text
stringlengths
518
8.19k
meta
dict
ssuming n is positive. n**(16327/4620) Simplify ((f*f**(2/11))/(f/f**(-4/5)))**47*((f**(-1/2)*f)**(-12))**16 assuming f is positive. f**(-6878/55) Simplify ((u**(-2/7))**(9/2))**(4/3)/((u**1)**(-39))**46 assuming u is positive. u**(12546/7) Simplify (((b**(2/5)*b**(-3/4))**(1/36))**(3/37))**33 assuming b is positive. b**(-77/2960) Simplify q**(-1/5)*q**(-5/2)*(q*q**(-6)*q)/(q/((q**(2/3)*q)/q))*(q**1)**(1/24)/((q*q*(q**(-2/15)*q)/q)/q**(-2/11)) assuming q is positive. q**(-11933/1320) Simplify (((n**8*((n**(-7)*n)/n*n)/n)/((n/n**2)/(n*(n*n/(n/n**(-8)*n))/n*n)))**(2/63))**(14/3) assuming n is positive. n**(-20/27) Simplify ((((k**(2/69)*k)/k**47)**(-5/2))**(1/69))**(-5/8) assuming k is positive. k**(-19825/19044) Simplify (c/((c/(c*c/(c**21/c*c)*c))/c)*c)**(2/17)*c**(-25)/c*c**(-3/2) assuming c is positive. c**(-999/34) Simplify ((r*(r*r**(-1/4)*r)/r)/r*r*r**(-1/2))**(-2/19)*r*r*(r/(r*r**(1/8))*r*r)/r*r*r**(2/13)/r*r**3*r*r*r*r**(-1/9) assuming r is positive. r**(156253/17784) Simplify (((i/(i*i**(-2/5)*i))/i)**(2/19))**31*(i**(-1/7)*i*i*i**(2/7))/(i**2/(i/i**4*i)) assuming i is positive. i**(-4707/665) Simplify ((y/(y*y/y**(-3)))/y**(2/13)*y**(-3/5)*y*y**(1/3)*y)/((y**(-4)*y/y**(2/9))/(y*y*y/(y**1/y)*y/y**(-2))) assuming y is positive. y**(3979/585) Simplify ((g**3*g*(g*g*(g/(g/(g**14*g)))/g*g*g)/g*g)/((g*g**(-2/47)*g)/(g*g*(g*g*(g*g**(9/2))/g)/g*g)))**45 assuming g is positive. g**(120735/94) Simplify (((h*h**(-3/2))/h)**(3/10))**30/((h/h**(-4/5)*h/(h/((h/(h**(-5/4)*h*h))/h)))/(h*h**(-1/2))**(-4/21)) assuming h is positive. h**(-6151/420) Simplify (x*x*x**(-6/11)*x)/x**0*x**(-1)*x**(-8)*x**9/x**1*(x/(x**1*x))**(1/33) assuming x is positive. x**(47/33) Simplify (a**2/(a/(a/(a/(a*a**(1/2)))))*a**(1/3)/(a/a**3))/((a**1/a)/a*a**(1/3))**7 assuming a is positive. a**(19/2) Simplify (((j/(j/(j*j**(-2/9))))/j*(j**(-4/3)/j*j)/j)/(j/j**0*j*j)**15)/((j*j**(-1/3))**(-3/2)*(j**(-2/5))**(-2/7)) assuming j is positive. j**(-14701/315) Simplify (t**(-2)/t**(2/9))**(-25/3)*(t**(1/9)*(t**(4/3)*t)/t*t)/(t**(-1/4)*(((t*t*t**(-5)/t*t)/t)/t)/t) assuming t is positive. t**(2939/108) Simplify (((o/(((o**(-3)/o)/o)/o*o)*o)/(o/o**(-2/3)*o))/(o*o/(o**(-4/11)/o*o)*o*o*o**(-1/2)/o))/((o/(o*o**6))/(o/o**14))**(-41) assuming o is positive. o**(19039/66) Simplify ((((m**(2/17)*m)/m*m)/m)/m*m*m**(2/5)*m)/((m**(-4)*m)/(m/m**(-2/7)))*(m**(-5)*m**(-3/5))**(9/2) assuming m is positive. m**(-11541/595) Simplify (r/(r*(r/((r/(r/(r/r**12)*r*r*r*r))/r)*r)/r)*r*r**(2/17))**0*r*r*r**4*r*r**1*r*r**(2/7)*r**(-8) assuming r is positive. r**(9/7) Simplify ((f**1*f)/f*f**(-5)*(f/(f/f**(2/11)))/(f*f/(f*f**(-8))*f))/(f**(-5)/f**(-4)*f**(-1/10)*f*f**(-2/9)*f*f) assuming f is positive. f**(-15341/990) Simplify ((l**(-1/4)/(l/(l/(l**(-10)/l))))/(l*l*l*l/(l*(l/(l**(-4/7)*l*l)*l*l)/l*l))**(-9))**(-34) assuming l is positive. l**(-11237/14) Simplify ((v*v*v/(v**(-10)*v*v))/v**(-2))**0*((((v*v**(-3))/v)/v)/(v*(v*v**(5/2)*v)/v))/(v**(-1)/v)**(12/13) assuming v is positive. v**(-173/26) Simplify (w/w**(-19))**9/(w/(w*w**(-18)*w)*w/(w/w**(-1/26))*w*w) assuming w is positive. w**(4187/26) Simplify (g**14)**(-33)*g**(-14/9)*g**41 assuming g is positive. g**(-3803/9) Simplify (v**(-6)*v**7)**(13/4)*v**(2/9)*(v/v**(-2/5))/v*(v/v**(-2/3))/v*v**(-1/3)*v assuming v is positive. v**(937/180) Simplify ((s/((s/s**(2/9))/s)*(s/s**(-4))/s)/(s/(s*s*s**1)*s*s)**27)/((s**(-4)*((s*s*s/(s**(-1)*s))/s)/s*s)/(s**(3/7)*s*s**1)) assuming s is positive. s**(608/63) Simplify (o**1)**(-1/19)*(o**1*o)**(-1/20)*(o/(o*o*o*o/o**(-1/4)*o))/(o*o**(-2))*(o/(o**1*o))**(-8/3) assuming o is positive. o**(-839/1140) Simplify ((k**(-1/7)*((k*(k*k**(1/4))/k)/k)/k*(k**8*k*k)/(k*k**0))**1)**(-17) assuming k is positive. k**(-3859/28) Simplify ((f**(-2/9)*f*f)/f**(-8)*f**(-8)/f*(f*f**(-7))/f)/((f/f**3*f)**(-36))**(-11/5) assuming f is positive. f**(3284/45) Simplify (((p/p**(4/7))/p**3*(p/(p**0*p)*p*p*p)**(-45))**(1/72))**36 assuming p is positive. p**(-963/14) Simplify (((v**(-1/4)*v**(-10))/(v**(-3/2)*v*(v**(-1/2)/v)/v))**(1/16))**(3/2) assuming v is positive. v**(-87/128) Simplify (i*i**0/i)**7/(i**5/((i*i/(i*i**(2/9)))/i*i))*(i/(i/i**(2/7))*i**8*i)/(i**(1/3)/(i/(i*i**(1/5)/i*i*i)*i*i)) assuming i is positive. i**(1742/315) Simplify (w**(1/5))**(-47)*((w*(w**(1/4)*w)/w)/w)**(24/11)*(w**0/w**(-5))/((w**(-4/7)*w*w)/(w*w**9)) assuming w is positive. w**(1816/385) Simplify ((l/(l/(l/l**(-1))))**(-17)/(l**3*l**(-23)))**24 assuming l is positive. l**(-336) Simplify ((n**35*n)/n)/(n*(n/n**6)/n*n)*n**40/n**(1/21) assuming n is positive. n**(1658/21) Simplify (g**(2/13)*g**(-1)/g*g**(2/23)*g/((g/g**18*g*g)/g)*g)**(-20/9) assuming g is positive. g**(-97120/2691) Simplify ((h/(h/h**(-22)*h))**(10/11)*h**(-1)*h**(-3/31)*h)**(4/15) assuming h is positive. h**(-28652/5115) Simplify ((p**(-9)*p**8*p/(p*p**(-1/4))*p/p**(-8)*p)**(2/25))**(-15) assuming p is positive. p**(-111/10) Simplify ((u/(((u*u*u*u**(-1)*u)/u)/u))/(u/u**(-1/2)))/((u/(u*u*(u*u/u**0)/u*u))/u)**(-36)*((u**(3/4))**(-1/23))**32 assuming u is positive. u**(-6741/46) Simplify ((s/s**5)/s**2)**(-23/4)/((s*s**1*s*s**4)/(s**(2/11)/(s*s/(s*s*s*s**(1/6))*s))) assuming s is positive. s**(919/33) Simplify (q/(q**(-1)*q))**(-26)/(q**(-4)/(q*q**(7/4)))*(q/(q/q**(1/12))*q*q**(-9))**42 assuming q is positive. q**(-1407/4) Simplify (u**(-2/9)*u*(((u**(-5)*u)/u)/u)/u*u)**(-13)/((u**2*u)**14)**(-40) assuming u is positive. u**(15731/9) Simplify s**(1/8)*s/s**(1/5)*(s**(2/3))**4*(s*(((s/s**(-2/7))/s)/s)/s*s**0)**(-2/21) assuming s is positive. s**(7173/1960) Simplify ((q**1/q**(-1/4))/(q*(q/((q/(q**(-2/3)/q*q))/q)*q)/q)**22)/(q**(-6)*q**(-4))**(5/11) assuming q is positive. q**(-3107/132) Simplify ((f*f**13*f*f)/(f/(f*f*(f/(f*f**10/f))/f))*(f**(-17)/f)/(f**(-17)/f))**(-15/4) assuming f is positive. f**(-105/4) Simplify ((i**(-2)/i**(2/9))/(i/(i*i**(-1/3)))**(26/9))/(i**(3/4)*i*i**(2/11)/i*i**8*i*i**(3/4)) assuming i is positive. i**(-8237/594) Simplify y**39/(y**(-14/5)/y)*y**8*y*y**8 assuming y is positive. y**(299/5) Simplify (z*((z/z**(2/7))/z)/z)**(-11)/(z/(z*z**5*z)*z/((z*z**(-1/6))/z*z))*((z*z**3/z)/(z/z**(-2/9)))**(-34/3) assuming z is positive. z**(-4223/378) Simplify (((q/(((q/q**(-1/4))/q)/q))**13*(((q/(q/(q/q**2))*q)/q)/q)**48)**(-10/3))**12 assuming q is positive. q**2930 Simplify z*z*z/(((((z/((z/z**(-7))/z)*z*z)/z)/z)/z*z*z)/z)*z**(5/18)*(z*z**(-2/3)*z)/z**(-6/23) assuming z is positive. z**(4501/414) Simplify ((r**(-1/4)/(r/(r**(-1/6)*r)))/(r**(-2/5)*r)**(25/4))/(r*r**(-5)*r**3/r*r)**(-10/7) assuming r is positive. r**(-235/42) Simplify (q**(-4/7)*q**5)**(20/3)*(q**(-3/4))**(-1/13)/(q**(6/7)/(q/q**8)) assuming q is positive. q**(3389/156) Simplify ((f**(-2/3)*f**(4/3))/(f**(-1/11)/(f/(f**(-5/6)*f))))/((f*f**(2/3))**(-7/5)*f**(-1)*(f**3/f)/f) assuming f is positive. f**(259/66) Simplify (p/(p**(-3)/p))/(p/(p*p**(-2/5)/p))*((p**(2/11)*p)/p)/((p/(p*p/p**(2/15))*p)/p)*((p/(p/(p/(p/p**(-2/3)*p))))**33)**(5/2) assuming p is positive. p**(-43841/330) Simplify ((((y**5)**6)**49)**(-28))**(-6/17) assuming y is positive. y**(246960/17) Simplify (w*w**(-2/5))/(w**(1/4)*w)*(w**(2/3)*w)**(-11/4)*((w*w**1)/w**(-1/5))**(3/20) assuming w is positive. w**(-1471/300) Simplify ((h**(-1/3))**(-2/25)*(h*h**(-2/5))/(h**(-2/23)/h))/((h**(-1)*h**(2/29))/(h*h**(-1))**9) assuming h is positive. h**(132299/50025) Simplify ((s**(-2/5))**(3/4))**(-10)/(((s/(s**(-2)/s))/(s*s**(-3)))/((s/((s*s**(-6)*s)/s))/(s*s**(2/9)/s))) assuming s is positive. s**(25/9) Simplify (o**(-1)*o*o)/((o/o**(1/5))/o)*(o**1/o)**29*((o*o/o**(-1/4)*o*o)/(o/(o/o**(1/3))))**(-12/17) assuming o is positive. o**(-133/85) Simplify (s**16*(s/(s**(-3/14)/s)*s)/s*(s**0)**24)**(28/3) assuming s is positive. s**170 Simplify ((m*m**(-1/4)/m*m*m)**(-2/71)*(m*m*m*m**2)**(2/25))/((m*m*m/(m/(((m*m**4)/m)/m)))**(-10/7))**(-49) assuming m is positive. m**(-248251/710) Simplify ((f**(-24))**(-5/4)/((f**6*f)/(f**(-1/2)/f)))**9 assuming f is positive. f**(387/2) Simplify (((d*d**(-3/5)*d)/d)/(d/d**(-4)))**(-1/46)/(((((d**1*d)/d*d)/d)/d)/d**(-3))**(-40) assuming d is positive. d**(1201/10) Simplify (((q/(q/(q*q*q*q**(-2))))**(5/3)*(q**7*q)/(q/q**(-7/2)))**(1/5))**(-45) assuming q is positive. q**(-93/2) Simplify (v*v**(-34))**(-6/19)*(((v**(2/19)/v)/v)/v)/(v**(
{ "pile_set_name": "DM Mathematics" }
*l**3 + z*l**2. What is the first derivative of r(c) wrt c? -6*c**2 Let m(u) be the third derivative of 0*u - 2/3*u**3 + 0*u**6 + 0 + 0*u**5 + 1/70*u**7 + 2*u**2 + 0*u**4. Differentiate m(w) wrt w. 12*w**3 Let q be (-3)/3*(3 - 6). Let x(w) be the second derivative of -1/12*w**4 - 2*w + w**2 + 0 + 0*w**q. What is the first derivative of x(b) wrt b? -2*b Let x(s) = 2*s**2 + 1. Let w be x(1). Let p(d) be the first derivative of 2 + 5*d**3 + 0*d**w - 4*d**3 - 2*d. What is the first derivative of p(a) wrt a? 6*a Let n(b) be the third derivative of b**9/72 + 11*b**5/30 + 12*b**2. What is the third derivative of n(z) wrt z? 840*z**3 Let r(j) be the third derivative of -19*j**9/252 - 7*j**5/12 - 16*j**2. Find the third derivative of r(l) wrt l. -4560*l**3 Let z(c) be the second derivative of c**7/6 - c**4/6 - c. Find the third derivative of z(a) wrt a. 420*a**2 Let b = -4 - -9. Find the second derivative of -4*q + 5*q**5 - 3*q**b - 2*q - 4*q**5 wrt q. -40*q**3 Suppose 4*h + 4*m + 8 = -0*h, 4*h + 3 = m. Let d be h - ((-2 - 2) + 1). What is the third derivative of -4*a**2 + 3*a**d + 0*a**2 - 2*a**4 wrt a? -48*a Let o(d) be the first derivative of 0*d**4 - 2/3*d**3 + 0*d**2 + 5 - 6/5*d**5 + 0*d. What is the third derivative of o(j) wrt j? -144*j Let b(j) = -2*j + 17. Let r(g) = 3*g - 35. Let q(i) = -5*b(i) - 2*r(i). Find the first derivative of q(n) wrt n. 4 Let k(v) be the first derivative of -2 + 3/2*v**2 + 2/3*v**3 + 0*v. Find the second derivative of k(m) wrt m. 4 Let t(c) be the third derivative of -c**7/1680 - c**6/720 - c**5/30 - c**2. Let k(f) be the third derivative of t(f). Find the first derivative of k(i) wrt i. -3 Let h(x) be the second derivative of 3*x**5/5 + 2*x**3 - 7*x. What is the second derivative of h(g) wrt g? 72*g Let t(n) = -n - 8. Let m(j) = 5*j + 2. Let s be m(-2). Let u be t(s). Find the second derivative of q**3 - 2*q + u*q**3 + 0*q wrt q. 6*q Let f(k) = 10*k**3 + 5*k. Let a(s) = 5*s**3 + 2*s. Let x(d) = -7*a(d) + 4*f(d). Find the second derivative of x(h) wrt h. 30*h Let d(r) be the second derivative of -4*r**7/21 + 2*r**4/3 - 3*r. Find the third derivative of d(v) wrt v. -480*v**2 Find the second derivative of 2*i + 2*i + 21*i**4 - 37*i**4 wrt i. -192*i**2 Let r(g) be the first derivative of g**6/30 + g**5/20 - 5*g**2/2 - 2. Let h(d) be the second derivative of r(d). Find the third derivative of h(a) wrt a. 24 Suppose -l + 2*p + 4 = -4, 0 = 2*l - 5*p - 19. What is the third derivative of -6*n**l - n**4 + 6*n**6 + n**4 wrt n? 720*n**3 Let j be (-1)/5 - (-21)/5. Let v(m) = -4*m**2 + 4*m + 9. Let x(d) = -d - 1. Let g(q) = j*x(q) + v(q). Differentiate g(p) with respect to p. -8*p Let y(d) be the first derivative of 3*d**4 + 7*d - 36. What is the first derivative of y(c) wrt c? 36*c**2 Let s be (1 - 1)*4/(-4). What is the second derivative of 2*n + s*n**2 + 5*n**2 + 0*n**2 wrt n? 10 Let u(o) = o**3 - o - 1. Let r(b) = -16*b**3 - 20*b - 4. Let w(n) = r(n) - 4*u(n). What is the second derivative of w(g) wrt g? -120*g Let z(q) be the first derivative of 2 + 0*q - 1/4*q**4 + 0*q**3 - 1/2*q**2. What is the second derivative of z(o) wrt o? -6*o Let h(i) = 23*i**2 - 22*i. Let f(c) = 8*c**2 - 7*c. Let l(j) = 17*f(j) - 6*h(j). Find the second derivative of l(d) wrt d. -4 Let j be (4/(-6))/((-2)/9). What is the third derivative of 3 + 3*q**2 - j + 3*q**5 - 2*q**2 wrt q? 180*q**2 Suppose 2*v = 2*x + v - 6, 2*x = 3*v + 2. Let l(g) = g - 1. Let s be l(x). What is the derivative of -j**2 + 0 - 2 - s*j**2 + 5*j**2 wrt j? 2*j Differentiate 6*f**2 - 4 + 0*f**2 + 7 + 7 with respect to f. 12*f Suppose 4*w - 32 = -0*w. Let c(b) = b**2 - 2*b - 3. Let p(m) = 3*m**2 - 5*m - 8. Let t(j) = w*c(j) - 3*p(j). Find the second derivative of t(x) wrt x. -2 What is the second derivative of 7*s**4 - 14*s**4 + 8*s + 8*s**4 wrt s? 12*s**2 Let p(j) = -j - 1. Let w(b) = -3*b**3 + 7*b**2 + 6*b + 6. Let t(v) = -6*p(v) - w(v). Find the third derivative of t(q) wrt q. 18 Let r(x) be the second derivative of x**2 + 4*x + 0 - 1/6*x**3. What is the derivative of r(d) wrt d? -1 Find the second derivative of -7*t + 38*t**5 - 11*t + 15*t wrt t. 760*t**3 Let m(z) be the second derivative of -z**7/3 - 19*z**4/6 - z + 4. Find the third derivative of m(n) wrt n. -840*n**2 What is the third derivative of -3 + 3 - 18*h**2 + 25*h**2 - 10*h**4 wrt h? -240*h Let s = 5 + 17. What is the derivative of -23 + s + 7*z**2 - 3*z**2 wrt z? 8*z Let j(w) be the third derivative of 1/24*w**4 + 0*w**7 + 8*w**2 - 1/336*w**8 + 0 + 0*w**6 + 0*w**5 + 0*w + 0*w**3. Find the second derivative of j(g) wrt g. -20*g**3 Let x = 1 - 2. Let y be x + 2 + -1 + 4. Differentiate l**y - 2 + 0*l**4 - 2*l**4 with respect to l. -4*l**3 Find the third derivative of 8*f**6 + 44 - 44 + 6*f**2 wrt f. 960*f**3 Let f(s) = -12*s**4 - 8*s + 4. Let q(l) = -l**4 - l + 1. Let n(o) = -f(o) + 8*q(o). What is the derivative of n(w) wrt w? 16*w**3 Suppose 22 = q + 4*y, 3*q - 44 = -q - 5*y. Suppose -q*b = -11*b + 25. Find the second derivative of -4*r**5 + 4*r**5 + r**b - 2*r wrt r. 20*r**3 Suppose -4*i + 4 = -8, -5*i + 27 = 4*c. Differentiate -8*r - 8 - c*r + 5*r - 2*r wrt r. -8 What is the second derivative of -9*k**5 - 10*k - k**5 + 5*k wrt k? -200*k**3 Find the second derivative of 4*g**3 - 2*g + 0*g + 9*g**3 wrt g. 78*g Let s(b) = 29*b**3 + 5*b + 7. Let o(c) = -44*c**3 - 8*c - 10. Let g(p) = -5*o(p) - 8*s(p). What is the first derivative of g(m) wrt m? -36*m**2 Let c = 7 + -9. Let b = c - -5. Find the second derivative of -5 + 0*g + 2*g + 5 + b*g**4 wrt g. 36*g**2 Let i(f) be the second derivative of 0*f**2 + f - 1/30*f**6 - 1/6*f**4 + 0*f**3 + 0*f**5 + 0. What is the third derivative of i(t) wrt t? -24*t What is the second derivative of -56*d**4 + 64*d**4 - 14*d + 5*d wrt d? 96*d**2 Let d(l) be the second derivative of -2*l**6/15 + 19*l**2/2 - 13*l. Differentiate d(q) with respect to q. -16*q**3 Let n(o) be the first derivative of 0*o - 7/5*o**5 + 4*o**2 + 0*o**4 + 0*o**3 + 3. What is the second derivative of n(m) wrt m? -84*m**2 Let a(h) be the second derivative of h**11/18480 - h**7/2520 + h**4/4 + h. Let n(k) be the third derivative of a(k). Find the third derivative of n(q) wrt q. 360*q**3 What is the second derivative of -j + 3*j**5 + 28*j - 23*j**5 - 2*j wrt j? -400*j**3 Let p(j) be the second derivative of 7*j + 5/3*j**3 + 0 + 0*j**2 - 1/12*j**4. Find the second derivative of p(l) wrt l. -2 Let k = 20 + -14. Find the third derivative of 4*i**k + 0*i**6 - 10*i**6 - 7*i**2 wrt i. -720*i**3 Let z(v) be the third derivative of -v**5/12 - v**3 - v**2. What is the derivative of z(k) wrt k? -10*k Let r(n) = -25*n**4 - n - 2. Let z(m) = 26*m**4 + m + 3. Let v(k) = -3*r(k) - 2*z(k). Find the second derivative of v(c) wrt c. 276*c**2 Let x(j) = -j**3 - 9*j**2 + 9*j - 14. Let w be x(-10). Let g be (-4 + -1)*w/10. What is the second derivative of g*q - 3*q**3 - 2*q - q wrt q? -18*q Let o(h) be the second derivative of 1/6*h**6 + 0*h**3 + 0*h**5 + 0*h**4 - 1/2*h**2 - 4*h + 0. What is the first derivative of o(v) wrt v? 20*v**3 Let q(g) = -5*g**2 - 3*g + 1. Let n(y) = -4*y**2 - 2*y + 1. Let p be 1/(-2)*(2 + 2). Let c(w) = p*q(w) + 3*n(w). Differentiate c(z) wrt z. -4*z Let i(m) = 3*m**2 + 2*m + 1. Let f be i(-1). Suppose 2*l = -5*b + 1, f*l + 3 = b + 10. What is the second derivative of 0*y**3 + 2*y**l + 0*y - y wrt y? 12*y Let y(s) = 4*s**6 - 7*s**2 + 3*s + 3. Let w(j) = 9*j**6 - 14*j**2 + 7*j + 7. Let g(x) = -3*w(x) + 7*y(x). What is the third derivative of g(m) wrt m? 120*m**3 Let v(a) = -29*a**5 + 9*a**3 - 25*a + 9. Let c(z) = -7*z**5 + 2*z**3 - 6*z + 2. Let i(w) = -9*c(w) + 2*v(w). What is the second derivative of i(o) wrt o? 100*o**3 Differentiate 6*k**2 - 13*k + 13*k + 6 wrt k. 12*k Let a(k) be the third derivative of -19*k**7/210 + k**5/3 + 21*k**2. What is the third derivative of a(u) wrt u? -456*u Let u(m) be the first derivative of -21*m**2 - 10*m - 33. Find the first derivative of u(l) wrt l. -42 Suppose 0 = -5*k + k. Suppose k = -0*y - y. Find the first derivative of -6*a + y*a + 2 + 4*a wrt a. -2 Suppose 2*o - o = 1, -11 = -z - 4*o. Find the second derivative of 0*v + 3*v - 4*v**4 - z*v + 0*v**4 wrt v. -48*v**2 Find the third derivative of -w**2 - 3*w**5 - 2*w**2 - 4*w**2 wrt w. -180*w**2 Let z(n) = 20*n**4 - 3*n*
{ "pile_set_name": "DM Mathematics" }
closest to -3 in 3/7, -5, -0.016? -5 Which is the closest to -1? (a) -2/7 (b) 5 (c) 4 a What is the closest to 7 in -5/3, -4, -0.2, -5? -0.2 Which is the nearest to -2? (a) -4 (b) 4 (c) -3 (d) 1 c Which is the closest to 13? (a) 1/4 (b) 2 (c) 5/4 b What is the closest to 4 in 2, -3/7, -0.5? 2 What is the closest to 0 in 4, 0.1, 1/33? 1/33 Which is the nearest to -0.1? (a) -1 (b) -187 (c) -2/3 c Which is the nearest to 3? (a) 2.6 (b) 4 (c) 1/7 a Which is the nearest to 1/4? (a) 0.3 (b) 1 (c) 2 (d) -1/11 a What is the closest to 0 in -11/5, 8, 0.4? 0.4 Which is the nearest to -1/25? (a) 1 (b) -2 (c) -3 (d) -4 a What is the nearest to 3 in -1, -2/5, -0.6? -2/5 What is the nearest to -4 in -1/6, 0.32, -0.1, 3/5? -1/6 What is the closest to 0.4 in -27, 0.1, -5? 0.1 Which is the closest to 1? (a) -3/5 (b) 2/19 (c) 5 b Which is the closest to 5? (a) -3 (b) -0.4 (c) -5 (d) -7 b What is the closest to 2/65 in 1, 0.2, 0? 0 What is the nearest to -2/7 in -1/5, 2.1, -2? -1/5 Which is the closest to -0.06? (a) -2/5 (b) -1/4 (c) 1250 (d) -4 b What is the closest to -1 in -191, 5, 0.5, -0.1? -0.1 Which is the nearest to -5? (a) -4 (b) 0 (c) 0.3 a What is the closest to 2 in -2, 1, -18, 1/7? 1 What is the closest to -0.16 in -1/7, 2/5, 1.3, 0.1? -1/7 What is the closest to -2 in -5, 1/7, -0.4, -1? -1 Which is the nearest to 2/5? (a) 339 (b) 0.1 (c) -3 b Which is the closest to 0.1? (a) 1 (b) 7 (c) -0.07 c Which is the closest to -0.2? (a) 3 (b) 1 (c) -2/9 (d) -10 c Which is the nearest to 3? (a) -0.9 (b) 4 (c) -8 b Which is the closest to -3? (a) -4/5 (b) -27 (c) -0.2 a What is the nearest to -0.4 in -4, -1, -2, -0.2? -0.2 What is the closest to 1/2 in -3, 1, -4, 2? 1 Which is the nearest to -2/7? (a) 2/5 (b) 864 (c) -3 a What is the closest to 15.1 in 2/5, -0.05, -1? 2/5 Which is the nearest to -56? (a) 5 (b) 1/11 (c) 4 (d) -5 d What is the closest to -10 in 5, 2/7, -4, 4? -4 Which is the closest to -6? (a) 2/3 (b) -5 (c) 5 (d) -0.5 b What is the nearest to -1 in -2/267, -4, 0.3? -2/267 Which is the closest to -0.1? (a) 3 (b) 0 (c) -3 (d) -2 b What is the closest to 0.01 in 0.1, 3/2, 7? 0.1 What is the closest to 0 in -0.1, 0.82, -1, 0? 0 Which is the closest to -1? (a) -0.34 (b) 0.4 (c) -0.1 (d) 4 a What is the closest to -2/75 in -69, 5, 0.5? 0.5 Which is the closest to 1/22? (a) 5 (b) -1 (c) 1/15 c Which is the nearest to -2? (a) -1/3 (b) -0.1 (c) 0.4 (d) 0.07 a What is the closest to -1/4 in 0, -3.8, 0.3, -4? 0 Which is the nearest to -1? (a) 1/2 (b) 5/4 (c) 174 (d) 43 a Which is the closest to 0.06? (a) -0.5 (b) 8/3 (c) -0.2 (d) -6/5 c Which is the nearest to -1? (a) -0.1 (b) -0.5 (c) -2 b Which is the nearest to -357? (a) 2/21 (b) 2 (c) -0.1 (d) -2 d What is the nearest to 15 in -1, 1, 2, -0.3? 2 What is the nearest to 2/9 in 0.4, -1.4, 8? 0.4 Which is the closest to 6? (a) 2 (b) -4/7 (c) -0.07 a What is the nearest to -1 in -2, 6/5, 2/13? -2 Which is the closest to -5? (a) -39 (b) -0.4 (c) -4 (d) -5 d What is the nearest to 0.069 in 4, -3, -2/7? -2/7 Which is the closest to -2/5? (a) -0.1 (b) 0.28 (c) 3 a Which is the nearest to 2? (a) 0 (b) 9 (c) 9/4 c What is the nearest to 35/31 in 0.2, -0.2, 0, -2? 0.2 What is the closest to -6 in -6/5, 0.2, -0.03, 4? -6/5 Which is the closest to 1? (a) 5 (b) -9 (c) -2/11 c Which is the nearest to 2/7? (a) 0.1 (b) 0.5 (c) 2/11 (d) 3 c Which is the closest to 1? (a) -2/7 (b) 6 (c) -0.04 (d) 4 c Which is the nearest to -2/5? (a) 4 (b) 4/5 (c) -5 (d) 0.04 d What is the closest to 4/3 in 2/9, -3/2, 3? 2/9 Which is the closest to 12? (a) -3/4 (b) 2 (c) 1 (d) -15 b What is the nearest to 1 in 16, 8, 5/6? 5/6 Which is the nearest to 2? (a) 5 (b) 2/5 (c) 4.01 b Which is the nearest to 28? (a) -4 (b) 3 (c) -5 b Which is the closest to -3? (a) 0.4 (b) 7 (c) -2/3 (d) 5 c Which is the closest to -2/11? (a) 1/3 (b) -19 (c) 2/5 a Which is the nearest to -1/3? (a) 0.3 (b) -1/5 (c) -6/5 b What is the nearest to 3/8 in -2, 3, 0.4, -2/5? 0.4 What is the closest to 0.2 in 0, 0.2, 0.014, 7? 0.2 Which is the closest to 4? (a) 1 (b) 0.2 (c) 0 a Which is the nearest to 14? (a) 1/6 (b) 1/4 (c) 3 (d) 3/5 c Which is the closest to -2? (a) -0.5 (b) 0.0738 (c) 4 a Which is the nearest to 0? (a) 1 (b) -4 (c) -1/3 (d) 2/85 d What is the closest to -5 in -0.4, -1/11, -1, -0.2? -1 Which is the closest to -2/5? (a) -2/11 (b) -3 (c) -67 a Which is the nearest to -0.2? (a) -0.4 (b) 2 (c) -2/7 c What is the closest to 2 in 0.4, 4/3, 1/5, 0.6? 4/3 Which is the nearest to 3/7? (a) 1/8 (b) 150 (c) 2/9 c What is the closest to 1/2 in 4, 3/4, -4/51? 3/4 What is the closest to 0.1 in -550, 2, 0.1? 0.1 Which is the closest to 0? (a) -10/3 (b) 0.4 (c) 4 b What is the nearest to 2 in -1/31, 1/5, 2/3? 2/3 Which is the closest to -8? (a) 4 (b) -0.1 (c) 5 b Which is the nearest to 487? (a) 2/23 (b) 1 (c) 1/3 b What is the closest to 1/5 in -0.2, 1, -16/3? -0.2 What is the nearest to 13 in 7/2, 0.2, -2/7? 7/2 Which is the closest to 2/7? (a) -0.1 (b) -29 (c) 0.4 (d) -3 c What is the closest to -15 in 3/5, 0.5, 2/9? 2/9 What is the nearest to 0.1 in -1, 2, 0.031, -12? 0.031 Which is the nearest to -1/8? (a) -3/2 (b) -3 (c) 0.09 (d) 0.4 c Which is the nearest to 0.4? (a) 0.4 (b) 2/11 (c) -3 a What is the nearest to 0 in -2, -2/11, -7, -3? -2/11 What is the nearest to 2/15 in 0, 0.08, -0.2, 5? 0.08 What is the nearest to 1/2 in -2, -0.3, 0.3, -4? 0.3 Which is the nearest to -2/13? (a) -0.5 (b) -11/6 (c) -1/11 (d) -5 c Which is the closest to -0.2? (a) -0.064 (b) -0.4 (c) -0.5 a What is the closest to 1 in -6, -3, 0.2, -1/6? 0.2 What is the nearest to -2/3 in 7, -3/4, -0.2? -3/4 Which is the nearest to -2? (a) 4/7 (b) -1 (c) -4 b What is the nearest to -0.1 in -1.46, -0.05, 1? -0.05 What is the closest to -2/7 in -0.3, 5, -3, 4/7? -0.3 What is the closest to 0.1 in -0.09, 4, -0.7, -11? -0.09 What is the nearest to 1/3 in -18/5, 0.1, -5/6? 0.1 Which is the closest to 0.2? (a) 2 (b) 4 (c) -0.0728 c What is the closest to -0.3 in 5, 3, -12, -3? -3 What is the nearest to -2/9 in -2/7, -0.1, -1/7, 0? -2/7 What is the nearest to 1.1 in -0.5, -26, -5? -0.5 What is the nearest to 7 in -0.3, 1/31, -0.4? 1/31 Which is the nearest to -1/2? (a) 0 (b) -9 (c) -0.05 (d) 3 c Which is the nearest to -2/5? (a) 0.396 (b) 1 (c) -4 a Which is the nearest to 2/11? (a) -0.4 (b) -2/13 (c) -0.6 (d) 1/6 d What is the nearest to 0 in 0.2, -14, -3? 0.2 What is the closest to -39 in 4/5, -0.4, -1/2, 53? -1/2 What is the nearest to 1/4 in -2, 4, 0.07? 0.07 What is the nearest to -1 in 2/9, 6, 21? 2/9 What is the closest to -7 in -3/4, -0.2, 9/2, -5? -5 What is the nearest to 1 in 6, -2/5, 3? -2/5 Which is the closest to -0.6? (a) 2 (b) 8 (c) 1 (d) -4/3 d What is the closest to 4/7 in -0.1, 3, 0.1, -0.4? 0.1 What is the nearest to 0.1 in 3, 5.7, 0, -3? 0 What is the closest to 2/5 in -0.3, -12/13, 4, -2? -0.3 Which is the closest to 2? (a) 6/5 (b) -1/4 (c) -0.2 (d) -3 a Which is the closest to -1? (a) 3 (b) 0.3 (c) 0.05 c What is the nearest to -0.1 in -1.34, 3, 2, 0.3? 0.3 Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) -5 a Which is the closest to 1? (a) 4 (b) 110 (c) -1 c Which is the nearest to -1/2? (a) -7/2 (b) 3 (c) -14 a What is the nearest to 1 in 3/2, 4, 0.18? 3/2 Which is the nearest to 6/5? (a) -5 (b) 0.2 (c) 4 (d) 1 d Which is the nearest to 0.2? (a) -5 (b) -1/3 (c) 0.6 (d) -0.5 c What is the nearest to -2 in -5, 0.01, 3, 1/2? 0.01 What is the closest to -2 in 10, 3, -2/11, -1/3? -1/3 Which is the closest to 22/3? (a) -3/4 (b) 0 (c) 3/7 (d) 0.4 c Which is the closest to 2? (a) -3 (b) 0.1 (c) 0.5 c What is the nearest to 0 in 27, -5, 1, -2? 1 Which is the nearest to 1? (a) 1 (b) 17.2 (c) 4 a What is the closest to -2 in -4/7, 20, 3, 2? -4/7 Which is the nearest to -1? (a) 0 (b) -27 (c) 3 a Which is the closest to 0? (a) -4 (b) 0.3 (c) -2 (d) 168 b What is the closest to -1/4 in -3, -36/13, 6/13, 3? 6/13 What is the closest to -2/5 in -2/9, -1/10, -2? -2/9 Which is the closest to -0.15? (a) -0.2 (b) -7 (c) -0.3 a What is the
{ "pile_set_name": "DM Mathematics" }
t y be w/((-5)/((-15)/6)). Solve y = -s + 2 - 5 for s. -3 Let n(m) = m - 5. Let r be n(7). Suppose 0 = c + r*c - 15. Solve 8 + 12 = c*a for a. 4 Suppose -3*h + 5*k = 3 + 5, 0 = 5*h - 5*k + 10. Let y = 3 + h. Solve -5*q - y + 12 = 0 for q. 2 Suppose -17 = 2*p - 25. Let m be 50/8 + 2/(-8). Let n be ((-2)/(-5))/((-2)/(-30)). Solve -n*c = -p*c - m for c. 3 Suppose 0 = -d - 4 - 0. Let k(j) = -j**2 - 7*j - 8. Let i be k(d). Solve -i*w + 2*w = 6 for w. -3 Let b = -196 + 208. Solve 4*h + b = h for h. -4 Suppose -d - 4*d = -35. Let i = 7 - d. Solve i*w - 10 = -5*w for w. 2 Suppose -x - x = -8. Suppose -22 = -s + x*j, 2*j + 45 = 3*s - 3*j. Let z be (9/(-1))/((-3)/2). Solve -4*b - z = s for b. -4 Let t = 21 + -6. Suppose 0 = -2*h + 5*g + 14, -4*h = -h + g - 4. Solve -h*d - d = -t for d. 5 Let d = 16 - 14. Solve 5*g = d*g for g. 0 Suppose 3*z + 13 = f + 7*z, 0 = 3*f - 2*z - 25. Let x be (-27)/(-6)*6/f. Solve -1 = -a + x for a. 4 Suppose -5*s + 176 = -s. Suppose m - j - 4 = 0, -s = -0*m - 3*m - 5*j. Solve 0*o + m = 2*o for o. 4 Let a = 29 + -42. Let c be 1/(a/(-4) + -3). Solve -c = -r - r for r. 2 Let i(q) = q**3 - 4*q**2 + 3*q - 8. Let n be i(4). Solve -w - 12 = -n*w for w. 4 Let p(v) = -v**3 - 9*v**2 - 7*v + 10. Let n be p(-8). Let b(z) = 2*z**2 - 2*z + 2. Let u be b(n). Let r be (3/3 - u)*-1. Solve r*w = -10 - 5 for w. -3 Let b be (-54)/(-8) - 2/(-8). Let i be 6/(-21) - (-90)/21. Solve b*s = i*s for s. 0 Let w(s) = -s**2 + 8*s - 7. Let n be w(6). Solve 0 = n*o + 1 - 6 for o. 1 Let y(j) = 2*j**2 + 2*j. Let h be y(-2). Suppose -5*o - 20 = -4*f, -3*o - 12 = 6*f - f. Solve f + h = -2*t for t. -2 Suppose 4*a - 18 = 4*h + 18, 20 = -5*h. Suppose 0 = -a*d + 4 + 6. Suppose w + l = 3, 4 + 5 = d*w - l. Solve w*i = -0*i for i. 0 Suppose 0 = 5*n - 2*n + 6. Let r(b) = -b**2 - b + 2. Let h be r(n). Solve h = -0*x + 3*x - 9 for x. 3 Suppose 4*j = 41 - 29. Solve -j*d + 3 = -6 for d. 3 Suppose 4*y + 4*a + 5 = a, -5 = y + 2*a. Solve -y = n - 3 for n. 2 Let m be 1/(-2) - 11/2. Let l = -3 - m. Solve 0 = -h - 0*h - l for h. -3 Suppose -2*q + 9 - 3 = 0. Solve -o = -q*o - 6 for o. -3 Let d(h) = 5*h - 18. Let u be d(4). Solve -c = -u - 2 for c. 4 Let a(l) = -l**2 - 11*l - 12. Let o be a(-9). Solve d + d + o = 0 for d. -3 Let y = -4 - -6. Let s(f) = 3 + y + 5 + f. Let a be s(-7). Solve -a*q - 5 = 2*q for q. -1 Let t(y) = -11*y**2 - 23*y - 6. Let n(d) = -5*d**2 - 11*d - 3. Let f(m) = -9*n(m) + 4*t(m). Let h be f(-7). Solve -o - 2 = -h*o for o. 1 Let k = -2 - -4. Let h be (40/48)/(k/12). Solve -10 = 3*c + h for c. -5 Let r = 3 + 0. Suppose r*f = -2*h - 2, 0 = 3*h + 9 + 3. Solve 5*w = f + 18 for w. 4 Let s be 50/18 - (-1)/(45/10). Let m(d) = -d**2 + 4*d + 5. Let r be m(5). Solve -9 = s*p - r*p for p. -3 Suppose -6 = -4*d + 10. Suppose -d = -5*s + 31. Solve 2*a - 3 = -s for a. -2 Let d(b) = -b**2 + 8*b - 3. Let n be d(7). Suppose 85 = 5*z + 5*k, 5*z - n*k + 21 = 106. Let i = z + -10. Solve -2*w + i = -1 for w. 4 Let j(u) = -u**3 + 5*u**2 + 5*u + 8. Let i be j(6). Solve -i*c = 7 + 1 for c. -4 Let x = -32 + 10. Let v be (-40)/x - (-6)/33. Solve 12 = -v*y + 2 for y. -5 Suppose 0*g + 4*g = 0. Suppose -3*x + 37 = 5*l, -4*l = -x - 4*x. Solve g*c + l*c = -20 for c. -4 Let r(k) = -k + 4. Suppose 0 = -4*q + 4*t, 0 = -0*q - q + 4*t. Suppose 0 = -2*v + 2*d - 2, q*v - 2*d + 14 = 2*v. Let g be r(v). Solve 0 = u - g for u. 1 Let h be 1 - 5/(-10)*2. Suppose 0 = -2*t - t. Solve t*q - h*q = 10 for q. -5 Let y(l) = -l**3 - 6*l**2 - l - 3. Let b be y(-6). Suppose 13 = b*f - j, -4*j - 20 = 3*f - 7*f. Let g be 1 - 0 - 9/(-1). Solve f*r + g = -r for r. -2 Let u = 3 + -2. Let r = -14 - -33. Suppose 63 = 4*p + r. Solve u - p = -2*l for l. 5 Let u be -3*(2 - 5/3). Let g = -1 - u. Suppose -a - 2*a = 4*x - 21, -a + 5*x - 12 = 0. Solve -3*z = -g*z - a for z. 1 Suppose l + 5 = -0. Let b = -19 + 16. Let d = b - l. Solve -d*g = -0*g for g. 0 Let x(v) be the first derivative of v**4/4 + 7*v**3/3 + 5*v + 2. Let b be x(-7). Suppose -b - 10 = -5*q. Solve q*z = 4*z - 5 for z. 5 Let g be (-1)/(-6) - (-141)/18. Solve -g = 5*y + 2 for y. -2 Suppose 0 = n - 4*n. Solve 2*j = -n*j for j. 0 Suppose -2*w + 4 = 2. Suppose -4*c - 5 = 7. Let h be 7 - 1 - 3 - c. Solve w = -5*f + h*f for f. 1 Let d be -5*(-3 - 13/(-5)). Let s(k) = 6*k - 2*k - 3 + 10 - 4*k**2 + k**3 - 2*k**d. Let y be s(5). Solve 0*m - 10 = -y*m for m. 5 Suppose -2*l + 5*y = -35, -3*l - 2*y = -0*l - 62. Solve -5*r + l = -0*r for r. 4 Let c be ((-14)/(-21))/(4/(-66)). Let j(n) be the second derivative of -n**3/6 - 9*n**2/2 - n. Let i be j(c). Solve -i*b = -3*b - 5 for b. -5 Suppose -2*s = -4*n - 6, 0*n + 3 = s - 4*n. Solve -s*z = z - 8 for z. 2 Suppose 5*k + 5 = -3*s, 4*s + 8 + 16 = 2*k. Let r = 16 + -6. Suppose t = -t + r. Solve 0 = t*o - 3*o + k for o. -1 Suppose -7 = -5*v - 2*r, v = -3*r + 2 + 2. Suppose 0 = -3*m - s + 26, m - 5*s = 21 - 7. Suppose 4*t - m + v = 0. Solve -t + 12 = 5*y for y. 2 Suppose 3*z - 5*l = 2, 0*z - 14 = -2*z - 3*l. Solve g - 3 = z*g for g. -1 Let z(m) = -3*m + 56. Let j = -7 + 13. Let g(h) = -h + 19. Let v(w) = j*z(w) - 17*g(w). Let n be v(8). Solve -1 - 9 = n*u for u. -2 Suppose 2*v = v + 6. Solve -3*h - 9 = -v*h for h. 3 Let m be (-2)/(1 + 1 + -1). Let b be m*(2 + 19/(-2)). Solve r + 4*r + b = 0 for r. -3 Let z be 0/((-1)/(-2 - -1)). Suppose 3*g - 6 = -u, g - 5*u - 3 = -1. Let r be (-4)/(-6) - (-12)/9. Solve g*i + z = -r for i. -1 Suppose -5*d + 5*t + 30 = 0, 0*d - 3*d = 3*t - 12. Suppose x = -3*x + 12. Solve d*h - x = -23 for h. -4 Let g(l) = -l**2 - 7*l - 1. Let c be g(-6). Suppose -1 = -3*y + c. Solve -y*h = -4*h + 2 for h. 1 Suppose 0 = 27*u - 28*u + 6. Solve b - 3*b - u = 0 for b. -3 Let v(j) = j**2 - j + 3. Let i(x) = -x + 4. Let l be i(2). Let w be 4/(-4)*0/l. Let t be v(w). Solve 8*q = t*q - 20 for q. -4 Suppose -s = -4*b - 3*s + 22, 0 = 2*b + 4*s - 26. Suppose 2*f - 3 = -5*q, 0*q + f = b*q + 7. Let g = q + 4. Solve -g*o + 7 = 19 for o. -4 Let d(v) = v**3 - 14*v**2 - 15*v + 3. Let p be d(15). Solve -10 - 5 = -p*s for s. 5 Let x(a) = a**2 + 3*a. Let o be x(-4). Let m(j) = 5*j - 18. Let l be m(4). Solve o*n + l = -14 for n. -4 Suppose -3*l - 10 = -5*k, -5*k + 0*l + 10 = 4*l. Solve 15 = -d - k*d for d. -5 Let n = 4 + -2. Let q be (1 + -2)/((-1)/n). Solve -2*y - q*y = -20 for y. 5 Let u be (0 + 1)*-1 - -6. Suppose -5*b = 15 - 0. Let y = u + b. Solve 0*m - y*m + 8 = 0 for m. 4 Let a(i) = -5*i + 7. Let s(h) = -3*h + 4. Let z(x) = -6*a(x) + 11*s(x). Let w be z(-6). Solve 0 = 5*j + w for j. -4 Let x be -2 + 4 - 2*1. Suppose 0*c - 3*c + 3 = 0. Let b(p) = 3*p**3 - p**2 - p + 1. Let t be b(c). Solve -6 = t*o - x for o. -3 Let u be (-1)/(-3)*(6 + 6). Solve -4*n - 24 = -u for n. -5 Suppose n = 2 + 1. Suppose 0 = -u - d - 2 + n, -2*u + 2*d = -2. Solve -5*x = -u - 4 for x. 1 Suppose 5*d - 19 = -4, 0 = -z + 4*d - 10. Solve 0 = -0*g + g - z for g. 2 Suppose q + 6*q - 3*q = 0. Solve q = -2*g - 8 for g. -4 Let t = -27 - -28. Let w = t - 1. Solve w = -h - 2*h - 15 for h. -5 Suppose 2*z - 8 = -0*z. Solve -z*y + y - 3 = 0 for y. -1 Suppose -4*x + 2*c + 140 = -0*x, -5*x - 4*c + 175 = 0. Suppose -4*j + 5*h - 40 = 0, -2*j - 5*h - x = -j. Let o = -9 - j. Solve -o*l + 5 = -l for l. 1 Suppose -7*k + 2*k + 55 = 0. Suppose -4*l + 2*l - 5*o = k, -16 = -5*l + 2*o. Suppose -l*j = -2*t - 8, -5*t + 0*j - 5*j = -20. Solve -3*x - x - 8 = t for x. -2 Let w(r) = r**3 - 2*r**2 - 4*r - 1. Let c be w(-1). Solve g = -c*g for g. 0 Let c be (1 + 0/(-2))/1. Suppose -9*i + 12*i - 51 = 0. Solve c - i = -4*h for h. 4 Let o be (-21)/(-14) + 37/2. Solve -g = 3*g - o for g. 5 Let j be 4/(-14) - 9/(-7). Suppose n = -j - 9. Let c be (-30)/4*16/n. Solve r + 3*r = c for r. 3 Suppose 0 = 4*n - 0*n + 664. Let v be 5/(0 + 2/n). Let a be v/(-45) + (-4)/18. Solve -a + 3 = 3*w for w. -2 Let l = 20 + -52. Let a be l/(-18) - 10/(-45). Solve -3*m + 25 = a*m for m. 5 Let j be 416/78 + (-4)/(-6). Solve -5*b = -2*b - j for b. 2 Suppose -3*x - 18 + 6 = 0. Let t = -1 - -5. Let m be 1*x*(-6)/t. Solve 4*u = -m + 2 for u. -1 Suppose 2*b + t + t - 8 = 0, -6 = -3*t. Let r be ((-7)/2)/(3/6). Let s(u) = -u**3 - 6*u**2 + 6*u - 7. Let m be s(r). Solve -2 = b*f - m for f. -1 Let s be -1 + (-9 + -2)/(-1). Let a(n) = -n**3 + 9*n**2 + 11*n - 10. Let f be a(s). Solve f*k = 5*k + 15 for k. -3 Suppose 5*r - 2
{ "pile_set_name": "DM Mathematics" }
- 12*t - 16 What is the v'th term of 3718, 3720, 3722, 3724, 3726? 2*v + 3716 What is the p'th term of 11, 15, 21, 29, 39, 51, 65? p**2 + p + 9 What is the q'th term of 32, 3, -44, -109, -192? -9*q**2 - 2*q + 43 What is the w'th term of 18, 62, 132, 228, 350, 498? 13*w**2 + 5*w What is the d'th term of -84, -172, -256, -336, -412, -484, -552? 2*d**2 - 94*d + 8 What is the t'th term of 621, 631, 643, 657, 673, 691, 711? t**2 + 7*t + 613 What is the t'th term of -12, -27, -42? -15*t + 3 What is the z'th term of -357, -733, -1115, -1497, -1873, -2237, -2583, -2905? z**3 - 9*z**2 - 356*z + 7 What is the r'th term of -189, -376, -563, -750? -187*r - 2 What is the l'th term of 18, 23, 30, 39, 50? l**2 + 2*l + 15 What is the g'th term of 358, 1434, 3228, 5740, 8970, 12918? 359*g**2 - g What is the z'th term of 22, 74, 158, 280, 446, 662? z**3 + 10*z**2 + 15*z - 4 What is the a'th term of -1242, -2481, -3720? -1239*a - 3 What is the b'th term of -352, -703, -1054? -351*b - 1 What is the o'th term of -5, -59, -149, -275, -437, -635? -18*o**2 + 13 What is the i'th term of -78, -76, -74, -72? 2*i - 80 What is the z'th term of 1100, 2202, 3304, 4406, 5508, 6610? 1102*z - 2 What is the p'th term of 236, 457, 656, 821, 940, 1001? -2*p**3 + p**2 + 232*p + 5 What is the i'th term of 301, 601, 901, 1201, 1501? 300*i + 1 What is the m'th term of -3, 8, 25, 48? 3*m**2 + 2*m - 8 What is the s'th term of -273, -559, -845, -1131, -1417, -1703? -286*s + 13 What is the h'th term of -1202, -2406, -3610? -1204*h + 2 What is the h'th term of 1352, 1350, 1348, 1346? -2*h + 1354 What is the s'th term of -39, -352, -1207, -2874, -5623? -45*s**3 - s**2 + 5*s + 2 What is the t'th term of 7562, 7558, 7554? -4*t + 7566 What is the t'th term of -13, 7, 39, 83, 139, 207? 6*t**2 + 2*t - 21 What is the a'th term of -45, -200, -471, -870, -1409, -2100? -2*a**3 - 46*a**2 - 3*a + 6 What is the x'th term of 111, 109, 107, 105, 103? -2*x + 113 What is the i'th term of 1404, 1405, 1406? i + 1403 What is the x'th term of -176, -181, -188, -197, -208, -221, -236? -x**2 - 2*x - 173 What is the m'th term of -119, -120, -107, -74, -15, 76, 205? m**3 + m**2 - 11*m - 110 What is the r'th term of 186, 372, 558, 744? 186*r What is the x'th term of -12, -18, -24, -30? -6*x - 6 What is the n'th term of -144, -617, -1412, -2535, -3992, -5789? -n**3 - 155*n**2 - n + 13 What is the m'th term of 27, 59, 103, 165, 251, 367, 519? m**3 + 25*m + 1 What is the d'th term of 56, 105, 146, 173, 180, 161? -d**3 + 2*d**2 + 50*d + 5 What is the g'th term of 128, 11, -106, -223, -340? -117*g + 245 What is the r'th term of 3, -18, -49, -96, -165, -262? -r**3 + r**2 - 17*r + 20 What is the u'th term of 1821, 1819, 1817? -2*u + 1823 What is the m'th term of 27, 60, 93, 126, 159? 33*m - 6 What is the b'th term of -1689, -1696, -1707, -1722, -1741? -2*b**2 - b - 1686 What is the l'th term of 639, 700, 753, 792, 811, 804, 765, 688? -l**3 + 2*l**2 + 62*l + 576 What is the x'th term of -24, -31, -38, -45, -52? -7*x - 17 What is the t'th term of 1779, 3559, 5339, 7119, 8899? 1780*t - 1 What is the i'th term of 6, -37, -114, -225, -370, -549? -17*i**2 + 8*i + 15 What is the i'th term of 27, 45, 63, 81? 18*i + 9 What is the z'th term of 25, 64, 103, 142, 181, 220? 39*z - 14 What is the k'th term of -398, -397, -396, -395, -394, -393? k - 399 What is the p'th term of -67, -80, -103, -142, -203, -292, -415, -578? -p**3 + p**2 - 9*p - 58 What is the u'th term of -176, -175, -164, -137, -88, -11, 100, 251? u**3 - u**2 - 3*u - 173 What is the h'th term of -10, -4, 12, 38, 74, 120, 176? 5*h**2 - 9*h - 6 What is the p'th term of -192, -206, -254, -354, -524, -782, -1146, -1634? -3*p**3 + p**2 + 4*p - 194 What is the m'th term of -50, -35, -16, 7, 34, 65, 100? 2*m**2 + 9*m - 61 What is the a'th term of -458, -925, -1392, -1859, -2326, -2793? -467*a + 9 What is the n'th term of -73, -160, -259, -370, -493? -6*n**2 - 69*n + 2 What is the o'th term of -8359, -8358, -8357, -8356? o - 8360 What is the p'th term of 6, 18, 32, 48, 66, 86, 108? p**2 + 9*p - 4 What is the q'th term of -3082, -6167, -9252? -3085*q + 3 What is the y'th term of 9, 33, 77, 141, 225, 329, 453? 10*y**2 - 6*y + 5 What is the m'th term of -6, 19, 54, 93, 130, 159, 174, 169? -m**3 + 11*m**2 - m - 15 What is the b'th term of -2145, -2151, -2171, -2211, -2277, -2375, -2511? -b**3 - b**2 + 4*b - 2147 What is the i'th term of 85, 121, 181, 265? 12*i**2 + 73 What is the g'th term of 181, 161, 141, 121, 101? -20*g + 201 What is the t'th term of -10, -19, -28, -37, -46, -55? -9*t - 1 What is the c'th term of -45, -15, 41, 135, 279, 485? 2*c**3 + c**2 + 13*c - 61 What is the g'th term of -278, -278, -270, -248, -206, -138, -38? g**3 - 2*g**2 - g - 276 What is the c'th term of -1164, -2330, -3496, -4662, -5828? -1166*c + 2 What is the w'th term of -7, -3, 3, 11, 21, 33, 47? w**2 + w - 9 What is the l'th term of -3, -47, -149, -333, -623, -1043, -1617? -4*l**3 - 5*l**2 - l + 7 What is the h'th term of 1072, 2134, 3196, 4258, 5320, 6382? 1062*h + 10 What is the a'th term of -15, -24, -33, -36, -27? a**3 - 6*a**2 + 2*a - 12 What is the b'th term of -84, -77, -84, -111, -164, -249, -372? -b**3 - b**2 + 17*b - 99 What is the z'th term of -6235, -6236, -6237, -6238, -6239, -6240? -z - 6234 What is the x'th term of 57, 117, 177, 237, 297, 357? 60*x - 3 What is the c'th term of 147, 149, 151, 153, 155? 2*c + 145 What is the h'th term of 53, 514, 1775, 4238, 8305, 14378, 22859, 34150? 67*h**3 - 2*h**2 - 2*h - 10 What is the s'th term of 44, 68, 78, 68, 32? -s**3 - s**2 + 34*s + 12 What is the x'th term of 68, 132, 194, 254? -x**2 + 67*x + 2 What is the m'th term of 625, 626, 627, 628? m + 624 What is the b'th term of 14, 24, 38, 56, 78? 2*b**2 + 4*b + 8 What is the d'th term of -37, -309, -771, -1429, -2289, -3357? -d**3 - 89*d**2 + 2*d + 51 What is the n'th term of -26, -51, -74, -95, -114, -131, -146? n**2 - 28*n + 1 What is the h'th term of -24, -55, -112, -207, -352, -559, -840? -2*h**3 - h**2 - 14*h - 7 What is the d'th term of 214, 210, 204, 196? -d**2 - d + 216 What is the p'th term of 93, 388, 885, 1590, 2509? p**3 + 95*p**2 + 3*p - 6 What is the w'th term of 43, 63, 117, 223, 399, 663, 1033, 1527? 3*w**3 - w**2 + 2*w + 39 What is the p'th term of 64, 57, 50, 49, 60, 89, 142, 225? p**3 - 6*p**2 + 4*p + 65 What is the b'th term of 28, 23, 14, 1, -16? -2*b**2 + b + 29 What is the s'th term of 19, 8, -7, -26, -49, -76? -2*s**2 - 5*s + 26 What is the x'th term of -80, -71, -56, -35, -8, 25, 64? 3*x**2 - 83 What is the b'th term of 13, 1, -25, -71, -143, -247, -389, -575? -b**3 - b**2 - 2*b + 17 What is the m'th term of 6, 4, -2, -12? -2*m**2 + 4*m + 4 What is the w'th term of 12, 16, 22, 30? w**2 + w + 10 What is the j'th term of 257, 262, 277, 308, 361, 442, 557? j**3 - j**2 + j + 256 What is the c'th term of 76, 166, 306, 490, 712, 966, 1246, 1546? -c**3 + 31*c**2 + 4*c + 42 What is the t'th term of 66, 68, 70? 2*t + 64 What is the k'th term of -42, -196, -452, -810, -1270? -51*k**2 - k + 10 What is the a'th term of 357, 715, 1073, 1431? 358*a - 1 What is the r'th term of 103, 108, 125, 160, 219? r**3 - 2*r + 104 What is the x'th term of -749, -1505, -2261? -756*x + 7 What is the q'th term of 82, 71, 70, 85, 122, 187, 286? q**3 - q**2 - 15*q + 97 What is the p'th term of 5, 35, 95, 191, 329, 515, 755, 1055? p**3 + 9*p**2 - 4*p - 1 What is the l'th term of 120, 114, 104, 90, 72, 50, 24? -2*l**2 + 122 What is the c'th term of 25, 54, 89, 130? 3*c**2 + 20*c + 2 What is the v'th term of 41, 237, 433, 629, 825, 1021? 196*v - 155 What is the l'th term of 12, 41, 102, 201, 344, 537, 786, 1097? l**3 + 10*l**2 - 8*l + 9 What is the k'th term of -1282, -1280, -1278, -1276, -1274, -1272? 2*k - 1284 What is the k'th term of 72, 238, 514, 900? 55*k**2 + k + 16 What is the i'th term of 7, 24, 67, 148, 279, 472? 2*i**3 + i**2 + 4 What is the d'th term of -24, -98, -220, -390, -608, -874? -24*d**2 - 2*d + 2 What is the n'th term of 15, 20, 33, 60, 107, 180? n**3 - 2*n**2 + 4*n + 12 What is the w'th term of -32, -84, -158, -248, -348? w**3 - 17*w**2 - 8*w - 8 What is the r'th term of -2314, -4625, -6936, -9247? -2311*r - 3 What is the h'th term of -909, -914, -921, -930? -h**2 - 2*h - 906
{ "pile_set_name": "DM Mathematics" }
sqrt(576))*-5). sqrt(3)/360 Simplify (2*-2*sqrt(200)*5)/(3*sqrt(250) - sqrt(30)/(sqrt(3)*2)). -80*sqrt(5)/29 Simplify ((5 + -2*sqrt(1216) + 5)*-1)**2 - ((sqrt(190)*1*5 + sqrt(190) - sqrt(190))/sqrt(10) - (-1 + (sqrt(19) - sqrt(1900)*-1)))**2. -308*sqrt(19) + 4279 Simplify (-3*(-2 + 0 + sqrt(1300) + -5 + -5)*6)**2*6. -466560*sqrt(13) + 2807136 Simplify 4 + ((4 + sqrt(605) + -1*sqrt(605))*1 - ((-4*(0 + sqrt(605)))**2 + -1*sqrt(605) + -1 + sqrt(605))) + -4. -9675 Simplify -5*(6*((sqrt(171) + 1*sqrt(171))*-3 + 5 - 3*(0 + sqrt(171) + 0 - sqrt(171))))**2. -1112580 + 32400*sqrt(19) Simplify ((sqrt(600) - sqrt(600)*-2*-2) + sqrt(600)*-2*-2)/(2*((sqrt(192)*-2)/sqrt(8))/sqrt(12)). -5*sqrt(3)/2 Simplify 5 + ((4 + -2*5*(sqrt(931)*1 + sqrt(931) + 2))*5 + -1)**2. 113400*sqrt(19) + 9316566 Simplify 3 + (((sqrt(294) + sqrt(294) + 1*sqrt(294))/sqrt(7))/sqrt(6) + 2)**2 + (sqrt(42)/(sqrt(42)/sqrt(7)))**2 + sqrt(343)*4 + sqrt(343). 77 + 47*sqrt(7) Simplify (5 + 1 + -1*((sqrt(432) + 3)*5 - sqrt(432))*-1 + 3)**2. 2304*sqrt(3) + 7488 Simplify sqrt(34)/(sqrt(200) + sqrt(200)*2)*-4 + (-4*(-1 + sqrt(2448)) - (3 + -2*sqrt(2448)))**2. -722*sqrt(17)/15 + 9793 Simplify 2 + ((sqrt(180) - (sqrt(180) + -4 + sqrt(180) + 1))**2 - sqrt(180)) + -6*sqrt(20)/(sqrt(4) - (sqrt(4) + (-2*sqrt(36))/sqrt(9))). -45*sqrt(5) + 191 Simplify -4*(-3*(-6*(sqrt(3) + 3 + sqrt(3) + 0) - (sqrt(243)*2 + 0 + sqrt(243)))*-5)**2. -4398300 - 1263600*sqrt(3) Simplify (sqrt(1404)*2)/(6*sqrt(3)*-1 + sqrt(3) + sqrt(3)) + 3 + (sqrt(65)/(sqrt(15)/sqrt(3)) + (sqrt(13)*1 + 5)**2 - (sqrt(156)/sqrt(108) - sqrt(52)*1)**2). 44/9 + 8*sqrt(13) Simplify 4 + 2 + (sqrt(1584) + 1*sqrt(1584) + -4)**2 - (-5 + ((sqrt(1584) + -3*sqrt(1584)*1 + sqrt(1584))*-6)**2). -50661 - 192*sqrt(11) Simplify (3*sqrt(4455) - (sqrt(55)*2 + sqrt(55))*-6)/((sqrt(40)/sqrt(2)*-5)/(sqrt(324) - 1*sqrt(324) - sqrt(324))). 81*sqrt(11) Simplify -3 + -3*((1 + sqrt(272) + -4)*4 + -5)*2. -96*sqrt(17) + 99 Simplify ((((sqrt(180) - 2*sqrt(180))*-4)/(sqrt(144)/(sqrt(12) + (1*sqrt(12) - sqrt(12)))))/((4*sqrt(45)*2)/(sqrt(9) + (sqrt(1089) - sqrt(1089)*-2))))**2. 867 Simplify ((sqrt(4032) + -4*sqrt(4032) + sqrt(4032) - sqrt(4032)) + (sqrt(28)*-6 + sqrt(28))*-4)/(6*(sqrt(324) + sqrt(324)*-4)*-4). -2*sqrt(7)/81 Simplify ((sqrt(216)/(-1*sqrt(8)))**2*6 - (1*(sqrt(300) + -1) + 1)) + -4. -10*sqrt(3) + 158 Simplify -3*((sqrt(70) - 1*sqrt(70))/sqrt(10))**2*3 - (sqrt(175) + 2 + ((-2*sqrt(175) - sqrt(175)) + sqrt(175))**2). -702 - 5*sqrt(7) Simplify 2 + (2*sqrt(931) + 0 - (sqrt(931) + 0 + -5) - (-2 + ((-1 + sqrt(931))*5 - sqrt(931))))**2 + -2. -504*sqrt(19) + 8523 Simplify (((sqrt(18) + -6*-1*sqrt(18))/sqrt(6)*5 + -3)**2 + 5)*-6. -22134 + 1260*sqrt(3) Simplify (((sqrt(240)*1)/sqrt(5) - sqrt(48))/(1*sqrt(288)))/((sqrt(96)/(sqrt(6)/sqrt(2)))/((sqrt(48)*2 - sqrt(48))/sqrt(12))). 0 Simplify (-3 + 4 + -6*(sqrt(112) + (sqrt(112) + (sqrt(112) - (5 + 0 + sqrt(112))))**2)*6)*-1. -1296*sqrt(7) + 4931 Simplify -4*((sqrt(448) - (sqrt(448) - (-2 + -1*sqrt(448)))**2 - (sqrt(448) - (2 + sqrt(448) + 1)**2)) + (1 + sqrt(448) + -5)**2 + (-1 + sqrt(448)*-1)**2). 256*sqrt(7) + 1704 Simplify -3*(-6*(sqrt(117)*2 + -1 + (sqrt(117) + -1)*4))**2*-6. -116640*sqrt(13) + 2745576 Simplify (1*5*sqrt(114)*-2*6)/((sqrt(96)/sqrt(36) - sqrt(24)) + (sqrt(24) - -6*(sqrt(24) - sqrt(96)/sqrt(4)))). -90*sqrt(19) Simplify 2 + -3 + (sqrt(38) + (sqrt(5472) - sqrt(5472)*2) + (2*sqrt(342))/sqrt(9))/((sqrt(2)*1 + sqrt(2))*6 + sqrt(8)*-1) + 0. -9*sqrt(19)/10 - 1 Simplify (((sqrt(294) + (sqrt(294) - (sqrt(294) + sqrt(294) + -6*-1*sqrt(294))))/(1*sqrt(252)))/(6*sqrt(480)/sqrt(5)*3))**2. 7/5184 Simplify ((sqrt(171)*-2*4)/(2*sqrt(729)))**2 - (2*sqrt(209)*-2)/(2*sqrt(891) - sqrt(11)). 4*sqrt(19)/17 + 304/81 Simplify 6*(0 + -1 + ((sqrt(104) - 2*sqrt(104)*-3)/(((sqrt(1152) - sqrt(1152)*-1) + sqrt(1152) + sqrt(1152) - sqrt(1152)) + sqrt(8)) + 1)**2). 3822/1369 + 84*sqrt(13)/37 Simplify -3*(4*(sqrt(675)*3*-2 + sqrt(675))/(4*(sqrt(90) - (sqrt(90)*-3 - sqrt(90)))/sqrt(10)))**2. -225 Simplify (sqrt(19) + 0 + sqrt(931) + sqrt(228)/(sqrt(12) + (sqrt(12) - sqrt(36)/sqrt(3))))**2 + -1 + (sqrt(19) + -4*(-2 + sqrt(19)) - (sqrt(2736) + 4)**2). -1206 - 99*sqrt(19) Simplify (3*(sqrt(153) + sqrt(153)*-3) - sqrt(153) - sqrt(153) - -2*(sqrt(153) + sqrt(153)*-3 + sqrt(153)))/(5*sqrt(9)*5 - -4*sqrt(90)/sqrt(10)). -10*sqrt(17)/29 Simplify (((-1*sqrt(72))/sqrt(6) - sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(24)/sqrt(98))))/((2*sqrt(1008))/(2*sqrt(567) + sqrt(567))))**2. 54675/784 Simplify (2*(sqrt(102) + sqrt(102)*2*-4 + sqrt(102))*-6)/((sqrt(6) + sqrt(150)*4)*-5*-1). 24*sqrt(17)/35 Simplify (-2*(sqrt(132) + (sqrt(132) - sqrt(132)*5) - sqrt(132))*-1)/(sqrt(12) - sqrt(768)*-1 - sqrt(120)/(-1*sqrt(10))). -4*sqrt(11)/5 Simplify (3*(2 + -3 + sqrt(475)) - (2 + (0 + sqrt(19))*-1 + -5))*-4. -64*sqrt(19) Simplify (-4*((sqrt(80) - sqrt(80)*-5 - sqrt(80)) + sqrt(80))*-3)/((sqrt(44)*-1*-1)/((2*sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(11))). 3312*sqrt(5) Simplify 4 + (sqrt(33) - (1*sqrt(3993) - sqrt(3993)))/sqrt(3) - (1 + 3*sqrt(275)*-4). 3 + 61*sqrt(11) Simplify ((sqrt(102) - -2*sqrt(102))/sqrt(6) + -1)**2 + 3 + 5*((sqrt(17) - (sqrt(34)/sqrt(2) - sqrt(17))) + 1 - sqrt(612)*-1). 29*sqrt(17) + 162 Simplify (-4*(0 + (5 + sqrt(19) + -1)*2 - (((sqrt(57) - -1*sqrt(57))*5)/sqrt(3) + -5)))**2. -3328*sqrt(19) + 22160 Simplify -4*((sqrt(272)*2*-4 - ((sqrt(272) - -4*sqrt(272)*-2) + sqrt(272))) + sqrt(272) + -1 + -2 + 1 + sqrt(272) + 1)**2*-2 + 5. 13 Simplify -5 + (-2*(-1*sqrt(84)*4 - sqrt(84))/(-2*sqrt(1452) - sqrt(1452) - sqrt(1452))*6)**2. 970/121 Simplify sqrt(27)/(sqrt(54)/sqrt(6)) - 5*sqrt(27)/sqrt(9) - (-5 + (4*(sqrt(3) - (sqrt(3) - (sqrt(126)/sqrt(7))/sqrt(6))))**2). -43 - 4*sqrt(3) Simplify 2*5*((sqrt(153) - (sqrt(153) + 3))*3 + sqrt(153) + sqrt(153) - (sqrt(153) + 0 + sqrt(153) + 2))**2*6 + -4. 7256 Simplify ((sqrt(3744) - 5*sqrt(3744) - sqrt(3744)) + -4*sqrt(650))/((sqrt(16) + sqrt(64) + sqrt(64)*-4 + sqrt(16))/sqrt(8)*4). 5*sqrt(13) Simplify (3 + (-6*sqrt(504)*3)/(sqrt(128)*-1 + (2*sqrt(288) - sqrt(288)) + sqrt(288)) + -2)**2. -27*sqrt(7)/2 + 5119/16 Simplify (6*(sqrt(99) - sqrt(99)*3)*4*-1)/((sqrt(99) - (sqrt(99)*1*1 - sqrt(99)) - sqrt(99) - sqrt(99))/sqrt(704)). -384*sqrt(11) Simplify (sqrt(1728)*-2 + sqrt(1728) + (sqrt(432) + -2 - sqrt(432)))**2 - ((-3 + -1 + sqrt(432))**2 + 1). 192*sqrt(3) + 1283 Simplify 4 + -4*((5*(sqrt(121) + sqrt(121)*1))/(sqrt(22)/sqrt(2)*-3) + 1). 40*sqrt(11)/3 Simplify 2 + (((sqrt(120)*1*6)/sqrt(10))/(2*sqrt(150) - (sqrt(6) + 6*sqrt(18)/sqrt(3))))**2. 10 Simplify ((((sqrt(1539) + sqrt(1539) + 2 + -1)*1 + sqrt(1539)*1 + 0 + -4)*-5 + 1)*3)**2. -38880*sqrt(19) + 3118779 Simplify (-1 + sqrt(108) + -4 + sqrt(108) + 4 + sqrt(108) + -4 - ((sqrt(108) + -1 + 5)*2 + 1))**2. -168*sqrt(3) + 304 Simplify (-3*sqrt(228)*-3 + sqrt(228) - ((sqrt(228) - (-1*(3*sqrt(228) - sqrt(228)) - sqrt(228))) + sqrt(228)))/(-2*-1*(sqrt(180)/sqrt(3))/sqrt(5)). 5*sqrt(19)/2 Simplify (-2 + (sqrt(325) - (sqrt(325) + 1 + -5)) + -5 + sqrt(325) + (sqrt(325) + -1)*5 + (2 + sqrt(325) + 4 - sqrt(325)))**2. -120*sqrt(13) + 11704 Simplify (2*sqrt(4900)*-6*-2*6)/(sqrt(14)/(1*2*sqrt(2)) + (sqrt(2100) - sqrt(2100)*-2 - sqrt(2100))/sqrt(3)). 2880*sqrt(7)/41 Simplify (sqrt(11) + -1*sqrt(11) + -3 + sqrt(77)/sqrt(112))*2 - (sqrt(88)*-1*-2)/(4*sqrt(8)*2). -6 + sqrt(11)/4 Simplify (4*-1*sqrt(156))/(4*(sqrt(12)*-2 - sqrt(12))) - 2*(2*sqrt(117)*-6)/(sqrt(576)*1). 10*sqrt(13)/3 Simplify (-5 + sqrt(288)*2*-5 - ((sqrt(288) - (sqrt(288) + 0)) + -4 + 1))**2. 480*sqrt(2) + 28804 Simplify -4*(5 + (5 + (-3 + sqrt(704) + -1 - (sqrt(704) + sqrt(704)*-3 + -4 - sqrt(704) - sqrt(704))) + 5)**2). -70820 - 3200*sqrt(11) Simplify 2*(2 + (3*(-2*sqrt(605) + 5)*-5*-1*1)**2). -99000*sqrt(5) + 1100254 Simplify 4 + (-1*6*(4*1*sqrt(343) + -4 + 1*sqrt(343))*6)**2*5. -1814400*sqrt(7) + 55669684 Simplify -5 + ((sqrt(17) + (0 + sqrt(17))**2)*-4 - ((sqrt(204) - 1*sqrt(204)) + sqrt(204))/sqrt(12)) + -1 + 1*(6*-1*sqrt(119))/sqrt(7) + -1. -75 - 11*sqrt(17) Simplify (4*((4 + sqrt(180) + -4 - sqrt(180)) + sqrt(180) - sqrt(180)) - (-4 + 1*5*sqrt(5) + 3))**2. -10*sqrt(5) + 126 Simplify -1*(-5 + sqrt(2448)*1*5 + sqrt(2448) + 2 + sqrt(2448)*2 + 0) + 2. -96*sqrt(17) + 5 Simplify 1 + (sqrt(136)/(sqr
{ "pile_set_name": "DM Mathematics" }
7? -w + 914013 What is the m'th term of 1554, 1508, 1484, 1482, 1502, 1544, 1608? 11*m**2 - 79*m + 1622 What is the j'th term of -324, -428, -554, -714, -920, -1184, -1518? -2*j**3 + j**2 - 93*j - 230 What is the v'th term of 401, -39, -477, -913, -1347, -1779? v**2 - 443*v + 843 What is the t'th term of 25494, 25487, 25480, 25473, 25466, 25459? -7*t + 25501 What is the g'th term of -220, -1009, -2326, -4177, -6568, -9505? -g**3 - 258*g**2 - 8*g + 47 What is the f'th term of 195608, 391207, 586804, 782399? -f**2 + 195602*f + 7 What is the u'th term of -4801, -9599, -14395, -19189, -23981, -28771? u**2 - 4801*u - 1 What is the b'th term of 11109, 11312, 11515? 203*b + 10906 What is the t'th term of 17394, 17386, 17378, 17370? -8*t + 17402 What is the d'th term of -5484, -11317, -17150, -22983, -28816? -5833*d + 349 What is the p'th term of 11179, 22385, 33589, 44791, 55991, 67189, 78385? -p**2 + 11209*p - 29 What is the b'th term of -324661, -649325, -973989, -1298653? -324664*b + 3 What is the j'th term of 5605, 5590, 5549, 5470, 5341, 5150, 4885? -2*j**3 - j**2 + 2*j + 5606 What is the b'th term of 27165, 54332, 81499, 108666? 27167*b - 2 What is the a'th term of 16821, 16830, 16839, 16848? 9*a + 16812 What is the l'th term of -4255, -8494, -12731, -16966, -21199? l**2 - 4242*l - 14 What is the u'th term of -2375, -2389, -2405, -2423, -2443, -2465? -u**2 - 11*u - 2363 What is the t'th term of 8, 104, 212, 332, 464, 608, 764? 6*t**2 + 78*t - 76 What is the x'th term of 8223, 8184, 8119, 8028, 7911? -13*x**2 + 8236 What is the i'th term of 16, 9, 32, 97, 216, 401, 664? 2*i**3 + 3*i**2 - 30*i + 41 What is the n'th term of -9210, -9218, -9226, -9234, -9242, -9250? -8*n - 9202 What is the t'th term of -56, -143, -304, -551, -896, -1351, -1928, -2639? -2*t**3 - 25*t**2 + 2*t - 31 What is the v'th term of -236, -759, -1572, -2675, -4068, -5751? -145*v**2 - 88*v - 3 What is the w'th term of 122, -232, -814, -1618, -2638? w**3 - 120*w**2 - w + 242 What is the h'th term of 562, 1118, 1658, 2176, 2666, 3122, 3538, 3908? -h**3 - 2*h**2 + 569*h - 4 What is the d'th term of 0, -91, -382, -987, -2020? -19*d**3 + 14*d**2 + 5 What is the n'th term of 165, 457, 761, 1077, 1405, 1745? 6*n**2 + 274*n - 115 What is the p'th term of -363, -1407, -3139, -5559, -8667, -12463? -344*p**2 - 12*p - 7 What is the b'th term of -1035, -451, 513, 1851, 3557, 5625, 8049? -b**3 + 196*b**2 + 3*b - 1233 What is the h'th term of 55, 89, 115, 127, 119, 85, 19? -h**3 + 2*h**2 + 35*h + 19 What is the x'th term of 24409, 48820, 73231, 97642? 24411*x - 2 What is the n'th term of -154950, -154947, -154942, -154935, -154926, -154915? n**2 - 154951 What is the z'th term of -3614187, -3614189, -3614191, -3614193? -2*z - 3614185 What is the q'th term of -251, -423, -513, -521? 41*q**2 - 295*q + 3 What is the r'th term of -577, -1142, -1695, -2236, -2765, -3282, -3787? 6*r**2 - 583*r What is the z'th term of -1363, -2946, -4533, -6124, -7719? -2*z**2 - 1577*z + 216 What is the b'th term of -1414, -1433, -1468, -1519? -8*b**2 + 5*b - 1411 What is the g'th term of 40, 15, -12, -41, -72, -105? -g**2 - 22*g + 63 What is the q'th term of 370, 1436, 3212, 5698, 8894? 355*q**2 + q + 14 What is the p'th term of -121, -648, -1163, -1660, -2133, -2576, -2983, -3348? p**3 - 534*p + 412 What is the w'th term of -4, -6, -32, -100, -228, -434, -736? -3*w**3 + 6*w**2 + w - 8 What is the x'th term of 15013, 60112, 135281, 240514, 375805? -x**3 + 15041*x**2 - 17*x - 10 What is the u'th term of 233, 784, 1705, 2996, 4657, 6688? 185*u**2 - 4*u + 52 What is the y'th term of -25528, -25520, -25500, -25462, -25400, -25308, -25180? y**3 + y - 25530 What is the o'th term of -184, -110, 98, 506, 1180, 2186, 3590? 11*o**3 + o**2 - 6*o - 190 What is the a'th term of -1127, -4247, -9449, -16733, -26099, -37547? -1041*a**2 + 3*a - 89 What is the c'th term of 2233, 8958, 20173, 35884, 56097? c**3 + 2239*c**2 + c - 8 What is the i'th term of 1509, 5991, 13475, 23967, 37473? i**3 + 1495*i**2 - 10*i + 23 What is the t'th term of -580, -657, -900, -1393, -2220, -3465? -14*t**3 + t**2 + 18*t - 585 What is the z'th term of 39511, 39527, 39543? 16*z + 39495 What is the x'th term of -366, -397, -450, -531, -646, -801? -x**3 - 5*x**2 - 9*x - 351 What is the z'th term of -61, 11, 95, 191, 299, 419, 551? 6*z**2 + 54*z - 121 What is the f'th term of -637, -1486, -2335? -849*f + 212 What is the a'th term of -8221, -8210, -8197, -8182, -8165, -8146? a**2 + 8*a - 8230 What is the k'th term of -5220, -10369, -15516, -20661, -25804, -30945, -36084? k**2 - 5152*k - 69 What is the q'th term of -79, -200, -319, -436, -551, -664? q**2 - 124*q + 44 What is the o'th term of -27749, -55499, -83249, -110999? -27750*o + 1 What is the d'th term of 1005, 4031, 9087, 16185, 25337, 36555, 49851? 2*d**3 + 1003*d**2 + 3*d - 3 What is the v'th term of 115151, 230344, 345535, 460724, 575911? -v**2 + 115196*v - 44 What is the t'th term of 107, 454, 1037, 1856, 2911, 4202? 118*t**2 - 7*t - 4 What is the f'th term of -2375, -2410, -2431, -2432, -2407, -2350, -2255? f**3 + f**2 - 45*f - 2332 What is the a'th term of -16307, -65215, -146721, -260819, -407503? a**3 - 16305*a**2 - 3 What is the s'th term of -3861, -4039, -4225, -4419, -4621, -4831, -5049? -4*s**2 - 166*s - 3691 What is the a'th term of -1088, -1336, -1584? -248*a - 840 What is the q'th term of -33799, -135183, -304157, -540721, -844875? -33795*q**2 + q - 5 What is the i'th term of -165, -13, 93, 129, 71, -105, -423? -4*i**3 + i**2 + 177*i - 339 What is the u'th term of -367, -772, -1173, -1570, -1963, -2352, -2737? 2*u**2 - 411*u + 42 What is the s'th term of -3094, -6202, -9310, -12418, -15526? -3108*s + 14 What is the a'th term of -38502, -38505, -38508? -3*a - 38499 What is the p'th term of -4063, -4074, -4085? -11*p - 4052 What is the u'th term of -1381, -1421, -1459, -1495? u**2 - 43*u - 1339 What is the q'th term of 16392, 16395, 16396, 16395, 16392, 16387, 16380? -q**2 + 6*q + 16387 What is the l'th term of -266, -466, -620, -728, -790, -806, -776? 23*l**2 - 269*l - 20 What is the y'th term of -90, -261, -546, -945, -1458? -57*y**2 - 33 What is the b'th term of 5329, 5229, 5129, 5029, 4929, 4829? -100*b + 5429 What is the f'th term of 248, 396, 544, 692, 840? 148*f + 100 What is the i'th term of 3424, 6825, 10224, 13621, 17016? -i**2 + 3404*i + 21 What is the w'th term of 1114, 2342, 3570, 4798, 6026, 7254? 1228*w - 114 What is the l'th term of -138, -411, -816, -1359, -2046, -2883, -3876, -5031? -l**3 - 60*l**2 - 86*l + 9 What is the g'th term of 1662, 1636, 1584, 1494, 1354, 1152, 876, 514? -2*g**3 - g**2 - 9*g + 1674 What is the z'th term of -1172, -1171, -1170, -1169, -1168, -1167? z - 1173 What is the d'th term of -5092967, -5092968, -5092969, -5092970? -d - 5092966 What is the d'th term of 356, -477, -1312, -2149, -2988, -3829, -4672? -d**2 - 830*d + 1187 What is the f'th term of 23136, 23137, 23138, 23139, 23140? f + 23135 What is the z'th term of -54269, -108533, -162797, -217061? -54264*z - 5 What is the g'th term of -22006, -44023, -66066, -88147, -110278, -132471? -2*g**3 - g**2 - 22000*g - 3 What is the t'th term of 1627561, 1627556, 1627549, 1627540, 1627529, 1627516? -t**2 - 2*t + 1627564 What is the l'th term of -17520, -35058, -52612, -70188, -87792, -105430, -123108? -l**3 - 2*l**2 - 17525*l + 8 What is the i'th term of 494, 516, 640, 914, 1386, 2104? 8*i**3 + 3*i**2 - 43*i + 526 What is the x'th term of 2973, 5943, 8913, 11883, 14853? 2970*x + 3 What is the i'th term of -1396, -11420, -38636, -91642, -179036, -309416? -1433*i**3 + 2*i**2 + i + 34 What is the f'th term of -665, -1331, -1997, -2663? -666*f + 1 What is the z'th term of -2011, -3995, -5979, -7963? -1984*z - 27 What is the b'th term of 126, 1092, 2706, 4980, 7926, 11556? 2*b**3 + 312*b**2 + 16*b - 204 What is the a'th term of 112, 245, 388, 541, 704, 877, 1060? 5*a**2 + 118*a - 11 What is the r'th term of 1797735, 1797736, 1797737, 1797738? r + 1797734 What is the n'th term of -5667, -5697, -5729, -5763, -5799? -n**2 - 27*n - 5639 What is the v'th term of 31, 11, -17, -59, -121, -209, -329? -v**3 + 2*v**2 - 19*v + 49 What is the f'th term of 5124, 20545, 46262, 82275, 128584? 5148*f**2 - 23*f - 1 What
{ "pile_set_name": "DM Mathematics" }
-1 Express 51 - 25 + 24*f - 23 as r*f + w and give r. 24 Rearrange (2 - 5 + 4)*(5*a - 90*a - 16*a) to the form d*a + l and give d. -101 Express (4*u - 2 + 2)*((-2 + 2 - 1)*(5 - u - 5) + 0*u + 0*u + 2*u) in the form t*u**2 + s + d*u and give t. 12 Express (-3*q + 2*q - 2*q)*(47 + 12*q**2 - 10*q**2 - 2*q + 3*q) as w*q**3 + a + l*q + v*q**2 and give v. -3 Express 5*y**2 - 3*y**2 - 4*y**2 + y - y - y**2 + (-7 + 7 - 1)*(-2 + 2 + 2*y**2) as w + v*y + o*y**2 and give o. -5 Rearrange -3*u + u + 2*u**4 + 10*u**2 + 2*u**4 - 9*u**2 + 1 to h + r*u**4 + d*u**3 + p*u + q*u**2 and give h. 1 Express 3 + 9*b - 9*b - 5*b**3 - 2 in the form r + v*b + o*b**3 + i*b**2 and give o. -5 Rearrange (19*r + 336 - 336)*(-3 - 2 + 1) to the form w + n*r and give n. -76 Rearrange a**3 - a**4 - 2 + 2 - a + 3*a - 2 to the form d*a**3 + j*a + r*a**2 + w + s*a**4 and give w. -2 Express 4*x**2 - 15*x**2 - 12*x**2 + 5*x**2 in the form p*x**2 + r + d*x and give p. -18 Express -r**3 - 8*r**2 - 3*r + 2*r**2 + r + r**4 in the form v + b*r**4 + f*r**3 + j*r**2 + c*r and give c. -2 Rearrange -2 - 4*d - 7*d**2 + 3*d + d**2 + 4*d**2 to the form f*d + a + r*d**2 and give r. -2 Rearrange 5*f - f**2 - 3*f - 4*f - 7*f to the form p*f**2 + t + a*f and give a. -9 Express (5 + 0 - 4)*(4*b**3 - 5*b**3 + 2*b**3)*(-5 - 4 + 7 - 2*b) in the form x*b**3 + r + l*b**4 + n*b + o*b**2 and give x. -2 Express (-p**4 - 2*p**4 - p + 5*p**4)*(39 - 19 - 18) as i + q*p**4 + k*p + o*p**3 + h*p**2 and give o. 0 Express 3*g + 3*g**4 + g - 2 + g as b*g + u*g**3 + q*g**2 + h*g**4 + l and give h. 3 Express -2*h + 0*h**2 - 4*h**3 + 54 + 0*h**2 - 55 in the form d*h + g + a*h**2 + o*h**3 and give o. -4 Rearrange (-1 + 1 - 3*c)*(2*c**2 + 3*c - 3*c) - 4*c**3 + c**3 + 0*c**3 - 2*c + 2*c + 3*c**3 to k*c**2 + f*c**3 + w + p*c and give f. -6 Express (0 + 2 - 1)*(-10 - 9*m + 10) + 2*m - 3*m + 2*m as l + z*m and give z. -8 Rearrange (-9 + 13*j + 9)*(-3 + 4 - 4)*(5 + 4 + 3) to q + v*j and give v. -468 Express -4*b + 12*b + 7*b - b as t + d*b and give d. 14 Express (-71 - 7*k**2 + 71 + (k - k + k)*(0*k - 2*k + 3*k))*(-k**2 + 2*k**2 + 0*k**2) as i + v*k**2 + n*k + r*k**3 + j*k**4 and give i. 0 Express 4*v**3 - 10*v + 4*v + 3 + 2*v + 5*v in the form u*v**2 + f*v + t*v**3 + q and give f. 1 Express -8 + 3 - 3*m**2 + m**3 + 3*m**2 + 3*m as h*m**3 + z*m**2 + b + v*m and give v. 3 Rearrange -3*p**3 - p + 5*p**3 - p**3 + 2*p**3 to the form y + o*p**2 + f*p**3 + g*p and give f. 3 Rearrange (3 - 3 + 3*j)*(1 - 1 - 1 + (1 - 2 + 0)*(3 - 4 + 4)) to r + i*j and give i. -12 Express (-33*d + 2*d - 12*d)*(-6*d + 0*d + 5*d) in the form w*d + g + f*d**2 and give f. 43 Express -13*h**4 + 12*h**4 - 3*h + h - h**2 + h**3 + 0*h + 1 in the form q + o*h**2 + t*h**4 + i*h + p*h**3 and give i. -2 Rearrange 2*b + 21 - 4*b - 2*b**3 - 19 + 0*b**3 to the form f*b + l*b**3 + p + o*b**2 and give p. 2 Express -14 + c**2 + 6 + 13*c**3 + 5*c**3 + 10 in the form a*c + x + v*c**3 + r*c**2 and give x. 2 Rearrange -89 + 2*b - 7*b + 92 + 0*b to k*b + x and give x. 3 Rearrange -32*a + 123 - 123 to c + p*a and give p. -32 Express 121*f**3 + 1239*f**2 - 1239*f**2 + (3*f**2 - 4*f**2 + 2*f**2)*(-6*f + 2*f + 5*f) as v*f**3 + b*f + z*f**2 + l and give v. 122 Rearrange (11*a + 3*a - 61*a - a**2)*(4*a + 7*a - 4*a) to the form n*a + f*a**2 + s*a**3 + d and give f. -329 Express -6 + 14*d**2 + 2*d**4 - 35*d**2 + 24*d**2 + d**3 in the form g*d**3 + l*d**4 + p + r*d**2 + m*d and give l. 2 Express (1 - 3 + 4)*(0 - p + 0) + 7*p + 4*p - 4*p + (-1 + 1 + 2*p)*(1 + 0 - 2) + 4*p + 0*p - 3*p in the form j + n*p and give n. 4 Express (33 - 60 - 48)*(-4*s**3 + 1 + 2*s**3 + 1) as c*s**2 + f*s**3 + u + h*s and give u. -150 Express 281*p + p**2 - 271*p - p**3 + 2*p**2 in the form i*p**2 + m*p**3 + y*p + h and give h. 0 Rearrange 1404 - 1404 + 195*h to d + a*h and give a. 195 Express (3*u**3 + 2*u**3 - 4*u**3)*(7*u - u + 16*u) in the form y*u**2 + l + g*u + j*u**3 + x*u**4 and give x. 22 Rearrange j**4 + 21*j**4 + 28*j**4 + (0*j**2 + 0*j**2 - j**2)*(-3*j**2 + 2*j**2 - j**2) to n*j**4 + v*j**3 + k*j + d + g*j**2 and give n. 52 Rearrange -11*c**3 - 12*c**3 + 0 + 5 - 7 to i*c + f*c**2 + g*c**3 + m and give i. 0 Rearrange -3*u - 2*u + 3*u + (4 - 2 + 0)*(4*u - 2*u - u) + u - 2*u + 0*u + 14*u - 5*u + 5*u + (-1 - u + 1)*(3 + 0 - 5) to g*u + i and give g. 15 Rearrange -31*i**2 + 7*i - 16*i + 11*i to the form w + t*i**2 + n*i and give t. -31 Express -4 - 14*q - 24*q + 4 as m*q + c and give m. -38 Rearrange 9*n - n**2 - 9*n + 13 to o*n**2 + r + c*n and give c. 0 Express 4*c + 0*c + 5*c in the form u*c + w and give u. 9 Rearrange 75*f**4 - 84*f + 84*f - 5*f**4 + 0*f**4 + 3*f**4 + (-1 + 1 - f)*(-2 + 2 + f**3) to h*f + p*f**4 + l + d*f**3 + x*f**2 and give p. 72 Rearrange (-5 + 5 + 15)*(-4*a + 4*a - a**4) + (-a**4 + 0*a**4 - a**4)*(3 + 3 - 4) to the form m*a**3 + w*a**4 + n*a**2 + p*a + z and give w. -19 Rearrange -50 + 24 + 26 + 21*o to l + k*o and give k. 21 Rearrange (70 + 13 - 8)*(-1 - z + 1 + 0*z + 0*z + 2*z + (4 - 2*z - 4)*(-4 + 5 + 0) - z - z + z) to j + f*z and give f. -150 Express -38 + 38 - 31*r as t*r + q and give q. 0 Express (-1 + 3 - 4)*(o**2 - 4*o + 4*o) + 5*o**2 + 103*o - 103*o in the form h*o + w*o**2 + m and give w. 3 Rearrange (-7*s**2 + 2*s**2 + s**2)*(1 + 0 - 2) + (-3*s**2 + 0*s + 0*s)*(0 + 3 - 1) to the form i*s + q + m*s**2 and give m. -2 Rearrange 69*f**3 - 37*f - 3 - 11*f - 67*f**3 + (-3*f**2 - 3*f**2 + 4*f**2)*(3 - 3 - f) to v*f**3 + c + x*f**2 + j*f and give j. -48 Express -5*w**3 + 1 + 6*w**2 - 1 - 7*w**2 + w**4 - w as t*w**3 + s*w**2 + r + d*w**4 + n*w and give d. 1 Rearrange -9*u + 12*u - 11*u + (4*u - 5 + 5)*(5 - 1 - 3) to g + m*u and give m. -4 Rearrange -14*n**4 - n + 13*n**4 + 7 - 2 to a + f*n + s*n**3 + o*n**4 + q*n**2 and give a. 5 Rearrange (-f + 3*f - f)*(-f + 0*f + 3*f) to i*f + d*f**2 + t and give d. 2 Rearrange -4 + 4 - 23*r**2 to the form f*r**2 + l + o*r and give l. 0 Express -4 - 4*y**3 + 0*y**2 + 3*y**3 + 3*y**4 - y**2 - 5*y**4 as l*y**2 + j*y + v*y**3 + i*y**4 + z and give v. -1 Express (d - 3*d - 18*d)*((-2*d - 1 + 1)*(0 - 1 - 1) + 0*d + d - 2*d) - d**2 - 2*d**2 + d**2 in the form c*d + u + g*d**2 and give g. -62 Express -3 + 0*i**3 - 2*i + i**4 + 2*i**2 - i - 2*i**3 in the form s*i**2 + f*i**4 + m + l*i + g*i**3 and give s. 2 Express (1 - 5 + 1)*(-6*r - 5*r + 3*r) + (1 - 1 + 2*r)*(-3 + 2 + 2) + 3*r - 2*r + r in the form j*r + u and give j. 28 Express (-3 + 2*d + 3)*(-24*d - d**2 + 24*d) + (5 - 4 + 1)*(3*d**3 - 4*d**3 + 3*d**3) in the form u + a*d + l*d**3 + x*d**2 and give l. 2 Express (2 - 1 + 0)*(-7*l**2 + 17*l**2 - 7*l**3 - 8*l**2) as o + y*l + g*l**2 + j*l**3 and give j. -7 Rearrange (-4 + 1 + 1)*(-76*y - 77*y + 123*y) to the form p*y + g and give p. 60 Rearrange -4*z**4 - 6*z**4 + 3 + 3*z**2 - 5*z**4 - 2*z**2 + 2*z**3 to the form c*z**4 + y*z + l*z**2 + t*z**3 + k and give c. -15 Express (0 - 2 + 1)*(3 - 4 + 2)*(2*k - k + 2*k) as h + q*k and give h. 0 Express 33*x + 941 - 941 as y*x + z and give y. 33 Rearrange c**2 + 4*c**3 + c**2 - c**2 - 2*c**4 - 2*c**3 to y + n*c**2 + i*c + o*c**4 + x*c**3 and give x. 2 Express -3*q**2 - 80*q**4 + q - q**3 + 2*q + 78*q**4 + 0*q in the form r + b*q + h*q**3 + g*q**4 + o*q**2 and give g. -2 Express (-2*p + 0*p + 0*p)*(-10 - 35 - 10) + (-p - 4*p + 3*p)*(1 - 2 + 0) in the form t + r*p and give r. 112 Express 4*i - 15*i - 13*i in the form c + h*i and give h. -24 Express (-2*y + 1 - 1)*(-7*y**3 + 7*y**3 - 9*y**3) in the form t*y**4 + l + s*y + d*y**2 + v*y**3 and give s. 0 Rearrange (1 - 8 + 6)*(2*j - 6*j + 3*j)*(-j + 1 - 1) to the form s*j + k + l*j**2 and give l. -1 Rearrange 4*u - u - u**2 + u - 2*u to q + f*u + z*u**2 and give f. 2 Rearrange (-7*y + 6*y - 12*y)*(3 - y - 3)*(4 - 4 + 2*y) to the form s*y**2 + v + n*y + u*y**3 and give u. 26 Express 0*l**2 + 2*l**2 + l + 2 + 2*l**4 + 0 in the form u*l**2 + o + g*l**3 + j*l**4 + x*l and give j. 2 Express 5*n**2 - 3*n**2 + 0*n**2 - n**2 in the form y + o*n + c*n**2 and give c. 1 Rearrange -3*s + 2*s + 8*s**3 - 7*s**3 to q + k*s + l*s**3 + p*s**2 and give l. 1 Express -2*z**3 + 4*z + 0*z**3 - 5*z + 0*z**2 + 0*z**2 - 3*z**3 + (-3 + 3 + 6*z)*(-2 - 2*z**2 + 2) in the form k*z**2 + q + b*z + g*z**3 and give b. -1 Rearrange 2*m**3 + 9*m**3 - m**3 + (8 - 2*m - 5 - 2)*(2*m**2 - m +
{ "pile_set_name": "DM Mathematics" }
Let b(z) = 17 + 0*z**2 - i*z**2 - 11 + z - 3*z**3 + 2*z**3. Determine b(-5). 1 Let d(m) = m**2 - 9*m + 6. Let q be (-3 - (-8 - -2)) + 6. Calculate d(q). 6 Let f(g) = -7*g - 13. Let l(b) be the first derivative of 2*b**2 + 7*b - 4. Let t(v) = -3*f(v) - 5*l(v). Give t(-4). 0 Let l(d) = d**2 + 10*d + 8. Let q(y) = -3*y + 11. Let j be q(6). Determine l(j). -13 Suppose -5*x = -2*p - 2*p - 30, 4*p = -2*x - 16. Let j(f) = 1 - x*f + f**2 - 2 + f. Give j(-3). 11 Let z = -3 + 3. Let l(f) = -4*f - 3 + 4*f + f**2 + z*f**2 - f. What is l(0)? -3 Let o(q) = -q**3 + 4*q**2 + 5*q + 1. Let w be o(5). Suppose a = -w + 3. Let z(f) = 2*f**3 - 4*f**2 + 2*f + 1. What is z(a)? 5 Let i(n) = -5*n - 5. Let j(m) = -1. Let z(c) = -i(c) + 6*j(c). Give z(-2). -11 Let m = 2/99 + 25/396. Let h(f) be the second derivative of 1/6*f**3 - 2*f**2 + 0 + m*f**4 - 2*f. Calculate h(0). -4 Let w(l) = l**2 - 7*l + 6. Let z(u) = 4*u - 9. Let m = -5 + 12. Let d be z(m). Suppose 2*c = -3*i + 3*c + d, -2*i = 3*c + 2. Calculate w(i). -4 Let k(g) = 4 + g**3 - g**3 + g**3 - 3*g**2. Let i be (-15)/4 - 2/8. Let j be 18/i*(-2)/3. Calculate k(j). 4 Let s(n) be the first derivative of 2*n - 4 - 1/2*n**2. Suppose -2*r - 5*j + 10 = r, 3*r - 5*j - 20 = 0. Determine s(r). -3 Let l(m) be the second derivative of m**3/6 + 3*m**2 - 28*m. Give l(-8). -2 Let t(a) = 2*a - 9. Suppose 5*j - 43 = -8. What is t(j)? 5 Let q(c) = -5*c - 16 + 3 - c**2 + 8 + 9. Calculate q(-5). 4 Let k(q) = q**2 + 3*q + 7. Let i(c) = c + 1. Let v(l) = 6*i(l) - k(l). Let t be (-24)/9*6/4. Let b be t/(-16) - 14/(-8). Calculate v(b). 1 Let p = -19 + 21. Let i(y) = y**2 + y**p - y**2 + y**2. What is i(1)? 2 Let x(n) be the third derivative of 0*n + 3*n**2 - 1/24*n**4 + 0*n**3 + 0. Suppose -5*b = v - 25, -3*b - 2*b - 5*v + 45 = 0. Give x(b). -4 Let b(i) = -i**3 + 4*i**2 + 2*i - 7. Suppose -26 = s - 3*s + 4*q, 0 = -2*s + q + 14. What is b(s)? -22 Let z(r) = 3*r**3 + r**2 - 1. Let l(p) = -2*p**3 - p**2 + 1. Let j(o) = 3*l(o) + 4*z(o). Suppose -6*s = -2*s - 4. What is j(s)? 6 Let i(d) be the third derivative of -1/6*d**3 + 1/60*d**5 + 0*d + 4*d**2 + 0 - 1/24*d**4. Suppose -3*y - 6 = -3. What is i(y)? 1 Let n be 64/(-24) - 3/9. Let l(k) = -k**2 - k + 2. What is l(n)? -4 Let a = 4 + 1. Let h(k) be the first derivative of -k**4/4 + 4*k**3/3 + 5*k**2/2 - 3*k - 3. Calculate h(a). -3 Let x(f) be the third derivative of 5*f**2 + 0*f - 1/6*f**3 - 1/120*f**6 - 1/24*f**4 - 1/15*f**5 + 0. Determine x(-2). -7 Let l(a) = -a**3 - a**2 + 2. Let y be l(-2). Let c be 24/(-14) - y/21. Let b(f) be the third derivative of -f**5/20 - f**4/8 - f**3/6 - f**2. Give b(c). -7 Let j(k) = -9*k - 7. Let w(s) = -17*s - 13. Let p(y) = 7*j(y) - 4*w(y). Let h be (-3)/(-5)*(-45)/(-3). Suppose -5*o - h = x, -2*o - 9 = -5*x - 0. What is p(o)? -7 Let s be 3/(6/4 + 0). Let x(f) = 7*f - 1 - 2*f - s*f - 2*f. Suppose -6 = 2*o - 4*d, -2*d + 0*d - 17 = -5*o. What is x(o)? 4 Let f = -39 - -41. Let a(o) = -4*o**2 + 3*o - 2. Give a(f). -12 Let p = 0 - 0. Let y(l) = -l + 8. Let o(u) = -u + 7. Let x(w) = -6*o(w) + 5*y(w). Determine x(p). -2 Let r(j) be the first derivative of j - 1/3*j**3 + 1 + j**2. Calculate r(-2). -7 Let m(u) = -u**2 - 5*u - 1. Let k = -62 + 56. What is m(k)? -7 Suppose -4*a = 3*m + 23, 4*m + a + 7 = 3*m. Let f(u) be the first derivative of -4*u - 2 - 1/3*u**3 - 3*u**2. What is f(m)? 1 Let l(v) = 5*v**3 - 3*v**2 - 3*v - 12. Let b(f) = -6*f**3 + 4*f**2 + 4*f + 13. Let t(d) = -5*d - 1. Let a be t(1). Let m(h) = a*b(h) - 7*l(h). Give m(4). 10 Let f be (4/(-8) + 1)*2. Let k(u) = -u**2 + 4*u - 3*u**2 + 3*u**2 - f. What is k(2)? 3 Let x be (-23)/(-3) - (-6)/(-9). Suppose x*g = 2*g. Let h be (g - 0) + -1 + 2. Let i(c) = -7*c**3 + c**2 - 1. Determine i(h). -7 Let l(w) = 4*w + 2. Let q(t) = t. Let k(c) = -l(c) + 3*q(c). What is k(3)? -5 Let a(t) = -6*t**2 - t. Suppose -3*h - 18 = 5*r, -3*h + 2*r = -0*r - 3. Give a(h). -5 Let j(l) = -l**3 + l**2 - 2*l + 1. Let p be (-10)/(-2)*(-8)/(-20). Suppose 0*z - z = -p. Calculate j(z). -7 Let a(j) = j**2 - 8*j + 4. Let n be a(6). Let u(z) = z**3 + 8*z**2 - z - 10. Calculate u(n). -2 Let s(h) = -2*h - 2. Let v be s(-2). Suppose -v = p - 3. Let a(l) = -9*l**2 + 2*l - 1. What is a(p)? -8 Let x(c) = c**2 + 2*c - 2. Let g be (2 - -1)*(0 + -1). Let u be x(g). Suppose -u - 2 = 3*k. Let i(m) = -m**2 + m. Calculate i(k). -2 Let z be (-2)/(-7) + 12/(-42). Let s(q) be the first derivative of 3 - 5*q**3 + z*q + q + 6*q**3 + 0*q. Give s(1). 4 Let c(v) = v**2 + 6*v - 6. Suppose s + 5*s = 120. Suppose 3*r = -s - 1. Determine c(r). 1 Let s = -5 - 0. Let h(x) = x**2 + 5*x - 7. Determine h(s). -7 Let i(u) be the second derivative of 5*u**3/6 - 6*u. Determine i(-1). -5 Suppose 4*n - 3*r - r - 16 = 0, -5*n = r - 20. Let k(t) = -4 + 2 + n*t + 3 + 3. Determine k(-3). -8 Let p(q) be the third derivative of -q**6/360 - q**5/40 + q**4/8 - q**3/6 - 4*q**2. Let s(u) be the first derivative of p(u). What is s(-5)? -7 Let f(l) = -l - 4. Let a be f(-6). Suppose 2 = 4*g - 3*r - 2, 4*g + 3*r - 4 = 0. Let q be a*4*g/2. Let n(p) = -p**2 + 5*p - 6. Give n(q). -2 Let t be 1/(8/(-3) - -3). Let h(p) = -p**3 + 2*p**2 + 2*p + 4. What is h(t)? 1 Let y(t) = 4*t + 3. Let p = 2 - 2. Suppose n - 5*x + 2 = p, 4*x = 3*x. Calculate y(n). -5 Let w(g) = 3*g - 5. Let r(z) be the second derivative of 0 - 3*z - 1/6*z**3 + 7*z**2. Let n be r(9). Give w(n). 10 Let j(x) be the second derivative of -3/2*x**2 + 1/2*x**3 - 5*x + 1/12*x**4 + 0. Suppose -g + 8 = -2*v - 6*g, 0 = v - 3*g + 4. Give j(v). 1 Let m(h) = h**2 - 7*h + 6. Suppose a + 5*u - 17 = 0, 6*u - 8 = 2*a + 2*u. Suppose 5*r + 2*d = -22 + 4, 0 = a*r - 2*d - 4. Let y = r - -7. What is m(y)? -4 Suppose -4*x = -19 - 21. Suppose 0 = y + z - 2 + 4, -5*y + x = z. Let t(c) be the third derivative of -c**4/6 + c**3/3 + 3*c**2. Give t(y). -10 Let g(s) = -4*s + 3. Let b be 1/(-2) + (-27)/6. Let n(i) = i**2 + 5*i + 3. Let t be n(b). Calculate g(t). -9 Let s(y) = 4*y - 3. Let o be s(-1). Let d(v) = -v**2 - 7*v + 7. Calculate d(o). 7 Suppose 0 = -4*f - 72 + 12. Let p be (-3)/f + (-1)/5. Let n(g) = g**2 + p + 0*g**2 + 6*g + 4 + 0. Determine n(-4). -4 Let g(r) = r + 4. Let f be (4/2)/(2 + -1). Suppose 2*d = -f*d + 20. Suppose -5*i = -d*u, -3*u + 5*i = -u. Give g(u). 4 Suppose 2*m + 3*m = 20. Let v(n) = -n - 19. Let x be v(-14). Let a(o) = -7*o - 7. Let b(c) = 22*c + 22. Let q(i) = x*b(i) - 16*a(i). Calculate q(m). 10 Let q = 15 - 11. Let s(i) = 2 + q*i - 3*i - 3*i. Let y be (1 - 2)/((-1)/(-2)). Determine s(y). 6 Let t(o) be the first derivative of -o**4/4 - 5*o**3/3 + o**2/2 + 7. Give t(-5). -5 Let k(y) = y**2 + 5*y + 4. Suppose -5*d = -4*g - 2*d + 20, 2 = -3*g - 2*d. Let w be ((-24)/(-20))/(g/(-5)). What is k(w)? -2 Let j(n) = -n**2 - n + 6. Let g be (-114)/(-8) - (-3)/(-12). Let x be g/(-56) + (-2)/(-8). Determine j(x). 6 Let i(o) = o**3 - 7*o**2 - 8*o - 1. Let p be i(8). Let l be ((-4)/(-3))/(p/(-3)). Let k = l + 1. Let w(x) = x - 1. What is w(k)? 4 Let f(l) = l**3 - 8*l**2 + 2*l + 5. Let a(c) = c**3 - 7*c**2 + 2*c + 4. Let z(d) = -4*a(d) + 3*f(d). Suppose -p = -6*p + 20. What is z(p)? -9 Let n(q) = q**3 + 6*q**2 + q + 3. Suppose 2*y + 0 - 3 = -3*v, 4*v - 14 = -y. Calculate n(y). -3 Suppose y = 6*y. Let g be ((-24 - -3) + 3)/(-2). Let l(a) = a - 3*a + 3*a + g. Calculate l(y). 9 Let l(p) = -2*p + 1. Let z = 31 + -43. Let a = z + 14. What is l(a)? -3 Let g(y) be the third derivative of -y**6/120 - y**5/12 - y**4/6 - y**3/6 - 31*y**2. Let m = -7 - -3. What is g(m)? -1 Let j = -14 + 15. Let y(b) = -4*b**3 - 2*b**2 + 1. Let a be y(-1). Let i(p) = p + a - 2 + 2*p. What is i(j)? 4 Suppose n + 3*n = 20. Let v(x) = 3 + 0 + 3 - 2*x. Give v(n). -4 Let v(y) = -y - 1. Let d be (2 + 3/(-2))*6. Determine v(d). -4 Suppose -35 - 25 = -5*h. Suppose -2*a + 12 = a. Suppose -a*f + f = -h. Let c(q) = q**2 - 5*q + 4. Calculate c(f). 0 Let h(d) be the second derivative of -d**5/20 + d**4/4 + 2*d**3/3 - d**2 - d. Suppose -5*l = c, 5*l - 52 = -5*c + 6*l. Let b be -10*(-2)/c*2. Give h(b). -2 Let j(s) be the third derivative of s**6/120 - s**5/15 - 2*s**3/3 + s**2. Let o be (-16 - -17)/(1*1/4). Calculate j(o). -4 Let i(z) be the first derivative of z**3/3 - 3*z**2 + 4*z + 6. Let c(d) = d**2 - 6*d + 3. Let w(o) = 5*o + 1. Let r be w(1). Let j be c(r). Determine i(j). -5
{ "pile_set_name": "DM Mathematics" }
at is 154855540 to the power of 1/3, to the nearest integer? 537 What is the sixth root of 684342767 to the nearest integer? 30 What is 157028103 to the power of 1/2, to the nearest integer? 12531 What is the eighth root of 514492749 to the nearest integer? 12 What is the tenth root of 189454026 to the nearest integer? 7 What is 31590942 to the power of 1/6, to the nearest integer? 18 What is 2313948730 to the power of 1/3, to the nearest integer? 1323 What is 3352207333 to the power of 1/3, to the nearest integer? 1497 What is 527853613 to the power of 1/3, to the nearest integer? 808 What is 323845065 to the power of 1/7, to the nearest integer? 16 What is the square root of 28469045 to the nearest integer? 5336 What is the square root of 16044657 to the nearest integer? 4006 What is 46560672 to the power of 1/7, to the nearest integer? 12 What is 27809059 to the power of 1/2, to the nearest integer? 5273 What is the square root of 1073498078 to the nearest integer? 32764 What is 541652218 to the power of 1/2, to the nearest integer? 23273 What is 3120516 to the power of 1/9, to the nearest integer? 5 What is 49384528 to the power of 1/2, to the nearest integer? 7027 What is the fifth root of 2511364908 to the nearest integer? 76 What is the seventh root of 372614737 to the nearest integer? 17 What is the fifth root of 3917549382 to the nearest integer? 83 What is the cube root of 659015529 to the nearest integer? 870 What is the fourth root of 461970861 to the nearest integer? 147 What is 37270188 to the power of 1/2, to the nearest integer? 6105 What is the third root of 1527946835 to the nearest integer? 1152 What is 63514477 to the power of 1/3, to the nearest integer? 399 What is the eighth root of 95124555 to the nearest integer? 10 What is 46971871 to the power of 1/2, to the nearest integer? 6854 What is the third root of 45470384 to the nearest integer? 357 What is 47486146 to the power of 1/8, to the nearest integer? 9 What is the tenth root of 4973257736 to the nearest integer? 9 What is the square root of 41714519 to the nearest integer? 6459 What is 501004694 to the power of 1/6, to the nearest integer? 28 What is 584543564 to the power of 1/10, to the nearest integer? 8 What is 36177044 to the power of 1/7, to the nearest integer? 12 What is the square root of 138561143 to the nearest integer? 11771 What is 28549640 to the power of 1/9, to the nearest integer? 7 What is the sixth root of 24414982 to the nearest integer? 17 What is 83112379 to the power of 1/8, to the nearest integer? 10 What is 887214241 to the power of 1/4, to the nearest integer? 173 What is the third root of 126405424 to the nearest integer? 502 What is 279066469 to the power of 1/2, to the nearest integer? 16705 What is 397807131 to the power of 1/10, to the nearest integer? 7 What is the square root of 127974129 to the nearest integer? 11313 What is 189690765 to the power of 1/5, to the nearest integer? 45 What is the sixth root of 92909404 to the nearest integer? 21 What is 111324561 to the power of 1/3, to the nearest integer? 481 What is 2004145575 to the power of 1/2, to the nearest integer? 44768 What is the third root of 303445017 to the nearest integer? 672 What is 1190648110 to the power of 1/9, to the nearest integer? 10 What is 179127864 to the power of 1/3, to the nearest integer? 564 What is 1058923150 to the power of 1/2, to the nearest integer? 32541 What is 26462532 to the power of 1/2, to the nearest integer? 5144 What is the square root of 7305856 to the nearest integer? 2703 What is the square root of 115963969 to the nearest integer? 10769 What is the cube root of 27976735 to the nearest integer? 304 What is the cube root of 84266874 to the nearest integer? 438 What is the cube root of 139272906 to the nearest integer? 518 What is the square root of 26389906 to the nearest integer? 5137 What is the cube root of 50870597 to the nearest integer? 371 What is 972430101 to the power of 1/2, to the nearest integer? 31184 What is the square root of 1138102579 to the nearest integer? 33736 What is the fifth root of 352340300 to the nearest integer? 51 What is 247752750 to the power of 1/2, to the nearest integer? 15740 What is the square root of 593305214 to the nearest integer? 24358 What is the fifth root of 677723935 to the nearest integer? 58 What is 2818823284 to the power of 1/3, to the nearest integer? 1413 What is the cube root of 77071977 to the nearest integer? 426 What is 28822284 to the power of 1/2, to the nearest integer? 5369 What is 72679619 to the power of 1/2, to the nearest integer? 8525 What is 832339492 to the power of 1/10, to the nearest integer? 8 What is the tenth root of 42882321 to the nearest integer? 6 What is the eighth root of 45572162 to the nearest integer? 9 What is the fourth root of 339132301 to the nearest integer? 136 What is the cube root of 96816101 to the nearest integer? 459 What is the square root of 1606881879 to the nearest integer? 40086 What is 3147756946 to the power of 1/3, to the nearest integer? 1466 What is 5530460686 to the power of 1/9, to the nearest integer? 12 What is 1922733117 to the power of 1/3, to the nearest integer? 1243 What is the seventh root of 535205883 to the nearest integer? 18 What is the square root of 728537900 to the nearest integer? 26991 What is 4284274154 to the power of 1/3, to the nearest integer? 1624 What is 1284389684 to the power of 1/4, to the nearest integer? 189 What is the cube root of 1150947277 to the nearest integer? 1048 What is 4367595744 to the power of 1/2, to the nearest integer? 66088 What is the square root of 84453235 to the nearest integer? 9190 What is 51748893 to the power of 1/8, to the nearest integer? 9 What is the cube root of 26144017 to the nearest integer? 297 What is the fifth root of 585007034 to the nearest integer? 57 What is 189659865 to the power of 1/2, to the nearest integer? 13772 What is the cube root of 199575922 to the nearest integer? 584 What is 3225390378 to the power of 1/3, to the nearest integer? 1477 What is the square root of 2246234579 to the nearest integer? 47394 What is 878199878 to the power of 1/6, to the nearest integer? 31 What is 850640924 to the power of 1/3, to the nearest integer? 948 What is 62405617 to the power of 1/6, to the nearest integer? 20 What is the seventh root of 55691854 to the nearest integer? 13 What is 190047913 to the power of 1/7, to the nearest integer? 15 What is the third root of 976078849 to the nearest integer? 992 What is the fifth root of 295964019 to the nearest integer? 49 What is 21916906 to the power of 1/10, to the nearest integer? 5 What is the cube root of 1124296302 to the nearest integer? 1040 What is the fifth root of 170777927 to the nearest integer? 44 What is the cube root of 17963867 to the nearest integer? 262 What is 63642318 to the power of 1/2, to the nearest integer? 7978 What is the third root of 1724876993 to the nearest integer? 1199 What is the ninth root of 825513710 to the nearest integer? 10 What is 728349982 to the power of 1/2, to the nearest integer? 26988 What is 45303924 to the power of 1/3, to the nearest integer? 356 What is 695812346 to the power of 1/2, to the nearest integer? 26378 What is the eighth root of 424518791 to the nearest integer? 12 What is 39872431 to the power of 1/2, to the nearest integer? 6314 What is the seventh root of 24113013 to the nearest integer? 11 What is the square root of 84063618 to the nearest integer? 9169 What is the tenth root of 178244647 to the nearest integer? 7 What is the fifth root of 518920347 to the nearest integer? 55 What is the third root of 150276882 to the nearest integer? 532 What is the ninth root of 4204628509 to the nearest integer? 12 What is the cube root of 66519160 to the nearest integer? 405 What is the third root of 120253785 to the nearest integer? 494 What is the cube root of 74857333 to the nearest integer? 421 What is 98114471 to the power of 1/5, to the nearest integer? 40 What is the seventh root of 1040369049 to the nearest integer? 19 What is 561369018 to the power of 1/3, to the nearest integer? 825 What is the cube root of 1081246736 to the nearest integer? 1026 What is the cu
{ "pile_set_name": "DM Mathematics" }
quence wc when two letters picked without replacement from {x: 1, w: 2, c: 1, e: 1, p: 5}. 1/45 Two letters picked without replacement from qqqqqqq. What is prob of sequence qq? 1 What is prob of sequence mim when three letters picked without replacement from {i: 2, m: 5}? 4/21 What is prob of sequence yeg when three letters picked without replacement from {e: 1, y: 1, g: 1}? 1/6 Two letters picked without replacement from {q: 2, u: 4, x: 1, m: 1}. Give prob of sequence xu. 1/14 Three letters picked without replacement from xuplhuphlxmh. Give prob of sequence hul. 1/110 Calculate prob of sequence lu when two letters picked without replacement from {u: 1, s: 1, q: 2, l: 1}. 1/20 Calculate prob of sequence tt when two letters picked without replacement from {v: 2, d: 8, x: 2, t: 2}. 1/91 Calculate prob of sequence ehhe when four letters picked without replacement from ehhhhehh. 1/28 Calculate prob of sequence zi when two letters picked without replacement from {e: 1, i: 1, c: 2, z: 1, y: 2, l: 1}. 1/56 Calculate prob of sequence ssi when three letters picked without replacement from siksksikkwkik. 3/286 What is prob of sequence qute when four letters picked without replacement from udettuedtdteeeqtoteo? 1/1615 Three letters picked without replacement from {b: 5, v: 15}. Give prob of sequence bvv. 35/228 Calculate prob of sequence ldee when four letters picked without replacement from {r: 3, d: 3, e: 3, l: 1}. 1/280 Calculate prob of sequence xnwx when four letters picked without replacement from xxwxwxn. 1/35 What is prob of sequence zk when two letters picked without replacement from {l: 2, z: 2, x: 1, n: 1, k: 1}? 1/21 What is prob of sequence jk when two letters picked without replacement from knnkkjnknnn? 2/55 What is prob of sequence nkr when three letters picked without replacement from {r: 1, o: 2, n: 7, k: 10}? 7/684 Calculate prob of sequence uuuu when four letters picked without replacement from yumcmuammccucuc. 1/1365 Calculate prob of sequence ve when two letters picked without replacement from eevhehhevveeve. 2/13 Four letters picked without replacement from {l: 2, g: 1, r: 4, i: 6}. What is prob of sequence gggg? 0 Four letters picked without replacement from {e: 1, c: 3, t: 1}. Give prob of sequence cctc. 1/20 Calculate prob of sequence gg when two letters picked without replacement from {g: 10}. 1 What is prob of sequence kk when two letters picked without replacement from kmmmkm? 1/15 Three letters picked without replacement from {u: 4, q: 1, c: 3, r: 5}. What is prob of sequence quc? 1/143 Three letters picked without replacement from lkezqkklklkl. Give prob of sequence kll. 1/22 What is prob of sequence aal when three letters picked without replacement from aaalaazavaalaaalaaz? 26/323 Three letters picked without replacement from gqigqhffd. Give prob of sequence gfg. 1/126 Four letters picked without replacement from lellllkllll. What is prob of sequence elkl? 1/110 Two letters picked without replacement from {l: 5, r: 2, d: 2}. Give prob of sequence dd. 1/36 Four letters picked without replacement from zvzavazzazlpzzallv. What is prob of sequence azva? 7/2040 What is prob of sequence vq when two letters picked without replacement from vjjvvjvvvvjjbjqj? 7/240 Calculate prob of sequence pi when two letters picked without replacement from ffpipff. 1/21 Three letters picked without replacement from tttlcljt. What is prob of sequence llc? 1/168 Two letters picked without replacement from {u: 3, o: 2, j: 3, q: 1, d: 3, b: 2}. What is prob of sequence qd? 3/182 Calculate prob of sequence rhcc when four letters picked without replacement from {r: 1, h: 5, c: 4}. 1/84 Three letters picked without replacement from {p: 1, g: 1, y: 13}. What is prob of sequence gyp? 1/210 Four letters picked without replacement from axfasaaax. Give prob of sequence xsxa. 5/1512 What is prob of sequence umhh when four letters picked without replacement from {h: 5, m: 1, b: 3, u: 7}? 1/312 Calculate prob of sequence nf when two letters picked without replacement from {f: 1, n: 1, j: 1}. 1/6 Three letters picked without replacement from {k: 7}. Give prob of sequence kkk. 1 Calculate prob of sequence zs when two letters picked without replacement from {s: 3, d: 4, t: 2, z: 1, p: 7}. 3/272 Three letters picked without replacement from {x: 4, g: 2}. What is prob of sequence ggx? 1/15 What is prob of sequence ge when two letters picked without replacement from {g: 1, e: 3, i: 1, b: 1, t: 1}? 1/14 Four letters picked without replacement from kkehkeookoekeeooh. What is prob of sequence khko? 5/1428 Two letters picked without replacement from uuuuuaiujuuuiuuuajag. Give prob of sequence jj. 1/190 Four letters picked without replacement from {e: 3, b: 4, c: 3, t: 4, g: 6}. What is prob of sequence gbcb? 3/1615 Four letters picked without replacement from yynmqnr. What is prob of sequence yrny? 1/210 Three letters picked without replacement from {t: 2, s: 2, n: 7}. What is prob of sequence stn? 14/495 What is prob of sequence nnbp when four letters picked without replacement from nnnnrnrpbrnnrnbrrbg? 7/3876 Two letters picked without replacement from bbrsdrdspasbdrr. What is prob of sequence ps? 1/70 Four letters picked without replacement from hhhh. What is prob of sequence hhhh? 1 Three letters picked without replacement from pfatpjjr. Give prob of sequence afj. 1/168 Three letters picked without replacement from qfwqqqwwqqqqqqfqqq. Give prob of sequence qww. 13/816 Calculate prob of sequence iifi when four letters picked without replacement from {f: 3, i: 15}. 91/816 Two letters picked without replacement from {g: 2, b: 3}. What is prob of sequence bg? 3/10 What is prob of sequence gff when three letters picked without replacement from {g: 1, f: 11}? 1/12 Two letters picked without replacement from ppttttp. What is prob of sequence tt? 2/7 Three letters picked without replacement from {i: 4, z: 6}. What is prob of sequence ziz? 1/6 What is prob of sequence ll when two letters picked without replacement from {j: 5, l: 5, b: 4}? 10/91 Three letters picked without replacement from iurui. Give prob of sequence uii. 1/15 What is prob of sequence ml when two letters picked without replacement from mlllllmlmmzll? 8/39 Four letters picked without replacement from {c: 4, f: 3, e: 7}. Give prob of sequence ecfe. 3/143 Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu. 1 Calculate prob of sequence issi when four letters picked without replacement from {i: 7, s: 4}. 7/110 What is prob of sequence xqyy when four letters picked without replacement from {l: 2, x: 1, q: 1, y: 2, a: 2, b: 1}? 1/1512 Four letters picked without replacement from bbbwznbbnzbb. What is prob of sequence wzbn? 7/2970 What is prob of sequence vvm when three letters picked without replacement from vmvmmmmvvmvvv? 21/143 Four letters picked without replacement from {q: 4, o: 15}. Give prob of sequence oooq. 455/3876 Calculate prob of sequence cff when three letters picked without replacement from cffffcofooccocf. 5/91 Two letters picked without replacement from erzooczl. Give prob of sequence el. 1/56 Four letters picked without replacement from {h: 2, s: 2, a: 1, e: 8}. What is prob of sequence aess? 2/2145 Two letters picked without replacement from {d: 2, q: 2, u: 1, o: 1}. Give prob of sequence ud. 1/15 Two letters picked without replacement from looooooololololo. Give prob of sequence ol. 11/48 What is prob of sequence ll when two letters picked without replacement from {l: 11, d: 7, r: 1}? 55/171 What is prob of sequence fwpw when four letters picked without replacement from {r: 4, p: 4, w: 4, f: 2}? 4/1001 Two letters picked without replacement from ayjah. Give prob of sequence aj. 1/10 What is prob of sequence ff when two letters picked without replacement from {d: 4, f: 13, a: 3}? 39/95 Four letters picked without replacement from yzmymyywylyzzrymzwwm. Give prob of sequence yrym. 7/4845 What is prob of sequence nt when two letters picked without replacement from gtgn? 1/12 Two letters picked without replacement from {u: 2, z: 1, q: 1, n: 1, e: 2, m: 1}. What is prob of sequence ne? 1/28 Calculate prob of sequence odd when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
o = 14*o + 10. Suppose -5*h = -g - 278, -o*h + 4*g + 197 + 75 = 0. Is h a multiple of 7? True Let k(r) = -r**3 + r - 17. Let f be k(0). Suppose -a = -4*a + 5*j - 24, -68 = 5*a + j. Let o = a - f. Is o a multiple of 4? True Is 5621/8 + (-15)/200*-5 a multiple of 36? False Suppose 0 = 11*c - 12909 - 19651. Is c a multiple of 46? False Suppose -4*q + 15 - 1 = -5*g, 5*g + 10 = 0. Suppose -3*c = 3, -u + 5*c = q - 10. Suppose -o + 30 + u = 0. Is 11 a factor of o? False Suppose -n - n - 134 = -j, 0 = j - 5*n - 119. Is j a multiple of 6? True Let p(f) = -4*f**2 + 2*f - 6*f + 4*f**2 - 23*f**3 - 5*f**2. Is 11 a factor of p(-2)? False Let m be (-1 - 20/12)/(1/(-9)). Let u = 1 + m. Does 25 divide u? True Let a be 10/(-4)*(-18)/45. Let r be 19 + -15 - (a + 0). Suppose s = -m + 42, -m + 4*s + 46 = r*s. Is m a multiple of 7? False Let v(z) = z**2 - 27*z + 14. Is 3 a factor of v(29)? True Let v = 35 - 101. Let q = 174 + v. Is q a multiple of 25? False Suppose 0 = -41*u + 36*u + 2700. Is u a multiple of 54? True Suppose 3*a + 4*h - 795 = 0, 4*h = -2*a + h + 531. Is 29 a factor of a? True Let u(k) = -4 - 10 + 7 + 5*k - 7. Does 15 divide u(9)? False Let w = -303 - -346. Does 33 divide w? False Let s(y) = -17 + 0*y - 9 + 22*y**2 - 21*y**2 + 9*y. Does 16 divide s(-15)? True Let g = 42 - 11. Let j = g - 29. Suppose -3*f + 2*a = j*f - 539, f - 5*a = 94. Does 20 divide f? False Let b(t) = t + 175. Is b(-22) a multiple of 5? False Suppose 2*d = -0*l + 2*l + 152, 5*d + 2*l = 345. Suppose -3*g + 16 = 109. Let s = g + d. Is 10 a factor of s? True Let b = -17 + 10. Let w be 1 + b/(7/(-2)). Suppose v = -6*j + w*j + 40, 8 = j - 5*v. Does 13 divide j? True Let b = -17 - -10. Let g be (7 - (0 + 3)) + b. Does 20 divide g/(-15) - 398/(-10)? True Let g(c) = 73*c. Is g(3) a multiple of 23? False Let z(k) = 46*k + 906. Does 6 divide z(-14)? False Let a(t) be the first derivative of t**2/2 + 45*t - 1. Is 16 a factor of a(-13)? True Let f(v) = -2*v**3 - v**2 + 6*v + 6. Let b be (-1*2)/((-12)/30). Let n(t) = -t**3 + 6*t**2 - 6*t + 1. Let u be n(b). Is f(u) a multiple of 32? False Suppose -181*g + 2670 = -171*g. Does 45 divide g? False Let j(v) = 3*v**2 - 7*v - 4. Let a(n) = 6*n**2 - 14*n - 7. Let o(r) = 4*a(r) - 7*j(r). Is 6 a factor of o(6)? True Let h = -39 - -45. Suppose -h*n + 520 = 7*n. Does 4 divide n? True Suppose -48 = -4*k + 608. Does 5 divide k? False Let k be 39/15 + 2 + 8/(-5). Is 10 a factor of 273/6 - (-1 + k/6)? False Let a(d) = d**3 - 9*d**2 - 14*d + 2. Let k = 10 - 10. Suppose 21*v - 17*v - 44 = k. Does 15 divide a(v)? True Let b be -2*(-4046)/12 - 24/(-36). Suppose -b = p - 6*p. Is p a multiple of 15? True Let y = 100 + 80. Suppose 0 = -5*u - 4*f + y, -2*u - 4*f + 32 = -28. Is u a multiple of 9? False Let l = 12 + -7. Suppose -3 = 4*c + l. Is 22 a factor of c/(-8)*4 - -21? True Suppose 2*b + 1 + 5 = 0. Let x be 5/(b - -2)*-1. Suppose u = -x*a - 7, -2 = u + 4*a - 0. Is 6 a factor of u? True Suppose -t - d + 25 = 0, -5*d + 45 = 9*t - 8*t. Is 4 a factor of 1610/t - (-6)/4? False Let k(g) = -1. Let y(i) = -i**2 + 8*i - 21. Let x(c) = -3*k(c) - y(c). Is 11 a factor of x(10)? True Suppose 5*i = o + 11 + 5, -4*o - 13 = -3*i. Let r = 100 + -16. Suppose -i*n + r = n. Does 6 divide n? False Let m(u) = u**3 - u**2 - 2*u + 36. Let t(i) = -i**3 + 6*i**2 + 8*i - 10. Let d be t(7). Let z be (1 + 1 - -1) + d. Is 12 a factor of m(z)? True Suppose 17*a = 998 + 3762. Is 10 a factor of a? True Let h(m) = m**2 + 3*m + 4. Let g be h(-3). Suppose 4*j = 67 + 5. Suppose 70 = g*d - j. Is d a multiple of 17? False Suppose 0*i + 4*i + 8 = 4*t, 60 = 5*t + 5*i. Suppose -t*w + 35 = -6*w. Does 9 divide w? False Let l(m) = -3*m + m + m**2 - 2*m - 5 + 3*m. Let x be l(0). Let k = 14 + x. Is k a multiple of 6? False Suppose t - 20 + 0 = 0. Suppose l + l + t = 0. Does 8 divide l/25 + (-172)/(-5)? False Let c be (-46)/(-4) - 6/(-12). Suppose -3*j - 5*l = -365, l - 4*l + c = 0. Is 22 a factor of j? False Suppose 0 = -4*p + 3*o - 40 + 265, 69 = p - 5*o. Suppose 0 = -v - 0*v + p. Is 18 a factor of v? True Suppose -v + 0*n = 4*n - 366, -4*n = -3*v + 1162. Is 16 a factor of v? False Does 17 divide (-9)/(360/(-656))*10? False Suppose w - 227 - 231 = 0. Let l = w + -266. Is 48 a factor of l? True Suppose -2*j - 5 = -385. Let f = j - 131. Is 17 a factor of f? False Does 35 divide 6/14 + 5856/56? True Let n(y) = 2*y**3 + 12*y**2 - 5. Let w(m) = -m**3 - 11*m**2 - m + 5. Let g(u) = -2*n(u) - 3*w(u). Let o be g(9). Suppose 4*i = o + 34. Is 14 a factor of i? True Let w(n) = 4*n**2 + 21 - 11 - 2*n**2. Is w(9) a multiple of 9? False Suppose -4*t + 9*t + 10 = 0. Is 10 a factor of ((-632)/16 - (-3)/2)*t? False Suppose 0*g - 8 = 4*s - g, 4*s - 3*g + 16 = 0. Let v be (-2)/(-4) - s/(-2). Suppose -5*u + 45 = -5*n, v = 5*u - 2*n + 4*n - 17. Is 3 a factor of u? False Suppose 4*t - 12 = 0, -2*t - 1 = 3*h - 25. Let z be (4/h)/(11/33). Suppose z*i - i = -u + 21, 0 = u + 5*i - 41. Is 4 a factor of u? True Let o be (-13)/(65/30)*8/(-6). Suppose 0 = -3*i + 3*n - o*n + 105, 0 = -3*i + 4*n + 132. Is i a multiple of 19? False Let v(n) = n**2 + 36*n + 133. Is 49 a factor of v(-40)? False Let g(q) = -q + 6. Let x be g(4). Let n be 1/x*2 - -4. Suppose 22 = n*k - 3*k. Is k a multiple of 2? False Let y(x) = -x + 1. Let o be y(-6). Let l = o - 9. Is 5 a factor of (4 + l)/(4/10)? True Suppose 5*w - 31 = -1. Suppose -3*x = -5*g - w*x + 40, 3*g = -4*x + 35. Suppose 0 = -g*f - 4 - 11, -10 = -b - f. Does 11 divide b? False Let c = 461 + -348. Is 6 a factor of c? False Suppose 7 = -8*v - 1. Does 11 divide 4/v - (-112 + -2)? True Let f(c) = 31*c**2 + 10*c**2 - 2*c**2 - 9*c - 9*c**2. Is 33 a factor of f(-3)? True Let o be 17/102 - (-46)/12. Let d = 39 - o. Is d a multiple of 7? True Let k(c) = c**2 - 3*c + 15. Let g be k(-6). Suppose -5*y + 2*y = -g. Is y a multiple of 8? False Let q(k) be the third derivative of 1/60*k**6 + 0*k + 1/24*k**4 - 1/60*k**5 + 1/6*k**3 + 7*k**2 + 0. Is q(2) a multiple of 9? False Let m(k) = 5*k**3 + 5*k**2 - 5*k + 5. Let o(t) = -9*t**3 - 10*t**2 + 10*t - 10. Let b(p) = -7*m(p) - 4*o(p). Does 24 divide b(3)? False Suppose 2*i = 2*p + 12, 4*p = 2*i + p - 15. Let r = -240 + 240. Suppose r = i*h - 5*h + 90. Is h a multiple of 15? True Let z(s) = s**3 + 8*s**2 + 0*s**3 - 4*s**2 + 6*s - 2*s**3 - 7. Let t be z(5). Does 7 divide (-36)/t - (-7 + 4)? True Suppose a + 3*r + 101 - 545 = 0, 0 = a + 2*r - 449. Let u = a - 326. Is 9 a factor of u? False Is 17 a factor of (-57177)/(-57) + (-22)/209? True Is (-2)/5 + (-8972)/(-5) + -6 a multiple of 16? False Let p = -64 - -69. Let u = p - -35. Is 14 a factor of u? False Let q(z) = -3*z**3 - 14*z**2 - 30*z - 15. Is q(-10) a multiple of 48? False Let s(b) = 5*b**3 - 2*b**2 - 2*b - 2. Let m be s(3). Let j = m - 50. Is j a multiple of 20? False Let g be 118/(-12)*-2*-3. Let b = 84 + g. Does 11 divide b? False Suppose a = 4 - 2. Suppose -a*n - 8 = -4*n. Let r = n + 8. Is 6 a factor of r? True Let a = 308 + 151. Does 17 divide a? True Suppose -33 = g + 3*c, -g + 2*g = c - 21. Let b = 53 + g. Does 10 divide b? False Let l(r) = -90*r + 19. Is l(-1) a multiple of 3? False Suppose 5*t = -2*w + 1951, 2*t + 3135 - 1163 = 2*w. Is 20 a factor of w? False Let s(f) = -7*f + 31. Let c(a) = -6*a + 31. Let u(w) = 3*c(w) - 4*s(w). Does 11 divide u(9)? False Let r(t) = -t + 6. Let j be r(2). Suppose j*q = -0*q. Suppose 4*f + 11 = 3*i, -4*i - 5*f + 4 + 21 = q. Is i a multiple of 5? True Let i = -358 + 1324. Is 21 a factor of i? True Does 6 divide ((-2771)/51)/((-2)/6)? False Let j = 83 - 83. Suppose j = -a - 6 + 221. Is 43 a factor of a? True Let d(s) = s**3 + 7*s**2 - 3. Let p = -18 + 21. Suppose 2*r - 2*b - b + 1 = 0, 3*b - 6 = p*r. Does 17 divide d(r)? False Let o(i) = i**2 - 16*i + 27. Let k = 126 - 101. Does 42 divide o(k)? True Let f(w) = -w**3 + 18*w**2 + 94*w + 51. Does 27 divide f(21)? True Suppose -5*c - 28 = -b - b, 0 = -5*b + c + 116. Suppose 5*z - b = -n, -3*z - n = -0*z - 16. Suppose -5*s = 20, 491 = 6*g - g - z*s. Does 31 divide g? False Let c be 33*(6/2 + -4). Let h = -27 - c. Suppose h*x = x + 15. Does 3 divide x? True Let z be -1 - 3/((-9)/21). Let q be 53/(-2) - z/(-4). Let f = 55 + q. Is f a multiple of 15? True Let v(k) = 3*k - 4*k + 2 + 0*k + 6. Is 3 a factor of v(-17)? False Suppos
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {q: 3, d: 6, l: 1, x: 3, r: 1, n: 4}. Give prob of sequence xxrd. 1/2040 Calculate prob of sequence qpp when three letters picked without replacement from {a: 1, p: 2, g: 1, q: 1}. 1/30 What is prob of sequence uiu when three letters picked without replacement from {h: 1, u: 2, i: 1}? 1/12 Calculate prob of sequence jj when two letters picked without replacement from bjddddjddbjddddddd. 1/51 Two letters picked without replacement from {j: 3, r: 8}. What is prob of sequence jj? 3/55 What is prob of sequence uoou when four letters picked without replacement from oouooouuouoouuouuuuu? 22/323 Two letters picked without replacement from sssyysy. Give prob of sequence ys. 2/7 Two letters picked without replacement from {d: 2, u: 1, k: 2, e: 1, b: 1, t: 1}. Give prob of sequence ue. 1/56 Four letters picked without replacement from {j: 4, d: 2, g: 7, x: 3, c: 2}. What is prob of sequence xxcd? 1/3060 Two letters picked without replacement from {w: 4, i: 2}. What is prob of sequence ww? 2/5 Three letters picked without replacement from zpfpufppuzlzazllu. Give prob of sequence pua. 1/340 Calculate prob of sequence ddkd when four letters picked without replacement from {d: 9, c: 2, k: 7}. 49/1020 Four letters picked without replacement from {h: 1, v: 4, t: 4, i: 1, c: 5}. What is prob of sequence vvht? 2/1365 Four letters picked without replacement from cgpizgnic. What is prob of sequence zzcc? 0 Calculate prob of sequence azzw when four letters picked without replacement from bbwbwbbbbwzzabzbwa. 1/1530 Calculate prob of sequence lpp when three letters picked without replacement from {p: 2, l: 9, e: 2}. 3/286 Two letters picked without replacement from {r: 2, w: 6, c: 1, b: 3, q: 5, x: 3}. Give prob of sequence cr. 1/190 What is prob of sequence brup when four letters picked without replacement from {u: 1, r: 3, l: 2, p: 1, b: 3, v: 2}? 1/1320 Four letters picked without replacement from {b: 2, d: 8, s: 2}. What is prob of sequence ssdd? 14/1485 Calculate prob of sequence yygf when four letters picked without replacement from yglgspsppfygy. 3/2860 Four letters picked without replacement from {u: 5, r: 2}. What is prob of sequence ruuu? 1/7 Calculate prob of sequence sqs when three letters picked without replacement from {t: 13, q: 3, s: 2}. 1/816 Calculate prob of sequence ccc when three letters picked without replacement from chchllhhhllpcklcplhh. 1/285 Calculate prob of sequence immp when four letters picked without replacement from {h: 9, p: 5, i: 2, m: 3}. 5/7752 What is prob of sequence iq when two letters picked without replacement from {i: 4, q: 6}? 4/15 Three letters picked without replacement from ppaapppppappap. Give prob of sequence aaa. 1/91 Two letters picked without replacement from {z: 2, k: 2, v: 8, m: 5}. Give prob of sequence vk. 1/17 Three letters picked without replacement from itll. What is prob of sequence itl? 1/12 What is prob of sequence hr when two letters picked without replacement from {r: 3, h: 2}? 3/10 Four letters picked without replacement from {x: 4, h: 6, j: 7, l: 1}. What is prob of sequence hxhx? 1/204 Two letters picked without replacement from {h: 3, j: 1, k: 2, a: 1}. Give prob of sequence ak. 1/21 Calculate prob of sequence lcw when three letters picked without replacement from lllclclwlclllccllle. 10/969 Two letters picked without replacement from {b: 1, v: 1, q: 3, f: 2, t: 1, x: 4}. What is prob of sequence qt? 1/44 What is prob of sequence xxxx when four letters picked without replacement from {x: 10}? 1 Calculate prob of sequence aw when two letters picked without replacement from adwqwedwwaaawaw. 1/7 Three letters picked without replacement from {y: 2, n: 2, u: 2}. What is prob of sequence yny? 1/30 Two letters picked without replacement from sfs. What is prob of sequence fs? 1/3 Four letters picked without replacement from vvvzzozyyz. Give prob of sequence zzov. 1/140 Calculate prob of sequence mk when two letters picked without replacement from {h: 1, m: 8, k: 6}. 8/35 Two letters picked without replacement from {t: 5, c: 3}. Give prob of sequence ct. 15/56 Four letters picked without replacement from wwwwwggwwwww. Give prob of sequence ggww. 1/66 Calculate prob of sequence gk when two letters picked without replacement from vvvsvkvivgvivvvs. 1/240 Two letters picked without replacement from {t: 16, r: 4}. Give prob of sequence tr. 16/95 Three letters picked without replacement from imooiimmmigixmoim. Give prob of sequence oog. 1/680 What is prob of sequence lee when three letters picked without replacement from {l: 1, e: 7}? 1/8 What is prob of sequence ssb when three letters picked without replacement from bsbsbbbsbs? 1/10 Calculate prob of sequence xs when two letters picked without replacement from laahxaxseall. 1/66 Two letters picked without replacement from nggdngnndgdgg. What is prob of sequence gn? 2/13 Two letters picked without replacement from {c: 4, v: 1, x: 2}. What is prob of sequence cc? 2/7 What is prob of sequence tf when two letters picked without replacement from {b: 3, f: 1, t: 2, p: 1, e: 5, m: 3}? 1/105 Three letters picked without replacement from vivvhzvikkhi. Give prob of sequence ikz. 1/220 What is prob of sequence tw when two letters picked without replacement from {w: 3, t: 4}? 2/7 Calculate prob of sequence yo when two letters picked without replacement from yycoryccroc. 3/55 Three letters picked without replacement from {v: 3, w: 4, f: 3, g: 4}. What is prob of sequence vfg? 3/182 What is prob of sequence aqla when four letters picked without replacement from {a: 2, l: 2, q: 1, g: 4}? 1/756 Calculate prob of sequence oded when four letters picked without replacement from {d: 2, o: 5, x: 1, e: 1}. 5/1512 Calculate prob of sequence jggg when four letters picked without replacement from {t: 5, j: 2, g: 13}. 143/4845 Calculate prob of sequence uu when two letters picked without replacement from uuuuccuc. 5/14 Calculate prob of sequence azz when three letters picked without replacement from aaazzvyahazzvvzza. 3/68 Calculate prob of sequence ulcc when four letters picked without replacement from cclllccccucclulccccc. 13/969 Two letters picked without replacement from lelrrrtextterettre. What is prob of sequence xl? 1/153 Three letters picked without replacement from eiee. What is prob of sequence eie? 1/4 Two letters picked without replacement from {t: 1, b: 1, m: 3, h: 1, k: 2, n: 4}. Give prob of sequence hb. 1/132 Two letters picked without replacement from {g: 3, n: 1, k: 5, e: 1}. Give prob of sequence eg. 1/30 Two letters picked without replacement from {q: 1, d: 2, c: 5, n: 2, p: 6}. Give prob of sequence nn. 1/120 Three letters picked without replacement from {s: 4, d: 2}. Give prob of sequence sdd. 1/15 Two letters picked without replacement from wnwwgugfuutuftwnwu. Give prob of sequence nn. 1/153 Calculate prob of sequence ooyy when four letters picked without replacement from oyoopoyoxyoyop. 3/143 What is prob of sequence fjz when three letters picked without replacement from fgffjfzfgjdjzfjjo? 1/68 What is prob of sequence aar when three letters picked without replacement from uraqqa? 1/60 What is prob of sequence vvjv when four letters picked without replacement from {j: 1, f: 3, v: 3, z: 4}? 1/1320 Three letters picked without replacement from smxtxtxxxtmv. What is prob of sequence smm? 1/660 What is prob of sequence zry when three letters picked without replacement from nryyynnznzy? 4/495 Two letters picked without replacement from {v: 1, y: 2, f: 1, k: 4}. What is prob of sequence yy? 1/28 Three letters picked without replacement from {y: 2, e: 2, l: 1, q: 6, p: 1}. What is prob of sequence eyy? 1/330 Three letters picked without replacement from hzhzzhzzzzhhhhzz. Give prob of sequence zzz. 3/20 Three letters picked without replacement from {k: 2, p: 1, n: 1, r: 1}. Give prob of sequence rnk. 1/30 Three letters picked without replacement from {s: 2, l: 2, z: 5, m: 3}. Give prob of sequence zml. 1/44 Three letters picked without replacement from {g: 6, a: 3, p: 6}. Give prob of sequence app. 3/91 Calculate prob of sequence vs when two letters picked without replacement from eesesssvdvsesv. 9/91 What is prob of sequence nn when tw
{ "pile_set_name": "DM Mathematics" }
p + 28, 2*p + 5*g + 9 = -3. Is p even? True Let q(n) = n**2 - 7*n. Let i = -4 - -13. Let x be q(i). Suppose 3*k = k + x. Is 5 a factor of k? False Suppose 0 = d - 5*p - 57, -5*d + 3*p + 313 = 6*p. Is 4 a factor of d? False Let r = 222 + -70. Is r a multiple of 38? True Let b = 3 - 9. Let x be ((-4)/b)/((-4)/(-24)). Suppose g + 8 = q - 4*q, -x*g = -4*q - 48. Does 5 divide g? False Let r(z) = z + 5. Does 3 divide r(3)? False Let n be (-2 - -3)*-3 + -22. Let f = -1 - n. Suppose 2*m - f = 18. Is 7 a factor of m? True Suppose -v - 2*k + 290 = v, -4*v = -k - 595. Is 15 a factor of v? False Let s = -9 - -1. Let v(n) = n**3 + 7*n**2 - 8*n - 9. Let t be v(s). Is -6*(0 - (-15)/t) a multiple of 10? True Let x be (-2)/6*(-11 + -7). Let k(g) = -2*g**3 + 3*g**2 - 8*g + 12. Let q(p) = -p**3 + 2*p**2 - 4*p + 6. Let j(i) = 4*k(i) - 9*q(i). Is j(x) a multiple of 12? False Let i be (5/(-2))/((-2)/12). Suppose 6*u = 3*u - i. Is 12/u*30/(-9) a multiple of 3? False Is 6 a factor of (-21)/(-28)*(25 - 1)? True Let h(p) = 4*p**3 - 3*p**2 + 2*p - 2. Suppose 2*a - 5*a - 6 = 0. Let o be a + 4 - (1 + -1). Does 11 divide h(o)? True Let z(g) = g**3 - 6*g**2 - 1. Let q be z(6). Let k be (0*3/(-6))/q. Is (k - -1)*9/3 a multiple of 2? False Let o(v) = 2*v**2 - 2*v - 1. Let p be o(3). Let j = -3 + p. Is j even? True Is 13*1 + -30 + 30 a multiple of 8? False Is 5 a factor of (9 - 7)*(0 + 25)? True Suppose -3*p - 24 = d, 3*d - 5 = 2*p + 11. Let o(h) = h**3 + 7*h**2 - 9*h - 9. Let k be o(p). Let x = k + 3. Is x a multiple of 2? True Let s = 116 + -26. Is 6 a factor of s? True Let b(w) = -w**3 - 6*w**2 - 11*w - 43. Is 7 a factor of b(-6)? False Suppose 0 = -3*y + 3*i + 1089, -3*y = -5*i + 199 - 1294. Is 30 a factor of y? True Let u be 3/5 - (-2139)/(-15). Let w = -94 - u. Is w a multiple of 13? False Let h = -4 + 88. Does 7 divide h? True Let z be 107/(-3*(-1)/3). Suppose 0 = 3*o - 1 - z. Is o a multiple of 14? False Is 12 a factor of (-1)/(25/65 - 2/5)? False Suppose -2*k + 756 = k. Does 21 divide k? True Let p(d) = 8*d**2 + 2*d - 2. Does 8 divide p(1)? True Let j(u) = -u**3 + 8*u**2 + 3. Let l be j(8). Does 7 divide (-10)/(-15) + 70/l? False Let s = 80 - 40. Does 20 divide s? True Let v(l) = 4*l**2 - 3*l - 3. Is 4 a factor of v(-2)? False Let p = 2 + -3. Is p/(-2)*0 - -20 a multiple of 7? False Let d = 6 + -6. Let u be (d - 1/(-1))*5. Let h(y) = -y**3 + 7*y**2 - 6*y + 3. Does 11 divide h(u)? False Let i be (-4)/(-8) - 938/4. Does 15 divide i/(-14) + (-2)/(-7)? False Let m be 3/1*2/3. Suppose -g = m*g + 2*c - 47, -4*g = c - 61. Is 10 a factor of g? False Suppose -3*z - 15 = 0, 0 = 2*t - z - 0*z + 1. Let g(k) = -k**3 + 4*k**2 - 4*k + 4. Let f be g(3). Is (-28)/t*(f - -2) a multiple of 11? False Let b = -44 - -64. Does 20 divide b? True Let i be 4/2 + 53 + -3. Suppose -3*r + 2*r = -2*v + 43, -2*v + 4*r + i = 0. Is v a multiple of 8? False Let u be ((-3)/(-6))/(1/22). Let d(g) = -g + 1. Let s be d(5). Let o = u + s. Is o a multiple of 3? False Let g = -23 + 27. Is g even? True Let h = 289 + -157. Does 33 divide h? True Let b be ((-8)/3)/((-4)/6). Suppose l = -l + b*h + 52, -2*h = 10. Does 8 divide l? True Suppose 0 = -4*y - h - 56, 3*h + h - 16 = 0. Let k = y + 26. Is k a multiple of 8? False Suppose 2*r - r = 2*d + 4, 20 = 5*r + d. Suppose 222 = r*w + 70. Does 19 divide w? True Let d = 55 - 23. Does 8 divide d? True Let n = 318 + -219. Let d = 185 - n. Does 24 divide d? False Let q(g) = g**3 + 7*g**2 - 6*g + 3. Let o be q(-8). Let k = -8 - o. Is k a multiple of 4? False Let b be (3 - 0) + (-58 - -9). Is 5 a factor of b/(-10) + 10/25? True Let s be (0 - 0/1)/(-2). Suppose 4*r - 1 - 39 = s. Let g = r - -20. Does 15 divide g? True Let r = -158 - -302. Is r a multiple of 36? True Let v(f) = f**3 + 5*f**2 + 2. Let j be (-16)/6*(-9)/(-6). Is v(j) a multiple of 7? False Let u = 121 - 77. Is 8 a factor of u? False Suppose -5 = -3*q + a, 2*q + 3*a - 3 = 4. Let f = 14 - 7. Suppose -r + q*r = f. Is r a multiple of 3? False Suppose 3 = f + 3*a - 6, a - 17 = -5*f. Does 4 divide -4*(f - (5 + -1))? True Suppose h - 96 - 74 = 0. Is h a multiple of 12? False Suppose 3*f - 432 = 6*f. Is f/(-56) + 6/14 a multiple of 2? False Suppose 5*v - 74 = 4*r, -2*r - 3*r + 2*v = 101. Let j = r + 34. Does 5 divide j? False Let b(q) = -q**3 + 3*q**2 + 1. Suppose -w + d + 5 = 0, 0*d = 2*w - d - 7. Let z be b(w). Suppose z*f + 0*f = 160. Is 10 a factor of f? False Let w be (3/(-4))/(3/(-8)). Is 16 + (3 - 0/w) a multiple of 10? False Suppose l + 2*l - 4 = 4*y, -3*y + 2*l = 2. Suppose 2*n = 3*a - 59, 0 = -y*a + 3*n + 2*n + 54. Does 6 divide a? False Let n = -124 + 232. Is n a multiple of 36? True Let h(s) = -s**3 + 5*s**2 - 4*s + 2. Let t be h(4). Suppose -z = -t*z + 3. Suppose 46 = -n + z*n. Does 14 divide n? False Let z be 3*-1*(1 - 2). Suppose 3*j = 3*r + 33, z*j - 2*r - 29 = 2*r. Suppose -j = 2*s - 5*s. Does 5 divide s? True Let q be (0 - (1 + 0))*-22. Suppose 18 = -2*r + 2*p, r - 2*r + 3*p - 19 = 0. Let h = q + r. Is 12 a factor of h? False Let l = 13 - 22. Does 2 divide (l/(-27))/(1/27)? False Let w be (28/12 - 2)*69. Suppose -25 - w = -3*y. Is 4 a factor of y? True Let p = 91 - -32. Is 25 a factor of p? False Suppose 3*v - 8 = -2*n, -v + 2 = 2*v - 4*n. Suppose 14 = v*f + 6. Suppose -f*h + 20 + 12 = 0. Is 8 a factor of h? True Suppose -2*j = -p - 21, 2*j + 1 - 23 = 2*p. Let x = j - -24. Does 17 divide x? True Is 4 a factor of (8/14)/(2/14)? True Let a = 36 - 21. Is a a multiple of 4? False Let y(g) = 2*g - 2. Let p be y(-9). Let z = -33 - p. Let n = 2 - z. Is n a multiple of 15? True Suppose 66 = -5*q + 491. Is 9 a factor of q? False Let o = -5 + 11. Let w be o/(3*1/3). Is 9 a factor of -3*(-2)/(w/9)? True Suppose -4*l + 656 = 2*o, 2*o - 328 = -4*l + 2*l. Suppose -5*p - 2*t + l = 10, -p + 4*t + 22 = 0. Is p a multiple of 15? True Suppose 5*m - 87 = 553. Does 32 divide m? True Suppose 4*l = 6 + 6. Suppose 2*g - 2 = -n, -n + 6*g + 12 = l*g. Is 6 a factor of n? True Suppose 5*g = 2*r - 5 - 12, 2*r + 5*g + 13 = 0. Is 6 a factor of (-3 - r - -1) + 19? False Let t = -3 - -3. Suppose -u + 4*u - 54 = t. Is 6 a factor of u? True Suppose -5*n + 0*t = 3*t - 56, -3*n = -t - 42. Let o = 19 + n. Is o a multiple of 16? True Suppose 6 = t + u - 14, -110 = -5*t - 3*u. Is 7 a factor of t? False Suppose -4*t + 8 = 0, d = -d - 4*t + 48. Does 9 divide d? False Is 20 a factor of 7*7/((-196)/(-648))? False Let d(a) = -3*a**3 + 17*a**2 - 14*a + 21. Let q(u) = -u**3 + 8*u**2 - 7*u + 10. Let h(k) = -2*d(k) + 5*q(k). Is 4 a factor of h(-7)? True Suppose -4*n = -46 - 114. Suppose 5*k - 135 = n. Does 9 divide k? False Let p(f) = -f + 2. Let k(a) = -5*a + 9. Let u(c) = -2*k(c) + 9*p(c). Let z be u(2). Suppose 3*s = 3*j - z*j + 67, -j = 2*s - 48. Does 12 divide s? False Let j(p) = 3*p**2 + 6*p - 1. Is 22 a factor of j(4)? False Let p(x) = -65*x**2 - 2*x - 1. Let y be p(-1). Let u = 106 + y. Does 14 divide u? True Suppose 3*c = -g + c + 4, -5*c + 5 = 0. Let y = 0 + g. Does 8 divide y/(-5) - (-57)/5? False Is 18 a factor of (90/24)/((-1)/(-28))? False Suppose -2*q = -2*n - q + 18, -3*q = -n + 14. Suppose n + 22 = 5*t. Is t even? True Let w = 133 - 78. Suppose w + 20 = 5*p. Is p a multiple of 8? False Let a(y) = -5*y - 33. Is a(-10) a multiple of 8? False Is 31 a factor of 1 - -2 - (-157 + 5)? True Suppose 168 = i + 3*i. Does 5 divide i? False Suppose 20 = -3*x - x. Let r(b) = b**2 + b - 7. Is 13 a factor of r(x)? True Let m be (-10)/15 - 251/(-3). Let c = m - 43. Suppose -5*k = 4*g - c, -4*k - 2*g + 36 = 2*g. Does 3 divide k? False Let h be 21/(-2)*132/(-18). Suppose -23 + h = 2*c. Is c a multiple of 18? False Let a(q) = -13*q + 75. Is a(-9) a multiple of 24? True Is (5 - 6)/((-1)/38) a multiple of 19? True Suppose 8*y + 5*y = 1430. Does 10 divide y? True Let d(a) = a + 8. Let x be d(-8). Suppose 0 = -p + t - 19, -2*p = 5*t - x*t + 24. Let g = 31 + p. Does 4 divide g? False Suppose -4*j = 2*m + j - 33, -4*j = -m - 16. Suppose -m*v + 2*u = -122, -2*u = 2*u - 12. Is 8 a factor of v? True Let n = -36 + 54. Suppose -2 - n = -4*t. Suppose 4*c = -2*j + 30, t = -j + c + c. Is 5 a factor of j? True Let x(m) = -9*m - 4. Let g be x(-6). Suppose -g = 6*n - n. Let u = 34 + n. Is 12 a factor of u? True Let x(o) = o**2 - 5*o - 2. Let l be x(6). Let v(c)
{ "pile_set_name": "DM Mathematics" }
.1 in decreasing order. 266, 5, -0.06, -0.1 Put -1, -0.93, -1/6 in ascending order. -1, -0.93, -1/6 Put -9, -3, -5, -17 in decreasing order. -3, -5, -9, -17 Sort 0, -2/7, 87, 2/3. -2/7, 0, 2/3, 87 Put 0, 8, -27 in decreasing order. 8, 0, -27 Sort 0.4, -0.3, 21 in ascending order. -0.3, 0.4, 21 Put -5, 1/3, 4, 0.2 in ascending order. -5, 0.2, 1/3, 4 Put 3, -48, -4, 34 in ascending order. -48, -4, 3, 34 Sort 8, -2, 2, -3. -3, -2, 2, 8 Sort -3, -4, -42, -5. -42, -5, -4, -3 Sort -2/5, -2, 15 in increasing order. -2, -2/5, 15 Sort -2/7, 370, 0.5 in ascending order. -2/7, 0.5, 370 Sort -1, -3, -36. -36, -3, -1 Put -2/41, 5, -0.5, 8 in descending order. 8, 5, -2/41, -0.5 Sort 7, -3, -0.8, -3/8 in descending order. 7, -3/8, -0.8, -3 Put 14, -3, 9 in increasing order. -3, 9, 14 Sort 36, -2, 1, -4 in decreasing order. 36, 1, -2, -4 Put -0.0521, 2, 1 in descending order. 2, 1, -0.0521 Put 3, 7, 1, 5 in decreasing order. 7, 5, 3, 1 Put 0.24, -0.29, 0.2 in increasing order. -0.29, 0.2, 0.24 Sort 131, -5, -7. -7, -5, 131 Sort 1, 46, -5, 25, 4 in descending order. 46, 25, 4, 1, -5 Sort -17, 3, -34, 5 in ascending order. -34, -17, 3, 5 Put -1, -3, -4, -6 in decreasing order. -1, -3, -4, -6 Put 5/2, -5284, 1 in ascending order. -5284, 1, 5/2 Put -2, -210, 3, 4 in descending order. 4, 3, -2, -210 Sort 5, 3/2, 7 in decreasing order. 7, 5, 3/2 Put 0.1, -1, -7, 2/7, 2/21 in ascending order. -7, -1, 2/21, 0.1, 2/7 Put -5, -2, 2 in ascending order. -5, -2, 2 Sort -40, 0, -0.2, -8 in decreasing order. 0, -0.2, -8, -40 Sort -2/15, 3/7, 5, 104. -2/15, 3/7, 5, 104 Put 5, 0.2, 1/2, 5/4, 1 in increasing order. 0.2, 1/2, 1, 5/4, 5 Put -1, -5, -20, -6 in increasing order. -20, -6, -5, -1 Sort 4, -1, 5, 12/5, -3 in increasing order. -3, -1, 12/5, 4, 5 Put -5, 85, -2, -1 in increasing order. -5, -2, -1, 85 Put 0, 14, -0.5, 19 in increasing order. -0.5, 0, 14, 19 Sort 17, 3, -3. -3, 3, 17 Put -2, 2/13, -1, 1/4 in decreasing order. 1/4, 2/13, -1, -2 Sort 0.4, 1/14, -0.14. -0.14, 1/14, 0.4 Put 0, 10, -5, -89 in descending order. 10, 0, -5, -89 Sort 0.2, 1, -0.5, -59 in ascending order. -59, -0.5, 0.2, 1 Sort -2/19, 0.1, 363 in decreasing order. 363, 0.1, -2/19 Sort -364, -0.3, -3, -0.5 in ascending order. -364, -3, -0.5, -0.3 Put -2, 22, -12 in decreasing order. 22, -2, -12 Put 5, -53, -7 in descending order. 5, -7, -53 Put 0, -0.09, -2/11 in descending order. 0, -0.09, -2/11 Sort 0, 108, 5 in decreasing order. 108, 5, 0 Sort 1/4, 0, 0.3 in decreasing order. 0.3, 1/4, 0 Put 0, 5, -7, -14 in decreasing order. 5, 0, -7, -14 Put 0.5, 0.1, -0.1, 0.03 in descending order. 0.5, 0.1, 0.03, -0.1 Sort -2/7, 7.49, -1. -1, -2/7, 7.49 Sort -4, -46.68, -2/15 in decreasing order. -2/15, -4, -46.68 Put -1, -18, 3, 4 in ascending order. -18, -1, 3, 4 Sort -0.03, -3, 5 in increasing order. -3, -0.03, 5 Sort -5, -2, 508, 4. -5, -2, 4, 508 Put 5, -14, 4, -3, 6 in decreasing order. 6, 5, 4, -3, -14 Sort 4, -1937, 5, -4 in increasing order. -1937, -4, 4, 5 Sort 5, 3, -7 in ascending order. -7, 3, 5 Sort 1/7, 0.2, -192 in descending order. 0.2, 1/7, -192 Put -4, 2/9, 33, -2/3 in decreasing order. 33, 2/9, -2/3, -4 Sort 0.019, -3, 0 in decreasing order. 0.019, 0, -3 Sort 12, 4, -1, -2 in descending order. 12, 4, -1, -2 Put -2/5, 3, 0.063 in increasing order. -2/5, 0.063, 3 Sort -7, -9, -16, 1 in descending order. 1, -7, -9, -16 Put 1/5, 0.07, 2/3, -3 in increasing order. -3, 0.07, 1/5, 2/3 Sort -38, 5, -10. -38, -10, 5 Put 23, -1/10, 4 in descending order. 23, 4, -1/10 Put -4, 2/7, 3, -5 in decreasing order. 3, 2/7, -4, -5 Sort 0, -472, 2, 5. -472, 0, 2, 5 Sort 5, -2, 9, -4, -40 in ascending order. -40, -4, -2, 5, 9 Sort 5, -2/5, -31 in ascending order. -31, -2/5, 5 Sort 2, -22, -6 in increasing order. -22, -6, 2 Put -2, 5, 4, -3 in decreasing order. 5, 4, -2, -3 Sort -1, -4, 4, 5, 1 in decreasing order. 5, 4, 1, -1, -4 Sort -0.2, -1, 26 in decreasing order. 26, -0.2, -1 Sort 3, 6, -5, 2/393 in increasing order. -5, 2/393, 3, 6 Sort -2, -13, -4, 4, -1/182 in descending order. 4, -1/182, -2, -4, -13 Sort -1, -561, 3, -3, 1 in ascending order. -561, -3, -1, 1, 3 Sort 40, 17, 5. 5, 17, 40 Sort -5, 516, -2 in ascending order. -5, -2, 516 Sort -2/3, 3/8, -0.2, -4 in decreasing order. 3/8, -0.2, -2/3, -4 Sort -0.01, -13, 1/4, 0.2, -4. -13, -4, -0.01, 0.2, 1/4 Put -2, -109, -4, 4 in increasing order. -109, -4, -2, 4 Sort 1/4, -8, 9. -8, 1/4, 9 Sort 5, -1, 0.5, 0, -0.11. -1, -0.11, 0, 0.5, 5 Sort 1, -4, 4, -15 in descending order. 4, 1, -4, -15 Sort -25, 5, -2, 1 in descending order. 5, 1, -2, -25 Sort 3/4, 2/5, 1/5, -0.06 in ascending order. -0.06, 1/5, 2/5, 3/4 Sort 1, -8, 3, -2. -8, -2, 1, 3 Sort -3/7, -77, 8 in increasing order. -77, -3/7, 8 Sort 1, 1/5, -1.1 in decreasing order. 1, 1/5, -1.1 Put -155, -4, 0 in descending order. 0, -4, -155 Sort 9, -4, -5, -1 in ascending order. -5, -4, -1, 9 Sort -5, 3, 32, 5, 2 in decreasing order. 32, 5, 3, 2, -5 Put 0.21, 5, -0.3, 4 in decreasing order. 5, 4, 0.21, -0.3 Put -3, 0.4, 497, -2/3 in decreasing order. 497, 0.4, -2/3, -3 Sort -2/309, -3, -1 in decreasing order. -2/309, -1, -3 Sort 3, -3, -10, 32 in decreasing order. 32, 3, -3, -10 Sort 0, -1/7, -2, -2/13 in decreasing order. 0, -1/7, -2/13, -2 Put 2, 27, -1, -2 in decreasing order. 27, 2, -1, -2 Sort -5, -4, 3, 5 in increasing order. -5, -4, 3, 5 Sort -97, -1, -3 in descending order. -1, -3, -97 Put 5, -1, -16, -4, -32 in increasing order. -32, -16, -4, -1, 5 Put 4, -5, 144, 0 in ascending order. -5, 0, 4, 144 Put 4, 3, 2 in decreasing order. 4, 3, 2 Sort 3/2, -3, -12.9 in descending order. 3/2, -3, -12.9 Put -0.4, -1/5, -14, -0.1 in descending order. -0.1, -1/5, -0.4, -14 Sort -1/112, 1/4, 1/2, 5, -4 in ascending order. -4, -1/112, 1/4, 1/2, 5 Sort 6, 10, -3, -2 in increasing order. -3, -2, 6, 10 Sort -5, 1, -15, 7, 4 in increasing order. -15, -5, 1, 4, 7 Put 1, -1, -2/13, 18 in decreasing order. 18, 1, -2/13, -1 Sort 0, -15, -6, -5. -15, -6, -5, 0 Put -4, -9, -2, 24, -6 in descending order. 24, -2, -4, -6, -9 Put 0, 3, -21, 61, 0.1 in decreasing order. 61, 3, 0.1, 0, -21 Sort -1/3, -0.4, -1 in decreasing order. -1/3, -0.4, -1 Put -3, 4, 2077, -1 in decreasing order. 2077, 4, -1, -3 Sort 0.1, -1/2, -45/2, -1 in ascending order. -45/2, -1, -1/2, 0.1 Sort 3, -1.4, 4, 8/5 in decreasing order. 4, 3, 8/5, -1.4 Sort -0.03, -1, 43, -5. -5, -1, -0.03, 43 Put -3.4, -0.03, -5, -4, 2/9 in ascending order. -5, -4, -3.4, -0.03, 2/9 Sort -4, -2/9, 1.7. -4, -2/9, 1.7 Put -3, -1/2, 2, -2 in increasing order. -3, -2, -1/2, 2 Sort -2.17, 2, 0.4, -2 in decreasing order. 2, 0.4, -2, -2.17 Sort -0.3, 93, -4, -2/9 in descending order. 93, -2/9, -0.3, -4 Sort -0.2, 12, 18, 0.3, 3/4. -0.2, 0.3, 3/4, 12, 18 Put 2, -5, -4, 95, 6 in increasing order. -5, -4, 2, 6, 95 Put 0.4, 0.3, 3/2, -7 in decreasing order. 3/2, 0.4, 0.3, -7 Put 5, 4, -0.11, 0.2, 3 in descending order. 5, 4, 3, 0.2, -0.11 Put -1, 2/9, -4/15, 0.4 in increasing order. -1, -4/15, 2/9, 0.4 Put -18, -26, 5, 1 in decreasing order. 5, 1, -18, -26 Sort -4, 0, 5, -1, 116 in decreasing order. 116, 5, 0, -1, -4 Put 7, -229, 4 in decreasing order. 7, 4, -229 Put -0.2, -11/6, 3/8, -2 in decreasing order. 3/8, -0.2, -11/6, -2 Sort -0.5, -1/6, -18, 5, -1 in decreasing order. 5, -1/6, -0.5, -1, -18 Sort -3, -63, 1 in descending order. 1, -3, -63 Put 0, -3, -11 in increasing order. -11, -3, 0 Sort 261, 0, -8 in descending order. 261, 0, -8 Put -5, -3, 129 in decreasing order. 129, -3, -5 Put 5, 6, -1, -52, 3 in ascending order. -52, -1, 3, 5, 6 Sort -1, -5, -3, 695 in descending order. 695, -1, -3, -5 Sort 4, 9, -3.3 in ascending order. -3.3, 4, 9 Put -108, -4, 1/8, -0.4, -3 in increasing order. -108, -4, -3, -0.4, 1/8 Put 0.3, 5, -1.9, 1/50, -1 in decreasing order. 5, 0.3, 1/50, -1, -1.9 Sort 1, -4, 17 in increasing order. -4, 1, 17 Put -3/2, -1/11, 2/13, 4, -2 in ascending order. -2, -3/2, -1/11, 2/13, 4 Sort 2/29, 2, 1 in ascending order. 2/29, 1, 2 Sort 676, -2, 0 in increasing order. -2, 0, 676 Sort -5, 0.042, 2/5 in ascending order. -5, 0.042, 2/5 Sort 5, -2/7, -2/23, -1/6 in descending order. 5, -2/23, -1/6, -2/7 Put 524, 5, -5 in descending order. 524, 5, -5 Sort -22, 0, 0.4 in decreasing order. 0.4, 0, -22 Put -6, -4, -0.2, 4, -5 in descending order. 4, -0.2, -4, -5,
{ "pile_set_name": "DM Mathematics" }
, to the nearest integer? 2 What is 2275 to the power of 1/5, to the nearest integer? 5 What is 12731 to the power of 1/2, to the nearest integer? 113 What is the cube root of 10617 to the nearest integer? 22 What is 1330 to the power of 1/5, to the nearest integer? 4 What is the square root of 27820 to the nearest integer? 167 What is 20910 to the power of 1/4, to the nearest integer? 12 What is 15786 to the power of 1/2, to the nearest integer? 126 What is 2105 to the power of 1/2, to the nearest integer? 46 What is 10738 to the power of 1/2, to the nearest integer? 104 What is 1545 to the power of 1/10, to the nearest integer? 2 What is the third root of 15719 to the nearest integer? 25 What is the fourth root of 5667 to the nearest integer? 9 What is 37573 to the power of 1/2, to the nearest integer? 194 What is the square root of 174 to the nearest integer? 13 What is the square root of 980 to the nearest integer? 31 What is the cube root of 9875 to the nearest integer? 21 What is 19922 to the power of 1/8, to the nearest integer? 3 What is the third root of 4521 to the nearest integer? 17 What is the square root of 267 to the nearest integer? 16 What is the eighth root of 15689 to the nearest integer? 3 What is the cube root of 21975 to the nearest integer? 28 What is 85265 to the power of 1/2, to the nearest integer? 292 What is the third root of 400 to the nearest integer? 7 What is the tenth root of 134815 to the nearest integer? 3 What is 1399 to the power of 1/3, to the nearest integer? 11 What is 1709 to the power of 1/9, to the nearest integer? 2 What is the sixth root of 1401 to the nearest integer? 3 What is the sixth root of 1545 to the nearest integer? 3 What is 1483 to the power of 1/3, to the nearest integer? 11 What is the square root of 2548 to the nearest integer? 50 What is the tenth root of 5102 to the nearest integer? 2 What is the seventh root of 15901 to the nearest integer? 4 What is the cube root of 2460 to the nearest integer? 13 What is 795 to the power of 1/2, to the nearest integer? 28 What is the square root of 5571 to the nearest integer? 75 What is the third root of 787 to the nearest integer? 9 What is the third root of 9252 to the nearest integer? 21 What is the third root of 9795 to the nearest integer? 21 What is the sixth root of 99770 to the nearest integer? 7 What is the square root of 88867 to the nearest integer? 298 What is the fifth root of 258 to the nearest integer? 3 What is the square root of 106396 to the nearest integer? 326 What is the cube root of 376 to the nearest integer? 7 What is 7669 to the power of 1/6, to the nearest integer? 4 What is the cube root of 7517 to the nearest integer? 20 What is the cube root of 2712 to the nearest integer? 14 What is 21873 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 5453 to the nearest integer? 3 What is the fourth root of 55643 to the nearest integer? 15 What is the square root of 12378 to the nearest integer? 111 What is the cube root of 83616 to the nearest integer? 44 What is the ninth root of 860 to the nearest integer? 2 What is the cube root of 107 to the nearest integer? 5 What is 22631 to the power of 1/2, to the nearest integer? 150 What is 29 to the power of 1/4, to the nearest integer? 2 What is the tenth root of 1529 to the nearest integer? 2 What is the ninth root of 968 to the nearest integer? 2 What is 762 to the power of 1/3, to the nearest integer? 9 What is the square root of 1046 to the nearest integer? 32 What is the square root of 930 to the nearest integer? 30 What is 2087 to the power of 1/2, to the nearest integer? 46 What is 6233 to the power of 1/5, to the nearest integer? 6 What is 7152 to the power of 1/5, to the nearest integer? 6 What is the third root of 50876 to the nearest integer? 37 What is 10906 to the power of 1/2, to the nearest integer? 104 What is 73629 to the power of 1/10, to the nearest integer? 3 What is the square root of 20310 to the nearest integer? 143 What is 35160 to the power of 1/9, to the nearest integer? 3 What is 17225 to the power of 1/2, to the nearest integer? 131 What is the square root of 618 to the nearest integer? 25 What is the cube root of 2867 to the nearest integer? 14 What is 15487 to the power of 1/7, to the nearest integer? 4 What is the square root of 2319 to the nearest integer? 48 What is 34785 to the power of 1/3, to the nearest integer? 33 What is 130230 to the power of 1/2, to the nearest integer? 361 What is the square root of 45584 to the nearest integer? 214 What is 4891 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 77097 to the nearest integer? 17 What is the sixth root of 23847 to the nearest integer? 5 What is 16132 to the power of 1/2, to the nearest integer? 127 What is the fifth root of 735 to the nearest integer? 4 What is the square root of 1692 to the nearest integer? 41 What is the third root of 25116 to the nearest integer? 29 What is 29240 to the power of 1/4, to the nearest integer? 13 What is the square root of 50706 to the nearest integer? 225 What is the cube root of 11653 to the nearest integer? 23 What is the cube root of 8571 to the nearest integer? 20 What is 28273 to the power of 1/6, to the nearest integer? 6 What is 39998 to the power of 1/3, to the nearest integer? 34 What is the third root of 109428 to the nearest integer? 48 What is the square root of 37402 to the nearest integer? 193 What is the square root of 14977 to the nearest integer? 122 What is the third root of 29387 to the nearest integer? 31 What is the fourth root of 4896 to the nearest integer? 8 What is 13521 to the power of 1/7, to the nearest integer? 4 What is 11027 to the power of 1/3, to the nearest integer? 22 What is 66548 to the power of 1/8, to the nearest integer? 4 What is the ninth root of 868 to the nearest integer? 2 What is the cube root of 44237 to the nearest integer? 35 What is the square root of 11773 to the nearest integer? 109 What is the square root of 1080 to the nearest integer? 33 What is the square root of 1397 to the nearest integer? 37 What is 7333 to the power of 1/2, to the nearest integer? 86 What is 20355 to the power of 1/8, to the nearest integer? 3 What is the third root of 6272 to the nearest integer? 18 What is the sixth root of 484 to the nearest integer? 3 What is the eighth root of 15678 to the nearest integer? 3 What is the third root of 1295 to the nearest integer? 11 What is 45 to the power of 1/2, to the nearest integer? 7 What is 7811 to the power of 1/2, to the nearest integer? 88 What is the third root of 8421 to the nearest integer? 20 What is the tenth root of 1615 to the nearest integer? 2 What is 44774 to the power of 1/2, to the nearest integer? 212 What is 56819 to the power of 1/2, to the nearest integer? 238 What is the square root of 76357 to the nearest integer? 276 What is 2145 to the power of 1/3, to the nearest integer? 13 What is the tenth root of 262 to the nearest integer? 2 What is the square root of 1375 to the nearest integer? 37 What is 5442 to the power of 1/2, to the nearest integer? 74 What is the square root of 3558 to the nearest integer? 60 What is 37342 to the power of 1/2, to the nearest integer? 193 What is the square root of 18765 to the nearest integer? 137 What is 2391 to the power of 1/2, to the nearest integer? 49 What is 1603 to the power of 1/2, to the nearest integer? 40 What is the sixth root of 38634 to the nearest integer? 6 What is 21544 to the power of 1/2, to the nearest integer? 147 What is 2520 to the power of 1/7, to the nearest integer? 3 What is the cube root of 18145 to the nearest integer? 26 What is 1120 to the power of 1/2, to the nearest integer? 33 What is the third root of 1341 to the nearest integer? 11 What is the cube root of 209 to the nearest integer? 6 What is the tenth root of 696 to the nearest integer? 2 What is the square root of 1947 to the nearest integer? 44 What is 1149 to the power of 1/4, to the nearest integer? 6 What is 992 to the power of 1/2, to the nearest integer? 31 What is the cube root of 296 to the nearest integer? 7 What is the fourth root of 2426 to the nearest integer? 7 What is the tenth roo
{ "pile_set_name": "DM Mathematics" }
30 Calculate the remainder when 153059 is divided by 37979. 1143 What is the remainder when 393282 is divided by 785? 782 Calculate the remainder when 1704169 is divided by 1991. 1864 What is the remainder when 10211010 is divided by 2552748? 18 What is the remainder when 21817943 is divided by 1273? 1269 What is the remainder when 246506 is divided by 65? 26 Calculate the remainder when 3493323 is divided by 145554. 27 What is the remainder when 49905853 is divided by 1148? 1145 Calculate the remainder when 504053 is divided by 206. 177 What is the remainder when 8837650 is divided by 26539? 163 What is the remainder when 18602 is divided by 9283? 36 What is the remainder when 708205 is divided by 149? 8 Calculate the remainder when 16844078 is divided by 3165. 3113 What is the remainder when 113518 is divided by 56186? 1146 Calculate the remainder when 5129 is divided by 1835. 1459 Calculate the remainder when 4171486 is divided by 32. 30 Calculate the remainder when 198337 is divided by 1926. 1885 Calculate the remainder when 9299 is divided by 11. 4 Calculate the remainder when 3679435 is divided by 141505. 305 What is the remainder when 554581766 is divided by 4388? 4386 What is the remainder when 233014861 is divided by 50? 11 What is the remainder when 11307 is divided by 10996? 311 Calculate the remainder when 6773791 is divided by 260. 11 What is the remainder when 15238232 is divided by 71? 70 What is the remainder when 4986365 is divided by 1662089? 98 What is the remainder when 15160227 is divided by 3340? 3307 Calculate the remainder when 66639397 is divided by 33319691. 15 Calculate the remainder when 5985601 is divided by 1253. 20 Calculate the remainder when 64376754 is divided by 21. 15 What is the remainder when 687461 is divided by 150? 11 Calculate the remainder when 104193 is divided by 104186. 7 What is the remainder when 1050984 is divided by 703? 702 What is the remainder when 321374 is divided by 950? 274 Calculate the remainder when 124463 is divided by 12. 11 Calculate the remainder when 769750 is divided by 134. 54 Calculate the remainder when 108293 is divided by 2375. 1418 What is the remainder when 1794017 is divided by 448438? 265 What is the remainder when 488471 is divided by 162718? 317 Calculate the remainder when 21446688 is divided by 29. 28 Calculate the remainder when 822653 is divided by 298. 173 What is the remainder when 1211790 is divided by 1121? 1110 Calculate the remainder when 3831148 is divided by 281. 275 Calculate the remainder when 15607506 is divided by 10968. 42 What is the remainder when 62540489 is divided by 821? 814 What is the remainder when 4282719 is divided by 868? 7 Calculate the remainder when 5327341 is divided by 382. 351 What is the remainder when 149427 is divided by 887? 411 What is the remainder when 3022633 is divided by 3977? 113 Calculate the remainder when 3909340 is divided by 1595. 1590 What is the remainder when 1159979 is divided by 102? 35 What is the remainder when 92710 is divided by 756? 478 What is the remainder when 3119106 is divided by 239930? 16 Calculate the remainder when 14211391 is divided by 38. 37 Calculate the remainder when 8013 is divided by 1511. 458 Calculate the remainder when 42441481 is divided by 11160. 1 Calculate the remainder when 6103840 is divided by 632. 616 What is the remainder when 965481 is divided by 965460? 21 What is the remainder when 28049 is divided by 6499? 2053 What is the remainder when 7976188 is divided by 362514? 880 Calculate the remainder when 4137065 is divided by 1034190. 305 Calculate the remainder when 449544445 is divided by 2731. 2728 Calculate the remainder when 3005650 is divided by 1502820. 10 What is the remainder when 48292 is divided by 1665? 7 Calculate the remainder when 625143016 is divided by 681. 679 What is the remainder when 441496 is divided by 11386? 8828 Calculate the remainder when 6755390 is divided by 302. 254 Calculate the remainder when 95000152 is divided by 73. 69 What is the remainder when 42260 is divided by 2839? 2514 What is the remainder when 27511284 is divided by 1434? 1428 Calculate the remainder when 37297974 is divided by 603. 12 What is the remainder when 1955458 is divided by 476? 50 Calculate the remainder when 7535102 is divided by 3767499. 104 What is the remainder when 888472 is divided by 28? 4 What is the remainder when 1029853 is divided by 1029839? 14 Calculate the remainder when 24426961 is divided by 240. 1 Calculate the remainder when 167198 is divided by 33419. 103 Calculate the remainder when 27760982 is divided by 1402. 1382 Calculate the remainder when 64030 is divided by 8262. 6196 What is the remainder when 438065311 is divided by 16? 15 Calculate the remainder when 7266130 is divided by 802. 10 What is the remainder when 113651 is divided by 1307? 1249 Calculate the remainder when 24219 is divided by 11581. 1057 What is the remainder when 5285718 is divided by 1030? 788 Calculate the remainder when 34291 is divided by 16644. 1003 Calculate the remainder when 11119360 is divided by 300523. 9 Calculate the remainder when 18388483 is divided by 813. 49 What is the remainder when 246587 is divided by 49298? 97 What is the remainder when 3714695 is divided by 18? 17 What is the remainder when 1521551 is divided by 333? 74 What is the remainder when 73729345 is divided by 2120? 2105 What is the remainder when 2065833 is divided by 24586? 609 Calculate the remainder when 10285031 is divided by 178. 13 Calculate the remainder when 140104 is divided by 34947. 316 What is the remainder when 989304 is divided by 558? 528 What is the remainder when 1113858 is divided by 222770? 8 What is the remainder when 6035384 is divided by 7202? 108 What is the remainder when 473517 is divided by 8601? 462 Calculate the remainder when 400447 is divided by 44493. 10 Calculate the remainder when 6316420 is divided by 15. 10 What is the remainder when 842471 is divided by 972? 719 What is the remainder when 422078 is divided by 8978? 112 What is the remainder when 113819 is divided by 6749? 5835 What is the remainder when 475035 is divided by 785? 110 Calculate the remainder when 310250 is divided by 292. 146 What is the remainder when 245196 is divided by 866? 118 What is the remainder when 34969796 is divided by 9298? 18 Calculate the remainder when 865419 is divided by 75. 69 What is the remainder when 2135879 is divided by 1224? 1223 What is the remainder when 86836 is divided by 21584? 500 What is the remainder when 2030314 is divided by 107? 96 What is the remainder when 266694 is divided by 133345? 4 What is the remainder when 54302 is divided by 537? 65 Calculate the remainder when 1205871 is divided by 96. 15 What is the remainder when 2776426 is divided by 2139? 4 Calculate the remainder when 46868471 is divided by 6368. 6359 What is the remainder when 544425 is divided by 652? 5 Calculate the remainder when 55304 is divided by 7719. 1271 What is the remainder when 10453882 is divided by 83631? 7 Calculate the remainder when 431954 is divided by 86387. 19 What is the remainder when 654118 is divided by 130823? 3 What is the remainder when 185097 is divided by 6381? 48 Calculate the remainder when 33781901 is divided by 152. 53 What is the remainder when 45562458 is divided by 39? 6 What is the remainder when 1789343 is divided by 981? 980 Calculate the remainder when 30177981 is divided by 40077. 0 What is the remainder when 436868 is divided by 11486? 400 Calculate the remainder when 1970761220 is divided by 8723. 8722 What is the remainder when 512752 is divided by 571? 565 Calculate the remainder when 63540377 is divided by 135. 62 What is the remainder when 422432111 is divided by 3? 2 What is the remainder when 39840180 is divided by 97171? 70 What is the remainder when 796846 is divided by 208? 206 What is the remainder when 70661 is divided by 105? 101 Calculate the remainder when 18984733 is divided by 518. 33 What is the remainder when 1626616 is divided by 46? 10 Calculate the remainder when 8550150 is divided by 9427. 9288 Calculate the remainder when 123275 is divided by 44. 31 Calculate the remainder when 4480652 is divided by 10001. 204 What is the remainder w
{ "pile_set_name": "DM Mathematics" }
. Suppose b = -5*g + 2*b + 23, 4*g - b = x. Is g a multiple of 2? True Let q be 32/(-20)*(-15)/6. Suppose 4*i + 3*x - 165 = 0, -21 = -2*i + q*x + 89. Is i a multiple of 15? True Let n be 1 - (0 + 2) - -6. Suppose 5*h + 3*c = 12 + 25, -2*h + 14 = c. Is 2/h*n*4 a multiple of 6? False Let x(n) = n**3 + 13*n**2 + 3*n - 25. Is x(-12) a multiple of 14? False Suppose q = -q - 4*c - 4, 2*c + 2 = 3*q. Suppose q*h = 4*h. Is ((-12)/(-1))/(h + 1) a multiple of 12? True Let n(w) = 12*w + 36. Is n(5) a multiple of 7? False Let u(j) = -j**3 + 11*j**2 - 3*j - 5. Is 34 a factor of u(9)? False Suppose 2*x - 116 = -4*l, 0 = -3*x - 2*x + 3*l + 264. Does 6 divide x? True Let s = -25 - -37. Is s a multiple of 9? False Suppose 132 = 2*r + 100. Does 2 divide r? True Let o = 99 - 15. Does 28 divide o? True Let v(t) = 2*t**2 - 15*t - 1. Is 3 a factor of v(8)? False Does 17 divide (-239)/(-7) - 8/56? True Let u(l) = -3*l**3 - 3*l**2 + 2*l - 1. Let y(m) = -m - 7. Let n be y(-10). Suppose 3*h + 21 = -n*j, -3*h + 5*j + 3 + 8 = 0. Is 18 a factor of u(h)? False Is 29 a factor of (-4)/(-10) + 4504/40? False Suppose -5*a + 204 = -6. Is 21 a factor of a? True Let p(w) = -6*w - 4. Does 4 divide p(-4)? True Let k(q) be the first derivative of -q**4/4 + 2*q**3 - 3*q**2/2 - 4*q + 1. Let c be k(5). Is ((-16)/c)/(6/(-9)) a multiple of 3? False Let d = 16 - 19. Is 4 a factor of 1 + (2 - -20) + d? True Let i be (-1*2)/((-2)/17). Let x be i + 0 + (2 - 0). Does 11 divide x + (-2)/(-1) - -2? False Let w(f) be the second derivative of -f**4/12 + f**3/2 + 7*f**2/2 + 2*f. Let b be w(5). Does 18 divide (-79)/b + (-2)/(-3)? False Let l(u) = -2*u + 2. Let z be 4/10 + 164/(-10). Let w = z + 9. Does 10 divide l(w)? False Let w(c) = -c - 5. Let l be w(5). Let v = l - -7. Does 4 divide (-1)/(v/6)*5? False Let q(y) = 9*y**2 + 2*y. Let l = -5 + 3. Let i be q(l). Suppose -j + 2*j - i = 0. Does 16 divide j? True Suppose 0 = 4*b + 12, 5*z + b - 69 = -7. Is z a multiple of 12? False Let o = -3 + 5. Let w(y) be the second derivative of y**4/12 - y**3/3 + 3*y**2/2 - y. Is w(o) a multiple of 3? True Let j = -141 + 217. Does 14 divide j? False Let a(s) = 143*s + 4. Does 21 divide a(1)? True Suppose 0 = 3*d + d - 64. Is d a multiple of 5? False Let c(o) = o**2. Let r be c(2). Let s = 4 + r. Suppose -2*f + 9 = -5*b - 17, s = -2*b. Is 2 a factor of f? False Is 578/5 - (-20)/50 a multiple of 30? False Suppose 3*a + 3*u - 87 = 0, -3*a + 5*u + 115 = u. Is 33 a factor of a? True Let u = -5 + 2. Let f(g) = -11*g + 3. Is 12 a factor of f(u)? True Let c = 114 + -78. Is c a multiple of 9? True Let g(u) = 5*u**2 - 16*u. Let x(n) = -n**2. Let t(i) = -g(i) - 4*x(i). Is t(9) a multiple of 21? True Let o(p) = 62*p**3 + 2*p - 1. Is o(1) a multiple of 23? False Let j be (-70)/(-22) - (-8)/(-44). Suppose 2*d - 3*d = -l - 13, -5*l = -j*d + 49. Is 8 a factor of d? True Suppose -166 - 37 = -t. Does 40 divide t? False Let i(w) = 2*w**2 + 4*w - 1. Let d be i(-3). Suppose k - 82 = d*a, -206 = -k - 2*k + 5*a. Is k a multiple of 31? True Let j(u) be the second derivative of u**4/6 + 2*u**3/3 + u**2 + 11*u. Is 12 a factor of j(5)? True Let w be ((-4)/6*-3)/1. Suppose 3*k = -13 + 4. Is 5 a factor of (w/1 - k) + 0? True Let p = 149 - 63. Does 17 divide p? False Let n be 1/2 + 6/4. Suppose n*v - 57 = -1. Does 19 divide v? False Suppose 0 = -10*z - z + 913. Is 7 a factor of z? False Suppose -4*a - 2*c + 0*c + 72 = 0, 3*c - 13 = -a. Does 19 divide a? True Let w(o) = -4*o**3 - 14*o**2 - 14*o + 12. Let c(z) = z**3 + z**2 + z. Let i(u) = 5*c(u) + w(u). Does 12 divide i(10)? False Suppose -260 = -4*v - 4*t, 165 = 2*v + 3*t + 39. Let n = -17 + v. Does 14 divide n? False Does 6 divide 54 - ((-2)/6 + (-35)/(-15))? False Let y be (-22 + 2)*1*-2. Suppose y = 4*w - 3*w. Is 14 a factor of w? False Suppose 4*p = u + p - 10, u - 5*p = 14. Let s = -2 + u. Suppose -s*k + 4 = 0, j - 3*k - 42 = -3*j. Is 6 a factor of j? True Suppose -22 = -s + 20. Does 14 divide s? True Suppose -212 = -4*z + 2*f, 3*f + 2*f + 152 = 3*z. Is 3 - (-5)/(15/z) a multiple of 4? False Let o = 33 + -14. Does 5 divide o? False Suppose -1 = -o + 2. Let n = 10 + -4. Let c = n - o. Is 3 a factor of c? True Let q be (-5 - (3 + -5)) + 8. Let y = q - 9. Is 26 a factor of ((-52)/(-3))/(y/(-6))? True Let u(h) = h + 33. Let y(d) = -1. Let a(j) = u(j) - 3*y(j). Is 10 a factor of a(0)? False Suppose 2*c - k = -0*k + 16, -2*k + 18 = c. Suppose -4*a = a - c. Is a even? True Let o(g) = 3*g**2 + 8*g + 4. Let s be o(-7). Let p = -61 + s. Is 17 a factor of p? True Let j be 2/(-6)*-3 - -8. Let l be 1*(2 + -2)/2. Suppose l*x = 3*x - j. Is 3 a factor of x? True Suppose -o - 6 = -106. Does 8 divide 1/3 + o/6? False Let u(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2 - j + 2. Let c be u(3). Suppose c*w = 13 + 3. Is w a multiple of 8? True Let a be -1 - (-3)/((-9)/(-30)). Suppose -2*m = -43 - a. Suppose -2*d + m = -0*d. Does 5 divide d? False Let p(v) = 3*v**2 - 6*v - 1. Is p(-7) a multiple of 47? True Let i(c) = c**3 - 7*c**2 - 1. Let v be i(7). Let d(r) = 24*r**2 + r + 1. Does 20 divide d(v)? False Let k(j) = 5*j + 5. Let d be k(6). Suppose -d = -3*p - 2*b + b, 0 = 3*b - 6. Is p a multiple of 9? False Let f(o) = -2*o**3 - o**2 + o - 1. Is 3 a factor of f(-2)? True Let z(f) = -f**3 - 4*f**2 - 2*f + 4. Let c = 8 + -12. Is z(c) a multiple of 4? True Let r(d) = -10*d. Is 5 a factor of r(-1)? True Let c = -6 - -10. Does 4 divide c? True Suppose 2*v + 3*v - 20 = -4*h, -2*h + 22 = 4*v. Let q(k) = 4*k - 2. Is q(v) a multiple of 10? True Suppose 0*k + 3*k + 57 = 0. Let s = -3 - k. Does 8 divide s? True Let r = -12 - -21. Is 15 a factor of (-266)/(-18) - (-2)/r? True Let s(p) be the first derivative of 2*p**3/3 + 7*p**2/2 + 2*p + 1. Let q be s(-5). Let l = q - -8. Is 9 a factor of l? False Let n(d) = 5*d**2 + 2*d. Let k be (-10)/3 - (-3)/9. Does 13 divide n(k)? True Suppose -3*w = -4*w + 140. Is w a multiple of 26? False Let n = 110 - -46. Does 26 divide n? True Let t(z) = -z**3 + z**2 - z + 4. Let h be t(0). Suppose 4*p - 3 = h*c - 59, -5*c + 38 = 3*p. Does 10 divide c? True Let m(y) = -2*y**2 + 33*y + 13. Let t be m(17). Suppose 0 = -2*i - 8 + 56. Is 3 a factor of 66/i - 1/t? True Let g be 0 - (7 + 3/(-3)). Let s = g - -9. Suppose -h - s = -0*h, 0 = -2*f - 4*h + 92. Is 18 a factor of f? False Let c(i) = i**2 + i + 2. Let p be c(0). Let r be p/5 + (-66)/(-10). Suppose 3*g - 5 = r. Is 3 a factor of g? False Let r(k) = 6*k**3 + 4*k**2 - 5*k + 3. Let p(d) = -5*d**3 - 3*d**2 + 5*d - 3. Let t(w) = -5*p(w) - 4*r(w). Let f be t(3). Let y = 1 + f. Is y a multiple of 3? False Is 24*(1/(-2) + 95/20) a multiple of 7? False Suppose -3*g - 1 = -94. Is g a multiple of 10? False Suppose -1 = -h + 1. Suppose 6*w - h*w + 4*j = 84, -2*w - 5*j + 48 = 0. Does 19 divide w? True Let l(f) = f**3 - 5*f**2 - 3*f - 4. Suppose 0 = -7*j + 2*j - b + 55, 3*b + 15 = 0. Let x be 32/6 - j/(-18). Is l(x) a multiple of 5? False Let u(n) = 7*n - 10. Let m be u(8). Suppose 4*k = m + 14. Does 13 divide k? False Let d(c) be the third derivative of c**5/12 - c**3/3 + 5*c**2. Is d(3) a multiple of 10? False Let s be ((-2)/2)/((-2)/196). Suppose 2*b + 2*j + 2*j - 176 = 0, -4*j + s = b. Suppose b = 3*q + 6. Is 12 a factor of q? True Suppose -2 = -0*v - v. Suppose -3*c + v*c + f = -20, -5*f - 40 = -2*c. Does 4 divide c? True Let s(a) = a**2 + a - 4. Let j be s(-3). Suppose -65 = -3*z - j*z. Is z a multiple of 13? True Let g = 215 + -147. Suppose -2*v = -4*l + g, 3*l = -l - 5*v + 54. Does 8 divide l? True Let l be (8/14)/((-2)/(-7)). Let g(z) = 3*z**3 - 2*z**2 + 2*z - 1. Is 19 a factor of g(l)? True Suppose -16*r = -13*r - 834. Does 9 divide r/10 - (-8)/(-10)? True Suppose -5*a - 2*x + 96 = -13, 2*a - 3*x = 36. Does 5 divide a? False Let n be (-96)/(-15) + (-2)/5. Suppose t = 0, -2*t = -3*r - n*t + 39. Is 9 a factor of r? False Let p(n) = 2*n + 50. Is 14 a factor of p(0)? False Suppose 2*v + 0 = p + 2, -10 = 5*p - 5*v. Is 11 a factor of (-2 - p - -11)*3? True Suppose 0 = -5*j + 31 + 9. Let x(a) = -a**2 + 9*a + 9. Is x(j) a multiple of 5? False Let m(n) be the second derivative of 2*n + 1/6*n**3 + 0 + 7*n**2. Is 4 a factor of m(-6)? True Let q(l) = -l**2 - 8*l + 1. Let r be q(-8). Let j be 32 - -2*r/(-2). Suppose 2*a = 4*a + 3*f - j, 2*f = 2*a
{ "pile_set_name": "DM Mathematics" }
r. Give v(-4). -3 Let h(n) be the third derivative of -n**5/30 + 7*n**4/24 - 5*n**3/6 + 3*n**2. Let g = -1 + 3. Suppose g*z - 5*z + 12 = 0. Calculate h(z). -9 Let y(l) be the first derivative of l**2/2 + 5*l - 2. Let i be ((5 - 2)/3)/(1/(-6)). Give y(i). -1 Let y(r) be the third derivative of -5*r**4/24 + 2*r**2. Let m be 1 + (-2 - (1 + -1)). Give y(m). 5 Let v(i) = i + 2. Let f(q) = -1. Suppose -8 = 3*a - 7*a. Let h(g) = a*v(g) - 2*f(g). Calculate h(-5). -4 Let t be 4/6 + 38/6. Let j = 19 - t. Suppose 4*m - 4*s = -0*m + j, -4*s - 6 = -3*m. Let o(a) = a**3 - 6*a**2 - a + 7. What is o(m)? 1 Let h(c) = -12*c**3 - c**2 - 2*c - 1. Let l = 6 + -3. Suppose -2*y - l*y + 2*s = 3, -2*y + 3*s + 1 = 0. Determine h(y). 12 Let j(z) = 0*z**2 + 0*z**2 - z**3 - 1 - 4*z**2 - 4. Let w(k) = -2*k + 4. Let l be w(3). Let u be (3/l)/((-3)/(-8)). Calculate j(u). -5 Let h(t) = 3*t - 2. Let o(r) = r + 7. Let q be o(-5). What is h(q)? 4 Let a be 1/3 - 5/(-3). Let u(r) = 2*r**2 - 2*r**a + 2*r**2. Let n = -1 + 2. What is u(n)? 2 Suppose -5*k + 2*m = 5*m - 10, 4*k = 2*m + 8. Let q(c) = c**3 - c**2 + 3*c - 3. Calculate q(k). 7 Let r(z) be the second derivative of -z**3/6 - z**2/2 + 6*z + 1. Let i be 1 + (-1)/(-2 - -1). Let c(o) = -3*o - 4. Let s(h) = i*r(h) - c(h). Determine s(-6). -4 Let m(t) be the third derivative of -t**5/60 + 5*t**4/24 - t**3/6 + 15*t**2. What is m(3)? 5 Let z(o) = 818 - 823 - 2*o**2 - 8*o**2 + 9*o + o**3. Give z(9). -5 Suppose -3*y + 18 = -6*y. Let q(c) = 7*c**2 + 4*c - 3. Let h(f) = 6*f**2 + 4*f - 3. Let g(d) = 6*h(d) - 5*q(d). What is g(y)? 9 Suppose 0 = -5*f + 4*w - 5, -4*w + w = 0. Let m(p) = 14*p - 4. Let a(r) = 5*r - 1. Let k(c) = -7*a(c) + 2*m(c). Calculate k(f). 6 Let r = -45 - -52. Let n(s) = s**3 - 7*s**2 - 3*s + 10. Determine n(r). -11 Let v(b) = b**3 + 3*b**2 - 3*b + 3. Let x(o) = -o**3 - 2*o**2 + 2*o - 2. Let t(k) = -3*v(k) - 2*x(k). Give t(-6). 1 Let u = -28 + 28. Let n(c) be the second derivative of u - 1/12*c**4 + 1/3*c**3 + 2*c + c**2. Give n(4). -6 Let s(c) = -c**2 + 8*c - 4. Let p(r) = 3*r**2 + 4*r + 3. Let h be p(-2). What is s(h)? 3 Let o(t) = -7*t + 0 - 1 + t. Let h(g) = -g**3 - 9*g**2 - 9*g - 9. Let d be h(-8). Calculate o(d). 5 Let s(h) = 7*h + 4. Let a(z) = -4*z - 2. Let g(n) = -11*a(n) - 6*s(n). Give g(5). 8 Let j(f) = -7*f - 1. Let n(h) = 11*h - 5. Let m(o) = 5*o - 2. Let g(w) = 5*m(w) - 2*n(w). Let y(d) = -5*g(d) - 2*j(d). Determine y(-2). 4 Let y = 11 - 7. Suppose y*p + 0*l = 2*l + 6, -5*l = p - 18. Let s(f) = -p*f**3 + 6*f - 2*f**3 + 0 + 6*f**3 - 6*f**2 + 6. Give s(5). 11 Let h(y) = -y**2 - 2*y + 20. Let x be h(-6). Let r(z) = z + 8. Determine r(x). 4 Let w = 5 + 1. Let p(n) = -n**3 + 5*n**2 + 6*n + 4. Let i be p(w). Let l(y) = 2 + 11*y - i*y - 4 + 4*y**2 - y**3. What is l(5)? 8 Suppose -3*p + l - 3 = 4, -14 = 5*p - 4*l. Let n(w) = -2*w - 1. Calculate n(p). 3 Let x(t) be the second derivative of t**4/6 + t**3/6 + 7*t**2/2 - 3*t. Let j(z) be the first derivative of x(z). Give j(3). 13 Suppose 4*p - 8 - 48 = 0. Let l = -10 + p. Let z(y) = 0*y + l*y - 3*y - 2*y + 1. Determine z(5). -4 Let m(n) be the second derivative of n**3/6 + n. Let s = -11 - -9. Calculate m(s). -2 Let h = 104 + -110. Let m(a) = -a**3 - 7*a**2 - 5*a. Give m(h). -6 Suppose -4*f + 2 = -3*f. Let d be (15 - 1)*(-1)/(-2). Suppose 4*z - 13 = p, p = -z + f*z - d. Let j(w) = -w**2 - 5*w + 7. What is j(p)? 7 Let o(v) = 1 - 6*v + 8*v + 7*v. What is o(-1)? -8 Suppose -5*k + 4 = 14. Let s(p) = 8*p + 1. Let w(u) = u. Let i(f) = k*s(f) + 14*w(f). Give i(-3). 4 Let o(d) = -4*d**2 - d - 1. Let a be o(-1). Let r = a + 6. Let g(u) = u**3 - u**2 - 2. Give g(r). 2 Let o = -12 + 17. Let z(i) = i - 3. Let v be z(o). Suppose -7*l = -v*l + 15. Let c(b) = b - 1. Calculate c(l). -4 Let l(a) be the second derivative of a**6/360 + a**5/120 - a**4/24 + a**3/2 + 3*a. Let m(v) be the second derivative of l(v). Determine m(2). 5 Let h be (2 - 2)/(2 + -1). Suppose h = -2*c + c - 5. Let a(y) be the second derivative of -y**3/6 + 3*y**2/2 - y. What is a(c)? 8 Let c(r) = -r + 3. Let f be (1/((-2)/4))/(-1). What is c(f)? 1 Let v be (-3 - -3 - -2)*-1. Let n(s) be the second derivative of -s**4/6 + s**3/6 + s. Determine n(v). -10 Let m(r) = r**2 + 8. Let a be (-11)/(-5) - (-1)/(-5). Suppose -6 = -3*j - 0. Let n = j - a. Determine m(n). 8 Suppose -3*x - 4*f = -7, -5*x - 8 = 2*f - 1. Let q(a) = -4. Let j(u) = -u - 1 + 0 + 6. Let v(i) = x*j(i) - 4*q(i). Calculate v(2). 7 Let c = 25 - 17. Suppose c = b + 3*b. Let h = -5 + b. Let o(m) = -m**2 - 5*m - 1. Give o(h). 5 Let y be ((-4)/(-6))/(2*(-2)/(-6)). Let o be 8/(-6)*(-6)/4. Let l(h) = 0*h**o + 0*h**2 - 3*h**2. Calculate l(y). -3 Suppose -4*r + 12 = 3*d + d, 0 = 4*d + 3*r - 13. Let q(w) = -4 - 203*w + 110*w + 95*w. Calculate q(d). 4 Let c(g) be the third derivative of -g**6/120 - 7*g**5/60 - 5*g**4/24 + 5*g**2. What is c(-6)? -6 Let u = -8 - -11. Let c be (-6)/(4/2)*-1. Let o(q) = 1 + 0 + q**3 + 4*q - 5*q**3 + 3*q**c. Determine o(u). -14 Let v(c) be the first derivative of c**4/4 - 2*c**3/3 + c**2/2 - c - 1. Let r(n) = 6*n + 1. Let w be r(-1). Let u be (-6)/w*(-35)/(-14). What is v(u)? 11 Let g(y) be the first derivative of y**4/2 - 2*y**3/3 - 3*y**2/2 - 3*y + 13. Determine g(3). 24 Let f(t) = 6*t. Suppose -z = -1 - 0. Suppose z = 4*p - 5*n, 4*n = 2*p - 1 - 1. What is f(p)? -6 Let m(y) = y**2 + 4*y - 6. Suppose 0*c - 25 = p + 5*c, 4*p = -2*c - 28. Let x be m(p). Let u(g) = 2*g**2 - g - 1. What is u(x)? 2 Let r(w) = -w**2 - 9*w - 8. Let j(i) = i + 15. Let h be j(-6). Suppose 2*m - v = -h, m - 7*v = -2*v + 18. Give r(m). 6 Let n = 6 - 11. Let w = n - -9. Let i(z) = z**3 - 9*z**2 + 3*z - 1. Let r(u) = u**3 - 10*u**2 + 3*u - 2. Let t(l) = 5*i(l) - 4*r(l). What is t(w)? -1 Let m(j) be the third derivative of j**8/6720 - j**7/630 - 7*j**6/720 + j**5/30 - j**4/8 - 2*j**2. Let c(u) be the second derivative of m(u). Calculate c(5). -6 Let n(d) = -d**3 - d. Let p be n(-1). Let v be (-4)/(-6)*3 - 0. Let o(s) = 6*s + v - 2*s - s + 0. Give o(p). 8 Let u(i) = -2*i + i - 1 + 2 + 4*i. Let t(p) = 4*p. Suppose -3*n = -2*n - 4. Let l(h) = n*t(h) - 5*u(h). Determine l(5). 0 Let y(m) = -m + 2. Let x = -9 + 6. Let n be (-3 - -1) + x + 2. Determine y(n). 5 Let j(w) = w**2 - w - 2. Suppose 4*f + 4 = 32. Let c be (f/14)/(2/(-8)). What is j(c)? 4 Let b(o) = o**3 - 4*o**2 - 7*o + 1. Let i(w) = 2*w**3 - 9*w**2 - 15*w + 3. Let t(k) = 5*b(k) - 2*i(k). Calculate t(4). 11 Let y(k) = -k**3 - 2*k**2 + k - 1. Let l be y(-2). Let o(n) = n**2 + 1. Calculate o(l). 10 Suppose -5*v - 48 = -v. Let l(z) = z**3 + 11*z**2 - 13*z - 9. Let r be l(v). Let h(i) = 2*i**2 - 4*i - 1. What is h(r)? 5 Let i(p) = p. Let w be i(-7). Let a(u) be the first derivative of -u**2/2 - 7*u - 4. Give a(w). 0 Let i(j) = j**2. Let t be (-3*1 - 0)*-2. Suppose 3*u = -0*u + 5*s + 24, t = 5*u + 3*s. Suppose -3*f + 9 = -3*g, -u*g + 4*f = -6*g - 2. Give i(g). 4 Let x(z) be the first derivative of z**2 + z + 4. Let w(o) = o**2 - 5*o - 7. Let a be w(5). Let d(f) = f**3 + 6*f**2 - 7*f - 1. Let s be d(a). Determine x(s). -1 Let l(w) = -w**2 - 4*w + 5. Let a(j) = 2*j**2 + 5*j - 6. Let m(y) = -6*y**3 + y**2 + 2*y + 1. Let o be m(-1). Let c(s) = o*a(s) + 7*l(s). Determine c(1). 6 Let i(d) = d**3 + d**2 + 3*d + 3. Suppose 3*s + 2 = 2*s - 3*j, -3*j - 10 = 5*s. Give i(s). -7 Suppose -y + 24 = 2*y. Let r be (y + -8)*(-2)/4. Let j(d) be the third derivative of -d**6/120 + d**5/60 - 5*d**3/6 + d**2. Give j(r). -5 Let b(a) = -1. Let d(f) = -f - 1. Let i(n) = -5*b(n) + 2*d(n). Calculate i(5). -7 Let l = -62 + 61. Let n(k) be the third derivative of -k**5/10 - k**3/6 + k**2. What is n(l)? -7 Let z(i) = 2 - 4*i**2 + 4 - 2*i**2 + i - 7. Calculate z(1). -6 Let j(b) = -5*b**3 + 3*b + 1. Let q(v) = -v**3 - v**2. Let c(y) = -j(y) + 4*q(y). Let i(f) = -4*f. Let n be i(-3). Let s = 16 - n. What is c(s)? -13 Suppose 0 = 4*v + 9 - 21. Let k(g) = 13*g**3 - 7*g**2 + 3*g + 25. Let h = 4 + -6. Let m(y) = -3*y**3 + 2*y**2 - y - 6. Let q(z) = h*k(z) - 9*m(z). What is q(v)? 4 Suppose -3*h + 6 + 0 = 0. Let f(n) = n - 4 + 6 - 3 - h*n**2. What is f(1)? -2 Let p(x) = -x**3 - x**2 + 3*x + 3. Let z = 7 - -1. Let t(u) = -u**3 + 8*u**2 - 3. Let r be t(z). Calculate p(r). 12 Let i(b) = 0*b + 12 - 10 - 4*b - b**2 + 4*b**2. Let a be i(2). Let z(s) = 2 + a
{ "pile_set_name": "DM Mathematics" }
2*u - 29 What is the b'th term of 345, 676, 993, 1290, 1561, 1800? -b**3 - b**2 + 341*b + 6 What is the o'th term of 4127, 8271, 12425, 16595, 20787, 25007, 29261, 33555? o**3 - o**2 + 4140*o - 13 What is the c'th term of 5085, 10171, 15257, 20343? 5086*c - 1 What is the f'th term of 15, 41, 107, 231, 431, 725? 3*f**3 + 2*f**2 - f + 11 What is the j'th term of -3402, -3401, -3400? j - 3403 What is the r'th term of -248, -224, -188, -146, -104, -68? -r**3 + 12*r**2 - 5*r - 254 What is the g'th term of -2988, -2982, -2976, -2970, -2964, -2958? 6*g - 2994 What is the f'th term of -52, -46, -18, 44, 152, 318? 2*f**3 - f**2 - 5*f - 48 What is the s'th term of 1356, 1348, 1340, 1332? -8*s + 1364 What is the q'th term of -137, -164, -193, -224, -257, -292, -329? -q**2 - 24*q - 112 What is the p'th term of 107, 127, 181, 287, 463, 727, 1097, 1591? 3*p**3 - p**2 + 2*p + 103 What is the n'th term of -113, -110, -107, -104, -101? 3*n - 116 What is the o'th term of 35, 70, 105, 140? 35*o What is the p'th term of -41, -20, 5, 34, 67, 104, 145? 2*p**2 + 15*p - 58 What is the o'th term of 107, 115, 137, 179, 247, 347, 485? o**3 + o**2 - 2*o + 107 What is the i'th term of 327, 2672, 9037, 21432, 41867, 72352, 114897, 171512? 335*i**3 - 8 What is the a'th term of -8, -28, -62, -110, -172? -7*a**2 + a - 2 What is the x'th term of 6218, 6216, 6214, 6212, 6210? -2*x + 6220 What is the o'th term of -10, -58, -124, -214, -334, -490, -688? -o**3 - 3*o**2 - 32*o + 26 What is the z'th term of -65, -128, -181, -218, -233? z**3 - z**2 - 67*z + 2 What is the z'th term of 40, 43, 46? 3*z + 37 What is the q'th term of -103, -122, -139, -154, -167, -178? q**2 - 22*q - 82 What is the n'th term of 3773, 3751, 3715, 3665, 3601, 3523, 3431? -7*n**2 - n + 3781 What is the x'th term of -25, -228, -779, -1852, -3621? -29*x**3 + 4 What is the d'th term of 68, 100, 178, 326, 568? 4*d**3 - d**2 + 7*d + 58 What is the o'th term of 1720, 3439, 5158? 1719*o + 1 What is the h'th term of -27, -54, -79, -102, -123? h**2 - 30*h + 2 What is the d'th term of -154, -653, -1494, -2677? -171*d**2 + 14*d + 3 What is the g'th term of -56, -126, -196, -266? -70*g + 14 What is the j'th term of -23789, -23787, -23783, -23777? j**2 - j - 23789 What is the r'th term of -20, -51, -96, -149, -204, -255, -296? r**3 - 13*r**2 + r - 9 What is the c'th term of -6, -4, 8, 36, 86, 164, 276? c**3 - c**2 - 2*c - 4 What is the q'th term of -5, -18, -49, -104, -189, -310? -q**3 - 3*q**2 + 3*q - 4 What is the f'th term of 6787, 6788, 6789, 6790, 6791, 6792? f + 6786 What is the u'th term of 19, 8, 5, 16, 47, 104? u**3 - 2*u**2 - 12*u + 32 What is the w'th term of -56, -132, -326, -698, -1308, -2216, -3482, -5166? -10*w**3 + w**2 - 9*w - 38 What is the h'th term of 2, -7, -10, -1, 26, 77, 158? h**3 - 3*h**2 - 7*h + 11 What is the j'th term of 84, 152, 220, 288, 356, 424? 68*j + 16 What is the d'th term of -8315, -8314, -8313, -8312, -8311? d - 8316 What is the j'th term of -48, -99, -152, -207? -j**2 - 48*j + 1 What is the g'th term of 2, 17, 32, 47, 62, 77? 15*g - 13 What is the f'th term of 28, -29, -86, -143, -200, -257? -57*f + 85 What is the w'th term of 39, 49, 59, 69? 10*w + 29 What is the b'th term of 68, 37, 8, -19, -44, -67, -88? b**2 - 34*b + 101 What is the f'th term of 105, 988, 3383, 8046, 15733? 126*f**3 + f - 22 What is the t'th term of -3286, -3285, -3284, -3283? t - 3287 What is the v'th term of 41, 73, 111, 161, 229? v**3 - 3*v**2 + 34*v + 9 What is the n'th term of 54, 87, 140, 213, 306? 10*n**2 + 3*n + 41 What is the t'th term of -98, -196, -292, -386? t**2 - 101*t + 2 What is the r'th term of 14, 40, 92, 182, 322? 2*r**3 + r**2 + 9*r + 2 What is the z'th term of 33, 61, 89, 117, 145? 28*z + 5 What is the i'th term of -379, -1472, -3299, -5866, -9179? -i**3 - 361*i**2 - 3*i - 14 What is the w'th term of -16, 0, 50, 140, 276, 464, 710, 1020? w**3 + 11*w**2 - 24*w - 4 What is the l'th term of 337, 336, 335, 334? -l + 338 What is the q'th term of -51, -88, -127, -168? -q**2 - 34*q - 16 What is the m'th term of -2657, -2659, -2661? -2*m - 2655 What is the r'th term of 5, -38, -81, -124? -43*r + 48 What is the m'th term of 16, 30, 42, 52, 60, 66, 70? -m**2 + 17*m What is the r'th term of -21, -61, -127, -219? -13*r**2 - r - 7 What is the f'th term of -8, -1, 30, 97, 212, 387? 2*f**3 - 7*f - 3 What is the q'th term of -372, -741, -1108, -1473, -1836? q**2 - 372*q - 1 What is the p'th term of 27, 81, 157, 261, 399, 577, 801? p**3 + 5*p**2 + 32*p - 11 What is the b'th term of -2122, -4246, -6370, -8494, -10618, -12742? -2124*b + 2 What is the a'th term of 65, 75, 93, 119, 153? 4*a**2 - 2*a + 63 What is the m'th term of 6, -11, -62, -165, -338, -599? -3*m**3 + m**2 + m + 7 What is the g'th term of -80, -161, -246, -335, -428? -2*g**2 - 75*g - 3 What is the f'th term of 129, 260, 391? 131*f - 2 What is the s'th term of -888, -3559, -8010, -14241, -22252, -32043? -890*s**2 - s + 3 What is the y'th term of 82, 310, 696, 1246, 1966, 2862, 3940? y**3 + 73*y**2 + 2*y + 6 What is the y'th term of 21, 34, 43, 48? -2*y**2 + 19*y + 4 What is the i'th term of 75, 148, 207, 246, 259? -i**3 - i**2 + 83*i - 6 What is the i'th term of -74, -161, -270, -407, -578? -i**3 - 5*i**2 - 65*i - 3 What is the n'th term of 45, 93, 141, 189, 237? 48*n - 3 What is the d'th term of 77, 91, 113, 143, 181? 4*d**2 + 2*d + 71 What is the h'th term of 3848, 7698, 11548, 15398? 3850*h - 2 What is the d'th term of -77, -73, -55, -17, 47, 143, 277, 455? d**3 + d**2 - 6*d - 73 What is the i'th term of 46, 73, 110, 163, 238, 341, 478, 655? i**3 - i**2 + 23*i + 23 What is the d'th term of -10875, -10877, -10879, -10881? -2*d - 10873 What is the k'th term of 135, 554, 1253, 2232? 140*k**2 - k - 4 What is the c'th term of 401, 459, 623, 947, 1485, 2291? 9*c**3 - c**2 - 2*c + 395 What is the v'th term of 101, 194, 287, 380? 93*v + 8 What is the n'th term of 39, 285, 961, 2283, 4467, 7729? 36*n**3 - n**2 - 3*n + 7 What is the m'th term of -217, -440, -663, -886? -223*m + 6 What is the p'th term of -10, -16, -20, -22? p**2 - 9*p - 2 What is the b'th term of 92, 81, 66, 41, 0, -63? -b**3 + 4*b**2 - 16*b + 105 What is the g'th term of 80, 333, 762, 1373, 2172, 3165? g**3 + 82*g**2 - 3 What is the u'th term of -55, -80, -115, -160, -215? -5*u**2 - 10*u - 40 What is the m'th term of -2874, -2873, -2872, -2871, -2870, -2869? m - 2875 What is the h'th term of 3414, 6827, 10240, 13653, 17066? 3413*h + 1 What is the o'th term of -235, -242, -249, -256, -263, -270? -7*o - 228 What is the s'th term of -660, -675, -700, -735, -780? -5*s**2 - 655 What is the z'th term of 1223, 2438, 3649, 4856, 6059? -2*z**2 + 1221*z + 4 What is the z'th term of -17, -167, -579, -1385, -2717, -4707, -7487, -11189? -22*z**3 + z**2 + z + 3 What is the p'th term of -3738, -3736, -3734, -3732, -3730? 2*p - 3740 What is the f'th term of 14, 16, 20, 26, 34, 44, 56? f**2 - f + 14 What is the k'th term of 14, 22, 36, 56? 3*k**2 - k + 12 What is the b'th term of -21, 27, 113, 243, 423, 659, 957, 1323? b**3 + 13*b**2 + 2*b - 37 What is the l'th term of 24, 60, 114, 192, 300, 444? l**3 + 3*l**2 + 20*l What is the j'th term of 21, 19, 17, 15, 13? -2*j + 23 What is the u'th term of -353, -1541, -3515, -6269, -9797? u**3 - 399*u**2 + 2*u + 43 What is the k'th term of 3, 31, 75, 135, 211? 8*k**2 + 4*k - 9 What is the a'th term of -16, -8, 6, 26, 52, 84? 3*a**2 - a - 18 What is the w'th term of -118, -116, -114, -112, -110? 2*w - 120 What is the w'th term of -50, -64, -70, -68, -58? 4*w**2 - 26*w - 28 What is the d'th term of -596, -595, -594? d - 597 What is the o'th term of -25, -117, -367, -853, -1653, -2845, -4507? -13*o**3 - o**2 + 2*o - 13 What is the g'th term of 2, 37, 108, 215, 358, 537, 752? 18*g**2 - 19*g + 3 What is the m'th term of 35, 54, 77, 104, 135, 170, 209? 2*m**2 + 13*m + 20 What is the z'th term of 31, 196, 639, 1498, 2911, 5016, 7951, 11854? 23*z**3 + z**2 + z + 6 What is the o'th term of 1223, 1219, 1215, 1211, 1207, 1203? -4*o + 1227 What is the v'th term of -39, -48, -73, -120, -195, -304, -453, -648? -v**3 - 2*v**2 + 4*v - 40 What is the s'th term of 82, 116, 172, 262, 398? 2*s**3 - s**2 + 23*s + 58 What is the i'th term of 467, 497, 527? 30*i + 437 What is the
{ "pile_set_name": "DM Mathematics" }
f f and 2202. 6 Suppose -13*q + 5*q = 0. Let r(c) = -9*c + 1. Let y be r(q). Suppose 3*w - 5*u = -0*u + 9, -4*u = w - 20. What is the greatest common divisor of w and y? 1 Suppose 0 = n + 6, -4*n = -226*a + 225*a + 776. What is the greatest common factor of 20 and a? 4 Let x be 326/4 - 1/(-2). Suppose 0*m + 4*t + x = 3*m, t + 118 = 4*m. Calculate the greatest common divisor of m and 285. 15 Suppose 4 = -4*f, -2*r + 5*f = -0*r - 5. Let n = r + 9. Let j(u) = u + 23. Let o be j(22). What is the highest common factor of o and n? 9 Let f(z) = 14*z + 1 + 11 + 21*z**2 + 11*z + 2*z - z**3. Let b be f(22). What is the greatest common factor of b and 61? 61 Suppose 6*t + 42 = 0, -7823 = -2*z - 0*z - 3*t. Calculate the greatest common divisor of z and 742. 106 Let r = 476 + -474. Let f be ((10 - 9)*(20 + -2))/r. Let t(j) = j**2 - 5*j + 3. Let s be t(5). What is the greatest common factor of s and f? 3 Let h(z) = 19*z**2 - 35*z + 109. Let x be h(10). Let v = x - 1002. What is the greatest common factor of 9 and v? 9 Let g(t) = 13*t**2 - 3*t - 228. Let v be g(-8). Calculate the greatest common factor of 7065 and v. 157 Let t(r) = -642*r + 354. Let a be t(-1). What is the greatest common factor of 36 and a? 12 Suppose -113 = -a - 2*x, 14*a - 11*a = -2*x + 355. Let l = 202 - a. Calculate the highest common factor of 9 and l. 9 Let w be 2 + 17 - (-37 + 46). What is the greatest common divisor of 4485 and w? 5 Suppose -5*h - 225 = -5*r, -r - h = 139 - 176. Suppose -l - 164 = -3*l. Calculate the greatest common divisor of r and l. 41 Let j(v) = -3*v**2 + 49*v + 21. Let p be j(16). Suppose -p*o + 1129 = -2497. Calculate the greatest common factor of o and 14. 14 Let a be (3/1)/(19*27/8208). Calculate the greatest common divisor of 7392 and a. 48 Let z be ((-28)/4)/(189/(-1863)). Calculate the highest common divisor of z and 115. 23 Suppose 6*f = f - 700. Let l = 212 + f. Let q be 3/(-27)*-6*12. Calculate the greatest common factor of l and q. 8 Let y(m) = -2*m + 6. Let g be (-6)/(-8) + (-16)/(-64). Let a be y(g). Calculate the greatest common factor of a and 124. 4 Let v be (6/((-6)/(-3)))/((-33)/(-286)). Let z be 9/(-5)*(-12740)/147. What is the highest common divisor of v and z? 26 Let d = -3420 + 6735. Suppose d = -50*i + 10915. What is the greatest common divisor of i and 40? 8 Suppose 4324*m = 4247*m + 17864. Let f = -9 + 17. Calculate the greatest common factor of f and m. 8 Let h(b) = 2508*b - 102432. Let y be h(41). Let o(j) = 5*j + 6. Let m be o(6). What is the greatest common divisor of y and m? 36 Let g be 7/(-1*91/(-12454)). What is the highest common factor of g and 2? 2 Let p be (395160/36)/37 + (-3)/(-9). Calculate the highest common divisor of p and 6. 3 Let r be 16/(((-308)/5782)/(-11)). Calculate the highest common divisor of 56 and r. 56 Suppose 150*o - 1146 - 1144 = -790. What is the greatest common factor of o and 20? 10 Suppose -9*h = -159 - 57. Suppose 0 = -8*q + 777 + 183. What is the greatest common factor of h and q? 24 Let t be 89 + -77 + 6/(-1) - -2084. Calculate the greatest common factor of 2310 and t. 110 Suppose -44*r + 3888 + 512 = 0. What is the greatest common factor of 800 and r? 100 Let x be 14/(-8)*(-116)/(-406)*98*-2. Calculate the greatest common factor of 34 and x. 2 Let j(g) = -2*g. Let z(s) = 25*s - 1. Let l(d) = -22*j(d) - 2*z(d). Let r = 618 + -619. Let p be l(r). Calculate the highest common factor of p and 88. 8 Let w be -11 + 2610 + (-1 - -13). Calculate the greatest common factor of w and 7. 7 Let l be (-78)/(-9)*(-99)/(-6). Let d = 257 + -224. Calculate the highest common divisor of d and l. 11 Let l(z) = -200*z**2 + 2605*z + 5. Let o be l(13). Calculate the highest common factor of o and 4270. 70 Let l(m) = -5*m**2 - 25*m + 3. Let c be l(-4). Let j = c + 17. Suppose 0 = 5*a + 5*z - 120, -3*z = 3*a - a - 52. What is the highest common factor of j and a? 20 Suppose -418 = 74*k - 93*k. What is the greatest common factor of k and 14894? 22 Let h = -413 - -429. Let q(u) = -2*u**2 + 29*u + 88. Let g be q(h). Calculate the greatest common divisor of g and 56. 8 Let n be ((-1452)/(-88))/((-2)/20). Let j = -126 - n. What is the greatest common divisor of 65 and j? 13 Suppose 5*c = 5 + 55. Let s(k) = -12*k**2 + 128*k + 16. Let m be s(7). Calculate the greatest common divisor of m and c. 12 Let o = -113 - -117. Suppose -5*w + 14 + 1 = -4*f, -o*f = 4*w - 12. What is the highest common divisor of w and 12? 3 Let k(l) = -2*l**2 - 65*l - 64. Let m be k(-28). Calculate the greatest common factor of m and 799. 47 Let c be 2698 - (19 + -6 + -16). Calculate the highest common factor of c and 333. 37 Let q = -702 + 1197. Calculate the highest common factor of 253 and q. 11 Let b be 18/(-2)*(15/(-20))/((-117)/(-156)). Calculate the highest common divisor of 801 and b. 9 Suppose -3*v = -2*j - 900, 0 = 10*v - 9*v + 3*j - 322. Calculate the highest common factor of 437 and v. 19 Suppose -r = -5*h - 12, 0 = 3*h + 4*r - 7*r. Let y be 76/(-1 - h) - 2. What is the highest common factor of 8 and y? 4 Let t = 7195 - 6784. What is the highest common factor of 3 and t? 3 Let h be 4 + (-9 + 42/4)*(-1506)/(-9). Suppose -5*a - 2*l = -l - 145, 2*l + 10 = 0. Calculate the highest common divisor of a and h. 15 Let j(w) = w**3 + 7*w**2 - 5*w + 6. Let t be j(-7). Let k = -3756 + 4945. Calculate the highest common factor of k and t. 41 Let p be (10 + -50)/(-10) - -568. What is the greatest common divisor of p and 528? 44 Let v = 2689 - 2424. Calculate the greatest common factor of 371 and v. 53 Let x(p) = p**3 + 5*p**2 - 9*p - 5. Let a be x(-6). Suppose 10*c - a*c = -15. Suppose c*d - d = 156. Calculate the greatest common factor of 13 and d. 13 Let k(u) = 3*u - 35. Let a(c) = 7*c - 69. Let d(r) = 4*a(r) - 7*k(r). Let b be d(5). Suppose 2*h = 63 - 7. What is the greatest common divisor of h and b? 4 Let d = -8041 + 8061. What is the greatest common divisor of d and 1375? 5 Let n(u) = 41*u**2 + 15*u + 26. Let m be n(10). Suppose -6*q = -m + 1066. Calculate the greatest common factor of q and 5. 5 Suppose -13*q + 12*q = -0*q - 512. What is the greatest common factor of q and 576? 64 Let t(y) = -y**2 + 42. Let i(u) = -2*u**2 - 2*u + 85. Let p(k) = 2*i(k) - 5*t(k). Let n be p(9). What is the greatest common divisor of n and 145? 5 Suppose 3*q - 5*v = 20, 5*q - 3*q + v = 22. Suppose 0 = h - 150 + 52. Suppose -3*x + h = -q. What is the greatest common divisor of 90 and x? 18 Let i = -1298 + 2013. Suppose -153 = 12*r - 374 - 439. What is the greatest common factor of r and i? 55 Let j = -40 + 400. Suppose -7*z = -13*z + j. What is the greatest common divisor of 20 and z? 20 Let y = -9684 + 19733. What is the greatest common divisor of 52 and y? 13 Suppose -4*o - 5*k - 43 = -721, 844 = 5*o + 8*k. What is the greatest common divisor of o and 301? 43 Let i = 816 + -513. Let y = -285 + i. Suppose 2*v + 0*v - 324 = 4*h, -5*v + 3*h + 810 = 0. Calculate the greatest common divisor of v and y. 18 Let u = -2 - -22. Let r(h) = -13*h + 5. Let w be r(0). What is the greatest common divisor of w and u? 5 Let u = 9310 - 7384. What is the highest common divisor of u and 9? 9 Let c = -12496 + 12553. Calculate the highest common factor of 3648 and c. 57 Let q = 7 + -1. Let o be 1 - (-2)/(q/3)*1. Suppose 0 = -3*n + 2*i + 7, o*i = 4*n - 7 - 5. What is the highest common divisor of n and 40? 5 Let j be -12*(5 + (-8)/(-24) + -9). What is the highest common divisor of j and 638? 22 Let z(r) = r**2 + 2*r - 6. Suppose -5*j + h - 20 = -0*j, 0 = -3*h - 15. Let p be z(j). Let v = -97 + 142. What is the greatest common divisor of p and v? 9 Let m be (((-108702)/(-135))/(-22))/(2/(-10)) + 9. Calculate the highest common factor of 13120 and m. 64 Let z = 261 - 258. Let v = 24 - 5. Suppose v = z*g - 113. Calculate the highest common divisor of g and 33. 11 Let l(m) = -m**2 - 44*m - 44. Let v be (-20)/4*-1*168/(-20). Let k be l(v). What is the greatest common divisor of 16 and k? 8 Let d be -3*(4/(-1) - (-1 - 2)). Suppose -r = -d, -7*r = -3*t - 10*r + 519. Suppose 0 = 3*c - t - 28. Calculate the greatest common factor of 22 and c. 22 Suppose 128*y - 129*y + 325 = 0. Let t be 16/(-152) + y/19. Calculate the greatest common divisor of 85 and t. 17 Suppose -324*m = -327*m + 741. Suppose 3
{ "pile_set_name": "DM Mathematics" }
is t rounded to three decimal places? -0.018 Let d = -43.308 + 28.52. Let c = d - -14.8. Round c to two decimal places. 0.01 Let j = -3565 - -3565.000004855. What is j rounded to seven dps? 0.0000049 Let c = -7.1019 + 7.0984463. What is c rounded to 3 decimal places? -0.003 Let r = -59.61649 - -1.40349. Round r to one decimal place. -58.2 Let o = 24 + -55. Let a = -17 - o. Let q = 17.3 - a. What is q rounded to the nearest integer? 3 Suppose 4*n + 4*m = -217920, -4*n = -6*m + 11*m + 217921. Let i = n - -103179. What is i rounded to the nearest 10000? 50000 Let b = -250 + 144. Let d = b - -59. Let p = -47.0000027 - d. Round p to six decimal places. -0.000003 Let o = -1826647.00364 - -1826736. Let f = o - 89. What is f rounded to four dps? -0.0036 Let r = -0.651 - 0.059. Let y = -13.41 - r. Let b = 12.7000163 + y. What is b rounded to five dps? 0.00002 Let d = -14698 + 14698.1183. What is d rounded to 2 decimal places? 0.12 Let j = 1418 - 1417.98745. What is j rounded to 3 decimal places? 0.013 Let m = -1.977615975 + 1.9776. Round m to 7 decimal places. -0.000016 Let d = -27837.04002 - -27837. Round d to four decimal places. -0.04 Let z = -65166.000148292 - -65166. What is z rounded to five decimal places? -0.00015 Let a = -382679929 + 382679900.99999992. Let s = -67 - -39. Let p = s - a. Round p to 7 dps. 0.0000001 Let t(g) = 170 + 193 + 20*g - 321. Let x be t(9). Round x to the nearest one hundred. 200 Let s = -5916.964 - -5928. Let c = -11.2 + s. What is c rounded to two decimal places? -0.16 Let o = -18.64 + 18.64013198. What is o rounded to five dps? 0.00013 Let o = 1736.6661 + 0.3339. Let w = -1968.7 + o. What is w rounded to the nearest ten? -230 Let n = 1274.2442 + -0.2442. Let z = 1157.8 - n. Round z to the nearest ten. -120 Let v = 97485 + -97485.41137. Round v to two decimal places. -0.41 Let h(g) = -6624596*g**3 - 2*g**2 - 3*g - 5. Let y be h(-2). Let p = -90796761 + y. What is p rounded to the nearest one million? -38000000 Let a = 12070.0000102395 - 12070. What is a rounded to seven dps? 0.0000102 Let s = 14797 + -24457.7. Round s to the nearest one thousand. -10000 Let b = -1327.999996914 - -1328. Round b to seven decimal places. 0.0000031 Let l = 10952.57 - 10934.27987. Let a = -0.08187 - l. Let s = -0.028 + a. What is s rounded to zero decimal places? -18 Let v = 11928019 - 21812519. Round v to the nearest one million. -10000000 Let a = -62.7551 - 1.0349. Let b = a + 69.5. Round b to zero decimal places. 6 Let t = -21583957 - -21584095.099357. Let r = t + -138.1. What is r rounded to five decimal places? -0.00064 Let h = -301.3 - -306.19. Round h to 0 decimal places. 5 Let s = -1.1242 - -0.666. Round s to 1 dp. -0.5 Let k = 32.896 + -32.5. Let z = k + -0.3959358. What is z rounded to five decimal places? 0.00006 Let a = 3067 - 3067.000000056. Round a to seven decimal places. -0.0000001 Suppose 5*p - 1164179 = 4*b, 0 = 66*p - 71*p - b + 1164174. Let o = -399135 + p. What is o rounded to the nearest ten thousand? -170000 Let h = 7678 - 7700.315. Let y = h - -0.215. What is y rounded to the nearest integer? -22 Let p = -0.0063 + 263.0063. Let d = p + -262.9999836. What is d rounded to 6 dps? 0.000016 Suppose 38*p - 110 = 33*p. Suppose -25*l + p*l = -6. Suppose 4*z - 3*a - 36791 = 0, 6*a - l*a - 46012 = -5*z. Round z to the nearest 1000. 9000 Let q = -3944.70476 - -3945. What is q rounded to one decimal place? 0.3 Let q = -246.32 + 246.31978342. What is q rounded to 5 dps? -0.00022 Let s = 1616234.50999979 + -1616234. Let x = -306.51 + 306. Let m = s + x. What is m rounded to seven dps? -0.0000002 Let l be (17 - 9) + 53*-23. Let q = -2276 - l. Round q to the nearest 100. -1100 Let l = -35458.5139 + 35457. Let n = -13.7999 - l. Let z = 12.4 + n. What is z rounded to two decimal places? 0.11 Suppose -385561 = -2*n - 4*i + 1515, -4*n - 2*i + 774158 = 0. Round n to the nearest 1000. 194000 Let b(a) = 130*a**2 + 194*a**2 - 75*a**2 - 21*a + 4. Let n be b(-3). Round n to the nearest 100. 2300 Let z = 38.048 - 1830.148. What is z rounded to the nearest one hundred? -1800 Let q = -42020.93324 + 41956.6. Let a = -54.933083 - q. Let x = a + -9.4. What is x rounded to four dps? 0.0002 Let c = -7622.61 + 7060. What is c rounded to the nearest integer? -563 Let m = -21721 - -21725.3316. Let d = m - 4.36. Round d to two decimal places. -0.03 Let o = -35974.00000075 + 35974. What is o rounded to 4 dps? 0 Let f = -35676657.42000046 - -35676616.42. Let v = 41 + f. What is v rounded to 7 dps? -0.0000005 Let f = 535.9843 + 0.1157. Let s = 534 - f. Round s to 1 decimal place. -2.1 Let w = -0.077617 - -43.694617. Round w to the nearest 10. 40 Let i = 1.2201 + -0.3301. What is i rounded to the nearest integer? 1 Let y = -683 + 757.6. Let r = y - 80. Let w = r + 5.400124. Round w to 5 dps. 0.00012 Let a = 13819 + -13829.095. What is a rounded to one decimal place? -10.1 Let i(p) be the third derivative of 0*p + 10/3*p**3 + 0 - 95/12*p**4 + p**2. Let o be i(18). Round o to the nearest one thousand. -3000 Suppose 409378 = 4*p - 789174. Let v be (-21)/((-4389)/33573364) - (-6)/(-57). Let h = v - p. Round h to the nearest ten thousand. -140000 Let d = -11.1 - -15. Let x = d + -18.9. Let h = 8.8 + x. What is h rounded to the nearest integer? -6 Let y = 25328 - 25333.2638. Round y to zero decimal places. -5 Let l = -85994 - -513925. Suppose u - l = 1198069. Round u to the nearest 100000. 1600000 Let c = 3449 - 1760. Let t = -1688.9999994499 + c. Round t to 7 dps. 0.0000006 Let x(v) = -2688895*v - 275. Let n be x(-45). Suppose -u + 21*u + n = 0. Round u to the nearest one million. -6000000 Let u = -289.8995926 - -289.9. What is u rounded to five decimal places? 0.00041 Let h = 37456877178 + -37440493431.107. Let g = h - 16383793.892999785. Let c = g - -47. Round c to 7 decimal places. 0.0000002 Let o(w) = 57515*w**2 - 2*w - 9. Suppose -9 = -3*l + 30. Let d be o(l). Round d to the nearest 1000000. 10000000 Let p(v) = 611*v - 46. Let z be p(5). Suppose -1671600 = 3015*r - z*r. What is r rounded to the nearest 10000? -280000 Let d = 12.248203 - -684.760807. Let a = 697 - d. Let j = -0.01 - a. Round j to four dps. -0.001 Let n = -184.530629 + 184.54. What is n rounded to four dps? 0.0094 Let n = 174 + -207.8. Let w = 207.1 + -191. Let t = n + w. What is t rounded to 0 dps? -18 Let f(r) = -76 - 70 - 3*r**2 - r**3 - 4*r + 145. Let j be f(-3). Suppose -128000 = c - j*c. Round c to the nearest 1000. 13000 Let g = -4513 + 2563. Let j = g - -1949.998747. What is j rounded to four decimal places? -0.0013 Let c = -15.25 + 31. Let p = -0.25 - c. Let o = p + 15.999999. What is o rounded to six decimal places? -0.000001 Let u = -20466 - -20465.999951956. What is u rounded to six dps? -0.000048 Let b = 4236007 + -7174607. Round b to the nearest one million. -3000000 Let n = 21 + -21.66. Let q = n - -0.6. Let l = 0.06038 + q. What is l rounded to 4 decimal places? 0.0004 Let g be (8/16 - (-79482)/60)/((-2)/(-500)). What is g rounded to the nearest ten thousand? 330000 Let v = 179 + -95. Let s = v + -129. Let r = s - -45.092. Round r to two decimal places. 0.09 Let f = -1769532 - -3750232. Round f to the nearest 10000. 1980000 Let p = -42.7 - -143.69. What is p rounded to the nearest 10? 100 Let r = 113.2 + -18.2. Let v = -109.68 + 204.95. Let d = r - v. Round d to one decimal place. -0.3 Let u(w) = w**3 - 8*w**2 + 7*w - 1. Let z be u(7). Let l(f) = -1712 + 1712 - 152*f**2 - 2*f. Let c be l(z). What is c rounded to the nearest one hundred? -200 Let j = 11042258 - 6476258. Round j to the nearest one million. 5000000 Let m = -23903 - -11198. Let s be m/75 - 6/10. Round s to the nearest ten. -170 Let a = 690 + -1128. Let g = 462.62 + a. What is g rounded to the nearest integer? 25 Suppose 26*f + 4739509 = 21*f - 3*a, 0 = 5*f - a + 4739497. Round f to the nearest one hundred thousand. -900000 Let m = 517.1 + -549. Let w = m - -32. Let r = 0.100092 - w. What is r rounded to 5 decimal places? 0.00009 Let m = 1030.682 + -1092.2. What is m rounded to zero decimal places? -62 Let c = -9.2071 + 0.4541. Round c to one dp. -8.8 Let z = -290454 + 1075654. What is z rounded to the nearest ten thousand? 790000 Let z = 857.6 - 18.6. Let m = -839.000000309 + z. Round m to seven dps. -0.000000
{ "pile_set_name": "DM Mathematics" }
w be ((-9)/m)/(1/(-10)). What is the first derivative of -4*i - 3 + 0 - w*i + i wrt i? -8 Let q(z) be the second derivative of 17*z**5/120 + z**4/6 + 5*z**3/2 + z. Let j(k) be the second derivative of q(k). What is the derivative of j(m) wrt m? 17 What is the third derivative of 2*o + 0*o - 19*o**5 - 4*o - 15*o**2 + 39*o**5 + o wrt o? 1200*o**2 Let g(o) be the third derivative of 11*o**7/210 + o**6/60 - 2*o**5/3 + 50*o**2. Find the third derivative of g(f) wrt f. 264*f + 12 Let n(y) be the first derivative of 0*y**3 + 0*y**2 + 10 + 1/2*y**4 - 16*y. What is the first derivative of n(z) wrt z? 6*z**2 Let m(g) be the first derivative of -52*g**5/5 - 71*g**2/2 + 2. What is the second derivative of m(d) wrt d? -624*d**2 Let a be -1*(2 - -1) + 10. Let q(w) = -w**2 + 5*w. Let f be q(5). Find the third derivative of n**2 + f*n**2 - a*n**6 + 4*n**2 + n**6 wrt n. -720*n**3 Let s(a) be the second derivative of -37*a**7/3 + 37*a**4/2 + a**3/3 - a - 159. Find the third derivative of s(d) wrt d. -31080*d**2 Let o(u) = -u**2 - 5*u - 2. Let b be o(-3). What is the derivative of 5*w**b - 14 - 6*w**3 + w**3 + 3*w**4 + 5 wrt w? 32*w**3 - 15*w**2 Let u be 4 - (1 - (-1 - 0/(-3))). Differentiate u - 10 - 4 + 2*c**2 with respect to c. 4*c Let x = -53 + 89. What is the third derivative of 5*v**2 + 12*v - 19*v - x*v**3 + 10*v wrt v? -216 Let b(z) be the first derivative of 19*z**2 + 19*z - 64. Differentiate b(l) wrt l. 38 Let v(y) be the first derivative of -305*y**4/4 - y**3/3 + 53*y - 30. Find the third derivative of v(q) wrt q. -1830 Let f(n) = 160*n - 52. Let x(d) = 79*d - 26. Let u(t) = 2*f(t) - 5*x(t). Find the first derivative of u(g) wrt g. -75 Let z(g) = 117*g - 152. Let i(b) = -234*b + 304. Let x(r) = -6*i(r) - 13*z(r). What is the first derivative of x(f) wrt f? -117 Let v(z) = -361*z**2 + 613*z + 30. Let g(q) = -180*q**2 + 306*q + 18. Let j(b) = 5*g(b) - 3*v(b). Find the second derivative of j(u) wrt u. 366 Find the second derivative of 39 - 39 + 143*o + 190*o**4 + 202*o**4 wrt o. 4704*o**2 What is the second derivative of 54*x**4 + 2*x - 25*x**4 + 36 - 31*x**4 + 8*x**3 wrt x? -24*x**2 + 48*x Let v(g) = -25. Let s(c) = -c + 5. Let f be s(8). Let l(u) = -u + 24. Let q(z) = f*l(z) - 2*v(z). What is the first derivative of q(x) wrt x? 3 Let d(q) be the first derivative of -q**2 - 2*q - 3. Let g be d(-3). Find the first derivative of -l**4 + 3 - g*l**4 + 4 wrt l. -20*l**3 Suppose 27*o = 25*o + 4. What is the second derivative of 9*w**4 + 12*w + 2 + 2*w**4 - o wrt w? 132*w**2 Let a(d) be the second derivative of d**4/12 - d**3/3 + 185*d**2/2 + d - 3. Differentiate a(u) with respect to u. 2*u - 2 Let u be (-63)/(-28) - 2/8. Suppose u*q = s + 12, -5*q - 3*s + 24 = -q. What is the third derivative of -7*r**2 + 10*r**q + 19*r**5 - 19*r**5 wrt r? 1200*r**3 Let q(a) be the first derivative of -2*a**7/7 - 12*a**4 - 58*a**3/3 - a**2/2 + 834. What is the third derivative of q(f) wrt f? -240*f**3 - 288 Let d(x) be the second derivative of 13*x**8/14 + x**7/21 - 6*x**4 + x**2/2 + x - 4. Find the third derivative of d(g) wrt g. 6240*g**3 + 120*g**2 Let b(h) be the third derivative of -17*h**7/14 + 287*h**4/24 + 201*h**2 + 2. Find the second derivative of b(d) wrt d. -3060*d**2 Let j be 15/(-18)*-3*2. Find the third derivative of -10*f**j + 0*f**5 + 19*f**2 + 28*f**5 wrt f. 1080*f**2 Let h(f) = -25*f**2 + 15*f. Let x = 30 - 32. Let m(a) = 12*a**2 - 8*a. Let l(p) = x*h(p) - 5*m(p). What is the second derivative of l(u) wrt u? -20 Let b = -214 - -216. Let q(v) be the first derivative of 1/3*v**3 + 0*v - 5 + 0*v**b - 5/6*v**6 + 0*v**4 + 0*v**5. Find the third derivative of q(o) wrt o. -300*o**2 Let s(v) = -6*v**4 + 26*v**3 - 7*v**2 + 125. Let h(p) = -3*p**4 + 12*p**3 - 3*p**2 + 62. Let a(m) = 7*h(m) - 3*s(m). Differentiate a(c) wrt c. -12*c**3 + 18*c**2 Let u = -49 - -148/3. Let l(p) be the second derivative of -3/2*p**2 - u*p**3 - 5*p + 0. What is the first derivative of l(f) wrt f? -2 Suppose 3*k + 4*p - 63 = 6*p, 4*k - 77 = 5*p. What is the derivative of -14*z**3 + k*z**3 - 1 + 12 wrt z? 27*z**2 Suppose -39 = -5*h + 11. Suppose -h - 8 = s + 5*t, t = -3*s + 2. What is the third derivative of 0*x**2 - 5*x**4 - 2*x**2 + 3*x**4 - 7*x**s wrt x? -48*x Differentiate 381 + 3*m + 3*m - 956*m**3 - 5*m + 902*m**3 + m with respect to m. -162*m**2 + 2 What is the second derivative of 146765 - 56*v + 8*v**2 - 146765 wrt v? 16 Suppose -p + 2*f = -4*p + 10, -10 = 4*p - 2*f. Let m(l) be the third derivative of 0 + 1/3*l**3 + 1/20*l**5 + p*l + l**2 + 0*l**4. Differentiate m(k) wrt k. 6*k Let j(u) = 23*u - 153. Let o(a) = -13*a + 76. Let s(b) = 4*j(b) + 7*o(b). Differentiate s(z) with respect to z. 1 Let k(r) = 152*r**3 - 116*r**2 - 7. Let d(t) = -304*t**3 + 233*t**2 + 16. Let h(q) = 3*d(q) + 7*k(q). Find the third derivative of h(w) wrt w. 912 Find the third derivative of 313*o**2 + 429*o**4 + 83 - 426*o**4 - 81 wrt o. 72*o Let l(w) be the second derivative of -w**5/10 - 281*w**3/3 - 315*w**2 + 46*w. Find the first derivative of l(f) wrt f. -6*f**2 - 562 What is the first derivative of -9*o + 162 + 0*o + 3*o - 22*o wrt o? -28 Let j = -302 - -302. Let g(v) be the second derivative of 2*v**2 + j - 2/3*v**3 + 2*v. Find the first derivative of g(m) wrt m. -4 Suppose -5*m + 6 = -3*r + 2, -4*m + 2 = -3*r. What is the third derivative of -k**6 + 21*k**6 - 5*k**m - 2*k**6 - 6*k**2 wrt k? 2160*k**3 Suppose 3*z = 12, 4*t = -0*z + 2*z + 240. What is the first derivative of -5*a**4 + 14 - 62*a**2 + t*a**2 wrt a? -20*a**3 What is the second derivative of 2*y + 38*y - 49 + 50 + 3*y - 659*y**3 + 35*y wrt y? -3954*y Let i(f) be the first derivative of -13 - 11 - 3 + 8*f**3 - 6*f**2. What is the second derivative of i(t) wrt t? 48 Let g(d) = d**3 + 3*d**2 - 4*d + 4. Suppose 20 = -5*m - 0*m. Let j be g(m). Differentiate -4 - 1 - k**4 - 4*k**4 + 2*k**j wrt k. -12*k**3 Let j(m) = -141*m**2 + 2*m + 153. Let l(v) = -284*v**2 + 5*v + 307. Let p(n) = 10*j(n) - 4*l(n). Find the first derivative of p(i) wrt i. -548*i Let q(m) = -48*m + 580. Let z be q(12). Let k(w) = w**2 - 3*w - 3. Let o be k(5). Find the third derivative of 5*p**2 - o*p**2 - 3*p**z - p**2 wrt p. -72*p Let d = 29 - 20. Find the second derivative of d*m**2 - 17*m - 2*m + 5*m**2 wrt m. 28 Let b(w) = 3*w - 35. Let r be b(13). Differentiate -5 - 27*o**r - 1 - 7 + 4 wrt o. -108*o**3 Let z(o) = -3*o**3 - 9*o + 2. Let u be z(-5). Find the second derivative of u*v**2 - 422*v**2 - 16*v - v - 13*v**3 wrt v. -78*v Let w(p) be the first derivative of 393*p**4/4 + 527*p**3/3 + 325. What is the third derivative of w(y) wrt y? 2358 What is the third derivative of -431*w**2 - 10*w**4 - 5*w**4 + 5*w**4 + 3*w**4 + 6*w**4 - 57*w**5 wrt w? -3420*w**2 - 24*w Let h(c) be the first derivative of -3*c**7/14 - 7*c**4/12 + 25*c - 31. Let y(a) be the first derivative of h(a). Find the third derivative of y(p) wrt p. -540*p**2 Suppose 4*g = -5*s + 21, -2*g + 2*s + 0*s = -24. Let m = -6 + g. Differentiate -1 - 1 + 3*u**2 + m wrt u. 6*u Let h(b) be the second derivative of 97*b**8/28 - 49*b**4/3 - 2*b - 99. What is the third derivative of h(l) wrt l? 23280*l**3 Let k(a) = -a**2 + 4*a - 2. Let z be k(6). Let x = 16 + z. Find the first derivative of -6*w - w - 4 + x*w + 0*w wrt w. -5 Let l(d) be the third derivative of d**7/30 - d**4/6 - 23*d**3/3 - 13*d**2 - 4*d. What is the first derivative of l(z) wrt z? 28*z**3 - 4 Let i(l) be the first derivative of 0*l + 0*l**4 + 0*l**3 + 0*l**5 + 29 - 1/3*l**6 + 20*l**2. Find the second derivative of i(y) wrt y. -40*y**3 Let x(p) = 3*p + 34. Let g be x(-9). What is the second derivative of -12*q - 21*q - 5*q - g*q**2 + 43*q**2 wrt q? 72 What is the third derivative of -2*o**2 + 15*o**3 - 2*o**3 - 15*o**3 - 5*o**4 - 18*o - 4*o**4 wrt o? -216*o - 12 Let c(d) = 325*d**4 + 3*d**2 - 3*d + 98. Let h(l) = -649*l**4 - 5*l**2 + 5*l - 195. Let a(i) = -5*c(i) - 3*h(i). Find the first derivative of a(n) wrt n. 1288*n**3 Let i(b) be the third derivative of -1/60*b**6 - 21*b**2 + 0*b + 0*b**3 + 0 - 5/12*b**5 + 0*b**4. Find the third derivative of i(j) wrt j. -12 What is the third derivative of 3*i**4 - 5*i**4 - 95*i**3 + 114*i**3 - 2*i**4 - 107*i**2 wrt i? -96*i + 114 Find the second derivative of -92*a - 9*a**2 - 54*a**2 + 14*a**2 + 2*a**3 - 130*a
{ "pile_set_name": "DM Mathematics" }
10027, -15030, -20015, -24976, -29907, -34802? -39655 What is the next term in 4557562, 4557560, 4557556, 4557550? 4557542 What is next in 534, 570, 614, 654, 678, 674? 630 What is the next term in -2419, -3965, -5513, -7063, -8615? -10169 What comes next: -365, -175, 17, 211? 407 What is the next term in 95, 299, 575, 869, 1127, 1295, 1319, 1145? 719 What comes next: 127, 265, 405, 547, 691? 837 What comes next: 1482, 1410, 1342, 1278? 1218 What is the next term in 15453, 61833, 139133, 247353, 386493? 556553 What is the next term in -4468, -4467, -4472, -4489, -4524? -4583 What is next in 22276, 22276, 22278, 22282, 22288, 22296? 22306 What comes next: -12265, -12266, -12267, -12268, -12269, -12270? -12271 What comes next: -779, -803, -827? -851 What is the next term in 19082, 19093, 19112, 19139, 19174? 19217 What is the next term in -2993, -5749, -8483, -11183, -13837, -16433, -18959? -21403 What is next in -17926, -35845, -53760, -71671, -89578? -107481 What comes next: 184, 147, 100, 43, -24, -101, -188? -285 What comes next: -677, -2957, -6757, -12077, -18917, -27277, -37157? -48557 What is next in 377448, 377446, 377444? 377442 What is the next term in -6607, -6669, -6829, -7135, -7635, -8377? -9409 What is the next term in -31382, -31402, -31430, -31472, -31534? -31622 What is next in -9, 159, 623, 1533, 3039, 5291? 8439 What is the next term in -2895, -2830, -2719, -2556, -2335, -2050, -1695? -1264 What comes next: 40276, 80548, 120822, 161098, 201376? 241656 What is next in 16, -1, 0, 19? 56 What is the next term in 3417317, 6834631, 10251945? 13669259 What comes next: -368, -727, -1096, -1475, -1864? -2263 What comes next: -8618, -8581, -8544, -8507, -8470? -8433 What is the next term in 5990, 12554, 19118, 25682, 32246? 38810 What is next in -350, -675, -1000, -1325, -1650, -1975? -2300 What is the next term in -1374, -5523, -12438, -22119, -34566, -49779, -67758? -88503 What comes next: 674886, 1349771, 2024656, 2699541? 3374426 What is the next term in 3844, 3482, 3118, 2752? 2384 What is next in 99, 75, -79, -363, -777, -1321? -1995 What comes next: -1163, -2321, -3479? -4637 What comes next: -97, -370, -815, -1432, -2221? -3182 What is next in 54643, 54632, 54623, 54616, 54611, 54608? 54607 What is the next term in 4370, 17494, 39368, 69986, 109342, 157430? 214244 What comes next: -5060, -10106, -15152, -20198? -25244 What is next in 1599, 1588, 1577? 1566 What comes next: 2824, 2822, 2812, 2794, 2768? 2734 What is the next term in -126829, -253653, -380477, -507301? -634125 What is the next term in 112, 106, 100? 94 What is next in 22502, 22441, 22342, 22187, 21958, 21637, 21206, 20647? 19942 What is the next term in -10, -43, -112, -217, -358, -535, -748? -997 What is the next term in -6191, -6308, -6425, -6542, -6659, -6776? -6893 What is next in 2286, 2266, 2246? 2226 What comes next: 33333, 66779, 100225, 133671? 167117 What comes next: -1982, -1964, -1932, -1880, -1802? -1692 What is the next term in 24235, 48476, 72717, 96958, 121199, 145440? 169681 What is next in -418, -392, -366, -340, -314? -288 What comes next: 6812, 13633, 20458, 27287, 34120, 40957, 47798? 54643 What is next in -86, -609, -1480, -2699, -4266, -6181, -8444? -11055 What is the next term in 7475, 7478, 7481, 7484, 7487, 7490? 7493 What is next in 28, 125, 286, 517, 824, 1213, 1690, 2261? 2932 What is the next term in 57, 84, 81, 30, -87? -288 What is the next term in -96, -221, -392, -615, -896, -1241, -1656, -2147? -2720 What is the next term in 58493, 116989, 175487, 233987? 292489 What comes next: -246891, -246894, -246897, -246900? -246903 What comes next: -62465, -62463, -62461, -62459, -62457, -62455? -62453 What is the next term in 8549, 8429, 8231, 7955? 7601 What is next in 171, 193, 225, 267? 319 What is the next term in 961, 1125, 1289, 1453, 1617, 1781? 1945 What is the next term in 3557, 3551, 3543, 3533, 3521? 3507 What is next in 117, 183, 241, 291, 333, 367, 393? 411 What is the next term in -737, -5788, -19493, -46178, -90169, -155792, -247373? -369238 What is the next term in 11973, 47892, 107755, 191562? 299313 What is the next term in -186, -192, -98, 180, 726, 1624? 2958 What is the next term in -23, -57, -111, -185? -279 What comes next: 4186, 4189, 4194, 4201, 4210? 4221 What comes next: -1439155, -2878311, -4317467? -5756623 What comes next: -405, -420, -459, -534, -657, -840, -1095, -1434? -1869 What is next in -753, -2978, -6675, -11844? -18485 What is next in -3530, -3629, -3728, -3827? -3926 What comes next: 465104, 465105, 465106? 465107 What comes next: -54, -48, 4, 126, 342, 676? 1152 What is next in 929, 1547, 2167, 2789, 3413? 4039 What is next in 20910, 20950, 20990, 21030, 21070, 21110? 21150 What comes next: -8169, -16312, -24455, -32598, -40741, -48884? -57027 What is next in -2178, -8733, -19664, -34971? -54654 What is next in -870, -1758, -2624, -3468? -4290 What is the next term in -1255, -2381, -3531, -4717, -5951, -7245? -8611 What is the next term in -52, -68, -82, -94, -104, -112, -118? -122 What comes next: -45552, -45558, -45566, -45576? -45588 What is next in 10160, 9682, 9204, 8726, 8248? 7770 What is the next term in 206, 342, 460, 560, 642, 706? 752 What is next in 173114, 173113, 173112, 173111, 173110? 173109 What is next in 102, 218, 382, 570, 758, 922, 1038? 1082 What comes next: -17738, -35452, -53128, -70748, -88294, -105748? -123092 What is the next term in -239, -275, -261, -173, 13? 321 What is next in 228, 123, 18, -87? -192 What is next in 27162, 108625, 244398, 434481, 678874, 977577, 1330590? 1737913 What comes next: 35, 219, 747, 1799, 3555, 6195, 9899? 14847 What comes next: 13758, 13755, 13752, 13749? 13746 What is the next term in 597, 400, 203, 6? -191 What comes next: -1710, -3507, -5304, -7101? -8898 What is the next term in -4721, -4733, -4757, -4799, -4865, -4961, -5093, -5267? -5489 What is next in -991, -1357, -1725, -2095, -2467, -2841, -3217? -3595 What comes next: 150, 212, 314, 456, 638, 860, 1122? 1424 What is next in -596, -2312, -5180, -9206, -14396, -20756? -28292 What is next in 1730, 6986, 15768, 28076, 43910, 63270? 86156 What comes next: -54, 98, 360, 738, 1238, 1866, 2628? 3530 What comes next: -11653, -23302, -34951? -46600 What is next in 121113, 121111, 121109, 121107, 121105? 121103 What is the next term in -136, -494, -1086, -1906, -2948? -4206 What comes next: 623, 2673, 6141, 11027? 17331 What is the next term in -906, -1026, -1218, -1476, -1794? -2166 What comes next: -12320, -24637, -36954, -49271, -61588? -73905 What is next in 189, -1673, -4775, -9117, -14699, -21521? -29583 What is next in 2741511, 2741513, 2741515, 2741517, 2741519? 2741521 What is the next term in -1686, -6765, -15238, -27111, -42390, -61081, -83190? -108723 What is the next term in 41, 131, 305, 611, 1097? 1811 What is the next term in -2826, -2894, -3008, -3168, -3374? -3626 What is next in 76746, 76773, 76808, 76857, 76926, 77021? 77148 What is the next term in -1994, -2217, -2562, -3023, -3594, -4269? -5042 What comes next: -64274, -128541, -192806, -257069? -321330 What is next in 265, 952, 2093, 3688, 5737, 8240? 11197 What comes next: -10912, -10833, -10754? -10675 What is next in 145528, 291054, 436580, 582106, 727632, 873158? 1018684 What is the next term in -386445, -1545768, -3477973, -6183060, -9661029? -13911880 What is the next term in 1440, 1396, 1352, 1308, 1264, 1220? 1176 What is next in -123795, -123792, -123789, -123786? -123783 What is next in -287, -1234, -2841, -5108, -8035? -11622 What comes next: 8, 151, 396, 743, 1192, 1743? 2396 What is the next term in -764600, -764597, -764592, -764585, -764576, -764565? -764552 What is the next term in -5109, -10270, -15437, -20610? -25789 What is the next term in -1023, -1074, -1125, -1176, -1227, -1278? -1329 What comes next: -88, -177, -184, -67, 216? 707 What comes next: -8185, -9063, -9929, -10777, -11601, -12395? -13153 What is the next term in -14538, -29057, -43566, -58065, -72554, -87033, -101502? -115961 What is next in 3075, 6124, 9173, 12222, 15271? 18320 What is the next term in -61747, -61745, -61745, -61747? -61751 What is next in -47, 1240, 2529, 3820, 5113, 6408, 7705? 9004 What is the next term in
{ "pile_set_name": "DM Mathematics" }
+ 13. What is n(u)? -3 Let m(b) = 2*b**2 - 36*b**3 - 1 + 7*b**3 + 15*b**3. Let f(c) = c**3 + 3*c**2 - 4*c - 10. Let q be f(-3). Suppose 0*a + 7 = -y - 2*a, -q*y = a + 2. What is m(y)? -13 Let o(z) = -50*z - z**2 + 16 - 8 + 21 + 36*z. Determine o(-13). 42 Suppose -6 + 24 = 6*o. Suppose 0 = 6*w - w - 25, -o*c = -w - 28. Let b(r) = -4 - 17 + c + 3*r. Calculate b(8). 14 Let a(d) = -28*d**2 + 32*d - 21. Let g(k) = -13*k**2 + 15*k - 10. Let j(x) = 6*a(x) - 13*g(x). Suppose 2*v - v = 0. Let f = 3 + v. Give j(f). 4 Let b(v) be the third derivative of 0*v - 1/12*v**5 + 1/3*v**3 + 1/8*v**4 - 9*v**2 - 1 + 1/120*v**6. What is b(4)? -2 Let l(b) = b**3 + 16*b**2 + 25*b - 23. Let a be l(-14). Let w(g) = g**2 - 26*g + 141. Determine w(a). 8 Let r(d) = -1657*d**2 + 18 + 45 - 19 + 1658*d**2 + 20*d. Give r(-18). 8 Let x(q) = q**3 - 3*q**2 - 8. Let r be -9 + 0 - 1/(-2)*24. Give x(r). -8 Let l(s) be the first derivative of s**5/30 - s**3/3 - 7*s**2/2 + 6*s - 24. Let a(x) be the second derivative of l(x). Determine a(-2). 6 Let v be (-6)/(276/115)*(-1)/((-450)/(-3)). Let m(z) be the third derivative of 0*z + 0 - 1/6*z**3 - 4*z**2 + 1/8*z**4 + v*z**5. Calculate m(-3). -1 Let i(u) = -4*u**2 + u - 5. Let m(s) = -23*s**2 + 7*s - 28. Let a(q) = 34*i(q) - 6*m(q). Let p(g) = -g**2 - 9*g + 6. Let l be p(-9). Calculate a(l). 22 Let i(m) be the second derivative of m**4/12 + 3*m**3/2 - 13*m**2/2 - 13*m. Suppose n - 18 = -29. Give i(n). 9 Let v = 5 - 14. Suppose 0 = 158*b - 178*b + 140. Let y(o) = 3*o + o**3 - 5 + b*o**2 + 3*o**2 + 5*o + 0*o - 8. What is y(v)? -4 Suppose -3*k + w = 15, 3*k + 40*w - 35*w + 51 = 0. Let d(t) = -11*t - 72. Give d(k). 5 Let d(x) = x**3 - 4*x**2 - 13*x - 13. Let i(n) = -95*n - 374. Let w be i(-4). Determine d(w). -19 Let n(x) be the second derivative of -x**4/12 + x**3/6 - 4*x**2 + 1581*x. Determine n(-6). -50 Let c(a) = 1118*a + 142. Let s(j) = -477*j - 71. Let t(k) = -3*c(k) - 7*s(k). Give t(5). -4 Let z = -8 - -1. Let b(n) = 40*n + 15. Let v(o) = 36*o + 16. Let w(h) = 8*b(h) - 9*v(h). Calculate w(z). 4 Let p(l) = -l**2 + 7*l - 5. Let x(a) = -2*a**2 + 10*a - 7. Let u be (-80)/(-24) - (-2)/3. Let y = u + -11. Let w(n) = y*p(n) + 5*x(n). Give w(-1). -4 Let p(y) = -y**2 + 18*y - 66. Let w be (-40)/(-26) + 690/1495 + 1*5. Calculate p(w). 11 Let l(t) = -4*t**2 - 9*t + 3. Let b(g) = -17*g**2 - 37*g + 11. Let w(p) = 2*b(p) - 9*l(p). Determine w(-6). 25 Let i(p) = 3*p**2 + 1. Let x(c) = -c**2 - 21*c + 58. Let o be x(-24). Let a be -2 + ((-4)/(-1))/(o/(-14)). What is i(a)? 13 Let n(j) be the second derivative of j**4/12 - 3*j**3 + 34*j**2 + 1719*j. Give n(13). 3 Suppose 7*l - 60 = -8*l. Suppose -5*n + 3216 + 524 = 4*w, l*w - 5*n - 3740 = 0. Let j(k) = w - 3*k + 4*k - 925. What is j(0)? 10 Let a(y) be the first derivative of -5*y**2/2 - 2*y + 54. Let k(q) = 14*q + 5. Let d(o) = 8*a(o) + 3*k(o). Suppose 3*r - 6 = -0*r. Determine d(r). 3 Let r(k) = 13*k + 1 - 1. Suppose -2*c - 4*a - 18 = 0, -2014*c = -2019*c - 4*a - 15. Give r(c). 13 Let b(g) = -7*g**2 + 23*g**2 + 1 - 351*g + 351*g - 5*g**2. What is b(2)? 45 Let z(x) = 105 + 102 + 106 - 327 + 4*x + 14*x - x**2. What is z(16)? 18 Let p(r) = 6*r**2 + 185*r - 10. Let j(w) = 3*w**2 + 111*w - 5. Let m(f) = 5*j(f) - 3*p(f). Calculate m(-3). -22 Let c(d) = 2*d**3 - 3*d - 4. Let f be (1 - -1)*186/124. Give c(f). 41 Let p(m) be the third derivative of m**4/24 + 13*m**3/6 - 10*m**2 - 62. Let z be 4/(-10) + (-86)/10. Give p(z). 4 Let a(b) = -b**3 + 21*b**2 + 161*b + 60. Let c be a(27). Let v(u) = -2*u**3 + 64*u**2 + 65*u + 32. Determine v(c). -1 Let f(u) be the third derivative of -u**6/60 + 13*u**5/60 - 11*u**4/24 - u**3/2 + 3*u**2 - 451. Determine f(5). 17 Suppose 3*w - 6 = 5*a - 0, -3*w - 2*a = 15. Let i(z) = -z**3 + 2*z. Determine i(w). 21 Let q = 15 - 10. Let v(m) = -29*m**2 - 34*m - 15. Let p(a) = -8*a**2 - 9*a - 4. Let b(s) = -22*p(s) + 6*v(s). What is b(q)? 18 Let j(u) be the first derivative of -u**3/3 - 7*u**2/2 - 5*u - 1. Let b be j(-3). Let a(n) = -19*n**3 + 8*n**3 + 8*n**2 + 2 + 10*n**3 - 6*n. Calculate a(b). 9 Let p(b) = -2*b**2 + 3*b + 9. Suppose -34 + 76 - 42 = -18*r. Give p(r). 9 Let p(b) = -4*b - 376. Let o(m) = 2*m + 340. Let z(s) = -7*o(s) - 6*p(s). Give z(13). 6 Let m(d) = 5*d - 207. Let l(b) = 22*b**2 - 103*b + 102. Let x be l(4). What is m(x)? 3 Let c(k) = 13*k + 9. Suppose m - 24 = 3*m - 16. Give c(m). -43 Let j = -49 - 159. Let v = j - -201. Let i(a) = a**3 + 6*a**2 - 8*a - 3. What is i(v)? 4 Let z(j) = 7*j**2 - 14. Let l(r) = 19*r**2 + 2*r - 47. Let k(g) = -28*g**2 - 3*g + 70. Let v(d) = 5*k(d) + 8*l(d). Let o(u) = -3*v(u) + 5*z(u). Determine o(-5). -2 Let z(o) = 196*o**2 - 615*o**2 + 5 + 201*o**2 + o**3 - o + 199*o**2. Determine z(19). -14 Let t(y) be the first derivative of 3/2*y**2 - 2*y + 2/3*y**3 - 1/4*y**4 + 156. Let s = -3 - -5. Determine t(s). 4 Let x = -4381 - -4386. Let a(u) = 13*u - 14. Calculate a(x). 51 Let t(p) = 10 - 3 + 203*p - 408*p + 3*p**3 + 200*p - 8*p**2 + 5. Give t(3). 6 Suppose 118 = 3*i + t, -3*i - 2*t + 54 + 62 = 0. Let b be i/6 + -2 + (-8)/12. Let r(x) = -b*x**2 - 9*x**3 + 8*x**3 - x + 2*x**3 + 6*x - 2. Calculate r(3). 4 Let a(u) be the third derivative of u**6/120 + u**5/10 - 23*u**4/8 - 7*u**3/3 - 4253*u**2. Determine a(6). 4 Let f(w) = -11*w - 15. Let u(s) = 31*s + 47. Let b(g) = 8*f(g) + 3*u(g). Give b(-5). -4 Let h(i) = -i + 4. Let r = -4497 - -4490. Determine h(r). 11 Let y(z) = 15*z - 26. Let n(f) = 3*f - 5. Let j be (1 + 0)*(-11)/(-2 - -1). Let w(b) = j*n(b) - 2*y(b). Let s = 77 + -75. What is w(s)? 3 Let z(j) = -35 + 48 - 3*j + 3 - 2*j + 3*j. What is z(8)? 0 Let d(x) = -15*x - 11. Let y(c) = c + 6. Let m(v) = d(v) + 3*y(v). Determine m(4). -41 Suppose -332*c - 57 = -389*c. Let o(t) = 24*t**2 + 2*t - 1. Determine o(c). 25 Let i = 10994 + -10989. Let d(u) = -3*u**2 + 4*u + 5. Calculate d(i). -50 Let r(l) be the second derivative of -l**3/6 - l**2 - l. Let j be 6/24 - ((-487)/4)/1. Suppose 143 = -7*v + j. Determine r(v). 1 Suppose -91 = -3*c - 5*s, -2*s = 7*c - 3*c - 98. Let f(z) = 20*z + 3 + 1 - 5*z**2 + z**2 + 3*z**2 - c*z. What is f(-4)? -4 Let l(s) = -3*s - 184. Let h(q) = -5*q - 282. Let k(u) = 5*h(u) - 8*l(u). Calculate k(20). 42 Suppose -2*h - 2*q + 24 = -6*q, -2*q = 2*h. Suppose g + g - 54 = 4*j, -12 = h*j. Suppose -24*y = -g*y + 12. Let n(l) = 6*l. Give n(y). -24 Let x(i) = 2*i - 11. Let t(z) = 2*z - 12. Let d = 15 + -20. Let q(c) = d*t(c) + 6*x(c). Let p be 104/16 - 1/2. What is q(p)? 6 Let q(x) be the second derivative of x**5/20 + 5*x**4/12 + 3*x**3/2 + 87*x**2/2 + 2273*x. Give q(-6). -3 Let b(q) = -q**3 - 5*q**2 - 5*q - 19. Let w(f) = -2*f**2 - 2*f - 10. Let t(m) = 4*b(m) - 10*w(m). Let h(y) be the first derivative of t(y). Calculate h(-1). -12 Let z(b) be the third derivative of -b**4/3 + 35*b**3/6 + 1182*b**2. What is z(10)? -45 Let c(z) = z**2 + 12*z + 2. Suppose 30 = -5*p - 30. Let v be c(p). Suppose -v*r - 13 = j, -j - 14 = r - 3*j. Let h(i) = -i - 3. Determine h(r). 5 Let v(g) be the third derivative of g**4/6 + 5*g**3/6 - 1870*g**2. Calculate v(5). 25 Let x(t) = 17*t + 796590 - 42*t - 796686. Calculate x(-4). 4 Let c(u) = -u**2 - 11*u - 22. Let b be c(-8). Let v(h) = h - 4*h + 7*h - b. Calculate v(4). 14 Let v(b) = -101*b + 42*b + 6 + 68*b. Calculate v(-6). -48 Let n(h) be the second derivative of -h**5/10 + 11*h**4/12 + h**3 - 52*h + 18. Determine n(6). 0 Let v(q) = q**2 - 4*q - 3. Let b be v(5). Let f(g) = 4*g - 3*g + 5*g**b - 10*g**2 + 2 - g**3. Let a be (-4116)/812 + (-2)/(-29). Give f(a). -3 Let c = 92 + -88. Let t(f) = 1 + 3 - 15 - 13*f + c + 8. What is t(-1)? 14 Let y(a) = a**3 - 4*a**2 - a + 7. Let o be y(4). Suppose o*g = 17 - 5. Let d(p) = -47 + p**2 - 2*p + 94 - 49. Give d(g). 6 Let s(t) = -2*t - 5. Let f be s(-6). Suppose 95 - f = v. Let c(i) = i + 88 - v. Determine c(-4). -4 Let t(r) = r**2 + 6*r - 24. Suppose -1360 = 41*d + 62*d + 67*d. Give t(d). -8 Let a(y) = -6*y - 17. Let p = 2287 + -2282. Give a(p). -47 Let x = 7 - 17. Let v(c) be the third derivative of c**6/120 + 11*c**5/60 + 11*c**4/24 + c**3/2 - 15095*c**2. Determine v(x). -7 Let c(r) = -r**3 + 5*r**2 + 2*r - 9. Let j = -10012 + 10018. Calculate c(j). -33 Suppose -3*b + 12 = 0, 4*s - 3*b + 14 = 34. Suppose 10*n = 14*n - s. Let d(v) = 6*v + 2. Determine d(n). 14 Le
{ "pile_set_name": "DM Mathematics" }
the g'th term of 942, 947, 956, 969, 986, 1007, 1032? 2*g**2 - g + 941 What is the q'th term of -20471, -40925, -61379, -81833? -20454*q - 17 What is the s'th term of -53, -253, -619, -1175, -1945, -2953, -4223, -5779? -4*s**3 - 59*s**2 + 5*s + 5 What is the d'th term of -890, -3532, -7934, -14096, -22018, -31700? -880*d**2 - 2*d - 8 What is the z'th term of 133, 231, 395, 625? 33*z**2 - z + 101 What is the j'th term of -3522, -3527, -3544, -3579, -3638, -3727, -3852? -j**3 + 2*j - 3523 What is the p'th term of -469, -488, -535, -622, -761? -2*p**3 - 2*p**2 + p - 466 What is the w'th term of 454, 937, 1468, 2071, 2770, 3589, 4552? 4*w**3 + 455*w - 5 What is the w'th term of 35141, 35151, 35161, 35171? 10*w + 35131 What is the v'th term of 952, 863, 776, 691? v**2 - 92*v + 1043 What is the q'th term of -291, -434, -573, -708, -839? 2*q**2 - 149*q - 144 What is the t'th term of 23471, 23475, 23483, 23495, 23511, 23531, 23555? 2*t**2 - 2*t + 23471 What is the c'th term of -1998, -5041, -8084? -3043*c + 1045 What is the i'th term of -1347, -1315, -1253, -1155, -1015, -827, -585, -283? i**3 + 9*i**2 - 2*i - 1355 What is the f'th term of -36796, -36853, -36948, -37081? -19*f**2 - 36777 What is the s'th term of 602, 535, 462, 383, 298? -3*s**2 - 58*s + 663 What is the n'th term of 79989, 159978, 239967? 79989*n What is the v'th term of 1093, 4331, 9733, 17305, 27053, 38983? v**3 + 1076*v**2 + 3*v + 13 What is the i'th term of -6016, -12102, -18190, -24280, -30372? -i**2 - 6083*i + 68 What is the n'th term of 1677, 6725, 15139, 26919, 42065, 60577? 1683*n**2 - n - 5 What is the x'th term of 249, 632, 1269, 2160, 3305, 4704, 6357? 127*x**2 + 2*x + 120 What is the b'th term of 5340, 21361, 48056, 85419, 133444, 192125? -b**3 + 5343*b**2 - b - 1 What is the l'th term of 9024, 9030, 9036, 9042? 6*l + 9018 What is the u'th term of 4627, 3982, 2903, 1384, -581, -2998, -5873, -9212? -u**3 - 211*u**2 - 5*u + 4844 What is the a'th term of -7498, -7657, -7922, -8293? -53*a**2 - 7445 What is the k'th term of -4307, -4265, -4151, -3929, -3563, -3017? 6*k**3 - 4313 What is the u'th term of -42, -53, -62, -69, -74, -77, -78? u**2 - 14*u - 29 What is the w'th term of 253924, 507848, 761772, 1015696, 1269620? 253924*w What is the y'th term of 216659, 433316, 649973? 216657*y + 2 What is the b'th term of 1015479, 1015488, 1015509, 1015548, 1015611? b**3 + 2*b + 1015476 What is the g'th term of 9470, 9466, 9460, 9452, 9442, 9430? -g**2 - g + 9472 What is the p'th term of 140411, 140409, 140407, 140405, 140403, 140401? -2*p + 140413 What is the p'th term of 3086, 6103, 9108, 12095, 15058? -p**3 + 3024*p + 63 What is the n'th term of -148786, -148788, -148792, -148798, -148806, -148816? -n**2 + n - 148786 What is the j'th term of -333, 324, 995, 1686, 2403, 3152, 3939? j**3 + j**2 + 647*j - 982 What is the i'th term of -3693, -7386, -11079? -3693*i What is the w'th term of -1373, -1543, -1723, -1919, -2137, -2383, -2663? -w**3 + w**2 - 166*w - 1207 What is the u'th term of 64634, 129270, 193906? 64636*u - 2 What is the c'th term of 424, 1264, 2106, 2950? c**2 + 837*c - 414 What is the d'th term of -1583517, -1583515, -1583513, -1583511? 2*d - 1583519 What is the o'th term of -1221673, -2443349, -3665025, -4886701? -1221676*o + 3 What is the a'th term of -14607, -14608, -14619, -14646, -14695, -14772? -a**3 + a**2 + 3*a - 14610 What is the o'th term of 112283, 224564, 336845, 449126, 561407? 112281*o + 2 What is the o'th term of -1791, -3700, -5611, -7524, -9439? -o**2 - 1906*o + 116 What is the u'th term of 574, 1134, 1682, 2218, 2742, 3254, 3754? -6*u**2 + 578*u + 2 What is the x'th term of 372, 725, 1078, 1431? 353*x + 19 What is the h'th term of 29775, 29773, 29771, 29769, 29767? -2*h + 29777 What is the z'th term of -32, 72, 336, 838, 1656, 2868, 4552? 13*z**3 + 2*z**2 + 7*z - 54 What is the f'th term of 168, 1277, 3130, 5727, 9068? 372*f**2 - 7*f - 197 What is the b'th term of -9931, -19877, -29823? -9946*b + 15 What is the s'th term of 1673, 3045, 4417, 5789? 1372*s + 301 What is the h'th term of -104, -252, -360, -428, -456, -444, -392? 20*h**2 - 208*h + 84 What is the q'th term of 215, 814, 1795, 3152, 4879, 6970? -q**3 + 197*q**2 + 15*q + 4 What is the z'th term of 287, 360, 433, 506? 73*z + 214 What is the f'th term of -245, -744, -1725, -3428, -6093, -9960, -15269? -40*f**3 - f**2 - 216*f + 12 What is the l'th term of 353950, 707897, 1061844, 1415791? 353947*l + 3 What is the k'th term of -6210, -12430, -18648, -24864? k**2 - 6223*k + 12 What is the a'th term of 120, 475, 1060, 1875? 115*a**2 + 10*a - 5 What is the w'th term of 1041, 877, 729, 603, 505, 441, 417, 439? w**3 + 2*w**2 - 177*w + 1215 What is the j'th term of -23884, -47769, -71654, -95539? -23885*j + 1 What is the r'th term of -9463, -19027, -28587, -38143, -47695? 2*r**2 - 9570*r + 105 What is the b'th term of -505, -2007, -4513, -8023, -12537, -18055? -502*b**2 + 4*b - 7 What is the h'th term of 190, 179, 24, -269, -694, -1245, -1916, -2701? h**3 - 78*h**2 + 216*h + 51 What is the s'th term of 302074, 302090, 302106, 302122, 302138? 16*s + 302058 What is the m'th term of -111, -178, -271, -402, -583, -826, -1143? -2*m**3 - m**2 - 50*m - 58 What is the x'th term of 2001, 1725, 1447, 1167, 885, 601? -x**2 - 273*x + 2275 What is the b'th term of 1988936, 1988941, 1988948, 1988957, 1988968? b**2 + 2*b + 1988933 What is the j'th term of -42733, -85537, -128341, -171145, -213949? -42804*j + 71 What is the d'th term of 814208, 1628413, 2442618, 3256823, 4071028, 4885233? 814205*d + 3 What is the r'th term of -209, -15, 309, 763, 1347, 2061? 65*r**2 - r - 273 What is the q'th term of 95699, 765688, 2584233, 6125612, 11964103, 20673984, 32829533? 95713*q**3 - 2*q - 12 What is the v'th term of 385, 399, 423, 457? 5*v**2 - v + 381 What is the u'th term of -3, 738, 1993, 3768, 6069, 8902? u**3 + 251*u**2 - 19*u - 236 What is the a'th term of -979, -2154, -3329? -1175*a + 196 What is the j'th term of -801, -1576, -2347, -3114, -3877, -4636? 2*j**2 - 781*j - 22 What is the k'th term of -132, -284, -454, -642, -848, -1072, -1314? -9*k**2 - 125*k + 2 What is the d'th term of 273, 244, 221, 210, 217? d**3 - 3*d**2 - 27*d + 302 What is the n'th term of 4111, 4224, 4351, 4498, 4671, 4876, 5119? n**3 + n**2 + 103*n + 4006 What is the b'th term of -9478357, -9478359, -9478361, -9478363? -2*b - 9478355 What is the h'th term of 171, 402, 703, 1080, 1539, 2086, 2727? h**3 + 29*h**2 + 137*h + 4 What is the a'th term of -563723, -563721, -563719, -563717, -563715, -563713? 2*a - 563725 What is the d'th term of -33749, -67472, -101169, -134840, -168485, -202104? 13*d**2 - 33762*d What is the q'th term of 1393693, 1393690, 1393687, 1393684, 1393681? -3*q + 1393696 What is the v'th term of -14451, -28903, -43365, -57843, -72343, -86871? -v**3 + v**2 - 14448*v - 3 What is the w'th term of 524, 2046, 4536, 7994, 12420, 17814, 24176? 484*w**2 + 70*w - 30 What is the x'th term of 9875, 19751, 29627, 39503, 49379, 59255? 9876*x - 1 What is the r'th term of -13460, -13461, -13462, -13463, -13464? -r - 13459 What is the i'th term of -1457, -5261, -11399, -19865, -30653, -43757, -59171? i**3 - 1173*i**2 - 292*i + 7 What is the v'th term of 675, 747, 817, 885, 951? -v**2 + 75*v + 601 What is the j'th term of 1748, 1764, 1780, 1796, 1812? 16*j + 1732 What is the a'th term of -3107, -6223, -9339? -3116*a + 9 What is the r'th term of 32669, 65333, 97997, 130661, 163325? 32664*r + 5 What is the q'th term of 400, 683, 962, 1237? -2*q**2 + 289*q + 113 What is the d'th term of -1030, -3127, -6622, -11515? -699*d**2 - 331 What is the q'th term of -2170, -3811, -5452, -7093, -8734? -1641*q - 529 What is the i'th term of 2527514, 5055028, 7582542, 10110056, 12637570? 2527514*i What is the f'th term of -121231, -242461, -363691? -121230*f - 1 What is the w'th term of 618, 244, -384, -1266, -2402, -3792, -5436? -127*w**2 + 7*w + 738 What is the m'th term of 599250, 599251, 599252, 599253? m + 599249 What is the n'th term of -33, -241, -807, -1911, -3733, -6453, -10251? -30*n**3 + n**2 - n - 3 What is the r'th term of -1481, -6036, -13705, -24494, -38409? -r**3 - 1551*r**2 + 105*r - 34 What is the r'th term of 35993, 36085, 36177, 36269? 9
{ "pile_set_name": "DM Mathematics" }
the closest to r in -4/3, -47/2, 0.1? 0.1 Let i be 0 + (-8 - (-120)/16). Let k = 9 - 9.4. Let q = -0.04 - -3.04. Which is the closest to q? (a) -3 (b) i (c) k c Let l = -5577 - -5578. What is the nearest to -2 in l, 4, 157? l Let n = 6.56 + -1.56. Let f = -31.9 + 32. Which is the nearest to f? (a) n (b) -3/7 (c) 0.1 c Let i = 3900 - 3895. Which is the nearest to -12/23? (a) -1 (b) -1/7 (c) i b Let d be (-18)/96*2 + ((-45)/8 - (2 - 5)). Let s = 43 - 38.1. What is the nearest to -2/3 in s, d, 2? d Let v be (-125)/360 + (6/108)/(2/8). Which is the nearest to 1? (a) -2 (b) -1 (c) v (d) 8/43 d Let j = 1.02 - -154.98. Let w = j - 166. Which is the closest to 2/9? (a) w (b) 1/5 (c) 2/19 b Let i = -27.34 - -25.34. What is the nearest to 2 in -1/11, 0, -4, i? 0 Let q = 62 + -61.82. Let j = 11.18 - q. Which is the nearest to 0? (a) 0.4 (b) 5 (c) j a Let z = -93 + 278/3. Which is the closest to 0.1? (a) z (b) -1/5 (c) -40/3 (d) -0.4 b Suppose 218*p = 232*p. Which is the nearest to -5? (a) p (b) -9 (c) 2 b Let x be (1/(1*-4))/((-252)/(-224)). Which is the closest to 0.7? (a) 0.2 (b) -0.3 (c) 0.3 (d) x c Let u = 1.1 + -0.1. Let x = -17 + 65/4. Let m = 1866.6 + -1866.8. What is the nearest to u in x, m, 2/7? 2/7 Let x = 4.693 + -8.393. Let i = -5.1 + 5. What is the nearest to -1 in i, -0.3, x? -0.3 Let t = 103.1 + -103. Let y = -55 + 40. Let x be y/21*6/(-15). Which is the closest to x? (a) t (b) -4 (c) -5 a Let v = 6904 + -6904. Which is the nearest to 0.9? (a) -2 (b) -1/5 (c) v (d) -7 c Let p = 643 - 650. Let g = -0.2 + 0.5. What is the closest to -1 in g, p, 3? g Let k(d) = -d**3 + 6*d**2 + 5*d - 4. Let s be k(5). Let u be s/(-36) + (-8)/36. Let i = -527 + 528. Which is the closest to 7? (a) -5 (b) u (c) i c Let o = -1153 - -1167. What is the closest to o in -4/5, 2, 1/9? 2 Let r = -13/22 + 179/154. Let y = 0.099 - 1.099. What is the closest to y in r, 3/7, 3? 3/7 Let q = 25.2 + -24.2. Suppose 3*w = z + w + 2, -3*w = -3. Suppose z = 3*m + 2*m - 10. Which is the closest to q? (a) m (b) 2/3 (c) -11 b Suppose -d + q + 1 = 3*d, -5*q = d + 26. Let b = -161 - -164. What is the nearest to b in -2, -3, d? d Let h = -3.7 - -1.6. Let p = -2.2 - h. What is the closest to p in -4, -0.24, -1/3? -0.24 Let l(u) = -2*u**3 + 8*u**2 - 67*u + 389. Let o be l(5). Which is the nearest to 2/9? (a) -1/8 (b) o (c) -0.3389 a Let t = 9.8 - 8. Let u = t - 1.6. Let d = -0.1 + u. Which is the nearest to 0.1? (a) d (b) -1/6 (c) -2/9 a Let q = -129 - -132. Suppose 0 + 3 = -q*s. Let a be (16/40)/((-12)/(-10)). What is the nearest to -0.9 in s, a, 3/5? s Let z = -7198/3 + 14393/6. Let q = -1.7 + -0.3. What is the nearest to -0.1 in z, q, -17? z Let k = -167 + 171. Suppose k*q = 0, -u + 3*u = -3*q - 4. Which is the nearest to -1? (a) u (b) -0.2 (c) -0.3 c Let l = -10360/3 + 3453. What is the closest to 1 in -0.191, 0.5, l, -0.3? 0.5 Let s = 366 + -373. Let c = s - -6.89. What is the nearest to -1/5 in 1/2, 2/17, c? c Let n = 0.036 + -47.036. Let j = -43 - n. Suppose -2 = -o + 2. Which is the closest to o? (a) j (b) 1 (c) 0.4 a Suppose 2*p = 5*o - 14, -2*p + 2*o = -3*p + 2. Let d = -0.21 + 0.71. What is the nearest to p in 1, -1, d? -1 Let t be ((-6)/8)/(297/(-132)). What is the closest to t in -0.178, 0, -5? 0 Let r = 0.0016 + 11.5984. Let f = -0.038 - -11.238. Let l = f - r. What is the nearest to 0.1 in l, -0.5, -0.1? -0.1 Let z = -95 - 173. Let o = z - -263. Which is the nearest to -2/5? (a) 0.5 (b) -0.4 (c) o b Let t = 0 - 0.1. Let v = -61 - -55. Let x = -4668.3 + 4668. What is the nearest to t in x, -4/9, v? x Let r = 9430.914 + -9431. What is the nearest to -1 in -6, r, 2/7? r Let d = 324 - 401. Let g = d + 74. Which is the nearest to 3/5? (a) 0.5 (b) -1/2 (c) g a Suppose m - 2 = -y - 5, m + 5*y + 15 = 0. Suppose 0 = -5*s - 15, -4*d - 3*s + m*s = 17. Let f = 5 + -5.1. Which is the closest to f? (a) 3/2 (b) d (c) -5 a Let m = 2 + 1. Let y = -976/5731 + -6/521. Which is the nearest to 3? (a) y (b) 1 (c) m c Let b = -3042 + 3037. What is the nearest to -0.2 in b, -0.4, -0.2, -6? -0.2 Let s be 6/14 - 0/2. Let b = -513.76 + 512.76. What is the closest to b in -1, 0, s? -1 Let d = 2022/41 + -4003/82. Let k = -3.99 + -0.01. What is the closest to -0.1 in 2, d, k, 1? d Let x = 1.7 + -5.3. Let r = x - -3.3. Let y be (3/42)/((-5)/20). Which is the nearest to r? (a) y (b) -0.4 (c) -0.5 a Suppose -67 = 2*v - f, v + f = -4*f - 39. Let z = 45486 - 45481. Which is the closest to -0.1? (a) z (b) 3 (c) v (d) -0.3 d Let z be (114/(-95))/(2 + 16/(-10)). What is the closest to 2/7 in -9/5, 5, -9, z? -9/5 Let g = -2996.95 + 2997. Which is the closest to -1? (a) 5 (b) 0.1 (c) 2.3 (d) g d Let r be (-4218)/(-1140) - ((-33)/10 - -3). Which is the nearest to 0.02? (a) 14 (b) -5 (c) r (d) 3/2 d Let g(c) = c**3 - 22*c**2 + 20*c + 25. Let m be g(21). Let u be (-39 - -43)/(6*3). What is the closest to 17 in -1, u, m? m Let x = -17051/108 + 4256/27. Which is the nearest to 0? (a) x (b) -129/5 (c) 2 a Let f be 6 + -5 + (-4)/5. Let t = -3624 + 3472.9. Let h = 151 + t. Which is the nearest to 2/9? (a) -3/4 (b) h (c) f c Let h = 0.189 - 2.189. Let j = 2.3 + h. Let b = -0.13 - -3.13. What is the closest to -1 in b, 0.4, j? j Let j be (-1 + 16/6)*(-2466)/5480. Let h = 3 + 2. Which is the nearest to 0.2? (a) j (b) h (c) -0.2 c Let s = 2/6251 + 30749/1581503. Let o = 61/759 - s. Which is the closest to -1? (a) -1/6 (b) o (c) 2/5 a Let x = -16.234 - -4.234. Which is the closest to -2/9? (a) x (b) -19 (c) -2/5 c Suppose 3*q + q = -5*m + 76, -5*q + 2*m + 62 = 0. Let f be (4/q)/((-20)/84). What is the nearest to 2 in -0.2, f, 2/73? 2/73 Let k be 1/(-4) - 7/((-588)/45). Let t = -0.84 + 0.24. Let h = -0.9 - t. What is the nearest to 4 in k, h, -2/17? k Let n be ((-6)/4)/3*-4. Let j = -3.1304 - -2.1304. Which is the nearest to 3/4? (a) 1.6 (b) j (c) n a Let q = 0.5633 + -0.4633. Which is the nearest to q? (a) -0.02 (b) -1 (c) 6 (d) 5 a Let q(i) = i**3 - 11*i**2 + 31*i - 20. Let p = 9 + -2. Let g be q(p). What is the closest to 2/9 in 0.5, g, 0.05, 0.1? 0.1 Let n = -145.6 - -146. Let x = -0.035 - -0.095. What is the nearest to 1 in 3/8, n, x? n Let o be (-4 - 376/72) + 9. Which is the nearest to o? (a) -4 (b) 5/8 (c) 7 b Let g = -5 + 4.6. Let s = 1483803 + -37095073/25. What is the closest to 1/9 in -2, s, g? s Let m = -6.52 + 3.33. Let z = m + 5.19. What is the nearest to z in 3, -4/5, 4/7, -5/4? 3 Let l be 39/60 - 8/32. Let n = -13 - -9. Let y be (n/6)/((-40)/12). Which is the closest to -2/3? (a) y (b) 0.7 (c) l a Let f = -72146 - -72147. Suppose v - 2 = 2. Let x = -2.2 - -2. Which is the closest to 2/7? (a) v (b) f (c) x c Let z = -1.7 - -1.7. Let t be ((-27)/(-6))/((-12)/(-8)). What is the nearest to 0 in t, 5/4, z? z Let z = 175.3 + -171.3. What is the closest to 2 in 3, -1, -4, z? 3 Let z = -1041 - -1044. Suppose -4*w = 2*g - 9*w + 33, g = 5*w - 19. Which is the closest to g? (a) 1 (b) z (c) 0.1 c Let f = 4 - 5. Let w be (f + 6/4)/(-1). Let l be (-19)/6 + 18 + 1819/(-102). What is the nearest to l in 4, -4, w? -4 Let r = 1/1516 + 3025/10612. What is the closest to r in 1.2, -5/4, 5? 1.2 Let t be 7 + (-8 - -9 - (1 - -2)). Suppose 21 = -t*o + 26. Suppose 2*z + 2 = 8. What is the closest to o in z, 2, -0.5? 2 Let s = 0.2 + -0.3. Let j be 1200/1125*(-15)/36. Which is the nearest to 0? (a) -1 (b) j (c) s c Let l be 9 + (1925/(-189))/5 + -7. What is the nearest to -1 in 2/9, -11, -2, l? l Let y = 1.029475 + -0.029475. Suppose 0 = 5*f + 3*s - 22, 0 = f + f + s - 9. Let m = -0.2 + 2.2. What is the closest to m in f, y, -3? y Let f = 1539.35 + -1539.4. Which is the closest to -16? (a) -1 (b) -0.1 (c) -3/4 (d) f a Let t = 94.9 + -105. Let o = 9.1 + t. What is the nearest to -2 in 3, -1/4, o? o Let g = 68093/4 + -16714. Let x = 309 - g. Let q = 0 - 0.2. Which is the nearest to 0.1? (a) -3 (b) q (c) x b Let k = -903 + 903.4. Let o = 16/5 - 53/15. What is the closest to -1 in k, o, 10? o Let o = -4.0552 - -0.0552. Let i = -0.91 - -5.91. Let n = 6 - 11. What is the closest to -2/7 in o, n, i? o Let x = -0.1539 - 0.1461. What is the closest to -2 in -0.1, 93, x? x Let x be (-1250)/(-1000) - (-13)/(-8). Whi
{ "pile_set_name": "DM Mathematics" }
, and 1 o when four letters picked without replacement from {i: 1, v: 1, d: 2, o: 8, m: 2}. 16/1001 What is prob of picking 2 k when two letters picked without replacement from kwkwkkkwkkkkwk? 45/91 Four letters picked without replacement from {a: 4, y: 1, h: 5, x: 8}. Give prob of picking 1 y, 1 x, and 2 h. 4/153 Three letters picked without replacement from {g: 1, h: 4, v: 7, p: 1, n: 5, t: 1}. What is prob of picking 1 h and 2 n? 40/969 Four letters picked without replacement from ukvkkvuccikkvvuuuvv. What is prob of picking 3 u and 1 c? 5/969 Two letters picked without replacement from rmiriilrlrimimuim. Give prob of picking 1 r and 1 m. 2/17 Two letters picked without replacement from ofudjll. What is prob of picking 1 f and 1 o? 1/21 Two letters picked without replacement from mxnnxxknmh. Give prob of picking 1 x and 1 k. 1/15 Two letters picked without replacement from {q: 2, r: 1}. Give prob of picking 2 q. 1/3 Two letters picked without replacement from {j: 1, u: 5, z: 6, g: 2, x: 1, o: 1}. Give prob of picking 1 j and 1 u. 1/24 Three letters picked without replacement from ebebbqlbqlqlmeb. What is prob of picking 3 l? 1/455 What is prob of picking 1 t and 1 p when two letters picked without replacement from jtsspj? 1/15 What is prob of picking 2 z, 1 b, and 1 g when four letters picked without replacement from jbfbzzgzz? 2/21 Three letters picked without replacement from ggqqggggggggqgqggg. What is prob of picking 3 q? 1/204 Two letters picked without replacement from {h: 4}. What is prob of picking 2 h? 1 What is prob of picking 3 h when three letters picked without replacement from hrhhhyrhhhhy? 14/55 Four letters picked without replacement from {m: 1, g: 5, u: 4, h: 2, t: 2, r: 1}. What is prob of picking 1 m, 1 h, 1 g, and 1 t? 4/273 Two letters picked without replacement from {l: 1, p: 1, a: 1, z: 1, g: 1}. Give prob of picking 1 z and 1 a. 1/10 Four letters picked without replacement from {x: 3, j: 4, e: 2, w: 1, p: 4, f: 1}. What is prob of picking 3 j and 1 w? 4/1365 Calculate prob of picking 3 h when three letters picked without replacement from {h: 10}. 1 Calculate prob of picking 2 o and 2 y when four letters picked without replacement from {o: 2, y: 2, v: 1}. 1/5 Two letters picked without replacement from {s: 2, l: 7}. Give prob of picking 1 s and 1 l. 7/18 Calculate prob of picking 1 a, 1 j, and 1 i when three letters picked without replacement from {j: 3, s: 7, h: 3, i: 4, a: 1}. 1/68 Three letters picked without replacement from smwlf. What is prob of picking 1 s, 1 w, and 1 m? 1/10 Three letters picked without replacement from gtbbgttutug. What is prob of picking 2 g and 1 b? 2/55 Calculate prob of picking 3 i and 1 r when four letters picked without replacement from riuiiiiiixiui. 84/715 Two letters picked without replacement from eoeeojjjeooojjojj. Give prob of picking 1 e and 1 o. 3/17 What is prob of picking 3 d when three letters picked without replacement from {l: 1, h: 1, m: 6, n: 4, w: 1, d: 3}? 1/560 Three letters picked without replacement from {t: 1, f: 1, y: 10, h: 4, u: 4}. What is prob of picking 2 h and 1 t? 1/190 Calculate prob of picking 2 g when two letters picked without replacement from ffgfffggfggffffffg. 5/51 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from rsprrpspspripyr. 1/105 Three letters picked without replacement from fofofppxx. What is prob of picking 1 x and 2 f? 1/14 Two letters picked without replacement from bsbssggcgssbb. Give prob of picking 1 g and 1 b. 2/13 What is prob of picking 1 a, 1 h, and 1 q when three letters picked without replacement from {a: 6, h: 1, q: 8}? 48/455 What is prob of picking 1 x and 2 i when three letters picked without replacement from {m: 2, x: 4, i: 10}? 9/28 Two letters picked without replacement from {f: 1, n: 1, t: 1, x: 2}. What is prob of picking 2 x? 1/10 Calculate prob of picking 2 z when two letters picked without replacement from {z: 6}. 1 What is prob of picking 2 d when two letters picked without replacement from ddy? 1/3 Three letters picked without replacement from izaazzzizzaaii. Give prob of picking 1 z, 1 a, and 1 i. 24/91 What is prob of picking 3 u and 1 v when four letters picked without replacement from uuuvvuv? 12/35 Two letters picked without replacement from {m: 4, a: 4, g: 1, x: 1, y: 1, c: 3}. Give prob of picking 2 c. 3/91 Three letters picked without replacement from {d: 3, r: 1, o: 1, m: 1, j: 1}. What is prob of picking 3 o? 0 Two letters picked without replacement from {x: 10, k: 10}. What is prob of picking 2 x? 9/38 Three letters picked without replacement from {z: 2, c: 17}. Give prob of picking 3 c. 40/57 Two letters picked without replacement from {y: 1, p: 2, c: 3, k: 4, u: 1}. What is prob of picking 2 p? 1/55 Two letters picked without replacement from {r: 1, m: 1, n: 1, z: 1, a: 2, y: 1}. Give prob of picking 1 a and 1 m. 2/21 Four letters picked without replacement from adadaonddmadzddd. What is prob of picking 1 n, 1 o, 1 a, and 1 m? 1/455 Calculate prob of picking 1 x and 2 j when three letters picked without replacement from {o: 1, j: 3, x: 3, m: 2, z: 5, y: 1}. 9/455 Calculate prob of picking 3 w and 1 d when four letters picked without replacement from {w: 5, l: 2, d: 1, b: 2, o: 4}. 10/1001 Four letters picked without replacement from psllssslyyylgsllms. Give prob of picking 1 s, 2 y, and 1 l. 3/85 Calculate prob of picking 1 f and 2 n when three letters picked without replacement from {y: 1, f: 2, m: 1, h: 1, n: 2}. 2/35 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from hjbhjjhjdjh. 1/11 What is prob of picking 1 e, 1 n, 1 v, and 1 c when four letters picked without replacement from hnhcvcte? 1/35 Calculate prob of picking 2 h when two letters picked without replacement from kkkkrkhkhhkkkkkkr. 3/136 Three letters picked without replacement from kpwwkpwppkpkk. What is prob of picking 2 p and 1 w? 15/143 Two letters picked without replacement from qqsqsnnsssnnqqsnnns. What is prob of picking 1 q and 1 n? 35/171 Four letters picked without replacement from {a: 1, q: 1, m: 9, c: 2, d: 3, j: 3}. Give prob of picking 1 a, 1 m, 1 j, and 1 d. 27/1292 Two letters picked without replacement from {z: 3, d: 7}. What is prob of picking 2 z? 1/15 Four letters picked without replacement from {w: 2, k: 18}. Give prob of picking 2 w and 2 k. 3/95 Three letters picked without replacement from {d: 4, t: 2, n: 3, y: 7, f: 3}. What is prob of picking 1 f and 2 y? 21/323 Calculate prob of picking 1 k, 2 b, and 1 x when four letters picked without replacement from {b: 2, x: 1, r: 2, k: 1, s: 2, u: 1}. 1/126 Three letters picked without replacement from {i: 1, t: 10, d: 6}. Give prob of picking 1 d and 2 t. 27/68 Calculate prob of picking 1 c and 1 b when two letters picked without replacement from csnjbtb. 2/21 Four letters picked without replacement from lzzzzzzzzlzzzlzzzzzz. Give prob of picking 3 l and 1 z. 1/285 Four letters picked without replacement from {i: 2, a: 3, z: 1, n: 2, e: 3, h: 3}. What is prob of picking 3 h and 1 a? 3/1001 Four letters picked without replacement from dodommccmdmycmddymod. Give prob of picking 1 c, 1 d, and 2 m. 18/323 Three letters picked without replacement from wvfovwwffwnwnfwv. Give prob of picking 1 v, 1 o, and 1 n. 3/280 What is prob of picking 1 w and 3 k when four letters picked without replacement from {m: 1, w: 9, t: 1, k: 5}? 9/182 Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {x: 9, i: 2, g: 2}. 1/143 Three letters picked without replacement from {z: 7}. What is prob of picking 3 z? 1 Three letters picked without replacement from slmlfmpmm. Give prob of picking 1 l, 1 f, and 1 s. 1/42 What is prob of picking 2 d and 2 l when four letters picked without replacement from lldllddlll? 3/10 Calculate prob of picking 3 i when three letters picked without replacement from hieiihhiihi. 4/33 Two letters picked without replacement from {t: 3, y: 2}. Give prob of picking 1 t and 1 y. 3/5 Four letters picked without replacement from annooboboanooooaoo. Give prob of picking 1 n, 1 o, 1 b, and 1 a. 1/17 What is prob of picking 1 f, 1 j, and 2 k when four letters picked without
{ "pile_set_name": "DM Mathematics" }
9. 72 Calculate the common denominator of 12/7 and (-58)/12 + 16/24. 42 Suppose -2*p + 9*p = 154. Calculate the smallest common multiple of p and 10. 110 Let q(o) = -o**3 + 3*o**2 - 3*o + 3. Let m be q(2). Let c(p) = 10*p**2. What is the lowest common multiple of c(m) and 4? 20 Let o(n) = n + 195940. Let y be o(0). Let p be y/15 + (-2)/(-6). Let c = 130517/10 - p. Find the common denominator of -23 and c. 10 Suppose 0*i - 3*i = -4*r + 953, -624 = 2*i + 3*r. Let x = -1271/4 - i. Calculate the common denominator of 53/10 and x. 20 Let p(j) = -j**3 - 5*j**2 - 3*j + 5. Suppose -4*c + 3*c = 0. Suppose -x + 6*x + 25 = c. Calculate the smallest common multiple of 6 and p(x). 60 Suppose 0 = -2*k - 3*a + 7, 3*a - 2 - 4 = -3*k. Let c be -2 - -1 - (0 - -3). What is the least common multiple of 10 and 2/(c/(-2) + k)? 10 Let a = -3/44 - -5/33. Let m = 3473945/14 - 248270. Let y = m - -131. Find the common denominator of a and y. 84 Let j be (21 + -9)/(3/14). Suppose -4*b + j = -0*b. What is the least common multiple of 8 and b? 56 Let h = -5 - -16. Calculate the least common multiple of 10 and h. 110 What is the common denominator of 3/9 + 3/(-18)*-11 and 119/10? 30 Let j be (4 - -1)*(-4)/(-5). Suppose y + 12 = -11. Calculate the common denominator of y/j*40/(-15) and -23/10. 30 Let b = -43 - -47. Calculate the least common multiple of b and 8. 8 Let q = 1/12 - 11/24. Calculate the common denominator of 113/14 and q. 56 Calculate the common denominator of 97/6 and (-53)/(-22) - (-6 - -5). 66 Let a = -18 + 46. Let k = -20 + a. Calculate the smallest common multiple of 18 and k. 72 Let g(p) = 2*p**2 + 3*p + 5. Let k be g(-6). Suppose 2*d + 3*z - k + 186 = 0, -122 = 2*d + 4*z. Find the common denominator of (0 - d/9)/1 and 69/2. 18 Suppose 5*j = 3*j + 4. Let g = 94 + -50. Suppose 0*m + g = 2*m. Calculate the lowest common multiple of j and m. 22 Calculate the common denominator of -53/22 and 346/(-24) - (-12)/18. 44 Let t(c) = -c. Let q(x) = -4*x**2 - 6*x + 1. Let w(b) = -q(b) + 6*t(b). What is the lowest common multiple of w(-1) and 4? 12 Suppose -c - 2*c = 0. Suppose 3*w - w - 20 = c. Calculate the least common multiple of w and 20. 20 Let i = -22944 + 161557/7. Let g = i + -19379/140. Calculate the common denominator of -53/16 and g. 80 Let p = -745/87 - 3/29. Suppose 5*j = 5, -2*j = -m - j + 23. Suppose -3*h + 3*o + m = 0, -5*o = -4*o - 2. Find the common denominator of p and h. 3 Find the common denominator of (2/(-14))/((-22)/121) and -59/18. 126 Suppose -3*w + 2*j + 2*j = -38, -32 = -2*w + 4*j. What is the smallest common multiple of (-5)/2*20/(-25) and w? 6 Let c = -4 + 15. Suppose 23 = 2*d + 3*z, d - 4*d + z + 7 = 0. Suppose -3*w - 22 = -3*t + w, -d*w = 3*t + 10. Calculate the smallest common multiple of c and t. 22 Suppose 3*m - 4 = -4*b + 7*m, -5*b = 3*m - 5. Calculate the smallest common multiple of 8 and b. 8 Calculate the common denominator of (-3 - (-415)/10) + -3 and 97/8. 8 Let t be ((-3)/(1/1))/(-1). Suppose -t*k + 80 = k. Suppose 5*b + k = y + 3*b, -15 = -y + b. What is the lowest common multiple of y and 11? 110 Calculate the common denominator of 210/(-80)*12/(-14) and 119/10. 20 What is the common denominator of ((-556)/(-72) - 0) + -1 and 71/48? 144 Calculate the common denominator of 8/(-32) + 1/(-4) and -1/4. 4 Let v(o) = -o + 2. Let l = -2 + -3. Calculate the lowest common multiple of 10 and v(l). 70 Suppose -d = 2*l - 4*l - 1000, 0 = 5*l - 2*d + 2498. Calculate the common denominator of -11/9 and (-2)/3*l/40. 90 Suppose -2*h - 3*g = -127, 2*g - 234 = h - 5*h. Calculate the smallest common multiple of h and 22. 616 Let k = 50/3 - 22. What is the common denominator of 10/69 and k? 69 Let l = 870154961/632886 + 1/1582215. Let r = l - 1379. What is the common denominator of r and 97/12? 60 Let o = -15 - -25. Let p = o + -12. What is the smallest common multiple of 12 and ((-12)/(-15))/(p/(-15))? 12 Suppose 2*l + 2*i = -2*i + 8, 5*i = -4*l + 1. Let d be l/15 + (-122)/(-5). Suppose 5*w = d + 26. Calculate the lowest common multiple of 14 and w. 70 Let c(q) = q**2 + 2*q + 3. Let r be c(-3). Suppose -z + 3*z = r. Let x = 5 - z. What is the least common multiple of 1 and x? 2 Let r = 5/4 + -1/12. Find the common denominator of r and 56/9. 18 Let m = 6418 + -102721/16. Calculate the common denominator of -59/112 and m. 112 Suppose p + 3*j = -76, -j = p + 3*p + 271. Let t = -112211/61936 + -3/3871. Find the common denominator of (p/2)/(-1 - -11) and t. 80 Calculate the common denominator of 3237/198 + 6/(-33) and -19/4. 12 Let i = -25 - -32. Let d = 2 + 6. What is the lowest common multiple of d and i? 56 Let a = -218/9 - -1382/63. Calculate the common denominator of 97/8 and a. 56 Let q(c) = -c - 2 + 16*c**2 - 2*c**3 - 33*c**2 + 17*c**2. Let u = 4 - 6. Calculate the smallest common multiple of 12 and q(u). 48 Let f(k) = -2*k + 1. Let u be f(10). Let l = -3 - u. Calculate the least common multiple of l and 22. 176 Suppose 8*c - 2*c = -24. Calculate the common denominator of c and -5/4. 4 Find the common denominator of 1 - 1 - 118/(-18) and -36/7. 63 Let d = 174745/14 - 12475. Let f = -1441473/49 + 29419. Let j = -5155/588 + f. Find the common denominator of j and d. 84 Suppose -42 - 24 = -3*o. Calculate the least common multiple of 2 and o. 22 Suppose 4*v - 5*j = 33, -5*v + 15 = j - 2*j. Calculate the common denominator of -47/6 and (-1)/v*(-10)/(-3). 6 Suppose -2*j - 3*x = 9, -29 = 2*j + 5*x - 10. Let z be (-4)/14 - (-32)/14. Let d(o) = 6*o - 2. Calculate the smallest common multiple of j and d(z). 30 Suppose -u = 4*u - 155. What is the least common multiple of u and 3? 93 Let f(c) = -c**2 + 4*c - 1. Let k be ((-8)/5)/((-8)/20). Suppose -k*l + 28 = -4*p, l - 2*p = 18 - 7. What is the least common multiple of 3 and f(l)? 6 Let q = -9820 + 1296247/132. What is the common denominator of q and -27/14? 924 Let g(b) = -b - 1. Let t be g(-3). Suppose 0 = -y - t + 1. Find the common denominator of 57/5 and y/(-4) - (-178)/(-16). 40 Let z = 7 - 5. Suppose z*v = -0*v + 32. Let w(t) = 2*t**2 - 8*t - 8. Calculate the smallest common multiple of v and w(6). 16 Let w be 2 + 1/1 + -1. Suppose -2*d - a + w*a = 807, 2*d = -a - 809. Let n = d + 1201/3. Find the common denominator of -25/6 and n. 6 Suppose 2 = 3*r - 2*r. Suppose 3*o + 22 = 70. Suppose 0 = -r*j + 6*j - o. What is the smallest common multiple of j and 1? 4 Let h be (-156)/20 + (-1)/5. Find the common denominator of -8/9 and 3 + (-1)/h*-74. 36 Let o = 9 + -2. Let w = o + -5. Calculate the smallest common multiple of w and 4. 4 Find the common denominator of 3/(-3)*1 + (-69)/(-48) and 53/18. 144 Let b be (2 + -3)*0 - -7. Let x = b - 5. Calculate the lowest common multiple of 14 and x/(-9) - 56/(-9). 42 Let f = 97302926 - 67433356. Let z = -17772387734/595 + f. Let v = 2/119 + z. Calculate the common denominator of v and 37. 5 Calculate the common denominator of -62/25 and (-2)/(-5) + 584/(-60). 75 Let f = 7657/7184 - 3/898. Let h = 12538/5 + -66397/20. Let o = h + 35613/44. Calculate the common denominator of f and o. 176 Let z be 2/3 - (-11)/(-3). Let g be ((z/(-86))/3)/1. Let s = g - 27/473. Calculate the common denominator of 83/10 and s. 110 Suppose 5*v - 3*x - 5 = 0, -3*v - 3*x = -0*v - 3. Let t(w) = 22*w. What is the smallest common multiple of t(v) and 14? 154 Let s be 2 - 1/((-453)/(-926)). Let m = 695090719 - 3148760934167/4530. Let x = m - s. Calculate the common denominator of x and 85/22. 110 Let p = -6/1181 + 147913/56688. Calculate the common denominator of p and 53/30. 240 Let g = -623/3 + 196. What is the common denominator of -50/3 and g? 3 Let u = 112 + -91. Calculate the least common multiple of u and 27. 189 Let h be (1/4)/(11/88). Let q(t) = -t + 3. Calculate the least common multiple of 11 and q(h). 11 Let f = -2747/2 + 1244. Suppose s = 19 + 108. Let p = s + f. Find the common denominator of p and -101/18. 18 Suppose -2*o + o = 1, o = 4*p - 25. What is the smallest common multiple of p and 2? 6 Let l(a) = 33*a**2 + a. Let w be l(1). Let b = w - 20. Calculate the smallest common multiple of 8 and b. 56 Let r(y) = 3*y + 7. Let x = 18 + -13. Calculate the lowest common multiple of r(x) and 14. 154 Let q(c) = -c**3 - 10*c**2 - 11*c. Let i be q(-9). Find the common denominato
{ "pile_set_name": "DM Mathematics" }
ten thousand? 5460000 Round -0.00000200678 to seven decimal places. -0.000002 What is -0.006767462 rounded to three dps? -0.007 What is 0.000095881 rounded to six dps? 0.000096 Round 193.668 to the nearest ten. 190 What is -0.00183034 rounded to 4 decimal places? -0.0018 Round -46397110 to the nearest one hundred thousand. -46400000 What is -0.000614614 rounded to 6 dps? -0.000615 What is 0.0036875 rounded to 3 decimal places? 0.004 Round -0.003710314 to 3 decimal places. -0.004 What is -36016.828 rounded to the nearest one hundred? -36000 What is 0.0148539 rounded to 3 dps? 0.015 Round -79.3396 to the nearest ten. -80 Round 12224423 to the nearest one million. 12000000 What is 0.000281481 rounded to 5 dps? 0.00028 What is 88942900 rounded to the nearest one hundred thousand? 88900000 What is -42332350 rounded to the nearest 1000000? -42000000 What is -0.210682 rounded to two decimal places? -0.21 Round -313.6886 to the nearest 10. -310 Round -3.010352 to 3 dps. -3.01 What is -0.00000459098 rounded to 6 dps? -0.000005 Round -7.69768 to zero decimal places. -8 What is 1536514400 rounded to the nearest one million? 1537000000 Round 5864750 to the nearest one million. 6000000 Round -0.0003244325 to 5 decimal places. -0.00032 Round -297183 to the nearest one thousand. -297000 Round 17.000446 to the nearest integer. 17 Round 12530.41 to the nearest 100. 12500 Round 0.0000180518 to 5 decimal places. 0.00002 What is 2.289272 rounded to one dp? 2.3 What is -154966 rounded to the nearest 100? -155000 Round -0.25223 to 1 decimal place. -0.3 What is -3670.38 rounded to the nearest one hundred? -3700 What is -0.388 rounded to the nearest 10? 0 Round -0.001068646 to six decimal places. -0.001069 What is 7289815 rounded to the nearest ten thousand? 7290000 Round -0.2112051 to three decimal places. -0.211 What is -144587.32 rounded to the nearest 1000? -145000 What is 5611174 rounded to the nearest ten thousand? 5610000 Round 218155.01 to the nearest 100. 218200 Round -0.0144402 to 2 decimal places. -0.01 Round 263.55257 to 1 decimal place. 263.6 Round -5.539902 to one dp. -5.5 Round 1033084.2 to the nearest one thousand. 1033000 Round -0.0006086061 to six decimal places. -0.000609 What is -17099400 rounded to the nearest 100000? -17100000 What is 35657 rounded to the nearest one thousand? 36000 What is -11108040 rounded to the nearest ten thousand? -11110000 What is -0.03198011 rounded to three decimal places? -0.032 What is -2.412494 rounded to 2 dps? -2.41 What is 0.000038913423 rounded to five dps? 0.00004 Round 0.38935 to one dp. 0.4 Round -2684.625 to the nearest 100. -2700 What is 1909770 rounded to the nearest ten thousand? 1910000 What is -0.0004039471 rounded to 5 decimal places? -0.0004 Round -359.4347 to the nearest 10. -360 What is 1593870 rounded to the nearest one hundred thousand? 1600000 What is 61665.022 rounded to the nearest 100? 61700 Round -0.000005991839 to six decimal places. -0.000006 What is -353566.64 rounded to the nearest 10000? -350000 What is -184559.8 rounded to the nearest 100? -184600 What is -64098100 rounded to the nearest 100000? -64100000 Round -45402.16 to the nearest ten. -45400 What is 0.11712798 rounded to four dps? 0.1171 Round -75.74712 to the nearest integer. -76 Round 667295000 to the nearest one million. 667000000 Round -1101.54 to the nearest integer. -1102 What is -6.87195 rounded to 2 dps? -6.87 What is 0.0844517 rounded to 4 dps? 0.0845 What is -601.5013 rounded to the nearest 100? -600 What is 863.779 rounded to the nearest 10? 860 What is -2.8363101 rounded to two dps? -2.84 Round -0.924114 to three dps. -0.924 What is -1628952.09 rounded to the nearest 10000? -1630000 What is -11.856449 rounded to one decimal place? -11.9 Round -82025400 to the nearest one hundred thousand. -82000000 What is 342100 rounded to the nearest 1000000? 0 Round -66.4866 to zero decimal places. -66 Round -0.00606863 to 5 dps. -0.00607 Round 231455000 to the nearest 1000000. 231000000 What is -2203.8 rounded to the nearest one thousand? -2000 Round -0.0000970395 to five dps. -0.0001 Round -364100.8 to the nearest 100000. -400000 Round 15.468611 to one dp. 15.5 Round 0.0195128 to 3 dps. 0.02 What is -0.0972906 rounded to 3 dps? -0.097 Round 0.00000195388 to 7 decimal places. 0.000002 Round 33046730 to the nearest 1000000. 33000000 What is -0.234964 rounded to four decimal places? -0.235 What is -37224020 rounded to the nearest one million? -37000000 What is 0.00011532 rounded to 3 dps? 0 Round 126807.23 to the nearest one thousand. 127000 What is -3040.18 rounded to the nearest ten thousand? 0 What is -35169.97 rounded to the nearest 100? -35200 Round 5.0152 to the nearest 10. 10 Round 51.744 to the nearest integer. 52 What is 1518.5146 rounded to the nearest 10? 1520 Round 11431.112 to the nearest 1000. 11000 What is -0.0019231218 rounded to four decimal places? -0.0019 What is -2.846039 rounded to the nearest integer? -3 What is -68921.17 rounded to the nearest ten thousand? -70000 What is 39231.9 rounded to the nearest 100000? 0 Round -508281 to the nearest one hundred thousand. -500000 Round 959217.1 to the nearest one million. 1000000 What is 26300.843 rounded to the nearest 1000? 26000 What is 3.24994 rounded to two decimal places? 3.25 What is -114.138 rounded to zero dps? -114 Round 3419861.7 to the nearest 1000. 3420000 Round -0.031227748 to four decimal places. -0.0312 Round 0.000034229 to four dps. 0 What is -0.00001833589 rounded to seven decimal places? -0.0000183 Round -0.0001670211 to six decimal places. -0.000167 What is -0.00749201 rounded to 3 decimal places? -0.007 What is -217058.9 rounded to the nearest 1000? -217000 What is 11702850 rounded to the nearest 1000000? 12000000 Round 29794.047 to the nearest one hundred. 29800 Round 498.1867 to the nearest one hundred. 500 What is 0.0012447935 rounded to 4 decimal places? 0.0012 What is -57001.04 rounded to the nearest ten thousand? -60000 Round 0.023455965 to three decimal places. 0.023 What is 19.0471 rounded to the nearest 10? 20 What is -0.00009542017 rounded to six decimal places? -0.000095 What is -0.00066692 rounded to five dps? -0.00067 Round -1370.42 to the nearest one hundred. -1400 What is -404.1601 rounded to the nearest ten? -400 Round 626846500 to the nearest 1000000. 627000000 What is 267759.19 rounded to the nearest 10000? 270000 What is 7871.9 rounded to the nearest one thousand? 8000 Round -170.62 to the nearest integer. -171 What is -0.000010767135 rounded to 7 dps? -0.0000108 Round 37105930 to the nearest one million. 37000000 What is 5138623 rounded to the nearest 10000? 5140000 Round -3772228600 to the nearest one million. -3772000000 What is 244.8855 rounded to the nearest one hundred? 200 What is -0.00059093712 rounded to five decimal places? -0.00059 What is -7.239319 rounded to three dps? -7.239 Round 1.2614564 to two decimal places. 1.26 What is 0.0000122671 rounded to seven decimal places? 0.0000123 Round 1920003 to the nearest ten thousand. 1920000 What is -72121.96 rounded to the nearest one thousand? -72000 What is 374500800 rounded to the nearest one hundred thousand? 374500000 What is -0.00335337 rounded to 4 decimal places? -0.0034 Round -0.0118563322 to 4 decimal places. -0.0119 What is -84.3419 rounded to the nearest integer? -84 What is -0.169126 rounded to four decimal places? -0.1691 Round -352815.4 to the nearest 10000. -350000 What is 110776.284 rounded to the nearest 100? 110800 What is -0.017305 rounded to 2 dps? -0.02 What is 293.79 rounded to the nearest ten? 290 What is 0.00008189983 rounded to 5 dps? 0.00008 Round -0.0000156639 to seven decimal places. -0.0000157 Round -0.0002765983 to six dps. -0.000277 What is -0.00642224 rounded to 3 dps? -0.006 What is 54676.1 rounded to the nearest ten thousand? 50000 What is -10.36345 rounded to 2 dps? -10.36 Round 0.04580414 to three dps. 0.046 What is -1139441 rounded to the nearest ten thousand? -1140000 Round 97.833 to the nearest 10. 100 Round 0.46208628 to 3 decimal places. 0.462 What is 125555 rounded to the nearest one thousand? 126000 Round 144528 to the nearest one thousand. 145000 Round 14843.02 to the nearest ten. 14840 What is 0.0001870558 rounded to 5 dps? 0.0
{ "pile_set_name": "DM Mathematics" }
39 in a, r, -4? a Let o = -17016/35 - -3406/7. Which is the nearest to -11/2? (a) 0 (b) o (c) -0.5 (d) 2 c Let h = -0.3 - -0.4. Let g = 898.7 - 959. Let l = g + 60. Which is the nearest to 1/2? (a) -3 (b) h (c) l b Let z = -0.02072 + 0.12072. Which is the closest to -1? (a) -1/15 (b) -0.9 (c) 1/6 (d) z b Let n = -1.01277 - -0.01277. Which is the closest to -2/7? (a) 3 (b) -3 (c) n (d) 2/7 d Let v = 5.3 - 5.5. Let s = -1 - -7. Let g be (63/42)/(s/16). Which is the closest to v? (a) -2 (b) -6 (c) g a Let u = 87151/19 - 4587. Let d be 1*-6*(-1 + -1). Suppose 0 = 2*q + 5*w - d, 2*w - 4 + 0 = 0. Which is the closest to q? (a) u (b) -2/13 (c) 10 a Let s(r) = 33 - 6*r + 30 - 14. Let p be s(9). Which is the closest to 1? (a) 1 (b) p (c) 8 a Let q = 270.8 - 271.1. Let f = 8 + -8.1. Which is the closest to 1? (a) 6 (b) 1/6 (c) f (d) q b Let r = 21.78 + -21.58. Which is the closest to 0.3? (a) -0.2 (b) r (c) 9 b Let m be (-4)/(-54) + 37100/45900. What is the closest to m in 5, 4, -3? 4 Let n = -0.3 - 0.2. Let h be 5*(2898/(-115) - -25). What is the closest to 0 in n, -8, h? n Let j = -34.61 + 34.91. What is the nearest to j in 1, 6/17, 0.4? 6/17 Let m = 612/5 - 122. Let x be 670/20 - (-24)/(-16). Which is the closest to -2/7? (a) m (b) x (c) -3 a Let f be (4/(-5))/((-402)/130 + 3). Let m = f + -37/3. What is the closest to m in 3, -2, -0.3? -2 Let h = 204 + -1432/7. Suppose 3 = 5*t + 2*b + 25, -2*t - b - 9 = 0. What is the nearest to 3 in t, h, 5? 5 Suppose 18*l - 8*l = 20. Let i = -2.1 - -2.5. Which is the closest to i? (a) l (b) -0.2 (c) -0.4 b Let v be 6 - 13/(13/(-2)). Let p be (v/(-48))/((-1)/6). What is the closest to 20 in 0, 0.3, p? p Suppose 3*o + 3 = z - 0*z, -65 = -3*z - 5*o. Let s be (-1)/(-1) + z/(-12). What is the nearest to 0.1 in s, -0.4, -1/3? s Let y be 1332/(-56) + -32 + 56. What is the closest to -1 in 2, y, -1/14, 3/4? -1/14 Suppose 6*s + 12 = 7*s - 3*l, -57 = -3*s + 2*l. Let q = 13 + -7. Let u be ((-35)/s)/((-2)/q). What is the closest to -15 in -1/3, -0.4, u? -0.4 Let g = 3467/2 - 1733. Suppose 3*p - 15 = 4*p - 4*w, -2*p = 4*w - 6. Let x be (p/10)/(7 + -10). Which is the nearest to -2? (a) g (b) x (c) -4 c Let t = -5019 + 5020. Which is the closest to -2/9? (a) 2/7 (b) 0.07 (c) 0.5 (d) t b Suppose 0 = 123*l + 67*l + 306*l - 1984. Let h = 13.2 + -12. Let d = 0.2 - h. What is the nearest to d in 0.3, l, 1? 0.3 Let g = 3623 + -54347/15. Which is the closest to 0? (a) 0.4 (b) g (c) 72/7 b Let k = -7.01 - -7.1086. Let c = k - 6.0986. What is the closest to 1/7 in 0, -1/10, c? 0 Let u = -332.0573 + 0.0573. Let l = u - -332.1. Let s = 0.5 + -1. What is the nearest to 0.3 in l, -1/9, s? l Let j = -21 + 21.4. Let q = 29.7 - 0.7. Let k = q - 28.4. What is the closest to k in -3, -0.1, j? j Let j = 33/2 + -17. Let w = -2.4 + 2. Let k = -5686 - -5686. Which is the nearest to -3/2? (a) k (b) j (c) w b Suppose 2*s + 22 = -2*r - 2*s, 17 = 3*r - 4*s. Let x be 10/(-3) + (22/(-33) - r). Which is the nearest to 2/9? (a) x (b) 3/5 (c) 0.2 c Let y be 1/5 + (-51)/(-170). Let x be (-3)/(-3) - (-1 + -16). Which is the closest to y? (a) x (b) 5 (c) -1/6 c Let r be 5/20*-2 - 1. Suppose -26*l - 24 = 26*l - 54*l. Which is the closest to -0.1? (a) l (b) r (c) -3 (d) 0.2 d Let s(q) = 3*q**2 - 123*q - 690. Let k be s(-5). What is the closest to k in -4, 1.5, -0.028? -0.028 Let h = 499 + -455. Let d be 3/(-9) - 1864/6. Let i be (-8)/h - (d/(-407) + -1). What is the nearest to 2 in 0.5, i, -0.4? 0.5 Let i = -24 - -23. Let n = -0.7286 + 0.7246. Which is the closest to i? (a) n (b) -1/6 (c) -5 b Let m = -13354 + 13385. Which is the closest to -1/3? (a) -1/9 (b) m (c) 0.5 (d) 1 a Let i = 209.08 - -31.82. Let g = -241 + i. Which is the closest to 3/10? (a) -1/3 (b) g (c) 0 c Let q = 260 - 257. Suppose q = -t - g, 1 = -6*t + 3*t + g. Which is the closest to 0? (a) 6 (b) -5 (c) t c Suppose 12 = -70*a + 72*a, -4*a = -c - 20. What is the nearest to 0.2 in 5, -0.5, c, 0.05? 0.05 Let n = -7.72 - -7.42. What is the closest to -1/4 in -3, n, 14? n Let h = 6962 - 6958. What is the closest to -1/3 in 20, -3, -0.2, h? -0.2 Let k = -866 - -866.06. What is the nearest to -2 in -7, k, -1? -1 Let i = -0.3 - -0.2. Let h = 140739 + -140735. Which is the closest to i? (a) h (b) 117 (c) -1/2 c Let i = -74.4 + 73.4. Which is the closest to 4? (a) -4/5 (b) 2 (c) 5 (d) i c Let a = -0.2543 + 4.2543. Let t = 3.1 - 3. What is the nearest to t in -0.2, 0.11, a, 1/8? 0.11 Let z = -5134 + 5129. Let i be -2 - (-46)/42 - -1. Which is the closest to 0.7? (a) z (b) 2 (c) i c Let c = 1757/9 + -195. Let v = 0.03 + 0.17. Let b = 4.4 + -2.4. What is the nearest to v in c, b, -1? c Let p = -0.21 - 0.33. Let h = p - -0.14. Let d = 645 + -640. Which is the closest to 0? (a) d (b) h (c) 0 c Let r = 3.2 + -2.8. Let w = -0.08 - -5.08. Let g be (-18)/117 + 63/156. Which is the closest to g? (a) -10 (b) r (c) w b Let p(w) = 40*w**2 - 33*w - 3. Let t be p(1). Which is the nearest to -1/3? (a) t (b) 9 (c) 0.5 c Let j = -4.81784 - 0.18216. Let x be 0 + (2 - (-1)/(-2)). Let u = -2.6 - -2.2. Which is the closest to 1? (a) u (b) x (c) j b Let z = -14/3 - -151/33. Let f be (-3)/2 + 97686/(-70148) - -3. Let g = -2/923 + f. Which is the closest to -2/7? (a) g (b) 0 (c) z c Let i = -0.363 + 0.377. Let o = i - 0.214. Which is the closest to 1? (a) -51 (b) 4 (c) o c Let p be (3/2)/(42/8). Suppose -m = h + 3, -4*m = -2*h - 4 + 28. Suppose 0 = -4*v + h*k - 6, -2*k + 12 - 6 = 0. Which is the closest to v? (a) 1 (b) 0 (c) p b Let x = 6 - 4. Let k be (-396)/54 - (4/(-6))/x. Let w = 46 - 136/3. Which is the closest to w? (a) 2/11 (b) k (c) -0.5 a Let p = -34.1 - -29.1. What is the nearest to 1.7 in 0.2, p, -0.2? 0.2 Let p = -0.18795 + -0.01205. Which is the closest to -2/331? (a) p (b) -0.3 (c) -3 a Let j = -0.01387 - 0.48613. What is the nearest to 0.2 in -1, j, -0.094? -0.094 Let r(x) = 5*x - 5. Let p = -32 + 36. Let m be r(p). Let j = 91/6 - m. What is the closest to 0.2 in 2, j, -1? j Let r = 1948/15 - 646/5. Which is the closest to -14? (a) 4 (b) 0.5 (c) r (d) 0.1 d Let q = 256.82 + -256.92. Which is the closest to -4? (a) q (b) 13 (c) -1.6 c Let n = 0.12 - 5.12. Let h = 39060 - 39059. Which is the closest to h? (a) n (b) -0.8 (c) -4 b Let j = -0.269 + -0.031. Let u(b) = b - 18. Let l be u(12). Let r be (l/15)/(12/10). What is the nearest to 2/3 in 1/20, j, r? 1/20 Let j = -1.9 - -6.3. Let x = 116.6 - 110.2. Let p = j - x. Which is the nearest to 0? (a) -1/8 (b) p (c) 6 a Let r(z) = 4*z**3 + 10*z**2 - 2. Let h be r(-4). Let u = h + 97. Let n = -20.2 + 20.1. What is the nearest to n in -0.1, -0.2, u? -0.1 Let h = -129 + 252. Let t = h - 128. What is the nearest to t in -4, -6/7, 0.2? -4 Let h = 2549.5 - 2580. Which is the nearest to h? (a) -2/15 (b) 1 (c) -0.4 c Let u = 5611/12 - 1402/3. Which is the closest to 0.2? (a) 17/6 (b) u (c) -5 (d) -3 b Let m = 0 + 0. Let x = 17.34 + -1.14. Let v = 16 - x. What is the closest to m in 0.3, v, 2/21? 2/21 Let z = -0.05 + 0.35. Let l = -93.013 - -0.013. Let d = l + 92.8. What is the closest to d in 0.06, z, -1/4? -1/4 Let k(t) = 25*t + 82. Let y(x) = -17*x - 55. Let s(l) = -5*k(l) - 7*y(l). Let w be s(-11). Let f = -45 + w. Which is the closest to -2/3? (a) f (b) -3 (c) -1 c Let d = 10 + 0. Suppose -6*q = -4*q + d. Let s be (q/120*4)/((-1)/(-2)). Which is the nearest to -1? (a) s (b) -0.3 (c) -12 a Let d = -112.5727 + 107.634. Let o = d - 0.0613. Which is the nearest to -1/6? (a) 0.5 (b) 2 (c) o a Let t be (703/76 - 9)*(-3)/3. Which is the nearest to t? (a) 0.4 (b) -36 (c) 7/6 a Suppose 5*o + 26 = 3*r, 0*r - 4 = 2*r + 2*o. Let g = -7/2 - -4. Let c be (8/40)/(7/(-140)). What is the nearest to c in g, 4/5, r? g Let z = 134 - 131. Suppose 2*p + 16 = 7*p + 3*r, 5*p - z*r - 4 = 0. Which is the closest to -2/9? (a) -2 (b) -1/9 (c) p b Let m = 190.69 - 188.69. What is the nearest to -1/3 in 1, m, -5/6, -2? -5/6 Let n = -79/5 - -16. Let x = 994 + 450. Let r = -1441 + x. Which is the closest to 3? (a) r (b) -2/13 (c) n a Let l = -0.9 - -7. Let o = 4.1 - l. Let g(v) = 3*v + 74. Let t be g(-25). Which is the closest to t? (a) 33 (b) -4 (c) o
{ "pile_set_name": "DM Mathematics" }
(b) -2/9 (c) x a Let k = -0.1139 - -0.0139. Which is the fourth biggest value? (a) k (b) 1 (c) 14 (d) -0.3 d Let t = -0.1 - -0.3. Let b = t - -0.2. Let k = 3707/2 - 1856. What is the second smallest value in 5, k, b? b Suppose 14 + 6 = 4*s. Let d(y) be the third derivative of -y**5/60 + 7*y**4/24 + 3*y**3 + 7*y**2. Let o be d(9). What is the third smallest value in o, s, 0.5? s Let x = -14 - -27. Suppose -2*v = 5*l - x, 0 = 2*v - 3*v + 5*l - 31. Which is the second smallest value? (a) v (b) -5 (c) 2/9 b Let h = 11 + -15. Let m be 5/(295/(-30) - -9). Which is the second smallest value? (a) 2/5 (b) -0.2 (c) m (d) h d Let w be (-5)/((-525)/(-282)) - (-7 - -4). Let q = -2/105 - w. What is the third smallest value in -0.5, 5, q, 4? 4 Let m be 4996/6*(-1)/6. Let l = m + 139. What is the fourth smallest value in l, 0.2, -5, -2/7? l Let i = -6 - -1. Let v = -0.0053 - 0.4947. Which is the biggest value? (a) -1 (b) i (c) 5 (d) v c Let x = -12 - -28. Let g be (-1 + 0)/(72/x). Which is the third smallest value? (a) 3 (b) -4 (c) g a Suppose -4*d = -4*z - 2*d - 190, 2*z - 5*d = -91. Let f = 46 + z. Which is the third smallest value? (a) -11/2 (b) -0.2 (c) f b Let q = -17 - -17. Suppose 4*n + n = 15. Suppose -3*g - 23 = -n*d + 13, 2*d - 5*g - 36 = 0. Which is the smallest value? (a) 2/7 (b) d (c) q c Let p = -3 + 2.8. Let n be (-5)/50 - 9/10. Which is the second smallest value? (a) -2 (b) p (c) n (d) 1/6 c Let t = -139.1 + 139. Which is the third smallest value? (a) 3/5 (b) t (c) -4/7 (d) 0.01 d Suppose 2*h = 110 - 112. What is the second smallest value in -1/6, 27/28, h? -1/6 Suppose -15 + 7 = 4*s. Let z(n) = n**2 - 1. Let g be z(s). Let i = 11.472 - 11.472. Which is the biggest value? (a) g (b) i (c) -3 a Let y = 0.158 + -1.288. Let h = 0.13 + y. Which is the third biggest value? (a) 7 (b) -2 (c) h (d) 4 c Let f(p) = -9*p + p**2 - 2*p + p**2 - 15 - 6. Let m be f(15). Let w = 1845/7 - m. Which is the second smallest value? (a) w (b) -0.2 (c) -1/6 b Let n = 0.798 - 0.398. Let t = 23.3 - 23. What is the fourth smallest value in n, t, -0.4, -4? n Let y = 13.97 + -14. Let w = y - -0.04. Let x = -0.19 - w. Which is the second biggest value? (a) 2/3 (b) x (c) 2 a Let t be (-51)/119 + 10/(-42). Let r = -1 + 1. What is the smallest value in t, 2/19, r? t Let k be 1 + (-3 - (1 - 2)). Let z be (-1 - k) + ((-15)/(-25))/(-1). Which is the fourth smallest value? (a) z (b) -1 (c) 1/5 (d) -1/5 c Suppose -3*h + 2*l - 14 = 2*h, -4 = 5*h + 3*l. Which is the biggest value? (a) h (b) -0.3 (c) -3 b Let j = 5.3 + -0.3. Let t = 68.5 - 69. Which is the smallest value? (a) t (b) -3 (c) j (d) -5 d Let s be (-5)/15 + 12/(-45). Which is the fourth smallest value? (a) s (b) -0.5 (c) -3 (d) -1/4 d Let t = -9/58 - 39/29. What is the second biggest value in t, 5, 0.06, 3? 3 Let p = 5/2 - 47/18. Which is the third biggest value? (a) p (b) 0.04 (c) -0.2 c Let g = 0.29 + -0.2. Let h = -5.05 - -4.65. What is the biggest value in g, h, -0.2? g Let u = -765.5 + 765. Which is the second smallest value? (a) -5 (b) u (c) 2/99 b Let m be ((-2)/(-4))/((-1)/(-28)). Suppose 1 = 3*z - m. Suppose 2*j + 2 = 0, z*y + 2*j + 27 = -0*y. Which is the third biggest value? (a) -1/7 (b) 4 (c) y c Let k = -24 + 348. What is the fourth smallest value in -1, k, -0.1, 3? k Let j be (-2)/(-4) - (-26)/(-20). Suppose 3*a - 55 + 7 = 0. Let g be ((-20)/16)/(2/a*2). What is the second biggest value in j, g, 1/6? j Suppose 3*m = 4*j - 28, j - 9 - 3 = 2*m. Let v be 56/20 + 2 + -4. What is the smallest value in 2, j, v? v Suppose u = 3*u + 4. Let o = -0.0846 - -3.0846. Which is the third smallest value? (a) 9 (b) u (c) 5 (d) o c Let d = -157.3 + 124. Let j = d + 33. Which is the smallest value? (a) j (b) -1/2 (c) -5 c Let g = -0.1156 - 0.1844. Which is the third biggest value? (a) g (b) 10 (c) -1/6 a Let u = -5 + 32. What is the smallest value in u, -2/9, -4/7, 3? -4/7 Let c be 10/(0 - -2) - 7. Suppose l - 5 = -2. What is the second smallest value in c, l, -4? c Let v = 107/195 + -3/5. Let u = v - -92/273. Which is the smallest value? (a) -2 (b) u (c) 0.6 a Let s = 107 + -75. Let l = 34 - s. Which is the second biggest value? (a) 3 (b) 2/9 (c) l c Let b = -61 - -306/5. Suppose 0 = -0*s + 10*s. Suppose -3*h = -x + 5, s = 2*h - 3*h - 1. What is the second smallest value in b, x, -4? b Let r be (6/(-9) + 1)*(7 - 4). What is the second biggest value in r, 22, -4? r Let l(y) = -68*y + 204. Let t be l(3). Which is the biggest value? (a) 0.2 (b) t (c) 3/8 (d) 1 d Let t = -0.8 + 0.5. Let s = 9882/13 - 9061820/11921. Let i = -1856/10087 - s. Which is the smallest value? (a) 0.1 (b) t (c) i b Let k = -261.24 + 256. Let g = -0.24 - k. What is the third smallest value in 0.03, -2, g? g Let y be (-273)/126 + (-2)/12. Which is the smallest value? (a) 1/3 (b) -1/2 (c) y c Let r = 7/2 + -1. Let a = -82/11 + 290/33. What is the second biggest value in r, a, -4? a Let d = -0.0182 + -0.1818. Which is the biggest value? (a) -2 (b) 2/3 (c) d b Let d = -0.344 - 0.056. What is the second biggest value in 3, -0.2, d, -51? -0.2 Suppose 4*o = 344 + 344. Suppose 3*r - 3*s - 339 = -r, -2*r = -4*s - o. Let g = r - 177/2. Which is the second biggest value? (a) g (b) 0.2 (c) -1 c Let n = -22.0451 - -0.0451. What is the biggest value in 4, n, 0.01, -5? 4 Let s = 31 + -45. Let v be ((-4)/s)/(18/(-14)). What is the smallest value in 5/4, v, 3/4, -8? -8 Let s = 1579 + -1576. Let k = 2 + -4. Let h be (-1)/k + (-5)/18. Which is the biggest value? (a) s (b) h (c) 2/5 a Let u = -347 + 351. What is the smallest value in u, 0.1, 10, 0.4? 0.1 Let l = 1099 + -1096. Which is the fourth smallest value? (a) -5 (b) 4 (c) 1.4 (d) l b Let z = 0.1 + -3.6. Let u = z - -3.7. What is the biggest value in 4, -10, u? 4 Let q = -0.0328 + 14.0328. What is the third smallest value in q, -0.2, 4? q Let s(f) be the first derivative of -f**4/4 - f**3 + 5*f**2/2 + f - 2. Let l be s(-4). Which is the second biggest value? (a) 4 (b) l (c) -1/3 c Let o = -0.308 - 5.692. What is the biggest value in 1/14, o, -2? 1/14 Let u = -2.093 - 0.497. Let s = u - -2.69. Let a = 3/94 + 135/188. What is the second smallest value in s, -0.4, a? s Let g(r) = r + 32. Let y be g(-40). Which is the third biggest value? (a) 3/11 (b) y (c) -5 (d) 0 c Suppose 0 = 7*m - 18*m + 33. Let h be (-3 + m)/4 + 3. What is the biggest value in -5, -0.11, h? h Suppose -5*o + 7 = 4*g, 2*g - 2*o - 26 = -0*g. Suppose k = -k + g. Let f = 327 - 2939/9. Which is the second smallest value? (a) k (b) 2/7 (c) f c Let z = -906.5 + 907. What is the fourth biggest value in z, 0.4, 1/4, 6? 1/4 Let n = -2905 - -2905.1. Let v = 3/2 - 17/10. What is the fourth smallest value in -5, n, v, -0.7? n Let x be (-16)/(-3)*3/2. Suppose 2*v + 23 = -6*w + w, -v + x = -4*w. Let h be 4/(-18) + (-114)/(-27). Which is the second biggest value? (a) h (b) w (c) 0.4 c Let l = 0.2 - -0.3. Let m = 19558 - 19558. What is the biggest value in l, m, 3, -4? 3 Let l = 0.462 + 0.038. Let s = 1 + 4. Which is the fourth biggest value? (a) 0.8 (b) -5 (c) s (d) l b Let i be (-1 - -2)*6 + (-14 - -12). Let q = 0.1 + -0.1. Which is the third smallest value? (a) 1/2 (b) 3 (c) q (d) i b Let s be -1*(-3)/36*-2. Let t = -0.29 - 64.71. Let n = t + 61. Which is the third biggest value? (a) 0 (b) n (c) s b Let v(h) = h**3 - 39*h**2 - 34*h - 230. Let k be v(40). Let s = -3 + 2. Which is the third smallest value? (a) s (b) -1/4 (c) k (d) 0 d Let t = 182 - 181.95. What is the second biggest value in t, 11/7, 2/5? 2/5 Let j = 651.8 + -653. Let l = -2 + -1. Which is the second biggest value? (a) l (b) j (c) 0.4 b Let s = 5 - 5.3. Suppose -2*g + 5*w - 4 = 7, -5*g - 2*w + 16 = 0. Suppose g = -5*l + 3*l. Which is the biggest value? (a) l (b) -3 (c) s c Let l = 0.0142 + -4.1842. Let k = -4 - l. Which is the third biggest value? (a) k (b) -0.5 (c) -5 c Suppose m + 7 = -m - w, -2*m = 5*w + 11. Let r = -335 - -2342/7. Which is the smallest value? (a) r (b) m (c) 1 b Let s = -10 + 34. Let p = 28 - s. Which is the third biggest value? (a) -1 (b) -3/5 (c) p a Let u = -7/5 - -72/55. Let k = 26.5 + -27. What is the biggest value in k, -2/
{ "pile_set_name": "DM Mathematics" }
hat comes next: -233, -248, -265, -284, -305? -328 What comes next: -168, -162, -156, -150? -144 What is the next term in -14, 5, 42, 103, 194, 321? 490 What comes next: -659, -668, -689, -728, -791, -884, -1013, -1184? -1403 What comes next: -5, -18, -25, -20, 3, 50? 127 What is the next term in 127, 250, 373, 496? 619 What is the next term in -14626, -14624, -14612, -14584, -14534, -14456, -14344? -14192 What is next in -160, -172, -208, -280, -400, -580? -832 What is the next term in 248, 479, 702, 917, 1124, 1323? 1514 What is next in 42, 87, 136, 195, 270, 367? 492 What is the next term in -1507, -1519, -1545, -1591, -1663, -1767? -1909 What comes next: -53, -108, -165, -224, -285? -348 What is the next term in 1336, 2669, 4002? 5335 What is next in -21236, -42470, -63714, -84974, -106256, -127566, -148910? -170294 What is the next term in 1073, 1045, 1005, 947, 865, 753? 605 What comes next: 14, 117, 288, 527, 834? 1209 What is the next term in -12, -20, -26, -24, -8, 28, 90, 184? 316 What is next in 43, 36, 11, -44, -141, -292, -509? -804 What is the next term in 12, 29, 56, 93, 140, 197? 264 What is next in 21, 103, 185, 267? 349 What is next in -326, -672, -1004, -1316, -1602, -1856? -2072 What comes next: -21, -51, -93, -153, -237, -351? -501 What is next in -13, -34, -55, -76, -97, -118? -139 What is the next term in 17, 60, 131, 230? 357 What is the next term in 268, 257, 246? 235 What is next in 6542, 13084, 19626, 26168, 32710? 39252 What comes next: -173, -160, -133, -86, -13, 92? 235 What is next in 69, 78, 93, 114? 141 What comes next: 43, 71, 115, 181, 275, 403? 571 What comes next: -1495, -1496, -1497, -1498? -1499 What is the next term in 13914, 13906, 13884, 13842, 13774? 13674 What comes next: 31, 130, 229, 328, 427, 526? 625 What is next in -142, -290, -450, -628, -830, -1062, -1330, -1640? -1998 What comes next: 37, 73, 107, 139? 169 What is next in -287, -572, -857? -1142 What is next in 11, 15, 7, -19, -69, -149, -265, -423? -629 What comes next: -2, 21, 40, 55, 66? 73 What is the next term in 27, 56, 123, 246, 443, 732, 1131? 1658 What comes next: 28, 32, 42, 58, 80, 108, 142? 182 What is next in -78, -155, -230, -303, -374, -443? -510 What is next in -17, 30, 195, 538, 1119, 1998, 3235, 4890? 7023 What is the next term in 3928, 3925, 3920, 3913, 3904, 3893, 3880? 3865 What is the next term in -290, -583, -874, -1163? -1450 What is next in -188, -673, -1492, -2651, -4156, -6013? -8228 What comes next: 264, 263, 262, 261, 260? 259 What is next in 129, 530, 1207, 2166, 3413, 4954, 6795, 8942? 11401 What comes next: -46, -30, -14, 2? 18 What is the next term in -25, -105, -247, -457, -741? -1105 What is next in 819, 821, 825, 831, 839, 849, 861? 875 What is next in -16, -17, -22, -31, -44? -61 What is next in 18, 23, 50, 111, 218, 383, 618? 935 What comes next: 30, 54, 80, 108, 138? 170 What comes next: -2178, -4357, -6536, -8715, -10894, -13073? -15252 What is next in 524, 521, 516, 509, 500, 489, 476? 461 What comes next: 686, 2739, 6170, 10985, 17190, 24791, 33794? 44205 What is next in -5, -27, -63, -113, -177? -255 What comes next: 232, 527, 874, 1267, 1700, 2167, 2662, 3179? 3712 What is the next term in -134, -254, -376, -506, -650, -814, -1004, -1226? -1486 What is next in 272, 1141, 2596, 4643, 7288, 10537, 14396, 18871? 23968 What is the next term in -30, -34, -38? -42 What is next in -3375, -3372, -3369, -3366? -3363 What is the next term in -341, -344, -347, -350, -353? -356 What is next in -13, 12, 59, 134, 243? 392 What is next in -1390, -2888, -4400, -5932, -7490, -9080? -10708 What is next in -34, -27, -20, -13, -6, 1? 8 What is next in -67, -111, -199, -343, -555, -847, -1231? -1719 What is next in -7, 6, 35, 80, 141, 218? 311 What comes next: -13, -31, -43, -43, -25, 17, 89? 197 What comes next: -140, -579, -1310, -2333, -3648, -5255? -7154 What is the next term in 123, 246, 369, 492, 615? 738 What is the next term in 11980, 23960, 35940, 47920, 59900, 71880? 83860 What comes next: -43, -65, -85, -103? -119 What is next in 49, 97, 145, 193? 241 What is the next term in -180, -1503, -5118, -12171, -23808, -41175, -65418? -97683 What is next in 101, 194, 299, 410, 521? 626 What is the next term in -48, -70, -68, -42, 8, 82? 180 What is the next term in 7778, 7777, 7776? 7775 What comes next: -1173, -1206, -1241, -1278, -1317, -1358? -1401 What is next in -299, -303, -317, -347, -399? -479 What comes next: -63, -121, -181, -243, -307? -373 What comes next: -6, -9, -14, -21, -30? -41 What comes next: -64, -49, -16, 41, 128, 251, 416? 629 What is the next term in -13, -83, -199, -361, -569? -823 What is next in 118, 233, 348, 463, 578, 693? 808 What is the next term in 143, 222, 303, 392, 495, 618, 767, 948? 1167 What comes next: -14, -37, -60, -83, -106, -129? -152 What is the next term in 119, 226, 307, 350, 343? 274 What is the next term in 112, 134, 182, 268, 404, 602, 874? 1232 What is the next term in 15, 105, 351, 831, 1623, 2805, 4455, 6651? 9471 What comes next: -4, 20, 78, 188, 368? 636 What is next in -25, -22, -11, 8, 35? 70 What comes next: -1, -10, -31, -70, -133? -226 What comes next: -12, -47, -132, -291, -548, -927, -1452? -2147 What is the next term in 56, 101, 140, 173, 200, 221, 236? 245 What comes next: 31644, 31636, 31614, 31572, 31504, 31404, 31266? 31084 What is next in 134, 125, 114, 101, 86, 69, 50? 29 What is next in -12, -29, -72, -153, -284, -477? -744 What comes next: 17, 62, 135, 236? 365 What is next in 13, 27, 43, 61, 81? 103 What is the next term in 47, 39, 31, 23? 15 What is the next term in 42, 54, 64, 72, 78? 82 What comes next: -11, -24, -23, -2, 45? 124 What is the next term in -43, -324, -1085, -2566, -5007, -8648, -13729, -20490? -29171 What is the next term in 27, 21, 1, -39, -105? -203 What is next in 6, 6, -2, -24, -66, -134, -234? -372 What comes next: 18, 68, 162, 306, 506? 768 What is the next term in 277, 273, 269, 265, 261, 257? 253 What is the next term in 289, 598, 909, 1222? 1537 What is the next term in 890, 894, 908, 938, 990, 1070, 1184, 1338? 1538 What comes next: -70, -137, -204, -271, -338, -405? -472 What is the next term in -8609, -8606, -8601, -8594, -8585, -8574? -8561 What comes next: -119, -503, -1151, -2069, -3263? -4739 What is the next term in 18, 37, 54, 69? 82 What comes next: -552, -1102, -1654, -2208? -2764 What is next in -55, -43, -29, -13, 5, 25? 47 What is the next term in -14, -35, -68, -113, -170, -239? -320 What is the next term in 923, 928, 933, 938, 943, 948? 953 What is next in -166, -457, -870, -1411, -2086, -2901, -3862? -4975 What is next in 518, 1046, 1578, 2114? 2654 What comes next: -192, -203, -214, -225? -236 What comes next: 0, 1, -8, -33, -80? -155 What is next in 1481, 1485, 1489? 1493 What comes next: 6, 21, 46, 81, 126, 181? 246 What is next in 23, 59, 105, 161, 227, 303? 389 What is next in -54, -66, -78? -90 What is next in -43, -87, -135, -187? -243 What comes next: -53119, -53120, -53121? -53122 What is next in -466, -930, -1394, -1858, -2322? -2786 What comes next: -19, -65, -141, -253, -407, -609, -865, -1181? -1563 What is the next term in -2174, -4354, -6534, -8714? -10894 What comes next: -500, -495, -480, -449, -396, -315, -200? -45 What is the next term in 380, 760, 1140, 1520? 1900 What is the next term in -110, -253, -396, -539, -682, -825? -968 What is the next term in -344, -345, -340, -323, -288, -229, -140? -15 What comes next: 6117, 12236, 18355, 24474? 30593 What is next in -384, -773, -1162? -1551 What comes next: -415, -820, -1225? -1630 What is next in 11, 48, 125, 254, 447, 716, 1073, 1530? 2099 What comes next: -90, -64, -24, 36, 122, 240, 396? 596 What comes next: -18, -28, -38, -48, -58? -68 What comes next: -293, -285, -273, -257, -237, -213? -185 What comes next: 309, 315, 327, 345? 369 What is next in 16, 62, 180, 406, 776? 1326 What is next in -523, -1045, -1567, -2089? -2611 What is next in 3379, 3378, 3377, 3376, 3375, 3374? 3373 What is the next term in 44, 78, 112, 146? 180 What is next in 29, 65, 105, 149, 197, 249, 305? 365 What is the next term in 50, 94, 134, 170? 202 What comes next: 5, 31, 77, 143, 229, 335, 461? 607 What is the next term in -240, -235, -230, -225, -220,
{ "pile_set_name": "DM Mathematics" }
hat is the next term in -19380, -19419, -19458? -19497 What is next in 375, 1209, 2505, 4263, 6483? 9165 What is next in 39, 61, 95, 141, 199, 269, 351? 445 What is next in -2550, -5173, -7806, -10455, -13126, -15825? -18558 What is the next term in -927, -1814, -2701, -3588, -4475? -5362 What comes next: -537418, -537421, -537424? -537427 What is next in 158, 47, -256, -847, -1822, -3277, -5308? -8011 What is next in -34, -127, -218, -307, -394, -479? -562 What is next in 88440, 88426, 88408, 88386? 88360 What comes next: 1538, 6119, 13738, 24383, 38042, 54703, 74354, 96983? 122578 What comes next: -11964, -23930, -35896, -47862, -59828, -71794? -83760 What is the next term in 1473271, 1473268, 1473255, 1473226, 1473175, 1473096, 1472983? 1472830 What comes next: 852976, 1705946, 2558914, 3411880, 4264844, 5117806? 5970766 What comes next: -125286, -125314, -125332, -125334, -125314, -125266, -125184, -125062? -124894 What is the next term in -78, -364, -834, -1476, -2278? -3228 What is next in -1441, -2841, -4241? -5641 What comes next: 12, 14, -22, -102, -232, -418, -666? -982 What is the next term in -9828, -10031, -10234, -10437, -10640, -10843? -11046 What is next in 2258, 2258, 2256, 2252, 2246, 2238, 2228? 2216 What is next in 5414, 5393, 5372, 5351, 5330, 5309? 5288 What is the next term in 72, 225, 484, 849, 1320? 1897 What comes next: -4515, -4503, -4485, -4461? -4431 What comes next: -35, -54, -89, -140, -207? -290 What comes next: -416, -369, -310, -233, -132, -1, 166? 375 What comes next: 35145, 35143, 35141, 35139? 35137 What is next in -81, -311, -681, -1191, -1841? -2631 What comes next: -188638, -188632, -188624, -188614, -188602, -188588, -188572? -188554 What is next in -7423, -7418, -7411, -7402, -7391? -7378 What comes next: 1538, 3017, 4366, 5519, 6410, 6973? 7142 What is the next term in 89, 645, 2149, 5075, 9897, 17089, 27125? 40479 What is the next term in 26529, 53053, 79575, 106095? 132613 What is next in -4391, -4554, -4717? -4880 What comes next: 216, 804, 2114, 4506, 8340, 13976, 21774? 32094 What comes next: -122, -363, -768, -1343, -2094, -3027, -4148, -5463? -6978 What is the next term in -83, -190, -347, -548, -787, -1058, -1355, -1672? -2003 What is the next term in -13977, -28518, -43061, -57606, -72153, -86702, -101253? -115806 What is next in 108488, 108480, 108458, 108416, 108348, 108248, 108110? 107928 What is next in -144, -182, -216, -234, -224? -174 What is next in 85, 109, 117, 103, 61, -15, -131, -293? -507 What is the next term in 18150, 18145, 18138, 18129, 18118, 18105? 18090 What is the next term in 114, 226, 366, 552, 802? 1134 What is the next term in -673525, -673524, -673523, -673522, -673521? -673520 What is the next term in 39587, 79137, 118687, 158237, 197787, 237337? 276887 What is the next term in 2718, 3743, 4756, 5751, 6722? 7663 What comes next: -1426801, -1426820, -1426865, -1426948, -1427081? -1427276 What is next in -706, -753, -814, -889? -978 What is the next term in -1035, -2242, -3615, -5154, -6859? -8730 What is the next term in 38348, 76694, 115040, 153386? 191732 What is the next term in -4633, -9287, -13941, -18595, -23249, -27903? -32557 What is next in -2243, -4168, -6083, -7982, -9859? -11708 What is next in 431, 435, 435, 425, 399, 351, 275, 165? 15 What is the next term in 117, 170, 209, 228, 221? 182 What comes next: 9, 31, 71, 129, 205? 299 What is the next term in -1222, -1091, -960, -829? -698 What is the next term in -5901, -5906, -5919, -5946, -5993, -6066, -6171? -6314 What comes next: -7285, -14572, -21859, -29146, -36433? -43720 What is the next term in -1044, -618, -192? 234 What is the next term in 723, 893, 1063, 1233, 1403, 1573? 1743 What is the next term in -7984, -15968, -23952, -31936, -39920, -47904? -55888 What is the next term in -245, -149, 9, 229, 511, 855, 1261? 1729 What comes next: 3995, 4009, 4025, 4043, 4063, 4085, 4109? 4135 What comes next: 40123, 40132, 40145, 40162, 40183? 40208 What is the next term in -1006, -2072, -3138, -4204, -5270? -6336 What comes next: -87, -391, -897, -1605, -2515? -3627 What comes next: 34803, 34773, 34731, 34671, 34587? 34473 What is the next term in -258, -554, -896, -1284? -1718 What comes next: -110, -302, -790, -1718, -3230? -5470 What comes next: 50939, 203707, 458313, 814751, 1273015, 1833099, 2494997? 3258703 What is next in 779, 3131, 7051, 12539, 19595, 28219, 38411? 50171 What comes next: 2117, 2126, 2133, 2138? 2141 What comes next: 160, 601, 1292, 2197, 3280, 4505, 5836, 7237? 8672 What comes next: -1067, -2174, -3289, -4412, -5543? -6682 What is next in 119932, 239881, 359830, 479779, 599728? 719677 What is the next term in -47, -73, -99, -125, -151? -177 What is next in -5957, -11875, -17753, -23591, -29389, -35147? -40865 What is the next term in 10597, 21197, 31797, 42397, 52997, 63597? 74197 What comes next: 632, 2551, 5744, 10205, 15928, 22907, 31136? 40609 What is next in -1467, -2907, -4329, -5739, -7143, -8547? -9957 What comes next: -40, 636, 2030, 4148, 6996, 10580, 14906? 19980 What comes next: -28349, -56688, -85003, -113282, -141513, -169684? -197783 What comes next: 4882, 19665, 44348, 78937, 123438, 177857? 242200 What is the next term in 4147, 4101, 4069, 4057, 4071, 4117, 4201? 4329 What is the next term in -154116, -154144, -154172? -154200 What is next in 9284, 18593, 27902? 37211 What comes next: -3544, -7233, -10936, -14659, -18408, -22189, -26008? -29871 What is the next term in -2978, -3013, -3048, -3083? -3118 What is the next term in 252, 159, 10, -195, -456, -773, -1146? -1575 What is next in -93811, -93812, -93813, -93814? -93815 What comes next: -2690, -2689, -2688, -2687, -2686? -2685 What is next in 1589, 3209, 4847, 6509, 8201, 9929, 11699? 13517 What is next in -2743, -5594, -8447, -11308, -14183, -17078, -19999, -22952? -25943 What is the next term in -166, -720, -1664, -2992, -4698, -6776? -9220 What is next in 9, -63, -265, -663, -1323, -2311? -3693 What comes next: 313, 664, 1055, 1492, 1981, 2528? 3139 What comes next: -942599, -1885200, -2827799, -3770396, -4712991, -5655584, -6598175? -7540764 What is the next term in 4871, 4675, 4457, 4211, 3931, 3611, 3245? 2827 What is the next term in 68, -40, -198, -388, -592, -792, -970, -1108? -1188 What comes next: -424, -793, -1166, -1543, -1924, -2309? -2698 What comes next: -934, -7740, -26212, -62182, -121482, -209944? -333400 What comes next: 1283, 5119, 11511, 20459? 31963 What comes next: 17412, 17394, 17350, 17274, 17160, 17002, 16794? 16530 What is next in 28209, 56407, 84607, 112809? 141013 What is the next term in 3610, 14336, 32220, 57268, 89486, 128880, 175456? 229220 What comes next: -1985231, -1985232, -1985233, -1985234, -1985235? -1985236 What is next in -269, -578, -887? -1196 What comes next: 329, 469, 831, 1523, 2653, 4329? 6659 What is the next term in 1112, 1125, 1138? 1151 What is the next term in -69, -261, -579, -1023, -1593? -2289 What comes next: -2472, -2485, -2508, -2541, -2584, -2637? -2700 What is the next term in -21690, -43382, -65074, -86766? -108458 What is the next term in -6946, -27772, -62478, -111064, -173530? -249876 What is the next term in -60827, -60837, -60853, -60875, -60903? -60937 What comes next: 776371, 776370, 776369, 776368, 776367? 776366 What comes next: -12426, -24852, -37278, -49704, -62130, -74556? -86982 What is the next term in 929, 1836, 2743? 3650 What comes next: 1933, 3856, 5777, 7696, 9613, 11528, 13441? 15352 What comes next: -472, -987, -1568, -2221, -2952? -3767 What is next in -1016, -556, -96, 364, 824? 1284 What is the next term in 5947, 5959, 5971, 5983? 5995 What is the next term in -60623, -60633, -60647, -60665? -60687 What comes next: 76034, 152081, 228126, 304169, 380210, 456249, 532286? 608321 What comes next: 580, 2324, 5234, 9310, 14552? 20960 What is next in 1262625, 1262626, 1262627, 1262628, 1262629? 1262630 What is the next term in 21338, 21344, 21362, 21398, 21458, 21548, 21674? 21842 What comes next: 50576, 50577, 50578, 50579? 50580 What comes next: 43408, 43405, 43402, 43399? 43396 What is the next term in -26211, -26210, -26209? -26208 What comes next: 38, 48, 58, 68, 78? 88 What is the next term in -147, -674, -1207, -1746, -
{ "pile_set_name": "DM Mathematics" }
Suppose -d + 3*g = -r, -2*d + g = -7*d + 10. What are the prime factors of d? 2 Let d = 11 - 5. Suppose -4*h - d = -6*h. Suppose x - 6*x = h*j - 53, -2*j + 2*x = -30. List the prime factors of j. 2 Let t be 2/(-3) + (-4)/12. Let a = t - -3. List the prime factors of a. 2 Let r(m) = m**2 - 9*m - 13. Let j be r(9). Let a = 23 + j. What are the prime factors of a? 2, 5 Let v = -3 + 5. Suppose 36 = 4*l - 2*u - u, -v*l + 4*u = -18. List the prime factors of l. 3 Suppose 3*m + 17 = -5*b, 0*m = 4*b + 5*m + 24. What are the prime factors of (b - -2) + -1 + 22? 2, 11 Let l = -27 - -56. What are the prime factors of l? 29 Let f(m) = -6*m - 19. What are the prime factors of f(-8)? 29 Let u(s) = -2*s**3 - 3*s**2 - s - 5. List the prime factors of u(-3). 5 Suppose 512 = 5*l + 4*m, 194 = 2*l - 0*m - 2*m. What are the prime factors of l? 2, 5 Let n(f) = -16*f - 21 + 4 + 7 + 2*f. What are the prime factors of n(-4)? 2, 23 Suppose 2*d - 94 = -o - 3*d, 0 = 3*d. Suppose 6 = j + 4*c, -3*c = -j - c + 12. Suppose -b + 5*k = -21, -5*b + o = -4*k + j. List the prime factors of b. 2 Suppose -222 = 11*y - 1575. List the prime factors of y. 3, 41 Let o(q) = -q**3 - 9*q**2 + 6. Let h be o(-9). What are the prime factors of 32/h*75/10? 2, 5 Let h(i) = -i**3 - 2*i**2 - 2*i. Let y(g) = -g - 6. Let a be y(-3). What are the prime factors of h(a)? 3, 5 Suppose -2*t = -4 - 0. Suppose -2*f + 2*g = 2, -5*f = 3*g + t*g - 25. What are the prime factors of 11 - 3 - 2/f? 7 Let v = -7 + 6. Let h be v*4/6*-3. List the prime factors of h*9/6*2. 2, 3 Let k = 842 + -561. List the prime factors of k. 281 Suppose -d - 3 = -2*d. Suppose 0 = 8*h - d*h - 60. List the prime factors of h. 2, 3 Let g(k) = 10*k**3 + 2*k**2 - 1. Let u be g(1). Let m(n) = -17*n**3 + n**2 - n - 1. Let y be m(-1). Let i = y - u. List the prime factors of i. 7 Suppose 0*y - 218 = -4*m + 2*y, 0 = m + 2*y - 57. List the prime factors of m. 5, 11 Suppose -67 + 64 = -s. What are the prime factors of s? 3 Let a be (-6)/(-10) + 42/30. What are the prime factors of 3 - (-12 + (-6)/a)? 2, 3 Let o(l) = -5*l**3 + 7*l**2 - 6*l + 4. Let v(g) = -6*g**3 + 7*g**2 - 7*g + 3. Let q(p) = -5*o(p) + 4*v(p). What are the prime factors of q(7)? 2, 3 Let s(p) = -p**3 + 9*p**2 + 12*p - 9. Suppose 2*t - 5*z - 10 - 35 = 0, -5*t = -4*z - 70. What are the prime factors of s(t)? 11 Suppose i + 4*x - 30 = -2*i, 2*i - 15 = -x. Suppose -12 = 2*n - i*n. Suppose -4*u + 2 = -n*u. List the prime factors of u. 2 Suppose -3*c + 25 = m, 5 = -c + 3*m - 0*m. What are the prime factors of c? 7 Let v be 3/2*4/3. Suppose 4*t + 11 - 50 = -m, -v*m + 28 = 3*t. What are the prime factors of ((-8)/t)/((-4)/30)? 2, 3 Suppose -5*z = -0*z - 90. Let d(a) = -2*a - 5. Let k be d(4). Let q = k + z. List the prime factors of q. 5 What are the prime factors of (-2)/3 + 128/12? 2, 5 Suppose -5*i - 11 = 2*r + 3, 4*r = -5*i - 8. Suppose 2*q + 8 = 0, r*h = 5*q + 50 + 9. List the prime factors of h. 13 Suppose 3*z + d = 2, -3*d - 4 = 3*z - 10. Suppose z = -2*w - 2*w + 8. Let p = w - 0. What are the prime factors of p? 2 Let b = 266 - 110. Suppose -2*a = 2*a - b. List the prime factors of a. 3, 13 Let r(i) = -i**3 - i**2 - 1. Let f be r(-2). Suppose c + 13 = 2*c + k, f*c - 34 = -4*k. Suppose c = -0*d + 2*d. List the prime factors of d. 3 Let j(d) = -d**2 + 5*d. Let a be j(4). Suppose a*n = 2*n + 8. List the prime factors of (-1 - -3)*n/2. 2 Let b be 14/((-1)/(3/(-3))). Suppose 0 = 3*y - 5*y + b. Suppose -2*f = -y*f + 45. List the prime factors of f. 3 Let m(d) = -d**2 - 4*d - 17. Let t be 2/(-2) + 2 - 7. Let j(p) = 2*p**2 + 7*p + 35. Let r(z) = t*j(z) - 13*m(z). What are the prime factors of r(-9)? 2 Suppose -3*n + 2*q = -7, 2*n + q = 7*n - 14. Let j(s) = -3*s**2 + 2*s + s**n + 2*s**3 - 3 + 4. What are the prime factors of j(2)? 17 Let l(k) = 2*k - 12. Let d be l(9). List the prime factors of d/(-4) - (-43)/2. 2, 5 Let n(q) = 3*q**3 - 3*q**2 - 3*q - 21. Let m(o) = -10*o**3 + 10*o**2 + 10*o + 62. Let v(i) = -2*m(i) - 7*n(i). What are the prime factors of v(0)? 23 Suppose -2*y - 3*i = -59, y + 4*i - 6 = 36. Let s = 37 - y. List the prime factors of s. 3, 5 Suppose 2*h - h = 4. Suppose -h*a = -9*a - 10. Let c(x) = -2*x - 2. List the prime factors of c(a). 2 Let i(s) = 4*s - 4*s - 3 + 14 + s. What are the prime factors of i(-8)? 3 Let d = -7 - -9. Let o be 67/d*(-1 - -3). Suppose 2*j = 3*f + 7*j - o, -f + 3*j - 1 = 0. What are the prime factors of f? 2, 7 Suppose -v + 14 = 3*u - 2*u, 4 = -4*v. Suppose 5*f - u = 2*f. What are the prime factors of f? 5 Suppose -9*w + 81 = -8*w. List the prime factors of (w/6)/(4/8). 3 Let x(v) = 0*v + 0*v + 2*v. Let d = 2 + -1. List the prime factors of x(d). 2 Let t(y) = -4*y**3 - 4*y**2 - 5*y + 3. Let v = -11 - -7. Let h be t(v). What are the prime factors of h/15 + (-1)/3? 2, 7 Suppose 4*r - 3 = 5*h + 85, -h = -5*r + 110. Suppose 3 = -3*p - 3*o, -3*p + r = -2*o - 0. Suppose i + 4 = 0, 3*s + p*i - 29 = -2*s. List the prime factors of s. 3 Suppose 0 = 5*r - 5*l + 30, 4*r - 9 + 36 = 5*l. List the prime factors of ((-1)/r)/(1/51). 17 What are the prime factors of 6 + -3 - 15/(-3)? 2 Let c = 0 - -3. Suppose -38 = -3*b - 2*v, -v - c + 16 = b. What are the prime factors of b? 2, 3 List the prime factors of ((-12)/8)/1*-74. 3, 37 Suppose -7*a - 504 = -11*a. List the prime factors of a. 2, 3, 7 Let c be (2/4)/(1/4). Let h = 10 - 1. Suppose l + h = c*l. What are the prime factors of l? 3 Suppose -4*s + 5*u - 31 = 0, -2*s + 0*u + 2*u - 14 = 0. Let i be (-1 - 3)/(s/34). Suppose 0 = 2*q - i + 8. List the prime factors of q. 13 Let m = 10 + -5. Let r = -4 + m. Suppose -r - 3 = -s. What are the prime factors of s? 2 Suppose -3*x - 8 = -7*x. Suppose -3*w = -4*g + x*g + 10, -3*w + 30 = 3*g. List the prime factors of g. 2 Let y(m) = -2*m**3 - 4*m**2 + m - 1. Let w be y(-3). List the prime factors of w/7*(10 - -2). 2, 3 Suppose -z - 8 = -2*r, -z = 4*r - 14 - 8. What are the prime factors of (-1 + 0)/(z/(-38))? 19 Let y(z) be the third derivative of z**6/120 - 3*z**5/20 + z**4/24 - 7*z**3/6 + 2*z**2. Let a be y(9). Let n = a - -6. List the prime factors of n. 2 Suppose 3*f = 2*b - 6, -6*f = -f. Suppose 3*v - 6 = -3*t, b*v - 5*t = v + 39. What are the prime factors of v? 7 Suppose 0 = 4*p + 5 + 15. Let g = 8 - p. What are the prime factors of g? 13 Let d(s) = s**3 - 8*s**2 - 9*s - 5. Let a be d(9). Let l(u) = u + 6. Let b be l(-6). List the prime factors of 1/2*b - a. 5 Let f(p) = 10*p + 7. What are the prime factors of f(2)? 3 Suppose 0 = -2*b - 2*l + 44, 0 = 3*b + l - 4*l - 66. What are the prime factors of b? 2, 11 Let c(x) = -x - 7. Let a be c(-10). Suppose -27 = -0*b - a*b. List the prime factors of b. 3 Suppose -16 = 2*r - 74. Suppose 0 = -0*v + 2*v - d - 58, 0 = -v + d + r. List the prime factors of v. 29 Suppose -8*q + 474 = -1062. What are the prime factors of q? 2, 3 Let a = -71 - -104. What are the prime factors of a? 3, 11 Suppose 2 = -2*k, 2*k - 133 = -3*v + 6*k. What are the prime factors of v? 43 Let f(k) = -k**3 + 6*k**2 + 6*k - 24. List the prime factors of f(6). 2, 3 Suppose 4*n - 138 = 170. What are the prime factors of n? 7, 11 Let d = -21 + 41. Suppose 6*h - d = 4*h. What are the prime factors of h? 2, 5 Let g(s) = -s**3 + 14*s**2 - 11*s - 23. List the prime factors of g(12). 7, 19 Let k be -5*(-1 - (1 - 1)). Let d(c) = 2*c + c + k*c - c**2. List the prime factors of d(7). 7 Let m = -4 - -8. Suppose -m*z = -8 - 0. What are the prime factors of z? 2 Let h be (-3 - -2)/(2/(-32)). Suppose -h = -5*x - 6. What are the prime factors of (-4)/(-1)*x + 2? 2, 5 Let h = 431 - 147. What are the prime factors of h? 2, 71 Suppose -286 = -y - 12*y. Suppose -5*d = -6 + 56. Let r = y + d. List the prime factors of r. 2, 3 Let x(k) be the second derivative of k**5/5 - k**3/3 + k**2/2 - 2*k. Let y be x(1). Suppose -6*m + 9 = -y*m. List the prime factors of m. 3 Suppose 9*f - 20*f + 3366 = 0. What are the prime factors of f? 2, 3, 17 Suppose 0 = -j - 4*x + 19, -3*j - x + 8 + 49 = 0. List the prime factors of j. 19 Suppose 0 = t + 3*g - 0*g - 5, -t = 2*g - 4. Let x = 15 - 9. Suppose -2*d + t = -x. What are the prime factors of d? 2 Let p(y) = -2*y - 40. Let m be p(-17). Suppose 0 = -2*i + i + 6. List the prime factors of i*1/m*-2. 2 Suppose s - 14 = 6. Suppose f + 4*
{ "pile_set_name": "DM Mathematics" }
- 5. What is the units digit of w(-6)? 1 Let l(m) = m**2 + 16. Let i be l(0). Suppose 5*r - 2*v = 16, -4*r + 3*v - 6 = -i. Suppose 24 = 2*p - 3*c, -r*c - 9 - 37 = -5*p. What is the units digit of p? 6 Let f(v) = 7*v + 1. Let c be f(-1). What is the units digit of (-4)/c*21/2? 7 Suppose 4 = 4*v - k - 12, k = 0. Let z = v + 6. Suppose z + 0 = n. What is the units digit of n? 0 Suppose -6*z + 4*z = 6. Let g(c) = -c**3 + c - 1. What is the tens digit of g(z)? 2 What is the tens digit of (-35)/(-2) - (-4)/8? 1 What is the units digit of (-4190)/(-30) - 1/(-3)? 0 Suppose -u - 4*p + 12 = 0, 6*p - p = -2*u + 15. Suppose u = -q - q + 16. What is the units digit of q? 8 Let c(y) = 2*y + 10. Let s = -6 + 14. What is the tens digit of c(s)? 2 Let l = 2 + -4. Let b be 7/3 - l/(-6). Let d(r) = 2*r**2 - 2*r + 1. What is the units digit of d(b)? 5 Let i(d) = -d - 3. Let g be i(0). Let s(k) be the third derivative of -k**4/24 - k**3/3 + k**2. What is the units digit of s(g)? 1 Let m(q) = -31*q + 20. What is the units digit of m(-3)? 3 Let j(p) = -p**3 - 6*p**2 + 5*p - 5. Let w be (-1)/2 - (-26)/(-4). What is the units digit of j(w)? 9 What is the units digit of (-3)/15 + 271/5? 4 Let r be (-8)/52 - 89/13. Let b(i) = -2*i - 4. Let v be b(r). Let z = v - 1. What is the units digit of z? 9 Suppose 0 = 6*w - 2*w + 8. Suppose -3 = b - 2. What is the units digit of (w + 1*-7)*b? 9 Let o = 34 - 19. What is the units digit of 220/8*18/o? 3 Suppose -4*l + 88 = -2*t, 3*t + l = 2*t - 59. Let s = t + 96. Suppose 5*w = 2*w + 5*u + 22, -5*w + s = -3*u. What is the units digit of w? 9 Suppose -4*h - 4 = 4. Let n be (16/6)/(h/(-3)). Suppose 32 = 4*b + n. What is the units digit of b? 7 Let s(l) = 6*l - 1. Let q(o) = -11*o + 3. Let b(t) = -3*q(t) - 5*s(t). Let j be -1*2/6*-15. What is the tens digit of b(j)? 1 Suppose -4*g - 112 = -x, -5*x + 81 = -3*g + 14. Let d = -21 - g. What is the units digit of d? 8 What is the tens digit of (-222 + 1)/(-1) + 6/2? 2 Suppose 1 = 4*a + 4*x + 5, -a + 19 = 5*x. Let f(c) = c**3 + 5*c**2 - 8*c - 6. What is the units digit of f(a)? 6 Let m be (-1)/(-3) - (-66)/18. Suppose r - 4*s - 7 = -0*s, -3*s = -m*r + 80. What is the tens digit of r? 2 Let t(r) = 19*r - 9. What is the units digit of t(4)? 7 Suppose 0*c - c + 49 = 0. What is the units digit of c? 9 Suppose 4*s + 2*g - 8 = 0, 3*s + 3*g = 6 - 0. Let v be (6/(-9))/(s/(-3)). What is the units digit of (-5 - -3)/(v/(-4))? 8 Let w be 1*-36*(-2 + 1). Let q be 531/(-21) - (-2)/7. Let u = w + q. What is the tens digit of u? 1 Let u be (3 - 6)*(-86)/6. Let d = 70 - u. What is the tens digit of d? 2 Suppose -103 - 389 = -2*z. What is the hundreds digit of z? 2 Suppose -3*h + h = 0. Suppose -2*c - 17 + 7 = h. Let z(w) = w**2 + 5*w + 5. What is the units digit of z(c)? 5 Suppose 4*o = -3*p + 7, -2 + 6 = -o + 5*p. What is the units digit of o*-10*(-1)/2? 5 Suppose -3*o + 2*o = -2. Let m(l) = 6*l + 1. What is the units digit of m(o)? 3 Let p(s) = -s**3 + 3*s**2 - 3*s. Let l be p(2). Let f = 4 + l. What is the units digit of (0 - -2)*f*2? 8 Let l = -21 + 31. What is the units digit of l? 0 Suppose -2*u = 8*u - 1320. What is the units digit of u? 2 What is the units digit of (2/2)/(150/(-156) + 1)? 6 Suppose -5*w = -a + 2*a - 44, -4*w - 4*a + 48 = 0. What is the units digit of w? 8 Let y = -9 + 18. Suppose a - 5*c + 3 = 5*a, 5*c = 2*a - y. What is the units digit of a? 2 Let q(l) = 35*l**2 - l. What is the units digit of q(-1)? 6 Let c = 9 + -6. Let b = 3 - c. Suppose b = -5*p + p + 24. What is the units digit of p? 6 What is the tens digit of 2/(-6) + 182/6? 3 Let b(g) = g**3 - g**2 - 2*g - 3. Suppose h - 4*h = -9. What is the units digit of b(h)? 9 Suppose 0*q + 2 = 4*q - 2*c, 3*q = 4*c + 14. What is the units digit of 100/8 - q/4? 3 Suppose 34 = -6*v + 4*v. Let l be (v - -3)*(-6)/4. Suppose o = -2*o + l. What is the units digit of o? 7 What is the tens digit of (2 + -3)*(-9 - 33)? 4 Suppose 6*f - 162 = 4*f. What is the units digit of f? 1 Let o(r) = -2*r + 3. Let b be o(9). Let s = 32 + b. What is the tens digit of s? 1 What is the tens digit of 799/9 + 6 + (-4)/(-18)? 9 Suppose -4*l + 3*v + 1538 = 0, -5*l + 2*v + 859 + 1067 = 0. What is the units digit of l? 6 Suppose 0 = 2*h + 4*r - 624, 0*r = -h + 2*r + 320. What is the units digit of h? 6 Let p = -13 - -68. What is the units digit of p? 5 Suppose 0 = -3*m + 86 - 8. What is the tens digit of m? 2 What is the tens digit of ((-558)/(-12) - 6)*(-8)/(-6)? 5 Suppose j + 4 = 0, 16 = -2*u - 2*j - 2*j. Suppose u*i = 4*s + 2*i - 104, 4*i + 80 = 4*s. What is the tens digit of s? 2 Let x(s) = s**2 + 7*s + 3. Let l be x(-7). Suppose 4*m - 7*m + l = 0. What is the units digit of m? 1 Let i = 9 + -6. Let r = -3 + i. Suppose -2*x + 10 = -r*x. What is the units digit of x? 5 Suppose -2*n - 2*t = 3*t - 47, 134 = 5*n - 4*t. What is the units digit of n? 6 Let x(r) = -r - 1. What is the units digit of x(-2)? 1 Let z(f) be the third derivative of 0*f + 0 + 1/24*f**4 + 4*f**2 - 1/120*f**6 + 1/10*f**5 + 1/6*f**3. What is the units digit of z(6)? 7 Suppose -w + 3 = -o, 3*o + 0*o - w = -3. Suppose v - 85 = -4*m, 0*v + 3*v - 3 = o. What is the units digit of m? 1 Let l be (-2)/(-3)*(-5 + 8). Suppose -l*m + 4*s = -s - 76, 0 = -3*m - s + 97. What is the units digit of m? 3 Let p(i) = -i**2 + 11*i - 4. Let v(h) = -2*h**2 + 21*h - 7. Let r = -8 + 2. Let j(s) = r*v(s) + 11*p(s). What is the units digit of j(7)? 2 Let d(y) = y**2 - y**2 - y + 3*y - 3 + 2*y**2. Let t be d(-4). Suppose 2*a = 4*x + x + t, -4*a - 2*x = -30. What is the units digit of a? 8 Suppose 0 = -5*b + 146 + 34. What is the tens digit of b? 3 Suppose 4*p + 8 - 72 = 0. Let j = -10 + p. Let f = j + -2. What is the units digit of f? 4 Let x(c) = 3*c - 4. Let u be 3 - 0 - 0/2. Let m be x(u). Suppose -m*o + 7*o = 14. What is the units digit of o? 7 Let u be -2 - 1*-3 - 1. Suppose 48 - 4 = 4*k - 4*m, u = 3*m + 9. What is the units digit of k? 8 Suppose -4 = 3*y + 11. Let b(d) be the third derivative of -d**6/120 - d**5/10 - 7*d**4/24 - d**3 - 2*d**2. What is the units digit of b(y)? 4 Let r = -4 - -6. Suppose -r*q + 12 = q. Let x = q + -2. What is the units digit of x? 2 Let l(h) be the first derivative of h**4/4 + 7*h**3/3 + 4*h**2 + 5*h + 1. Let g = 6 - 11. What is the tens digit of l(g)? 1 Suppose 5*v - 90 = -0*v + 4*l, 2*v - 18 = -2*l. Let p = 21 - v. Let d(b) = b**2 - 5*b + 2. What is the units digit of d(p)? 6 Suppose 5*b - 294 = 186. What is the tens digit of b? 9 Suppose -2*v = 2*v - 12, 8 = -p + 2*v. Let t be (p + 1)*(-1 - -1). Let b(f) = -f + 12. What is the units digit of b(t)? 2 Let z = 86 - 82. What is the units digit of z? 4 Let m(z) be the third derivative of 0 + 1/8*z**4 + 0*z - 1/120*z**6 + 1/10*z**5 - 3*z**2 - 3/2*z**3. What is the units digit of m(6)? 9 Let f = -26 + 87. What is the tens digit of f? 6 Let y(l) = -l**3 - 4*l**2 + 5*l + 6. Let v be y(-5). Let f be (-2)/v - 129/(-9). Suppose -2*j + 6 = -f. What is the tens digit of j? 1 Let m = 19 + -16. What is the units digit of m? 3 Suppose -8 = -2*i + 22. What is the units digit of i? 5 Let r(t) = 2*t**2 - 2*t - 2. Let f be r(-2). Let o be ((-32)/f)/((-3)/15). Suppose -3*p + 4 = 2*w - o, 0 = p + w - 6. What is the units digit of p? 8 Suppose -5*r = -3*l - 224, r - 136 = -2*r + l. Suppose 4*b - 2*q - 80 - r = 0, -3*q + 9 = 0. What is the units digit of b? 3 Suppose -5*s - 4*x - 2 = 38, -2*s - 2*x - 18 = 0. Let h(v) = -v**2 - 6*v - 1. What is the units digit of h(s)? 7 Suppose -4 = -4*l + 4, 0 = -3*n + l + 682. What is the units digit of n? 8 Let o be 87/(-2)*(5 + -7). Suppose -f = -4*k + 81, 4*k - o = f - 2*f. What is the units digit of k? 1 Let y = -1 + 5. Suppose y*k - 5 = -k. What is the units digit of k/1*(-4 + 6)? 2 Let n(l) = -l**3 + 21*l**2 - 28*l + 22. What is the units digit of n(19)? 2 Suppose 4*j + 0 = 12. Suppose -j*a + 18 = n - 4*n, -5*n = 0. Suppose -4*y + a = -2*y. What is the units digit of y? 3 Let v(y) = 86*y**2 + y. What is the tens digit of v(1)? 8 Let i(w) = w + 4. Let q be i(6). Suppose 2*d - 22 = -d - 5*c, -q = -5*c. Suppose d*n + 12 = 60. What is the units digit of n? 2 Let z = -91 + 152. What is the tens digit of z? 6 Suppose -2*k + 2 = -k. Suppose 2*f - 2*j - 12 = 0, -k*f - j - 3*j + 6 = 0. What is the units digit of f? 5
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in 802*p - 1611*p + 125*p**3 - 124*p**3 + 809*p. p**3 Collect the terms in -22*l + 53*l + 47*l. 78*l Collect the terms in -11 + 0*x + x + 2. x - 9 Collect the terms in 2*w**3 + w**3 - w**3 - 31*w**2. 2*w**3 - 31*w**2 Collect the terms in 6*o + 1 + 8*o - 5*o - 3. 9*o - 2 Collect the terms in -6*a + 0*a + 97*a**2 + 6*a. 97*a**2 Collect the terms in -2*j**3 + 16*j**3 - 31*j**3. -17*j**3 Collect the terms in 63*h**3 + 62*h**3 - 191*h**3 + 68*h**3. 2*h**3 Collect the terms in n - 5*n + 5*n. n Collect the terms in 8 + 2 - 7 - 5*v**2 - 3. -5*v**2 Collect the terms in -73*y**3 - 3*y + 3*y + 68*y**3. -5*y**3 Collect the terms in 50*l - 133*l - 192*l. -275*l Collect the terms in 8 - 4 - 4*y**2 - 4. -4*y**2 Collect the terms in 37*a**2 - 2 - 2*a + 2. 37*a**2 - 2*a Collect the terms in -37018 + 37018 - w. -w Collect the terms in -2059*f + 2059*f + 13*f**2. 13*f**2 Collect the terms in -6 + k**2 + 0*k**2 + 6. k**2 Collect the terms in 3 - 1 - 60*j**3 - 2. -60*j**3 Collect the terms in 13*s + 13*s - 19*s. 7*s Collect the terms in -112*g**2 - 6*g**3 + 112*g**2. -6*g**3 Collect the terms in 145*r**2 + 239*r**2 + 288*r**2. 672*r**2 Collect the terms in 13*a**3 - 632*a**2 + 632*a**2. 13*a**3 Collect the terms in -161*s + 0 - 159*s + 0 + 312*s. -8*s Collect the terms in -2220*n - 2220*n + 4436*n. -4*n Collect the terms in 3*d**3 + 8*d**3 - 4*d**3 + 5*d**3. 12*d**3 Collect the terms in 12*y**2 + 0*y**2 + 2*y**2. 14*y**2 Collect the terms in -2*n + 3210 - 3210. -2*n Collect the terms in 3*z**2 - 58 - 93 + 151. 3*z**2 Collect the terms in -319 - 6*x + 634 - 315. -6*x Collect the terms in 2*d**2 + d**2 + 2*d**2. 5*d**2 Collect the terms in -4*j**3 - 28*j**3 - 1 + 1. -32*j**3 Collect the terms in 77*h**2 + 10 - 22 + 12. 77*h**2 Collect the terms in 17*n**3 + 7*n**2 + 0*n**2 + 9*n**3. 26*n**3 + 7*n**2 Collect the terms in 0*f**2 + 0*f**2 - 2*f**3 - 23*f**3. -25*f**3 Collect the terms in -27*a**2 + 8*a**2 + 5*a**2 + 2*a**2 + 13*a**2. a**2 Collect the terms in 5*i**2 + 0*i**3 + 11*i**2 - 2*i**2 - 6*i**3. -6*i**3 + 14*i**2 Collect the terms in -4*a - 7*a**2 - 25*a + 29*a. -7*a**2 Collect the terms in 1 - 6 + 2*g - 4*g - 5*g. -7*g - 5 Collect the terms in 4*p - p - 6*p. -3*p Collect the terms in 103*i**2 - 16*i**2 - 50*i**2. 37*i**2 Collect the terms in 0*u**2 + 2*u**2 - u**2 - 2*u**2. -u**2 Collect the terms in 6*p**3 + 5*p**3 - p**3 + 17*p**3. 27*p**3 Collect the terms in -377*o**3 + 1148*o**3 - 381*o**3 - 385*o**3. 5*o**3 Collect the terms in 65*v**3 + 131*v**3 - 262*v**3 + 67*v**3. v**3 Collect the terms in -335*l**3 + 12*l - 5*l + 333*l**3. -2*l**3 + 7*l Collect the terms in 2*o**3 - o**3 - 24*o**2 - 3*o**3. -2*o**3 - 24*o**2 Collect the terms in -2*v**3 + 9*v**2 + 21*v**2 - v**3. -3*v**3 + 30*v**2 Collect the terms in 6*m - m + 4*m. 9*m Collect the terms in -2*s**2 - 4*s**2 + s**2 + 5*s**2 + 2*s**2. 2*s**2 Collect the terms in -21*b**3 + 37*b**3 + 32*b**3. 48*b**3 Collect the terms in 13336*i - 26669*i + i**2 - 2*i**2 + 13333*i. -i**2 Collect the terms in -6*m**2 + 6*m + 15*m**2 - m. 9*m**2 + 5*m Collect the terms in -11*a + 1777 - 1777. -11*a Collect the terms in -83*f**2 + 3*f**2 - 29*f**2. -109*f**2 Collect the terms in -22 - 17*v + 22 + 19*v. 2*v Collect the terms in -11*g**2 - 4*g - g + 5*g. -11*g**2 Collect the terms in -2662*y - y**2 + 2662*y. -y**2 Collect the terms in 56*c - 25*c + 59*c**3 - 31*c + 2*c**2. 59*c**3 + 2*c**2 Collect the terms in 9503 - s**2 - 9503. -s**2 Collect the terms in -1 + 4*m + 0 + 0*m - 3*m. m - 1 Collect the terms in 2*g**2 + 3 - 20*g + 0 - 3. 2*g**2 - 20*g Collect the terms in -228*u**2 + 120*u**2 + 115*u**2. 7*u**2 Collect the terms in -29*f**3 - 22*f**3 + 12*f**3 - 20*f**3. -59*f**3 Collect the terms in -117*i**2 + 302*i**2 - 190*i**2. -5*i**2 Collect the terms in -2*r**2 + 7280 - 7280. -2*r**2 Collect the terms in -15*a - 50*a**3 - 44*a**3 + 15*a. -94*a**3 Collect the terms in 35*w - 121*w + 45*w + 44*w. 3*w Collect the terms in -273*q**2 + 51*q**2 - 61*q**2. -283*q**2 Collect the terms in -558294*p + p**3 + 558294*p. p**3 Collect the terms in -16*b**2 + 19*b**3 + 16*b**2 + 14*b**3. 33*b**3 Collect the terms in -7*w**3 - 5*w + 4*w + w. -7*w**3 Collect the terms in t + 2 - 2 - 2 + t. 2*t - 2 Collect the terms in -42*u**2 + 20*u**2 + 23*u**2. u**2 Collect the terms in -3 - 1 + 30*j**2 + 4. 30*j**2 Collect the terms in 92 - 56 - 8*r - 36. -8*r Collect the terms in 8*c**3 + 2 + 2 - 4. 8*c**3 Collect the terms in 7*m - 7*m + 141*m**2. 141*m**2 Collect the terms in 6 + 731*r - 11 - 729*r + 5. 2*r Collect the terms in 19 - 20 - 3*r**2 - 10*r**2. -13*r**2 - 1 Collect the terms in -6*i - 9*i - 14*i + 27*i. -2*i Collect the terms in 11 + 0*s - 2 - 6 + 18*s. 18*s + 3 Collect the terms in 2818 - 21*o**2 - 2818. -21*o**2 Collect the terms in -58*f + 35*f + 45*f. 22*f Collect the terms in -4*r**2 - 826*r + 826*r + 0*r**2. -4*r**2 Collect the terms in 9*y**2 + 15*y**2 - 21*y**2. 3*y**2 Collect the terms in -13*j - 7*j - 8*j + 29*j - 3*j. -2*j Collect the terms in 2378*g**3 - 790*g**3 - 793*g**3 - 792*g**3. 3*g**3 Collect the terms in 5 + 2094*j**2 - 5 + 394*j**2. 2488*j**2 Collect the terms in 17 - 65 + 28 + 20 - f. -f Collect the terms in 55*u**2 - 22*u**2 - 13*u**2 - 21*u**2. -u**2 Collect the terms in -1166*r + 1166*r + 2*r**2 + 0 + 0. 2*r**2 Collect the terms in 3*u - u - 5*u. -3*u Collect the terms in -2*b**3 + 0*b**3 - 50*b**2 - 2*b**3 + 52*b**2. -4*b**3 + 2*b**2 Collect the terms in -382 + 190 + 192 - 16*s**3. -16*s**3 Collect the terms in -1 - 7*b**2 + 1 + 4*b**2 + b**2. -2*b**2 Collect the terms in -12*x**2 + 8*x**2 - 7*x**2. -11*x**2 Collect the terms in 12*t + 8*t - 12*t. 8*t Collect the terms in -2*x**2 + 0*x**2 - 3*x**2. -5*x**2 Collect the terms in 17*m**3 + 0*m**3 + 4*m**2 - 5*m**3. 12*m**3 + 4*m**2 Collect the terms in 108 - 74 - 4*s**2 - 34. -4*s**2 Collect the terms in -15*c + 46*c - c - 12*c. 18*c Collect the terms in 0*n**3 + 16*n**3 - n**3. 15*n**3 Collect the terms in -2*r**2 - 2*r + 4*r**2 + 2*r. 2*r**2 Collect the terms in -w + 29*w**3 - 3 + w. 29*w**3 - 3 Collect the terms in -q**2 - 11*q**3 - q**2 + 2*q**3. -9*q**3 - 2*q**2 Collect the terms in -39*a + 39*a - 3*a**3. -3*a**3 Collect the terms in -5*m + 4*m - 23*m + 2. -24*m + 2 Collect the terms in 1078*h**2 - 55 + 55 - 1068*h**2. 10*h**2 Collect the terms in 7 - 2*l**3 - 5 - 2. -2*l**3 Collect the terms in -299*r - 305*r + 600*r. -4*r Collect the terms in 346*r**2 + 81*r - 81*r. 346*r**2 Collect the terms in 20 - 2*f**2 + 20 + 16 - 56. -2*f**2 Collect the terms in 4*n**3 + 5*n**3 - 12*n**3. -3*n**3 Collect the terms in 11*g**2 + 6*g + 9*g - 2*g**2 + 0*g. 9*g**2 + 15*g Collect the terms in 3*i**3 - i**3 + i**3 + 5*i**3. 8*i**3 Collect the terms in 5766 - 2880 + 9*s**3 + 2*s**3 - 2886. 11*s**3 Collect the terms in 27*w**3 - 21*w**3 - 2*w**3 - 2*w**3. 2*w**3 Collect the terms in -235*k**2 + 235*k**2 + 42*k**3. 42*k**3 Collect the terms in -140*h - 78*h + 216*h. -2*h Collect the terms in -10*n**3 + 0*n**3 - 31*n**3 - 5*n**3. -46*n**3 Collect the terms in -11*p**2 - 5*p**2 + p**2. -15*p**2 Collect the terms in 325*d**2 + 313*d**2 - 639*d**2. -d**2 Collect the terms in 52545*j + 23*j**2 - 52545*j. 23*j**2 Collect the terms in 2*n**3 - n**3 + n**3. 2*n**3 Collect the terms in 6*u**3 - 8*u**3 - 11*u**3. -13*u**3 Collect the terms in 894*k**3 + 870*k**3 - 1759*k**3. 5*k**3 Collect the terms in -4 + 76*i - 80*i + 4. -4*i Collect the terms in -8*h**2 + h**2 + 12 - 9*h**2 + 13*h**2. -3*h**2 + 12 Collect the terms in -19*h**2 - 14*h**2 + 28*h**2. -5*h**2 Collect the terms in 17*h + 4*h - 8*h. 13*h Collect the terms in -1057*m + 8*m**3 - 1057*m + 2114*m. 8*m**3 Collect the terms in -3*z**2 + 14*z - 35*z + 21*z. -3*z**2 Collect the terms in -14 - 30*r**3 + 14. -30*r**3 Collect the terms in 39 - 39 + 2*c**2. 2*c**2 Collect the terms in 10*n**2 + 10*n**2 + n**2. 21*n**2 Collect the terms in 0*g + 0*g + g - 10*g. -9*g Collect the terms in -3*d**2 + 5*d**2 - 3*d**2 + 0*d**2 - 5*d**2. -6*d**2 Collect the terms in 248*h - 145*h - 123*h. -20*h Collect the terms in -802 + 802 + 5*i. 5*i Collect the terms in 6*b + 3*b + 5*b + 28 - 4*b. 10*b + 28 Collect the terms in 50996 - 50996 + u**2. u**2 Collect the terms in -385 + 777 - 392 - 8*o. -8*o Collect the terms in 12
{ "pile_set_name": "DM Mathematics" }
= d*y - 3*b, -19*y - 5*b = -22*y - 10 for y. -5 Let u be 0 - (1 + 0 - -48). Let r be ((-40)/25)/((-40)/(-700)). Let j = r - u. Solve 2*w = 2*o, -4*w - w - j = 2*o for o. -3 Suppose 48*l + 4*l = -8*l + 720. Solve -l*t = 5*j - 8*t - 22, 2*t - 10 = -2*j for j. 2 Suppose -q = -3*f + 1, 9*q - 6*q = 4*f + 7. Let z be (-1 + 0)*-66 - 3. Suppose -z*l = -64*l + f. Solve 0 = -2*r + l, -g - r - 4 = -0*r for g. -5 Let h(l) = -2*l**3 - 84*l**2 + 270*l + 5. Let p be h(-45). Solve -p*m = -4*d - 28, 2*d = -7*m + 3*m + 12 for m. 4 Let o be -1 + (1 + -8)/(-7). Let x be (o - 4)/(10/(-15)). Solve 5*i - x*z + z = -5, 4*i = -z + 16 for i. 3 Suppose -297*y + 1409 - 518 = 0. Let d = 0 - -1. Let g = 11 - d. Solve -g = 3*i - w, 0*i + y*w = 4*i + 5 for i. -5 Let h = 116 - 105. Let k(z) = z**2 - 8*z - 22. Let r be k(h). Suppose -3*q - 4*x = -r, -q - 3*x + 1 = x. Solve 2*d + 23 = -q*a, -27 = -2*d + 3*a + 2*a for d. 1 Let h(w) = 8 + 2 + 5 - 6*w**2 + 7*w**2 + 11*w. Let g(a) = -a. Let y(c) = -2*g(c) - h(c). Let n be y(-6). Solve 0 = 2*o - 4*l - 2, -2*l + l + 10 = n*o for o. 3 Let v = 18259 - 18255. Solve -5*f - 12 = v*a - 6, -5*a = -4*f + 28 for f. 2 Let w be (1/2)/((-4)/(-24)). Let u(x) = -335*x + 337. Let h be u(1). Solve -1 = h*d - r, 2*d - 2 = d + w*r for d. -1 Let m(i) = i**3 - 20*i**2 + 5. Let z be m(20). Suppose 0 = 2*n - 4, -z*r + 67 + 147 = 2*n. Let h = r + -22. Solve 3*a - 4*w = -a - h, -4*w + 2 = 2*a for a. -3 Let h(r) = r**2 - 31*r - 40*r + 2 + 75*r. Let n be h(-4). Suppose 3*p + 4 - 19 = n*s, 0 = -4*s. Solve 3*u = -5*j + p, 2*u + 30 = 5*j - 0 for j. 4 Suppose 10*r + 1124 = 314. Let q = -76 - r. Solve q*c - z = -15, 0 = 3*c - 2*c - 2*z + 12 for c. -2 Let d be -4 - (25*(-4)/4 - 4). Suppose 0 = -d*w + 26*w. Solve -3*p - 14 = -p - 2*t, w = -4*p + 3*t - 25 for p. -4 Suppose -4 = -5*y + 4*y. Let s be ((-124)/(-62))/(3 + ((-448)/20)/8). Solve -y*p + s = -7*g + 6*g, -2*g + 7 = p for p. 3 Let p be 12 + -10 + -15 + 15. Solve -3 = -p*d + o, 5*o - 10 = 15 for d. 4 Let v = 4620 + -4590. Solve -d = -5*q - v, 0 = -3*q - 22*d + 19*d for q. -5 Suppose -8*p + 79 - 13 = 26. Solve 4*h = 7*o - 3*o, 4*o + p*h = 9 for o. 1 Suppose u + 6*v + 1 = 2*v, 0 = -u + 4*v + 7. Suppose 5*m + 92 = 6*m. Let h = m + -78. Solve s - 3*n = h, -4*n - 24 = -u*s - s for s. 2 Suppose -13*c + 74 = 9. Let p(a) = 6*a - 26. Let i be p(c). Solve -2*o - 4*q = -2, i*q + 0*q = 3*o + 27 for o. -5 Let h be 1981/35*5 - -6. Let t = h - 289. Solve -2*z - 10 - 4 = 3*d, t = -4*z - d - 8 for z. -1 Suppose -2*m = 3*f - 72, 2*f = -5*f + 3*m + 122. Solve 5*g = -j + f, 0*j - 4*j - g - 15 = 0 for j. -5 Let u(x) = x**3 - 15*x**2 + 37*x - 840. Let a be u(16). Solve 7*k - a = -2*b, k + 3*b = -b - 10 for k. 2 Suppose 0 = 4*u - 3*x - 32, -u - 7 = 4*x - x. Suppose -u*k = 3*s - 23 - 0, -3*s = 3*k - 15. Let j = -11 + 14. Solve -b + 11 = j*y, -k*y - b = -0*y - 16 for y. 5 Let p be 4/34 + 28/(-238). Let z(q) = -2*q + 8. Let y be z(-2). Suppose 14*a - y*a = 10. Solve -3*n + a*x - 10 - 16 = p, 3*x = 5*n + 22 for n. -2 Suppose 2*o - 4 = a + 6*o, -5*a - 2*o = 2. Suppose 23 = -4*l + 31. Suppose 5*s - l = 43. Solve 5*g - 4*p - s = a, 2*p - 28 = -4*g - 0*p for g. 5 Let r(z) = z**3 - 9*z**2 + 50*z - 439. Let p be r(9). Solve -6 = -3*f + 5*a + p, -4*a = 4 for f. 4 Let a(v) be the third derivative of v**6/40 - 23*v**5/15 - 31*v**4/24 + 10*v**3/3 - 134*v**2. Let s be a(31). Solve w = -4*b - s, -2*w - 11 - 13 = 4*b for w. -4 Let b be (9/54)/(1/(134*3)). Solve 65 = -3*l - 2*q + b, 0 = -q + 4 for l. -2 Suppose 478 = -10*r - 642. Let s = r - -109. Let b(i) = 2*i**3 + 7*i**2 + 2*i + 4. Let v be b(s). Solve 3*o - 5*o - 5*p = v, 5*o + p + 6 = 0 for o. -1 Suppose 19*a = 8*a - 286. Let r = a - -32. Let u = -6 + r. Solve 3*h + u + 9 = -d, -5*h - 4*d = 15 for h. -3 Suppose 173*y = 171*y + 260. Let v = y - 127. Solve -x = v*f + 10, -6 = 5*x - f - 36 for x. 5 Let w(l) = 7*l - 18. Let a be w(7). Let p = a + -3. Suppose 4*r = -3*h + p, -6*h - 65 = -11*h - 3*r. Solve 4*k - 19 = -g, -2*g - 2*g - k = -h for g. 3 Let u be ((-3)/(-6)*-4)/(9 + 865/(-95)). Solve 4*i = m - 16, -m - u = 3*i - 0*m for i. -5 Suppose 5*z + v + 4 = 0, 3*z + 2 = 5*v - 6. Let c be z/(14/(-4) + 3). Let n be (7 + -6 - 2) + 10/2. Solve -c*s + m = 0, -3*m + 0*m = -n*s - 2 for s. 1 Let l(s) = 12*s + 360. Let w be l(-30). Solve 2*f - 5*t + 5 = w, 0 = -f + t - 4 - 0 for f. -5 Let z be (-18 - (-4 - 5)) + 22. Solve -i = 4*r - 13, 16*r - 3 = -3*i + z*r for i. -3 Let z(m) = m**3 - 9*m**2 + 22*m - 8. Let t be z(5). Suppose 0 = -t*u + 2*p + 2 + 36, -u - 3*p = -3. Solve a = 5*q + u, 0 + 4 = -2*q for a. 5 Let g = -36 - 20. Let p = -53 - g. Suppose 2*i + 5 = 6*i - s, p*i + 4*s = -20. Solve -5*l + 2 + 23 = i, 4*z - 4*l + 32 = 0 for z. -3 Let k(b) = 27*b + 7. Let m be k(-3). Let g = m + 134. Suppose 5*p + z - g = -z, 2*z = -3*p + 40. Solve 3*v - w = p, -2*v - 3*v + w = -14 for v. 2 Suppose -18 = -4*x - 3*l - 0*l, 5*x - 4*l = 7. Solve -3*k = 5*h + k - 7, -2*k + x = 3*h for h. -1 Let m = 35 + -33. Suppose -5*p + 15 = -2*p + m*h, 0 = -3*p + h + 6. Solve 4*t - p*w = 26, 6 = 3*t + 3*w - 3 for t. 5 Let h be (-15 - -6)*(-32)/9. Solve -m + 3 = -3*n, 37*n - h*n - m = -3 for n. 0 Suppose -b + 2 = -4*q, 23 = -q + 3*b + 17. Solve 4*x = 3*p, 4*p - 3*x - x = q for p. 0 Suppose -2*s = -6 - 8. Let k be s/(-1) + (15 - 8). Solve -5*y = p - 6, 2*y + k = -2*p - 4 for p. -4 Suppose 108 = 84*p - 75*p. Let h = 3 + 2. Solve -5*g - 4*c - 17 = -0*c, -3*g + h*c + p = 0 for g. -1 Suppose -9*s = -4*s. Let q(i) = 49 + 26 + 112*i**2 - i - 3*i**3 + 4*i - 88*i**2 + 4*i**3. Let x be q(-24). Solve -w + x*a = -11, 3*w + 0*w - a - 9 = s for w. 2 Let d be (2/6)/((-3)/117). Let o be 0 - (3 + d - 0). Suppose 4 - o = -3*x, f + 3*x - 13 = 0. Solve 5*h + f = -2*t, 0*t - 4*t = -16 for h. -3 Let h = -6416 - -6417. Solve -l - 2*l + x = -h, -5*l + 5 = -x for l. 2 Let v(a) = -6*a**2 - 120*a - 215. Let m be v(-18). Solve 31*t = -2*k + 35*t + 2, -k + m = -5*t for k. 1 Suppose 10*z = 31 + 69. Let c be 4 + z/(-5) + (-7)/(-1). Solve -3*r = -c, -r + 3 = f - 3 for f. 3 Let y(i) = -i**3 + 3*i**2 + 6*i - 15. Let v be y(3). Suppose 0 = 44*l - 111 - 109. Solve -j + l = -5*n, 5*n = v*j + 10*n - 15 for j. 5 Let h be 25 - ((-2)/(-7))/((-38)/(-1197)). Solve 4*o + 0*l - 2*l = -h, -5*o = -l + 14 for o. -2 Let p = -29 - -29. Suppose p = 3*t - 9, 3*v + 2*t - 16 = 5. Suppose 5*l = l + 16. Solve 2*r + 0*r = 3*d + 7, -v*r + l*d = -7 for r. -1 Let j = -6547 + 6560. Solve 2*g + 4 = -f, 4*f = 17*g - j*g + 8 for f. 0 Let h be (14/8 - -1) + 327/(-436). Solve -40 = 5*m + 5*j - 20, h*j = 0 for m. -4 Suppose -3*c - 54 = -5*a, 692*a + 28 = 690*a - 5*c. Solve -2*z - 2*t + a = 0, 9*z = 13*z + t for z. -1 Let b(y) = -6*y - 162. Let r be b(-36). Suppose r*m + 8 = 50*m + 4*a, 0 = 5*a - 20. Solve 2*k + 7*t = m*t + 17, -t + 9 = -k for k. -4 Let v be (-2 - (-22)/14)/((-25)/((-350)/(-3))). Solve 5*d - 2*x = -22, -v*d + 26 - 29 = 5*x for d. -4 Let z be ((-2)/48)/(7/(-56))*9. Solve -4*b = -29*c + 24*c + 12, z*c = -b + 14 for b. 2 Suppose -3*n - 7*d = -6*d - 1, 5*d = -5*n - 15. Let g = 265 - 255. Solve -5*j + g = -5*v, -n*j = -0*v - 5*v - 16 for j. -2 Suppose x + 135 = -g + 139, 14 = 4*g + 2*x. Solve -w - 14 = -g*z, w + 4*z = 136 - 115 for w. 1 Suppose -4*k + 125 = 113. Suppose b = -c, 5*b = k*b + 2*c + 8. Solve u + 3*x = -5, 19 = 2*u + b*u - x for u. 4 Let x(t) = -t**3 + 12*t**2 + 2*t - 10. Let c be x(12). Solve -5*g - 10 = 0, 5*g = 3*s + c - 33 for s. 3 Let n = -4 - 4. Let b(q) = -q**3 - 8*q**2 - q - 4. Let w be b(n). Let f be 786/655*(-1 - 53/(-3)). Solve w*c = -j - 9 - 3, -5*j - f = 0 for c. -2 Let w be 5/10*-8 - (-1 + -6). Suppose 0 = i - 3*o - w, 4*i - 5*o = -i + 15. Suppose 2*h - 6 = -0*h. Solve -19 = -3*y - 5*g - 8, -h*y + i*g - 21 = 0 for y. -3 Suppose 6*y - 576 = -2*y. Let h = y - 76. Let u be (9/(-6) - 14/h) + 1. Solve k + 3*k - 4 = 2*q, u*k + 5*q = 3 for k. 1 Suppose -290 - 698 = -5*b - 21*b. Solve 9*d - 4*d + 2*f = b, 3*f + 18 = 5*d for d. 6 Suppose 13*v - 18*v + 4*c = 12, 3*v + 15 = 5*c. Let n be 2/4*-5*-2. Solve m + 30 = n*z, v*z = 2*m + z + 5 for m. -5 Let r = 44 - -23. Suppose 3*t = -19 + r. Suppose 12 = -10*d + t*d. Solve 3*j - 19 = -z - 7, 3*j - 12 = -d*z for j. 4 Suppose 16 = -4*f, 2*p - 13 = -f + 3. Suppose 35 - 7 = -4*w. Let h = p + w. Solve h*d - y + 1 = 9, 2*y + 8 = -2*d
{ "pile_set_name": "DM Mathematics" }
c. 6 Suppose -3*o = 2*n - 5*n + 348, -5*o = -n + 104. Calculate the remainder when n is divided by 31. 26 Suppose 592 = 5*t - x - 2*x, -t + 4*x = -115. Calculate the remainder when t is divided by 30. 29 Suppose -2*f = -5*f + 9. What is the remainder when 33 is divided by f? 0 Suppose 2*l + 5*x = 46, 8*l - 115 = 3*l + 4*x. Let m = l - 14. What is the remainder when 19 + 2 + (-4 - 0) is divided by m? 8 Let x(m) = 3*m**2 + m + 3. What is the remainder when x(-2) is divided by 7? 6 Suppose p = 4*u - 3, 2*u + 5 = 2*p - 7. Let r = p - -4. Calculate the remainder when ((-9)/(-6))/(2/32) is divided by r. 11 Let f be (-6*1)/3 - -17. Suppose 0 = -l - 0*l + f. What is the remainder when l is divided by 8? 7 Let d(a) be the first derivative of 3/2*a**2 + 2 - 3*a. What is the remainder when 10 is divided by d(3)? 4 Let o be (-1 + 0)/1 + 55. Suppose 4*t + 4*d + 22 - 62 = 0, o = 3*t - 5*d. What is the remainder when t is divided by 5? 3 Let o = 103 - 70. Calculate the remainder when 96 is divided by o. 30 Let v be (-4)/(-6) + 16/48. Calculate the remainder when (-2 + (v - -2))*2 is divided by 1. 0 Let k = 7 + -4. Suppose -k*v - 4*r + 40 = -0*v, r - 75 = -4*v. Suppose n - v = -n. What is the remainder when n is divided by 4? 2 Let q(y) = -2*y - 7. Let p be q(-6). Suppose p*t = t + 112. Calculate the remainder when t is divided by 10. 8 Let i(r) = r**3 + 6*r**2 + 5*r + 4. What is the remainder when i(-4) is divided by 6? 4 Let i be -1*-10*1/2. Suppose -i*v = -298 + 53. Suppose 2*c + 2*y - 44 = 0, -4*c + 0*c = -4*y - 48. Calculate the remainder when v is divided by c. 15 Let p(x) = 2*x**2 - 3*x - 8. Suppose -u + 3 + 13 = 0. Calculate the remainder when p(6) is divided by u. 14 Let b = -5 + 5. Suppose 0 = -b*n + n - 67. What is the remainder when n is divided by 23? 21 What is the remainder when (-1)/((-4)/(-1404)*-3) is divided by 30? 27 Suppose 81 - 1 = 4*c - 4*q, -3*c + 5*q = -54. What is the remainder when 136 is divided by c? 21 Let f = -14 + 17. Suppose 2*d + 6 = 0, 3*j = f*d + d + 96. What is the remainder when j is divided by 6? 4 Suppose 0 = -7*n + 6 + 288. What is the remainder when 335 is divided by n? 41 Suppose -2*w = 82 - 322. Suppose l - s = 39, w + 71 = 5*l - s. Calculate the remainder when l is divided by 10. 8 Suppose 4*b = -b - 185. Let h = b - -56. Let u(x) = -x**3 - x**2 - x + 56. Calculate the remainder when u(0) is divided by h. 18 Let l = 3 + -3. Suppose -3*r + l*w = 2*w - 138, -214 = -5*r + 2*w. What is the remainder when r is divided by 23? 21 Suppose -46*h = -47*h + 20. Calculate the remainder when 96 is divided by h. 16 Let j(x) = x**2 + 2*x + 4. Let n = -18 - -64. Calculate the remainder when n is divided by j(-4). 10 Let t(a) = -a - 3. Let o be t(0). Let n be ((-2)/(-4))/(1/18). What is the remainder when (-3)/n*o - -6 is divided by 4? 3 Let p = 38 - 32. Calculate the remainder when 9 is divided by p. 3 Suppose 5*r - 4*z - 7 = 5, 5*z + 15 = 4*r. Suppose -2*q - 2*n + 12 = r, 5*n + 0*n + 42 = 3*q. What is the remainder when 17 is divided by q? 8 Suppose 2*s + 3*s + 24 = -3*j, j + 9 = -2*s. Calculate the remainder when (-111)/(-3) + 6/s is divided by 9. 8 Let w = -2 + 3. Calculate the remainder when (8/(-12))/(w/(-15)) is divided by 3. 1 Let l(d) = d**3 - 21*d**2 - 42*d - 2. Calculate the remainder when l(23) is divided by 31. 28 Let r(m) = -m**3 - 5*m**2 + 10*m + 10. Let y = 39 - 8. What is the remainder when r(-8) is divided by y? 29 Calculate the remainder when 99 is divided by ((-45)/(-18))/(1/4). 9 Suppose -2*x + 3*d = -14, -2*x - 2*d + 0*d = -24. Suppose 4*o - x = -o. What is the remainder when -4*(-4)/12*3 is divided by o? 0 Calculate the remainder when 1/(-5) - 606/(-30) is divided by 11. 9 Suppose 2*j - 36 = -2*c + j, 5*j = -20. Suppose f - 115 = -3*m, -39 = 2*m - 3*m - f. What is the remainder when m is divided by c? 18 Let k(m) = 20*m**2 + 5*m**2 + 8*m**2 + 15*m**2. What is the remainder when k(-1) is divided by 25? 23 Let t = -1 + -4. Let a = t - -12. Suppose 2*p = 2*n + 10, -2*n + a = 2*p - n. What is the remainder when 9 is divided by p? 1 Let i be ((-3)/2)/(3/(-20)). Let w = 62 + -45. Calculate the remainder when w is divided by 3*i/3 + -1. 8 What is the remainder when 60*(21/9 - 2) is divided by 8? 4 Let s(x) = 3*x**2 + 8*x - 7. What is the remainder when s(8) is divided by 36? 33 Calculate the remainder when 29 is divided by (-20)/(-6)*(1 + 2). 9 Let o(w) = -3*w + 3. What is the remainder when 47 is divided by o(-3)? 11 Let y = 40 - 14. What is the remainder when y is divided by 15? 11 Suppose -4*i + p + 192 = 0, -5*i - 5*p + 85 = -180. Calculate the remainder when i is divided by 13. 10 Let w = 5 + -4. Calculate the remainder when w is divided by 1. 0 Let c = -37 - -55. What is the remainder when c is divided by 10? 8 Suppose -2*p + 18 = -0*p. Suppose 6*v - 102 = -0*v. What is the remainder when v is divided by p? 8 Suppose 0 = -11*l + 3*l + 48. Calculate the remainder when 39 is divided by l. 3 Let t = -4 - -15. What is the remainder when t is divided by 5? 1 Let b(z) = z**3 - 3*z**2 + 8*z + 7. Let w(c) = 3*c**3 - 10*c**2 + 24*c + 20. Let v(t) = 17*b(t) - 6*w(t). Calculate the remainder when v(6) is divided by 20. 19 Let t = 8 + -2. Suppose -f + t = 2*f. Calculate the remainder when f*2*(-60)/(-16) is divided by 8. 7 What is the remainder when (8/6)/((-14)/(-273)) is divided by 15? 11 Suppose s + 20 = 5*s. Calculate the remainder when s is divided by ((-8)/(-10))/(2/5). 1 What is the remainder when 59 is divided by -6*2/4 - -34? 28 Suppose 2*m + 5*a = -24, -4*m + 4*a - 24 = 2*a. Let d(t) = t**2 + t - 10. What is the remainder when d(m) is divided by 9? 5 Let z = 60 + -20. Let j = 4 + 7. Suppose s = j + 10. Calculate the remainder when z is divided by s. 19 Let q be (-3)/6*-1*10. Suppose -f = -q*f + 52. Let h(u) = -u**3 + 6*u**2 - 5*u + 4. What is the remainder when f is divided by h(5)? 1 Let o = -46 + 49. What is the remainder when 14 is divided by o? 2 Let o = 28 - 6. Calculate the remainder when 87 is divided by o. 21 Let y(h) = 19*h**3 + 1. What is the remainder when y(1) is divided by 11? 9 Suppose 0 = 17*f - 10*f - 224. Calculate the remainder when 124 is divided by f. 28 Let q(t) = t**3 + 3*t**2 + t + 1. Calculate the remainder when (-2)/3 - 812/(-12) is divided by q(2). 21 Suppose 2*s + 123 = -s. Suppose 0 = -4*j + 70 + 206. Let w = s + j. What is the remainder when w is divided by 15? 13 Suppose 92 = 16*n + 12. Suppose s - 3 = 4. Calculate the remainder when s is divided by n. 2 Suppose -2*f = -5*s - f + 41, 0 = -f + 4. Let p = 2 - -5. Let i = s + p. Calculate the remainder when 45 is divided by i. 13 Let m = -8 + 29. Let j(r) = 8 + r**2 + 3 + 2*r + 1 - 3*r. What is the remainder when m is divided by j(0)? 9 Suppose -4*u + u + 12 = 0. Suppose 3*x + 6 = -2*y, -y - 4 = 3*y + u*x. Let a(j) = -j + 6. What is the remainder when 7 is divided by a(y)? 1 Suppose 9 = 5*z - 3*f, 4*z - 17 = -z - f. What is the remainder when 1/3 - (-35)/z is divided by 5? 2 Let b(v) = -v - 1. Let a = 4 - 0. Suppose 25 = -u - a*u. What is the remainder when b(u) is divided by 3? 1 Suppose 4*v - 4*p = -0*p + 16, 5*v + 2*p - 13 = 0. Let u(l) = -8*l**2 + 9 - 3*l**v + 2*l**3 - 5*l - l. Calculate the remainder when 2 is divided by u(-7). 0 Let s be ((-1)/2)/(6/24). Calculate the remainder when (-294)/(-10) + (-2)/5 is divided by 9 - s*2/4. 9 Suppose 3*q - 26 = -5. Suppose 0 = q*n - 2*n - 10. Suppose 0 = -3*c + n*c, -h - 5*c = -32. What is the remainder when h is divided by 11? 10 Suppose 3 = -3*j, -5*d = -4*j + 3*j - 161. What is the remainder when 91 is divided by d? 27 Suppose -4 = 2*l - 0. Calculate the remainder when 34 is divided by (l + 8)*(-12)/(-8). 7 Suppose 26 = -4*z + 134. Let c be -1 + 3 - 2 - 2. Calculate the remainder when z is divided by 2 + 11 - (1 + c). 13 Let r(p) = p**3 + 6*p**2 + 4*p. Calculate the remainder when ((-38)/(-3))/((-6)/(-9)) is divided by r(-5). 4 Let d be (-57)/5 + (-2)/(-5). Let x = 25 + d. Calculate the remainder when 67 is divided by x. 11 Suppose 5*r = 3 + 17. Let j = r - 5. Calculate the remainder when (-2 - j)*(-46)/2 is divided by 8. 7 Let m be 12/(-10)*(-10)/3. Let s = m - -16. Calculate the remainder when s is divided by 7. 6 Let k = -23 + 32. Suppose -3*u + 10 + 68 = 0. What is the remainder
{ "pile_set_name": "DM Mathematics" }
*10) and 4? 572 Suppose -5*v = p + 2*p - 35, -47 = -5*p + 3*v. Suppose 0 = 4*d - 80 - 112. Suppose d = -4*i + 7*i. What is the smallest common multiple of p and i? 80 Suppose 28*g - 868 = 1232. What is the lowest common multiple of g and 165? 825 What is the least common multiple of 53 - 50 - (1*-2 - 23) and 105? 420 Suppose 2*v = -4*k - 40, 2*k + 92 = -2*v - 2*v. What is the common denominator of ((-103)/v + -4)*-68 and 34/7? 42 Let j = 12/49 + 79/1078. Calculate the common denominator of j and 77/4. 44 Suppose -31*d = -30*d. Suppose d = -2*o - 3*v + 2*v + 39, -5*o = -3*v - 81. Let n(u) = -u**2 + 9*u - 6. Calculate the smallest common multiple of n(7) and o. 72 Let j = -397979/65 + 6123. Calculate the common denominator of (265/50 - 6)*11 and j. 130 Let n = 149 + -125. Let t = 53403/10 + -5348. Calculate the common denominator of (968/(-70))/(-2) - n/(-84) and t. 10 Suppose -4*x + 78 = -3*x. Suppose -x + 30 = -3*m. Find the common denominator of 87/2 and (474/m)/((-21)/(-4)). 14 Let i be (-3326)/(-3)*(-39)/(-26). Let v = i - 36595/22. Calculate the common denominator of v and -33/14. 154 Suppose 0 = 4*t + 2*s - s + 117, 0 = 2*t + 4*s + 48. Let b = -469729/18 + 26089. Calculate the common denominator of b and ((-236)/t)/(12/5). 18 Let y = -3709/184 - -708/23. Calculate the common denominator of 54/(-8)*8/34 and y. 136 Calculate the smallest common multiple of 30 and (220/(-77))/((-5)/((-175)/(-2))). 150 Suppose 3*u = -3*b + 7*b - 659, -2*u - 10 = 0. What is the lowest common multiple of b and 6? 966 Let g(n) = 28*n - 51. What is the smallest common multiple of g(3) and 6? 66 What is the lowest common multiple of 28 and 7 + 10*7/(-14)? 28 Let c(k) = 83*k**2 + 16*k + 1. Calculate the smallest common multiple of 187 and c(-1). 748 Let h = -32 + 52. Calculate the smallest common multiple of 18 and h. 180 Let y be ((-2)/5498)/(12/36). Let j = 228113/49482 - y. Find the common denominator of j and 2/4 - (-275)/44. 36 Let b = -13 + 41. Suppose -3*l - b = -5*l. Calculate the lowest common multiple of 22 and l. 154 Let v = -18 - -21. Suppose -139 = 5*q - 39. Let i = -11 - q. Calculate the lowest common multiple of i and v. 9 Let h = -131/30 + 1/5. Find the common denominator of 40/9 and h. 18 Let o = 8620 + -68869/8. What is the common denominator of 5/10 + 53/(-12) and o? 24 Let f = -166285/84936 + -2/3539. Calculate the common denominator of 73/60 and f. 120 What is the common denominator of -3 + 93/(-33) + (-10)/(-5) and -119/6? 66 Let t = 7967/4 + -1979. Let z = 4201/2 - 2052. Calculate the common denominator of z and t. 4 Suppose 3*p + 15 = -30. Let d be p/(-2)*251/2. Let b = 931 - d. What is the common denominator of b and 97/20? 20 Suppose -25*u = -26*u. Suppose u = -3*d - 2*h + 23, -h + 3 = -d + 4. Calculate the smallest common multiple of d and 18. 90 Suppose 0 = c - 0*f + 3*f - 17, -3*c + 3 = -3*f. Suppose 0 = 345*j - 369*j + 1080. Calculate the lowest common multiple of c and j. 45 Suppose -33 = -8*p + 47. Calculate the smallest common multiple of p and 141. 1410 Calculate the common denominator of -127/750 and 3 - (5031/(-18))/(-13). 750 Let y be (0 - -10)*(11 - 0). Find the common denominator of 1/15 and (-580)/y + 0 + 1. 165 Let i = -1/128501 + -8352241/41634324. Calculate the common denominator of 91/135 and i. 1620 Let w = -564 - -615. What is the lowest common multiple of w and 1? 51 Suppose 1136*n - 1143*n + 147 = 0. Suppose 10 + 2 = 3*p. What is the least common multiple of p and n? 84 Let o(c) = -c**3 - 6*c**2 - 3*c + 9. Let u be o(-6). Let f = u - 39. What is the common denominator of (-900)/8*1/f and 109/10? 40 Let h(w) = 4*w + 24. Let t be h(-5). Suppose 2*b + 4*x - 28 = 0, 2*b - t*x + 44 = 5*b. What is the least common multiple of 14 and b? 112 Suppose -2*j - 2*j + 140 = 0. Let z = j + -23. What is the smallest common multiple of (8/5)/(4/50) and z? 60 Suppose l - 380 = 6*l. Calculate the common denominator of 53/3 and (19/l)/((-1)/(-2)). 6 Let a be (2/(-5))/((-9)/45). Let t be 0 + (a - 0) - 1. Suppose -r + 3*x - t + 4 = 0, 0 = 4*r + 5*x - 29. What is the smallest common multiple of r and 20? 60 What is the common denominator of 20*10*1/68 and 183/54*(-10)/5? 153 Calculate the common denominator of 1244/(-150) - 56/(-7) and -41/6. 150 What is the common denominator of 95/76 - (-167)/60 and -125/6? 30 What is the common denominator of 145/12 and -3 + (-872)/(-264) + (4 - 2)? 132 What is the smallest common multiple of (8400/(-1100))/(4/(-22)) and 60? 420 Suppose 14*m = 12*m - 2*z + 46, 25 = 5*z. Calculate the lowest common multiple of m and 38. 342 Suppose 0 = 6*m - 9*m + 9. Suppose -3*h + 76 = h - s, -m*h = 3*s - 72. What is the common denominator of h/(-15)*10/8 and -1/6? 6 Let c = -911 - -918. What is the lowest common multiple of 63 and c? 63 Let k be 22/(-56)*4562/(-1). Let q = 1785 - k. Let d = -31617/18610 - 2/1861. Find the common denominator of q and d. 70 Let r be (-107)/(-5) + (-9)/(-15). Let c = -15 + r. What is the least common multiple of (-22)/(-5) - (-2)/(-5) and c? 28 Let w = 206237/30 - 6877. What is the common denominator of 67/30 and w? 30 Let z(t) = 3*t**2 + 3*t - 3. Calculate the lowest common multiple of 5 and z(-3). 15 Let g = -89 - -152. Let t = 125 - g. What is the common denominator of 127/6 and t/(-20) + (-4 - -2)? 30 Suppose -3*p + 112 = p. Suppose 83 = 5*x + p. Suppose 5*y - 37 = -r, 0 = -4*y - 3*r + 12 + x. What is the lowest common multiple of y and 14? 56 Let t be (-12 - -10)*34/(-4). Let y = t + -11. What is the common denominator of y/8*(-78)/(-27) and -31/6? 6 Let t = 32281/2773800 - -2/69345. What is the common denominator of t and -41/8? 600 Let j be (-144722157506646)/(-564840) - (-2)/(-5). Let g = 256217971 - j. Let v = g - -2/4707. What is the common denominator of v and -77/26? 156 Suppose -2*k - 9 = -3*k + 5*a, -2*a = 0. Calculate the smallest common multiple of 27 and k. 27 Suppose -11*x + 28 = -27. Suppose -5*f - 4*a + 70 = 0, 0*f + 4*f + x*a - 65 = 0. What is the smallest common multiple of 14 and f? 70 Let r = 4139 + -29020/7. Let g be 1/((-1)/(-3)) - -1. Calculate the common denominator of 3/13 - -4 - g and r. 91 Suppose -5*w + 3 = -3*j, -w - 3*j - 3 = 2*w. Suppose -o = -z - 35, w = 3*z + o + o + 110. Calculate the common denominator of (-501)/z + (-3)/(-9) and -73/12. 12 Suppose -406 = c - 3*c + 2*h, -2*h + 394 = 2*c. What is the lowest common multiple of c/9 + 10/(-45) and ((-6)/5)/(14/((-5040)/27))? 176 Let q = -118 + 121. Suppose 0 = 5*u + v - 117, -2*u - 3*v = -41 + 2. What is the smallest common multiple of q and u? 24 What is the common denominator of -33/8 and (2/(2720/12))/((-12)/530)? 136 Suppose 33 = -3*t + 4*t. Suppose t*s - 31*s - 28 = 0. What is the lowest common multiple of s and 22? 154 Let r(o) = -o + 9. Let v be r(8). Let s = 9536 - 190761/20. What is the common denominator of s and (179 - v)*2/48? 60 What is the common denominator of 17/33 and ((-145)/(-66) + -2)*34 - 5? 33 Suppose 45*n - 43*n + 8 = 0. Find the common denominator of (-4 - (-11 - -6))*n/30 and 23/24. 120 Suppose 3*h + 2*x + 148 + 117 = 0, -3*h = -4*x + 271. Let k = h - -891/10. Calculate the common denominator of 40/31 and k. 310 What is the lowest common multiple of 35 and (-64)/(-56)*(2 - 62/(-4))? 140 Suppose 0 = -2*o - 5*a + 116, -5*a + 2 + 18 = 0. Let t = 6 - 3. Calculate the lowest common multiple of o and t. 48 Let d be 3 - 0 - (-106248)/(-12496). Let n = d + 2/781. What is the common denominator of n and -29/9? 18 Let k(a) = -9*a**2 - 2*a + 1. Let w be k(1). What is the common denominator of -33*w*(-3)/288 and 95/2? 16 Let w = -58379/110 - -2642/5. What is the common denominator of w and (-5)/(-6)*79/5? 66 Let d be (0 + (-3252)/232)*1. Let y = -72/29 + d. What is the common denominator of y and ((-141)/(-20))/((-6)/(-4))? 10 Let v = 16 + -7. Suppose 3*b - 49 = -19. Calculate the lowest common multiple of b and v. 90 Let f be 4/7 + 6 + 151/(-7). What is the smallest common multiple of 22 and ((6/f)/(-1))/(2/190)? 418 Let r = 2121 - 140087/66. Calculate the common denominator of r and -121/54. 594 Let c = -2664665/39 - -68335. Let g = c - -27/13. Calculate the common denominator of 38/3 and g. 3 Calculate the least common multiple of ((-8)/96*4)/((-1)/24) and -16*(1/2)/(-1). 8 Let d = 29
{ "pile_set_name": "DM Mathematics" }
921437 Calculate the least common multiple of 257607 and 135. 1288035 Calculate the least common multiple of 100713 and 1770. 1007130 Calculate the smallest common multiple of 47068 and 3444. 141204 Calculate the least common multiple of 32064 and 66. 352704 Find the common denominator of -53/207756 and 74/363573. 1454292 What is the least common multiple of 23725 and 25? 23725 What is the smallest common multiple of 20668 and 41336? 41336 Find the common denominator of 37/14904 and 109/756. 104328 What is the common denominator of -121/5900 and 51/532? 784700 Calculate the common denominator of -65/16 and -62/7131. 114096 What is the least common multiple of 20595 and 6865? 20595 Calculate the least common multiple of 356 and 1068. 1068 Calculate the common denominator of 69/5254 and 53/284. 10508 What is the smallest common multiple of 4 and 20978? 41956 What is the common denominator of 101/24900 and 149/60? 24900 What is the common denominator of 173/49320 and 133/9864? 49320 What is the lowest common multiple of 59276 and 12264? 355656 What is the least common multiple of 486630 and 3330? 18005310 What is the smallest common multiple of 7718 and 42449? 84898 What is the least common multiple of 78174 and 39087? 78174 What is the common denominator of 107/10374 and 61/16758? 217854 What is the least common multiple of 3380 and 8112? 40560 What is the common denominator of -61/216818 and -31/98? 1517726 Calculate the smallest common multiple of 3705 and 3249. 211185 Find the common denominator of -7/201665 and -12/55. 2218315 Calculate the common denominator of 15/19642 and 41/1932. 117852 Find the common denominator of 113/34596 and -63/496. 138384 What is the lowest common multiple of 162 and 42? 1134 What is the lowest common multiple of 42 and 63462? 63462 Calculate the smallest common multiple of 59052 and 342. 177156 Find the common denominator of -117/135394 and 101/2926. 1489334 Calculate the smallest common multiple of 118944 and 136. 2022048 What is the lowest common multiple of 668 and 17984? 3003328 What is the common denominator of 54/455 and 1/255255? 255255 Calculate the lowest common multiple of 40006 and 10. 200030 Calculate the smallest common multiple of 36 and 57856. 520704 Calculate the smallest common multiple of 18819 and 18819. 18819 Calculate the smallest common multiple of 6455 and 11619. 58095 Find the common denominator of -151/42 and 13/4659. 65226 What is the common denominator of -53/54934 and -63/94886? 1043746 Calculate the smallest common multiple of 176 and 128480. 128480 Calculate the smallest common multiple of 22 and 852650. 9379150 What is the smallest common multiple of 801060 and 130? 801060 Calculate the least common multiple of 1018 and 14. 7126 What is the lowest common multiple of 14 and 980532? 980532 What is the common denominator of -34/4543 and 19/22715? 22715 Calculate the smallest common multiple of 33 and 14394. 158334 What is the smallest common multiple of 358090 and 214854? 1074270 Calculate the common denominator of -27/500 and 17/620. 15500 What is the lowest common multiple of 84 and 224? 672 What is the common denominator of -5/1596 and -17/210? 7980 What is the least common multiple of 2310 and 63723? 4460610 What is the lowest common multiple of 26 and 239980? 239980 Calculate the least common multiple of 1110 and 1665. 3330 What is the common denominator of 11/165800 and 31/56? 1160600 Find the common denominator of -11/102 and 151/2808. 47736 Find the common denominator of 38/45 and -131/960. 2880 What is the smallest common multiple of 655342 and 1392? 15728208 What is the common denominator of 149/690 and 113/138? 690 Calculate the common denominator of 21/62774 and -109/10. 313870 Calculate the common denominator of 1/16362 and 23/3556008. 10668024 What is the common denominator of 127/18 and 61/165258? 165258 Calculate the smallest common multiple of 10 and 6901. 69010 What is the lowest common multiple of 32 and 52320? 52320 Calculate the common denominator of 29/73260 and -199/19800. 732600 What is the common denominator of -67/400 and 117/8660? 173200 What is the common denominator of -1/38454 and 77/13260? 384540 What is the lowest common multiple of 36582 and 8442? 109746 Calculate the common denominator of 17/10416 and 20/19. 197904 Calculate the common denominator of 29/359170 and -117/1078. 3950870 Calculate the lowest common multiple of 840 and 11928. 59640 What is the smallest common multiple of 6032 and 116? 6032 Calculate the common denominator of -47/540 and 149/56520. 169560 Calculate the lowest common multiple of 266112 and 1408. 266112 What is the smallest common multiple of 266161 and 2632? 2129288 Calculate the smallest common multiple of 10305 and 4580. 41220 Calculate the least common multiple of 140840 and 5030. 140840 What is the common denominator of 58/7329 and -143/7686? 2682414 What is the smallest common multiple of 68 and 45832? 45832 What is the smallest common multiple of 596 and 142? 42316 Find the common denominator of 97/130 and -69/140582. 702910 Calculate the smallest common multiple of 85194 and 9466. 85194 Find the common denominator of -131/15450 and -1/84975. 169950 What is the smallest common multiple of 270702 and 330858? 2977722 What is the least common multiple of 26 and 246730? 3207490 What is the least common multiple of 463 and 166680? 166680 What is the smallest common multiple of 4 and 16320? 16320 What is the smallest common multiple of 50310 and 11180? 100620 Calculate the smallest common multiple of 7959 and 10612. 31836 Calculate the common denominator of -32/286919 and -59/90606. 1721514 Find the common denominator of 11/285 and -89/229332. 21786540 Calculate the common denominator of 38/267 and 49/2343. 208527 Calculate the common denominator of 87/604 and 51/1510. 3020 What is the common denominator of -41/1674 and -191/19530? 58590 Find the common denominator of -27/1705 and -123/1212100. 13333100 Calculate the least common multiple of 41504 and 15564. 124512 What is the common denominator of 64/88767 and -70/33? 976437 What is the least common multiple of 18 and 3878? 34902 Find the common denominator of 47/2656 and -73/5312. 5312 Calculate the smallest common multiple of 184590 and 4102. 184590 Calculate the smallest common multiple of 3234 and 3234. 3234 What is the common denominator of 71/29512 and -11/72? 265608 Calculate the smallest common multiple of 296 and 1562. 231176 Calculate the least common multiple of 524817 and 583130. 5248170 What is the lowest common multiple of 4624 and 5627? 1530544 Calculate the common denominator of 51/4 and -55/15613. 62452 What is the least common multiple of 2347 and 49287? 49287 What is the common denominator of 69/8965 and -54/11? 8965 Find the common denominator of -3/1682 and -123/170. 142970 What is the common denominator of -37/13069 and -20/11? 143759 What is the common denominator of -13/1484 and -89/1484? 1484 Calculate the least common multiple of 31654 and 3094. 411502 What is the common denominator of -149/642 and -59/12? 1284 Calculate the least common multiple of 4 and 399. 1596 What is the least common multiple of 2523 and 381? 320421 Calculate the least common multiple of 337279 and 7. 2360953 What is the common denominator of 79/24 and -65/3741? 29928 What is the common denominator of -37/273741 and 28/11? 3011151 Find the common denominator of 58/523225 and -97/1674320. 8371600 What is the smallest common multiple of 268 and 859? 230212 What is the least common multiple of 1005 and 2415? 161805 What is the common denominator of 103/148314 and -73/16? 1186512 What is the common denominator of -35/19 and -51/16321? 16321 Calculate the common denominator of -10/731 and 35/4199. 180557 Calculate the common denominator of -7/479 and -101/286. 136994 Find the common denominator of 37/1170 and -52/4851. 630630 What is the common denominator of -3/23452 and 17/41041? 164164 Find the common denominator of -57/1233617 and 65/336441. 3700851 Calculate the least common multiple of 462 and 66. 462 Calculate the common denominator of -113/2484 and -7/198. 27324 What is the common denominator of 69/40 and -13/120652? 1206520 Find the common denominator of -5/44631 and
{ "pile_set_name": "DM Mathematics" }
multiple of 22? True Does 83 divide 17765626? False Is 9 a factor of 363009175? False Is 4 a factor of 121284306? False Is 11397216 a multiple of 16? True Is 98 a factor of 90412990? False Is 108 a factor of 4245516828? True Does 99 divide 5803083? True Is 2068 a factor of 43835396? True Does 10 divide 1412849970? True Does 18 divide 44627238? True Does 70 divide 107640820? True Does 10 divide 343465009? False Is 694770275 a multiple of 25? True Does 228 divide 211473702? False Is 72739765 a multiple of 881? True Is 9 a factor of 318632488? False Does 336 divide 263987029? False Does 19 divide 303975490? True Does 845 divide 78805545? True Is 117297356 a multiple of 1249? False Does 322 divide 37388708? True Is 1400 a factor of 17931200? True Is 58 a factor of 526369836? True Is 110078150 a multiple of 13? True Is 3073 a factor of 109048807? False Is 178161238 a multiple of 118? True Is 170 a factor of 113308574? False Is 24 a factor of 21552120? True Does 14 divide 27615126? True Is 62 a factor of 704819698? False Does 2272 divide 2750512736? True Does 1002 divide 148486380? True Is 55620832 a multiple of 2272? True Does 34 divide 72114408? True Is 8695024169 a multiple of 13? True Does 579 divide 33494571? True Is 1464454059 a multiple of 603? False Is 3138 a factor of 165620502? True Does 21 divide 1452871056? True Does 42 divide 159469453? False Is 36691491 a multiple of 2? False Does 332 divide 50481596? True Is 8 a factor of 38597416? True Is 94260964 a multiple of 7? True Is 2077 a factor of 727640808? False Is 1064 a factor of 663746599? False Is 2099482 a multiple of 321? False Is 334 a factor of 180075098? True Does 7331 divide 1223301977? True Does 687 divide 3201753? False Is 56 a factor of 685508176? False Is 34 a factor of 30929278? False Is 1192 a factor of 60335464? True Is 104436426 a multiple of 38? True Is 58692725 a multiple of 455? True Is 25926742 a multiple of 2498? True Is 1448375268 a multiple of 6? True Does 98 divide 153444284? True Does 32 divide 1404812288? True Is 224 a factor of 10092544? True Does 79 divide 175073431? False Does 423 divide 420971715? True Does 5 divide 118123270? True Is 18714674 a multiple of 11? True Is 21 a factor of 53270559? False Is 378809513 a multiple of 1081? False Is 16 a factor of 44852832? True Is 51 a factor of 6312168? True Is 671511058 a multiple of 3? False Is 74 a factor of 24372936? True Is 91897078 a multiple of 6958? False Is 8 a factor of 22437040? True Does 17 divide 1415736840? False Does 1192 divide 31707200? True Does 8 divide 473102250? False Is 733 a factor of 20590146? False Does 1563 divide 199015227? True Is 323 a factor of 876598785? False Does 459 divide 36315162? True Does 547 divide 1240891769? False Does 126 divide 2248109? False Is 134613850 a multiple of 350? True Does 2051 divide 90621384? True Is 1418753585 a multiple of 995? True Is 670280 a multiple of 10? True Is 18 a factor of 827853848? False Is 11 a factor of 447865468? False Is 85197182 a multiple of 19? False Is 644413000 a multiple of 440? True Does 6718 divide 791106618? False Is 220554725 a multiple of 906? False Does 6 divide 947937462? True Is 1156 a factor of 42083167? False Is 13309608 a multiple of 312? True Does 13 divide 24309922? True Is 106 a factor of 278023622? False Does 22 divide 103242854? True Does 687 divide 740270477? False Is 2928126 a multiple of 18? False Does 1712 divide 36402256? True Is 82442163 a multiple of 17? True Is 382508028 a multiple of 12? True Is 3951922 a multiple of 442? True Is 65672071 a multiple of 910? False Is 330018089 a multiple of 206? False Does 73 divide 2398767225? True Is 14082450 a multiple of 446? True Does 5507 divide 1297416158? True Is 57 a factor of 630412235? False Is 148 a factor of 39508452? True Is 14166329 a multiple of 128? False Does 94 divide 71352392? True Does 100 divide 2057667000? True Is 210 a factor of 56761320? True Does 30 divide 6973359? False Is 13443836 a multiple of 711? False Does 30 divide 487382921? False Is 6854003 a multiple of 375? False Is 472108896 a multiple of 168? True Is 1493624722 a multiple of 8065? False Is 63 a factor of 27385533? True Does 39 divide 752321512? False Does 111 divide 1358085555? True Does 79 divide 192767268? True Does 2048 divide 426104832? True Is 4 a factor of 176161604? True Is 44 a factor of 957531092? False Is 398 a factor of 37873680? True Is 16280110 a multiple of 75? False Is 332361330 a multiple of 15? True Does 5068 divide 354939382? False Is 23 a factor of 22741986? True Does 61 divide 67404512? True Is 64 a factor of 7239336? False Is 102 a factor of 106319050? False Is 23 a factor of 55571607? False Does 9975 divide 1577526300? True Does 279 divide 258782776? False Is 9 a factor of 27265743? True Is 1491807 a multiple of 6? False Is 229928788 a multiple of 394? False Is 180903814 a multiple of 116? False Is 2786950412 a multiple of 8439? False Is 224459502 a multiple of 123? True Is 44728922 a multiple of 68? False Is 22 a factor of 126452304? True Is 131755152 a multiple of 28? False Does 7 divide 250477646? False Does 27 divide 10835127? True Is 281389524 a multiple of 78? True Does 1067 divide 703988461? True Is 32 a factor of 97636367? False Is 12 a factor of 2187706628? False Does 1260 divide 27581400? True Is 807 a factor of 63428339? False Is 388923552 a multiple of 68? True Is 59 a factor of 99989083? False Is 1478 a factor of 33144150? True Does 860 divide 885984162? False Is 1011 a factor of 475001975? False Is 511172436 a multiple of 140? False Does 46 divide 634150769? False Does 1321 divide 437919426? True Does 88 divide 5402717988? False Is 3 a factor of 60461517? True Is 1858 a factor of 26025006? True Is 1072776798 a multiple of 9? True Is 3 a factor of 9148350? True Is 50422911 a multiple of 1279? False Is 7 a factor of 2523566? False Does 2038 divide 461031973? False Does 26 divide 30999514? True Does 191 divide 50373194? True Is 64 a factor of 6219328? True Is 2582781 a multiple of 14? False Does 13 divide 2597738176? False Does 1811 divide 379562057? True Is 11184300 a multiple of 100? True Does 260 divide 74205934? False Is 557 a factor of 341727298? True Does 56 divide 972714792? True Does 12 divide 22691832? True Is 924 a factor of 125669838? False Is 2237632975 a multiple of 5825? True Is 55 a factor of 1172659070? True Does 10 divide 3395907735? False Is 138237341 a multiple of 4? False Is 183 a factor of 54951632? False Is 102 a factor of 50680331? False Does 31 divide 2276743521? False Does 1381 divide 60573422? True Is 908061404 a multiple of 615? False Is 578854364 a multiple of 74? False Is 626 a factor of 20325672? False Is 2778559489 a multiple of 6197? False Is 6 a factor of 1180109? False Is 9 a factor of 1483965? True Does 53 divide 40885092? False Is 205537690 a multiple of 410? False Does 19 divide 334457? True Does 688 divide 12496832? True Is 13438100 a multiple of 100? True Is 4935823 a multiple of 67? True Is 7 a factor of 3814043? False Is 62920624 a multiple of 16? True Is 704 a factor of 94100767? False Is 91918770 a multiple of 190? True Is 3611140 a multiple of 38? True Does 9 divide 18151415? False Does 2766 divide 816849588? True Does 35 divide 964290880? True Is 397156194 a multiple of 18? True Does 2200 divide 642254478? False Is 719307895 a multiple of 5599? False Is 338389568 a multiple of 22? True Does 118 divide 13306506? True Is 305866277 a multiple of 264? False Is 9 a factor of 1825372? False Is 116 a factor of 17196304? True Is 756 a factor of 74291364? True Does 1115 divide 16488620? True Is 1431558 a multiple of 23? False Does 428 divide 45672173? False Is 650 a factor of 22037609? False Does 86 divide 1160767542? True Does 18 divide 887873436? True Does 690 divide 9814229? False Is 5177730888 a multiple of 9? True Does 235 divide 220655365? True Does 3236 divide 61564900? True Is 61 a factor of 16144499? False Does 60 divide 4745000970? False Is 110653400 a multiple of 40? True Is 5141144974 a multiple of 14? True Is 49 a factor of 117486859? True Is 403 a factor of 66652089? False Is 132017513 a multiple of 109? False Is 413622093 a multiple of 501? True Does 17 divide 553068146? False Is 37 a factor of 268327441?
{ "pile_set_name": "DM Mathematics" }
617184ng to milligrams. 0.000005617184 How many years are there in seven quarters of a millennium? 1750 What is 3/25 of a litre in millilitres? 120 How many nanometers are there in 7.125918cm? 71259180 What is twenty-seven halves of a micrometer in nanometers? 13500 What is one tenth of a millennium in centuries? 1 Convert 374.25672 minutes to days. 0.2599005 How many kilograms are there in 0.8466189 milligrams? 0.0000008466189 How many meters are there in 15/4 of a kilometer? 3750 What is 543652.2 decades in months? 65238264 What is eleven tenths of a millennium in centuries? 11 What is one fifteenth of a millennium in months? 800 What is six fifths of a litre in millilitres? 1200 How many milliseconds are there in 458.3272 nanoseconds? 0.0004583272 How many hours are there in 720284.6 days? 17286830.4 What is 9.953971ml in litres? 0.009953971 What is one sixth of a minute in seconds? 10 How many milligrams are there in seven quarters of a gram? 1750 What is 91.89157l in millilitres? 91891.57 What is 41/2 of a tonne in kilograms? 20500 How many millilitres are there in 15/4 of a litre? 3750 What is 3/40 of a microgram in nanograms? 75 What is 27/2 of a kilogram in grams? 13500 How many years are there in 33/5 of a decade? 66 How many millilitres are there in 53522.19l? 53522190 How many millilitres are there in 6/5 of a litre? 1200 What is 382.1108km in micrometers? 382110800000 What is 7/6 of a hour in minutes? 70 What is 19321.581 months in centuries? 16.1013175 What is eleven quarters of a microgram in nanograms? 2750 What is twenty-one quarters of a millennium in decades? 525 How many minutes are there in eleven fourteenths of a week? 7920 How many seconds are there in two fifteenths of a day? 11520 What is 82926.12 millilitres in litres? 82.92612 What is 683044.2kg in milligrams? 683044200000 Convert 41.3905 years to millennia. 0.0413905 How many months are there in 25/2 of a decade? 1500 What is seventeen quarters of a microgram in nanograms? 4250 What is 6/25 of a day in seconds? 20736 What is 31746.48l in millilitres? 31746480 What is three fifths of a litre in millilitres? 600 What is 19/4 of a gram in milligrams? 4750 Convert 3134.854ug to milligrams. 3.134854 What is 32/5 of a gram in milligrams? 6400 Convert 19692.88 milligrams to tonnes. 0.00001969288 Convert 10565.1 milliseconds to nanoseconds. 10565100000 What is 265726.8 litres in millilitres? 265726800 What is three fifths of a tonne in kilograms? 600 What is 12500382.3 hours in weeks? 74407.0375 What is five quarters of a micrometer in nanometers? 1250 What is thirty-seven halves of a litre in millilitres? 18500 How many hours are there in 11/4 of a week? 462 What is 59/5 of a micrometer in nanometers? 11800 What is 9072.949 litres in millilitres? 9072949 What is fourty-one halves of a litre in millilitres? 20500 What is twenty-seven fifths of a millisecond in microseconds? 5400 What is 3/8 of a micrometer in nanometers? 375 How many millimeters are there in 988882.5m? 988882500 How many months are there in 1/10 of a century? 120 How many litres are there in 24.48376 millilitres? 0.02448376 How many litres are there in 96061.23ml? 96.06123 How many millilitres are there in 91547.56 litres? 91547560 What is 21/5 of a tonne in kilograms? 4200 How many millilitres are there in fifty-four fifths of a litre? 10800 What is 776806.5ml in litres? 776.8065 How many microseconds are there in 1/4 of a millisecond? 250 How many millennia are there in 2.299248 months? 0.000191604 What is 75.19465l in millilitres? 75194.65 How many years are there in 1.3133574 months? 0.10944645 What is 31.01898l in millilitres? 31018.98 Convert 4339.937 meters to nanometers. 4339937000000 Convert 13.0234um to kilometers. 0.0000000130234 How many kilograms are there in 849263.5mg? 0.8492635 How many minutes are there in 3/16 of a week? 1890 Convert 546.8942 hours to seconds. 1968819.12 How many centuries are there in 224.35809 months? 0.186965075 Convert 6583.203ns to microseconds. 6.583203 Convert 83.14253 kilometers to meters. 83142.53 How many millilitres are there in one twentieth of a litre? 50 Convert 56.29284 litres to millilitres. 56292.84 How many years are there in 438.618 months? 36.5515 How many months are there in 56773.5 years? 681282 What is 3/40 of a litre in millilitres? 75 What is three eighths of a litre in millilitres? 375 What is seventy-seven halves of a milligram in micrograms? 38500 What is 759787.3 millimeters in kilometers? 0.7597873 Convert 39826.48 meters to centimeters. 3982648 How many decades are there in 108449.67 months? 903.74725 How many millilitres are there in 504.0701l? 504070.1 How many kilograms are there in thirty-one halves of a tonne? 15500 How many meters are there in 17/2 of a kilometer? 8500 What is 0.9067696nm in centimeters? 0.00000009067696 What is three eighths of a meter in millimeters? 375 How many nanometers are there in 3/50 of a micrometer? 60 What is thirteen quarters of a gram in milligrams? 3250 How many millilitres are there in five quarters of a litre? 1250 How many nanograms are there in one fifth of a microgram? 200 Convert 65.74202 seconds to nanoseconds. 65742020000 What is twenty-seven fifths of a kilogram in grams? 5400 How many millilitres are there in twenty-one fifths of a litre? 4200 How many meters are there in 8.136357 centimeters? 0.08136357 Convert 429569.1 tonnes to nanograms. 429569100000000000000 How many millilitres are there in 43/2 of a litre? 21500 What is 1/30 of a day in seconds? 2880 How many hours are there in 1174.1886 minutes? 19.56981 What is 6/25 of a milligram in micrograms? 240 What is 5032.701 millilitres in litres? 5.032701 How many milliseconds are there in 11/4 of a second? 2750 What is 0.2855456 centuries in millennia? 0.02855456 How many litres are there in 2656.393 millilitres? 2.656393 How many months are there in 3/5 of a decade? 72 What is fourty-five quarters of a century in years? 1125 What is 31.65132ms in seconds? 0.03165132 What is 1.745433 millilitres in litres? 0.001745433 Convert 26.631696 months to millennia. 0.002219308 What is 3450.7593 microseconds in hours? 0.00000095854425 Convert 1325.924775s to weeks. 0.0021923359375 What is 1/45 of a week in minutes? 224 How many grams are there in 7/4 of a kilogram? 1750 What is 99.90071 decades in years? 999.0071 How many hours are there in 4/3 of a week? 224 What is 875816.6 nanograms in tonnes? 0.0000000008758166 How many months are there in 1/6 of a decade? 20 What is 11/8 of a litre in millilitres? 1375 What is 63.85882 millilitres in litres? 0.06385882 What is 3/10 of a century in years? 30 What is 556757.1 kilometers in millimeters? 556757100000 What is 4/3 of a hour in minutes? 80 How many micrometers are there in seven halves of a centimeter? 35000 Convert 708.5276 years to millennia. 0.7085276 Convert 773288.4 millennia to centuries. 7732884 What is 51/2 of a minute in seconds? 1530 What is 7.418292 centuries in millennia? 0.7418292 What is 0.5637448t in kilograms? 563.7448 How many weeks are there in 1880697.042 microseconds? 0.000003109618125 What is 5/4 of a tonne in kilograms? 1250 What is five eighths of a litre in millilitres? 625 What is 278.9461 millennia in years? 278946.1 What is 1/36 of a hour in milliseconds? 100000 What is 3/5 of a centimeter in millimeters? 6 How many years are there in thirty-one fifths of a century? 620 How many seconds are there in 523.0352 nanoseconds? 0.0000005230352 How many minutes are there in three fifths of a week? 6048 What is 6/25 of a centimeter in micrometers? 2400 What is 25/2 of a millennium in decades? 1250 What is 55/4 of a year in months? 165 How many millilitres are there in 1/4 of a litre? 250 How many millennia are there in 4713.282 decades? 47.13282 How many micrometers are there in 6639.897 nanometers? 6.639897 Convert 717416.7 decades to millennia. 7174.167 What is six fifths of a litre in millilitres? 1200 How many nanograms are there in 53/4 of a microgram? 13250 How many centuries are there in 29/5 of a millennium? 58 What is 64/3 of a year in months? 256 Convert 240.5255 decades to years. 2405.255 How many centimeters are there in 3.89427 meters? 389.427 Convert 187.7364 tonnes to
{ "pile_set_name": "DM Mathematics" }
at is the hundred thousands digit of 412884? 4 What is the units digit of 1456084? 4 What is the ten thousands digit of 1846492? 4 What is the units digit of 3359030? 0 What is the tens digit of 363907? 0 What is the units digit of 6267259? 9 What is the millions digit of 1224646? 1 What is the thousands digit of 1884115? 4 What is the hundreds digit of 6055902? 9 What is the hundred thousands digit of 6275994? 2 What is the ten thousands digit of 2753588? 5 What is the hundreds digit of 1823363? 3 What is the hundred thousands digit of 939577? 9 What is the hundreds digit of 344878? 8 What is the hundreds digit of 4022512? 5 What is the thousands digit of 9776151? 6 What is the ten thousands digit of 181399? 8 What is the hundreds digit of 3396838? 8 What is the hundred thousands digit of 21280374? 2 What is the ten thousands digit of 132501? 3 What is the hundred thousands digit of 152121? 1 What is the hundred thousands digit of 485730? 4 What is the hundred thousands digit of 10452943? 4 What is the units digit of 25072527? 7 What is the tens digit of 1369826? 2 What is the units digit of 8112073? 3 What is the hundreds digit of 1054266? 2 What is the hundred thousands digit of 3162182? 1 What is the ten thousands digit of 1229679? 2 What is the units digit of 46109? 9 What is the hundreds digit of 651181? 1 What is the ten thousands digit of 7295772? 9 What is the hundreds digit of 574508? 5 What is the tens digit of 697679? 7 What is the hundreds digit of 858586? 5 What is the thousands digit of 52057? 2 What is the ten thousands digit of 2264345? 6 What is the hundred thousands digit of 332930? 3 What is the hundred thousands digit of 3515271? 5 What is the hundreds digit of 6564146? 1 What is the tens digit of 33166618? 1 What is the millions digit of 1277239? 1 What is the hundreds digit of 4700028? 0 What is the ten thousands digit of 195996? 9 What is the ten millions digit of 23059543? 2 What is the hundred thousands digit of 1799776? 7 What is the hundred thousands digit of 17548466? 5 What is the millions digit of 4031320? 4 What is the thousands digit of 16702737? 2 What is the hundreds digit of 884499? 4 What is the tens digit of 820251? 5 What is the ten thousands digit of 301758? 0 What is the tens digit of 39971? 7 What is the units digit of 13058601? 1 What is the ten millions digit of 30840914? 3 What is the units digit of 50862? 2 What is the hundred thousands digit of 1110306? 1 What is the hundred thousands digit of 6723090? 7 What is the hundreds digit of 13942929? 9 What is the hundred thousands digit of 375403? 3 What is the ten thousands digit of 1382081? 8 What is the units digit of 306484? 4 What is the hundreds digit of 16294144? 1 What is the units digit of 1317662? 2 What is the units digit of 2116358? 8 What is the ten thousands digit of 887698? 8 What is the units digit of 7548624? 4 What is the tens digit of 243361? 6 What is the ten thousands digit of 837816? 3 What is the hundreds digit of 351686? 6 What is the thousands digit of 673625? 3 What is the thousands digit of 129635? 9 What is the tens digit of 4775039? 3 What is the ten thousands digit of 417577? 1 What is the ten millions digit of 33334712? 3 What is the ten thousands digit of 34852892? 5 What is the hundreds digit of 276323? 3 What is the units digit of 4633322? 2 What is the hundreds digit of 3013236? 2 What is the tens digit of 59535? 3 What is the hundreds digit of 10469211? 2 What is the tens digit of 207335? 3 What is the hundred thousands digit of 229264? 2 What is the thousands digit of 621317? 1 What is the hundreds digit of 866194? 1 What is the thousands digit of 802129? 2 What is the thousands digit of 28147842? 7 What is the millions digit of 19416773? 9 What is the millions digit of 16257399? 6 What is the hundreds digit of 10730646? 6 What is the tens digit of 156340? 4 What is the units digit of 293526? 6 What is the tens digit of 20391418? 1 What is the tens digit of 170304? 0 What is the millions digit of 5654967? 5 What is the tens digit of 1800030? 3 What is the tens digit of 1644755? 5 What is the ten thousands digit of 274015? 7 What is the tens digit of 56491? 9 What is the hundred thousands digit of 1459331? 4 What is the ten thousands digit of 134311? 3 What is the hundreds digit of 1053024? 0 What is the tens digit of 280079? 7 What is the thousands digit of 131879? 1 What is the tens digit of 12437009? 0 What is the units digit of 79703? 3 What is the tens digit of 860810? 1 What is the units digit of 369527? 7 What is the millions digit of 1247832? 1 What is the hundreds digit of 568409? 4 What is the tens digit of 224765? 6 What is the millions digit of 1245466? 1 What is the units digit of 3530517? 7 What is the tens digit of 6278034? 3 What is the hundreds digit of 20873222? 2 What is the ten thousands digit of 299335? 9 What is the hundred thousands digit of 297911? 2 What is the units digit of 229496? 6 What is the hundreds digit of 12430935? 9 What is the hundreds digit of 3794181? 1 What is the millions digit of 1373640? 1 What is the hundred thousands digit of 532668? 5 What is the hundred thousands digit of 850358? 8 What is the tens digit of 605049? 4 What is the hundreds digit of 159716? 7 What is the units digit of 280137? 7 What is the units digit of 497832? 2 What is the hundreds digit of 4521250? 2 What is the tens digit of 1499146? 4 What is the ten thousands digit of 117125? 1 What is the hundred thousands digit of 107789? 1 What is the hundreds digit of 1015371? 3 What is the tens digit of 496695? 9 What is the hundreds digit of 785451? 4 What is the thousands digit of 80738? 0 What is the hundreds digit of 3242931? 9 What is the hundred thousands digit of 10387420? 3 What is the ten thousands digit of 19299560? 9 What is the thousands digit of 1870645? 0 What is the ten thousands digit of 9490965? 9 What is the units digit of 28213949? 9 What is the thousands digit of 77955? 7 What is the hundreds digit of 143370? 3 What is the thousands digit of 70229? 0 What is the units digit of 1977467? 7 What is the units digit of 3978232? 2 What is the ten thousands digit of 1570045? 7 What is the tens digit of 1368555? 5 What is the hundreds digit of 406710? 7 What is the thousands digit of 2490277? 0 What is the thousands digit of 1146789? 6 What is the thousands digit of 3504387? 4 What is the tens digit of 2936405? 0 What is the hundred thousands digit of 2015959? 0 What is the hundred thousands digit of 3879320? 8 What is the units digit of 238401? 1 What is the tens digit of 1929562? 6 What is the hundreds digit of 292719? 7 What is the ten thousands digit of 159328? 5 What is the ten millions digit of 13752229? 1 What is the ten thousands digit of 5913694? 1 What is the millions digit of 6370372? 6 What is the hundred thousands digit of 416153? 4 What is the units digit of 4511978? 8 What is the units digit of 10823434? 4 What is the tens digit of 1858535? 3 What is the units digit of 383355? 5 What is the ten thousands digit of 3998488? 9 What is the ten thousands digit of 18390951? 9 What is the hundreds digit of 115882? 8 What is the millions digit of 5849709? 5 What is the hundred thousands digit of 3678394? 6 What is the tens digit of 8071623? 2 What is the units digit of 16825848? 8 What is the tens digit of 1173426? 2 What is the ten thousands digit of 102422? 0 What is the tens digit of 1032744? 4 What is the hundred thousands digit of 545013? 5 What is the tens digit of 382752? 5 What is the hundreds digit of 11580? 5 What is the tens digit of 70029? 2 What is the units digit of 5707213? 3 What is the ten thousands digit of 6110927? 1 What is the tens digit of 5237807? 0 What is the thousands digit of 5811304? 1 What is the thousands digit of 30118636? 8 What is the tens digit of 8985072? 7 What is the hundred thousands digit of 10755552? 7 What is the tens digit of 7169694? 9 What is the ten thousands digit of 13172282? 7 What is the ten thousands digit of 627047? 2 What is the tens digit of 1142069? 6 What is the hundreds digit of 6580? 5 What is the thousands digit of 14708475? 8 What is the millions digit of 23716157? 3 What is the millions digit of 1067535? 1 What is the tens digit
{ "pile_set_name": "DM Mathematics" }
= -0*r - f. Is r a multiple of 20? True Suppose -4*y + 50 = 3*h, -4*h - 66 = -4*y + h. Does 14 divide y? True Suppose -20 = 4*l - 140. Is 15 a factor of l? True Let p(m) = 3*m**2 + 2*m + 1. Let z be p(4). Suppose 4*l + 1 - z = 0. Suppose -t - t + l = 0. Is 3 a factor of t? False Suppose -6 - 9 = -3*a. Suppose 2*v + 2*i = v + 87, -5*i = -a*v + 375. Let m = v + -56. Is 11 a factor of m? False Does 8 divide ((8/5)/1)/((-3)/(-90))? True Suppose 0 = -5*k - 4*s + 16, 5*k + 5*s - 11 = k. Suppose -b = -k*b + 108. Does 12 divide b? True Suppose -5*g + 4*p = p - 27, 2*g - 15 = -3*p. Let y = g - 0. Is 3 a factor of y? True Suppose 0 = -z, 4*z - 3 = p + 2*p. Let b(j) = -35*j. Let i(o) = 12*o. Let m(x) = 6*b(x) + 17*i(x). Does 3 divide m(p)? True Suppose 3*i = -0*i + 114. Does 19 divide i? True Let c(z) be the first derivative of z**5/60 + z**4/24 - 3*z**3/2 + z**2/2 + 1. Let p(n) be the second derivative of c(n). Does 18 divide p(-7)? False Let l(q) = 4*q**2 - 20*q - 4. Is l(9) a multiple of 19? False Suppose 2 = i - 2. Suppose 3*k = 3*h - 0*k - 21, i*k + 8 = 0. Suppose -5*r + 1 = b + 15, -4*b = h*r - 19. Does 11 divide b? True Is 15 a factor of 352/3 + (1 - (-8)/(-6))? False Suppose 3 = 2*y - 3. Let v(n) = -n**3 + n**2 + n + 4. Let c(k) = -1. Let h(o) = -6*c(o) - v(o). Does 7 divide h(y)? False Suppose j = -5*l - 19, -3*j = -2*j + 2*l + 10. Let r = j - -15. Does 2 divide r? False Let a(z) be the third derivative of 11*z**7/5040 + z**6/720 - z**5/30 - z**2. Let d(s) be the third derivative of a(s). Is 15 a factor of d(3)? False Let c(q) = -q**2 - 17*q + 15. Is 31 a factor of c(-16)? True Suppose 5*i + 0*c + 3*c = 291, -4*i - 4*c = -228. Does 7 divide i? False Let l = 874 - 614. Does 26 divide l? True Let i(k) = -k**3 + 2*k. Let g be i(-2). Suppose -g*s + 14 = 4*t - 3*s, -t + 2*s = 1. Is 12 a factor of 40 - t - (-2 - -3)? True Suppose 0*t = -2*t + 8. Let c(v) = v**3 - 4*v**2 + 2*v - 6. Let j be c(t). Suppose 40 = 4*r + 4*f, -4*f + 10 = j*r - 0*r. Is 15 a factor of r? True Suppose -4*c + 5 - 31 = -2*s, 3*s - 5*c = 34. Let i(l) = 14*l. Is 14 a factor of i(s)? True Let j = 138 + -98. Let z = -29 + j. Is 11 a factor of z? True Suppose 31*p = 39*p - 592. Is p a multiple of 37? True Suppose 0 = -3*c + 9, w + 2*c + 31 = 82. Let j = 0 - -2. Suppose 0 = 7*q - j*q - w. Does 9 divide q? True Let j(k) = 51*k. Is j(1) a multiple of 4? False Does 37 divide 1/(4 - 1478/370)? True Let h = 55 - 13. Is h a multiple of 7? True Suppose -12 = -4*p + 4*o, -11 = -p + 2*o - 3*o. Suppose -z = p - 1. Is ((-52)/z)/((-8)/(-12)) a multiple of 10? False Let z = 3 - 11. Let c(g) = -g - 3. Let r be c(z). Suppose 4*q - 107 = -p + 5, -5*p = r*q - 155. Does 10 divide q? False Let t(o) = o**3 - 8*o**2 + 6*o - 1. Let s be t(5). Suppose 0 = 5*c - 4*u - 458, 2 + 0 = -u. Let a = c + s. Is a a multiple of 22? True Let b(d) = -14*d + 2. Is 14 a factor of b(-1)? False Let d(a) = -a**3 - 4*a**2 + 3*a + 2. Let x be d(3). Let g = -26 - x. Let i = -2 + g. Does 12 divide i? True Let y = -2 + 5. Let i be 32 + 1*(-3)/y. Let p = 43 - i. Is 6 a factor of p? True Let y = -329 - -552. Is 11 a factor of y? False Let s = 110 + -47. Does 22 divide s? False Suppose -k + 5*k - 4 = 4*m, 0 = -2*k - 3*m + 12. Let g(j) = -4*j - 6*j**2 + 9 - 3*j**k - 4 + 2*j**3. Is g(-6) a multiple of 12? False Let m(v) = -6*v + 2. Let z = -10 + 7. Is m(z) a multiple of 11? False Let i(a) = 4*a**3 - 5*a**2 + a + 3. Let h be i(3). Let s be (-5)/(-2) - 2/4. Suppose 5*n - h = s*n. Is n a multiple of 16? False Let v(p) = -40*p - 5. Let g be v(-6). Suppose -5*x - g = -5*z, 76 = 2*z - x - 19. Is 11 a factor of z? False Let s(m) = -m + 18. Let y be s(0). Suppose 0 = h - 64 + y. Is 23 a factor of h? True Let u(j) = 17*j + 3. Let c(s) = 34*s + 7. Let x(n) = -2*c(n) + 5*u(n). Is x(1) a multiple of 18? True Does 5 divide 2/9 + 176/18? True Suppose 13 + 15 = -4*x. Let d = 19 - x. Is d a multiple of 7? False Let m = -101 + 197. Is 24 a factor of m? True Is ((-14)/28)/((-2)/208) a multiple of 12? False Does 18 divide -3 - 346/((-2)/1)? False Let c = 340 - 157. Does 21 divide c? False Let u = 167 - 71. Is u a multiple of 5? False Suppose -2*o = 4*t - 108, -5*o + 126 = 5*t + 1. Suppose 2*g + 5*u = 30, -3*u = 3*g + 2*g - 37. Suppose t = 4*c - 5*w, 0*c + c + g*w - 1 = 0. Does 3 divide c? True Suppose 0 = -5*h - 2*o + 1078, 0 = 4*h - 0*h + 2*o - 862. Does 18 divide h? True Let p = 1 - -2. Is p*(-1)/(-3) + 53 a multiple of 15? False Let x(f) = 12*f + 2. Is x(2) a multiple of 13? True Suppose -845 = -14*x + 261. Is x a multiple of 7? False Let u be 4/(-6) + (-4)/(-6). Suppose -2*h + 0*h = -8. Suppose -2*o + 20 - 6 = -4*w, u = h*o - 4*w - 24. Is o a multiple of 2? False Let n(h) = h + 8. Let v be n(-6). Does 18 divide (v/6)/((-3)/(-198))? False Let t = 120 + -171. Let n = t - -89. Is 19 a factor of n? True Let x be 22/4 - (-2)/4. Suppose -3*h = -h - 18. Let f = h - x. Is 3 a factor of f? True Let q(p) = -p**3 + 16*p**2 + 23*p - 22. Let k be q(17). Let w = -33 + k. Is w a multiple of 27? False Let r(b) = b**2 - 7*b - 9. Is r(-4) a multiple of 16? False Let u be (-25)/(-4) - 15/(-20). Let o(g) = -g**3 + 7*g**2 + 7*g - 1. Is o(u) a multiple of 20? False Let k(g) be the third derivative of g**8/6720 + g**7/2520 - g**6/720 - g**5/60 + 3*g**2. Let n(s) be the third derivative of k(s). Is 4 a factor of n(1)? True Let i be 18/5 - 2/(-5). Suppose -s - 1102 = -i*u - 187, -u + 234 = 5*s. Suppose 3*j - g = 168, -j + u = 3*j - 3*g. Is j a multiple of 19? False Let a(w) = 3 + 24*w - w - 2 + 0*w. Is a(1) a multiple of 9? False Let v = 6 - 6. Suppose -5*n - 119 + 29 = v. Is 6 a factor of 2*n/(-21)*7? True Let a = 12 + -10. Suppose 0 = l + a*l - 216. Is l a multiple of 13? False Is (22/1)/((-12)/(-54)) a multiple of 23? False Let v = 31 - 10. Is v a multiple of 7? True Let r be (-2)/(-8) - 14/(-8). Suppose r*h = h + 4. Suppose h*w = w + 60. Is 7 a factor of w? False Let k(y) = 2*y + 5. Let x be k(-4). Let z(t) = -t**2 - 6*t + 2. Let v be z(x). Let p = v - 8. Does 3 divide p? True Suppose -2*f = -0 - 4. Let u(q) = -q**3 + 6*q - 3*q**2 - 3*q + q - 2*q**f. Does 6 divide u(-6)? True Suppose 70 = 2*f - 5*h, f + 26 = 2*f + 2*h. Let b = f - 16. Is 7 a factor of b? True Let n = -7 + 64. Suppose n + 98 = 5*j. Let f = 44 - j. Is f a multiple of 13? True Let s be (54/5)/((-5)/(-25)). Does 12 divide 2/(-1 - s/(-50))? False Does 13 divide (-4)/(-18) + 1074/27? False Let l = 19 + -13. Let q be 2*2*(0 - 1). Is 7 a factor of q/l + 176/12? True Let d be 4 - 2*(-1 + 2). Let g = 70 - 42. Suppose -4*w + d*w = -g. Does 14 divide w? True Let x = 1 + 3. Suppose 2 = -x*h + 5*r - 3, 4*h - 2*r - 10 = 0. Suppose 3*u = -2*u - 4*q + 80, -h*u = 2*q - 80. Does 8 divide u? True Let o be (-1 + 4 - 1) + 0. Suppose 4*c = -4*t + 8, 0*c = t + 2*c - o. Is 2 a factor of (6/3)/(1/t)? True Let u = -146 + 254. Does 27 divide u? True Let x(o) = 31*o**2 + 2*o - 1. Let q be x(1). Let y = q - 21. Suppose 5*k - y - 27 = -4*g, 3*k - 15 = -5*g. Is k a multiple of 10? True Suppose 0 = -6*w + 2*w + 2*b + 1146, 3*b = 2*w - 567. Does 24 divide w? True Let g(n) = 3*n**2. Let y(f) = 10*f**2 - 1. Let a(r) = -7*g(r) + 2*y(r). Let p be a(-6). Let b = 58 + p. Is b a multiple of 10? True Suppose 2*j - 5*j = 4*x - 48, 3*x - 36 = 2*j. Does 11 divide 44/(-6)*x/(-4)? True Let q be (32/(-12) + 2)*-15. Does 3 divide (q/4 + -2)*12? True Let p = 201 - -105. Let w = p - 216. Suppose w = 2*z + z. Does 15 divide z? True Let l = 9 - -62. Does 16 divide l? False Suppose -5*m = 5*b + 45, 3*b = 3*m + 16 + 11. Let i = -7 - m. Does 5 divide 15/(-6)*i/(-1)? True Suppose 0*f - 5*f - 32 = r, -2*r - 2*f - 24 = 0. Let t be 8/(-6)*(r - 8). Suppose k - t = -3*k. Is 2 a factor of k? False Does 25 divide 60 - (-2)/(2/(-3))? False Is -4 + 2 + 123 + 2 a multiple of 18? False Suppose -3*h + 5*h - 292 = 0. Suppose 4*w - 389 = -5*i, -2*i - w + h = 3*w. Does 27 divide i? True Let z(s) = s**3 + 6*s**2 - 4*s + 1. Let h be z(-6). Suppose -4*j - 4 = r, 3*j + 2*j = -5*r + h. Does 8 divide r? True Let i = -260 - 70. Does 22 divide 15/2*i/(-25)? False Is -1*(-2 + -108) + -4 a multiple of 53? True Let z = 4 - 4. Does 3 divide 30/35*(7 + z)? True Let s(j) = j**2 + 5*j + 2. Let v be s(-5). Suppose -m - v + 1 = 0, -k - 3*m = 3. Suppose k*y + 45 = 5*y. Is 3 a factor of
{ "pile_set_name": "DM Mathematics" }
t from {i: 1, k: 1, w: 3, l: 5, x: 4}. 5/8008 Two letters picked without replacement from {a: 1, j: 3, p: 3, x: 1, q: 2, w: 2}. What is prob of sequence jw? 1/22 Three letters picked without replacement from {x: 2, j: 1}. What is prob of sequence xjx? 1/3 Three letters picked without replacement from {z: 3, f: 1, u: 3, h: 3, n: 3, t: 2}. Give prob of sequence tzf. 1/455 What is prob of sequence ez when two letters picked without replacement from zpecr? 1/20 Two letters picked without replacement from {b: 1, f: 5, e: 2, k: 2, d: 4}. Give prob of sequence fb. 5/182 Three letters picked without replacement from yllyyxoloxll. Give prob of sequence loo. 1/132 Three letters picked without replacement from {u: 1, q: 4, a: 3}. What is prob of sequence aqu? 1/28 What is prob of sequence ytu when three letters picked without replacement from ututuuuyuu? 7/360 Two letters picked without replacement from clvvvjllvzzzvvvvvvc. What is prob of sequence vj? 5/171 Three letters picked without replacement from {z: 6, r: 2, f: 5}. Give prob of sequence fzf. 10/143 Calculate prob of sequence ymym when four letters picked without replacement from mbmynmvyvnbbhm. 1/1001 Two letters picked without replacement from {z: 2, e: 1, r: 1, k: 2, j: 2}. What is prob of sequence ek? 1/28 What is prob of sequence rs when two letters picked without replacement from {s: 14, o: 1, r: 5}? 7/38 What is prob of sequence toos when four letters picked without replacement from {t: 2, s: 6, k: 2, o: 8}? 7/765 Three letters picked without replacement from {p: 13, j: 5}. Give prob of sequence jjj. 5/408 What is prob of sequence it when two letters picked without replacement from kizttkfikk? 2/45 What is prob of sequence ddd when three letters picked without replacement from ddbbdddddd? 7/15 Three letters picked without replacement from {h: 10, g: 6, y: 2}. What is prob of sequence yyg? 1/408 Two letters picked without replacement from {p: 1, g: 2, u: 1, j: 2, k: 1, r: 1}. What is prob of sequence kr? 1/56 Calculate prob of sequence sm when two letters picked without replacement from fffsfrmfrfffsj. 1/91 Three letters picked without replacement from amaaaammmmaam. What is prob of sequence mam? 35/286 What is prob of sequence unzh when four letters picked without replacement from {z: 1, u: 1, h: 2, n: 1}? 1/60 What is prob of sequence hdd when three letters picked without replacement from {k: 2, h: 1, d: 4, f: 1}? 1/28 What is prob of sequence bb when two letters picked without replacement from qbbbbqdxdx? 2/15 Calculate prob of sequence fff when three letters picked without replacement from ssfmfffs. 1/14 Calculate prob of sequence gzhz when four letters picked without replacement from zhelhezxg. 1/756 What is prob of sequence dd when two letters picked without replacement from {c: 4, d: 9, e: 1}? 36/91 What is prob of sequence dfff when four letters picked without replacement from ffddfffd? 3/28 Two letters picked without replacement from rmvmt. Give prob of sequence tm. 1/10 Calculate prob of sequence rqr when three letters picked without replacement from rreaeoq. 1/105 Calculate prob of sequence uukk when four letters picked without replacement from {u: 2, j: 8, k: 2}. 1/2970 Calculate prob of sequence dddd when four letters picked without replacement from ddddddddd. 1 Calculate prob of sequence dpgc when four letters picked without replacement from ggrpgpcpgrpdpgrgprpp. 2/4845 Calculate prob of sequence ffgh when four letters picked without replacement from {g: 5, h: 1, f: 12}. 11/1224 Two letters picked without replacement from {n: 2, s: 2, x: 1, v: 1, i: 1}. What is prob of sequence xv? 1/42 Two letters picked without replacement from hvvwsss. Give prob of sequence vv. 1/21 What is prob of sequence qqqq when four letters picked without replacement from {q: 4, w: 15}? 1/3876 Calculate prob of sequence mtlt when four letters picked without replacement from {t: 5, m: 5, l: 2, u: 3}. 5/819 Calculate prob of sequence jsj when three letters picked without replacement from qjqjjqssjjjj. 7/110 What is prob of sequence adp when three letters picked without replacement from {a: 1, p: 1, u: 3, t: 2, d: 1, w: 3}? 1/990 Four letters picked without replacement from {m: 2, b: 1, l: 1, u: 1}. Give prob of sequence ubml. 1/60 What is prob of sequence yq when two letters picked without replacement from qqyiqyq? 4/21 Calculate prob of sequence sbn when three letters picked without replacement from {y: 1, n: 4, s: 4, v: 1, k: 1, b: 1}. 2/165 Two letters picked without replacement from {a: 4, z: 3, b: 2}. Give prob of sequence az. 1/6 Three letters picked without replacement from xlxjdjxxxlddxljxxkd. Give prob of sequence xdk. 16/2907 What is prob of sequence ay when two letters picked without replacement from {p: 1, q: 3, k: 3, a: 1, y: 3, d: 3}? 3/182 Calculate prob of sequence sp when two letters picked without replacement from {h: 1, s: 2, p: 1}. 1/6 Three letters picked without replacement from snuswnywp. What is prob of sequence upn? 1/252 Calculate prob of sequence kzxz when four letters picked without replacement from cxcczzomzmckkkz. 1/910 What is prob of sequence bll when three letters picked without replacement from {b: 1, s: 1, r: 4, l: 2}? 1/168 Calculate prob of sequence yyy when three letters picked without replacement from yvyy. 1/4 What is prob of sequence bb when two letters picked without replacement from ttbtbb? 1/5 Four letters picked without replacement from fnbnnfonfobn. What is prob of sequence oobn? 1/594 What is prob of sequence szks when four letters picked without replacement from kxxszxxkkxkxkkcxs? 1/4760 What is prob of sequence qqjq when four letters picked without replacement from qjjqqjjjjjjjjjjj? 1/560 What is prob of sequence ofof when four letters picked without replacement from ffggfgofggo? 1/330 Two letters picked without replacement from {q: 5, i: 1, e: 1, h: 2, t: 2, m: 4}. Give prob of sequence qh. 1/21 What is prob of sequence bib when three letters picked without replacement from {b: 5, i: 9}? 15/182 Two letters picked without replacement from {v: 1, x: 9, d: 1, y: 3, a: 2, n: 3}. Give prob of sequence vn. 1/114 Two letters picked without replacement from hhhhhhhhhhhihhhhih. Give prob of sequence hh. 40/51 Three letters picked without replacement from {m: 1, f: 1, l: 2, n: 2, g: 4, b: 4}. What is prob of sequence mlb? 1/273 What is prob of sequence pg when two letters picked without replacement from {t: 4, p: 1, g: 1, o: 5, d: 1}? 1/132 Three letters picked without replacement from {n: 3, i: 2, p: 1, s: 2, x: 4}. What is prob of sequence ins? 1/110 Four letters picked without replacement from vvvddvvvvvdv. Give prob of sequence dddv. 1/220 Two letters picked without replacement from ftto. Give prob of sequence ft. 1/6 What is prob of sequence hh when two letters picked without replacement from hhhdhhhhdhh? 36/55 What is prob of sequence nhtv when four letters picked without replacement from {n: 1, v: 5, t: 1, d: 1, h: 1}? 5/3024 Four letters picked without replacement from {t: 7, d: 6}. Give prob of sequence ddtd. 7/143 Four letters picked without replacement from {f: 3, m: 1, e: 1, b: 1, l: 1}. Give prob of sequence bfff. 1/140 Two letters picked without replacement from nmbapag. What is prob of sequence na? 1/21 Calculate prob of sequence dcd when three letters picked without replacement from {d: 2, y: 2, c: 1}. 1/30 Calculate prob of sequence rwrp when four letters picked without replacement from {d: 4, w: 4, r: 2, p: 6, y: 4}. 2/4845 Calculate prob of sequence kz when two letters picked without replacement from zonkdkzzz. 1/9 Three letters picked without replacement from {e: 2, v: 8}. Give prob of sequence vev. 7/45 Two letters picked without replacement from {f: 1, v: 6, g: 1, p: 1}. What is prob of sequence vg? 1/12 What is prob of sequence feer when four letters picked without replacement from efre? 1/12 Two letters picked without replacement from lllll. Give prob of sequence ll. 1 Four letters picked without replacement from evrevvervevlvrere. Give prob of sequence leve. 3/952 Two letters picked without replacement from {t: 1, k: 5, v: 3, j: 9}. What is prob of sequence jj? 4/17 Three letters picked without replacement from rrrvrrrrrrrvrvrvrvr. Wha
{ "pile_set_name": "DM Mathematics" }
e) 0 b Which is the closest to 2? (a) 1 (b) -2253 (c) -13.3 (d) -9 a What is the closest to 4689 in -0.372, 4, 0? 4 Which is the nearest to 1? (a) 0.2 (b) 15 (c) -2/9 (d) 0.09 (e) -42.52 a Which is the closest to 124/751? (a) -1/4 (b) -3 (c) 4 a What is the nearest to -0.1 in 16, -32847, -3, 1/7, 8, 0? 0 What is the nearest to -1/4 in 6/73273, -4, 0.5, -2, 0, -0.02? -0.02 Which is the closest to 2? (a) -64 (b) 1/4 (c) 4 (d) 25 (e) -6/25 b What is the nearest to 5300 in -4, 0.5, 0.2, 1, -9.994? 1 What is the closest to -1478984 in 3, 0.3, -0.3, -3/2? -3/2 What is the nearest to -15530 in 1/3, -5, 305? -5 What is the closest to 1 in 85, 2/29, -0.1558, 4/3? 4/3 What is the nearest to 9 in -13.453, 0.5, 1.6, -0.2? 1.6 Which is the nearest to -1/2? (a) -517/7 (b) 1/8 (c) -4 (d) -0.013 d Which is the nearest to -0.1? (a) -0.1015 (b) -3.1197 (c) 1/3 a Which is the nearest to 2? (a) 73521 (b) -2 (c) 2 (d) 2/3 (e) 5 c What is the nearest to 12 in -17, 26, -2/3, -112, -1, 5? 5 Which is the closest to 0.2? (a) -5 (b) -3 (c) 57 (d) 2 (e) -67.32 d What is the closest to -1/2 in 0.31, -19, -1, -4, 2, 2/69? -1 Which is the nearest to 35512? (a) 0.3 (b) 2/17 (c) -1 (d) 0 (e) 2 e Which is the nearest to 1/6? (a) -0.4 (b) 3 (c) 3/671 (d) -2/601 (e) -4 c What is the closest to 1 in 0.1, 6, 27570, 3, 1? 1 What is the closest to 0.7 in -0.2, 4, -19, -1.1, 1/6? 1/6 What is the closest to -3.1 in -2/7, -131, 78, 3/5, 2/17? -2/7 Which is the nearest to -2? (a) -2 (b) -56 (c) -5 (d) -662 a What is the nearest to 9/11 in 3, -18, -0.4, 9? -0.4 What is the nearest to 81 in 7.7, 4, -2/9, -0.06? 7.7 What is the closest to -5/2 in 3453, 2/5, -0.0747? -0.0747 What is the closest to 8 in -0.17, -1, 0.3459, 0.09? 0.3459 What is the closest to 0 in 396, 0.1, 5, -25/4, -0.4? 0.1 Which is the nearest to -2? (a) 5 (b) 9.486 (c) -4 c Which is the nearest to -0.3? (a) 1/17 (b) -2.1 (c) 0 c What is the nearest to 0 in 1/5, -0.008, -261, 11, -1? -0.008 What is the nearest to 17 in -0.24, 1, -2, -1.338? 1 What is the nearest to -21/19 in 4034, -1/7, -16? -1/7 What is the closest to 0.004 in -2/399, -5, -4/23, -1/5? -2/399 What is the nearest to 4/5 in 2/15, -10/2061, -2/11, 2, 5? 2/15 Which is the nearest to -8? (a) 10/9 (b) -4/5 (c) -0.03 (d) 48 (e) -0.063 (f) 2 b What is the closest to 1/2 in -629/5, 0, 0.3, -2/29, 0.5, 0.12? 0.5 Which is the closest to 1? (a) 8 (b) -0.3 (c) 69101 b What is the closest to -3 in -0.2, -4, -1/7, -48115, 3? -4 What is the nearest to 4 in -52.8, -3/2, 7, 441, 2/7? 7 Which is the nearest to 0.1? (a) 4 (b) -38172 (c) -2.6 (d) 45 c What is the nearest to -3 in -337, -4, -1/2, 4.4? -4 Which is the nearest to -8/11? (a) -2 (b) 16 (c) -0.44 (d) 7 (e) 1/5 c Which is the nearest to 0? (a) -32 (b) 1/6 (c) 0.1 (d) 5/4 (e) -1/7 (f) 0.9 c Which is the closest to -0.22? (a) 0.1 (b) 2/129 (c) 4 (d) -0.3 (e) 22.9 d What is the nearest to -11.96 in -10, -57, -1/24? -10 Which is the closest to -1/7? (a) 0 (b) -4 (c) 2 (d) 0.1 (e) 9/13 a Which is the nearest to 325? (a) 4 (b) 0.058 (c) 1/3 (d) 53 d Which is the closest to -1/5? (a) 0.03 (b) 3 (c) -2/5 (d) -256.7 (e) -9/5 c What is the closest to 0.1 in -5, -2/33, -1/549, -113? -1/549 What is the nearest to 0.18 in -1.4, -204, 5, -109? -1.4 Which is the closest to -10/39? (a) -13 (b) -0.5 (c) 1.8 (d) 3/7 (e) -26 b What is the closest to -9/4 in -0.4, 1675/3, 0.3, -3, -1, -0.12? -3 Which is the nearest to -1? (a) -22/3 (b) -0.3 (c) 4/7 (d) 52496/23 b Which is the closest to 72? (a) 39 (b) 2/141 (c) -6 a Which is the closest to 0? (a) 6 (b) -2/11 (c) 0.0497 c What is the closest to 1 in -0.0449, 11/69, 1/4, -5, 6? 1/4 What is the closest to -2.73 in -1/4, -21.6, 0.4, 4, 2? -1/4 What is the nearest to 1/21 in 0.5, -0.04, 22, 5, -1/4? -0.04 What is the nearest to 0.3 in 0.5, 3, 4/71, -0.48, 12? 0.5 Which is the nearest to 0.42? (a) 63/26 (b) 3/4 (c) 4 b What is the nearest to -34 in -3, 38, 0.118? -3 Which is the nearest to 5? (a) -4 (b) -0.04 (c) -4.21 b What is the closest to -2 in 352828/13, -0.3, 0.1? -0.3 Which is the nearest to -0.1? (a) 38.57 (b) 1/113 (c) 2/7 (d) -4 b What is the closest to -1.49 in -3, 149/3, 0.4, -8/3? -8/3 What is the closest to 255.4 in 0.2, -222, -18? 0.2 Which is the nearest to -17? (a) 26 (b) 4 (c) -0.07 (d) -100 c What is the closest to 2/5 in -2, 46, -3/5, 23.2? -3/5 What is the nearest to -1/3 in -1/3, -3/4, -1249, -1/4, 0.04418? -1/3 What is the nearest to -0.1 in -2.1, -36, 0.171, -0.4, -1/7? -1/7 What is the nearest to 438 in 1/4, -176, 1/2, -1/6? 1/2 Which is the nearest to 1/16? (a) -1/3 (b) -1771 (c) 1 (d) 3/5 (e) 2/3 a What is the nearest to 0.106025 in 0.44, -76, -3? 0.44 What is the nearest to 2/29 in -1, -116, 2/9, 24, 4? 2/9 What is the closest to -58 in -2/5, 0.5, -2/7, -250/51? -250/51 What is the nearest to 2921 in 4, -5, 0.0284? 4 What is the nearest to 233 in -758, 0.4, 1/9? 0.4 What is the closest to 5/2 in 0.2, 3/8, -16922? 3/8 What is the nearest to 1 in 12, -1/3, 58/17, -0.03, 0.3, -0.25? 0.3 Which is the nearest to 1/4? (a) -1/3 (b) -2 (c) 8340 (d) 3/83 (e) 5 d What is the nearest to 2 in 0.04, 31, -0.5, -3, -86.4? 0.04 Which is the nearest to -723/2? (a) -0.54 (b) 2 (c) 3 (d) -13 d Which is the nearest to 0.00636? (a) -1/3 (b) 5 (c) -1/2 (d) -0.13 (e) 1/3 (f) 0.3 d What is the nearest to 2 in -0.0145, -2/9, 82? -0.0145 Which is the nearest to -3.14? (a) -425 (b) -0.2 (c) -0.09 (d) 5 b What is the closest to -0.04 in -0.15, 3, 31/53? -0.15 What is the nearest to -1/3 in -0.4, -1/4, 2, -2/175, 8.8? -0.4 Which is the closest to 0? (a) -2 (b) 2/15 (c) -6758 (d) -15 b Which is the closest to 0.1? (a) 0 (b) -1/9 (c) -4 (d) 43/156 (e) 1/4 a What is the closest to -0.1 in -0.5, -4/3, -29679, 2/13, -3/2? 2/13 Which is the nearest to -2/5? (a) -5 (b) -3 (c) -286/5 (d) -590 (e) 2/5 e What is the closest to 0.063006 in -1/19, -1/2, 0, 0.5? 0 What is the nearest to -0.6 in -3, 0.2, 1, -31769, -0.08, -4? -0.08 What is the nearest to -2/7 in -2/4081, 0.049, -0.17? -0.17 What is the nearest to -1069 in -1, 0.06, -10/9, 2/9? -10/9 Which is the closest to 10? (a) 3 (b) 0.1 (c) -2/9 (d) 0 (e) -1.9 (f) 14957 a What is the closest to 31/27 in 3/2, -3.6, 0.5? 3/2 Which is the closest to -0.02? (a) -1/6 (b) -5 (c) -18 (d) 81/2 (e) -0.07 e Which is the closest to -4? (a) 4/5 (b) -20598 (c) 0 (d) 3 (e) 2/5 c Which is the nearest to 3/5? (a) 4 (b) -1 (c) 1129 (d) -0.2 (e) -31 d Which is the closest to -3? (a) 17 (b) 0.17 (c) -0.4 (d) -5 (e) 1/3 d Which is the nearest to 2/9? (a) 0.3 (b) 1.031 (c) -22/3 (d) -2 (e) 1/6 e Which is the closest to 1/19? (a) -1/16 (b) -4 (c) -0.4 (d) -34 (e) 2 a Which is the nearest to 13/7? (a) -3 (b) -5/1986 (c) 2/7 c Which is the closest to -0.032? (a) -6 (b) -3/5 (c) -19 (d) 3 (e) -1 b Which is the nearest to 8441? (a) -20 (b) 4 (c) 0.5 (d) 0 b What is the closest to 7/3 in -4, -2/339, 150, 0.9? 0.9 What is the nearest to -3/2 in 2, 3, 31089, 15? 2 What is the closest to 1 in 0.1, -4/45, 1/20, 332? 0.1 What is the closest to -2633 in -1/6, 2, -0.1, -0.0532? -1/6 Which is the nearest to -2? (a) -1 (b) 0 (c) -0.1 (d) 3.27 (e) 2/13 (f) -8 a What is the nearest to -0.048 in -5, 2/5, 1, -345180? 2/5 Which is the closest to -0.2? (a) -3 (b) -7 (c) -0.3 (d) -14358 c Which is the closest to 361257? (a) -1/6 (b) 0.5 (c) -5 (d) -4 (e) -2/5 b What is the nearest to 2 in -15.2, -3/4, -0.7, 1, -4/17? 1 Which is the closest to 1? (a) 2/39 (b) -3/10619258 (c) -1 a Which is the nearest to 2/7? (a) -2 (b) -165/32 (c) 74 (d) -5 (e) -0.4 e Which is the closest to 24? (a) -4 (b) 1 (c) 5 (d) 67/5 (e) -23/14 d Which is the closest to 29/4? (a) -1 (b) 31 (c) -17 (d) -0.07 d What is the nearest to 0.0818 in -0.044, 0.1, 348? 0.1 What is the nearest to -2/59 in -2/113, -5/7, -1/2, 4? -2/113 What is the nearest to -1/2 in 0.1, 32, -46, -19, -5, -2? 0.1 What is the nearest to 2/5 in 1/3, 8, 156, -256, -3, 0? 1/3 What is the closest to 24 in -0.1172, -34, -5? -0.1172 What is the closest to 1/3 in -2, -0.2, -3, 4302, 3? -0.2 Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
s 1153195349 composite? True Is 43414095503 a prime number? True Is 41524109459 prime? False Is 2194673077 a composite number? True Is 3083856283 composite? False Is 1720385717 prime? False Is 30961858783 prime? True Is 16645766197 composite? True Is 7397375473 composite? False Is 773693149 a prime number? True Is 3347707457 composite? False Is 8970399047 composite? True Is 7935693319 a prime number? True Is 250096589 a prime number? True Is 156151183 a prime number? False Is 834509293 composite? True Is 33875310193 prime? False Is 1284557633 composite? True Is 3469900817 prime? True Is 89212861 a composite number? False Is 1571048337 composite? True Is 88299523 a composite number? True Is 1544103107 a composite number? False Is 5091553235 composite? True Is 126079725311 composite? True Is 2120171227 composite? False Is 670136603 a prime number? True Is 4782671527 prime? False Is 52973393843 prime? True Is 4223208991 a composite number? True Is 65269549693 prime? False Is 198677863 a composite number? False Is 55650305 composite? True Is 1789360042 composite? True Is 11227458943 prime? True Is 13020915239 prime? False Is 39581771 prime? False Is 8106618719 a prime number? True Is 2972121589 prime? True Is 3101453611 composite? False Is 21453733703 a prime number? True Is 294813469 prime? False Is 2528405273 a composite number? False Is 2548764181 a prime number? True Is 13399368977 a composite number? False Is 26559296417 prime? True Is 546473561 prime? True Is 120943449451 a composite number? True Is 1439211889 a composite number? True Is 876060635 composite? True Is 21741087493 a composite number? True Is 2228096479 a prime number? False Is 5970813019 a composite number? False Is 3174418771 prime? False Is 1579339631 a composite number? True Is 24918145961 a composite number? False Is 645989327 a prime number? False Is 2219843243 composite? True Is 36677774051 a prime number? True Is 503117401 a composite number? True Is 164666417 prime? False Is 115825234731 a composite number? True Is 1128499105 composite? True Is 1681691507 a prime number? True Is 833429803 prime? False Is 1025657597 a composite number? True Is 6394956697 a composite number? False Is 12385908949 prime? False Is 9704119427 composite? True Is 219969667 a prime number? True Is 5630648809 composite? False Is 605052289 prime? False Is 1009408129 a composite number? True Is 15999936871 a prime number? False Is 2251540861 a composite number? False Is 51399177169 prime? False Is 51334797667 prime? False Is 12203917633 prime? True Is 367463519 a prime number? True Is 910967221 composite? False Is 6905972357 composite? True Is 8473976233 composite? True Is 2083646221 a prime number? False Is 168723407 a prime number? False Is 21323695051 a prime number? False Is 8490445 prime? False Is 2088677737 a composite number? False Is 61317328759 prime? True Is 1488003593 a prime number? True Is 829654346 prime? False Is 217491359 composite? False Is 662959477 a prime number? True Is 91726398979 a composite number? False Is 8931313331 prime? False Is 23668939201 composite? False Is 87620055571 a prime number? False Is 674899889 composite? True Is 1290881719 prime? True Is 248679589 a composite number? True Is 114149914282 prime? False Is 6279173753 a prime number? True Is 1403949661 composite? False Is 23735256257 a composite number? False Is 5853016013 a prime number? False Is 1684238221 composite? True Is 147932545 a prime number? False Is 4912001263 a composite number? True Is 11105002445 composite? True Is 62909009 a composite number? True Is 1541278561 composite? False Is 42795462001 a prime number? True Is 133313846291 composite? False Is 100182319 composite? True Is 278687407 prime? False Is 2368288669 a prime number? False Is 141335723 prime? True Is 149209449071 a prime number? False Is 24289946309 a prime number? False Is 3152764781 a prime number? False Is 39047849 prime? False Is 28221688679 a prime number? True Is 119310719107 a prime number? True Is 6340711337 composite? False Is 1259155873 a prime number? True Is 8811417253 prime? True Is 830418695 a prime number? False Is 9758150111 prime? False Is 71573487863 prime? False Is 1222826593 prime? True Is 890555881 composite? False Is 104476303003 prime? True Is 5425105267 prime? True Is 118746170819 composite? False Is 1108919243 prime? True Is 10076849479 composite? False Is 32167151363 a composite number? True Is 4188719009 a prime number? False Is 4320518641 prime? False Is 546358889 a prime number? False Is 8136979055 composite? True Is 671619727 a composite number? False Is 7524418709 prime? True Is 408454157 a composite number? True Is 2560456187 a prime number? False Is 1156970711 composite? True Is 2838340649 composite? False Is 1591485091 a prime number? False Is 409886227 prime? True Is 257299606643 composite? True Is 162132401 a prime number? True Is 4289277917 composite? False Is 3061781509 composite? False Is 12400854353 prime? True Is 200991883 composite? False Is 69309822083 a composite number? True Is 22525512103 prime? True Is 32280851 a prime number? False Is 96301515397 a composite number? True Is 460354457 composite? False Is 4418711461 a composite number? True Is 357578783 a composite number? False Is 44998301 a composite number? False Is 777744547 prime? False Is 3362262213 prime? False Is 11994034561 a composite number? False Is 6975281465 a prime number? False Is 554176327 a prime number? True Is 83297134 a prime number? False Is 4118932969 composite? False Is 19765745899 a prime number? True Is 1581703967 prime? False Is 86836843 prime? False Is 8859179639 prime? False Is 3077436209 prime? True Is 622932143 composite? True Is 30571885763 prime? True Is 65991055159 a composite number? False Is 55067153 a prime number? True Is 266826457 a composite number? False Is 296641351 a composite number? False Is 57058313999 a composite number? False Is 5156698809 prime? False Is 6294438589 a prime number? False Is 21955295417 a prime number? False Is 38851749635 a composite number? True Is 9161944489 composite? False Is 1648154741 composite? False Is 49633817 a prime number? True Is 8112061257 a composite number? True Is 11837910473 composite? True Is 2086791699 a prime number? False Is 924431699 a prime number? True Is 18225113707 a composite number? True Is 2541498041 composite? False Is 749045743 prime? False Is 135988543 a prime number? True Is 296351813 a composite number? True Is 144613333 prime? False Is 152057923 a prime number? True Is 215347933 a prime number? True Is 27254687749 composite? False Is 4928431373 prime? False Is 105799514581 a composite number? False Is 28726519453 prime? False Is 22663607 a composite number? True Is 473486147 a composite number? True Is 2464998733 a prime number? True Is 221243511941 composite? False Is 2173122527 a composite number? True Is 6593358977 prime? True Is 40576957847 composite? True Is 532973329 a composite number? True Is 244106132639 a composite number? False Is 21370409897 a composite number? False Is 8557855049 a prime number? False Is 5665037237 a prime number? False Is 295626101081 a prime number? True Is 150290192233 a prime number? True Is 16232423309 a composite number? True Is 2054890187 prime? False Is 2210882539 a composite number? True Is 923962483 a composite number? True Is 170692043 a composite number? False Is 405420439 a prime number? True Is 4526526421 composite? False Is 629007491 a prime number? False Is 5634443 a prime number? True Is 11984445683 a composite number? True Is 263004811 a prime number? True Is 949153097 prime? False Is 145776163 a prime number? False Is 2392030211 a composite number? False Is 228572593 prime? True Is 30337263107 prime? True Is 433535337481 a prime number? True Is 1582223635 prime? False Is 30094027913 composite? False Is 5734207469 composite? True Is 641098877 composite? False Is 2110762499 a prime number? True Is 188609710885 composite? True Is 63673053 composite? True Is 2939707213 a composite number? False Is 51173429071 prime? True Is 790906529 composite? True Is 9147431 a prime number? True Is 303592183 a composite number? False Is 195708101 a prime number? True Is 4729850105 composite? True Is 22853
{ "pile_set_name": "DM Mathematics" }
or v? v Let w be (4/(-7))/(12/(-42)). Let u = -1775/2 + 890. Which is smaller: w or u? w Let f(w) be the third derivative of 5*w**4/12 - w**3/2 + 4*w**2. Let p be f(1). Which is greater: 31/4 or p? 31/4 Suppose 34 + 406 = 8*n. Let p = -53 + n. Is 3/4 >= p? False Suppose 0 = t - 0 - 2. Let r be 40/(-60)*(-21)/t. Is 8 at least r? True Suppose -l = -2*b - 2*b - 12, -5*l = 5*b + 15. Let t be (-1)/(((-4)/b)/4). Let x be t/(-6)*-4*1. Is 0.1 at most as big as x? False Let t(j) = j**3 - 13*j**2 - 19*j - 10. Let m be t(14). Which is greater: m or -79? -79 Let c = -1/1146 + 72211/14898. Which is bigger: 6 or c? 6 Let n = -7/13 - -453/793. Let v(d) = -d**2 + 49*d + 49. Let g be v(-1). Is n smaller than g? False Suppose 3 + 22 = -5*g. Let z(f) = -3*f**3 + f**2 - 2*f + 1. Suppose 4*k - 2 = 2. Let c be z(k). Is g at least as big as c? False Let f = 17/643 - 21712/845545. Is f at least 0? True Suppose 4*w - 2*v + 2 = 2*w, 2*v = w + 3. Suppose 5 = 2*s - s. Suppose 3*a + 2 = s. Is w <= a? True Let a = -137859/122 - -1130. Let l = a + 119/366. Is 2/17 greater than l? False Let a = -31.3 + 31.3. Which is bigger: a or -2/59? a Let y = 12 + -7. Let l = 346 - 346. Which is bigger: l or y? y Let z(s) = s**3 - 3*s**2 - 3*s - 3. Let r be z(-2). Let n = r - -19. Suppose x = -n*x. Which is greater: -1/18 or x? x Let d be (-3)/(-9) + (-62)/6. Suppose 7*c - 5 = 9. Let i be (18/15)/(c/d). Do i and -1 have the same value? False Suppose -3*n - 35 = 32*n. Let b(d) = d**2 - 4*d + 1. Let m be b(3). Let u be (-2)/4 + n/m. Which is bigger: -4/7 or u? u Let j be (-2)/(-1) + 24/(-14). Let y = -324 + 315. Which is greater: y or j? j Let m = 10 + -10. Let j = 1 + m. Let a = j - 1.3. Does a = -0.1? False Let r = 0.52 - 0.47. Suppose -2*g = n - 6*n - 1, -13 = 5*n + 4*g. Which is bigger: n or r? r Let i = 31.081 - -0.179. Let n = i - 31. Let v = 6.26 - n. Which is greater: v or -1? v Let b be (99/(-42))/((-3)/156). Suppose t - 113 = -5*m, -m = 4*t - t - 367. Let f = b - t. Is -1 smaller than f? True Let c be (444/36 + -12)/((-2)/10). Which is bigger: 16 or c? 16 Let j(d) = -d - 1. Let m(x) = -3*x**3 - x**2 + 1. Let o be m(1). Let u be j(o). Suppose w + w - u = 0. Which is smaller: 2 or w? w Suppose 4*z - 5*t = -60, -58*z = -61*z - 5*t - 80. Is -22 > z? False Suppose -1 = 15*j + 14. Which is smaller: 1/3038 or j? j Let y = 0 + 1/12. Let m = 0.1034 + 0.8676. Let h = 0.029 + m. Is y < h? True Let v = -1012 + 1046. Which is smaller: 4 or v? 4 Suppose 0*j - 2*j + 14 = 5*h, -j + 17 = 5*h. Which is smaller: -15 or h? -15 Let y = 0.32 + 13.68. Let s = 11 - y. Let q = 6.1 - 6. Is s less than q? True Let s be (7/(-4))/((-6)/(-24)). Let o = -8 - s. Is 2/103 <= o? False Let g be 8/(-3)*30/(-25). Suppose c - 4*h + 12 = 0, -c = h + 2*h - 2. Let l be (-2)/c - 45/(-30). Which is bigger: g or l? g Let b = -246/385 + 3/77. Which is smaller: b or 24? b Let q = -176 - -176.017. Which is smaller: q or 1? q Let y be 64/36 - (-4)/18. Let i be (y/(-4))/(12/54). Let g be (-1 - 4/(-2))*-3. Is g greater than or equal to i? False Let p(m) = 74*m - 1110. Let f be p(15). Let d be 2 - 15/618*82. Which is greater: d or f? d Let j(c) = 27*c - 23. Let g be j(-4). Let h = -193 - g. Is h <= -121/2? True Suppose 2*q = 13 - 5. Suppose -31 = -5*t + q. Which is bigger: 6 or t? t Let c = -13349/10 + 1335. Let l = 3 + -2. Is l greater than c? True Let j be (-508)/(-1) - 0/(-23). Suppose -11*n - 1311 = -j. Does n = -73? True Suppose 0 = -z - 0*z - j + 25, 3*j + 99 = 3*z. Let s = z - 25. Do s and 1 have the same value? False Suppose 0 = 5*h - 3*w + 25, 0 = -w + 4 + 1. Suppose q = -q - 6. Which is greater: h or q? h Let p(k) = -k - 16. Let z be p(-11). Let h = 22 - 11. Suppose a - 2*m - h = -7*m, -a = -5*m + 19. Is z smaller than a? True Let p = 987 - 948. Are 1.1 and p equal? False Let o be 18/(-66) - 339/(-33). Is o greater than -69? True Let g be 5*-3*198/1395. Do -1 and g have the same value? False Let i be (-4361)/91 + 8/(-104). Are i and -50 nonequal? True Let i = -0.6 + -6.4. Let n = 14 + i. Let p = -78 + 76. Is p != n? True Let m be ((-5)/(-5) + 40)/(1 + -2). Is -4 < m? False Let o(j) = -2*j - 4. Let z be o(-3). Suppose -z*p - 3*p = 0. Suppose g - 1 = -p*g. Is 2 at least g? True Let y = 11 - 17. Let z be (-7)/y - 2/12. Is 5/7 greater than z? False Suppose 0 = -k - 16 + 5. Let y(b) = -4*b + 36. Let s = -46 + 58. Let x be y(s). Which is smaller: k or x? x Let r = -46 + 183/4. Let z = -22.1 + 23. Let s = z + 1.1. Is s >= r? True Let q be 1/(12/(-31))*(4 + 0). Let y(n) = 2*n + 14. Let p be y(-12). Is q != p? True Suppose 0*n + n - 5 = 0. Let m be (n + -4)*-1*-4. Is m < 5/2? False Let q be 87 + (7 - 4) + -5. Is 83 equal to q? False Suppose 0 = -4*m - 2*n + 7*n + 111, m - 18 = -2*n. Suppose -8 = -k - k. Let s be k/m*3*-2. Which is greater: 0 or s? 0 Suppose -204 = 5*k - 219. Let w be (1 - 1) + (-54)/(-14). Is w smaller than k? False Let x = -1376 + 1385. Is -1/11 greater than x? False Suppose 55617 = 39*r + 8739. Are 1201 and r equal? False Let n = 28604195 - 1287134777/45. Let q = n + -1200. Are q and -1 nonequal? True Let f = 6 - 2. Let u be f/(-26) + (-308)/(-988). Let r = u - 53/95. Is 1 less than or equal to r? False Let v be (42/(-56))/(1/(-4)). Let b be v/(-5) - (-12)/(-30). Which is smaller: b or 2/11? b Let h = -69256/199 - -348. Is h < 0? True Let n(v) = -v**2 + 16*v + 91. Let c be n(20). Which is bigger: 1.7 or c? c Suppose -4*a - 3*r = r, a = 5*r. Let f(u) = -u**3 + 3. Let w be f(a). Suppose 0 = -x + w*x + 6. Which is smaller: x or -9/4? x Suppose 14*m = 13*m - 5*p, p = -5*m. Let b be (-2)/8 - 130/(-8). Let t be (-3)/b*(6 - 2). Which is smaller: m or t? t Let b = 2074 - 2062.7. Which is bigger: -10 or b? b Let s(d) = d**3 + d**2 - d + 19. Let x be s(0). Let u(a) = -14*a - 78. Let p be u(-7). Do x and p have different values? True Let m(v) = -v**3 + 20*v**2 + 2*v - 41. Let u be m(20). Are u and -24/29 non-equal? True Let i(g) = g**3 + 8*g**2 - 4*g + 14. Let r be i(-10). Let o = -139 - r. Is o at least 6? True Let w = 0.626 + -0.68. Is 0 < w? False Let r be -6 - ((-3160)/(-17) + (-16)/(-136)). Which is smaller: -191 or r? r Suppose 1 = 5*y - 19. Let n be 6/y*(-20)/(-3). Let a = n + -3. Are 0 and a non-equal? True Let v be 13/(7 - 12/24). Suppose l + 1 = 6. Let y = 8 - l. Is v not equal to y? True Suppose -11 = -2*y - 27. Which is smaller: -6 or y? y Let d = -0.74 - 31.26. Let v = d + 29. Let m = v - -2.9. Is m greater than -25? True Let d be 21 + 1*(0 + -1). Suppose 3*g = 5*i - d, 3*i + g + 17 = -3*g. Let j = 1403/23694 + 1/718. Which is smaller: i or j? j Let n(j) = -17*j**3 + 2*j**2 + 2*j + 1. Let k be n(-1). Let t = 36 - 12. Suppose -2*u = -0*u - 4*i - t, 4*u = -3*i + 81. Is u at least k? True Let j be (10/(-6))/(427/(-42)). Is 1 greater than or equal to j? True Suppose 4*p + 2*k = 12, -26*k = -p - 31*k + 21. Which is smaller: -1/891 or p? -1/891 Let s(z) = -7*z + 247. Let g be s(35). Let n(r) = r**2 + 1. Let b be n(1). Let h be b/(-4)*40/(-12). Which is greater: h or g? g Suppose -2*t = -2*v + 16, 0 = 5*v + t + 4*t. Suppose -3*m = x - 14, -1 - 5 = -v*m + 5*x. Let z be (-3 - 0)*(-3 + 2). Which is smaller: m or z? z Let m be 13 - (-1139)/(-85) - 11/(-15). Is -24 at least m? False Suppose -12 = -2*g + 3*g. Let x be (8/(-14))/(33/(-693)). Suppose 23*q + x = 22*q. Is q less than g? False Suppose 3*u - 2*u = 3*q - 114, 0 = -2*q + 5*u + 63. Let x = 59 - q. Let b = 21 - 0. Is x equal to b? False Suppose 4*m + m = 0. Suppose -22*x + 30*x = 0. Do x and m have the same value? True Let s(q) = -2*q - 13. Let t(b) = b - 20. Let f be t(14). Let v be s(f). Which is smaller: 2/47 or v? v Suppose 48 = -73*v + 25*v. Which is smaller: -2/141 or v? v Let z = 49 + -51. Let t be (-4)/(-16)*1*z*-2. Which is greater: 1/13 or t? t Let v be 315/(-54) + (-1)/6. Let o = v + 5. Let r be 4/(-60) + 2/(-6). Does o = r? False Let o be -44*-3*(-6)/(-9). Suppose -o + 26 = -2*l. Is l >= 30? True Let y = 127 - 0. Let v = -891/7 + y. Is 7 greater than v? True Let t = 38.6 + -29. Let m = -11 + t. Let k = m - -1.6. Is k bigger than 2? False Let p(h) = 12*h + 31. Let r be p(-3). Let m be 655/20 - r/20. Are m and 32 unequal? True Let t = -4705 - -3895741/828. Is t greater than or equal to -1? True Let i be 12/((-93888)/(-80))*(-1 - -2). Do 0 and i hav
{ "pile_set_name": "DM Mathematics" }
3*d. Suppose 14 = 3*q - m, -5*q + 0*m + d*m + 23 = 0. Solve 0 = -a - q, a = 5*w - a - 20 for w. 2 Suppose -5*a - k + 39 = 0, 4*a + 0*k - 34 = 2*k. Solve m - b = 5, 0*b = -2*m + b + a for m. 3 Let f be 0/(-3) - -3 - 1. Solve -f*m + 1 = 4*o + 7, -5*m + 18 = -o for o. -3 Suppose 105 = 5*s + 35. Let y be (0 - 1)*2*-1. Suppose 0 = y*a + 3*a - 25. Solve l = -5*j + 16, -a*l - 3*j + s = -0*j for l. 1 Let r(q) = -7*q. Let k be r(-5). Solve 2*a = -4*y + 22, 0*y - k = -5*a - 5*y for a. 3 Suppose 5*i = -0*i - g + 100, -28 = -2*i + 2*g. Solve -h + 3*s = -i, -s - 14 = -h + s for h. 4 Let d = 7 + 9. Suppose 2*w + d = 24. Solve 13 = 3*k + 2*o - w*o, -3*k = 2*o - 5 for k. 3 Suppose -4*n + 0*n = 0. Solve -2*j - 10 = -7*m + 3*m, n = -5*m + 5*j for m. 5 Suppose 0 = 2*h + 3 - 9. Suppose 24*z - 22*z - 6 = 0. Solve z*s + 18 = 3*u, -h*s - u + 9 = -5*s for s. -3 Suppose 5*b - 23 = -4*a - 0*b, 5*b - 11 = 2*a. Let g be 1/a*0*-1. Solve -5*p = -32 + 12, 4*z - p + 16 = g for z. -3 Let b(a) = 4*a**3 + 2*a**2 - 1. Let i be b(1). Suppose i*d + 20 = -g, -5*g + 4*d - 2*d + 35 = 0. Solve -g*q = 3*u + 20, -7 + 19 = u - 3*q for u. 0 Suppose -y = 3*y + 60. Let j be y/((-3)/2 + 1). Suppose -5*h + 3*w = -54, -4*h + j = -w + 3*w. Solve 0 = -4*r + 4*f + 24, h*r - 4*r + f = 0 for r. 1 Let r be (6/(-2))/(27/(-18)). Solve -c = 5*l + 11, 0 = r*l + 5*c - 0*c - 14 for l. -3 Let w(r) = 2*r**2 - 2*r + 3. Let t be w(2). Let c(s) = -t + s**2 - 1 - 3*s + 2. Let y be c(5). Solve 5*u - 4*a - 29 = 0, 0 = -u + 4*a + 5 + y for u. 5 Let f be 28/5 + 3/(-5). Solve -h + 0*t - 4*t = 4, -h = -f*t - 5 for h. 0 Let x be 6/(-9) + (-33)/(-9). Solve 0 = -4*h - c - 21, 2*h - x*c = -0 + 7 for h. -4 Let u = 59 - 54. Solve -4*l = v + 19, -l + 5*v + 15 = -u*l for l. -5 Let z(b) = 3*b. Let q be z(1). Suppose q - 8 = -v. Solve -h = 2*s + 1, 5*h - v*s + 2 = 3*h for h. -1 Suppose i = 4*l - 15, 0 = 2*i - 7 - 3. Suppose -2*t + l*t - 30 = 0. Solve 3*f - 23 = -5*m, f - 11 = -5*m + t for f. 1 Let u(z) = -2*z + 12. Let t be u(-7). Solve -3*q + k - 18 = -0*k, 4*q - 2*k + t = 0 for q. -5 Let k(w) = w**2 - w. Suppose -x = 3*v - 3*x, 2*x = 2*v. Let q be k(v). Solve q = 5*g - 4*n - 2, 0*g - 5*n + 16 = 3*g for g. 2 Suppose -3*i + 12 = 0, -j + 4*j - i = -4. Solve -2*z + 5*h - 31 = j, 9 + 7 = -2*z + 2*h for z. -3 Suppose 4*n = -x + 32, -2*n - 2*n + 2*x + 32 = 0. Solve -4 = 5*u + 4*l, 0 = -3*u - 4*l - l + n for u. -4 Let i(w) = w**2 + w - 1. Let z(j) = -3*j**2 - 5*j. Let g(f) = 4*i(f) + z(f). Let u be g(3). Solve -b + 5 = -s, -5 = s - u*b - 3*b for s. -5 Suppose -2*h = 3*h - 25. Solve -4*c + h*r = -24, c + 3*r = 4*r + 5 for c. 1 Let m be (28/21)/((-4)/(-6)). Solve -m*g - 4 = 0, -2*g - 10 = -2*u + g for u. 2 Suppose 0*t + 2*n + 16 = 2*t, n = -4*t + 32. Solve -3*l + 4*p - 2 = 0, -4*l = 4*p - t*p for l. 2 Let q be (-2 - 0) + 0 - -18. Solve 3*d - q = 4*n + 3, -4*n + 1 = d for n. -1 Suppose 2*r + r - 48 = 0. Suppose 2*v = -5*y + 27, 4*y - 4*v - r = -0*y. Solve y*x + 4*m + 10 = 0, -2*x = -6*x + 4*m + 28 for x. 2 Let z(w) = -w**3 - 6*w**2 + 9*w + 17. Let j be z(-7). Solve 0 = 2*y + j*i + 21, -3*y + 8*y + 2*i + 25 = 0 for y. -3 Suppose 2*a - 2*i = -0*i - 14, -a - 5*i + 17 = 0. Let y be -5*a/(30/4). Solve -2*g = -3*n - 1, -y*g - 4 = -n + 3*g for n. -1 Suppose 0 = 5*d - 3*x - 28, -4*d + 24 = -4*x. Solve 3*o - 3 - 5 = u, 0 = 2*o + d*u + 6 for o. 2 Suppose -5*u + 3*u = -6. Solve -4*v - 5 = 5*b, -4*b = u*v - 9*b - 40 for v. 5 Let n be (-2)/3*(-9)/2. Let u(p) = -p**3 + 23*p**2 - 24*p + 49. Let w be u(22). Solve 5*x + 9 = -3*a, n*a = w*a - 4 for x. -3 Suppose 3*l - 1 = 5. Let n = -2 + l. Solve -p - 2*k + 11 = -n*p, -k + 13 = 3*p for p. 3 Let b be 20/7 + 1/7. Solve -2*f = -4*y + 6, -b*f + 2*y = 3*y + 9 for f. -3 Suppose 5 = 4*n - 27. Let f(k) = k**2 - 7*k + 5. Let c be f(n). Solve 3*s - 9 = 4*i, 3*s - c = 5*i + s for i. -3 Let z be -4 - (-3)/((-9)/(-21)). Solve 5*w = -z*f - 20, -3*f = -8*f + 4*w - 21 for f. -5 Let o = 8 + -4. Let u(v) = -4*v - 4*v**2 - 28 + 27 + 5*v**2. Let m be u(7). Solve -4*b = -m, -2*b - 20 = -o*q - 6*b for q. 0 Let q(a) = -a + 9. Let v be (0 + 0)*-1 + 7. Let z be q(v). Let t = -3 - -3. Solve -5*f - 32 = 4*d, -z*d = -t*d + 6 for f. -4 Let x = 9 + -7. Let l(a) = -5*a + 3 + 2*a + a + a**3 - a**2. Let h be l(x). Solve 5*y - 2*m = h*m + 30, -2*y - 4*m = 12 for y. 2 Suppose 0 = -3*k - q + 63, 3*k - 2*q + 66 = 6*k. Solve -5*z = k, 4*u + z + 4 = -0*u for u. 0 Let t be ((-2)/(-3))/(24/(-36)) - -4. Solve 3*w + 2*f - 3 = 0, -2*w + w + 12 = -t*f for w. 3 Let u(p) = -p**3 + 3*p + 3. Let n be u(3). Let y be (-48)/n + (-1)/5. Solve 5*i = -4*d + 40 + 1, 0 = 4*d - y*i - 1 for d. 4 Suppose 5*w + 3*r + 5 = 0, r + 7 = 2*w - w. Suppose w = -o + 16. Solve 2*q = p - q - 7, 0 = 3*p - 2*q - o for p. 4 Let v be 6/(-6)*1/(1/(-8)). Solve 23 = 4*j - 5*m + v, -5*j = 3*m - 28 for j. 5 Let d(a) = -a**3 - 9*a**2 - 8*a + 2. Let j be d(-8). Solve -j*u = -3*g - u - 13, -5*u = 3*g + 7 for g. -4 Suppose b + 2*a - 3 - 1 = 0, 2*a + 12 = 3*b. Solve -c - j + b = -3*j, -c = -4*j - 6 for c. 2 Let r = -37 - -39. Solve -v + 19 = -5*x, 5*v + 3 = -r for x. -4 Suppose 0 = -5*q + 13 + 27. Let y(g) = g - 3. Let x be y(5). Let d be (14 - x) + (-1 - -1). Solve -2*z = 2*w - 14, -q = -4*z - 2*w + d for z. 3 Let r be ((-10)/45)/(4/(-6))*0. Solve 5*v - 1 + 8 = -3*p, r = -3*p + 3 for v. -2 Let r(c) = -c**3 - 9*c**2 - 6*c + 16. Let z be r(-8). Solve -3*l = z, -l + 6 = 3*g - 9 for g. 5 Let b be (45/10)/((-6)/(-20)). Solve l = 4*j - b, -l + j = 4*l - 1 for l. 1 Suppose 0*a - 2 = -a. Solve -3*g - 9 = 3*c, -a*g - c - 7 = -5*g for g. 1 Suppose 5*b + 0*b = -3*v - 20, -5*b = -5*v + 20. Let y = 2 - v. Suppose -5*o = -0*o - 25. Solve 15 = o*s, y*r + s - 3*s = -10 for r. -2 Let o be (-2)/(-5) - 86/(-10). Suppose n - o = -0*n. Solve u + d = 2, 3*u = -0*d - 4*d + n for u. -1 Let l(v) = -5*v - 1. Let k(n) = n**2 + n - 1. Let y be k(0). Let t be l(y). Solve -1 = s + 2*j - 2, -4*s = 4*j + t for s. -3 Let q = -5 - 7. Let w = q - -17. Solve 2*d + 2*g = 7*g, 5*g - w = d for d. 5 Let r be 5/5 - (0 - 2). Let t = r + -1. Suppose -2*m - 2 = -2*j, 4*m - j - 8 = 3. Solve -t*f - f = -5*g + m, -4*f - 17 = 5*g for f. -3 Let b(p) = 2*p - 9. Let f be b(12). Let l(x) = x - 11. Let j be l(f). Solve 3*y = 4*y - 5*d + 23, 0 = j*y - 5*d + 32 for y. -3 Let n(u) = -29*u - 1. Let j be n(-1). Solve -d - x + 6 = 2, -5*d + 3*x + j = 0 for d. 5 Let z(x) = -4*x**2. Let g be z(1). Let u = g + 7. Solve -y = -u*q - 12, -9 = q - y - y for q. -3 Let b(h) = 10*h - 5. Let o be b(1). Solve 5*s = s - z - o, 5*z = -25 for s. 0 Let c(j) = 0 + j - 5 + 3. Let t be c(2). Suppose t*y = 2*y - 6. Solve -z - 2 = 2*f - 14, 4 = y*z - 2*f for z. 4 Suppose -4*s - 29 = -5*s. Solve 4*r = r - 15, s = 2*y - 5*r for y. 2 Let y(f) be the second derivative of -f**3/6 + 5*f**2/2 - 8*f. Let h be y(0). Solve -n = z, -z - 2*z + h*n - 16 = 0 for z. -2 Let z = 44 - 42. Solve 0*r - z*r + 4 = 4*a, a = 2*r + 11 for a. 3 Suppose 2*l = -0*l - 3*y - 2, -3*l - 4*y - 3 = 0. Let g = 3 + l. Solve -m + 6 = -g*q, 4*q - m - 3 = -19 for q. -5 Suppose -15 = -5*u, 0*f - 3*u = f - 17. Suppose -2 = -3*x + 2*n + f, -3*x = 3*n. Solve -5*k = t - 10, -3*k = t - x - 4 for k. 2 Suppose -12 = -4*f - 36. Let t be (-3)/(-9) - 10/f. Solve 3*n = 5*y - 7, t*y - 3*y = -2 for n. 1 Suppose -q - 2 + 6 = 0. Solve 0*r + 4 = r - 2*k, -2*k = -3*r + q for r. 0 Suppose -9*i = -5*i. Let s be 1 + 1 - (i - -2). Solve 5*l + 4*r - 13 = 0, 2*l + s = -r + 4 for l. 1 Let b = 17 - 15. Let k be (-5)/(-30) + b/(-12). Solve -3*n - 2*n - 3*r - 10 = k, 3*n + 6 = -2*r for n. -2 Let l = 9 + -14. Let o(s) = -s**3 - 4*s**2 + 3*s - 7. Let u be o(l). Solve -5*a - u*b - 5 = 19, -4*a - b = 15 for a. -3 Let b(m) = -3*m - 11. Let u be b(-5). Suppose 2*t - 7 - 3 = 0. Let x = -1 + t. Solve u*j = -3*p, 0 = -p - 0*j + x*j for p. 0 Suppose k - 1 = -0*k. Let a = 0 - k. Let n be (0 - 5)/a*1. Solve -n*r + t + 6 = -t, -5*r + t + 8 = 0 for r. 2 Suppose -8 = -l + 4*s, 0 = 3*l + 2*s - 2 + 6. Suppose l = 4*h - 100 + 24. Solve 4*p + u + h = 0, -5*p + 0 = -4*u + 8 for p. -4 Let q(m) = 2*m**2 - m - 2. Let o be (-7 - 9/(-3)) + 2. Let n be q(o). Solve -3*f - u = 7, f = 2*u - 6 - n for f. -4 Let o be 2/5 + (-36)/(-10). Suppose -4*l + o + 0 = 0. Suppose 14 + l = -5*s, 0 = 3*t - 2*s - 12. Solve 2*a + a + 6 = -t*n, 0 = 4*a - 2*n + 8 for a. -
{ "pile_set_name": "DM Mathematics" }
2 - 19*k**2 + 96*k + 10*k**3 to o + v*k**3 + g*k**2 + z*k and give z. -3 Express -10*k**2 + 29*k**2 - 74*k**2 - 205*k**2 as a + q*k**2 + v*k and give q. -260 Express 4*u**4 - 12*u**4 + 33964*u**3 - 33968*u**3 + 2*u - 3 in the form w*u**3 + o*u**2 + f*u + v + b*u**4 and give b. -8 Express 5*p**2 + 0*p**3 - 59 - p**3 + 94 - 48 as h + w*p**2 + v*p + x*p**3 and give w. 5 Express (7*s**3 + 13*s**2 - 13*s**2)*(-2 + 2 + 14 + (4 - 5 + 0)*(-2 + 5 - 4)) in the form x*s**3 + y*s**2 + m + d*s and give x. 105 Rearrange -21 + b**2 - 156*b - 157*b - 26*b**2 + 313*b to the form u*b + n*b**2 + d and give u. 0 Rearrange (0*h + 4*h - 5*h)*(h - 3*h + 3*h) + 135*h**2 + 10518 - 10518 + (2*h - 2 + 2)*(2 - 2 + 3*h) to the form i*h**2 + b + f*h and give i. 140 Express -338*q - 840*q + 97*q as g*q + c and give g. -1081 Express 3*z**2 + 1 + 33*z**3 + 1 + 3566*z - 3566*z as v + k*z**2 + d*z**3 + i*z and give v. 2 Rearrange j**2 + 1074*j**3 - 1075*j**3 + 1 - 17*j + 0 to the form o + d*j**2 + q*j + g*j**3 and give q. -17 Express (8*q**2 - 269*q**2 + 33*q**2)*(0*q**2 - q**2 + 2*q**2) in the form s + k*q**2 + o*q**4 + t*q**3 + j*q and give k. 0 Rearrange -144 + 68 - 103*r + 76 to t + q*r and give q. -103 Rearrange (-2*q - 5*q - 2*q)*(15 + 9 - 45) to g*q + b and give g. 189 Rearrange -281 + 281 + 360*r to the form w*r + i and give i. 0 Express (2*j**3 + j - j)*(22*j - 131*j - 17*j + 2) as n*j**4 + k + l*j**2 + w*j**3 + o*j and give n. -252 Express 2045*o**2 - 316*o**2 - 542*o**2 in the form y + x*o**2 + c*o and give x. 1187 Express (7 - 7 - 9*c**2)*(-3*c - 4*c**2 + 3*c) + 2*c**4 + 4*c**4 - 7*c**4 + (3*c - 1 + 1)*(-3 - 2*c**3 + 3) as m*c**3 + o + h*c + j*c**4 + y*c**2 and give o. 0 Express -1372 - 1385 + 2768 - 2*s**3 - 5*s in the form d + i*s**3 + l*s + z*s**2 and give d. 11 Express -z + 29*z**2 + 22*z**2 - 2 + 2*z**2 - z**3 - 5*z**2 - z as f*z + u + n*z**2 + h*z**3 and give h. -1 Express -44*v**2 - 9*v**2 + 123 - 123 in the form h*v**2 + p*v + w and give h. -53 Express 14*p - 25*p + 7 + 19*p + 4 as z + v*p and give z. 11 Rearrange 22*j**2 + 4*j**4 + 5*j**3 - 19*j**3 - 3*j**4 + 3*j**3 + 6*j**3 to m*j + l*j**2 + d*j**3 + f + h*j**4 and give l. 22 Express 36 + 112*u - 14 - 23 as h + z*u and give h. -1 Rearrange 27 + 21 + 23 - 71 + 856*t to h + u*t and give u. 856 Express (60 + 66 + 49 + 199)*(-s - 6*s**4 + s) in the form a + o*s**3 + v*s**2 + g*s + n*s**4 and give n. -2244 Express 103*y**2 - 67*y**2 - 58*y**2 in the form z + h*y**2 + w*y and give h. -22 Express -5*v**3 - 2*v - 80*v**2 + 2 + 0*v + 13*v**2 in the form q*v**2 + t + m*v**3 + o*v and give q. -67 Rearrange -5*i - 8*i + 71*i**2 + 24*i - 12*i + 6*i**3 to k*i**2 + s*i**3 + g*i + w and give s. 6 Express 115*v**3 - 13 - 2*v + 3*v**2 - v**4 - 5 - 117*v**3 in the form f*v**4 + c*v**3 + z*v + k + g*v**2 and give z. -2 Rearrange k**2 - 5*k**2 + 3*k**2 - 2*k**2 - 143*k + 4*k**2 to the form c*k**2 + a + d*k and give c. 1 Express -3*k**4 + 354 - 185 - 2*k**2 - 25*k**3 - 167 in the form h + t*k**2 + i*k**3 + y*k**4 + f*k and give i. -25 Rearrange -306*j**3 - 2 + 0*j**4 + 2*j**4 - j - 2*j**2 - 3*j**4 + 305*j**3 to g*j**2 + l + t*j**3 + a*j + p*j**4 and give t. -1 Rearrange (-4 - 8 - 21 + g)*(5*g - 2 + g - 3*g) to o*g**2 + h + n*g and give h. 66 Rearrange (-214*t - 134*t - 123*t - 379*t)*(-3*t + 1 - 1) to the form l + q*t + z*t**2 and give z. 2550 Rearrange ((-2 + 1 + 0)*(-3 - 2 + 3) + 3 - 6 + 2 + 4 - 3 - 30 + 4 - 5 - 4)*(-4 + 2*p + 4) to the form u*p + y and give u. -66 Rearrange (-369*q + 734*q - 368*q + 3*q + 0*q - q + (-1 + 2 + 1)*(4*q - q - 4*q) - q + 0*q + 2*q)*(3*q + 0*q - q) to the form y*q**2 + l*q + v and give y. -4 Express 2*i**3 + 0*i**2 + 3 - 21*i - 3*i**3 + 3*i**2 - 2 as z*i + o*i**3 + j + b*i**2 and give o. -1 Express (92 + 87 + 1718*g - 179)*((-2 - 3 + 4)*(-5 + 5 + 1) - 7 + 3 + 3) as s + q*g and give q. -3436 Express (-701*a + 701*a - 484*a**2)*(1 + 1 - 1)*(3 + 2 - 3)*(2 + 1 - 1) in the form q + c*a + y*a**2 and give y. -1936 Rearrange -113*o**2 + 7 - 2*o**4 - 2 + 51*o**2 + 90*o**2 to the form p*o**3 + j + a*o + u*o**2 + l*o**4 and give l. -2 Rearrange -389 + 194 - 18*q + 196 + q**2 to the form p + f*q**2 + m*q and give p. 1 Express o**4 - 567*o**3 + 0 + 568*o**3 - o + 2 - 2*o**2 in the form c*o**4 + d*o + r*o**3 + j*o**2 + s and give r. 1 Rearrange (2*i**3 - 3 + 3)*(-3*i + i + i) + 62*i**4 - 35*i**2 - 23*i**2 - 64*i**4 to the form b*i**3 + z*i + r*i**4 + l*i**2 + o and give l. -58 Rearrange 4*l**2 + 10*l - 77*l**3 - 12*l - 3 + 78*l**3 to v*l + a*l**2 + i + d*l**3 and give v. -2 Rearrange (-81*a**3 - 85*a + 85*a)*(-a - 2*a + 2*a + (3*a + 3*a - 2*a)*(2 + 0 - 4)) to g*a + p*a**4 + j + c*a**2 + y*a**3 and give p. 729 Rearrange -21*t**4 + 30*t - 63*t + 3*t**2 + 31*t to the form i + k*t + s*t**3 + d*t**2 + b*t**4 and give k. -2 Express (4 - 2 + 0)*(18*a - 104 - 53*a + 36*a)*(2*a - 2*a + a**2) as t*a**3 + u + s*a**2 + b*a and give u. 0 Rearrange -158*q**3 - 2*q**4 + 4*q - 95*q**3 + 157*q**3 + 2 to the form i*q**4 + k + g*q + t*q**3 + j*q**2 and give g. 4 Express g**3 + 4*g**2 + 2*g + g**2 + 13 - 9*g**2 - g**4 + 2*g**2 in the form o*g**2 + k + z*g**3 + i*g**4 + f*g and give o. -2 Rearrange -6*i**3 + 3*i**2 + 116*i**4 + i - 77*i**4 + 3*i**3 + i**2 - 2*i**2 to v + p*i + w*i**3 + d*i**4 + h*i**2 and give w. -3 Express 2*o**2 - 9*o**4 + 16*o**4 + 3 - 2*o**4 - 1 - 4 in the form b*o + a*o**3 + s*o**4 + d + x*o**2 and give s. 5 Express (2 + 0 + 1 + (-2 - 1 + 4)*(0 + 3 - 1) + 16 + 8 - 18)*(3*a + 2*a - 3*a)*(1 + 2 - 5) in the form t + c*a and give c. -44 Express -121 - 12*k + 121 + 3*k**2 - 4*k**2 - 15*k**2 as y*k**2 + v + f*k and give y. -16 Express 2*a**3 + 59 - 59 - 3*a**2 + 30*a**2 + (2*a**2 - a**2 - 2*a**2)*(4*a + 58 - 58) as l*a**3 + v*a + n*a**2 + h and give h. 0 Express -944*n + 15*n**2 + 1 + 1883*n - 955*n as d*n**2 + z*n + q and give d. 15 Express 3*w - 7*w + 25*w**2 + 3*w in the form o*w**2 + k + r*w and give r. -1 Rearrange 18 + 26*m**2 - 32*m**2 + 29*m - 17 to d*m**2 + c*m + g and give c. 29 Express (63*o - 3*o + 8*o)*(-2 - 3 - 1) in the form c + j*o and give c. 0 Express 916 - 1826 + 915 - 45*f**2 as l*f + z + x*f**2 and give z. 5 Express (28*r**4 - 359*r**3 + 359*r**3)*(0 + 0 - 2) + (-2*r**3 + 4*r**3 - r**3)*(-r - r - 13*r) in the form w + o*r**2 + m*r + j*r**3 + q*r**4 and give q. -71 Express (64 + 218 - 2*z - 48)*(-4 + 4 + 1) in the form c + i*z and give i. -2 Rearrange 3*h - 41754 + 41754 + 20*h**2 to the form o + n*h + r*h**2 and give n. 3 Rearrange -38*n**2 + n**3 + 38*n**2 + 4*n**3 - 3 - 2*n to the form g + o*n**3 + y*n + h*n**2 and give g. -3 Rearrange 3*q + 5 - 5 + 2*q + 16*q + 5*q + (-3*q + 2*q - 2*q)*(-2 + 0 + 4) to the form m + r*q and give r. 20 Express (-5 + 4 + 2)*(-3 - 1 + 2)*(-3 + 1 + 0)*(5*k - 4*k + 0*k)*(3*k - 5*k - k) in the form g*k + p + h*k**2 and give h. -12 Rearrange p**4 + 2*p - 2*p**4 - 2*p**2 - p**3 + 0*p**4 + 2 + 0*p**4 to h*p**3 + j*p**4 + u*p + q*p**2 + b and give h. -1 Rearrange 1 + 28*k**2 - 84*k + 1 + 82*k to s*k + q + r*k**2 and give r. 28 Express (1 - 4 - 1)*(-41*a - 56*a + 147*a) as v + s*a and give s. -200 Rearrange 1 + 2 + 72*x - 3 to the form g + f*x and give f. 72 Rearrange 0*y**3 + 3*y**3 - 4*y**3 + y**2 + 242*y - 244*y - y**4 + 5 to the form r*y**4 + d*y**2 + g*y**3 + q*y + m and give g. -1 Rearrange (-36 - 30 + 69 - 233*b)*(-b + b - b) to p + x*b + j*b**2 and give x. -3 Express (0*l - 3*l - 4*l - 4*l)*(6*l - 12*l - 9*l + 1 + l - 1 + (1 - 3 + 0)*(-2 - 2*l + 2)) in the form f + g*l**2 + i*l and give g. 110 Express -2*o - 13*o + 10*o - 29*o**2 in the form b + z*o + u*o**2 and give b. 0 Express -93*g**2 - 26*g**2 - 268*g + 270*g in the form i*g**2 + n*g + l and give i. -119 Rearrange (-16*y + 16*y + 24*y)*(4*y**3 - 8 + 8) to the form o*y**3 + z + s*y**4 + q*y + h*y**2 and give z. 0 Rearrange 58 + 60 - 116 - 155*d + 452*d to the form f + z*d and give f. 2 Rearrange -10 + b + 4 - 4*b + 4 to the form v*b + q and give q. -2 Express 252 - 7*o - 249 + 25*o in the form z + s*o and give z. 3 Express (-2 + 0 - 1)*(1 - 1 - 4*i**2) + 0*i**2 - 4*i**2 + 3*i**2 + (-22*i - 10*i - 21*i)*(-i - 3*i + 3*i) in the form m*i**2 + z + r*i and give m. 64 Rearrange (4 - 9 - 9)*(1731 - 1733 - 33*m - m)*(-2*m**2 + 3*m**2 - 3*m**2) to y*m**3 + v*m + u*m**2 + a and give u. -56 Express 4*n**2 - 2*n**2 -
{ "pile_set_name": "DM Mathematics" }
at is the second derivative of -66350*p**4 - 217*p + 66324*p**4 + 273*p + 401*p + 6*p**2 wrt p? -312*p**2 + 12 Let x(g) be the second derivative of -24*g**8/7 + 47*g**4/6 - 88*g. Find the third derivative of x(v) wrt v. -23040*v**3 Let n(d) be the first derivative of 13*d**6 - 95*d**3 + 2*d + 415. What is the third derivative of n(j) wrt j? 4680*j**2 Let u(h) = 255*h - 994. Let g(v) = -170*v + 662. Let n(p) = -7*g(p) - 5*u(p). Differentiate n(r) wrt r. -85 Let s(w) be the third derivative of 49*w**5/30 - 17*w**4/6 - 71*w**2 + w. Find the second derivative of s(g) wrt g. 196 What is the first derivative of -24*d - 4 - 55 - 7 + 15 wrt d? -24 Let a be -3*((-7)/(-3))/(-7). Let n(p) = 5*p**2 + 3*p - 3. Let w be n(a). What is the second derivative of -8*t + 12*t**w + 20*t - 10*t wrt t? 240*t**3 Suppose -s = 3 - 5. Suppose 0 = s*f - 1 + 5, 12 = 4*i - 4*f. What is the first derivative of -2*r**4 - 2 - 2*r**4 + i wrt r? -16*r**3 Differentiate -85*x**2 - 2*x + 336 - 139*x**2 + 90*x**2 + 212 - 211*x**2 with respect to x. -690*x - 2 Let a(o) be the third derivative of o**7/105 + o**5/60 + 2*o**3 - 8*o**2. Let h(z) be the first derivative of a(z). What is the second derivative of h(w) wrt w? 48*w Find the second derivative of 20*b**2 - 13*b + 22*b + 27*b**2 - 9 - 6*b wrt b. 94 Let w(l) be the second derivative of l**8/336 - l**5/8 + l**4/6 - 19*l. Let t(r) be the third derivative of w(r). Differentiate t(j) wrt j. 60*j**2 Suppose -2*o + 2*p + 0*p = -12, 3*p + 9 = 0. What is the third derivative of -v**4 + 267*v**3 + 29*v**2 - 267*v**o wrt v? -24*v Let u = 229 - 229. Let d(o) be the first derivative of 1/3*o**6 + u*o**5 + 0*o**4 + 0*o**2 - 1/3*o**3 + 4 + 0*o. What is the third derivative of d(l) wrt l? 120*l**2 Let q(a) be the first derivative of -54*a**5/5 - 126*a - 65. Differentiate q(w) wrt w. -216*w**3 Let v = 18 + -14. Find the second derivative of 10*k**2 + v*k**2 + 2*k - k wrt k. 28 Let o(c) = -c + 6. Let t be o(3). Suppose 3*v + 3*z = -0*z + 9, 5*z - 6 = -2*v. Find the third derivative of t*x**5 - v*x**5 + 3*x**2 - 2*x**6 - 3*x**6 wrt x. -600*x**3 Let z(o) be the first derivative of 29*o**6/6 - o**5/5 + o**3 + 3*o + 65. What is the third derivative of z(d) wrt d? 1740*d**2 - 24*d Let p = -7 + 13. Suppose 0 = 3*y + p, 0*q + 5*y = -q - 8. Differentiate -4*v - 4 + 9*v + q*v**3 - 5*v wrt v. 6*v**2 Let s(b) = -54*b**5 - 3*b**4 + 3*b**3 + 13*b**2 - 3*b - 3. Let p(v) = v**4 - v**3 + v + 1. Let l(d) = 3*p(d) + s(d). Find the third derivative of l(x) wrt x. -3240*x**2 Let k(o) = 17*o**4 + 12*o**3 - 22*o - 35. Let h(t) = -8*t**4 - 6*t**3 + 11*t + 17. Let p(u) = 11*h(u) + 6*k(u). What is the second derivative of p(s) wrt s? 168*s**2 + 36*s Suppose 90 = 19*q - 14*q. What is the second derivative of 6 - 19*f**2 - 2*f - 3 - q - 4*f**2 wrt f? -46 Find the second derivative of 2*h**2 - 5*h**2 + h**2 - h - 10*h - 172*h**3 wrt h. -1032*h - 4 Let i be (21 + 3)/2*2/4. Find the third derivative of -108*m - 41*m**2 + 2*m**i + 57*m + 51*m wrt m. 240*m**3 Let n(h) = 8*h**2 - h + 2. Let p be n(-2). Let u be (-1)/4 - p/(-16). What is the second derivative of 2 + u - j**2 - 4*j - 4 wrt j? -2 Let v(o) = 108*o**2 + 6. Let a(j) = -107*j**2 - j - 6. Let u(f) = -7*a(f) - 6*v(f). What is the second derivative of u(x) wrt x? 202 Let j(p) = -185*p**4 - 6*p**3 + 6*p**2 + 12*p + 12. Let n(y) = y**3 - y**2 - y - 1. Let h(c) = -j(c) - 6*n(c). What is the second derivative of h(r) wrt r? 2220*r**2 Suppose -u + 32 = -0*u - 2*x, -3*u = -x - 71. Suppose 5*z - u = -3*c, 3*c = 2*z + c + 4. Find the second derivative of -83 + 83 + 3*y + 6*y**z wrt y. 12 Let i(p) = 2*p**2 - p. Let n(x) = 243*x**4 - 10*x**2 + 6*x + 798. Let s(b) = -6*i(b) - n(b). Differentiate s(z) wrt z. -972*z**3 - 4*z Let d(b) be the second derivative of 281*b**6/15 + 521*b**3/6 - 7*b + 50. Find the second derivative of d(l) wrt l. 6744*l**2 Let a(k) be the first derivative of 85*k**4/4 - 21*k**2/2 + 2*k + 114. What is the second derivative of a(g) wrt g? 510*g What is the first derivative of 3302 + 576*u - 3276 - 95*u wrt u? 481 Suppose -3*w - 17 = -44. What is the derivative of 1 - w - 4 + 8 + 3*b wrt b? 3 Let i(d) be the first derivative of -13*d**6/30 + 5*d**3/3 - 5*d + 12. Let r(n) be the first derivative of i(n). What is the second derivative of r(m) wrt m? -156*m**2 Let j(w) = -2*w - 10. Let k(u) = u - 25. Let q be k(17). Let f be j(q). What is the third derivative of 0*g**3 + f*g**2 - 9*g**2 - 5*g**3 wrt g? -30 Let p be 63/13 + 4*(-5)/(-130). Let i be 2/(-6) - 10/(-3). Differentiate l**3 - 4*l**i + p*l**3 + 1 wrt l. 6*l**2 Let q(d) = 9*d - 29*d**2 - 38*d - 36*d**2 - 20*d. Let z(n) = -33*n**2 - 24*n. Let s(w) = -2*q(w) + 5*z(w). Find the second derivative of s(y) wrt y. -70 Let p(c) = -c**5 - c**2 + c + 1. Let v(f) = 11*f**5 - 54*f**3 + 5*f**2 + 809*f - 5. Let y(m) = 5*p(m) + v(m). Find the second derivative of y(q) wrt q. 120*q**3 - 324*q Let p(r) be the third derivative of -22*r**6/5 + 401*r**4/12 + 83*r**2 - 1. Find the second derivative of p(m) wrt m. -3168*m What is the first derivative of -37 - 25 + 26*z + 11*z + 33*z wrt z? 70 Let o(g) = 3*g + 5*g + g**2 + 1 - 4*g. Let b be o(-5). Find the first derivative of b*d - 14*d + 8*d + 4 + 3*d**2 wrt d. 6*d Find the second derivative of -j + 2*j**2 - 2*j**2 - 194*j**4 + 28*j**4 - 1 wrt j. -1992*j**2 Let t(w) = 24*w + 10. Let b be 1/(((-2)/4)/((-8)/16)). Let k(o) = o. Let s(q) = b*t(q) - 5*k(q). What is the derivative of s(d) wrt d? 19 Find the second derivative of 39*z + 20*z + 31*z - 71*z**2 wrt z. -142 Let d(r) = r - 1. Let i(l) = -15*l - 5*l - 54 + 79. Let h(b) = 6*d(b) + i(b). What is the derivative of h(n) wrt n? -14 Let u(f) = -94*f**3 + 132*f**2 - 3*f. Let c(r) = 92*r**3 - 133*r**2 + 2*r. Let j(p) = 3*c(p) + 2*u(p). What is the third derivative of j(l) wrt l? 528 Let v(d) be the third derivative of 14*d**2 + 0*d**5 - 1/6*d**4 + 1/40*d**6 + 0*d**3 + 0*d + 0. Find the second derivative of v(m) wrt m. 18*m Let g = 505 + -505. Let s(f) be the second derivative of 7*f - 4*f**2 + g - 1/4*f**5 + 0*f**3 + 0*f**4. What is the first derivative of s(b) wrt b? -15*b**2 Suppose 9*o = 4*o - 4*y + 66, -3*y = -3*o + 18. What is the derivative of -5 + r + o*r - r + r wrt r? 11 Let t(s) = -464*s**2 - s - 89. Let i(j) = -463*j**2 - 2*j - 91. Let n(a) = 3*i(a) - 4*t(a). What is the second derivative of n(d) wrt d? 934 What is the third derivative of 81*u**2 + 2*u - 4*u - 5*u**4 - 145*u**3 - 3*u**3 + 3*u**4 + 0*u wrt u? -48*u - 888 Let j(p) be the second derivative of 0*p**6 - 8*p + 0*p**5 + 0*p**2 + 0*p**3 - 1/4*p**4 + 5/21*p**7 + 0. What is the third derivative of j(v) wrt v? 600*v**2 Let o(f) be the first derivative of -f**6/8 + 4*f**5/15 - 4*f**2 - 26. Let p(i) be the second derivative of o(i). What is the third derivative of p(z) wrt z? -90 Let u(f) be the first derivative of 23*f**4 - 9*f**2/2 + 3*f + 60. What is the second derivative of u(j) wrt j? 552*j Let l(b) be the first derivative of 0*b + 13 + 0*b**4 + 4*b**3 - 1/3*b**6 + 0*b**5 + 0*b**2. What is the third derivative of l(c) wrt c? -120*c**2 Let p(u) be the second derivative of 103*u**3/6 - 93*u**2 - 166*u. Find the first derivative of p(s) wrt s. 103 Let r(g) be the third derivative of -29*g**5/10 + 115*g**3/3 + 19*g**2 - 2. Differentiate r(y) with respect to y. -348*y Suppose -f - 3*n = -8, -2*f - 5 + 1 = -4*n. Differentiate 6*v + 12 - f - 2*v - 5*v wrt v. -1 What is the second derivative of 103*x - 2504*x**4 + 2488*x**4 + 83*x - 2*x**2 wrt x? -192*x**2 - 4 Suppose 3 = -270*m + 271*m. Let n(h) be the third derivative of -7/24*h**4 - 1/2*h**3 + 0*h + 0 - m*h**2. Differentiate n(t) wrt t. -7 Let h be (1 - (-1)/(-2))/(2/8). Find the third derivative of -21*u**2 + 0*u**5 - 4*u**5 + 51*u**2 - 15*u**h wrt u. -240*u**2 Let i(f) be the first derivative of -f**8/56 + f**4/3 + f + 3. Let d(h) be the first derivative of i(h). What is the third derivative of d(z) wrt z? -120*z**3 Let x(y) = 267*y**4 + 5*y**3 + 307*y - 1. Let h(m) = -401*m**4 - 8*m**3 - 460*m + 1. Let j(q) = 5*h(q) + 8*x(q). What is the second derivative of j(g) wrt g? 1572*g**2 Let j(v) = 2*v + 12. Let w be j(-5). Find the third derivative of 0*b**5 + w*b**5 - 9*b**5 + 10*b**2 wrt b. -420*b**2 Let c(g) be the second derivative of g**7/42 + 11*g**4/2 + 9*g**3/
{ "pile_set_name": "DM Mathematics" }
a - 3150 for u. -111 Solve 13305*y - 13308*y - 352 = 16*i, 5*y - 88 = 4*i for y. 0 Solve 0 = 5*a + 6*u + 28, -2*u - 12 = -740*a + 741*a for a. 4 Solve 2*w = 5*p - 47, -98*p + 2*w + 92 = -78*p for p. 3 Solve 26*o + 5*x + 180 = 17*o, x - 60 = 3*o for o. -20 Solve 9*v - 2*f = -257, -44*f + 49 = 4*v - 47*f + 159 for v. -29 Solve 4*w - 180*g + 188*g = 32, g = 4*w - 14 for w. 4 Solve -845665 = 4*v + 4*h - 845705, 5*v - 20 = h for v. 5 Solve 14 = -x + 3*m, 13*x - m = -99 - 91 - 30 for x. -17 Solve 3*d + 2579*w - 16 = 2580*w, 0*d = -3*d - 3*w for d. 4 Solve -4*y + 0*v - 12 = -5*v, 21*y + 323*v + 328*v - 647*v = 58 for y. 2 Solve -4*a + 0*a = -15*m - 99, m = -a - 37 - 27 + 65 for m. -5 Solve 3*y + 4*t - 69 = -y - 25, 88*y + 3*t = 33 for y. 0 Solve 4*i - 3*y - 10 = 0, 4131*i - 2064*i = 2069*i - 5*y - 26 for i. -2 Solve -544 = 116*d - 3*p, 21307*p + 48 = 21303*p for d. -5 Solve -9*o - 10*s - 40 = 0, 359*o + 2*s + 8 = 355*o for o. 0 Solve 6*g - 5*g - 32 + 161 = 5*n, 31*g + 48 = 27*g + 2*n for g. 1 Solve 23*i + 12 + 23 = -l - 4*l + 45*i + 23*i, 3*l - 41 = -4*i for l. 11 Solve 5*a = a - 360*o + 355*o - 10, 137*o + 155 = 2*a - 119 for a. 0 Solve 0 = -2*i - 4, 3*h - 46*i - 33 = -52*i - 240 for h. -65 Solve -85*t = -90*t - 4*h - 37 + 69, h = -4*t + 4*h + 7 for t. 4 Solve 3*d + 0*d - 58 = -2*f - 13 + 42 - 11, 0 = -d - 18*f + 112 for d. 22 Solve -24 = v + 6*h + 43, -18*v - 77 = -16*v - 7*h for v. -49 Solve 9 = -4*b + q + 1, 3*q - 1 + 13 = 9*b + 27 for b. -3 Solve -2*u = 2*l - 20, 0*u - 15 = u - 5*l + 11 for u. 4 Solve 66*d - 11*o = 84*d - 0*o + 2*o + 68, 39 = -2*d - 4*o + 11 for d. 2 Solve 18*c = 4*q + 288, -3*q - 1277*c + 1275*c + 32 = 0 for q. 0 Solve 0 = -2*w + 5*n + 21, 0 = -18*n + 25*n - 5*n + 6 for w. 3 Solve -4*g + 571*x = 289*x + 287*x + 39, 4*g + 21 = x for g. -6 Solve 0 = 201*p - t - 193, 2*p + 42*t = p + 41*t + 9 for p. 1 Solve -139328*a + 7*n - 102 = -139323*a, 0 = -3*a - 56*n + 601 for a. -5 Solve 5499*m - 5490*m + 19 = -5*g, 6*m - 4 = 5*g for g. -2 Solve 8*r = 132*m - 128*m - 368, -7*m = -2*r - 68 for r. -48 Solve 0 = -2*o + q - 18, 37496244*q - 37496234*q - 300 = -4*o for o. 5 Solve -6*b + 13*p = -155, 0 = -p - 4175 + 4170 for b. 15 Solve -o + 200 = -0*o - 134*a + 99*a, 17 = o - a - 13 for o. 25 Solve 54 = m - 5*b, 3*m - 7*m + 15193 = -7*b + 15107 for m. 4 Solve 19 = -k, -406*r - 15*k = -403*r + 270 for r. 5 Solve 4*u - 48 = 3*w, -2*w + 5 = 154*u - 1373 for u. 9 Solve -3*n = -25*q - 129, -2*q + 3*n - 42 = 5 + 13 for q. -3 Solve -5*h = -4*p - 37, -4*h = p - h + 81 - 93 for p. -3 Solve -3*t + 36 = x - 7*x, x + t = -3 for x. -5 Solve 4*h = -43*t + 315, 4*h - 17*h + 5*t - 125 = -17*h for h. 25 Solve 15*b = 12*b - 16*b - 20*b - q + 1716, 0*b = -0*b - q for b. 44 Solve 121*b - 4*d + 820 = 16*b + d, 2*b = 4*d for b. -8 Solve 6*y = 4*r + 38, -1949*y + 21 + 37 = -4*r - 3889*y + 1942*y for r. -17 Solve 14*t - 4*n = 54, -t - 41*n - 3 = -39*n for t. 3 Solve -o - 4*m - 44 = 3*o, -21*o + 1065222*m = 1065217*m + 122 + 5 for o. -7 Solve -q + 3167*u - 51 = 3171*u, 4*u = -2*q - 82 for q. -31 Solve 15*g + 6 = 18*g, -2*a - 5*g - 3*g - 34 = 3*a for a. -10 Solve 43 = f - 5*w, -4*f - 658*w + 44 = -662*w for f. 3 Solve 2*z + 1203*o = 1215*o + 78, 5*z - 72 = -11*o for z. 21 Solve -1872*b + 3*x + 18 + 4 = -1877*b + 5*x, -4*x = 16 for b. -6 Solve -3*q + 11 = -4*t + 5*t, q - 4*t - 1545 = -3089 + 1552 for q. 4 Solve -u + c = 4*u + 2*c - 422, u - 12*c + 485 = 545 for u. 84 Solve -4*n - 4 = -4*l, 5*l + 46*n + 27 = 43*n for l. -3 Solve -3*x + g = -81 + 24, 134*x + 5*g - 63 = 129*x - 308 for x. 2 Solve -20771*p + 7 = 3*m - 20772*p, -7*p = -2*m - 8 for m. 3 Solve -5*j - h - 15 = 0, j + 3*h + 1568 - 1529 = h for j. 1 Solve f - 7 = 105*j - 108*j - 8, -j = -4*f - 4 for j. 0 Solve 0 = -v - 4*u - 55, 24 = -4*v - 15*u + 13*u for v. 1 Solve 60*u - 59*u - 5*t - 52 = 0, u + 5*t - 2*t - 11 + 49 = -t for u. 2 Solve 24 = 2*m + 5*j - 16 + 45 - 20, j - 25 = 4*m for m. -5 Solve -2*k = 3*x + 155, 443*x - 444*x + 169*k + 627 = 0 for x. -49 Solve -2*i - 2*u + 0*u = -32, -880*i + 876*i = 3*u - 66 for i. 18 Solve 1225*s - 343 = -9*k + 1223*s - 110, 34 = 2*k - 4*s for k. 25 Solve -3*h = 6834*j - 6831*j + 90, 0 = -4*j - h - 108 for j. -26 Solve -3*r - 75 = -5*l, -672 = 453*r - 591*r + l for r. 5 Solve -5*i - 10 = -5*q, 123*i + 651 - 54 = 6*q for q. -3 Solve 91*u - 85*u + 14 = 7*b - 55, 4*b + 5*u + 6*u = -76 for b. 3 Solve 3*r = -a - 31, 180*a + 18*r + 138 = -202*a + 379*a for a. -16 Solve 41*n - 4 = 39*n - o + 43 - 7, 4*n + 3*o = 130 for n. -5 Solve -27*a - 20*m = -25*a - 390, 0 = a - 0*a - 3*m + 52 for a. 5 Solve -72 = 3*l + 4*h, -2603*l + 451 = -2626*l + 3*h for l. -20 Solve -4*s + 3 = -9*a, a + 19 = 38*s - 36*s for a. 5 Solve 46 = 2*i + 26*c - 98, 28*c - 63*c + 43 = 4*i - 32*c for i. 7 Solve 4*s + 145*p = 280*p - 139*p - 8, 4*s + 12 = -5*p for s. 2 Solve -273 = 5*v - 37*u, -891*v + 117 = -896*v - 2*u for v. -25 Solve -6*o + 2*o - 24 - 30 - 20 = -o - 4*y, 0 = 25*y - 125 for o. -18 Solve -4*i + 19 = 3*f - 8*i, 2*i + 5 = 4*f - 7 for f. 1 Solve -3*p + 35*a + 39*a - 78*a - 27 = 0, a + 1 = 5*p for p. -1 Solve -2*j - 225*w - 18 = -227*w, -11*j - 3*w - 29 = 0 for j. -4 Solve -4*g = 3*q - 12, -83*g - 4*q = 25889 - 26138 for g. 3 Solve -701*c + 706*c = -44*k + 83, -4*c + 2 = 3*k for c. -1 Solve -y + 4*o - 5 = -0, 44*o - 30*o = 17*o - 3 for y. -1 Solve 1840 = -2*a + 5*h + 1804, 0 = -4*a + 4*h - h - 44 for a. -8 Solve 2*k - u = 696 - 703, -2*k = 5*u - 23 for k. -1 Solve 3*z + 23 = 5*x, 7*z + 39 = -2*x - 0*z - 42 for x. -2 Solve 105*g - 101*g - 34 = 2*a, -2*a - 74 = -9*g for g. 8 Solve -7949*p + 19 = -7947*p - u + u - u, -133 = -15*p - 2*u for p. 9 Solve -2*f - 2*x - 28 = 0, -20*f - 267 = -x - 281 for f. 0 Solve 0 = 2*j - z - 10, -3*j - 2*z - 123 = -124 for j. 3 Solve 5*y - 69 + 17 = -2*s, -5*y = -s + s - 5*s + 200 for s. 36 Solve -86*d = -4*y + 3*y - 83*d - 22, -500 = 100*y + 5*d + 2005 for y. -25 Solve -17 = 2*i + 5*t - 3, 53*i + 25*t + 91 = 50*i for i. 3 Solve 2*o = 10, -2*z + 5*z + 53*o = -2*z + 54*o - 15 for z. -2 Solve 0 = 133*q + 4*p + 282, -86*p - 2 - 17 = -q - 82*p - 1 - 4 for q. -2 Solve -98 = 3*f - 2*c - 81, 3*c - 45 = -2*f for f. 3 Solve -3695*p = -3690*p + 5*m + 5, -5*p + 2*m = -2 for p. 0 Solve -34*o - 54*o - 5880 = -4*q, 4*o - 2*q = -260 for o. -67 Solve 2*f = -5*k + 462 - 248 - 240, -f + 4*k = -13 for f. -3 Solve f + 208*i - 204*i = -17, 0 = 2*f - i + 61 for f. -29 Solve o + h = 4, -11*h - 23*h = -3*o - 296 + 197 for o. 1 Solve 5*b = 4*t - 39, 39 - 44 - 169 = -t + 56*b for t. 6 Solve 4*r - 20 = -2*q, -1172 = 55*q + 2*r - 1074 for q. -2 Solve 12*f - 76 = 14*v, -4*v + 1839*f = 1841*f - 38 for v. 4 Solve 0 + 18 = 5*d + 4*f, -8*f = -1343*d + 1346*d - 22 for d. 2 Solve 0 = 3*b - 4*c - 0 + 71, -2*b - 5*c = -42*b - 1140 for b. -29 Solve -16*y = 4*o + 340, 6*o - 3*y - 1613 + 1529 = 0 for o. 3 Solve k + 2*j = -2*k + 35, 0 = -44*k + 46*k + 2*j - 30 for k. 5 Solve 3*p = -42, -6316 + 6970 = z - 47*p for z. -4 Solve 201*y + 2*x - 3007 = 0, 3*y - 879*x = -878*x + 49 for y. 15 Solve 4*g + 1 + 5 = 2*g + 2*x, -16*g + 23*g + 2*x = 12*g for g. 2 Solve -3*a - 30 = -3*f, -14*a + 18*a - 33*f + 268 = -149 for a. 3 Solve 28 = -0*p - 5*p + 8*j - 3*j - 17, 0 = -4*j + 40 for p. 1 Solve -6720*b + 6719*b = 4*m + 38, -3*b + 456 = -45*m for b. 2 Solve 34*v - 30*v + 37 - 157 = 2*v - 2*d, -7*d = -v + 28 for v. 56 Solve -210 = 2*s + 4*i, -27*i + 245 = -215*s + 211*s for s. -95 Solve 5*j = -4*w - 104, 54*w + 12*j = 5*j + 2*j - 154 for w. -1 Solve -53 = 5*y - 2*t - 68, 9*t = y - 89 for y. -1 Solve 2*i = -2*w - i - 66 + 38, w - 3*i = -32 for w. -20 Solve -8*w - 3 = -6*s - 31, 4*s + 247 = w + 250 for s. 2 Solve -53 = 2*s + 3*b, -5*s = -710*b + 717*b + 125 for s. -4 Solve 2*f + 3*c + 133 = -0*c, 2*c + 211 = 2*f - 3*c for f. -2 Solve 2*k - 18*v + 40 = 0, -2*v + 167 = -27*k + 109 for k. -2 Solve -9768489*o + 3 = -9768490*o - 5*t, o + 4*t + 3 = 0 for o. -3 Solve -z - 4635*m + 4631*m + 97 = 0, 2*z + 5*m - 125 = 0 for z. 5 Solve 5*n + 12 = -2*r, 6*r + 2*n + 43756 - 43748 = 2*r for r. -1 Solve -41*j + 219*h = -40*j + 218*h + 1, 0 = -2*j - 2*h + 10 for j. 2 Solve 0 = 5*j - 2*i + 4, 0 = -7*j - j + 6*j + 12*i - 24 for j. 0 Solve 2*m + 5*z = -9, -5289*z + 6 = -m - 5293*z for m. -2 Solve n + 0*n + 24 = 3*s, 5*n + 24 - 48 = -3*s for s. 8 Sol
{ "pile_set_name": "DM Mathematics" }
Let m be 4/28 + 316/p. Let d = -12 - m. List the prime factors of d. 3, 11 Let r(o) = o**3 + 3*o**2 + 6*o - 8. Let t(p) = -p**3 + 4*p**2 + p. Let d be t(4). What are the prime factors of r(d)? 2 Let d(o) = -o + 9. Let h be d(6). Suppose -10 = -h*k + k. Suppose k*f + 20 = -r, -f + 0*f + 20 = 5*r. What are the prime factors of r? 5 Suppose 3*d - 8*d - 486 = -3*t, 5*d = 2*t - 324. List the prime factors of t. 2, 3 Suppose 26 = 2*o - 5*u, 3*o + 2*u = -u + 18. Suppose 6*j - o = 2*j. Suppose -3*t = -0*t + j*h - 30, -5*t - 3*h + 49 = 0. What are the prime factors of t? 2 Suppose 4*r = -2*x + 44, 5*r + 4*x + 14 = 63. Let d be 10/(-6)*(-12)/(-2). Let t = r + d. What are the prime factors of t? 3 Let j = 37 - 21. Let d = j + 107. Suppose -d = -6*z + 303. List the prime factors of z. 71 Let y(r) = 55*r + 76. Let t(o) = 37*o + 51. Let b(m) = 7*t(m) - 5*y(m). What are the prime factors of b(-12)? 13 Let m(n) = 6*n - 31. Let z be m(6). List the prime factors of (580/z)/1 + 3. 7, 17 Suppose -2*d = -4*d. Suppose d*o = 5*o - 800. Suppose j - o = -4*j. List the prime factors of j. 2 Let a = 174 + -75. Let v = 270 - a. List the prime factors of v. 3, 19 Suppose -3*q + 70 = l, 3*l + 6*q - 180 = 3*q. Suppose -249 = -5*f + 4*y, 4*f - 137 - l = -4*y. Let z = f - 21. What are the prime factors of z? 2, 7 Let i(g) be the second derivative of 3*g**3/2 + 5*g**2/2 - g. Let n(q) = -3*q + 1. Let t be n(-1). List the prime factors of i(t). 41 Suppose -7*w + 1097 = -212. What are the prime factors of w? 11, 17 Let j = -41 - -22. Let v = j + 62. What are the prime factors of v? 43 Let a(n) = 3*n**2 - 25*n + 40. List the prime factors of a(15). 2, 5, 17 Let y be 42/(-56) - 17/4. Let t(j) = 3*j**2 + 3*j + 7. Let b(c) = 7*c**2 + 5*c + 14. Let g(s) = -2*b(s) + 5*t(s). List the prime factors of g(y). 7 Let u(a) = 185*a**2 - 3*a. What are the prime factors of u(-2)? 2, 373 Let g = 412 - -22. What are the prime factors of g? 2, 7, 31 Let h(l) be the first derivative of 2*l**3 + 9*l**2/2 - 27*l + 49. List the prime factors of h(5). 2, 3, 7 Let d(h) = -7*h**3 + 2*h**2 + 10*h - 6. Let t = -8 + 10. Let p(y) = -3*y**3 + y**2 + 5*y - 3. Let g(v) = t*d(v) - 5*p(v). What are the prime factors of g(3)? 2, 3 List the prime factors of (-317760)/(-128) + (-6)/4. 3, 827 Suppose -4*d + 139 = -333. Suppose 662 + d = 10*g. List the prime factors of g. 2, 3, 13 Suppose -2*b = t + 63, 2*b + 5*t - 3*t = -64. Let i = -9 - b. Let s = 85 - i. What are the prime factors of s? 3, 7 Let k(s) = -s + 1. Let b(z) = -z**2 + 6*z + 27. Let a be b(-5). What are the prime factors of k(a)? 29 Suppose 0*g - 6 = 2*g, -2*t = 5*g + 21. List the prime factors of (-1 - t)*(-1 - -20). 2, 19 Suppose -5*p = 4*g - 873, 221 = 3*g - 2*g + 4*p. List the prime factors of g. 7, 31 Let u(q) be the third derivative of q**6/120 - q**5/15 - q**4/8 + 11*q**3/6 - 21*q**2. List the prime factors of u(5). 3, 7 Suppose 11*c + 4 = 4. Suppose -5*m - x - 2*x + 722 = c, 3 = -3*x. List the prime factors of m. 5, 29 Suppose -y + 2*m - 15 = 0, -y = -5*y + 3*m - 45. Let p = 38 + y. List the prime factors of p. 29 Suppose x - 249 = 129. What are the prime factors of x? 2, 3, 7 Let g = -41 + 259. What are the prime factors of g? 2, 109 Let q(s) = -s**2 + 17*s + 62. List the prime factors of q(19). 2, 3 Let q = -6 - -11. Suppose -163 = -3*u + i - 3*i, 5*i = -q. What are the prime factors of u? 5, 11 Suppose -2510 - 2330 = -u - 4*q, 2*q = 4*u - 19360. List the prime factors of u. 2, 5, 11 Let g = 18 + -15. Let c be 2 + 4 + -3 - g. Let q(y) = y**3 + y**2 + 46. List the prime factors of q(c). 2, 23 Suppose -5*r + 9*r = -252. Let b = r + 98. What are the prime factors of b? 5, 7 Suppose -3*u + 0*u - 30 = -5*m, -5*u = -5*m + 30. Suppose 0 = 4*y - 14 - m. Suppose 0 = -7*q + y*q + 122. List the prime factors of q. 61 What are the prime factors of (0 + -214)/((-1)/7)? 2, 7, 107 Let z(h) = h**3 - 4*h**2 - 3. Let i be z(2). Let d = 15 + i. Let g(b) = b**3 - b**2 - 6*b + 1. List the prime factors of g(d). 5 Suppose 0 = r + 4*y - 1605, 5*y + 1229 = r - 331. List the prime factors of r. 5, 317 Let i(g) = 68*g**2 + g. Let d be i(-1). Let m = -42 + d. Suppose -m = -3*t + 47. What are the prime factors of t? 2, 3 Suppose 5*c = 5*i - 350, 127 + 80 = 3*i - 2*c. Let q = 1177 - 1179. Let x = i + q. What are the prime factors of x? 5, 13 Suppose -2*x + 1 + 7 = 0. Let u be (-3)/x*(-8)/2. Suppose -u*c = 2*c - 35. What are the prime factors of c? 7 Let y = 36 - -104. Let a = y - 89. List the prime factors of a. 3, 17 Let p(j) = 69*j**2 + 4*j - 186. List the prime factors of p(8). 2, 2131 Let f = 507 + 244. Suppose -f = -5*u + w, 2*u - 4*w = 29 + 257. What are the prime factors of u? 151 Suppose 3*k + 3*h + 16 = 2*k, 5 = -5*h. Let r = -82 + 102. Let z = k + r. List the prime factors of z. 7 Suppose 38 = -v + 324. List the prime factors of v. 2, 11, 13 Suppose 0 = -5*x - 0*x - 15, 2*v - 3*x - 203 = 0. Suppose 2*m = -3*d - 0*d + v, -4*m + 188 = 4*d. List the prime factors of m. 2, 11 Let l(m) = -259*m - 44. List the prime factors of l(-5). 3, 139 Let c = 783 - 311. What are the prime factors of c? 2, 59 Let z(h) be the third derivative of h**7/360 - h**6/720 + h**5/120 + h**4/3 + 4*h**2. Let p(w) be the second derivative of z(w). List the prime factors of p(3). 61 Suppose 2*i = 5*i - 9. Let n(t) be the first derivative of t**4/4 + 2*t**3/3 - t**2 + 4*t + 197. List the prime factors of n(i). 43 Let j be (-2)/4 - 42/12. Let z(k) = -71*k - 12. List the prime factors of z(j). 2, 17 Let g = -745 + 895. List the prime factors of g. 2, 3, 5 Let h(s) be the third derivative of s**5/30 + 3*s**4/8 - 5*s**3/3 - 13*s**2. What are the prime factors of h(-7)? 5 Suppose 2*b = -0*b + 6. Suppose -7*c = -b*c + 124. Let f = -16 - c. What are the prime factors of f? 3, 5 Let b be 183 + (0 - 1) + (1 - 4). Suppose -3*d = -2*o - b, 2*o - 348 = -4*d - 114. List the prime factors of d. 59 Let i(n) = -3*n**2 + 131*n + 101. What are the prime factors of i(30)? 11 List the prime factors of ((-2481)/(-6))/(20/40). 827 Let q = 5 + 0. Let s = q + -3. Suppose 0 = -b + 2, -16 = -s*v + v - 2*b. List the prime factors of v. 2, 3 Let y(j) = 7*j**2 - 2*j + 1. Let c be y(1). Suppose 0 = c*b - 54 - 48. List the prime factors of b. 17 Let g be 5/((-15)/9) + (-2 - -35). Let w(o) = -o**2 + 6*o - 5. Let p be w(4). Suppose -4*l + p*l = -g. What are the prime factors of l? 2, 3, 5 Let c(r) = 2680*r**2 - 21*r - 20. List the prime factors of c(-1). 7, 383 Let b = -156 + 273. Let d = b - 65. Suppose d = j + 8. List the prime factors of j. 2, 11 Let p = 30 + -30. Suppose p = -2*m + 23 + 1. What are the prime factors of m? 2, 3 Suppose -30*w - 10174 = -4*z - 25*w, -8 = 4*w. List the prime factors of z. 3, 7, 11 Let s(o) = -32*o + 9. List the prime factors of s(-9). 3, 11 Suppose 8*o - 3*o - 100 = 0. Suppose -28 + 124 = 4*z. What are the prime factors of (o/8 - 2)*z? 2, 3 Let r(j) = -j - 5. Suppose i + 5 = 0, -i + 45 = -5*o - 3*i. Let q be r(o). Suppose -86 = -8*h + q. What are the prime factors of h? 11 Let v(k) = -k**3 - 9*k**2 + 4*k - 7. Let w be v(-10). Let y = -23 + w. What are the prime factors of y? 2, 3, 5 Suppose 2*q = -l - 2, 2*l + 3*q = 8*q - 4. List the prime factors of (-2546)/(-34) - l/17. 3, 5 Let x be (4 - 52/10)/(3/(-5)). Suppose -3*i - 569 = -x*p, -2*p - 3*i = -8*i - 563. List the prime factors of p. 17 Suppose -r = -4*r + 6. Suppose -6*l + 4*x = -2*l - 692, -r*x + 185 = l. Suppose -4*d + 2*w = w - l, 4*d - 4*w = 192. List the prime factors of d. 43 Suppose 0 = -3*i - 4*z + 3348 - 582, 5*i - 4602 = -4*z. List the prime factors of i. 2, 3, 17 Let f = 259 + -125. List the prime factors of f. 2, 67 Let g be ((-3)/2)/(2*5/(-20)). Suppose -2*z + 270 = -k, -1 = -2*k + g. What are the prime factors of z? 2, 17 Let o = 48 + -3. Let m be o/3 - (1 - 3). Suppose -6 + m = n. List the prime factors of n. 11 Let p(c) = c**3 - 13*c**2 + 15*c - 12. Let u be p(12). Let n = u - -20. What are the prime factors of n? 2, 11 Suppose -269 = -2*o + 837. Suppose 6*c + 4*p = 3*c + o, 4*c - 749 = -3*p. List the prime factors of c. 191 Suppose -130*d = -118*d - 996. Suppose -2*m + 74 = -4*i, -3*i - 74 = -3*m + m. Let h = d - m. What are the prime factors of h? 2, 23 Let h(f) = f**3 - 32*f**2 + 29*f + 18. List the prime factors of
{ "pile_set_name": "DM Mathematics" }
255*s**2 + 49*s - 303. Give v(1). -31 Let y(z) = 114164*z - 228327. Determine y(2). 1 Let s(p) = 93*p**2 - 66*p + 175. Determine s(3). 814 Let s(m) = 5*m**3 + 15*m**2 - 45*m - 352. What is s(-6)? -622 Let p(q) = 152*q + 41081. Calculate p(-272). -263 Let b(u) = -28*u**2 - 5659*u + 16997. Give b(3). -232 Let n(x) = 5466*x + 1180646. What is n(-216)? -10 Let o(g) = -11*g**3 - 9*g**2 - 7*g - 97. What is o(8)? -6361 Let g(q) = -92269*q - 276782. What is g(-3)? 25 Let t(i) = -3*i**2 - 65*i - 352. Give t(-9). -10 Let l(b) = 444520*b - 136. Give l(0). -136 Let x(z) = 8653*z + 2327651. Calculate x(-269). -6 Let y(b) = 103*b**3 + 62*b**2 - 843*b - 904. What is y(-1)? -102 Let y(j) = -j**3 + 134*j**2 + 245*j + 3470. Determine y(136). -202 Let b(t) = -t**2 + 1050*t + 257424. What is b(-205)? 149 Let y(w) = 175*w - 801. What is y(5)? 74 Let c(n) = n**3 + n**2 - 81770*n - 163536. What is c(-2)? 0 Let z(c) = -2*c**3 + 342*c**2 - 11*c + 539. Calculate z(171). -1342 Let k(m) = 46*m - 117. Calculate k(19). 757 Let a(x) = 7*x**2 - 314*x - 1213. Calculate a(60). 5147 Let f(l) = -359*l**2 - 2604*l - 629. Give f(-7). 8 Let z(u) = 2*u**2 + 500*u + 22376. What is z(-51)? 2078 Let t(i) = -341159*i + 2729261. Calculate t(8). -11 Let d(l) = -2923*l + 70118. What is d(24)? -34 Let t(k) = -2*k**2 - 107208*k + 214414. Give t(2). -10 Let l(y) = 8*y**2 + 5764*y - 127621. Give l(-742). 3 Let v(p) = 2*p**3 + 45*p**2 + 8*p + 1905. What is v(-24)? -15 Let k(y) = y**2 - 95*y - 1228724. Calculate k(1157). 10 Let h(q) = 2442*q + 111. What is h(0)? 111 Let d(l) = -7998*l - 22061. Calculate d(-3). 1933 Let v(a) = 68084*a + 2519115. Give v(-37). 7 Let p(k) = 366*k - 20749. Determine p(56). -253 Let i(f) = -327*f + 4902. Give i(15). -3 Let o(b) = 2*b**3 + 62*b**2 + 222*b + 3252. Determine o(-29). 178 Let b(h) = -3*h**2 - 273*h - 1583. Determine b(-6). -53 Let h(g) = 112303*g - 2246065. Calculate h(20). -5 Let n(u) = -u**2 + 245*u + 331324. Give n(711). -2 Let v(m) = m**3 - 15*m**2 - 198*m + 2912. Determine v(16). 0 Let v(p) = -26*p**3 - 1125*p**2 - 339*p - 1645. Calculate v(-43). -11 Let j(r) = 362788*r + 3628008. Calculate j(-10). 128 Let i(f) = -2*f**3 - 17*f**2 - 103*f - 1138. What is i(-9)? -130 Let f(s) = 112*s**2 + 246*s - 1792. Calculate f(7). 5418 Let s(w) = -79*w**3 - 2*w**2 - 3*w. Give s(3). -2160 Let q(l) = 3*l**3 - 56*l**2 - 222*l + 3866. Calculate q(19). 9 Let i(w) = -2*w**2 - 2136*w - 447348. Calculate i(-782). -44 Let z(a) = -2676*a + 82957. Determine z(31). 1 Let p(x) = x**3 - 50*x**2 - 1670*x - 649. Give p(73). 8 Let w(g) = 35579*g + 3451158. Give w(-97). -5 Let l(b) = 7*b**2 + 400*b - 1689. Calculate l(4). 23 Let p(m) = -m**3 - 15*m**2 + 146*m + 35. Calculate p(-22). 211 Let a(q) = -11*q**3 - 59*q**2 - 23*q + 173. Calculate a(5). -2792 Let k(r) = -11*r**3 + 278*r**2 - 336*r + 55. Determine k(24). 55 Let c(n) = 36223*n - 3586086. Give c(99). -9 Let m(f) = 75*f - 302. Calculate m(4). -2 Let c(q) = -3985*q - 147457. Give c(-37). -12 Let k(n) = 13*n**3 - 9089*n**2 + 1390*n + 5571. Give k(699). -21 Let c(y) = 2*y**3 - 11*y**2 + 30940*y - 500412. Give c(16). 4 Let m(u) = -5*u**2 + 79*u - 101. Give m(15). -41 Let w(i) = i**2 - 400*i + 10075. Determine w(27). 4 Let m(w) = 4924*w**2 + 891*w. Calculate m(-1). 4033 Let b(y) = 68*y**2 - 94*y + 14. What is b(2)? 98 Let n(i) = 3*i**3 + 11*i**2 - 1266*i - 519. Give n(19). -25 Let z(n) = 16609*n - 33176. What is z(2)? 42 Let f(j) = -j**2 + 1620*j - 20917. Give f(13). -26 Let u(l) = -25*l**2 - 3*l + 1. Give u(1). -27 Let x(g) = -243*g + 13744. Give x(72). -3752 Let d(s) = 3*s**2 + 507*s - 4814. Determine d(9). -8 Let t(q) = -3584*q - 32268. Determine t(-9). -12 Let h(v) = -v**2 + 44242*v - 796035. What is h(18)? -3 Let y(h) = h**3 + 730*h**2 - 5436*h - 3968286. What is y(-730)? -6 Let o(a) = -a**3 - 310*a**2 + 1002*a + 19767. Determine o(-313). 48 Let d(a) = -143*a + 23847. Determine d(168). -177 Let y(v) = -655*v**3 + 665*v**2 + v. Give y(1). 11 Let k(d) = d**3 + 2275*d**2 + 6816*d - 8. Calculate k(-3). -8 Let z(o) = -o**2 - o - 226. Give z(-8). -282 Let f(t) = -25851*t + 206820. Give f(8). 12 Let s(y) = y**3 + 51*y**2 + 2306*y + 122688. What is s(-52)? 72 Let c(y) = -825*y**2 - 37*y + 71. Give c(2). -3303 Let v(c) = 2044*c**3 - 8*c**2 + 4*c + 7. Give v(-1). -2049 Let m(v) = -838540*v - 6708314. Determine m(-8). 6 Let d(h) = -7*h**3 + 138*h**2 + 6*h - 6. Calculate d(8). 5290 Let i(t) = 1531*t**2 - 109*t - 109. Determine i(-1). 1531 Let f(b) = 1687*b + 22659. What is f(-12)? 2415 Let y(j) = -1370*j + 18952. Calculate y(14). -228 Let v(p) = -4*p**3 - 203*p**2 + 108*p + 2740. Give v(-51). -167 Let t(h) = 20*h**3 - 35*h**2 + 31*h + 85. Determine t(2). 167 Let x(d) = -18*d**2 + 334*d + 6849. What is x(31)? -95 Let m(v) = -21*v**2 + 4297*v - 12895. What is m(3)? -193 Let p(s) = -1648*s + 238968. Determine p(145). 8 Let k(n) = 2*n**2 - 4329*n - 34755. Determine k(-8). 5 Let q(d) = 2*d**3 - 107*d**2 - 280*d - 436. What is q(56)? -436 Let f(q) = 2273*q**2 + 11355*q + 2. Calculate f(-5). 52 Let b(x) = -9*x**3 + 1350*x**2 + 16*x - 2326. Give b(150). 74 Let f(b) = b**3 + 341*b**2 - 1106*b - 25456. Determine f(-344). 0 Let f(d) = 4942*d + 200306. What is f(-40)? 2626 Let v(p) = -34*p**2 + 6808*p - 1521. Calculate v(200). 79 Let q(p) = 6346*p + 50495. Determine q(-8). -273 Let q(n) = -3501*n + 220565. What is q(63)? 2 Let j(c) = -2*c**2 - 46*c + 41549. What is j(-156)? 53 Let f(t) = t**3 + 49*t**2 - 732*t - 32127. Determine f(-51). 3 Let i(k) = 4*k**2 + 56*k - 172. Give i(-13). -224 Let h(c) = -130*c + 5661. Give h(44). -59 Let d(h) = 4*h**2 + 73*h + 345. Determine d(-17). 260 Let r(i) = -59*i + 4464. Give r(77). -79 Let k(b) = -3*b**3 - 779*b**2 + 258*b - 525. Determine k(-260). -5 Let w(j) = -3686*j + 29490. What is w(8)? 2 Let a(y) = -2*y**3 - 96*y**2 - 186*y - 192. Determine a(-46). -100 Let m(s) = -42*s + 43. What is m(0)? 43 Let r(z) = -z**3 - 165*z**2 - 270*z + 9187. Determine r(-163). 59 Let j(s) = -272*s**2 + 810*s + 28. Determine j(3). 10 Let w(a) = -2*a**3 - 30*a**2 - 10366*a - 144723. Determine w(-14). 9 Let d(w) = 655*w + 18797. Calculate d(-30). -853 Let n(m) = 94*m - 42853. Calculate n(456). 11 Let f(u) = 2*u**3 + 19*u**2 - 98*u - 1461. What is f(-12)? -1005 Let z(s) = -s**3 - 275*s**2 - 15486*s - 401. What is z(-196)? -9 Let u(j) = -99*j**2 + 873*j + 911. Calculate u(-1). -61 Let k(r) = -r**3 - 182*r**2 + 2844*r + 660041. Determine k(-177). 8 Let s(l) = 2*l**3 + 100*l**2 + 737*l - 2123. Determine s(-12). -23 Let s(d) = 2*d**2 + 1258*d + 162156. What is s(-181)? -20 Let k(g) = -g**3 + 390*g**2 + 441*g - 19536. Give k(391). 14 Let m(p) = 6641*p - 145483. Give m(22). 619 Let n(z) = z**3 - 639*z**2 + 13583*z - 112. Determine n(22). 86 Let a(m) = 602*m + 11291. Calculate a(-21). -1351 Let j(g) = -3*g**3 + 5*g**2 + 40*g + 1. Give j(4). 49 Let l(n) = 15*n**2 + 273*n - 1206. Calculate l(-22). 48 Let f(c) = c**3 - 44*c**2 + 85*c - 1849. Give f(43). -43 Let n(i) = 66*i**2 + 4362*i + 387. Give n(-66). -9 Let j(b) = 18256*b + 109544. Give j(-6). 8 Let b(f) = -14*f**2 - 713*f + 30. Give b(-52). -750 Let b(j) = 58994*j - 649884. Determine b(11). -950 Let b(o) = -7*o**2 - 38*o + 4783. Determine b(-29). -2 Let j(g) = 4*g**3 + 52*g**2 - 228*g - 3022. Give j(-13). -58 Let c(v) = -v**3 - 14*v**2 + 8598*v + 103438. Determine c(-12). -26 Let k(n) = n**3 - 37*n**2 + 324*n - 12223. What is k(37)? -235 Let l(k) = 8*k**2 - 2120*k + 2396. Calculate l(262). -3892 Let b(k) = 6*k**3 - 156*k**2 - 158*k - 118. What is b(27)? -10 Let i(g) = -51196*g + 1996639. Determine i(39). -5 Let y(x) = 53*x**3 + 1216*x**2 - 133*x - 1478. Determine y(-23). -6 Let y(j) = -j**3 + 28*j**2 - 69*j - 77. Determine y(17). 1929 Let r(l) = 2*l**3 - 79*l**2 + 86*l + 120. Give r(38). -944 Let p(w) = 3*w**2 + 212*w + 2824. Calculate p(-53). 15 Let u(l) = 751*l**2 + 6631*l + 67. Give u(-9). 1219 Let g(o) = -o**2 + 1594*o + 45484. Determine g(-28). 68 Let k(m) = 2*m**3 - 330*m**2 + 2811*m - 43. Determine k(9). -16 Let o(b) = 7*b**2 - 435*b + 6432. What is o(38)? 10 Let n(g) = 2213*g - 10291. Calculate n(5). 774 Let v(x) = -2*x**2 + 40*x + 91. What is v(38)? -1277 Let i(y) = 48908*y**2 + 782553*y + 396. Calculate i(-16). -4 Let x(y) = 79*y**2 - 124*y - 140. What is x(-2)? 424 Let w(l)
{ "pile_set_name": "DM Mathematics" }
34 = -2*g - 5 - 27, 0 = 2*m - 18*g - 51 - 83 for m. 4 Solve -45*i - 34*i - 28*i + 9*i - 474 = -0*i + 4*m, -4*m + 16 = 0 for i. -5 Solve 0 = -4*j + 4 + 42 + 6, -2*d + 97 = 15*j - 100 for d. 1 Solve -5*r = t + 7, -1522*r + t = -1512*r + 8 for r. -1 Solve 27*y - 12*g - 7 = 15*y + 7*y + 40, 0 = -5*y - 4*g - 49 for y. -5 Solve 8*h + 9*f - 15 - 92 = -4*f, 0 = -5*h - f - f + 24 for h. 2 Solve -79*i - 71 = -5*l - 13, 2*i = 4*i + 3*l + 2*l + 104 for i. -2 Solve 0 = -4*h + 3*t - 43, 1037*h - 4*t + 986 = 103*h - 0*t for h. -1 Solve n + 15*p + 4 = 6*p + 31, 0 = -p + 1 for n. 18 Solve 5*a + 9 = 6*h, -2*a - 4*h = 26968864 - 26968886 for a. 3 Solve 183 + 377 = -13*v - 142, 3*y - y - 2*v + 35 - 151 = 0 for y. 4 Solve u = -39828*y + 39826*y - 12, y + 5*u + 6 = 0 for y. -6 Solve -26*t + 148645 - 148527 = 4*w, 2*t = -2*w + 4 for w. -3 Solve -160 = 4*c - 2282584*d + 2282586*d, 5*d = 6*c + 208 for c. -38 Solve 0 = -5*u - 21*o + 635, 57 = -2*u + 2*u - 9*u + 3*o - 24 for u. 1 Solve -1 = 2*d - 5*a, -2*d + 229*a + 67 = 20 - 176 for d. -3 Solve -4*k + 18193*y - 18197*y - 72 = 0, -142 = -2*k - 91*y for k. -20 Solve i + 17*z + 93 = 12*i + 12*z, i + 2*z = -21 for i. 3 Solve 4*f + 60 = 20*z, -4*z = 5*f - 2029729 + 2029746 for f. -5 Solve 152 = 4*y, -33*y - 2*y = 4*f - 31*y + 17 - 177 for f. 2 Solve 4*b = -2*p + 116, 215*p - 92 = 213*p + 4*b for p. 52 Solve -160 = -5*u + 2*g + 3*g - 45, -4 = -4*g for u. 24 Solve c - 11 = q, -4*q + 28 - 81 = 3390*c - 3385*c for q. -12 Solve 12568*c - 5*a = 12569*c - 22, -c - 6*a + 20 = 0 for c. 32 Solve 101*d - 73*d + 5*m = 501, 6*m - 3 = d + 2*m for d. 17 Solve 1 = -i + 4*b, 119*i - 122*i - 3 = -6*b + b for i. -1 Solve 0 = 5*d - 4*k + 27, -55 + 16 = 3*d - 50*k + 40*k for d. -3 Solve 788*u - 1582*u + 789*u + 0 + 3 = -b, 4*b + u = -33 for b. -8 Solve 21 = -2*c - 2*k + k + 52, 3*c - 46*k = 284 for c. 18 Solve -402752*t = 5*f - 402750*t - 28, -2*t - 12 = -5*f for f. 4 Solve -54*f + 0*l - 5*l = -2612, 3*f + 12*l - 18*l - 120 = 0 for f. 48 Solve 3*m - 4*z - 216 = 0, 0 = 377*m - 379*m - 3*z + 144 for m. 72 Solve 64*g - 19*g - 38*g = -5*m - 59, 9*m - 4*m - 4 = 2*g for g. -7 Solve -33 = 4*x + 3*o, 11*x = -2*o + 383 - 405 for x. 0 Solve 5*o + 270 = -5*u, -981003*o + 5*u = -981000*o + 2*u + 144 for o. -51 Solve -6*f - 2*q = -74, f - 805190 = -5*q - 805187 for f. 13 Solve -212505 = a + 3*b - 212515, -16*b + 68 = -2*a for a. -2 Solve -5*h + 102649*n + 67 = -3*h + 102646*n, -13*h - 37 = 3*n for h. 2 Solve -45 = 4*w - 5*l, -12*w + 49*w - 11*w - 11*w = 4*l - 95 for w. -5 Solve -3*x + c = -25, -x - 51 = 5*c + 40 - 94 for x. 8 Solve -12 = -2*q, 5*q + 1483079 = f + 1483114 for f. -5 Solve 4*u - 14 - 108 = 2*l, -l + 12*u = 351 for l. -3 Solve -5*l + 11808*g - 11801*g - 37 = 83, l + 4*g = -24 for l. -24 Solve -7*r = 4*c + 107, 149*r + 38 + 38 = -3*c + 148*r for c. -25 Solve -3*m + 58*z - 101 = 246, -10 + 66 = -4*m + 151*z - 155*z for m. -19 Solve 15*r - 19*r = -5*x + x - 80, -50*r + 1106 = 3*x - 0*x for x. 2 Solve 97 = 3*d - 5*l, -1019*d + 5*l = -1014*d - 95 for d. -1 Solve -3*b + 33*w = -4 + 124, b - 10 = 6*b - 10*w + 9 + 1 for b. 4 Solve -3*t - 7*t - 401 = 4*u - 3*t, -4*u + 3*t + 71 + 118 = 0 for u. 3 Solve -o = 2*z - 72, 829*z + o + 32 = 826*z + 141 for z. 37 Solve -13183 = -5*w - 4*a - 13204, 0 = 3*w + 3*a + 15 for w. -1 Solve -3*q = -5*x + 113, 1268*q = x + 1264*q - 128 for x. 4 Solve 33*h - 38*h = -4*x - 5 - 14, -22*x - 267 = 5*h for h. -5 Solve 1092*g = 1097*g + s + 256, -5*g = 2*s + 257 for g. -51 Solve -q - 312 = -12*q + 2*g - 160, 4*q - 2*g - 54 = 0 for q. 14 Solve 4*l - 3*i = -20, 7*l - 2303*i + 2306*i = 164 - 166 for l. -2 Solve 0 = 24799*d - 24796*d - 3*v + 174, -9*d + 3*v = 156 for d. 3 Solve -82 = -5*h + 4*f, 2*f + 2*f + 82 = 10 - 0 for h. 2 Solve -2 = -5*o + 3, -952 + 966 = 5*h - o for h. 3 Solve 2*g + 49 = -7*m, -1809*g - 16*m - 60 = -1804*g - 11*m for g. -7 Solve 53 = 4*h + 22789*f + 22785*f - 45579*f, -3*h + 2*f + 38 = 0 for h. 12 Solve -5*z + 3*z + 3*z - 201 = -4*l + 99, -7*l + 2*z = -525 for l. 75 Solve -4*w + 69209 - 69189 = -0*w, -2*c - 34 = -4*w for c. -7 Solve 5*w - 2 = 4*d - 17, -2*d + 12*w - 2 = -0 for d. 5 Solve 19867*o + 18 = 19864*o, -2*s = -3*o - 24 for s. 3 Solve 4*i - 2*q = -18, -210*i + 214*i + 43 = -3*q for i. -7 Solve 5*h = -3*o + 26, -10*o + 74 = 4146*h - 4142*h for o. 7 Solve -17*b - 86 = q - 40*b, q - 5*b + 7 = -8 + 1 for q. 6 Solve -2*c = 9*t - 49, -28 = -4*c - 36848*t + 36844*t for c. 2 Solve 2*x + 8 = 5*f, x - 28020 = -3*f - 28013 for x. 1 Solve -2*h + 25159*s = 25161*s, -5*h + 6 = 3*s for h. 3 Solve -3*w = 4*i + 50, 93*i - 48*i = 49*i + 20 for w. -10 Solve 0 = 2*k + x + 8, 30149*x + 25 = -3*k + 30154*x for k. -5 Solve 4*m - 28119 = 3*k - 28086, -25*m = -4*k - 365 + 85 for m. 12 Solve -3 = -2*y - 5*j - 11, 4*y - 2*y - 3*j + 8 = 0 for y. -4 Solve -7*y - 362 = n - 200, -6*n = -y - 17 for n. -1 Solve 4*u + 3*w + 40 = -12 - 12, 25*u - 23*u + 18 = -w for u. 5 Solve 4*x = 3*a + 19, -2*x + 3*a = 3*x - 7*x - 13 for x. 1 Solve 3*o + 8 + 1 = -f - 13, 457 = -3*o + 86*f for o. -9 Solve 18*h - 51 = 3*i, -2085 = -2*h + 5*i - 2056 for h. 2 Solve -36 = -3*p - 5*d, 0 = 4*p - 27*d - 36*d + 61*d + 30 for p. -3 Solve 41*h + 7*p - 1 = 39*h + 4*p - 18, -3*h = 4*p + 25 for h. -7 Solve -2910 = -23*m - 2*g - 2983, 4*g + 23 = -5*m for m. -3 Solve -3*z + 18 = x, -3*x - 3*x + 66 = 15*z - 6*x - 3*x for z. 5 Solve 2*l = -11*q + 45, -2*q - 109894*l + 36 = -109889*l for q. 3 Solve -10*n + 3*a + 30 = -4*n, -77 + 69 = -n - a for n. 6 Solve 20 = 5*k - 5*z - 0, -2868 = -4*k + 5*z - 2847 for k. -1 Solve 2*h = -h + 2*g - 18, 5*h - 16*h + 2 = -7*h + 6*g for h. -4 Solve -2*o - 99 = 2*r - 27, -5*r = 7*o - 3*o + 185 for r. -41 Solve 331*c - 61 = -5*j + 339*c, -3*j + 3*c + 33 = 0 for j. 9 Solve 0 = 5*p - k + 40 - 24, 3*p = 3*k - 12 for p. -3 Solve -15356*x - 125 = -5*u - 15361*x, -5*u - x + 145 = 0 for u. 30 Solve 20*c - 16 = r + 23, 3*c - 6*c = 11*r + 206 for c. 1 Solve 0 = 5*v - 7*s + 57, -342 = -3*v + s - 716 + 327 for v. -17 Solve -3*c - 3*v + 42 - 24 = -4*v - 39, 16*v = 7*v for c. 19 Solve -13 = -3*o - 4*t, 3*o - 1842*t + 3 = -1847*t + 11 for o. 11 Solve 2*j - 7*x + 18 = -5*x - 14 - 14, 4*x = -2*j - 16 for j. -18 Solve -17*h - 1239 = -3*g, -2*h + h + 0*h + 273 = -5*h - 3*g for h. -72 Solve -68 = -27*a - 188*r + 207*r, 5*r = 3*a - 22 for a. -1 Solve -5*k = 3*q - 3471 + 3602, 5*q - 149 = 2*q + 5*k for q. 3 Solve -2*b + 3 = 179*s - 177*s + 1, -17*s - b - 2 + 3 = 0 for s. 0 Solve 23*c - j = 78, 7*c - c - 2*j + 7*j + 27 = 0 for c. 3 Solve 3256*a - 3255*a = -3*y - 20, 4*y + 20 = 0 for a. -5 Solve -88 = 4*b - 2435932*p + 2435933*p, 3*p + 748 = -34*b for b. -22 Solve 0 = -5*q - 5*j - 89 + 189, 4*q = -40*j + 224 for q. 16 Solve -4*h = -4*i + 16, 291*i - 4*h - 1707 = -256 for i. 5 Solve 0*t + 65 = 5*y + 4*t, -123347 = 3*y + 3*t - 123389 for y. 9 Solve 3*i + 46*t = 43*t - 36, 2*i - 19*t - 165 = 0 for i. -3 Solve 60 = 5*n - 2*x + 91, 2*n - 2*x - 9*x + 94 = 0 for n. -3 Solve 3*c - 1 - 6 = l, -9*l + 10*c - 17*c = -4*c - 27 for l. 2 Solve -57*a + 12 = 49*a - 104*a - 2*p, 4*a + p + 31 = 0 for a. -5 Solve -5*f = -2*x + 108, -8*x + 28*f - 88 + 76 = -429 - 47 for x. 44 Solve 444*o - 150*o = 149*o + 144*o, -4*r + 6*o = 64 for r. -16 Solve -3*k = 11*c + 58, -679*c + 1372*c + 8 = 2*k + 691*c for k. -1 Solve 59*u + 3*c + 7 = 46*u + 14*u, 2*u - c = 9 for u. 4 Solve 0 = v + 5*l + 13, 6*v - 39*l + 33*l - 52 = 2*v for v. 7 Solve -7*y = -14*y - 6*d - 30, -6*y + 9*y - 4*d - 20 = 0 for y. 0 Solve 5*c - 8*f - 15 = 0, -1205*c - 3*f + 0 - 5 = -1207*c for c. -5 Solve 3*q + n = 79 - 115, 0*q = -4*q + 32*n - 34*n - 10 - 36 for q. -13 Solve 2*d - 14 = 18*b - 19*b, -3*b + 5*d + 8 - 21 = 0 for b. 4 Solve -2971*r - 9 = -2975*r + 5*y, -2*r = -2*y - 2 for r. -4 Solve 6776*q - 36 = 3*c + 6778*q, -7*c + 2*q - 40 = 3*q for c. -4 Solve -4 = 5*o - v + 2*v, -10*v + 180 = 55*v - 110*v for o. 0 Solve 0*b + 158 = -b - 0*b + 5*n + 156, b + 8 = -n for b. -7 Solve 123*o = 121*o + 2*n + 52, -25*n + 20*n - 138 = -o for o. -2 Solve -35973*g + 20 = -35968*g + 5*c, 0 = -g - 7*c + 46 for g. -3 Solve -57626*h + 4*c - 1 = -57631*h + 5*c, -4*h + c + 3*c + 20 = 0 for h. -1 Solve 0*a = -2*a + p + 1, -2*a = 3*p - 157826 + 157805 for a. 3 Solve -950 + 887 = -4*q + 3*w, -2*q + 23 = -w for q. 3 Solve 10865*d = 10868*d
{ "pile_set_name": "DM Mathematics" }
+ m**3 - 3*m**3). -96*m**3 Expand 2*q + 2*q + 2*q + (5*q - 7*q + 2 + 0)*(0 + 0 + 2). 2*q + 4 Expand (-4*l + l + 2*l)*(0*l**2 + l**2 - 2*l**2) - 6 + 6 + 3*l**3. 4*l**3 Expand (6 - 6 - 3*j)*(4 - 5 - 31*j + 23*j). 24*j**2 + 3*j Expand (-2*i**2 + 2*i**2 - i**3)*(-i**2 + 3*i**2 + 0*i**2) - 4*i**5 + 5*i**5 - 4*i**5 + 0*i**4 - 2*i**5 + 3*i**4 - 6*i**4. -7*i**5 - 3*i**4 Expand (-1 + 2 + 1)*(-4*j + 6*j + 9*j). 22*j Expand ((r**2 + r**2 - r**2)*(4 - 5 + 2) + 0*r**2 - 10 + 11 - 2*r**2)*(2 + 3*r - 2). -3*r**3 + 3*r Expand -3*s**3 + 2*s**2 + s**2 + s**2 + (2 + 2 - 3)*(s**2 - 2*s**3 - s**2) - 2*s**2 + 2*s**2 + s**3. -4*s**3 + 4*s**2 Expand (7 + 8 - 5 + 0)*(0*s**2 + 0*s**2 - s**2). -10*s**2 Expand (23*w - 36*w + 34*w)*(2 + 4 - 4). 42*w Expand -2 + 4*a**5 + 2 - 3*a**5 + 2*a**5 + 3*a**5 - a**5 + 6*a**5 - 3*a**5 + (4*a**3 - 2*a**3 - 3*a**3)*(a**2 - 2*a**2 + 2*a**2) + a**5 - 2*a**5 - a**5. 5*a**5 Expand 3*y**5 + 5*y**5 + 0*y**5 + (4*y**3 - 5*y**3 - y**3)*(-3*y + y**2 + 3*y). 6*y**5 Expand (9 - 25 + 11)*(-1 - g + 1) - 3*g + 3*g - g + (3 - 3 + 2*g)*(-3 + 2 + 3). 8*g Expand k + 2*k + 0*k + (-3 + 3 - 2*k - 1)*(-2 + 4 - 4). 7*k + 2 Expand (-11*k**4 - 4*k + 4*k)*(3*k - 2 + 2). -33*k**5 Expand -99 + 99 - 34*h**2 + (2*h - 3*h - h)*(-5*h + 5*h + 2*h). -38*h**2 Expand (2*l + l - 2*l)*(2*l + 0*l + 0*l) + (1 - 1 - 3*l)*(1 + 3*l - 1). -7*l**2 Expand f - f + f**3 + f - 2*f**3 - f + (-1 - 1 + 0)*(-2*f**3 + 2*f**2 - 2*f**2) - 2*f**3 + 2*f**3 - f**3. 2*f**3 Expand (s - 2*s + 0*s)*((-3 + 2 + 3)*(-2*s + 0*s + 3*s) - s + 3*s - 8*s + s + 0*s + 0*s + 5 - 5 + s). 2*s**2 Expand -g**5 - g**5 + g**5 + g**4 + g**5 - g**4 + 0*g**4 + 7*g**5 + 0*g**4 + (3*g + 3*g**2 - 3*g)*(-3*g**3 + 2*g**3 + 0*g**3) - 4*g**2 - g**5 + 4*g**2. 3*g**5 Expand (3*w**2 - w**3 - 3*w**2)*(-w + w + w)*(2*w - 2*w + 9*w). -9*w**5 Expand (0*n**2 + 0*n**2 - n**2)*(2 - 1 - 4)*(2 - 3 + 2)*(10*n - 6*n + 7*n). 33*n**3 Expand 0*y + 0*y + 2*y + (0*y + 4*y - 2*y)*(2 - 4 + 4) - 5 - 2*y + 5 - 6 - 42*y - 1 + 44*y. 6*y - 7 Expand (1 - 4 + 7)*(3*h + 0 + 0). 12*h Expand 0*w**2 + 0*w**2 - w**2 + (4*w + w - 6*w)*(0*w + 3*w + 0*w) + 5 - 5 - 3*w**2. -7*w**2 Expand (-4*g**2 - 2*g + 2*g)*(-1 - g**2 + 1)*(3 - 1 - 1). 4*g**4 Expand (5*s**2 + s**2 - 2 - 3*s**2)*(3 - 3 - 5*s). -15*s**3 + 10*s Expand (-3*z - 2*z - 2*z)*(-5*z + 2*z + z)*(-z**2 + 4*z**2 - 2*z**2). 14*z**4 Expand (-492 - 28*u + 492)*(-u + 0*u + 2*u) + u**2 - 5*u + 5*u + (1 - 3 + 0)*(-2*u**2 + 4*u**2 - 4*u**2) + 2*u - 2*u + u**2. -22*u**2 Expand (-6 + 2 + 3)*(0*q - 2*q + q) + 29*q + 16*q - 7*q. 39*q Expand (0*x**2 + 0*x**2 + 2*x**3)*(-x**2 + 3*x**2 - x**2) - 4*x**3 + 0*x**5 - 3*x**5 + 5*x**3. -x**5 + x**3 Expand (-3 + 3 + 6*g**5)*(-1 + 0 - 3). -24*g**5 Expand (2*r**2 - 729*r + 729*r - 89)*(r**3 + 0*r**3 + r**3). 4*r**5 - 178*r**3 Expand -2*m + 5*m - 4*m + (2 - 6 + 2)*(-4 + 2*m + 4) - 2*m + 11 - 11 + (-4 + 3 + 4)*(4*m - 4*m - 4*m). -19*m Expand ((-o - 3*o + 3*o)*(-3 + 4 + 1) + 6*o - o - 2*o)*(-2 + 2 + 2*o**3). 2*o**4 Expand 2 + 4*y**5 - y**5 - 1 + (-2*y**2 - 2*y**2 + 2*y**2)*(2*y**3 - y**3 - 2*y**3). 5*y**5 + 1 Expand (0*s**3 + s**3 + 3*s - s**2 + 3*s**2)*(-2 + 2 + 5). 5*s**3 + 10*s**2 + 15*s Expand (-2 - q + 2)*((1 - 2 - 1)*(0 - 2 + 0) + 2 - 2 - 2). -2*q Expand m**2 + 2 - 2 + 2*m**2 + 0*m**2 - m**2 + (-1 + 2 - 3)*(m**2 + 0*m**2 + 0*m**2) + (2*m + 1 - 1)*(-4*m + 2*m + 4*m). 4*m**2 Expand t**3 - t**3 + 8*t**4 + (-3*t**4 + 5*t**4 + t**4)*(2 + 2 - 2) - t**4 + 3*t**4 - 3*t**4. 13*t**4 Expand -2*j**3 + 2*j**3 - j**4 + (3*j**3 - 3*j**3 - 2*j**4)*(3 + 1 - 2). -5*j**4 Expand (-2 + 2 + 1)*(q + 3*q + 6*q). 10*q Expand (-3*g - 6*g + 3*g)*(-15 - 13 - 9*g + 27). 54*g**2 + 6*g Expand (2*w**3 + 0*w**3 - w**3)*(2 + 4 - 4) - 2*w**3 + 0*w**3 + w**3 - 2*w - w**3 + 2*w + (4 - 1 - 5)*(w**3 + 5*w**3 - w**3). -10*w**3 Expand (-c**3 + 2*c**3 + c**3 + (c - 2*c - c)*(-4*c + 4*c + 2*c**2) - 2*c + c**3 + 2*c + 4*c**2 - 4*c**2 + 2*c**3 + 8*c + 7*c**3 - 8*c)*(0*c**2 - c**2 - c**2). -16*c**5 Expand (5*u - 2 - 2*u**3 - 5*u)*(-u**2 + 0*u**2 - 4*u**2). 10*u**5 + 10*u**2 Expand (5*z - 2*z - 4*z)*(2 + 2 - 1)*(5 - 4 + 5). -18*z Expand ((4 - a - 4)*(-5*a + a + 2*a) - 3*a**2 + 5*a**2 + 3*a**2)*(2*a - 2 + 2). 14*a**3 Expand (1 - 4 - 4)*(-4*n + 4*n + n)*(-n**2 + 0*n**2 + 3*n**2). -14*n**3 Expand (-4*o + 3*o + 2*o)*(0*o**2 - 3*o**2 - 3*o**2). -6*o**3 Expand 2*r**5 - 3*r**5 + 3*r**5 + (-2*r**5 + 0*r**5 + r**5)*(2 - 3 + 0)*(-1 + 3 - 3). r**5 Expand (-1 + 4*q + 0*q - 5*q)*(19*q**3 - 2*q**3 - 34*q**2 + 33*q**2). -17*q**4 - 16*q**3 + q**2 Expand (z + z**5 - z)*(-4 - 1 + 4) + (-3*z**2 - z**2 + z**2)*(-3*z**3 - 8*z**3 + 5*z**3). 17*z**5 Expand (n + 4 + n - 2)*(-6 + 16 + 5 + (7 - 3 - 1)*(2 - 2 - 1))*(-n + 6*n - 3*n). 48*n**2 + 48*n Expand (2 - 2 - 2)*(-4*x**3 + 2*x**3 - 6*x**3) + x**3 - x**2 + 0*x**3 - 2*x**3. 15*x**3 - x**2 Expand (g**2 + 0*g + 0*g)*(13 - 13 + 8*g). 8*g**3 Expand (5*w**4 - 3*w**4 - 3*w**4)*(1 - 1 + w) - w**5 - 4*w**5 + 3*w**5 + w**5 - 5*w**5 - w**5 - w**2 + w**2 + w**5. -7*w**5 Expand (-3 + 3 - 2*p)*(2*p - 2*p - 2*p) - 5*p**2 + 3*p**2 - 2*p**2 + (p**2 - 1 + 1)*(-2 + 3 + 1). 2*p**2 Expand (2 + 0 - 4)*(t - 7*t + 0*t + (-4 + 4 - 1)*(-2 + t + 2)). 14*t Expand (-3*x**3 + 0*x**2 + 0*x**2)*((-2*x - x + x)*(2*x + 4*x - 3*x) - x - x**2 + x). 21*x**5 Expand (-z**3 - 2*z + 2*z)*(1 + 8*z**2 - 1) + (2 - 2*z**2 - 2)*(-2*z**3 + 0*z**3 + 0*z**3) + z**5 + 1 - 1. -3*z**5 Expand (-5*o + 4*o + 3*o)*(o - 2*o - 5*o) + 0*o**2 + o**2 + 0*o**2 + o - o + o**2 + (-7 + 2 + 3)*(2*o**2 + 2*o - 2*o). -14*o**2 Expand -22*r + 22*r - 9*r**3 + (-4*r + r + r)*(2*r - 2*r + 2*r**2) - r**2 - 4*r**3 + r**2. -17*r**3 Expand 2*k**3 - 5*k**3 - k**2 + 2*k**2 + 2*k - 2*k + 2*k**3 + (-k**2 + 2*k**2 + k**2)*(k + 0*k - 3*k) + 3*k**3 - k**3 - 5*k**3. -8*k**3 + k**2 Expand -2*g**2 + 0*g + 0*g + (g + 2*g - 2*g)*(-2*g + 7*g - 10*g) - 3*g**2 - g**2 + 3*g**2. -8*g**2 Expand (-4 + 4 - 2)*(0 + 0 + b) + (0 + 0 + 2*b)*(2 + 0 - 1) - 2*b - 4*b + 5*b. -b Expand (1 - 3 + 3)*(22*k - 3*k**5 - 7*k**5 + 12*k**5). 2*k**5 + 22*k Expand ((-4 + 4 + 2)*(-1 + 1 + 1) + 5 - 3 - 5 + 3 - 3 + 2)*(3*f**2 - 4*f**2 + 3*f**2). 2*f**2 Expand 4*v**5 + 4*v**4 - 4*v**4 + (-3*v**2 + 5*v**2 - 3*v**2)*(0*v**3 + 0*v**3 + 2*v**3)*(0 + 0 + 1). 2*v**5 Expand -2*r**5 - r**5 + 2*r**5 + 0*r**5 - 5*r**5 + 6*r**5 + (r**2 + 1 - 1)*(-3*r**3 + 7*r**3 - 2*r**3). 2*r**5 Expand (-5 + 4 - 1)*((-4*n**2 + 4*n**2 + 3*n**2)*(3*n - 7*n + 3*n) - n**2 - 3*n**3 + n**2). 12*n**3 Expand (p**4 + 0 + 0)*(2*p + 3*p - 2*p) - 4*p**5 - 5*p**5 + 3*p**5. -3*p**5 Expand (v - v**2 - v)*(8*v - 63*v + 3*v). 52*v**3 Expand (2*v**4 - v**4 + v**4)*(4*v - 2*v + 0*v) - 3 + v**5 + 3 - v**5 - 3*v**5 + 5*v**5. 6*v**5 Expand (-2*u**4 - 1 + 1)*(1 - 3 + 7)*(3*u + 2*u - 4*u). -10*u**5 Expand (-3*s**3 + s**3 + 5*s**3)*(3*s**2 - s**2 + s**2). 9*s**5 Expand 0*k - 4*k + 3*k + (0*k - k + 2*k)*(-6 + 2 + 2) + 3*k - 4*k + 2*k + (-5*k - 2*k + 2*k)*(-5 + 2 - 8). 53*k Expand (z**2 + 3*z**2 - z**2)*(0*z + z + 0*z)*(1 + 0 + 1). 6*z**3 Expand o**4 + 0*o**4 - 2*o**4 + (4*o**2 + 2*o**2 - 7*o**2)*(-o**2 - 4*o**2 - 18 + 19). 4*o**4 - o**2 Expand -4*g - 2*g**4 + 4*g + 3*g**3 - 3*g**4 - 3*g**3 + (3*g**4 - 2*g**4 - 4*g**4)*(2 - 1 + 0). -8*g**4 Expand (-p**3 + 3*p**4 + p**3)*(3 + 0 - 1)*(5 + 2 - 5)*(-1 + 4 - 4). -12*p**4 Expand (2*q + 2 - 2)*(8*q + 5 + 3 - 4). 16*q**2 + 8*q Expand (-5 + 1 + 5)*(-2*m**2 + 2*m**2 - 2*m**3). -2*m**3 Expand 8*b**4 - 2*b + 2*b + b - 2*b**4 - b + (4*b + 0*b - 6*b)*(-4*b**2 + 2*b**3 + 4*b**2). 2*b**4 Expand -2*c + 2*c + 3*c + (0 + 0 - 3*c)*(4 - 5 - 1) + 3*c - 4*c + 2*c. 10*c Expand (-2 - 4 - 3)*(1 + 1 - 1)*(-2*r + 2*r - r**3). 9*r**3 Expand (6*a - 6 - 4*a + 0*a)*(-2*a + 2 - 2). -4*a**2 + 12*a Expand (0*w**2 - w**2 + 2*w**2)*((0 + 1 - 2)*(-3 - 1 + 6) + 1 - 3 - 1). -5*w**2 Expand (-4 - 3 + 6)*(-d + d - d**2)*(-d + 0*d + 2*d). d**3 Expand (-h + h - h)*(-2*h + 3*h + 0*h)*(-2*h + 0*h + 0*h). 2*h**3 Expand (4*q**3 - 9*q**3 + q**3 + (-q + 3*q + q)*(-2*q**2 + 0 + 0))*(1 - 1 + 2). -20*q**3 Expand (5 + 8 - 1)*(2*z + 3*z - 7*z). -24*z Expand q**2 - 4*q**2 - 1 + q**2 + 13*q**2 + 3*q**2 + 0*q**2 + (4*q**2 - 2*q**2 - 5*q**2)*(-1 - 3 + 6). 8*q**2 - 1 Expand (-2*v + 3*v - 3*v)*(-v - v + 0*v) - 2*v**2 + 2*v**2 + 2*v**2. 6*v**2 Expand (2*f**3 - 5*f**2 - 2*f + 1 + 5*f**2)*(2*f + 2*f**2 - 2*f). 4*f**5 - 4*f**3 + 2*f**2 Expand (7*n**2 - 2*n**2 - 3*n**2)*(36 -
{ "pile_set_name": "DM Mathematics" }
4)*(-138)/(-32)). -2/23 ((-28)/(-98)*49/7)/((-4)/712*4) -89 ((-156)/32)/((-7)/6*720/(-1120)) -13/2 (-27*(-36)/58320)/((-4)/10) -1/24 Calculate 7 + 92/(7820/(-561)). 2/5 What is the value of 1048788/14985 - (111 - 41)? -2/185 What is -40 + 7 + -5 + -8 - (-6 - -18)? -58 (36/150)/(-228*54/(-1080)) 2/95 What is the value of (280/252)/(((-7625)/150)/(-61))? 4/3 What is (-2072)/(-22) + 1 - (366/(-16287) + 3400/16643)? 95 Calculate -123 + 67 + 121 + 89. 154 Calculate 57/12597*102 + 84/(-858). 4/11 Evaluate (-4560)/200*((-35)/(-7) - 10). 114 Calculate (-42 + (-10659)/(-255))/(((-2)/(-6))/((-16)/(-120))). -2/25 (-21)/1 + 0 - (-377244)/17465 3/5 ((-43090)/(-186))/(-139)*(-252)/(-10) -42 What is the value of (((-30)/24)/5)/(10320/960)? -1/43 What is the value of (-6)/(-171) - 5088311/(-130587)? 39 What is the value of -60 + (-145)/((-6960)/1728)? -24 (2 + 40/(-28) + 1139/(-2814))/(6/4) 1/9 What is ((-12)/(-5472))/(223/1338)? 1/76 (27 - 32)*(-10 - -44 - 33) -5 Calculate (-90)/20*428/321*(45/22 - 2). -3/11 What is the value of (-16)/(-14)*(99 + 26051/(-956))? 82 What is -3 - (-163968)/25376*(-13)/(-2)? 39 What is -8 - 1/1 - ((-16)/76 - (-100640)/(-2812))? 27 Evaluate ((-417)/(-78))/((-2)/(-4)) - 132*(-23)/(-276). -4/13 957/(-51) + 31 + (-10620)/340 -19 What is 39/(-208) - (1641/(-48) + -6)? 40 What is the value of (1*-4*-1 + 143/(-26))*6336/(-216)? 44 Calculate (203 - 4876/24)*(-20)/18. 5/27 1/6 + -1 - ((-436)/4905)/((-1)/(-6)) -3/10 Evaluate (36/4 + -25 + 20 + -7)*2/(-69). 2/23 3 - (-1191)/(-171) - ((-2040)/(-850))/((-3)/5) 2/57 Calculate (-3 - -9)*((-420)/(-308) - 28/77). 6 What is the value of 9828/(-1053)*(-108)/308? 36/11 Calculate (22 - (-595)/(-28))/(((-216)/928)/(-27)). 87 41 + -13 + (-34)/((-170)/45) 37 What is the value of 139 - ((-6)/20 + 186648/6160)? 109 What is the value of ((-4428)/1722)/((-17)/(-28) + 9/(-12))? 18 Calculate 4/(-78)*((-30)/14 - 3300/(-22330)*-87). 10/13 What is the value of 38 + 7350/(-200) + 4/(-1360)*417? 2/85 What is ((-174)/(-1015))/(28/(-49)) + 5 + (-656)/140? 1/70 (-2946)/(-102) + (-20 - 328)/12 -2/17 What is (-14)/11 + 280000/(-6875)? -42 What is (-8)/(96/(-126))*(10 + 0 + (-912)/114)? 21 Evaluate 284/71 - (2/9*-3 + (-483)/(-63)). -3 161720/52559 - 2/26 3 Evaluate ((-125)/(-375))/(40/(-24)*3/15). -1 Evaluate -18 - -5 - -27 - 1 - (-3)/(-1) - 44. -34 66/550 + 151/200 7/8 (59936/(-18730))/((-24)/(-315)) -42 Calculate 8/((-8)/13) + (553/84)/((-13)/(-78)). 53/2 Calculate 10/(-1)*(-17)/(-7310)*-473. 11 What is (-56)/(-40) - (-649)/(-1180)*-4? 18/5 Evaluate (-113)/2373*(-42)/(-48) - (-1 - 681/792). 20/11 What is the value of 18/8*(-298 + (-266630)/(-879))? 12 What is (43/(-1935)*-30*(-33)/2)/(-3)? 11/3 What is (1344/98*140/(-40))/((-12)/(-8))? -32 (-16)/(-14) + 1733/62388*0/2 8/7 What is the value of 80/(-176)*(-4598)/11286? 5/27 (0/(-5) + (560/15)/(-28))*4*12 -64 Calculate ((8472/(-9884))/((-9)/(-98)))/((-10)/9). 42/5 What is 0 + 10/5 - (-34 - (-21223)/589)? -1/31 What is the value of (-588)/8560 + (-752)/(-40232)? -1/20 Calculate -1 + -87 + (16 + (-585)/30)*-2. -81 What is the value of (-225)/(-75) + 194*13/(-858)? 2/33 What is (99 - 48 - 119) + -8? -76 -117 + 164578/1406 + 184/(-6142) 2/83 (-212 + 171)/(351/26 - 14) 82 Calculate (-1140)/(-2340)*20/(-380). -1/39 What is the value of 11/(((-7920)/520)/(-3))? 13/6 (-870)/(-348)*-2*(-9)/((-162)/4) -10/9 Calculate ((-56)/(-35))/((-414)/45)*(-2)/20*1. 2/115 What is the value of ((-350)/88 - -4)/((-48)/(-192))*473? 43 What is (-992)/73408 + 14427/(-222)? -65 Calculate ((-8)/(-3) - 16/(176/11))*7. 35/3 (1*(-3)/(-6)*-12)/(186/(-3968)*-16) -8 Evaluate (-17)/((-51)/(-4))*((-3255)/16450)/31. 2/235 Evaluate 6/(-14) - 58/(3 + -4 + (-20 - 98)). 1/17 Evaluate (-47 - -48)/((-1809)/54). -2/67 What is the value of (-33)/(-18) + (-1400)/816? 2/17 What is the value of (936/(-46))/4 - ((-5)/3)/(274/822)? -2/23 Evaluate (100/42)/(40675/113890). 20/3 Evaluate 2*(88 + (-17725)/200). -5/4 Calculate (-3485)/(-6273) - 1794/(-27). 67 What is the value of (-3156 + -282)/191 - (-1 + -22)? 5 Calculate 1/(-3)*200/(-75)*1134/(-28). -36 Evaluate (-28024)/(-10509)*(-4)/2112*-9. 1/22 What is ((-414)/(-24) + -27)/((-26)/104)? 39 Calculate 146/88 - 1 - -309*121/(-49852). -1/11 Evaluate (26/(-2) + 60/15)*(-443)/(-17277). -3/13 What is the value of (-512)/192*54/16*28/(-9)? 28 What is the value of 2/(-24) - ((-33520)/(-1984) - 17)? 2/93 What is the value of (-6 - ((-53)/106 - (-145)/(-22)))*(13 - -9)? 24 What is 10 + (363/(-177) + 2)/(((-294)/(-4137))/14)? -1/59 (-14*27/504)/(2/20) -15/2 What is the value of -16*(-986)/(-1392) - (-10)/3? -8 What is the value of -109 + (177 - 27) + 70? 111 What is -4*(-4)/(-136) + 101695/1309 + (-39)/(-91)? 78 Evaluate 154062/(-1242) + 124 + (-478)/(-414)*1 - 5. -35/9 350/345 - (-1560)/(-2340) 8/23 Evaluate 343/98 + 2436/(-728). 2/13 What is (-54)/5 - (-8)/15*(-2871)/(-1914)? -10 ((-20)/(3 + 1))/(51 + (-45976)/896) 16 Calculate (-3)/(-8) + (-31)/(-36) + (-7)/56. 10/9 What is the value of (-4)/(-16)*(-8244)/(-1832)? 9/8 What is 35/15*(1565/(-35) - -46)? 3 Evaluate ((-3182)/(-387) + -8)/((-28)/(-54)). 3/7 21012/142 + ((-792)/639)/(-44) 148 (1173 - 1057) + -1*29 - 10 77 (23 + -95)/(-12) - ((1 - -1) + (-24 - -15)) 13 Evaluate 60/8*-2*(17 - (-12751)/(-738)). 25/6 Calculate ((-186)/10 - -7)*15*15/(-90). 29 What is the value of (((-1232)/(-21))/(-22))/((-10)/(-15)) + -38? -42 Evaluate (-200)/45 + 4 + 76/20*203/(-261). -17/5 -3027 + 2996 + 27 + 2 -2 Evaluate 29 - (-264)/(-1672)*19. 26 Calculate (-22338)/18615 + (-303)/(-40). 51/8 Evaluate ((7360/(-16))/46)/(-5). 2 Calculate (849/(-584112))/((32/48)/((-16)/3)). 1/86 Evaluate ((-12)/22)/(-1)*(206 + (-134 - 60)). 72/11 (-25)/(-15) + 17/51 2 What is the value of (295/(-177))/((-6)/207)*(-78)/(-585)? 23/3 -20 - 35 - (-15 - 13) -27 What is the value of -66*29*20/12760? -3 3/5*((32 - -2) + 157790/(-4650)) 1/25 What is the value of (-2)/(-5) - (-16 + 27*(-3024)/(-4995))? 2/37 Evaluate (-124)/22 + -1 + 35 + -16*165/88. -18/11 ((-31)/(-620) - 19935/450) + (-3)/4 -45 (-79)/(165347/(-46)) - 3225/(-39585) 3/29 Calculate (3024/238 - 13)/(2/(-6)*-28 - 11). 3/17 ((-3)/(-27))/(38 + (-17102)/459)*30/48 3/32 What is the value of 2/((3/(-133))/(216/(-1008)))? 19 What is the value of 24/(7/10*138/161)? 40 What is (30*4/320)/((-135)/36) - 511/(-10)? 51 Evaluate 6596/150 - (-2454)/92025. 44 What is -15*((-60)/(-132) + (-50)/(-11))? -75 132/((-5)/(-2) - 1629/362) -66 What is the value of (1 + 1956/(-9))*1080/1980? -118 Calculate 120/296*2/(-10). -3/37 Calculate 3276/224 - (-15686)/(-4048). 43/4 What is the value of (-4)/2*((-32 - -10) + (-1634)/(-76))? 1 What is the value of 15984/(-3663) - 98/539? -50/11 Calculate 31 + (-15150)/950 - (8 - -7). 1/19 Calculate (((-153)/(-68))/((-120)/320) + 0 + 39)/15. 11/5 What is (-3)/((-24)/20) + ((-220)/(-154))/(30/168)? 21/2 Evaluate (-340 + 5)*(10 - (-153)/(-15)). 67 What is the value of -93*(-62)/93 - (-38 + 1)? 99 (((-147)/4998)/(4/(-68)))/((-341)/(-110)) 5/31 (-12)/(-48) - -6*(-319)/(-792) 8/3 Calculate 501/(-4)*245/5145 + (-14)/49. -25/4 (1 - (-183)/(-312)) + 121 + 43876/(-364) 7/8 (-56)/(-16)*((-34)/85*(-1010)/56 - 6) 17/4 (-25 - -1)/(1764/(-2793)) 38 (-4)/32*11832/4437 -1/3 What is the value of 1 + -14 + 17 - 1/(((-34136)/(-8016))/17)? 2/251 (-4 - (-1770)/(-45))*(24/70)/(16/56) -52 What is the value of 1010/15 + (-795)/(-477) - 4? 65 Calculate 15/(-110) - 1882902/(-39116). 48 What is 600/(-1700) + (-8)/(-2)*4152/816? 20 (76/(-3))/(8/((-240)/(-1190)) + -35) -38/7 Evaluate ((-170)/595 - 17/14)/(3/78). -39 ((-14332)/7166)/((0 + 270)*(-2 + (-3)/(-2))) 2/135 What is the value of -33 - (-9 - 0)*11*3/(-33)? -42 (-80)/255*-34 - 2/3 10 What is ((-164)/(-10) - 9) + (-588)/(-637)*(-39)/6? 7/5 What is 1 + -1 + 21 + (-43 - -26)? 4 What is -2*(0 - -1) + (-1151 - -1161) - 34? -26 Evaluate 41 + (-6417)/155 + (-2 - 86/(-40)). -1/4 21*(43/1075)/(8/200) 21 Calculate ((-12740)/117)/(-4) + (7/1 - 585/81). 27 Calculate 1 + 99/(-55) + (39348/(-12240) - 4/(-1)). -1/68 What is (-89301)/(-2142) - 40 - 2*1/(12/(-1))? 13/7 What is ((-35)/(-10) - 5)*(8 + -8 + 2)? -3 Calculate 1404/2574*(-18)/36. -3/11 Calculate (2 - 1)/(408968/(-7412) - (-9)/51). -1/55 What is the value of -202 - -238 - (0 + (-5310)/(-165))? 42/11 What is (1322/(-661))/(6/(
{ "pile_set_name": "DM Mathematics" }
ing order. 5, 1, 6/7, 0.4, 0.2 Sort 105/31, -2, 2/3 in increasing order. -2, 2/3, 105/31 Put 25, -0.02, 2, 1, -0.4 in ascending order. -0.4, -0.02, 1, 2, 25 Put 0.2, -181, -2/5, 1/7, -2 in descending order. 0.2, 1/7, -2/5, -2, -181 Sort 2, -3, 215 in descending order. 215, 2, -3 Put 0, 57, -5 in descending order. 57, 0, -5 Sort 1, -5, -3, -7 in ascending order. -7, -5, -3, 1 Sort 5, 2, -0.4, -8/7 in decreasing order. 5, 2, -0.4, -8/7 Put -1/3, 519, 1 in descending order. 519, 1, -1/3 Put -2, 2/9, 12 in decreasing order. 12, 2/9, -2 Sort 5, 1, 0, -5. -5, 0, 1, 5 Put 2/169, 3, -12 in descending order. 3, 2/169, -12 Sort -5, -0.4, 0.08. -5, -0.4, 0.08 Put -46, -4, 3, 0 in increasing order. -46, -4, 0, 3 Sort -640, -1, 0 in ascending order. -640, -1, 0 Put -4, 2, -14/9 in increasing order. -4, -14/9, 2 Sort 0.3, -2, -2/15, 49, -3. -3, -2, -2/15, 0.3, 49 Sort -5, -3, -46 in increasing order. -46, -5, -3 Put -6, -5, 792 in descending order. 792, -5, -6 Put 4, 12, -14 in increasing order. -14, 4, 12 Sort -0.4, 210, 1/70 in increasing order. -0.4, 1/70, 210 Sort -1/3, 14, -5 in decreasing order. 14, -1/3, -5 Put -2.8, 0.035, -1/9, -2 in decreasing order. 0.035, -1/9, -2, -2.8 Put 5, -4, -13, 4 in decreasing order. 5, 4, -4, -13 Sort 2/5, -0.4, -0.3, -0.12, 1 in decreasing order. 1, 2/5, -0.12, -0.3, -0.4 Sort -4, -10, 15 in decreasing order. 15, -4, -10 Sort 0, -0.7, 1, -2/7, -1/4 in increasing order. -0.7, -2/7, -1/4, 0, 1 Put 32, -3, -1, 4, -5 in decreasing order. 32, 4, -1, -3, -5 Sort 31, 0.4, -1/6, 0.3 in decreasing order. 31, 0.4, 0.3, -1/6 Sort -28, -5, -2 in ascending order. -28, -5, -2 Put 0.4, 7, 5, -2/15 in decreasing order. 7, 5, 0.4, -2/15 Put 1, -4, -69, -1 in decreasing order. 1, -1, -4, -69 Put 5, -106, 2/7, -5 in decreasing order. 5, 2/7, -5, -106 Put 11, 4, 95, 0 in ascending order. 0, 4, 11, 95 Sort 702, 1, -0.1, 4 in decreasing order. 702, 4, 1, -0.1 Sort 5, -10, 7, -3, 0 in decreasing order. 7, 5, 0, -3, -10 Sort -3.1, 1, -5/21 in increasing order. -3.1, -5/21, 1 Sort 13, 5, -4 in descending order. 13, 5, -4 Sort -2/13, 4, 2/43, -5 in increasing order. -5, -2/13, 2/43, 4 Sort 5, -159, 2/25, 4 in increasing order. -159, 2/25, 4, 5 Sort 0.4, 41, -2, -4, 0.1 in increasing order. -4, -2, 0.1, 0.4, 41 Put -4, 1, -595 in ascending order. -595, -4, 1 Sort 62, -1, 3 in descending order. 62, 3, -1 Sort 2, -22, -45 in increasing order. -45, -22, 2 Sort -1, -5, 2, -132 in decreasing order. 2, -1, -5, -132 Put -4, -3, 7 in decreasing order. 7, -3, -4 Put -90, 3, 1, -1 in increasing order. -90, -1, 1, 3 Sort -8, -109, 1 in descending order. 1, -8, -109 Put -3, 7, -4, 5 in descending order. 7, 5, -3, -4 Put 5, 0.5, -2/5, -0.5 in ascending order. -0.5, -2/5, 0.5, 5 Sort -4, 5, -783 in descending order. 5, -4, -783 Sort 8, -0.2, 0.2 in descending order. 8, 0.2, -0.2 Put -37, -1, -4 in ascending order. -37, -4, -1 Put -3, -72, -1 in descending order. -1, -3, -72 Put 0, -9, 5, -195 in increasing order. -195, -9, 0, 5 Put 0, -6, 1/6, 2/9 in increasing order. -6, 0, 1/6, 2/9 Put 4, 2, -4, 0, 49 in increasing order. -4, 0, 2, 4, 49 Sort 3, 4, -5, 95. -5, 3, 4, 95 Sort 1, 5, 35, 3, 16 in decreasing order. 35, 16, 5, 3, 1 Sort 0, 3/14, 2/11, -0.3, 4 in decreasing order. 4, 3/14, 2/11, 0, -0.3 Sort -1/15, 2, -7 in descending order. 2, -1/15, -7 Sort 1, -6, -13, 3. -13, -6, 1, 3 Put 3, 0.27, 1 in descending order. 3, 1, 0.27 Put 5, 44, 7 in increasing order. 5, 7, 44 Put 1, -4, -2, 0 in descending order. 1, 0, -2, -4 Put 5, -4, 0, -29 in decreasing order. 5, 0, -4, -29 Put -249, -2/13, -0.3 in decreasing order. -2/13, -0.3, -249 Sort 1, 4, -170 in decreasing order. 4, 1, -170 Put -31, 2, -23 in ascending order. -31, -23, 2 Put -83, 4, 5 in ascending order. -83, 4, 5 Sort 1, 5, 0, -3. -3, 0, 1, 5 Put -15, -1, -0.16, -0.2, -1/2 in increasing order. -15, -1, -1/2, -0.2, -0.16 Sort 156, -0.1, -0.3 in decreasing order. 156, -0.1, -0.3 Put -5, 1/4, 0.4, 5 in descending order. 5, 0.4, 1/4, -5 Sort 4, -34, -1, -2, -5 in increasing order. -34, -5, -2, -1, 4 Sort -4, 2, -6, 4 in increasing order. -6, -4, 2, 4 Put -34, -1/3, 26 in descending order. 26, -1/3, -34 Put 3, -3, 4, -4 in decreasing order. 4, 3, -3, -4 Sort -130, -0.2, 1/3 in descending order. 1/3, -0.2, -130 Sort 2, 20, -12, -2. -12, -2, 2, 20 Sort 1, -790, -1 in descending order. 1, -1, -790 Put 6, -137, 0, 4 in ascending order. -137, 0, 4, 6 Put 5, 150, 4 in increasing order. 4, 5, 150 Sort 2, 11, -2 in decreasing order. 11, 2, -2 Put -3, -16, 6, 1 in decreasing order. 6, 1, -3, -16 Put 36/7, -3, 2 in increasing order. -3, 2, 36/7 Sort -3, -1, 7, -10 in descending order. 7, -1, -3, -10 Put 1/7, -1/7, -98 in ascending order. -98, -1/7, 1/7 Sort 3, 4, 2, 12, 5. 2, 3, 4, 5, 12 Put -43, -5, -6 in descending order. -5, -6, -43 Put 3, -5, 2/15, -22, -3/7 in increasing order. -22, -5, -3/7, 2/15, 3 Sort 4, -4, -16. -16, -4, 4 Put -4, -19, -1, 5 in increasing order. -19, -4, -1, 5 Put 0, -261, 5 in descending order. 5, 0, -261 Put -24, 0.3, 0.4, -1, 2/3 in decreasing order. 2/3, 0.4, 0.3, -1, -24 Put 7, 14, 3 in descending order. 14, 7, 3 Sort 10, -0.5, 117/2. -0.5, 10, 117/2 Sort 8.1, -0.6, -5 in ascending order. -5, -0.6, 8.1 Put 2/5, -1/2, -3, 747 in increasing order. -3, -1/2, 2/5, 747 Sort 6, 1/33, -4/9. -4/9, 1/33, 6 Sort -3, -15, -5 in increasing order. -15, -5, -3 Sort 2/13, 0.3, -6/11. -6/11, 2/13, 0.3 Sort 23, 0, -3, 1 in descending order. 23, 1, 0, -3 Put -5, -1, -2, 62 in ascending order. -5, -2, -1, 62 Sort 1/3, 0.13, -3 in ascending order. -3, 0.13, 1/3 Sort 2/3, -1, -3/4, -106, 2 in increasing order. -106, -1, -3/4, 2/3, 2 Put -4/3, 5, 2/9, -13 in ascending order. -13, -4/3, 2/9, 5 Sort 12, -3, 5, -5 in ascending order. -5, -3, 5, 12 Sort -69, -5, -30. -69, -30, -5 Put 26, -3, 2 in descending order. 26, 2, -3 Sort 4, -14, 1, 0 in decreasing order. 4, 1, 0, -14 Sort -4, 65, -5, 5 in descending order. 65, 5, -4, -5 Sort -4, 19/4, 5, -3, 0.1. -4, -3, 0.1, 19/4, 5 Put -1482, -2, 1/5 in descending order. 1/5, -2, -1482 Put -4, -3, -2, 2/77 in increasing order. -4, -3, -2, 2/77 Sort 6, -8, -3 in decreasing order. 6, -3, -8 Sort 0, -0.4, -0.53 in ascending order. -0.53, -0.4, 0 Put 2, 25, -11, -3, 0 in increasing order. -11, -3, 0, 2, 25 Put -7, 5, 3, 1, 119 in decreasing order. 119, 5, 3, 1, -7 Sort 0, 1, 5, -46. -46, 0, 1, 5 Put 0.5, -4, 3, -2.1 in descending order. 3, 0.5, -2.1, -4 Sort -0.4, -38, 5, -3/7 in ascending order. -38, -3/7, -0.4, 5 Sort -3/5, -2/41, -0.5, 5, 1.2 in descending order. 5, 1.2, -2/41, -0.5, -3/5 Sort -2/3, 1/8, 0.21, 0.5, -3/5 in increasing order. -2/3, -3/5, 1/8, 0.21, 0.5 Sort 46, 0, 1, 4 in descending order. 46, 4, 1, 0 Sort 4, 31, -99 in descending order. 31, 4, -99 Sort -8, -2, 5, 2, 23 in descending order. 23, 5, 2, -2, -8 Put -1, -4.1, 1/2, 0, -2 in descending order. 1/2, 0, -1, -2, -4.1 Put 8, 6, -3, 4 in ascending order. -3, 4, 6, 8 Put -1/9, -4, -11, 2/3, -1 in descending order. 2/3, -1/9, -1, -4, -11 Sort 2, -1/26, 0.1, -2/11 in ascending order. -2/11, -1/26, 0.1, 2 Put -16, 17, -20 in decreasing order. 17, -16, -20 Sort -3, -5, 1, -16, 4/13. -16, -5, -3, 4/13, 1 Sort 0.5, -5, 2/241. -5, 2/241, 0.5 Sort 92, 24, 5, 3 in descending order. 92, 24, 5, 3 Sort -9, 4, -3, 9 in increasing order. -9, -3, 4, 9 Sort 3, 67, -4 in decreasing order. 67, 3, -4 Sort -4, -284.6, 1/4. -284.6, -4, 1/4 Sort -3/5, 1/246, -2, -0.4, 0.06. -2, -3/5, -0.4, 1/246, 0.06 Sort 22, -2, 0 in descending order. 22, 0, -2 Sort 0.2, -4, 0.1, -39 in decreasing order. 0.2, 0.1, -4, -39 Sort 5, -2, -7, 2 in descending order. 5, 2, -2, -7 Sort -0.4, -9, -4. -9, -4, -0.4 Sort 1, 4, -20, 5 in decreasing order. 5, 4, 1, -20 Sort -2, -48, 15 in descending order. 15, -2, -48 Sort 0, -2, 440, -5 in descending order. 440, 0, -2, -5 Put -3, 3, 55 in increasing order. -3, 3, 55 Sort 5, 15, -5 in descending order. 15, 5, -5 Sort 15, -33, -4, -3 in decreasing order. 15, -3, -4, -33 Sort -6, 24, -4 in descending order. 24, -4, -6 Sort 58, 4, -3/7 in descending order. 58, 4, -3/7 Sort -2/13, -1642, 4 in decreasing order. 4, -2/13, -1642 Sort -3, -377, 2 in increasing order. -377, -3, 2 Sort -12, -3, 7 in ascending order. -12, -3, 7 Sort 2, 192, 5, 4. 2, 4, 5, 192 Sort 0, 49, 5, 8 in decreasing order. 49, 8, 5,
{ "pile_set_name": "DM Mathematics" }
is g(v(m))? 8*m**2 Let t(j) = -2*j. Let d(y) = 22591*y**2. Determine t(d(z)). -45182*z**2 Let a(x) = -14*x. Let n(y) = -70*y - 70*y + 139*y. Let q(t) = -5*a(t) + 60*n(t). Let d(l) = -l. What is d(q(k))? -10*k Let u(m) = -2*m. Let o(n) = 67*n**2 + n + 104. What is u(o(t))? -134*t**2 - 2*t - 208 Let l(m) be the third derivative of -353*m**4/24 - 144*m**2. Let o(i) = -i**2. What is o(l(r))? -124609*r**2 Let a(f) = -132 + 4*f**2 + 0*f**2 + 264 - 131. Let b(z) = z. What is b(a(v))? 4*v**2 + 1 Let o(b) = -6*b**2 - 20*b**2 + 23*b**2 - 4*b**2 - 16*b**2. Let l(y) = 17*y**2. Calculate o(l(j)). -6647*j**4 Let r(b) be the first derivative of -2*b**3 + 228. Let j(z) = -19*z - 2. What is r(j(c))? -2166*c**2 - 456*c - 24 Suppose -1358 = -0*w - 3*w - 4*p, -2*w + 5*p + 867 = 0. Let q(h) = -446 + 3*h + w. Let z(g) = -9*g. Determine q(z(f)). -27*f Suppose 3*z - 4 - 5 = 0. Let c(w) = 1. Let y(j) = 2*j - 3. Let v(h) = z*c(h) + y(h). Let g(a) = -14*a**2. Determine g(v(l)). -56*l**2 Let q(l) be the third derivative of -5*l**4/24 - l**2 - 102*l. Let m(b) be the second derivative of 5*b**4/12 - 4*b. Give m(q(i)). 125*i**2 Let g(j) = 4 + j**2 - 4 + 3*j**2. Let b(d) be the second derivative of 13*d**3/6 - 25*d + 1. What is b(g(m))? 52*m**2 Suppose -6*g + 2*g - 108 = -3*d, -g - 3 = 0. Suppose 6*x - 47 - 145 = 0. Let p(a) = d + 10*a - x. Let f(q) = q**2. What is p(f(k))? 10*k**2 Suppose -5*y - 40 = -5*f, -3*y + 8 = 4*f + y. Let k be 2*-1*(-3)/3. Let m(h) = f + k*h - 5. Let w(o) = 7*o**2. Calculate m(w(n)). 14*n**2 Let a(r) = 2*r. Let p(j) = -2*j. Let o(n) = -1. Let f(h) = -2*h - 11. Let c(w) = -6*f(w) + 66*o(w). Let b(d) = -2*c(d) - 10*p(d). What is b(a(q))? -8*q Let z(s) = s + 15970. Let l(j) = -3*j. Give z(l(m)). -3*m + 15970 Let x(l) = -31*l**2 - 27*l**2 + 61*l**2. Let b(o) = 7*o**2. Calculate x(b(t)). 147*t**4 Let v(c) = 638*c. Let n(g) = -2*g - 7*g - 2*g + 6*g + 4*g. Calculate n(v(t)). -638*t Let v(w) = 2*w + 782648. Let h(f) = f. Give h(v(t)). 2*t + 782648 Let q(a) = 44*a**2. Suppose 3*w + z = 1, 0 = -2*w + 4*z - z + 8. Let c(b) = -4 - b + w + 3. Calculate c(q(k)). -44*k**2 Let p(g) = -233*g. Let y(j) = 21*j. Give p(y(d)). -4893*d Let x(h) = 2*h. Let k(n) = -34*n - 11. Let z be -6 - 0/2 - -2. Let l(c) = 7*c + 2. Let q(a) = z*k(a) - 22*l(a). What is x(q(f))? -36*f Let g(c) = c + 3. Let k(y) = -2. Let t(p) = -2*g(p) - 3*k(p). Let u(i) = i - 8*i - 7*i. Give u(t(w)). 28*w Let n(p) = -p**2. Let t(o) = 2*o - 2*o + 525584*o**2 - 525374*o**2. Give n(t(i)). -44100*i**4 Let n(a) be the first derivative of -4 + 0*a + 0*a**2 + 1/3*a**3. Let b(y) = 0*y - 6*y - 3*y. Determine b(n(f)). -9*f**2 Let c(b) = b + 3*b - 6*b + 3*b. Let x(g) be the third derivative of -g**5/20 - 2*g**3/3 + 4*g**2. Let f(d) be the first derivative of x(d). Determine c(f(j)). -6*j Let m = -30 - -79. Let x(c) = -48*c**2 - m*c**2 + 95*c**2. Let b(z) = 34*z**2. What is x(b(i))? -2312*i**4 Let g(v) = 4*v**2 + 11*v - 14. Let a be g(7). Let u(o) = 5*o - 2*o - a + 259. Let k(s) = 3*s**2. Determine u(k(l)). 9*l**2 Let s(u) = -1347*u. Let c(h) = 6*h**2 + 152. What is c(s(y))? 10886454*y**2 + 152 Let b(r) = -697*r - 1 - 19*r**2 + 1 + 697*r. Let o(p) = -5*p**2. Determine o(b(q)). -1805*q**4 Let p(s) = 6*s. Let m(c) = 12 + 4 - 5*c - 16. Let v(a) = 2*m(a) + 3*p(a). Let y(r) = -2*r**2. Give v(y(w)). -16*w**2 Let c(r) = -423*r. Let s(x) = -1556*x**2. Determine c(s(b)). 658188*b**2 Let k(f) = -315*f**2 + 66*f. Let p(l) = 3*l. Calculate k(p(r)). -2835*r**2 + 198*r Let k(d) = d**2. Suppose -2*l + 3*x = -3*l + 23, 3*l - 3*x - 21 = 0. Let b = l + -9. Let q(v) = -4*v + v**b + 4*v. What is k(q(t))? t**4 Let k(o) = 4*o**2 + 2*o. Let q(j) be the first derivative of j**3/3 + 74. What is k(q(c))? 4*c**4 + 2*c**2 Let v(x) = -3*x + 8. Let c(k) = -13*k - 16. Let o(n) = -c(n) - 2*v(n). Let b(z) be the first derivative of -z**2 - 1. Calculate o(b(l)). -38*l Let v(t) = -3*t. Let x(f) = 27*f + 3*f - 34*f + 32*f. What is x(v(r))? -84*r Let j(n) = -5*n**2. Suppose -2*x - 20 = 3*x. Let v(z) = z. Let l(b) = -b - 10 - 4 + 0*b + 14. Let k(c) = x*v(c) - l(c). Determine k(j(q)). 15*q**2 Let q(h) = 276*h**2. Let i(m) = -1779*m**2. What is q(i(x))? 873496116*x**4 Let t(o) = 5*o + 6. Let j(s) = -4*s - 2. Let z(x) = 3*j(x) + t(x). Let y(f) = 3*f. Determine z(y(n)). -21*n Let n = -78 + 83. Let f(g) = -4*g**2 - 5*g - 5. Let r(l) = -2*l**2 - 2*l - 2. Let p(a) = n*r(a) - 2*f(a). Let o(x) = 21*x. Calculate p(o(h)). -882*h**2 Let b(j) = -12*j + 5. Let o(q) = 2*q**2 - 364. What is b(o(l))? -24*l**2 + 4373 Let u(h) = 2*h**2. Let m(c) = -c**2 + c + 1. Let b(y) = -3*y**2 - 6*y - 13. Let w(t) = b(t) - 4*m(t). Let s be w(12). Let j(o) = -s + 2*o + 7. What is u(j(z))? 8*z**2 Let m(k) = -174294*k. Let l(d) = -d + 8. Calculate l(m(c)). 174294*c + 8 Let b(h) = -105*h**2. Let k(n) = -4*n + 0*n + 5*n - 3*n. Determine b(k(m)). -420*m**2 Let g(q) = -q**2. Let b(z) = 18*z**2 + 4*z. Let f(v) = 17*v**2 + 3*v. Let r(n) = 3*b(n) - 4*f(n). What is r(g(j))? -14*j**4 Let s(v) = -582*v**2. Let m(p) = 17*p**2. Calculate s(m(f)). -168198*f**4 Let d(b) = -5*b**2. Let n(i) = 93*i + 35. What is d(n(y))? -43245*y**2 - 32550*y - 6125 Let y = 12 + -10. Let s(x) = -4*x**y + 9*x**2 + 0 + 0. Let t(h) be the first derivative of -h**2/2 + 7. Calculate s(t(z)). 5*z**2 Let k(a) = -115*a**2 + a. Let t(b) = -49*b - 6. Let f(j) = -41*j - 5. Let y(p) = 6*f(p) - 5*t(p). Calculate y(k(q)). 115*q**2 - q Let j(q) be the first derivative of -3*q**2 - q - 60. Let k(i) = -4*i. Determine j(k(s)). 24*s - 1 Let r(m) = -73*m + 17. Let s(c) = 2*c. Determine r(s(k)). -146*k + 17 Let i(s) be the second derivative of -9*s**3/2 + 9*s**2/2 + 5*s. Let n be i(-4). Let h(z) = -n - 28*z + 117. Let w(b) = -2*b**2. Determine w(h(c)). -1568*c**2 Let n(u) = -368*u. Let a(d) = -208*d**2. Calculate a(n(w)). -28168192*w**2 Let l(i) = 335*i**2. Let x(a) = a**2 - 496*a. What is x(l(m))? 112225*m**4 - 166160*m**2 Let j(l) = 168*l**2 + 49*l. Let r(d) = -7*d**2 - 2*d. Let k(h) = -4*j(h) - 98*r(h). Let u(c) = -7*c. Give u(k(o)). -98*o**2 Let f(p) = 9*p**2. Let t(u) = -3*u**2 + 316*u + 14. Determine t(f(n)). -243*n**4 + 2844*n**2 + 14 Let c(k) be the third derivative of 0 + 0*k + 1/24*k**4 + 0*k**3 - 9*k**2. Let b(p) = -21*p. Give b(c(m)). -21*m Let q(u) = u**2. Let s(m) = -11*m - 26. Let c(g) = 3*g + 8. Let k(v) = 11*c(v) + 4*s(v). Give q(k(l)). 121*l**2 + 352*l + 256 Let v(x) = 7*x - 6. Let j(i) = -6*i + 5. Let y(c) = -6*j(c) - 5*v(c). Let u(w) be the second derivative of 0 - 5/6*w**3 + w + 0*w**2. Determine u(y(q)). -5*q Suppose -u - 31 = -2*y - 3*y, -1 = -u - 3*y. Let f = -8 - u. Let n(c) = -3*c + f*c + 5*c - 2*c. Let h(w) = -4*w**2. What is h(n(k))? -36*k**2 Let k(p) be the second derivative of p**4/12 - 2*p + 172. Let t(v) = -1 + 1 + 21*v. What is t(k(q))? 21*q**2 Let j(z) = 2*z**2. Let v(d) = 89*d - 225*d - 127*d. Determine j(v(o)). 138338*o**2 Let q(u) = 12*u**2. Let k(r) = -11*r**2 + 2*r - 3. Let n(c) = 39*c**2 - 7*c + 8. Let i(d) = -7*k(d) - 2*n(d). Calculate q(i(o)). 12*o**4 - 120*o**2 + 300 Let a(y) = 762*y**2. Let g(u) = -2*u**2. Give a(g(m)). 3048*m**4 Let u(s) = -2*s**2. Let f(v) be the first derivative of -4*v - 1/3*v**3 + 4 + 0*v**2. Let w(o) be the first derivative of f(o). Give u(w(k)). -8*k**2 Let z(n) = -8*n**2 + 9*n + 6. Let j(w) = -152*w**2 + 168*w + 112. Let f(l) = -6*j(l) + 112*z(l). Let p(g) = 36*g**2. What is p(f(a))? 9216*a**4 Suppose 8*o - 5*o = 18. Let j(z) = -o + 3 - z**2 - 6 + 3*z**2. Let b(f) = -2*f. What is b(j(y))? -4*y**2 + 18 Let v(m) = -20*m. Let p(r) be the third derivative of 0*r**3 - 1/12*r**4 + 0*r - 14*r**2 + 0. Determine p(v(u)). 40*u Let z(l) = -99*l**2. Let t(y) = 10*y - 6. Calculate z(t(x)). -9900*x**2 + 11880*x - 3564 Let n(j) = j**2 + 8*j + 2. Let q be n(-8). Let t(h) = -q*h - 4*h + 0*h - 9*h. Let k(l) = 3 - 3 - 2*l. Determine t(k(g)). 30*g Let x(n) = -3*n**2. Let i(b) = 11*b**2 + 2*b - 2. Let s(l) = 22*l**2 + 4*l - 5. Let y(r) = 5*i(r) - 2*s(r). Calculate y(x(m)). 99*m**4 - 6*m**2 Let u(y) = -2*y**2. Let c(n) = -942*n**2 + 1229*n**2 + 0 + 0. What is c(u(h))? 1148*h**4 Let i(n) = -2*n**2 + 5*n**2 - 3*n**2 + 3*n**2. Let q(h) = 10*h**2 + 3. Determine i(q(p)). 300*p**4 + 180*p**2 + 27 Let g(q) = 230*q. Let p(s) = -891*s. Give p(g(i)). -204930*i Let u(t) = -5*t**2 + 35. Let d(a) = 1.
{ "pile_set_name": "DM Mathematics" }
tive of 0*p**3 - 1/12*p**4 + 0*p**5 + 0*p**6 + 0 + 1/105*p**7 + 0*p + p**2. Find the second derivative of m(n) wrt n. 24*n**2 Let j be (4 + -3)/((-3)/(-9)). What is the third derivative of -2*n**j + 5*n**2 - n**2 + n**2 + 0*n**3 wrt n? -12 Let s(p) be the second derivative of p**7/840 - p**5/30 - p**3 + 7*p. Let j(v) be the second derivative of s(v). What is the second derivative of j(b) wrt b? 6*b Suppose 5*v - 4*s = 4*v - 11, -5*v - 3*s + 14 = 0. Suppose -2*z + 5 - v = 0. Find the first derivative of -5*n**2 + n**2 + z + 3*n**2 wrt n. -2*n Let l(k) = k - 1. Let m(s) be the second derivative of 2*s**3/3 - 3*s**2/2 + 2*s. Let f(n) = l(n) - m(n). Differentiate f(u) with respect to u. -3 Let n(z) = 55*z**3 + 50*z**2 - 7*z. Let a(j) = 27*j**3 + 25*j**2 - 3*j. Let w(h) = -7*a(h) + 3*n(h). Find the third derivative of w(l) wrt l. -144 Let o(f) be the first derivative of 28*f**3/3 - 13*f**2 - 18. What is the second derivative of o(i) wrt i? 56 Let g be 2/(-8) - (-33)/4. Suppose 2*a - 4*a = -g. What is the first derivative of 5 - 4 + o**3 - a*o**3 wrt o? -9*o**2 Let r be -2 + 11 - (-2)/2. Let m = r + -6. Find the first derivative of 2 - m*b**4 + 2*b**4 + 0*b**4 wrt b. -8*b**3 Let c(y) be the second derivative of 13*y**5/5 - y**2/2 + 40*y. Differentiate c(f) wrt f. 156*f**2 What is the third derivative of 16*v**6 + 10*v**2 + 1 + v**5 - 18*v**6 + v**5 wrt v? -240*v**3 + 120*v**2 Let b = 19 - 14. Differentiate -3 - b*f - 2 - 2 + 4 wrt f. -5 What is the third derivative of 9*w**3 + 8*w - 8*w - 2*w**2 wrt w? 54 Let n = -36 + 38. Let z be (6/(-4))/((-3)/16). Find the second derivative of -n*x + z*x + 4*x**2 - 5*x wrt x. 8 Suppose 5*o - 101 = 44. Suppose t - 3*t - 4 = 3*p, -5*t - o = -2*p. What is the second derivative of -p*i**3 + 0*i**3 + 5*i**3 + 2*i wrt i? 18*i Let i(p) be the second derivative of p**9/1680 - 7*p**6/720 + 7*p**4/12 + p. Let f(o) be the third derivative of i(o). Find the second derivative of f(d) wrt d. 108*d**2 Let k(h) = -3*h - 1. Let t(m) = m. Let s = -6 - -9. Suppose 0 = s*g - 16 + 4. Let q(b) = g*t(b) + k(b). What is the first derivative of q(o) wrt o? 1 Let k = -25 - -20. Let i(d) = -5*d - 4. Let f be (2 - 4)*1/(-1). Let r(m) = -11*m - 9. Let l(s) = f*r(s) + k*i(s). What is the derivative of l(n) wrt n? 3 Let p(s) = 3*s**3 - 2*s + 1. Let v(x) = -x + 1. Let a(o) = p(o) - 2*v(o). Find the first derivative of a(l) wrt l. 9*l**2 Let o(s) be the second derivative of 0*s**2 - 1/6*s**3 + 0*s**4 + 0 + 0*s**5 - 1/6*s**6 + s. What is the second derivative of o(d) wrt d? -60*d**2 Let i(k) be the first derivative of 5/2*k**2 - k**3 + 0*k + 2. What is the second derivative of i(l) wrt l? -6 Let g be 8/5 + 8/20. What is the third derivative of q - g*q**4 - q - 3*q**2 + 6*q**4 wrt q? 96*q Let u(k) be the first derivative of 29*k**7/7 - 8*k**3 + 8. What is the third derivative of u(g) wrt g? 3480*g**3 Let f = -18 + 25. Let h = 10 - f. What is the second derivative of 0*k + h*k**2 - 2*k + 4*k wrt k? 6 Let n(v) be the first derivative of v**5 + 13*v**3/3 - 17. Find the third derivative of n(k) wrt k. 120*k Let k(h) = -105*h + 92. Let b(f) = -53*f + 46. Let q(s) = -5*b(s) + 2*k(s). What is the first derivative of q(w) wrt w? 55 Let u = 14 + -7. Find the third derivative of -3 + 3 + 2*c**2 + u*c**3 + 0*c**2 wrt c. 42 Let o(d) be the second derivative of d**7/1260 + d**5/15 - 7*d**4/12 - 8*d. Let i(q) be the third derivative of o(q). What is the derivative of i(j) wrt j? 4*j Find the third derivative of -3*k**4 + 10*k**4 - 11*k**2 - 5*k**4 - 12*k**4 wrt k. -240*k Let n(p) be the first derivative of -1/4*p**4 + 0*p**3 + 0*p**2 + 4 + 3*p. Find the first derivative of n(d) wrt d. -3*d**2 Let j(u) = -4*u**4 + 4*u**2 - 12*u + 55. Let q(k) = 5*k**4 - 6*k**2 + 12*k - 55. Let c(l) = 3*j(l) + 2*q(l). Differentiate c(a) wrt a. -8*a**3 - 12 Let p(n) be the second derivative of 0*n**5 + 0*n**2 + 0*n**3 + 0 + 1/10*n**6 + 5/12*n**4 - 3*n. What is the third derivative of p(j) wrt j? 72*j Let o(z) = 5*z**3 + 4*z**2 - 4*z - 2. Let h(g) = -6*g**3 - 3*g**2 + 3*g + 2. Let b(c) = -4*h(c) - 3*o(c). Find the first derivative of b(w) wrt w. 27*w**2 Let n(l) be the second derivative of 3*l**3/2 + 7*l**2/2 + 2*l. What is the derivative of n(s) wrt s? 9 Let b(a) be the third derivative of 11*a**7/210 + a**3/2 + 27*a**2. What is the derivative of b(f) wrt f? 44*f**3 Let c = 10 + -7. Suppose c*u = 5 + 1. What is the second derivative of 5*g**5 - u*g**5 - 2*g**5 + 0*g - 4*g wrt g? 20*g**3 Suppose 3*q - 54 = 2*j, 5*q = -4*j + 3*j + 90. What is the third derivative of -18*a**3 - 3*a**4 + q*a**3 - 3*a**2 wrt a? -72*a Let n(p) be the third derivative of -2*p**2 + 0*p - 2/3*p**3 + 0*p**6 + 0 + 0*p**4 - 2/105*p**7 + 0*p**5. Differentiate n(o) with respect to o. -16*o**3 Suppose v + d = -4*d - 10, 0 = -4*v - 5*d + 5. What is the second derivative of 0*w**5 + v*w - 2*w**5 + w**5 wrt w? -20*w**3 Let f(l) = -l**2 + 6*l - 1. Let w be f(5). Suppose -7*y + 16 = -2*y + 3*m, -w = 3*y - 5*m. Find the second derivative of -2 + 2 + 0*v**4 + v**4 - y*v wrt v. 12*v**2 Let o(f) be the first derivative of -f**8/112 + f**4/6 - f**2/2 - 4. Let x(w) be the second derivative of o(w). Find the second derivative of x(z) wrt z. -60*z**3 Let k(j) be the second derivative of 17*j**8/28 + 5*j**4/4 - 34*j. Find the third derivative of k(r) wrt r. 4080*r**3 Find the second derivative of -34*a**4 + 4*a - 7*a - 7*a**4 wrt a. -492*a**2 Let f be (-15)/5 - 1*-7. Find the second derivative of 5*w + 3*w**5 - 91*w**f + 91*w**4 wrt w. 60*w**3 Let x(h) be the first derivative of -4*h**6 - 11*h**2 + 31. Find the second derivative of x(s) wrt s. -480*s**3 Suppose 7 = -s - y + 29, -2*s = -5*y - 16. Suppose 0 = -2*d - 0*d + 4, -d = -5*z + s. Find the second derivative of -p**4 - z + 4 + p wrt p. -12*p**2 Suppose 3*h - 23 = -5*w, 4*h + 2*w - 11 = 15. Find the third derivative of 0*p**6 + p**2 + 5*p**6 - 2*p**h - 11*p**2 wrt p. 360*p**3 Let n(d) be the first derivative of 4*d**4 - 26*d - 20. Differentiate n(m) wrt m. 48*m**2 Let y(a) be the first derivative of -16*a**3/3 + 2*a + 22. What is the first derivative of y(o) wrt o? -32*o Let u be 1/(1/(9/3)). Let v = u + 0. Find the first derivative of 1 + 3 - 1 + v*y**3 wrt y. 9*y**2 Let a(g) = -8*g**3 + 5*g**2 - 5. Let n(o) = o**3 + 1. Let m(p) = -a(p) - 5*n(p). Find the third derivative of m(c) wrt c. 18 Suppose -2*f - 17 = -3. Let n = f - -17. Find the second derivative of -2*b - n*b**2 + 2*b**4 + 10*b**2 wrt b. 24*b**2 Let l be (-7)/(1 + 0/(-2)). Let d = l - -9. Differentiate 2*u + 5*u**d - 2 - 3*u + u with respect to u. 10*u Let c(j) = -3*j**2. Let u(n) = -n**3 - 3*n**2. Let g = 2 - 5. Let k(z) = g*u(z) + 4*c(z). Find the third derivative of k(y) wrt y. 18 Let g(s) be the third derivative of s**7/70 + 5*s**3/6 - 11*s**2. Differentiate g(u) wrt u. 12*u**3 Let h(n) = n. Let a(x) = -10*x**2 + 16*x. Let u(i) = a(i) - 4*h(i). What is the second derivative of u(c) wrt c? -20 What is the second derivative of -2*m - m**5 + 5*m + 3*m wrt m? -20*m**3 Suppose 6*a - 12 = 2*a. What is the second derivative of -3*h**5 - a*h - 13*h**3 + 13*h**3 wrt h? -60*h**3 Find the first derivative of 1 - 89*p - 73*p + 143*p wrt p. -19 Let z(v) = 3*v - 13. Let m be z(6). What is the third derivative of -6*f**2 + m*f - f + 3*f**5 - 4*f wrt f? 180*f**2 Let x(o) be the third derivative of -7*o**6/120 - 23*o**4/24 - 3*o**2. Find the second derivative of x(r) wrt r. -42*r Let g(w) = -36*w**4 + 3*w**2 - 39*w - 3. Let u(r) = -72*r**4 + 7*r**2 - 78*r - 7. Let d(f) = 7*g(f) - 3*u(f). Find the second derivative of d(j) wrt j. -432*j**2 Differentiate -5*g**3 + 2*g**3 + 6 - g**3 - 4*g**3 wrt g. -24*g**2 Let i(w) be the second derivative of 0*w**2 + 1/15*w**6 + 0*w**3 - 2*w - 1/12*w**4 + 0*w**5 + 0. Find the third derivative of i(t) wrt t. 48*t Find the third derivative of 8*k**2 + 21*k**6 - 9*k**2 - 37*k + 45*k**6 - 13*k**6 wrt k. 6360*k**3 Suppose -4*a - 3 + 23 = 0. Find the second derivative of -2*z**a - 2*z + 3*z + 5*z**5 wrt z. 60*z**3 Find the second derivative of -43*n**2 + 4 + 2 - 5*n - 27*n**3 + 18*n**2 + 24*n**2 wrt n. -162*n - 2 Let i(w) be the third derivative of 11*w**7/210 + w**5/12 - 4*w**2. Let q(r) = r**4 + r**2. Let a(z) = i(z) - q(z). What is the third derivative of a(x) wrt x? 240*x Find the seco
{ "pile_set_name": "DM Mathematics" }
e remainder when 9128500 is divided by 1624? 1620 What is the remainder when 27695246 is divided by 16? 14 What is the remainder when 10681062 is divided by 322? 0 Calculate the remainder when 411744747 is divided by 3. 0 Calculate the remainder when 55938088 is divided by 4821. 25 Calculate the remainder when 59759679 is divided by 179. 171 Calculate the remainder when 264427 is divided by 2792. 1979 Calculate the remainder when 170977 is divided by 7413. 478 What is the remainder when 960782859 is divided by 184? 179 Calculate the remainder when 35833 is divided by 8903. 221 What is the remainder when 23199360 is divided by 278? 260 What is the remainder when 1481416 is divided by 51082? 38 What is the remainder when 1967529009 is divided by 87? 84 What is the remainder when 244158 is divided by 2753? 1894 What is the remainder when 469279 is divided by 1638? 811 Calculate the remainder when 1399402 is divided by 596. 590 What is the remainder when 13383 is divided by 6598? 187 Calculate the remainder when 47272277 is divided by 2994. 11 What is the remainder when 4019284 is divided by 1339314? 1342 Calculate the remainder when 61355 is divided by 64. 43 What is the remainder when 5919578 is divided by 1973188? 14 What is the remainder when 248774 is divided by 1658? 74 Calculate the remainder when 28643 is divided by 598. 537 What is the remainder when 126479 is divided by 12192? 4559 What is the remainder when 1219897949 is divided by 25? 24 What is the remainder when 3150916 is divided by 1050156? 448 What is the remainder when 3211207 is divided by 305? 167 What is the remainder when 3524169 is divided by 880988? 217 What is the remainder when 693342 is divided by 831? 288 What is the remainder when 261889 is divided by 52299? 394 Calculate the remainder when 20407972 is divided by 5287. 152 Calculate the remainder when 226748 is divided by 203. 200 Calculate the remainder when 8894606 is divided by 30. 26 What is the remainder when 215718284 is divided by 931? 929 Calculate the remainder when 786039 is divided by 261993. 60 What is the remainder when 3811726 is divided by 569? 564 Calculate the remainder when 495747 is divided by 70819. 14 What is the remainder when 136804 is divided by 8846? 4114 Calculate the remainder when 21803969 is divided by 77871. 89 What is the remainder when 1332283 is divided by 148002? 265 Calculate the remainder when 286655268 is divided by 8648. 12 What is the remainder when 3925692 is divided by 17? 1 What is the remainder when 25227 is divided by 2716? 783 What is the remainder when 746549 is divided by 3188? 557 What is the remainder when 103921 is divided by 17306? 85 Calculate the remainder when 19649703 is divided by 1706. 1701 Calculate the remainder when 1515988 is divided by 9132. 76 What is the remainder when 142220 is divided by 553? 99 What is the remainder when 75522253 is divided by 2288553? 4 What is the remainder when 937866 is divided by 1238? 700 What is the remainder when 171733 is divided by 34346? 3 Calculate the remainder when 3261288 is divided by 2308. 84 What is the remainder when 15339243 is divided by 62? 9 Calculate the remainder when 774988 is divided by 22793. 26 Calculate the remainder when 4154967 is divided by 207743. 107 Calculate the remainder when 112910 is divided by 588. 14 What is the remainder when 39259752 is divided by 205? 202 Calculate the remainder when 118031 is divided by 169. 69 What is the remainder when 13866456 is divided by 1234? 1232 Calculate the remainder when 524181697 is divided by 350. 347 Calculate the remainder when 5532589 is divided by 306. 109 What is the remainder when 63919604 is divided by 213? 8 Calculate the remainder when 134436 is divided by 637. 29 Calculate the remainder when 3783443 is divided by 168. 83 Calculate the remainder when 104104 is divided by 329. 140 What is the remainder when 253299 is divided by 190? 29 Calculate the remainder when 287620 is divided by 143347. 926 What is the remainder when 256287 is divided by 21355? 27 Calculate the remainder when 334323 is divided by 6161. 1629 Calculate the remainder when 4406154 is divided by 188. 186 Calculate the remainder when 245213 is divided by 81575. 488 Calculate the remainder when 54808 is divided by 13633. 276 Calculate the remainder when 554005 is divided by 1513. 247 Calculate the remainder when 17587957 is divided by 2931324. 13 What is the remainder when 288577 is divided by 7248? 5905 What is the remainder when 31733 is divided by 5733? 3068 Calculate the remainder when 393580 is divided by 177. 109 Calculate the remainder when 2074652 is divided by 9879. 62 What is the remainder when 4397458 is divided by 11572? 98 What is the remainder when 309920 is divided by 3775? 370 Calculate the remainder when 3730649 is divided by 2850. 2849 What is the remainder when 157487930 is divided by 213? 203 Calculate the remainder when 575568 is divided by 261. 63 Calculate the remainder when 9109970 is divided by 616. 562 Calculate the remainder when 18238515 is divided by 23. 21 Calculate the remainder when 2282508 is divided by 2099. 895 What is the remainder when 345451 is divided by 53? 50 What is the remainder when 36491 is divided by 18184? 123 Calculate the remainder when 118097 is divided by 327. 50 What is the remainder when 13268079 is divided by 83447? 6 Calculate the remainder when 1594462 is divided by 919. 916 What is the remainder when 499046 is divided by 3117? 326 What is the remainder when 294764 is divided by 1388? 508 Calculate the remainder when 4684599 is divided by 2342179. 241 What is the remainder when 188073 is divided by 3898? 969 Calculate the remainder when 12115918 is divided by 195418. 2 Calculate the remainder when 791775 is divided by 2802. 1611 Calculate the remainder when 2087455 is divided by 113. 6 What is the remainder when 119979 is divided by 84? 27 What is the remainder when 108071 is divided by 17110? 5411 What is the remainder when 41771924 is divided by 203? 5 Calculate the remainder when 5237831 is divided by 36. 11 Calculate the remainder when 4317439 is divided by 25. 14 What is the remainder when 4474990 is divided by 1746? 1738 Calculate the remainder when 908395 is divided by 600. 595 Calculate the remainder when 11850 is divided by 1914. 366 What is the remainder when 435682 is divided by 435584? 98 What is the remainder when 368546832 is divided by 3183? 3177 Calculate the remainder when 75067976 is divided by 394. 338 What is the remainder when 29474 is divided by 551? 271 What is the remainder when 191126 is divided by 180652? 10474 Calculate the remainder when 100839 is divided by 49462. 1915 What is the remainder when 870598 is divided by 189? 64 Calculate the remainder when 2144644 is divided by 436. 396 Calculate the remainder when 10572 is divided by 21. 9 What is the remainder when 11938 is divided by 384? 34 What is the remainder when 20087081 is divided by 62? 11 What is the remainder when 1534028 is divided by 383496? 44 What is the remainder when 365929 is divided by 658? 81 Calculate the remainder when 11139360 is divided by 238. 8 Calculate the remainder when 275848 is divided by 967. 253 What is the remainder when 74881 is divided by 37045? 791 What is the remainder when 582762 is divided by 44826? 24 What is the remainder when 10098769 is divided by 4624? 4577 What is the remainder when 216847690 is divided by 15? 10 Calculate the remainder when 2663722 is divided by 229. 223 Calculate the remainder when 634031893 is divided by 8. 5 Calculate the remainder when 14653989 is divided by 377. 376 Calculate the remainder when 5008901 is divided by 1001775. 26 Calculate the remainder when 1931633 is divided by 1228. 1217 What is the remainder when 715347 is divided by 20438? 17 Calculate the remainder when 305316 is divided by 4846. 18 Calculate the remainder when 164504 is divided by 17248. 9272 What is the remainder when 5878185 is divided by 534379? 16 Calculate the remainder when 58789273 is divided by 483. 445 Calculate the remainder when 26348384 is divided by 42090. 44 Calculate the remainder when 151853 is divided by 3347. 1238 What is the remainder when 74594 is divided by 3534? 380 Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
when t is divided by i? 9 What is the remainder when 249 is divided by 358/716*(147 + 1 + 2)? 24 Let d(x) = -6*x - 64. Let r be d(-11). Suppose -2*k = -8 - r, 3*k + 146 = m. Calculate the remainder when m is divided by 40. 1 Let m = -9906 - -10036. What is the remainder when 2341 is divided by m? 1 Suppose -10 = 10*g, -117*t - 2*g = -119*t + 132. What is the remainder when 395 is divided by t? 5 Suppose -k = i - 0 - 13 - 3, -7*i = 0. What is the remainder when 4907 is divided by k? 11 Let o(u) = -u**3 + 30*u**2 - 19*u - 65. Let q be o(29). Suppose 0 = 11*f - 17 - q. Suppose -2*y - 3 = -27. What is the remainder when f is divided by y? 10 Let p(w) = w**3 - 11*w**2 + 20*w + 2. Let q be p(9). Let k(u) = 11*u - 2. Calculate the remainder when (-1 - -3) + 548*5/q is divided by k(2). 19 Suppose 73199*c + 132 = 73203*c. What is the remainder when 256 is divided by c? 25 Suppose 23*k + 52*k - 393 - 57 = 0. What is the remainder when 2836 is divided by k? 4 Suppose -3*i = s + 3, 4*s - 2*i - i = 33. Let y be (33 - 35)*6*(-14)/8. Suppose -6*l - y = -105. What is the remainder when l is divided by s? 2 Suppose f = p - 2549, 0 = 160*p - 161*p - 4*f + 2574. Calculate the remainder when p is divided by 318. 10 Let k = 13494 + -13256. What is the remainder when k is divided by 64? 46 Suppose -4*r + 0*s + 46 = -2*s, -r + 22 = -4*s. Let p be (16/(-4))/(5/(r/4)). What is the remainder when 154*(-4)/(-16) + (-3)/p is divided by 6? 4 Let j = 3 + -9. Let i = j - -8. Suppose -88 = -5*o + 4*c, -4*o - i*c + 71 = -5*c. What is the remainder when 77 is divided by o? 17 Suppose -3*n = 4*b - 0*n + 26, -5*b - 5*n - 30 = 0. Let r be 358/b - 2/8. What is the remainder when (r/(-2))/((-6)/(-24)) is divided by 46? 44 Let w = 77879 + -77834. Suppose 2*t - y - 343 = 0, 4*t + 2*y - 3*y = 683. What is the remainder when t is divided by w? 35 Let v(r) = 2*r**3 + 4*r**2 + 5*r. Suppose -99 = -5*m - 3*c, m + m - 39 = -c. Calculate the remainder when v(3) is divided by m. 15 Suppose 405 = 3*r - 957. Suppose 50*w - 51*w = -r. Calculate the remainder when w is divided by 35. 34 Suppose 0 = 3*k - 43 - 26. Let w(b) = -b**2 + 16*b - 16. Let h be w(-8). Let p = -196 - h. What is the remainder when k is divided by p? 11 Suppose -3*h = -0*y - 5*y + 68, h = y - 22. Suppose 23 + 87 = 5*w. Calculate the remainder when w is divided by 14/(-1)*18/h. 10 Let v(d) = -25*d - 20. Let f(z) = 8*z + 7. Let l(r) = -17*f(r) - 6*v(r). Let n be l(-2). Let u = n + 52. Calculate the remainder when 74 is divided by u. 24 Suppose 9 = -p - 67. Let c = 124 + p. Suppose -4*v + 5*j = -96 + 38, -5*j + 10 = 0. Calculate the remainder when c is divided by v. 14 Let o be ((-91)/21 + 5)*-18. Calculate the remainder when 114 is divided by o/14 - 1368/(-28). 18 Suppose -47*p + 43*p + 3*l + 154 = 0, p = -3*l + 16. Calculate the remainder when 101 is divided by p. 33 What is the remainder when 4405 is divided by (-24)/(-21) + (-23316)/(-203)? 113 Suppose 3*c - 30*c + 280 + 3446 = 0. Calculate the remainder when c is divided by 119. 19 Suppose -180*b + 10348 = -9544 + 5672. What is the remainder when 173 is divided by b? 15 Suppose -i - 2*b = 2*b - 193, 0 = -5*i + 5*b + 915. Suppose -16*q - q = 1853. Let d = i + q. What is the remainder when d is divided by 8? 4 Let g = -121 + 98. Let z = g + 40. Calculate the remainder when 63 is divided by z. 12 Suppose 39*t - 37*t = -286. Let o = -61 - t. Calculate the remainder when o is divided by 22. 16 Let i be (-2)/3 + 28/6. Suppose 4*o + 4*h = 108, -5*o - i*h + 5*h = -129. What is the remainder when ((-1717)/(-68))/(27/12 + -2) is divided by o? 23 Suppose 0 = 41*u - 684 - 300. Let m(h) = 2*h**2 - 2*h - 19. Calculate the remainder when m(-7) is divided by u. 21 Let z = -8934 + 14525. What is the remainder when z is divided by 119? 117 What is the remainder when (-7384)/6*12*8/(-64) is divided by 11? 9 Let q = 74 + -37. Let o = 20 - 4. Suppose o*a - 71 = 9. Calculate the remainder when q is divided by a. 2 Suppose 2215 = 43*c - 3762. What is the remainder when 684 is divided by c? 128 Let m(z) = 2*z**3 + z + 8. Suppose 3*j - 11 = -4*r + 15, 20 = 2*j + 2*r. Let c be (-4)/j - 8/(-28). Calculate the remainder when 29 is divided by m(c). 5 Let b(l) be the first derivative of -3*l**4/4 - l**3 + 13*l**2/2 - 10*l + 118. What is the remainder when b(-6) is divided by 19? 15 Let l(v) = 13*v**3 + 98*v**2 - 59*v - 9. Calculate the remainder when 976 is divided by l(-8). 28 Let g(b) = -9*b - 9. Let l be g(-21). Let q = l + -170. Calculate the remainder when 157 is divided by q. 7 Let f = -94 + 98. Suppose 0 = 2*q + 4*o - 7*o - 48, 0 = f*o + 8. Let i = 35 - q. What is the remainder when 82 is divided by i? 12 Suppose b - 151 + 41 = -3*w, -8 = 4*w. Let n = -27 - -40. Calculate the remainder when b is divided by n. 12 Let q = 494 + -481. Suppose -14*n + q*n + 20 = 0. Calculate the remainder when n is divided by 20. 0 What is the remainder when (-168)/(-147) + -7 + (-752880)/(-35) is divided by 19? 16 Suppose -5*r = 7*r - 7440 + 2856. Calculate the remainder when r is divided by 64. 62 What is the remainder when ((-160322)/(-24) - -7) + -2 + (-230)/(-120) is divided by 14? 9 Suppose -5*l - 3*y = -l - 42, -5*y + 10 = 0. Calculate the remainder when 476 is divided by l. 8 Suppose p = 4*a - 272, -2*p - 2*p - 5*a - 1067 = 0. Let h = p + 367. What is the remainder when h is divided by 25? 24 Suppose 43*i + 600278 = 234*i - 16461. What is the remainder when i is divided by 17? 16 Suppose -2*y + 44 = 2*b + y, b - 3*y - 13 = 0. Suppose -h + 75 = -37. What is the remainder when h is divided by b? 17 Let c = -12863 + 12910. Calculate the remainder when 120 is divided by c. 26 Suppose 1062 = 25*p - 138. Calculate the remainder when 299 is divided by p. 11 Suppose f = -j + 9, -2*j = 2*f - j - 21. Suppose 0 = -15*o + f*o + 54. Suppose 19 = 10*x - 91. What is the remainder when o is divided by x? 7 Let g(k) = 34*k**3 + 3*k**2 - 2*k + 1. Let l be g(1). Let d = l + -28. Suppose 0 = h - 3*h + d. Calculate the remainder when 22 is divided by h. 2 Let i(w) = -4*w**2 + 7*w - 70. Let n be i(-14). What is the remainder when (-15)/3 + n/(-4) is divided by 61? 50 Suppose 0*m + 4*m - 24 = 0. Suppose -4540 = -m*u - 1498. Suppose -2*x + u = 3*n - 0*x, 5*x = -n + 182. Calculate the remainder when n is divided by 24. 23 Suppose 0 = -254*k + 466*k - 232*k + 47840. Calculate the remainder when k is divided by 170. 12 Calculate the remainder when (-13 - 630/(-50)) + (-224)/(-10) is divided by 4. 2 Let d be (-3)/(6/(-10)) - 275/55. Suppose d = -4*i + 5*m + 509, 0 = -2*i + 7*i - 2*m - 632. Calculate the remainder when i is divided by 16. 14 Let w = -349 - -352. Let o(l) = l**3 - 6*l**2 - 11*l - 2. Let r be o(8). Suppose 5*p - r = 47. What is the remainder when p is divided by w? 2 Let u(w) = w**2 + 4*w - 234. Let r be u(0). Calculate the remainder when 12 - r - (1 + -4) is divided by 10. 9 Suppose -2*g = -u - 13, -4*g - 242*u = -237*u - 47. Let v(a) = -3*a**3 - 5*a**2 - 2*a + 1. What is the remainder when v(-5) is divided by g? 5 Let b be -10 - ((-6)/(-18))/((-2)/12). Calculate the remainder when (4/b)/((-1)/(-158)*-1) is divided by 9. 7 Let q = -374 + 194. Let t = q - -192. What is the remainder when 53 is divided by t? 5 Let b(k) = k**3 - 2 + 11 - 4*k + 1 - 2*k**2. Calculate the remainder when 15 is divided by b(0). 5 What is the remainder when 501 is divided by 704/40*(-1)/((-36)/495)? 17 Let g = 52 + -48. Suppose -g*q - v + 104 = v, v - 106 = -4*q. Calculate the remainder when q is divided by 19. 8 Suppose -1 = 5*o + 19, 5*o + 1820 = -5*b. Calculate the remainder when ((-216)/b)/(2*(-2)/(-240)) is divided by 21. 15 Suppose -4*x - 2*y + 1193 + 641 = 0, -2*x + y + 923 = 0. Let g(p) = -21*p - 2. What is the remainder when x/(-6)*(-21)/14 is divided by g(-2)? 35 Let x(a) = 3*a + 4*a - 4*a**2 - 2 + 3*a**2. Let n be x(6). Suppose -451 = -n*z + z + 2*r, 15 = -3*r. What is the remainder when z is divided by 37? 36 Calculate the remainder when -4*(-35)/(-20) - (-345 - 2) is divided by 92. 64 Let z = 5 - 50. Let c be (-1470)/z - 4/(-3). Suppose -5*n + 85 = -3*w, n = -n - 3*w + c. Calculate the remainder when 99 is divided by n. 14 Let b = 8822 - 8621. What is the remainder when 2207 is divided by b? 197 Let l = 140 - 129. Suppose -2*m +
{ "pile_set_name": "DM Mathematics" }
709, 478937 List the prime factors of 38414692. 2, 23, 71, 5881 List the prime factors of 682202421. 3, 75800269 List the prime factors of 2065700209. 17, 121511777 What are the prime factors of 92564573? 47, 1969459 List the prime factors of 10637998. 2, 7, 73, 1487 List the prime factors of 1094876852. 2, 2693, 101641 List the prime factors of 5367824. 2, 7, 11, 4357 List the prime factors of 69959044. 2, 1453, 12037 List the prime factors of 2682273823. 23, 43, 277, 9791 What are the prime factors of 355435207? 355435207 List the prime factors of 708172392. 2, 3, 23, 1019, 1259 List the prime factors of 58222266. 2, 3, 9703711 What are the prime factors of 19601308? 2, 53, 92459 List the prime factors of 24896977. 7, 3556711 What are the prime factors of 40943134? 2, 1399, 14633 List the prime factors of 33372176. 2, 433, 4817 What are the prime factors of 736733335? 5, 13, 17, 666727 What are the prime factors of 60115264? 2, 11, 17, 5023 List the prime factors of 227679513. 3, 4111, 18461 List the prime factors of 18151293. 3, 6050431 What are the prime factors of 700220345? 5, 11, 41, 28229 What are the prime factors of 150924262? 2, 7591, 9941 List the prime factors of 5092993360. 2, 5, 7, 13, 139, 719 List the prime factors of 92635082. 2, 311, 148931 List the prime factors of 22486904. 2, 11, 31, 8243 List the prime factors of 25287705. 3, 5, 113, 4973 What are the prime factors of 217170951? 3, 2957, 24481 List the prime factors of 236708484. 2, 3, 4243, 4649 What are the prime factors of 3029873135? 5, 151, 157, 25561 List the prime factors of 878228319. 3, 2399, 122027 List the prime factors of 156757062. 2, 3, 7, 11, 311, 1091 What are the prime factors of 538880143? 538880143 What are the prime factors of 241682298? 2, 3, 11, 13, 23, 37, 331 List the prime factors of 39244572. 2, 3, 1090127 What are the prime factors of 95598209? 7, 13656887 List the prime factors of 36879667. 11, 719, 4663 What are the prime factors of 325367710? 2, 5, 293, 379 List the prime factors of 20248402. 2, 193, 52457 List the prime factors of 175143789. 3, 29, 74561 What are the prime factors of 57821197? 7, 43, 192097 List the prime factors of 107240415. 3, 5, 7149361 List the prime factors of 428049101. 428049101 What are the prime factors of 42017816? 2, 19, 491, 563 What are the prime factors of 182778886? 2, 587, 155689 What are the prime factors of 1086970753? 11, 19, 1319, 3943 What are the prime factors of 239067174? 2, 3, 59, 61, 11071 What are the prime factors of 157396817? 19, 881, 9403 What are the prime factors of 1182987223? 11, 107544293 List the prime factors of 967516918. 2, 109, 4438151 What are the prime factors of 2348639215? 5, 13, 139, 259949 What are the prime factors of 135463047? 3, 45154349 What are the prime factors of 117212338? 2, 71, 825439 List the prime factors of 2296240138. 2, 1543, 744083 What are the prime factors of 728854933? 137, 971, 5479 List the prime factors of 1466977375. 5, 23, 510253 What are the prime factors of 2129297719? 17, 19, 37, 178169 List the prime factors of 32421281. 32421281 What are the prime factors of 36999477? 3, 67, 113, 181 List the prime factors of 1918956868. 2, 281, 1707257 List the prime factors of 293390548. 2, 11, 43, 155069 List the prime factors of 91870545. 3, 5, 13, 41, 11491 What are the prime factors of 132340289? 113, 499, 2347 What are the prime factors of 453887147? 7, 9263003 What are the prime factors of 1107485675? 5, 47, 942541 What are the prime factors of 93304924? 2, 23326231 What are the prime factors of 749853676? 2, 11, 13, 7757 What are the prime factors of 5701275? 3, 5, 25339 What are the prime factors of 45686053? 7, 53, 123143 What are the prime factors of 151480460? 2, 5, 7574023 What are the prime factors of 137162667? 3, 127, 360007 What are the prime factors of 18786886? 2, 313, 30011 List the prime factors of 76150677. 3, 23, 1103633 List the prime factors of 93183031. 93183031 List the prime factors of 3883870020. 2, 3, 5, 37, 1749491 List the prime factors of 1281714259. 7, 183102037 What are the prime factors of 140576609? 140576609 What are the prime factors of 2038175685? 3, 5, 7, 13, 53, 9391 What are the prime factors of 504449642? 2, 8419, 29959 What are the prime factors of 2611833922? 2, 37, 35295053 List the prime factors of 81856689. 3, 27285563 What are the prime factors of 658167654? 2, 3, 109694609 List the prime factors of 30642626. 2, 7, 73, 29983 List the prime factors of 1497699336. 2, 3, 7, 8914877 What are the prime factors of 62930486? 2, 31465243 List the prime factors of 3570766845. 3, 5, 827, 287849 List the prime factors of 238969183. 89, 1511, 1777 List the prime factors of 91152839. 4483, 20333 What are the prime factors of 2096509513? 7, 17, 71, 248137 What are the prime factors of 23989938? 2, 3, 7, 179, 3191 What are the prime factors of 72010096? 2, 17, 264743 List the prime factors of 650514306. 2, 3, 13, 631, 13217 What are the prime factors of 1703255727? 3, 239, 541, 4391 List the prime factors of 223111646. 2, 541, 206203 What are the prime factors of 74238274? 2, 11, 3374467 What are the prime factors of 62816991? 3, 20938997 What are the prime factors of 36231035? 5, 7246207 List the prime factors of 7357063695. 3, 5, 1571, 312203 List the prime factors of 2354057407. 13, 149, 1215311 List the prime factors of 34729106. 2, 163, 106531 What are the prime factors of 82368947? 991, 83117 What are the prime factors of 528868813? 11, 48078983 What are the prime factors of 551363501? 13, 43, 986339 List the prime factors of 72539051. 13, 17, 383, 857 List the prime factors of 2890084863. 3, 963361621 List the prime factors of 188301911. 7, 17, 271, 5839 What are the prime factors of 50251153? 50251153 What are the prime factors of 1766969547? 3, 7, 2297, 5233 List the prime factors of 2911274271. 3, 107824973 List the prime factors of 4474021822. 2, 647, 3457513 What are the prime factors of 365525510? 2, 5, 7, 5221793 List the prime factors of 13297664. 2, 43, 151 List the prime factors of 6807119. 11, 137, 4517 What are the prime factors of 28904590? 2, 5, 11, 13, 17, 29, 41 List the prime factors of 51755196. 2, 3, 251, 17183 List the prime factors of 1126673079. 3, 7, 17, 101, 31247 What are the prime factors of 310465137? 3, 181, 571759 List the prime factors of 388876998. 2, 3, 3041, 21313 What are the prime factors of 2000523562? 2, 1409, 709909 List the prime factors of 54788139. 3, 7, 23, 37811 What are the prime factors of 54080033? 7, 47, 164377 List the prime factors of 25495993. 317, 80429 List the prime factors of 779904448. 2, 31, 393097 What are the prime factors of 107342827? 673, 159499 List the prime factors of 514174475. 5, 20566979 What are the prime factors of 124520100? 2, 3, 5, 269, 1543 What are the prime factors of 277416121? 37, 7497733 List the prime factors of 451037575. 5, 1913, 9431 What are the prime factors of 79532694? 2, 3, 4418483 What are the prime factors of 31869790? 2, 5, 3186979 What are the prime factors of 46547576? 2, 167, 34841 What are the prime factors of 5652518812? 2, 1413129703 List the prime factors of 63476550. 2, 3, 5, 23, 6133 What are the prime factors of 3786247468? 2, 9413, 100559 What are the prime factors of 2050195122? 2, 3, 113899729 What are the prime factors of 407718496? 2, 103, 123701 List the prime factors of 136794456. 2, 3, 1899923 List the prime factors of 97724643. 3, 32574881 What are the prime factors of 811860679? 7, 607, 191071 List the prime factors of 17829568. 2, 61, 4567 List the prime factors of 34179703. 59, 61, 9497 List the prime factors of 145205057. 37, 3924461 What are the prime factors of 313858275? 3, 5, 83, 127, 397 What are the prime factors of 602201449? 659, 913811 What are the prime factors of 38652529? 53, 729293 List the prime factors of 130886271. 3, 97, 313, 479 List the prime factors of 565987123. 13, 67, 649813 List the prime factors of 159502448. 2, 7, 389, 523 List the prime factors of 22759142. 2, 7, 29, 1933 What are the prime factors of 1139148202? 2, 89, 6399709 What are the prime factors of 1313953325? 5, 52558133 What are the prime factors of 61838055? 3, 5, 257, 5347 List the prime factors of 1155289978. 2, 17,
{ "pile_set_name": "DM Mathematics" }
*o. Determine x(d(y)). 14*y**4 + 114*y**2 + 232 Let z(o) = -5*o**2. Let t(x) = -15*x + 23. Let a(c) = -29*c + 39. Let g(s) = 4*a(s) - 7*t(s). Determine g(z(n)). 55*n**2 - 5 Let b(s) = 18753*s - 2397. Let u be (((-13)/(-39))/(-1))/((-1)/2397). Let d(z) = 141*z - 18. Let y(v) = u*d(v) - 6*b(v). Let n(l) = -3*l**2. What is n(y(p))? -59643*p**2 Let q(h) be the third derivative of h**4/12 - h**2 + 937. Let c(p) = -10661*p. Determine q(c(r)). -21322*r Let h(o) = -118*o + 3352. Let k(y) = -42*y + 1117. Let z(u) = 5*h(u) - 14*k(u). Let m(w) = -3*w**2. Calculate m(z(r)). -12*r**2 + 13464*r - 3776652 Let y(r) = -3*r + 55911. Let d(z) = 2*z - 212. Calculate d(y(m)). -6*m + 111610 Let g(l) = -2*l + 576. Let i(t) = 12*t. Let v(b) = 5*b. Let y(u) = i(u) - 3*v(u). Calculate g(y(z)). 6*z + 576 Let l(h) = 9*h + 4. Let g(t) be the second derivative of 0*t**3 + 0 + 1/6*t**4 + 0*t**2 - 189*t. Give g(l(v)). 162*v**2 + 144*v + 32 Suppose -w = 4*w - 12 - 3. Let b(c) be the third derivative of -5*c**2 + 0 + 0*c**w + 0*c - 1/8*c**4. Let k(z) = z**2. What is b(k(j))? -3*j**2 Suppose -3*y + 4 = -26. Let x(j) = -3*j - 10. Let c(b) = -b - 4. Let r(d) = y*c(d) - 4*x(d). Let g(z) = 7*z + 0*z**2 - 7*z - z**2. Give g(r(i)). -4*i**2 Let g(x) = 13*x**2. Let i(w) = -25*w**2 - 16*w + 16. Let r(a) = 8*a**2 + 6*a - 6. Let v be (-2 + 9/4)/(7/84). Let k(t) = v*i(t) + 8*r(t). What is g(k(c))? 1573*c**4 Let q(x) be the first derivative of 0*x + 20 - 1/3*x**3 + 0*x**2. Let r(o) = -2. Let z(j) = j - 9. Let k(h) = 9*r(h) - 2*z(h). Determine k(q(b)). 2*b**2 Let g be (-2 - -1)/(7 + (-3308)/472). Let s(n) = -118 + g - n. Let a(c) = -51*c + 1. Give s(a(f)). 51*f - 1 Let l(w) be the first derivative of w**2/2 + 2. Let h = -542 - -550. Let q(b) = 18*b - 7. Let z(n) = -6*n + 3. Let a(s) = h*z(s) + 3*q(s). What is l(a(g))? 6*g + 3 Let s be 3*2/(-9)*129. Let q = s + 128. Let m(a) = 38 + q - 80 + 6*a. Let c(o) = -o. Give m(c(r)). -6*r Let f(p) = 9*p**2. Let n(k) = k**2 + k + 6. Let v(r) = 5*r**2 - 12*r - 36. Let o(d) = -6*n(d) - v(d). Calculate o(f(u)). -891*u**4 + 54*u**2 Let o(f) = 6*f**2 + 272*f**2 + 1033*f**2. Let r(l) = 2*l. Give o(r(q)). 5244*q**2 Let f(j) = -j**2 - 139*j - 4. Let i(m) = m**2 + 142*m + 6. Let c(w) = 3*f(w) + 2*i(w). Let l(o) be the third derivative of o**5/30 - 4*o**2. Calculate c(l(k)). -4*k**4 - 266*k**2 Let n(g) = 6*g. Let j(k) = -47637285*k. What is j(n(p))? -285823710*p Let g(j) = -2*j. Let f(p) = -190*p - 3*p**2 + 192*p - 1 + 3 + p**3. Let n be f(2). Let o(x) = -7*x**n + 4*x**2 + 2*x**2 + 14. Give g(o(l)). 2*l**2 - 28 Let n(x) = 20 - 5255*x + 10493*x - 5246*x + 1. Let y(s) = 5*s**2. Calculate y(n(p)). 320*p**2 - 1680*p + 2205 Let g(r) = -r - 1. Let q(y) be the third derivative of y**4/2 + 5*y**3/3 + 10*y**2 - 1. Let m(s) = -10*g(s) - q(s). Let l(j) = 1 - 3*j - 1. Determine l(m(x)). 6*x Let f(d) = -662811*d**2. Let s(z) = 2*z**2 + 917. Calculate s(f(w)). 878636843442*w**4 + 917 Let r(f) = 44*f + 10. Let l(z) = 79*z + 18. Let x(o) = 5*l(o) - 9*r(o). Let i(v) = -70*v. Calculate i(x(d)). 70*d Let v(x) = 9*x**2 + 72. Let b(u) = 11*u**2 + 90. Let i(a) = -4*b(a) + 5*v(a). Let c(p) = 2*p**2 + 28*p. What is c(i(k))? 2*k**4 + 28*k**2 Let n(i) = -3128*i**2 - 299. Let d(u) = 21*u**2 + 2. Let s(j) = -897*d(j) - 6*n(j). Let h(w) be the first derivative of w**2/2 - 56. What is h(s(g))? -69*g**2 Let c(s) be the first derivative of 16*s**3 + 256. Let y(q) be the first derivative of -q**3/3 - 9. Determine y(c(z)). -2304*z**4 Let o(s) = 17*s. Let h(g) = 3*g + 201810. Calculate h(o(c)). 51*c + 201810 Let g(z) = 2*z. Let h(m) = 1074492*m**2 - 4. Determine h(g(r)). 4297968*r**2 - 4 Let o(m) = -51*m. Let r(i) = -i + 18573. Determine o(r(k)). 51*k - 947223 Suppose 3*c = -3*d - c + 13, 17 = 5*d + 2*c. Let y(x) = d*x - 456 + 456 - 4*x. Let j(v) = -19*v**2. Calculate y(j(i)). 19*i**2 Let z(a) = -a**2 - 5*a. Let q(m) = 36*m + 12. Let i(p) = 33*p + 10. Let o(l) = -6*i(l) + 5*q(l). Calculate z(o(f)). -324*f**2 + 90*f Let x(b) = -12835*b + 6390*b + 6434*b. Let d(u) = 5*u. Suppose 0 = -s - 10 - 1. Let g(w) = 3*w. Let v(q) = s*g(q) + 6*d(q). Determine x(v(c)). 33*c Let h(p) = 126*p + 135*p - 270*p. Let q(t) = -62*t. Determine h(q(j)). 558*j Let z(k) = 3*k**2 + 4*k**2 + 6*k**2. Let m(b) be the second derivative of 5/6*b**3 + 2*b + 0*b**2 + 0. Determine z(m(n)). 325*n**2 Let u(r) = -17*r. Let h(k) = 233*k**2 - 36*k + 6. Let b(t) = 102053*t**2 - 15774*t + 2629. Let x(l) = 6*b(l) - 2629*h(l). Give u(x(p)). 4063*p**2 Let g be 28*6/(-16)*-2. Let k(i) = g*i - 20*i + 11*i. Let w(r) = 5*r. Calculate w(k(p)). 60*p Let z(u) = 422*u + 2. Let q(m) = 82*m**2 + 2*m. Determine z(q(b)). 34604*b**2 + 844*b + 2 Let m(p) = 22 + 4 - 26 - 9*p. Let y(a) be the first derivative of 5*a**4/12 - 6*a - 2. Let j(f) be the first derivative of y(f). Calculate j(m(d)). 405*d**2 Let y(x) = 88*x - 224. Let n(o) = 206*o. Calculate n(y(z)). 18128*z - 46144 Suppose -207*w + 22 + 379 = -13. Let b(i) be the third derivative of 0 + 0*i**3 + 29*i**w + 0*i - 1/12*i**4. Let u(y) = -20*y**2. Determine b(u(f)). 40*f**2 Let g(x) = -1. Let w = -2 + 5. Let a(p) = -3*p + 5. Let s(r) = w*a(r) + 15*g(r). Let d(k) = 177*k + 6*k**2 - 4*k**2 - 177*k + 2*k**2. Calculate d(s(u)). 324*u**2 Let d(p) = 2*p**2. Let k(f) = -221*f + 609*f - 205*f - 201*f. What is k(d(g))? -36*g**2 Let l = 5209 + -5206. Let z(x) be the second derivative of 1/2*x**3 + l*x + 0 + 0*x**2. Let j(v) = -3*v**2. Determine j(z(c)). -27*c**2 Let g(x) be the third derivative of -x**5/30 + 4*x**2. Let u(v) be the first derivative of -3*v**2 - 3898. Calculate g(u(i)). -72*i**2 Let g(a) = 1797034*a**2. Let z(j) = -2*j. What is z(g(k))? -3594068*k**2 Let q(r) = 46*r - 77. Let b(j) = 40*j - 66. Let u(g) = -7*b(g) + 6*q(g). Let l(x) = -37*x - 1. Determine l(u(f)). 148*f - 1 Let s(v) = 9*v**2. Let k(o) = 33*o - 102. Let b(l) = 2*l - 21. Let m(n) = 5*b(n) - k(n). Determine s(m(x)). 4761*x**2 + 1242*x + 81 Let y(q) = -2*q. Let j(v) be the first derivative of 247/2*v**2 - 22 + 0*v. Give j(y(m)). -494*m Let n(v) = -371111*v**2. Let p(b) = 137*b. Give n(p(o)). -6965382359*o**2 Let s(x) = 14*x + 37. Let u(z) = -7849*z. Calculate s(u(r)). -109886*r + 37 Let k(p) = -865 + 428 + 437 - 16*p**2. Let g(o) be the first derivative of o**5/60 + o**3 + 9. Let l(w) be the third derivative of g(w). Determine l(k(q)). -32*q**2 Let q(n) = -2*n - 5. Let j(g) = 5*g + 2. Let x(k) = 10*j(k) + 4*q(k). Let t(p) = -25*p**2. What is t(x(s))? -44100*s**2 Let w(f) = -f + 568. Let z(q) = 14*q + 583. Calculate w(z(i)). -14*i - 15 Let i(m) = -73*m**2 - 7. Let o(z) = 141*z**2 + 13. Let a(x) = 11*i(x) + 6*o(x). Let w(p) be the second derivative of -p**4/3 + 5*p - 1. Determine w(a(j)). -7396*j**4 - 344*j**2 - 4 Let c(k) = -13823*k. Let x(n) = 4*n - 1402. Determine c(x(f)). -55292*f + 19379846 Let o(i) = 16*i + 840. Let c(g) = 35. Let l(q) = 24*c(q) - o(q). Let j(k) = -56*k - 1. Calculate j(l(d)). 896*d - 1 Let p(x) = 9*x**2. Let k(r) = 3048111*r**2 - r - 2. Give k(p(c)). 246896991*c**4 - 9*c**2 - 2 Let a(p) be the third derivative of 0 - p**3 + 7/60*p**5 + 0*p + 0*p**4 - 23*p**2. Let n(t) = 11*t**2 - 8*t**2 - 2*t**2. Calculate a(n(w)). 7*w**4 - 6 Let w(n) = -81*n. Let y(g) be the second derivative of 2*g**3 + 2478*g. Give w(y(z)). -972*z Let j(r) = 25*r**2 - 6*r - 2377. Let b(t) = -16*t**2 + 5. Calculate j(b(n)). 6400*n**4 - 3904*n**2 - 1782 Let g(k) = 5*k**2 + 2*k - 2. Let o(q) = 9*q**2 + 3*q - 3. Let w(p) = 3*g(p) - 2*o(p). Let u(d) = -5*d + d - 8 + 2 + 0. Give u(w(c)). 12*c**2 - 6 Let j(g) be the first derivative of 51 - 3*g**2 + 0*g**2 + g**2 - 136 - 6*g. Let a(l) = -4*l. What is a(j(q))? 16*q + 24 Let u(l) = 56266408*l**2. Let f(s) = -3*s**2. Give u(f(p)). 506397672*p**4 Let h(u) = -19*u. Let w(a) = 2*a**3 - 27*a**2 - 5*a - 20. Let l be w(14). Let t(i) = 318*i - 111*i - l*i - 108*i. Give h(t(g)). 133*g Suppose -6*c = -t - c + 9, -2*t = -c - 63. Let m(i) = 9 + t + 6 - 2*i + 2*i + 2*i. Let u(q) = -q. Calculate u(m(y)). -2*y - 49 Let k(g) be the second derivative of g**4/12 - 2345*g + 1. Let x(u) = -22*u**2 - 5. Calculate k(x(j)). 484*j**4 + 220*j**2 + 25 Let d(h) = 4502*h**2 - 23*h + 75. Let f(s) = 2*s. Calculate d(f(w)). 18008*w**2 - 46*w + 75 Let w(g) = 431776*g**2. Let o(u) = 8*u**2 - 3. Determine o(w(i)). 1491444113408*i*
{ "pile_set_name": "DM Mathematics" }
51+-474.523 120476.477 Calculate -113511184 - 0.4. -113511184.4 46.973453+-7.3 39.673453 What is 11.117069 + -1.3? 9.817069 What is -6702 take away 2933751? -2940453 Put together -198 and -425.892. -623.892 Calculate 0.984 - 559. -558.016 Sum -0.08 and 243.346818. 243.266818 What is -3.26 take away 233517? -233520.26 What is 0.3 less than 34654960? 34654959.7 Subtract 48268278 from -0.2. -48268278.2 Work out 9611 - -395866. 405477 Add -67971 and 243192. 175221 What is 1 + 353865.7? 353866.7 Put together 1448 and -0.8352. 1447.1648 Work out -221566 + -37.1. -221603.1 3412076673 + 16 3412076689 What is 436082.9 less than -0.2? -436083.1 Add 496 and 4448284. 4448780 What is 0.1481737 - -382? 382.1481737 What is the difference between -0.06 and 173513356? 173513356.06 What is 1950415435 less than 3? -1950415432 Total of -368629 and -221. -368850 Calculate 47153 + 16382. 63535 Put together -1.4 and -16045478. -16045479.4 What is the distance between 1167.0157 and 74.8? 1092.2157 Put together -2952267 and 0.25. -2952266.75 What is 251 minus 23947.5? -23696.5 What is -1 + 34152310? 34152309 What is -0.981 take away -61225.2? 61224.219 What is -1252.54 - 29.788? -1282.328 What is the difference between -144.1 and 1287722? 1287866.1 What is the distance between 21890173 and 0.287? 21890172.713 Add -67 and -1034819.16. -1034886.16 What is the distance between -60 and 162976? 163036 What is 6.411865 plus 0.3? 6.711865 Work out -752179 - -1501. -750678 What is 4724572 - -61? 4724633 Work out -18.3429 + 25. 6.6571 Work out 0.72 + -22858. -22857.28 Work out 0.427 + 893.6028. 894.0298 0.11 + 16071017 16071017.11 What is 3.08356 less than 0.037? -3.04656 What is 1 minus 2357.67412? -2356.67412 What is 2389585.57 + 10? 2389595.57 What is 175 less than 5.5502? -169.4498 Sum -133216 and 174. -133042 Work out 41 - 350030. -349989 -1212913567 - -2 -1212913565 Work out 26 + -20202796. -20202770 -0.2 - 77.854558 -78.054558 Total of 6195628 and 0.092. 6195628.092 8635702+0.03 8635702.03 What is 11966 less than 0.01839? -11965.98161 What is -31477 take away 0.9647? -31477.9647 What is -6.7 - -693? 686.3 What is the difference between 21 and -42854? 42875 Calculate -144 - -171294818. 171294674 Calculate 1811 - -11562. 13373 Work out 43 - 374969482. -374969439 Add together -244.682 and -1.8. -246.482 Work out -880882174 - 0.7. -880882174.7 Put together -3.9684 and -109737. -109740.9684 Sum 1007 and 7671. 8678 -44432580 + 0.003 -44432579.997 What is -0.1 + -151004070? -151004070.1 Calculate -0.0553808 - 79.78. -79.8353808 What is 0.2 minus 74106133? -74106132.8 7879+-52417 -44538 Work out 119951 - 0.00654. 119950.99346 What is the difference between -43.515 and -155? 111.485 Calculate 793.1 + 17.983. 811.083 -178875+0.558 -178874.442 What is -0.79 plus -2141.1? -2141.89 Calculate -290 + -4.49115. -294.49115 Subtract -32.8 from 1.0369324. 33.8369324 Put together 38836387488 and -5. 38836387483 Sum -16673636.578 and 0.3. -16673636.278 Add together 56.42005 and -187. -130.57995 Calculate -0.23 - 45.05782. -45.28782 What is 80630.5252 + -1.5? 80629.0252 0.02 - 346878.494 -346878.474 0.26357999 - -0.067 0.33057999 Work out -2.01 + -12.536239. -14.546239 What is -0.5 plus 1969786444? 1969786443.5 Work out 4.119 + -1905. -1900.881 -5193405 + 72 -5193333 -34242.42+21 -34221.42 What is -94.13 plus 6483818? 6483723.87 -16381.1 + -448 -16829.1 -33.39005+-13 -46.39005 Sum 1184.1 and -12.31129. 1171.78871 Subtract 1151927 from -4.1. -1151931.1 6 - -85715 85721 Work out -78 - -692.66929. 614.66929 Work out 4.9681 + -0.045987. 4.922113 -4816917805 - 0.2 -4816917805.2 What is -922273.597 minus -4.9? -922268.697 Total of -1.28297 and -0.043715. -1.326685 What is 2319166590 + 0.1? 2319166590.1 Work out 157.979 + 0.78. 158.759 What is -222870731 less than 10? 222870741 What is -1.2 less than -1760900? -1760898.8 2+95196.1625 95198.1625 Calculate -0.067 + 460.48. 460.413 -1893 - -5056834 5054941 5.612 - 47772 -47766.388 68522751 - -1 68522752 What is -116.825078 - 19.6? -136.425078 Sum -4658 and -15027.324. -19685.324 What is 1 minus -293032? 293033 1201238266+41 1201238307 What is 39617 - 0.206212? 39616.793788 1636 - -7.54785 1643.54785 -4718 - 2523.56 -7241.56 What is the distance between 0.618 and 0.307926? 0.310074 Subtract 0.0365 from -8511719. -8511719.0365 Work out -0.3 + 91437096. 91437095.7 Work out 13 + -3970.18. -3957.18 What is 866575995 take away 2.2? 866575992.8 0.34 - 318023028 -318023027.66 What is the difference between 755993 and -39? 756032 Work out 9 - 297880.8555. -297871.8555 What is -102 - -9101? 8999 What is the difference between 0.04 and 2603415? 2603414.96 Subtract 10037548 from 279. -10037269 Put together 1051.2857021 and -0.4. 1050.8857021 Add together -10.02 and 8.68382. -1.33618 Total of -0.12 and -47.9567. -48.0767 What is -632 less than -880248? -879616 Calculate -545573528 - 0.5. -545573528.5 -132.31 - 273242 -273374.31 What is the difference between 503646213 and -0.5? 503646213.5 67294890 - -877 67295767 Calculate 1.954817 - -2.04. 3.994817 Add together -696.9 and -415318. -416014.9 Work out 11.55 - 4.413314. 7.136686 Add together -2115 and -10.4697. -2125.4697 What is -11158534 + -0.2? -11158534.2 What is -1426417 - 3544? -1429961 Add 286.86991 and -96. 190.86991 Total of 497342 and -73828. 423514 Total of -2455 and -469052. -471507 Subtract -13.35 from -11700. -11686.65 What is 0.0875 minus 341097? -341096.9125 What is the difference between 0.14 and 676.2307? 676.0907 What is -42712217 plus 0.162? -42712216.838 Sum -337656 and 5575. -332081 Sum -7509 and -10.49. -7519.49 Add together -54.93 and 567.86. 512.93 What is -2342.7 take away 47.495? -2390.195 What is the difference between 1.8757 and 1328? 1326.1243 Subtract -0.5 from -90.1209497. -89.6209497 Calculate 148466 - 734.5. 147731.5 Add together -0.5 and -4223.7825. -4224.2825 -4.120896+-577 -581.120896 What is -827.433 take away 31? -858.433 Add -5.8497 and -2539.43. -2545.2797 Work out -6.876 + 55460. 55453.124 Add -52 and -492.1741. -544.1741 -5 + -401277.3 -401282.3 What is 10078 + 14.93545? 10092.93545 Put together 109380294 and 17. 109380311 Calculate 0.883739 - -13. 13.883739 -0.06+-280780889 -280780889.06 What is 0.2 take away -5592.896? 5593.096 -1396911194+0.1 -1396911193.9 Work out -9894348 + 0.02. -9894347.98 Add 5219.97 and -6. 5213.97 Calculate -1366960 - 0.05034. -1366960.05034 -1+6291270698 6291270697 Subtract 467 from -26.34. -493.34 What is the distance between 4 and -8364922? 8364926 What is -101828199 - 0.03? -101828199.03 What is -15.890917 plus 37? 21.109083 Put together -0.2 and 0.03017443424. -0.16982556576 Work out -47 - -0.0807540046. -46.9192459954 33.50735246 + -0.03 33.47735246 Work out -33491 - 741. -34232 Add together -0.4 and 10309892. 10309891.6 Work out 2385.7 - -410. 2795.7 Calculate 619300 + 1.7323. 619301.7323 Work out -0.1 - -1693946.078. 1693945.978 Sum 26.58 and 599.87. 626.45 Add 93051.2 and -0.7977. 93050.4023 Work out -4 + 22943.1. 22939.1 0.3 - 112592323 -112592322.7 What is the distance between -7555926 and 170? 7556096 What is 4764.87 less than -7762? -12526.87 Work out -14.6 - -180491.3. 180476.7 Work out -0.1 + 12.3391616. 12.2391616 Calculate 33209273 - 12. 33209261 0.5+-14712862 -14712861.5 What is 7645 less than 0.20918? -7644.79082 Add together 0.2 and 637.1102. 637.3102 Total of -0.5 and -338.66907. -339.16907 What is -258664 less than 0.008? 258664.008 Add together -320440 and -4087. -324527 What is -7660355 - 0.8? -7660355.8 Calculate 1826 + -542488. -540662 What is -7717463.45 minus 0.4? -7717463.85 0.19 + 708.0741 708.2641 Subtract 58.93 from 52.09. -6.84 Add 0.5387503 and -1. -0.4612497 What is the difference between 5.6 and -36980? 36985.6 4 - 71465517.4 -71465513.4 -627+189042 188415 1+9093126 9093127 Calculate -119 - -1336.509. 1217.509 Add together -0.03121704 and -293. -293.03121704 Total of 3642 and -19117453. -19113811 What is the difference between 370.257813 and 0.1? 370.157813 Calculate -37 + 213.1032319. 176.1032319 -51597.891 + -153 -51750.891 Total of -1479533903 and 2. -1479533901 What is the distance between -11 and 0.7450584? 11.7450584 Add -0.4 and 192652243. 192652242.6 What is the difference between -7093.53453 and 0
{ "pile_set_name": "DM Mathematics" }
3. Let n(w) = -3*j(w) + 4*q(w). Give n(c(d)). -4*d Let n(g) be the third derivative of 7*g**6/360 + g**3/2 - 3*g**2. Let b(i) be the first derivative of n(i). Let c(q) = -q**2. What is c(b(x))? -49*x**4 Let y(u) be the first derivative of -u**2 + 0*u**4 + 0*u + 2 + 1/60*u**5 + 0*u**3. Let q(a) be the second derivative of y(a). Let k(f) = -4*f**2. Give k(q(v)). -4*v**4 Let j(h) = -5*h. Let m(n) = n**2 + n - 1. Let c(u) = -6*u**2 - 7*u + 7. Let z(q) = -2*c(q) - 14*m(q). Calculate z(j(a)). -50*a**2 Let g(z) = -2*z**2. Let t(x) = 12480*x. What is t(g(s))? -24960*s**2 Let u(g) = -2*g**2. Let x(o) = -4*o - 6. Let t(f) = 4*f + 8. Let z(i) = -4*t(i) - 5*x(i). What is z(u(j))? -8*j**2 - 2 Let d(j) = j + 5. Let n(k) = 9*k + 2. What is d(n(c))? 9*c + 7 Let u(r) = r**2. Let x(q) = -q + 4*q**2 - 3*q**2 - 1 + 0*q**2. Let l(s) = -6*s**2 + 2*s + 2. Let j(a) = -l(a) - 2*x(a). What is u(j(h))? 16*h**4 Let p(a) = -14*a. Let l(q) be the third derivative of -q**4/12 - 11*q**2. What is p(l(o))? 28*o Let h(i) = -i**2. Let b(x) be the first derivative of 5*x**2/2 - 6. Give b(h(q)). -5*q**2 Suppose -3*l + 11 = 2, -i - l = -5. Let w(t) = -t - t + 2*t + t**i. Let x(y) = y. What is x(w(o))? o**2 Let p be 2/8 + (-10)/40. Let x(j) be the first derivative of 2 + p*j - 2/3*j**3 + 0*j**2. Let s(k) = 2*k**2. Determine x(s(o)). -8*o**4 Let q(l) = 14*l. Let o(h) = -5*h. Let p(x) = -11*o(x) - 4*q(x). Let g(b) = 4*b. What is p(g(v))? -4*v Let s(c) = -19410*c. Let m(f) = -2*f. Calculate s(m(v)). 38820*v Let z(d) = 50*d. Let w(t) = -t**2. Give z(w(c)). -50*c**2 Let p(q) = 89*q. Let s(j) = -341 + 341 + 2*j. Determine p(s(y)). 178*y Let d(a) = -3*a**2. Let b(g) = -g**3 - 6*g**2 - g - 4. Let c be b(-6). Let f(m) = 5 + 2 - 7 - c*m. Calculate d(f(o)). -12*o**2 Suppose 3*n + 3 = 3*f, -f + 9 = -0*n + n. Suppose -6*m + m + 15 = f*h, 2*h = 4*m. Let p(b) = 3*b**h + b**2 - 3*b**2. Let g(y) = 3*y**2. Calculate g(p(w)). 3*w**4 Let j(y) = y**2. Let q(a) be the third derivative of -a**8/10080 + a**5/30 - 2*a**2. Let h(f) be the third derivative of q(f). What is h(j(c))? -2*c**4 Let t(v) = -3*v**2. Let q(b) = -b + 1. Let h(d) = -1. Let n(l) = -h(l) - q(l). Calculate t(n(k)). -3*k**2 Let a(j) be the second derivative of -j**3/2 + 4*j. Let d(f) = 49*f - 49*f - 3*f**2. Calculate a(d(k)). 9*k**2 Let o(x) = -12*x. Let h(b) = 5*b**2 - 6*b + 6. Let y(m) = 9*m**2 - 11*m + 11. Let v(f) = -11*h(f) + 6*y(f). Calculate v(o(p)). -144*p**2 Let n(j) = -5*j**2. Let o(s) = -130*s**2. What is n(o(g))? -84500*g**4 Let v(p) be the third derivative of 13*p**5/60 + 22*p**2. Let x(t) = t**2. Determine x(v(q)). 169*q**4 Let k(g) = -3*g**2. Suppose 0 = 5*n + 2*z + 5 - 19, -n + 4*z + 16 = 0. Let t(m) = 3*m**2 - n*m**2 + 3*m**2. Determine k(t(j)). -12*j**4 Let t(b) = -8*b**2. Let v(k) = -k**2. Let h(o) = -2*t(o) + 18*v(o). Let x(p) = 3*p + p - p - 4*p. Give h(x(r)). -2*r**2 Let v(h) = -h. Let x(j) = -56*j + 4*j + 26*j. Give v(x(m)). 26*m Let a(o) = -438*o**2 - 1. Let p(m) = -m. What is a(p(w))? -438*w**2 - 1 Let d(c) = c. Let k(m) = -127*m + 2. Calculate k(d(z)). -127*z + 2 Let v(w) be the third derivative of 1/12*w**4 - 2*w**2 + 0*w**3 + 0 + 0*w. Let z(a) = -2*a. Calculate z(v(r)). -4*r Suppose -4*h + 8 = -0*h. Let a(i) = -6 + 6 - h*i. Let q(s) = -10*s. Let o(v) = -2*v. Let c(m) = -16*o(m) + 3*q(m). What is c(a(l))? -4*l Let c(s) = 2*s. Let h(g) = -11*g - 3. Determine h(c(n)). -22*n - 3 Let f = -9 + 17. Let l(r) = 4*r**2 - 2*r**2 + f - 8. Let b(p) = p**2 + p**2 - 4*p**2. Give b(l(g)). -8*g**4 Let z(h) = -h + 0*h - 4*h. Let s(w) be the first derivative of -2*w**3/3 + 5. Determine s(z(k)). -50*k**2 Let o(k) = -6*k**2 - 4*k**2 + 8*k**2. Let m(u) be the third derivative of -u**4/12 + u**2. Calculate m(o(q)). 4*q**2 Let r(n) be the first derivative of -7*n**3/3 + 3*n**2 - 6*n + 2. Let f(s) = 6*s**2 - 5*s + 5. Let v(x) = 6*f(x) + 5*r(x). Let j(l) = 5*l. Give v(j(a)). 25*a**2 Let l(h) = -5*h + 6*h + 18*h. Let p(c) = c. Calculate p(l(z)). 19*z Let g(f) = -4*f. Let j(s) = s + 4490. Calculate j(g(m)). -4*m + 4490 Let s(c) = -7*c - 27. Let h(o) = 3*o. Calculate h(s(d)). -21*d - 81 Let j(o) = 1. Let a(l) = -3*l**2 - 3. Let n(u) = a(u) + 3*j(u). Let r(z) = -z**2 - z. Let f(m) = -2*m**2 - m. Let q(t) = -f(t) + r(t). Give n(q(p)). -3*p**4 Let g(x) = 49*x. Let m(l) = 12*l. Let s(k) = 5*g(k) - 21*m(k). Let f(y) = -y. What is s(f(j))? 7*j Let x(r) = 2*r - r + 0*r. Let c(t) = t + 2. Let d(u) = -1. Let w(p) = -c(p) - 2*d(p). What is x(w(l))? -l Let q(l) = -l. Let i = -12/13 + 85/78. Let o(h) be the second derivative of i*h**4 + 0*h**3 + 0 + 0*h**2 + h. What is q(o(t))? -2*t**2 Let o(h) = 2*h**2. Let y(l) = -57*l. Calculate y(o(q)). -114*q**2 Let b(r) = -5*r + 7. Let m(c) = -9*c**2. Determine b(m(k)). 45*k**2 + 7 Let k(l) = l. Let d(r) = -2*r + 13. Let g(u) = 2*u - 13. Let f(x) = 3*d(x) + 2*g(x). What is k(f(s))? -2*s + 13 Let n(f) = -2*f. Let m(i) = 308*i. Determine m(n(b)). -616*b Let l be 4/10 - (-24)/15. Let q(z) = -4*z - l*z + 4*z. Let u(j) be the second derivative of -j**4/6 + j. What is q(u(d))? 4*d**2 Let d(g) = -356*g**2. Let c(l) = 2*l. Calculate c(d(u)). -712*u**2 Let l(z) = z**2. Let i(x) = x**2 + 4*x + 3. Let o be i(-4). Let u(f) = o*f - 5*f + 3*f. Give u(l(s)). s**2 Suppose -10*t = -13*t + 9. Let q(k) be the second derivative of 0 - 1/3*k**t - 3*k + 0*k**2. Let h(v) = 2*v**2. Calculate q(h(m)). -4*m**2 Let n(r) = -2*r**2. Let s(q) = -5*q**2 + 8*q - 7*q**2 - 8*q. Determine s(n(x)). -48*x**4 Let h(w) = w + 19. Let k(i) = -6*i. Calculate k(h(u)). -6*u - 114 Let t(n) = 2*n**2. Let j(b) be the third derivative of 13*b**4/8 + 7*b**2. Give t(j(q)). 3042*q**2 Let q(s) = 2*s. Let h(t) = -1580*t**2. Determine h(q(i)). -6320*i**2 Let l(t) = 102*t - 42. Let d(u) = -12*u + 5. Let h(x) = -42*d(x) - 5*l(x). Let b(q) = q**2. Give h(b(j)). -6*j**2 Let f(v) = 10*v. Let g(n) = -5*n - 7. Let k(y) = -2*y - 3. Suppose -3*h + 5*h = -28. Let p(s) = h*k(s) + 6*g(s). Give p(f(r)). -20*r Let u(j) = j. Suppose -3*a - 23 = -h, -9 = a - 4*h + 3*h. Let i(y) = 9*y - 6. Let o(r) = -10*r + 7. Let n(w) = a*i(w) - 6*o(w). Calculate u(n(p)). -3*p Suppose 4*b - 27 = 5*f, 2*b = 4*b - 2*f - 12. Suppose -2*c - 12 = -7*c - h, 0 = -c + b*h + 12. Let m(i) = -1 + 1 - c*i. Let s(u) = u**2. Calculate m(s(n)). -3*n**2 Let g = -6 + 11. Suppose -2*o - 4*p - p = 6, g*p + 18 = 4*o. Let q(y) = 5*y - 5*y - y**o. Let u(v) = v**2. Determine u(q(l)). l**4 Let y(k) be the first derivative of 0*k + 0*k**3 + 1/60*k**5 + 0*k**4 + 1 + k**2. Let n(g) be the second derivative of y(g). Let z(a) = -2*a**2. Give n(z(c)). 4*c**4 Let r(h) be the second derivative of h**5/3 + 3*h**2/2 + 5*h. Let s(o) be the first derivative of r(o). Let t(v) = 2*v**2. Give s(t(l)). 80*l**4 Let z(a) = 43*a**2. Let i(v) = 8*v. Give z(i(t)). 2752*t**2 Let c(q) = q. Let h(i) be the first derivative of -3*i**2/2 + 4. Determine h(c(s)). -3*s Suppose -1 = 2*r + 7. Let j(f) = 9*f**2 - 4*f. Let p(z) = -17*z**2 + 7*z. Let o(w) = r*p(w) - 7*j(w). Let x(i) = -2*i. Calculate o(x(v)). 20*v**2 Let y(v) be the third derivative of v**4/12 + 15*v**2. Let r(h) = 16*h**2. Calculate y(r(t)). 32*t**2 Let j(g) = g**2 + 2*g + 2. Let k(z) = 2*z**2 + 3*z + 3. Let u(b) = -3*j(b) + 2*k(b). Let a(x) = 44*x. Determine a(u(q)). 44*q**2 Let w(d) = -2*d**2. Let l(y) = 4*y**2 + 8*y**2 + y**2 - 2*y**2. Give w(l(g)). -242*g**4 Let p(w) = -3*w. Let a(x) = -x**2 + 33. Calculate p(a(n)). 3*n**2 - 99 Let h(f) be the first derivative of -f**2/2 + 11. Let v(q) = -23*q**2. Give v(h(c)). -23*c**2 Let o(c) be the second derivative of c**4/6 + c. Let k be 1 + 1 + (-2)/2. Let u(a) = a + k - 1. What is o(u(p))? 2*p**2 Let f(w) = -2*w. Let x = 14 - 21. Let y(s) = s. Let c(i) = -3*i. Let m(a) = x*y(a) - 2*c(a). Calculate f(m(n)). 2*n Let w be (-2 - -1)/(-1) + 1. Let o(v) = -v**w + 0*v - v + v. Let m(s) = -5*s. Give o(m(f)). -25*f**2 Let a(j) = 1019*j**2 - j. Let z(f) = 2*f. Calculate a(z(g)). 4076*g**2 - 2*g Let f(v) be the second derivative of v**5/30 - v**2 + 2*v. Let k(x) be the first derivative of f(x). Let w(j) = j. Determine w(k(s)). 2*s**2 Let a(o) = -4*o. Let m(f) be the second derivative of f**4/24 + 2*f**2 + f. Let c(t) be the first derivative of m(t). Give a(c(r)). -4*r Let v(c) be the second derivative of c**3/6 - 2*c. Let i(n) = 5*n. What is i(v(p
{ "pile_set_name": "DM Mathematics" }
/35 Three letters picked without replacement from eeelevaeleealeeeqe. What is prob of picking 2 l and 1 a? 1/136 Two letters picked without replacement from ttaet. Give prob of picking 1 a and 1 e. 1/10 What is prob of picking 1 e, 1 m, and 1 h when three letters picked without replacement from mzhhemhjmzhhcze? 6/91 What is prob of picking 1 b, 1 w, and 2 h when four letters picked without replacement from eohwhob? 1/35 Two letters picked without replacement from pfpfffpffppmf. What is prob of picking 2 f? 7/26 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, v: 1, d: 2, g: 1, j: 12}. 1/136 What is prob of picking 1 h and 1 u when two letters picked without replacement from {c: 1, f: 1, i: 2, h: 1, x: 2, u: 1}? 1/28 Four letters picked without replacement from nmpjccx. Give prob of picking 1 m, 1 c, 1 n, and 1 p. 2/35 What is prob of picking 1 l and 1 o when two letters picked without replacement from lloolollllllolllllll? 32/95 Two letters picked without replacement from vvcvvvccvccv. What is prob of picking 1 c and 1 v? 35/66 Three letters picked without replacement from oooooovvvoovov. What is prob of picking 2 o and 1 v? 45/91 Two letters picked without replacement from viicjjviiicjivcixji. What is prob of picking 2 v? 1/57 Two letters picked without replacement from {e: 4, i: 6, v: 1, d: 3, k: 1}. What is prob of picking 1 d and 1 v? 1/35 Three letters picked without replacement from eppeeeeeeeeeeepeep. What is prob of picking 2 e and 1 p? 91/204 Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}. 1 Two letters picked without replacement from gbgg. What is prob of picking 2 b? 0 Three letters picked without replacement from bxjxjxxjbsjssjx. Give prob of picking 2 s and 1 j. 3/91 Three letters picked without replacement from dqtsfxftx. What is prob of picking 1 x, 1 q, and 1 d? 1/42 What is prob of picking 2 f when two letters picked without replacement from {g: 3, n: 1, l: 3, f: 3}? 1/15 Three letters picked without replacement from eeqqqqqq. Give prob of picking 3 q. 5/14 Four letters picked without replacement from {d: 2, k: 4, v: 1, b: 7, j: 3}. Give prob of picking 1 v and 3 k. 1/595 What is prob of picking 1 y and 1 f when two letters picked without replacement from pffnlnnyfyyff? 5/26 Four letters picked without replacement from ggzgmzzmymzmyzyzygyg. What is prob of picking 1 m, 2 z, and 1 y? 20/323 Four letters picked without replacement from qkksksggksqggsk. Give prob of picking 2 k, 1 s, and 1 q. 16/273 Calculate prob of picking 2 v and 1 l when three letters picked without replacement from {v: 2, l: 4, q: 2}. 1/14 Four letters picked without replacement from {l: 2, s: 9, k: 8}. What is prob of picking 1 k, 2 s, and 1 l? 48/323 What is prob of picking 2 d and 2 v when four letters picked without replacement from vdoovvodovdodvovdvo? 35/646 Four letters picked without replacement from noppaonxoo. Give prob of picking 2 p, 1 o, and 1 a. 2/105 Calculate prob of picking 2 f when two letters picked without replacement from ssnnyflslfyfnnlys. 3/136 Calculate prob of picking 1 m, 1 w, and 1 p when three letters picked without replacement from pmjpjpjwjppjjpjp. 1/80 Two letters picked without replacement from {m: 2, v: 2, l: 2}. What is prob of picking 1 l and 1 v? 4/15 What is prob of picking 1 j and 1 b when two letters picked without replacement from {f: 1, b: 4, x: 7, j: 2, q: 2}? 1/15 Two letters picked without replacement from {v: 3, w: 2, q: 1, d: 7, x: 4, b: 1}. Give prob of picking 2 x. 2/51 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 3, i: 1}. 1/2 Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn. 1 Two letters picked without replacement from vwvvww. Give prob of picking 2 v. 1/5 Two letters picked without replacement from {i: 5, a: 7}. Give prob of picking 1 i and 1 a. 35/66 What is prob of picking 1 u and 1 c when two letters picked without replacement from mimumummmcmiui? 3/91 Two letters picked without replacement from uzutpaatupuuztazu. What is prob of picking 1 u and 1 z? 9/68 Calculate prob of picking 2 o and 1 s when three letters picked without replacement from orrssrsroso. 4/55 What is prob of picking 3 p when three letters picked without replacement from {p: 6, r: 2}? 5/14 What is prob of picking 1 h and 2 s when three letters picked without replacement from {n: 2, z: 1, s: 2, b: 1, h: 2, x: 4}? 1/110 What is prob of picking 1 i and 2 t when three letters picked without replacement from {t: 3, i: 17}? 17/380 Calculate prob of picking 2 x and 1 j when three letters picked without replacement from qbjbczxx. 1/56 What is prob of picking 3 j and 1 l when four letters picked without replacement from ljlllljjljl? 14/165 Two letters picked without replacement from ffhifumiiuhuufuhfh. Give prob of picking 2 u. 10/153 Two letters picked without replacement from gigoiisfgggfgggff. What is prob of picking 1 g and 1 f? 4/17 Two letters picked without replacement from csqcqtcqqpdcdqspqd. Give prob of picking 1 p and 1 t. 2/153 Calculate prob of picking 1 t and 2 a when three letters picked without replacement from taacb. 1/10 Calculate prob of picking 2 j and 1 h when three letters picked without replacement from dsdfsijdjssdhdi. 1/455 What is prob of picking 2 b when two letters picked without replacement from {p: 3, b: 9}? 6/11 Four letters picked without replacement from {i: 1, m: 2, o: 8, c: 8, l: 1}. What is prob of picking 1 c, 1 l, and 2 o? 224/4845 Two letters picked without replacement from xxxfxxfdpxxmxffxf. Give prob of picking 1 d and 1 m. 1/136 What is prob of picking 3 y and 1 w when four letters picked without replacement from wyylhyoy? 2/35 What is prob of picking 3 k when three letters picked without replacement from kkkkkkwkkwk? 28/55 Four letters picked without replacement from jtuutjjtttj. Give prob of picking 3 t and 1 j. 4/33 Three letters picked without replacement from {o: 5, n: 11}. Give prob of picking 2 n and 1 o. 55/112 Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {w: 3, p: 2, k: 4, b: 10}. 20/171 Four letters picked without replacement from {p: 2, u: 1, b: 1, g: 3}. What is prob of picking 1 b and 3 g? 1/35 What is prob of picking 2 q when two letters picked without replacement from {x: 4, v: 7, q: 2, w: 1, f: 1}? 1/105 Calculate prob of picking 1 m, 1 w, and 2 j when four letters picked without replacement from jmwyjjmj. 6/35 Four letters picked without replacement from {u: 5, d: 3}. Give prob of picking 3 d and 1 u. 1/14 What is prob of picking 1 y and 1 g when two letters picked without replacement from ghyyhymrgg? 1/5 What is prob of picking 1 f and 1 m when two letters picked without replacement from {f: 1, m: 3}? 1/2 Four letters picked without replacement from hbhbwhbbwjxwbhhjwjwh. Give prob of picking 3 b and 1 x. 2/969 Four letters picked without replacement from nnnnnn. What is prob of picking 4 n? 1 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from yyxxtypttxppttttpyp. 7/57 What is prob of picking 1 b and 1 j when two letters picked without replacement from {k: 2, y: 3, j: 1, b: 1, o: 6}? 1/78 Four letters picked without replacement from llbblbblbllllllvllll. Give prob of picking 1 l and 3 b. 28/969 What is prob of picking 1 t and 2 o when three letters picked without replacement from toootttotottkot? 24/91 Four letters picked without replacement from {u: 2, w: 1, n: 2}. Give prob of picking 2 u, 1 n, and 1 w. 2/5 Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rrrrrrriiilyyrryyir. 60/323 What is prob of picking 1 q and 1 t when two letters picked without replacement from {t: 1, e: 4, q: 1, r: 5}? 1/55 Three letters picked without replacement from hxhxhh. Give prob of picking 2 h and 1 x. 3/5 Two letters picked without replacement from {s: 1, d: 1, w: 1, x: 3, o: 1}. What is prob of picking 1 d and 1 o? 1/21 What is prob of picking 1 x, 1 i, 1 g, and 1 a when four letters picked without replacement from {a: 1, i: 1, y: 2, x: 1, g: 1, r: 1}? 1/35 Three letters picked without replacement from dddoododdo
{ "pile_set_name": "DM Mathematics" }
y 11423. 42 What is the remainder when 7856 is divided by 35? 16 What is the remainder when 2213 is divided by 250? 213 What is the remainder when 2395 is divided by 34? 15 What is the remainder when 93894 is divided by 22? 20 Calculate the remainder when 12411 is divided by 6192. 27 Calculate the remainder when 138123 is divided by 11. 7 Calculate the remainder when 309597 is divided by 15. 12 Calculate the remainder when 5836 is divided by 733. 705 What is the remainder when 12665 is divided by 6329? 7 Calculate the remainder when 1126512 is divided by 68. 24 What is the remainder when 330107 is divided by 1260? 1247 What is the remainder when 74093 is divided by 37040? 13 What is the remainder when 25364 is divided by 146? 106 Calculate the remainder when 6696 is divided by 100. 96 Calculate the remainder when 30689 is divided by 4331. 372 What is the remainder when 223634 is divided by 59? 24 Calculate the remainder when 1178405 is divided by 387. 377 What is the remainder when 100278 is divided by 20053? 13 What is the remainder when 2865615 is divided by 42? 39 What is the remainder when 141538 is divided by 73? 64 Calculate the remainder when 1118230 is divided by 1116. 1114 Calculate the remainder when 40127 is divided by 176. 175 Calculate the remainder when 2346 is divided by 198. 168 Calculate the remainder when 6591 is divided by 6446. 145 What is the remainder when 5062 is divided by 4938? 124 Calculate the remainder when 139516 is divided by 414. 412 What is the remainder when 1289393 is divided by 644692? 9 Calculate the remainder when 1564 is divided by 1184. 380 Calculate the remainder when 24059 is divided by 350. 259 What is the remainder when 2674 is divided by 4? 2 Calculate the remainder when 133209 is divided by 184. 177 What is the remainder when 94126 is divided by 296? 294 Calculate the remainder when 22425 is divided by 1732. 1641 Calculate the remainder when 2715 is divided by 665. 55 What is the remainder when 119081 is divided by 101? 2 What is the remainder when 193002 is divided by 571? 4 Calculate the remainder when 26114 is divided by 2007. 23 Calculate the remainder when 41455 is divided by 298. 33 Calculate the remainder when 31031 is divided by 2387. 0 What is the remainder when 4954 is divided by 1236? 10 What is the remainder when 108037 is divided by 10802? 17 What is the remainder when 1754 is divided by 15? 14 What is the remainder when 19908 is divided by 1658? 12 What is the remainder when 573 is divided by 549? 24 What is the remainder when 464405 is divided by 154789? 38 Calculate the remainder when 1825171 is divided by 114073. 3 What is the remainder when 9765 is divided by 1632? 1605 What is the remainder when 1391 is divided by 36? 23 Calculate the remainder when 86637 is divided by 818. 747 What is the remainder when 932989 is divided by 158? 157 Calculate the remainder when 55000 is divided by 470. 10 Calculate the remainder when 15091 is divided by 14. 13 What is the remainder when 1301908 is divided by 25? 8 What is the remainder when 49138 is divided by 364? 362 What is the remainder when 13194 is divided by 197? 192 Calculate the remainder when 13379 is divided by 3288. 227 Calculate the remainder when 89958 is divided by 5. 3 What is the remainder when 278268 is divided by 327? 318 What is the remainder when 8794 is divided by 263? 115 What is the remainder when 1088501 is divided by 481? 479 What is the remainder when 13786 is divided by 6833? 120 What is the remainder when 484125 is divided by 16? 13 Calculate the remainder when 134441 is divided by 5. 1 Calculate the remainder when 156957 is divided by 80. 77 What is the remainder when 308325 is divided by 232? 229 Calculate the remainder when 1640581 is divided by 9. 7 Calculate the remainder when 91881 is divided by 124. 121 Calculate the remainder when 303028 is divided by 90. 88 Calculate the remainder when 69349 is divided by 170. 159 What is the remainder when 4472 is divided by 4460? 12 What is the remainder when 7359 is divided by 309? 252 Calculate the remainder when 15916 is divided by 73. 2 Calculate the remainder when 6043 is divided by 65. 63 What is the remainder when 41176 is divided by 264? 256 What is the remainder when 18255 is divided by 24? 15 Calculate the remainder when 68939 is divided by 25. 14 What is the remainder when 68009 is divided by 98? 95 Calculate the remainder when 7582 is divided by 9. 4 Calculate the remainder when 82311 is divided by 128. 7 Calculate the remainder when 34471 is divided by 48. 7 Calculate the remainder when 14271 is divided by 2004. 243 What is the remainder when 54540 is divided by 2272? 12 Calculate the remainder when 5099 is divided by 18. 5 Calculate the remainder when 201598 is divided by 360. 358 What is the remainder when 10691 is divided by 602? 457 What is the remainder when 17628 is divided by 640? 348 Calculate the remainder when 19930 is divided by 711. 22 Calculate the remainder when 160 is divided by 128. 32 Calculate the remainder when 5682 is divided by 270. 12 What is the remainder when 4298 is divided by 4199? 99 Calculate the remainder when 49702 is divided by 189. 184 Calculate the remainder when 18483 is divided by 2682. 2391 Calculate the remainder when 669606 is divided by 290. 286 Calculate the remainder when 87806 is divided by 343. 341 Calculate the remainder when 44042 is divided by 10992. 74 What is the remainder when 161165 is divided by 23? 4 What is the remainder when 89650 is divided by 1042? 38 What is the remainder when 56640 is divided by 1618? 10 What is the remainder when 17134 is divided by 1603? 1104 Calculate the remainder when 46035 is divided by 1023. 0 Calculate the remainder when 14533 is divided by 3614. 77 Calculate the remainder when 22570 is divided by 175. 170 What is the remainder when 2463 is divided by 1102? 259 What is the remainder when 3553 is divided by 10? 3 Calculate the remainder when 58591 is divided by 8368. 15 Calculate the remainder when 1094 is divided by 247. 106 Calculate the remainder when 445803 is divided by 2133. 6 What is the remainder when 28912 is divided by 7223? 20 Calculate the remainder when 235187 is divided by 78392. 11 Calculate the remainder when 178463 is divided by 29. 26 Calculate the remainder when 2866 is divided by 1405. 56 What is the remainder when 3741 is divided by 471? 444 Calculate the remainder when 4289542 is divided by 42. 40 Calculate the remainder when 4691 is divided by 250. 191 What is the remainder when 176027 is divided by 11000? 27 Calculate the remainder when 179183 is divided by 89588. 7 What is the remainder when 19226 is divided by 3? 2 Calculate the remainder when 590 is divided by 198. 194 What is the remainder when 1865 is divided by 184? 25 What is the remainder when 1278 is divided by 705? 573 Calculate the remainder when 37895 is divided by 9. 5 What is the remainder when 155628 is divided by 16? 12 Calculate the remainder when 96424 is divided by 33. 31 Calculate the remainder when 9780 is divided by 645. 105 Calculate the remainder when 728063 is divided by 948. 947 What is the remainder when 4105 is divided by 574? 87 Calculate the remainder when 18614 is divided by 549. 497 What is the remainder when 94107 is divided by 202? 177 Calculate the remainder when 2562981 is divided by 98576. 5 What is the remainder when 25567 is divided by 12770? 27 Calculate the remainder when 25535 is divided by 56. 55 What is the remainder when 4283 is divided by 1408? 59 Calculate the remainder when 36754 is divided by 99. 25 What is the remainder when 1253 is divided by 239? 58 Calculate the remainder when 157295 is divided by 242. 237 Calculate the remainder when 834 is divided by 232. 138 What is the remainder when 75430 is divided by 168? 166 Calculate the remainder when 20927 is divided by 27. 2 What is the remainder when 6041348 is divided by 633? 629 Calculate the remainder when 14508 is divided by 4826. 30 What is the remainder when 813 is divided by 101? 5 Calculate the remainder when 28123 is divided by 5622. 13 Calculate the remainder when 2824 is divided by 596. 440 Calculate the remainder when 98680 is divided by 43. 38 What is the remainder when 21665 is divided by 4
{ "pile_set_name": "DM Mathematics" }
- 9. What is the units digit of z? 2 Suppose 0 = 3*x - 2*x - 4. Let v(l) = 3*l - 118 + 2*l + 116. What is the tens digit of v(x)? 1 Suppose 268*z = 257*z + 10670. What is the tens digit of z? 7 Let q(f) = -f**3 - 2*f**2 + 19*f + 7. What is the hundreds digit of q(-9)? 4 Suppose -4*a + 2 + 2 = 0. Suppose 0 = -0*u - u - a. Let p = u + 3. What is the units digit of p? 2 Let l(s) = -s**2 + 13*s + 13. Let r be l(14). What is the units digit of r - ((-3)/(-6))/((-3)/1140)? 9 Suppose -4*o + 5*o - 5*v = 2, -4*o = -v - 8. Suppose n - b = 70, -4*b - 138 = -4*n + o*n. What is the tens digit of n? 7 Let l(h) = 3*h**3 - 3*h**2 + 3*h - 2. Let q = -30 - -24. Let b be (-5)/(q/4 + -1). What is the units digit of l(b)? 6 What is the units digit of 9/(2/(20/(-15))) - -1727? 1 Suppose 2*q - 3*q + 136 = -5*c, 2*q + c - 261 = 0. Let l = q - 55. What is the tens digit of l? 7 Let k = -95 - -54. Let t = -29 - k. What is the units digit of 2/6 + 824/t? 9 Suppose 15*r + 11 = 16*r. Suppose -r*a = -3*a - 48. What is the units digit of a? 6 Suppose 18 = t + t. Suppose -3*o + t = 0, y + 2*o = -2*o + 18. Suppose -y*r + 4 = -4*r. What is the units digit of r? 2 Suppose 2*x = x - 2*g + 2254, 0 = -5*x - 2*g + 11270. What is the thousands digit of x? 2 Let w = 13 - -2. Let x(t) = -14 + 10 + t**3 - 13*t - 14*t**2 + 11. What is the units digit of x(w)? 7 Suppose 4 - 8 = 4*q. What is the tens digit of -115*(5 + q + -5)? 1 Let m be 9/15 + (-10)/(-25). What is the units digit of (5 - m) + -1 - -33? 6 Suppose 3921 = 15*m - 12*m. What is the units digit of m? 7 Let w be (-39)/(-26) - (-1)/(-2)*-61. Suppose 0 = x + 4*d - 61, w + 39 = x - d. What is the units digit of x? 9 What is the tens digit of (-1)/(-6) - 60802/(-84)? 2 Suppose -3*g = -l + 230, -2*l + 3*g - 2*g = -485. What is the units digit of l? 5 Let p = 3796 - -1192. What is the units digit of p? 8 Let l(p) = -p**3 - 10*p**2 + 3. Let t be l(-10). Suppose t*i = i + 8. Suppose -i*o + 76 = 12. What is the units digit of o? 6 Suppose -298*r + 293*r = -11600. What is the tens digit of r? 2 Suppose -7*n = -2*n - 30. Let v be n/4 + (-25)/(-10). Suppose 0 = 3*t + 4*y - 36, 3*t - 5 = 5*y + v. What is the units digit of t? 8 Suppose 11*n - 3*n = -448. Let j be (-1 + (-3)/(-21))*n. Suppose 4*a - 68 = j. What is the tens digit of a? 2 Suppose -3*m = 3*u - 45, -3*m - 3*u + 48 = u. Let v = m + -9. Suppose -6 = -v*a + a. What is the units digit of a? 3 Let c = 35 - -27. Let u = c + -22. Let t = 65 - u. What is the tens digit of t? 2 Suppose 4*y + 3*z = 6*z + 6350, z = -5*y + 7947. What is the units digit of y? 9 What is the thousands digit of (9/(-2))/(60/(-17680)) + -2? 1 Let h(u) = u + 2. Let o be h(3). Let y = -30 + 51. Suppose -o*n + 79 = -y. What is the tens digit of n? 2 Let y be (-126)/6*-1*1. Let f = 12 - y. Let v = f + 16. What is the units digit of v? 7 Suppose 0 = -24*p + 19*p + 530. Suppose t - p = -3*a, 4*a = -t - 54 + 196. What is the units digit of a? 6 Let y(w) = 3*w**3 + w**2 + 4*w - 4. Let c(l) = -4*l - 2. Let z be c(-1). What is the tens digit of y(z)? 3 Suppose 1263 = -3*p + 7*p - 3*g, -1545 = -5*p - 3*g. Let o = p + -168. What is the units digit of o? 4 Suppose -26 + 5 = -7*r. Suppose 0 = -w - 4*z + 38, -5*w + r*z + z + 214 = 0. What is the tens digit of w? 4 Suppose 4 - 21 = -17*y. Suppose 3*l = -3*k + 399, -3*l = 5 + y. What is the units digit of k? 5 Let l = 20 + -20. Suppose y + 3*y = -3*z + 431, l = 5*z + y - 724. What is the hundreds digit of z? 1 What is the tens digit of (-4)/((-12)/669) - 0? 2 Let b(z) be the second derivative of z**5/20 + 13*z**4/12 - z**3/2 + 5*z**2 + 4*z. What is the units digit of b(-13)? 9 Suppose -23 = 2*d - 43. Let c = 29 - d. What is the units digit of c? 9 Let u be -16*1/(0 + -4). Suppose -31 = u*n - 223. What is the units digit of n? 8 Let l be (-45)/(-60)*(-8)/(-2). Suppose -5*a - l*o = -144, 0 = -4*a - 5*o + 116 + 7. Suppose 1 = -2*k + a. What is the units digit of k? 3 Suppose 2 = t + 3*o, 3*t + 4*o + 1 = 7. Suppose -11*v + 0 + 22 = 0. What is the tens digit of (12 - (v + 0)) + t? 1 Let c = 44 + -34. Let u = c - -41. What is the units digit of u? 1 Let r(q) = -9*q - 13. Let c be r(-13). Suppose -3*p = p - c. What is the tens digit of 3/((-3)/3) + p? 2 Let l = 223 - -220. Let k = l - 241. What is the hundreds digit of k? 2 Let n be -208*(3 + (-14)/4). Suppose 5*x = -l + 96, -328 = -3*l + x - n. What is the units digit of l? 6 Let v = -927 + 2427. What is the tens digit of v? 0 Suppose -8*v = -15688 - 3472. What is the tens digit of v? 9 Let l(j) = j + 5. Let r be l(-4). Suppose 0 = b + r + 1. What is the units digit of (-6 - b)/(-4)*25? 5 Let b be ((-10)/(-40))/((5/4)/5). What is the tens digit of 1/(70/68 - b)? 3 Let p be (2/4)/((-3)/(-24)). Suppose -p = -v + 1. What is the units digit of 1 - ((v - 3) + -7)? 6 Suppose -3*i = 4*v + 17, 4*i + 40 = v - 8. Let p(q) = 18*q + 2. Let t be p(-2). Let a = i - t. What is the units digit of a? 3 Let x(g) = -4*g - 20. Let z(l) be the second derivative of -l**2/2 + 6*l. Let r(j) = -2*x(j) + 44*z(j). What is the tens digit of r(2)? 1 Suppose 4 - 2 = q. Suppose 111 = 2*w + n + q, 5*w = -3*n + 270. What is the units digit of w? 7 Suppose -4*i + 7864 = -2*w, 0 = 3*i + i - w - 7860. What is the tens digit of i? 6 Let f = 39 + -11. Let q = -17 + f. Suppose q*n - 15*n = -68. What is the tens digit of n? 1 Let j = 15 + -8. Suppose -j*n = -3*n - 216. What is the tens digit of n? 5 Let i(z) = -z**3 + 46. Let u be 2/9 - (-261)/(-81). Let b be 5 + -6 + (-3)/u. What is the tens digit of i(b)? 4 Suppose 0 = -11*b + 31*b - 7040. What is the hundreds digit of b? 3 Suppose 3*s + 4*b - 14732 = -5687, -15089 = -5*s - 2*b. What is the units digit of s? 9 Let i(q) = q**2 - 6*q + 1633. What is the hundreds digit of i(0)? 6 Suppose s = -0 + 12. Let r = s - -3. Let m = -7 + r. What is the units digit of m? 8 Let x = 2 - -1. Let h be (-4)/(-6) + 212/6. Suppose 0 = 3*c + 4*l - h, 0*l = c - x*l - 25. What is the tens digit of c? 1 Let i be 2/(-6) - (-86)/6. Suppose -t + i = -22. What is the units digit of t? 6 What is the tens digit of 1572/(-21)*77/(-22)? 6 Let s = -2 + 2. Let b be (132/10 - 2/10) + -3. Suppose s = 2*h - 4*r + 10, -3*h + 2*r = h - b. What is the units digit of h? 5 Let n(o) = -54*o + 613. What is the hundreds digit of n(-57)? 6 Let j = -125 + 116. What is the units digit of (-21)/(-189) + (-359)/j? 0 Suppose -130*u + 5733 = 2*m - 131*u, 3*m - 8594 = -4*u. What is the units digit of m? 6 Suppose 6*z - 3*z + 43 = 2*d, 18 = d - 5*z. Suppose 0 = -4*p + 4, d - 5 = c + 2*p. What is the tens digit of c? 1 Let j = 1 + 10. Let c = j + -19. Let n = c + 13. What is the units digit of n? 5 Let h = -411 + 49. What is the units digit of (h/6 - 2/12)*-2? 1 Suppose 10*b = -2691 + 10661. What is the units digit of b? 7 Suppose 6*l + 13634 = 23*l. What is the tens digit of l? 0 Suppose 2 = -4*r + 102. Let m be 5/r*5 + -4. Let d = m - -15. What is the units digit of d? 2 Let t be 3*(3 + 0)*-1. What is the tens digit of 318 + t + 4 + -5? 0 Let h = -12 + 2. Let i be (-4)/h*(-2 + 12). Suppose i*z - 107 = -15. What is the units digit of z? 3 Let a be 6 + -1 + -2 + 0. Let i = -34 - -81. Suppose b + 23 = p, a*p - i - 16 = b. What is the tens digit of p? 2 Suppose 0*j + r = -2*j + 1665, 2*j - 1670 = -2*r. What is the hundreds digit of j? 8 Suppose -43 = 2*q + 3*q - k, 4*q + 17 = -5*k. What is the tens digit of (-2 - q)*(-34)/(-3)? 6 Let t = -475 - -329. Suppose -g - 8 - 96 = 0. Let f = g - t. What is the tens digit of f? 4 Let t(f) = 5*f**2 - 6*f**2 - 10*f - 8 + 0*f. Let s(n) = n**2 + 8*n. Let o be s(-7). What is the tens digit of t(o)? 1 What is the thousands digit of (-2 - 668)/(4*(-7)/56)? 1 Suppose 2*p = 3*z + 2, p - 12 = -2*p. Suppose 142 = z*h - 44. What is the units digit of h? 3 Let f be 10/25 - (-334)/(-10). Suppose -22 = 5*x + 18. Let s = x - f. What is the tens digit of s? 2 Let x(u) be the third derivative of 0 + 1/120*u**6 + 1/12*u**5 - 1/4*u**4 + 0*u**3 + 0*u - 7*u**2. What is the units digit of x(-5)? 0 Let a be 15/7 - (-4)/(-28). Suppose -3*i + 15 = -p, -2*i - 1 + 11 = a*p. Suppose -i*b = -9*b + 116. What is the units digit of b? 9 Let o be (11 + -8)*4/3. Suppose 0 = 2*r + 4*l + 5 + 5, 2*r - o*l = 14. Let h(a) = 17*a - 1. What is the units digit of h(r)? 6 L
{ "pile_set_name": "DM Mathematics" }
the prime factors of 94352801? 94352801 What are the prime factors of 543730931? 543730931 What are the prime factors of 226505180? 2, 5, 11, 1029569 List the prime factors of 52860471. 3, 101, 174457 What are the prime factors of 159835479? 3, 17, 3134029 List the prime factors of 46483988. 2, 37, 89, 3529 What are the prime factors of 1097734647? 3, 9413, 38873 List the prime factors of 6207447. 3, 23, 89963 What are the prime factors of 35370845? 5, 31, 228199 What are the prime factors of 39059390? 2, 5, 647, 6037 What are the prime factors of 310969968? 2, 3, 863, 7507 List the prime factors of 43098179. 17, 2535187 List the prime factors of 475048521. 3, 52783169 What are the prime factors of 1295008927? 4909, 263803 What are the prime factors of 1614211816? 2, 7, 137, 210403 List the prime factors of 309993865. 5, 229, 270737 What are the prime factors of 1164083982? 2, 3, 19, 853, 11971 What are the prime factors of 893867806? 2, 13, 19, 1809449 What are the prime factors of 19295709? 3, 47, 136849 List the prime factors of 61758341. 19, 41, 79279 What are the prime factors of 2942202257? 17, 173070721 List the prime factors of 417983290. 2, 5, 41798329 List the prime factors of 1767359092. 2, 441839773 List the prime factors of 159805611. 3, 7, 362371 List the prime factors of 22697976. 2, 3, 7, 19301 What are the prime factors of 1025726936? 2, 13, 9862759 What are the prime factors of 409147236? 2, 3, 43, 113, 2339 What are the prime factors of 344278014? 2, 3, 57379669 List the prime factors of 86123894. 2, 43061947 List the prime factors of 2362064917. 42359, 55763 What are the prime factors of 78745753? 78745753 List the prime factors of 1148808483. 3, 127645387 List the prime factors of 380622668. 2, 19, 5008193 What are the prime factors of 500417854? 2, 23, 3067, 3547 What are the prime factors of 347014062? 2, 3, 19, 31, 71, 461 List the prime factors of 61556607. 3, 7, 31, 43, 733 List the prime factors of 1154700471. 3, 19, 499, 40597 What are the prime factors of 15135792? 2, 3, 7, 107, 421 List the prime factors of 293025976. 2, 29, 53, 23831 What are the prime factors of 1084071942? 2, 3, 19, 1193, 2657 What are the prime factors of 3940553097? 3, 13, 17, 660391 List the prime factors of 3306531113. 1117, 2960189 List the prime factors of 102142825. 5, 181, 22573 What are the prime factors of 1835348413? 461, 1019, 3907 What are the prime factors of 6510386912? 2, 17, 163, 73421 What are the prime factors of 156165839? 1597, 97787 What are the prime factors of 103361523? 3, 34453841 List the prime factors of 23437191. 3, 29, 269393 What are the prime factors of 32884749? 3, 17, 37, 157 What are the prime factors of 164502731? 164502731 List the prime factors of 642458263. 83, 7740461 List the prime factors of 167110694. 2, 83555347 List the prime factors of 1810172328. 2, 3, 75423847 List the prime factors of 470156016. 2, 3, 11, 151, 5897 What are the prime factors of 1714970737? 1714970737 What are the prime factors of 24152570? 2, 5, 13, 185789 What are the prime factors of 295045969? 295045969 What are the prime factors of 2750058551? 1217, 2259703 List the prime factors of 103996703. 607, 171329 List the prime factors of 2147347804. 2, 7, 23, 29, 31, 3709 What are the prime factors of 15202067? 15202067 List the prime factors of 80143311. 3, 19, 131, 10733 List the prime factors of 3043947. 3, 1014649 What are the prime factors of 40534230? 2, 3, 5, 11, 113, 1087 What are the prime factors of 4990463? 4990463 What are the prime factors of 721881907? 137, 5269211 What are the prime factors of 496397886? 2, 3, 82732981 List the prime factors of 86502936. 2, 3, 13, 17, 47, 347 What are the prime factors of 88421838? 2, 3, 71, 207563 List the prime factors of 1483900854. 2, 3, 247316809 List the prime factors of 68403754. 2, 4447, 7691 List the prime factors of 71824990. 2, 5, 103, 137, 509 What are the prime factors of 630187239? 3, 11, 157823 What are the prime factors of 99278660? 2, 5, 13, 381841 List the prime factors of 690828824. 2, 7, 373, 33073 List the prime factors of 450829827. 3, 7, 2385343 What are the prime factors of 383298386? 2, 193, 993001 List the prime factors of 389201647. 389201647 What are the prime factors of 113160132? 2, 3, 1047779 List the prime factors of 93824071. 11, 17, 19, 26407 List the prime factors of 1448285501. 13, 111406577 What are the prime factors of 3781957? 71, 53267 What are the prime factors of 78521414? 2, 19, 401, 5153 List the prime factors of 6377070332. 2, 71, 22454473 What are the prime factors of 1655643171? 3, 7, 13, 6064627 List the prime factors of 378679237. 378679237 List the prime factors of 260487075. 3, 5, 23, 151007 List the prime factors of 151293891. 3, 7, 7204471 What are the prime factors of 351392368? 2, 227, 96749 List the prime factors of 100175147. 443, 226129 List the prime factors of 71467680. 2, 3, 5, 148891 What are the prime factors of 60629087? 31, 1955777 List the prime factors of 1226664950. 2, 5, 7, 3504757 What are the prime factors of 21495973? 17, 19, 61, 1091 What are the prime factors of 72828458? 2, 36414229 What are the prime factors of 2380288174? 2, 11, 223, 653, 743 List the prime factors of 8636332. 2, 2159083 List the prime factors of 94267042. 2, 103, 457607 List the prime factors of 270539087. 7, 13, 23, 61, 163 What are the prime factors of 572304553? 67, 839, 10181 List the prime factors of 21388983. 3, 7, 11, 92593 List the prime factors of 330169206. 2, 3, 17, 190409 List the prime factors of 1186426399. 1186426399 What are the prime factors of 214004558? 2, 23, 4652273 What are the prime factors of 337185116? 2, 719, 117241 List the prime factors of 259902342. 2, 3, 7, 1153, 1789 List the prime factors of 299919748. 2, 74979937 List the prime factors of 55554156. 2, 3, 7, 89, 2477 List the prime factors of 17992044. 2, 3, 7, 7933 List the prime factors of 3534978752. 2, 55234043 What are the prime factors of 30278481? 3, 47, 214741 What are the prime factors of 1306432920? 2, 3, 5, 13, 547, 1531 What are the prime factors of 39201476? 2, 23, 426103 List the prime factors of 2455693019. 13, 19, 9942077 List the prime factors of 97307278. 2, 383, 127033 List the prime factors of 17184800. 2, 5, 21481 What are the prime factors of 2143898880? 2, 3, 5, 558307 List the prime factors of 462005987. 18233, 25339 List the prime factors of 7514635. 5, 229, 6563 What are the prime factors of 288949396? 2, 701, 103049 What are the prime factors of 21874174? 2, 7, 227, 6883 What are the prime factors of 112984556? 2, 23, 769, 1597 What are the prime factors of 728739574? 2, 719, 506773 List the prime factors of 282843864. 2, 3, 347, 11321 List the prime factors of 1010168037. 3, 389, 96179 List the prime factors of 152160559. 307, 495637 List the prime factors of 24306620. 2, 5, 13, 93487 List the prime factors of 1560118333. 1560118333 List the prime factors of 130798443. 3, 127, 343303 What are the prime factors of 1722060004? 2, 7, 4457, 13799 What are the prime factors of 112583817? 3, 4169771 List the prime factors of 1383867843. 3, 461289281 What are the prime factors of 6706435773? 3, 83, 2089, 12893 What are the prime factors of 1971851255? 5, 11, 19, 31, 60869 List the prime factors of 12699378. 2, 3, 705521 List the prime factors of 17750813. 29, 53, 11549 What are the prime factors of 59284277? 13, 829, 5501 List the prime factors of 6310900. 2, 5, 223, 283 List the prime factors of 346213244. 2, 13, 6657947 List the prime factors of 1981022909. 1981022909 List the prime factors of 2147170204. 2, 127, 4226713 List the prime factors of 550297046. 2, 13, 21165271 What are the prime factors of 87791980? 2, 5, 659, 6661 List the prime factors of 963815448. 2, 3, 307, 130811 List the prime factors of 5534603545. 5, 103, 10746803 List the prime factors of 55716613. 149, 373937 What are the prime factors of 101958388? 2, 7, 3641371 List the prime factors of 409840513. 797, 514229 List the prime factors of 52211932. 2, 23, 59, 9619 List the prime factors of 5835767863. 19, 307145677 List the prime factors of 570036910. 2, 5, 57003691 What are the prime factors of 7422168936? 2, 3, 7, 13, 47, 72307 List the prime factors of 58733
{ "pile_set_name": "DM Mathematics" }
12/54 - 3/((-270)/(-650)). Let k = -1 - -2. What is the closest to k in 1, 2, v? 1 Let k = 75 - 527/7. Which is the closest to k? (a) 0 (b) 1/4 (c) -1 a Let o be 4 - (1368/357 - (-10)/35). What is the nearest to 3 in -2, o, 0, -1/2? 0 Let s = 1151/2965 + 7/593. Let d be 8/(-6) + (-2)/(-3). Let u be 0 - -2 - 9/5. What is the closest to s in u, d, -2/7? u Let q = -0.0942 - -3.0942. Let y be 3*(1 - 0 - 2). Let z = -11/3 + 4. What is the nearest to z in -5, y, q? q Let k = -151/70 - 12/35. Suppose 0 = -3*z + 4*l + 20, 314*z - 25 = 315*z + 5*l. What is the closest to k in z, 5, -2? -2 Suppose -4*q - 2*q = 108. Let x be (q/(-48))/((-27)/12). Which is the nearest to -1? (a) x (b) 7 (c) 1/5 a Let d = 95/2 - 47. Let x = 0.09 - -0.09. Let o = x - -0.82. Which is the nearest to 1/6? (a) d (b) -1/5 (c) o a Let z = -5.82 + 5.92. What is the nearest to 1 in 1, -2/15, z, 5? 1 Let u = 2.18 + -1.88. Which is the closest to 2? (a) -1/7 (b) 0.2 (c) u c Let t = 3.8 - 27.8. Let i = -12 - t. Let f = i - 16. Which is the nearest to f? (a) 1 (b) 3 (c) 0.5 c Let d be (4/(-10))/(144/270). What is the nearest to 0 in -2, -5, -3, d? d Let l = 8394 - 8393.6. Let w be 2/6 + 8/(-18). What is the closest to -0.05 in 1, l, w? w Let i = 0.58 - 0.509. Let l = -2.071 + i. What is the closest to -2/5 in 1, l, 4? 1 Let o = 0.1 - 4.1. Let g = -0.0804 - 0.3196. Which is the closest to -5? (a) o (b) g (c) 0.1 a Let x = -14.1 + 14.1. Let h = 8 + -10. Let p = -0.8 - -1. Which is the nearest to h? (a) x (b) p (c) -1/4 c Let z = 45/2 - 319/14. Let n = -2616.7 + 2617. What is the nearest to z in n, -0.5, 5? -0.5 Let v = 2 + -2. Let s = 3.348 - 0.108. Let d = -0.76 - s. Which is the closest to v? (a) -5 (b) d (c) -3 c Let w = -103 - -99. Which is the closest to -3? (a) w (b) 1/10 (c) -0.1 a Let v = 48/73 - 190/511. Let w = -7 - 8. Which is the nearest to -1/4? (a) w (b) 0 (c) v b Let o = 0 - -0.03. Let t be (3 - 99/36)/(2 - 3). What is the nearest to -2/7 in o, t, 0.4? t Let m = -0.2 + 0.4. Let t = -2.464 - -2.164. Which is the nearest to t? (a) 0 (b) m (c) -1 a Let n = 13/9 - 10/9. Let t = -5256 + 5255.9. Which is the nearest to 9? (a) -3/4 (b) t (c) n c Let f be (1/8)/((-63)/42)*2. Which is the nearest to f? (a) -5 (b) -2 (c) -7 b Let h be (-2)/(-3)*(-24)/40. Let m = -4.07 + 0.07. Let i be 6/(-39) - 2/(52/(-17)). Which is the nearest to i? (a) h (b) m (c) 1/5 c Let j be -3*(-1 + 96/(-28) + 4). Which is the closest to 0.2? (a) -0.5 (b) j (c) -3 a Let d be 8/(-4)*(-8 + 243/30). What is the nearest to 0 in d, 5, -4, -0.3? d Let n = -145 + 244. Let k = n - 104. Let b = -1 - 0. What is the nearest to b in 0, 5/4, k? 0 Suppose 0*p - 2*p - 2*p = 0. What is the closest to 0.1 in p, -0.5, -1/9? p Let p be ((-45)/18)/((-195)/52). Which is the nearest to p? (a) -1.7 (b) 4 (c) -4 a Let r = -39 - -39.3. Which is the nearest to 2/7? (a) 9/4 (b) r (c) -1/4 (d) -2 b Let d(u) = 6*u - 42. Let q be d(9). Suppose 0*p = 4*p + q. Which is the nearest to -4? (a) p (b) -4 (c) -6 b Let n be 6 + 156/(-15) + 5 + -1. Which is the nearest to 10? (a) n (b) -3/7 (c) 3 c Let w = -413 - -412.7. Which is the closest to w? (a) -2/11 (b) 0 (c) -1/2 a Let w be (3/165*6)/(21/35). What is the closest to 1 in -2/13, 0.5, w? 0.5 Suppose f + 9 = 4*f. Let j = -5.3 - 1.5. Let z = 7 + j. What is the closest to z in f, 2, -0.5? -0.5 Let o = -658 + 653. Which is the nearest to -13? (a) 0.2 (b) -2/7 (c) o c Suppose -5*t - 27 = 4*d, -5*t - 1 - 30 = 2*d. Suppose 0*v - 3 = -v. Which is the closest to t? (a) v (b) -0.3 (c) -2/7 b Let o = -2.1 - -2. Let x(r) = -2*r**2 + 3*r - 2. Let s be x(1). Let q be ((-24)/(-30))/(s/5). Which is the closest to o? (a) 5 (b) 0.1 (c) q b Let v = 0.598 + -2.598. Let n = -97.57 - -97. Let i = n + -0.03. Which is the closest to 0? (a) 1 (b) i (c) v b Let y = -1.83 + 0.83. Which is the nearest to 0? (a) -4 (b) -31 (c) y c Let r = 201.5 + -201. What is the nearest to -0.2 in 0.1, r, 0.6? 0.1 Let z be (2 - 21/3 - -2)*2. Let u be 115/(-60) - 0 - z/9. What is the closest to -1 in -3, u, 0.5? u Let n(s) = 8*s**2 + s**3 - 5 + 6*s + 0*s + 2*s**2. Let z be n(-10). Let k be 0 + 2 + z/30. Which is the nearest to 1? (a) -1/2 (b) 3 (c) k c Let r = 496 - 495.9. Which is the closest to -1/3? (a) r (b) 18 (c) 6 a Suppose -2*q - 5 = -3*q. Let a = -0.132 + 0.501. Let k = -0.031 - a. What is the closest to 3 in q, k, 3? 3 Let v be (-1 - 3/18)*12/(-63). Which is the closest to 1? (a) 1/2 (b) 2 (c) v (d) 19 a Suppose f + 5*h = -0*h + 1, f - 1 = -3*h. Let r = 52.1 + -52. Suppose -6*u + 3*u = 0. Which is the nearest to f? (a) -3 (b) u (c) r c Let i = -0.063 + -0.937. Suppose 4*r - 9 - 27 = -4*q, 2*r - 2*q = 22. Let k be 48/r - 17/(-85). Which is the closest to i? (a) 1/5 (b) -3 (c) k a Let u = 7 + -6.8. Let x = 9.9 - 10.2. Let j = -3 - -8. Which is the nearest to x? (a) 2/9 (b) u (c) j b Let a be (-10)/(-6)*(-10)/(-25). Let d be 84/60 - 78/120. What is the closest to a in -0.3, 0, d? d Let t = 0.0356 - -3.9644. What is the nearest to 0.2 in -5/4, 2/3, 1, t? 2/3 Let p = 316/39 - 114/13. Let u be (3/63)/(2/6). What is the nearest to u in p, -2/7, 1? -2/7 Let r = 1.96 + 0.04. Let b(q) = -q**2 + 5*q + 7. Let k be b(6). What is the closest to 0.4 in -5/2, k, r? k Let h = 0.5 - 0.3. Let s = -3.6 - -4. Let i = 25 - 23. What is the nearest to h in 0.5, s, i? s Let y = -0.01418 - 2.98582. Suppose 0 = 5*v + 5*m, 5*m + 4 = -0*v - v. What is the closest to y in -5, v, 3/4? -5 Let y = -0.06 - -1.06. Let f be -1 + (-57)/(-21) + (8 - 10). Which is the closest to y? (a) -2 (b) -3 (c) f c Let u = -233.4 + 233. Let d = -96.3 - -90. Let q = d + 6. Which is the nearest to -0.5? (a) u (b) q (c) 1 a Let v = -877/7 + 125. Let i = 2185 + -2187. What is the nearest to v in -1/4, i, 2? -1/4 Let c = 0.126 + -0.526. What is the nearest to -2/25 in c, 0.3, 1? c Let f be (-2*(-1)/(-15))/(22/33). Which is the nearest to 3? (a) 0.4 (b) 2 (c) f (d) 1 b Let g = 0.7031 - 0.3031. Let i = -0.5 + 0.5. What is the nearest to 0 in g, -2/15, i? i Let i = -3 - -2.9. Let g = -0.10797 - -0.00797. What is the closest to g in i, -0.5, 3? i Let v = 2489 - 2488.9. What is the nearest to -1 in 0, 3, v? 0 Let t = -3 - 0. Let h = 14/41 + 40/123. Which is the nearest to h? (a) 0.1 (b) 6 (c) t a Let z = -330 - -328. Which is the closest to z? (a) 4 (b) -0.5 (c) 1/3 b Suppose 4*c - 93 = -r, -5*r - 5*c = -2*r - 244. Let z = r + -359/5. Suppose -25 = -5*g - 4*y, 6*g + 11 = 2*g + 3*y. What is the closest to -0.1 in g, z, 2/9? 2/9 Suppose 0*w = g + w - 6, 3*g + 17 = 4*w. Let y be ((-41)/(-13) - g) + -2. Which is the closest to y? (a) -2/3 (b) 3/2 (c) 0.2 c Let b = -356 - -356. What is the nearest to 0.2 in b, -4, 3/5? b Let o(q) = q**2 + 4*q + 3. Let t be o(-3). Suppose 4*x - 4*x - 8*x = t. Let d = -5 + 9. What is the nearest to -2 in x, d, -2? -2 Let f = 1286 - 1284. What is the nearest to -2 in -22, -4, -3/5, f? -3/5 Let i = -0.903 + 0.503. What is the closest to -1 in 5, -46, -2, i? i Let z = 23039/366 + 298/61. Let u = -68 + z. What is the closest to 2/9 in 0.3, u, 5? 0.3 Let y be 38/70 - 11/77. Let w = -2 + 2.4. Let n = 4.6 + w. Which is the closest to -1? (a) n (b) -1/2 (c) y b Let t = -979 - -978.7. What is the closest to 0.2 in -3, 2, t? t Let y = -77 - -386/5. Let p = 4.02 + -3.82. Let g = 385/6 + -64. What is the nearest to y in g, -5, p? p Let i = -61/4 + 317/20. Which is the nearest to -0.2? (a) 0 (b) i (c) -9 a Let r = 0.04 - 3.04. Let h = -0.3 - -0.1. Let b(a) = a**2 - 12*a - 5. Let d be b(12). What is the closest to h in -0.3, r, d? -0.3 Suppose 2*h = -0*h - 2. Let g = -0.34 + 4.34. Let l = 41 - 285/7. Which is the closest to l? (a) g (b) 0 (c) h b Let z = -2 + -1. Let s = 1384/3485 + 2/697. Let i = 4 - 4.1. What is the nearest to i in s, 1, z? s Let w = 2 + 0. Let u = -71 + 70. What is the closest to u in w, -2, -1/3? -1/3 Suppose 2*p - 10*u - 22 = -5*u, -2*u = 4. Which is the nearest to -1/4? (a) -5 (b) p (c) -3 c Let v = 143 + -122. Let q be (((-9)/(-6))/(-3))/(v/7). What is the closest to 0.1 in -12, 2, q? q Suppose v + n - 4 = 0, 9*v + 3*n + 4 = 10*v. Let w = -0.7 + 1. Which is the nearest to w? (a) v (b) -1/4 (c) -4 b Let w(z) = 3*z**3
{ "pile_set_name": "DM Mathematics" }
p(-8). Let z(u) = 14*u + 5. Give z(a). 5 Let x(v) be the second derivative of v**4/12 - 7*v**3/6 + 9*v**2/2 - 17*v. Let n be x(6). Let a(f) = n*f - 4 - 8*f + 4. Give a(-2). 10 Let g(j) = j**2 - 10*j - 17. Suppose -2*c = 2*w + 34 - 56, 0 = -5*w - c + 55. What is g(w)? -6 Let d(v) = v**2 - 5. Let q(r) = -5 - 13 + 3 - 15*r - 3 - 3*r**2. Let g be q(-4). Give d(g). 31 Suppose 5*z - 2*j = -15, 496 - 526 = 3*z + 3*j. Let q(h) = -53*h - 271. Give q(z). -6 Let p = -587 + 830. Let r = p - 249. Let m(j) = -j**3 - 7*j**2 - 3*j + 2. Determine m(r). -16 Let k(w) = -30*w - 892. Let d be k(-30). Let v(m) = 16*m - 67. What is v(d)? 61 Let n(c) = 16*c - 38. Let r(j) = -53*j + 124. Let x(d) = 13*n(d) + 4*r(d). Determine x(1). -2 Let s(d) be the third derivative of -23*d**6/120 - d**5/12 - d**4/8 + d**3/6 + 2*d**2 + 2757*d. Give s(-2). 171 Let l(a) be the third derivative of a**5/60 - a**4/6 - 5*a**3/6 + 1455*a**2. Determine l(-6). 55 Let c be ((-6)/8)/(48/(-128)). Let z(m) = -7*m - 5 + m**c - 3 + 0*m**2. Give z(7). -8 Let q be 24/21*(693/(-18))/(-11). Let c(o) = 20 - 9 + o**2 - q*o - 9 - 2*o**2. Determine c(-5). -3 Let x(i) be the third derivative of -i**5/30 - 5*i**4/24 - 7*i**3/6 + 3943*i**2. Determine x(-6). -49 Let i(o) = -o**2 - 4*o**2 + 18 - 19 + 3*o**2 + o**2. Calculate i(-3). -10 Let f(t) = -t**2 + 3*t - 1. Suppose 4*i - 2 - 2 = 0, 4*k + i - 5 = 0. Suppose -k = -3*z + 23. Suppose b = z - 6. Calculate f(b). 1 Let n be ((-24)/9)/(2 + (-40)/18). Suppose n*v + 25 = -47. Let h(f) = -f**3 - 6*f**2 + 5. Calculate h(v). 5 Let f(a) = 2*a - 26*a**2 + 290*a**2 - 306*a**2 + 1. Give f(1). -39 Let w(z) = z**3 - z**2 + 1. Let d(a) be the third derivative of -a**6/40 - a**5/30 + a**4/6 + a**3/6 + a**2 + 9*a. Let u(i) = d(i) + 2*w(i). What is u(-5)? 8 Let i(x) be the first derivative of x**3/3 - 2*x**2 + 6*x + 1063. Let j = -2 - -4. Suppose 0*m = j*m - 12. Determine i(m). 18 Suppose 0 = 5*h - 3*u - 651, -19 + 406 = 3*h - 3*u. Let y(b) = -131*b - 48 + h*b + 47. Give y(-4). -5 Let j(i) be the second derivative of 2*i**3/3 - 11*i**2 + 67547*i. Let l(k) = -4*k - 6. Let n be l(-4). Give j(n). 18 Suppose 5*u + 82 - 552 = 0. Let k(m) = 29 + 31 - u + 2*m + 21. Determine k(6). -1 Let i(j) = 142*j - 492. Let y(q) = 84*q - 246. Let n(o) = -4*i(o) + 7*y(o). Determine n(-12). 6 Let k(u) = -76*u + 2. Let p be k(0). Let o(m) = -11*m**2 + 21*m + 4. Let h(w) = -5*w**2 + 9*w + 2. Let a(v) = p*o(v) - 5*h(v). Determine a(-3). 34 Let v(n) = 92 - 101 + n**3 - 4*n - 6*n**2 - n**2 + 6*n. Suppose 4*w - 12 = 16. What is v(w)? 5 Let h(q) = q**2 - 6*q - 5. Let t = -252 - -244. Suppose 0 = 5*r - 15, -w - 32 - 20 = 2*r. Let i be w/t - 1 - (-2)/(-8). Calculate h(i). -5 Let i(n) = n**3 + 4*n**2 + 3*n + 4. Let h = 27 + -35. Let q = -3 - h. Suppose -q*m = 10 + 5. Determine i(m). 4 Let c(g) = 233*g + 19100. Let s be c(-82). Let y(w) be the second derivative of w**5/20 + 7*w**4/12 + 2*w**3/3 - 7*w**2/2 + w. Determine y(s). 5 Let s(q) = -3*q. Suppose 11 + 2 = 13*n. Let w(z) = n - 3*z**2 - 1 + 21*z - 3 + 18*z. Let l be w(13). Give s(l). 9 Let q(i) = i + 11. Let l be q(-6). Let m(w) = -1537*w**2 + 3 + 768*w**2 + 771*w**2 - 5*w. Calculate m(l). 28 Let p(t) = 11*t + 4. Let f be 1*4/((-32)/20)*2. Let s(x) = -14*x - 5. Let l(b) = f*p(b) - 4*s(b). Let o = -4 - -6. Determine l(o). 2 Let g(m) = 14 + 13 + 11*m - 1 - 6 + 2. What is g(-6)? -44 Let w(z) = -z**2 - 20*z + 47. Let b be w(2). Let q(v) = -7 - b*v + 0*v**3 + v**3 - 4*v + 0*v + 7*v**2 + 8*v. Determine q(-7). -14 Let l(k) = 28 + 25 - 5*k + 4 - 7 + 35. Calculate l(15). 10 Let x(b) = 2*b. Let s(h) = h**2 - 10*h + 2. Let p be s(10). Suppose -p*r = -5*y + 11, -y + 7 = 3*r - 2. Suppose k + 0 = -r. Calculate x(k). -4 Let g be (2394/105 - 23)*5. Let q(v) = 6*v**3 + 3*v**2 - 5*v - 8. Determine q(g). -6 Let q(s) be the second derivative of -s**3/6 + s**2/2 + 98*s. Suppose -k - 5*o = -0*k - 3, 3*o = 2*k - 19. Calculate q(k). -7 Let v(z) = 4*z**2 + 26*z + 12. Let k be v(-6). Let y(f) be the second derivative of 8*f + 2/3*f**3 + k - 5/12*f**4 + 1/2*f**2 + 1/20*f**5. Give y(3). -5 Let c(f) = 379 - 97*f**3 + 96*f**3 - 2*f - 420 + 8*f**2. Calculate c(7). -6 Suppose -2*p + 11 = -4*d + 5, 0 = 5*d. Let h(n) = 0 - 251*n**2 + 14*n**p + 249*n**2 + 1. Suppose 1 = i - 2*i. Determine h(i). -15 Let d(n) = 3*n**3 + 20*n**2 - 7*n - 3. Let m be 103/(-15)*1 + -11 + 489/45. Determine d(m). -3 Let w = -79 - -81. Let d(z) = -37*z - 1. Determine d(w). -75 Let a(t) = 321*t + 11559. Let z be a(-36). Let f(s) be the first derivative of -5 - 2*s - 1/3*s**z - 9/2*s**2. Determine f(-6). 16 Let c(n) = -7*n**2 + 8*n - 5. Suppose 2*z + 4*o = -28, -37 = 2*z - 261*o + 266*o. Determine c(z). -85 Let i be 1 + 4*232/(-224) + 1/7. Let m(d) = -15*d - 11. What is m(i)? 34 Let j(k) be the third derivative of k**4/6 + 2*k**3/3 - k**2 - 94*k. What is j(-6)? -20 Let a(v) = -29*v**2 + 88*v - 13. Let z(i) = -13*i**2 + 38*i - 6. Let c(g) = 3*a(g) - 7*z(g). Determine c(1). 5 Suppose 12*z - 17 - 9 = -14*z. Let q(k) be the second derivative of -2/5*k**5 - 1/6*k**4 + 1/3*k**3 - 1/2*k**2 + 0 - 2*k. Give q(z). -9 Let m(l) = -18*l - 8*l**2 - 2*l**3 + 14*l**2 + 23*l**2 + 8*l**2 - 3. Calculate m(18). -3 Let q(x) be the second derivative of 0 - 6*x**2 + 1/6*x**3 - 38*x. Calculate q(-10). -22 Let b(s) = s**3 + s - 6. Let a be b(0). Let j(h) be the second derivative of -h**3/6 - 5*h**2 - 15*h - 247. What is j(a)? -4 Let j(p) = -35*p**2 + 8239*p**3 - 8238*p**3 + 18*p**2 - 37 + 2*p. Calculate j(17). -3 Let t(b) = -b**3 + 2*b**2 + 5*b. Let j(u) = -16*u**3 + 25*u**2 + 86*u + 42. Let h(i) = j(i) - 15*t(i). What is h(-5)? -13 Let d(i) = 3*i**3 + 20*i**2 - 12*i - 10. Let s(c) = 8*c**3 + 57*c**2 - 35*c - 28. Let b(v) = -11*d(v) + 4*s(v). Determine b(7). -9 Let t(r) = r - 8*r**2 - 1 + r - 5*r + 14*r**2 - 2*r. Give t(2). 13 Let n be ((-4)/8*4 - 6) + 3. Let q(a) be the third derivative of -1/10*a**5 - 1/4*a**4 - 1/120*a**6 + 0*a + 1/6*a**3 + 0 - 6*a**2. Determine q(n). 6 Let d(t) = 67*t**2 + 6 + 67*t**2 - 121*t**2. Let s(h) = 24*h**2 - h + 11. Let y(k) = -5*d(k) + 3*s(k). Determine y(1). 7 Let o(p) be the third derivative of -19*p + 3*p**2 + 1/3*p**4 + 0 - 1/60*p**5 + 5/6*p**3. What is o(6)? 17 Let k(a) = -18*a + 61*a - a**2 + 2*a**2 - 26*a - 1. What is k(-18)? 17 Let p(m) = 5*m**3 - 3*m**3 - 2*m**2 + 12 - m**3 - 9*m - 3*m**2. Let g be p(9). Let x(z) = 254*z - 1 - 1 - g*z. What is x(-9)? 7 Suppose 15*w + 19 = 139. Suppose w*x - 66 = -18. Let n(f) = 4*f - 2 - 3*f + f - 2. Determine n(x). 8 Let d(i) be the second derivative of -i**5/20 - 5*i**4/6 - i**3 + 15*i**2 + 988*i. Determine d(-9). 3 Let t(v) = -11*v - 4. Let a(k) = -37*k + 7*k - 31*k + 24 - 43 + k. Let b(j) = 2*a(j) - 11*t(j). Give b(-6). 0 Let a(f) = -5 + 899*f - 913*f + 0 + 22 + 16. Calculate a(2). 5 Let n(u) = 42*u + 30. Let s be n(4). Let i(l) = s*l + 200*l - 397*l. Let f(a) = -a**3 + 3*a**2 - a - 3. Let v be f(3). Give i(v). -6 Let j(i) = 6*i**2 + 6*i + 12. Suppose -2*t - 3 = -1. Let s(w) = -18*w - 139. Let r be s(-8). Let d(a) = a**2 + a + 1. Let c(n) = r*d(n) + t*j(n). What is c(0)? -7 Let o(d) = -11*d**3 - d**2 - 17*d - 31. Let f(c) = -6*c**3 - 9*c - 17. Let r(j) = 9*f(j) - 5*o(j). Determine r(-4). 2 Let k(d) = 3*d**3. Let b be k(1). Let q(i) = -9*i + 1 - 8*i**2 + b*i**2 + 12 + 6*i**2. Let u(c) = -c**2 + 7*c - 12. Let g(y) = 6*q(y) + 7*u(y). Calculate g(-6). -12 Let l(a) = -3*a - 48*a**2 + 2 + 3*a + 55*a**2 - 12*a**2. Calculate l(-1). -3 Let h(j) = -j**2 + 7*j + 9. Let s(l) = -l**2 + 8*l + 8. Let u(f) = -2*h(f) + 3*s(f). Let b = 152 - 142. Calculate u(b). 6 Let g(c) = -11 - 10*c + 20*c + 21*c + 10*c - 53*c. Calculate g(-3). 25 Let i(m) be the second derivative of m**3/6 - m**2/2 - 4*m. Suppose 2*w - 23 = -5*u, -w + 4*u - 31 = -4*w. Suppose -w*v = -0*v + 36. Calculate i(v). -5 Let z(i) = -28*i**2 - 5*i + 29*i**2 + 2 - 5 - 4. Let l(c) = -2*c**2 + 14*c + 20. Let g(k) = 6*l(k) + 17*z(k). Determine g(1). 5 Let x(l) = 2*l**3 + 9*l**2 - 29 - 10*l**2 + 12*l + 52 - 30 - 20*l**2. Give x(10). 13 Let t(b) = 9*b - 2. Let x(k) = -k + 3. Let g be x(2). Let o be t(g). Suppose 5*w + 13 = -o. Let s(c) = -c**2 - 2*c + 2. What is s(w)? -6 Let v(o) = 10*o**2 - 2*o + 4. Suppose 2*p - 10 = -2*x, -43*p + 46*p - 6 = 0. What is v(x)? 88 Let i(j) = -j**3 + 9*j**2 - 11*j + 6. Suppose 5*p + 0 = -2*y
{ "pile_set_name": "DM Mathematics" }
, -3, -4 Put 20, 0, 1, -4 in decreasing order. 20, 1, 0, -4 Put 0.6, -1, 0.2 in descending order. 0.6, 0.2, -1 Sort -0.5, -0.2, 3/5, -3 in descending order. 3/5, -0.2, -0.5, -3 Put 1, -10, -2, -1 in increasing order. -10, -2, -1, 1 Put -0.3, -0.0918, 4 in decreasing order. 4, -0.0918, -0.3 Sort -3, 4, 17 in decreasing order. 17, 4, -3 Put -1, 0.5, 4 in decreasing order. 4, 0.5, -1 Sort 13, 4, -2, 1. -2, 1, 4, 13 Sort -2, 0, -24, 5 in increasing order. -24, -2, 0, 5 Sort 4, 15, -5, 2 in decreasing order. 15, 4, 2, -5 Sort -30, 0, -4, 6 in descending order. 6, 0, -4, -30 Sort 7/6, -1, 111 in ascending order. -1, 7/6, 111 Sort -1, 0, -6463 in ascending order. -6463, -1, 0 Sort 7, 195, 5 in descending order. 195, 7, 5 Put 0.2, -1, 0, 2/5 in ascending order. -1, 0, 0.2, 2/5 Sort -16, 3, 100 in descending order. 100, 3, -16 Put 1, 3, 5, -34 in decreasing order. 5, 3, 1, -34 Sort -11, -4/3, -1, 3. -11, -4/3, -1, 3 Sort 0.0433, -1, -0.2, -4 in descending order. 0.0433, -0.2, -1, -4 Sort 3, 145, 1, 4 in descending order. 145, 4, 3, 1 Sort -4, -4/9, 4/3 in increasing order. -4, -4/9, 4/3 Sort 5, 2/5, -1.7 in decreasing order. 5, 2/5, -1.7 Sort -1, 6, -7, -2 in decreasing order. 6, -1, -2, -7 Put -3, 3, 18, 4 in decreasing order. 18, 4, 3, -3 Sort 1/8, 1/2, -5, 17. -5, 1/8, 1/2, 17 Sort 4, -0.2, 0, 14, 1/5. -0.2, 0, 1/5, 4, 14 Sort -4, -0.3, 0.09, -3/5, -3/35. -4, -3/5, -0.3, -3/35, 0.09 Sort -8, 1, -11 in descending order. 1, -8, -11 Put 339, -5, -4, 0 in decreasing order. 339, 0, -4, -5 Sort 5, 2/15, 0.1, -0.1 in descending order. 5, 2/15, 0.1, -0.1 Sort -4, -39, 1 in descending order. 1, -4, -39 Sort 36/17, -1, 0.01. -1, 0.01, 36/17 Sort -0.1, 0.5, -5 in descending order. 0.5, -0.1, -5 Sort 4, -7, 2, -1. -7, -1, 2, 4 Sort -14, 5, -7 in descending order. 5, -7, -14 Sort 2/33, -22, -2/3, -1 in increasing order. -22, -1, -2/3, 2/33 Sort -5, 1, 0.282, -2/3, 0.2 in decreasing order. 1, 0.282, 0.2, -2/3, -5 Put 0.37, -2/39, 1, 3 in descending order. 3, 1, 0.37, -2/39 Sort 2/5, 4, 5/12, -0.8, -0.5 in descending order. 4, 5/12, 2/5, -0.5, -0.8 Put 0, 48, 3, 13 in descending order. 48, 13, 3, 0 Sort 11, 3, -3, -8, 4 in descending order. 11, 4, 3, -3, -8 Put -3/11, -4/9, 5/29 in decreasing order. 5/29, -3/11, -4/9 Sort -25, 1, -3, 0 in ascending order. -25, -3, 0, 1 Put 21, 5, 3 in increasing order. 3, 5, 21 Sort 4/5, -79/3, 0.3 in ascending order. -79/3, 0.3, 4/5 Put 10, 3, -4, 4 in descending order. 10, 4, 3, -4 Put 0.2, 0.26, 5, -3, 0 in descending order. 5, 0.26, 0.2, 0, -3 Sort -4, -2, 5, 3, -82 in increasing order. -82, -4, -2, 3, 5 Sort -6, 3, -14 in descending order. 3, -6, -14 Sort 119, -3, 9 in descending order. 119, 9, -3 Sort 3, -5, 26 in increasing order. -5, 3, 26 Put 5, -59, -1/3 in decreasing order. 5, -1/3, -59 Put 41, 2, -1, 3 in decreasing order. 41, 3, 2, -1 Sort -6, 2, -2, 0, 7 in ascending order. -6, -2, 0, 2, 7 Sort -8, 4, -2, 0 in decreasing order. 4, 0, -2, -8 Put 8, 2, -1, -9 in descending order. 8, 2, -1, -9 Put 0, -441/5, 1, 3 in descending order. 3, 1, 0, -441/5 Sort 0.5, 5, 3, -50. -50, 0.5, 3, 5 Put -23, -21, -1, 5 in decreasing order. 5, -1, -21, -23 Sort 0, -0.4, -0.022, -0.2 in increasing order. -0.4, -0.2, -0.022, 0 Put 2, 12, -194, 5 in ascending order. -194, 2, 5, 12 Sort -8/103, -2, 0.5 in decreasing order. 0.5, -8/103, -2 Put 21, -1/3, -3.5 in ascending order. -3.5, -1/3, 21 Put 436, -0.4, 2/3 in increasing order. -0.4, 2/3, 436 Sort -5, 0, 0.1, -6/19 in descending order. 0.1, 0, -6/19, -5 Sort 3/2, 0.1, 1/4, -1 in ascending order. -1, 0.1, 1/4, 3/2 Sort -1/2, -5/3, 24, -3, 1/4. -3, -5/3, -1/2, 1/4, 24 Sort 0, -3, -5, -487 in ascending order. -487, -5, -3, 0 Sort 3, 0.2, -2/21, 4 in descending order. 4, 3, 0.2, -2/21 Sort 1, -3, -11, -5, 5 in descending order. 5, 1, -3, -5, -11 Put -1, -14, 2, -3 in descending order. 2, -1, -3, -14 Sort 3/7, 1/4, -5, 0.5, 0.3. -5, 1/4, 0.3, 3/7, 0.5 Sort 123, 0.1, -6, -3/2 in ascending order. -6, -3/2, 0.1, 123 Put -2, -33, -7 in increasing order. -33, -7, -2 Sort -2, -5, 4, -16 in decreasing order. 4, -2, -5, -16 Sort -3, 3, -6, -1 in ascending order. -6, -3, -1, 3 Sort -3, 0.5, -24/7. -24/7, -3, 0.5 Sort 1, -12, 2. -12, 1, 2 Sort 3/5, 0, 0.5, 2/13 in ascending order. 0, 2/13, 0.5, 3/5 Sort -2, -3, 3, -119 in decreasing order. 3, -2, -3, -119 Sort 20, 0, 4, -22, 5. -22, 0, 4, 5, 20 Sort -3, 2, -1 in descending order. 2, -1, -3 Sort 73, -2/3, 5, 4/7 in ascending order. -2/3, 4/7, 5, 73 Sort 0.39, 0.8, 7/2 in descending order. 7/2, 0.8, 0.39 Put 13, -27, -3, 4 in decreasing order. 13, 4, -3, -27 Sort 4, -5, 0.3, -6 in descending order. 4, 0.3, -5, -6 Sort 11, 2, 5, 4. 2, 4, 5, 11 Put 0.3, 4, -5/13, 4/5, -0.2 in descending order. 4, 4/5, 0.3, -0.2, -5/13 Put 21, -6, -10, 5 in increasing order. -10, -6, 5, 21 Sort -2, 1, 11, -3 in ascending order. -3, -2, 1, 11 Put 3, -1, 30, -4, 2 in decreasing order. 30, 3, 2, -1, -4 Put -1/42, 4, 0.2, 0 in ascending order. -1/42, 0, 0.2, 4 Put 4, -334, 10, -5 in descending order. 10, 4, -5, -334 Sort 680, -2, 2 in ascending order. -2, 2, 680 Sort -9433, 0.2, -2 in ascending order. -9433, -2, 0.2 Put 8, 30, 1 in descending order. 30, 8, 1 Sort 3, -3, -13 in ascending order. -13, -3, 3 Put -2, 0.4, 1/5, 3/32 in increasing order. -2, 3/32, 1/5, 0.4 Put -5, -11, -10, -4, -2 in ascending order. -11, -10, -5, -4, -2 Put -0.5, 2/13, -2/133 in increasing order. -0.5, -2/133, 2/13 Put -1, 1, -0.071, -0.1 in ascending order. -1, -0.1, -0.071, 1 Put -0.5, 82, 22 in decreasing order. 82, 22, -0.5 Put 4, -0.188, 0 in descending order. 4, 0, -0.188 Put -4, 1, -1, -5, 10 in descending order. 10, 1, -1, -4, -5 Put 113.3, 8, -3 in increasing order. -3, 8, 113.3 Put -2, 3, 4, 6, -48 in increasing order. -48, -2, 3, 4, 6 Sort -69, -5, 3, 2. -69, -5, 2, 3 Sort -6, -0.06, -22 in descending order. -0.06, -6, -22 Put 0.42, -1/8, 0.091, -5 in ascending order. -5, -1/8, 0.091, 0.42 Put 463, 3, -4, -5, -3 in increasing order. -5, -4, -3, 3, 463 Sort -14/11, -1, 5/4 in descending order. 5/4, -1, -14/11 Put -1/3, 0, 9, 6 in increasing order. -1/3, 0, 6, 9 Sort 1, -2, 5, -0.2, -31/2 in ascending order. -31/2, -2, -0.2, 1, 5 Put -0.1, -0.5, -0.45, 0.3 in decreasing order. 0.3, -0.1, -0.45, -0.5 Put 4, 30, 1 in ascending order. 1, 4, 30 Put 4, -2, -1, 3 in decreasing order. 4, 3, -1, -2 Put 6, -1, 2, -5, 1 in decreasing order. 6, 2, 1, -1, -5 Sort -4, 1/22, -0.2 in decreasing order. 1/22, -0.2, -4 Sort -1/5, 20, 1/2, 5, -2/15 in ascending order. -1/5, -2/15, 1/2, 5, 20 Sort 0, 4, -3, -5 in ascending order. -5, -3, 0, 4 Sort -4, 4, 14 in decreasing order. 14, 4, -4 Put 3, 2, 7 in decreasing order. 7, 3, 2 Sort -6, 2, -3, 4 in increasing order. -6, -3, 2, 4 Put 5, -6, 230 in ascending order. -6, 5, 230 Put 115, 0, -4 in ascending order. -4, 0, 115 Sort -1.7, 12, -0.2, -1 in descending order. 12, -0.2, -1, -1.7 Put 0.4, 38, 1/4 in increasing order. 1/4, 0.4, 38 Put -22, 6, 1, 2, -5 in ascending order. -22, -5, 1, 2, 6 Sort -5, -1, -4, 16, 39 in ascending order. -5, -4, -1, 16, 39 Put -2/9, -3.3, -1/3, -0.1 in descending order. -0.1, -2/9, -1/3, -3.3 Put 3/5, 4, 35 in descending order. 35, 4, 3/5 Sort -5, -101, 2, 10 in descending order. 10, 2, -5, -101 Sort -2, -5, -3 in descending order. -2, -3, -5 Sort -3, 0, 2, -79 in decreasing order. 2, 0, -3, -79 Put -6, 0, -11, 1/4, -0.2 in descending order. 1/4, 0, -0.2, -6, -11 Sort 5, 1/4, 0.1. 0.1, 1/4, 5 Sort -1/3, 570, -0.06, 0 in decreasing order. 570, 0, -0.06, -1/3 Sort -4, 54, 0, 2 in descending order. 54, 2, 0, -4 Sort 2, -1, -4, 0, 450 in decreasing order. 450, 2, 0, -1, -4 Put -15, -1, -56 in ascending order. -56, -15, -1 Put -4, 7, -5, -8, -3 in descending order. 7, -3, -4, -5, -8 Put 7, -24, 3 in decreasing order. 7, 3, -24 Sort 5, 3, 2/15, -11/3, -0.2 in increasing order. -11/3, -0.2, 2/15, 3, 5 Put -2/7, -0.2, 9, 2/19 in increasing order. -2/7, -0.2, 2/19, 9 Put -1/7, -5, 2/3, -5/11, -4 in decreasing order. 2/3, -1/7, -5/11, -4, -5 Sort 3, -5, 3/17, 0, -1/12 in ascending order. -5, -1/12, 0, 3/17, 3 Sort 4, 5, 1/1211, -1/2 in decreasing order. 5, 4, 1/1211, -1/2 Sort -2, 2, 1/4, -0.053 in decreasing order. 2, 1/4, -0.053, -2 Sort 17, 2/5, 0.1. 0.1, 2/5, 17 Put -3, 4, -4, -35, -1 in increasing order. -35, -4, -3, -1, 4 Sort 4, 0
{ "pile_set_name": "DM Mathematics" }
136*a in the form n*a + h and give n. 35 Rearrange -3*m**3 - 7*m - 2*m**2 + 6*m**3 + m - m**3 to the form n*m**2 + y*m + u*m**3 + d and give y. -6 Rearrange 5*c**3 + 8*c + c**3 + c**3 - 6*c to q + g*c**3 + d*c**2 + a*c and give a. 2 Rearrange (0*p - 3*p + 0*p + (3 + 0 - 4)*(-6*p + 10*p + 25*p))*(-p**3 - p + 3*p - p**3) to the form n*p**2 + r*p + g + l*p**4 + u*p**3 and give n. -64 Express (-x**2 + 4*x - 4*x)*(1 + 5*x + 2 + 0) + 4*x**3 - x**3 - x**3 as u*x + y + s*x**3 + t*x**2 and give y. 0 Rearrange 5*r**3 - 3*r**3 - 3*r + 29*r**4 - r**2 + 5*r + 4*r**4 to the form w*r + n*r**4 + y*r**2 + t*r**3 + x and give y. -1 Rearrange (1 - 1 - 2)*(0*u + 0*u - 3*u**2 + (-u**2 - 2*u**2 + 0*u**2)*(6 - 2 - 2)) to o + n*u + p*u**2 and give p. 18 Express (2 + 9 - 6)*(1 - 6 + 4)*(10*q + 4*q**4 - 5*q**4 + 0*q) as z*q**3 + p + x*q**4 + o*q + g*q**2 and give x. 5 Express (-6*p**2 - 5 + 5)*(-p**2 - 4 + 4) in the form t*p**2 + c*p**3 + k*p + l + o*p**4 and give o. 6 Express (-3 + 3 + 1)*(-65*s + 3 + 62*s - 1) as v + a*s and give v. 2 Express -u + u + u**3 + 54*u**2 - u**3 - 54*u**2 + u**3 - 5*u**2 + 5*u**2 + (2*u - 2*u + 2*u**3)*(0 + 4 - 3) as k + c*u + h*u**2 + n*u**3 and give n. 3 Rearrange (0*z**3 + 3*z**3 - z**3)*(-3 + 6 + 0)*(2 - 7 - 3) to the form h*z**2 + l*z**3 + p + q*z and give l. -48 Express -15*v - 51 + 51 as d*v + h and give d. -15 Rearrange -4*x + 2*x - 33 + 10 - x**4 + (0 + 0 + 2*x)*(-x**3 - 5*x**3 + 4*x**3) to the form b*x**2 + p + o*x**3 + v*x**4 + f*x and give p. -23 Rearrange 8*v - 11*v - 6*v + 0*v to the form z + g*v and give z. 0 Express 25*p**2 + 2 - 5 + 3 as q*p + z*p**2 + n and give n. 0 Rearrange (8*j**3 - 6*j**3 - 5*j**3)*(-4 + 2 + 3)*(5 + 0 - 3) to the form f*j + t + s*j**2 + z*j**3 and give z. -6 Rearrange (-2*p**3 - 1 + 1)*(0 - 1 - 2) + 5*p**2 + p**3 - 5*p**2 to j*p**2 + m*p + i*p**3 + r and give i. 7 Express 3*n - 2*n + 2*n + (-45 + 4*n + 45)*(-4 - 4 + 4) in the form w + q*n and give q. -13 Express 0*q - 13*q**3 + 7*q**3 + 3*q + q**2 in the form j*q**3 + c*q**2 + i + h*q and give h. 3 Express -5*z + 4*z - z - 2*z**2 + 9 - 4*z**4 + 4*z in the form t*z**2 + s*z**4 + q*z**3 + m*z + k and give s. -4 Rearrange (1 - 3*k - 1)*(-2*k + 2*k - 2*k + (-1 + 1 + 2*k)*(-1 + 5 - 5) + 2*k - 3*k - 7*k) to q*k + x*k**2 + l and give l. 0 Rearrange 1 + 2*l**2 - l**2 - 8*l**3 + 5*l**3 - 11*l**3 to t*l**2 + g*l**3 + h*l + p and give g. -14 Rearrange 3*p**3 + 1 + p - 72*p**4 - p**2 - 6*p**3 + 70*p**4 + 2*p**3 to the form v*p + k*p**3 + f + o*p**2 + l*p**4 and give o. -1 Express (0*y**2 + y**3 + 0*y**2)*(-3*y + 2*y + 3*y) - 89 + 89 + 34*y**4 in the form b + k*y**3 + u*y**2 + v*y + t*y**4 and give t. 36 Express ((-2 + 2 + x)*(1 - 1 - 1) + (-x - x + 0*x)*(1 + 1 + 0))*(5 - 6 - 2)*(2*x + 0*x - 3*x) as s*x + g + i*x**2 and give i. -15 Express -j**2 - 22*j + 22*j as v + c*j**2 + x*j and give c. -1 Rearrange 15*a + 3*a**3 - a**2 + a**2 - 12*a to l*a + c*a**3 + s + p*a**2 and give l. 3 Express (2*r**2 + 2*r**2 - 2*r**2)*(r**2 - r**2 + 3*r**2) + 523*r**2 + 43*r**4 - 523*r**2 in the form p*r**2 + v + s*r + z*r**3 + d*r**4 and give d. 49 Rearrange (-8 + 8 - 3*j)*(-2 + 2 - 5*j) + (-j + 2*j - 2*j)*(0*j + 4*j - 3*j) to y*j**2 + f + o*j and give y. 14 Express 5*l**2 + 21*l**2 + 6*l**2 + 2*l**2 as d + m*l**2 + r*l and give m. 34 Rearrange -z**2 - 3*z**2 + z - 3*z**2 + 11*z**2 to f*z**2 + h*z + j and give f. 4 Rearrange 14*g**2 + 2*g + g**3 - 93*g**2 - 4*g**2 - 1 - 4*g to r*g + x*g**2 + j*g**3 + w and give j. 1 Express 2*g**3 - g**4 - 35*g**2 + 31*g**2 - 3*g**3 - g as x + v*g + d*g**3 + n*g**2 + w*g**4 and give n. -4 Express 227*l - l**2 + l**3 - 470*l + 227*l as g*l**2 + n*l + q*l**3 + d and give q. 1 Rearrange -2*o - 2*o**3 + 2*o + 0*o**3 + 0*o**3 + 5*o**3 - 4*o**3 - 5*o + 5*o + (2*o + o - 2*o)*(2*o**2 - 2*o + 2*o) to s*o**3 + y*o + d + j*o**2 and give s. 1 Rearrange 38*d**3 + 2*d**4 - 36*d**3 + d**4 + 3*d + 1 + 0*d to k*d**3 + m*d + o + x*d**4 + c*d**2 and give k. 2 Express 9*f + 0*f + 16*f + 2 - 4 as y + w*f and give w. 25 Rearrange (2 + 7*f - 2)*(-f - 3*f**2 + 1 - 3 + 3*f) to the form w*f**3 + n*f + z*f**2 + i and give z. 14 Express (-7221 - 163*x**2 + 7221)*(-3*x**2 + 2*x**2 + 3*x**2) as z*x**3 + a*x**4 + k*x + r + y*x**2 and give a. -326 Express -41*m**3 - 48*m - 49*m - 2*m**2 + 94*m as o*m + c + n*m**2 + l*m**3 and give o. -3 Rearrange -48 + 14*b**2 + b - 25*b**2 + b + 13*b**2 to the form m*b**2 + c*b + w and give c. 2 Express -241 + 14*w + 241 - w**3 as n*w**2 + j*w**3 + k + v*w and give v. 14 Rearrange -4 + 8 + 25 + o to the form r + v*o and give v. 1 Express 3*p**2 + 0*p**2 - 5*p**2 + 4*p**3 + 3 as b*p**2 + j*p**3 + u + k*p and give j. 4 Express ((-16 - 2 + 1)*(0 + 0 - d) - 3*d + 2*d - d)*(-1 - 1 + 1) as x*d + g and give x. -15 Express -2 - h - 1 - 14 - 8 as k + p*h and give p. -1 Express (-3 + 1 + 3)*(0 + 3 - 1)*(17 - 17 + 5*x) + 3*x + 4*x - 4*x in the form y + k*x and give k. 13 Express -5*w**2 + 4*w**2 - 8*w**2 in the form d*w**2 + v*w + o and give o. 0 Express 3*c**2 - 9*c**2 + 0*c + 0*c in the form m*c + z + w*c**2 and give w. -6 Rearrange (5 - 5 + 4)*(-7*h + 10*h + 2*h) to n + s*h and give s. 20 Express -21 + 13*h + 2 - 14*h - 28 in the form k*h + n and give k. -1 Express 17*w**2 + 4*w**3 - 15*w**2 - 5*w**3 as i*w**3 + a + g*w**2 + q*w and give g. 2 Express -17 + 4*g + 3*g - 4*g - 5*g in the form s + r*g and give r. -2 Rearrange -369 + 369 + 106*p to x + o*p and give o. 106 Rearrange (0*s - 9*s + 0*s)*(-2 + 2 - s + (3*s - s - 3*s)*(-1 - 4 + 7) + 0*s - 4*s + 3*s - 2*s + 0 + 0 + 0*s + 4*s - 5*s) to q*s**2 + h + v*s and give q. 63 Rearrange -3*z**3 - 3*z**2 + z**2 + 5*z**3 - z**2 to the form b*z**3 + r*z + o + x*z**2 and give b. 2 Express -50*v + 13*v + 13*v as f + g*v and give f. 0 Rearrange -9*f + f - 42*f**2 + 8*f to the form r*f**2 + t*f + z and give r. -42 Express -124*r + 0*r**2 + 4*r**2 + 124*r as u + b*r + o*r**2 and give o. 4 Rearrange 5*g**3 + 2*g**2 - 7*g**3 - 3*g**3 - 5*g**3 to z*g**3 + l*g + n*g**2 + c and give z. -10 Rearrange 12*o**4 - 27*o**4 - 1 + 12*o**4 + o**2 + 2*o**3 to r*o**2 + t*o**4 + n*o + i*o**3 + q and give q. -1 Rearrange (5*h - 3*h - 3*h)*(5 - 4 - 2) + 2*h + 6 + 2*h - 3 to the form b*h + u and give b. 5 Rearrange -52*x - 25*x - 42*x to l*x + q and give l. -119 Express 182*y + 177*y + 2*y**3 - 360*y + 3 + y**4 - 2*y**2 in the form t + g*y**3 + w*y + f*y**4 + j*y**2 and give w. -1 Rearrange -10 - 14 + 0*l**3 - 2*l - l**3 to m*l**3 + f + p*l + v*l**2 and give f. -24 Rearrange 4*r + 7*r + 0*r to b*r + x and give b. 11 Rearrange -5*n**2 + 0*n**2 + 3*n**2 + (2 + 0 - 1)*(1 - 3 + 3)*(-n**2 - 2*n**2 - n**2) to t + a*n + u*n**2 and give u. -6 Express q**3 - 2*q**2 + 3*q + 28 - 2*q**4 - 56 + 28 as a*q**3 + f + s*q + p*q**2 + l*q**4 and give p. -2 Express (-2 + 2 - 3)*(4*n - 4*n - 16*n**2 - n**3) as h*n**3 + l + r*n + f*n**2 and give f. 48 Express -s + 0 + 0 + (-6 + 4 + 1)*(s + s - 6*s) as w*s + z and give w. 3 Express 6*f + 7 - 7 as c + n*f and give n. 6 Express -3*n**2 + 3*n**2 - n**2 + n**4 - 6*n**2 - 1 in the form g + x*n + v*n**3 + o*n**2 + w*n**4 and give g. -1 Rearrange 2*j + 2*j - 3*j + (2*j + 1 - 1)*(-3 + 3 + 2) - 3*j - 30*j - 165*j to the form a*j + l and give a. -193 Rearrange (2 - 2 - 2*p)*(-1 + 0 - 3) + 0*p - p - p + 1 to the form l + h*p and give l. 1 Rearrange (2 + 38*d**4 - 39*d**4 - 1)*(-1 - 1 + 0) to the form h + x*d**3 + k*d**4 + n*d + f*d**2 and give k. 2 Express (-4*s + 5*s + 0*s)*(2 - 2 - 2*s) - 41*s**2 + 502*s - 502*s as f*s + h + d*s**2 and give d. -43 Rearrange -45*v**2 - 3*v**3 + 18*v**2 + 30*v**2 + 2 to h*v + x*v**3 + r + k*v**2 and give x. -3 Rearrange -9*j + 16*j - 2*j**2 + 4 - 7*j + 2*j**3 to d + s*j**2 + w*j**3 + z*j and give w. 2 Rearrange (1 - 1 + 2)*((7*h - 2*h + 0*h)*(-4*h + 4*h - 2*h) - h**2 - 2*h + 2*h) to the form x*h + k*h**2 + c and give k. -22 Express -2*m**2 - 5*m**3 + m + 4*m**3 - 5*m + 3*m in the form h*m**2 + x*m**3 + t*m + y and give x. -1 Express -3*r**2 - 6 + 6 + (-4*r + r + 0*r)*(-3 + 3 + 3*r) as k + x*r**2 + z*r and give x. -12 Rearrange (3 - 2 + 2)*(-h + 0 + 0) + 2*h + 4*h - 7*h to the form d + k*h and give k. -4 Express (-4*z**3 + 0*z**3 + 8*z**3)*(-5 - 1 + 1)*(-2*z + 6*z - z) as o*z**2 + m + l*z**4 + i*z + n*z**3 and give l. -60 Express (-2*x**2 + 3*x**2 - 2*x**3 + 3*x**3)*(-1 - 14 - 6) in
{ "pile_set_name": "DM Mathematics" }
in 151180, 151239, 151298, 151357, 151416? 151475 What is next in -771, -1752, -2769, -3840, -4983, -6216, -7557? -9024 What is the next term in -39836, -23409, -6982? 9445 What is next in 931298, 931294, 931270, 931214, 931114, 930958, 930734, 930430? 930034 What comes next: -180172, -720661, -1621472, -2882605? -4504060 What is the next term in 3439, 7520, 12249, 17626, 23651, 30324, 37645? 45614 What is the next term in 4681, 4474, 4271, 4072? 3877 What is the next term in 7201, 13974, 20323, 26248, 31749, 36826, 41479? 45708 What comes next: -425, -1494, -3085, -5192, -7809? -10930 What is the next term in 25971608, 51943219, 77914830? 103886441 What comes next: 520952, 520956, 520964, 520976, 520992, 521012, 521036? 521064 What comes next: 14014, 28034, 41942, 55744, 69446, 83054, 96574? 110012 What comes next: 808118, 808166, 808218, 808274, 808334, 808398, 808466? 808538 What is the next term in 158, 501, 850, 1205, 1566, 1933, 2306? 2685 What comes next: -1109279, -1109337, -1109393, -1109447, -1109499, -1109549? -1109597 What is next in 850, 6568, 21828, 51316, 99718, 171720, 272008? 405268 What is the next term in 656467, 1312752, 1969041, 2625334? 3281631 What comes next: 11606, 21894, 32182, 42470? 52758 What comes next: 400, 1294, 2720, 4678, 7168? 10190 What is next in 61636, 61655, 61678, 61699, 61712, 61711? 61690 What is the next term in 1070815, 2141611, 3212389, 4283149, 5353891, 6424615? 7495321 What comes next: 2524, 2296, 1904, 1336, 580, -376, -1544, -2936? -4564 What is the next term in 3155399, 6310800, 9466201, 12621602, 15777003, 18932404? 22087805 What is next in 2262357, 9049418, 20361187, 36197664? 56558849 What comes next: 183322, 733324, 1650008, 2933374, 4583422? 6600152 What is next in 1015680, 1015677, 1015674, 1015671, 1015668, 1015665? 1015662 What comes next: -10976667, -21953299, -32929931, -43906563? -54883195 What is next in -16967, -16951, -16917, -16859, -16771, -16647, -16481, -16267? -15999 What is next in -143, -121, 67, 427, 965, 1687? 2599 What is the next term in -14778, -17727, -20662, -23577, -26466? -29323 What is next in -20708, -21043, -21378, -21713? -22048 What comes next: -2883, -6958, -11033, -15108, -19183? -23258 What comes next: -72828, -260275, -572680, -1010037, -1572340, -2259583? -3071760 What is the next term in -1206, -3267, -5328, -7389? -9450 What is the next term in 3637283, 3637245, 3637207, 3637169, 3637131? 3637093 What is next in -293540, -293581, -293622, -293663? -293704 What comes next: -326916430, -326916431, -326916432? -326916433 What is next in -121196260, -242392519, -363588778? -484785037 What comes next: -7936, -32200, -72612, -129148, -201784, -290496, -395260, -516052? -652848 What is the next term in -37970350, -37970345, -37970340? -37970335 What comes next: 40869, 81723, 122567, 163395, 204201, 244979? 285723 What is the next term in 1980, 2454, 3210, 4248, 5568? 7170 What is next in -9683, -38807, -87361, -155345, -242759? -349603 What is the next term in -253321, -253297, -253273, -253249, -253225? -253201 What is next in 16445, 23214, 29983, 36752, 43521, 50290? 57059 What is the next term in 7858088, 7858076, 7858042, 7857974, 7857860, 7857688, 7857446, 7857122? 7856704 What is next in 5624761, 11249526, 16874291, 22499056? 28123821 What is next in -1694889, -1694888, -1694887, -1694886, -1694885, -1694884? -1694883 What comes next: 858, 1932, 3232, 4758, 6510, 8488? 10692 What comes next: -1758, -3468, -5168, -6864, -8562, -10268, -11988, -13728? -15494 What is next in -10579, -42143, -94709, -168283, -262871, -378479, -515113? -672779 What comes next: -305005, -304835, -304665, -304495? -304325 What is the next term in -3436, -5827, -8198, -10549? -12880 What is the next term in 88984, 89191, 89396, 89599, 89800, 89999? 90196 What is the next term in 241904113, 241904111, 241904107, 241904101? 241904093 What is next in -14268390, -14268396, -14268400, -14268402? -14268402 What is next in 19612057, 39224123, 58836189? 78448255 What is next in 2456, 10750, 24580, 43946, 68848? 99286 What is the next term in -252308, -1009253, -2270830, -4037039, -6307880, -9083353? -12363458 What comes next: 400706, 400735, 400746, 400733, 400690, 400611? 400490 What is the next term in -750, -4292, -10194, -18456? -29078 What comes next: 1892, 2914, 5688, 11090, 19996? 33282 What comes next: -68129, -136276, -204421, -272564, -340705, -408844, -476981? -545116 What is the next term in 772, 3245, 7386, 13195? 20672 What comes next: -2916074, -2916089, -2916102, -2916113, -2916122, -2916129? -2916134 What is the next term in -167871608, -335743211, -503614814, -671486417, -839358020, -1007229623? -1175101226 What is next in 5656, 5426, 5040, 4498, 3800, 2946, 1936? 770 What is the next term in -835, -2610, -5023, -8392, -13035, -19270, -27415? -37788 What is next in 2234, 15685, 50502, 116831, 224818? 384609 What is next in 673215, 673109, 673003, 672897, 672791? 672685 What comes next: 2727, 3948, 5169? 6390 What is the next term in 7121, 16467, 25813, 35159, 44505, 53851? 63197 What is the next term in -4686, -10212, -16582, -23796, -31854? -40756 What is the next term in 209741, 209703, 209663, 209621? 209577 What is the next term in 515063977, 515063975, 515063973? 515063971 What is next in 591469, 591487, 591515, 591553, 591601, 591659, 591727? 591805 What is the next term in 98821, 98784, 98691, 98512, 98217, 97776, 97159, 96336? 95277 What is the next term in -559921, -1120535, -1681149? -2241763 What is the next term in -21786, -43600, -65428, -87264, -109102, -130936? -152760 What is the next term in -148880, -297757, -446634, -595511, -744388, -893265? -1042142 What comes next: -4371482, -8742962, -13114442, -17485922, -21857402, -26228882? -30600362 What is the next term in -2807449, -11229846, -25267173, -44919430, -70186617, -101068734, -137565781? -179677758 What is the next term in 39415, 79010, 118605, 158206, 197819? 237450 What is the next term in -39572, -39504, -39350, -39074, -38640, -38012, -37154, -36030? -34604 What is the next term in 1744018, 1744014, 1744010, 1744006, 1744002? 1743998 What comes next: -5831, -14302, -37291, -82058, -155863, -265966? -419627 What is the next term in 1036, 1491, 2266, 3379, 4848? 6691 What comes next: -4333, -4820, -5277, -5710, -6125? -6528 What is next in 3452, 7274, 11092, 14906? 18716 What comes next: -1861, -7485, -16879, -30055, -47025, -67801, -92395, -120819? -153085 What comes next: 411784, 823631, 1235470, 1647301, 2059124, 2470939, 2882746? 3294545 What comes next: -18109, -16960, -15811, -14662, -13513? -12364 What is next in 1176, 3239, 6194, 10041, 14780? 20411 What comes next: 76240, 304793, 685704, 1218973, 1904600? 2742585 What is next in -5029, -5341, -5673, -6037, -6445, -6909? -7441 What comes next: 6432, 6210, 5616, 4464, 2568? -258 What is the next term in 229734, 231253, 232780, 234321, 235882, 237469? 239088 What is next in 4290, 9155, 14022, 18891, 23762, 28635? 33510 What is the next term in 3557, 7842, 12877, 18662, 25197, 32482? 40517 What comes next: 696999, 1394010, 2091021, 2788032, 3485043? 4182054 What is the next term in -22671, -22892, -23113, -23334? -23555 What is the next term in 26010, 52197, 78398, 104619, 130866? 157145 What is next in -1615045, -3230094, -4845149, -6460210, -8075277? -9690350 What is the next term in -1283, -602, 125, 922, 1813, 2822, 3973, 5290? 6797 What is next in -11175, -45277, -102117, -181695, -284011, -409065? -556857 What comes next: 17758, 37661, 57564, 77467, 97370, 117273? 137176 What is the next term in -3015515, -3015585, -3015655, -3015725, -3015795? -3015865 What comes next: -31224, -31216, -31210, -31206? -31204 What comes next: 23472, 23477, 23478, 23475? 23468 What comes next: 2179, 4324, 6469? 8614 What is the next term in -2217, -17650, -59531, -141084, -275533? -476102 What is next in 413, 432, 475, 542, 633? 748 What is next in 4170, 8665, 13198, 17769? 22378 What comes next: 12181, 99676, 337175, 799684, 1562209? 2699756 What is next in 354455, 354363, 354295, 354251? 354231 What comes next: 33578, 67130, 100670, 134198, 167714? 201218 What comes next: -1559, -1647, -1809, -2057, -2403, -2859? -3437 What is next in 3218441,
{ "pile_set_name": "DM Mathematics" }
erivative of -s - 3 - 3 + 6*s wrt s? 5 Let v(b) be the second derivative of -b**9/3024 + b**6/120 + b**3/2 + b. Let l(y) be the second derivative of v(y). Find the third derivative of l(k) wrt k. -60*k**2 Let a be 2*6*3/12. What is the third derivative of -6*u**5 + 3*u**5 - 4*u**2 + 3*u**6 + a*u**5 wrt u? 360*u**3 Let y(c) = -6*c**2 + c. Suppose p + 10 = -p. Let g(h) = -5*h**2. Let n(j) = p*g(j) + 4*y(j). Find the second derivative of n(q) wrt q. 2 Suppose 0 = -3*n - 12, 2*n + 4 = 2*u + 3*n. What is the second derivative of 9*g**3 + 0 + 0 - 2*g - u*g**3 wrt g? 30*g Let l(g) be the first derivative of g**5/30 + g**4/8 + 2*g**3/3 - 3. Let b(i) be the third derivative of l(i). Differentiate b(n) with respect to n. 4 Let i = 3 - 3. What is the derivative of i - 1 + 0 + u wrt u? 1 Let b(k) be the second derivative of -2*k**3/3 + 11*k**2/2 - 12*k. Differentiate b(w) wrt w. -4 Let a be (5 + 217/(-49))/((-4)/(-14)). Let y(b) be the second derivative of 0*b**3 - b**a + 4*b + 1/20*b**5 + 0 + 0*b**4. Differentiate y(i) with respect to i. 3*i**2 Let p(h) be the third derivative of 3*h**2 + 0 + 0*h**6 + 0*h + 0*h**4 - 1/336*h**8 + 0*h**3 + 0*h**7 - 1/60*h**5. What is the third derivative of p(x) wrt x? -60*x**2 Let n = -2 - -6. What is the first derivative of -3*x**n + 2 - 5 + 2 + 0 wrt x? -12*x**3 Let a(r) = -r**2 - 3*r. Let i(o) = 5*o**2 + 15*o. Let b(u) = 11*a(u) + 2*i(u). Find the second derivative of b(z) wrt z. -2 Let b(q) be the first derivative of -q**4/4 + 2*q**3/3 - q**2 + 7*q - 37. What is the second derivative of b(v) wrt v? -6*v + 4 Let j = 3 - 3. Let a(g) be the third derivative of j*g**3 + 1/30*g**5 + 0 + 0*g**4 + 1/40*g**6 + 3*g**2 + 0*g. Find the third derivative of a(f) wrt f. 18 Let f(x) be the third derivative of x**8/840 - x**6/120 + x**3/6 + 2*x**2. Let w(y) be the first derivative of f(y). What is the third derivative of w(m) wrt m? 48*m Find the third derivative of -3*k**3 + 3*k**3 + k**3 - 10*k**2 wrt k. 6 Let k(b) be the first derivative of 3*b**2/2 + b + 3. What is the derivative of k(o) wrt o? 3 What is the third derivative of 5*w**2 - w**4 + 0*w**2 - 6*w**4 - w**2 wrt w? -168*w Let n(d) = d + 1. Let k(m) = 21*m + 14. Let i(t) = -k(t) + 6*n(t). Find the first derivative of i(x) wrt x. -15 Let h = 5 + -3. Differentiate -6 + h + 0 - 5*r + 9*r with respect to r. 4 Suppose 8 = 2*x + 2*x. What is the third derivative of -2 + x + 12*n**2 - 10*n**2 - 2*n**3 wrt n? -12 Find the third derivative of 35*w**2 - 48*w**3 - 126 + 24*w**2 + 126 wrt w. -288 Let o(l) = 11*l**2 - 52*l - 1. Let b(q) = 11*q**2 - 51*q - 1. Let z(p) = 5*b(p) - 6*o(p). What is the second derivative of z(f) wrt f? -22 Let f(z) be the third derivative of -1/120*z**6 + z**2 - 1/15*z**5 + 0*z**3 + 0*z**4 + 0 + 0*z. What is the third derivative of f(r) wrt r? -6 Let x(s) = -s**3 - 16*s**2 - 14*s + 17. Let d be x(-15). What is the first derivative of -7*n**4 + d*n**4 + 4*n**4 - 4 wrt n? -4*n**3 Suppose 3*y = -v + 3, -y - 5 = 2*v - 1. Suppose 7*n - y*n = 20. What is the second derivative of n*z**5 + 3*z - 3*z**5 - z wrt z? 20*z**3 Find the second derivative of 47*n**2 - 14*n - 47*n**2 + 7*n**4 - 5*n wrt n. 84*n**2 Let r be 2/4*(-14)/1. Let z(h) = h**4 + 7*h**2 + 7*h - 6. Let y(k) = k**4 + 3*k**2 + 3*k - 3. Let o(s) = r*y(s) + 3*z(s). What is the derivative of o(u) wrt u? -16*u**3 Let m(b) = 4*b**3 - b**2 + 2*b - 1. Suppose 3*x + 2 = -7, -c - x = 2. Let l be m(c). What is the derivative of 11*a**3 - 11*a**3 - 2 - a**l wrt a? -4*a**3 Find the first derivative of -5*x**2 - 20*x**2 + 6*x**2 - 4 - 30 wrt x. -38*x Let x(g) = -166*g**2 + 44*g. Let d(c) = -33*c**2 + 9*c. Let s(k) = -11*d(k) + 2*x(k). What is the second derivative of s(m) wrt m? 62 Let i = 8 - 9. Let q be 10 - -1*(-1)/i. Find the third derivative of q*d**2 - 2*d**2 - 4*d**4 - 7*d**2 wrt d. -96*d Let h(g) be the first derivative of 4*g**6/3 + 10*g**3/3 + 8. What is the third derivative of h(m) wrt m? 480*m**2 Let j(n) be the third derivative of 0 - 1/20*n**5 - 3*n**2 + 0*n + 0*n**3 + 0*n**4 - 1/30*n**6. Find the third derivative of j(h) wrt h. -24 Let d(a) be the first derivative of 4*a - 1 + 0*a**3 - 1/2*a**4 + 0*a**2. Differentiate d(j) wrt j. -6*j**2 Let h be (-2 - (-6 - -3))*9. Find the first derivative of -22*j**2 + 13*j**2 + h*j**2 + 3 - 3*j**4 wrt j. -12*j**3 Suppose 8 = -0*r + 4*r. Let n(q) = -q + 4. Let i be n(r). Differentiate 0*w**2 + 2*w**2 - 2 - w**i with respect to w. 2*w Let i(d) = -d - 2. Let g be i(-4). What is the derivative of -w - w - g*w + 4 wrt w? -4 Let r(n) be the first derivative of 23*n**2/2 - 21*n + 14. Find the first derivative of r(q) wrt q. 23 Let v be (2/6)/((-3)/(-45)). Differentiate -4*w - v + 3*w - 3*w - w with respect to w. -5 Suppose c - 5*n - 16 = 0, -4*c - 5*n - 8 = 28. Let u(f) = -f**3 - 3. Let b(x) = -x**3 - 1. Let v(p) = c*b(p) + u(p). What is the derivative of v(j) wrt j? 9*j**2 Let j(p) = -3*p**2 - 2*p - 3. Let o(v) = 2 + 19 + 6*v**2 + 15*v + 15*v**2. Let y(s) = -15*j(s) - 2*o(s). Differentiate y(l) wrt l. 6*l Let o(d) be the first derivative of -2/3*d**3 + 1 + d + 0*d**2. Find the first derivative of o(t) wrt t. -4*t Let n(w) be the third derivative of w**7/1680 - w**6/240 + w**5/30 - 4*w**2. Let x(v) be the third derivative of n(v). Find the first derivative of x(s) wrt s. 3 Let h(w) = -w**3 - 3*w**2 - w - 1. Let x be h(-3). What is the second derivative of -x*y + y**5 + 2*y**5 - y**5 wrt y? 40*y**3 Let q(k) be the first derivative of k**4 + 2*k**2 + 7. What is the second derivative of q(v) wrt v? 24*v Let c(q) be the third derivative of 7*q**6/60 + q**5/15 - 4*q**2. What is the third derivative of c(g) wrt g? 84 Suppose -f = -2*h + 5, 2*h + f = 3*h. What is the third derivative of 7*s**2 + 3 - 7 + 4 + h*s**3 wrt s? 30 Let d(q) be the third derivative of -2*q**7/35 + q**3/6 + 5*q**2. What is the derivative of d(a) wrt a? -48*a**3 Find the second derivative of l**5 - 4*l + 3*l**5 + l**5 + 0*l wrt l. 100*l**3 Let a be 95/(-300) - (-2)/5. Let h(j) be the third derivative of 0 + a*j**4 - 1/6*j**3 + 0*j - 2*j**2. What is the first derivative of h(b) wrt b? 2 Suppose 0 = -5*s - 4 + 14. Suppose -s*f - f + 10 = -y, 14 = 3*f + y. What is the second derivative of -3*x + 0*x + x**f - 4*x**4 wrt x? -36*x**2 Let l = 6 - 6. Find the first derivative of l + 4*k**3 - 2 - k**2 + k**2 wrt k. 12*k**2 Let w(o) = 0 - 2*o - 3*o + 6*o**2 + 0. Let u(c) = -2*c**2 + 2*c. Let l(a) = -8*u(a) - 3*w(a). Find the second derivative of l(b) wrt b. -4 Differentiate 2*a + 6*a + 19 - 3*a with respect to a. 5 Let p(d) be the second derivative of 2*d**6/15 + 3*d**2 + 2*d. Differentiate p(v) wrt v. 16*v**3 Let w(x) be the third derivative of -11*x**8/168 + x**4/4 - 15*x**2. Find the second derivative of w(i) wrt i. -440*i**3 Let q = -1 + 3. Differentiate 2*h**2 - 3 - 6*h**2 + 2*h**q + 0*h**2 wrt h. -4*h Let i = 16 - 13. What is the first derivative of -4*m**2 + 1 - i - 1 + m**2 wrt m? -6*m Let x(j) be the second derivative of -25*j**7/42 - j**4/3 + 5*j**2 + 2*j + 21. Find the third derivative of x(a) wrt a. -1500*a**2 Find the second derivative of -7*f + 4*f + 6*f**3 - 3*f**3 wrt f. 18*f Let m(z) = 9*z**3 - 5*z. Let f(r) = -17*r**3 + 9*r. Let p(o) = -2*f(o) - 5*m(o). What is the second derivative of p(v) wrt v? -66*v Let i = -19 + 28. Differentiate -i*z**4 + 4 + 2*z**4 + 1 with respect to z. -28*z**3 Suppose 20 + 40 = 3*d. Let p be 2/10 + 56/d. What is the second derivative of -2*r**3 + 5*r**3 + r - 4*r**p wrt r? -6*r Let l(k) = -9*k**4 - 5*k**3 - 5*k - 11. Let r(t) = -8*t**4 - 4*t**3 - 4*t - 10. Let v(y) = 4*l(y) - 5*r(y). Differentiate v(z) wrt z. 16*z**3 What is the first derivative of 1 - 4 + 3*l**4 + 2*l**4 wrt l? 20*l**3 Suppose 0 = 3*q + 4*v - 6 - 2, 0 = 3*q - 5*v - 17. Let z(u) be the first derivative of -1/3*u**3 + 0*u + q + u**2. Find the second derivative of z(o) wrt o. -2 Let h(v) be the first derivative of -17*v**5/5 - 2*v + 21. Find the first derivative of h(c) wrt c. -68*c**3 Let m(x) be the third derivative of 29*x**5/60 - 5*x**3/2 + 27*x**2. Find the first derivative of m(r) wrt r. 58*r Let q(d) be the second derivative of d**6/180 + d**5/20 + d**3/2 - 4*d. Let z(p) be the second derivative of q(p). Find the second derivative of z(o) wrt o. 4 Let o(s) = -33*s**2 + 7*s - 28. Let y(n) = 17*n**
{ "pile_set_name": "DM Mathematics" }
37. What is the second biggest value in a, u, -5, 1/4? 1/4 Let w(l) = -6*l**3 - 98*l**2 - 32*l + 3. Let v be w(-16). What is the second smallest value in -0.05, v, -3? -0.05 Let z = 1647 + -1760.1. Let v = 113 + z. Let h be 0 - -1 - (-2 + 2). What is the biggest value in h, 0.5, v? h Let r be (0/(-1))/(-12 + (4 - -11)). What is the second biggest value in r, 2, -23, 1/5? 1/5 Let w = -11081 + 11081.4. What is the biggest value in 2/13, -5/3, w, 1/2, 2? 2 Let p = -30 + 33. Let n be (16/(-520))/(p/15). Let u = -59.95 - -60. Which is the second smallest value? (a) -2 (b) u (c) -1 (d) n c Let q = 302 - 345. Which is the third smallest value? (a) -1.5 (b) 0.5 (c) q (d) 4/9 d Let z be ((-7784)/(-25298))/(3*18/39). Let p = -2.6 - -122.6. Which is the third smallest value? (a) z (b) p (c) -2/15 b Suppose -83*f + 65 = 9*f + 985. Which is the smallest value? (a) -0.1 (b) -6 (c) f (d) -4 c Let q(w) = w. Let z(k) = -2*k - 15. Let l(h) = 2*q(h) - z(h). Let u be l(-3). What is the second smallest value in u, 0, -11? 0 Let p = 8335 + -8334.9. What is the second biggest value in 64, p, 10, 0.2? 10 Let c = -23.65 - 0.35. Let y = c + 24.2. Let u = 117 - 1051/9. What is the third smallest value in y, 1, u? 1 Suppose -5*s + 8*s = 3*m, -m = -3*s. Suppose 10*p - 60 = 22*p. Let l be 4 - (-4 + 86/8 + -3). What is the second biggest value in l, p, s? s Let m = 0.34236 + 0.05764. Which is the biggest value? (a) -2/45 (b) 6 (c) m (d) -2/3 (e) -5 b Let w be 159920/(-175) + (-28)/49. Let s = w + 915. Let k = -5 - 0. What is the third biggest value in 2/7, k, 0.01, s? 0.01 Suppose 32*p - 150 + 14 = 152. Which is the second biggest value? (a) 0.4 (b) p (c) 242 b Let r = 90 - 90. Suppose -6*l = -5*l + 3*i + 6, 4 = 5*l - 2*i. Suppose l = -4*b - 7 - 1. What is the second biggest value in -2/9, r, b? -2/9 Let w = -2.652 + -0.348. Let i = 140.5 + -113. Let n = 28 - i. What is the third smallest value in n, -8, -5, w? w Suppose -4*n - q = -1, n + 5*q + 0 = 5. Suppose -20*u = 320 - 1760. Let j be (-3)/36 - (-2886)/u. What is the third smallest value in -0.4, j, n? j Let o = 25.527 - 25.457. Let v = -5 + 2. Let n = 2.8 + v. Which is the third smallest value? (a) 1 (b) o (c) n a Let u = -5 + 0. Let t = -84283 - -84281. Let j = -1/72 - 59/72. Which is the biggest value? (a) j (b) t (c) u a Let o = 165 - 170. Which is the fourth smallest value? (a) 2/17 (b) o (c) -14 (d) 0.1 a Let p be (-13)/11 + (-4)/(-22). Let f = 1271.953 + -1270. Let h = 0.047 + f. Which is the third smallest value? (a) 2/5 (b) h (c) p (d) 1/4 a Let d = 26 - -13. Let z = 45 - d. Let b = z - 5.5. What is the fourth biggest value in -0.5, 2/3, b, 0.1? -0.5 Let p = 675 - 677. Suppose 5*w - y = -3*y - 31, 0 = -w - 3*y - 1. What is the second smallest value in 5, p, w, 0.3? p Let f = 295.488 - -5.812. Let d = -288 + f. Let z = d - 13. Which is the second biggest value? (a) z (b) 4 (c) 0.02 a Let s be 4/14 - 2/7. Let p be 83687/(-1113) + 76 - 16/14. Which is the second smallest value? (a) -14 (b) s (c) p (d) -3 d Let t be ((-18)/21)/(1/7). Let u be (-8)/(-18) - (-9)/(162/t). Which is the smallest value? (a) -5 (b) 3 (c) u a Let g = -473.07 + 473. Which is the second smallest value? (a) -13 (b) 0.2 (c) g c Let t = -18 + 322. Let n = t + -304.2. What is the smallest value in n, 54, 2? n Let u = -1461.93 - -1462. Which is the third biggest value? (a) 6 (b) u (c) -11 c Let p = -21.88272 + -0.01728. What is the third smallest value in -6, 1, p? 1 Suppose -13*t = -9*t - 8. Let p be (48/60)/(18/(-5)). Which is the third biggest value? (a) -1 (b) 0 (c) p (d) t c Let b = -61.7 - 10.3. Let d = 1149.3 + -1077. Let n = b + d. What is the biggest value in -3/14, n, -1? n Let g be (680/(-850))/(1/5). Which is the fourth smallest value? (a) -67 (b) 0.2 (c) -2 (d) g b Suppose 0 = 5*x - 5*r + 21 + 4, 0 = 4*r. Let i be (-214)/30 - -7 - (-1)/x. What is the third biggest value in -2, 5, i, 26? i Let d = 0.532 - 0.032. Let u = 47 - 41. Let b = 1.4 - -2.6. What is the third biggest value in -0.4, b, d, u? d Let o(q) = -q**2 - 8*q - 12. Let n be o(-3). Let l be (15/(-225))/(n/(-9)). What is the fourth smallest value in 0.1, -2, l, 1/8? l Let b = 40637/6 - 6773. What is the smallest value in b, -2, -3, -0.2? -3 Let u be (-57)/836*(-2 - 12/18). What is the fourth biggest value in 6, -3, -0.07, u, -2? -2 Let i(c) be the first derivative of -c**2 + 3*c + 5. Let b be i(2). What is the fourth biggest value in 2, b, 3, -9? -9 Let t = -0.54 - -0.04. Suppose -3*i = -3*p + i - 15, i = -4*p - 20. Let g be -2 + (p - -6) - (-8)/11. What is the biggest value in g, -3, t? g Suppose 11*f - 240 = -5*f. Let j be 3*((-2)/3 - f/5). Which is the biggest value? (a) 0 (b) j (c) -3/4 (d) 4 d Let q be ((-169)/(-3))/((-6)/(-14)). Let w = 131 - q. Let m = -33 + 36. What is the third smallest value in w, m, 1/9? m Let l be 20/(-90) + 1*(-5271)/(-27). Let s = -977/5 + l. Which is the third smallest value? (a) s (b) 3 (c) -4 (d) 3/7 d Let m = 521 - 521. Which is the second biggest value? (a) 0.001 (b) -1 (c) m (d) 4 a Let p be (1/3)/(2619/(-243) + 11/1). What is the second smallest value in -114, 9, p, 3? p Let l = -3358 - -3361. Let d be (0 - 24/(-9))*(-36)/(-24). Let s = -34 + 29.1. What is the third biggest value in d, s, l? s Let x = -30 + 35. Let v = 10062 + -10066. Which is the biggest value? (a) 2 (b) 0.4 (c) x (d) v c Let p(l) = 3*l - 6 - 4 - 4*l + 18. Let d be p(4). Let z be ((-5)/(-10) + 2/d)*1. Which is the second smallest value? (a) -0.2 (b) z (c) -1/10 c Suppose 50 = 4*g - 14. Suppose -a + g = 5*f - 6, 4*a = -3*f + 20. Suppose -t + i + 13 = -2*i, 7 = -t - a*i. What is the second smallest value in 0.6, -0.1, t? 0.6 Let p = 1427.2 + -1428. Which is the third smallest value? (a) p (b) 2 (c) -7 (d) -2 a Let y be 33 + -31 + (-410)/287. Let m be (-1 + 0)*2/7. What is the second smallest value in -5, y, 3, m? m Let z = 15/767 + 1369/8437. Suppose -x - 12 = 2*x. Let s = -0.072 + 0.372. Which is the fourth biggest value? (a) z (b) s (c) x (d) 5 c Let n be 0/((-6)/(12 + -8 + -10)). Which is the second biggest value? (a) n (b) 2/9 (c) 3.59 b Suppose -4*p - p - 15 = 0, 2*r - 4*p - 16 = 0. Let i = 16351/4 + -4087. Which is the third smallest value? (a) 4 (b) r (c) i a Let s = -0.3 - 4.7. Let q = -0.386 + -0.014. Let z = 38.5 - 39. What is the second biggest value in q, -1, z, s? z Let g = -47658 + 47619. Which is the third smallest value? (a) -1.5 (b) 0.3 (c) g b Suppose 3*r = 5*v + 54 + 1, -2*v - 21 = -r. Let i be (-230)/392 + (-6)/v. Let h = i - 186/539. Which is the biggest value? (a) -0.5 (b) 3 (c) h (d) 3/4 b Let b = -319 - -315. Let v(r) = 3*r**3 + 2*r**2 - 3*r - 1. Let q be v(-3). Let a be (-4)/(-26) + q/104. What is the third biggest value in a, b, 2, 0.3? a Let w = 1.571 - 0.031. Let v = -2.04 + w. What is the biggest value in 4/3, v, -12? 4/3 Let c = -1.8 + 1.5. Let a = 67 - 91. Let g = -122/5 - a. What is the second biggest value in g, 0.6, c? c Let i = 5177 - 5173. What is the second smallest value in i, 1/5, -4, 285? 1/5 Let o(z) = -z**3 - 5*z**2 + 10*z + 49. Let i be o(-5). Which is the third biggest value? (a) 15 (b) 6 (c) i c Let v = 1547 - 1547. What is the second smallest value in -0.2, v, -1/23? -1/23 Let k = -54.8 + 62. Let m = 0.226 + 1.974. Let t = m - k. What is the second biggest value in -0.1, -3, t, -1? -1 Let i = -1108.1 + 1108. What is the biggest value in -2/21, 37, i, -0.4, -4? 37 Let y = -2.93 - 0.07. Let k = 5664092/15 - 377606. Which is the biggest value? (a) -8 (b) 4 (c) k (d) y b Suppose 5*r = -5*d - 50, -3*d - 25 = -d + 3*r. What is the smallest value in -57, d, 0? -57 Let l = -3.08 - -3. Let t = 36.07 - 36.29. Let n = t + l. Which is the second biggest value? (a) 0.2 (b) -4 (c) n (d) 4 a Let f be (-39376)/(-36) + (1 - (-49)/(-63)). Let c = f - 83141/76. What is the second biggest value in -3, -2/3, c, 5? c Let j = 18 + -17.7. Let h = -779 - -776. Which is the third smallest value? (a) -14 (b) h (c) 2/3 (d) j d Suppose 2992*i = 2982*i + 30. What is the second smallest value in 6, -4/13, i? i Let g be 4/(-14) - 68/(-42). Let u = -64.44 - 1.56. Let b = u + 65.7. What is the smallest value in g, 2/7, b? b Let u = 460 + -4
{ "pile_set_name": "DM Mathematics" }
5*v**2 + v. Suppose -o + 10 = o. What is o*s(q) - 2*l(q)? q**3 - 2*q Let y(l) = -7*l**3 - 2*l**2 - 2. Let w(h) = h**3 - h + 1. What is -2*w(s) - y(s)? 5*s**3 + 2*s**2 + 2*s Let s(j) = 6*j**2 - j + 4. Let b(v) = 5*v**2 - v + 3. Let n(z) = -5*z - 66. Let h be n(-14). Determine h*b(t) - 3*s(t). 2*t**2 - t Let a(i) = -17*i + 9. Suppose -3*j + 2*h = -2 + 26, 2*h = -j. Let z(k) = -4*k + 2. Determine j*a(o) + 26*z(o). -2*o - 2 Let t(x) = 2*x + 2. Let i(j) = -9*j - 7. What is 6*i(l) + 22*t(l)? -10*l + 2 Let d be (2/2)/(-31 - -35). Let o(z) be the second derivative of -d*z**4 + 0 + 3*z + 0*z**2 - 1/3*z**3. Let m(y) = 4*y**2 + 3*y. Calculate -2*m(p) - 3*o(p). p**2 Let c(s) = 3*s + 5. Let i(g) = 3*g + 6. Calculate 4*c(m) - 3*i(m). 3*m + 2 Let j(l) = -2*l - 6. Let m(h) = h + 3. Suppose -2*z = -2*i - 2, -2*z = -0 + 10. What is i*j(f) - 13*m(f)? -f - 3 Let t(u) = 5*u - 3. Suppose -5*g = -5*m - 25, g - 3*g + m = -9. Let y(c) = 2*c - 1. What is g*t(v) - 11*y(v)? -2*v - 1 Let m(r) = -4*r + 4. Let l(z) = -3*z + 3. Let s(n) = -5*l(n) + 4*m(n). Let x(c) = -c - 4. Give 4*s(a) + x(a). -5*a Let o(q) = 2*q**3 - 4*q**2 - 17*q - 4. Let j(l) = -2*l**3 + 5*l**2 + 18*l + 5. What is -4*j(y) - 5*o(y)? -2*y**3 + 13*y Let a(w) = 120 + w - 120. Let v(d) = 3*d**2 - 3*d. What is 3*a(n) + v(n)? 3*n**2 Let b(i) = 17*i**2 - 2*i + 6. Let x(y) be the second derivative of 2*y**4/3 - y**3/6 + 3*y**2/2 - 15*y. What is 6*b(n) - 13*x(n)? -2*n**2 + n - 3 Let y(r) = r**3 - 4*r**2 + 3*r - 4. Let k(w) = -w**3 + 3*w**2 - 2*w + 3. Suppose -2*x - 17 = 5*j, 5*j + 13 = -x + 3*x. Give j*y(a) - 4*k(a). a**3 - a Let j(g) = 3*g - 7. Suppose -4*m + 1 = 29. Let i(q) = -40 + 57 + 0*q + 4*q - 27. Give m*j(x) + 5*i(x). -x - 1 Suppose 12 = -0*q + 2*q. Let x = q + 2. Let m(y) = 3*y - 7. Let s(h) = 5*h - 11. Give x*m(i) - 5*s(i). -i - 1 Let m(n) = 4*n**3 - 3*n + 1. Let d = -14 - -10. Let r(u) = -4*u**3 + 4*u - 1. Give d*m(o) - 3*r(o). -4*o**3 - 1 Let b(j) = 2*j**3 + 5*j. Let q(a) = a**2 - 2*a - 5. Let z be q(4). Let v(n) = n**3 + 3*n. What is z*b(l) - 5*v(l)? l**3 Suppose -6*g + 4 = -2*g. Let w(t) = -t**2 + 1. Let n(s) = -2*s**3 - 2*s**2 + 3. Suppose -4*z = -3*h - 21, -4*z - 3 = -h + 6*h. Give g*n(j) + h*w(j). -2*j**3 + j**2 Let z(j) = 7*j + 4. Let n(i) = -i. Determine -3*n(l) + z(l). 10*l + 4 Let o(p) = 5*p**3 - 6*p**2 - 8*p + 6. Let k(i) = i**2 - 5 - 4*i**3 + 3*i + 4*i + i**2 + 3*i**2. Give -6*k(z) - 5*o(z). -z**3 - 2*z Let a be (5/((-15)/3))/((-1)/4). Let q(b) = -6*b**2 + 4*b - 1. Let g(k) = -17*k**2 + 11*k - 2. Give a*g(p) - 11*q(p). -2*p**2 + 3 Suppose 5*n - 2*n + 9 = 0. Let m(t) = 3*t. Let j(l) = 2*l - 5. Let d(s) = -2*s + 6. Let h(c) = -5*d(c) - 6*j(c). Calculate n*m(i) - 4*h(i). -i Let c(j) = 4*j - 5. Let i(s) = 4*s - 6. Let z(a) = -6*c(a) + 5*i(a). Let f(d) = d. Let k be 3*((-18)/(-27) - 1/3). Determine k*z(m) + 3*f(m). -m Let u(y) = -1. Let h(n) = -2*n**2 + n - 2. What is h(z) - 2*u(z)? -2*z**2 + z Suppose -s - 3*s = 88. Let n = 0 + s. Let f(q) = -10*q - 11. Let k(d) = d + 1. What is n*k(p) - 2*f(p)? -2*p Let s(m) = m + 1. Let g(j) = 4*j - 7. Let v(z) = -g(z) - 2*s(z). Let h(b) = -7*b + 6. Let c = -213 - -208. Give c*v(l) + 4*h(l). 2*l - 1 Let w(f) = 4*f - 105. Let g(i) = 2*i - 53. Give -11*g(c) + 6*w(c). 2*c - 47 Let s(h) = -20*h**2 - 7. Let q(w) = 7*w**2 + 2. Determine -7*q(m) - 2*s(m). -9*m**2 Let s(u) = -24*u**2 + 2*u + 3. Let q(g) = 23*g**2 - 2*g - 4. Determine 2*q(z) + 3*s(z). -26*z**2 + 2*z + 1 Let b(y) = 28*y**3 - 16*y**2 + 16*y - 16. Let l be (6/12)/(3/30). Let r(g) = 9*g**3 - 5*g**2 + 5*g - 5. Determine l*b(z) - 16*r(z). -4*z**3 Let k(d) = -3*d**2 + 4*d + 5. Let a(r) = -r**2 + 2*r + 2. What is -7*a(l) + 3*k(l)? -2*l**2 - 2*l + 1 Let b be (-1)/(-3) - 74/6. Let o be b + (-2 - -2) + -2. Let s(j) = 2*j. Let t(y) = 5*y + 25. Let m(w) = -1. Let v(x) = 50*m(x) + 2*t(x). Give o*s(i) + 3*v(i). 2*i Let w(z) = 2*z**2 + 5. Suppose 5*b = l + l + 30, -l - 5*b = -15. Let g(f) be the first derivative of -2*f**3/3 - 4*f + 2. Calculate l*w(h) - 6*g(h). 2*h**2 - 1 Let o(s) = s**2 + 9*s - 5. Let d(f) = f**2 + 4*f - 2. Determine -5*d(w) + 2*o(w). -3*w**2 - 2*w Let p(w) = w. Let k(d) = 5*d**2 + 9*d. Give -k(o) + 6*p(o). -5*o**2 - 3*o Let m(w) = -2*w + 2. Suppose 4*t - 6 = -2. Let h(d) = -d + 1. Suppose 2*l - 3*l - 4 = 0. What is l*h(q) + t*m(q)? 2*q - 2 Let c(s) be the first derivative of -7*s**2/2 + 3*s + 5. Let p(b) = 20*b - 8. Let a = 11 + -16. Calculate a*p(g) - 14*c(g). -2*g - 2 Let m(i) = i**2 + 1 + 3 - 4*i**2 + 6*i. Suppose 5*f = -0*f + 4*u - 28, -2*f + 5*u = 18. Let h(g) = -2*g**2 + 5*g + 3. What is f*h(d) + 3*m(d)? -d**2 - 2*d Let w(b) = -3*b**2. Let z(c) be the third derivative of -3*c**5/20 + 8*c**2 + c. Give -14*w(j) + 4*z(j). 6*j**2 Let c(z) = 23*z**3 - 17*z**2 + 11*z + 17. Let l(r) be the third derivative of -r**6/30 + r**5/20 - r**4/12 - r**3/2 + 7*r**2. Give -6*c(w) - 34*l(w). -2*w**3 + 2*w Let i(y) = y - 1. Let b(v) = -3*v + 12. Give b(d) + 2*i(d). -d + 10 Suppose 0 = -2*m + 5*g - 5, -5*m + 3 + 2 = 5*g. Let z be -5*(-2)/(2 + m). Let f(x) = 2*x + 4. Let p(y) = -y**2 + 4*y + 9. What is z*f(t) - 2*p(t)? 2*t**2 + 2*t + 2 Suppose -4*f + 6*f + 11 = 5*h, -3*h + 9 = 0. Let x(u) = 16*u - 1. Let n(p) = 5*p. Give f*x(k) - 7*n(k). -3*k - 2 Let z(y) = -y**3 + y**2 + y. Let g(p) = -26*p**3 - 5*p**2 - 5*p. What is g(s) + 6*z(s)? -32*s**3 + s**2 + s Let o(m) = -4*m**2 - m**2 + 1 + 2*m + 8*m**2 + 0*m**2. Let u(w) = 3*w**2 + w. Determine -2*o(r) + 3*u(r). 3*r**2 - r - 2 Let u(k) = -5 + 0 + 4 - k + 2. Let h(i) = 15*i - 10. What is -h(j) - 10*u(j)? -5*j Let y = -9 + 16. Let b be y/(7/(-8)) + 3. Let z(h) = 2*h**3 - 9*h**2. Let q(l) = -3*l**3 + 13*l**2. Give b*q(j) - 7*z(j). j**3 - 2*j**2 Let q = 3 - 0. Let t(n) = -2*n**3 - 3*n - 3. Let v = 10 - 8. Let f(s) = v + 2*s + 4*s + s + 5 + 5*s**3. Give q*f(x) + 7*t(x). x**3 Let t(z) = 3*z**2 - 6*z - 6. Let n(f) = f + 1. Calculate -4*n(p) - t(p). -3*p**2 + 2*p + 2 Let q(f) = -f**3 + 7 - 12 + 2*f**2 - 2*f + 3. Let z(r) = -3*r**3 + 7*r**2 - 7*r - 7. Determine -14*q(i) + 4*z(i). 2*i**3 Let c(j) = 39*j - 15. Let r(p) = -8*p + 3. Calculate -2*c(s) - 11*r(s). 10*s - 3 Let q(o) = 15*o + 9. Let u(j) = j**2 + 8*j + 10. Let g be u(-7). Let t be 2 + -3 + 1 + g. Let f(d) = -8*d - 2 + 0*d - t. Determine -11*f(b) - 6*q(b). -2*b + 1 Suppose -4*j + 0*p + 21 = -3*p, j = -2*p + 8. Let g(i) = -i**3 + i**2 + i - 1. Let n(w) = -3*w**3 + 8*w**2 + 5*w - 6. What is j*g(y) - n(y)? -3*y**3 - 2*y**2 + y Let t(k) = k**2 - 7*k - 5. Let y(o) = -o**2 + 8*o + 4. Give 6*t(b) + 7*y(b). -b**2 + 14*b - 2 Let z(i) = i**3 - 5*i**2 + 2*i - 2. Let y(m) = -m**3 + 6*m**2 - 3*m + 2. Determine 5*y(u) + 6*z(u). u**3 - 3*u - 2 Let i(y) = -3*y + 3. Let b(w) = 8*w - 10. What is 4*b(g) + 14*i(g)? -10*g + 2 Let s(p) = 5*p**3 - 3*p - 10. Let j(f) = -2*f**3 + f + 5. What is 7*j(b) + 3*s(b)? b**3 - 2*b + 5 Let q(b) = -b**2 + 1. Let m(y) = 32*y**2 + 10*y**2 - 4 - 38*y**2. Determine -m(d) - 3*q(d). -d**2 + 1 Let q be 1 - (9 + -3 + -3). Let o(l) = 7*l + 5. Let h(r) = -3*r - 2. Give q*o(c) - 5*h(c). c Let c(g) = -2*g + 4. Let z(a) = a**3 - a + 4. Let r be z(0). Let s(n) = 2*n - 5. What is r*s(v) + 5*c(v)? -2*v Let q(d) be the third derivative of d**3/6 - 5*d**2. Let w(u) = -u + 4. Give 6*q(x) - w(x). x + 2 Let m(v) be the first derivative of v**2 - v - 18. Let y(c) = c - 1. Determine m(l) + y(l). 3*l - 2 Let u(k) = 4 + 10 - 4 - 16*k. Let d be -6 - -6 - (-1 - 1). Let p(z) = 3*z - 2. What is d*u(b) + 11*p(b)? b - 2 Let w(n) = n + 5. Let p(j) = -5*j - 21. Calculate 2*p(l) + 9*w(l). -l + 3 Let l(d) = -d - 1. Suppose 0*n + 7 = 4*n - b, -4*b + 14 = -2*n. Let f(s) = -2*s - 1. Calculate n*f(r) - 4*l(r). -2*r + 1 Let g be -42*(-9)/(108/(-8)). Let d(b) = -6*b. Let w(v) = v. Calculate g*w(m) - 4*d(m). -4*m Let m = 18 - 17. Let n(o) = -7*o**2 - 5*o + 4. Let t(g) = -g**2 - g + 1. Give m*n(u) - 5*t(u). -2*u**2 - 1 Let w(d) = 6*d**3 + 54*d**2 - 54*d + 54. Let u(s) = -s**2 + s - 1. Determine -216*u(x) - 4*w(x). -24*x**3 Let x(l) = 13*l + 3. Let t(d) = d + 1. Calculate 2*t(u) - x(u). -11*u - 1 Let a(u) = 8*u**3 - 5. Let y(w) = 33*w**3 - 2*w + 2*w - 23 + 2. Determine 21*a(o) - 5*y(o). 3*o**3 Let y(w) = -4 - 2*w + 2*w**3 + 0*w**3 + 5*w - 4*w**2. Let v(o) = -3*o**3 + 5*o**2 - 4*o + 5. What is -3*v(f) - 4*y(f)? f**3 + f**2 + 1 Suppose 0 = 4*d -
{ "pile_set_name": "DM Mathematics" }
r). Let q(b) = 4039 - 4039 + b. What is q(y(d))? -d**2 + 50 Let s = 609/62 + -103/31. Let d(t) be the first derivative of s*t**2 - t + 7. Let h(y) = -y. Determine h(d(f)). -13*f + 1 Let k(p) = -7*p - 7*p - 18*p + 11*p. Let i(j) = 15*j**2. Determine k(i(f)). -315*f**2 Let r(a) = 18*a**2. Suppose -2*k + 4*w = -34, k - 66 = -2*k + w. Let j(b) = 23*b - 48*b + k*b. Determine j(r(s)). -36*s**2 Let g(u) = 55*u - 257*u + 556*u. Let s(n) = -43*n**2. Give s(g(k)). -5388588*k**2 Let j(q) be the second derivative of -q**3 - 39*q**2/2 + 3*q - 165. Let l(g) = -11*g**2. Give l(j(o)). -396*o**2 - 5148*o - 16731 Let v(d) = -108*d**2. Let r(b) = -1 - 16742286*b + 16742303*b + 1. Give v(r(f)). -31212*f**2 Let z(u) = -27514647*u. Let o(r) = 9*r. Calculate o(z(w)). -247631823*w Let n(t) = -16*t**2. Let d(u) = -115000*u**2 + 3*u + 1. What is d(n(o))? -29440000*o**4 - 48*o**2 + 1 Let l(v) = -108*v - 121*v + 227*v. Let d = -4 - -6. Let b(u) = -6*u**2 + 2*u**d - u**2. Calculate b(l(a)). -20*a**2 Let k(n) = -3*n + 4. Let i(a) = 35*a - 49. Let c(y) = -4*i(y) - 49*k(y). Let x = 151 + 9. Let z(w) = 160 + 4*w - x. What is z(c(s))? 28*s Let m(g) = 8*g. Let v(z) = -141991*z. What is m(v(n))? -1135928*n Let s(a) = 2*a**2. Let p(b) be the first derivative of 0*b + 4/3*b**3 - 58 - 15*b**2. Determine p(s(y)). 16*y**4 - 60*y**2 Let h(o) = 66*o. Suppose -12 = -2*j + 3*m + 11, -4*m = 5*j. Let f(d) = j*d - 4*d - 19426*d**2 + 19424*d**2. Give h(f(u)). -132*u**2 Let j(h) = 7*h + 50. Let r(c) = -21*c + 2. Let y(o) = 689*o - 65. Let z(v) = 65*r(v) + 2*y(v). Calculate j(z(m)). 91*m + 50 Let s(n) = 31230*n**2. Let g(r) = -64*r + 6. Give g(s(q)). -1998720*q**2 + 6 Let i(d) = -45992641*d. Let q(l) = 2*l**2. Calculate q(i(f)). 4230646052309762*f**2 Let s(f) = 6*f + 1. Let o(l) = 66*l. Let t(g) be the first derivative of -5*g**2/2 + 70. Let b(r) = 2*o(r) + 27*t(r). Calculate b(s(c)). -18*c - 3 Let b(i) be the second derivative of -1/6*i**4 + 0*i**3 + 0 + 0*i**2 + 43*i. Let x(c) = 44*c**2 - 2*c. Calculate x(b(a)). 176*a**4 + 4*a**2 Let g(t) = -6*t**2. Let q(b) = -16*b + 80. Let s(i) be the third derivative of -i**4/24 + i**3/3 + 2*i**2 + 23*i. Let o(j) = -q(j) + 40*s(j). What is g(o(z))? -3456*z**2 Let c(x) be the third derivative of -1 + 0*x**3 + 0*x + 0*x**4 - 1/30*x**5 - 23*x**2. Let f(v) = 0*v**2 + 9*v**2 + 12*v**2. Give c(f(t)). -882*t**4 Let y(r) be the first derivative of -4*r**3 - 1. Let b(g) be the third derivative of -5*g**4/24 + 49*g**2 - 12*g. Calculate y(b(k)). -300*k**2 Let j(c) = -c. Let t(h) be the first derivative of h**2 + 130*h - 151. Calculate j(t(k)). -2*k - 130 Let l(s) = -11*s. Let o(p) = -3713650*p. What is l(o(b))? 40850150*b Let g(k) = -6*k**2. Let j(q) = -5*q**3 + 3*q**2 - q + 3. Let i be j(1). Let a(p) = -6 + 0*p**2 + 14 + 2*p**2 + i + 2. Determine a(g(v)). 72*v**4 + 10 Let s(t) = -9*t**2 - 215. Let i(w) be the first derivative of -w**2/2 - 14765. What is s(i(f))? -9*f**2 - 215 Let x = 7 + -4. Let b(a) = -2324*a - 2 + 2329*a + x. Let q(z) = -z**2. Calculate b(q(i)). -5*i**2 + 1 Let w(x) = 587753*x**2. Let u(n) = -612*n. Determine w(u(g)). 220139359632*g**2 Let u(d) = 10*d**2 + 20*d. Let z(f) = -f**2 - f - 1. Let o(n) = -28*n**2 - 35*n - 35. Let g(w) = o(w) - 35*z(w). What is u(g(l))? 490*l**4 + 140*l**2 Let p(x) = 22*x + 10. Let r(z) = -2*z**2 - 34*z. Let i(y) = -7*y**2 - 136*y. Let b(g) = -i(g) + 4*r(g). What is p(b(k))? -22*k**2 + 10 Let m(t) = 1177*t + 1. Let x(w) = 4440*w**2. Calculate m(x(h)). 5225880*h**2 + 1 Let j(p) = 144*p + 1154. Let b be j(-8). Let r(f) be the third derivative of -19*f**b + 7/60*f**5 + 0*f**3 + 0*f**4 + 0 + 0*f. Let t(w) = -w. Calculate t(r(m)). -7*m**2 Let l = 1635 - 1630. Let a(r) be the third derivative of 0*r**4 + 2*r**2 - 3/10*r**l + 0*r + 0 + 0*r**3. Let o(b) = 2*b. Calculate o(a(d)). -36*d**2 Let l(k) = -2*k**2 - 5*k. Let a(q) = -q. Let u(s) = -5*a(s) + l(s). Let r = 846 + -842. Let g(i) = r*i + 0*i + 19*i - 21*i. What is u(g(p))? -8*p**2 Let a(c) = -8944*c. Let l(r) = -1734*r + 3. Give a(l(j)). 15508896*j - 26832 Let r(q) = -q**2 - 8*q. Let z(i) = -17325*i. Determine z(r(v)). 17325*v**2 + 138600*v Let k(y) = 2 - 2 - 9377*y + 9376*y. Let d(g) = 30*g - 13. Give d(k(f)). -30*f - 13 Let v(i) = 44700133*i + 2. Let q(j) = 12*j. What is q(v(t))? 536401596*t + 24 Let b(x) = 3*x. Let v be (-1)/(-8)*-38*-28. Let h = v + -3. Let a(k) = -68*k + h*k - 66*k. Give a(b(w)). -12*w Let h(c) be the second derivative of -c**3/3 + 15*c. Let j(b) = -6. Let k(i) = i**2 - 18*i + 42. Let z(n) = 7*j(n) + k(n). Give z(h(d)). 4*d**2 + 36*d Let c(d) = -30*d + 10 + 70*d - 46*d - 10. Let i(s) = -s**2 - 1. Let k(m) = -1. Let u(v) = i(v) - k(v). Determine c(u(f)). 6*f**2 Let w(r) = 90534*r. Let j(n) = 36*n**2. Determine w(j(p)). 3259224*p**2 Let k(a) = 3*a**2. Let l(y) be the third derivative of -3*y**4/8 - y**3/6 - 5084*y**2. What is k(l(f))? 243*f**2 + 54*f + 3 Let k(h) = 218213*h. Let m(r) = 35*r. Calculate m(k(z)). 7637455*z Let d(c) = 11*c - 6. Let y(l) = 15*l - 9. Let b(g) = 7*d(g) - 5*y(g). Let a(u) = -9*u - 18. Let w(t) = a(t) + 6*b(t). Let p(f) = 81*f**2. What is p(w(r))? 729*r**2 Let a(g) = 2*g + 188. Let s(y) = 61109*y. Give a(s(b)). 122218*b + 188 Let f(s) = -1. Let y(l) = -2*l**2 + 2. Let w be ((-12)/10)/((-32)/(-80)). Let m(j) = w*y(j) - 6*f(j). Let p(g) = g**2. Calculate p(m(r)). 36*r**4 Let b(s) = 43*s**2 + 25416660*s - 25416660*s. Let a(w) = 27*w. Give a(b(r)). 1161*r**2 Let c(p) = 3*p**2. Let q(y) = -119*y + 98. Suppose 220 - 208 = -3*b. Let t(z) = 5*z - 4. Let m(a) = b*q(a) - 98*t(a). Determine c(m(l)). 588*l**2 Let m(q) = -23126*q**2. Let a(x) = -337*x. Give m(a(r)). -2626396694*r**2 Let k(f) = 6*f. Let c(i) be the second derivative of 53*i**3/3 - 8*i**2 - 5*i - 2. Let r(s) = 35*s - 6. Let d(h) = -3*c(h) + 8*r(h). Determine d(k(g)). -228*g Let k(g) = 61*g - 4. Let a(m) = -183*m + 14. Let f(n) = 2*a(n) + 7*k(n). Let d(t) = 11*t + 2*t**2 - 13*t + 2*t. What is f(d(z))? 122*z**2 Let t(g) = -3*g. Let m(y) = -113 - 152 + 263 - 57*y. Determine t(m(w)). 171*w + 6 Let s(z) = -15355 + 15355 + z**2. Let v(y) be the third derivative of 0*y**4 + 0 - 17/60*y**5 - y**2 + 0*y + 0*y**3. Calculate s(v(j)). 289*j**4 Let d(i) = 3*i**2. Let s = 29875 - 13558. Let n(c) = 16317 + 2*c**2 - s. What is d(n(k))? 12*k**4 Let m(d) = -4*d. Let g(u) = 488917*u. Determine g(m(l)). -1955668*l Let b(t) = -186*t - 54. Let h(u) = 14*u + 4. Let v(f) = 2*b(f) + 27*h(f). Let w(q) be the second derivative of -q**4/12 - 67*q. Determine v(w(p)). -6*p**2 Let a(u) = 317*u - 34. Let m(j) = -112*j + 12. Let g(f) = 6*a(f) + 17*m(f). Let s(y) = 21*y**2 - 23. What is g(s(t))? -42*t**2 + 46 Let p(v) = 300*v**2 - 15*v. Let i(t) = -131*t + 2. What is p(i(n))? 5148300*n**2 - 155235*n + 1170 Let y(s) = -s**2. Let b(w) = 46*w - 47*w + 23*w + 104*w. Determine b(y(d)). -126*d**2 Let w(a) = 79*a**2 - 4258 - 85*a**2 + 4258. Let c(y) = 1104*y**2. Determine w(c(m)). -7312896*m**4 Let p(x) = 34*x. Let w(k) = -k**2 + 5*k - 2. Let q(n) = 332*n**2 + 40*n - 16. Let o(v) = -q(v) + 8*w(v). Calculate o(p(j)). -393040*j**2 Let v(t) = -46*t - 18. Let a be v(-3). Let l(n) = 120 + 10*n - a. Let d(o) = -16*o. Give d(l(m)). -160*m Let b(k) = -k**3 + 4*k**2 - 2*k + 10. Let u be b(4). Let z(n) = -109 + 5*n**u + 109. Let a(p) = 2*p**2. Calculate a(z(j)). 50*j**4 Let z(v) = 30*v**2. Let l(w) = -1. Let m(x) = x + 1. Let c = -9 - -10. Let d(t) = c*l(t) + m(t). What is z(d(r))? 30*r**2 Let f(u) = 14*u**2. Suppose -3*s + h = -2600, -3*s = -7*s - 3*h + 3458. Let c(a) = -s - 4*a + 866. Determine f(c(r)). 224*r**2 Let a(l) = -491*l. Let i(o) = 52219*o. Give i(a(k)). -25639529*k Let z(i) be the first derivative of -i**2 + 2091. Let s(h) = 303*h - 11. Give z(s(o)). -606*o + 22 Let h(s) = -318*s. Let d(x) = 3317*x. Determine h(d(z)). -1054806*z Let f(s) = -3*s. Let l = -179 - -181. Let h(m) = -6*m**l + 20*m**2 - 2*m**2. What is f(h(i))? -36*i**2 Let o(n) = 48*n**2 - 11*n + 22. Let r(s) = -9*s**2 + 2*s - 4. Let g(y) = -6*o(y) - 33*r(y). Let t(h) = 9*h**2 + 6*h**2 + 6*h**2 - 12*h**2. What is t(g(d))? 729*d**4 Let t(c) = 42*c**2 - 1. Let r(p) = -83471*p + 83471*p - 5*p**2 + 2*p**2. Determine r(t(q)). -5292*q**4 + 252*q**2 - 3 Let g(z) = -50654*z. Let h(j) = 77*j + 1. Give h(g(k)). -3900358*k + 1 Let c(n) = -16*n**2 - 602*n - 14.
{ "pile_set_name": "DM Mathematics" }
/(t/(t*t**(-1/3)/t*t)*t*t))**(-2/5) assuming t is positive. t**(8/15) Simplify (s**(-8)/(s*s**(-2/69)))**(-4/11) assuming s is positive. s**(2476/759) Simplify (i/(i*i*i/((i*i*i**0*i*i*i)/i)))/(i*i/i**(8/7))*(i**(2/11))**1 assuming i is positive. i**(102/77) Simplify y**(-3/5)*y**(-1/2)*y*(y**(2/3))**(-2/75) assuming y is positive. y**(-53/450) Simplify (m**1*m**(-2/5))**(3/41) assuming m is positive. m**(9/205) Simplify z**(-7)/(z*z/(((z/z**(1/5)*z)/z)/z))*((z**(-2/3)/z)/z*z*z)/z**1 assuming z is positive. z**(-163/15) Simplify ((r*r**(-1/8))/((r/((r/(r/(r**(4/5)*r))*r)/r))/r))/((r**3/r)/(((r**(-2/11)*r)/r*r)/r*r)) assuming r is positive. r**(657/440) Simplify (v/(v*(v*v**(7/5)/v)/v*v))**(-26) assuming v is positive. v**(182/5) Simplify (j**10*j*j**5)**(-21) assuming j is positive. j**(-336) Simplify (o**(-7/4)*o)/o**23 assuming o is positive. o**(-95/4) Simplify (o*o**(2/3))**(-8)*o*(o/o**(-2/7))/o*o/(o**(-2/21)/o) assuming o is positive. o**(-209/21) Simplify (x*x/x**2*x**5)/(x*x**(-2/9)*x**9) assuming x is positive. x**(-43/9) Simplify (((q*q**(-9)/q)/q*q)/(q**0/q))/(q**7/q**1) assuming q is positive. q**(-14) Simplify c**1*c*c**(4/9) assuming c is positive. c**(22/9) Simplify (c**(-6)/c*c**(-3/2))/((c/(c**(2/5)*c*c))/c*c*c/(c*(c/(c**6*c)*c)/c*c*c)) assuming c is positive. c**(-111/10) Simplify g**(-4)*g/(g/(g/(g*g/g**(1/3)*g)*g)*g)*g*((g**(-1/3)*g)/g)**3 assuming g is positive. g**(-17/3) Simplify ((y**(1/6))**8)**(-1/21) assuming y is positive. y**(-4/63) Simplify (c**1)**(-25)/(c**(2/3)/(c**(2/21)*c*c)) assuming c is positive. c**(-165/7) Simplify (w**(2/47)*w*w)**27 assuming w is positive. w**(2592/47) Simplify ((j*j*j/(j/(((j*(j*j/(j*(j*j/(j/(j*j*(j*(j*j*j*j**(11/8)/j*j)/j*j)/j))*j*j)/j*j))/j*j)/j)/j)))/j)/j*j*j/(j/(j**12*j)) assuming j is positive. j**(37/8) Simplify (d*(d/((d*d**(2/7)*d)/d))/d)**(2/49) assuming d is positive. d**(-4/343) Simplify (p/p**(-22))/p**(-5/8) assuming p is positive. p**(189/8) Simplify (u*(u/((u/(u*u**(2/9)))/u*u)*u)/u*u*u)/(u/u**5) assuming u is positive. u**(74/9) Simplify (z**(3/10)*z*z**3)**(-36) assuming z is positive. z**(-774/5) Simplify g*g**1*(g**0*g)/g*(g**0*g)**22 assuming g is positive. g**24 Simplify (((l/l**(-1/2)*l)/l)/l)**36/(l/(l*l*l/l**(-2/5)*l))**(-17) assuming l is positive. l**(-199/5) Simplify ((y/((y/(y**(-1/7)/y))/y))/y**7)**(-7) assuming y is positive. y**50 Simplify (h**(-1/15)*h*h*h**(-6))**(-2/27) assuming h is positive. h**(122/405) Simplify (z/z**0)**(-18)*z/(z*z**(-8/5)*z*z)*z**(-1) assuming z is positive. z**(-97/5) Simplify c**7*c*c/c**(-2/25) assuming c is positive. c**(227/25) Simplify (s*s**(11/3))/s**(-2/5) assuming s is positive. s**(76/15) Simplify m**24*m**(1/10)*m assuming m is positive. m**(251/10) Simplify v**(4/13)/v*(((v/(v*v**8)*v)/v)/v)/v assuming v is positive. v**(-139/13) Simplify ((o*o**(1/9)*o)/((o*o**(-12/5))/o))**(-23) assuming o is positive. o**(-4669/45) Simplify m**18*m*m**(-28)*m*m assuming m is positive. m**(-7) Simplify (l*l*l**(-1/2))**(-3/11)/((l**1*l)/l)**1 assuming l is positive. l**(-31/22) Simplify (s*s**17*s*s)**(-50) assuming s is positive. s**(-1000) Simplify (b*b**(1/4))/(b/((b/(b/(b/((b**(1/10)/b*b)/b))))/b*b)) assuming b is positive. b**(43/20) Simplify (l**(-1/2))**(1/22)*(l**(2/5))**0 assuming l is positive. l**(-1/44) Simplify q**5/q**(-28) assuming q is positive. q**33 Simplify (g*g/g**(-3/8)*g*g*g*g*(g/((g/g**(-2/11)*g)/g*g))/g*g*g)**(7/4) assuming g is positive. g**(3815/352) Simplify ((w/w**(-1)*w)/(w*w**(-6)))/((w**1/w)/w*w*w)**19 assuming w is positive. w**(-11) Simplify ((j**(-2/3)/j)/j)/(j*j**10) assuming j is positive. j**(-41/3) Simplify (w*w**(-3)/w)/w**(1/5) assuming w is positive. w**(-16/5) Simplify ((y*y/(y**(-1/5)/y)*y)/y*y)/y**(2/9)*(y*y**1)**(-18) assuming y is positive. y**(-1441/45) Simplify ((g*g/(g*g**(1/3)))/(g**17/g*g*g))**14 assuming g is positive. g**(-728/3) Simplify (v**(-10)*v**(1/6))**(1/7) assuming v is positive. v**(-59/42) Simplify (w**(-2/3)*w/(w*w*w**(1/6)))/(w**(7/4)/w*w**(-1/2)*w) assuming w is positive. w**(-37/12) Simplify b**(-6/5)*b*b/(b**(-9/2)*b) assuming b is positive. b**(43/10) Simplify m**(3/5)*m*m*m*m**38 assuming m is positive. m**(208/5) Simplify (w/w**23)/(w*w**9) assuming w is positive. w**(-32) Simplify (x**(-1))**(4/23)*(x*x**1)**(-41) assuming x is positive. x**(-1890/23) Simplify (o**(-1))**(-18/13) assuming o is positive. o**(18/13) Simplify ((k*k**(-10))/k)**40 assuming k is positive. k**(-400) Simplify d**(-3/5)/(d**(1/6)*d)*d*d**(-5/6)*d**(-2/3) assuming d is positive. d**(-34/15) Simplify w/w**(-15)*w**(9/4)*w assuming w is positive. w**(77/4) Simplify n/(n/((n*n**(-5)/n)/n))*n/(n**(-2)/n) assuming n is positive. n**(-2) Simplify (g/g**(-29)*g)/g**(-38) assuming g is positive. g**69 Simplify (u**(-1/2))**(6/13)/((u**(4/9)/u)/u**(-2)) assuming u is positive. u**(-196/117) Simplify (o/(o**34/o))/o**(8/3) assuming o is positive. o**(-104/3) Simplify (i/i**(-6))**(-1/9) assuming i is positive. i**(-7/9) Simplify a**(-16/3)*a**(1/23) assuming a is positive. a**(-365/69) Simplify v/(v*v**5)*(v*v/(v/v**(-15)))/v*v assuming v is positive. v**(-19) Simplify (k**(4/9))**47 assuming k is positive. k**(188/9) Simplify (n/n**(-1/5)*n/n**(-2))/(n**(1/7)/(n/(n**(-1/7)*n*n))) assuming n is positive. n**(16/5) Simplify (j*j**(1/8)*j)/(j/j**7)*(j/(j*j*j**(-4/7))*j)/j**(-1/2) assuming j is positive. j**(515/56) Simplify (y**(-2))**(-2/61)/(y**(-1)/((y*y/(y*(((y**(2/27)*y)/y)/y)/y))/y)) assuming y is positive. y**(4927/1647) Simplify b/(b**(2/51)*b)*b**(1/8) assuming b is positive. b**(35/408) Simplify ((a**(1/3))**(-35))**(-13) assuming a is positive. a**(455/3) Simplify r**(1/8)/(r**(-1/13)*r) assuming r is positive. r**(-83/104) Simplify m**(-4/7)*m**8*m**(-1/4)/m**6 assuming m is positive. m**(33/28) Simplify (f**(-2/25)*f**5)**(-3/29) assuming f is positive. f**(-369/725) Simplify (u**(-6)/(((u/((u*(u*(u/(u**3/u))/u)/u*u)/u)*u)/u)/u))**(1/11) assuming u is positive. u**(-7/11) Simplify (w**(-3)*w)**(3/7)*w*w**(-2/21)*(w/((w*w**(-10/3))/w))/w assuming w is positive. w**(71/21) Simplify (r**24)**(-41) assuming r is positive. r**(-984) Simplify (p*p**(-1/6)*p**(-1/4)/p)**(-29) assuming p is positive. p**(145/12) Simplify (s**(2/7)/s)/(s**(2/5)*s) assuming s is positive. s**(-74/35) Simplify ((w*w*w*w/(w*w**22)*w)/w)/(w/(((w/(w**(-14)/w)*w)/w)/w)) assuming w is positive. w**(-5) Simplify k**(-2)*k*k*((k*k**(1/15))/k*k)/k assuming k is positive. k**(1/15) Simplify (x**1)**47*(x*x*(x*x**7)/x)/((x/((x**(-7)*x)/x))/x) assuming x is positive. x**49 Simplify (c*(c/c**(-3))/c*(c/(c**(1/2)*c))/c)**(-2/27) assuming c is positive. c**(-5/27) Simplify (c/(c*c**0))/c*c**(-31) assuming c is positive. c**(-32) Simplify (r*r/r**(-4)*(r*r**(4/3))/r)/((r*r*(r**(-1/3)/r)/r*r)/r)**(1/23) assuming r is positive. r**(169/23) Simplify (m**(2/7)*m**(-3/4)*m)/(m**(2/5))**(37/3) assuming m is positive. m**(-1847/420) Simplify (n/(n*n*n**6)*n/(n**(-4)/n))**36 assuming n is positive. n**(-36) Simplify t**15*t*t*t**(9/8) assuming t is positive. t**(145/8) Simplify ((t*t**(1/2))/t)**(7/9)*t**(-2/21)*t*t**3 assuming t is positive. t**(541/126) Simplify ((d**(1/5)*d)/((d**(-4)/d)/d))**0 assuming d is positive. 1 Simplify m*m**(6/7)*m*m**(1/4)/m*m**(-4)/m**(3/2) assuming m is positive. m**(-95/28) Simplify (y**(-2/7))**(2/33)/(y/y**(-1/3))**(-49) assuming y is positive. y**(15088/231) Simplify (j*j*j/(j*(j*j**(2/9)*j*j)/j)*j*j/j**(-1/8))**(-33) assuming j is positive. j**(-1507/24) Simplify (a**(1/4)*a)/a**(-10/7) assuming a is positive. a**(75/28) Simplify s**(-1/30)/((s**(-4/13)*s)/s) assuming s is positive. s**(107/390) Simplify n**(2/15)*n**(3/7)*((n**(-2)/n)/n)/n**(-1) assuming n is positive. n**(-256/105) Simplify u*u**(26/5)*u**(-8/13)/u*u assuming u is positive. u**(363/65) Simplify y**9/y**(6/7) assuming y is positive. y**(57/7) Simplify (f**1)**(-2/15)/(f**3*f/f**6) assuming f is positive. f**(28/15) Simplify v**4*v*v**(-14) assuming v is positive. v**(-9) Simplify ((q/(q**4*q)*q*q)/(q*q**(-6)/q))**32 assuming q is positive. q**128 Simplify v**(15/7)*v**(-27) assuming v is positive. v**(-174/7) Simplify (k*k/k**(23/2)*k)/(k*k**(-2/5)) assuming k is positive. k**(-91/10) Simplify ((f*f**4/f)/(f*f*f**0*f))/(f/
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -f**5/20 - 1203*f**2. Let h(r) = 351*r**2 + 5*r. What is h(m(l))? 3159*l**4 - 15*l**2 Suppose -5*m + 2*m = 3*n, -2*n = 5*m - 9. Let u(l) = -l - l + 8*l - m*l. Let i(j) = -11*j. Let d(h) = 5*h. Let f(v) = -13*d(v) - 6*i(v). Calculate f(u(t)). 3*t Let m(n) = -5*n. Let v(k) be the first derivative of -55 + 0*k**2 + 4/3*k**3 + 0*k. Calculate v(m(b)). 100*b**2 Let m(x) = 99*x - 14. Let n(a) = -85*a + 12. Let j(h) = 6*m(h) + 7*n(h). Let k(g) = g - 12. Calculate j(k(s)). -s + 12 Let j(o) = 4548*o**2 - 2*o. Let z(s) = 6076*s. Determine z(j(g)). 27633648*g**2 - 12152*g Let t(v) = 10372*v**2 - 5894*v**2 - 4476*v**2. Let r(p) be the first derivative of -p**3/2 - p - 1. Let d(x) be the first derivative of r(x). Calculate d(t(h)). -6*h**2 Let p(v) = 980547345*v**2. Let r(t) = 2*t. What is r(p(j))? 1961094690*j**2 Let j(a) = 427*a. Let z(s) = 885922*s + 1. Determine j(z(k)). 378288694*k + 427 Let q(f) = 56*f. Let b(r) = 8168*r**2 - 6*r. What is q(b(t))? 457408*t**2 - 336*t Let z(g) = -6*g - 45. Let n(h) = -h - 9. Let i(d) = -15*n(d) + 3*z(d). Let j(p) = p**2 - 3*p + 3. Let k be j(3). Let a(b) = k*b**2 + 57 - 57. Determine a(i(w)). 27*w**2 Let y(p) = 14*p + 6. Let u(d) = 240*d + 96. Let a(r) = u(r) - 16*y(r). Let l(v) = 79*v + 5. Determine a(l(q)). 1264*q + 80 Let q(z) = 123*z**2 - 242*z**2 + 124*z**2. Let b = 12 - 10. Let c(v) = 9 + b*v**2 - 9. Give q(c(d)). 20*d**4 Let n(y) = 5*y**2 - 6*y. Let x(u) be the second derivative of -2*u**4 - 1025*u + 1. Determine n(x(b)). 2880*b**4 + 144*b**2 Let y(s) be the second derivative of -1/12*s**4 - 2*s + 0*s**3 + 0*s**2 + 0. Let z(l) = -60*l. Calculate y(z(g)). -3600*g**2 Let s(u) = -3*u**2. Let d(x) be the second derivative of 0*x**2 - 7/12*x**4 + 0 + 181*x + 0*x**3. Calculate s(d(z)). -147*z**4 Let n = -53 + 71. Let b(q) = 9*q + 15*q + n*q - 28*q. Let i(r) = 12*r**2. Calculate b(i(p)). 168*p**2 Let d(i) = 28*i - 100. Let m be d(4). Let x(z) = -2*z + 2 - 2 - m*z + 11*z. Let o(a) = -19*a. Give x(o(w)). 57*w Let x(n) = -36*n**2 + 19907508*n - 19907508*n. Let r(q) = -99*q**2. Determine x(r(c)). -352836*c**4 Let x(c) = -221541*c. Let h(j) = -55*j**2. Calculate h(x(z)). -2699422807455*z**2 Let f(l) = 4401*l**2 - 4*l - 182. Let z(r) = -2*r**2. Calculate f(z(o)). 17604*o**4 + 8*o**2 - 182 Let p(z) = -12*z**2. Let g(j) = -50*j + 1. Let r(y) = -402*y + 62. Let u(q) = -8*g(q) + r(q). Determine p(u(w)). -48*w**2 + 2592*w - 34992 Suppose -2*j + 18 = j. Let r(x) = -6*x + j*x - 2*x. Let t(b) = 3*b + 15. Let u(l) = -4*l - 10. Let y(k) = -4*t(k) - 6*u(k). Give y(r(a)). -24*a Let f(n) = -1596*n - 888*n - 2858*n + 7559*n. Let w(u) = -3*u**2. Determine f(w(m)). -6651*m**2 Let i(c) = 21*c. Let m(z) = 6*z**2 + 15069. Give i(m(d)). 126*d**2 + 316449 Let d(t) = 2*t**2. Let m(p) = p - 6. Let f = -181 - -184. Let o(h) = 7. Let s(z) = f*m(z) + 2*o(z). What is d(s(i))? 18*i**2 - 48*i + 32 Let o(p) = 2*p. Let r(f) = -1934*f**2 + 903. Determine r(o(d)). -7736*d**2 + 903 Let b(s) = -s**2. Let k(v) = 126*v**2 + 15148*v - 2. What is k(b(w))? 126*w**4 - 15148*w**2 - 2 Let j(n) = 9292*n + 36. Let v(s) = -104*s. Give v(j(g)). -966368*g - 3744 Let m(v) = v**2 + 1583*v + 2. Let b(s) = -39*s + 8. Give m(b(j)). 1521*j**2 - 62361*j + 12730 Let q(o) be the second derivative of -27*o - 65/3*o**3 - 2 + 0*o**2. Let t(l) = l. Give t(q(b)). -130*b Let a(u) = -17*u. Let z(r) = r**2 + 23*r + 63. Let g be z(-20). Let v(j) = -11*j + g*j + 4*j + 6*j. What is a(v(k))? -34*k Let g(a) be the first derivative of -5*a**3/2 - 19*a - 62. Let r(w) be the first derivative of g(w). Let f(l) = -10*l. Determine r(f(v)). 150*v Let c(j) be the first derivative of -12*j**2 + 155. Let v(t) be the third derivative of 0*t**4 + 0 + 0*t + 5*t**2 + 0*t**3 + 1/30*t**5. What is c(v(r))? -48*r**2 Let p(l) be the second derivative of 299*l**4/12 + 2182*l. Let f(z) = -3*z**2. Calculate f(p(j)). -268203*j**4 Let y(z) = 955*z. Let a(d) = -2*d**2 - 34*d + 3. Determine a(y(q)). -1824050*q**2 - 32470*q + 3 Let c(w) = -w. Let k(s) = 2*s**2 - 726824. Calculate k(c(l)). 2*l**2 - 726824 Let p(f) = 5669*f + 58. Let i be p(16). Let t(l) = i*l + 2*l**2 - 90762*l. Let z(r) = 8*r + 4. What is t(z(x))? 128*x**2 + 128*x + 32 Let v = -31 - -33. Let s(f) = -17*f**2 + 11*f**2 - 10*f**2 - 8*f**v. Let t(c) = c. Calculate s(t(x)). -24*x**2 Let q(c) = -c**2 + 10. Suppose -25 = 20*n - 25*n. Let t(j) = -12 + j**2 - 10 - 10 + 16. Let v(m) = n*t(m) + 8*q(m). Let y(o) = -24*o. Determine v(y(g)). -1728*g**2 Let f(u) = -12*u. Let z(k) be the third derivative of 3*k**2 + 5/24*k**4 + 0*k**3 - 2 + 0*k. What is z(f(d))? -60*d Suppose 5*l - 4*u - 14 = 0, l - u + 3*u = 0. Let t(j) be the first derivative of -8 + 14*j**2 - 12*j**2 - 5*j**l. Let h(m) = m**2. Determine t(h(y)). -6*y**2 Let o(c) = 2*c. Let t(z) be the third derivative of -75*z**4/8 - 5*z**3/6 + 4421*z**2. Calculate t(o(g)). -450*g - 5 Let k(a) = 8*a**2. Let s(o) = -2*o**2. Let t(v) = -2*k(v) - 18*s(v). Suppose -5*r - 9 = -4*z + 22, -r = -4*z + 19. Let x(q) = z*q + 0*q - 6*q. Give x(t(i)). -40*i**2 Let k(q) = q. Let p(x) = 4*x. Let a(o) = -5*k(o) + p(o). Let d = 238 - 224. Let c(w) = -2*w + d*w + 20*w + 9*w. What is a(c(s))? -41*s Let o(f) = 1602*f**2 - 178*f + 534. Let y(r) = 89*r**2 - 10*r + 30. Let q(b) = -5*o(b) + 89*y(b). Let t(u) = -7*u**2. What is t(q(h))? -55447*h**4 Let m(d) = 52*d + 2. Let y(n) be the second derivative of -5*n**3 - 2726*n. Determine m(y(r)). -1560*r + 2 Let j(f) = 169788*f**2. Let v(i) = 62*i - 2. Give v(j(y)). 10526856*y**2 - 2 Let v(p) = -3*p - 18809. Let j(d) = 1541*d**2. Calculate v(j(a)). -4623*a**2 - 18809 Let h(l) = -l - 5. Let q(b) = -8*b**2 + 2. Let r(g) = 35*g**2 - 8. Let i(c) = -4*q(c) - r(c). Calculate i(h(x)). -3*x**2 - 30*x - 75 Let l(p) be the second derivative of -p**7/2520 + 3*p**4/2 + p**3/3 - 70*p. Let n(b) be the third derivative of l(b). Let k(c) = -12*c - 2. Determine n(k(q)). -144*q**2 - 48*q - 4 Let o(t) = 16*t - 5. Let h(b) = -39*b + 12. Let m(r) = -3*h(r) - 7*o(r). Let f(j) = -5*j**2. Give f(m(q)). -125*q**2 + 50*q - 5 Let s(g) = 13*g. Let w(m) = -11*m + 8. Let t(f) = 21*f - 10. Let v(x) = 106*x - 48. Let r(h) = -11*t(h) + 2*v(h). Let y(u) = -4*r(u) + 7*w(u). Give s(y(i)). -13*i Let r(w) = 260*w + 0 + 0 - 318*w + 147*w. Let a(v) = 3*v**2 + 7*v. Give a(r(s)). 23763*s**2 + 623*s Let v(f) = -204*f**2 - 2. Let z(o) = 20226*o. Give z(v(m)). -4126104*m**2 - 40452 Let p(n) = -9*n + 72. Let c(m) = 3*m - 23. Let b(i) = 7*c(i) + 2*p(i). Let w(s) = -2*s**2 - 28. Give b(w(v)). -6*v**2 - 101 Let d(s) = 6*s**2 - 1751*s - 4. Let k(b) = 13*b. Give k(d(u)). 78*u**2 - 22763*u - 52 Let r(m) be the second derivative of -m**4/6 + 79*m + 2. Let s(k) = -524*k**2 - 1. Give s(r(w)). -2096*w**4 - 1 Let m(w) = -21*w. Let v(d) = -3*d**2 - d + 6. Let y(l) = 35*l**2 - l + 9. Let x(r) = v(r) - y(r). Determine m(x(s)). 798*s**2 + 63 Let b(t) be the first derivative of -2*t**2 + 2*t**2 - 14 + 3 + 2*t**2. Let w(l) be the first derivative of l**2/2 - 16. Determine w(b(o)). 4*o Let w(d) = -154*d**2. Let b(m) = 9*m**2 - 4*m. Suppose -2*x = 5 - 3. Let t(u) = -2*u**2 + u. Let r(h) = x*b(h) - 4*t(h). Determine r(w(g)). -23716*g**4 Let k(b) = b. Let d(v) = -v**2 - 18*v + 23425621. What is d(k(a))? -a**2 - 18*a + 23425621 Let u(d) = 2*d. Let t(v) be the first derivative of v**3 + 111*v**2/2 + 4719. Calculate u(t(q)). 6*q**2 + 222*q Let g(h) = 2*h. Let l(s) be the first derivative of 44*s**3/3 - 5*s**2/2 + 3555. What is l(g(m))? 176*m**2 - 10*m Let m(a) = 7*a**2 + 279084*a. Let l(p) = -20*p**2. Give m(l(y)). 2800*y**4 - 5581680*y**2 Let b(x) = 4*x**2 - 6*x - 174. Let v(l) = l**2 - 3*l. Let n(s) = -2*b(s) + 4*v(s). Let a(d) = -6*d. Give a(n(u)). 24*u**2 - 2088 Let g(f) = -f**2 + 6821*f. Let v(r) = r - 84. Calculate v(g(y)). -y**2 + 6821*y - 84 Let b(q) = -2*q**2. Let u(j) be the second derivative of -1267*j**3/6 - 32*j. Give b(u(d)). -3210578*d**2 Let i(b) = -228913*b + 7. Let v(w) = -3*w**2. Determine i(v(x)). 686739*x**2 + 7 Let f(z) = -3*z**2. Let w(r) = 130 - 229*r**2 - 599*r**2 - 61*r**2 - 130. Calculate f(w(a)). -2370963*a**4 Let w(c) = -c**2 - 1362. Let z(p) = -4*p + 39. Let t(r) = 15*r - 143. Let i(h) = -3*t(h) - 11*z(h). What is w(i(d))? -d**2 - 1362 Let a(v) = -2*v**2. Suppose -3*u = 4*z - 81, -4*z - 4*u + 79 = -5.
{ "pile_set_name": "DM Mathematics" }
qrt(48)*-2). 5*sqrt(3) Simplify -6*2*(3 + (-5 + sqrt(700) + 0 - (2 + sqrt(700) + sqrt(700) + -2)))**2*2. -16896 - 960*sqrt(7) Simplify (sqrt(1372) + 6*-1*sqrt(1372) + sqrt(1372))*5 + 6*sqrt(1372)*-2*3. -784*sqrt(7) Simplify (2*sqrt(84)*-3 - -2*sqrt(84)*2)/(-5*sqrt(300)*1). 2*sqrt(7)/25 Simplify 4*((1*sqrt(480)*2)/(sqrt(108)/sqrt(2)*6) + 0 + -4). -16 + 16*sqrt(5)/9 Simplify ((1*((sqrt(343) - 2*sqrt(343)*1) + 4))**2 - (-2 + 3 + (sqrt(343) - (sqrt(343) - sqrt(343)*1)*-4)))*-5. -1790 + 315*sqrt(7) Simplify -4*((sqrt(19) + sqrt(19) + 1 + -2 - (2 + 2 + sqrt(19)))**2 - ((sqrt(209)/(sqrt(44)/sqrt(4) + sqrt(11)) + 4)*1)**2). -93 + 56*sqrt(19) Simplify 1 + -1*((-4*(sqrt(242) + sqrt(242)*3*-6))**2 + 2). -1119009 Simplify 2 + 3*((-5 + sqrt(180) + 0)**2 + -1*sqrt(15)/sqrt(3) + sqrt(5) + (2*sqrt(125))**2)*-5*-2. -1800*sqrt(5) + 21152 Simplify (4*-2*(sqrt(5040) - ((sqrt(5040) - 1*sqrt(5040)) + sqrt(5040) - sqrt(5040))))/(-5*sqrt(25)/(1*sqrt(5)*1)) + 5. 5 + 96*sqrt(7)/5 Simplify (-1*sqrt(49)*-5)/(-2*sqrt(343))*2 - ((sqrt(7) + (sqrt(7) - sqrt(14)/sqrt(2)) + sqrt(7))*-4*5 + (sqrt(7) + (sqrt(7)*2*-4)**2)*2). -896 + 261*sqrt(7)/7 Simplify ((((sqrt(150) - (sqrt(150) + (sqrt(150) - 2*sqrt(150)))) + sqrt(150))*-6 - sqrt(150)) + sqrt(150) - sqrt(150))/((sqrt(96)/(-1*sqrt(6)))/sqrt(8))*5*5. 1625*sqrt(3) Simplify (sqrt(133) - 1*sqrt(133)*2 - sqrt(133)*-1*2)/(sqrt(63)/((sqrt(45)*-2)/sqrt(5)))*2. -4*sqrt(19) Simplify (-2*(-5 + (3 + sqrt(72) + sqrt(72)*1 + -3 + 4)*4))**2. 4224*sqrt(2) + 18916 Simplify 2 + (sqrt(5808) - (0 + sqrt(5808))*5 - (sqrt(5808) + (-2*sqrt(5808)*1 - sqrt(5808))))**2*3*-2*-2. 278786 Simplify -1*5*(5 + (sqrt(396)*-1 + -5)**2)*6*-3. 5400*sqrt(11) + 38340 Simplify ((-2 + sqrt(272))**2*-2 + 1 + (sqrt(272)*-1)**2 + sqrt(272) + -2 + 5 + 4)*6. -1632 + 216*sqrt(17) Simplify -1 + (0 + 3*3*(sqrt(448)*2 + 4 - sqrt(448) - -4*(sqrt(448) - sqrt(448)*1))*-2)**2. 20736*sqrt(7) + 150335 Simplify 2*(sqrt(1872) + sqrt(1872) + 2*(sqrt(1872) + -1) - (5 + -1*sqrt(1872)) - 6*((sqrt(1872) - (-1 + sqrt(1872))) + -4))**2*4*-6. -2252208 - 63360*sqrt(13) Simplify (-1*sqrt(130)*1 + sqrt(130)*2*-3)/(1*sqrt(160)*-5). 7*sqrt(13)/20 Simplify (-5 + (-4*-2*sqrt(44) - (sqrt(1331) - (0 + sqrt(1331)) - (sqrt(1331) + -1)**2)) + -4)*-1. -1323 + 6*sqrt(11) Simplify (6*(sqrt(637) - (sqrt(637) + sqrt(637) + sqrt(637) + -1 + 5)))**2 + 3 + 2*((sqrt(1053) - ((sqrt(1053) - 2*2*sqrt(1053)) + sqrt(1053)))*3)**2. 4032*sqrt(13) + 262893 Simplify -4*((-1 + 4*-4*(-6*sqrt(1584) - sqrt(1584)) + -2)*-4)**2. -1271661120 + 516096*sqrt(11) Simplify ((sqrt(1331) - -4*(1 + sqrt(1331)))*4*-2 - ((-2*(2 + sqrt(1331)) - (sqrt(1331) + (sqrt(1331) + 1*sqrt(1331))*-6)) + -2))**2. 28028*sqrt(11) + 3196407 Simplify sqrt(5) + -4*sqrt(320) + (sqrt(5)*1)**2 + -3 + 6*sqrt(5)*2*6*5. 2 + 329*sqrt(5) Simplify -4*(sqrt(1694)*-4*5)/(sqrt(288) - (sqrt(288) + sqrt(288)*-4 + sqrt(288))*-1)*-1. 220*sqrt(7)/3 Simplify 2*4*(sqrt(704) + sqrt(704) + -3 + sqrt(704) + 2 - 4*sqrt(704)*1)**2*-1. -5640 - 128*sqrt(11) Simplify ((sqrt(39) - sqrt(351)/(sqrt(9)*-1))/(sqrt(3)*1*-2) - ((sqrt(104) + sqrt(104)*-1)*-2)/(sqrt(224)/sqrt(7))) + 4. -sqrt(13) + 4 Simplify ((sqrt(294)*-2*3*3)/(sqrt(72) - (sqrt(72) - -1*sqrt(72))*5 - (sqrt(72) + sqrt(72)*-2)*6))**2. 147 Simplify (3 + (-5*sqrt(832)*2*-4 + -3)*6*-2)**2. -299520*sqrt(13) + 191694321 Simplify (3 + 5*(sqrt(68) + 0) + sqrt(68) - (sqrt(425) + 4 - sqrt(51)/sqrt(75)))*2. -2 + 72*sqrt(17)/5 Simplify -2 + (-4 + sqrt(3888) + -3)**2 + 2 + 4*sqrt(81)/sqrt(3). -492*sqrt(3) + 3937 Simplify 0 + 1 + ((1*sqrt(176)*2)**2 - (sqrt(176)*2)**2*3 - (5*(0 + sqrt(176) + sqrt(176)) + (sqrt(176) - (5 + 1*sqrt(176) + sqrt(176)))**2)) + -4. -1612 - 80*sqrt(11) Simplify ((4 + (sqrt(847)*-3 + 1 - (5 + sqrt(847) + 4 + sqrt(847))))*-5 + 1)**2. 11550*sqrt(7) + 529816 Simplify -4 + (5*sqrt(704) + -3 - sqrt(704))*-3*3. -288*sqrt(11) + 23 Simplify (-3 + (sqrt(204) - -2*sqrt(204)*3 - sqrt(204))/(-3*sqrt(24)/sqrt(2)) + (sqrt(85)/(sqrt(20)/sqrt(4)) - (sqrt(17)*-1 + -2)))**2. 1 Simplify 3*(6*sqrt(108)*1 + sqrt(108)) - ((sqrt(3) + sqrt(27)/sqrt(144) - sqrt(9)/(sqrt(3)*-2)) + -2). 2 + 497*sqrt(3)/4 Simplify (-4 + (6*2*sqrt(13) + -2 + 1*sqrt(13) - (5 + sqrt(1053)*-4)))**2*1. -1078*sqrt(13) + 31334 Simplify -1*((sqrt(1573) + -3 + 2 + 5 - (-2 + -4 + sqrt(1573)*2))*5)**2. -41825 + 5500*sqrt(13) Simplify (sqrt(52))**2*-6 + 3 + 0 - ((sqrt(468) + 1)*-5 - (-3 + (sqrt(468) - (sqrt(468) + (0 + sqrt(468) - sqrt(468))))))**2. -12013 - 120*sqrt(13) Simplify (-4 + 6*(-6*1*sqrt(891) + (sqrt(891) - ((sqrt(891) + 0 + sqrt(891))*-5 + sqrt(891)))) + 4 + -1)**2. -432*sqrt(11) + 513217 Simplify ((sqrt(44) - 2*sqrt(44)*6)/(sqrt(10)/sqrt(80)))/(-3*-5*sqrt(539)*-2). 22*sqrt(2)/105 Simplify (2 + 2*sqrt(125)*1 + -1 + sqrt(125) + -1 + ((sqrt(125) + -2*sqrt(125))*-1 - sqrt(125)*-3*-1))**2. 125 Simplify (5*(-5 + -3 + -1*(sqrt(1088)*2*6 + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + sqrt(1088)*1*-5))))))**2. 25600*sqrt(17) + 1742400 Simplify (0 + -2*(0 + sqrt(72) + sqrt(72) + 1 - (-3 + sqrt(72) + (-1*sqrt(72) - sqrt(72))))**2 + -1)*6. -7974 - 1728*sqrt(2) Simplify ((-4 + 1*sqrt(832) + (sqrt(832) - -5*((0 + sqrt(832) - sqrt(832)) + sqrt(832))))**2 + ((1 + sqrt(832) + 1 - sqrt(832)) + 5)**2)*3. -1344*sqrt(13) + 122499 Simplify (-2*(-2 + (3*sqrt(76) - sqrt(76)))*3)**2 - (3 + sqrt(76)*-3 + sqrt(76)*2 + 3). -574*sqrt(19) + 11082 Simplify (-3*(2 + sqrt(2736) + 2 + sqrt(2736) - sqrt(2736)) + 2 - (-4*(2 + sqrt(2736)) - (3*-2*sqrt(2736) + sqrt(2736) + sqrt(2736))))**2. 144*sqrt(19) + 24628 Simplify (-6*(sqrt(170) + (sqrt(170) - sqrt(170)*4) + sqrt(170)) + sqrt(170) - (sqrt(170)*4*-5 + sqrt(170)))/(6*-3*sqrt(90)*3). -13*sqrt(17)/81 Simplify (-2 + 5*(sqrt(72) + -1*sqrt(72)) - (sqrt(98) + 0 + (-4*sqrt(2) - sqrt(2))*-6))**2. 148*sqrt(2) + 2742 Simplify (-1 + (-1*sqrt(891) + 3 - (-2*sqrt(891) + -3)) + (3 + -2 + sqrt(891) - sqrt(891))*3*-6)**2. -234*sqrt(11) + 1060 Simplify (-6*(sqrt(686) + (-1*sqrt(686) - sqrt(686) - sqrt(686)) - sqrt(896)*-1)/(sqrt(343) + sqrt(343) + -4*sqrt(343)*-2 + sqrt(343) + sqrt(343)) + 5)**2. 30*sqrt(2)/7 + 1243/49 Simplify (3*sqrt(252)*-2 - (sqrt(252) + -1*sqrt(252) + -2)) + (-5 + (1*sqrt(567))**2 + -5)*-5. -2783 - 36*sqrt(7) Simplify (3 + -1*(2*sqrt(468) + sqrt(468)))**2*6 - (4 + (0 + (sqrt(468) - (-1*sqrt(468) - sqrt(468))))**2 + 0). -648*sqrt(13) + 21110 Simplify -1 + (((2*sqrt(5200)*6 + sqrt(5200) + sqrt(5200) + sqrt(5200))*1)/(-4*-3*(sqrt(256) + (sqrt(256) - (sqrt(256) + sqrt(256) + 1*sqrt(256))))))**2. 7869/256 Simplify (sqrt(5184)*2*4)/(sqrt(12) - sqrt(36)/(sqrt(12)/sqrt(4)) - 1*sqrt(12)*1)*-1 + -1. -1 + 96*sqrt(3) Simplify (1 + -1 + (sqrt(11) - sqrt(396)*2)**2)*3 + ((sqrt(11) + sqrt(44)/sqrt(4)*4)**2 - sqrt(44)/(sqrt(4)*-3 + sqrt(4)))*-2. -sqrt(11) + 3443 Simplify 3*(2*sqrt(45)/(sqrt(81)/sqrt(9)) + ((-5*sqrt(750) + sqrt(30) - sqrt(30))/sqrt(6))**2). 6*sqrt(5) + 9375 Simplify ((3*sqrt(49)*-3 - 3*sqrt(2401))/((-3*sqrt(7) - sqrt(7))*-2 + sqrt(7) - 1*sqrt(7)*-2))**2. 6300/121 Simplify (-6*(4 + (-3 + sqrt(832))*1 - (1 + sqrt(832) + 2 + sqrt(832) - 2*1*sqrt(832))) + -1)**2. -1056*sqrt(13) + 30073 Simplify 2*(3*((sqrt(36) + (sqrt(36) - sqrt(144)/sqrt(16)))/(sqrt(48)/sqrt(4)*4) - (sqrt(3)*-1 + 2 - (sqrt(3) - (sqrt(9) + sqrt(9)*3)/sqrt(3)))))**2. 117*sqrt(3) + 6867/32 Simplify (3 + -1 + -2*sqrt(468) + sqrt(468) + -3*sqrt(468) + -2 + sqrt(468) + -5*((sqrt(468) - (sqrt(468) + -1)) + 3) + 3)**2. 612*sqrt(13) + 4501 Simplify ((1*sqrt(65) + sqrt(65))/sqrt(5) - ((sqrt(208)/sqrt(4) + sqrt(52))/sqrt(4))**2)*4 + (1 + sqrt(3328))*4. -204 + 72*sqrt(13) Simplify 6*(5 + 1*(5 + sqrt(17) + -1)*3*1). 18*sqrt(17) + 102 Simplify (4 + ((-2 + 0 + (sqrt(5) - (1 + sqrt(5))))*3 - ((sqrt(500) + -1 - sqrt(500))*-4 + -3)))**2. 36 Simplify (5 + -3 + (sqrt(300) + (sqrt(300) - sqrt(300)*2) - sqrt(12)/(sqrt(24)/sqrt(6))) + 2*(sqrt(363) + 1))**2. 168*sqrt(3) + 1339 Simplify 4*(3 + -1 + (-1*-1*sqrt(68))/(sqrt(8)/(sqrt(8)/sqrt(4))) + 1 + 0)**2. 24*sqrt(17) + 104 Simplify ((3 + 5 + -1*sqrt(396) + -2 + sqrt(396)*1 + 3)*-1*2)**2. 324 Simplify (-1 + (-1*sqrt(52)/sqrt(4))**2 + 3 - ((sqrt(208)*-2)/sqrt(4) + -1*(sqrt(156)/sqrt(3) + sqrt(52)) + sqrt(52))) + -5. 10 + 6*sqrt(13) Simplify -5*(2 + sqrt(1300) + (sqrt(1300) + 3 - sqrt(1300)) + -3 - ((-5 + sqrt(1872))**2 - (0 + sqrt(1573)))). -705
{ "pile_set_name": "DM Mathematics" }
True Is 402929167 a composite number? True Is 22826783033 a prime number? True Is 10693189919 composite? False Is 32779793 a prime number? True Is 18606671365 a prime number? False Is 2543589493 a prime number? False Is 65278075619 prime? True Is 19209641683 composite? False Is 3995178302 composite? True Is 1523754629 a prime number? False Is 2961773989 prime? True Is 4661205677 composite? False Is 758060839 a composite number? True Is 324068151371 a composite number? False Is 2890566149 a composite number? False Is 5712336703 composite? True Is 26312674523 composite? True Is 6982164139 composite? False Is 1542556651 composite? False Is 4528863007 a composite number? True Is 1959697793 a prime number? True Is 24453009827 composite? False Is 592919501 composite? True Is 1932982141 a composite number? True Is 17436343853 prime? False Is 4697510213 composite? True Is 3794599667 a composite number? False Is 1313053051 prime? True Is 1129249169 prime? True Is 59594252087 prime? True Is 7170694499 a prime number? True Is 196064161 a composite number? False Is 6035766827 a composite number? True Is 53382220219 composite? False Is 581957161 a prime number? False Is 118563407 composite? True Is 5271723767 a composite number? False Is 560641409 composite? False Is 32675674793 composite? False Is 641111089 a composite number? True Is 38372321257 a prime number? True Is 17512124789 a prime number? True Is 3682981067 composite? True Is 20490101521 prime? True Is 2089523981 composite? False Is 155198984351 a composite number? False Is 975528955 a prime number? False Is 501549913 prime? True Is 39063323509 a composite number? True Is 478268909 prime? True Is 47554007 prime? False Is 1408159579 prime? False Is 47602715581 a composite number? False Is 3787077269 composite? True Is 71749789 composite? True Is 8486609113 a composite number? True Is 919884547 a composite number? False Is 80479871 prime? False Is 3344122463 a composite number? True Is 3442897343 prime? False Is 4923032209 a composite number? True Is 1658392129 a prime number? True Is 594477450601 composite? False Is 267510977 a composite number? False Is 542341753 a composite number? True Is 2919162847 composite? False Is 12936878797 a composite number? False Is 12756810263 prime? True Is 6109417937 composite? True Is 3893331847 composite? True Is 1812312734 a composite number? True Is 14046183491 composite? False Is 1542523943 composite? False Is 37378263983 a prime number? True Is 305209 composite? False Is 6650190097 composite? False Is 5685748399 prime? False Is 182876733899 prime? False Is 3755379161 prime? False Is 51948817 a composite number? True Is 3157396103 composite? True Is 6166614334 composite? True Is 5683728301 a prime number? True Is 625539029 a composite number? True Is 81946056977 prime? True Is 3296858713 prime? True Is 714838223 a prime number? False Is 12763672345 a prime number? False Is 2518622461 a prime number? True Is 761567693 a composite number? True Is 59938028461 composite? False Is 553776693441 a composite number? True Is 98239605227 a composite number? False Is 49266248921 prime? False Is 16161737261 prime? False Is 158069623 composite? False Is 74689717811 prime? True Is 40766651 a composite number? False Is 13126205003 a composite number? True Is 7181196511 a composite number? True Is 90717218891 a prime number? False Is 16755900209 a prime number? True Is 65390153 a composite number? True Is 153855151 composite? True Is 13444974031 a composite number? True Is 1223480519 a prime number? True Is 1484447501 prime? False Is 9167541067 a prime number? False Is 201894491 prime? False Is 671798437 a composite number? True Is 238619653 a composite number? False Is 6948410011 composite? False Is 5820053179 a composite number? True Is 473535533 composite? True Is 28151873429 a prime number? True Is 25288762919 a composite number? True Is 458989367 a composite number? False Is 1724460293 prime? False Is 100092630479 prime? True Is 72486114541 a prime number? False Is 759983209 composite? True Is 2146072627 a composite number? False Is 1127850571 prime? False Is 329451924527 a prime number? False Is 980974409 a prime number? False Is 1454627191 a prime number? False Is 3740051261 a composite number? False Is 2289986051 a composite number? True Is 7559281307 prime? True Is 6406580941 prime? True Is 32885398811 a composite number? True Is 4919452211 a prime number? True Is 374721161 composite? False Is 3406181 a prime number? True Is 253632182 prime? False Is 725497987 a prime number? False Is 15603058939 composite? True Is 2792712809 prime? True Is 417295979303 a prime number? False Is 19668317269 composite? False Is 113395468343 composite? False Is 3078672997 a prime number? True Is 11705082861 prime? False Is 111038399 composite? False Is 9081844303 a prime number? False Is 19797679957 a composite number? True Is 6775115467 a prime number? True Is 1316225641 a prime number? False Is 37777927349 prime? True Is 504081119 composite? False Is 123139616933 a prime number? True Is 4180538837 prime? True Is 22939654499 a prime number? True Is 1828483039 a prime number? True Is 10821530485 composite? True Is 11241786481 a prime number? True Is 207760387 prime? True Is 13608930211 composite? False Is 1573447217 a prime number? True Is 4573580707 prime? True Is 14734105907 a prime number? True Is 18459477599 composite? True Is 2231350409 prime? True Is 868014347 composite? True Is 1302840829 a prime number? False Is 19316117413 a composite number? False Is 741918297 prime? False Is 26118377 a prime number? False Is 180780441409 composite? False Is 360297809 a composite number? True Is 17227470983 prime? True Is 261380569 composite? False Is 55343013161 prime? True Is 4536790127 prime? True Is 130523581 composite? True Is 409227059 composite? False Is 55485448927 prime? False Is 8412522609 composite? True Is 570291431 prime? True Is 1579468873 a prime number? False Is 34562277011 a composite number? False Is 336300557 a prime number? False Is 3093031042 a prime number? False Is 8284079093 a composite number? False Is 21497153971 a prime number? False Is 5495783621 a prime number? False Is 148652983 prime? False Is 25827250483 a composite number? True Is 239443231 a composite number? False Is 6311935807 prime? False Is 4630711199 a prime number? True Is 25801665887 a composite number? False Is 14335533767 a composite number? False Is 1789467437 composite? False Is 31972759633 a prime number? False Is 82784819393 a prime number? True Is 19804621 composite? True Is 4354976803 a prime number? True Is 2452834441 a prime number? False Is 17066716201 composite? True Is 8322884302 composite? True Is 166236515 prime? False Is 46691335417 a composite number? False Is 60363287681 a composite number? True Is 27856749793 a prime number? True Is 1806654887 a composite number? False Is 84323419 a prime number? False Is 1135931953 a composite number? True Is 27265954511 a prime number? True Is 791623747 a composite number? False Is 16188894745 a prime number? False Is 3385114183 a prime number? False Is 7005689533 composite? False Is 4739854831 prime? False Is 156539917139 a composite number? False Is 2568930239 prime? False Is 59194207 a prime number? True Is 2602437297 prime? False Is 101149783645 prime? False Is 1831736921 a prime number? False Is 18561913001 composite? False Is 10542179849 a composite number? True Is 1432311761 prime? False Is 2872095673 a prime number? True Is 141283976051 a prime number? True Is 415604087 prime? True Is 790144841 a composite number? True Is 464436903419 a composite number? False Is 157354963 prime? True Is 29957186309 a composite number? False Is 35531003327 composite? False Is 2389756841 a composite number? True Is 10597171121 a composite number? True Is 154644205943 prime? True Is 1452392849 a composite number? False Is 1652551777 prime? True Is 367953571 a prime number? True Is 540996293 prime? True Is 374430895 a prime number? False Is 1560655423 a prime number? True Is 1315047407 prime? False Is 644877743 a prime number? True Is 266576387885 a prime number? False Is 961969261 composite? True Is 2331584693 a prime number? False Is 4171957727 a composi
{ "pile_set_name": "DM Mathematics" }
et s be 1/7 - (-54)/14. Suppose -4*n = -s*g - 124, -n + 3*g = -5*n + 131. Is n a multiple of 16? True Let l(s) = s**3 - 9*s**2 - 9*s - 5. Let q be l(10). Suppose 96 = -x + q*x. Is 12 a factor of x? True Suppose 0 = -2*s + 134 - 38. Does 11 divide s? False Let w(q) = 11*q + 5. Let r be w(7). Let k = -58 + r. Is 12 a factor of k? True Let r be (-282)/10 - (-5)/25. Let g = r + 54. Is g a multiple of 13? True Suppose 90 = -4*l + 486. Is l a multiple of 32? False Let k(j) = 0*j + 3*j**2 - 4*j**2 + 0*j**2 - 2*j - 5*j**3. Does 12 divide k(-2)? False Let d = -54 + 89. Is d a multiple of 6? False Let g(i) = 415*i + 2. Is g(1) a multiple of 15? False Let l = -76 - -172. Is l a multiple of 20? False Let h(n) = 3*n - 7. Let j be h(4). Suppose -j*b + 0*w + 258 = 4*w, 4*b - 192 = 4*w. Is 10 a factor of b? True Let d(k) = k**2 - 4*k - 8. Let m be d(6). Suppose 0 = 4*v + 5*b + 6 + 4, -3*v + 2*b = -m. Let a = 3 + v. Is a a multiple of 2? False Let r(z) = z - 1 + 0*z + 2. Let y(m) = -m - 1. Let u(k) = -7*r(k) - 4*y(k). Is 5 a factor of u(-4)? False Suppose -7*m + 4*m = -309. Is 12 a factor of m? False Let a(y) = -2*y**3 - 4*y**2 - 2*y + 1. Let l = 0 - 2. Does 2 divide a(l)? False Let b = 25 - -20. Does 9 divide b? True Let t = 3 - 1. Let n = 4 - t. Suppose -f = -n*j - 0*f + 47, 5*j = -3*f + 101. Is 11 a factor of j? True Let b(p) = 22*p - 10. Does 8 divide b(3)? True Let q = -39 - 2. Let i = q + 59. Does 6 divide i? True Let c = -11 + 25. Let w = 22 - c. Is 4 a factor of w? True Let b = 28 + 47. Does 9 divide b? False Let w(f) = f - 3. Let g be w(10). Suppose 3*r = 2*r - 7. Let u = g - r. Is u a multiple of 14? True Let m be (207/(-9))/(2/(-6)). Let g = m - 40. Is 29 a factor of g? True Let y = -3 + 5. Let b be (7/7)/(1/3). Suppose y*q + b = -0*x + x, -q - 6 = -2*x. Is 2 a factor of x? False Let d(k) = -11*k**3 - 2*k**2 + 2*k + 1. Let c be d(-2). Let p = c - 53. Does 9 divide p? False Suppose -3*h + 3*q = -h - 2, -3*h + 5*q = -1. Let c(f) = f**3 - 8*f**2 + 7*f + 9. Let a be c(h). Suppose -119 - a = -4*l. Is 13 a factor of l? False Let b(r) = r - 3. Let a be b(5). Suppose 2*x + a*x + 452 = 0. Let j = x + 161. Does 21 divide j? False Suppose 0 = -4*x + 2*h - 2 - 0, 0 = x + h - 4. Let a be (x/2)/(3/(-102)). Is 1 + -1 - (a - -1) a multiple of 16? True Suppose 3*l - 25 = -4*j, 5*j - 2*j = -l + 15. Suppose -l*w + 8 = -w. Suppose w*y - 10 - 30 = 0. Is 10 a factor of y? True Is 11 a factor of 1/(-1*(-2)/22)? True Let a(q) = -q**2 + 9*q + 1. Let x be a(5). Let s = 3 + x. Does 9 divide s? False Let r(j) = -j**3 - j + 2. Let u be r(2). Does 11 divide (-138)/(-8) - (-2)/u? False Let o(j) = 16*j**3 + 2*j**2 - 1. Let r be o(1). Suppose r = 4*q - 3. Does 5 divide q? True Let c(o) = o**2 + 5*o. Let z be 106/(-22) - 4/22. Let i be c(z). Is 5 a factor of (4/6 - i)*15? True Let i be -3 + 4 + 2/(-1). Let q(b) = 15*b + 7. Let z(y) = 46*y + 20. Let n(m) = 17*q(m) - 6*z(m). Is 10 a factor of n(i)? True Suppose -4*z - 152 = -4*y, -73 = -2*y + 2*z + z. Does 8 divide y? False Suppose l + 0*r + r = 23, 0 = l + 5*r - 35. Suppose j - l = -3*j. Does 5 divide j? True Let g = -12 - -9. Let q = 33 - g. Does 18 divide q? True Let c be 3*(-4)/6*1. Let b be 0 + (c - 9/(-3)). Is 29 + b + 1 + 0 a multiple of 14? False Let q = 3 - -37. Is 16 a factor of q? False Let r = 56 + -17. Is 11 a factor of (0 + r/(-5))*-5? False Suppose 5*k + 0 - 15 = 0. Let t = 4 - k. Does 12 divide (-2 - t) + 2 + 47? False Let a(g) = -g**3 + 4*g**2 - 3*g + 2. Let j(t) = -t**2 + 7*t - 7. Let i be j(5). Let w be a(i). Is (16/(-10))/(w/(-15)) a multiple of 4? True Let p be (-88)/(-14) - (-4)/(-14). Suppose 0 = -l - 6 + 22. Suppose -t + l = -p. Does 11 divide t? True Let i = -1 - -4. Suppose 12 = 5*d - i, 3*d - 489 = -5*k. Let x = -66 + k. Is 11 a factor of x? False Let x(m) = 15*m + 3. Does 13 divide x(3)? False Let d(n) be the second derivative of n**4/12 - n**3/2 - 2*n**2 + 2*n. Does 6 divide d(-3)? False Let b be (-2)/(-8)*-2*0. Suppose 0 = 3*k - b*k - 24. Suppose 2*t = -2*w + 4 + 14, -4*t = -k. Does 7 divide w? True Let z(g) = -5*g - 14. Suppose -d - 4*a + 4 = -3*d, -5*d - 38 = 4*a. Does 16 divide z(d)? True Suppose 5*w - 97 = 23. Is w a multiple of 12? True Let d = 26 + 2. Is d a multiple of 14? True Let m(x) = -x**3 - 7*x**2 - 10*x - 9. Suppose 5*t = 2*t - 18. Let v be m(t). Let n = v + -1. Does 14 divide n? True Suppose p = -h + 12, -5*h + 3*p - 19 = -79. Let a = 5 + h. Let t = a + -8. Is t a multiple of 9? True Let g(w) = w**3 + 25*w**2 + 21*w + 48. Is 24 a factor of g(-24)? True Let k(i) = 2*i + 6. Suppose -2*p - 14 = -0*p. Let d be (4 - p) + -1*1. Does 11 divide k(d)? False Suppose 40 = -4*r - 180. Let z = r + 91. Is 12 a factor of z? True Suppose -5*p + 12 = 2. Suppose -y + 24 = -0*y - p*q, -5*y + 64 = 4*q. Is y a multiple of 12? False Let o(z) = 29*z + 2. Let d be o(6). Suppose -2*s - 100 = -2*p, d = 5*p - p + 4*s. Suppose -v = -2*q - p, v + q = -2*q + 42. Does 15 divide v? True Suppose 5*n - 2*b - 7 = 0, 0 = -5*n + 2*n - 4*b + 25. Suppose -c = 4*s - 47, -c = n*s - 2*s - 14. Does 7 divide s? False Let t(o) = -o + 7. Let m be t(5). Suppose -3*h = -m*u + u - 11, -5*h + u + 15 = 0. Suppose -h*s + 12 = -94. Is s a multiple of 20? False Suppose -9*q + 5*q = -80. Is q a multiple of 5? True Suppose -2*j - 226 - 34 = -2*d, 0 = -d - 5*j + 142. Is d a multiple of 12? True Suppose 4*p + 4*v - 64 = 0, 4*p - 16 = p + 5*v. Suppose -2*a - 5*i = 52, -40 = 4*a - 3*i + 38. Is (a/9)/((-2)/p) a multiple of 6? False Let r = -100 + 232. Let b = -1 - -8. Suppose 5*u - r = -b. Is 13 a factor of u? False Let o be (49/2)/7*2. Is ((-22)/(-3))/(o/21) a multiple of 21? False Is (-36)/84 + (-73)/(-7) a multiple of 4? False Let v(z) = -48*z**3. Let x be v(-1). Suppose 0 = -6*h + 3*h + x. Is 8 a factor of h? True Let v = 14 - -10. Is v a multiple of 6? True Suppose 2*a = -a + 81. Is a a multiple of 7? False Let l(h) = 24*h**2 + h + 1. Is l(-1) a multiple of 12? True Let v(o) = 2*o**2 + 3*o + 3 - 8 + 2*o**2 - 3*o**2. Does 10 divide v(5)? False Let t be -1*3*(6 + -7). Let s(d) = -2*d**3 + 3*d**2 - 6*d - 8. Let l(r) = -r**3 + 2*r**2 - 3*r - 4. Let b(q) = t*s(q) - 5*l(q). Does 13 divide b(-3)? False Is 15 a factor of (-990)/12*(3 - (-2 - -7))? True Let i be (-6)/(-27) - (-1024)/9. Suppose -2*q - 66 = -2*n - 4*q, 2*q + i = 3*n. Let k = -15 + n. Is 11 a factor of k? False Suppose -3*u = -4*u - 78. Let l be 12/u - (-1226)/26. Suppose 2*n - l = -3. Does 11 divide n? True Is 1/((-4)/6 - 155/(-225)) a multiple of 15? True Let q(f) = f**3 + 10*f**2 + f + 14. Let h be q(-10). Suppose h*c - 36 = -m, -c + 4*m + 6 = -2*c. Does 5 divide c? True Suppose 0*v = -2*v + 4. Suppose -v*g + 2 = -g. Suppose 6*l = g*l + 24. Is l a multiple of 6? True Suppose 3*h = -2*h + 160. Suppose h - 2 = 3*m. Suppose 3*r = -5*b + 3*b + 82, -5*b = -m. Does 13 divide r? True Suppose 0 = -2*z + 82 + 58. Does 10 divide z? True Suppose -2*p + 7 = -11. Suppose 2*y = -3*y + 35. Let g = p + y. Is g a multiple of 6? False Let z be (-6)/3 - (1 - 5). Suppose -4*p + 16 = -5*u, 0 = 3*p - z*u - 21 + 2. Is p a multiple of 9? True Let v be 1*(-1)/(-2)*-10. Is 7*v*6/(-5) a multiple of 24? False Let z(w) = w**2 - 7*w + 3. Let h(o) = o**2 + 2*o - 7. Let x be h(-5). Let i = 0 + x. Does 4 divide z(i)? False Let s(g) = g**2 + 7*g + 9. Is 7 a factor of s(-8)? False Let k(t) = -t + 5. Let q be k(3). Is 15 a factor of q/(1/(15/2))? True Is -61*(-1)/(5/10) a multiple of 24? False Let h = -7 - -11. Suppose -3*b + 2*x = -28, -1 = -5*b - 5*x + h. Is 2 a factor of b? True Suppose -2*w - 58 = -226. Suppose 5*r - w = 86. Does 12 divide r? False Let z be (-25)/(-10)*(-12)/(-10). Suppose -2*k = -0*p - p + 10, 6 = -z*k - 3*p. Is 8 a factor of 2/(-8) - 45/k? False Suppose 3*m - 5*m = -2. Suppose m = -3*q + 19. Is 3 a factor of q? True Let d be 12/15*10/4. Suppose -5*x - j = -2, -3*x + d = -8*x + j. Suppose -2*m = -x*m - 88. Does 22 divide m? True Suppose -3*k - 19 = -79. Let j = 35 - k. Is j a multiple of 9? False Let u(r) = r + 21. Let i be u(0). Suppose -2*v + 4*z + i = 3*v, 0 = -2*v + 4*z + 18. Suppose 3*h = n + v, -4*n = 3*h + 2*h - 30. Is n a multiple of 3? False Let j(m) = -31*m + 6. Let t be j(-3). Suppose 2*h = 7 + t. Does 14 divide h? False Suppose 2 - 72 = -5*g. Is 7 a factor of g? True Let q = 11 - 12.
{ "pile_set_name": "DM Mathematics" }
- 7/12*m**4. What is the third derivative of g(c) wrt c? 42 Find the third derivative of 5*m**2 - 26*m**4 + 7*m**2 - 4*m**2 + m**2 wrt m. -624*m Let z(r) be the first derivative of 3*r**6/2 + 2*r**3/3 - 5. Find the third derivative of z(c) wrt c. 540*c**2 Let q be (1/(-3))/(1/(-9)). Suppose 2*h + 4*v = -4 + 12, 0 = -q*v. Find the second derivative of 4 - h - 3*s**3 - 4*s + 7*s wrt s. -18*s Let d(k) be the second derivative of 0*k**5 + 0*k**6 + 0*k**2 - 2*k + 0 + 1/6*k**4 + 0*k**3 + 1/42*k**7. Find the third derivative of d(l) wrt l. 60*l**2 Let q(v) = 16*v**3 - 32*v**2 + 10. Let a(n) = n**3 - n**2 + 1. Let j(c) = -10*a(c) + q(c). What is the third derivative of j(d) wrt d? 36 Let o(f) = 6*f**2 - 5*f - 6. Let d(g) = g**2 - g. Let y(v) = 5*d(v) - o(v). What is the first derivative of y(n) wrt n? -2*n Let m(q) = 42*q**2 - 6*q. Let i(y) = -85*y**2 + 13*y + 1. Let f(p) = 6*i(p) + 13*m(p). Differentiate f(g) with respect to g. 72*g Let u = -23/3 + 25/3. Let y(g) be the first derivative of 2 + u*g**3 + 0*g**2 + 0*g - 1/5*g**5 + 0*g**4. Find the third derivative of y(d) wrt d. -24*d Let k(j) = j**3 + 3*j**2 + j + 3. Let a be k(-3). Suppose a = -2*w + 1 + 3. What is the third derivative of 4*r - r**2 - 4*r + w*r**5 + 2*r**2 wrt r? 120*r**2 Let g(q) = -q**2 - 6*q - 2. Let s be g(-5). Suppose 5*y + 19 = -3*p, -s*p - 5*y = -y + 14. What is the third derivative of -2*u**2 + p*u**6 - 2*u + 2*u wrt u? 240*u**3 Let r = 15 - 15. Let c(z) be the first derivative of 0*z**4 + 0*z + 1/5*z**5 - 1/3*z**3 + r*z**2 + 2. Find the third derivative of c(o) wrt o. 24*o Let s = -5 - -8. What is the derivative of -5*t - 4*t + 5*t + s*t - 3 wrt t? -1 Let y(n) be the first derivative of 0*n + 0*n**2 - 2/5*n**5 + 0*n**4 - 4 + 4/3*n**3. What is the third derivative of y(b) wrt b? -48*b Let s be (2/5)/((-4)/(-60)). What is the second derivative of -3*k - 3*k - s*k**4 - k wrt k? -72*k**2 Suppose 4*x = -x. Suppose x = -k + 3 - 1. Find the second derivative of -4*r - 7*r**k + 7*r**2 + 2*r**3 wrt r. 12*r What is the first derivative of -4 + 2 - 2 + n**3 wrt n? 3*n**2 What is the second derivative of t**4 - 4*t - 4*t**4 + 3*t wrt t? -36*t**2 Let h(l) = 8*l**5 - 3*l**3 + 3*l**2 - 16*l + 3. Let d(r) = r**5 + r**3 - r**2 - r - 1. Let b(c) = -3*d(c) - h(c). What is the second derivative of b(t) wrt t? -220*t**3 Let j = 6 - 2. Let f(c) = -c**2 + 5*c - 3. Let q be f(3). Find the third derivative of -w**5 + 3*w**3 - j*w**2 - q*w**3 wrt w. -60*w**2 Let k(r) be the second derivative of -7*r**5/10 - r**4/12 - 22*r. Find the third derivative of k(h) wrt h. -84 Let d(i) = -3*i**2. Let b be d(-1). Let x be b/9 + 57/9. Differentiate 3*g**4 - 1 + 6*g - x*g with respect to g. 12*g**3 Let l(b) be the third derivative of b**6/10 - 17*b**3/6 - 5*b**2. Differentiate l(s) with respect to s. 36*s**2 Let g(y) = -y + 7. Let h be g(5). Find the second derivative of -d**2 + 0*d + d**4 + d**h - d wrt d. 12*d**2 Let v be (1/(-6))/((-7)/42). What is the second derivative of -v - 2*l**5 + 7*l**5 + 4*l + 1 wrt l? 100*l**3 Let b(g) = 15*g**3 + 8*g**2 - 26. Let l(x) = 5*x**3 + 3*x**2 - 9. Let n(o) = 3*b(o) - 8*l(o). Find the first derivative of n(v) wrt v. 15*v**2 Let x(s) be the first derivative of 11*s**2 - 44*s - 18. Find the first derivative of x(r) wrt r. 22 Let k(z) = 34*z**2 - 19. Let w(m) = m**2 + 1. Let o(q) = k(q) + 5*w(q). Find the first derivative of o(g) wrt g. 78*g Suppose -2*y - 1 = -13. Suppose 0 = -3*z + 15 - y. What is the first derivative of 0 + 0*p**z - 2 + p**3 wrt p? 3*p**2 Suppose 0 = -t - 2*t + 12. Find the second derivative of 2*u - u + t*u - 2*u**4 - 2*u wrt u. -24*u**2 Let b be 2 + (2 + 0 - -1). What is the third derivative of -4*h**b + 0*h**3 + 0*h**3 + 5*h**2 + 7*h**5 wrt h? 180*h**2 Let z(t) be the third derivative of -t**5/12 + 31*t**3/6 - 6*t**2. What is the first derivative of z(y) wrt y? -10*y Let d(g) be the first derivative of -g**6/30 - 5*g**4/12 + 9*g**2/2 - 6. Let a(u) be the second derivative of d(u). What is the second derivative of a(t) wrt t? -24*t Let a(j) be the second derivative of -3*j**5/20 - j**4/3 - 9*j. What is the third derivative of a(f) wrt f? -18 What is the third derivative of 7*k**2 - 27*k**4 + 16*k**2 + k**2 + 3*k**4 wrt k? -576*k Let m = -1 + 2. Let c be (m/1)/1 - -2. Find the second derivative of -4*n**3 + 2*n**c - 4*n + 2*n wrt n. -12*n Let z(d) = -d**2 + d + 1. Let p(c) = 9*c**5 + 18*c**2 - 12*c - 12. Let f(v) = -p(v) - 12*z(v). What is the third derivative of f(u) wrt u? -540*u**2 Let j(a) be the second derivative of 0*a**2 - 4*a + 0 + 1/3*a**3 + 1/6*a**4. Find the second derivative of j(s) wrt s. 4 Let w(m) be the third derivative of -41*m**5/60 + 19*m**4/24 + m**3/6 - 24*m**2. Find the second derivative of w(h) wrt h. -82 Suppose -4*h + 10 = -v, -v - 7 = -h - 2*h. Differentiate 1 - 2*t**h + 0 + 4*t**3 with respect to t. 6*t**2 Let q(x) = -x + 1. Let i(r) = -r**3 - 3*r + 5. Let u(b) = i(b) - 5*q(b). Find the second derivative of u(l) wrt l. -6*l Let b(c) = -c**4 + 1. Let h(z) = -8*z**4 + 6*z**2 + 6. Let o(y) = -6*b(y) + h(y). Find the third derivative of o(v) wrt v. -48*v Suppose 0 = q - 1 - 1. What is the second derivative of 10*i**4 - i - q*i - 12*i**4 wrt i? -24*i**2 Let j(i) = -i**3 + 3*i**2 + 6*i - 4. Let b be j(4). Let x(h) = -11*h - 3. Let f(n) = 6*n + 2. Let w(y) = b*x(y) + 7*f(y). What is the derivative of w(c) wrt c? -2 Let a(h) be the first derivative of -46*h**5/5 - h**2 - 3*h - 52. What is the second derivative of a(f) wrt f? -552*f**2 Let p(z) be the third derivative of -z**6/360 - z**5/120 - z**4/6 + 2*z**2. Let f(q) be the second derivative of p(q). Differentiate f(n) with respect to n. -2 Find the first derivative of 11 + 20*d + 2*d + 21*d - 14*d wrt d. 29 Let k be 21/5 + (-2)/10. Suppose 5*j - k = 16. What is the derivative of 5*m**4 + 2*m**4 + 4 + 0*m**j - 5*m**4 wrt m? 8*m**3 Let h(z) be the third derivative of 19*z**8/336 - 11*z**5/60 - 3*z**2. What is the third derivative of h(y) wrt y? 1140*y**2 Let c(g) be the second derivative of g**6/60 - g**3/3 + 3*g**2/2 + g. Let f(s) be the first derivative of c(s). What is the derivative of f(t) wrt t? 6*t**2 Let p = 15 - 11. Suppose d = b - 2, -4*d - b - p = -21. Find the third derivative of -d*g**5 + 2*g**2 + 4*g**5 - 3*g**2 wrt g. 60*g**2 Let d(u) be the second derivative of -u**8/28 - 3*u**4/4 - 5*u. Find the third derivative of d(t) wrt t. -240*t**3 Find the third derivative of 0*a**6 - 155*a**5 - 11*a**2 + 155*a**5 + 2*a**6 wrt a. 240*a**3 Let a be 59/6 - 3/(-18). Let k = 12 - a. Differentiate r**2 - 5*r**2 - k - 2 wrt r. -8*r Let p(y) = y**3 + 2*y**2 - y. Let b be p(-2). Find the third derivative of 3*o**3 - 2*o - 2*o**b + 5*o - 3*o wrt o. 18 Let b(m) = 4*m**2 - 3*m + 10. Let g(q) = 4*q**2 - 4*q + 11. Let a(t) = 4*b(t) - 3*g(t). Find the first derivative of a(o) wrt o. 8*o What is the third derivative of 11*a**2 - 11*a**3 - 20*a**2 + 15*a**2 wrt a? -66 Let g(l) = -20*l**2 - 7*l. Let q(x) = -30*x**2 - 11*x. Let s(h) = -8*g(h) + 5*q(h). What is the second derivative of s(a) wrt a? 20 Let d = 55 - 30. Find the third derivative of -25*b**3 + d*b**3 - 3*b**2 - 4*b**6 wrt b. -480*b**3 Find the third derivative of 9*a**3 + 38*a**3 - 1 + 2*a**2 + 9*a**2 - 3*a**2 wrt a. 282 Find the first derivative of -24 - 2*a**2 + a**2 + a**2 + 2*a**2 wrt a. 4*a Suppose 0 = 3*x - 0 - 6. Suppose -4*m + 13 = 3*h, -3*h - x*h = 5*m - 15. What is the derivative of -v - 4 - m + 6 wrt v? -1 What is the third derivative of 7*a**2 - 23*a**6 - a**2 + 32*a**6 wrt a? 1080*a**3 Let m(r) be the second derivative of -5/12*r**4 - 3/2*r**2 + 0 + 0*r**3 + 6*r. Find the first derivative of m(q) wrt q. -10*q Let l(v) be the first derivative of 7*v**5/5 - v**2/2 - 6. Find the second derivative of l(f) wrt f. 84*f**2 Let x(g) be the second derivative of 0*g**4 + 1/20*g**5 + 0*g**3 + 0 - 3*g - 3/2*g**2. Differentiate x(t) wrt t. 3*t**2 Let z be (4/(-6))/((-3)/9). Let k = z + 0. Find the third derivative of -4*l**2 - 4 + 2*l**6 + 2*l**k + 4 wrt l. 240*l**3 Find the second derivative of 39*g**5 - 48*g**5 - 3*g + 2*g wrt g. -180*g**3 Let d(p) be the third derivative of -1/12*p**4 + 0 + 2*p**2 - 1/20*p**5 + 0*p + 0*p**3. Find the second derivative of d(b) wrt b. -6 Suppose 5*r = -2*b, -3*b - 2*r = r - 9. Find the second deriva
{ "pile_set_name": "DM Mathematics" }
qrt(704))**2 - sqrt(704)). -8*sqrt(11) + 484 Simplify ((-3 + -2*sqrt(11))*5 + -4 + -1)**2. 400*sqrt(11) + 1500 Simplify -1*(sqrt(972)*5)**2. -24300 Simplify (5*(sqrt(39)/sqrt(3) - sqrt(13))*-2)**2. 0 Simplify (3 + -2 + 2*sqrt(128))**2. 32*sqrt(2) + 513 Simplify 1*sqrt(180) - (sqrt(100)/(sqrt(5) - sqrt(45)))**2. -5 + 6*sqrt(5) Simplify (sqrt(513)*4)/(sqrt(3) - 6*sqrt(48)). -12*sqrt(19)/23 Simplify (sqrt(1053) + 1*(sqrt(1053) - (sqrt(1053) + 0)))**2 + sqrt(1053)*-2*-1 + 5. 18*sqrt(13) + 1058 Simplify 3 + (-4*sqrt(153) - sqrt(17)). -13*sqrt(17) + 3 Simplify (-4 + sqrt(833))*-5 + -4. -35*sqrt(17) + 16 Simplify sqrt(396) + (5*sqrt(396)*-4)**2. 6*sqrt(11) + 158400 Simplify sqrt(28)*-1 + sqrt(42)/(sqrt(6) - sqrt(150)) + sqrt(7). -5*sqrt(7)/4 Simplify sqrt(34)/(5*sqrt(10)/sqrt(5) - sqrt(2)). sqrt(17)/4 Simplify 5*(-1 + sqrt(7))*3. -15 + 15*sqrt(7) Simplify (-1*sqrt(54)/sqrt(3))/(-3*sqrt(6)*-1). -sqrt(3)/3 Simplify -1 + sqrt(5) + (sqrt(5) - (sqrt(5) + 1)) + -3. -5 + sqrt(5) Simplify 3 + sqrt(56)/sqrt(2). 3 + 2*sqrt(7) Simplify -4 + (5 + 1*sqrt(11) - sqrt(11))**2 + ((sqrt(99) - (sqrt(99) + 1))**2 - sqrt(11) - sqrt(11)) + 1. -2*sqrt(11) + 23 Simplify -6*(-4*sqrt(512))/sqrt(4). 192*sqrt(2) Simplify (2*sqrt(2673) - sqrt(2673))/(sqrt(22)/sqrt(2)*-1). -9*sqrt(3) Simplify sqrt(475) + -1 + 2*(0 + sqrt(19)). -1 + 7*sqrt(19) Simplify (sqrt(288)/(sqrt(32)/sqrt(4)))/(1*sqrt(12)*-5). -sqrt(3)/5 Simplify (-2 + (sqrt(432) - (sqrt(432)*2 - sqrt(432)))**2*-3)*6. -12 Simplify ((sqrt(396)*2)/sqrt(4))**2*6. 2376 Simplify sqrt(91)/(sqrt(7)*1) - -1*sqrt(468). 7*sqrt(13) Simplify sqrt(152)/(sqrt(200)*3). sqrt(19)/15 Simplify (6*(sqrt(28) + 1*sqrt(1008)))**2. 49392 Simplify -4 + (-5*(sqrt(11) + 2 + -2))**2. 271 Simplify -4*(sqrt(175) + 3*2*sqrt(175)). -140*sqrt(7) Simplify sqrt(42)/((sqrt(60) - sqrt(960))/sqrt(10)). -sqrt(7)/3 Simplify -3 + (sqrt(8) + sqrt(64)/(sqrt(8) + sqrt(56)/sqrt(7)))/sqrt(4). -3 + 3*sqrt(2)/2 Simplify (1 + sqrt(75) + sqrt(75) - sqrt(75))**2 + (sqrt(3) - (sqrt(48) - sqrt(3))**2*1). 11*sqrt(3) + 49 Simplify (sqrt(27) + -1*sqrt(972))/(-1*sqrt(441)). 5*sqrt(3)/7 Simplify 5*(((sqrt(13) + -1 - sqrt(13))*5)**2 + 2). 135 Simplify 1*(sqrt(108)*-5*1)**2. 2700 Simplify -4*(sqrt(2) - (sqrt(2) + (sqrt(12) + sqrt(72)/sqrt(6))/sqrt(6)) - (-1*sqrt(288))**2). 8*sqrt(2) + 1152 Simplify -1*sqrt(68)/(sqrt(4) - (sqrt(4) + sqrt(4)*-2)*-6)*1. sqrt(17)/5 Simplify (3 + 6*(0 + sqrt(175) - sqrt(175)))**2. 9 Simplify (1 + sqrt(153) + -4)*-1. -3*sqrt(17) + 3 Simplify (sqrt(55)/sqrt(704) - -2*sqrt(5)*-5)**2. 31205/64 Simplify -4 + sqrt(17)*-1 + sqrt(153)/sqrt(81). -4 - 2*sqrt(17)/3 Simplify -5 + (sqrt(891)*-2)**2*-5. -17825 Simplify (-4*(sqrt(119) + (sqrt(119) - (sqrt(119)*-2 + sqrt(119)))))/(4*sqrt(112) - sqrt(7)). -4*sqrt(17)/5 Simplify -2 + (1*sqrt(18))**2. 16 Simplify sqrt(11) + (sqrt(77)*2)/sqrt(7) + -3. -3 + 3*sqrt(11) Simplify -6*((sqrt(20))**2 + 0) + 1. -119 Simplify ((sqrt(1539) - (1 + sqrt(1539) + -2)) + sqrt(1539) + 4*-3*sqrt(1539))**2. -198*sqrt(19) + 186220 Simplify ((2*sqrt(208))**2 + sqrt(208))*6 + 4. 24*sqrt(13) + 4996 Simplify (sqrt(2430) + (sqrt(2430) + sqrt(2430)*1 + sqrt(2430) - sqrt(2430)))/sqrt(10). 27*sqrt(3) Simplify (-4 + (sqrt(1053) + 0)*2)**2. -144*sqrt(13) + 4228 Simplify 3 + (sqrt(567) - sqrt(567)*2 - sqrt(567) - ((sqrt(7)*-1 - sqrt(7)) + -1)). -16*sqrt(7) + 4 Simplify (5*(1 + sqrt(2299)) - (-5 + 0 + sqrt(2299) - sqrt(2299))) + 3. 13 + 55*sqrt(19) Simplify 3 + -6*sqrt(22)/(sqrt(4)/sqrt(2))*-5. 3 + 30*sqrt(11) Simplify -2 + (sqrt(19) - (2 + sqrt(19))**2)*2. -48 - 6*sqrt(19) Simplify 5*(1 + sqrt(3)) + (sqrt(3) - (-5 + sqrt(12)/sqrt(4) + sqrt(3))). 4*sqrt(3) + 10 Simplify 4 + 5 + 1*sqrt(52). 2*sqrt(13) + 9 Simplify sqrt(60)/(sqrt(24)/sqrt(2)) + ((sqrt(5) + -1)*-6 + sqrt(5))**2 + sqrt(5) + 2. -58*sqrt(5) + 163 Simplify (((sqrt(171) - (sqrt(171) - 1*sqrt(171)*-3)) + sqrt(171) - sqrt(171)) + sqrt(171))/sqrt(9)*4. -8*sqrt(19) Simplify (sqrt(2736)*-1)**2 - (sqrt(19) + (sqrt(304) + 1)**2). -9*sqrt(19) + 2431 Simplify (-3 + sqrt(2057) + 1 - (-1*sqrt(2057) + sqrt(2057) + -4))**2. 44*sqrt(17) + 2061 Simplify (sqrt(50)/(sqrt(40)/sqrt(4)))**2 + -4. 1 Simplify ((-1*sqrt(171) + sqrt(171) - sqrt(171))*1 - sqrt(171))/(sqrt(9)*1*2). -sqrt(19) Simplify 2 + (sqrt(7)*-2)**2*-4 + -1. -111 Simplify sqrt(88)/(-2*sqrt(392) - sqrt(392)). -sqrt(11)/21 Simplify ((-2*(sqrt(114) + (sqrt(114) - sqrt(114)*2 - sqrt(114)) + sqrt(114) + sqrt(114) + sqrt(114)) + sqrt(114) - sqrt(114))/((-1*sqrt(72))/sqrt(12)))**2. 304 Simplify -5*(-3 + -2 + sqrt(48))**2. -365 + 200*sqrt(3) Simplify sqrt(119)/(-2*sqrt(567)). -sqrt(17)/18 Simplify (sqrt(125) - (sqrt(125) + (sqrt(125) - (2*sqrt(125) - sqrt(125))**2) + 5))*1. -5*sqrt(5) + 120 Simplify 2 + (-1*sqrt(432))**2 + 0. 434 Simplify (sqrt(3) - sqrt(9)/(sqrt(3) + sqrt(12)/sqrt(4)))*-5. -5*sqrt(3)/2 Simplify (-4 + -1 + 1 + (sqrt(637) + 1 + sqrt(637) + sqrt(637) - sqrt(637)))**2. -84*sqrt(13) + 2557 Simplify (-2 + 2*(sqrt(720) + 3))**2. 192*sqrt(5) + 2896 Simplify (-1 + (sqrt(7) - 1*sqrt(112)) + -1)**2. 12*sqrt(7) + 67 Simplify (sqrt(11) + -1)*4 - ((1*sqrt(99) + sqrt(99))/sqrt(9))**2. -48 + 4*sqrt(11) Simplify ((sqrt(180) - (sqrt(180) - (1 + sqrt(180)))*-3)**2 - -2*sqrt(180)*-6) + 1. -108*sqrt(5) + 190 Simplify (sqrt(3) - (-3 + sqrt(3) + sqrt(3) + 2)**2 - sqrt(3))*-4. -16*sqrt(3) + 52 Simplify 2*-4*sqrt(76)*5. -80*sqrt(19) Simplify (-1*sqrt(75) - (-1 + sqrt(3) + 5))**2. 48*sqrt(3) + 124 Simplify -2 + 4 + sqrt(1216). 2 + 8*sqrt(19) Simplify sqrt(567) - (1 + sqrt(567) + 1) - sqrt(567). -9*sqrt(7) - 2 Simplify (sqrt(117)/(sqrt(9)*2 + sqrt(9) + sqrt(9)))**2 + -4. -51/16 Simplify (sqrt(63)/(sqrt(7) + sqrt(49)/sqrt(7)) + sqrt(9))/sqrt(3). 3*sqrt(3)/2 Simplify (-5 + (-6*(sqrt(605) + 1 + sqrt(605)) - sqrt(605))*5)**2. 50050*sqrt(5) + 2557350 Simplify (-1*sqrt(175) - 3*sqrt(7)*1)**2. 448 Simplify (0 + (sqrt(19) + sqrt(19) + -1 + sqrt(19) + -2)**2)*-5. -900 + 90*sqrt(19) Simplify (3*(sqrt(539) + 2)*3 + 3)**2. 2646*sqrt(11) + 44100 Simplify (3*(sqrt(2299) + 1))**2 - sqrt(2299). 187*sqrt(19) + 20700 Simplify ((sqrt(2448) + 2*sqrt(2448))*5 + 3)**2*5. 5400*sqrt(17) + 2754045 Simplify sqrt(1872) + 1 - (sqrt(13) - sqrt(143)/sqrt(396)). 1 + 67*sqrt(13)/6 Simplify 5*sqrt(162)*1. 45*sqrt(2) Simplify (sqrt(175) - -3*-1*sqrt(175))*-1. 10*sqrt(7) Simplify sqrt(19)*4*1 + sqrt(228)/(sqrt(24)/sqrt(2)). 5*sqrt(19) Simplify ((sqrt(84)/(sqrt(6)*-2 - sqrt(6)))/(sqrt(14)/sqrt(2)*-5))**2. 2/225 Simplify 5*(4 + -1*sqrt(17)). -5*sqrt(17) + 20 Simplify 6*(sqrt(5) - (sqrt(5) + sqrt(320))) - 4*((sqrt(10)/sqrt(2))**2 + sqrt(5)). -52*sqrt(5) - 20 Simplify (-4*(sqrt(112) + -1))**2 + -1 + sqrt(28) + 2. -126*sqrt(7) + 1809 Simplify sqrt(171) + 2 - sqrt(19) - (sqrt(76) + sqrt(76)*-1). 2 + 2*sqrt(19) Simplify -5*(sqrt(52)/sqrt(4) - sqrt(13))*4*-6. 0 Simplify (-1*sqrt(171) + sqrt(38)/(sqrt(8) - sqrt(2)))*-1. 2*sqrt(19) Simplify (-6*(sqrt(42)/sqrt(3) + sqrt(14)))/sqrt(2). -12*sqrt(7) Simplify 3 + 1*sqrt(19)*-3 + 3*sqrt(76)/sqrt(4). 3 Simplify 3*(1*sqrt(19))**2 + (sqrt(76) + -1 + sqrt(76))**2. -8*sqrt(19) + 362 Simplify (-5 + sqrt(1216)*2)**2 - (-1 + -1 + sqrt(1216)). -168*sqrt(19) + 4891 Simplify 2 + sqrt(175) + -5. -3 + 5*sqrt(7) Simplify 5 + 3*sqrt(114)/(sqrt(48)/sqrt(2) + sqrt(24)). 3*sqrt(19)/4 + 5 Simplify -1*sqrt(8) - -2*sqrt(162). 16*sqrt(2) Simplify (((-2*sqrt(187))/sqrt(11) + sqrt(17) + sqrt(34)/sqrt(2)*-6)*-6)**2. 29988 Simplify 3*sqrt(112) - (sqrt(14)*1)/sqrt(2). 11*sqrt(7) Simplify (sqrt(22)/(sqrt(6)/sqrt(3)) - (1 + sqrt(44)))**2. 2*sqrt(11) + 12 Simplify -3 + sqrt(152)/(1*sqrt(8)) + -1. -4 + sqrt(19) Simplify (6*(sqrt(1584) - (sqrt(1584) + 1) - sqrt(1584)))**2 - (6*(sqrt(1584) - sqrt(1584)*2 - sqrt(1584)))**2. -171036 + 864*sqrt(11) Simplify sqrt(45)/((sqrt(9)*2 - sqrt(9))*-6). -sqrt(5)/6 Simplify -5 + (sqrt(57)/sqrt(3)*-2)**2 + (1 + sqrt(171))**2. 6*sqrt(19) + 243 Simplify ((sqrt(108)*1)/sqrt(12) + sqrt(9))/sqrt(3) + 1. 1 + 2*sqrt(3) Simplify -6*(sqrt(720)*1)/(sqrt(400)*-1). 18*sqrt(5)/5 Simplify 2 + sqrt(931)*2 - (sqrt(931) - (sqrt(931) - 5*-3*sqrt(931))). 2 + 119*sqrt(19) Simplify (sqrt(156)*2)/sqrt(12) + sqrt(13) + (0 + sqrt(1573))**2. 3*sqrt(13) + 1573 Simplify (-1 + sqrt(7))**2*3 + (sqrt(28) + sqrt(28)*1)/sqrt(4). -4*sqrt(7) + 24 Simplify (sqrt(68)/(sqrt(4) - (sqrt(8)/sqrt(2)
{ "pile_set_name": "DM Mathematics" }
32). -23 Let x(l) = -l + 139. Calculate x(28). 111 Let f(o) = -19*o + 36. Calculate f(8). -116 Let l(a) = -a**3 - 22*a**2 + 208*a + 176. Give l(-29). 31 Let n(u) = 7*u**3 - 2*u**2 + u - 3. Determine n(-2). -69 Let l(w) = 39*w - 5093. What is l(130)? -23 Let c(z) = 6*z**3 - 148*z**2 - 46*z + 27. Calculate c(25). 127 Let h(y) = 2*y**3 - 12*y**2 - 23*y + 10. What is h(7)? -53 Let j(w) = w**2 - 62*w + 403. What is j(13)? -234 Let q(w) = w - 415. Give q(8). -407 Let n(y) = y**3 + 12*y**2 - 22*y - 328. Calculate n(-12). -64 Let y(j) = -j**3 - j**2 + 2040*j + 6100. Determine y(-3). -2 Let k(g) = -g**2 + 41*g - 130. Determine k(37). 18 Let p(f) = -31*f + 493. Calculate p(15). 28 Let p(m) = -m**3 + 14*m**2 + 11*m + 46. What is p(15)? -14 Let v(p) = p**3 + 43*p**2 - 74. What is v(-43)? -74 Let a(c) = 52*c**2 - 4*c - 7. What is a(-1)? 49 Let h(j) = 5*j**3 - 4*j - 13. What is h(-3)? -136 Let z(q) = 19*q + 560. What is z(-29)? 9 Let k(f) = 6*f - 68. Determine k(-13). -146 Let w(m) = 3*m**3 + 13*m**2 - m - 10. Determine w(-6). -184 Let n(o) = 31*o**2 + 3*o + 6. Give n(-2). 124 Let j(v) = 678*v - 10853. What is j(16)? -5 Let m(o) = 20*o - 43. Calculate m(17). 297 Let r(t) = 17477*t + 13. Give r(0). 13 Let h(b) = b**2 - 116*b - 9656. Determine h(172). -24 Let z(p) = -6*p**2 - 124*p - 239. Determine z(-19). -49 Let n(o) = 2*o**2 - 28*o + 111. Determine n(11). 45 Let a(n) = -3*n**2 + 40*n - 39. Give a(1). -2 Let x(y) = 18*y + 107. Determine x(-7). -19 Let b(g) = -g**2 - 71*g + 998. What is b(-83)? 2 Let u(y) = y**3 + 20*y**2 - 25*y - 498. Determine u(-20). 2 Let h(v) = -7*v + 226. Calculate h(5). 191 Let x(w) = -20*w**2 + 815*w + 281. Determine x(41). 76 Let w(k) = -k**3 - 308*k**2 + 629*k + 2795. Give w(-310). 5 Let j(y) = -888*y - 8878. Determine j(-10). 2 Let w(c) = -6*c**3 - 16*c**2 + 54*c + 163. What is w(-3)? 19 Let t(z) = -z**3 - 17*z**2 - 52*z + 67. Determine t(-7). -59 Let o(b) = -b**2 + 3552*b + 17795. What is o(-5)? 10 Let f(k) = 2*k**2 + 264*k - 1367. Calculate f(-137). 3 Let b(w) = 14*w**2 + 42*w + 27. What is b(-2)? -1 Let d(p) = -4942*p - 69172. Calculate d(-14). 16 Let u(m) = m**3 + 10*m**2 - 34*m - 160. Calculate u(-12). -40 Let h(g) = -313*g**2 - 10*g + 10. Calculate h(1). -313 Let g(f) = -95*f - 2787. Determine g(-29). -32 Let d(n) = -n**3 - 39*n**2 - 192*n - 67. What is d(-34)? 681 Let f(o) = -103*o + 305. What is f(4)? -107 Let d(w) = -w**3 - 79*w**2 - 2*w - 154. Give d(-79). 4 Let u(d) = -60*d**3 - 3*d**2 - d + 10. What is u(-2)? 480 Let y(u) = 101*u**2 - 1412*u - 22. Determine y(14). 6 Let c(y) = 2*y**2 + 104*y + 1359. What is c(-25)? 9 Let l(t) = -t**2 + 26*t + 9. What is l(27)? -18 Let m(y) = -5*y**2 - 20*y - 79. Give m(-5). -104 Let z(c) = -29*c + 1386. Determine z(48). -6 Let k(b) = 212*b**3 + b**2 - 2*b + 1. Determine k(1). 212 Let b(g) = -116*g + 5445. Give b(47). -7 Let w(h) = -h**3 - 4*h**2 + 62*h + 35. Give w(-10). 15 Let f(k) = 1938*k + 3875. Give f(-2). -1 Let r(a) = -6*a**3 - 5*a**2 + 7*a + 11. Calculate r(-2). 25 Let s(c) = c**3 + 15*c**2 - 15*c + 61. Determine s(-16). 45 Let d(q) = q**3 + q**2 - 28*q + 10. Give d(-6). -2 Let n(x) = x**3 - 58*x**2 - 112*x + 175. Calculate n(60). 655 Let r(f) = 2*f**3 - 104*f**2 - 102*f - 217. Determine r(53). -5 Let i(s) = 24909*s + 24918. Calculate i(-1). 9 Let a(y) = -2*y**2 + 4*y + 13. Determine a(-3). -17 Let b(k) = k**3 - 37*k**2 - 5*k - 85. Give b(37). -270 Let i(c) = -1982*c - 29714. Determine i(-15). 16 Let y(x) = -9*x**2 + 224*x + 224. Calculate y(26). -36 Let y(p) = -16*p - 4. Determine y(27). -436 Let q(m) = m**3 - 2*m**2 - 18*m. Calculate q(-7). -315 Let n(d) = d**3 - 30*d**2 - 407*d + 31. Calculate n(-11). -453 Let a(d) = 56*d + 436. Calculate a(-12). -236 Let k(w) = 32*w - 312. Determine k(8). -56 Let a(t) = 8*t + 25. What is a(18)? 169 Let m(f) = -363*f - 1840. Determine m(-5). -25 Let d(j) = -579*j + 583. Give d(1). 4 Let j(x) = -x**3 - 9*x**2 + 324*x - 32. Determine j(14). -4 Let i(v) = 4*v**2 - 17*v - 106. What is i(12)? 266 Let w(i) = i**2 - 77*i + 1240. Give w(54). -2 Let a(n) = 54*n + 1949. Give a(-36). 5 Let y(w) = -2*w**3 + 44*w**2 + 640*w + 29. What is y(-10)? 29 Let s(w) = w**3 - 11*w**2 - 45*w + 286. Calculate s(5). -89 Let y(x) = -x**3 + 109*x**2 - 2888*x - 636. Calculate y(63). -6 Let m(p) = p**3 + 10*p**2 + 23*p - 13. Determine m(-6). -7 Let l(v) = 31*v - 3005. Determine l(91). -184 Let v(b) = -147*b**2 - 739*b - 3. Calculate v(-5). 17 Let c(l) = -l**3 - 10*l**2 + 54*l - 2. Give c(-14). 26 Let w(j) = -6*j**2 - 82*j + 38. Determine w(-12). 158 Let u(o) = 109*o - 314. Calculate u(6). 340 Let l(f) = f**3 - 7*f**2 + 21*f - 143. Calculate l(6). -53 Let g(a) = 73*a + 149. Determine g(-3). -70 Let c(i) = -26*i**2 + 5*i - 2. Calculate c(1). -23 Let v(p) = 2*p**2 - 13*p - 76. What is v(10)? -6 Let y(h) = 9*h**2 - 93*h + 39. Determine y(6). -195 Let b(s) = 371*s - 4456. Give b(12). -4 Let g(w) = 3*w**3 + 23*w**2 - 7*w + 33. What is g(-8)? 25 Let n(l) = -51*l**2 - 660*l + 17. Give n(-13). -22 Let i(u) = -42*u**2 - u + 2. Determine i(2). -168 Let d(b) = 552*b + 60. Give d(-1). -492 Let r(k) = -k + 85. Give r(5). 80 Let l(s) = -30*s - 124. What is l(2)? -184 Let i(w) = -6*w**3 - 235*w**2 - 37*w + 90. Calculate i(-39). 12 Let q(o) = 2*o**2 - 34*o - 699. Give q(-12). -3 Let t(n) = n**3 + 57*n**2 + 308*n + 18. Determine t(-6). 6 Let n(g) = -g**3 + 38*g**2 - 37*g - 21. Determine n(37). -21 Let h(o) = 7*o**3 + 6*o**2 + 7*o + 9. Calculate h(-2). -37 Let w(p) = -19*p - 1294. What is w(-68)? -2 Let h(l) = -11*l + 390. Calculate h(35). 5 Let t(q) = -q**2 - 4590*q - 50355. Determine t(-11). 14 Let w(o) = o**2 - 570*o - 18634. Determine w(-31). -3 Let m(r) = 11*r - 218. Determine m(33). 145 Let j(w) = -w**3 + 16*w**2 + 80*w - 4. Determine j(20). -4 Let n(s) = 2*s**2 + 189*s + 559. Determine n(-3). 10 Let m(o) = 17*o - 772. Calculate m(45). -7 Let l(t) = 4809*t - 24032. Determine l(5). 13 Let g(z) = -134*z + 1743. What is g(13)? 1 Let g(q) = -2*q**2 + 75*q - 262. Give g(4). 6 Let b(d) = -d**3 + 51*d**2 - 58*d + 480. What is b(50)? 80 Let u(c) = -251*c + 20. What is u(0)? 20 Let r(t) = 35*t**3 - t**2 + 6*t - 17. What is r(2)? 271 Let h(i) = -24*i**2 - 29*i + 6. What is h(2)? -148 Let s(q) = 13*q + 231. What is s(-18)? -3 Let m(f) = -3*f**3 - 84*f**2 + 5*f + 30. Calculate m(-28). -110 Let b(u) = 2*u**3 + 10*u**2 + 5*u - 34. Calculate b(-7). -265 Let b(k) = -k**3 - 34*k**2 + 12*k - 760. What is b(-35)? 45 Let u(p) = -p**3 - 81*p**2 + 254*p + 174. Determine u(-84). 6 Let n(i) = 968*i + 6754. Determine n(-7). -22 Let g(w) = -74*w**2 - 33*w + 9. Determine g(-2). -221 Let y(n) = 7899*n + 31597. Determine y(-4). 1 Let x(u) = -1032*u + 38193. Calculate x(37). 9 Let k(s) = -s**2 + 273*s - 3381. Give k(13). -1 Let z(c) = c**3 - 1419*c**2 + 8474*c + 18. Calculate z(6). -6 Let z(j) = j**3 - 21*j**2 + 14*j + 108. Determine z(21). 402 Let d(o) = o**3 + 4*o**2 - 32*o + 9. Calculate d(-8). 9 Let w(d) = d**3 - 26*d**2 + 95*d - 158. Give w(22). -4 Let f(v) = v**2 - 133*v + 4171. Calculate f(76). -161 Let g(o) = -236*o - 2608. Give g(-11). -12 Let x(w) = 229*w + 411. What is x(-2)? -47 Let q(l) = -l**3 - 23*l**2 + 171*l - 16. What is q(-29)? 71 Let c(u) = u**2 - 1699*u - 17078. Calculate c(-10). 12 Let n(w) = -2*w**2 + 11*w + 11. Give n(-2). -19 Let m(f) = -2*f**2 + 241*f + 968. What is m(-4)? -28 Let s(z) = -z**3 + 226*z**2 - 3934*z + 14. Determine s(19). -5 Let h(i) = -3*i**2 - 7*i + 69. Give h(-11). -217 Let t(j) = 466*j + 5112. Calculate t(-11). -14 Let x(w) = w**2 + 11*w + 1. Calculate x(-10). -9 Let t(l) = -291*l**2 - 17460*l + 7. Give t(-60). 7 Let d(o) = o**3 - 21*o**2 + 6*o - 129. Calculate d(21). -3 Let u(q) = q**2 + 40*q - 2089. Give u(-70). 11 Let m(x) = -5*x**3 + 5*x**2 + 7*x + 12. Determine m(-3). 171 Let c(y) = -2*y**3 + 13*y**2 + 30*y - 20. What is c(7)? 141 Let x(g) = -462*g + 2672. What is x(6)? -100 Let c(u) = -u**2 - 15952*u + 95747. Give c(6). -1 Let t(w) = w**2 - 133*w - 1737. Give t(-12). 3 Let d(g) = -4*g**3 - 34*g**2 - 2*g - 182. Determine d(-9). -2 Let k(b) = 830*b - 339466. What is k(409)? 4 Let h(s) = s**3 - 14*s**2 + 35*s - 51. Determine h(11). -29 Let q(d) = -2*d**2 + 23*d + 35. Give q(14). -35 Let s(u) = 2*u**2 - 339*u - 845. Determine s(172). 15 Let m(s) = -s**2 - 84*s +
{ "pile_set_name": "DM Mathematics" }
10*a**2 + 7*a - 3. Let w(h) = -7*l(h) - 2*v(h). Is 15 a factor of w(-8)? True Let z(d) = -167*d + 3. Is 5 a factor of z(-1)? True Let w(b) = b. Let d(m) = -39*m + 1. Let f(x) = -d(x) - 4*w(x). Is f(5) a multiple of 29? True Suppose q + 4295 = 2*t, 7*t + 4*q + 10742 = 12*t. Is t a multiple of 61? False Let l be (3/(-12))/((-3)/228). Suppose -s + 3*n = -n - l, 0 = 2*s + 3*n + 6. Suppose -2*z + s*k - 1 + 94 = 0, z - 2*k = 47. Is 15 a factor of z? True Suppose 4*o - 2*x = -1094, -3*o - 3*x - 122 = 721. Is 42 a factor of (o/(-5))/((-1)/(-5))? False Let h(d) = 76*d - 446. Is h(22) a multiple of 20? False Let i(p) = p + 8. Let v be i(-9). Let b be (v/(-1))/(1/(-3)). Does 6 divide b/(-4) + 21/4? True Suppose 38880 = -2*k + 26*k. Is k a multiple of 16? False Suppose -10*n + 12*n = -f + 6023, n - 2*f - 3004 = 0. Is 35 a factor of n? True Let h be (-2)/5 - 18/5. Let r(f) = 4*f**2 - 4*f - 5. Let p be r(h). Suppose 4*w - 29 = j + p, 78 = 3*w + 3*j. Is 13 a factor of w? True Is 5 a factor of ((-70)/(-7))/(3*2/129)? True Suppose 4*k - 533 - 779 = 0. Does 20 divide k? False Let m = -1 - 3. Let i be m*(-3)/2 + -3. Suppose 7 + 33 = s + 4*p, i*p = -6. Does 16 divide s? True Let u(i) = -2*i**2 - 22*i - 17. Let h be u(-10). Suppose 0 = 2*q - 6*q - f + 187, h*q = f + 142. Is 47 a factor of q? True Suppose -3597 = -4*f + 2*a - a, -f + 3*a + 891 = 0. Is 30 a factor of f? True Let k(a) = 14*a**2 - 3*a - 10. Is k(-6) a multiple of 16? True Let j(i) = i. Let w(b) = 3*b + 8. Let a(z) = -4*j(z) + w(z). Let h be a(4). Suppose 2*p - h*q + 0*q = 44, -66 = -3*p + 2*q. Does 11 divide p? True Let h(t) = t**3 + 14*t**2 - 9*t - 1. Is 5 a factor of h(-14)? True Suppose -83*v = -474225 + 129028. Is v a multiple of 106? False Let c = -47 + -55. Suppose -12 = -4*s, 5*m - 588 - 138 = 3*s. Let d = c + m. Is 19 a factor of d? False Let v(d) = -d**2 - 26*d - 14. Suppose -2*k - 5*x = 31, -3*x - 28 - 23 = 3*k. Is 26 a factor of v(k)? True Let o = -1193 + 1720. Does 48 divide o? False Suppose -3*u + 141 = 3*q, 3*u = -4*q + 157 - 21. Is u a multiple of 13? True Let c = -21 - -21. Suppose 5 = x - 3*h - 11, c = x - 2*h - 19. Is 5 a factor of x? True Suppose u = 4, 6*s - u - 1436 = 2*s. Does 3 divide s? True Let x = -29 - -21. Let r be 42/x - (-2)/8. Let h = 29 + r. Is 21 a factor of h? False Let s = -89 - -91. Let j be 0 - (-1 + -2) - -2. Suppose 0 = -2*u - s*i + 18, -5*u + j*i = -0*i - 45. Does 4 divide u? False Let f(b) = -214*b - 180. Is 28 a factor of f(-10)? True Let q(y) be the second derivative of -47*y**3/3 - 13*y**2 + 45*y. Is q(-4) a multiple of 54? False Let b(x) = -3*x**3 + 2*x**2 - 11*x - 21. Is b(-6) a multiple of 15? True Let x(u) = 15*u**2 - u. Let n be x(1). Let v = 19 - n. Suppose 38 = -v*b + 6*b. Is b a multiple of 19? True Let m(l) be the third derivative of 0*l + 7*l**2 + 0 + 1/12*l**6 - 1/6*l**3 - 1/6*l**4 + 1/60*l**5. Is 25 a factor of m(2)? True Let i = -356 - -395. Does 20 divide i? False Suppose 4*m - 19 = -3*h + 151, 6 = 3*m. Suppose 186 = 4*n + h. Is n a multiple of 11? True Let s be -3 + -1*(-292)/(7 - 3). Let t = s - 42. Is 14 a factor of t? True Let u(f) = f - 12. Suppose -2*s + 28 = 4*o, -3*o + 4*o + 5 = s. Let p be u(s). Let y = p + 31. Is 14 a factor of y? False Let o = -189 + 405. Is (o/10 + (-24)/60)*15 a multiple of 53? True Let j = -83 + 129. Let n = 81 - j. Does 9 divide n? False Suppose -46 = -w + 10. Suppose 5*t = w + 29. Is 17 a factor of t? True Suppose 11*z = 10*z + 325. Is 13 a factor of z? True Suppose 35*l - 39*l + 2508 = 0. Does 31 divide l? False Let j(r) = -r**3 + 9*r**2 + 11*r + 7. Let h be j(10). Let u = h - -94. Suppose -13*k + u = -10*k. Is 25 a factor of k? False Does 20 divide (143946/63)/11 - (-2)/7? False Suppose 6*o - 4*o = 26. Suppose -6*w - 385 = -o*w. Is 6 a factor of w? False Let w = 266 - 152. Is 38 a factor of w? True Suppose -x = 7 - 1. Let u(v) = v + 6. Let w be u(x). Let n(c) = c**2 + 18. Does 7 divide n(w)? False Suppose 5*t = -a + 4*t, -3*t + 6 = 5*a. Suppose 5*r - a*l = -3 + 30, -3*r + 1 = 2*l. Is r a multiple of 2? False Let l(i) = -2*i + 10. Let n be l(3). Suppose q - 220 = -n*m, 5*m + 2*q + q - 282 = 0. Let s = m + -9. Is s a multiple of 12? False Suppose -4*k - 2 = 5*x - 1, k = -3*x - 9. Let c = -45 + k. Let n = 69 + c. Is 5 a factor of n? True Suppose -4*h = -143 - 25. Suppose 0 = -2*c - 11 - 7. Let j = h + c. Does 23 divide j? False Is 235/((-1)/(-6)*2) a multiple of 75? False Let s(d) = -3*d - 15. Let y be s(9). Let m = -17 - y. Does 5 divide m? True Suppose -3*j - 34 = 5*o, 0 = 2*o - 0 + 10. Let n(t) = -9*t**3 + t**2. Let s be n(-1). Is 24*(-3 - s/j) a multiple of 3? False Let u(p) = p**2 - p + 186. Let s be 0/(4 - 2/1). Does 21 divide u(s)? False Let p(z) = -56*z - 47. Let x be p(-9). Let r = x + -306. Is r a multiple of 24? False Suppose 3*y + 5*k = 46, 0*y - 31 = -3*y - 2*k. Suppose 4 = y*u - 9*u. Is 2*(u - -1) - -33 a multiple of 18? False Suppose 0 = 4*l + 5 - 17. Suppose 5*d = -l*d + 176. Is d a multiple of 4? False Suppose 0 = -13*q + 1602 + 543. Is 6 a factor of q? False Let k = -663 - -1083. Suppose 0*d = 5*d - k. Does 27 divide d? False Let u(j) = -290*j + 541. Is u(-17) a multiple of 13? False Suppose 3*a - 5 = 2*v + 5, 20 = 3*a - 4*v. Is (6 + -1)*(25 - a) a multiple of 25? True Let w be 173/4 + 1/(-10 + 6). Let a = 298 + w. Is a a multiple of 24? False Let g be 1 - 4/(-1 + 0). Let o(v) = 4*v**3 + 4*v**2 + 3*v - 3. Let m(u) = 3*u**3 + 4*u**2 + 4*u - 3. Let c(p) = 5*m(p) - 4*o(p). Does 7 divide c(g)? False Is (12/6 - 10)/((-9)/378) a multiple of 7? True Let r(t) = -t**3 + 11*t**2 - 4*t + 9. Let z be r(9). Let a = 40 - z. Let x = a - -141. Does 23 divide x? True Let j(w) = 10*w**2 + 4*w + 2. Let h be j(-5). Let p = -163 + h. Is 8 a factor of p? False Suppose 16*d - 5718 = 12*d - 2*z, -3*z - 4293 = -3*d. Is d a multiple of 22? True Let w(v) = 2*v - 1. Let c be w(5). Suppose c*a - 4*a = 10. Suppose 11 = a*s - s. Is 11 a factor of s? True Let c be (4/(-5))/((-1)/(-10)). Let q(v) = v**2 + v - 10. Is 36 a factor of q(c)? False Let x(w) = -w**3 - 14*w**2 - w. Suppose -2*g - 28 = -0*g. Let a be x(g). Is 90/7*a/3 a multiple of 17? False Let d be (-8)/10 - 4/20. Let x(k) = -5*k. Let j be x(d). Suppose -j*w = -49 - 21. Is w a multiple of 7? True Let w(s) = s**2 - 2*s + 25. Let f(z) = -z**2 + 3*z - 24. Let k(m) = -5*f(m) - 4*w(m). Is k(15) a multiple of 19? False Let x(a) = 3*a**2 - 21*a + 87. Is 29 a factor of x(7)? True Let m = -348 - -367. Does 2 divide m? False Let x(a) = -a + 28. Let q(h) be the third derivative of h**4/24 + h**3/6 - h**2. Let k be q(-1). Is x(k) a multiple of 17? False Suppose 431 = -y + 2*y - 5*b, -5*y + 2265 = -3*b. Suppose -2*u - i = -100, -2*i = -5*u + y - 188. Is u a multiple of 27? False Suppose -39*c = -32*c - 238. Let r be 8/(-9)*-3*-6. Let y = r + c. Does 9 divide y? True Let g be -2*9/6 - -2. Let o(q) = -36*q**2 + 1. Let k(a) = -109*a**2 + 3. Let j(d) = 2*k(d) - 7*o(d). Is j(g) a multiple of 14? False Let g(k) = k**2 + 4*k + 5. Let h be g(-8). Suppose -40*f + 216 = -h*f. Does 29 divide f? False Suppose 2*y - z - 14 = -3*z, -10 = -4*y + 2*z. Suppose 4*g - 2*j - 18 = 12, y*g = -3*j + 35. Does 2 divide g? True Let f be 40/18 - 4/18. Suppose 2*x + 2*i - 128 = 0, -5*x + 4*i + 214 + 106 = 0. Suppose -4*g = -f*g - x. Is 9 a factor of g? False Let m be 3 - ((2 - 1) + -1). Suppose 5*u = -3*p + 9 + 55, -5*p - u = -136. Suppose -m*j + 4*n = -24 - p, 2 = n. Does 17 divide j? False Let i be (-6 + 0)*2/(-6). Let h be 8/(-20) - i/(-5). Suppose 14 = -h*s + s. Is s a multiple of 4? False Let z(v) = -8*v - 36 + 2 - 4*v. Is z(-8) a multiple of 6? False Let q(l) = -l**3 + 6*l**2 - 5*l - 1. Let i be q(4). Let y be 2/((-2)/(-3)*1). Suppose y*f = -2 + i. Is 3 a factor of f? True Let w(j) = -j**2 - 12*j - 7. Let m be w(-11). Let r(b) = -3*b**3 + 6*b**2 - 2*b + 2. Let f be r(m). Let n = f + 180. Is n a multiple of 13? True Does 21 divide 8/(-14) - (-7488)/168? False Suppose 33 - 13 = 2*n. Let w be (1*-1)/(n/(-30)). Is 25 a factor of 25*(-1 + w + -1)? True Suppose 0 = 2*n + 6, -5*t + 10*n + 8086 = 8*n. Is t a multiple of 16? True Let h = -106 - -108. Suppose 0 = h*c - b - 149, 5*c + 2*b - 493 = -116. Is c a multiple of 15? True Let t(h) = 2*h**2 - 39*h + 75. Is t(-21) a multiple of 111? True Suppose 3*u +
{ "pile_set_name": "DM Mathematics" }
2*y What is the w'th term of -1285, -1292, -1299? -7*w - 1278 What is the k'th term of 326, 1333, 3024, 5399, 8458, 12201, 16628? 342*k**2 - 19*k + 3 What is the f'th term of -32, -39, -50, -65, -84, -107, -134? -2*f**2 - f - 29 What is the p'th term of -218, -220, -222, -224, -226, -228? -2*p - 216 What is the k'th term of 22211, 22218, 22229, 22244? 2*k**2 + k + 22208 What is the v'th term of -48, -42, -36? 6*v - 54 What is the b'th term of -685, -1368, -2051, -2734, -3417? -683*b - 2 What is the q'th term of -44, -44, -60, -104, -188, -324? -2*q**3 + 4*q**2 + 2*q - 48 What is the a'th term of 1, 14, 31, 52, 77, 106? 2*a**2 + 7*a - 8 What is the x'th term of 88, 56, 28, 4? 2*x**2 - 38*x + 124 What is the g'th term of 51, 72, 111, 174, 267, 396, 567, 786? g**3 + 3*g**2 + 5*g + 42 What is the m'th term of -155, -309, -463, -617, -771? -154*m - 1 What is the u'th term of -27, -48, -85, -138, -207, -292? -8*u**2 + 3*u - 22 What is the o'th term of 145, 292, 439, 586? 147*o - 2 What is the r'th term of 193, 410, 633, 868, 1121, 1398? r**3 - 3*r**2 + 219*r - 24 What is the g'th term of -4, -15, -16, -1, 36? g**3 - g**2 - 15*g + 11 What is the i'th term of 20, 57, 114, 191, 288, 405, 542? 10*i**2 + 7*i + 3 What is the j'th term of 14, 54, 122, 218, 342, 494? 14*j**2 - 2*j + 2 What is the r'th term of 45, 74, 81, 66, 29, -30, -111? -11*r**2 + 62*r - 6 What is the c'th term of 721, 1452, 2183, 2914, 3645? 731*c - 10 What is the x'th term of -2075, -2064, -2037, -1988, -1911, -1800? x**3 + 2*x**2 - 2*x - 2076 What is the d'th term of 1602, 3232, 4864, 6498, 8134, 9772? d**2 + 1627*d - 26 What is the w'th term of -85, -166, -249, -334, -421? -w**2 - 78*w - 6 What is the g'th term of -7, -13, -23, -37? -2*g**2 - 5 What is the y'th term of 12, 10, 6, 0? -y**2 + y + 12 What is the k'th term of -1163, -1139, -1113, -1085, -1055, -1023? k**2 + 21*k - 1185 What is the a'th term of -183, -189, -197, -207? -a**2 - 3*a - 179 What is the k'th term of 29, 44, 49, 44, 29? -5*k**2 + 30*k + 4 What is the w'th term of -107, -82, -57, -32, -7? 25*w - 132 What is the y'th term of 722, 710, 674, 602, 482, 302, 50, -286? -2*y**3 + 2*y + 722 What is the a'th term of -486, -491, -496? -5*a - 481 What is the k'th term of -343, -351, -359? -8*k - 335 What is the p'th term of 12, 29, 70, 147, 272, 457, 714? 2*p**3 + 3*p + 7 What is the h'th term of 83, 159, 235, 311? 76*h + 7 What is the o'th term of 134, 144, 170, 218, 294, 404, 554, 750? o**3 + 2*o**2 - 3*o + 134 What is the z'th term of 34, 49, 64, 79, 94, 109? 15*z + 19 What is the p'th term of 19717, 19718, 19719? p + 19716 What is the h'th term of 126, 251, 376, 501, 626? 125*h + 1 What is the a'th term of 10, 21, 40, 67, 102? 4*a**2 - a + 7 What is the d'th term of 489, 982, 1475, 1968, 2461, 2954? 493*d - 4 What is the s'th term of -12, -7, 10, 45, 104, 193? s**3 - 2*s - 11 What is the f'th term of 38, 23, -6, -55, -130, -237, -382, -571? -f**3 - f**2 - 5*f + 45 What is the p'th term of -4, -1, 10, 29? 4*p**2 - 9*p + 1 What is the b'th term of 72, 57, 30, -15, -84, -183? -b**3 - 8*b + 81 What is the h'th term of -153, -162, -171? -9*h - 144 What is the m'th term of -26, -61, -96, -131, -166, -201? -35*m + 9 What is the u'th term of -23, -48, -83, -134, -207, -308, -443? -u**3 + u**2 - 21*u - 2 What is the m'th term of -211, -461, -711? -250*m + 39 What is the p'th term of 23, 32, 43, 56, 71, 88, 107? p**2 + 6*p + 16 What is the v'th term of 553, 551, 549, 547, 545, 543? -2*v + 555 What is the z'th term of 5, 9, 13, 17, 21? 4*z + 1 What is the y'th term of 411, 1630, 3659, 6498? 405*y**2 + 4*y + 2 What is the d'th term of -160, -173, -186, -199, -212? -13*d - 147 What is the v'th term of 18, 20, 26, 36, 50, 68, 90? 2*v**2 - 4*v + 20 What is the s'th term of 3359, 13449, 30261, 53789, 84027, 120969, 164609? -s**3 + 3367*s**2 - 4*s - 3 What is the n'th term of -211, -182, -151, -118, -83, -46? n**2 + 26*n - 238 What is the t'th term of -110, -121, -148, -197, -274, -385, -536, -733? -t**3 - 2*t**2 + 2*t - 109 What is the q'th term of 5045, 5044, 5043, 5042, 5041, 5040? -q + 5046 What is the x'th term of -10, -61, -114, -169? -x**2 - 48*x + 39 What is the v'th term of 38, 82, 126? 44*v - 6 What is the h'th term of 29, 39, 39, 23, -15, -81, -181? -h**3 + h**2 + 14*h + 15 What is the b'th term of 644, 641, 636, 629, 620? -b**2 + 645 What is the k'th term of -36, -41, -46, -51, -56? -5*k - 31 What is the j'th term of -673, -672, -671? j - 674 What is the s'th term of -516, -522, -516, -492, -444, -366? s**3 - 13*s - 504 What is the i'th term of 41, 53, 65, 77, 89, 101? 12*i + 29 What is the q'th term of 188, 189, 190, 191, 192, 193? q + 187 What is the r'th term of -12, -25, -36, -45? r**2 - 16*r + 3 What is the l'th term of -22, -34, -58, -100, -166, -262, -394, -568? -l**3 - 5*l - 16 What is the f'th term of -478, -960, -1442? -482*f + 4 What is the m'th term of -17, -8, 23, 88, 199, 368? 2*m**3 - m**2 - 2*m - 16 What is the c'th term of -234, -239, -248, -261, -278? -2*c**2 + c - 233 What is the s'th term of -17, -36, -67, -116, -189, -292? -s**3 - 12*s - 4 What is the m'th term of 36, 46, 70, 114, 184? m**3 + m**2 + 34 What is the f'th term of 6, 12, 10, -6, -42, -104, -198, -330? -f**3 + 2*f**2 + 7*f - 2 What is the v'th term of 3, 18, 35, 54, 75, 98? v**2 + 12*v - 10 What is the h'th term of 47, 45, 55, 83, 135, 217, 335? h**3 - 9*h + 55 What is the a'th term of 217, 233, 263, 313, 389, 497? a**3 + a**2 + 6*a + 209 What is the b'th term of -82, -325, -730, -1297, -2026? -81*b**2 - 1 What is the y'th term of 253, 243, 233, 223? -10*y + 263 What is the w'th term of 3125, 6246, 9369, 12494, 15621, 18750? w**2 + 3118*w + 6 What is the u'th term of 60, 66, 72? 6*u + 54 What is the l'th term of 71, 127, 181, 233, 283, 331, 377? -l**2 + 59*l + 13 What is the p'th term of -55, -67, -79, -91, -103, -115? -12*p - 43 What is the v'th term of 38, 83, 144, 227, 338, 483, 668? v**3 + 2*v**2 + 32*v + 3 What is the l'th term of -63, -122, -181, -240, -299, -358? -59*l - 4 What is the l'th term of -6, -12, -18, -24? -6*l What is the s'th term of 249, 229, 205, 177, 145? -2*s**2 - 14*s + 265 What is the q'th term of -24, 17, 68, 135, 224, 341, 492, 683? q**3 - q**2 + 37*q - 61 What is the t'th term of -112, -445, -1028, -1885, -3040, -4517, -6340, -8533? -4*t**3 - 101*t**2 - 2*t - 5 What is the f'th term of 233, 236, 241, 248? f**2 + 232 What is the z'th term of 10, 35, 70, 109, 146, 175, 190? -z**3 + 11*z**2 - z + 1 What is the t'th term of 600, 1190, 1768, 2328, 2864, 3370? -t**3 + 597*t + 4 What is the m'th term of 6, 65, 156, 273, 410, 561, 720? -m**3 + 22*m**2 - 15 What is the t'th term of -17, 41, 219, 577, 1175? 10*t**3 - 12*t - 15 What is the f'th term of -17607, -35212, -52817, -70422, -88027? -17605*f - 2 What is the s'th term of -18, -90, -214, -390, -618, -898, -1230? -26*s**2 + 6*s + 2 What is the z'th term of 4296, 8594, 12892, 17190? 4298*z - 2 What is the w'th term of 184, 183, 182, 181, 180, 179? -w + 185 What is the l'th term of 6, 19, 26, 21, -2, -49, -126, -239? -l**3 + 3*l**2 + 11*l - 7 What is the w'th term of 543, 540, 535, 528, 519? -w**2 + 544 What is the w'th term of -151, -240, -329, -418, -507? -89*w - 62 What is the o'th term of 356, 711, 1066, 1421, 1776? 355*o + 1 What is the j'th term of 1, 17, 33? 16*j - 15 What is the o'th term of -11868, -11870, -11872? -2*o - 11866 What is the t'th term of -37, -94, -173, -274, -397, -542? -11*t**2 - 24*t - 2 What is the p'th term of 712, 1414, 2114, 2812, 3508? -p**2 + 705*p + 8 What is the w'th term of 1058, 2116, 3174? 1058*w What is the c'th term of -70, -316, -728, -1306, -2050? -83*c**2 + 3*c + 10 What is the t'th term of -13228, -26457, -39686, -52915? -13229*t + 1 What is the i'th term of -25, -45, -65? -20*i - 5 What is the b'th term of -131, -60, 13, 88, 165, 244? b**2 + 68*b - 200 What is the v'th term of 26, 107, 242, 431? 27*v**2 - 1 What is the m'th term of 111, 447, 1009, 1797, 2811, 4051? 113*m**2 - 3*m + 1 What is the x'th term of -3, -61, -165, -315, -511? -23*x**2 + 11*x + 9 What is the q'th term of -195, -792, -1787, -3180, -4971? -199*q**2 + 4 What is the f'th term of 404, 804, 1202, 1598? -f**2 + 403*f + 2 What is the a'th term of -11, 24, 6
{ "pile_set_name": "DM Mathematics" }
-180/7, -143, 0.3? 0.3 What is the second biggest value in 20/721, 4, 2, 5/3? 2 What is the third smallest value in -2019, -30.4, 2/9? 2/9 Which is the second biggest value? (a) 3.1 (b) 2221544 (c) -5 a What is the sixth biggest value in 0.3, -2/5, 5, -25, -7/40, 4, -430? -25 What is the seventh smallest value in 1, -1351, -1, -0.2, 0.2, 3, -1.9? 3 Which is the second biggest value? (a) -3 (b) 63 (c) 2255 (d) 0.3 b What is the fourth biggest value in 4, 3, 2/7, 5, 0.21, 0.4, -9? 0.4 What is the second biggest value in -0.1, 46, 4, 118, -4? 46 What is the fourth smallest value in 3/14, -2/9, -5/7, -3, 2/11, -47? -2/9 Which is the second smallest value? (a) 2/11 (b) -2278.66 (c) 0 c Which is the fifth biggest value? (a) 15.88 (b) 3/7 (c) 12 (d) -3/5 (e) -7 e What is the sixth smallest value in -3.5, 2/15, 4, -1/5, -0.5, -18/5? 4 What is the sixth smallest value in 134, 7, 0, 362, 0.05, 3? 362 Which is the third biggest value? (a) -1/11 (b) 160/3 (c) 8 (d) 1/13 d What is the second biggest value in 0.2, 3, 6, 2/11, 9, 8? 8 What is the fourth smallest value in -4/11, 1, 0.1, -11/3, 4, 383? 1 Which is the sixth smallest value? (a) -2/37 (b) 390 (c) 2/11 (d) -228/11 (e) -5/2 (f) 5 b Which is the fifth smallest value? (a) -3 (b) -2/89 (c) -88 (d) -69 (e) -2/3 b Which is the second biggest value? (a) 2283/15206 (b) 0 (c) 4 a Which is the smallest value? (a) -2/7 (b) 2/19071 (c) -4 (d) 0.08 (e) -0.4 c What is the third biggest value in 0.02, 33312, 2, -1, -3, 0.05? 0.05 Which is the third biggest value? (a) -1967 (b) 1.8 (c) -13 a What is the smallest value in -3, -2, 21142/7? -3 Which is the sixth biggest value? (a) -0.062 (b) 3 (c) 5 (d) -435 (e) 129 (f) -3 d What is the third smallest value in -31, -1/308, -7/6, -2, -11? -2 What is the smallest value in -0.0279602, -0.3, -1/11? -0.3 What is the fourth smallest value in 5, -1/6, 136, 2/11, 2347, 2/3? 5 Which is the fourth biggest value? (a) -7 (b) -97 (c) 0.22 (d) 0.202 b What is the seventh biggest value in 34, 0.275, -4/7, -4, 1/4, -3, -2? -4 Which is the fourth smallest value? (a) 91 (b) 5 (c) 0.10241 (d) -0.5 a Which is the third smallest value? (a) -0.5 (b) -36 (c) -4/7 (d) -2/7 (e) -9 (f) -0.4 c Which is the fifth biggest value? (a) 1/437 (b) -0.21 (c) -0.1 (d) -5/2 (e) -0.02 (f) 3/7 b Which is the fifth biggest value? (a) 0 (b) -1276.4 (c) -3/10 (d) 0.4 (e) 1 b What is the smallest value in -0.1, -0.5, -0.2, 0.4, -185.1, -6/37? -185.1 Which is the second biggest value? (a) 3 (b) 6/29 (c) -43264 b Which is the third smallest value? (a) 1.7 (b) 0 (c) 1/15 (d) 3/14 (e) -0.2 (f) -3/4 (g) -4 e Which is the third biggest value? (a) -4 (b) 0.0328151 (c) 20 a Which is the second smallest value? (a) -5446 (b) 23 (c) -1734 c What is the third biggest value in -4, 0.1, 3, -2/9, 0, -4674? 0 Which is the smallest value? (a) -15/2 (b) -21 (c) -3 (d) -29 (e) 1/9 (f) -237 (g) 3 f Which is the second smallest value? (a) 21537 (b) 2/9 (c) -3 (d) 9/7 b What is the fourth biggest value in 5/2, 0.37, 2, -2/7, -23, 184? 0.37 What is the fourth biggest value in -5, -0.2, -8, 0.1, 2.4, 1, -0.496? -0.2 Which is the smallest value? (a) 5 (b) 0.061641 (c) -0.7 (d) 4 c Which is the second biggest value? (a) 18 (b) -21357 (c) 0.07 (d) 1 d Which is the biggest value? (a) 42.5 (b) 6715/6 (c) 2/5 b Which is the fourth biggest value? (a) -1 (b) -12 (c) 0.08 (d) 58107 b Which is the second biggest value? (a) -5 (b) 18 (c) 4 (d) -53 (e) -123 c What is the sixth smallest value in 3/4, 3, -5, 1, 6/19, 4/5, 89? 3 What is the sixth smallest value in -1/11, 18, -57, 2, -1, 2.8? 18 Which is the third smallest value? (a) 94 (b) 0.3 (c) -12896/9 a Which is the second biggest value? (a) 3735 (b) 61 (c) 342 c Which is the third smallest value? (a) -3/7 (b) 142 (c) -3598 b Which is the fifth smallest value? (a) -0.02 (b) 2 (c) 10 (d) -377 (e) -5 c Which is the fourth biggest value? (a) -267/5 (b) 56/31 (c) -3/7 (d) -0.3 a What is the third biggest value in -3/5, 2, 147, 5, -5? 2 Which is the second biggest value? (a) 2/3 (b) 89858 (c) 4.4 (d) -0.1 c Which is the fifth smallest value? (a) 22/9 (b) -2 (c) -0.07 (d) -12 (e) -4 (f) 4/3 f What is the third smallest value in 34352, 1/5, -2, 2/11? 1/5 Which is the third biggest value? (a) -0.1 (b) -6 (c) 4/3 (d) -13/7 (e) -182 d What is the second smallest value in -35300, -6.4, -5, 0.7? -6.4 Which is the biggest value? (a) 0.03012274 (b) -2 (c) -6 a Which is the biggest value? (a) -5 (b) 3/8 (c) 46241 (d) 2/17 (e) -2 (f) -17 c What is the third smallest value in 51/2, 2/11, 2, 0, 0.33, -0.121? 2/11 What is the second smallest value in 0, -133, 378/3785, -2/15? -2/15 Which is the sixth biggest value? (a) 2 (b) -2/9 (c) 5 (d) -222 (e) 0.9 (f) 5/2 d What is the fifth smallest value in 2, -2, 0.3, -283, 1/30, -0.137? 0.3 What is the third biggest value in -5/7, -3, 6, -17/15, -8.49? -17/15 What is the smallest value in -32.59, 26, -0.05? -32.59 What is the third biggest value in -67812, 4, -0.4, 5, -0.5, -3, -0.2? -0.2 Which is the fourth smallest value? (a) -3 (b) -65 (c) 2.23 (d) -101 c Which is the third biggest value? (a) 5182 (b) 8 (c) -18 (d) -0.4 (e) -1 (f) 1 f What is the fourth smallest value in -4/1183, 0.3, -1, -6/445? 0.3 What is the biggest value in -0.5, -345.2, 32, -49, -4? 32 Which is the second biggest value? (a) -0.4 (b) -14 (c) 352 (d) 0.25 d What is the biggest value in -2.6, 2/37, -485381, 0.2? 0.2 Which is the fourth smallest value? (a) -0.56 (b) -181/6 (c) -0.3 (d) 414 d Which is the second biggest value? (a) 0.3 (b) -2 (c) -2/141 (d) -30.8 c Which is the biggest value? (a) 1/6 (b) -9445 (c) -0.2 (d) 18 (e) -5 (f) 0.2 d What is the smallest value in 1.7, -16.66, 0.01, 0.5, 0.3, -1.1, -4? -16.66 Which is the fifth biggest value? (a) 1/5 (b) 121 (c) 1/17 (d) -14 (e) 0.06 (f) -6 (g) -5 g Which is the third smallest value? (a) 0 (b) 3/1276535 (c) -6 b What is the seventh smallest value in -1/4, -4/21, -0.5, 1.27, 4, 3, 2/5? 4 Which is the second biggest value? (a) -3 (b) -2 (c) 441.5178 (d) 3 d Which is the smallest value? (a) 55262/23 (b) -1/5 (c) 2/13 b Which is the smallest value? (a) 51.926 (b) -3 (c) -34 c What is the second biggest value in -2, 365914, 4, 16? 16 Which is the third biggest value? (a) -3/8 (b) -273 (c) 1/2 (d) 2/675 (e) 0 e What is the fourth smallest value in 2/9, 2, 80, -317184? 80 Which is the third biggest value? (a) 0.4 (b) 3.6 (c) -236 (d) -0.08 d What is the second smallest value in 0.6, -116, -0.027, -18? -18 Which is the second biggest value? (a) -25/6 (b) 5 (c) -102619 a What is the sixth smallest value in 4, 4/7, 2/11, 0.2, -55369, -4, -2.5? 4/7 What is the fifth smallest value in 1295, -0.4, 1/11, -1/29, 2? 1295 Which is the second biggest value? (a) -2/1406299 (b) -10 (c) 1/5 a Which is the second biggest value? (a) -33 (b) 2532 (c) -2795 (d) -0.1 d What is the sixth biggest value in -0.4, -1, -5, 1, -11, 170? -11 What is the second biggest value in -0.003, -1.1728, -1/9? -1/9 Which is the fifth biggest value? (a) 11.4 (b) 14 (c) 0.3 (d) -2/21 (e) 0.7 d Which is the fourth smallest value? (a) -0.2 (b) -3 (c) 336/61 (d) 108 (e) 0 (f) 0.06 f What is the second biggest value in 4, 0.4, -1.4, -1356, -5? 0.4 What is the smallest value in -1/432, 0.4, -2, 3, -34101? -34101 What is the second biggest value in 45, -27, -2, 6277, -0.3? 45 Which is the fourth biggest value? (a) 79.3 (b) -1.42 (c) -3 (d) -26 d What is the third biggest value in 1, -4, 850.5, -10, -0.02? -0.02 What is the third smallest value in 1/5, 122, -2476/15? 122 Which is the fifth biggest value? (a) 1 (b) 0.1 (c) -6/7 (d) -2 (e) -3633 (f) 5/7 d Which is the smallest value? (a) -1 (b) 64 (c) 3 (d) -2/13 (e) 108.2 (f) 2 a What is the biggest value in 2/5, 16, -0.5, -3/41, 11, -1, -5? 16 What is the fifth smallest value in 2/5, -0.137, 1/4, -18, -12, 3/7? 2/5 Which is the third smallest value? (a) 2352 (b) -1.12 (c) 0.0397 a Which is the sixth biggest value? (a) 3 (b) 3/5 (c) -0.5 (d) 12619 (e) -2 (f) 5 e Which is th
{ "pile_set_name": "DM Mathematics" }
form b*l**2 + v*l + d*l**3 + o + h*l**4 and give h. 14 Express -19*u + 34*u - 37*u in the form p*u + y and give p. -22 Rearrange 7*z**3 + 2*z**4 - 9*z**2 + 10*z**2 + 2*z**3 to n + i*z + j*z**3 + q*z**4 + t*z**2 and give q. 2 Express -424*q**2 + 425*q**2 + 0*q - q in the form c*q + v + u*q**2 and give c. -1 Rearrange (-2*f + 0 + 0)*(-6 + 1 - 2 + (-3 + 4 + 1)*(-3 - 2 + 4)) + 0*f - f - f to the form l*f + i and give l. 16 Express r + 5*r + 10*r + r as z*r + b and give z. 17 Express -s**2 + 10*s**2 + 5*s**3 - 4*s**2 in the form a + m*s**2 + k*s + w*s**3 and give w. 5 Rearrange 3*u**2 + 6*u**3 + 2 - 3*u**3 - 5*u**3 to k*u**2 + j + o*u + h*u**3 and give k. 3 Rearrange 155*r - 51*r + 82*r to d + k*r and give k. 186 Rearrange 72 + 98*p - 72 to u*p + l and give u. 98 Express 18*u - 10*u + 17*u as z + h*u and give h. 25 Express f**3 + 0*f**3 + 0*f**3 + (2 - 2 + 3*f**2)*(-12 + 12 - 23*f) as w*f + d + t*f**2 + b*f**3 and give b. -68 Rearrange 2*d**2 + d - d**2 + d**4 - 188 + 3*d**3 + 185 to z*d**2 + r*d**3 + f*d + h + j*d**4 and give z. 1 Express 5*a**4 - 2*a**3 - 9*a + 4*a**3 + 0*a**3 + 15*a + a**2 in the form x*a**3 + v + m*a**4 + f*a**2 + p*a and give v. 0 Express -3988 - 3*o**2 + o**2 + 3986 + 2*o**4 - 2*o - 4*o**3 in the form j*o + w*o**3 + z*o**2 + d*o**4 + a and give w. -4 Express (0*q + q - 2*q)*(5 + 10 - 11) in the form r + u*q and give u. -4 Express (-z**2 + 1 - 1)*(2 - 2 - 1) + 0*z**2 - z**2 - z**2 - 2*z**2 + z**2 + 3*z**2 - 66*z**2 + 37*z**2 + 34*z**2 - 2 as d + s*z**2 + c*z and give d. -2 Rearrange 55*t + 32*t - 43*t to the form q + i*t and give i. 44 Rearrange (2 + 1 + 6*s - 3*s)*(-4 + 0 + 1) to the form f + l*s and give f. -9 Rearrange (-o - 2 + 2)*(-195*o**2 - 265*o**2 - 9*o**2 - 250*o**2) to d + z*o + j*o**3 + h*o**2 and give d. 0 Rearrange (-2*t - 5 + 5)*(-4*t**2 + 4*t**2 + t**3) + 0*t**2 + 0*t**2 - t**4 - 21 - t**2 - t - 6*t**4 + 21 to w + u*t**2 + f*t**4 + o*t**3 + y*t and give u. -1 Express -39 + 39 + 26*x as w*x + k and give w. 26 Rearrange -21*f + 15*f - 2*f**4 + 8*f - 3*f**2 to the form d*f**2 + v*f**4 + n*f + r*f**3 + u and give v. -2 Rearrange -3*q - 3 + 3 + 8*q to m*q + t and give m. 5 Rearrange (6 - 4*f - 6 - 3 + 3 + f + 0*f - 2*f + f + (0 - 2*f + 0)*(0 + 0 + 1) + 3*f - 4*f - f)*(2 + 0 - 1) to the form z + q*f and give q. -8 Express (1 - 4 + 2)*(-u + u + 2*u**2) + 2*u**2 - 3*u**2 + 2*u**2 + (5 - 5 - u)*(-u - 2*u + 0*u) in the form s + p*u + x*u**2 and give p. 0 Express -35 + 14 + 6*s + 20 + 2*s in the form r + o*s and give o. 8 Rearrange 11*w**2 + 4*w - 2*w - 4*w**2 to the form m*w**2 + k + z*w and give m. 7 Express -3*k**2 + 5*k**2 - 4*k**2 + 2*k**2 - k**2 + 2*k**2 + (0*k - k + 2*k)*(2*k - 1 + 1) as q*k**2 + g + u*k and give q. 3 Rearrange 229 + 43*b**2 + 2*b - 229 - 11*b**2 to s*b + i*b**2 + d and give i. 32 Express -2*u - u + u - 2*u**4 - 2 - u**3 in the form j*u**4 + z*u + f + v*u**2 + d*u**3 and give d. -1 Express (-2 + 0 + 4)*(y**2 + 2*y + 0*y - 3*y) in the form z*y + o*y**2 + f and give z. -2 Rearrange -25*j**2 + 27 + 33 + j - 62 to the form q*j + c*j**2 + f and give c. -25 Express (-z + 4*z - z)*(-7*z + 0*z + 0*z)*(2*z - 2*z - z) as j + m*z**2 + w*z**3 + x*z and give w. 14 Express -5 + 5 + 2*j + (-7 + 3 + 6)*(1 - 1 - 2*j) in the form f + l*j and give l. -2 Express (10*c + c + 9*c)*(2 + 2 - 2 + (1 - 1 + 1)*(4 - 3 - 3) + 6 - 4 - 4)*(-c - c + 3*c) as y*c + w + n*c**2 and give n. -40 Express (-3*x**2 - 3*x**2 + 2*x**2)*(-3 + x + 3 + (-2*x - 2*x + 3*x)*(-2 + 0 + 0) + x + 0*x - 3*x) in the form p*x**3 + y + h*x + f*x**2 and give p. -4 Express (0 - 2 - 3)*(-n + 5*n + n)*(-4*n**2 + 6*n**2 + 2*n**2) as z*n**3 + k + i*n**2 + o*n and give z. -100 Rearrange (-2*k + k + 4*k)*(4 + 2 - 3) + (-1 - 2 + 4)*(-3*k + 3*k - 2*k) to w*k + x and give w. 7 Express 11*d - 31 + 31 in the form r*d + k and give r. 11 Express -118*f - 129*f + 254*f - 16 in the form u*f + v and give u. 7 Express -i**3 + i - i + (i**2 + 14*i**2 + 19*i**2)*(i - 6*i + i) in the form x + m*i**2 + v*i**3 + k*i and give v. -137 Rearrange (2*b**2 + 12*b**2 + 11*b**2)*(-2 + 2 + 2)*(1 - 3 + 1) to s*b**2 + c + z*b and give c. 0 Express -2*d - 5 + 9*d**2 + 4 + 2*d**2 in the form o + b*d**2 + f*d and give o. -1 Express (4*h + 0*h - 3*h)*(-h**3 - 3*h**3 + 5*h**3) + (2*h**3 - 4*h**3 + 0*h**3)*(0 - h + 0) in the form a*h**2 + o*h + d*h**4 + l + v*h**3 and give d. 3 Rearrange -5 - 3*v**2 + 5 to the form s*v + z + b*v**2 and give b. -3 Express -5 + 5 + 18*l in the form k + o*l and give o. 18 Express (-9 - 4*v + 9)*(5 - 4 + 7)*(-2*v**3 + 4*v**3 - 3*v**3) as x*v**3 + q + t*v**4 + p*v**2 + k*v and give t. 32 Express 0 + 0 - r + (-4 + 2 + 3)*(0*r - 3*r + 2*r) - 3*r + 0*r - 2*r - 3*r + 3*r - 3*r + (-2*r + 0 + 0)*(0 + 3 - 1) - 5*r + 4*r + 0*r as v + j*r and give j. -15 Express -5 - 8*j**2 + 7 - j**2 as k + z*j + h*j**2 and give k. 2 Express -2*o**2 - 6 + 12 - 4 - 3*o - o as j*o**2 + w + i*o and give i. -4 Express 163 + 20*y - 163 as l + t*y and give t. 20 Rearrange 18 + 7*g - 37 + 16 to the form k*g + n and give k. 7 Rearrange 6 + 2*d**2 + d**4 - 6 + 0*d**3 - 3*d**3 to w + j*d**3 + o*d**2 + b*d**4 + s*d and give b. 1 Rearrange -n + 20*n + 0*n + 6*n to d*n + i and give d. 25 Express 4 + 0 + 37*n**2 - 36*n**2 + n as i + u*n**2 + l*n and give i. 4 Express -b**3 - 5 - 2 + 1 + 5 in the form q*b**3 + z + a*b**2 + n*b and give z. -1 Rearrange (s + s - 3*s)*(-2 + 0 + 4)*(-3*s + 2*s + 6*s - s + 4*s - s + (3 - 3 + 4)*(-4*s + 6*s + 0*s)) to the form n*s + w + r*s**2 and give r. -30 Rearrange 5 + 3*d + 2*d**2 - 8 + 3 to u*d + r + q*d**2 and give q. 2 Rearrange 6*c - 2*c - 3*c + (-3*c + 5*c - c)*(3 + 0 - 2) + (3 + 2 - 4)*(-2*c + 4*c - 3*c) - 7*c + 13*c + 4*c to the form i + d*c and give d. 11 Express -14*y**2 + 5*y**2 + 4*y**2 in the form i + s*y**2 + a*y and give i. 0 Express -7*y + y**2 + 1 + 6 - 9*y**2 + 6*y**2 in the form k*y + u + l*y**2 and give l. -2 Express (4 + 5 - 4)*(2 - 2 - q) + 4*q + q - 4*q as w + d*q and give d. -4 Express 2 + 3*t**2 - t**3 + 0*t**3 - 317*t + 322*t + 0*t**3 in the form i*t**2 + v*t + c*t**3 + p and give i. 3 Rearrange -20*g**2 + 19*g**3 + 19*g**2 - 8 + 2*g - 18*g**3 to the form q*g**2 + r*g + n + k*g**3 and give q. -1 Express -9 + 2 + 2 + 4 + s as y + i*s and give i. 1 Express -16*c - c**2 - 5*c**4 + 13*c + 2 + 4*c as y*c**3 + n*c + r*c**2 + x*c**4 + o and give x. -5 Express -2*z**2 - 1 - 2*z**2 + 7*z**2 as f*z**2 + m*z + w and give w. -1 Express b**2 + 3*b**2 + 19*b + 20*b - 41*b in the form y*b + k + t*b**2 and give k. 0 Rearrange -3 - 6*r + 3 to x + f*r and give f. -6 Express (-2 - 4 - 6)*(q - 5*q + 2*q) + 7*q + 4*q + 4*q in the form g*q + w and give g. 39 Rearrange 4*k - 127 + 127 to a*k + z and give a. 4 Express -3 + r**3 + 0*r**3 + 4 - 3*r**2 + 1 in the form v*r**3 + o*r + t + s*r**2 and give v. 1 Rearrange (27*u + 4*u - 13*u)*(-u**2 - 3*u**2 + 5*u**2) to z*u**3 + q*u + k*u**2 + d and give k. 0 Rearrange (3 + i - 3)*(-2 + 6 - 2) + 14 + 40 - 377*i - 54 to r*i + b and give r. -375 Rearrange (5 - x - 5)*(0 + 4 - 6) - 11*x - 4*x - 2*x to s + d*x and give d. -15 Rearrange (168 - 370 + 188)*(3*r - 5*r + 3*r) to l*r + x and give l. -14 Express 46 - 46 - 22*t in the form n*t + h and give n. -22 Rearrange 4*c**4 - c**3 + 7*c**3 + 0*c + 2*c - 4*c**3 to s*c**3 + u*c + o + j*c**2 + w*c**4 and give s. 2 Rearrange (-3*l + 0 + 0)*(-1 + 1 - 2)*(3*l - l - l) to q*l + o*l**2 + v and give v. 0 Express (2*h + 2*h - 2*h)*(4 - 12 + 9) in the form p*h + t and give p. 2 Rearrange 48 - 23 - w**2 - 23 + 4*w**3 to the form r + z*w**2 + h*w + v*w**3 and give z. -1 Express (-4 + 2 + 1)*(-1 - 1 + 0)*(4 - 1 - 4 + (0 + 2 + 0)*(4 - 2 - 3) - 4 + 3 - 1)*(-4*v**2 + 3*v**2 - v**2) as t*v**2 + q*v + k and give t. 20 Rearrange -9*d**3 + d - 6*d**4 + 3*d**3 + 5*d**3 to the form k*d**3 + u + p*d**4 + g*d + c*d**2 and give g. 1 Rearrange -105 + 10*h + 105 to m*h + s and give s. 0 Rearrange (-21*p**2 + 19*p**2 + 16*p**2)*(-3 - p + 3) to the form h + l*p**2 + q*p + x*p**3 and give x. -14 Rearrange -6*j - j - 4*j to i + y*j and give y. -11 Express -2*z - 8*z + 2*z**2 - 4*z**2 as a*z + d + i*z**2 and give i. -2 Rearrange (-1 + 1 - 1)*(b + 2*b + 15*b) to s + f*b and give f. -18 Rearrange 2*j - 12*j + 7*j + 14*j to the form x + t*j and give t. 11 Express 14 - o - 32 + 12 in the form w + x*o and give w. -6
{ "pile_set_name": "DM Mathematics" }
7 - 20*a**2 + o*a**2 - 29 + 7 wrt a? 116*a Let d(g) = -g**2 - 17*g. Let r be d(-14). Find the first derivative of l**2 + 6*l**4 - r*l**4 + 49 - 146 wrt l. -144*l**3 + 2*l Let q(m) be the third derivative of -139*m**7/210 + m**6/60 - m**4/24 - 1510*m**3/3 - 661*m**2. Find the first derivative of q(g) wrt g. -556*g**3 + 6*g**2 - 1 Differentiate -444 - 969*w + 2522 - 1030*w - 721*w + 498 with respect to w. -2720 Let c(b) = 7*b - 9. Let t be c(4). Suppose -14*z = -t*z + 10. What is the second derivative of 43*n**2 - 68*n**2 - 15*n**z + 4*n wrt n? -80 Let u(r) be the third derivative of 2*r**2 - 1 + 0*r + 11/120*r**6 - 1/6*r**3 + 1/35*r**7 - 37/30*r**5 + 0*r**4. What is the third derivative of u(z) wrt z? 144*z + 66 Let o = 13 - 9. Let c(h) = -38*h - 254. Let j be c(-8). What is the third derivative of 3*g**2 + j*g**4 - 34*g**o - 30*g**4 wrt g? -336*g Let k(c) = -8*c - 19. Let p be k(-3). Let y(u) be the first derivative of -7 + 15*u**2 - 136*u + 109*u - p - 10. What is the first derivative of y(s) wrt s? 30 Let g be ((-3)/4)/(12/(-1152)*3). What is the third derivative of -g*s + 18*s**4 - 122*s**4 + 25*s + 65*s - 2*s**2 wrt s? -2496*s Let b = -12 + -23. Let l = b + 39. Find the third derivative of -2*j**l - 20*j**2 + 73*j**3 - 73*j**3 wrt j. -48*j What is the second derivative of 73*q**3 - 19*q**2 + 2*q + 91 + 63 - 21 + 83*q**3 - 15*q wrt q? 936*q - 38 Let r = -3963 - -3967. Let t(o) be the first derivative of 0*o**3 + 13/5*o**5 - 4*o + 0*o**r + 0*o**2 - 10. Differentiate t(m) wrt m. 52*m**3 Let m(u) = -u**4 + u**2 + 4*u. Let w(y) = -245*y**4 - 4*y**3 - 2*y**2 + 150*y - 5. Let h(d) = -2*m(d) - w(d). What is the second derivative of h(g) wrt g? 2964*g**2 + 24*g Differentiate -346 - 1193 + 193 - 128 - 1099 + 4553*d wrt d. 4553 Suppose 2593 = 10*q + 233. Find the second derivative of 16*y - q - 12*y**5 + 236 + 30*y wrt y. -240*y**3 Let c(w) = 8767*w - 7831. Let z(n) = 8812*n - 7829. Let o(i) = 5*c(i) - 4*z(i). What is the derivative of o(j) wrt j? 8587 Suppose 2*d + 38 - 42 = 0. What is the third derivative of 49*l**6 + 120 - 49 - d*l**2 - 48 wrt l? 5880*l**3 Let s(r) be the first derivative of 41*r**6 - r**3/3 + 819*r**2 - 9156. Find the third derivative of s(z) wrt z. 14760*z**2 Suppose 19*i = -4*b + 14*i + 28, -2*b = i - 20. Find the second derivative of b + 0 + 40*l**4 - 15 - 2 + 5*l wrt l. 480*l**2 Let c(p) be the third derivative of -7*p**2 + 0*p**4 + 101/120*p**6 + 1/30*p**5 + 0*p + 0 - 2*p**3. Find the third derivative of c(j) wrt j. 606 Let x(o) = -o**3 + 8*o**2 + 2*o - 11. Let w be x(8). Suppose -w*n = -91 - 74. What is the third derivative of -49*c + 36*c**2 + 49*c - n*c**5 wrt c? -1980*c**2 Suppose -110 = -4*n + 3*w, 5*w + 62 = -3*n + 5*n. What is the third derivative of 18*a**3 + 23*a**2 - n*a**3 - 37*a**3 - 3*a wrt a? -270 Find the third derivative of 1065*a + 26*a**3 - 16*a**4 + 31*a**4 - 53*a**4 + 3*a**2 + 2 - 29*a**4 - a**2 wrt a. -1608*a + 156 Let o be (-1)/(9/(-15) + (-631)/(-1060)). Suppose o = 5*n - 2*p, -2*n - 5*p = -3*n + 47. Differentiate -16 - 14 + 0 - n*f**4 + 4*f**4 wrt f. -152*f**3 Let o be (-38)/(-20) + (-18)/(-180). What is the derivative of 72*p**2 - 45*p**2 + 22*p**2 + 102 + 49*p**o wrt p? 196*p Let g(s) be the first derivative of 73 - 27*s**3 + s**2 - 9*s + 1/4*s**4. Find the second derivative of g(v) wrt v. 6*v - 162 Let l(c) = 2712*c**2 - 45*c - 5. Let n(j) = 1356*j**2 - 20*j - 2. Let v(o) = 2*l(o) - 5*n(o). What is the second derivative of v(s) wrt s? -2712 What is the first derivative of -258*k**3 - 59*k**2 + 119*k**2 + 837 - 974*k**3 - 62*k**2 wrt k? -3696*k**2 - 4*k Suppose 22 + 4 = u - 2*s, 0 = 5*s - 20. Find the first derivative of -u*n**2 + 7*n**3 + 3*n**3 + 28 - 8*n**3 wrt n. 6*n**2 - 68*n Let v(s) = 7985*s**3 - 54*s**2 + 6*s - 2. Let a(n) = 39914*n**3 - 271*n**2 + 32*n - 9. Let x(o) = -2*a(o) + 11*v(o). What is the third derivative of x(u) wrt u? 48042 Let i(z) be the third derivative of 0 + 23/6*z**3 - 11/30*z**7 + 6*z**2 - 5*z + 0*z**6 + 0*z**4 + 0*z**5. Differentiate i(b) wrt b. -308*b**3 Let n be (-276)/(-1035)*75/10. Let z(w) be the second derivative of -23*w + 0*w**3 + 0 - 8*w**n - 19/15*w**6 + 0*w**5 + 0*w**4. Differentiate z(d) wrt d. -152*d**3 Suppose -5*f = -2 - 8. Let h(o) be the first derivative of 7*o + 5 - 13 - 2 + 1 + 6*o**f. Differentiate h(z) wrt z. 12 What is the first derivative of -354*n - 302*n + 2947 + 3*n**4 + 3394 - 5*n**4 wrt n? -8*n**3 - 656 Let g be -1*((-18)/6 + 1). What is the second derivative of 88*k**2 - g + 2 - 6*k + 38*k wrt k? 176 What is the first derivative of l**4 - 8644*l + 12928 + 23134*l - 11753*l wrt l? 4*l**3 + 2737 Suppose -21 = -8*u + u. Let g be (-40)/(-12) + u/(-9). Find the third derivative of 15*w**5 - g*w**5 + 15*w**2 + 2*w**2 wrt w. 720*w**2 What is the first derivative of 6767*y**4 + 3748 - 25211*y**4 + 6166 + 8815*y**4 wrt y? -38516*y**3 Let u(n) = 414*n**3 - 15*n**2 - 57*n - 3. Let k(m) = -417*m**3 + 21*m**2 + 58*m + 4. Let y(i) = -3*k(i) - 4*u(i). What is the third derivative of y(d) wrt d? -2430 Let p(g) = 1295*g**2 + 2*g - 2108. Let l(i) = 9064*i**2 + 15*i - 14755. Let o(y) = -2*l(y) + 15*p(y). What is the derivative of o(m) wrt m? 2594*m Suppose 2*t = -t + 2*v + 3, 4*t - 21 = -3*v. Suppose t*k + 0 = 102. What is the third derivative of 18*f**4 + k*f**2 - 53*f**2 + 36*f**2 wrt f? 432*f What is the first derivative of 3684 - 937*y - 107*y - 8*y - 212*y wrt y? -1264 Let l(s) be the second derivative of 147*s**5/4 - 180*s**4 + 3657*s. What is the third derivative of l(k) wrt k? 4410 What is the second derivative of 80*m**4 + 1411*m**5 + 22*m**4 + 3703*m - 126*m**4 + 23*m**4 wrt m? 28220*m**3 - 12*m**2 Suppose -13 = -5*v + v - h, 4*h = -2*v - 4. What is the first derivative of -3623*b - v + 3623*b + 123*b**2 + 33 wrt b? 246*b Let u(b) = -2237*b**3 + 7*b**2 - 7*b - 410. Let j(g) = -1119*g**3 + 4*g**2 - 4*g - 205. Let s(c) = -7*j(c) + 4*u(c). Differentiate s(k) wrt k. -3345*k**2 Let n(d) be the second derivative of -247*d**7/42 - d**5/5 + 1193*d**3/3 - 1387*d. Find the second derivative of n(w) wrt w. -4940*w**3 - 24*w Differentiate 6434608*o**4 + 4*o**2 - 1121 - 147 - 6432887*o**4 with respect to o. 6884*o**3 + 8*o Suppose 4*w = -5*m + 22, 0 = 3*m - 4*w - 0 + 6. Differentiate -12*h**m - 4679*h + 4679*h - 2*h**3 + 3 wrt h. -6*h**2 - 24*h Let a(t) be the first derivative of 0*t - 11/2*t**4 + 149 - 157/2*t**2 + 0*t**3 - 1/5*t**5. Find the second derivative of a(x) wrt x. -12*x**2 - 132*x Let t(a) be the second derivative of 27/4*a**5 + 43*a + 0 + 1/6*a**3 - 65/12*a**4 + 0*a**2. Find the third derivative of t(s) wrt s. 810 What is the derivative of 1245 + 290*v**3 - 965 + 2*v**2 - 1287 wrt v? 870*v**2 + 4*v Suppose 2*u - 2*y + 2 = 0, 0 = -3*y + 5 + 4. Find the third derivative of 25*a**4 - a + 5*a**u + 4*a - 3*a - 8*a wrt a. 600*a Let y(v) be the third derivative of v**7/35 - 23*v**6/6 + 1871*v**4/12 + v**2 + 266*v. Find the second derivative of y(g) wrt g. 72*g**2 - 2760*g Suppose 3*t - 413 - 82 = 0. Let w be (8/(-3))/(1310/t + -8). Find the third derivative of 5*f - 14*f**2 + w*f**2 - 5*f - 23*f**6 wrt f. -2760*f**3 What is the second derivative of 43*c + 618*c + 31 - 13 + 984*c**5 - 20 wrt c? 19680*c**3 Let t(u) = 6*u + 112. Let i be t(-18). Find the third derivative of -2*l**3 - 17*l**3 - 130*l**i + 122*l**2 - 135*l**4 + 260*l**4 wrt l. -120*l - 114 Let b(l) be the second derivative of -1/12*l**4 + 36*l + 0*l**3 + 0*l**6 - 1 + 52*l**2 - 65/21*l**7 + 0*l**5. What is the third derivative of b(u) wrt u? -7800*u**2 Suppose 3*k = k - r + 2, 0 = 4*k + 5*r + 2. Find the third derivative of 243*i**3 - 241*i**3 - 3*i**2 - 4*i**k + 56*i**6 wrt i. 6720*i**3 + 12 Let q(v) = 913*v**2 + 2247*v - 47. Let o(n) = 1827*n**2 + 4495*n - 79. Let f(u) = -3*o(u) + 5*q(u). What is the second derivative of f(m) wrt m? -1832 Suppose 14 + 1 = -3*c. Let i = 429 + -423. Let s(o) = -10*o**2 + 6*o + 19. Let a(v) = -10*v**2 + 5*v + 18. Let j(b) = c*s(b) + i*a(b). Differentiate j(y) wrt y. -20*y Suppose 14*d - 141 = 951. What is the second derivative of -353*j**2 + d*j + 286*j**2 + 10*j + 72*j + 91*j wrt j? -134 Differentiate 450*o - 5244 - o**2 + 2160 + 4702 wrt o. -2*o + 450 Find the third derivative of -5100*n**4 - 228*n**4 - 2260*n**2 - 1234*n**2 - 3178*n**4 wrt n. -204144*n Let
{ "pile_set_name": "DM Mathematics" }
hich is the third biggest value? (a) -0.4 (b) -1/3 (c) j (d) t a Let l = 22474 + -22472. What is the fourth biggest value in -5, 0.3, l, 3.3, -0.4? -0.4 Let j(h) = -379*h + 3814. Let g be j(12). Which is the smallest value? (a) g (b) 0.2 (c) 5 a Let n = 147 - 152. Let x be 0 + ((-57)/9 - n). Which is the third biggest value? (a) x (b) 0.1 (c) -2/3 (d) -26 a Let c = -86 + 86.053. Let m = -166.01 - -163. Let f = -3.11 - m. What is the second smallest value in -4, f, c? f Let f = 4.2655 + -1.2655. What is the fourth smallest value in 1, -2, f, 426, 0? f Let m(h) = h**3 - 11*h**2 - 39*h + 19. Let z be m(14). Let o be (3 - 5)*28 - 0. Let n = o + z. What is the biggest value in n, 2, -2/9? n Let s = 1872 - 1276. Let a = 596.3 - s. What is the third smallest value in a, 0.1, 0.02, 4/5? a Let f = 66 - 39. Let b = 183 - 210. Let k = f + b. What is the fourth biggest value in 0.5, k, -7, -5? -7 Let h = 0.8 + 0.2. Let s = 88769 - 88772. What is the fourth biggest value in s, 1/2, 0.047, h? s Let w = -2126 - -2125.5. Let m be ((-532)/(-147))/(4/(-66)). Let s = m - -60. Which is the third smallest value? (a) s (b) w (c) -3/7 (d) 0.7 a Let m = -2297/2796 - -50/699. Which is the second biggest value? (a) 0 (b) m (c) 1 (d) -2/7 a Let a = 67 + 229. Let p = a + -341. Let d = 2 - 2.2. What is the third smallest value in 1/3, p, d? 1/3 Let f = -0.2 + 0.3. Let z = 3.6 - -166.4. Let n = z - 174. Which is the second smallest value? (a) -1 (b) f (c) n a Let q be (-3480)/232 + 33/2. What is the biggest value in q, 3, 2, -0.1, -5? 3 Let k = -1207 + 1204. Let g = 29 - 28.8. Which is the fourth smallest value? (a) -5 (b) -1/4 (c) g (d) k c Let x(q) = q**3 + 4*q**2 - 95*q - 495. Let z be x(-6). What is the smallest value in -0.7, z, -2, 6, -1? -2 Let z = -0.031 - 10.469. Let y = z - -10. Let n = 5319 + -5319.3. Which is the third smallest value? (a) y (b) 4 (c) 0.1 (d) n c Let k be (2 + (-60)/32)/(2/(-4)). Suppose 58 - 170 = 14*h. Let o be (7 - 11)*(0 - (-10)/h). Which is the biggest value? (a) k (b) 2/17 (c) o (d) 2/13 c Let p be (2 + 35/(-16))*(-22)/(-132)*4. Which is the second biggest value? (a) 0.2 (b) 4/9 (c) 0.042 (d) p (e) 1 b Let i = -3.2 - -0.2. Suppose 3*m - 18 = -3*f, 7*m - 16 = -3*f + 6*m. What is the second smallest value in -4, 0.2, f, i? i Let n = 11.11 - 0.11. Let t be (-2)/(-2) + (-4)/5. Let z = 0.15713 + 4.84287. What is the fourth biggest value in z, t, n, -4? -4 Suppose -8*j - 9*j - 2278 = 0. Let h = j + 1204/9. What is the smallest value in 2/3, -4/3, h? -4/3 Let k be (0 + 1)*(-2)/(-9). Let n = 10410.1 - 10410. Which is the fourth smallest value? (a) k (b) 5 (c) -2/9 (d) n b Let r = -148.8 + 149. Which is the third biggest value? (a) -2 (b) -2/3 (c) 0.03 (d) r b Let b = 138.8 + -138. Let v = 1 - b. Let k = 2.9 + -3. What is the second biggest value in 0, v, k? 0 Let g = 12072 - 156930/13. Which is the fourth biggest value? (a) -4 (b) 0.4 (c) -2 (d) g (e) 0 c Let i be 6 + (-979)/110 - (-50)/20. What is the fourth biggest value in 14, i, 1/4, 4? i Let j = 0.7 - -2.3. Let v be (-1268)/(-84) - (-18)/(-189). Suppose -30*u - v = -33*u. What is the biggest value in 0.3, j, u, 2/7? u Let t = 2/57 - 7/19. Let o = -11 - -11.14. Let x = -2.86 - o. What is the biggest value in x, -1, t? t Let l = 34 - 28. Let d = 8 - l. Let q = -97/4 - -24. What is the biggest value in q, d, 2/3? d Let u = -42.893 - -45.893. Which is the biggest value? (a) 8/3 (b) 13 (c) 2/13 (d) 1/3 (e) u b Let x = 20 + 19. Let l = 25 - x. Let u be ((-9)/(-18))/(l/(-16) + -1). Which is the biggest value? (a) u (b) 0 (c) -2/13 b Let u = 6041 + -6040. Which is the biggest value? (a) 36 (b) u (c) -5 a Let p = -0.07606 - -0.57606. Which is the biggest value? (a) -16 (b) 3 (c) p b Let m = -2 + 3. Let v = -1.4 + m. Let u(r) = r**3 - 22*r**2 + 87*r - 57. Let n be u(4). Which is the biggest value? (a) 2 (b) n (c) v b Let y = -8185 + 40924/5. Which is the second smallest value? (a) 37/3 (b) 2/7 (c) -0.6 (d) -3 (e) y c Let a = 3197 + -3187.988. Let j = -521.012 - -521. Let g = j + a. What is the second smallest value in 1/2, g, -1/4? 1/2 Let v = -1.84 + 0.59. Let w = 4.75 - v. Which is the fourth smallest value? (a) -1 (b) w (c) -2/7 (d) -0.3 b Let d = -3660 + 3655. What is the fifth smallest value in 0, 1/2, -13, -3, d? 1/2 Let o(z) = 479*z + 4316. Let g be o(-9). What is the fourth biggest value in 62/7, -0.08, -4, -3/7, g? -3/7 Let z be -1*1 - 2/(-4). Let q = -138.8 + -497.2. Let s = 634 + q. Which is the third biggest value? (a) -5 (b) s (c) z (d) 3 b Let t = 86 + -51. Let m = t - 34. Let q = 1.3 + 3.7. What is the third biggest value in m, 0.1, q? 0.1 Let x = 511 - 512. What is the second smallest value in -16/5, 3, x, -11? -16/5 Let q = -2388 - -2360.94. Let h = q + 27. Let t = -1.06 - h. Which is the third smallest value? (a) -0.4 (b) t (c) -2/11 c Let x = 0.1 + 0.04. Suppose c + 4 = -f, 12*f - 15*f = -c - 4. What is the biggest value in x, 0.4, 3/2, c? 3/2 Let w = 0.0453 - -1.8247. Let f = 1.7 - 2.57. Let j = w + f. What is the third biggest value in 2, -1/10, 6, j? j Let a = 4468/4625 - 114/125. What is the biggest value in a, -1, -11? a Let p = -1.5934 - -0.1934. Which is the fifth smallest value? (a) 1/3 (b) p (c) 4 (d) 3/2 (e) 5 e Suppose 3*z + 5*y = 319, -8*y + 420 = 4*z - 4*y. Which is the second smallest value? (a) z (b) 1/6 (c) -0.1 b Let h = -1.45 - -8.15. Let s = 48.7 - h. Let b = -41.5 + s. What is the second biggest value in -5, b, -0.2? -0.2 Let w be 1792/5984 + (-18)/153. Let s = -2.1 - -0.1. Let o = 2 + -5. Which is the third smallest value? (a) w (b) o (c) s (d) 4 a Let p be (-14)/(-11 - -67)*(1 - -1). Which is the second smallest value? (a) -38 (b) p (c) 3/7 b Let c = 144 + -141. Suppose -2*l + 13*j - 11*j = 8, 2*j = c*l + 16. Let y = 0.3 + -0.1. What is the third biggest value in -2, y, l? l Let i = 3.6515 - 1.6515. Let r = -0.21 - -0.01. Let m = r - -0.7. Which is the third smallest value? (a) m (b) 12 (c) i b Let q = 11 - 11.5. Let t = 4.5 - q. Let l = -0.82322 + -0.17678. Which is the biggest value? (a) 0.7 (b) l (c) -5 (d) t d Let x = -4910.5 - -4910. What is the second smallest value in -5, -3, x, 0.4, -2/3? -3 Let s = 1119 + -576. Let x = 543.5 - s. Let m = 37/3 - 12. Which is the third biggest value? (a) 18 (b) m (c) x b Suppose 113*d = 116*d + 6. Let q be (d/(-3) - 0) + (-39 - -38). Let t be (-105)/33 + 2/11. What is the third smallest value in -1, q, 0.3, t? q Let b = -39.39 - -35.89. What is the second smallest value in -3, b, 6? -3 Suppose -3*f + 7*f + 2761 = l, -3*f + 13874 = 5*l. Suppose 12*x = -251 - l. Let u be 2/11 - x/(-297). Which is the smallest value? (a) -3/8 (b) 12 (c) u c Let q = -386 - -389. Suppose 0 = 4*k - 3*v - 13, 2*v + 6 = q*k - 3. Let p = -5.6 - -6. What is the smallest value in p, -2/3, k, 4/3? -2/3 Let a = -71 + 66. Let r = a - 3. Let y = 1008/8279 - 2/487. What is the second smallest value in y, 0, r? 0 Let l = -0.29 - -0.29. Suppose 2*s = 3*i + 3*s + 10, -5*s = -2*i + 16. Let p = -3.93 - 0.07. Which is the third smallest value? (a) 0.3 (b) p (c) i (d) l d Let i = 853 + -357. Let a = 495.89 - i. Let b = -79/705 - 1/47. What is the second biggest value in a, 1/2, b? a Suppose 5*m + 108 = 14*m. Suppose 2*y + y + m = 0. Let x = -58.1 + 58.4. What is the second smallest value in y, -2/19, 1/4, x? -2/19 Let a = -22509 + 22509.4. What is the smallest value in a, -3, -5, 4/3, 2? -5 Let j = -3432 + 3429. What is the second smallest value in -2/5, j, 0, -353, -1? j Let t = -75 + 81.2. Let o = -7 + t. Let f be 2394/(-589) - (-1 + (-87)/(-93)). What is the third smallest value in f, o, 0.1, -2/5? -2/5 Let u = -2046/17 - -47092/391. What is the second biggest value in 0.23, 0, u, 0.17, -1/6? 0.17 Let g = 0.0734 - 2.0734. Which is the third smallest value? (a) -4 (b) -1/4 (c) -0.1 (d) g b Let n = -1 - -2. Suppose -1 = 2*u - v, 0 = 20*u - 15*u - 8*v - 14. What is the second smallest value in u, -5/2, n? u Let l be (-2054)/960 - (-14)/(-21)*-3. Let r be (-6)/20*(-2)/96. Let z = l + r. What is the third biggest value in 1/5, 0.3, -2/3, z? z Let u be ((-115)/(-230))/((-2)/12). Which is the third biggest value? (a) 0.5 (b) -0.1 (c) u (
{ "pile_set_name": "DM Mathematics" }
522260610438 What is 4804940 - 37759445? -32954505 What is -356130 plus 84784? -271346 What is -9 plus -23831737312.9? -23831737321.9 What is -0.12 take away -16121747750? 16121747749.88 What is -0.12872 less than -115699905? -115699904.87128 What is 0.093832607831 plus 6? 6.093832607831 Calculate 2 - -4.10353402400505. 6.10353402400505 What is 1482295118 plus 177365? 1482472483 Work out -1687.4656 - 768982. -770669.4656 Put together 1170034 and -1157.76647. 1168876.23353 Calculate 330 - -40594879. 40595209 Total of -104.735 and 91.097. -13.638 What is 299523851 less than 461993? -299061858 411 - 6991288284 -6991287873 What is -2644785264 - 279? -2644785543 Total of 0.178943 and -9219.7. -9219.521057 What is -2731.85363 minus 185009? -187740.85363 Calculate 5.2938 + -116.05576635. -110.76196635 421207608+0.39 421207608.39 Add 9 and -110.080780130819. -101.080780130819 Sum 37005 and -3468364. -3431359 Add 0.5 and -407.56297473. -407.06297473 Add together 6 and 5010948278904. 5010948278910 What is 3958329673 + -0.013? 3958329672.987 Sum -239989783.32382 and -2. -239989785.32382 What is -4754750508 take away -0.4? -4754750507.6 Work out -92.75 + -3803818790. -3803818882.75 What is -67.655984121 - 19? -86.655984121 Subtract 0.04080256 from -4936603. -4936603.04080256 26470486527 - -0.1 26470486527.1 What is the difference between -138860485 and 0.05? 138860485.05 Work out -84613441188 + 0.222. -84613441187.778 What is the difference between -818.37069 and -45.61113? 772.75956 Work out 1592624974 - -0.10765. 1592624974.10765 What is the difference between -1.05233131016 and 9.2? 10.25233131016 What is 4.8 less than -37389539070? -37389539074.8 Put together -2695511680436 and 0.06. -2695511680435.94 What is the distance between -0.0835 and -40825321.5? 40825321.4165 Add -0.6 and -76193776.579. -76193777.179 Add -255939 and -8353537.9. -8609476.9 What is 0.1 take away -457.19500659676? 457.29500659676 -1789+-333934944424 -333934946213 What is the difference between -4 and -0.1017606339? 3.8982393661 Calculate 5390.9 - 1878.82817. 3512.07183 Subtract -23562717449 from -2145. 23562715304 What is 466 + 2291138.3684? 2291604.3684 -1.17 - -11734477518464 11734477518462.83 Total of -1 and -5811870.2509. -5811871.2509 -66233644 + 24.01 -66233619.99 Calculate 8 + 24.827923722. 32.827923722 Work out -342381458423 - -84. -342381458339 Put together 4.55026700586 and 1. 5.55026700586 What is the distance between -16278146931 and 193? 16278147124 What is -18.3 - -5838354264167? 5838354264148.7 What is 2.8704907 less than -21.11? -23.9804907 Calculate -0.5 - 19620953931. -19620953931.5 Work out -14296877571 - 1.7. -14296877572.7 What is -13102.864965 take away 0.3? -13103.164965 What is -20.3992897 less than -2025.132? -2004.7327103 Total of 187 and 132.3877726. 319.3877726 Put together 2.20515209 and 267.677. 269.88215209 What is -20.1303483 take away 37146? -37166.1303483 Sum -588060.26476 and 1. -588059.26476 Put together 21734 and 0.0305012659. 21734.0305012659 Sum 4438836 and 139646. 4578482 0.00687 + -2468.156086 -2468.149216 Work out 579 + 221848540857. 221848541436 -0.5 + -0.005070698707 -0.505070698707 Total of 139971 and 1194482624. 1194622595 What is -5656949 - -1.808907? -5656947.191093 -43.5009944913 + 0.66 -42.8409944913 Total of 952666541 and 67.12. 952666608.12 1278248.6+-0.3373 1278248.2627 What is -880958202 take away -0.285122? -880958201.714878 What is -3 minus 43883500894? -43883500897 What is -3.5 plus 8572503.811707? 8572500.311707 Add together -17 and 886282356350. 886282356333 Work out 2889431 - 31.037076. 2889399.962924 What is -0.6 + -0.21570945789? -0.81570945789 Work out 37952372 - -7271.9. 37959643.9 Total of -0.08938 and 19348487. 19348486.91062 0.21 - -73716702804 73716702804.21 What is 528.334499891 take away 9? 519.334499891 What is 0.11 minus -2379826198088? 2379826198088.11 What is 27.9 take away 96729555499? -96729555471.1 Work out -664889885635 + 338. -664889885297 Work out -1058588837 - -972. -1058587865 What is 2224215.1812 less than -1.3? -2224216.4812 What is 153 + 95250.180408? 95403.180408 Add together -0.028 and -181933815952. -181933815952.028 Put together -104.138 and 2504923.7. 2504819.562 What is 109453.530104 plus 4? 109457.530104 Subtract 0.28443 from 0.0399455547. -0.2444844453 What is the distance between -4067889849 and -1.2211? 4067889847.7789 Subtract 1 from -4214470487268. -4214470487269 Add -0.4 and -0.4252874502638. -0.8252874502638 What is -0.000660948726 minus 4? -4.000660948726 What is the distance between -1401752521 and 392.283? 1401752913.283 -0.0419+-891355481 -891355481.0419 Put together -1063 and -30459773. -30460836 Add together 906237865 and 0.279348. 906237865.279348 -0.22358+8023041 8023040.77642 826990502 + 265 826990767 -2.71588151 - 563 -565.71588151 Add -245924 and 1.19938. -245922.80062 0.4515618 - -7439.7 7440.1515618 Calculate -16 + 2085536336. 2085536320 What is the distance between 116984.6 and -149465.739? 266450.339 Work out -7377912 - 129.451382. -7378041.451382 What is -0.5 plus 9404363199614? 9404363199613.5 556455664666689+0.4 556455664666689.4 7277885 - -424.8323 7278309.8323 Sum -43793595 and -61988.3. -43855583.3 Subtract -1.380979 from 96738.9. 96740.280979 Add 2216.9845729 and 24. 2240.9845729 What is -5145244840 less than 2.4381? 5145244842.4381 -85.18557478316 - -0.5 -84.68557478316 Put together -0.7 and -7076948752525. -7076948752525.7 What is the distance between 29 and -5464617572? 5464617601 0 - -99080.722494129 99080.722494129 What is 171.6 less than 43824994? 43824822.4 What is -87 plus 34906586319? 34906586232 What is -373.63064965206 minus -4? -369.63064965206 0.02695+-1053262795 -1053262794.97305 Calculate -17156 - -3525217474.6. 3525200318.6 Total of 252553765 and -62.1. 252553702.9 What is 1141161746 plus -10? 1141161736 Total of 1.327 and -11128429858. -11128429856.673 Calculate -261539.8 - 7498. -269037.8 What is 87072337 - -286.7? 87072623.7 What is 0.56 + 15483.791931? 15484.351931 -1352100220 + -170.6 -1352100390.6 Sum -1901.9 and 37093395. 37091493.1 Put together 20333360214.75 and -0.2. 20333360214.55 Work out 0.2 + -8725.1913542049. -8724.9913542049 What is 402491999 less than -393121? -402885120 Put together -0.2 and -53.43457828067. -53.63457828067 What is the distance between 0.22440388 and -57.753? 57.97740388 -32.028 + -37333916 -37333948.028 Add 9.9725708849 and -5.2. 4.7725708849 What is the difference between -11044273183370 and -1? 11044273183369 -5455 - -541048669 541043214 Subtract -334197266 from 28.93. 334197294.93 Put together -60380.2348900962 and 4. -60376.2348900962 Work out 106 + -213007.9545. -212901.9545 Work out -0.3 - 426.2802346. -426.5802346 -62399150.941 + 0.22 -62399150.721 Calculate 7494109294.66 + -1. 7494109293.66 What is -283460 - 18944660? -19228120 Calculate -0.2 + -166807559450538. -166807559450538.2 Add together -2 and 4321968.9009. 4321966.9009 Add 24169 and -0.15801085. 24168.84198915 Put together -70817043 and 63.3085. -70816979.6915 Put together -18792645 and -0.639. -18792645.639 Subtract -61408984 from -1199. 61407785 What is the difference between -3 and -184.46353904613? 181.46353904613 -0.88671+-14791870 -14791870.88671 Calculate -162838150 - 62.999. -162838212.999 What is the distance between 1.3508618704 and 0.3? 1.0508618704 Total of -2355582218 and 1.18. -2355582216.82 What is -1.102 plus 4676648455? 4676648453.898 Work out 295771 + -0.0498589. 295770.9501411 Subtract -60 from 19825214.6565. 19825274.6565 Work out 1632 - 278424695. -278423063 What is 2120264 - 3272584? -1152320 Calculate -0.3 - 18088155411. -18088155411.3 What is the difference between 12.253 and -3156038538? 3156038550.253 Put together -6612878572019.72 and 0.3. -6612878572019.42 Calculate 8.394 - 15611942. -15611933.606 Sum 0.164288176818 and 0.61. 0.774288176818 What is -5948456805 minus 1.1? -5948456806.1 What is 2244.434294 take away -10454? 12698.434294 Add together -27211 and -59.8343. -27270.8343 67310 + -23945527 -23878217 What is -0.103972 take away 256066? -256066.103972 Add together 2123158674 and 370. 2123159044 What is -0.1901 take away 56294695? -56294695.1901 0.1 + 10425792513 10425792513.1 -3110872014347 - 3 -311087201
{ "pile_set_name": "DM Mathematics" }
st one hundred thousand. -200000 Let r = -0.13 + 7.13. Let s = -8.75 + r. What is s rounded to 1 dp? -1.8 Let u = -5240896 - -5240856.00027. Let t = u + 40. Round t to four decimal places. 0.0003 Let b = 78.5 - 65. Let k = b + -13.4843. What is k rounded to three dps? 0.016 Let f(h) = 14*h**2 - 4*h. Let x be f(-14). Suppose -2*j + j - x = 0. What is j rounded to the nearest one thousand? -3000 Let o(h) = -h + 5400000. Let a(v) = -v**3 + 2*v**2 - 1. Let n be a(2). Let x = n - -1. Let t be o(x). Round t to the nearest one million. 5000000 Suppose -4*n = 5*y - 30, n - 19 = -2*y - 2*n. Let p(i) = 3*i**y + 900174 + 2799826 - 4*i**2. Let k be p(0). What is k rounded to the nearest one million? 4000000 Let v = -12859442651.99999941 - -12859442765. Let d = -113 + v. What is d rounded to 7 decimal places? 0.0000006 Let r = -209045 + 209036.000128. Let z = 9 + r. What is z rounded to 5 decimal places? 0.00013 Let d = 1 + -0.996. Let n = -54.004 + d. Let s = 50.7 + n. What is s rounded to zero dps? -3 Let w = 16 - 16.11. Let y = -0.13 - -0.41. Let l = y - w. Round l to 1 dp. 0.4 Let u = 61994 + -114579. Let h = u + 52500.053. Let b = 85 + h. Round b to 2 decimal places. 0.05 Let p = 15 + -9. Suppose 2*n = -0*n. Suppose n = -4*d + p*d - 8600000. Round d to the nearest one million. 4000000 Let o = -0.2 - -7.2. Let z = -143109619.9999919 + 143109613. Let v = z + o. What is v rounded to 6 dps? 0.000008 Let x = 0.1 + -1.1. Let f = -0.51 - x. What is f rounded to 1 dp? 0.5 Let q = -68.00679 - -68. What is q rounded to three decimal places? -0.007 Let l = 1.52 - 1.6. Let t = -0.0759 - l. What is t rounded to three dps? 0.004 Let v(c) = -48*c + 10. Let y be v(-10). What is y rounded to the nearest 100? 500 Let k = 25.1 - -3.9. Let z = k - 28.99956. Round z to four decimal places. 0.0004 Let i = 1691.000943 - 1691. Round i to 4 dps. 0.0009 Let i = -166.25 + -3.75. Let h = -30404945 + 30404774.99893. Let p = h - i. What is p rounded to four decimal places? -0.0011 Let b = -5 - -2.11. What is b rounded to zero decimal places? -3 Let j = 0 + 0. Let t = j + -4. Let n = t + 3.957. What is n rounded to two dps? -0.04 Suppose p = -2*p + 102. Suppose 0 = i - 45 - p. Round i to the nearest ten. 80 Let h = -21.1 - 1.9. Let i = h + 22.9925. What is i rounded to 3 dps? -0.008 Let k = 6.866248 - -0.023552. Let m = k + -6.9. Round m to 3 decimal places. -0.01 Let l = 169 - 160.9. What is l rounded to the nearest integer? 8 Let i be ((-2)/(-4))/((-3)/(-42)). Let u = i + -4. Suppose -u*o = 2*o + 545. What is o rounded to the nearest ten? -110 Let y = 5246482 + -3548481. Suppose -w + 3000005 = 3*p, 2*p - 2*w - 301989 = y. Round p to the nearest one million. 1000000 Let f be (6 - 5)/(2/4). Suppose f*t = -2*x + 74, 2*t = -0*x + x - 25. Let z be 0 - (7*x - 1). Round z to the nearest one hundred. -200 Suppose -3*x + 59677 - 533677 = 0. Round x to the nearest ten thousand. -160000 Let q = 12.4 + -2.2. Let x = q - 0.2. Let s = x - 10.0000092. Round s to 6 dps. -0.000009 Let c = 35868 - 35867.601362. Let u = -0.10133 - c. Let v = 0.5 + u. Round v to 5 dps. 0.00003 Let g = 143364952.0999973 + -143364958. Let v = -5.9 - g. What is v rounded to six dps? 0.000003 Let m = -239.762 - -240. Let t = 173.818 - m. Let p = t + -172. Round p to one dp. 1.6 Let g be (-64)/(-6)*(0 - 45/(-2)). Round g to the nearest one hundred. 200 Let n = -18.2 - -30.1. Let u = n + -10.71. Let l = u - 1.1900158. Round l to six decimal places. -0.000016 Let s(q) = 3*q**2 + 3 - 3 + 6*q + 417*q**3. Let f be s(-6). What is f rounded to the nearest 10000? -90000 Let p = 30677 + -30675.99928. Let z = 1 - p. What is z rounded to four dps? -0.0007 Let q = -2167 - -7847. Suppose -3*f + q = -7*f. What is f rounded to the nearest one hundred? -1400 Let b = -9 + 8.7. Let v = 0.29896 + b. Round v to 4 decimal places. -0.001 Let i = 0.025 - 9.225. What is i rounded to the nearest integer? -9 Let y = 0.01 + -0.01. Let m = 5 - y. Let s = 5.00000064 - m. Round s to seven decimal places. 0.0000006 Let p = 30.5 - 39. Let q = p - -8.500067. Round q to five decimal places. 0.00007 Let i = -21 - -21.34. Let b = 0.049 + -7.209. Let x = b - i. Round x to the nearest integer. -8 Let z = 1795 - 765. Round z to the nearest 100. 1000 Suppose -2*q - 280008 = 4*m, -25445 = m + q + 44559. Round m to the nearest 100000. -100000 Let x = 12 - 38. Let p = 25.3914 + -0.1114. Let v = x + p. Round v to one dp. -0.7 Let q = 10.59999949 + -10.6. Round q to 6 decimal places. -0.000001 Let n = -0.1 - 0.04. Let f = 4.34 + n. Let a = f + -2.5. What is a rounded to zero dps? 2 Let c = -13.6 - -77.6. Let a = c - 63.999934. Round a to 5 decimal places. 0.00007 Suppose 5*s - 3*i = 21 + 10, 2*s + 3*i = 4. Suppose -s*a = -3*c + 5*c + 38999994, -31199985 = 4*a + 5*c. Round a to the nearest one million. -8000000 Let f be (-3427100)/(-24) - 1/(-6). Suppose 0 = 2*g + 2*q - 22790 + f, 2*q = 3*g + 179994. What is g rounded to the nearest one hundred thousand? -100000 Let b(c) = c**2 - 4*c - 8. Let a be b(6). Let m(l) = 65001*l**2 - 3*l - 4. Let i be m(a). What is i rounded to the nearest one hundred thousand? 1000000 Let h = 0.106 + -62.106. Let o = -18.867054 - -80.867112. Let q = o + h. What is q rounded to five dps? 0.00006 Let o = 13.72 - 14. Let n = o - -0.28000052. What is n rounded to 7 decimal places? 0.0000005 Let q = 74 - 74.000111. What is q rounded to five decimal places? -0.00011 Let k = 40.02 - 0.02. Let d = 36.8 - k. What is d rounded to 0 decimal places? -3 Let k = -92 - -91.999935. Round k to 4 dps. -0.0001 Suppose -23 = 2*p - 59. What is p rounded to the nearest 10? 20 Suppose -4*i + 6*i = 3*x - 11488, 3*x - 4*i - 11486 = 0. Round x to the nearest one hundred. 3800 Let k = 0.462 - -46.938. What is k rounded to the nearest integer? 47 Let r be 43400006/14 + 6/(-14). Round r to the nearest one million. 3000000 Let t = 41978 - 64678. Round t to the nearest one thousand. -23000 Let w = 51.59 - 51. Let m = -960847 + 960847.590023. Let t = w - m. What is t rounded to five dps? -0.00002 Suppose -4*p - 20429 = 41971. Round p to the nearest one thousand. -16000 Let z = 1.5909 + -1.6. What is z rounded to three dps? -0.009 Let d(h) = -2*h - 6. Let p be d(-4). Let a(l) = 1 - p + 145112*l - 565113*l. Let n be a(-1). What is n rounded to the nearest 100000? 400000 Suppose 4*i + i = 15. Suppose 0 = q + 2*q + i. Let s be 3900 - (-4 - q - -3). What is s rounded to the nearest one thousand? 4000 Let g(q) be the first derivative of -23*q**2 - q + 1. Suppose -5*u = -5, 2*u = -2*w + 5*u - 1. Let v be g(w). What is v rounded to the nearest 10? -50 Let u(k) = 132*k**3 - 4*k**2 - k. Let g be u(-4). Let a be g/(-1) + 4 + -2. Let i = -1410 + a. Round i to the nearest one thousand. 7000 Let l = 3 - 6. Let g = -3.0000002 - l. Round g to 6 dps. 0 Let p(w) = w**3 - w**2 - w - 100000. Let y = 16 - 27. Let o(j) = -j**3 - 10*j**2 + 12*j + 11. Let x be o(y). Let m be p(x). Round m to the nearest 100000. -100000 Let s = -47832441.67214334 + 47832445. Let x = -0.32785606 + s. Let v = x - 3. What is v rounded to 6 dps? 0.000001 Let g(h) = -h**2 + 1380. Let s be g(0). Suppose m - s = 4*m. Round m to the nearest one hundred. -500 Let b = -0.53 + 0.606. Round b to two dps. 0.08 Let m be 3/(-9) - (-1078)/(-6). Let f = -260 - m. What is f rounded to the nearest 100? -100 Let p = 2 - 5. Let a be 1160003/(-4) + p/(-4). What is a rounded to the nearest 100000? -300000 Let f = -135.9594 + 136. Round f to 2 decimal places. 0.04 Let a = 128.259972 + -128.2. Let h = a - 0.06. What is h rounded to five dps? -0.00003 Let z be (-7)/28 + 259/(-4). What is z rounded to the nearest 10? -70 Let c(z) = -3*z + 1. Let a be c(-5). Let n be (108/a)/((-3)/40). What is n rounded to the nearest 100? -100 Let o = -0.05 - 0. Let z = -0.05000044 - o. Round z to seven dps. -0.0000004 Let u = -0.5 - 0.5. Let l = u + 0.999922. What is l rounded to five dps? -0.00008 Let h = -0.9 + -1.1. Let w = -1.99884 - h. Round w to 4 decimal places. 0.0012 Let z = 4.049 + -4. Let p = -0.048897 + z. What is p rounded to 5 dps? 0.0001 Let m = -2 - -3.6. Let s = m - 1.5999983. Round s to six dps. 0.000002 Let f = -37.9 - -23.2. Let k = 30.3 + f. Round k to the nearest integer. 16 Let c = -2.365 - -2.02. Round c to 2 dps. -0.35 Let
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 2145410 is divided by 87? 77 Calculate the remainder when 1981 is divided by 108. 37 Calculate the remainder when 3443 is divided by 240. 83 What is the remainder when 4349 is divided by 98? 37 What is the remainder when 646597 is divided by 26941? 13 Calculate the remainder when 28245 is divided by 264. 261 What is the remainder when 10661 is divided by 817? 40 Calculate the remainder when 460986 is divided by 69. 66 Calculate the remainder when 1754 is divided by 799. 156 Calculate the remainder when 83381 is divided by 31. 22 What is the remainder when 20759 is divided by 10332? 95 What is the remainder when 358 is divided by 45? 43 Calculate the remainder when 51843 is divided by 25919. 5 Calculate the remainder when 14388 is divided by 24. 12 Calculate the remainder when 242 is divided by 31. 25 Calculate the remainder when 850232 is divided by 12146. 12 What is the remainder when 2420 is divided by 171? 26 What is the remainder when 14643 is divided by 33? 24 Calculate the remainder when 78809 is divided by 417. 413 Calculate the remainder when 671 is divided by 587. 84 What is the remainder when 11282 is divided by 5? 2 What is the remainder when 31066 is divided by 47? 46 Calculate the remainder when 6351 is divided by 59. 38 Calculate the remainder when 203893 is divided by 70. 53 What is the remainder when 13668 is divided by 95? 83 What is the remainder when 8881 is divided by 740? 1 What is the remainder when 974 is divided by 117? 38 Calculate the remainder when 4133 is divided by 1096. 845 What is the remainder when 16059 is divided by 11? 10 Calculate the remainder when 10737 is divided by 482. 133 Calculate the remainder when 17121 is divided by 16940. 181 What is the remainder when 1142 is divided by 7? 1 Calculate the remainder when 54355 is divided by 246. 235 What is the remainder when 23221 is divided by 230? 221 What is the remainder when 123434 is divided by 9? 8 Calculate the remainder when 19484 is divided by 6487. 23 Calculate the remainder when 7998 is divided by 86. 0 Calculate the remainder when 14402 is divided by 14378. 24 What is the remainder when 4247 is divided by 83? 14 Calculate the remainder when 12609 is divided by 4201. 6 What is the remainder when 14656 is divided by 533? 265 What is the remainder when 104756 is divided by 72? 68 What is the remainder when 194409 is divided by 119? 82 What is the remainder when 36633 is divided by 2564? 737 What is the remainder when 95448 is divided by 632? 16 What is the remainder when 2092 is divided by 1744? 348 What is the remainder when 38014 is divided by 352? 350 Calculate the remainder when 15516 is divided by 184. 60 What is the remainder when 9195 is divided by 858? 615 Calculate the remainder when 15710 is divided by 1963. 6 What is the remainder when 1508 is divided by 751? 6 Calculate the remainder when 2426139 is divided by 1780. 1779 Calculate the remainder when 136185 is divided by 388. 385 What is the remainder when 11210 is divided by 861? 17 What is the remainder when 16457 is divided by 1239? 350 Calculate the remainder when 2162 is divided by 809. 544 Calculate the remainder when 6053 is divided by 242. 3 Calculate the remainder when 684631 is divided by 136924. 11 What is the remainder when 38372 is divided by 17? 3 What is the remainder when 134470 is divided by 431? 429 What is the remainder when 1811 is divided by 913? 898 What is the remainder when 34140 is divided by 8? 4 Calculate the remainder when 15768 is divided by 88. 16 Calculate the remainder when 13375 is divided by 100. 75 What is the remainder when 38057 is divided by 97? 33 Calculate the remainder when 3940 is divided by 107. 88 What is the remainder when 41422 is divided by 3179? 95 Calculate the remainder when 23372 is divided by 33. 8 What is the remainder when 4275 is divided by 201? 54 Calculate the remainder when 44321 is divided by 554. 1 What is the remainder when 7237 is divided by 51? 46 What is the remainder when 20452 is divided by 330? 322 What is the remainder when 26695 is divided by 297? 262 What is the remainder when 8369 is divided by 1592? 409 Calculate the remainder when 4698 is divided by 426. 12 Calculate the remainder when 3033 is divided by 1007. 12 Calculate the remainder when 8980 is divided by 997. 7 What is the remainder when 120117 is divided by 24? 21 What is the remainder when 2066 is divided by 15? 11 What is the remainder when 6235 is divided by 253? 163 Calculate the remainder when 15642 is divided by 284. 22 What is the remainder when 117849 is divided by 58908? 33 Calculate the remainder when 173573 is divided by 57839. 56 Calculate the remainder when 8866 is divided by 1308. 1018 What is the remainder when 4959 is divided by 333? 297 Calculate the remainder when 21556 is divided by 98. 94 Calculate the remainder when 1805 is divided by 275. 155 What is the remainder when 631565 is divided by 72? 53 What is the remainder when 511605 is divided by 53? 49 Calculate the remainder when 114631 is divided by 92. 91 What is the remainder when 193222 is divided by 20? 2 What is the remainder when 3597 is divided by 1785? 27 Calculate the remainder when 1009 is divided by 298. 115 Calculate the remainder when 20739 is divided by 1308. 1119 Calculate the remainder when 35843 is divided by 87. 86 Calculate the remainder when 7144 is divided by 723. 637 Calculate the remainder when 7620 is divided by 949. 28 What is the remainder when 621785 is divided by 33? 32 Calculate the remainder when 214082 is divided by 139. 22 What is the remainder when 4914 is divided by 2280? 354 Calculate the remainder when 362111 is divided by 257. 255 Calculate the remainder when 14114 is divided by 5. 4 Calculate the remainder when 19417 is divided by 56. 41 Calculate the remainder when 17797 is divided by 635. 17 What is the remainder when 4797 is divided by 243? 180 Calculate the remainder when 1444 is divided by 65. 14 What is the remainder when 402924 is divided by 15? 9 Calculate the remainder when 1335576 is divided by 67. 65 Calculate the remainder when 134877 is divided by 24. 21 What is the remainder when 18211 is divided by 314? 313 What is the remainder when 245557 is divided by 70? 67 What is the remainder when 33926 is divided by 203? 25 Calculate the remainder when 203452 is divided by 22. 18 What is the remainder when 716397 is divided by 225? 222 Calculate the remainder when 332 is divided by 255. 77 Calculate the remainder when 7750 is divided by 430. 10 Calculate the remainder when 6117 is divided by 371. 181 What is the remainder when 52985 is divided by 186? 161 What is the remainder when 1393 is divided by 1110? 283 What is the remainder when 12984 is divided by 173? 9 Calculate the remainder when 3901 is divided by 969. 25 What is the remainder when 4473 is divided by 112? 105 Calculate the remainder when 51531 is divided by 51519. 12 Calculate the remainder when 5570 is divided by 136. 130 What is the remainder when 327513 is divided by 49? 46 Calculate the remainder when 10114 is divided by 5016. 82 Calculate the remainder when 2950 is divided by 157. 124 Calculate the remainder when 224396 is divided by 643. 632 What is the remainder when 4596 is divided by 203? 130 Calculate the remainder when 83967 is divided by 347. 340 What is the remainder when 3316 is divided by 53? 30 Calculate the remainder when 10556 is divided by 192. 188 Calculate the remainder when 1152799 is divided by 731. 12 What is the remainder when 351221 is divided by 23414? 11 Calculate the remainder when 26880 is divided by 1787. 75 Calculate the remainder when 6600 is divided by 1319. 5 Calculate the remainder when 69089 is divided by 47. 46 Calculate the remainder when 86402 is divided by 347. 346 Calculate the remainder when 24916 is divided by 134. 126 What is the remainder when 1574 is divided by 1486? 88 Calculate the remainder when 35037 is divided by 2167. 365 What is the remainder when 29310 is divided by 143? 138 Calculate the remainder when 17713 is divided by 197. 180 What is the remainder when 6152 is divided by 34? 32 What is the remainder when 2800 is divided by 2005? 795 What is the remainder when 1902 is divided by 99? 21 What is the
{ "pile_set_name": "DM Mathematics" }
be a(0). What is the first derivative of -u + 7 + 1 + m**4 wrt m? 4*m**3 Let g(r) = 10*r**2 - 5*r - 23. Let n(f) = 9*f**2 - 4*f - 22. Let j(k) = 4*g(k) - 5*n(k). Differentiate j(b) with respect to b. -10*b Find the third derivative of -5*q**4 + 7*q**2 - q**4 - 2*q**2 + 0*q**4 wrt q. -144*q Let g be (-8)/(-14)*(-21)/(-6). What is the derivative of -g + 5*i - 14*i + 2*i wrt i? -7 Let y(f) = 14*f**5 + 2*f**4 + 2*f**3 - f - 2. Let b(o) = 14*o**5 + 3*o**4 + 3*o**3 - 3. Let v(i) = -2*b(i) + 3*y(i). Find the second derivative of v(j) wrt j. 280*j**3 What is the third derivative of -707*s**2 + 0*s**6 + 15*s**6 + 695*s**2 wrt s? 1800*s**3 Let g(h) be the first derivative of -h**3 + 4/5*h**5 + 0*h**4 + 0*h + 0*h**2 - 5. What is the third derivative of g(m) wrt m? 96*m Let m(g) be the first derivative of -g**5/5 + 10*g**3/3 - 5. Let d(p) = -p**2. Let o(u) = 22*d(u) + 2*m(u). Find the third derivative of o(l) wrt l. -48*l Let m(x) be the second derivative of 5*x**3/6 - 3*x**2/2 + 4*x. Find the first derivative of m(c) wrt c. 5 Let z(g) = -11*g**2 + 46*g - 6. Let l(a) = -21*a**2 + 93*a - 13. Let i(d) = 6*l(d) - 13*z(d). Find the second derivative of i(y) wrt y. 34 Suppose 0*w + 3 = w. Find the second derivative of -3*g**3 + 4*g + 4*g**w - 6*g + 3*g wrt g. 6*g Let t(h) be the first derivative of -3 - 5/3*h**3 - 1/2*h**2 + 0*h. What is the second derivative of t(a) wrt a? -10 What is the third derivative of -12*w**2 - 3*w**2 + 9*w**5 - 22*w**5 wrt w? -780*w**2 Let o(d) be the first derivative of -d**6/10 + 5*d**3/6 + 2*d + 7. Let c(u) be the first derivative of o(u). What is the second derivative of c(m) wrt m? -36*m**2 Let j(q) = -q**2 + q + 1. Let g(r) = -3*r**2 + 4*r + 1. Let t(d) = -g(d) + j(d). Find the second derivative of t(m) wrt m. 4 Let o(c) be the first derivative of 9*c**5/5 - 7*c**2/2 - 1. Find the second derivative of o(z) wrt z. 108*z**2 Let z be 1/4 - (-244)/(-16). Let v be 4/10 - 69/z. Find the second derivative of f**v + f**3 - f - f**3 wrt f. 20*f**3 Let t(q) = 53*q**4 - 7*q**2 + 45*q. Let h(y) = 26*y**4 - 3*y**2 + 23*y. Let g(x) = 7*h(x) - 3*t(x). What is the second derivative of g(d) wrt d? 276*d**2 Let a(g) be the first derivative of g**3/2 + g**2/2 + g + 1. Let h(q) be the first derivative of a(q). Find the first derivative of h(k) wrt k. 3 Let t(r) be the second derivative of r**6/120 + r**4/12 - r**2/2 - 4*r. Let y(m) be the first derivative of t(m). What is the second derivative of y(b) wrt b? 6*b Let h(n) = -n**3 + n**2 + n + 1. Let a(t) = -34*t**3 + 17*t + 17. Let f(j) = a(j) - 17*h(j). What is the third derivative of f(r) wrt r? -102 Let k(l) = -2*l - l + l. Let z be k(-2). Find the first derivative of -4 + z + 3 + f**4 wrt f. 4*f**3 Let m = -299/6 + 50. Let f(n) be the second derivative of 0*n**2 + 0*n**5 + 0 - m*n**4 - 1/30*n**6 + 2*n + 0*n**3. What is the third derivative of f(s) wrt s? -24*s Let n = 8 + -4. Suppose 5 = n*f - l - 9, -f - 4*l + 12 = 0. Find the first derivative of -f + 8 - 2*s - s wrt s. -3 Suppose 0 = -9*l + 13*l - 4. Let i(h) be the first derivative of 4/5*h**5 + 0*h**3 + 0*h**2 + h + 0*h**4 - l. Differentiate i(x) wrt x. 16*x**3 Let d be (-34)/(-2) + 1*-2. Suppose 3*a - 3 - d = -3*p, -4 = -p. Differentiate -a*t**3 + 3*t**3 + 1 + 2*t**3 wrt t. 9*t**2 Let m(p) be the first derivative of 0*p**3 + 0*p**5 + 5/6*p**6 + 0*p**4 + 0*p + 3 - p**2. What is the second derivative of m(d) wrt d? 100*d**3 Let p(k) be the third derivative of -k**9/252 - k**5/15 + 6*k**2. Find the third derivative of p(b) wrt b. -240*b**3 Let y(g) = -1. Let k(b) = -6*b - 19. Let u(d) = k(d) + 4*y(d). Differentiate u(i) with respect to i. -6 Let y(j) be the first derivative of 4*j**3/3 - 3*j**2/2 + 4. What is the second derivative of y(a) wrt a? 8 What is the second derivative of -9 - s - s**5 + 9 + 8*s**5 wrt s? 140*s**3 Let f(j) = 16*j**4 + 4*j**2 + 2. Let r(u) = -16*u**4 - 3*u**2 - 1. Let w(g) = -3*f(g) - 4*r(g). What is the derivative of w(l) wrt l? 64*l**3 Let i = 2 + 1. What is the first derivative of -u**4 - i*u**4 + 0*u**4 + 4 + 0*u**4 wrt u? -16*u**3 Let s(z) be the first derivative of 12*z**5/5 + 31*z + 2. Differentiate s(y) with respect to y. 48*y**3 Let u(i) = -i**2 + 7*i - 12. Let l be u(4). Let x = -2 + 4. Find the second derivative of 2*j + l*j**2 - j**2 + 2*j**2 - 4*j**x wrt j. -6 Suppose 2*z + z = 0. Let r(g) be the second derivative of 0*g**2 + g + z + 1/3*g**3 - 1/6*g**4. Find the second derivative of r(u) wrt u. -4 Find the third derivative of -6*g**6 - 5*g**3 + 5*g**3 - 16*g**2 + 9*g**2 wrt g. -720*g**3 Let m(x) be the second derivative of 7*x**4/12 - 2*x**3/3 - 4*x. What is the second derivative of m(o) wrt o? 14 Let r(y) = y**3 + 6*y**2 - 2*y - 9. Let i be r(-6). Find the second derivative of -o - o**i - o + 6*o - o**3 wrt o. -12*o Find the second derivative of 23*t**4 + 2 - 14*t - 2 + 14*t**4 wrt t. 444*t**2 Let u be (-40)/(-22) - (-2)/11. What is the second derivative of -2*f**2 - 3*f**5 + 3*f + 0*f**5 + 2*f**u wrt f? -60*f**3 Let r(i) be the first derivative of -37*i**3/3 - 55*i**2/2 + 46. What is the second derivative of r(p) wrt p? -74 Let x(k) be the second derivative of 0*k**2 + 0*k**6 + 0 + 0*k**5 + 7/12*k**4 + 0*k**3 - 4*k - 1/42*k**7. Find the third derivative of x(b) wrt b. -60*b**2 Let d = 21 + -12. What is the derivative of 1 + d*k - 2 + 4 wrt k? 9 Suppose -3 = 3*d, -2 = 5*t - d - 23. Suppose -2 = -t*x + 10. Differentiate -4 - 4*h**4 + 3*h**2 + 3 - x*h**2 with respect to h. -16*h**3 Let d(h) be the first derivative of -h**3 - 7*h - 4. Differentiate d(w) wrt w. -6*w Find the third derivative of -2 - 3*r**3 + 4*r**3 - 7*r**2 + 2 wrt r. 6 Let o = -27 - -55/2. Let d(y) be the second derivative of 1/6*y**4 - y + o*y**2 + 0*y**3 + 0. What is the derivative of d(m) wrt m? 4*m Let w(l) = l**6 + 5*l**5 - l**2 + 5*l + 5. Let h(p) = p**6 + 6*p**5 + 6*p + 6. Let x(q) = 5*h(q) - 6*w(q). Find the third derivative of x(b) wrt b. -120*b**3 Let c(q) = 4*q**4 - 3*q**3 + 3*q + 4. Let l(h) = 9*h**4 - 5*h**3 + 5*h + 7. Let b(z) = -5*c(z) + 3*l(z). What is the first derivative of b(g) wrt g? 28*g**3 Let f(s) be the first derivative of s**8/560 + s**5/120 - 2*s**3/3 - 1. Let h(w) be the third derivative of f(w). Find the second derivative of h(g) wrt g. 36*g**2 Let a(p) be the second derivative of 2*p**7/21 - 3*p**3/2 + 12*p. What is the second derivative of a(g) wrt g? 80*g**3 Let i(q) be the first derivative of -2*q**7/105 - 2*q**3/3 - q**2 + 2. Let m(t) be the second derivative of i(t). What is the first derivative of m(c) wrt c? -16*c**3 Let c(o) be the second derivative of -o**6/5 + o**3 + 6*o. What is the second derivative of c(p) wrt p? -72*p**2 Let c(d) = 47*d**4 + 2*d**3 - 2*d**2 - 2*d - 29. Let s(j) = j**4 - j**3 + j**2 + j - 1. Let n(k) = c(k) + 2*s(k). What is the derivative of n(p) wrt p? 196*p**3 Let d(i) = 3*i**2 + 18*i + 5. Let x(a) = -3*a**2 - 19*a - 6. Let k(n) = -6*d(n) - 5*x(n). What is the second derivative of k(w) wrt w? -6 Let j be (-1)/(-3)*3 - -2. Find the first derivative of 0*n**3 - 3 + 0*n**j + n**4 + 4 wrt n. 4*n**3 Let a(s) = 24*s**4 + 18*s + 8. Let q(z) = -8*z**4 - 6*z - 3. Let j(n) = -3*a(n) - 8*q(n). Find the second derivative of j(o) wrt o. -96*o**2 Let s = 0 + 3. Find the second derivative of 3*v**5 - 2*v**5 + 4*v**s - 4*v**3 + v wrt v. 20*v**3 Differentiate t**2 - 10*t**2 - 2 + 13 + 0*t**2 with respect to t. -18*t Let g(t) be the first derivative of -2 + 0*t - t**2 - 1/3*t**3. What is the second derivative of g(s) wrt s? -2 Let u(j) = -3*j**2 - 38. Let w(s) = -s**2 - 13. Let d(x) = -6*u(x) + 17*w(x). Find the first derivative of d(n) wrt n. 2*n Suppose -2*y + 5*t = 11, 0*y - 4*t = 2*y - 16. Find the third derivative of 7*r**6 - 3*r**6 + r**6 + 3*r**y + r**6 wrt r. 720*r**3 Let f(r) = r**2 - 5*r + 2. Suppose 2*p = 5*l, -p - 4*l = l - 15. Let m be f(p). What is the first derivative of m*h**4 - h**4 - 2 + 4 wrt h? 4*h**3 Let h(m) be the first derivative of 13*m**3/3 + 9*m + 13. Differentiate h(q) with respect to q. 26*q Suppose 12 = 2*z - 0*z. Suppose -f - 25 = -z*f. Find the third derivative of 3*q**6 - 3*q**2 - f*q**6 + 2*q**2 wrt q. -240*q**3 What is the second derivative of 69*w**2 - 31*w - 69*w**2 - 6*w**3 wrt w? -36*w Let f(w) = -w - 1. Let z be f(-3). Find the third derivative of -4*p*
{ "pile_set_name": "DM Mathematics" }
-2408*d**3 Find the second derivative of 2*j**3*p**2 - 43*j**3*p - 3*j**2*p**2 - 2*j**2*p - 7815*j*p**2 - p**2 + 46*p wrt p. 4*j**3 - 6*j**2 - 15630*j - 2 What is the derivative of 154*m**2 - 56*m - 76? 308*m - 56 What is the third derivative of -1330058*s**3 - 2*s**2 + 1432*s + 132 wrt s? -7980348 What is the derivative of -205984*r - 112648? -205984 Find the second derivative of -b**3*l**2 - 4411*b**3*l - 15509*l**2 - 13*l wrt l. -2*b**3 - 31018 What is the third derivative of 1012988*d*x**4 - 10*d*x**2 + 47959*d - 2*x**4 wrt x? 24311712*d*x - 48*x Find the second derivative of -9487*b**4 + 63*b**2 - 3524083*b. -113844*b**2 + 126 Differentiate g*x*z**2 - 19*g*x - 86*g*z - 42*g - 70*x*z**2 - x - 2*z**2 - 2 wrt x. g*z**2 - 19*g - 70*z**2 - 1 What is the third derivative of 16*g*n*q**3*r + 3*g*n*q**2*r**2 + 5246*g*q**2*r**2 + 2*g*q*r + 5*g*r**2 + 2757*n*q**3*r**2 wrt q? 96*g*n*r + 16542*n*r**2 What is the first derivative of 7431*k**4 + 16*k - 42137 wrt k? 29724*k**3 + 16 What is the second derivative of -3*l**2*n**2 - 8*l**2*n - 660*l**2 + 87*l*n**2 - l*n wrt n? -6*l**2 + 174*l Find the second derivative of 19716*z**5 + 9676*z. 394320*z**3 What is the derivative of c**3 - 314213*c**2 - 3707922? 3*c**2 - 628426*c Differentiate 42558*d*r + 4*r + 3943 wrt d. 42558*r Find the second derivative of -1002*b**5*m - 3*b**3*m**2 + 7*b*m**2 + 366*b*m - 2*b wrt b. -20040*b**3*m - 18*b*m**2 What is the derivative of -2*j**3*x + 210*j**3 - 6*j*x - 8*j - 5142*x wrt j? -6*j**2*x + 630*j**2 - 6*x - 8 Find the second derivative of 153869*v**3 - 395703*v wrt v. 923214*v What is the third derivative of 1696029*a**4 + a**2 - 1895*a + 10 wrt a? 40704696*a Find the second derivative of 2882814*s*u**4 - 21*s*u - s - 1802*u - 1 wrt u. 34593768*s*u**2 What is the derivative of -4556442*c**2 + 4508411 wrt c? -9112884*c What is the first derivative of -99*m**2 + 655*m - 2517 wrt m? -198*m + 655 What is the third derivative of -39219*d**3*w**4 + 199*d**3*w - 3*d**2*w**6 - 119*d + 2*w**2 - 2 wrt w? -941256*d**3*w - 360*d**2*w**3 What is the second derivative of o*t**2 + 20*o*t + 1367*o - 128029*t**2 - 3*t wrt t? 2*o - 256058 What is the derivative of 9*w**4 + 275*w**2 - 7*w + 614678 wrt w? 36*w**3 + 550*w - 7 What is the second derivative of d**2*l**2 + 5*d**2*l + 36351*d*l**2 + 2*l**2 + 138*l + 29 wrt l? 2*d**2 + 72702*d + 4 Find the third derivative of 124802*l*v**4 - 279*l*v**2 - 3*l*v + v**4 - 1 wrt v. 2995248*l*v + 24*v What is the second derivative of 2*a**5 + 4*a**3 - 175*a**2 + 46963*a wrt a? 40*a**3 + 24*a - 350 What is the second derivative of 416*y**5 + 2*y**4 + 175*y**2 + 770915*y? 8320*y**3 + 24*y**2 + 350 What is the derivative of -d**2*l**3 + 452*d*l**3 - 6*d + 1513*l**3 - 22 wrt d? -2*d*l**3 + 452*l**3 - 6 Find the second derivative of -19018*h**3 - h + 26360 wrt h. -114108*h What is the second derivative of 45724*c**3 - 516*c? 274344*c What is the second derivative of -4*j**3*u + 79*j**3 + 8*j**2*u - j**2 - 11*j*u - 474*j + 1 wrt j? -24*j*u + 474*j + 16*u - 2 What is the second derivative of 14227*c**2 + 3*c + 579? 28454 What is the derivative of -765447*c*o - 47*o + 8469 wrt c? -765447*o Find the second derivative of -345*j**4 - 46*j**3 - 151*j + 886. -4140*j**2 - 276*j What is the derivative of -238028*p**3 + 324968 wrt p? -714084*p**2 What is the second derivative of 31909*q**2*t**2*z + q**2*t**2 + 704*q**2*t*z + q**2*z + 3*q**2 + 3*q*t - 3*q*z + 6*t**2*z wrt t? 63818*q**2*z + 2*q**2 + 12*z Find the second derivative of -3131869*f**5 + f**4 + 5008503*f wrt f. -62637380*f**3 + 12*f**2 Find the third derivative of 15*g**2*j**5 + 5079*g**2*j + 737*j**5 + 3*j**2 wrt j. 900*g**2*j**2 + 44220*j**2 What is the first derivative of -8*b**2*d + 4292*b**2*r + 215*b**2 + 6*d*r + 4*d + 23*r - 1 wrt r? 4292*b**2 + 6*d + 23 Find the third derivative of -1258*y**4 + 18*y**3 + 1773528*y**2. -30192*y + 108 Find the second derivative of 10*g**3*q + 2*g**3*x + 13655*g**3 + g*q*x - 31446*x wrt g. 60*g*q + 12*g*x + 81930*g Find the second derivative of -3413819*g**5*u**2 + 577359*g*u**2 - u**2 wrt g. -68276380*g**3*u**2 What is the third derivative of -267*j**2*l**4 - 8*j**2 + 5*j*l**2 + j*l - 50*l**4 - 2*l**2 - 47*l wrt l? -6408*j**2*l - 1200*l What is the second derivative of -868395*j**2 + j + 124627 wrt j? -1736790 What is the third derivative of -3239320*f*t**3 - 7*f*t**2 - 4*f*t + 9*f + 2*t**2 + 1268 wrt t? -19435920*f What is the third derivative of 146986*q**3 - 348*q**2 - 182*q? 881916 What is the derivative of 202328*u**3 - 242446? 606984*u**2 What is the second derivative of 71783*r**2 - 8230*r + 5? 143566 Find the first derivative of 944975*k**4 + 100624. 3779900*k**3 What is the third derivative of -367385*x**4 + 55828*x**2 + 2*x - 5 wrt x? -8817240*x Find the first derivative of -234*l**3*w + 128*l**3 - 4*l - 1752*w**2 + 250 wrt w. -234*l**3 - 3504*w What is the third derivative of -11*n*r**4*u + 267*n*r**2*u - 27*n*r**2 + 1230*r**5*u wrt r? -264*n*r*u + 73800*r**2*u Find the first derivative of -163022*l + 125549. -163022 What is the first derivative of 5*h*z**2 - 12*h*z - 2*h - 7629*z**2 - z - 4 wrt h? 5*z**2 - 12*z - 2 Find the second derivative of -232*g**4 + 3*g**3 + 232*g**2 - 4*g - 61778 wrt g. -2784*g**2 + 18*g + 464 Find the third derivative of -268*c**4*q**2 - 7*c**4 - 18*c**3*q - c**2*q + 2*q**2 - 22802*q + 1 wrt c. -6432*c*q**2 - 168*c - 108*q Find the first derivative of q**3*t + q**3 + q**2*x**2 - 2*q**2*x + 474*q*t*x - 6610*q*x**2 - 21*t*x**2 wrt t. q**3 + 474*q*x - 21*x**2 What is the second derivative of 3*v**4 + 17112*v**3 + 2*v**2 + 487618*v wrt v? 36*v**2 + 102672*v + 4 What is the derivative of 1590233*w**2 + 2456991? 3180466*w Differentiate -746155*q + 408437 wrt q. -746155 Find the third derivative of 5*c**5 - 24413*c**4 - 256605*c**2 wrt c. 300*c**2 - 585912*c Find the second derivative of -2*b**4 + 4621*b**3*q - b**2*q + 563*b - q - 1 wrt b. -24*b**2 + 27726*b*q - 2*q What is the first derivative of 5941062*w**2 - 5654253? 11882124*w Find the first derivative of -606026*x**2 - 545817 wrt x. -1212052*x Find the first derivative of -338268*n**2 + 260492. -676536*n Differentiate 72*q**3 + 22*q - 118420 wrt q. 216*q**2 + 22 Find the first derivative of 2*r*s**4 - 642*r*s**2 - 46*r*w - r + 168*s*w**2 + 385*w**2 wrt s. 8*r*s**3 - 1284*r*s + 168*w**2 What is the second derivative of -j*q**2*z**2 + 428*j*q*z - j*z**2 + 28*j - 193012*q**2*z**2 - 2*q*z wrt q? -2*j*z**2 - 386024*z**2 What is the third derivative of 30469*f**2*w**3 - 42236*f**2*w**2 wrt w? 182814*f**2 Differentiate 192*z**3 + 99*z + 63367. 576*z**2 + 99 What is the second derivative of 4245*x**2 - 101*x - 59 wrt x? 8490 Differentiate 6*x**3*y + 646*x**3 - 4330*x**2*y**2 - 8*x + 7 wrt y. 6*x**3 - 8660*x**2*y Find the second derivative of -83*v**4 + 110*v**2 + 12013*v. -996*v**2 + 220 Find the second derivative of 5*a*d**2*x**3 + a*d**2*x - 56*a*d**2 + 2*a*d*x**3 - 40*a*x**2 - 2*a - 9 wrt x. 30*a*d**2*x + 12*a*d*x - 80*a What is the third derivative of -5146*h**4*p + 7*h**4 + 19*h**2 - 5*h*p + h + 6*p + 1 wrt h? -123504*h*p + 168*h What is the derivative of -100189*b*d + 4*b - 1781407*d wrt b? -100189*d + 4 Find the first derivative of -18676*k**3 + k - 2536 wrt k. -56028*k**2 + 1 What is the derivative of -72428*o**2 - 10186? -144856*o What is the third derivative of 13019*l**4 - 19901*l**2? 312456*l What is the third derivative of -176*b**4*t**3 - 26*b**3*j*t + 6*b**2*j*t + 11*b*t**3 - 563*j wrt b? -4224*b*t**3 - 156*j*t Find the second derivative of 2*f**5*u - 3416*f**5 - 1082*f*u + 18*u wrt f. 40*f**3*u - 68320*f**3 Find the third derivative of 23810*j**6 + 283*j**2 - 4*j + 1. 2857200*j**3 Find the third derivative of -40*m**5 - 25925*m**4 + 363*m**2 - 21*m - 2 wrt m. -2400*m**2 - 622200*m What is the derivative of -188594*o + 111697? -188594 Find the second derivative of 2*u*w**2 + u*w + u + 3*w**3 + 24866*w**2 - w - 16232 wrt w. 4*u + 18*w + 49732 Find the second derivative of 44*a**2*d*u + 947*a**2*u**2 + a**2*u + 8*a**2 + 9*a*d*u**2 + a*u**2 - 2*a*u - d wrt u. 1894*a**2 + 18*a*d + 2*a Find the second derivative of -19589*l**4 - 9*l**3 + 10*l - 10308. -235068*l**2 - 54*l Differentiate 17*f*u**2 + 4*f*u + 14*f - 335966*u**2 wrt f. 17*u**2 + 4*u + 14 Find the second deriva
{ "pile_set_name": "DM Mathematics" }
digit of x? 1 Let c(y) = y + 59. Suppose 0 = -7*g + 12*g + 100. What is the tens digit of c(g)? 3 Suppose 34*s - 115866 = -7*s. What is the thousands digit of s? 2 What is the tens digit of (-3788)/(-5) - -11 - 2/(-5)? 6 Suppose f - 2*f = -n - 151, -n = f - 141. What is the tens digit of f? 4 Suppose 3*u + v = 6*u + 2, u + 6 = -5*v. What is the tens digit of (-37 - (-2 - u))*(-156)/48? 1 Suppose -4*q + 30*q - 56030 = 0. What is the hundreds digit of q? 1 Let o(r) = 4*r**2 + 41*r - 16. What is the hundreds digit of o(-16)? 3 Let w = -1290 + 3702. What is the tens digit of w? 1 Let f(g) = 5*g**3 + 9*g**2 + 3*g + 1. Let c(b) = 11*b**3 + 19*b**2 + 6*b + 3. Let j(h) = 4*c(h) - 9*f(h). Let x be j(-4). What is the tens digit of x*16/(-4)*3? 1 Let p = 5038 - 2357. What is the thousands digit of p? 2 Let i = -10 - -69. Let x = 104 - i. What is the units digit of x? 5 Suppose 2*o = -2*o + 2*w + 6, -2*w = -2*o + 2. What is the units digit of ((-6)/12)/(o*3/(-180))? 5 What is the tens digit of 5430/26 - 22/(-143)? 0 Let s(p) = 2*p - 5. Let t be (0 - -1)*(7 - 2). Let x(v) = v**2 - 3*v - 6. Let r be x(t). What is the units digit of s(r)? 3 Let h(u) = u**2 + 9*u + 15. Let w(d) = 3*d**3 + 3*d**2 - d - 2. Let x be w(-2). Let m be h(x). Let c = m + -21. What is the tens digit of c? 3 Let k be (-6)/(-2 - 17/(-9)). Suppose -4*y + k = -22. Let s = y - -2. What is the units digit of s? 1 Suppose -1105 = -5*p - 5*t, 1123 = -0*p + 5*p - t. Suppose 0 = -2*w - 2*w + p. What is the tens digit of w? 5 Let h = -216 - -138. Let o = h - -259. What is the units digit of o? 1 Let k(t) = 4*t**2 - t - 4*t**2 - 3*t**2 - 2 + 6*t**2. What is the units digit of k(-2)? 2 Suppose -24*z + 108*z = 278208. What is the units digit of z? 2 Let o(k) = 2*k**3 + 4*k**2 + 3*k. Let f be o(-2). What is the tens digit of (f/(-4))/(6/60)? 1 What is the units digit of (-660)/18*6/(-8)*8? 0 Let j(i) = i**3 - 4*i**2 + 2*i - 3. Let l(m) = -m + 7. Let y be l(3). Let f be j(y). Suppose -32 = z - f*z. What is the units digit of z? 8 Let n be (-16)/80 - 1958/10. What is the tens digit of (-4 + (-30)/(-8))*n? 4 Let v = 43 + -32. Suppose -8*u = -v*u + 303. What is the tens digit of u? 0 Let h(g) = 63*g - 179. What is the tens digit of h(11)? 1 What is the thousands digit of 1212 - 24/(-6) - 10/(-2)? 1 Let z = -225 + 651. What is the tens digit of z? 2 Suppose 0 = 5*z + 15, 4*q + z + 2*z = -21. What is the units digit of (27/12)/(q/(-24))? 8 Let w be (-2 + 3 + -227)/(-2). Let l = w + -64. Let k = l + -41. What is the units digit of k? 8 Let h(y) = -2*y**3 - 6*y - 2. What is the tens digit of h(-4)? 5 Let g = 8 - 4. Suppose 3*a = g*w - 24, 7 - 15 = 2*a. Suppose -3*v - 45 = -w*y, 5*y - 6*v - 67 = -5*v. What is the tens digit of y? 1 Let h(u) = 37*u - 35. What is the hundreds digit of h(5)? 1 Let c be ((-915)/(-4) + 1/4)/(-1). Let m = 326 + c. What is the units digit of m? 7 Suppose -5*v + 15 + 5 = 0. Suppose 253 = v*m + h, 5*h = -2*m - 24 + 155. What is the tens digit of m? 6 Let x(m) = 2*m**2 - 6*m + 3. Let b(g) = g**2 + 9*g + 11. Let c be b(-8). Let v be x(c). Suppose v = s, -1 = -4*l - 4*s + 75. What is the units digit of l? 6 Let v = -11 + 11. Let z(c) = -c**3 - c**2 + 6. Let q be z(v). Let d = 10 + q. What is the units digit of d? 6 Let h(n) = n**3 - 10*n**2 + n + 10. Let c be h(10). Suppose -s = -5*s + c. Suppose 10*z - 225 = s*z. What is the tens digit of z? 4 Let i(x) = x**3 - 2*x - 1. Let o be i(2). Let m(t) = 2*t**3 - 4*t**2 + 7*t - 8. What is the tens digit of m(o)? 3 Let s(k) = 3*k**3 - 2*k**2 - 22*k + 137. What is the hundreds digit of s(11)? 6 Suppose 10*k = 5261 + 2919. What is the tens digit of k? 1 Let c(v) = 8*v - 2. Let p be (-63)/14*(-2)/3. Suppose -p*x - 2*o = -10, -o - 8 = -x + 3*o. What is the units digit of c(x)? 0 Let p = -293 - -468. What is the units digit of p? 5 Let o be (0/6)/((-4)/4). Suppose 3*h + 9*h - 1248 = o. What is the units digit of h? 4 What is the tens digit of (-39)/3 - -12 - (-3464 + 0)? 6 Let k(j) = j**3 - 13*j**2 + 5*j - 16. Let c be k(13). Let t = 26 + c. What is the units digit of t? 5 Let h(z) = 26*z**3 + 7*z - 14. What is the units digit of h(2)? 8 Let q be 3 - (-2 + 1) - -10. Let j = 6 + q. What is the units digit of j? 0 Let n(s) = 3 - 2*s**3 - s**3 + 4*s**3 - 12*s**2 - s + 9. Let j be n(12). Suppose 3*w - u = 6*w - 11, j = -3*w + 4*u + 1. What is the units digit of w? 3 Let y = 17 + -23. What is the units digit of 4/y - (-460)/6? 6 Suppose 0 = -4*j - 114 - 158. Let l = 40 + j. What is the units digit of (-9)/(-2)*l/(-21)? 6 Suppose 5*c - 101 = -66. Let g(y) = -y**3 + 5*y**2 + 17*y - 4. What is the tens digit of g(c)? 1 Let l be (-4)/(-5) + 3/15. Suppose 2*g - 3 + l = 2*p, -p = 2*g - 8. Suppose -3*x + p = -43. What is the tens digit of x? 1 Let o = -14 - -11. What is the units digit of 2/(o + 354/117)? 8 Suppose -4*s = -4*c - 2*s + 1790, 12 = 4*s. What is the units digit of c? 9 Let i(p) = p**3 + 17*p**2 - 16*p - 20. Let a = 24 - 41. What is the tens digit of i(a)? 5 Let x(r) = r**3 + 8*r**2 - 10*r + 12. Let w be x(-9). Suppose -6*d + t + 28 = -2*d, 3*d + 4*t - w = 0. What is the units digit of d? 7 Let j(r) = -2*r**2 - 26*r - 18. Let b be j(-12). Let v be (-34)/(-10) - 8/20. Suppose -v*p = -b*p + 18. What is the units digit of p? 6 Let c be 100/26 + (-6)/(-39). What is the units digit of 257/7 + c/14? 7 Let j(m) = 112*m**2 + 2*m - 4. Let x be j(2). Let o = x + -216. What is the hundreds digit of o? 2 What is the units digit of (-90)/(3 - 46/15)? 0 Suppose 3 = -3*z, -2*z = -4*x + z + 23. Suppose 7 = 2*j + d + 2*d, 4*d - 12 = -4*j. Suppose x*q = j*q + 99. What is the units digit of q? 3 Let g = 3876 + -1322. What is the hundreds digit of g? 5 What is the thousands digit of (-2 + 3)/((-1)/(-1547))? 1 Let y(j) be the first derivative of -j**3/3 + 3*j**2 - 3*j + 3. Let g be y(6). Let t(x) = -12*x + 4. What is the tens digit of t(g)? 4 Let c(j) = 19*j**2 - 11*j - 57. Let t(w) = 9*w**2 - 5*w - 28. Let s(u) = -3*c(u) + 7*t(u). What is the units digit of s(7)? 5 Let b = -306 - -167. Let t = b + 309. What is the units digit of t? 0 Let f(s) = -7*s**3 - 3*s**2 - 5*s - 4. Let g be f(-4). Suppose 25*t - 29*t = -g. What is the tens digit of t? 0 Let j = 164 - -60. Suppose 7*c = 238 + j. What is the tens digit of c? 6 Let r(x) = 10*x - 29. What is the units digit of r(13)? 1 Let h(b) = 11*b**2 + b. Let g be h(2). Suppose -260 = -5*n - 5*z, -4*z + g = -n + 2*n. What is the units digit of n? 4 Suppose -5*c + 5*b - 25 = -0*c, 2*c + 8 = 3*b. Let z(h) = -11*h - 9. Let i(r) = 17*r + 14. Let f(o) = 5*i(o) + 8*z(o). What is the units digit of f(c)? 9 Let s = -483 - -903. Suppose 2*l - 4*l = -4*m - s, -3*m = 5*l - 1115. What is the hundreds digit of l? 2 Let r(s) = s**3 - 4*s**2 - 5*s + 1. Let p be r(7). Suppose 2*f - 413 = -p. Suppose -5*h = -120 - f. What is the units digit of h? 4 Let p(s) = -7*s**3 - s**2. Let l be 0*3/(-6) + -1. Let f be p(l). Suppose 76 = o + 5*t, 2*o = f*o - 3*t - 235. What is the units digit of o? 1 Let c be (-12 + 13)/((-1)/(-5)). Let p(k) = -k**3 + 6*k**2 - 4*k + 6. Let a be p(4). Suppose 67 = c*t + a. What is the units digit of t? 9 Let b be 0 - 6 - -9 - (1 + -1). Suppose -b*v + 288 - 24 = 3*t, -t + 88 = 4*v. What is the tens digit of t? 8 Let b be -1 + -1 - (11 + 1). What is the tens digit of 8/b + (-1020)/(-70)? 1 Suppose 4*d = 3*i + 6*d - 2329, 5*d = 5*i - 3840. What is the tens digit of i? 7 Suppose 14 - 11 = x. Suppose -4*c = -x*t + 592, -4*t + 2*t = 3*c - 389. What is the tens digit of t? 9 Let d = -60 - -63. Suppose -60 = -x + v, -d*x + v + 188 = -0*x. What is the units digit of x? 4 Let w be (-2)/(-6) + 35/21. Suppose h = 5*c + 310, -865 = -2*h - h + w*c. What is the hundreds digit of h? 2 Let n be (-22)/(-6) + (-4)/6. Suppose -5*p = 3*f - 4, 5*p - n = -f - 5. Suppose 0 = -0*t + f*t - 5*z - 104, 2*t - 64 = -2*z. What is the units digit of t? 3 Let i(d) = 95*d - 168. What is the hundreds digit of i(12)? 9 Let h(z) = 13*z**3 + 8*z**2 + z + 4. What is the hundreds digit of h(3)? 4 Suppose 0 = -2*j + 3*d + 2*d - 66, 0 = -2*j + 4*d - 68. Let a = -38 - j. Suppose 0 = 2*r + 2*o - a*o - 132, 3*r - 202 = -4*o. What is the tens digit of r? 6 Let l(r) = -r**2 - 2*r + 3. Let b be l(-3). Let h(i) = -i + 8 + 14*i**2 + 11 + b*i**3 - 2*i**3 + 3*i**3. What
{ "pile_set_name": "DM Mathematics" }