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*(4/5)*z)*z)/z**(4/7)*(z**(-1)/z)**(-5))/((z**4*z**(1/2))/(z**(-3)*z*z**(-2)/z)) assuming z is positive. z**(9/70) Simplify (s**(-1/4))**(1/28)*s**(-1/5)/(s*s**(-6))*((s**4*s)/(s*s**6))**(28/5) assuming s is positive. s**(-3589/560) Simplify (((m**1*(m/(m/(m/(m**4/m))))/m)**46)**(-1))**32 assuming m is positive. m**2944 Simplify ((a**(-17))**11/(a**(-34))**(-21/2))**(3/17) assuming a is positive. a**(-96) Simplify (h/((h**(-2/17)/h)/h)*h*h/h**(2/13))/((h**(-1/2)/h*h*h)/h)**43*(h/(h*h**(-1/6))*(h*h*h*h/h**(1/6))/h)**(2/7) assuming h is positive. h**(84531/3094) Simplify ((l**(-4/7)/l)/(l/l**(1/7))*(l**(-2/5)/l)**(-23))/((l*l**(-5/6))/l*l**6)**(-5/11) assuming l is positive. l**(74197/2310) Simplify (r/(((r/r**(-5))/r)/r)*r**(-1/3)*r*r)/(r/(r*r*r**(-1)*r*r)*r)**(-11)*(r/(r*r**(-5))*r**7)/(r*r*r**(-2)*r*r)**(-6/13) assuming r is positive. r**(23/39) Simplify (((y*(y*y**22)/y)**(-2/181))**17)**36 assuming y is positive. y**(-28152/181) Simplify z**0*z*z/z**(1/13)*(z**(-1/7)/z)/(z/z**8)*((z/z**14)/(z/((z**(-2/5)*z)/z)))**(-25) assuming z is positive. z**(33468/91) Simplify ((i**(-10/9))**(-39)/(i/(i*i**(-2/31)))**19)**(-6/13) assuming i is positive. i**(-7832/403) Simplify ((y/y**(-4/7))/(y**(-2)/y))**(-50)*(y**(2/5))**(1/77)*((y/(y/(y/y**7)))/y)/y**(3/5) assuming y is positive. y**(-90924/385) Simplify ((l*l/(l/(l/(l*l**(-4)*l))*l*l*l))/(l/l**(3/5)*l))**13*(((l**(-6)/l)/l)/((l/l**(7/3))/l))**(-7) assuming l is positive. l**(517/15) Simplify (z*z**(-5))/(z**6*z*z)*(((z/(z**(-1/3)/z))/z)/z)**(17/6)*(z**(-1))**(-16/7)/((z*z**(-3/4))/(z**(1/2)*z)) assuming z is positive. z**(-1895/252) Simplify ((c**(17/3)/c)/c)**2/(c**36*c*c**15) assuming c is positive. c**(-134/3) Simplify ((g/(g/g**(-1/4)))/g**(-46))/(g*g**(5/8)*g**24*g) assuming g is positive. g**(153/8) Simplify (d/(d*d/((d*(d*d/d**(-3/4))/d*d)/d))*d*d**(-1/9))**27*d**0*d/(d/d**4)*(d*d*d/(d/(d/(d*(d*d**0)/d))))**(-6/17) assuming d is positive. d**(5069/68) Simplify ((j/j**(-4/9)*j*j**0)/(j**(-1/6)*j**(-7)))/((j**(-5)/(j/(j*((j**(2/5)/j)/j)/j*j*j)))/(j**(-3/10)*j**(4/3))) assuming j is positive. j**(731/45) Simplify (((x*x*x*x**7*x)/x)**(8/17)/(x/(x*x**(-1/7))*(x*(x/(x*x/(x**24*x)))/x)/x))**13 assuming x is positive. x**(-28522/119) Simplify (l/(l**(-29)/l))**(-30)*(l**25*l)**5 assuming l is positive. l**(-800) Simplify (((((m/(m**(1/2)/m))/m)**(-19))**27)**(44/7))**(-28) assuming m is positive. m**45144 Simplify t*t**(-2/11)*t*t*t**(-2)*t*(t**(-1))**(-2/97)*((t**(-2)*t)**(-50))**49 assuming t is positive. t**(2616112/1067) Simplify g**(1/12)*g*g**(-2/23)/g*g**(-20/7)/g**(23/3) assuming g is positive. g**(-20339/1932) Simplify (y/(y**(-6/5)*y)*y*y/(y**3/y))**(-48)/((y**(-1)/y)**(-20)/(y**(1/2))**(-1/11)) assuming y is positive. y**(-10741/110) Simplify (p*p**1)/p*p/((p/((p**(-4/5)*p)/p))/p*p)*p**4*p**(2/9)*p*(p*p/(p*p/p**(1/2)))**(-13)/((p/p**(-1/4)*p)/p**3) assuming p is positive. p**(-59/180) Simplify ((k**(2/5)/k)/(k/(k/((k/k**(2/3))/k)*k)*k))**(-13/5)*(k**(-2/5)/k)**(-10)/((k*k**(1/4)*k)/(k/((k*k**(-5))/k))) assuming k is positive. k**(5273/300) Simplify (((p*p*p/(p**6/p)*p*p)/(p*p*p**(-11)*p))/(p**(1/2)/(p**7/p)))**(-37) assuming p is positive. p**(-999/2) Simplify ((b*b/b**(-2/5))**(-3/14))**(-6)/(b**(-9)/b*b**(-8)*b*(b*b**(-2)/b)**(11/9)) assuming b is positive. b**(7097/315) Simplify (x**5*x/(x*x/(x**3/x)*x))**(-5/17)/((x*((x*x**(-1))/x)/x*x*x)**(-15))**12 assuming x is positive. x**(3035/17) Simplify (s*s**5*s/(s*s/s**(4/5)*s)*s)/((s**(-2)/s)/s**(-2))*(s*s**(-4)*s/s**(8/3))**(-2/95) assuming s is positive. s**(1966/285) Simplify (q/((q**(-8)*q*q)/q)*q**40*q)/(q*q/(q*q*q**(-19))*q/(q**25*q)) assuming q is positive. q**55 Simplify (((q**(-2/105)*q)/q**22)/(q/(q*q**(-2/7)*q*q*q))**(-3/4))**30 assuming q is positive. q**(-9683/14) Simplify (y/((y/(y**5/y)*y)/y)*y*y*y**(-2/9)/y)**(-7/2)/(((y*y/y**(-3))/y**(4/7))/(y/(y**(2/21)*y)*y*y/y**3)) assuming y is positive. y**(-2803/126) Simplify ((y**3)**(-2/79)/(((y*y**(-4))/y*y)/((y*y**(3/4)/y)/y)))**(-14) assuming y is positive. y**(-5915/158) Simplify ((((g*g**(-2))/(g*g/((g**(-1/3)*g*g)/g)))**2)**22)**50 assuming g is positive. g**(-15400/3) Simplify ((k**(-2/11)/((k/k**(-1/3))/k))/((k**0*k)/k**5))/((k**(1/4)*k*k**(2/13))/(k**2*k*k/k**3)) assuming k is positive. k**(5287/1716) Simplify (((c*c/(c/c**(-1)*c))/c)**2)**24*(c**(-3/2)*c/((c**(1/3)/c)/c))**(-33/2) assuming c is positive. c**(-461/4) Simplify ((f**(-1/9)*f/f**(24/11))/((f*f*f**(1/25)*f)/((f**(-10)*f)/f*f*f)))**(-7) assuming f is positive. f**(213668/2475) Simplify ((u*u**(1/19)*u*u**19)/(u**(2/43))**(-24/7))**(1/3) assuming u is positive. u**(121312/17157) Simplify (((((a*a**(2/23)*a)/a)/((a**(1/5)*a)/a))/(a/a**(-2)*a*a*(a*a**(1/2))/a))**(1/14))**(-15/2) assuming a is positive. a**(3183/1288) Simplify (u**(-2/3))**24*(u/u**(-1/5))/(u*u/u**(-1/4))*((u*u/u**(-2))/u**(-1/3))/(u**(-2/5)*u)**(-46) assuming u is positive. u**(893/60) Simplify ((r**6/(r**7/r))/(r**(-1))**(-12))/(r/(r*r**(-1/4))*r**(-10)/r)**(-43) assuming r is positive. r**(-1897/4) Simplify ((d**0)**(-34))**(6/17)/((d/(d/(d**(-1)/d)))**(-36)/(d/d**(1/2))**32) assuming d is positive. d**(-56) Simplify ((s**(5/2)*s)/((s*(s*s**4*s*s)/s)/s*s))**22/((s/(s*s**2))**(-3/4))**(-15) assuming s is positive. s**(-109/2) Simplify ((o**(6/23)*o*o**7*o)/(o**(8/5))**(3/5))**(-37) assuming o is positive. o**(-176601/575) Simplify (((j/(j/(j/j**3)))/((j**(-2/25)/j)/j))/(j*j**(-2/7))**(1/4))/(j**(-1/4)*j**2)**5 assuming j is positive. j**(-3097/350) Simplify ((w/(w**(-2/3)*w))**(-2/21)/((w*w**0)/(w*w/(w/w**(-2/5)))))/((((w**(2/17)*w*w)/w*w)/(w/(w/w**(-7))))/(w**(-5)/w**(1/3))) assuming w is positive. w**(-79867/5355) Simplify ((b*b**(-4/5))/(b/(b*((b/(b*b**(1/2)))/b)/b)*b))/((b*b**(2/19)*b)/b**(2/9))*(b*b*b**(-1))**(-33)/(b*b**1*b**(-2/11)/b) assuming b is positive. b**(-733613/18810) Simplify ((w*w*w**5*w/((w**0*w)/w)*w)/(w/((w/w**5)/w)*w/w**3))/(w**6/(w*w*w**(-1/5)*w)*(w/(w/w**(3/2))*w)/w**(4/3)) assuming w is positive. w**(19/30) Simplify ((y**22/((y**(1/4)*y)/y))/(y**(-8)*y**(-5/6)))**12 assuming y is positive. y**367 Simplify ((w**(-4)*w)/w*w**4)/(w**(-3)/(w/((w/(w/(w**(-1/5)*w)))/w*w)))*(w**(-2/5))**(-9/5)*w*w**(-2/5)*w*w**(1/10) assuming w is positive. w**(281/50) Simplify ((x**9)**(-11/3)/(x**(-8))**10)**(5/19) assuming x is positive. x**(235/19) Simplify ((p**(-5)/p*p)**(-8/15))**(2/81)/((p**(-2/7)/p)/(p*(p**0/p)/p*p)*(p/(p**(-1)/p)*p)**(-17)) assuming p is positive. p**(117967/1701) Simplify ((z*z**1*z)/(z/(z*z**(2/5)))*(z/((z*z*z**0*z)/z*z)*z)**(-1/8))/((z**(-2/7)/(z**(-1)/z))/(z*z/z**(1/4)*z/z**2)) assuming z is positive. z**(717/280) Simplify (((u/u**26)/u)/(u*(u**(-8/11)*u)/u*u)*((u/u**3*u)/u)/((u/u**(11/5))/u))**(2/21) assuming u is positive. u**(-2978/1155) Simplify (o**(-1/4))**(-2/7)*o**(1/2)*o/(o/(o**(-5)/o*o))*(o**(-2/3))**(8/9)/(o**(-1/5)/o**1) assuming o is positive. o**(-3611/945) Simplify ((s**(2/19)/s)**23/(s**(-16)/s**(-1/11)))**(-1/7) assuming s is positive. s**(976/1463) Simplify ((x*(x/x**1)/x*x)**(2/25))**(4/17)*((x/((x/x**7*x)/x))/x*x**(-3/2))/(x**(1/3))**(-2/73) assuming x is positive. x**(842879/186150) Simplify c**6/(c**(-1/3)/c)*(c/(c**(1/7)*c))/c**4*((c**1)**(-3/5))**(4/25) assuming c is positive. c**(8123/2625) Simplify ((p**(-3/4)/p*p)/(p/(p*p/((p*p*p**(-1/2)*p*p)/p))*p))/(p**4*p*p**(2/9)*p)*((p*p**(1/3)/p*p*p)**(-2))**(-7/12) assuming p is positive. p**(-27/4) Simplify ((f*f**(-9))/f**(-4)*(f**(2/11)*f)/(f**(7/3)/f))**34 assuming f is positive. f**(-4658/33) Simplify (u/((u/(u**8*u))/u*u)*u**6*(u**(-1/7)*u)/u*u**(-9))**(-13/4) assuming u is positive. u**(-533/28) Simplify (((a/(a**(2/7)*a)*a*a)/a*a)/(a*a/a**(1/7)))/(a/a**(3/4)*a**1)*(a**1)**(5/3)/(((a**3*a)/a)/(a*a**4)) assuming a is positive. a**(191/84) Simplify (i**1)**(2/9)/(i**(-1)*i**7)*(i**(-2))**(-3/17)*i**(-1/3)*i**(-4)/i*i assuming i is positive. i**(-1493/153) Simplify ((((r/r**(4/5))/(r**(-2/7)*r))/(r*r*r**8*r**(-4)))**(-23))**1 assuming r is positive. r**(5244/35) Simplify (((g**(-1/8)*g)/(g**(6/11)*g))/((g/(g*g/(g**(-15)/g*g))*g)/(g**(3/14)/g)))**(-45) assuming g is positive. g**(-375435/616) Simplify (((h/(h**1*h)*h)/h)/h**(-4/9)*h**(1/6)/(h*h/(h/((h/(h/(h**(-5)*h*h)))/h*h))))**2 assuming h is positive. h**(29/9) Simplify (((q/(q/q**(-4/9
{ "pile_set_name": "DM Mathematics" }
et s be x(-8). Does 33 divide (w/(-5))/(s/(-1980))? True Let n be 15/20 - (-26)/8. Is 23 + -2 + n + -6 a multiple of 19? True Does 24 divide ((-10368)/(-378))/((4/154)/1)? True Let b be -24*(-4)/(-2 - 6). Is (b/(-5))/((-6)/(-345)) a multiple of 23? True Let t(x) = -x + 42. Let y be (12/(-18))/((-4)/78). Is t(y) a multiple of 4? False Suppose -7*t = 2*t - 4536. Is 63 a factor of t? True Let o = -1 - 3. Let p(n) = 10*n + 254. Let l be p(-30). Does 12 divide (l/o)/(7/14)? False Let h = 5 + -2. Suppose 5*g + h = 173. Is g a multiple of 8? False Let c(p) be the third derivative of p**6/120 + p**5/6 - 5*p**4/8 + p**3/2 + 11*p**2. Suppose -3*q = d + 35, -3*d + 5*d = 3*q + 29. Does 6 divide c(q)? False Let n = 143 - 110. Does 16 divide 968/n*(7 + -1)? True Suppose -r - 11 + 4 = 0. Let x = -4 - r. Suppose 5*y - 107 = x. Does 10 divide y? False Let d be 837 + (-15)/25*(-5 - 0). Suppose 54*o - 49*o = d. Is o a multiple of 24? True Suppose -3*g = -13 - 14. Suppose g*u = 5*u + 3*z + 847, -9 = -3*z. Does 23 divide u? False Suppose 0 = x - 2*x + 4*q + 304, 3*x + 5*q = 844. Is x a multiple of 24? True Let y(q) = 13*q + 8. Let t be y(3). Suppose 45*j + 62 = t*j. Is 8 a factor of j? False Is 11 a factor of -7 - (0 + -700 + 0)? True Let m(j) = 4*j**2 + 3. Let n(b) = -17*b + 2. Let u be n(1). Let v be 4/10 + (-24)/u. Is 19 a factor of m(v)? True Suppose 0 = 4*r - 5*r. Let m(f) be the second derivative of f**3/6 + 26*f**2 + 6*f. Is 26 a factor of m(r)? True Suppose -5*p - i = 0, 8*p = 3*p + 5*i. Suppose 4*k = 2*a + 8, 2*a + 5*k - 54 + 17 = p. Is 2 a factor of a? True Let a be -1 - 0 - (-12)/4. Let l(s) = -5*s**3 - 2*s**2 + 3*s + 5. Let t(u) = -u**3 + u + 1. Let y(w) = -l(w) + 4*t(w). Is 17 a factor of y(a)? True Suppose -z - 4 - 1 = 0. Let g(k) = -k + 1. Let l be g(z). Suppose 8*p = l*p + 24. Does 4 divide p? True Let u(h) = -h**2 + 12*h - 15. Let i be u(10). Let p be -6*i/(30/(-4)). Suppose 2*n - 42 = -p*j, -4*j - 4*n + 47 = -n. Is j a multiple of 5? False Let i = -736 - -1651. Is i a multiple of 53? False Suppose 0 = 3*y - 104 - 19. Is 2 a factor of y? False Suppose -x - 2778 = -10*w + 7*w, -5*w = -3*x - 4634. Does 70 divide w? False Let c(h) = h**2 - 7*h + 46. Is c(-18) a multiple of 6? False Let c be (174/15)/(2/10) + 2. Let v = c - 29. Is v even? False Suppose 0*q - 2484 = 9*q. Let t = q + 514. Is t a multiple of 11? False Let f = -11 - -36. Does 9 divide (-22 + f)/(1/12)? True Suppose 35 + 17 = -4*i. Let b(v) = v**3 + 14*v**2 + 15*v + 5. Let m be b(i). Let n = 53 + m. Does 8 divide n? True Suppose -18 + 28 = m. Is 15 a factor of (m/(-2) - -36)*2? False Let p = -764 + 1499. Is 11 a factor of p? False Suppose 20 = 6*k - k. Suppose -3*t - 97 = -k*x - 2*t, 3*x - t - 72 = 0. Does 11 divide x? False Let n = 20 - 24. Let w(h) = -h**3 - 2*h**2 - 3*h + 7. Is w(n) a multiple of 17? True Let t be -3 + (-4 - 21/(-3)). Suppose -4*l + l + 323 = -2*f, l + f - 111 = t. Is l a multiple of 27? False Let f(k) = 350*k + 160. Does 10 divide f(6)? True Let o = 8 + 4. Suppose 0*u = 3*u - o. Suppose -u = 3*r - 19. Does 5 divide r? True Let q be (12/8)/(3/(-54)). Is 13 a factor of (-696)/q + 8/36? True Let k = -2 - -16. Let f be -82*-1*k/4. Suppose -11 = -3*n + 1, 2*n + f = 5*h. Is h a multiple of 13? False Is (1 + 117)*(300/24)/25 a multiple of 25? False Let l(r) = -136 - 4*r**2 - 4*r**3 + 3*r**3 + 141. Suppose -3*t - 13 - 2 = 0. Is l(t) a multiple of 12? False Suppose -5*s = -2*s - 9. Suppose 3*g = 2*d + d - 18, d + s*g = -10. Is 5 a factor of (-715)/(-30) + d/12? False Suppose -404 = -3*i + 2446. Suppose 5*z - i = h, -3*h = -3*z + 333 + 249. Is z a multiple of 11? False Let j(r) = r**2 - 15*r + 20. Suppose -5*f + 99 = -p, -3*f + 44 = -4*p - 29. Does 8 divide j(f)? True Let f(q) = 7*q**3 + 23*q**2 + 19*q - 10. Let a(l) = 4*l**3 + 12*l**2 + 10*l - 5. Let v(m) = -5*a(m) + 3*f(m). Is 2 a factor of v(-8)? False Let p(j) = 13 - 9*j**3 + 3*j**3 + 4*j + 16*j**2 + 5*j**3. Is p(16) a multiple of 9? False Let d(s) = 3*s**2 + 12*s - 5. Does 13 divide d(13)? False Is 29 a factor of 1/(((-3)/849)/(-1))? False Suppose 0*m - 2*m = -6. Let l be -2 + (-8)/((-32)/620). Suppose -t - 3*f + 43 = 0, -m*t + 0*t + l = 3*f. Is t a multiple of 11? True Let p(k) = -2*k**2 - 2*k - 5. Let n be p(-5). Suppose 0 = -3*d - 3, -2*z + 3*d = -5*z + 6. Is z/(-1) + (-12 - n) a multiple of 15? True Let z = -211 - 257. Does 19 divide (-11)/(33/z) + -1 + 3? False Let n = -5 - -9. Let d be 152*(-3 + 0 + 4). Suppose d = -0*i + n*i. Is i a multiple of 19? True Suppose 2*a + 20 = 6*a, 17 = -v + 4*a. Suppose v*j + 84 = -4*w, w - j + 0*j + 21 = 0. Let s = w + 35. Does 12 divide s? False Suppose 266 + 616 = 4*k + 3*m, 3*k + 3*m = 660. Let g = k + -130. Suppose -v + 15 + 29 = 4*u, -3*v + g = 2*u. Is 7 a factor of v? True Suppose 5*y + 0 - 20 = 4*q, -4*y + 4*q + 20 = 0. Suppose 9*g - 16*g + 1092 = y. Is 39 a factor of g? True Let x = 5 - -3. Suppose -3*u + x = -1, 2*j + 2*u - 370 = 0. Suppose 4*v = 4*z - 42 + j, -z - 67 = -2*v. Is v a multiple of 16? True Let u(c) = -10*c**3 - 2*c**2 + c + 2. Let n = -12 + 3. Let p(x) = 21*x**3 + 5*x**2 - 2*x - 4. Let z(b) = n*u(b) - 4*p(b). Is 18 a factor of z(2)? True Let k(b) = -174*b + 411. Is k(-12) a multiple of 119? True Suppose 0 = -4*a - 3 + 15, 5*m + 4*a = -28. Suppose -42 = -2*b - 2. Let v = m + b. Is 4 a factor of v? True Let u = -115 + 187. Let b = -454 - -767. Suppose 5*q - u - b = 0. Does 31 divide q? False Suppose -2*o + 8 = 0, 3*o - 57 = 4*i + 19. Let r = i - -56. Does 20 divide r? True Suppose g + 1 = 6. Suppose g*i = -56 + 326. Is i a multiple of 18? True Suppose -41 = 6*b - 17. Let z(h) = -h**2 - 8*h - 2. Does 3 divide z(b)? False Let n(j) = 19*j - 39. Does 6 divide n(9)? True Suppose 17 = -12*c + 137. Is c a multiple of 2? True Suppose 14*g - 3454 = -8*g. Suppose 385 = m + g. Is m a multiple of 16? False Let k = 21 - -30. Let h(z) = -8*z + 5. Let d be h(-3). Let y = k - d. Is y a multiple of 22? True Suppose 2764 = 16*b - 5460. Does 12 divide b? False Suppose 0 = -3*o + 7*o, 3 = a - 4*o. Let b be a - 6*(-3)/6. Suppose -3*x + b*x - 9 = 0. Is x a multiple of 2? False Let a be 2/(-5)*(0 - 5). Let d(v) = -10*v**3 + 2*v**2 - 2*v + 4. Let q be d(a). Let k = -40 - q. Does 8 divide k? True Suppose -d + 1 = -5*i, -5*d + 4*i + i - 15 = 0. Is -1*(d/(-4) + -4) a multiple of 3? True Let f(t) = -t**3 - 9*t**2 + 14*t + 9. Let m(u) = u**2. Let n(d) = -f(d) + 2*m(d). Does 9 divide n(-12)? False Let c(g) = -16*g - 11*g**2 + 8*g + 2 + 11*g. Let a be c(-1). Is 188/12 + 8/a even? False Let u be -3 + (80/(-28) - -2)*56. Let t = 82 + u. Is 6 a factor of t? False Suppose -18 - 60 = 2*z. Let s = z - -115. Is s a multiple of 18? False Let p(j) = -j**3 - j**2 - 2. Let a be p(-2). Let i(u) = 11 + 12 + 14*u - 24. Is 17 a factor of i(a)? False Suppose 3*o - 2*x - 3 = -5*x, -2 = -3*o - 4*x. Let l(d) = 4*d**2 - d - 2. Let c be l(o). Is ((-36)/10)/(c/(-40)) a multiple of 12? True Let t = 741 - 326. Does 10 divide t? False Let o = 24 + 14. Suppose 2*i - o - 22 = l, 3*l = 12. Let g = i - 1. Does 4 divide g? False Is 14 a factor of 573 - (-2)/4*2? True Let c = 536 - -154. Is c a multiple of 6? True Suppose -2*b - 1382 = -2*z, 1428 + 2006 = 5*z + 2*b. Is z a multiple of 76? False Let w(m) = -m**2 + 16*m + 17. Let p = -12 + 25. Does 7 divide w(p)? True Is (-9594)/(-15) + 16/40 a multiple of 16? True Let o be (6/4)/(6/16). Suppose o*t - 54 - 118 = -a, 4*t + 3*a = 180. Does 7 divide t? True Let v(q) = 2*q**3 - 5*q**2 - 6*q + 7. Let f be v(7). Suppose 5*x + 106 - f = 0. Is x a multiple of 20? True Let q be (-1)/2 - (-430)/4. Suppose 2*f - 513 = 11*f. Let u = f + q. Is u a multiple of 12? False Let p(g) = -g**3 - 3*g**2 - 4*g. Let w be p(-4). Suppose 194*x - 199*x + i + 83 = 0, i = x - 19. Let f = w - x. Does 16 divide f? True Let t = 3 + -2. Is -2 - (-7 + t + 2) even? True Let n be 0 + -5 - (-1 - 89). Let c be (-302)/6 + (-1)/(-3). Let t = c + n. Is t a multiple of 35? True Let q(t) = -3*t**3 + 10*t**2 + t - 4. Is q(-7) a multiple of 26? True Let v be (-69)/(-6) - (-1)/2. Suppose 0 = y - 5*y + v. Suppose y*h + 6 = 0, b - 3*h - 46 = -15. Is 25 a factor of b? True Suppose -6*i + 4*w = -2*i + 8, -3*i + 5*w = 0. Let u = -5 + i. Is 15 a factor of (-304)/(-10) - u/(-25)? True Let q = -52 - -102. Suppose 0*o + 17 = i
{ "pile_set_name": "DM Mathematics" }
-3*w + 10. Let a be 124/w + 2/8. Calculate the greatest common factor of a and d. 4 Suppose 0 = -10*a + 3*a + 175. Calculate the highest common factor of a and 100. 25 Let g(i) = -i - 18. Let a be g(-13). Let l(w) = -12*w - 4. Let n be l(a). Calculate the highest common divisor of 14 and n. 14 Let x be ((-705)/4)/(-5) + 2/(-8). What is the greatest common factor of 245 and x? 35 Let a = -98 - -137. Suppose 2*j = -j + 78. Suppose -j = -2*l + 5*k, l = -3*k + 12 + 1. What is the greatest common factor of a and l? 13 Let j(t) = -t**2 - 7*t - 1. Let i be j(-6). Let w(p) = p**2 + 10*p + 10. Let f be w(-9). What is the highest common divisor of f and i? 1 Let x(v) = -22*v - 8. Let c be x(-7). Suppose -l = -5*p + c, -p + 14 = -3*l - l. What is the highest common factor of 10 and p? 10 Suppose -5*v - 5*h + 90 = 0, 4*v - 5*h - 82 + 28 = 0. Let c be (-1)/1 + (-5 - -4). Let b = v + c. What is the greatest common factor of 14 and b? 14 Let b = -60 - -148. Calculate the greatest common divisor of b and 8. 8 Let n(v) = 9*v + 21. Let c be n(0). What is the highest common factor of c and 14? 7 Let j(p) = -p**2 - 2*p + 10. Let k be j(-3). What is the greatest common factor of k and 49? 7 Let y(d) = 13*d**2 + d + 1. Let h(m) = -m**2 - 8*m - 9. Let f be h(-6). Let c be y(f). Calculate the highest common factor of c and 11. 11 Suppose -m = -4*l + 9 - 31, -l - 13 = -4*m. Let o be 158 + (m - -1 - 1). Calculate the greatest common divisor of o and 20. 20 Suppose 3*x - j - 9 = 0, 5*x - 5*j - 7 = 8. Suppose 30 = h + 4*h. What is the highest common factor of h and x? 3 Suppose -3*c + 5 = 2. Let z(m) be the third derivative of 3*m**5/20 + m**4/24 - m**3/6 + 2*m**2. Let g be z(c). What is the highest common factor of g and 90? 9 Suppose -s - 4*r + 23 = 0, -5*s + 49 = -7*r + 5*r. Calculate the highest common factor of 44 and s. 11 Suppose h + h = 36. Suppose 3*y - 36 = 3*x, -y - 30 = 4*x + 4*y. Let u be 10/4*(-12)/x. What is the highest common divisor of h and u? 3 Let t be ((-35)/(-2))/(5/20). What is the highest common factor of 14 and t? 14 Let x(t) = t**2 + 8*t - 1. Let o be x(-11). What is the greatest common divisor of 16 and o? 16 Let n(y) = -7*y**3 - y**2 - 2*y - 1. Let l be n(-1). Calculate the highest common divisor of l and 35. 7 Let q(o) = -1 - 5 + o**2 + 2 + 4*o. Let v be q(-5). Let n = v - 0. Calculate the greatest common divisor of 3 and n. 1 Let o = 557 + -397. Calculate the highest common divisor of 32 and o. 32 Let y(s) = s**3 + 6*s**2 + 3*s + 4. Let f be y(-5). Calculate the greatest common factor of 126 and f. 14 Suppose w - 19 = 3*p - 7*p, -5*p = -4*w - 8. What is the greatest common divisor of 16 and p? 4 Suppose -3*t + 5*m = 3*m + 5, -7 = 5*t - 2*m. Let v be t - (-3)/(-6)*4. Let z be 1/v*(-28 + -5). Calculate the highest common factor of z and 44. 11 Let r(s) = -s**3 - 4*s**2 + 2*s - 1. Let k be r(-5). Calculate the highest common factor of k and 14. 14 Let s = 29 + -21. What is the highest common factor of s and 8? 8 Let v = -1 - -1. Let x be (v - 1)*1 - -6. Suppose -51*w = -53*w + 10. Calculate the highest common divisor of w and x. 5 Let t = -5 + 8. Let c(r) = 7*r**2 + 5. Let m be c(t). Calculate the highest common divisor of m and 17. 17 Suppose -n = -2*n + 4. Suppose n*q + 26 = 170. Calculate the greatest common divisor of 4 and q. 4 Let y = 14 + -6. Suppose 3*h - y*h - 50 = 0. Let t be 1/5 - 78/h. What is the greatest common factor of 8 and t? 8 Let s = -8 + 12. Suppose s*u - 3*u - 18 = 0. Let i = 87 - 51. Calculate the greatest common divisor of u and i. 18 Let t(k) = 3*k**2 + 5*k - 3. Let r(w) = -10*w**2 - 16*w + 8. Let l(f) = 2*r(f) + 7*t(f). Let g be l(2). What is the highest common factor of 55 and g? 5 Suppose 4*o + 13 = 2*n + 45, 4*o + 4*n - 8 = 0. Calculate the highest common factor of 42 and o. 6 Suppose 2*q = -2*p + 20, 20 = 2*p - 3*q + q. Let y = 16 + p. Let r = -57 - -96. Calculate the greatest common factor of y and r. 13 Let c(v) = 2*v**2 + 11*v + 7. Let n be c(-11). Suppose -2*g + w + 28 + 2 = 0, -4*w + 8 = 0. What is the highest common factor of n and g? 16 Suppose -g + 29 = 5*x, -x - g = 1 - 10. Let q be ((-82)/(-6))/(1/3). Let a = q - x. What is the greatest common factor of a and 18? 18 Let u be 150/4*18/27. Suppose -6*x = -x - u. What is the greatest common divisor of x and 15? 5 Let u be (-5 - 41/(-4))/((-1)/(-8)). What is the highest common divisor of u and 28? 14 Let z = -2 - -4. Suppose -z*j = -0*j - 16. Calculate the highest common factor of 40 and j. 8 Let b = 142 + -126. What is the greatest common divisor of b and 32? 16 Let l be -1 - (-2 + 2 + -5). Suppose -l*w = w + 35. Let a = w - -22. What is the greatest common divisor of a and 5? 5 Let u = 55 - 19. Suppose -2*k + 2 = -0*k. Suppose k = -3*j + 37. Calculate the highest common divisor of j and u. 12 Suppose 0 = 3*j - 130 - 260. Suppose o + 4*o - j = 0. What is the greatest common factor of 39 and o? 13 Let n(v) = v + 2. Let c be n(0). Let q be (-148)/3*(-3)/c. Suppose -5*d + 226 = -q. What is the greatest common divisor of 20 and d? 20 Let c be 2/(-7) + (-4)/(-14). Let d = c - 0. Suppose 5*b + l - 21 - 32 = d, -3*b + 5*l = -43. What is the highest common factor of b and 11? 11 Suppose -3*u = -0*u + 5*d - 7, u - 5*d - 29 = 0. What is the highest common divisor of u and 9? 9 Let z = -93 - -66. Let v be ((-12)/(-9))/((-3)/z). What is the highest common factor of 72 and v? 12 Suppose -5*l - 3 = -13. Suppose 15 = x + 5*a, 33 + 33 = 2*x - l*a. What is the highest common divisor of x and 75? 15 Let w be 1/3*(7 + -10). Let g(p) = -79*p - 2. Let b be g(w). Calculate the greatest common factor of b and 11. 11 Let v = 43 + -8. Suppose 4*j - 13 = 15. What is the highest common factor of v and j? 7 Let g(i) = 2*i**2 + 2*i - 6. Let y be g(3). Calculate the greatest common divisor of 2 and y. 2 Suppose -89 = -m - 12. Let k(h) = -h - h**2 + 7*h**3 + 2*h**2 + 0*h**2. Let q be k(1). What is the greatest common factor of m and q? 7 Suppose 0*g - 104 = -4*g. What is the highest common factor of g and 26? 26 Suppose -2*h - 9 = -53. What is the greatest common factor of h and 44? 22 Let i(z) = 13*z**2 - z - 2. Let y be i(-2). Let s be ((-52)/6)/((-4)/6). Calculate the greatest common divisor of s and y. 13 Suppose -2*t - 17 = 25. Let j = -9 - t. Calculate the highest common divisor of j and 96. 12 Suppose 3*v - v = 64. Let n be (-1)/(3*(-1)/(-84)). Let k = v - n. Calculate the greatest common divisor of 24 and k. 12 Let x = -6 - -3. Let q(a) = -a**3 - a**2 + 3*a. Let v be q(x). What is the greatest common divisor of v and 6? 3 Let t = 40 + -16. Suppose u + 44 = 3*d, -2 = 2*d - u - 30. What is the highest common factor of t and d? 8 Suppose 5*a - 757 = -152. What is the highest common factor of a and 11? 11 Let f = 132 - 94. What is the highest common factor of 2 and f? 2 Let r = -1 - -2. Let s(w) = 2*w + 41. Let q be s(-19). Calculate the highest common divisor of r and q. 1 Suppose -3*i - 2*i = 5. Let r(n) = -21*n**3 - 1. Let l be r(i). What is the greatest common divisor of l and 5? 5 Let z be 299/6 - 3/((-36)/2). Let s(r) = 20*r. Let f be s(1). Calculate the greatest common factor of z and f. 10 Let j(f) = 16 - 3*f - 3*f - 21 + 5*f. Let s be j(-7). Suppose 2*d - 70 = -3*d. What is the greatest common divisor of d and s? 2 Let r = 34 - 19. Calculate the highest common factor of 3 and r. 3 Let s = -40 - -96. Let h be ((-80)/s)/(2/(-14)). What is the highest common divisor of h and 90? 10 Let v = -93 + 104. What is the greatest common divisor of v and 88? 11 Let g = 121 + 44. Calculate the greatest common factor of g and 11. 11 Let f = 98 - 83. Calculate the greatest common divisor of 15 and f. 15 Let i = -87 - -107. Calculate the greatest common divisor of i and 30. 10 Let x(m) = -m**3 - 3*m**2 + m - 1. Let a be x(-4). Let y(s) = 40*s + 3. Let u be y(6). Let j = 342 - u. What is the highest common factor of j and a? 11 Let d be (-5)/(-1) + -2 - 0. Suppose 0 = -q - 5*s + 50, d*q - 32 = s + 54. Calculate the highest common divisor of 10 and q. 10 Let u(w) = 15*w - 1. Let f be u(7). Suppose 0 = z + g + 54, -3*z - 2*g - f = 53. Let y be ((-16)/8)/(2/z). Calculate the greatest common factor of 7 and y. 7 Suppose 0 = -2*j + 2*v + 200, 5*j - 3*v = 362 + 130. What is the highest common f
{ "pile_set_name": "DM Mathematics" }
*5 + 276*i - 3. -1331480*i**3 Find the first derivative of 216*l**3 + 2*l**2 + 2*l - 62706. 648*l**2 + 4*l + 2 What is the second derivative of 45753*q**2 + 1434*q - 4 wrt q? 91506 What is the second derivative of 2*n*v**3 - 6*n*v**2 - n - 3*v**4 - 895*v**2 + 2377965*v wrt v? 12*n*v - 12*n - 36*v**2 - 1790 Find the second derivative of 2*l**2*u + 13128*l**2 - 3214*l*u + u wrt l. 4*u + 26256 What is the second derivative of -142946*q*y**2 - 4*q*y - 51*q + 16*y - 1 wrt y? -285892*q What is the second derivative of 1671005*i**2 + i - 493816 wrt i? 3342010 What is the first derivative of 16*f**3*m + f**3 - 3772*f**2 - 16*f + 53221*m + 1 wrt m? 16*f**3 + 53221 What is the derivative of 123*f**2*k**2 + 99*f**2 + k**2 + 29*k - 21 wrt f? 246*f*k**2 + 198*f Find the second derivative of 6*c**2*p*w**3 - 127*c**2*p - 61*c**2*w**3 + 31*c*p*w**3 + 66*c*p*w**2 + 2*c*p + 11*c*w + 2*p*w**2 wrt c. 12*p*w**3 - 254*p - 122*w**3 Find the second derivative of 1149*f**5 + 2*f**4 - 2*f**3*i - 3*f*i + 40*i - 144 wrt f. 22980*f**3 + 24*f**2 - 12*f*i Differentiate -12*m**4*s - 107*m**2*s*z - 5*m*s*z - 2*s*z + 446*s + 284 with respect to m. -48*m**3*s - 214*m*s*z - 5*s*z What is the second derivative of g*h**3 - 20563*g*h*r**2 + 2*g*h*r - 27*h**3*r**2 - h**3*r + 2*h**2 + 15086*h*r wrt r? -41126*g*h - 54*h**3 Find the second derivative of 12382*u**3 + 10*u**2 + 14*u - 15758. 74292*u + 20 What is the second derivative of 49716*a**2 + 32914*a? 99432 Find the second derivative of 343*j**2 + j + 249603. 686 Find the second derivative of 1498585*p**2*r**2 + 56*p**2*r + 980*p*r wrt r. 2997170*p**2 Differentiate 5109*n*p**2 + n*p + 811583*n + 2*p**2 - p with respect to p. 10218*n*p + n + 4*p - 1 What is the first derivative of -212*c**2*x + 48685*c**2 - 87*c*x wrt x? -212*c**2 - 87*c What is the first derivative of -403369*f*m - 7*f - 1712 wrt m? -403369*f What is the second derivative of 228*z**3 - 80*z**2 - 3295*z - 19? 1368*z - 160 Find the second derivative of 3*h**5 - 3212*h**4*w - 794*h*w - 27*h wrt h. 60*h**3 - 38544*h**2*w Find the third derivative of 51306*z**3 - 6*z**2 + 890*z - 1 wrt z. 307836 Differentiate -6*f*t - 50059*f - 4017*t - 3 with respect to t. -6*f - 4017 Find the first derivative of 6445*l*r**3 + l*r**2 + 3*l*r + l - 30090*r**3 - 12*r**2 wrt l. 6445*r**3 + r**2 + 3*r + 1 Differentiate -i**2*n*s**2 + 2*i**2*n*s + i**2*q - 4*i**2*s + 8*i*n - 45908*n*q*s**2 - 2*n*s + 6 with respect to q. i**2 - 45908*n*s**2 Find the third derivative of 4*r**5 + 248*r**3 + 38458*r**2 wrt r. 240*r**2 + 1488 What is the second derivative of -382*y**5 + 33*y**2 - 746*y + 33? -7640*y**3 + 66 What is the second derivative of -7*n**2*v**3 + 1197*n**2*v**2 + n**2 + 2*n*v**3 - 47326*n*v**2 + 2*n - 12*v**2 wrt n? -14*v**3 + 2394*v**2 + 2 Find the second derivative of 492*b**4 - 22*b**3 - 1014*b + 14 wrt b. 5904*b**2 - 132*b Find the third derivative of -2*h**3*k**2*m + 52796*h**3 - 5*h**2*k**2*m + 79*h**2*k**2 - 24*k*m wrt h. -12*k**2*m + 316776 What is the second derivative of 180*d**3 - 695*d**2 + 337477*d wrt d? 1080*d - 1390 Differentiate 57507*n*t**2*x + 43*n*t**2 - t**2*x - 2*t**2 + t - 10*x + 59 wrt n. 57507*t**2*x + 43*t**2 What is the second derivative of -197*a**5 + 723*a**4 - 802007*a? -3940*a**3 + 8676*a**2 Differentiate 46*l**3*v*x + l**3*v + 507*l**2*s**2*v*x - l**2*s**2*v + 5*l - 192*s**2*v with respect to x. 46*l**3*v + 507*l**2*s**2*v What is the first derivative of -216305*b + 335990? -216305 What is the first derivative of 38894*u**4 + 2*u + 94883 wrt u? 155576*u**3 + 2 What is the second derivative of 12*d*j**4 - 2*d*j + 15134*j**4 + 209406*j wrt j? 144*d*j**2 + 181608*j**2 Find the second derivative of 959335*l**3 + 1377322*l. 5756010*l Differentiate 2*b**2*i**2 + 21*b**2 + 25*b*i**2 - 565*b + 588*i + 1 wrt i. 4*b**2*i + 50*b*i + 588 What is the third derivative of -47*n**2*q**3 + 2970*n**2*q**2 - 2*n**2*q + 352*n*q**3 + 3*n*q**2 + 2*q**2 wrt q? -282*n**2 + 2112*n Find the second derivative of 276051*y**2 - 272736*y. 552102 What is the third derivative of -129346*r**3 + 122204*r**2 wrt r? -776076 Find the second derivative of -130075*o**2 - 1600*o + 40 wrt o. -260150 Differentiate 2*n**4 + 40388*n**3 - 741505 with respect to n. 8*n**3 + 121164*n**2 Differentiate 6708*g*j - 77511*g + 5*j with respect to j. 6708*g + 5 What is the second derivative of 2852681*j**3 + 2973794*j wrt j? 17116086*j Find the first derivative of -5131509*g**2 - 1421357. -10263018*g Find the second derivative of -43*k**3 - 84*k**2 - 44*k. -258*k - 168 Find the third derivative of -2*l**6 - 68473*l**5 - 750339*l**2 - 2*l wrt l. -240*l**3 - 4108380*l**2 Find the third derivative of 55567*s**5 + 2*s**3 + 38903*s**2 wrt s. 3334020*s**2 + 12 Find the third derivative of 21*m**5 + 45*m**4 - 68*m**3 + 340418*m**2 wrt m. 1260*m**2 + 1080*m - 408 Find the third derivative of 51*l**6 - 628*l**5 - l**3 - 666242*l**2 wrt l. 6120*l**3 - 37680*l**2 - 6 Find the second derivative of -39446*h**2 - 65575*h wrt h. -78892 What is the derivative of 4965*d**3*f**2 + 53216*d**3 + 3*d*f**3 wrt f? 9930*d**3*f + 9*d*f**2 What is the second derivative of q**4 - 2076*q**3 - 8*q**2 - 201*q + 62 wrt q? 12*q**2 - 12456*q - 16 What is the third derivative of 57507*c**3 - 116218*c**2 wrt c? 345042 What is the derivative of 6521*j**3 + j**2*y**3 - 16*y**3 + 1086*y wrt j? 19563*j**2 + 2*j*y**3 Find the third derivative of 203019*q**3 + 30978*q**2 - 2*q. 1218114 Find the first derivative of -195*a*l**2 + 2*a*l - 6*a - 94542*l**2 wrt a. -195*l**2 + 2*l - 6 What is the third derivative of 71*o**6 + 2325*o**4 + 609102*o**2 wrt o? 8520*o**3 + 55800*o Find the third derivative of -100546*o*p**3 + 3*o + 204557*p**2 wrt p. -603276*o Find the third derivative of 6325*d*x**4 + 1350*d*x**2 - 4*d - x**4 + 4*x**2 wrt x. 151800*d*x - 24*x Find the third derivative of 5*q**6 + 302*q**4 - 309*q**2 + 362 wrt q. 600*q**3 + 7248*q Differentiate 104*h*x**3 - 552*h*x - 1237*x**3 - 20*x**2 - x with respect to h. 104*x**3 - 552*x What is the second derivative of -3302*i**4 - 54*i**2 - 1109348*i wrt i? -39624*i**2 - 108 Find the third derivative of -160*d**3*p**3 - d**3*p - 19*d**3 + 83*d**2*p**2 + 117*p**3 wrt p. -960*d**3 + 702 Find the third derivative of 81504*w**4 - 7*w**3 - 224268*w**2 wrt w. 1956096*w - 42 What is the second derivative of 420*a**2*b**3 + 309*a**2*b + 2*a**2 + 2*a + 11*b**2 wrt b? 2520*a**2*b + 22 Find the second derivative of 10*a**4 + 309*a**3 - 52086*a. 120*a**2 + 1854*a Find the first derivative of -1410263*q**3 - 1197962. -4230789*q**2 What is the first derivative of 120847*a*b + 290859*b wrt a? 120847*b Find the third derivative of -29*w**6 - 572*w**3 + 2*w**2 - 3700*w - 2. -3480*w**3 - 3432 What is the third derivative of -65*c**3*g**3*u - 167*c**3*g*u + c**2*g + 250*c*g**3*u + 10*g**2*u wrt c? -390*g**3*u - 1002*g*u Differentiate 4*c*m**3*y - 113*c*m**3 + 19*c*y - 19*m**3*y - m**2 - 79*y wrt c. 4*m**3*y - 113*m**3 + 19*y Find the second derivative of -1196272*c**3 - 6417629*c wrt c. -7177632*c Find the third derivative of -64*v**5 - 1308*v**3 - 139227*v**2 wrt v. -3840*v**2 - 7848 Find the second derivative of 4203*t**4 + 72142*t. 50436*t**2 What is the third derivative of 66613*z**4 + 4*z**3 - 967*z**2 - z - 44? 1598712*z + 24 What is the derivative of -1253674*m**3 + 1237966 wrt m? -3761022*m**2 What is the first derivative of -739962*y**2 + 504813 wrt y? -1479924*y Find the second derivative of 5227*f*l*u**2 + f + 2673*l*u - l + 5*u**2 + 2*u wrt u. 10454*f*l + 10 Find the third derivative of 65029*s**4 - s**3 - 306*s**2 - 52*s + 2. 1560696*s - 6 Differentiate 3660*m**3 + 50242 wrt m. 10980*m**2 Find the third derivative of 65156*d**4 + 11193*d**2. 1563744*d What is the third derivative of 3*f*o**4 - 13*f*o**3 - 103*f*o**2 - 103*o**5 - 138*o wrt o? 72*f*o - 78*f - 6180*o**2 What is the second derivative of -243839*w**2 - 1244461*w wrt w? -487678 Find the first derivative of -10*c**2*f**3 + 718*c**2*f - 989*c**2 + 2*c + 1 wrt f. -30*c**2*f**2 + 718*c**2 Find the third derivative of 167*h*u**5 - 15*h*u**2 - 8*u**5 + 313*u**2 - 3*u wrt u. 10020*h*u**2 - 480*u**2 What is the derivative of 138221*p - 238125 wrt p? 138221 What is the third derivative of 533*c**4*s**2 - 3*c**3*s**2 + 24*c**3 + 7*c**2*s**2 + 8*c**2*s
{ "pile_set_name": "DM Mathematics" }
17 + (15 - (1 + 5)). -8 -4 - (-1 + -4 + 1) 0 6 - (1 + 3) - (1 + -1) 2 What is the value of 7 + 0 + 0 + -5 + 3? 5 Evaluate 5 + 4 + -4 - -2. 7 Evaluate 3 - 2 - (12 + -9) - 3. -5 Evaluate (0 - -1) + (13 - 11). 3 (13 - (-7 + 6)) + -6 + -2 6 Calculate -3 + (6 - 8 - -4). -1 Calculate 7 + -2 + (12 - 23). -6 Calculate -15 + 21 - (2 - 0 - -2). 2 Evaluate 53 + -49 + (-1 - -5). 8 What is 3 + (-1 - -1) + -1 + -5? -3 1 + 1 + -3 + -3 + 5 1 Evaluate -11 + 1 - (-152 - -142). 0 What is the value of 60 + -69 - (1 + -10)? 0 -2 + 2 + -1 + 5 + 3 7 -7 + 7 + (3 - 2) 1 What is (4 - (-6 + 7)) + -10 + 11? 4 What is the value of -4 - (-4 - -1 - (1 + -3))? -3 Evaluate -11 - (-1 + -16 + 9). -3 Calculate -9 + (19 + -2 - 3). 5 Calculate -13 + 15 + 7 + -13. -4 What is the value of 16 + -10 + (1 - 4) + -5? -2 What is 11 + -26 + 17 + 0? 2 Calculate 4 + -11 - -6 - -5. 4 Calculate 4 + (2 - 14) + 5. -3 Evaluate -8 + (0 - -1 - -6) + -6. -7 Calculate -27 - -36 - (3 - -2). 4 Evaluate (11 - (-5 + 6)) + -6. 4 (4 - 6) + 8 - 1 5 Calculate 5 + (-5 - 0) + 5. 5 What is the value of -3 - (1 + -9 + 6)? -1 Calculate -10 + (0 - -9) - -3. 2 What is (3 - 1 - -2) + -6? -2 What is (0 - -1) + -4 - 1 - 1? -5 Evaluate -1 - ((1 - 0) + (3 - 11)). 6 Evaluate -1 - (-5 - -4) - 0. 0 What is -4 + (-3 - -2) + 3 + -2? -4 Calculate -12 + 10 - (0 - -3). -5 Calculate (-1 - (-8 + 1)) + 2 + -4. 4 Calculate (-6 - (-11 + 2)) + (1 - 10). -6 (-16 - -21) + 1 + -5 1 3 - 3 - (6 - 8) 2 Calculate (-2 - (-5 - -2)) + 3 - -1. 5 Calculate (-1 - -1) + (29 - 3 - 34). -8 (-6 + -3 - -14) + -12 -7 Calculate (5 - 0) + (-14 - -8). -1 What is the value of (4 - (6 + 8)) + (2 - -2)? -6 What is -4 + (1 - 5) + (-3 - -6)? -5 Evaluate (3 - (-4 + 5 + 1)) + -5. -4 What is the value of 25 + (-41 - -15) - (7 - 0)? -8 Calculate 11 - (-2 + 8 - 1). 6 -3 + (1 - 4) + 2 + 2 -2 What is 1 - (1 + -3 + (-5 - -10))? -2 Evaluate -8 - (6 - (4 + -1) - 6). -5 1 - (3 - ((0 - 1) + 2)) -1 Calculate (13 - 6) + (0 - (2 + 0)). 5 What is 3 - (3 - -11 - (-12 + 19))? -4 What is the value of 4 - (0 + 6 - 10)? 8 Evaluate 1 - (0 + 0) - (8 + -9). 2 What is -1 + 0 - ((-5 - -11) + -10)? 3 Evaluate (-20 - -24) + 1 + -2 + 0. 3 -2 + -3 + (-1 - -10) 4 What is the value of 1 + -2 + 0 + 1? 0 3 - ((6 - 2) + -1) 0 What is (8 - (-9 + 22)) + 8? 3 Evaluate 0 + (5 + -3 - (1 - 2)). 3 Evaluate 0 - (0 + 2 + 15 + -19). 2 Evaluate ((-10 - -5) + -2 - -15) + -6. 2 -4 + -5 + 10 + 4 5 (11 - (0 + 3)) + -7 1 What is (7 + -3 - 4) + (-3 - -2)? -1 What is -10 - -16 - (-1 - -2 - -1)? 4 Evaluate 4 + -4 + 0 - (0 - -1). -1 -2 + (-11 - -7) + 3 -3 What is the value of 6 - (8 + -2) - (1 + -2)? 1 What is 8 + -25 + -15 + 29? -3 What is 12 - (2 + (4 - -10))? -4 -2 + -3 + 13 + -4 4 -2 - -1 - (5 + -8 + 2) 0 Evaluate -63 + 78 - (-1 - -14). 2 What is (14 - 1 - 9) + 1 + -4? 1 Evaluate -4 + (4 - -4 - 4 - -5). 5 Evaluate -7 + -5 + 9 + -3 - -1. -5 What is the value of -49 + 50 - (2 + -2)? 1 Calculate (25 - 21) + -1 + -5. -2 What is -7 - (-2 + 2 - (7 + -6))? -6 What is the value of -11 - -3 - ((-12 - -6) + 6)? -8 What is 14 + -5 + -8 + 1? 2 (6 + 1 - -2) + 3 + -7 5 What is (-2 - -4) + -3 + -1 - -2? 0 Calculate 3 - (22 - 12 - 11). 4 What is -2 + -4 + -7 + 5? -8 9 + (-17 - -8) - (2 + -2) 0 What is 4 + 4 + -14 + -4 + 1? -9 What is 2 + (9 - 5) + -5 + 2? 3 Calculate -1 + (-1 - (5 - (-1 + 3))). -5 What is the value of -8 - (7 + -19 + -1)? 5 61 + -57 - (-4 + 1) 7 What is -1 - 4 - -4 - 3? -4 Calculate -1 + -1 + (-4 - -2). -4 2 + -4 + 13 + -6 5 Evaluate (12 - (-10 + 20)) + -5. -3 What is 1 - (2 + -1 + (-3 - -2))? 1 Evaluate 0 - (7 - 7 - (2 - 7)). -5 Evaluate -1 - 0 - (-2 - (4 - 1)). 4 Evaluate 8 + (2 - 4) + -11 + 10. 5 Calculate -1 + (1 + 2 - (-2 + 3)). 1 (9 + -6 - (4 + -7)) + -2 4 What is the value of (-6 - -12 - 5) + -3? -2 What is -7 + 4 - (1 + 1)? -5 What is (-1 - 3 - -7) + -2? 1 What is 4 - (-4 - (2 + -5))? 5 0 + (-3 - -5) + -1 1 8 + (-14 - -8 - -6) 8 Evaluate -5 + -7 + (10 - (-1 + 5)). -6 What is the value of 5 + -5 + (-6 - -1)? -5 Calculate 3 - (7 - (0 - -1 - -2)). -1 Calculate -9 - (0 + -5 + -3). -1 Evaluate -1 - (-10 - -5 - -2). 2 What is the value of 3 + 4 + -3 + -8 + -2? -6 What is (-1 + 1 - (-17 - -11)) + 1? 7 Calculate (0 - (3 + -3 - 0)) + -3. -3 What is the value of (18 - 7) + -6 - (0 - -9)? -4 Evaluate -3 + 5 - ((5 - -5) + -6). -2 Calculate 2 + -4 + (-1 - (-6 + -2)). 5 What is the value of 3 + (5 - (1 - -3))? 4 What is -36 + 37 - (-6 - (3 - 3))? 7 Calculate -8 + 5 + -7 + 4. -6 5 - 4 - (-4 + 8) -3 2 - 1 - (17 - 13) -3 -1 - (-4 - 1 - -1 - -6) -3 What is 4 + -11 + 1 - -4 - 3? -5 Evaluate -10 + -1 - (-5 + -5 - -6). -7 Calculate 2 - ((0 - -4) + (4 - 9)). 3 What is the value of -10 - (1 + -6 + -1)? -4 What is the value of 1 - (2 + -7 + 5 + 0)? 1 Evaluate 215 + -213 - (1 - 0). 1 Calculate 6 + (-10 + (7 - 5) - -4). 2 Calculate (1 - (9 + -4)) + -2 - -3. -3 Calculate 2 - ((-1 - 1) + 4). 0 What is -6 + -2 + 16 + -5? 3 What is the value of -6 + 11 + (5 - (4 - 2))? 8 Evaluate 6 - 13 - (-2 - -1) - -1. -5 Evaluate 11 + (7 + -12 - -1). 7 -1 + -2 - (0 + -1) - 0 -2 What is the value of -4 - (2 + -2) - -9? 5 Evaluate -8 - (-4 + -7 - 0). 3 What is 7 + (-2 + -2 - (-19 + 17))? 5 Calculate 11 + -12 - (2 - -1). -4 Evaluate 1 + 2 + 3 + -1 + -2. 3 What is 2 + 1 - (29 + -24)? -2 What is (-2 - -2) + -7 + (-8 - -15)? 0 -18 + 7 + 1 + 5 -5 What is the value of (2 - 1) + 2 - (8 + 0)? -5 3 + -4 + 5 - (-3 + 3) 4 What is 1 + 0 - (5 + 3 + -4)? -3 -2 + (-3 - ((3 - 2) + -2)) -4 Evaluate -4 + (-1 + 4 - (-10 + 4)). 5 Calculate (1 - -2) + 13 + -19 + 6. 3 -5 + (7 - (6 - 3)) -1 Evaluate -1 + 0 + -1 + 5. 3 Evaluate (2 - (1 - -3)) + 19 + -14. 3 What is the value of (6 - 6 - 6) + 4? -2 What is the value of 1 + 7 - ((16 - 27) + 16)? 3 Calculate 1 + -6 + (3 + 6 - 9). -5 What is -12 + 2 + 2 - -4? -4 Evaluate -4 + 6 + (0 - -2) + 1. 5 -2 + (0 + -6 - -3) + 4 -1 Evaluate -2 - (0 - -5 - 4). -3 Evaluate 3 + (2 - -1) + -4. 2 What is (-4 - ((2 - 4) + 3)) + 2? -3 -1 + -3 + 9 + -3 2 Evaluate 9 + -13 - (-6 - -1). 1 Evaluate (9 - (4 + -1 - -2)) + -6. -2 Calculate 4 + -5 - (8 + 4 + -6). -7 What is 4 + -3 + 4 + -4 + 1? 2 What is the value of (-16 - -19) + (4 - 5)? 2 Calculate -1 + 9 + -5 - 4. -1 Calculate (-2 - 3 - -7) + (1 - -2). 5 (-2 - (-1 - 1)) + -3 -3 Calculate (-3 - (-7 - (5 - 17))) + -1. -9 Evaluate (4 - (7 + 7)) + 11. 1 What is 3 + 1 + -2 + -8 + 2? -4 1 + 9 + -2 + -5 3 What is -2 + 2 + 0 - (-6 - -5)? 1 What is the value of -7 + 4 + -2 + 2? -3 Calculate 4 + (-7 - -5) + -3. -1 Evaluate 1 + (1 - -4) + -7. -1 Evaluate (5 - 4) + 1 + -3. -1 Calculate 7 + -4 + 5 + -5. 3 Calculate (0 - (-4 - -3)) + -8. -7 Evaluate -7 - (-2 - 5 - -2). -2 What is the value of -2 - (-9 + 4 - (0 - 1))? 2 What is the value of (3 - -1) + (-98 - -88)? -6 Evaluate 7 - (9 + (-1 - 3)). 2 Evaluate (3 - -2) + 62 + -75. -8 -1 + (-6 - -6 - (-3 - -4)) -2 What is the value of 0 - 1 - (-7 + 3)? 3 Calculate -1 + 2 + 3 - 12. -8 What is -2 + (10 - 6) + -11 - -6? -3 -4 + 4 + 3 - 1 - 3 -1 35 + -26 - (2 + 9) -2 What is the value of (10 - 1 - 1) + -11 + 7? 4 1 - ((1 - (0 + 2)) + 2) 0 What is the value of 9 + (-20 + 16 - (-1 - -1))? 5 (8 - 8 - 14) + 22 8 What is the value of 2 + 4 + (-1 - 2) + -6? -3 Calculate 0 + 4 - (-4 - -5) - 8. -5 What is the value of 3 + -7 - 0 - -1? -3 Evaluate 5 + -10 - (-2 + -2 + 0). -1 -5 - (-2 - (-1 - 0)) -4 -3 + 11 + -2 + -3 3 What is -53 + 56 - (-5 - -1)? 7 What is the value of -19 + 13 + (7 - 0)? 1 What is 5 - 6 - (3 + (-4 - 2))? 2 What is -1 - -4 - (-3 + 5) - -3? 4 Calculate -1 + -4 + 14 + -14 + -3. -8 Evaluate 10 - (-3 - -6) - 1. 6 Evaluate -11 - (11 + -2 + -22). 2 What is the value of 6 - (5 + 3 + -7)? 5 What is the value of (-8 - 2) + -3 + 7? -6 Evaluate (0 - -2) + 25 + -17. 10 (-15 - -7) + 11 - 8 -5 What is (14 - 1 - 14) + -4? -5 -2 + 1 - (-2 + 4 + -3) 0 Calculate -4 - (5 + (0 - 4)). -5 -4 + 0 + 17 + -10 3 0 - -4 - (-1 - (-7 - -5)) 3 What is 3 + (-2 - (3 - 1)) - 3? -4 0 + (0 + 0 - (2 - 0)) -2 -4 - 2 - (-1 - (0 - -2)) -3 Calculate (-2 - (1 + 0)) + -6 + 5. -4 Evaluate -9 + 6 + -10 - (-11 - -4). -6 What is the value of -2 + -1 + (0 + -1 - -4)? 0 What is -6 + (-3 - -5 - 0)? -4 4 + (-2 + 1 - 6 - -2) -1 Calculate -8 - (5 + -13 - 3). 3 Calculate -5 - (-6 - -1 - -4). -4 Evaluate 2 - 1 - 0 - -1 - 4. -2 (-8 - 2) + 12 + -1 + -4 -3 Evaluate 7 - 2 - ((-8 - -2) + 7). 4 What is -3 + (2 - 4)
{ "pile_set_name": "DM Mathematics" }
erivative of h(u). Find v, given that j(v) = 0. 1 Suppose -x = 2*f + 1, 3*x - 3 = 2*f - 14. Let r be f/((-4)/(-1) + -1). Factor 0*n - n**3 - r*n**2 + 0 + 4/3*n**4. n**2*(n - 1)*(4*n + 1)/3 Let t(c) be the second derivative of 0*c**4 - 1/30*c**6 + 0 + 0*c**3 + 0*c**2 - 1/30*c**5 + 2*c + 10/63*c**7. Let t(w) = 0. Calculate w. -1/4, 0, 2/5 Find z such that 0 - 2/3*z**3 + 0*z**2 + 0*z + 0*z**4 + 2/3*z**5 = 0. -1, 0, 1 Let a = 8 + -6. Let t = -1/22 + 13/44. What is u in -1/4 - t*u**a - 1/2*u = 0? -1 Factor 0*f**3 - 3/5*f**4 + 6/5*f**2 + 0*f - 3/5. -3*(f - 1)**2*(f + 1)**2/5 Let m be 2/(-4) + (-10)/(-4). Suppose -n - 5 = -m*n, -4*b - 3*n = -23. Factor -y + y + y**b. y**2 Suppose -5*i + 7 + 3 = 0. Factor -4*r**i - 2*r**4 - r**4 + 2*r - r**4 + 8*r**4 - 2*r**5. -2*r*(r - 1)**3*(r + 1) Let f(z) = z. Let r(s) = 4*s**2 - 14*s + 4. Let k(g) = 6*f(g) + r(g). Factor k(d). 4*(d - 1)**2 Let f(u) be the second derivative of u**9/1512 - u**8/840 - u**7/420 + u**6/180 - u**3/3 - u. Let r(p) be the second derivative of f(p). Factor r(k). 2*k**2*(k - 1)**2*(k + 1) Suppose -9*y = -13 - 5. Suppose -2/5*a - 2/5 + 4/5*a**y = 0. What is a? -1/2, 1 Let w(h) be the third derivative of -h**8/112 - h**7/70 + h**6/20 + h**5/10 - h**4/8 - h**3/2 + 6*h**2. Suppose w(n) = 0. What is n? -1, 1 Suppose 0 = k + d + 5, -3*k - 4*d - 12 = 8. Find q such that -2*q**2 + k*q**2 + q + 4*q**2 - q**2 - 2 = 0. -2, 1 Let h = 57/5 + -41/5. Solve 1/5 + 8/5*d + h*d**2 = 0. -1/4 Let r(l) = -l**4 - 5*l**3 - 23*l**2 - 19*l - 5. Let q(y) = -2*y**4 - 8*y**3 - 34*y**2 - 28*y - 8. Let g(k) = 5*q(k) - 8*r(k). Suppose g(s) = 0. What is s? -2, -1, 0, 3 Let v(h) be the second derivative of -h**7/2940 + h**6/1260 + h**5/420 - h**4/84 + h**3/3 - 4*h. Let d(o) be the second derivative of v(o). Factor d(i). -2*(i - 1)**2*(i + 1)/7 Let u be 91/(-13) - 36/(-5). Determine b so that 2/5*b**2 - 2/5 + u*b**3 - 1/5*b = 0. -2, -1, 1 Suppose 4*l - 11 = -3. Solve 2/9*s**l + 0 + 2/9*s - 2/9*s**3 - 2/9*s**4 = 0. -1, 0, 1 Factor -1/2*h**3 + 0 + 1/4*h**5 + 0*h**2 - 1/4*h**4 + 0*h. h**3*(h - 2)*(h + 1)/4 Let g(q) be the third derivative of 2/15*q**3 + 0 - 4/75*q**6 - 8/175*q**7 - 2*q**2 + 0*q + 1/25*q**5 - 3/280*q**8 + 3/20*q**4. Let g(s) = 0. What is s? -1, -1/3, 2/3 Suppose 2*t - 3 = 1. Let g(n) be the second derivative of -7/6*n**3 + 0 - 1/2*n**t + 2*n - 2/3*n**4 + 4/5*n**5. Factor g(h). (h - 1)*(4*h + 1)**2 Factor 2/11*k**2 + 8/11*k**3 + 0 + 10/11*k**4 + 4/11*k**5 + 0*k. 2*k**2*(k + 1)**2*(2*k + 1)/11 Let o(i) be the second derivative of i**5/2 - i**4/3 - 15*i. Let o(r) = 0. What is r? 0, 2/5 Let a(m) be the second derivative of m**4/48 + 7*m**3/24 - 23*m. Factor a(n). n*(n + 7)/4 Let t(l) be the third derivative of l**7/945 + l**6/54 + 11*l**5/90 + 10*l**4/27 + 16*l**3/27 + 17*l**2. Factor t(z). 2*(z + 1)**2*(z + 4)**2/9 Let t(c) = -3*c**2 + 9*c - 12. Let s(q) = 1. Let a(z) = -6*s(z) - t(z). Find p such that a(p) = 0. 1, 2 Let b be 2 + (-2)/(-3 + 1). Suppose 2/3*z**b - 8/9*z**4 - 2/3*z - 2/9 + 10/9*z**2 = 0. What is z? -1, -1/4, 1 Let i(y) be the second derivative of -y**7/21 + y**5/10 + 11*y. Factor i(m). -2*m**3*(m - 1)*(m + 1) Suppose 3*l + 0*l = 30. Let y be l/4*(-36)/(-45). Solve 1/4*x + 1/4 - 1/4*x**y - 1/4*x**3 = 0 for x. -1, 1 Let v = -6 - -3. Let h be (v + 1 - -2)/2. Factor h + 2/7*y**3 + 2/7*y + 4/7*y**2. 2*y*(y + 1)**2/7 Let i be (-32)/(-36)*((-6)/(-4) + 0). Factor -8/3*w**2 + 5/3*w**3 - 1/3*w**4 + 0 + i*w. -w*(w - 2)**2*(w - 1)/3 Let m = -21 - -25. Suppose m*y = -0*y + 8. Solve 23/3*z**2 - 4/3 - y*z + 7/6*z**4 - 11/2*z**3 = 0 for z. -2/7, 1, 2 Let g(y) be the third derivative of 3*y**2 - 1/120*y**4 + 0 + 0*y + 1/150*y**5 + 0*y**3. Solve g(t) = 0 for t. 0, 1/2 Let d(j) be the first derivative of 49*j**5/10 + 847*j**4/32 + 10*j**3 - 13*j**2/4 - 2*j - 40. Suppose d(w) = 0. Calculate w. -4, -2/7, 1/4 Let r(q) be the third derivative of 0 + 0*q + q**2 + 0*q**3 + 1/30*q**5 - 1/120*q**6 + 0*q**4. Suppose r(v) = 0. What is v? 0, 2 Let i(c) be the third derivative of c**7/1260 + c**6/720 - c**5/180 + 7*c**2. Find t such that i(t) = 0. -2, 0, 1 Let d(f) be the third derivative of f**5/60 - f**4/24 - f**3/3 + f**2. Let d(w) = 0. What is w? -1, 2 Suppose 0 = 3*d - n + 29, 0 = 2*d - 3*n + 33 - 9. Let p = -7 - d. Factor -6 + 2*h**2 + h**p - 7*h**2 - 9*h + h**2. -3*(h + 1)*(h + 2) Suppose 18*i = 7*i. Let c(v) be the first derivative of i*v**2 + 2 + 0*v**4 + v + 1/5*v**5 - 2/3*v**3. Solve c(d) = 0 for d. -1, 1 Suppose 2*y = -4*j - j + 16, -19 = -5*y - 2*j. Let z(i) = -i**3 + 6*i**2 - 5*i - 2. Let m be z(4). Solve 2*p**y + 9*p**2 + 8 - 39*p**2 - 24*p - m*p**3 = 0. -2, 1/4 Let q be (2/(-7))/(2/(-14)). Suppose q*z - 4*z = 2*f - 18, f + 6 = 2*z. Factor -s**2 - 3*s**z + 4*s**5 + s**3 + 2*s**3 - 3*s**4. s**2*(s - 1)**3 Let m(u) be the third derivative of -u**2 + 0*u**3 + 0*u**6 + 1/40*u**5 + 0 + 0*u - 1/140*u**7 + 0*u**4. Factor m(v). -3*v**2*(v - 1)*(v + 1)/2 Factor 0*i**4 - 8*i**3 - 8 - 2*i**2 + 8*i**2 + 8*i + 2*i**4. 2*(i - 2)**2*(i - 1)*(i + 1) Let a be 1/(-1) - -5 - 1. Suppose -2*v + 7*v = 10. Determine m, given that 0 - 1/2*m**v + 1/2*m**a - 1/2*m + 1/2*m**4 = 0. -1, 0, 1 Let n(b) be the third derivative of b**7/42 - b**6/12 - b**5/3 + 5*b**4/12 + 5*b**3/2 - 2*b**2 - 10. Suppose n(a) = 0. What is a? -1, 1, 3 Suppose -1/8*m**2 + 1/4*m + 0 - 1/8*m**3 = 0. Calculate m. -2, 0, 1 Let r(s) be the third derivative of s**7/42 + s**6/12 - s**5/12 - 5*s**4/12 + 10*s**2. Factor r(p). 5*p*(p - 1)*(p + 1)*(p + 2) Let m(u) = -9*u**3 - u**2 - u + 6. Let g(s) = 11*s**3 + s**2 + s - 7. Let n(o) = 5*g(o) + 6*m(o). Factor n(k). (k - 1)**2*(k + 1) Let k be (-2 + (-8)/(-6))*9/(-36). Solve -1/6*q**2 - k*q**3 + 1/6*q + 1/6 = 0 for q. -1, 1 Find v such that -12*v**3 + 10*v**3 + v**3 - v**4 = 0. -1, 0 Let w(y) be the first derivative of y**7/21 - y**6/3 + y**5 - 5*y**4/3 + 5*y**3/3 - y**2 + 2*y + 2. Let b(h) be the first derivative of w(h). Solve b(f) = 0. 1 Let f(k) be the first derivative of 2*k**5/35 - 4*k**3/21 + 2*k/7 + 2. Factor f(w). 2*(w - 1)**2*(w + 1)**2/7 Let g be -8 + (9 - 4) + 5. Let u(j) be the third derivative of 1/240*j**6 + 0*j**5 - 4*j**g - 1/48*j**4 + 0 + 0*j + 0*j**3. Suppose u(i) = 0. Calculate i. -1, 0, 1 Let k(i) be the second derivative of i**4/48 + i**3/4 + 9*i**2/8 + 3*i. Let k(o) = 0. What is o? -3 Let v(k) = -k**3 + 3*k**2 + 2. Let n be v(3). Factor -2/3*z + z**4 - 1/3*z**n + 4/3*z**3 + 0. z*(z + 1)**2*(3*z - 2)/3 Let c = -3 - -5. Factor 2*t + 3*t**3 + 2*t + 9*t**2 + c*t. 3*t*(t + 1)*(t + 2) Let h be -1*(-18*1 + 1). Let r = 17 - h. Find i, given that r*i - 6/7*i**4 + 4/7*i**3 + 2/7*i**2 + 0 = 0. -1/3, 0, 1 Let u(v) be the third derivative of 5*v**8/12096 - v**7/1512 + v**6/2160 + v**5/30 + 3*v**2. Let j(h) be the third derivative of u(h). Factor j(m). (5*m - 1)**2/3 Let c(g) be the second derivative of -g**8/1176 - g**7/735 + g**6/420 + g**5/210 - 2*g**2 + 4*g. Let d(u) be the first derivative of c(u). Factor d(i). -2*i**2*(i - 1)*(i + 1)**2/7 Let i(f) be the second derivative of 0 - 2/3*f**2 - 3*f + 5/18*f**4 - 1/3*f**3. Factor i(m). 2*(m - 1)*(5*m + 2)/3 Let s(i) be the third derivative of -i**8/784 + i**7/98 - i**6/28 + i**5/14 - 5*i**4/56 + i**3/14 + 7*i**2. Factor s(o). -3*(o - 1)**5/7 Let k(i) be the first derivative of -3*i**5/5 - i**4 + i**3/3 + i**2 + 24. Let k(w) = 0. Calculate w. -1, 0, 2/3 Let -3/8 + 9/8*q**2 + 5/4*q - 1/2*q**3 = 0. Calculate q. -1, 1/4, 3 Let f(g) be the second derivative of -g**6/30 + g**5/10 - g**3/3 + g**2/2 + 27*g. Factor f(d). -(d - 1)**3*(d + 1) Let o(t) be the third derivative of t**8/20160 - t**7/2520 + t**6/720 - t**5/360 + t**4/8 - 4*t**2. Let g(v) be the second derivative of o(v). Factor g(w). (w - 1)**3/3 Let g(k) be the second derivative of k**4/84 - k**3/42 - 8*k. Factor g(i). i*(i - 1)/7 Let m = 0 - -3. Let 6*a**4 - 4*a**m + 2*a**2 + 4*a**3 - 2*a**5 - 6*a**3 = 0. What is a? 0, 1 Suppose -3*u + 4*v = 10, 0 = -5*u + 2*v + 2 - 0. Solve 0*a + 0 - 2/13*a**u - 2/13*a**5 - 6/13*a**4 - 6/13*a**3 = 0. -1, 0 Let n be -4 - 0 - (-50)/15 - -1. Suppose -2/3*o**2 + o - n - 2/3*o**3 + o**4 - 1/3*o**5 = 0. What is o? -1, 1 Suppose 16/3 + 10/3*w**3 + 1/3*w**4 + 40/3*w + 11*w**2 = 0. Calculate w. -4, -1 What is s in -1/3*s**2 - 2/3 + s = 0? 1, 2 Determine k, given that -2*k**4 - 3*k**2 + 2*
{ "pile_set_name": "DM Mathematics" }
232158867425918. Let n = u + -5053402224. Let z = -21 + n. What is z rounded to seven dps? -0.0000001 Let k = 260.064 + -266. Let v = 6 + k. Round v to two dps. 0.06 Let c = -0.45174 - -209.44174. Let l = c + -215. What is l rounded to one dp? -6 Let f be (-7)/(-3) - (-2)/3. Suppose 0 = 4*r + f*c - 2*c + 14, 3*c - 3 = 3*r. Let j(z) = -1534*z - 2. Let t be j(r). Round t to the nearest 1000. 5000 Suppose 10*b = 16*b - 24. Suppose 9*k - 95 = b*k. Round k to the nearest 10. 20 Let v = -0.044 + -6.046. Let h = 0.94 + v. Round h to one decimal place. -5.2 Let z = 0.584 - 0.5839351. What is z rounded to 5 dps? 0.00006 Suppose 0*d = 4*d. Suppose -2*j - j = d. Let l(t) = -t**2 - 2*t - 260. Let o be l(j). What is o rounded to the nearest 100? -300 Let d be -10*(-3)/((-30)/(-4)). Suppose 20 = 4*o - d*r, 3*o - 4 = -2*r - 14. Suppose -2*t - 3*t - 670000 = o. What is t rounded to the nearest ten thousand? -130000 Let x(y) = y + 11. Let n be x(-6). Let i be 3303/n + (-6)/10. Suppose 0 = -4*v + 2*v + i. What is v rounded to the nearest 100? 300 Let q = -0.5 - -1. Let r = q - 0.45. Let p = -0.050002 + r. What is p rounded to five decimal places? 0 Let v = -2767 - -1828.5. What is v rounded to the nearest one hundred? -900 Let k = 843.995 + -844.3050008. Let g = k + 0.31. What is g rounded to 6 decimal places? -0.000001 Let w = 1198.5624 + -1067.58. Let d = 131 - w. Round d to 3 dps. 0.018 Let o(k) = 305*k**3 + 12*k + 8. Let u be o(-7). Let p = 795309 - u. What is p rounded to the nearest 1000000? 1000000 Suppose -20*w + 30853046 + 147146954 = 0. What is w rounded to the nearest 100000? 8900000 Let c be 2377802/6 - ((-102)/18)/(-17). What is c rounded to the nearest ten thousand? 400000 Let o = -166 - -169. Suppose q + 389097 = -o*t, 3*t + 2*q = -0*q - 389094. What is t rounded to the nearest ten thousand? -130000 Suppose 2*d - 4*q - 162 = 0, -d + q = d - 159. Let j = 200 - d. Suppose 0 = -2*v + 17 - j. What is v rounded to the nearest ten? -50 Let r = -3.9365 + -27.06325. Let l = r - -31. Round l to four dps. 0.0003 Let t = 194.48985 + -192.7898257. Let d = 158.7 + -157. Let v = d - t. Round v to 6 decimal places. -0.000024 Let t = -893663044 - -893581317.0014. Let m = -81734 - t. Let n = -7 - m. What is n rounded to three decimal places? 0.001 Let a = -20 - -35. Let k be a/(-15) - (-6598)/(-2). What is k rounded to the nearest one thousand? -3000 Let g = -4251 + 4251.0000003986. What is g rounded to seven dps? 0.0000004 Let o = -51 - -15. Let l = o - -36.00000092. Round l to 7 dps. 0.0000009 Suppose 0 = m + 2*a - 636314 + 2594826, 5*m - 3*a = -9792534. Let g = -1318508 - m. What is g rounded to the nearest 100000? 600000 Let t = -0.27 + 0.042. What is t rounded to two decimal places? -0.23 Suppose -p - u + 4 = 0, -4*u = -2*u - 8. Suppose 3*z - 5*k - 22635 = p, -7547 = -z + 5*k - 4*k. What is z rounded to the nearest one thousand? 8000 Let n = -0.027 + 25.027. Let j = 81 - n. Let q = 55.67 - j. Round q to one decimal place. -0.3 Suppose -5 = a + 5*h, -3 = -a + 2*h + h. Suppose a = -10*u + 6*u - 72800000. What is u rounded to the nearest 1000000? -18000000 Let z = 0.8057 + -0.853. What is z rounded to 2 decimal places? -0.05 Let l = 0.2673994486 + -0.2674. Round l to seven dps. -0.0000006 Let v = -4.51 - -0.11. Let i = v + 4.39999939. What is i rounded to 7 decimal places? -0.0000006 Let s = -6.9 + -307.1. Let q = -313.843 - s. Round q to two dps. 0.16 Let a = 356.99999638 - 357. What is a rounded to six decimal places? -0.000004 Suppose -3*j - 2*j + 15 = 0. Suppose -3*p + o + 15 = 0, -5 = p - j*p - o. Suppose t - 850000 = -p*t. What is t rounded to the nearest 10000? 170000 Let f = -6298 + 21828. Round f to the nearest one thousand. 16000 Let h = -8 - -13. Suppose -g - 103 = -3*g + h*j, g = -4*j + 19. Suppose -4*l - g = 1. What is l rounded to the nearest ten? -10 Let t = -0.13 + -18.07. Let v = t + 2.2. Let p = v - -29.5. Round p to zero decimal places. 14 Let c = -562425 - -117425. Round c to the nearest one hundred thousand. -400000 Let l = -22816 - -36916. Round l to the nearest one thousand. 14000 Let l = 0.26968 - -11.33732. Let m = l - 11.7. Let z = 14.007 - m. What is z rounded to 0 decimal places? 14 Let j = -0.37 + 0.13. Let t = j + 0.94. What is t rounded to one dp? 0.7 Let l be (0 + 4 - 3)*2. Suppose -115020 = 5*b - l*g - 2*g, b = -2*g - 22990. What is b rounded to the nearest 1000? -23000 Let q = 18.7 + -18.693. Round q to three decimal places. 0.007 Let y = -165364789.06506868 + 165364792. Let g = -36.93489912 + y. Let b = g - -34. What is b rounded to 6 decimal places? 0.000032 Let w be ((-7657)/19)/(6/(-4) + 2). What is w rounded to the nearest one hundred? -800 Let f = -21.18 - -0.18. Let h = f - -21.27. Round h to 1 decimal place. 0.3 Let v be (6/18)/((-1)/(-64041)). Suppose -6615 = 4*i - 3*k - 117239, 4*i = -5*k + 110592. Let j = v + i. What is j rounded to the nearest ten thousand? 50000 Let y = -0.009 - 1.78. Round y to one dp. -1.8 Let b = -1991 + 1986.23. Round b to 1 decimal place. -4.8 Let a = -16 - -18. Let y be (-1)/4 - a/(-8). Suppose 45600000 = -y*q - 4*q. Round q to the nearest one million. -11000000 Let i = -4.05668 + 13.05659. Let l = 9 - i. Round l to 4 decimal places. 0.0001 Let d = 43917021 + -43917032.0000035. Let a = -38 + 27. Let t = a - d. Round t to six decimal places. 0.000004 Let h = -323.000791 + 323. What is h rounded to 4 decimal places? -0.0008 Let u(t) = -615002*t**3 + 4*t - 2. Let p be u(1). Round p to the nearest ten thousand. -620000 Let i be (4 - 3)*(1549 - (2 - 1)). Suppose 5*t + i = -1152. Round t to the nearest 100. -500 Let u = -34.00000592 - -34. What is u rounded to six decimal places? -0.000006 Let l = 28.800051 + -28.8. Round l to five decimal places. 0.00005 Let z = -483.5 + 503.51. Let t = z - 0.01. Let r = t + -20.00028. Round r to 4 decimal places. -0.0003 Let u(m) = -1001*m**2 + 9*m - 20. Let z = -16 + 20. Let s be u(z). What is s rounded to the nearest ten thousand? -20000 Let r(x) be the first derivative of x**4/4 - 8*x**3/3 - x**2 - 13. Let d be r(9). What is d rounded to the nearest ten? 60 Suppose -11 = -5*q - 5*y - 31, 5*y - 5 = 0. Let s be (-2)/(8/4919998) + q/10. Round s to the nearest 100000. -1200000 Let m = -1981.79 + 1990. Let w = m + -0.21. Let s = w + -8.034. What is s rounded to 2 dps? -0.03 Let q(u) = -u + 2. Let v be q(5). Let j(h) be the second derivative of 2833333*h**3/3 - h**2 + h - 1. Let s be j(v). What is s rounded to the nearest 1000000? -17000000 Let w = -2181 + 2171.43. Round w to 1 decimal place. -9.6 Let o(g) = -g**2 - 12*g - 11. Let l be o(-9). Let q(b) = l + 29*b**2 + 18 - 30. Let h be q(-2). Round h to the nearest 100. 100 Suppose 38*j = 7424994 + 17674006. Round j to the nearest 10000. 660000 Let v = -92 - -92.000004207. Round v to 7 decimal places. 0.0000042 Let c(d) = 178907*d**2 - 3*d - 24. Let p be c(8). What is p rounded to the nearest one million? 11000000 Let m = 8020032.007136 - -701443.392978. Let g = m + -8721484. Let c = 8.6 + g. Round c to five dps. 0.00011 Let c = 28.2384 + 0.0616. What is c rounded to the nearest integer? 28 Let j(b) = -7827*b**3 - 17*b + 36. Let m be j(9). Round m to the nearest 100000. -5700000 Let t = -74.4268 - 28.5605. Let o = -103 - t. What is o rounded to three decimal places? -0.013 Let o = -573 + 219. Let f = o + 354.0000619. What is f rounded to 6 decimal places? 0.000062 Let x(y) = -64*y**2 - y - 7. Let j be x(-3). Round j to the nearest 100. -600 Let y = -1.1305 - -64.1005. Round y to the nearest integer. 63 Let n be (80/6)/(5/(-15)). Let p be ((-6)/4)/(15/n). Let s be 200/(-3)*(-78)/p. Round s to the nearest 1000. 1000 Let q = 499.01 - 506. What is q rounded to one dp? -7 Let o = 1241 + -1240.92492. Let v = 0.078 - o. What is v rounded to 4 decimal places? 0.0029 Let k = 1321.99990048 - 1322. Round k to six decimal places. -0.0001 Let y = -4073 + 4072.999993409. What is y rounded to seven dps? -0.0000066 Suppose -29 = 2*c - 5*v, -144 + 31 = 5*c + v. Let q = c - -9. Let p be 48/(-9)*q*-93750. Round p to the nearest 1000000. -7000000 Suppose 0 = -5*z - c - 10300005, -4*c = 3*z - 2235315 + 8415335. Round z to the nearest one million. -2000000 Let w = -1.82649706 + 30.82651596. Let z = w + -29. What is z rounded to six d
{ "pile_set_name": "DM Mathematics" }
ggest value in 3, 56567, 1? 1 What is the fourth smallest value in 1/2, 26, -2/1541, 0.1, 5, 0.4? 1/2 What is the sixth biggest value in 6, 5/6, 3, 0.3, -178, 1? -178 Which is the sixth biggest value? (a) 4/345 (b) -6 (c) -1 (d) 4 (e) 1 (f) 16 b Which is the smallest value? (a) -1 (b) 38 (c) -1/3 (d) 2 (e) 2/3 a What is the fourth biggest value in -2/7, 5/179, 2, -5/3? -5/3 Which is the fifth biggest value? (a) -1 (b) 1/4 (c) 1 (d) 149 (e) 0 (f) -1/5 f What is the fourth biggest value in 52/7, 63, 2/7, -4? -4 What is the third smallest value in -4/3, 0.6, 1/8, -1/6, -114? -1/6 What is the third biggest value in 0, 2, -3, 3/5, -1.22? 0 What is the third biggest value in 4.061, -0.4, -2/7, 4? -2/7 What is the second smallest value in 0.25, -0.0287, -0.27, 2? -0.0287 What is the biggest value in 1, 0.7, -5, 1.2, 13/2? 13/2 What is the third smallest value in 2, 5, -120, 0.2, -4, 106? 0.2 Which is the biggest value? (a) -530 (b) 4/3 (c) -123 (d) -3/4 b Which is the second smallest value? (a) 224 (b) -3/2 (c) 47 (d) -4 b What is the fourth smallest value in -4/3, 0.4, -0.4, -3822, 0? 0 Which is the third biggest value? (a) -1 (b) 369/4 (c) 0.09 (d) 5/4 c Which is the third smallest value? (a) -1 (b) 0.1 (c) -1/287 (d) 10 b What is the second biggest value in -1/631, 1/2, 7? 1/2 Which is the third biggest value? (a) 133.9 (b) 11 (c) 2/9 c Which is the sixth biggest value? (a) -1/11 (b) -4/5 (c) -1/3 (d) 3 (e) -3/2 (f) -3/10 e What is the second smallest value in 2, -8987, -15/11, 0.4? -15/11 Which is the second smallest value? (a) -13 (b) 0.1 (c) 1.62 b Which is the fourth smallest value? (a) 0.1 (b) -3/7 (c) 3 (d) -2/527 (e) 0 a What is the smallest value in 4, 61, -1/31, 5, -0.2, -2/11? -0.2 What is the fourth biggest value in -1, -2, -0.4, 24.4, 2/33, 0.3? -0.4 What is the fifth smallest value in 4, -2, -0.1, 1/2, -0.0146, 0.03? 1/2 Which is the second biggest value? (a) -84/5 (b) 3 (c) -56 a Which is the fifth biggest value? (a) -837/7 (b) 2 (c) -0.2 (d) 0.4 (e) 5 (f) 4 c Which is the third smallest value? (a) 5 (b) 2/9 (c) 17 (d) -3 (e) -0.2 b What is the fourth biggest value in -1/10, -2/131, -5, -13/12, -3, 4/5? -13/12 Which is the sixth biggest value? (a) -5/3 (b) 2 (c) 264 (d) -0.4 (e) 7 (f) 1/7 a What is the second biggest value in 1/5, 306, 38, 1? 38 Which is the fourth smallest value? (a) -73 (b) -0.4 (c) 15 (d) -42/13 c Which is the biggest value? (a) 2/51 (b) 0.4 (c) 5/161 b Which is the sixth smallest value? (a) -71/18 (b) 0.3 (c) 4 (d) 2/9 (e) 5/3 (f) 1 c What is the second smallest value in 16/9, 1/3, -80/7? 1/3 Which is the biggest value? (a) -2 (b) 7 (c) 1/3 (d) 2582/7 d Which is the third biggest value? (a) -1/5 (b) 298 (c) 34 a What is the second biggest value in -40, 38/9, 0.3, -5? 0.3 Which is the smallest value? (a) -150/59 (b) -2 (c) -22 (d) -3 c What is the third biggest value in -4, 2/3, 1/4, -2/15, -9, 1/134? 1/134 What is the second biggest value in 3/4, -2, -5, -65.71? -2 What is the biggest value in 2, 2/9, -121, 0, 29? 29 Which is the fourth biggest value? (a) -590 (b) 4 (c) 0.5 (d) -2/9 a What is the second biggest value in 1/4, 6/5, -22110, -1/11? 1/4 What is the third smallest value in 113.4, 3/7, 1/3, 6, 11? 6 What is the second smallest value in -4/3, -11.51, 29? -4/3 Which is the biggest value? (a) 0.02 (b) 3 (c) -38.4 (d) 2/9 (e) -0.05 (f) 4 f Which is the smallest value? (a) 1/4 (b) 16.5 (c) 229 a Which is the smallest value? (a) 3 (b) -1/38 (c) 20122 b Which is the biggest value? (a) -1/5 (b) 4 (c) 1 (d) 2/7 (e) -2/751 b What is the biggest value in -2/3, -5, 82363, 8, -1/2? 82363 Which is the third biggest value? (a) -3 (b) 0.4 (c) 1/5 (d) -1144/23 (e) -0.3 e What is the fifth smallest value in 0.06, 1/2, 17, 6, 0.2, -2/9? 6 What is the third biggest value in -57, -1, -2/17, 3, 2/59? -2/17 What is the third biggest value in 0, -56, -0.1, -57, 0.4, 1/5? 0 What is the fourth smallest value in 5, 1, -0.1, -1, -4, -1/2? -0.1 What is the third biggest value in -9, -0.5, -10/13, 184/17? -10/13 What is the second smallest value in 7/5, -0.3, -7229? -0.3 What is the second smallest value in -1/5, -968, 0.01, -0.1, 2/5? -1/5 Which is the fourth biggest value? (a) 2 (b) 0 (c) 0.1 (d) -5 (e) -0.2104 e Which is the second biggest value? (a) 0.06 (b) -0.3 (c) 4/7 (d) 3 (e) 203 d Which is the second biggest value? (a) -19 (b) -0.3 (c) -9 (d) -237 c What is the third smallest value in 0.5, 5, -0.06, -62, 6, 0? 0 Which is the fourth biggest value? (a) 3 (b) -2/3 (c) 2 (d) 65 b Which is the third biggest value? (a) 8 (b) -2 (c) 1/6 (d) 2/19 (e) -304 (f) -1.3 d What is the second biggest value in -2/11, -2/99, 2/5, 5, -2/23? 2/5 Which is the fifth biggest value? (a) -0.1 (b) 1 (c) -0.5 (d) -3 (e) 51 (f) 0.048 c What is the second smallest value in 2, -54, -68.9? -54 What is the fifth biggest value in 4/9, 3/8, 6, -2/9, -2, -0.13? -2/9 What is the fifth biggest value in 5, -1, -61, 1, 0.308, 0.5? -1 What is the second biggest value in -37, 2/11, 9/2, 47, 4/5? 9/2 Which is the smallest value? (a) -14 (b) 0.1 (c) -0.02 (d) 0.3 (e) 6 (f) 0.2 a Which is the sixth smallest value? (a) -0.5 (b) -3 (c) -1/5 (d) -5 (e) -667/2 (f) -7/5 c Which is the fourth smallest value? (a) -1 (b) 5 (c) -174 (d) -3 (e) 4 (f) -4 a Which is the fourth smallest value? (a) 2 (b) -1 (c) -0.9 (d) -1.023 a What is the third smallest value in 5, 224/11, -71? 224/11 What is the third biggest value in -5, -0.1, -8/2349, -0.5? -0.5 Which is the third biggest value? (a) 0.3 (b) 3 (c) 0 (d) -25 (e) -2/29 (f) 1 a What is the third smallest value in -1, 3, 4, -17, 0.2? 0.2 Which is the second smallest value? (a) 1 (b) -165.1 (c) -2/11 (d) -1 d What is the third smallest value in -0.3, 0, 3/7, -11, -2/15, -27? -0.3 What is the fourth smallest value in 4, -0.29, -249.6, 2? 4 Which is the third smallest value? (a) -2/7 (b) 0 (c) -50 (d) 0.0176 (e) -3 a Which is the fourth biggest value? (a) -0.054 (b) -0.2 (c) -0.6 (d) 1.6 c Which is the third biggest value? (a) -3 (b) -4864 (c) 40 b What is the second smallest value in -855, 3/5, -57? -57 What is the second biggest value in 0.1, -77, -2/87, 3, -3/5? 0.1 Which is the second biggest value? (a) -2/11 (b) -0.3 (c) -1/54 (d) 3 (e) 25 (f) 2/11 d What is the fourth biggest value in -12, 0.2, 5, 4, -104? -12 Which is the fourth smallest value? (a) -0.4 (b) 8.2327 (c) 2 (d) -5 (e) 0 c What is the second smallest value in 931, 11, -0.3? 11 Which is the third biggest value? (a) 35.1 (b) 2 (c) -0.515 c Which is the third smallest value? (a) 93 (b) -15.467 (c) 0.4 a Which is the third smallest value? (a) -241 (b) -1/3 (c) 511 (d) 0.01 d Which is the smallest value? (a) 0.3 (b) 5/13 (c) -1 (d) 4/49 c What is the fourth biggest value in -2, 1/4, -2956/3, 5? -2956/3 Which is the biggest value? (a) -2728 (b) 0.4 (c) -0.3 (d) 1/5 b Which is the second biggest value? (a) 458 (b) -12 (c) 4 c Which is the third smallest value? (a) -0.99 (b) -0.02 (c) -1 (d) 2 b Which is the third smallest value? (a) -310/17 (b) 2 (c) 1/2 (d) -0.2 c What is the biggest value in -4, 6, -2/7, -10, -2.7? 6 Which is the second smallest value? (a) -13 (b) -0.3 (c) -0.1294 b Which is the fourth smallest value? (a) 24 (b) 0.3 (c) -7/2 (d) 0.5 (e) -27 d What is the second smallest value in 1/7, 108, -421? 1/7 Which is the smallest value? (a) -16 (b) 0.3 (c) 0.5516 (d) -3 a What is the fifth smallest value in 3, 102, -3, -3/5, 137? 137 Which is the third biggest value? (a) -2 (b) 2 (c) 128/9 a What is the smallest value in 1.2, -24.3, 3? -24.3 What is the biggest value in -2/3, 1/37672, 5? 5 What is the second smallest value in -0.4, 2/7, 72, 0.5, -185? -0.4 Which is the third biggest value? (a) 4 (b) 135 (c) -3 (d) -0.3 (e) 3/2 e Which is the sixth smallest value? (a) -238 (b) 3/7 (c) 0.5 (d) -0.4 (e) -12 (f) 1 f What is the fourth smallest value in -0.1, 7, -0.06, -2/11, -196? -0.06 What is the second biggest value in -1, 0.4, -52.28, 0.1? 0.1 What is the smallest value in -2/5, 23, -943, 4/3? -943 Whi
{ "pile_set_name": "DM Mathematics" }
-144 - -1010/7. What is the nearest to 1 in r, j, 0.2? r Let d be (1/1)/(3/15). Which is the closest to -2/5? (a) d (b) 13 (c) -1/5 c Suppose -142*f + 144*f + 4 = 0. Let z = -0.32 + 0.3. Let c = 1.98 - z. What is the nearest to c in -0.4, 2, f? 2 Let g = 10 + -11. What is the closest to g in -0.2, 4, -1? -1 Let k = 55 + -55.3. What is the nearest to 0 in 0.06, k, 2? 0.06 Suppose 3*z + z = 5*i + 30, -i = -4*z + 22. Suppose 0 = -z*w + 4*w + 7. Let j be 2/w - 0/(-1). Which is the nearest to 1? (a) 0.5 (b) j (c) 3 a Let t = 2 + -5. Let k = -6.44 + 0.14. Let m = k - -6. Which is the nearest to 1/3? (a) 1 (b) t (c) m c Let m = -1 + 0. Let r = m - -5. Which is the closest to 1? (a) r (b) -0.2 (c) -2/5 b Let i = 0.021 - 4.821. Let d = i + 0.8. Let t = -260/1197 - 2/399. What is the nearest to -0.1 in -0.4, d, t? t Suppose -3*m - 5 = -2*m. Let g be 12/(-10)*(-2)/(-4). Which is the nearest to 0? (a) g (b) 3/8 (c) m b Let j = 0.5 + -10.5. Let g = j - -5. Let c = -71 + 495/7. What is the nearest to 0 in g, c, 1? c Let f = -28.8 + 62.2. Let l = 30 - f. Let o = l - -0.4. What is the nearest to 1 in o, 0.4, -3/2? 0.4 Let h = -77.5 - -78. Which is the nearest to -3? (a) -0.1 (b) 1/7 (c) h a Let u be ((-4)/14)/(3/7). Let g be (-8)/(-10)*(-165)/66. What is the nearest to g in u, 0.4, 2? u Let q = 1.32 + 0.08. Let y = 79 - 77. What is the nearest to -0.1 in y, q, 0.5? 0.5 Let j = 0.3 - 0.31. Let r = j - 1.99. Let q be (-27)/6*1/(-3). Which is the closest to 0.1? (a) r (b) q (c) 0 c Let c = 13.008 + -0.008. What is the nearest to c in 0, 0.2, -3? 0.2 Let i = -1 - -2. Let g = 3.178 + -0.178. Which is the closest to 0.05? (a) -2/9 (b) g (c) i a Let b = 10 + -6. Let n = -0.4 + 0.2. Let r = -76 + 230/3. What is the nearest to r in 2, n, b? n Let u = -18 + 22. What is the closest to 0 in 0.2, u, 2/3? 0.2 Let d = -239/10 - -47/2. What is the closest to 1 in -2, d, -3? d Let l = 0 + -1. Let d be (-1 - 42/(-15)) + l. Let t = d - 11/20. What is the nearest to 0.1 in t, -0.2, 0.3? t Let c be (-1 + 3)*-2 - -32. Let l be (-3)/12 + (-133)/c. What is the nearest to 3 in -1/3, l, 5/3? 5/3 Let j = -33 + 98/3. Let g = 0.01 + 1.99. Suppose 2*s + t - 2 = 3, 40 = 4*s - 4*t. What is the nearest to -2 in s, g, j? j Let x = -43 - -17. Let w = x - -21. Which is the nearest to -1/5? (a) w (b) -2 (c) -3 b Suppose -7*s = -2*s - 20. Suppose -1 + s = 3*y. Let w = -0.1 - 0.1. Which is the nearest to w? (a) 0 (b) -3 (c) y a Let s = 21 - 41/2. Suppose 2*y - 5*y = -6. Suppose -1 = y*z + 9. Which is the closest to 2/3? (a) z (b) 4 (c) s c Let p be (-24)/14 - (-2)/(-7). Let q = 0.8 + -0.9. Let s = -0.3 + -0.2. What is the nearest to q in -1/4, p, s? -1/4 Let l = 1.06 - 0.06. Let j = 1.5 - l. Which is the closest to 1? (a) 4 (b) j (c) -2/9 b Let x = -9 - -9. Let w be 2 + 52/(-14) + 2. Which is the closest to x? (a) 1/5 (b) 3/5 (c) w a Let j = -0.4 - -0.3. Which is the nearest to -1/5? (a) -1/4 (b) j (c) 0 a Let m = -0.2 + 0.3. Let z = 9 + -11. Which is the closest to m? (a) z (b) -5/6 (c) -0.1 c Let j = -0.11 - -9.11. Let s = j + -8.9. Let h = 2 - 4. Which is the nearest to s? (a) -4 (b) h (c) 1/2 c Let w = -0.3 - -0.3. Let s = w + -3. Let z = -12 + 17. Which is the closest to s? (a) z (b) -0.4 (c) -2/7 b Let i be 2 + (1 - 645/228). Let x = 3/38 + i. Let u = 3 - 0. Which is the nearest to x? (a) -2/15 (b) u (c) 2/13 c Let b = -3 - -2. Let y be (-22)/10 - ((-84)/15)/(-7). What is the nearest to b in -2/5, -2/9, y? -2/5 Let k = 10.8 + -10. Let m = k + -1.1. Let w = -18 - -18.3. Which is the closest to -1/3? (a) w (b) m (c) 3 b Let j = 1/9 - -2/9. What is the nearest to 1 in j, -5, 3? j Let p = -14 - -14. What is the nearest to 1 in 5, p, -1/3? p Let o = 48 + -146/3. Which is the closest to -0.1? (a) 0.2 (b) 1/4 (c) o a Let p = 0.3 - 0.3. Let k = 1.2 - 0.7. Let y = k - p. Which is the closest to -2/11? (a) -0.5 (b) y (c) 2 a Let j = -0.048 + 5.048. Which is the nearest to 2/7? (a) j (b) -2 (c) 0.06 c Suppose 5*q - 5 = j + 23, -5*q + 3*j + 34 = 0. Let y = 8633/92 - 94. Let o = y + -2/23. Which is the closest to o? (a) 1/2 (b) -1/2 (c) q b Let y = -117 + 115.79. Let u = y - -8.91. Let s = 8 - u. What is the closest to 0 in s, 2/15, 5/6? 2/15 Suppose -4*h - 7 = 3*j - 3, 0 = -4*h + 3*j + 20. Let v be 2*(-1)/h*3. Let i be 1/(-2) + (-2)/(-8). Which is the closest to i? (a) -4 (b) v (c) -2/11 c Let i = 6 - 31/5. What is the closest to -1 in -0.4, 0.2, i? -0.4 Let c(j) = -j**3 - 12*j**2 - j + 9. Let k be c(-12). Suppose -3*i + k = 4*i. What is the closest to i in 0.5, -2/7, -0.3? 0.5 Let u = -9 + 8.6. Let h = 17 - 18. Let i = 0.9 + -1. Which is the closest to i? (a) u (b) h (c) -1/8 c Let b = -90/7 - -13. What is the closest to 0 in -0.3, -1, b? b Let a be (-6)/2 + -4 + 2. Let f = 30 + -29.8. What is the closest to 1 in a, 1/11, f? f Let d = 30 - 208/7. Let t = -1 - -4. What is the closest to d in 2/15, t, 2/17? 2/15 Let g = 35 - 40. What is the closest to 2 in -4, g, -4/7? -4/7 Let v be 57/(-51) + 1 + (-54)/408. Which is the nearest to 2? (a) 0 (b) -1 (c) v a Let f = -0.003 - 0.097. What is the nearest to -1 in 0.1, -4, f? f Let p = 0.07 + 0.93. Let i = 3 - 3.8. Let l = 0.3 + i. What is the nearest to -1 in p, l, 0? l Let x be (-7)/42*2*1. Let f be (11 - 8) + (-34)/10. Which is the nearest to f? (a) -4 (b) x (c) -5 b Let y be -2 + 1/((-1)/(-24)). Suppose 0 = -r - 3*f - 12, -3*f = -4*r + y + 5. Which is the nearest to -0.1? (a) r (b) 1/2 (c) -0.2 c Let p = 18 - 18. Which is the closest to -2? (a) p (b) -1 (c) 0.2 b Let s(j) = -6*j - 4 + 9 + 3*j**2 - 2*j**2 + 3*j. Let x be s(3). Which is the closest to 1/2? (a) x (b) -1/2 (c) 0.6 c Let u be 6/(-4)*2/6. Let s = -0.02 - 0.28. Let m = 35 - 31. Which is the closest to u? (a) s (b) m (c) 0.4 a Suppose 13 - 11 = -k. What is the closest to k in -3/7, 2, -4? -3/7 Let u(o) = -o - 1. Let y be u(-6). Let p = 6 - 10. Let h = p - -3. Which is the nearest to h? (a) -2 (b) 2/11 (c) y a Let o = 9 + -8.9. Suppose 6*v - 35 = v. Let i be 0 + -3 - v/(-14). Which is the nearest to o? (a) -4 (b) i (c) 5 b Suppose 4*g = 8 + 4. Suppose q - 20 = -g*q. What is the closest to -0.1 in q, -3, 2/13? 2/13 Let d = -0.12 + 1.12. Let i be 6/(-3) + -2 - -1. Which is the closest to d? (a) 0 (b) i (c) -2/13 a Let i = 14.9 - 15. What is the closest to -1/3 in i, 1, 1/5? i Let u = 54 - 85. Let f be ((-21)/(-4))/(4/24). Let r = u + f. What is the closest to -0.1 in 3, r, 2? r Let m be (2/4)/(1/(-414)). Let x = m - -3517/17. Let q = 0.799 - 0.599. Which is the nearest to q? (a) 3 (b) -4 (c) x c Let y = -0.073 - -0.473. Let q = 0.3 + -0.2. What is the closest to q in -2/9, 4, y? y Suppose -4*x + g + 8 + 2 = 0, 4*x - 18 = -3*g. What is the nearest to 0.1 in -5, -0.5, x? -0.5 Let u be (1/(-2))/(100/(-120)). Let j = 158/63 - 20/9. What is the closest to -1/5 in -2, u, j? j Let q = 0.7 - 0.6. Which is the nearest to q? (a) -5/3 (b) 1/5 (c) 2 b Let z = -3.93 + -0.07. Let f = 0 + z. Let x = -0.42 - -0.02. What is the closest to 0 in x, f, -1/6? -1/6 Let y = -18 + 16. Let u = 0.59 - 0.19. What is the closest to y in 1/6, u, 1? 1/6 Let f = 0 + 0. Let r = -0.23 + -11.77. Let j = 12 + r. What is the closest to f in -3, j, 1/8? j Suppose -4 = -2*y + y. Suppose w - 2 - 2 = 0, -2*w + 3 = 5*i. What is the nearest to i in 1, y, 3? 1 Let w be (-1)/(-14) + (-2)/4. Let a(o) = -o - 1. Let u be a(3). Let x = 0.3 + 0.2. What is the nearest to 0.1 in w, x, u? x Let m = -0.15 - 3.85. Which is the closest to -0.1? (a) 0.2 (b) m (c) -1 a Suppose x + 0*x - o = -14, -2*o = -8. Let h be (-88)/170 + (-4)/x. Let d = 2 - 5. Which is the closest to 3? (a) d (b) h (c) 1 c Let o(d) = -d**3 - 3*d**2 + 5*d + 6. Let v be o(-4). Let i be 0 - (1 - (0 + 2)). Let g be v + (-2 - 0)/i. What is the closest to g in 3, 4, -1? -1 Let x = 2 + -7. Let k = 5381/20 + -269. Let c = -1/5 - k. What is the nearest to c in x, 0.1, -2/21? -2/21 Let m = 3 + -2.8. Let l = -13571 + 379107/28. Let q = l - -127/4. Which is the nearest to q? (a) 2/5 (b) m (c) -3 b Let p = 2 - 6. Which is the nearest to -0.2? (a) p (b) 0.1 (c) 3/5 b Let m be 3/5 + (5 - (-104)/(-40)). Which is the nearest to m? (a) 0.3 (b) -0.3 (c) -1/2 a Let g = -1.1 + 0
{ "pile_set_name": "DM Mathematics" }
n divisor of 184 and 6210. 46 Calculate the highest common factor of 91 and 39. 13 Calculate the greatest common factor of 194 and 2231. 97 What is the greatest common factor of 108 and 14958? 54 Calculate the greatest common factor of 136 and 459. 17 What is the greatest common factor of 24 and 5652? 12 Calculate the highest common divisor of 33 and 297. 33 Calculate the highest common factor of 77 and 21. 7 What is the greatest common factor of 72 and 104? 8 What is the greatest common factor of 140 and 160? 20 Calculate the highest common divisor of 52 and 299. 13 What is the highest common divisor of 937 and 1? 1 Calculate the greatest common divisor of 8 and 7. 1 What is the highest common factor of 38 and 2? 2 Calculate the greatest common factor of 120 and 144. 24 Calculate the greatest common divisor of 56 and 14. 14 Calculate the highest common factor of 136 and 864. 8 Calculate the greatest common factor of 75 and 90. 15 Calculate the greatest common factor of 10 and 1310. 10 Calculate the highest common divisor of 174 and 18. 6 What is the highest common factor of 3486 and 42? 42 What is the highest common divisor of 56 and 7336? 56 Calculate the highest common factor of 896 and 7. 7 Calculate the highest common divisor of 213 and 6. 3 What is the highest common factor of 180 and 160? 20 What is the highest common factor of 3815 and 436? 109 Calculate the greatest common divisor of 444 and 1184. 148 Calculate the greatest common factor of 60 and 810. 30 Calculate the highest common factor of 325 and 575. 25 What is the highest common divisor of 817 and 76? 19 What is the greatest common divisor of 253 and 5? 1 Calculate the highest common factor of 8 and 3160. 8 What is the greatest common divisor of 41876 and 29? 29 Calculate the greatest common factor of 213 and 355. 71 Calculate the highest common factor of 42 and 546. 42 Calculate the greatest common divisor of 320 and 55. 5 Calculate the greatest common factor of 5518 and 124. 62 Calculate the greatest common divisor of 126 and 1344. 42 Calculate the greatest common factor of 1092 and 84. 84 Calculate the highest common factor of 17 and 1581. 17 What is the highest common divisor of 70 and 80? 10 Calculate the greatest common divisor of 7065 and 90. 45 Calculate the greatest common factor of 345 and 6. 3 Calculate the greatest common divisor of 9 and 63. 9 What is the highest common factor of 473 and 154? 11 What is the highest common divisor of 4 and 12? 4 What is the greatest common factor of 117 and 26? 13 Calculate the greatest common divisor of 187 and 9163. 187 What is the highest common factor of 36 and 2724? 12 What is the highest common divisor of 243 and 2448? 9 What is the highest common factor of 209 and 1805? 19 What is the highest common factor of 54 and 198? 18 What is the greatest common factor of 2 and 162? 2 Calculate the highest common factor of 4 and 34. 2 What is the highest common factor of 341 and 11? 11 What is the highest common divisor of 42 and 28? 14 What is the highest common factor of 260 and 156? 52 What is the highest common factor of 864 and 27? 27 Calculate the highest common factor of 275 and 125. 25 Calculate the highest common factor of 6413 and 371. 53 What is the greatest common divisor of 272 and 1224? 136 What is the greatest common divisor of 84 and 126? 42 Calculate the greatest common divisor of 176 and 51568. 176 Calculate the greatest common factor of 17 and 306. 17 Calculate the highest common factor of 2218 and 8. 2 What is the highest common factor of 11518 and 26? 26 What is the highest common factor of 3160 and 380? 20 What is the greatest common factor of 340 and 136? 68 What is the greatest common factor of 95 and 4009? 19 What is the highest common factor of 182 and 658? 14 What is the greatest common divisor of 1143 and 254? 127 Calculate the highest common divisor of 28 and 28. 28 Calculate the greatest common factor of 646 and 153. 17 What is the highest common factor of 2607 and 66? 33 What is the greatest common factor of 33 and 2937? 33 What is the greatest common factor of 285 and 75? 15 Calculate the greatest common divisor of 108 and 156. 12 What is the greatest common factor of 368 and 128? 16 What is the greatest common divisor of 78 and 57? 3 What is the highest common divisor of 72 and 25596? 36 Calculate the greatest common divisor of 568 and 71. 71 Calculate the highest common factor of 405 and 60. 15 Calculate the greatest common factor of 244 and 366. 122 What is the highest common factor of 96 and 936? 24 Calculate the greatest common divisor of 20 and 975. 5 Calculate the highest common factor of 32 and 496. 16 Calculate the greatest common factor of 1136 and 80. 16 What is the greatest common factor of 21 and 203? 7 What is the greatest common divisor of 78 and 24? 6 Calculate the highest common divisor of 423 and 126. 9 Calculate the highest common divisor of 26 and 1586. 26 Calculate the highest common factor of 60 and 120. 60 What is the highest common divisor of 44 and 36? 4 What is the greatest common divisor of 265 and 25? 5 What is the highest common divisor of 84 and 8124? 12 What is the greatest common factor of 41 and 41? 41 Calculate the highest common divisor of 126 and 56. 14 Calculate the highest common divisor of 16479 and 9. 9 Calculate the highest common factor of 28580 and 60. 20 What is the greatest common divisor of 225 and 9? 9 Calculate the highest common divisor of 4 and 46. 2 Calculate the greatest common divisor of 116 and 3886. 58 Calculate the greatest common factor of 864 and 27. 27 What is the highest common divisor of 52 and 429? 13 Calculate the greatest common divisor of 35 and 28. 7 What is the greatest common divisor of 100 and 3700? 100 Calculate the highest common factor of 68624 and 16. 16 Calculate the greatest common factor of 36 and 174. 6 What is the highest common divisor of 51 and 255? 51 Calculate the highest common factor of 94692 and 156. 156 What is the highest common factor of 21 and 867? 3 Calculate the highest common divisor of 9088 and 128. 128 Calculate the highest common factor of 231 and 33. 33 What is the highest common factor of 1200 and 1248? 48 What is the highest common factor of 630 and 9? 9 What is the highest common factor of 135 and 15? 15 What is the highest common factor of 111 and 37? 37 Calculate the greatest common factor of 906 and 24. 6 Calculate the greatest common factor of 1896 and 48. 24 Calculate the highest common divisor of 3893 and 17. 17 What is the highest common divisor of 7825 and 25? 25 Calculate the highest common divisor of 30 and 15. 15 What is the highest common divisor of 1313 and 52? 13 Calculate the highest common factor of 98 and 14. 14 What is the highest common divisor of 75 and 600? 75 What is the highest common divisor of 414 and 54? 18 What is the greatest common divisor of 6 and 506? 2 What is the highest common factor of 2608 and 163? 163 What is the greatest common divisor of 10 and 160? 10 Calculate the greatest common factor of 254 and 889. 127 Calculate the greatest common factor of 672 and 288. 96 What is the greatest common divisor of 576 and 64? 64 Calculate the greatest common divisor of 140 and 924. 28 What is the highest common factor of 1815 and 105? 15 Calculate the highest common factor of 2835 and 30. 15 Calculate the highest common divisor of 55 and 3. 1 What is the highest common divisor of 431 and 5603? 431 Calculate the greatest common factor of 1188 and 132. 132 What is the greatest common divisor of 30646 and 44? 22 What is the greatest common divisor of 12 and 52? 4 Calculate the greatest common divisor of 369 and 205. 41 What is the highest common factor of 3682 and 15780? 526 What is the greatest common divisor of 208 and 16? 16 What is the greatest common factor of 24 and 54? 6 What is the highest common divisor of 32 and 27488? 32 What is the highest common divisor of 1026 and 114? 114 What is the highest common factor of 18 and 855? 9 What is the highest common divisor of 2984 and 8? 8 Calculate the greatest common factor of 7 and 28. 7 What is the highest common factor of 104 and 338? 26 What is the highest common factor of 3680 and 1? 1 Calculate the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
Let b(h) = -5*h**2 - 146*h - 117. Let k be b(-42). Which is greater: k or -2804? -2804 Suppose 3*w - 3*b = -54 + 663, 2*w = 3*b + 400. Which is greater: w or 215? 215 Let f(l) = l**2 + 4*l + 2. Let t be f(0). Suppose a = -11*z + 16*z + 2, -t*z = 8. Which is bigger: a or 16? 16 Let z = 5573/13 - 429. Suppose -3*n + 2 = 26. Let q be (-28)/(-224) + (-7)/n. Do q and z have the same value? False Let g = 217 + 9. Let u = g - 218. Is -12 at least as big as u? False Let l be 23/4 - 70/40. Suppose -y + 2 = -l*o, -4*y = o + 9 - 0. Is y smaller than -129? False Let p be 14/(-9912)*10011 + (-2 - (-22)/8). Which is smaller: -13 or p? p Let r be ((-6)/(-9) - 1)*(-7 + -8). Suppose -7 = -z + 3*t, -z + 2*t = -r*z. Is z at least as big as 2.5? False Let o = -4304 + 4303. Which is smaller: o or 2/13967? o Let o(z) = z**3 - 4*z**2 - z - 7. Let m be o(5). Let s = 1171 - 1046.2. Let r = 125 - s. Which is bigger: r or m? m Suppose 0*b - 6*b + 528 = 0. Suppose f - 262 = -3*y - 74, 0 = 3*f + 3. Let w = y - b. Is w not equal to -25? False Let o = 14354/23 - 624. Let f = 2.6 + -21.6. Let k = f + 18.8. Are o and k unequal? True Let z(c) = c**3 + 2*c**2 + 5*c - 389. Let k be z(0). Let j = -497 - k. Which is smaller: j or -110? -110 Let o = 1109/30 - 542/15. Which is bigger: -0.204 or o? o Let c(b) = -2*b**2 + 12*b - 3. Suppose 0*l + 23 = 3*l + 5*d, 3*l - d = 17. Let i be c(l). Let u be 3/1*i/9. Is u < -2/123? True Suppose 335*o + 944 = 104*o + 251. Which is greater: o or -163/37? o Let x = 80.24 - 79.24. Let k = -3 - -2.7. Let q = -0.4 - k. Which is greater: q or x? x Let m be (-14)/(-2) - (-80)/(-10). Let j be (1/(-582))/(5/(-20)). Which is bigger: m or j? j Let w = -225 + 236. Suppose -24*h + w*h = -793. Does 64 = h? False Suppose 2*n = -23 + 3. Let y be 1*(n + (2 - 5)). Let b be 7 + -4 + -7 + -7 - (-1 - -1). Which is greater: y or b? b Let i be (-8)/(-12)*1356/8. Suppose -i*a = -127*a - 4130. Which is greater: a or -296? a Let p = 2667 - 2541. Which is greater: 130 or p? 130 Let n = -3696/29 + 9021878/70789. Is n bigger than 1? False Let h(c) = -c**3 - 6*c**2 - 1. Let m be h(-6). Let b = -1240166/649605 - -1/59055. Which is smaller: b or m? b Let v = 157 - 160. Let t be ((-68)/(-8) - 1) + v. Let x be (1 - 0)*(-1 + 0). Is t bigger than x? True Let q(l) = -15 + 17 - 2*l - 28. Let n be q(2). Which is greater: -31 or n? n Suppose 0 = 5*k - 5*c - 8 - 37, 1 = 4*k + 3*c. Let t be k/(-8)*2/1. Let j be (10 - (-480)/(-35)) + 4. Which is smaller: t or j? t Let u = -25.9 + -0.1. Let x = u + 25.982. Let l = -14.982 + x. Is -0.1 at least as big as l? True Let w be (-5)/(-2*2/4). Let m be -3*(0 - w/(-1)). Let v = -1720 + 1706. Are v and m unequal? True Suppose -164*l - 161*l + 12656 = -333*l. Is -1582 <= l? True Let y be 656/20 + (-4)/20*3. Let j = y + -32. Is -2 at least as big as j? False Let y be -1 + 3 - (1 - (-684)/6). Let i = y - -114. Which is smaller: -13 or i? -13 Let u = -47 + 47. Let z = 1613181/319 - 5057. Is z smaller than u? True Let j(t) = -7*t - 17. Let c(i) = 20*i + 57. Let q(x) = 20*x + 56. Let l(g) = 5*c(g) - 6*q(g). Let y(u) = 17*j(u) - 6*l(u). Let a be y(0). Is 16 smaller than a? True Suppose -14 = 5*y - 4*y. Let h be (-4)/y - 2230/1190. Let t = -473/255 - h. Which is smaller: t or 1? t Let r be 10*2/(-4) - (-4 - -120). Let y be (-5 + 3)*11/r. Is y >= -3/11? True Suppose 16 = -5*t + 7*t + 2*v, 0 = -3*t + v + 40. Let j be (-3)/(2829/1255) - (t - 13). Let n = j - -10/41. Which is smaller: n or -1? -1 Let u(h) = 258*h**2 + 4*h - 2. Let j be u(1). Let y = j - 274. Which is greater: -19 or y? y Suppose 4*r = r + 717. Let b = 249 - r. Is b equal to 15? False Let t be (-4 + (-874)/(-4))/(1/(-10)). Let o be 4/(-6) + (-1397)/t. Let p(u) = -u**2 + 5*u + 5. Let k be p(6). Is o <= k? False Let o = -43382 - -6116863/141. Is 1 greater than o? True Let t = -3976 - -3977. Do t and -0.0648 have different values? True Suppose v + 8 = -3*t + 5*v, 0 = -3*v + 6. Let g be (-1 - 4)*-4 - (t + 0). Let p be -2 + g/15 + 2/(-6). Is p at most -5? False Let v be (6*(-6)/(-27))/(5 - (-22)/(-6)). Do -4/5427 and v have the same value? False Suppose 0 = -6*d + 17*d - 3014. Suppose 5*q - 3*o = -5*o - d, -4*o = 5*q + 268. Let n be q/(-32) + -2 + (2 - -1). Do 4 and n have different values? True Let f = 80 + -78. Let i(m) = -m**3 - 6*m**2 + m + 3. Let w be i(f). Suppose 0*x - 5*x = 130. Which is greater: w or x? x Let q be (0 - (-10)/(7 + -5))/(-5). Which is bigger: q or -1/10591? -1/10591 Let b(y) = 4*y - 33. Let q be b(-8). Let w = q - -48. Does -1 = w? False Let o = -156 - -159. Let f = 1.43 - 1.4. Let v = f + 0.01. Which is smaller: o or v? v Let i be 606/(-4)*(-2 + 260/(-5)). Let p = i - 24866/3. Are -108 and p non-equal? True Suppose -2*v = -5*w + 3*v - 105, -4*v = 4*w + 108. Let h(o) = -o**3 + 24*o**2 - 63*o - 30. Let t be h(21). Is w bigger than t? True Let v = 721.8302 + 0.1698. Let t = 717 - v. Does t = 1/6? False Let i = 4221 - 5869. Which is smaller: i or -1646? i Let c be 40/16*((-95)/25 - -3) + 3. Is -8/179 smaller than c? True Let l be (-2 + 3/2)*-2. Let o = -1348365212/57 - -23656191. Let w = 661 - o. Is l <= w? False Let g be 3/(12/15*255/136). Suppose -8*z - 760 = g*z. Is z greater than -77? True Let a = -341.1 + 366. Let i = -25 + a. Let c = 337 - 337. Is i at least c? False Let f = -4213.9 - -4198. Is 4 less than f? False Let v be 201/679 + 50/(-175). Suppose 5*z - 2*z = 0. Is z bigger than v? False Let m = -344.37 - -343.87. Does 70/9 = m? False Suppose -66*l = 29*l - 339 + 54. Let g(v) be the second derivative of -v**4/12 + v**3 - 2*v**2 - v. Let u be g(3). Is l > u? False Let a = -780 - -16375/21. Which is greater: a or -4/9? a Let s be (2 - -4)*6/(-24)*98. Let d be (0 + s/(-9))/((-3)/18). Which is bigger: d or -99? d Let n = 346 + -2670. Let b = -3928 - n. Let t = b + 139550/87. Which is smaller: t or -1? -1 Let q = -3 + 2. Let u be 16/128*(-78)/1313*(-64)/(-84). Which is smaller: q or u? q Suppose -9*x = 29*x - 1482. Let w = 96 - 58. Which is smaller: w or x? w Suppose 4*q + 28052 = -4*n, 3*q - n - n = -21069. Which is smaller: q or -7021? -7021 Let b = 110601/26 - 4254. Which is smaller: 20 or b? b Let r be 10/((25/(-15))/1 + 1). Let y(b) = -b**2 + b. Let q be y(-1). Let g be (-11 - -12)*34/q. Do g and r have the same value? False Let y(p) = 625*p - 707. Let b be y(-16). Is b at most -10707? True Let o = -19/4 - -4. Let v = 1/4 + o. Is 1 at most as big as v? False Suppose -57 = 4*j - 217. Suppose -5*l - 4*a - j = 0, l - 34 = 5*a - 13. Let i be 44/(-16) - (-1)/(-4). Which is smaller: i or l? l Suppose 37*n - 42*n - 4*u + 476 = 0, -5*n - u = -494. Is n equal to 16? False Suppose -3*t + 11 = -5*y + 1, -y = -4*t + 2. Which is bigger: t or 16/2441? 16/2441 Suppose 0 = -4*l + 5*y - 1643, -92 = -10*y - 22. Which is bigger: -3 or l? -3 Let k = -8826 - -8877. Is -4 bigger than k? False Let y be (-65484)/244090 - 76/(-266). Let a = y - -6/317. Which is greater: 0 or a? a Let z be (60/9)/(-5)*6/(-4). Let y(a) = 60*a - 16. Let c be y(z). Is 104 at least as big as c? True Let i be (-6)/10 + 21/35. Let x be ((-985)/25)/((-3)/15). Let c = 9260/47 - x. Which is greater: i or c? c Let m be ((-11)/22)/((-24878)/(-84)). Which is smaller: 1 or m? m Suppose -21*f = 23 + 103. Let k be 2 + (4 + f)*1. Which is smaller: 3/20 or k? k Suppose -5*m + 44 = 2*z - z, 4*z = 3*m + 107. Let p = 11843 - 11811. Which is greater: p or z? p Let t = -16 - -15.9. Let f = -117.129 + 0.129. Let y = f + 106. Which is smaller: t or y? y Suppose -7*n = 44*n - 37*n. Which is smaller: -61/250 or n? -61/250 Let i(o) = -69*o**2 - 114*o - 68. Let q be i(11). Which is bigger: -9670 or q? -9670 Let g = -1934.136 + 1934. Which is bigger: g or 0.1? 0.1 Let c = -422.2 - -227.6. Let u = c - -6.6. Is 1/4 greater than u? True Let z be 186*(-1)/((-15)/4). Let x = -72355163/155 - -466758. Let f = x + z. Which is smaller: 1 or f? f Let r be (-81)/54 + 5/2. Is -1/32477 less than r? True Suppose 0 = 14*k - 12*k - 28. Let i = 41 + -40. Let c be 21/(i/((-4)/(-6))). Is c not equal to k? False Suppose 3*h - w = 1 - 8, -3*h - 3*w = -9. Suppose -4*s + 155 = 27. Let j be 2/3*s/(-12). Are h and j unequal? True Let z = -337.694 + 338. Let g = z - 0.036. Let o = 7.7 + -5.7. Which is smaller: g or o? g Let f = -9241 + 9242. Is f greater than
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {o: 11, a: 2}. Give prob of picking 2 a. 1/78 Two letters picked without replacement from {q: 2, b: 1, r: 1, k: 2, z: 3, j: 6}. What is prob of picking 1 z and 1 b? 1/35 What is prob of picking 2 c when two letters picked without replacement from cbjjbcbbbbjjjjjjj? 1/136 Four letters picked without replacement from {h: 6, z: 4, n: 1, k: 3, r: 2}. Give prob of picking 1 n and 3 k. 1/1820 What is prob of picking 1 g, 1 i, and 1 j when three letters picked without replacement from {j: 1, g: 2, i: 3, l: 3, v: 1, s: 7}? 3/340 Two letters picked without replacement from frhkkkzdrrhfkrr. What is prob of picking 1 h and 1 d? 2/105 Three letters picked without replacement from uzmumupampuu. What is prob of picking 2 u and 1 p? 1/11 Three letters picked without replacement from {r: 2, e: 9}. Give prob of picking 2 e and 1 r. 24/55 Four letters picked without replacement from {j: 2, e: 1, f: 8, r: 5}. Give prob of picking 1 f, 1 r, and 2 j. 2/91 Two letters picked without replacement from niirpurznizinuz. Give prob of picking 2 i. 2/35 Three letters picked without replacement from hbbhbbhbbbbbbhbbbbb. What is prob of picking 1 h and 2 b? 140/323 What is prob of picking 3 x and 1 y when four letters picked without replacement from jxyyjjjjyxyjy? 0 What is prob of picking 1 p, 1 i, and 1 e when three letters picked without replacement from {e: 3, j: 6, y: 2, p: 1, i: 1}? 3/286 Calculate prob of picking 1 y and 1 q when two letters picked without replacement from yenqnhm. 1/21 Four letters picked without replacement from {o: 3, p: 6, j: 2, m: 6, z: 3}. Give prob of picking 3 m and 1 z. 4/323 Two letters picked without replacement from hqaaqhaa. Give prob of picking 1 h and 1 a. 2/7 What is prob of picking 2 j, 1 l, and 1 d when four letters picked without replacement from ddjdljlllddjd? 72/715 Four letters picked without replacement from {b: 6, n: 4, r: 5}. Give prob of picking 2 r, 1 b, and 1 n. 16/91 Three letters picked without replacement from ppwpppwppllppllppll. What is prob of picking 3 p? 55/323 Calculate prob of picking 1 e and 2 f when three letters picked without replacement from eeeeeeffe. 1/12 Four letters picked without replacement from hsflehelesllellh. What is prob of picking 3 h and 1 f? 1/1820 Calculate prob of picking 2 k when two letters picked without replacement from {k: 4}. 1 What is prob of picking 1 l and 1 p when two letters picked without replacement from pcppl? 3/10 Calculate prob of picking 1 l, 1 n, and 1 v when three letters picked without replacement from {l: 3, v: 2, a: 1, n: 3, s: 3, d: 3}. 18/455 What is prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, e: 1, w: 1}? 1/3 Two letters picked without replacement from djmjjhmcddmmdm. Give prob of picking 1 c and 1 j. 3/91 What is prob of picking 2 p and 1 x when three letters picked without replacement from wpxpxpp? 12/35 Calculate prob of picking 1 w, 2 v, and 1 m when four letters picked without replacement from wwmmmwvwvmmmvwmv. 3/26 Two letters picked without replacement from ddkyyykkddyy. What is prob of picking 2 d? 1/11 Four letters picked without replacement from {h: 5, q: 8}. What is prob of picking 1 q and 3 h? 16/143 What is prob of picking 1 f and 2 g when three letters picked without replacement from ggffg? 3/5 What is prob of picking 1 w and 1 k when two letters picked without replacement from pvkwhka? 2/21 Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wwcc. 2/3 Calculate prob of picking 3 j when three letters picked without replacement from bjjbjjb. 4/35 Calculate prob of picking 3 g when three letters picked without replacement from ggggaagaggagggggggga. 91/228 Four letters picked without replacement from {m: 3, b: 5, l: 1, q: 1, e: 1, k: 3}. Give prob of picking 1 m, 1 k, 1 e, and 1 b. 45/1001 What is prob of picking 1 a and 2 p when three letters picked without replacement from mmmpmappappmppsp? 1/10 Four letters picked without replacement from tttytttkpthrrrkrh. Give prob of picking 1 t, 2 k, and 1 r. 1/85 Two letters picked without replacement from {p: 3, o: 7}. What is prob of picking 2 o? 7/15 What is prob of picking 2 s and 2 o when four letters picked without replacement from uiooggsgspog? 1/165 Three letters picked without replacement from jkjjubk. What is prob of picking 2 k and 1 j? 3/35 Calculate prob of picking 3 p when three letters picked without replacement from pppppp. 1 Four letters picked without replacement from qqggqggqggqgqq. Give prob of picking 1 q and 3 g. 35/143 Two letters picked without replacement from rrpnpn. What is prob of picking 2 r? 1/15 What is prob of picking 1 f and 2 i when three letters picked without replacement from {y: 1, c: 5, m: 1, f: 1, i: 4}? 3/110 Two letters picked without replacement from {m: 7, q: 5}. What is prob of picking 2 m? 7/22 Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {l: 4, n: 1, y: 3, z: 2, o: 9}. 2/57 Two letters picked without replacement from fffff. What is prob of picking 2 f? 1 Two letters picked without replacement from {q: 2, b: 4, u: 1, w: 2, v: 7}. What is prob of picking 1 b and 1 q? 1/15 Two letters picked without replacement from aaaaaaawwaaaaaw. Give prob of picking 1 w and 1 a. 12/35 Two letters picked without replacement from {e: 1, o: 7, a: 1, f: 5}. What is prob of picking 2 o? 3/13 Three letters picked without replacement from laaadmwimlm. What is prob of picking 1 m and 2 l? 1/55 Two letters picked without replacement from {q: 2, f: 5, o: 12}. Give prob of picking 2 q. 1/171 What is prob of picking 1 o, 1 k, 1 w, and 1 a when four letters picked without replacement from {m: 1, r: 3, w: 2, k: 3, a: 1, o: 1}? 1/55 Two letters picked without replacement from eladaeddademaaee. Give prob of picking 1 e and 1 d. 1/6 Two letters picked without replacement from czcczzczzcszczzczzc. What is prob of picking 2 z? 5/19 Three letters picked without replacement from {b: 6, w: 11, i: 2}. Give prob of picking 3 w. 55/323 Calculate prob of picking 2 m when two letters picked without replacement from mmmmmm. 1 Calculate prob of picking 2 k and 1 d when three letters picked without replacement from {t: 4, d: 1, k: 2, l: 1}. 1/56 Calculate prob of picking 2 o when two letters picked without replacement from {q: 1, o: 2, l: 1, n: 1}. 1/10 Three letters picked without replacement from {g: 7, w: 5, x: 2}. What is prob of picking 1 x, 1 g, and 1 w? 5/26 Three letters picked without replacement from {e: 1, c: 6, y: 2, w: 1, j: 3}. Give prob of picking 1 j, 1 y, and 1 c. 18/143 What is prob of picking 1 c and 1 a when two letters picked without replacement from ocqoqa? 1/15 Two letters picked without replacement from {q: 2, v: 4, h: 1, x: 2, a: 1}. What is prob of picking 1 x and 1 a? 2/45 What is prob of picking 2 e when two letters picked without replacement from {e: 5, z: 3}? 5/14 Calculate prob of picking 3 f when three letters picked without replacement from {w: 1, z: 2, d: 2, m: 1, f: 4}. 1/30 Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {q: 5, e: 5}. 5/12 Calculate prob of picking 4 s when four letters picked without replacement from {j: 3, s: 4}. 1/35 Calculate prob of picking 3 h when three letters picked without replacement from hhh. 1 Four letters picked without replacement from {f: 7, o: 3, k: 6, h: 1, v: 2}. What is prob of picking 1 f, 1 k, and 2 h? 0 Four letters picked without replacement from oaoooaoaooa. What is prob of picking 4 o? 7/66 Two letters picked without replacement from hhnmhnmnhnnhhmhh. Give prob of picking 2 n. 1/12 Two letters picked without replacement from {a: 2, s: 8}. Give prob of picking 2 a. 1/45 What is prob of picking 3 q when three letters picked without replacement from {t: 3, q: 11}? 165/364 What is prob of picking 1 g, 1 k, 1 l, and 1 b when four letters picked without replacement from bgkxigkll? 4/63 Four letters picked without replacement from {m: 1, v: 2, o: 2, l: 1, r: 1}. Give prob of picking 2 o and 2 v. 1/35 Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {d: 2, t: 12, a: 1, c: 3, h: 2}. 1/380 Four letters picked without re
{ "pile_set_name": "DM Mathematics" }
a - 2 = 2*v + 4. Solve -v*c = 0, 0 = i + c + 1 + u for i. -4 Let y = 145 - 142. Suppose 4*v + 2*x = -x + 28, -12 = -y*x. Solve 3*k = -4*o + v - 10, -o = 0 for k. -2 Let w = -2322 + 2340. Solve 0 = -3*q + 3*d - w, -15*d + 19 = -3*q - 11*d for q. -5 Suppose -59 = -2*s + 13. Let x be (6 - 222/s)*-18. Suppose -5 = -5*b + 5. Solve -5*n - 2*m = 0, -b*m - 10 - 6 = -x*n for n. 2 Suppose 2*o + 3*u - 2*u = -436, -o = 5*u + 227. Let h = -217 - o. Solve n + 8 = s - h*s, -s = 5*n + 10 for s. 5 Suppose -48 = -25*i + 13*i. Solve i = -2*a - 29*m + 32*m, 5*m = -2*a - 4 for a. -2 Let r(g) = 21 - g + 18 - 17. Suppose u = 2*u - 20. Let d be r(u). Solve 0 = 2*z + 4*i - 26, -4*z = d*i - i - 24 for z. 5 Let g(z) = 22 + 5*z**2 - 46 + 28 - 4*z**2. Let p be g(-3). Suppose 0 = 17*x - p*x - 20. Solve 0 = x*l + 7*f - 3*f - 20, l = f + 4 for l. 4 Suppose -t + 3*t - 12 = 0. Let z(r) = -2*r**3 + 23*r**2 + 71*r - 11. Let f be z(14). Solve -c = 2, -a + t = -5*a - f*c for a. 0 Suppose -316 + 346 = 6*x. Suppose 9*n - 16 = 5*n. Solve x*b + 5*z + 30 = 0, -b + 2*z + n = -2*z for b. -4 Let h be (-10)/15*(-90)/12. Let m be 116/29*(-5)/(-4). Solve m*s - h*z = 2*s + 34, 18 = s - 3*z for s. 3 Let g be (4*(-2)/(-16))/(2/(-84)). Let a be g/(-14)*(-20)/(-15). Solve -2*b - 4*d = 14, -3*b - a*d + 7*d = -12 for b. -1 Let n(r) = -r**3 - 88*r**2 + 56*r - 2917. Let p be n(-89). Solve 0 = -5*o + 4*j + p, 74*o - 20 = 77*o + 4*j for o. 0 Suppose 0 = 8*r + 1768 + 3440. Let v = r + 655. Solve 3*s + 3*h = -2*s + 10, 4*h = -v*s for s. 5 Let k be (21/14 - -1)*48/15. Suppose 80*s - k = 78*s. Solve 3 = v - 4*y, 0*v - s*y = -4*v for v. -1 Let m = 18 + -13. Suppose -3*t = -3*p - 14 + m, 1 = -2*t - 5*p. Solve t*c = 5*k - 9, 27 = 5*c - k + 5*k for c. 3 Let q(i) = -2*i**3 + 4*i**2 + 11*i - 19. Let v be q(2). Solve w - 6 = -2*y + 1, -3*w + 2*y - v = 0 for w. 1 Let n be (-380 - (2 - -3))*(-24)/(-10). Let x be (-4708)/n - 2/21. Solve -s = 2*z - 4, -4*s = 2*z - x*s for z. 1 Suppose -q - a = -6*q - 1423, -5*q - 1429 = 2*a. Let f = q - -289. Solve -5*c + 3*s = 0, 2*c = -2*c - f*s for c. 0 Let a(u) = -u**3 + 8*u**2 + 34*u - 138. Let i be a(10). Solve 0*p + 4*p = -f + 19, 0 = -i*p + 8 for f. 3 Suppose -5*r + 3*l = -31, 19*r - 2*l + 6 = 21*r. Let o(x) = 3*x**2 - 10*x + 10. Let j be o(2). Solve 3*u - r = -j*v - 1, 0 = -2*u + 8 for v. -4 Let v(x) = 8*x + 96. Let y be v(-5). Let u be (-4 - y/(-16))*0. Solve 0 = h + 3*h + 4*w, u = h - w for h. 0 Suppose 0 = -10*w + 88 - 38. Suppose w*j - 14 = -2*b + 11, -2 = j - b. Solve 4*n - i = 2, 3*n = -j*i - 2 - 4 for n. 0 Let q be 92/28 - (-4)/(-14). Suppose 0 = 12*w - 11*w - q. Suppose 0 = -4*i + 4*v + 24, -1 - 6 = -2*i + w*v. Solve -3*l - 13 = -5*a, 0*l - 4*l + a + i = 0 for l. 4 Let j = -11250 - -11257. Solve r + z - 1 = 0, j*z - 10*z = -9 for r. -2 Let m = 116 + -74. Suppose 0 = -15*y + 17*y + m. Let v be (-427)/y + 2/3. Solve -5*a - v = -2*c, 3*c + 4 + 2 = 0 for a. -5 Let b(m) = -m**2 - m**3 + 3*m**2 + 7 - 9*m + 7*m. Let y be b(3). Let a be ((-6)/(-8))/((-3)/y). Solve a*t - 23 = 4*h + 5*t, -3*h = t + 11 for h. -2 Let m = -101 + 98. Let k be ((-448)/42)/(2/m). Solve 4*f + 4 + k = 0, 0 = 4*n - 2*f - 30 for n. 5 Let n(y) = -y**2 + 9*y - 7. Let b be n(5). Suppose -14*m + 3 = -b*m. Suppose 25 = 5*h, -m*k + h + 51 = k. Solve -2*u + 2*f - k = 0, -13 = -u - 5*f + f for u. -3 Let i be ((-75)/(-5))/1 + -3. Suppose -14*b + 33 = -23. Suppose 2*f - b = 2*d + 8, -3*f + d = -14. Solve m = -4*m - 3*y + i, 12 = f*m + 3*y for m. 0 Let f = -4 + 12. Let l be (-114)/(7 - 1) + 6. Let m be 2790/390 + 2/l. Solve -5*b + 10 = -2*p, p - m*b = -3*b - f for p. 0 Suppose 38 = -51*v + 191. Solve -2*f - c + 2*c = 0, v*c = f + 5 for f. 1 Let c be 4 - 0/(-4) - 4. Suppose 10*b = 7*b + 15. Solve -d - 4 = -m, -b*m + c*d + 2 = 4*d for m. 2 Let v = -11988 + 11994. Solve 2*j + v = h, -26 = -3*j + 7*j + 5*h for j. -4 Let v be 1*((-315)/(-72) + -2*12/64). Solve -16 = -3*z - 2*g, 3*z = -v*g - 1 + 27 for z. 2 Let s = -2725 - -2749. Solve 3*x - 3*f = 12, -11*f = 4*x - 7*f - s for x. 5 Let f(w) = -w**2 + 22*w - 103. Let o be f(7). Solve 2*j = u + 11, u + o*j - 8 = -3 for u. -3 Let y(n) = n**2 + 22*n + 52. Let q be y(-2). Solve -4*c = q, 116*u + 3 = 114*u - c for u. 0 Let a(u) = -4*u**2 - 86*u - 116. Let y be a(-20). Solve 2*s - 5*h = -y*h + 5, 5*h = -3*s + 40 for s. 5 Let t be 1855/(-21) - 4/(-3). Let x = -49 - t. Let h = x + -22. Solve -h = -2*d - 3*i - i, -i + 5 = d for d. 2 Let z = 3701 + -3698. Solve -29*m + 33*m + z*h = 26, 4*m - 16 = 2*h for m. 5 Let n(u) = -u**3 + 4*u**2 - 9*u + 47. Let d be n(4). Solve -3*m - 4*s = -2*s - 6, 0 = m + 5*s + d for m. 4 Suppose 0 = 11*v + 483 - 703. Solve v = -10*y + 13*y + 2*r, 0 = -5*y + 5*r for y. 4 Suppose 40*f - 34*f = 1056. Suppose 0 = -f*p + 171*p + 15. Solve -p*m + c = -3*c + 15, 2*c = m + 5 for m. -5 Let i be (-1200)/(-45) - 208/(-39). Solve 3*q = 12, i - 24 = 3*l + 2*q for l. 0 Let j(o) = -o**2 - 16*o - 17. Let a be j(-13). Suppose -8*q = -10*q + a. Suppose 0 = 3*v - q + 5. Solve -2*x = 2*g + 6 - v, -2*g + 5*x = -3 for g. -1 Suppose 3*m + 2*y = 26, 6*m - 2*y + 16 = 8*m. Solve -4*i + p = -20, 3*i - i = 4*p + m for i. 5 Let q(w) = 2*w**2 + 146*w + 1829. Let s be q(-16). Solve -36 = 4*b + 4*r, -b = 2*r - s*r - 11 for b. -4 Suppose -5*z - 6 = -4*c + 12, 0 = -5*c - 2*z + 6. Solve 2*x = -4*u - 22, 0 = -3*x - c*u - 2*u - 23 for x. -1 Let z(n) = 6*n**3 - 43*n**2 + 10*n - 19. Let f be z(7). Solve 0 = 5*k + 4*a, -f*k = -39*a + 43*a for k. 0 Suppose 4*a = -51 + 59. Let g = -312 - -313. Solve -3*b - 5 = y - g, a*y + 4 = -2*b for b. -1 Let g = -219 + 210. Let d(t) = 11*t + 102. Let m be d(g). Solve -27 - 13 = 5*z - 5*h, m*z - 5*h = -32 for z. -4 Let d = 1384 + -1379. Solve 16 = -d*p + 3*c + c, -p = -c + 4 for p. 0 Suppose -5*z + 14*d = 9*d + 85, 0 = -4*z + d - 80. Let x be ((-252)/24)/z*(-48)/(-2). Solve -2*q - x = -4*w, w - 13 = 4*w + 4*q for w. 1 Let d = 27392 + -27389. Solve 3*c + 21 = d*o, -4*o = c - 6*o + 11 for c. -3 Suppose -2*v + 3*v = 2*h - 630, -v + 5*h - 630 = 0. Let t = v + 642. Solve -3 = -2*q - 3*m, 0 = 2*q + 2*m - 4*m + t for q. -3 Let p(f) = -f**2 + 21*f - 26. Let a = -12 - -30. Let m be p(a). Let j = 33 - m. Solve -5*d - 5*x = -0*x + 40, -j*x = 15 for d. -5 Let k(g) = -2*g**2 + 3*g - g - 7*g - 12 + 4*g**2. Let m be k(4). Suppose 0 = -m*z - 3*z + 5*z. Solve -4*i + 9 = q, 4*q + 4*i - 6 - 6 = z for q. 1 Suppose -3*u + 165 = -1 - 8. Solve 2*z = -4*p + 20, 5*p + 5*z - u = -23 for p. 3 Let c = 14 + -11. Suppose c*w - 4 = w. Let p = -84 + 87. Solve -1 = -2*o + w*v + p*v, -2 = -o + v for o. 3 Suppose 0 = 5*z - 3*z + 4*j - 36, z + 3*j = 21. Let m be 4 + -2 + -4 + 2. Suppose -4 + 13 = 3*a. Solve m*i = -4*i - a*t + 13, 3*t - z = -3*i for i. 1 Let i = 74 + -69. Suppose -2*b + 8 = -5*t - 27, 0 = 4*b + 3*t - i. Solve -2*l = b*w - 12, -9*l - 4*w = -4*l - 13 for l. 1 Let s be 4 - 0 - ((-7)/14)/((-2)/4). Solve -2*c - s*v + 16 = 0, 2*c + 9 = 5*v - 7 for c. 2 Let t = 4631 + -4610. Solve 0*w + 4*w - 19 = 3*a, 5*w - a = t for w. 4 Suppose 3*t + 4*l = 74, -5*l + 97 = 6*t - 2*t. Solve 4*g + 28 = -2*k, t = -6*g + 4*g - 2*k for g. -5 Suppose -34*i + 27*i - 42 = 0. Let c be 4/(-28) + 136/(-28) - i. Solve -4*o + 5*q - 8 = 0, -5*q + 1 + c = -o for o. -2 Let y(g) = -6*g - 56 + 9*g**2 - 13*g + 8*g**2 - 18*g**2. Let c be y(-14). Solve 0 = -5*f - 2*x - 4, 4*f - 4*x = 3*f - c for f. -2 Let d be 8/(-44) + (-4800)/(-22) - 3. Suppose 5*t + 200 = d. Solve 10 = 2*z - 2*x, t*x - 5*x - 10 = 5*z for z. 0 Suppose -d + 38 = 26. Suppose 4*z + 4 = x + d, -x = z - 2. Solve -v + 1 = x, -g - 2 + 3 = 5*v for g. -4 Let w be (-2)/((-132)/(-77))*(-6 + 0). Suppose 20*a - w = 73. Solve 5*c + 3*f = -3 + 2, -5*c = -a*f - 13 for c. 1 Let n = 9453 + -9446. Solve 4 = k + 192*f - 195*f, -3*k + n = -4*f for k. 1 Suppose 19*i - 497 - 491 - 380 = 0. Solve 5 = -5*h + 5*m, 70*h - 12 = i*h + 3*m for h. -3 Let c = 5791 - 5789. Solve 2*h - 10 = 4*s, 13 = 12*h - 7*h + c*s for h. 3 Suppose -13*f = 16*f + 55*f. Solve -14 = -f*s + s - 4*x, 0 = s + 3*x - 14 for s. 2 Let f = 773 + -782. Let h(y) = y**2 + 16*y + 65. Let x be h(f). Solve 0 = 5*g - 25, 2*o + g = 15 - x for o. 4 Suppose -10*t - 5*t - 43 + 463 = 0. Solve 0 = -4*s + 4*z - t, -26*s - 3*z + 3 = -23*s for s. -3 Let h(z) = 2*z**3 - 156*z**2 + 303*z + 82. Let m be h(76). Solve 0 = 2*d
{ "pile_set_name": "DM Mathematics" }
-6*r - 3*y. What is the tens digit of b(r)? 8 Suppose 0 = 5*x - 0*x + 10*x. What is the units digit of (x + -1374)*(84/9)/(-14)? 6 Suppose -111*t - 246584 = -2088740. What is the thousands digit of t? 6 Let u(p) = -212*p**3 + p**2 + 51*p + 223. What is the ten thousands digit of u(-4)? 1 Let a be (-9)/((-8326)/1664 - -5). Suppose 3*k + p - 391 = 1481, -4*k - 5*p = -a. What is the hundreds digit of k? 6 Suppose -20 + 7 = -d. Let m = d + -9. Suppose -f - m*f = 2*p - 28, 3*p - 5*f = -8. What is the units digit of p? 4 Suppose -5*o - 22 = 2*x, -4*o = -7*x + 12*x + 55. What is the tens digit of 63825/165 - 2/x? 8 Let k be 6/(-3) + (1 - -1). Suppose 4*s - 8 = k, 3*s = -3*p + 4*s - 2. Suppose 13*h - 24*h + 2013 = p. What is the tens digit of h? 8 Let h(m) = -m**3 + 19*m**2 + 15*m + 11. Let c be (24/(-4) - -6) + 6*3. What is the hundreds digit of h(c)? 6 Suppose 2*u = -5*p + 4*u - 112, -3*p - 2*u - 64 = 0. Let f = p + 408. What is the tens digit of f? 8 Suppose -4*m = 556*l - 555*l - 7286, m + 21923 = 3*l. What is the tens digit of l? 0 Let x = 88 - 54. Suppose -2*c = 6, -4*o + 3*c + 23 = -x. Suppose 0 = i - 70 - o. What is the units digit of i? 2 Let l(v) = 23*v + 31. Let p(w) = 3*w**3 + w**2. Let i be p(1). Let d be l(i). Suppose 5*f - 3 = 2*c - d, -5*f + 100 = 2*c. What is the tens digit of c? 5 Let g(j) = 3788*j - 99. What is the thousands digit of g(1)? 3 What is the hundreds digit of (-1)/5 + (-1256)/(4 + 236/(-54))? 3 Let x be (9/4)/((-24)/(-1792)). Let q = 17 + x. What is the tens digit of q? 8 Suppose -2*d + 3*n + 36017 - 6525 = 0, -4*d = -5*n - 58980. What is the tens digit of d? 4 Suppose -2*t + 8 = -n + 5*n, 0 = 3*n + 3*t. Suppose 7*s - n*s - 624 = 0. Suppose 6*i - s = 182. What is the units digit of i? 5 Let h be (-2 - 98/(-4))*(-20)/(-3). Suppose -348 = -c - j + h, 0 = -2*j - 4. What is the tens digit of c? 0 Suppose -54*q + 95142 = -8*q - 404234. What is the thousands digit of q? 0 Suppose -41 = 2*t - 9. Let p(r) = r**2 + 8*r + 3. Let h be p(t). Suppose u - h = 19. What is the hundreds digit of u? 1 Let x = 54859 + -33786. What is the ten thousands digit of x? 2 Let g = 20116 + -7141. What is the tens digit of g? 7 What is the tens digit of (9 - 11)*613460/(-37)? 6 Let g(t) = 361*t**3 - t**2 + 88*t - 376. What is the hundreds digit of g(5)? 1 What is the tens digit of 4/6 + (-3952885)/(-327)? 8 Suppose -2*p + 2*a + 58540 = 0, 6*p - 175624 = 101*a - 99*a. What is the thousands digit of p? 9 Let r = 6950 - -4079. What is the thousands digit of r? 1 What is the ten thousands digit of (160802/(-12))/(-1) + (332/24 - 14)? 1 Let m be 0 - (-2)/6*0. Suppose 0 = -3*f - 3*p + 27, m*f - 36 = -4*f + p. Let h(n) = 16*n - 30. What is the tens digit of h(f)? 1 Let d = -57 - -32. What is the units digit of (1368/(-10))/9*d? 0 Let d(i) = 0*i + 2*i + 41 - i + i. Suppose -j - 3*a + 0*a = -3, -40 = 4*j - a. What is the tens digit of d(j)? 2 Suppose -7893987 = 53*h - 89*h - 161*h. What is the tens digit of h? 7 Let j(w) = 26*w - 21. Let o be j(1). Suppose 5*b - 459 = -2*y, 3*b + 1358 = o*y + 226. What is the tens digit of y? 2 Let a = -107 - -111. Suppose -a*t - 2152 = -4*i, -4*t + 216 = i - 322. What is the tens digit of i? 3 Let g(u) = -u**3 + 12*u**2 - 11*u + 2. Let q be g(11). Let k be (4 - 8) + q - -4. Suppose -2*j = 1 + 5, -k*j + 389 = 5*o. What is the tens digit of o? 7 Let n(s) = 2*s**2 + 7. Suppose -p + 10*p = 0. Let t be n(p). Suppose t*m = 12*m - 345. What is the tens digit of m? 6 Let c(w) = -698*w + 544. What is the hundreds digit of c(-5)? 0 Suppose -3*u + 23834 = m, -10*m - 39710 = -5*u - 5*m. What is the units digit of u? 4 Let q(l) = -5 - 5 - 17*l - 7*l + 30 + 23. What is the hundreds digit of q(-33)? 8 Suppose -4*v + 36 = 3*u, u - 2*v = -u + 38. Suppose -u*r + 21*r = 3*s + 3155, 3*s = -15. What is the tens digit of r? 2 What is the units digit of (0 + -1962)/(16/(-104))? 3 Suppose -2*y - 6594 = 5*y. Let c be (7/21)/(2/y). Let m = 254 + c. What is the units digit of m? 7 Let q(g) = 3*g**2 + 10*g**2 + 13*g + 1 + 0*g**2. Let f be q(-2). Suppose 0 = -24*h + f*h - 174. What is the tens digit of h? 5 Suppose -3*n - 5*r = -835, 6*n + 2*r - 1417 = n. Suppose 2*u - i - 2*i - n = 0, 2*u = i + 275. What is the units digit of u? 5 Suppose -38920 = 2*o - 8*n - 139830, -3*n - 151437 = -3*o. What is the ten thousands digit of o? 5 Let f(m) be the third derivative of m**6/8 + m**5/30 - m**4/12 - m**3/2 + 4*m**2. Let u be f(-2). Let s = 17 - u. What is the units digit of s? 8 Let c be 120/48*(-1)/(-5)*90. Let d = c + 389. What is the tens digit of d? 3 Suppose -43 + 7 = -6*x. Let q(m) = 172*m - 94. What is the tens digit of q(x)? 3 Suppose 5*y - 3*s - 6 = 0, -3*y + 4*s = y. Let n(x) = -20*x + 10. Let p be n(y). Let o = -1 - p. What is the tens digit of o? 4 Let i be -2*(-2 + (-6)/(-4)) + -9. Let o be (-5 - i)*(2 + 0). Suppose -5*w = h - 40 - 6, 3*w = -o. What is the tens digit of h? 5 Let j = 248 - -172. Suppose -28 = -3*c + r + j, 0 = 5*r - 25. What is the tens digit of c? 5 Suppose x = 3, h = 3*x - 5*x + 177. Suppose -q - 2*c = -h, 533 = 3*q - c - 3*c. Let y = q - 75. What is the hundreds digit of y? 1 Let c(y) = 24*y**3 - 14*y**2 - 5*y - 19. What is the hundreds digit of c(7)? 4 Let g = 4 - 178. Let z = -18 - g. Suppose -z = -3*v - 5*u + 146, -2*u = -5*v + 462. What is the units digit of v? 4 Let u be 1/(-2 + 498/248). Suppose u = 3*s - 29. Suppose -8*o = -453 - s. What is the tens digit of o? 6 Let w(s) = 123*s**2 - 24*s + 1037. What is the tens digit of w(20)? 5 Let g(c) = 15*c - 3. Let p be g(1). Suppose 33 - p = 7*q. Suppose -q*n = -4*j + 264 + 756, 3*j - 4*n = 765. What is the hundreds digit of j? 2 Let r = -34 + 57. Suppose 0 = 2*d - 3*k - 16, -2*d = -5*k + 3 - r. Suppose 23 = -d*j + 598. What is the units digit of j? 5 What is the units digit of (-108)/918 - (-3 - (-276303)/(-17))? 6 What is the units digit of 16934/10 + (-28)/70? 3 Let n = 425 - 243. Suppose -5*u - 68 = n. Let g = u + 155. What is the units digit of g? 5 Suppose 251*u + 452699 - 9962859 = -254*u. What is the tens digit of u? 3 What is the units digit of 592/(-4)*(1610/(-28) + 5)? 0 Suppose -v + 0*v - 30575 = -6*v. What is the hundreds digit of v? 1 Let u(q) = 796*q**2 - 42*q + 3. What is the tens digit of u(3)? 4 Let y be 49/(2 + 0/(-3) - 3). Let v = 24 + y. What is the units digit of (40/v)/((-2)/70)? 6 Let v = -52 + 34. Let i = 20 + v. Suppose -i*t = -7*t + k + 250, 4*k = -20. What is the units digit of t? 9 Suppose -20*a = -2*a - 23238. What is the tens digit of a? 9 Let a = -347 + 1078. Suppose 25*o = 26*o - a. What is the units digit of o? 1 Suppose 0 = -20*t + 21*t - 21. Suppose -11094 + 44190 = t*n. What is the units digit of n? 6 Suppose 51 = -33*m + 16*m. Let b(q) = 12*q**2 - 3*q - 2. What is the hundreds digit of b(m)? 1 Let v be (1 - 2)*(6 - 11 - -5). Suppose 4*a = -4*d + 566 + 1678, 3*a - 2*d - 1708 = v. What is the hundreds digit of a? 5 Suppose 3*h = 15, -a = a - h + 85. Let p be ((48/a)/1)/(4/(-10)). Suppose -5*i + 422 = p*m - 3*i, 143 = m + 3*i. What is the units digit of m? 0 Let f be 10 + 3/(-1) + -4. Let k be (-42)/(-28)*(-2)/f. What is the units digit of 117 - (-4 - (-5 - k))? 7 Let c(z) = 689*z + 5640. What is the ten thousands digit of c(27)? 2 Suppose -3*q + z - 5 = 0, 3*z = 7*q - 4*q - 3. Let a(p) = 4*p**2 - 5*p - 4. Let s be a(q). Let l = s + -21. What is the units digit of l? 6 Let d(s) = 17 + 3*s + s**2 + 35 - 18 + 32. What is the tens digit of d(25)? 6 Suppose -155*j = -113*j - 976710. What is the tens digit of j? 5 Suppose 5*b = 10, 0*b = y + 2*b - 8. Let i be (y/(-3))/((-4)/(-6)). What is the tens digit of ((-62)/(-4))/(i/(-4)) - 1? 3 Let n(t) = -t**2 + 10*t - 5. Let u be n(9). Suppose b + u*b - 25 = 4*p, -2*b = -3*p - 10. Let r(i) = 4*i + 233. What is the tens digit of r(p)? 3 Let f(v) = 3*v**2 - 4*v**2 - 3*v - 2*v**3 + 0*v**3 + 3*v**3 - 67. Let d be f(0). Let o = -1 - d. What is the units digit of o? 6 Let i(a) = 1777*a - 39. Let x be i(3). Suppose x = 5*g + 13*g. What is the units digit of g? 4 Suppose 240580 = 18*w + 15*w - 10*w. What is the units digit of w? 0 Suppose -6*a - 23 + 77 = 0. Suppose a*p - 2*h + 22 = 13*p, -3*h + 27 = 4*p. Suppose s - 4*r - 600 = -3*s, p*r - 3 = 0. What is the tens digit of s? 5 What is the ten thousands digit
{ "pile_set_name": "DM Mathematics" }
6). Let u = -49 - b. Suppose -d = 2*d - u. Solve -d*j + 4 = -8 for j. 3 Suppose 19*y + 57*y - 187 = -35. Solve -76 = y*a - 82 for a. 3 Let p(r) = -3*r**3 - 3*r**2 + 9*r + 30. Let a be p(-3). Solve 35*y + a = -118 for y. -5 Let x be (10/(5/5) + -4)*22/4. Solve x*i + 176 = -55*i for i. -2 Let r(f) = -f**3 - f**2 + 3*f + 3. Let q be r(0). Solve 30*p + q*p = 33 for p. 1 Let v(t) = t**3 - 9*t**2 + 16*t - 4. Let d be 29/(-29)*(-6 - 1). Let k be v(d). Solve -9*i + k*i - 4 = 0 for i. 4 Let g = 113 + -101. Let y be g + 3 + (-15)/5. Suppose -y*w = -45 + 9. Solve x = -w*x for x. 0 Let f(n) = -n**3 + 3*n**2 + 1. Let i be f(2). Suppose -28*g + 7 = -29*g + 2*c, 2*g + 5*c = 49. Solve i*l - 13 - g = 0 for l. 4 Let j(f) = 7*f + 1. Suppose 0 = -42*r + 28*r + 14. Let y be j(r). Solve y*s = 11*s - 9 for s. 3 Suppose 4*j - 50 = -j. Suppose 0 = j*x - 13 - 7. Solve -f = -3*f + x for f. 1 Suppose 2*s - 4*u - 23 = 9, s - 28 = -2*u. Suppose -3*d + s = -4*o - 23, -d + 4*o = -23. Solve -10 = 6*n - d*n for n. 2 Let u(o) = o + 68 - 82 - 3*o. Let f be u(-7). Suppose f = 6*n - 9 - 21. Solve 2*y - n = y for y. 5 Suppose -119*m + 124*m - 25 = 0. Suppose 56 + 8 = -4*i + m*v, 0 = -2*i - 2*v - 50. Let q be 4 + (-12)/i - (-9)/21. Solve q*a + 5 = 4*a for a. -5 Suppose 0 = q + 4*q. Suppose 3*t - 10 = 5*c + 8*t, -c = 4*t + 14. Solve q = -c*a - a - 12 for a. -4 Let h = 716 + -960. Let r = h - -246. Solve r*a - 13 = -19 for a. -3 Suppose -2*m = -7*m + 4*n + 732, -5*n = m - 158. Let k = m - 141. Solve k*g = 4*g + 6 for g. 2 Let g(a) = a + 4*a - 44 - 13*a. Suppose -18 = -4*c + 6*c + 2*z, -18 = 5*c - 4*z. Let j be g(c). Solve j = 4*m + 8 for m. -1 Let k be 32*-5*4/(-16). Let v = k - 37. Solve -20 = -u - v*u for u. 5 Let b = -8 - -11. Suppose 6 = -b*l, 7*z - 3*z - 46 = l. Suppose 4*x - 208 + 180 = 4*u, -3*x = 2*u - 56. Solve -x = -5*p + z for p. 5 Let h(g) be the third derivative of -g**5/60 - g**4/4 - g**3/2 - 35*g**2. Let q be h(-3). Suppose q*z - 3 = 5*z. Solve z*m + 3 - 9 = 0 for m. 2 Suppose 0 = -6*l - 0 - 0. Suppose 4*h - 416 = -4*q, -5*h + 2*q + 548 = -l*q. Let g = h - 104. Solve -g*u - 5 + 13 = 0 for u. 2 Suppose 13*z - 903 = -1787. Let h be ((-136)/z)/((-1 - -2)/2). Solve -q = q - h*q for q. 0 Let p(z) = 10*z + 58. Let a be p(14). Let d be 2/9 + 1936/a. Solve -8 = -6*g + d for g. 3 Suppose -v - 20 = 3*k + k, -15 = -2*v + 3*k. Suppose 2*s - 4 = -4*g, v = -5*g - 2*s - s + 6. Let w be (-258)/(-84) - (-4)/(-56). Solve -w*x - 6 = -g*x for x. -2 Let o(q) = 59*q - 4128. Let a be o(84). Solve -835*l = -a*l - 42 for l. 6 Let f(l) = 5*l**3 - 4*l**2 - 3*l - 6. Let s be f(3). Solve -54 = 75*r - s*r for r. 6 Let d be 188/(-423) + (-170)/(-18). Suppose -k - d = -h, 2*k = -h - 0*k. Solve -h*p + 0*p = 24 for p. -4 Suppose -8*u = -11*u + 450. Let n = u + -150. Solve -3*a - a - 8 = n for a. -2 Suppose 19*o - 17*o - 72 = 0. Let k = 42 - o. Let q be (1 - -13 - k) + (0 - 0). Solve -q*i = -11*i - 9 for i. -3 Let b(p) = -p**2 + p - 1. Let y(x) = -5*x**2 + 22*x - 1. Let z(t) = -4*b(t) + y(t). Let r be z(7). Let m = -78 + r. Solve -m*v + 17 - 7 = 0 for v. 5 Let l be 220/20*(2 + -1). Suppose 0 = -5*j + l + 14. Solve -4*u + 3*u - j = 0 for u. -5 Suppose 496*b - 88 = 518*b. Let w(k) = 10 + 2*k + k + 5. Let x be w(b). Solve -x*v = v + 16 for v. -4 Let y(n) be the third derivative of n**4/12 + 2*n**3/3 - 58*n**2. Let x be y(1). Let o be 2 - 1/((-1)/3). Solve -5*w + x*w + o = 0 for w. -5 Suppose -4*z + t = -521, 5*z + 3*t = 245 + 385. Suppose 134*a - 220 = z*a. Solve -42 + a = -2*f for f. -1 Let t be (-7)/(-14)*-6 + -1*47. Let n = t - -50. Solve 6*u = -n*u + 6 for u. 1 Let u(t) = 4*t**3 + 104*t**2 + 5*t + 179. Let x be u(-26). Solve x*p = -32 - 17 for p. -1 Let a be (-6)/3 - -48 - 1. Let s be 4/10 + 207/a. Suppose -13*w - 5 = -14*w. Solve 0 = 5*i - s - w for i. 2 Let p(m) = -m**2 - 12*m + 48. Suppose 543 = -6*a - 555. Let h be (a/(-4))/(-3) - (-3)/12. Let l be p(h). Solve -2*q + l = 9 for q. -3 Suppose 5*r + 45 = 20*r. Suppose -6 = -r*z - 0. Solve -z*o = 4*o - 6 for o. 1 Suppose -j - t - 4 = 0, -4 = j - 3*t - 0*t. Let k(r) = -r + 9. Let v be k(j). Solve v*u - 12*u = -4 for u. -4 Suppose 4*f + 62*j - 1500 = 58*j, f + 5*j - 375 = 0. Solve -51 = f*o - 358*o for o. -3 Let l = 52 - 49. Suppose l = h + 1. Let t(r) = 2*r**2 - 9*r - 6. Let f be t(-2). Solve -2*x = h*x + f for x. -5 Let i be 14/6 + 4/6. Suppose 30*x - 20 = 25*x. Let y be (2 - (2 - 2)) + x + -4. Solve 5*n - y = i for n. 1 Let n = 9 + -8. Suppose -239 = -14*c - 3697. Let s = c - -251. Solve -n = -s*d + 7 for d. 2 Let z = 151 + -86. Suppose p + 0*v = 2*v, -5*p = 3*v + z. Let c be 0 - (p - 5)/3. Solve 7*l - 2*l = c for l. 1 Suppose 0 = 3*s - 4*j + 2, 0*s = -5*s + 4*j + 2. Let w be ((-6)/4 - 1)*s. Let c(z) = z + 5. Let p be c(w). Solve p = g - 0 - 5 for g. 5 Let d(o) = -o**3 + 13*o**2 - 7*o + 15. Let q be d(9). Let f = -274 + q. Solve -3 = f*z + 3 for z. -3 Let w be (5/(-10))/((-548)/272 + 2). Let g = w - 16. Solve 3*z + 6 - g = 0 for z. 4 Let l(r) = 11*r + 23. Let u be (2 - (-1 + 1))*(-4 - -3). Let a be l(u). Solve 0 = s - 3 - a for s. 4 Let r(j) = j**2 - 3*j - 6. Let b = 12 + -7. Let h be r(b). Suppose 0 = -m + 4*q - 11, 4*q - 57 + 41 = -4*m. Solve -9 = -h*i - m for i. 2 Suppose -32*t - 372 = -1364. Solve y = t - 27 for y. 4 Suppose 3894 = 77*t - 1034. Solve t*w - 23*w = 82 for w. 2 Let c be (-2 + (-46)/(-2))*(-15)/3. Let h be ((-24)/15)/(21/c). Solve 1 = -h*q - 7 for q. -1 Let l be -2*(453/2 + (12 - 14)). Let m = l + 452. Solve -3*q = -0*q - m for q. 1 Suppose 324 = 6*t + 228. Solve -18*d + 74 = -t for d. 5 Let i be (-3 - -4) + (1 - -3). Suppose 3*v = -2*v - i. Let d be (v/3 - 0) + (-476)/(-42). Solve -d + 3 = -4*p for p. 2 Let w = 5710 - 5704. Let p = -5 + 6. Let u be (p*3)/(21/14). Solve u + w = 2*t for t. 4 Let i = -510 - -627. Suppose 0 = 119*h - i*h. Solve -3 + h = 3*f for f. -1 Let t be (-315)/42*(-74)/(-3). Let h = t + 185. Solve g - 11*g + 40 = h for g. 4 Let n be -3 + 2 - (-10)/(-5). Suppose -3*c = -2*s + 2, 3*s - c - c = 13. Let g = s + n. Solve -m = -g*m - 12 for m. -4 Let l = -1296 + 1300. Solve l*t + 24 = -8*t for t. -2 Let h(a) = a**3 - 8*a**2 - 27*a - 61. Let k be h(11). Let x(r) = r**3 + 7*r**2 + 5. Let o be x(-7). Solve o + k = -2*u for u. -5 Suppose -2*z - 54 = -3*z. Let v(d) = d**3 + 8*d**2 - 17*d - 124. Let c be v(-9). Let q = z + c. Solve -4*o = -q*o + 8 for o. -4 Let d be ((-102)/(-24) + -5)/(2/(-120)). Suppose 4*z + d = 13*z. Solve -z = i - 8 for i. 3 Let a = 122 - 119. Suppose -a*g - 2*s - 18 = -6*g, -5*g - 2*s = -30. Solve 0 = 5*k - g*k + 4 for k. 4 Let u(k) = -k**3 + k**2 - 2*k. Let d be u(-4). Let w be (-56)/98*-14 + (-91 - 0). Let q = d + w. Solve -3*p = -q*p for p. 0 Let u = 25281 - 25267. Solve 0 = 11*h - u*h + 9 for h. 3 Suppose 5 = -k + 30. Let w(u) = u**2 + 8*u + 2. Let m be w(-8). Suppose -2*v - v = 0. Solve v = 3*o + m*o + k for o. -5 Suppose 436*g = 37429 + 37563. Solve -199*s + g*s - 216 = 0 for s. -8 Let v(x) = 11*x**2 + 2*x + 1. Let h = 37 + -72. Let y = h + 34. Let g be v(y). Solve 0 - g = -5*n for n. 2 Let c = -190 - -199. Suppose b + x + 11 = c, -4*b = -2*x - 4. Solve -3*o + 6*o = b for o. 0 Suppose f = 2*p - 115 - 25, -3*p + 3*f + 213 = 0. Solve -25*g + p*g = -132 for g. -3 Let s be 23 - 1/(-5)*20. Solve -210*x + 201*x + s = 0 for x. 3 Let u(i) = -67*i**2 - 29*i - 3. Let l be u(-4). Let k = l - -963. Solve k*d = 10*d + 30 for d. -5 Suppose 4*h + 938 = 114. Let o = -206 - h. Solve 24*z - 26*z - 6 = o for z. -3 Let u be (0 + 3 - -7)/2. Suppose -52 = -3*p - 5*c, 2*c + 3 = 2*p - u. Suppose -3*z = 5*t + 22, z + 3*t = t - p. Solve l = z + 2 for l. 3 Let m(g) = g**3 + 29*g**2 - 207*g + 151. Let y be m(-35). Solve y = 11*l + 12*l for l. 2 Suppose -114*m - 5256 = -3012 - 16722. Solve -m - 113 = 80*n for n. -3 Let b(j) = -5*j**2 - 85*j - 170. Let a be b(-8). Solve 14 = a*k - 183*k for k. 2 Let f = 1386 - 1380. Solve 834*b = 831*b - f for b. -2 Let w be (4*-1)/((-8)/32*2). Let b(h) = 12*h - 88. Let u be b(w). Solve 0*r + u = -2*r for r. -4 Suppose -3*g + 3*k + 465 = 0, 4*g - 344 = -2*k + 306. Solve g = -h + 165 for h. 5 Suppose 5*x + 5 = 0, 3*x + 17 = 4*f + 6*x. Suppose y + 2*g - 16 = 7*g, -f*y + 34 = -2*g. Solve r - 5 = y*r for r. -1 Let u(x) = -1423*x - 4241. Let f be u(-3). Solve 42*i - 38*i = -f for i. -7 Suppose -
{ "pile_set_name": "DM Mathematics" }
the common denominator of -97/6 and 22/2738811? 5477622 What is the common denominator of 17/36 and -143/636048? 636048 Calculate the lowest common multiple of 5417660 and 2660. 37923620 Find the common denominator of -51/465500 and 54/23275. 465500 Calculate the lowest common multiple of 1096 and 36064. 4940768 What is the lowest common multiple of 2495870 and 170950? 12479350 What is the least common multiple of 2531800 and 123551840? 617759200 What is the least common multiple of 15901 and 1? 15901 What is the common denominator of 51/38470 and 39/430? 1654210 Calculate the least common multiple of 12765606 and 44268. 791467572 Calculate the lowest common multiple of 7452804 and 36. 22358412 What is the smallest common multiple of 119105 and 328? 952840 Find the common denominator of -3/244 and -179/86580. 5281380 Find the common denominator of -139/48 and -51/62409008. 187227024 What is the common denominator of -113/3098280 and 151/3150? 325319400 Calculate the lowest common multiple of 2520 and 1792. 80640 What is the common denominator of 1/1522 and -15/243542? 185335462 Calculate the smallest common multiple of 10 and 148593284. 742966420 Calculate the smallest common multiple of 56941857 and 11441. 56941857 What is the common denominator of -99/311678 and 32/632523? 21505782 What is the common denominator of 89/616 and 17/100722776? 100722776 What is the common denominator of -71/35 and 87/9066320? 63464240 What is the lowest common multiple of 45624 and 42715470? 170861880 What is the common denominator of 67/32 and 46/1753931? 56125792 What is the common denominator of -81/110 and -71/103046504? 515232520 Calculate the common denominator of -19/77835 and -77/17279370. 17279370 What is the common denominator of -45/56 and 121/101259320? 708815240 What is the smallest common multiple of 1670828 and 340? 8354140 Calculate the common denominator of -107/188630 and -103/2753998. 13769990 Calculate the common denominator of 39/200312 and 30/748769. 437281096 Calculate the common denominator of -47/462840 and 1/619248. 89790960 What is the lowest common multiple of 15414 and 67808755? 406852530 What is the smallest common multiple of 11656492 and 301461? 34969476 What is the lowest common multiple of 960 and 4511936? 67679040 What is the common denominator of 74/1596385 and 7/1258? 118132490 What is the least common multiple of 4695 and 13023930? 13023930 Calculate the smallest common multiple of 4263 and 9450. 1918350 What is the lowest common multiple of 16079650 and 643186? 16079650 Find the common denominator of -143/70 and -113/6408080. 6408080 Calculate the lowest common multiple of 1308 and 5780. 1890060 Find the common denominator of -28/72503079 and -43/88. 580024632 What is the least common multiple of 1356 and 11206119? 5065165788 Find the common denominator of -17/22172164 and 17/1249136. 88688656 What is the common denominator of -89/1842351 and -145/12106878? 84748146 Calculate the least common multiple of 153004995 and 83655. 153004995 Calculate the lowest common multiple of 147457739 and 6187038. 884746434 Calculate the least common multiple of 6266 and 10188. 31919004 Calculate the smallest common multiple of 14136456 and 7440240. 141364560 Calculate the lowest common multiple of 27642856 and 29110. 138214280 Calculate the least common multiple of 2073526 and 524078. 47691098 Find the common denominator of -47/46929152 and 65/8799216. 140787456 What is the smallest common multiple of 922713 and 1677660? 18454260 Find the common denominator of 14/303 and -103/547590. 55306590 Calculate the smallest common multiple of 1025 and 206120. 42254600 Calculate the common denominator of 19/117531 and 56/2233089. 2233089 Calculate the least common multiple of 6 and 16886. 50658 What is the lowest common multiple of 9250170 and 1839? 9250170 What is the smallest common multiple of 6687 and 3538638? 2629208034 Find the common denominator of -41/1110200 and 97/520. 1110200 Calculate the common denominator of 95/77952 and 35/6538688. 274624896 Find the common denominator of -59/612 and -59/257040. 257040 Calculate the common denominator of -19/44 and 63/14401255. 57605020 What is the least common multiple of 756492 and 968? 1512984 Calculate the least common multiple of 505336 and 2779348. 5558696 Calculate the common denominator of 103/1346328 and -5/24. 1346328 Calculate the least common multiple of 3060 and 169740. 2885580 Find the common denominator of -47/552 and 47/280532. 38713416 Calculate the smallest common multiple of 17728 and 131178336. 262356672 Calculate the least common multiple of 7314 and 736488. 16939224 What is the least common multiple of 3494946 and 246? 143292786 What is the least common multiple of 3460335 and 7932? 13841340 Calculate the common denominator of -73/14509312 and -97/7254656. 14509312 Calculate the common denominator of 13/171319 and 8/2077. 5310889 What is the common denominator of 7/4541952 and 9/3027968? 9083904 What is the smallest common multiple of 5046 and 7597? 38334462 What is the lowest common multiple of 9765 and 137760? 12811680 Find the common denominator of 19/140 and 103/2846460. 19925220 Calculate the least common multiple of 99999 and 1151208. 47199528 Calculate the lowest common multiple of 256412 and 89713. 1769499212 Calculate the least common multiple of 66 and 14887968. 163767648 What is the common denominator of -13/13012440 and 101/152896170? 611584680 Find the common denominator of -167/948192 and 57/299132. 50254176 Calculate the common denominator of -107/404280 and 8/4362855. 104708520 What is the common denominator of 29/29040 and -111/60441920? 181325760 What is the smallest common multiple of 611360 and 6720? 25677120 Calculate the least common multiple of 1365 and 500213. 97541535 What is the common denominator of 181/91097664 and -37/368? 91097664 What is the smallest common multiple of 96 and 23173152? 23173152 Calculate the least common multiple of 98771610 and 131695480. 395086440 Calculate the least common multiple of 42064262 and 41226. 126192786 Find the common denominator of 3/26964749 and 87/8288. 862871968 What is the least common multiple of 1182885 and 73700? 23657700 What is the common denominator of -23/61069356 and -145/22842? 549624204 What is the smallest common multiple of 4644 and 2707796? 73110492 Calculate the least common multiple of 1023 and 74657. 6943101 What is the least common multiple of 2963 and 1449? 4293387 Calculate the smallest common multiple of 120400 and 19880. 8548400 Calculate the common denominator of 50/1411399 and -97/11594. 47987566 What is the common denominator of 41/20 and 99/60222904? 301114520 Calculate the least common multiple of 3348911 and 93545. 16744555 What is the lowest common multiple of 12788 and 4822188? 110910324 Calculate the common denominator of 29/1464 and 139/85836. 10471992 What is the smallest common multiple of 4449110 and 445? 4449110 Calculate the common denominator of -46/319 and -33/4553. 50083 Find the common denominator of 37/15548267 and -47/59458. 31096534 Find the common denominator of 103/3638796 and 149/54. 32749164 What is the least common multiple of 70801830 and 465245? 778820130 Find the common denominator of -79/93535168 and 3/27272. 654746176 What is the common denominator of -107/482112 and 179/466560? 14463360 Find the common denominator of -1/6419738 and -33/246913. 6419738 What is the lowest common multiple of 9675 and 163701? 4092525 What is the lowest common multiple of 15961166 and 18148? 31922332 Calculate the common denominator of -34/724123 and -47/85. 61550455 Calculate the least common multiple of 63 and 89184696. 1872878616 Calculate the smallest common multiple of 102 and 11441. 68646 Find the common denominator of 99/11338000 and 143/900. 102042000 Find the common denominator of 59/4869282 and -31/561. 82777794 Calculate the lowest common multiple of 54 and 18333912. 165005208 What is the common denominator of -1/4251569 and -73/302456? 374138072 Find the common denominator of -113/12345690 and 77/1410936. 49382760 Find the common denominator of 11/10217 and -13/3005. 51085 Calculate the common denominator of 197/7831320 and -43/45421656. 227108280 Calculate the com
{ "pile_set_name": "DM Mathematics" }
o(z) = 2*z - 9. Calculate o(p). 3 Let g(b) be the first derivative of -b**3/3 - b**2 + 3*b - 3. Suppose 0*h + h = 7. Suppose 0 = -m + 3*r, -4*r = 2*m - 3*r + h. Calculate g(m). 0 Let j(w) = 2*w + 46. Let t be j(-17). Suppose -h + 5*l - t = 0, -4*l + 3 = -4*h + l. Let b(g) = g**3 - 4*g**2 + 2*g + 3. Calculate b(h). 0 Let v(b) be the first derivative of -b**6/120 + b**5/20 + 2*b**3/3 + 20*b**2 - 26. Let h(x) be the second derivative of v(x). Determine h(3). 4 Let a(y) be the second derivative of 0 - 41*y + 4/3*y**3 - y**2. Give a(2). 14 Let o(r) = -142*r**2 - 24*r - 4 + 141*r**2 + 20*r. Calculate o(-3). -1 Let f(t) be the first derivative of 6 + t**3 + 0*t**2 + 0*t + 1/360*t**6 + 1/24*t**4 + 1/120*t**5. Let b(l) be the third derivative of f(l). What is b(-2)? 3 Let r(w) = w**3 - 3*w**2 + w - 1. Let b be r(3). Suppose 2 + 56 = 3*f - b*z, 3*z = f - 17. Let l be f/(-60) - (-11)/(-3). Let h(o) = -3*o - 5. Determine h(l). 7 Suppose 0*n = 5*n. Suppose n = a + 2*a. Suppose 0 = -a*u + u - 1, -3*f - 2*u = -20. Let g(y) = -y**3 + 6*y**2 - y + 2. Give g(f). -4 Suppose 5 = -62*h - 57. Let z(x) = 8*x + 26. Let r(q) = q + 3. Let i(v) = -52*r(v) + 6*z(v). Give i(h). 4 Suppose -5*r = -4*h + 5*h - 20, 2*r - 5*h = 8. Let y(v) be the third derivative of 0*v**r + 0 - 1/60*v**5 + 0*v + 1/6*v**3 + 4*v**2. What is y(2)? -3 Let u(m) = -5*m**2 + m - 1. Let o be u(1). Let i(n) be the second derivative of n**5/20 + 5*n**4/12 - n**3/6 - n**2 + 248*n. Calculate i(o). 3 Let j = -569 + 567. Let k(c) = c**3 - 3*c**2 + 1. Calculate k(j). -19 Let w(s) be the second derivative of -s**7/2520 - s**6/240 - s**5/40 - s**4/2 - 8*s. Let k(z) be the third derivative of w(z). What is k(-3)? -3 Suppose c - 2 - 15 = -3*f, 3*c - 3*f = 39. Suppose d = -d - c. Let n(x) = -x - 1. Calculate n(d). 6 Let p(d) = d**2 + 5*d - 1. Suppose o + 18 = -3*m, -m + 3*o - 10 = -4. Suppose -4*b - 8 = -4. Let u = m - b. Give p(u). -1 Let v(o) = o**3 - 7*o**2 + 3*o + 7. Let r be v(7). Suppose 2*q - 5*h = -r, 6*q + 3*h - 4 = 4*q. Let l(i) = 2*i + 5. Give l(q). -3 Suppose -35 = 14*b + 77. Let i(y) be the first derivative of -y**4/4 - 8*y**3/3 - y**2 - 8*y - 3. Calculate i(b). 8 Let a(j) = j**2 - 1. Let x = -4 + 24. Let c = -6 + x. Let d(w) = -w**2 + 14*w + 2. Let m be d(c). Calculate a(m). 3 Let y(k) = -k**3 + 6*k**2 + 5*k - 6. Let r be y(6). Let b = r + -28. Let h(v) = -v. Give h(b). 4 Let t(z) be the second derivative of 2*z**4/3 - 3*z**2/2 - z - 98. Determine t(-3). 69 Let z(k) = 3*k + 5. Let d(g) = 3*g + 6. Let t(f) = 2*d(f) - 3*z(f). Let v be t(-3). Let x(o) = -o + 9. What is x(v)? 3 Let k = -3 + 6. Let j(i) = -i**2 + 4*i - 1. Let c(x) = -4*x**2 + 16*x - 4. Let r(n) = -2*c(n) + 9*j(n). Determine r(k). 2 Let k(g) = 1 + 68*g**2 + 5*g - 4*g**3 - 66*g**2 - 3*g. Suppose -3*b - 6 = f - 2, 2 = -5*f + 3*b. Calculate k(f). 5 Let k(g) be the second derivative of -1/2*g**2 + 0 - 1/12*g**4 + 5*g + 1/2*g**3. What is k(4)? -5 Let h(u) be the first derivative of u**4/4 + 2*u**3 - 7*u - 18. Suppose 0 = 4*y - 4*k + 48, -5*y = k - 4*k + 70. Let o = y - -11. What is h(o)? -7 Let z(f) be the first derivative of 3*f**2/2 - 2*f - 1. Suppose -4 = -u + 1. Suppose 3*s - 4 = s - g, 4*g + 23 = u*s. What is z(s)? 7 Let j be 1*1*-1 - 0. Let p(a) = -6*a**2 - 4*a + 21. Let r(x) = 30*x**2 + 23*x - 115. Let d(c) = -11*p(c) - 2*r(c). Calculate d(j). 7 Let r(q) = -2*q - 4. Suppose -5*t - d - 13 = 0, -3*t - 2*d = -d + 7. Let a be r(t). Let w(u) be the first derivative of -u**2/2 + 2*u - 550. What is w(a)? 0 Suppose -6 = 4*x - 6*x. Let o be (x + -2)*(2 + 0). Let g(a) = -3*a**3 + 0*a + o*a**3 + 3 - 2*a + 7*a - 4*a**2. What is g(-5)? 3 Let i(d) = 29*d**3 - 56*d**2 + 4*d + 44. Let b(m) = 8*m**3 - 14*m**2 + m + 11. Let j(h) = -11*b(h) + 3*i(h). Calculate j(-14). -3 Let f(d) = -5 - 2*d + 551*d**2 - 4*d - 552*d**2 + 0. Let z(u) = u**3 - 5. Let i be z(0). Calculate f(i). 0 Let u(b) = 154*b**3 - 48 - b + 46 + b**2 - 156*b**3 + 4*b**2. Give u(3). -14 Let s(z) = z**2 + 1. Let x(m) = 11*m**2 + 4*m + 6. Let r be x(-2). Let k be ((-3)/(-2))/(r/(-56)). Determine s(k). 5 Let f(s) = -s**2 - 1. Let d(o) = 4*o**2 - 4*o + 7. Let b(n) = d(n) + 3*f(n). Give b(5). 9 Let u be (4/2 - 1)*1*-3. Let r be u/6*-2 + 0. Let t(w) = -9*w**3 - 2*w**2 + 2*w - 1. Determine t(r). -10 Let g(a) = 3*a - 2. Let c(s) be the third derivative of 5*s**4/24 - 37*s**3/6 + 24*s**2. Let j be c(7). Give g(j). -8 Suppose 0 = -7*s - 0 + 21. Let d(t) = 6*t + 7 - 4*t**2 + 7*t - t**s - 5*t. What is d(-5)? -8 Let t(g) = -g**3 + 5*g**2 + 7*g - 1. Let f be t(6). Let u(w) be the second derivative of -7/6*w**3 + 1/12*w**4 - 9*w + 3 + 2*w**2. Calculate u(f). -6 Suppose -52*a + 54*a - 5*l - 8 = 0, -3*a = -3*l - 3. Let j(k) = 13*k. Calculate j(a). -13 Let n(p) = -p**2 + 5*p + 6. Let a be n(6). Let c(g) = 9*g**2 + 72*g - 45. Let l(y) = -5*y**2 - 41*y + 24. Let s(z) = 4*c(z) + 7*l(z). Give s(a). -12 Suppose 3 = -2*l + 1. Let v be 10/35 - 5/(-7). Let x(m) = m + 7*m + 2*m + v - 9*m. Determine x(l). 0 Let d(a) be the second derivative of -a**4/12 + a**2/2 - a - 4. Suppose 0 = 2*t + 2*t + 4. Determine d(t). 0 Let p = 43 - 37. Let f(d) = -2*d + 11. Give f(p). -1 Let t(w) = -3*w. Let g(d) = -d**2. Let s(p) = -p**3 - p**2 + p + 1. Let f(q) = -g(q) - s(q). Let a be f(-1). Calculate t(a). -3 Let m(h) = h**2 - h + 0*h**2 - 3*h + 0 - 1. Determine m(7). 20 Let x(p) = -p**2 - 5*p. Let f = 143 - 147. Determine x(f). 4 Let j(a) = -5*a - 25. Let g be (-8)/(-2)*186/(-124). What is j(g)? 5 Let o(t) = 3*t. Let p(z) = -z. Let s be p(-4). Give o(s). 12 Let p(b) = -b**3 + 3*b**2 + 4*b + 3. Suppose -3*o + 5*g - 166 = 0, 0 = -o - 5*g - 0*g - 82. Let q be o/(-15) - (-10)/(-75). Give p(q). 3 Let x(o) = -o**2 + 11*o - 4. Suppose 0 = 2*l - 34 + 12. Let v be x(l). Let z(w) be the first derivative of w**3/3 + 9*w**2/2 + 5*w + 1. What is z(v)? -15 Let z = -26 + 32. Let x = 7 - 1. Let b(i) = 9*i - 11. Let d(t) = -5*t + 6. Let l(h) = x*b(h) + 11*d(h). Give l(z). -6 Let j(b) = 0 + 4 - 82*b + 88*b - 5. Determine j(4). 23 Let q(j) = -2*j**2 - 21*j - 15. Let f(d) = 3*d**2 + 32*d + 23. Let v(s) = 5*f(s) + 7*q(s). Calculate v(-11). -12 Suppose -3*j + 2 = -1. Suppose j = -3*d - 2. Let a(n) = -39*n - 30. Let k(i) = 5*i + 4. Let s(o) = -2*a(o) - 15*k(o). Calculate s(d). -3 Let t(r) = 6*r + 5. Let j(o) = -6*o - 13. Let u(l) = -2*j(l) - 3*t(l). Calculate u(4). -13 Let l(q) = 2*q - 4. Let i(w) = -4*w + 7. Let n(y) = 6*i(y) + 11*l(y). Let z(m) = 3*m + 4. Let k(j) = 5*n(j) + 3*z(j). Suppose -a = 3*a + 24. What is k(a)? 8 Let l(c) be the second derivative of 0 - 1/12*c**5 - 7*c + 1/12*c**4 + 1/3*c**3 + 1/120*c**6 + c**2. Let t(s) be the first derivative of l(s). Calculate t(5). 12 Let h(f) = f**2 - 3*f - 7. Let q(b) = -b**2 + 4*b + 7. Let o(a) = 4*h(a) + 3*q(a). What is o(5)? 18 Suppose m - 2*n + 6*n = 12, 0 = -m - 2*n + 8. Suppose -19*i = -17*i - 12. Let l(c) = 1 - i - 14*c**2 + 6*c + c**3 + 9*c**2. Determine l(m). 3 Let t(n) = n**3 + 7*n**2 + 8*n - 8. Suppose 10 = -3*d + d. Let c be t(d). Let k(j) = -2*j**3 + 3*j**2 - 2*j + 3. What is k(c)? -5 Let c(q) = -q + 1. Let o(g) = -g**2 + g + 6. Let x(f) = -c(f) + o(f). Let p = 51 - 47. Determine x(p). -3 Let u(w) = w**3 + 6*w**2 - 8*w - 6. Let x = -4 - -6. Let m(f) = -f**2 + f + 1. Let c(r) = x*m(r) + u(r). Determine c(-5). 1 Let m(a) = -4*a + 18. Let s be m(7). Let t(n) = n + 9. Determine t(s). -1 Let v(d) = -5*d + 21. Let z(q) = -14*q + 57. Let o(b) = -11*v(b) + 4*z(b). Suppose 5*f - 3*a + 30 = 0, -2*a - 3 = 3*f - 4. Determine o(f). 0 Let y = 23 + -33. Let k = 15 + y. Suppose -k*v = -v - 8. Let i(h) = h**2 - h - 1. Determine i(v). 1 Let c(q) = 3*q - 36. Let d be 1 + (-4 - -2) + 11. Determine c(d). -6 Let n(c) = -3 - c - 6 + 7. What is n(-4)? 2 Let k(w) = 9 + 13*w + 3*w**2 - 15*w - 17*w**3 + 18*w**3. Determine k(-4). 1 Let h(v) = -v - 9. Let g(j) = -j - 1. Let a be -5 + (2 + 4)/2. Let m be g(a). Suppose 0 = 6*q + 41 + m. Give h(q). -2 Let f(u) = 8*u**2 + 5 + 8*u**2 - 14 - 12*u - 17*u**2. Let o be f(-11). Let m(c) = 2*c**2 - c - 1. Calculate m(o). 5 Suppose 16*o - 12*o - 48 = 0. Let h be o/3 + 0 + 1. Let s(n) = n**3 - 6*n**2 + 7*n - 2. Give s(h). 8 Let r = 0 - -1. Let c(o) = -r - 3 - 1 + 7*o - 1. Let b(d) = 20*d - 17. Let p(n) = -6*b(n) + 17*c(n). What is p(2)? -2 Let h(s) = -s**2 - 2*s - 6. Let r(o) = -o
{ "pile_set_name": "DM Mathematics" }
b + 2*b - 4 = j*z, p = b + 3*z + 6 for b. 0 Suppose -140*l + j + 14 = -137*l, -3*l + 5*j = 14. Solve k + o + l = 13, 0 = -5*k + 5*o for k. 3 Suppose -4*x - 2*h + 32 = 0, -5*x = -5*h + 8*h - 42. Suppose r - y = y - x, 3*y = 12. Solve -d - 3*n = 7, -2*n - 11 = -r*d + 7 for d. 5 Suppose -121*r + 102 = -87*r. Solve 2 = l - r*w + 15, -9 = -2*l - w for l. 2 Suppose 17*c + 17 = 51. Suppose -c*l + 2*u = u - 6, 0 = -l - u. Solve 3*q + 2*q + 5 = 0, l = -2*y + 2*q for y. -2 Let h be -74*(-4 + 2)*3/6. Let o = 71 - h. Let z be -6*(42/(-9) - (o - 1)). Solve 5*r = 0, z*y = 2*r - 21 + 5 for y. -4 Let d = 36615 + -36610. Solve -d*n + 35 = 0, 18*i = 16*i + n - 17 for i. -5 Let w(a) = -12*a - 64 + 25 - 8 + 1 + 4*a. Let d be w(-6). Solve 3*s = -l + 8, 0 = -5*l - 7*s + d*s + 10 for l. -1 Let v(g) = -6*g + 67. Let a be v(11). Let k be (5 - -1)/3 + a. Solve 3*f - 4*q = 19, -k*q - 14 + 6 = -f for f. 5 Suppose -386 = -2*z - 380. Solve 5*n - i = -14, 8*n = 6*n + z*i - 3 for n. -3 Let c(k) = -k + 12. Let s be c(3). Let r be (2/4)/(s/36). Suppose -r*p + 3*d = 3, 2*p - p + 9 = 4*d. Solve -2*o + 8 = -4*t - 4*o, -3*o + p = t for t. -3 Let j = -34 - -45. Suppose -j*c + 174 = -9*c. Let a = 89 - c. Solve -2*k + 22 = a*o + 3*k, 4*k = -2*o + 18 for o. 1 Let o be -2 + 0 + -13 + 15. Suppose o = -22*f + 19*f + 9. Solve 0 = -f*m + 2*y - 8, 3*m = -2*m + 2*y - 8 for m. 0 Let u(k) = 3*k**2 + 27*k - 5. Let c be u(-16). Let g = 335 - c. Solve 4*t - 2*p = -6, -t + 12 = t - g*p for t. -4 Let j = 38 + -177. Let x = 141 + j. Solve 3 = -2*s - f, 0 = -5*f + 17 - x for s. -3 Suppose 6*j + 8 = 32. Suppose -3*n + 2 = 2*s + 8, 4*s + 2*n - j = 0. Solve -12 = 4*v + 2*h, 3*v + 6 = -5*h - s for v. -3 Let c be 0 + 0 + -2 + (-206 - -211). Solve -4*s - 32 = 5*g, -5*g - 15 - 14 = c*s for s. -3 Let j = -445 - -448. Let z be 5/(-10) + (-52)/(-8). Solve 0 = j*o - 4*i + 5, -o + 4*i - 45 = -z*o for o. 5 Let h(b) = -246*b - 233. Let a be h(-1). Solve -3*t + z = -4, t + 1 = -5*z + a for t. 2 Let z = -51 + 50. Let k be 63/(-36)*-4 - (-2)/z. Solve 23 = l - k*b, 3*b = 2*l - 6*l for l. 3 Let t(o) = 3*o**2 + 37*o - 43. Let h(u) = 4*u**2 + 39*u - 42. Let j(v) = -4*h(v) + 5*t(v). Let b be j(27). Solve 8 = -3*p + p - 3*c, p + 3*c + b = 0 for p. -1 Let w be ((-1)/(40/(-210)))/(11/44). Let j be 3 - 1 - (-2)/1. Solve -5*o + w = -4*k, o - j*k = -o + 6 for o. 5 Suppose 0 = 3*m - 6, -2*m - 2 = -5*v + 2*m. Let i = 115 - 60. Let k be (20/i)/v - (-40)/22. Solve 5*y = 4*h + 4, 2*h + k = -0*h - 5*y for h. -1 Suppose 79*z - 1085 = z - 77*z. Solve x = 0, v + z*x - 2 = 2*x for v. 2 Let p = -54 - -54. Suppose p = 7*a - 2*a - 10. Suppose -5*l = -s + 22, l + 24 = 5*s - a*s. Solve 3*x + s = -h, h = -2*x + 2 - 7 for h. -1 Let n = 1545 - 899. Let l = n + -642. Solve 2*d = d + 3, 0 = 5*r - 3*d + l for r. 1 Let q(c) = -2*c + 56. Let l(u) = 5*u**2 + 5*u + 3. Let t be l(-2). Let i be q(t). Solve 0 = 2*j + 5*x - 13, 13 = -3*j - 5*x + i for j. 4 Let x = -99 - -101. Suppose x*k + w = 4 + 5, 5*k = 2*w. Solve -k*q + 1 + 4 = -y, 4*y = -3*q + 2 for y. -1 Suppose 5*l + l - 18 = 0. Suppose 4*d - 4*b + 14 = l*d, -2*d = 2*b - 12. Solve 4*t - d*x - 26 = 8*t, 3*t + 3*x + 27 = 0 for t. -4 Let x(u) = -u + 2. Suppose 2 = -55*r + 53*r. Let k be x(r). Suppose k = q + 1. Solve -4*n - 8 = 0, 7*n - q*n = 4*v - 2 for v. -2 Let k(q) = 5*q**2 + 473*q - 185. Let d be k(-95). Solve d*y - 10 = 4*l, 4*l = y - 165 + 163 for l. 0 Let q(f) = f**3 + 39*f**2 + 72*f - 59. Let v be q(-37). Suppose -6*y = -5*y - 5*r - 23, 0 = -3*y + 5*r + 39. Solve v = -3*b, 3*t - 4*b - y = -3*b for t. 1 Suppose -217*s + 10*s = 10*s - 651. Solve s*v = 16*p - 13*p, 0 = -p + 5*v + 20 for p. -5 Let c = -107 - -111. Let v(d) = -d + 23. Let f be v(19). Solve -g = -3*k - c, -k + 0*k = g - f for g. 4 Let l(d) = 4*d + 54. Let i be l(-13). Suppose -3*u - 4*w + 11 = 0, -5*u - 4 + 27 = i*w. Solve -u*v + 28 = 4*g, -2*v - 3*g = -7*g for v. 4 Let h(u) = -u**3 + 5*u**2 - u + 5. Let j be h(5). Let t be (-210)/(-50) + 8/10. Suppose -t*f + 9 = -6. Solve 2*q = -v + f*q + 2, -3*q + 9 = j for v. 5 Suppose -38*t - 39*t + 1240 = 47*t. Solve -f = 3*v - 12, -3*f - 16 = -t*v + 6*v for f. 0 Suppose 5*x = 11*a - 10*a - 15, 2*x + 6 = 5*a. Let d(b) = -21*b + 21. Let m be d(a). Solve 4*r - 1 = -3*j + m, -12 = -4*r + 2*j for r. 4 Let g = -95 - -101. Let c be (-8)/g + 80/15. Let q be (-1 + 6 - -2) + -1. Solve 11 = -4*o + 3*l, -o = -c*o + 3*l - q for o. -5 Suppose 2*l + 6 = -4*y, 59*l = -2*y + 66*l + 37. Suppose 0*o = -o. Solve -h - 3*i + y = -1, -h - i + 2 = o for h. 2 Let p be ((-30)/(0 - -5))/(-2). Suppose 0 = -p*u + 9 + 6. Let s(y) = 36*y**3 - y**2 + 2*y - 1. Let o be s(1). Solve -4*c + u*i = o, 5*c + 3*i + 16 = 2*i for c. -4 Let y(h) = h**2 + 20*h + 36. Let w be y(-9). Let j = w - -68. Solve 3*n - j = -g, -2*g - 3*n + 13 = -3*g for g. -4 Let v(r) = r + 10. Let x(j) = -j - 13. Let z(d) = -3*v(d) - 2*x(d). Let g = 12 + -16. Let s be z(g). Solve s = 3*t - 4*n + 19, 4*n = -t + 14 + 1 for t. -1 Let s = 5206 - 5203. Solve 8*j = 6*j - t - 11, 5 = j - s*t for j. -4 Let x(y) = -y**2 - 24*y - 31. Let n be x(-22). Let f be 30/(-6) - (3 - n). Solve -f*w - 13 = -3*d, -4*d + 2*d + 8 = -3*w for d. 1 Suppose 0 = -2*n + 3*n + 4, -20 = -2*u + 3*n. Let o be 150/u*18/27. Let a = o - 23. Solve 2*m + 5*j + 45 = -3*m, -a*j = -3*m - 2 for m. -4 Let y(c) = c**2 + 6*c + 8. Let q be y(-4). Suppose q*v + 2*v - 4 = -2*n, -2*v = 0. Solve -4*d - 6 = -6*d, n*z - 4*d = -18 for z. -3 Let l be (-16)/1 + (-49)/(-7). Let k be 0/((-28)/(-7) + l). Solve -g + 5*r - 14 = 0, 4*g - g - 5*r + 22 = k for g. -4 Let w(f) = 9*f**2 + 16*f - 1. Let y be w(-2). Suppose 62 = -y*m + 5*m. Solve -4*k - 5*r - 36 = 0, 4*r - 7 = -2*k - m for k. -4 Suppose -4*z - 2*a = -32, -21*a - 15 = 3*z - 26*a. Solve -3*p = z*o - 13, -23*o = -28*o - 2*p + 17 for o. 5 Suppose 144 = 8*q - 5*q. Suppose -t = 3*t - q. Let m be t/(-4) - (16/(-2) - 0). Solve i - 1 = -o - 0, o + 23 = m*i for i. 4 Let a be ((-36)/(-60) - 1)*-10. Solve -5*q = 3*s - 7, -5*q - 21 = -0*q - a*s for q. -1 Suppose 10*z - 10507 = -10467. Solve -3*s + 10 = 3*g + 34, -z*g - 26 = 2*s for g. -5 Let m = 173 + -165. Solve -4*n + 5*b = -41, m = -5*n + 3*b + 43 for n. 4 Suppose -3*o = -8 - 46. Suppose -1053*t - 1 + 1 = -1083*t. Solve 4*m - 35 = -5*f, t*m - f + o = 3*m for m. 5 Suppose -20 = t - 22. Suppose 3*m = -2*o - 0*m + 14, 4*o + 3*m - 34 = 0. Suppose 0*h + t*h = o. Solve -h*q + 3*q - 2 = -5*p, 3*p + 5*q + 5 = 0 for p. 0 Suppose -839 = -36*o + 25. Solve -13 = o*u - 20*u + 5*t, 6*u + 14 = -2*t for u. -2 Suppose 25 = 3*r + 31. Let b be 27 - (r + -5 - -4). Suppose 0 = -4*k + 17 - 9. Solve 3*x + k*x - o = b, -3*x - 4*o - 5 = 0 for x. 5 Let r be -1*(28/7)/(-4). Let o be ((r - 1)*1)/(-3). Solve -3*g - 3*p + 12 = -o*p, 3*g + 5*p = 22 for g. -1 Let g = -6573 - -6577. Solve -3*c = 3*h, -g*c = 2*h - 7*c - 15 for h. 3 Let i(n) = n**3 + 6*n**2 - 2*n - 17. Let f be i(-5). Let r = -6 + f. Suppose -2*p - 7 = 1, 4*q + r = -4*p. Solve 4*c - 10 = -2*j, -3*c - 3*j + 7 = q for c. 3 Suppose 5*h + 16 = p, -2*p + 3*h + 1 + 17 = 0. Solve 0 = w - v, -w + 4*v + 0*v = p for w. 2 Let a(q) = -q**3 - 11*q**2 + 102*q. Let w be a(-17). Suppose w = 131*c - 145*c + 70. Suppose -4*x + 5 + 7 = 0. Solve -x*f - c*y = 7, -2*y - 6 = -4*f - y for f. 1 Let o be 2*(-117 + 5/5). Let t = 256 + o. Solve -c + 2*c - 4*l - t = 0, 0 = 2*l + 10 for c. 4 Suppose 0 = 179*i - 226*i + 329. Solve 3*g = 4*l + 22, -9*g = -3*l - i*g - 16 for l. -4 Let t = -33 + 57. Let z = t - 24. Suppose z*v - 5*v + 15 = 0. Solve 0 = 4*k - v*q + 23, -4*k + 3*q = q + 18 for k. -2 Suppose 54*h = 62*h + 1888. Let v = h + 240. Solve 5*l + v*i = -36 - 9, -4*i = -3*l + 5 for l. -5 Suppose -2*h - 542 = 3*v, 8*v + 277 = -h + 5*v. Let y = h + 268. Solve -27 = 5*t - y*o, -t + 4*o + 5 = 6*o for t. -3 Let u = -39 - -48. Suppose 4*h = -c + 3 + u, 3*c + 3*h - 18 = 0. Solve -5*o + 5*t = -30, -t = -2*o - c*t - 8 for o. 2 Suppose 0 = -4*j - 13*j - 83*j - 34*j. Solve b - 8 = -5*x + 11, j = b - 5*x + 11 for b. 4 Let k = 199 - -305. Suppose k*f - 506*f = -4. Solve -5*t = i - 30 + 8, 4*t - 12 = f*i for i. 2 Let w = 4550 - 4519. Solve 4*z = -2*d + 22, -4*z - 5*d - 6 = -w for z. 5 Let r be (1*(-6)/15)/(2/(-10)). Suppose 24 = 5*w + 9. Suppose w*c = -c + 16. Solve c*b - r*f + 18 = 0, -b + 5 = -6*b - f for b. -2 Let k(j) = -
{ "pile_set_name": "DM Mathematics" }
217473? -15.8782527 What is -3740.682 less than 12722? 16462.682 What is 2.6 less than 10266085? 10266082.4 Put together -0.065269 and -590. -590.065269 0.93444+60825 60825.93444 What is 9.291 + -17.9? -8.609 What is the distance between 32293774 and 0.5? 32293773.5 Put together 1.62 and -1.76638. -0.14638 0.4+-169.52704232 -169.12704232 Add 41.575664 and 0.12. 41.695664 Work out 944187 + 16937. 961124 What is 5 minus 2355.9941? -2350.9941 What is -0.04 - 616.4742137? -616.5142137 Total of 650 and -7390344.1. -7389694.1 -2797414+-0.7695 -2797414.7695 Calculate -0.3 - -50707.3719. 50707.0719 What is 191 - 0.24546826? 190.75453174 What is 67166450 take away 33? 67166417 Add together 1 and 0.68365114. 1.68365114 Work out -106315.05 + 4. -106311.05 Calculate 3871680 - -29.4. 3871709.4 What is 0.42 less than -28.9947? -29.4147 What is the difference between -21503220 and -2? 21503218 What is -20780.041 take away -0.2? -20779.841 Put together -4 and -67628312. -67628316 Put together -147.07403637 and -0.2. -147.27403637 What is 100 plus 38974.459? 39074.459 Put together -1873.9 and 347.8. -1526.1 0.0317+1651.86 1651.8917 Work out 56.4 + 335458. 335514.4 What is -5969.186 take away -2? -5967.186 Put together 7 and 66.84866. 73.84866 What is 232630.9169 + -0.2? 232630.7169 Work out 0.04 + 292192842. 292192842.04 What is 1813441 + -6.5? 1813434.5 Put together 3.9 and -2.9982589. 0.9017411 Calculate -467346.7 + 5. -467341.7 What is the distance between 1513637 and 47? 1513590 What is -5021 less than 7.044? 5028.044 Subtract -3 from 7360.4636. 7363.4636 Total of -883.1219678 and 0.5. -882.6219678 Sum -3 and -8794.57. -8797.57 Sum -7 and 15731443. 15731436 Work out -9028.856 - 16. -9044.856 What is the difference between 0.29 and -123904? 123904.29 Work out -1 - 2126290. -2126291 Add -332985 and -76. -333061 Calculate 67690 + -0.06574. 67689.93426 Sum -1375.37173 and 18. -1357.37173 What is the distance between -0.3 and 13287593868? 13287593868.3 Calculate 92112.4 + 12824. 104936.4 Calculate 0.891 - -1.62212. 2.51312 Work out -1206986 + -1329. -1208315 What is 20 - -0.2788767? 20.2788767 Add -2.2397 and -149.895. -152.1347 What is 0.5 - -2073051869? 2073051869.5 What is -2927 minus -23776? 20849 -7456119 + -2 -7456121 What is -16.0004 minus 9.42722? -25.42762 What is -0.194 + -47711215? -47711215.194 What is 32.7 + 413947? 413979.7 Subtract 0.007627 from -5144. -5144.007627 2006+7.7 2013.7 What is -0.5 + -4135287037? -4135287037.5 What is -45536 minus -3854.1? -41681.9 -176.7 + -290369 -290545.7 What is 203.096431 minus 0.4? 202.696431 Work out 3124 - -7819662. 7822786 What is -41 + -176476.58? -176517.58 Put together -59088429 and 0.9. -59088428.1 Calculate -0.049 + -3975.14. -3975.189 Total of -104499 and 31797. -72702 What is -2.4 + 2759.5374? 2757.1374 What is -146 - 68885.586? -69031.586 -818 - 7720.871 -8538.871 Total of -16.132 and -5268.9. -5285.032 Calculate -6.7976909 + -1. -7.7976909 What is 2 take away 1876632? -1876630 2461.402 - 4 2457.402 Total of 11 and -0.1072448. 10.8927552 Sum -8278443 and 10.08. -8278432.92 What is -3 take away -2280.51867? 2277.51867 What is 69.878 + 0.6217? 70.4997 5153 - -0.1185 5153.1185 808.876 + -0.16 808.716 Total of 226 and 12108193. 12108419 What is 0.0663243 take away 0.5? -0.4336757 Sum -3.1674986169 and 1. -2.1674986169 28445.3+12.091 28457.391 Calculate -35791.842 - -0.1. -35791.742 What is 8.4933439 - 478? -469.5066561 23.8734335 - -0.14 24.0134335 Sum -238 and -1.4205852. -239.4205852 Add together -0.1569610699 and -1. -1.1569610699 -424185 - -0.023 -424184.977 What is -6.77 + -0.0541707? -6.8241707 What is -1.8 + -1318167103? -1318167104.8 What is -0.1 minus -0.4638867? 0.3638867 What is the difference between -100757 and -0.45? 100756.55 Subtract -0.788 from -998736. -998735.212 What is 65.35437 minus -0.06? 65.41437 Sum -55 and 249698. 249643 What is 0.546 less than 5.905? 5.359 Calculate -1072.7973 - 0.3. -1073.0973 What is -26.1 take away -493659.6? 493633.5 Subtract 885337 from 1104. -884233 Sum -0.0618 and -39999. -39999.0618 -155+-1013.3705 -1168.3705 What is 89120008626 plus 4? 89120008630 Add -1062.731 and 0.884. -1061.847 -252 - 718 -970 What is 0.2 + 19290196771? 19290196771.2 Sum -192.496 and 0.2. -192.296 Work out -476.222 - 49287. -49763.222 What is 68 minus 295656940? -295656872 566344942+-9 566344933 What is 5799 - -477.3? 6276.3 What is -1454 minus 84819? -86273 What is 0.4 minus -2549745? 2549745.4 What is the difference between 291006 and -10.7? 291016.7 Work out 23051.4667 + 1.5. 23052.9667 What is -19000 + 0.71? -18999.29 Add -0.09 and 3346.5092. 3346.4192 What is 0.01 minus 10711964? -10711963.99 Total of -1927 and -69.1. -1996.1 Add -100 and -125.396. -225.396 What is -2.7 less than -1238198? -1238195.3 Sum -6 and 4.7837598. -1.2162402 Total of -2.1304 and 2.53. 0.3996 Put together -0.2 and -484331.924. -484332.124 89572773 + -0.1005 89572772.8995 What is -68.3260867 - 10? -78.3260867 4277.599 + 1.549 4279.148 Add together -3 and 5276569. 5276566 Add -855.7 and 0.31. -855.39 Calculate -34118 + 1510. -32608 -27+142.073631 115.073631 Subtract 27885685 from 28. -27885657 What is -294.657 minus -89? -205.657 Add 164 and -187.792. -23.792 Add 441089171 and 2. 441089173 What is -3.256 + 6892? 6888.744 What is 36 plus 148.127? 184.127 What is the distance between 1.2 and -1549991? 1549992.2 Sum 126596.56 and 45. 126641.56 What is -1.7 less than -3000.517461? -2998.817461 Add together -0.08 and 4348209361. 4348209360.92 What is 40130 plus 384? 40514 Calculate -6.392 - -118.618. 112.226 Put together -129534 and 33663. -95871 0.0336+-4477 -4476.9664 What is 0.3 less than -1191243? -1191243.3 Calculate -7342610 - 10060. -7352670 Add together -34.48145 and 320. 285.51855 Work out 1058703 + 1.119. 1058704.119 Put together 0.76468 and 0.58. 1.34468 305.7223 + -0.5 305.2223 What is the difference between -522781 and 5.3335? 522786.3335 Calculate -97745630 - 2. -97745632 Add together 5.971 and -37. -31.029 What is -289187 take away 18.7? -289205.7 What is 0.03 - -20.18064558? 20.21064558 3153.43316+-0.5 3152.93316 0.1 + 67.19373247 67.29373247 Sum 4163 and -109325. -105162 What is -23583561 + -948? -23584509 -186 - 4.2279 -190.2279 -39514363+-175 -39514538 What is -4366074 take away 1744? -4367818 Add 0.26 and -500261. -500260.74 What is the difference between -2335.2 and 569? 2904.2 Total of 0.0485151292 and 1. 1.0485151292 Sum 0.043 and -2554914. -2554913.957 What is the distance between 0.4 and 8549276? 8549275.6 Calculate -14651 + 411710. 397059 Total of -1313700896 and 8. -1313700888 Subtract 3872.1 from -995.5. -4867.6 Work out -138648 - 0.057. -138648.057 Sum 8.712225 and 0.0118. 8.724025 What is the difference between -5.3916 and 0.0847866? 5.4763866 Work out -55472.9 - -4.2. -55468.7 What is -0.47 plus -148942774? -148942774.47 What is 856667.3 minus 3? 856664.3 What is the distance between 0.9516858945 and -12? 12.9516858945 What is 35649862 - -0.12? 35649862.12 Work out -84801 + -24797. -109598 Sum -0.3 and 326830679. 326830678.7 Total of 0.2 and 538.000944. 538.200944 -113.59 + -4418493 -4418606.59 Subtract 3401 from 36372. 32971 What is -17739292288 plus -5? -17739292293 Work out -159 - -0.55706295. -158.44293705 What is -9 minus -0.011167422? -8.988832578 -2576908 - 20 -2576928 What is the distance between -14 and -0.029310968? 13.970689032 Sum 102.8 and -0.079009. 102.720991 Subtract 15445 from 0.06. -15444.94 What is 0.08767994 minus 4? -3.91232006 What is the distance between -315536.4 and -5? 315531.4 What is the distance between -477 and 1282358? 1282835 Put together -0.79044 and -0.231492. -1.021932 Total of 1782.39 and -0.0067. 1782.3833 What is -77604.371 minus -0.1? -77604.271 Total of -37889716 and -1.11. -37889717.11 Sum 19.6883 and 160. 179.6883 -54191+-4.704 -54195.704 What is the difference between -0.29 and 2.8249? 3.1149 6.58740977 - -172 178.58740977 Add 9.998817 and -2. 7.998817 What is 0.2725 take away -91296? 91296.2725 What is 1667 take away -1479? 3146 What is the difference between 0.92 and -4.1771375? 5.0971375 What is 0.1 less than 538854413? 538854412.9 Add together 0.216 and 2646. 2646.216 410+-6367.9 -5957.9 Calculate 0.4 - -10076303.9. 10076304.3 Pu
{ "pile_set_name": "DM Mathematics" }
v - 24 = -5*w + 89*v, 0 = -4*w + 4*v - 24. Solve -4*s - z - 14 = 0, 0 = -w*s + 5*s - 3*z + 26 for s. -4 Let p(y) = -2*y - 24. Let i be p(-10). Let l be i/(-8)*0*(-1 - 0). Solve h = 3*m + 5, l = -2*m - h + 5 for m. 0 Suppose 18 = 4*b - h + 6, 0 = 2*h. Suppose 75 = 4*w + 5*o, -b*w - 4*o + 32 + 24 = 0. Solve -5*q - 5*p - w + 0 = 0, -2*p + 2 = 0 for q. -5 Suppose 17 = -5*d - i + 103, 0 = d - i - 16. Suppose 0 = 38*l - 32*l. Suppose 4*v + 16 - 1 = -w, l = 4*w + v - 15. Solve -h = -w*q - 23 + 2, 4*q + d = h for q. -4 Suppose 2*w - 3*x = -3, 0 = w - x + 6*x - 5. Let b be (w - -1)/((-31)/(-279)). Solve 4*a - 3*u + b = 0, 5*a - 2*a + 12 = 4*u for a. 0 Let a be (-1 + 5*-2)/((567/54)/(-21)). Solve 4*i + 18*w - a*w = 0, 0 = 5*i + 3*w - 40 for i. 5 Let w = -8 - -11. Let x = 364 + -360. Solve -w*o - 32 = 5*p, p = -x*p - o - 24 for p. -4 Let d = 112 - 110. Suppose -6 = -d*y + 2*k - 2, 0 = -4*y - k + 13. Solve z = -n, 5 + 4 = y*z for n. -3 Let y(j) = 6*j**2 + 11*j + 2. Let s = -132 - -130. Let z be y(s). Solve -4*h - 4*l = -16, -2*h = -5*h - l + z for h. 0 Let v(r) = r**2 - 4*r - 8. Let f be v(6). Let p be (30/(-11 + 5))/((-2)/f). Let a = p + 0. Solve 2*c - n - 4 = -3*n, 2*n - a = -5*c for c. 2 Suppose 2*l + 72 = -0*l. Let a(f) = -f**3 + 8*f**2 - 6*f + 14. Let r be a(8). Let y = r - l. Solve 0 = -o + 3, y*u - 5*o + 16 = 1 for u. 0 Let j be 160 + (1 + -1 - 2). Let g = -145 + j. Solve -3*z - 3*h = 2*h + g, -4*z = -h - 21 for z. 4 Let d = 3072 - 3036. Solve 4*r + 3*j - 4 = 0, 39*r - d*r = -4*j + 3 for r. 1 Let k(b) = -4*b + 30. Let x = -172 + 179. Let y be k(x). Solve -3*s = y*i - 9, -3*s = i - 0 - 12 for s. 5 Let s(w) = -6*w - 54. Let u be s(-9). Suppose -3*b + i + 10 = u, -7*i + 10*i = b - 14. Solve -b*c = -3*y, y + 3*y = -8 for c. -3 Let b(d) = 34*d - 134. Let z be b(4). Solve -5*v = 3*q + 8, -2*v = -z*q + 7*q + 7 for v. -1 Let y = 1388 - 1384. Solve 45*q - 47*q = y*s + 10, -5*s + 7 = -4*q for s. -1 Suppose 4*m - 100 = -m. Let k be ((-308)/(-1232)*(-2 + 2))/1. Solve -4*n = k, -5*u - 2*n + 5*n - m = 0 for u. -4 Suppose t + 10*t = -382 + 448. Solve -4*f + t = -m, -3 - 27 = 4*f + 5*m for f. 0 Let j = 1316 - 1312. Solve -5*y + j*s + 45 = 0, 0*y + 2*y + 3*s = -5 for y. 5 Suppose -1 = -f - c, 24*c - 16*c = -f - 20. Let k be (-2 - -9)*(2 - 1). Suppose 10*x - k*x = 0. Solve j + 7 = -3*q - x, -26 = f*q - 2*j for q. -4 Let v(a) = a**2 - 10*a - 15. Let p be v(-2). Suppose -4*b - p = -5*u - 19, -2*u - 6 = -2*b. Solve -10 = -5*s, -b = -0*y + y - 5*s for y. 5 Suppose -37*q + 14*q + 21*q = -30. Solve 4*s + j = -13, 13*s - q*s + 16 = -4*j for s. -2 Let r(w) = 3*w + 24. Let v(x) = -5*x - 47. Let h(b) = -7*r(b) - 4*v(b). Let k be h(15). Solve -m = 2*s - k*m - 12, -10 = -3*s - 2*m for s. 4 Let c be 24/(-30)*65/(-26). Let g(p) = 3*p + 3. Let j be g(3). Solve 4*x = v - 4, -c*x + 4*x - 4*v = j for x. -2 Suppose -7*p + 83 = 349. Let r be 19*(p/(-14) + (-6)/(-21)). Let m = r - 52. Solve 5*b - 3*b + m*i + 15 = 0, 12 = -2*b - 2*i for b. -5 Suppose d + 688*a - 689*a - 3 = 0, -2*d - 4*a = -42. Solve 2*o = 5*x + 17, -o + 10*x = 11*x + d for o. -4 Let p(m) = -m**3 + 30*m**2 - 29*m. Let k be (12/(-3))/(-2)*(-290)/(-20). Let u be p(k). Solve -2*v - w + 6 = u, v + 3 = -4*w - 1 for v. 4 Suppose -d + 342 = 113*d. Solve f - 8*b = -10*b + d, -2*f + b - 14 = 0 for f. -5 Let f(u) = -5*u**2 + 23*u + 45. Let y be f(6). Solve 3*n - 5*l - 227 = -205, 4*l = -y*n - 23 for n. -1 Suppose 0 = 2*d - 3*d + 4. Let u = -168 + 210. Suppose u*y = 32*y. Solve -d*s + 8*s + 16 = y, 0 = -r + 3*s + 7 for r. -5 Let f(a) be the second derivative of -a**5/20 - 5*a**4/12 - 5*a**3/3 + 4*a - 4. Let t be f(-3). Solve -i + 5*i - g = t, -4*i - g = -4 for i. 2 Let s(b) = 50*b - 2232. Let n be s(45). Solve -m - 9 = -w, 14*m + 4 = n*m + 4*w for m. -4 Suppose -57 = -21*w + 2*w. Solve -5*j + 4*x = -10, 4*x = w*j + x - 6 for j. 2 Let c be (-4)/(-3)*16/(1728/405). Solve 0 = -z - 5, 2*g - c*z - 17 = -2*z for g. 1 Let j(m) = m**3 - 18*m**2 + 47*m + 137. Let c be j(14). Solve 3*x + 5*n = -11, 10*x = c*x - 2*n for x. -2 Let i = 304 - 304. Suppose 137 = 7*a - 45. Solve i = -m + 3*w - 15, 2*m + a = w + 4*w for m. -3 Suppose -4*g - 145 = g. Let j = -54 - g. Let r be (-4)/(-5)*j/(-2). Solve 3*x - r = 3*l - 2*l, -l - 6 = -x for x. 2 Suppose -3*o - 7 = -2*v - 2*o, 2*v - 4*o = 10. Let i be 4 + (-12)/v + 4. Solve -2*u - 14 = -i*u - 4*p, -p = -4*u + 10 for u. 3 Suppose 44*b - 24 = 196. Solve 5*o = 6*g - 2*g - 31, b*g + 5*o - 5 = 0 for g. 4 Let r be ((-3112)/(-1167))/(2/6). Solve 2*l + 27*u + r = 29*u, 5*u - 20 = 0 for l. 0 Suppose 0 = -25*b + 32*b - 35. Suppose f + 5*p - b + 0 = 0, 0 = 3*f - 2*p - 15. Solve 3 = -5*y - 3*u - f, 5*y - u = -4 for y. -1 Let w(c) = c + 2. Let z be w(-2). Suppose 5*d + 5 = -k, -3*k + z = 4*d - 7. Let n = -4340 - -4342. Solve -k*l - n = 2*s, 3*l = -5*s - 2*l - 5 for s. -1 Let u = -3471 - -3473. Let i(r) = 2*r - 7. Let x be i(6). Solve 4*c - u - 2 = 0, 0 = -5*y + x*c - 15 for y. -2 Let n = 6 + -2. Suppose 54*f = 19*f - 175. Let m be f*1*(0 + 2/(-5)). Solve -n*z = -2*g - m, z - 5*z = -g + 3 for z. -2 Suppose 42*k - 37*k - 3*y = 24, 4*k + 12 = -8*y. Solve -2*r = 2*z - 6 + 14, 16 = r - k*z for r. 1 Suppose 5*l - 5*r = 730, -3*r - 431 = -5*l + 293. Solve 0 = -3*n - 4*m - l + 156, 0 = 5*n + m + 1 for n. -1 Suppose -7*o = -175 - 70. Let k be 870/o + (-12)/14. Solve -2*l + 0*l - 20 = -4*b, 4*l = 4*b - k for b. 4 Let g(n) = -n**3 - 7*n - 6. Let i be g(-1). Suppose 0 = -0*y - i*y + 6. Solve -y = d - v, -6*d = -d + 3*v + 23 for d. -4 Let i be -703 + (-27)/(-36)*4. Let s = i - -704. Solve 0 = d + 2*d + 3*t + 3, -2*d + 4 = s*t for d. -4 Let f be 24*(-4 + 1 + (-99)/(-27)). Suppose 17*w - 18 = f. Solve -4 + 2 = -k - i, 0 = k + w*i + 1 for k. 5 Suppose -4*p = -4*b + 40, 3*b - 5*p = -b + 40. Let k be 5/2*(138/30 + -3). Suppose -8 - k = -4*r, -2*w - 2*r = -b. Solve 2 - 5 = x, -3 = -3*y + w*x for y. -1 Suppose -81*y = -2631 - 285. Solve 4*u - 4*k = k - y, u = -k for u. -4 Let s be (-3)/7 + -12*(-4)/14. Suppose 4*p + v = 6*v - 9, 3*v = -s*p + 27. Let r be (20/p + -4)/((-3)/(-6)). Solve 3*j + d + 4 = 0, -r*j - 3*j - 5*d = 10 for j. -1 Let v = 3632 - 3627. Solve v*z + 27 = -l, 2 = -l - l + 3*z for l. -7 Suppose -2*b + 80 = -4*a, a + 4*a - 230 = -5*b. Let k be (-40)/8*(b/20 + -3). Suppose 5*x + 7 = 32. Solve -18 = -2*y + x*c, y = k*y + 4*c - 4 for y. 4 Let l be 352/(-12)*30/4. Let o = l + 224. Let w(y) = -y**2 - y + 13. Let m be w(0). Solve u = -4*v - 10, -m = o*u + 5*v + 5 for u. -2 Let g(o) = 5*o + 15. Let a be g(-10). Suppose -5*u + 209 - 104 = 0. Let l be (a/u)/((-2)/6). Solve x - l*f - 9 = 0, 4*x + 0*f + 2*f + 8 = 0 for x. -1 Let u(c) be the third derivative of 11*c**4/24 - 3*c**3 - 9*c**2. Let b be u(2). Solve -20 = -q - 5*w, -4*q + 2*w - 10 = b*w for q. -5 Let x(n) = -n + 2. Let f be x(0). Let j be ((-32)/(-48))/(f/162). Let u = j - 52. Solve 2*g + 5 = g + u*t, -g + 4*t - 13 = 0 for g. 3 Let h(n) = -n**2 - 86*n - 754. Let q be h(-10). Solve 3*v + 2 + 8 = g, -3*g + q = 3*v for v. -2 Let v(a) = a**3 - 7*a**2 - 5*a - 9. Let c be v(8). Let u be (c - 7)*(-1)/(-2). Solve 3*y - 7 = -u*n, 5*n - 2*n + y - 9 = 0 for n. 4 Suppose -21*w - 4*i = -26*w + 41, -5*i - 45 = -5*w. Solve w*h - g = 29, 2*g = 5*h - 4*h - 13 for h. 5 Let n be (-13)/(-6) - 451/2706. Solve 0 = -15*f + n*w - 19, -14*f = -12*f + 4*w - 6 for f. -1 Let k = 5585 + -5584. Solve -3*m + k = -4*h, -5*h + 6*h = -4*m + 14 for m. 3 Let k be 2 + -2 + 5/5 - (-23 - -20). Solve -2*z = -k*d - 20, z + 8*d - 11*d - 15 = 0 for z. 0 Let v be (0/22)/28 - -4. Let f be ((-3)/(-2))/(9/12). Solve -v*r + r - f*k + 1 = 0, 6 = -4*r + k for r. -1 Suppose 0 = 138080*a - 138093*a + 52. Solve r - a*o + 14 = 0, 3*r - 8 = r - 4*o for r. -2 Suppose 541*w = 555*w - 168. Solve -u + 9*k - w*k - 3 = 0, -5*k = 5 for u. 0 Let a be (((-7)/7)/(1/2))/((-4)/4). Suppose 0*x = 3*x - s - 17, -x - 11 = 3*s. Suppose -5*g + x*g = -4. Solve 5*r = -4*d - 35, -2*r + 8 = a*r - g*d for r. -3 Let r be 1 + (-44)/22 + (0 - -5). Let h be r + ((-8)/(-4) - 1) + -3. Solve -9 = 3*w + 4*s + 4, -h*w - 2 = s for w. 1 Let d(r) = 674*r - 8080. Let k be d(12). Solve -14*x + 10*x - 4*p - k = 0, 4*x - 5*p - 46 = 0 for x. 4 Suppose -2*k - 6 = 0, -5*i - 4*k = -9 + 11. Solve -t - 8 = 4*z, t - 4*z - 6 - i = 0 for t. 0 Suppose -3*o - 3*g + 156 = 0
{ "pile_set_name": "DM Mathematics" }
ond derivative of -2*k**4 - 772*k**3 - 141*k**2 - 2055737*k. -24*k**2 - 4632*k - 282 What is the derivative of 53258*f*m**4 - 21205*f wrt m? 213032*f*m**3 What is the second derivative of -292*k**4 + k**3 + 109*k**2 - 239383*k? -3504*k**2 + 6*k + 218 Find the second derivative of -7*l**4 - 54*l**3 - 3*l**2 - 1398211*l wrt l. -84*l**2 - 324*l - 6 Differentiate -39050*r**2 - 33135 wrt r. -78100*r What is the third derivative of -3056*z**4 + 30*z**3 - 77136*z**2 wrt z? -73344*z + 180 Find the second derivative of -7*p*u**5 - 13*p*u + 26415*p - 160*u**5 + 88*u**2 wrt u. -140*p*u**3 - 3200*u**3 + 176 What is the first derivative of -181*c**3*n + 1139*c**3 - 2*c**2*n - 19*c*n - 27*n - 1384 wrt n? -181*c**3 - 2*c**2 - 19*c - 27 What is the derivative of 41931*q + 64599? 41931 Differentiate 11*q**3*y + 2*q**3 - q**2*y - 20*q*y + 65*q - 33*y + 563 with respect to y. 11*q**3 - q**2 - 20*q - 33 Find the second derivative of -18*d**2*m**2 - 12*d**2*m - 3*d**2 - 17233*m**2 - 2*m + 898 wrt m. -36*d**2 - 34466 Find the second derivative of -670175*m**2*v**3 - 2*m*v**2 - 14510*v**3 wrt m. -1340350*v**3 Find the second derivative of -2*k**5 - 112455*k**4 - 1181090*k wrt k. -40*k**3 - 1349460*k**2 Find the first derivative of -6861*n**3*x**3 - 2*n**3*x - 4*n**3 + 3*n - 2687 wrt x. -20583*n**3*x**2 - 2*n**3 Find the first derivative of 40*s**4 + 88*s**3 - 2*s + 56034 wrt s. 160*s**3 + 264*s**2 - 2 What is the derivative of 6798043*b**2*u + 333392*u + 1 wrt b? 13596086*b*u Differentiate -11*i**2*x - 29316*i**2 + 316*x wrt x. -11*i**2 + 316 Find the second derivative of 556*o*t**3 + 77*o*t + 70*o - 1547*t**5 + 109 wrt t. 3336*o*t - 30940*t**3 What is the first derivative of 150*j**3 - 322*j + 404743 wrt j? 450*j**2 - 322 What is the derivative of 530*d**2*h*z**2 - 2*d**2*z**2 - 2*d*z + 16*h*z**2 + 13*z**2 wrt h? 530*d**2*z**2 + 16*z**2 Find the first derivative of 1952*j**2*t**2 + 2*j**2*t - 2*j**2 - t**2 + 19036*t + 1 wrt j. 3904*j*t**2 + 4*j*t - 4*j What is the third derivative of -2*h*w**3 - 2*h*w**2 + 78*h*w + 369421*w**3 - w**2 + 3*w + 3 wrt w? -12*h + 2216526 Find the second derivative of -516*o**2 - o - 27737. -1032 What is the third derivative of -7000*t**3*z**3 - 95*t**3*z**2 - 2*t**3 + 3*t**2*z**2 - 2*t*z**3 - 2*z**3 wrt z? -42000*t**3 - 12*t - 12 What is the third derivative of -5*i**5 + 20*i**4 - 355*i**3 + 3*i**2 - 2*i - 10518? -300*i**2 + 480*i - 2130 What is the second derivative of -62562*w**2 - 51874*w wrt w? -125124 Find the first derivative of 4560*g**4*j + 7*g**3*j**3 + 28918*j**3 + 3 wrt g. 18240*g**3*j + 21*g**2*j**3 Find the second derivative of 7*c**5 + 150*c**4 + 11*c**3 + 52455*c wrt c. 140*c**3 + 1800*c**2 + 66*c Differentiate 147*f**3*j + 2*f**3 + 25*f**2*j + 1170*f**2 + 40*f*j + f with respect to j. 147*f**3 + 25*f**2 + 40*f What is the first derivative of -99515*h - 133108 wrt h? -99515 Find the third derivative of -15362*m**4 + m**3*s**3*w + m**2*s**2 + 2*m**2*s*w + 14*m*s**3 - 70*s*w wrt m. -368688*m + 6*s**3*w Find the third derivative of 3*p**4*q**3 - 72*p**3*q**3 - 62*p**3*q + 862*p**2*q**3 - 56*p**2 + p*q**3 wrt p. 72*p*q**3 - 432*q**3 - 372*q What is the third derivative of -195*a**4*g**2 - 9*a**4 - 42*a**3 - 9*a**2*g**2 - 7*a**2*g - g**2 + 2*g wrt a? -4680*a*g**2 - 216*a - 252 What is the second derivative of -2*j**2*m**2 + 8304*j**2 + 4653*j*m**2 + 3*m**2 wrt j? -4*m**2 + 16608 What is the second derivative of 2*j**3*k**2 + 3*j**3*k + 149*j**3 + 143568*j*k**4 - 521 wrt k? 4*j**3 + 1722816*j*k**2 Find the third derivative of 18*s**4*u - 3*s**3*u**3 - 77*s**3 - 2*s**2*u**3 - 2507*s**2 + 3*u**3 wrt s. 432*s*u - 18*u**3 - 462 What is the derivative of -2*o*x*y**3 - 559*o*x*y - 10*o*x + 53*x - 117*y**3 wrt o? -2*x*y**3 - 559*x*y - 10*x What is the second derivative of -319552*r**3 - 24*r - 33? -1917312*r What is the derivative of 692876*y + 746317? 692876 Find the third derivative of r**4 + 52490*r**3 + 444492*r**2 wrt r. 24*r + 314940 Differentiate -8*h**2*l**3*r + 1380*h**2*l**2 - 2*h**2*r - 9*l**3*r + 19*l**3 wrt r. -8*h**2*l**3 - 2*h**2 - 9*l**3 Differentiate -h*j**2*n**2 - 11*h*j**2 - 24*h*j - 673*h*n + n + 27 wrt n. -2*h*j**2*n - 673*h + 1 What is the second derivative of -2*d**5 - 157141*d**3 - 235137*d wrt d? -40*d**3 - 942846*d What is the second derivative of -1431*u**3 + 4*u**2 + 6600*u? -8586*u + 8 What is the derivative of 4801306*r + 4924097 wrt r? 4801306 Differentiate n*w**3 + 36*n*w**2 + 2*n*w + 320278*n + 786*w wrt w. 3*n*w**2 + 72*n*w + 2*n + 786 What is the derivative of 3*c*g*m*w + 73*c*g*w - c*g - 864*c*m + 254*c*w wrt m? 3*c*g*w - 864*c Differentiate 3846*a**3*h**2*x**2 + 5*a**3*h**2*x - 500*a**3*h - a**2*h**2 + 9*h**2 with respect to x. 7692*a**3*h**2*x + 5*a**3*h**2 What is the derivative of 44409*n**3 + 2*n + 62769? 133227*n**2 + 2 Find the third derivative of 2690392*o**4 - 3337201*o**2 + 2*o. 64569408*o Find the second derivative of -6*d**5*g - 277*d**5 + 2*d*g + d - 887*g wrt d. -120*d**3*g - 5540*d**3 What is the second derivative of -49*m**2*v**2 + 2*m**2 - m*v + 5*v**3 - 12*v**2 + 407*v wrt v? -98*m**2 + 30*v - 24 What is the second derivative of -3407*g**5*i**2 - 2*g**2*y**2 + 5*g*i**2*y**2 - 108*g*i**2*y - 121*g*i**2 wrt g? -68140*g**3*i**2 - 4*y**2 Differentiate 3521922*s**2 - 603921. 7043844*s What is the first derivative of -260*p**2*t**2 - 51*p**2 - 292*p - 35*t**2 - 48*t - 15 wrt t? -520*p**2*t - 70*t - 48 What is the third derivative of 112260*s**4 + 162*s**2 - 98*s wrt s? 2694240*s Find the second derivative of -65738*h**4 + 9*h**3 - 364862*h. -788856*h**2 + 54*h Find the second derivative of 254*a**4 - 7615*a**2 - 3*a + 186223 wrt a. 3048*a**2 - 15230 What is the third derivative of j*r**5*w - 23532*j*r**3*w + 3*j*r + 11*r**2*w - 125*r*w wrt r? 60*j*r**2*w - 141192*j*w What is the second derivative of -2626191*x**3 + 2152549*x wrt x? -15757146*x Find the third derivative of -244420*p**3 + 272685*p**2. -1466520 What is the second derivative of -31391*z**3 - 25*z + 1725 wrt z? -188346*z What is the first derivative of -26977*q**2 + 409562 wrt q? -53954*q Find the third derivative of -45426*q**3 + q**2 + 2*q - 638. -272556 What is the second derivative of -43076*t**5*u + t**2*u + 2*t*u + 3*t + 3097*u wrt t? -861520*t**3*u + 2*u Differentiate -109367*x**2 - 1353729. -218734*x Find the first derivative of -37587*d*p**3 + 38608*d wrt p. -112761*d*p**2 What is the third derivative of 39760*k**4 + 27*k**2 - 477? 954240*k Find the third derivative of -1401130*n**3 + 1255452*n**2 wrt n. -8406780 Find the second derivative of 16*d**2*j**2*u + 5*d**2*j*u + 262*d**2*u - 2*d**2 + 149*d*j**2*u - d*j**2 - 304*d*u wrt d. 32*j**2*u + 10*j*u + 524*u - 4 What is the second derivative of 2*x**5 - 54*x**4 - 7*x**2 + 47212*x wrt x? 40*x**3 - 648*x**2 - 14 What is the third derivative of -67283*a*x**3 - 14*a*x**2 - 2*a + x**3 + 10*x**2 + 105*x wrt x? -403698*a + 6 Find the third derivative of -2*c**5 - 10002*c**4 - 4*c**3 + 7951*c**2 + 27*c - 1. -120*c**2 - 240048*c - 24 Differentiate 79542*c*d**2 + 67923*d**2 wrt c. 79542*d**2 What is the first derivative of 1711*l*m*z**2 - 58*l*m - 26*m*z**2 - 2*m*z - 11*z**2 + 3 wrt l? 1711*m*z**2 - 58*m What is the second derivative of -5*c*s*y**2 + 29*c*s*y - 2*c*s - 2*s**2*w - 12*s**2*y**2 + 315*s*w*y**2 - 516*w wrt y? -10*c*s - 24*s**2 + 630*s*w Find the first derivative of -16664*v**3*w + 101*v**3 + v**2 + 13*v wrt w. -16664*v**3 What is the third derivative of 26068*h**3 - 73*h**2 - 218*h wrt h? 156408 Find the third derivative of -7*w**6 - 2702*w**5 - 43937*w**2. -840*w**3 - 162120*w**2 Find the third derivative of 1586388*o**3 + 5*o**2 + 1680*o + 45 wrt o. 9518328 Find the second derivative of -1931563*p**2 - 1572189*p wrt p. -3863126 What is the second derivative of -786684*q**3*r**2 + 12*q**3*r - 27*q**3 + q**2 + 27*q*r wrt r? -1573368*q**3 What is the third derivative of -2070773*p**3*t + 3*p**2 + 321453*p*t wrt p? -12424638*t Find the second derivative of 50569*a**2*m**3 + 2*a**2*m + 3*a**2 + 7*a*m**4 - 223*a - 31*m - 2 wrt m. 303414*a**2*m + 84*a*m**2 What is the third derivative of -494108*z**6 + 3*z**3 - 44614*z**2 - 2*z? -59292960*z**3 + 18 What is the third derivative of -44252*l**5 + 2*l**2 - 3549? -2655120*l**2 What is the second derivative of 48652*u**
{ "pile_set_name": "DM Mathematics" }
293 Let q(u) = -3*u**2 + 11*u + 43. Let c be q(6). What are the prime factors of (c + 42/(-30))*-1095? 2, 3, 73 Suppose -5874 = 2*i - 4*t - 25294, 5*i = 3*t + 48613. List the prime factors of i. 2, 19 Let p be 2/((2/8)/(212/32)). Suppose -5*l + 229 = -4*j - p, 0 = -4*l + j + 230. Suppose 11*n + l = 12*n. What are the prime factors of n? 2, 29 Suppose 5*b + 3*v - 2799 = 0, b + v - 2*v = 555. List the prime factors of (-20)/(-20)*5/(5/b). 2, 3, 31 Let m(i) = 6*i**2 + i - 8. Let z be m(11). Suppose 4*t - z = y, -4*y = 2*t + y - 359. What are the prime factors of (11/(-4)*-2)/(7/t)? 11, 13 List the prime factors of (-15)/120 + 39/(-8) - -7464. 7459 Let i be 75*58/(-2) - 393/131. What are the prime factors of ((i/(-27))/11)/((-6)/(-81))? 3, 11 Let a(o) be the second derivative of 5*o**3/2 + 21*o**2 - 10*o - 22. Suppose j - 3*j + 14 = 0. What are the prime factors of a(j)? 3, 7 Let k = 88941 + -60429. List the prime factors of k. 2, 3, 11 Suppose -2*r - 5*t = -4027, 3*t + 3368 = -3*r + 9404. Let b = -1172 + r. What are the prime factors of b? 839 Let p = 24619 - 11295. What are the prime factors of p? 2, 3331 Let a = 451 - 446. Let q(y) be the first derivative of y**2 + 3*y - 2. What are the prime factors of q(a)? 13 Suppose -88*r + 77*r + 9460 = 0. Let v be (-1)/(0 - 2/6). Suppose 2*a + v*a = r. What are the prime factors of a? 2, 43 Let z be 4*2/12*-3. Let u be (-1660)/(-3 + z) + 2. Suppose u = 5*p - 3*m, 5*p - 2*m - 260 = 76. What are the prime factors of p? 2, 17 Let h(g) = -1. Let w(v) = -34*v + 2. Let o(p) = -6*h(p) - w(p). Let x be o(8). Suppose -6 + x = 2*n. List the prime factors of n. 3, 5 Let l be (-6)/6 + (-5)/(-1). Let m be (l + 0)/(5*(-1)/(-10)). Suppose -m*q = -4*q - 192. What are the prime factors of q? 2, 3 Suppose u - 2*u = -5. Suppose 4 = -d - 4*h, 8 + 27 = -5*d - u*h. What are the prime factors of 11/44 - 526/d? 2, 3, 11 Let w = 3 + 2. Suppose -5 = 5*m, -2*h - 5*m + 73 = -96. Suppose 0 = 8*x - w*x - h. List the prime factors of x. 29 Suppose -1597 = -3*w - s, -267*w + 270*w - 1592 = -2*s. List the prime factors of w. 2, 3, 89 Let j(u) = 223*u**2 - 16*u - 28. List the prime factors of j(-10). 2, 701 What are the prime factors of (-95)/(-5) - 13 - -11650? 2, 31, 47 Let v(b) = 2*b + 10. Let k be (3 + -2)/(2/(-6)) + 0. Let x be v(k). Suppose 0*z = -2*z - 2*o + 22, z - x*o = -14. List the prime factors of z. 2, 3 Let o be (-6)/(-36) - ((-6549)/18 - 0). Suppose o = 4*x + 76. Let t = x + -38. What are the prime factors of t? 2, 17 Suppose -11*w - 25982068 = -88*w - 509*w. List the prime factors of w. 2, 7, 3167 Let s(g) = -394*g - 1311. List the prime factors of s(-13). 37, 103 Suppose -40625 = 8*c - 21*c. List the prime factors of c. 5 Let z(d) = d + 942. Let k be z(0). Let m = 920 + -918. Suppose 552 = 3*h - m*j, -4*j + k = -3*h + 8*h. What are the prime factors of h? 2, 3, 31 Suppose -5*f - 202 - 1498 = 5*q, 332 = -q + 3*f. Let w = q - -810. What are the prime factors of w? 2, 59 Let r = -53 - -2153. Suppose -21*k = -16*k - r. What are the prime factors of k? 2, 3, 5, 7 Suppose 129584 = 58*m - 45*m. What are the prime factors of m? 2, 7, 89 What are the prime factors of ((-8105)/(-2) - 2)/(15/120)? 2, 8101 Suppose -156000 = -73139*i + 73129*i. List the prime factors of i. 2, 3, 5, 13 List the prime factors of (-4)/(-26) + 3 + 83490/143. 587 Let f = 138 - 138. Suppose -3*m + 2*m + 208 = t, f = -2*m + 5*t + 437. What are the prime factors of m? 211 List the prime factors of (-29 - 295)/((-6)/9). 2, 3 Suppose 0 = -42*f - 42 - 0. Let j(t) = -134*t**2 + t - 5. Let s(y) = -67*y**2 - 3. Let m(l) = -4*j(l) + 7*s(l). List the prime factors of m(f). 2, 5, 7 Suppose -1180 = 2*k + 2*k + 5*a, 0 = -5*k + 4*a - 1475. Let u = k - -306. List the prime factors of u. 11 Let g(n) be the second derivative of -n**4/12 + 6*n**3 - 49*n**2/2 - 7*n + 4. What are the prime factors of g(28)? 5, 7 Suppose -3*d - 655 = f, -2*f - 2*f = 2*d + 420. List the prime factors of (-13)/((-65)/6)*d/(-4). 2, 3, 11 Let m = -20699 - -47439. What are the prime factors of m? 2, 5, 7, 191 Let w = -1614 - -2969. Suppose -w = -7*g + 269. What are the prime factors of g? 2, 29 Let z(l) = 6*l + 34. Let y be z(-5). Suppose -2*r = -m - 7 + 24, y*r = 8. List the prime factors of m. 3, 7 Let a(l) = l**3 - l**2 - 2. Let t be a(2). Suppose -t*o + 52 = 2*r, -8*o + 125 = -3*o + 4*r. Suppose j + o = 140. What are the prime factors of j? 7, 17 Suppose -2024 = 4*p + 4*p. Let n = -138 - p. Suppose 0 = o + o - 3*a - n, -4*o = 2*a - 254. List the prime factors of o. 2, 31 Let a(s) = -s**3 + 3*s**2 + 12*s - 11. Let w = 525 + -534. List the prime factors of a(w). 853 Suppose 2*o + 2*o + 628 = 0. Let k be (1/1)/((-1)/o). Suppose -k = -5*f - 2. List the prime factors of f. 31 List the prime factors of (-62)/(-124)*((-165752)/2)/((-8)/4). 20719 Let w = -24582 - -52044. What are the prime factors of w? 2, 3, 23, 199 Let b(v) = 5*v**3 + 2*v**2 - 3. Let p be (-6)/((-5 + 3)/(1 - 0)). Suppose -4*a + 27 = 3*n, 5*a - 9 = 7*a - p*n. What are the prime factors of b(a)? 2, 3, 5 Let g = -98 - -97. Let t(r) = 3*r**2 - 1. Let f be t(g). Suppose 34 + 78 = f*c. What are the prime factors of c? 2, 7 Let f(a) = -20*a - 2 + 2*a**2 - 7*a**2 + 25*a - a**3. Let m be f(-6). Suppose -2*v - m*v = -336. What are the prime factors of v? 2, 7 Let z(x) = -x**3 - 10*x**2 - 10*x - 4. Let g be z(-9). Suppose 0 = 2*w + 2*s + g - 11, s = 2*w + 3. List the prime factors of -4 - -58 - (w + 0). 2, 3 Suppose -1966*k = -1960*k - 20826. What are the prime factors of k? 3, 13, 89 Let n = 1 + 6. Let b be (4/6)/(21/63). Suppose -n*t = -b*t + 25, -5*t - 669 = -4*h. List the prime factors of h. 7, 23 Let t(x) = 1721*x**3 - 4*x**2 - 56*x + 113. What are the prime factors of t(2)? 17, 809 Suppose 45*x - 151284 = -49314. List the prime factors of x. 2, 11, 103 What are the prime factors of (-1 + (-52880)/3)*(-45 - -42) - 2? 3, 17627 Let o be ((-32)/(-20))/((-4)/(-50)). Suppose o*x - 1476 = 16*x. What are the prime factors of x? 3, 41 Let n(b) be the first derivative of -b**4/4 + 10*b**3/3 - 7*b**2 - 11*b + 13. Let s be n(8). Suppose s*i = i + 464. List the prime factors of i. 2, 29 Suppose 25*y = 2*y + 88090. Suppose 17*s - 7900 = y. List the prime factors of s. 2, 3, 5, 23 Suppose 4*g = -8, 2*i - 5*i + g = 208. Let f = 109 + i. What are the prime factors of f? 3, 13 Suppose -25*f + 38*f - 68096 = 11*f. What are the prime factors of f? 2, 7, 19 Let u(j) = -j**2 - 26*j - 83. Let c be u(-17). Suppose 2*b - 6*b = -f + 87, -5*b + 176 = 3*f. Suppose 135 = c*i - f*i. List the prime factors of i. 3, 5 Let u(s) = 160*s - 57 + 197 - 39*s. List the prime factors of u(6). 2, 433 What are the prime factors of 5*59626/(-140)*-4? 2, 4259 Suppose 3*m = -j + 322, -4*j + j + 978 = 3*m. Let b be (-1)/3 - j/6. List the prime factors of (-498)/(-10) + (-11)/b. 2, 5 Let d(k) = -112*k + 20. Let b(z) = -330*z + 61. Let m(n) = -3*b(n) + 8*d(n). List the prime factors of m(8). 3 Suppose 85*l - 36810 = 76*l. Suppose 5*j + q = -4*q + l, -818 = -j + 2*q. List the prime factors of j. 2, 409 Suppose 4*o - 28250 = -3*n, -n + 2555 + 6880 = 5*o. What are the prime factors of n? 2, 5, 941 Suppose -175*o + 180*o - 163370 = -5*j, 8 = -o. List the prime factors of j. 2, 3, 13, 419 Suppose -c - 69745 = -4*a, 121*a - 52342 = 118*a - 4*c. What are the prime factors of a? 2, 8719 Suppose 5*y + 98292 = 3*o + 7440, -o + y + 30284 = 0. What are the prime factors of o? 2, 67, 113 Suppose 3929165 = 98*j + 728975. List the prime factors of j. 3, 5, 7, 311 Let o(v) = -3*v + 59. Let g be o(18). Suppose 5*p + g*l = 50, 18 = p - 0*p + 3*l. What are the prime factors of p? 2, 3 Let w(b) = 17*b**3 - 2*b**2 + 5*b - 5. Let g be w(2). What are the prime factors of (-11 - -12)*(0 + g)? 7, 19 Suppose 0 = -5*l - 5*m + 355, -2*l - 4*m + 86 = -l. Suppose l*c + 1787 = 67*c. Suppose -c = -15*p + 1378. What are the prime factors of p? 211 Suppose 39 = 4*a - 9. Suppose -a = -i - 3*i. List the prime factors of (189/15 + i)*5. 2, 3, 13 Suppose 5*j - 8*m = 865, 2*j + 3*m - 179 - 198 = 0. List the prime factors of j. 181 Let i(o) = 7149*o**3 - 2*o**2 + 6*o - 2. What are the prime factors of i(1)? 7151 Let s = 1402 - 418. Suppose -6*b = 78 + s. Let j = b + 328. List the prime factors of j. 151 Let z(b) = 21*b**
{ "pile_set_name": "DM Mathematics" }
v = -6 + 22. What are the prime factors of v? 2 Let j = -6 + 10. Let x(o) = -13*o + 1. Let f be x(-1). Suppose -f + j = -2*l. List the prime factors of l. 5 What are the prime factors of (35/(-14))/((-1)/30)? 3, 5 Let c = 16 - 9. What are the prime factors of c? 7 Suppose 5*p - 2*m = 27, 5*p + 7*m - 21 = 3*m. Suppose w = p*w. What are the prime factors of (w + -20)*(-4)/8? 2, 5 Let r(x) be the second derivative of x**5/20 - x**4/4 - 2*x**3/3 + 3*x**2/2 - x. Let a be r(2). Let z = 15 + a. List the prime factors of z. 2, 3 List the prime factors of 2/(-9) + 656/36. 2, 3 Suppose z = 20 - 8. List the prime factors of z. 2, 3 Let a = 1 - 5. Let c = 6 + a. Suppose 1 = -4*r + c*b + 37, 3*r + 4*b - 38 = 0. List the prime factors of r. 2, 5 List the prime factors of ((-186)/30)/((-2)/10). 31 Let p(r) be the first derivative of r**4/4 - r**2 + 4*r + 4. List the prime factors of p(3). 5 Let m be ((-32)/(-1 + 0))/1. Let g = m - -2. Suppose -c + 3*r + g = 0, -c - 5*r = -3*c + 63. What are the prime factors of c? 19 Suppose 3*v = 2*b - 7*b + 320, -3*b - 5*v + 208 = 0. List the prime factors of b. 61 Suppose 4*p - 1 - 9 = -2*s, 3*p = -5*s + 11. Let c(i) = 2*i - 1. Let v be c(p). Let f = v + 0. What are the prime factors of f? 3 Suppose -2*q = -3*f - 65, -2*f + 5*q = f + 50. Let z = -9 - f. List the prime factors of z. 2 Let x(t) = -t**2 - 24*t - 23. List the prime factors of x(-20). 3, 19 Let r = -5 + 8. Suppose 0 = -3*w + x + 18, w - r = -5*x + 3. What are the prime factors of w? 2, 3 Suppose 3*i = k - 31, 4*k + 0*k = -2*i + 124. Suppose q = 5*w - k - 13, 7 = w - 2*q. List the prime factors of 2/(-3) + 42/w. 2 Let l = 118 - 78. What are the prime factors of l? 2, 5 Let w(c) = 7 + 5 + c - 3. Let k be w(-6). List the prime factors of k*(-1)/3*-10. 2, 5 Let u(x) = x**2 - 11*x. Let a be u(6). List the prime factors of 96/10 - 12/a. 2, 5 Suppose 0*j + 3*j + 11 = 5*x, 3*x = 4*j. List the prime factors of j. 3 Let l(o) = -o**3 - 3*o**2 + 5*o + 1. What are the prime factors of l(-5)? 2, 13 Let q be 0 + 2 + (-112)/(-1). Suppose 4*p - q = -6. List the prime factors of p. 3 Let s(h) = 2*h**2 + 4*h - 6. List the prime factors of s(-6). 2, 3, 7 Suppose 4 = -p - 0. Let i = 15 + p. List the prime factors of i. 11 Let p be (-2)/(-4)*(-8 - -2). List the prime factors of 1 + 48 + p + 3. 7 Let t(s) = s + 2*s - s - s. Let i be t(-4). What are the prime factors of (-57)/i + 2/(-8)? 2, 7 Suppose -3*i - 30 = -327. List the prime factors of i. 3, 11 Let n be 34/8 + 2/(-8). List the prime factors of (n + -3 - -1) + 7. 3 Suppose r - 7 = 19. Suppose w = -2*w + 12, -4*w = 2*v - r. Suppose 2*l = -v*j - 2, l + 2*j + 0 - 1 = 0. List the prime factors of l. 3 Suppose 3*y = 2 + 10, -5*t = 2*y - 18. Suppose 0 = h + 2*u - 8, t*h - 4*u - 48 = -0*h. List the prime factors of h. 2 Suppose 4*a = -2*b + 3*b, -4*a = -5*b + 16. List the prime factors of b. 2 Suppose -3*y = -0*z + 4*z + 77, 3*z - 3*y + 42 = 0. Let l = z + 26. What are the prime factors of l? 3 Suppose 3*k - 5*w + 0*w - 83 = 0, 5*k - 121 = 4*w. List the prime factors of k. 3, 7 Suppose 5*k + 3 = 2*f, 2*f + 3*k = -3*f + 23. Suppose f*j - j = 72. List the prime factors of j. 2, 3 List the prime factors of 5 + (-3)/3 + 213. 7, 31 Let d(j) = -j**3 - 6*j**2 + 7*j + 3. Let k(s) = s + 3. Let u be k(-4). Let i be ((-2)/(-2))/u*7. List the prime factors of d(i). 3 Suppose 5*d - 375 = -2*s, -5*s + 40 = -2*d + 161. What are the prime factors of d? 73 List the prime factors of (214/6)/(-7 - 344/(-48)). 2, 107 Let x(h) = -h**3 - 7*h**2 - 8*h - 5. Let b be x(-6). Suppose 0 = 2*v + m - 16, b*v = 4*v - 2*m + 24. List the prime factors of v. 2 Let w(b) = 2*b - 2. Suppose 0*s - 24 = -4*s. What are the prime factors of w(s)? 2, 5 Let m(j) = -2*j**2 - 5 - j**3 + 0*j**2 + 2*j - 4*j + 6*j. What are the prime factors of m(-4)? 11 Let r = -6 - -15. Let n be (24/9)/(6/r). Suppose -4*i - n*u = -16, 2*i - 3*u - 15 = 2*u. List the prime factors of i. 5 Let j(y) = y**2 + 6*y + 8. List the prime factors of j(-9). 5, 7 Suppose 8 = l + l, -o - l + 133 = 0. List the prime factors of o. 3, 43 Let u(x) = 4*x**2 - x. Let z be u(-1). Let i = 7 - z. Suppose g - i*g + 4 = 0. List the prime factors of g. 2 Let m be ((-16)/(-20))/((-2)/10). Let q be (m - -3) + 1 + 4. Suppose 0*l - q = -l. List the prime factors of l. 2 List the prime factors of (21/(-14))/(3/(-88)). 2, 11 Let v be -184*-2*(-1)/(-4). Let c = v + -59. List the prime factors of c. 3, 11 Let y(t) be the first derivative of t**3/3 - 9*t**2/2 - 5*t + 2. Let q be 2/4 - 63/(-6). What are the prime factors of y(q)? 17 Suppose 0 = -12*g + 17*g - 420. What are the prime factors of g? 2, 3, 7 Let x = 285 - 182. What are the prime factors of x? 103 Let w be (2 - -1) + 4/4. List the prime factors of 370/22 + w/22. 17 Suppose -4*w - 30 = w. Let u = -2 - w. Suppose -3*i = -u*i + 2. List the prime factors of i. 2 Let d(v) = -v**2 - 2*v - 6. Let t be d(0). List the prime factors of 13 - 6/(-9)*t. 3 Let z be (-4 - -6) + 1/1. Suppose -3*r + z*a + 54 = 0, 5*r + 4*a - 62 = 2*a. What are the prime factors of r? 2, 7 Let z = -3 - -33. What are the prime factors of z? 2, 3, 5 Let y = -302 - -592. What are the prime factors of y? 2, 5, 29 Suppose 6*n - 1675 = 137. What are the prime factors of n? 2, 151 Let q = 12 + 22. What are the prime factors of q? 2, 17 Suppose 2*c - 1056 = -6*c. List the prime factors of c. 2, 3, 11 Suppose q = 2*q + 3*c - 12, -q + 2*c = 8. Suppose k + 3*k - 16 = q. List the prime factors of k. 2 Let o = 6 - 4. Suppose 100 = 5*u + c, 0 = -2*u + o*c - 3*c + 43. What are the prime factors of u? 19 Let o be 3 + -6 - -30*2. Let x = o - 35. List the prime factors of x. 2, 11 What are the prime factors of 10/95 + (-1592)/(-38)? 2, 3, 7 Let w be -1 - -54 - (7 + -4). Suppose 3*g - 43 = w. What are the prime factors of g? 31 Suppose -3*j + 41 = j + i, -3*j - i = -31. List the prime factors of 294/j + 2/(-5). 29 Let f(k) = 5*k**3 - k**2. Let x = 1 - 0. Let a be f(x). Suppose 56 = h + a*h - 3*p, -2*h + p = -22. What are the prime factors of h? 2, 5 Let w(m) = -m. Let p(k) = -3*k - 1. Let c(l) = -p(l) + 2*w(l). Let t = 3 - 0. List the prime factors of c(t). 2 Let l(g) = g**3 + 3*g**2 - 3*g - 2. Let c be l(-4). What are the prime factors of c/(-10) - 64/(-10)? 7 List the prime factors of (-2)/3 - (-41)/3. 13 Let r be -2 + -2*(-3)/6. Let d be 1 + r + 1 + -10. What are the prime factors of (-88)/d - (-4)/18? 2, 5 Suppose 0 = 5*z + 16 + 14. Let x(o) = o**2 + 5*o - 5. Let a be x(z). List the prime factors of -2*a/(-2)*7. 7 Suppose -10 = 3*a + 2, -2*r - a = 20. Let f = r - -20. List the prime factors of f. 2, 3 Suppose 5*t = -4*l + 46, -4*t + 55 = 5*l + t. List the prime factors of l. 3 Suppose b + 3*y = 7*y + 9, y - 4 = -b. Suppose 4*v + 16 = -2*z + 3*z, 0 = -b*v - 20. Suppose z = -4*t + t + 9. List the prime factors of t. 3 Let r(j) = 2*j**2 - 5*j - 6. List the prime factors of r(-5). 3, 23 Let q(w) = w + 7. Let s be q(-3). Suppose -s*b = b - 175. List the prime factors of b. 5, 7 Let z = 28 + 9. Let a be ((-3)/9)/(2/(-12)). What are the prime factors of z/4 + a/(-8)? 3 Suppose 45 = 3*b - 24. What are the prime factors of b? 23 Let a = -40 + 56. What are the prime factors of 4/a + (-110)/(-8)? 2, 7 Let p(r) = r**3 - r. Let i(v) = -3*v**3 + 3*v + v**3 + v + v**3 - 3*v**2. Let d(a) = i(a) + 2*p(a). List the prime factors of d(3). 2, 3 Let j(l) = 3*l**3 - 8*l**2 + 6*l - 8. What are the prime factors of j(5)? 197 Suppose 3*n - 1 - 5 = 0. Let l be n*(-3)/(-6) - -2. Suppose -l*c + 3 = -18. List the prime factors of c. 7 Let q be 3092/28 + (-6)/14. Suppose 40 + 11 = y + 5*m, 5*y - q = 4*m. List the prime factors of y. 2, 13 Suppose 0 = -2*n + 5*b + 14, -3*n - 2*b + 4*b = -43. List the prime factors of n. 17 Let m = -18 + 20. Suppose 5*q - 61 = 14. Let x = q + m. What are the prime factors of x? 17 Let z(t) = -t - 6. List the prime factors of z(-21). 3, 5 Suppose -4*i - 5 = r, -3*i - 7 - 60 = -5*r. What are the prime factors of r? 11 Let o = 10 - -15. List the prime factors of o. 5 Let l = 19 - 11. What are the prime factors of l? 2 Suppose -175*i = -176*i + 95. What are the prime factors of i? 5, 19 Suppose -2*y = 5*l - 306, y + 4*l = 2*y - 127. List the prime factors of y. 11, 13 Suppose 5*z = -v - v + 10, -2 = -z - 4*v. Suppo
{ "pile_set_name": "DM Mathematics" }
ue Suppose q + 2*d + 1 = 0, 5*q + 3*d + 1 - 10 = 0. Suppose -q*t + 852 = 291. Is t a prime number? False Let q be (-2 - -4)/(4/(-14)). Let u(y) = 2*y**2 - 9*y + 2. Is u(q) prime? True Let a = 38 - -4. Let u = 91 - a. Is u prime? False Let a(r) = -3*r - 3*r - 8 + 20. Let q be a(9). Let v = -23 - q. Is v prime? True Suppose 0 = -2*d + 822 - 20. Let n = -286 + d. Is n a composite number? True Suppose -3 - 5 = 4*g. Is (-46)/6*(g - 7) a prime number? False Let y be ((-2)/(-4))/(3/(-72)). Let s = -7 - y. Suppose -22 = -2*l + n + 47, s*l - 162 = -n. Is l prime? False Suppose -y - 5*t - 2 = 26, 3*t = 5*y. Let m be y/2*4/(-3). Suppose 0 = m*l + l - 105. Is l a composite number? True Let q = -10 + 1. Let x be (6/4)/(q/(-12)). Suppose 5*y - 24 = j + 21, x*j = -4*y + 36. Is y composite? True Let s(n) = n**2 - 3*n. Let q be s(3). Suppose -v - 2 + 5 = q, -g - 2*v + 83 = 0. Is g a prime number? False Let f be (6/(-3) - -10)/2. Let v = 6 - f. Suppose 4*t - j - 87 = 0, j - 6*j = -v*t + 57. Is t prime? False Let v = -2 + 1. Suppose -3*q + 1 - 10 = 0. Is (q/(-6))/(v/(-76)) prime? False Suppose 3*f + j - 10 = 0, 0*j = -5*f - 3*j + 18. Suppose b - f*b + 2 = 0. Is 115 + (1 - b) - 0 a prime number? False Suppose -5*n + 135 = -0*n. Let g be 3*(-48)/n*-3. Let i = g - -6. Is i a prime number? False Let h(l) = 8*l - 3. Is h(7) a prime number? True Is 5523/4 + 2/8 prime? True Let p(o) = -2*o**3 + 6*o**2 - 1. Let y be p(-5). Suppose -y + 144 = -5*s. Is s a prime number? False Let v = -3 + 3. Suppose 1 = y + 5*b, -y + 3*b + 9 = -v*b. Is 50/8*(y - 2) a prime number? False Is (220/(-8))/(-5)*4 composite? True Suppose -4*t + 16 = -0. Suppose 3*p - 164 = -5*b, 2*b = t*p + p - 232. Suppose -5*o = 5*s - s - p, 2*o = 4*s - 20. Is s a composite number? False Let x(o) = o**3 - 5*o**2 + 2. Let u be x(5). Suppose 2*p - 161 = -4*g + 245, 0 = u*p + 5*g - 402. Is p a composite number? False Suppose 2*w + 3*w + 2*p = 21, -3*w = 3*p - 18. Is w/(-5) - (-718)/5 composite? True Let u(r) = 79*r + 3. Is u(2) a prime number? False Let g be (-1*2 + 3)/(-1). Let o be ((1 + -1)/g)/(-2). Suppose m + 3*w = 70, -2*m + 90 = -4*w - o. Is m a prime number? False Let o be ((-2)/(-5))/((-2)/10). Let n be (-48)/(-21) + (-4)/14. Is -1 + o + 17*n a composite number? False Suppose 5*n - 291 = -4*m, 5*m + 4*n - 390 = 3*n. Is m composite? False Let x = 20 - 16. Is (28/(-42))/(x/(-546)) a composite number? True Let x = -4 + 3. Suppose 2*z - 3*u - 10 = 0, 4*z + 5*u = -z. Is 1 + x + 77 + z prime? True Let k = 49 + -34. Suppose 5*u - k = 160. Is u a prime number? False Suppose 2*a - 4*b = 12306, 2*a - 3*b = 7175 + 5127. Is a a composite number? True Suppose 0 = 3*r - 6*r + 6. Suppose 45 = 5*d - 4*m, -4 - 6 = r*m. Suppose 5*f - 270 = -5*g, -g - d*f = -6*g + 240. Is g a composite number? True Let p = 554 + 166. Suppose 0 = 5*n - 165 - p. Is n a composite number? True Suppose -4 = -2*q - 0, 4*k - 732 = 2*q. Suppose -2*o = 4*b - k, o = 3*b - 0*b - 138. Is b a composite number? True Suppose s = 4*l + 14, 3*l = 3*s + s - 17. Let o be (-9)/27 + (-7)/l. Is (1/(-4))/(o/(-568)) a composite number? False Let r(u) = -2*u**2 + 2*u - 9. Let h be r(6). Suppose -4*z = -215 - 273. Let c = z + h. Is c prime? True Let b be (-7)/(-2) + 6/(-12). Let c(s) = 3*s**2 - 3*s + 3. Let p be c(5). Suppose q - p = b*k + 55, -12 = -4*k. Is q a prime number? True Let q = 16 - 10. Let t = q + 19. Is t prime? False Let s be 2/3 - (-66)/9. Let x = s + -8. Let q = x - -13. Is q a prime number? True Let g(u) = u - 4. Let x be g(6). Suppose 5*f + 4*h - 305 = x*f, f - 106 = 3*h. Is f composite? False Let d(n) = -n**3 + 5*n**2 + 6*n. Let g be d(6). Let y = g + 12. Suppose 0*x = 2*x - y. Is x a prime number? False Is 124/((-8)/(-2)) + 0 composite? False Suppose -42*y = -43*y + 267. Is y prime? False Let q = -63 - -100. Is q composite? False Let y be -2 - (0 + -1 + -1). Is (-3 + -4)*(-41 + y) prime? False Let u = 9 + -7. Let m(j) = 4*j**3 + j**2 - j + 1. Is m(u) a composite number? True Suppose -5*o + 31 = -4. Let w(f) = -f**3 + 7*f**2 + f - 4. Let r be w(o). Suppose q - 3 = r. Is q a composite number? True Let v(d) = -1 - 5*d**2 + 1 + 2 + d**3 - 2*d - 6. Let o be v(5). Is (1 + 2 + o)*-5 a prime number? False Let h(t) = t**3 - 9*t**2 + 7*t + 8. Let y be h(8). Suppose -11 = -r - 2*i + 1, y = r - 5*i - 5. Is r composite? True Let p be (-2)/1 + 0 + 14. Suppose -4*s = -i - 4*i + 358, p = 4*s. Is i a composite number? True Suppose -6*d + 4 = -2*d. Let z = 8 + d. Is 2*z/6 - -11 composite? True Suppose 885 = a + 4*a. Is a prime? False Let u(j) = -30*j**3 - j**2 - 12*j + 2. Is u(-3) a composite number? False Suppose j = k + 1079, 5*j = 2*k - 1047 + 6442. Is j a composite number? True Suppose -3*y - 21 = -6*r + 3*r, -3*r = 4*y + 14. Is r - 3 - (8 + -102) composite? True Let n(c) = c**2 - 7*c - 13. Let w be n(9). Suppose -w*y = -2*y - 237. Is y a prime number? True Let d(i) be the third derivative of i**4/24 - 3*i**2. Let o be d(-2). Let j = 9 + o. Is j prime? True Let c(n) = 20*n**2 + 4*n - 3. Suppose -q = -3*q - 14. Let t = -5 - q. Is c(t) prime? False Let d = -121 + 172. Is d composite? True Let l(o) = -2*o**3 - 5*o**2 - 2*o - 1. Is l(-3) prime? False Suppose 2 + 4 = 3*i. Suppose p = i*p - 89. Is p a prime number? True Let g(d) = 2*d**3 - 2*d**2 - 4*d - 3. Let k be g(4). Suppose k = r - 25. Let j = r + -37. Is j a composite number? True Let y be (21/4)/(6/16). Let f = y - 8. Suppose k = 8 + f. Is k prime? False Let t = -6 + 10. Let b(d) = 3*d**2 + 13*d + 4. Let m be b(-4). Suppose c + 3*j = 313, -t + m = -j. Is c composite? True Let p(x) = 63*x - 4. Is p(7) composite? True Suppose -134 = -4*b + 2*b. Is b a composite number? False Let i(z) = -15*z**2 + z + 1. Let h be i(-1). Let y be (0 - 0) + (-6 - h). Let r = 132 + y. Is r prime? False Suppose 25 = 3*g - 2*g + 2*a, -2*g + 44 = 2*a. Let u = g + 24. Is u a prime number? True Let m(y) = -y**3 + 8*y**2 - 4*y - 7. Let s(w) = w**3 - 9*w**2 + 9*w - 1. Let c be s(8). Is m(c) prime? False Suppose -x - 2*x + 2103 = 0. Is x prime? True Suppose 3*a + 2*a = 25. Is (-956)/(-5) + (-1)/a a prime number? True Suppose -2*x = -3*y + 2*x + 1563, 5*y + x - 2582 = 0. Is y a prime number? False Suppose 143 = 33*f - 32*f. Is f prime? False Let h(v) = -4*v**3 + 8*v**2 - v - 3. Let d be h(6). Let p = -264 - d. Is p prime? False Let p = -9 - -258. Is p a prime number? False Suppose 0*q - 5*d = -3*q - 25, d = -5*q + 5. Let i be (q - (-2 - 0))*31. Suppose -v = v - i. Is v a prime number? True Suppose 0 = b - 2*c - 457, 5*b - 2*c - 1858 = b. Is b a prime number? True Is (-2 + 1)/((3/1)/(-2721)) a prime number? True Let n(i) = -34*i - 29. Is n(-12) prime? True Let t = 366 - 1821. Is t/(-10) + 2/(-4) composite? True Let d(g) = -g**3 + 4*g**2 + 8*g + 3. Let j be d(6). Is (-2)/7 + (-4437)/j a composite number? False Let s(f) = 3*f**2 + f**2 - 4*f - 1 + 2 + 1. Let b be s(-5). Let t = b + -83. Is t a prime number? False Suppose -3*j = 12 - 3. Let r = j + 8. Suppose -61 = -r*h + 4*t, -h + t + 40 = 3*h. Is h a composite number? True Let s = -25 + 216. Is s prime? True Let l(u) = -8*u - 3. Let c(k) = -8*k - 4. Let t(h) = -4*c(h) + 5*l(h). Is t(-1) composite? True Let r = 2201 - 106. Is r composite? True Suppose -65 = -4*f + 83. Suppose 6 = -0*c + 3*c, f = -3*b - 4*c. Is 3/(-5)*1*b prime? False Suppose -1116 = -2*j + 5*b, -85 = 4*j - b - 2299. Is j prime? False Suppose 4*i = -0*i + 60. Is 38/(1 - i/21) a composite number? True Suppose -3*d = -127 - 71. Let z be 8/(1/2*2). Suppose d = n + z. Is n prime? False Suppose -r = -3*h - 67 + 3, -5*h = -2*r + 133. Is r prime? True Suppose 2*x + 6 = 0, 2*w - 960 = 6*w + 4*x. Is w/(-4)*(-32)/(-12) prime? False Is 3 - 25*(-5 + 1) a prime number? True Let f = -13 - -22. Let v be (-2)/f + 4310/(-45). Is v/(-4) - (1 - 0) a prime number? True Suppose 4*d + 6 = -o - d, 3*o = d + 14. Suppose 3*f - 2*f + r = 6, o*f - 4*r = -8. Suppose 5*q + 0*m = 4*m + 103, -f*q - m + 49 = 0. Is q a composite number? False Let l(i) = 6*i**2 + 22*i**2 + 7*i + 3 - 4 + 2. Is l(3) composite? True Let z = 27 - -62. Is z composite? False Let g = -44 - -391. Is g composite? False Let a(l) = -7*l**3 - 3*l**2 + 3*l + 7. Is a(-4) a composite number? True Let o(f) = -f + 9. Let n be o(0). Let x(r) = r - 5. Let l be x(n). Is (-2)/(((-12)/21)/l)
{ "pile_set_name": "DM Mathematics" }
9 + -3 - 60/32? 24 Let q(t) = t**3 + 11*t**2 + 8*t - 10. Let h be 8/44 + 846/66. Let p(z) = 3*z - 32. What is the lowest common multiple of q(-10) and p(h)? 70 Let r(a) = 3*a**3 + 57*a**2 - 3*a + 183. Calculate the smallest common multiple of 351 and r(-18). 10881 Let u(o) = 26*o**2 + 102*o - 2. Let b be u(-4). Suppose b*l = 4*l + 4*k + 8, 5*l - 20 = -2*k. Calculate the least common multiple of l and (1 + -2)/(1/(-22)). 44 Let b(n) = -n**3 + 8*n**2 + 23*n - 15. Let d be b(20). Let g = d + 34883/8. Calculate the common denominator of g and -37/54. 216 Let s = 195670 + -59875079/306. Find the common denominator of -7/8 and s. 1224 Let p = -3343 + 3345. What is the least common multiple of p and 265? 530 Suppose 12*q - 216 = -12*q. Let t = 21 + q. What is the lowest common multiple of 12 and t? 60 Let q be 1*(-1608995)/150 + (-3)/2. Let k = -10733 - q. Let p = -1830 - -16489/9. Find the common denominator of k and p. 45 Let k = -166/203 + 113521/149002. What is the common denominator of -43/367 and k? 734 Let u be (-6)/2 + 1 + (-20556)/(-126). Let n = u + -4267/28. Let r = 1/211 - 14985/844. Find the common denominator of n and r. 4 Let w = -868 + 335. Let a = 673 + w. Calculate the smallest common multiple of a and 4. 140 Let q = 9941 - 8549. What is the lowest common multiple of q and 522? 4176 Suppose 0*k - 5*k - 5*n + 660 = 0, 3*k + 5*n = 402. Calculate the common denominator of (65/(-26))/(-1 + k/15) and -81/16. 304 Find the common denominator of ((-25)/40)/(66/(-8)) and (-12)/(-14)*539/(-308)*152/27. 198 Let c = 85 - 61. Let s be 58/3*((-13)/2 - -2). Let t = -60 - s. Calculate the smallest common multiple of t and c. 216 Calculate the common denominator of 3*(-17)/190 + (27/(-45) - -1) and (1/(-44))/((-2)/(-92)). 418 Suppose 7*n - 2*n = 3*h - 156, 4*h + 5*n - 208 = 0. Suppose -j - 2*o = -19, -47*o + 63 = 4*j - h*o. What is the lowest common multiple of j and 3? 51 Let j = -147373/212898 + 289/411. Calculate the common denominator of -31/518 and j. 1554 Suppose 4*s = 3*l - 4*l + 17, -5*s - 3*l = -30. Let r(w) = -2*w**2 - 15*w. Let q be -3*(-5)/(75/(-35)). Calculate the least common multiple of r(q) and s. 21 Suppose -36 = -4*i - 5*i - 486. Calculate the common denominator of i and -62/1587. 1587 Let i(u) = u**3 + 40*u**2 + 40. Suppose -2*z + 3*z = 2. Suppose 21 + 31 = 3*w - 4*r, 106 = 4*w + z*r. What is the lowest common multiple of i(-40) and w? 120 Let m = 8212871/1635 + -100247/20. Let q = m - -9/436. Calculate the common denominator of q and -29/14. 42 Suppose -5*r + 3*x - 2085 = 0, 7*x = -2*r + 10*x - 825. What is the common denominator of -3/5 and 28/168 + 169/r? 140 Suppose q - 78 = 5*h - 198, -q + 48 = 2*h. Let u = -443 + 170. Let c = 278 + u. What is the smallest common multiple of h and c? 120 Let r = -62 - -77. Suppose 0 = -10*d + r*d - 70. Suppose 42 = 3*p - 0*p. What is the smallest common multiple of p and d? 14 Let q = 135 + -117. Let u(b) = -9*b - 6. Calculate the least common multiple of q and u(-6). 144 Calculate the common denominator of ((-4617)/10260)/(1/18) and 89/2210. 2210 Suppose 0 = 5*y + 5*f + 50, -4*y - 16 = f - 3*f. Calculate the common denominator of (5/(300/(-152)))/(y/10) and 0 + 1 + 176/(-28). 63 Let w be (-1 - (-266)/(-6))*399/266. Find the common denominator of 29/21 and 5*1/(-135)*(w + 1). 189 Let w be ((-27)/(-12)*34)/((-9)/18). Let f = 2301 + w. Calculate the smallest common multiple of f and 14. 15036 Suppose -3*d = -12, 5*m - d - 96 - 10 = 0. Let p be -3*1/(9/12). Calculate the smallest common multiple of m and (p/(-5))/(8/20). 22 Calculate the common denominator of (-60)/(-14720)*436/(-15) and -29/4. 920 Let c = 37/6468 - 14027/19404. What is the common denominator of c and (1 - (-103)/(-18)) + -1? 198 Let p(j) = 2 + 599*j + 210*j + 1. Let u be p(-11). Let s = -169070/19 - u. Find the common denominator of s and 65/9. 171 Let z = 4824913/77 + -1429825/21. Let f = 5427 + z. Calculate the common denominator of f and -7/30. 330 Let s be 4/10*(-32 - -7). Let x be ((-8)/s)/(3/(-15)). What is the lowest common multiple of 24 and 4/x + 11 + -3? 168 Let f = -6349/6 + 1054. Let q = f - -152/3. Calculate the common denominator of q and (-6)/21 + (-300)/616. 22 Let z = 350962 - 301125287/858. Find the common denominator of z and -15/286. 858 Let n(a) = -18*a + 107. Let h(p) = -8*p + 54. Let j(o) = 5*h(o) - 2*n(o). What is the least common multiple of 5 and j(5)? 180 Suppose -27*h = 24*h - 39*h - 480. What is the smallest common multiple of h and 1728? 8640 Let v = -110 - -110. Calculate the common denominator of 45/4 and 5 + (-245)/39 + v. 156 Let j = 268 + -258. Calculate the lowest common multiple of ((120/(-10))/6)/(3/(-24)) and j. 80 Calculate the common denominator of 29/168 and (30/27 + 0 - 1) + (-7645)/(-70056). 168 Let f = 662 + -329. Calculate the common denominator of ((-1)/(-6))/((-10)/f) and (-25248)/(-2304) + (7/(-147) - 2/7). 40 Let t(d) = 10*d + 3. Let k be t(1). Suppose -k = -3*f - 1. What is the common denominator of (-6)/f*1328/240 and 17/14? 70 Suppose -112 = -4*u + 4*r, 300 = -2*u - 3*r + 376. Calculate the smallest common multiple of u and 1412. 11296 Let c = -17738 - -35445/2. Find the common denominator of -80/4683 and c. 9366 Let p = 1551045609842 + -933977624423650519/602160. Let m = -1/25090 - p. What is the common denominator of -50/21 and m? 336 Let a(m) = 2*m**3 - 18*m**2 + m + 13. Let g be a(9). Let s = g - 30. What is the least common multiple of 8 and s/10 - 531/(-45)? 88 Let s = 3889 - 964. What is the least common multiple of s and 3250? 29250 Let f = -323/469 - 174/67. Calculate the common denominator of f and 55/664. 4648 Find the common denominator of 47/5712 and (-80)/88 + 89955/91630. 39984 Let g(t) = 3*t**2 - 16*t - 85*t**3 - 11 + 86*t**3 + 2*t**2. What is the lowest common multiple of g(-7) and 21? 21 Let x = 44208 + -19231. Let l = -1248767/50 + x. What is the common denominator of l and 29/50? 50 Let h = 1 + -7. What is the common denominator of ((-4)/108)/((-1148)/(-115) - 10) and (74/h)/(50/15)? 270 Suppose 0 = -61*h - 1082 + 12184. Calculate the smallest common multiple of 2 and h. 182 Suppose -376*t + 1360 = 4*f - 371*t, -2*t = 0. What is the lowest common multiple of f and 765? 3060 Let a be (-1 + (-1)/2)*77044/(-154). Let d = a - 26206/35. Calculate the common denominator of 53/35 and d. 35 Let g = 19 - -8. Let f be (-1 - -1)/2 + 685 + -22. Let j = 711 - f. What is the smallest common multiple of j and g? 432 Let n = -41335 - -743761/18. Let h = n + 88/9. Calculate the common denominator of 75/22 and h. 66 Suppose -41*c + 49*c + 296 = 0. Let d = 49 + c. What is the least common multiple of d and 21? 84 Let h(r) = -r + 2. Let j(s) = -s**3 + 3*s**2 - 11*s + 1. Let g be j(6). Let a = -165 - g. Calculate the smallest common multiple of a and h(-6). 8 Let r = 1113 + -497. Suppose -5*w - 556 + r = 0. What is the lowest common multiple of 60 and w? 60 Suppose 141 = -3*l + 75. Find the common denominator of 3/(-237)*(-10)/4 and (l/(-16) - 1)*781/(-66). 1264 Let n be 4815/214*(-20)/(-6). Calculate the common denominator of n/(-20)*624/(-280) and 1/9*(-111)/2. 42 Let s(l) = -211*l - 194. Let d be s(-4). Let u = 764 - d. Calculate the least common multiple of 33 and u. 1254 Let d be (40354/(-24))/((-4)/(-8)). Let k = -3380 - d. Find the common denominator of k and -101/802. 2406 Calculate the common denominator of (2/8)/((-5)/10)*(-7313)/(-53663) and 1/46. 23966 Let i = -17651 + 24498. What is the lowest common multiple of 2 and i? 13694 Let d(s) = -s**3 + 2*s**2 - 3*s + 9. Let y be d(2). Suppose y*l = 31 + 14. What is the lowest common multiple of l and 39? 195 Let r = -351 - -358. Calculate the smallest common multiple of r and 293. 2051 Let r = -72 + 76. Let f(o) = -4*o - 75. Let v be f(-20). Suppose -5*g + 2*m + 116 = 0, 5*m - 5 = v. What is the lowest common multiple of r and g? 24 Let w = -51579 - -77527. Let s = w - 2283377/88. What is the common denominator of 67/24 and s? 264 Suppose 7*r + s + 4*s = 14, 5*r + 2*s - 21 = 0. Suppose -3*t - 42 = -3*w, 0 = 4*w - 3*t - 30 - 21. What is the lowest common multiple of w and r? 63 Suppose 360 + 4074 = 155*r - 1766. Suppose 5*w - 4*w = 145. What is the lowest common multiple of w and r? 1160 Let r = 45 + -45. Suppose r =
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 46648 and 3773? 343 Calculate the highest common factor of 11 and 469799. 11 What is the highest common factor of 268618 and 98? 98 Calculate the greatest common factor of 21 and 44730. 21 What is the greatest common divisor of 2583 and 20377? 287 What is the highest common factor of 4180 and 520? 20 Calculate the greatest common divisor of 75547 and 31. 31 What is the greatest common divisor of 27 and 2458512? 27 Calculate the highest common divisor of 67 and 5427. 67 What is the highest common factor of 200 and 5300? 100 What is the greatest common factor of 24 and 65292? 12 What is the highest common factor of 4176 and 2842? 58 What is the highest common factor of 64 and 4512? 32 Calculate the highest common divisor of 6 and 17297958. 6 What is the greatest common divisor of 649250 and 7? 7 What is the highest common factor of 4292 and 481777? 1073 Calculate the highest common divisor of 9200 and 7049500. 2300 What is the greatest common factor of 582 and 458034? 582 Calculate the greatest common factor of 164 and 3538382. 82 Calculate the highest common factor of 777 and 98763. 21 What is the greatest common factor of 35 and 285710? 5 Calculate the greatest common divisor of 104 and 35216. 8 Calculate the highest common factor of 1091366 and 34. 34 Calculate the greatest common divisor of 1213274 and 1858. 1858 What is the greatest common divisor of 95912 and 40? 8 What is the highest common factor of 129584 and 9360? 208 What is the highest common divisor of 8010 and 95230? 890 Calculate the highest common divisor of 57306 and 42. 6 What is the highest common factor of 7904 and 4693? 247 Calculate the greatest common factor of 7965372 and 376. 188 Calculate the highest common factor of 196 and 658. 14 What is the greatest common factor of 91 and 1505543? 13 Calculate the greatest common factor of 14610 and 114. 6 Calculate the greatest common divisor of 918 and 122859. 153 What is the greatest common divisor of 347085 and 285? 15 What is the highest common divisor of 441 and 69489? 63 What is the highest common factor of 109011 and 10759? 203 What is the greatest common divisor of 1404 and 97500? 156 What is the highest common factor of 297362 and 182? 26 What is the greatest common divisor of 7480 and 12980? 220 What is the greatest common factor of 17 and 2839? 17 What is the greatest common factor of 200 and 556550? 50 What is the greatest common factor of 124326 and 18? 18 Calculate the greatest common factor of 399 and 21318. 57 Calculate the greatest common factor of 4199941 and 359. 359 What is the highest common factor of 1110 and 169230? 30 Calculate the highest common factor of 346 and 519. 173 What is the highest common divisor of 117 and 43836? 39 What is the greatest common factor of 944455 and 35? 5 What is the greatest common divisor of 31092 and 300? 12 Calculate the highest common factor of 147 and 218099. 49 What is the greatest common divisor of 617 and 1233383? 617 What is the highest common divisor of 95 and 69008? 19 Calculate the highest common divisor of 33670 and 5138. 14 What is the greatest common divisor of 432014 and 56210? 1606 Calculate the greatest common divisor of 69342 and 13. 13 Calculate the greatest common divisor of 1091764 and 184. 92 Calculate the greatest common divisor of 1090896 and 108. 12 Calculate the highest common divisor of 190099 and 104. 13 What is the greatest common divisor of 75417 and 207? 69 Calculate the highest common divisor of 432 and 5880. 24 Calculate the highest common divisor of 5719 and 6503. 7 Calculate the highest common divisor of 61419 and 708. 177 Calculate the highest common divisor of 26398 and 78406. 394 Calculate the highest common divisor of 121043 and 767. 13 Calculate the highest common divisor of 65536 and 192. 64 Calculate the highest common factor of 18 and 131462. 2 What is the greatest common divisor of 1026 and 1080? 54 What is the highest common factor of 269 and 465908? 269 What is the greatest common factor of 144048 and 62? 2 Calculate the greatest common divisor of 852 and 1228. 4 Calculate the greatest common divisor of 35841 and 117. 39 Calculate the greatest common divisor of 2563 and 1243. 11 Calculate the greatest common divisor of 11487659 and 461. 461 Calculate the highest common factor of 609875 and 40375. 2125 Calculate the greatest common divisor of 78 and 143000. 26 Calculate the highest common factor of 1742 and 7449. 13 Calculate the greatest common factor of 504 and 12866. 14 What is the greatest common divisor of 391 and 7463? 17 Calculate the highest common factor of 576 and 7569. 9 Calculate the highest common divisor of 66546 and 3. 3 What is the greatest common factor of 1886 and 7872? 82 What is the greatest common divisor of 103400 and 55? 55 What is the highest common divisor of 1115445 and 30? 15 What is the highest common divisor of 5285 and 210? 35 Calculate the highest common factor of 35720 and 32490. 190 Calculate the highest common divisor of 952721 and 77. 77 What is the highest common factor of 415 and 35773? 83 Calculate the greatest common divisor of 118190 and 530. 530 Calculate the highest common factor of 21384 and 22077. 99 Calculate the greatest common divisor of 4344 and 1048. 8 Calculate the greatest common divisor of 1007 and 1961. 53 What is the greatest common divisor of 2043 and 39952? 227 Calculate the greatest common factor of 71766 and 8860. 886 Calculate the greatest common divisor of 49 and 3639524. 49 Calculate the highest common factor of 575 and 1217873. 23 Calculate the greatest common divisor of 9103402 and 154. 154 Calculate the greatest common divisor of 260 and 5080. 20 What is the highest common factor of 878 and 1028138? 878 Calculate the highest common divisor of 92 and 1636. 4 Calculate the greatest common divisor of 72065 and 1715. 35 What is the highest common divisor of 84933 and 171? 9 Calculate the highest common factor of 8 and 1042. 2 What is the greatest common divisor of 4932 and 972? 36 What is the highest common divisor of 398605 and 25? 5 What is the greatest common divisor of 21280 and 4816? 112 What is the highest common factor of 103230 and 55? 5 What is the greatest common factor of 12 and 96? 12 What is the highest common factor of 36064 and 22148? 196 Calculate the highest common factor of 49298 and 7850. 314 What is the highest common divisor of 40649 and 91? 7 What is the greatest common divisor of 2840 and 40? 40 What is the highest common divisor of 1710 and 6660? 90 Calculate the highest common factor of 2516 and 459. 17 What is the highest common divisor of 379154 and 8282? 202 What is the highest common factor of 2573 and 22327? 83 What is the highest common factor of 756 and 670248? 108 Calculate the highest common factor of 432221 and 1099. 157 What is the greatest common divisor of 18758080 and 110? 110 Calculate the highest common factor of 20680 and 1520. 40 What is the greatest common factor of 616 and 30712? 88 What is the highest common factor of 533193 and 669? 669 Calculate the highest common divisor of 608 and 1024. 32 Calculate the highest common divisor of 21 and 37707. 3 What is the highest common divisor of 724012 and 12? 4 What is the greatest common divisor of 81844 and 2844? 316 Calculate the greatest common factor of 986 and 15283. 493 What is the highest common factor of 808 and 1336? 8 What is the greatest common factor of 19479 and 774? 129 Calculate the highest common divisor of 65 and 1141309. 13 Calculate the greatest common factor of 1055354 and 2826. 314 Calculate the greatest common factor of 11979 and 8613. 99 What is the greatest common divisor of 1911 and 2891? 49 Calculate the greatest common divisor of 97 and 63923. 97 What is the highest common factor of 258 and 151446? 258 Calculate the highest common factor of 1065190 and 10. 10 Calculate the greatest common divisor of 406 and 187108. 58 What is the highest common factor of 133 and 440876? 19 Calculate the greatest common factor of 22100 and 2380. 340 What is the highest common divisor of 3663 and 16687? 407 Calculate the greatest common divisor of 166732 and 876. 292 Calculate the highest common factor of 6 and 17462. 2 Calculate the highest comm
{ "pile_set_name": "DM Mathematics" }
st value in a, 0.4, 0? a Let s = -3 + -1. Let u(r) = -r**3 + 46*r**2 - 108*r + 879. Let y be u(44). Which is the second biggest value? (a) y (b) s (c) -5/4 (d) 5 a Let q = 9215.96 - 9216. Let m = 36 + -37. Which is the smallest value? (a) m (b) 0.04 (c) q a Let b be 41/(-205) + 9/20. Let l = 1091/6 + -181. What is the biggest value in l, -0.3, b, -4? l Let y = -34/5 - -33/5. Let r(d) = 67*d + 24. Let k be r(19). Suppose -k = 6*x - 1231. What is the second smallest value in 0.03, y, x? y Let m be (-19)/38*(-6)/(-36)*-3. What is the fourth smallest value in m, 0.5, 5, -27, -3/8? 0.5 Let t = 7286 - 6762.1. Let b = t - 524. What is the third smallest value in 4/25, b, 0.1? 4/25 Let n be -27*15/(-5 - -50). What is the third biggest value in 4, n, -0.28? n Let s = 498.542 + 7.758. Let h = s - 508. Suppose -4*w - i + 21 = 0, 0 = 2*w + 3*i + 7 - 30. What is the biggest value in h, -5, w? w Let j = 184.4997 + -0.4997. What is the biggest value in j, 0.5, -3, 1? j Let o = 0.04 - 0.24. Let z = -1/2991 + -8971/5982. What is the fourth biggest value in o, -1/3, z, 24? z Let j = 16 - 19.4. Let h = -3.1 - j. Let k = -1668.15 - -1668. What is the second smallest value in h, 4, k, 1? h Let y = 143 + 18.8. Let k = 152 - y. Let m = -6.8 - k. What is the second biggest value in m, -0.3, -0.9? -0.3 Let v = -575.92237 + 0.02237. Let n = v - -576. Which is the second biggest value? (a) n (b) -12 (c) 0 c Let l be 0 + -5 + 0 + 9. Let v be 4/(-22) - ((-580)/165 + l). Let x = -35 - -34.7. Which is the smallest value? (a) v (b) x (c) -9 c Let h = 479/17 + -3319/119. What is the third biggest value in 0.1, -8, h, 5, 3? h Let p = -5990 - -101834/17. What is the third smallest value in p, 92, 0.3? 92 Let k = -2721 - -2724. What is the fourth biggest value in -1, 1/565, k, 1/8? -1 Let i(v) = -v**3 - 14*v**2 + 20*v - 34. Let l be i(-15). Let o be -5 + 6 + 2856/(-26). Let d = l - o. Which is the second smallest value? (a) d (b) -4 (c) -3 c Let o = -0.17 - -0.45. Let q = o - -2.32. Let a = 2.4 - q. What is the smallest value in a, 4, -2/3? -2/3 Let p = 3218/7 + -38378/35. Let l = p - -17737/40. Let n = -193 - l. What is the second biggest value in n, 0.1, -5? 0.1 Let u be (-1 + 6)/((-13)/(-507))*-1. Let l be 8/(-4) - (1 - u/(-63)). Which is the second smallest value? (a) 0.37 (b) 4 (c) l a Let u = 7609.5 - 7609. Let q = 4.9 + -5. Which is the third biggest value? (a) -2/3 (b) -1/2 (c) u (d) q b Let x = -15407.5 - -15408. Let k(z) = z**3 - 5*z**2 - z - 5. Let s be k(5). Let j be (-1)/(s/16*-2). What is the smallest value in x, j, 0.3? j Let i = 84.41 + -84.81. What is the third smallest value in 7, 2, 2/49, -3, i? 2/49 Let r be (-12)/120 + (-32)/(-40). What is the second smallest value in -5, 0, r? 0 Let n be (3/30)/((-1)/2). Let p = 8903/13431 - -17/4477. What is the third biggest value in n, 0.3, p? n Let n = -267 + 5071/19. Let t be 3 + -3*66/90. Which is the third biggest value? (a) -4 (b) 5 (c) t (d) n d Let y = -1.9 + -33. Let k = 35.07 + y. What is the third biggest value in 0.5, 1, k? k Let l(d) = -30*d - 184. Let y be l(-6). Let f(m) = 9*m + 28. Let o be f(y). Which is the third smallest value? (a) o (b) 3/7 (c) -5 b Let v = 332.4392 + -9.4872. Let f = -323 + v. Which is the second smallest value? (a) f (b) 1 (c) -0.1 a Let t = -2150 + 1535. Let v = t - -614.1. What is the second biggest value in -0.2, v, 2/9, -5? -0.2 Let f be 3/(-79 + 4)*(-1)/2. Let h = 17/150 + f. Let j = -37 + 37.3. Which is the third biggest value? (a) 2 (b) -3 (c) j (d) h d Let g = -1407.6 + 1408. What is the second biggest value in g, 6, 0.2, -99, 3? 3 Let r = 45.5 + -64.2. Let g = -16.7 - r. Which is the second smallest value? (a) 1/6 (b) g (c) 0.3 (d) 4/5 c Let i = 1/13080 + -91/2180. Which is the third biggest value? (a) -1 (b) i (c) 2 a Let x = 1194.4 + -1194. What is the biggest value in -0.5, -0.1, 692, 3, x? 692 Let s = 70.90185 + 2.09815. Let u = 0.04 + -2.04. What is the biggest value in u, -1/11, s? s Let f = 884054/9 - 98228. Let y(g) = 4*g - 9. Let w be y(-7). Which is the smallest value? (a) w (b) f (c) -2/15 a Let q = -5.115 - -4.715. What is the third biggest value in q, -17, 2, 2/3? q Let w = -344.6 + 51.6. Let l = -294 - w. What is the second smallest value in l, -2/21, 0.4? -2/21 Let v be -1 + 19/(1463/33). Let m = -19 - -21.8. Let k = m - 3. What is the smallest value in 1, k, v, -0.4? v Let a = 0.2 - 1.2. Let p = -0.57 + 0.17. Let j be (-5)/(-25)*10/(-4). What is the third biggest value in a, j, p? a Let x = 4.03 - 0.03. Suppose d + 3 = 10. Let z be -3 - (1/(-2))/(d/63). What is the third smallest value in -5, z, x? x Let d = 251/1075 + 2/43. Let b = -24 - -20. What is the second smallest value in 4, b, d? d Let v = 6148/4777 + 2/281. Which is the smallest value? (a) 0.3 (b) v (c) 0 c Let q be ((-1)/2)/(10/(-4)). Let g = -473 + 1984. Let l = -1514 + g. Which is the third biggest value? (a) 1/3 (b) -5 (c) l (d) q c Let a(h) = 2*h**2 - 33*h + 13. Let w be a(16). Suppose q = v, 0 = 5*v - 4*q - 0*q + 1. Let t = -63 - -63.5. What is the third biggest value in v, t, w, 6? v Let w = 0 + -0.5. Let o be 29/(-1044)*786 + 21 - 4/(-6). What is the biggest value in 2/17, o, w, 5? 5 Let n = -22957.923 + 22958. Which is the third smallest value? (a) 2/3 (b) 3/7 (c) n (d) 0.5 d Let f = 4867 - 4915. What is the fifth biggest value in -4, -2/9, 0.5, f, 4? f Let n = -85.1 - -87.1. What is the biggest value in -6/13, 0.05, 25, n? 25 Let u = -35/576 + -113/2880. Which is the fourth smallest value? (a) 16 (b) u (c) 0.04 (d) 2/11 a Let y be -5*((-11)/(55/14) - -2). Suppose y*j - 13 + 1 = 0. Which is the smallest value? (a) 6/7 (b) 0 (c) j b Let v(z) = -z**2 - 7*z - 4. Let j be v(-7). Let t = 8054 - 8056. What is the fourth biggest value in 1/8, -1, t, j? j Suppose 83*i = 89*i + 12. Let h be (759/92)/(18/(-4)) - i. Which is the second smallest value? (a) h (b) -39 (c) -5 c Let r be (-57)/133 - (-10)/56. Let m = 26 + -28.2. Let l = m - -2.7. Which is the second smallest value? (a) r (b) -0.4 (c) l a Let s = -22797 - -22794. Which is the third smallest value? (a) s (b) 1/5 (c) 283 (d) 3/2 d Let i = -33.55 - -33.35. What is the smallest value in -13, i, -1/2? -13 Suppose -5*g - 3*v - 11 = -41, 3*g = 3*v - 6. What is the second biggest value in -6, 123, g? g Let n be (-1)/(-3) - 19/21. Let z = 113.7 - -76. Let k = z + -190. Which is the fourth smallest value? (a) -5 (b) 6 (c) n (d) k b Let j = 983/1970 - -1/985. Which is the second smallest value? (a) 12.1 (b) j (c) 1/3 (d) 0.3 c Let o = -0.2 - -0.3. Let r(g) = -g**2 + 13*g - 22. Let d be r(15). Let m be d/(-30) - 56/42. What is the biggest value in o, 0.2, m, -0.1? m Suppose -4*f - 73 = 11. Let l = 1477.8 - 1478. Which is the biggest value? (a) f (b) -2/9 (c) -4 (d) l d Let k = -738.15 + 739. Let o = k - 5.85. Let g = -0.1 - -0.3. Which is the biggest value? (a) -1 (b) g (c) o b Let p = -134 + 134. Let v = 0 + -0.1. Let s = v + p. Which is the second smallest value? (a) 0.6 (b) s (c) -1 b Let m = 14.15 - 19.4. Let k = -8.25 - m. Let w = 0.04 + 0.26. What is the fourth biggest value in 0.5, k, w, 0.03? k Let k(v) = -3*v**2 + v - 1. Suppose 2*b - 6 = p + b, 5*p = 2*b - 18. Let l be k(p). Let i be (-10)/l*(-3)/17. What is the second smallest value in 4, -0.2, i? i Let z = -154.29 - -123.29. What is the smallest value in z, 1, 5, 0, -2? z Let f = -4613.4 - -3870. Let g = f - -743. What is the biggest value in 0.6, g, -0.7? 0.6 Let o = -0.2 + 0.2. Let k(n) = -n**3 + 4*n**2 + 13*n - 2. Let c be k(6). Let l = 632.4 + -632. What is the fourth smallest value in l, -1, o, c? c Let f(i) = -172*i - 3787. Let y be f(-22). Which is the biggest value? (a) -13 (b) -37 (c) 0.3 (d) y c Let b be 21/28 - 3/(-12). Let r(o) = -5*o - 4*o**2 + 3*o + 8*o**2 + o**2 + 2. Let d be r(b). What is the third biggest value in 1/8, -0.2, d? -0.2 Let a = -5573 + 5570. What is the second smallest value in -52/9, 2/7, 0.2, a? a Let x = 21150 + -21113. Let z = 0.3 + 0. What is the biggest value in 0, x, z? x Let l be (-11)/(44/(-8)) + (-6)/(-6). Which is the biggest value? (a) 199 (b) 2 (c) -0.2 (d) l a Let d = -1775 + 2611. Let z = 835 - d. Which is the third smallest value? (a) 3 (b
{ "pile_set_name": "DM Mathematics" }
(b) 17055 (c) -3 b Which is the third smallest value? (a) -15 (b) 3 (c) 0.055 (d) 2 (e) -0.1578 c What is the third biggest value in 4, -16, 3/2, 1, -3446, 2/9? 1 Which is the fourth smallest value? (a) -467 (b) -63 (c) -2 (d) 0.1 d What is the fourth smallest value in -3, 42/5, -56/41, -0.2, -12, -4, -1/2? -56/41 Which is the fifth biggest value? (a) 130 (b) -3/16 (c) -1 (d) 1/2 (e) 796 (f) 0.4 b Which is the smallest value? (a) -2 (b) -1 (c) 0 (d) 6 (e) -12 (f) -0.3 (g) 69 e What is the second smallest value in -83, 0.35, 190/203? 0.35 What is the third biggest value in -0.9, 0, -1/6, -0.03, 2/3, -4.07? -0.03 Which is the third smallest value? (a) -3 (b) -0.03 (c) -1/9 (d) 5 (e) -4.472 (f) -1/6 f Which is the third biggest value? (a) -1 (b) -196921/12 (c) 2.7 b What is the seventh biggest value in 3, 5, -3/4, 1/2, -86/7, -0.8, 4/7? -86/7 What is the biggest value in 0.5, 73/9, -1/3, -2/5, 46? 46 Which is the second biggest value? (a) -1371/5 (b) 0.12 (c) 0.02 c Which is the biggest value? (a) 1/6 (b) 49/3 (c) -0.06 (d) -2/13 (e) -10/17 (f) -5/3 b What is the fifth biggest value in 0, -0.4, 7, -21, 15, 479, -6/5? -0.4 What is the second biggest value in 472, 0.1, 0.22, -5? 0.22 What is the smallest value in 8988, -1, -1/17, 0? -1 What is the fourth biggest value in 46736, -0.111, 5/2, 5? -0.111 What is the second biggest value in 3, -0.3, -58/23, -17, 1, -0.33? 1 What is the second smallest value in -1.4, 378680, -6, -0.1? -1.4 What is the seventh smallest value in 1.4, 1/7, 0.5649, -0.43, 0.2, 1, 2? 2 Which is the fifth smallest value? (a) 0.1 (b) -2374 (c) -636 (d) -5 (e) 15 e Which is the third biggest value? (a) 11 (b) -772 (c) 99 (d) -0.1 d Which is the smallest value? (a) -1/32 (b) 0.395174 (c) -1/4 c What is the fifth biggest value in -0.5, -0.1, 4/3, 1, -6, -52/47? -52/47 What is the biggest value in 0.063, -0.39, 2/443? 0.063 Which is the fifth biggest value? (a) -0.4 (b) -1/2 (c) 7/4 (d) 3 (e) -2 e Which is the second smallest value? (a) 15 (b) -5 (c) -4192 (d) -0.3 (e) 0.4 (f) -1.2 b What is the fourth smallest value in 17, 1/5, 3/23, -3/104? 17 Which is the biggest value? (a) 0.27 (b) 4 (c) 0.03 (d) 36.51 d Which is the second biggest value? (a) -4 (b) -3287761 (c) 10 a Which is the third biggest value? (a) 1/11 (b) -305 (c) -13 b What is the fifth biggest value in -2/7, 0.7, 0.23, -0.3, 0.5, -1.069? -0.3 Which is the second smallest value? (a) 0 (b) -4 (c) 0.011 (d) 52/7 (e) 1.14 (f) 3 a Which is the biggest value? (a) 0.14 (b) -1/4 (c) 15866 (d) 0 (e) 0.1 (f) -0.4 c Which is the second smallest value? (a) -3 (b) 209/511473 (c) 5 b Which is the biggest value? (a) 406 (b) 5933/14 (c) 2/11 b Which is the second smallest value? (a) -3 (b) -0.2 (c) 749 (d) -4 (e) 4/3 a What is the fourth biggest value in -1/2, 14, -4, 134290, 5? -1/2 What is the smallest value in -6, 3758176, -1/3? -6 Which is the second smallest value? (a) 2/7 (b) -0.16 (c) 2/13 (d) -5/66 (e) 3 (f) -0.17 b Which is the second smallest value? (a) 0.3 (b) -10 (c) -8 (d) -0.38406 c Which is the third smallest value? (a) -1817 (b) 5.3 (c) -69 (d) 5 d What is the fourth smallest value in 3/4, 1, -229, -0.4, 2, 100, 3? 1 Which is the biggest value? (a) 5 (b) -1 (c) -246 (d) 2/9 (e) -1/5 (f) -0.08 a What is the fifth biggest value in 2/2933, -2, 2/3, 1/6, 6, 0.1? 2/2933 What is the fifth smallest value in 2, -1/6, -37, -17.91, -5, 5? 2 What is the third biggest value in 1/3, 178507, -3/4? -3/4 Which is the sixth smallest value? (a) 1/4 (b) 3/2 (c) 0.5 (d) 1/39 (e) -14 (f) -1 (g) -0.2 c Which is the biggest value? (a) 161 (b) 2/5 (c) 0 (d) -9/5 (e) 1 a What is the biggest value in 0.2817, 0, 3, 0.5, 12, -2, 1/5? 12 Which is the second smallest value? (a) -2/7 (b) -0.2 (c) 0.02 (d) 38547 (e) -0.3 a Which is the third smallest value? (a) -2/5 (b) -72 (c) -3 (d) 0.3 (e) -2/733 a Which is the third biggest value? (a) -0.5 (b) -17 (c) 52 (d) 5/283 (e) 2/3 (f) -2 (g) 1/2 g Which is the biggest value? (a) 73 (b) -44/5 (c) -5 (d) -2/15 (e) -201 a What is the second smallest value in 2, 3/11, 99, -80, -25, 0.1? -25 Which is the smallest value? (a) -18/1166795 (b) 3/8 (c) 0 a What is the second smallest value in -0.1, -0.5, -0.2, -3, -72.73? -3 Which is the fourth smallest value? (a) 2 (b) 0 (c) 0.13 (d) -4 (e) -7647 c Which is the smallest value? (a) 4 (b) -5 (c) -0.2 (d) 2/7 (e) -557811 (f) 0.2 (g) 2 e Which is the sixth smallest value? (a) -22 (b) -53 (c) 1 (d) 4/3 (e) -1/9 (f) -1 d What is the third biggest value in 4, 2/7, -589936, 1, 1/6? 2/7 Which is the fourth biggest value? (a) -2.3 (b) 9.98 (c) 5 (d) -2/3 (e) -0.05 (f) -4/3 (g) -3 d What is the second smallest value in 102/19, 2/57, 1, -2.9? 2/57 Which is the smallest value? (a) -0.333 (b) 1 (c) -5/2 (d) -2/5 (e) 2/3 c Which is the third biggest value? (a) 0 (b) -1963 (c) 16 (d) -5/3 d What is the smallest value in -2/3, -19, 5, 1/3, -2, 203, 2/7? -19 Which is the third smallest value? (a) -1/2 (b) 6/2203 (c) 0.329 c What is the fourth smallest value in 1/16, 2, 0, -12/13, -3/5, -0.06, 2/7? 0 What is the second biggest value in -1.27, -2, 2/24131, -0.2? -0.2 What is the smallest value in -3/2, -1629, 3, -4, 5, 7, 0.02? -1629 Which is the smallest value? (a) -1.302 (b) -0.1 (c) 3 (d) 500 a Which is the smallest value? (a) 1507 (b) -24/7 (c) 1 (d) 0.02 (e) -0.52 b What is the third biggest value in -8/49, 1, 2.283? -8/49 Which is the second biggest value? (a) 3/7 (b) 1 (c) 0.5 (d) 22 (e) -229/5 b Which is the fourth biggest value? (a) -0.2 (b) -1183829.97 (c) -5 (d) 4/7 (e) 1 (f) -1/2 f Which is the fourth smallest value? (a) 0.2 (b) 4 (c) -0.2 (d) 2 (e) -3/2 (f) -15/43 (g) -1 c Which is the second biggest value? (a) 631/5 (b) 72383 (c) -2/5 a Which is the fourth smallest value? (a) 9/2 (b) -4 (c) 1.9 (d) -2 (e) 6/5 (f) 5 c Which is the smallest value? (a) -0.28 (b) -15/7 (c) -4 (d) -0.1 (e) -30 e Which is the smallest value? (a) -1/11 (b) -37486346 (c) 0.2 b What is the sixth biggest value in 1/3, -0.5, 0.4, 7, -0.6, -1, -1/3528? -0.6 What is the fourth smallest value in 7/2, 3, 0.5, 1, -2/95, -2/13, 1/3? 0.5 Which is the fourth smallest value? (a) -1517 (b) 0.6 (c) 2 (d) -0.09 (e) 7 c Which is the smallest value? (a) 2/95 (b) 1/3 (c) 0.5 (d) -11 (e) 44 d What is the biggest value in 2, 9/8, -11/8, -20, 4? 4 What is the smallest value in -69/272, 2, -241? -241 What is the second biggest value in 5, 65242, -2/13, -3/4, -5, 6? 6 What is the sixth biggest value in -0.1, -0.22, 0, -2/15, 4, 2, -13? -0.22 What is the smallest value in 1/3, 3, -1, -26.86, -2, -1/6, 10? -26.86 Which is the fourth smallest value? (a) 0.2 (b) 5 (c) -4 (d) -22983/185 b What is the fifth biggest value in -3, 33, -0.24, -1, 3/5, -242? -3 What is the biggest value in 69596, -2, -10, -13/4? 69596 What is the fifth biggest value in -1, -0.4, 9/1991, -5, 2, 5/3, 0.1? -0.4 What is the third biggest value in -1, 4, 7, -17/2, 1.1, 17? 4 What is the biggest value in -4, 0, -4907, 1.47? 1.47 Which is the third smallest value? (a) 6 (b) 758 (c) -1 (d) 3/7 (e) 5 e What is the third biggest value in 16, 8/23, 0.00279, -2/9? 0.00279 Which is the third biggest value? (a) 5 (b) -5/28 (c) -1/1536 b Which is the sixth smallest value? (a) 8 (b) -1/9 (c) 55 (d) -4 (e) 0 (f) -3 c What is the fourth smallest value in -1/30, -0.5, -0.2, -150, 3.42, 0.2? -1/30 What is the second smallest value in 0.5, 65249.9, 20/7, -0.01? 0.5 What is the biggest value in -6119, -1/4, -14? -1/4 What is the third biggest value in 2, -4/5, -167, 9, -2/7, 0.233? 0.233 Which is the fourth biggest value? (a) 2/9 (b) -0.4 (c) -2.5 (d) 8 (e) 35/8 b What is the third smallest value in 3, 0.115, -1, -0.02, 1, -1/3, 11? -0.02 Which is the second smallest value? (a) -101/3 (b) 1/2 (c) -1.2 (d) 5098 c What is the third biggest value in -5, 5, -507, 2999? -5 Which is the third smallest value? (a) 2 (b) -6 (c) -2/3073905 a What is the second biggest value in 487/7, -12, -0.3, -4230? -0.3 Which is the biggest value? (a) 16/31 (b)
{ "pile_set_name": "DM Mathematics" }
ime factors of 18509884? 2, 433, 10687 What are the prime factors of 1335817? 7, 23, 8297 List the prime factors of 760672. 2, 11, 2161 List the prime factors of 444351. 3, 73, 2029 List the prime factors of 151614. 2, 3, 8423 What are the prime factors of 6052049? 47, 128767 What are the prime factors of 12127445? 5, 11, 311, 709 What are the prime factors of 978789? 3, 7, 127, 367 List the prime factors of 6835764. 2, 3, 13, 29, 1511 List the prime factors of 113977. 293, 389 List the prime factors of 2219361. 3, 739787 List the prime factors of 404974. 2, 17, 43, 277 What are the prime factors of 3202688? 2, 131, 191 List the prime factors of 24068. 2, 11, 547 What are the prime factors of 873734? 2, 19, 22993 What are the prime factors of 21624572? 2, 293, 18451 List the prime factors of 228146. 2, 114073 List the prime factors of 359734. 2, 41, 107 What are the prime factors of 1619423? 13, 43, 2897 What are the prime factors of 337125? 3, 5, 29, 31 What are the prime factors of 279854? 2, 17, 8231 What are the prime factors of 2793779? 19, 71, 109 List the prime factors of 1246318. 2, 41, 15199 List the prime factors of 649878. 2, 3, 89, 1217 What are the prime factors of 309927? 3, 17, 59, 103 List the prime factors of 535308. 2, 3, 31, 1439 List the prime factors of 1015599. 3, 13, 26041 What are the prime factors of 968033? 11, 88003 What are the prime factors of 15281335? 5, 167, 18301 What are the prime factors of 5532889? 73, 75793 List the prime factors of 3206308. 2, 7, 307, 373 List the prime factors of 52828. 2, 47, 281 What are the prime factors of 7725981? 3, 2575327 List the prime factors of 4274298. 2, 3, 7, 33923 What are the prime factors of 2934968? 2, 19, 19309 List the prime factors of 255434. 2, 127717 What are the prime factors of 634347? 3, 7, 10069 What are the prime factors of 1156605? 3, 5, 83, 929 List the prime factors of 616690. 2, 5, 83, 743 List the prime factors of 29001753. 3, 11, 97649 List the prime factors of 487213. 487213 What are the prime factors of 571033? 491, 1163 List the prime factors of 5917667. 7, 845381 List the prime factors of 7194250. 2, 5, 7, 4111 What are the prime factors of 592869? 3, 83, 2381 What are the prime factors of 259456? 2, 2027 List the prime factors of 6998189. 11, 101, 6299 What are the prime factors of 42309? 3, 1567 List the prime factors of 32107865. 5, 6421573 List the prime factors of 1583289. 3, 19, 47, 197 List the prime factors of 3980012. 2, 23, 43261 What are the prime factors of 623250? 2, 3, 5, 277 List the prime factors of 78752. 2, 23, 107 What are the prime factors of 7246881? 3, 268403 What are the prime factors of 36578? 2, 18289 List the prime factors of 22483901. 11, 37, 55243 List the prime factors of 34874. 2, 7, 47, 53 List the prime factors of 2382674. 2, 7, 41, 593 What are the prime factors of 10669424? 2, 23, 79, 367 What are the prime factors of 13926639? 3, 19, 263, 929 What are the prime factors of 3007590? 2, 3, 5, 29, 3457 What are the prime factors of 9863168? 2, 7, 43 List the prime factors of 6790496. 2, 212203 What are the prime factors of 685983? 3, 251, 911 What are the prime factors of 418191? 3, 139397 List the prime factors of 731331. 3, 23, 3533 What are the prime factors of 4536544? 2, 141767 What are the prime factors of 2634914? 2, 47, 28031 What are the prime factors of 3751498? 2, 29, 71, 911 List the prime factors of 7849740. 2, 3, 5, 130829 List the prime factors of 833139. 3, 59, 523 What are the prime factors of 8260285? 5, 11, 101, 1487 What are the prime factors of 330862? 2, 7, 23633 What are the prime factors of 5573168? 2, 348323 What are the prime factors of 5022645? 3, 5, 334843 List the prime factors of 711706. 2, 355853 What are the prime factors of 867245? 5, 29, 5981 What are the prime factors of 1006459? 827, 1217 What are the prime factors of 46290? 2, 3, 5, 1543 List the prime factors of 44592. 2, 3, 929 List the prime factors of 623756. 2, 7, 22277 What are the prime factors of 1556567? 1556567 List the prime factors of 4429294. 2, 23, 96289 List the prime factors of 171617. 171617 What are the prime factors of 332275? 5, 13291 List the prime factors of 187013. 23, 47, 173 List the prime factors of 1433366. 2, 11, 5923 List the prime factors of 368686. 2, 83, 2221 What are the prime factors of 31852276? 2, 47, 169427 List the prime factors of 147010. 2, 5, 61, 241 What are the prime factors of 15569417? 19, 819443 What are the prime factors of 326799? 3, 11, 3301 What are the prime factors of 514116? 2, 3, 14281 List the prime factors of 6727055. 5, 373, 3607 List the prime factors of 6533893. 43, 47, 53, 61 List the prime factors of 10903676. 2, 7, 55631 What are the prime factors of 5129685? 3, 5, 11, 43, 241 List the prime factors of 738839. 738839 What are the prime factors of 71137? 11, 29, 223 What are the prime factors of 495657? 3, 55073 List the prime factors of 714999. 3, 41, 5813 List the prime factors of 196694. 2, 98347 What are the prime factors of 211842? 2, 3, 3923 List the prime factors of 136946. 2, 68473 List the prime factors of 9303464. 2, 19, 97, 631 What are the prime factors of 891958? 2, 89, 5011 What are the prime factors of 173973? 3, 57991 List the prime factors of 8535. 3, 5, 569 List the prime factors of 2700061. 7, 13, 29671 What are the prime factors of 763278? 2, 3, 23, 5531 List the prime factors of 2299621. 821, 2801 List the prime factors of 20523317. 20523317 What are the prime factors of 48929? 113, 433 List the prime factors of 18888179. 18888179 What are the prime factors of 1833129? 3, 353, 577 List the prime factors of 3306957. 3, 29, 38011 What are the prime factors of 2682027? 3, 31, 9613 List the prime factors of 2149653. 3, 11, 65141 What are the prime factors of 21011661? 3, 11, 212239 What are the prime factors of 7422418? 2, 3711209 What are the prime factors of 6545029? 67, 97687 List the prime factors of 25602. 2, 3, 17, 251 List the prime factors of 17337291. 3, 19, 304163 List the prime factors of 1725334. 2, 13, 66359 List the prime factors of 319872. 2, 3, 7, 17 What are the prime factors of 37047? 3, 53, 233 What are the prime factors of 6632684? 2, 1213, 1367 What are the prime factors of 5079712? 2, 11, 14431 List the prime factors of 216973. 216973 List the prime factors of 1019298. 2, 3, 7, 3467 List the prime factors of 237030. 2, 3, 5, 7901 List the prime factors of 5330807. 137, 167, 233 List the prime factors of 282231. 3, 10453 What are the prime factors of 189825? 3, 5, 2531 What are the prime factors of 135159? 3, 45053 List the prime factors of 80491. 80491 What are the prime factors of 189276? 2, 3, 15773 List the prime factors of 85244. 2, 101, 211 What are the prime factors of 287896? 2, 7, 53, 97 List the prime factors of 4147714. 2, 73, 28409 What are the prime factors of 3550006? 2, 29, 97, 631 List the prime factors of 33998209. 7, 23, 97, 311 List the prime factors of 33143650. 2, 5, 31, 21383 What are the prime factors of 89193? 3, 13, 2287 What are the prime factors of 1575500? 2, 5, 23, 137 List the prime factors of 144503. 83, 1741 What are the prime factors of 1685909? 163, 10343 What are the prime factors of 5778? 2, 3, 107 List the prime factors of 4424304. 2, 3, 92173 What are the prime factors of 1623230? 2, 5, 7, 23189 What are the prime factors of 96896? 2, 757 What are the prime factors of 212329? 13, 16333 List the prime factors of 424757. 424757 What are the prime factors of 343016? 2, 53, 809 List the prime factors of 8456578. 2, 13, 41, 7933 What are the prime factors of 5022297? 3, 7, 26573 List the prime factors of 3830258. 2, 421, 4549 What are the prime factors of 11967025? 5, 7, 9769 What are the prime factors of 193484? 2, 48371 List the prime factors of 2648325. 3, 5, 35311 What are the prime factors of 366521? 366521 What are the prime factors of 3225849? 3, 11, 67, 1459 What are the prime factors of 260454? 2, 3, 83, 523 What are the prime factors of 23803? 13, 1831 What are the prime factors of 192546? 2, 3, 19, 563 List the prime factors of 636292. 2, 159073 List the prime factors of 8956914. 2, 3, 1492819 What are the prime factors of 932104? 2, 37, 47, 67 List the prime factors of 113182. 2, 56591 Wh
{ "pile_set_name": "DM Mathematics" }
ich is the nearest to -2? (a) -2 (b) 0.3 (c) -3923 (d) 3 a What is the closest to -0.0501 in -0.5, 0.3, -0.2, 6? -0.2 Which is the nearest to -116? (a) -84 (b) 0.3 (c) 1.2 a What is the nearest to 3 in -2, 0.05, 0.24, -2/9? 0.24 What is the closest to -8 in -0.4, -223, 21? -0.4 Which is the closest to -2/9? (a) 1 (b) 0.01 (c) -0.6 (d) -4 b Which is the nearest to 2/11? (a) 0.5 (b) -0.3 (c) 0.2 (d) 4.7 c Which is the closest to -35/6? (a) -1/5 (b) 0 (c) 0.5 a Which is the closest to 1/2? (a) 94/15 (b) 1 (c) -1 b Which is the closest to 0? (a) 13.5 (b) -19 (c) -11 c What is the closest to 13/4 in -37, 4, -2/9, -0.056? 4 Which is the nearest to -2/15? (a) 1.07 (b) -6 (c) -40 (d) 2/13 d Which is the nearest to -4? (a) 0.2 (b) 5/2 (c) 841 a What is the closest to 33637 in -3, 0, 3/7, -4/3? 3/7 What is the closest to 0.07 in -2/3, 1/4, -0.024, 4, 0? 0 Which is the closest to -2/5? (a) -5944 (b) -0.01 (c) 0 (d) 2/3 b What is the nearest to -1/2 in -1/4, 0.2, 1, 2629, -7? -1/4 Which is the closest to -1? (a) -286 (b) 0 (c) 7 (d) 4 b What is the closest to -217 in 0.08, 4, 5/28? 0.08 Which is the closest to 0.1? (a) 31 (b) 1 (c) 2 (d) -3 b What is the closest to -2/7 in -6/17, 1, 5? -6/17 Which is the closest to -11? (a) -7 (b) 8 (c) -1.49 (d) -3 (e) 0.5 a Which is the nearest to 2.1? (a) -4 (b) 2/7 (c) 13 b What is the nearest to 0.907 in 929, 0, 1/3? 1/3 Which is the nearest to 36? (a) 4 (b) -125 (c) -28/9 a What is the nearest to -0.1 in -0.1, 1/407, -5, -0.0182? -0.1 Which is the nearest to 1187? (a) -7 (b) 0.1 (c) 8 (d) 1 c Which is the nearest to -2/415? (a) 0.5 (b) -0.5 (c) 0 (d) 4 (e) 2 c Which is the closest to 2? (a) 0.1 (b) 21.7 (c) -3 (d) -0.1 a What is the closest to -1 in -124, -4, -0.1, 710, -2/9? -2/9 What is the closest to 0 in -331, -20, -1/10, -1, -2/15? -1/10 Which is the closest to -76? (a) -0.1 (b) -2/117 (c) 0.1 (d) 0 a What is the closest to 3 in 2, -12, 2/9, -122, 0.3? 2 Which is the nearest to 0? (a) -0.21 (b) 674 (c) 0.27 a Which is the closest to -1? (a) -0.4 (b) 3 (c) -3 (d) -1051 a What is the closest to 94 in -32, 5, -2/7, 3, -0.1? 5 Which is the closest to -0.2? (a) 5 (b) 0.3 (c) -2 (d) -2545 (e) -0.4 e What is the closest to 1/5 in 1/3, -1/8, -1790, -2? 1/3 What is the closest to 6/37 in 0.3, 5/6, -4? 0.3 What is the nearest to -8 in 23/6, -1/12, 0, 0.27? -1/12 Which is the nearest to -7.2? (a) 4 (b) 31 (c) 2/9 c What is the closest to 2/9 in -13, 1, 2/17, 5? 2/17 Which is the closest to -0.2? (a) -52 (b) 2/7 (c) -2/35 (d) -2/13 (e) -0.3 d What is the nearest to 2.3 in -147, -5, 5, -0.3, 1? 1 Which is the closest to 1/15? (a) -7 (b) -1/9 (c) -0.09 (d) 1 (e) -8 c What is the nearest to 0.115 in 1, -2/31, -2? -2/31 What is the nearest to -2/9 in -1.614, -0.4, -8, 0.2? -0.4 Which is the nearest to 1? (a) 2 (b) -19264 (c) -0.1 (d) 0.05 d What is the nearest to 1/3 in 1/3, 0.3, 1/6, -733? 1/3 What is the closest to 63 in 0.2, -103, 1/11, 1? 1 Which is the nearest to 120? (a) 0.12 (b) 9 (c) 3 (d) 4/5 b What is the closest to -43 in 45, 0.2, 6/5? 0.2 What is the nearest to 17/3 in 0.1, -55, -0.6, 2/17? 2/17 Which is the closest to 3? (a) -0.132 (b) -123 (c) -4 a What is the closest to 1 in -260, 0.3, 0.157, 2/7? 0.3 What is the nearest to -1/4 in 0.3, 0.01, -1.2, 11, 5? 0.01 What is the nearest to 1/4 in 2, -2/13, 1151, -2? -2/13 Which is the closest to -242? (a) -37/3 (b) 0.2 (c) 5 (d) 2/11 a Which is the closest to 1/3? (a) 15 (b) -2 (c) -2/13 (d) 45/11 c Which is the closest to -1? (a) -111 (b) 3/2 (c) 23 b What is the closest to 2/21 in 0.5, -0.6, 16? 0.5 Which is the closest to 2? (a) -2 (b) 72660 (c) -6/7 (d) 5 c What is the nearest to 1 in -29.3, -0.5, -2, -13? -0.5 What is the closest to -0.5 in 5/13, -126, -0.2, 2/3? -0.2 Which is the closest to 1/6? (a) 5 (b) -21 (c) -6/11 c Which is the nearest to 1? (a) 1/5 (b) -5/4 (c) 5 (d) -8092 (e) -0.4 a What is the nearest to -1 in 1.4, -11, 5, 2? 1.4 What is the closest to 3 in 0.2, -17, 12/7, 0? 12/7 What is the closest to -1/4 in 271, 2, 0.2, -2/9, 1/9? -2/9 Which is the closest to -0.1? (a) 0 (b) 6/2429 (c) 1 (d) -4 a What is the nearest to 443 in 2, 4/5, 1/6, 0? 2 Which is the nearest to 0? (a) -0.3 (b) -2.205 (c) 13 a Which is the closest to 4? (a) 10 (b) -4 (c) -3 (d) -1.1 (e) 0.01 e What is the closest to -60 in -79, 1/4, -3? -79 Which is the nearest to 0? (a) 3 (b) 2 (c) 5 (d) -939 (e) -4.1 b What is the nearest to 0 in 176, -1/3, -11? -1/3 What is the closest to 1 in 0, -2/27, -2/5, 1, -274? 1 Which is the closest to 3? (a) -4 (b) 2/23 (c) 35 (d) 5 (e) 0.01 d What is the nearest to -0.4 in 3/8, -0.1006, 0.5? -0.1006 What is the nearest to 1/591 in -2/19, 0.2, -0.2, -2/5, -1? -2/19 What is the nearest to -2764/5 in -3, 2/85, -2? -3 What is the closest to -20 in 0.016, -11, 2/9? -11 Which is the nearest to 0.2? (a) 3 (b) 1 (c) 919 (d) -1/3 (e) -0.5 d What is the closest to -288 in -2/3, 0.3, 1? -2/3 Which is the nearest to -2088? (a) -2/9 (b) 1 (c) -22/9 (d) 0.2 c Which is the closest to 0.1? (a) 120 (b) 2/3 (c) -9/7 b Which is the nearest to 1/2? (a) -1/5 (b) 0.0414 (c) 0.3 (d) -6 (e) -0.4 c Which is the nearest to -0.4? (a) -0.5 (b) 0 (c) -13 (d) -3/34 a What is the closest to -0.1 in 5612, -1/3, 1/17? 1/17 Which is the closest to -5/4? (a) -1 (b) 256 (c) -34 a What is the nearest to 1/73 in 0.1, 1, -0.5, 0.0132? 0.0132 What is the nearest to -266 in -2/11, 0.3, -4/23, -0.5? -0.5 What is the closest to 0.13 in -5, -0.5, -2, -1/3, 3? -1/3 What is the closest to 6 in 3/4, 34, -0.2, 0.5? 3/4 Which is the nearest to 1/7? (a) 45 (b) 1.4 (c) 0.2 c Which is the closest to 6? (a) 4 (b) 0 (c) -0.0107 (d) 2/7 a What is the nearest to 4 in -1, 5, 139, -0.1? 5 What is the closest to 0.2 in 930, 0, 0.1, 13? 0.1 Which is the closest to 1.1? (a) -7/2 (b) -1/4 (c) -4 b Which is the closest to -2? (a) -1/4 (b) -6 (c) 8/13 a What is the closest to 9 in -8, 2/5, 17, -0.3? 17 Which is the nearest to 1? (a) 10 (b) 4 (c) 0.5 (d) 37/2 c What is the nearest to -2335 in -0.4, 1/29, -1/3, -3? -3 What is the closest to 2 in 4.12, -2/3, 0.8? 0.8 Which is the nearest to 0.3? (a) 3 (b) 18.8 (c) 0 c What is the closest to 3 in -1/4, -4, -16, 4, -3/4? 4 What is the closest to 0.2 in -0.3, 1/2, 0.3, -11, -166? 0.3 Which is the nearest to 2? (a) 2/4335 (b) 2 (c) 1 b What is the nearest to -2/3 in 2, 0, -2, 5/61, -14? 0 What is the nearest to 3/8 in 5, 1/5, -2/2889? 1/5 Which is the nearest to -0.3? (a) 22 (b) 0 (c) 14 (d) 4/7 b What is the closest to -909 in -0.4, 2, -3, -9? -9 What is the nearest to 0.1 in -2, -0.02, 1052, 5? -0.02 What is the nearest to 1 in -5/6, 5/4, 4, 0.47? 5/4 What is the closest to -168767 in -6, 2, 1? -6 Which is the closest to -1/18? (a) 1/1497 (b) -0.5 (c) 0.2 a What is the closest to -15 in 1/4, 18, 417? 1/4 Which is the nearest to 34/7? (a) -0.1 (b) -3 (c) -5/6 (d) 5 d Which is the closest to 7? (a) -75 (b) -86 (c) -2/13 c Which is the nearest to 3/2? (a) 0.2 (b) -1/6 (c) -3 (d) -4/269 a What is the closest to 1 in 0.01, -202, 0.007? 0.01 What is the nearest to -2/3 in 190, -2, 3, -23, -1/3? -1/3 What is the closest to -1/32 in 0.05, -3/4, 0.5, -19? 0.05 Which is the nearest to -0.5? (a) 0.5 (b) -2 (c) -1.1 (d) -0.12 d What is the closest to 0 in -2.26, -1/3, -4, 0, 0.0362? 0 Which is the closest to 0? (a) 0.8544 (b) 1 (c) -5 a What is the closest to 3/5 in -0.042, -5, -49, 0.3? 0.3 Which is the nearest to -1? (a) -0.197 (b) 1/2 (c) -1 (d) 2/7 (e) -4/33 c What is the closest to -1 in -2/7, 2/37175, -5? -2/7 Which is the nearest to 22? (a) 0.4 (b) -6/5 (c) -2 a Which is the closest to -4? (a) -5/4 (b) -0.12 (c) 76/3 (d) -4 d What is the closest to 1 in 0, -800956, 1/3? 1/3 What is the closest to -95 in 0, -0.3, 0.1? -0.3 What is the nearest to -2 in -2/5, 0.4, -3884, 5, 0? -2/5 What is the closest to 0.1 in 0.01, 5, -0.4, -2/133? 0.01 Which is the closest to -2? (a) 3/2 (b) -2 (c) -2/9 (d) -0.3 (e) -11/8 b What is the closest to -1 in 362, 2.3, 96? 2.3 Which is the nearest to -1/3? (a) 13 (b) 2 (c) 0.8 (d) 4/9 d What is the n
{ "pile_set_name": "DM Mathematics" }
t be d(2). Let p(k) = 1 - 5 + 2 + 3 - 3*k. Calculate t*v(s) - p(s). 2*s - 1 Let l(v) = 4*v**2 - 3*v - 1. Let r(d) = 0 - 949*d + 950*d + 1 - 1 - d**2. Calculate 2*l(q) + 4*r(q). 4*q**2 - 2*q - 2 Let h(u) = -104 + 210 - 108 - 19*u. Let q(r) = -10*r - 1. Give -2*h(i) + 5*q(i). -12*i - 1 Let a(r) = 0*r + 32 - 29 + 3*r. Let l(p) = 7*p - 5*p - 16*p - p - 16. Give 11*a(c) + 2*l(c). 3*c + 1 Let r(a) = a**2. Let s be (18/18)/(-8 + 7). Let l(c) = c**3 + 3*c**2 - 5. Give s*l(t) + 6*r(t). -t**3 + 3*t**2 + 5 Let b(x) = -5*x**2 + 2*x**2 + x - 3*x. Let h(m) be the first derivative of m**3/3 + m**2/2 - 2. Suppose -u = 7, -g + 115 - 121 = u. What is g*b(k) + 2*h(k)? -k**2 Let o(q) = -8559*q + 4320. Let c(i) = -6*i + 20. Calculate 648*c(g) - 3*o(g). 21789*g Let y(t) = -105945*t. Let j(w) = -6622*w. Give 63*j(o) - 4*y(o). 6594*o Let v(b) = 2718*b + 44. Let t(r) = r - 11. Calculate 4*t(d) + v(d). 2722*d Let r(m) = -11*m**2 + 8*m - 3. Let n(d) = -10*d**2 + 2*d - 2. Give 6*n(h) - 5*r(h). -5*h**2 - 28*h + 3 Let c be -2*(-6)/(-4)*1. Let o(l) = 2*l**2 + 37714*l + 37679*l - 75390*l. Let z(t) = 6*t**2 + 10*t - 5 + 5. Give c*z(i) + 10*o(i). 2*i**2 Let x = -171 + 155. Let j(q) = q**2 + 16*q - 4. Let l be j(x). Let u(k) = 9*k**3 - 4*k**2 + 4*k + 4. Let d(f) = f**3 - f**2 + f + 1. Calculate l*d(b) + u(b). 5*b**3 Let n(a) = -54*a**3 + 29 - a**2 + 41*a**3 + 12*a**3 - 30. Let g(o) = 6*o**3 + 4*o**2 + 5. What is -g(x) - 4*n(x)? -2*x**3 - 1 Let y(c) = 4*c**3 - 40*c**2 - 9. Let q(h) = -17*h**3 + 44*h**2 + 20. Let v(g) = -5*g**3 + 14*g**2 + 6. Let s(n) = -2*q(n) + 7*v(n). Determine 9*s(x) + 2*y(x). -x**3 + 10*x**2 Let h(a) = -7*a + 1. Let c(m) = -462*m + 3. Determine 2*c(n) - 6*h(n). -882*n Suppose 250 - 108 = -10*j + 362. Let n(k) = 2*k**3 - 2*k**2 - 2*k - 3. Let r(l) = 10*l**3 - 11*l**2 - 10*l - 16. Determine j*n(g) - 4*r(g). 4*g**3 - 4*g - 2 Let w(v) = -16*v**2 + 239*v - 12. Let m(j) = -9*j**2 + 117*j - 7. Determine 7*m(x) - 4*w(x). x**2 - 137*x - 1 Let q(j) = -21*j + 1. Let f = 466 - 325. Suppose -f = 3*o - 168. Let b(d) = -5*d. Give o*b(k) - 2*q(k). -3*k - 2 Let h(p) = 23*p**3 + 165*p**2 + 313*p. Let c(j) = -35*j**3 - 231*j**2 - 470*j. Determine 5*c(t) + 7*h(t). -14*t**3 - 159*t Let v(b) = 157490 + 4*b + b**2 + 157482 - 314979. Let r(g) = 4*g**2 + 11*g - 20. Give 6*r(h) - 17*v(h). 7*h**2 - 2*h - 1 Let m = -7236 - -7240. Let f(b) = 2*b**2 - 11*b + 3. Let v(t) = t**2 - 6*t + 2. Calculate m*f(a) - 7*v(a). a**2 - 2*a - 2 Let r(y) = 2*y**3 - 3*y**2 - 1612*y. Let l(v) = v**3 - v**2 - 7*v. What is -4*l(w) + r(w)? -2*w**3 + w**2 - 1584*w Let a(q) = -32025 - 22*q - 13*q + 32016. Let o(n) = -17*n - 5. What is -4*a(m) + 7*o(m)? 21*m + 1 Let g(k) = 7*k**2 + 2*k - 2. Let l(t) = 3*t**2 + t - 1. Let b be (-14)/(-64 + -6)*-20. Calculate b*g(z) + 9*l(z). -z**2 + z - 1 Let k(w) = w**3 + 446*w**2 + 1. Let d(u) = 2*u**3 + 890*u**2 + 2. Calculate 4*d(n) - 9*k(n). -n**3 - 454*n**2 - 1 Let n(c) = -16*c**3 + 13*c - 1. Let l(t) = 33*t**3 - t**2 - 32*t + 2. Let h(y) = -2*l(y) - 5*n(y). Let w(i) = i**3 + i - 1. Determine -h(o) - w(o). -15*o**3 - 2*o**2 Let m(i) = -5*i**2 - 2*i - 2. Let v(d) = 16*d**2 + 9*d - 32. Let a(t) = 15*t**2 + 8*t - 26. Let q(c) = -6*a(c) + 5*v(c). What is -5*m(k) + 3*q(k)? -5*k**2 + k - 2 Let j(d) = 8*d**2 - 4*d. Let s = 7985 - 7984. Let c(x) = x**2. Determine s*j(f) - 12*c(f). -4*f**2 - 4*f Let s(k) = 4*k + 7. Let b(g) = 46*g + 16. Determine b(m) - 5*s(m). 26*m - 19 Let o(k) = -10*k**2 + 5*k - 6. Let r be (1 + 0 + 4*(-7)/14)*-5. Let u(j) = 10*j**2 - 4*j + 5. What is r*o(v) + 6*u(v)? 10*v**2 + v Suppose 5*x + 3 = 18. Let s = 398 - 405. Let m be s*-5*(-7)/35. Let o(r) = -9*r - 4. Let i(f) = -4*f - 2. What is m*i(t) + x*o(t)? t + 2 Suppose -v + k - 27 = 0, 67*k + 58 = -2*v + 68*k. Let z(d) = -28*d**3 + 3*d. Let a(m) = -279*m**3 + 31*m. What is v*z(j) + 3*a(j)? 31*j**3 Let i(w) = -8*w**2 + 800*w - 15. Let u(l) = -4*l**2 + 400*l - 9. Give 3*i(r) - 5*u(r). -4*r**2 + 400*r Let u(s) = -10*s - 6. Let m be (10/(-3))/((-4 + 10)/18). Let b be 0*((-1)/(-5))/((-4)/m). Suppose 8*l - 3*l + 30 = b. Let t(k) = 9*k + 5. Give l*u(y) - 7*t(y). -3*y + 1 Suppose -5*j - 4*b - 78 = -26, -4*j + 8 = -3*b. Let h(i) = -i**3 - 2*i**2. Let l(p) = 4*p**3 + 9*p**2 + 1. Suppose -3*o = -0*o + 54. Determine j*l(m) + o*h(m). 2*m**3 - 4 Let i(c) = 48*c + 6. Let p(k) = -k - 1. Suppose -72*x - 20 = -68*x + 3*q, 30 = -2*x - 4*q. Give x*i(s) + 4*p(s). 44*s + 2 Let g be 23 + (-9 + -161)/10 + (-4)/2. Let x(n) = 6*n + 3*n + 0 - 4. Let v = -156 + 101. Let d(q) = 125*q - 55. Give g*d(a) + v*x(a). 5*a Let w = 7 + -8. Let g(a) = -a**3 + a**2 - 1. Let j(v) = -2*v**3 + 3*v**2 - 3. Suppose 2*m - 5 = f, -m + 0*f = -f. Suppose -14 = -m*k + 1. Give k*g(o) + w*j(o). -o**3 Let m(o) = -6*o**2 - 10*o - 3734. Let q(x) = 3*x**2 + 6*x + 1868. Give 3*m(j) + 5*q(j). -3*j**2 - 1862 Let b(o) = 109566*o - 63. Let c(f) = 8767*f - 5. What is 5*b(p) - 63*c(p)? -4491*p Let p(w) be the second derivative of 3*w**5/20 + w**4/3 - w**3/3 - 612*w + 4. Let g(d) = d**3 - d**2 + d. Determine 2*g(o) + p(o). 5*o**3 + 2*o**2 Let f(g) = -g + 1. Let n be -4*(-6 - (-138)/24). Let h(p) = -6*p + 6. Determine n*h(i) - 5*f(i). -i + 1 Let a(w) = -32*w - 6. Suppose -o - 1 = s, 7*o - 22 = 9*o - 2*s. Let p(l) = -31*l - 7. Calculate o*p(j) + 7*a(j). -38*j Suppose 0 = 3*r - u - 24, -5*r + u - 8*u + 14 = 0. Let t(f) = -6*f**3 - 7*f**2 + 5. Let z(o) = 9*o**3 + 10*o**2 - 7. Let n = -3 + 8. Calculate n*z(q) + r*t(q). 3*q**3 + q**2 Let s(p) = -p - 1. Let u be (-7)/(-7)*-1*(2 - 91). Let o(n) = -176*n + u*n + 84*n - 6. Determine -2*o(r) + 10*s(r). -4*r + 2 Let y(z) = -41*z**3 + 5*z**2 + 36*z - 19. Let s(o) = -40*o**3 + 4*o**2 + 35*o - 16. Determine 7*s(u) - 6*y(u). -34*u**3 - 2*u**2 + 29*u + 2 Let p(n) = -31*n + 1239. Let y be p(40). Let l(v) = -v - 1. Let d(w) = -w**2 + 6*w + 3. Calculate y*d(a) - 4*l(a). a**2 - 2*a + 1 Suppose -52 = 3820*l - 3872*l. Let r(u) = 35*u - 5. Let p(f) = f + 1. Calculate l*r(d) + 3*p(d). 38*d - 2 Let k(i) = 2*i**3 - 4*i**2 - 4*i - 3. Let c(m) = 2*m**2 - 3*m - 2. Let f(s) = -s**3 - 4*s**2 + 11*s + 8. Let p(h) = -3*c(h) - f(h). Calculate -4*k(g) + 7*p(g). -g**3 + 2*g**2 + 2*g - 2 Let p(t) = 7*t - 1713689*t**2 + 856853*t**2 + 856850*t**2. Let f be (-1)/(-5) - 48/15. Let i(d) = -7*d**2 - 3*d. Calculate f*p(j) - 7*i(j). 7*j**2 Let c(g) = 2*g**2 + g + 2. Let f(t) = -483*t**2 + 5*t + 16. What is 5*c(i) - f(i)? 493*i**2 - 6 Let t(b) = 3. Suppose 22 = 2*p - 2*k, 0*k - k = 2*p - 16. Let w(i) = -5*i + 46. Let z be w(p). Let m(l) = -l**2 + l + 1. Determine z*t(s) - 2*m(s). 2*s**2 - 2*s + 1 Let r(g) = 1827*g - 32. Let q(t) = -5477*t + 88. Calculate 4*q(j) + 11*r(j). -1811*j Suppose 2*t - 42 = 4*d, 31*d + 42 = 30*d + 5*t. Let u(r) = -14*r + 3. Let v(q) = 21*q - 5. Calculate d*u(a) - 5*v(a). -7*a + 4 Let h(p) = 4*p**2 + 6*p + 66. Let r(z) = -10*z**2 - 15*z - 165. Calculate 12*h(n) + 5*r(n). -2*n**2 - 3*n - 33 Let t(l) = 3*l**3 + 2*l**2 - 2. Let o(i) = -16*i**3 - 11*i**2 + 11. Suppose 7*v + 236 = 8*v - 3*p, -p = 1. Suppose -6*m - 257 = -v. What is m*o(w) - 22*t(w)? -2*w**3 Let y(k) = -2382*k + 5. Let w(v) = -4775*v + 9. Calculate 4*w(p) - 7*y(p). -2426*p + 1 Let a(b) = -163*b**3 + 18*b**2 + 9*b. Let t(d) = 165*d**3 - 15*d**2 - 8*d. What is 5*a(q) + 6*t(q)? 175*q**3 - 3*q Let i(n) = n**3 - 5*n**2 - 42*n + 193. Let h be i(7). Let g(b) = -1148*b - 112. Let v(r) = 31*r + 3. Give h*g(t) - 112*v(t). -28*t Let i(x) = -31*x**3 + 5*x**2 + 3*x - 2. Let s(g) be the second derivative of -23*g**5/5 + 7*g**4/6 + 4*g**3/3 - 3*g**2 + 6829*g. What is 8*i(a) - 3*s(a)? 28*a**3 - 2*a**2 + 2 Let l be 18/8 - (-6)/(-24). Let p(o) = 5*o**l + 35 - 32 + o + 2*o**2. Let d(k) = 22*k**2 + 4*k + 10. Determine -3*d(s) + 10*p(s). 4*s**2 - 2*s Let f(y) = 348*y**2 - 13*y + 17. Let q(j) = 61*j**2 - 2*j + 3. Let d(z) = 3*f(z) - 17*q(z). Let o(t) = 20*t**2 - 15*t. Give 17*d(n) - 6*o(n). -n**2 + 5*n Let h = 122 - 146. Let p be (16/h)/((-2)/(-9)). Let t(a) = -5*a**2 - 3*a + 3. Let v(z) = -z**2 - z + 1. What is p*v(s) + t(s)? -2*s**2 Let d(r) = 39*r + 39. Let c(j) = -78*j - 74. Give 3*c(z) + 7*d(z). 39*z + 51 Let g(t) = -6*t + 19. Let m(j) = -j - 2. Let v(b) = -g(b) - 5*m(b). Let a(o) = 119 - 33 - 24 - 31 - 10*o - 23. What is 7*a(d) + 6*v(d)? -4*d + 2 Let u(y) = y**3 + 10*y**2 + 38*y + 180. Let g be
{ "pile_set_name": "DM Mathematics" }
+ 2 - (-28 + (-7 - -31)) 7 What is (-23 - -2) + (-478 - -498)? -1 What is (5 - (-13 - -17)) + 1? 2 Evaluate -3 + -9 + (-7 - -12) + -6. -13 -19 + 3 + -4 - (3 + (0 - 0)) -23 What is -39 + (24 - 11) - -11? -15 (-14 - -3 - -8 - (-5 + 0)) + -13 -11 What is the value of -6 - (-10 - -5) - -16 - (5 + -2)? 12 Calculate 7 + 1 + 12 + (6 - (1 - -10)). 15 Evaluate 2 + 4 + -2 + (1 - 1) + 10. 14 What is 28 + 0 - (187 + -170)? 11 Calculate 26 + 15 + -16 - 28. -3 Calculate -22 + 9 + -4 + (-5 - -9). -13 What is the value of (3 - (-11 + 12) - 35) + 6? -27 Calculate -1 + 32 + -25 - -4. 10 What is the value of 6 - (14 - (-4 - -6)) - -13? 7 What is 0 + -7 + 8 - 7 - 0? -6 Calculate -2 + -1 - (-10 + -9 + 16) - 12. -12 Calculate 19 - (-6 - (-1 + (2 + -18 - -4))). 12 0 + -6 + 45 + -43 + 7 3 Calculate (30 + 2 + 2 - 7) + -1 + -9. 17 What is (-2 - -6 - -4) + 2? 10 Evaluate -5 + 1 - (-126 + 112). 10 What is the value of (-103 - -107) + -2 + 4 + -32? -26 What is the value of -19 - -8 - (21 + -21 + -9)? -2 What is the value of -1 - (35 + -13 - 10)? -13 -1 + 7 + -2 - 12 -8 Calculate -1 + (-3 + (-18 - -6) - (-8 - -9)). -17 What is -6 + 1 - 1 - (-35 + 51 - 2)? -20 What is the value of (-23 - -56) + -28 + 10? 15 (0 - -6) + 17 + -34 + -3 + -19 -33 -20 - ((11 - -4) + -24) -11 Calculate (3 + -7 + 4 - -7) + -8. -1 Evaluate -14 + (-4 - 13 - -25). -6 What is the value of 10 - -2 - (11 - 10 - -5 - 5)? 11 Calculate 4 + (-16 - (7 + -15)). -4 Evaluate -1 - (-15 - (-20 - -17)) - -3. 14 Calculate -1 + (11 - 7) + (-1 - 0) - 8. -6 -1 + -20 + ((-5 - 13) + -4 - -30) -13 What is the value of 125 - 125 - (0 - -3)? -3 Calculate 25 + -6 + -10 + -14. -5 What is (-1 - (-1 - (-11 + 7))) + 18 + -6? 8 -22 + (0 - -11) + -15 + 0 + 10 -16 What is 1 - (3 + 3 - -1)? -6 What is the value of (82 - 93) + (-5 - (1 + (-3 - -2)))? -16 Calculate 2 + (-4 + -2 - 1) - 0. -5 (-1500 - -1504) + (-23 - (0 + 1)) - 8 -28 Calculate (-18 + 36 - (-3 + 7)) + -2. 12 Evaluate (48 + -51 - (1 + 4)) + (0 - -3). -5 (0 - 0) + (78 - 75) + 1 + 17 21 Calculate -14 + (6 + (4 - -1) - 0). -3 6 + 2 + -15 + 8 1 What is -7 - (7 + -14) - (-7 + 2 + 0)? 5 25 - (-2 - (-8 - (-6 - (-6 + 0)))) 19 (0 + -3 - (-2 - 3)) + -2 - -2 2 What is (-9 + 5 - -46) + -6 + (-4 - 4)? 28 Evaluate (-9 - -21) + -2 + -3. 7 What is (-4 - -7 - 15 - -42) + -10? 20 -1 - (-1 + 0 - (-13 + -17 + 35)) 5 Evaluate 223 + -232 - (-1 + 0). -8 What is the value of (-3 - (-4 + 1)) + 83 + -96? -13 Calculate 6 + 0 + 3 + (14 - 19 - -5). 9 What is the value of 2 - (-13 - (2 + -24)) - (-1 - -2)? -8 Calculate 1 + (-6 - -1) + 6 - (-4 - -20). -14 What is the value of 28 - (16 - (0 - -2)) - -10? 24 Calculate 26 + -16 + -10 + 8. 8 What is the value of 0 - (0 - -2) - (17 - 43 - -13)? 11 Evaluate (-3 - 27) + (50 - -5). 25 Calculate -1 + 18 + -7 + 11 + -17 + 9. 13 What is 3 - -29 - (46 - -4)? -18 Calculate (7 - (-8 + 12)) + (-1 - 4). -2 What is the value of 39 - (-24 - -44) - -9? 28 What is -1 - 1 - (-156 + 150)? 4 What is (-21 + 1 - 0) + (-983 - -992)? -11 3 + 4 + 6 + 4 + -11 6 Evaluate 29 + -11 - 37 - 9. -28 Evaluate (7 - (-16 - (-14 - 11))) + -8. -10 What is 25 + 2 + -7 + 9 + -9? 20 Evaluate -6 + (-11 + 9 + -2 - (0 + 6)). -16 Calculate (-2 - -20) + -52 + 17. -17 Evaluate (11 - (-2 + 8)) + (16 - 23). -2 Calculate 27 + -5 + (2 - -5) + -12. 17 Evaluate (0 - 2 - (0 + -19)) + -6 - 3. 8 Calculate (21 + -9 + -8 - 9) + (-1 - -1). -5 -17 + -6 + 1 + 0 - -17 -5 What is the value of (-29 - (28 - 43)) + (5 - 3)? -12 19 - (-1 - -12) - (9 + 0) -1 -9 - (-7 - (1 + -4)) -5 -3 + (29 - 16 - 3) 7 What is the value of 6 + -2 + (42 - 27) + -4? 15 10 - (-11 + (-10 - -31)) 0 What is 0 + -13 + 435 + -412? 10 -1 + (13 - 10) + (6 - 2) + -13 -7 Evaluate -19 + 4 + (16 - 5). -4 -139 - -109 - (-2 - 43) 15 Evaluate 88 + -3 + -59 + (5 - (2 + 0)). 29 Evaluate -19 - (-2 + 3 + -7). -13 1 + (-11 - -2) - (44 + -56 + 4) 0 -4 - (-28 + -9) - 33 0 What is the value of 1 - (2 - 1 - (5 - -5))? 10 Calculate -1 - (1 + -2 + 13 + (-4 - 8)). -1 What is 50 + -21 - 25 - -29? 33 Calculate (86 - 78) + (-1 + -2 - -11). 16 -11 - (-8 - (-5 - (5 - 2)) - -3) -14 What is the value of -72 + 42 + (2 - (0 + -2))? -26 Calculate (13 + -30 - -5) + -7. -19 -5 + -8 + 19 + -9 + 14 11 Calculate -16 + 1 - ((25 - -3) + -71). 28 What is the value of 28 - 33 - 17 - -15? -7 Calculate -9 + 10 + (-3 - 1 - 2). -5 19 - (-3 + 9 + -1 + (1 - 14)) 27 Evaluate -73 - -66 - ((-1 - -1) + -2 - -2). -7 What is -16 + 0 + 0 - (852 - 840)? -28 Evaluate -16 + -2 + 39 + (-8 - -1). 14 -8 + -1 + -2 + 12 1 What is the value of 0 - 18 - (9 - (5 + -2 + 12))? -12 Calculate (8 - 4) + 2 + -133 + 126. -1 Evaluate 2 - 9 - (-8 + 0 - 2). 3 Evaluate -10 - (4 - (7 - 10 - -7)). -10 What is 1 + (8 + 0 - (127 + -115))? -3 Evaluate -10 - (-8 - (-14 + 10 + 17)). 11 Evaluate 2 + 0 - ((-84 - -71) + 21). -6 What is (24 - (22 - -10)) + (2 - 0) + 3? -3 3 + 14 - ((-2 - (-12 + 5)) + -9) 21 Evaluate 0 + 2 + (16 - 1) + (81 - 86). 12 Evaluate -13 + (-3 + -9 + 3 - -38). 16 3 - (1 - (-4 + -2 - -3)) -1 Calculate (-19 - -5) + 1 + -2. -15 What is the value of (0 + -15 - -43) + (3 - 12)? 19 Evaluate -8 + (2 - 2) + -4 + 9 - 8. -11 Evaluate 3 + 3 + -11 + (2 - 2) + 8. 3 Calculate 8 + -6 - (21 + -10). -9 What is the value of -5 + 14 + (29 - 18) + -18? 2 What is -5 + 3 + -3 + -8 + 9 + -3? -7 -4 - (-5 + (1 - -3)) - (-5 - -3) -1 -7 - (-16 + 29 + -42 - 9) 31 What is the value of -3 - (-12 - -11 - 9)? 7 10 - (-4 + -2 + 10) 6 0 + (-180 - -213 - (16 - 1)) 18 Calculate -3 - (-8 - -15) - -17. 7 Evaluate -22 - ((-12 - 21) + -9). 20 Calculate -1 + -3 + (-2 - 4). -10 -13 - (-2 + -7 - (-49 + 40)) -13 What is -33 - -44 - (15 + -19)? 15 What is -9 + 45 - (-4 + (8 - (2 - 3)))? 31 What is (-52 - -16) + 19 - -21? 4 Calculate -14 + (-3 + 17 - -2). 2 What is 1 - -9 - (-12 + -29 + 66)? -15 Calculate -5 + (-9 - -4) - -19 - (-1 - -6). 4 What is -5 + 1 - (23 - (-22 + 43))? -6 Calculate -17 + (22 - 18) - 0. -13 Calculate 26 + (11 - 15 - 8) - -11. 25 What is the value of -2 + 3 - 8 - (-48 + 57 - 10)? -6 What is the value of -10 - (-15 + 11 + -10)? 4 Calculate -216 - -223 - (5 + 2). 0 -2 + (-22 - -28) + (3 - 9) -2 Calculate 189 + -180 - (-3 + 0). 12 What is the value of 8 - 13 - (20 + -14)? -11 Calculate -4 - -3 - -4 - ((26 - 0) + -45). 22 What is -2 - (1 - (14 + -16 + 12))? 7 What is the value of 22 + (42 + -9 - 36)? 19 What is the value of 35 + (-14 - 8) + (2 - 2)? 13 (38 - 0) + 1050 + -1084 + (-1 - -33) 36 What is 13 - (-6 + 0 + 3 + 6)? 10 Calculate -21 - -14 - 13 - -5. -15 What is the value of 6 + 13 + -16 + 2? 5 Evaluate 7 + -7 + 12 + -5 + -17. -10 What is the value of (49 - 53 - (-6 + -2) - -4) + -7? 1 Calculate -14 + -89 + 62 + 20 + -1. -22 Evaluate -3 + (13 - (-15 + 14)). 11 What is (-1 - -2) + 12 + 2 + -11 + 21? 25 Evaluate (-27 - -8) + 6 + 18. 5 0 + 2 - -4 - (6 - (-4 - -7)) 3 What is 14 - (8 - (18 + -15)) - (-1 - -3)? 7 Calculate -2 + 1 - (-44 + 51). -8 Evaluate 214 - 272 - (-28 + -3). -27 Evaluate -13 + (3 - (8 + -19)). 1 Evaluate 8 + -7 + 12 - 4. 9 Evaluate 15 - (-5 - (-6 + (8 - 9))). 13 What is the value of (0 + -5 - -17) + (-41 - -9)? -20 Calculate (30 - 25) + -3 + 0 + (4 - -1). 7 0 - -1 - (-2 - -9) - (-430 - -422) 2 Evaluate -2 + 13 + 1 - (235 + -246). 23 What is -17 - (-16 + 1 - (582 - 578))? 2 -17 + (-44 + 25 - -46) 10 Calculate -275 + 269 + (-2 - 12). -20 Evaluate 2 - 0 - -11 - (-1540 + 1535). 18 What is the value of 140 + -156 + (1 - -4)? -11 11 - (1 + -7 + 6) 11 Evaluate (6 - -1 - ((28 - 18) + -8)) + -13. -8 Evaluate -2 - 3 - (-16 + 13). -2 What is the value of -22 + (32 - (-12 + 23)) + -10? -11 What is the value of 24 + (-7 - (-15 + 19 - 0))? 13 Evaluate -21 - (-10 - -8) - -13. -6 Evaluate (-14 - -8) + -2 + 2 + 39 + 1. 34 Calculate -13 - 1 - (-786 - -794). -22 Evaluate 2 + (-5 - 0) - (2 - -6). -11 -27 + 73 + -19 + 1 28 What is the value of -17 - (28 + -21 + -17)? -7 -3 + (-41 - -35) + (1 - (-3 + 3)) -8 Evaluate 4 + (-14 - 0) + -2 + 9. -3 (-46 - -54) + (1 - 22) -13 Evaluate -11 - -1 - (24 + 19 + -46). -7 Evaluate 28 + -1 + -9 + (119 - 111). 26 Evaluate 37 - 2 - (-3 + 13 + -15 + 0). 40 What is the value of -6 + -38 + 33 + 1 + 10? 0 What is -3 - -2 - (-59 + 83) - -13? -12 -31 - 0 - (-53 - -29) -7 What is the value of (-4 - (6 - (2 + 9))) + -14? -13 Calculate ((3 - 1 - 7) + -1 - -14) + 7. 15 Evaluate (0 - (-3 - -2)) + 624 + -627.
{ "pile_set_name": "DM Mathematics" }
m in decreasing order. 2, -2, m Let c = -8.7 + 9. Let z = -0.1 - c. Let n = 0.4 + -0.1. Sort n, z, -5 in decreasing order. n, z, -5 Let d = 71 + -71.066. Let n = d + -4.934. Put -2/11, -2/5, 2/3, n in ascending order. n, -2/5, -2/11, 2/3 Let l(k) = 15*k + 199. Let v be l(-13). Let h = -3 + 1. Sort h, v, 2. h, 2, v Let t be 16/24 - (-53)/(-3). Put t, -5, -4, 1 in descending order. 1, -4, -5, t Let y(w) = w**3 + 2*w**2 - 3*w - 11. Let q be y(-2). Sort q, -1, 2, 1 in decreasing order. 2, 1, -1, q Suppose -15 = -2*y + 5*u, -2*y + u + 13 = -2*u. Let d be (y - (3 + 2))/3. Sort 5, d, -2, -4 in decreasing order. 5, d, -2, -4 Suppose 0 = 70*n - 55*n + 45. Let o = -3 - 2. Let a = o - -4.5. Put 0, a, n in increasing order. n, a, 0 Suppose -g - 463 = -460. Sort 3, 5, g in ascending order. g, 3, 5 Let q be (-18)/4*16/6. Let b = -8 - q. Suppose -5*m - 40 = -4*w, 7*m - b*w = 3*m - 36. Sort 1, m, 4 in ascending order. m, 1, 4 Let q = -288 - -318. Sort 1/3, q, -1/3 in descending order. q, 1/3, -1/3 Let i = -0.18 + 0.58. Let c = -1041/4 + 259. Let z = 19/12 + c. Put -0.4, z, i in increasing order. -0.4, z, i Let a = -2418.7 - -2419. Sort -13, -9, a. -13, -9, a Let m(q) = -6*q + 25. Let d be m(4). Let i be 16/(-105) + 12/42. Put d, 0, i in increasing order. 0, i, d Suppose -14 = -34*l - 82. Put l, 5, 7, -3 in decreasing order. 7, 5, l, -3 Let m = -2.01 + 0.01. Suppose 57*u = 114 - 399. Sort m, u, -4/3 in decreasing order. -4/3, m, u Let d be ((-28)/(-21))/((-6)/(-9)) + 4. Put d, 2, -4, 9 in decreasing order. 9, d, 2, -4 Suppose 0 = 3*x + 2*f - 13, 14*f - 11*f = x + 14. Sort -11, x, 5, 0 in ascending order. -11, 0, x, 5 Let r be (-12 + 1 - -11)/(-1). Put 3, 8, r, -1 in decreasing order. 8, 3, r, -1 Let u(n) = n**2 + 18*n - 3. Let l be u(-18). Sort l, -2, 0 in decreasing order. 0, -2, l Let v be 53*155/360 - -4. Let o = 238/9 - v. Sort -5, 2/13, o in descending order. 2/13, o, -5 Let z = 23 - 19. Suppose 5*g - 5*b = 0, -2*g - b - 2*b + 15 = 0. Sort g, -8, z. -8, g, z Let d = -17 - -12. Let n(z) = z**3 - z**2 - z. Let h be n(2). Let v(c) = c**2 - 3*c - 35. Let j be v(8). Put j, h, d in increasing order. d, h, j Let i = -311 + 316. Sort -4, i, -5, -6 in decreasing order. i, -4, -5, -6 Let f be 309*(-1 - (-15)/9). Let d = f + -1852/9. Let w be (-4)/4 + (-15)/(-9). Put d, -6/11, w in decreasing order. w, d, -6/11 Suppose 0 = 3*o - 4*o + 4. Put -2, o, 5 in descending order. 5, o, -2 Suppose 0 = -5*m - p + 7, 3*p - 3 = 5*m - p. Sort m, -43, 5 in ascending order. -43, m, 5 Let w = 143 + -132. Put w, -5, 5, -2 in increasing order. -5, -2, 5, w Suppose 68*m - 26 = 94*m. Put -8, m, -3 in descending order. m, -3, -8 Let i be 112/80 - (-2)/(-5). Put 5, -2, i, -5 in descending order. 5, i, -2, -5 Let i be (15/(-20))/(6/(-16)). Let x be 22/5 - ((-48)/30 + i). Sort -1, 0, x, 1 in ascending order. -1, 0, 1, x Let m be (-4*55/44)/1. Let j(q) = q**2 + 3. Let k be j(0). Put m, -1, -6, k in ascending order. -6, m, -1, k Suppose 15*s - 18*s = 0. Suppose 4*z = 8 - 20. Put s, 13, -5, z in descending order. 13, s, z, -5 Let j = -12.43 + 9.43. Put 1, -7/9, -2/13, j in descending order. 1, -2/13, -7/9, j Let f = -19 + 21. Let c = 69 + -351/5. Sort -4, f, c in descending order. f, c, -4 Let z be ((-8)/5 - -2) + 104/40. Let c be 12/7 + 4/14. Sort z, 5, c, -2 in decreasing order. 5, z, c, -2 Let t = -610.23 - -610. Sort 0.4, t, 1/2. t, 0.4, 1/2 Let t = -71 - -57. Let v be t/3 + 0 - (-18)/27. Sort v, 2, -5, -3 in increasing order. -5, v, -3, 2 Let p = -180 + 180. Put -3, p, 6 in ascending order. -3, p, 6 Let p be 4*(-1)/(-12)*0. Let y be ((-1)/2)/((-22)/132). Put y, -2, p in decreasing order. y, p, -2 Let z = 75.8 - -20.2. Let d = 98 - z. Put -0.2, d, -6/5 in increasing order. -6/5, -0.2, d Let p = -226/9 + 76/3. Let b = 0.11 + -0.4. Let o = b + 0.33. Put -0.2, o, p in increasing order. -0.2, o, p Let g = 6 - 10. Let i = -13 - -8.7. Let n = 4 + i. Put n, g, -2/9 in decreasing order. -2/9, n, g Let m = -56.2 - -55.98. Sort 3, -1, -2, m in decreasing order. 3, m, -1, -2 Let v = 53 + -49. Let a = 0.48 - 0.5. Sort a, v, 5 in ascending order. a, v, 5 Let r = -197 - -206. Sort 0, -3, -5, r. -5, -3, 0, r Let p be (-4)/(-10) + 69/15. Suppose p*i + 13 = -2. Sort 1, 3, -5, i. -5, i, 1, 3 Let b be (0 + -4)*12/(-16). Let p be ((-16)/(-4) - -1) + -4. Sort -4, -1, b, p. -4, -1, p, b Let f = 12 - 12. Let b = -471/8 + 59. Let w = 277 - 1936/7. Sort w, b, f in ascending order. f, b, w Let h = -0.03 + 0.43. Let l = -162 + 2108/13. Put l, h, -1.7 in decreasing order. h, l, -1.7 Let h be (-1 - 0)*(-2 + 0). Let y(u) = 7*u - 17*u + 0*u + 9*u + 9. Let a be y(8). Sort -3, a, h. -3, a, h Let f = -2379/4 + 594. Put -4, f, 1, -3/5 in descending order. 1, -3/5, f, -4 Let d be 3/(18/3 - 5). Sort -4, d, 1/7 in ascending order. -4, 1/7, d Let q = 13 - 13. Suppose 2*m = -2*m + 8. Let f = 3 + m. Put f, -2/3, q in ascending order. -2/3, q, f Let z be 1/3 - 3/9. Let q(k) = -k**2 + 31*k - 238. Let n be q(16). Put n, -0.04, z, -0.3 in ascending order. -0.3, -0.04, z, n Suppose -21 = -4*k + 7*k. Sort 2, 10, k in descending order. 10, 2, k Suppose 8*s + 12 = 4*s. Put -17, 0, s in increasing order. -17, s, 0 Suppose 3*m + 2*z = 30, 5*z - 31 = 27*m - 29*m. Sort m, -5, 2 in descending order. m, 2, -5 Let l = -78.8437 - 0.1563. Sort -5, l, -2/7, 1/4 in ascending order. l, -5, -2/7, 1/4 Suppose 3*t = 4*k - 6 - 3, 0 = 5*k - 15. Let u(y) = -y**2 + 5 + 0*y - y + 0*y. Let z be u(-3). Put t, 3, z in descending order. 3, t, z Let u(s) = s**3 - 7*s**2 - 6*s - 9. Let m be u(5). Let a = 89 + m. Put 2, a, 4, -1 in descending order. 4, 2, a, -1 Let l = 0.6 - 0. Let j = 0.332 + 0.168. Sort 1/4, l, j in decreasing order. l, j, 1/4 Let r = 930 + -926. Sort -3, -7, -12, r in descending order. r, -3, -7, -12 Suppose 36*m - 37*m - 4 = 0. Let o be 1/(-2)*0/(-3). Sort m, o, 5. m, o, 5 Let u = 29 - 52. Let f = -26.6 + 0.6. Let k = f - u. Put 2/3, k, -2/21 in decreasing order. 2/3, -2/21, k Suppose -5*l + 8*a + 83 = 4*a, 15 = 5*a. Suppose 3*m - 27 = -3*d, 3*d + m = -0*m + l. Put d, -1, 1, 8 in descending order. 8, d, 1, -1 Let s be ((-9)/(-6))/((-3)/4). Sort 2, s, -74. -74, s, 2 Let n(l) = l**3 - 10*l**2 - 12*l + 82. Let v be n(14). Sort -2, v, 0, 3 in decreasing order. v, 3, 0, -2 Let g be (-2 + 1)/((-9)/45). Let y(c) = 2*c**3 + 8*c**2 - 8*c + 11. Let r be y(-5). Let o = -1 + 1. Put r, g, o in decreasing order. g, r, o Let n = 4.078 - 4. Let v = n - -3.922. Sort v, 0.5, 5, 1 in descending order. 5, v, 1, 0.5 Let s = 336 - 341. Sort s, 3, 0.1 in ascending order. s, 0.1, 3 Let i = -149.37 - 20.03. Let g = i + 169. Let u = 4 + -6. Sort -4/5, g, u in decreasing order. g, -4/5, u Let p = -6 + 9. Let q be ((-4)/(-12))/((-1)/107). Let a = -36 - q. Put 4/9, a, p in decreasing order. p, 4/9, a Let h be -2 - -4 - (-8)/(-20)*5. Sort -1, h, 1, 20 in decreasing order. 20, 1, h, -1 Suppose 2*l - 3*t - 8 = t, 4*l - 4 = 5*t. Let w be (24/36)/(l/18). Put 2, 1, w, 4 in decreasing order. 4, 2, 1, w Let h be 3/(-2) + 2/(-4). Let o be (-21)/(-3) - (-1 - -3). Let y be -5*((-20)/(-25) - 2). Put y, o, h in ascending order. h, o, y Let b = -149 - -152. Sort b, 1/8, 4, -0.3 in ascending order. -0.3, 1/8, b, 4 Let s = -3.106 - -6.106. Sort s, 0, 5/2 in descending order. s, 5/2, 0 Let g = 17.3 + -20.3. Sort 0.3, -2, g in descending order. 0.3, -2, g Let h(o) be the first derivative of o**4/4 + 10*o**3/3 + o**2/2 + 14*o + 1. Let i be h(-10). Let l be i/2*(-4)/24. Sort 3/5, -2, l. -2, l, 3/5 Let i = 2/169 - 356/1521. Let x = 70 + -73.7. Let g = 5.7 + x. Sort -5/4, g, i. -5/4, i, g Suppose 5*x - 3*x + 29 = -3*q, 3*q - x + 17 = 0. Let g be (-2 + 1)/(q/21). Put g, 4, -3, -4 in decreasing order. 4, g, -3, -4 Let y(n) = -23*n + 2. Let x be y(2). Let j = -48 - x. Put j, 3, -5, 4 in decreasing order. 4, 3, j, -5 Let g(d) = 14*d + 74. Let c be g(-5). Put -4, c, 3 in descending order. c, 3, -4 Let t(s) = -2*s**3 + s**2 + s - 1. Let o be 4/(-4 + 0)*-1. Let q be t(o). Put 9, 2, q in increasing order. q, 2, 9 Let r(o) = 2*o**2 + 11*o + 8. Let y be r(-5). Suppose 0 = 2*m - 2. Put -12, y, m in descending order. y, m, -12 Let s = 0.081 - 0.101. Let h = -0.2 - -0.18. Let o = s - h. Put 4, -1/4, o in descending order. 4, o, -1/4 Suppose 5*v - 6 - 18 = 4*q, 0 = v - 4*q + 8. Suppose -40 = v*s - 0*s.
{ "pile_set_name": "DM Mathematics" }
. Let t be f(g). Let d = t + -3. What is the greatest common factor of d and 12? 6 Let a = -20 + 21. Calculate the greatest common divisor of 9 and a. 1 Suppose 1 = -2*h + 5. What is the highest common factor of 5 and h? 1 Let z be 1/(-2)*(-6 + 2). Suppose z*o - 1 = o. Suppose 2*d = -3*q + 13, 3*q - 25 = -3*d - 4. Calculate the greatest common factor of o and d. 1 Let s be (-2 - -5)*(-26)/(-3). Calculate the highest common divisor of s and 13. 13 Let x(w) = -w**2 + 7*w. Let k = -3 + 2. Let t(j) = 5*j**2 + 1. Let m be t(k). Let s be x(m). What is the greatest common divisor of 9 and s? 3 Let q(d) = -53*d - 6. Let w(i) = 18*i + 2. Let t(c) = 3*q(c) + 8*w(c). Let p be t(-6). Calculate the highest common factor of p and 11. 11 Suppose 3 = 5*u + 3*p, 4*p + 7 = -9. Let w be (-1*45)/u*1. Let h be (-426)/w - (-2)/(-5). What is the greatest common factor of h and 7? 7 Let z = 110 + -108. Let u be (70/(-4))/((-1)/2). Let x = u + -25. Calculate the highest common factor of z and x. 2 Suppose -4*o + 8*o - u - 28 = 0, -2*o + u + 14 = 0. Suppose 2*q + o = 3*q. What is the highest common factor of 49 and q? 7 Suppose 239 = 4*p - 3*z - 551, -3*p + 4*z + 596 = 0. Calculate the highest common factor of 49 and p. 49 Let i(z) = 2*z**2 - 27*z + 20. Let g be i(14). Calculate the greatest common factor of 187 and g. 17 Let g(o) = o**2 + 3*o - 21. Let u be g(11). What is the greatest common divisor of u and 7? 7 Suppose -60 = 2*w - 6*w. Let i be -2 + (3 - (-18 - -4)). Calculate the highest common factor of w and i. 15 Suppose -4*q = -7 - 1. Suppose -g + 168 = q*g. What is the highest common factor of g and 14? 14 Let s be (2*(-16)/5)/(12/(-30)). Calculate the highest common factor of s and 80. 16 Let i(t) = t**3 + 11*t**2 - 3*t - 2. Let m be i(-9). What is the highest common divisor of m and 17? 17 Let n = -1 - -5. Suppose -2*z + 7 = -3*m - 28, -3*m - 45 = -3*z. Calculate the greatest common divisor of z and n. 2 Let t = 23 + -20. Calculate the highest common factor of 18 and t. 3 Let j = -43 - -83. Calculate the greatest common factor of 10 and j. 10 Let r be (-4)/(-18) - (-38)/(-9). Let j be ((-9)/r)/((-6)/(-48)). Calculate the greatest common divisor of 36 and j. 18 Suppose -2*m - 1 = 4*n + 11, 2*m - n = -7. Let k = m + 11. Let o be ((-14)/(-3))/((-8)/(-96)). What is the greatest common factor of k and o? 7 Suppose -1 - 4 = -h. What is the greatest common divisor of h and 2? 1 Let z(l) = -7*l - 102. Let m be z(-16). Suppose 3*n - 3*w = -w + 49, n - 5 = -5*w. What is the greatest common divisor of m and n? 5 Let d(y) = 4*y - 20. Let w(n) = -n + 1. Let t(u) = -d(u) - 5*w(u). Let g be t(-13). What is the highest common factor of g and 22? 2 Let x(d) = 14*d. Suppose -10 = 4*q - 2, 5*g = 4*q + 28. Let s be x(g). What is the highest common factor of 8 and s? 8 Suppose 141*d = 140*d + 29. What is the highest common factor of d and 203? 29 Let o = -9 + 36. Calculate the greatest common factor of o and 3. 3 Suppose -30 = -0*b - 5*b. Calculate the greatest common divisor of b and 66. 6 Suppose 0*c + w - 3 = -2*c, -4*c - 4*w = -12. Suppose 216 = -c*n + 3*n. Calculate the highest common divisor of 48 and n. 24 Let b = -107 - -179. Suppose u + b = 4*u. Calculate the highest common factor of u and 8. 8 Let g be (-585)/(-6) - (-1)/2. Suppose -4*y - 10 = g. Let o be (-2)/5*(2 + y). Calculate the highest common factor of o and 40. 10 Let y(o) = -o + 11. Let f be y(8). Let v(d) = -7*d**2 - 3*d + 2. Let n be v(f). Let u be 5/20 - n/8. What is the highest common divisor of u and 9? 9 Suppose -4*z - 64 = -4*y, 3*z - z = -3*y + 23. Let r(w) = 170*w + 1. Let n be r(1). Let p = n - 116. Calculate the highest common factor of y and p. 11 Suppose -5*n + 10*n - 630 = 0. What is the highest common divisor of n and 14? 14 Let q(g) = g**2 - 3*g - 11. Let f be q(6). Suppose -30 = 3*h - 87. Let d = 82 - h. What is the greatest common factor of f and d? 7 Let d(t) = -10*t - 37. Let p be d(-6). Calculate the highest common factor of p and 23. 23 Suppose 2*b = 7*b - 305. Let j = b - 35. Calculate the highest common divisor of j and 52. 26 Suppose -4*v + 1 = 4*s - 11, 4*v + 20 = 0. Calculate the greatest common factor of s and 64. 8 Suppose 210 + 78 = 4*h. Let a(b) = -b**2 - 11*b - 6. Let j be a(-3). Calculate the highest common factor of j and h. 18 Let o(n) = -n + 1. Suppose 3*a + 47 = 5*p, 5*a - 5*p = -8*p - 67. Let z be o(a). What is the greatest common factor of 3 and z? 3 Let k(l) = l - 4*l - 1 + 0*l. Let u be k(-3). Suppose -n = -3*n + 5*z + 90, 0 = -3*n - 4*z + 112. Calculate the highest common factor of u and n. 8 Let o(a) = a**3 + 6*a**2 + 2*a - 5. Let h be o(-5). Calculate the highest common factor of h and 10. 10 Let n(x) = -x**2 - 3*x + 7. Let t be n(0). Calculate the highest common divisor of 77 and t. 7 Let u be ((-6)/(-18))/((-1)/(-618)). Let o = u + -121. Calculate the highest common divisor of 34 and o. 17 Suppose b - 2 = -4, 5*p + 4*b - 277 = 0. Suppose -f - 4*y = 4*f - 202, -2*f = 2*y - 82. Calculate the greatest common factor of p and f. 19 Let q = -335 - -431. Suppose 6*u - u = 60. Calculate the greatest common divisor of u and q. 12 Let c = 23 + -13. Suppose 2*y = -y - 60. Let z be y*((4 - 2) + -4). Calculate the greatest common factor of c and z. 10 Let m = 0 - -9. Suppose 3*a = -0*a - m. Let b be 3/(-9) - 28/a. Calculate the greatest common factor of b and 18. 9 Let a be (-416)/(-9) - 30/135. Calculate the highest common factor of 23 and a. 23 Let h = -14 - -16. What is the greatest common factor of h and 14? 2 Let p be -3 - (0 - -2)*-1. Let f = 17 + p. Calculate the greatest common factor of f and 32. 16 Let y be 6 + 1191/12 - (-2)/(-8). What is the highest common factor of y and 42? 21 Let m be ((-30)/24)/(3/108*-1). Calculate the greatest common divisor of m and 225. 45 Suppose -4*u + 13 = 5*j, -2*u + 8 = 3*j + 1. Let f be (1/(-4))/(3/(-24)). Suppose f*w = -2*w + 16. Calculate the greatest common divisor of w and u. 2 Suppose -2*t + 0*o + o + 247 = 0, 0 = 5*t - 3*o - 620. What is the greatest common divisor of t and 11? 11 Let d = -190 + 135. Let r be 2/(-4) - d/(-2). Let x = r - -48. Calculate the greatest common divisor of x and 40. 20 Let w(t) = -t**2 - 3*t - 3. Let j be w(-4). Let o = j + 11. Suppose 54 - 6 = o*s. What is the greatest common divisor of s and 48? 12 Let g(u) = -9*u + 1. Let x be g(-6). Let w be 2/(-4)*396/(-9). What is the greatest common factor of w and x? 11 Let n = 33 - 15. Calculate the highest common factor of n and 2. 2 Suppose 5*u - 55 = -2*y, 2*y - 150 = -2*y - 2*u. What is the highest common factor of 240 and y? 40 Let s be 684/10 - 4/10. Let p = s - 45. What is the highest common divisor of p and 161? 23 Let x = -5 + 7. Suppose -2*i - 3*i = 15, 5*y + x*i = 154. Calculate the highest common factor of 8 and y. 8 Let o = 9 - 4. Suppose 2*h = o*h - 117. Calculate the highest common factor of h and 13. 13 Let v(w) = 2*w + 18. Let d be v(11). Calculate the highest common divisor of 16 and d. 8 Let h = 8 + 7. What is the greatest common factor of 60 and h? 15 Let l be (4 + (-104)/(-6))*6. Calculate the greatest common divisor of 32 and l. 32 Suppose -5*w - 5 = -3*o - o, 2*w + 4*o + 2 = 0. Let h be 6 + w + 3 + -3. Calculate the highest common factor of h and 25. 5 Suppose -3*o + 158 + 82 = 0. Calculate the greatest common factor of o and 16. 16 Let v(w) = 3*w**2 - 1. Let k be v(1). Calculate the greatest common divisor of k and 8. 2 Suppose 96 = 4*p - 3*p. Let u be 20/6*p/10. Let t be (-3)/(2/(u/(-6))). Calculate the greatest common divisor of 64 and t. 8 Let z = 46 - 26. Calculate the greatest common divisor of 40 and z. 20 Suppose 0 = 3*f + 15, -49 = -u - 2*u + 5*f. Let k(m) = -m**2 + 7*m + 19. Let p be k(9). What is the highest common factor of p and u? 1 Suppose 2 - 27 = 5*x. Let j = x + 7. Suppose j*i + 2*i = 44. Calculate the highest common divisor of i and 55. 11 Let p = -193 - -469. Suppose f + p = 5*f. Calculate the greatest common factor of f and 46. 23 Let y = 67 - 33. Calculate the greatest common divisor of y and 85. 17 Let p be 3 + (-280)/(-24) + 2/6. What is the highest common divisor of 120 and p? 15 Let k(t) = 0*t**2 - 6 - 9*t**2 - t**3 + 15 + t. Let u be k(-9). Suppose 2*n - 4*v - 2 = -0, v - 1 = u. What is the highest common f
{ "pile_set_name": "DM Mathematics" }
6 0.00424 Calculate -8*-502. 4016 Calculate 24*0.018. 0.432 Product of 0.06 and -1667. -100.02 -1.9 times -49.7 94.43 Product of -0.11 and 855. -94.05 -16 times -0.3 4.8 -90 * -2 180 Product of 0.3 and -47. -14.1 Multiply -0.3 and 7.3. -2.19 -0.51*0.5 -0.255 What is the product of 10700 and -0.2? -2140 Work out 8590 * -0.1. -859 What is the product of 35 and 87? 3045 What is the product of -32.59 and -1? 32.59 What is the product of 32 and -4? -128 -7.69 * -0.6 4.614 Multiply 17.7 and -0.16. -2.832 -5*2391 -11955 1.33*-11 -14.63 What is 0.02 times 195? 3.9 -1.3 * -45 58.5 Multiply 41 and -6. -246 -0.3 * -0.04441 0.013323 159 * -2 -318 0.3 * -101 -30.3 -97.29 times 0.3 -29.187 What is -0.1 times 0.106? -0.0106 4 times 137 548 Calculate -0.2*-102. 20.4 What is 4 times 1258? 5032 Calculate 0.91*1. 0.91 Calculate 1307*1. 1307 -50*-5 250 Work out -0.14 * -9. 1.26 Work out 0 * -0.423. 0 What is -0.4 times 0.0466? -0.01864 Multiply 92.9 and 19. 1765.1 0.0347*-1 -0.0347 1.5 times 0.342 0.513 What is the product of -0.2 and -3.1? 0.62 Work out 2 * 28.4. 56.8 -4*1.26 -5.04 45769*0.2 9153.8 What is 3 times 1652? 4956 10 times -40.8 -408 Work out 471 * -0.02. -9.42 1 times -176 -176 -842 times 0.05 -42.1 0.5*1.4 0.7 1 times 588 588 What is 3.4 times 3? 10.2 Multiply -864 and -0.5. 432 Calculate -4*-9.9. 39.6 Work out 0.3 * 0.94. 0.282 Product of -503 and -0.1. 50.3 What is the product of 299 and -57? -17043 1.1 * 399 438.9 Multiply -0.1 and 53. -5.3 -4 times -109 436 Multiply 267 and -0.4. -106.8 0.4 * -0.0319 -0.01276 Work out -0.3 * 0.3481. -0.10443 Product of 2.2 and -293. -644.6 Product of 1.8 and -41. -73.8 Product of -49 and 145. -7105 Product of -35 and -3.3. 115.5 What is the product of -2818 and 7? -19726 Work out 2.2 * -0.05. -0.11 Product of 0.227 and -0.3. -0.0681 Product of -3 and -116.9. 350.7 1*-729 -729 -5 * 31 -155 Product of 0.05 and -5. -0.25 Product of 2.129 and 0.1. 0.2129 588 * 0.5 294 Calculate -56*0.3. -16.8 558 times -0.2 -111.6 Calculate 3*5.5. 16.5 1.8 times 7 12.6 Work out -5 * 0.0923. -0.4615 Product of 2 and 70. 140 34 * 1.1 37.4 Calculate 3*-459. -1377 -122 * -20 2440 0.3 times 1837 551.1 What is the product of -56 and 2? -112 Calculate 4*23. 92 What is the product of -0.026 and 5? -0.13 -0.61 * 5 -3.05 What is -0.0243 times -0.2? 0.00486 What is the product of -1 and -8.2? 8.2 1.7*0.2 0.34 -0.9*2 -1.8 -43 * -5 215 -2 times -2.35 4.7 -0.005 times 0.5 -0.0025 Work out -0.3 * 0.23. -0.069 Product of 2 and 78. 156 What is 0.1 times 34? 3.4 -0.1 * 37 -3.7 Work out -12 * 57. -684 Product of -45 and 1.05. -47.25 Product of 0 and 0.18. 0 -596*-0.3 178.8 -1.36*0.31 -0.4216 7 * 0.076 0.532 What is the product of 0.047 and 5? 0.235 Product of 0.17 and 4.8. 0.816 Product of -2.58 and -8. 20.64 Product of -26 and -0.03. 0.78 What is 0.4 times 46? 18.4 5.29 * -0.5 -2.645 -0.15*-1.4 0.21 What is -10 times 28? -280 Work out -0.0104 * -67. 0.6968 Product of -2 and 267. -534 Multiply 0.1 and 2.29. 0.229 Multiply -2 and 0.254. -0.508 -4.4 * -5 22 356 * 0.5 178 What is the product of -0.03 and 0.044? -0.00132 What is 1 times -120? -120 Multiply 0.98 and -119. -116.62 -272*5 -1360 -0.3 * -2.44 0.732 10.57 * 6 63.42 Product of -26 and 0.691. -17.966 Product of 3 and -0.49. -1.47 What is 0.01 times 21? 0.21 Calculate 1*-1817. -1817 Calculate 782*1. 782 What is the product of 0.22 and -0.13? -0.0286 -283 times 1.2 -339.6 1.9*33 62.7 0.0057 * 0.4 0.00228 What is -0.1 times -7.5? 0.75 What is the product of -0.7 and 902? -631.4 -164 times -4 656 -17 * 0.8 -13.6 What is -0.1 times -2.2? 0.22 Calculate 44*0.6. 26.4 -0.7 times -3.7 2.59 Calculate -634*-1.1. 697.4 What is 29.6 times 1? 29.6 Calculate 0.5184*-0.4. -0.20736 341 * -0.1 -34.1 Calculate -0.1*493. -49.3 Product of -1 and -30. 30 What is the product of 0.1257 and -0.1? -0.01257 What is the product of 0.5 and -5613? -2806.5 What is -109 times 0.3? -32.7 Work out 0.17713 * 0.1. 0.017713 Calculate -0.00773*5. -0.03865 Work out 4 * 5714. 22856 159*0.5 79.5 What is the product of 12087 and -4? -48348 Multiply -0.5 and -7. 3.5 Calculate -0.3*0.1596. -0.04788 Multiply 0.04289 and 0.2. 0.008578 Calculate 0.0384*-1. -0.0384 Calculate 15*0.3. 4.5 Product of -10.007 and 5. -50.035 -6.528*-1 6.528 What is 4 times -0.167? -0.668 Work out -0.038 * -74. 2.812 Product of 1 and -4.9. -4.9 Calculate 7100*0. 0 Calculate 244*0.9. 219.6 -0.22 * 837 -184.14 What is 12 times 0.298? 3.576 -4 * 1340 -5360 Calculate 15*5.36. 80.4 Calculate -4*0.003. -0.012 -1852 * -5 9260 Calculate -585*5. -2925 Multiply 6777 and 4. 27108 3 * -230 -690 -131.4 * 0.2 -26.28 Multiply -0.032 and 2. -0.064 Multiply -0.1548 and -4. 0.6192 Work out -200 * 0.4. -80 What is -336 times 0? 0 Calculate -498.7*-0.5. 249.35 Calculate -0.15*0.09. -0.0135 What is 225 times 5? 1125 Multiply -0.32 and 2. -0.64 Work out 19.7 * 4. 78.8 5*-2.001 -10.005 0.29 times 45 13.05 What is the product of 176 and 3? 528 What is -0.106 times -0.42? 0.04452 Product of -1 and 4.11. -4.11 What is the product of 7 and 8? 56 0.3 times -1.005 -0.3015 What is the product of 549 and 0.3? 164.7 What is 1.5 times -33? -49.5 Work out -1.24 * 0.4. -0.496 Work out 0.1 * -5. -0.5 What is the product of 0.5 and 5240? 2620 -0.5 * -0.051 0.0255 0.32 times -0.05 -0.016 -0.575 times 0.4 -0.23 What is the product of -68.7 and 2? -137.4 What is -0.386 times -4? 1.544 What is -0.2 times 417.9? -83.58 Multiply 0.4 and 8.3. 3.32 Work out 0.1 * -1.452. -0.1452 2*72 144 Multiply 0 and 6. 0 Work out -11 * -0.2. 2.2 What is 5 times 8387? 41935 5 times 11.9 59.5 -29.1 * -0.2 5.82 Product of -5.2 and 9. -46.8 0.4*-0.066 -0.0264 Multiply -4 and 73. -292 Work out 154 * -105. -16170 Work out -0.4 * -5. 2 0.2 * 0.013 0.0026 What is the product of -74 and -0.4? 29.6 -0.4 times 1.05 -0.42 0.4*51 20.4 What is -0.4 times 100? -40 Calculate -0.3*-575.3. 172.59 Product of 0.8 and -284. -227.2 Product of -0.8 and -88.2. 70.56 -21.65 * -5 108.25 0.3*0.16 0.048 What is the product of 228 and 1.1? 250.8 Multiply 0.55 and 137. 75.35 -4*-1.13 4.52 Calculate -0.029*14. -0.406 Multiply -1.9 and -13. 24.7 135 * -0.3 -40.5 What is 352 times -0.2? -70.4 What is the product of 269 and -0.5? -134.5 Calculate -0.1*1.84. -0.184 What is -1235 times 0.1? -123.5 Calculate -30*-0.0819. 2.457 Product of -0.6184 and -4. 2.4736 8*-16.5 -132 Work out -4 * -5.247. 20.988 27.76 * -4 -111.04 Calculate -2*1.24. -2.48 -152*-0.3 45.6 Multiply -1.68 and -0.4. 0.672 Calculate -29.2*-0.5. 14.6 700 times -4 -2800 What is -5.12 times 0? 0 -126.9 times -3 380.7 What is -0.3 times -8996? 2698.8 Multiply 0.1 and 166. 16.6 Work out -3 * -0.05. 0.15 Multiply 852 and -1. -852 What is the product of 14 and -0.4? -5.6 What is the product of 3 and -0.07? -0.21 What is -1785 times -2? 3570 -0.111 times -8 0.888 What is the product of 55 and -4? -220 Work out -4778 * -2. 9556 Calculate -4*5.31. -21.24 -4*-2.86 11.44 What is the product of -1015.1 and 3? -3045.3 -6.13*10 -61.3 Product of 0 and -27. 0 Calculate 0.4*208. 83.2 Work out -0.02 * -33. 0.66 What is the product of -0.09 and 0.7? -0.063 What is -5 times 4.123? -20.615 Work out -0.185 * 0. 0 -2166*-0.3 649.8 12 times 2.2 26.4 What is the product of -0.07 and 25.5? -1.785 What is 1260 times 0? 0 Calculate -2*13.04. -26.08 What is the product of -4 and 42? -168 221 times -48 -10608 1993*-3 -5979 Multiply 0.009 and 399. 3.591 1.2*-36 -43.2 Calculate 5*6942. 34710 -5 * -1.39 6.95 Work out 316 * -0.37. -116.92 Work out -2554 * 1. -2554 What is 2013.8 times 0.2? 402.76 What is 3 times -2195? -6585 Product of 6 and 25. 150 -2 * -43.2 86.4 0.09 * 0 0 Product of -0.2 and -0.0996. 0.01992 0.5 * 0.2061 0.10305 Work out -3 * 3.69. -11.07 What is the product of -3 and 0.173? -0.519 22.3*0 0 Multiply -110 and -18. 1980 -5*65 -325 Product of -18771 and 0.4. -7508.4 What is -2 times 0.03302? -0.06604 -0.3 times -47 14.1 Work out -0.12 * 43. -5.16 Work out -2.5896 * 4. -10.3584 What is the product of -49.5 and 4? -198 -1.94*-0.2 0.388 What is the product of -36 and 0.065? -2.34 What is 0.7 times 11.4? 7.98 Multiply -16 and 0.05. -0.8 Calculate -0.08*-0.39. 0.0312 -176 * 5 -880 0.17 times 6 1.02 13 times 25 325 32.46*5 162.3 17*4.8 81.6 Calculate -59*75. -4425 Work out 1992 * 0.2. 398.4 15*-2658 -39870 Mult
{ "pile_set_name": "DM Mathematics" }
t(567)))*-1)**2*-3 + 0)*3. -250776 - 10206*sqrt(7) Simplify -4 + -5 + ((sqrt(432) - (1*sqrt(432)*5 + sqrt(432))) + sqrt(432))**2 + (sqrt(432) - (sqrt(432) + 3 + 2))**2 + -5. 6923 Simplify (-5 + -1*(1 + (sqrt(637)*3*2)**2))*-4. 91752 Simplify ((1*(sqrt(99)*1*2 - sqrt(99)))/(2*sqrt(9)*-1 + 5*(sqrt(9) + sqrt(9) + sqrt(36))) + -2)**2*-6. -1307/54 + 4*sqrt(11)/3 Simplify 4*(0 + ((1*sqrt(4))/sqrt(2) - sqrt(32)*3) + 0 + -5). -44*sqrt(2) - 20 Simplify 5*(5*(3*(sqrt(98) - (2 + sqrt(98) - sqrt(98))) + sqrt(98)) + ((sqrt(98)*2 - sqrt(98)) + -1 - (sqrt(98) - (4 + 2*sqrt(98) - sqrt(98)))))**2. -39690*sqrt(2) + 219735 Simplify (3 + ((sqrt(336) - sqrt(21))*-2 + (sqrt(231) + sqrt(231)*2 - sqrt(231))/sqrt(11))/(-3*sqrt(21)/(sqrt(7)*1)))**2 + -2. 175/9 + 8*sqrt(7) Simplify 3 + (3*sqrt(504)*-2)/(sqrt(72)*-6) + -1 + 1. sqrt(7) + 3 Simplify -5*((sqrt(2736) + sqrt(2736)*1*-6 + sqrt(2736) + sqrt(2736) + sqrt(2736) + (sqrt(2736)*1 + -4 - sqrt(2736)))**2 - (sqrt(38)/sqrt(8) + sqrt(684) + 5)). -54775 - 1855*sqrt(19)/2 Simplify -5*(sqrt(1584)*2 + 2)**2 - (sqrt(66)/sqrt(54) - (-3*sqrt(704))**2). -25364 - 1441*sqrt(11)/3 Simplify ((((sqrt(65) - -1*(sqrt(65) - sqrt(65)*-2 - sqrt(65))) + sqrt(65) + sqrt(65) - sqrt(65))/(sqrt(30)/sqrt(6)*-3))**2 + -3)*-4 + -4. -760/9 Simplify 5 + (sqrt(5) + sqrt(45)/(sqrt(9)*2 - sqrt(9)) + sqrt(405) + 0 + 0 - (-6*sqrt(80) + sqrt(5) - 6*(sqrt(5) - (sqrt(5) + 3))))**2 + 3. -1224*sqrt(5) + 6112 Simplify 5 + (sqrt(30)/(sqrt(50)/sqrt(5)) - (sqrt(3) + sqrt(12)/sqrt(36))) + (sqrt(12)*-4 + -2)**2*-6 + 5. -1166 - 577*sqrt(3)/3 Simplify -5 + -5 + (sqrt(117) + 1 + sqrt(117))**2 + -4 + -4*(4 + (sqrt(117) - -3*sqrt(117))). -36*sqrt(13) + 439 Simplify -3 + ((sqrt(980)*1)**2 + -4*(1 + sqrt(20)) - (((sqrt(320) - 6*-1*sqrt(320)) + sqrt(320))**2 + sqrt(320) + sqrt(320)))*-3. 72*sqrt(5) + 58509 Simplify 4 + (4*(sqrt(5000) - -2*sqrt(5000)))/(-2*sqrt(30)/sqrt(12)) + -4. -120*sqrt(5) Simplify 2*(2 + 5*(-4 + (3 + sqrt(288) + sqrt(288) - sqrt(288) - sqrt(288) - sqrt(288)) + 2))**2*-1. -14498 + 1680*sqrt(2) Simplify (-1 + 3 + ((sqrt(72) + -4)*-5)**2*4)*2 + 5. -9600*sqrt(2) + 17609 Simplify (-2 + sqrt(1053) - (sqrt(1573) - sqrt(1573)*2)**2) + (-2*sqrt(325) - sqrt(325))**2 + sqrt(468)*-5. -21*sqrt(13) + 1350 Simplify (1*(-4 + -3 + 2 + (sqrt(7) - (-3 + (sqrt(63)/sqrt(9) - sqrt(7)))))*-1)**2*-2. -22 + 8*sqrt(7) Simplify 3*((4 + sqrt(75))**2 + 5*sqrt(75) + 0) + 3. 276 + 195*sqrt(3) Simplify 2*(-1*(sqrt(190) + -2*sqrt(190) + sqrt(190)) + (sqrt(190) + sqrt(190)*-1*2 - sqrt(190) - sqrt(190)))/(sqrt(30)/(-4*sqrt(75))). 120*sqrt(19) Simplify 5 + ((sqrt(5) + -1 - sqrt(5))*-1*3*2 + (-5 + (sqrt(605) + -1 - sqrt(605)) - (sqrt(605) + 0)*4))**2. 9685 Simplify (-5 + -5 + sqrt(288) + 2 + 1 + (0 + -4*sqrt(288) - (sqrt(288)*3 + 1)))**2*-1. -10432 - 1152*sqrt(2) Simplify 0 + (5*(-3 + (2 + sqrt(12) - sqrt(12))) - (5*(sqrt(363) + 0) + sqrt(363) - (sqrt(363) + -5 + sqrt(363) + -1)))**2. 968*sqrt(3) + 5929 Simplify (1 + -4*-5*sqrt(252)*-1*2*5)**2*-6. -60480006 + 14400*sqrt(7) Simplify 5*(-3 + -3 + (-4*(1 + sqrt(684)) - 5*5*sqrt(684))**2). 6960*sqrt(19) + 2876270 Simplify 6*(sqrt(1331) + (sqrt(1331) - 5*sqrt(1331)*2) - -3*(sqrt(1331) + 0 + sqrt(1331))) + (1 + -4*sqrt(1100) + sqrt(1100)*-1 + 0)**2. -232*sqrt(11) + 27501 Simplify (-1*sqrt(637) + 0)**2 + 1*sqrt(637)*2 + sqrt(117) + 0 + sqrt(13) + 3*(sqrt(65)/sqrt(5) - sqrt(13)). 18*sqrt(13) + 637 Simplify ((sqrt(468)*-1 - sqrt(468) - (sqrt(117) + 2)) + 2*(sqrt(1573) + (sqrt(1573) + -1 - sqrt(1573))*-6))**2. 140*sqrt(13) + 737 Simplify (6*2*4*(-1 + sqrt(275)) + (5*(sqrt(275) - (sqrt(275) + -2)) - (sqrt(275)*3 + -5)))**2. -14850*sqrt(11) + 557964 Simplify (4*((1 + sqrt(80) + -2 + sqrt(80))*-4 - (sqrt(80) - -2*(1 + sqrt(80)) - (5 + sqrt(80) + -1))))**2*-3. -385728 + 23040*sqrt(5) Simplify 0 + ((sqrt(175)/sqrt(5)*-6)/sqrt(5) - 6*(sqrt(567) + -2)) + 4. -60*sqrt(7) + 16 Simplify (((2*sqrt(198) + sqrt(198))*-5 + sqrt(198) + sqrt(198))/(sqrt(81)/(1*sqrt(9))))/(-6*(sqrt(128)/sqrt(4) + sqrt(2))*3). 13*sqrt(11)/90 Simplify (-1*((sqrt(243) + sqrt(243) + 0 + 2 + sqrt(243) - (1 + sqrt(243) + -4))*6 + 1) + 1)**2. 6480*sqrt(3) + 35892 Simplify ((sqrt(228) - (sqrt(228) + -2*sqrt(228) + sqrt(228)))*6 + (sqrt(228) + -1*sqrt(228))*-5)/((-1*sqrt(768) - sqrt(1200)*1)*5). -sqrt(19)/15 Simplify (-1*(sqrt(19) + -3 + -2)*2 - (sqrt(76)*-1*-3)/(3*sqrt(16)))**2. -50*sqrt(19) + 875/4 Simplify 5*(((sqrt(98) + 0 - sqrt(98)) + -5 + sqrt(98) + 0 + sqrt(98) + 2)**2 - (sqrt(12)/(-3*sqrt(6)) + -1 + (sqrt(2) - sqrt(2)*-3))) + 4. -1315*sqrt(2)/3 + 2014 Simplify (-5*sqrt(88)*-2 + (sqrt(88) - (sqrt(88) - 3*-2*sqrt(88))))/(6*-3*(sqrt(288) - (sqrt(288) + sqrt(288)*3))). sqrt(11)/81 Simplify 5*((-3 + 2 + sqrt(117) + -3 + sqrt(117) + 1*(sqrt(117) + 1)*-3)*1)**2*4. 840*sqrt(13) + 3320 Simplify (-5 + 3 + (sqrt(200) - (2*(sqrt(200) - (1 + sqrt(200))) - sqrt(200))) + (sqrt(200) - (-2 + 2 + sqrt(200))) + -4)**2*5. -800*sqrt(2) + 4080 Simplify (sqrt(7) + sqrt(56)/sqrt(8))**2*5 + sqrt(7) + -2 + -4 + (sqrt(49) + (sqrt(245)*-2)/sqrt(5))/((sqrt(84)*-1)/sqrt(12)). 2*sqrt(7) + 134 Simplify (-1*(sqrt(325) + (sqrt(325) - 5*sqrt(325)*-1) - (sqrt(325) + -2*sqrt(325) + sqrt(325) + 4)) + -3*5*(sqrt(325) - (0 + sqrt(325)))*6)**2. -280*sqrt(13) + 15941 Simplify ((sqrt(432) + -3 + -3)*5 - (2*(sqrt(432) + 0) + 5))**2. -2520*sqrt(3) + 5113 Simplify ((sqrt(245) + 0 - (sqrt(45) + -1))*-3)**2 + (-6*(sqrt(5) + ((sqrt(5) - 1*sqrt(5)) + 3)**2) - (sqrt(500) + sqrt(500)*2)*-2). 126*sqrt(5) + 675 Simplify (6*2*sqrt(84)*-3)/((sqrt(84)*-2*-1 + sqrt(84))/(sqrt(96)/(sqrt(72) + sqrt(8)) - sqrt(12))) + 4. 4 + 18*sqrt(3) Simplify -5*((3 + (-1 + sqrt(891))**2 - ((0 + sqrt(891))**2 + 5)) + (-4*(-3 + sqrt(891) + 1 + sqrt(891) + sqrt(891)))**2 + -1). -641830 + 8730*sqrt(11) Simplify 4*((-1*sqrt(187)*-3 + sqrt(187) + sqrt(187))/(sqrt(99)*-6) + (-2*sqrt(85)*1 + sqrt(85))/(-1*sqrt(320))). -11*sqrt(17)/18 Simplify ((sqrt(605)*2*-3)**2 - sqrt(605))*4 + (2 + sqrt(80) + 2)**2 + -1. -12*sqrt(5) + 87215 Simplify (sqrt(130) + (sqrt(130) - (2*3*sqrt(130) + sqrt(130) - sqrt(130))) + -3*sqrt(130)*-2)/(sqrt(70)/(sqrt(42)/sqrt(6)) - sqrt(250)*3). -sqrt(13)/7 Simplify 4 + -5 + (sqrt(120)/(sqrt(8) + sqrt(32)/sqrt(4))*1)/(1*-2*sqrt(500)). -1 - sqrt(3)/40 Simplify (-5*sqrt(2499)*5)/((-3*sqrt(108) + sqrt(108))*6). 175*sqrt(17)/72 Simplify (2*(((sqrt(2736)*-2 - sqrt(2736)) + sqrt(2736) + sqrt(2736) + 3)*6)**2 + 0 + -4)*-4. -790544 + 20736*sqrt(19) Simplify (sqrt(832) + 5 + sqrt(832) + 0)**2 + 6*(sqrt(468)*4 + sqrt(468) - sqrt(468)) + -4 + -5. 304*sqrt(13) + 3344 Simplify 4 + (2*(sqrt(192)*2 + sqrt(192) + 2 + sqrt(192) + sqrt(192) - (sqrt(3) + -2 + 1)*-4)*-3)**2. -6336*sqrt(3) + 209236 Simplify 5 + -4*(sqrt(14)/(sqrt(175)*-2 - sqrt(175)))**2 + ((-1 + sqrt(242)*2)*2)**2. -176*sqrt(2) + 873217/225 Simplify (-1 + ((6*(4 + -1 + sqrt(1216)))**2 - (2 + (sqrt(1216) - (3 + (-2 + sqrt(1216) - sqrt(1216))) - sqrt(1216)))**2) + 5)*-6. -264618 - 10368*sqrt(19) Simplify ((6*2*((sqrt(2) - sqrt(8)) + 1) + ((2*sqrt(18))/sqrt(9) - (sqrt(72)*-3 - sqrt(2))))*3)**2. 1944*sqrt(2) + 2754 Simplify -4*(-1*(2 + sqrt(1300))**2 + -3 + -4*sqrt(1300)*-2*-4) + -5. 1440*sqrt(13) + 5223 Simplify (5*2*(5*-3*(sqrt(468) + sqrt(468)*-1*2) + 5))**2. 90000*sqrt(13) + 10532500 Simplify 6*(((sqrt(132)*1 + sqrt(132))/sqrt(11) + 3*sqrt(48))/(3*sqrt(6)*3 - sqrt(54)*-3))**2. 64/27 Simplify 6*(((6*sqrt(28)/sqrt(4))**2 - -2*sqrt(7)*2) + sqrt(28)/((3*-5*sqrt(4) - sqrt(4)) + sqrt(4))). 118*sqrt(7)/5 + 1512 Simplify (-2*sqrt(204)*2*-2*-6)/((-1*sqrt(3456))/(5*sqrt(8)/sqrt(4))). 20*sqrt(17) Simplify ((0 + -3*-4*(sqrt(1053) - (-3 + sqrt(1053))*-4 - sqrt(1053) - sqrt(1053)))*6 + -3)**2. -3370896*sqrt(13) + 49880457 Simplify 3 + (3 + (4*sqrt(128)*-1)**2 - ((sqrt(200) - (sqrt(200)*-1*4)**2) + 1)). -10*sqrt(2) + 5253 Simplify -2*((2*(-3 + sqrt(1900)) + sqrt(1900) + 3 + ((sqrt(1900) - (1 + sqrt(1900)))*2 - ((sqrt(1900) + -2 - sqrt(1900)) + -2)))**2 + 4). -34210 + 120*sqrt(19) Simplify ((-5 + (1 + sqrt(78)/(sqrt(18)/sqrt(3)) + -4 + sqrt(13) + -1)*2)*-4*6*-4)**2. -958464*sqrt(13) + 3474432 Simplify ((3*sqrt(448) - sqrt(448))/sqrt(8) + 4*(sqrt(504) + sqrt(56)))/(sqrt(56)/(sqrt(847)*1 + sqrt(847))*-2)*-1. 198*sqrt(7) Simplify ((sqrt(85) - sqrt(85)*3)*-6)/(-2*sqrt(405)) - (5 + sqrt(17) + -3*sqrt(68) + -5*sqr
{ "pile_set_name": "DM Mathematics" }
k - m. List the prime factors of c. 19 Let d(l) = -312*l - 4. Suppose -5*f = a - 9*f - 3, -4*f - 4 = 0. What are the prime factors of d(a)? 2, 7, 11 Let i = 63 - 62. Let q = 13 + i. What are the prime factors of q? 2, 7 Let l = 5 + -1. Suppose -1 = s + 5*n, -s + l*n = s - 12. Suppose -y + 2*b + 49 = 0, 4*y = -3*b + s*b + 161. List the prime factors of y. 3, 13 Let p = 96 + -92. Let z = 122 + p. What are the prime factors of z? 2, 3, 7 Let q = 275 - 157. What are the prime factors of q? 2, 59 Let d = 15 + -13. Suppose 2*u - 5*m - 13 = 0, 4*u - d*m - m - 19 = 0. Suppose 56 + u = 4*p. List the prime factors of p. 3, 5 Let n(x) = -x - 6. Let f be n(-10). Suppose 5*s + 3*a = 9, -f*s + 3 = -5*s - 3*a. Suppose -s*q = 27 - 117. What are the prime factors of q? 2, 3, 5 Suppose 2*s - b = 4*b - 7, b - 2 = s. Let d(r) = 22*r**2 + 3*r. List the prime factors of d(s). 19 Let x be 65/1*-1 + 4. Let p = 20 - x. What are the prime factors of p? 3 Suppose -184*m = -180*m - 9080. List the prime factors of m. 2, 5, 227 Let d(m) = m**3 - m + 87. Suppose 0 = -0*x + 3*x. Let v be d(x). Suppose 2*k - k = -5*u + v, -k - 93 = -5*u. List the prime factors of u. 2, 3 Let z(i) = 2*i + 6. Let y be z(-4). Let k(m) = 7*m**2 - 5. List the prime factors of k(y). 23 Let q(y) = 62*y + 110. What are the prime factors of q(4)? 2, 179 Let h(k) be the third derivative of -k**4/24 + 3*k**3/2 - 7*k**2. Let z be h(-6). What are the prime factors of 5/(-2)*(-24)/z? 2 Let w = -533 - -1092. What are the prime factors of w? 13, 43 Let m(n) = -2*n + 2*n - n - 14 - 2*n. Let v be m(-6). List the prime factors of -2 - (-19 + -4 + v). 17 Let d be (-80)/(-8)*6/4. Let f = 27 - d. List the prime factors of (8/f)/(-1)*-54. 2, 3 Suppose 25*v - 30*v = -2895. List the prime factors of v. 3, 193 Let u = 779 + -355. What are the prime factors of u? 2, 53 Let s be 0 + (-5)/1 - -389. Let p = s + -149. List the prime factors of p. 5, 47 Suppose 0 = -4*t + 3*l + 3896, -4*t + 2*l + 5645 = 1745. What are the prime factors of t? 977 Let c = -143 - -148. Suppose -5*i = -l + 2*l - 190, -i = -c*l - 12. What are the prime factors of i? 37 Suppose 58 = -7*c - 586. Let u = -50 - c. What are the prime factors of u? 2, 3, 7 Let r(l) = 9*l - 16. Let v be r(5). Let x(d) = -69*d**3 + d**2. Let f be x(-1). Let k = f - v. List the prime factors of k. 41 What are the prime factors of ((-140352)/960)/(2/(-20))? 2, 17, 43 Suppose l - 4*l = -69. Let s = l - 19. Suppose -4 = -s*i, 5*t + 3*i = -0*i + 193. What are the prime factors of t? 2, 19 Let w = 80 - 35. Let c = 70 - w. Let t = -18 + c. What are the prime factors of t? 7 Suppose -40*i = -39*i - 368. What are the prime factors of i? 2, 23 Let h = 6 - 1. Let i(a) = 6*a**2 - 6*a - 4. Let d be i(h). Let z = -80 + d. What are the prime factors of z? 2, 3 Suppose d + 2*m - 26 = 0, 4*m - 49 = -3*d + 19. Suppose 3*x = -x, -4*g + 12 = -4*x. Let n = d - g. List the prime factors of n. 13 Suppose -5*r + 3*z + 142 = z, -3*z + 53 = 2*r. What are the prime factors of ((-4)/(-5))/(r/350)? 2, 5 Let u be (80/140)/((-4)/(-98)). Let y(o) = o**2 - o - 2. Let t be y(2). What are the prime factors of u + -1 - 0 - t? 13 Let y = 90 - 90. Suppose y = 13*l - 660 - 1355. List the prime factors of l. 5, 31 Suppose 0 = 2*l - 7 - 5. Let s(h) = 5 + 7*h + 13*h - h**2 - 12*h. What are the prime factors of s(l)? 17 Let n be (-2)/(2 - 1)*-1 + -13. Let v = n - -133. What are the prime factors of v? 2, 61 What are the prime factors of 3 + 1965 + (3 - 6 - -2)? 7, 281 Let u be 2 + 0 + (-282 - (-2)/(-1)). Let h = -197 - u. What are the prime factors of h? 5, 17 Let h = 2432 - 1087. What are the prime factors of h? 5, 269 Let u = 174 + 529. What are the prime factors of u? 19, 37 Let k be (0 - 150/21)/(6/(-42)). Suppose -5*z + 297 = -2*z. Let s = z - k. List the prime factors of s. 7 What are the prime factors of 12/14*-541*(-14)/4? 3, 541 Suppose -254*l = -244*l - 19180. What are the prime factors of l? 2, 7, 137 Suppose -22*y + 855 = -4667. List the prime factors of y. 251 Suppose -5*m - 2*k = -15141 + 1029, 5642 = 2*m - 2*k. List the prime factors of m. 2, 17, 83 Suppose -2*x - 376 = -1766. List the prime factors of x. 5, 139 Suppose k = 2 + 1. Let p(x) = 5*x - 8*x**2 + x**k - 9 + 9*x - x + 0*x. List the prime factors of p(7). 3, 11 Suppose 14*h = 5*h + 8082. List the prime factors of h. 2, 449 Suppose 2*i - 101 = -5*y, -2*i = 6*y - 7*y - 83. What are the prime factors of i? 43 Suppose 0 = -6*s - 6*s + 11388. What are the prime factors of s? 13, 73 What are the prime factors of 6*9/(-81)*3846/(-4)? 641 Let k(o) = 7*o**3 - 5*o**2 + 4*o + 6. Let w(u) = -u**3 - u - 1. Let m(t) = k(t) + 6*w(t). Let x be m(6). Let f = x - -1. List the prime factors of f. 5 Let f be 0 + ((-6)/3 - 32). Let v = f - -131. List the prime factors of v. 97 Let o(v) = -v**3 - v**2 - v - 1. Let n be o(-1). Let h(s) = s**2 + 17*s - 56. Let c(u) = -3*u. Let k(a) = -6*c(a) - h(a). List the prime factors of k(n). 2, 7 Let g(x) = -x + 23. Suppose -o = 3*o + 3*l - 215, 3*o - l - 145 = 0. Suppose o = 3*r - 1. List the prime factors of g(r). 2, 3 Let d(x) be the second derivative of 1/2*x**2 - x + 0 + 1/6*x**3. List the prime factors of d(5). 2, 3 Suppose 0*q - 70 = -5*q. Suppose 0*p + q = p. Suppose -2*u + p + 34 = 0. List the prime factors of u. 2, 3 Let a = 228 + -89. Let k = 173 - a. List the prime factors of k. 2, 17 Suppose -5*m + u = 2*u - 1401, -5*m + 3*u = -1417. Let w = m + -158. What are the prime factors of w? 3, 41 Let l be ((-6)/4)/((-15)/(-20)). Let r = -1 + l. List the prime factors of (-6)/4*40/r. 2, 5 Let o = 720 - -508. List the prime factors of o. 2, 307 Suppose 6*z = z + 5*m + 580, -2*z - m + 244 = 0. Suppose i + i = z. List the prime factors of i. 2, 3, 5 Let m = -900 - -2153. What are the prime factors of m? 7, 179 Suppose 2*k - 2*a - 361 = -a, 0 = 3*k + 2*a - 524. Suppose 2*w - 460 = k. List the prime factors of w. 11, 29 Let y(g) = -g**2 - 3 + 4 - 2 + 2*g**2. Suppose 0 = 2*o - 1 - 7. What are the prime factors of y(o)? 3, 5 Suppose 8 = 7*z - 5*z. Suppose 0 = z*h + h - 115. What are the prime factors of h? 23 List the prime factors of (46/(-69))/((-2)/6291). 3, 233 Let m be 185*(18/10 - 1). What are the prime factors of (m/10)/(1 - (-16)/(-20))? 2, 37 Let p be (-162)/12*2/(-3). Suppose 702 = 22*n - p*n. What are the prime factors of n? 2, 3 Let p = -31 - -51. Suppose 9*v = -34 + 142. Let r = p - v. What are the prime factors of r? 2 Suppose 6 = -u + 2*u + o, 48 = 4*u - 4*o. Let j be u/(-12)*-4 + -4. Let k = 10 - j. List the prime factors of k. 11 Let a(t) = t**2 + t. Suppose -5*n + n - 4 = 0. Let g be a(n). Suppose -2*r + 13 + 3 = g. List the prime factors of r. 2 Let x be (-4)/20 - (-816)/30. Let f be (-1)/(x/30 + -1). What are the prime factors of 2088/30 - 6/f? 3, 23 Suppose 9 = k + 6. Let q(b) = 0*b**2 + 13*b**2 - 10*b - 4*b**3 + 10 + k*b**3. What are the prime factors of q(12)? 2, 17 Let r = -1 - -5. Let n(c) = -r*c - 15 - 5*c + 0*c + c**2. List the prime factors of n(11). 7 Suppose 4*a - 9819 = -5*i, -4*i - 9964 = -5*a + 2361. What are the prime factors of a? 23, 107 Let c be (1 - 70/(-5)) + 0. Suppose k + c = 52. What are the prime factors of k? 37 Suppose -5*c - 9720 = -9*c + 2*h, 0 = -5*c + 4*h + 12147. List the prime factors of c. 11, 13, 17 Let k be (2 - -23)*2/2. Suppose -2*j + 40 = m + 31, j + m = 4. Suppose -k = j*i, -7 - 19 = -r + 2*i. List the prime factors of r. 2 Let i(h) = h**3 - 10*h**2 + 9*h + 8. Let p be i(9). Suppose 3*t - p*t - 380 = 0. List the prime factors of t*(15/(-12))/5. 19 Let o(f) = 11*f**2 - f - 1. Suppose -2*x - 1 = q, -4*x - 7 = -3*q - 0*x. Let n be q/((-1 - 2) + 2). What are the prime factors of o(n)? 11 Let o(n) = 36*n**3 + n**2 - 3*n + 2. Let s be o(1). Suppose -l - 7 = -s. List the prime factors of l. 29 Suppose -2 = y, 3*m + 2*y + 164 = 8*m. Suppose -29 = -3*d - n, 3*d + d - 2*n = m. List the prime factors of (-6)/(-4)*48/d. 2 Let p = 140 + -122. Suppose 0 = -p*a + 13*a + 915. What are the prime factors of a? 3, 61 Let j(b) = -4*b + 33. Let k(y) = -y + 8. Let n(h) = -6*j(h) + 26*k(h). Let v be n(-5). Let o = 19 + v. List the prime factors of o. 3, 13 Suppose 2*p + 3*n + 0*n = 25, -3*p + 3*n = 0. Suppose -f - 2*f - 621 = -p*g, f + 125 = g. What are the prime factors of g? 3, 41 Let
{ "pile_set_name": "DM Mathematics" }
2, 3 Let x(o) = -3*o + 1. Let u be x(-4). Let a = u - 9. What are the prime factors of a? 2 What are the prime factors of (15/(-10))/((-12)/688)? 2, 43 Suppose 0 = 2*i + 3*l - 199, -3*i - l + 255 = -61. List the prime factors of i. 107 Let p(z) = 2*z - 3 + 0 + 4 + 0. What are the prime factors of p(2)? 5 Suppose b + 20 = 5*b. Let f = b + 0. Suppose -41 = -f*i + 9. What are the prime factors of i? 2, 5 What are the prime factors of (-1 - 91)/(-2) + 2? 2, 3 Let n be ((-2)/(-3))/((-1)/(-15)). Let s = 17 - n. What are the prime factors of s? 7 Suppose -2*y + l + 93 = 0, -2*y - 2*y - 5*l = -221. What are the prime factors of y? 7 Suppose p = 6 - 1. Suppose -p*h = -25, 2*o - 2*h + 22 = 2*h. What are the prime factors of 2*o*19/(-2)? 19 Let m be (-5)/(-4) + (-3)/12. Suppose 0 = 5*q - m - 4. What are the prime factors of 0/q - (-3 + -2)? 5 Let y(v) = v**2 - 18*v + 19. List the prime factors of y(24). 163 Suppose 0 = -4*i + 314 + 38. Let n = -61 + i. What are the prime factors of n? 3 Let n(s) = 21*s**2 + 5*s + 5. List the prime factors of n(-2). 79 Suppose 3*p + 11 = 2*z, 3*z + 6*p = 3*p + 9. Suppose 2*s - 4*a - 20 = 0, -2*s - z*a - 10 = s. What are the prime factors of s? 2 Let g be (-9)/2 + 1/2. Let j be 2 + (g - 6/(-3)). Suppose 4*h = -12, -3*u + 2*h - 6*h + 24 = j. What are the prime factors of u? 2, 3 Suppose j + 4*h + 15 = 0, 0*h + 15 = -2*j - 5*h. Let b = 13 - j. Suppose -s + b = -1. List the prime factors of s. 3 Let y = 11 - -35. List the prime factors of y. 2, 23 Let m(p) = -p**3 - 3*p**2 + 5*p + 4. Let s be m(-4). Suppose s = -4*d - 0*z + 4*z - 8, 0 = z - 5. Let c = 5 + d. What are the prime factors of c? 2 Let n be 2*(2/4 + 2). Suppose -n*b = 2*l - 37, -4*l - 2*b = -2*l - 40. What are the prime factors of l? 3, 7 Let n be 0 - (-3 - (-2)/(-2)). Suppose -19 + 127 = n*z. What are the prime factors of z? 3 Let i(j) = 2 + j + 4*j - 3*j + 2. What are the prime factors of i(3)? 2, 5 Let f(i) = 2*i + 5 + 1 - 3 + 2*i**2 + 0. List the prime factors of f(3). 3 Let s be 4 + -4 - (-2)/1. Let m(x) = 3*x**3 - 2*x**2 + 3*x - 1. List the prime factors of m(s). 3, 7 List the prime factors of (0 - -3)/(3/26). 2, 13 Suppose 4*s + 13 = -z, z - 5*s + 15 = -7. List the prime factors of -2 + 0 + (-2 - z). 13 Let x be ((-8)/(-4))/(2/71). Suppose 0 = 4*r - 3*s - x, -37 = -3*r - 0*r - s. What are the prime factors of r? 2, 7 Let s(z) = -48*z. What are the prime factors of s(-1)? 2, 3 Let k(n) = 17*n**2 + 5*n - 1. Let t be k(3). Suppose 0 = 4*a + q - 0*q - 139, t = 5*a - q. What are the prime factors of a? 2, 17 Let w = 0 - -7. Let r be (-1)/(0 + -1) - w. List the prime factors of 12 - (r + 0)/(-3). 2, 5 Let c = 181 + -135. List the prime factors of c. 2, 23 Suppose -71*u + 70*u + 15 = 0. List the prime factors of u. 3, 5 Let a = -31 + 103. Suppose -4*y + y + a = 0. Suppose 0 = -0*g + 2*g - y. What are the prime factors of g? 2, 3 Suppose 36*w = 31*w + 165. What are the prime factors of w? 3, 11 Suppose 3*k - 9 = -0*k + 4*s, -2 = -4*k + 2*s. Let a = 3 + k. Suppose 4*x + 8 = 0, 2*h + a*x + 0*x - 4 = 0. List the prime factors of h. 2 Let c(z) be the first derivative of -z**4/4 - 7*z**3/3 - z**2/2 + 8*z + 3. What are the prime factors of c(-7)? 3, 5 Suppose -12 = -5*s + 8. What are the prime factors of (s/(-10))/(3/(-30))? 2 Let l(n) = -4*n**3 - n**2 - 2*n - 1. Suppose -3*b + g = -1, 7*b - 3*b = -3*g - 16. Let q be l(b). Suppose -o + q = 2. What are the prime factors of o? 2 Let j = 122 + -90. What are the prime factors of j? 2 Let q(x) be the first derivative of x**4/4 - 8*x**3/3 - 4*x**2 - 3*x - 2. Let v be (-87)/(-9) + (-4)/6. List the prime factors of q(v). 2, 3 Let v be 2/4 + 621/6. List the prime factors of v/8 - (1 + -4). 2 Let z be (-12)/30 + 34/10. Suppose z*x + q - 50 = 5*q, -4*x + 69 = -3*q. List the prime factors of x. 2, 3 Let y = -5 + 30. List the prime factors of y. 5 Let l = -19 + 64. List the prime factors of l. 3, 5 Let j(m) = m**2 + 11*m + 12. Let q be j(-9). Let w be q/(-27) + 40/(-18). List the prime factors of -1 + (w - (-27)/3). 2, 3 Suppose 4*u + 12 = 8*u. Suppose -l + 72 = 2*v, u*l - 2*l - 34 = -v. List the prime factors of v. 2, 19 What are the prime factors of (-78)/(-2) + 16 + -17? 2, 19 What are the prime factors of (-2)/(-11) + 4592/154? 2, 3, 5 Suppose 3*t = z + 10, 0*t - 3*t + 2 = z. Suppose t*q - 21 = -q. What are the prime factors of q? 7 Suppose 0 = 4*l + 12, 5*l + 21 = -3*v + 4*v. Let o(d) = -d**2 + 8*d + 5. Let x be o(v). Suppose -4*u + x = -7. What are the prime factors of u? 2, 3 Let f = 8 + -4. Let m be -6*f*(-2)/4. Let v = m - 3. What are the prime factors of v? 3 Let x = 38 + 10. Suppose -2*h + 4*h = x. What are the prime factors of h? 2, 3 Let k(t) = -2*t + 4. Let u be k(-3). Suppose -h - u = 3*m, 2*h + m = -m. List the prime factors of h. 5 Suppose -3*j + 414 = 2*b, -4*j - 2*b + 552 = -0*j. List the prime factors of j. 2, 3, 23 Let m be 4/12 + (-277)/3. Let g = 163 + m. Suppose g - 21 = 5*t. List the prime factors of t. 2, 5 Suppose -4*s + 10 - 2 = 0. Suppose -s*d = -0*k + 2*k - 60, -4*d + 21 = k. What are the prime factors of k? 3, 11 Let p(k) = 6*k. Let l be p(-1). Let q be l - (3 - 6) - -5. Suppose -3*u + q*u + 17 = 0. What are the prime factors of u? 17 Suppose 0*i - 5*l = i + 17, -i = 4*l + 13. Suppose i*d - t = 2*d + 45, 3*d - 145 = 5*t. List the prime factors of d. 2, 5 What are the prime factors of 1*173 - 5/(-3 - 2)? 2, 3, 29 Let b(v) = -15*v - 17. List the prime factors of b(-9). 2, 59 Let z = -3 - -6. Suppose -2*w = -3*w + z. List the prime factors of (-6)/w - (-16)/2. 2, 3 Let o(c) = c**3 + 6*c**2 + 5*c - 4. Let h be o(-4). Suppose -5*t = 2*p - 20, 2*p = -0*p + t + h. List the prime factors of p. 5 Let q(y) = -19*y**2 - 7*y - 8. Let f(c) = 19*c**2 + 6*c + 7. Let w(b) = 7*f(b) + 6*q(b). What are the prime factors of w(-1)? 2, 5 Let l = 0 - 0. Suppose 5*z = 5*j - 10 - 45, l = 3*z. What are the prime factors of j? 11 Suppose -13*q = -5*q - 232. What are the prime factors of q? 29 Suppose 2*o = -5*k - 35, -k = 2*k - 3*o + 21. List the prime factors of (-2)/k - 648/(-84). 2 Let j be 4/(-8)*0/(-2). Let b(i) = i**3 + i + 6. List the prime factors of b(j). 2, 3 Let n(d) = d**2 + 8*d - 9. List the prime factors of n(-13). 2, 7 Let m = 28 + -27. Suppose -o - 2*i - i = -5, o + 5*i - m = 0. What are the prime factors of o? 11 Suppose 2*i - 70 = 4*j, i + 20 = 2*i + 3*j. What are the prime factors of i? 29 Let q = 21 + -12. Suppose -15 = -3*n + q. What are the prime factors of n? 2 Let s(i) = 1 + 2 - 5 + i**2 + 2*i. Suppose -3 = f - j, 19 + 2 = -5*f - j. List the prime factors of s(f). 2, 3 Let x(u) = -u + 39. Let q be x(0). Let z = 71 - q. List the prime factors of z. 2 Let s be (-35)/7*(-14)/10. Let i = s + 8. What are the prime factors of i? 3, 5 Let q(g) = -g**2 + 10*g - 9. Let s be q(9). Suppose -2*d + 52 = 4*u, -2*u + s*d + 18 = -3*d. List the prime factors of u. 2, 3 Let f(t) = 24*t**2 + t - 1. Let w be f(1). Suppose 4*b = 2*b + w. List the prime factors of b. 2, 3 Suppose 4*p = -a - 6, 5*p - 5 = -0*p. Let g(o) = -o**2 - 12*o + 13. What are the prime factors of g(a)? 3, 11 Let b = 120 + -49. What are the prime factors of b? 71 Suppose -6*l + 3*l + 97 = -n, -n = -5*l + 161. What are the prime factors of l? 2 Suppose 2*p - 4*h + 263 = 3*p, h = 2*p - 535. What are the prime factors of p? 3, 89 Let w = -6 - -10. Suppose -b + 39 = 5*y, w*b + 17 = 3*y + 58. List the prime factors of b. 2, 7 Suppose -5*h + 4*t = -0*h - 195, 0 = -t - 5. List the prime factors of h. 5, 7 Let b(q) = 2*q + 7. Let d = -2 + 7. What are the prime factors of b(d)? 17 What are the prime factors of ((-2)/1)/(2 + 868/(-432))? 2, 3 Suppose w - 13 - 16 = 0. List the prime factors of w. 29 Let l(u) = 15*u**2 - 6*u - 1. What are the prime factors of l(-3)? 2, 19 Let o = 25 + -25. Suppose o = -2*y + 51 + 23. List the prime factors of y. 37 What are the prime factors of (18/(-27))/((-4)/198)? 3, 11 Let x(u) = -u**2 + 9*u + 5. Let o(n) = n**2 - n + 2. Let h = 5 + -2. Let f be o(h). List the prime factors of x(f). 13 Let q be 8/(-36) + (-353)/(-9). List the prime factors of 297/13 - (-6)/q. 23 Let y = 15 + -11. Suppose y*u + 4 = 28. Let z = u - 1. What are the prime factors of z? 5 Let v = -60 - -91. List the prime factors of v. 31 Suppose -4*w + 3*z + 8 = 7*
{ "pile_set_name": "DM Mathematics" }
e nearest to x? (a) o (b) 2/21 (c) 0.4 (d) -9 b Let y be (-25)/(-25)*-36 + 38. Let g = -3.5 + 3. Which is the nearest to -0.04? (a) -5 (b) y (c) g c Suppose 0 = -4*v - 2*f + 1 + 1, -5*v = -3*f + 3. Suppose v = b - 7 + 5. Let z = -5 + -2. What is the closest to -2/5 in z, 1/3, b? 1/3 Let o = -0.57063 - -0.27063. What is the closest to -2/9 in o, 0.2, -108, 2? o Let d be 0 + (0 - (-2 + 2)). Let n = 12964 + -12963.7. Let r = 4 - 7. Which is the nearest to d? (a) 0.5 (b) n (c) r b Let x = -52/3 + 17. Let v = 7435 + -7438. What is the nearest to -0.3 in v, x, 3? x Let p = -0.1152 - 0.8848. Which is the closest to -0.11? (a) p (b) 1.1 (c) -3 (d) 3 a Let i = -6169.9 - -6170. What is the closest to i in -1/14, -4/7, -26, 1? -1/14 Let s = -22.6 + 22.1. Let i = s + 0.6. Let t = -325/186 - -5/62. Which is the closest to -0.3? (a) i (b) 2/3 (c) t a Let h = 145.4 - 145.4. What is the closest to 1 in h, -0.7, 18/5? h Let n = 6/37 + -166/111. Let h = 7.77 - 6.77. What is the nearest to h in -18, n, -0.4? -0.4 Let n = -1.06125 - -1.06125. Let g = 6.7 + -7. Which is the closest to n? (a) -4 (b) g (c) 28 b Let q = -3563 + 3565.057. Let r = 75.943 - 76. Let d = r + q. What is the closest to d in 1, 0.3, 2/7? 1 Let o = -8.28 + 13.81. Let t = -4.33 + o. Which is the closest to t? (a) -2 (b) 0.4 (c) -1 (d) -2/15 b Let j = -6.3 - -6.6. Suppose 14*z + 662 - 690 = 0. Let p = -1 - -0.5. What is the nearest to 0 in j, p, z? j Let j = 1923 + -1922.8. Let q = -6 - -6.01. Let o = -0.29 - q. What is the nearest to j in -1, o, -4/9? o Let m = 985 + -982. Which is the nearest to 0? (a) -0.4 (b) -2/9 (c) m b Let v = 1631.5 + -1631. Let t be (-20)/35*(-2)/(-4). Let j = 12 + -12.2. What is the closest to j in 0.7, v, t? t Let t = -0.8325 + 1.1325. Let c be (3 - 1) + 6 + -5. What is the nearest to c in t, 0.2, 1/4? t Let h = -129/31 + 24799/5952. Let l = -239/192 - h. Let g(i) = -i**2 - 19*i + 559. Let y be g(-35). Which is the nearest to y? (a) 3 (b) l (c) 0 b Let y = -158 + 163. Let w be -3 + 4 - 2/y. What is the closest to 1 in -2/3, 2/11, w? w Let g be 4/8*-1*-24. Let k be g/18*10/(-4). Let y be ((-2)/(-28))/((-2)/4). What is the nearest to 1 in k, y, -0.1? -0.1 Let v = -2812.3 + 2812. Which is the nearest to 1? (a) v (b) -2/71 (c) 0 (d) 4 c Let i = 0.6732 + -0.2732. Which is the nearest to -0.3? (a) i (b) -0.08 (c) -3 b Let n(q) = 2*q**2 + 19*q - 191. Let t be n(6). Which is the closest to -1/9? (a) 2 (b) -4 (c) t a Let h = -640 + 640.045. Let g = h - 6.045. Which is the nearest to 0.1? (a) 0 (b) g (c) -0.5 (d) -4/3 a Suppose 5*n = -3*s + 13, 0 = -n + 3*s - s. Let y = 28 - 53. Let i = 29 + y. What is the nearest to 1/6 in 0.4, n, i? 0.4 Let w = 2145/7504 + -1/7504. Suppose -5 = -2*g - 3*g. Which is the nearest to w? (a) g (b) 1/3 (c) 1.5 b Suppose -2*x + 5 = 1. Suppose x*y = 8*y + 24. Let h = -239 + 244. Which is the nearest to y? (a) h (b) -1/3 (c) -1 c Let v = -6.5 + 4. Let o be (-9 - (9 - 1161/63))*6/9. Which is the nearest to v? (a) -3 (b) -1/2 (c) o a Let q be (313/3)/((-54)/(-162)). Let f = q - 313. Which is the closest to f? (a) 21 (b) 5 (c) -3 c Let q be (-22)/10 - (-12 + (2 - -7)). Which is the nearest to 1/7? (a) -0.1 (b) -0.3 (c) q (d) -3/4 a Let k = -43913/9 + 4879. What is the closest to -1/3 in -3, -0.01, k? k Let q = 3460 - 3465. Which is the nearest to 0? (a) -4/9 (b) -19.5 (c) -3/2 (d) q a Let u be (1/3)/(4/(-6)). Let k = 79 - 74. Let o be (-19 - -20) + 4 + -6 + 4. Which is the closest to u? (a) k (b) o (c) -1/5 c Let p = 32 - 16. Let t be (-3)/(-2)*p/(-6). Let r be (-690)/(-575) + 29/(-20). Which is the nearest to 1/2? (a) r (b) -2/3 (c) t a Let w = 12348 + -49393/4. Let u = -2.1 - -2.6. Which is the closest to -0.1? (a) 4 (b) u (c) 1/6 (d) w d Let z = -0.089 + -8.811. Let a = -8.8 - z. Let i be 9/12*2/(-3). What is the closest to 1/4 in -4, a, i? a Let z = -1.03 + -103.97. Let u = z - -106. What is the closest to u in 20, -4, 3? 3 Let n = -0.69 + 0.73. Let k = n - 6.04. What is the nearest to 0.1 in 5, -5/6, k? -5/6 Let k = 7.685 - 16.685. Which is the nearest to -0.5? (a) k (b) 1 (c) 1/4 c Let y = 23807/63528 - -2/7941. Which is the closest to 0.8? (a) -3/2 (b) -45 (c) 0.1 (d) y d Let w = 77992/5 - 15599. What is the closest to 0.1 in w, -1/5, -3, -162? -1/5 Let n = -81 + 159/2. Let g be (-1127)/(-2070) - 7/(-126). Which is the closest to -1/4? (a) -0.25 (b) n (c) g a Let t = -5700 - -5700. Which is the closest to 0.4? (a) t (b) 0.1 (c) -1/2 b Let x = 1140 - 1756. Let b = x + 615.8. What is the closest to -0.09 in 0, 3, 2, b? 0 Let k = -0.11234 - -0.51234. Which is the nearest to 3? (a) k (b) -353 (c) -5 a Let k = 6030 - 6031. What is the nearest to -2 in k, -23.1, 1? k Let g be (-54)/16 + (-15)/10*-2. Suppose -5*j = 5*w - 30 + 50, -2*j = 3*w + 7. What is the closest to w in g, 1, -10? 1 Let n = -6.82 - 4.18. Suppose -4 = m + 4*z, 0 = 2*m - z + 2*z + 8. Which is the nearest to -2/7? (a) m (b) 1/4 (c) n b Let j = -36166 - -36170. What is the closest to 0 in -12.2, 3/5, j, -5? 3/5 Let k(z) = -207*z + 202. Let v be k(1). Which is the nearest to -1? (a) v (b) 0.14 (c) 14 b Let t = 298/5 - 60. Let c = 389 + -388.8. What is the closest to 0 in 4/3, t, c? c Let l(w) = -49*w - 251. Let f be l(-5). Let b be (-4)/28*-10*f/(-30). Let d = -0.2 - -4.2. What is the closest to 2/5 in b, 1/4, d? b Suppose 0 = n + y - 34, 2*y - 6*y - 68 = -2*n. Let s = 29 - n. Let l be 7/s + 1 - (-22)/80. Which is the nearest to 1? (a) l (b) -4/7 (c) 1 c Let t = -499/52 + 39/4. Let a = -788.14 - -788.14. What is the closest to t in 0.3, 5, a? 0.3 Let d = 345 + -343. Let q be (-3)/12 + (-16689)/(-132). Let k = -126 + q. What is the nearest to d in 2, k, 9? 2 Let u = 12 - -35.4. Let r = -46.9 + u. What is the closest to 0 in r, -2/17, 14? -2/17 Let f = 5822.3 - 5822. Which is the closest to 0.1? (a) -5 (b) 0.09 (c) f b Let w = -16881 + 16879. What is the nearest to -3 in 6, -0.2, 0, w? w Suppose -48 = 5*z + 5*f - 18, 0 = -z - 4*f. Suppose -4*v = 3*j - 3, -2*v = -2*j + 4*j - 4. Which is the nearest to -1? (a) j (b) -0.05 (c) z b Suppose 4*t - v - 16 = 0, 6*t - 4 = 5*t + 5*v. Let l = -1143 + 1148. Which is the nearest to -0.1? (a) l (b) -3 (c) 3/5 (d) t c Let w = 1392 - 1397. What is the nearest to -2 in -4, w, 4, 1/2? -4 Let f = 1.753 - 1.633. Let i be (-2)/(-14)*56/(-48). Which is the nearest to -1/3? (a) f (b) 2 (c) i c Suppose 0 = -23*m + 13*m + 90. Let r be (-7)/(-21)*2*m/(-30). Let y = -0.35 + 0.05. Which is the nearest to -2/5? (a) r (b) y (c) 2/11 b Let v = -0.1 + -0.4. Suppose 181*w - 173 - 19 = 117*w. Which is the nearest to w? (a) 1 (b) 0.2 (c) v a Let u = 18 + 10. Let z = u - 26. Let p = -0.121 - -1.121. Which is the closest to p? (a) 16 (b) 1 (c) z b Let r = -383.5 - -383.6. Which is the nearest to -1/3? (a) r (b) -0.3 (c) -38 (d) -1/6 b Let h = 22857 + -22862. What is the closest to 0.1 in -1/7, -0.4, h, 949? -1/7 Let t = -1612.9 + 1616.9. Which is the closest to -15/4? (a) 0.13 (b) t (c) -2/3 c Let d = -4572 + 4572.5. What is the nearest to 79 in -0.5, -1/5, d, -5? d Let l = 3.7 - 3.7. Let k be 8 - -3 - (-736)/(-69). What is the closest to l in 3/4, 3, k, 2? k Let j = -0.77 - -0.8. Let r = 0.37 + j. Let x = -398.5 - -398.1. What is the nearest to 3 in -0.5, x, r? r Let s be (-2278)/(-14) + -7 - -6. Let v = 162 - s. Let g = -9 - -4. Which is the nearest to v? (a) -2/7 (b) 4 (c) g a Let s = 2130 - 2083.76. Let o = s + -46. Let z = 0.54 - o. What is the closest to z in -1, 5, -2/13? -2/13 Let n = -12.5 - 13.5. Let w = 325.4 - 299. Let j = w + n. What is the nearest to -0.4 in -0.4, -2/9, j? -0.4 Suppose -3*y + 2*r = -14, -2*y - 3*r + 8 = -4*r. Let t be y/(-6)*(-29)/(-3) - -3. Which is the nearest to 3/4? (a) 2 (b) 1/2 (c) t b Let j = -4 + -1. Let x = 232.36 - 230.56. Which is the nearest to -3? (a) 2/11 (b) j (c) x b Suppose -y + 3 = -4*y. Suppose 2*k + 22 = 46. Suppose 23*m - 55 = k*m. What is the closest to y in -1, m, 0? -1 Let h = -426.895 + 423. Let x = -0.105 + h. What is the nearest to 21 in -2/3, 2/5, x? 2/5 Let i = 73.3 - 73. Let y be ((12/5)/(-3))/((-21)/(-105)). Which is the nearest to -2/5? (a) i (b) y (c) -2 a Let h = 673 + -
{ "pile_set_name": "DM Mathematics" }
. -114*c Expand (-9 + 0*a + 3*a + 14)*(-2*a**2 + 3*a**2 - 3*a**2). -6*a**3 - 10*a**2 Expand (-19*z + 19*z - z**2)*(4*z + 2*z - 4*z). -2*z**3 Expand -2*o**2 - 3*o**2 - 11*o**2 + (-1 + 3*o + 1)*(-2 - 2*o + 2). -22*o**2 Expand (4*v + 1 - 1)*(-29 + 59 - 29). 4*v Expand -p**4 - 2*p**4 - 2*p**4 + (-3*p**2 + 0*p**2 + 2*p**2)*(-3*p**2 + p**2 + p**2) + 3*p**4 - p**4 + 7*p**4. 5*p**4 Expand (c + 4 - 4)*(c**2 + 3*c**2 - 3*c**2)*(-4 + 1 + 1)*(-4*c**2 + 4*c**2 - c**2). 2*c**5 Expand -3*u**2 + 2*u**4 + 3*u**2 + (-2 + 2 + 2*u**3)*(3*u - 2*u + 0*u) - 2*u**4 - u**4 + 5*u**4. 6*u**4 Expand 3*g**3 - g**3 - 5*g**3 + ((1 - 1 + 2*g)*(3 - 3 - 2) + 3 + 2*g - 3 - 2*g + 3*g + 0*g - g - g - 4*g)*(-2*g**2 + 0*g + 0*g). 11*g**3 Expand (-2*o + 3 - 3 + (1 + 3 - 2)*(-o - 2*o + 4*o) - 2 + 2 + o)*(1 - 1 - o). -o**2 Expand (-3 + 0 - 1)*(-3 + 1 + 0)*(-4*s + 3*s - s). -16*s Expand (7 - 2 - 1 + 2*r)*(0 - 2 - 3). -10*r - 20 Expand -2*b**2 - 3*b**2 + 4*b**2 - b**2 - 1 + 1 + (2*b**2 - 3*b**2 + 4*b**2)*(1 - 2 + 3) + 0*b**2 + b**2 - 2*b**2. 3*b**2 Expand (-2*r + 5*r - r)*(4 + 60*r**2 + 2 - 6). 120*r**3 Expand (-2 + 0 + 0)*(-5*u**4 + 2*u**4 + 2*u**4)*(-4 + 7 + u - 2) + 2*u**5 - 5*u**5 + 2*u**5. u**5 + 2*u**4 Expand (-q**2 + 0*q**2 + 0*q**2)*(-q + 3*q**2 + q) - 3*q**4 - 13*q + 13*q + (0*q**3 + 0*q**3 - 2*q**3)*(4*q + 0*q - 3*q). -8*q**4 Expand (-3 + 3 - 2*v)*(v**2 - 95*v**2 + 2*v**2 - 13*v**2). 210*v**3 Expand 3*l - 3*l + 2*l**4 + 6*l**4 - l**4 - l**4 + (-2*l + 3*l - 3*l)*(2*l + l**3 - 2*l). 4*l**4 Expand (-33*k**2 + 33*k**2 + 28*k**4)*(-1 - 2*k + 1). -56*k**5 Expand (3 + 3*b - 3)*(-3 + 3 + 1) - b + 1 - 1. 2*b Expand (2 - 1 + 2)*(i**3 + i**3 - 3*i**3)*(2 + i - 2). -3*i**4 Expand (-2 - 3*g + 2)*(3 + 3 - 2)*(-g + g - 5*g**2). 60*g**3 Expand -5*f**4 + f**4 + 3*f**4 + (-3 - 1 + 3)*(-3 + 3 - 2*f**4) + f**4 + 4*f**4 - 4*f**4 - 6*f**4 + 3*f**4 + 4*f**4 + (0 + 0 + 3*f)*(0 + 0 + 2*f**3). 9*f**4 Expand (-w + 3 - 3)*(4 - 4 - w**3)*(6 - 6 - 15). -15*w**4 Expand (4*m**3 + 2*m**3 - 11*m**3)*(2*m - 3*m - 1 + 2*m)*(2 - 3 + 0). 5*m**4 - 5*m**3 Expand (1 + 3 - 5)*(2 - 2 + q) - 4*q + 14 - 14. -5*q Expand (1 + 14 + 0)*(-3*r + 4*r - 4*r). -45*r Expand -y**5 + 1 - 1 + (0 + y**2 + 0)*(-4*y**3 - y**3 + 10*y**3). 4*y**5 Expand (-q**2 - 1 + 3 - 4)*(q + 0*q - 9*q). 8*q**3 + 16*q Expand (-32 - 13 + 112 - 24)*(2*s - s - 2*s). -43*s Expand 2 + 7*z - 2 - z + 4*z - 2*z + (3 - 5 + 0)*(-5*z + 2*z + 2*z) + 0*z + 2*z + 0*z + 5*z - 2*z - 2*z + 6*z - 3*z - 5*z. 11*z Expand (-2 + 1 + 3)*(-6*n + 3*n + 5*n). 4*n Expand 0*i**4 + 2*i**4 - i**4 + 0*i + 0*i - i**4 + (5*i - 3*i + 0*i)*(i - i - 2*i**3) + 16*i**4 + i**2 - i**2. 12*i**4 Expand -1 - j**4 + 1 + (2*j - 2*j + j**2)*(2*j**2 + 2*j**2 - 2*j**2)*(-1 - 1 - 3). -11*j**4 Expand (0 - 4 + 5)*(v + 2*v - 5*v)*(0*v**4 - v**4 - v**4). 4*v**5 Expand (-2 + 2*h + 2)*(10*h - 6*h + 5*h)*(1 - 1 - 3)*(-h + 3*h - h). -54*h**3 Expand (-3 - s + 4 + 3*s)*(-12 + 13 - 34). -66*s - 33 Expand (-g - 5*g + g)*(g**4 - 2*g**4 + 3*g**4) - 2*g**5 + 3*g**5 - 2*g**5. -11*g**5 Expand 2*d**2 + 3*d**2 - 3*d**2 + (2*d**2 + 0*d**2 + 0*d**2)*(-2 + 1 + 2) + 0*d**2 + 0*d**2 - 2*d**2 + 16*d**2 - 10*d**2 - 12*d**2. -4*d**2 Expand (-4 - 1 + 3)*(-f + 0*f + 3*f) - f + 0 + 0 - 8 + 4*f + 8 + 3*f - f + 2*f. 3*f Expand (3*o**2 - 3*o**2 - 4*o**2)*(-2 + 3 - 2 - 1 + 0 - 1 + 1 + 0 - 2 - 1 + 5 - 2 + (4 - 2 + 0)*(-2 + 1 + 0) - 1 + 4 - 1 + 2 + 3 - 3 + 5 - 2 - 2). -4*o**2 Expand (9*w - w + 0*w)*(2*w - w - 5*w). -32*w**2 Expand -z + z - 2*z + (-3*z + 0*z + z)*(-2 + 4 - 3) + 3*z - 3*z - z - 2*z - 3*z + z + 0 + 2*z - 4 + 3 + (3 - 3 - z)*(6 + 1 - 1). -9*z - 1 Expand 7 - 7 + 2*k + (k + 0*k - 3*k)*(3 + 1 - 3) - k + 2*k + 0*k. k Expand -3*j**2 + 2*j**3 + 3*j**2 + (4 - 6 + 4)*(-j**3 - 4*j**3 + 6*j**3) + (-3*j**2 - j**2 + 20*j**2)*(-3*j + 0*j + 4*j). 20*j**3 Expand (4*r + 0*r - r)*(-3 + 3 - 2) - 4*r + 5*r - 3*r + 2*r + 2*r - 3*r + (-2 - 2*r + 2)*(-1 + 3 + 0) + r + 0 + 0. -10*r Expand (-15*s + 15*s - 52*s**2)*(3*s - 2*s**2 - 3*s + s). 104*s**4 - 52*s**3 Expand -7*z - z + 4*z + (4*z - 4*z + z)*(2 - 5 - 3). -10*z Expand s**4 - 3*s**4 + 0*s**4 - 13*s**4 + 56*s**2 - 56*s**2 - s**4 - 17 + 17 + (3*s - 3*s - s**2)*(-2*s**2 + 0*s**2 + 3*s**2). -17*s**4 Expand (4 + i - 4)*(-1 + 8*i - 3*i + 3). 5*i**2 + 2*i Expand (4*g**3 + g**2 + 3*g**3 - 6*g**3)*(-5*g - 2*g + 3*g) + 3*g**4 - 3*g**4 - 2*g**4. -6*g**4 - 4*g**3 Expand 4*k**5 - k**5 - 2*k**5 + (-2*k**5 + 3*k**5 - 4*k**5)*(-3 + 4 + 0). -2*k**5 Expand (0 - 2*g**3 + 0)*(-1 + 0 + 11*g + 3). -22*g**4 - 4*g**3 Expand (1 - 1 + 2)*(-3*u**4 + 5*u**4 + 0*u**4) + 2*u**4 + 2*u**4 - 2*u**4 + u**4 + 4*u**4 + u**4 - u**4 + 3*u**4 - 3*u**4. 11*u**4 Expand (3 - 3 - j**2)*(3*j**3 - 2*j**3 - 3*j**3) + j**5 + 3*j**3 - 3*j**3. 3*j**5 Expand -4*o**4 - 4*o**4 + 5*o**4 + (4*o - 2*o - 4*o)*(3*o**3 + 2*o**3 - 6*o**3). -o**4 Expand -2*i**2 - 15*i + 20*i + 3*i**2 + (-2*i + 7*i - 3*i)*(3 + 2*i - 3). 5*i**2 + 5*i Expand (0 - 1 + 0)*(-15*g - g + 8*g). 8*g Expand (9*t - 3*t - 5*t**2 + 4*t**2)*(-2*t + 2*t + t**3). -t**5 + 6*t**4 Expand (4*d**2 + 6*d**2 - 38*d**2 + (3*d - 2*d - 3*d)*(-d - d + 0*d))*(-3*d**2 - 2*d**2 + 2*d**2). 72*d**4 Expand (0*o + o + 0*o)*(o**4 + 0*o**4 + o**4) + 4*o**4 - 4*o**4 + o**5 + (0 + 0 + 2*o**5)*(-1 + 2 - 2). o**5 Expand (0*x**3 - 4*x**3 + 5*x**3)*((2 + 3 - 6)*(-1 + 2 + 1) + 2 - 1 - 6)*(-4*x**2 - x**2 + 4*x**2). 7*x**5 Expand (-2 - 11*l**2 - 14*l**2 + l**4 + 26*l**2)*(-l + 4*l - l). 2*l**5 + 2*l**3 - 4*l Expand (2*l + 2*l - 3*l)*(3 - 3 + 2*l**3) - 6*l**4 - 52*l**2 + 52*l**2. -4*l**4 Expand (-2*t**2 - t**2 + 9*t**2)*(t - 2*t + 0*t) - 3*t**3 + 0*t**3 - 2*t**2 + 5*t**3. -4*t**3 - 2*t**2 Expand 0*g**3 + 0*g**3 + 2*g**5 + (-3*g**2 + 0*g**2 + 5*g**2)*(3*g**3 - 6*g**2 + 6*g**2) + 2*g - 2*g + 6*g**5. 14*g**5 Expand (2*m**3 + m**3 - 4*m**3)*(0*m + 4*m - 2*m + (-2 - 1 + 1)*(m - 4*m + 2*m) + 0 - m + 0) + 2*m**4 - 2*m**4 + m**4. -2*m**4 Expand (-2 + 0 + 0)*(v**4 + 2*v**4 + 0*v**4) + 5*v**4 - 6 + 6. -v**4 Expand 2*i**3 + i**3 - 2*i**3 + (1 + 2 - 1)*(-5*i + 5*i - 2*i**3 + (5*i**2 - 2*i**2 + 0*i**2)*(i - 2*i + 3*i)). 9*i**3 Expand (3*h + 3*h - 5*h)*(1 + 0 + 0) - 12*h + 6*h - 5*h - h - 4*h + 3*h. -12*h Expand (-20*i**2 + 13*i**2 + 13*i**2)*(-i + i + 2*i). 12*i**3 Expand (0 - 1 + 2 + (-1 + 0 + 3)*(2 + 0 - 1) + 1 + 1 - 3 - 5 + 1 + 3)*(-9 + 9 - 5*p). -5*p Expand ((2*g + g - 2*g)*(2 - 3 - 1) + 0*g + 0*g + g)*(6*g**2 + 66 - 66). -6*g**3 Expand (-2*k**2 + 0*k + 0*k)*(0 - 3 - 3). 12*k**2 Expand (2 - 2 + k**2)*(0*k + 0*k + 2*k**3) - 3*k**3 + 2*k**5 + 3*k**3 + 14*k**5 - 6*k**4 + 6*k**4 + (4*k**4 - 5*k**4 + 3*k**4)*(5 + 2*k - 5). 22*k**5 Expand u**4 - 5*u + 5*u + 2*u**4 - 2*u**4 - 3*u**4 + (2 - 2 + 2)*(2*u**4 + 4 - 4) - 4*u**4 + 6*u**4 + u**4. 5*u**4 Expand (2*q**3 + q**3 - 2*q**3)*((2 - 2 + 2*q)*(-5*q + 4*q + 3*q) + 5*q**2 + 0*q**2 - 3*q**2). 6*q**5 Expand (10*p + 17 - 17)*((-4 + 3 - 1)*(-1 + 0 + 2) - 1 + 2 + 1 - 3 + 3 + 1). 10*p Expand (2*p**2 - 4*p**2 - p**2)*(3 - 1 - 1) - 11 - 3*p**2 + 11 + 0*p**2 - p**2 + 3*p**2 - p**2 + 2*p - 2*p + (-2 + 5 - 5)*(1 + 2*p**2 - 1). -9*p**2 Expand (-1 + 3 + 0)*((z**2 - 3*z**2 + 3*z**2)*(-5*z**2 - 2*z + 2*z) + (3*z**3 + z**3 - 2*z**3)*(4*z + 3*z - 5*z)). -2*z**4 Expand -2*i**2 - 4*i + 4*i + (-i + 2*i + 5*i)*(-3*i + 3*i - i). -8*i**2 Expand -3 + 19*u**2 + 4 + 4*u**2 + 2 - 2 + u**2 + 0*u + 0*u + 2*u**2 + (-u**2 + 0*u + 0*u)*(-4 + 1 + 1) - 2*u + u**2 + 2*u. 29*u**2 + 1 Expand (4*r**2 - 2*r**2 - r**2)*(r**3 + 3*r**3 - 3*r**3) + (-4 + 4 + 2*r**2)*(-4*r**3 - r**3 + 3*r**3) + 2*r**5 + r**5 - r**5 - r**3 + r**3 + 2*r**5. r**5 Expand (0 - 1 - 3*g + 0)*(-5 - 5*g - 2*g + 3). 21*g**2 + 13*g + 2 Expand 4*m**4 - 3*m**4 - 2*m**4 + (m - 12*m + 0*m)*(-m**3 - 2*m**3 + 4*m**3) + 0*m + 0*m - m**4 + 0 - 2*m**4 + 0. -15*m**4 Expand 3*x**5 + 0*x**5 - 4*x**5 + x**5 + 0*x**2 + 0*x**2 + (-2 + 4 - 4)*(5*x**2 - 5*x**2 - 2*x**5). 4*x**5 Expand (-3*h + h + 4*h)*((-2 + 0 + 0)*(-4 + 0 + 2) + 3 + 0 + 2 - 5 + 3 + 3). 20*h Expand 4*l + l**2 - 4*l + (2*l + 0 + 0)*(-4*l - l + 3*l) + l**2 - 6*l**2 + 0*l**2. -8*l**2 Expand (2 + 5 - 6)*(-2 + 2 + 1)*(w + w - 5*w)*(-6 + 22*w**4 - 18*w**4 + 2). -12*w**5 + 12*w Expand 74 - 74 + 71*t + (-4 + 2 + 4)*(-t + 5*t - 2*t) + 1 - t - 1. 74*t Expand -2*o**2 + 3*o**4 + 2*o**2 + o**4 + o - o + (-o**2 + o**2 - 2*o**3)*(5*o - 2*o - 2*o) + 1 - 1 + 2*o**4. 4*o**4 Expand (-5*v**3 + 3*v**3 + 4*v**3 + (-3 + 4
{ "pile_set_name": "DM Mathematics" }
9, -9359? -10521 What comes next: 111, 278, 455, 648, 863, 1106, 1383? 1700 What is next in 1586, 3232, 4940, 6704, 8518? 10376 What comes next: 17, 161, 417, 839, 1481, 2397, 3641? 5267 What is next in -77961, -155939, -233931, -311943, -389981, -468051, -546159? -624311 What comes next: -308, -263, -214, -161, -104, -43, 22? 91 What is the next term in -299, 948, 2193, 3436, 4677, 5916? 7153 What is next in -740, -1508, -2276, -3044? -3812 What is the next term in -130, -197, -264? -331 What comes next: -29, 175, 741, 1849, 3679, 6411? 10225 What comes next: 187, 161, 139, 121, 107, 97, 91? 89 What is next in 64, -80, -326, -674, -1124, -1676, -2330? -3086 What comes next: -48317, -48404, -48491, -48578, -48665, -48752? -48839 What comes next: -2316, -2327, -2352, -2397, -2468, -2571, -2712? -2897 What comes next: -19361, -19356, -19351, -19346? -19341 What comes next: -674, -745, -864, -1031, -1246, -1509, -1820? -2179 What is next in 89307, 89310, 89315, 89322, 89331, 89342? 89355 What comes next: 8638, 8647, 8662, 8683? 8710 What comes next: -5190418, -5190419, -5190420, -5190421? -5190422 What is next in 57104, 228382, 513838, 913472? 1427284 What is next in -6521, -6580, -6639, -6698, -6757? -6816 What comes next: 739966, 1479938, 2219922, 2959924, 3699950, 4440006? 5180098 What is the next term in 395, 1516, 3387, 6008, 9379, 13500? 18371 What is the next term in 393885, 393887, 393889, 393891, 393893? 393895 What is the next term in 1543, 1559, 1577, 1597? 1619 What comes next: 4218, 8386, 12552, 16716, 20878, 25038, 29196? 33352 What comes next: 2115, 4319, 6511, 8685, 10835, 12955, 15039, 17081? 19075 What is next in 474620, 949239, 1423856, 1898471, 2373084, 2847695? 3322304 What is next in -1007027, -2014053, -3021079, -4028105, -5035131? -6042157 What comes next: -1318099, -1318095, -1318093, -1318093? -1318095 What is next in 157, 309, 437, 529, 573, 557? 469 What is the next term in 50970, 101942, 152914? 203886 What is next in -11554, -23123, -34714, -46339, -58010? -69739 What comes next: 424, 1382, 2972, 5188, 8024, 11474? 15532 What comes next: 55, 108, 279, 610, 1143, 1920, 2983? 4374 What comes next: -6819, -6851, -6883? -6915 What comes next: -3288, -6116, -8944, -11772, -14600? -17428 What is next in 13, 342, 1245, 3010, 5925, 10278, 16357? 24450 What is next in 896415, 1792829, 2689257, 3585705, 4482179, 5378685? 6275229 What is next in -323, -358, -397, -440, -487? -538 What is next in -91707, -91705, -91703? -91701 What is next in -165545, -331089, -496633, -662177, -827721, -993265? -1158809 What is the next term in 435, 454, 473, 492? 511 What is the next term in -1, -202, -739, -1780, -3493, -6046? -9607 What is next in 236, 448, 674, 914, 1168, 1436, 1718? 2014 What comes next: 10139, 10214, 10289? 10364 What is the next term in 22, -1419, -3822, -7187, -11514, -16803, -23054? -30267 What is the next term in 311, 276, 173, -34, -381, -904? -1639 What comes next: 87, 74, 53, 24, -13, -58? -111 What is the next term in -1085, -2106, -3045, -3860, -4509? -4950 What is the next term in 22, 61, 154, 331, 622? 1057 What is next in 14768, 29456, 44146, 58838, 73532, 88228, 102926? 117626 What is the next term in 188451, 376888, 565325, 753762, 942199? 1130636 What comes next: -46224, -92406, -138578, -184734, -230868, -276974, -323046? -369078 What is the next term in 4771, 4841, 4911? 4981 What is next in 8532, 17283, 26480, 36345, 47100, 58967, 72168? 86925 What comes next: -3125, -3415, -3703, -3989, -4273? -4555 What is next in -1024701, -2049395, -3074087, -4098777? -5123465 What is next in 3006, 6003, 8994, 11979? 14958 What comes next: -36191, -144767, -325727, -579071, -904799? -1302911 What comes next: 5102, 5105, 5118, 5147, 5198, 5277? 5390 What is the next term in -53, -180, -307, -434, -561? -688 What is the next term in -1230, -1054, -842, -576, -238? 190 What comes next: 130, 180, 228, 274, 318? 360 What is the next term in -738653, -738652, -738651, -738650? -738649 What is the next term in -3864, -15442, -34734, -61734, -96436? -138834 What is the next term in 1726, 1883, 2136, 2479, 2906, 3411, 3988, 4631? 5334 What is next in -66641, -66667, -66715, -66791, -66901? -67051 What comes next: 7170, 13302, 19434? 25566 What comes next: 5640, 5650, 5660, 5670? 5680 What comes next: 91, 205, 315, 421, 523, 621? 715 What is next in -68164, -136359, -204556, -272755, -340956, -409159? -477364 What comes next: 17, 506, 1823, 4382, 8597, 14882, 23651? 35318 What is the next term in 45, 275, 707, 1341, 2177? 3215 What is the next term in -183, -371, -555, -735, -911? -1083 What is next in 75, 446, 1071, 1950, 3083, 4470, 6111? 8006 What is the next term in 128, 56, -26, -88, -100, -32, 146? 464 What comes next: -338, -1320, -2950, -5228, -8154, -11728, -15950? -20820 What comes next: 13039, 52170, 117389, 208696, 326091, 469574? 639145 What is next in 22360, 22357, 22354, 22351, 22348? 22345 What is next in 4620, 4578, 4476, 4308, 4068, 3750, 3348, 2856? 2268 What is next in 578, 553, 490, 371, 178, -107? -502 What is the next term in 18143, 18158, 18171, 18182, 18191? 18198 What comes next: -10859, -10885, -10929, -10997, -11095, -11229? -11405 What is next in 641, 755, 869, 983, 1097? 1211 What comes next: 17699, 17692, 17699, 17726, 17779? 17864 What is next in 499932, 499930, 499928, 499926? 499924 What is the next term in 474, 507, 542, 579, 618, 659, 702? 747 What is next in 3792, 7588, 11386, 15186, 18988, 22792, 26598? 30406 What comes next: 3593, 3553, 3493, 3413? 3313 What is next in 167, 328, 495, 668, 847? 1032 What is next in -460, -2290, -5340, -9610, -15100, -21810, -29740? -38890 What comes next: -425934, -425931, -425928, -425925, -425922, -425919? -425916 What comes next: 734839, 734838, 734837, 734836, 734835, 734834? 734833 What comes next: -76, -279, -620, -1099, -1716, -2471? -3364 What is next in 2, -37, -80, -127, -178, -233? -292 What is next in -663, -1316, -1959, -2586, -3191, -3768? -4311 What is the next term in 641, 378, 125, -112, -327, -514, -667, -780? -847 What comes next: 6778, 6783, 6788, 6793, 6798? 6803 What is next in 1920, 3137, 4354, 5571? 6788 What is the next term in 32, 288, 1042, 2564, 5124, 8992, 14438, 21732? 31144 What is next in -331, -424, -517, -610, -703? -796 What comes next: 671, 1951, 3231, 4511? 5791 What comes next: -277306, -277310, -277314, -277318, -277322, -277326? -277330 What comes next: 2282, 4551, 6802, 9035, 11250, 13447, 15626? 17787 What comes next: -409, -774, -1125, -1462, -1785, -2094? -2389 What is next in -6199, -12416, -18655, -24928, -31247, -37624? -44071 What is next in -256, -277, -316, -379, -472, -601, -772? -991 What is next in 5445, 5461, 5485, 5517? 5557 What is next in 983, 4023, 9085, 16163, 25251? 36343 What is next in -145, -278, -427, -598, -797, -1030? -1303 What is next in 11065, 22127, 33189, 44251? 55313 What is the next term in -726, -3036, -6934, -12420, -19494? -28156 What is next in -59876, -119751, -179626? -239501 What is next in 879, 1033, 1185, 1335? 1483 What is the next term in 624, 1267, 2988, 6327, 11824? 20019 What is the next term in -33119, -33126, -33123, -33104, -33063, -32994, -32891? -32748 What is next in -1845893, -1845894, -1845895? -1845896 What comes next: -53077, -53074, -53071, -53068, -53065, -53062? -53059 What is next in -1118, -2231, -3344, -4457? -5570 What is the next term in 3114, 2932, 2748, 2562, 2374, 2184? 1992 What comes next: 578, 1134, 1712, 2312? 2934 What comes next: -6586, -13205, -19824, -26443, -33062? -39681 What is the next term in 7877, 31492, 70865, 126008, 196933, 283652, 386177? 504520 What comes next: 3064, 6151, 9236, 12319, 15400, 18479, 21556? 24631 What comes next: 12276, 12319, 12390, 12489, 12616? 12771 What is the next term in -25894, -51786, -77678, -103570, -129462, -155354? -181246 What is next in 4155, 4178, 4221, 4290, 4391? 4530 What comes next: 104, 349, 578, 647, 412, -271, -1546? -3557 What is next in 9575, 38361, 86337, 153503, 239859, 345405? 470141 What is next in -35, -27, 1, 61, 165? 325 What is next in 1926, 1914, 1904, 1896, 1890? 1886 What comes next: -137, -260, -447, -698, -1013, -1392, -1835? -2342 What is next in -76, -122, -138, -124, -80
{ "pile_set_name": "DM Mathematics" }
4)*l*l)**(-21)/(l/(l*l**(-21))*l*l**(2/67)))**4 assuming l is positive. l**(-24195/67) Simplify ((((d**(2/3))**(-35))**(2/31))**(-2/97))**(7/5) assuming d is positive. d**(392/9021) Simplify (((p*p/(p*p**(-9)*p)*p*(p/(p**(-2/29)/p))/p)**(9/7))**(-39))**31 assuming p is positive. p**(-3492801/203) Simplify (b**(1/3))**(-7/3)*b*b/(b*b**(3/8))*b**(-4/9)*(b**(5/4)*b/b**(-4))/((((b**(4/11)*b)/b)/b)/(b*b**(2/3))) assuming b is positive. b**(6301/792) Simplify q**(6/5)*q**(1/2)*((q/q**(-1))/q)/(q**(-1/2)*q)*(q*q**(-2/5))/q*q*q**4*(q**1/q)**(-21) assuming q is positive. q**(34/5) Simplify (x/(x*x/(x*x*(x/(x/(x*x**(-7/5))))/x))*x/x**(-13)*(x*(x**(-5/6)*x)/x*x)/x*x*(x/x**5)/x*x)**(2/9) assuming x is positive. x**(323/135) Simplify ((u/(u*u**0))**(-7/4)/(u**1/(u/((((u**(-3/7)*u)/u*u*u)/u)/u))))/((u*u**(1/2))/u**(-6))**(-1/7) assuming u is positive. u**(3/2) Simplify ((c/((c**(1/4)*c*c)/c)*c)/((c/(c/(c/(c**1/c)*c*c)*c*c))/c)*(c/(c/c**(-2/15)))/(c*(c**2/c)/c))/(c**(-2/7)/(c**5/c))**(8/7) assuming c is positive. c**(13273/2940) Simplify ((l*l/(l*l*l/l**(1/13))*l*(l/(l/(l*l**(2/21)*l)*l))/l)/(l**(-6/7)*l*l**(15/11)))**(6/5) assuming l is positive. l**(-8014/5005) Simplify ((k**(5/2))**(2/85)*k**(19/3)*k**10*k*k)**(3/13) assuming k is positive. k**(938/221) Simplify (p*p*(p/(p/(p*p**0)))/p*p)**9/(p*p**2)**24*p**2/p*p**4*(p**(-9)*p*p*p)/(p*p**(4/3)) assuming p is positive. p**(-145/3) Simplify ((k*k**(-5/2)*k*k/k**(2/25))/(k/((k**(2/33)*k)/k)*k**(-1/2)/k))**(-50) assuming k is positive. k**(-1618/33) Simplify ((i*i/(i**(-26)*i))/(i/((i**(-1/8)*i)/i)))/(i**(-35))**22 assuming i is positive. i**(6367/8) Simplify ((k/k**(1/3))/(k/(k**(-2)*k)*k)*(k**1)**(-30))/((k**(-3))**(8/3))**(-14/5) assuming k is positive. k**(-821/15) Simplify (n/n**(-2/7)*n*n**(-5)*(n*n**(8/5))/(n*n**(-2/5)))/((n**(2/9)/n)**(-40)/((n*n*n*n/(n**(-8)/n))/n**(-6))) assuming n is positive. n**(-808/63) Simplify (t*t/(t**(-11)*t*t*t)*t*(t/(t/(t/(t**(-11)*t))))/t*t*(t**(-4))**(-2/43))**13 assuming t is positive. t**(12402/43) Simplify (s/(s*s*s**(-4)*s)*s**(-7)*s)/(s*s*s**(-6)*(s**(3/2)/s)/s)*(s*s**0*s*s)**(-4)/(s*s**(-1)*s)**(-8/3) assuming s is positive. s**(-53/6) Simplify ((s*s/s**(1/3)*s)**2*s**(2/7)/s**(-4))/(s**(-1)*s**(-2))**49 assuming s is positive. s**(3289/21) Simplify (l**0)**(-1/37)*l**7*l**1*(l**(1/15)*l*l*l**(-1/11)/l)**(1/28) assuming l is positive. l**(5303/660) Simplify (a**(-6)/(a**(-1/3)/a))**28/((a**0)**44/(a**4*(a*(a/(a*a**(2/11)))/a)/a)) assuming a is positive. a**(-4219/33) Simplify (((l*l/((l**(-1/3)*l)/l*l*l)*l)**2/(l**0)**(13/5))**13)**3 assuming l is positive. l**104 Simplify ((n/(n**(1/7)/n))/(n**6*n*n))**(-50)*((n/(n/n**(-5/2)))/(n*n**(-3/7)))/(n**(5/4)/n**(-1/2)) assuming n is positive. n**(8465/28) Simplify s**(-5)*s**(-1/5)*s/((s**(2/9)*s)/s)*s/s**6*s*(s**(-4)/(s*s**(1/6)))**(-50) assuming s is positive. s**(11246/45) Simplify (((g/(g/(g*((g**(-2/5)*g)/g)/g)))/g)**(-8/5)*(g*g/g**(-1))**25)/(g**(-2)/((g/(g/(g**(-4)*g)))/g))**(4/13) assuming g is positive. g**(24903/325) Simplify ((o**(-35)*o/o**(-1/55))/(((o*o*(o/o**(-17/4))/o*o)/o)/o*o**34))**(-10/7) assuming o is positive. o**(16111/154) Simplify ((m/m**(-6))/(m**(2/5)*m*m))**(-31)*m**(-6)*(m**(6/11)/m*m)/m*m**(-3/4)/m**(2/15) assuming m is positive. m**(-98959/660) Simplify (y**(-1/14)*y**(3/2)*((y**(1/8)/y)/y)/(y*y**(2/11)/y))/(y**(-2/23)*y*y**(-5/3))**(20/3) assuming y is positive. y**(560531/127512) Simplify (t**(-4)*(t*t**(-2))/t*t)**(-2)/((t*t**(-1/4))**(-4/21))**34 assuming t is positive. t**(104/7) Simplify ((a**(-4))**(5/13))**(4/21)*(a**(2/21)*a**(-4/3))**7 assuming a is positive. a**(-2446/273) Simplify (b**(2/7)*b**(-1/7))**34*(b**(-2/19)*b**8)**(5/12) assuming b is positive. b**(2167/266) Simplify (((r*r**(-2/43))/r**(-23))/(r/r**(5/11)*r/r**37))**(-2/39) assuming r is positive. r**(-56200/18447) Simplify (((k**7*k/k**(-5))/(((k**(-2)/k)/k*k)/k)**5)**(-4/9))**(-21) assuming k is positive. k**308 Simplify ((v/((v*v/(v/v**7*v))/v))/(v/(v*v**(-9)))*((v/(v/v**(-1/11)*v))/v)**43)**12 assuming v is positive. v**(-13716/11) Simplify ((y**(1/2)/(y*y*y*y/(y*y*y**(-1/4))*y))/(y**1)**(8/15))/((y/(y/(y*y/(y**2*y))))**(7/6))**(-12) assuming y is positive. y**(-1037/60) Simplify ((q/(q/(q**(1/5)/q))*q)/(q**(-5)/q))**(-2/7)/((q/(q**(1/5)*q))/(q**3/q)*(q**(-5)*q)/q**(4/5)) assuming q is positive. q**(183/35) Simplify ((((((a/(a/(a**(-14)/a)))/a)/a)/a)/(a*a*a*a*a**3))/((a*a*a**(-2/5))/((a**(-26)*a)/a)))**10 assuming a is positive. a**(-526) Simplify ((o*(o*o/(o*o*o**0*o))/o*o)**(-1/3)*(o**(-1)/o)**(-2/51))/((o/o**(-1))**(10/3))**(2/17) assuming o is positive. o**(-12/17) Simplify ((((p**(-2))**1)**(-28))**(-3/8))**16 assuming p is positive. p**(-336) Simplify ((d**(-4)*d**6)/(d**4*d**(-2/3)))/((d**(1/6))**(-2))**(-2/79) assuming d is positive. d**(-106/79) Simplify (s/(s*s**(-2)/s*s)*s)**(-1)*s**5/s**6*(s*s/s**8)/(s/((s**(3/4)*s)/s))*(s*(s/s**(-2/21))/s)/s*s*s/(s**(-6/11)*s) assuming s is positive. s**(-7955/924) Simplify (((m/m**(1/2))/(m/((m/(m**3*m)*m*m*m)/m)))/(((m/(m/m**(-1/5)))/m)/m**(-4/7)))**(4/9) assuming m is positive. m**(-122/315) Simplify ((j/(j*(j*(j*j**(4/7)*j)/j)/j*j*j))/j**(-35)*j**(-15)/j**(-19))**24 assuming j is positive. j**(5952/7) Simplify ((i**(-6/5)*i*i)/(i*i**(-11)/i*i))/(i/(i**(-13)*i)*i/(i*i**11)) assuming i is positive. i**(44/5) Simplify ((p/(p/(p*p**2)))/p**(-1/3))/(p**(-1/3))**(1/10)*(p**(-2/3))**16*(p**(-2/3))**(-7) assuming p is positive. p**(-79/30) Simplify (g**(-1))**(9/5)*(g*g**(-3/2)*g*g)/g**(-1)*g**1*g**1*g/(g**0*g)*g/(g*(g/(g*g**(2/27)*g))/g) assuming g is positive. g**(1289/270) Simplify ((z**40*z*z*z*z**(-19)*z*z)**44)**(-6/23) assuming z is positive. z**(-6864/23) Simplify (s/(s/(s**(-2/41)/s))*s**(-22/3)*s)/(s*s**(-1/4)*s*s)**14 assuming s is positive. s**(-11287/246) Simplify (m/m**(-6)*((m/(m**3*m*m))/m*m)/m*m*m)**(-1)/((m**(-2/5))**(31/5)/(m**0)**(-37)) assuming m is positive. m**(-38/25) Simplify (b**1*b**(-2))**(2/65)*(b*(b**(2/5)*b)/b*b)**(5/16)*(b/b**0)**(-2/47) assuming b is positive. b**(8269/12220) Simplify (((z**3)**(-3/19)/(z*z/z**(-1))**(1/3))**(-50))**(-28) assuming z is positive. z**(-39200/19) Simplify (((f*f/(f*f*f**(1/2)/f)*f*f)/f)**36*f*f/(f*f**(1/7))*f/f**18)**(-40) assuming f is positive. f**(-10600/7) Simplify m**6*m*m*(m**4/m)/m*(m*m*m**(2/15))/m**(-3)*m**2/(m*m/m**(-4))*((m*m**(-1/3)*m*m)/m)**(4/23) assuming m is positive. m**(3941/345) Simplify f**(4/3)*f**5*(f*f/(f**(-1/4)*f*f))/f**(-1)*(f/((f**(-1/2)/f)/f))**(3/5)/(f*f**(-4/3)*f**5) assuming f is positive. f**(301/60) Simplify ((b/(b/(b/(b**(-5)*b)*b)))/(b*b**(-19)*b*b)*(b*b/b**32)/(((b**6/b*b)/b)/b))**(2/7) assuming b is positive. b**(-24/7) Simplify (d*(d*d/d**(-1/2))/d*d*d*d**(-14)*(d*(d**(-1/23)*d)/d*d)**(-1/10))**(-2/45) assuming d is positive. d**(446/1035) Simplify ((q**(-26)*q*q*q/(((q/(q*q**(5/9)*q))/q)/q*q)*q)/(q**(18/7)*(q*q/q**28*q*q*q)/q))**22 assuming q is positive. q**(2750/63) Simplify ((n**14)**(-2/5)*n**32/(n**(-2/63)/n))**24 assuming n is positive. n**(69128/105) Simplify ((r/(r**(-2/3)*r*r))**17/(r**(-1)/(r/r**(-4))))/((r/(r**5/r))/(r/(r**(-5)*r)))**(-2/9) assuming r is positive. r**(-13/9) Simplify ((h/h**(-19))/(h/h**(2/3))*(h*h/(h/((h/(h*h**(-5)*h))/h*h)))**(1/15))**(4/17) assuming h is positive. h**(80/17) Simplify ((t*t**(2/9)*t**19)/((t*t**(14/3))/t*t*t/(t/((t**(4/3)/t)/t)*t)*t))**(-1/3) assuming t is positive. t**(-137/27) Simplify (o**(-1))**(-2/73)*(o**(1/2))**(-45)*(o/o**(2/3)*o)**(4/35)/(o**(2/15)/(o/o**(2/9))) assuming o is positive. o**(-996869/45990) Simplify ((c**(-2/11))**23*(c/c**(1/25))**21)**50 assuming c is positive. c**(8788/11) Simplify ((g*g*g/(g/g**24))/g*(g*g**8/g*g)/g)/((g*(g*g**2/g)/g)/(g/g**27*g)) assuming g is positive. g**6 Simplify (w**(-1/7)*w*w)/((w*(w**(-1/4)*w)/w)/w)*(w*w*(w/(w/w**(-5)))/w)/w*w*((w**(-3/2)/w*w)/w)/w*(w**(2/5)*(w**(-6/7)/w)/w)**19 assuming w is positive. w**(-7291/140) Simplify ((o/o**(-5))/o)/o**(5/3)*((o*o**(-1))/o)**(-27)*(o*o**(-1)*o)/(o**4*o)*(o*o**6/o)/o*o*o**(-5)*o*o assuming o is positive. o**(88/3) Simplify (g**(-2/5))**(4/5)/((g**(-2/17)/g)/(g/((g**(4/9)/g*g)/g)))*(g**(2/3)/g)**30*g**3/(g*g/(g/g**(-7))) assuming g is positive. g**(5176/3825) Simplify ((k*k**(2/3))**(-8/13))**(-22)*(k**(1/2)/k)**20*(k/(k*k/((k**
{ "pile_set_name": "DM Mathematics" }
t y(d) = 0 - 2*d**2 - 1 - 3 + 11*d + d**2. What is the tens digit of y(a)? 2 What is the units digit of 1 + -7 + 2687 + 11? 2 Let a(n) = -n**3 - 3*n**2 + 4*n - 4. Let q be a(-4). Let h be ((-12)/8)/(2/q). Suppose -5*c + h = u + 5, -u + 16 = -4*c. What is the units digit of u? 8 What is the tens digit of (-3334)/(-10) - (-7 + 444/60)? 3 Let n(j) = -j + 4. Let i be n(8). What is the units digit of 1/(i + (-149)/(-37))? 7 Let n(u) = u**3 + 4*u**2 - 2*u + 1. Let l be n(-6). Let b = l - -68. What is the units digit of b? 9 Let d = -6 + 9. Suppose 4*t - 3*p = 385, 5*t - p = p + 476. Suppose -4*s = -x + 22, 5*s + t = d*x - 0. What is the units digit of x? 8 Suppose -3*m - 308 = -b, 0 = -2*b - 5*m + 13 + 548. What is the units digit of b? 3 Let m be ((-6)/12)/(2/(-4)). Suppose -3*q - 17 = 2*w, -8 = 3*q + m. What is the units digit of (-2)/w + 175/14? 3 Suppose 2*l + 26*b - 22*b = 11608, 0 = 5*b - 15. What is the tens digit of l? 9 Let c(x) = x**3 - 17*x**2 + 17*x - 11. Let g be c(16). Suppose 5 = 2*j - 3*j + 2*w, g*j = -5*w + 35. What is the units digit of j? 3 Suppose -2*r = -5*r + 3*z + 438, 2*z = 6. Let o = -86 + r. What is the tens digit of o? 6 Let n be (-4)/(-16) + 43/4. Let z = 14 - n. Suppose 3*u - 87 = -z*o, 23 = 3*o - 2*o - 2*u. What is the units digit of o? 7 Let l be (-2)/7 - (-4)/14. Let x be 4/(-2)*(-40)/16. Suppose -4*a - a + x = l. What is the units digit of a? 1 Suppose -35*k = -2*k - 8679. What is the tens digit of k? 6 Let b(c) = c**2 - 9. Let j be b(7). Suppose -j = 5*k - 10. Let a = k + 24. What is the units digit of a? 8 Suppose 0 = -4*y - 3*k + 165, -y - k + 46 = -5*k. Let b be (-4)/14 - 1248/y. Let c = -4 - b. What is the tens digit of c? 2 Let n(b) = b**2 + 5*b - 6. Let q be n(-6). Suppose -8*a - 3*a + 506 = q. What is the tens digit of a? 4 Let q = -14 - -19. Let x(n) = -n**3 + 4*n**2 + 4*n + 5. Let f be x(q). What is the units digit of (-11 - f)/(3/(-9))? 3 Let u = 28 - 42. Let r be (-7)/(u/16) + 1. What is the units digit of 602/21 + 12/r? 0 Suppose -7*d + 0*d + 175 = 0. Let j(a) = -a - 2. Let k be j(-4). Suppose d = -k*x + 131. What is the tens digit of x? 5 Let o(f) be the first derivative of 10 + 2/3*f**3 + 4*f**2 + 14*f. What is the tens digit of o(-6)? 3 Let z(q) = -695*q + 283. What is the units digit of z(-3)? 8 Let l(n) = -n**3 + n**2 - 9. Let f be l(5). Let x = -32 - f. What is the tens digit of x? 7 Let r be (-16)/(-80) + 818/10. Let b = r - -91. What is the units digit of b? 3 Let j = 38 + -20. Let z = -12 + j. Suppose 7*p - 43 = z*p. What is the tens digit of p? 4 Suppose -4*i - 16 = 16. Let v(h) = h + 5. Let u be v(i). What is the tens digit of (-28)/u*(-36)/(-24)? 1 Suppose 1842 = w - k, 4*w - 2*k - 5124 = 2240. What is the hundreds digit of w? 8 Let d(s) = 7*s**2 - 4*s + 7. Let g be d(2). Let b = 11 + -34. Let x = b + g. What is the units digit of x? 4 Let w be (8 + -4)/((-4)/10). What is the tens digit of (-4)/w + 632/20? 3 Let l(n) = -n**2 - 5*n + 2. Let w be l(-6). Let s = -2 - w. Suppose 0*k + s*k - 36 = 0. What is the units digit of k? 8 Let d = 47 - 27. Let x = 4 - d. Let b = 32 + x. What is the tens digit of b? 1 Let n(y) = -5*y**2 + 4*y - 4. Let g be n(-4). Let q be ((-6)/(-15))/(4/g). Let u(f) = -3*f + 12. What is the units digit of u(q)? 2 Let d(w) = w**3 + w**2 - 3*w + 2. Let c be d(2). Suppose -5*l = -2*u - c, 4*u = l + 2*l - 16. What is the units digit of 10/u*(-4)/10? 1 Let z = 12 + 42. Suppose z = 3*h + 177. Let f = 58 + h. What is the tens digit of f? 1 Let m(f) = 2*f**2. Let x be m(1). Let i = 7 - x. Suppose 0 = 5*u + o - 210, 3*u + i*o + 27 - 131 = 0. What is the units digit of u? 3 Let t = -4663 - -1552. Let q be t/(-45) + 2/(-15). Suppose -5*n + 181 + q = 0. What is the units digit of n? 0 What is the hundreds digit of ((-3272)/(-6))/(2/6)? 6 Let p(z) = z**3 - 24*z**2 + 6*z - 55. Let n be p(24). Let y = n + 10. What is the units digit of y? 9 Let q(s) = -s**3 + 5*s**2 - 5*s + 2. Let g be q(4). Let v be 1/((-26)/14 - g). What is the units digit of v/(7/2) - -1? 3 What is the hundreds digit of (-7 + 0)/((-3)/219)? 5 Let b be (100/(-35))/(1/(-7)). Suppose 80 = 4*u + b. What is the units digit of u? 5 Let s = 76 + 440. What is the units digit of s? 6 Let u = 482 - -1014. What is the hundreds digit of u? 4 Let h(c) = c**2 + c + 37. Let p(y) = -y - 1. Let n(r) = h(r) + 4*p(r). Suppose -2*v = -5*v. What is the units digit of n(v)? 3 Suppose -8 = 4*n, 8*s + 54 = 4*s + 5*n. What is the units digit of 1114/8 + (-28)/s + -2? 9 Let d = 597 - 29. What is the units digit of d? 8 Let m be 2*15*3/18. Suppose q + 280 = m*q. What is the tens digit of q? 7 Let a be ((-1)/4)/(6/(-72)). Suppose 4*n + 0*w + w = 334, -a*n + 244 = 4*w. Let d = n + -58. What is the tens digit of d? 2 Let h be 264/(-9)*(-21)/(-14). What is the tens digit of 2/11 + (-1928)/h? 4 Suppose -3*t = -8*t + 2260. What is the units digit of t? 2 Let d(u) = -14*u**2 - u + 1362. What is the units digit of d(0)? 2 Let k = 996 - 580. Suppose 3*w + k = 7*w. What is the units digit of w? 4 What is the units digit of ((-12)/(-36))/((-1)/(-1845))? 5 Let m(n) = -70*n + 66. What is the units digit of m(-10)? 6 Let y = -432 + 928. What is the hundreds digit of y? 4 What is the thousands digit of 9/(-12) - (-968)/64*94? 1 Let p(d) = 3*d - 1. Let s be p(2). Suppose 0 = c - s - 10. What is the units digit of c? 5 Suppose 4*d + 4*c - 360 = 0, -177 = -2*d + 2*c - c. Suppose -6*p + 223 + d = 0. What is the tens digit of p? 5 Let x be -2*(-1)/4*10. Let t(y) = y. Let i(z) = 3*z - 11. Let w(u) = x*t(u) - i(u). What is the units digit of w(8)? 7 Let t(x) = x**3 - 3*x + 20. Let f be (-2)/5 - (-5)/((-75)/(-6)). What is the tens digit of t(f)? 2 Suppose -v + 3*z + z + 30 = 0, -2*v = -z - 67. Suppose 0 = -v*a + 39*a - 480. What is the units digit of a? 6 Let q = -27 + 29. Suppose 4*c = 8*c - 432. Suppose q*z = 4*z - c. What is the units digit of z? 4 Let p = 78 + -47. Suppose 0 = -w + 56 + p. Suppose 5*r - w = 193. What is the units digit of r? 6 What is the units digit of -402*(-6)/39 + (-10)/(-65)? 2 Suppose 3*x - 3*b = 21, 3*x + b = 5*x - 15. Let g(j) = j**3 - 7*j**2 + 12*j - 13. What is the hundreds digit of g(x)? 1 Suppose -5*d + 56 = -3*f - d, -5*d = -4*f - 76. Let p = f - -116. What is the units digit of p? 2 Let s = 4091 + 156. What is the tens digit of s? 4 Let k be (-4)/(-4 + 0) - 1. Suppose 0*a - 4*a - 16 = k. What is the tens digit of (a - -3)*(-1 - 36)? 3 Let r(j) = 8*j - 36. Let z be r(5). What is the units digit of 9*(12/z + 68/12)? 8 What is the tens digit of 599/2*(-6 - -8)? 9 Suppose 2256 = 7*u + 41*u. What is the units digit of u? 7 Suppose 0*r - 5*u - 23 = -3*r, -r - 2*u = -15. What is the units digit of r? 1 Suppose -4*n = 4*v - 1745 - 1187, -3*n + 3669 = 5*v. What is the units digit of v? 5 Suppose -3*t - 125 = 28. Let y = 15 - t. What is the tens digit of y? 6 Suppose -5*w + 22 = 2*x - 4*x, 0 = w + 3*x - 1. Suppose -4*u - 4*i = -4, w*i = -3*u - 2*u + 9. Suppose 53 = u*v - 7. What is the tens digit of v? 1 Let f = 18 - 19. Let d(b) = b**3 + 6*b**2 + 4*b - 3. Let a(c) = -c**2 + c - 1. Let x(h) = f*d(h) + 3*a(h). What is the units digit of x(-9)? 9 Suppose -l + 4*f + 10 = 0, -4*f - 2 = 2*l + 2. Suppose 2*o + 314 = d + 3*d, -4*d + 310 = l*o. What is the units digit of d? 8 Let y(o) = 19*o**2 + 11*o + 16. Let s be y(-6). Suppose -4*b - 3*n + 867 = 0, -b + s = 2*b - n. What is the units digit of b? 3 Let w be 0*1/((-6)/(-2)). Suppose w = -2*g + 5*g - 63. Let l = g - 19. What is the units digit of l? 2 Suppose 28*c - 7048 = 12580. What is the hundreds digit of c? 7 Let l(b) = -3*b - 2*b + b - 1. Suppose 0 = -4*v + 4, -d - 3*v = -2*d - 5. What is the units digit of l(d)? 7 Let v(f) = -f + 2. Let g be v(-1). Suppose 71 + 217 = g*u. What is the units digit of u? 6 Suppose -i - 6 = -0. Let m(s) = 13*s**2 + s**3 - 2 + 0*s - 6*s**2 + 2*s. What is the tens digit of m(i)? 2 Let g(q) = 2*q**2 + q + 1. Let l(b) = -b**2. Let x(c) = 2*g(c) + 3*l(c). What is the units digit of x(11)? 5 Suppose 0 = -k + 5*b - 17, 0 = -3*b + 4 + 8. Let y be (-6)/(-2) + ((-3)/(-3) - 24). Let h = k - y. What is the tens digit of h? 2 Let q(z) = -z + 20. Let n be -12*(0 - (-3 + 4)). Let v be q(n). Suppose 0 = v*i - 11*i + 57. What is the tens digit of i? 1 Suppose -3*l + 2*y + 8
{ "pile_set_name": "DM Mathematics" }
p(b) = b**2 - 2*b - 1. Give p(k). 14 Let h be 1/(-2) - (-2 + 19/(-2)). Let t(u) = 11*u - 12*u**2 - 1 + 6*u**2 - h*u. Let x be (2/(-4))/((-1)/2). Give t(x). -7 Let z(u) = -2*u**2 - 3*u - 5. Let t(o) = o**2 + o + 1. Let i(x) = 3*t(x) + z(x). Suppose 3*k - 14 + 38 = -5*l, 0 = k - 5*l - 12. Calculate i(k). 7 Let x(s) = -s**2 - 1 - 3*s + 0*s + 7*s. Suppose -3*c + 56 = 47. Suppose -c*w = -5*j + 3, -3*w = -4*j - 8*w + 32. What is x(j)? 2 Let c(n) = -15 - n + 4*n**2 - 3*n**2 + 15. What is c(5)? 20 Let s(i) = i**3 + 2*i**2 + 2*i. Suppose -49*m + 53*m = 12. Suppose -4 = -a + m*a. Calculate s(a). -4 Let f = -39 - -32. Let s(k) be the second derivative of k**4/12 + 3*k**3/2 + 5*k**2 + 4*k. What is s(f)? -4 Let r(d) be the third derivative of 0 + 0*d**3 + 0*d + d**2 + 1/24*d**4. Let n(i) = -29*i**2 - 288*i + 16. Let z be n(-10). Calculate r(z). -4 Let n(d) be the third derivative of -d**5/60 - d**4/3 + 3*d**3/2 - 300*d**2 - d. What is n(-7)? 16 Let g(f) = -2*f**3 + 0 + 2 + 2*f**2 - 2*f - 1. Let c be -7*2/(-56)*4. Give g(c). -1 Let z(a) = 5*a. Let f(s) be the second derivative of s**3 - 2*s. Let g = -4 + 10. Let l(c) = g*f(c) - 7*z(c). Give l(-1). -1 Let o(s) = -711 + 1435 + 0*s - 724 - s. What is o(-4)? 4 Let y(v) be the second derivative of 4*v**3/3 + v**2/2 + 3*v. Suppose -2*p + 3 = p. Suppose -4*g + 5*g + p = 0. What is y(g)? -7 Let k(t) = 2*t**3 + t**2 + t + 2. Let y(l) = 5*l**3 - 6*l**2 + 11*l. Let z(w) = 2*k(w) - y(w). Give z(7). -10 Let s(r) = 3*r + 51*r**2 + 45*r**2 + 49*r**2 - 10 - 11*r - 144*r**2. Give s(10). 10 Let a(m) = -m**3 + 9*m**2 - 9*m + 12. Let t = 48 - 40. Calculate a(t). 4 Suppose -5*h + 0*b + 79 = -4*b, 5*h - 5*b - 75 = 0. Let n = h - 24. Let c(a) = -a**2 - 6*a - 7. Give c(n). -2 Let x(v) = -v**2 + 36*v - 285. Let f be x(24). Let c(i) = i**3 - 4*i**2 + i - 1. Give c(f). -7 Let f(t) = -t**3 + 11*t**2 + 5. Suppose -53 = -8*g + 35. What is f(g)? 5 Let x(p) = 7 - 2 + 6*p**2 + p**3 - 7*p - 7. Let z be x(-7). Let v(j) = j**2 - j - 1. Calculate v(z). 5 Let c(o) = 5*o**2 + 17 + 2*o + 2*o**3 + 2*o + o**3. Let g(r) = -2*r**3 - 2*r**2 - 2*r - 9. Suppose -4 = 9*f - 31. Let d(j) = f*c(j) + 5*g(j). Calculate d(5). 16 Let c(m) = -2*m**2 - m - 2. Suppose -22*l = -15 + 59. Calculate c(l). -8 Let a = -24 + 29. Let i(q) = 10*q + 6 - a*q + 3*q + q**2. Give i(-6). -6 Suppose 7*x - 4*x = 15. Suppose w + 3*r + r = 22, 0 = w + 3*r - 17. Let t(p) = -p**3 + x + 9*p**w - 11 + 8*p - 4*p**2. Calculate t(6). 6 Suppose 8 = i + 3*i. Let l(h) = 6 - 8 + h**3 + 8*h - 7*h**i - 3. What is l(6)? 7 Suppose 44 = -10*v + 4. Let l(i) = -16*i**2 - 31*i + 36. Let g(x) = 3*x**2 + 6*x - 7. Let u(y) = 11*g(y) + 2*l(y). Determine u(v). -5 Let o(p) = p**2 - 8*p + 8. Let n be o(6). Let x(q) be the second derivative of -1/20*q**5 + 1/3*q**3 + 0 + 3*q - 1/3*q**4 + 5/2*q**2. What is x(n)? -3 Let y(x) be the third derivative of -x**6/240 - 3*x**4/8 - 43*x**2. Let j(u) be the second derivative of y(u). Calculate j(-4). 12 Let u(n) = -n**3 + 7*n**2 + 6*n - 8. Let j be u(6). Let f be (2 - j/20)*5. Let t = 10 + f. Let i(p) = p**3 - 4*p**2 + p - 2. Calculate i(t). 2 Let o(l) = 3*l - 3. Let u = -206 + 202. Calculate o(u). -15 Suppose 35*i - 33*i = 4. Let v(t) = -2 - t**3 - 3*t**2 + 0 - t + 3*t**i. Calculate v(-2). 8 Let k(h) = 18*h**3 + 10*h**2 + 46*h + 17. Let i(j) = 11*j**3 + 5*j**2 + 23*j + 9. Let a(c) = 5*i(c) - 3*k(c). Give a(8). 2 Let z(k) = -5*k**2 - 3*k - 2. Let r = -11 - -13. Let f(y) = -y**r - 8 - 5*y + 4*y + 7 + 0. Let g(b) = 4*f(b) - z(b). What is g(2)? 0 Let o(v) = 0*v + 8*v**2 - 2*v + 591*v**3 - 12 - 590*v**3. Give o(-8). 4 Let c(v) be the third derivative of -v**6/120 - v**5/10 + v**3/6 + 2*v**2 - 58. Calculate c(-5). -24 Suppose -19 = 11*v + 36. Let t(w) = -5 + 17*w + 15*w - w**2 - 37*w. Give t(v). -5 Suppose 0 = -3*v + 2 + 7. Let r(i) = 3*i**v + 8 + 110*i**2 + 5*i - 2*i**3 - 104*i**2 - 2. Determine r(-5). 6 Let u(x) = x**2 + x - 4. Let m be u(3). Let c(j) = 16*j. Let s(y) = -65*y + 4. Let q(i) = 4*c(i) + s(i). Calculate q(m). -4 Let l(h) = -2*h**3 + 9*h**2 + 3*h - 1. Let w(v) = 5*v**3 - 20*v**2 - 7*v + 1. Let m(o) = -7*l(o) - 3*w(o). Calculate m(-4). 20 Let u be (-2)/4 - (-2)/4. Suppose -2*j + 5*r - 13 = u, 3*r = j + 8 - 0. Let y(o) = o - 64. Let g(x) = -2*x + 80. Let t(w) = -4*g(w) - 5*y(w). Determine t(j). 3 Suppose 17 = 3*g + 4*x, -5*g + 2*x + x = 20. Let a(v) be the first derivative of -11 + 2/3*v**3 + 1/2*v**2 + 0*v + v**4. Calculate a(g). -3 Let j be 87/27 - 22/99. Let b(w) be the first derivative of w**2 + w - 1. Give b(j). 7 Let c(q) = q**3 + 3*q**2 - 4*q + 5. Let z(g) = 7*g + 199. Let s be z(-29). Determine c(s). 5 Suppose -5*t = 0, -3*q + 20 = -5*q - t. Let p(m) = -m - 7. Determine p(q). 3 Let z(k) = k. Suppose 5*m - 25 = -2*d - 3*d, -25 = -m - 5*d. Let c = 3 - m. Give z(c). 3 Let w = -113 - -105. Let d(f) = f - 1. Give d(w). -9 Let f(w) = -w**2 + 6*w + 3. Let o be f(5). Let q be (o + -6)*1/2. Let r(d) = -d**2 - d. Let s(l) = 6*l**2 + 5*l. Let k(z) = 5*r(z) + s(z). Determine k(q). 1 Let j(q) be the third derivative of -1/3*q**3 + 0 + 0*q - 13*q**2 + 1/12*q**4. Determine j(-4). -10 Let c(x) be the first derivative of -x**2/2 - 6*x - 247. What is c(-8)? 2 Let l(b) = -10*b**3 + 24*b**2 + 18*b + 10. Let o(q) = -7*q**3 + 16*q**2 + 13*q + 7. Let u(r) = 5*l(r) - 7*o(r). Give u(6). 67 Let x(o) = -7*o - 5. Let l(r) = -5*r - 6. Let w(k) = -4*l(k) + 3*x(k). Give w(13). -4 Let j(p) be the second derivative of p**5/20 - p**4/2 + 2*p**3/3 - 7*p**2/2 + 100*p. What is j(5)? -12 Let p = 14 - 10. Suppose a = 4*h - 0*a + 32, 3*h + 24 = -p*a. Let g = 9 + h. Let v(x) = x**3 + x**2 + x - 1. What is v(g)? 2 Let a(k) = -k**2 + 6*k + 5. Suppose 0 = j - 0*j + 33. Let o = 56 + j. Suppose 2 + o = 5*w. Calculate a(w). 10 Let t(l) be the third derivative of -5*l**2 + 1/2*l**3 + 0 + 1/120*l**6 + 1/12*l**5 + 0*l + 1/6*l**4. Give t(-4). 3 Let b(u) = -u**3 - 5*u**2 + 8*u + 8. Let h = -43 - -47. Suppose 2*w + 0 - 8 = 0. Let p be ((-6)/(h/w))/1. What is b(p)? -4 Let l(v) = -v**3 + 2*v**3 - 1 + 10*v**2 - 2. Let t = 670 - 664. Let m(r) = -2*r**3 - 19*r**2 + 6. Let u(g) = t*m(g) + 11*l(g). What is u(-4)? 3 Let r(m) be the first derivative of m**4/4 + 2*m**3/3 + m**2 - 2*m + 536. Let z = 2 + -4. Calculate r(z). -6 Let p be (-10)/(-3)*(-12)/(-2). Let q(o) = -o + 25. Determine q(p). 5 Let x be 1 - 1 - (-10 + 8). Let k(s) = -s**2 - 7*s - 4. Let u be k(-6). Let m(j) = -3 - u*j**3 + 8*j**2 + 2*j - 6*j**2 - j**2 + 2. Determine m(x). -9 Let l(n) = -n + 4. Suppose 2*c - 106 = -5*b, -2*c - 2*c + 196 = 2*b. Let j be c/(-2)*2/(-3). Suppose 5*i + p = -p + 26, j = i + 4*p. Calculate l(i). 0 Suppose -3*p + 5*s + 10 = 0, 2*p + 0*s = 2*s. Let a(j) be the first derivative of j**4/4 + 5*j**3/3 - 3*j**2/2 - 3*j + 21. Give a(p). 12 Suppose -1 = k + 5. Let z(a) = a**3 + 4*a**2 + 2*a + 2. Let j be z(-3). Let f(t) = 3*t**2 + 6 - 2*t**2 - j*t**2 - 5*t + 3*t**2. Give f(k). 0 Suppose 0 = 4*o, 4*o = -2*i - i - 15. Let h(q) = -4*q**3 + q**2 + q + 1. Let y(l) = 23*l**3 - 11*l**2 - 9*l - 12. Let v(m) = 6*h(m) + y(m). Determine v(i). 9 Let b(v) be the third derivative of -v**8/6720 + v**7/420 - v**6/720 + v**5/20 - 7*v**4/24 - 13*v**2. Let p(n) be the second derivative of b(n). Determine p(6). 0 Let n(s) = s**2 + 5*s + 5. Let f be (-24)/(((-2)/8)/((-2)/8)). Let q = f + 20. Calculate n(q). 1 Let m(z) = z**3 + 33*z + z**2 - 17*z - 18*z. Suppose -v = -3*v + 4. Give m(v). 8 Let x(s) = s**2 - 16*s**2 + 0*s + 3*s - 9*s**2 + 23*s**2 - 2. Suppose 3*o + 0*o - 9 = 0. What is x(o)? -2 Let g(d) be the first derivative of -d**5/120 + d**4/8 + 23*d**3/3 + 18. Let n(t) be the third derivative of g(t). Calculate n(-7). 10 Let d(m) = -5*m**3 + 7*m**2 - 5*m - 4. Let k(q) = 6*q**3 - 7*q**2 + 4*q + 4. Let r(a) = -7*d(a) - 6*k(a). Calculate r(-8). -20 Let t(h) be the third derivative of h**3/6 + 3*h**2. Suppose 0 = 2*c + 24 - 6. Let v(i) = -3*i. Let g(l) = c*t(l) + v(l). What is g(-6)? 9 Let t(u) be the third derivative of u**5/60 - u**4/8 + u**3/2 + 23*u**2 + 1. Determine t(4). 7 Suppose 0 = 4*i - 6 + 2. Let s(l) = 2*l**3 - 2*l**2 + 3*l - 2. What is s(i)? 1 Let u(i) be the second derivative of i**3/6 - 4*i**2 + 22*i. Let b(y) = 9*y**2 + y. Let k be b(1). Let x be u(k). Let m(f) = -f**2 + 3*f - 3. Calculate m(x). -1 Let t(z) = 1. Let x(y) = -7*y - 2.
{ "pile_set_name": "DM Mathematics" }
- 8 = 0 for a. -4 Solve -4*i = 3*m + 26, 4*m + 6*i = 11*i + 17 for m. -2 Solve 0 = -2*m - 627*z + 625*z + 4, 3*z = -6 for m. 4 Solve -5*u - 8 = -3*f + 1, 6 = -u + 2*f for u. 0 Solve -4*d - 15 = -2*w - 5, -5*w - 4*d + 11 = 0 for w. 3 Solve -3*k + 7*k - 7 = -x, 0 = 4*x + 2*k - 14 for x. 3 Solve 0 = -2*o - 4*w - 12, o = -4*o + 5*w - 15 for o. -4 Solve 31 = -4*t + 5*c, 7*t - 2*t + 14 = -2*c for t. -4 Solve 3*t + 22 = 2*o, 10 = -4*o + 2*o - 5*t for o. 5 Solve 6*d = -f + 3*d + 3, -13 = f - 5*d for f. -3 Solve -14*z + 9*z + d + 20 = 0, -2*z + 16 = -2*d for z. 3 Solve 0 = 2*y - 4*c - 16, 4*y + 5*c - 80 = -113 for y. -2 Solve 2*v - 2*y - 22 + 12 = 0, 20 = 5*v - 4*y for v. 0 Solve 1 = -j + 3*p - 6, 2*p = 2*j + 10 for j. -4 Solve -7 = 3*c - b + 6, 0 = 5*c + 5*b + 55 for c. -6 Solve 0 = -4*o - 2*g - 2, -g = g + 10 for o. 2 Solve -2*g + 0*g = 0, g - 15 = -3*t for t. 5 Solve 2*l + 16 = 2*k, 3*k = -4*l + 3*l + 8 for k. 4 Solve 0 = -4*b - 4*h, -6 + 0 = 2*h for b. 3 Solve 2*f = 14*z - 13*z, 2*f = -4*z for f. 0 Solve 5*w - 19 = -3*s, -4*s - 4*w + 1 = -11 for s. -2 Solve -4*f = -3*f - 5*j - 20, -f = 5*j + 20 for f. 0 Solve x = 3*m - 11, x + 2*m - 14 = 3*x for x. -5 Solve 5*n - 323 = -2*c - 324, -3*c - 4*n - 5 = 0 for c. -3 Solve -p + 6 = 2*d, 2*d - 6*p = -p - 18 for d. 1 Solve 9*h = 7*h, n = 5*h - 5 for n. -5 Solve -t - h - 4 = -3*t, 4*h = 5*t - 7 for t. 3 Solve -51*s + 3*c - 12 = -50*s, 5*s + 4*c = -3 for s. -3 Solve 2*j - 6 = 0, -5*d - 2 - 8 = 5*j for d. -5 Solve k - 22 = -5*t, -5*k - 5 = -3*t + 25 for k. -3 Solve 0 = -5*f - 2*z + 21, -3*z + 18 - 14 = 2*f for f. 5 Solve -12 = 4*p + t, -2*p - 5*t + 36 = -6*p for p. -4 Solve -10 = 4*u - 2*i, u + 4*i + 7 = 6*i for u. -1 Solve 6 = -5*u + 3*n - 11, 17 = -3*u - 5*n for u. -4 Solve 14 = -2*w - 5*p, 4*w - p = -2*p - 10 for w. -2 Solve m + 3 = 0, 13 = -0*o + 2*o - 3*m for o. 2 Solve 3*f - 5*x - 35 = 0, 4 - 27 = -3*f + 2*x for f. 5 Solve 0 = -4*d - 3*p + 27, 7*d + 4*p = 12*d + 5 for d. 3 Solve 2*k + k + 8 = -2*x, -4*x - 12 = 5*k for x. 2 Solve -p - 91 + 81 = 5*x, -5*p = -2*x + 23 for p. -5 Solve -23 = -2*x - 5*m, 0 = -2*x + x + m + 1 for x. 4 Solve 0 = -4*r + 14*y - 15*y + 7, 0 = -5*r + 3*y - 4 for r. 1 Solve 3*v = 2*s - 12, 2*s - 10 = 2*v - 0*s for v. -2 Solve -1 = 5*d - r - 2*r, 4*r - 7 = d for d. 1 Solve -5*m - 2*l + 7*l + 25 = 0, -25 = 3*m + 5*l for m. 0 Solve -y = 2*o - 0*o + 8, -5*y = -2*o + 16 for y. -4 Solve 0 = 4*d - 2 - 6, -5*d + 16 = -2*h for h. -3 Solve h - 2*t - 9 = 0, -h + 4*t = 2*h - 21 for h. 3 Solve 19*u - 5*j = 20*u + 2, -5*j = 5 for u. 3 Solve -6 = 16*p - 15*p + 3*f, -5*p + 5*f = -30 for p. 3 Solve 2*b = 6*b + 5*n - 27, 5*b + 2*n = 21 for b. 3 Solve -n - 5 = 0, -4*f + 35 = -9*f - 5*n for f. -2 Solve -11 = 3*m + 5*s, m - 8*s + 11*s + 5 = 0 for m. -2 Solve -17 = -4*r - 0*w - w, -3*r + w = -11 for r. 4 Solve i - 6 = -2*x, 0 = -3*i + x - 2*x - 7 for i. -4 Solve 6 = -2*h + y, 7 = -h + 4*y - 3 for h. -2 Solve -f = c - 6, f - c - 16 = -4*c for f. 1 Solve 4*y + a + 5 = -7, 3*y + 32 = 5*a for y. -4 Solve -p + 3*l - 4 = 0, 4*p - p + l - 8 = 0 for p. 2 Solve 48*s = 51*s - 2*o - 1, -3*s = -3*o + 3 for s. 3 Solve 2*q = 3*k - 8, -7 = -4*k + q + 2 for k. 2 Solve 2*v - 1 = 2*a + 1, 4*v + 3*a - 11 = 0 for v. 2 Solve -g + 1 - 21 = 5*p, -4*p + 5*g - 16 = 0 for p. -4 Solve 75*c - 80*c + 12 = -p, 2*p = 4*c - 6 for c. 3 Solve -3*z + 14*s + 17 = 9*s, 2*z - 18 = 5*s for z. -1 Solve -a = -4*a - 5*t - 7, 0 = 2*t - 2 for a. -4 Solve z = 4*r + 4*z - 14, -6 = -r - 2*z for r. 2 Solve -5*z + 6 = -14, -z = 2*r - 8 for r. 2 Solve 17 = 3*h + 8, -4*u = -h + 15 for u. -3 Solve 3*d - 2*n = -2 + 7, -n + 14 = 4*d for d. 3 Solve 0 = 4*q - d + 7, 44*d - 42*d = 5*q + 11 for q. -1 Solve 3*g + 12 = 5*h, -h + 12 = -22*g + 19*g for g. -4 Solve 2*r = 5*v - 1, r = 6*v + v + 4 for v. -1 Solve b + 4 = 2*o - 4*o, 0 = 3*b + 6 for o. -1 Solve 2*q = 5*g + 9 + 7, -3*g = -2*q + 8 for q. -2 Solve 3*i + 28 = 4*k, -123*k + 122*k - 3*i - 8 = 0 for k. 4 Solve 26*x = -c + 28*x + 4, -c = 2*x - 4 for c. 4 Solve 6*a + 23 = 3*b + 10*a, -a = -b - 4 for b. 1 Solve 4*x + 2*a + 10 = 0, -11 = -0*x + 5*x + 3*a for x. -4 Solve -24 = -5*j - 4*i + 3*i, -4*i + 11 = 3*j for j. 5 Solve 189*d - 192*d + 3 = z, 0 = 4*d + 3*z + 6 for d. 3 Solve 0*n + 2*n + 4*z - 16 = 0, -3*n = 5*z - 21 for n. 2 Solve -2*c = 4*o + 18, 0*c = -4*o + 2*c - 22 for o. -5 Solve 3*i = -5*w - 0*w - 15, 4*i - 3*w + 20 = 0 for i. -5 Solve 5 = -u - 2*u + 2*o, -3*u - 4*o - 17 = 0 for u. -3 Solve 2*s + 4 = 0, 0 = x - 4*s - 10 for x. 2 Solve -2*g - 3*m - 11 + 34 = 0, -4*g - 5*m + 41 = 0 for g. 4 Solve 3*g - 2*c - 3*c = -20, 2*c = 3*g + 17 for g. -5 Solve 30 = -2*f - 4*o, -2*f - o = 16 - 1 for f. -5 Solve -4*y + h = -3*h - 20, 2*y + h = 4 for y. 3 Solve -4*l + 4*s = 1 - 21, -4 = -2*l - 4*s for l. 4 Solve 3*o = -4*x - 29, 3*x + 30*o - 32*o = -9 for x. -5 Solve -5*q - 20 = -4*v, -20 = 2*v + 5*q - 0*q for v. 0 Solve -s - 1 = -2*i - 2*i, 2*i = 3*s + 3 for i. 0 Solve -d = f - 2, 2*d - f - 2*f = 14 for d. 4 Solve -35 = 4*w - 47, 3*g + 3*w = 24 for g. 5 Solve -3*q = 5*w + 8 + 3, 2*w - q + 11 = 0 for w. -4 Solve 21*o + 5*q + 21 = 18*o, 0 = -o + 3*q + 7 for o. -2 Solve m = -4*t + 3*t + 6, -3*m = t - 16 for t. 1 Solve -20 = 5*m, 2*d - 9*m + 10*m = -8 for d. -2 Solve 3*o + 11 = 5*t - 6*t, -o - 5*t - 27 = 0 for o. -2 Solve -4 = -5*t - 4*i, 5*t - 5 = 10*t - 5*i for t. 0 Solve -d + a + 1 = 0, -13*a + 7 = 3*d - 14*a for d. 3 Solve -c = -3*z + 5, -2*z + 8*c - 10 = 10*c for z. 0 Solve -5*l = 2*i, -3*l + i - 3*i + 4 = 0 for l. -2 Solve -d + 5 = z - 2*z, -d + 20 = -4*z for z. -5 Solve 3*n + r + 12 = 0, 2*n - r = 4*n + 7 for n. -5 Solve a = 4*n - 7 - 7, 5*n + 3*a = 26 for n. 4 Solve 16*v - 18*v + 14 = 2*i, 4*v - 7 = 3*i for i. 3 Solve -3*k - 6 = -3*x, 5*x + 4*k - 11 - 17 = 0 for x. 4 Solve 5*r = 5*x + 5, 2*x - 4*x + 4 = -5*r for x. -3 Solve 0 = -2*v - 2*v + 4*p - 32, -v + 12 = 3*p for v. -3 Solve 2*x + 22 = 28, 1 = -4*f - x for f. -1 Solve 4*s - 5*o = -3, 5*s = -20*o + 25*o for s. 3 Solve 0*r + 2*r + 5*b = -17, 0 = 2*r - 3*b - 7 for r. -1 Solve -2 = -a + 2*u - 3, 0 = 5*u + 5 for a. -3 Solve 0 = -5*n + 5*h + 45, 0 = 2*n - n + h + 1 for n. 4 Solve 3*m - 12 = 5*t, -m = -2*t + 3*m - 2 for t. -3 Solve 0 = -6*y + y - l + 4, 4*l + 6 = 2*y for y. 1 Solve -2*w = -2*r - 4, -5*r = -2*w + 8 - 10 for r. 2 Solve 5 = 3*m - n + 1, -2*m = -2*n - 8 for m. 0 Solve -2*u + 5 - 1 = -3*h, 5*h + 3*u = 25 for h. 2 Solve 5*r - 20 = -560*h + 559*h, -3*r - 3*h + 24 = 0 for r. 3 Solve -62*f = -59*f, -5*f = 2*a + 8 - 2 for a. -3 Solve 2*o - 18 = 3*c - 28, 16 = 4*c for o. 1 Solve -2*z + 4*y - 24 = 0, -3*z + 4*z = -2*y + 4 for z. -4 Solve 0*b = 5*f - 2*b + 5, -4*f = 3*b - 19 for f. 1 Solve n = 2*o + 2*o + 21, 0 = 4*o + 4*n - 4 for o. -4 Solve -o - 3*o - 2*u = 0, 0 = 4*o - 5*u for o. 0 Solve 0 = -2*p - 2*i - 2, 8*p + i = 6*p - 5 for p. -4 Solve 5 = -5*t + h + 4*h, 0 = 2*t + 4*h + 14 for t. -3 Solve 0 = 3*v + v - 4*f - 16, 3*f = -3*v - 6 for v. 1 Solve 2*l - 3*t - 2 = 0, -58*l + 61*l = 3*t for l. -2 Solve 0 = -2*y - 3*k - 3, 3*y + 25 = -5*k + 20 for y. 0 Solve 13*j = 17*j + 2*n - 12, 28 = 4*j - 2*n for j. 5 Solve 27 = 4*f - 3*v, -4*f + 109*v = 111*v - 2 for f. 3 Solve 3*s = a - 16 + 2, 2*a = -s for a. 2 Solve -a - s = 2*a - 6, -a + 6 = -s for a. 3 Solve 10 = 2*u, 2*o - u = -12 + 3 for o. -2 Solve 3*x - 2*m = -5, -3*x + 5*m = 2*m + 3 for x. -3 Solve 19 = -5*q - 4*s, -6*q = -9*q + 3*s - 6 for q. -3 Solve 0 = -a + 5*v + 24, -53*a + 57*a = -4*v for a. 4 Solve 2*n - 4*j = -8, -8 = -3*n + 2*j - 6*j for n. 0 Solve -2*g - h + 1 = 8, -2*g + 8 = -4*h for g. -2 Solve y - 327*w = -325*w - 4, 5*w - 16 = 4*y for y. -4 Solve -3*a + 12 = -3*c, -5*c - 9 = 2*a - 10 for c. -1 Solve 7*l = 2*z + 3*l + 14, 0 = -4*z - l - 10 for z. -3 Solve -s + 6 = 2*a - a, -2*s + 11 = a for a. 1 Solve 4*p + 3*z - 6 = 0, 6*p = 4*p - z + 4 for p. 3 Solve 5*q - c = 11, 4*q - 5*c = -10*c + 32 for q. 3 Solve 0 = -v - 2*i + 7, 0*i - i + 8 = -v for v. -3 Solve -5*j + 2*w - 4*w - 14 = 0, w + 5 = -2*j for j. -4 Solve -4*p + 9 = 3*x - 23, 5*x - 2*p = 10 for x. 4 Solve 0 = -f - 2*t + 7, -6*t = -5*t - 5 for f. -3 Solve 0 = 3*i + 6, 9*i - 5*i + 6 = 2*t for t. -1 Solve 0 = -5*m + w + 1, 0 - 1 = 2*m + w for m. 0 Solve -3*c + l - 12 = 0, -8 = 2*c + 9*l - 4*l for c. -4 Solve 2*k + 3*f - 16 = -15, -k = 3*f + 1 for k.
{ "pile_set_name": "DM Mathematics" }
9448212*w**5 + 8846*w**2. 566892720*w**2 Find the third derivative of 33*s**5 + s**4 - 26151*s**3 - 4807256*s**2. 1980*s**2 + 24*s - 156906 What is the second derivative of -1207203354*l**3 - 84458561*l + 5? -7243220124*l Find the third derivative of -15199530*l**3 - 2301797*l**2 - 7*l. -91197180 Differentiate -254597081*a**3 + 112919925 with respect to a. -763791243*a**2 Find the third derivative of -7*d**5 + 2885448*d**3 - 42536083*d**2 wrt d. -420*d**2 + 17312688 Find the second derivative of 11645967*h**4 - 9*h + 505423. 139751604*h**2 What is the third derivative of 54*p**5 - 2*p**4 - 20799*p**3 + 1620*p**2 - 21*p + 8 wrt p? 3240*p**2 - 48*p - 124794 Differentiate -10203701*h*o**2 - 2*o**2 + 2*o - 4285806 wrt h. -10203701*o**2 What is the derivative of 10*c**3 - 39*c**2 + 42701*c - 354906118? 30*c**2 - 78*c + 42701 Find the third derivative of 614998408*r**5 - 8*r**2 + 23615239. 36899904480*r**2 What is the third derivative of -p**3*q**3 + p**3*q**2 + 13*p**3*q - p**2 + 95787*p*q - 4525693*q**5 + 2*q wrt q? -6*p**3 - 271541580*q**2 Find the second derivative of -2*z**5 - 77675*z**4 + 26*z**3 - 17464304*z. -40*z**3 - 932100*z**2 + 156*z Find the third derivative of -87*u**5 + 3*u**4 - 8012*u**3 - 2*u**2 + 10570731*u. -5220*u**2 + 72*u - 48072 Find the second derivative of -11984213*s**5 - 32*s - 108776 wrt s. -239684260*s**3 What is the third derivative of -33*y**5 - 8468090*y**4 - 682370869*y**2 wrt y? -1980*y**2 - 203234160*y What is the derivative of -23193075*m - 36580068 wrt m? -23193075 Find the first derivative of 4*c**3 + 880*c**2 - 6*c + 869572 wrt c. 12*c**2 + 1760*c - 6 What is the third derivative of -133942493*p**4 - 158240052*p**2 wrt p? -3214619832*p Find the second derivative of 3971488*t**2 - 2485958*t. 7942976 What is the third derivative of -99565*l**5 + 6*l**4 + 6*l**3 + 9*l**2 - 231895*l? -5973900*l**2 + 144*l + 36 Find the first derivative of 318716*y*z + 2*y - 3*z**2 + z + 330001 wrt z. 318716*y - 6*z + 1 What is the third derivative of j*o**4 - 274668*j*o**3 + 114548*j*o**2 + 70*o**3 - 31*o**2 - 3*o wrt o? 24*j*o - 1648008*j + 420 Differentiate -465*z**4 - 14302*z**2 + 146078075. -1860*z**3 - 28604*z Find the third derivative of -27290243*f**3 - 7*f**2 + 644032. -163741458 Find the second derivative of 800351*u**4 - 2*u**3 - 3*u**2 + 1357*u - 7960. 9604212*u**2 - 12*u - 6 What is the third derivative of -75640853*m**4 - 132235582*m**2 wrt m? -1815380472*m Find the second derivative of 59*p**4 - 63*p**3 - 118*p**2 - 5812179*p + 2. 708*p**2 - 378*p - 236 What is the first derivative of 24901*c*w**2 + 241*c + 15208*w**2 - 2326 wrt c? 24901*w**2 + 241 Find the second derivative of -7*s**4 - 14*s**3 + 6678*s**2 + 4*s + 9075998 wrt s. -84*s**2 - 84*s + 13356 What is the third derivative of -310*c*p**3*z - 35*c*p**3 + 4*c*p**2*z + 14*c*z + 502*p**3*z + p**2 - 5855*p*z wrt p? -1860*c*z - 210*c + 3012*z Find the first derivative of -292330188*p**2 + 138082917. -584660376*p What is the third derivative of -3*c**2*j**3*s**3 + 3730793*c**2*j**3 + c**2*j**2*s**3 + 3*c**2*j**2 - 59*c*s - 2*c + 175*j**2 + 3*j*s wrt j? -18*c**2*s**3 + 22384758*c**2 Find the second derivative of -30411*t*v**2*z**2 + t*v**2*z - 46*t*v*z**2 + 2*t*v - 4625*v*z + v + 2*z wrt z. -60822*t*v**2 - 92*t*v What is the derivative of -564353619*v + 502801591? -564353619 What is the second derivative of 442*a*t**3*u - 4187*a*t**3 + 3*a*t*u + 16*a*u + 5*a + t**2*u - 1246*t*u wrt t? 2652*a*t*u - 25122*a*t + 2*u Find the third derivative of -7507672*c**4 - 39*c**2 - 58688*c. -180184128*c What is the second derivative of 28808240*g**4 + 18086137*g - 5 wrt g? 345698880*g**2 What is the derivative of 3099774*h*v + 15278297*h wrt v? 3099774*h What is the third derivative of -531639*m**3 + 44616682*m**2? -3189834 Find the second derivative of -1153697524*z**2 - 5041770*z + 14 wrt z. -2307395048 Differentiate 127966*l*w + 7*l - 6*w**2 + 9*w - 6638051 wrt w. 127966*l - 12*w + 9 Find the first derivative of -123400148*v**2 + 130823061 wrt v. -246800296*v What is the second derivative of -104703686*i*m**3*y**2 + 43806919*i*m*y - m**3 wrt y? -209407372*i*m**3 Differentiate 5225785*g + 5839738 with respect to g. 5225785 What is the first derivative of -1998297*s**3 + s**2 - 7602078 wrt s? -5994891*s**2 + 2*s Find the first derivative of -16420747*q - 2340766. -16420747 What is the third derivative of 63393203*w**4 + 2*w**3 - 43*w**2 + 31352*w? 1521436872*w + 12 Find the second derivative of 286984727*i**3 + 259554*i - 129 wrt i. 1721908362*i What is the third derivative of 233*m**3*s**2 + 17*m**3*s - 234*m**3 + 112422*m**2*s**2 + 107*s**2 + 2*s wrt m? 1398*s**2 + 102*s - 1404 What is the third derivative of 2232*w*x**4 + w*x**3 + 4124*w*x + x**4 + 323*x**3 - 2490*x**2 wrt x? 53568*w*x + 6*w + 24*x + 1938 What is the derivative of -246227024*d**2 + 126112991 wrt d? -492454048*d Find the second derivative of 29267576*k**2*u**3 - 7*k**2*u**2*z + 6*k*u**3*z - 481*k*z - 2*k - 909*u**3*z + 7*u*z + u wrt k. 58535152*u**3 - 14*u**2*z What is the first derivative of 19472349*k**2*m + k**2 + 392506*k - 3 wrt m? 19472349*k**2 Differentiate 196984*l + 6111419. 196984 Find the first derivative of 28559*k*v**2 - 157*k*v + 4*k + 59988486*v**2 wrt k. 28559*v**2 - 157*v + 4 Differentiate 3*x**4 - 4*x**3 - 3*x**2 - 3362*x - 233625128 with respect to x. 12*x**3 - 12*x**2 - 6*x - 3362 Find the first derivative of -101970828*o*q**3 + 247088*q**3 - q**2 - q wrt o. -101970828*q**3 What is the derivative of 345108578*u**2 - 263445986 wrt u? 690217156*u Find the third derivative of -344255742*d**3 - 81073023*d**2 wrt d. -2065534452 Find the second derivative of -704*r**4 - 44343*r**2 - 28*r + 1867936. -8448*r**2 - 88686 Find the second derivative of -2*d*l**2*w**2 + 2*d*l**2 - 3*d*l*w - 7495334*d*w**2 + 7*d + 4*l*w + 2*l wrt w. -4*d*l**2 - 14990668*d Find the third derivative of -31*i**3*j**2 - 2*i**3*j + 2969*i**3 - 253200*i**2*j**2 + 32*i*j**2 + 2*j**2 wrt i. -186*j**2 - 12*j + 17814 What is the second derivative of -8342289*n**2 - 3238649*n? -16684578 Find the second derivative of 8920176*l**2*v**2 + 224*l*v + 248*v**2 - 10*v wrt l. 17840352*v**2 Find the second derivative of 297*w**3 - 23769*w**2 + 3570903*w wrt w. 1782*w - 47538 What is the second derivative of -15629700*f**2 + 21222905*f? -31259400 What is the second derivative of 27028674*p**3*r**2 + 66248*p**3*r + 234*r wrt r? 54057348*p**3 Find the first derivative of 267*b**2*d*y**2 + 18071*b**2*d - 4479*b**2 - 4*b*y**2 - 35*y**2 wrt d. 267*b**2*y**2 + 18071*b**2 What is the derivative of 135613163*j**2 + 174557120 wrt j? 271226326*j What is the second derivative of -3*n**5 - 548*n**4*o - 117*n**2*o + 1358*n*o - 1861*o wrt n? -60*n**3 - 6576*n**2*o - 234*o Differentiate -9049*d**2*v**3 - 1207168*d**2 + 47*d*v**4 wrt v. -27147*d**2*v**2 + 188*d*v**3 What is the third derivative of -669214002*s**5 - 228293*s**2 - 2058 wrt s? -40152840120*s**2 Find the second derivative of -55608487*s**2*v - 43*s*v + 619*s + v + 7 wrt s. -111216974*v What is the second derivative of -11175433*s**2 - 1658909*s wrt s? -22350866 Find the second derivative of -784*a**2*v**2 + a**2*v - 8*a*v**2 + 18*a*v + 10*a + 105*v**2 - 53*v + 16 wrt v. -1568*a**2 - 16*a + 210 Find the second derivative of 28*v**3 + 6699*v**2 + 9095924*v wrt v. 168*v + 13398 What is the derivative of 12*c**4 + 538410*c + 106848232 wrt c? 48*c**3 + 538410 Find the third derivative of -15388246*h**5 + 13672*h**2 - 42*h. -923294760*h**2 Find the second derivative of 71*t**4 + 13*t**3 + 3244*t**2 + 32482*t - 556 wrt t. 852*t**2 + 78*t + 6488 What is the first derivative of -1036*o*y**3 + o*y**2 - 75*o*y + 2*o + 5478*y**3 - 498 wrt o? -1036*y**3 + y**2 - 75*y + 2 What is the third derivative of 863935177*x**4 + 84454*x**2 + 126*x - 2 wrt x? 20734444248*x What is the second derivative of -44217127*a**2*i**2 + 2*a**2 - 90*a*i**2 + a*i - 4*a - 2*i**2 + 287*i - 1 wrt a? -88434254*i**2 + 4 What is the second derivative of -16047919*f**2*w - 299*f*w + 64*f wrt f? -32095838*w What is the second derivative of -981187407*t**2*u**2 - 2*t*u - 179863*t - 215*u**2 wrt t? -1962374814*u**2 What is the third derivative of -7*g**3*o**2 + 154905*g**3*o*y**2 - 2*g**2*o**2*y**2 - 59*g*o**2*y**2 - 14816*o wrt g? -4
{ "pile_set_name": "DM Mathematics" }
ve. u**(4/5) Simplify ((x**1*x**(-6))**(-46))**19 assuming x is positive. x**4370 Simplify (((s**(1/3)*s*s)/(s*s*s/s**(-7)*s*s))/(s**(-2/9)*s*s)**(2/63))**43 assuming s is positive. s**(-237059/567) Simplify j/j**(-3/7)*j*j**(-11/5)/j*j*j**27*(j/j**8)/j assuming j is positive. j**(673/35) Simplify (g**4/(g*g**(-14)))/(g**(1/6)/g**(4/5)) assuming g is positive. g**(529/30) Simplify ((d**(-5)/d)/d**(-39))**(5/9) assuming d is positive. d**(55/3) Simplify (((i**(2/15))**(-46))**46)**(-25) assuming i is positive. i**(21160/3) Simplify c**19/(c*c*c/((c*c**(-2/7))/c)*c)*c**(-10)/(c*c**16*c*c) assuming c is positive. c**(-100/7) Simplify ((s**(6/13)/(((s**6*s)/s)/s))**(-39))**(-6) assuming s is positive. s**(-1062) Simplify (c/(c*c**(1/4)*c)*c**16)/(c*c**(-3/5))**(1/16) assuming c is positive. c**(589/40) Simplify x**(-8)/(x**(4/11)/x)*(x*x**(-13))/(x*x**(-5)/x) assuming x is positive. x**(-158/11) Simplify ((w/(w/(w**(-1/2)/w)))**(-1/5)/(w*w**(-2/15)*w/((w**(-1/10)*w)/w)))**(-2/27) assuming w is positive. w**(10/81) Simplify ((f/(f*f*f/f**(-2/5)*f*f))/((f**(1/7)*f)/f)*(f**(-3))**(4/9))**(-20) assuming f is positive. f**(2468/21) Simplify (w**7/(w/(w*w**(9/5))))/((w/(w/(w/((w/(w/((w**0/w)/w)))/w))))/w)**(-31/3) assuming w is positive. w**(199/5) Simplify (z/z**(-2/17)*z**(1/17))/((z*z*z**(-24))/z**(2/9)) assuming z is positive. z**(3580/153) Simplify ((d**3/((d*d*d*(d/(d/(d*d*d**(8/3))))/d*d)/d))/(d**(-1/4)*d)**(-5/9))**(-46) assuming d is positive. d**(299/2) Simplify (((f**(-1/2)*f)/f)/f*f**(-8)/f)/((f*f/(f/f**(3/4)))/f)**(1/5) assuming f is positive. f**(-213/20) Simplify (r/r**(-5)*r)/r**(-1/3)*(r**(-2/9))**(-2) assuming r is positive. r**(70/9) Simplify d/(d**(-1/4)*d*d)*d**(-8)*d*(d/d**11)/((d/d**7)/d) assuming d is positive. d**(-43/4) Simplify (((p**(3/5)*p)**(-2/89))**(11/3))**(-11) assuming p is positive. p**(1936/1335) Simplify ((((i*i**7/i)/i*i)/i)/i**(-11))**(-26) assuming i is positive. i**(-442) Simplify (b**(-1/4)/b*b**30)**(2/15) assuming b is positive. b**(23/6) Simplify (d**(3/7)*(d*d*d/((d/d**6)/d))/d*d**5*d**(1/4))**43 assuming d is positive. d**(16469/28) Simplify ((f**(-6)/((f**(2/7)/f)/f*f))/((f*f/((f/f**(-3/2)*f)/f))/(f/((f*f**(1/9))/f*f))))**(6/31) assuming f is positive. f**(-617/651) Simplify ((v*v*v**(-3/22)*v)/(v*v**(-23)))/(v**(1/2)/(v**(-3/14)/v)) assuming v is positive. v**(3565/154) Simplify (a**(-8/7)/(a/(a*a**(-9)))*a**5*a*a*a**2*a)**(-10/3) assuming a is positive. a**(10/21) Simplify (g*g*g**0)**(-31)/(g**11/(g*g**(7/2))) assuming g is positive. g**(-137/2) Simplify (d/d**(-4/5)*(d/((d**7/d)/d))/d)/(d/(d/(d*d/d**(7/2)))*d*d**(1/6)) assuming d is positive. d**(-43/15) Simplify (a*a**(-10))**(-15/7)*a**(2/15)*a**(1/8) assuming a is positive. a**(16417/840) Simplify (((r/(r/(r**(2/15)/r)))/r*(r*r*(r*r*r*r**(-1/4))/r*r)/r)/(r**5/r*r*r*r**(-1/12)/r*r))**(5/7) assuming r is positive. r**(-121/42) Simplify ((t*t/(t/(t/(t/(t**6/t)))))**(-2/17))**43 assuming t is positive. t**(-516/17) Simplify ((x**(-5)/x*(x*x**7)/x)/(x**(1/6)*x*x*x**(2/17)))**37 assuming x is positive. x**(-4847/102) Simplify (((j*j/(j**(-11)/j))**(-6/23))**(9/10))**(-2/27) assuming j is positive. j**(28/115) Simplify (z**4/z*z*z*z/z**(-7))/(z**(-1/3)/z**8) assuming z is positive. z**(64/3) Simplify (b**(-21)/b*(b**(2/5)*b)/b*b)/(b**(2/19)*b)**(-2/75) assuming b is positive. b**(-9771/475) Simplify ((r**7/(r/(r/r**(-3/8))))/(r**(-2/3)/r*r**(-6/5)))**(-1) assuming r is positive. r**(-1229/120) Simplify (f*f**18*f)**(-2/19)*(f*f**4)**(-5/11) assuming f is positive. f**(-915/209) Simplify (k/k**(-4)*k)/k**3*(k**(-1))**(-50) assuming k is positive. k**53 Simplify (o**5/o**11)/(o**8/(o**(-17)*o)) assuming o is positive. o**(-30) Simplify u**(-1/18)*u*u/(u/u**(-2/9)*u*u)*u*(u/(u/(u/u**(5/2))))/u*u**(-3/4)/u*u assuming u is positive. u**(-127/36) Simplify (a*a**(-5))/a**(-1/10)*(a/((a/((a**(-11)*a*a*a)/a))/a)*a)/a**(-16/5) assuming a is positive. a**(-77/10) Simplify (s**(1/7))**(1/8)/(s*s**(-5/3)*s**(-2/13)) assuming s is positive. s**(1831/2184) Simplify (k**0)**15*(k/k**(1/48))/(k*k/k**(6/13)) assuming k is positive. k**(-349/624) Simplify (((z/(z*z/z**(-12)))/z)/(z*z*z/(z/(((z*z*z*z**(-14)*z)/z)/z*z)*z)))/(z**1*z/z**(-3/11)) assuming z is positive. z**(-69/11) Simplify (o*o**(8/5))/o*o*o**(-19)*(o*o**(3/25)*o)/o**6 assuming o is positive. o**(-507/25) Simplify ((q**(-2/9)*q**(-6))/((q**(-5)*q)/(q/(q*q**(-9)*q))))**(-5) assuming q is positive. q**(-260/9) Simplify (x/(x**(-2/9)*x)*x*x*x**(2/9))/(x*x*x**(-3/5))**(17/2) assuming x is positive. x**(-851/90) Simplify ((a**(2/5))**(4/33)/((a**(2/9)/a)/a**6))**31 assuming a is positive. a**(104749/495) Simplify ((w/w**(3/11))/w**36)/(w**(-2/3)*w/w**(-2/19)) assuming w is positive. w**(-22391/627) Simplify ((u*u*(u**34/u)/u*u)/u**(-16/5))**(1/16) assuming u is positive. u**(191/80) Simplify (((p**(-4))**(-32))**(-4))**(-1/53) assuming p is positive. p**(512/53) Simplify ((o/o**4)/(o/o**(-5/6)*o))/(o/(o/o**(-3/7))*o/(o/(o/((o/(o*o/((o*o*o*(o**(-1/7)*o)/o*o*o)/o)))/o)))) assuming o is positive. o**(-191/42) Simplify ((s*((s*s**(2/7))/s)/s)/s*s*s/((s*s**(-1/14)*s)/s))**(14/3) assuming s is positive. s**(5/3) Simplify ((x*(x**(-2/31)/x)/x)/(x*x**(2/35)))/(x*x**(1/8)/x*x)**(-9/4) assuming x is positive. x**(14221/34720) Simplify ((l**(-1)/l)/l*l**(7/5))/(l**(-2))**(-8/5) assuming l is positive. l**(-24/5) Simplify (r*r/r**(-2/13))/r**(4/9)*r**13/r**(-11) assuming r is positive. r**(3008/117) Simplify (w*w/w**(-3))**(-1/18)*w*w**(4/15)*w*w*w**(4/5) assuming w is positive. w**(341/90) Simplify d**(1/12)*d**(2/5)*(d/(d/(d/(d/(d*d**9))))*d*d)**(7/4) assuming d is positive. d**(1289/60) Simplify ((a/(a*a**(-2/7)/a)*a*(((a/a**(-3/2))/a)/a)/a*a*a)**(-11/7))**(-8/3) assuming a is positive. a**(2332/147) Simplify ((w*w/(w**5/w)*w)/w)/(w/(w/(w**11/w)))*(w/(w/(w**(2/31)*w)))/(w*w*w**(-1/40)) assuming w is positive. w**(-16009/1240) Simplify ((i**(-2/19)/(((i**4/i*i)/i)/i*i))**6)**37 assuming i is positive. i**(-13098/19) Simplify (((w**(-1/4))**50)**(-8/5))**(-7) assuming w is positive. w**(-140) Simplify (w**(-1)/w)**28/(w**14/w)**(-38) assuming w is positive. w**438 Simplify ((c/c**(-7))/(c/((c*c**(-4/3)*c*c)/c*c)*c))/(c/c**(-5)*c/(c/c**(1/3))) assuming c is positive. c**(4/3) Simplify ((h/h**(-3))/h**(1/20))/(h**17*h)**(2/57) assuming h is positive. h**(1261/380) Simplify (c*c**(1/6))**(-22)/(c**2*c)**(-33) assuming c is positive. c**(220/3) Simplify (a*a/(a**20/a)*a**(-17)*a)/(a**(2/5))**(-48) assuming a is positive. a**(-69/5) Simplify (a*a*a*a*a**(-4/3)*a*a*a*a*a**(-1))/(a**(4/7)*a*a**(5/7)) assuming a is positive. a**(71/21) Simplify ((((x/x**(2/5))/x)/(x/x**(-2/11)))**(-1/20))**(-1/27) assuming x is positive. x**(-29/9900) Simplify (s**(4/11))**(-9)/((((s/(s/(s/(s/(s*(s*((s*s**(2/5)*s)/s)/s)/s*s)*s))))/s)/s)/s)**(-11) assuming s is positive. s**(-1148/55) Simplify u**(-1/10)/u*u**35*u**(2/23)/(u/(u*u**(-26/5))) assuming u is positive. u**(6621/230) Simplify (s**(-10)*s/s**(-2/17))**(5/2) assuming s is positive. s**(-755/34) Simplify n**(-3/7)/(n**(2/3)/n)*(n*n**(6/5))**(-16) assuming n is positive. n**(-3706/105) Simplify (u**31/(u/u**11*u*u))**7 assuming u is positive. u**273 Simplify ((u*u/(u/(u**(-1/6)/u)))/u)**(3/28)*((u**(-6/7)/u*u*u)/u*u)/u*(u**(-10)/u)/u assuming u is positive. u**(-727/56) Simplify (u/(u/(u*u**9)))**(-2/11)/(u**(-18)/u**(7/3)) assuming u is positive. u**(611/33) Simplify (d/(d**5*d))/(d**(6/11)/d)*(d**(-2/13)/d)**28 assuming d is positive. d**(-5270/143) Simplify (n*n**(-23/2)/n*n)**40*(n*n*n/n**(-2/3))/(n*n*n**(-2/3)*n*n) assuming n is positive. n**(-1259/3) Simplify (y**(1/6)/y**(-4/9))/((y**(-6)/y)/y**9) assuming y is positive. y**(299/18) Simplify (l/l**(1/14))**40/(l**(2/63)/l*l/(l*l*l**(1/15))) assuming l is positive. l**(1763/45) Simplify ((b*b/b**(-1/4))/b**(6/5))/(b**0)**(-9) assuming b is positive. b**(21/20) Simplify ((j/((j**4/j)/j)*j*j**(1/9))/(j/j**(-2/9)*j)**(9/13))**(-27) assuming j is positive. j**(501/13) Simplify v**(-8/7)*v**(-1)*v**(-2)*v*v/(v/(v*v**(1/4)))*v assuming v is positive. v**(-25/28) Simplify (c/(c**(-17)*c)*c*c**(2/27))**(20/3) assuming c is positive. c**(9760/81) Simplify (d*d*d**8*d/((d*d**9/d*d)/d))/(d**(-1))**(3/26) assuming d is positive. d**(55/26) Simpli
{ "pile_set_name": "DM Mathematics" }
the common denominator of -77/380 and -69/15656? 78280 Find the common denominator of -37/520 and -62/7605. 60840 Calculate the common denominator of 35/48 and 65/356. 4272 Calculate the common denominator of 61/10 and 45/9368. 46840 What is the common denominator of -31/56 and -1/153604? 2150456 Calculate the lowest common multiple of 39330 and 63. 275310 Calculate the common denominator of -101/2140 and 1/70. 14980 Calculate the least common multiple of 125515 and 351442. 1757210 Find the common denominator of 7/16173 and -26/803259. 2409777 Find the common denominator of 39/530 and 38/3127. 31270 What is the common denominator of 48/487325 and -71/194930? 974650 What is the least common multiple of 20 and 3962130? 7924260 Find the common denominator of -45/92 and 143/11316. 11316 What is the least common multiple of 50 and 3740? 18700 What is the lowest common multiple of 264960 and 60? 264960 What is the common denominator of 35/299064 and 95/816? 598128 What is the smallest common multiple of 103 and 341? 35123 What is the common denominator of -28/27885 and -52/21? 195195 Calculate the common denominator of -77/71900 and 109/120. 431400 Find the common denominator of 19/8970 and 131/2208. 143520 Calculate the common denominator of -17/3252 and -137/1788. 484548 Calculate the common denominator of -155/12312 and 161/3240. 61560 Calculate the lowest common multiple of 15456 and 40848. 571872 Calculate the lowest common multiple of 4408 and 7163. 57304 What is the smallest common multiple of 13498 and 34? 13498 What is the least common multiple of 1019187 and 11? 11211057 What is the common denominator of -47/1129 and 29/149028? 149028 Calculate the smallest common multiple of 186450 and 22600. 745800 What is the common denominator of 31/330 and -73/5720? 17160 Calculate the lowest common multiple of 795 and 438. 116070 Calculate the least common multiple of 72080 and 5100. 1081200 What is the smallest common multiple of 69228 and 216? 138456 Calculate the common denominator of -54/4075 and -8/275. 44825 What is the lowest common multiple of 80843 and 28? 323372 What is the common denominator of -57/1589 and 34/9247? 2099069 Calculate the common denominator of -47/17359 and 71/173590. 173590 Find the common denominator of 197/1984440 and -55/24. 1984440 Find the common denominator of -101/170100 and -151/264600. 2381400 Find the common denominator of -173/720 and -37/10080. 10080 Calculate the common denominator of 91/176 and -109/2376. 4752 What is the lowest common multiple of 2060 and 15965? 63860 Calculate the lowest common multiple of 7 and 701. 4907 What is the smallest common multiple of 14868 and 231? 163548 What is the smallest common multiple of 360 and 4500? 9000 What is the lowest common multiple of 6 and 9230? 27690 What is the lowest common multiple of 16884 and 54? 50652 Calculate the common denominator of 87/644 and 37/910. 41860 Calculate the lowest common multiple of 55011 and 55. 275055 Calculate the least common multiple of 3040 and 3030. 921120 Calculate the lowest common multiple of 3444 and 28126. 168756 Calculate the smallest common multiple of 4 and 148. 148 Calculate the lowest common multiple of 42 and 3408. 23856 What is the common denominator of -51/44 and 109/108966? 217932 Calculate the common denominator of -15/616 and -93/6314. 25256 What is the lowest common multiple of 73150 and 154? 73150 Calculate the common denominator of 59/462 and -127/12726. 139986 Calculate the common denominator of 59/163350 and -133/10800. 1306800 Calculate the smallest common multiple of 141366 and 4. 282732 Find the common denominator of -79/36804 and -67/6. 36804 Calculate the common denominator of 107/58086 and -163/251706. 755118 Find the common denominator of -43/24 and 79/90. 360 What is the common denominator of -25/1464 and -43/30012? 60024 What is the common denominator of 119/18 and -63/116596? 1049364 Calculate the least common multiple of 6996 and 477. 20988 Calculate the least common multiple of 25538 and 84. 1072596 What is the common denominator of 127/180 and -49/29180? 262620 Calculate the lowest common multiple of 62208 and 256. 62208 Find the common denominator of -23/137824 and -85/3504. 413472 Find the common denominator of 79/32 and -7/3784. 15136 Calculate the least common multiple of 9140 and 10968. 54840 Calculate the lowest common multiple of 4840 and 3872. 19360 What is the lowest common multiple of 19548 and 1296? 234576 What is the common denominator of 64/11475 and 37/2250? 114750 Calculate the common denominator of -131/1764 and -34/621. 121716 Calculate the least common multiple of 31 and 1045. 32395 Calculate the least common multiple of 15 and 119745. 119745 Calculate the common denominator of 7/194 and -43/372. 36084 Calculate the least common multiple of 77467 and 413. 542269 Find the common denominator of 81/44 and -67/70156. 771716 Find the common denominator of -67/400 and -117/110. 4400 Calculate the smallest common multiple of 136 and 93993. 751944 Find the common denominator of -97/8 and 7/26976. 26976 Calculate the common denominator of -71/3330 and -53/6327. 63270 What is the smallest common multiple of 19257 and 99036? 693252 Calculate the common denominator of 151/1176 and -23/1862. 22344 What is the lowest common multiple of 11 and 33535? 368885 Find the common denominator of -37/15690 and -9/287650. 862950 Find the common denominator of -85/15924 and -95/5308. 15924 What is the smallest common multiple of 99 and 26631? 26631 Calculate the least common multiple of 43648 and 59520. 654720 What is the lowest common multiple of 2160384 and 2328? 2160384 What is the lowest common multiple of 2516 and 35076? 596292 Find the common denominator of -63/1625 and 5/43199. 5399875 Calculate the smallest common multiple of 22 and 2726. 29986 What is the common denominator of 61/69750 and 77/20? 139500 Calculate the least common multiple of 5656 and 44. 62216 What is the common denominator of -11/9688 and -77/4? 9688 Find the common denominator of 31/1575 and 74/63. 1575 What is the least common multiple of 792420 and 12645? 2377260 What is the lowest common multiple of 116980 and 7? 818860 Calculate the least common multiple of 5580 and 405. 50220 Calculate the least common multiple of 10329 and 621. 2138103 Calculate the common denominator of 37/854 and 57/22. 9394 What is the smallest common multiple of 2696 and 215680? 215680 Calculate the common denominator of -119/623544 and 87/4. 623544 Find the common denominator of 99/127412 and -95/318. 382236 Find the common denominator of -49/216 and -139/16824. 151416 Calculate the smallest common multiple of 2820 and 2068. 31020 Find the common denominator of -169/1380 and 139/10764. 53820 What is the least common multiple of 16 and 2494? 19952 Find the common denominator of 22/18999 and 31/56997. 56997 Find the common denominator of -71/7923 and 62/99385. 5664945 What is the least common multiple of 50 and 204485? 2044850 What is the common denominator of 58/41637 and 10/3? 41637 Find the common denominator of 85/9132 and -61/18. 27396 Calculate the least common multiple of 36902 and 28. 516628 What is the smallest common multiple of 1086 and 18? 3258 Calculate the lowest common multiple of 216 and 98847. 790776 Calculate the smallest common multiple of 7680 and 48. 7680 What is the common denominator of 83/480 and 1/85278? 6822240 Calculate the common denominator of 58/9 and 79/69242. 623178 What is the lowest common multiple of 1297960 and 38588? 14277560 What is the common denominator of -127/48480 and 79/16? 48480 Find the common denominator of -36/46163 and 89/1060. 923260 Find the common denominator of -39/39830 and -25/5121. 358470 Calculate the smallest common multiple of 560 and 110880. 110880 What is the common denominator of 101/150216 and 1/2904? 1652376 Calculate the smallest common multiple of 4 and 9942. 19884 What is the lowest common multiple of 652 and 46292? 46292 What is the lowest common multiple of 540 and 31068? 466020 Calculate the lowest common multiple of 98 and 7194. 352506 What is the common denominator of 1/4863344 and -99/16? 4863344 Find the common denominator of -13/105380 and 61/9580. 105380 Calculate the commo
{ "pile_set_name": "DM Mathematics" }
g = 28 + y. Solve 2/5*d**2 - g + 1/5*d**5 - 1/5*d**4 + 1/5*d - 2/5*d**3 = 0. -1, 1 Let v(d) be the first derivative of 5 + 0*d**2 + 0*d - 1/4*d**4 - 1/3*d**3. Find w, given that v(w) = 0. -1, 0 Let z = -6 + 8. Let t(m) be the first derivative of 3/14*m**4 + 3 + 2/7*m**3 + 2/35*m**5 + 0*m + 1/7*m**z. Factor t(u). 2*u*(u + 1)**3/7 Let u(w) = w**4 - w**2 - w + 1. Let i(l) = l**5 - l**3 - l + 1. Let h(x) = 4*i(x) - 4*u(x). Let h(y) = 0. What is y? -1, 0, 1 Let h(s) be the third derivative of -s**8/5040 + s**6/360 - s**5/180 - s**3/3 + s**2. Let z(l) be the first derivative of h(l). Factor z(o). -o*(o - 1)**2*(o + 2)/3 Let u(t) be the third derivative of t**5/80 - 7*t**4/32 - t**3 + 14*t**2. Factor u(z). 3*(z - 8)*(z + 1)/4 Let s = -3 - -3. Let g(k) = k**3 - 4*k**2 + k. Let b be g(4). Factor s*n - n**2 + 2*n - b*n. -n*(n + 2) Factor 44/5*a - 78/5*a**2 - 8/5 + 9*a**3. (3*a - 2)**2*(5*a - 2)/5 Let k(g) = 12*g**2 + g. Let t be k(0). Let 0*l + 0*l**2 + t*l**3 - 1/2*l**4 + 0 = 0. What is l? 0 Let i = -3 - -4. Let s(d) be the first derivative of -21*d**2 - 49*d**3 - 4*d + i - 343/8*d**4. Factor s(l). -(7*l + 2)**3/2 Let p(s) be the second derivative of -s**5/60 - s**4/12 - s**3/6 - s**2/2 + 4*s. Let d(b) be the first derivative of p(b). Suppose d(n) = 0. Calculate n. -1 Let z(d) be the second derivative of -d**5/10 + d**4/3 + d**3/3 - 2*d**2 + 7*d. Suppose z(w) = 0. Calculate w. -1, 1, 2 Let z(r) = 53*r**2 + 71*r + 18. Let f(a) = 27*a**2 + 36*a + 9. Let w(x) = 11*f(x) - 6*z(x). What is s in w(s) = 0? -1, -3/7 Let q(d) = 2*d + 4. Let i be q(0). Suppose -3*v + 0 = -k - 4, 3*v - 2*k = 2. Suppose 0*a**i + 2/3*a + 2/3*a**5 + 0*a**v + 0 - 4/3*a**3 = 0. Calculate a. -1, 0, 1 Let t = -3239/30 - -108. Let z(j) be the third derivative of 1/24*j**4 + 1/120*j**6 + t*j**5 - 2*j**2 + 0 + 0*j + 0*j**3. Factor z(n). n*(n + 1)**2 Suppose 1 = 3*m + f - 4, 3*m = 5*f - 25. Let r(d) be the first derivative of -1 + m*d - 1/12*d**4 - 1/3*d**3 - 1/3*d**2. Factor r(j). -j*(j + 1)*(j + 2)/3 Suppose -4 = 2*q + 2. Let a = q + -3. Let n(m) = m**2. Let b(g) = -g**5 + 4*g**3 - 5*g**2 - 3*g + 2. Let y(s) = a*n(s) - 2*b(s). Suppose y(x) = 0. What is x? -2, -1, 1 Suppose 0 = 4*t + 5*u, 6*u = -4*t + 7*u. Let r(i) be the second derivative of 0*i**3 + 0*i**4 + t*i**2 + 0 - i + 1/10*i**5 + 1/21*i**7 + 2/15*i**6. Factor r(g). 2*g**3*(g + 1)**2 Let i be 1 + (-2 - -3) + 0. Suppose -v + 2*v + v + v**i + 2*v = 0. What is v? -4, 0 Let c be 1 - 9/((-27)/(-30)). Let v = 11 + c. Let -3/5 + 9/5*j**v - 6/5*j = 0. What is j? -1/3, 1 Let r(h) be the third derivative of -h**6/24 + 5*h**4/24 - 15*h**2. Find u, given that r(u) = 0. -1, 0, 1 Let b(t) be the third derivative of -1/32*t**4 + 0 + 0*t**3 - 1/240*t**5 + 4*t**2 + 0*t. Factor b(i). -i*(i + 3)/4 Suppose 3*j - 2*j - 21 = -5*z, 0 = 2*z - 8. Let v be j + 3 + -2 + 1. Factor -5*n**3 + n**2 - 2*n**v + 5*n**4 + n**2. n**2*(n - 1)*(5*n - 2) Let w(f) = -4*f**3 + 8*f - 14. Let b(k) = 5*k**3 + k**2 - 9*k + 15. Let h(t) = -5*b(t) - 6*w(t). Factor h(y). -(y - 1)*(y + 3)**2 Let n(a) = a**5 + 4*a**4 + 4*a**2 + 4*a. Let m be (4/(-5))/(1/(-5)). Let x(w) = -w**5 - 3*w**4 - 3*w**2 - 3*w. Let f(c) = m*x(c) + 3*n(c). Factor f(s). -s**5 Determine j, given that 1/2*j - 5/8*j**2 + 1/8 = 0. -1/5, 1 Let i(b) be the first derivative of -27*b**4 + 37*b**3 + 3*b**2/2 - 6*b - 6. Factor i(u). -3*(u - 1)*(4*u - 1)*(9*u + 2) Let h(p) = 2*p**5 - 58*p**4 + 50*p**3 - 14*p**2 + 10*p. Let c(n) = n**5 - 19*n**4 + 17*n**3 - 5*n**2 + 3*n. Let w(k) = 10*c(k) - 3*h(k). Factor w(j). 4*j**2*(j - 2)*(j - 1)**2 Factor -111*j - 57*j - 122 + 90 - 108*j**2. -4*(3*j + 4)*(9*j + 2) Let v(n) be the second derivative of n**9/84 - n**8/70 + n**7/210 - 3*n**3/2 - 5*n. Let w(a) be the second derivative of v(a). Determine c so that w(c) = 0. 0, 1/3 Let z(t) be the second derivative of -1/24*t**4 - 1/120*t**5 - 1/12*t**2 - 1/12*t**3 + 2*t + 0. What is m in z(m) = 0? -1 Factor -2/9*k**3 + 8/9*k + 0 + 0*k**2. -2*k*(k - 2)*(k + 2)/9 Let v(x) be the first derivative of -49/10*x**4 - 32/5*x**2 - 154/15*x**3 - 8/5*x - 6. Determine u so that v(u) = 0. -1, -2/7 Let l = -24 - -433/18. Let h(d) be the second derivative of 1/36*d**4 - 1/60*d**5 + 0 - 1/6*d**2 + l*d**3 + 2*d. Suppose h(v) = 0. What is v? -1, 1 Let f = -68 + 71. Let j(n) be the second derivative of -n + n**2 - 1/2*n**f + 0 + 1/12*n**4. Determine a, given that j(a) = 0. 1, 2 Let d(c) be the first derivative of c**2/2 + 5*c - 1. Let k be d(-5). Factor k + 2/5*z**2 - 2/5*z. 2*z*(z - 1)/5 Factor -5*z**3 - 5*z**3 + 11*z**3 - 2*z**2. z**2*(z - 2) Suppose 0 = -3*v + 5*v + 3*v. Solve v*b - 1/3 + 1/3*b**2 = 0 for b. -1, 1 Let m(i) be the second derivative of -3*i**5/20 - i**4/2 + 11*i. Let m(k) = 0. What is k? -2, 0 Suppose -4 + 40 = 6*d. Let q(k) be the second derivative of 0 + 0*k**2 - 1/84*k**7 - 1/30*k**d + 1/12*k**3 + 1/12*k**4 + 0*k**5 - k. Factor q(t). -t*(t - 1)*(t + 1)**3/2 Factor 0 + 0*w - 1/2*w**2 - 1/2*w**5 + 1/2*w**4 + 1/2*w**3. -w**2*(w - 1)**2*(w + 1)/2 Let j(s) = s**2 - 6*s - 11. Let x be j(8). Let a be x*1*(-2)/(-5). Factor a*c**3 + 0*c**3 + 0*c**3 - 2*c. 2*c*(c - 1)*(c + 1) Factor 4*d**3 + 4*d**2 + 20*d + 19*d**2 + 8 - 7*d**2. 4*(d + 1)**2*(d + 2) Find a, given that -3/7*a**2 - 3/7 - 9/7*a**3 + 6/7*a**4 + 9/7*a = 0. -1, 1/2, 1 Let q(g) = -g**3 + 7*g**2 + g. Let f(x) = 4*x**2. Let a(d) = 7*f(d) - 4*q(d). Solve a(h) = 0 for h. -1, 0, 1 Let n(v) = -4*v**3 + 8*v**2 - 11*v + 1. Let m(k) = -7*k**3 + 15*k**2 - 21*k + 3. Let t(h) = 3*m(h) - 5*n(h). Determine l, given that t(l) = 0. 1, 2 Let k = 145/7 + -1469/77. Determine o, given that k*o**2 + 24/11*o + 8/11 = 0. -2/3 Let l be -1 + -6*4/(-6). What is m in 6*m**5 - 6*m**5 + 2*m**2 + 6*m**4 + 6*m**l + 2*m**5 = 0? -1, 0 Let y = 34/99 + 6/11. Factor -y*z + 2/3 + 2/9*z**2. 2*(z - 3)*(z - 1)/9 Let d(w) be the third derivative of -w**6/30 - 2*w**5/15 + w**4/6 + 4*w**3/3 - 3*w**2. Solve d(n) = 0 for n. -2, -1, 1 Let z be -2*((-2)/(-15))/(12/(-18)). Let f(x) be the first derivative of 4/15*x**3 + 4 - 2/25*x**5 + 0*x**4 - z*x + 0*x**2. Factor f(d). -2*(d - 1)**2*(d + 1)**2/5 Suppose 3*r = -2*o + 6, 7 = -2*o + 3*r + 1. Determine z so that 2*z**2 + o*z**2 + 7*z - 3*z = 0. -2, 0 Determine y, given that 0*y + 1/3*y**2 + 0 = 0. 0 Let k = 30/7 + -173/42. Let n(o) be the second derivative of k*o**4 + 2/9*o**3 + 0 - 3*o + 0*o**2. Factor n(a). 2*a*(3*a + 2)/3 Determine v so that 0 + 2/5*v**2 + 2/5*v = 0. -1, 0 Let d = -129 - -905/7. Factor 2/7*l**3 - d - 2/7*l + 2/7*l**2. 2*(l - 1)*(l + 1)**2/7 Let j = 15/11 - 214/165. Let a(l) be the second derivative of 0 - j*l**6 + 1/5*l**5 - 2/3*l**3 + 0*l**4 + l**2 + l. Determine m, given that a(m) = 0. -1, 1 Let g(a) = -2*a**2 - 5*a + 7. Let h(v) = v**2 + 3*v - 4. Let u(d) = 3*g(d) + 5*h(d). Factor u(p). -(p - 1)*(p + 1) Suppose 2*c - 6*m = -4*m - 4, -3*c + 5*m = 16. Suppose 4*p = -c*r - 12, r - 3 - 3 = 2*p. Find h, given that -5*h + r*h + 4*h**2 + 2*h + 2*h**2 = 0. 0, 1/2 Let y(c) be the second derivative of -7*c**5/80 - 5*c**4/8 - 3*c**3/2 - c**2 + 7*c. Factor y(a). -(a + 2)**2*(7*a + 2)/4 Let w(j) be the third derivative of 1/30*j**5 + 0*j + 0*j**3 + 2*j**2 + 0 + 1/6*j**4. Determine v, given that w(v) = 0. -2, 0 Let d be (7/14)/(20/16). Factor -2/5 + d*o**2 + 0*o. 2*(o - 1)*(o + 1)/5 Suppose 3/2*a**4 + 3*a**3 + 0 - 3/2*a**2 - 3*a = 0. Calculate a. -2, -1, 0, 1 What is m in 0 + 1/5*m**2 - 1/5*m**4 + 0*m + 1/5*m**3 - 1/5*m**5 = 0? -1, 0, 1 Let l be (-1643)/180 + 18/30. Let r = l + 35/4. Factor -2/9*x + r*x**3 - 2/9*x**4 + 2/9*x**2 + 0. -2*x*(x - 1)**2*(x + 1)/9 Let b(n) be the third derivative of 1/105*n**5 + 0*n + 0 + 4/21*n**3 - 7*n**2 - 1/14*n**4. Factor b(j). 4*(j - 2)*(j - 1)/7 Let x be 140/(-42) + (-20 - 0)/(-5). Solve -1/3*z**2 - z - x = 0. -2, -1 Let t(x) be the third derivative of -x**6/24 - x**5/3 - 25*x**4/24 - 5*x**3/3 - 15*x**2. Factor t(k). -5*(k + 1)**2*(k + 2) Let l(i) be the first derivative of -i**7/14 - 3*i**6/10 - 9*i**5/20 - i**4/4 - 8*i - 2. Let u(k) be the first derivative of l(k). Factor u(f). -3*f**2*(f + 1)**3 Suppose -3*p - 6 = 0, o + 5*p + 2 = -o. Let b(u) be the first derivative of 1/6*u**o - 1 + 4/9*u**3 + 0*u - 2/5*u**5 + 0*u**2. Factor b(y). -2*y**2*(y - 1)*(3*y + 2)/3 Let r(m) be the second derivative of m**7/21 + 2*m**6/15 - m**4/3 - m**3/3
{ "pile_set_name": "DM Mathematics" }
m(r). Let x(v) = 2*v**2. Calculate x(t(z)). 2*z**2 - 120*z + 1800 Let z(d) = 183 - 183 - d. Let w(j) = 23*j**2. Give z(w(t)). -23*t**2 Let y(n) = -215*n**2. Let d(x) = 7*x. What is d(y(i))? -1505*i**2 Let x(f) = -172*f. Let p(q) = -12*q. Calculate x(p(r)). 2064*r Let u(i) = 11*i - 3. Let l(r) = -144*r + 40. Let k(b) = -3*l(b) - 40*u(b). Let t(m) = 4*m. Calculate t(k(x)). -32*x Let m(o) = 0 - o + 0. Let t(q) be the second derivative of -q**7/1260 + 5*q**4/12 - 6*q. Let w(g) be the third derivative of t(g). Calculate m(w(i)). 2*i**2 Let a(s) be the second derivative of s**4/4 + 7*s. Let z(q) = -3*q**2. Give z(a(i)). -27*i**4 Let n(q) = -16*q + 2. Let f(g) = 4*g**2. Determine f(n(w)). 1024*w**2 - 256*w + 16 Let u(c) = -c. Let x(g) = -10*g**2 + 5*g. Let q(n) = -5*n**2 + 3*n. Let p(y) = 5*q(y) - 3*x(y). Determine p(u(o)). 5*o**2 Let c(u) = 7*u. Let s(v) = -595*v**2 - 2. What is s(c(h))? -29155*h**2 - 2 Let a(v) be the third derivative of 0 - v**2 + 0*v**3 + 0*v - 1/24*v**4. Let w(r) = -4*r**2. Determine w(a(d)). -4*d**2 Let c(o) = o. Let f(d) = 2502*d**2. Give f(c(z)). 2502*z**2 Let d(w) = 3*w + 0*w + 3*w - 4*w. Let i(j) = -44*j. Determine d(i(n)). -88*n Let i(u) be the second derivative of u**4/12 + 6*u. Let o(t) = 9*t**2 + 8*t. Let l(y) = 3*y**2 + 3*y. Let v(p) = -8*l(p) + 3*o(p). Give v(i(s)). 3*s**4 Let b(j) = -24*j**2. Let a(o) = 3*o**2. Calculate b(a(q)). -216*q**4 Let m(y) = 2*y - 6*y + 2*y. Let i(p) be the first derivative of 5*p**2 + 10. Determine m(i(u)). -20*u Let x be (-1 - -4*1) + -1. Let u(v) = -3 + x + v + 1. Let k(z) = -z**2. Calculate k(u(l)). -l**2 Let z(g) = g**2 + 1 - 2*g**2 - 1. Let p(q) = 8*q + 7. Let b(l) = -7*l - 6. Let j(a) = -7*b(a) - 6*p(a). Determine j(z(d)). -d**2 Let k(w) = 4*w**2. Let q(h) = 17*h**2. Let z(n) = 1 - 4*n**2 - 1 + 0*n**2. Let f(p) = -6*q(p) - 26*z(p). Give f(k(s)). 32*s**4 Let o(q) = 2*q**2 + 2. Let w(u) = 3*u**2 + 3. Let b(n) = -5*o(n) + 3*w(n). Let k(t) be the first derivative of b(t). Let l(a) = 3*a. What is k(l(z))? -6*z Let i(x) = -15*x. Let w(s) = -9*s**2. Determine w(i(t)). -2025*t**2 Let x(n) = 5*n**2. Let g(r) be the third derivative of 0*r + 0*r**3 + 0 + 0*r**4 + 1/30*r**5 - r**2. Give x(g(p)). 20*p**4 Let i(z) = -71*z. Let h(f) = 7*f**2. Give i(h(v)). -497*v**2 Let z(v) = 9*v. Let q(n) = 8*n**2. Determine z(q(c)). 72*c**2 Let l(o) = -3*o. Suppose -5*s + 60 = 5*h, 5 = -3*h + 2*s + 21. Suppose h = 5*j - 7. Let d(x) = 3*x + j*x - 5*x. What is d(l(g))? -3*g Let z(g) = 3*g + 2 - 4*g - 2. Let t(d) = 5*d. What is t(z(r))? -5*r Let a(d) = -3*d. Let q(s) = 1284*s. Give a(q(p)). -3852*p Let r(w) = 2 - 2 + 2*w. Let n(g) = -g + 12. Let d be n(12). Let y(l) = l - l + d*l - l. Determine y(r(c)). -2*c Let b(c) = -c + 31. Let f(i) = -17*i. What is f(b(r))? 17*r - 527 Let f(v) = 3*v + 4. Let m(d) = 11*d**2. Give f(m(j)). 33*j**2 + 4 Let c(p) = -6 + 6 - p + 3*p. Let q(u) = u**2. Calculate q(c(b)). 4*b**2 Let j(s) = -57*s. Let h(c) = -7*c + 1. What is h(j(a))? 399*a + 1 Let l(p) be the first derivative of 0*p + 0*p**2 + 1/3*p**3 - 5. Let i(j) = -j. Calculate l(i(k)). k**2 Let v(y) = 726*y. Let d(p) = -p**2. What is v(d(q))? -726*q**2 Let p(f) = -1 + 5*f + 1 - 10*f. Suppose -q - 8 = -3*b + q, -2*b - 4*q = 0. Let s(o) = -4*o**2 + 3*o**b + 3*o**2. Give p(s(z)). -10*z**2 Let i(x) = -831*x**2. Let r(g) = -2*g**2. Determine i(r(f)). -3324*f**4 Let w(l) = l**2 - l + 1. Let r(g) = -7*g**2 + 8*g - 8. Let c(m) = 3*r(m) + 24*w(m). Let q(y) = -6*y. Calculate q(c(p)). -18*p**2 Let r be ((-36)/(-8))/(3/4). Let q(a) = 3 - 3 + r*a - a. Let l(j) = -j**2. What is l(q(b))? -25*b**2 Let p(r) = -2*r - 3 + 3. Let g(z) be the third derivative of -z**3/6 - 2*z**2. Let x(l) = l - 5. Let t(f) = -10*g(f) + 2*x(f). Give p(t(o)). -4*o Let w(i) = i. Let q be 2 - 2 - 0/2. Suppose 0 = -q*f + 3*f - 6. Let r(n) = -1 + 4 - 3*n**f - 3. Calculate r(w(t)). -3*t**2 Let u(q) = -43132*q**2. Let d(i) = -2*i. What is d(u(k))? 86264*k**2 Let t(b) = -725*b**2 + 45*b. Let u(c) = 33*c**2 - 2*c. Let l(a) = 4*t(a) + 90*u(a). Let s(w) = 2*w**2. What is s(l(v))? 9800*v**4 Let g(p) = -p + 4 - 3 - 1. Let y(o) = 5*o. Calculate g(y(u)). -5*u Let k(d) = -d**2. Let v(w) = -3*w**2 + 34*w. What is v(k(g))? -3*g**4 - 34*g**2 Let l(n) = -n. Let s(o) = -o**2 - 1504*o. Give l(s(g)). g**2 + 1504*g Let j(y) = -2*y + 0 + 0. Let q(p) = -7*p**2 - 3*p - 3. Let s(f) = -20*f**2 - 10*f - 10. Let g(i) = -10*q(i) + 3*s(i). Calculate g(j(n)). 40*n**2 Let u(j) = -4*j. Let n(p) = 2*p + 8. Let k(z) = -z - 3. Suppose -3*m + 3 = 0, 3*b - 22 + 9 = -4*m. Let w(a) = b*n(a) + 8*k(a). Give u(w(v)). 8*v Let j = -9 - -12. Let p(g) = -j*g**2 + g**2 + 2*g**2 - g**2. Let l(f) = -f**2. What is p(l(h))? -h**4 Let p(l) = 2*l**2. Let a = 5 - 3. Let t(g) = -3*g**2 - 2 + 2 + 0*g**a. Determine t(p(s)). -12*s**4 Let d(y) = -25*y**2. Let c(n) = -2*n. Calculate d(c(p)). -100*p**2 Let m(f) = -f**2 - f + 1. Let b(u) = 12*u**2 + 14*u - 14. Let x(r) = -3*b(r) - 42*m(r). Let o(z) = -3*z**2. Determine x(o(h)). 54*h**4 Let q(h) = -6*h**2. Let p(m) = -m - 3. Calculate q(p(z)). -6*z**2 - 36*z - 54 Let i(n) = -27*n. Let o(z) be the first derivative of z**2 - 17. Give o(i(h)). -54*h Let l(v) = 4*v. Let f(m) = 2*m**2 + 20*m - 20*m + 2*m**2. Calculate f(l(s)). 64*s**2 Let o(d) = 3*d + 2. Let j(g) = 10*g + 7. Let x(l) = -4*j(l) + 14*o(l). Let f(c) = 0*c**2 + c**2 - 2*c**2 - 6*c**2. Calculate x(f(r)). -14*r**2 Let u(w) be the first derivative of w**3/3 + 7. Let i(q) = -11*q**2. Give i(u(k)). -11*k**4 Let z(q) = -17*q**2 + 1 + 20*q**2 - 1. Let n(o) = 2*o**2 - o + 1. Let y be n(1). Let s(i) = 2*i**y - i + i. What is s(z(v))? 18*v**4 Let a(k) = k**2 - 1. Let d(l) = -1. Let w(n) = a(n) - d(n). Let o(r) = -2*r**2. Determine o(w(z)). -2*z**4 Let m(z) = -2*z**2 + 44. Let p(g) = 6*g + 4. Calculate m(p(i)). -72*i**2 - 96*i + 12 Let l(f) = f. Let d(y) = y**2 - 184. Determine l(d(a)). a**2 - 184 Let p(n) = 1318*n**2. Let o(m) = 10*m. Calculate p(o(t)). 131800*t**2 Let g(i) = -i. Let n(d) = -5*d**2 + 7*d - 7. Suppose 2*h = -0*h + 14. Let z(k) = 3*k**2 - 4*k + 4. Let t(l) = h*z(l) + 4*n(l). Give t(g(c)). c**2 Let t(x) = -4*x**2. Let i(g) = -57*g. Calculate i(t(w)). 228*w**2 Let u(y) = -58*y**2. Let a(s) = 3*s + 1. Calculate u(a(c)). -522*c**2 - 348*c - 58 Let q(y) = -2*y**2. Let w(h) = 0*h**2 + 3*h**2 + 4*h**2 - 6*h**2. What is q(w(g))? -2*g**4 Let c(t) = -t. Let b(s) = -298*s. What is c(b(n))? 298*n Let w(i) = -i + i - 2*i**2. Let z(t) = -t**2 + 5*t - 4. Let k be z(3). Let m(u) = -2*u**k + 4*u**2 - 2 + 2. Calculate w(m(p)). -8*p**4 Let s(x) be the third derivative of -x**4/24 + 4*x**2. Let p(d) be the first derivative of 0*d**2 + 0*d + 2/3*d**3 - 1. Give s(p(u)). -2*u**2 Suppose -3 = v - 13. Let m(j) = -2*j + 3. Let g(l) = -4*l + 5. Let t(u) = v*m(u) - 6*g(u). Let i(p) = -4*p - 2*p + 4*p. Calculate i(t(x)). -8*x Let n(f) = -422*f**2. Let v(s) = -2*s. Calculate v(n(b)). 844*b**2 Let l(h) = 2 + h**2 - 2. Let a(w) be the second derivative of w**4/12 - 5*w. Give l(a(t)). t**4 Let t(g) = g. Let n(p) be the first derivative of 4*p**2 - 3. What is t(n(s))? 8*s Let p(u) = 2*u. Suppose 5*q + 6 = -c - c, 3*c = 5*q + 16. Let x(a) = 19*a**2 - 11*a**2 - 6*a**c. What is x(p(g))? 8*g**2 Let b(x) = 2*x**2 - 22*x. Let w(a) = -3*a + 4. Let c(i) = i - 1. Let u(h) = 4*c(h) + w(h). Determine u(b(d)). 2*d**2 - 22*d Suppose -17*a = -12*a. Let i(j) be the second derivative of 1/3*j**3 + 0 + 2*j + a*j**2. Let y(p) = p**2. Determine i(y(r)). 2*r**2 Let u(y) = 9*y**2 + 4. Let d(r) = 63*r**2 + 27. Let w(c) = -4*d(c) + 27*u(c). Let t(a) = -2*a. Determine t(w(x)). 18*x**2 Let q(r) = 721*r**2. Let i(s) = -s. Calculate i(q(f)). -721*f**2 Let d(i) = -3*i. Let u(c) = 40*c - 23*c - 21*c. Determine d(u(x)). 12*x Let y(u) = -3*u**2 + 53*u. Let a(i) = -i. Calculate a(y(q)). 3*q**2 - 53*q Let r(k) be the third derivative of k**5/60 + 2*k**2. Let n(t) = t**3 - 10*t**2 + 10*t - 6. Let p be n(9). Let x(z) = p*z + 2*z - 2*z. Determine r(x(m)). 9*m**2 Let u(t) be the third derivative of 0*t + t**2 + 0 + 0*t**3 + 1/12*t**4. Let w(j) = 7*j. Let i(r) = -155*r. Let l(a) = 2*i(a) + 45*w(a). What is l(u(s))? 10*s Let d(g) = -2*g**2 + 4559. Let a(x) = 2*x**2. What is a(d(t))? 8*t**4 - 36472*t**2 + 41568962 Let n(v) = 12*v**2. Let w(a) = -a**2. Let l(f) = 2*n(f) + 22*w(f). Let k(p)
{ "pile_set_name": "DM Mathematics" }
563*q - 12 - 3 + 9 as l + n*q and give l. -2 Rearrange -3*f**4 - 4*f**4 + 88*f**2 - 86*f**2 + 5*f**4 + 75 to d*f**2 + u*f**4 + s + h*f**3 + q*f and give u. -2 Express (39 - 19 - 17)*(-2*h - 1 + 1) - 1 - 2*h + 4*h - 1 in the form j*h + m and give j. -4 Express (c + 2 + 4 - 10)*(-c + c + c) - 2*c**2 + 11 + 0*c**2 + 13 as a*c + g*c**2 + o and give o. 24 Express (0*a + a + 2*a)*((0 - 3 + 2)*(0*a - 3*a + 5*a) - 63 + 63 - 11*a) as d*a**2 + k*a + t and give d. -39 Express -2*u**2 - 405*u - 424*u + 637*u + (-3*u + 3*u + u)*(-1 + 1 - u) in the form n + a*u + t*u**2 and give t. -3 Rearrange -13*y - 7*y**3 + 1 - 49*y**3 + 2*y + 5*y + 7*y - 2*y**2 to the form s + r*y**3 + q*y + g*y**2 and give s. 1 Rearrange 612*x**4 - 1 + 2*x**2 - 613*x**4 - 5*x**3 - 8*x**3 + 0*x**2 - x to b*x + l*x**2 + g + a*x**4 + y*x**3 and give b. -1 Rearrange -705*j**2 - 3 - 1 + 13*j + 3 + 704*j**2 to w*j + z*j**2 + f and give w. 13 Express 30*u**4 + 14 - 14 - 2*u**4 - 3*u**4 + 4*u**4 + (-2*u**3 + 0*u**3 + 0*u**3)*(u - 2*u - 2*u) as f*u**3 + p*u**4 + q*u + t*u**2 + a and give p. 35 Express 16 - 16 - 43*u - 244*u - 46*u in the form s + y*u and give y. -333 Express -367*h**3 - 1 + 4 + 4*h**2 + 735*h**3 - 373*h**3 in the form g*h**3 + q*h + x + b*h**2 and give g. -5 Rearrange -1 - 3 - 10 + 17 - 132*y + 1 to a*y + l and give a. -132 Express (40 - 10 - 10)*(-28*t - 3 + 3) as h*t + u and give h. -560 Express 38 + 3*k**2 + 0*k**2 - 11*k**2 + 4*k**2 in the form h*k + c + i*k**2 and give c. 38 Rearrange (d - 6*d + 4*d)*(1 + d - 1) + (3*d + 4 - 4)*(-1 + 1 + d) + 3 + 6*d**2 - 3 to y*d + h + g*d**2 and give h. 0 Express 1855*b**3 + 4*b**2 - b - 1863*b**3 - 1 + 1 in the form t*b + g*b**3 + o + m*b**2 and give m. 4 Express (11 - 7 + 18 + (0 - 1 + 0)*(2 - 2 + 1))*(2*p**4 + 4*p**4 - p**3 - 4*p**4) in the form z*p**2 + f*p**3 + a*p**4 + l + i*p and give a. 42 Rearrange (0 - 3 + 2)*(-4*n + 2*n - 382 + 356) to the form s + q*n and give s. 26 Rearrange -2 - 8*j + 9*j + 3*j**2 + 25 - 8*j**2 + j**2 + 4*j**2 + (j + 1 - 1)*(-5*j + 3*j + 4*j) + j**2 + j**2 + 0*j**2 to q*j**2 + f*j + b and give q. 4 Rearrange -2 - 3366*o**3 + 97*o**2 - 299*o**2 + 3368*o**3 to the form j*o + x*o**3 + y*o**2 + w and give y. -202 Express 378 + 4*l**2 - 3*l**2 - 378 + 51*l in the form a + w*l**2 + m*l and give w. 1 Rearrange (-9 + 4 - 9)*(-9 + 4 - 2)*(0 + 0 - 2)*(-d**2 + 0*d + 0*d) to a + j*d**2 + c*d and give j. 196 Express (-288 + 512*g + 144 + 144)*(1 - 2 - 1)*(0 + 2 - 3) as f*g + y and give f. 1024 Rearrange (u - 2*u**2 - u + (7 + 11 - 11)*(2 - 2 + 2*u**2) - 4*u**2 - u**2 + 3*u**2)*(-14*u - u + u) to the form p*u**2 + w + y*u**3 + x*u and give y. -140 Express -4 - 513*r**2 + 5*r - 5*r - 1 + 6 in the form c + z*r + s*r**2 and give s. -513 Rearrange (f + 4 - 3 - 3)*(2 - 2 - 1)*((-4 + 4 + 1)*(42 - 11 - 15) - 1 - 4 + 3) to b + r*f and give b. 28 Rearrange 594*g**2 - 1303*g + 34*g**2 + 332*g**2 + 1305*g to the form o*g + s + i*g**2 and give o. 2 Express 53*i - 2 + 118*i + 90*i + (-1 + 0 + 0)*(-5*i - i + 3*i) + 2 - 2 + i as x + r*i and give x. -2 Express s + 18*s**2 + 21*s**3 - 60*s**3 - 44*s**2 + 30*s**2 in the form m + b*s + u*s**2 + w*s**3 and give b. 1 Express (2*m**2 + 3*m**2 + 5*m**2)*(58 - 60 + 7*m + 36*m) in the form b*m + d + l*m**2 + r*m**3 and give l. -20 Express -3 + 103*i**3 - 2*i + 24*i**3 - 14*i**3 as x*i + s + w*i**3 + d*i**2 and give s. -3 Rearrange (-2*f - 2*f + 2*f)*(-1855*f + 88*f - 196*f + 2) to n + m*f + r*f**2 and give m. -4 Express -57*c + 10455 - 10455 - 834*c as w + i*c and give i. -891 Rearrange (0*x**3 + x**3 + x**3)*(2 + 12*x + 1 - 1) + (7*x**2 - x**2 - 2*x**2)*(3*x + 12*x**2 - 3*x) to z*x**3 + d*x**2 + h*x**4 + k*x + t and give z. 4 Rearrange (3*r + 0*r - r)*(0 + 0 - 2)*(-1 + 0 - 1)*(49 - 1 - 2) to the form k + n*r and give n. 368 Rearrange (-1 + 1 + 1)*((-4*f**3 + 0*f**3 + 2*f**3)*(f + 2*f + 0*f) - 22*f**2 + 22*f**2 + 20*f**4)*(5 + 0 - 3) to v*f**3 + n + l*f**2 + t*f**4 + k*f and give t. 28 Express -q - 28*q - 19 + 12 + 8 + 4 in the form v + x*q and give x. -29 Express (0 - 1 + 5)*(-8 - 6 + 9)*(0*k + 3*k + 3*k) as u + d*k and give d. -120 Express (2 - 2 + f**3)*(2 + 0 - 1) + f**3 - 735 - 6*f**3 + 765 in the form q + m*f + d*f**3 + i*f**2 and give d. -4 Rearrange 697 + 4*j - 12*j - 701 + (-3 - 4 + 5)*(9 - 2 + 5)*(-2*j + 0*j + j) to r + f*j and give r. -4 Express (3 + 5*w - 3)*(2 + 25 + 74 + 16) as h + o*w and give o. 585 Rearrange 66*x - 1271 + 1271 to the form l*x + c and give l. 66 Rearrange (-36 + 27 + 277 - 2*y)*(0*y**2 - 2*y**2 - y**2) to i + f*y**2 + l*y + x*y**3 and give l. 0 Rearrange (-15*h**2 - 83 + 83)*(-h + 2*h + 2*h) + (2*h - 2*h + h**3)*(1 - 2 - 6) to the form l + f*h**3 + a*h + w*h**2 and give f. -52 Express 1 - 1 + 3*y**4 + (0*y + 3*y - y)*(-y + y - y**3) - 594*y**4 + 1032*y**4 - 570*y**4 in the form m*y**4 + a + v*y**3 + p*y + f*y**2 and give m. -131 Express 50*r**2 - 74*r**2 + 1 + 23*r**2 + 2*r - 2*r**4 in the form z + o*r**2 + u*r**3 + t*r**4 + k*r and give k. 2 Rearrange ((o - 3*o + o)*(2 - 3 + 3) - 2*o + 0*o + 0*o)*(-5*o**3 + 7*o**3 - 19*o**3) to q*o + l*o**4 + h + p*o**2 + g*o**3 and give l. 68 Express -159*d - 224*d + 76*d - 213*d as y + b*d and give b. -520 Express (-6*g - g + 0*g)*(-2 + 2*g**2 + 2)*(-5*g + 4*g + 3*g) in the form j + l*g**4 + r*g + q*g**2 + v*g**3 and give l. -28 Rearrange 6*k**4 + 0 + 0 + (-2 + 7 + 2)*(-3*k**4 + 3*k**4 - k**4) to b*k + o + c*k**3 + w*k**4 + n*k**2 and give n. 0 Express 2 - 8*o + 13*o - 38*o**2 - 4*o - 3*o**4 - 2*o**4 + 7*o**4 in the form i*o**2 + f*o**4 + q*o**3 + b*o + s and give i. -38 Rearrange (3*u**2 - 3*u**2 - 2*u**2)*(3*u - 781 + 4*u**2 + 781) to the form c*u**3 + w*u**2 + z*u**4 + d + f*u and give c. -6 Rearrange 7*r - 4*r + 40*r**3 + 8 + 5*r - 6*r to c + j*r**2 + s*r**3 + m*r and give m. 2 Rearrange (-f + 0*f - 5*f)*(-f**2 + 0*f + 0*f) - 24*f**3 + 8*f**3 - 8*f**3 to the form s*f + n + t*f**3 + j*f**2 and give t. -18 Express (-r - 3*r + 2*r)*(r**2 - 3*r**2 + r**2) + (-2832*r + 1417*r + 1417*r + 536*r**2)*(2*r - 2*r - 4*r) in the form p + l*r**3 + q*r + g*r**2 and give l. -2142 Express -450*u**2 - 89956 + 89956 as p + d*u**2 + j*u and give d. -450 Rearrange (43 - 92 - 21)*(-b**3 + 6*b**3 - 3*b**3 + (-4*b + 4*b - 2*b**3)*(-4 - 1 + 4)) to the form p*b**2 + q*b**3 + l*b + f and give q. -280 Express (2*d + 0*d + 2*d)*(-3*d**3 + 9*d**2 - 9*d**2) + 4*d**4 - 3*d**4 + 10*d**4 as m*d**2 + p*d**3 + z*d**4 + r*d + i and give z. -1 Express 20*u + 26*u - 55*u + 23*u + 4 as p*u + q and give p. 14 Express 1251 - 1251 - 81*n + 104*n**2 - 11*n**3 + 81*n as o + r*n**3 + l*n**2 + z*n and give r. -11 Express 3167*c**2 - 1580*c**2 - 1584*c**2 - 1 - 6*c**3 in the form g*c**3 + s*c + k + y*c**2 and give y. 3 Rearrange (167*s + 4 + 194*s - 4)*(-3*s + 3*s - s**3) to the form d + x*s**2 + a*s**4 + c*s**3 + g*s and give a. -361 Rearrange (2*v**2 + 4*v**2 - 3*v**2)*(13 - 13 - 4*v + v**2)*(-4 + 5 + 7 + (-5 + 0 + 2)*(4 - 5 + 3)) to the form k*v + g*v**4 + d*v**2 + u + x*v**3 and give x. -24 Rearrange (n - 4*n + n)*(5 - 4 - 2) - 2811 + 2811 + 71*n + (-2 - 1 + 1)*(-2*n + 12 - 12) to the form p*n + y and give p. 77 Express -5189 + 5189 - 1022*y**2 + (-1 + y + 1)*(5 - 2*y - 5) as a*y + c*y**2 + z and give c. -1024 Rearrange 6*g**2 - 2*g + 233*g**3 - 3*g**2 + 4*g**4 - 236*g**3 to j*g**3 + s*g**2 + l + z*g**4 + x*g and give x. -2 Express (19*u**2 + 47*u**2 + 103*u**2)*(-2 - 2*u + 2) + 5*u**3 + 6*u**3 - 6*u**3 as d*u + y + r*u**3 + z*u**2 and give r. -333 Rearrange (-1 - 3 + 3)*(-517 - 109 + 22)*(-1 + 1 + h) to the form r*h + b and give r. 604 Rearrange 6*p**2 - 3*p**2 + 4*p**2 + 2*p**2 + p**2 + p**2 + (-2*p + p + 2*p)*(4*p + 7 - 7) - 3*p**2 + 2*p**2 + 0*p**2 to the form a*p**2 + n*p + r and give a. 14 Express -t**4 + 193*t - 102*t + 1 - 98*t + 2*t**2 - 3 as m*t**4 + a*t**3 + v + d*t**2 + o*t and give m. -1 Express 22*t**4 - t**2 - 3 + 0*t**3 + 2*t**3 - 22089*t + 22089*t in the form m*t**4 + y*t**3 + i*t + s*t**2 + g and give m. 22 Express 4*u**4 + 2 - u**4 - 46*u + 44*u**3 + 31*u**3 + 21*u + 23*u in the form q*u + k*u**3 + i*u**2 + o + t*u**4 and give t. 3 Rearrange o - 1 - 56*o**4 - 2*o**2 - 4*o**3 - 50*o**4 + 110*o**4 to the form f*o**4 + q*o**3 + t*o**2 + b*o + r and give r. -1 Rearrange (-4*z**4 - 2*z**4 + 5*z**4)*(-158 - 147 - 282) to the form x*z**2 + a*z**4
{ "pile_set_name": "DM Mathematics" }
rom wlwwlwlplwwppplb. What is prob of sequence pp? 1/20 Three letters picked without replacement from {h: 2, d: 8, x: 7, e: 1, g: 1}. Give prob of sequence xxg. 7/969 Three letters picked without replacement from arrrrrrarrvrraw. What is prob of sequence waa? 1/455 Calculate prob of sequence nn when two letters picked without replacement from {u: 1, n: 3, z: 1}. 3/10 Two letters picked without replacement from hvchvhvvhvvhhvc. Give prob of sequence vh. 1/5 Calculate prob of sequence ai when two letters picked without replacement from {a: 4, i: 3, k: 5}. 1/11 What is prob of sequence iv when two letters picked without replacement from {d: 2, i: 3, u: 1, v: 6}? 3/22 What is prob of sequence kama when four letters picked without replacement from {m: 6, a: 4, k: 1, x: 1, g: 3}? 1/455 Three letters picked without replacement from {b: 3, h: 12, x: 3}. Give prob of sequence xhh. 11/136 Calculate prob of sequence zcz when three letters picked without replacement from {z: 4, c: 14}. 7/204 Calculate prob of sequence xkvx when four letters picked without replacement from kkvkkkkkvkxx. 4/1485 Three letters picked without replacement from {m: 1, h: 1, p: 2, k: 1}. What is prob of sequence pmk? 1/30 What is prob of sequence xp when two letters picked without replacement from wppwptxpxtxxpww? 2/21 What is prob of sequence urmr when four letters picked without replacement from {m: 6, r: 2, h: 2, u: 10}? 1/969 Calculate prob of sequence ya when two letters picked without replacement from ylaya. 1/5 Two letters picked without replacement from gggysgygggyyyggyg. Give prob of sequence gy. 15/68 Calculate prob of sequence my when two letters picked without replacement from remtammmyytmr. 5/78 Three letters picked without replacement from {f: 1, x: 1, u: 2, m: 4}. What is prob of sequence uum? 1/42 Three letters picked without replacement from {o: 2, a: 2, k: 5, t: 4}. What is prob of sequence aoo? 1/429 Three letters picked without replacement from {v: 2, z: 8, b: 1, n: 5, d: 2}. What is prob of sequence nnb? 5/1224 Calculate prob of sequence cchh when four letters picked without replacement from hcchhhhhhhhhh. 1/78 Calculate prob of sequence doo when three letters picked without replacement from {o: 7, d: 12}. 28/323 Calculate prob of sequence ub when two letters picked without replacement from {k: 1, b: 4, u: 3, y: 2}. 2/15 Two letters picked without replacement from ttmttmmtmtmmtmmtmt. Give prob of sequence mt. 9/34 Calculate prob of sequence ibbd when four letters picked without replacement from hibdbgdgdddd. 1/990 Four letters picked without replacement from {v: 11, m: 5}. Give prob of sequence mmmm. 1/364 What is prob of sequence mj when two letters picked without replacement from {m: 1, j: 1, b: 1, t: 1, n: 3}? 1/42 Calculate prob of sequence cvoc when four letters picked without replacement from {c: 7, v: 1, o: 7, g: 2, f: 2}. 49/15504 What is prob of sequence tt when two letters picked without replacement from {t: 2, m: 5}? 1/21 Two letters picked without replacement from {j: 1, n: 1, p: 6, s: 1}. What is prob of sequence pj? 1/12 Three letters picked without replacement from {o: 6, k: 6}. What is prob of sequence oko? 3/22 What is prob of sequence sn when two letters picked without replacement from {y: 1, s: 1, n: 1}? 1/6 Two letters picked without replacement from hhujtai. Give prob of sequence ua. 1/42 Calculate prob of sequence oo when two letters picked without replacement from rogggooooooogogggogo. 11/38 What is prob of sequence xb when two letters picked without replacement from {b: 9, x: 1, i: 10}? 9/380 What is prob of sequence ppip when four letters picked without replacement from {i: 9, p: 5}? 45/2002 Two letters picked without replacement from ccccccvcacc. Give prob of sequence cc. 36/55 Two letters picked without replacement from {u: 4, h: 5, d: 3, b: 1}. What is prob of sequence ud? 1/13 What is prob of sequence ynnn when four letters picked without replacement from onoynnyynyyoynyon? 1/68 Two letters picked without replacement from {q: 1, s: 2, n: 1, r: 2, g: 1}. Give prob of sequence ss. 1/21 Two letters picked without replacement from {g: 1, r: 2, x: 3, t: 4, p: 1}. Give prob of sequence gr. 1/55 Calculate prob of sequence ffw when three letters picked without replacement from nafwwnfitnfnitf. 4/455 Calculate prob of sequence gy when two letters picked without replacement from {g: 2, y: 4}. 4/15 Calculate prob of sequence pxx when three letters picked without replacement from nxpjpx. 1/30 Calculate prob of sequence iei when three letters picked without replacement from {a: 4, l: 6, v: 1, i: 4, u: 2, e: 1}. 1/408 Three letters picked without replacement from czccczoco. Give prob of sequence zoc. 5/126 Four letters picked without replacement from ieipppnpnhnnihpip. What is prob of sequence henp? 1/1190 Calculate prob of sequence fii when three letters picked without replacement from {x: 4, o: 2, f: 10, i: 4}. 1/57 Three letters picked without replacement from {d: 5, a: 11}. What is prob of sequence aad? 55/336 Calculate prob of sequence uq when two letters picked without replacement from {s: 1, u: 2, q: 1}. 1/6 Two letters picked without replacement from {k: 1, q: 1, t: 3}. Give prob of sequence tq. 3/20 Three letters picked without replacement from rbeee. What is prob of sequence brb? 0 Three letters picked without replacement from {q: 13, s: 5}. Give prob of sequence qqq. 143/408 Calculate prob of sequence sxsx when four letters picked without replacement from {s: 3, x: 2}. 1/10 Three letters picked without replacement from {a: 2, d: 2, k: 2, t: 1, g: 2, u: 3}. Give prob of sequence gtg. 1/660 Calculate prob of sequence if when two letters picked without replacement from ffiiifiiii. 7/30 Two letters picked without replacement from vxxvv. What is prob of sequence vv? 3/10 Three letters picked without replacement from ahheehhaam. Give prob of sequence eha. 1/30 Calculate prob of sequence xj when two letters picked without replacement from {y: 1, j: 1, x: 1, n: 1, z: 1}. 1/20 Calculate prob of sequence jpuu when four letters picked without replacement from {p: 9, j: 2, u: 3, g: 3}. 9/4760 Two letters picked without replacement from gggnggggggaaanaagag. Give prob of sequence nn. 1/171 Four letters picked without replacement from ppmpnmvnpnvnp. What is prob of sequence pnmm? 1/429 Two letters picked without replacement from {x: 1, w: 2}. Give prob of sequence ww. 1/3 Calculate prob of sequence lls when three letters picked without replacement from llsxlxsxxsxslxxx. 1/70 Calculate prob of sequence gg when two letters picked without replacement from gggbgbabbbbbbabb. 1/20 Three letters picked without replacement from dddddylyllddddd. Give prob of sequence yly. 1/455 Four letters picked without replacement from {m: 4, j: 9, u: 4}. Give prob of sequence ujuj. 9/595 Two letters picked without replacement from tfl. What is prob of sequence lt? 1/6 Four letters picked without replacement from {d: 1, w: 1, p: 1, u: 1, v: 1}. Give prob of sequence udpw. 1/120 Three letters picked without replacement from {o: 7, c: 5, n: 6, y: 1}. What is prob of sequence cyc? 10/2907 What is prob of sequence bm when two letters picked without replacement from btgtaabm? 1/28 Calculate prob of sequence ss when two letters picked without replacement from slsl. 1/6 What is prob of sequence yrr when three letters picked without replacement from rhllhyhryhhr? 1/110 Two letters picked without replacement from jzlzdlu. Give prob of sequence lz. 2/21 Calculate prob of sequence pjfp when four letters picked without replacement from {v: 3, p: 3, f: 5, j: 6, k: 1, s: 1}. 5/2584 What is prob of sequence hnhk when four letters picked without replacement from hvkvlnvhvlbl? 1/5940 Calculate prob of sequence zlzw when four letters picked without replacement from lzllzzlwulzllll. 3/910 What is prob of sequence byyv when four letters picked without replacement from {g: 3, b: 4, e: 4, y: 6, v: 3}? 1/323 What is prob of sequence qz when two letters picked without replacement from {z: 5, q: 8}? 10/39 What is prob of sequence or when two letters picked without replacement from {r: 1, o: 2, i: 1, k: 2, m: 1, n: 1}? 1/28 Two letters picked without replacement from kkkkkkkookkkkookkk. What
{ "pile_set_name": "DM Mathematics" }
4*m. Solve -s + 3 = -2*i, -5*i - p = s + 12 for s. -5 Suppose 5*b - 20 = -5*k, 3*k = -3*b - b + 16. Solve -2*c + 3 = z - 2, 0 = b*z - 4*c + 4 for z. 1 Let c(k) = k**3 + 2*k**2 - 3*k + 2. Let b be (-9)/(-15) + 54/(-15). Let h be c(b). Solve -2*p - 16 = 4*r + 12, 17 = h*p - 5*r for p. -4 Let p = 187 + -81. Let g be (-18)/(-42) + p/14. Solve 3*c - 12 = -2*i, 2*i + 0*i - g = -2*c for c. 4 Let q(v) = 12*v**2 + 2*v - 2. Let t be q(1). Solve -p - t = -4*k, -k + 6 = 4*k + p for k. 2 Let w(m) be the third derivative of -m**4/4 - m**3/2 + 2*m**2. Let x be w(-7). Let k be (4/6)/(1/x). Solve 20 = 4*p - d, 3*p - 4*d - 2 = k for p. 4 Suppose -11 = -h + 3*h - f, -15 = 3*f. Suppose -9 = -m - 34. Let i = h - m. Solve -l = -k - 0*k + 9, l - 3*k = -i for l. -5 Let w be 0 - 1 - (11 - 14). Solve -2*l + l - y = -6, 5*l = w*y + 23 for l. 5 Let y = 6 - 9. Let o be 1 - (y - 1/(-1)). Suppose 15 = a + 3*c, 4*c = -o*a + 30 - 5. Solve -3*w = -a, -4*w + w + 5 = 2*l for l. 1 Let z be (-4)/(-2) + 15/3. Suppose -2*p = -4*n + 18, -4*n + p + 22 - z = 0. Solve g + 5*q - 17 = -n*g, -6 = -g - 3*q for g. 3 Suppose 20 = 5*q - 0*q. Suppose -3*n + 10 + 2 = 0. Suppose 0 = 3*h + 2*x - 0 - 7, 3*h - n*x - 31 = 0. Solve q*m = -h*v + 6, 12 = 5*m + 3*v + v for m. 4 Let d = -4 + 8. Suppose 6 + 6 = 2*t. Let x be 8/t + d/6. Solve -4*a = -16, 5*s + x*a = 4*a - 28 for s. -4 Let g = 13 - 11. Suppose -g*b + 14 = -b + 4*a, 0 = 2*b + 4*a - 44. Solve -11 = -5*t - 3*f - 35, 0 = 5*t + 5*f + b for t. -3 Let u = 30 + -58. Let s be (-6)/9 - u/6. Solve 14 = -2*l + 4*k, 4*k - s = -0*k for l. -5 Let g(s) = -3*s - 1. Let x be g(-2). Let o(f) = -f**2 + 5*f + 2. Let c be o(x). Solve 20 = 4*w + 4, 0 = 5*n - c*w - 12 for n. 4 Suppose 4*w = 20, -w = -0*r + 2*r - 37. Suppose -17 = -4*h - 2*m - 3*m, 3*h - m = 8. Solve 0 = -2*n + 3*f - r, -h*n - 4*f = f + 5 for n. -5 Let w be 0/(-11) + 6/(-4)*-2. Solve -w*i + 4*i - 12 = 5*y, -2*y - 18 = 4*i for i. -3 Let f be 0/((-4)/(-26) + (-150)/130). Solve 4*y + f*n + 22 = 2*n, 25 = 5*n for y. -3 Let t(l) be the first derivative of -4*l - 2 + 2*l**2 + 2/3*l**3. Let j be t(-4). Solve -3*w - j = -0*w, -2*u = -2*w - 6 for u. -1 Let o = 2 - 2. Suppose -3*h - 2*j + 3 = -3, o = -2*j - 6. Solve -2*l + 2*t = 2, -h*l = -0*l + t + 24 for l. -5 Let d be (-21)/(-14)*(-4)/(-3). Suppose -1 = -l + d. Solve -3*q = p - 0 + 2, -26 = -5*p + l*q for p. 4 Let c(w) = w**2 - 6 + w**3 - 2 - 8*w + 4*w**2 + 0*w. Let q be c(-6). Solve -16 = -2*u - 4*s, 0*u + q*u + 4 = 4*s for u. 2 Suppose -48 = -4*a - 2*p, 39 = 3*a + 5*p - 2*p. Suppose 3*o = 2*b + 22, 3 + a = o + b. Let n = o - 6. Solve 3*y + n = -4*i, y + i = -i for y. -4 Let m(v) = -v**3 + 7*v**2 + 10*v - 14. Let a be m(8). Let h be 8/5 + (-4)/(-10). Solve 3*z = -a*g - 2 + 3, 4*z - h = -3*g for z. -1 Let j(p) = p**2 - 8*p + 2. Let a be j(8). Suppose -a*t = -t - 5. Solve -2*l = -t*h - 3, 5*l = -2*h - 8 + 1 for h. -1 Let d = 7 + -7. Suppose d = -r - r. Solve -2*q + 2*v + 12 = 4*v, -4*q + 4*v - 16 = r for q. 1 Suppose -2*t - 27 = -33. Solve t*d = w - 4, 2*d - w + 6*w - 3 = 0 for d. -1 Let n(o) = o**3 - 13*o**2 + 13*o - 7. Suppose 60 = -0*t + 5*t. Let f be n(t). Solve 3*d - 2*d = 5, -f = -5*x - 4*d for x. -3 Suppose 0 = r - 3*r + 4. Suppose l - 3*l + 10 = 0. Suppose -q + 6*q - 15 = 0, -27 = -2*w + q. Solve l*m + w = -2*a, 4*a - m - r*m = 9 for a. 0 Let b(a) = -6*a - 2. Let p(k) = -2*k**2 + k + 1. Let i be p(-1). Let u be b(i). Solve 2*f + u = -5*x, -x - 2 = -0*x for f. 0 Let y be ((-2)/6)/((-7)/84). Suppose 2*w - 12 = -y*j, -4*j = w - 2 - 8. Solve 5*h = -2*b + 6, -3*b + 3 = -j*b - h for b. 3 Let w be (2 + 1)/(3/2). Let q be 4 + 1*-2 + w. Solve -4*g - 7*k + 6 = -q*k, -2*g + 2 = k for g. 0 Let k(h) be the third derivative of -h**4/24 - 4*h**3/3 + 2*h**2. Let o be k(-10). Solve -l = -o, -4*i - 23 = -2*l - 7 for i. -3 Suppose 18*w - 16*w = 0. Solve w*q + 12 = 4*q, 0 = -3*x + 5*q - 9 for x. 2 Suppose -g + 5 = 4. Solve -2*c + 6 = 5*m - 6, g = -3*c + 2*m for c. 1 Let j(q) = q**3 + 6*q**2 - 8*q - 5. Let f be j(-5). Suppose -2*o + 6*o = f. Let y be (3 - 6) + o - 3. Solve 0*a + 3*z - y = -a, -15 = a - 3*z for a. -3 Let p = 23 + -16. Let h be (-1 + p)*2/6. Solve -6*c + n + 20 = -c, 5*c - h*n = 20 for c. 4 Let l(n) = n**3 + 14*n**2 + 25*n + 15. Let f be l(-12). Solve f*k - 5*t = 2 - 10, t - 12 = -2*k for k. 4 Let b(t) = -t**2 + 8*t - 3. Let q be b(8). Let s = 1 - q. Solve 0*x - 3*x - s*w = 3, 4*x + 3*w + 4 = 0 for x. -1 Suppose 2*l + g = -6, 0 = 3*l + g + 2*g + 12. Let q be l/(-6) + (-55)/(-15). Solve 0 = -q*u - 3*t + 16, 0 = 2*u - 0*t - 5*t + 18 for u. 1 Suppose 4*o + 1 - 9 = 0. Solve 3*z + 6 = -5*j - 0, 3 = o*z + j for z. 3 Let x be (2 - 2)*3/(-3). Suppose x*q - 12 = -4*q. Suppose q*s = 3*t - 7 + 1, -t = -5*s - 2. Solve -3*r - 10 = -r - 3*u, t*u - 8 = 0 for r. 1 Let d(p) = -p - 5. Let t(a) = -5. Let s(l) = 4*d(l) - 3*t(l). Let c be s(-2). Solve 5*h = c*r + 8, -2*h + 5 = -0*r - 3*r for r. -1 Suppose 0*u = u. Let x(w) be the first derivative of -w**3/3 + 33*w + 7. Let a be x(u). Solve g + 3*j = -13, 0*g + 5*j + a = 4*g for g. 2 Let u(y) = -2*y - 11. Let p be u(-8). Solve -5*m - 2*l = 26, 0*l - 15 = p*l for m. -4 Suppose -5*m + 5*g = -2 - 3, 0 = 5*m - 3*g - 11. Suppose c - 3*k - 34 = 0, k - m + 32 = c. Solve 20 = -4*d - 2*w, -d + 2*w - c = 4*d for d. -5 Let z be ((-6)/7)/(1/(-14)). Let f be 4/(-6)*-3 + 0. Suppose -f*t + 4 = 5*v, 0*v + 4 = v + 2*t. Solve l + 5*n = -l - z, 4*l - n - 20 = v for l. 4 Suppose -11 + 1 = -x. Let t = 20 + -11. Suppose -2*v + t - 3 = 0. Solve 5*k - x = 2*r + v*r, -5*k = -r - 2 for r. -2 Suppose -c + 30 = 14. Let f = 6 - 3. Suppose 3*z = f*p + 5 + c, 4*z - p - 22 = 0. Solve -u + 0*u + 20 = -4*i, 4*u = z*i + 36 for i. -4 Let q be (0 - -4) + (0 - 0). Let b(r) = r**3 + 12*r**2 + 11*r - 2. Let c be b(-11). Let n = q + c. Solve -2*d + 2*y - 2 = n*d, 1 = y for d. 0 Suppose 3*i = c - 6*c - 25, -2*i - 2*c - 10 = 0. Solve -u - 19 = -5*h, 4*u = -i*h - 5*h + 24 for u. 1 Let p(r) = -r**3 + 2*r**2 + 3*r - 4. Let z be p(2). Solve -4*k = t + t + 14, z*k = 4*t + 18 for k. -1 Suppose -5*v + 7 = t, -2*t = 3*t + v - 11. Suppose -m + 3 = -3*r - 4, -3*m + r + 13 = 0. Solve -6 = 3*i - 2*o, m*i - o = -15 + t for i. -4 Let m = 44 + -38. Solve -3*c - 4 = -k, k = -4*c + 2*k - m for c. -2 Let m = -9 + -1. Let v = 14 + m. Solve -d = v*c + 12, c + 0*c = -d for c. -4 Suppose 0 = b - 7*b + 102. Let a = 16 - 13. Solve a*x = -5*m - b, -6 = 5*x + m + 15 for x. -4 Let h be -4 + (1 - -3) + 1 + 19. Solve -5*x + c - 1 = -20, 4*c - h = -4*x for x. 4 Suppose -5*j = 30 - 0. Let f = j - -12. Suppose 5*z - 25 = -5*y, 0 = -3*z - 6*y + 4*y + 13. Solve t - f*t - z*b + 16 = 0, 2*b = -5*t + 19 for t. 5 Suppose -a - 3 = 5*x, -69 = -4*a - 5*x - 6. Let c be 40/(-22) - 4/a. Let d be c/1 + (5 - 1). Solve n + 1 = -s + 2, -2 = d*n for s. 2 Let j = 93 + -90. Solve -h - 2*c = 8, 4*h - j*c = -0*c + 1 for h. -2 Suppose -5*t + 4*f = -7, -3*f - 8 = -4*t - f. Solve 5*a + 29 - 10 = 2*v, t*a = -2*v - 21 for v. -3 Let v(q) = 5*q**2 + 4*q. Let k be v(-3). Let w = k + -20. Solve -w = l + 3*p, -5*l - 26 = 3*p - p for l. -4 Suppose -4*d - 4 = -2*x - 0, -1 = -x + d. Suppose -b + 3 + 2 = x. Solve -3*u = -6*a + a + b, -u + 25 = 5*a for u. 5 Let n(t) = -17*t**3 + 2*t**2 - 1. Let s be n(-1). Let b = s + -5. Solve 3*k + b + 2 = 3*m, 20 = -4*k - 3*m for k. -5 Let s be 0 + 1 + 4/2. Suppose -17 = -4*b + 27. Suppose -44*v + 15 = -39*v. Solve 0 = v*j - 0*g + 4*g + b, -s*g = 6 for j. -1 Let u be 12/18*-6*2. Let o(z) = -z**3 - 7*z**2 + 8*z + 3. Let w be o(u). Solve 3*l - w*x = 6, 3*l - 4*l - x + 4 = 0 for l. 3 Suppose 41 - 49 = -2*a. Solve -f - i - a*i = -12, 2*f - 5*i = -6 for f. 2 Suppose 0*o + 5*o + 3*g = 12, 4*o + 2*g = 10. Solve 3*m = -5*k, o*k - 6*k - 5*m = 0 for k. 0 Suppose 4*s - 7 - 1 = 0. Suppose j + 3*w + s = 10, 0 = j + 2*w - 6. Solve 4*d + j*t + t - 5 = 0, 3*t + 11 = 4*d for d. 2 Suppose 0 = -r - 0 - 1. Let n = r - -6. Solve -3*t + 5*l - 9 = -6*t, 0 = -t - n*l + 13 for t. -2 Suppose -3*c + 4 + 5 = 0. Let v be (0 - -7)*c/3. Suppose 3*f = p + v, 0*p + 3*f = -2*p + 22. Solve -2*i + p*b = 2*i - 15, 0 = -i + 4*b + 1 for i. 5 Suppose 0 = 4*q - 2*q. Suppose c - 12 = -c - 2*l, q = -5*c + 4*l + 21. Solve -3*n - 5*p - 11 = 0, c*n + p - 9 = 2 for n. 3 Let s = 1 - -1. Suppose -11 = -3*k - s. Let g be 1*k*(-35)/(-21). Solv
{ "pile_set_name": "DM Mathematics" }
3 Calculate the remainder when 40116 is divided by 3828. 1836 What is the remainder when 120602 is divided by 1604? 302 Calculate the remainder when 1643335 is divided by 19799. 18 What is the remainder when 597958 is divided by 214? 42 What is the remainder when 390373 is divided by 6296? 21 Calculate the remainder when 92851 is divided by 23195. 71 What is the remainder when 108414 is divided by 7222? 84 Calculate the remainder when 583371 is divided by 107. 7 What is the remainder when 923223 is divided by 460925? 1373 Calculate the remainder when 67218 is divided by 22394. 36 Calculate the remainder when 50067788 is divided by 16689241. 65 Calculate the remainder when 229537 is divided by 45886. 107 What is the remainder when 2738393 is divided by 370? 23 Calculate the remainder when 14971117 is divided by 65. 57 What is the remainder when 9607017 is divided by 21984? 9 What is the remainder when 6582471 is divided by 1316492? 11 Calculate the remainder when 899814 is divided by 1785. 174 Calculate the remainder when 1839649 is divided by 48. 1 What is the remainder when 37011 is divided by 944? 195 What is the remainder when 174769 is divided by 13420? 309 Calculate the remainder when 18770280 is divided by 9385118. 44 Calculate the remainder when 18206089 is divided by 1509. 4 Calculate the remainder when 3161736 is divided by 4422. 6 Calculate the remainder when 2297561979 is divided by 14729. 14727 What is the remainder when 124646042 is divided by 16192? 26 What is the remainder when 14662 is divided by 1666? 1334 Calculate the remainder when 11151382 is divided by 458. 456 Calculate the remainder when 209504 is divided by 6621. 4253 What is the remainder when 665620 is divided by 1616? 1444 Calculate the remainder when 86401934 is divided by 966. 962 What is the remainder when 8122862 is divided by 253839? 14 What is the remainder when 159416492 is divided by 10627766? 2 Calculate the remainder when 1445466 is divided by 3844. 122 Calculate the remainder when 92695 is divided by 92653. 42 What is the remainder when 225888342 is divided by 27? 24 What is the remainder when 5564290 is divided by 39463? 7 What is the remainder when 28668 is divided by 2795? 718 Calculate the remainder when 318064 is divided by 105946. 226 Calculate the remainder when 723 is divided by 222. 57 What is the remainder when 61190843 is divided by 207? 194 Calculate the remainder when 6681096 is divided by 27. 0 Calculate the remainder when 1072832465 is divided by 318. 317 Calculate the remainder when 365062 is divided by 365051. 11 What is the remainder when 3571277 is divided by 1420? 1397 Calculate the remainder when 373010 is divided by 15539. 74 What is the remainder when 855050 is divided by 4013? 281 Calculate the remainder when 805172 is divided by 2524. 16 Calculate the remainder when 545670 is divided by 64. 6 What is the remainder when 2351999 is divided by 15576? 23 What is the remainder when 101608 is divided by 5976? 16 Calculate the remainder when 11430758 is divided by 229. 223 What is the remainder when 1785381 is divided by 286? 169 Calculate the remainder when 16008352 is divided by 100052. 32 What is the remainder when 46982013 is divided by 15660663? 24 What is the remainder when 2641855 is divided by 440298? 67 What is the remainder when 297597 is divided by 2860? 157 Calculate the remainder when 3304138 is divided by 3957. 43 What is the remainder when 134737 is divided by 25734? 6067 Calculate the remainder when 771990 is divided by 128637. 168 Calculate the remainder when 14273233 is divided by 6479. 6475 What is the remainder when 13778315 is divided by 3444576? 11 What is the remainder when 248037 is divided by 489? 114 What is the remainder when 1435606 is divided by 1435564? 42 Calculate the remainder when 1242077 is divided by 217. 186 Calculate the remainder when 9102729 is divided by 14. 13 Calculate the remainder when 12032 is divided by 731. 336 Calculate the remainder when 1165558 is divided by 531. 13 What is the remainder when 99234139 is divided by 277? 274 What is the remainder when 484182 is divided by 241707? 768 What is the remainder when 22181 is divided by 3007? 1132 Calculate the remainder when 4103950 is divided by 366. 358 What is the remainder when 22740806 is divided by 409? 406 Calculate the remainder when 183082 is divided by 141. 64 What is the remainder when 1294247922 is divided by 8025? 8022 What is the remainder when 3828224 is divided by 1663? 1661 What is the remainder when 117681 is divided by 11758? 101 Calculate the remainder when 1146878 is divided by 16. 14 What is the remainder when 233924 is divided by 58430? 204 Calculate the remainder when 163192 is divided by 16315. 42 Calculate the remainder when 40135123 is divided by 54. 1 What is the remainder when 10232656 is divided by 698? 674 Calculate the remainder when 568207 is divided by 399. 31 What is the remainder when 4576032 is divided by 55? 32 What is the remainder when 19824178 is divided by 576? 562 Calculate the remainder when 1625862 is divided by 36. 30 What is the remainder when 810345709 is divided by 597? 595 What is the remainder when 150611 is divided by 644? 559 Calculate the remainder when 4958075 is divided by 619759. 3 What is the remainder when 50972 is divided by 35? 12 Calculate the remainder when 75551 is divided by 589. 159 Calculate the remainder when 36693038 is divided by 10. 8 What is the remainder when 2291298 is divided by 81832? 2 Calculate the remainder when 1696807 is divided by 96. 7 What is the remainder when 792517 is divided by 944? 501 Calculate the remainder when 6709665 is divided by 9. 3 Calculate the remainder when 778100 is divided by 2007. 1391 What is the remainder when 2335550 is divided by 38? 32 What is the remainder when 523178 is divided by 47559? 29 What is the remainder when 196555 is divided by 2068? 95 What is the remainder when 6016049 is divided by 21? 11 Calculate the remainder when 201301797 is divided by 501. 498 Calculate the remainder when 24312344 is divided by 2226. 2198 Calculate the remainder when 609240 is divided by 916. 100 What is the remainder when 2619206 is divided by 654718? 334 Calculate the remainder when 48730819 is divided by 48730819. 0 Calculate the remainder when 302830475 is divided by 116027. 5 What is the remainder when 11673109 is divided by 18858? 7 Calculate the remainder when 72003 is divided by 7187. 133 What is the remainder when 4581617 is divided by 38180? 17 Calculate the remainder when 46945878 is divided by 5380. 5378 Calculate the remainder when 8899018 is divided by 5643. 7 Calculate the remainder when 128188 is divided by 89. 28 Calculate the remainder when 19240012 is divided by 202. 118 What is the remainder when 1390854 is divided by 115? 44 What is the remainder when 422506 is divided by 422487? 19 What is the remainder when 65250 is divided by 4075? 50 What is the remainder when 171708 is divided by 253? 174 What is the remainder when 7238838 is divided by 94? 86 What is the remainder when 1609143 is divided by 29253? 228 What is the remainder when 12055239 is divided by 5445? 9 What is the remainder when 5846653 is divided by 68784? 13 What is the remainder when 114235 is divided by 38047? 94 Calculate the remainder when 18977031 is divided by 9488512. 7 What is the remainder when 56985851 is divided by 3352105? 66 Calculate the remainder when 2256711 is divided by 532. 499 Calculate the remainder when 95370 is divided by 83277. 12093 What is the remainder when 157103 is divided by 1940? 1903 What is the remainder when 5409786 is divided by 6247? 6131 Calculate the remainder when 601395 is divided by 2305. 2095 What is the remainder when 144611 is divided by 47801? 1208 What is the remainder when 745528 is divided by 9437? 5 What is the remainder when 1825839 is divided by 10933? 28 Calculate the remainder when 108045029 is divided by 915. 914 Calculate the remainder when 24271 is divided by 11558. 1155 Calculate the remainder when 21538596 is divided by 384. 36 What is the remainder when 2514396 is divided by 166? 160 Calculate the remainder when 8778619 is divided by 1698. 1657 Calculate the remainder when 9508893 is divided by 1096. 10
{ "pile_set_name": "DM Mathematics" }
+ 8*v + v**3 to the form a*v + y + d*v**3 + h*v**2 and give a. -2 Express (174 - 174 + 8*o**2 + (-7 + 3 + 3)*(0*o + o**2 + 0*o))*(2*o - 4*o + 0*o) as q + i*o**2 + h*o + g*o**3 and give g. -14 Rearrange -79*z - z**3 - 2*z**4 + 0*z**4 + 2*z**2 - 3*z**2 + 76*z to the form p*z**3 + l + o*z**2 + s*z + y*z**4 and give p. -1 Rearrange -2*d + 2*d + 3*d**3 + (-3*d - 6*d + 0*d)*(d**2 + 3*d**2 - 6*d**2) to the form r*d**2 + t*d + u + f*d**3 and give f. 21 Express -6 + 0 + 21*r + 6 in the form j*r + v and give j. 21 Rearrange (8*l + l**3 + l**3 + 5*l)*(0*l + 3*l + 0*l) to the form k*l**3 + o*l**4 + s + t*l + f*l**2 and give o. 6 Rearrange n**2 + 0*n**2 + 0*n**2 + (3*n - 3*n + 2*n)*(10 - 2*n + 6 - 20) to c + g*n + d*n**2 and give g. -8 Express a + 0*a - 2*a + 1 + 2*a**2 + (-2 + 4*a + 2)*(-2*a + 3*a + a) in the form d*a + h + x*a**2 and give x. 10 Rearrange 0*z**2 + z**2 - z**3 + z**4 + 18 - 20 - 3*z**2 to the form d*z**2 + n*z + f*z**3 + q*z**4 + m and give q. 1 Rearrange (5*m - m + 7*m)*(-3 + 4 - 2) + 0*m + 5*m - 3*m to r + s*m and give s. -9 Express 2*w**4 - 2 + 3*w**4 + 4*w**4 + 2*w + 2*w**3 + 2*w**2 - 10*w**4 in the form i*w + a*w**4 + x + q*w**3 + z*w**2 and give i. 2 Rearrange (0 - 3*j + 0)*(5*j - 4 + 13 - 8) to the form m*j**2 + g + k*j and give k. -3 Express -y - 2 + 2*y**3 + 6 - 7 + 0*y**3 as z + g*y**2 + d*y + s*y**3 and give s. 2 Rearrange (2*o**2 + 4*o**2 - 3*o**2)*(-4 + 0 - 1)*(2*o - 16 + 16) to the form p*o**3 + l*o**2 + h + q*o and give p. -30 Express 4 + 2 - 6 - 14*z as d*z + h and give d. -14 Express -k**4 - k**4 - k**4 + (k**2 - k**2 - 3*k**2)*(k - k + 2*k**2) + 3*k**3 - 6 + 120*k - k**4 - 120*k as v*k**2 + y*k + a*k**4 + z + p*k**3 and give a. -10 Express -539 + 539 + 6*w - 3*w**2 - 2*w**3 as o + l*w**3 + k*w**2 + x*w and give k. -3 Rearrange (6*s**2 + s**2 - 3*s**2)*(-3*s + s - s) + 2*s - 2*s + 2*s**3 + (-1 - s**2 + 1)*(-5*s + 3*s - s) to i*s + c*s**2 + b + f*s**3 and give f. -7 Express 0 + f**2 - 2*f**2 - 3*f**3 - 2 + f - 5*f**2 in the form b*f**2 + g*f + k*f**3 + c and give b. -6 Rearrange (8*l**2 + 17 + 16 - 31)*(2*l**2 - 2*l + 2*l) to v*l**2 + f*l**4 + u + o*l**3 + m*l and give v. 4 Rearrange (-o + 2 - 2)*(54*o + 181*o - 2 + 21*o) to n + q*o**2 + g*o and give q. -256 Express c + 8*c - 4*c + 6*c as s + h*c and give h. 11 Express 35*v**4 - 36*v**4 + v**2 + 4*v**3 - v**3 + 1 in the form l + k*v**4 + q*v**2 + b*v + p*v**3 and give q. 1 Express -1 - 14*z**2 + 6*z**2 - 3*z**2 in the form b*z**2 + f*z + r and give b. -11 Express 0 - a**2 - 2 - 3*a**2 - 2*a as j*a + h*a**2 + b and give h. -4 Rearrange -5*n + 30*n + 24*n to j + u*n and give u. 49 Express -11 - 6*k + 18 + 2*k + k in the form o + a*k and give o. 7 Rearrange 10*f**2 - 25 - 27 + f + 52 to the form s*f**2 + y*f + n and give y. 1 Express (-5 - 6*x**2 + x + 5)*(9 - 20 + 3) as i*x + m + u*x**2 and give i. -8 Express -4 - 94*w + 4 + 123*w in the form i + k*w and give k. 29 Rearrange (y + y - 3*y)*(y + 3 - 3) - 1 + 1 + 4*y**2 to the form o + a*y**2 + r*y and give a. 3 Express (-k**2 + 2*k**3 + k**2)*(-5 - 2 + 5) + 2*k**2 + 8*k**3 - 2*k**2 in the form p*k**2 + g*k**3 + b + n*k and give g. 4 Express (3 - 2 - 4)*(1 - 1 + 2*l - 7*l - 4 + 4 - 2 + 2*l + 2 + (0 - 2 + 1)*(-4*l - 3*l + 5*l)) in the form z*l + u and give z. 3 Express (y**3 - 6*y**3 + 10*y**3)*(-5 - 2 + 3)*(-3*y + y + y) as x*y**3 + f + t*y**2 + k*y**4 + g*y and give k. 20 Express -21*s**2 - 78*s**2 - 43*s**2 as n + g*s + m*s**2 and give m. -142 Rearrange 20 + 6*j - 9 - 11 - 4*j**2 to k*j + t + i*j**2 and give k. 6 Rearrange 10*d**3 + 9*d**3 - 14*d**3 + 3*d - 2*d**2 + 0*d**2 to the form c*d**3 + u*d + j*d**2 + p and give j. -2 Rearrange 247 + 66*d**2 - 247 to the form c*d + v + t*d**2 and give t. 66 Rearrange 0 + 5*l - l**3 - 6*l - l**4 + 2 to u*l + c + t*l**2 + o*l**3 + j*l**4 and give c. 2 Express -50*k**3 - 3 + k**4 - 56*k**3 - 55*k**3 + 159*k**3 - 2*k**2 as y + o*k + g*k**3 + l*k**4 + i*k**2 and give l. 1 Rearrange (-1 + k**3 + k - 5*k**2 - 5*k**2 + 12*k**2)*(2 + 1 - 5) to the form u + m*k + j*k**2 + i*k**3 and give m. -2 Rearrange (1972 - 1967 - 11*t + 6*t)*(3 + 1 - 3) to the form x + p*t and give p. -5 Rearrange (-3*j - 3*j + 4*j)*(-4*j + 5*j**2 - 8*j + 2*j) to the form i + u*j**3 + s*j + f*j**2 and give f. 20 Express (3*c**2 + 2*c**2 - 4*c**2 + c)*(-6 - 5 + 2) in the form u*c**2 + b + w*c and give u. -9 Express -49*i + 457 - 457 as k*i + m and give k. -49 Rearrange -7*a - 6*a + 3*a + 2*a to the form i*a + r and give i. -8 Rearrange -743*s + 32*s**3 + 744*s + 8*s**3 - s**2 - s**3 to the form w*s**3 + a*s**2 + j + p*s and give w. 39 Express 220*r**3 + 19 - 111*r**3 - 106*r**3 as f*r**2 + w + l*r + y*r**3 and give l. 0 Rearrange (0*s**2 - 5*s**2 + s**2)*(-4 + 0 - 4)*(2*s + 2 - 2) to the form k*s**2 + b*s**3 + q*s + h and give b. 64 Express 3 - 5*p**2 - 7 - 3*p**2 + 5*p**2 as h*p**2 + k + o*p and give k. -4 Rearrange -41*f + 8*f - 48 + 48 to the form w*f + p and give w. -33 Express (2*b + 4*b - 4*b + b**2)*(5*b - b - 3*b) as f*b + m*b**3 + k + r*b**2 and give r. 2 Express -35*v**2 - v + 3*v**4 - 2*v**4 + 35*v**2 - 26 in the form i*v**2 + f*v**3 + l + w*v**4 + a*v and give l. -26 Rearrange 8 - 8 - 15*s**4 + (-1 + 1 - s**3)*(4*s - s + 0*s) + 0*s + 4*s**4 + 2*s - 3*s to the form b + j*s**4 + g*s + m*s**3 + n*s**2 and give j. -14 Rearrange (-2*u - 3*u**2 + 2*u)*(3*u + 2*u - 7*u)*(-2*u - u - 2*u) to g*u**4 + n*u + y + r*u**3 + d*u**2 and give r. 0 Express -z**2 + 4*z - z**2 - z - 1 - z as x + q*z**2 + p*z and give p. 2 Rearrange (-5*k**2 + 3*k**2 + k**2 + (k + 4 - 4)*(-3*k + 5*k + 0*k))*(0*k**2 - k**2 + 5*k**2) to the form f*k**2 + i*k**3 + n*k**4 + g + a*k and give n. 4 Rearrange 2 + 4 - 5*k + 4 - 16 to q*k + x and give q. -5 Rearrange (18 - 39 + 10)*(-2 + 2 + 2*c) to g*c + w and give g. -22 Rearrange -7*y - 3*y + 32*y**3 + 9*y + (y**2 - 3*y**2 + 0*y**2)*(3 - y - 3) to n*y**2 + x*y + q*y**3 + f and give q. 34 Express (-1 - 5 + 8 + (-2 - 4 + 7)*(2 - 5 + 5) - 2 + 2 - 2)*(-4 + 3 + 3*r - r**2 + 4) in the form q + o*r + p*r**2 and give p. -2 Express 106 - 46 - 48 + 2*t in the form l + u*t and give l. 12 Rearrange (-2*a - 4*a + 5*a + (4 - 4 + 3*a)*(0 + 0 + 5)*(-3 - 3 + 4))*(a**2 - a + a) to h*a + y + n*a**2 + w*a**3 and give w. -31 Express w**4 + w**2 - 3 + 3*w**3 - 1 + 3 in the form r*w + l + x*w**4 + n*w**2 + y*w**3 and give l. -1 Rearrange (4 - 5 - 1)*(-2*a - 2*a + 2*a) + 45*a - 15*a - 133*a to s + b*a and give b. -99 Express 4*v**4 + v**4 - 2*v**4 - 2*v**3 - 2*v**4 + 2*v**3 + (-2*v**3 + v - v)*(-4*v + 4*v + 2*v) as t*v**2 + n*v**4 + o + x*v**3 + r*v and give o. 0 Express (14*d**3 - 4*d**3 - 4*d - 8*d**3 + 2)*(0*d + 2*d + 3*d) in the form t*d**4 + v*d + l + x*d**2 + s*d**3 and give t. 10 Express 3*a**4 - a**4 + a**3 + 50*a - 48*a + 3 as c*a**4 + f*a**3 + o*a**2 + j*a + i and give j. 2 Rearrange -5*g - 7*g + 0*g + (-2 + 2 + g)*(0 + 0 + 1) to m*g + q and give m. -11 Express 19 - b**2 - 14 + 2*b**3 - b - 2*b**2 as q*b**2 + d*b**3 + l + p*b and give d. 2 Rearrange -14*m**2 - 32*m**2 + 8 + 5 - 12 to o + i*m**2 + l*m and give o. 1 Rearrange (-u**3 + 2*u - 2*u)*(u + u + 0*u) - 4*u**4 + 3*u**4 + 2*u**4 - u**4 + 0*u**4 + 6*u**4 to the form i*u**4 + o*u + l*u**3 + p + y*u**2 and give i. 4 Rearrange (3*s - 3*s + s)*(-1 + 0 + 2) + s - 2 + 2 + (-s - 2*s + 8*s)*(-3 + 0 + 1) to o + a*s and give a. -8 Rearrange (-4 + 3 - 2)*(19*y - 19*y + 34*y**2) + (4 - 3 - 3)*(-y**2 + 0*y**2 - y**2) to the form f*y**2 + z + n*y and give f. -98 Rearrange (1 - 4 - 6)*(6 - 10*f**2 - 6) to c*f**2 + u*f + s and give c. 90 Express 2*s**2 + 3*s**2 + 16 - s**2 + s**2 in the form w*s + p + q*s**2 and give p. 16 Rearrange -2*g**3 + 6*g**3 + 0*g**3 + (-4*g + 2*g + 0*g)*(0*g**2 + 2*g**2 - 3*g**2) + 5 - 4 + 0 - 2*g**3 to the form m*g**2 + c*g**3 + o*g + l and give l. 1 Express -12*t - 18*t + 3*t as b*t + p and give b. -27 Express (3*m - 2*m + 3*m)*(5 - 1 - 2)*(4*m - m - 2*m) + 16*m - 16*m + m**2 in the form d*m + x*m**2 + b and give x. 9 Rearrange 7*f + 4*f - 4*f - 4*f + f - 3*f + (-2 - 3 + 3)*(3*f + f - 5*f) - 4*f + 2*f + 3*f to o + c*f and give c. 4 Express (3 - 4 + 3)*((-4 - 3 + 6)*(-6 + 6 - 8*f) + (-4*f + 3*f + 3*f)*(3 + 1 + 1)) as z + u*f and give u. 36 Express 2*r + r + 7*r + 3*r in the form z*r + h and give z. 13 Express 5*m**2 - m**2 - 5*m**2 + 6*m in the form n
{ "pile_set_name": "DM Mathematics" }
ctors of z. 2, 3 Let j be ((1 - 0) + (-3)/9)*33. Suppose -8*a + j = 6. List the prime factors of a. 2 Suppose -2*q - 2697 = -w, -5401 = -27*w + 25*w - 3*q. List the prime factors of w. 2699 Suppose -5*b + 498 = -342. List the prime factors of b. 2, 3, 7 Let z be (-33)/(-18) + (-1)/(-6). Suppose -4*n - 16 = 5*o, z*n - 7*n - 20 = -o. Suppose 3*c - 169 = f, -4*f + 4 + 4 = o. List the prime factors of c. 3, 19 Let g be (-5)/(-1*15)*366. Suppose 127*s - 725 = g*s. List the prime factors of s. 5, 29 Suppose -5*b + 984 = 209. What are the prime factors of b? 5, 31 Let j(r) = -r**3 + 7*r**2 - 8*r + 33. Let s be j(5). Suppose -2*o - 4*d + 48 = 0, -5*o + 4*d + 107 = d. Let c = s - o. What are the prime factors of c? 3, 7 Let q = -93 - -163. Suppose 3*w = o + 265, w - q = 3*o + o. What are the prime factors of w? 2, 3, 5 What are the prime factors of ((-2)/5)/((20/(-2))/5700)? 2, 3, 19 Let c(f) be the second derivative of -f**5/20 - 5*f**4/6 - 13*f**3/6 - 5*f**2 - 5*f. Let j be c(-9). Suppose 0 = -0*x - x + j. What are the prime factors of x? 2, 13 Let j(a) = 81*a + 87. What are the prime factors of j(10)? 3, 13, 23 Let m = 136 - -169. Suppose 0 = 6*q - m - 493. List the prime factors of q. 7, 19 Let r be -4*(-4)/(2 - -6). Let t(k) = k**3 + k**2 - 64. Let w be t(0). List the prime factors of r - w - (-5 - -8). 3, 7 Let f(o) = 13*o**3 - o**2 + 5*o + 4. Let h be f(-3). What are the prime factors of 1/4 + 1 + h/(-4)? 2, 47 Suppose 8 = 2*z - l + 3, 4*z = 4*l. List the prime factors of z*(-3)/((-60)/784). 2, 7 Let m = -20 + 11. Let d(p) = p**2 + 9*p + 4. Let j be d(m). Suppose 61 = j*b - 51. List the prime factors of b. 2, 7 Suppose 5*i - 5899 = 12*n - 11*n, -i + n = -1183. List the prime factors of i. 3, 131 Suppose -2*h - 3*w + 8*w - 142 = 0, -2*w = 5*h + 384. Let u = h + 185. What are the prime factors of u? 109 What are the prime factors of ((-8)/(-16))/((-6)/(-8772))? 17, 43 Let y = 7015 - 4076. List the prime factors of y. 2939 Let n(a) = -a**3 + 32*a**2 + 31*a - 100. What are the prime factors of n(32)? 2, 223 List the prime factors of 10/15 + (-2)/((-6)/2809). 937 Let f(q) = -9*q + 300. Let n be f(0). Let t = n + -142. What are the prime factors of t? 2, 79 Let u(s) = s**3 - 11*s**2 + 11. Let d be u(11). Let t be ((-10)/(-8))/(17/204). Let w = t - d. What are the prime factors of w? 2 Let v = -111 - -111. Suppose v = 6*d - 295 - 521. List the prime factors of d. 2, 17 Suppose -2*x - 2*x + 2*m + 198 = 0, -4*x = 3*m - 193. Let h = 10 + x. What are the prime factors of h? 59 Let t = 435 + -189. List the prime factors of t. 2, 3, 41 List the prime factors of 4/5*(-2685)/(-6). 2, 179 Suppose 8*b - 3*b - 510 = 0. Suppose -3*a = -0*a - b. Let m = -21 + a. What are the prime factors of m? 13 Let c(s) = 44*s**2 + 12*s + 6. What are the prime factors of c(-2)? 2, 79 Let p = 134 - -333. List the prime factors of p. 467 Let q be 8*20 - (-8)/8. Suppose 0 = 4*p + 3*n - q, -3*n = -5*p - 7*n + 200. What are the prime factors of p? 2, 11 Let m = -147 - -283. Suppose 2*j = 2*n + 470, 4*j - m - 809 = 3*n. What are the prime factors of j? 2, 3, 5 Let r(b) = 5*b**2 - b - 1. Let y be r(2). Suppose -y = -2*w + 3*d + 2, -d = 5*w - 5. List the prime factors of ((-9)/w)/((-2)/4). 3 Let u(m) = m**2 - 3*m - 6. Let f be u(5). Suppose 0 = -j + 5*j - 72. Suppose -3*q + 0*q + j = 2*d, -f*q + 25 = 3*d. List the prime factors of d. 3 Let w(l) = -5*l + 4*l**3 - 3*l**3 - 7*l + 6 - 7*l**2. Let s be ((-45)/10)/(22/(-4) + 5). List the prime factors of w(s). 2, 3, 5 What are the prime factors of 25890/50 + 12/10? 3, 173 Suppose -15*p = -3*p - 12672. What are the prime factors of p? 2, 3, 11 Let t(j) = -32*j**3 - 7*j**2 - 10*j - 20. What are the prime factors of t(-5)? 3, 5, 257 Let h be (4 + (-340)/(-12) - 4)*-3. Let j = h - -242. What are the prime factors of j? 157 List the prime factors of (-74535)/(-75) + (-12)/15. 3, 331 Suppose 0 = 16*l - 21960 - 312. What are the prime factors of l? 2, 3, 29 Suppose 8*u = 10*u - 502. List the prime factors of u. 251 Suppose 5*l - 68 - 47 = 0. Suppose 5*v + 5*n + 63 - 183 = 0, -l = -v - 2*n. List the prime factors of v. 5 Let y(p) = -p + 14. Let r be y(12). Let s(c) = -10 + r*c - 11 + 43*c**2 + 22. List the prime factors of s(-1). 2, 3, 7 Let r = -9 + 5. Let h(n) = 2*n**2 - 5*n + 3. List the prime factors of h(r). 5, 11 What are the prime factors of 53/4*(-364)/(-13)? 7, 53 Let c(i) = -2*i**3 - 12*i**2 + 16*i. What are the prime factors of c(-10)? 2, 5 Let k(w) = w + 10. Let z be k(-6). Suppose -z*d = -3*d - 35. List the prime factors of d. 5, 7 Suppose 3*u = -0*u + 87. Suppose 0 = 5*m - 711 - u. List the prime factors of m. 2, 37 Suppose -4921 = 36*n - 43*n. List the prime factors of n. 19, 37 Let i(d) = -d**2 + 7*d + 24. Let y be i(7). Let h(j) = -j**3 + 23*j**2 + 28*j + 57. List the prime factors of h(y). 3, 17 Suppose 9*p = 3*p + 18. Suppose 2*v + m - 78 = 0, 5*v + 74 - 258 = p*m. List the prime factors of v. 2, 19 Let i(g) = -g**2 - 9*g - 9. Let x be i(-2). Suppose 0*t = -4*c + 5*t + 873, -x*c = 4*t - 1122. List the prime factors of c. 2, 3, 37 Suppose -4*b = 3*f - 31, f - 7 = -2. Suppose -3*c = -12, x + 74 = 4*x - b*c. What are the prime factors of x? 2, 3, 5 Let r(p) = 3*p**2 + 4*p + 51. Let n be r(-7). Suppose 0 = -v + 2*c + n, 0 = 3*v + 5*c - 163 - 314. List the prime factors of v. 2, 41 Suppose -2315 = 9*k - 10451. List the prime factors of k. 2, 113 Suppose h - 36 - 89 = d, -5*h - 4*d = -580. Suppose 6*n - h = 2*n. What are the prime factors of n? 2, 3, 5 Suppose 2*v - 4 = -2*j, -j - 10 = v + 3*j. Let f be 33/7 - v/(-21). Suppose f*x - 39 - 61 = 0. What are the prime factors of x? 2, 5 Let w = 7485 + -4720. What are the prime factors of w? 5, 7, 79 Suppose -3*n + 2*h - 41 = -11, 49 = -5*n + 3*h. List the prime factors of 1/(-1)*-4*(-92)/n. 2, 23 Let m be (-8)/(-10)*55/22. Suppose -m*v + v + 91 = -4*p, 5*p - 46 = -v. List the prime factors of v. 71 What are the prime factors of 2045*(-52)/(-5)*(-3)/(-12)? 13, 409 Let m(q) = q**2 - 10*q + 14. Let k be m(6). What are the prime factors of 88/(-2)*45/k? 2, 3, 11 Suppose 2*i - 2*n = 538, -29*i + 25*i + 1082 = 2*n. What are the prime factors of i? 2, 3, 5 Let h(g) = g + 12. Let c be h(0). Suppose 136 = 4*m - 4*a, m - 2*a = -c + 46. Suppose -5*f = -5*u - 95, 0 = -f - 2*u - 0*u + m. List the prime factors of f. 2, 3 Let w = 1673 + -1144. What are the prime factors of w? 23 Let w = -1647 + 3309. What are the prime factors of w? 2, 3, 277 Let n = 43 - 8. Suppose 0 = -5*t + 2*l + 88, 0*t = 2*t - l - n. List the prime factors of t/12 + (-69)/(-2). 2, 3 Let x(f) = 2*f**3 + 10*f**2 + f + 10. Let j be x(-5). Suppose -47 = -2*a - 5*r, 3*a + 0*r - 83 = -j*r. What are the prime factors of a? 2, 3 Suppose r = -0*r - 15. Let l = -15 - r. Let s(f) = -f**2 - f + 7. What are the prime factors of s(l)? 7 Suppose -d + 10 = 2*x, 2*d - 21 = 5*x + 44. Suppose -30 = -h - 5*f, 3*h = -0*f - f + d. List the prime factors of h. 5 Suppose -267 - 294 = -3*d. What are the prime factors of d? 11, 17 List the prime factors of (-11 + (-1356)/(-24))/(2/28). 7, 13 What are the prime factors of ((-14)/(-3))/((-35)/((-169785)/22))? 3, 7 Let z(r) = r**2 - 4 + 3 - 3*r**3 + 2*r - r + 0. Let x be z(3). Let g = -40 - x. List the prime factors of g. 2, 3, 5 Suppose 3*y + 90 = -7*y. What are the prime factors of (-129)/y - 3/9? 2, 7 Suppose v - 80 - 190 = 0. Suppose v = -3*u + 8*u + 5*j, -5*u + 2*j = -298. List the prime factors of u. 2, 29 Let u(t) = -4*t**2 - 3*t. Let i be u(-3). Let h = i + 23. Let x(g) = g**3 + 6*g**2 - g - 1. What are the prime factors of x(h)? 5, 7 Suppose 2*f + 62 = 2*b + 196, -3*b = -f + 203. Let u = -36 - b. Suppose 3*k + 4*g - 25 = 103, k - 4*g = u. List the prime factors of k. 2, 5 Suppose -6*u - 9548 = -11*u + r, u + r - 1906 = 0. What are the prime factors of u? 23, 83 Suppose -1880 = -2*g - 5*q, -7*g + 3*g + 4*q = -3704. What are the prime factors of g? 2, 3, 5, 31 Let g = -16 - -21. Suppose d + g = -5*h, d - 11 = 2*h + 12. List the prime factors of d. 3, 5 Let o = 8 + -5. Let d(u) = 11 - 10 + 4*u**2 - 3*u - u**o + 2*u**3. List the prime factors of d(2). 19 Let y be ((-9)/(-6))/(9/12). Suppose y*m - 4 = m. Suppose -2*o = t - m - 41, 5*o - t - 95 = 0. What are the prime factors of o? 2, 5 What are the prim
{ "pile_set_name": "DM Mathematics" }
ermine o so that -14660/3 - 3685/3*o**2 - 14680/3*o - 5/3*o**3 = 0. -733, -2 Let w(k) be the third derivative of -2*k**6/9 + 134*k**5/9 - 7015*k**4/24 - 2645*k**3/2 - 821*k**2. Suppose w(n) = 0. What is n? -1, 69/4 Suppose 5*a - 2*g - 23 = 0, -2*g - 2 = 10*a - 8*a. Suppose -5*j - v + 35 = 13, -a*j = -2*v - 8. Determine u, given that 13/6*u**3 - j*u**2 + 3/2*u + 1/3 = 0. -2/13, 1 Let n be -4 + (3*4/3 - (9 + (-4428)/100)). Factor 2/25*d**2 + n - 84/25*d. 2*(d - 21)**2/25 Let -7*o**4 - 21*o**2 + 768 - 849831*o**3 + 849675*o**3 - 3*o**4 - 187*o**2 + 2*o**5 + 704*o = 0. What is o? -4, -1, 2, 12 Let g = -35 + 35. Suppose 0 = -4*o + 12 - g. Factor -12 + 0*i**2 - 5 - 7 - o*i**2 - 27*i. -3*(i + 1)*(i + 8) Let r be (4 - 1)/(4 + -3). Find p such that -45*p**4 + 41*p**4 - 320*p + 13*p**2 + 300 + 18*p**2 - 39*p**2 + 32*p**r = 0. -3, 1, 5 Let i be -9 - (-6 - -11 - 44). Factor 5*d**2 - i*d - 2*d**2 - 18*d + 27*d. 3*d*(d - 7) Find g, given that 1004/7*g**2 + 126002/7*g + 0 + 2/7*g**3 = 0. -251, 0 What is v in -50*v**2 + 97*v - 5*v**3 - 177*v - 25*v = 0? -7, -3, 0 Let b(a) be the third derivative of a**6/480 - a**5/24 - 43*a**4/96 + 13*a**3/6 + 63*a**2 - 2. Find r, given that b(r) = 0. -4, 1, 13 Find d such that -1621*d**3 - 20*d**4 - 4*d**5 + 1441*d**3 - 86*d**2 - 2*d**2 - 76*d**4 = 0. -22, -1, 0 Let v(g) be the first derivative of 7/3*g**3 - 2*g + 3/8*g**4 + 101 + 7/4*g**2. What is s in v(s) = 0? -4, -1, 1/3 Let p(x) = -x**3 + 99*x**2 - 13*x - 8325. Let n be p(98). Let 0*u + 17/5*u**3 + 0 + 1/5*u**n - 2*u**2 - 8/5*u**4 = 0. Calculate u. 0, 1, 2, 5 Let f = -179 + 206. Let l be ((-2)/14)/(f/(-63)). Factor -2/3 - l*z + 1/3*z**2. (z - 2)*(z + 1)/3 Let i(f) be the second derivative of -45/4*f**3 - 1 - 45/2*f**2 + 11*f - 5/6*f**4. What is l in i(l) = 0? -6, -3/4 Suppose -17 = -r - 2*v - v, -5*v = 3*r - 31. Let q(s) = s**2 + 22*s - 23. Let k be q(-23). Factor -8/15*p + k + 2/15*p**3 + 2/5*p**r. 2*p*(p - 1)*(p + 4)/15 Let d(a) = 2*a - 26. Let h be d(15). Suppose 2*c + 10 = 0, -h*t + 129 + 11 = -4*c. Solve -60 + t + 2*l**2 - l**3 + 30 = 0. 0, 2 Let v be (0 - 1)*6/(-3). Let s be (8 + -11)*14/(-35). Factor 3/5*d - s + 3/5*d**v. 3*(d - 1)*(d + 2)/5 Let o(n) be the second derivative of 1/126*n**4 - 4/3*n**3 - 10 + 84*n**2 + 4*n. Factor o(x). 2*(x - 42)**2/21 Find y, given that 10880*y**2 + y + 10876*y**2 + 2*y - 21658*y**2 = 0. -3/98, 0 Let x(v) be the second derivative of -11*v**7 + 243*v**6/10 - 9*v**5/2 - 53*v**4/4 - 3*v**3 - 4543*v. Determine u, given that x(u) = 0. -2/7, -3/22, 0, 1 Let h be ((-1)/6)/(15/(-300)). Suppose -11*r + 8*r - 4*f + 24 = 0, -r - 5*f + 30 = 0. Factor r + h*j**3 + 0*j + 2/3*j**4 + 8/3*j**2. 2*j**2*(j + 1)*(j + 4)/3 Let b(o) be the second derivative of -o**6/45 - 8*o**5/15 - 43*o**4/18 + 20*o**3/3 - o + 15. Solve b(q) = 0 for q. -12, -5, 0, 1 Factor -3*y**2 + 3*y**2 + y**2 + 40*y - 28*y. y*(y + 12) Suppose 4*q - 5*i = 76, -5*q - 5*i + 4*i = -95. Let t = 20 - q. Factor -16*u**2 + 5*u - 6*u - 7*u - t. -(4*u + 1)**2 Let b(z) = z**3 + 0*z**2 - 695*z + 4*z**2 - 710*z - 120 + 1376*z + 0*z**3. Let g be b(-5). Factor 1/3*y**4 + 2/3*y + g + 13/6*y**2 + 11/6*y**3. y*(y + 1)*(y + 4)*(2*y + 1)/6 Factor -21*l**2 + 25*l**2 + 3066*l + 287*l + 633616 - 169*l. 4*(l + 398)**2 Let z = 9782 - 78131/8. Let x(n) be the first derivative of 23 + 15/2*n + 5*n**3 - 35/16*n**4 + z*n**2. Let x(i) = 0. Calculate i. -1, -2/7, 3 Let j(w) be the first derivative of -w**6/15 + 9*w**5/20 - 7*w**4/6 + 3*w**3/2 - w**2 + 82*w + 15. Let g(x) be the first derivative of j(x). Factor g(n). -(n - 2)*(n - 1)**2*(2*n - 1) Let t(y) be the second derivative of y**6/30 - 3*y**4 + 2030*y. Factor t(c). c**2*(c - 6)*(c + 6) Let n(z) be the third derivative of -z**7/1470 - 29*z**6/420 + 59*z**5/420 - 2*z**2 + 608*z - 3. Factor n(x). -x**2*(x - 1)*(x + 59)/7 Factor 14/9*f**2 + 11428/9*f + 1088/3. 2*(f + 816)*(7*f + 2)/9 Let b(a) be the third derivative of -a**5/300 - 2*a**4/5 + 104*a**3/15 + 1610*a**2. Find y such that b(y) = 0. -52, 4 Let h(d) = -596*d - 39332. Let u be h(-66). Factor -6*k**3 + 18 + 6*k - 1/2*k**u - 35/2*k**2. -(k - 1)*(k + 1)*(k + 6)**2/2 Let o(c) be the third derivative of c**5/160 + 175*c**4/8 + 30625*c**3 + 2240*c**2. Factor o(f). 3*(f + 700)**2/8 Factor -2900/3*l**3 + 4/3*l**4 + 527072/3*l**2 + 0 - 524176/3*l. 4*l*(l - 362)**2*(l - 1)/3 Let i(g) be the first derivative of -1/30*g**5 + 1/9*g**3 - 1/6*g - 5/12*g**4 + 5/36*g**6 + 120 + 5/12*g**2. Determine u, given that i(u) = 0. -1, 1/5, 1 Let h be (-91)/78*13/(-91). Let s(n) be the first derivative of 0*n + 18 - 1/4*n**2 - h*n**3. Find l such that s(l) = 0. -1, 0 Let c(y) be the third derivative of -y**7/1785 - y**6/1020 + 26*y**5/255 + 37*y**4/51 + 32*y**3/17 + 3704*y**2. Solve c(q) = 0 for q. -6, -2, -1, 8 Let -201/2*r - 1/2*r**2 + 101 = 0. What is r? -202, 1 Let j(a) be the third derivative of 64/27*a**3 + 2/9*a**5 + 26/27*a**4 - 2*a**2 + 7/270*a**6 + 1/945*a**7 - 8*a + 0. Factor j(g). 2*(g + 2)**3*(g + 8)/9 Let u be -2 - ((-3388866)/60816)/(-13) - -6. Let v = -1/1448 - u. Solve 12/7*f - v + 2*f**2 = 0 for f. -1, 1/7 Determine d so that -48 + 20*d + 22 - 56*d**2 + 26 + 24 + 12*d**5 - 37*d**3 + 32*d**4 + 5*d**3 = 0. -3, -1, -2/3, 1 Let y(l) = -4*l**2 + 8*l - 3. Let o be y(1). Let n be 96/(-80)*o/8*-10. Solve -n*d**5 - 3/2*d**3 + 0 + 0*d + 3*d**4 + 0*d**2 = 0 for d. 0, 1 Let r(q) = 2*q + 27. Let n be r(-12). Suppose -n*k = -3, 25 = 4*i - 2*k + 3*k. Factor 2 + 5*x**3 + 10*x**2 + 4*x - i + 3*x**2. (x + 1)*(x + 2)*(5*x - 2) Suppose -5*q - 28 = -h, -125*h + 121*h = -3*q - 27. Let z(t) be the first derivative of -2/9*t**3 - 2*t**2 - 6*t - h. Factor z(s). -2*(s + 3)**2/3 Let w be (-4)/((-36)/137) - 18*20/24. Factor -w*f**2 + 14/9*f - 4/3. -2*(f - 6)*(f - 1)/9 Suppose -179*r = -414*r. Let g(x) be the first derivative of 0*x**2 + 0*x**3 - 1/20*x**4 - 17 + 1/25*x**5 + r*x. Determine q, given that g(q) = 0. 0, 1 Let l(u) be the first derivative of -4*u**3/3 + 1828*u**2 - 835396*u - 1132. Find t, given that l(t) = 0. 457 Determine j so that -j**5 - 1413/5*j**2 - 87/5*j**4 - 529/5*j**3 - 1566/5*j - 432/5 = 0. -8, -3, -2/5 Let c(u) be the first derivative of -63*u**6/4 + 1041*u**5/10 - 813*u**4/4 + 106*u**3 - 18*u**2 - 4884. Find x, given that c(x) = 0. 0, 2/9, 2/7, 2, 3 Let i(n) be the second derivative of -n**4/42 + 50*n**3/21 + 48*n**2 - 220*n - 15. Find z such that i(z) = 0. -6, 56 Factor 13*t + 1/3*t**2 - 40/3. (t - 1)*(t + 40)/3 Suppose -27*c + 33*c = 36. Solve 484 + 85*x - 434 + c*x**2 + 9*x**2 = 0. -5, -2/3 Let q = 2346601/200 - 11733. Let m(d) be the third derivative of -18*d**2 + 0*d - 3/50*d**5 + 0*d**3 - 9/40*d**4 + 0 - q*d**6. Factor m(n). -3*n*(n + 3)**2/5 Factor 0*c**2 - 2*c - 3*c + 18 - 88 - 4*c + c**2. (c - 14)*(c + 5) Let c(k) be the second derivative of 3*k**5/20 - 107*k**4/4 - 109*k**3 + 463*k. Suppose c(x) = 0. Calculate x. -2, 0, 109 Suppose 0 = 7*z - 12*z + 50. Suppose -v + 5*f + z + 19 = 0, 2*v + 4*f = 86. Factor -296*k**2 - 17 + 101*k + 151*k**3 + v*k + 137*k**3 - 7 + 20*k**5 - 128*k**4. 4*(k - 3)*(k - 1)**3*(5*k - 2) Let o = -4502524/111 - -40564. Let w = o - 2/37. Suppose -8*n**3 + 0*n - 24*n**4 - w*n**2 + 0 = 0. Calculate n. -1/6, 0 Let j be 4/26 - (192/(-260))/((-144)/(-360)). What is g in -3/7*g**j - 972/7 + 108/7*g = 0? 18 Let z(f) be the first derivative of f**5/35 - 17*f**4/28 + 15*f**3/7 - 43*f**2/14 + 2*f + 1173. Determine q, given that z(q) = 0. 1, 14 Let m(q) be the second derivative of 2/19*q**4 + 2/95*q**6 - 309*q + 0 - 1/399*q**7 + 0*q**2 - 13/190*q**5 - 4/57*q**3. Solve m(c) = 0 for c. 0, 1, 2 Suppose -5*t = 4*b - 20, -t + 5*b + 3 = 6*b. Suppose 2*l = -0*l - t, j + 5*l + 18 = 0. Factor 0 - 4/5*u**j + 4/5*u. -4*u*(u - 1)/5 Let m(x) be the second derivative of 5*x**4/12 + 50*x**3/3 - 110*x**2 + 117*x - 3. Solve m(c) = 0. -22, 2 Let d(p) be the second derivative of -165/8*p**2 - 25/16*p**4 - 1/16*p**5 - 235/24*p**3 + 2*p + 25. Factor d(x). -5*(x + 1)*(x + 3)*(x + 11)/4 Suppose -2*m + 3*q + 9 = -4*m, -4*m + q = -17. Factor -3*d + 9*d**2 - 311 - m*d**4 + 309 - d**3 + 0*d**2. -(d - 1)**2*(d + 2)*(3*d + 1) Let h(r) be the third derivative of r**5/100 - 49*r**4/40 - 33*r**3 - 4*r**2 - 2*r + 3. Factor h(l). 3*(l - 55)*(l + 6)/5 Factor 15*g**4 + 163*g - 40*g - 37*g**2 - 30*g + 162*g**2 + 110*g**3 - 6
{ "pile_set_name": "DM Mathematics" }
s = 1534 - 691. What is the hundreds digit of s? 8 Let y(u) = -15*u - 12. Let f(z) = 7*z + 6. Let w(l) = 5*f(l) + 2*y(l). What is the units digit of w(14)? 6 Suppose -4*b + 6*b = 4. Suppose 95 = -y + b*y. What is the units digit of y? 5 Suppose 0 = -7*y + 2*y - 4*y. Suppose -456 = -5*r + r + 3*a, y = -5*r - 2*a + 547. What is the units digit of r? 1 Let y be 3 + (-2)/(4/(-2)). Suppose 5*c + 5*a = 815, 2*a + 803 = 5*c + y*a. What is the hundreds digit of c? 1 Suppose -4*l = -23*l + 6004. What is the units digit of l? 6 Let d(z) = -4*z**2 + 92*z + 27. What is the tens digit of d(20)? 6 Let v(z) be the second derivative of -z**5/20 - z**4/4 - 2*z**3/3 - 3*z**2/2 + 6*z. Let p be 1/(2 + 21/(-9)). What is the units digit of v(p)? 9 Suppose 3*r - 3*i - 690 = 0, 2*r + i - 464 = 4*i. What is the tens digit of r? 2 Suppose -12*g - 7401 = -5*d - 15*g, 0 = -d - 3*g + 1485. What is the tens digit of d? 7 Suppose 104*x = 109*x + 3*d - 2691, -2*x + 1068 = -3*d. What is the units digit of x? 7 Suppose -2*h = -14*h + 8904. What is the units digit of h? 2 Let c(i) = -114*i**3 - 4*i**2 - 3*i + 7. What is the units digit of c(-2)? 9 Suppose 103 = 4*r + 11. Let k(s) = 2*s - 4. Let b be k(4). Let j = r - b. What is the units digit of j? 9 Suppose 3*u = 2003 + 694. What is the tens digit of u? 9 Let c = -6 + -2. Let m be ((-6)/c - -2)*-20. What is the units digit of m/(-2) - 7/14? 7 Let z(o) = 53*o - 31. Let m = 73 + -68. What is the hundreds digit of z(m)? 2 Let y = -3 - 0. Let j = 21 + y. Suppose -q = -0*q - j. What is the tens digit of q? 1 What is the hundreds digit of (-3742)/(-6) - (28/6)/7? 6 Let m be (2/(-6))/((-3)/(-333)). Let p = 23 - m. Let y = p - 25. What is the units digit of y? 5 Suppose -12679 + 41101 = 6*y. What is the units digit of y? 7 What is the tens digit of ((-114)/(-5))/((-9)/(-120))? 0 Let b = 126 + -60. Suppose -3*y - 3*h = -12, 3*y - 3*h + 2*h - 4 = 0. What is the units digit of y/3 + 3784/b? 8 Suppose -1088 = -2*i - 2*i. Suppose -2*c - g + 105 = 4*g, -5*c - 3*g + i = 0. What is the tens digit of c? 5 Suppose 0 = 4*b - 2*n - 1026, 0 = 5*b + 2*n - 537 - 750. What is the tens digit of b? 5 Let a(f) = -f**2 + 37*f - 55. What is the units digit of a(32)? 5 Let j(y) = -7*y + 20. Let c(i) = i**2 - 5*i + 3. Let q be c(6). Let k be j(q). Let x = 83 + k. What is the tens digit of x? 4 Let h(r) = -r**3 + 5*r**2 + 22*r - 3. What is the units digit of h(-8)? 3 Let o(q) = -14*q - 37*q + 4 + 20*q. What is the tens digit of o(-3)? 9 Suppose -3*k + 5*v - 123 = -0*k, 5*v = -4*k - 129. What is the units digit of (-4)/(-18) + (-1432)/k? 0 Let o be (4 - -149)*-5*2/(-3). Suppose 3*x - 6 = o. What is the hundreds digit of x? 1 Suppose 0 = 5*y + 3*a - 297, 0 = y - 2*a - 60 + 11. Suppose -6*k = -3*k - y. What is the tens digit of k? 1 Suppose -2*o - 3*l = -1710, 0*o + 5*l = -3*o + 2565. What is the tens digit of (-3)/(-1) + o/3? 8 Suppose 2*u + i = 8 + 19, -4*i = -3*u + 24. Suppose u = t + 6. Suppose -n - 2*g - 55 = -t*n, 5*g = -25. What is the units digit of n? 9 Let x(b) = -21*b - 23. Let j be 1/(2 + 14/(-6)). What is the tens digit of x(j)? 4 Suppose -3*w - 1 = k - 2, -5 = 2*k - w. Let r = k - -2. What is the units digit of (-14 + r)/(-4 + 2)? 7 Let o be (11/22)/(1/(-4)). What is the tens digit of -8*(3 - 9) - o? 5 What is the hundreds digit of 143 + (-6)/(-12)*10? 1 Suppose -19214 = -23*r + 4867. What is the thousands digit of r? 1 Suppose 95*c + 34289 = 112*c. What is the hundreds digit of c? 0 Suppose 3*o - 63 = 87. Let h = 87 - o. Suppose 13 - h = -4*v. What is the units digit of v? 6 Suppose 48*z = 51*z - 279. Suppose -7*w + 10*w = z. What is the tens digit of w? 3 Let g = 1671 - 523. What is the thousands digit of g? 1 Let h(w) be the third derivative of -2*w**2 + 0*w + 1/24*w**4 + 0 + 1/30*w**5 + 1/2*w**3. What is the units digit of h(3)? 4 Suppose -4*y - y + 1805 = 0. Suppose -4*c + 132 = -4*u - 160, 4*u = 5*c - y. What is the tens digit of c? 6 Suppose 4*f - 44 = -0*f. Let n = 277 + -269. Let j = f + n. What is the units digit of j? 9 Let v = -168 + 104. What is the tens digit of (-5)/(-10)*v/(-1)? 3 Let k be 84/16 - 1/4. Suppose 444 = k*c + c. What is the units digit of c? 4 Suppose -4*h - 6*g + 4*g + 154 = 0, 5*h = 5*g + 155. What is the units digit of (45/h)/(2/488)? 5 Let d = -96 + 97. What is the units digit of (-1)/(-6) - 454/(-12)*d? 8 Suppose 7*d - 110 = -3*d. Suppose y + 0 = d. What is the units digit of y? 1 Suppose 0 = 7*o - 23 + 170. Suppose s = -s - 26. What is the tens digit of (s/3)/(7/o)? 1 Suppose -5*v - 32 = 3*r, 1 = v - r + 9. Let l be -111*v/(21/4). Suppose 5*f = -5*u + 210, f + l = 5*f - u. What is the tens digit of f? 3 Suppose 63 = b + 68, -b - 2816 = -3*c. What is the units digit of c? 7 What is the hundreds digit of 6/27 - 102115/(-117)? 8 Let q(s) = s**2 - 15*s + 30. What is the units digit of q(29)? 6 Let q(m) = 2*m**2 + 34*m + 103. What is the hundreds digit of q(-26)? 5 Suppose h - 238 = -m, -h + 250 = 18*m - 13*m. Let w be 70/6 + 1/3. Suppose -17*z + w*z + h = 0. What is the tens digit of z? 4 Let s(w) = -w**3 + 13*w**2 + w + 8. Let q be (-901)/(-68) - (-2)/(-8). Let a be s(q). Let r = -19 + a. What is the units digit of r? 2 Suppose 0 = 6*k - 21 - 63. Suppose 0 = -f + k + 15. What is the tens digit of f? 2 What is the tens digit of 2*((-1 - -1) + (2 - -1196))? 9 Let b(h) = h**3 - 8*h**2 + 7*h - 3. Let l be b(7). Let a be (2 + 7)*(-6 + l). What is the units digit of 166/18 + 18/a? 9 Suppose 7 + 8 = 5*u. Suppose -2*y = u*y - 265. What is the tens digit of y? 5 Suppose 2*m + 18 = 5*m. Suppose 3*z - m*z = -264. What is the units digit of (z*1)/4 + 3? 5 What is the units digit of (-1784)/(-36)*-3*(-195)/26? 5 Let a(j) = -j**2 + 3*j + 24. Let r be a(7). What is the hundreds digit of 2*((-3740)/(-40) + r/(-2))? 1 Suppose -4*m + 9*m + 8 = 3*d, 0 = 2*d - 2*m. Let j be 2 - 5*d/(-10). Suppose j*v = -4*v + 148. What is the units digit of v? 7 Suppose 4*b = -5*o - b + 520, -b + 306 = 3*o. Suppose 7 = 4*s - o. What is the tens digit of s? 2 What is the tens digit of 1098/5 + 28/70? 2 Suppose -159 = 3*u - y + 6*y, 5*u + 265 = 5*y. Let i be (u - -13)*(-2)/2. What is the units digit of i + 4/(-8)*0? 0 Let z(f) = -f**3 - 8*f**2 - f - 6. Let a be z(-8). Suppose a*j = 6*j - 12. What is the units digit of j? 3 Suppose 0 = q - 2 - 2. Suppose -3*m + 10 = q. What is the tens digit of -1 - 60/(m/(-1))? 2 Let x(k) be the third derivative of -4*k**4/3 - 13*k**3/3 + 8*k**2. What is the units digit of x(-8)? 0 Suppose 8980 - 24556 = -12*g. What is the hundreds digit of g? 2 Let u(h) = -3*h**3 + 3*h**2 - 3*h - 2. Let a be u(3). Let g = -61 - -30. Let r = g - a. What is the tens digit of r? 3 Suppose -s = -7*s + 18. Suppose 3*b - 174 + s = 0. What is the tens digit of b? 5 Suppose 106*m - 72*m = 135966. What is the tens digit of m? 9 Suppose -4*z = -4*b - 16, -z - 2*b - 2 = -3. What is the hundreds digit of 16/12 - (-332)/z? 1 Let o(l) = 3*l. Let i be o(0). Suppose i = -3*p - 2*p + 100. Suppose 4*y + z = p, 5*y - 13 = 4*z + 12. What is the units digit of y? 5 Suppose 0 = 3*q - 4*q + 109. What is the hundreds digit of q + 1*(-3 - -2)? 1 Suppose -46*q + 49*q = 495. What is the units digit of q? 5 What is the hundreds digit of -2*(-5 + 580/(-3 - -1))? 5 Let b be 195/3*-5 + -1. Let j = -156 - b. What is the units digit of j? 0 Let q(r) = -r + 12. Let h be q(6). Suppose -h = -4*k + 2. Suppose 4*u + 0*u - 2*v = 222, 0 = 3*u + k*v - 177. What is the units digit of u? 7 Let h = 30 - 25. Suppose 3*a + 102 = p + 2*a, -h*p = -a - 514. What is the hundreds digit of p? 1 Let q = 333 + -323. Let v(k) be the third derivative of k**4/24 + k**3 - k**2. What is the units digit of v(q)? 6 Suppose 0*x = -x + 7. Let v(c) = 4*c - 13. Let u be v(7). Let y = x + u. What is the tens digit of y? 2 Suppose -3*p - u = -10, -6*p + 5 = -5*p + 2*u. Suppose -156 = -j + p*g, 4*j - 4*g = 392 + 208. What is the hundreds digit of j? 1 Suppose 9*q - 7710 - 741 = 0. What is the units digit of q? 9 Let m(l) = l**2 + 7*l - 5. What is the units digit of m(-9)? 3 Let l = 28 + -41. Let d be (-9)/(-6)*(-138)/(-9). Let p = l + d. What is the units digit of p? 0 Let x(i) = i**2 - 17. Let d be x(0). Let y = d - -17. Suppose y = -3*z + 3*f + 93, -3*z - f - 2*f + 99 = 0. What is the units digi
{ "pile_set_name": "DM Mathematics" }
6230*l + 4*o = 6225*l - 36 for l. 0 Solve 4*a + d - 16 = 0, -353*d = -348*d + 20 for a. 5 Solve 2*l - 42*c + 46*c - 42 = 0, l + 3*c - 29 = 0 for l. 5 Solve 2*g + 36 = -2*j, -3*g - 2119*j = -2125*j + 45 for g. -17 Solve -m = 3677*i - 3668*i + 34, -2*i = 3*m + 27 for m. -7 Solve -24*k + 8*p + 32 = -22*k, -2*p - 26 = 4*k for k. -4 Solve -21 = -5*h - 2*b, 5*h + 5*b = 1600 - 1570 for h. 3 Solve 3*z = 7*t + 45, 53*z + 3*t - 23 = 49*z for z. 8 Solve 4*m - 222*s - 8 = -226*s, 3*m = 3*s for m. 1 Solve -4*n + 31 - 17 = -3*a, 2*a + 4 = 0 for n. 2 Solve c - n = -1, 0*c - 18*c + 9*c - 2*n = -10*c for c. -2 Solve -u + 0*u - 78 = 26*m, u = 14*m - 18*m - 12 for u. 0 Solve 5*s + 4 = -2*v, 3*v - 606 = -3*s - 612 for s. 0 Solve -y + 5*u - 16*u - 85 = u, -7 = u for y. -1 Solve -2*g + 2*q - 16 + 24 = 0, 4*q - 19 = -3*g for g. 5 Solve -u + 15 = -4*d, -44*d + 3*u = -43*d + 1 for d. -4 Solve -v - 10 = 4*k, -4*k - 85*v + 80*v = 18 for k. -2 Solve -2*s = -4*c - 8, -2*s - 239*c = -234*c - 26 for s. 8 Solve 3*u = -4*s - 1, -s - 5*u = -10 - 11 for s. -4 Solve -14 = 4*p + 2*h, 6*p - 20722*h = -20720*h - 36 for p. -5 Solve 11*z - 13*z = 0, 2*b + z = 6 for b. 3 Solve -4*l = -9453*a + 9457*a + 28, 3*a - l + 9 = 0 for a. -4 Solve 16 = 3*o - 4*a, -9*o + 14*o - 4*a = 40 for o. 12 Solve -4*d = -3*o - 6, 2*d + 2*o = 3*d + 1 for d. 3 Solve -5*j + 15*s = 13*s - 20, 4*j - 5*s = 16 for j. 4 Solve 0 = -5*w - 5*q - 105, -97 = -135*w + 140*w - 3*q for w. -20 Solve -4*r + 27 - 47 = 4*c, 3*c = 5*r - 7 for r. -1 Solve -595*i + 598*i - 6 = 0, -5*b = -3*i - 19 for b. 5 Solve 515*n - 18 = -4*d + 516*n, 7 = 3*d - 4*n for d. 5 Solve o - 20 = 2*q, q - 5*o = 459 - 469 for q. -10 Solve 4*z - 7*y + 1 = -0*z + 2*z - 6*y, 2 = 2*y for z. 0 Solve 4*f - 5*k + 40 = 0, 777*f - 779*f = 2*k + 2 for f. -5 Solve 23*m + c + 458 = -c, -4*c = -4*m - 84 for m. -20 Solve 9242*j - 9244*j = a - 6, -4*a = 2*j - 6 for j. 3 Solve -3*a = 9*k - 51, 96*a - 97*a - 3 = -k for k. 5 Solve -5*q = 3*u + 4, -22*u + 19*u = -5*q + 14 for q. 1 Solve 4*t - 34*j + 32*j + 22 = 0, 4*t + 4*j - 8 = 0 for t. -3 Solve 12 = -22*n + 25*n, n = -5*b + 9 for b. 1 Solve 3*j - 1662 + 1667 = -l, 5*l + j + 25 = 0 for l. -5 Solve 9*f - 14*f + 7 = -3*j, -5*f + 5*j + 22 = 7 for f. -1 Solve -c = -6*g + 47, -65*c + 30 = -67*c + 4*g for c. 1 Solve 421*u - 3 = -3*c + 418*u, 3*u = -4*c + 4 for c. 1 Solve -2*t + 5*z + 8 = 46, 5*t - 4*z + 44 = 0 for t. -4 Solve 2*l - 22*t - 10 = -20*t, -4*l + 47 = 5*t for l. 8 Solve 41 = -4*f - 5*k, 145 = -5*k + 120 for f. -4 Solve 0 = -4*t - 2*y + 6, 1166*t - y + 18 = 1171*t for t. 5 Solve -3*s = 5*s - 4*s + 3*p + 19, 4*p + 20 = 0 for s. -1 Solve -2*r + 22 = 320*o - 323*o, -4*o + r - 26 = 0 for o. -6 Solve -3*u = -11*n - 16 - 5, -5*n + 129 = u + 148 for n. -3 Solve -12*f = -3*h + 60, -3*h = 2*f + 5 - 9 for f. -4 Solve 6 = 3*g - 3*l, 12*l = 9*l + 15 for g. 7 Solve 0 = f + 5*v + 22 - 15, -3*f + v - 5 = 0 for f. -2 Solve -25114*y = -25117*y + g + 19, -5*y + 20 = -4*g for y. 8 Solve p - 3*s = 1, 361 - 359 = 2*p - 5*s for p. 1 Solve -2*i - 76*s + 80*s - 12 = 0, -3*i - 5*s = -26 for i. 2 Solve -4*g = -104*z - 15*z - 734, 4*z + 10 - 6 = -4*g for g. 5 Solve -r - 2 = w, -77*r + 91*r = -2*w + 32 for w. -5 Solve -1401*g = 5*h - 1399*g - 4, -10 = h - 5*g for h. 0 Solve -3*a - 15*g = -12*g + 30, 5*g + 14 = -2*a for a. -12 Solve -5 = -3*r - f, 7*f - 83 = 5*r - 74 for r. 1 Solve 4*p = -5*g + 292 - 310, 3*g = 2*p - 2 for p. -2 Solve -27*x - 19*x + 43*x + 8 = 4*n, 3*n = -x + 6 for n. 2 Solve 22 = -2*f - 4*n, 0 = -4*f + 2*n + 13 - 27 for f. -5 Solve -341*o = -344*o + 2*s - 13, 21 = -5*o + 4*s for o. -5 Solve 5*s = -11*c + 7*c - 50, -4*s = 24 for c. -5 Solve 3*v = 2*k + 9, 4*k = -2*v + 292 - 350 for v. -5 Solve -5*d = -2*p - 5, 11*d = 10*d - 5*p - 26 for d. -1 Solve 3*p = 4*u + 11, 9 = -5*u - 15*p + 14*p for u. -2 Solve 0*t + 2*j = 5*t - 10, 0 = 5*t + 6*j + 30 for t. 0 Solve -v - 18 = -4*a, -29*v + 33*v + 3*a = 4 for v. -2 Solve -34*u + 23 = -37*u + 4*q, -4*u = -3*q + 26 for u. -5 Solve -524*m + 525*m = 4*u - 22, -m + 2 = 4 for u. 5 Solve 1658*x - 1660*x = a - 17, -4*x + 64 = -8*a for a. -3 Solve 4*g - 4 = -2*i, 9*i = -3*g + 10*i + 13 for g. 3 Solve 5*k - 11671*p - 25 = -11676*p, 5*p - 17 = -k for k. 2 Solve -71*g + 523 = -31*v - 75*g, 5*g = -5*v - 80 for v. -17 Solve 10*x = j - 42, 3*x = 7*x + j + 14 for x. -4 Solve 4*z - 12 = 2*x, 0 = -2*x + 58 - 50 for z. 5 Solve 5*z = 5*k + 50, z = 227*k - 223*k + 46 for k. -12 Solve -5*z + 96 = -9*v, -2*v = 370*z - 366*z + 6 for z. 3 Solve 2*g = -4*v - 4, 0 = -v + 5*g - 7242 + 7285 for v. 3 Solve -5*a + 4*u = -15, 3790*a - 6 = 3788*a + 4*u for a. 3 Solve -223*r - 79 = 219*r - 447*r - 2*h, -r - 5*h + 25 = 0 for r. 15 Solve 25*n = 5*v + 30*n - 35, -3*n = 5*v - 31 for v. 5 Solve -2020*q + 23 = 4*i - 2027*q, -3*i = -3*q - 6 for i. -3 Solve 4*k = -a - 24, -159*k - 40 = 5*a - 155*k for a. -4 Solve -q + 2*d = -d - 3, 0 = 5*q - 4*d - 37 for q. 9 Solve -19 = 2*h - 0*k + 3*k - 15, 0 = -6*k for h. -2 Solve -11 = 3*t + x, -629*t + 626*t = 2*x + 13 for t. -3 Solve 1736*j = 1739*j + 2*w + 19, -4*j - 12 = -4*w for j. -5 Solve -b + 3*q = 61, 4*b + 2*q + 155 = 205 for b. 2 Solve 0 = -5*l - 5*y - 25, 20*y + 21 = -5*l + 19*y for l. -4 Solve 2*r = -250*g + 248*g + 6, 0 = 4*r + 2*g - 4 for r. -1 Solve -3*l + 475*g = 474*g - 2, -4*l = 5*g + 29 for l. -1 Solve k + 39 = -4*s, 946*k - s + 6 = 941*k for k. -3 Solve 250 - 261 = -2*d + l, 2*l = -2*d + 2 for d. 4 Solve -7*h = -l + 6, 2773*h - 4*l = 2775*h + 6 for h. -1 Solve -32*i + 33*i + 2*h - 3 + 1 = 0, h + 13 = -4*i for i. -4 Solve -196*p = -g - 200*p - 11, -3*g - p - 22 = 0 for g. -7 Solve -5*u - 5*n = -15, 3315*u - 5 = 3313*u - n for u. 2 Solve 5*r - 5*j - 15 = 30, -11*j = -r + 49 for r. 5 Solve 5*w = 9*k + 90, -w = 2*k + 148 - 147 for k. -5 Solve 2*x + 1 = -n, 5*n = -935*x + 932*x + 9 for x. -2 Solve -2*l + 39 = -5*b, 16*l + 55 = -4*b + 19*l for b. -1 Solve -5*m + 3*a + 14 = 0, 10*a - 12*a + 3*a = -3 for m. 1 Solve -2*g + 33*c = -140, -62*c = -2*g - 66*c - 8 for g. 4 Solve 0 = -5*p + 2*a - 4, p + 3*a - 7 = -18 for p. -2 Solve -3*s + 9 = -6*n + 6, -5*n + 3 = -2*n for s. 3 Solve v - 88*h - 6 = -87*h, v + 3*h = -2 for v. 4 Solve 1301*b - 1304*b - 5 = -2*p, -b = -p + 3 for b. 1 Solve -385*x = -380*x - 2*d + 16, 3*d - 11 = x for x. -2 Solve -11479*x + 11482*x = -7*v - 131, -3*x = -2*v - 49 for v. -20 Solve -5*c - k - 8*k = -7*k - 29, 0 = 2*k - 4 for c. 5 Solve 2*b - 9*n + 7*n + 8 = 0, -8 = -b - 2*n for b. 0 Solve -498*n = -496*n + i + 2, 4*i - 25 = 3*n for n. -3 Solve 3 = 5*l - 2*i + 11, -2*i = i - 42 for l. 4 Solve 5*c + 4*s - 15 = 0, -9*s - 86 = -4*c - 151 + 77 for c. 3 Solve 3*f - 4*v + 19 = 0, 0 = -73*f + 78*f - 5*v + 30 for f. -5 Solve 6*y + 5*n = 5*y - 3, 4*y + 2*n = -30 for y. -8 Solve 5*i = 5*i - 4*i + 3*m - 24, -2*m = -8 for i. -3 Solve -511*p + 515*p = -3*z - 77, -z = -p - 14 for p. -17 Solve 4*m + 22 = 2*b, 69 - 55 = 2*b - 2*m for b. 3 Solve -4*d = y - 21, d + 16*y + 239 - 323 = 0 for d. 4 Solve -2*g + 122*u + 6 = 123*u, 8 = 2*u for g. 1 Solve 2*b + 159*n - 2 = 160*n, -2*n = -5*b + 4 for b. 0 Solve -17*a - 27 = 5*g, 2*g = 7*a - 6*a - 3 for a. -1 Solve 4 = -2*b, 38 = -155*o + 159*o - b for o. 9 Solve 0 = -5*t - 5*v - 50, -2498*t + 2487*t = v + 160 for t. -15 Solve 6*u = -4*d + u - 25, 0 = 11*d - 3*u + 16 - 31 for d. 0 Solve 0 = 5*d + 2*y - 11, 4*d - 28*y = -33*y - 15 for d. 5 Solve 11*f + 174 = 19*f + 2*i, 2*f - 57 = -5*i for f. 21 Solve 108*d - 12 = -4*q + 104*d, 2*d = 3*q - 19 for q. 5 Solve k + 3*x + 5 = 22, 3*k + 2*x = 23 for k. 5 Solve 144*j - 147*j + 2*c - 18 = 0, 3*c - 18 = 0 for j. -2 Solve 4*a + 37*u = 35*u - 36, 3*a - 3*u - 9 = 0 for a. -5 Solve -2*t - 6 = 4*q, 0 = t + 79*q - 86*q + 12 for t. -5 Solve -78*y + 79*y - 3*p + 28 = 0, 0 = -3*y + 4*p - 44 for y. -4 Solve -z - z = 2, -8*f + 11*f - 4*z + 14 = 0 for f. -6 Solve 0 = -3*d - 3*l + 6, -d - 98*l + 93*l + 2 = 0 for d. 2 Solve -90*a + 89*a - 16 = -3*f, 0 = 8*a - 4*f + 48 for a. -4 Solve -2*u - 2*g = -24, -5*u + 4395*g + 12 = 4394*g for u. 4 Solve 3*s = 6*s, 4*k = -0*k - 2*s - 28 for k. -7 Solve -11*h = 6*q - 12*h - 14, 3*q + 4 = -5*h for q. 2 Solve -3*p = 5*x - 10 - 35, 8*x = 11*p - 165 for x. 0 Solve 10 = 5*a + 5*u, 101*a + 4*u = 105*a + 16 for a. -1 Solve 18 + 2 = -5*a - f, -5*a = -3*f + 40 for a. -5 Sol
{ "pile_set_name": "DM Mathematics" }
(475) + (2 + sqrt(475))*6 + 1 - ((sqrt(2299) + (sqrt(2299) - (1*sqrt(2299) + sqrt(2299) - sqrt(2299))) + 4)**2 + 1). -2303 - 53*sqrt(19) Simplify (sqrt(72)/sqrt(2)*-4)/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*3)) - (0 + (sqrt(3) - sqrt(9)/(sqrt(9)/sqrt(3)) - ((sqrt(192)*-4)**2 + sqrt(192)))). 118*sqrt(3)/15 + 3072 Simplify (-5*(-2*sqrt(1225)*5 + sqrt(1225)))/((sqrt(7) - (3*sqrt(252) - sqrt(252))) + (2*sqrt(700) - sqrt(700))). -225*sqrt(7) Simplify -2*(((0 + sqrt(832) + 3 + -3)*-4)**2 + -4 + (4*(sqrt(832) + -1))**2 + 2). -53276 + 512*sqrt(13) Simplify (sqrt(170) + (sqrt(170)*3*6 - sqrt(170) - sqrt(170) - sqrt(170)))/(sqrt(360)*-3) + -2 + (sqrt(51) + sqrt(459)*6)/(sqrt(21)/(sqrt(7)*1)). -2 + 163*sqrt(17)/9 Simplify (5 + ((sqrt(10)/sqrt(5) - sqrt(2))*1 - sqrt(2)) + 1 + sqrt(2) + sqrt(2) + 0 - -2*(sqrt(3200) + -4))**2. -324*sqrt(2) + 13126 Simplify -4 + 1*(((1 + sqrt(98) + 5)**2 + -2*(sqrt(98) + 0) - (sqrt(98) + 2*(sqrt(98) + -1) - (5*(-1 + sqrt(98)) + sqrt(98)))**2) + 4). -757 + 196*sqrt(2) Simplify ((sqrt(170)*-1 - sqrt(170))*-1*1*3)/((sqrt(20) + sqrt(180)/sqrt(36))/(1*sqrt(128))). 32*sqrt(17) Simplify ((1 + (sqrt(1900) + 3 + sqrt(1900) + sqrt(1900))**2 - (-5 + (sqrt(19) - (sqrt(19) - 4*sqrt(19))) + 1)) + -4)*-1. -17110 - 176*sqrt(19) Simplify -6*(sqrt(143)/(sqrt(11) - (sqrt(88)*1 - sqrt(88))/sqrt(8)) + (2 + -1*sqrt(13)*1)**2 + 2) + 1. -113 + 18*sqrt(13) Simplify -5 + ((-3*(sqrt(99) - ((sqrt(99) - 2*sqrt(99) - sqrt(99)) + sqrt(99)))*-1)/((sqrt(432)/(sqrt(12)*-1 - sqrt(12)))/sqrt(4)) + 3 + -2)**2. -24*sqrt(11) + 1580 Simplify -5*-2*(5 + (sqrt(98) - -3*(sqrt(98) + sqrt(98) + 0 + sqrt(98))) + sqrt(98) + 5 + sqrt(98) + 3 + sqrt(98) + sqrt(98) + sqrt(98))**2. 27300*sqrt(2) + 222190 Simplify (sqrt(234)/(sqrt(6)*2) + 2*(sqrt(39)*-1 - sqrt(39)))/(-5*-1*2*sqrt(3)) + 4. -7*sqrt(13)/20 + 4 Simplify (sqrt(468)*-3 + 3 + 3 - sqrt(117)/((sqrt(72)*3)/sqrt(8) - sqrt(9))*5)**2. -246*sqrt(13) + 21997/4 Simplify (-2*-5*3*sqrt(152)*2)/(1*3*(sqrt(800) + -2*sqrt(800))). -2*sqrt(19) Simplify ((-2*sqrt(891)*2 + sqrt(891) + sqrt(891) + sqrt(891)*1*-6 + sqrt(891) - (-5 + 0 + sqrt(891) + 5))*-4)**2*-5. -4561920 Simplify (-1*(sqrt(144)/sqrt(3) + (sqrt(243) - (0 + sqrt(243) - sqrt(243))))*-5)**2 - (-2 + -3*sqrt(12)/(sqrt(400) + -1*sqrt(400) - sqrt(4)))**2. 12*sqrt(3) + 12644 Simplify 5 + (sqrt(105)/sqrt(5)*6 - (sqrt(21) + -1*sqrt(756)))/(2*sqrt(343)*-6). -11*sqrt(3)/84 + 5 Simplify (-3*(sqrt(4500) - (sqrt(4500) - (4 + sqrt(4500) + sqrt(4500)))))**2 + (sqrt(80) + 2*sqrt(80))/(-3*sqrt(36)). 12958*sqrt(5)/3 + 162144 Simplify 2*-2*(4 + -4 + ((-2 + sqrt(180))*-6 + -1*sqrt(180)*-5)**2). -1296 + 576*sqrt(5) Simplify (2*(2*sqrt(2500) + 2*(sqrt(25) + sqrt(100))))/(4*(sqrt(5) + -5*sqrt(5)*-1 + ((1*sqrt(605) - sqrt(605)) + sqrt(605) - sqrt(605)))). 13*sqrt(5)/6 Simplify 5 + ((6*(sqrt(2299)*-2 + sqrt(2299))*3)**2 - (4*1*sqrt(2299) - -3*sqrt(2299)*-2)**2)*-3. -2207035 Simplify (-5*(-5 + (sqrt(500) + 0)*-2 + -5*(1*sqrt(500) - sqrt(500))*3))**2*-2. -101250 - 10000*sqrt(5) Simplify (-1*(sqrt(1008) + -1)*4*-6)**2 - ((sqrt(1008) + (sqrt(1008) - (-1 + sqrt(1008))) - sqrt(1008))*6 - (3 + (sqrt(1008)*3)**2)). -13824*sqrt(7) + 590253 Simplify (5 + 2*(((sqrt(637) - (sqrt(637) + 0)) + sqrt(637) - sqrt(637)) + 1) - -5*(sqrt(325)*-5 + sqrt(13) + (sqrt(13) + -1*sqrt(13))*2))**2. -1680*sqrt(13) + 187249 Simplify (sqrt(105)/(sqrt(180)*6)*-3)/(1*6*sqrt(175)*-6). sqrt(3)/2160 Simplify (-5*(-1*sqrt(832) + -1*sqrt(6292))/(sqrt(4) + -2*1*sqrt(4) - (sqrt(4) + sqrt(36))*2)*-3)**2. 8125 Simplify 1*(-1 + 4*(5 + (-6*4*sqrt(2736) - (-1*sqrt(2736) + 5)))**2). 5789375 Simplify 1 + 2 + (-5*sqrt(156)/sqrt(3) - (sqrt(364)/sqrt(112) + sqrt(52)))/(sqrt(64) - (sqrt(64)*-2*1 - sqrt(64)) - sqrt(64)). -25*sqrt(13)/48 + 3 Simplify ((sqrt(130) + 2*sqrt(130))/sqrt(10) + 3 + 4*(sqrt(13) + 1*sqrt(13)*6) - ((sqrt(117) + 2*sqrt(117))*2 + (sqrt(52) + 1 - sqrt(208)/sqrt(4))))**2. 52*sqrt(13) + 2201 Simplify (5*2*((sqrt(1088) - (-1 + -1*sqrt(1088))) + sqrt(1088) + sqrt(1088) + (-4*(sqrt(1088) - (1 + sqrt(1088))) - sqrt(1088))))**2 + 0. 24000*sqrt(17) + 981700 Simplify -1 + 3*((5 + 1 + sqrt(567) - ((1 + sqrt(567) - sqrt(567)) + -3))**2 + (3 + sqrt(567)*-2 + sqrt(567))**2 + (sqrt(567) - (1 + sqrt(567) + 0))**2). 270*sqrt(7) + 3623 Simplify -4 + ((-3 + 2*3*((0 + sqrt(612))*3 - sqrt(612)))*3 + 2)**2. -3024*sqrt(17) + 793197 Simplify (3 + sqrt(190)/(-2*sqrt(10)) - (sqrt(2736) + (-1*sqrt(2736) + -5 - sqrt(2736)))**2) + 5. -2753 - 241*sqrt(19)/2 Simplify (6*(sqrt(280) - (sqrt(280) + (1*sqrt(280) - sqrt(280)) - sqrt(280)))/sqrt(8))/(sqrt(60)/(sqrt(192)*-6))*-2. 288*sqrt(7) Simplify (4*((sqrt(539) - -1*sqrt(539))*4*6 - (3 + sqrt(539) - sqrt(539))*-6*4))**2. 774144*sqrt(11) + 19952640 Simplify (-1*sqrt(60))/(3*2*sqrt(3)) + 3 + (sqrt(320) + -1)**2 + sqrt(320) + -3. -25*sqrt(5)/3 + 321 Simplify 4*(-5*((sqrt(24)*-2 + sqrt(24))*-6 - (sqrt(96) - sqrt(96)*1 - sqrt(96))))/(sqrt(108)*2 + (sqrt(240)/sqrt(5) - sqrt(48))/sqrt(4)). -80*sqrt(2)/3 Simplify ((sqrt(192)/sqrt(150))/sqrt(4)*6)/(-6*sqrt(324) - 6*sqrt(256)). -sqrt(2)/85 Simplify (((-1*sqrt(2695) + sqrt(2695) + sqrt(2695))*6 + sqrt(2695))*6)/((1*-2*sqrt(99) + sqrt(99))*2). -49*sqrt(5) Simplify ((2 + sqrt(2736) - sqrt(2736))**2*2 - sqrt(2736)) + -2 - (-4*(sqrt(2736) + 1) - -6*sqrt(2736)*2). -108*sqrt(19) + 10 Simplify (sqrt(171) + 0 + -3)*-3*4 + 6*((sqrt(171) + -2 + sqrt(171) + 0 + sqrt(171) + sqrt(171) - sqrt(171))**2 + 0 + sqrt(171) + 1) + 0. -234*sqrt(19) + 9300 Simplify ((sqrt(4752) + sqrt(4752) + sqrt(4752)*-2 - sqrt(33)) + 2*sqrt(132) + sqrt(33))/((-4*-2*sqrt(55))/(sqrt(5) - (sqrt(10)/sqrt(2) + sqrt(5))*2)). -3*sqrt(3)/2 Simplify -5 + -3*(sqrt(637) + -1*sqrt(637) + 3 + sqrt(637))**2 + (1*sqrt(13)*6 + 2)*-3. -1949 - 144*sqrt(13) Simplify (2 + ((sqrt(264)/(1*sqrt(11)) + (sqrt(48)*1)/sqrt(2))/(sqrt(8) + -4*(sqrt(8)*-1 + sqrt(8)) + sqrt(8) - (sqrt(648)*1 + sqrt(648))))**2)*-1. -131/64 Simplify (-5*sqrt(3168)*-2)/(sqrt(4)/sqrt(2)*3 - sqrt(98)*2)*-4*5. 2400*sqrt(11)/11 Simplify (sqrt(210)/(sqrt(12)/sqrt(2)) - sqrt(315)/(sqrt(9)*1))/((sqrt(504)/(sqrt(8) + sqrt(8)*-2 - sqrt(8)))/(4*(sqrt(9) + sqrt(36)/sqrt(4) - sqrt(9)))). 0 Simplify (5 + (5 + (5*(0 + sqrt(275)) - sqrt(275) - sqrt(275) - (1 + sqrt(275))*-2))**2 + -5)*3. 1050*sqrt(11) + 20772 Simplify ((sqrt(80)*-2*5 - sqrt(80) - sqrt(80))*6 - (1*sqrt(1470))/((-2*sqrt(60))/sqrt(10)))*-3. 1707*sqrt(5)/2 Simplify (-4*-4*-2*sqrt(11) + ((5*sqrt(88) + sqrt(88))*-2)/sqrt(8))*-6*3. 792*sqrt(11) Simplify (5*-2*3*sqrt(1200))**2*5*4*-5 + -4. -108000004 Simplify ((sqrt(44) - (-3 + sqrt(220)/sqrt(5)))*2 - (sqrt(99) + sqrt(99) + -1 + sqrt(99) + (sqrt(11) - 1*(3 + sqrt(11)))))**2. -180*sqrt(11) + 991 Simplify (-6*-5*(-3*sqrt(112) + sqrt(112))/sqrt(8))/(1*sqrt(175)*1 + -2*sqrt(175)*2). 4*sqrt(2) Simplify (sqrt(10)/(6*sqrt(10)/sqrt(2)) - (2*(sqrt(50) + 2) - sqrt(50)))**2*1. 116*sqrt(2)/3 + 1129/18 Simplify (-3 + 1 + -2*sqrt(833)*4)**2 - -4*(0 + sqrt(833) + -2)*-2. 168*sqrt(17) + 53332 Simplify (sqrt(375)*4)/((sqrt(3) - sqrt(9)/sqrt(3))*2 + sqrt(3)) + ((2*sqrt(45))/sqrt(3) - sqrt(15))/(sqrt(96)/sqrt(2)). 81*sqrt(5)/4 Simplify (-1 + 1*(1 + sqrt(72))*6 + 1 + sqrt(2) + (sqrt(2) + -1 + sqrt(2))*-5 + 0 + 0)**2. 594*sqrt(2) + 1579 Simplify (5*(sqrt(640)/sqrt(2) + 1*sqrt(80)))/(sqrt(64)*2 + 1*sqrt(4)*4)*5. 25*sqrt(5)/2 Simplify (3 + (-2*sqrt(432)*-2 + sqrt(432) + -1 - 2*(sqrt(432) + 1 + sqrt(432) + sqrt(432))*-4) + -3)**2*-3. -1090083 - 14616*sqrt(3) Simplify ((5*sqrt(78)*2 + 3*(sqrt(78) + -2*sqrt(78)))*-6)/(sqrt(150) + -3*sqrt(150) - sqrt(600)*1)*-4. -42*sqrt(13)/5 Simplify -1 + 3 + ((3*sqrt(35))/sqrt(5) - sqrt(56)/sqrt(72)) + (-1 + sqrt(175))**2*-4 + 5. -697 + 128*sqrt(7)/3 Simplify (3*5*5*-2*sqrt(76))/(sqrt(576) + sqrt(576)*6 - (sqrt(16) - sqrt(784))). -25*sqrt(19)/16 Simplify 2*(4*1*-1*sqrt(304) - (sqrt(304)*-2 - (sqrt(19) + 2)*3))**2. -120*sqrt(19) + 1022 Simplify (-3 + -5 + (sqrt(38)/sqrt(2)*-3 + -2*sqrt(57)/sqrt(3) + (sqrt(304) + sqrt(304)*-1)*-2 + 3)*6)**2. -600*sqrt(19) + 17200 Simplify (sqrt(459)/(3*sqrt(9)*-6))/(-2*sqrt(12)/sqrt(4) + (sqrt(3) - (sqrt(60)/sqrt(5) + sqrt(3))))*6. sqrt(17)/12 Simplify -3 + ((2*sqrt(112))**2*1 - (sqrt(112) - (sqrt(112) - -2*sqrt(112)) - sqrt(112))**2*-3 - ((sqrt(700) - ((sqrt(700) + -1)*2 + sqrt(700)))**2 + -1)). 80*sqrt(7) + 666 Si
{ "pile_set_name": "DM Mathematics" }
erivative of 2*l**3 + 42. Let q(t) = 3*t**2. Calculate q(n(b)). 108*b**4 Let f(v) = -13 + 186*v + 13. Let p(o) = -2*o**2. What is p(f(m))? -69192*m**2 Let z(j) = 9*j**2 + 7*j. Let l(w) = 8*w**2 + 6*w. Let v(o) = -7*l(o) + 6*z(o). Let u(y) be the third derivative of y**4/24 - y**2. Give v(u(h)). -2*h**2 Let n(d) be the first derivative of 3*d**2/2 - 4*d + 7. Let c(p) = 2*p. Calculate c(n(h)). 6*h - 8 Let m(b) = 2. Let o(a) = a - 5. Let v = 7 + -9. Let j(p) = v*o(p) - 5*m(p). Let c(z) = 4*z. Determine j(c(f)). -8*f Suppose 3*k - 7 = 5. Let o(i) = 3*i. Let b(d) = -4 + 4 + 7*d. Let c(t) = k*b(t) - 10*o(t). Let j(h) = h. What is j(c(n))? -2*n Let x(d) = 4*d. Let i(m) = -3*m**2 - m. What is i(x(a))? -48*a**2 - 4*a Let f(s) = -s**3 + 6*s**2 + 2*s - 6. Let m be f(6). Let p(w) = 1 - 1 - w**2 - m*w**2. Let o(t) = 2*t**2. Calculate o(p(d)). 98*d**4 Let d(x) = -2*x**2. Let o(i) = -i + 13. Let k be (-97)/(-11) - 8/(-44). Let c be o(k). Let z(y) = -c*y + 3*y + 3*y. What is d(z(w))? -8*w**2 Let j(f) = -33*f**2 + 14*f + 8*f**2 - 14*f. Let p(s) = -2*s. Calculate j(p(n)). -100*n**2 Let o(j) = -j**2. Let y(u) be the third derivative of u**7/1680 + u**5/20 - 4*u**2. Let k(g) be the third derivative of y(g). Give o(k(s)). -9*s**2 Let a(b) = -b**2. Let k(w) = 1 + 6 - 2*w**2 + 4*w - 5*w - 6*w. Let l(h) = h**2 + 3*h - 3. Let j(t) = 3*k(t) + 7*l(t). Calculate j(a(z)). z**4 Let x(t) = t**2. Let r(y) = -2. Let m(b) = -24*b - 8. Let q(p) = -m(p) + 4*r(p). Give q(x(z)). 24*z**2 Let d(x) be the third derivative of -x**5/60 - 5*x**2. Let u(p) = -2*p - p - 3*p. What is u(d(b))? 6*b**2 Let r(g) = 2*g + 39. Let w(j) = 35*j**2. Calculate w(r(z)). 140*z**2 + 5460*z + 53235 Let a = -2 - -12. Let x = -7 + a. Let k(n) = -n**2 + x*n**2 - n**2. Let j(q) = 2*q**2. What is k(j(l))? 4*l**4 Let p(u) = -235*u**2. Let w(m) = 2*m**2 + 31. Give w(p(b)). 110450*b**4 + 31 Suppose -4*k = -0*k - 132. Let a(d) = d**2 + 2*d - 2. Let z(o) = -5*o**2 - 11*o + 11. Let s(r) = k*a(r) + 6*z(r). Let n(l) = 3 + 2*l - 3. Give n(s(t)). 6*t**2 Let i(q) be the third derivative of 3*q**2 + 0*q**4 + 0*q**3 + 0 + 0*q - 1/30*q**5. Let a(k) = 4*k**2. Give a(i(x)). 16*x**4 Let r(i) = 2*i**2 - i + 1. Let x be r(2). Let w(b) = -5*b + x*b - 4*b. Let m(g) be the first derivative of g**2/2 + 2. What is m(w(q))? -2*q Let q(y) = -15*y. Let m(a) = 7*a. Let l(v) = -7*m(v) - 3*q(v). Let t(h) = -2*h**2 - h**2 + 0*h**2. Determine l(t(z)). 12*z**2 Let g(j) = -5*j**2. Suppose -25 = -10*s + 5*s. Let q(p) = -2*p - s*p - 6*p + 9*p. Determine g(q(i)). -80*i**2 Let l(v) = -3*v + 3*v - 2*v. Let p(m) = -12*m + 21. Let g(q) = 3*q - 5. Let j(i) = 21*g(i) + 5*p(i). Determine j(l(a)). -6*a Let k(t) = 27*t. Let y(d) = -196*d. Calculate y(k(w)). -5292*w Let g(i) = -i**3 - 5*i**2 - 1. Let o be g(-5). Let u(f) = 1. Let n(x) = -3*x - 15. Let d(a) = o*n(a) - 15*u(a). Let w(m) = 2*m**2. Calculate d(w(t)). 6*t**2 Let t(x) = 331*x. Let j(l) = 9*l. Determine j(t(a)). 2979*a Let d(o) = -o**2 - 10*o. Let n(t) = 2*t**2. Give d(n(l)). -4*l**4 - 20*l**2 Let f(v) = -9643*v + 2. Let y(i) = i. Determine y(f(p)). -9643*p + 2 Let s(k) = 2*k. Let z(f) = -305*f**2 + 4. Calculate s(z(d)). -610*d**2 + 8 Let f(i) = -7*i. Let h(m) be the second derivative of -m**7/1260 - m**4/3 + m. Let b(j) be the third derivative of h(j). Calculate f(b(g)). 14*g**2 Let w(o) = -o**2. Let g(c) = 875*c**2. Calculate g(w(m)). 875*m**4 Let k(w) = -w. Let c(m) = 8*m + 11. Let t(r) = 3*r + 4. Let f(v) = 4*c(v) - 11*t(v). What is f(k(n))? n Let i(g) = -15*g. Let b(x) = -x. What is b(i(l))? 15*l Let n(k) be the first derivative of k**3/3 - 2. Let o(v) = -4*v + v + 2*v + 3*v. What is n(o(j))? 4*j**2 Let n(i) = 126*i. Let b(x) = 87*x**2. Determine b(n(f)). 1381212*f**2 Let w(q) = 9*q. Let l(p) = -6*p**2. Give w(l(j)). -54*j**2 Let s(k) = k**2 - 6*k + 12. Let f(y) = y**2 - 7*y + 14. Let r(p) = -6*f(p) + 7*s(p). Let d(j) = 34*j. What is r(d(c))? 1156*c**2 Let b(p) = p**2. Let i(w) = 7*w + 13. Determine b(i(f)). 49*f**2 + 182*f + 169 Let g(h) = -4*h. Let u(m) = 22*m**2. Give g(u(z)). -88*z**2 Let g(f) be the second derivative of -f**4/4 - 19*f. Let i(c) = -2*c. Determine i(g(o)). 6*o**2 Let v(p) = 11*p. Let f(s) be the first derivative of s**5/120 + s**3 + 2. Let t(r) be the third derivative of f(r). What is t(v(x))? 11*x Let a(y) = -35*y. Let o(q) = -q. What is a(o(x))? 35*x Let i(s) = -6*s**2 + 1. Let y(d) = 2*d**2. Calculate y(i(w)). 72*w**4 - 24*w**2 + 2 Let y(z) = -4*z + 4 - 4. Let j(b) = -4 - 687*b + 4 + 690*b. Give j(y(u)). -12*u Let j(p) be the third derivative of -3*p**4/8 + 2*p**2. Let g(m) be the first derivative of 2*m**3/3 + 4. What is g(j(u))? 162*u**2 Let i(k) = -2*k**2 - 7*k. Let a(t) = -t**2 - 4*t. Let z(p) = -7*a(p) + 4*i(p). Let y(l) = 2*l + l - 7*l. What is y(z(f))? 4*f**2 Let b(d) = 3*d. Let j be (-1 + 1 - 0)*-1. Suppose 0 = -2*l + 6*l. Let g(x) = j + l + 2*x**2. Calculate g(b(v)). 18*v**2 Let c(l) be the first derivative of l**3/6 - 2*l - 1. Let i(g) be the first derivative of c(g). Let u(v) = v**2 + v**2 - 3*v**2. What is u(i(k))? -k**2 Let k(g) = 10*g**2. Let x(l) = 22*l. Calculate k(x(v)). 4840*v**2 Let t(u) = 4*u + 3. Let s(j) = j + 1. Let p(n) = 15*s(n) - 5*t(n). Let o(v) = 3*v. Determine p(o(k)). -15*k Let c(x) = 4*x. Let o(p) = 15*p + 2. Let f be o(2). Suppose -l + 28 = 5*g, -l + f = 4*g + 3*l. Let w(z) = 3*z**2 - g*z**2 + 0*z**2. Determine c(w(i)). -8*i**2 Let h(y) = -2*y**2. Let w(k) = 143*k**2. Calculate w(h(g)). 572*g**4 Let m(x) = x**2. Suppose 0*g = g. Let o = -1 + 1. Let y(h) = o + g - h. Give y(m(w)). -w**2 Let u(y) be the third derivative of 0*y + 1/60*y**5 + 0*y**4 + 0*y**3 + 0 + 2*y**2. Let a(x) = -3*x**2. What is a(u(t))? -3*t**4 Let y(m) = 1. Let p(x) = x + 4. Let k(n) = -p(n) + 4*y(n). Let a(c) = 3*c**2 - 2*c**2 - 4*c**2 + 6*c**2. What is a(k(i))? 3*i**2 Let w(z) = -2*z**2. Let p(u) = -4689*u. Give w(p(c)). -43973442*c**2 Let s(t) = 2*t. Suppose -4*h = -3*k + 18, 3*k - 9 = -4*h + 5*h. Let y(o) = 3*o + 2*o - 4*o - k*o. Calculate y(s(l)). -2*l Let p(l) = 85*l**2 - 1. Let m(n) = -3*n. Determine m(p(x)). -255*x**2 + 3 Let j(o) = -o**2. Let b(c) = -c**2 + 9*c. Let w(v) = -v. Let q(t) = -4*b(t) - 36*w(t). Give j(q(r)). -16*r**4 Let b(m) = 18*m**2 - 10*m. Let r(i) = -i**2 + i. Let d(q) = -2*b(q) - 20*r(q). Let v(o) = 2*o. Determine d(v(c)). -64*c**2 Let k(a) = 2*a. Let x(n) = 1092*n**2. Determine x(k(d)). 4368*d**2 Let v(z) = 2*z. Let n(q) = 21*q**2 + 139*q. Determine v(n(s)). 42*s**2 + 278*s Suppose -2*m - 10 = -7*m. Let i(x) = -7*x**m + 65*x - 65*x. Let s(w) = -w. Give s(i(p)). 7*p**2 Let a(f) be the third derivative of f**5/60 + 19*f**2. Let n(i) = -i**2. Determine n(a(c)). -c**4 Let d(w) = -3*w. Let j(l) be the first derivative of -l**2/2 - 6. What is d(j(i))? 3*i Let g(c) = -686*c. Let x(v) = -5*v. What is x(g(n))? 3430*n Let s(l) = -l. Let q(y) = y + 175. Calculate q(s(x)). -x + 175 Let c(r) be the first derivative of r**4/24 - r**2/2 + 2. Let z(l) be the second derivative of c(l). Let o(p) = 2*p**2. Give o(z(a)). 2*a**2 Let o(c) be the first derivative of -5*c**3/3 - 15. Let l(v) = -5*v. Determine l(o(n)). 25*n**2 Let a(l) = 7*l**2. Let b(x) = 2*x**2 - 3*x. Let m be b(2). Let g(z) = -m*z**2 + 0*z**2 + z**2 + 3*z**2. What is a(g(k))? 28*k**4 Let p(j) = -10*j - 3. Let r(f) = -9*f - 2. Let x(u) = -2*p(u) + 3*r(u). Let y(v) = 2*v. Give x(y(k)). -14*k Let k(w) = 5*w**2. Let o(n) = 73*n. What is o(k(a))? 365*a**2 Let z(k) = 2*k. Let y(h) = -h**2 - 8*h. Let p be y(-8). Let v(l) = 0 + 0 + p - 4*l**2. Calculate z(v(s)). -8*s**2 Let a(x) = -20*x**2. Let v(q) = -19*q**2. Determine a(v(g)). -7220*g**4 Let q(n) = 4*n**2 + 11*n. Let h(j) = 26*j**2. Determine q(h(v)). 2704*v**4 + 286*v**2 Let t(g) = -44*g**2. Let m(j) = -123*j**2. Give m(t(c)). -238128*c**4 Let q(j) = -6 + 6 + 3*j + 0. Let d(v) = -3*v**2. Determine q(d(l)). -9*l**2 Let g(l) = 2*l. Let q(t) = 7*t**2. Give g(q(o)). 14*o**2 Let i(u) = u**2. Let k(b) = 516*b. What is k(i(n))? 516*n**2 Let r(x) = -2*x. Suppose -6*m - 4*u + 26 = -3*m, -5*u = -25. Let a(j) = 2*j**2 + 3*j**m - 4*j**2. Give r(a(b)). -2*b**2 Let w(h) = 2*h**2 + 4. Let t(u) = 3*u**2 + 5. Let z(s) = -4*t(s) + 5*w(s). Suppose -2*i + 4*i - 4 = 0. Let v(b) = i*b + 2*b - 2*b + 0*b. Give z(v(j)). -8*j**2 Let y(j) be the third derivative of -j**4
{ "pile_set_name": "DM Mathematics" }
783.796us in milliseconds? 1.783796 How many grams are there in 991873.6kg? 991873600 What is twenty-nine fifths of a microsecond in nanoseconds? 5800 What is thirteen eighths of a litre in millilitres? 1625 Convert 0.8533887 nanoseconds to minutes. 0.000000000014223145 What is 3/5 of a meter in centimeters? 60 How many millilitres are there in 27/2 of a litre? 13500 Convert 6.224146 meters to centimeters. 622.4146 How many kilograms are there in 803263.5mg? 0.8032635 How many meters are there in 13256.35cm? 132.5635 How many nanograms are there in fifteen quarters of a microgram? 3750 What is three sixteenths of a millennium in months? 2250 How many years are there in 6812.026 millennia? 6812026 What is three fifths of a microgram in nanograms? 600 What is three eighths of a litre in millilitres? 375 What is 11/2 of a gram in milligrams? 5500 How many minutes are there in 2977.8927 microseconds? 0.000049631545 How many millimeters are there in 13/5 of a centimeter? 26 What is 51/2 of a gram in milligrams? 25500 Convert 22951.84 micrometers to meters. 0.02295184 How many seconds are there in 4.122082ns? 0.000000004122082 Convert 0.6663196 minutes to nanoseconds. 39979176000 How many kilograms are there in fifteen quarters of a tonne? 3750 What is 0.918702kg in milligrams? 918702 What is fifty-nine fifths of a meter in millimeters? 11800 What is 695686.2 millennia in months? 8348234400 How many centuries are there in 38.91255 decades? 3.891255 What is 5.10596ml in litres? 0.00510596 How many meters are there in 398.8385um? 0.0003988385 What is eleven quarters of a milligram in micrograms? 2750 How many micrometers are there in 21/5 of a millimeter? 4200 How many months are there in five quarters of a century? 1500 How many micrometers are there in one quarter of a centimeter? 2500 How many microseconds are there in 1/4 of a millisecond? 250 What is 3/40 of a millimeter in micrometers? 75 Convert 90.54731m to kilometers. 0.09054731 How many minutes are there in thirty-one fifths of a week? 62496 Convert 46954.49 centuries to millennia. 4695.449 What is 2/15 of a week in seconds? 80640 What is one quarter of a kilometer in meters? 250 How many grams are there in 2/125 of a tonne? 16000 Convert 686.5663 millennia to months. 8238795.6 What is fifty-nine quarters of a milligram in micrograms? 14750 What is 91927.1808ms in weeks? 0.000151996 How many millimeters are there in 74/5 of a meter? 14800 Convert 285.8934 weeks to nanoseconds. 172908328320000000 What is seven halves of a tonne in kilograms? 3500 What is 74/5 of a litre in millilitres? 14800 How many millilitres are there in 475.9267l? 475926.7 What is 2.999254um in millimeters? 0.002999254 What is 6.514753 tonnes in milligrams? 6514753000 How many grams are there in three eighths of a kilogram? 375 Convert 2416.854 years to decades. 241.6854 How many centuries are there in 0.50584 millennia? 5.0584 How many months are there in seventeen halves of a decade? 1020 How many meters are there in 19/4 of a kilometer? 4750 What is one tenth of a kilogram in milligrams? 100000 Convert 26834.226 months to centuries. 22.361855 What is 0.3326912 millimeters in micrometers? 332.6912 What is 651321.8ns in microseconds? 651.3218 How many nanoseconds are there in 27/4 of a microsecond? 6750 What is eighteen fifths of a day in minutes? 5184 What is 4.472893 micrometers in meters? 0.000004472893 How many millilitres are there in 7/8 of a litre? 875 How many minutes are there in one sixth of a week? 1680 What is 24.8959ms in microseconds? 24895.9 What is 29/5 of a litre in millilitres? 5800 How many millilitres are there in thirteen fifths of a litre? 2600 What is 5/8 of a kilometer in centimeters? 62500 What is 3.794166um in millimeters? 0.003794166 What is 0.6891575 centimeters in meters? 0.006891575 How many micrometers are there in six fifths of a centimeter? 12000 How many millilitres are there in 26/5 of a litre? 5200 What is 1/5 of a meter in centimeters? 20 What is 99447.14nm in millimeters? 0.09944714 How many centimeters are there in 7/16 of a kilometer? 43750 Convert 547634.52 nanoseconds to hours. 0.0000001521207 What is 0.4131392 decades in years? 4.131392 How many milligrams are there in 13/4 of a gram? 3250 What is 7613.549 grams in tonnes? 0.007613549 What is thirteen quarters of a milligram in micrograms? 3250 What is seven sixths of a year in months? 14 How many nanograms are there in 14.38736kg? 14387360000000 What is 13/5 of a decade in months? 312 What is 13/4 of a millennium in years? 3250 How many millilitres are there in 53/5 of a litre? 10600 How many decades are there in twenty-nine halves of a century? 145 How many tonnes are there in 6090.63kg? 6.09063 How many meters are there in 47/4 of a kilometer? 11750 How many minutes are there in 3/28 of a week? 1080 How many decades are there in 13/5 of a millennium? 260 What is 677507.9 litres in millilitres? 677507900 What is 85.32449mg in kilograms? 0.00008532449 How many kilometers are there in 1860.16nm? 0.00000000186016 How many decades are there in 6974.496 millennia? 697449.6 How many litres are there in 251.7355ml? 0.2517355 How many seconds are there in 881073.2 minutes? 52864392 What is 823155.9 kilograms in nanograms? 823155900000000000 How many kilograms are there in 741.487ng? 0.000000000741487 How many millilitres are there in 6/5 of a litre? 1200 How many millimeters are there in three eighths of a meter? 375 Convert 0.162831ns to seconds. 0.000000000162831 How many micrograms are there in 1/10 of a gram? 100000 What is 3/32 of a tonne in grams? 93750 How many nanograms are there in 804.0707mg? 804070700 How many months are there in 2.946921 centuries? 3536.3052 How many hours are there in 2.0752785 seconds? 0.00057646625 How many grams are there in 6430.113 micrograms? 0.006430113 What is 12/25 of a milligram in micrograms? 480 What is 6.881572 litres in millilitres? 6881.572 What is twenty-nine fifths of a milligram in micrograms? 5800 Convert 1.652604 nanoseconds to minutes. 0.0000000000275434 What is 54/5 of a kilogram in grams? 10800 What is ten thirds of a decade in months? 400 What is 1.260221 grams in kilograms? 0.001260221 How many minutes are there in 3/7 of a week? 4320 How many months are there in 11/10 of a century? 1320 What is 1/4 of a millennium in years? 250 How many millilitres are there in fifty-nine fifths of a litre? 11800 Convert 5831757.9 microseconds to hours. 0.00161993275 How many millilitres are there in 13/5 of a litre? 2600 How many years are there in 524.5851 centuries? 52458.51 Convert 0.4627886 weeks to days. 3.2395202 Convert 13.25934 minutes to milliseconds. 795560.4 How many millilitres are there in one fifth of a litre? 200 How many centuries are there in 8.805457 millennia? 88.05457 How many decades are there in twenty-one fifths of a millennium? 420 How many centuries are there in 0.188139 decades? 0.0188139 How many millilitres are there in six fifths of a litre? 1200 What is twenty-one fifths of a century in months? 5040 How many millimeters are there in 9960.92 meters? 9960920 How many millimeters are there in 1/20 of a meter? 50 What is 49824.24 grams in nanograms? 49824240000000 How many milligrams are there in 487.97g? 487970 What is nineteen quarters of a litre in millilitres? 4750 How many milligrams are there in 66.27742 micrograms? 0.06627742 What is 70809.79 litres in millilitres? 70809790 How many millilitres are there in 134.066 litres? 134066 Convert 763089.7 decades to months. 91570764 What is thirteen fifths of a litre in millilitres? 2600 What is nine sixteenths of a century in months? 675 What is 9/10 of a micrometer in nanometers? 900 Convert 834.5996ng to micrograms. 0.8345996 How many litres are there in 85.57407ml? 0.08557407 Convert 9.434646 days to minutes. 13585.89024 Convert 71501.83 millennia to years. 71501830 What is nine fourteenths of a week in hours? 108 What is 9423.407 kilograms in tonnes? 9.423407 How many kilograms are there in 85668.4 grams? 85.6684 What is 15/4 of a milligram in micrograms? 3750 What is five quarters of a century in months? 1500 Convert 551.6478 centimeters to nanometers. 5516478000 What is 17/10 of a milligram in micrograms? 170
{ "pile_set_name": "DM Mathematics" }
- 266 - 130. Suppose -u = 2*u - p. Calculate the remainder when u is divided by 7. 5 Let t = -50 - -95. Suppose 4*k + 3 = a, 2*a + a + 15 = 0. What is the remainder when t is divided by 10/k + 22 + -5? 9 Suppose u - r - 35 = 0, -2*u - 70 = -5*u - 4*r. Calculate the remainder when 117 is divided by u. 27 What is the remainder when 94 is divided by -79*(-9)/12*8/6? 15 Suppose 0 = -3*u + 6, 0 = 4*y + 7*u - 4*u - 82. What is the remainder when 455 is divided by y? 18 Let j = -50 - -53. Suppose 14 = -j*k - 1, y - 50 = 5*k. What is the remainder when y is divided by 4? 1 Suppose -2*q = 5*o - 192, 10*q - 9*q - 116 = -3*o. Suppose 0 = 6*s - 454 - 20. What is the remainder when s is divided by o? 39 Let n = -148 - -165. Suppose -4*b + 9*b + 2*m - 337 = 0, 2*b = 4*m + 130. Calculate the remainder when b is divided by n. 16 Let b(n) = -2*n + 280. What is the remainder when b(-44) is divided by 10? 8 Let o be (-14)/(-35) + (-26)/(-10). Let h be o/6*-1*0. Suppose h = -13*w + 12*w + 14. What is the remainder when 55 is divided by w? 13 Let s(g) = -10*g - 14. What is the remainder when 47 is divided by s(-2)? 5 Let s = -664 - -687. Calculate the remainder when 62 is divided by s. 16 Suppose -10*l - 756 + 1256 = 0. What is the remainder when 235 is divided by l? 35 Let b(a) = -a**2 + 5*a + 2. Let p be b(5). Suppose c + p*w + 0*w = 6, -15 = -4*c - 5*w. What is the remainder when 23 is divided by (c - 13/2)*-2? 10 What is the remainder when 112 is divided by 2/8 - (1190/8)/(-5)? 22 Suppose 3*x + 4*d = 44, x - 3*d - 6 + 0 = 0. Let b(p) = -p**3 - 5*p**2 - 6*p - 8. What is the remainder when b(-5) is divided by x? 10 Suppose -2*d = 2*m - 118, -5*d + m + 277 = -0*m. Let r = 32 + -21. Suppose -3*t = -d + r. Calculate the remainder when 59 is divided by t. 14 Let s(k) be the second derivative of 2*k + 7/12*k**4 - 1/2*k**3 - 1/2*k**2 + 0 - 1/20*k**5. What is the remainder when s(4) is divided by 13? 9 Let a = -291 - -341. Let z(i) = -6*i**3 - 2*i - 3. Let c be z(-2). Let j = c - 31. What is the remainder when a is divided by j? 14 Suppose -55 = 12*c - 7*c. What is the remainder when 26 is divided by (c/(11/(-18)))/2? 8 Suppose 2*g - 31 = -21. Calculate the remainder when 15 is divided by g. 0 Suppose -53*a - 1946 = -167*a - 464. Let q(w) = -6*w**3 - 3*w**2 - w - 2. Calculate the remainder when q(-2) is divided by a. 10 Suppose 15 + 525 = 6*g. What is the remainder when g is divided by 54? 36 Let p = 311 - 302. What is the remainder when 239 is divided by p? 5 Let j = 347 - 328. What is the remainder when 27 is divided by j? 8 Let l(k) = 4*k + 0*k - 2*k + 6*k - 11. Calculate the remainder when l(4) is divided by 4. 1 What is the remainder when 122 is divided by -8 + 14 + 10 + 2/1? 14 Suppose -35*z = 6*z - 23493. Calculate the remainder when z is divided by 32. 29 What is the remainder when (225/(-10))/5*-26 is divided by 8? 5 Let a = -207 - -788. Calculate the remainder when a is divided by 73. 70 Let b(t) = -3*t - 2. Let f be b(-6). Let u = -10 + f. Let o(z) = -19*z - 167. Calculate the remainder when o(-10) is divided by u. 5 Suppose -2*o - y + 3 = -o, -5*o + 4*y = -24. Calculate the remainder when 73 is divided by (-2)/(6/(-111)) - o/(-4). 35 Suppose 5*k + 0*k - 545 = -5*u, -543 = -5*k - 4*u. Calculate the remainder when k is divided by 22. 19 Suppose 13*o - 4*o - 18 = 0. Suppose x + 0*x + o*n = 149, 5*x = -3*n + 773. Calculate the remainder when x is divided by 20. 17 Let g = -1078 + 1210. Suppose o = 3*l + 45, -3*l + 0*l = o - 45. What is the remainder when g is divided by o? 42 What is the remainder when 142 is divided by (3 + -9)*-2*(-3)/(-2)? 16 Suppose -2*l - 3*h + 9 = 2*h, 0 = 3*h - 3. Calculate the remainder when l is divided by 2. 0 What is the remainder when (60/70)/((-2)/(-322)) is divided by 47? 44 Let u = 103 - 74. What is the remainder when u is divided by (-11)/(-4) + -2 + 1271/124? 7 Suppose -3*h = t - 2*t + 19, 2*t - 2 = 0. Suppose -7*w + 61 + 9 = 0. What is the remainder when 141*(4/h - -1) is divided by w? 7 Suppose -f - 25 = 5*p, -5*f - 2*p - 24 = 9. What is the remainder when (f/(20/(-176)))/2 is divided by (-1 + -7)*(-3)/4? 4 Let g be 168/(-20) - 4/(-10). Suppose -11*a + 48 = -10*a. What is the remainder when a is divided by (-2)/(-4) + (-196)/g? 23 Let s be 6/24 + 150/8. Suppose s + 23 = 6*k. What is the remainder when 23 is divided by k? 2 Let i(q) = -4*q + 2. Let h be i(-8). Let o = h + 47. What is the remainder when o is divided by 28? 25 Calculate the remainder when 232 is divided by (-39)/(-7) - (-36)/(-63). 2 Let w(c) = -3*c - 7. Let x be w(-4). Suppose -r + i = 0, -3*i = x*r - r - 14. What is the remainder when 4 is divided by r? 0 Suppose 2*t = -4*u, 4*u + 4*t - t = 0. Suppose u = -2*z - 3*z + 80. What is the remainder when 60 is divided by z? 12 Let t = 10 - 8. Let p = t + 0. Suppose 0*m - p*m + 68 = 0. What is the remainder when m is divided by 9? 7 Suppose 3*m + 30 = 3*n, -2*m + 18 = 5*n + m. Suppose 6 + n = 2*d. Suppose -d*w + 296 - 2 = 0. What is the remainder when w is divided by 17? 15 Let x(c) = 2*c**3 - 2*c**2 - 16*c + 23. Calculate the remainder when x(6) is divided by 75. 62 Let z(o) = o**3 - 2*o**2 - o + 29. Suppose -2*t - 4*c - 8 = 3*t, -4*t - 4*c - 8 = 0. What is the remainder when 113 is divided by z(t)? 26 Let w = -447 - -466. Calculate the remainder when w is divided by 4. 3 Suppose 3*l - 13 = -5*n, -l - 33 = -5*n + l. Let w(d) = 21*d + 1. What is the remainder when w(n) is divided by (-18)/(-10)*(2 - -13)? 25 Suppose -3*z - 2*p + 152 = 2*p, -5*p - 182 = -4*z. Let t = z + 29. Calculate the remainder when t is divided by 20. 17 Let h = -795 + 813. What is the remainder when 106 is divided by h? 16 Calculate the remainder when (-6)/8*3*-124 is divided by 24. 15 Suppose c - 4*n + 17 = 0, 0 = -5*c - n + 5*n - 5. Calculate the remainder when 28 is divided by c. 1 Let m(x) be the first derivative of 3*x**2/2 + 13*x - 17. Suppose 3*o - 2*a - 206 = -o, -5 = a. Calculate the remainder when o is divided by m(0). 10 Suppose 40*u = 65*u - 200. Calculate the remainder when 22 is divided by u. 6 Let w(h) = h**2 - 6*h + 11. Let l be w(5). Suppose -l*z + z + 105 = 0. Calculate the remainder when z is divided by 9. 3 Suppose w - 6*w - 5*f = -200, 3*f - 157 = -4*w. Suppose -13 = -2*v + 9. What is the remainder when w is divided by (v - -4) + -4 + 2? 11 Suppose -2*s + 6 = -4. Suppose 30 = s*z + 2*t, 3*z - 9 = -2*t + 9. What is the remainder when 29 is divided by z? 5 Calculate the remainder when 404 is divided by 140/2 - 8/(-56)*-14. 64 Let n(c) = -7*c - 118. What is the remainder when n(-30) is divided by 36? 20 Let u(s) = -3*s**2 - 12*s + 12. Let m be u(-5). Calculate the remainder when 39 is divided by 79/4 + m*2/(-24). 19 Let x(h) = 5*h - 3*h - h - 2*h - 9. What is the remainder when 31 is divided by x(-17)? 7 Suppose 0 = 5*o - 185 - 90. Suppose 302 = 13*h + o. Calculate the remainder when 150 is divided by h. 17 Suppose 472 = 106*q - 1224. What is the remainder when 382 is divided by q? 14 Let c(a) = -151*a**3 + 2*a**2 + 2*a + 1. Let l be c(-1). Suppose -10 = -t - t. Suppose l = -m + t*m. What is the remainder when m is divided by 13? 12 Let r = 68 + -36. Suppose -2*g + r + 52 = 0. Let u = 12 - -3. Calculate the remainder when g is divided by u. 12 Calculate the remainder when 55 is divided by (4 - -56)/3*1. 15 Suppose -3*o = 2*o + 5, -2*m = o + 217. Let p be (0 - 5*-1) + 1. What is the remainder when (28/p)/((-24)/m) is divided by 11? 10 Suppose 2 = -2*f + 12. Suppose 4*i - 5*i = f*j - 265, -235 = -5*j + 5*i. Calculate the remainder when j is divided by 9. 7 What is the remainder when (-1107)/(-6) + (-1)/(-2) is divided by 48? 41 Suppose -10*p - 3 = -43. Suppose -p*o - 89 = -313. Calculate the remainder when o is divided by 15. 11 Let g(s) = s**2 + 7*s. Let b be g(-5). Let k = b - -19. What is the remainder when 16 is divided by k? 7 Suppose -2*g + 50 = -l + 19, 0 = -2*g + 2*l + 32. Let f be (2 + -3 + 0)*-18. Suppose -c = c - 3*r - f, -2 = r. What is the remainder when g is divided by c? 3 Let i(h) = -2*h**3 - 2*h**3 + 3*h**3 - 9*h**2 - 12 - 5*h. Let o(v) = 26*v**2 + 226*v - 8. Calculate the remainder when o(-9) is divided by i(-9). 31 Suppose 113 = 2*g - 3*s, 5*g + 4*s - 79 = 146. Calculate the remainder when 440 is divided
{ "pile_set_name": "DM Mathematics" }
d). Let f(p) = 9*p**2. Calculate k(f(y)). 9*y**2 Let x(z) = 2*z. Let n(c) = 85 + 29*c - 156 + 71. What is n(x(a))? 58*a Let n(z) = -22*z**2 - 5*z. Let j(m) be the second derivative of 595*m**4/12 + 68*m**3/3 + 8*m. Let a(o) = 5*j(o) + 136*n(o). Let x(v) = -v. Determine a(x(q)). -17*q**2 Let t(b) = 4*b - 10. Let r(c) = -5*c + 4*c + 0*c. Determine r(t(l)). -4*l + 10 Let h(o) be the first derivative of -o**6/90 + 4*o**3/3 - 2*o**2 - 39. Let w(m) be the third derivative of h(m). Let v(q) = 3*q. Give v(w(a)). -12*a**2 Let r(c) = -40*c**2 - 2*c. Let i(h) = 2*h - 6. Let q(x) = x - 4. Let f(w) = 2*i(w) - 3*q(w). Calculate f(r(d)). -40*d**2 - 2*d Let u(s) = 9*s. Let z(q) be the second derivative of 23*q**4/12 + q - 24. Determine z(u(x)). 1863*x**2 Let o be ((-1)/(-2))/((-1)/(-6)). Let f(j) = 4*j - 4 - 1 - 10 - o*j. Let g(t) = t**2. Calculate f(g(i)). i**2 - 15 Let i(w) = -2*w**2. Let g(k) = -4*k**2 - 23 - 21 - 18*k**2 + 45 - 4*k**2. What is i(g(c))? -1352*c**4 + 104*c**2 - 2 Let w(n) = n. Let q = -7 - -9. Let y be 0 + 4*1/q. Let a(l) = -1 + 10*l**2 - 11*l**y + 1. What is a(w(r))? -r**2 Let q(k) = 8*k**2. Let b(m) = -61*m + 294. Give b(q(s)). -488*s**2 + 294 Let p(a) = 18*a. Let o(l) be the first derivative of 13*l**2/2 - 132. What is p(o(w))? 234*w Let h(i) = 3*i. Let c(p) = -7*p. Let f(z) = -2*c(z) - 5*h(z). Let g(b) be the first derivative of 2*b**2 - 2. Determine g(f(o)). -4*o Let w(r) = 11*r**2 - 13*r - 39. Let u(a) = 5*a**2 - 6*a - 18. Let i(y) = -13*u(y) + 6*w(y). Let d(o) = -208*o**2. Give i(d(b)). 43264*b**4 Let m(r) = -6*r**2. Let f(c) = 509*c. Determine f(m(l)). -3054*l**2 Let v(c) = -15*c. Let m(i) = -19*i - 12. Let d(z) = 18*z + 10. Let a(w) = -6*d(w) - 5*m(w). What is a(v(u))? 195*u Let l(p) = -4*p**2 + p**2 + 4*p**2. Let v(z) = -2*z - 4. Let q(w) = -w**2 + 13*w + 26. Let s(x) = -6*q(x) - 39*v(x). Calculate s(l(m)). 6*m**4 Let w(o) = 24 - o**2 - 42 - 223. Let u(h) = 2*h. Calculate u(w(m)). -2*m**2 - 482 Let v be (-5)/(-2 + -3)*5. Suppose a - v = -2. Let t(w) = w + 4*w - 3*w - a*w. Let c(z) = -16*z. Calculate c(t(s)). 16*s Let c(b) be the third derivative of b**5/15 - 343*b**2. Let l(o) = 2*o**2 + o**2 - o**2. Calculate c(l(a)). 16*a**4 Let d(a) = -a**2. Let n(f) be the third derivative of f**6/72 + f**4 - 18*f**2. Let j(x) be the second derivative of n(x). Calculate j(d(b)). -10*b**2 Let z(i) = -6*i - 15. Let o(t) = -t - 2. Let p(x) = -15*o(x) + 2*z(x). Let b = 46 - 44. Let n(j) = -8*j**2 - 2*j**2 + 10*j**2 - j**b. Calculate p(n(w)). -3*w**2 Suppose -5*c = -182 + 2. Let u(m) = 40 + c - 5*m - 76. Let f(t) = -2*t**2. Give f(u(s)). -50*s**2 Let a(z) = 31*z. Let s(n) = -782*n**2. Determine s(a(m)). -751502*m**2 Let c(u) = -6*u. Let j(r) = -r. Let f(h) = -2*c(h) + 10*j(h). Let i(d) = 4*d - d + 4*d - 5*d. Determine i(f(t)). 4*t Let y(u) = -5*u**2 + 3*u**2 - 214 + 214. Let p be 45/(-6)*28/(-5). Let x(f) = -42 + p + 3*f. What is x(y(l))? -6*l**2 Let v(j) = -2*j. Let k(g) = 4*g**2 + 6*g - 2. Let u be k(-2). Let m(c) = 136*c - 8*c**u + 24*c**2 - 138*c. Determine v(m(i)). -32*i**2 + 4*i Let v(j) be the first derivative of j**4/12 - 2*j - 1. Let y(r) be the first derivative of v(r). Let h(d) = 15*d - 3*d - 6*d - 5*d. What is y(h(f))? f**2 Let z(q) = 13*q. Let k(m) = -2*m. Let d(y) = -5*y + 6. Let g(l) = -4*l + 5. Let b(f) = -5*d(f) + 6*g(f). Let x(s) = -3*b(s) - 3*k(s). What is x(z(t))? 39*t Let j(v) = -15*v**2. Let k(c) = -612*c + 1. Calculate k(j(d)). 9180*d**2 + 1 Let v(b) = -2*b**2. Let x(f) be the third derivative of f**6/20 + 5*f**3/2 + 22*f**2. Let y(q) be the first derivative of x(q). Give y(v(g)). 72*g**4 Let t(h) = 2*h**2. Suppose -4*n - 4 = -3*n. Let g(k) = -k. Let z(u) = -u. Let m(x) = n*z(x) - g(x). What is t(m(p))? 50*p**2 Let i(n) be the first derivative of 67*n**3/3 - 111. Let y(s) = 2*s**2. Determine i(y(t)). 268*t**4 Let n(w) = -w. Let z(v) = 62126*v. Give n(z(a)). -62126*a Let q(z) = 22*z. Let y(s) = -5727*s**2 + 2*s. What is y(q(a))? -2771868*a**2 + 44*a Let k(n) = 9830806*n. Let s(m) = 2*m**2. Calculate k(s(a)). 19661612*a**2 Let c(w) = -71*w + 7. Let o(z) = -254*z**2. Give c(o(n)). 18034*n**2 + 7 Let h(p) = p + 3 - 2 - 1. Let a(s) = -5*s. Let t(y) = -5*y. Suppose -12 = -2*u - 2*u. Let k(l) = u*t(l) - 2*a(l). Give k(h(x)). -5*x Let a(c) = c**2 - c**2 - 13*c**2. Let q(l) = 2*l**2 - 3*l + 9*l - 6*l. Give a(q(g)). -52*g**4 Let b(l) = -3*l**2. Let v(a) = 1134058*a. What is b(v(k))? -3858262642092*k**2 Let u(q) = q**2. Suppose -30 = -85*f + 75*f. Let g(m) be the third derivative of 0*m + 1/6*m**4 + 0*m**f + 0 + 12*m**2. Calculate u(g(h)). 16*h**2 Let s(i) = -35082*i**2 + 7*i - 2. Let j(k) = -k. Determine j(s(f)). 35082*f**2 - 7*f + 2 Let l(g) = -3*g**2. Let y(t) = 6 - 6 + 471*t - 226*t. Determine l(y(m)). -180075*m**2 Suppose -4*p + 24 = 8. Let n be p/(-14) + 128/56. Let v(h) = 5*h**2 - 6*h**2 - h**n. Let y(l) = 2*l. What is v(y(s))? -8*s**2 Let v(f) = -771*f + 250*f + 253*f + 266*f. Let t(o) = -10*o - 13*o - 16*o. What is t(v(i))? 78*i Let i = -9 - -11. Let c(n) = -3*n + 4*n**i - 13*n**2 + n + 3*n**2. Let u(l) = l. What is c(u(z))? -6*z**2 - 2*z Let x(s) be the third derivative of -7*s**5/60 - s**2 + 13*s. Let b(i) = i. Calculate x(b(k)). -7*k**2 Let d(f) = -f**2. Let w(q) = 3197*q**2 - 3*q. What is w(d(x))? 3197*x**4 + 3*x**2 Suppose -5*q + 3*q + 4 = 0. Suppose -d - 8 = -q*d. Let u(l) = l**2 - 8 - 2*l**2 + d. Let z(i) = 2*i**2. Determine u(z(j)). -4*j**4 Suppose -13*r + 20*r - 14 = 0. Let x(b) be the third derivative of 0*b + 0*b**3 + b**r + 1/8*b**4 + 0. Let w(u) = -u**2. Give x(w(o)). -3*o**2 Let r(h) = 3*h**2 - 152316*h. Let i(z) = z**2. Determine r(i(m)). 3*m**4 - 152316*m**2 Let i(y) = -2*y**2. Let q(z) = 2 + 23 - 3 + 0*z + z. Calculate q(i(f)). -2*f**2 + 22 Let c(d) = -14*d**2. Let n(y) be the second derivative of 4*y**3/3 - 62*y. Calculate n(c(u)). -112*u**2 Let a(z) = -3*z**2. Let p(s) = -785*s + 388*s + 374*s. Give p(a(i)). 69*i**2 Let o(g) = -2*g**2. Let l(d) = -105*d + 3. Let p(s) = -1370*s + 40. Let j(n) = -40*l(n) + 3*p(n). Give j(o(w)). -180*w**2 Let m(l) be the third derivative of -l**5/30 - 220*l**2. Let x(y) = 276*y**2. What is x(m(z))? 1104*z**4 Let m(k) = 59 + k - 59 + k. Let q(v) = -154*v + 187. Let c(i) = 8*i - 10*i - 3*i + 6. Let o(t) = -187*c(t) + 6*q(t). Give m(o(r)). 22*r Let v(l) = -7204888*l. Let a(z) = -2*z**2. Determine a(v(i)). -103820822185088*i**2 Let r(c) be the first derivative of -c**2 + 19. Let f(z) = 24*z. Determine r(f(q)). -48*q Let z(c) = 3*c - 9. Let f(u) = -2*u**2 + 343*u. Give f(z(j)). -18*j**2 + 1137*j - 3249 Let g(t) = 2*t. Let a(v) = 6*v - 1. Suppose 5*o = -5*f - 40, 2*o - 4 = f + 2*f. Let s(n) = -5*n + 1. Let z(c) = f*a(c) - 6*s(c). What is g(z(x))? 12*x - 4 Suppose 3*p + 4*d = 4, 5 + 9 = p - 5*d. Let j(c) = -c + 1. Let h(n) = n**2 + n - 1. Let u(m) = p*h(m) + 4*j(m). Let v(f) = 5*f**2. Determine v(u(o)). 80*o**4 Let f(z) be the second derivative of z**4/6 + 6*z. Suppose u = 2*c + 190 + 10, 0 = -4*u + 3*c + 800. Let k(y) = 7*y**2 + 200*y - u*y. Determine f(k(n)). 98*n**4 Let v(u) = -4*u**2 + 2. Let g(b) = 4 + 229*b - 450*b - 4 + 226*b. Determine g(v(a)). -20*a**2 + 10 Let g(y) = 128*y**2. Let v(s) = 1152*s**2. Give g(v(w)). 169869312*w**4 Let g(j) = -2370*j - 41. Let x(q) = -6*q. Calculate g(x(d)). 14220*d - 41 Let b(m) = -m. Let o(w) = -2*w**2 - 6*w + 2. Let g be o(-3). Let z(c) = 3*c**2 + g*c**2 - 3*c**2 - 3*c**2. Give b(z(h)). h**2 Let u(c) = -7*c. Let g(a) = -12*a - 30. Let r(v) = 7*v + 15. Let z(n) = 4*g(n) + 7*r(n). Give u(z(t)). -7*t + 105 Let p(t) = t**2 + 7*t**2 + 0*t**2. Let z(g) = -19*g**2 + 22 + 20*g**2 - 22. Determine z(p(j)). 64*j**4 Let p(z) = z**2 - 4*z + 3. Let i be p(4). Let t(q) = 3*q + 2*q - i*q. Let v(w) be the second derivative of -w**4/2 - 7847*w. Calculate t(v(u)). -12*u**2 Let m(c) = -11479*c**2. Let h(i) = 5*i**2. Determine h(m(f)). 658837205*f**4 Let p(g) = g**2 - 3*g**2 - 4*g**2 - 2*g**2. Let m(t) = -t - 1. Let x(z) = -1. Suppose -4*h + 4 = -0*h. Let d(a) = h*x(a) - m(a). Give d(p(k)). -8*k**2 Let z(v) = 4*v + 3. Let c(w) be the second derivative of -2*w**3/3 - 227*w. What is z(c(d))? -16*d + 3 Let l(k) = -36*k**2. Let w(x) = 18*x + 8. Give w(l(m)). -648*m**2 + 8 Let d(p) = -161*p**2. Let f(k) = 443*k**2. What is d(f(v))? -31596089*v**4 Let i(q) = -10*q**
{ "pile_set_name": "DM Mathematics" }
r for r. 0 Let n = 49 + -103. Let p = n + 54. Suppose -m - 8*m + 27 = p. Solve 20 = 5*k - 5*s, -m*k - 4*s = -11 - 1 for k. 4 Let s = 1053 - 1039. Solve 5*w + 5*b + 24 - s = 0, 2*b = -3*w - 3 for w. 1 Let b(p) = -9*p**2 + 15*p + 15. Let q be b(-1). Let v(o) = -2*o**3 - 17*o**2 + 8*o + 3. Let f be v(q). Solve 0*i + 28 = -4*i - 3*h, -f = 3*h for i. -4 Let c = 69 - 23. Suppose 4*g - c = -3*m, 5*m + 40 = 4*g + 10. Suppose 2*s - 7*t = -3*t - g, -2*t - 10 = -4*s. Solve -s*x + 16 = -2*j, x - 3*x = -2*j - 4 for j. 2 Let a = 9 - 3. Suppose -5*n + a = -9. Let v be 0/(-2*(-1 - -2)). Solve -n*y + v*g + 4 = 2*g, -3*g = -15 for y. -2 Let k be ((110/3)/5)/((-8)/(-24)). Solve -4*m - 16 = s, k = -m - 4*s + 3 for m. -3 Let z be -2 - 3 - 80/(-4). Let v(t) = 8*t - 18. Let a be v(z). Let r = -102 + a. Solve -3*m + 3*w - 2*w - 10 = r, 3*m + 4*w = 10 for m. -2 Suppose -15 = 58*v - 53*v, -5*c + 18 = -v. Solve 0 = 2*d - 1 - 7, d - 1 = -c*o for o. -1 Let l = 45827 + -45823. Let s be (1 - -1)/(6/9). Solve -s*n + 2 = l*c - 9, 4*c - 7 = n for c. 2 Let f(v) = -9*v - 9. Let s(b) = -2*b - 2. Let o = -57 + 52. Let i(n) = o*f(n) + 24*s(n). Let q be i(-3). Solve -2*u = 3*p - 2, -22 = -2*p + 4*u + q for p. 4 Let m be (-15)/(-2)*(-48)/(-36). Let o be (15/m)/(3/10). Suppose -14 = -o*p + 3*t + 8, 0 = 3*p - 4*t - 11. Solve -21 = -5*v + 4*w, -w + 0 + 1 = p*v for v. 1 Let n(y) = -4*y**2 - 364*y + 372. Let p be n(-92). Solve -12*z + 16*z = p*d - 12, -d = -3*z - 7 for d. 1 Suppose 5*d = 20, 5*o + 21 = 4*d - 15. Let l be (-1)/3 + o*(-100)/48. Suppose -q - c = 2 - l, 0 = 4*q + 2*c - 22. Solve 3*m - 9 = 0, -4 = q*s - 2*m + 17 for s. -3 Suppose 17*n = 16*n - 42. Let a be (-4)/(-7)*n/(-6) - 1. Solve z = d - 3*d - 9, -5*d = -a*z - 5 for d. -2 Let o = -7 - -15. Suppose 12 = o*q - 4*q. Let l = -308 - -340. Solve q*m + l = -5*s + s, 0 = -3*s - m - 19 for s. -5 Let w be (-392)/(-84) - (2 + (-12)/9). Solve -3*c = -5*f - 31, -w*c + 9 = -5*f - 24 for f. -5 Let g = 279 + -219. Let j = -46 - -101. Let s = g - j. Solve 5*u = -s*c, 4*c = u - 2*u - 6 for c. -2 Let y(u) = 4*u**2 + 56*u + 1. Let k be y(-17). Let i = k - 205. Solve 2*b - 1 = -4*o - 3, i = -5*b + 2*o + 7 for b. 1 Let m be 0*(-2)/2*1. Suppose 16 = -18*r - 56. Let d be (3 - (-1 + r)) + 17. Solve -s - 7 = w, m = 5*w + 2*s + s + d for w. -2 Suppose 2*m - 3*h - 12 + 4 = 0, 12 = -3*h. Let i be (-7)/m*(6 + -4) - 3. Solve 5 = i*v - 2*x + 1, -8 = -5*v + x for v. 2 Let y be (1 - -2) + 19/19. Suppose t = -g + 9, y*t + 29 = 4*g + 1. Solve 4*w + 0*n - 3*n = -g, 5*n + 6 = -3*w for w. -2 Let n(s) = 45*s - 3*s**3 - 10*s**2 + 6*s - 15*s**2 - 4*s**3 - 81 + 6*s**3. Let p be n(-27). Solve 5*j - 4*k = k + 45, p = -5*j + 2*k + 33 for j. 5 Suppose 3*t + 594 - 702 = 0. Suppose 4*b - 6 = -z, 2*b + t*z - 10 = 39*z. Solve -v - 2*a - 2*a = 16, 3*v - b*a - 8 = 0 for v. 0 Let b(c) = -2*c - 14. Let s be b(-8). Let j be (5/s)/(13/26). Solve 2*x + 2*p - 6 = -0, 0 = -j*x - p + 7 for x. 1 Suppose 2*o - 23 = 5*h, 22*o - 23*o - 2 = 2*h. Solve 5*q - 9*v + 10*v + o = 0, -4*q + v = 5 for q. -1 Let f(q) = 62*q + 7013. Let c be f(-113). Solve 4*i - 16 = 0, 9 = -2*y - 2*i + c for y. -5 Suppose 0 = -316*a + 294*a + 66. Solve -2*y - 84*s + 4 = -80*s, -a*s = -3 for y. 0 Let n = 190 - 189. Let v = 62 - 61. Let m be (1/v)/(((-3)/3)/(-4)). Solve 5*w - 9 = 3*s, w - 3*s - n = -m for w. 3 Let p be (-4 + 5)/((-1)/3*1). Let z be 14 + -11 - 2*p/(-2). Solve 0 = s - 3, z = -2*a - 3*s + 5 + 4 for a. 0 Suppose 0 = -3*u - 4*a + 48, 45*u + 42 = 48*u + 5*a. Solve 4*p + u = 5*z, -18*z + 23*z = 5*p + 25 for p. -1 Let z(a) = 30*a - 56*a + 28*a + 21. Let h be z(-9). Suppose w + o + 1 - 7 = 0, 0 = -w + 2*o + 3. Solve -2*p - h*d - 7 = 2*p, -w = -5*p - d for p. 2 Let v be ((-9)/(-24))/(2/16). Suppose 20 = 3*z - d, -v*z = -z + 3*d + 5. Suppose -z*q + 17 = 2. Solve -2*i + t + 6 = 1, q*i = 4*t + 15 for i. 1 Suppose -5*g = 2*x + 12, 1094*x - 1092*x + g = 4. Solve -61*q + 65*q = -x*k - 8, 4*q - k + 18 = 0 for q. -4 Let m = -283 - -285. Suppose 4*r - m*k = 0, 11*r + 2*k = 8*r + 14. Solve 2 = -5*y + 4*q, -4*y + q - 8 + r = 0 for y. -2 Suppose -27*i = -41*i + 28. Let h = -667 - -669. Solve -f - h*f + b = 13, -i*b = -2 for f. -4 Let j = 2891 + -2887. Solve j*t - 5 = -5*d + 11, -t + 4 = -3*d for t. 4 Let t be (-14)/(-9) + -29 + (-11925)/(-405). Suppose -3*f = -f - 4. Solve -f*l = -4*c + t*l, -c - 2*l = -15 for c. 5 Let j = -36 - 3. Let q be j/18 + (-5)/(-30). Let h be -3 + 42/12 + q/4. Solve h = -4*u + 3*a - 1 + 2, 4*u = -2*a + 6 for u. 1 Let x = -6 + 38. Suppose -3*f - 16 = -6*f + w, 5*f - 3*w - x = 0. Suppose 2*k = f + 2. Solve -d + z + 3 + k = 0, 0 = -z - 2 for d. 4 Let r(v) = -v**2 - 11*v - 28. Let j be r(-6). Let n(y) = y**2 - 8*y. Let t be n(8). Let o = t + j. Solve -2*u - 15 = o*q - 3*q, 5*u = -4*q - 5 for q. 5 Let s(m) = 33*m + 168. Let z = 167 + -172. Let h be s(z). Solve -4*f + 4 = -c, c - 2 = h*f - 4 for f. 2 Suppose r + 4*x = -3*r - 32, -x = -4*r - 7. Let t be 1/(-2)*30/r. Suppose -5*h + 4*h = 0. Solve 5*o = -25, t*g + 3*o + 11 + 24 = h for g. -4 Let b = -76 + 86. Let h(d) = d**3 - 21*d**2 - 23*d + 25. Let j be h(22). Solve -j*z - b = -g, -g + 0*g + 2*z + 8 = 0 for g. 4 Let h be (10 - 1079/104) + (-1139)/(-8). Suppose h - 146 = -2*d. Solve 3*w = d*o - 8, 3*o + 4*w + 8 = 5*o for o. 4 Suppose -3 = -3*u + 6. Suppose 5*m + 26 = 3*y, 4*m + 20 = y + y. Let j be m/14 + (-444)/(-84). Solve -j*q = u*t + t - 40, 4*q = -3*t + 31 for q. 4 Let f(g) = 186*g - 1660. Let u be f(9). Solve 4*r = -2*v - 26, -12*v - r + 6 = -u*v for v. -5 Suppose 4*g = -2*v - 2324, -3*v = g + 23 + 3443. Let o = 1160 + v. Let z(f) = -f**2 + 1. Let l be z(-1). Solve -5*d - 15 = -4*i + 6, l = -i - d - o for i. -1 Suppose 268*j - 267*j - 68 = -5*l, 3*l + 4*j - 34 = 0. Solve 2*v + 3*t - l = -0*t, 0 = 5*v + 4*t - 21 for v. 1 Let m = -307 - -312. Solve m*o - 40 = 5*b, 0*o - 3*o = b - 4 for o. 3 Suppose 0 = -285*w + 283*w - 5*f + 20, 3*w - 5*f = 5. Solve 4*v = w*u + 4, -5*u = -94*v + 89*v for v. -4 Let x(g) = g + 3. Let k be x(-1). Suppose k = -20*a + 2. Solve -1 = 5*m + 3*w, a*w = -2*m + w + 4 for m. 1 Suppose 653 - 23 = 14*r. Suppose -32*l + 23*l = -r. Suppose -3 = -k + 2. Solve s = y - k, -y + 4 - l = 2*s for y. 3 Let u = -2977 + 2979. Solve -q + 4*k + 20 = q, -u*q = 5*k + 16 for q. 2 Suppose o - 3*n + 13 = 0, -3*o - 3*n - 40 = -61. Solve -2*g = 5*v - 23, -3*v - o*g + 7 + 10 = 0 for v. 3 Suppose b + 3 = -2*b, -r - 3*b = 0. Let j = -35401 - -35414. Solve f = r*a - j, 0 = 8*a - 6*a - 4*f - 2 for a. 5 Suppose -197 = -35*o + 22 - 44. Solve -p + 15*z = 13*z + o, -2*p + 5*z = 12 for p. -1 Let j(w) = 7 + 7 + 146*w - 141*w. Let h be j(-6). Let g be 22/8 + (-4)/h. Solve -d - g*d + 4 = 3*i, -2*d = -8 for i. -4 Suppose -16 = -14*h + 9*h - 4*v, -2 = 2*v. Suppose -n - 2*q - 3 = 0, -h*q + 11 = 5*n + 8. Solve n*i - 5*x = -2*i + 15, 0 = 4*i + 2*x - 24 for i. 5 Suppose -k - 2*d = 52, -5*k - 5*d - 285 + 50 = 0. Let u = 56 + k. Solve 7*s - 3*s + f = u, -24 = -4*s + 4*f for s. 4 Let m = -89 + 97. Suppose 3*k - m = 5*k - 3*q, 5*k - 3*q + 2 = 0. Solve b = -0*z - k*z - 11, 4 = b - z for b. -1 Let p(u) = -u**3 - 8*u**2 - 4*u + 23. Let m be p(-7). Solve -3*f = 12, 0 = -m*h + 3*f - 6*f - 10 for h. 1 Suppose 2*j - 29 = -3*s + 31, -60 = -4*s + 4*j. Solve 0 = 3*n - 5*n - 5*h + 25, s = 2*n + 4*h for n. -5 Suppose 13 = 2*s + 5*i, 2 = 3*i - 1. Solve -23 = 2*q - 5*c - 1, -s*c = -2*q - 18 for q. -1 Suppose 5*t + 4*k + 5 = 2*k, 0 = 5*t - 4*k + 35. Let f be -4 + (6 - 5) + t. Let c be (f/(-4))/((-2)/(1 + -5)). Solve -3 = -2*w + 5*q, w = -c*q + 6*q + 1 for w. 4 Let q(y) = -y**3 + 23*y**2 - 21*y - 8. Let j be q(22). Let h = 190 - 188. Solve -f = -4*f - l + 11, -h*f = 2*l - j for f. 2 Let o(i) = i**3 - 26*i**2 - 88*i + 34. Let z be o(29). Suppose z*q + q = 3*q. Solve 4*u + 3*s + 2*s + 3 = q, 0 = -3*u + 4*s + 21 for u. 3 Let j(q) = 6*q**2 + 3*q + 5. Suppose -7 - 2 = 3*z. Let d be j(z). Suppose -6*f + 16*f = d. Solve f*a + o + 16 = 0, 16 = 3*o + o for a. -4 Suppose -2*n = 3*s - 25, -3*s - 55*n = -69*n - 89. Solve 0 = 2*k - 8, -w = -3*k + s for w. 1 Suppose 0 = -35*b - 19*b - 105*b + 318. Solve 2 + 9 = k - b*m, 4*k - 20 = 2*m for k. 3 Suppose 85 = -4*l + 113. Suppose 5*k = 3*a + 21, -3*k = l*a - 2*a - 33. Suppose -9*s = -k*s - 12. Solve -5*j - 24 = -2*p, 0 = 5*p - s*j - 22 - 4 for p. 2
{ "pile_set_name": "DM Mathematics" }
). Which is smaller: x or 1/51? 1/51 Let p(o) = o + 17. Let r(d) = d + 16. Let i(k) = 5*p(k) - 6*r(k). Let j be i(-8). Which is smaller: -11/6 or j? j Let x be (-1674)/(-21) - (-4)/14. Is 81 < x? False Let i(d) = d**2 + 7*d + 1. Let n be i(-7). Suppose -690 + 162 = 4*c. Let a be 50/c + (-6)/(-18). Which is smaller: n or a? a Suppose -19 + 123 = 26*k. Which is smaller: k or 26/7? 26/7 Let v(y) = -y**2 - 31*y + 16. Let j be v(-8). Is j greater than 203? False Let m be 112/(-952) - (-6292)/17. Is 370 less than or equal to m? True Let h = 720 + -291. Which is bigger: 428 or h? h Suppose -294 + 408 = -6*z. Are -20 and z non-equal? True Let v(k) = k**3 - 1. Let t be v(0). Suppose 2*l - 2*m + 52 = m, 3*l + 112 = -4*m. Let w be 98/(-152) + (-24)/l. Is w greater than or equal to t? True Let z = 1590/7 + -46012/203. Which is smaller: z or 1? z Let d(b) = -17*b - 627. Let i be d(-33). Do i and -336/5 have different values? True Suppose -q - 3*v + 248 = 0, 5*q - v - 903 = 289. Is q at most 240? True Let q be 3*(-1)/2094*6. Which is greater: q or 1? 1 Let g(w) = -3*w**3 + 14*w**2 + 2*w - 1. Let x be g(6). Is x >= -134? True Let c = 25 + 17. Suppose 0 = -h + c - 50. Do -7 and h have the same value? False Let u = 5/7 + -3/14. Let b = 13 + -11.6. Let c = 1.4 - b. Does u = c? False Let q = 37/340 - -12/85. Which is smaller: q or -35? -35 Let y = -2/375 + -71/750. Which is bigger: -1 or y? y Let l be (-1)/10*(-5)/2. Let w = 16.7 + -16. Let n = -0.6 + w. Do l and n have the same value? False Let l be (-195)/(-9) - (7 - (-19)/(-3)). Which is greater: l or 6? l Let d(n) = -16*n**2 - 135*n + 9. Let a be d(-8). Is 63 at least a? False Suppose 11 = 2*p + 7. Suppose -h = d, 3*d - 2 + 1 = -p*h. Is -2/123 smaller than h? False Suppose -4*u = 2*o + 20, 3*o + 10 = 3*u + 25. Let i = 217 + -2820/13. Which is smaller: i or o? o Suppose 2*y = -2*y + 32. Suppose 0 = 3*j - 5*b - 29 - y, 0 = -4*j + 2*b + 26. Let c be -3 - 4/16*j. Which is greater: c or -6? c Suppose -3*i = 2*k - 3*k - 54, 0 = 2*i + 4*k - 50. Which is bigger: 15 or i? i Let q be 32/75 - (-4)/(-6). Suppose 44 - 44 = 64*y. Which is smaller: y or q? q Let t be (3/5)/(7 - 25/4). Which is bigger: t or -0.2? t Let p = 544 - 21217/39. Let c be (1*2)/(-45 - -47). Which is smaller: c or p? p Let j(p) = p**2 - 5*p - 1. Let t be j(5). Let n = 24 - 649/27. Is t < n? True Suppose 5*u = -20, -4*c = 3*u - 9 - 11. Let i(x) = -4*x**2 + 5*x**2 - x**2 + x**2 - c*x + 10. Let h be i(6). Is 8 < h? False Suppose 0 = 6*d + 11*d. Which is smaller: d or 1/101? d Let o be 1/3 - (-10)/(-48). Let r(a) = -13*a**2 - a + 2. Let n be r(1). Let g be 2/(-4) + -2*3/n. Which is smaller: o or g? g Suppose -w - 32 = -4*b, b + 4*w - 57 = -66. Let f be (12/(-10))/((-12)/80). Is f at most b? False Let l = -50 - 37. Is -353/4 bigger than l? False Suppose -14*l + l = -78. Suppose 0*f + 12 = 2*f. Suppose -f*g + 20 = 3*j - 5*g, -j = -g. Do j and l have the same value? False Suppose -46*u = 29 + 17. Let j = -5 - -5. Which is greater: j or u? j Suppose 4*w + 40 + 28 = 0. Suppose 3*q + 4*o + 21 = 0, 0*q - q - 8 = o. Let k = q - w. Is k at least 6? True Suppose g - a + 3 - 1 = 0, -4*a = g - 23. Suppose -4*c - 50 = -g*b - 13, 2*b = -c + 10. Suppose 3*w - b*w = 24. Which is smaller: w or -7? -7 Let r(g) = -2*g + 18. Let u be r(9). Suppose -5*j - 385 = 4*m, 2*m - m + 5*j + 85 = u. Let l = -1088/11 - m. Which is greater: l or 2? 2 Let z(p) = 39*p - 1743. Let j be z(45). Let f be -4*(15/(-2))/(-5). Which is smaller: f or j? f Let h(o) be the first derivative of o**2/2 - 7*o + 3. Let q be h(6). Let a be ((-2 - -2) + -2)/(-20 + 41). Which is bigger: a or q? a Suppose -18*u = -11*u - 105. Let z be ((-2)/u*3)/((-5)/50). Let x(y) = y**3 + 3*y**2. Let c be x(-3). Are z and c nonequal? True Let g = 2135/8 + -1488111/5576. Are g and 0 equal? False Let c = -2.74 - 0.16. Let h = c - -0.9. Let q = -5 + h. Is q less than or equal to 0.1? True Let f = 2/431 - 4324/3017. Is f at least as big as -1/2? False Let q = 49834892 - 5382031501/108. Let z = q - 1267. Which is smaller: 0 or z? z Let i be 15 + (-3 - 22/(-2)). Is 20 <= i? True Suppose 4 = -3*c + 10. Suppose -q = c*q - 6. Suppose q*u - 5 = 5. Is u at most 0.1? False Let p be (-5982)/3555 + (-4)/(-10). Let k = 4/79 - p. Let n = 124 - 123. Which is greater: k or n? k Let a = 502 - 464. Which is smaller: 45 or a? a Let p be ((27/(-21))/(-3))/(-1). Let u = -84 + 1766/21. Let c = u + p. Which is smaller: 0 or c? c Let c = 56156/781 + -790/11. Let p be (-688)/8520*6/1. Let k = p + c. Is k equal to 0.2? False Let b be 27 - (-6)/12*-6. Which is greater: 25 or b? 25 Let o be (-342)/(-84)*(-3)/(-639). Let w = 61484/5467 - o. Let d = 52/11 - w. Which is bigger: -7 or d? d Suppose t + 4*z = -323, 311 = -6*t + 5*t - z. Are -306 and t nonequal? True Suppose -63 = -4*c - j, 5 = -j + 8. Let n be (2*c/(-8))/((-15)/(-40)). Which is smaller: -13 or n? -13 Suppose 0 = v + 2*u + 135, 34*v + 5*u - 279 = 36*v. Is v at least as big as -135? False Suppose 0 = 21*g - 11*g - 850. Let i = g + -40. Is 45 at least i? True Let n = 31 - 40. Let i be 8/(-12) + 13/15. Which is smaller: n or i? n Suppose -5*f = -b + 21, -3*b + 25 - 42 = 5*f. Which is smaller: b or -14/149? -14/149 Let c(s) = -s**3 - 2*s**2 - 3*s - 2. Let w be c(-2). Suppose -26*m + 24*m + w = 0. Suppose -6 + 3 = -3*v. Which is bigger: m or v? m Let u = -48 + 18. Let d be -6*(-3)/u*-15. Suppose 7*v - 4*v + d = 0. Is -2 <= v? False Suppose -2 = 2*j, 18 + 20 = 5*x + 2*j. Let q(t) = 4*t - x - 6*t**3 - 3*t + 5*t**3. Let m be q(0). Is -1/3 != m? True Let i be (-18)/(-3) - (-22)/(-4). Which is smaller: i or 1? i Suppose 0 = -4*v + 4*f + 104, 2*v - 5*f - 30 - 22 = 0. Let d be (-260)/(-35)*(-98)/(-28). Are v and d non-equal? False Let v = 75/16 - 11041/2352. Let y = -97/147 + v. Is y != -2? True Suppose 5*b - 4 = 6. Suppose r + o = -b, -2*r + 4*o + 3 = -o. Let v = -11/10 - -1/2. Do v and r have different values? True Let w = -1283 + 1486. Which is smaller: 201 or w? 201 Let n = 4 + -4.02. Let h = -0.16 - -0.01. Let x = h - 0.85. Which is smaller: n or x? x Let z = 35.9 + 162.1. Which is greater: z or -2/5? z Let k = -32 - -13. Suppose 5*m - 70 = 3*l, -5*l + 7*l = 2*m - 44. Is l greater than k? False Let h = -0.39 + 0.52. Let x = 0.03 - h. Which is greater: 2 or x? 2 Let g = 8.2 - 13.2. Suppose -6*s = -5*s - 7. Let j = s - 8. Is j >= g? True Let a = 5991 + -3831. Which is smaller: a or 2159? 2159 Let j(m) = 7*m**3 - 6*m**2 + 5*m + 13. Let s(y) = -3*y**3 + 3*y**2 - 3*y - 6. Let a(w) = 2*j(w) + 5*s(w). Let t be a(3). Is t at most -20? False Let a = -27 - -46. Let g = -20 + a. Is -18 less than or equal to g? True Let o = 24 - 20. Let d be (-7)/(-2)*o/7. Suppose -3*f = -z + d, -4*f + 5*z - z = 16. Is f != -1/8? True Let n = 58 - 47.8. Let h = n + -12. Let y = -1.7 - h. Which is greater: y or 3? 3 Let i = -3 - 4. Let s(d) = d**2 + 8*d + 5. Let o be s(i). Suppose -230*w = -236*w - 30. Does w = o? False Let c(p) = -p**2 - 13*p + 8. Let u be c(-14). Is -3 at most u? False Suppose -2*r + 344 = -10*t + 8*t, -5*t = 5*r + 870. Is t >= -174? True Let n = 92864 + -648891/7. Let a = -165 + n. Which is smaller: a or 0.5? a Let l = -1 - -6. Suppose -l + 23 = 3*m. Let v be 12/15*(19 + m). Which is smaller: 19 or v? 19 Let g(k) = 2*k**2 - 4*k. Let r be (-8)/(-28) + 24/14. Let d be g(r). Suppose p + d*p = 0. Which is smaller: 3/16 or p? p Let c = 4.846 + -4.9. Let q = c - 1.946. Is q greater than 6? False Let a be -1 + 3 + ((-2264)/(-1130))/(-1). Which is smaller: 0 or a? a Let f = -70 + 69. Which is greater: f or 2/7? 2/7 Let t = 240 - -5. Is t > 245? False Suppose 30*h + 3410 = -7120. Is -352 not equal to h? True Suppose -3*n - 19 = -l, 5*l + n = 16 + 111. Let z be 3/21*l + -4. Is -1 >= z? False Let b be ((-2)/7)/((-84)/294). Which is smaller: 15/19 or b? 15/19 Let h = -2.16 - -0.06. Let a = -3.1 - h. Let m = a + 1.1. Which is bigger: m or 3/23? 3/23 Let h be (0/27)/(-1*1). Suppose -4*f = -3*w + 4, 4*w = -2*f - h - 2. Which is smaller: f or -1/19? f Let d = 79 - 19. Which is smaller: d or 61? d Let f(t) = -15*t**2 - 21*t - 52. Let w be f(-3). Do -126 and w have different values? True Suppose 0 = -18*g + 21*g + 69. Let y = g - -16. Suppose -2*f + 24 = -3*f + 5*v, 20 = 5*v. Which is smaller: f or y? y Let g(y) = -y**3
{ "pile_set_name": "DM Mathematics" }
210.1 Sort -1213, -0.2, -12, 4.99. -1213, -12, -0.2, 4.99 Sort 307, -1205, -61. -1205, -61, 307 Sort 9/13423, -5, 2/27 in ascending order. -5, 9/13423, 2/27 Put -2131, 0, -107, -2, 20, -6 in increasing order. -2131, -107, -6, -2, 0, 20 Put 3.4, 5, -319/5, -32 in increasing order. -319/5, -32, 3.4, 5 Put -2, 917413, -10 in descending order. 917413, -2, -10 Sort -4, 40256, -136, 2. -136, -4, 2, 40256 Sort 2, 6, -49, 31, -59, -4. -59, -49, -4, 2, 6, 31 Sort -1/4, -7, -1, -0.2908 in decreasing order. -1/4, -0.2908, -1, -7 Sort -16, 2, -9, 14421. -16, -9, 2, 14421 Sort -4, 11, 4, 20, -3 in descending order. 20, 11, 4, -3, -4 Sort 14, -5, -1, 4, -2187 in decreasing order. 14, 4, -1, -5, -2187 Put -11243, 1, -13, 2/679 in ascending order. -11243, -13, 2/679, 1 Put -5, -476511, 8 in decreasing order. 8, -5, -476511 Put 4, 0.0611, -0.4, 0.4, 46/25 in ascending order. -0.4, 0.0611, 0.4, 46/25, 4 Sort 4, -93050, 20 in ascending order. -93050, 4, 20 Put 58, -25946, 1, 9 in decreasing order. 58, 9, 1, -25946 Put 0, -2, -5, 2573, -1, -34 in descending order. 2573, 0, -1, -2, -5, -34 Sort 0, 449404, -2, 1 in decreasing order. 449404, 1, 0, -2 Put -1, -3315, -9, 0.3, 1/3, -8 in decreasing order. 1/3, 0.3, -1, -8, -9, -3315 Sort -1, 7, -2476683 in descending order. 7, -1, -2476683 Put 2, 0, 3210, 4, 60, -4 in descending order. 3210, 60, 4, 2, 0, -4 Put 0, -1, 3, -16, 226, 1 in decreasing order. 226, 3, 1, 0, -1, -16 Sort -0.02, -3, 118/1423, -7.2. -7.2, -3, -0.02, 118/1423 Sort -2, 7, 3, 980, -3, 2. -3, -2, 2, 3, 7, 980 Sort -18, 574229, 4. -18, 4, 574229 Sort -18, -3/7, -1, -26765, -0.04 in decreasing order. -0.04, -3/7, -1, -18, -26765 Sort -2/23, 1689, 18 in decreasing order. 1689, 18, -2/23 Sort 2/5, -5/7, 1/47, -2/119, 1, -9 in decreasing order. 1, 2/5, 1/47, -2/119, -5/7, -9 Put 5, 28719.5, 5/6 in descending order. 28719.5, 5, 5/6 Put -1/8, 1.54, 241, -2 in increasing order. -2, -1/8, 1.54, 241 Sort 7114254, -32, 5 in ascending order. -32, 5, 7114254 Sort 33/2, -0.202017, 2 in increasing order. -0.202017, 2, 33/2 Sort -2, -6272, 45, 2, 5. -6272, -2, 2, 5, 45 Sort -5/7, 1, -762/17, 11. -762/17, -5/7, 1, 11 Put 4419, -3, 0, 547 in increasing order. -3, 0, 547, 4419 Put -3, 599482, 54 in decreasing order. 599482, 54, -3 Put -60, -7, 273, -5, 1, 5, 10 in decreasing order. 273, 10, 5, 1, -5, -7, -60 Put 4, 1, 582, -1, -1296, -4 in decreasing order. 582, 4, 1, -1, -4, -1296 Sort 9, -1, 10, 13, -17, -3. -17, -3, -1, 9, 10, 13 Put 81/8, -1/24, 0, -939, 3 in descending order. 81/8, 3, 0, -1/24, -939 Put 23, -256, -106, -4, -2, 2, -3 in decreasing order. 23, 2, -2, -3, -4, -106, -256 Put -5, -273, 3, 26 in descending order. 26, 3, -5, -273 Sort 172, 5, 2, 50, 12. 2, 5, 12, 50, 172 Put -2, 17, 472471 in descending order. 472471, 17, -2 Sort 0, -0.0612, -0.3, -1191, -3 in decreasing order. 0, -0.0612, -0.3, -3, -1191 Put 0.5, 0.05706, 2/29, 0, -3 in descending order. 0.5, 2/29, 0.05706, 0, -3 Sort 50, -9, 105, 1, -2/25, -0.4. -9, -0.4, -2/25, 1, 50, 105 Sort 4, -6, 211, -500 in decreasing order. 211, 4, -6, -500 Sort 288, 130, -60, 3, 21 in descending order. 288, 130, 21, 3, -60 Sort -34, -137.28, -0.141. -137.28, -34, -0.141 Sort -11, 3, -148, -1234. -1234, -148, -11, 3 Sort 1, -1318, -59 in descending order. 1, -59, -1318 Sort -475, 1, 18, -6, -5. -475, -6, -5, 1, 18 Put -92, -1/12, 3, -0.6139, 1/3 in descending order. 3, 1/3, -1/12, -0.6139, -92 Put -206, -0.3, 0.2, -0.236 in decreasing order. 0.2, -0.236, -0.3, -206 Put -428, 2/7, 0.4, 10, 112, -1/10 in increasing order. -428, -1/10, 2/7, 0.4, 10, 112 Put -9, -2/15, 621/410, 5 in decreasing order. 5, 621/410, -2/15, -9 Sort -3, -25, -5, 6, 7 in decreasing order. 7, 6, -3, -5, -25 Sort -14, 26, 28, 9, 0, 3, 5 in ascending order. -14, 0, 3, 5, 9, 26, 28 Sort 370, -37, -1/3, 2, 0.3, 2/9 in ascending order. -37, -1/3, 2/9, 0.3, 2, 370 Put -3, -1, -686, 10205 in increasing order. -686, -3, -1, 10205 Sort -1, -3898, 6, -77 in ascending order. -3898, -77, -1, 6 Put 150663, 2, 4 in descending order. 150663, 4, 2 Sort 807, 3, -2, -188, 4, 3/7 in descending order. 807, 4, 3, 3/7, -2, -188 Sort -12, -118, 2/3, 3, 220, -1 in descending order. 220, 3, 2/3, -1, -12, -118 Sort -18919187, 3, 4 in decreasing order. 4, 3, -18919187 Put -129113, 23, 19 in descending order. 23, 19, -129113 Put 24, 3, -31, -3, 443 in decreasing order. 443, 24, 3, -3, -31 Sort 1.66, -3, -3602/21 in increasing order. -3602/21, -3, 1.66 Sort -64, 4063, -2, -1 in decreasing order. 4063, -1, -2, -64 Sort 5, -1, 1, 2010385. -1, 1, 5, 2010385 Sort 5543, -6397, 2/7 in ascending order. -6397, 2/7, 5543 Put -4, 75, 76, 3, -5, 4 in descending order. 76, 75, 4, 3, -4, -5 Sort -7, 5, -2, 2, 6224, -3 in descending order. 6224, 5, 2, -2, -3, -7 Sort -2, -36, 1, 1176, 2 in ascending order. -36, -2, 1, 2, 1176 Sort 16, -9, -2, 69, -728 in decreasing order. 69, 16, -2, -9, -728 Sort -122, -4, 33, 3. -122, -4, 3, 33 Sort 1435, 1209, 0 in increasing order. 0, 1209, 1435 Put 0.1, -9419, 282, 2/3, -1, -2/3 in decreasing order. 282, 2/3, 0.1, -2/3, -1, -9419 Put 2456, -52, 0, 0.7 in ascending order. -52, 0, 0.7, 2456 Put -14, -5/2, 195, -0.1, -3/8 in increasing order. -14, -5/2, -3/8, -0.1, 195 Sort -3, 364, -3800, 2 in increasing order. -3800, -3, 2, 364 Put -227/241, -92.6, 0.5 in descending order. 0.5, -227/241, -92.6 Put -142, 1/13, -13, 9/7, -61 in descending order. 9/7, 1/13, -13, -61, -142 Sort 997973, -4, -0.7, 1/32 in descending order. 997973, 1/32, -0.7, -4 Sort -3, -5, -333, 30, -1, 2, -7. -333, -7, -5, -3, -1, 2, 30 Put -2, 54, -17, -1, 4, -18, -4 in decreasing order. 54, 4, -1, -2, -4, -17, -18 Put 13, 5, 9, -1521, 8 in decreasing order. 13, 9, 8, 5, -1521 Sort 5, -67, 1, -4, -1, -47416 in descending order. 5, 1, -1, -4, -67, -47416 Sort -150, -0.405, -1 in descending order. -0.405, -1, -150 Sort -1, -83, -71088, -2 in decreasing order. -1, -2, -83, -71088 Put 5, 1425, -4, -64662 in decreasing order. 1425, 5, -4, -64662 Put 4, -30, 2, -4, -15, -49, -1 in descending order. 4, 2, -1, -4, -15, -30, -49 Sort 24408, -1, 403 in descending order. 24408, 403, -1 Put -1, -171010, -5, 17 in ascending order. -171010, -5, -1, 17 Sort 9, 0, 10646258. 0, 9, 10646258 Sort 0, 2409, 2, 5, 53. 0, 2, 5, 53, 2409 Put 2253, -13, -12 in decreasing order. 2253, -12, -13 Sort 33, -16, -5, 6, 10, -22. -22, -16, -5, 6, 10, 33 Sort 111, 0, 2, -29, -3, -20. -29, -20, -3, 0, 2, 111 Put -25.6, 3828, 1 in descending order. 3828, 1, -25.6 Sort 5, 3, -4, 4, -193535. -193535, -4, 3, 4, 5 Sort 26, -1, -666, 4, -38 in ascending order. -666, -38, -1, 4, 26 Sort -0.2, -1/4, 2027/78 in decreasing order. 2027/78, -0.2, -1/4 Sort 6, 0.4, -6, -0.3, -1191, 3. -1191, -6, -0.3, 0.4, 3, 6 Put 1/9, 0.3, -0.5, -2, -1/6, 50/3 in decreasing order. 50/3, 0.3, 1/9, -1/6, -0.5, -2 Sort 2, 3, -68, -1, -7076, 1 in ascending order. -7076, -68, -1, 1, 2, 3 Sort 12, -21, 5, -1230 in descending order. 12, 5, -21, -1230 Put 341, -13, 8428 in descending order. 8428, 341, -13 Sort 108, 3, 2, 1751, 5, -5, -16 in increasing order. -16, -5, 2, 3, 5, 108, 1751 Put 0.3, 14/5049, -4, -26 in descending order. 0.3, 14/5049, -4, -26 Sort 157, -3, 2, 3, -1, 0 in increasing order. -3, -1, 0, 2, 3, 157 Sort -1.8, 9, 2/855, 0, -0.2, 0.2 in descending order. 9, 0.2, 2/855, 0, -0.2, -1.8 Sort -34, 3, -5/4, 3105/68 in descending order. 3105/68, 3, -5/4, -34 Sort -2370, 2, 6, -58, 9 in ascending order. -2370, -58, 2, 6, 9 Put -13, 1, 10, 0, 172, 4, -21 in ascending order. -21, -13, 0, 1, 4, 10, 172 Sort 14, 2, 32, -410 in ascending order. -410, 2, 14, 32 Put 17374020, -5, -4 in descending order. 17374020, -4, -5 Sort -3, -5284, 3, 6, 5, 4 in decreasing order. 6, 5, 4, 3, -3, -5284 Put 6, -5, -13, 22, -7, 7 in descending order. 22, 7, 6, -5, -7, -13 Sort -0.3, -2, 2/5, -100471, 0.2 in decreasing order. 2/5, 0.2, -0.3, -2, -100471 Put 0.99, -1, -2/17, -8, -4/7 in descending order. 0.99, -2/17, -4/7, -1, -8 Put -3, 12, 12978, 5 in descending order. 12978, 12, 5, -3 Sort 1/2, 3, 0.7, -290.6, 3/14 in descending order. 3, 0.7, 1/2, 3/14, -290.6 Sort -2, 1674, 6325 in descending order. 6325, 1674, -2 Sort 1.44, -431521, 4 in ascending order. -431521, 1.44, 4 Sort -23, 0, 10, 1, 30, -759 in decreasing order. 30, 10, 1, 0, -23, -759 Put 0.5
{ "pile_set_name": "DM Mathematics" }
d? -471072*d Find the third derivative of -3801*n**3 + 92*n**2 + 30*n + 1 wrt n. -22806 Find the third derivative of 2*h**5*p**2 + 2*h**3*p**3 + 703*h**3 - 2*h**2*p**2 - 19918*h**2*p + p**3 wrt h. 120*h**2*p**2 + 12*p**3 + 4218 What is the second derivative of -14*g*v**2 - 38679*g*v - 1558*v**2 wrt v? -28*g - 3116 Find the first derivative of 4420*b*c**3*d - 2*b*c**3 + 84*b*c**2*d - 19*b*c - 2801*b - 5*c**3 wrt d. 4420*b*c**3 + 84*b*c**2 What is the derivative of 2*l**2 - 7651*l - 150474 wrt l? 4*l - 7651 Find the second derivative of k**4 + 9567*k**3 - k**2 - 137862*k wrt k. 12*k**2 + 57402*k - 2 What is the second derivative of 916*k**4*l + 5*k**3 - 3*k**2*l - k*l + 2*l + 622 wrt k? 10992*k**2*l + 30*k - 6*l Find the third derivative of -16080*r**6 - 3*r**4 + r**2 + 119*r - 6 wrt r. -1929600*r**3 - 72*r What is the derivative of -456021*z**2 + 283978? -912042*z What is the second derivative of 1336464*z**2 - 31252*z - 7 wrt z? 2672928 What is the third derivative of -8*a**4*y**2 - a**4 + 16*a**3*y - a**3 + 640*a**2*y**2 + a**2 + 21*a*y - y wrt a? -192*a*y**2 - 24*a + 96*y - 6 What is the second derivative of 40*a**3*r + 3*a**3 + 3*a**2*r**2 + 47*a**2 + 890*a*r**2 + 17*r**2 wrt a? 240*a*r + 18*a + 6*r**2 + 94 Find the third derivative of 246985*t**3*u**3 - 437*t**2*u**3 - 153*t**2*u wrt t. 1481910*u**3 Find the second derivative of -2*m**3*y**3 - 2*m**3 + 2656*m**2*y + 283*m*y**3 - 5*m*y**2 - y**2 wrt m. -12*m*y**3 - 12*m + 5312*y Find the third derivative of 1723949*b**4 - 18*b**2 + 8*b + 330. 41374776*b What is the second derivative of 51964*f**2*w**3 - 2*f*w**3 + 236*f - 8*w**3 wrt f? 103928*w**3 What is the first derivative of 2905*c*r - 256894*c*w + 39*r*w wrt r? 2905*c + 39*w What is the derivative of -n**4 + 7069*n**2 - n - 13147 wrt n? -4*n**3 + 14138*n - 1 Find the first derivative of 39*i**3*p - 2*i**3*w - 2164*i**2*w - 6*i*p*w - 7*i*p + 4*i*w - 2*p*w - 2 wrt p. 39*i**3 - 6*i*w - 7*i - 2*w What is the second derivative of 19701*u**2 + 73148*u? 39402 Differentiate u**2*y**2 + 39554*u**2 - u - 21562*y**2 wrt y. 2*u**2*y - 43124*y What is the second derivative of 47297*r**4 + 5148*r - 5? 567564*r**2 Differentiate 41810*p**2 + 25553. 83620*p What is the second derivative of 20536*i**2*w - 14*i*w - 3*i - 2*w + 528 wrt i? 41072*w What is the derivative of -3976136*a*o - 4101668*o wrt a? -3976136*o Find the third derivative of -b*j**3*x - 8*b*j**2*x - 5*b*j**2 - 27*b*j*x - j**4*x + 15471*j**4 + j**2 + 19*j*x wrt j. -6*b*x - 24*j*x + 371304*j Differentiate 8758*h**2*l - h**2 + 2*h*l - 3*h + 71 wrt l. 8758*h**2 + 2*h What is the third derivative of -29*m**3*n*r**3 + 13889*m**3*n - 99*m**2*n*r**2 - 3*m**2*n - m**2*r**3 + 66*m*r**2 wrt m? -174*n*r**3 + 83334*n What is the first derivative of -144842*f**4 - 7982? -579368*f**3 What is the third derivative of -88420*v**4 + v**2 + 7867? -2122080*v What is the third derivative of 9*s**5 + 3*s**4 - 1110*s**3 - 1252759*s**2 wrt s? 540*s**2 + 72*s - 6660 What is the second derivative of -158885*a**5 - 568912*a wrt a? -3177700*a**3 Differentiate -3393629*n + 2721705 with respect to n. -3393629 Find the third derivative of 160*i*x**3 + 6437*i*x**2 - 4*i*x + i + 351*x**3 - x**2 wrt x. 960*i + 2106 What is the third derivative of -2*g**4*x**2 + 6137*g**3 + 8*g**2*x**2 + g**2 - 20*g*x**2 wrt g? -48*g*x**2 + 36822 What is the second derivative of 11729*c*j**2*s - c*j*s**2 - 41*c*j*s + 66*c*s**2 + j**2*s**2 + j**2*s wrt j? 23458*c*s + 2*s**2 + 2*s Find the second derivative of -3253704*k**3 + 3912921*k wrt k. -19522224*k What is the third derivative of 43167*p**3 - 5117*p**2 + 1 wrt p? 259002 Find the second derivative of 37*u**3 + 4009*u**2 + 727888*u. 222*u + 8018 What is the first derivative of 2*b*i*y**2 - 14407*b*y**2 + 9*b - 27*i*y**2 - 615*i wrt b? 2*i*y**2 - 14407*y**2 + 9 What is the second derivative of 126213*u**2 - 88927*u? 252426 Find the third derivative of 34*j**3*u**2 - 1019*j**3 + 2*j**2*u + 2*j**2 + 10*j*u**2 + 26*u**2 wrt j. 204*u**2 - 6114 Find the second derivative of 108*f**3*x - 1647*f**2*x + 23*f*x + 2*f + 6609*x wrt f. 648*f*x - 3294*x Find the third derivative of -2*p**2*r**3 + p**2*r**2 + 5619*p*r**3 + 1672*p*r**2 - 2*r**3 + r - 5 wrt r. -12*p**2 + 33714*p - 12 Find the third derivative of -10*c**5 + 1477*c**3 + 664*c**2 wrt c. -600*c**2 + 8862 Find the third derivative of 334855*t*y**3 + 13*t*y**2 - 5*t*y + 22*t + 2*y**2 wrt y. 2009130*t Find the third derivative of 2*f**2*n**5 - 42*f**2 - 5*f*n**2 - 13408*n**6 + 54*n**2 wrt n. 120*f**2*n**2 - 1608960*n**3 What is the derivative of 1488*x**4 - 4*x**3 - 128*x - 4857848? 5952*x**3 - 12*x**2 - 128 Differentiate 4308*n**2*o**2 + 2*n**2*o*p*u + 2*n**2*o - 2*n*u - 45*o**2*p*u - 135*p*u with respect to p. 2*n**2*o*u - 45*o**2*u - 135*u Find the second derivative of -d**2*u - 128859*d**2 - 2*d*u - 19817*d wrt d. -2*u - 257718 What is the third derivative of -36*g**3*l**3 - 6*g**3*l**2 + 58*g**3 + 728*g**2*l**3 - 2*l**3 - l**2 wrt l? -216*g**3 + 4368*g**2 - 12 What is the second derivative of -148214*t**2 - 159287*t wrt t? -296428 Find the third derivative of k**3*z**2 - 10*k**3*z + 6280*k**3 + 21*k**2*z**2 + 2*k**2*z + 574*k*z**2 + z**2 - 3 wrt k. 6*z**2 - 60*z + 37680 Differentiate -2*x**3*z - 580083*x**3 + 1667*x**2*z**2 - 11*x*z**2 wrt z. -2*x**3 + 3334*x**2*z - 22*x*z Find the third derivative of 1932*r*u**3*x**2 + 10*r*u**2*x**2 + 2*r*u + 3013*r*x**2 - 2*r*x - 676*u**3*x**2 wrt u. 11592*r*x**2 - 4056*x**2 Find the second derivative of 1866*c**4 - 7*c**3 - 4778*c wrt c. 22392*c**2 - 42*c What is the third derivative of -332*p*s**3*x**3 + p*s**3 - 31*p*s**2*x**3 - 57*p*x**3 - 3*s**3*x**3 wrt s? -1992*p*x**3 + 6*p - 18*x**3 Find the second derivative of -5343976*h**2*y + 5*h*y + 20*y + 3990 wrt h. -10687952*y Find the second derivative of 4086901*t**5 - t - 2237643 wrt t. 81738020*t**3 Find the third derivative of 3*f**4*x**3 - 2460*f**4*x + 2*f**4 - f**2*x - 2*f*x**3 - 3317*f*x wrt f. 72*f*x**3 - 59040*f*x + 48*f What is the first derivative of -9*a**2*j - 2*a**2 + 21*a*j**4 - a - 10*j - 1099 wrt j? -9*a**2 + 84*a*j**3 - 10 What is the third derivative of -260*i**4 + 15*i**3 + 12*i**2 - 645? -6240*i + 90 What is the second derivative of 737942*b**2 + 1878440*b? 1475884 What is the second derivative of -43495*m*o**2 + 19619*m*o - 10*m wrt o? -86990*m What is the first derivative of -49744*l**3 - 96360? -149232*l**2 What is the second derivative of -3*g**4*t + 15*g**2*t - 1278*g**2 - 179379*g*t wrt g? -36*g**2*t + 30*t - 2556 Differentiate 3118*a*c*s**2 - 68254*a*c - a*s**3 + 3*a - 76*c*s with respect to s. 6236*a*c*s - 3*a*s**2 - 76*c What is the first derivative of 89273*r**3 + 149532 wrt r? 267819*r**2 What is the second derivative of -5201653*n**3 - 990*n - 197? -31209918*n What is the third derivative of -48176*c**3 + 3*c**2 - 6*c - 1586? -289056 Find the third derivative of 158334*u**6 + 3*u**5 + 7*u**2 - 2829*u wrt u. 19000080*u**3 + 180*u**2 Find the first derivative of -5*k**4 - 40*k**3 + 76*k**2 - 9618 wrt k. -20*k**3 - 120*k**2 + 152*k What is the third derivative of 1371798*v**5 - 90*v**2 + 150*v + 4 wrt v? 82307880*v**2 What is the first derivative of -1407*m**3 - 1732*m**2 + 5086166 wrt m? -4221*m**2 - 3464*m Find the second derivative of 3*o**3*p - 121050*o**2*p - 2*o**2 + 906*o*p + 18*o - p wrt o. 18*o*p - 242100*p - 4 Find the third derivative of 108734*i**3*r - 6*i**2 - 6822*r wrt i. 652404*r Find the first derivative of 19*d**2 + 25380*d*k + 18028*k + 46 wrt d. 38*d + 25380*k What is the third derivative of -208*a**5 + 3*a**4*x + 494*a**2*x wrt a? -12480*a**2 + 72*a*x Find the second derivative of -30796*s**5 - 3*s**2*v**2 - 16*s*v - 31*s - 2*v**2 + 11*v wrt s. -615920*s**3 - 6*v**2 What is the third derivative of -10631*g*u**4 - 15*g*u**3 + 3*g*u**2 + 7*g*u - 2*g - 3*u**4 + 2*u**2 + 167 wrt u? -255144*g*u - 90*g - 72*u Find the third derivative of 309763*a**6 - 2289*a**2 - 4 wrt a. 37171560*a**3 Find the third derivative of -3*m**4 - 46873*m**3 - 83357*m**2 wrt m. -72*m - 281238 Find the first derivative of 51869*z**2 + 135871. 103738*z What is the derivative of -9994*q + 328? -9994 Find the third derivative of -369350*k**4 - 241933*k**2 wrt k. -8864400*k Differentiate 17170*r**3 - 3*r - 13585 wrt r. 51510*r**2
{ "pile_set_name": "DM Mathematics" }
4, 119, -5, 3 in descending order. 119, 4, 3, -5 Put 25, -6, 2, -5, -13 in decreasing order. 25, 2, -5, -6, -13 Put -1, -19/6, -11 in descending order. -1, -19/6, -11 Put 0.3, 1, -1/3, -9 in descending order. 1, 0.3, -1/3, -9 Put 0.3, -0.3, -4, -3/2, 1 in descending order. 1, 0.3, -0.3, -3/2, -4 Put 3/2, 5, -872 in descending order. 5, 3/2, -872 Put -3, -171, 17 in descending order. 17, -3, -171 Sort -3, 2/7, 1/30, 7 in ascending order. -3, 1/30, 2/7, 7 Sort 133, 4/3, 4/7, -0.2. -0.2, 4/7, 4/3, 133 Sort 4, 12, -0.021, -3, 3/8 in ascending order. -3, -0.021, 3/8, 4, 12 Put -6, -0.07, 5, 3 in decreasing order. 5, 3, -0.07, -6 Sort 4, -3, 47 in ascending order. -3, 4, 47 Sort -11, -0.5, -3, 2/3. -11, -3, -0.5, 2/3 Sort 4, -4, 0.4, 16. -4, 0.4, 4, 16 Sort 2/15, 0.5, -3 in ascending order. -3, 2/15, 0.5 Sort -3, -6, 0, -4 in decreasing order. 0, -3, -4, -6 Sort 73, -4, 17, 1 in decreasing order. 73, 17, 1, -4 Sort -137, -3, 2 in decreasing order. 2, -3, -137 Sort -0.1, 1/7, -19.3 in increasing order. -19.3, -0.1, 1/7 Sort 1/5, 2/5, 0, 0.203. 0, 1/5, 0.203, 2/5 Put 20, -48, 1 in descending order. 20, 1, -48 Sort -3, 0, 0.4, 0.5, 2/17 in increasing order. -3, 0, 2/17, 0.4, 0.5 Sort 2, -5, 1, 11 in ascending order. -5, 1, 2, 11 Sort 5/23, -3, 5, -0.1, -4/3 in increasing order. -3, -4/3, -0.1, 5/23, 5 Sort 2/31, 1, -2/9, 5 in descending order. 5, 1, 2/31, -2/9 Sort 0.3, -7.1, 3, 1/3 in descending order. 3, 1/3, 0.3, -7.1 Sort 2, 0, -4, -205 in decreasing order. 2, 0, -4, -205 Sort -3, 2, -4, -1, 125 in increasing order. -4, -3, -1, 2, 125 Put 30, 3, -4 in decreasing order. 30, 3, -4 Sort -11, 0, -3, 4 in increasing order. -11, -3, 0, 4 Put -4, 5, -3, 4, -34 in decreasing order. 5, 4, -3, -4, -34 Sort 4, 0.1, 6.63. 0.1, 4, 6.63 Sort 0.02, 67, 2/11 in decreasing order. 67, 2/11, 0.02 Sort 6/17, 0, -2.9, 0.2 in descending order. 6/17, 0.2, 0, -2.9 Put 5, -0.3, 0.04, -38 in descending order. 5, 0.04, -0.3, -38 Put -3/4, -3/7, -1/12, -2 in ascending order. -2, -3/4, -3/7, -1/12 Put 713, 3, 2, 4, -1 in descending order. 713, 4, 3, 2, -1 Sort 126, 1/4, 0.01, 1 in descending order. 126, 1, 1/4, 0.01 Put 10, -0.1, -4/7 in decreasing order. 10, -0.1, -4/7 Sort 5, 3, -3, 25, -15 in increasing order. -15, -3, 3, 5, 25 Put 3, 2, 74, 4 in decreasing order. 74, 4, 3, 2 Put -2, 0.005, 3/16 in ascending order. -2, 0.005, 3/16 Sort -0.4, 19, -4, -7/4. -4, -7/4, -0.4, 19 Sort -140, 47, -5 in increasing order. -140, -5, 47 Sort -5, 1, 4, -3, -2/11 in decreasing order. 4, 1, -2/11, -3, -5 Sort 5, -54, -5, 2 in decreasing order. 5, 2, -5, -54 Sort 67, 4, 0, -9, 2 in ascending order. -9, 0, 2, 4, 67 Sort -1, 6, -21, -4. -21, -4, -1, 6 Sort 12.6, 1, -0.1 in increasing order. -0.1, 1, 12.6 Sort -8, 2/3, -7, 0.4 in ascending order. -8, -7, 0.4, 2/3 Sort 4, 5, -6, 2, 48 in descending order. 48, 5, 4, 2, -6 Put 0.08, 0.1, 1/4, 2/3 in ascending order. 0.08, 0.1, 1/4, 2/3 Put -5, 6, 0 in ascending order. -5, 0, 6 Put 6, 4, -4 in ascending order. -4, 4, 6 Sort 3, -3/2, 3/74 in descending order. 3, 3/74, -3/2 Sort 4, -2, -31, -1 in descending order. 4, -1, -2, -31 Put -8, 0.18, -3 in descending order. 0.18, -3, -8 Sort 2, 4, -234, 5 in decreasing order. 5, 4, 2, -234 Put 4, 9, -6, -5, -3 in descending order. 9, 4, -3, -5, -6 Sort -55, 5, 4/3 in descending order. 5, 4/3, -55 Sort -1, -5, -0.3, 0.02 in descending order. 0.02, -0.3, -1, -5 Sort -5, 2, -4, 41. -5, -4, 2, 41 Put -2/5, 5, 0.041 in increasing order. -2/5, 0.041, 5 Put -5, -0.06, 3, 2/13 in decreasing order. 3, 2/13, -0.06, -5 Put 0.01, -30, 0, 4, -2/9 in increasing order. -30, -2/9, 0, 0.01, 4 Sort -4, 5, -285, 0, -5 in decreasing order. 5, 0, -4, -5, -285 Sort 0.5, 3/16, 3, 0.4, -14 in descending order. 3, 0.5, 0.4, 3/16, -14 Put -2, 3.2, -0.1, -1 in descending order. 3.2, -0.1, -1, -2 Sort 20, -31, -5 in descending order. 20, -5, -31 Sort 73, -2/7, 0 in descending order. 73, 0, -2/7 Sort 0.05, 15, -6 in descending order. 15, 0.05, -6 Sort 5/4, -2/5, -4, -18/11, 0.5 in decreasing order. 5/4, 0.5, -2/5, -18/11, -4 Put 0, -1/2, 1/5, -0.3 in decreasing order. 1/5, 0, -0.3, -1/2 Sort -3, 0, -1, 54 in ascending order. -3, -1, 0, 54 Sort 8, 6, 2/99 in descending order. 8, 6, 2/99 Put 4, -1, 7 in descending order. 7, 4, -1 Sort 0.214, 2, 14 in decreasing order. 14, 2, 0.214 Sort 3, -4, -30, -5 in decreasing order. 3, -4, -5, -30 Sort -7, -43, -2 in descending order. -2, -7, -43 Put -0.071, -3, -2, 1 in descending order. 1, -0.071, -2, -3 Put -5, -4, -0.051, -1 in increasing order. -5, -4, -1, -0.051 Sort 163, -3/8, 2/15 in decreasing order. 163, 2/15, -3/8 Put -43/10, 2/13, -62 in ascending order. -62, -43/10, 2/13 Put -4, -64, -3, -1 in descending order. -1, -3, -4, -64 Sort 5, 3, 54, -4, -10 in increasing order. -10, -4, 3, 5, 54 Put -0.5, 0.6, 0.9 in ascending order. -0.5, 0.6, 0.9 Sort 0, 0.06, 1/5, 0.14 in descending order. 1/5, 0.14, 0.06, 0 Sort -1, -4, 302, 3 in increasing order. -4, -1, 3, 302 Put 4, 0.3, 0.03 in decreasing order. 4, 0.3, 0.03 Sort -9, 1, 18, -4 in ascending order. -9, -4, 1, 18 Put -1/3, 0.1, 3, -131, 2 in descending order. 3, 2, 0.1, -1/3, -131 Sort 2, -5, 1 in increasing order. -5, 1, 2 Put -4, -2, -29, -1, -19 in increasing order. -29, -19, -4, -2, -1 Sort -10, -4, -0.3, -37. -37, -10, -4, -0.3 Sort 5, -181, 3 in ascending order. -181, 3, 5 Put -3, -100, 22, 0 in descending order. 22, 0, -3, -100 Put 3, 1, 101, -1, 12 in descending order. 101, 12, 3, 1, -1 Sort -4, 5, -10, 0 in descending order. 5, 0, -4, -10 Put -84, -2, -5, 0 in descending order. 0, -2, -5, -84 Put 10, 0, -98 in descending order. 10, 0, -98 Put 22, -1, -190 in decreasing order. 22, -1, -190 Put 0.4, 0.1, 0.04, -1/3 in decreasing order. 0.4, 0.1, 0.04, -1/3 Sort 7, -5, 23, -3 in descending order. 23, 7, -3, -5 Put -0.4, 3, -0.3, -2/9, 0.1 in descending order. 3, 0.1, -2/9, -0.3, -0.4 Put 0.4, -0.063, 4 in increasing order. -0.063, 0.4, 4 Put -62, 4, -1, -0.5 in decreasing order. 4, -0.5, -1, -62 Sort 0.05, 139, -0.2, 2 in descending order. 139, 2, 0.05, -0.2 Sort -1, 0.04, 4, -0.2. -1, -0.2, 0.04, 4 Put -2, -5, 43, -1, 0 in descending order. 43, 0, -1, -2, -5 Sort 3, -3, -18, -5 in descending order. 3, -3, -5, -18 Sort -4, 3, -1, -33898, -3 in decreasing order. 3, -1, -3, -4, -33898 Sort 6/19, -1, 1/4, 1, -8/3 in decreasing order. 1, 6/19, 1/4, -1, -8/3 Sort -3, 11, 3 in decreasing order. 11, 3, -3 Put 5, 3.2, 0.5 in increasing order. 0.5, 3.2, 5 Sort 1, 149, 0 in descending order. 149, 1, 0 Sort -16, 1/5, 55. -16, 1/5, 55 Put -3, -0.2, 5/4, -0.14, -0.1 in ascending order. -3, -0.2, -0.14, -0.1, 5/4 Sort -1, 5, 63, -6, 4. -6, -1, 4, 5, 63 Sort -33/10, -0.5, 2/5, -3 in descending order. 2/5, -0.5, -3, -33/10 Sort -2/11, 8, 4/3 in ascending order. -2/11, 4/3, 8 Sort 2/7, -193.6, 1/6 in descending order. 2/7, 1/6, -193.6 Sort -5, 13, -4. -5, -4, 13 Sort 28, -3, 34 in decreasing order. 34, 28, -3 Put 6, 1, 4, 57, 2 in decreasing order. 57, 6, 4, 2, 1 Put 5, -1, 1, -60 in ascending order. -60, -1, 1, 5 Put 5.3, 3, -1/4 in increasing order. -1/4, 3, 5.3 Sort 22, 0.8, -0.4. -0.4, 0.8, 22 Put 4, 0, 5, -20, 11 in decreasing order. 11, 5, 4, 0, -20 Sort 15, 5, -48, 4 in descending order. 15, 5, 4, -48 Put -2, 9, -10, 0, 2 in descending order. 9, 2, 0, -2, -10 Sort 2186, -3, 4, -4 in ascending order. -4, -3, 4, 2186 Sort -4, 39, 3, -1, 54 in decreasing order. 54, 39, 3, -1, -4 Put -2, -1, -4, -141, -5 in increasing order. -141, -5, -4, -2, -1 Put -39, -0.2, 2/19, -2 in ascending order. -39, -2, -0.2, 2/19 Sort 39, 2, -156 in ascending order. -156, 2, 39 Put -1, -2, -16, 4, 6 in decreasing order. 6, 4, -1, -2, -16 Sort -44, -5, -3, -14 in descending order. -3, -5, -14, -44 Sort -5, -1, -34 in decreasing order. -1, -5, -34 Sort 4, 0, 13.6 in descending order. 13.6, 4, 0 Put -29, 3, -5 in ascending order. -29, -5, 3 Sort 3, -3, 6, 13. -3, 3, 6, 13 Put 2, -67, 30, -5 in descending order. 30, 2, -5, -67 Put 2, -5, 3, -22 in decreasing order. 3, 2, -5, -22 Sort -5, 271, 5, -0.3 in ascending order. -5, -0.3, 5, 271 Put -2, 0.5, 3, -0.017 in increasing order. -2, -0.017, 0.5, 3 Sort 98, 1, 0, 2, 5. 0, 1, 2, 5, 98 Sort -6, -7, 7 in descending order. 7, -6, -7 Put -2, 1, 694 in ascending order. -2, 1, 694 Sort -5, -9, 1 in decreasing order. 1, -5,
{ "pile_set_name": "DM Mathematics" }
3, 19, 257639 What are the prime factors of 465078817? 7, 107, 620933 List the prime factors of 918232611. 3, 17, 23, 349, 2243 What are the prime factors of 292687160? 2, 5, 7317179 List the prime factors of 711529196. 2, 7, 23, 157837 List the prime factors of 307774957. 7, 971, 45281 What are the prime factors of 884503003? 227, 3896489 List the prime factors of 1186716677. 47, 929, 27179 What are the prime factors of 210728569? 210728569 List the prime factors of 1432553392. 2, 89534587 List the prime factors of 37615885. 5, 7523177 What are the prime factors of 2890691947? 11, 13, 277, 72977 What are the prime factors of 1627511888? 2, 101719493 List the prime factors of 45402791. 7, 167, 38839 What are the prime factors of 924512260? 2, 5, 7, 19, 347561 List the prime factors of 1100540221. 11, 1627, 61493 List the prime factors of 4704622531. 7, 41, 16392413 What are the prime factors of 1461422679? 3, 487140893 What are the prime factors of 127788578? 2, 479, 133391 List the prime factors of 87415244. 2, 7, 3121973 List the prime factors of 900656820. 2, 3, 5, 7, 79423 What are the prime factors of 1935636050? 2, 5, 1987, 19483 What are the prime factors of 3281502601? 13, 3571, 70687 List the prime factors of 854009691. 3, 37, 431, 17851 List the prime factors of 351329688. 2, 3, 181, 26959 List the prime factors of 4241788814. 2, 2120894407 List the prime factors of 1416772673. 17, 83339569 What are the prime factors of 150643073? 7, 541, 39779 List the prime factors of 7350167. 11, 691, 967 What are the prime factors of 443679949? 8521, 52069 List the prime factors of 1065634557. 3, 13, 43, 635441 What are the prime factors of 651513860? 2, 5, 32575693 What are the prime factors of 174521655? 3, 5, 7, 11, 103, 163 What are the prime factors of 623628580? 2, 5, 1039, 30011 What are the prime factors of 582219294? 2, 3, 97036549 List the prime factors of 2101071481. 2101071481 List the prime factors of 614048441. 19, 113, 2531 List the prime factors of 74993302. 2, 37, 283, 3581 What are the prime factors of 84919105? 5, 23, 29, 25463 What are the prime factors of 898072451? 898072451 What are the prime factors of 76811774? 2, 13, 2954299 What are the prime factors of 87336967? 617, 141551 List the prime factors of 1648008999. 3, 7, 13, 2012221 List the prime factors of 25080885. 3, 5, 349, 1597 List the prime factors of 306953545. 5, 29, 2116921 List the prime factors of 80182296. 2, 3, 1113643 List the prime factors of 34985832. 2, 3, 7, 29, 43, 167 List the prime factors of 68814216. 2, 3, 29, 32957 What are the prime factors of 2672489328? 2, 3, 6299, 8839 List the prime factors of 395507914. 2, 19, 47, 71, 3119 What are the prime factors of 3765407444? 2, 29, 47, 599, 1153 What are the prime factors of 194613436? 2, 331, 146989 List the prime factors of 1010137887. 3, 11, 107, 8669 What are the prime factors of 7295150? 2, 5, 145903 What are the prime factors of 907737352? 2, 29, 103, 37987 What are the prime factors of 96627653? 4789, 20177 List the prime factors of 2816620554. 2, 3, 11, 17, 349, 7193 What are the prime factors of 665975458? 2, 8317, 40037 What are the prime factors of 399296538? 2, 3, 43, 515887 List the prime factors of 3207178679. 3677, 872227 What are the prime factors of 146805907? 5801, 25307 What are the prime factors of 1497125247? 3, 17, 131, 331, 677 List the prime factors of 40420717. 40420717 List the prime factors of 261553458. 2, 3, 733, 59471 List the prime factors of 22996113. 3, 7, 23, 47, 1013 List the prime factors of 62698317. 3, 11, 1899949 What are the prime factors of 26890409? 7, 13, 109, 2711 What are the prime factors of 395144245? 5, 79028849 What are the prime factors of 6835636886? 2, 13, 262909111 List the prime factors of 161781047. 161781047 What are the prime factors of 27433747? 11, 1069, 2333 List the prime factors of 2908616950. 2, 5, 241, 281, 859 What are the prime factors of 283873166? 2, 8609, 16487 What are the prime factors of 84524701? 23, 211, 17417 What are the prime factors of 61292083? 61292083 List the prime factors of 82366521. 3, 27455507 List the prime factors of 120714439. 9473, 12743 What are the prime factors of 247447154? 2, 419, 295283 List the prime factors of 310187099. 41, 7565539 List the prime factors of 218672938. 2, 11, 17, 19, 30773 What are the prime factors of 262681131? 3, 1619, 54083 List the prime factors of 174217943. 53, 347, 9473 List the prime factors of 68019872. 2, 2125621 What are the prime factors of 414637295? 5, 82927459 List the prime factors of 1374094868. 2, 343523717 What are the prime factors of 660001917? 3, 19, 11578981 What are the prime factors of 269169791? 11, 137, 178613 List the prime factors of 1126308332. 2, 281577083 What are the prime factors of 2977280421? 3, 89, 11150863 List the prime factors of 61364880. 2, 3, 5, 85229 List the prime factors of 2612361. 3, 870787 What are the prime factors of 56530589? 907, 62327 List the prime factors of 165634292. 2, 6053, 6841 List the prime factors of 622945544. 2, 13, 83, 72167 List the prime factors of 125933698. 2, 11, 151, 167, 227 What are the prime factors of 8235183285? 3, 5, 7, 241, 15497 List the prime factors of 1875385141. 7, 17, 41, 67, 5737 List the prime factors of 64052275. 5, 7, 366013 What are the prime factors of 74251934? 2, 37125967 What are the prime factors of 87030676? 2, 21757669 What are the prime factors of 3787512768? 2, 3, 13, 505811 What are the prime factors of 115139683? 103, 1117861 List the prime factors of 594493396. 2, 7, 199, 106693 What are the prime factors of 191480822? 2, 13, 19, 387613 List the prime factors of 93845046. 2, 3, 59, 179, 1481 List the prime factors of 1066873685. 5, 2713, 78649 What are the prime factors of 137243387? 1787, 76801 What are the prime factors of 1673267860? 2, 5, 11, 691433 List the prime factors of 2365542939. 3, 23, 34283231 List the prime factors of 25483917. 3, 47, 149, 1213 List the prime factors of 29852474. 2, 73, 139, 1471 List the prime factors of 37142061. 3, 11, 31, 36307 List the prime factors of 3026711289. 3, 7, 23, 6266483 What are the prime factors of 2531697494? 2, 17, 1553, 47947 What are the prime factors of 219234670? 2, 5, 1433, 15299 List the prime factors of 226446222. 2, 3, 17, 293, 7577 What are the prime factors of 2003747072? 2, 127, 61631 What are the prime factors of 320856944? 2, 31, 646889 What are the prime factors of 2989188486? 2, 3, 37, 4488271 List the prime factors of 903921929. 29311, 30839 List the prime factors of 170328015. 3, 5, 11, 13, 17, 173 What are the prime factors of 699682015? 5, 41, 3413083 List the prime factors of 109023466. 2, 31, 1758443 List the prime factors of 5617051470. 2, 3, 5, 29, 2152127 What are the prime factors of 538824001? 277, 443, 4391 List the prime factors of 179980252. 2, 5981, 7523 List the prime factors of 684198729. 3, 76022081 What are the prime factors of 1000866688? 2, 7819271 What are the prime factors of 89068466? 2, 19, 23, 101, 1009 What are the prime factors of 92815314? 2, 3, 37, 418087 What are the prime factors of 515232407? 23, 43, 520963 List the prime factors of 185646182. 2, 92823091 What are the prime factors of 258953681? 7, 754967 What are the prime factors of 25848443? 1319, 19597 List the prime factors of 701957218. 2, 163, 2153243 List the prime factors of 750422930. 2, 5, 101, 742993 List the prime factors of 46633865. 5, 71, 131363 List the prime factors of 36487503. 3, 13, 34651 List the prime factors of 41043034. 2, 359, 57163 List the prime factors of 115442975. 5, 139, 239 List the prime factors of 7815501. 3, 289463 List the prime factors of 7754281. 29, 267389 What are the prime factors of 1197951826? 2, 23, 67, 388693 What are the prime factors of 937638193? 12821, 73133 What are the prime factors of 350611805? 5, 239, 293399 List the prime factors of 45129286. 2, 773, 29191 What are the prime factors of 317715535? 5, 47, 1351981 What are the prime factors of 4166454451? 4166454451 List the prime factors of 1213460251. 19, 37, 61, 28297 List the prime factors of 53537598. 2, 3, 97, 3407 List the prime factors of 181247067. 3, 283, 71161 What are the prime factors of 447062545? 5, 163, 548543 List th
{ "pile_set_name": "DM Mathematics" }
alculate -5 divided by -138530. 1/27706 Calculate 17821 divided by 6. 17821/6 What is 1 divided by 14348? 1/14348 Calculate 79 divided by -8437. -79/8437 Calculate 1866 divided by 65. 1866/65 Calculate -2 divided by 1636277. -2/1636277 Divide 92 by 617. 92/617 1261611 divided by 533 2367 What is 31614 divided by -33? -958 Calculate 153 divided by -2211. -51/737 5 divided by 1443 5/1443 Divide 0 by 14046. 0 Divide 7565885 by 13985. 541 Calculate -1649895 divided by 5. -329979 Calculate -10128 divided by 10128. -1 Divide 39846 by 458. 87 Calculate 433296 divided by -24072. -18 Divide -2700 by 440. -135/22 -440792 divided by 220396 -2 What is -249210 divided by 1? -249210 1630 divided by 59 1630/59 Divide 3 by 9026. 3/9026 Calculate 6624 divided by 8. 828 Divide 1080 by -97. -1080/97 4040 divided by -652 -1010/163 Divide -35226 by 1. -35226 Divide -264885 by -88295. 3 What is -646839 divided by 9? -71871 Divide -76 by 15375. -76/15375 What is -5069502 divided by 306? -16567 What is 28258 divided by -3? -28258/3 Divide 395646 by -1. -395646 Divide 45480 by -113. -45480/113 What is 7 divided by -415334? -7/415334 Calculate 16242 divided by -2. -8121 Calculate -25620 divided by -2135. 12 What is -86 divided by -13730? 43/6865 Divide -613756 by 29. -21164 What is 57 divided by -6215? -57/6215 Divide 61869 by 33. 20623/11 184480 divided by -5 -36896 Calculate -4616 divided by -20. 1154/5 Calculate -217355 divided by 1499. -145 Divide 39 by 1636. 39/1636 Calculate -324564 divided by 731. -444 19434 divided by -82 -237 Divide -67 by -2029. 67/2029 67476 divided by 33738 2 What is 15004 divided by 535? 15004/535 What is 673160 divided by -4? -168290 What is 351 divided by -61? -351/61 What is 3598482 divided by 1199494? 3 Calculate 1627683 divided by -159. -10237 23248 divided by 2906 8 What is -23000 divided by 575? -40 What is -869 divided by -24? 869/24 Divide 639226 by 1. 639226 Divide 60316 by 3548. 17 -7 divided by 808595 -7/808595 Calculate -21275 divided by 5. -4255 -418 divided by 5 -418/5 Calculate 75531 divided by 1481. 51 What is 2 divided by 591219? 2/591219 890568 divided by 12 74214 What is -478652 divided by 34? -14078 -5 divided by -7977 5/7977 Calculate -35805 divided by -31. 1155 Calculate -273 divided by -923. 21/71 Calculate -564953 divided by -37. 15269 -2 divided by 313680 -1/156840 What is -17262 divided by 18? -959 -371920 divided by 92980 -4 3492 divided by 205 3492/205 What is -13429 divided by -3? 13429/3 -52372 divided by 4 -13093 Calculate 719 divided by 789. 719/789 Divide 2 by -89906. -1/44953 What is -2798 divided by -52? 1399/26 Divide -3707811 by 3. -1235937 15 divided by -1149 -5/383 Divide -3386 by 23. -3386/23 Divide -19222 by -4. 9611/2 1 divided by -9423 -1/9423 What is -1058970 divided by -33? 32090 What is -151987 divided by 5? -151987/5 Calculate -246 divided by 4383. -82/1461 Calculate 1889 divided by -259. -1889/259 Divide 16026 by 3. 5342 What is 187633 divided by -187633? -1 What is -158 divided by 1466? -79/733 Divide 84591 by 27. 3133 Divide 239631 by -21. -11411 Calculate 2 divided by 5571. 2/5571 What is 0 divided by 31606? 0 Divide -931 by -49. 19 33 divided by -573 -11/191 16 divided by -14538 -8/7269 Calculate 2196 divided by -10. -1098/5 What is -19176 divided by 2397? -8 Divide 4 by 41755. 4/41755 What is -1844612 divided by 791? -2332 What is -241680 divided by 760? -318 Calculate -1 divided by -5275. 1/5275 349 divided by 2800 349/2800 174054 divided by -2 -87027 Divide -2719250 by 10. -271925 What is 1130240 divided by 4415? 256 What is -208881 divided by -208881? 1 Divide 1434840 by 88. 16305 Calculate 377190 divided by 127. 2970 Divide -6787396 by -14. 484814 170450 divided by -50 -3409 Divide -13876816 by -4. 3469204 What is 14 divided by -401? -14/401 Divide 38410 by -7. -38410/7 Divide -5 by 16298. -5/16298 -22055 divided by 4411 -5 Divide 529 by 841. 529/841 Divide 1491740 by 298348. 5 Divide 251 by 3816. 251/3816 Calculate -42922 divided by 31. -42922/31 Calculate -421539 divided by -4. 421539/4 Calculate 4320 divided by -45. -96 Divide -22176 by -198. 112 What is 433086 divided by -7598? -57 -19290 divided by -10 1929 -141249 divided by 239 -591 -121212 divided by -4 30303 Divide -182 by -503. 182/503 -172 divided by 175 -172/175 Divide 7607 by 40. 7607/40 What is 0 divided by 11684? 0 Calculate -43064 divided by -3. 43064/3 Divide -120157 by 2. -120157/2 Calculate -10 divided by -15809. 10/15809 What is 6 divided by -2362? -3/1181 Calculate -2378572 divided by 1052. -2261 -7866 divided by -6 1311 Calculate -70952 divided by 1. -70952 Divide 4 by -70307. -4/70307 1113 divided by 403 1113/403 Divide 11584 by -7. -11584/7 6328 divided by -291 -6328/291 16187 divided by 23 16187/23 Calculate 1114144 divided by -139268. -8 What is 1681 divided by 228? 1681/228 2918 divided by 16 1459/8 What is -503709 divided by 8837? -57 What is 73080 divided by -2436? -30 Calculate -22747 divided by -3. 22747/3 Divide -769224 by -192306. 4 278703 divided by 173 1611 Calculate -676645 divided by 135329. -5 -1956 divided by 756 -163/63 Calculate -993811 divided by 2. -993811/2 Calculate -14 divided by 4272. -7/2136 Calculate -144100 divided by 20. -7205 What is 0 divided by 3901? 0 Calculate 94883 divided by -2. -94883/2 What is -47862 divided by -18? 2659 -4 divided by -2538 2/1269 What is 3630462 divided by -6? -605077 Divide 3 by 26439. 1/8813 Divide -2918 by -585. 2918/585 -153 divided by 95 -153/95 -101722 divided by 362 -281 What is -1060 divided by 367? -1060/367 Calculate -1646922 divided by 3. -548974 What is 927045 divided by -243? -3815 680 divided by -1161 -680/1161 -8938 divided by 218 -41 Calculate -5415 divided by -7. 5415/7 -53 divided by -26880 53/26880 -36672 divided by -53 36672/53 Calculate -514 divided by 238. -257/119 What is 6910164 divided by 6? 1151694 What is -60 divided by 1065? -4/71 1 divided by -4404 -1/4404 -312 divided by 263 -312/263 -89 divided by 5359 -89/5359 -8106 divided by 1351 -6 What is -2573424 divided by 2898? -888 Divide 189 by 1. 189 Calculate 157220 divided by 4. 39305 625026 divided by 8562 73 Calculate -1 divided by -86677. 1/86677 What is 1554751 divided by 473? 3287 Calculate 16292 divided by -16292. -1 -320266 divided by -2 160133 Calculate 38727 divided by 12909. 3 Divide -851310 by 9. -94590 -1092 divided by 91 -12 Calculate 277548 divided by -303. -916 Divide 0 by 14830. 0 Calculate 5231597 divided by -119. -43963 163360 divided by -1 -163360 What is -1036 divided by -148? 7 Calculate -897373 divided by -1. 897373 Divide 2 by 11316. 1/5658 -13 divided by 293089 -13/293089 Divide 145730 by -10. -14573 Calculate 267822 divided by -9. -29758 What is 1363 divided by 413? 1363/413 Divide 20890 by 3. 20890/3 341 divided by -5736 -341/5736 What is 13143 divided by -13? -1011 Divide -50 by 72564. -25/36282 What is 10260 divided by 855? 12 -4 divided by 104531 -4/104531 What is -1348009 divided by 1? -1348009 Calculate -9742 divided by -2. 4871 Calculate 30 divided by 6728. 15/3364 Calculate -1809670 divided by -180967. 10 Calculate 6209 divided by 74. 6209/74 545 divided by -1269 -545/1269 10676 divided by -10676 -1 What is -3 divided by 29386? -3/29386 What is -425508 divided by 106377? -4 Divide -630294 by -602. 1047 Calculate -53254 divided by 5. -53254/5 Divide -693641 by 13. -53357 Divide -508188 by 2. -254094 Calculate -544730 divided by -610. 893 Divide -1846780 by -3. 1846780/3 Calculate 19605 divided by -6. -6535/2 Calculate 0 divided by -139103. 0 -285 divided by 2510 -57/502 -4684 divided by -37 4684/37 Calculate 490 divided by -98. -5 What is 926336 divided by -4? -231584 Divide -5116 by 391. -5116/391 Calculate 315708 divided by -6. -52618 45123 divided by 169 267 Divide -1363 by -61. 1363/61 Divide 9645 by 28. 9645/28 -19721 divided by 362 -19721/362 -204004 divided by -51001 4 Divide -5 by 682872. -5/682872 Calculate -20170 divided by -5. 4034 What is -113862 divided by -7? 16266 Divide -125 by 326. -125/326 Calculate 983172 divided by -327724. -3 -1 divided by -18020 1/18020 2433 divided by -26 -2433/26 Calculate 61659 divided by -39. -1581 What is -532245 divided by 185? -2877 Calculate 75066 divided by -11. -75066/11 850 divided by -510 -5/3
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -83*x + 81*x + 128*x**3 - 40*x**3. 88*x**3 - 2*x Collect the terms in -5*w - 3*w + 8*w + 2*w**2. 2*w**2 Collect the terms in -3*v**2 + 2005952*v - 2005952*v. -3*v**2 Collect the terms in 6*v + 8*v + 1 - 3 + 4. 14*v + 2 Collect the terms in -25*h**2 + 25*h**2 - 92*h**3. -92*h**3 Collect the terms in 573*a**2 - 3*a**3 + 2*a**3 - 1147*a**2 + 574*a**2. -a**3 Collect the terms in y**2 - 7*y**3 + 20*y + 4*y**3 - y**2. -3*y**3 + 20*y Collect the terms in -2*b**2 + 12 - 6 - 6. -2*b**2 Collect the terms in -20 + 13 + 3 + 4 - 7*z**2. -7*z**2 Collect the terms in 92*c + 1 - 1. 92*c Collect the terms in 20*b - 3*b + 8*b - 4*b. 21*b Collect the terms in 3*c + 14 - 14. 3*c Collect the terms in 3*a**3 + 4 + 6 + 0 - 10. 3*a**3 Collect the terms in -20 - 2*l**2 + 8 + 8 + 4. -2*l**2 Collect the terms in 10*n**3 - 488 + 488. 10*n**3 Collect the terms in 11*b**3 - 16*b**3 - 8*b**3. -13*b**3 Collect the terms in 30*w + 1 - 23*w - 49*w. -42*w + 1 Collect the terms in -3 + 5166*h**2 + 3 - 5162*h**2. 4*h**2 Collect the terms in 66407*z**2 + 0*z**3 + 3*z**3 - 66407*z**2. 3*z**3 Collect the terms in 2*k**2 + 14*k**2 - 14*k**2 + 67*k**2. 69*k**2 Collect the terms in -7*r + 0*r + 13*r - 9*r. -3*r Collect the terms in -87 + 87 + 3*x. 3*x Collect the terms in 35*h - 16*h - 5*h - 4*h - 11*h. -h Collect the terms in 14*s**2 + 7*s**2 + 10*s - 10*s. 21*s**2 Collect the terms in p - 7*p**3 + 9*p**3 + 11*p**2 - p. 2*p**3 + 11*p**2 Collect the terms in 22*q - 8*q - 13*q. q Collect the terms in -10 + 204*z**2 + 10. 204*z**2 Collect the terms in -g**3 - 2598271*g**2 + 2*g**3 + 2598271*g**2. g**3 Collect the terms in -18*i**3 - 18*i**3 + 27*i**3. -9*i**3 Collect the terms in -2*s - 51 + 4*s - 58. 2*s - 109 Collect the terms in -n**2 + 2*n**2 - n**2 - 1 - 1253*n**3. -1253*n**3 - 1 Collect the terms in 52 - 52 + 43*s. 43*s Collect the terms in 742*l - 7*l**2 - 742*l. -7*l**2 Collect the terms in 2*s - 9*s + 11*s. 4*s Collect the terms in -10*t**3 + 16*t + 20*t**3 - 16*t. 10*t**3 Collect the terms in m - 3*m + 214 - 210. -2*m + 4 Collect the terms in 62*f**2 + 248*f**2 + 8*f**2. 318*f**2 Collect the terms in k**2 - 21*k**2 - 27*k**2. -47*k**2 Collect the terms in 2 - 3*j + 27*j + 26*j + j. 51*j + 2 Collect the terms in -11*f**3 + 42*f**3 + 23*f**3. 54*f**3 Collect the terms in 14 - 19 + 2*b**2 + 0 + 5. 2*b**2 Collect the terms in -13*f - 15*f + 475*f. 447*f Collect the terms in -14*c**2 + 14 + 13*c**2 - 14. -c**2 Collect the terms in 34 - 70 + 36 + 3*g. 3*g Collect the terms in 12 - 6*h + 15 - 27 + h. -5*h Collect the terms in -2*b**2 + 75031 - 75031. -2*b**2 Collect the terms in -17*w**2 - 7*w**2 + 12*w**2 + 15*w**2. 3*w**2 Collect the terms in -1927*z**2 + 638*z**2 + 641*z**2 + 646*z**2. -2*z**2 Collect the terms in 14*f**3 + 16*f**3 - 27*f**3. 3*f**3 Collect the terms in 235*d - 168*d - 65*d. 2*d Collect the terms in -12*c + c**3 - 14*c + 24*c. c**3 - 2*c Collect the terms in 29*d**3 + 34*d**3 - 69*d**3. -6*d**3 Collect the terms in 142*z**2 + 103*z**3 - 142*z**2 - 105*z**3. -2*z**3 Collect the terms in -5*n - 6*n + 15*n - 5*n. -n Collect the terms in 121*p**3 + 108*p**3 - 227*p**3. 2*p**3 Collect the terms in 339 + 0*g**2 - 244 + 0*g**2 + g**3. g**3 + 95 Collect the terms in -8 + 6 + 2 - 13*b. -13*b Collect the terms in -2*n**2 - 41*n**2 - 7*n**2 + 52*n**2. 2*n**2 Collect the terms in 40 - 76 + 36 + p. p Collect the terms in 8*k**2 + 160*k + 12*k**2 - 160*k. 20*k**2 Collect the terms in p**3 + 26 + 5*p**3 + 38. 6*p**3 + 64 Collect the terms in -526*l - 2*l**3 + 260*l + 266*l. -2*l**3 Collect the terms in -30*u**3 + 49*u**3 - 16*u**3. 3*u**3 Collect the terms in -1699 - 1697 + 3396 + 2*r. 2*r Collect the terms in -8*m - 2*m + 6*m + 5*m. m Collect the terms in -7*h - 13*h + 6*h + h. -13*h Collect the terms in -3*n**3 - 5*n**3 + 3*n**3 - n**3. -6*n**3 Collect the terms in 252 - 36*p**3 - 252 + 32*p**3. -4*p**3 Collect the terms in 9*v**3 - 12*v**3 + 26*v**3. 23*v**3 Collect the terms in -23*p**3 - 20*p**3 - 18*p**3 + 51*p**3. -10*p**3 Collect the terms in 11*u + 55*u**2 - 11*u. 55*u**2 Collect the terms in -4*y + y + y + 2115 - 2115. -2*y Collect the terms in 34*j + 24*j - 71*j. -13*j Collect the terms in -3*c**3 - 345*c**2 + 172*c**2 + 173*c**2. -3*c**3 Collect the terms in -32*x**3 + x**3 + 9*x**3 + 6*x**3. -16*x**3 Collect the terms in 26*o**3 - 5*o**2 - 31*o**3 + 2*o**2. -5*o**3 - 3*o**2 Collect the terms in 0*n + 34*n + 11*n - 4*n. 41*n Collect the terms in 5*w**2 - w**2 + 5*w**2 - 4*w**2. 5*w**2 Collect the terms in 26*f**3 - 301*f - 25*f**3 - 77*f. f**3 - 378*f Collect the terms in -2 + 24*c + 2 + 77*c. 101*c Collect the terms in 289*t**2 - 146*t**2 - 140*t**2. 3*t**2 Collect the terms in 3*o**3 + 19*o + 61*o - 18*o. 3*o**3 + 62*o Collect the terms in -327*z - 332*z - 680*z. -1339*z Collect the terms in 3 - 3 - 5*h**2 + 4*h**2. -h**2 Collect the terms in -9*v**2 - v**2 + 12*v**2. 2*v**2 Collect the terms in 10*d**2 + d**2 + 7*d**2. 18*d**2 Collect the terms in -18*u - 540 + 540. -18*u Collect the terms in 1983*i - 991*i - 994*i. -2*i Collect the terms in -6 + 43*q - 20*q - 24*q. -q - 6 Collect the terms in -7 + 3 + 5*z**3 - 2*z**3 + 5*z**3. 8*z**3 - 4 Collect the terms in -25*p**2 - 3*p**2 - 2*p**2 + 9*p**2. -21*p**2 Collect the terms in -11*v**3 - 5*v + v + 4*v. -11*v**3 Collect the terms in 46*u - 2 + 2 + 30*u. 76*u Collect the terms in 1 - 17*j**3 - 1 - 12*j**3. -29*j**3 Collect the terms in 416*o**2 + 0 + 0 - 415*o**2. o**2 Collect the terms in 32*s + 1 - 1. 32*s Collect the terms in -751*y - 22*y**3 + 751*y. -22*y**3 Collect the terms in 11*c**2 + 35*c + 39*c - 74*c. 11*c**2 Collect the terms in 56*d - 109*d + 20*d**2 + 53*d. 20*d**2 Collect the terms in -8*s**2 - s**3 + 8*s**2 - 6*s**3. -7*s**3 Collect the terms in -17*y + 35*y - 7*y. 11*y Collect the terms in -58*l**3 - 1 - 12*l**2 + 1 + 59*l**3. l**3 - 12*l**2 Collect the terms in 35*i**3 - 13*i**3 - 25*i**3. -3*i**3 Collect the terms in 10*g**2 + 16*g**2 + 10*g**2 - 8*g**2. 28*g**2 Collect the terms in 4639*o - o**2 + 2*o**2 - 4639*o. o**2 Collect the terms in 48*u**2 - 54*u**2 - 12 + 12. -6*u**2 Collect the terms in -146*f - 141*f + 251*f. -36*f Collect the terms in -95*w**3 - 64*w**3 - 603*w + 603*w. -159*w**3 Collect the terms in 9505*z - 4750*z - 4749*z. 6*z Collect the terms in 48*f - 29*f - 30*f. -11*f Collect the terms in 32*n**2 + 735*n**2 + 391*n**2. 1158*n**2 Collect the terms in -117*z - 2*z**3 - 122*z + 239*z. -2*z**3 Collect the terms in 530*b - 1067*b + 529*b. -8*b Collect the terms in -142 + 291 - 149 - 3*u**2. -3*u**2 Collect the terms in 3 - 3 + 867*v**2 + 2*v. 867*v**2 + 2*v Collect the terms in 19*t**2 + 0*t**3 - 17*t**3 - 19*t**2. -17*t**3 Collect the terms in 3*b - 3*b + 0*b + 12*b - 6*b. 6*b Collect the terms in 5*q - 36*q - 34*q. -65*q Collect the terms in 2017 - 2*v**2 - 2016 + 0*v**2. -2*v**2 + 1 Collect the terms in 2*z**2 - 5*z**2 + 6*z**2 + 0*z**2. 3*z**2 Collect the terms in 2 - 2 + 12*q - q. 11*q Collect the terms in 17*u**3 + 14*u**3 + 18*u**3 - 50*u**3. -u**3 Collect the terms in k**3 - 2*k**3 + 11*k**3. 10*k**3 Collect the terms in 11 - 16 + 5 + 2*k**3. 2*k**3 Collect the terms in -3*s**3 + 12*s**3 - 7*s**3. 2*s**3 Collect the terms in 212 - 212 - 14*w. -14*w Collect the terms in -5*s + 18*s + 11*s - 6*s. 18*s Collect the terms in 92*t + 9 - 9 + 78*t. 170*t Collect the terms in 1 + 0 + 20*p - 1. 20*p Collect the terms in 2*q**2 - q**2 + q**2 - 2*q**2 - 4*q**3. -4*q**3 Collect the terms in 37 - 91 + 54 - 4*j**2. -4*j**2 Collect the terms in 2*f**2 + 9*f**3 + 3*f**2 + 0*f**2. 9*f**3 + 5*f**2 Collect the terms in -72*n**2 + 3 - 3. -72*n**2 Collect the terms in -4*u**2 - 7*u**2 + u**2 - u**2. -11*u**2 Collect the terms in -10*g - 25*g - 11*g. -46*g Collect the terms in -5 - 8 + 0 + 13 + z**2. z**2 Collect the terms in 0*l + 23 - l - 42 + 19. -l Collect the terms in 2*g - 2499*g**2 - 2*g. -2499*g**2 Collect the terms in 5*o + 5433 - 5433. 5*o Collect the terms in -980*g**2 + 1965*g**2 - g**3 - 985*g**2. -g**3 Collect the terms in -2 + 2 + 3*r**3 + 4*r**3. 7*r**3 Collect the terms in 5*l + l**2 + l + 232*l**3 - 6*l. 232*l**3 + l**2 Collect the terms in 18*j**3 + 4*j - 11*j + 7*j. 18*j**3 Collect the terms in 1 + 0 - 3*l**2 - 1. -3*l**2 Collect the terms in 6*o**2 +
{ "pile_set_name": "DM Mathematics" }
In base 4, what is -221 - 33021? -33302 In base 7, what is -2 + -2345? -2350 In base 15, what is 1 + -5d3c? -5d3b In base 4, what is -11 - -13110300? 13110223 In base 9, what is -185 - 58766? -60062 In base 4, what is 3032 - 133? 2233 In base 6, what is -32 + 321351? 321315 In base 3, what is 101121122000 - -2? 101121122002 In base 8, what is 1 - -1531146? 1531147 In base 10, what is 243 - -135? 378 In base 14, what is 2183 + 45? 21c8 In base 8, what is -2 + 577633? 577631 In base 16, what is -84fa + -4d? -8547 In base 8, what is 21243 + -4? 21237 In base 14, what is -5 - -2b6b? 2b66 In base 10, what is -105783 + -4? -105787 In base 12, what is -9 + -1869? -1876 In base 14, what is 272 - 137c? -110a In base 3, what is -12 - 1212021121? -1212021210 In base 11, what is 6 + 394? 39a In base 4, what is -2233112 - 3? -2233121 In base 16, what is -2bdc3 - 2? -2bdc5 In base 12, what is -5 + -6021? -6026 In base 4, what is 13323122 - 13? 13323103 In base 9, what is 2788 + 157? 3056 In base 8, what is -32742 - -22? -32720 In base 13, what is 76b4a - 2? 76b48 In base 12, what is -23725 + -1? -23726 In base 8, what is -5 - 136704? -136711 In base 4, what is 0 - -120301? 120301 In base 14, what is 11 + -b585? -b574 In base 2, what is -10111 + 10101001? 10010010 In base 6, what is 155410 - -10? 155420 In base 7, what is 120 + -11520? -11400 In base 3, what is 21220010 - 2? 21220001 In base 2, what is 0 - -1011001101111111100? 1011001101111111100 In base 14, what is -1440 + 8? -1436 In base 15, what is -30 + -c7? -107 In base 6, what is 3 + 105403? 105410 In base 14, what is 75 + -193? -11c In base 13, what is 6a - b77? -b0a In base 12, what is 28 - 6170? -6144 In base 9, what is -600 + -11? -611 In base 14, what is 3 + 1b7c86? 1b7c89 In base 16, what is 55fa + -64? 5596 In base 13, what is -4563 + -116? -4679 In base 12, what is 0 - -409? 409 In base 15, what is 16196 - 0? 16196 In base 5, what is 0 - -433103? 433103 In base 9, what is -10233 + -53? -10286 In base 2, what is 1100001111001001 - 101? 1100001111000100 In base 10, what is 171 - -1109? 1280 In base 3, what is 211220121102 - -21? 211220121200 In base 14, what is 1a1 + -17a? 25 In base 12, what is -10 - 442? -452 In base 3, what is -12011112112 - 21? -12011112210 In base 16, what is -3 - 1428? -142b In base 12, what is -5 - -300a? 3005 In base 8, what is -1053364 - -2? -1053362 In base 13, what is -15 + 2116b? 21156 In base 6, what is 1125 + 11552? 13121 In base 14, what is -2040a - -4? -20406 In base 11, what is -5 - -1209681? 1209677 In base 3, what is -2011102 - 1211022? -10222201 In base 6, what is -1102233 + 0? -1102233 In base 13, what is -2 - -1a32? 1a30 In base 4, what is 20101111301 + -12? 20101111223 In base 13, what is -4 - -1986c? 19868 In base 5, what is 4 - 23231400? -23231341 In base 15, what is -1183 - 19? -119c In base 4, what is 23 + -110010? -103321 In base 15, what is -e5 - -6300? 620a In base 16, what is -349f - -5a? -3445 In base 7, what is -1026 - 1501? -2530 In base 7, what is -565 + -14536? -15434 In base 5, what is -40144 - -213? -34431 In base 15, what is 1dc1 - 0? 1dc1 In base 10, what is -10509 + 8? -10501 In base 3, what is 100210 - -1011100100? 1011201010 In base 5, what is -124020 + -334? -124404 In base 13, what is -1bc - 1155? -1344 In base 14, what is 2 + -2a68? -2a66 In base 6, what is -4 + 1015204? 1015200 In base 11, what is -204 - 305a? -3263 In base 4, what is 12222 + 2311? 21133 In base 9, what is -351 + 731? 370 In base 4, what is 2 + -230133302? -230133300 In base 16, what is 4 + -716c? -7168 In base 3, what is -12 + 11101211010? 11101210221 In base 2, what is 10110 - -11010001001? 11010011111 In base 3, what is 101102 - -1212? 110021 In base 10, what is -118197 + -1? -118198 In base 11, what is 7a6 + -546? 260 In base 6, what is 12 + 3204313? 3204325 In base 15, what is 1 - 2b98? -2b97 In base 15, what is 385c21 - 5? 385c1b In base 4, what is -332311 + 110010? -222301 In base 14, what is -1b3c64 + 0? -1b3c64 In base 4, what is -110323 + -10? -110333 In base 9, what is 2 + -10312? -10310 In base 5, what is 144 - 1134241? -1134042 In base 10, what is 12088 - 135? 11953 In base 15, what is -20e9 + -28? -2122 In base 11, what is -1025 - -31? -aa4 In base 4, what is -210 - 122122? -122332 In base 7, what is -4 + -12562? -12566 In base 2, what is 1110100011001 + 1110100? 1110110001101 In base 14, what is -ab - 33d? -40a In base 15, what is 3 - -34a? 34d In base 2, what is 1101011000011 + -11? 1101011000000 In base 9, what is 840367 + 2? 840370 In base 16, what is -767 - -1? -766 In base 11, what is 1059a - 5? 10595 In base 15, what is -551 - -11? -540 In base 4, what is 3121 - -1101? 10222 In base 9, what is 7 + -174572? -174564 In base 2, what is -10111001000110000 + 101? -10111001000101011 In base 9, what is 0 - 64745? -64745 In base 15, what is 404 + -26? 3cd In base 15, what is -2a + -1cce? -1d09 In base 7, what is 113441 + -2? 113436 In base 3, what is 210101 - 2202? 200122 In base 16, what is 5f6c + -d7? 5e95 In base 12, what is 4aa9 + -4? 4aa5 In base 13, what is 150a2 - 5? 1509a In base 2, what is 111101001100101110100 + 0? 111101001100101110100 In base 10, what is -2 + -13723? -13725 In base 13, what is -82 + 597? 515 In base 6, what is -4 - 42254055? -42254103 In base 14, what is -2771d - -18? -27705 In base 12, what is -7a + a308? a24a In base 5, what is -3 + -404202? -404210 In base 7, what is -13513 - 1? -13514 In base 15, what is 11 + -20817? -20806 In base 2, what is -100001111 - -1010001001001? 1001100111010 In base 8, what is 345 - -20? 365 In base 11, what is -19966 + 1? -19965 In base 3, what is -222 + 1101102? 1100110 In base 14, what is 11 - -15d? 170 In base 6, what is 14 - -15250? 15304 In base 13, what is -199894 + 3? -199891 In base 2, what is -11111001101 + 111? -11111000110 In base 2, what is 11000011 + 1011001011010? 1011100011101 In base 6, what is 311 + -3305? -2554 In base 7, what is -20524 + 10? -20514 In base 9, what is -4 + -165430? -165434 In base 12, what is -29 - -5a79? 5a50 In base 10, what is 12675 - -30? 12705 In base 12, what is -13192 - 9? -1319b In base 6, what is -152024 - 51? -152115 In base 14, what is -d + -78b0? -78bd In base 10, what is 792 - 385? 407 In base 10, what is 10 + 1952? 1962 In base 4, what is 2130320 + 0? 2130320 In base 3, what is 22112100000 + -11? 22112022212 In base 5, what is 3321121 + -43? 3321023 In base 2, what is 10 + -1101101001? -1101100111 In base 7, what is -3 - 640454? -640460 In base 12, what is -201 - -44? -179 In base 15, what is 8 + 61e? 627 In base 4, what is -112130023 + 3? -112130020 In base 16, what is -1 - d5a7? -d5a8 In base 15, what is 50 + 24b? 29b In base 4, what is 122001 - 20101? 101300 In base 8, what is 54362 + 3? 54365 In base 14, what is -181669 + -2? -18166b In base 9, what is -675412 - -3? -675408 In base 16, what is -765 + 28? -73d In base 16, what is 3 - 7cb6c? -7cb69 In base 5, what is -14122 - -2321? -11301 In base 3, what is -1022012220 - 101? -1022020021 In base 4, what is 103 + -12210? -12101 In base 6, what is -3452 - 241? -4133 In base 13, what is 4804 + 200? 4a04 In base 3, what is -2111100200022 + 11? -2111100200011 In base 9, what is 146455 - -4? 146460 In base 14, what is 6c - 7? 65 In base 6, what is -3 + 2215344? 2215341 In base 14, what is -ba0 + 20? -b80 In base 8, what is -221470 + -4? -221474 In base 16, what is -56e4a + 3? -56e47 In base 11, what is -3712 - 7? -3719 In base 15, what is -3d - -573? 535 In base 8, what is -4 + -25400? -25404 In base 13, what is -4 - -37963? 3795c In base 14, what is -4 + 2237d8? 2237d4 In base 3, what is -20 + -11101022? -11101112 In base 7, what is 12442 + 12? 12454 In base 12, what is 44 - 659? -615 In base 14, what is -1 - 38a66? -38a67 In base 10, what is 9709 + 3? 9712 In base 2, what is 101 - -11111100011000? 11111100011101 In base 4, what is 113200103 - 3? 113200100 In base 15, what is -36 + -119c? -11d3 In base 9, what is 17380 - -2? 17382 In base 5, what is 4 + -314431? -314422 In base 6, what is 54 - 131430? -131332 In base 3, what is 12 + -1120212021122? -1120212021110 In base 16, what is -7fc4 + 2? -7fc2 In base 14, what is c8 - -1a8? 292 In base 14, what is 612 - -2? 614 In base 7, what is 6526
{ "pile_set_name": "DM Mathematics" }
common multiple of 160 and 2369120? 2369120 What is the lowest common multiple of 8 and 171983? 1375864 What is the smallest common multiple of 7098 and 42? 7098 What is the common denominator of -95/3062 and 13/5? 15310 What is the smallest common multiple of 1089504 and 30? 5447520 What is the least common multiple of 1026236 and 12? 3078708 What is the smallest common multiple of 6486 and 207? 19458 Find the common denominator of 63/159466 and -65/142. 159466 What is the least common multiple of 52725 and 17575? 52725 What is the smallest common multiple of 1692 and 3186? 299484 Calculate the smallest common multiple of 364834 and 16. 2918672 Calculate the common denominator of 15/20284 and 107/47944. 527384 What is the common denominator of -31/1875 and 13/5625? 5625 Calculate the lowest common multiple of 1 and 57342. 57342 Calculate the common denominator of -127/72 and 14/246357. 1970856 Calculate the smallest common multiple of 106720 and 53360. 106720 Calculate the lowest common multiple of 7 and 895580. 895580 What is the lowest common multiple of 284 and 10555? 2997620 Calculate the least common multiple of 2365 and 154. 33110 Calculate the smallest common multiple of 82308 and 24. 164616 Find the common denominator of 49/29 and -13/74878. 74878 What is the lowest common multiple of 54 and 2148? 19332 Calculate the smallest common multiple of 64670 and 6090. 1358070 Calculate the common denominator of 42/5 and -17/19469. 97345 What is the lowest common multiple of 573832 and 14? 573832 What is the common denominator of 31/172745 and -38/103647? 518235 What is the least common multiple of 18 and 409958? 3689622 Calculate the smallest common multiple of 840 and 581. 69720 Calculate the common denominator of 65/19488 and -139/12. 19488 What is the common denominator of -5/6412 and -19/300? 480900 Find the common denominator of -73/264176 and -49/2575716. 10302864 What is the smallest common multiple of 1030 and 2630? 270890 What is the smallest common multiple of 442862 and 5? 2214310 What is the common denominator of 47/2556 and 11/9? 2556 What is the smallest common multiple of 29650 and 8895? 88950 Calculate the least common multiple of 195 and 24830. 74490 Calculate the smallest common multiple of 195 and 30. 390 Calculate the lowest common multiple of 1794 and 12. 3588 Find the common denominator of -137/540 and 23/112464. 1686960 Find the common denominator of 127/96 and 71/186456. 745824 What is the least common multiple of 4 and 4899? 19596 What is the common denominator of 73/20 and -19/15070? 30140 What is the common denominator of -125/386574 and 81/190? 1932870 Calculate the common denominator of 97/228822 and -70/3. 228822 Calculate the least common multiple of 239 and 712. 170168 What is the common denominator of 9/140 and 81/48494? 3394580 What is the common denominator of -113/972 and -131/656100? 656100 Calculate the least common multiple of 1342350 and 10260. 8054100 Calculate the smallest common multiple of 234540 and 515988. 2579940 What is the common denominator of -37/192 and 109/1068? 17088 What is the least common multiple of 60 and 22764? 113820 What is the smallest common multiple of 896 and 96? 2688 Calculate the common denominator of 57/3367 and -167/23088. 161616 What is the common denominator of -109/258080 and -43/12? 774240 Find the common denominator of -73/28455 and -25/21. 28455 What is the common denominator of 17/1728 and -7/90144? 540864 Find the common denominator of -41/12 and -77/10316. 30948 What is the common denominator of 7/118515 and 19/4? 474060 Find the common denominator of -23/1054272 and 11/18. 3162816 Calculate the smallest common multiple of 18650 and 14. 130550 Find the common denominator of 7/233 and -1/150. 34950 Calculate the smallest common multiple of 10206 and 308. 224532 What is the lowest common multiple of 1804336 and 451084? 1804336 Calculate the smallest common multiple of 12 and 123084. 123084 Find the common denominator of 51/161770 and -173/270. 4367790 What is the common denominator of 41/13251 and 31/399? 251769 What is the common denominator of 55/582 and -62/219? 42486 Calculate the smallest common multiple of 125 and 549635. 13740875 Calculate the smallest common multiple of 22913 and 252043. 252043 Calculate the lowest common multiple of 4645 and 168149. 840745 Calculate the common denominator of -15/12206 and -87/578. 207502 Calculate the smallest common multiple of 43032 and 572. 559416 What is the lowest common multiple of 9620 and 5920? 76960 Calculate the lowest common multiple of 3 and 3077. 9231 Calculate the common denominator of 101/792 and 91/5328. 58608 What is the lowest common multiple of 117441 and 36? 469764 What is the smallest common multiple of 108 and 380952? 1142856 Calculate the smallest common multiple of 1140 and 582. 110580 Find the common denominator of 81/19418 and -91/30076. 4000108 What is the common denominator of 83/5032 and -99/74? 5032 Calculate the common denominator of 37/42544 and 45/352. 935968 Calculate the common denominator of 101/11170 and -3/2354636. 11773180 What is the least common multiple of 286 and 12558? 138138 Find the common denominator of 44/2159 and 41/468503. 468503 What is the least common multiple of 11352 and 24? 11352 What is the lowest common multiple of 6744 and 5620? 33720 What is the smallest common multiple of 10 and 2275? 4550 What is the lowest common multiple of 1254 and 4560? 50160 Find the common denominator of -127/3360 and -5/4032. 20160 Find the common denominator of -101/219336 and 25/2496. 1754688 Calculate the common denominator of -43/24 and 50/5343. 42744 Calculate the common denominator of -34/235797 and 32. 235797 Calculate the common denominator of 17/31 and 111/61516. 1906996 What is the least common multiple of 20 and 1309252? 6546260 Calculate the lowest common multiple of 23310 and 20979. 209790 What is the smallest common multiple of 36611 and 6? 219666 What is the common denominator of -1/49434 and -92/2079? 444906 Calculate the common denominator of -39/117469 and -53/177. 352407 Find the common denominator of -3/5735 and 85/4588. 22940 What is the least common multiple of 15552 and 18? 15552 Calculate the common denominator of 115/18 and 35/68854. 619686 What is the smallest common multiple of 81605 and 718124? 3590620 Calculate the common denominator of 68/282945 and 64/509301. 2546505 What is the common denominator of 105/301114 and 127/246366? 2710026 Calculate the smallest common multiple of 252 and 3618. 50652 Calculate the common denominator of -44/9729 and -65/414. 19458 What is the lowest common multiple of 219 and 7623? 556479 What is the least common multiple of 45171 and 189? 45171 Calculate the common denominator of 35/6 and -73/605062. 1815186 Find the common denominator of -97/3916 and -121/788184. 8670024 Calculate the lowest common multiple of 10140 and 555. 375180 What is the lowest common multiple of 7 and 513148? 3592036 Calculate the lowest common multiple of 31696 and 2. 31696 What is the smallest common multiple of 2 and 644942? 644942 What is the lowest common multiple of 96 and 2144? 6432 What is the lowest common multiple of 16 and 31146? 249168 What is the least common multiple of 84480 and 210? 591360 What is the common denominator of 113/20930 and 33/2470? 397670 Calculate the common denominator of 29/53663 and 17/521. 53663 Calculate the common denominator of -43/45 and 13/128. 5760 Calculate the smallest common multiple of 2392 and 65. 11960 Calculate the smallest common multiple of 25410 and 7260. 50820 Calculate the lowest common multiple of 72 and 1587024. 1587024 Calculate the least common multiple of 11448 and 2091168. 6273504 Calculate the common denominator of 13/6 and -125/44454. 44454 What is the common denominator of -229/72930 and 93/52? 145860 Find the common denominator of -19/4860 and -23/108. 4860 Calculate the common denominator of 15/429202 and -71/1876. 6008828 Calculate the common denominator of -79/455664 and 1/6. 455664 Calculate the common denominator of -39/311761 and -79/65865. 4676415 Calculate the smallest common multiple of 140 and 5040. 5040 What is the lowest common multiple of 6096 and 18288? 18288 What is the small
{ "pile_set_name": "DM Mathematics" }
l**4 + i + 28/3*l**3. 2*l**2*(l + 7)**2/3 Let z be (-104)/(-10) + -6 + (-3)/(-5). Let r be ((-1)/(-3))/((-1)/(-12)). Factor -35 + 3*k**z - r*k**3 - 4*k**2 + k**5 + 35 + 4*k**4. 4*k**2*(k - 1)*(k + 1)**2 Let m = 6 - -2. Suppose -5*h + 15 = -2*c + 6*c, 4*c - 17 = -3*h. Factor 0*k**3 - m + 75*k - 35*k**2 + c*k**3 - 37 + 0*k**3. 5*(k - 3)**2*(k - 1) Let b(q) be the first derivative of -q**5/80 + q**4/16 - 7*q**2/2 - 10*q + 31. Let f(a) be the second derivative of b(a). Factor f(i). -3*i*(i - 2)/4 Suppose -13*z = 266 - 500. Let f = 4 + 1. Factor -2*u**4 + 2*u**5 - 3*u**3 - 11*u**2 + u**3 - f*u**2 + z*u**2. 2*u**2*(u - 1)**2*(u + 1) Suppose -2*t + 3*f = -f + 56, 4*t + 160 = -4*f. Let a = t - -36. Factor 0 + 2*o**5 + a + 2*o**3 - 15*o**4 + 11*o**4. 2*o**3*(o - 1)**2 Let n = -1/184 + 383/2760. Let u(i) be the first derivative of 13 - 6/5*i + 4/5*i**2 - n*i**3. What is a in u(a) = 0? 1, 3 Factor -3/2 - 252150*a**2 + 1230*a. -3*(410*a - 1)**2/2 Suppose 0 = p + 5, -5*y + 0*p - 2*p = -10. Let q(r) be the third derivative of 0 + 0*r**3 - 5/24*r**y + 17*r**2 + 1/36*r**5 + 0*r. Factor q(k). 5*k*(k - 3)/3 Let o(j) be the first derivative of 0*j + 15/2*j**2 + 10/3*j**3 - 5/4*j**4 + 167. Factor o(z). -5*z*(z - 3)*(z + 1) Let o(h) be the first derivative of h**4/8 - 7*h**3/6 - h**2 + 14*h + 1565. Determine t, given that o(t) = 0. -2, 2, 7 Suppose 9 = -5*x + 4*a + 27, 2*x = 3*a + 10. Let q(v) be the second derivative of 1/12*v**4 + 0 - 7/12*v**3 + 1/40*v**5 + v**x - 6*v. Factor q(n). (n - 1)**2*(n + 4)/2 Let s(d) be the third derivative of -d**7/525 - 19*d**6/150 - 32*d**5/15 + 40*d**4/3 - 112*d**2 + d - 5. Factor s(x). -2*x*(x - 2)*(x + 20)**2/5 Let s = -3417 + 102511/30. Let v(n) be the first derivative of -s*n**4 - 6 + 4/45*n**3 + 7/15*n**2 + 8/15*n. Factor v(h). -2*(h - 4)*(h + 1)**2/15 Factor 3/4*d**5 + 27/4 + 69/2*d**2 + 27/4*d**4 + 45/2*d**3 + 99/4*d. 3*(d + 1)**3*(d + 3)**2/4 Let w = -575 + 561. Let v be (-54)/(-189)*w/(-5). Find x such that -v*x**2 - x - 1/5*x**3 - 2/5 = 0. -2, -1 Let u(r) = -r**2 - 20*r + 23. Let h be u(-21). Let -14*m**3 - 88*m - 51*m**h + 0*m**3 + 32 - 2*m**2 - 27*m**2 = 0. What is m? -4, -2, 2/7 Let c = 40438 + -121306/3. Factor -14*s - 10/3*s**2 - c. -2*(s + 4)*(5*s + 1)/3 Let l be -4 + -4 + 25 - 3/3. Find a such that -14*a**3 + 16*a**3 - 6*a + l - 12 = 0. -2, 1 Let 10/3*b**2 - 28*b - 10/3*b**4 + 0 + 100/3*b**3 - 16/3*b**5 = 0. Calculate b. -21/8, -1, 0, 1, 2 Suppose -4*g - 24 = -32. Factor 17*a**g - 13*a**3 - 17*a**3 + 4*a**4 + 9*a**3 + 33*a - 9. (a - 3)**2*(a + 1)*(4*a - 1) Suppose 3*d - 2*d = -t + 81, t + 3*d - 81 = 0. Factor 40 + 88 - 29*c + 2*c**3 + 24*c**2 + 44*c + t*c. 2*(c + 4)**3 Let -164 - 1144/7*f**2 + 2294/7*f - 2/7*f**3 = 0. Calculate f. -574, 1 Let s(w) be the second derivative of 7/6*w**4 - 1/84*w**7 - 9 + 2/15*w**6 - 17/12*w**3 + w + w**2 - 11/20*w**5. Factor s(k). -(k - 4)*(k - 1)**4/2 Let z(u) be the second derivative of -12*u - 1/36*u**4 - 5/3*u**2 + 11/18*u**3 + 5. Factor z(j). -(j - 10)*(j - 1)/3 Let d(w) be the second derivative of -3*w**5/100 - 2*w**4/5 + 2*w**3/5 + 48*w**2/5 - 2773*w. Factor d(v). -3*(v - 2)*(v + 2)*(v + 8)/5 Suppose 405 = -162*i + 1053. Solve -3*p**2 + 3/7*p**i + 3/7*p**3 + 18/7 - 3/7*p = 0 for p. -3, -1, 1, 2 Factor -3/5*c**2 - 729/5 + 252/5*c. -3*(c - 81)*(c - 3)/5 Let 712/5*c**2 - 4/5*c**3 + 32144/5 - 1876*c = 0. What is c? 7, 164 Let -6 + 53/2*b**2 + 22*b + 7*b**3 = 0. Calculate b. -2, 3/14 Suppose 2*t + 3*f - 2 = 0, -t - f - 5 = -7. Suppose 0 = -t*u + 8*u - 12. Factor -5*x**3 - 6*x - 3*x - 25*x**2 + u*x - 24*x. -5*x*(x + 2)*(x + 3) Let j(u) be the third derivative of u**8/1120 - u**7/180 + 49*u**6/3240 - 97*u**5/30 - 3*u**2 + 11*u. Let d(f) be the third derivative of j(f). Factor d(k). 2*(9*k - 7)**2/9 Suppose 86*l - 87*l = -3. Suppose -7411 - 7*p**3 + 54*p**2 - 186*p**2 - 1452*p + 2087 + 3*p**l = 0. What is p? -11 Let u(d) be the second derivative of -1/150*d**5 + 1/9*d**4 - 36*d + 1 - 22/15*d**2 + 13/45*d**3. Let u(y) = 0. Calculate y. -2, 1, 11 Let c be -8 + 5 + 9332/18 + -2. Let t = c + -513. Suppose t*w + 2/9*w**2 + 2/9 = 0. What is w? -1 Suppose l = -219 - 306. Let q = l - -527. Factor 1/4*p**q + 0 - 3/4*p. p*(p - 3)/4 Let x(g) be the second derivative of 38*g - 1 + 8427/20*g**5 + 2597/4*g**4 - 104*g**3 + 6*g**2. Solve x(o) = 0 for o. -1, 2/53 Let z(h) = -28*h**2 + 499*h + 6. Let c(j) = -195*j**2 + 3495*j + 40. Let g(o) = 3*c(o) - 20*z(o). Find m such that g(m) = 0. 0, 101/5 Let n be 18/(-135) + (-159)/45*-4. Factor 6 - 4 + n*x - 12*x**2 + 3 + 31 + 10*x**2. -2*(x - 9)*(x + 2) Let h be ((-47)/(-9) - 5) + (-3675)/135. Let l be ((-45)/(-27))/((-90)/h). Solve 1/4*n**4 + l*n + 0 + 5/4*n**2 + n**3 = 0 for n. -2, -1, 0 Let r(t) be the third derivative of -t**6/270 + 34*t**5/135 - 31*t**4/54 - 44*t**3/9 + t**2 - 28*t - 2. Factor r(u). -4*(u - 33)*(u - 2)*(u + 1)/9 Let k be (-2)/12*(92 + -38 - 57). Let -1/4*m**3 + 7/4*m - 1 - k*m**2 = 0. What is m? -4, 1 Let v(b) be the second derivative of -b**5/170 + 5*b**4/102 - 7*b**3/51 + 3*b**2/17 + 49*b - 1. What is c in v(c) = 0? 1, 3 Let n = 49 + -47. Factor -14*v - 56 - 7*v**n - 3*v**2 + 68. -2*(v + 2)*(5*v - 3) Let x be 242*-1 + 3/(-30)*-4. Let q = x + 242. Let 4/5*g + 0 + q*g**3 + 6/5*g**2 = 0. Calculate g. -2, -1, 0 Let h be (-564)/(-170) - (-6 - (-520)/85). Let d(r) be the first derivative of 8/3*r**3 + 7 + h*r**5 + 0*r**2 - 2/3*r**6 - 5*r**4 + 0*r. Solve d(v) = 0. 0, 1, 2 Let r(k) be the second derivative of -14/45*k**6 + 0*k**3 + 0*k**4 + 0*k**2 + 0*k**5 - 79*k + 0 - 1/63*k**7. Solve r(j) = 0 for j. -14, 0 Let o(g) = -25*g**2 + 5822*g + 10281. Let p(t) = 5*t**2 - 1172*t - 2056. Let h(f) = 4*o(f) + 19*p(f). Let h(v) = 0. What is v? -2, 206 Let w(m) be the second derivative of m**5/10 + 37*m**4/2 - 395*m**3 + 3025*m**2 - 1206*m - 2. Factor w(z). 2*(z - 5)**2*(z + 121) Let i be 114/(-456) + (-1272)/(-160) + 4/5. Factor -i*o**2 - 7/2 + o**3 + 11*o. (o - 7)*(o - 1)*(2*o - 1)/2 Let o(z) be the first derivative of 92*z**2 - 4232/3*z**3 - 2*z + 229. Factor o(p). -2*(46*p - 1)**2 Determine q, given that 79/2*q**2 + 1/4*q**3 + 0*q + 0 = 0. -158, 0 Let l = -8817 - -8822. Let m(z) be the first derivative of -10 - z**5 + 10*z + 25/2*z**2 + l*z**3 - 5/4*z**4. Factor m(r). -5*(r - 2)*(r + 1)**3 Let c = 3 - -5. Suppose -1 = -k - 2*m, -k = -3*m + c*m + 2. Factor -8*u + 6*u**2 + 26*u**2 - 14*u**k + 0*u**2. -2*u*(u - 2)*(7*u - 2) Suppose -73*s + 8*s - 4*s = -6*s - 18*s. Let j(c) = c**2 - 3*c + 2. Let g be j(3). Factor -2/3*h**3 + 0*h - 4/3*h**g + s. -2*h**2*(h + 2)/3 Solve -788/5*v**2 + 898/5*v**3 + 464/5*v**4 - 72/5 - 534/5*v + 32/5*v**5 = 0. -12, -3, -1/4, 1 Let o(c) = -13*c**3 + 150*c**2 - 279*c - 427. Let y(l) = -33*l**3 + 374*l**2 - 699*l - 1067. Let w(f) = -13*o(f) + 5*y(f). Find m, given that w(m) = 0. -1, 3, 18 Suppose 172/3*v**4 + 1364/3*v - 172 + 4/3*v**5 - 1000/3*v**2 - 8*v**3 = 0. Calculate v. -43, -3, 1 Let l = -380 + 240. Let j be l/350*(-155)/6. Factor -j*u + 2 + 29/3*u**2 - 4/3*u**3. -(u - 6)*(u - 1)*(4*u - 1)/3 Solve -11*v**5 + 2*v**3 + 30*v**5 - 20*v**5 + 4067 - 4051 - 2*v + 16*v**4 - 32*v**2 + v = 0. -1, 1, 16 Let z = 926630/33 - 308862/11. Factor 2*x - z*x**2 + 2*x**4 - 2/3*x**5 - 2/3 - 4/3*x**3. -2*(x - 1)**4*(x + 1)/3 Determine t, given that 50/3*t - 2/9*t**2 + 52 = 0. -3, 78 Let c be (-78)/(-30) + 6/15. Let j(g) be the second derivative of -1/16*g**2 + 0 - 1/80*g**5 + 0*g**4 + 1/240*g**6 + 1/24*g**c - 6*g. Factor j(q). (q - 1)**3*(q + 1)/8 Suppose 3*k = -4*j + 1569, -12*j = -4*k - 11*j + 2111. Factor -2*i**2 - 26*i - 227 + 32 - 50*i - k. -2*(i + 19)**2 Let l be (14 + (-5860)/420)*14/6. Let k(q) be the first derivative of -8/3*q + q**2 - 13 - l*q**3. Factor k(o). -(o - 4)*(o - 2)/3 Let p(z) be the second derivative of -z**6/70 - 3*z**5/20 - z**4/4 + 15*z**3/14 - 2820*z. Factor p(n). -3*n*(n - 1)*(n + 3)*(n + 5)/7 Let c(z) = -2*z - 81. Let i be c(-24). Let u be (i/33)/(2/4*-7). Factor -u*s**2 + 0*s + 2/7. -2*(s - 1)*(s + 1)/7 Let n be 21 - 2992/136 - 11/(-2). Factor -3/4*o + 21/4*o**2 - n. 3*(o - 1)*(7*o + 6)/4 Let -264/5*a**2 + 35378/5 - 1/5*a**3 - 17157/5*a = 0. What is a? -133, 2 Let m(i) be the second derivative of -11*i**7/21 - 20*i**6/3 - 546*i**5/55 - 48*i**4/11 - 10153*i. Let m(b) = 0. What is b? -8, -6/11, 0 Let p(f) = -225*
{ "pile_set_name": "DM Mathematics" }
he units digit of t? 5 Let u(l) = 3*l - 1. Let h be u(1). Suppose 0 = 5*b - 3*y + h*y + 325, -330 = 5*b - 2*y. What is the tens digit of 24*(b/(-12) + -3)? 5 Suppose -4*d - 19*d - 29532 = 0. Let j = d + 2511. What is the tens digit of j? 2 What is the units digit of -5*1 - 44646/(-6 + -15)? 1 Let f = -14 + -119. What is the tens digit of (-45)/18*f/(-5)*-6? 9 Suppose 3*m - 25*o + 38 = -29*o, 2*m + 25 = -3*o. What is the tens digit of m/(-28) + (-107)/(-2)? 5 Suppose 0 = -3*t - 266 - 193. Let r = -28 - t. Suppose 0 = 12*h + r - 485. What is the units digit of h? 0 Let z(o) = 57*o - 2. Let u be z(3). Let l be (-12 + 22 - 11)*-4. Suppose -l*c = -u + 17. What is the tens digit of c? 3 Let p = -47 - -58. Let v = -24 + 55. Let j = v - p. What is the units digit of j? 0 Suppose -329 = -5*p + z, -41*p + 61 = -40*p + z. Let b = 515 - p. What is the tens digit of b? 5 Let w(g) = 24*g**2 - 176*g + 4120. What is the thousands digit of w(19)? 9 Let b be ((-42)/(-18) - -3)/((-2)/(-3)). Let p = b - -77. What is the units digit of p? 5 Suppose 0 = -2*a - a - n + 11, 0 = -3*a + n + 1. Suppose 86 = d + 93. What is the units digit of (-2 + a - 1)/(d/322)? 6 Suppose -130 = -4*m - 2*a, -2*m + m - 3*a + 45 = 0. Suppose 4*c + 4 = 0, j - m = -2*j + 3*c. Suppose -j*l - 330 = -20*l. What is the units digit of l? 0 Let d = 85871 + -46022. What is the hundreds digit of d? 8 Let x(o) = 2*o**2 + 37*o - 140. Let t(g) = -3*g**2 - 41*g + 139. Let y(v) = -3*t(v) - 4*x(v). What is the hundreds digit of y(34)? 4 Let q be ((-32)/10)/(22/(-55)). Suppose -9*y - 11 = -q*y. What is the tens digit of 2/y - 2520/(-66)? 3 Suppose j - 2473 = -0*j + 3*c, -3*j + c = -7387. Suppose -251 + j = 17*q. What is the tens digit of q? 3 What is the tens digit of 30 + 2232 + (-3)/(-1) + -3? 6 Suppose -4*d - 201 = -97. Let l(k) = -k**3 - 26*k**2 - 3*k - 26. What is the units digit of l(d)? 2 Let d(a) = -a + 2. Let v be (5 - 6)*((1 - 2) + -3). Let f be d(v). Let c(g) = 14*g**2 - 2*g - 4. What is the tens digit of c(f)? 5 Let g = 12767 - 1042. What is the thousands digit of g? 1 Suppose 158936 = 3*v + 4752*x - 4756*x, 0 = 4*v - 2*x - 211908. What is the tens digit of v? 7 Let g(x) = 2*x**3 + 7*x**2 - 2*x - 27. Let i = 33 - 28. What is the tens digit of g(i)? 8 Let j = 16627 + -8240. What is the thousands digit of j? 8 Let f be 38 + -29 - (-1 - (-6 + 1)). Let q(k) = 11*k**2 + 7*k - 41. What is the tens digit of q(f)? 6 Let a(p) = 154*p - 3152. What is the units digit of a(71)? 2 Let w be 1*2/(2 - (-76)/(-36)). Let b be (15/(-3))/(w/15 - -1). Suppose 0 = -3*i + 8*i - b. What is the units digit of i? 5 Let d(y) = -y**3 + 22*y + 12. Let o be d(-5). What is the tens digit of 54*1/3*o? 8 Let g(f) = -16*f**3 + 32*f**2 + 14*f - 24. What is the hundreds digit of g(-8)? 1 Suppose z - 30 + 10 = 0. Suppose -4*y + z = -i + 5*i, -y - 5*i + 13 = 0. What is the tens digit of 1 - -3 - (0/y - 60)? 6 What is the units digit of (-6713685)/(-959) + (-5)/7? 0 Let x(a) = -a**2 - 6*a - 2. Let r be x(-5). Suppose -r*g + 185 = -349. What is the tens digit of g? 7 Suppose 148*i - 74*i = 5746618. What is the ten thousands digit of i? 7 Let y(v) = -1114*v + 1834. What is the hundreds digit of y(-7)? 6 Suppose -16*p - 26*p = 182*p - 6298432. What is the ten thousands digit of p? 2 Suppose 186*y - 612608 + 107990 = 0. What is the units digit of y? 3 What is the thousands digit of ((-34)/(-10))/((-148)/(-4255))*(-2 - -90)? 8 Let c = 117 - 111. Let p = 34 - c. What is the tens digit of p? 2 What is the ten thousands digit of (52092 - -45) + 69/3? 5 Suppose 27*s = 26*s + 28. Suppose 0 = -0*z + 14*z - s. Suppose w + 2 = 0, -750 = -3*u + z*w - 125. What is the hundreds digit of u? 2 Let a be ((-1)/(-2))/((-1)/(-6)). Let q = -320 + 337. Suppose -119 = -a*y - q. What is the units digit of y? 4 Suppose -10*k + 7*k - 16 = 2*z, -2*k - 9 = z. Let c(q) = 5*q**2 - 16*q + 16. What is the hundreds digit of c(z)? 2 Let y(n) = -4*n**2 - 4*n - 32 + 21 - 8*n + 3*n**2. Let h = -4 - 0. What is the units digit of y(h)? 1 Suppose 365*i + 361608 = 5043828. What is the ten thousands digit of i? 1 Let j(q) = 99*q**3 + 3*q**2 - 4*q + 23. What is the hundreds digit of j(4)? 3 Let q(k) = -361*k - 142. Let w be q(-4). Suppose -31*u = -38*u + w. What is the tens digit of u? 8 Let h(j) = 14*j**2 - 32*j. Let b be h(10). Suppose -5*s + b = 150. What is the tens digit of s? 8 Let l be (1/(-3))/(5/15)*-514. Let o = -340 + l. Let p = -20 + o. What is the tens digit of p? 5 Let l(t) = 133*t - 23. Let w be 1 - (-1*2 - (7 + -5)). What is the tens digit of l(w)? 4 Suppose -72*u = -75*u + 5790. Suppose 0 = 18*l - 20*l + u. What is the units digit of l? 5 Suppose -2*j + b + 8181 + 9029 = 0, 4*j = -3*b + 34410. Suppose j = 33*s - 3837. What is the tens digit of s? 7 Let o be -1 + (282 - 0) + -1. Suppose 0 = -29*f - 17*f + 690. Suppose -o = f*i - 20*i. What is the tens digit of i? 5 Let o(c) = 3*c**2 - 9*c + 58. Let q be o(19). What is the units digit of (-2)/6 - q/(-3)? 3 Suppose 0 = -13*t + 232 - 63. Let p = 938 - t. What is the hundreds digit of p? 9 Let k = -1018 - -71. Let w = k - -2179. What is the thousands digit of w? 1 Suppose -14*w + 36*w - 140866 = 0. What is the hundreds digit of w? 4 Let g be (1*(4 - 4))/(14 + -12). Suppose 3*m - 6*m + 4*q + 538 = g, 5 = -5*q. What is the hundreds digit of m? 1 Let o = 3292 + 26544. What is the tens digit of o? 3 Let x(i) be the first derivative of i**4/4 + 19*i**3/3 + 15*i**2/2 - 49*i - 172. What is the units digit of x(-13)? 0 Suppose -167920 = -50*m + 13223 + 220207. What is the tens digit of m? 2 Suppose 0*j - 2*l - 26 = -3*j, 5*l - 19 = -3*j. Let w(o) = 7*o**2 - 17*o + 69. What is the tens digit of w(j)? 8 Suppose 0 = 4*q - w - 15944, 5*q - 6*w - 19929 = -5*w. Suppose 10*z - 1265 - q = 0. What is the tens digit of z? 2 Let q = -7077 - -20070. What is the units digit of q? 3 Suppose s - 2157 = -s - 5*u, 2 = -2*u. Suppose 4*x - y - s = 0, 5*x + 2*y = 1510 - 149. What is the units digit of x? 1 Suppose -6*y + 2*y = 5*j - 4, -4*j + 4 = 3*y. Suppose -13*o - 70 = -z - 8*o, -j*z = 4*o - 376. What is the units digit of z? 0 Let s(l) = 5*l**2 - 35*l - 404. What is the hundreds digit of s(-13)? 8 What is the thousands digit of 7557 + (120/(-10) - -3)? 7 Let o = -15629 + 15801. What is the units digit of o? 2 Let y(q) = 324*q**3 + 50*q**2 - 193*q - 16. What is the ten thousands digit of y(4)? 2 Suppose -16*k = -22*k + 4416. Suppose 4*f = -3*o + k, -2*o - f + 733 = o. What is the tens digit of o? 4 Suppose b - 5*b = -20, -4*z + 60706 = 2*b. What is the thousands digit of z? 5 Suppose 0 = 3*s, -s + 26015 = -3*g + 8*g. What is the units digit of g? 3 What is the ten thousands digit of 15702/1*10/(-6)*(-8)/20? 1 Suppose 5*g - 2 = 8. Let d(c) = 3 + 1 + c + 26*c**g - 5 - 1. What is the tens digit of d(-2)? 0 Let s be (-338 - -341)/((-3)/(-5)). Let y(f) be the third derivative of f**4 - 11*f**3/6 + f**2. What is the units digit of y(s)? 9 Let f = -1250 + 7045. Suppose 3*n + 89 = 77, f = 5*q + 5*n. What is the hundreds digit of q? 1 Let r(j) = 5*j. Let x be r(-6). Let g(q) = q**2 + 3*q + 2. Let i be g(-3). What is the units digit of x/(-25)*75/i? 5 Suppose 8*w = 25*w + 255. What is the hundreds digit of 100/w*1197/(-14)? 5 Let k be 1/(46/9 - 5). Suppose 0 = -k*t + 11*t - 408. What is the hundreds digit of t? 2 Suppose -31*u + 157 = -463. What is the hundreds digit of (3310*(-4)/12)/(u/(-30))? 6 Let n = -61631 - -96840. What is the thousands digit of n? 5 Let r(h) = -126*h + 15995. What is the units digit of r(24)? 1 Suppose 8*j = 40, 20*i - 16*i + 3*j - 3095 = 0. What is the tens digit of i? 7 Suppose -5*d + 26657 = -b, 5*d - 29*b = -34*b + 26675. What is the units digit of d? 2 Let t = -54 + 54. Suppose t = 4*r + 553 - 2725. What is the hundreds digit of r? 5 Let u(n) = 2*n + 18 - 12*n + 11*n. Let k = -14 + 5. What is the units digit of u(k)? 9 Let z = 10541 + -3753. What is the tens digit of z? 8 Let l = -24372 - -55024. Suppose 37*f = l + 10492. What is the thousands digit of f? 1 Let t be -1 - ((-60)/5 - -4). Suppose -125 = t*w + 85. Let x = 21 - w. What is the tens digit of x? 5 What is the units digit of -1029*41/(-2) - ((-168)/16)/7? 6 Let s be 240 - ((-8)/12 + 2/(-6)). Suppose 5*w + 3*b - 4*b = -421, w - 5*b = -89. Let y = s + w. W
{ "pile_set_name": "DM Mathematics" }
h(k) = -4578*k**2 + 104*k - 24. Let i(a) = 2285*a**2 - 52*a + 12. Let w(t) = 4*h(t) + 7*i(t). What is the second derivative of w(x) wrt x? -4634 Let c(a) = 2749*a**3 + 12*a**2 + 6*a - 998. Let z(q) = -2746*q**3 - 16*q**2 - 7*q + 1002. Let g(f) = 4*c(f) + 3*z(f). Find the second derivative of g(h) wrt h. 16548*h Let c(z) be the third derivative of 787*z**6/20 + 485*z**4/8 - 58*z**2 - 11. What is the second derivative of c(t) wrt t? 28332*t Let o(j) be the first derivative of 14*j**6/15 + 49*j**2/2 + 52*j - 15. Let x(c) be the first derivative of o(c). What is the first derivative of x(w) wrt w? 112*w**3 Let q be (-2 - 1) + (99 - (2 - -5)). Differentiate 2 + 4 - 17*t**3 - q with respect to t. -51*t**2 Let n(z) = -114*z**2 + 2915*z + 1442. Let b(c) = -16*c**2 + 3*c + 1. Let r(d) = -7*b(d) + n(d). Find the first derivative of r(h) wrt h. -4*h + 2894 Let q(n) = n**3 + 5*n**2 - 14*n + 4. Suppose 14 = -17*i + 15*i. Let b be q(i). Differentiate -21*z**b + 4 - 19*z**4 + 1 + 34*z**4 with respect to z. -24*z**3 Let r = 7762 - 7760. Let p(n) be the first derivative of 24/5*n**5 + 22 + 11*n + 0*n**r + 0*n**4 + 0*n**3. Differentiate p(g) with respect to g. 96*g**3 Let q(a) = 113*a - 114. Let b(t) = 112*t - 115. Let l(j) = 2*j**2 - 4*j + 1. Let c be l(3). Let z(x) = c*b(x) - 6*q(x). What is the derivative of z(g) wrt g? 106 Find the first derivative of 12911 - x**2 + 9795*x + 0*x**2 - 4932*x + 5*x**4 - 4903*x wrt x. 20*x**3 - 2*x - 40 Let u(p) be the first derivative of p**7/420 - p**6/72 + 5*p**4/8 + p**3/3 - 11*p + 22. Let g(d) be the third derivative of u(d). Differentiate g(i) wrt i. 6*i**2 - 10*i Let n(w) be the second derivative of 503*w**6/15 + 356*w**3 - 457*w - 1. Find the second derivative of n(q) wrt q. 12072*q**2 Let c(d) = 84*d**4 - 4*d**3 + 18*d**2 - 6*d - 2357. Let u(g) = 65*g**4 - 3*g**3 + 17*g**2 - 5*g - 2357. Let m(v) = -3*c(v) + 4*u(v). Differentiate m(a) wrt a. 32*a**3 + 28*a - 2 What is the third derivative of -662*m - 45565*m**2 + m**3 + 91137*m**2 - 45568*m**2 + 64*m**5 + 7*m**4 wrt m? 3840*m**2 + 168*m + 6 Let x = -98 + 100. Find the second derivative of -32*o + o**3 - 2*o**2 - 12*o - 2*o**2 - x wrt o. 6*o - 8 Suppose 10*p - 9 - 11 = 0. Find the second derivative of 5*b + 8*b - 105*b**p + 20*b**2 + 58*b wrt b. -170 Let n be -1 + 3 + 1 + (-2 - -1). Find the third derivative of 14*q**n + q**4 + 56*q**2 + 59*q**2 - 7*q**5 - 181*q**2 wrt q. -420*q**2 + 24*q Let m(k) = -k**3 - k**2 + k. Suppose 4*o = -6 - 2. Let j be m(o). Find the third derivative of -21*t**4 + 14*t**4 + 28*t**4 - 19*t**j wrt t. 504*t Suppose 0 = 3*n - 19 - 56. Suppose 0 + n = 5*f. What is the third derivative of 15*v**5 + 3*v**2 - 13*v**f - 16*v**5 wrt v? -840*v**2 Find the third derivative of -339*l**2 - 562*l**4 - 6546*l + 6544*l - 150*l**2 wrt l. -13488*l Let b(p) be the third derivative of -p**9/84 + 161*p**6/120 - 59*p**5/12 - p**3/6 + 213*p**2 + 2. Find the third derivative of b(h) wrt h. -720*h**3 + 966 Suppose m + 4*x + 12 = 0, -3*m - 2*x + 7*x + 49 = 0. Differentiate -6048*a**3 + 8 + 6124*a**3 - m + 51 with respect to a. 228*a**2 Let u(j) = 7239*j**2 - 137. Let z(p) = 7240*p**2 - 133. Let o(q) = -5*u(q) + 4*z(q). What is the first derivative of o(i) wrt i? -14470*i Let h(l) be the first derivative of -l**4/2 + 497*l**3/3 + l**2 + 3037*l - 689. What is the first derivative of h(j) wrt j? -6*j**2 + 994*j + 2 Let k = 68 + -68. Suppose 3*q - 5*j = 44, 0 = q - k*q + 3*j - 38. Find the first derivative of -3*s - q*s**2 + 39 + 2*s + s wrt s. -46*s Let d(p) be the third derivative of 0*p + 77/12*p**4 + 122*p**2 + 0 + 41/3*p**3. What is the derivative of d(j) wrt j? 154 Find the third derivative of 3422*u**6 + 2631*u**2 - 34641*u + 17322*u + 17319*u + 1735*u**2 wrt u. 410640*u**3 Let o be -2 + ((-4)/(-6) - (-40)/12). Find the second derivative of 0*m - 14*m - 50*m + 77*m**o + 20*m - 1 wrt m. 154 Let o(n) be the first derivative of 0*n + 0*n**4 + 166 - 5/6*n**6 + 6/5*n**5 - 1/2*n**2 - 2/3*n**3. Find the third derivative of o(r) wrt r. -300*r**2 + 144*r Let r(q) be the third derivative of -31*q**8/336 + 7*q**6/24 + q**4/8 + 131*q**3/3 + 268*q**2. What is the second derivative of r(j) wrt j? -620*j**3 + 210*j Let k(i) be the second derivative of 61*i**5/20 + 727*i**4/12 + 715*i. Find the third derivative of k(b) wrt b. 366 Let h(t) = 23*t + 12. Let d be h(4). What is the third derivative of -3*r + 13*r - d*r**3 + r**2 + 100*r**3 + 79*r**3 wrt r? 450 Let v(u) be the first derivative of -983*u**6/6 - 85*u**2 - 4*u - 1725. What is the second derivative of v(p) wrt p? -19660*p**3 Find the third derivative of 32*m + 2*m**3 + 592*m**2 - 590*m**2 - 2167*m**4 - 317*m**4 wrt m. -59616*m + 12 Let t(u) = -u**2 + 5*u - 3. Let j(h) = -310*h**2 - 634*h + 3. Let g(q) = -2*j(q) - 2*t(q). Find the second derivative of g(n) wrt n. 1244 Let a(o) = 2882*o**3 + 3*o**2 - 4463. Let g(i) = -17293*i**3 - 17*i**2 + 26779. Let w(f) = -17*a(f) - 3*g(f). What is the derivative of w(k) wrt k? 8655*k**2 Let o = -51 - -103. Suppose 25 = 7*y - o. What is the third derivative of -x**4 - y*x**4 - 28*x**2 - 7*x**4 wrt x? -456*x Let u(y) be the second derivative of -2182*y**6/15 - 4739*y**3/6 - 11*y - 34. What is the second derivative of u(a) wrt a? -52368*a**2 What is the third derivative of -1747*y**4 + 364*y**4 - 394*y**2 + 783*y**4 - y**6 wrt y? -120*y**3 - 14400*y Suppose 160*q - 12 = 154*q. Find the third derivative of q*w + 20*w**5 - 11*w - 2*w**2 + 10*w wrt w. 1200*w**2 Let n(o) = -47*o - 5. Suppose -3*d + 3*p + 3 = 9, -4*d = 4*p + 16. Let h be n(d). Find the second derivative of 116*x**5 + 19*x - h*x**5 + 0 + 0 wrt x. -400*x**3 Let m be (-69)/115*(-255)/18. Let q(b) be the first derivative of 22*b + 15 - m*b**2. What is the derivative of q(s) wrt s? -17 Let f(c) = -1735*c + 1534. Let b(r) = -3469*r + 3066. Let j(t) = 6*b(t) - 13*f(t). Find the first derivative of j(q) wrt q. 1741 Let i = 1607 + -1605. Let g(m) be the second derivative of 0*m**i - 13*m + 0 - 2/5*m**5 + 0*m**4 - m**3. Find the second derivative of g(r) wrt r. -48*r Let c = 5425 - 5419. Let d(m) be the third derivative of 0*m**4 + 0*m + 0*m**5 + 0 + 11/3*m**3 - 1/15*m**c + 14*m**2. Find the first derivative of d(b) wrt b. -24*b**2 Let f(i) be the first derivative of -9444*i**5/5 + 7835*i**2/2 + 9140. What is the second derivative of f(x) wrt x? -113328*x**2 Differentiate 6563 + 6580 + 5033*z + 1115*z - 2353*z with respect to z. 3795 Differentiate -1083 + 6233 - 7643*o + 6116 + 367 wrt o. -7643 Let s(q) = -57*q**3 - 2*q**2 + 100*q + 7567. Let m(z) = 35*z. Let t(l) = -3*m(l) + s(l). Differentiate t(j) with respect to j. -171*j**2 - 4*j - 5 Let n be (1 - (-6 - -11)) + 8. What is the second derivative of w**2 - n*w**2 - 116*w + 79*w**5 + 2*w**2 + 4*w**2 - 5*w**2 + 1 wrt w? 1580*w**3 - 4 Let k = 41228 + -14825. What is the derivative of -k*p**2 + 26386*p**2 + 95 - p + p wrt p? -34*p Let h be 2 + 0 + 2/6*0. Suppose 0 = 4*f - 4*l - 44, -h*l + 3*l = -5. Find the second derivative of -9*n**2 + n - f*n**2 - 5*n wrt n. -30 Let s(h) be the second derivative of -21 + 5/2*h**4 + 1/2*h**2 - 2*h - 19/6*h**3. What is the second derivative of s(j) wrt j? 60 Let i(m) be the second derivative of -227*m**4/3 - 701*m**2/2 - 48*m + 3. What is the derivative of i(k) wrt k? -1816*k Let t(n) be the first derivative of -19*n**7/70 - n**5/10 + 51*n**2/2 - 75. Let w(z) be the second derivative of t(z). Find the third derivative of w(u) wrt u. -1368*u What is the third derivative of 310*a**6 + 157*a**6 - 15 + 13 + 4 + 190*a**2 - 74*a**6 - 3*a wrt a? 47160*a**3 Let r(m) = 18*m**2 - 476*m + 12588. Let o(w) = -8*w**2 + 207*w - 6294. Let i(l) = -7*o(l) - 3*r(l). Find the first derivative of i(n) wrt n. 4*n - 21 Find the second derivative of 11 + 38*k + 564*k**5 - 12*k - 576*k**5 - 5*k**4 wrt k. -240*k**3 - 60*k**2 Let w be 1737/18 + -1*1/(-2). Differentiate -w*n + 252*n - 53 - 99*n with respect to n. 56 Let l(a) = -5*a + 5. Suppose -4*b + 3*b = -2. Let n(q) be the second derivative of q**3 - 2*q**2 - q + 9. Let y(o) = b*n(o) + 3*l(o). Differentiate y(t) wrt t. -3 Let o(k) be the first derivative of k**6/3 - 2*k**5/5 + 75*k**4/2 + 1928*k**2 + 17. What is the second derivative of o(l) wrt l? 40*l**3 - 24*l**2 + 900*l Let h be 1278/30 + 2/5. Let j = h - 39. What is the
{ "pile_set_name": "DM Mathematics" }
2 Solve 4*b + 4*a - 20 = 0, -2*a = -21*b + 2582 - 2546 for b. 2 Solve -4*o + 4*k + 560 = -0*o - o + 317 + 290, -2*o - 50 = -4*k for o. 3 Solve 2*r + 15*t - 50 - 139 = 0, -35*r - 49 - 24 = -2*r + 2*t for r. -3 Solve -8*q = 6*p + 158, 4*p + 2*q + 75 + 22 = -25 for p. -33 Solve 6*m - 29 = 5*g, 0 = 2*m - 4*g - 971 + 959 for m. 4 Solve 9*g - 27 - 48 = -3*n + 3*g, 20*g - 170 = 25*n + 17*g for n. -5 Solve 3 - 1 = x - 2*c + 6, 4*x - 917*c + 920*c = -27 for x. -6 Solve -731*v + 729*v = 2*c + 12, v + 2 = c for v. -4 Solve 0 = 5*a + 5*t + 30, -743*a + 3 - 7 = -744*a - 10*t - 1 for a. -7 Solve -6*l = 10*z - 24, -3*l - 9 = -258*z + 256*z for l. -1 Solve -4*p + 22*h = 112, -264*h + 266*h = 8 for p. -6 Solve -4*x - 69 - 83 = -3433*q + 3419*q, -3*q - x + 7 = -2*q for q. 10 Solve -21 - 46 = -32*q + 30*q + 17*u, -5*q + 43 = -u for q. 8 Solve -79006*h - 36 = 3*i - 79009*h, i + 32 = -4*h for i. -16 Solve -11*f - 6*b + 4*b = -4*b - 104, 0 = -19*f + 21*f + 6*b - 38 for f. 10 Solve 4*i + 52 = -1763*j + 1767*j, -5*j - i = -35 for j. 8 Solve -3*q + 2*k - 50 = 0, -2302 = -4*q + 458*k - 580*k for q. -4 Solve -5*c - 20 = 0, -2*h + 15 = 505*c - 508*c + 18 - 47 for h. 16 Solve -4*a - 6*m = -13 + 32 + 27, 3*a - 55 = -2*a + 5*m for a. 2 Solve 2619*d - 2615*d = -3*a + 73, -70 = -3*a - d for a. 23 Solve -n - 68 = 9*t, 3*t + 1028 = 3*n + 1022 for t. -7 Solve 2099*a - 2095*a + 120 = 4*m, -8*a = -3*m + 80 for m. 32 Solve 2*u + 43 = 25, -u + 405 = -138*v for v. -3 Solve 0 = 2*i - 2*s + 16, 4601*i + 2*s - 25 = 4606*i for i. -3 Solve 7*g - 10*g - 36 = -3*w, -w - 4*g - 2167 = -2204 for w. 17 Solve 4*n + 517 - 532 = 3*m, -5*n = -7*n + 5*m - 3 for n. 6 Solve -14 = -b - 1421*u + 1416*u, 3*b = -3*u + 34 - 4 for b. 9 Solve 4*s = -6*q + 3*q + 154, -2*s - 10*q = -9*q - 76 for s. 37 Solve -138367*l + 2*i = -138371*l + 12, -4*i = 5*l - 12 for l. 4 Solve -3*x - 6 = -1 + 7, -23*j + 49*j - 5*x - 460 = -29*j for j. 8 Solve 199*y - 200*y - 35 = -4*d - 0*d, 124 = -3*y - 7*d for y. -39 Solve -4*r + 3*h = 168 - 74, 6*r + 8*h - 15*h = -4*h - 144 for r. -25 Solve -5*y = 5*u - 55, -611*u - 565*u + 1207*u - 431 = -y for u. 14 Solve 10 = -214*x + 216*x - 6*l, 5*x + 2*l = -43 for x. -7 Solve 5*f = -4*i - 44, -615985 = -4*f - i - 616007 for f. -4 Solve 4*v = -4*q - 154683 + 154647, 2*q = -5*v - 9 for v. 3 Solve -4*u - 76 = 13*c, c + 356 + 302 = -31*u + 69 for u. -19 Solve -3*u = 12, 2*u = 13*l - 28*l - 23*l - 18*l + 5*u + 684 for l. 12 Solve 3*v + 8*n - 4*n - 28 = 3*n, -59 = 5*v - 5*n + 161 for v. -4 Solve -v + 3*s - 13844 = 3*v - 13782, 3*s = v + 47 for v. -5 Solve 2*d = -d - r + 17, 264*d + 5*r = 1327 + 3 for d. 5 Solve 4*b + g - 509 = 0, -4*b + 2708851 - 2708345 = -2*g for b. 127 Solve m - 10*s + 4 = 0, m + 1948*s - 1945*s - 3 = -7 for m. -4 Solve 27*s + 2*y - 62 = 30*s, 860 + 188 = -58*s + y for s. -18 Solve -23*o = -3*d + 4, -11*d + 38 = 4*o - 6*d - 11 for o. 1 Solve 5*q - 53557 = -c - 53514, q = -c + 7 for c. -2 Solve u + 32 = -c, 1577*c + 1579*c + 5*u = 3161*c + 150 for c. -31 Solve -7 + 1 - 4 = 2*j, -45 = -5*n + 4*j - j for n. 6 Solve 3*k - 5*w + 150 = 0, 0 = 19*k - 20*w - 215 + 343 + 99 + 723 for k. -50 Solve -1810*l - 10*r = -905*l - 900*l + 145, 0 = l - r + 29 for l. -29 Solve 100*v + 26*v = 21*v - 36*v + 4*j - 3541, -6 = -j - 2 for v. -25 Solve a - 5*v - 137 = 0, -58*v = 344*a - 345*a + 1621 for a. -3 Solve 5*x = -3*a - 94, -5*x - 38 = 35106*a - 35105*a for a. -28 Solve -387 = -5*h - 13*z, -5*h + 3*h + z = 3*h + h + 17 for h. 2 Solve 0*s + 221 = -4*p - 3*s, 121*p - 3*s + 2533 + 4247 = s for p. -56 Solve 2*x + 247 = 243, 141*y + 8 + 6 = 145*y - 5*x for y. 1 Solve -25 = 5*u + 2*x, 128*u - x + 10 = -119*u + 242*u for u. -3 Solve s = -3*k + 2, -1074 = 3*s - k - 1110 for s. 11 Solve -4*w - 5*a + 88 - 50 = 39, -5*w + 7 = -2*a for w. 1 Solve -2*c + 2030*n - 52 = 2028*n, 5*c + 46*c + 126 = n for c. -2 Solve 4*b - p = -58, 1123 = -3*b - 48*b + 2*p + 405 for b. -14 Solve 22 = -3*g - 4*m + 81, -26*m + 323 + 40 = -g for g. 1 Solve -m = -j + 39, -4*m - 192*j = -193*j + 24 for m. 5 Solve 26*y = -4*m - 134, 27837*y + 5*m = 27842*y - 55 for y. -3 Solve 22*m - j = 26*m + j + 30, m + 2*j = -21 for m. -3 Solve 152*x - 156*x = -4*v - 60, x - 58 = -5*x + 4*v for x. -1 Solve -5*g + 88*d - 12 = 92*d, g = 66*d + 198 for g. 0 Solve -5 = 7*i - 12*i + 5*r, -5*i + 6 + 20 = -r + 5 for i. 5 Solve 3932*a - 222 = 5*f + 3933*a, -1 = 3*a + 5 for f. -44 Solve -4 = -11*l - 3*n + 6, 5*n + 7 = -68 for l. 5 Solve n - 2 = 52*r - 53*r, 5*n + 95*r - 7 = 190*r - 97*r for n. 1 Solve 3*o + f = -22, -5*f + 12159 = 8*o + 12227 for o. -6 Solve 70 = 5*u, -248 = 3*a - 5*u - 190 for a. 4 Solve -4*q - 130*t = -131*t - 20, -75 = -15*q - t for q. 5 Solve -108*t - 638 = -b - b - 99*t, 0 = 3*b + t + 87 for b. -5 Solve -4*k + 2 = a - 3, 4*k - 236*a = -239*a + 7 for k. 1 Solve 0 = -30*z - 4*q - 248, -5*z - 68 = -3*q - 34 for z. -8 Solve -29 = -5*y - 4*r, 1739 - 1726 = 13*r for y. 5 Solve -47*l = 11*s - 7*s + 403, -3*s + s + s + 22 = -2*s - 3*l for s. 5 Solve 2*m - 4*b = -0*m + 62, -60*b = -2*m - 64*b + 78 for m. 35 Solve -52*a = 2*h + 44*a - 95*a + 16, -3*h - 45 = 3*a for h. -1 Solve 2*d = 2*a - 14, 16*a - 176 + 40 = 4*d for a. 9 Solve 0 = -2*v - 11333*j + 11328*j + 303, -2*j = -5*v - 98 for v. 4 Solve -11*t + 4 = 4*x - 16*t, -14*t = 4*t for x. 1 Solve -15*g - f - 5 - 13 = 8, -5*g - 5*f = -10 for g. -2 Solve 280*h - 144*h - 132 = 140*h, 3*h = -4*d - 103 for d. -1 Solve -9*s = 3*g - 21, 3962*s - 4*g = 3961*s + 11 for s. 3 Solve 4*k - 256 = 5*i - 270, 2 = 3*i - 4*k for i. 6 Solve -1437*c = 3*r - 721*c - 713*c + 36, -r - 2*c - 21 = -0*r for r. -3 Solve -21*s + 4*r - 437 = 0, -s = -r + 2*r + 11 + 11 for s. -21 Solve -77*g + 79*g - 4*d = 0, -5*g - 22*d = -32 for g. 2 Solve 25 = -3740*v + 3737*v + 2*x, -99*x = -3*v + 72 for v. -9 Solve -4 = -83*v + 87*v - 4*j, 11*v + 4*j - 4 = 0 for v. 0 Solve 17 = -1651*f + 1650*f - 2*a, -f + 32 = -5*a for f. -3 Solve 7*y + 9*w = -4*y - 23*w - 326, 0 = y - 5*w - 2 for y. -18 Solve 3*w - 5*t + 71 = 0, -117*t - 62 = 5*w - 121*t for w. -2 Solve -s = 28*i, 0 = -5*s + s + 3*s + 291*i - 290*i for s. 0 Solve 56 = 12*t + 7483*c - 7479*c, -5*t + 11*c = 2 for t. 4 Solve -4*k - 2*s = -82 + 201 - 93, -6*s - 15 = -s for k. -5 Solve 4 = -5*l + 6*l, -300 = 4*f - 9*l - 268 for f. 1 Solve 4*b = v + 41, 3740*b + 6*v + 341 = 3745*b for b. -5 Solve 3550*i + 0*q - 187 = 3553*i + 49*q, -4*i - 4*q = 4 for i. 3 Solve 4*v - 44 = 4*h, 10*h + v = 15*h - 64 + 59 for h. 4 Solve 5*p + 4*k = 19, 3*p - 72*k - 7 = -74*k + 4 for p. 3 Solve -2*z = -5*u - 17, 1034772*z - 1034770*z - 20 = 8*u for z. 6 Solve -5*v = 5*u - 10, 4*v + 97 = -3*u + 108 for v. 5 Solve 2*l + 14 = 2*n, 18*l - 272121*n + 272124*n - 21 = 0 for l. 0 Solve -3*d - 48 = 3*s, 44*s = 2*d - 22*s + 304 for d. -20 Solve -3*p = -5*s - 20, 798*s - 787*s + 28 = -28*p - 16 for s. -4 Solve 5*y + 246 = 2*q, -59*y = -215*y + 177*y - 2*q + 1046 for y. -50 Solve -4*j - 23 = -5*q - 2*j, -j - 20 + 28 = 4*q - 0*q for q. 3 Solve 138*a - 335 = 114*a - 119, -42 = 3*t - 5*a for t. 1 Solve -7*c = -5*c - 44 + 50, -14*s = -4*c - 54 for s. 3 Solve 4*n = w + 17, n = -0*n + 45*n + w - 175 for n. 4 Solve -10*p - 5*m = -15, -3*p + 2*m - 2508 = -2523 for p. 3 Solve 9*q + 17*q = 2*x + 27*q - 21, 4*x - 7*q = -75 for x. 4 Solve 207*i + 81 + 151 = -3*n + 415*i - 204*i, 3*n + 3*i + 267 = 0 for n. -84 Solve -h - 30 = -333*m + 330*m, 5*m + 0*m + 12*h + 565 = 0 for m. -5 Solve -2*g = -2*g + g - 2*u - 20, -4*u - 811 = 4*g - 927 for g. 26 Solve -16*g + 4*r - 52 = 0, -3249*r + 3245*r + 4 = -4*g for g. -4 Solve -j = -2*z, -9*z + 12*z - 1158 = 29*j - 1048 for z. -2 Solve -2*i = 4*s + 14, -681340 = -4*s + i - 681339 for s. -1 Solve 326 = 2*u - 8*w, 0 = -15*u + 5*w - 442 + 577 for u. -5 Solve -8*m - 215 = 32*m - 5*s, 0 = 291*m - 288*m - 3*s + 3 for m. -6 Solve -2*l = -6*l + 5*k - 0 - 0 + 8, -10*l + 5*k = -1510 + 1490 for l. 2 Solve 4*k + 3*o = -9, -363*o = 88*k - 368*o - 299 for k. 3 Solve t - 5 = -636*n + 633*n, 5 = n + 2*t for n. 1 Solve -171 = 6*n - 6*b - 405, n - 5*b - 179 = 0 for n. 4 Solve 4*q - 56 = -3*d - 33 - 25, 4*q + 65*d - 75*d + 80 = 0 for q. -5 Solve 0 = 3*v - 3706*m + 3561*m - 414, -3*v - 11 = -4*m - 2 for v. -7 Solve 16*r - 18*r + u = 12, 2*r = 2*u + 1 - 11 for r. -7 Solve -22*q + 143 = -3*g, 3571*g = 3569*g + 29*q
{ "pile_set_name": "DM Mathematics" }
xt in 1124, 3243, 6368, 10517, 15708, 21959, 29288? 37713 What is the next term in -74916913, -74916914, -74916915, -74916916? -74916917 What is the next term in 130589, 261154, 391691, 522188, 652633? 783014 What is next in -37607, -38154, -38703, -39254? -39807 What is next in -594430, -594553, -594678, -594805? -594934 What comes next: 257687, 257716, 257745? 257774 What is the next term in -19, 915, 2329, 4103, 6117, 8251, 10385, 12399? 14173 What is the next term in 1206, 4590, 10144, 17868? 27762 What comes next: -18467, -16082, -12111, -6554, 589? 9318 What comes next: -103, 182, 859, 1940, 3437? 5362 What comes next: 1199840, 1199845, 1199850, 1199855, 1199860, 1199865? 1199870 What is next in 509011834, 509011835, 509011836, 509011837? 509011838 What comes next: -2752, -3804, -4856, -5908? -6960 What is the next term in 12495, 99908, 337211, 799350, 1561271, 2697920, 4284243? 6395186 What is next in -479017, -958059, -1437099, -1916137, -2395173, -2874207? -3353239 What is next in -1749200, -3498394, -5247588, -6996782, -8745976? 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-114858 What is the next term in -95126, -95016, -94836, -94586, -94266, -93876? -93416 What is the next term in 7126, 13302, 19478, 25654, 31830, 38006? 44182 What is the next term in -112499, -224739, -336975, -449207? -561435 What comes next: -73041, -146113, -219197, -292293, -365401, -438521, -511653? -584797 What is next in -12556876, -12556836, -12556796, -12556756? -12556716 What comes next: -535913, -1071782, -1607651, -2143520, -2679389, -3215258? -3751127 What is the next term in -869, -1729, -2767, -4073, -5737, -7849, -10499, -13777? -17773 What comes next: 82, 651, 1712, 3259, 5286, 7787? 10756 What comes next: 47315059, 94630122, 141945189, 189260260, 236575335, 283890414, 331205497? 378520584 What is next in -13055, -13038, -13015, -12986, -12951, -12910? -12863 What is next in -269144, -538310, -807490, -1076684, -1345892, -1615114, -1884350? -2153600 What is next in 559355, 559464, 559573? 559682 What is the next term in -9292060, -18584116, -27876172, -37168228, -46460284, -55752340? -65044396 What comes next: 1025215, 1025390, 1025683, 1026094? 1026623 What is the next term in 14392, 11339, 8282, 5221, 2156? -913 What is next in -6735296, -6735285, -6735274, -6735263, -6735252? -6735241 What is next in 1073593, 1073592, 1073599, 1073614? 1073637 What is next in 9358, 9215, 8964, 8599, 8114, 7503? 6760 What comes next: -588, -3914, -9434, -17148, -27056, -39158, -53454? -69944 What is next in 192903, 385816, 578721, 771618, 964507, 1157388, 1350261? 1543126 What is the next term in -513758, -513718, -513644, -513530, -513370? -513158 What comes next: -5973, -11758, -17157, -21978, -26029? -29118 What is next in 1477, 4329, 9083, 15739? 24297 What is next in 354307, 354172, 354035, 353896, 353755, 353612, 353467? 353320 What comes next: 68058893, 68058894, 68058895? 68058896 What is the next term in 532852, 1065612, 1598370, 2131132, 2663904, 3196692, 3729502? 4262340 What is next in 4227, 582, -3063, -6708? -10353 What comes next: 26635146, 26635134, 26635116, 26635092, 26635062? 26635026 What is the next term in 70329, 140578, 210831, 281088, 351349, 421614, 491883? 562156 What is the next term in -4150564, -4150557, -4150546, -4150531? -4150512 What comes next: 645412, 645443, 645474? 645505 What comes next: 3078, 3393, 3940, 4737, 5802? 7153 What is next in 6874, 7132, 7836, 9208, 11470, 14844, 19552? 25816 What comes next: 28295602, 28295601, 28295600, 28295599, 28295598? 28295597 What is the next term in 811920, 1625097, 2438274? 3251451 What comes next: 43115, 172439, 387949, 689621, 1077431, 1551355? 2111369 What is next in 52006, 53155, 54304, 55453, 56602? 57751 What is next in -364, -2123, -6182, -13465, -24896, -41399? -63898 What is the next term in -487815, -487800, -487783, -487764, -487743, -487720, -487695? -487668 What is the next term in 20600, 37463, 54326, 71189, 88052? 104915 What comes next: -4505, -8829, -13179, -17555, -21957? -26385 What comes next: 10118434, 10118442, 10118450? 10118458 What is next in 1977970, 1977977, 1977984, 1977991, 1977998, 1978005? 1978012 What is the next term in 86, 373, 858, 1541? 2422 What comes next: -30630, -122589, -275854, -490425, -766302, -1103485? -1501974 What is the next term in -782, -1116, -992, -410, 630, 2128, 4084? 6498 What is next in 65573, 131139, 196705, 262271, 327837, 393403? 458969 What is the next term in -7922765, -7922764, -7922763, -7922762? -7922761 What comes next: 912459, 1824927, 2737395, 3649863, 4562331, 5474799? 6387267 What is the next term in -57725, -57761, -57795, -57821, -57833? -57825 What comes next: -663071, -663259, -663579, -664037, -664639? -665391 What comes next: 28, -515, -1390, -2603, -4160, -6067, -8330? -10955 What is next in 177668, 177439, 177210, 176981, 176752, 176523? 176294 What is next in -1051447, -2102883, -3154305, -4205719, -5257131? -6308547 What is the next term in 1397062, 1397088, 1397114? 1397140 What is next in -11402, -22693, -33890, -44969, -55906, -66677, -77258? -87625 What is the next term in -61443, -122533, -183551, -244461, -305227, -365813, -426183, -486301? 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-11487 What is next in 6178, 6307, 6528, 6841, 7246? 7743 What is next in 652960, 1306778, 1960596, 2614414, 3268232, 3922050? 4575868 What comes next: -71, 141, 871, 2353, 4821? 8509 What comes next: -96418, -771239, -2602850, -6169645, -12050018? -20822363 What comes next: -4005, -8110, -12147, -16116, -20017, -23850, -27615? -31312 What comes next: -14259, -14502, -14907, -15474, -16203, -17094? -18147 What comes next: -103455, -105573, -107691? -109809 What comes next: 31953, 127034, 285507, 507378, 792653, 1141338? 1553439 What is the next term in -9389, -10949, -12507, -14063, -15617, -17169? -18719 What comes next: -601343145, -601343144, -601343143, -601343142, -601343141, -601343140? -601343139 What is next in 10264, 40414, 90688, 161092, 251632, 362314, 493144, 644128? 815272 What comes next: -2013, -2941, -3869, -4797, -5725? -6653 What is the next term in 3510453, 3510459, 3510465, 3510471? 3510477 What is next in 3071, 9440,
{ "pile_set_name": "DM Mathematics" }
+ 5*s = 5, s + 10 = -2*d + 5*d. Solve -d*n = 10 - 35 for n. 5 Let j(t) = -t**3 + 5*t**2 - 4*t - 1. Let q be j(3). Solve -q = 5*o - 4*o for o. -5 Let t = 0 - -1. Let b = 1 + t. Solve 2*k + 8 = -b for k. -5 Let w = -20 + 11. Let j = 13 + w. Let i(r) = -r**3 + 3*r**2 + 3*r + 5. Let k be i(j). Solve g - k = -4 for g. -3 Let b = 0 - 2. Let x(k) = k + 2. Let t be x(b). Suppose -44 = -3*m + 2*l, -l = -4*m - t*l + 62. Solve -3*g + 7*g + m = 0 for g. -4 Suppose -155 = -4*n + 405. Let f = n + -78. Let k be (-4)/(-22) - f/(-22). Solve -h - k*h + 4 = 0 for h. 1 Let n be -1 - (2 + -1) - -4. Suppose 5 = a + 5*s - n, 13 = 5*a + 3*s. Solve c - 2 = a for c. 4 Let p(m) = -10*m - 3. Let o be p(-2). Let h = -10 + o. Solve 3 = -2*l + h for l. 2 Let l = 1 + 3. Suppose 3*z - 3 - 9 = 0. Solve -4 = z*n + l for n. -2 Suppose 3*k - 2*f - 9 = 0, k - f - 3 = 3*f. Suppose -3*c + 8 = -4*p, k*p + 0 = -3*c - 6. Solve c = 3*x - 5*x for x. 0 Suppose 12 = 4*t - t. Suppose 19 - t = 3*u. Let n(s) = s - 5. Let o be n(u). Solve o = w - 3*w - 8 for w. -4 Let d be ((-12)/7)/(3/(42/(-4))). Solve -d*q = -3*q for q. 0 Let m = -10 + 13. Solve m*q + 4 = q for q. -2 Suppose 0*k - 2*k - 9 = -g, -4*g = -20. Let o be (k/5)/((-1)/10). Solve 1 = -o*f + 5 for f. 1 Suppose -10 = -3*z + 2*z. Solve z = 2*a + 3*a for a. 2 Let u be 2*(-5 + 1)/(-4). Solve -2 = -u*i + 4*i for i. -1 Suppose -3*i + g = 20, -4*i - 2*g - 19 - 21 = 0. Let l = 11 + i. Solve 2*n + l + 1 = 0 for n. -2 Suppose 9*a - 4*a = 20. Suppose 4*s - 22 = -9*n + a*n, 4*s - 6 = 3*n. Solve n = 2*v - 2 for v. 2 Let l be (-34)/(-6) - (-24)/(-36). Solve 0 = l*i + 7 + 3 for i. -2 Let y(b) = -b**3 + 24*b**2 + 26*b - 18. Let d be y(25). Solve -d*h = -3*h + 8 for h. -2 Suppose 0*m = 6*m - 30. Solve -i = 4*i + m for i. -1 Let k = 8 - 6. Let l(j) = -j - 1. Let a be l(5). Let g = 1 - a. Solve -k*n + 1 = -g for n. 4 Let k(l) = l**3 - 7*l**2 - 8*l. Let y be (3/(-9))/((-2)/48). Let f be k(y). Solve f = 4*t - 21 + 5 for t. 4 Let s = -16 + 20. Solve g + s = -g for g. -2 Let i = 29 - 9. Solve p - i = -3*p for p. 5 Suppose -3*g - 6 + 0 = 3*b, 2*g = 2*b - 12. Suppose 3*x + 0*x = 0. Let w(k) = k**3 - k**2 + k + 4. Let i be w(0). Solve -f + b - i = x for f. -2 Let x(o) = o**3 - 14*o**2 + 12*o + 19. Let d be x(13). Solve 0 = -i + 4*i + d for i. -2 Let s(o) = o**2 + o. Let v be s(0). Let i(p) = p**2 + 12*p + 11. Let r be i(-11). Suppose -l - 1 = r, v = -q - q - 5*l + 3. Solve -h - q*h = 5 for h. -1 Suppose 3*y + 5*v - 35 = 0, 2*v = 4*y + 14 - 52. Let o = y - 8. Solve -o = -2*p - 12 for p. -5 Let d(y) = -2 + 3 + 4*y**2 + y + y**2. Suppose -2*b = 2*z, 3 = -2*z + b - 0. Let u be d(z). Solve -3 = -u*s - 8 for s. -1 Suppose 0*x + 3*x = -b + 24, 0 = b - 3*x. Solve -b = 4*y - 0 for y. -3 Suppose -32 = -5*q + j, 2*j - 3 = -5*q + 23. Suppose -q*u = -4*u - 4. Solve -12 = -t - u*t for t. 4 Let l be (3*(-2)/(-6))/(-1). Let g be 0/(l + 0 + 2). Suppose r - 2*r + 8 = g. Solve -4*d + 12 = -r*d for d. -3 Let t be 0 - (-2 + 1)/1. Let y be 3/(0 + t/1). Solve 0*n = y*n - 9 for n. 3 Let y(h) = h + 5. Let j be (0 + -1)/1 + -3. Let v be y(j). Let l(p) = p + 1. Let k be l(4). Solve 4 = -k*n - v for n. -1 Suppose 47 - 11 = -3*l. Let b be (l/42)/((-1)/7). Solve -2*d - b*d = 0 for d. 0 Let a be (-88)/(-32) + (-6)/8. Suppose 3 = a*f - 3. Suppose -5*s + 5*j - 10 = 3*j, -4*s - 2*j + 10 = 0. Solve s = -f*m - m for m. 0 Let y(f) = 2*f**3 - 3*f**2 + 3*f - 2. Suppose -3*i - 4 = -10. Let s be y(i). Suppose 4*w - s - 20 = 0. Solve -3*t = 19 - w for t. -4 Let u be 4/(-32)*-4*0. Let l(t) = t**2 - 5*t + 4. Let c be l(5). Solve u = 2*b + c - 10 for b. 3 Let z(c) = -c**2 - 3*c + 2. Let v be z(-3). Let n = 13 - 20. Let p = n - -27. Solve -v*j + 6*j = p for j. 5 Let i be (96/15 - 6)/((-2)/(-40)). Solve -3*f = -i*f for f. 0 Let j = 75 - 67. Solve 17 = 5*v - j for v. 5 Suppose 5*o - 17 = 2*n, 6*n - 4*o + 17 = n. Let w be 4 + n + 8/4. Solve -11 = -4*g + w for g. 4 Suppose 5*y + 37 = 232. Let j be (3/(-9))/((-1)/y). Let z(u) = -u**3 + 11*u**2 + u - 8. Let i be z(11). Solve -5*v = -j + i for v. 2 Suppose -4*m + 2*s + 14 = -0*m, m - s = 3. Solve 0 = -m*y + 11 + 1 for y. 3 Let v(f) = f**2 + 4*f - 2. Let z be v(-5). Suppose 17 = 5*a + 52. Let q(h) = h**2 + 8*h + 7. Let l be q(a). Solve l = z*d - 0 + 6 for d. -2 Let j = -15 - -8. Let o(a) = a + 8. Let n be o(j). Solve -s + 2 = n for s. 1 Let f = -42 - -47. Solve -2*r + f*r = 12 for r. 4 Let t be ((-18)/10)/(9/(-15)). Solve 0 = -t*y + y + 10 for y. 5 Suppose -3*f + 9 + 15 = 0. Let k(u) = -u**2 + 8*u + 7. Let b be k(f). Suppose b = 5*x - 8. Solve -7*j = -x*j + 16 for j. -4 Let z(k) = k - 2. Let h be z(2). Let f = 11 + -2. Suppose c - f = -2*c. Solve c*q - 8*q - 10 = h for q. -2 Let z = -4 - -6. Let y be z/(-4)*8/(-2). Suppose y*a - 5*c - 28 = 0, 4*a + 0*a - 12 = -c. Solve -5*n + a*n = 0 for n. 0 Suppose -3*h + 3*z - 8 = -h, -z + 8 = 2*h. Solve -m - h + 0 = 0 for m. -2 Suppose 0 = 3*q - 0*q. Suppose -g + q*g = 0. Suppose g*y = 4*y + 2*r - 46, -2*y = 5*r - 43. Solve -6 = -3*o + y for o. 5 Let v(g) = -7 + 0*g - 2*g + 0*g. Let j be v(-4). Solve y - j = -0*y for y. 1 Let b be (14/(-6))/((-6)/18). Let n = -4 + b. Suppose n*g - 2*q = 13, -2*g + 6 - 1 = -5*q. Solve -3*m - 17 = -g for m. -4 Let v(n) = -n**2 + 7*n - 7. Let c(l) = l - 4. Let a be c(9). Let w be v(a). Solve 1 = w*t + 16 for t. -5 Let a be (-1)/(4 + 39/(-9)). Solve a*s + 1 = 7 for s. 2 Let s be (0 - 1)/(2/(-28)). Solve -s + 4 = 2*r for r. -5 Let u be 15/(-25)*10/(-1). Let n be 2/4*u - -1. Solve p - n = -5 for p. -1 Let j be (3*1)/((-2)/4). Let d(b) = -b**3 - 7*b**2 - 8*b - 4. Let n be d(j). Let v be 1 + n + -1 + 0. Solve -2*z = 2 + v for z. -5 Suppose 3*r = -r + 400. Suppose 2*h = 6*h - r. Solve 0 = -0*a - 5*a + h for a. 5 Suppose 2*o - 3*p + 0*p + 9 = 0, -5*p + 15 = 0. Suppose 14*v + 6 = 17*v. Solve 0 = -v*c - 4 - o for c. -2 Suppose 5*j - 28 = 2. Solve j*n = n for n. 0 Let g = -10 + 17. Let m(o) = o - 5. Let v be m(g). Solve -5 = v*w - w for w. -5 Suppose -2*l + 15 = 3*l. Suppose 5*u - i = 3, l*u + 2*i = -2*i - 12. Let x = -6 - -21. Solve -4*j + 9*j - x = u for j. 3 Suppose 0 = -3*d - 0*d + 24. Solve -d = 4*g + 4 for g. -3 Let v(u) = u**2 + 9*u + 22. Let r be v(-6). Solve -9*a + r*a = 20 for a. -4 Let h = 34 + -31. Solve -h*t + 1 = -5 for t. 2 Let x(f) = 6*f - 4*f - 3*f**2 + 5*f**2 - f**2 + 2. Let n be x(-2). Solve n*a = a + 1 for a. 1 Let k be (-54)/(-135) + (0 - (-26)/10). Solve -6*l = -k*l - 15 for l. 5 Suppose -4*x + 5*x = -1. Let y = 1 + x. Suppose -44 = -4*l - 4. Solve -2*s + l = -y*s for s. 5 Let n(z) be the third derivative of z**6/20 - z**5/30 + z**4/24 + 4*z**2. Let h be n(1). Solve h*b + 12 + 8 = 0 for b. -4 Suppose -1 - 11 = 2*b. Let w be -2*(-4)/(-6)*b. Solve 7*k - w = 5*k for k. 4 Suppose 3*d = 5*d - 4. Solve g + 6 - d = 0 for g. -4 Suppose 6*a - 78 = -7*a. Solve 2*n = 5*n + a for n. -2 Let r be (-3 + 2)*0 - -8. Solve -2*b = 2*b + r for b. -2 Suppose 5*b - 28 = j, 0 = -3*b - j - 5 + 25. Solve b*p - 6 = 3*p for p. 2 Let w = -5 - -6. Suppose 5*i = -2*j + 29, 3*i - 22 = -3*j - w. Suppose -2*f + f = -j. Solve 4*m - 2*m = -f for m. -1 Let c be 2/6 - (-5)/3. Suppose 2*g = 5*b + 38, 5*b - 9 = -5*g + 16. Let p = g - 1. Solve 4*h + p = c*h for h. -4 Let s(w) = -w**2 + 19*w + 42. Let u be s(21). Solve u = r - 0*r + 4 for r. -4 Suppose -16 = 3*s + 50. Let z be s/(-6) - 2/(-6). Suppose -2*c = -3*c + 1. Solve z = g + c for g. 3 Let f be (2 - -1) + 0 - 0. Suppose -f*c + 5 + 1 = 0. Solve c + 10 = -4*l for l. -3 Let t(d) = d**3 - 8*d**2 + 8*d - 6. Let s be t(7). Let h be s/2 - 1/(-2). Let f = 0 + h. Solve 2*z = -f - 1 for z. -1 Let w = 8 + -17. Let o be w/15*1*-10. Solve 0*r - 2*r + o = 0 for r. 3 Let n(i) = -i**3 + 8*i**2 - 3*i + 3. Let p be n(7). Let f = p - 10. Solve 5 = -4*t + f for t. 4 Let o = 82 - 82. Solve 4 = 2*s - o for s. 2 Suppose 2*f + 30 = -k, -3*f - 2*k + k - 47 = 0. Let g = f + 17. Solve 2*o + 2 + 0 = g for o. -1 Let v be (-114)/(-15) + 2/5. Solve 5*l - 2 = v for l. 2 Suppose 0 = -5*w + z + 23, 4*w = -z + 6*z + 31. Suppose -2*b + 24 = 5*h, 3*h - 27 = -3*b - 0*h. Solve -w*f = b - 27 for f. 5 Let z = -11 - -17. Suppose 8*f = 3*f + 4*n - 6, 3*f + 6 = 3*n. Solve -5*w = -f*w + z for w. -2 Let i(q) = 5*q**2 + 4*q + 1. Let l(p) = -p**2 - p. Let t(r) = i(r) + 4*l(r). Let d be t(2). Solve d*o = o + 1
{ "pile_set_name": "DM Mathematics" }
*2 - 2*s - 2. Let q be d(-2). Let v = -12 + q. Suppose -v*p = -4*p + 40. What is the greatest common factor of p and 4? 4 Let o = -2 - 4. Let q be (3 - 3 - o)/2. Suppose q*g + g - 12 = -4*y, -g - 5 = -y. Calculate the highest common factor of y and 16. 4 Let b be (-1 + (-1)/(-2))*0. Suppose 0 = -g - b*g + 5. Suppose g*h + 11 = -4, 5*h = 3*n - 84. Calculate the highest common factor of n and 46. 23 Let k = 6 - 2. Let j be 3 + (-7 + 3 - -6). Suppose 6 - j = s. Calculate the greatest common factor of s and k. 1 Let b = 17 - 11. Suppose 0 = -43*f + 49*f - 36. What is the highest common factor of f and b? 6 Let v be ((-40)/15)/4*3 + 54. What is the greatest common factor of v and 234? 26 Let h = 468 + -396. What is the greatest common divisor of h and 81? 9 Suppose -4*z + z + 462 = -3*v, -5*z = 4*v + 607. Let f = v + 265. Calculate the highest common factor of 14 and f. 14 Suppose -5*b + 19 = -n, -5 - 9 = n - 4*b. Suppose -160 = -i + n*i. Let v be i/(-12) - 1/(-3). What is the greatest common divisor of 3 and v? 3 Suppose 4*n - 12 = 5*q + 3, -q - 4 = -n. Suppose -5 = n*g, -4*w + 2*g + 28 = -70. What is the highest common divisor of w and 36? 12 Let b = 414 + -393. Calculate the highest common factor of 7 and b. 7 Let u = 12 + 3. Suppose -8*f + 28 = -212. Calculate the greatest common factor of u and f. 15 Suppose -2*p - 1058 = -4*o, 3*p - p - 538 = -2*o. What is the greatest common factor of o and 114? 38 Suppose 8*o = 14*o - 7296. What is the highest common divisor of o and 76? 76 Suppose -n - 5 = 1. Let p(f) = f**3 + 7*f**2 + 4*f - 8. Let t be p(n). What is the greatest common factor of t and 1? 1 Suppose 86 = -4*w + 154. Calculate the greatest common factor of 34 and w. 17 Let i be (-6)/(-8) - (-3)/(-4). Suppose 0*r - 4*r = i. Suppose 0 = -5*a + 3*h + 1080, -4*a + 864 = -r*a - 5*h. What is the highest common divisor of 24 and a? 24 Let v(s) = -4*s - 1. Let w be 2/(-4)*-1*-2. Let d be v(w). Suppose -k + 5 = -0*o + 5*o, -d*k + 2*o + 49 = 0. What is the greatest common divisor of 105 and k? 15 Suppose -3*f - 5*v = 6, -9 = -f + 2*f + 4*v. Let c(u) = 2 + 5*u - u - 2*u**2 - u**f + 3*u**2. Let o be c(-3). Calculate the highest common factor of o and 78. 26 Let b be (1292/(-16) + 6)/((-2)/8). What is the highest common factor of b and 46? 23 Suppose 5*u - 44 - 15 = 2*b, 0 = -3*u + 5*b + 43. Calculate the highest common factor of 5 and u. 1 Let g = 53 + 234. Suppose -5*i + g = 27. Calculate the greatest common divisor of i and 4. 4 Let c = -126 + 196. Suppose 10*v - c = 5*v. Let l = 30 - v. What is the highest common divisor of 16 and l? 16 Suppose -4*g + 3740 = 7*u - 5*u, 0 = 5*g - u - 4675. What is the greatest common factor of 170 and g? 85 Let t = -28 + 49. Suppose -74*o + 76*o + 42 = 0. Let k = 84 - o. Calculate the highest common divisor of t and k. 21 Let d = -2649 + 2654. Suppose 4*f - 225 = -f. What is the highest common divisor of f and d? 5 Let s = -249 - -264. What is the greatest common divisor of s and 5? 5 Let l be 40 + 4/10 + (-180)/75. What is the greatest common factor of 95 and l? 19 Suppose 58*s + 57*s - 3290 = 21*s. Suppose -4*m + 5*x = -38, 2*m + 3*x = x + 10. What is the highest common divisor of s and m? 7 Suppose 152 = 3*i + 5*r, 23*i - 20*i - 2*r = 166. What is the highest common factor of 351 and i? 27 Suppose 15*c = 12*c + 174. What is the highest common divisor of c and 2? 2 Let y(k) = -k**2 + 12*k - 11. Let v be y(7). Suppose 6*t - 2*t + 4*g - 72 = 0, -2*t - 4*g = -32. Let p = t + -8. What is the highest common divisor of p and v? 12 Let z be 18/81 + (-43)/(-9). Suppose -27 = -4*x + 3*o + 46, 0 = -z*x - 3*o + 71. What is the greatest common factor of x and 40? 8 Suppose -4*v - 5*n + 305 = 0, -4*n - n = -4*v + 295. What is the greatest common factor of v and 6? 3 Let j = -719 - -751. Calculate the greatest common factor of 128 and j. 32 Suppose -3*a = -a - 28. Suppose 1540 = -13*g + 23*g. Calculate the highest common factor of g and a. 14 Suppose -538 = -q + b, -4*q + 2154 = -0*b - 3*b. Suppose -6*k + 2*k + q = 0. What is the highest common factor of 15 and k? 15 Suppose -290*g = -287*g - 15. What is the highest common factor of 605 and g? 5 Let d = -28 - -28. Suppose -f - 3*f + 88 = d. What is the greatest common divisor of f and 154? 22 Let d be 141/(-24)*-4 + 3/2. What is the highest common divisor of 475 and d? 25 Let u = -71 - -87. Calculate the highest common factor of u and 4. 4 Let u(y) = -y**2 + 5*y - 1. Let i(x) = x + 4. Let a be i(0). Let b be u(a). Suppose 0 = -b*s + 524 + 16. Calculate the highest common factor of s and 20. 20 Suppose w - r + 7 = 23, 3*r + 12 = w. What is the greatest common factor of 96 and w? 6 Suppose -5*b + 8 = 2*o, 4 = -3*o + 4*o + 5*b. What is the highest common divisor of o and 5? 1 Suppose -4095 = -6*k - k. What is the greatest common factor of 45 and k? 45 Let a(k) = -146*k + 2348. Let h be a(16). Let n(y) = -17*y + 1 + 0 + 6*y. Let z be n(-1). What is the greatest common divisor of z and h? 12 Suppose 520 = 46*x - 38*x. What is the highest common divisor of 52 and x? 13 Suppose 113 = d - k, 0*k + 4*k + 20 = 0. Let h(s) = s**3 - 2*s. Let x be h(2). Let y be (-2)/x - (-74)/4. What is the greatest common divisor of y and d? 18 Let x = 21 - 3. Let j = 27 + x. What is the highest common divisor of j and 9? 9 Suppose -5*g + 4*o + 4322 - 1076 = 0, -3*o - 658 = -g. What is the highest common factor of g and 38? 38 Suppose -27*i = -23*i - 580. Suppose 5*b - 37 = -4*t - 0*t, 20 = b + 5*t. Suppose -45 = b*k - i. What is the greatest common factor of k and 10? 10 Let r(b) = -7*b + 30. Let f be r(4). Suppose -f*l - 42 = -4*o, -3*l - 2 = 1. Calculate the highest common factor of o and 130. 10 Let w = 42 + -38. Suppose -w*a + 18 + 10 = 0. What is the greatest common divisor of a and 1? 1 Let r(x) = x**2 - 6*x + 7. Let a be r(5). Let n be (-44)/a*5/(-10). Let z = n - -6. What is the greatest common factor of 85 and z? 17 Let p = 689 - 401. What is the greatest common divisor of 9 and p? 9 Let t(y) be the second derivative of 11*y**3/6 - 11*y**2/2 + 3*y. Let n be t(8). What is the greatest common factor of 7 and n? 7 Let d(m) = -7*m + 11. Let b be d(1). Let f be (b/(-10))/(-3*(-6)/(-810)). Let z(y) = 11*y + 1. Let p be z(4). What is the greatest common factor of p and f? 9 Let o(j) = j**3 - 9*j**2 - 8*j - 20. Let t be o(10). Suppose 2*h - 34 = -t*h. What is the highest common factor of h and 85? 17 Let u be (-4)/10 + (-226)/10. Let k = u + 59. Let x(n) = 4*n + 102. Let y be x(-12). Calculate the greatest common divisor of k and y. 18 Let k = 329 + 189. Calculate the greatest common divisor of k and 14. 14 Let k(a) = -a**3 - a**2 + 8. Let f be k(0). Let d be 4/10 + 348/30. Calculate the highest common factor of d and f. 4 Let i be (-1 + -1)*20/(-4). Suppose 3*j + d - 29 = -0*j, -5*j + 52 = -2*d. Calculate the greatest common divisor of j and i. 10 Let d be (8/(-5))/((7 + -1)/(-480)). Let g = d + -96. What is the highest common factor of 24 and g? 8 Let q be (-2)/13 + 5/((-130)/(-368)). Let v(c) = c + 14. Let g be v(0). What is the greatest common factor of g and q? 14 Let t(o) = -24*o**3 + o**2 - 3*o - 2. Let y be t(-2). Suppose -3*i + 274 = 34. Calculate the highest common divisor of i and y. 40 Let z(g) = -g**3 + 5*g**2 - 3*g. Let q be 1/(24/(-9) - -3). Let d be z(q). Let a = d + -4. Calculate the greatest common divisor of a and 5. 5 Suppose 3*b = 0, 0 = n - 0*b + 2*b - 2. Let c be (-512)/(-4) + (-1 - n). Suppose -2*t + 10 + 90 = 0. Calculate the greatest common divisor of t and c. 25 Let k be ((-68)/(-8))/1*2. Suppose 0 = j + k - 72. Suppose -n + 4*n = 66. What is the highest common divisor of j and n? 11 Suppose -2*a + y + 147 = 0, -5*a + 189 = 3*y - 162. Let r = a + -28. What is the greatest common factor of 396 and r? 44 Let g = 6 + 4. Let i be (-3)/(-15) - (-1258)/g. Calculate the greatest common divisor of i and 14. 14 Suppose -7*u = -10*u + 618. Suppose -u = -g - 2*c, -4*c - 186 = -g - 2*c. What is the highest common divisor of 28 and g? 28 Let c(z) = 219*z - 225. Let n be c(4). Calculate the greatest common factor of n and 63. 21 Suppose 3*s = -0*s - 45. Let t be (s + 5)*(-6)/4. Let r(p) = p**2 - 13*p - 15. Let u be r(15). What is the highest common factor of t and u? 15 Let z be (320/224
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {t: 1, q: 4, r: 5, l: 4, f: 2}. 1/30 What is prob of picking 2 z when two letters picked without replacement from zzzz? 1 Two letters picked without replacement from {n: 13, m: 5}. Give prob of picking 1 n and 1 m. 65/153 Four letters picked without replacement from ycbcbsnn. Give prob of picking 1 n, 1 y, 1 s, and 1 b. 2/35 Calculate prob of picking 1 r and 2 o when three letters picked without replacement from hkrhpoohrrr. 4/165 Four letters picked without replacement from ppppppp. Give prob of picking 4 p. 1 Three letters picked without replacement from yyyyvtvvvyvhzvh. What is prob of picking 1 t and 2 y? 2/91 Three letters picked without replacement from {j: 4, g: 3}. What is prob of picking 3 g? 1/35 Two letters picked without replacement from pufppfuftp. What is prob of picking 2 p? 2/15 Two letters picked without replacement from {c: 1, p: 5, k: 1, y: 3}. What is prob of picking 2 y? 1/15 What is prob of picking 1 x, 1 k, 1 q, and 1 z when four letters picked without replacement from {g: 1, z: 4, k: 1, q: 1, x: 1}? 2/35 Two letters picked without replacement from {k: 3, r: 4, p: 12, w: 1}. Give prob of picking 1 k and 1 r. 6/95 What is prob of picking 2 f and 1 a when three letters picked without replacement from mmtsfpaffaps? 3/110 What is prob of picking 1 k and 2 d when three letters picked without replacement from {p: 1, k: 5, d: 3}? 5/28 Two letters picked without replacement from zzdrrrrqdddrzzxazdax. Give prob of picking 2 r. 1/19 Calculate prob of picking 3 q when three letters picked without replacement from qxtqxttqxqqqtqqt. 1/10 Two letters picked without replacement from {b: 1, u: 17}. Give prob of picking 2 u. 8/9 Two letters picked without replacement from {s: 3, y: 2, j: 10}. Give prob of picking 1 y and 1 j. 4/21 Two letters picked without replacement from qnuxnxuj. Give prob of picking 1 j and 1 x. 1/14 What is prob of picking 3 h when three letters picked without replacement from {n: 4, h: 15}? 455/969 What is prob of picking 1 g and 1 t when two letters picked without replacement from goiggtiozoo? 3/55 Four letters picked without replacement from {o: 11, d: 1}. Give prob of picking 3 o and 1 d. 1/3 What is prob of picking 1 o, 1 f, 1 d, and 1 h when four letters picked without replacement from fuhodfo? 4/35 Two letters picked without replacement from anvnovvjvvvovvaano. What is prob of picking 2 a? 1/51 Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {l: 12, v: 6}. 15/68 Four letters picked without replacement from hfddfllllxdlf. What is prob of picking 2 d and 2 f? 9/715 Two letters picked without replacement from dyyydmy. What is prob of picking 1 d and 1 y? 8/21 Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {e: 2, m: 5}. 4/7 What is prob of picking 1 z and 1 k when two letters picked without replacement from peeoeeepbpkkepezepee? 1/95 Four letters picked without replacement from rqqqrrrrrq. What is prob of picking 2 r and 2 q? 3/7 Three letters picked without replacement from {l: 8, v: 2, x: 1, n: 5}. What is prob of picking 2 l and 1 v? 1/10 Two letters picked without replacement from awwsq. Give prob of picking 1 s and 1 q. 1/10 What is prob of picking 1 v, 2 o, and 1 d when four letters picked without replacement from ddddddvddddoddododdd? 16/1615 Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {w: 2, i: 1, h: 1, x: 2}. 1/20 Calculate prob of picking 4 b when four letters picked without replacement from {b: 6, i: 1, f: 4}. 1/22 Two letters picked without replacement from {r: 1, p: 1, e: 1}. What is prob of picking 1 e and 1 p? 1/3 Calculate prob of picking 1 q and 2 c when three letters picked without replacement from {c: 6, q: 2}. 15/28 What is prob of picking 1 e and 1 c when two letters picked without replacement from mcumamaumsmmmesmcscs? 3/190 What is prob of picking 2 s, 1 f, and 1 c when four letters picked without replacement from {s: 3, u: 3, v: 3, w: 1, c: 1, f: 3}? 9/1001 Four letters picked without replacement from nnnndnndnnn. Give prob of picking 3 n and 1 d. 28/55 Calculate prob of picking 1 x, 1 d, and 1 m when three letters picked without replacement from boxxdmv. 2/35 Three letters picked without replacement from {y: 2, r: 2, v: 4}. What is prob of picking 2 y and 1 r? 1/28 Calculate prob of picking 1 x, 1 t, and 1 h when three letters picked without replacement from tlxlttvhlwvlxvv. 6/455 Four letters picked without replacement from {g: 10, b: 3, m: 2, h: 1}. Give prob of picking 4 g. 3/26 Four letters picked without replacement from kwtkuuwwuukuw. What is prob of picking 4 u? 1/143 Calculate prob of picking 2 i when two letters picked without replacement from {m: 7, c: 1, i: 7, z: 1}. 7/40 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from doqpooqgiioooqioqgii. 14/95 Two letters picked without replacement from {p: 1, w: 1, k: 2}. What is prob of picking 1 p and 1 w? 1/6 Four letters picked without replacement from {v: 1, e: 1, f: 1, l: 2, d: 2}. Give prob of picking 1 d, 1 e, 1 l, and 1 f. 4/35 Calculate prob of picking 3 r and 1 f when four letters picked without replacement from fxrrfrxfrxfr. 8/99 What is prob of picking 1 n and 2 y when three letters picked without replacement from ynyzzn? 1/10 Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {p: 4, h: 16}. 8/19 What is prob of picking 1 i and 2 k when three letters picked without replacement from {k: 8, i: 5}? 70/143 Calculate prob of picking 1 p, 2 y, and 1 d when four letters picked without replacement from bdyababpypbpbybtypb. 2/323 Two letters picked without replacement from {r: 1, e: 3}. Give prob of picking 1 r and 1 e. 1/2 Calculate prob of picking 1 n and 2 a when three letters picked without replacement from aaanaaaanaaanananan. 156/323 Four letters picked without replacement from {w: 1, x: 2, c: 4, k: 3}. Give prob of picking 2 x and 2 k. 1/70 What is prob of picking 2 x, 1 o, and 1 w when four letters picked without replacement from {r: 1, w: 2, x: 5, c: 2, o: 2, f: 1}? 8/143 What is prob of picking 1 d and 2 h when three letters picked without replacement from {h: 7, d: 7}? 21/52 Four letters picked without replacement from {b: 1, s: 2, j: 4, t: 9, p: 3}. Give prob of picking 2 s and 2 t. 3/323 Calculate prob of picking 2 z and 2 o when four letters picked without replacement from zooozzozzsos. 20/99 Two letters picked without replacement from {s: 4, e: 2, o: 10, z: 4}. What is prob of picking 2 o? 9/38 What is prob of picking 2 p when two letters picked without replacement from {e: 2, p: 4}? 2/5 What is prob of picking 1 u and 1 l when two letters picked without replacement from {u: 8, l: 5}? 20/39 What is prob of picking 1 t and 1 y when two letters picked without replacement from {y: 2, t: 6}? 3/7 Two letters picked without replacement from {g: 3, z: 3}. What is prob of picking 2 z? 1/5 Four letters picked without replacement from fkfflpllwfk. What is prob of picking 1 k, 1 f, 1 l, and 1 w? 4/55 Two letters picked without replacement from {l: 2, e: 2, q: 2, b: 2, k: 1, c: 8}. Give prob of picking 1 l and 1 e. 1/34 Two letters picked without replacement from {i: 1, o: 1, b: 3, q: 2, e: 4, w: 4}. Give prob of picking 2 e. 2/35 Calculate prob of picking 4 v when four letters picked without replacement from {v: 5, l: 1, a: 3}. 5/126 Four letters picked without replacement from {r: 2, i: 4, k: 4, t: 4}. Give prob of picking 3 i and 1 t. 16/1001 Calculate prob of picking 2 t and 1 z when three letters picked without replacement from vzzztztzvvvvzzzvtvz. 9/323 Two letters picked without replacement from {c: 4, o: 3, r: 1}. Give prob of picking 1 r and 1 o. 3/28 Three letters picked without replacement from {d: 7, a: 2, g: 1}. Give prob of picking 1 g and 2 a. 1/120 Three letters picked without replacement from uuuueuueueuuuuuu. What is prob of picking 2 e and 1 u? 39/560 Three letters picked without replacement from {k: 4, t: 2, n: 10}. Give prob of picking 2 k and 1 t. 3/140 What is prob of picking 3 h when three letters picked without replacement from hhhhfhhh? 5/8 Calculate prob of picking 1 y and
{ "pile_set_name": "DM Mathematics" }
k - 67 = -3*p. What is the units digit of p? 2 Suppose 753 + 47 = 2*v. What is the tens digit of v? 0 Let g(p) = 2*p**2 + 16*p + 15. What is the units digit of g(-10)? 5 Let j = -2 + 6. Suppose -12 = -j*w - 3*y, -3*y - 16 = 4*w - 7*y. Suppose -4*m = -4 - w. What is the units digit of m? 1 What is the hundreds digit of 9/(-2)*(1 - (-193)/(-3))? 2 Let w = 5 - 1. Suppose -l - 12 = 2*l, -w*r + 32 = -l. Let n = r - 5. What is the units digit of n? 2 Let a = 23 + -38. Let i = a + 24. Let z(b) = 2*b - 13. What is the units digit of z(i)? 5 Suppose 0 = -0*y + y - t - 50, -2*t = -3*y + 145. Suppose a + y = 3*h + 11, -4*h - 3*a + 28 = 0. What is the tens digit of h? 1 Let m be (2 - (3 - 1)) + -10. Let q be (-12)/10*25/m. Suppose -5*o + 18 = -4*a, -2*o + 2*a = -a - q. What is the units digit of o? 6 Let a(u) = -u**3 - 9*u**2 - 15*u + 3. What is the tens digit of a(-8)? 5 What is the tens digit of 6/51 + 236/17? 1 Let i = 16 - 2. What is the units digit of i? 4 Suppose 0 = -5*r + 8 - 3, -4*g - 2*r + 546 = 0. What is the units digit of g? 6 Suppose 840 = -o + 6*o. Suppose -2*w = 4*w - o. What is the units digit of w? 8 Suppose h + h + 623 = 5*z, -4*z + 2*h = -500. What is the hundreds digit of z? 1 Let v be 26/12 + 8/(-48). Let o = 12 - v. What is the units digit of (-2)/o - 303/(-15)? 0 Let i = 0 + -1. Let w be 2*-1 - (0 + i). Let u = 2 + w. What is the units digit of u? 1 Suppose -4*o + 5*x + 0 = -15, 2*x = o - 3. Suppose -o*p = -0 - 10. What is the units digit of p? 2 Suppose -2*a - l = -170, 0 = 4*a - l + 6*l - 328. Let m = a - 55. What is the units digit of m? 2 Let n = 21 - -5. What is the units digit of n? 6 Let v = -17 - -20. Suppose v*j = 18 + 39. What is the units digit of j? 9 Suppose 0 = 23*b - 27*b + 296. What is the units digit of b? 4 Suppose 48 = 2*f + t, 0*t = 4*f + t - 92. Let z = f + -21. What is the units digit of z? 1 Let x(c) = -c + 2. Let r be x(2). Suppose 231 = -r*v - v. What is the units digit of v/(-12) + 1/(-4)? 9 Suppose -4*u = -u - 9. Suppose -3*w + 4*d = 5, 5*d - 4 - 6 = u*w. Suppose f - 4 + 1 = -3*o, -f - 5 = -w*o. What is the units digit of o? 1 Suppose -k + 3 = 2*k. Suppose -3*g = -2*g + k. Let l = g - -3. What is the units digit of l? 2 Let b(m) = 4*m - 7. What is the units digit of b(8)? 5 Suppose -2 = -s + 2. Suppose 0 + s = 2*t. Suppose -5*y + 3*y = -p + 12, t*y + 52 = 5*p. What is the tens digit of p? 1 Let o = 234 + -60. What is the hundreds digit of o? 1 Suppose 2*p + 8 = 84. What is the tens digit of p? 3 Suppose 0 = 2*q - u, 0 = -0*q - q - 4*u + 9. What is the units digit of -7*((-3)/q + 0)? 1 Let o = -208 + 452. What is the hundreds digit of o? 2 Let a(z) = -3*z + 1. Suppose -2*c + 1 + 6 = -w, -5*w - 23 = -4*c. What is the units digit of a(w)? 0 Let u be (-4)/12 + 41/(-3). Let y = u - -25. What is the tens digit of y? 1 Let j(o) = 3*o**2 - 5*o + 2. What is the tens digit of j(4)? 3 Let a = 217 - 113. What is the units digit of a? 4 Let b(w) = 13*w - 20. What is the tens digit of b(11)? 2 Let z(n) be the third derivative of n**6/120 + 11*n**5/60 + 7*n**4/24 - 3*n**3/2 - 4*n**2. What is the units digit of z(-10)? 1 Let k(h) = -2*h + 11. Let m be k(8). Let x = -4 - m. What is the units digit of x? 1 Suppose 3*a = -k - 4, k = 3*a - 3*k + 29. Let g be ((-2)/(-2))/(a/60). What is the tens digit of 2 - (g/2)/1? 1 Suppose -3*h + 169 = r, -4*r - 3*h = -r - 537. What is the tens digit of r? 8 Let m(r) = r**3 - 8*r**2 + 7*r + 11. What is the tens digit of m(7)? 1 Let y = 302 - 158. What is the tens digit of y? 4 Suppose -4*j = 4*o + 20, 4*j + 5*o + 25 = -0*o. Suppose -4*c = -j*c - 32. What is the units digit of c? 8 Suppose -3*p = -1 - 5. Suppose 26 = p*w - 2*z, 0 = 4*z - 2 - 2. What is the units digit of w? 4 Suppose -2*k = k + 45. Let b = k + 26. What is the units digit of b? 1 Suppose -d = 3*l + 308, -l = d - 3*l + 303. Let x = 121 + d. What is the units digit of (-4)/22 - x/44? 4 Suppose g - 3*h - 189 = 22, 3*g - 5*h = 641. What is the tens digit of g? 1 Suppose 3*o + 2*x = 0, -x - x = 6. What is the units digit of o? 2 Suppose 3*w + w + 18 = 3*f, -5*w - 35 = -5*f. Suppose -4*z = z + f. What is the units digit of (-1 + 0)*(z - -1)? 1 What is the tens digit of 2556/45 + (-2)/(-10)? 5 Let o be (-3)/(-2) + (-235)/(-10). Suppose -3*x = -5 - o. What is the tens digit of x? 1 Suppose -y + 0*n = 3*n - 15, 0 = n + 1. What is the tens digit of y? 1 Let i = 245 + -170. What is the tens digit of i? 7 Let a(d) be the third derivative of -d**4/24 + d**3/2 - d**2. Let n be a(0). Suppose -10 = 2*z - n*z. What is the tens digit of z? 1 Let v(s) = -s + 9. Suppose 3*p = 4*b + 13, -6*b + 3*b + 6 = 3*p. Suppose 4 + 11 = p*g. What is the units digit of v(g)? 4 Suppose 3*v + 0*v - 41 = -5*z, 3*z - 19 = v. Let m = z + 30. What is the tens digit of m? 3 Suppose 2*m = 4*m. Suppose m = 2*q - q - 51. Suppose p - 56 = -5*t, 5*t - q = -0*p + 4*p. What is the units digit of t? 1 Let x(o) = -5*o**2 + o - 6. Let v(r) = 11*r**2 - 2*r + 13. Let q(i) = -4*v(i) - 9*x(i). Let a = -2 - -4. What is the units digit of q(a)? 4 Suppose 3*a - 106 = 2. What is the units digit of a? 6 Suppose q + q = 4. Suppose 0 = 3*f - 5*f + 8. Suppose 2*m - f*u = 20, -3*u = q*m - u - 8. What is the units digit of m? 6 What is the units digit of 3/(-1) - -7 - -70? 4 Let f(o) = -2*o - 12. Let i(a) = a**2 - 8*a - 3. Let j be i(5). Let m be 1/(2/j) + 0. What is the units digit of f(m)? 6 Let d(k) = -k**2 - 6*k - 5. Suppose 3*b = 4*b + 5. Let f be d(b). Suppose -3*r + f*r + 5*c + 49 = 0, 0 = -5*r + 4*c + 99. What is the units digit of r? 3 Suppose 0 = -h - 46 - 14. Let n = 110 + h. Suppose -3*j + 3*r = -33, 4*j - 2*r = n - 12. What is the units digit of j? 8 Let p be -1*(-1 + (-5)/1). Let y be (-3)/2*2/(-3). Let b = p - y. What is the units digit of b? 5 Let g = 79 - 30. What is the units digit of g? 9 Suppose -22 = -3*l + 20. What is the tens digit of l? 1 Suppose v - 43 + 9 = -4*d, 4*d = v - 18. What is the tens digit of v? 2 Let t be (-12)/(-3) + -1 + 2. Suppose -n - r + 9 = 0, -t*n + n + 60 = -2*r. Let l = 27 - n. What is the tens digit of l? 1 Suppose 3*t - 5*t = -8. What is the units digit of t? 4 Let r(d) = d - 5. Let g be r(5). Suppose 0 = -q - g*q. Let x = 3 - q. What is the units digit of x? 3 Suppose -n = -4*n - 4*b - 4, 5*n = -2*b + 12. Suppose -40 = -0*y - n*y. What is the units digit of y? 0 Suppose 3*t - 2*g - 6 = 0, 2*g = 6*g. Suppose 8 + 1 = -3*o. Let x = t - o. What is the units digit of x? 5 Suppose 2*i + 5*x - 9 = 9, 0 = 2*i + 2*x - 18. Let h(o) = -o**2 + 14*o - 11. What is the units digit of h(i)? 4 Suppose -13 = -4*t + 11. Suppose 7*k = 4*k + t. What is the units digit of k*1/(2/3)? 3 Let k = -12 + 37. Suppose -3*b + 20 = -k. What is the units digit of b? 5 Let q(w) = -w**2 - w + 1. Let u(x) = -7*x**2 - 9*x + 3. Let h(r) = 6*q(r) - u(r). What is the tens digit of h(-7)? 3 Suppose 2*t = 5*h - 47, 2*h - 19 = -5*t + 23. Let o(c) = 2*c - 2. What is the units digit of o(h)? 0 Suppose 0 = -q + 3 - 2. Let y(i) = 5*i**2 + 0 + 1 - 2*i + 5*i**2. What is the units digit of y(q)? 9 Suppose -4*i - 2*f + 48 = -f, 2*i = -2*f + 24. What is the units digit of i? 2 Suppose 5*d = 4*d + 12. What is the tens digit of d? 1 What is the units digit of ((-2)/1)/((-10)/210)? 2 Suppose 2*o = 5*d - 21, 0*o - 4*o + 13 = d. Suppose 8 = -o*j + 4*q, -3*q + 10 = -j + q. What is the units digit of j? 2 Let f(n) = -n**2 - 7*n + 2. Suppose t = r - 1 + 12, 2*t - 36 = 4*r. Let h be f(r). Suppose 3*d + d - 40 = -4*j, -4*j + 30 = h*d. What is the units digit of d? 5 Let k(i) = -4*i - 3. Let l be k(-3). Suppose -3*g + 0*f + 3*f + l = 0, 4*f + 11 = 3*g. What is the units digit of (-2)/(-6)*9/g? 3 Suppose -3*y + 75 = -9. Let q = y + -1. What is the units digit of q? 7 Suppose -4*r - 4*a = -28, 2*a = -5*r - 2*a + 40. What is the units digit of r? 2 Suppose -79 = -3*o - 2*g, -2*g - 74 = -3*o - 3*g. What is the units digit of o? 3 Let x(k) = -k**2 + 10*k - 2. What is the tens digit of x(7)? 1 What is the units digit of 2 + 8/20*5? 4 Let o(m) = 8*m - 1. Let g be o(1). Suppose -i + 40 = 5*a + 13, 27 = 3*i - 3*a. Suppose -5*y + g*y - i = 0. What is the units digit of y? 6 Let k(i) = 23*i - 22. What is the tens digit of k(7)? 3 Let a = 17 + -21. What is the tens digit of ((-3)/6)/(a/88)? 1 Let s = -7 - -6
{ "pile_set_name": "DM Mathematics" }
mmon factor of 549 and 300303? 549 What is the highest common factor of 710 and 450140? 710 What is the greatest common factor of 360 and 56664? 72 What is the highest common factor of 215 and 10495? 5 Calculate the greatest common factor of 56 and 83426. 14 Calculate the highest common factor of 2990 and 42458. 598 What is the highest common factor of 2065 and 7847? 413 What is the highest common divisor of 18559 and 335? 67 Calculate the highest common factor of 25 and 3694675. 25 What is the greatest common factor of 949 and 3380? 13 Calculate the highest common factor of 180800 and 248. 8 What is the highest common divisor of 1024590 and 1176? 294 Calculate the highest common factor of 639 and 12709. 71 Calculate the highest common divisor of 22391 and 7. 1 Calculate the greatest common divisor of 20068 and 464. 116 Calculate the highest common factor of 6306 and 1398. 6 What is the highest common factor of 3443 and 46376? 11 What is the highest common divisor of 52 and 549588? 52 Calculate the highest common divisor of 444850 and 70. 70 Calculate the greatest common factor of 44 and 177628. 44 Calculate the highest common divisor of 1357565 and 22. 11 What is the highest common divisor of 122366 and 17? 17 Calculate the greatest common divisor of 36 and 1088. 4 Calculate the highest common divisor of 240 and 165840. 240 What is the greatest common factor of 3068 and 17641? 767 What is the highest common divisor of 344 and 141728? 344 Calculate the greatest common divisor of 217690 and 110. 110 What is the highest common factor of 20720 and 799015? 1295 What is the highest common divisor of 66971 and 29842? 347 What is the greatest common factor of 53808 and 2128? 304 Calculate the greatest common divisor of 3125172 and 24. 12 What is the highest common factor of 51802 and 236? 118 Calculate the highest common divisor of 163180 and 8. 4 Calculate the highest common divisor of 182 and 93236. 26 Calculate the highest common divisor of 265244 and 4. 4 Calculate the greatest common factor of 1252 and 1134312. 1252 What is the highest common divisor of 91838 and 658? 94 What is the greatest common divisor of 80 and 920? 40 Calculate the highest common divisor of 134791 and 37. 37 Calculate the highest common divisor of 6234326 and 4242. 1414 What is the highest common divisor of 3665 and 520? 5 Calculate the highest common divisor of 1205651 and 71. 71 What is the greatest common divisor of 1180 and 51035? 295 What is the greatest common factor of 18052 and 4? 4 What is the highest common factor of 29282 and 146? 2 Calculate the highest common factor of 17838 and 432. 18 What is the highest common divisor of 696 and 848076? 348 What is the highest common divisor of 1883 and 28? 7 Calculate the highest common factor of 56970 and 70. 10 What is the highest common factor of 55211 and 299? 13 Calculate the greatest common divisor of 175930 and 1095. 365 Calculate the greatest common divisor of 7498 and 92. 46 What is the highest common factor of 221 and 6162? 13 What is the greatest common factor of 4092 and 759? 33 What is the greatest common factor of 27975 and 98472? 1119 Calculate the highest common factor of 2926 and 19789. 77 Calculate the highest common divisor of 15366 and 1066. 26 What is the highest common factor of 4116 and 692517? 1029 What is the highest common divisor of 733 and 27? 1 Calculate the highest common factor of 91977 and 86. 43 Calculate the highest common factor of 95281 and 1262. 631 What is the greatest common factor of 1368 and 50768? 152 Calculate the highest common factor of 511 and 253091. 73 Calculate the highest common factor of 566880 and 960. 480 Calculate the highest common divisor of 472579 and 101. 101 Calculate the highest common divisor of 684 and 8436. 228 Calculate the highest common factor of 2555 and 14600. 365 What is the highest common factor of 235507 and 71? 71 Calculate the highest common divisor of 1679 and 25623. 73 Calculate the highest common divisor of 20699 and 77. 7 Calculate the highest common divisor of 157 and 397367. 157 What is the greatest common divisor of 57128 and 4366? 74 What is the highest common divisor of 48843 and 4050? 81 What is the highest common factor of 4140 and 4420? 20 What is the greatest common divisor of 1296 and 510381? 81 What is the highest common divisor of 37026 and 204? 102 What is the greatest common factor of 922198 and 366? 122 What is the highest common divisor of 9 and 1775349? 9 Calculate the highest common factor of 660 and 1860. 60 Calculate the highest common divisor of 196 and 26162276. 196 Calculate the greatest common factor of 107 and 435276. 107 What is the highest common factor of 91 and 159159? 91 Calculate the greatest common factor of 22040 and 207640. 1160 Calculate the highest common divisor of 1957 and 165006. 103 What is the greatest common divisor of 146 and 17666? 146 Calculate the highest common divisor of 174 and 5016. 6 Calculate the highest common factor of 47 and 9588. 47 Calculate the highest common factor of 84770 and 1960. 490 What is the greatest common divisor of 791868 and 352? 44 What is the highest common divisor of 44 and 120857? 11 What is the greatest common divisor of 56 and 30544? 8 What is the greatest common divisor of 952 and 925848? 56 What is the greatest common divisor of 515 and 607391? 103 Calculate the highest common divisor of 2 and 99842. 2 Calculate the greatest common divisor of 101014 and 85. 17 Calculate the highest common factor of 5 and 236815. 5 What is the highest common factor of 183762 and 2324? 166 Calculate the highest common divisor of 153 and 65952. 9 What is the greatest common factor of 112 and 1339968? 112 Calculate the greatest common divisor of 212 and 162286. 106 What is the greatest common divisor of 224312 and 88? 88 Calculate the highest common factor of 29869 and 833. 119 Calculate the highest common divisor of 115 and 42481. 23 What is the greatest common divisor of 14196 and 105924? 1092 Calculate the greatest common divisor of 824 and 72821. 103 Calculate the greatest common divisor of 257971 and 14. 7 What is the greatest common factor of 79672 and 92? 92 What is the greatest common divisor of 2499079 and 22? 11 Calculate the highest common divisor of 315 and 34538. 7 Calculate the greatest common divisor of 423 and 18567. 9 What is the greatest common factor of 4005 and 3471? 267 Calculate the highest common divisor of 5918 and 198. 22 Calculate the greatest common factor of 3962 and 5377. 283 Calculate the greatest common divisor of 36 and 286236. 36 Calculate the highest common factor of 4650 and 1200. 150 Calculate the highest common divisor of 62624 and 1824. 608 Calculate the highest common divisor of 1380 and 1935. 15 What is the highest common factor of 83715 and 3075? 15 What is the greatest common factor of 47110 and 4200? 70 What is the highest common factor of 12 and 17716836? 12 What is the greatest common factor of 130 and 172575? 65 Calculate the greatest common factor of 14 and 70322. 14 What is the highest common divisor of 32956 and 70192? 428 What is the highest common factor of 31512 and 5616? 312 Calculate the greatest common divisor of 4408 and 2451950. 1102 What is the greatest common factor of 25361 and 49? 7 Calculate the greatest common factor of 9642 and 14. 2 Calculate the highest common factor of 9541 and 63. 7 Calculate the greatest common divisor of 3097250 and 125. 125 What is the highest common divisor of 78 and 15197? 13 What is the highest common factor of 5904 and 1488? 48 Calculate the highest common divisor of 777 and 1815849. 777 Calculate the greatest common divisor of 5290 and 253. 23 What is the highest common divisor of 31494 and 724? 362 What is the highest common factor of 3003 and 676? 13 What is the highest common divisor of 2834 and 156? 26 What is the highest common factor of 494194 and 206? 206 Calculate the greatest common divisor of 84 and 46692. 12 Calculate the highest common divisor of 705 and 122106. 141 Calculate the highest common divisor of 123 and 597042. 123 What is the highest common divisor of 741498 and 6? 6 What is the greatest common factor of 187147 and 527? 31 What is the greatest common divisor of 12 and 310
{ "pile_set_name": "DM Mathematics" }
t q = 23 - 24. Let l be (5 - 18/4)*q. Let f be (-32)/14 + (-2)/(-1). Which is the closest to l? (a) -2 (b) -0.1 (c) f c Let w be 1/3 + (-7)/(-21). Let l = 0.054 - -0.446. What is the nearest to w in l, -0.3, -3/2? l Suppose -14 = 3*r - 3*p + 19, 4*r + 3*p + 9 = 0. Let u be 2/r - 4/(-6). Which is the closest to -1? (a) 0.1 (b) u (c) 1 a Let t = 31.1 - 31.4. What is the nearest to 0.3 in t, 1/2, 5? 1/2 Let l = 3133/3 - 1045. Which is the closest to 1? (a) 3 (b) -0.02 (c) l (d) 0.1 d Let y = 61.1 + -65.1. Let p = 11 + -6. What is the closest to p in -3, y, -0.3? -0.3 Let y be 0 + 148/(-498) - (-10)/(-10). Let d = -3/83 + y. What is the nearest to 0.4 in d, -0.2, 0.4? 0.4 Let c = 924 + -919. What is the closest to -1 in c, 33, -3, -4? -3 Let v be ((-24)/(-14) - 1) + -1. Suppose -16 = -7*d + 5. Suppose 3*a - 4*b = -3, d*a - a + 4*b = -22. What is the nearest to 1 in a, v, 0? 0 Let u be (-5 + 1)*(-45)/(-810). Which is the closest to 0.01? (a) u (b) 2 (c) 0.5 a Let d = 241.97 - 242. What is the closest to 0 in d, -5, -1/18, 0.1? d Let o = -60 - -84. Let b = -24.09 + o. What is the closest to b in 0, -5, -3? 0 Suppose -2*m - m = z - 628, 3*m + 3*z - 624 = 0. Let j be (-3)/(-15) + m/(-50). Which is the nearest to -1/2? (a) 0.5 (b) 0.02 (c) j b Let p = -1.963 + 2.963. Let s = -6 - -9. Let t be 3/2*2/6. What is the closest to t in 0.3, s, p? 0.3 Suppose 2*t - 6*t = -168. Let v = 106.75 + -106.25. What is the closest to t in -1, -0.1, v? v Let q = 29 - 35. Let x = 4 + q. Let p = -0.5 - -0.8. Which is the nearest to -1? (a) x (b) 0.4 (c) p a Let p = 102.13 + 9.27. Let k = p + -112. Which is the closest to 1? (a) 5 (b) 1 (c) k b Suppose 8*r - 252 = 5*r. Let s be (-2)/(-4)*r/7. Let l(d) = -3*d + 15. Let i be l(s). Which is the closest to 1? (a) -0.3 (b) i (c) 3 a Let y be (6/(-3))/(39*(-4)/(-12)). Let l = 0.03 - 5.03. Which is the closest to 0.3? (a) y (b) 1 (c) l a Let i = -152 + 74. Let f be 3/15 + i/90. Let o = -3 - 2. What is the nearest to f in 0.4, 3/8, o? 3/8 Let g = -5 - -2. Let p = -21.77 + -0.23. Let u = 21.5 + p. What is the nearest to 0.1 in -1/5, u, g? -1/5 Let t = -77 + 78. Let z = 29/2 + -15. Let s = 1.89 + -1.59. Which is the nearest to t? (a) s (b) -3 (c) z a Let g = 0 - -3. Let v be 4/62 + (-2832)/(-2232). What is the nearest to -3 in v, g, 4? v Let h(n) = n**3 + n**2 - 2*n + 4. Let u be h(0). Suppose -u*r = -13*r + 126. Let z = r - 11. What is the nearest to -2 in z, -0.4, 1/11? -0.4 Let m = -0.247 - -1.247. Which is the closest to -0.1? (a) -2/5 (b) 0 (c) m b Let x = 14.9 + -14.8. Which is the closest to x? (a) -1/2 (b) 49 (c) 2/7 c Let h be (-76)/114*24/16. Let j = -0.2 - 0.2. Which is the closest to h? (a) j (b) -1 (c) -0.1 b Let n(x) = -x**2 - 6*x + 10. Let m be n(-7). Suppose 0 = -3*c - 5*q + 5, 0 = -3*c - 0*c + 4*q + 23. What is the closest to 3/5 in 0.5, m, c? 0.5 Let y be 9/(4185/20)*3/(-2). Which is the closest to 2/13? (a) y (b) 2/9 (c) -0.1 b Suppose 3*v - 2*j + 13 = 0, 4*v + 2*j = 3 - 11. Let n = 4 - 4. Let q(i) = 43*i + 950. Let m be q(-22). Which is the nearest to 1/4? (a) m (b) n (c) v b Let y(k) = 2*k**2 + 2*k - 1. Let b be y(2). Let d = b - 13. Let t = -12.1 - -12. What is the nearest to t in d, 0, -0.4? 0 Let n = 289 + -3759/13. Let g be (63/(-168))/((-6)/(-20)). Which is the nearest to n? (a) 2 (b) -0.4 (c) g b Let g = -7 - -6.2. Let u = g - -1.8. Let z = -11.6 - -12. Which is the closest to u? (a) -3 (b) z (c) -5 b Let q = 155 - 154.9. Which is the nearest to q? (a) -0.1 (b) -7 (c) -0.5 a Let j = 88 - 438/5. Let d = 29 - 30.9. Let o = d + 1.5. Which is the nearest to 1/4? (a) j (b) o (c) -2 a Let v = -0.15 - 2.85. Let w = -290 + 291. Which is the closest to -3? (a) w (b) v (c) 0.08 b Let o = 35 - 18. Let j = o - 16.4. Let h = 0.8 - j. Which is the nearest to 0.1? (a) -0.5 (b) h (c) 5 b Let f = -26.4 - -5.4. Let n = f - -25. What is the closest to -2/5 in 0.5, -2/9, n? -2/9 Let i be ((-28)/8)/(-7) - (-835)/(-15). Let y = -55 - i. Which is the nearest to -0.3? (a) 2/5 (b) 0.1 (c) y b Let n(s) = -s - 20. Let q be n(-21). What is the nearest to 0.1 in -2/15, q, -5? -2/15 Let l = -3584/19591 - -2/1781. Which is the closest to 3? (a) l (b) 16 (c) -1 (d) 4 d Let o = -1163 - -1168. What is the nearest to 11 in o, 4, -3, -4? o Let a be 20/(-4) - 7594/(-1358). Let p = a - 2/97. What is the closest to -1/3 in p, -4, -3? p Let o = 1.4 + -0.4. Let x be ((-20)/4 - -3) + 2. Suppose -j = -3*p + 2*p, -3*p + 4*j - 5 = x. Which is the nearest to -2/7? (a) o (b) p (c) 3/2 a Let d(s) = -s**3 - 4*s**2 + 9*s - 14. Let f be d(-6). What is the nearest to 1/2 in 0.5, f, -1.7? 0.5 Let c = 108 + -102. Let p be 4/(-2)*10/(c - 1). Suppose 4*v + 1 - 5 = 0. What is the nearest to 0.2 in 1/2, v, p? 1/2 Let u = -2/947 + 1904/4735. Which is the closest to -1/4? (a) u (b) -2/11 (c) -1/6 (d) -5 b Suppose 2 = -6*g + 8. Which is the nearest to 0.01? (a) -5 (b) -0.1 (c) g b Let j be 4/(-80)*-4 - 1/5. Let r be (j*1/2)/(-2 - -3). Which is the nearest to r? (a) -3 (b) 2 (c) 5 b Let n = 0.19 - 1.09. Let k = -0.5 - n. Let l be (-3 - -3)*1/2. What is the closest to l in k, 0.3, -3/8? 0.3 Let u(s) = -3*s**2 - 2*s. Let k be u(7). Let p be 18/(-207) - 60/k. Let x = 478/3 - 161. What is the closest to p in 1/2, x, -1? 1/2 Let j = -0.3 + 0.3. Let q = 0.5474 - -0.0526. Which is the closest to j? (a) 0.4 (b) q (c) -2/11 c Let j = -6 + 41. Let d = 34 - j. Which is the closest to -0.3? (a) -5 (b) d (c) 1 b Suppose 10*n + 20 = 6*n. Let i = -5 + 5.5. What is the nearest to -0.1 in n, 5, i? i Let q = -14.03 + 14. Let j = q + -0.17. Let m be -1 - (2 + (-123)/39). Which is the closest to 0.1? (a) m (b) j (c) 0 a Suppose 17 = 3*d + 4*p, 2*d - p + 4 = 4*p. Let o = 2.5 - 3. Let j be (-2 - -2) + (-54)/36. Which is the closest to d? (a) o (b) 5 (c) j b Let u = 372 + -370. What is the nearest to u in -2/7, -1, -0.21? -0.21 Let t = -0.36 + 0.08. Let v = t + 0.08. Let s be ((-6)/9 - 0)*(-3)/(-11). Which is the closest to s? (a) -5 (b) v (c) 4 b Let l = 0 + -1. Let x be (-99)/1134*-7*24/66. Which is the closest to l? (a) 15 (b) 0 (c) x b Let n = 186/7 + -3148/119. Let l = 0.4 - -0.1. What is the nearest to -2/3 in l, n, -5? n Let x = -133/254 - -3/127. What is the closest to x in 1, -5/6, -3, -4? -5/6 Let x = -390 - -389.9. What is the nearest to x in 1/2, 99, 2/3? 1/2 Let i = 6 - 6.4. Let f = 205 + -1027/5. What is the closest to f in 0.2, i, -2? i Let y = 266 + -265. What is the closest to 10 in y, -0.1, 3? 3 Let v be -1*-3*(3 + 6). Let j be (-1449)/v*3/(-4). Let m = 40 - j. Which is the closest to m? (a) -2 (b) -5 (c) -1/7 c Let s = -0.5 + 1. Let k = 126 - 404/3. Let z = 28/3 + k. Which is the nearest to z? (a) -0.5 (b) s (c) -2 b Let u = -5 + 7. Let o = -16 + 8. Let t(q) = -q**2 - 8*q. Let p be t(o). Which is the nearest to p? (a) u (b) -3 (c) 0.1 c Let u be ((-12)/18 + 1)*132. Let z be (2 - 5 - -2) + u/(-11). Which is the closest to z? (a) 0 (b) -4/3 (c) -1/3 b Let t be (3/(-14))/(3/(-6)). What is the closest to t in 2, -2/5, -0.1, -3? -0.1 Let z = 34 + -30. Suppose -z*g - 2 = -14. Which is the nearest to 4? (a) -4 (b) g (c) 2 b Let f = -1/2 + 13/10. Which is the closest to 0? (a) 0.03 (b) f (c) 4 a Suppose x = 4*h - 16, -3*x = 3*h - 2*h - 17. Let s be ((x - 8) + 0 + 4)*1. What is the closest to 1 in 5, s, 1? 1 Let g = -0.4218 + 0.0218. What is the nearest to 0.2 in -1/5, g, 10? -1/5 Let y = 29 + -19. Let g = 9.5 - y. What is the nearest to g in -3, -2/11, -0.4? -0.4 Let t = 30.77 - 15.8. Let n = 0.23 + t. Let s = 15 - n. Which is the nearest to -2/3? (a) s (b) -4 (c) -2 a Suppose 2*n - 15 = -3*n. Let m = 55/39 - 14/13. Which is the closest to n? (a) -1 (b) -3 (c) m c Let w = 5.35 + -1.35. What is the closest to -0.1 in 160, -0.3, w? -0.3 Let i = -14.873 - 0.127. What is the nearest to 0 in 5, i, -0.4? -0.4 Let u = -4.1 - -6.1. Let v = -2.4 - -5.4. Which is the nearest to 1/4? (a) 0.3 (b) u (c) v a Let l be ((-14)/(-13))/(126/819). Let y = 2/295 - -576/2065. Which is the closest to y? (a) -1/6 (b) -4 (c) l a Let a = -15 + 4. Let q = 101 - 89.9. Let m = q + a. What is the nearest to m in -1, -0.5, 0.5? 0.5 Let o be (-96)/16 + 6*10/5. Which is the ne
{ "pile_set_name": "DM Mathematics" }
-5*o, 4*o - r = 0 for a. 2 Suppose 81 = -4*v - 27. Suppose -2*s + 2*x = 48, 3*s + 42 + 30 = -5*x. Let j = s - v. Solve j*f + 3 = -4*b, 4*f = -3*b + 4 - 1 for b. -3 Suppose -7*n + 4*n = 0. Suppose 0 = -2*d - n*d + 4. Solve -3*q = g + 14, -d*g - 21 = 5*q + 2 for g. 1 Suppose 2*g + 35 = 7*g. Suppose -j + 7*j + 0*j = 0. Solve j = -h - 4*n, n + 6 + g = 3*h for h. 4 Suppose -285*r + 273*r + 132 = 0. Solve -5*g + 5*w = 40, 8*g - 5*w + 8 = r*g for g. -4 Let f(d) = d**2 - 1 - 6 - 5*d + 0. Let n be f(5). Let p = n - -7. Solve -5*c - u = 28, 2*u = -p*u - 6 for c. -5 Let u = -1 + -13. Let c be (-54)/u + 7/49. Let h be (c + -1)*5/3. Solve -3*s - 9 = -2*f, 3*s - 6 = 5*s + h*f for s. -3 Let c be 9/4*16/3. Suppose 0 = 2*s + c - 18. Solve -5*k - 5*y = -5, s*k + 2*y + 3*y + 3 = 0 for k. 4 Suppose -96 = -7*i + 793. Suppose 0 = -g - g + 58. Suppose -3*s - 86 = -5*x, 5*x - i + g = -s. Solve x = 2*y - 3*c, -7*y + 4*c = -2*y - 30 for y. 2 Suppose -37*j + 227 + 106 = 0. Solve -p = 4*c + j, -2*c = -8*p + 12*p + 8 for p. -1 Suppose -3*j + 4*v = -27, 0*j = -4*j - 4*v + 8. Solve j*d - 2*h - 5 = 0, -2*d + 3*h + 12 = d for d. -1 Suppose 918 = -19*g + 73*g. Solve 0 = -v - 4*t + g + 1, 0 = 3*v + 5*t - 26 for v. 2 Let l(x) = 0*x - 12*x + 11 + 5 - x**2. Let b be l(-13). Let w(d) = -d**3 + 6*d**2 - 3*d - 3. Let n be w(5). Solve -5*u - 5 = 4*o + b, -n = u - o for u. -4 Suppose -98 - 231 = 47*h. Let c(u) = -3 + 3*u + 13 - 2*u. Let o be c(h). Solve a + o = 2*m, m - 4*a = 3*m + 22 for m. -1 Let l be 5/(5/(-4)) - -24. Solve 5*s - 5 = 0, 3*s - l + 2 = -3*q for q. 5 Let c be (-2)/(-4) + (-1)/2. Suppose c = -17*y + 21*y - 108. Solve 3*f = -4*b + y, 20 + 6 = 2*b + 4*f for b. 3 Suppose 0 = 3*o - 3*a - 0*a, -2*o - a = -15. Let h be 2*-11*(15/(-6) - -1). Solve 3*n - 17 = c, n - h = o*c - n for c. -5 Let g(k) = 5*k**2 + 44*k - 6. Let y be g(-9). Solve m + 0 = -5*s - 5, -4*m - 3*s - y = 0 for m. 0 Let o = -930 + 933. Solve q + 3 = o*z, 1 + 0 = z for q. 0 Let a be (-105)/(-20) - 3/12. Suppose 21 = a*s + 2*u, 0 = u - 3. Let r = 7 + -4. Solve -3*i + 2*i = o - r, 0 = s*i - 4*o + 12 for i. 0 Let i be ((-28)/49)/(2/(-14)). Suppose -18 = 3*u - 2*y, -y = -u + i*y - 19. Let h be u*(-2 + 6/4). Solve -24 = -4*p - 3*o, -h*o + 16 = 2*o for p. 3 Let a(b) = b**2 + 2*b + 3. Let c be a(-3). Let l be (c/(-4))/((-21)/238). Solve 0 = -4*u + 5*h + l, -5*u = -h + 4*h - 12 for u. 3 Let k(g) = 6*g + 288*g**2 - g**3 - 2 + 0*g - 284*g**2. Let b be k(5). Solve -20 = -3*z - 5*q, 5*z + q = -b*q + 16 for z. 0 Suppose 10*m - 3*d = 13*m - 6, 0 = -5*m - d + 6. Solve 4*j + 5*u - 17 = j, 5*j + u = -m for j. -1 Let n(h) = -h - 6. Let c = 15 - 24. Let m be n(c). Solve m*p + 17 = 5*o, -p + 3*p + 4*o - 18 = 0 for p. 1 Suppose -3*q - 16 = -3*r - 5*q, 4*q = -3*r + 14. Suppose -3*b - 9 = -r*b. Solve 0 = b*s, 0 = -0*z + 5*z + 5*s - 20 for z. 4 Suppose -7*a + 93 = 30. Let w(z) = z**3 - 4*z**2 + 4*z - 5. Let p be w(4). Let k = p - a. Solve k*q - 4 = n, -2*q - 13 = -5*q - 2*n for q. 3 Let a = -3 + 5. Suppose -2*k + 8 = -h, -k + 3 = -2*h + a. Solve 0 = 2*l + h*l - 2*n + 16, 0 = 2*n for l. -4 Let i(d) = 2*d + 2. Let r be i(-4). Let b = 11 + r. Suppose -4*t + 104 = 2*j, -b*t - 5*j + 132 = -2*j. Solve -c - 11 = -4*m + 12, 3*c + t = 3*m for c. -3 Let h(d) = d**2 - 20*d + 51. Let g be h(17). Suppose 0 = -5*p - 10, g = 4*u + 3*p - 2*p - 62. Solve -4*k + u = -4*b, -6*k = -k - b - 16 for k. 3 Let h = 152 + -147. Solve -3 = 3*y, -3 = -2*a + h*y - 2 for a. -2 Suppose 4*o - 7 = 3*o. Suppose -4*j + o*j = 0. Solve -4*b + 2*y - 6 = j, 0*b + 5*y = -b - 18 for b. -3 Suppose 6*v - 343 = -331. Solve -v*x - 4*b + 0 = -6, -5*x + b - 29 = 0 for x. -5 Suppose 2*l = 5*n, -26*n + 31 = -23*n + 5*l. Let c be 2/(-8) - 1/(-4). Solve -i = 2*h + n*i - 22, c = -3*h + 2*i + 7 for h. 5 Suppose -v - 57 = -62. Solve 2*y - 20 = -y + l, v = -l for y. 5 Let t(y) = -3*y + 70. Suppose 88 = -12*s + 16*s. Let n be t(s). Solve -2*j + 0 - 8 = 5*a, -3*a + j = -n for a. 0 Let n(w) = -w**2 + 8*w - 10. Let o be n(6). Suppose 3*i - 5*p - 25 = 0, 0 = p + o. Solve -2*q + 0*y + 3 = 3*y, -q + i = -2*y for q. 3 Let h = 92 - 87. Let r be (2/5)/(10/25). Let a be -1 + (21 - (r - 1)). Solve -4*b - 4*t + 8 = 0, -h*b + t + a + 8 = 0 for b. 5 Suppose 0*y = 3*y + 135. Let t = -40 - y. Solve 0 = -u + 2*v - t, 0 = 5*u + 2*v + 2*v + 25 for u. -5 Suppose 224 = 41*b + 60. Solve 0 = 2*k - 4*f, -b*f + 7 + 21 = 5*k for k. 4 Let r(i) be the first derivative of i**2/2 - 8*i + 7. Let n be r(8). Let w(j) = j**2 + 10*j + 18. Let c be w(-8). Solve 0 = -n*u + c*u - 3*q - 11, 5 = -q for u. -2 Suppose 13*z = 10*z + 9. Suppose z*g - 4*g = 3*j + 9, 0 = -4*g - j + 8. Solve -2*k = g*u + 2*u + 35, 10 = -2*k for u. -5 Let c(p) = -2*p**3 + 27*p**2 + 12*p + 30. Let s be c(14). Let t(q) = q**2 - 2*q - 5. Let d be t(4). Solve -u = d*j - s*j - 2, 4*j = -u - 1 for j. -1 Let f(g) = 2*g**2. Let u(t) = -t - 10. Let o be u(-4). Let r = 5 + o. Let x be f(r). Solve -a = 5*i - x, 2*i + 3 = -3*a + 9 for i. 0 Suppose -2*k - 13 = -23. Solve k*o - j - 1 = 5, -o + 2*j = 6 for o. 2 Let d(q) = 3*q - 7. Let r be d(3). Suppose -2*t + t = b + 19, 0 = b + r*t + 15. Let g = b - -28. Solve 5*m + 4*s = -13, -g*m = -m - 5*s + 35 for m. -5 Suppose -1308*a = -1303*a - 35. Suppose 5*o = 5*r, 0 = -r - 5*o + 18 - 0. Solve r*i - a = -2*p, -5*i = -0*p + p for i. -1 Suppose 0 = -q - 0*q + 23. Suppose j = -18 + q. Let m = -9 + 23. Solve 1 = 3*z + 5*v - m, -j*v + 15 = -z for z. 0 Let p be 3/5*4*(-105)/(-28). Let x be ((-42)/p)/(-2) - (-1)/(-3). Solve 5*z = x*f + 20, 7 = -5*f - 5*z - 8 for f. -5 Let s be ((-15)/(-6))/5 - 39/6. Let o be 110/44*s/(-5). Solve -2*a + 0*u + o*u = 8, 2*a - 4 = -3*u for a. -1 Suppose 0 = -5*f + 905 - 115. Suppose 19 - 1 = m - 3*c, -5*m = 2*c - f. Solve 23 = 2*n - 3*x, -4*n + m = -4*x - 6 for n. 4 Let w(j) = -2*j - 7. Suppose -17 = -3*o + 25. Let t be w(o). Let p be (15/t)/((-2)/14). Solve 0 = 2*g - 2*k - 14, -5*g = p*k + 4 + 1 for g. 2 Suppose -5*d = -4*d - 95. Let h = d + -66. Solve -h = -z - 5*b, -4*z + 0*b + 11 = -b for z. 4 Let y = 0 + 6. Suppose y*c - 20 + 2 = 0. Suppose 1 + 9 = 5*g. Solve -w = -4*h + c + 10, 19 = g*h - 3*w for h. 2 Let k be 1498/5 + 6/(-10). Let y be (-6)/10 - k/(-65). Solve -3*p + 0*a - 6 = -3*a, -y*a + 12 = 0 for p. 1 Suppose -7*p = -1 - 13. Suppose -5*d - 5 = 10, 0 = p*o + d - 1. Solve o*s - 4*s = -6, 25 = 5*t + 5*s for t. 2 Let j = 195 - 192. Solve -j*w - 5*k + 5 = 0, 0 = -w + 4*k - 4 + 17 for w. 5 Suppose -4*l + 5*s + 79 = 0, -6*s + s + 51 = l. Suppose 0 = -r - 22 + l. Solve 3*a - 3*q - 2*q - r = 0, -3*q - 10 = 2*a for a. -2 Let v(j) = -j**3 + 12*j**2 + 12*j + 13. Let c be v(13). Suppose 5*s + 4*t - 40 = 0, 0 = 2*s - 2*t + 2 - c. Solve -z = 2*f + s*z + 35, f + 2*z = -15 for f. -5 Suppose 0 = -17*j - 43 + 366. Solve -5*r = -y + 21, 7*r - 2*r = -y - j for y. 1 Suppose -18*a = -7*a - 55. Solve -4 = -j - w, j + j = -w + a for j. 1 Suppose a - 8 = -3*a. Suppose 0 = a*q + 4*d - 4, 3*d = 5*q + d - 10. Solve 0 = 4*m + 2*l + 3*l - 17, 0 = -q*m - 3*l + 11 for m. -2 Suppose -2*r - 2 = -3*r. Let h be (44/(-16))/(r/(-56)). Suppose y = t - 6*t + h, -3*y = 9. Solve 3*x - 12 = 5*n, 5*x - x - t = -2*n for x. 4 Let y = 412 + -405. Solve y*h - 4*h + 5 = 5*b, 5*b = -2*h + 5 for b. 1 Suppose 4*x = t + 18, 0 = 4*x - 8 - 12. Let c = t + -4. Let q = c - -2. Solve 2*g - d = -q + 5, 15 = 3*d for g. 5 Suppose 18*x = 60 - 24. Suppose -3*f + 7 + 5 = 0. Solve 3*r = -3*s, -f = -0*s + x*s + r for s. -4 Suppose 5*m = 11*m - 24. Solve 5*h = 4*q - 2, q = m*h - 3*q for h. -2 Suppose -5*d = -17*d + 60. Suppose -5*x = 0, 0 = -d*a - 0*x + x + 25. Solve 5*u + a*p - 5 = 0, -10 = -u - 2*u + 4*p for u. 2 Let f = 0 + 2. Suppose v = -f*v + 6. Suppose -10*w + 26 = -4. Solve -w*d + 4*d = 3*n - 14, -2*d = 4*n - v for n. 3 Let b = 402 + -383. Solve -8*g - 3*d = -3*g - 31, 5*g = 3*d + b for g. 5 Let r be -6*-4*(-5)/(-120)*3. Solve 2*b + 1 = -r*x, 0*x + 4*b + 8 = -4*x for x. 3 Suppose 2*a - 27 = -x + 2, -3*x + 57 = 4*a. Solve 2*v - a = 5*m, -v + 2*v - m = 0 for v. -5 Let j(k) = -2*k**3 + 2. Let u be j(1). Solve -3*y - 5*c + 8 = -u*y, -24 = 4*y - 2*c for y. -4 Let s(x) = x**3 + 3*x**2 - 2. Let u be s(-4). Let w be 48/216 - (1 + 14/u). Solve w = 3*m + 6, 4*l - m = 2*m - 14 for l. -5 Suppose -221 = 29*h - 42*h. Solve 6*q - q - h = -m, 5*q - 21 = -3*m f
{ "pile_set_name": "DM Mathematics" }
t is the greatest common divisor of 144 and w? 9 Let n be (14/7 + -5)*1 + 37. What is the greatest common factor of n and 187? 17 Suppose 3*a - 6 = -0*t + 4*t, -9 = 3*t. Let b be a - (-6 - 2/1). Suppose 54 = -2*r + 3*r. What is the highest common factor of r and b? 6 Suppose 0 = -2*d - 2*d + 8. Suppose -662 = -0*u - 4*u - 2*n, -d*u + 4*n = -356. Suppose -3*a + a = -u. What is the highest common divisor of 28 and a? 28 Let d(x) = 70*x**3 - 3*x**2 - 10*x + 42. Let q be d(3). Calculate the greatest common divisor of q and 25. 25 Suppose -7 = -3*p + 3*a + 59, -76 = -4*p - 2*a. What is the highest common divisor of 8 and p? 4 Suppose -35 + 29 = -2*c. Suppose -c*l + 90 + 5 = 5*z, -4*l + 115 = -5*z. Calculate the highest common divisor of 40 and l. 10 Let d = 72 + -70. Suppose 273 = 5*z - d*z - 3*a, 365 = 4*z - 3*a. Calculate the highest common divisor of 23 and z. 23 Suppose -4*c + 3*c + 6 = 0. Let z(o) = 6*o + 11. Let q be z(4). Suppose -3*h + q = n, -2 = -2*n - 4. Calculate the highest common divisor of h and c. 6 Let l = -1695 - -1729. What is the greatest common factor of 68 and l? 34 Suppose -5*r = 2*z - 7*z + 2060, -4*r + 1608 = 4*z. What is the highest common factor of 37 and z? 37 Let y = -39 - -66. Let m = y + 7. Let l(c) = 4*c**2 - 10*c + 1. Let q be l(5). Calculate the highest common factor of q and m. 17 Let a = 431 + -365. What is the highest common factor of 12 and a? 6 Let p(r) = r**2 + 19*r - 71. Let x be p(13). Calculate the highest common divisor of 138 and x. 69 Let f = 11 + -9. Suppose 0 = k - 6 + f. Let m be (-2)/(-4) + 94/k. What is the highest common factor of m and 3? 3 Let y(v) = -18*v - 165. Let r be y(-11). Calculate the greatest common divisor of r and 27. 3 Let r = -87 + 84. Let b be (4 - 7) + 10 - r. Calculate the highest common factor of b and 100. 10 Suppose 13*l - 333 = 4*l. Calculate the greatest common divisor of l and 407. 37 Let r(o) be the second derivative of -2/3*o**4 - 1/20*o**5 - 4/3*o**3 + 7/2*o**2 + 0 + o. Let h be r(-7). Calculate the greatest common divisor of 154 and h. 14 Let f be 8 + (3 - 2*-98). Calculate the greatest common factor of 23 and f. 23 Let x = 25 + -8. Suppose 3*g = -900 + 72. Let h = -157 - g. Calculate the highest common factor of h and x. 17 Suppose -1192 + 15 = 11*o. Let i = o + 112. Calculate the highest common factor of 115 and i. 5 Let i = 42 + -83. Let b = 29 + i. Let y = -6 - b. Calculate the greatest common divisor of y and 30. 6 Let j = 101 - 56. Let m = 75 - j. Calculate the greatest common divisor of m and 12. 6 Let k(i) = 2*i**3 - 6*i**2 + 15*i - 31. Let n be k(5). What is the highest common divisor of 156 and n? 12 Suppose -5*n + 40 = -5*j, -5*j + 18 = 5*n - 12. Suppose -155*s - n = -162*s. What is the greatest common divisor of 4 and s? 1 Suppose -483 = -55*f + 48*f. What is the greatest common factor of 69 and f? 69 Let b(a) = -a**2 - 33*a + 19. Let g be b(-31). What is the greatest common factor of g and 18? 9 Suppose -5*a - 5*k + 225 = 0, 4*a - 54 = 4*k + 86. What is the greatest common factor of 1000 and a? 40 Let g(n) = -n**3 + n**2 + 4*n + 12. Let o be g(-3). What is the highest common factor of 9 and o? 9 Let g = 34 - 64. Let l = g - -6. Let f be (21/(-12) + -2)*l. Calculate the highest common factor of f and 18. 18 Suppose -2*l + 153 + 13 = 0. Suppose 23 = h + 5*n, 0 = 5*h + 3*n - 32 - l. Let s be 115/(-15)*(1 + -7). Calculate the highest common factor of s and h. 23 Suppose 0 = -4*j - j + 250. Let n = j + -47. Calculate the greatest common factor of 15 and n. 3 Let i be 302*12/104 - (-34)/221. What is the highest common divisor of 15 and i? 5 Let a be -5 - (-54)/((-48)/(-8)). Calculate the highest common factor of a and 332. 4 Suppose 0 = -5*d + 363 + 62. Let x(j) = -3*j + 8. Let r be 15/(-30) + 10/(-4). Let l be x(r). What is the greatest common divisor of d and l? 17 Let h be (-4 + 2)*(-2)/(-4). Let o be h*3*18/27. Let r be (-4)/o - (4 - 117). Calculate the greatest common factor of r and 46. 23 Suppose -3*y = 2*y - 60. Suppose y = -3*g + g. Let b be (0 - (-15)/(-2))*g. What is the highest common factor of 30 and b? 15 Suppose -4*p - 6 + 2 = 0. Let i(o) = -12 - 16*o + 1 + 11. Let n be i(p). Calculate the highest common divisor of 4 and n. 4 Let q(v) = 14*v**3 + 2*v**2 + 5*v + 2. Let j be q(-2). Let n be -7*(-3)/(-3) + -1. Let x be (-42)/j + (-61)/n. Calculate the highest common divisor of 88 and x. 8 Let z(s) = s**2 + s**3 + 0*s**2 - 2 + 3 - 2. Let a be z(1). Let x(i) = -i - 3. Let l be x(-14). What is the greatest common factor of l and a? 1 Let s = -119 + 119. Suppose 5*p = 4*f + 2, s*p - 8 = -p - 3*f. Calculate the greatest common factor of 1 and p. 1 Let j(z) = z**3 + 2*z**2 - z + 13. Let f be j(0). Suppose -3*r + 52 = -65. What is the highest common divisor of f and r? 13 Suppose 5*u = 3*g - 4*g + 49, 267 = 5*g + 3*u. Suppose 8*z + 14 = g. What is the greatest common divisor of 80 and z? 5 Suppose 0*f - 5*a + 160 = 3*f, -5*a = f - 50. Suppose 2*z = -3*i - 0*z + 37, -5*i + 3*z + 49 = 0. What is the highest common factor of f and i? 11 Let c(s) = 2*s - 6. Let x be c(13). Suppose x = 2*k - k + 3*a, 10 = 4*k - 2*a. Let v = 511 - 491. Calculate the highest common divisor of k and v. 5 Let y be 10/20 + (-358)/(-4). Suppose y = 3*r - 99. Let h = 22 - 13. What is the greatest common factor of r and h? 9 Suppose -x - 2*f = -7, 2*x = -2*f + 4*f - 4. Suppose -1 - x = -u. Suppose -3*g + 42 = -u*g. Calculate the greatest common factor of 6 and g. 6 Let t(s) = 4*s**2 - 36*s + 84. Let j be t(8). Calculate the greatest common factor of j and 1976. 52 Suppose -u + 0*u - 2*v = -88, 0 = -4*u + 5*v + 287. Let m be (-13)/(((-4)/(-8))/(-1)). Calculate the greatest common factor of u and m. 26 Let a = -164 - -309. Suppose j + 3*b = 163, a = 2*j - 2*b - 213. What is the greatest common divisor of j and 35? 35 Let p be ((-16)/3)/(2/(-15)). Suppose 230 = k + p. Suppose 2*x + 38 = k. What is the greatest common factor of 19 and x? 19 Let a = 299 + -221. What is the greatest common factor of 26 and a? 26 Let l(y) = y**2 - 2*y - 1. Let p be l(2). Let s = p - -50. Let j = -34 + s. Calculate the highest common divisor of 6 and j. 3 Let c(m) = 17*m**2 + 16*m + 61. Let i be c(-5). What is the highest common factor of 21 and i? 7 Let p be 2/(-17) - -1*(-3090)/(-255). Calculate the greatest common divisor of 356 and p. 4 Let a = -597 + 632. Suppose -4*s + 1 + 19 = 0. Suppose s = z - 0*z. What is the highest common divisor of z and a? 5 Suppose -5*d - 2*c + c + 78 = 0, 3*d + 2*c = 44. What is the greatest common factor of d and 128? 16 Suppose 24734 = 88*d - 36602. What is the greatest common factor of 82 and d? 41 Let m(s) = -15*s - 75. Let y be m(-6). Suppose -7*b + 3*b = -540. Calculate the highest common factor of y and b. 15 Let u(b) = -b**3 + 5*b**2 + b - 1. Let g be u(5). Suppose 2*x + m = 5, 4*x = -m + g*m + 5. Let j = x + 4. Calculate the greatest common divisor of j and 48. 6 Suppose 0 = n + n - 4. Let k(l) = 2*l - 8. Let y be k(6). Suppose 0 = -3*q - 3, y*r - 8*r + 34 = -2*q. Calculate the highest common factor of n and r. 2 Let d = -277 + 323. Calculate the highest common divisor of d and 115. 23 Suppose -2*b + 280 = 3*b. Suppose w + 3 = -2*y - 3*y, -w = -y - 9. Calculate the greatest common factor of b and w. 7 Suppose -24*w + 3*i + 48 = -21*w, 0 = -3*i - 9. Suppose -5*o + 19 + 46 = 0. Calculate the greatest common divisor of o and w. 13 Let s = -14 + 34. Suppose -143*o + 731 + 3154 = 116*o. What is the greatest common divisor of s and o? 5 Let w be 2*(-2 + 1) + 3. Let b be 2/4*-2 + w. Let f(q) = -q**2 - q + 72. Let j be f(b). Calculate the highest common factor of j and 8. 8 Suppose -12*z + 30 = -9*z. Let i(y) = y**2 + 2*y + 2. Let g be i(-4). What is the greatest common factor of z and g? 10 Let l(y) = 8*y + 2. Let p be l(8). Let k = 40 + -34. What is the greatest common divisor of k and p? 6 Suppose 2*y = 19 + 93. Let b = -2 - -2. Let i = b - -7. Calculate the greatest common divisor of i and y. 7 Suppose i + 6 = 4*i. Suppose -3*z = i*z - 5*y - 155, -z + 29 = -3*y. What is the greatest common divisor of z and 2? 2 Let o be 0/8*1/(-2). Let g be (-54 + o)*10/(-20). Calculate the highest common factor of g and 18. 9 Suppose 3*x - 5*m = 95 + 8, 2*m + 62 = 2*x. Let a = -86 + 1
{ "pile_set_name": "DM Mathematics" }
0*f**2 + 5*f - 2*t**2 wrt t. -108*f**2*t - f**2 - 4*t What is the second derivative of -4*a*k**5 + 2*a*k**2 - 5*a*k + k**2 + 10*k wrt k? -80*a*k**3 + 4*a + 2 Find the second derivative of -1443*o**4 - 1031*o wrt o. -17316*o**2 What is the first derivative of -6174*u - 7532 wrt u? -6174 Find the third derivative of 3*j**6*u**2 + 964*j**6*u - 2*j**2*u**2 + 2019*u**2 wrt j. 360*j**3*u**2 + 115680*j**3*u What is the third derivative of -a**3*k**3 + 147*a**3*k**2 + a**3 + 3*a**2*k**2 - 38*a*k**3 + 3*k**2 + k wrt a? -6*k**3 + 882*k**2 + 6 What is the second derivative of 122*d*f**4 - d*f - 22*d - f**4 - 2*f wrt f? 1464*d*f**2 - 12*f**2 Find the third derivative of 3417*a**4 - 4496*a**2. 82008*a What is the second derivative of -136*b**3*g**3 + b**3*g + b**3*v - 2*b*g**2*v - 85*b*g + g**4 wrt g? -816*b**3*g - 4*b*v + 12*g**2 What is the first derivative of -2*i*p**2*q - 22*i*p*q**2 + 228*p**2*q**2 - p**2*q wrt i? -2*p**2*q - 22*p*q**2 What is the second derivative of -534*p**2*v**3 - 4*p**2*v - 2*p**2 - 3*p*v**3 + 26*v - 1 wrt v? -3204*p**2*v - 18*p*v What is the third derivative of -48*l**4 - 16*l**2 + 1? -1152*l What is the third derivative of -702*b**6 - 783*b**2? -84240*b**3 Find the third derivative of -115*m**5 - 2*m**4 - 2*m**3 - 5359*m**2. -6900*m**2 - 48*m - 12 What is the third derivative of -6*b**4*q**3 + 119*b**4 + 64*b**2 + 8*b*q**2 - q**3 wrt b? -144*b*q**3 + 2856*b What is the third derivative of -156*v**5 + v**2 - 13*v? -9360*v**2 Find the third derivative of -13288*d**3 + 677*d**2 - 5 wrt d. -79728 Find the third derivative of -13*c**4*y**2 + 4*c**4 + 2*c**3 - 277*c**2 + y**2 wrt c. -312*c*y**2 + 96*c + 12 What is the third derivative of 190*c**3 + 142*c**2 wrt c? 1140 What is the third derivative of 23*n**3 - 57*n**2 - 2? 138 Find the third derivative of 645*s**5*t - 247*s**2 + t wrt s. 38700*s**2*t What is the second derivative of -656*h**4 - 766*h? -7872*h**2 Differentiate -432*m + 950. -432 Find the second derivative of -2*m**3 + 61*m**2 - 198*m wrt m. -12*m + 122 What is the third derivative of -7*b**2*q + 30*b**2*v**3 + 2*b**2*v + b*q*v**3 + 2*b*q*v - 2*b*v**3 + v**2 wrt v? 180*b**2 + 6*b*q - 12*b Find the first derivative of 13*f**2*i**2*q - f**2*i - 2*f**2*q + 119*f*q - f - 7*i**2*q wrt i. 26*f**2*i*q - f**2 - 14*i*q What is the third derivative of -22*c**6*i + 2*c**5*i - 2*c**2*i + 2*c*i - 20*c wrt c? -2640*c**3*i + 120*c**2*i What is the third derivative of k**3*w**4 - 15*k**3*w**2 - 507*k*w + 1624*w**5 wrt w? 24*k**3*w + 97440*w**2 What is the second derivative of -5643*h**2 - h - 2230? -11286 Find the third derivative of a**3*i**2 - 180*a**3*i - 7*a**2*i**2 + a**2 - 3*a*i**2 wrt a. 6*i**2 - 1080*i What is the first derivative of -40*a**4 - 27*a - 420? -160*a**3 - 27 What is the first derivative of 118*a**3*l**2 + 480*a**3 + l**3 - 4 wrt l? 236*a**3*l + 3*l**2 Find the third derivative of 127*b**3*i*s**2 - 5*b**3*j*s**2 + 42*b**2*j*s**2 - 2*b**2*j*s - 8*b*i*j*s**2 + 2*b*j*s**2 wrt b. 762*i*s**2 - 30*j*s**2 What is the third derivative of -124*f**4 + 2*f**2 + 96*f? -2976*f Differentiate -72*g*h**4*p**2 - 220*g + 59*h**2*p**2 + 20*p**2 + 2 wrt h. -288*g*h**3*p**2 + 118*h*p**2 Find the third derivative of -2*j**3*m**3*s + 8*j**3*m**3 + j**3*m**2 + 5*j**3 - 141*j*m**3 + 24*m**2*s wrt m. -12*j**3*s + 48*j**3 - 846*j What is the derivative of -30*q**4 - 107? -120*q**3 What is the third derivative of -729*i**3*p**3 - 2*i**2*p**3 - i**2*p - 50*p**3 wrt i? -4374*p**3 Find the third derivative of 3*u**5 - 123*u**4 + 143*u**2 wrt u. 180*u**2 - 2952*u Find the second derivative of -31*a*g**2 - a*g - 6*g wrt g. -62*a Find the first derivative of -11*g**3*n + 87*g**3*r - 3*g**3 - g**2*n*r - g wrt n. -11*g**3 - g**2*r What is the second derivative of 2532*y**2 - 2233*y + 1? 5064 What is the derivative of 4*h*p**2*w**3 + 195*h*p**2*w**2 + 2*p**2*w - 25*p**2 - 22*p*w**3 wrt h? 4*p**2*w**3 + 195*p**2*w**2 Find the second derivative of u**5 + 1868*u**4 + 1523*u wrt u. 20*u**3 + 22416*u**2 Find the third derivative of 75*p**5 + 12*p**2 + p. 4500*p**2 Find the third derivative of -18522*s**2*t**3 + 83*s**2*t**2 + s**2 - 8 wrt t. -111132*s**2 What is the second derivative of 10*d**3*n**2 - 39*d**3*n - d**2 - 2*d*n + 11*n**2 wrt n? 20*d**3 + 22 What is the derivative of -2*g*o**2 + 42*g*o - o**2 + 61*o wrt g? -2*o**2 + 42*o Differentiate -163*g**2*i - g*i - 620*i + 1 wrt g. -326*g*i - i Find the third derivative of 295*n**3 - 195*n**2 wrt n. 1770 Find the second derivative of 1912*q**2 - 1369*q. 3824 Differentiate -9*i**3*w**2 - 17*i**3 - 12*w**4 wrt w. -18*i**3*w - 48*w**3 What is the third derivative of 5*c**3*z**2 - c**3*z + 26*c**2*z + c*z**2 wrt c? 30*z**2 - 6*z Find the first derivative of -3*o**4 + 32*o**2 + 45 wrt o. -12*o**3 + 64*o What is the second derivative of 12*a**3 + 16*a + 5? 72*a Differentiate h**2*n*v + 108*h**2*n + 5*h**2*v + 493*n*v with respect to h. 2*h*n*v + 216*h*n + 10*h*v Find the second derivative of 57*m**5 + 9*m - 4 wrt m. 1140*m**3 Find the third derivative of 41*v**2*w**3 + 144*v**2*w**2 - v*w**3 - w**4 wrt w. 246*v**2 - 6*v - 24*w Find the third derivative of 18*d**3*i**3*r**3 - 2*d**3*i**2*r**2 - 8*d**2*i**3*r + d*i**3 + 18*d*i*r + 271*i**3*r**3 - r**2 wrt r. 108*d**3*i**3 + 1626*i**3 Find the second derivative of -24*j**2*k**2*m**2 + j**2*k*m**2 + 21*j**2*k*m - 7*j*k**2*m + 5*m**2 wrt k. -48*j**2*m**2 - 14*j*m What is the third derivative of 34*m**5 + 6*m**4 + 238*m**2? 2040*m**2 + 144*m What is the first derivative of 1122*w**4 + 846? 4488*w**3 What is the first derivative of -224*t**3*z + 136*t**3 + 2 wrt z? -224*t**3 What is the second derivative of 2*i**4 - 192*i**2 - 62*i + 7 wrt i? 24*i**2 - 384 What is the derivative of 3*h*m - 5284*h - 2*m**3 - m**2 + 953*m wrt m? 3*h - 6*m**2 - 2*m + 953 What is the derivative of -a**3*u + 9*a**3 + 65*a*u + 1 wrt u? -a**3 + 65*a What is the third derivative of -2782*u**5 - 2*u**2 + 95*u - 22 wrt u? -166920*u**2 Find the second derivative of 2134*o**2*z**2 + 4*o*z**2 - 15*o*z + 8*z wrt o. 4268*z**2 Find the third derivative of -1599*n**4 - 2008*n**2. -38376*n Find the third derivative of 3*i**6*l + 196*i**4 - 17*i**2*l + 4*i - 2*l wrt i. 360*i**3*l + 4704*i Find the second derivative of 5*d**3*r*v**2 - 32*d**3*r + d**3 + 2*d**2*r*v**2 + d**2*r*v + 3*d**2*v**2 wrt v. 10*d**3*r + 4*d**2*r + 6*d**2 What is the second derivative of -51*d**5 + 5*d**2 + 85*d wrt d? -1020*d**3 + 10 What is the second derivative of 15524*g**5 - 2580*g? 310480*g**3 Find the second derivative of 1692*g**3*j**4 - 13*g**3*j + 49*g*j wrt j. 20304*g**3*j**2 Find the second derivative of 144*t**4 - 6*t**3 + 15*t + 25. 1728*t**2 - 36*t Differentiate o**3*q**2 + 3*o**3 + 69*o**2 - 452*o*q**2 with respect to q. 2*o**3*q - 904*o*q What is the third derivative of -1932*f**3 - 3*f**2 + 430*f? -11592 Differentiate 1192*n - 469 wrt n. 1192 Differentiate -11710*a*h**2 - 2*a*h + 9015*h**2 wrt a. -11710*h**2 - 2*h Differentiate 11*m*y + 2*m + 855*y wrt m. 11*y + 2 What is the third derivative of -3*l**4 + 92*l**3 + 252*l**2 + 1? -72*l + 552 What is the third derivative of 242*p**4 - p**2 - 159*p? 5808*p What is the third derivative of -3*u*w**4 + 51*u*w + w**4 - 4*w**3 + w**2 wrt w? -72*u*w + 24*w - 24 What is the third derivative of 4*b*h**3*i**2 - 397*b*h**2*i**3 - 2*b*h**2*i + b*i + 2*h**4*i**3 + 37*h**4 wrt h? 24*b*i**2 + 48*h*i**3 + 888*h Differentiate 2*v**3*x**2 - 132*v**2 + 246*x**2 with respect to v. 6*v**2*x**2 - 264*v What is the third derivative of 2*b**4*p - 6*b**3*h*p - 16*b**3*h + 5*b**2*h*p + 2*b**2*h - 2*b**2*p + b*h*p wrt b? 48*b*p - 36*h*p - 96*h Find the second derivative of q**4 - 32*q**3 - 34*q wrt q. 12*q**2 - 192*q Find the third derivative of d**2*f**3 + 2*d**2*f**2*k - 9*d**2*f*k + 2*d*f**3*k - 3*d*f**3 + 2*d*f*k wrt f. 6*d**2 + 12*d*k - 18*d Find the second derivative of l*m**4 + 73*l*m**3 - 5*l*m - 2*m + 2 wrt m. 12*l*m**2 + 438*l*m Differentiate 51*b**2*k*w - 2*b**2*w + b*k**3*w + 5*k**3 + 141*w with respect to b. 102*b*k*w - 4*b*w + k**3*w What is the derivative of 1664*x**4 + 2249 wrt x? 6656*x**3 Find the second derivative of 161*v**3 - 3*v + 90. 966*v What is the second derivative of -2*a**3*s**2*y + 3*a**3*s**2 + 14*a**3*s*y**2 - 2*a**2*y**2 - 44*a*s**2*y**2 + 6*a*s*y wrt s
{ "pile_set_name": "DM Mathematics" }
-1 = w*i - 4*s, -3*i + i + 4 = 2*s for i. 1 Suppose 22*o - 4 = 21*o. Suppose -5*q + 85 = -5*r, -o*q + 3*r = -2*q - 35. Solve -c - c = -4*f - q, 2*f + 3*c = -16 for f. -5 Let q = -63 + 64. Let r be ((-15)/12)/(3/(-12)). Let t be (r - 2) + (3 - q). Solve -3*n = k - 11, 0 = 5*n + t*k + 1 - 26 for n. 3 Let d be (-4)/(-5)*(-90)/(-4). Suppose -d = -4*y - k - k, 2*y = -2*k + 4. Let s = 8 + -5. Solve -3*t + 2*i + y = 0, -1 = -2*t - 2*i - s for t. 1 Let m(r) = r**3 - 8*r**2 + 10*r + 30. Let w be m(5). Solve w*g = 4*o + 4 + 7, g + 13 = -3*o for g. -1 Suppose -6*r + 8 = -2*r. Solve s = -5*z - 1 - 13, -10 = r*s + 4*z for s. 1 Suppose -3*k + 2 = 4*w + 1, -k = -w - 5. Let c(h) = 7*h - 5. Let d be c(k). Suppose r - d = -3*r. Solve -p - r*m - 13 = 4*p, 0 = -p + 4*m + 7 for p. -1 Let a(x) be the first derivative of 2*x**2 - x + 1. Let r be a(1). Let p be (0/(1 - -2))/((-4)/2). Solve -o = -r*i - 1, 4*o = -i + 4 - p for o. 1 Let b be 2/(-3)*2*(-15)/10. Solve -4*q - g + 16 = -b*g, -g + 4 = q for q. 4 Let m be 8/1*(-5)/(-10). Let o be m/(-7)*7/(-2). Suppose -5*a - o*f - 10 + 35 = 0, 5*f = 0. Solve -a*u + d - 25 = -4*d, -u - 3*d = -3 for u. -3 Suppose 5*c - 2*n = -5*n + 3, -n = -c - 1. Solve c = -5*q - 20, z + 3*q = 3*z - 6 for z. -3 Suppose 5*d - 5*v = 2*d + 20, d - 8 = 3*v. Solve 0 = 2*j - j - 5*t - 29, 0 = 4*j + d*t + 9 for j. 4 Suppose 19*f - 12 = 3*c + 22*f, 3*f = -2*c - 13. Solve 2*d = -i - c, d - 7 = -i - i for d. -3 Let f = -415 + 417. Let l(t) = t + 6. Let z be l(-5). Let x = 3 + z. Solve y = -3*b + 7, f*b + y = -0*y + x for b. 3 Let h = -194 - -198. Solve -a = 2*v - h*a + 6, 5*a - 10 = 2*v for v. 0 Suppose 3*v - 29 = -5*l, 31 + 6 = 4*v + 5*l. Solve -v*g = -3*g + 5*b - 10, 3*g + 2*b = 5 for g. 1 Let t = 1310 - 1297. Solve -2*x - t = -10*s + 15*s, 22 = -2*s - 5*x for s. -1 Suppose -4*t + t + 9 = 0. Suppose 9 = 3*y + t. Suppose -60 = -5*i - 5*h, i + y*i = 4*h + 36. Solve -3*u + i = 0, -3*m + 0*u - 2*u = -17 for m. 3 Suppose 2 = -4*x - 90. Let p(q) = 4*q**2 + q - 1. Let w be p(3). Let i = w + x. Solve -t + 6 = -3*z + i, 2*t + 4 = -z for z. 2 Suppose 5*x - 6 = 24. Let k(q) = -18 + 4 - q + 4*q. Let w be k(x). Solve -5*f = 3*t - w, 5*f - 7 = -4*t - 0 for t. 3 Let z be 12 + (3 - 0) + 2. Let v = 27 - z. Let u = v + -6. Solve -3*m + 3 = -0*m - d, 0 = -u*m + 4*d + 12 for m. 0 Let o(w) = -w**3 - 5*w**2 - 11*w - 54. Let h be o(-5). Solve 3 + h = 2*v - 2*r, 0 = 2*v - 3*r - 9 for v. -3 Suppose 0 = 4*j + 2*t, 0 = -3*j + 5*t - 3*t + 14. Solve 0*v - w - 7 = 4*v, j*w = v + 13 for v. -3 Let r(o) = o**2 - 3*o. Let b be r(4). Let a be 2/b*6 - 1. Solve 5*k + 6 + 25 = 4*d, 0 = a*d + 4*k + 4 for d. 4 Let m be ((-16)/(-6))/((-168)/(-252)). Solve -5*g - 15 = -5*h, -3*g = -m*h + 16 - 4 for h. 3 Suppose 0*n = 5*o + n - 10, -o + 4*n + 23 = 0. Solve -4*s + 3 = -5*i - 5, 2*i - o*s - 1 = 0 for i. -4 Suppose 6*x = 2*x - 4*x. Suppose 4*u + 22 - 34 = x. Solve 4*n - 3*b - u = -0*n, 4*n = -5*b + 27 for n. 3 Let d = -20 - -24. Suppose 0 = -2*s, -s - 72 = d*n + 3*s. Let p be (n/12)/((-2)/4). Solve 3*b + 4*x + 12 = x, -p*b - 12 = -3*x for b. -4 Suppose -4*t = -2*d - 59 + 23, 5*d = 20. Solve -t*g = -5*y - 14*g + 14, 0 = 3*y - 2*g - 16 for y. 4 Let a = 2 - 31. Let p = 46 + a. Let r(g) = -g**3 + 17*g**2 - g + 25. Let s be r(p). Solve -5*h + 4*f = 23, 0 = -5*h + f - s - 9 for h. -3 Let h(c) = c. Let i be h(2). Suppose -8 + 29 = 3*z. Suppose 3 = -z*y + 3. Solve 0 = 5*l - 20, y = i*k + 3*l - 4*l - 6 for k. 5 Let n be 45/12 - 1/(-4). Suppose -2*m - n*p + 0*p = -6, 4*p + 3 = m. Let s = 1 + m. Solve -2*u - 4*j = -u - 9, -s*u + 3*j - 21 = 0 for u. -3 Let z be (6/5)/(48/(-3680)). Let d = z + 96. Solve -3*t - g - 9 = 0, 4*g - d = 8 for t. -4 Let u(l) = -3*l - 1. Let h be u(-3). Let n be 8/6*(h - 5). Solve 4 = -4*c + n*x, 9 = -c + x - 4*x for c. -3 Let z(y) = y**3 - 14*y**2 + 34*y - 118. Let i be z(12). Solve -8 = n + a, -n = -i*a - 3 - 1 for n. -4 Let h = 213 - 211. Solve 0 = h*p + 4*g + 11 + 5, 0 = g + 3 for p. -2 Suppose -173 + 49 = -31*u. Solve u*d + 3*j = -6 + 14, -5*j = 20 for d. 5 Let p(h) = -h**3 - h**2 - 2*h. Let v be p(-1). Solve 4*i - 3*i = -3*a + 14, -8 = -v*a for i. 2 Let y(r) = 8*r + 4. Let l be y(4). Suppose -l = -6*j + 2*j. Solve -3*n = 3*g - j, 3*g + 8 = n - 3 for n. 5 Let w(q) = 3*q**2 - 6*q + 5. Let z be w(2). Solve 3*h = -2*h + 5, -z*n = -3*h - 12 for n. 3 Let x(o) = o**2 - 7*o + 9. Let j be x(6). Suppose 4*l - 4*q - q - 45 = 0, 30 = 3*l - j*q. Solve -5*p + 15 = 2*t + l, p = 2*t + 2 for p. 2 Suppose 300 - 339 = -3*u. Solve 5*z - c + 20 - 3 = 0, 0 = -4*z + c - u for z. -4 Suppose -15*u = -2*u. Suppose a - 64 = -a. Solve 4*b - a = 5*f, f + u*f = b - 7 for f. -4 Let h(f) = 3*f - 13. Let t be h(6). Suppose 2*w = -5*r - t, -5*w + 1 + 0 = -r. Solve -s - y + 2 = s, w = 3*s + 3*y for s. 2 Let x = -23 - -15. Let m(r) = -r**2 - 8*r + 15. Let i be m(x). Solve o - 25 = -4*b, 0*o - i = -3*o for b. 5 Suppose 3*m = 3*p - 3, -232*p + 235*p + 2 = -2*m. Let a be (-19)/(-4) + 3/12. Solve -o - 2*s + 4 = -1, p = 2*o - a*s + 8 for o. 1 Let k = 269 - 269. Solve 5*d + 35 = 5*n, 2*d + 2*n - n + 8 = k for d. -5 Suppose 2*c - 4 = -5*g - 2*c, 4*g - 5*c + 5 = 0. Suppose -u = 4*w - 24, g*u - 3*u = w - 17. Solve l = 2*l + j + 3, 4*j + 14 = -w*l for l. -2 Suppose -388 + 402 = 7*r. Solve -3*c - 3*y = 3, -4*c + 2*y + r + 0 = 0 for c. 0 Let g(l) = -l**2 + 21*l - 52. Let r(a) = -6*a - 18. Let f be r(-6). Let h be g(f). Solve h*v = 2*j - 0*j + 14, -25 = -5*v for j. -2 Suppose -2*x + 2*q = -q - 2, -q = -x + 2. Suppose -5*d + 4 = -2*a + 9, -x*a = 5*d - 85. Solve 2*i - 2*g + 1 = -a, g = -3*i - 4 for i. -3 Let j(m) = 6*m + 21. Let c(y) = 9*y + 32. Let x(l) = -5*c(l) + 7*j(l). Let g be x(-6). Solve -3*t = 2*p - 7*p - 11, -g*p = 3*t - 1 for t. 2 Suppose -4*j + 13*j = 6*j. Let v(s) = 3*s + 12. Let y(r) = -1. Let i(z) = -v(z) - 15*y(z). Let w be i(j). Solve 3*a = w*h + 3, -h + 1 = -0 for a. 2 Let v(g) = -g**3 - 5*g**2 + 2*g - 22. Let z be v(-6). Solve -3 = b, -t - b + z = -2*t for t. -5 Let d = 74 - 77. Suppose -2*q - 9 = 6*a - a, -5*a - 15 = 0. Let r be (q + d)*(-2)/(-4). Solve 3*x = 5*c + 4, x + 8 = -3*c - r*x for c. -2 Let x = 107 - 126. Let b = 23 + x. Let q(r) = r**3 - r**2 - r + 1. Let v be q(2). Solve -4*u - 5*c + 7 = 0, -u - b*u = -v*c - 18 for u. 3 Suppose -3*j + 15 = 0, 0 = -4*v - 2*j + 4*j + 86. Let q = 33 + -57. Let p = v + q. Solve 0 = i + 2*t + 9, 5*i + 4*t + p*t + 33 = 0 for i. -5 Let u be ((-1 - -13)/3)/1. Let w(z) = -z**3 + z**2 + z + 40. Let k be w(0). Let i be (4 + k/4)*1. Solve -q = 4*l - 21, l + l = -u*q + i for l. 5 Suppose -2*w = -2*z - 18, 18 = 4*w - 5*z - 20. Solve 3*s - s = 5*k + w, s + 4 = 0 for k. -3 Let t(c) = -c**3 - 8*c**2 + 8*c - 6. Let w be t(-9). Suppose -16 = w*f - f. Let x be (18/(-24))/(2/f). Solve -4*u - x*y - 22 = 0, y + 1 = u + 3 for u. -4 Suppose -20*r = 32*r - 884. Solve -r = -4*w - 5*l, -l + 0 + 13 = -4*w for w. -2 Let i(v) = -v**3 - v - 15. Let l be i(0). Let q = 20 + l. Suppose 2*k + b - 1 = 0, q*k + b + 2*b = 2. Solve -4 = -3*o - k, -2*g - 3*o + 7 = 0 for g. 2 Let o be 0/(3/6*-2). Suppose -4*a = -2*f - 116, o = 4*a - 3*a - 2*f - 26. Solve 3*p = -3*z + a, p - 3*p = 4*z - 30 for z. 5 Suppose -z - z + 4 = 0. Solve 4*u = -3*l - 7, -l = z*l - 5*u - 2 for l. -1 Suppose -3*a + a + 2 = 0. Suppose -4*u + 2*u + 4 = 0. Let c be a/(u/(3 + 3)). Solve -12 = -4*i - 4*r, 5*i - r = c + 6 for i. 2 Let l be 2/(-4)*-2 + -1. Suppose l = 2*p - 8 - 0. Suppose 3*a = 8 + p. Solve 5*u = -2*k - 17, 0 = a*u - 2*k + 6 + 4 for u. -3 Let m = -1 - -16. Suppose -25*l + 21*l + 120 = 0. Let x = l - 26. Solve -u = x*f + m, 5*f - 5*u = f + 3 for f. -3 Let a(t) = -16*t + 1. Let o be a(2). Let u = o + 35. Solve -5*l = -10, z - 16 = -3*z - u*l for z. 2 Let k = -20 - -27. Let x be (-4)/16*(-6 - -2)*k. Solve 3*i - 4*t = 2 - x, 35 = 5*i + 2*t for i. 5 Suppose -5*r + 16 = -3*g, -2*r - 3 = -13. Solve -g*d = s + s - 22, 16 = 4*d for s. 5 Let d be (2 - 12)*1/(-2) + 5. Solve -q + 0*p - 3*p - d = 0, -2*q = -p - 8 for q. 2 Let o(u) = -2*u**3 + 3 - u**3 + 2*u + 2*u. Let w be o(-1). Solve 3 = 2*a + 13, -2 = 4*r + w*a for r. 2 Suppose -3*v + 114 = -0*v. Let l = v - 33. Let p = l - 0. Solve w + 3*q + 3 = -0, -4*q = -p*w - 15 for w. -3 Let j(b) = b - 4. Let w be j(6). Suppose 0 = -p - w. Let u be 3/(-15)*p*5. Solve -a - 2*y + 4*y = -6,
{ "pile_set_name": "DM Mathematics" }
t = 1.08 + -0.81. Let c = 22/3 - 7. Is t >= c? False Let p = -44 - -51. Suppose -7 = p*n - 28. Suppose -n*w + 15 = -5*o, 3*w - 4*o - 12 = -0*w. Is 4/63 at least w? True Let k = 12451 - 11582. Which is greater: 870 or k? 870 Suppose 5*s + 19 = 3*k, -15 = -5*s - 5*k - 10. Suppose 4*x = 3*f + 26 + 3, 5*x = 2*f + 38. Which is smaller: s or x? s Let u = -75.968 + -0.032. Let w = u - -99. Let i = 24.9 - w. Which is smaller: i or -2? -2 Suppose 4*s + 0*s - 12 = 0. Suppose 5*v - s - 2 = r, 0 = 4*v - 4. Suppose -x + 4 - 3 = r. Which is smaller: x or -2/347? -2/347 Let q = 3 - -2. Suppose -q*k + 19 + 151 = 0. Is 104/3 equal to k? False Let a be -6 - ((1 - -10) + -4). Let y be -2 + 0 + 105 - (a + 11). Is y smaller than 104? False Let i = -11169676/22867 - -6350/13. Which is smaller: i or -1? -1 Let a be (-4)/10 + 656/90. Suppose -14*j = -18*j + 5*w + 5729, -2*j - 4*w + 2832 = 0. Let l = j - 1420. Which is smaller: l or a? l Let d be 20/(-2104)*(-128)/880. Is d at most 0? False Let t = 85 + -80. Suppose t*h - v = 16, 0*v - 3*v = 3. Suppose -2*i + h*x + 4 = -2*x, 4*i + 5*x + 22 = 0. Which is bigger: -11/5 or i? -11/5 Let z be ((-93)/(-45) - (-2)/(-2)) + 2. Let g = z - 371/165. Is 2/5 at least as big as g? False Let q = 2.054 + -0.054. Which is smaller: 7.76 or q? q Let a be 2954/(-98) - 5*1/(-35). Let x = -21 + -8. Is x != a? True Let i(m) = m**3 - 12*m**2 - 4*m - 1. Let c be i(6). Let y = -345 - c. Let s be (154/(-35) - -6)/(2/(-130)). Is y >= s? True Suppose 45047 = 37*x + 70*x. Which is greater: x or 417? x Let c = -57165/7 - -8148. Is c greater than -18? False Let n = -0.37 - -18.37. Let b = -125.1 + 125.3. Is n > b? True Let l = 50.9 + -52. Let c = 64.9 - l. Is 0.3 smaller than c? True Let b = 1421.9 - 1416. Let s = -0.043 - 3.857. Let w = s + b. Which is bigger: w or -0.2? w Let w be (-1293 + 3561)/((-10)/24 - 0). Which is bigger: w or -5443? -5443 Let a = -14.3 - -80.3. Let k = -0.5742 + -65.3558. Let d = a + k. Are d and 0 non-equal? True Suppose 2*s + 8 = -5*t + 2*t, -t - 7 = 5*s. Are s and 19/116 non-equal? True Let g = 2811671/165554 - 1002/59. Let u = 5721/305854 - g. Which is smaller: u or 0.2? u Let g = -31 - -157. Let y be 230/1344 + (-21)/g. Which is greater: y or -1? y Suppose 4*c - 49 = 3*n, -5*c - 4*n + 13 = -87. Let b be 18/(-4)*c/(-156). Is b <= -3? False Suppose 2*j = -3*p + 12, p = 3*j + 6*p - 20. Let d be 16093/1210 + 13/(-1). Are j and d non-equal? True Let f = -9412 + 9199. Suppose a + 425 = -2*q, -2*a = 2*q - 3*a + 427. Is q <= f? True Let o = 2120 + -1706. Is o greater than 416? False Suppose -18350 = 27*w - 24*w + 2*q, -4*w = q + 24475. Does w = -6121? False Let u be 2 + 3*(-6)/9. Let c = 1498 + -1466. Is u at least c? False Let o be 0 - (-1)/((-276)/(-32)). Suppose 10 = 2*j - 5*k, 112*j - 3*k - 6 = 108*j. Do j and o have the same value? False Let w = -5475750/841 - -6511. Are 0 and w equal? False Suppose -3*q + 16 = 4*f - 23, 0 = -3*q - 5*f + 42. Suppose -3*c = 2*c - 75. Suppose 3*g - 3*n + q = 0, -2*g - c = -5*n - 0. Is g at least as big as -10/19? True Suppose 295 = 5*k + 5*p, -23 = 2*k - p - 132. Is 166/3 less than k? True Let w be 139 + (1 + 1 - 1). Let m be -9 + ((-24695)/99)/((-80)/48). Are m and w equal? False Let y(r) = -960*r - 13275. Let i be y(-11). Which is greater: -2716 or i? i Suppose 9*i = -15 + 87. Let w(t) = t**2 - 9*t + 2. Let v be w(i). Let g = -30 - -24. Is v at least as big as g? True Let h(r) = 4*r - 2 + 13 - 5*r. Suppose 0 = 3*m + 3, 21*m - 17 = 4*f + 22*m. Let b be h(f). Which is smaller: b or 14? 14 Suppose -3*p + 17400 = -r + 3975, -3*r - 4*p = 40171. Which is smaller: r or -13402? -13402 Suppose 4*z + v - 65 = 0, 32*z - 28*z - v - 55 = 0. Suppose -6*o + z + 9 = 0. Is o at least as big as 9? False Let c(d) = -3*d**2 - 22*d - 17. Let l(p) = 13*p**2 + 89*p + 68. Let r(f) = 9*c(f) + 2*l(f). Let h be r(-19). Suppose -h + 6 = -x. Which is smaller: 2/9 or x? x Let c = 5436 + -16306/3. Let k = 16 + 59. Let t = k - 822/11. Is t <= c? True Let k = 5388 + -7609. Which is smaller: -2222 or k? -2222 Suppose 33*h - 15504 + 31542 = 0. Is 8 at least as big as h? True Let b = -468 - -658. Suppose b = -3*z - 4*q, -4*z - 5*q - 320 = z. Which is bigger: z or -64? -64 Let w(b) = b**3 + 7*b**2 + b + 4. Let d be w(-7). Let l be ((-2)/d)/((-2)/(-45)). Suppose 560 = 46*z - 84. Which is smaller: l or z? z Suppose -31800 = -1568*t + 1643*t. Does t = -419? False Let o(q) = 18*q**2 - 10*q + 11. Let z be o(1). Suppose z*x = 844 + 714. Is x != 82? False Suppose w + 6*k = 2*k + 8, -w = -4*k. Let c be (-2)/w - 65/(-26). Suppose -c*s + 61 - 7 = 0. Is 27 greater than or equal to s? True Suppose 0 = -2*v - 2*i - 7349 - 2207, -5*i + 19103 = -4*v. Which is smaller: -4776 or v? v Suppose 0 = -h + 5 - 4. Let x be 3/((-5 + h)/4). Let d be (-36)/(-54) - 4/x. Is 5/4 less than d? True Let s = 291 + -354. Let g = 0.338 - 0.038. Which is greater: g or s? g Let d = 2753.9 - 2754. Is -168 not equal to d? True Let i be 3 + (0 - -1) - (-5 - -14 - -116). Which is bigger: -147 or i? i Let u = 4444.036 + -4408. Let x = u - 36. Let r = 0.136 - x. Is 6 < r? False Suppose 99*f = -36 + 432. Suppose 2*w - 36 - 18 = 0. Suppose -5*y + 4*u = 131, 3*u = -y + f*u - w. Which is greater: -68/3 or y? -68/3 Let b be ((-8)/(8/3))/(-3). Which is bigger: b or 2/9? b Let b = -4645 + 32518/7. Is -466 equal to b? False Suppose -398 = 16*y + 306. Let u be (-1281)/(-13110) + y/440. Which is smaller: u or 0? u Let q(z) = 3*z + 10. Let g be q(0). Let t be (0 - (-17)/g) + (-219)/146. Which is smaller: -7/5 or t? -7/5 Let f be 0*(-27)/459 - (-5)/((-114945)/6). Which is smaller: -1 or f? -1 Let q be 12/(-69822)*(114/(-54) + 2). Which is smaller: 0 or q? 0 Let j = 93 + -88. Let m(v) be the third derivative of v**5/60 - v**4/6 - 4*v**3/3 + 7*v**2. Let z be m(j). Which is smaller: -5 or z? -5 Let q = -7 + 9. Suppose -3*l - 3 = -5*m, q*l - 9 = -1. Suppose 0 = m*d + 3*i - 135, 6*i - 2*i = 20. Do 42 and d have the same value? False Let o = -71/543 + 54826/315483. Which is smaller: o or 0? 0 Suppose 34*m = 1582 + 8176. Which is bigger: 299 or m? 299 Suppose 13524 = -4*w - 4*s, 5*s + 3383 = -w + 26. Which is bigger: w or -3389? w Let h(m) = -m**2 + 57*m + 1079. Let o be h(72). Which is greater: o or 2/1605? 2/1605 Suppose 3*w + 15 = 793*s - 797*s, 3*s = -5*w - 25. Which is bigger: 3/2357 or s? 3/2357 Let i = -145802 + 729008/5. Let y = 176 - 95. Is i at least as big as y? False Let v = -49.2 + 572.2. Let o = 522.95 - v. Are 0.2 and o non-equal? True Suppose 9*h - 7*h = 3*r + 94, -194 = -4*h + 3*r. Let j(p) = -10*p - 1. Let o be j(-6). Let k = h - o. Which is smaller: -11 or k? -11 Let u(h) = h**3 + 7*h**2 + 13*h + 7. Let a be u(-1). Which is greater: -1/73 or a? a Let k = -94 + 88. Let f be 8/(-10) + k + 4. Suppose -3*a + 12 = -6*a. Which is smaller: f or a? a Let j(q) = -29*q - 6. Let f be j(-34). Suppose 11*n - 6*n = -f. Is -195 at most as big as n? False Let b = -3090 - -9545. Do 6454 and b have the same value? False Let s be (12/(-480)*170)/(6/(-100)). Which is greater: 72 or s? 72 Let w = -235.962 - -236. Let f = w + 53.962. Which is greater: -1 or f? f Suppose -2*p + 2*w + 194 = 0, p - 94 = -20*w + 18*w. Let o = p + -478/5. Does -32 = o? False Let i(n) be the first derivative of n**4/4 - 2*n**3/3 - n**2/2 + 7*n - 29. Let f be i(4). Let q be (16/12)/((-50)/f). Which is smaller: 0 or q? q Suppose -4*r + 9010 = 2*w, 5*r - 62*w + 63*w = 11273. Which is smaller: r or 2254? 2254 Let z = -0.524 - -0.5547. Let r = -7.1693 - z. Is -2/9 at most as big as r? False Let o = -148.8 + -37.2. Let q = o + 185.88. Is q bigger than -9? True Suppose 4*p - 253 = -85. Let o be p/(-11) - 14/77. Suppose -6*m - 29 = -5. Are m and o non-equal? False Let n = 1/6 + -2/3. Let p = 25.05 + 23.95. Which is bigger: n or p? p Let s = 3682.33 + -3682. Which is smaller: s or -6/31? -6/31 Suppose 0 = 51*h + 4 + 47. Is 6/439 bigger than h? True Let s(p) = p**3 - 6*p**2 - 7*p + 9. Let k be s(7). Let c(t) = 5244*t + 5254. Let w be c(-1). Is k equal to w? False Let g(r) = 3*r**3 + 5*r**2 - 2*r - 3. Let u be g(-4). Let l = u - -127. Which is smaller: 19 or l? 19 Let v = -777 + 4675/6. Suppose -495 = 2*f + 4*r + 19, -2*f - 5*r = 518. Let b = f + 252. Is b >= v? True Let o = -21.99 + -5.21. Let d = 70.2 + o. Which is
{ "pile_set_name": "DM Mathematics" }
1 x? 1/10 Two letters picked without replacement from cchencdenynhhec. Give prob of picking 2 c. 2/35 Three letters picked without replacement from {c: 1, h: 1, r: 1, s: 1, z: 1}. What is prob of picking 1 c, 1 h, and 1 r? 1/10 Two letters picked without replacement from {k: 5}. Give prob of picking 2 k. 1 Three letters picked without replacement from {y: 4, l: 4, b: 9, z: 1, k: 1}. What is prob of picking 1 z, 1 y, and 1 b? 12/323 Two letters picked without replacement from {j: 1, m: 2, x: 2, w: 1, n: 1, p: 1}. What is prob of picking 2 m? 1/28 Four letters picked without replacement from {l: 4, e: 3, p: 3, r: 4}. What is prob of picking 2 e and 2 r? 18/1001 Three letters picked without replacement from {i: 3, d: 9, e: 4, t: 2, f: 1}. Give prob of picking 1 e and 2 t. 4/969 Two letters picked without replacement from {l: 1, c: 1, v: 1, w: 2, e: 1, i: 1}. What is prob of picking 1 c and 1 w? 2/21 Two letters picked without replacement from ojjijjzyi. What is prob of picking 1 j and 1 o? 1/9 Three letters picked without replacement from eeehhhehev. What is prob of picking 3 e? 1/12 Calculate prob of picking 1 o, 1 n, and 2 r when four letters picked without replacement from {q: 1, r: 2, n: 1, o: 1}. 1/5 Four letters picked without replacement from {r: 6, z: 2, e: 4, x: 1, m: 3}. What is prob of picking 2 e, 1 z, and 1 r? 18/455 What is prob of picking 1 s and 2 p when three letters picked without replacement from {m: 4, p: 4, s: 7}? 6/65 Three letters picked without replacement from {q: 1, g: 1, z: 2, t: 3}. What is prob of picking 1 g and 2 t? 3/35 What is prob of picking 3 i when three letters picked without replacement from iizziiiiiizi? 21/55 Calculate prob of picking 1 d and 2 b when three letters picked without replacement from bbbdbbbd. 15/28 What is prob of picking 1 n and 2 z when three letters picked without replacement from {n: 1, b: 4, z: 3}? 3/56 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {w: 1, p: 1, b: 1, a: 2}. 1/10 Three letters picked without replacement from {c: 1, a: 6, b: 2, n: 3, x: 1}. Give prob of picking 2 a and 1 c. 15/286 Three letters picked without replacement from slcxdrr. Give prob of picking 1 l, 1 d, and 1 r. 2/35 What is prob of picking 2 i and 2 c when four letters picked without replacement from {i: 9, d: 2, o: 3, c: 3}? 27/595 Three letters picked without replacement from ddddddodwododddco. Give prob of picking 2 d and 1 c. 11/136 Two letters picked without replacement from {n: 5, z: 3, e: 5, h: 1, u: 2}. Give prob of picking 2 e. 1/12 Two letters picked without replacement from dddddduuduuudddddud. Give prob of picking 2 u. 5/57 Two letters picked without replacement from ppluupplu. What is prob of picking 1 u and 1 l? 1/6 Three letters picked without replacement from thheexhejhdjh. What is prob of picking 1 t, 1 d, and 1 h? 5/286 Three letters picked without replacement from pgfkkfgfgkkkkf. What is prob of picking 1 g and 2 f? 9/182 What is prob of picking 1 l and 1 s when two letters picked without replacement from rsclx? 1/10 Two letters picked without replacement from bbpppedpbgddp. Give prob of picking 1 b and 1 p. 5/26 Three letters picked without replacement from bbbvvbq. Give prob of picking 1 q and 2 b. 6/35 What is prob of picking 3 p and 1 j when four letters picked without replacement from pjjppp? 8/15 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {w: 1, z: 3, e: 1, q: 12, n: 1, u: 1}. 4/57 Two letters picked without replacement from bbbbxxxxbbbbx. What is prob of picking 2 x? 5/39 Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, y: 1, d: 3, z: 5, l: 4}. 10/153 What is prob of picking 3 s when three letters picked without replacement from ekizzpzppiszipeesspi? 1/1140 Three letters picked without replacement from qnqywlnqyqn. What is prob of picking 3 n? 1/165 Four letters picked without replacement from {x: 4, e: 7, i: 5, l: 3}. Give prob of picking 1 e and 3 i. 35/1938 Three letters picked without replacement from {v: 3, m: 11}. What is prob of picking 3 v? 1/364 Calculate prob of picking 4 o when four letters picked without replacement from fffooofofffo. 1/99 Calculate prob of picking 4 p when four letters picked without replacement from {c: 9, p: 5}. 5/1001 Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wwwwwgwwwwwgwwgw. 13/40 Three letters picked without replacement from pbuhqhbhuupphbpbhub. What is prob of picking 2 p and 1 b? 10/323 What is prob of picking 2 z when two letters picked without replacement from {z: 2, r: 7}? 1/36 What is prob of picking 1 d, 2 t, and 1 e when four letters picked without replacement from {t: 5, w: 3, d: 1, e: 1}? 1/21 Two letters picked without replacement from qqvqyyyqycqvqqqqmaca. What is prob of picking 2 c? 1/190 Two letters picked without replacement from mqqyggggg. Give prob of picking 1 g and 1 m. 5/36 What is prob of picking 2 m and 1 d when three letters picked without replacement from mkmmmkmmppdppm? 3/52 Three letters picked without replacement from pppkklk. Give prob of picking 2 k and 1 l. 3/35 Calculate prob of picking 2 r, 1 x, and 1 b when four letters picked without replacement from xcczbrr. 1/35 Two letters picked without replacement from {i: 17, v: 2}. Give prob of picking 2 i. 136/171 Three letters picked without replacement from {g: 4, d: 7}. What is prob of picking 3 g? 4/165 Four letters picked without replacement from aaaafaaaaaffaa. What is prob of picking 1 a and 3 f? 1/91 Three letters picked without replacement from {v: 1, z: 3, o: 1, x: 1, e: 6}. Give prob of picking 1 x and 2 e. 3/44 Three letters picked without replacement from fzzzfnffznff. Give prob of picking 1 z and 2 n. 1/55 Calculate prob of picking 3 n when three letters picked without replacement from xxnxnnxxnxxnxxnn. 1/16 Calculate prob of picking 1 d, 1 n, and 1 t when three letters picked without replacement from nxhxntqnndqhht. 2/91 Four letters picked without replacement from chchchchccccchcchch. Give prob of picking 2 c and 2 h. 231/646 Two letters picked without replacement from {u: 1, l: 1, y: 1, r: 1, i: 2, p: 2}. Give prob of picking 1 r and 1 l. 1/28 Two letters picked without replacement from {d: 5}. Give prob of picking 2 d. 1 What is prob of picking 2 u when two letters picked without replacement from {o: 1, u: 2, f: 1, a: 1, q: 1, r: 1}? 1/21 Three letters picked without replacement from rhhudhuhkhdurudu. Give prob of picking 1 u, 1 h, and 1 r. 5/56 What is prob of picking 1 o and 1 j when two letters picked without replacement from jowo? 1/3 Two letters picked without replacement from {o: 2, z: 2, b: 11}. What is prob of picking 1 o and 1 b? 22/105 Calculate prob of picking 1 q, 1 c, and 1 m when three letters picked without replacement from qcmqrqrqqrqvmqqqqq. 11/408 Four letters picked without replacement from {u: 7, l: 1, w: 10}. What is prob of picking 3 u and 1 l? 7/612 Two letters picked without replacement from {n: 3, o: 2, a: 3, k: 2, u: 1, x: 1}. Give prob of picking 1 a and 1 n. 3/22 What is prob of picking 2 t when two letters picked without replacement from {c: 7, t: 3}? 1/15 Calculate prob of picking 1 x, 1 m, and 1 n when three letters picked without replacement from nmnmxxmmmfxnummxm. 12/85 Two letters picked without replacement from mrdmedof. What is prob of picking 1 m and 1 e? 1/14 Calculate prob of picking 3 s when three letters picked without replacement from {s: 5}. 1 What is prob of picking 1 d, 1 l, and 2 y when four letters picked without replacement from {y: 5, l: 4, d: 1, f: 3}? 8/143 What is prob of picking 3 o when three letters picked without replacement from oooooqqooo? 7/15 Three letters picked without replacement from {v: 2, h: 6, s: 2, k: 2}. Give prob of picking 2 v and 1 s. 1/110 What is prob of picking 1 q and 3 v when four letters picked without replacement from qvqvqqqvqvqvqvqvvvv? 90/323 What is prob of picking 1 j and 2 g when three letters picked without replacement from gpjjgwjwgpggggjgggjj? 9/38 What is prob of picking 3 n and 1 w when four letters picked without replacement from {n: 3, l: 1, y: 9, w: 1}? 1/1001 Calculate prob of picking 2 z, 1 o,
{ "pile_set_name": "DM Mathematics" }
321224 rounded to the nearest integer? 0 Round 0.304288959 to five decimal places. 0.30429 Round -0.0000950566869 to 7 dps. -0.0000951 What is -2459085.67 rounded to the nearest 100? -2459100 What is 51412.5349 rounded to the nearest 1000? 51000 Round 1048.246292 to the nearest 10. 1050 Round 1034922.901 to the nearest ten thousand. 1030000 Round 720486.44 to the nearest one hundred thousand. 700000 What is 46859.27972 rounded to the nearest 1000? 47000 Round 328.882291 to the nearest integer. 329 Round -226.4553719 to 0 decimal places. -226 What is -48.2890117 rounded to one decimal place? -48.3 Round 0.35546809 to one dp. 0.4 Round 0.00745694355 to three dps. 0.007 What is -0.00001222440866 rounded to 6 decimal places? -0.000012 What is 48109.9078 rounded to the nearest ten thousand? 50000 What is 31.15652 rounded to the nearest one hundred? 0 Round -27.5073813 to zero dps. -28 What is 21532265.6 rounded to the nearest one hundred thousand? 21500000 What is -0.0004566385149 rounded to 6 dps? -0.000457 What is 0.000000533439181 rounded to seven decimal places? 0.0000005 What is 4350.21216 rounded to the nearest ten? 4350 What is 95352583.5 rounded to the nearest 10000? 95350000 Round -0.07521312731 to two decimal places. -0.08 What is -0.050467422 rounded to 4 dps? -0.0505 Round -0.000275109047 to 7 dps. -0.0002751 Round -0.0253581539 to 5 decimal places. -0.02536 What is -0.0000007316843759 rounded to 7 dps? -0.0000007 What is 2612.397 rounded to the nearest integer? 2612 Round 3397099627 to the nearest 1000000. 3397000000 What is -1757756300 rounded to the nearest one million? -1758000000 What is 10983.4203 rounded to the nearest 100? 11000 Round 0.01339355669 to 6 decimal places. 0.013394 What is 571465.5224 rounded to the nearest one hundred thousand? 600000 What is -730259.355 rounded to the nearest one hundred thousand? -700000 What is 0.00003749688356 rounded to seven dps? 0.0000375 Round 79038520 to the nearest one hundred thousand. 79000000 Round -0.0000219171757 to seven decimal places. -0.0000219 Round 116418676490 to the nearest one million. 116419000000 What is 0.09945937708 rounded to two dps? 0.1 Round -676.968681 to the nearest 100. -700 What is 13842.949681 rounded to one decimal place? 13842.9 Round 0.04168526193 to 6 decimal places. 0.041685 What is 382505 rounded to the nearest 100? 382500 What is -417.925587 rounded to 1 decimal place? -417.9 What is -759510.383 rounded to the nearest 10? -759510 What is -0.00032877691 rounded to seven dps? -0.0003288 Round 0.00000593543948 to six dps. 0.000006 Round -98073130 to the nearest one million. -98000000 Round -0.4270117381 to 2 decimal places. -0.43 What is -0.002815323589 rounded to four dps? -0.0028 What is -2399295.8 rounded to the nearest one thousand? -2399000 Round -0.0977255723 to 3 dps. -0.098 What is -0.0123203916 rounded to three decimal places? -0.012 Round 1008643.83 to the nearest one hundred. 1008600 What is -328418930 rounded to the nearest 1000000? -328000000 Round 918930.96 to the nearest 100. 918900 Round -26078814 to the nearest 100000. -26100000 Round -0.00571552215 to three decimal places. -0.006 Round 5069300910 to the nearest 1000000. 5069000000 What is 696444.08 rounded to the nearest 100? 696400 What is 0.00153655365 rounded to 4 dps? 0.0015 What is 3.537548635 rounded to one dp? 3.5 What is 16.9630226 rounded to 3 decimal places? 16.963 What is 0.013916302667 rounded to 7 dps? 0.0139163 What is 83275.8586 rounded to the nearest ten? 83280 What is -8750552.9 rounded to the nearest one hundred thousand? -8800000 What is 0.000419054933 rounded to 6 decimal places? 0.000419 Round 6271.96328 to 0 decimal places. 6272 Round -12362.855962 to the nearest 10. -12360 What is 697862.9206 rounded to the nearest ten? 697860 What is -2.019537159 rounded to one decimal place? -2 What is 0.570781341 rounded to 4 decimal places? 0.5708 What is -143.936839 rounded to 1 decimal place? -143.9 Round -19945732.28 to the nearest ten thousand. -19950000 Round 668.725447 to two decimal places. 668.73 What is 0.000222208472 rounded to seven dps? 0.0002222 What is -1224568.53 rounded to the nearest 1000? -1225000 What is 7105.4435 rounded to the nearest ten? 7110 What is 0.101676216 rounded to 2 decimal places? 0.1 Round 5582.36397 to the nearest ten. 5580 Round -20007425.9 to the nearest one million. -20000000 What is 0.00015635032657 rounded to 6 decimal places? 0.000156 Round -3.6613642 to 0 dps. -4 What is 0.00170476429 rounded to six decimal places? 0.001705 What is 193586671.3 rounded to the nearest 10000? 193590000 Round -17732.039 to the nearest ten. -17730 Round -19.05359 to two dps. -19.05 Round 0.00107724765 to three dps. 0.001 What is 0.00971099277 rounded to four decimal places? 0.0097 Round 3355.78724 to the nearest 100. 3400 Round -16417001 to the nearest ten thousand. -16420000 What is 0.000045170684 rounded to seven dps? 0.0000452 Round -0.0024891520429 to four dps. -0.0025 Round 1080075.567 to the nearest ten thousand. 1080000 What is 0.0008999102155 rounded to four decimal places? 0.0009 Round 311.0731056 to one dp. 311.1 What is 0.0004776028804 rounded to seven decimal places? 0.0004776 Round -0.0105323402 to five dps. -0.01053 What is 332031.797 rounded to the nearest one hundred? 332000 Round 0.0017448283 to six dps. 0.001745 Round -0.00071867376 to 5 decimal places. -0.00072 What is 114.16309777 rounded to the nearest integer? 114 Round 994050.281 to the nearest 100000. 1000000 What is -5454.83689 rounded to the nearest 10? -5450 Round 430012.954 to the nearest 100. 430000 Round 228561813.2 to the nearest one million. 229000000 Round 71.8935457 to the nearest integer. 72 Round 0.03088468569 to 4 dps. 0.0309 What is -731.712687 rounded to the nearest 10? -730 Round -19.37632728 to one decimal place. -19.4 What is -90082.0371 rounded to the nearest 1000? -90000 What is -0.0000002120608 rounded to 7 decimal places? -0.0000002 Round -26095.2793 to the nearest 100. -26100 Round 6949760000 to the nearest 1000000. 6950000000 What is 42234006.2 rounded to the nearest 100000? 42200000 Round 14.7424051 to 1 decimal place. 14.7 What is -1.6250982 rounded to 1 dp? -1.6 What is 97.389805 rounded to the nearest integer? 97 Round -0.0000354480136 to five dps. -0.00004 What is -857388514 rounded to the nearest 10000? -857390000 Round -46340.6489 to the nearest ten thousand. -50000 Round 0.00053127621 to 4 decimal places. 0.0005 What is -40779193 rounded to the nearest 10000? -40780000 What is -161.6470149 rounded to two decimal places? -161.65 Round 94.8682692 to the nearest integer. 95 Round -3612636.824 to the nearest 1000000. -4000000 What is 0.002833353 rounded to six dps? 0.002833 What is -19259784.8 rounded to the nearest 100000? -19300000 Round 33667.726 to the nearest 10. 33670 Round 0.0000085161987 to 7 dps. 0.0000085 What is 0.0151952664 rounded to 3 dps? 0.015 Round -0.04724391012 to five decimal places. -0.04724 What is -0.00047825684 rounded to four decimal places? -0.0005 Round 325.98605 to the nearest 10. 330 Round 0.0000035885933 to 7 dps. 0.0000036 What is -112.6544053 rounded to the nearest integer? -113 Round -365.6993019 to the nearest integer. -366 What is -39753673.6 rounded to the nearest 1000? -39754000 What is -0.773051498 rounded to one dp? -0.8 What is -0.00106701658 rounded to five dps? -0.00107 What is -229.434334 rounded to one dp? -229.4 What is -0.00023014633 rounded to four decimal places? -0.0002 What is 8546.9597 rounded to the nearest 100? 8500 What is 0.0487112751 rounded to 3 decimal places? 0.049 Round 0.00009786885937 to seven dps. 0.0000979 Round -2694585.6 to the nearest 100000. -2700000 Round -74876354.4 to the nearest 100000. -74900000 Round -0.5992089143 to 2 dps. -0.6 Round 0.0000134097227 to six decimal places. 0.000013 What is -22493532.1 rounded to the nearest one hundred thousand? -22500000 What is -216.58657 rounded to the nearest one hundred? -200 What is -28316586.82 rounded to the nearest 10000? -28320000 Round 5.193059 to the nearest integer. 5 Round -13189821.47 to the nearest 1000. -13190000 What is 0.028152929 rounded to three dps? 0.028 Round 14883.577 to the nearest ten. 14880 What is -0.00501145854 rounded
{ "pile_set_name": "DM Mathematics" }
+ 2328 - 469 - 460 - 470. -31*k - 1 Collect the terms in 1 + 58*o**3 - 1 - 195*o**3 + 50*o**3 + 64*o**3. -23*o**3 Collect the terms in -3743*z**2 + 14808*z**2 - 3707*z**2 - 3710*z**2 - 3700*z**2. -52*z**2 Collect the terms in 551017*h + 551259*h - 1108211*h. -5935*h Collect the terms in 384*k + 409*k + 32*k - 1625*k. -800*k Collect the terms in -1301828 - 7*h**3 + h - 1301764 + 2603592. -7*h**3 + h Collect the terms in -15*k - 1819*k**2 - 1810*k**2 + 31*k + 5436*k**2 - 16*k - 1801*k**2. 6*k**2 Collect the terms in -82 + 78*d**2 - 2*d - 81 + 163 - 24*d**2 - 16*d**2. 38*d**2 - 2*d Collect the terms in 20 - 20 - l**2 + 6*l + 0*l - 324*l**3 - 4*l**2. -324*l**3 - 5*l**2 + 6*l Collect the terms in -101*i**2 + 55*i**2 + 46*i**2 - i - 1708*i**3. -1708*i**3 - i Collect the terms in -49315*u**2 - 49776*u**2 + 99672*u**2. 581*u**2 Collect the terms in 1160*b**2 - 2276*b**2 - 1 + 1156*b**2 + 3 + 0. 40*b**2 + 2 Collect the terms in -8816449 + 673*m + 8816449. 673*m Collect the terms in -873*m + 0*m**3 - m**3 + 3*m**3 + 9358*m. 2*m**3 + 8485*m Collect the terms in -23444856 - 148*n**3 + 23444856. -148*n**3 Collect the terms in 15*r**2 - 8*r**2 + 15418*r - 4*r**2 - 15422*r. 3*r**2 - 4*r Collect the terms in -4402*w + 63 + 2187*w - 3*w**3 - 63 + 2215*w. -3*w**3 Collect the terms in -31594 + 94887 + 3*a**3 - 31646 - 31647. 3*a**3 Collect the terms in -b + 5*b - 1 + 25*b - 6*b**2 + 13*b - 221*b. -6*b**2 - 179*b - 1 Collect the terms in -166336 + 166336 + 262*o - 247*o. 15*o Collect the terms in 19*d**2 + 33987*d**3 + 92177*d**3 + 19030*d**3 - 19*d**2. 145194*d**3 Collect the terms in 4*g**2 + 137951 - 4*g**2 - 3*g - 137951 + 202*g**3. 202*g**3 - 3*g Collect the terms in 2*r**2 + r**2 + 181288*r - 25 - 4*r**2 - 181288*r + 7*r**2. 6*r**2 - 25 Collect the terms in 125*o - 500*o**2 + 123*o + 124*o - 371*o. -500*o**2 + o Collect the terms in -2 - 2355*c + 4 + 1756*c + 307*c + 305*c. 13*c + 2 Collect the terms in 7527093*r - 3763569*r - 3763530*r. -6*r Collect the terms in -787*v + 1571*v - 784*v - 305*v**2 - 79*v**2. -384*v**2 Collect the terms in 4 + 67758*j + 67886*j - 135678*j - 4. -34*j Collect the terms in -37687*n + 9463*n + 9453*n + 9449*n + 9325*n. 3*n Collect the terms in 218*d**3 + 204*d**3 - 441*d**3 - 414*d. -19*d**3 - 414*d Collect the terms in -69912*z + 17499*z + 17450*z + 17439*z + 17443*z. -81*z Collect the terms in -15310*i**2 - 15287*i**2 + 61176*i**2 - 15290*i**2 - 15284*i**2. 5*i**2 Collect the terms in -539*y**2 - 588*y**2 - 561*y**2 + 2204*y**2 - 552*y**2. -36*y**2 Collect the terms in 3 - 3 - 2 - 19747*u + 5033*u. -14714*u - 2 Collect the terms in 6*x + 23*x**3 + 281*x**2 + 313*x**2 - 876*x**2 - 6*x + 281*x**2. 23*x**3 - x**2 Collect the terms in -w + w - 7 + 205*w**2 - 561*w**2 + 159*w**2 + 187*w**2. -10*w**2 - 7 Collect the terms in 2713*l**3 + 10195*l**3 - 12910*l**3. -2*l**3 Collect the terms in -3*d - 14073*d**2 + d - 110*d**3 - 96*d**3 + 14073*d**2. -206*d**3 - 2*d Collect the terms in -245*w**2 + 415*w**2 - 176*w**3 + 838*w**2. -176*w**3 + 1008*w**2 Collect the terms in -14 + 78 + 8 - 3*n**3 - 3. -3*n**3 + 69 Collect the terms in 531*s + 533*s - 147613*s**3 - 1064*s. -147613*s**3 Collect the terms in -27*o**2 - 37*o**2 - 28*o**2 - 35*o**2 + 128*o**2 + 17. o**2 + 17 Collect the terms in -44773*c**3 + 15*c**2 - 15*c**2 + 22391*c**3 + 22391*c**3. 9*c**3 Collect the terms in 49*u**2 + 52*u**2 + 50*u**2 + 44*u**2 + 2*u**2 - 53*u**2. 144*u**2 Collect the terms in 701*b**3 - 2*b + b + b - 1511*b**3 + 801*b**3. -9*b**3 Collect the terms in -5*w + 170*w**2 - 39*w**2 - 71*w**2 + 0*w + 5*w - 65*w**2. -5*w**2 Collect the terms in 11110*t - 3532*t - 3791*t - 8*t**3 - 3787*t. -8*t**3 Collect the terms in -5548 - 11307 - 87339 - 5*t. -5*t - 104194 Collect the terms in -v + 2*v**3 - 315713 - v + 315723. 2*v**3 - 2*v + 10 Collect the terms in 30 - 3720*b - 2988*b + 557*b. -6151*b + 30 Collect the terms in -36*z**2 - 851*z**3 + 875*z**3 + 35*z**2. 24*z**3 - z**2 Collect the terms in -4*x + 6*x + 81*x**3 + x - 266*x**3 + 181*x**3. -4*x**3 + 3*x Collect the terms in -2*h - 3*h + 0*h + 7*h**2 - 9193 + 9260. 7*h**2 - 5*h + 67 Collect the terms in -2495*i**3 + 2498*i**3 + 36*i**2 - 10*i**2 - 8*i**2 - 18*i**2. 3*i**3 Collect the terms in -53*n**2 + 0*n - 235 - 183 - 6*n**3 + 417 + 0*n. -6*n**3 - 53*n**2 - 1 Collect the terms in -1356 - 1150 + 14*k + 2506. 14*k Collect the terms in 1043*t**2 - 595 + 202 + 199 + 194. 1043*t**2 Collect the terms in 10223544931264 - 10223544931264 - u**2. -u**2 Collect the terms in -23868986*t - 7857717*t + 9561177*t. -22165526*t Collect the terms in 37 + c**3 + 148*c + 40 - 1063 + 986. c**3 + 148*c Collect the terms in -9113776*x**3 + 4557351*x**3 + 4556407*x**3. -18*x**3 Collect the terms in 1361*m**3 - 9 - 129*m**3 - 8*m**3 + 86*m**3 + 7. 1310*m**3 - 2 Collect the terms in u + 35*u**2 - 24068 + 8014 + 8023 + 8031. 35*u**2 + u Collect the terms in -13*v - 80*v + 191 - 2*v - 37*v. -132*v + 191 Collect the terms in -11002*v**3 - 10875*v**3 + 32862*v**3 - 10982*v**3. 3*v**3 Collect the terms in -64489*s**2 - 40671*s**2 - 74205*s**2 + 3*s**3. 3*s**3 - 179365*s**2 Collect the terms in 310*t + 56*t**2 + 304*t - 1235*t + 312*t + 305*t. 56*t**2 - 4*t Collect the terms in -6872 + 13732 + 2*l + 4*l**2 - 6874. 4*l**2 + 2*l - 14 Collect the terms in 1459*o + 1034*o - 11888*o - 5085*o. -14480*o Collect the terms in -45*t - 527*t - 4277913558 + 4277913558. -572*t Collect the terms in -246027*s**2 - 245872*s**2 + 491898*s**2. -s**2 Collect the terms in 7153 + 9*p**2 - 3576 + 369*p**2 + 260*p**2 - 3577. 638*p**2 Collect the terms in -402 + 8*f + 20069*f**2 + 9*f + 402 - 20068*f**2. f**2 + 17*f Collect the terms in -59 + 59 - 12110704*i**3 - 8075704*i**3. -20186408*i**3 Collect the terms in -1707 - 1779 + 5203 - 1717 - 8*f. -8*f Collect the terms in -1701*m - 29 + 1691*m + 5 - 78*m**3. -78*m**3 - 10*m - 24 Collect the terms in 35*g + 66*g + 134*g**2 - 20*g - 135*g**2. -g**2 + 81*g Collect the terms in p - 7*p**3 + 4138 + 4160 - p - 12449 + 4151. -7*p**3 Collect the terms in 2879143*h**2 - 960683*h**2 - 959232*h**2 - 959232*h**2. -4*h**2 Collect the terms in 98 + 5 + 16*i - 184 - 231. 16*i - 312 Collect the terms in -6*p**2 - 24092 - 29*p - 102*p + 3*p**2. -3*p**2 - 131*p - 24092 Collect the terms in -26*d + 17 + 22*d + 21*d - 7*d - 17. 10*d Collect the terms in -32*z**2 + 5*z**3 + 11*z**3 + 32*z**2 - 5*z**3 + 0*z**3 + 173310 - 173311. 11*z**3 - 1 Collect the terms in 562*p + 870*p + 4 - 1979*p + 0 + 556*p - 4. 9*p Collect the terms in 105*z - 86*z - 664*z**3 - 525*z**3. -1189*z**3 + 19*z Collect the terms in -4*k**3 + 55762 + 55705 - 167210 + 55743 + 6*k**3. 2*k**3 Collect the terms in 6*u**3 - 91*u**2 - 3*u**3 - 5*u**3 - 20*u + 13*u + 7*u. -2*u**3 - 91*u**2 Collect the terms in -1 + 2 + 27647*n - 13835*n + 1 - 13851*n. -39*n + 2 Collect the terms in -709798 - 2037*g + 709798 - 1630*g. -3667*g Collect the terms in -8*t - 3269 + 1532 + 1580 + 10*t. 2*t - 157 Collect the terms in -6*b + 12679938 - 12679938 + 5*b. -b Collect the terms in -39863881*a**2 + 19931940*a**2 + 19931943*a**2 + a - a. 2*a**2 Collect the terms in -307 - 124140*z + 124140*z + z**2. z**2 - 307 Collect the terms in 255*f**3 - 126*f**3 - 16511 - 127*f**3. 2*f**3 - 16511 Collect the terms in -1 + 1 + 24161*a**3 + 24156*a**3 - 73196*a**3 + 24890*a**3. 11*a**3 Collect the terms in -48516*k**2 + 28 + 32 - 60. -48516*k**2 Collect the terms in 1 + 32*z**2 - 1 + 15*z**2 - 29*z**2 + 0*z**2. 18*z**2 Collect the terms in 618*y - 166 - 3075*y + 613*y + 608*y + 621*y + 616*y. y - 166 Collect the terms in 53*d - 85*d - 91*d**2 + 17*d**2 + 280*d**2 + 270*d**2 + 30*d. 476*d**2 - 2*d Collect the terms in -2*c**2 + 265*c**3 + 2215*c**3 + 1918*c**3. 4398*c**3 - 2*c**2 Collect the terms in -88213 - 88003 + 1365*s + 176216. 1365*s Collect the terms in 1020*n**2 + 0*n - 282*n**2 + 2081*n**2 + 0*n. 2819*n**2 Collect the terms in -9 - 18*v**3 + 37*v + 1 - 4 - 35*v. -18*v**3 + 2*v - 12 Collect the terms in -203 - 879*x + 100 + 104. -879*x + 1 Collect the terms in -58436*w + 117138*w - 58711*w. -9*w Collect the terms in -11468*s**2 + 1833*s**2 + 42 - 42. -9635*s**2 Collect the terms in 261771 + 261861 - 20*k**2 - 523632. -20*k**2 Collect the terms in 13*q**3 - 26*q**2 - 4 - 4 - 10*q**3 - 8*q**2. 3
{ "pile_set_name": "DM Mathematics" }
15 - 5 - 12). 140*f**5 Expand (7 - 3 - 1 + (0 - 4 + 5)*(-2 + 0 + 3) + (12 - 6 - 8)*(4 - 1 - 4))*((-4 + 0 + 1)*(-4*v + 0*v + 2*v) + (-v + v - v)*(4 + 0 + 0)). 12*v Expand (d - 2 + 2)*(-2*d - 3*d - d) + (-d + 4*d + 3*d)*(0*d + 11*d - 25*d). -90*d**2 Expand ((-2*p + 4 - 4)*(1 - 2 + 3) + (-4*p + 5*p - 2*p)*(-1 - 1 + 1))*(25584 - 1339*p - 25584). 4017*p**2 Expand -y**3 + y**3 + 2*y**4 + (-2*y + y**2 + 2*y)*(2*y**2 - 4*y**2 - 2*y**2) - 2*y**4 + 0*y**2 + 0*y**2 + 152 - 7*y**4 - 152. -11*y**4 Expand (-n + 5*n + 3*n)*(n + 4*n - 3*n - 6 - 4*n + 6 + (2*n - 5*n + 2*n)*(2 + 0 + 3)). -49*n**2 Expand -1 - 2*l**3 + 1 + 2*l**3 + 5*l - 5*l + (4*l - 4*l + l**3)*(1 - 1 + 1) + (l**2 + 5*l**2 - 4*l**2)*(-3258 + 3258 + 6*l) + 0*l**3 + 4*l**3 - 2*l**3. 15*l**3 Expand (185*z - z**2 - 561*z - 126 + 380*z)*(-3*z + 2*z + 0*z). z**3 - 4*z**2 + 126*z Expand (21 - 50 - 3)*(2*v + 4 - 4)*(-6*v + 0*v + 2*v). 256*v**2 Expand ((-6 + 1 + 2)*(-2 - 5 + 5) - 274 - 62 - 3)*(2*y**3 - y**3 + 0*y**3 + (3 - 2 + 1)*(-4 - y**3 + 4)). 333*y**3 Expand (-34 + 2*q**3 + 34)*(1 - 12 - 18)*(1 + 2 - 4)*(0 - 1 - 1)*(-2 + 2 + 3). -348*q**3 Expand (-2*s - 2140*s**2 - 2103 + 2*s - 13418*s**2 + 2103)*(-3*s**2 + s**2 + 7*s**2). -77790*s**4 Expand 1368*w**3 + 2*w**4 - 1368*w**3 + 19*w**2 + (-3*w**3 + 3*w**3 + w**3)*(1 + 0 + 2)*(2*w - 3 + 3) - 3 - 9*w**4 + 3. -w**4 + 19*w**2 Expand (1 - 3 + 3)*(-275011*i + 1587*i**5 + 275011*i). 1587*i**5 Expand (4 + 1 - 4)*(4*u - 3*u - 2*u) + 3945*u + 2784*u - 1342*u. 5386*u Expand (7*u**2 + 21 - 48*u**2 - 24)*(-177*u**2 + 2 + 120*u**2 - 2). 2337*u**4 + 171*u**2 Expand 2*j**4 - 3*j**4 + 3*j**4 + (j - j - 2*j**2)*(3*j**2 - 6*j**2 - j**2) + 3*j**4 + 4*j**4 - 48*j**4. -31*j**4 Expand (1187 + 933 - 114 + 201 + 630 - 34)*(-10*t - 2*t - 3*t). -42045*t Expand (-224 - 417 - 264)*((-3*x + x + x)*(-2 + 2 + 1) - 3*x + 2*x - x - 1 + x - 3 + 1)*(-6*x + 4*x + 0*x). -3620*x**2 - 5430*x Expand (879*p**4 - 546*p**4 + 879*p**4)*(1 + p - 1). 1212*p**5 Expand (40275 + 17687*i + 40275 - 120827 + 40277)*(0*i**2 - 4*i**2 + 3*i**2). -17687*i**3 Expand (56298 + 1096*n**2 - 56298)*(8*n - 6*n**2 + 8*n - 15*n). -6576*n**4 + 1096*n**3 Expand (m**2 + 0*m**2 - 2*m**2)*(m - 5 + 5) + (0*m + m + 2*m)*(-30*m + 101 - 101)*(-17*m + 77 - 77). 1529*m**3 Expand (5*b**3 - 4*b**3 + 0*b**3)*(-4*b + 4*b + 2*b**2)*(262 + 566 + 752 + 681). 4522*b**5 Expand (-1207*o - 903*o + 2306*o)*(-2 + 2 - 1 + (2 + 0 - 1)*(2 + 0 - 1) + 2 - 1 - 2 + 1 + 12 - 4). 1568*o Expand (32 - 21*m - 32)*(-3 - 2*m + 3) + (m + 4*m + m)*(-m + 2*m + m) + 0 - m**2 + 0 + (-4*m + 3*m - m)*(-3*m + 3*m - m). 55*m**2 Expand 48 - 22*r - 48 + (-2*r - 4*r + 5*r)*(2 - 2 + 2) - 87 + 4*r + 87 + r - 3*r + r + (-3 + 6 - 4)*(4*r - r - 2*r) - 2*r - 2*r + 3*r. -23*r Expand (2*v**2 - 5*v**2 + 5*v**2)*((-4*v + 2*v + 3*v)*(0*v + v - 2*v) - 2*v**2 - 4 + 4 - 1 + 159*v**2 + 549*v - 549*v). 312*v**4 - 2*v**2 Expand (-5*u + 0*u + 0*u)*(807*u + 926*u - 61*u). -8360*u**2 Expand (21*t - 21*t - 12*t**2)*(-37 - 20*t**3 + 10 + 27). 240*t**5 Expand -2*t**2 - 2*t**5 + 2*t**2 - 8 + 2*t**5 + 8 + t**5 - 4*t**5 + t**5 + (-t - 4 + 4)*(14*t**3 - 14*t**3 + 16*t**4). -18*t**5 Expand (-4 + 0 + 11)*(1107*b - 566*b - 665 - 543*b + (-1 - 3 + 5)*(0*b + b - 3*b) + 0 + 0 + b). -21*b - 4655 Expand (94891 - 3045*a - 94891 - 3*a + 4 - 4 + (7 - 3 - 2)*(-2*a + 3 - 3) - 5*a + 3*a + 3*a)*(7*a - 2*a - 3*a). -6102*a**2 Expand (4 - 4 - 8*b**3)*(-3*b**2 + 5*b - 5*b) + (6*b**4 - 21*b**4 + 8*b**4)*(-2*b + 3 - 3). 38*b**5 Expand (0 + 0 + 2)*(3*s**2 - s**2 + 4*s**2) - 4*s - 8*s**2 + 4*s**2 + s**2. 9*s**2 - 4*s Expand (0*h - h - 6*h)*(22 - 3 - 2)*(4*h**4 - 12*h**4 - 2*h**4). 1190*h**5 Expand -2*z + 2*z - 2*z + 2 - z - 2 + (0 - 2 + 4)*(-2*z + 3 - 3) - 2*z + 2*z - z - 691 - 463*z + 144*z + 317*z. -10*z - 691 Expand (-1 + 3 - 1)*(2*m + 0*m + 4*m) + 2*m + 1 - 1 + m + 0*m + 0*m + 22*m - 10*m - 4*m. 17*m Expand ((-m - 5*m + 4*m)*(2*m**2 + 0*m + 0*m) - 1 + 1 + m**3 - 2*m**3 - 9 + 9)*(70 - 98 - 37). 325*m**3 Expand (-4*l - l + 7*l)*(-3 + 3 + 1)*(0 - 2 + 0 + (3 - 2 + 1)*(-1 + 0 + 2) - 1 - 1 + 1 - 1 - 3 + 2 + (4 + 1 - 6)*(3 + 2 - 12)). 8*l Expand (16 + 3*q - 4*q + 3*q)*((6*q - 7 + 7)*(0 - 1 - 1) - 4*q - 4*q + 5*q + 1). -30*q**2 - 238*q + 16 Expand (-2*u + u**3 + 2*u)*((-1 + 0 + 3)*(0*u - u + 2*u) + 168*u - 147 + 170*u - 342*u). -2*u**4 - 147*u**3 Expand (45 - 20*k - 45)*(-12*k + 12*k - 3*k**2)*(2*k - 132 + 103 - 510). 120*k**4 - 32340*k**3 Expand (2 - 2 - 4*r**2)*(0 + 0 - 1)*((2 - 5 + 2)*(53*r - 53*r + 2*r**2) + 92*r**2 + 6*r - 42*r**2 - 49*r**2). -4*r**4 + 24*r**3 Expand (-23*y + 7*y + 10*y)*(-3*y - y - y)*(-9 + y + 23 - 9). 30*y**3 + 150*y**2 Expand (57*q**4 + 41*q**4 - 129*q**4 + 2)*(3 - 9 - 2) + 2*q**4 + 0*q + 0*q. 250*q**4 - 16 Expand (-x**2 - 3*x**2 + x**2)*(-483 + 536 - 1204 - 1003 - 5 + 4 + 3 + (-5 + 2 + 1)*(-1 + 1 + 1)) + (2*x - 1 + 1)*(-2 + 2 + 2*x). 6466*x**2 Expand -2145*f**4 - 120*f + 178*f + 2160*f**4 + (0*f**3 + f**3 + f**3)*(4*f + 0*f - 3*f). 17*f**4 + 58*f Expand 21*o**2 - 21*o**2 + 15*o**4 + (40 - 4*o - 35 - 9*o)*(3*o**3 - o**3 + 0*o**3). -11*o**4 + 10*o**3 Expand (-4 - 1 + 4)*(6 + 12 + 5)*(82*h**2 - 237*h**2 - 99*h**2). 5842*h**2 Expand (-2*b + 2*b - b)*(454 + 180 + 169). -803*b Expand -4*f**3 - 7*f**3 + 5*f**3 + (-3*f**2 + 6*f**2 - 2*f**2)*(4*f - 3*f + 0*f) + 27*f**3 - 55*f**3 + 193*f**3. 160*f**3 Expand (4 + 2*f**3 - 4)*(0*f + 5*f - 3*f)*(-561798 + 561798 - 2801*f). -11204*f**5 Expand (-306*q + 2360 - 308*q + 913*q - 301*q)*(3*q**2 - 3*q + 3*q). -6*q**3 + 7080*q**2 Expand 2*z - z + z + (0*z - 3*z + z)*(-2 - 2 + 3) + 1248*z - 9088 + 9088. 1252*z Expand (b + 2*b - 4*b)*(-b - b + 0*b) - 6*b + 6*b + b**2 + (8*b + 8*b - 21*b)*(166*b - 26*b - 78*b). -307*b**2 Expand (77*h**2 + 772*h**2 + 6*h**2)*((0*h - 2*h + h)*(4 - 4 + 2) - 3*h - h + h)*(-h - h + 0*h). 8550*h**4 Expand (-1 + 0 - 2)*(-374*v + 2250*v + 521*v + 213*v). -7830*v Expand -6*j**3 + 5*j**3 + 3*j**3 + (3*j**2 - 6*j**2 + j**2)*(-9 + j + 9) + 2*j**3 - 3*j**3 + 0*j**3 - 10 - 4*j**3 + 6*j**3 - 3*j**3 + 4*j**3 - 2*j**3 + 3*j**3. 3*j**3 - 10 Expand (-6*z + 9 - 9)*((2*z**2 + 2*z**2 - 2*z**2)*(5*z**2 + 0 + 0) - 86*z + 2*z**3 + 5*z**4 + 86*z + (-2*z + 8*z - 3*z)*(-3*z**3 + z**3 + 4*z**3)). -126*z**5 - 12*z**4 Expand (3 + 0 - 2)*(4649 - 11408*c - 2318 - 2331). -11408*c Expand 4*a**2 - 27205 - a**2 + 27302 + (2*a - 1 + 1 + (0 + 4 - 3)*(2*a - 1 + 1))*(6*a + 3*a - 4*a). 23*a**2 + 97 Expand (2*n - 5*n + n)*(6 + 12278*n + 80 - 12273*n). -10*n**2 - 172*n Expand (-198 + 105 + 101)*(-1 + 3 - 5)*(r**2 - r + r)*(3 - 6 - 2). 120*r**2 Expand (r + r**2 - r)*(0*r**2 + 10*r**2 - 9*r**2)*(-12 - 18 + 25)*(-2 + 5 - 4). 5*r**4 Expand (s - 3 + 3)*(2*s**2 - 12 - 9*s + 10 + 3*s) - 3*s**3 + 0 + 0 + (5*s**2 - 2*s**2 - s**2)*(-3*s + 7*s - 3*s) - 8*s**3 - 7*s**3 - 7*s**3. -21*s**3 - 6*s**2 - 2*s Expand -3*a - 3*a - a - 2*a - 1 + 1 + (5*a - 5*a + 2*a)*(2 + 2 - 5) + (0 - 2 + 4)*(7*a - 2 + 2) + 11*a - a - 13 - 7*a. 6*a - 13 Expand (8485 + 2124*a - 8485)*(-6 + 0 + 0). -12744*a Expand (312 + 756 + 88)*(m + 0*m - 2*m)*(0 + 2 - 1). -1156*m Expand (1 - 1 - 1)*(4*o + 4*o - 6*o) + (2*o - o - 2*o)*(11 + 0 + 9) - 3*o + 4*o + 2 - 4 + 8*o + 3 - 3. -13*o - 2 Expand 31586*r + 232*r**3 - 31586*r + ((0 + 6*r + 0)*(0 + 6 - 4) + 1 + r - 1 + 1 - 1 - 4*r)*(r**2 - 1 + 1). 241*r**3 Expand (l - 3*l + l)*(2313 - 14 + 789). -3088*l Expand (26*q - 2*q + 41*q)*(1 - 12 + 0). -715*q Expand -f + 2*f - 5*f + 4*f - 4*f + f + (6 - 2 + 1)*(18*f - 17*f + 31*f + (3*f + 3 - 3)*(1 + 2 - 2)) - 4 + 2*f + 4. 174*f Expand (-q - 5*q + 5*q + (q - q + 2*q)*(1 - 3 + 1) - q - 2*q + 4*q - 2*q - q + q)*(995 - 489 + 11306*q - 506). -45224*q**2 Expand -1181 + 7*x**2 + 635 + 259 + x**2 + 1 - 1 + 2*x**2 - 5*x**2 + 4*x**2 + (-2*x + 0*x + 0*x)*(0*x - 2*x + 0*x) - 3*x + 3*x - x**2 + x - x**2 - x. 11*x**2 - 287 Expand (6*c**3 - 17*c**3 - 9*c**3)*(144*c**2 + 73*c**2 - 63*c**2). -3080*c**5 Expand (-6013*i**2 + 1427*i**2 - 2328*i**2)*(-2*i + i + 2*i). -6914*i**3 Expand (4 - 4 - 4*z**2)*(-27*z - z - 8*z) + 5*z**3 + 4*z**3 - 5*z**3. 148*z**3 Expand (g + 55*g - 10*g)*(3 - 8*g - 4*g - 1). -552*g**2 + 92*g Expand (2*u + 2*u - 5*u)*(-2 + 2 - 2) - 7*u + 10*u + 2*u + 32*u - 6*u + 7*u - 10*u + u + 2*u. 33*u Expand (56 - 123 - 9)*(-3*u + 0*u + 2*u)*(-3 + u + 3)*(5 + 2 - 5)*(4 - 32 + 4)*(-4*u**2 - 8 + 8). 14592*u**4 Expand -193*a**4 - 749*a**4 - a
{ "pile_set_name": "DM Mathematics" }
-2/3, 17, 4/7, -0.01? 4/7 Which is the third biggest value? (a) 718 (b) -2/3 (c) 4 b Which is the fourth smallest value? (a) -0.3 (b) 12/11 (c) 0.5 (d) 5 d Which is the biggest value? (a) 0.06 (b) 0.7 (c) -10/17 (d) 3 d Which is the smallest value? (a) 6 (b) 4 (c) -2/5 (d) 0.4 c What is the fourth smallest value in 0, -6, -1, 1? 1 What is the fifth smallest value in -5/6, 5, 0.4, -1, -5? 5 Which is the third biggest value? (a) 137 (b) -2/11 (c) 4 (d) -4 b Which is the fifth biggest value? (a) -7/4 (b) -5/3 (c) -0.5 (d) -5 (e) 5 d Which is the biggest value? (a) -4/3 (b) 5/4 (c) -54 (d) 1 (e) 0.3 b What is the fourth biggest value in -5/2, 0.09, -0.1, 5? -5/2 What is the second smallest value in 1, -8/43, -0.5? -8/43 Which is the biggest value? (a) 31/2 (b) 3 (c) -4/3 (d) -1 a Which is the second biggest value? (a) 0.1188 (b) 0.1 (c) 2/3 a Which is the fourth biggest value? (a) 2 (b) -0.07 (c) -0.2 (d) -65 (e) -3 e Which is the biggest value? (a) -42/25 (b) 1/3 (c) 0 b Which is the third biggest value? (a) -8 (b) -0.015 (c) -9 c Which is the third biggest value? (a) 3/2 (b) -0.3 (c) 5 (d) -3/5 b What is the second smallest value in 0.1, 2.3, 2/11, -3/7, 5? 0.1 Which is the smallest value? (a) -83 (b) -0.2 (c) -1/6 a What is the smallest value in 9, 1/4, -0.3? -0.3 Which is the smallest value? (a) -4 (b) 2/7 (c) -5 (d) -0.5 c Which is the second smallest value? (a) 2 (b) -1 (c) 0 (d) -3 b What is the third smallest value in 8, 0.1, -2/13? 8 What is the second smallest value in -3, 27/2, -2/5, -4? -3 What is the third biggest value in 7/3, 4, -5? -5 Which is the biggest value? (a) -4 (b) -2 (c) -13 (d) -5 b What is the third smallest value in 2/7, -0.2, 2/19? 2/7 Which is the third biggest value? (a) -72 (b) -1/3 (c) -0.2 a What is the third biggest value in -155, 11, -3/2? -155 What is the second biggest value in -0.3, 3/46, -4, -2/13? -2/13 What is the second biggest value in 2/5, -2, -6/11, -154? -6/11 What is the second smallest value in -4, -21.6, 0, -2/7, 0.4? -4 What is the third smallest value in 0.05, -0.1, 1? 1 Which is the fourth smallest value? (a) -1/2 (b) -3 (c) 2/3 (d) 6 d Which is the second biggest value? (a) -5 (b) -0.2 (c) -2/19 b What is the fifth biggest value in 0.3, 3/2, -82, -3/4, 0? -82 Which is the second smallest value? (a) 3 (b) 37 (c) -0.3 a Which is the second smallest value? (a) -14 (b) 2/7 (c) -2 (d) 5 c What is the smallest value in -0.2, -43, 0.3, -11? -43 What is the third biggest value in 0.1, 1/4, 7? 0.1 What is the third biggest value in 0.1, 3, 1, 5? 1 What is the biggest value in -2/3, 0.1, -4/3, -3? 0.1 Which is the third smallest value? (a) -3 (b) 0 (c) -13 b Which is the biggest value? (a) 0.4 (b) 13 (c) -2 b Which is the smallest value? (a) 0.2 (b) 7 (c) 1 a Which is the smallest value? (a) -3 (b) 0.4 (c) -9/5 a Which is the third biggest value? (a) -1115 (b) 0.4 (c) -5 a What is the second smallest value in 2, 3, 49/11? 3 What is the second biggest value in 1, 0.5, -56, 2? 1 Which is the smallest value? (a) -0.07 (b) -0.16 (c) 2/3 b What is the fourth biggest value in 0, 2, -0.5, 3, -15? -0.5 What is the third biggest value in -785, 2/9, 9? -785 Which is the smallest value? (a) 19 (b) -2/5 (c) -2/11 (d) 0 b What is the biggest value in -10, -3, 7? 7 Which is the smallest value? (a) -0.2 (b) 0 (c) -0.6 (d) 10 c Which is the biggest value? (a) -4 (b) -0.02 (c) 6 c What is the third biggest value in 3, 426, 0.5, 0.2, -0.3? 0.5 What is the second biggest value in -2, -15, -3, 1, -3/4? -3/4 Which is the second smallest value? (a) -5 (b) 1.674 (c) -4/9 c Which is the fourth smallest value? (a) -2/41 (b) -51 (c) 0 (d) -1/2 c Which is the smallest value? (a) -2/5 (b) 8 (c) -0.1 a What is the second biggest value in -153, -31, -3/5? -31 What is the fourth biggest value in -2/9, -3/2, 2/35, 0.01? -3/2 Which is the second smallest value? (a) 2 (b) 12/17 (c) -0.2 (d) -26 c What is the second smallest value in 4/19, 4, -16, -2/3? -2/3 What is the second biggest value in 1, 6/97, -3, 3/5? 3/5 What is the third smallest value in 1/3, -2/9, 4/5, 0.5? 0.5 Which is the second biggest value? (a) -17 (b) -0.3 (c) -2/9 b Which is the fourth smallest value? (a) -1/2 (b) 0 (c) -3/5 (d) 29 d Which is the biggest value? (a) -2 (b) -3/4 (c) -11 (d) 1/3 d Which is the third biggest value? (a) 5 (b) 2/13 (c) -1 c Which is the second smallest value? (a) 0.2 (b) -0.3 (c) 234 (d) -3/2 b What is the smallest value in -2/13, -7/37, -0.7? -0.7 What is the third biggest value in -5/63, -0.34, -0.5? -0.5 Which is the fourth smallest value? (a) 1/6 (b) -108 (c) 2/5 (d) 0 c Which is the third smallest value? (a) -2 (b) -4 (c) 4 (d) -145 a Which is the biggest value? (a) 0.1 (b) 0.4 (c) 1 (d) -2 (e) 1/3 c Which is the second biggest value? (a) -2/5 (b) 8 (c) -3/4 a What is the third smallest value in -0.08, 4, 1/4, -0.5? 1/4 Which is the second smallest value? (a) -4 (b) 0.1 (c) -5 (d) 2/7 a Which is the third biggest value? (a) 4 (b) -0.3 (c) 0.7 b Which is the third smallest value? (a) 18/17 (b) -2/5 (c) -5/6 a Which is the third smallest value? (a) -984 (b) -4 (c) -3/4 c What is the third biggest value in -0.2, -89.5, -1/2? -89.5 What is the second smallest value in -2, -99, -3? -3 What is the second smallest value in 2/3, 2/7, 2, 21/2? 2/3 Which is the third biggest value? (a) -0.1 (b) 5/11 (c) -1 (d) 54 (e) 1 b Which is the second biggest value? (a) -1 (b) 3/5 (c) -3 (d) -2 a What is the second biggest value in 0.1, -1/4, 19/3, 1? 1 Which is the third biggest value? (a) -3 (b) -2/5 (c) 67 (d) 4 b Which is the fourth biggest value? (a) 4 (b) 1 (c) 61/4 (d) -0.04 d What is the third smallest value in 1/3, -2/11, -56? 1/3 Which is the smallest value? (a) 0.109 (b) 0.5 (c) -0.9 (d) -0.2 c What is the biggest value in -4, -8/7, -5.1? -8/7 What is the biggest value in 2/9, 3, 0.08, 0.5? 3 What is the biggest value in -24, -1.1, 0.1? 0.1 Which is the smallest value? (a) 4 (b) -88 (c) 0.5 (d) -0.2 b What is the smallest value in 5/2, 0, 1.4? 0 What is the third biggest value in -0.3, -4, 46? -4 Which is the fourth biggest value? (a) 3/95 (b) -5 (c) -2 (d) -1/18 (e) 0.05 c Which is the second biggest value? (a) 5 (b) -32 (c) -2/13 c What is the smallest value in 6, 2/5, -3/5, -4/9? -3/5 What is the second biggest value in -0.5, 3, -1/5, -1, -0.81? -1/5 What is the fourth smallest value in 4, -0.3, -608, -3? 4 Which is the smallest value? (a) -0.1 (b) 13 (c) -1.2 c Which is the biggest value? (a) 1 (b) -4.7 (c) 0.2 (d) -1 a Which is the fourth biggest value? (a) -6 (b) -0.1 (c) 6 (d) 0.3 a What is the second smallest value in 0.2, -27/7, 4? 0.2 What is the third biggest value in -2/3, -1/2, 3, -4, 8? -1/2 What is the third smallest value in -81, 4, -3? 4 Which is the fourth biggest value? (a) 4/9 (b) -1/5 (c) -16 (d) 0.2 c What is the third biggest value in 1/2, -3/4, 3/2, 7, -2? 1/2 Which is the biggest value? (a) 0.3 (b) 858/7 (c) -5 b What is the fourth biggest value in 0.01, 0.4, -2/7, -134? -134 What is the biggest value in 0.03, 3/8, 4/5, -2, 2/3? 4/5 What is the fourth smallest value in 4, 3, -0.4, -1/177? 4 What is the second smallest value in -0.5, 8, 9? 8 Which is the fourth smallest value? (a) -4 (b) 2/13 (c) -17 (d) -0.19 b Which is the second biggest value? (a) -2 (b) -5 (c) -2/11 (d) 57 c Which is the third biggest value? (a) -4 (b) 3 (c) 2/15 (d) 0 d Which is the third biggest value? (a) 0.4 (b) 0.3 (c) 1/4 (d) 2 b Which is the second biggest value? (a) -1 (b) 182 (c) -1/5 (d) 0.3 d What is the smallest value in -1/7, -4, -5, 31? -5 What is the third biggest value in 14, 6, -5? -5 Which is the fourth smallest value? (a) -0.3 (b) -9 (c) -11 (d) 3 d What is the fourth smallest value in 0.05, -2, -64, 3/5? 3/5 Which is the fourth biggest value? (a) 1 (b) 0.2 (c) 2/3 (d) -60 (e) 0.1 e Which is the biggest value? (a) -5 (b) 58 (c) -3/4 (d) -1/6 b What is the second biggest value in -1/2, 6, -5.1, 0.4, -0.2? 0.4 What is the fourth smallest value in 6.8, 0.2, 1/2, 2/7? 6.8 What is
{ "pile_set_name": "DM Mathematics" }
w). -23 Let i(n) be the second derivative of 5*n**3/6 + n**2 - 8*n. Let m be 0 - (4 - 1) - -7. Let z be 1/1 + (1 - m). What is i(z)? -8 Let b(c) = -c**3 - 2*c**2 + 3*c - 3. Let s be ((-12)/(-9))/((-2)/6). Let k be 90/(-8) - 1/s. Let f = k + 8. Calculate b(f). -3 Suppose 10 = -5*h, 3*y - h = 17 + 15. Suppose 2*a + 3*a = b + 22, -a + 5*b - y = 0. Let u(i) = -i**2 + 6*i - 7. What is u(a)? -2 Let o(p) = -p**2 + 8*p + 7. Let v be (-122)/(-14) - (-16)/56. Calculate o(v). -2 Let v(p) = p**3 - p**2 - p - 29. Let u = -365 + 365. Give v(u). -29 Suppose 2*i - 7*i + 30 = 0. Let j(r) be the first derivative of 2*r - 1 + 2*r**2 - 9*r - 4. What is j(i)? 17 Let c be -2 + 3*4/(-6). Let x be (-1 - c)*10/(-6). Let q(h) = 5*h + 1 + 2*h + 1 - h**3 - 3*h**2 - h**2. What is q(x)? -8 Suppose -300 = 2*j + 3*j. Let g be (j/50)/(2/(-5)). Suppose 0 = g*x - 2*v + 23, v + 12 = -5*x - 9. Let y(n) = n**3 + 4*n**2 - 5*n - 6. Determine y(x). -6 Let a(t) = 6*t - 2 + 7*t - 6*t. What is a(1)? 5 Let x(t) = -11*t**2 + 5*t - 3. Let o(p) = 24*p**2 - 11*p + 6. Let n(g) = 6*o(g) + 13*x(g). Give n(6). 27 Let v(b) be the third derivative of 0*b**4 + 0 + 0*b - 11*b**2 - 7/60*b**5 + 1/6*b**3. Give v(1). -6 Let z(o) = 3*o + 4*o + 5*o - 13*o - 6. Determine z(-5). -1 Let n(z) be the first derivative of z**5/60 - z**4/6 - z**3/6 + 5*z**2/2 - 20. Let b(v) be the second derivative of n(v). Determine b(4). -1 Let d(q) be the third derivative of 22*q**2 - 1/60*q**5 + 0 + 1/2*q**3 + 0*q - 1/24*q**4. Calculate d(-3). -3 Let n be (2/3)/(21/(-27) - -1). Suppose -n*k + 2*k - 6 = 0. Let j(m) = 2*m**2 + 8*m - 3. Determine j(k). 21 Let o(l) = 7*l**2 - 25*l + 17 + 25*l - 21*l + 4*l**2. Let j(s) = 4*s**2 - 7*s + 6. Let k(i) = 8*j(i) - 3*o(i). Calculate k(6). 3 Let l(m) be the second derivative of -m**5/20 + 11*m**4/12 - 5*m**3/3 - 2*m**2 + 19*m - 2. Determine l(10). -4 Let y(w) = 5*w**3 + 8*w**2 - 12*w - 4. Let s(x) = x**3 - x**2 - 5*x + 1. Let b(j) = 3*s(j) - y(j). Determine b(-5). -3 Let k(u) be the second derivative of u**4/12 + 4*u**3/3 + 3*u**2/2 + 379*u. What is k(-8)? 3 Let z(i) = -6*i - 4. Let g(m) = 9*m + 5. Let t(u) = -3*g(u) - 4*z(u). Determine t(-4). 13 Suppose -5*o + 2*y - 22 = -o, 0 = 3*o - 5*y + 6. Suppose -36*h - 9 = -39*h. Let n(f) = -14 - h + 27 - 5*f - f**2. What is n(o)? -4 Let i(y) = y. Let x(v) = -v**2 - 10*v - 5. Let s be ((-8)/(-4) + -1)*1. Let r be (2 + 0)*s/(-2). Let u(w) = r*x(w) - 2*i(w). Determine u(-6). -7 Let r(i) = i**3 - 3*i**2 + i. Let k be (-15 + 16)*2/(-2). Let p be 2 + (-4 - -10)/k. Let a be p + 0 + (0 - -7). Calculate r(a). 3 Let n(p) = p**3 + 3*p**2 + p + 5. Let s be 52/10 - (-4)/(-20). Suppose l = s*l - 12. Let i be (l + 0)/(6/(-8)). Give n(i). -15 Suppose 2*z - 3*w + 6*w + 3 = 0, 0 = 4*z - 4*w - 24. Suppose -z*s + 37 = -23. Suppose -3*n = s - 2. Let d(b) = -b + 2. Give d(n). 8 Let p(m) = -m**2 + 8*m + 10. Suppose 2*l + 2*s = 8, -4*s - 10 = l - 2. Determine p(l). 10 Suppose -44 = x + 4*j, -3*j - 52 = 3*x - 7*j. Let r be -2*3/x*-4. Let t(i) = 1. Let u(g) = -3*g + 5. Let k(y) = 4*t(y) - u(y). What is k(r)? -4 Let w(s) = -5*s**2 - s + 1. Suppose 7 = 7*h - 0. Determine w(h). -5 Let k(h) = 14*h + 12. Let w(m) = -6*m - 4. Let d(x) = -6*k(x) - 15*w(x). What is d(7)? 30 Let h(i) = 13*i**2 + 22*i - 10. Let l(w) = 24*w**2 + 42*w - 20. Let v(f) = -11*h(f) + 6*l(f). What is v(-8)? -26 Let u(z) be the third derivative of z**4/12 + 2*z**3 - 129*z**2. What is u(-5)? 2 Let n = 67 + -53. Let z(d) = -2*d + 18. Give z(n). -10 Let t(j) = -5*j**2 - 7*j - 4. Let m(r) = -r**2 - 2. Let y(d) = -4*m(d) + t(d). What is y(-7)? 4 Let a(o) be the second derivative of o**5/4 - o**4/12 + o**3/6 + 7*o. Let l = 14 + -12. Suppose -2 = -4*q + 2*f, -3*f - l + 4 = -q. Calculate a(q). 5 Let d(a) = 15*a**2 + a + 4. Let k(m) = 43*m**2 + 3*m + 10. Let z(y) = 17*d(y) - 6*k(y). Determine z(2). -6 Let n(z) = -z**3 - 7*z**2 + 7*z - 16. Suppose -3*b + 16 = -5*b. Let y be n(b). Let x(s) = s**2 + 9*s + 9. What is x(y)? 1 Let s(a) be the second derivative of 3*a**3/2 + a**2/2 + 255*a. Determine s(2). 19 Let t(o) be the third derivative of -o**6/120 - 3*o**5/20 - 5*o**4/8 - 7*o**3/3 + 252*o**2. Give t(-7). -7 Suppose -2*h = -3*h + 10. Let m(s) = 1 - 12*s + 7*s + h*s. Give m(2). 11 Let f(b) = -4 - 5*b**2 - 5*b**2 - 4*b + 2 - 12*b**2 + 23*b**2. What is f(4)? -2 Let o(g) = -1 + 3 + 0 + g + 0 + 15. What is o(-11)? 6 Let z(k) = -k**3 + 7*k**2 + 6*k + 9. Suppose 16 = -90*m + 92*m. Calculate z(m). -7 Let g(w) = -23*w**2 + 12*w**2 + w - 4*w**2. Calculate g(1). -14 Let l(p) be the first derivative of p**4/4 + 4*p**3/3 - 4*p - 1. Let a be (-8)/6*(-9)/6. Let d be 91/(-28) - a*3/(-24). Determine l(d). 5 Let u be 1*3/(12/4). Let b(r) = -r**2 + 4 - 2 + r - u. Suppose -2*p - 4 = 4*x - 7*p, -4*p = -5*x + 4. Give b(x). -11 Let s(r) = r**2 - 4*r + 6. Let q be 12/11*176/32. Give s(q). 18 Let b(h) be the third derivative of h**4/24 + 3*h**3 - 40*h**2 + 11. Give b(-18). 0 Let g = -614 + 608. Let t(q) = -q**2 - 6*q - 2. Give t(g). -2 Let o be (1 + -1)/(-2) + 24 + 1. Let m be 15/(-2) + 1 + o/(-50). Let g(k) = -k**3 - 6*k**2 + 5*k - 1. What is g(m)? 13 Suppose 2*u = 3*p + 5, u = -u + 4*p + 4. Suppose -z = m - 10 + u, -14 = -3*m - 2*z. Let k(h) = 0*h - 4*h**m + 9*h**2 + 1 + 3*h - 4*h. Give k(1). 5 Let i(c) = -c**2 - 2*c - 2. Let q = 15 + -18. Calculate i(q). -5 Let d(p) = p**3 + p**2 - p - 1. Let n(l) = l**2 + 2*l - 11. Let i be n(-5). Let j(q) = 5*q**3 + 4*q**2 - 5*q - 9. Let r(y) = i*d(y) - j(y). Calculate r(0). 5 Let g = -23 + 23. Suppose g = -4*z + z - 12. Let q(w) = w**3 - 2 + 5*w**2 + 5*w + 6 + 2. Give q(z). 2 Let y(b) = -2*b - 1. Let n = -917 - -912. Determine y(n). 9 Let z(n) = -6*n + 15*n - 13*n**2 + 12*n - 4*n - 9. Let s(c) = 6*c**2 - 8*c + 4. Let w(g) = 9*s(g) + 4*z(g). Suppose 0 = -7*t + 10*t - 9. What is w(t)? 6 Let m(g) = -g**2 - g + 37. Suppose -2*t = 64*t. What is m(t)? 37 Let d(m) = 3 - 7*m - m**2 + 0*m - m + 0*m. Suppose 3*o = -5*i - 47, 4*i + 22 = 6. Calculate d(o). -6 Let t(v) = v**3 + v**2 - 3*v + 3. Suppose 72*h - 79*h = 21. Give t(h). -6 Let b(x) = -4*x**3 - 3*x**2 + x - 2. Let t(f) = -3*f**3 - 4*f**2 + 2*f - 2. Let h(g) = -2*b(g) + 3*t(g). What is h(-5)? -47 Let q(a) = a + 1. Let z(v) = -16 + 15 + 6*v - 4*v - 3*v. Let g(c) = -2*q(c) + z(c). What is g(-2)? 3 Let d = -9 + 13. Let t be (-121)/(-44) - (-5)/d. Let c(m) be the first derivative of m**4/4 - 4*m**3/3 - m**2/2 - 6. What is c(t)? -4 Suppose 51*x - 40*x - 66 = 0. Let j(k) = k - 6. Determine j(x). 0 Suppose 7*g - 4*g - 60 = 0. Let v = g + -20. Let r(p) = p**3 - 5 + 3 - 3 + 5*p**2 + v. What is r(-4)? 11 Let z(c) be the third derivative of c**4/8 - 5*c**3/6 + 2*c**2. Suppose 3*w = -2*q - 40, -45 - 5 = 3*q + 2*w. Let i = -9 - q. What is z(i)? 10 Let f(d) = 2*d**2 + 12 - 1 - d - 13. What is f(0)? -2 Let l(s) = s**3 + 7*s**2 + 4*s - 2. Let i be l(-6). Let x be 34/i - 6/15. Let y(p) be the second derivative of p**4/12 - 3*p**2/2 + 4*p. Calculate y(x). 6 Let w(k) = k**3 + 4*k**2 + 2*k - 1. Suppose -7*g = 8*g + 30. Determine w(g). 3 Let w be (32/(-40))/(1/5). Suppose 5*d - r = -2*r + 3, -9 = 5*d - 3*r. Let a = d + w. Let o(z) = -z - 3. Give o(a). 1 Let p(b) = b**2 + 9*b + 2. Let n be p(-9). Let c(l) = -2*l**2 - 2*l - 3 + 5*l - 3 + 3*l**n. Give c(-5). 4 Let m be 0 + 0 - (13 - 18). Suppose -y + 7 + 0 = -3*r, -m*r - 33 = -3*y. Let t = 21 - y. Let k(x) = -x**2 + 7*x - 2. Give k(t). 8 Let p(b) = b**3 + 2*b**2 + 3*b + 2. Let u(l) = l + 1. Suppose i - 2 + 86 = 0. Let m be (-2)/(-7) - (-276)/i. Let g be u(m). Determine p(g). -4 Suppose -16*k - 4*t + 36 = -20*k, -3*k = t + 15. Let u(g) = -g**2 + 2*g + 5. What is u(k)? -43 Suppose 12 = 3*g + 3*l, 0*g - 2*g - 3*l + 9 = 0. Suppose 8*f - 5*f = g. Let s be 0 + (6 - 3) + f. Let z(n) = 3*n - 5. Determine z(s). 7 Let u(r) be the second derivative of -7/2*r**2 + 0 + 1/20*r**5 + 5/12*r**4 + 16*r - 1/3*r**3. Calculate u(-5). 3 Let u(j) = j**3 - 9*j**2 + 13. Suppose 252 = 19*y - 7*y. Let a be ((y/(-14))/(-1))/(1/6). Determine u(a). 13 Let r(f) be the second derivative of f**4/12 - 5*f**3/6 - 7*f**2/2 - f. Let v be (-3)/2 - 360/(-48). What is r(v)? -1 Let x(p) be the second derivative of -p**4/12 - 5*p**3/3 - 25*p**2/2 + 704*p. Calculate x(-5). 0 Let w(p) = -2*p**3 - 6*p**2 + 1. Suppose -a - 5*v = 28, 2*a + 5*v - 15 = -46. Let l be w(a). L
{ "pile_set_name": "DM Mathematics" }
9 - 5. Let r be c(v). Let n = 513 - 515. Is r < n? False Let w = -7260915/1352 - -10741/2. Is w > 0? True Let d = 1120/3149 + 56/67. Which is smaller: 3 or d? d Let r = 128/225 - -17/225. Let j = -1/45 - r. Which is greater: 2/21 or j? 2/21 Let b(i) = -2*i**2 - 80*i + 530. Let w be b(6). Is w at most -387/17? False Suppose -4*v + 2 = -3*v. Let w = 2160539/7 - 308646. Which is bigger: v or w? w Let l = -1096377993894/506851879 + 3/9563243. Let n = -2163 - l. Does n = 0? False Suppose -16*o - 21 = -23*o. Let s be (-22)/(-33) + 2/o. Which is bigger: s or 14? 14 Let f be (-2)/(-19) + 84/(-76). Which is bigger: 44/323 or f? 44/323 Suppose -47 = -22*n - 839. Which is greater: 25 or n? 25 Let v be -1 + ((-14)/4 - -4). Suppose -2*j - u = 21 - 123, -3*u + 18 = 0. Are v and j unequal? True Suppose 8*a + 2*x = 3*a - 5939, -9488 = 8*a - 4*x. Is -1189 greater than or equal to a? False Let i = -4962 - -4946. Is -460/31 != i? True Let g = -602 + 1537. Let f be (-197)/g - (-1)/5. Do f and 1 have the same value? False Suppose 0 = -0*f + 4*f + 5*v - 28, -v = -4. Suppose -3*b = 2*s - 7*s - 540, -f*s = -3*b + 225. Is s less than -104? True Let m = -1173 - -71551/61. Suppose 4*x = 2*q - 7 + 1, 0 = -x + 5. Suppose 5*r = -3*v + q, -4*v - 2 = 2*r - 5*r. Is m greater than v? False Let t(a) = -a**3 + 10*a**2 + 41*a - 26. Let u be t(13). Suppose -l - 8 = -4*z - 3*l, l - 6 = -4*z. Let v be (8/(-204))/(1*1/z). Which is greater: u or v? u Let h = -9723 - -9728. Which is smaller: h or -1581? -1581 Let j(d) = -301*d + 23. Let l be j(-26). Let a = 1216591/155 - l. Which is bigger: a or -1? a Let k = 3472 + -3471. Do 1/234 and k have the same value? False Let q = 31.6 + -221.6. Let l = q + 190.04. Do l and 8 have the same value? False Let v(s) = -4*s**2 - 95*s - 322. Let u be v(-19). Is u >= 26? True Let k = -466289140/897 + 519832. Let u = -2/69 + k. Is 0 not equal to u? True Let n = -98 + 165. Suppose -2*j = 5*f - 182, -5*f + 6 - n = -j. Let p be 336/495 - 9/(j/6). Is p not equal to -1? True Let v = -77250 - -77001.0144. Let o = v - 0.0144. Let g = 177 + o. Which is bigger: -2/3 or g? -2/3 Let k = 37119 - 37689. Which is greater: -23 or k? -23 Suppose d - 2*g = -4*d + 86, 0 = 3*d - 2*g - 54. Let h(o) = -7*o + 56. Let u be h(6). Which is smaller: u or d? u Suppose 3*i = 2*o + 2*o - 3, 4 = -2*o - 4*i. Let g be (642/4 - o)*20/(-15). Let w be g/602 - (1 + 9/(-7)). Which is bigger: w or 0? 0 Let o = 3 - 5. Let i = -17691/5 - -3521. Let z = i + 461/30. Do o and z have the same value? False Let q = -2215.694 - -2216. Which is smaller: 3 or q? q Suppose -2*v = 1 + 5, 4*w + 5*v + 375 = 0. Let i = -85 - w. Suppose l - i*l = -40. Is 10 at least l? True Let t(j) = j**3 + j**2 - 5*j - 2. Let p be t(2). Let z be (-20)/10 - (p/(-2) + 131). Let u be (-3)/(0 + -2 + (-228)/z). Which is smaller: u or 11? u Let y = -131 + 107. Suppose 0 = q + p + 20, -q + 2*q - p + 16 = 0. Are y and q nonequal? True Let s be (9/(-62 + 8) + (-33058)/84)*-1. Is s >= 394? False Let q = -0.8 - -0.7. Let x = -30.77 - 4.23. Is x >= q? False Let h(a) = a**3 + 9*a**2 - 18*a - 85. Let g be h(13). Which is smaller: 3396 or g? 3396 Suppose 0 = -27*j + 14174 - 52622. Which is smaller: -1425 or j? -1425 Let a = -77419/1242 + 1/1242. Are -0.1 and a equal? False Let y = 21985/6549 - 124/37. Suppose 3 = -2*d - d. Which is bigger: d or y? y Let t = 1210045916/99 + -12222994. Let b = -308 - t. Which is smaller: b or -1? -1 Let k = -111 - -150. Let o be 4 - (-280)/(-2712)*k. Which is bigger: o or -1? o Let h = 34046 - 33991.78. Is -2/3 at most as big as h? True Let o = 5387737/6 + -895813. Which is smaller: 2142 or o? 2142 Let g = -0.12615 - -0.13. Let m = g - 34.07385. Let i = m + 34. Is -5 less than i? True Suppose m + 4*m = -d + 56, d - 56 = -3*m. Suppose 20 - d = -6*t. Suppose -5*g = -8*g + t*g. Is g > 9? False Let t = 33.09 - 2.19. Let y = 26.9 - t. Let p be 8 + 0/2 - -1. Which is smaller: p or y? y Let f = 2158 + -10793/5. Which is smaller: -54 or f? -54 Let p = 6/37 + -152/481. Suppose 3*m - 4*u + 0*u + 2 = 0, 5*u = -3*m - 11. Let l be (-14)/63 - (-1)/(-9)*m. Does l = p? False Let n(s) be the second derivative of -s**4/12 - s**3/3 + 9*s**2/2 - 6*s. Let v be n(-7). Suppose 16*j = t + 17*j + 29, 8 = -4*j. Which is smaller: t or v? t Let s = -736 - -751. Let m = 14.7 - 0.7. Let d = s - m. Which is smaller: d or -34? -34 Suppose 3*j + 14 = 2*k, 5*k - 15 - 3 = -j. Let i(w) = -2*w**3 - 9*w**2 - 2*w - 6. Let m be i(-6). Let s be m/(-60) + 4/10. Does j = s? False Let a(j) = -j**3 + 6*j**2 - 3*j - 4. Let s be a(5). Suppose -3*h - 370 = -2044. Let r = 560 - h. Is r equal to s? False Suppose 2*p + 185 = c + 2*c, -2*c + 136 = 5*p. Let a = -19 + 81. Let j = a - c. Which is greater: -7/20 or j? -7/20 Let n = 3375 - 3441. Let w = 16 + -46/3. Is n at least as big as w? False Let m(w) = -17*w + 14. Let y be m(-4). Let v = -82 + y. Suppose 10 + 2 = 3*p. Which is bigger: v or p? p Suppose 6 = 2*y - 4*u, -2*y + u = 5 + 1. Let s be -188 + (8 - 18/9). Let b be ((-156)/s)/(2/(-14)). Which is smaller: b or y? b Let f(a) = 4*a**2 + 34*a - 754. Let w be f(15). Is w bigger than 656? False Let u = 12209 - 12237. Which is smaller: -89 or u? -89 Let l be (-10)/(-165) - 8241/396. Are -21 and l unequal? True Let b = 22.725 - -0.275. Which is smaller: b or 2? 2 Suppose 23*c - 35*c = -2208. Let l be -1*2 + (-23)/(c/16). Is -37/12 >= l? True Let u = 1650/13 - 3208/39. Let m = 7767 - 7723. Is m less than or equal to u? True Suppose 2 + 8 = -3*n + 5*o, -4*n = -3*o + 6. Let v be (-46)/(-2) - (-3 + 6). Let k be (24/(-440))/((-18)/v). Which is bigger: k or n? k Suppose -7*d - 231 = -9*d + b, 3*d = -4*b + 319. Let h be 1116/10 - 10/(-25). Which is smaller: h or d? h Suppose 30 + 28 = -2*f. Let d(h) = -2*h**3 - 57*h**2 + 29*h + 14. Let k be d(f). Let q(y) = 15*y**2 - y - 1. Let m be q(-1). Which is smaller: k or m? k Let z = 0.2 - 0.2. Let b = 0.91 - -1561.09. Let g = -1561.933 + b. Is z != g? True Let j = -15 - 411. Let b = -428 - j. Which is smaller: 6 or b? b Let g(x) = -x**2 - 7*x + 4. Let s be g(-6). Let y(m) = m**3 - 16*m**2 + 19*m + 21. Let i be y(14). Let v = -97 - i. Is s greater than or equal to v? True Let k = 384 - 643. Let q = k + 250. Is q greater than or equal to 1.7? False Let o = -0.18 + 0.55. Let l = -0.87 + o. Let n = l - -0.71. Is 0 greater than n? False Suppose 0 = 4*d + 6*v - 4*v + 188, d + 50 = -2*v. Which is greater: 13 or d? 13 Suppose -2 = -2*v - 5*n - 7, -5*v + 2 = -2*n. Let i = 8 + v. Suppose 3*l + 4 = q - 4, 0 = -2*l - i. Is q at most -5? False Let f = 6 + -6.3. Let m = -0.4 - f. Let d = 13739.6 + -13689.6. Which is smaller: d or m? m Suppose -106 - 218 = 38*q - 96. Which is bigger: -163/29 or q? -163/29 Let k(i) be the second derivative of i**5/120 + i**4/2 - 2*i**3 + 30*i. Let m(l) be the second derivative of k(l). Let j be m(11). Which is smaller: -0.2 or j? -0.2 Suppose -p - 13607 = -4*o + 1175, 3*o - 11103 = -2*p. Do o and 3694 have the same value? False Suppose 0 = 962*j - 953*j - 6678. Is 743 equal to j? False Let g = -5.46 + -74.44. Let r = 6.9 + g. Let s = r + 72.9. Is s < -9? False Let s = -2360 + 2359.34. Is s less than 6? True Suppose 461 = 7*i + 69. Suppose 7*f - 35*f = -i. Let x be 18/10 + 4/4. Which is smaller: f or x? f Let r be (6 + 0)/(150/250). Let g be (91/7 - r) + -4. Let p be 1/((-5)/(-1)) - 0. Which is bigger: p or g? p Let u = -76 + 78. Suppose 50 - 12 = -u*s. Let i be (1 - 5*4) + -1. Which is bigger: s or i? s Let s be (-1675)/20*7/((-315)/558). Which is bigger: s or 1038? s Let k be (-2)/9 + 146/252. Let y(f) = 2*f + 75. Let s be y(-37). Let m be 3*(s + (-32)/24). Is k bigger than m? True Suppose -4 = -4*b - 3*x, 2*b - x = -0*b + 12. Suppose 185 = b*f + k - 101, -208 = -3*f - 4*k. Let v = 53 - f. Which is greater: v or -17? -17 Let a = -642/973 + 13868/248115. Let s = a - -8/17. Which is smaller: -6 or s? -6 Let w = 15 + 0. Let b(d) = -14 + w*d - d**2 + 5 - 4*d + 0. Let q be b(9). Do q and -0.1 have the same value? False Let v = 22.9 - 22.45. Let l = 0.85 - v. Let w = 0 + -2. Which is greater: w or l? l Let u = 4232/261 - 470/29. Suppose 26*i - 22*i = -4. Which is smaller: i or u? i Let w = -50 + 51. Suppose -13 = 2*z - 3. Let n be (3 - w)*((-12)/3 - z). Which is smaller: 0.3 or n? 0.3 Suppose b - 23*c =
{ "pile_set_name": "DM Mathematics" }
ve 8*x - s = 3*x for x. 3 Let h = -663 + 825. Solve -22*l + 49*l = h for l. 6 Let p be -27 + 30 + 1/1. Suppose -p*j + 5*w + 13 = 0, -22*j + 20*j - 5*w = 1. Solve 0 = -3*v + 8 - j for v. 2 Suppose t - 286 = 2*m, m = 4*m - 9. Let c = t + -261. Solve -5*i - c = -6 for i. -5 Let b(f) = 6*f + 57. Let r(g) = -g**2 + 4*g. Let h be r(7). Let k = 12 + h. Let y be b(k). Solve -y*m = -m for m. 0 Suppose 149*m - 54*m = 39*m + 46*m. Suppose -2*j + 0*j + 24 = 0. Solve m*l + 4*l = j for l. 3 Let i be -25 - -22 - (0 + 0). Let n be i/((-6)/450*5). Solve -2*v = 7*v - n for v. 5 Let z be -3 + 1 - (2 + 3)*-1. Suppose 20 = l - 4*n - 0*n, 3*n - 135 = -z*l. Suppose 3*o - 11*o + l = 0. Solve -3*d + o = -7 for d. 4 Let b = 277 - 215. Let l = b - 58. Solve -9*v = -5*v + l for v. -1 Let q = -31791 - -31819. Solve q*z + 32 = 20*z for z. -4 Suppose 0*u + 2*i + 11 = 5*u, -5*u - i + 2 = 0. Let y(c) = c**3 + 7*c**2 - c - 5. Let a be y(-7). Suppose -40 + 36 = -a*m. Solve -t - u = m for t. -3 Let v = -52 - -54. Let y be ((-35)/(-15))/(70/60). Suppose 3 = 4*u - 9. Solve -v*m - y = -u*m for m. 2 Let b = -177 + 180. Let y(c) = 13*c - 39. Let a be y(b). Let n be 2*22/4 + -2. Solve -r - n + 7 = a for r. -2 Let i = -9188 + 9190. Solve 7*c + i = 5*c for c. -1 Let x be ((-4)/1 + 3)/((-6)/702). Suppose -x - 3 = -6*z. Solve -2*a = -7*a + z for a. 4 Let n(g) = -5*g + 80. Let l be n(10). Suppose 36*m - l*m - 42 = 0. Solve m*a - 30 = a for a. 5 Suppose 2*f + 4*f = 42. Suppose -r + 4*m + 10 = 0, -10*r + f*r + 3*m + 12 = 0. Solve -2 + 6 = -r*u for u. -2 Suppose 0 = -12*z + 20*z - 176. Solve 12*k = k - z for k. -2 Let m(g) = -g**3 - 6*g**2 - 7*g + 5. Let d be m(-4). Let i be (30/105 - (-52)/14)/d. Solve -6 + 2 = -i*t for t. 1 Let k be (-2)/8 + 3/12. Let z(m) = 11 - 3*m + 0*m**3 + 9*m**3 - 8*m**3 + 4*m**2. Let q be z(-5). Solve k = 3*p - q + 10 for p. -3 Suppose -2*r - 17 + 41 = 0. Suppose -3*q = -r - 6. Let l be (q/24)/1 - 35/(-4). Solve 0 = -6*f + l*f for f. 0 Suppose -34*x - 27*x = 92*x - 2142. Solve 0 = x*p - 11*p for p. 0 Suppose -17*m = -8*m + 756. Let p = 234 + -150. Let y = p + m. Solve y + 6 = 3*t for t. 2 Let a be 17 + (-36)/(-11 + -1). Solve 2*u + 3*u = a for u. 4 Let n be (-175)/(-10) + 5/2. Let b be 84/20 + -4 - 4/n. Solve -3 + b = -l for l. 3 Let v(d) = -9*d + 7. Let r(j) = -j**2 + j - 1. Let f(t) = -2*r(t) - v(t). Let p be f(-5). Solve p*h + 3 = 13*h for h. 1 Let a = -328 - -331. Suppose h - a*j = -0*h + 4, -h - j = -4. Solve h*w + 32 - 20 = 0 for w. -3 Suppose 65 = 3*b - 3*x - 160, -b - 4*x = -95. Solve -b*s = -75*s + 16 for s. -4 Suppose d = -469*y + 470*y + 17, -4*y - 44 = -2*d. Solve d*i = -36*i - 192 for i. -4 Let y(d) = -2*d**3 - 2*d**2 + 2*d + 1. Let z be y(-2). Suppose -3*x + z*x - 4 = 0. Let g be x/9 + 100/36 + 1. Solve -2 = -g*l + 6 for l. 2 Suppose -o + 30 - 21 = 0, c + 34*o = 361. Solve -48*p = c + 281 for p. -7 Suppose 22*k = 17*k. Solve 614*m - 610*m - 4 = k for m. 1 Let p(o) = o**3 - 9*o**2 + 12*o - 27. Let n be p(8). Suppose 4*g + 3 + 17 = 0. Let m = g + 9. Solve m*z = n - 25 for z. -5 Let f(o) = 104*o**3 + 2*o**2 - 8*o + 7. Let a be f(1). Solve 8*n = -13*n - a for n. -5 Suppose -3204 = -25*x + 7*x. Solve -20 = x*u - 174*u for u. -5 Let b(s) be the second derivative of -s**4/4 + 8*s**3 + 5*s**2/2 - 37*s. Let x be b(16). Solve x*k - 12 = -k for k. 2 Suppose -2*p - 5*d - 604 + 618 = 0, 4*p - d - 6 = 0. Solve -p*c + 120 = -32*c for c. -4 Suppose -y = -3*l + 8, 4*y - 1 = -4*l - 17. Let z be 194/4 - 3 - l/(-2). Suppose 8*t - z + 14 = 0. Solve -s + 9 = -t*s for s. -3 Let r(s) = 5*s**2 + 16*s - 2. Suppose -5*y + 20 = x - 3*x, -12 = -3*y. Suppose x = -4*n + 6*n + 4, 14 = -5*j + 3*n. Let f be r(j). Solve -f + 2 = 4*u for u. -3 Let x = -540 - -542. Suppose x*y + 6 = 3*o - 28, 0 = y - 1. Solve 2*u + o = -u for u. -4 Suppose 6 = 2*j - 2*d, 21*d = -2*j + 17*d + 36. Solve j = 12*a - 16*a for a. -2 Let l = 364 - 364. Suppose j + j = f + 121, 2*f + 6 = l. Solve 60*q - 1 = j*q for q. 1 Suppose -82 + 202 = 20*z. Solve -931 + 937 = -z*h for h. -1 Let s = -82772 - -82774. Suppose 2*z + 3*z = 0. Solve z = -9*m + 7*m + s for m. 1 Let q = 21903 - 21883. Solve 36*d - q*d = 48 for d. 3 Let g = 618355 + -618337. Suppose 2*j - 4*m - 15 = 17, -5*j = -4*m - 50. Solve -4*c + j - g = 0 for c. -3 Let f = 2992 - 2121. Solve 0 = f*l - 878*l - 28 for l. -4 Let h(z) = -14*z - 36. Let v be h(-4). Solve 5*l - v*l = 3*l for l. 0 Suppose 5*a + 10 = 0, a - 78 = -2*f - 2*f. Suppose -7*n = -11*n + f. Solve n*i + 2 = 17 for i. 3 Suppose 0 = -2127*h + 2114*h + 26 + 2028. Solve -122 = -6*j - h for j. -6 Suppose -5*h = 5*s - 1340, 5*h - 7*s = -5*s + 1284. Solve 12 = h*v - 258*v for v. 6 Let u(h) = -17*h + 190. Let c(r) = -2*r**2 - 15*r + 19. Let g be c(-8). Let q be u(g). Solve -q*k + 2 - 5 = 0 for k. -1 Let d be 0 - ((-36)/4 + -4). Suppose -4*f + 5*g + 20 = -d, 3*f + 2*g + 4 = 0. Let x(j) = -10*j + 152. Let i be x(15). Solve i*s = -f*s for s. 0 Let w be (-3087)/(-98)*(-3 + 9). Solve 3*v - 201 = -w for v. 4 Let j = 8 - 28. Let o = 36 + j. Solve 5*u - 9*u + o = 0 for u. 4 Suppose -2*d = -4*o - 44, -5*d + 1441*o = 1437*o - 68. Let k be (2 + 0 + -3)*0. Solve 2*l = -k*l + d for l. 4 Let q be ((12 - (-95)/5) + 7)/(4/22). Solve 212*f + 24 = q*f for f. -8 Suppose 3*c = 6*c. Suppose -3*j + c*j + 84 = 0. Let f be ((-8)/j)/((-12)/42). Solve 0 = 2*l - 9 - f for l. 5 Let f(i) = -4*i + 5. Suppose 10 = -2*r + 2. Let g be f(r). Suppose c - 21 = -4*a, -5*c - 11 = -4*a + 4. Solve -a*z + g = 1 for z. 4 Let d(m) = 2*m + 66. Let p be d(-30). Suppose -b + 2*b + x = p, 3*b + 2*x - 13 = 0. Suppose 5*g - 6*g = 4*k - 14, b = -g + k. Solve 0*u = g*u - 4 for u. 2 Suppose 4*r + 5*k = 18, -2*k - 2 = -6. Let i be r - (-1)/1 - -3. Let j = 2 - 2. Solve 4*l + 2 + i = j for l. -2 Let y be 21*((-4 - 1) + 6). Suppose 4*j - 33 + y = 0. Solve -4*l + j*l = 3 for l. -3 Suppose -19*k + 17*k = 3*j - 31, -3*j - 3*k = -27. Solve -31*c = -j*c + 36 for c. -2 Let j = -51 + 53. Suppose 5*s + 123 = 33. Let q be (-48)/(-5) - s/45. Solve -3*m = j*m - q for m. 2 Let p = -330 - -335. Suppose 4*q + 2*o = 60, 7*q - 22 = p*q + 3*o. Solve -5*m + q = -12*m for m. -2 Let y be 9/12 + 185/20. Let a be 31/5 + (-96)/(-120). Solve -a*m = -12*m - y for m. -2 Let w be 672/(-210)*(-30)/4. Suppose 4*n - 28 = -w. Solve -3*d = 8 + n for d. -3 Let n = -17790 + 17874. Solve -37*h + 25*h = n for h. -7 Let m = -12 - -22. Suppose 80 = 14*i - 18*i. Let h be 4 - 30/i*4/(-3). Solve -h*l = -4*l + m for l. 5 Let q = 7858 - 7840. Solve 515*t - 506*t = -q for t. -2 Suppose h + 94 = 6*h + 3*o, -o - 22 = -h. Suppose -464*a + 308 = -450*a. Suppose 7 = -3*v - a*x + 18*x, 5*x + 20 = 0. Solve d + v*d = -h for d. -5 Let n(p) = -3*p**2 + p**3 + 25 - 3*p**2 - p**2 - 11*p - 2*p**2. Let z be n(10). Suppose 0 = d + 9 - z. Solve -4*i + d = -2*i for i. 3 Let r be (-2)/20 + 6321/210. Suppose r = -3*t + 6*t. Suppose -t = 3*x - 8*x. Solve 4*p + 6 = x*p for p. -3 Let i be -1 + (-16)/4 - 225/(-9). Let c be (6 - -4)*12/i. Solve 16 = 10*l - c*l for l. 4 Let a = -8954 + 8968. Solve -4 = -a*y + 13*y for y. 4 Let r be -3 - 1 - (2 - 12). Let s(p) = p**2 + 16*p + 16. Let h be s(-15). Solve -r*o - 17 = h for o. -3 Suppose 0 = 91*m - 85*m - 78. Suppose -c + 12 = 2*o, 46*c - m = -3*o + 42*c. Solve o*k - 9*k - 6 = 0 for k. -3 Suppose 3*t = 28 - 13. Suppose -47 = -2*p + t*w, 4*p = 4*w - 7*w + 159. Suppose -30 + p = 3*y. Solve y*c - 2 = 6 for c. 4 Suppose 785*f - w = 784*f + 8, -f - 4 = 3*w. Solve -368 = f*h - 393 for h. 5 Let m = 2912 - 2794. Solve -22*t = -8 + m for t. -5 Suppose 4*l - 15 + 31 = 0. Let n(o) = o**3 + 7*o**2 + 8*o. Let h be n(l). Suppose 0 = 3*v - 28 + h. Solve -1 = 3*y - v for y. 1 Let m(w) = -w**3 + 8*w**2 - 12*w. Let l be m(6). Suppose -3*s - r + 27 = 0, 2*s - 4*r - 29 = -r. Solve -3*y - 1 + s = l for y. 3 Let t = -5177 + 5187. Solve -41 - 19 = t*c for c. -6 Let t(o) = 0 - 8*o + 11 - 21 - 22 - 24. Let v be t(-7). Solve -f - 2 = -v for f. -2 Suppose -16*y = 9 - 57. Suppose 0*v + y*h + 18 = 2*v, 3*h = 3*v - 21. Solve v*i - 16 + 1 = 0 for i. 5 Let c(m) = -4 + 5 + 2 - 3*m**2 - 22*m + 12. Let g be c(-8). Let t be 0*4/(-12)*(-1)/g. Solve -5*q + 0 + 20 = t for q. 4 Let a = -106 - -114. Suppose 23 = -a*w + 87. Solve 3 = 5*k + w for k. -1 Let v(s) = -40*s + 1522. Let b be v(37). Solve 37*j - b = 43*j for
{ "pile_set_name": "DM Mathematics" }
4. Suppose 2*n + i - 2 = 0, i - 5 = n + 3*i. Let h(d) = d**2 + 3*d - 2. Let z be h(-4). Sort n, z, -1, t in descending order. n, z, -1, t Let m = -4.1 - -5. Let k = -25.538 - -25.438. Put k, m, -1 in increasing order. -1, k, m Let i(s) = -s**3 - 8*s**2 - 8*s - 1. Suppose 23 + 61 = -12*l. Let c be i(l). Put 0.3, 0, c, 5 in descending order. c, 5, 0.3, 0 Suppose -m - 4*g + 6 = 0, -5*m - 9 = 4*g - 23. Suppose -6*l - 34 = m. Sort l, 39, -3. l, -3, 39 Let j = 0.34 - 1.43. Let m = -841 + 846.09. Let x = m + j. Put -2, -1/7, x in ascending order. -2, -1/7, x Suppose 13*h - 6314 = 2*h. Let o = h + -576. Sort 1, -128, o in decreasing order. 1, o, -128 Suppose -l = -z + 5*z, 0 = -2*l - 3*z - 5. Let m = -119 + 98. Let d = -22 - m. Put d, l, 2 in ascending order. l, d, 2 Suppose -5*n - 26*z + 3766 = -25*z, -757 = -n - 4*z. Put -1, n, 4 in decreasing order. n, 4, -1 Let v = -1.3403 + -3.6597. Sort 4/3, v, 43, -0.2 in descending order. 43, 4/3, -0.2, v Let r(a) = a + 8. Let k be r(-6). Let o = k + -6. Suppose -5*x - 5 = -25. Put o, x, 3 in increasing order. o, 3, x Suppose -11*g - 34 + 4 = 4*g. Sort -3, -5, g, 3, 0. -5, -3, g, 0, 3 Suppose -24 - 20 + 44 = 23*z. Let f be (2 - 2 - 2) + -3. Sort 4, z, -55, f in descending order. 4, z, f, -55 Suppose 22*c = 42*c - 338 - 242. Put -0.1, c, -1/13 in descending order. c, -1/13, -0.1 Suppose 17*q - 65 = -14. Suppose -r = 4*j + 9, 11 = -3*r + j - q. Sort -0.2, 4, r, -0.17. r, -0.2, -0.17, 4 Let z be ((-3)/(-4))/(12831/18564 + (-1)/(-17)). Sort 22, z, 125, -4 in increasing order. -4, z, 22, 125 Let l be (72/264)/(1326/1122). Let s = -1 + 2. Sort 2, l, s in descending order. 2, s, l Suppose 0 = -9*n + 247 - 256. Put -0.5, n, 102, 0.1, -4 in ascending order. -4, n, -0.5, 0.1, 102 Let w(t) = -t + 3. Let g be w(0). Let r = 242.8 + -57.2. Let f = -180.6 + r. Sort f, g, -3/2, -5. -5, -3/2, g, f Let h be (22/((-528)/56))/(-7). Put h, 0.6, 3, 0 in descending order. 3, 0.6, h, 0 Suppose 1761 = 5*h + 1791. Put 5, 3, 2/15, -5/3, h in descending order. 5, 3, 2/15, -5/3, h Suppose -t - 31*j - 7 = -26*j, 4 = -2*j. Suppose 0 = 5*q + 4 + 1. Put t, 8, q in descending order. 8, t, q Let t = 367 - 248. Let c = -122 + t. Let z = 3 + -4. Sort z, 7, c in descending order. 7, z, c Let l = -0.37 - -0.4. Let k = -36209 + 36212. Sort l, -1, k in decreasing order. k, l, -1 Let l(m) = m**2 - 106*m - 668. Let r be l(-6). Sort 5, -8, r. -8, r, 5 Suppose r = -11*r + 27*r + 45. Sort r, 122, 1 in decreasing order. 122, 1, r Let h = -13741 + 13741. Sort 29, 1, 4, -4, h in decreasing order. 29, 4, 1, h, -4 Let g = -2525 - -2532. Sort -5/2, g, 47.9 in descending order. 47.9, g, -5/2 Let a = -547 - -553. Sort -0.5, 65, a, 2/5. -0.5, 2/5, a, 65 Let j = -971 - -2953/3. Let d = j - 27/2. Let g = 0.41 + -0.01. Put -5, g, 3/2, d in ascending order. -5, d, g, 3/2 Let r = 62915.5 - 62916. Let m = 1437/4 + -362. Put m, r, 0.3, 4 in descending order. 4, 0.3, r, m Suppose -152*c + 11 = -2*g - 155*c, 5*c + 29 = 2*g. Put 4, g, -7, 83, 3 in ascending order. -7, g, 3, 4, 83 Let v = 53 + -43. Suppose 2*r - v = 0, g - 2*g - 2*r = -12. Suppose -22 = 3*b - 2*k, -3*k + 30 = -g*b - 2*b. Put -4, 1/6, b in decreasing order. 1/6, -4, b Suppose -15 - 36 = -5*z + 179. Put 0, z, 3, -19 in increasing order. -19, 0, 3, z Let z(c) = -10*c**3 - 121*c**2 - 14*c - 12. Let x be z(-12). Put -23, x, -1, -5 in increasing order. -23, -5, -1, x Let t = -0.18328 - -0.07328. Put 0.1, -2/7, 1/55, -1, t in descending order. 0.1, 1/55, t, -2/7, -1 Suppose -26 = 24*u + 2*u. Let h be (((-4)/204)/u)/((-1)/6). Sort h, 39, 0.2 in descending order. 39, 0.2, h Suppose j - 2*x + 29 = 2*j, 0 = 5*j - 2*x - 109. Let k = 5817 - 5817. Sort -1, k, j. -1, k, j Let p = -316 + 319. Sort -47, p, 2 in decreasing order. p, 2, -47 Let l = -3.05 + 0.05. Let x be (-80)/75 + -10 - -11. Sort 3, x, l in decreasing order. 3, x, l Let h = -39 + 27. Let z be -4 + (-6)/h*0. Let l = 7 + -7. Put l, -3, z in decreasing order. l, -3, z Let k = -1079.21 - -1079.1. Put k, 20, 2 in decreasing order. 20, 2, k Let j = -49.55 + 51.55. Put 0.014, -3, 0.01, j in decreasing order. j, 0.014, 0.01, -3 Let n = -2.8 - -3. Let m = 0.2 - n. Let g = 3026.2 - 3026. Sort 3, g, m in ascending order. m, g, 3 Let y be ((-2)/(-4))/(-1 - -2). Let n = -32 + 30.7. Let c = n + -0.7. Put -0.2, c, -0.5, y in increasing order. c, -0.5, -0.2, y Let j = -1.4163 - 20.5837. Sort -1/41, -3, -0.5, j in decreasing order. -1/41, -0.5, -3, j Let d be 1/((-1980)/(-615)) + 4/16*-1. Suppose -3*n - 40 = n. Let c be 20/28*8/n. Sort d, c, -0.2, 0.3 in increasing order. c, -0.2, d, 0.3 Let v(f) = 4*f**2 - 421*f + 925. Let j be v(103). Put -0.5, 0.057, j in descending order. 0.057, -0.5, j Let v = 0.1 - -0.3. Let k = 56.566 - 53.566. Sort 0, -2/11, v, k in descending order. k, v, 0, -2/11 Let v = 984394 - 984396. Let n(q) = 4*q**2 - 1. Let k be n(2). Suppose -4*h = -5*h + 5. Sort h, k, v in decreasing order. k, h, v Suppose -u - 26320 = 39*u. Let m = u - -657. Sort 0, m, -28 in ascending order. -28, m, 0 Let b = -3 - -4. Let h(q) = -18*q + 90. Let z = -71 - -76. Let f be h(z). Sort 3, f, -10, b. -10, f, b, 3 Let s = 186.5 + -188.5. Let k = -481 - -10103/21. Sort 2, k, s in increasing order. s, k, 2 Let i = -1326.7 - -1270. Let t = -49.98 + -7.02. Let w = i - t. Sort -6, -0.1, 1, w. -6, -0.1, w, 1 Let h be (-4)/(8 + 4) + (-38)/(-42). Let l be -1*((-38)/(-56) + 4/(-16)). Put h, 0.2, -0.1, l in descending order. h, 0.2, -0.1, l Let a = 77 - 72. Let t = -41 - -48. Let i be (-12)/(-21)*t/2. Sort a, 3, 1, i in increasing order. 1, i, 3, a Let i = -64.22 - -64. Let v = -0.06 + i. Let h = 4.2 + -3.9. Sort v, h, 1. v, h, 1 Let s = 7652 + -7638. Put -30, 2/7, -3, s in increasing order. -30, -3, 2/7, s Suppose 0 = 2*g + 2 - 10. Let f be ((-2)/6)/((-1)/(-3)*1). Suppose 30*q = -76 - 74. Put g, q, f in descending order. g, f, q Suppose -5*y - 377*f + 374*f + 15 = 0, 0 = 4*f. Sort -134, y, -4 in increasing order. -134, -4, y Let o be 104/(-16) + 6 + 1 - (-2988)/8. Put -2, o, 4 in decreasing order. o, 4, -2 Suppose 12*f = 25*f. Sort f, 3, -2, -153 in increasing order. -153, -2, f, 3 Let i = -15008 + 15007.8. Put 4, i, -159, 2/5, -0.1 in increasing order. -159, i, -0.1, 2/5, 4 Let b = -7/1468 - -2985/10276. Sort -1/12, 118, b, -5. -5, -1/12, b, 118 Let i = 1958 - 11749/6. Sort 4, i, 1, -6.4. -6.4, i, 1, 4 Let n(i) be the second derivative of -i**5/20 + i**4/3 - i**3 + 2*i**2 - 115*i. Let r be n(2). Put r, 8, -6 in increasing order. -6, r, 8 Let u be 6/16 - (6 - 969/152). Put 0.1, -18, -0.8, u in decreasing order. u, 0.1, -0.8, -18 Let b = 108 + -104. Suppose 2*w - b = -w - j, w - j + 4 = 0. Let h = w + -3. Put 1, h, 5, 0 in ascending order. h, 0, 1, 5 Suppose -q - 4*o = -22, o + 2*o = -3*q + 21. Let a(g) = 16 - 7 + 4*g + q + 4. Let n be a(-5). Sort 1, 5, n in decreasing order. 5, 1, n Let o(w) = 51*w + 1. Let x be o(2). Let d be (-3 + (-20)/(-6))*(-10353)/34. Let s = d + x. Sort s, -2/5, -0.5. -0.5, -2/5, s Let l be 8/(104/(-65)) - 58*(2 + -3). Put l, -2, 3, 0 in descending order. l, 3, 0, -2 Let d = 22531 - 22528. Let a = -1 + -2. Sort a, d, -5 in descending order. d, a, -5 Let d = 51.796 - -0.204. Let k = 52.2 - d. Sort k, 5, 4, -0.5 in descending order. 5, 4, k, -0.5 Let d be 16/3 - (-4)/(-12). Sort -2, 4, -252, d, -5 in ascending order. -252, -5, -2, 4, d Let f = 0.02231 - 0.02231. Put f, 5415, -4 in decreasing order. 5415, f, -4 Let v be (6 - (9 + -9))*5/15. Put -440, 0, -1, -5, v in descending order. v, 0, -1, -5, -440 Suppose -4*r + 3*f = -4, 2*r + 0 = -4*f + 2. Let j(n) = -n + 23. Let s be j(20). Suppose 0*h + 2*h = -s*d - 12, 3*d = 0. Put r, 2, h in increasing order. h, r, 2 Let t = -4 + 2. Let b = 359.303 - 0.303. Let a = b + -359.3. Sort 7, t, a, -0.4 in decreasing order. 7, a, -0.4, t Let g be 7595/(-217) - (-2700)/76. Let y be 2/(-7) - (1 - 1). Sort g, -1/6, y in ascending order. y, -1/6, g Let l = -107/215 - -17/86. Put l, -4/5, 1/4, 0.4, -0.6 in ascending order. -4/5, -0.6, l, 1/4, 0.4 Let g = 403 - 106. Let r = -296.6 + g. Sort 33, r, 1/3 in ascending order. 1/3, r, 33 Let k(v) = 4*v**2 - 38*v - 17. Let s be k(10). Suppose 26 = -s*c - 2*q, -3*c = -c + q + 17. Sort 3, c, -2. c, -2, 3 Let a(w) = w**2 - 17*w + 32. Let f be a(17). Suppose 5*g + f = 10*g + 3*h, 3*g - 5*h = -8
{ "pile_set_name": "DM Mathematics" }
/(-3))? -1 (1/1)/((-11)/(66/30)) -1/5 Calculate ((-12)/(-4))/((12/(-1))/4). -1 Calculate -6*3/(-27)*(-6)/8. -1/2 What is the value of ((-9)/15)/((-57)/10)? 2/19 Evaluate (32*25/700)/(4/14). 4 Calculate (2/(-4))/((-21)/(-6)). -1/7 Calculate 6/(2/(-2*(-4)/(-16))). -3/2 Evaluate (-1)/(-5)*32/32. 1/5 ((-2)/20)/((-36)/(-90))*2 -1/2 (49/(-7))/(-42)*(-8)/12 -1/9 ((-1)/(-20))/((-21)/28)*-3 1/5 Evaluate (-2)/6*54/9*-1. 2 What is the value of (6*(-2)/40)/(12/8)? -1/5 What is the value of -3*40/(-255)*6/24? 2/17 What is -2*2/(-4)*9/(-18)? -1/2 -18*(-5)/420*42/(-12) -3/4 15/(1215/18)*-3 -2/3 (-6)/(-9)*(-2)/(-4)*-3 -1 What is the value of (-3)/((-12)/(-8)*5)? -2/5 What is 1/((-2)/4)*(-27)/9? 6 What is the value of (14/(-63))/((-1)/(-1)*-1)? 2/9 Evaluate ((10/25)/1)/(1/(-2)). -4/5 What is (2/16)/(2*3/(-8))? -1/6 What is the value of (72/60)/((-18)/60)? -4 What is -1*((-4)/(-6))/(2/9)? -3 What is (55/(-33))/((-25)/(-165))? -11 Calculate (70/(-105))/(1/(-3)). 2 Evaluate (-100)/30*6/(-70). 2/7 What is the value of 0/7*3/12*-2? 0 What is the value of (260/(-52))/(4/((-12)/(-9)))? -5/3 What is the value of 8/16*(-4)/3? -2/3 What is the value of ((-3)/(-3)*-1*0)/(-3)? 0 Evaluate (-40)/(-24)*(-15)/(-5)*1. 5 Evaluate (-5)/2*24/10*-1. 6 What is the value of 6/((-162)/(-63))*(-6)/8? -7/4 What is (-20)/5*(-1)/104*-4? -2/13 (-4)/(-1)*140/112 5 Evaluate -1*(-18)/(-42)*1. -3/7 Calculate 1/(-2)*102/17. -3 What is (-10)/(-12)*(-3)/(-5)? 1/2 Calculate ((-12)/(-40))/(((-15)/4)/(-5)). 2/5 What is the value of 98/(-4)*-2*4/28? 7 What is the value of 45/(-12)*5/(-25)*-4? -3 Calculate (-1001)/286*(-1)/28. 1/8 8/10*(-10)/52 -2/13 Calculate -9*-2*(-3)/(-18). 3 ((1/(-1))/1)/(16/16) -1 What is the value of ((-1)/11)/((-516)/(-1419))? -1/4 Evaluate 1/(-6)*(-11)/((-11)/(-6)). 1 What is the value of (-6)/(3/(-10)*(-5)/(-1))? 4 Calculate ((1/6)/(4/36))/(-3). -1/2 ((-5)/3)/(1*(-1)/(-3)) -5 What is 3*7/28*16/21? 4/7 ((-2)/8*-1)/(119/952) 2 What is the value of ((-6)/2)/((294/28)/1)? -2/7 Evaluate 2320/(-435)*6/8. -4 What is (-9*(-9)/108)/(2/(-8))? -3 Calculate 2/6*-2*(-27)/(-9). -2 What is ((-30)/(-27))/((-4)/(-48)*8)? 5/3 (2/8)/(16/(-768)*4) -3 (-64)/480*3/(-6)*3 1/5 What is the value of ((-5)/3)/((-111)/(-333))? -5 Evaluate (-50)/35*(-70)/(-40). -5/2 What is the value of (2/3)/(21/126)? 4 Calculate 10/4*7/(105/(-18)). -3 What is the value of 1*(-2)/(-5)*(-6)/(-12)? 1/5 What is (1/(-10))/(8/(-10))*2? 1/4 Calculate ((-95)/475)/((-1)/(-5)). -1 Evaluate ((-4)/42)/((12/9)/(-2)). 1/7 Calculate ((-2)/(-5))/(2/(-30)*4). -3/2 What is (-2450)/1575*2/(-14)? 2/9 Evaluate (1/1)/((-5)/10). -2 What is -8*(-36)/(-48)*(-1)/(-2)? -3 What is the value of ((-2)/3)/(1196/156)? -2/23 What is the value of (3*3/18)/(4/(-8))? -1 What is ((-94)/141)/(-2*2/(-6))? -1 Evaluate (-9)/(-30)*-1*(-10)/4. 3/4 Evaluate (-3)/((-3)/((-15)/3*1)). -5 Evaluate 16/2*(-4)/160*-5. 1 Calculate (-1)/(27/6)*3. -2/3 What is the value of 2*3/28*(-332)/(-249)? 2/7 Evaluate 4/6*(-9)/(-6). 1 What is 2/4*4/(-10)? -1/5 Calculate (-3)/2*((-256)/(-24))/(-8). 2 What is (2/(-2))/(80/16)? -1/5 Evaluate 260/156*(8/(-10))/1. -4/3 Evaluate ((-465)/(-1116))/(15/8). 2/9 Calculate -1*((-15)/50)/(18/(-5)). -1/12 Evaluate 2*(-3)/8*6/(-18). 1/4 Calculate ((-232)/(-174))/(2/(-3)). -2 Evaluate 1/((-3)/(2/(-2))). 1/3 Evaluate (-656)/(-492)*(-21)/(-4). 7 Evaluate (-6*5/10)/(-6). 1/2 What is the value of ((12/(-14))/3)/(3/(-42))? 4 What is ((-1)/(-2))/((110/(-5))/(-11))? 1/4 Calculate (-42)/12*(-32)/(-28). -4 (-22)/3*210/(-385) 4 ((-4)/6)/((-52)/(-13)) -1/6 ((-196)/441)/(4/(-6)) 2/3 What is 24/(-40)*(140/8)/7? -3/2 Calculate (-36)/84*(-1)/1. 3/7 Evaluate (43/215)/(((-6)/15)/1). -1/2 Evaluate ((-4)/10)/((-29)/(-580)). -8 What is (-3)/((-135)/(-5))*6/3? -2/9 What is (-1)/(-46)*36/(-234)*-26? 2/23 6/((-126)/1)*9 -3/7 Evaluate 40/120*(-1)/1*8. -8/3 What is the value of (-2)/(-35)*(-35)/(-49)*7? 2/7 (6/(-4))/((-120)/16) 1/5 Calculate 30/(-25)*10/4. -3 Evaluate (15/90)/((-6)/(-27)). 3/4 What is 0/((-35)/(63/9))? 0 2*((-6)/3)/6 -2/3 Calculate (1/(-3)*2)/((-1)/(-6)). -4 ((-6)/(-15))/(64/20) 1/8 What is the value of 1/(2/(-3))*10/(-5)? 3 2*(147/56*-4)/6 -7/2 What is the value of (-4)/30*(-25)/15? 2/9 What is the value of ((-140)/(-15))/14*6/4? 1 (-6)/10*(-150)/(-36) -5/2 Calculate (78/(-325))/(4/10). -3/5 Calculate (6/(-8))/(-12*9/(-72)). -1/2 Calculate (7/(-28))/(2/40). -5 What is 5/(((-28)/(-7))/(-4))? -5 Evaluate ((-15)/(-102))/(80/(-64)). -2/17 What is the value of (91/14)/(-13)*10? -5 Calculate (-1)/(-3)*(-21)/42. -1/6 1/(((-2)/(-36))/((-8)/(-24))) 6 What is the value of (-4)/(-2)*(-9)/6? -3 1*(-1)/5*(-30)/6 1 Calculate 0/(4/(8/2)). 0 Calculate ((-6)/4)/1*4/(-39). 2/13 What is the value of (((-160)/(-25))/16)/(4/(-15))? -3/2 What is -2*4/(-156)*-3*-1? 2/13 Evaluate (0/(-8))/(2/(-2)). 0 What is the value of (-18)/12*(-20)/(-6)? -5 Evaluate (8/(-6))/(-2)*141/(-47). -2 Calculate (1*21/14)/6. 1/4 Evaluate 2/3*-1*(-18)/(-54). -2/9 What is the value of ((-6)/9)/((-30)/(-27))? -3/5 What is (6/42)/(9/(-18))? -2/7 What is the value of -9*((-7)/(7/(-2)))/(-6)? 3 What is the value of (2/(-2))/(32/4)? -1/8 Calculate 4/10*15/12. 1/2 What is 6/((-36)/30)*-1? 5 What is the value of (-12*(-1)/16)/((-9)/(-6))? 1/2 Calculate ((-7)/((-196)/48))/(2/(-7)). -6 Calculate (225/6)/5*12/15. 6 What is 7/6*(-16)/(224/10)? -5/6 Calculate (16/(-64))/(14/(-24)). 3/7 Evaluate (10/(-15))/(-1*6/(-36)). -4 What is the value of (3/(150/5))/(2/5)? 1/4 (-9)/(72/(-32))*3/(-2) -6 (2/((-24)/(-5)))/((-2)/(-6)) 5/4 What is 9/(-5)*505/(-1212)? 3/4 What is the value of (55/15)/((-35)/(-105))? 11 (4/8*8)/(-10) -2/5 What is (140/56)/((-3)/(-2))? 5/3 What is the value of (-7)/(63/(-9))*0? 0 (7/21)/((-1)/(-9)) 3 What is (((-4)/(-5))/(78/585))/(-14)? -3/7 (-7*(-15)/63)/(5/(-15)) -5 Calculate ((-7)/(-35)*-4)/((-22)/5). 2/11 ((-3)/10)/(42/35) -1/4 What is 8/(-28)*7*4? -8 Calculate 15/640*8*-2. -3/8 What is the value of ((-48)/(-224))/(9/24)? 4/7 Calculate 5/1*(-6)/55. -6/11 What is (-903)/(-258)*(10/7)/2? 5/2 What is the value of (9/(225/10)*-20)/2? -4 What is the value of (-1)/(-2)*(-72)/(-63)? 4/7 What is the value of 2*((-13)/(-78))/((-1)/(-1))? 1/3 Calculate (16/100)/(-2)*10. -4/5 ((-15)/9)/((920/72)/(-23)) 3 What is 4/((1/2)/((-130)/104))? -10 Evaluate 1/(-3)*8*18/192. -1/4 Evaluate (-6)/(-4)*(-30)/9. -5 What is the value of 1/(((-10)/4)/((-6)/(-12)))? -1/5 Evaluate ((-3)/(-2))/(-1)*(-152)/399. 4/7 What is the value of (-132)/22*(-4)/36? 2/3 Evaluate ((-9)/6*2)/(-6). 1/2 Evaluate ((-3)/(-45)*12)/(2/(-10)). -4 What is the value of (3/((-3)/1))/(165/(-99))? 3/5 Evaluate (2*(-3)/(-3))/((-28)/98). -7 What is (8/(-8))/((-1)/(-4))? -4 Calculate ((-28)/(-35))/(2/5). 2 Calculate ((-15)/(-350))/((-19)/(-190)). 3/7 What is (2/9)/((-5)/15)? -2/3 What is the value of (1/4)/(5/(-10))? -1/2 What is 5/(5/(-2))*(-1)/(-3)? -2/3 What is ((4*1)/2)/((-58)/(-29))? 1 Evaluate 30/(-50)*(-10)/9. 2/3 Calculate ((-24)/30)/((-2)/15). 6 ((1/(-4))/((-25)/(-20)))/3 -1/15 What is the value of (-3)/8*120/90? -1/2 What is 10/8*4/((-1)/(-1))? 5 What is 1*-1*24/(-144)? 1/6 (-119)/17*10/14 -5 What is (-98)/(-112)*12/(-14)? -3/4 What is (2*-1)/((-196)/98)? 1 What is the value of (0/6)/4*2/6? 0 What is the value of ((-1)/(-7))/((-5)/(-20))? 4/7 Evaluate (25/20)/((-175)/(-20)). 1/7 What is ((-4)/(-10))/(3/(-15)*-2)? 1 Evaluate ((-15)/(-18))/(7/((-28)/(-20))). 1/6 (-1)/(-2)*(-4)/14*-3 3/7 Calculate (0/(15/3))/((-8)/8). 0 (20/(-120))/(2/(-2)) 1/6 Calculate ((-1)/4)/((-1)/((-2)/3)). -1/6 What is the value of ((-18)/(-84))/((-12)/14)? -1/4 (((-288)/81)/8)/((-4)/3) 1/3 ((-3)/5)/(12/(-10)) 1/2 What is 24/8*1*3? 9 What is -12*(4/(-8))/(-1)? -6 Evaluate (32/(-120))/(20/(-30)). 2/5 Calculate (-119)/(-34)*1/14. 1/4 What is ((-12)/9)/((-24)/(-6))? -1/3 31/((-620)/15)*14/6 -7/4 What is 1*16/20*5? 4 Calculate (-12)/(-8)*2*3/(-3). -3 What is -3*2*(-1)/6*-1? -1 What is 7/((-231)/(-1))*6/(-1)? -2/11 Evaluate (-36)/(-40)*75/90. 3/4 What is the value of ((-12)/15)/(-4)*80/(-96)? -1/6 Evaluate (56/448)/(2/16). 1 What is the value of (4/45)/((-5)/50*-4)? 2/9 (-1*1)/((-18)/18) 1 What is the value of 1/(6/2)*1449/644? 3/4 What is the value of 1*((-756)/12)/7? -9 (134/11457)/(1/9) 2/19 What is (0/4)/((-1)/1)? 0 Calculate 5/(-11)*(-1)/5. 1/11 What is the value of (
{ "pile_set_name": "DM Mathematics" }