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scaling_mia_the_pile_00_DM_Mathematics

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k is positive. k**(155/12) Simplify ((f**3*f*f*f**7)/((f/(f*f**5*f))/(((f**6*f)/f*f*f*f)/f)))/((f**(1/3)*f)**(-33))**(4/7) assuming f is positive. f**(358/7) Simplify (c*c**(-5)/c*c**(-1/11))**(13/4)/(c**(1/2)/(c**(5/4)/c)*(c**4/c)/(c**3/c)) assuming c is positive. c**(-783/44) Simplify (z**5*z**(-7/2))/(z**2*z*(z*z**(-3/4)*z)/z)*(z**11*z**(-2/5)/z)**(-1/15) assuming z is positive. z**(-239/100) Simplify (c/c**(-3/2)*c/(c**(4/7)/c))**(9/2)*((c**0*c*c)**(-34))**(-2/23) assuming c is positive. c**(15193/644) Simplify (a**(-29)/a)**(-1/42)/((a/(a/(a/(a*a*a**(1/45)/a)*a)))/a**(1/2)) assuming a is positive. a**(149/630) Simplify (h**11/(h/((h**(2/19)*h)/h)))/(h*(h/h**47)/h*h**33/h) assuming h is positive. h**(458/19) Simplify ((i**(1/52)/i)**(7/3)/(i**(-36)*i/i**(2/85)))**(2/39) assuming i is positive. i**(144689/86190) Simplify ((t*t/(t**(-1/43)*t)*t**(-4/11)/t)/(t*t**(-16)*t*t*t**(-18/5)))**(-28) assuming t is positive. t**(-1076712/2365) Simplify ((s**(1/6)*s**(-2/7))/(s**1*(s/(s*s*s**(-4/7)*s*s))/s))/(s**(1/2)/s**(-1/7)*(s/s**0)**(-7)) assuming s is positive. s**(26/3) Simplify (r/r**(-5)*r**(-6/5)/r)/(r*r**(-1)*r*r**(-1/5))*(r**1)**(-6/17)/((r*r**7)/(r/(r*r**(1/13))*r)) assuming r is positive. r**(-979/221) Simplify (f**40*f**(2/75)*f)/((f**37/f)/(f/((f/(f/f**(11/3)))/f))) assuming f is positive. f**(84/25) Simplify ((q/q**1)**47/(q**(-1/9)/q**(-2)))/((q**1)**16/((q**0*q)/q)**(-6/29)) assuming q is positive. q**(-161/9) Simplify ((c*c**(-2/7))**(-12)/((c*c**(1/2))/c)**(1/18))/((c**(1/3))**(2/143)/((c/(c/(c/(c/c**(1/10)))))/(c**3/c))) assuming c is positive. c**(-1892587/180180) Simplify ((q/(q**(-3)*q))**(2/23))**(-6)/((q**(6/5)/(q**7/q*q))/(q**(-2/7)*q)**(-15/8)) assuming q is positive. q**(18647/6440) Simplify ((v*v/v**(6/7)*v*v*v*v)/(v*v/v**7)*v**(-1)/v**(-5))/(v/v**(-2/19)*v**(-1/4))**(-3) assuming v is positive. v**(8889/532) Simplify (f**(-9/2)/((f**(-6)/f)/f))**(-6/25)/(f**(-2/9)*f*f**1*f)**(-42) assuming f is positive. f**(8687/75) Simplify ((l*l**(-5)*l*l)/l*l**(-1/11))**(-8/13)*((l*l**0*l*l)**(-9/7))**34 assuming l is positive. l**(-129370/1001) Simplify ((b**(2/21)/(b*b**(-2)*b))**(-31))**(3/2) assuming b is positive. b**(-31/7) Simplify (c**(-12)/((c**8/c)/c)*(c*c*c/(c/(c*c**(-2/9)))*c*c*c)**(1/69))**(-31) assuming c is positive. c**(344906/621) Simplify ((n*n**12*n)/(n/n**(-9)))**(-50)/((n*n**(2/5)/n)**20/(n*n**(2/5))**34) assuming n is positive. n**(-802/5) Simplify (((o*o*o**(-2/3)*o)/o)/(o**0/o*o)*o/o**(4/7)*o*o**(-1/3))/(o**(-4)/(o/((o/(o*o**1))/o*o)*o*o))**40 assuming o is positive. o**(2257/7) Simplify d*d**(-21)*d**(-2/21)*(d**(-1/4))**(-13) assuming d is positive. d**(-1415/84) Simplify ((((p*p**(2/11))/p)/p**(-2))**(-1/14))**(1/8) assuming p is positive. p**(-3/154) Simplify (m*m*m*m**(2/15)*m*m/(m*m*m/((m/m**(-16))/m)*m*m)*((m*m**5)/m)/(m/m**(-3/13)))**48 assuming m is positive. m**(62096/65) Simplify ((b*((b/b**0)/b*b)/b*b*b*b*b)**(-25)/(b**(-2/7))**12)/(b**(-1/8)/((b**(-2)/b)/b))**(1/32) assuming b is positive. b**(-218073/1792) Simplify ((d**(-2/9)*d)**(-3/17))**(-49)*((((d**(-3/5)/d)/d)/d)/(d*(d**(-2)*d)/d*d))**15 assuming d is positive. d**(-2411/51) Simplify (k**4/(k*k/k**(3/5))*k*k**(-2/7)*k*k**(-6))/((k**0/((k*k**6)/k))/((k*k*((k**(2/3)/k)/k)/k)/(k*k*k**5*k))) assuming k is positive. k**(-422/105) Simplify ((u**(1/2))**(3/10))**(-3/11)*((u**(1/2))**22)**(-17/5) assuming u is positive. u**(-8237/220) Simplify (k*k/k**(-4/5)*(k**(-3)*k*k)/k)**(28/5)*((k**(-2)*k)/k*k)**19*k**(2/17)*k*k**2*k assuming k is positive. k**(-4421/425) Simplify (p**(2/13)*p*p*(p/(p/p**(1/7)*p))/p)**(-10/9)*(p/(p/p**(2/3)))/(p/(p**(6/5)/p))*p**8/(p/(p**(3/2)*p)) assuming p is positive. p**(24671/2730) Simplify (o/(o*o**(4/3))*o**(-4)*(o/((o*o**(-1/2)*o)/o))/(o**(6/11)/o))/((o**0)**(4/3)*o*o**2*o*o*o**(-1/3)) assuming o is positive. o**(-199/22) Simplify (u**(-1))**43/(u**(-2/3)*u/u**(3/5)*u)*((u*u/((u*u*u*u**(-2/11)*u)/u)*u)/(u*u/(u**(-4)*u)))/(u/u**(1/2))**10 assuming u is positive. u**(-8836/165) Simplify (((t**12*t)/t*t*t)**(-1/46)/(t**(1/8)*t/(t*t*t**(2/25))*t))**(-23/2) assuming t is positive. t**(1607/400) Simplify (n**8/(n/n**(2/21))*n/n**(1/9)*n*n**3)**(-2/45) assuming n is positive. n**(-302/567) Simplify ((h**(-5/2))**6/(h**(-18)*h/(h**(-1/2)/h)))**(8/3) assuming h is positive. h**(4/3) Simplify ((g/(g*g**2*g))**40/((g*g**(-7/4))/g**(-2/35)))**19 assuming g is positive. g**(-317357/140) Simplify (t**1)**(-15/2)/(((t**(1/2)/t)/t)/t**2)*(t**(-1/4)/t*t**(-3/8))**(-9/5) assuming t is positive. t**(-43/40) Simplify ((((b**(-1))**(-8/7))**21)**(-50))**(1/22) assuming b is positive. b**(-600/11) Simplify (x**(-1/48)*x/(x**(-18)*x)*x*(x*x**1/x)**(3/5))**(-38) assuming x is positive. x**(-89281/120) Simplify (((d**(4/3)*d)/d**(1/2))/(d**(-1/13)*d*d*d*d**12))**38 assuming d is positive. d**(-19399/39) Simplify (i**(-1/6)*i**(4/7)*i*(i*i*(i/(i**(-2)*i))/i*i*i*i)/(i*i*((i**(-2/3)/i*i)/i)/i))/((i**(1/2)/i**3)/((i*i**(1/4)*i)/(i*i**7/i))) assuming i is positive. i**(163/28) Simplify d**(-1/4)*d**(1/2)*d**(-2)*d*d*(d/(d**1/d*d))/d*(d**(-4/5)*d/(d/(d**(-1)*d)))/(d*d**(4/9)/d*d/d**(-4/7)) assuming d is positive. d**(-4493/1260) Simplify ((((g/(g**0*g)*g)/g**4)/((g*g**1)/g**(-1/5)))**(-44))**(-41) assuming g is positive. g**(-46904/5) Simplify (g**(-4/3)*g)/g**(-7)*(g**(-1))**(2/3)*(g/(g/(g/g**(-6)))*g/(g**(1/2)/g))/(g**(-1)*g**(4/3)*g) assuming g is positive. g**(79/6) Simplify ((g**7/g)/g)/(g*g*g*g**(2/17)*g)*g*g**3*g**(-3/2)*(g**(-7)/(g*g/(g/(g/g**(3/5)))))**(-15) assuming g is positive. g**(4399/34) Simplify ((k/(k*k**(-4/7)/k*k))/(k*k/k**(-5/7))*k**(15/2)/(k/k**(-13/2)))**(-10/7) assuming k is positive. k**(150/49) Simplify (l**(-31)/(l*l**(-29)))/((((l/(l**(-2/95)/l*l))/l)/l)/l*l**(-7)) assuming l is positive. l**(568/95) Simplify (((b*b**(-20)/b*b)**(-29))**(2/111))**(-44) assuming b is positive. b**(-48488/111) Simplify ((z*(z*z*z*(z/z**(-2/7))/z*z)/z*z)**(1/3)/(z**3)**3)**4 assuming z is positive. z**(-608/21) Simplify (((f**(-5)*f)/f**(-4/7))/((f**(-2/9)/f*f)/f*f*f/f**(-5)*f*f))/(((f*f**6)/(f/f**(4/9)))/((f*(f**(-4)*f)/f)/(f**(-2/9)/f*f))) assuming f is positive. f**(-143/7) Simplify (((b**3*b)/(b/b**(1/4)))/(b**(-4)/(b*b**2*b*b)))/(b**15/(b**(-5/7)/b))**(-13/5) assuming b is positive. b**(7799/140) Simplify ((((h/(h*h**(3/5)))/h*h)/(h/((h/h**(-6)*h)/h)))/(h*h/(((h/(((h/h**(-6))/h)/h))/h)/h))**8)**(-3/11) assuming h is positive. h**(879/55) Simplify (i/(i/i**(-13))*i*i**5*i**(2/31)/((i/i**13*i)/i*i*i))**(-11) assuming i is positive. i**(-1045/31) Simplify ((u**(-7)*u/(u**2/u)*u)/(u**(-1/2)*u*u*u*u**(-6)*u*u))/((u/(u*u*(u**2/u)/u))**(5/6)*u**(1/9)*u*u*u*u**3/u) assuming u is positive. u**(-79/9) Simplify ((((l**31/l)/(l**(-8/9)*l))**(-30))**(-27))**(-1/28) assuming l is positive. l**(-12105/14) Simplify ((p**2)**(12/5)/(p/p**(-3)*p**(-6)*p))/((p/(p**(-5/3)*p)*p)/p**(-13))**(-17/3) assuming p is positive. p**(4256/45) Simplify d*d*d/(d/(d*d**(1/2)*d))*d*d**(-2)*((d/(d/(d*d**(-2/3))*d))/d)/(d*d/d**(-3/11)*d*d)*((d**(2/3)*d)/(d*d/(d/d**5)*d))**25 assuming d is positive. d**(-2987/22) Simplify ((y**(-1)/y)**(-1/74))**38/((y**(-1/2)*y)**(19/5))**(-40) assuming y is positive. y**(2850/37) Simplify ((r**1*r)/r*r**(4/9))/(r**(-9)*(r*(r*(r*(r/(r**(6/11)/r))/r)/r)/r)/r)*(r*r/(((r**(1/8)*r)/r)/r)*r)/r*r*r*r**8/r*r**(8/3)*r*r**4 assuming r is positive. r**(23389/792) Simplify (((a*a*a**(-7))/(a**(-7/3)/a)*(a**(-1/4))**39)**(-12))**(-45) assuming a is positive. a**(-6165) Simplify ((z*z**5*z*z*((z*z**(2/5))/z)/z)/((z*z/(z**5/z))/z**(-4)))/((z**(-4)*z**4)/(z**(2/9)/(z*z**(1/8)*z*z))) assuming z is positive. z**(899/360) Simplify ((((u*u**1)/(u*u**(-3/7)/u))/(u/(u**(-2)*u*u)*u**(3/2)))**(22/5))**30 assuming u is positive. u**(-66/7) Simplify ((r*r*r/r**(-2/5))**(-2/19)/(r**(-2))**(-13/2))/((r*r**(1/2))/r*r/(r*r**(-2)*r)*r/r**(-8)*r**(1/7)) assuming r is positive. r**(-31921/1330) Simplify ((p/(p**(-5)/p))/(p/(p*p/(p**(-3)/p*p)*p)*p))**(14/9)/((p**(-3/2)*p)/(p**6*p)*p**(-5)/((p**1*p)/p)) assuming p is positive. p**(551/18) Simplify b/(b/(b**(2/13)/b))*b*b*b/(b/(b**(1/2)/b))*b**(2/5)*b**(-2)*(b/(b/b**2))/(b*b**(-2/5)*b)*(b**(-2/7)*b)**(-12) assuming b is positive. b**(-8297/910) Simplify x*x*x**(-4/9)*(x/x**(-4/11))/x*x**(-2/9)*x**45/x assuming x is p
{ "pile_set_name": "DM Mathematics" }
(g). g**3 - 2*g - 1 Let x(k) = 11*k**3 + 8*k**2 - 9*k - 7. Let w(r) = 8*r**3 + 7*r**2 - 7*r - 7. Calculate 5*w(d) - 4*x(d). -4*d**3 + 3*d**2 + d - 7 Let l(g) = -2895*g + 27 - 2897*g + 11583*g - 2892*g - 2898*g. Let f(j) = 1. Give 4*f(r) - l(r). -r - 23 Let c(x) = 243*x + 54. Let j(g) = 4*g + 1. Let w(v) = c(v) - 60*j(v). Let k = -3 + 0. Let f(z) = -2*z + 5. What is k*w(y) - 4*f(y)? -y - 2 Let p(w) = -24*w**2 - 11*w. Let z(r) = -84*r**2 - 39*r. Suppose 5*l - 3*y + 46 = 0, -5*l + 10 = 107*y - 102*y. What is l*z(j) + 18*p(j)? -12*j**2 - 3*j Suppose -4*l - 180 + 160 = 0. Let y = 10 + l. Let t(o) = 5*o - 17. Let k(b) = 3*b - 11. What is y*t(x) - 8*k(x)? x + 3 Let s(o) = 4*o. Let p be -2*3*(-114)/(-228)*2/(-3). Let t(q) = -q. What is p*s(m) + 6*t(m)? 2*m Let x(n) = n**2 - 19*n - 7. Let j(k) = -4*k**2 + 54*k + 20. Calculate 6*j(b) + 17*x(b). -7*b**2 + b + 1 Let y(u) = u**2. Let i(w) = 48*w**2. Suppose -q - 2*l - 7 = 0, -125*q + 122*q = -5*l - 45. Calculate q*y(r) + i(r). 53*r**2 Let s be ((-8)/(-80) - (-36)/40)*(-24)/(-264)*55. Let x(w) = w**2 - 3*w + 6. Let o(g) = g. Let m = 2 + -1. What is m*x(k) + s*o(k)? k**2 + 2*k + 6 Let q(o) = 6*o**3 + 4*o**2 - o + 4. Let m(z) = -5*z**3 - 3*z**2 + z - 3. Suppose w + 3*u - 14 = -2, -w + 18 = 5*u. Calculate w*q(y) + 4*m(y). -2*y**3 + y Let t(s) be the third derivative of -s**4 + 50*s**2. Let m(o) = -5 + 7 - 1 - 1 + o. What is -88*m(f) - 4*t(f)? 8*f Let q(b) = 4*b**3 - 4*b**2 - 312*b - 1. Let s(y) = 5*y**3 - 2*y**2 + 2*y - 1. What is q(k) - 2*s(k)? -6*k**3 - 316*k + 1 Let x(l) = -6*l**2 - 7*l + 2. Let i(d) = -d**3 - 18*d**2 - 56*d + 5. Let u be i(-14). Let n(f) = -u*f**2 - 6*f - 90 + 291 - 99 - 100. Calculate 5*n(q) - 4*x(q). -q**2 - 2*q + 2 Let m(n) = -6*n**2 + 15*n + 444. Let d(s) = 5*s**2 - 11*s - 443. Calculate 4*d(o) + 3*m(o). 2*o**2 + o - 440 Let u(s) = 11*s - 79. Let w = -290 - -297. Let q be u(w). Let m(o) = o**2 - 7*o. Let c(t) = -3*t**2 + 21*t. Give q*c(l) - 7*m(l). -l**2 + 7*l Let l(z) = 5444658*z - 49425. Let i(g) = 661*g - 6. What is -49425*i(r) + 6*l(r)? -1977*r Let w(t) = t**2 + 2*t + 150. Let x(j) = 3*j**2 - j + 8. Give w(o) - x(o). -2*o**2 + 3*o + 142 Let n(t) = 1. Let r be (111/(-148))/((-15)/(-20)). Let k(g) = 54*g + 15. What is r*k(m) + 15*n(m)? -54*m Let a(d) = -2748*d**2 + 23*d + 9. Let h(q) = -5497*q**2 + 39*q + 15. Determine -5*a(r) + 3*h(r). -2751*r**2 + 2*r Let l(m) = -21*m**3 + m**2 - m - 108. Let u(b) = 12*b**3 - b**2 + 64. What is 3*l(i) + 5*u(i)? -3*i**3 - 2*i**2 - 3*i - 4 Let j(u) = 13*u**2 - 7*u - 2. Let a(n) = 6606 + 0*n - 7*n**2 - 6605 + 4*n. Give -7*a(x) - 4*j(x). -3*x**2 + 1 Let y(x) = -212*x - 1. Let f(s) = -15*s - 1. What is -4*f(q) + y(q)? -152*q + 3 Let v(y) = 24*y - 49. Let t(f) = 17*f - 35. Let z(w) = -7*t(w) + 5*v(w). Let d(a) = -4*a**2 - 3. Give d(g) + 2*z(g). -4*g**2 + 2*g - 3 Let d(h) = -2*h + 6. Let g(m) = -m + 4. Let x = 548 + -348. Let l = 208 - x. Give l*g(y) - 5*d(y). 2*y + 2 Let q(l) = -2125856*l**3 - 2232*l**2 - 2232*l - 2232. Let b(g) = -9533*g**3 - 10*g**2 - 10*g - 10. What is 2232*b(i) - 10*q(i)? -19096*i**3 Let z(h) = -3*h**3 + 8*h**2 + 14. Let j(u) = -5 - 196*u**3 - 3*u**2 + 113*u**3 + 84*u**3. Give 8*j(t) + 3*z(t). -t**3 + 2 Let f(c) = 5604944*c**2 + 7672*c + 69048. Let u(i) = 2192*i**2 + 3*i + 27. Calculate -3*f(y) + 7672*u(y). 2192*y**2 Let v(u) = -3*u**2 + u + 3. Let s(x) = 5*x**2 - 3*x - 7. Let t(h) = -55*h - 1377. Let b be t(-25). Determine b*s(c) - 5*v(c). 5*c**2 + c - 1 Let i(y) = y + 14. Let g be 1*-9 + (8 - (6 - 1)). Let u(n) = -1. What is g*u(l) + i(l)? l + 20 Let z(y) = 9*y + 1. Let i = 127 - 123. Let n(q) = 3 - 877*q - i + 863*q + 0. Give 5*n(b) + 8*z(b). 2*b + 3 Let y(m) = -3*m - 1. Let q = 1051 - 366. Suppose -7*o - q = -804. Let k(t) = 9*t + 3. Let x(w) = 7*w**3 - 1. Let d be x(1). Give d*k(z) + o*y(z). 3*z + 1 Let x(h) be the first derivative of -h**4/4 + 43*h**3/3 - 2*h + 4735. Let s(j) = -j**3 + j**2 - 1. Give -2*s(p) + x(p). p**3 + 41*p**2 Let q(j) = 4*j - 9. Let h(o) = 61*o - 2. Let z(b) = 10*b. Let f(p) = h(p) - 6*z(p). What is -22*f(r) + 6*q(r)? 2*r - 10 Let b(v) = -v - 2. Let c be b(-3). Let a(q) = -3*q**2 - 498*q - 6. Let r be a(-166). Let x(j) = j**3 - j - 1. Let n(u) = 7*u**3 - 8*u - 7. Give c*n(o) + r*x(o). o**3 - 2*o - 1 Let z(n) be the third derivative of -n**6/120 - n**5/60 - 5*n**4/24 - 5*n**3/6 + 2*n**2 + 1917*n + 2. Let q(c) = -c - 1. Calculate -15*q(m) + 3*z(m). -3*m**3 - 3*m**2 Let d(k) be the first derivative of -k**2 + k - 5. Let x = 80 + -79. Let s(a) = 1. Let u(f) = x*d(f) - 4*s(f). Let o(c) = 2*c + 4. Give 2*o(g) + 3*u(g). -2*g - 1 Let d(y) = -9*y - 11. Let u(a) = -a**3 + 4*a**2 + 2*a - 7. Let i be u(2). Let x(o) = 78 - 28 - 32 - 4*o - 23. Determine i*x(v) - 2*d(v). -2*v - 3 Let u be (1 - (13 - 2))/((-4)/6). Suppose g + 4*s - 5 = u, 2*s = 5*g - 12. Let j(f) = 3*f + 5. Let x(d) = -5*d - 10. Give g*x(r) + 7*j(r). r - 5 Let y be (-3)/4 + 3575/(-1100). Let t(j) be the first derivative of 4*j**3 + 3*j**2/2 - j + 43. Let k(o) = -35*o**2 - 8*o + 3. Determine y*k(c) - 11*t(c). 8*c**2 - c - 1 Let g(p) = -8*p**3 + p**2 - 2. Let w(c) = 13*c**3 + 2*c**2 - 7*c - 2. Give g(l) - w(l). -21*l**3 - l**2 + 7*l Let v(y) = -94*y + 26. Let g(h) = 138*h - 25. Calculate 2*g(a) + 3*v(a). -6*a + 28 Let b(d) = -d - 2323 + 775 + 768 + 5*d + 747. Let h(x) = -5*x + 34. Give -3*b(a) - 2*h(a). -2*a + 31 Let b(p) = p**2 - p - 1. Let n be (1 - 3)*(-14)/(-8)*2. Let u(t) be the first derivative of 7 - 1/3*t**3 + 1/2*t**2 + t. Determine n*b(k) - 6*u(k). -k**2 + k + 1 Let q = 8267 - 8260. Let s(m) = 13*m**2 + 7*m + 9. Let k(p) = -6*p**2 - 4*p - 5. Determine q*k(v) + 4*s(v). 10*v**2 + 1 Let d(u) = 2706*u**2 + 21*u - 13. Let l(t) = 2706*t**2 + 25*t - 15. Determine 6*d(y) - 5*l(y). 2706*y**2 + y - 3 Let a(r) = -5*r**2 - 7*r + 38. Let y(u) = u**2 + 49*u + 141. Let i be y(-46). Let h(z) = 2*z**2 + 3*z - 19. Give i*a(m) + 7*h(m). -m**2 - 19 Let o(p) = -5*p + 15. Let n(r) = r - 6. Let m(a) be the first derivative of -3/2*a**2 + 17*a + 5. Let z(y) = -3*m(y) - 8*n(y). Determine 2*o(g) + 11*z(g). g - 3 Let r(m) = -15*m**3 + 5*m. Let f be 2 + 0 + -1 + -6. Let j(d) be the third derivative of -2*d**6/15 + d**4/4 + 28*d**2 + 10*d + 4. Determine f*j(v) + 6*r(v). -10*v**3 Let r(c) = 4*c**3 + 2*c. Let z(q) be the third derivative of q**6/40 + q**4/12 - 917*q**2. Let o = -21 - -17. What is o*r(d) + 5*z(d)? -d**3 + 2*d Let d be (-4 - -1)/((-8277)/(-21390) + 4/(-46)). Let g(k) = -k**2 - 6*k + 2. Let r(y) = 2*y**2 + 11*y - 5. Determine d*g(w) - 4*r(w). 2*w**2 + 16*w Let p(l) = 7273*l**2 + 12*l. Let s(i) = 290447261*i**2 + 479226*i. Calculate -79871*p(o) + 2*s(o). -7261*o**2 Let o(x) = 5*x**3 + 12*x**2 + 895. Let h(t) = -14*t**3 - 34*t**2 - 2684. Determine -6*h(a) - 17*o(a). -a**3 + 889 Let l be (435/30)/29*8. Let x(w) = -5*w**3 - 4*w**2 - 6*w - 4. Let p(n) = n**3 + n**2 + n + 1. What is l*p(d) + x(d)? -d**3 - 2*d Let y(o) = o**3 + o**2 - 1. Let q(p) = -15*p**3 + 6*p**2 + 18. Let j = -23269 + 23268. What is j*q(z) - 18*y(z)? -3*z**3 - 24*z**2 Let y(m) = -6637*m - 6. Let i(c) = -11780681*c - 10648. Determine -3*i(t) + 5324*y(t). 6655*t Let c(g) be the third derivative of -g**5/30 + g**3/2 - 1281*g**2. Let y(j) be the second derivative of -j**4/2 + 4*j**2 + 2*j. What is -8*c(s) + 3*y(s)? -2*s**2 Let y(o) = -2*o**2 - 5*o. Let m(v) be the second derivative of v**4/12 + v**3/2 - 83883*v. Let b be -3*(-1 + -1 + 0). Determine b*y(h) + 11*m(h). -h**2 + 3*h Let m(r) = -4*r**3 - 3904*r**2 - 11*r + 11. Let a(k) = k**3 + 781*k**2 + 2*k - 2. Determine 11*a(y) + 2*m(y). 3*y**3 + 783*y**2 Let b(l) = 45*l + 4749. Let s(z) = -33*z - 3562. What is 8*b(v) + 11*s(v)? -3*v - 1190 Let x be 63/(-42)*(-4 + 48/9). Suppose 8*k - 3*k = -135. Let p(y) = -66*y**2 - 27*y - 27. Let u(l) = 5*l**2 + 2*l + 2. What is k*u(d) + x*p(d)? -3*d**2 Let w(u) = 0*u + 12*u - 2*u. Let g(t) = 120*t. Let b be 259/37*11/(77/3). Calculate b*g(c) - 35*w(c). 10*c Suppose 2*u + 5*y + 10 = 0, 35*u = 38*u - 2*y - 23. Let h(k) = 48*k + 21. Let d(c) = -12*c - 5. What is u*h(j) + 21*d(j)? -12*j Let l(u) = 14*u**2. Suppose 68 + 86 = 14*c. Suppose 0 = 4*r - c - 5. Let h(s) = 5*s**2. What is r*l(v) - 11*h(v)? v**2 Let x(p) = -19*p**2 + 3672*p + 21. Let a(f) = 14*f**2 - 2754*f - 15. Give 15*a(t) + 11*x(t). t**2 - 918*t + 6 Let d(
{ "pile_set_name": "DM Mathematics" }
e 0 = g - 6 - 4. Let t be 3 + g/(-1) + 2. Does 18 divide (-240)/(1 + t) - 0? False Suppose 2*f + 16 = -2*h, 5*f = -0*f + 3*h - 8. Let m be f/(-3 - 1 - -2). Suppose 0 = m*b + b + 4*p - 44, 48 = 2*b - 2*p. Does 17 divide b? False Let s = -10133 + 6998. Is (-4)/6*s/10 a multiple of 29? False Let d be 4*(-3 + 5) + -2. Does 4 divide d/14 + (-242)/(-7) + -3? True Is 14 a factor of (-4)/8 + (-57375)/(-30)? False Let u be (1*-1)/(1/(-2)). Let g(r) = -3 + 6*r - 4*r + r**3 - 3*r**u + 6. Does 2 divide g(3)? False Let c(k) = 3*k + 16. Let b be c(-7). Let t(l) = -l + 3*l**2 - 2 + l - l**2. Does 24 divide t(b)? True Is 5/1 + (56 - 6) a multiple of 2? False Is 13 a factor of 135 + (-11)/((-33)/(-18))? False Let w(m) = m**2 - 2*m - 4. Suppose -4*p = -o - 8, -1 = o - 2*o + p. Let k be w(o). Suppose k*g = 0, 3*j - 83 + 5 = -g. Does 26 divide j? True Suppose -r + 13 = -2*z - 0, 2*z + 10 = 0. Let o(n) = 0 - 2*n + r*n + 14. Is 3 a factor of o(-9)? False Let f(d) = 32*d - 24. Does 26 divide f(43)? True Suppose -10 = -4*s + 6. Let y(g) = 14*g + 2. Let i be y(s). Suppose -3*h = -5*h + i. Does 10 divide h? False Is (-216 - 1108)*2/(-7 + -1) a multiple of 7? False Suppose 2*m - 60 = 46. Let l = 17 + m. Does 10 divide l? True Let j = 181 + -61. Suppose -j = -41*l + 38*l. Is 5 a factor of l? True Does 41 divide (-112)/1176 + (49270/42 - -3)? False Suppose -23*i + 19*i = -4*g - 11568, -5*i + 4*g = -14459. Is 18 a factor of i? False Let j(s) = s**3 + 8*s**2 - 16*s + 14. Is j(8) a multiple of 91? True Suppose 3*w + 206 = -2*s, 3*w = -0*s + 3*s - 201. Suppose -324 + 63 = -2*o - 5*m, 3*o - m = 434. Let b = o + w. Is b a multiple of 25? True Suppose 23 = 3*s + 167. Let z be -6*4/(s/(-4)). Is 31 a factor of z/(-1)*(-93)/(-6)? True Suppose 468 = -10*h - 3*h. Let i = 206 - h. Does 19 divide i? False Suppose 4*v - 24 + 92 = 2*n, 0 = 4*n - 2*v - 112. Is 13 a factor of n? True Let u be ((-2)/4 - 39/6)*-1. Does 5 divide 11 - (1 + 2 + 0 - u)? True Suppose 15*d = 10*d + 20. Suppose -2*g - 8 = d. Let s(j) = j**3 + 7*j**2 - j + 6. Does 14 divide s(g)? False Let y(q) = -36*q + 24. Let p be ((-2)/4)/(19/76). Is 8 a factor of y(p)? True Suppose -3*i = -7*i + 24. Let b be i/1*(-27)/18. Is 3 a factor of 2/b + (-168)/(-27)? True Let y(o) = 6*o**2 - 22*o + 14. Does 11 divide y(7)? True Let s(g) = -2*g**2 + 21*g - 16. Let p be s(12). Let f = p + 94. Is f a multiple of 21? True Let p be 5*(104/(-40) + (-2)/(-10)). Is 2 a factor of (-12)/(-3*1*(-4)/p)? True Let c(n) = n**3 + 2*n**2 + n + 2. Let m(v) = v - 7. Let t be m(5). Let b be c(t). Is (1/3 - b)*9 a multiple of 3? True Suppose m + 15 = 3*m + 3*t, -4*t = -12. Is 9 a factor of m + 4/14 + 2535/21? False Let b be (-273)/(-14)*30/9. Let p = b + -46. Is p a multiple of 13? False Suppose -3*c - 88 = -4*l + 19, 0 = -4*l - 3*c + 101. Let n = 41 - l. Does 11 divide n? False Suppose 0 = -j - 3*n + 2483, -j + 2397 = -3*n - 68. Does 7 divide j? False Let y(s) = 2*s - 3. Suppose 6 = -2*p - 0. Let b be y(p). Let x = b + 17. Is 5 a factor of x? False Let g be (4 - 2 - 0) + -47. Let n = g - -120. Does 24 divide n? False Suppose 3*c - 58 = 134. Suppose 37*a + c = 41*a. Suppose 2*r - 2*g = a, 5*g = -r + 2*r + 8. Is 12 a factor of r? True Let u(q) be the second derivative of 5*q**4/4 + 3*q**2 - 4*q. Let n(f) be the first derivative of u(f). Does 5 divide n(1)? True Let d = 0 - -14. Suppose 39*i - 132 = 36*i. Let g = i - d. Is 6 a factor of g? True Suppose 102 = -0*j + 3*j. Let k(r) = -15 + r + j + 31. Does 25 divide k(0)? True Let d(n) = 58*n - 53. Let j be d(9). Let q = j - 259. Is 30 a factor of q? True Suppose 3*j + 913 = 2*y, -3*j + 2935 - 621 = 5*y. Does 4 divide y? False Let q(y) = -2*y + 29. Let h be q(12). Suppose 0 = -g + 6*a - a + 135, -h*g = 3*a - 591. Is 30 a factor of g? True Let s(p) = -p**2 + 24*p + 27. Let h be s(25). Suppose h*r - 172 = -48. Is r a multiple of 11? False Let r be -5*(6/15)/(-1). Suppose d = 2*c, 2*d - 10 = -2*d - r*c. Suppose t = 3*a - 175, -d*a + t + 109 = -6. Is 15 a factor of a? True Let d = -303 + 547. Suppose 9*q - 5*q - d = 0. Is 25 a factor of q? False Suppose 0 = -4*g + 34 - 330. Let z = 105 + g. Let t = -20 + z. Is 11 a factor of t? True Let p(b) = 4*b**2 - 30*b + 28. Is 6 a factor of p(7)? False Suppose -5*b + 1170 = 345. Suppose w - 247 = 2*h, h + 1235 = 5*w + 2*h. Let r = w - b. Does 13 divide r? False Suppose -46*g = 49*g - 9215. Does 9 divide g? False Let r = 12 - 17. Let m = 8 + r. Suppose -63 = -m*i + 45. Is i a multiple of 9? True Suppose 8 = -3*y - 3*x + 26, -28 = -4*y - 5*x. Suppose 2*l - 13 = -l + 5*k, y*l - 2*k = 10. Does 6 divide l? True Let c be 2*-1*-3*1/(-3). Is c - 79*(-3)/(-3)*-1 a multiple of 25? False Let u = -59 + 63. Does 11 divide (u/2)/((-3)/(-111))? False Let q(k) = 108*k**2 - 52*k**2 - 57*k**2 + 20*k - 3 - 9*k. Let x(m) = m**3 + 7*m**2 + 4*m - 7. Let c be x(-6). Is q(c) a multiple of 9? True Let r be -3*(-2)/12*6. Suppose -27 = -4*b + l, -r*l + 0 = -b + 15. Is (-8)/(-12) + 176/b a multiple of 9? False Is 38 a factor of 9 - (7 - 1 - 263)? True Suppose 562*b - 556*b - 3120 = 0. Does 8 divide b? True Suppose 0 = 7*k - 2*k - 20. Let p be 1 + (-6)/(-4)*2. Suppose -p*d + 2*o = -176, -73 = -k*d - 5*o + 131. Is d a multiple of 11? False Does 7 divide 12/(-16)*(-1132)/3? False Suppose 5851 + 3103 = 11*j. Is j a multiple of 17? False Let k = 6 - 4. Suppose 0 = -14*r + 6*r - 504. Is 20 a factor of (-1242)/r - k/(-7)? True Let p = 285 + -30. Does 17 divide p? True Suppose -q = 2*q - 6. Let c(w) = 0 - w + 5*w + 2 - w + 13*w**q. Does 24 divide c(-2)? True Let t = 4 - -1. Suppose -f - 4*f = -t, 5*f = 5*z + 20. Let y = z - -55. Is y a multiple of 24? False Suppose 0 = -7*z - 3*z + 1760. Is 8 a factor of z? True Let d = 21 - -15. Let m = -13 + d. Does 4 divide m? False Let s(u) = u**2 - 18*u + 6. Let h be s(18). Suppose 0 = 2*t - 442 - h. Is t a multiple of 28? True Suppose -10 - 2 = -6*j. Let n(d) = 24*d**j - 14 + 28*d**2 - 2*d - 51*d**2. Does 11 divide n(10)? True Is 3 a factor of 6/(-11) - (-33)/242*6472? True Suppose -8*t + 8 = -4*t. Let y(k) = -k**2 - 2*k**2 + 8*k**t - 6. Does 13 divide y(3)? True Suppose 0 = -5*k + 1656 + 1824. Does 24 divide k? True Let g be (3/4)/(0 + 2/352). Suppose 11*d - 165 = g. Is d a multiple of 27? True Suppose 912 = r + 5*s, -4*r + 5*s + 689 + 2884 = 0. Does 13 divide r? True Suppose 5*p = 4*v - 265, -5*v + 2*p + 321 = 6*p. Let k = v + -28. Does 37 divide k? True Suppose -62 = -3*u - 5*k, -4*u - u + 130 = 3*k. Let d be 2/1 + (5 - 3). Suppose -d*z + u = -55. Does 14 divide z? False Let o(g) = 3*g**2 - 5*g - 11. Suppose -3*k + 4*c = -1, 1 = -4*k + 2*c - 11. Is o(k) a multiple of 35? False Suppose 6*w = 6008 + 1438. Is w a multiple of 29? False Let h(x) be the second derivative of -3*x**3 - 3*x**2 + 10*x. Is h(-7) a multiple of 30? True Let f be 247*2*(-3)/(-6). Suppose -x = -5*z + f, 5*z - 3*z - 2*x = 102. Does 13 divide z? False Let d = -576 + 225. Let b = -239 - d. Does 16 divide b? True Suppose 3*m + 192 = 5*i, -3*i + 4*m = -49 - 75. Is i a multiple of 12? True Let c(d) = -3*d**2 - d - 1. Let m be c(-2). Let r = -6 - m. Suppose 7*j - 18 = r*j. Does 9 divide j? True Suppose 11*j + 44*j - 76670 = 0. Is j a multiple of 82? True Suppose -3*r = 5*m - 1680, 3*m = 3*r + 2*r + 974. Does 21 divide m? False Let z = 42 - 37. Is (-2)/z - (-2260)/25 a multiple of 30? True Let x(i) = -27*i**3 - i**2 + 1. Let s be x(-1). Suppose z - 3*l + s = -24, 0 = -z - 4*l - 72. Does 10 divide 0/((-1)/(-1)) - z? True Let d(m) = -4*m - 6. Let t(a) = a. Let v = 10 - 15. Let z(k) = v*t(k) - d(k). Does 19 divide z(-13)? True Let m(b) = -2*b**3 - b**2 + 2*b - 1. Let f be m(-2). Let n be (f/(-21))/(1/(-24)). Suppose -n = 4*v, 48 = 3*h - h - 2*v. Is h a multiple of 6? False Let n be (65*1)/(1/3). Suppose -p - n = -5*j - 0*j, 5*p = -2*j + 78. Is 13 a factor of j? True Let i(a) = 3. Let v(x) = -16*x + 19. Let g(y) = -6*i(y) + v(y). Suppose -2 = 2*r + 2. Is g(r) a multiple of 11? True Let f(b) = -b**2 + 7*b + 5. Let p be f(8). Let x be -9 + p + 3 + 3. Is 7 a factor of 12/(-8)*28/x? True Let b(d) = 146*d + 290. Is b(4) a multiple of 46? True Does 33 divide 267 - 4/(12/9)? True Let i = -1 - -3. Let w be 18/12*(i - 0). Suppose 4*u + w*d = -0*u + 57, u - 3*d = 3. Is u a multiple of 6? True Let h = 27 + -25. Let o =
{ "pile_set_name": "DM Mathematics" }
ommon divisor of v and j. 11 Suppose 13*d = 14*d - 143. What is the greatest common divisor of d and 39? 13 Let w(n) = 23*n + 379. Let i be w(-16). Calculate the greatest common divisor of i and 1023. 11 Let i be 1215/75 + (-4)/(-60)*-3. What is the highest common divisor of 1424 and i? 16 Let a(u) = 5*u**2 - 2*u - 2. Let x be a(3). Suppose 5*n - 2*t = x, n + t - 13 = -n. What is the greatest common divisor of n and 7? 7 Let h be 14/126 + 52/18. Suppose -h*p + 224 = 4*d, -210 = -3*p - d + 4*d. What is the highest common divisor of 8 and p? 8 Suppose -q - 17*q - 11*q = -1421. Let n(u) = u**2 - 3*u + 3. Let l be n(4). Calculate the highest common divisor of q and l. 7 Suppose 7 = m + 16. Let h = 10 + -4. Let b be (m/h)/((-3)/54). Calculate the greatest common divisor of b and 9. 9 Suppose 2*t + 107 = 263. Calculate the highest common factor of t and 2262. 78 Suppose 3*q = 4*v + 6, 7*q = 5*v + 2*q + 10. Let c be (0 - -1)*(1 - v). Let y be 9 - (4 - (1 + 5)). What is the highest common divisor of c and y? 1 Let p(d) = d**3 + 33*d**2 + 14*d - 145. Let l be p(-29). Calculate the highest common factor of 29 and l. 29 Suppose 7*i = 4*i + 9. Calculate the highest common factor of i and 15. 3 Let n = 224 + -207. Let r be (9 - 0)*2/6. Suppose 0 = r*u - 2*d - 43, 0*d - d + 89 = 5*u. What is the greatest common divisor of n and u? 17 Let b = -7 + 18. Suppose -4*o - 3*c - b = -29, 2*o = -3*c + 12. Suppose -3*f + 51 = o*p - 141, 4*p - 256 = -3*f. What is the greatest common factor of 16 and p? 16 Suppose -63*x - 4*v + 241 = -58*x, 4*x - 196 = -4*v. What is the highest common factor of x and 855? 45 Let x be ((-12)/(-36))/(1/12). Suppose 2 = -x*y + 38. Calculate the greatest common factor of y and 36. 9 Suppose -4*d - 2*k + 190 = 0, 9*d - 2*k - 50 = 8*d. What is the greatest common factor of d and 936? 24 Let i(u) = 12*u**2 - 8*u - 5. Let o be i(2). What is the greatest common divisor of o and 18? 9 Let y be (-1 - 0)*(1 - 0). Let u = -73 - 319. Let d be y/4 - u/32. Calculate the greatest common factor of 60 and d. 12 Suppose 0 = 4*p + 3*w - 52 - 219, 4*w = -12. Let s = -44 - -42. Let b be (s + 1)/1 + 29 + -14. What is the highest common factor of b and p? 14 Let m = 850 - 673. Calculate the highest common factor of 3 and m. 3 Let o(z) = -z + 30. Suppose -p = m + 13 - 4, 3 = -m. Let j be o(p). Calculate the highest common factor of j and 126. 18 Let b be 6*(-8)/6 - -4. Let w(s) = -4*s - 3. Let g be w(b). Calculate the highest common factor of g and 52. 13 Let i(a) = a - 6. Let r be i(11). What is the highest common divisor of r and 35? 5 Let g(p) = 19*p**3 - 2*p**2 + 1. Let h be g(-1). Let s = h + 45. Suppose 19*t - 16*t = 375. What is the greatest common divisor of t and s? 25 Let a(o) = -2*o**3 - 17*o**2 + 8*o - 4. Let l be a(-9). Suppose 3*r - 4 = l, 5*c - 85 = 5*r. Calculate the greatest common factor of c and 35. 5 Let c(q) be the second derivative of q**4/12 + q**3/2 - 4*q**2 + 28*q - 2. Let s be c(-7). Calculate the greatest common factor of s and 320. 20 Let a = 1715 - 1352. What is the highest common divisor of a and 33? 33 Let n(i) = -17*i**3 - 4*i**2 - 4*i - 2. Let g be n(-1). What is the greatest common factor of 5 and g? 5 Let q be 0 - (2/(-1) + -2). Let u = -8954 - -9030. Calculate the greatest common factor of u and q. 4 Suppose 14*o + 0*o - 490 = 0. What is the greatest common divisor of 28 and o? 7 Let c = 131 + -128. Calculate the greatest common factor of c and 4. 1 Let b be 24/6 + (-2 - 0). Suppose -9 = -i + 4*i + 5*g, -4*i - g + 5 = 0. What is the greatest common factor of i and b? 2 Let t be 157 + 13 - -1*3. Suppose 3*j + 4*f - t = 0, 2*j - 3*j - 4*f + 47 = 0. What is the greatest common divisor of j and 9? 9 Let x(v) = -v**3 + 4*v**2 + v**2 - 8 - 5*v**2 + 2*v + 4*v**2. Let k be x(3). What is the greatest common factor of k and 35? 7 Suppose 0 = 3*f - 266 - 16. What is the greatest common factor of 235 and f? 47 Let q(f) = 9*f**2 - 190*f - 382. Let v be q(-2). Calculate the highest common divisor of v and 1598. 34 Let n be (-5 + 2 + 1)/1. Suppose -15*d = -3*d - 36. Let y be d/n*56/(-12). What is the greatest common divisor of y and 56? 7 Let v be (-18)/72 - (2 + (-45)/4). What is the highest common factor of v and 153? 9 Let w(v) = -v**2 + 27*v + 31. Let z be w(26). Calculate the greatest common divisor of 38 and z. 19 Let r be 106 - 7*(-9)/(-63). What is the highest common factor of 315 and r? 105 Let v be 1*((-2)/2 + 1). Let l be 3 - (3 - 16) - v. Suppose -2*w = -4*f - 4*w + 162, 4*f - w = 159. Calculate the greatest common divisor of f and l. 8 Let v(m) = -m**2 + 21. Let o be v(-10). Let s = -64 - o. Calculate the greatest common divisor of s and 120. 15 Let c be 47*(-2)/(-6 + 4). Suppose -4*q - c + 271 = 0. What is the greatest common factor of 8 and q? 8 Suppose -2*o = -3*o + 54. Let u be -1 - (-8)/5 - 1134/(-210). Calculate the greatest common divisor of o and u. 6 Let y = 1 - -1. Suppose -4*n = 2*v - 22, -y*v + 2*n + 6 = 2. Suppose v*z - 45 = 5. What is the greatest common factor of 80 and z? 10 Let n = 21 + -28. Let h = n - -19. Let y(f) = 4*f**2 - f. Let j be y(-2). What is the greatest common divisor of h and j? 6 Suppose 0 = 372*s - 336*s - 1332. Calculate the greatest common divisor of 2923 and s. 37 Let o(i) = -4*i**2 + i + 4. Let c(j) = -5*j**2 + j + 5. Let t(r) = 2*c(r) - 3*o(r). Let k be t(-1). Calculate the greatest common divisor of 11 and k. 1 Let s = 347 + -301. Calculate the greatest common factor of 782 and s. 46 Let f be (-100)/3*(-30)/8. Suppose 2*a = -3*a + f. What is the highest common factor of 5 and a? 5 Let c = -123 + 156. What is the highest common factor of c and 561? 33 Let b = -158 - -688. Calculate the greatest common factor of b and 10. 10 Let u be 210/((-9)/72*-8). What is the highest common divisor of 126 and u? 42 Suppose 5*u = 2*g - 13, 4*u = -g + 47 - 8. What is the highest common factor of 361 and g? 19 Let x be (1 - 1054)/(-9)*(-1)/(-3). Calculate the greatest common factor of 15 and x. 3 Let d be -4 + 1989/(-15) - (-2)/(-5). Let g = d - -209. Suppose 4*y - 56 = 5*s, -y - 13 = -4*s - 38. Calculate the highest common factor of y and g. 9 Suppose 7*u + 11 = 32. Let s be 1 - (-3 + -30 - -1). What is the greatest common divisor of u and s? 3 Suppose -4*u = -4*c + 224, -4*c - 5*u + 2*u = -210. Let p be (4 - (1 - 5 - -143))/(-1). What is the highest common factor of p and c? 27 Suppose -3*q + 15 = 4*n + 2*q, -5*q = -15. Suppose -4*b - w - 11 = -8*b, n = -3*w + 3. What is the greatest common factor of 24 and b? 3 Let k = 171 + -3. Let f(c) = c + 9. Let v be f(-9). Suppose -196 = -o - 4*o + 2*y, 4*o + 4*y - k = v. Calculate the greatest common divisor of 8 and o. 8 Suppose -106*f - 4410 = -111*f. Let o be (f/(-35))/((-4)/10). Calculate the highest common factor of 45 and o. 9 Let l be ((-1410)/(-7))/((-608)/56 - -11). Calculate the highest common divisor of l and 60. 30 Let b = -67 + 137. Calculate the greatest common divisor of b and 10. 10 Suppose 0*u + 3*u + 8 = 2*s, 1 = s. Let x = u + -3. Let d = x + 13. Calculate the highest common divisor of d and 40. 8 Suppose 2*y - 23 - 3 = 4*d, 3*y + d - 18 = 0. Suppose -4*x = -w + 25 - 6, -4*x + 23 = 5*w. Calculate the greatest common factor of y and w. 7 Let w be (-60)/(-75) + 1/5. Let q(o) = 127*o - 6. Let m be q(w). What is the highest common factor of 11 and m? 11 Let a be ((-1)/(-2))/((-2)/(-4)). Let t = -13 + -24. Let i = 43 + t. Calculate the greatest common factor of i and a. 1 Let z(s) = -3*s**2 - 18*s + 4. Let d be z(-6). Suppose d*p = 440 + 88. Let c be (-2)/5 + (-62)/(-5). Calculate the highest common factor of c and p. 12 Let o = -12 - -23. Suppose -4*s = 2*i + 10, 4*s - 5 = -i + 2*i. Suppose s = m + 4*m - 440. What is the greatest common divisor of o and m? 11 Let a = 22 + -44. Let j be (a/5 + -1)*-5. Calculate the greatest common factor of j and 108. 27 Suppose -5 = p, -3*k - 7*p = -8*p - 479. Suppose 6*j + 50 = k. Let n(d) = d + 12. Let i be n(0). Calculate the highest common divisor of i and j. 6 Suppose 6*y = 3*y + 747. Suppose -3*j = 5*d - 173, -y + 37 = -4*j - 2*d. Let h be (j/15 + -3)*20. Calculate the greatest common factor of 2 and h. 2 Let g(n) = -n**3 - 8*n**2 - 6*n + 13. Let x = 68 - 75. Let b be g(x). What is the greatest common di
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one thousand? 493000 What is -101.4787775 rounded to one decimal place? -101.5 What is -531.1655 rounded to the nearest one hundred? -500 Round 0.010063796 to 3 dps. 0.01 Round -0.000148856585 to five decimal places. -0.00015 What is -409628.7 rounded to the nearest one hundred? -409600 Round -3114.5275 to the nearest 10. -3110 What is -8196820.66 rounded to the nearest one million? -8000000 What is 76431.22937 rounded to the nearest 100? 76400 What is 0.011553705 rounded to 4 decimal places? 0.0116 Round -15043374.358 to the nearest 100000. -15000000 Round 0.001057642277 to six decimal places. 0.001058 What is -0.0033286414 rounded to 5 dps? -0.00333 What is -8392784.99 rounded to the nearest one hundred? -8392800 What is 130653.4101 rounded to the nearest 10? 130650 What is 31.03350039 rounded to the nearest integer? 31 What is 162157.4288 rounded to the nearest 1000? 162000 Round -0.01662616 to 4 dps. -0.0166 Round 20.2265506 to three dps. 20.227 What is -0.0000065314614 rounded to seven decimal places? -0.0000065 What is -1.219959089 rounded to four decimal places? -1.22 Round -235.883925 to the nearest ten. -240 What is 0.05804163888 rounded to 5 dps? 0.05804 Round -705078910 to the nearest 1000000. -705000000 Round -1197124.82 to the nearest 100. -1197100 What is -237280.318 rounded to the nearest ten thousand? -240000 Round 261698850.1 to the nearest 1000000. 262000000 What is -0.2634868588 rounded to two decimal places? -0.26 Round 184274.188 to the nearest 10. 184270 Round -0.0000519721569 to six dps. -0.000052 Round -0.00595831032 to 5 dps. -0.00596 What is 0.000397183319 rounded to 5 decimal places? 0.0004 What is -0.006769212 rounded to 3 decimal places? -0.007 Round -0.0000000455727384 to 7 decimal places. 0 What is 0.00245527044 rounded to 4 dps? 0.0025 Round -2443.53854 to zero decimal places. -2444 Round 0.0939180657 to 6 dps. 0.093918 What is -0.076943911 rounded to 4 decimal places? -0.0769 What is -0.00003656422281 rounded to 6 dps? -0.000037 Round -745.121552 to 0 dps. -745 Round -84941.4761 to the nearest ten. -84940 What is 0.873653378 rounded to 1 dp? 0.9 Round -0.000021065882008 to six dps. -0.000021 Round -1303877.591 to the nearest one hundred. -1303900 What is 1.863522458 rounded to 0 decimal places? 2 What is -19315123.06 rounded to the nearest ten thousand? -19320000 What is -0.000257291044 rounded to 7 decimal places? -0.0002573 What is 2174229.71 rounded to the nearest 100000? 2200000 What is -0.00346400972 rounded to 3 dps? -0.003 Round -207651047 to the nearest 1000000. -208000000 What is 32432.062 rounded to the nearest 100000? 0 What is -0.01065949713 rounded to six dps? -0.010659 Round -335.99781 to the nearest ten. -340 What is 20656252.6 rounded to the nearest 10000? 20660000 What is -1.54199322 rounded to 4 decimal places? -1.542 What is -2038.89112 rounded to one dp? -2038.9 What is -2980617700 rounded to the nearest 1000000? -2981000000 What is 34208.4975 rounded to the nearest 10? 34210 Round -0.0000433774493 to seven dps. -0.0000434 Round 0.00340545309 to 5 decimal places. 0.00341 What is 83924.28 rounded to the nearest 1000? 84000 What is 798840730 rounded to the nearest 100000? 798800000 Round 0.0128757085 to two decimal places. 0.01 What is -327903.34 rounded to the nearest one hundred thousand? -300000 What is 0.002334946 rounded to five decimal places? 0.00233 Round 0.31441126 to two decimal places. 0.31 What is -1825.29454 rounded to the nearest 100? -1800 Round 0.00022660243 to four dps. 0.0002 Round 0.00016444382 to 6 decimal places. 0.000164 Round 0.00113088746 to four decimal places. 0.0011 Round -0.00493997465 to 4 dps. -0.0049 What is 0.0002893986398 rounded to 5 dps? 0.00029 Round 42.64489215 to three dps. 42.645 What is 0.00763800791 rounded to 6 dps? 0.007638 Round -182604.59574 to the nearest ten. -182600 What is -835170.437 rounded to the nearest one hundred thousand? -800000 Round -551941384 to the nearest 10000. -551940000 Round 0.0053119375 to 5 decimal places. 0.00531 Round -348788.876 to the nearest ten thousand. -350000 What is -0.0402158903 rounded to three dps? -0.04 Round -2851.0852 to the nearest 1000. -3000 Round -0.00541239631 to 3 dps. -0.005 What is -624144.791 rounded to the nearest 100000? -600000 What is -0.00000956499658 rounded to six decimal places? -0.00001 Round -1057.778718 to 1 dp. -1057.8 Round 9824185.3 to the nearest 10000. 9820000 Round -1094622.17 to the nearest ten thousand. -1090000 What is -32.409507 rounded to 1 decimal place? -32.4 What is -1194468.036 rounded to the nearest one million? -1000000 Round -492950744 to the nearest one million. -493000000 Round 26082349.85 to the nearest one thousand. 26082000 What is -0.7101140213 rounded to 5 decimal places? -0.71011 What is -2263997.12 rounded to the nearest ten thousand? -2260000 What is 8681789100 rounded to the nearest 1000000? 8682000000 What is -1241775.586 rounded to the nearest one hundred? -1241800 What is -89323.02172 rounded to the nearest ten thousand? -90000 Round -1.32540719 to four decimal places. -1.3254 Round 0.12218096 to 2 dps. 0.12 Round -4.543812 to two decimal places. -4.54 Round -0.000634402 to 3 decimal places. -0.001 What is 0.319380125 rounded to two dps? 0.32 Round 10471.977 to the nearest one hundred. 10500 What is 221.15052 rounded to the nearest integer? 221 Round -4.2486274 to three dps. -4.249 What is -17.08746926 rounded to 1 decimal place? -17.1 What is 0.206446036 rounded to 4 decimal places? 0.2064 What is -54135678.4 rounded to the nearest one million? -54000000 Round 361688596 to the nearest one million. 362000000 Round 0.00000660314674 to six decimal places. 0.000007 What is -0.00015090518453 rounded to five decimal places? -0.00015 What is -53974552 rounded to the nearest 1000000? -54000000 What is 65406.894 rounded to the nearest 10000? 70000 Round -0.00355894306 to seven dps. -0.0035589 Round -0.00000095764463 to seven decimal places. -0.000001 What is -11959.9775 rounded to zero dps? -11960 What is 11583.22492 rounded to the nearest one thousand? 12000 Round 0.714321 to 1 decimal place. 0.7 Round -93.162633 to one dp. -93.2 Round 0.001593986166 to six dps. 0.001594 Round -0.00000884202584 to six dps. -0.000009 Round -0.1215437592 to four dps. -0.1215 What is -0.00001022003874 rounded to seven dps? -0.0000102 Round 558914.151 to the nearest 10. 558910 What is 28281.48232 rounded to the nearest one hundred? 28300 What is 49.2335982 rounded to the nearest 10? 50 Round -25558.1089 to the nearest 10. -25560 Round -0.00099402286 to 4 dps. -0.001 Round -12027680.511 to the nearest one million. -12000000 What is -28258215.96 rounded to the nearest 10000? -28260000 Round 0.0172552423 to four dps. 0.0173 Round 0.491013145 to three dps. 0.491 Round 25289188900 to the nearest one million. 25289000000 What is -14116.193538 rounded to the nearest one thousand? -14000 Round -484879.61 to the nearest one thousand. -485000 What is 46695.861 rounded to the nearest 10? 46700 What is 1.078722246 rounded to 4 decimal places? 1.0787 What is -850.9643002 rounded to 1 dp? -851 Round 2043.014065 to the nearest ten. 2040 What is -20930292.8 rounded to the nearest 1000000? -21000000 Round 7338.59482 to 0 decimal places. 7339 What is -4.7135259 rounded to 2 dps? -4.71 Round 0.68067604 to four dps. 0.6807 Round -1494.9442 to the nearest integer. -1495 What is -2024.355447 rounded to the nearest 100? -2000 What is 5034615 rounded to the nearest one thousand? 5035000 Round 986291.702 to the nearest one hundred. 986300 Round 73914.6771 to the nearest ten. 73910 What is -10.30311782 rounded to two decimal places? -10.3 Round 8500319.9 to the nearest one thousand. 8500000 What is 0.00085629357 rounded to five dps? 0.00086 What is 34528.95986 rounded to the nearest 100? 34500 What is -36932.70209 rounded to zero decimal places? -36933 Round -27.6298856 to 3 dps. -27.63 What is -0.89787484 rounded to 3 dps? -0.898 What is 5645.69941 rounded to 0 dps? 5646 Round 0.035564939 to five decimal places. 0.03556 Round 2922.322762 to the nearest 1000. 3000 What is 610073800 rounded to the nearest one hundred thousand? 610100000 What is -124786.556 rounded to the nearest one tho
{ "pile_set_name": "DM Mathematics" }
f 202820. 2, 5, 10141 List the prime factors of 488712. 2, 3, 7, 2909 What are the prime factors of 1268059? 13, 23, 4241 List the prime factors of 24702. 2, 3, 23, 179 What are the prime factors of 6134463? 3, 681607 What are the prime factors of 280103? 280103 List the prime factors of 73375. 5, 587 List the prime factors of 962880. 2, 3, 5, 17, 59 List the prime factors of 6771177. 3, 7, 23, 4673 What are the prime factors of 3041427? 3, 71, 109, 131 List the prime factors of 1300124. 2, 7, 59, 787 List the prime factors of 3149077. 3149077 What are the prime factors of 199823? 13, 19, 809 What are the prime factors of 4994815? 5, 7, 19, 29, 37 List the prime factors of 1419044. 2, 11, 32251 What are the prime factors of 219022? 2, 41, 2671 What are the prime factors of 79020? 2, 3, 5, 439 What are the prime factors of 2045453? 523, 3911 What are the prime factors of 2693596? 2, 673399 List the prime factors of 10849593. 3, 3616531 List the prime factors of 1970423. 7, 13, 59, 367 What are the prime factors of 239557? 239557 List the prime factors of 4698447. 3, 13, 120473 What are the prime factors of 2874141? 3, 41, 7789 What are the prime factors of 495950? 2, 5, 7, 13, 109 List the prime factors of 29818087. 13, 19, 120721 What are the prime factors of 19005094? 2, 9502547 List the prime factors of 1014767. 13, 78059 What are the prime factors of 267690? 2, 3, 5, 8923 List the prime factors of 15981773. 211, 75743 What are the prime factors of 16460293? 47, 350219 What are the prime factors of 427807? 43, 9949 List the prime factors of 21294757. 11, 23, 73, 1153 List the prime factors of 3850654. 2, 19, 101333 What are the prime factors of 4893587? 829, 5903 What are the prime factors of 1077314? 2, 7, 10993 What are the prime factors of 10795401? 3, 19, 63131 List the prime factors of 174126. 2, 3, 29021 What are the prime factors of 2181820? 2, 5, 43, 59 List the prime factors of 1654783. 13, 127291 List the prime factors of 1041510. 2, 3, 5, 149, 233 List the prime factors of 138751. 89, 1559 What are the prime factors of 1418821? 409, 3469 What are the prime factors of 680723? 41, 16603 List the prime factors of 1166553. 3, 227, 571 What are the prime factors of 358133? 23, 677 List the prime factors of 3226329. 3, 139, 2579 What are the prime factors of 166125? 3, 5, 443 List the prime factors of 4175921. 1493, 2797 List the prime factors of 297525. 3, 5, 3967 What are the prime factors of 468484? 2, 173, 677 What are the prime factors of 2183812? 2, 53, 10301 What are the prime factors of 8983959? 3, 79, 37907 List the prime factors of 6603618. 2, 3, 7, 157229 What are the prime factors of 912369? 3, 29, 10487 What are the prime factors of 11606887? 2351, 4937 List the prime factors of 16323178. 2, 8161589 List the prime factors of 18749819. 11, 1704529 What are the prime factors of 374735? 5, 149, 503 What are the prime factors of 2797618? 2, 983, 1423 List the prime factors of 15695476. 2, 23, 170603 List the prime factors of 7657310. 2, 5, 17, 31, 1453 List the prime factors of 3343511. 3343511 What are the prime factors of 684862? 2, 17, 20143 List the prime factors of 2589583. 71, 36473 List the prime factors of 249562. 2, 124781 What are the prime factors of 8148590? 2, 5, 814859 What are the prime factors of 472481? 17, 27793 List the prime factors of 41131585. 5, 11, 17, 43991 What are the prime factors of 7067341? 7067341 List the prime factors of 208194. 2, 3, 7, 4957 What are the prime factors of 17680018? 2, 109, 81101 What are the prime factors of 341149? 97, 3517 What are the prime factors of 488987? 337, 1451 List the prime factors of 8655322. 2, 13, 463, 719 What are the prime factors of 11922760? 2, 5, 127, 2347 List the prime factors of 19114594. 2, 61, 156677 What are the prime factors of 47550? 2, 3, 5, 317 List the prime factors of 9832276. 2, 29, 84761 What are the prime factors of 309598? 2, 154799 List the prime factors of 2240199. 3, 13, 41, 467 List the prime factors of 8672800. 2, 5, 37, 293 List the prime factors of 5166171. 3, 103, 5573 What are the prime factors of 346163? 41, 8443 List the prime factors of 4631425. 5, 61, 3037 What are the prime factors of 2120623? 23, 137, 673 What are the prime factors of 11385773? 7, 31, 71, 739 What are the prime factors of 228272? 2, 11, 1297 What are the prime factors of 11992412? 2, 17, 31, 5689 List the prime factors of 1606541. 1606541 List the prime factors of 9807966. 2, 3, 7, 31 List the prime factors of 10101101. 10101101 List the prime factors of 6255572. 2, 1563893 What are the prime factors of 259973? 7, 37139 What are the prime factors of 1975409? 1975409 What are the prime factors of 3334615? 5, 337, 1979 List the prime factors of 40538. 2, 20269 What are the prime factors of 6122473? 7, 874639 List the prime factors of 160879. 160879 What are the prime factors of 2219841? 3, 13, 18973 List the prime factors of 337749. 3, 112583 What are the prime factors of 22853735? 5, 4570747 What are the prime factors of 1371092? 2, 127, 2699 List the prime factors of 382930. 2, 5, 149, 257 What are the prime factors of 123528? 2, 3, 5147 What are the prime factors of 5241115? 5, 11, 8663 What are the prime factors of 15726837? 3, 7, 61, 12277 What are the prime factors of 352265? 5, 47, 1499 What are the prime factors of 138565? 5, 7, 37, 107 List the prime factors of 58788. 2, 3, 23, 71 List the prime factors of 14590712. 2, 29, 61, 1031 What are the prime factors of 1927068? 2, 3, 11, 13, 1123 List the prime factors of 6735165. 3, 5, 449011 What are the prime factors of 1235390? 2, 5, 13, 17, 43 List the prime factors of 96778. 2, 11, 53, 83 List the prime factors of 220864. 2, 7, 17, 29 What are the prime factors of 11858233? 59, 200987 What are the prime factors of 7368595? 5, 13, 113363 What are the prime factors of 13509307? 7, 73, 26437 What are the prime factors of 293544? 2, 3, 151 List the prime factors of 476017. 17, 28001 What are the prime factors of 4466705? 5, 893341 List the prime factors of 514033. 13, 39541 What are the prime factors of 132031? 19, 6949 List the prime factors of 295060. 2, 5, 14753 What are the prime factors of 394623? 3, 163, 269 What are the prime factors of 615982? 2, 47, 6553 What are the prime factors of 11268592? 2, 704287 List the prime factors of 4672483. 41, 113963 What are the prime factors of 17828506? 2, 8914253 What are the prime factors of 2709624? 2, 3, 112901 What are the prime factors of 779262? 2, 3, 11, 11807 What are the prime factors of 22669? 22669 List the prime factors of 74064. 2, 3, 1543 What are the prime factors of 568552? 2, 71069 List the prime factors of 149715. 3, 5, 1109 What are the prime factors of 7051978? 2, 37, 233, 409 What are the prime factors of 25839879? 3, 13, 23, 28807 List the prime factors of 249422. 2, 311, 401 List the prime factors of 3586911. 3, 131, 9127 List the prime factors of 22153506. 2, 3, 19, 29, 6701 List the prime factors of 10553114. 2, 11, 13, 36899 What are the prime factors of 44642614? 2, 367, 60821 List the prime factors of 330388. 2, 151, 547 What are the prime factors of 1934559? 3, 11, 19541 What are the prime factors of 2069417? 7, 157, 269 List the prime factors of 18433726. 2, 2777, 3319 What are the prime factors of 255107? 255107 List the prime factors of 467248. 2, 19, 29, 53 What are the prime factors of 742132? 2, 185533 What are the prime factors of 1386715? 5, 11, 19, 1327 List the prime factors of 3782989. 7, 277, 1951 What are the prime factors of 22216707? 3, 109, 7549 What are the prime factors of 2387539? 7, 11, 101, 307 What are the prime factors of 349288? 2, 43661 What are the prime factors of 766179? 3, 1051 What are the prime factors of 5575314? 2, 3, 653, 1423 List the prime factors of 5487571. 761, 7211 List the prime factors of 413060. 2, 5, 19, 1087 List the prime factors of 276131. 17, 37, 439 List the prime factors of 809029. 13, 62233 List the prime factors of 2533750. 2, 5, 2027 What are the prime factors of 19667242? 2, 7, 19, 107, 691 List the prime factors of 13828663. 883, 15661 List the prime factors of 813505. 5, 7, 11, 2113 List the prime factors of 164391. 3, 37, 1481 List the prime factors of 12863418. 2, 3, 19, 53,
{ "pile_set_name": "DM Mathematics" }
w**3 as r*w + h*w**3 + o + a*w**4 + b*w**2 and give a. -1 Rearrange -15 - 7*t + 9*t - 13 to the form l*t + d and give l. 2 Rearrange p**2 - 3*p**3 - p**2 - 24*p**3 + 0*p**3 - 35*p**3 + (-2*p**3 + 5*p**3 - 2*p**3)*(1 + 1 + 0) to the form r*p**2 + y*p**3 + a + x*p and give r. 0 Express -10*f**4 - 4*f**3 - 12*f**4 - 2*f**2 + 23*f**4 as n*f**4 + x*f + t*f**3 + o + q*f**2 and give q. -2 Express (-7*j - 9*j + 5*j)*(4*j - 3*j - 4*j) in the form r*j + i*j**2 + d and give i. 33 Rearrange -23*d + 9*d + 8*d + 7*d + 46 to u + g*d and give g. 1 Rearrange 4 - 6 - 6*r - r**2 + 2 to the form i*r + a + b*r**2 and give b. -1 Rearrange (-4*c - 2*c + 4*c)*((3 + 0 + 0)*(-3*c + 4*c - 2*c) + (0 - 2*c + 0)*(0 - 1 - 1))*(c - c - 2*c) to i + a*c**2 + g*c + r*c**3 and give r. 4 Rearrange -7*z**3 + 5*z**3 - 5*z**3 - 4*z - z**3 to d*z**2 + o + n*z + j*z**3 and give j. -8 Rearrange 4*z**3 - 3 - 3*z**3 + 6 + 8 to w*z + j*z**3 + x + s*z**2 and give x. 11 Express 2*u - 25*u**4 - u**4 - 2*u**3 + 22*u**4 + 2 in the form c*u + i*u**4 + t*u**3 + w*u**2 + b and give b. 2 Express 1 - 1 + 4*p**2 - 5*p**2 - 13*p in the form a*p**2 + z + d*p and give d. -13 Express -33*m - 18*m - 41*m + 11*m as u*m + y and give u. -81 Rearrange (4*o - o - o)*(0 + 0 - 2) + 7 + 0*o + o + 0*o + 0*o + o + o to the form n + y*o and give y. -1 Express -x**2 + 0*x + 2*x + 0*x - 2*x**2 + x**4 in the form u*x**4 + y*x + l + p*x**2 + o*x**3 and give u. 1 Rearrange (5 - 1 - 2)*(4 - 3*k - 4 - k + 3*k + 0*k + 0 + 0 + k + (2 + 2 - 5)*(2*k - k - 3*k))*(2 - 2 + 2) to the form o*k + f and give o. 8 Express d**3 + d**2 + d**3 - 4*d**3 in the form o*d + r*d**3 + h + s*d**2 and give r. -2 Rearrange 4*r - r**2 + 4*r + 0*r to the form y + n*r + u*r**2 and give y. 0 Rearrange ((-2 - 1 + 4)*(0*v**2 + 5*v**2 - 3*v**2) - v**2 - 5*v**2 + v**2)*(3 - 2 + 7*v - v**2 - 6*v) to a + w*v + b*v**2 + i*v**3 + k*v**4 and give b. -3 Rearrange -2 - 2*a**4 + 1 + 4*a**3 + 4*a**3 + 0*a**3 to w + m*a**3 + r*a + h*a**4 + b*a**2 and give h. -2 Express (-n + 0*n + 2*n)*(n**2 - 10*n + 999 + 0*n - 1001) as c*n**2 + t*n + h*n**3 + u and give c. -10 Rearrange (2*z**3 - 4*z**3 + 0*z**3)*(-2*z + 3 - 3) - z**4 + z**4 + z**4 + 4*z**4 + 42 - 42 to c*z**4 + d*z**2 + o*z**3 + q + s*z and give c. 9 Rearrange (-4 + 4 - 3)*(-c + 5*c + 7*c) + c - 2*c - 11 + 5 to the form o*c + w and give o. -34 Express 13*k**4 + k**2 - 10*k**4 + 4*k + k**3 - 3*k**3 as o*k**2 + s + f*k**4 + m*k**3 + t*k and give o. 1 Express -134*r**2 - 1 - 3*r + 0 - 2*r**4 + 133*r**2 in the form g*r**2 + n*r**4 + s*r**3 + o + f*r and give f. -3 Rearrange -2*m**3 + 7*m + 0*m**3 - 3 - 4*m + 6 to the form j*m**2 + b*m + i + u*m**3 and give u. -2 Rearrange (4 + 3 - 6)*(134*d - 2 + 1 - 81*d) to w*d + f and give w. 53 Rearrange -1 - 193*q + 157*q + 1 to u*q + o and give u. -36 Rearrange (-5*f + 3*f + f)*(-1 - 3 - 1)*(2 + 0 - 3)*(-2*f + 5*f - 4*f) to m*f**2 + q + b*f and give m. 5 Rearrange (-1 - 2 + 1)*(2*d + 3*d - 3*d) to the form l*d + g and give l. -4 Express -155*z**3 + 314*z**3 - 1 - 161*z**3 - 9*z + (2*z**2 - 2*z**2 + z**2)*(z - 5*z + 2*z) in the form l + d*z**3 + s*z**2 + w*z and give l. -1 Rearrange (1 - 1 - 7*u**2)*(u - 2*u - 3*u) to x*u + g + f*u**2 + h*u**3 and give h. 28 Rearrange -3*n + 5*n**2 - 3*n**2 + 2*n + n**2 - 4*n**3 to y*n**3 + x*n**2 + f*n + a and give x. 3 Rearrange (-51 - 3 - 26)*(0 + 0 - u**3) to l + i*u + m*u**3 + x*u**2 and give m. 80 Rearrange (-2 - 2 + 5 + (-3 + 1 + 0)*(-2 + 0 + 0) + 3 - 3 - 1)*(4*f - 2*f - 2 + 2*f) to y + r*f and give y. -8 Express -7*m - m - m - 7 + 4 in the form a + z*m and give z. -9 Rearrange (13*i**2 + 9*i**2 - 24*i**2)*(-i - 5*i + 5*i)*(1 + 3*i - i + 3) to s*i + n*i**4 + b + m*i**3 + r*i**2 and give m. 8 Express -i**3 - 77*i - 5*i**4 - i**3 + 80*i as z*i**3 + q*i**2 + g*i + h + d*i**4 and give d. -5 Rearrange 2 + 0 - 76*f - 2 to the form b + v*f and give v. -76 Rearrange 0*k**2 - k - 5*k**2 + 1 + 2*k**4 + 7*k**2 - 3*k**3 to i*k**4 + y*k + j + x*k**3 + h*k**2 and give j. 1 Rearrange -180 + 180 - 6*p**2 to the form q*p + a*p**2 + h and give a. -6 Rearrange 4*w**3 - 8*w**3 - 2*w**3 + 2*w - 14*w**2 - 3 + 5*w**3 to h + a*w**2 + o*w**3 + r*w and give o. -1 Rearrange -18 + 18 - 5*u to q*u + w and give q. -5 Rearrange 2*k**4 + k**2 - 19 + 2*k + 19 to the form r*k + b*k**3 + l*k**2 + x + i*k**4 and give b. 0 Express -i - 6*i - 5*i as c*i + m and give m. 0 Rearrange -2*l**2 + 4*l**2 + 2 - 2*l**4 + 14*l**3 - 15*l**3 to d*l + h*l**2 + j + s*l**4 + b*l**3 and give b. -1 Express -2*f**3 + 0*f**4 + 2*f**3 - f**3 + 2*f**2 + 1 - 2*f + f**4 as d*f**4 + a + v*f**2 + g*f + i*f**3 and give g. -2 Rearrange ((-77 + 94 - 52)*(4 - 1 - 1) - 2 - 3 + 4)*(0 + 2*r + 0) to y*r + v and give y. -142 Rearrange 2*p**2 + 25 - 26 + p**3 + 0*p**3 + 3*p**4 to d*p**3 + y*p**4 + n*p**2 + f*p + o and give y. 3 Express p**2 - 3*p + 3*p + (19*p**2 + 9*p**2 - 9*p**2)*(1 - 1 + 2) as m + k*p**2 + o*p and give k. 39 Express (3*p - 2*p - 17*p)*(3 - 1 - 1)*(8 - 6 + 0) as h + w*p and give w. -32 Express 1 - 1 - 2 + 2*v**2 - 3*v**2 as t + k*v**2 + h*v and give h. 0 Rearrange 8*m + m**2 - 3*m**4 + 0 + 2 - 7*m to the form p*m**2 + u + b*m**4 + x*m**3 + h*m and give u. 2 Rearrange -q**2 + 6 - 11 + 13 + 1 to b*q + l + u*q**2 and give u. -1 Rearrange -2*w - 3 + 10*w**2 + 5 + w**4 + 0*w**4 - 4 to the form i*w**4 + g*w + f*w**3 + k + r*w**2 and give r. 10 Express 117 - 117 - 20*f**2 + f in the form t*f + q + s*f**2 and give s. -20 Rearrange (-5*h + 4*h + 0*h)*(-4 - 1 + 3 + (1 + 0 + 0)*(0 - 1 + 0) + 4 - 3 - 2 + 1 + 0 - 3 + 3 - 2 - 2) to the form p*h + b and give p. 7 Express 17 - 8 - 11 + 2*d**2 as p*d**2 + q*d + f and give p. 2 Express (0 + 2 - 1)*(-2 + 2 + s) + 0 - 2*s + 0 + 4*s + 3*s + 0*s - 2 - 2*s + s - s in the form t + i*s and give i. 4 Rearrange -30*q**3 - 12 + 2*q + q**2 + 26 - 14 to d + g*q**3 + s*q**2 + h*q and give h. 2 Rearrange 63*h**3 - 2*h**2 - 25*h**3 - 35*h**3 to the form o*h + l*h**2 + d*h**3 + s and give l. -2 Rearrange (2 - 4 + 4)*(-q - 4 + 4) + q - 2*q - q - 2*q - q - q - 2*q + 2*q - q + (-4 + 5 + 1)*(-2 + q + 2) to the form u + l*q and give l. -7 Rearrange 0 + 5 - 18*c - 6 to f*c + z and give f. -18 Express -x + 1 + 0*x**4 - x**4 + 3*x - 3*x**4 in the form p*x**4 + r*x**2 + j + q*x**3 + w*x and give p. -4 Rearrange (2 - 5 + 1 + (-3 + 6 - 4)*(1 - 4 + 1) - 2 + 1 + 3)*(-j + 0*j - j) to the form b + w*j and give w. -4 Express (-1 + 1 + 1)*(1 - 2*v - 1) + 3*v - 2*v + 0*v + (-3*v - v + 2*v)*(-2 + 3 - 2) + 0 - v + 0 + 4*v - 4*v + 2*v in the form m*v + d and give m. 2 Rearrange p**2 + p**2 + 2*p**2 - 8 - 5*p**2 to i*p + j*p**2 + r and give j. -1 Express -1 - h**3 - 13*h**2 + 6*h**2 + 6*h**2 + 2*h**4 as j*h**2 + s + n*h**4 + w*h**3 + i*h and give n. 2 Rearrange 10*m + 2*m**2 - 7*m**2 - 2*m**2 + 6*m**2 - 4 to f + v*m**2 + k*m and give v. -1 Rearrange (0*r + 2*r + r)*(5*r - 5*r - 2*r**2) to the form g*r**3 + n*r + b + h*r**2 and give g. -6 Express n + n - 3*n + 2*n + 2*n - 6*n + (-2*n - n + 0*n)*(-1 - 5 + 4) in the form i*n + z and give i. 3 Express 682 - 2*q + 2*q**3 - 44*q**4 - 2*q**3 - 683 in the form j*q**2 + y + b*q**4 + d*q + h*q**3 and give b. -44 Rearrange 6*j**2 - 6*j**2 + 9*j**4 + 2*j - 3*j + 2*j**3 + 1 to the form l*j**4 + h*j + v + d*j**2 + q*j**3 and give l. 9 Express (-j**2 - 2*j + 2*j)*(0 + 0 + 5) in the form x*j + r*j**2 + g and give r. -5 Rearrange -13*w**3 - 2*w**3 - 3*w**3 + (w + 2*w - w)*(-3*w**2 + 3*w**2 + 2*w**2) - w**3 - w**3 + w**3 to the form h*w + d*w**2 + t + f*w**3 and give f. -15 Express -7*t**2 - 2*t**2 + 4 - 2 + 0 in the form n*t**2 + u + v*t and give n. -9 Rearrange (-4*g - 5 + 5)*(0*g + g + g) + (-2*g - 4 + 4)*(-g + 2*g + 0*g) to b + k*g + m*g**2 and give m. -10 Rearrange 1 - 25*r**3 + 0 + 23*r**3 + 9 to the form o*r + j + s*r**3 + c*r**2 and give j. 10 Express (1 + 1 + 2)*((1 - 2 + 3)*(5*t + t - 5*t) + 8*t - 2*t - 2*t)*(-1 + 1 + 3) as m + l*t and give l. 72 Express h**4 + h - 2*h**4 + 39 + 8*h**2 - 39 in the form j*h**2 + a*h + p*h**4 + n + i*h**3 and give n. 0 Express 2*o**3 + 54*o**2 - 15*o**3 - 51*o**2 + (1 + 2 - 1)*(-3*o**3 + o**3 + o**3) in the form q + a*o**2 + z*o**3 + r*o and give a. 3 Express (0 + h**3 + 0)*(7 + 10 + 1) + (-h**3 - h**3 + 0*h**3)*(6 - 3 - 1) as b*h**3 + a + f*h**2 + t*h and give f. 0 Rearrange 55*w**2 + 3 + w**3 - 55*w**2 to k*w**2
{ "pile_set_name": "DM Mathematics" }
.11910829. -1.05910829 -24289537+-1865740 -26155277 What is 0.52 + -105623022.72? -105623022.2 Calculate -356894 + 80001.3. -276892.7 What is -3955 - 192627160? -192631115 Calculate 277997957756 + -4.4. 277997957751.6 186600093447 - 34 186600093413 Subtract -9 from -1274796792.629. -1274796783.629 What is -3 plus 15646537145094? 15646537145091 What is the distance between -29911 and 6299487409? 6299517320 What is the distance between 0.1 and 28938.5542045? 28938.4542045 What is -154544030 - -183254? -154360776 7 + 12627796481 12627796488 Sum -0.3 and -53195491505725. -53195491505725.3 What is the distance between 559272609594 and 1.4? 559272609592.6 Total of 386 and -125255116267. -125255115881 What is -4.2 plus 7877702714? 7877702709.8 What is 11627938843751 less than -2.4? -11627938843753.4 Work out 573.842 + 126605.3. 127179.142 Work out 46818635470 + -62. 46818635408 What is -36 + 3094624132871? 3094624132835 Add -0.136172 and 54910.25. 54910.113828 Put together 0.038 and -48891634072. -48891634071.962 Add -672.71832274319 and -0.8. -673.51832274319 What is the difference between 10.96 and -22987504326? 22987504336.96 Sum 307153.46 and 5464985. 5772138.46 Sum -46 and 0.5469000693059. -45.4530999306941 What is -70 take away -490.2709329? 420.2709329 Calculate -2 + -1758914890112. -1758914890114 793835.76 - 4874 788961.76 What is 321634 take away 25222297? -24900663 Sum -405182427 and 17955. -405164472 Work out -16.774 + -1338644. -1338660.774 What is 241023565291 - 0.2? 241023565290.8 What is -82571514 - 0.0099773? -82571514.0099773 Sum -7.71 and -7460.7268833. -7468.4368833 What is 1670761762667 + 0.23? 1670761762667.23 Add together 8106310 and 0.55770837. 8106310.55770837 What is 2 minus 15191907939? -15191907937 -3+-31.0766308 -34.0766308 -662144398.378+-1 -662144399.378 What is the distance between -1.77575 and -4697618638? 4697618636.22425 What is 0.06 plus -368595260056? -368595260055.94 What is the difference between 0.18321956 and 24.41? 24.22678044 -0.5098 + 88898395 88898394.4902 What is -127 minus 6737403546? -6737403673 What is 2 plus -1107215054944? -1107215054942 What is -4.68 - 3027686584? -3027686588.68 What is -153.9 take away -216.46218458? 62.56218458 Work out 21 - -1326135245. 1326135266 Work out 0.3 - 66606088927931. -66606088927930.7 -0.7845 + -1.6866843657 -2.4711843657 Calculate -3.9 - -911419282. 911419278.1 -10461253.37 - -945 -10460308.37 Sum -2.8 and -0.46439835365. -3.26439835365 What is the distance between 357080259.007 and 0.4? 357080258.607 Put together 0.5 and 645059384.46. 645059384.96 Total of 0.063 and 469442798. 469442798.063 What is the difference between 68145366295455 and 2? 68145366295453 -5988052 + -17.291 -5988069.291 Work out -136.17741 - 3450.44. -3586.61741 What is -5087317065 + 647? -5087316418 What is 14 minus -0.503919056431? 14.503919056431 What is the difference between -0.5 and 837781494616? 837781494616.5 Sum -15609 and -244.42781. -15853.42781 Put together -28.7846 and -390.6586. -419.4432 What is 32115.9989992 + -31.2? 32084.7989992 What is 445.3204 less than 10070430? 10069984.6796 -157.2 - 126029251 -126029408.2 What is -3034852594634 take away -3? -3034852594631 Work out -88939733.07 - -19.3. -88939713.77 What is the distance between 0.215166 and 1152699? 1152698.784834 Total of -77.5812129673 and 0.5. -77.0812129673 Put together 235229999 and 381292. 235611291 What is -10970444563 take away 0.0235? -10970444563.0235 Put together 0.011338 and 70.88547. 70.896808 What is the distance between -16729 and -777977? 761248 What is -4824 minus -58269412827? 58269408003 Put together 0.9 and 37889225652956. 37889225652956.9 What is -653.43965 take away 3.65881? -657.09846 What is the difference between -30195.16 and -0.13639281? 30195.02360719 Work out 0.064 - -7332143933667. 7332143933667.064 What is 1351931 + -313201377? -311849446 Add together 289340.0646898 and 0.045. 289340.1096898 What is the distance between -81375 and -0.031935518? 81374.968064482 2550927507305.4 + -0.4 2550927507305 Total of -858845 and -22296357. -23155202 What is the difference between 51852181706 and -3? 51852181709 What is -0.073 take away -112363788739? 112363788738.927 -0.4 - 0.495004826716 -0.895004826716 -66 + 163.8732090273 97.8732090273 Calculate -4 - -130945654297. 130945654293 -3 - -3927.4166923 3924.4166923 Subtract 3955509.6 from -19525. -3975034.6 What is the difference between 5559066 and -590987.3? 6150053.3 0.2877 - 728.945781 -728.658081 What is the difference between -17426 and 218916143? 218933569 Sum 188231 and 1299047438. 1299235669 What is the difference between -0.03589 and 490.3956484? 490.4315384 What is 77610.44 take away 20417? 57193.44 Calculate 14109244303.663 - -2. 14109244305.663 What is 0.3 + 13847734991637? 13847734991637.3 What is the distance between 0 and -6640155250403? 6640155250403 What is -2.6095 + 711544.4? 711541.7905 Subtract 364 from -8393333.771. -8393697.771 Subtract -0.1 from 8831300.50423. 8831300.60423 What is -72966152 minus 880? -72967032 38656 + 1632769.2 1671425.2 -1159963861961 - -9 -1159963861952 Sum 285976.54 and 3882. 289858.54 What is -386.1793 plus -44785? -45171.1793 What is -11 take away -0.057921291442223? -10.942078708557777 What is -391969 plus 380595? -11374 Add -346330 and -1.23233608. -346331.23233608 Subtract 988 from -6190.9636035. -7178.9636035 What is the difference between 545.769383814 and 5? 540.769383814 Subtract 342814778 from 392. -342814386 What is -73264992 plus -327454? -73592446 -116.5992565+-7.1 -123.6992565 Add -719 and -197.9928461. -916.9928461 Work out -41.88263 + 268086. 268044.11737 What is -671 less than -0.067741603? 670.932258397 What is 195 less than -13381336996? -13381337191 What is -1.0321 - 1718185365? -1718185366.0321 Add -13981 and 3176416. 3162435 What is 8.51483 take away 2160.696? -2152.18117 Calculate -56 - 1037116514374. -1037116514430 Put together -6594.75905 and -6635. -13229.75905 Work out 7 - -42345.24617. 42352.24617 -18256110812.3+-0.01 -18256110812.31 What is -138.194392 plus 79.1? -59.094392 What is -0.6921944 + -11.264? -11.9561944 What is -3 take away 311410811600104? -311410811600107 Put together -94750881 and -4.0789. -94750885.0789 1587919743514 + -15 1587919743499 Sum -1990721495 and -0.4. -1990721495.4 -25143 - -10444032 10418889 Work out -497033.991529 + 6.4. -497027.591529 What is 4258.04579 plus -0.0226? 4258.02319 What is 91944481719 less than -9? -91944481728 991610344 + -11.2 991610332.8 Calculate 0.036 - 106747857714. -106747857713.964 0.9787359+25210.75 25211.7287359 Sum 1784514.637 and -305062. 1479452.637 What is the distance between -40030.7 and -4322556? 4282525.3 What is -1927558358 minus -100.67? -1927558257.33 What is the distance between -0.520406126176 and -8? 7.479593873824 Work out -77.8459758779049 + -1. -78.8459758779049 9960396.6 + 250 9960646.6 Calculate -1 + 72079470611. 72079470610 Put together -24726983419454.3 and 0.3. -24726983419454 Calculate 1056.612589333 + -0.1. 1056.512589333 0.1106 - 41802736.7 -41802736.5894 What is -15.8825343 plus -0.014636? -15.8971703 Sum 7198867506468 and -0.5. 7198867506467.5 Add together 453174.6 and -7.91258. 453166.68742 Add -3277 and -0.092354. -3277.092354 Work out -1 - 1510638757.1231. -1510638758.1231 What is 313490 plus -57.06226? 313432.93774 Total of -693511704009 and 0.2. -693511704008.8 1139 - -0.14969234154 1139.14969234154 6+986951539.93 986951545.93 Subtract 37086902024 from -6. -37086902030 Put together -2.6 and -0.131152431646. -2.731152431646 Put together 0.166 and 2618777301. 2618777301.166 What is 0.3002 - -9.4955876377? 9.7957876377 What is -471367150540603 take away 2? -471367150540605 What is 279.8 plus -287.614516? -7.814516 Calculate 94620194946360 + 3. 94620194946363 -476.00746584 - -0.5 -475.50746584 Add together -56935.5393 and -2417.2. -59352.7393 What is -1356924888 plus -7.944? -1356924895.944 What is -3 + 170548684800? 170548684797 What is -1.881 plus -1469.5678? -1471.4488 What is 1151652.2 minus -233252? 1384904.2 Calculate -35 + -0.6586494701. -35.6586494701 What is the difference between -1 and 10.1332970129? 11.1332970129 Work out 41.766973 - -0.1758. 41.942773 Calculate -3941104790 - 1220. -39411060
{ "pile_set_name": "DM Mathematics" }
+ 151a0? 9a66 In base 15, what is 0 - -61274a? 61274a In base 2, what is -110110100011111110101011 + 101? -110110100011111110100110 In base 11, what is -851a413 - -4? -851a40a In base 14, what is -3 - 6418c? -64191 In base 14, what is 3c8 + -2c29? -2841 In base 7, what is 21 + 12301423? 12301444 In base 7, what is 1134622 - -142? 1135064 In base 16, what is -19aca + -1a? -19ae4 In base 6, what is 3421500 + -2300? 3415200 In base 2, what is -100111111101001001100111 - 11? -100111111101001001101010 In base 7, what is -452265 - -5216? -444046 In base 14, what is 92 + -7c42? -7b90 In base 6, what is -1044 + -424142? -425230 In base 13, what is -4066 - -154? -3c12 In base 5, what is -424132 + -342030? -1321212 In base 8, what is 2113310427 - -4? 2113310433 In base 7, what is -4 + -136362454? -136362461 In base 8, what is 4 + -3054236? -3054232 In base 5, what is 431122320 - 3? 431122312 In base 11, what is -3096a76 + 40? -3096a36 In base 15, what is -54be4 - 1a? -54c0e In base 8, what is -4 + -67112771? -67112775 In base 3, what is 20110 - -22222022122? 22222120002 In base 13, what is -34959 - -89? -348a0 In base 5, what is 204103 + 120003? 324111 In base 11, what is -128 + -291017? -291144 In base 10, what is -79 + -4224064? -4224143 In base 13, what is 11a - -16288? 163a5 In base 16, what is -7379aea + 3? -7379ae7 In base 11, what is 2572429 + -21? 2572408 In base 7, what is -1462030 + 411? -1461316 In base 6, what is -450121222 + 21? -450121201 In base 10, what is -7807762 + 2? -7807760 In base 14, what is 1d + 32db92? 32dbb1 In base 3, what is -1220 - 1020022100? -1020101020 In base 5, what is -14410404221 + 43? -14410404123 In base 15, what is 1c54 - 321? 1933 In base 7, what is 341 - -1204060? 1204431 In base 12, what is 3b170b1 - 0? 3b170b1 In base 5, what is -442022412310 + 3? -442022412302 In base 9, what is -1 - -4521402? 4521401 In base 2, what is -11111110111100000 - -1101111? -11111110101110001 In base 2, what is 10010011000 - -1110111111011100? 1111010001110100 In base 4, what is -1000231120 + 102013? -1000123101 In base 10, what is 712 - -30905? 31617 In base 11, what is 7aa8521 + -8? 7aa8514 In base 16, what is -d4d9 + 246? -d293 In base 9, what is 4 - 1503541? -1503536 In base 5, what is -142232 - 2011410? -2204142 In base 7, what is -31651312 - 215? -31651530 In base 10, what is -276 + -19123? -19399 In base 12, what is -927b1 - -a17? -91996 In base 4, what is 211 - 103313212010? -103313211133 In base 7, what is -22326301630 - 1? -22326301631 In base 12, what is 5 + 2a92848a? 2a928493 In base 8, what is 23 + 653711? 653734 In base 3, what is -110020002012110 - -2? -110020002012101 In base 5, what is 13242133 - 0? 13242133 In base 10, what is -15911024 - 17? -15911041 In base 14, what is -97aad1 - 3? -97aad4 In base 4, what is 212131203 + -212220? 211312323 In base 14, what is 7174b - 7? 71744 In base 16, what is -1 - 15d664? -15d665 In base 5, what is -234343221 + -2? -234343223 In base 8, what is -11066415676 + -4? -11066415702 In base 9, what is -66 + -1676666? -1676743 In base 9, what is -4 - 43075424? -43075428 In base 15, what is -1eae8a + 5? -1eae85 In base 8, what is -4 + -134240254? -134240260 In base 2, what is 1000111101011001001010111100 - 0? 1000111101011001001010111100 In base 5, what is -44422 - -214000? 114023 In base 16, what is 1dff5c - -b? 1dff67 In base 6, what is 34130542 + -15? 34130523 In base 15, what is 8 + 141224? 14122c In base 9, what is -11328776 - 0? -11328776 In base 2, what is -10101001101011100010101000110 - -11? -10101001101011100010101000011 In base 5, what is 3333431 + 224100? 4113031 In base 8, what is -4263635 + 0? -4263635 In base 11, what is 23 - -51aa3? 52016 In base 7, what is -431 - -55420? 54656 In base 2, what is 11001001000111 - -111110000101? 100000111001100 In base 8, what is 13657200 - 3? 13657175 In base 4, what is -11202203110 + 13320? -11202123130 In base 7, what is 3000300 + 1525? 3002125 In base 2, what is 11 + 1001011000101011001101101? 1001011000101011001110000 In base 12, what is 803289 - -2? 80328b In base 13, what is 2847175a4 - 1? 2847175a3 In base 10, what is 182 - 98063? -97881 In base 4, what is 120112132111 + -120? 120112131331 In base 15, what is 50 - -187084? 1870d4 In base 11, what is 64241 - -23a5? 66636 In base 8, what is -5 + 102541651? 102541644 In base 11, what is 75a6875 - 3? 75a6872 In base 11, what is -215107 - -30? -215087 In base 12, what is -1362 + 115194? 113a32 In base 2, what is -1111011011111000011 - 111110? -1111011100000000001 In base 16, what is 543eb7 - -7? 543ebe In base 4, what is -101013222233 + -2? -101013222301 In base 13, what is 22 + -153a33? -153a11 In base 12, what is 170140 - -20? 170160 In base 14, what is 82053 + ac6? 82b39 In base 4, what is -21210201112 - 0? -21210201112 In base 5, what is -343331 - -21112? -322214 In base 12, what is -1a176a2 - -11? -1a17691 In base 5, what is 43240444 + -11344? 43224100 In base 3, what is -11 + -2212001222012212? -2212001222020000 In base 10, what is -1 - 386504? -386505 In base 10, what is -797 - 15826? -16623 In base 11, what is -4178a3515 + 0? -4178a3515 In base 6, what is -2022121 - 32? -2022153 In base 3, what is -11 - 22102110102112? -22102110102200 In base 5, what is -22144002 + 4? -22143443 In base 14, what is 25 - -45824? 45849 In base 4, what is 3001220123 - -2122? 3001222311 In base 14, what is 12 - -13928d? 1392a1 In base 14, what is 3 + 465c194? 465c197 In base 12, what is -66727 - 133? -6685a In base 2, what is -11 - 101100100011111000001? -101100100011111000100 In base 14, what is 3d33bc2 + -2? 3d33bc0 In base 4, what is -2133 + 223330112? 223321313 In base 15, what is 9b7e6 + 18? 9b80e In base 12, what is 2 - -8080431b? 80804321 In base 13, what is -47521a + -5? -475222 In base 7, what is -2633354 - 2156? -2635543 In base 14, what is b65a7da + 3? b65a7dd In base 6, what is 134512 + 2330? 141242 In base 5, what is 134231013 - 13? 134231000 In base 4, what is 33211122 - -210? 33211332 In base 8, what is 5 + 3264751? 3264756 In base 3, what is 1101 - -20012122001? 20012200102 In base 14, what is 11 + -c87cd6? -c87cc5 In base 12, what is -4103 - -5ba? -3705 In base 7, what is -62 + 44043446? 44043354 In base 2, what is -10011 - -111011000011010111101000? 111011000011010111010101 In base 9, what is 206 - -1748803? 1750110 In base 12, what is 179 + -54572? -543b5 In base 12, what is -50 + 1a04690? 1a04640 In base 8, what is 21 - -22065636? 22065657 In base 9, what is -8604 + -3? -8607 In base 5, what is 11442 + 331144? 343141 In base 14, what is -106615 + 15? -106600 In base 5, what is 3 - -233200413? 233200421 In base 13, what is 1439 + 16890? 17cc9 In base 11, what is 87a - 302635? -301866 In base 4, what is 10201 - -22312013? 22322220 In base 10, what is 1764 - 244973? -243209 In base 8, what is 1531650354 - -4? 1531650360 In base 14, what is 56 + -14bdd? -14b87 In base 3, what is -10 + 1220222100100? 1220222100020 In base 8, what is 5 - -137025250? 137025255 In base 13, what is 28c4c + 88? 29007 In base 2, what is -10000101111110010111 + 110000010? -10000101111000010101 In base 7, what is -305536 - 653? -306522 In base 3, what is -11 + 1020200020000? 1020200012212 In base 12, what is 7163775 + -5? 7163770 In base 5, what is -1 - 20243433123? -20243433124 In base 14, what is -1a59 - 312b3? -32d2c In base 4, what is 32323130113123 - 2? 32323130113121 In base 10, what is -1 + -69873506? -69873507 In base 16, what is b6bb95 - 74? b6bb21 In base 15, what is 4 + -13e6061? -13e605c In base 5, what is 242121202024 - 10? 242121202014 In base 11, what is 244585153 + -2? 244585151 In base 5, what is -130 + -14140131? -14140311 In base 16, what is -8 + 13d5d08? 13d5d00 In base 14, what is -42829 + 7? -42822 In base 10, what is -23 + -5806321? -5806344 In base 5, what is 10 - -31314044444? 31314100004 In base 11, what is 94 + 24543a4? 2454488 In base 5, what is -10144 + -20404? -31103 In base 5, what is 31224133140 + -4? 31224133131 In base 3, what is 12202 - -122220101122? 122220121101 In base 14, what is 11087 - -213? 1129a In base 7, what is -235035 - -303? -234432 In base 16, what is 2 - -fdc70? fdc72 In base 15, what is 4d + 77c34? 77c82 In base 8, what is -131412 + -252? -131664 In base
{ "pile_set_name": "DM Mathematics" }
/735? 1/21 What is the value of 7/(56/88) + -8 + 11? 14 What is (5/2*180/50)/(-3)? -3 Evaluate 2464/(-858) + 5 + (-10)/6. 6/13 Evaluate ((-6)/(-78) - (2828/91 - 3)) + -5. -33 Evaluate 5 + (-6 + (-168)/(-20))/((-6)/15). -1 Evaluate 19/(-10)*30/(-63) + 2/3. 11/7 Evaluate (-12 + (-37)/(-3))/((-4)/36). -3 238/68*-1*(-42)/(-49) -3 Calculate 2040/(-357) + -3 + 76/28. -6 Evaluate (256/12)/8*4/336*-1. -2/63 1604/(-44) + (4*2 - 13818/1617) -37 (-600)/96 + (-7)/((-14)/12) -1/4 (14/28)/(23/1058) 23 Calculate ((-3253)/(-13012))/(1/(-53 - -1)). -13 Evaluate 47/(-15) - (0 + (-216)/162). -9/5 Evaluate 214/(-42) - 160/(-48)*(-24)/(-16). -2/21 What is the value of ((-105)/(-63) + -2)/(15/(-171))? 19/5 -24*(-20)/(1040/(-33)) + 15 -3/13 Calculate (-10)/(-6)*(-1998)/555. -6 Calculate ((-3)/10)/(76/(-266)*3/(-5)). -7/4 What is (-99)/121*77/(-42)? 3/2 45/(156 - 21) - (-50)/3 17 Evaluate 14/(5*104/(-390)). -21/2 What is (8/(-28) - 32/(-14)) + (-278 - -277)? 1 What is ((-4)/(-42))/((552/180)/(-23))? -5/7 18 + (-9 - -17) - 32 -6 Evaluate (-312)/5616 - (-754)/(-36). -21 What is the value of -1*12/32 + -8 + (-620)/(-32)? 11 Evaluate ((-8)/(-8) - (-3542)/(-4147)) + (-6)/78. 2/29 What is 9520/33150 + (-2)/13*1? 2/15 Calculate (-1 - 0) + 73/(-7) + 144/(-252). -12 -12 - (-2 + 4 + (-25)/5) -9 What is (2 - 4)*(-11)/((-176)/24)? -3 What is (3 - 7/21)/(7/21)? 8 (-341)/(-155)*(0 - 30/24) -11/4 Calculate ((-1248)/1300)/((-54)/(-90)). -8/5 What is ((-6)/(-10) - 0)/(20/(-500))? -15 What is 2/(1*(-2 - -1))? -2 What is the value of (-7 - -3 - 26/(-6))/(35/(-315))? -3 Calculate -5 + (0 - -3) - (4 + 5). -11 What is the value of (3 - -1)/(-37 + (-28)/(-4))? -2/15 Evaluate ((-46)/345)/((-3)/45). 2 What is (-2 - 21) + (-1521)/(-65)? 2/5 26 - (42160/(-323))/(-5) -2/19 What is the value of (-72 + 80)/(22/(-6) + (-9)/(-27))? -12/5 Evaluate (288/(-108))/(1/((-36)/8)). 12 Evaluate 72/(-15)*35/(-14) + 45/(-9). 7 Evaluate (-4 - -1 - 1)*(-3 - 3075/(-1020)). -1/17 What is the value of (13 - 689/52)/((-1)/(-4))? -1 What is (-6)/4*(780/450 - (-4)/(-10))? -2 What is the value of -9 - (-8)/(-1 - (5 + -8))? -5 Evaluate 9/42*480/(-360). -2/7 Calculate (8/30)/((-30)/(-60)*8/(-6)). -2/5 Calculate 3*-13*(54/(-3) + 3859/227). 39 Evaluate -17*91/(-663) - 10/(-6). 4 What is the value of ((-35)/3 - 2/6)/(4940/(-494))? 6/5 1 + 17/(-15) + 19899/405 + -37 12 Evaluate ((24/(-18))/2)/((45/9)/(-120)). 16 (276/644)/(2 - 1) 3/7 What is the value of 30/8*((-3340)/(-501) + (-14)/2)? -5/4 -29 + 24 + -12 + 11 -6 What is ((-10)/(-8) + -1)/(-58 - 19065/(-328))? 2 What is 1/(-18) + -17 + (-1460)/(-360)? -13 2070/90 - (-1 + 14) 10 Evaluate (0 - 2)*(12/(-42) + 848/224). -7 What is (-4352)/1105 - (-374)/85? 6/13 Evaluate 204/(-60)*-15 + -19. 32 What is (-42)/4*27/((-2079)/(-110))? -15 What is the value of (-1)/38*(-78)/9 - (-5)/(-15)? -2/19 Evaluate 22 + (-30)/5 - 9. 7 What is (2/(480/(-910)) - -4) + (-2)/6? -1/8 Evaluate (-288)/33 + (15 - 6). 3/11 What is ((-21)/15 - 14*620/(-5950))*-3? -3/17 What is (-35)/(-28)*(-144)/(-30)? 6 (-1 - 14 - -1) + (-18280)/2285 -22 (-37 - -39) + 25/(-3) + (-6)/9 -7 ((-744)/64 - -14)/((-4)/(-32)) 19 Evaluate 41/22 - 105/70. 4/11 What is the value of (136/(-18))/17 + (264/(-189))/(-4)? -2/21 Calculate (-9)/(-11)*((-11720)/160 + 76). 9/4 What is (-270)/(-297) + -16 - (8/(-4))/22? -15 Calculate (4/6)/((-2542)/(-93) + -22). 1/8 Evaluate (120/(-210) + 48/35)*-5 + 10. 6 6 + (320/(-96) - 6/9) 2 Calculate 4/(-13)*23465/722. -10 1/((-9)/81*((-5 - -6) + 0)) -9 What is ((-480)/64)/(6/(-4))? 5 (-679)/(-97) + (-178)/26 2/13 -3 - -1 - (153/(-21) + 6) -5/7 What is ((-8)/8)/((-234)/(-1122) - 8/68)? -11 Evaluate (-12)/(-26)*(-44)/132. -2/13 Calculate (65/(-26))/((-42)/(-252)). -15 0 - -32 - (3567/116)/41*-4 35 What is (489/(-99) - 74/1221)*1? -5 Evaluate 21714/20727 - 9/(-7). 7/3 39116/(-3048)*(-2)/(-14) -11/6 What is ((2/12)/1)/((-2)/(-3) - 4)? -1/20 What is the value of (-1)/10*(-1281 - -1276)? 1/2 Evaluate 190/(-19) + 27 - 0. 17 4/(-10)*(115/20 - (5 - 3)) -3/2 ((-36)/(-2))/((-5 + 10)*42/280) 24 Calculate 0/((-6 - -5)/1) + (-9 - 0). -9 Calculate 15 + -2 - (-155)/(-5). -18 (12/5)/(402/(-5695)) -34 What is the value of (2/(-30))/(1034/55 + -20)? 1/18 Calculate (21 - 428/20)/((-1)/13). 26/5 What is 22/72 - (44/(-48) - -1)? 2/9 Calculate 15 - ((-60)/(-105) - -15). -4/7 What is the value of 59 + -23 + -31 - (-26)/(-3)? -11/3 7 + (278/(-21) - (-18)/(-42)) - -6 -2/3 What is 189/(-135) + (16/56 - 428/(-70))? 5 Evaluate (-5 + -2 - -6) + (-7 - -17). 9 What is the value of 2800/(-4000) + (-12)/(-10)? 1/2 What is 40/180 + (-46)/18 + 4/(-6)? -3 (-29)/(-2) + -2 + 4014/2676 14 ((-10235)/6675)/(46/(-12)) 2/5 (-2380)/395 + (667/116 - (-1)/4) -2/79 What is the value of (5*(-16)/8)/(12/(-12)*3)? 10/3 4/(-7*(6 - 3760/630)) -18 ((-22)/(-418))/((-77)/(-19) - 4) 1 What is the value of ((-27)/(3240/80))/(5/((-1125)/6))? 25 (-224)/288 - (-16)/(-72) -1 What is ((-429)/(-44) + -12)*(-48)/4? 27 (-14)/4 + 22/132 + (-4884)/(-1287) 6/13 470/(-104) - 18221/(-3836) 3/13 Calculate 10/4*3773/(-2695). -7/2 Calculate 10 - 25 - -6 - 13/(-2). -5/2 Evaluate ((-2)/(-12))/((-6)/(-440)) + (-1422)/6399. 12 Evaluate 2905/(-28220)*24/(-14). 3/17 72/(-9600)*-70 + 2/(-5) 1/8 Calculate -1 - ((-340)/(-90) + 8/72*-1). -14/3 What is the value of ((-405)/35 - -9)/((-12)/(-42))? -9 What is the value of ((-5)/((-130)/(-36)))/(16/(-104))? 9 What is 37 + -29 + (-49)/6? -1/6 What is 96801/7083*(-3 + 0)? -41 -10 - (-4)/(24/114) 9 Calculate (-17715)/14172 - ((-34)/8 - -2). 1 Calculate (-7)/(6 - -1)*(0 + -6)/(-6). -1 (-18*21/756)/(2/48) -12 What is the value of (-2)/(24/(960/340))? -4/17 What is (-22)/(-11) - 9 - (1 + -1)/(-3)? -7 What is the value of (53 - 53)/((-1)/(-2)*4)? 0 Calculate (55/(-440))/(7/(-3 + -291)). 21/4 What is the value of ((-6)/(-10))/(((-17043)/475)/23)? -5/13 What is -43*1 + 183 + -169? -29 What is the value of ((-1)/((-4)/8))/((-15)/120)? -16 Calculate ((-27)/78)/(1392/(-1508)). 3/8 150/(-1000) - 9/(-12) - (-184)/10 19 6/(-45) - 72/(-315) 2/21 Evaluate 1/((-1)/(-30)) - (-33 + (75 - 34)). 22 Calculate (5/(50/(-4)))/((-1266)/30595)*-3. -29 Evaluate (-11)/385*-15 - (-258)/(-14). -18 Calculate (-8)/26 + (-178)/13. -14 What is (-1 - 1) + ((-16065)/90)/(-119)? -1/2 Evaluate 7 + 2 + -10*(-279)/(-468) + -3. 1/26 What is 1920/3360 - ((-64)/7)/(-2)? -4 Calculate ((1 + 13 + -11)/(-1))/((-1)/(-5)). -15 What is (10 + 0)/(114/171)? 15 Calculate (-6)/11*148/296. -3/11 What is (56/196)/(-10*4/(-140))? 1 Calculate ((-5)/(75/6))/(15 + (-5264)/350). 10 201/1518 + (-50)/575 1/22 Evaluate ((-35970)/630 - -57)/(4/(-147)). 7/2 252/35 + (-21)/105 7 (-343)/(-1092) + (-18)/78 1/12 Evaluate (820/30 - 27)/((-1)/12)*1. -4 What is the value of (-95)/380*(2 - 0)*14? -7 Calculate (60/50 - 3)/(0 + 12/(-20)). 3 What is the value of (-306)/(-2907) - ((-3790)/95 + 0)? 40 What is (-9)/(-27)*-27 + (-46)/(-2)? 14 (-34)/(-40 + 23)*(-1)/24 -1/12 Evaluate (2070/(-60) + 39)*(-2)/3. -3 4462/598 + 3 + 0 + 50/(-5) 6/13 Calculate -1*(4 + 153/(-34)). 1/2 Calculate (4/22*(-550)/(-150))/((-6)/81). -9 What is the value of ((-2)/90)/((-3955)/210 - -19)? -2/15 Calculate (-4)/(-4) - (390/84)/5. 1/14 Calculate (-1)/(-5 - (-152)/30). -15 What is the value of -1*(-141)/(-168) - ((-540)/(-32) + -17)? -5/7 What is the value of 7696/(-351) - ((-28)/7 + (-220)/(-54))? -22 Evaluate (2/(-22))/(533/(-5863)). 1 Calculate (4 - (-148)/(-40))/(-10*(-6)/240). 6/5 1 + 11 + 3156/(-108) + 15 -20/9 What is the value of (-70)/25*(-7 + 273/42)? 7/5 -9 + 6/(-114) + 9 -1/19 Calculate (2996/84 + -21)*(15/6 + -1). 22 What is the value of (2 - (-20)/(-6))*(-51)/2414? 2/71 What is ((12/(-2))/(-2))/(-1 + 41/2)? 2/13 What is -15 - -18 - (-1 - -2)*3? 0 What is 7 + 26 + (-18 - 14)? 1 What is (-74585)/(-1155) + -64 + (-12)/22? 1/33 Calculate 10/(-8)*672/60. -14 What is the value of ((-60)/25)/(-2) - (-2)/(-10)*3? 3/5 Evaluate (6/(-24))/(52/5200). -25 Calculate (-940)/168 - -5 - (-25)/50. -2/21 Evaluate ((-3)/(-36))/(1055/(-9495)). -3/4 ((-39)/(-2))/3 - (-97)/194 7 318/22 - (-27 - (-504)/12) -6/11 Calculate (4/(12/1))/(-5). -1/15 Calculate (14/28)/(42/(-4) + 3). -1/15 Calculate 15/(-40)*2*1. -3/4 What is the value of 1506/520 + 96/624 + 12/(-15)? 9/4 Evaluate ((-42)/4)/((-114)/76). 7 What is (-153)/34*160/48? -15 Calculate 15 - (
{ "pile_set_name": "DM Mathematics" }
meters? 8306296 What is 6/25 of a centimeter in micrometers? 2400 What is 8.35868 centimeters in meters? 0.0835868 What is three tenths of a tonne in kilograms? 300 How many months are there in 9290.43 years? 111485.16 What is 3/5 of a century in decades? 6 Convert 96.40886 centuries to millennia. 9.640886 How many millimeters are there in 37/5 of a meter? 7400 What is 26333.355 months in millennia? 2.19444625 How many centimeters are there in 43/4 of a meter? 1075 How many micrometers are there in three sixteenths of a centimeter? 1875 Convert 0.8186481ml to litres. 0.0008186481 How many months are there in 17/2 of a year? 102 Convert 130060.7 micrograms to nanograms. 130060700 What is three eighths of a litre in millilitres? 375 What is 680.1178 kilometers in millimeters? 680117800 What is 0.5576557 days in nanoseconds? 48181452480000 Convert 6066.637 kilograms to milligrams. 6066637000 What is 93.70984ml in litres? 0.09370984 How many weeks are there in 1350.51819 hours? 8.03879875 What is 36.27372 millennia in centuries? 362.7372 Convert 27.79619 nanometers to meters. 0.00000002779619 What is six fifths of a minute in seconds? 72 How many nanometers are there in fifty-one quarters of a micrometer? 12750 What is eleven halves of a century in months? 6600 How many years are there in 3/10 of a millennium? 300 How many years are there in 810.8519 decades? 8108.519 How many decades are there in twenty-one fifths of a century? 42 How many nanograms are there in 48/5 of a microgram? 9600 What is three eighths of a day in seconds? 32400 Convert 3.728215nm to centimeters. 0.0000003728215 What is 25/2 of a microgram in nanograms? 12500 What is thirty-seven fifths of a micrometer in nanometers? 7400 Convert 57.13199 litres to millilitres. 57131.99 What is one tenth of a century in months? 120 What is 205.4191l in millilitres? 205419.1 What is 0.2555243ml in litres? 0.0002555243 How many tonnes are there in 0.5663354 kilograms? 0.0005663354 Convert 0.715919 days to minutes. 1030.92336 How many milliseconds are there in 736123.5 weeks? 445207492800000 How many nanometers are there in 38031.8 centimeters? 380318000000 How many litres are there in 660.5677ml? 0.6605677 What is 3/8 of a kilogram in grams? 375 What is 3/5 of a decade in months? 72 What is 996.8105 nanometers in meters? 0.0000009968105 What is three tenths of a microgram in nanograms? 300 What is 0.273274l in millilitres? 273.274 How many seconds are there in sixty-two thirds of a minute? 1240 What is 3/25 of a hour in seconds? 432 What is 77395.37um in centimeters? 7.739537 How many nanograms are there in 29/5 of a microgram? 5800 How many centimeters are there in 80864.79 millimeters? 8086.479 How many minutes are there in nine sixteenths of a day? 810 What is 0.3647013 decades in centuries? 0.03647013 What is 7/8 of a litre in millilitres? 875 How many milliseconds are there in 13.1404 weeks? 7947313920 What is 0.470344ms in seconds? 0.000470344 Convert 13.70079 microseconds to nanoseconds. 13700.79 What is 0.5159618 litres in millilitres? 515.9618 What is eighty-seven fifths of a meter in millimeters? 17400 What is 66.32018 decades in centuries? 6.632018 How many litres are there in 6.207052 millilitres? 0.006207052 How many seconds are there in eight fifteenths of a day? 46080 Convert 7.168453 centimeters to kilometers. 0.00007168453 What is 823.0743 litres in millilitres? 823074.3 How many minutes are there in five quarters of a week? 12600 What is 1/10 of a day in seconds? 8640 What is 8.785204ml in litres? 0.008785204 What is 914.2973 seconds in nanoseconds? 914297300000 Convert 290407.05ms to minutes. 4.8401175 Convert 12.627735 months to centuries. 0.0105231125 Convert 1244.976l to millilitres. 1244976 What is 3/10 of a milligram in micrograms? 300 How many millilitres are there in 1/4 of a litre? 250 How many litres are there in 7.598764ml? 0.007598764 What is 0.3913385l in millilitres? 391.3385 What is 3/28 of a week in minutes? 1080 What is 83902.16 litres in millilitres? 83902160 What is 51/8 of a century in months? 7650 What is 46938.41 kilograms in milligrams? 46938410000 Convert 495633.5 weeks to nanoseconds. 299759140800000000000 What is 37/2 of a centimeter in millimeters? 185 How many nanograms are there in 12/25 of a microgram? 480 Convert 6819.265 weeks to milliseconds. 4124291472000 Convert 16.5595 centuries to months. 19871.4 What is nine sixteenths of a day in minutes? 810 How many centimeters are there in one tenth of a meter? 10 What is eleven halves of a millisecond in microseconds? 5500 Convert 5189.99kg to tonnes. 5.18999 How many millilitres are there in 48/5 of a litre? 9600 What is 3/40 of a decade in months? 9 What is 21/4 of a microgram in nanograms? 5250 What is thirty-three tenths of a second in milliseconds? 3300 What is twenty-one quarters of a decade in months? 630 How many years are there in seventy-one fifths of a decade? 142 Convert 0.3165271l to millilitres. 316.5271 What is 47986.25ml in litres? 47.98625 How many hours are there in one sixth of a day? 4 Convert 0.1353555l to millilitres. 135.3555 How many meters are there in 6.785283 millimeters? 0.006785283 Convert 928397.6 litres to millilitres. 928397600 How many millimeters are there in 921.3917um? 0.9213917 How many hours are there in 17/4 of a day? 102 How many kilograms are there in 12/25 of a tonne? 480 How many microseconds are there in 5/8 of a millisecond? 625 Convert 68.40693 decades to years. 684.0693 How many grams are there in fourty-three halves of a kilogram? 21500 What is 0.7113843 litres in millilitres? 711.3843 How many millilitres are there in 9/10 of a litre? 900 Convert 6012.946l to millilitres. 6012946 How many seconds are there in 7.685005 minutes? 461.1003 How many grams are there in 261058.4 kilograms? 261058400 What is fifteen quarters of a meter in millimeters? 3750 What is three fifths of a second in milliseconds? 600 How many months are there in 3/50 of a millennium? 720 How many decades are there in 11943.171 months? 99.526425 What is six fifths of a millennium in decades? 120 What is 0.8557625 days in milliseconds? 73937880 How many kilograms are there in 3/5 of a tonne? 600 How many years are there in 8941.809 centuries? 894180.9 Convert 559960.6 litres to millilitres. 559960600 What is 55562.7ug in milligrams? 55.5627 What is 2.9245629 months in millennia? 0.000243713575 What is 17/4 of a millimeter in micrometers? 4250 What is 71.35066 kilograms in tonnes? 0.07135066 What is 75/4 of a litre in millilitres? 18750 How many grams are there in six fifths of a kilogram? 1200 What is 1/10 of a litre in millilitres? 100 What is fifty-two fifths of a milligram in micrograms? 10400 Convert 0.6831648 millennia to decades. 68.31648 How many months are there in 0.6326855 millennia? 7592.226 What is 1/6 of a hour in seconds? 600 Convert 43483.65 litres to millilitres. 43483650 How many meters are there in 3/10 of a kilometer? 300 What is fifty-five quarters of a litre in millilitres? 13750 What is 21/5 of a millennium in years? 4200 How many grams are there in 0.4246814ng? 0.0000000004246814 What is 34.33217kg in nanograms? 34332170000000 How many centimeters are there in 0.2918178 millimeters? 0.02918178 How many seconds are there in 1/4 of a minute? 15 What is 7/4 of a decade in months? 210 What is 2.397975l in millilitres? 2397.975 Convert 491.9852 microseconds to nanoseconds. 491985.2 How many micrograms are there in 3/50 of a milligram? 60 How many micrograms are there in seven eighths of a milligram? 875 How many millilitres are there in 482.7734 litres? 482773.4 What is 1/4 of a millennium in years? 250 Convert 62.58428g to milligrams. 62584.28 What is fourty-eight fifths of a week in minutes? 96768 How many years are there in 27/5 of a decade? 54 How many millimeters are there in six fifths of a centimeter? 12 What is six fifths of a kilometer in meters? 1200 What is one sixteenth of a kilometer in millimeters? 62500 What is 59012.35 kilograms in nanograms? 59012350000000000 Convert 0.7818491 milligrams to micrograms. 781.8491 Convert 99.90609 centuries to years. 9990.609 How many millilitres are there in 0.0504045 litres? 50.4045 How many months are there in 7
{ "pile_set_name": "DM Mathematics" }
sqrt(132)/sqrt(3)*-3)))*1)**2*-4. -11280 - 256*sqrt(11) Simplify ((sqrt(228) - -5*sqrt(228)*-2 - sqrt(228))/(((sqrt(12)*1)/sqrt(3) - sqrt(4)) + sqrt(4)))/(6*sqrt(147) - -5*sqrt(147)). -10*sqrt(19)/77 Simplify (5*(sqrt(110)/(sqrt(10) - (sqrt(1000) + sqrt(1000)*-3 + sqrt(1000))) + 4 + (0 + sqrt(176) - sqrt(176)) + -1 + -4 + sqrt(176) + 1))**2. 50625/11 Simplify (sqrt(312)/(-1*sqrt(200)))/((sqrt(81)*3)/sqrt(3)). -sqrt(13)/45 Simplify (6*-5*(4 + sqrt(153) + 6*(sqrt(153) + sqrt(153) + -1 + sqrt(153) - sqrt(153)))**2*5 + -1)*6. -23274906 + 140400*sqrt(17) Simplify (sqrt(51) + (sqrt(1836)*4 - sqrt(1836)) - (3*sqrt(51)*-2 - sqrt(51) - sqrt(51)))/(2*(2*sqrt(33))/sqrt(11)*3). 9*sqrt(17)/4 Simplify ((1 + 4*(sqrt(448) + -5*(sqrt(448) - -2*sqrt(448)))*-1)*-4)**2 + -2. 14336*sqrt(7) + 22478862 Simplify -1*((1*sqrt(1539))**2 + 1 + 0 - (sqrt(1539) + 1 + sqrt(1539) + -3 + sqrt(1539))**2*-6)*6. -508020 + 3888*sqrt(19) Simplify 3 + 0 + sqrt(1584) + sqrt(1584) + (-2*sqrt(1584)*1 - sqrt(1584)) + sqrt(1584) - -2*(-2 + 2*sqrt(1584))**2*5. -960*sqrt(11) + 63403 Simplify (-3 + 5 + sqrt(1300) + 0 + 1 + 4 - (-1*((sqrt(1300) - (sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300)))*-1) + sqrt(1300) - sqrt(1300)) + 5)*1)**2. 40*sqrt(13) + 1304 Simplify ((-4*-4*(sqrt(114) + -4*2*sqrt(114)))/(sqrt(18)/sqrt(3)*6 + sqrt(96)*-3))**2. 59584/9 Simplify (sqrt(96)*-1 - sqrt(6) - 1*1*sqrt(6))/(sqrt(363)*-3*2). sqrt(2)/11 Simplify 4*((-5*(sqrt(216) - (sqrt(216) + 4*sqrt(216) + sqrt(216) - sqrt(216))))/sqrt(9))/((-6*(sqrt(96) + -2*sqrt(96)))/sqrt(12)). 40*sqrt(3)/3 Simplify (sqrt(2)*-2*2 + 1)*2 + sqrt(162) + 3*(sqrt(162) + 2)**2. 109*sqrt(2) + 500 Simplify (-2*-4*(-5 + (1 + 2 + sqrt(1053))*4)*-4)**2. 516096*sqrt(13) + 17302528 Simplify 4 + (-1*6*(sqrt(3) + 2)*-5)**2 + (-5*1*sqrt(21))/sqrt(7) + -4. 3595*sqrt(3) + 6300 Simplify (((2*sqrt(200) + sqrt(200))*-5 + 4 + 5 + 5 + sqrt(200)*2)*-3)**2. -32760*sqrt(2) + 305964 Simplify ((-2*sqrt(588) - sqrt(588))*5)/(sqrt(324) - (sqrt(324) - -2*sqrt(324)*-5 - sqrt(324))). -35*sqrt(3)/33 Simplify (sqrt(5700) + (5*sqrt(5700)*-1 - sqrt(5700)) - (-1*sqrt(5700)*3 + sqrt(5700)))/(6*sqrt(9)/(1*sqrt(3)*2)). -10*sqrt(19) Simplify 6*(1 + ((sqrt(2448) - (1 + sqrt(2448))) + 5 + -4)**2*-1)*4. 24 Simplify (4*(3 + sqrt(17) + (sqrt(17) - sqrt(204)/(sqrt(12)*3)) + sqrt(85)/(sqrt(20)*3))*-1)**2. 176*sqrt(17) + 9524/9 Simplify -1 + sqrt(72)/(sqrt(9)*1) - (sqrt(12) - (sqrt(300) + sqrt(300)*-1 - sqrt(300)))/(-1*2*sqrt(6)). -1 + 5*sqrt(2) Simplify -2 + (6*((sqrt(1620)*-3 - sqrt(1620)) + sqrt(1620)))/((sqrt(243) + 1*sqrt(243))/sqrt(3)). -18*sqrt(5) - 2 Simplify (-5*-2*sqrt(33) - sqrt(132)/sqrt(4)*4)/((6*(sqrt(132) + sqrt(132) + -1*sqrt(132) + sqrt(132) + sqrt(132)))/(1*sqrt(588) + sqrt(12))). 8*sqrt(3)/3 Simplify -2*((sqrt(1152) + sqrt(32))/sqrt(4) + -5*(sqrt(2) + sqrt(2) + 3) + -3) + 0. -8*sqrt(2) + 36 Simplify (5*(((3*(sqrt(2736) + sqrt(2736) + sqrt(2736) + 0))**2 + sqrt(2736) - sqrt(2736)) + sqrt(2736) - (sqrt(2736) + -1)*-4)*4 + 2 + -2)*-3. -13296720 - 3600*sqrt(19) Simplify (-5 + 3 + 0 + 3 + sqrt(176) + sqrt(176) + -2*sqrt(176)*6 + 1)**2. -160*sqrt(11) + 17604 Simplify -5 + (sqrt(272) + 1 - sqrt(34)/(sqrt(2) - sqrt(72)))**2 + -5 + (-1 + sqrt(17))*-1 + (sqrt(833) - (sqrt(833) + sqrt(833) + -1)). 2*sqrt(17)/5 + 7322/25 Simplify (1 + ((-2*sqrt(126)*-1 + sqrt(126))/(-4*(sqrt(6) + sqrt(96) - sqrt(6) - sqrt(6))))/(((sqrt(672) - sqrt(42))*-6)/(-4*sqrt(54))))**2. -sqrt(3)/3 + 13/12 Simplify (sqrt(125) + -2)**2*-1*-5 - (-5*(sqrt(35)*1 - sqrt(35)))/(sqrt(84)/sqrt(300)). -100*sqrt(5) + 645 Simplify (1*-2*(sqrt(3078)*1 - sqrt(3078)))/(sqrt(20)/sqrt(250) + sqrt(288)). 0 Simplify (-4*sqrt(85)*2 + sqrt(85) + (-3*(sqrt(85) + 2*sqrt(85)) - sqrt(85)))/(sqrt(20)/(sqrt(16)*-2 + sqrt(16)))*-2. -68*sqrt(17) Simplify 2*sqrt(7) + -5 + 1 + (-1 + sqrt(7))**2 + (sqrt(196)*2)/sqrt(7) - ((sqrt(175)*-1*-5 - sqrt(175) - -3*(0 + sqrt(175)))**2 + 5). -8576 + 4*sqrt(7) Simplify ((6*(sqrt(121) - (-5*(-4*sqrt(121) + sqrt(121)) + sqrt(121)) - sqrt(121)))/((1*sqrt(55))/sqrt(5) + (3*sqrt(33))/sqrt(3)))**2. 6336 Simplify 2*(5 + sqrt(2) + sqrt(2) + -1 + -5 + -3 - (0 + (5*(sqrt(200) + -2))**2)). -10208 + 2004*sqrt(2) Simplify (((sqrt(171) - sqrt(171)*2)*-2 + 1*sqrt(171)*3)/((-1*sqrt(81)*5)/(sqrt(144) + sqrt(144)*1)))**2. 1216 Simplify (sqrt(68) + (2 + sqrt(68))*-6 + 5 + 0 + sqrt(68) + 2 - -1*((sqrt(68) + 1 - sqrt(68)) + sqrt(68) + -4 + sqrt(68) - -1*sqrt(68)*6))**2. -128*sqrt(17) + 1152 Simplify (-4*sqrt(240)/((sqrt(176)/sqrt(4))/sqrt(11)))/(sqrt(300) + (sqrt(300) - sqrt(300)*-2 - sqrt(300)) - sqrt(300) - (sqrt(12) - sqrt(1452)*-1)). 2*sqrt(5) Simplify (-2 + (sqrt(270)/(-1*sqrt(18)/sqrt(2)))/(1*(sqrt(6) - (6*sqrt(6)*1 - sqrt(6))))*2*3)**2. -6*sqrt(5) + 61/4 Simplify (4 + 4 + (4 + 1*sqrt(1900) + sqrt(1900) - sqrt(1900)) + (sqrt(608)/sqrt(2) - (sqrt(76)*-1)/sqrt(4)) + -4)**2. 240*sqrt(19) + 4339 Simplify (-5 + (1*-2*sqrt(102) + sqrt(102) + (2*sqrt(102)*6 - sqrt(102)) + sqrt(102))/(sqrt(294) + sqrt(294)*-1*4 + sqrt(294)))**2. 55*sqrt(17)/7 + 6957/196 Simplify -5 + (sqrt(5103)*-1 + sqrt(5103))**2 + 5 + (3 + sqrt(5103) + -1)**2 + -3 + 2. 108*sqrt(7) + 5106 Simplify ((3*sqrt(88)*4 + sqrt(88))*-2*4)/((sqrt(288) - (sqrt(288) + sqrt(288)*-1)) + -3*(sqrt(8) - sqrt(16)/sqrt(2))). -52*sqrt(11)/3 Simplify (sqrt(133)*-4*2 + sqrt(133) + (2*sqrt(133) - sqrt(133))*-6)/((((sqrt(1008) - 2*sqrt(1008)) + sqrt(1008))*-4 - sqrt(1008))*-3). -13*sqrt(19)/36 Simplify ((-1*(sqrt(90) - sqrt(90)*1))/((sqrt(3) + sqrt(3)*1)*6))/((-6*-5*sqrt(160) - sqrt(160))*-2). 0 Simplify -2 + sqrt(2)*5 + (sqrt(20)/sqrt(250) + sqrt(2))**2 + 5 + sqrt(4)/sqrt(2) + -2 + (sqrt(72) + 2*sqrt(72))**2. 6*sqrt(2) + 16297/25 Simplify ((sqrt(210)*-3)/sqrt(10))/(sqrt(3) + sqrt(144)/sqrt(3)) + (sqrt(63) + 2 + (-5*(0 + sqrt(7)))**2 - (sqrt(1400)*2 - sqrt(1400))/sqrt(2)). -38*sqrt(7)/5 + 177 Simplify (((sqrt(5200)*1)**2 - 6*sqrt(208)/sqrt(4))*-2 + 4)*3 + 1. -31187 + 72*sqrt(13) Simplify 6*3*(-1 + sqrt(700) + -1)**2 + (sqrt(42) + (sqrt(126) - 2*sqrt(126))/sqrt(3))/(2*sqrt(36)/sqrt(6)). -720*sqrt(7) + 12672 Simplify (2*(-1*(sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + -2*sqrt(1100) + sqrt(1100))) - (-1 + sqrt(1100))*5) + 1*(3 + 0 + sqrt(1100)*1))**2. -1820*sqrt(11) + 54069 Simplify (sqrt(68) + (-4*(sqrt(68) - 2*sqrt(68)) - sqrt(68)) - (-2*sqrt(68)*1 - sqrt(68)))/((sqrt(320)/sqrt(5) - sqrt(4))*-2)*2. -7*sqrt(17)/3 Simplify ((4*(sqrt(120) - -2*sqrt(120)))/((sqrt(25) + (sqrt(25)*-2 - sqrt(25)))/sqrt(5)))/(5*sqrt(1728)*1 + sqrt(768)*2*4). -3*sqrt(2)/62 Simplify (0 + 2*(3 + (4 + sqrt(275)*-2*5 + sqrt(275))*2 + 0))**2. -7920*sqrt(11) + 356884 Simplify -4 + 4*(2*(-3*sqrt(1573)*1 + sqrt(1573)) + (2 + (sqrt(1573) - (-2*sqrt(1573) + -1)))**2). 616*sqrt(13) + 56660 Simplify 5*(4 + (sqrt(121)*-2)/sqrt(11)) + (3*2*sqrt(1584) + (-5*-2*sqrt(1584) - sqrt(1584)))**2. -10*sqrt(11) + 356420 Simplify 3 + (1 + (3*sqrt(72)*-3)**2 - -4*((sqrt(72) - (2 + sqrt(72)))*6)**2) + 0. 6412 Simplify (-3*(2 + ((sqrt(1008) + -1)*-4 - (((2*sqrt(1008))**2*-2 - sqrt(1008)) + sqrt(1008)))) + -5)*-2. -288*sqrt(7) + 48430 Simplify ((sqrt(78)*-2*4 - 5*(sqrt(78) + (sqrt(78) - sqrt(78)*-1)))*4)/(5*sqrt(294)*-2 - sqrt(294)*-1*-3). 92*sqrt(13)/91 Simplify (sqrt(17) + (3*sqrt(153))/sqrt(9) - (sqrt(17) - (sqrt(85) - -3*sqrt(85))/sqrt(5)))*-6 - (((sqrt(17)*1 + 1)**2 + sqrt(17) + (2*sqrt(153))**2)*-2 + -2). -36*sqrt(17) + 1262 Simplify (-5*((sqrt(150)*-1)/sqrt(10) + sqrt(75)/(sqrt(5)*-1))/((sqrt(12) + 4*sqrt(108))/sqrt(4))*-5)**2. 12500/169 Simplify ((sqrt(70) + sqrt(70) + sqrt(70)*-4*4 - sqrt(70) - (sqrt(70) + -6*sqrt(70)*-1 - sqrt(70)))/((-6*sqrt(360)*-3)/sqrt(9)))**2. 343/144 Simplify (-5 + sqrt(832) + 0 + sqrt(832) + -2 + -2*sqrt(832) + 2)**2 - -2*1*((sqrt(832) + -1)*3)**2. -288*sqrt(13) + 15019 Simplify (-2*(sqrt(99) - -4*sqrt(99)*2 - sqrt(99)*-1*5))/((sqrt(90) - (-2*sqrt(90)*-2 + sqrt(90)))/(((sqrt(100)*1 - sqrt(100)) + sqrt(100))/sqrt(10))). 7*sqrt(11) Simplify ((sqrt(7) - (sqrt(7) + 2)) + -3 + 4*(sqrt(28)/sqrt(4) - sqrt(7)) + (-1 + -2 + sqrt(252) - (-5 + sqrt(252) + 0 + sqrt(252))))**2. 36*sqrt(7) + 261 Simplify (1*(((-2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152))*3 - sqrt(152) - sqrt(152))*5)/(-1*sqrt(8)*-1 - -2*sqrt(128)). -55*sqrt(19)/9 Simplify (-5 + sqrt(147)*5*6 - ((sqrt(147) + 5)*4 + sqrt(147))
{ "pile_set_name": "DM Mathematics" }
03 = -3*x. Suppose -13769 = 21*o - a*o. Is o prime? False Suppose -93*z - 997759 = -100*z. Is z composite? False Let t(m) = -15*m**2 + 3*m - 38. Let k(s) = 8*s**2 - 2*s + 19. Let j(i) = 7*k(i) + 3*t(i). Is j(-6) prime? False Let k(h) = -h. Let o(l) be the first derivative of 27*l**4/4 + 2*l**3/3 - 2*l + 3. Let c(d) = -2*k(d) - o(d). Is c(-2) composite? True Let d = 19257 - 9531. Let c = d + -5195. Is c a prime number? False Let a(u) = 37*u**3 + 7*u**2 - 20*u + 69. Is a(8) prime? True Let q be (-2)/((-2)/1)*178. Let o be 1147/3 - 4/(-12)*2. Let y = o - q. Is y prime? False Let m be (1 - 4)*(-740)/111. Suppose 5*l - m = 0, 5*c - 23621 = l - 5*l. Is c a prime number? True Suppose 256874 = 4*x - 3*b, 5*b + 210060 - 81616 = 2*x. Is x composite? False Let j = -12 - -12. Let y(o) = o**2 - 16*o + 62. Let i be y(6). Suppose -2*h = 8, j = -i*a - 2*h + 5*h + 370. Is a composite? False Suppose 31*x - 16*x + 2810404 = 19*x. Is x a composite number? True Suppose 937400 = -81*v + 6846755. Is v a prime number? False Let s(h) = -16*h + 1987. Let v(o) = -o + 1. Let x(j) = s(j) - 2*v(j). Is x(0) composite? True Let q = 199 - 202. Is ((-79046)/(-66))/(2/q - -1) composite? False Let d be (-2)/(-3) - (-80)/(-12). Is 3*(d - 3423/(-9)) composite? False Suppose -37*s - 89222 = -44*s. Is s a composite number? True Is ((-826)/(-35) - 24)*(-131390)/4 a prime number? False Suppose 0 = -4*q - 2*h + 54068, -4*q + 12155 = 5*h - 41901. Is q composite? True Let h(u) = -u**2 + 10*u + 28. Let i be h(12). Let g be -3 - 0 - (-326 + i). Let r = 304 + g. Is r composite? True Suppose -23107 = -5*n + 4*u, -4*u - 13 + 1 = 0. Let x = 8946 - n. Is x a prime number? True Let c = 21108 - -54161. Is c a prime number? True Suppose -105553 = -9*n - 464716. Let d = 60678 + n. Is d a prime number? True Suppose 13*u + 91035 - 281641 = 0. Is u a composite number? True Let b = 5 - 7. Let k(r) = 5*r - 4. Let t(f) = -198*f + 11. Let h(d) = 5*k(d) + t(d). Is h(b) a prime number? True Let c be (3255/(-42))/((-2)/148) + -1. Suppose c + 1172 = 2*r. Is r composite? True Let t be 2/(-19) + 18135/(-95). Let c = t - -7908. Is c a composite number? False Let i(h) = -65*h + 0 + 1 + 233*h. Let x = 113 + -107. Is i(x) composite? False Suppose 5*t = 4*p - 143, 0 = -4*t + 2 + 18. Is (-45)/(-12)*22904/p a composite number? True Suppose 6*p - 16*p + 150 = 0. Suppose p*h + 10049 = 133184. Is h composite? False Let a = -8514 - -8505. Let o(x) = 4*x**3 - 3*x**2 + 18*x + 23. Let h(i) = 11*i**3 - 9*i**2 + 53*i + 68. Let f(m) = -3*h(m) + 8*o(m). Is f(a) a prime number? True Suppose -2*s + 300 = 4*s. Suppose 18066 = -s*i + 56*i. Is i prime? True Let f(k) = -k**3 + 6*k**2 + 28*k - 149. Let m be f(7). Suppose -5*r - 12 = -r - n, -4*r - 4*n = 32. Is 1 + m - (r - 550) composite? True Suppose 25 = -9*o + 14*o. Suppose 3*t - 5*a = 4219, 2*t = o*a - 294 + 3110. Is t a composite number? True Suppose 2*t - 5*o = 10745, -26834 = -3*t - 2*t + 3*o. Suppose 1554 - 611 + 689 = 68*i. Suppose -i*h + t = -19*h. Is h prime? False Suppose 361*b - 65159 = 360*b. Is b a prime number? False Suppose 2*h = 5*u + 460591, 157876 = -4*h - 2*u + 1079094. Is h prime? True Suppose -10*t + 4*k - 20 = -15*t, 5 = -5*t + k. Suppose t = -2*w - 5*x + 1188 + 2492, -4*w + 7332 = -4*x. Is w a prime number? False Let x = 380179 - 167352. Is x a prime number? True Suppose -p - 2*p = -2*b - 5467, p + 3*b = 1804. Suppose 3517 = 2*h + 3*c, 2*h - 2*c - p - 1693 = 0. Is h a prime number? False Let n(u) = u**3 + 15*u**2 - 17*u - 23 + u**2 + 18*u. Is n(-12) composite? False Let i(j) = 9 - 181*j + 339*j - 178*j. Let k be i(-6). Let b = 260 - k. Is b prime? True Suppose 4*z - 468934 = -2*d, -3*z = -140*d + 137*d + 703356. Is d composite? False Let r be 8/(-4) + 3081 - (-2 - 0). Let a = -898 + r. Is a composite? True Let z(a) = 309*a**2 - 186*a - 2243. Is z(-16) a prime number? False Suppose 34 = -10*y + 184. Is (-5)/y - (45472/(-12) + 2) a composite number? True Let v(t) be the first derivative of -t**3/3 - 11*t**2/2 - 6*t + 7. Is v(-7) a composite number? True Suppose 10*c = 4*c + 108. Let n be 2/(-3)*(-300)/8. Let s = n - c. Is s prime? True Suppose -19*u + 5*a = -21*u + 69698, 104547 = 3*u + 4*a. Is u prime? True Let x = -368010 - -2555645. Is x composite? True Let n be (11 - 1) + (-151 - -141). Suppose 0 = v - 6 + 2. Suppose -t + 2*b + 743 + 502 = n, v = b. Is t prime? False Suppose 452*b = -118786089 + 754482053. Is b a composite number? True Let a be 2 + 225224/72 - (-2)/(-18). Let s = 3329 + a. Is s composite? True Let h(l) = 6*l**2 - 7*l + 13. Let z be ((-2)/(-5))/(-1 - (-242)/240). Let m = -56 + z. Is h(m) composite? True Let m be 1356/28 + 66/(-154). Suppose -m*r = -31*r - 64209. Is r prime? False Let x be 6*(-5)/(-6)*289/(-5). Suppose -4*g - 4*o + 2328 = 0, g = o + 4*o + 570. Let k = g + x. Is k a composite number? True Let m be (3/(-6)*1)/((-1)/2). Let g be (6/((-96)/2036))/(m/(-12)). Let t = g - 658. Is t composite? True Suppose 2*q - 288811 = -z, -12*z + 7*z + 1443999 = -4*q. Is z prime? True Let z(h) = h**2 + 14*h - 13. Let f be z(-15). Suppose 0 = f*r - 5*l - 32, -3*r + 57 = -4*l + 16. Suppose 0 = -14*t + r*t + 6999. Is t prime? True Suppose w - 232 = -235. Let i(j) = -109*j**3 + 6*j**2 + 3*j - 1. Is i(w) a prime number? False Suppose -22*f + 18*f + 4*v + 2710164 = 0, 5*f + 4*v = 3387777. Is f a prime number? False Suppose j - 77883 = -2*x, 296237 = 5*j - 4*x - 93248. Is j a composite number? False Suppose 6*o = 4*z + 4*o - 713432, 3*z - 5*o - 535053 = 0. Is z composite? False Let z(u) = 114*u**2 + 24*u - 37. Is z(-14) a composite number? True Suppose -22*x + 632048 + 3557646 = 4*t, -761754 = -4*x - 5*t. Is x prime? False Let g(p) = 3*p - 76. Let v be g(26). Suppose -9*r + 17213 = -v*r. Is r prime? True Suppose -987*s + 994*s = 528521. Is s prime? True Suppose 0 = 15*z - 19*z - 2*h + 556072, -5*z - h = -695099. Is z a composite number? False Suppose 140*i - 270*i = -163*i + 13054173. Is i prime? True Let b be (1 - 11/(-3)) + 2/(-3). Suppose m + b*y = -2075, 3*m - 4*y + 59 = -6230. Let u = -124 - m. Is u a prime number? False Let y = -66 + 181. Suppose y = -4*x + 783. Let a = x + 56. Is a composite? False Suppose -10*x + 5*x = -h - 1501, h = 2*x - 598. Suppose -x = -3*y + 740. Is y a composite number? False Suppose 0 = -655*v + 700*v - 5327415. Is v prime? True Let s(w) = 41425*w + 6734. Is s(5) a prime number? True Suppose 26 = 9*p + 17. Is 25 + 11820 + p*-6 prime? True Suppose -120*z = 21*z - 2772201. Is z composite? False Suppose -12*k + 29*k + 1904 = 0. Is 403504/k*(-5 + -2) a prime number? True Suppose 0 = -4*a - k + 16247332, 4061833 = 27*a - 26*a + 3*k. Is a a composite number? False Let v be (-20)/(-6)*12/10. Let f(l) = l**2 + 93*l - 2394. Let q be f(21). Suppose 5*c = v*p - 1563, q = 2*p - c - 376 - 413. Is p prime? True Suppose 0*w = 2*a + w - 13, -2*a - 2*w = -14. Let y be 105/a*(-3 + (-1425)/(-7)). Let g = -2119 + y. Is g composite? True Suppose -96*q = 78*q - 15797982. Is q a prime number? True Suppose -16*o + 145928 = 13*o. Suppose -20*i + o = -19948. Is i prime? True Let m(i) = -i**2 - 2*i + 25. Let r(c) = -c**2 - c + 25. Let o(p) = 7*m(p) - 6*r(p). Let w be o(-11). Let k(h) = -149*h - 41. Is k(w) a prime number? True Suppose -18*j + 1932900 = 176*j + 106*j. Is j prime? False Let r(a) = -670*a**3 - 3*a**2 + 6*a. Let n be r(-4). Suppose v = -7*v + n. Is v a prime number? True Suppose 215*x - 19319397 = 5386898. Is x a prime number? True Suppose 0 = -3*j + 3*t + 6, 3*j = 6*j - 5*t - 4. Suppose -566 = -j*d - 5216. Is (5 + d/15)*-3 prime? False Suppose -8247 = -2*z - 5*c, c = 3*z - c - 12323. Is z a prime number? True Is (-100)/44 + (-27)/(-99) - -7771 a prime number? False Let u be (2 - 123)/(3 + (-111)/36). Let x = u - 2291. Let p = 128 - x. Is p prime? True Suppose -5*a = 3*k - 102803, 26*a = 30*a + 4*k - 82244. Suppose 4*m = x - 3755 - a, 5*m = 20. Is x composite? True Suppose -z - m - 4*m + 4 = 0, -3*m = -4*z + 16. Let t(d) = -1 - z - 527*d + 367*d. Is t(-6) a prime number? False Let k be (4 - 9)*((-259)/35 - -7). Let z(d) = 3*d - 4. Let x be z(3). Suppose 0 = -3*v - k*j + 1893, 3*j = -x*v - 156 + 3311. Is v a composite number? False Let r(k) be the first derivative of k**6/40 - 11*k**5/60 - 5*k**4/12 - 13*k**3/3 + 31. Let x(q) be the
{ "pile_set_name": "DM Mathematics" }
rt i, b, g. g, i, b Let a = -2 + 5. Put a, -2, -0.06 in decreasing order. a, -0.06, -2 Suppose -d - 4*d + 5*a = -5, -2*d + 4 = -4*a. Put -2, d, 5, -5 in decreasing order. 5, d, -2, -5 Let s = 0.14 - 0.08. Let c = s - -0.14. Sort 0.4, 1/3, c. c, 1/3, 0.4 Let c = -4193/20 - -813/4. Suppose -3*r = 2*r - 5*h - 55, 3*h = -15. Let l = r + c. Put l, 4, -0.2 in decreasing order. 4, -0.2, l Suppose 5*z = b - 8 + 2, 5*z = 2*b - 7. Sort z, -2/9, -2/3 in ascending order. z, -2/3, -2/9 Let c be 34/(-8) - 4/(-16). Sort c, 4, 6, -1 in decreasing order. 6, 4, -1, c Suppose y + 4 = -0*y. Let v = -0.92 - 0.18. Let h = -0.9 - v. Sort -0.3, h, y. y, -0.3, h Let p = 0 + -0.2. Let u = 148 + -143. Let k be 2/8 + 1 + -1. Put p, k, u in increasing order. p, k, u Let n = -7 - -9. Let c = -2 - -1.7. Let k = 0.5 + -0.1. Sort c, n, k. c, k, n Let j be ((1*-1)/1)/1. Let g(w) = w**2 + 4*w - 7. Let r be g(-6). Let q be 3/r - 14/(-35). Put q, j, 4 in decreasing order. 4, q, j Let c = -0.2 - -0.22. Let o = c - -0.38. Let g = -0.07 - 4.93. Sort g, o, 1. g, o, 1 Suppose -25 - 7 = -2*i. Suppose 5*t - i = t. Sort -3, t, 5 in ascending order. -3, t, 5 Let a = -0.167 + 6.227. Let c = -0.06 + a. Let p = c + -6.1. Put p, 0, 5 in descending order. 5, 0, p Let g be 3/9 - 8/6. Suppose -l = 2*l + 15. Sort g, -4, l in descending order. g, -4, l Let o = 30 - 27. Put o, 5, -1 in decreasing order. 5, o, -1 Suppose -6*g + 35 = 5. Sort -11, 2, g in increasing order. -11, 2, g Let a(y) = -4*y - 3. Let x be a(-2). Suppose 0*h - 27 = -2*h - 3*l, -5*h - 5*l = -70. Suppose -x*v - h = -2*v. Sort v, -4, -3 in decreasing order. -3, -4, v Suppose 6*h = 11*h - 5. Suppose 0 = -n - p + h, p = -3*n - n + 7. Suppose 2*s - 2*a = -7*a - 29, 2 = 4*s - n*a. Sort 2, 4, s in decreasing order. 4, 2, s Let x be (-7 - -3) + (3 - 4). Let v be (2/6 - 0)*3. Sort v, x, -1 in decreasing order. v, -1, x Let d be 6/(-24) + (-50)/(-8). Let l be 24/d - (-2)/2. Let i = l + -6. Sort 4, -4, i. -4, i, 4 Let a(t) = -t**2 + 6*t. Let i be a(3). Let n = i + -5. Suppose m - 10 = -n*m. Sort -5, -4, m. -5, -4, m Let f = 3 - -2. Let h(k) = k**3 - k**2 + k - 1. Suppose -2*g - 4 = -3*a, 5*g + 5*a - 13 = a. Let r be h(g). Put r, f, -5 in decreasing order. f, r, -5 Suppose 4*f + 6 = -2*m, 2*f + 2*f = -4*m - 12. Suppose 1 = 4*u + 5. Suppose -2*x = 5*c - 16, 2*x + 2*x = -3*c + 18. Sort m, x, u in descending order. x, u, m Let r = -57 + 61. Suppose 4*c - 6*t + 20 = -2*t, c = 3*t - 7. Put r, -5, c in descending order. r, c, -5 Let x(s) = s**2 - 3*s + 5. Let p be x(0). Put p, -5, 2 in descending order. p, 2, -5 Suppose 2*c = 8 - 0. Put -2, c, 1 in descending order. c, 1, -2 Let c = 1 - -2. Let z(j) = -2*j + 3. Let n be z(1). Put c, n, -5 in increasing order. -5, n, c Let d be 3*(-8)/(-6) - 0. Suppose d*b - 7*b = -3*n - 18, 2*b + 23 = -5*n. Suppose -c - 2 = 1. Sort -5, c, b in descending order. b, c, -5 Let p be (-4)/(-2) + 14/(-2). Put -2, -0.4, p in ascending order. p, -2, -0.4 Let g = -51 - -203/4. Let n = 3 - 0. Sort n, 0.1, g. g, 0.1, n Let q(y) = -y**3 + 5*y**2 - 4*y - 5. Let z be q(4). Let b(f) = f**2 + 25*f + 41. Let m be b(-24). Sort m, 1, z in ascending order. z, 1, m Let h = 12 - 7. Sort h, -21, 2 in increasing order. -21, 2, h Let y = -1.09 - -1.2. Sort y, 0.3, -2/9 in increasing order. -2/9, y, 0.3 Let z = 0.8 - 0.3. Let x = -35 - -16. Let n = 22 + x. Put -0.2, z, n in ascending order. -0.2, z, n Suppose -2*v - 6 = -v. Let o be (-32)/v - 2/6. Sort 3, o, -2 in increasing order. -2, 3, o Let h(p) = p**3 + 3*p**2 + 1. Let m be (-5 + 8)*(-1)/1. Let i be h(m). Sort -4, i, -3 in descending order. i, -3, -4 Let f be 114/24*(3 + 1). Let y be f/15 + (-18)/30. Let m = 0.08 - 4.08. Put y, m, 4 in descending order. 4, y, m Let w(i) = -i**3 + 6*i**2 + 3*i + 7. Let r be w(6). Let m be r/60*(-4)/(-10). Let b = 0.01 + -3.01. Sort b, -4, m in descending order. m, b, -4 Suppose 0 = 5*g + a - 2*a - 13, 1 = 2*g + a. Suppose -o = 2*o. Suppose -3*b - 4 = -5*s, o*b + g*b + 6 = 0. Sort 0.2, 2/3, s in decreasing order. 2/3, 0.2, s Let n = 0.7 - 1. Put 3, 0.3, n in decreasing order. 3, 0.3, n Let r = 0.97 + 4.13. Let o = r - 5. Let f = -2.05 + 0.05. Put f, -1, o in increasing order. f, -1, o Suppose 15*z = 24*z. Let j = 6 + -4. Sort 3, j, z in descending order. 3, j, z Let j be ((-672)/(-10))/(-12) - (-4)/(-10). Sort j, -2, 2/13. j, -2, 2/13 Let q = -25/6 + 17/3. Let m = 42 + -800/19. Put q, m, -2 in descending order. q, m, -2 Suppose 0 = -3*r - 0*r. Suppose r = 3*j + 5*m, j = -0*j + 2*m + 11. Put 0, j, -9 in decreasing order. j, 0, -9 Let x(u) = u**3 + 5*u**2 - 4*u + 8. Let r be x(-6). Let b(a) = 3*a - 18. Let h be b(5). Sort 1, h, r in descending order. 1, h, r Let l = -152/7 - -22. Put 0.2, l, -4 in descending order. l, 0.2, -4 Let k = 0 + -3. Let y be 2/(-8) - 2/(-8). Let w = -1 + y. Put k, w, 5 in decreasing order. 5, w, k Let b = 4412 + -66076/15. Let j = b + -33/5. Let o = 8 - 2. Put o, j, -1/2 in ascending order. -1/2, j, o Let s be 14/63 + 24/(-27). Sort -5, -2, s, 0.1 in descending order. 0.1, s, -2, -5 Suppose 0 = -2*g - 4*o + 4, g + o - 1 = -0. Put 3, g, 5 in decreasing order. 5, 3, g Let j = 1.85 - -0.15. Sort -0.03, 2/3, j in descending order. j, 2/3, -0.03 Let q(m) = m**2 - 13*m + 3. Let g be q(13). Let d(v) = 3*v + 4. Let k be d(-3). Sort g, 0, k in ascending order. k, 0, g Suppose 32*g = 33*g + 4. Suppose -4*z = -2*z + 2. Put g, 4, z in increasing order. g, z, 4 Let y be (51/3 + 1)*-18. Let t be ((-5)/y)/((-6)/(-149)). Let v = t - 2/243. Sort -1, v, 3/5. -1, v, 3/5 Let t = 10 - 7. Let k be 1*-2 - (-3 + 46). Let f be 25/(-10)*4/k. Put -3, t, f in decreasing order. t, f, -3 Let p = 1.7 - 1.8. Sort 1/4, p, -2 in increasing order. -2, p, 1/4 Let h = 5.7 + -5.2. Put 19, 4/9, h, 0.1 in decreasing order. 19, h, 4/9, 0.1 Let n = 1.71 - -0.39. Let j = -2.9 - n. Put -0.5, -2/7, j in descending order. -2/7, -0.5, j Let s = -266 + 261.11. Let l = -0.11 + s. Let r be (8/(-6))/(5/(-15)). Put 3/2, r, l in decreasing order. r, 3/2, l Let u be (-1)/2 - 38/4. Let r(x) = x + 14. Let a be r(u). Suppose 0 = -4*b - 2*s + 3 + 17, 0 = -b + 4*s - a. Put 5, 3, b in descending order. 5, b, 3 Let x = -26/15 + 14/15. Let r = 193 + -192. Put r, x, -2/9 in ascending order. x, -2/9, r Let r = -5.6 - -6. Let y = -369.07 + 369. Sort y, 2/7, r in descending order. r, 2/7, y Suppose 6*c + 4 = -8. Sort -4, c, -5. -5, -4, c Let y = 20 - 19.9. Let q be (-1)/(4/(-3)) + 0. Put y, 2/7, q in descending order. q, 2/7, y Suppose -62*f + 63*f = -2. Sort f, -4, -10 in increasing order. -10, -4, f Let b be (7*-1)/(-2 - -1). Let r = -8 + b. Put 2, r, -3 in ascending order. -3, r, 2 Let s be (-1)/4*40/(-65). Let z = -3.3 + 3. Put z, s, 2 in decreasing order. 2, s, z Suppose 0 = 2*k - k - 3. Let n be (-4)/(0 + 2)*k. Sort n, 0, -2 in descending order. 0, -2, n Suppose 0 = 9*q - 16 - 20. Put 46, -4, q in increasing order. -4, q, 46 Let n = -0.024 - 2.976. Put -4/3, n, -7/2 in descending order. -4/3, n, -7/2 Suppose y + 2 = 3*y. Suppose -u + 3*o = -13, 3*o + 4 = 4*u - 3. Let g = u - -4. Sort g, y, 0 in ascending order. 0, y, g Let c = -23 + 39. Let a = c - 17. Sort a, 0, 3. a, 0, 3 Let z = 69 - 66. Put 1, -1, z, 0 in decreasing order. z, 1, 0, -1 Let r = 21 - 3. Sort r, 2, 5 in increasing order. 2, 5, r Suppose r = 3*w + 3*r, 0 = 3*w - r. Let c(u) = u**3 - 6*u**2 + 3*u + 5. Let i be c(5). Let b = 7 + -3. Sort w, i, b in ascending order. i, w, b Let o(j) = -j + 5. Let m = 4 - 0. Suppose m*w + w = 0. Let r be o(w). Sort -4, r, 1. -4, 1, r Let j = 3.6 + 0.4. Let b = -32/63 - -2/9. Sort -2, b, j. -2, b, j Let q be 1 + 5/2*-2. Let f(c) = c**2 + 4*c + 1. Let p be f(q). Sort p, -5, -3 in ascending order. -5, -3, p Suppose -34 = -5*u - 3*j, -5*j - 7 = 3. Suppose -5*g + 3*g = -u. Suppose -5*r = 5*l + 10, -l + r = -0 + 4. Put -4, l, g in descending order. g, l, -4 Let t = 176/5 - 35. Let l(h) = 5*h + 1. Let p be l(-1). Put t, p, 3/5 in decreasing order. 3/5, t, p Let c = -0.33 - -2.33. Put c, 3, -12 in ascending order. -12, c, 3 Let d = 5.02 - 0.02. Let n = 0.06 - 10.06. Let o = n + d. Sort -4, o, 5. o, -4, 5 Let h be (-4)/((7/(-2))/7). Put h, 2, -4 in descending order. h, 2, -4 Suppose -4*t - 14 = 5*w + 13, 2*t + 51 = 5*w. Let u = t - -10. Put 5, -4, u in ascending order. -4, u, 5 Let p be -3 + (1 -
{ "pile_set_name": "DM Mathematics" }
lse Is 80767 a composite number? True Is 33249 composite? True Is 109159 a prime number? True Is 21701 prime? True Is 176173 a composite number? True Is 13649 composite? False Is 2071 prime? False Is 144023 composite? True Is 170743 a prime number? False Is 45457 composite? True Is 1691897 composite? False Is 16477 composite? False Is 4969 a composite number? False Is 527 composite? True Is 25013 a prime number? True Is 1169131 a composite number? False Is 437561 a prime number? False Is 7363 composite? True Is 3203 a composite number? False Is 55723 composite? True Is 34457 composite? False Is 2624509 composite? True Is 43201 composite? False Is 168101 a prime number? False Is 13501 prime? False Is 8457 a prime number? False Is 270563 prime? True Is 63029 a prime number? True Is 233021 a prime number? True Is 3169007 prime? True Is 3203 a prime number? True Is 6803 prime? True Is 7304173 a composite number? False Is 524497 a composite number? False Is 96839 a prime number? 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True Is 10973 composite? False Is 102587 a prime number? True Is 89477 a prime number? True Is 7903 a composite number? True Is 51089 a composite number? True Is 13751 a prime number? True Is 98317 composite? False Is 4853 a prime number? False Is 23417 composite? False Is 684485 a prime number? False Is 839 a composite number? False Is 560153 a composite number? True Is 26833 a prime number? True Is 745517 prime? True Is 517 prime? False Is 307009 a composite number? False Is 111583 composite? True Is 355753 prime? True Is 14687 a prime number? False Is 3977 prime? False Is 15607 a composite number? False Is 127 a prime number? True Is 21145 a composite number? True Is 9767 a prime number? True Is 18743 composite? False Is 29717 composite? False Is 275573 a prime number? True Is 134327 a prime number? True Is 18199 a prime number? True Is 23957 composite? False Is 90781 prime? False Is 248291 a composite number? False Is 8329 composite? False Is 39703 a prime number? 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False Is 13997 a prime number? True Is 32821 a composite number? True Is 32267 composite? True Is 35311 a composite number? False Is 266153 a prime number? True Is 150287 prime? True Is 1511 composite? False Is 303061 prime? False Is 1954 composite? True Is 2143313 composite? False Is 2749 a prime number? True Is 122345 prime? False Is 35299 a prime number? False Is 962233 a composite number? False Is 9197 a prime number? False Is 7201 composite? True Is 8641 composite? False Is 50213 a prime number? False Is 47413 a composite number? True Is 409007 a prime number? True Is 76451 composite? True Is 79579 a prime number? True Is 1707707 composite? False Is 135131 a composite number? False Is 99967 a composite number? True Is 33081 a prime number? False Is 378899 prime? False Is 84913 a prime number? True Is 28981 a composite number? True Is 125453 prime? True Is 268969 composite? False Is 2018 composite? True Is 7978 a composite number? True Is 628093 a prime number? True Is 3641 composite? True Is 9587 a composite number? False Is 245357 a composite number? True Is 73133 composite? False Is 13781 composite? False Is 15187 a composite number? False Is 9391 composite? False Is 12723 composite? True Is 2390411 a prime number? True Is 315653 a prime number? False Is 115487 a prime number? False Is 24233 composite? True Is 299357 composite? False Is 16707 prime? False Is 1999619 prime? True Is 2335 composite? True Is 509063 prime? True Is 245638 a prime number? False Is 568243 a composite number? True Is 233 a composite number? False Is 47417 composite? False Is 94019 a composite number? True Is 38659 prime? False Is 21967 a composite number? True Is 65165 prime? False Is 1418 a composite number? True Is 234833 a prime number? True Is 65497 a prime number? True Is 6119 a composite number? True Is 85067 a prime number? False Is 30539 a composite number? False Is 1181 composite? False Is 40839 a prime number? False Is 67009 a composite number? True Is 51533 a prime number? False Is 4861 prime? True Is 568199 prime? False Is 1361 composite? False Is 122557 a composite number? False Is 47831 a composite number? True Is 1565 a composite number? True Is 190699 a prime number? True Is 7621 composite? False Is 3785 a composite number? True Is 412771 a composite number? False Is 1271 a prime number? False Is 21635 composite? True Is 406661 a composite number? False Is 9034 a prime number? False Is 31469 a composite number? False Is 471997 composite? False Is 2175923 a composite number? True Is 624311 a prime number? True Is 1455577 a composite number? True Is 50441 composite? False Is 103951 a composite number? False Is 1559 a composite number? False Is 4127 a prime number? True Is 192667 a prime number? True Is 24689 composite? True Is 191561 prime? True Is 38105 a prime number? False Is 3683 a composite number? True Is 17291 prime? True Is 1189 prime? False Is 58503 a prime number? False Is 1341121 prime? True Is 7493 composite? True Is 12517 a prime number? True Is 2575487 prime? True Is 10349 prime? False Is 66337 prime? True Is 12389 prime? False Is 1365907 composite? False Is 9543 prime? False Is 454673 prime? True Is 9271 prime? False Is 205879 prime? True Is 16007 a prime number? True Is 70169 composite? True Is 1168523 a prime number? True Is 1942973 a composite number? True Is 544718 composite? True Is 28111 composite? False Is 106289 composite? True Is 214707 composite? True Is 193283 composite? False Is 10223 prime? True Is 782339 composite? False Is 108807 a composite number? True Is 112787 composite? False Is 129527 composite? False Is 36191 composite? False Is 211913 a composite number? True Is 11579 a prime number? True Is 52141 prime? False Is 5919 composite? True Is 4391 composite? False Is 142271 a composite number? False Is 1052998 a composite number? True Is 2719817 composite? True Is 604223 a prime number? True Is 5545 composite? True Is 21173 a composite number? True Is 346529 a composite number? False Is 103769 a composite number? False Is 30259 a prime number? True Is 3495851 a composite number? False Is 299543 composite? True Is 23186 a prime number? False Is 33 a composite number? True Is 19939 a prime number? False Is 6641 a composite number? True Is 78
{ "pile_set_name": "DM Mathematics" }
. Let g = m + -9. Calculate the remainder when g is divided by 12. 9 Suppose -4*r + 51 = 7. Suppose 0 = -b - 2*b + 6. What is the remainder when r is divided by 4/(-8) - (-13)/b? 5 Suppose 8 = -3*p + 53. Suppose 2*b + 5*t = -21, -t = 4*b - 0 + p. Calculate the remainder when (-61)/(-1 + 3 + b) is divided by 21. 19 Let m = 10 + -5. Suppose m*s + 2*z - 5 = 0, z = -4*s - 2*z - 3. Suppose -s*f = -20 - 31. What is the remainder when f is divided by 6? 5 Suppose -3*l = -2*j - 17, 2*l - 5 = -4*j + 1. Suppose l*u - 26 = -d, d - u = -3*u + 20. What is the remainder when d is divided by 9? 7 Let m be ((-6)/(-10))/((-2)/(-10)). Suppose -6*u = 2*r - m*u + 67, -5*r - 196 = -2*u. Let g = -13 - r. Calculate the remainder when g is divided by 13. 12 Let c(v) = -v**3 + 14*v**2 + v - 11. Let o(h) = 2*h - 6. What is the remainder when c(14) is divided by o(4)? 1 Let l = 16 - 6. Let o = 24 + -5. What is the remainder when o is divided by l? 9 Suppose -14*j + 12*j = -36. What is the remainder when 53 is divided by j? 17 Let k(h) = -h + 4. Let j = -14 - -8. What is the remainder when k(j) is divided by 4? 2 Suppose -50*w = -53*w + 108. What is the remainder when 140 is divided by w? 32 Let j(b) = 4 + b + 2*b**2 - 2*b**2 - b**2. Let h be j(0). Suppose -6 = -h*f + f. What is the remainder when f is divided by 1? 0 Let f(x) = -x**3 + 5*x**2 - 2*x + 1. Let l be (-6)/(-2) + 5/(-5). Calculate the remainder when 16 is divided by f(l). 7 Suppose 3*r + i = 2*i + 26, 5*r = i + 40. What is the remainder when r is divided by 1 + 3/(-3)*-2? 1 Let z = 251 - 167. Suppose -121 - 39 = -5*n. Let r = z - n. Calculate the remainder when r is divided by 18. 16 Suppose -362 = -3*j + d, 5*j - 5*d + 0*d = 610. Suppose -4*k + 4*f + j = 0, -2*k = -0*k - 4*f - 66. What is the remainder when 107 is divided by k? 26 Suppose -4*m = -0*m - 52. What is the remainder when 49 is divided by m? 10 Let t(w) = 14 - 2*w + 9*w - 5*w. Calculate the remainder when (1 + -1 - 0) + 5 is divided by t(-6). 1 Let h(s) = -2*s**3 - 3*s**2 - 3*s - 2. Suppose 4*w + 4*j + 4 = -j, 0 = w + j + 2. Let c = -8 - w. Calculate the remainder when 15 is divided by h(c). 7 What is the remainder when ((-3)/(-6))/(-1 - 71/(-70)) is divided by 10? 5 What is the remainder when 21 is divided by (-2)/1 - (0 - (13 - 3))? 5 Let r(q) = 11*q**2 + 2*q + 1. What is the remainder when 47 is divided by r(-1)? 7 Let l be (-6)/4 - (-380)/(-8). Let x = l + 70. Calculate the remainder when x is divided by 11. 10 Let h(q) = q**2 + 8*q + 5. Let y be h(-5). Let c = y - -12. What is the remainder when 3 is divided by c? 1 What is the remainder when -3 + 4 + 1 + 60 is divided by 69/3 - (-4)/(-2)? 20 Let b be (9/6 - 2)*0. Suppose b = -k - 2*z + 12, 1 = -z + 3. What is the remainder when 15 is divided by k? 7 What is the remainder when 233/7 - 8/28 is divided by 9? 6 Calculate the remainder when 85 is divided by (2 - -2)/(-4) + 30. 27 Let g = -27 - -43. Let a be -4 + 4 - -5*1. Suppose 0 = a*c - 13 - 17. Calculate the remainder when g is divided by c. 4 Suppose 2*v + v = 9. Suppose -a - 30 = -v*a. Calculate the remainder when 27 is divided by a. 12 Suppose 7*q = 92 - 29. Suppose 0 = 3*l + 5*u - 60, l + 2*u - 34 = 5*u. What is the remainder when l is divided by q? 7 Let u(x) = -x**3 + 4*x**2 - 2*x + 4. Let g be (-6)/(-8)*(0 + 4). What is the remainder when (16/10)/(2/25) is divided by u(g)? 6 Let d = -4 + 41. Calculate the remainder when d is divided by (-30)/(18/(-3)) - -3. 5 Let d be -2*((-9)/(-6) + -3). Let x(f) = -f - 2. Let s be x(4). What is the remainder when (s/5)/(d/(-15)) is divided by 4? 2 Let b be 22/4*(19 - 17). Let f = b + -7. Calculate the remainder when 5 is divided by f. 1 Let f be ((-4)/(-5))/(1/5). Calculate the remainder when 13 is divided by ((-10)/f)/((-3)/6). 3 Let c(a) = -a**3 + 8*a**2 - 9*a. What is the remainder when c(4) is divided by 5? 3 Let q(d) = d**3 - 3*d + 1. Let l be q(2). Suppose 0 = -a - y + 3, a = -5*y + l - 0. Suppose -a*i + 7*i - 140 = 0. What is the remainder when i is divided by 18? 17 Let c = -9 - -9. Suppose c = 5*l - 17 - 3. Calculate the remainder when 10 is divided by l. 2 Let s = 42 - 22. What is the remainder when s is divided by 7? 6 Let b(z) = -21*z - 2. Calculate the remainder when b(-3) is divided by 16. 13 Let s(q) = -q - 6. Let v be s(0). Let w = 24 + -11. Calculate the remainder when 6/(5/v - -1) is divided by w. 10 Suppose 5*k = -5*m + 50, -k = -0*m + 4*m - 43. Calculate the remainder when 42 is divided by m. 9 Suppose -17*k + 12*k + 70 = 0. What is the remainder when 23 is divided by k? 9 Suppose 3*v = 2 + 10. Suppose 6*q = v*q + 30. Suppose -5*l + 5 = -q. What is the remainder when 10 is divided by l? 2 Suppose -47 = -s - 12. Suppose 6*l - s = 2*l - 3*y, -3*l - 3*y = -24. Calculate the remainder when l is divided by 6. 5 Suppose -q + 5*q - 24 = 0. Calculate the remainder when 29 is divided by q. 5 Let m(w) = -8*w - 2. Let k(c) = 3*c + 1. Let t(u) = -7*k(u) - 2*m(u). Calculate the remainder when 64 is divided by t(-5). 20 Let n = -49 + 4. Let a = n - -74. What is the remainder when a is divided by 8 + 1*(2 - 0)? 9 Suppose -r + 2*r = 45. Let q = 63 - r. Calculate the remainder when (30/5)/(-12)*-106 is divided by q. 17 Let t(r) = -2*r**2 + 23*r + 6. What is the remainder when t(7) is divided by 9? 6 Let p(a) = -a**3 + 34. Suppose 2*t + 4 = -d, 5*d - 4*t = -0*d + 22. Suppose 0 = -d*c - 2*c. Calculate the remainder when p(c) is divided by 18. 16 Let c = 31 + 35. Suppose c = 3*z - z. What is the remainder when z is divided by 9? 6 Let x = -2 + 0. Let j(z) = z**2 - 4*z - 4. Let k be j(4). What is the remainder when 37 is divided by (52/8)/(x/k)? 11 Let v(k) = k**3 - k**2 - 5*k + 3. Suppose 0*a + 4 = 2*a. Calculate the remainder when v(3) is divided by a. 0 Suppose -3*d - 4 + 85 = 0. Calculate the remainder when 105 is divided by d. 24 Let s(r) = -r**3 + 5*r**2 + 2*r - 4. Let f(z) = z**3 - 9*z**2 + z + 12. Let p = 23 + -14. What is the remainder when f(p) is divided by s(5)? 3 What is the remainder when 22 is divided by -13*1*(-4 - -3)? 9 Let m = 4 - -1. Let o = 2 - 5. What is the remainder when m is divided by (-7)/o - 6/(-9)? 2 Let o = -4 + 14. Let x(s) = -6*s + 7. What is the remainder when x(-5) is divided by o? 7 Suppose 0 = u - 0*u - 30. Let y be (-2)/(-10) + 414/u. Suppose -5*g = -3*g - y. Calculate the remainder when g is divided by 5. 2 Suppose r - 2*c = -8, 3*r + 2*c - 2 = 7*r. Suppose 100 = r*d + 3*d. What is the remainder when d is divided by 7? 6 Suppose -4*a - a = 2*q - 46, 0 = 3*q + 4*a - 62. Calculate the remainder when 33 is divided by q. 15 Let s = 115 - 67. Let c = -25 + 50. Calculate the remainder when s is divided by c. 23 Let h(r) = -51*r - 8. Calculate the remainder when h(-4) is divided by 9. 7 Let k(t) = 11*t + 2. Let l(j) = j. Let o be l(4). Calculate the remainder when k(o) is divided by (-1)/(-2) + 93/6. 14 Suppose 2*g + 0*k - 3*k - 10 = 0, 2*g = 4*k + 10. Calculate the remainder when 14 is divided by g. 4 Suppose -4*r + 14 = -z - z, 3*z - 4*r = -13. What is the remainder when 2 is divided by z? 0 Let m = -8 + 39. Calculate the remainder when m is divided by 16. 15 Suppose -101 = 4*l + 5*y, 38 = -3*l - 2*y - 29. Let w = l + 73. Calculate the remainder when w is divided by 14. 12 Suppose 2*n - 1 = 7. Let u(o) = 2*o - 4. Let v be u(-8). Let k = n - v. Calculate the remainder when k is divided by 13. 11 Let l = 31 - 17. Suppose -4*x - 2*m = -l, 2*x - 4*m = -2*x + 20. Suppose 5*n + 2 = -3, -x*n + 21 = y. Calculate the remainder when y is divided by 13. 12 Suppose 3*i + 231 = 3*n + i, 0 = n + i - 77. Calculate the remainder when n is divided by 20. 17 Suppose -n = -3*n + 4*l + 60, -3*n + l = -75. Calculate the remainder when 70 is divided by n. 22 Let b = 149 - 59. Let l = 168 - b. Calculate the remainder when l is divided by 20. 18 Let k = 22 - 0. What is the remainder when 65 is divided by k? 21 Let v(b) = -b**2 - 4*b + 2. Let u be v(-4). Suppose 0 = -u*r - r + 33. Calculate the remainder when r is divided by 4. 3 Suppose 13*w = 12*w + 23. What is the remainder when 89 is divided by w? 20 Suppose -2*j - 81 = -k, k - 22 = -5*j + 52. Let n be -21 - 2 - (0 + -3). Let h = n + k. Calculate the remainder when h is divided by 20. 19 Let u be (0 + 0 - -4) + -1. Suppose -4*x = -2*x
{ "pile_set_name": "DM Mathematics" }
et j = 0.216 - -89.784. Let v = -78 + j. Let d = 11.9918 - v. What is d rounded to 3 decimal places? -0.008 Let k = 6928 + -6927.93943. Round k to 2 decimal places. 0.06 Let v = 122 - 79. Suppose -4*g - v = 13. Let o(m) = m**2 + 8*m + 46. Let c be o(g). Round c to the nearest ten. 130 Let y = -0.0868 + -3.2492. Let q = 0.064 - y. Let p = q - 3.25. What is p rounded to two decimal places? 0.15 Let p be 1 + 0 + (-12)/(-132)*9916489. What is p rounded to the nearest 100000? 900000 Suppose 0 = 6*v + 234 + 66. Suppose n + 3*n - 2*p - 20 = 0, 2*p - 10 = -2*n. Let u be n*v/1*-1252. What is u rounded to the nearest 10000? 310000 Let h = 1.5312 + -0.0012. Let p = 11.57 + h. Round p to 0 decimal places. 13 Suppose -1252056 = -3*k + 2*y - 271832, 2*y - 653476 = -2*k. What is k rounded to the nearest ten thousand? 330000 Let z = -0.065 + 63.065. Let s = -25928597.999996 - -25928661. Let l = z - s. What is l rounded to six decimal places? -0.000004 Let s be (15/(-2))/5 - (-56)/16. Let v(f) = -67 + 0*f + 3*f**2 - s*f + 82 - 7*f. Let p be v(10). Round p to the nearest 10. 230 Let g(q) = -5*q - 66. Let a be g(-14). Suppose -1436 = a*i + 4204. Round i to the nearest one thousand. -1000 Let c = -2.87994684 + 2.88. What is c rounded to 5 decimal places? 0.00005 Let s = -156 - 14. Let v = s - -177.6. What is v rounded to zero decimal places? 8 Let c = -0.046536 + 1570.626536. Let p = -1591 + c. Round p to 1 dp. -20.4 Let k = -3014 - 693. Let x = k + 4038.4. Let t = x + -299. Round t to the nearest integer. 32 Let g = -0.4008 + 38.2208. Let q = 20 + -16.78. Let o = q - g. Round o to the nearest integer. -35 Let v = -7.933 + 7.932984931. What is v rounded to 6 decimal places? -0.000015 Let m = -0.33391 + 0.297. Round m to 2 dps. -0.04 Let i = -7 + 7.00108. Let y = i - -0.24002. Let d = -0.224 + y. Round d to 3 decimal places. 0.017 Let k(z) = -3333*z + 4. Let u = 57 - 69. Let w be k(u). Suppose 0 = -y - 0*y - n - w, -y - 40000 = -5*n. What is y rounded to the nearest one hundred thousand? 0 Suppose 12*l = 8*l + 84. Let y be 3/(-2)*56/l. Let o = -149 + y. Round o to the nearest ten. -150 Let u = 996.56278 + -0.48278. Round u to the nearest one hundred. 1000 Let r = -3600.336 - -3693.5. Let l = 93 - r. What is l rounded to two dps? -0.16 Let r = -12.6255 + 13.13. What is r rounded to one decimal place? 0.5 Let o = -481557.9670698 + 158.6036698. Let k = -481354 - o. Let t = k - 45.4. Round t to three dps. -0.037 Let a(h) = -216*h**2 + 152*h - 6 - 81*h - 83*h. Let t be a(4). What is t rounded to the nearest one hundred? -3500 Let k = -21 - -22.86. Let m = 1.85999834 - k. Round m to seven decimal places. -0.0000017 Let s(a) = 886*a**3 + 10*a**2 + 80*a + 76. Let c be s(-6). What is c rounded to the nearest 100000? -200000 Let t = -512.4 + 512.2514. Round t to 2 dps. -0.15 Let u = -51986.8986 - -51981. Round u to the nearest integer. -6 Suppose -172*w + 168*w + 317520000 = 0. Suppose -31*n = -38*n - w. What is n rounded to the nearest one hundred thousand? -11300000 Let j = -1.08 - 0.1. Let d = -54.82 + j. Let y = -55.99962 - d. What is y rounded to five decimal places? 0.00038 Let l = 141 + -148. Let w be (-3)/l + (-1200688)/112. What is w rounded to the nearest 1000? -11000 Let j = 50 - 13. Let s = j + -80. Let m = s - -43.4. What is m rounded to the nearest integer? 0 Let x be (-30 + 31)/((4/(-242))/2). Let d = x - -205. Round d to the nearest ten. 80 Let c be (-25000)/2*(12 + 222080/(-10)). Round c to the nearest 1000000. 277000000 Let x = -4503.7 - -709.9. Round x to the nearest 1000. -4000 Let t(h) = -2 + 3 - 2*h + 17. Let v be t(7). Suppose 1265528 = -v*k + 44065528. Round k to the nearest one million. 11000000 Let w = -29068 - -29069.2163. Let q = 1.22 - w. Round q to 4 dps. 0.0037 Let f = 67.260643786 + -12.060644576. Let j = f - 55.2. What is j rounded to 6 dps? -0.000001 Let o(b) = 862*b**2 - b. Let y = -16 + 21. Suppose y*w + 11 = 1. Let h be o(w). What is h rounded to the nearest 100? 3500 Suppose -6852497 = -48*f - 785297. What is f rounded to the nearest one hundred thousand? 100000 Let g(w) be the second derivative of 2751*w**5/10 + 5*w**4/12 + w**3/2 + w**2 + 65*w. Let m be g(-2). Round m to the nearest 100000. 0 Let s = -23117.519 + 23139. Round s to one decimal place. 21.5 Let r(b) = b**3 + 20*b**2 - 44*b. Let k be r(-22). Suppose 2*u + d = 20360003, k = -4*u + 9*d - 4*d + 40719985. Round u to the nearest one million. 10000000 Let r be (11/((-363)/(-1273096)))/(((-24)/135)/4). What is r rounded to the nearest one hundred thousand? -900000 Let v = 434 + -433.778. What is v rounded to 2 dps? 0.22 Let s = -21 + 24. Let p = s - 7.3. Let b = p + 4.2999978. Round b to 6 decimal places. -0.000002 Let x = -0.099 - 0.001. Let h = -0.11 + x. Let n = h + 0.14. What is n rounded to one dp? -0.1 Let n = 0.2264 - 0.2263323. What is n rounded to five decimal places? 0.00007 Let t = -1897 - -1918.27. Let k = t - 22.3. Let o = -0.55 + k. What is o rounded to 1 decimal place? -1.6 Let f = -10534.00016255 - -10534. What is f rounded to five decimal places? -0.00016 Let b = 2.35 - 0.3. Let r = 11.75 - b. Let q = r - 9.7019. What is q rounded to four dps? -0.0019 Let o = -26433.999920168 - -26434. What is o rounded to seven decimal places? 0.0000798 Suppose 8*x + 336206 + 6071858 = 0. Let m = 416344 + x. Let k = m - -192664. Round k to the nearest ten thousand. -190000 Let f = -30911.99 - -31106. Round f to the nearest 10. 190 Let t = -0.1938 + 31.9138. Let c = t + -36. Let h = 4.2 + c. Round h to 1 decimal place. -0.1 Let n be 3 - ((-48)/15)/((-2)/(-10)). Suppose n*r = 14*r + 74000. Round r to the nearest 1000. 15000 Let f = 0 - 98. Let w = f - -97.959. Let s = 0.051 - w. What is s rounded to 2 dps? 0.09 Let q = 2.1 + -2.15. Let b = 30.05 + q. Let t = -30.00000014 + b. Round t to 7 decimal places. -0.0000001 Let j = -0.04 + 0.128. Let a = j + 0.037. Let z = -0.035 + a. Round z to two dps. 0.09 Let s = -1254 + 1320. Let d = -2421 - -2355.55. Let c = s + d. Round c to one dp. 0.6 Let t = 27.3375890233 + -27.3376. What is t rounded to seven dps? -0.000011 Let s = -17925 + 17917.0692. Let p = -0.0092 + s. Let k = -7.9053 - p. What is k rounded to two dps? 0.03 Let w(x) = 7999993*x + 26. Let g be w(3). Suppose 5999995 = -i + n, -6*n = -4*i - 7*n - g. Round i to the nearest 1000000. -6000000 Let v = -1252.599966317 - -1252.6. What is v rounded to 7 decimal places? 0.0000337 Let z = 92048.908 - -838.2912. Let m = z + -92613.1991534. Let o = m + -274. What is o rounded to six dps? 0.000047 Let b = -403763450.1 - 1261583975.9. Let t = -1665347471.99999884 - b. Let s = t + 46. Round s to seven dps. 0.0000012 Let b be 2/(48/488) - (-1)/(-3). Let c be b*1000/(-60)*(678 - 0). Round c to the nearest ten thousand. -230000 Let t = -8348 - -8347.990989. Let q = 0.009 + t. What is q rounded to 5 decimal places? -0.00001 Let i = 40 - 53. Let l = -12.988 - i. Let f = l - 0.01200075. Round f to 7 decimal places. -0.0000008 Suppose -3*r - 15*r + 6987096 = 0. Let w = -752172 + r. Round w to the nearest 10000. -360000 Let h = -39849.32461257 + 39830.32461. Let v = -19 - h. Round v to seven decimal places. 0.0000026 Let l = -1062379363.99999829 + 1062379260. Let u = -104 - l. Round u to seven dps. -0.0000017 Let x = -0.19 + -44.31. Let y = -5 - x. Let l = 39.50000693 - y. What is l rounded to six decimal places? 0.000007 Let k = 2815.98467 - 2816. Round k to four dps. -0.0153 Let l = -374.4 - -374.4001947. Round l to 5 dps. 0.00019 Let z = -2169 + 2168.936. Let i = -15617 - -15617.06393. Let r = z + i. Round r to 5 dps. -0.00007 Let r = -6.43 - -6.368. Let s = -0.061998468 - r. Round s to seven decimal places. 0.0000015 Let f be (-504)/(-45)*15/(-1). Let i be f/2*24/(-9)*1. Let w = 356 - i. Round w to the nearest one hundred. 100 Suppose 0 = 10*t - 6*t - 208000000. Let p = -18 - -22. Suppose -p*r - 6*r = t. Round r to the nearest 1000000. -5000000 Let a be 10/(-4)*(-156)/(-130). Let i be (a - 337399881/35) + (-2)/5. What is i rounded to the nearest one hundred thousand? -9600000 Let d = 0.156284 - -10142.943716. What is d rounded to the nearest 1000? 10000 Let o = -3.857 + 3.856984628. Round o to seven dps. -0.0000154 Let v = -173 + 147. Let i = -2802.38 + 2828. Let l = i + v. What is l round
{ "pile_set_name": "DM Mathematics" }
at is ((-4 + 6 - 8) + 15 - 11) + (0 - 2)? -4 Evaluate -2 + 4 + -56 - (188 - 190). -52 Calculate -216 + 283 - (44 - -9). 14 Calculate 11 + -18 + -26 - (0 - -10 - 14). -29 What is (29 - -2) + -132 + (266 - 136)? 29 (62 - (-65 + 117)) + (-42 - (-1 + -1)) -30 Evaluate (113 - (-5 - -161) - (0 - -14)) + -1. -58 What is the value of 52 - (-1 + -2 - (-93 + 95))? 57 What is the value of -51 - (30 - 7) - -33? -41 Evaluate -14 + (-12 - (9 + -3) - -16 - (4 + -5)). -15 Calculate 39 + -19 - -19 - (-26 - -135). -70 What is the value of -28 - (-10 - 17) - (0 - 11) - (20 + -5)? -5 Calculate -3 + 54 + (6 - (1 + -1 + 1)). 56 What is the value of -21 + -2 + 94 + -187 + 58? -58 Evaluate 21 + (15 - -23) - 5. 54 What is the value of 2 + 5 + 6 + -1 + -2 + -9 + 18? 19 Evaluate -18 + -138 + -7 + (20 - (2 - 3)). -142 57 - ((11 - 1) + 11 + 15 + -30) 51 What is the value of -10 + (-23 - -65) + -24 - -78? 86 What is -18 + 3 + -1 - (693 - 707)? -2 Evaluate (-48 - -3) + (29 - (10 + 8 + -5 - -4)). -33 What is -15 - (-10 + (20 - 0) - 3) - 66? -88 (2 - -2) + -4 + (-2 - 5) - (-26 + 48) -29 -103 - (-105 + -54 + 99) -43 Evaluate (20 - -55) + (-317 - -226). -16 Evaluate -5 + (17 - (-50 - -18 - 15)). 59 5 - -2 - (28 + (1 - 23) + 55) -54 (-1 - -2 - 14) + (155 - 30) + -115 -3 What is the value of (0 - -134) + (1057 - 1099) + -43? 49 55 - (-10 + (-11 - (-21 - (4 - 22)))) 73 What is 49 - (164 + -206 + 113)? -22 What is the value of -135 - 3 - (37 + 1 + (429 - 470))? -135 What is the value of -190 - -226 - (18 - -1) - 13? 4 What is the value of (283 - 271) + (13 - -2) - (0 - 6)? 33 What is (-58 + 96 - 28) + 78? 88 Evaluate -8 + 5 + -10 + 115 + -17 - 12. 73 What is the value of 5 + 109 - ((-4 - (11 + 0 - 22)) + -2)? 109 -166 + (-20 - -46 - -2) - -43 -95 What is the value of -100 - (-21 - (25 + -20 + -26))? -100 Evaluate -32 - ((-73 - -31) + -10). 20 Calculate (-11 - (-44 - -15)) + (2 - -3) + 63. 86 -1 + (-1 - 8) + (2442 - 2383) 49 What is the value of 2 - (-43 + -8 - (-8 + 3))? 48 17 + -4 - ((-12 - -17) + (-1 - 6 - 11)) 26 Evaluate (-95 - -79) + (-12 - -18 - 55). -65 Calculate ((-111 - -119) + (-1 - -7) - 59) + (-9 - 1). -55 Calculate -2 + (7 + -7 - 3) + 5 - (-4 + 50). -46 What is (18 - 4) + 38 - 10? 42 What is 18 + -141 - -88 - (-2 + 11)? -44 What is the value of (-32 - -1) + -3463 + 3546? 52 What is -2 + 4 + -12 + -10 + 60 + 3 + -1? 42 What is the value of -5 - -4 - 43 - (1 - 12) - -4? -29 What is the value of 102 - -1 - (1 - (1 + 16) - (2085 + -2105))? 99 Calculate 34 + (-17 - (35 + 68)) + -27. -113 What is the value of 7 + 0 - ((21 - 17) + (1 - 2) - 54)? 58 Calculate -48 + (-76 + 48 + -11 - -207). 120 Calculate 12 - 76 - (-5 - ((14 - 5) + -5)). -55 -27 - -4 - (37 + (2 - 4)) -58 -99 + 73 + 35 + -56 + -5 + 4 + -2 -50 What is the value of 47 - (0 - (2 - (10 + -8) - 11))? 36 What is the value of -21 + (12 - (-82 + 98))? -25 What is the value of 0 + -43 - ((0 - 407) + 405)? -41 Calculate (-4 - (8 + -13)) + (-1 + -23 - (26 + -25)). -24 What is -11 + 68 + -27 + (2 - 47)? -15 Calculate -3 - ((60 - 28) + (0 - 0)). -35 Calculate (2 - 4) + (860 + -838 - (20 - -1)). -1 What is the value of (-127 + 291 - 74) + (-4 - -2)? 88 Calculate -24 + -5 + (152 - 97). 26 Evaluate -47 - -55 - (7 + (-77 - -17) + 0 + 1). 60 Evaluate (-20 - -92) + 249 + -328. -7 Calculate 256 + -384 - (2 - 130). 0 -24 - (26 - 5 - -8 - 11) -42 What is the value of 37 - (-42 - ((-14 - 18) + -153))? -106 Evaluate (-4 - -12) + 43 + -187 - -4. -132 Calculate 2 - -3 - (-12 + 6 + 9) - -5. 7 14 - 11 - (-29 + 14 - -12) 6 Calculate -164 + 225 - (46 - 73). 88 Evaluate 1 - (-12 + 0) - (-779 - -766). 26 1 - (77 + (-20 - 23)) - -8 -25 Calculate 6 - (0 + 35 - (-401 - -396)). -34 Evaluate (-7 - 7 - -19 - 0) + (103 - 202). -94 Calculate 19 - (-54 + -45 + 97). 21 Evaluate -2 + -68 - (-29 - 23). -18 Evaluate -37 - (2 + (-18 + 7 - 11)). -17 Evaluate (2 - (-9 + -6)) + (-2721 - -2810). 106 What is (-6 - (-3 - 3)) + -20 + 8 + 30? 18 -45 + 177 + -190 + (1 - -16) + 19 -22 What is (-13 - (-72 - 3)) + -2 + (-8 - -19) + -7? 64 Calculate 9 + -3 + -3 - 2 - (-3 - 32). 36 Evaluate (88 - (-48 + -7 + 46)) + 4. 101 Calculate -25 + 136 + -67 + (-1 - -10). 53 What is the value of (-23 - -55) + (-17 - 3) + -21 + -1? -10 Calculate -12 - ((32 - 6) + -35 + (1 - -1)). -5 Calculate (-5 - -2) + 22 + (-124 - -9) - -20. -76 What is the value of -42 - -68 - 62 - -7? -29 -52 + -4 + (12 - 1 - (-17 + -60 - -83)) -51 (12 - 16) + -4 + -27 + 116 81 What is the value of -153 + 136 + (7 + 42 - -7)? 39 What is the value of -2 + 6 + -5 - (8 - -2) - (89 - 149)? 49 What is the value of (-145 - -100) + (6 + -2 + -7 - 5)? -53 Evaluate 3 + -14 - (3 - 9) - (-69 - -14). 50 (0 - -14) + (11 - 12) + -8 + -18 -13 (4 + -18 - (17 + -12 + -22)) + -44 -41 What is the value of (313 - (39 + 259)) + 10 + (0 - (1 - 0))? 24 What is 68 + 3 + -14 + (18 - (-16 + 32 - 12))? 71 What is 1 + -9 + (4 - 20) + (149 - 141)? -16 What is the value of -61 + 16 + (20 - 12)? -37 Evaluate -14 + 8 + (3 - -39) + 2 + 14. 52 What is 17 + (-3 - 2) - (12 + -27 + 26)? 1 Calculate (141 - 145 - (-1 + -6)) + -13 + 50. 40 What is 2 + (-19 + -6 + 9 + -2 - -9) + 32? 25 Evaluate 62 - 35 - (1 - (-11 - -5)). 20 13 - 15 - -12 - (-52 + 14) 48 What is the value of -37 + -9 + 33 + -3? -16 Evaluate (-14 - 25) + -19 - -93. 35 Calculate 29 - 35 - (5 - (0 + 0) - 10) - 39. -40 7 + (-1 + -1 - -8 - (-95 + 71 - -25)) 12 -24 + -31 + 39 + (2 - -3) -11 What is the value of -2 - 12 - -2 - (518 - 505) - -5? -20 What is -22 + (106 - 141 - -35)? -22 What is the value of 708 - 748 - ((-2 - (-20 - -3)) + -2)? -53 (41 - -74) + -44 + -74 -3 Calculate -22 + -1 + (-112 - -69 - -15). -51 Evaluate -20 + 11 + 52 - (-18 + -12 + 9). 64 What is the value of -6 + (-95 - -6) + -28 + (-8 - -28)? -103 Calculate (-18 - (-11 + -13 + (14 - 19))) + 54. 65 -1350 + 1348 + -1 + (3 - -15) 15 Calculate 54 + (-61 - 6) + 20. 7 (35 - 43) + 11 + (-9 - 0) - 2 -8 Calculate 1 + (1 - 5) - 41 - (-50 - (9 + -53)). -38 What is the value of (-21 - 1) + 50 + -31 + -8 + -9? -20 What is the value of -860 - -866 - (15 + 0) - (19 - -1)? -29 (-72 - -45 - (1 - 117)) + -35 54 Evaluate 15 + 14 + 177 + -105. 101 20 - -43 - (-8 + 21) 50 What is the value of 30 + -152 + 106 - (0 - 7)? -9 Calculate -10 - (-110 - -125 - (0 + -4 + 1)). -28 Calculate 2 + (-22 - -3) - (-52 - (66 - 130)). -29 What is the value of (0 - 62) + -155 + (77 - -74)? -66 What is the value of -2 - 6 - -16 - (8 - (13 + -4 - 97))? -88 What is the value of 42 - (39 + 38 + -73)? 38 What is 60 + (-5 - -6) - (13 + 11 + -34)? 71 (-4 - 0) + 60 + -17 - (2 + 21 + -16) 32 (3 - 0) + -12 + (-101 - -101 - 22) -31 What is -43 - (-3 - 13 - ((4 - 26) + 8))? -41 185 - 174 - (56 - 0) - (8 + 10 + -6) -57 What is the value of -69 + -59 - ((-34 - -15) + -12)? -97 (-32 - (-2 - 0)) + (23474 - 23358) 86 Calculate -8 + 0 - -22 - (7 - 1) - (-22 - -6). 24 (80 - (53 - -6)) + -93 -72 Evaluate 2 + -36 + 3 - (-40 - -30 - -15). -36 What is 13 - (34 - ((-4 - 7) + 23))? -9 Evaluate 12 + (89 - 82 - (74 + -1 - -2) - -6). -50 What is the value of -29 - -13 - (-66 + -8)? 58 -8 + -97 + 62 + -28 -71 What is 33 + (-10 - 32) - 21 - 87? -117 108 + -101 + -1 + 8 + -2 - -7 19 What is -4 + 2 + 4 + -90 + 84? -4 What is the value of 1 + 10 - (-519 - -299 - -260)? -29 Calculate 13 - (-21 + 17 + -12 + 8). 21 Calculate -291 + 299 - (1 - -1 - (-10 - 4)). -8 Evaluate -4 + (28 - -210 - 103). 131 Calculate (95 - (-25 + 7 + 71)) + (16 - -1). 59 Calculate (-1599 - -1699) + -3 + 6 + -44. 59 What is (-16 - -5) + (59 - (15 + -16) - 21)? 28 1 - 0 - (0 + -25 - ((20 - 6) + -71)) -31 -17 + (-14 - (-19 + -32)) - (-4 + 1) - 0 23 Calculate -14 - ((18 + -59 - -14) + 36). -23 Evaluate -178 + 49 - -27 - (16 + 1). -119 Evaluate (-19 - -11) + -34 + 433 + -423. -32 Evaluate (27 + 21 - 1) + -7. 40 Evaluate 1 + -25 - (78 + 116 + -204). -14 -27 + 0 + (-46 - (-46 + (-25 - -25))) -27 What is the value of (-12 - (-1 + 1)) + (3 + -4 - (1235 + -1244))? -4 What is 0 + (1 - -31) - (816 - 852)? 68 (-47 - -81 - (10 + (15 - 10))) + -83 -64 Calculate 1 + (-3 + (8 - -9) + -13 - 3). -1 What is 19 + 1 + (-5 - (-35 + 52))? -2 (97 - 85) + 80 + (6 - 9) 89 What is -33 - -44 - (44 + -10)? -23 What is -15 + 37 + -12 + 19? 29 What is -39 + -72 - -123 - 55? -43 What is -89 + -2 + 5 + -8 + 35 + 7 + -32? -84 6 + (12 - ((39 - 20)
{ "pile_set_name": "DM Mathematics" }
10 Let l(x) = 3*x**2 + x + 2. Suppose 2*i + 6 = 3*i. Let p = 5 + i. Calculate the remainder when l(3) is divided by p. 10 Suppose 319 = 5*g - 136. Let a = g + -41. Suppose 2*n + 2*p = -2*n + 72, p + 15 = n. Calculate the remainder when a is divided by n. 16 Let o be 80/6 + 7/(-21). Suppose -o*v + 11*v = -22. Suppose q - 12 = t + 2*t, 2*q + 2*t = 0. Calculate the remainder when v is divided by q. 2 Let s = 7 + -3. Suppose 0 = 2*y - 2 - 2. Calculate the remainder when s is divided by y. 0 Let n be ((-114)/4)/(3/(-4)). Suppose -g = g - n. Calculate the remainder when g - 0*(-1)/3 is divided by 7. 5 Let j(p) = p + 9. Calculate the remainder when j(12) is divided by 6. 3 Suppose -q + 78 = -3*q + 4*y, 0 = -5*q + 3*y - 181. Let c = q - -52. What is the remainder when 32 is divided by c? 15 Let j(u) = u - 1. Let a be j(7). Let d be (a/(-8))/(1/(-4)). Suppose -5 = -2*h + d*c, 3*h - 4*h + 4*c = 5. Calculate the remainder when 13 is divided by h. 6 Let f be (-156)/(-27) - 2/(-9). What is the remainder when (-4)/f*(-138)/4 is divided by ((-2)/6)/(3/(-54))? 5 Let t be (14/(-21))/((-2)/6). Suppose 0*u + u = -4*w + 164, -3*w + 118 = t*u. Calculate the remainder when w is divided by 9. 6 Suppose 3*x - 112 = -4*z, 3*z - 5*x - 97 = -4*x. Calculate the remainder when z is divided by 17. 14 Let o(k) = -k**3 + 5*k**2 + 5. Let h(u) = u + 3. Calculate the remainder when o(5) is divided by h(0). 2 Suppose -4*j - u + 12 = -0*u, -j - 2*u + 3 = 0. Suppose 2*s - 17 = -1. What is the remainder when s is divided by j? 2 Suppose 50 + 58 = 4*y. Suppose 0 = -7*i - 2*i + 63. Calculate the remainder when y is divided by i. 6 Let m = 25 + -20. Calculate the remainder when 17 is divided by m. 2 Suppose -3*p = -4*p - 1. Calculate the remainder when 30 is divided by -5 + 13 - (p - -1). 6 Suppose -3*h = -3*z + 75, -4*z + z + 45 = 3*h. Suppose -3*g = -z - 1. Suppose -6*b + 260 = 7*b. Calculate the remainder when b is divided by g. 6 Let n be ((-12)/(-14))/(3/21). Calculate the remainder when (12/8)/(n/20) is divided by 3. 2 Let t(l) = l - 4. Calculate the remainder when t(14) is divided by 3. 1 Let p(n) = 4*n - 4. What is the remainder when 40 is divided by p(5)? 8 Calculate the remainder when (-4)/30 + 4956/45 is divided by 25. 10 Let n(l) = 0*l**2 + l**3 + 8*l + 5*l**2 + 2*l**2 + 4. Calculate the remainder when n(-5) is divided by 5. 4 Let i = -4 + 69. Suppose -4*a + 0 = -12. Suppose 0*x - 77 = -5*o + 2*x, 4*o - 80 = -a*x. What is the remainder when i is divided by o? 14 Suppose -225 = 3*r + 2*r. What is the remainder when (-1008)/r - (-4)/(-10) is divided by 12? 10 Let s(j) = -2*j - 7. Let d be s(-7). Let m = -22 + d. Let z = m + 31. Calculate the remainder when 31 is divided by z. 15 Let x be (-28)/8 + (-1)/2. Calculate the remainder when (-5)/((-10)/x)*-1 is divided by 2. 0 Suppose -s - 3*s = -48. Let r be (-4)/12 + (-284)/(-6). Suppose -2*u - 3*c + r = 0, -6*c = -3*c - 3. Calculate the remainder when u is divided by s. 10 Let o(r) = -2*r - 10. Let h be o(-9). Let s(c) = c**3 - 9*c**2 + 11*c - 11. What is the remainder when s(h) is divided by 7? 6 Suppose 2*l - l - 17 = 0. Suppose 18 = 4*o + 2*x, 4*x - 15 = -4*o + 1. Let r = 4 + o. Calculate the remainder when l is divided by r. 8 Let v(c) = c - 1. Let m be v(6). Suppose -r = -m*r + 44. Let b = -80 - -123. Calculate the remainder when b is divided by r. 10 Suppose -39 = -5*n + 2*n. Let z(o) = -o**2 + 14*o - 15. Let f(m) = -m + 3. Let r be f(-7). Calculate the remainder when z(r) is divided by n. 12 Suppose -b + 8 = -3. Suppose 0 = -0*p - p + b. What is the remainder when 21 is divided by p? 10 Suppose 5 = t - 0*t. Suppose 3*w = t + 31. Calculate the remainder when w is divided by 7. 5 Suppose 0 = -f + 5*f + 12. Let z(o) = -9*o + 6. Let v(r) = -26*r + 19. Let t(x) = -2*v(x) + 7*z(x). What is the remainder when t(f) is divided by 13? 11 Let k(m) = -m + 9. Suppose -2*q + 12 = -0*q. What is the remainder when 9 is divided by k(q)? 0 Suppose 0 = 4*j - 6*j - 120. Let s = -14 - j. What is the remainder when s is divided by 16? 14 Suppose 189 = 10*v - 3*v. Suppose 3*n + 8 - 38 = 0. What is the remainder when v is divided by n? 7 Let t = -18 - -56. Suppose 0 = -4*n - u + 38, 0 = 3*n + 5*u - 2*u - 24. Calculate the remainder when t is divided by n. 8 Let o = -61 + 138. What is the remainder when o is divided by 20? 17 Let x(r) be the third derivative of r**6/120 - 7*r**5/60 - r**4/3 - 2*r**2. Let k be x(8). Suppose z + 5 - 12 = k. What is the remainder when z is divided by 4? 3 What is the remainder when 12/(-20) + (-313)/(-5) is divided by 21? 20 Let t(y) = y**3 - 2*y**2 - 3*y + 3. Let a be t(3). Suppose -4*n + 3*n + a*w + 19 = 0, w + 3 = 0. Let q = 74 + -36. What is the remainder when q is divided by n? 8 Let m be (-13)/(-3) + 1/(-3). Suppose -4*b + 3*b + j + 29 = 0, -m*j = 4*b - 100. What is the remainder when b is divided by 14? 13 Suppose -10*t + 156 = -394. Calculate the remainder when t is divided by 14. 13 Let c(p) = -8*p**2 + 8*p - 6. Let o be c(5). Let n = 5 - o. Suppose 6*h - 2*h - n = 3*u, 4*h - 4*u = 168. Calculate the remainder when h is divided by 12. 9 Let x(n) = -52 + 5*n + 31 + 25. What is the remainder when x(10) is divided by 14? 12 Suppose z + 5*w = -5, w + 3 = -z - 3*w. Calculate the remainder when 64 is divided by z. 4 Suppose -5*s + 23 = 3. Calculate the remainder when 9 is divided by s. 1 Let i = 0 + 2. Suppose 17*y - 20 = 13*y. Calculate the remainder when y is divided by i. 1 Suppose 4 + 1 = k. Suppose -5*x + x = 0. Suppose x = -3*v - w + 27, 5*v + 3*w - 49 = -0*w. Calculate the remainder when v is divided by k. 3 Let b be 1/4 - (-26)/(-8). Let a = 6 + b. Calculate the remainder when 9 is divided by a. 0 Let j(d) = 3*d**2 + 3*d - 3. Suppose -5*m - 3*g = -57 - 18, g = -m + 15. Calculate the remainder when j(-5) is divided by m. 12 Suppose -4*k = -7*k + 231. What is the remainder when k is divided by 20? 17 Let c = -5 + 6. Let p(o) = 13*o**2 - 1. Let v be p(c). Suppose 6*z - 4*z - v = 0. Calculate the remainder when 22 is divided by z. 4 Let y(j) be the third derivative of j**4/12 + 3*j**3/2 - 8*j**2. Let i = 0 + 7. What is the remainder when 44 is divided by y(i)? 21 Let t(s) = s**3 + 11*s**2 + 8*s - 5. Let p be t(-9). Calculate the remainder when 6 is divided by (-1)/4 + p/20. 2 Let o(d) = 3*d**2 - 2. Let a be -1*(1 - 0) + -1. What is the remainder when 29 is divided by o(a)? 9 Let s be (2 + -1)/((-3)/267). Let g = -54 - s. Calculate the remainder when g is divided by 9. 8 Let d be -2*((1 - 2) + -1). Suppose -d*j + 69 = -j. Calculate the remainder when j is divided by 12. 11 Calculate the remainder when (-2)/(-18)*3 + (-231)/(-9) is divided by 15. 11 What is the remainder when 0 - -81 - 70/14 is divided by 13? 11 Let v be -3*1/3*1. What is the remainder when (-12 - v)/((-1)/2) is divided by 5? 2 Let m = 0 - -5. Suppose m*d - 4*d = 10. What is the remainder when d is divided by 6? 4 Suppose 37 = 4*f - 3*x + 4*x, -5*f + 3*x = -42. Let q = 13 - f. Calculate the remainder when 5 is divided by q. 1 Let r(k) = 2*k + 17. What is the remainder when 64 is divided by r(0)? 13 Suppose -g + 57 = 2*g. Calculate the remainder when g is divided by (-58)/(-8) + 1/(-4). 5 Suppose 4*l = 4*i + 96, 13 = 3*l + 4*i - 24. Calculate the remainder when l is divided by 7. 5 Suppose 0 = h - k - 1, -2*h + 3*k + 3 + 0 = 0. Suppose -2*j + 4*j - 12 = h. What is the remainder when j is divided by 4? 2 Let a = 27 + 5. What is the remainder when 93 is divided by a? 29 Suppose l = 4 + 8. Calculate the remainder when 20 is divided by l. 8 Let b = 1 + 11. Let g(i) be the third derivative of i**6/40 + i**5/15 - i**4/8 + i**3/6 - 4*i**2. Calculate the remainder when g(2) is divided by b. 11 Let s = 47 + -29. What is the remainder when s is divided by 10? 8 Let t = -47 - -48. Suppose -4*y = -3*y - i + 5, 0 = -4*y + 3*i - 24. What is the remainder when (-4)/(-18) + (-7)/y is divided by t? 0 Suppose 41 - 1 = 2*s. Suppose -d = -8 - s. Suppose -2*f + 0*f = -d. What is the remainder when 26 is divided by f? 12 Suppose -5*w = -10, m + 0*m + 2*w = 15. Calculate the remainder when 32 is divided by m. 10 Let c = -7 - -9. Suppose 0 = c*s - 1 - 9, -k - 5*s + 27 = 0. Suppose 6*q - 20 = k*q. Calculate the remainder when 19 is divided by q. 4 Let o(y) = -y -
{ "pile_set_name": "DM Mathematics" }
t replacement from xzxxzxzvzjxzxccx. What is prob of picking 1 j and 3 x? 1/52 What is prob of picking 2 g and 2 m when four letters picked without replacement from mmggmggmmggmmmggmgg? 135/323 Calculate prob of picking 4 t when four letters picked without replacement from {z: 12, t: 5, s: 1}. 1/612 What is prob of picking 1 q, 1 g, 1 e, and 1 z when four letters picked without replacement from {e: 4, z: 3, g: 4, q: 1, b: 1}? 48/715 Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {o: 8, n: 3}. 8/55 Calculate prob of picking 2 h, 1 i, and 1 k when four letters picked without replacement from khhkkkihkhhhffhkkk. 14/255 Three letters picked without replacement from {m: 8, h: 2, d: 2, i: 1, w: 2, q: 4}. Give prob of picking 1 d and 2 w. 2/969 Three letters picked without replacement from lllww. Give prob of picking 3 w. 0 Calculate prob of picking 1 h and 1 z when two letters picked without replacement from huthtgzssttttstss. 1/68 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jneeejijjee. 4/55 Three letters picked without replacement from {g: 2, v: 4, b: 8}. What is prob of picking 1 b and 2 g? 2/91 Two letters picked without replacement from {a: 12, v: 6}. What is prob of picking 2 v? 5/51 Calculate prob of picking 2 r when two letters picked without replacement from {r: 14, a: 4}. 91/153 Two letters picked without replacement from jrrjrrrjjjjjr. Give prob of picking 2 j. 7/26 What is prob of picking 1 r and 1 n when two letters picked without replacement from kvrkkknck? 1/36 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from qliyyqoyy. 1/9 Two letters picked without replacement from ohouh. Give prob of picking 1 o and 1 h. 2/5 Four letters picked without replacement from {o: 1, n: 2, x: 3, y: 2, t: 3, q: 1}. What is prob of picking 3 o and 1 q? 0 Three letters picked without replacement from {l: 1, u: 2, h: 5, m: 1, j: 1}. Give prob of picking 1 l and 2 h. 1/12 Two letters picked without replacement from {b: 2, s: 1, j: 2, i: 1}. What is prob of picking 1 s and 1 b? 2/15 Calculate prob of picking 3 d when three letters picked without replacement from iidi. 0 What is prob of picking 1 x, 1 h, and 1 i when three letters picked without replacement from ppxptnphntphnhtipn? 1/272 Two letters picked without replacement from dddxddddxdddxdd. Give prob of picking 1 x and 1 d. 12/35 Calculate prob of picking 1 j, 2 w, and 1 r when four letters picked without replacement from jwntwrw. 3/35 Three letters picked without replacement from lttlltx. What is prob of picking 3 t? 1/35 Three letters picked without replacement from ooninxxnnnonnzon. What is prob of picking 1 x, 1 i, and 1 z? 1/280 Calculate prob of picking 3 n when three letters picked without replacement from {z: 1, l: 3, j: 2, n: 6, d: 6}. 5/204 Four letters picked without replacement from oomhhoommbmombmobb. Give prob of picking 1 m and 3 o. 2/51 Three letters picked without replacement from {f: 2, k: 1, u: 3, c: 1, i: 3, t: 1}. What is prob of picking 1 f, 1 i, and 1 k? 2/55 What is prob of picking 3 e when three letters picked without replacement from {e: 6, d: 6}? 1/11 Calculate prob of picking 1 r and 1 n when two letters picked without replacement from hhnnnnnrhnnnrnn. 4/21 What is prob of picking 2 d when two letters picked without replacement from djjjddjddddddddddd? 91/153 Two letters picked without replacement from xfbac. Give prob of picking 1 a and 1 f. 1/10 Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {i: 12, b: 3}. 12/35 What is prob of picking 1 u and 1 d when two letters picked without replacement from ddhdhhufhhdhh? 2/39 Two letters picked without replacement from qpiqbqpiqqqbi. Give prob of picking 1 b and 1 q. 2/13 Three letters picked without replacement from rrr. Give prob of picking 3 r. 1 Two letters picked without replacement from vvvvvvvvv. What is prob of picking 2 v? 1 Calculate prob of picking 1 h and 3 a when four letters picked without replacement from hahaq. 0 Four letters picked without replacement from {i: 9, g: 11}. What is prob of picking 4 i? 42/1615 What is prob of picking 1 f and 1 u when two letters picked without replacement from fgggvguuguvggv? 3/91 Three letters picked without replacement from zzppp. Give prob of picking 1 p and 2 z. 3/10 What is prob of picking 1 w and 3 r when four letters picked without replacement from wwrwwrwrrrrrwwrrrrww? 99/323 Calculate prob of picking 2 y and 1 n when three letters picked without replacement from {y: 3, n: 5}. 15/56 Calculate prob of picking 1 k and 2 p when three letters picked without replacement from {p: 3, k: 8}. 8/55 Two letters picked without replacement from {e: 3, p: 4}. Give prob of picking 1 p and 1 e. 4/7 Four letters picked without replacement from vjjxccccsaas. Give prob of picking 1 s, 1 x, 1 a, and 1 v. 4/495 Four letters picked without replacement from {e: 6, b: 2}. Give prob of picking 2 b and 2 e. 3/14 Two letters picked without replacement from eeyeeeeeeeeee. What is prob of picking 1 y and 1 e? 2/13 Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 1, b: 2, u: 1, g: 2, r: 4, v: 7}. 7/136 Two letters picked without replacement from {g: 1, x: 3}. What is prob of picking 2 x? 1/2 Two letters picked without replacement from tttkckuckg. What is prob of picking 1 t and 1 k? 1/5 Three letters picked without replacement from {n: 11, u: 6, z: 1}. Give prob of picking 1 u, 1 z, and 1 n. 11/136 Three letters picked without replacement from {c: 1, m: 2, q: 2, g: 6}. Give prob of picking 1 g and 2 m. 2/55 Four letters picked without replacement from zmmmmjzmmmzzzz. What is prob of picking 3 z and 1 m? 20/143 Two letters picked without replacement from hhbhhqbjjkhks. What is prob of picking 2 h? 5/39 Four letters picked without replacement from {n: 7, b: 4}. Give prob of picking 3 n and 1 b. 14/33 Calculate prob of picking 2 m when two letters picked without replacement from mmumuummuuummumuuuum. 18/95 Two letters picked without replacement from urruruurulruuuuruu. Give prob of picking 1 u and 1 l. 11/153 Four letters picked without replacement from xoxllikkllxnxlxx. Give prob of picking 1 n, 1 k, 1 x, and 1 l. 3/91 Calculate prob of picking 1 v and 2 a when three letters picked without replacement from vqvavaaavvqmaaaavv. 49/204 What is prob of picking 1 k, 1 q, and 1 v when three letters picked without replacement from mpmkskvqq? 1/21 Two letters picked without replacement from {n: 4, u: 6}. Give prob of picking 2 u. 1/3 Two letters picked without replacement from lslss. What is prob of picking 2 l? 1/10 Three letters picked without replacement from zokmbbemmobzo. Give prob of picking 1 z and 2 b. 3/143 Four letters picked without replacement from {o: 2, m: 3, v: 4, s: 2}. Give prob of picking 3 m and 1 o. 1/165 What is prob of picking 1 k and 1 x when two letters picked without replacement from {n: 6, i: 2, k: 1, x: 2}? 2/55 Calculate prob of picking 2 e when two letters picked without replacement from lzmmmlzeezmmmmmlz. 1/136 What is prob of picking 4 n when four letters picked without replacement from qnyyy? 0 Two letters picked without replacement from {v: 3, g: 1}. What is prob of picking 1 g and 1 v? 1/2 Three letters picked without replacement from imgmggmggiggggiggg. What is prob of picking 1 g and 2 m? 3/68 Two letters picked without replacement from {m: 5, u: 4, i: 8, a: 2}. Give prob of picking 2 m. 10/171 What is prob of picking 1 e, 2 p, and 1 d when four letters picked without replacement from {d: 5, e: 2, p: 2}? 5/63 Three letters picked without replacement from {t: 1, s: 1, y: 5, o: 2, v: 5, p: 1}. What is prob of picking 1 t, 1 v, and 1 o? 2/91 Three letters picked without replacement from {w: 1, k: 1, d: 6, n: 3, j: 1}. Give prob of picking 2 n and 1 d. 9/110 Calculate prob of picking 1 u, 1 k, and 1 w when three letters picked without replacement from ruwwjkw. 3/35 What is prob of picking 3 e when three letters picked without replacement from eeeepeeppepeepeppee? 220/969 What is prob of picking 3 u when three letters picked without replacement from uuununonoununuuuuuu? 220/969 Calcula
{ "pile_set_name": "DM Mathematics" }
+ 22*n with respect to n. 36*n**3 - 2 Let u be (30/9)/((-6)/(-9)). Suppose u = 4*k - 31. What is the first derivative of -32 + 13 + 20*p + k wrt p? 20 Let d(v) be the second derivative of -1/42*v**7 + 1/6*v**3 + 9/20*v**5 - 3*v - 3*v**4 + 5 + 0*v**2 + 0*v**6. What is the third derivative of d(h) wrt h? -60*h**2 + 54 Let f(q) be the third derivative of 661*q**6/120 - 31*q**5/60 + 7*q**4/8 + 846*q**2. What is the third derivative of f(m) wrt m? 3966 Let k(m) = -11398*m**4 - 8*m**2 + 4*m + 10265. Let c(b) = 11406*b**4 + 10*b**2 - 5*b - 10266. Let a(p) = 4*c(p) + 5*k(p). Differentiate a(i) wrt i. -45464*i**3 Let m(l) = -l**3 + 20*l**2 - 20*l + 42. Suppose 0 = u - 3 - 16. Let h be m(u). What is the second derivative of -17*v**5 - 2*v**5 + h*v - 3*v**3 + 3*v**3 wrt v? -380*v**3 Suppose -3*v - 15 = -w, 0*v = 3*w - 4*v - 20. Find the first derivative of -71 + 28*l**3 + w*l**3 + 113 wrt l. 84*l**2 Let p(y) be the third derivative of 1642*y**7/105 + 5455*y**4/24 - 8*y**2 - 14. What is the second derivative of p(t) wrt t? 39408*t**2 Let m(o) = -o**3 - 7*o**2 - 16*o - 26. Let x be m(-5). Find the third derivative of q**3 + 48*q**2 + 105*q**x - 53*q**4 - 7*q**5 - 52*q**4 wrt q. -420*q**2 + 6 Let u be (-15)/6*(-8)/10. Suppose 5*z - 9 = 2*n + 2*n, -16 = -4*n. Find the second derivative of -4 + 16 - 12 + z*b - 15*b**u wrt b. -30 Suppose -64 = 5*l + 6. Let y = -14 - l. Find the second derivative of 10*t - 11*t**2 + t + y*t wrt t. -22 Find the second derivative of 2001*w - 35*w**2 + 569*w**2 - 167*w**2 - 183*w**2 wrt w. 368 Let g(u) = -30*u - 6. Let y be g(-2). What is the derivative of 54*k**4 + 25 + y - 8 + 37*k**4 wrt k? 364*k**3 Let a(u) be the second derivative of -17*u**7/6 - 2*u**6/15 + u**4/12 - 29*u**3/2 - u**2/2 - 21*u + 96. Find the second derivative of a(b) wrt b. -2380*b**3 - 48*b**2 + 2 Let n = 209 + -208. Let d(l) = -2*l - 5. Let i be d(-4). Differentiate -37*z**i + 15*z**3 - z**2 - n + z**2 with respect to z. -66*z**2 Let p(j) be the third derivative of 64*j**7/35 - 421*j**4/8 - 6*j**2 - 23. What is the second derivative of p(a) wrt a? 4608*a**2 Let g(f) = 56*f + 37. Let i be g(-8). Let a be 1*4/(-10) - i/15. What is the third derivative of a*w**3 - 58*w**3 + 9*w**4 + 30*w**3 + 20*w**2 wrt w? 216*w - 6 Let d(m) be the first derivative of -191/6*m**6 + 0*m - 42*m**2 - 147 + 0*m**3 + 0*m**5 + 0*m**4. What is the second derivative of d(z) wrt z? -3820*z**3 Let p(b) be the third derivative of 493*b**6/24 + 4627*b**3/3 + b**2 - 133*b + 6. What is the first derivative of p(t) wrt t? 7395*t**2 Let c = 279 + -274. What is the second derivative of -8*o - 1 + 28*o - 11*o - 9 + c*o**2 - 5*o wrt o? 10 Find the second derivative of -7 + 5*a**5 + 3*a**4 + 128 - 996*a**5 - 3*a**4 + 3*a wrt a. -19820*a**3 Let u(s) be the second derivative of -59/20*s**5 - 11*s - 5 + 0*s**2 - 4/3*s**3 + 0*s**4. Find the second derivative of u(k) wrt k. -354*k Let g(b) = 1070*b**3 + 4*b**2 + 8*b + 9931. Let c(f) = -19*f**3 + f**2 + 2*f - 1. Let d(x) = -4*c(x) + g(x). Find the first derivative of d(t) wrt t. 3438*t**2 Let s(l) be the second derivative of 3587*l**7/42 + 65*l**3/3 - 11*l**2/2 + 1341*l. Find the second derivative of s(o) wrt o. 71740*o**3 Let c(i) = -4122*i + 5159. Let g(h) = -2060*h + 2608. Let u(n) = 6*c(n) - 14*g(n). What is the derivative of u(z) wrt z? 4108 What is the third derivative of -139 + 3057*v**3 - 105 + v**2 - 355 + 5172*v**3 + 2*v wrt v? 49374 Let g(v) be the first derivative of -21*v**4 + v**2/2 - 51*v - 216. Differentiate g(f) wrt f. -252*f**2 + 1 Let v(u) = 358*u**2 - 6*u - 1450. Let p(z) = -536*z**2 + 9*z + 2169. Let j(r) = 5*p(r) + 7*v(r). What is the first derivative of j(b) wrt b? -348*b + 3 Find the third derivative of -123*x + 167*x**4 + 460*x**2 + 191*x**2 + 235*x**2 + 2*x**5 + 123*x wrt x. 120*x**2 + 4008*x Let p(m) be the first derivative of -33/2*m**2 - 1/3*m**6 + 0*m**4 + 0*m + 11 + 0*m**5 - 2*m**3. Find the second derivative of p(l) wrt l. -40*l**3 - 12 Let x be 14/56 + 54/8. Suppose 9*z - x*z + 16 = 3*j, -9 = 3*j + 3*z. Differentiate -28*v**2 + 15*v**2 + 3*v**j + 25 with respect to v. -20*v Let g(o) be the first derivative of 1319*o**2 + 3066*o + 1610. What is the derivative of g(f) wrt f? 2638 Let l(y) be the first derivative of 865*y**4 + 908*y**3 + 1668. Find the third derivative of l(j) wrt j. 20760 Suppose 3*g + 4*z - 17 = 0, -3*g + 4*z + 4 = g. What is the third derivative of 19*r**5 - 269*r**2 + 322*r**2 - 3*r**3 + g*r**3 wrt r? 1140*r**2 Let x(l) be the first derivative of 4340*l**3/3 + 2192*l - 5664. Differentiate x(i) with respect to i. 8680*i Suppose 4*a - 4*n - 301 = -57, n - 191 = -3*a. Let s = a + -53. Find the second derivative of -16*w**3 + s*w + 9*w**3 - 6*w**3 wrt w. -78*w What is the first derivative of 10 + 256*q + 42 + 26 + 16 wrt q? 256 Let i(v) = 3749*v + 16. Let g be i(1). What is the second derivative of 3833*k**3 - g*k**3 - 6 + 3 + 10*k wrt k? 408*k Suppose 0 = -8*h - 0 + 32. Find the third derivative of -314*w**6 + 113*w**6 + 7*w**2 - h - 83*w**2 + 5 wrt w. -24120*w**3 Let l(g) be the third derivative of 16/105*g**7 + 0*g**5 + 0 + 0*g**6 + 0*g**4 - 2*g - 47*g**2 + 49/6*g**3. Differentiate l(d) with respect to d. 128*d**3 Suppose -3*l + 74 = 2*o, 0 = -3*l + 6*l - 5*o - 67. Find the second derivative of l*a + 3*a**4 + 1397*a**2 + 42*a + 25*a**5 - 1397*a**2 wrt a. 500*a**3 + 36*a**2 Let l be -2*(-6)/(-12)*(-51)/1. Let g = -15 + l. Differentiate 109*d - 31*d - 20 - 19*d - g*d wrt d. 23 Let n(s) = -s**3 - 4*s**2 + 7. Let m be n(-4). What is the third derivative of -4*j**4 + m*j**4 - 1 + 39*j**3 + 2 - 32*j**2 - 37*j**3 wrt j? 72*j + 12 Let x(n) = 21*n**3 - 11*n**3 + 74*n + 22*n**3 - 2. Let j(f) = -31*f**3 - 73*f + 3. Let k(m) = -2*j(m) - 3*x(m). Find the second derivative of k(g) wrt g. -204*g Let t(n) be the first derivative of -n**6/6 - 56*n**5 - 28*n**3/3 + 25*n**2/2 - 1860. Find the third derivative of t(a) wrt a. -60*a**2 - 6720*a Let g(d) = d**4 - 3*d - 3. Let h(b) = 221*b**4 - 1315*b - 12. Let n(k) = 4*g(k) - h(k). Find the second derivative of n(j) wrt j. -2604*j**2 Let j(m) be the third derivative of -63*m**2 + 0 + 1/6*m**4 - 103/6*m**3 + 0*m + 4/15*m**5. What is the derivative of j(p) wrt p? 32*p + 4 Differentiate 1159 - 656*g + 34*g - 392*g - 5752 - 3989 with respect to g. -1014 Let u(k) be the first derivative of k**4/4 - 55*k**2/2 - 4111*k + 4043. What is the derivative of u(p) wrt p? 3*p**2 - 55 Let z(g) = -g**3 + g**2 + 3*g - 1. Let c(k) = 20*k**3 + 5*k**2 - 431*k + 1. Let l(a) = -c(a) - z(a). What is the second derivative of l(b) wrt b? -114*b - 12 Let s(f) = 6222*f**2 - 4227. Let q(r) = -12446*r**2 + 8454. Let d(c) = 2*q(c) + 5*s(c). What is the derivative of d(u) wrt u? 12436*u Let a = -57 - -58. Let i(c) = -c**2 - 1. Let g(n) = -88*n**2 + 16. Let o(y) = a*g(y) - 2*i(y). What is the derivative of o(f) wrt f? -172*f Suppose d = 3*k - 14, 5*k - 2*d = -3*d + 18. Suppose k = -4*a, -5*c + 3 = 5*a - 2. Find the third derivative of -56*p**c - 2*p**4 + 24*p**2 + p**4 wrt p. -24*p Let v(t) = -4845*t - 2960. Let f(y) = -2416*y - 1479. Let w(p) = -7*f(p) + 3*v(p). What is the derivative of w(g) wrt g? 2377 Let w(g) be the second derivative of 3*g**5/20 - 55*g**3/2 + 2409*g**2/2 - 2447*g. Differentiate w(d) with respect to d. 9*d**2 - 165 What is the second derivative of -2353*q + 38*q**3 - 1577*q + 1368*q - 85*q**2 - 1135*q + 12*q**2 wrt q? 228*q - 146 Let t be ((-3 + 4)*(-5)/(-3))/((-73)/(-219)). Suppose -4*o + 2 = -3*o. Find the third derivative of -t*x**o + 27*x**2 - 7*x**3 - 3*x**3 + 23*x**2 wrt x. -60 Suppose -g = -2*z + 1 + 1, -2*z - 2*g + 14 = 0. Find the first derivative of -2*f - 39 - 49 - 9*f**z - 4 wrt f. -27*f**2 - 2 Let z(j) be the first derivative of -1/2*j**2 - 22 + 0*j**3 + j - 83/4*j**4. What is the second derivative of z(h) wrt h? -498*h What is the second derivative of -9699*h + 1520*h**2 - 5*h**2 + 3242*h + 4328*h wrt h? 3030 Let t(v) be the first derivative of 4367*v**6/6 + 70*v**3/3 + 9*v**2/2 - 9648. Find the third derivative of t(s) wrt s. 262020*s**2 Let y(u) = u**3 + 8*u**2 - 11*u - 17. Let h be y(-9). Let t be 2*h/(-7) + 51/7. Find the second derivative of 4*o**2 - 4*o**2 - 31*o - t*o**3 wrt o. -42*o Find the third derivative of -32*z + 6*z**2 + 2*z**2 + 69*z + 0*z**6 - 16*z -
{ "pile_set_name": "DM Mathematics" }
= -b - 2*j, -v*j - j + 17 = -5*b for b. -5 Let y = -275 + 279. Let a = 27 + -24. Solve 5*b = 20, 0 = -4*i + a*b - 0*b + y for i. 4 Let n(z) = -z**3 + 7*z**2 + 19*z - 6. Suppose 0 = 14*s - 0*s - 126. Let k be n(s). Solve 4*g - k*l = 9, -g - l + 4 = -0*l for g. 3 Suppose 6*i - 35 = -5*j, 100*j = 4*i + 101*j - 21. Solve 0 = -i*w - 3*v + 8 + 14, w + 10 = 3*v for w. 2 Suppose t = 5*t, 4*g - 24 = -12*t + 8*t. Solve 0 = -4*l - 5*h + 6, 99*l + g = 97*l + 2*h for l. -1 Suppose p + 4*f = 5, 3*f + 15 = -4*p + 7*p. Solve 0 = 3*u + 5*n - 23, -3 + p = -2*u + n for u. 1 Suppose -5*q - 53 = -3*n, 208*n + 2 = 213*n + 4*q. Solve 3*j + n*d = 9*d - 6, -5 = -d for j. 3 Let g(d) be the third derivative of d**6/120 - 7*d**5/60 + d**4/24 - d**3/2 - 36*d**2. Let t be g(7). Solve -t*n - v = -14, -v + 4 = v for n. 3 Let o be (-9 - (-882)/72)*(-4)/(-1). Solve 3*r - q = 12, -2*r - 9*q = -o*q - 18 for r. 3 Suppose 684*c - 10 = 679*c. Let n be 2/(-4)*-8 + -10. Let p(z) = z**2 + 7*z + 9. Let b be p(n). Solve b*u - 10 = c*u - 3*m, 15 = -u + 2*m for u. -5 Let u = 399 - 189. Let j = -208 + u. Solve -j*y + 3*i - i = -2, -5*y - 31 = 4*i for y. -3 Let f(a) = 2*a - 7. Let h be f(-10). Let l be (-65)/(-2) + (-1)/(-2). Let b = h + l. Solve 5*s - b = 4*i, -5*s - 6 = 2*i + 12 for s. -2 Let v be (-1925)/(-231)*9/15. Solve 25*t - v*r = 20*t + 40, 2*r = -8 for t. 4 Let m be 104/(-195)*-5*6/4. Solve 0 = 2*o + 4*n + 4, 5*n + 3 = -m*o - 5 for o. -2 Let h = -1960 + 1965. Solve -4*g - r + 9 = 0, r - 10 = -h*g + 2 for g. 3 Suppose 0 = 3*v - f - 202, 3*f + 70 = 3*v - 2*v. Let l(a) = a**2 - 28*a + 223. Let q be l(20). Let h = v - q. Solve 3*s + 4*r - 16 = 3, s - h*r - 1 = 0 for s. 5 Suppose 15*k + 55*k = -6*k. Solve 3*m - w = 7, k = -41*m + 36*m + w + 13 for m. 3 Let s = 862 - 862. Let i = 35 + -23. Suppose s = -3*z + 2*z + i. Solve -2*l - 15 = -5*j, 2*l - 4*j = -2*j - z for l. -5 Suppose 4*u = a + 19, 0 = 5*u - 5*a - 13 - 22. Solve f + 23 = u*g, -g - 3*g - f + 17 = 0 for g. 5 Let l(v) = -v**2 - 2*v + 9. Let d(r) = 0 + 22*r - 4*r**2 - 1 - 24*r. Let b be d(-1). Let o be l(b). Solve -3*t - 3*h = 3 + o, 3*t = -4*h - 13 for t. 1 Suppose 2*v + 5*c - 10 = 30, 0 = 3*v - 3*c - 39. Let y be 6/v*5 - (-2 + -1). Solve -2*s + y = 5*a, -a + 0*a + 8 = -s for s. -5 Suppose 14*x = -15*x + 6148. Let s = -210 + x. Solve -5*q = -2*o + 9 + 1, -2*o + q + s = 0 for o. 0 Let j be 5/(-3) - (-6 + (-7490)/21). Let c = 365 - j. Solve -t - c = -0*t - l, 2*t = 5*l - 5 for t. -5 Suppose -2730 = -187*h - 4*h - 264*h. Solve -3*l + r - h*r = 17, 0 = 5*l + 3*r + 7 for l. 1 Let p be (138/15)/2 + (-84)/140. Suppose 9*k = p*k - 4*k. Solve 4*j = 3*g + 6, 3*g - 3*j + 3 = -k*j for g. 2 Suppose -26*l = -40*l - 3780. Let r be 12/((l/12)/(-15)). Solve -4*w - r = 4*u + w, -2*w = 8 for u. 3 Suppose -8*t + 125 = 3*t - 84. Solve 0 = -3*d - 5*b + t, 4 + 3 = -d + 5*b for d. 3 Suppose -45 = 436*t - 45. Solve l - h - 4 = t, h + 3*h = -3*l - 2 for l. 2 Suppose -39 = -19*w - 1. Solve -3*b - w*o = 5, 2*b - o = -0*b - 8 for b. -3 Let l(w) = 32*w + 7. Suppose -4*u - 5*d + 1 = -11, -5*u = 3*d - 2. Let s be l(u). Let r = 57 + s. Solve r = -5*o - 4*t + 16, 5*t + 3 = 23 for o. 0 Let t(a) = -a**2 + 15*a - 11. Let c be t(13). Let w(z) = -2*z**2 + 30*z + 4. Let p be w(c). Solve 0 = 5*y + 20, y + 12 = -p*g - 2*y for g. 0 Let m = 86 + -190. Let h = 107 + m. Solve -3*k + f = -3*f, -h*k = 3*f - 21 for k. 4 Let t(h) = -15*h - 195. Let n be t(-13). Solve 0 = -c - 4*w - 7 + 21, n = 3*c - 2*w for c. 2 Suppose 0 = -13*l - 8*l - 525. Let g = l - -28. Solve -4*b = 3*v - 15, 5*v - 5 = b - g for b. 3 Let d be (-8)/(-7)*245/70. Solve f + t = -d*f - 22, 5*f - 4*t = -12 for f. -4 Let i be 0*(3 + (2 - 5 - (-3 - -2))). Solve 3*k - 8 = -i*k + 5*q, -32 = 5*k + 3*q for k. -4 Let x = 12522 + -12519. Solve x*v + 2*v + 25 = 0, -5*v = -3*l + 34 for l. 3 Let l be 372/48 - 22/8. Solve -3*q - y + 3 + 12 = 0, l*q - 17 = y for q. 4 Let o be 17 + -14 + -8 + 10. Solve a - o*a - 10 = 2*z, 2*a - 4*z = 0 for a. -2 Let o(k) = -k**3 + 6*k**2 + 2*k - 5. Let x be o(6). Suppose -102 = -5*a - x. Suppose -a = -5*j - 9. Solve 5*q = 2*h - 9 + j, -3*q + 2*h - 1 = 0 for q. -3 Suppose -31*o = -5*v - 33*o + 163, -v - 2*o = -39. Suppose -5*b - 4 = g, 26*g - v*g - 20 = -b. Solve 0 = 5*n - n + t - 9, b = n + 3*t - 16 for n. 1 Let x = -384 + 111. Let g = 277 + x. Solve -b + 0*j = -j - g, 0 = -5*b - 2*j + 6 for b. 2 Let y(z) = z**3 + 24*z**2 - 30*z - 122. Let p be y(-25). Suppose -o + 4*o = -p*o. Solve -5*h + o*t + 2 = -4*t, t + 3 = 0 for h. -2 Let y = 41312 + -41283. Solve -m + 4*z = 14 - y, 5*m - z = -1 for m. -1 Suppose 434*a - 425*a = 0. Solve 5*z + a*z + g - 1 = 0, -17 = -z - 3*g for z. -1 Suppose -5*s - 3*a + 22 = -7, -5*a + 3 = -3*s. Suppose s*v + 5*n = 75, v + 32*n - 18 = 30*n. Solve 0*w + v = -4*w - 4*d, 5 = -5*d for w. -4 Let t(x) = 3*x + 19. Let n(o) = 3*o + 18. Let q(a) = 2*n(a) - 3*t(a). Let v be 324/(-42) - 2/7. Let h be q(v). Solve 5*d - 2 - 2 = h*j, 13 = -4*j - d for j. -3 Let f = 149 + -151. Let x(a) = -23*a - 39. Let b be x(f). Solve 2*z + 0*r - b = r, -z + 7 = -4*r for z. 3 Let x = 29 + -24. Suppose -4*w + 37 = 5*h - 4, 4*w + 4 = 4*h. Solve -5*l - 4*d + 5 = d, h*l - 2*d - x = 0 for l. 1 Suppose 3*m + 5*m = 40. Let i be ((-95)/(-20) - m) + 26/8. Solve -3*a - 4*p + 20 = 0, -5*a - i*p = -p - 10 for a. 0 Suppose -4*w + 24 = 4*u, 28*u + 3*w = 32*u - 24. Solve -5*b = -2*g + 18, -u*b + 5*b - 2*g + 6 = 0 for b. -2 Let l(v) = -5*v + 53. Let p be l(10). Solve -3*r + 7 = -2*u, p*u - 16 = -5*r + 2*u for r. 3 Let v be (-12190)/159*48/10. Let h = 368 + v. Solve h = -4*n - r - 10, 2*n + 2*r = -3*n - 14 for n. -2 Suppose -19 + 17 = 4*z - 3*k, -k = -3*z + 6. Solve -2*r = -4*j - z*r + 10, -2 = -j - r for j. 3 Let z(d) = 7*d - 17. Let g be z(6). Let h = g - 21. Suppose -5*o = -3*o - h. Solve 4*k = b + 25, 3*k + b = -o*b for k. 5 Suppose -12*q + 120 = 39*q - 11*q. Solve -14*c + 12*c - 4*b = -8, -q*b = -3 for c. 2 Let q be (2/(-19) - (-262)/(-38))*8/(-28). Solve -q*n = 0, h - 21*n - 2 = -23*n for h. 2 Let o = -2273 + 2277. Solve -c - o = 0, 4*w - 2*c - 23 - 5 = 0 for w. 5 Let u be (-595)/(-187) - 3*6/99. Suppose 0 = -u*y + f, 15*y - 2*f = 12*y. Solve -2*w = 3*d + 21, 4*w + 9 + 3 = y for d. -5 Suppose -12*s = -41*s + 116. Solve b = 2*c, s*b = c - 2 - 12 for c. -2 Suppose 6*p - 3*p = -45. Let m be (25/p)/((-1)/3). Let d be ((-6)/4)/((-3)/8). Solve -d*l + 0*j - 4*j = 8, l - m*j = 10 for l. 0 Let x(q) = -30*q + 185. Suppose 0 = -8*b + 49 - 1. Let c be x(b). Solve -48 + 15 = -5*m + 2*j, c*j = -m - 15 for m. 5 Suppose 10*l = 16*l - 30. Suppose l*n - 5 = 5*d, -5*d - 4*n + 3*n = -19. Solve 3*o - 4*o - d*q = -2, -4*q + 12 = -o for o. -4 Suppose -5*r - 1136 = 4*u, -586 = -11*u + 13*u - 2*r. Let c = u - -293. Solve c*d = 2*i + 6, -3 = -4*d + 3*i - 2*i for d. 0 Let t be 14*(1 + 3) - 0. Suppose t*i = 34*i. Solve -o = -4*g - i*o + 6, -5*o + 6 = -2*g for g. 2 Let b(o) = 2*o**3 - 36*o**2 + 41*o - 38. Let a be b(18). Suppose 65*n - a = -180. Solve 0*w - n = 4*y + 3*w, 2*w = 0 for y. -2 Let a(v) = 2 + 4*v - 3*v + 11*v + 18*v**2 - 6*v. Let l be a(-1). Let h be l/2 + (-2 - 1). Solve r = h*f - 5*f + 6, 4*f - 2*r - 18 = 0 for f. 5 Suppose -19*y = -291*y + 1088. Solve 8*h - y*p = 9*h + 2, -3*h + 4*p = -10 for h. 2 Let y(u) = -u**3 - 4*u**2 - 7*u. Let k = 30 - 23. Suppose g = -2*q - q - 3, -q + k = 3*g. Let o be y(q). Solve 5*m = -4*n + 9, -7*m - 2*n = -3*m - o for m. 1 Suppose 2*u = -2*j + 10, -5 = -2*u - 0*u + 3*j. Solve 24 = 4*a + 5*l, u*a + 8*l = 5*l + 16 for a. 1 Let m = -165 + 158. Let u be m + 5 - (0 + -5). Solve -4*b = 2*n - 5 - 1, -3*b = -u*n for b. 1 Suppose -3*j - 171 = -5*c, -45 = j + 4*c + 29. Let l be j/(-16) - 6/(-48). Solve 10 = 2*s - 0*a - 2*a, l*s = 2*a + 20 for s. 5 Let v be (-1 + 17)/((-4)/(-6)). Suppose 0 = 3*w + 4*k - 0 - v, 0 = 5*k. Solve w = 4*u - 2*x, -3*u = 2*u - 4*x - 13 for u. 1 Let p = -303 + 306. Solve -4*r + 32*y = 28*y + 4, p = 3*y for r. 0 Let g be (-70)/42*3/(-1). Suppose -2*j = 4*a - 12, g*j = -a - a - 10. Let u be ((2 - a) + 3)/3. Solve -2*r + 3*w - 6 = -u, -3*r = -4*w + 8 for r. 0 Let x be (-32)/(-112) + 24/14 + 0. Solve 5*h + 5*z + 2 + 3 = 0, 2*z = x*h + 18 for h. -5 Suppose -14*b = -21*b + 3108. Let r = b + -432. Solve o - 18 = -4*n, o - 4*n = -o - r for o. 2 Let l be 12 + ((-16)/36)/((-6)/27
{ "pile_set_name": "DM Mathematics" }
. 1 Solve 16*a - 18 + 2 = 0 for a. 1 Solve 7*i + 12 = 5 for i. -1 Solve -22 = 6*p + 5*p for p. -2 Solve -113*u + 137 = 24 for u. 1 Solve 16*w = 11*w - 5 for w. -1 Solve 0 = -13*r + 2 - 54 for r. -4 Solve -10 = -7*v + 2*v for v. 2 Solve 0 = -8*o + 7 - 63 for o. -7 Solve 18*d = 14 - 14 for d. 0 Solve 25 = 30*d - 35*d for d. -5 Solve 0 = 118*h - 132*h + 70 for h. 5 Solve -20 = -227*d + 207*d for d. 1 Solve -28*k - 28 = -21*k for k. -4 Solve 88 = -49*q + 88 for q. 0 Solve -6*r = 2*r - 16 for r. 2 Solve -13 = -h - 18 for h. -5 Solve -223*j - 30 = -218*j for j. -6 Solve -27 + 22 = -y for y. 5 Solve 43*n + 28*n = -426 for n. -6 Solve 22*k + 184 - 8 = 0 for k. -8 Solve -33*m = -35*m - 6 for m. -3 Solve -15*w - 51 = 2*w for w. -3 Solve -26 + 30 = -p for p. -4 Solve 0*i - 6*i = -24 for i. 4 Solve 7 = 8*r - 9 for r. 2 Solve 113*f = 118*f + 20 for f. -4 Solve 80*b = 81*b + 4 for b. -4 Solve -k + 19 = 20 for k. -1 Solve -298 = -4*r - 290 for r. 2 Solve 14*q = 27*q + 26 for q. -2 Solve -13*i + 30 = 2*i for i. 2 Solve -200*i + 197*i = 9 for i. -3 Solve 108 = -43*d + 16*d for d. -4 Solve 5*p = -1 - 9 for p. -2 Solve -52 = -236*i + 223*i for i. 4 Solve 3*m = -18 + 6 for m. -4 Solve 0 = 163*h - 152*h + 11 for h. -1 Solve 19*q + 97 = 40 for q. -3 Solve 11*p - 11 = -0*p for p. 1 Solve 18*q + 27 = -9 for q. -2 Solve -26*s + 81*s = 275 for s. 5 Solve 31 = -w + 34 for w. 3 Solve -58*i + 49*i = 18 for i. -2 Solve 0 = 29*g - 124 - 50 for g. 6 Solve -110*q = -126*q + 16 for q. 1 Solve -5*z + 13 = -2 for z. 3 Solve 0 = -9*n - 13*n + 22 for n. 1 Solve -80*d + 117*d + 296 = 0 for d. -8 Solve -21*i + 19*i = 6 for i. -3 Solve -q = -5 + 4 for q. 1 Solve 34 = 5*l + 19 for l. 3 Solve -9*f - 16 = -5*f for f. -4 Solve -300*x + 306*x = -24 for x. -4 Solve -45*f = -35*f + 70 for f. -7 Solve 7*f - 13 = -6 for f. 1 Solve -32*h = -38*h - 6 for h. -1 Solve 0 = 2*f + 32 - 34 for f. 1 Solve -7*t = -264 + 229 for t. 5 Solve -87*c + 86*c = -3 for c. 3 Solve -72 = 44*z - 32*z for z. -6 Solve 0 = -177*s + 156*s - 21 for s. -1 Solve 12*f = 3*f - 36 for f. -4 Solve 142 = 21*x - 5 for x. 7 Solve -574*z = -567*z + 56 for z. -8 Solve 75 = -4*n + 19*n for n. 5 Solve 0 = 209*c - 207*c - 4 for c. 2 Solve 0 = -4*y + 38 - 22 for y. 4 Solve 7*t + 0*t = -21 for t. -3 Solve -2*k - 18 = -20*k for k. 1 Solve 690 = -99*v - 102 for v. -8 Solve -2*p - 19*p = -63 for p. 3 Solve 3*b - 33 = -8*b for b. 3 Solve 5 + 15 = 20*a for a. 1 Solve -62*h = -442 + 8 for h. 7 Solve 98 = 10*b + 168 for b. -7 Solve 12*s + 15 = 7*s for s. -3 Solve 23*z = 31*z + 40 for z. -5 Solve -29 = 18*t + 43 for t. -4 Solve 24*p = 43 + 29 for p. 3 Solve 8*z + 14 = -26 for z. -5 Solve 325 = -16*n + 245 for n. -5 Solve 0 = -g - 58 + 54 for g. -4 Solve -g = -18*g - 51 for g. -3 Solve 32*b = -61 - 163 for b. -7 Solve d = 67 - 68 for d. -1 Solve -12*d + 18*d + 24 = 0 for d. -4 Solve -121*l - 38*l + 1590 = 0 for l. 10 Solve -29*n + 179 - 382 = 0 for n. -7 Solve 0 = 20*c - 271 + 231 for c. 2 Solve 4*t + 40 = 12*t for t. 5 Solve 0 = -3*x - 23 + 8 for x. -5 Solve -18*d = -11 - 61 for d. 4 Solve -57*p + 53*p = 16 for p. -4 Solve -43 = -30*u - 13*u for u. 1 Solve 12*s - 13 = 23 for s. 3 Solve -33*q = 190 - 25 for q. -5 Solve w = -2 + 5 for w. 3 Solve 0 = 294*y - 240*y + 378 for y. -7 Solve -43*t = -42*t - 4 for t. 4 Solve -3*b - 87 + 81 = 0 for b. -2 Solve 0 = 28*h - 25*h + 15 for h. -5 Solve -147*h - 11*h = -948 for h. 6 Solve 223*o + 10 = 228*o for o. 2 Solve 6*q + 8*q = 0 for q. 0 Solve -24*s = 76*s for s. 0 Solve 5*i - 3 = 2*i for i. 1 Solve 334*h = 330*h - 8 for h. -2 Solve 18*m + 7*m = -75 for m. -3 Solve 24*p = 18*p - 20*p for p. 0 Solve -4*t = 21 - 17 for t. -1 Solve -15*t = 38 - 8 for t. -2 Solve 16 = -634*f + 626*f for f. -2 Solve 2 = 100*w - 101*w for w. -2 Solve 13*z = 18*z - 20 for z. 4 Solve 24*h - 12 = 28*h for h. -3 Solve 79 = -2*l + 67 for l. -6 Solve 9*n = 12*n + 3 for n. -1 Solve -51*t + 439 + 20 = 0 for t. 9 Solve 2 = 3*g + 14 for g. -4 Solve -86 = -f - 87 for f. -1 Solve -50 = 16*i + 14 for i. -4 Solve 10 = d + 1 for d. 9 Solve 28*w + 63 = -133 for w. -7 Solve -58*o = -52*o - 12 for o. 2 Solve 136 = 83*s - 196 for s. 4 Solve -4*j + 377 = 393 for j. -4 Solve 43*g + 55 + 31 = 0 for g. -2 Solve -69 = -28*j + 99 for j. 6 Solve 3*k + 16 = 25 for k. 3 Solve -9*o + 19 - 64 = 0 for o. -5 Solve -y = -4*y + 9 for y. 3 Solve -15*g = -238 + 133 for g. 7 Solve -3*u - 2*u + 4*u = 0 for u. 0 Solve 31*n = 6*n + 100 for n. 4 Solve -87 - 13 = -20*p for p. 5 Solve 37 = 32*c + 5 for c. 1 Solve 216 = -20*i + 276 for i. 3 Solve -7*l + l = -18 for l. 3 Solve -8*f - 65 = -97 for f. 4 Solve 3 + 59 = -31*r for r. -2 Solve 13*d - 3*d = 0 for d. 0 Solve 188 = -8*p + 244 for p. 7 Solve -9*h + 379 - 370 = 0 for h. 1 Solve -2700 = -5*l - 2655 for l. 9 Solve 0 = 10*d + 4383 - 4473 for d. 9 Solve 24 = -9*w + 42 for w. 2 Solve -26 + 14 = -4*a for a. 3 Solve 0 = -8*f - 8 - 16 for f. -3 Solve -28*x + 4*x = 96 for x. -4 Solve 273*v + 48 = 285*v for v. 4 Solve -10*t + 4 = -16 for t. 2 Solve 12 = -6*t + 6 for t. -1 Solve 18*k = -4*k for k. 0 Solve 75*p - 30*p = 405 for p. 9 Solve -8*a - 10 + 34 = 0 for a. 3 Solve 7*k + 8 = -34 for k. -6 Solve 4*b - 304 + 264 = 0 for b. 10 Solve -20*g + 45 = -11*g for g. 5 Solve -12*a - 802 = -862 for a. 5 Solve -5*r - 16 = -13*r for r. 2 Solve 4 = -31*s - 58 for s. -2 Solve -29*r - 21*r - 100 = 0 for r. -2 Solve -34 + 4 = -5*m for m. 6 Solve 14*y - 54 = 23*y for y. -6 Solve -22 = 3*l - 34 for l. 4 Solve -31 = -5*t - 26*t for t. 1 Solve 4*v = 5 - 9 for v. -1 Solve -9*d + 0*d + 27 = 0 for d. 3 Solve i + 12*i = -65 for i. -5 Solve 0 = -32*p - 66 + 226 for p. 5 Solve 0 = 41*l - 39*l + 6 for l. -3 Solve 2*y - 10 = -4 for y. 3 Solve 92*s - 106*s = 70 for s. -5 Solve 56*k = -118 + 6 for k. -2 Solve -7*g + 4*g = -3 for g. 1 Solve -9*r - 5*r = -3*r for r. 0 Solve -22 = -6*s + 17*s for s. -2 Solve 0 = -0*j - j + 2 for j. 2 Solve 2 = l - 0*l for l. 2 Solve 0 = 44*i - 39*i - 20 for i. 4 Solve 5*h = 8*h - 6 for h. 2 Solve 0 = -n + 3 - 5 for n. -2 Solve 54*f - 56*f = 8 for f. -4 Solve -2*b = -16 + 28 for b. -6 Solve 3*z - 29 + 20 = 0 for z. 3 Solve -33*n - 5*n = 228 for n. -6 Solve 199*u - 196*u + 15 = 0 for u. -5 Solve -23*x = -18*x for x. 0 Solve 0 = 48*t - 209 - 31 for t. 5 Solve 17*s - 36 = 5*s for s. 3 Solve 12*l = 7*l + 20 for l. 4 Solve -396 + 465 = 23*a for a. 3 Solve 0*i = 8*i - 8 for i. 1 Solve 0 = -5*q + 4 + 11 for q. 3 Solve 0 = 3*s + s + 8 for s. -2 Solve 0 = -361*v + 343*v - 36 for v. -2 Solve -14 = -9*f - 23 for f. -1 Solve -685*k + 676*k - 36 = 0 for k. -4 Solve -205*y + 227*y + 66 = 0 for y. -3 Solve -64*b + 25*b - 117 = 0 for b. -3 Solve 0 = 60*i + 129 - 69 for i. -1 Solve 16 = -4*n + 4 for n. -3 Solve -4*p + 10 = -2*p for p. 5 Solve -13*z + 225 - 173 = 0 for z. 4 Solve 30*a + 6 = 28*a for a. -3 Solve 0 = 24*f + 27 + 69 for f. -4 Solve -47*f - 52 = -34*f for f. -4 Solve 13 = -15*v - 17 for v. -2 Solve 0 = 11*x - 76 + 109 for x. -3 Solve -7 + 23 = -4*i for i. -4 Solve 310 = 54*t + 8*t for t. 5 Solve 3*s + 5*s - 24 = 0 for s. 3 Solve 11*p - 4*p = -35 for p. -5 Solve 8 = 2*j + 18 for j. -5 Solve 20 = -57*f + 77*f for f. 1 Solve 3 = p - 0*p for p. 3 Solve 0 = 8*t + 1 + 7 for t. -1 Solve -83 = 31*m + 134 for m. -7 Solve 62*l = 66*l - 20 for l. 5 Solve -8*g - 3*g = 55 for g. -5 Solve -105*i = 77 + 1078 for i. -11 Solve 3*o = 19 - 10 for o. 3 Solve -3*s = 3 + 9 for s. -4 Solve 3787*r + 90 = 3796*r for r. 10 Solve 12*n = -307 + 307 for n. 0 Solve 12*o + 27 = -81 for o. -9 Solve 0 = 23*a + 79 + 128 for a. -9 Solve -4162 = y - 4164 for y. 2 Solve -12*j = -5*j for j. 0 Solve 85*o = 112*o - 216 for o. 8 Solve 13*p + 0 = 13 for p. 1 Solve -114 + 81 = -11*i for i. 3 Solve 5*u = 3*u for u. 0 Solve 2*d + 25 = -3*d for d. -5 Solve -609*s + 593*s - 176 = 0 for s. -11 Solve 0 = 4*g - 40 + 44 for g. -1 Solve -61*w = -111*w for w. 0 Solve 90*z - 111*z - 84 = 0 for z. -4 Solve -217 = 6*q - 211 for q. -1 Solve 17*k - 125 = -8*k for k. 5 Solve -12*m - 72 = 24*m for m. -2 Solve 10*s + 165 = 105 for s. -6 Solve -301 = -12*r - 31*r for r. 7 Solve -9*d - 8*d = 7*d for d. 0 Solve 32*i = 28*i + 20 for i. 5 Solve -3*o = -13656 + 13674 for o. -6 Solve -11*y - 16*y = 19*y for y. 0 Solve 0 = 61*g - 5*g + 280 for g. -5 Solve 18*n = 217 - 199 for n. 1 Solve -3
{ "pile_set_name": "DM Mathematics" }
+ 50)**2 Find k such that -5*k**2 + 33435*k + 234290 = 0. -7, 6694 Determine c, given that -4*c**3 + 3444*c**2 - 27344*c + 40944 = 0. 2, 6, 853 Determine o, given that 402*o**4 - 2774*o**3/5 - 3272*o**2/5 + 1544*o/5 + 32/5 = 0. -1, -4/201, 2/5, 2 Factor -t**3 - 16597*t**2 + 432029*t - 2809287. -(t - 13)**2*(t + 16623) Determine u so that u**3 - 71786*u**2 + 1288235660*u + 2576758472 = 0. -2, 35894 Solve -4*t**2 - 586524*t/7 - 167576/7 = 0. -20947, -2/7 Solve -15*t**2 + 2349051*t - 939618 = 0 for t. 2/5, 156603 Factor j**2 - 2669*j + 50350. (j - 2650)*(j - 19) Let x**2/3 - 2097*x + 6290/3 = 0. Calculate x. 1, 6290 Solve -t**2/2 + 377*t/2 + 1540 = 0 for t. -8, 385 Factor 96*q**4 + 550344*q**3 + 412722*q**2 + 206355*q/2 + 8598. 3*(q + 5732)*(4*q + 1)**3/2 Find b, given that 3*b**3/7 - 68634*b**2/7 - 549228*b/7 - 823896/7 = 0. -6, -2, 22886 Factor 5*v**3 + 96956*v**2 - 174539*v - 38786. (v - 2)*(v + 19393)*(5*v + 1) Determine r so that -r**2 + 124606*r - 3881663809 = 0. 62303 Factor -2*y**3 + 28856*y**2 + 2*y - 28856. -2*(y - 14428)*(y - 1)*(y + 1) Factor 3*y**2/4 + 347793*y + 40319990283. 3*(y + 231862)**2/4 Factor -5*x**2 + 865*x + 8190. -5*(x - 182)*(x + 9) Factor -2*x**3/25 - 2516904*x**2/25 - 791850718152*x/25. -2*x*(x + 629226)**2/25 Factor -3*o**3 + 28641*o**2. -3*o**2*(o - 9547) Suppose 1086*y**3 + 2086*y**2 + 914*y - 86 = 0. What is y? -1, 43/543 Suppose 2*w**4/3 - 190*w**3/3 - 130*w**2 + 190*w/3 + 388/3 = 0. What is w? -2, -1, 1, 97 Determine a so that -6*a**3 + 884*a**2/9 - 1130*a/9 + 100/3 = 0. 10/27, 1, 15 Factor 5*f**5 + 21295*f**4 - 63915*f**3 + 63925*f**2 - 21310*f. 5*f*(f - 1)**3*(f + 4262) Factor 3*g**2 + 135774*g + 1536214923. 3*(g + 22629)**2 Suppose -14*w**5 - 6550*w**4/3 + 370*w**3/3 + 3010*w**2 - 936*w = 0. Calculate w. -156, -9/7, 0, 1/3, 1 Find n, given that -57*n**2/7 + 2958*n/7 + 312/7 = 0. -2/19, 52 Suppose 5*z**2 - 5305*z + 484800 = 0. What is z? 101, 960 Determine z, given that z**4/3 + 979*z**3/3 + 28439*z**2/3 - 29419*z/3 = 0. -949, -31, 0, 1 Factor -2*d**3/7 + 71980*d**2/7 - 647568064*d/7 - 1295424064/7. -2*(d - 17996)**2*(d + 2)/7 Let p**2 + 302696*p + 22906217104 = 0. Calculate p. -151348 Let -3*m**4 + 189*m**3 + 3561*m**2 + 17955*m + 23226 = 0. What is m? -7, -2, 79 Let 2*u**2 + 17012*u + 36176018 = 0. Calculate u. -4253 Find y, given that y**4/7 + 472*y**3 + 19791*y**2/7 + 1412*y - 32980/7 = 0. -3298, -5, -2, 1 Determine t so that -2*t**4 - 105*t**3 - 1521*t**2 - 5723*t + 3255 = 0. -31, -15, -7, 1/2 Factor 4*v**4 - 9408*v**3 + 6313824*v**2 - 919537920*v + 38212430400. 4*(v - 1086)**2*(v - 90)**2 Factor 3*k**4 - 429*k**3 + 12789*k**2 + 182721*k + 498036. 3*(k - 77)**2*(k + 4)*(k + 7) Factor 3*u**4 - 207*u**3 + 2052*u**2 + 768*u - 43776. 3*(u - 57)*(u - 8)**2*(u + 4) Factor 2*j**4 - 24*j**3 - 160*j**2 + 384*j + 2048. 2*(j - 16)*(j - 4)*(j + 4)**2 Determine i, given that -2*i**3/11 + 1126*i**2/11 - 4478*i/11 + 3354/11 = 0. 1, 3, 559 Let -3*g**2 - 233967*g = 0. What is g? -77989, 0 Solve 1029*l**4 - 5586147*l**3 - 7183323*l**2 - 3078729*l - 439830 = 0. -3/7, 5430 Factor 917*l**2/2 - 229*l/4 + 7/4. (14*l - 1)*(131*l - 7)/4 Factor -5*o**2 + 644585*o + 644590. -5*(o - 128918)*(o + 1) Factor -3*w**2 - 45072*w - 169290432. -3*(w + 7512)**2 Factor -h**4/5 - 588*h**3/5 - 86436*h**2/5. -h**2*(h + 294)**2/5 Factor l**2/4 + 3377*l/2 + 6753/4. (l + 1)*(l + 6753)/4 Determine c so that -c**2/4 - 291203*c/2 - 84799187209/4 = 0. -291203 What is n in -n**2/6 + 395*n + 2373/2 = 0? -3, 2373 Factor g**2/4 - 409*g/4 + 102. (g - 408)*(g - 1)/4 What is u in -186*u**4 - 914*u**3/5 + 4666*u**2/5 - 574*u + 48/5 = 0? -3, 8/465, 1 Solve -n**3/5 + 4*n**2 - 99*n/5 = 0 for n. 0, 9, 11 Suppose -4*w**2 + 7916*w - 31600 = 0. Calculate w. 4, 1975 Factor j**5/6 - 7*j**4/2 - 74088*j**3 + 58622816*j**2/3. j**2*(j - 392)**2*(j + 763)/6 Determine m, given that 92*m**5/5 + 689624*m**4/5 - 749876*m**3/5 - 1319456*m**2/5 + 119952*m/5 = 0. -7497, -1, 0, 2/23, 2 Let -39*t**4/2 + 19314*t**3 - 9573795*t**2/2 + 2205225*t = 0. What is t? 0, 6/13, 495 Find l, given that -12*l**5 - 1017*l**4/2 + 1407*l**3 - 963*l**2/2 - 405*l = 0. -45, -3/8, 0, 1, 2 Find v, given that 3*v**4 - 942*v**3 + 76707*v**2 - 435132*v + 640224 = 0. 3, 152, 156 Factor 12*a**2 + 202*a - 252. 2*(a + 18)*(6*a - 7) Determine g so that 2*g**5/5 + 194*g**4/5 - 812*g**3/5 - 76*g**2 + 2442*g/5 + 1818/5 = 0. -101, -1, 3 Factor 3*s**3/2 + 105*s**2 + 207*s/2. 3*s*(s + 1)*(s + 69)/2 Factor -9*y**3 + 3*y**2 + 81*y - 27. -3*(y - 3)*(y + 3)*(3*y - 1) What is s in -36*s**4 + 69936*s**3 - 162904*s**2 - 163024*s + 69852 = 0? -1, 1/3, 3, 5821/3 Determine f, given that f**4 - 7*f**3 - 92*f**2 - 84*f = 0. -6, -1, 0, 14 Factor -4*n**2 + 5228*n. -4*n*(n - 1307) Determine j, given that -j**4 + 920764*j**3 - 2762286*j**2 + 2762284*j - 920761 = 0. 1, 920761 Let -98*t**5 + 371798*t**4/19 + 121396*t**3/19 - 199448*t**2/19 + 49616*t/19 - 3200/19 = 0. What is t? -1, 2/19, 2/7, 200 Solve -8*l**4/11 - 1986*l**3/11 - 158864*l**2/11 - 4034856*l/11 - 998816/11 = 0. -98, -52, -1/4 Factor 2*t**4/5 + 6338*t**3/5 + 5024448*t**2/5 + 5018112*t/5. 2*t*(t + 1)*(t + 1584)**2/5 Find a, given that -5*a**2 + 465*a + 32900 = 0. -47, 140 Factor -r**4 + 21*r**3 + 10420*r**2 + 20748*r. -r*(r - 114)*(r + 2)*(r + 91) Suppose 4*z**2/7 - 62772*z/7 - 125560/7 = 0. What is z? -2, 15695 Factor -200*r**2/9 - 5794*r/9 + 58/3. -2*(r + 29)*(100*r - 3)/9 Find q, given that 2*q**4 + 21268*q**3 + 42526*q**2 - 21268*q - 42528 = 0. -10632, -2, -1, 1 Factor -5*v**2 - 51020*v - 204000. -5*(v + 4)*(v + 10200) Find z, given that z**3 - 1234*z**2 + 8599*z - 12270 = 0. 2, 5, 1227 Suppose -h**2 + 105150*h - 2764130625 = 0. Calculate h. 52575 Factor -25*f**2/2 - 577*f/2 - 1638. -(f + 13)*(25*f + 252)/2 Find v such that v**2/5 - 17*v + 1534/5 = 0. 26, 59 What is n in -403225*n**3 - 1214755*n**2 - 15256*n - 48 = 0? -3, -4/635 Factor -b**2/6 + 539*b/6 + 637. -(b - 546)*(b + 7)/6 Determine b, given that -3*b**3/4 - 2580*b**2 - 30879*b - 92556 = 0. -3428, -6 Factor -2*a**4 - 618*a**3 + 620*a**2. -2*a**2*(a - 1)*(a + 310) Factor 2*r**4/3 - 1566*r**3 + 6256*r**2 - 18760*r/3. 2*r*(r - 2345)*(r - 2)**2/3 Solve 33*d**3 - 259815*d**2 + 2382846*d - 424656 = 0. 2/11, 9, 7864 What is l in -3*l**3/2 - 873*l**2 + 26703*l/2 - 48357 = 0? -597, 6, 9 Suppose o**3/4 - 145*o**2/4 - 73*o/2 = 0. What is o? -1, 0, 146 Suppose -24886805*t**4 + 74705035*t**3 + 447828610*t**2 - 803100*t + 360 = 0. What is t? -3, 2/2231, 6 What is l in 5*l**4 + 1995*l**3 + 67500*l**2 + 792720*l + 3136320 = 0? -363, -12 Find w, given that -4*w**4/7 - 208*w**3/7 + 132*w**2/7 + 3520*w - 14000 = 0. -50, -14, 5, 7 Find a, given that -a**5/6 - 10*a**4/3 + 110*a**3/3 + 415*a**2/3 - 73*a/2 - 135 = 0. -27, -3, -1, 1, 10 Suppose -7203*n**3 + 74970*n**2 - 29700*n + 3000 = 0. Calculate n. 10/49, 10 Factor -4*n**3/9 - 111132*n**2 + 1333600*n/3 - 4000816/9. -4*(n - 2)**2*(n + 250051)/9 Suppose -4*l**5 - 95*l**4 - 644*l**3 - 937*l**2 + 2148*l - 468 = 0. Calculate l. -13, -6, 1/4, 1 Determine y so that y**4/3 - 104*y**3/3 - 3377*y**2 - 61710*y = 0. -33, 0, 170 Factor 288*b**3/17 + 5750*b**2/17 + 28600*b/17 - 1000/17. 2*(b + 10)**2*(144*b - 5)/17 Factor x**2/3 + 17576*x - 52729/3. (x - 1)*(x + 52729)/3 Factor -5*h**2/2 + 785*h - 25245/2. -5*(h - 297)*(h - 17)/2 Factor -2*h**4 - 815192*h**3 - 83068064796*h**2 - 166133684024*h - 83066434418. -2*(h + 1)**2*(h + 203797)**2 What is a in -a**4 + 157*a**3 + 4189*a**2 - 8845*a + 4500 = 0? -25, 1, 180 Factor -249*c**2/4 + 218865*c/4 + 2637/2. -3*(c - 879)*(83*c + 2)/4 Factor -2*z**2/9 - 316*z - 596992/9. -2*(z + 256)*(z + 1166)/9 Let 3*x**4/4 - 9569*x**3/4 - 41533*x**2/4 + 35129*x/4 + 7985/2 = 0. What is x? -5, -1/3, 1, 3194 Find z, given that -z**2/6 + 167221*z/3 + 111481/2 = 0. -1, 334443 Let -3*v**4/11 + 20*v**3/11 + 324*v**2/11 - 224*v/11 = 0. What is v? -8, 0, 2/3, 14 Suppose g**2 + 4447*g - 8898 = 0. What is g? -4449, 2 Find w, given that 3*w**2 - 416820*w + 14478242700 = 0. 69470 Find h such that -4*h**5 - 324*h**4 - 6348*h**3 - 43340*h**2 - 81312*h = 0. -56, -11, -3, 0 Determine o, given that 4*o**5/11 - 21366*o**4/11 - 96208*o**3/11 - 106914*o**2/11 - 2916*o = 0. -3, -1, -1/2, 0, 5346 Let -2*j**2/17 + 902*j/17 + 12064/17 = 0. Calculate j. -13, 464 Factor -2*v**3 + 10352
{ "pile_set_name": "DM Mathematics" }
3/6 + g - 1. Let p(t) be the first derivative of s(t). What is p(n)? -10 Let s = -10 - -1. Let j(m) = m + 4. Calculate j(s). -5 Let y(g) be the second derivative of -g + 0 - 1/2*g**2 + 1/6*g**3. Calculate y(-6). -7 Let g(d) be the first derivative of d**3/3 + 3*d**2/2 + 2*d + 3. Determine g(-4). 6 Let i(q) = q**3 + 7*q**2 - 9*q - 4. Let w be i(-8). Suppose 5*s = 4*j - 2, w*j - 6*j + 10 = 2*s. Let z(u) = 4 + u + u - j. Calculate z(-2). -3 Let a(w) = -3*w - 7. Let v(t) = t + 4. Let b(o) = -3*a(o) - 5*v(o). What is b(-2)? -7 Let c(v) be the third derivative of -v**4/3 + v**3/6 - v**2. Suppose -t - 4 = t. Give c(t). 17 Let x(r) = r**2 + 5*r - 2. Let b = -32 - -48. Suppose 3*d + b = -d. Give x(d). -6 Let a(k) = k**2 + 6*k + 5. Let w(h) = h**2 + 7*h + 6. Let u(o) = 5*a(o) - 4*w(o). Suppose 4*r = -3*s + 1, 2 + 2 = -s + 3*r. Calculate u(s). 0 Let v = -4 + 10. Let h = -2 + v. Let c(f) = f**3 - 3*f**2 - 3*f - 4. What is c(h)? 0 Let g be (0 - 0/1)/(-2). Let c be 9/(6/(-2)) - g. Let l(h) = h**3 + 2*h**2 - 3*h - 2. Calculate l(c). -2 Suppose 2*j = 5*j - 21. Let z(f) = 6*f + 0*f**2 + f**2 + 8 - f**2 - f**2. What is z(j)? 1 Let i = -3 + 5. Let o(h) = 183 - 181 + 2*h + h. Calculate o(i). 8 Let y(c) = -2*c - 45. Let d be y(-23). Let z(g) = 2*g**3 + 1. Calculate z(d). 3 Let p(a) = a**2 + 9*a + 3. Let f(v) = v**2 - 12*v + 19. Let u be f(9). What is p(u)? -5 Suppose 24 = -4*f - 4*s, -4*s = 5*f - 0*s + 30. Let c be 65/(-15) + (-2)/f. Let u(d) = d. Let t(z) = 4*z - 3. Let i(p) = -t(p) + 5*u(p). Calculate i(c). -1 Let d = -7 + 9. Let i(w) = -4*w**2 + 3*w**d - w**2 + 3*w**2 + 6*w**3 + 1 - 2*w. Calculate i(1). 6 Let n(d) = -d**3 - 7*d**2 - 7*d - 7. Let j be (2 - (0 - 3))*18/(-15). Determine n(j). -1 Suppose -4*d - 5*k - 60 = -9*d, 53 = 5*d + 2*k. Let p(b) = 14*b - 8. Let m(q) = -5*q + 3. Let t(u) = d*m(u) + 4*p(u). Give t(0). 1 Let a(b) be the second derivative of -b**5/20 + b**4/12 - b**3/6 - b**2 + 21*b. What is a(0)? -2 Let y be (-60)/(-40)*(-16)/6. Let f be 17/6 + 5/30. Let x(m) = -f*m + 6*m + m**2 + m - 2. Determine x(y). -2 Let f(i) = -i**2 - 5*i - 1. Let o be f(-4). Suppose p + o + 2 = 0. Let n(a) = -a - 4 - 1 + 0 + 6. Give n(p). 6 Let q be (1/(-3))/((-3)/117). Suppose -3*d - q = -31. Let c(u) = u + 2*u**2 + 2*u**2 + d - 5*u**2. Give c(0). 6 Let p(m) = 11*m + 12. Let q(k) = 8*k. Let z(j) = -7*j - 1. Let u(s) = 3*q(s) + 4*z(s). Let i(g) = -3*p(g) - 8*u(g). Let h = -12 + 7. Give i(h). 1 Let x(q) be the second derivative of -q**4/12 - q**3 + q**2 - 6*q. Calculate x(-9). -25 Let q(f) = f - 8. Suppose 3*n + 3*x = 0, 0 = 3*n - 2*n - x. What is q(n)? -8 Let w(n) be the second derivative of -n**3/6 - n**2 - 4*n. Let a = -8 + 13. Let x(z) = -1. Let h(l) = a*x(l) - 2*w(l). Give h(-1). -3 Let d(q) = -2*q + 1. Let o(m) = m - 1. Let f(l) = -6*d(l) - 10*o(l). Suppose -5*v + 4*v - 12 = 0. Let b be (-1)/(1*(-2)/v). Give f(b). -8 Let v(j) = 3*j. Let m(h) = 7*h - 5. Let s(n) = -7*n + 6. Let b(u) = 5*m(u) + 4*s(u). Let d(w) = -4*b(w) + 9*v(w). Give d(7). -3 Let j(r) be the third derivative of r**7/840 - r**6/90 + r**4/24 - r**3/2 - 4*r**2. Let v(t) be the first derivative of j(t). Calculate v(4). 1 Let a be 6/8*4*-1. Let y be (1 + -3)*a/2. Let x(r) = 5*r**2 + 6*r + 4. Let j(c) = -14*c**2 - 18*c - 11. Let f(k) = -6*j(k) - 17*x(k). What is f(y)? 7 Let o(z) = 9 + 0*z - 4*z**2 - 6 + 4*z + 3*z**2. Determine o(5). -2 Let w(g) = -2*g. Let m be w(2). Let c be -3*(m + 3) + 0. Let j(r) = 2*r + 4. Determine j(c). 10 Suppose -2*f + 4*u = 4, 8*f = 3*f + 5*u - 5. Suppose -4*v - 8 = f, -3*y - 25 = 4*v - 8. Let o be 1 + 1*y - 3. Let q(a) = -a**2 - 6*a. Give q(o). 5 Let x(u) = -4*u + 1. Let z(g) = g - 1. Let m = 7 - 12. Let j(o) = m*z(o) - x(o). Give j(3). 1 Let l(j) = j**2 - 5*j - 1. Suppose -12 = -6*i + 3*i. Determine l(i). -5 Let z(g) = g + 1. Let a be z(3). Suppose 0 = -5*f - 1 - a. Let s be 0*f/(0 + 1). Let q(c) = -c**3 + c**2 - c + 6. Determine q(s). 6 Let g(a) = 5 + a + 0 - 1. Let k(f) = -f**3 + 7*f**2 + 2*f - 8. Let y be k(7). Let c(h) = -h**2 + 6*h - 5. Let r be c(y). Determine g(r). -1 Let b = 3 + 1. Let n be ((-6)/b)/((-6)/8). Let v(x) = -2*x**2 + 3*x - 1. Determine v(n). -3 Let z(o) = o + 1. Suppose -16 = 2*w - 6. Suppose -2*a + 0*a = -g + 8, g = 4. Let b = a - w. What is z(b)? 4 Let g(l) be the third derivative of -l**7/840 + 7*l**6/360 - l**5/30 - l**4/3 + l**3 + l**2. Let x(r) be the first derivative of g(r). Give x(6). 4 Let b(m) be the first derivative of -m**3/3 - 2*m**2 - 6*m + 3. What is b(-4)? -6 Let a(y) = -y**2 + 5*y - 6. Let i(q) = -q**3 + 7*q**2 + 2*q - 10. Suppose 39 = 5*p + 4. Let r be i(p). What is a(r)? -2 Let w(r) be the second derivative of -r**5/20 + r**4/3 - r**3/2 + r**2 - r. Let y(s) = s**2 + s. Let q be y(1). Suppose 3 = -q*n + 3*n. What is w(n)? 2 Let h(f) = 18*f**3 + 2*f**2 - 1. Suppose -8*m - 9 = -1. Calculate h(m). -17 Let y(k) = k - 1. Let m(s) = 1. Let g(w) = -2*m(w) + y(w). Determine g(2). -1 Let w be (-2)/(-4)*(0 + -6). Let i(h) = -1 + 2*h + 2 - 3 - h. Determine i(w). -5 Let o(u) be the second derivative of u**4/12 - 2*u**3/3 - 4*u**2 + 3*u - 2. Determine o(6). 4 Let c = 12 - 17. Let z(v) = v + 1. Give z(c). -4 Let p(a) = a + 2. Let o(l) = l**2 - 5*l + 6. Let b(d) = 6*d**2 - 25*d + 30. Let r(u) = 2*b(u) - 11*o(u). Let v be r(-6). What is p(v)? 2 Let y(d) = -d**3 + 2*d**2 + 2*d - 1. Let r(u) = u**3 - 12*u**2 + 2. Let z be r(12). Suppose b - 4*f + 5 = 0, 4*b + f - 8 = z*b. What is y(b)? -4 Let t(m) = m + 2. Suppose 0 = 3*n - 2*n + 1. Let b = n - 6. Determine t(b). -5 Let r(k) = -k**3 + k**2 - k. Let v = -5 + 9. Suppose 0*g = -v*g - 12. Let q = g - -5. What is r(q)? -6 Let m(i) = -i**2 + 7*i - 6. Suppose 4*o + 5 = 29. What is m(o)? 0 Suppose 0*d - 3 = d, -5*x = 4*d - 8. Suppose -m = -x - 2. Let c be ((-6)/9)/(4/m). Let w(p) = 5*p**3 + p**2. Calculate w(c). -4 Let g be (-2)/(-1) - (-1 + -2). Suppose -g*h + 4 = -1. Let o(n) = -6*n**2 + n. What is o(h)? -5 Let m(i) be the second derivative of i**4/12 - i**3 + 3*i**2/2 - 2*i. Suppose 7*f + 4 = 8*f. What is m(f)? -5 Let u(d) = 9 - 6 - d - 4 + 2*d - 6*d**2. Suppose 4 = 2*q + 2*q. Calculate u(q). -6 Suppose 4*q + p - 39 - 18 = 0, -4*p + 4 = 0. Let l = q + -10. Suppose -l*c + 5 + 7 = 0. Let i(x) = -x**3 + 2*x**2 + 4*x - 4. Calculate i(c). -1 Let h(a) = -2*a - 1. Let w be h(-2). Suppose -3*n + w + 3 = 0. Let f(t) = -4 + 6*t**n + 2 + t**3 + 5*t + 0*t. Give f(-4). 10 Let q(x) be the second derivative of x**3/6 - 5*x**2 + x. Determine q(5). -5 Let z(o) = -1 + 0 + 0 + 2*o**2. Determine z(-2). 7 Let t = 5 + -3. Suppose -4*l + 23 = -b, t*l - 6 = -l - 3*b. Let w(n) = -3*n - 7. Let i(s) = 4*s + 10. Let u(v) = l*i(v) + 7*w(v). What is u(6)? -5 Let m = -7 + 10. Let c(t) = -5 - m - t + 3 + 0. What is c(-4)? -1 Suppose -g = 3*j - 16, g + 14 = 2*j + j. Let a(t) = t**2 - t - 5. Determine a(j). 15 Let i(o) = 2*o - 9. Let m(q) = 8*q + 10*q - 17*q - 5. Let v(k) = 6*i(k) - 13*m(k). What is v(0)? 11 Let j = 15 + -11. Let w(i) = 12 + i**2 - 20 - 5*i + 10. Determine w(j). -2 Let p be ((-2)/(-4) - 7/(-14)) + 4. Let r(q) be the first derivative of -q**2/2 + 12*q - 1. Let z(y) = 1. Let v(f) = r(f) - 5*z(f). What is v(p)? 2 Let j(h) = -h**2 - 5*h - 7. Let k be (-6)/(-4) + 6/(-4). Suppose k = -2*z - z - 15. Determine j(z). -7 Let w(l) = 6*l - 1. Suppose -p - 3*p + 4 = 0. Determine w(p). 5 Let y(d) = -3*d**2 + 2*d**2 - 2*d + 5 - 4*d. Suppose -63 = 8*u - 23. What is y(u)? 10 Let w(u) be the third derivative of u**7/210 + u**6/720 - u**5/120 + u**4/6 - 3*u**2. Let f(x) be the second derivative of w(x). Give f(1). 12 Let f(v) be the first derivative of -v**4/4 + 3*v**3 - 3*v**2 - 9*v + 24. Give f(8). 7 Let q(k) = 0 - 1 - 10*k**2 - k**3 + k - 2*k**3. Let h(v) = 8*v**3 + 29*v**2 - 3*v + 4. Let l(d) = 4*h(d) + 11*q(d). Suppose -3*a + 24 = 6. Calculate l(a). -1 Let x(w) = -w**2. Let a(u) = 9*u**2 + 4*u - 7. Let r(y) = 3*y**2 + y - 2. Let k(m) = -4*a(m) + 11*r(m). Let d(l) = k(l) - 2*x(l). What is d(-5)? 6 Let z be (-2)/(-2 + (-6)/(-4)). Let q(m) = -m - 3. Let k be q(-5). Let l(t) = -2*t + 4 - t + k*t. Calculate l(z). 0 Let v(w) = -w - 4. Let y = 12 - 18. Let s(o) = 3*o + 12. Let t(p) = y*s(p) - 17*v(p). Give t(-4). 0 Let q(i) = i**3 - 2*i**2 - 3*i - 3. Let p be q(3). Let z(v) = -v + 3. Give z(p). 6 Let v = -6 - -21. Suppose -v + 5 = 2*q. Let n
{ "pile_set_name": "DM Mathematics" }
43625 Convert 6.05567 years to decades. 0.605567 What is 201278.01 months in centuries? 167.731675 How many centimeters are there in 229.687nm? 0.0000229687 Convert 7696.42um to nanometers. 7696420 How many minutes are there in 28/9 of a week? 31360 Convert 67.04471l to millilitres. 67044.71 How many centuries are there in eighteen fifths of a millennium? 36 How many months are there in 2/75 of a millennium? 320 How many micrometers are there in 6.155948 meters? 6155948 How many millimeters are there in 7851.437cm? 78514.37 Convert 1185.755 kilometers to micrometers. 1185755000000 How many milligrams are there in 42.85094ng? 0.00004285094 What is 18337.75 centuries in years? 1833775 What is 424.6577ml in litres? 0.4246577 How many centuries are there in thirty-one halves of a millennium? 155 What is 45/2 of a tonne in kilograms? 22500 How many millimeters are there in 0.1466868cm? 1.466868 Convert 1681.93mg to nanograms. 1681930000 How many nanograms are there in one quarter of a microgram? 250 How many years are there in fourty-one halves of a century? 2050 What is 372171.9 grams in micrograms? 372171900000 What is six fifths of a millisecond in microseconds? 1200 What is seventeen halves of a millisecond in microseconds? 8500 What is 146.3167l in millilitres? 146316.7 What is nine tenths of a milligram in micrograms? 900 How many months are there in 4/3 of a year? 16 How many tonnes are there in 382.6789 grams? 0.0003826789 Convert 8979.275 nanometers to micrometers. 8.979275 How many minutes are there in fourteeen ninths of a week? 15680 Convert 0.7561635 millennia to decades. 75.61635 How many seconds are there in 1/15 of a minute? 4 Convert 0.0323681 litres to millilitres. 32.3681 What is 41/2 of a milligram in micrograms? 20500 Convert 266889.45 hours to days. 11120.39375 How many decades are there in 0.8462901 millennia? 84.62901 How many grams are there in 4.210082t? 4210082 How many centimeters are there in 0.4603084mm? 0.04603084 What is fourty-eight fifths of a microgram in nanograms? 9600 How many nanograms are there in twenty-seven halves of a microgram? 13500 What is seven eighths of a kilogram in grams? 875 What is 905.4327km in meters? 905432.7 How many kilograms are there in thirteen eighths of a tonne? 1625 What is 6973.063l in millilitres? 6973063 How many minutes are there in 10/9 of a day? 1600 Convert 5838.21 grams to nanograms. 5838210000000 What is 17/4 of a kilogram in grams? 4250 Convert 96386.22 centuries to years. 9638622 How many nanograms are there in 17/2 of a microgram? 8500 How many microseconds are there in 5/8 of a millisecond? 625 What is 97362.11 days in seconds? 8412086304 How many months are there in 51.34193 millennia? 616103.16 Convert 979.2505kg to micrograms. 979250500000 What is 0.41147kg in milligrams? 411470 How many milligrams are there in 41/2 of a gram? 20500 Convert 8.492576ug to tonnes. 0.000000000008492576 What is 26/5 of a kilogram in grams? 5200 What is 687089.3 millilitres in litres? 687.0893 How many years are there in eleven quarters of a millennium? 2750 Convert 9.571268ml to litres. 0.009571268 How many litres are there in 0.2513814ml? 0.0002513814 What is 0.8119863 centimeters in micrometers? 8119.863 What is twenty-one fifths of a minute in seconds? 252 How many weeks are there in 1637224.68 hours? 9745.385 How many centuries are there in thirteen fifths of a millennium? 26 How many millilitres are there in 7/4 of a litre? 1750 What is 11/4 of a meter in millimeters? 2750 What is one sixteenth of a gram in micrograms? 62500 Convert 0.4818561 litres to millilitres. 481.8561 How many litres are there in 0.0174501 millilitres? 0.0000174501 Convert 92.79287 years to millennia. 0.09279287 How many millilitres are there in 4.013335 litres? 4013.335 Convert 44.01679ml to litres. 0.04401679 What is seven sixths of a week in hours? 196 What is 0.5744378 years in months? 6.8932536 How many micrograms are there in fifty-three quarters of a milligram? 13250 What is 43/4 of a century in months? 12900 Convert 31527.57 weeks to minutes. 317797905.6 How many centuries are there in 2612454.9 months? 2177.04575 Convert 90334.7mm to centimeters. 9033.47 How many millilitres are there in eleven halves of a litre? 5500 How many meters are there in seven quarters of a kilometer? 1750 How many milliseconds are there in 0.5253846 weeks? 317752606.08 Convert 3294.035l to millilitres. 3294035 Convert 642.988g to tonnes. 0.000642988 What is 6.308978 minutes in microseconds? 378538680 What is 11.74954us in nanoseconds? 11749.54 What is twenty-seven halves of a meter in millimeters? 13500 What is 95.9670369 milliseconds in weeks? 0.00000015867565625 How many millilitres are there in five quarters of a litre? 1250 What is one fifth of a micrometer in nanometers? 200 How many milliseconds are there in 797793.6 minutes? 47867616000 How many seconds are there in 1/30 of a hour? 120 How many nanograms are there in 2454.969mg? 2454969000 What is 0.7008324 millilitres in litres? 0.0007008324 What is three eighths of a kilometer in meters? 375 How many years are there in thirteen eighths of a millennium? 1625 Convert 0.5538554 days to hours. 13.2925296 What is 11/2 of a millennium in years? 5500 What is 151.1493669ns in weeks? 0.00000000000024991628125 Convert 0.1799564l to millilitres. 179.9564 What is 0.2948009ml in litres? 0.0002948009 How many kilograms are there in 7.462092ug? 0.000000007462092 How many nanometers are there in 398.9608 kilometers? 398960800000000 What is 0.7909635 micrograms in kilograms? 0.0000000007909635 How many nanograms are there in 18/5 of a microgram? 3600 What is 58772.91 milliseconds in seconds? 58.77291 How many minutes are there in five quarters of a day? 1800 Convert 96.04794 decades to years. 960.4794 Convert 8700.416 years to millennia. 8.700416 Convert 89321.8 years to decades. 8932.18 What is 7/8 of a tonne in kilograms? 875 How many years are there in 73/4 of a century? 1825 How many grams are there in 3/10 of a kilogram? 300 What is 81331.41 grams in nanograms? 81331410000000 What is 3/25 of a millennium in months? 1440 What is 1726.1754ms in minutes? 0.02876959 How many minutes are there in one sixth of a week? 1680 Convert 77551.35nm to millimeters. 0.07755135 How many nanometers are there in one tenth of a micrometer? 100 Convert 213291.48 months to decades. 1777.429 What is 1/20 of a second in milliseconds? 50 How many milliseconds are there in 0.9855283 weeks? 596047515.84 How many millilitres are there in 1/20 of a litre? 50 How many minutes are there in four thirds of a hour? 80 What is one ninth of a week in seconds? 67200 How many years are there in twenty-five quarters of a millennium? 6250 How many millilitres are there in 8.502369 litres? 8502.369 What is 87/5 of a decade in months? 2088 How many millilitres are there in thirty-one halves of a litre? 15500 How many centimeters are there in 3/25 of a meter? 12 What is 200505.4cm in micrometers? 2005054000 How many millilitres are there in 45/2 of a litre? 22500 How many weeks are there in 4878.0207 hours? 29.0358375 What is twenty-nine halves of a millimeter in micrometers? 14500 How many decades are there in 249.92166 months? 2.0826805 What is 240742.449 nanoseconds in days? 0.0000000027863709375 How many nanograms are there in 7/2 of a microgram? 3500 What is twenty-five quarters of a tonne in kilograms? 6250 How many nanometers are there in twenty-seven fifths of a micrometer? 5400 What is 5/4 of a tonne in kilograms? 1250 Convert 4.422162mg to grams. 0.004422162 What is 904.2437 nanometers in centimeters? 0.00009042437 How many seconds are there in 0.355106us? 0.000000355106 What is one tenth of a week in minutes? 1008 How many kilograms are there in 5.423665 nanograms? 0.000000000005423665 What is 6/5 of a kilogram in grams? 1200 How many centuries are there in 1.1247717 months? 0.00093730975 How many months are there in seventeen halves of a decade? 1020 How many millilitres are there in eighty-seven halves of a litre? 43500 What is 34/5 of a tonne in kilograms? 6800 How many milligrams are there in 57/5 of a gram? 11400 What is six fifths of a gram in milligrams? 1200 Convert 0.3071395 nanoseconds to micros
{ "pile_set_name": "DM Mathematics" }
.2, 6, -3, 242, 7? -0.2 What is the closest to 8 in 2/9, -3/83, 47, -0.2? 2/9 What is the closest to -0.41 in -1333, -24, -2/25? -2/25 Which is the closest to -0.1? (a) 4 (b) 41.2 (c) 0.0503 c What is the nearest to -743 in -0.4, -0.035, -1/4, 3? -0.4 Which is the closest to 1/3? (a) -1/4 (b) -1008 (c) 96144 a What is the closest to -89 in -87.4, -3/5, -6? -87.4 What is the nearest to -1/5 in 1, -175.74, 25/2? 1 Which is the closest to 6? (a) -3/2 (b) -4 (c) 231.48 (d) -3/41 d What is the closest to 0 in 0, -5, 24305, -1/5, 3/4? 0 What is the nearest to -195 in 1/2, 4, 0.33, -1, -193? -193 Which is the closest to -1? (a) 74 (b) -5 (c) -14/293 (d) 0.4 (e) -0.06 e Which is the nearest to 4/73? (a) 2/3 (b) -0.5 (c) -18 (d) 1 b What is the closest to -318 in -27.2, -0.3, 8? -27.2 Which is the closest to 45? (a) 44 (b) -2 (c) 683 a Which is the closest to -0.1? (a) 4 (b) -14 (c) 116193 a What is the closest to 0.798 in -1.1, -0.044, -1/5? -0.044 Which is the closest to 3/5? (a) -166 (b) 167.05 (c) 0.4 c Which is the closest to 3/2? (a) -5 (b) 21/13 (c) -23560 b What is the nearest to 1015 in -2/11, -388, -35? -2/11 Which is the closest to -11? (a) 0.337 (b) 3/2 (c) 1623 a What is the nearest to 0.3 in -1/64, -41.392, -2/7? -1/64 What is the closest to -0.07 in -0.4, 16, -88.88? -0.4 Which is the nearest to -1? (a) -0.1 (b) -103 (c) 2 (d) 1/3 (e) 5087 a What is the closest to 1 in -1/6, 0, 19.8, -10? 0 What is the nearest to -0.2 in 5, -2, -2085, -2/5, 124? -2/5 Which is the nearest to -2? (a) 0.1 (b) 9102 (c) 23 (d) -12 a Which is the closest to 3.5? (a) 10 (b) 46 (c) 2/15 (d) 3 (e) 7 (f) -0.01 d Which is the closest to 5? (a) -4/9 (b) -18 (c) 39196 a Which is the closest to 17? (a) 0.5 (b) 0.3 (c) 11 (d) -0.3 (e) -4/599 c What is the closest to -0.23 in -5, 19/17919, 2/7? 19/17919 What is the closest to 29.4 in -9, -0.1, -2/13, -6? -0.1 Which is the nearest to 2/7? (a) 2/3 (b) -1 (c) -78 (d) 6 a What is the closest to 1 in -2/5, -580, 2/19, 0.9, 9/25? 0.9 What is the nearest to -1 in 4, -7023, 0.001? 0.001 Which is the closest to 0? (a) -0.5 (b) 0 (c) -86.46818 b Which is the closest to 8432? (a) -0.3 (b) 3/4 (c) -10 (d) -3/7 b What is the nearest to 0 in 5, 2/89, -13133? 2/89 Which is the closest to 945? (a) 69/7 (b) 2 (c) 1/2 a What is the nearest to 3 in 0.3, -0.18, 1/3, -205, -0.4? 1/3 Which is the nearest to -1? (a) -3/14 (b) 50 (c) -0.12 (d) -2/9 d What is the nearest to -86 in -54, 4, -1, -14? -54 What is the nearest to 0 in 0.214, 6582, -0.5? 0.214 Which is the closest to -9743? (a) 4 (b) 0.1 (c) -0.1 (d) 0.4 (e) -5 (f) -5/3 e Which is the nearest to -1? (a) -2/9 (b) 151 (c) -0.16 (d) 8/5 a What is the nearest to 1.6 in -0.2, -4/10065, -2, -0.3, -5? -4/10065 What is the nearest to 1 in -0.01, -812/285, 3? -0.01 Which is the nearest to -2? (a) -90671 (b) 5 (c) -3 (d) -2/19 c Which is the closest to 0.09? (a) 131 (b) 2/9 (c) 20 b Which is the closest to -1? (a) 5/3 (b) 2 (c) -5 (d) 2/73 (e) -16064 (f) -0.1 f What is the closest to 0.05 in 0.08, -0.04, 3861/37? 0.08 Which is the nearest to 2/3? (a) 116.6 (b) -67 (c) 4 c What is the closest to 0 in -1/2, 5, 199, -5/6, 853, -2? -1/2 Which is the nearest to 1/11? (a) -1/49 (b) -0.093 (c) -5 a Which is the closest to 2/7? (a) -5 (b) -6 (c) -1/28974 (d) 1/5 d Which is the nearest to 0? (a) 1 (b) 0.3 (c) 18.81 (d) -7 b Which is the closest to 1/2? (a) 465 (b) 0.1 (c) -5 (d) 1/30 (e) 0.4 e What is the closest to 2/3 in -49.5, 0.4, 0.5, 21, -5? 0.5 Which is the nearest to 2725? (a) 0.04 (b) -4 (c) 120 (d) -1/6 c Which is the nearest to 0? (a) 64 (b) -0.6 (c) 179/14 (d) -1/2 d What is the nearest to 1/2 in 3, -676, -0.038, -1/24? -0.038 Which is the closest to 1/2? (a) -134.8 (b) 1 (c) -11 (d) 1.2 b Which is the nearest to -1/2? (a) 17/4 (b) 0.1 (c) -3 (d) -4/9 (e) -1.6 (f) 1/3 d What is the closest to 3462/11 in 0.65, -9, 3? 3 Which is the closest to -18463/4? (a) 0.4 (b) 5 (c) 23 a What is the closest to 1 in -0.05, 1, 57277, 3, -0.2? 1 Which is the nearest to 3? (a) -1/7 (b) 98 (c) -5 (d) -152 a What is the closest to -2/25951 in -4, 0.1, 6, 21, -1? 0.1 What is the closest to -0.36 in -35/17, -0.4, 4, -7, -0.1? -0.4 Which is the nearest to 0.644? (a) 152/11 (b) -1/7 (c) 0.1 (d) 2/11 d Which is the nearest to 1/9? (a) 0.4 (b) 91 (c) -8 (d) -1/84 d What is the nearest to -0.96075 in -4/11, 5, 3/7? -4/11 What is the closest to 67403 in -0.022, -0.09, -5? -0.022 What is the closest to 1 in -3/8, 16375.4, 19? -3/8 Which is the nearest to -47/15? (a) -0.3 (b) -10 (c) -29.89 (d) -0.1 a Which is the nearest to 18/5? (a) 531 (b) 38/3 (c) 8 c What is the nearest to 94323 in -1, -242, 3? 3 What is the closest to -0.36 in -6, -2/17, -9, -0.04, -5? -2/17 What is the closest to -469.2 in 5, 6, -3/5? -3/5 What is the nearest to -8/141413 in -29, 0.06, 3? 0.06 Which is the nearest to -4/7? (a) 3/14 (b) 0 (c) 13/7 (d) 2 (e) -1.3 b What is the nearest to 0.5 in -2, -94, -1/3, 3.55, 0.2? 0.2 Which is the nearest to -2/7? (a) -48 (b) 5 (c) 761 (d) 0.01 (e) -3 d What is the nearest to -0.2 in -0.8, 0.04397, -21? 0.04397 Which is the nearest to 0? (a) -5 (b) 1.2 (c) 84 (d) -39 b Which is the nearest to 0? (a) -17 (b) 1/10 (c) -0.049 (d) -2/9 (e) -2/3 c Which is the nearest to -9/16? (a) -2330 (b) 0.1 (c) 0.05 c Which is the nearest to -9? (a) 556 (b) -355 (c) 0 c What is the nearest to -148.1 in -2, -2/13, -1/10, 0.2, 1? -2 Which is the nearest to -115? (a) -1/9 (b) -0.3 (c) 24/11 (d) 1 b Which is the closest to -0.1? (a) 404991 (b) -0.2 (c) -36 (d) 5 (e) 0.3 b Which is the closest to -1? (a) -7414 (b) 0.4 (c) 5 (d) -1 (e) 3 d What is the closest to -0.1 in -16, -4, 6, 0.16, 1.9, 3/19? 3/19 What is the nearest to 0.02 in -53, -4, 1/2, -2/11, -9/16? -2/11 Which is the nearest to 1915? (a) 6 (b) 27502 (c) -1/4 (d) 3/4 a Which is the nearest to 1/237? (a) 1 (b) 4/5 (c) 5 (d) -4/9 (e) 2/13 e Which is the closest to -0.2? (a) 2/3 (b) 49 (c) 539/48 a What is the nearest to 0.03 in 9/5, -9/7, 174/7? -9/7 Which is the nearest to 0? (a) 153 (b) 3/8 (c) -5 (d) 4 (e) -0.4 (f) 5/27 f Which is the nearest to -3/4? (a) 3 (b) 253 (c) -0.5 (d) -0.2 (e) 1/3 c Which is the closest to 3? (a) -0.4 (b) 0.3 (c) 5203269 b What is the closest to -361 in 1, -17, -5? -17 What is the nearest to 0 in -1058, 17, 3, -2/3, 0.09? 0.09 Which is the closest to 0.1? (a) -4/17 (b) 2/5 (c) -101974/3 (d) -0.3 b What is the closest to 1 in 338, -3, 0.4, -2/6299, -0.03, 4/3? 4/3 What is the nearest to 2.224 in -2/65, -4, 3, -3/5? 3 Which is the closest to 49? (a) 2 (b) 1/5 (c) -5/83 (d) 0.16 a What is the nearest to 3 in -0.8, -0.03, -169.5? -0.03 What is the nearest to 2/171 in 25, 2/11, 1, 47, 7? 2/11 What is the closest to -212/5 in 0, 3, -1, -9, 0.06, 2/7? -9 Which is the closest to 0.1? (a) -30.9 (b) 0 (c) 7/6 (d) 2 (e) 1.3 (f) -2/29 b Which is the nearest to 0.1? (a) -1/97 (b) 3/83 (c) -11 (d) 2/13 d What is the closest to -0.1 in -3, 2081, -171? -3 What is the closest to -0.4 in 94, 0.262, 5? 0.262 Which is the nearest to 1/80? (a) 3/25 (b) 1/15 (c) -7/6 (d) 0.2 b Which is the nearest to 0? (a) -6679 (b) 629 (c) 5/6 c Which is the nearest to -3? (a) 69 (b) 0.2469 (c) -0.4 (d) 16 c What is the closest to -32453 in 1, 3/5, -247? -247 What is the nearest to 268 in -3, 0.111, -1/18, 0.2, 0.4? 0.4 Which is the nearest to -1/5? (a) -5 (b) -1/4 (c) 3 (d) 2343 (e) -2/17 (f) 0.3 b What is the closest to 0 in 4/5, -6/19, 61, 2/17? 2/17 Which is the nearest to -3? (a) 0.2 (b) 3/5 (c) 7/24 (d) -9 a What is the closest to -0.489 in -21, 4, -0.5, 4.8? -0.5 What is the closest to 11 in 3/13, 2, -2, -6/17, 2/9? 2 What is the closest to 1/4 in 2, -7, -1, -107612? -1 Which is the nearest to 1/3? (a) 3 (b) -11.3 (c) -0.3 (d) -4/11 (e) -0.01 e What is the closest to 0.082 in -264, 0.4, -2/161? -2/161 Which is the nearest to 34? (a) -5212 (b) 4 (c) 0.1 (d) -0.5 (e) 2/5 b Which is the closest to 2? (a) 0.0059 (b) 0.17 (c) 1/4 c What is the closest to 2/7 in -1, 0.24, -5, -22, 0? 0.24 Which is the nea
{ "pile_set_name": "DM Mathematics" }
41*n**2 - 9*n + 37. What is 9*b(l) - 2*t(l)? -5*l**3 - l**2 + 7 Suppose 0 = a + 1 - 7. Suppose 4*z = -18 - a. Let i(y) = 6 + 5*y**2 - 9 + 5 + 7*y**3 + 3 + 1. Let k(b) = 8*b**3 + 6*b**2 + 7. Give z*i(l) + 5*k(l). -2*l**3 - 1 Let s(j) = 19*j**3 - 6*j**2 - 29*j - 5. Let y(x) = 9*x**3 - 2*x**2 - 10*x - 2. Let p(t) = 3*s(t) - 7*y(t). Let q(z) = -z**3 - z**2. Determine p(b) - 4*q(b). -2*b**3 - 17*b - 1 Let p(r) = 1314*r**3 + 2*r - 4. Let o(g) = 134029*g**3 + 205*g - 410. What is -2*o(d) + 205*p(d)? 1312*d**3 Let r(b) = -2*b**2 + 5*b + 2. Let u(w) = 7*w**2 + 1 + 4 + 14*w - 12*w**2 + 0*w**2. Suppose 17 = -c + 21. Calculate c*u(v) - 11*r(v). 2*v**2 + v - 2 Let p(t) = -23*t**2 + 4*t + 8. Let o = 13908 - 13902. Let l(w) = w**2 - w - 1. What is o*l(c) + p(c)? -17*c**2 - 2*c + 2 Let d(j) = 29*j**2 - 10*j - 17. Let q(c) = 13*c**2 - 5*c - 8. Calculate -4*d(t) + 9*q(t). t**2 - 5*t - 4 Let u(h) = -h**2 + 6*h + 2. Suppose 5*f - 3*f + 3*b = 0, 4*f + 4*b = 0. Let c be (-8 + (11 - 4))/(f + 1). Let z(m) = m + 1. What is c*u(p) + 6*z(p)? p**2 + 4 Let t(b) be the second derivative of -b**3/6 + 2*b**2 + b. Let x(c) be the second derivative of c**3/6 - 5*c**2/2 + 10144*c. What is -5*t(a) - 4*x(a)? a Let i(w) = 6*w**3 + 5*w**2 + w + 6. Let d(o) = 4*o**3 + 4*o**2 + 3. Determine 5*d(p) - 4*i(p). -4*p**3 - 4*p - 9 Let f(m) = -m**2 - 8*m + 5. Suppose 5*g + 5*h = 5, -5*g = 3*h - h - 17. Let z be (-1 + (-27)/(-15))*g. Let s(l) = -l**2 - 9*l + 6. Determine z*f(q) - 3*s(q). -q**2 - 5*q + 2 Let v(d) = 8988*d**3 + 60*d**2 - 5*d - 5. Let k(t) = 6925254*t**3 + 46224*t**2 - 3852*t - 3852. Determine -5*k(z) + 3852*v(z). -4494*z**3 Let k(f) = -101*f + 1629. Let v be k(16). Let a(j) = -2*j + 13. Let u(s) = -s + 7. Give v*u(y) - 6*a(y). -y + 13 Let p(t) be the second derivative of -1/12*t**4 + 49 + 0*t**3 + 0*t**2 + t. Let v(d) = 8*d**2. What is 4*p(n) + v(n)? 4*n**2 Let b(l) = -31*l + 100. Let c(d) = -38*d + 101. Determine 6*b(r) - 5*c(r). 4*r + 95 Let l(n) = 1. Let x = 0 - 1. Let s be ((-918)/36)/(-51)*2. Let f(c) = 8*c + 1. What is s*f(y) + x*l(y)? 8*y Let z(u) = 50*u**2 + 53*u + 2. Let r(m) = -51*m**2 - 63*m - 1. Calculate 5*r(y) + 6*z(y). 45*y**2 + 3*y + 7 Let x(t) = 24*t + 3 + 4*t**2 + 3 + 25*t - 89*t + 41*t. Let u(l) = -l**2 + 7*l - 3. Let k be u(6). Let a(p) = 11*p**2 + 3*p + 17. What is k*a(z) - 8*x(z)? z**2 + z + 3 Let d(w) = -w + 1. Suppose 3*r - 4*b - 2081 = -5*b, 5*b + 667 = r. Let l(h) = r - 361 - 346 - 3*h**2 + 15*h. Determine -30*d(x) - 2*l(x). 6*x**2 Let d(u) = -11*u + 1. Let b be (-1)/(512/576*3/8). Let a(m) = -m**2 + 10*m - 1. What is b*a(x) - 2*d(x)? 3*x**2 - 8*x + 1 Let y(j) = -10*j**2 - 128*j + 375. Let p(s) = -6*s**2 - 78*s + 225. Determine 13*p(x) - 8*y(x). 2*x**2 + 10*x - 75 Let w(r) = -r**2 - r. Let l(o) = -10*o**2 - 6*o. Let b(c) = 4*c**2 + 28*c + 44. Let z be b(-2). Calculate z*w(f) - l(f). 6*f**2 + 2*f Let g(w) = -7*w + 3. Let f(k) = 8*k - 3. Let o(d) = -4*f(d) - 5*g(d). Let i(y) = -4 + 6 - 16 + 22 - 10*y. What is -2*i(s) - 7*o(s)? -s + 5 Let t(f) = -f - 4. Let n = -8 - -1. Let k(v) = -v + 1. Let a be ((-2)/16)/(13/(-104)). Let r(j) = -8*j. Let i(q) = a*r(q) - 6*k(q). Calculate n*t(y) + 5*i(y). -3*y - 2 Let w(t) = -t**3 + t**2 + t. Suppose -58*c = -56*c. Let y(f) = 5*f**2 + 4*f + 144 + 3*f + c*f - 14*f**3 - 144. What is -5*w(r) + y(r)? -9*r**3 + 2*r Let u(t) = t**3 - 2. Let c(z) = -z**3 + 3. Let n = 17 + -14. Give n*u(x) + 2*c(x). x**3 Let i(u) = u**2 + u. Let s = 219 - 217. Let a(p) = 1 + 6*p**2 + 1 - 3*p**s - 3. Calculate -a(w) + 2*i(w). -w**2 + 2*w + 1 Let x(v) = -9*v**3 + 3*v**2 + 2*v + 1691. Let z(a) = 4*a**3 - a**2 - a - 1. What is -x(d) - 2*z(d)? d**3 - d**2 - 1689 Let w(x) = -9*x**3 + 7*x**2 + 7*x + 22. Let u(c) = 12*c**3 - 9*c**2 - 9*c - 29. Determine 7*u(g) + 9*w(g). 3*g**3 - 5 Let k(n) be the second derivative of n**5/2 - n**4/2 - n**3/2 + 2*n - 4. Let h(y) = -11*y**3 + 7*y**2 + 3*y. What is 6*h(z) + 7*k(z)? 4*z**3 - 3*z Let a(i) = i**3 + 4*i**2 - i. Let o(v) = -6*v**3 - 20*v**2 + 5*v - 1047. Give -5*a(r) - o(r). r**3 + 1047 Let o(x) = -3*x**3 + 24*x. Let a = 28514 - 28512. Let s(c) = -10*c**3 + 73*c. What is a*s(m) - 7*o(m)? m**3 - 22*m Let c(y) = -2*y**2 - 8*y - 2. Let m(g) = 48*g**2 - 9*g + 3. Let t be m(0). Let o(b) = -b**3 - 3*b**2 - 9*b - 3. Calculate t*c(n) - 2*o(n). 2*n**3 - 6*n Let o(k) = -6*k**2 + 38*k - 173. Let j(t) = 5*t**2 - 31*t + 174. What is -5*j(g) - 4*o(g)? -g**2 + 3*g - 178 Let n(s) = -23*s - 561. Let k(p) = -25*p - 565. Give -5*k(f) + 6*n(f). -13*f - 541 Let m(y) = -153. Let l(t) = t + 1470. What is l(o) - 4*m(o)? o + 2082 Let f(l) = -19 + 16294*l - 148*l**3 + 51*l**2 - 16243*l - 32 - 73*l**3. Let k(w) = -17*w**3 + 4*w**2 + 4*w - 4. Calculate -4*f(t) + 51*k(t). 17*t**3 Let y(a) = -1202*a + 3. Let o(x) = -580*x + 1. Calculate -5*o(l) + 2*y(l). 496*l + 1 Let j(y) be the second derivative of 5*y**4/12 - y**3/2 + 5*y**2/2 - 141*y - 1. Let g(t) = 0*t + 4 + 0*t - t - t + 4*t**2. Calculate -4*g(d) + 3*j(d). -d**2 - d - 1 Let w(u) = -4 + 4*u - 4 - 3 + 31 + 7 - 14. Let c(n) = -23*n - 1. Let p(y) = -8*y. Let q(x) = 6*c(x) - 17*p(x). What is 5*q(h) + 2*w(h)? -2*h - 4 Let r(i) = -11*i**2 + 27*i + 9. Let h(c) = -c**2 - 5*c - 1. Let l(s) = -6*h(s) - r(s). Let b(t) = -120*t**2 - 20*t + 20. Calculate 3*b(o) + 20*l(o). -20*o**2 Let q(b) = 6*b**2 + 12. Let u be 108/(-4) + 14 + 8. Let c(x) = -1. Give u*q(k) - 60*c(k). -30*k**2 Let b(c) = -1. Let d be 2/2 - 1/(1/(-4)). Let w be d*(-3)/(-15)*-1. Let h(j) be the second derivative of j**4/12 + j**3/2 + j**2/2 + 6*j. Give w*h(k) - b(k). -k**2 - 3*k Let n(b) = 42887*b - 24. Let j(u) = -626150*u + 350. Give -12*j(s) - 175*n(s). 8575*s Let j(d) = -2 + 0 + 6892*d - 1 - 6904*d. Let l(y) = -23*y - 6. Determine -7*j(p) + 4*l(p). -8*p - 3 Let b(j) = -3*j**2 - 61 + 18 + 26 - 5*j + 22. Let w(q) = q - 1. Give -6*b(i) - 30*w(i). 18*i**2 Let w(d) = 6*d + 1. Let c(y) = 89*y + 87*y - 257*y - 1 + 78*y. Give 5*c(o) + 3*w(o). 3*o - 2 Let t(x) = -x + 1. Let z(g) = 2116. Let q(w) = -1694. Let o(r) = -5*q(r) - 4*z(r). Let d(s) = s**3 - 7*s**2 + 7*s - 5. Let j be d(6). What is j*t(b) - o(b)? -b - 5 Let h(l) = -7*l. Let o(d) = 2. Give 3*h(g) - o(g). -21*g - 2 Let z(x) = 15*x**2 + 2*x - 2. Let q(d) = 676*d**2 + 91*d - 91. Let g = 2008 + -2010. Determine g*q(y) + 91*z(y). 13*y**2 Let v(t) = t - 1 + 3 - 1. Let x(l) = 6*l**2 + l + 1. Let n(c) = -c**2 - 1776*c + 8906. Let j be n(5). Calculate j*x(w) - v(w). 6*w**2 Let d be (-12 - -13)/((-1)/13)*108/(-234). Let j(u) = -47*u - 2. Let w(g) = -95*g - 4. Give d*w(i) - 13*j(i). 41*i + 2 Let g(k) = k**3 - 4*k**2 + 7. Let x be g(3). Let a(h) = -4*h - 2. Let s(z) = -3*z - 1. Let f(c) = x*a(c) + 3*s(c). Let r(y) = 3*y - 6. Give -5*f(v) - r(v). 2*v + 1 Let m(g) = g**2 - 2*g - 7. Let n(x) = x**2 - 3*x - 8. Let r = 3 - -12. Suppose 3*a - c + r = -3, 3*c + 6 = -3*a. Determine a*m(w) + 4*n(w). -w**2 - 2*w + 3 Let j(u) = -330 + 8*u + 330. Let r = -1 + -3. Let v(w) = 9*w. What is r*v(p) + 5*j(p)? 4*p Let u(o) = -2*o**2 - 4*o - 23. Let g(z) = -z**2 - z - 1. Let a(q) = -q**3 - 31*q**2 + 32*q - 1. Let x be a(-32). What is x*u(l) + 4*g(l)? -2*l**2 + 19 Let n(c) = 3468*c**2 + 220*c + 1. Let j(f) = -1156*f**2 - 66*f. Calculate 10*j(t) + 3*n(t). -1156*t**2 + 3 Let g(r) = -15*r. Let y(p) be the first derivative of -23*p**2/2 + 499. Give 8*g(w) - 5*y(w). -5*w Let a = -15331 + 15336. Let d(g) = 4*g**2 + 4*g - 21. Let p(f) = 3*f**2 + 3*f - 20. Calculate a*p(q) - 4*d(q). -q**2 - q - 16 Let o(v) = -13*v**2 + v - 442. Let i(x) = 15*x**2 - x + 442. Give 4*i(a) + 5*o(a). -5*a**2 + a - 442 Let x(a) = 48*a - 1. Let n(q) = -36 - 35 + 48*q - 8*q + 69 + 32*q. What is -5*n(d) + 8*x(d)? 24*d + 2 Let k(q) = 15*q**3 + 34253*q**2 + 34244*q**2 - 68494*q**2 + 2. Let f(j) = 15*j**3 + 4*j**2 + 3. Give 3*f(p) - 4*k(p). -15*p**3 + 1 Let s(o) = -1 - 5753*o**3 - 3 + 5752*o**3 + o**2 + 3. Let g(v) = -3*v**3 + 8*v**2 - v - 4. Calculate -g(c) + 5*s(c). -2*c**3 - 3*c**2 + c - 1 Let d(p) = -7*p**3 + 32*p**2 + 6*p + 15. Let o(v) = 15*v**3 - 74*v**2 - 14*v - 30. Calculate -7*d(b) - 3*o(b). 4*b**3 - 2*b**2 - 15 Let t(w) = 12*w**3 + 17*w**2 + 7*w + 6. Let l(r) = -21*r**3 - 35*r**2 - 15*r - 13. Give 6*l(s) + 13*t(s). 30*s**3 + 11*s**2 + s Let c(k) = 4*k**3 - 6*k**2 + 6*k + 264. Let a(x) = x**3 - 2*x**2 + 2*x + 3. Give 3*a(f) - c(f)
{ "pile_set_name": "DM Mathematics" }
4*y + 11 - 82 = -3*q, 21 = q - 2*y. Let b = q - j. Let x(w) = 2*w + 6. What is x(b)? 18 Let l(h) = -23 + 39*h - 42*h + 0 + 7 + 3. Give l(0). -13 Let v be (2 - 0)/(1/1). Let s be 8/v - (4 - 72). Let c(u) = -76*u - s*u + 148*u - 14*u**3 - 1. Give c(-1). 13 Let f(c) = -c**2 - 5*c - 1. Suppose 2*x = 4*d - 1034, 51 = 3*d + 2*x - 721. Let r = d + -264. What is f(r)? -7 Let s(d) = -d**3 + 14*d**2 + 15*d + 6. Let i(t) = -13*t + 171. Let b be i(12). Determine s(b). 6 Let j(b) = -29*b**3 + 57*b**2 - 29*b + 7. Let o(m) = 13*m**3 - 27*m**2 + 14*m - 3. Let d(n) = 6*j(n) + 13*o(n). Determine d(-3). 33 Let m(x) be the first derivative of x**6/120 + 2*x**5/15 + x**4/4 - x**3/3 + x**2/2 + 22*x + 89. Let n(g) be the second derivative of m(g). Determine n(-7). 5 Suppose 0 = -64*g + 58*g + 984. Let n(h) = g + 158 - 314 - 7*h + h**2. What is n(6)? 2 Suppose 4*b - 70 = 5*d, -12*d = 4*b - 7*d - 10. Let s(i) = i**3 - 14*i**2 + 39*i + 8. What is s(b)? -2 Let w(s) be the third derivative of s**5/120 - s**4/12 + 55*s**3/6 - 5*s**2 + 7*s. Let p(t) be the first derivative of w(t). Let m = 1 - -2. Determine p(m). 1 Let u = 619 - 614. Let z(h) = 2*h**2 - 16*h. Give z(u). -30 Suppose s - 150 = -4*n - 4*s, -n - 4*s = -32. Let h = n + -54. Let x be (-9)/(-6) + 21/h. Let p(a) = a**3 + 2. What is p(x)? 2 Let t(l) = -2*l**3 - 12*l**2 - 12*l - 12. Let w be 48/(-9) - (-13)/39. Calculate t(w). -2 Let b(c) = 15*c - 55. Let g(v) = -v**2 + 39*v - 356. Let d be g(24). Determine b(d). 5 Suppose 0 = 72*z - 88 - 200. Let g(v) = 259 + v**2 - 259 - 2*v. What is g(z)? 8 Let r(y) = 9*y + 2*y**2 + 14 - 2*y**2 - y**2. Let w be (6 - 120/16)*44/6*-1. Calculate r(w). -8 Let y = -83 - -126. Let x(q) = 7*q - 18 - 21 + y. Calculate x(-3). -17 Let t(b) = b**3 - 5*b**2 + 5*b - 11. Let y be t(5). Let n(r) = -y - 1 + 17 - 5*r. Determine n(4). -18 Let z(k) be the second derivative of k**5/20 - 2*k**4/3 + 4*k**3/3 - 25*k**2/2 + 5*k - 37. Determine z(7). -18 Suppose -321*x = -588*x + 303*x - 72. Let o(z) = 4*z - 3*z**2 - z + 1 - 2*z + 2*z**3. What is o(x)? 7 Let r(f) = -10*f - 4. Let j(o) = 21*o + 7. Let w(m) = 3*j(m) + 5*r(m). What is w(1)? 14 Suppose 2*d = 3*d + 1, -3*m + d = -7. Let f be 18/4*66/99. Suppose m*g + f = 15. Let r(p) = p - 9. What is r(g)? -3 Let a(w) = -15*w**2 - 15*w - 40. Let v(q) = -7*q**2 + q + 3. Let c(s) = a(s) - 2*v(s). Determine c(-4). 6 Let v(c) be the third derivative of -c**4/6 + c**3/6 + 5*c**2. Let t(z) = z**3 + 4*z**2 - 11*z. Suppose 3*b = -18 - 0. Let n be t(b). Calculate v(n). 25 Let n(x) = -4*x**3 - 3*x + 8. Let z be n(2). Let s be ((-4)/12)/((-5)/z). Let t(y) = -2*y**3 - 4*y**2 - 4*y - 2. What is t(s)? 6 Let w = -765 - -891. Let f(u) = u - u - u - 52 + w - 63. What is f(0)? 11 Let h(p) = 4 - 3*p + 5 + 6*p. Suppose -692*k = 7*k + 4194. What is h(k)? -9 Let h(c) = c**3 - 18*c**2 + 18*c - 23. Let f(o) = -2*o + 11. Let m = 509 + -512. Let j be f(m). Determine h(j). -6 Let p(o) = -o**2 - 13*o - 23. Suppose 4*b - 26 = 11*q - 16*q, 4*b - 6 = 5*q. Suppose -81 = 7*i - b. Give p(i). -1 Suppose 3*u - 4*x = -0*x + 29, 5*u + x - 10 = 0. Let c(d) = -3 + 7*d - 4 + u + d + 1. Determine c(1). 5 Let v(y) = y**2 - 10*y + 26. Let o be v(4). Let w(a) = -o*a - 2*a - 4753 + 4754 + 3*a. What is w(8)? -7 Let i = 7 - 6. Let o(h) = 3 - 3 + 0*h**2 + i - 4*h - 2*h**2. Let q(z) = 616*z - 8627. Let p be q(14). Calculate o(p). -5 Let h be (-2 - -3)/((-101)/17 - -6). Let q(o) = 20*o**2 - 18*o + 12. Let u(n) = 7*n**2 - 6*n + 4. Let c(j) = h*u(j) - 6*q(j). Calculate c(6). -4 Let l(n) = n**3 + 2*n**2 - 5*n + 3. Suppose 10*g = 16*g + 12. Let h be (-1 + -4 + 9)/(g/2). What is l(h)? -9 Let c(y) = -60*y - 4. Let d(r) = 186*r + 13. Let g(u) = -10*c(u) - 3*d(u). Determine g(-1). -41 Let u(p) = -p**2 + 20*p + 7. Suppose 6*t = z + 10*t + 10, 5*z + 7*t = 28. Determine u(z). 91 Let w(d) = 342*d + 716. Let k(c) = 131*c + 357. Let y(n) = -5*k(n) + 2*w(n). Determine y(12). -5 Let r(y) = -y**2 - 10*y. Let w(i) = -10*i + 11. Let h(z) = -z**2 - 7*z + 10. Suppose -c + 64 = -9*c. Let q be h(c). Let d be w(q). Give r(d). 9 Let n(h) = 9*h**3 - 30*h**3 + h + 4*h**2 + h**2 + 10*h**3 + 12*h**3. Determine n(-4). 12 Let b(y) = 95*y - 35. Let s(m) = 8*m - 3. Let v be 0 - ((-5)/(-15) + (-422)/6). Suppose -f + 64 = v. Let x(h) = f*b(h) + 70*s(h). What is x(1)? -10 Let i = -327 + 330. Let d(t) = t**3 - 4*t**2 + 5*t - 10. Let n be d(i). Let a(m) be the first derivative of m**4/4 + m**3 - 3*m**2/2 - 4*m - 1. Determine a(n). -8 Let i(v) = -18*v - 9. Let s(a) = -16*a + 5. Let m(w) = 4*i(w) - 5*s(w). Calculate m(7). -5 Let r(q) = 575*q - 15527. Let z be r(27). Let c = 7 + -6. Let o(k) = -8 + c - k + 3. Calculate o(z). -2 Let m(o) = 5*o - 1. Suppose -4*w + 2*d = -578, 0 = -0*d - 2*d + 10. Let c = -1046 - -1049. Let x be (c/(w/14))/((-1)/(-7)). Calculate m(x). 9 Let h(g) = 58*g**2 + 51*g - 59. Let m(o) = 10*o**2 + 9*o - 10. Let a(j) = 4*h(j) - 23*m(j). Let r(i) = -i + 10. Let k be r(6). Determine a(k). 14 Let v(b) = -b**3 - 30*b**2 + 3*b + 83. Suppose -13*m - 362 = 129 - 101. Calculate v(m). -7 Let t be (4 + 0)*(-38)/4. Let o = t + 41. Let w(j) = 5 + 5*j**2 - 8*j**2 - j**2 + 3*j**3 - 2*j**o. Give w(4). 5 Let l(r) be the first derivative of -r**2/2 + r + 213. Let t be 7*12*5/(-70). What is l(t)? 7 Suppose -r = 10*r - 484. Let i be (-2)/10 + r/20. Let h(c) = 18*c + 2*c**2 - 17*c - 4 + 3*c**3 - c**i - 2*c**3. What is h(0)? -4 Let v(g) be the third derivative of g**4/8 - 5*g**3/6 + 5*g**2 + 27. Suppose -30*x + 25*x = -10. Calculate v(x). 1 Suppose 3*g - 96 = -29*g. Let n(u) be the first derivative of -g*u + 18 - 7/2*u**2. Give n(-2). 11 Suppose u - 3*u = 3*i - 4, 3*i - u = 7. Let t(n) = 2676*n**2 - i + 4 + 4*n - 2677*n**2 + 0. Let r(s) = -2*s**3 - 3*s**2 + 1. Let p be r(-2). Determine t(p). -3 Let y(u) = -u**3 + 2*u**2 + 4*u + 1. Let x(b) = 2*b - 14. Suppose 0 = g + v + 3 + 1, 2*g - 3*v = -28. Let p be x(g). Let k = -27 - p. Calculate y(k). 4 Let l = -10 - -10. Let r(z) = -6 + l + 4 + 0*z**2 - 5*z - 2*z**2. Let p(d) = -d**3 - 16*d**2 + 36*d - 3. Let k be p(-18). Calculate r(k). -5 Let x = 10658 - 10655. Let v(b) be the first derivative of -1/3*b**x - 1/2*b**2 - 28 - 15*b. Give v(0). -15 Let k = 5458 - 5449. Let t(j) be the first derivative of 0*j - 3*j**2 - k + 1/3*j**3. What is t(7)? 7 Let n(p) = 4*p - 6. Let i(l) = 4*l - 7. Let t(g) = 5*i(g) - 6*n(g). Suppose y - 11*u + 10*u + 5 = 0, -5*y = -u + 13. Determine t(y). 9 Let b(q) = 119*q**2 + 24*q - 243 - 128*q**2 - q**3 + 251. What is b(-11)? -14 Let v(s) be the first derivative of -s**3/3 + s**2 - s - 7068. Suppose -9 = n - 4*n. What is v(n)? -4 Let x(s) be the third derivative of s**5/60 + 5*s**4/12 + 5*s**3/3 - 426*s**2 + 4*s. Determine x(-10). 10 Let p be ((-3)/1)/(8/16). Let m(v) = -v**2 - 7*v + 8. Let n(f) = -f**2 - 7*f + 6. Let x(u) = -5*m(u) + 6*n(u). Determine x(p). 2 Suppose -2*y - 5*p - 28 = 0, -3*p + 5*p = -8. Let g be 0/(2/y*-6). Let m(s) be the first derivative of s**4/4 + s - 681. Give m(g). 1 Let k(l) = -l**2 - 8*l + 13. Suppose -9 = -6*p + 15. Suppose -n = 2*v + 4*n - 21, 24 = p*v + 4*n. Suppose -26 = v*x + z, -3*z = 5*x - 33 + 75. What is k(x)? 4 Let w(o) = 2*o - 16. Let d(f) = 2*f**2 + 57*f + 17. Let l(m) = -3*m**2 - 85*m - 25. Let s(i) = 8*d(i) + 5*l(i). Let x be s(-31). Give w(x). 6 Let r(m) = m - 23. Let s(u) = -u**2 - 17*u - 30. Let z be s(-15). Let w(d) = -3*d + 17. Let t be w(z). Suppose -t*c + 5*c = 0. Give r(c). -23 Let l(q) = -5*q**2 - 23*q + 12. Let o be l(-5). Let c(n) = 2*n - n**3 + 0*n**o - 6311 + 6308 + n**2. Give c(2). -3 Suppose 4*x - 12 + 8 = 0. Let b(v) = 3*v**3 - v + 2. Let s(g) = -g**3 - g**2 + 2*g - 3. Let a(k) = 2*b(k) + s(k). Calculate a(x). 5 Suppose 88*d - 391 + 215 = 0. Let z(k) = 19*k**2 - 4*k - 6. Give z(d). 62 Suppose 125 = 5*v + 4*j, -3*v + 0*v - 4*j + 83 = 0. Let n = v + -20. Let c(a) be the first derivative of 23*a**4/4 - a**3/3 + a - 31. Calculate c(n). 23 Let j(m) = 6*m**3 - 9*m**2 - 31*m - 21. Let v(p) = p**3 - 2*p**2 - 6*p - 4. Let c(i) = 2*j(i) - 11*v(i). Let r be (-24)/(18/(-6)) - 11. Give c(r). -1 Let y(a) = -87*a**3 + 39*a**2 - 31*a - 166. Let b(c) = -62*c**3 + 26*c**2 - 21*c - 110. Let x(h) = 7*b(h) - 5*y(h). Determine x(12). 12 Let d(q) be the second derivative of -q**4/12 - 3*q**3/2 + 9*q**2 - 1752*q + 2. Calculate d(-11). -4 Suppose
{ "pile_set_name": "DM Mathematics" }
3. Let m be w(-6). Let q(l) = -37*l**2 - 4*l + 6. Let c be q(3). Let d = c + 342. Calculate the highest common divisor of m and d. 3 Suppose 69*k - 46*k + 2382611 = 144*k. Calculate the greatest common factor of k and 203. 203 Let p = -1445 - -2012. Calculate the greatest common divisor of 324 and p. 81 Suppose -14*i = -13*i - 2. Let u(q) = 2*q**2 + 4*q - 4. Let b be u(i). What is the highest common divisor of 2 and b? 2 Suppose -296 = -4*n + 4*q, n + 3*q - 31 = 67. What is the greatest common divisor of 40 and n? 40 Suppose z - m = -22, 4*z - z - m + 64 = 0. Let v = 30 + z. Calculate the highest common factor of v and 3. 3 Let u(g) = -g**2 + 51*g - 36. Let x be u(50). Suppose 2*v - 4*p = 54, 2*v + x*p - 13*p = 39. Calculate the highest common factor of v and 28. 7 Suppose 10243 = 259*a - 1564 - 33259. Suppose 0 = -4*z - 4*o + 727 + 429, o - 579 = -2*z. Calculate the greatest common divisor of z and a. 58 Suppose -4*h = -s + 234, -2*s + h + 417 = -30. Calculate the highest common factor of s and 2775. 111 Let o be (5 - 3)*(-9)/(-6). Suppose -2*f + 4 - 10 = 0, -o*u + 2*f = -114. What is the highest common divisor of u and 90? 18 Let d be 2935/20 - (-2)/8. Suppose -67*j + 691 = -2592. Calculate the greatest common factor of d and j. 49 Let s be (5 + -10 + 10)/(2 + -1). Suppose -5*d = 4*r - 9*r - 6175, 6184 = s*d + 4*r. Calculate the highest common divisor of 12 and d. 12 Suppose -2*r + 2*l = -206, 10*l - 25 = 5*l. Let h = 116 - r. What is the greatest common factor of 16 and h? 8 Let c be 10 + -10 - 1120/(-10). Calculate the highest common factor of 644 and c. 28 Let p = 0 + 34. Suppose 213 + 1188 = 3*b. Suppose 145 + b = 6*g. What is the greatest common divisor of g and p? 34 Suppose 0 = x - 3 - 26. Suppose 5*m + 14 = 3*m. Let q = m + x. What is the greatest common factor of 154 and q? 22 Let q(z) = 278*z + 2440. Let u be q(-7). What is the greatest common divisor of u and 342? 38 Let u(i) = i**3 - 28*i**2 - 36*i - 1844. Let r be u(39). Calculate the greatest common factor of 139 and r. 139 Suppose -137 = -18*n + 619. Calculate the greatest common divisor of 483 and n. 21 Let a be (-484)/32*-124*(2 - 0)*1. Calculate the highest common divisor of a and 121. 121 Let q be 4 + 138/(-30) + 143/5. Suppose 3*u - 84 = -3*a - 2*u, 0 = -a + 5*u + q. Calculate the highest common factor of a and 56. 28 Let w(i) = 65 - 35*i**3 + i**2 - 121 + 56 + i. Let r be w(-1). Suppose 4*v - 2*n - 3*n - 705 = 0, -3*n = 3. Calculate the greatest common divisor of r and v. 35 Let l(u) = 22*u**2 - 232*u - 1007. Let z be l(-22). Calculate the highest common factor of 75 and z. 15 Let h(n) be the second derivative of 19*n**3/6 - 21*n**2 - 5*n + 12. Let m be h(6). What is the highest common divisor of m and 16? 8 Let p be 6/(-30) + 2542/10. Suppose -3*o + z + p = -0*o, -5*z + 345 = 4*o. Let v be 15/(-360)*136*(-1 + 1 + -3). What is the greatest common factor of o and v? 17 Let y(o) = -o**2 + 48*o - 460. Let l be y(16). What is the highest common factor of 1742 and l? 26 Let h(c) = c**3 - 11*c**2 + 16*c - 10. Let g be h(10). Let u = g - 26. Suppose -2*q + u = -28. Calculate the highest common divisor of 39 and q. 13 Let f(a) = a**3 + 23*a**2 - 73*a + 218. Let i be f(-26). What is the highest common factor of i and 1640? 8 Suppose 0*f - 2*f - 89 = q, 4*q - f = -311. Let r = q - -88. Let o be r/(-6) - (-345)/6. Calculate the highest common divisor of 28 and o. 28 Suppose -418 + 4450 = 9*v. Suppose -800 = -13*a + v. What is the greatest common factor of 6 and a? 6 Suppose -35*y = 37*y - 687 - 2337. Calculate the greatest common factor of 1540 and y. 14 Let g be (90/24)/(1/4). Suppose 0 = -4*x - 4*t + 44, -3*t = 4*x - 27 - g. Suppose 0 = -5*p + 21 + x. What is the greatest common factor of p and 4? 2 Let w = 5767 + -5756. Suppose -15 = -3*z, -3*k = -k + 3*z + 117. Let g be (7/(-3))/(2/k). What is the highest common factor of w and g? 11 Suppose -7*x + 2*x = -4*x. Let u be x/(-3) - 117/(-3). Calculate the greatest common factor of u and 364. 13 Let b be (-7680)/36*54/(-45). What is the highest common factor of 496 and b? 16 Let n = -6103 - -7412. What is the highest common divisor of n and 121? 11 Let z be (-43*(-27)/(-45))/(16/(-80)). Calculate the highest common divisor of z and 15050. 43 Suppose -249429 = -34*p + 13*p - 162*p. Calculate the highest common factor of 1645 and p. 47 Let r = -141 + 180. Suppose -50 = -4*n + 2. What is the greatest common divisor of r and n? 13 Let t = -57655 + 57787. Suppose 16 = 5*k - 14. What is the highest common divisor of k and t? 6 Suppose 3*j + 152 = j - q, 5*q - 332 = 4*j. Let s be (j - -76)*(-1 + 1/(-2)). What is the highest common factor of 21 and s? 3 Let x be (63/18)/(28/32) + 115. Calculate the highest common factor of 9639 and x. 119 Let m(o) = -o**3 + 16*o**2 + 4*o - 67. Let c be m(16). Let j be ((-38)/6 - -1)*c. Calculate the greatest common divisor of j and 144. 16 Let f(d) = 210*d**2 - 95*d + 61. Let c be f(5). What is the greatest common factor of c and 108? 12 Let r(n) = -n**3 + 17*n**2 - 18*n + 42. Let c be (148/8 - 21/(-14)) + -4. Let u be r(c). What is the highest common factor of 205 and u? 5 Suppose 217*x - 221*x = -32. What is the highest common factor of x and 250? 2 Let o(f) = 4*f - 59. Let x be o(17). Suppose 2417 + 391 = x*v. What is the greatest common divisor of 4 and v? 4 Let t be ((-45)/(-9) + -7)*-17. Suppose 0 = 5*o - 2*x + 103, -x = 2*o + 3*x + 46. Let m be 2*(-2 - o/2). What is the greatest common divisor of m and t? 17 Let q(d) = d**3 - 19*d**2 + 84*d - 44. Let l be q(14). Calculate the highest common divisor of l and 2. 2 Let z = -15418 + 15803. What is the greatest common factor of z and 2541? 77 Let u be (1 - 2)*-41 - -6. Let c = u + -31. Calculate the greatest common factor of 72 and c. 8 Let x = -144 - -172. Suppose 0 = -2*p - 5*u + x, 0*p + 4*u + 14 = p. Calculate the highest common divisor of 14 and p. 14 Let r be 1023/4 + (-3)/4. Let t(n) = 6*n + 87. Let j be t(-12). Calculate the highest common divisor of r and j. 15 Suppose 25487*y = 25430*y + 146661. What is the highest common factor of y and 747? 83 Suppose 92*l - 129 = 85*l + 3*s, 3*l = -5*s + 93. Suppose 8*u - 6*u - 1806 = 0. Calculate the highest common divisor of u and l. 21 Let o(z) = -13*z + 7. Let d be o(-7). Suppose 40*a + 2*t = 41*a - 255, 25 = -5*t. Calculate the greatest common factor of d and a. 49 Let z(b) = 0*b**3 - 4*b**3 - 1 - b + 3*b**3 + b**2. Let l be z(-1). Let h = 180282 - 180280. Calculate the highest common divisor of h and l. 2 Suppose -4847 = -76*k + 67049. What is the greatest common divisor of 242 and k? 22 Suppose -6*t + 2*t = -4*b - 100, -4*t - 3*b + 100 = 0. Let y = 32 - t. Calculate the greatest common factor of y and 91. 7 Let p(v) = -16*v - 20. Let l be p(-3). Suppose 10693 = -l*o + 65*o. Calculate the highest common factor of 17 and o. 17 Suppose 4*m - 3*i = 90, -5*i = -m - 84 + 81. What is the highest common divisor of 5625 and m? 9 Let v = -244 + 247. Suppose 80 = 5*d + f, v*d + 3*f = 24 + 36. Suppose 2*b - 2*t = 3*t + 1, 0 = -5*t + 5. Calculate the highest common divisor of b and d. 3 Let d = 190 - 188. Suppose j = -5*p + 172, -d*j - 82 = -5*p + 84. Let x = 51 - 0. Calculate the greatest common factor of x and p. 17 Suppose -60 = 12*r + 3*r. Let z be 100 + 85/(-68) + (-5)/r. Calculate the highest common divisor of z and 40. 20 Suppose 10798 = 27*s + 2023. Calculate the highest common divisor of 845 and s. 65 Suppose 11*d - 2*l = 7*d - 822, -2*d + 3*l = 409. Let a be d/7*-5 - (-43)/(-301). What is the highest common divisor of 14 and a? 7 Suppose 390 = 4*p - w, 89*w - 85*w + 8 = 0. What is the greatest common factor of 25511 and p? 97 Let i = -33 + -146. Let l = 192 + i. What is the greatest common divisor of 299 and l? 13 Let k(l) = -18*l**3 + 11*l + 3. Let y be k(-3). What is the greatest common factor of 1216 and y? 152 Let z(x) = -2*x**3 + 15*x**2 + 27*x - 226. Let a be z(7). What is the greatest common divisor of 2868 and a? 12 Let k = -2884 + 24192. Calculate the greatest common factor of 28 and k. 28 Suppose 54 = 6*q - a + 4*a, 0 = 5*q - 4*a - 71. What is the highest common factor of 1265 and q? 11 Let f be (-4)/(-8) - (-26)/4. Let l(u) = 56*u**2 + 3129*u - 390. Let m be l(-56). Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
s**2 + m*s + r*s**3 + y*s**4 + a and give r. -7 Rearrange -128*n**4 - 142*n**4 + 4*n - 31*n**3 - 2 + 273*n**4 to the form o*n**2 + i*n + c + y*n**4 + v*n**3 and give v. -31 Rearrange (-k**2 + 0*k**2 + 4*k**2)*(-4*k + 5*k + 0*k) + 2*k**3 - 5 - 3808*k**2 + 2 + 3836*k**2 to f*k + a*k**2 + b + p*k**3 and give p. 5 Rearrange 1265*r**3 - 5 - 28*r + 17*r - 3182*r**3 + 11*r to d + k*r + n*r**2 + q*r**3 and give d. -5 Express 4495 + 169*t - 476*t + 152*t + 158*t as s + c*t and give c. 3 Rearrange -23 - 4*q**2 - 37*q**2 + q + 8*q**2 + 0*q**2 - 2*q**2 to z + v*q + s*q**2 and give z. -23 Express (30*k + 181*k + 133*k)*((0 + 1 + 2)*(-6*k + 4*k + 3*k) + (-3*k + 0*k + k)*(2 + 1 + 0)) as w*k + u + z*k**2 and give z. -1032 Express (3 - 2 - 3 + (-5 + 5 - 2)*(-1 - 3 + 1) + 1 - 5 + 3)*(38*a - 12*a + 9*a)*(6 - 9 - 8) in the form q*a + o and give o. 0 Express (-3*v + 3*v - 6*v)*(-4 + 3*v + 4) + v**2 - 5*v**2 - v**2 + v**2 - v + v + v**2 - 1 + 1 as d*v + g + s*v**2 and give d. 0 Express 609*z**3 - 775*z**3 - 1882*z**3 + (2*z - 2*z + 2*z**2)*(3*z - 2*z - 2*z) in the form p*z**3 + n*z**2 + c*z + a and give p. -2050 Rearrange 121*w**2 + 16*w**3 + w**4 - 120*w**2 - 141*w - 81*w - 16*w**3 to the form b + o*w + i*w**3 + g*w**2 + x*w**4 and give b. 0 Rearrange 2*a**4 + 2*a**4 - 3*a**4 + (5*a**2 - 57*a**2 + 26*a**2)*(-11 + 2*a**2 + 11) to the form l*a**4 + m*a**3 + b*a + w + x*a**2 and give l. -51 Express (34354 - 67102 + 34170)*(4*i - 5*i - i)*(-4 - 2 + 1) as q + t*i and give t. 14220 Rearrange (47 - 72 + 66)*(p + 0*p + 4*p + (4 - 2 - 1)*(-p - 3*p + 3*p))*(1 - 4 + 2 + 2 + 0 - 3 + (-4 + 3 + 0)*(-2 - 3 + 4) + 3 - 1 + 0) to h + g*p and give g. 164 Rearrange (-4*x + x + 5*x)*(1 + 0 - 3)*(89016 - 89016 + 788*x) - 3 + 3 + x**2 to a + s*x**2 + o*x and give a. 0 Express -p**2 + 48*p - 26 + 9 + 4*p + 14 + 65*p as s*p + x + v*p**2 and give x. -3 Rearrange (2*u - u - 3*u)*(34389*u**2 + 13494*u**2 - 8458*u**2) to the form v*u**3 + i + d*u + y*u**2 and give d. 0 Rearrange -26*y + 338*y - 23*y + 143*y - 4 + 3 to c + z*y and give c. -1 Express (326*z**2 - 6*z**3 + 139*z**2 - 97*z**2)*(1 - 6 + 2) as x*z + v*z**2 + t + s*z**3 and give v. -1104 Express (-19*f - 17*f - 29*f)*(-4 + 4 - 2)*(15 + 22 + 20) in the form q*f + c and give q. 7410 Rearrange -23800*y - 9206*y + 13276*y to the form q + a*y and give a. -19730 Rearrange -x**2 + 16*x**2 - 16*x**2 + 23 + 16 - 9*x + 54 to the form d*x + c + w*x**2 and give w. -1 Rearrange -471 - 1307*s**2 + 166 + 305 to z*s + d + o*s**2 and give o. -1307 Express (-p + 1 - 1)*(-2 + 138357*p - 138140*p + 2*p**2 - 3*p**2 + 22*p**3) as m*p + l*p**3 + z*p**2 + u + d*p**4 and give d. -22 Express (-2 + 2 - 1)*(k + 4*k - 4*k)*(215*k**2 + 7439 + 7450 - 14980) in the form w*k + t*k**3 + g*k**2 + d and give t. -215 Express 156836*j + 36*j**2 - 91*j**2 - 156836*j + 20*j**3 - 3*j**3 as t + g*j**3 + n*j + h*j**2 and give g. 17 Rearrange 9*q**2 - 3681*q**3 - 2 + 8 + 6*q**2 + 3 + 3679*q**3 to the form a*q**3 + z + i*q**2 + r*q and give r. 0 Rearrange 30*y**2 - 5 + 32*y**2 + 1 - 58*y**2 to the form q*y + w*y**2 + r and give r. -4 Rearrange (2*h + h - 2*h)*(0 + 2 - 4 + (-2 + 5 + 0)*(4 - 4 + 4))*(-1 + 8 + 0)*(-14 - 3 - 79) to the form k + m*h and give m. -6720 Express (-306*p**2 - 54*p + 292*p**2 + 51*p - 1)*(-11*p**2 + 33*p + 1 - 33*p) as h*p + w + v*p**4 + t*p**2 + a*p**3 and give h. -3 Express -2*w**3 - 4*w + 10*w + 59057 - 59024 + w in the form o*w + u*w**3 + k + r*w**2 and give u. -2 Rearrange -2*z**3 - 4*z**3 - 5*z**2 - 7665*z + 7666*z - 16 + 3*z**2 - 3*z**3 to r*z**3 + h*z**2 + p*z + m and give h. -2 Rearrange -76*f**3 + 58*f**2 - 80*f**3 + 2 + 158*f**3 + 704*f**2 to g*f**3 + k + a*f**2 + d*f and give g. 2 Rearrange -2*z**2 + 42704*z + 631*z**3 - 21347*z - 21352*z + 2 to the form s*z**3 + l*z**2 + h*z + o and give o. 2 Express 2 + 2671*g - 5 - 4 + 4 - 1050*g as r*g + w and give w. -3 Rearrange -2000*a + 5854*a + 4622*a to s + m*a and give s. 0 Rearrange (-d**2 + 2*d**2 - 2*d**2)*(-1 + d + 1) - 97485 - 600*d**3 + 177*d**3 + 97480 to the form o*d**3 + z + n*d**2 + i*d and give o. -424 Express (-7*k + 7*k + 5*k)*(429*k**2 + 411*k**2 + 852*k**2) in the form b*k**3 + p*k + z*k**2 + j and give b. 8460 Express 7347*a - 830*a - 5 + 5 + 5447*a in the form x*a + k and give x. 11964 Rearrange 264*r**2 - 694 + r**3 - r - 267*r**2 + 617 to the form p*r**3 + w*r + z + t*r**2 and give t. -3 Express (-5*w - 101*w**2 - 23*w**2 + 5*w)*(13*w + 7*w + w)*(1 + 2 - 4) as h*w + x*w**3 + y + t*w**2 and give t. 0 Express -1167*p**2 + 2346*p**2 - p - 20 + 4*p**3 - 1181*p**2 as v*p + z*p**2 + l + r*p**3 and give r. 4 Express (23*t**2 - 34*t**2 + 65*t**2)*(-4*t - 4*t + 5*t) + (2*t + 4*t - 3*t)*(0 + 2*t**2 + 0) in the form j*t + a*t**3 + n + m*t**2 and give a. -156 Express -5 - 5*m**3 + 5 + (-306*m**2 + 310*m**2 + 0*m**3 - m**3 + 2)*(0 - 45 - 16) as x*m**3 + a*m + h + d*m**2 and give a. 0 Rearrange -4 + 2*i**3 + 2*i**2 - 2 - 33*i**3 - i - 2*i**3 to m*i**2 + l*i + n*i**3 + b and give b. -6 Rearrange -146*b**2 + 288*b**2 + 2 + 793*b - 141*b**2 to q*b + l*b**2 + p and give p. 2 Rearrange 300*m + 5108*m + 1542*m to the form j + i*m and give i. 6950 Rearrange 273*g**4 - 46*g**4 - 6*g - 69*g**4 - 29*g**4 - 27*g**4 - 5*g**2 + 2 to the form h*g**3 + j*g + m*g**2 + x*g**4 + k and give j. -6 Express 3*t - 76*t**4 - 5*t**2 + 1558*t**3 + 402*t**4 - 1559*t**3 in the form f*t + x*t**4 + r*t**2 + n*t**3 + b and give r. -5 Express -t + 939 + 152 - 4794 in the form s + r*t and give s. -3703 Express 38 + 74*x**2 - 75*x**2 + 2*x - 4*x as o + u*x**2 + m*x and give o. 38 Express (8 + 6 + 1)*(-1 - 138 - 17)*(0*s + 0*s - s**3) in the form w*s**3 + q*s**2 + p*s + y and give w. 2340 Express (-12 - 261*x + 266*x - 48)*(-4*x + 6 - 6) in the form f*x**2 + j*x + g and give f. -20 Rearrange (-2*f**2 + 2*f**2 - 6*f**4)*(2 - 4 + 0) - 2*f**4 - 282896*f + 282896*f + 1396*f**2 to the form c*f + t*f**3 + u + v*f**4 + i*f**2 and give i. 1396 Express (4*z - z - 5*z)*(0*z - 2*z + 5*z) - 1302 + 58*z**2 + 1302 + 4*z in the form u*z**2 + g + m*z and give u. 52 Express -13988*i + 25412*i - 1 + 1 in the form b + w*i and give w. 11424 Express -569*r**2 - 2 - 4*r + 0*r + 566*r**2 + 2*r - 14 in the form h*r**2 + x*r + n and give x. -2 Rearrange -2*r + 1630*r**2 + 3*r + 3*r + 334*r**2 - 2 - 2*r to the form z*r**2 + t + n*r and give n. 2 Rearrange r**4 - 4*r + 4*r + (0*r**3 + 4*r**3 - r**3)*(57*r - 152*r - 153*r + (-2 - 2 + 3)*(2*r + 0 + 0)) to l*r**3 + f*r + d*r**2 + a + w*r**4 and give w. -749 Express (-1 + 2*m + m + 2*m)*(-1 + 2 + 1)*(-176*m**2 + 174*m - 172*m + 74*m**2) in the form f*m + j*m**2 + i*m**3 + d and give i. -1020 Rearrange -2059278*d**3 + 2059276*d**3 - d**2 - 440*d**4 + 2*d - d**2 + 1 to the form i*d**3 + l*d + h*d**4 + r + k*d**2 and give k. -2 Rearrange (-8 - 10 + 8)*(t - 2*t + 3*t)*(-8710*t + 4369*t + 4204*t - 2*t**2) to n*t**2 + g + a*t + l*t**3 and give l. 40 Rearrange 2341*f + f**2 + 0 + 0 + 2950*f + 0*f**2 to j + x*f + o*f**2 and give x. 5291 Rearrange -3557*p + 11737078 - 11737078 to w*p + g and give g. 0 Rearrange 12105*v + 734*v - 2498*v to t*v + u and give t. 10341 Express 4*k**2 - 46 - 2*k**3 + 42 + 83 + 288 in the form p*k**2 + x*k**3 + a + u*k and give x. -2 Express (101*k + 54*k - 254*k)*((129 - 34*k - 129)*(k + 1 - 1) + 0*k + k**2 + 0*k) as a*k + m*k**2 + o + j*k**3 and give j. 3267 Express 5 + 34*i**3 - i**3 - 2*i + 35*i**3 + 0 + 36*i**3 as a*i**3 + y*i + d*i**2 + f and give a. 104 Express 2*a - 4*a**2 - 18339*a**4 + a**2 + 18343*a**4 - 5*a - 2*a**2 - 1 as s*a + d*a**3 + q*a**2 + n*a**4 + x and give x. -1 Rearrange 10041*i**4 - 5321*i**4 - 9933*i**4 - 1868*i**4 + (0*i**4 + 3*i**4 - 2*i**4)*(-4 + 2 + 1) to g*i**3 + y*i + f + w*i**4 + l*i**2 and give w. -7082 Express (1 - 5 + 3)*(-4 - 2*b**3 + 4) - b**3 + b**3 - 3*b**3 + 301381 - 542*b**3 - 301381 in the form g*b**2 + j + h*b**3 + y*b and give h. -543 Express 66*u**2 + 16 - 2*u**3 - 199*u - 19 + 55*u**2 + 9 + 198*u as q + a*u + v*u**2 + p*u**3 and give q. 6 Express -12*b**2 + 43*b**2 - 9*b**2 + 4 + 49*b**2 + 11*b**2 + (b + 2*b - b)*(5*b + 3*b - 7*b) as h*b + j*b**2 + a and give j. 84 Express (-1 + 0 + 3)*(-42687 - 16752*b + 21341 + 21346) as g + u*b and give u. -33504 Rearrange -r**4 - r**4 + r**4 + 65 + 2*r**4 + 22 + 13 + (-r**3 + r**3 - 2*r**3)*(0 - 2*r + 0)
{ "pile_set_name": "DM Mathematics" }
ithout replacement from {o: 1, a: 1, m: 2, f: 1, i: 2}. Give prob of picking 1 m and 1 a. 2/21 Three letters picked without replacement from itttiittazii. What is prob of picking 1 t, 1 i, and 1 z? 5/44 Three letters picked without replacement from dxdsldlldldldddxsddd. What is prob of picking 2 d and 1 x? 11/114 Two letters picked without replacement from zqu. Give prob of picking 1 q and 1 z. 1/3 What is prob of picking 1 z and 3 i when four letters picked without replacement from iiiziiizizzziiiiizi? 143/323 Two letters picked without replacement from gxauxbxxaxax. Give prob of picking 1 u and 1 b. 1/66 Calculate prob of picking 1 r, 1 y, 1 l, and 1 i when four letters picked without replacement from iloorlkyi. 2/63 What is prob of picking 2 u when two letters picked without replacement from uuu? 1 Three letters picked without replacement from {o: 1, c: 3, r: 2, x: 2, l: 2, k: 2}. Give prob of picking 1 r, 1 c, and 1 l. 3/55 Three letters picked without replacement from {z: 7, a: 6}. Give prob of picking 3 z. 35/286 What is prob of picking 3 c when three letters picked without replacement from {l: 1, c: 12}? 10/13 What is prob of picking 1 f and 3 s when four letters picked without replacement from {b: 1, f: 10, s: 7, x: 2}? 70/969 Two letters picked without replacement from {p: 3, o: 5}. What is prob of picking 1 p and 1 o? 15/28 Three letters picked without replacement from ffqffrffqqfufufxfur. Give prob of picking 1 f, 1 q, and 1 r. 20/323 What is prob of picking 1 t, 1 s, and 1 l when three letters picked without replacement from {s: 1, q: 1, b: 7, t: 4, l: 2}? 8/455 Three letters picked without replacement from yuyuuyyyyy. Give prob of picking 3 y. 7/24 Calculate prob of picking 1 d and 1 h when two letters picked without replacement from dhhhishiihihiiddhd. 28/153 Two letters picked without replacement from aaa. Give prob of picking 2 a. 1 Three letters picked without replacement from {i: 5, h: 14}. What is prob of picking 1 h and 2 i? 140/969 Four letters picked without replacement from fvfffbbbfmrvufb. Give prob of picking 2 b and 2 f. 6/91 What is prob of picking 1 h, 1 n, and 1 f when three letters picked without replacement from {n: 1, h: 1, f: 1, s: 1, g: 1}? 1/10 What is prob of picking 2 r when two letters picked without replacement from oooooioiiiroriooioo? 1/171 Three letters picked without replacement from {z: 2, p: 1, d: 1, v: 4, e: 3}. Give prob of picking 1 d and 2 z. 1/165 Two letters picked without replacement from qporr. Give prob of picking 2 r. 1/10 Four letters picked without replacement from espvssspppppsspp. What is prob of picking 2 p, 1 e, and 1 v? 1/65 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 7, m: 9}. 21/40 Calculate prob of picking 2 v and 2 u when four letters picked without replacement from vvuvvvvvuvvuvuvvuuu. 231/646 What is prob of picking 2 w and 2 y when four letters picked without replacement from wyywww? 2/5 Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {j: 1, b: 3, k: 8, s: 3, g: 1, y: 2}. 1/51 Three letters picked without replacement from {c: 5, y: 8, f: 2}. What is prob of picking 1 c and 2 y? 4/13 What is prob of picking 2 v and 2 m when four letters picked without replacement from pvvpmmvvommov? 12/143 Three letters picked without replacement from yvjevjttyjeyt. What is prob of picking 1 j, 1 t, and 1 v? 9/143 What is prob of picking 1 a and 1 g when two letters picked without replacement from awwmwwawttmttgghmtmg? 3/95 Two letters picked without replacement from bpnbbnhbbbonphn. Give prob of picking 2 b. 1/7 Three letters picked without replacement from {h: 4, g: 8, b: 8}. Give prob of picking 2 g and 1 h. 28/285 Calculate prob of picking 2 y when two letters picked without replacement from {i: 3, y: 7}. 7/15 What is prob of picking 2 c when two letters picked without replacement from {a: 2, c: 8}? 28/45 Two letters picked without replacement from {m: 1, i: 3}. Give prob of picking 1 i and 1 m. 1/2 Calculate prob of picking 2 a when two letters picked without replacement from aaat. 1/2 Three letters picked without replacement from vhjvjwwkikiwiw. What is prob of picking 2 w and 1 h? 3/182 Two letters picked without replacement from prrpdgq. Give prob of picking 1 g and 1 r. 2/21 Three letters picked without replacement from dldlll. Give prob of picking 1 l and 2 d. 1/5 Four letters picked without replacement from {s: 6, e: 3, d: 2, g: 3, l: 4}. Give prob of picking 2 s and 2 l. 1/34 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from poytptkoktyybt. 8/91 Calculate prob of picking 2 y when two letters picked without replacement from nyynmnmeynm. 3/55 Four letters picked without replacement from {d: 10, t: 2, g: 4}. What is prob of picking 3 d and 1 g? 24/91 Calculate prob of picking 1 m, 1 r, and 1 u when three letters picked without replacement from {r: 1, d: 2, u: 3, s: 5, m: 5}. 3/112 Two letters picked without replacement from {e: 4, c: 1, a: 1, r: 4, j: 1}. What is prob of picking 1 a and 1 e? 4/55 Three letters picked without replacement from skfjkffxxf. What is prob of picking 1 s and 2 f? 1/20 Calculate prob of picking 3 h and 1 g when four letters picked without replacement from {j: 4, h: 5, g: 1, x: 1}. 1/33 Two letters picked without replacement from qcqcqoqojjrqjq. What is prob of picking 1 o and 1 q? 12/91 Four letters picked without replacement from rnshsdsrss. What is prob of picking 1 d, 2 r, and 1 n? 1/210 Four letters picked without replacement from {t: 1, p: 3, y: 4, x: 2}. What is prob of picking 2 y, 1 p, and 1 t? 3/35 What is prob of picking 1 i, 1 q, 1 c, and 1 t when four letters picked without replacement from {q: 1, y: 1, t: 1, i: 1, c: 2, h: 2}? 1/35 Three letters picked without replacement from {s: 7, c: 2, q: 1, x: 3, j: 1}. Give prob of picking 1 x and 2 s. 9/52 Two letters picked without replacement from qbbrssbllbqlssbbsbss. Give prob of picking 1 q and 1 s. 7/95 Four letters picked without replacement from kjljkllk. What is prob of picking 1 k and 3 l? 3/70 Two letters picked without replacement from fyyyyyyy. What is prob of picking 1 f and 1 y? 1/4 Two letters picked without replacement from {e: 2, k: 1, l: 4}. Give prob of picking 1 k and 1 l. 4/21 Calculate prob of picking 1 x and 1 f when two letters picked without replacement from xxxxxxxxfxxxxxxxxxx. 2/19 Calculate prob of picking 2 k, 1 b, and 1 f when four letters picked without replacement from {k: 2, b: 2, a: 7, z: 4, f: 2}. 1/595 Three letters picked without replacement from {n: 7, u: 1}. What is prob of picking 3 n? 5/8 What is prob of picking 1 y and 1 q when two letters picked without replacement from yqyypmypqmypympyyyp? 2/19 Two letters picked without replacement from {x: 2, a: 1, v: 4, p: 3}. What is prob of picking 1 x and 1 a? 2/45 What is prob of picking 1 j and 1 s when two letters picked without replacement from {m: 6, x: 1, v: 3, s: 3, j: 2, b: 4}? 2/57 Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {c: 4, q: 3, s: 1, g: 2, p: 1}. 4/55 Four letters picked without replacement from {f: 1, v: 5, r: 1, y: 8, w: 5}. What is prob of picking 1 f, 1 y, and 2 w? 16/969 Two letters picked without replacement from yyhbybybyyyyybbyhbmm. What is prob of picking 1 b and 1 m? 6/95 What is prob of picking 1 j and 1 w when two letters picked without replacement from jijyhhwwwjwjjwwjjj? 16/51 Three letters picked without replacement from lhllhhhh. Give prob of picking 3 l. 1/56 Four letters picked without replacement from {v: 3, o: 4, e: 1, k: 3}. Give prob of picking 4 o. 1/330 Four letters picked without replacement from stnbubosbbobbosnb. Give prob of picking 1 o, 2 n, and 1 u. 3/2380 Two letters picked without replacement from gngggnngnggwgw. What is prob of picking 1 n and 1 g? 32/91 Two letters picked without replacement from puppubupphuuuupppp. Give prob of picking 1 b and 1 h. 1/153 Four letters picked without replacement from {v: 4, o: 3, y: 3, g: 4, h: 2}. Give prob of picking 1 y and 3 v. 3/455 Two letters picked without replacement from {t: 9}. What is prob of picking 2 t? 1 Three letters picked without replacement from {d: 2,
{ "pile_set_name": "DM Mathematics" }
et r be (5/(-15))/((-2 - -3)/75). Does 10 divide 36/((-15)/r*4/6)? True Suppose 2*x + 23 = 5. Does 16 divide (-525)/(-20)*(24/x)/(-1)? False Let o = 267 + 272. Does 11 divide o? True Suppose -16 = -4*l + 4*g, -l + 4*l - 16 = 2*g. Let o = 25 - l. Does 4 divide o? False Let f(v) = -v**2 - 10*v - 11. Let a(r) = -3*r - 4. Let i(o) = 7*a(o) - 2*f(o). Let y be i(-2). Suppose y*n - 208 - 96 = 0. Is n a multiple of 24? False Suppose -2 = -3*q - 20. Is 18/(-4)*16/q a multiple of 4? True Suppose j = 2*m + 23, -11 = 4*j + 4*m - 103. Let n = 59 - j. Is n a multiple of 4? True Suppose -5*p = 3*o - 1488, -5*p - o = -p - 1189. Suppose w - p = -2*w. Does 27 divide w? False Let y be 67/(-3) + 3/9. Let m = y + 36. Let s = m - 4. Does 5 divide s? True Is ((-9144)/(-9))/8 - (-3 + 0) a multiple of 26? True Suppose -2*v - 4*j - 6 = j, -4*v - 3*j = -2. Suppose 5 + 7 = -4*h, -v*h = -3*p + 33. Does 4 divide (-15)/p*(-24)/4? False Suppose -5*m - 106 = -2061. Suppose 4*o = -103 + m. Let z = o - 21. Is z a multiple of 17? True Suppose 0 = 6*z - 5*z - 60. Suppose -3*f = -7*f + z. Does 2 divide f? False Let s be 225/(-6)*(-4)/6. Let n = s - 21. Suppose u - 170 = -n*u. Is u a multiple of 6? False Suppose -16 = -2*r + 20. Suppose -35 = 11*y + 196. Let b = r - y. Is 13 a factor of b? True Suppose -224 = -2*j - 112. Does 8 divide j? True Let c(o) = -3*o + 4. Let f be c(2). Is f/((12/4)/(-30)) a multiple of 10? True Let a(j) be the first derivative of -j**4/4 + 20*j**3/3 - 29*j**2/2 + 39*j + 28. Does 16 divide a(18)? False Suppose t - 12 = 5*t, -17 = -2*k + 5*t. Is 8 a factor of 4 - -45 - k/1? True Let i = 1057 + -715. Does 18 divide i? True Suppose -172 = -40*o + 6068. Is 12 a factor of o? True Let s be 2*-21*(-18)/7. Suppose -3*f + s = -15. Suppose -3*z = k - 22, f = 2*k - 0*z + 5*z. Is k a multiple of 13? True Let i(g) = -g**3 + 8*g**2 + 12*g - 7. Suppose -2*y + 3*o = -11, 0 = -3*o - 3. Suppose c - 8 = -c, p - 3*c + y = 0. Is i(p) a multiple of 17? False Let v(h) = 4*h - 1 - 8*h + 1. Let a be v(-3). Suppose -2*n + 0*n + a = 0. Is n a multiple of 6? True Suppose -5*j = -0*j - 10. Suppose -5*i = -j*i + 4*y - 55, 4*i - 125 = 5*y. Is i a multiple of 25? True Let z(c) = -89*c - 93*c + 249*c - 17. Does 48 divide z(6)? False Suppose -i - 104 = -4*d - 4*i, -3*d + i + 78 = 0. Suppose 0*y + 4*y - d = 3*p, y - 3*p - 2 = 0. Suppose -x - x = -y, -380 = -4*o + 3*x. Is o a multiple of 14? True Let l(j) = -81*j**3 + 2*j**2 + 2*j + 1. Is l(-1) a multiple of 34? False Suppose -u + s - 1 = -2, -10 = -u - 2*s. Is (-99)/(u - 7 - -2) a multiple of 9? True Let c(y) = 19*y - 47. Does 11 divide c(19)? False Suppose 0*w = 2*b + 3*w - 1947, 5*b + 5*w - 4865 = 0. Is 54 a factor of b? True Suppose -6*s + 13929 = 4395. Is s a multiple of 46? False Let a(z) = -7*z - 6. Let n(u) = -5*u**2 + 2*u + u**2 + u**3 - 3 + 0. Let s be n(3). Is 12 a factor of a(s)? True Suppose 1464 = 2*b + 4*v, -3*b + 2*v + v + 2178 = 0. Let j = -491 + b. Is j a multiple of 36? False Let x(i) = 3*i**2 - i. Let m be x(-1). Suppose 3*u = 0, -m*s + 3*s + u - 37 = 0. Let a = s - -79. Is a a multiple of 14? True Let o be (0/3)/((-2)/(-1)). Suppose o = -5*j - 266 + 721. Is 31 a factor of j? False Let h(d) = -d - 15. Let b be h(-15). Suppose b = 2*y + 3*y + 25. Let q = 15 + y. Is 3 a factor of q? False Suppose 5*l - 14 = 1. Let f be -1 - (1 + (-12)/l). Suppose -n + 6 = f*v, n = -4*n - v + 75. Is 16 a factor of n? True Suppose -h = 3*h - 76. Suppose h = 3*v + 4. Is 9 a factor of 1/(v/(-2))*-45? True Is ((-95931)/18)/17*16/(-12) a multiple of 26? False Suppose 0 = -5*d + 11 - 1. Let o be 13 - 1/((-1)/d). Let x = o - 7. Is 4 a factor of x? True Is 1/(-7) + (-28600)/(-182) a multiple of 5? False Let d(v) be the second derivative of v**4/4 - v**3/2 + 3*v**2/2 + v. Suppose -7 - 5 = -4*c. Is 21 a factor of d(c)? True Let y(h) be the second derivative of 3*h**5/20 - h**3/6 + h**2/2 + h. Let v be y(1). Suppose -14 - 37 = -v*f. Is 7 a factor of f? False Suppose y - 6 = -y - 2*d, -3*d = -3*y + 39. Suppose -y = -p + 8. Suppose p + 8 = 4*b. Does 2 divide b? True Suppose 6*z - 3*z - 9 = 0. Suppose 21 = j + 8. Let a = j - z. Is 2 a factor of a? True Let m be 4/(-18) - (2 - 79/(-9)). Is 15 a factor of 3252/22 + (-2)/m? False Suppose -5*z + 5*l + 125 = 0, -4*l = 2*z + l - 71. Let u = z - 61. Is 26 a factor of (52/(-3))/(22/u)? True Let v = 106 + -332. Is (-12 - -14)*v/(-4) a multiple of 9? False Let i = 724 - 569. Is i a multiple of 10? False Let f(a) = -2*a**2 - 22*a + 1035. Does 23 divide f(0)? True Is 33 a factor of (-36)/6 - -374 - (4 - -1)? True Suppose t = 12*t. Suppose 6*z + 9 - 249 = t. Does 5 divide z? True Let x(g) = 5*g + 21. Let o be x(-15). Let c be (-3 + (-7)/(-2))*-2. Is 9 a factor of (-4)/(-8)*o/c? True Let o be -1*25*108/(-90). Suppose -o = -v + 5. Suppose -2 = 3*p - v. Is p a multiple of 11? True Suppose 5*r = -y - 3*y + 62, -5*r = -4*y + 82. Is 44 a factor of 22/3*(30 - y)? True Let d = 158 + 247. Is 2 a factor of d? False Suppose 5*u = -198 + 38. Let g = 50 + u. Is 13 a factor of g? False Let d(r) be the second derivative of 0 + 1/2*r**4 - 1/20*r**5 - r**2 - 4*r + 1/2*r**3. Is d(4) a multiple of 14? True Let m(r) = -29*r**3 - 2*r**2 + 2*r + 3. Is m(-1) a multiple of 4? True Suppose 0 = 24*n - 35*n + 693. Does 15 divide n? False Let w(p) = 12*p**2 - p + 26. Is 13 a factor of w(5)? False Let v(i) = -5*i + 72. Is 6 a factor of v(0)? True Does 67 divide 946/14 + 15/((-105)/4)? True Let z(p) = p**3 + 7*p**2 + 13*p + 3. Let g be z(-5). Is g/(-24) - 23/(-2) a multiple of 6? True Let t = 44 + -32. Let v = t - -87. Does 9 divide v? True Let x(d) = d**2 + 5*d - 27. Let z be x(6). Let p = z + 39. Is p a multiple of 12? False Suppose 5*j - 2*j - 5*a = 12186, -20264 = -5*j - 7*a. Is j a multiple of 131? False Let x be ((-20)/60)/((-1)/12). Suppose -5 = -r, 5*l + 10 = x*r - 0*r. Is l a multiple of 2? True Let k be ((-6)/(-9))/(6/27). Let q = 5 - k. Suppose q*p - p = 41. Is p a multiple of 12? False Does 61 divide (1704/(-60) - -4)*100/(-2)? True Let t(w) = -2*w**2 - 5*w + 4. Let f be t(6). Let k = f - -127. Does 2 divide k? False Suppose 0 = i + 4*b - 259, 26*i - 22*i = 3*b + 1036. Is 37 a factor of i? True Let l(f) = f**3 + f + 2. Let t be l(3). Suppose -2*r - 24 = 3*n, 0*n - 33 = 3*n + 5*r. Let k = n + t. Does 13 divide k? True Suppose -2*g + 50 = 3*g. Let o be (228/(-20))/((-2)/g). Suppose 2*v - o = v. Is v a multiple of 19? True Suppose -7*q - 6 = -9*q. Let g be q*-1*32/(-24). Suppose 61 = 5*i - g*i. Does 20 divide i? False Let h(z) = -z**2 - 19*z + 28. Let k be 3 - (14 - (-1)/(2/4)). Is h(k) a multiple of 21? False Suppose 0 = 3*l - 3*i - 435, -4*l - 2*i + 882 = 290. Is l a multiple of 21? True Is 24 a factor of 1858/8 + (-69)/(-92)? False Suppose -41 = -d + 243. Does 18 divide d? False Let b be 8/(-20) - (-687)/5. Suppose -60 = -t + 4*d, 4*t - 5*d - 70 - b = 0. Is 12 a factor of t? True Let h(d) = -3*d**2 - 36*d - 18. Is 39 a factor of h(-8)? True Is 49 a factor of -40*13724/(-1175)*5/2? False Let k = -17 - -140. Is k a multiple of 2? False Let g(n) = 40*n**2. Let v be 1 - (-3 - (-5 + 2)). Let q be g(v). Let a = q - 29. Is a a multiple of 3? False Let o(m) = m**3 + 9*m**2 + 9*m + 12. Let w be o(-7). Suppose n - 23 = w. Is n a multiple of 14? True Suppose -3*k = 2*y - 1094, 2232 = 4*y - 9*k + 4*k. Is y a multiple of 55? False Let x be 12/66 + (-20)/(-11). Suppose -x*c - c - 191 = -4*b, 2*c + 186 = 4*b. Suppose -3*z = -116 + b. Is 5 a factor of z? False Let s(u) = -u**3 - 7*u**2 + 15*u + 18. Suppose -2*c + 0*c = 20. Is 42 a factor of s(c)? True Suppose 207*z - 211*z + 8528 = 0. Does 13 divide z? True Suppose -3 = 7*z - 4*z. Is (13/(-26))/(z/410) a multiple of 27? False Suppose 45*a - 49*a + 8 = 0. Suppose a*t - 3*s - 136 = -0*s, -t = -s - 67. Does 11 divide t? False Suppose 108 + 156 = 12*i. Suppose -f + z + 23 = 0, f - 2*z - i + 1 = 0. Does 5 divide f? True Suppose 7 = -2*v + 17. Suppose 4*u - 492 = 4*n, -16 - 4 = -v*n. Is 21 a factor of u? False Does 13 divide (-3352)/(-6 + -2) - (4 + -1)? True Let k(p) = p**3 - 5*p**2 - 9*p + 9. Let g = 83 - 76. Is k(g) a multiple of 3? False Does 37 divide ((-81)/405)/(1/(-15815))? False Let i(n) = 107*n**2 + 2*n + 8. Is 108 a factor of i(4)? True Let u(w) = 66*w**2 - 23*w + 7. Is 14 a factor of u(3)? T
{ "pile_set_name": "DM Mathematics" }
) Simplify (((y*y**1)/y)**(-37)/((y*y**(-2/13))/y**(-7)))**(2/89) assuming y is positive. y**(-1166/1157) Simplify s**(-1/10)*s**(-7)*(s/s**(3/2)*s)**(-3) assuming s is positive. s**(-43/5) Simplify (p**14*p**(-7/5)/p)**20 assuming p is positive. p**232 Simplify s**(-1/17)*s*s**(-19)*s*((s**(-4)*s)/s)**(-46) assuming s is positive. s**(2838/17) Simplify ((r/(r*r/((r**(20/11)*r)/r)))**(25/2))**(-27) assuming r is positive. r**(-6075/22) Simplify (((((w**(-2/3)/w)/w)/w)**(-29))**(-2))**(-50) assuming w is positive. w**(31900/3) Simplify ((v**(-4/7)*v*v**(-10)/v)**28)**(1/6) assuming v is positive. v**(-148/3) Simplify (c**12*c/(c/((c**4*c)/c)))/(c*c*(c*c*c*c*c**(-3)/c*c*c)/c)**49 assuming c is positive. c**(-131) Simplify (h**4*h/h**(-1/4))/(((h*(h**(-7/6)*h)/h)/h)/(h**(-2)*h)) assuming h is positive. h**(65/12) Simplify ((v*v**(1/3))**33/(((v/(v/((v**8*v)/v)*v*v*v)*v)/v)/(v**8/v)))**3 assuming v is positive. v**138 Simplify (y/y**(-12))**(-33)/(y**(3/13)*((((y/((y/y**(-1/8))/y))/y)/y)/y)/y) assuming y is positive. y**(-44315/104) Simplify (h/h**(-11))**(1/34)/(h/h**(-1/5))**45 assuming h is positive. h**(-912/17) Simplify x*x/(x**(-2)/x)*(x**(-6)*x)/x*(x/x**(-3)*x)/x*x**(-2/13) assuming x is positive. x**(37/13) Simplify g**(-5/8)*((g/(g*g*g/(g/(g**(-2/33)/g)*g)))/g)/g*(g/(g/(g*(g*g**(-10))/g)))/(g/(g*g*g**(-1/24))) assuming g is positive. g**(-317/33) Simplify ((j**(-3/7))**(-31)*j**(-1/4)*((j*j**(-1/13))/j)/j*j)**(4/15) assuming j is positive. j**(4717/1365) Simplify i/(i*i**(-5/2))*i*i/i**14*i**(-2)*(i/i**(-6/5))/i assuming i is positive. i**(-103/10) Simplify (k/k**17*k/k**18)/(k**(-15)*k/(k**4*k)) assuming k is positive. k**(-14) Simplify (((i/(i/(i*i**18*i*i)))/i**(-18))**(-5/7))**33 assuming i is positive. i**(-6435/7) Simplify ((t/(t*t**(2/5))*t)**(-2/5)/(t*(t/(t/((t*t/(t/(t*(t*t**2)/t)))/t)))/t)**(2/31))**13 assuming t is positive. t**(-4368/775) Simplify i**(-3/4)/i*i**(-8)*(i*i*i**3)**(-2/25) assuming i is positive. i**(-203/20) Simplify l**(-3/5)/(l**(-2)*l)*(l**3)**(1/88) assuming l is positive. l**(191/440) Simplify ((i*i**(-2/7))/i)**17*i**11*i*i**(2/13) assuming i is positive. i**(664/91) Simplify ((h**(-1/2)*h)**(-2)/(h/h**9*h**0))**6 assuming h is positive. h**42 Simplify p**6*p**(-10)*p**(-6)/(p/(p*p**14*p)) assuming p is positive. p**5 Simplify (((g/g**4*g)/g*g*g**(1/3))/((((g*g**(-2/3))/g)/g)/g**2))**(-39) assuming g is positive. g**(-78) Simplify (q/q**(2/9))**(-10)/(q**(1/23)*q*q*q/(q*q/(q*q/q**(-17))*q*q)*q*q) assuming q is positive. q**(-5759/207) Simplify (o/(o/(o/o**11))*o/(o/o**(1/5)))/(o**(2/7))**(-34) assuming o is positive. o**(-3/35) Simplify (m**(5/4)/(m**(-2/23)/m))/(m**(2/11)*m/m**5) assuming m is positive. m**(6229/1012) Simplify (w**8/w**(-4/7))/(w**(-14)*(w*w**(4/11))/w) assuming w is positive. w**(1710/77) Simplify ((c**(-1)/c**(-1/13))/(c*(c/(c*c*c**(2/13)*c*c))/c*c**9))**(-49) assuming c is positive. c**(4312/13) Simplify ((l/(l**(2/11)*l))/l**4*l**(-1/6)/(l/(((l**(-1/2)*l)/l)/l)))**(-43) assuming l is positive. l**(9718/33) Simplify (g**9*g**6)/(g**1)**(4/11) assuming g is positive. g**(161/11) Simplify (((i**(-1/15)*i)**(-6/29))**(-15))**(-2/51) assuming i is positive. i**(-56/493) Simplify ((m**(-1/3)/(((m**(-2/9)/m)/m)/m*m))/(m/((m*m**(-9))/m)*m*m**6))**(-2/93) assuming m is positive. m**(272/837) Simplify k/k**(-1/3)*k*k/(((k*(k/k**(-3/8))/k)/k)/k)*k**(-29)/(k**(4/5)*k) assuming k is positive. k**(-3221/120) Simplify (((f*((f*f**30)/f)/f)/f*f)**(-43))**19 assuming f is positive. f**(-24510) Simplify (p**(-10)/p**(-18))/((p**(5/4)/p)/(p**(-9)/p)) assuming p is positive. p**(-9/4) Simplify ((i*i**(1/5)*i**2)/(i**(-5/4)/((i/i**(1/7))/i)))**(-5/7) assuming i is positive. i**(-603/196) Simplify ((z/(z/((z*z*z/((z**(-3)*z)/z))/z*z*z))*z)/z*z*z**(-1/3)*z)/(z*z**1*z**(-10)/z) assuming z is positive. z**(53/3) Simplify (k*k**(-1/10)*k)/(k*k**(4/21)*k)*k**16/(k*k**(-7)) assuming k is positive. k**(4559/210) Simplify f**(-7/4)*f*f**11*f*(f**1*f*f)**22 assuming f is positive. f**(309/4) Simplify ((g*g**(10/7))**25)**(-5/8) assuming g is positive. g**(-2125/56) Simplify (v**(4/7)/v)**(-33)*(v**(-9/2)/v)/((v*v/v**(-14/5))/v*v) assuming v is positive. v**(269/70) Simplify (h*(h*h*h**(-2)*h)/h)**(2/59)*((h/(h/(h/(h**(-3)/h))))/h)/h*h**(1/6) assuming h is positive. h**(1133/354) Simplify t**(-1)/t**(1/16)*t**11*t*t/(t/(t/t**(-14)*t)) assuming t is positive. t**(431/16) Simplify y**(-20)*y/(y/(y**(-1/6)*y))*y**(5/8)/((y/y**(11/4)*y)/y) assuming y is positive. y**(-403/24) Simplify ((n**(2/3)/n)/(n*n*n**(1/5)))/(n**(1/18)*n**(-6)) assuming n is positive. n**(307/90) Simplify ((w*(w**(-14)/w)/w)/(w*w**(-7/3)/w))/((w*w**(1/2))/w**(2/5)) assuming w is positive. w**(-413/30) Simplify (z*(z*z**(-1/5))/z*z)**(-2/19)*z**(1/6)*z*z*z*z**10 assuming z is positive. z**(7397/570) Simplify ((s*s/s**(3/4))/s*s**14)/(s/(((s*s*s/(s**(1/4)*s)*s*s*s)/s)/s))**(1/57) assuming s is positive. s**(814/57) Simplify (g*g**1*g/(g/g**(-1/27)))/(g**24/g**(-1)) assuming g is positive. g**(-622/27) Simplify ((((t*t*t**(-1/23))/t)/t)/t**(-7))/(t**(8/9)*t**(-2/41)) assuming t is positive. t**(51910/8487) Simplify (((w**30/w)/w)/(w*w**(-9)*w))**(-3) assuming w is positive. w**(-105) Simplify (p**(-1)/p**(-2/3)*(p/(p*(p*p*p**(1/2))/p*p*p))**(10/3))**(-35) assuming p is positive. p**420 Simplify (((q/q**(-3))/(q*q**2/q*q*q*q))/(((q*q*q*q**(9/4)*q)/q)/q**(-1/12)))**(-12) assuming q is positive. q**76 Simplify (z**(-18)/(z/(z*z**(7/5)*z*z)))**(4/3) assuming z is positive. z**(-292/15) Simplify (z**(1/4))**48/(z*z**1)**(-2/61) assuming z is positive. z**(736/61) Simplify (((i*i**(-1/17)/i)/i)/i**(-1))/((i/i**(-3/16))/i*i/(i/(i*i*i**19))) assuming i is positive. i**(-5779/272) Simplify (a**(-3))**(2/99)/(a**(-4))**(-43) assuming a is positive. a**(-5678/33) Simplify ((m/(m/((m/(m**(-3)/m))/m))*m*m**(2/17))/((m*m**(1/8)/m*m)/((m**0/m)/m)))**(-10/3) assuming m is positive. m**(-1355/204) Simplify ((a**(-2/11)*a*a/(a**(3/11)/a))/((a*a**(2/3)/a)/a)**(-37/4))**(-6/13) assuming a is positive. a**(71/286) Simplify (((i/i**11*i)/i*i**(-2/15)/i)**(8/5))**(-6) assuming i is positive. i**(2672/25) Simplify t**(-37)/t*t*t*t**(7/6)/t*((t*(t*t*t**(2/13)*t)/t)/t)**(-46/5) assuming t is positive. t**(-21703/390) Simplify (f**(-11)/f**1)/(f**(-2/31)/f**(-10)) assuming f is positive. f**(-680/31) Simplify l**8/l*l*l*((l*l*l**(-1/9)/l)/l*l)/l*l*l**(1/12)*l*l**(2/37)*l assuming l is positive. l**(16019/1332) Simplify (x**(-5/2))**(5/2)/((x**(2/15)/x*x)/x**(-3/5)) assuming x is positive. x**(-419/60) Simplify (((z*z*z**(-5/9))/z)/z**(-2/27))/((z*(z/(z/(z/z**(-1/8)))*z)/z)/(z*z/z**(-2/21))) assuming z is positive. z**(739/1512) Simplify ((r*(r/(((r/r**(1/6))/r)/r))/r)**(-6/13)*(r**(-1/17)*r)/(r/(((r*r**(1/2)*r*r)/r)/r)))**38 assuming r is positive. r**(285/17) Simplify (u**(1/16))**(-2/79)*(u/u**(1/4)*u*u*u)/(u*u**35*u) assuming u is positive. u**(-21015/632) Simplify (k/(k/((k/k**(-1/7))/k)*k)*k**6)/(k*k**5*k)**(10/7) assuming k is positive. k**(-34/7) Simplify ((g/g**11*g*g**(-2/85))**12)**28 assuming g is positive. g**(-257712/85) Simplify (l/l**(-2/7))**24/((l**(-16)*l)/l)**48 assuming l is positive. l**(5592/7) Simplify (u**(2/15)*u)/u**(-4/9)*u/u**(-1)*u*u/u**(-1/12) assuming u is positive. u**(1019/180) Simplify (l*l/((l/(l*l*l**(-2)))/l)*l)**(-12)/(l/((l**(12/7)*l)/l)*l/l**9) assuming l is positive. l**(-191/7) Simplify ((a*a**19)/a**10)/((a/(((a/(a/(a*a**(14/5))*a))/a*a)/a))/a*a**(5/4)) assuming a is positive. a**(211/20) Simplify ((v**(-16))**9)**(-1/9) assuming v is positive. v**16 Simplify x*x*x*(x*x**(-2/13)*x)/x*x*x**(-3/4)*x**4*x*x*x*x**17 assuming x is positive. x**(1461/52) Simplify (((f**(3/2)/f*f)/f)/(f*f**4)*f**(-1/4)*f**(2/9))**(-1/33) assuming f is positive. f**(163/1188) Simplify (t/t**(9/4))/((t**(-3/13)/t)/t*t)*(t*t/(t*t/t**(-24)*t*t)*t)/t**8 assuming t is positive. t**(-1717/52) Simplify m**0/m*m/m**(-1/40)*m**(-3)/(m/((m*m/m**(4/7)*m)/m)) assuming m is positive. m**(-713/280) Simplify (m/((m*m**(-18))/m)*m*m**(4/7)/m)**26 assuming m is positive. m**(3562/7) Simplify ((v**(-1))**(-3/22)*(v**0)**(-41/5))**(-6/19) assuming v is positive. v**(-9/209) Simplify (l**(-12)*l**(-1/10)*((l/l**(-12))/l*l)/l**(2/5))**(-2/49) assuming l is positive. l**(-1/49
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of -101/39525 and 24/21607. 1620525 Calculate the smallest common multiple of 109101 and 21. 763707 What is the common denominator of -43/576 and 17/6144? 18432 What is the common denominator of -13/291929 and -7/79617? 875787 Calculate the common denominator of 56/51 and -10/257. 13107 What is the least common multiple of 250174 and 11636? 500348 Calculate the common denominator of 11/129483 and -33/14387. 129483 Find the common denominator of -17/5037 and -29/5037. 5037 Calculate the lowest common multiple of 250971 and 666. 1505826 Calculate the lowest common multiple of 2695 and 4235. 29645 What is the least common multiple of 10 and 18175? 36350 What is the common denominator of -143/144 and 83/336? 1008 Calculate the common denominator of -75/165368 and -56/14765. 826840 Find the common denominator of 44/23405 and 67/465. 70215 What is the common denominator of -131/28542 and -3/22? 313962 Calculate the smallest common multiple of 95460 and 20640. 763680 Find the common denominator of 99/68908 and 113/252. 620172 Find the common denominator of 79/24 and 89/91184. 273552 Calculate the smallest common multiple of 1055882 and 20. 10558820 What is the smallest common multiple of 16064 and 8512? 2136512 What is the lowest common multiple of 14413 and 8449? 245021 Find the common denominator of -29/52 and -93/1816. 23608 What is the lowest common multiple of 25180 and 4? 25180 Find the common denominator of -25/763248 and -35/102. 12975216 What is the common denominator of -45/2627 and 29/811743? 811743 Calculate the smallest common multiple of 6 and 15864. 15864 What is the least common multiple of 8416 and 76? 159904 What is the lowest common multiple of 456 and 27045? 4110840 Calculate the least common multiple of 236497 and 3. 709491 Calculate the common denominator of -79/300 and -199/19500. 19500 What is the common denominator of -45/468224 and -73/640? 2341120 Find the common denominator of -1/8350 and -12/5845. 58450 Calculate the common denominator of -29/194752 and -16/3759. 4089792 Calculate the least common multiple of 5177673 and 3. 5177673 Calculate the smallest common multiple of 16 and 42188. 168752 Calculate the lowest common multiple of 14592 and 19. 14592 Calculate the common denominator of 113/54 and -91/31674. 285066 Find the common denominator of -16/69 and -31/49. 3381 What is the lowest common multiple of 18088 and 2328? 5263608 Find the common denominator of 55/3654 and -137/12. 7308 What is the least common multiple of 48 and 1761692? 21140304 What is the common denominator of -31/6100 and -38/15? 18300 What is the smallest common multiple of 235365 and 75? 1176825 Calculate the common denominator of 157/2310 and 37/378. 20790 What is the common denominator of -8/27 and 143/106308? 318924 Calculate the lowest common multiple of 414 and 58374. 58374 What is the lowest common multiple of 2660 and 11970? 23940 Calculate the common denominator of 73/152 and 77/2456. 46664 What is the lowest common multiple of 26 and 3990? 51870 What is the lowest common multiple of 315090 and 2835? 2205630 Find the common denominator of -17/20992 and 95/256. 20992 Calculate the smallest common multiple of 10485 and 1365. 954135 What is the smallest common multiple of 60 and 5340? 5340 Find the common denominator of -67/147220 and 19/6800. 2944400 Find the common denominator of 67/5224 and -18/8489. 67912 What is the smallest common multiple of 21 and 2587929? 18115503 What is the common denominator of -64/165 and 43/38500? 115500 Find the common denominator of -10/1477 and 11/4853. 33971 Calculate the common denominator of -62/39 and 47/48762. 633906 Calculate the lowest common multiple of 252834 and 30. 1264170 What is the smallest common multiple of 1424 and 4336? 385904 Find the common denominator of 17/5700 and -103/188100. 188100 Calculate the lowest common multiple of 1167 and 3501. 3501 Calculate the smallest common multiple of 476 and 89777. 2513756 Calculate the common denominator of 1/20 and 39/148010. 296020 Calculate the lowest common multiple of 582654 and 485545. 2913270 Calculate the least common multiple of 22770 and 220. 45540 Calculate the common denominator of -43/172184 and 25/408937. 3271496 Calculate the smallest common multiple of 7 and 8013. 56091 What is the lowest common multiple of 10 and 120193? 1201930 Calculate the lowest common multiple of 4 and 5420. 5420 What is the common denominator of -65/9448 and -61/4724? 9448 What is the lowest common multiple of 19 and 691? 13129 What is the least common multiple of 37226 and 26590? 186130 Calculate the common denominator of 27/11 and -41/13308. 146388 Calculate the lowest common multiple of 85563 and 9507. 85563 Calculate the least common multiple of 25920 and 3915. 751680 Find the common denominator of -99/23864 and 21/4712. 739784 Find the common denominator of 41/17670 and 139/32240. 1837680 Find the common denominator of -13/588 and 61/52. 7644 What is the smallest common multiple of 1261662 and 27? 11354958 Calculate the least common multiple of 3150 and 18900. 18900 Calculate the lowest common multiple of 205 and 340. 13940 Calculate the smallest common multiple of 22989 and 8439. 666681 Calculate the smallest common multiple of 117528 and 88146. 352584 What is the smallest common multiple of 191 and 1195? 228245 Calculate the common denominator of -7/3105 and 149/1681530. 15133770 Calculate the lowest common multiple of 6670 and 33350. 33350 What is the common denominator of -119/3450 and -22/135? 31050 What is the lowest common multiple of 408 and 476? 2856 What is the least common multiple of 28 and 8792? 8792 Find the common denominator of 23/473 and 37/96105. 1057155 Calculate the least common multiple of 18850 and 30. 56550 Find the common denominator of -33/5633 and -15/11921. 512603 What is the common denominator of -32/526827 and 107/1655742? 11590194 Find the common denominator of -14/272833 and 4/272833. 272833 Calculate the smallest common multiple of 105 and 2415. 2415 What is the least common multiple of 22197 and 31710? 221970 Calculate the least common multiple of 12890 and 394434. 1972170 Calculate the smallest common multiple of 75 and 79300. 237900 What is the smallest common multiple of 188 and 210? 19740 Calculate the smallest common multiple of 23 and 101361. 101361 What is the common denominator of -125/3672 and -29/408? 3672 Calculate the lowest common multiple of 77 and 217. 2387 Calculate the common denominator of -32/123255 and -29/262944. 3944160 Calculate the common denominator of -111/24640 and 21/110. 24640 Calculate the lowest common multiple of 49989 and 21. 349923 Calculate the lowest common multiple of 1758820 and 10. 1758820 Calculate the common denominator of 95/812348 and -22/9541. 5686436 Find the common denominator of -89/2110 and -31/87565. 175130 Calculate the common denominator of 65/6 and 91/24982. 74946 What is the common denominator of 79/37620 and -121/8550? 188100 What is the common denominator of 169/11490 and 49/160? 183840 Calculate the common denominator of 7/7912 and -33/130. 514280 Find the common denominator of 9/13 and 143/2910. 37830 Calculate the smallest common multiple of 1572 and 132. 17292 Calculate the least common multiple of 130 and 2392. 11960 Calculate the common denominator of 49/1800 and -121/8460. 84600 What is the smallest common multiple of 1268 and 1600? 507200 What is the common denominator of -91/48 and -79/117108? 468432 Calculate the lowest common multiple of 2256 and 40608. 40608 Find the common denominator of 65/6466 and 47/46. 148718 Calculate the lowest common multiple of 276 and 5187. 477204 What is the smallest common multiple of 76818 and 98? 537726 What is the lowest common multiple of 1003 and 9? 9027 Calculate the least common multiple of 1716038 and 22. 18876418 What is the smallest common multiple of 33760 and 560? 236320 Calculate the common denominator of 59/2562 and -55/172386. 1206702 Calculate the lowest common multiple of 20800 and 355. 1476800 Calculate the lowest common multiple of 1217016 and 10. 6085080 Calculate the smallest common multiple of 4 and 11333. 45332 What is the lowest common multiple of 56 and 108941? 871528 Ca
{ "pile_set_name": "DM Mathematics" }
+ 47*d**2 + 3*d**5)*(-2 + 0 + 1). -163*d**5 - d**4 Expand (2*t**2 - 4*t**2 - 3*t**2)*(6*t - 4*t - 4*t)*(-2*t + 7*t + 8*t). 130*t**4 Expand (10*o**2 + 25*o**2 - 2*o**2)*(-4 - 8 + 19). 231*o**2 Expand (18*n + 22*n + 38*n)*(-60 + 0*n + 53 + 3*n). 234*n**2 - 546*n Expand (5*i + 0*i - 2*i)*(-64 - 50 + 39). -225*i Expand (3*s + s - 6*s)*(2*s - 2*s - 3*s**4) + (44*s**4 - 56*s + 56*s)*(-6*s + 7*s + 5*s). 270*s**5 Expand ((4*r - 2*r - r)*(-2 + 0 + 1) + 6*r - 3*r - r + 2 + 2*r - 2 - 41*r - 12 + 18*r + 22*r)*(3*r**2 - 5*r**2 + 3*r**2) + 17*r**2 - 17*r**2 + 24*r**3. 26*r**3 - 12*r**2 Expand -2141*k - 36*k**2 + 2141*k + 5 - 7 + 4 - 18*k**2 + (-2 + 0 + 3)*(-k**2 - 4*k**2 + 4*k**2). -55*k**2 + 2 Expand (4 + 2*h**3 - 4 + (-h + h - 2*h**2)*(-3*h + 5*h - 3*h) + 5*h**3 - h**3 - 2*h**3)*(-3*h - h - 4*h) + (-8 - 6*h + 8)*(-18*h**3 - 8 + 8). 60*h**4 Expand (-1 + 2 + 1)*(81*s + 188 - 188 + (-2*s + s + 3*s)*(2 + 1 - 2) + 9 - 9 - 15*s). 136*s Expand 4184972*v**2 + 0 - 2 + 42*v**3 - 4*v**5 - 4184975*v**2 + (-2*v - 4*v + 5*v)*(2*v**3 - 2*v**4 - 2*v**3). -2*v**5 + 42*v**3 - 3*v**2 - 2 Expand (-3 + 10 - 3)*(-y**2 + 5*y**2 - y**2)*((-4 + 4 - 2)*(3*y + 0*y - 2*y) - 31 + 31 + 8*y + (-1 + 0 + 0)*(-2*y + 2*y + y)). 60*y**3 Expand 67*v - 67*v + 34*v**5 + (0*v**3 - v**3 - v**3)*(-1 + 1 + v**2) + (-2 + 0 + 0 - 2*v)*(3*v**4 - 4*v**4 + 3*v**4). 28*v**5 - 4*v**4 Expand (2*m**4 - 2*m**4 - 2*m**4)*(390 + 661 - 629)*(m + 0*m + 0*m)*(-1 - 1 + 1). 844*m**5 Expand (0*c + c + 0*c)*(2 - 3 - 1)*(2424*c**4 + 37120*c**2 - 74236*c**2 + 37118*c**2). -4848*c**5 - 4*c**3 Expand (-3*p + 2*p + 5*p)*(129 - 9*p + 3*p - 126)*(-3 + 6 - 2). -24*p**2 + 12*p Expand (3 + 16*w**3 - 6 + 2)*(2 + 0 - 4)*(7 - 7 + 12). -384*w**3 + 24 Expand (26 - 4 - 3)*(584 - 124 - 126)*(-4*n + n + n). -12692*n Expand (94*t - 501*t + 41*t - 301*t)*(t + 2*t - 2*t)*(-1 + 7*t + 1). -4669*t**3 Expand (-r + r**4 + r)*(-1 - 2 + 1) - r**4 - 1 + 1 - 11*r**4 - 11*r**4 + 26*r**4 + (0*r**3 - 7*r**3 + r**3)*(-2*r + 4 - 4) - 3*r**4 + 11*r**4 + 7*r**4. 28*r**4 Expand 4*u**3 - 5284*u - 41*u**3 + 5285*u + (-20*u + 20*u + 13*u**3)*(-2 + 0 + 4). -11*u**3 + u Expand (-g - 3*g + g)*((-7 - 14*g + 7)*(0*g + 2*g + 2*g) + (-1 - g + 1)*(4*g - 6*g + g) - g**2 - 5*g**2 + 4*g**2). 171*g**3 Expand (-806*a + 1520*a - 757*a - 2)*(0*a - 8*a - 3*a). 473*a**2 + 22*a Expand (-767*p - 1691*p**5 - 770*p + 1537*p)*(2 - 1 + 1)*(-2 - 2 + 3). 3382*p**5 Expand q**4 + q**3 - q**3 + (-2*q**3 + 3 - 3)*(q + 5*q - 4*q) - 13*q**4 + 18*q**4 - 13*q**4 + (-10*q + 10*q + 3*q**4)*(-8 + 2 - 3). -38*q**4 Expand (-u**2 - 9*u**2 + 5*u**2)*(-22*u - 11 + 11) - 2*u - 2*u**2 + 2 + 0*u**3 - 2*u**3 + 4*u. 108*u**3 - 2*u**2 + 2*u + 2 Expand (-202 - 201 + 51*a + 402)*(6 - 4 - 1)*(0*a + 7*a + 0*a). 357*a**2 - 7*a Expand 11*o**2 + 44*o**2 + 12*o**2 + o**2 + o - o + (-1 + 2 + 0)*(-5*o**2 + 0*o**2 + 3*o**2) + 50*o + 7*o**2 - 50*o. 73*o**2 Expand (89*z**4 - 38*z**4 + 18*z**4)*(-3 - 1 + 9). 345*z**4 Expand (0 - 9 + 3)*(-576*g + 8951 - 8951). 3456*g Expand (-103 + 70 - 26*s + 34)*((-s - s + 0*s)*(0 + 0 - 4) + 0*s + s + s). -260*s**2 + 10*s Expand (0 + 0 - 3 + (2 - 2 + 1)*(-4 - 2 + 4) + (0 + 1 - 2)*(55 - 14 + 28))*(4*i - 8*i - 2*i). 444*i Expand (-33*l - 265 + 265)*(12 - 20 - 25 + 15*l - 13*l). -66*l**2 + 1089*l Expand (a + a - 5*a)*(-196*a + 196*a + 20*a**2 + (-2*a + 3 - 3)*(-2*a + a + 2*a)). -54*a**3 Expand i - 4*i + 0*i + 14*i + 3*i + 13*i + (-1 + 4 - 2)*(-i - 2*i + 5*i) + i + 3*i - 2*i. 31*i Expand (-39*u**3 + 108*u**3 - 43*u**3)*(1 + 0 - 2)*((-1 + 0 + 0)*(-1 - u + 1) - u + 0*u + 3*u + 0*u + 2*u - 4*u). -26*u**4 Expand (12 - 2*c**3 - 12)*(c + 0*c - 2*c) + (0 + 4 - 3)*(52718*c - c**3 - 38*c**4 - c**2 - 52718*c). -36*c**4 - c**3 - c**2 Expand (-491*u + 375*u + 375*u)*(6*u**2 + 10*u**2 - 5*u**2 + 2*u - 2*u + 3*u**2 + (2*u - u + 0*u)*(1 - 1 - u)). 3367*u**3 Expand (30*g + 61 + 34*g - 63)*(-1 - 18 + 2)*(4*g**4 + 0*g**4 - 5*g**4). 1088*g**5 - 34*g**4 Expand (1 - 1 - 2)*(2 + 2 - 1)*(2*r - r**3 + 9697127*r**2 - 2*r - 9695291*r**2). 6*r**3 - 11016*r**2 Expand ((1 + 2 - 4)*(2*s + 2 - 2) - 3*s - 1 + 1)*((2 + 0 - 1)*(1 - 1 - 2) - 5 + 6 + 0 + (0 + 2 - 4)*(-16 + 20 + 6))*(0*s - 2*s - 8*s). -1050*s**2 Expand (1 - 2 + 3)*((0 + 0 + r)*(-653 + 303 + 271) - 3*r + 2*r + 0*r). -160*r Expand -1121*w**5 + 688*w**5 + 685*w**5 + (w - w + w**3)*(2*w**2 - 3*w**2 + 2*w**2) + w**5 - 4*w + 3*w + 3*w**5. 257*w**5 - w Expand (66 - 32 - 42)*(0*q - 4*q + 5*q) + (3*q + 0*q - q)*(-7 + 2 + 0). -18*q Expand (2880*k - 2880*k - 1967*k**4)*(4*k - 4*k + k) + k**5 + k**5 - k**5. -1966*k**5 Expand -o + o + 2*o**2 + (o + 3*o - 5*o)*(-4*o + o + o) - 3*o + 2*o**2 + 3*o + (4*o**2 + 0 + 0)*(-5 + 2 + 4) - 5*o**2 - 27 + 27. 5*o**2 Expand -578*h - 3*h**2 + 1149*h - 556*h + h**3 + (3*h**3 - 6*h**3 + 2*h**3)*(0 + 1 + 0) - h**3 + 0*h**3 - h**3. -2*h**3 - 3*h**2 + 15*h Expand (-126 + 79 - 75 - 208)*(g**3 - 85*g**2 + 41*g**2 + 49*g**2). -330*g**3 - 1650*g**2 Expand (-361 - 56 + 92)*(-58*f + 12 - 59*f + 119*f). -650*f - 3900 Expand (2*a - a + 7*a)*(0*a - 2*a**2 + 0*a) - a**2 - 12*a**3 + 66*a**3 - 21*a**3. 17*a**3 - a**2 Expand o**4 + 0*o**4 - 4*o**4 + (6 - 4 - 4)*(-1 - 2*o**4 + 1) + (-39 - 17*o + 36 - 5*o)*(5*o**3 - 4*o**3 - 4*o**3). 67*o**4 + 9*o**3 Expand (-31523*v + 10823*v - 1 + 1)*(-v + 3 - 3). 20700*v**2 Expand (5 - 3 - 3)*(-3*l + 3*l + l) + 0*l - 6*l + l + 79*l - 6 + 3 - 49*l. 24*l - 3 Expand 5*g**2 - 3*g**2 - 3*g**2 + (0*g**2 - 2*g**2 + 0*g**2)*(3 - 2 + 0) + 1011*g**2 + 1050*g**2 + 3111*g**2. 5169*g**2 Expand 396*r**2 - 12*r + 13*r + 137*r**2 + 153*r**2 + (r**2 + 0 + 0)*(2 - 4 + 0). 684*r**2 + r Expand ((-6*d + 2*d + 2*d)*(5 - 2 - 1) + 2*d + d - d)*(-1561 - 1407 - 864). 7664*d Expand (l**2 + l**2 - l**2)*(6 - 2*l - 3 - 4) + (2*l + 0*l - 4*l)*(-l + l - l**2) + l**3 + 2*l**3 - l**3 + 7*l**3 + 11*l**3 + l**3. 21*l**3 - l**2 Expand (2*a**4 - a**4 + a**4)*((1 + 3 + 2)*(7*a + 11*a + 66*a) - 4*a + 3*a + 0*a). 1006*a**5 Expand (-24*y - 19*y - 32*y)*(4 - 4 + 2*y)*(17 - 4*y - 17). 600*y**3 Expand (2*i + i - 5*i)*(-36499*i**2 + 60402*i**2 - 34163*i**2). 20520*i**3 Expand -i**3 + 5*i**2 - 5*i**2 + (3*i + 8 - 8)*(6*i**2 - i**2 + 8*i**2) - 2 - 25*i**3 + 11*i**3 - 4*i + 15*i**3. 39*i**3 - 4*i - 2 Expand (0*f - f - f)*(-13 - 6*f + 13) + 5*f**2 + 7*f - 7*f + (2*f - 3*f + 3*f)*(-f + 4*f - f). 21*f**2 Expand 5295*s - 30 - 5297*s + 99 + (1 + 2 - 1)*(5 + 3*s - 5). 4*s + 69 Expand (3450 + 35620 - 50241 - 100420 - 68479 - 53191)*(-2*q + 2*q - q). 233261*q Expand (3*a**2 - 10*a - 5*a**2 + 4*a**2)*(-7 - 18 + 15 - 18). -56*a**2 + 280*a Expand ((1 + 0 - 3)*(0 + 2*j + 0) + (-2 + 2 - 1)*(-273 + 32*j + 273))*(-3 + 2 + 0)*(8*j**4 - 4*j**4 + 3*j**4). 252*j**5 Expand -267*y**2 - 77*y - 81*y + 162*y + 594*y**2 + 844*y**2 + (0*y - y + 3*y)*(-1 + 1 - y) + 0 + 3*y**2 + 0. 1172*y**2 + 4*y Expand (-34*b + 84*b - 36*b)*(-3*b**2 + 762*b - 767*b + 71 + 5*b**2). 28*b**3 - 70*b**2 + 994*b Expand (8546 - 5161 - 5870)*(-2*i + 3*i + 2*i)*(0 + 1 - 3). 14910*i Expand (-312 + 240 - 97)*(-5 + 3 + 5)*(-4 + h + 0 + 3)*(-4*h**4 + 2*h**4 - h**4). 1521*h**5 - 1521*h**4 Expand (x + 4*x - 3*x + (-x + 4*x - 4*x)*(-19 - 18 + 55))*(-6*x**2 + 6*x**2 + 3*x**2). -48*x**3 Expand (-2*b**2 + 0*b**2 + 4*b**2)*(7*b + 0*b + 4*b) + 22*b**3 + 16 - 16 + 1 - 1 - b**3 + (5*b**2 + b**2 - 4*b**2)*(b + 3*b - 5*b) + 0*b**2 + 2*b**3 + 0*b**2. 43*b**3 Expand (5 - 7*s - 5)*(21 - 56 - 3)*(3*s - 2*s - 2*s)*(s - s + s**2). -266*s**4 Expand -9*h - 15 + 15 + (0 - 1 - 3)*(-4*h + 1 - 1) + (-2 - 2 + 1)*(-4*h + 2*h + 0*h). 13*h Expand (3*r - 4*r + 4*r)*(-2*r - 307 + 0*r - 787). -6*r**2 - 3282*r Expand (0*k + 2*k - 7*k)*(4*k + k + k) - 80 + 164 - 12*k + 3*k**2 - 77. -27*k**2 - 12*k + 7 Expand (-886*k - 3048*k + 150*k)*(-3 + 3 - 1). 3784*k Expand (-10*s**2 + 829 - 829)*(4*s - 2*s - 4*s) + 16*s**3 - 6*s**3 + 30*s**3. 60*s**3 Expand (3 + 14*g - 3)*(15 - 5 - 5) + g - 6*g + 3*g + 2*g + 2*g - 3*g + 0 - g + 0 + (2 + 0 - 4)*(3*g - 2*g + g) + 0*g - 3*g + g + 4*g - 4*g - g. 61*g Expand (1722 - 1722 - 189*q)*(-3 - 3 + 5)*(5 - 2 - 2). 189*q Expand (-180 + 180 - 42*s)*(-2 + 2 + s) + 2*s**2 - 4*s**2 + s**2 + (-4*s + 4*s - s)*(s + 1 - 1) - 6 + 6 - 6*s**2. -50*s**2 Expand ((-1 - 2 + 1)*(i - i + 2*i) + 2*i + 2*i - 3*i + 5*i - 18 + 4*i - 7*i)*(2 - 1 - 6). 5*i + 90 Expand (-3*w - w + 5*w)*(1076*w**2 - 1801834 + 1801834)*(-w - 2*w + 2*w) + 3*w**4 + 3
{ "pile_set_name": "DM Mathematics" }
Let r = 78 - 78.3. Which is the closest to r? (a) 4 (b) -1.9 (c) -2 b Let g = -143 + 2147/15. Which is the nearest to g? (a) 2 (b) 0.1 (c) -1/6 b Let f be (3/8)/(-8 - 184/(-32)). Let i = 6 + -3. What is the closest to 2 in i, 2, f? 2 Suppose 0 = -2*s - 6 - 2. Let w be 2*(s + 6) - 6. What is the closest to -0.1 in 5, -0.01, w? -0.01 Let b = -0.3 - -0.3. Let l = 0.09 - 0.09. What is the nearest to b in l, 1, 2/7? l Let l(s) = 2*s - 3. Let p be l(2). Let j be p/((-1)/(0 + -1)). Which is the nearest to 0? (a) j (b) 3 (c) -1/4 c Let v = 106/3 - 36. Let j be 8 - -1*2 - 2. Suppose 0 = -5*h + j + 17. Which is the nearest to v? (a) -1 (b) h (c) 0 a Let x(r) = r + 18. Let f be x(-15). What is the nearest to 0 in 5, -2/7, f? -2/7 Let u = 0.42 + -0.02. Let z = u + -0.4. Which is the closest to 1/3? (a) -2/7 (b) z (c) 1 b Suppose -1 = 6*d - 7*d. Let s = 61 - 61.3. What is the nearest to 2/5 in s, d, 0? 0 Let r = 17/5 - 49/15. Which is the closest to -1? (a) 1/3 (b) 2/5 (c) r c Let x = 12 - 7. Let i be 2/(-3)*(1 - -1). What is the closest to -2/5 in -1, x, i? -1 Let b be (-10)/3 - 5/(25/(-20)). What is the closest to b in -0.3, 1, 1/9? 1 Let h = -47/2 + 23. What is the closest to h in 1, -0.4, 0? -0.4 Let m = 0.23 - -0.17. Let r = -0.06 + -1.94. Let b = -3 - -2.9. What is the closest to b in -1/4, r, m? -1/4 Let h = -41/7 - -6. Let k be 0 + -1*1/4. What is the closest to k in -1/2, h, 4? -1/2 Let o = -9.7 - -7.7. What is the closest to -4 in o, 4, -3? -3 Let z be (0 - -1) + -4 + 1. Let r(g) = -g**2 + 3*g - 4. Let s be r(3). Let h be (-5)/(-15) + (-2)/(-30). Which is the nearest to h? (a) s (b) 0.3 (c) z b Let r = -0.2 + 0.3. Let g be ((-1)/10)/(1/(-4)). Which is the closest to r? (a) -3 (b) 0.05 (c) g b Let v = -8 + 12. Which is the closest to 2? (a) 5 (b) 1 (c) v b Let n = 22 + -20. Let a = -2 + n. What is the nearest to a in 0.4, -2, 0.5? 0.4 Let p = 2 - 1.6. Let f(x) = -x - 6. Let m be f(-7). Let d(i) = 3*i**3 + i. Let u be d(m). Which is the nearest to -0.2? (a) u (b) p (c) -0.3 c Let v = -2 - -1. Let r = 0.2 - 0.3. Let u = 2 - 4. Which is the nearest to v? (a) u (b) -2/15 (c) r b Let l = -4.88 - 0.12. Let d be 537/7 + (-4 - -6). Let o = 79 - d. Which is the closest to o? (a) 0.5 (b) 3 (c) l a Let p be 1*-3 + (-90)/(-40). Which is the closest to 1? (a) -1/2 (b) 0.3 (c) p b Let a = -1.04 + 0.74. What is the nearest to -2 in -0.1, a, -1? -1 Let l = 59 - 34. Suppose 9*w - 4*w = l. Let f be (1/w)/(4/8). What is the closest to -2 in -2/13, f, 0? -2/13 Let q = 0.79 - 1.18. Let p = q - 0.01. Let m = -1 - 1. Which is the closest to m? (a) 0 (b) -1 (c) p b Let y be ((-4)/(-2))/(0 + -2). Let u be -4 + (-3 - -1) - -1*1. What is the closest to -1/2 in y, 5/3, u? y Let w(j) = j - 7. Let k = 3 - -4. Let n be w(k). What is the nearest to n in -0.3, -0.2, -2? -0.2 Suppose -4*y + 2 = -5*i - 3*y, i - 5*y = -10. What is the nearest to i in -2, 3/2, 6? 3/2 Let f = 5 + 1. Let c = -5.97 + f. Let l = c - -1.97. What is the nearest to -1/3 in l, 5, 3/5? 3/5 Let z = 9.6 - 1.6. Let u = 7.94 - z. Let l = -4.06 - u. Which is the nearest to 0? (a) l (b) -3 (c) -0.2 c Let z = -0.5 - -0.5. Let j = -1 + z. Suppose 4 = 2*m - 0. What is the closest to j in m, -5/2, 0.4? 0.4 Let a = -723/4784 - 1/368. Let k(v) = v**3 + 5*v**2 - 4*v + 14. Let t be k(-6). What is the nearest to t in 1/6, 1, a? 1 Let f = 1 - -2. Let v = 3 - f. Let s = -10 + 9.7. Which is the closest to v? (a) s (b) -1/3 (c) 2 a Let d = -101 - -908/9. Let k = 9 + -11. What is the closest to -1 in d, -3, k? d Let q = -16/13 + 25/52. Let d = -0.3 + 0.4. Let s = 7 - 3. Which is the closest to d? (a) -2/5 (b) s (c) q a Let a = 112 + -74. Let b be a/(-72) - 6/27. Suppose -2*d - 2*q - 2 = -0, -d + 2 = 4*q. What is the nearest to 0.1 in b, d, -3? b Let a = -90 - -632/7. Let n = -12 - -4. Let m = n - -10. What is the nearest to 2/5 in m, a, 3? a Let t = 146.4 + -147. Which is the nearest to -1/11? (a) 0 (b) -3 (c) t a Let n = 3/11 + -1/44. Let j = -9.2 - -9.1. Which is the closest to -0.1? (a) n (b) j (c) -2/5 b Let i = 8.17 + -0.17. Let v = -3 + i. Let k = 39/145 + -2/29. Which is the closest to 0.1? (a) k (b) v (c) 1/4 a Let y be (-4)/(-6) + 0 + (-1034)/705. What is the closest to 0.1 in -3, y, -1/5? -1/5 Let k = 0.158 + -0.058. Which is the closest to 6? (a) 5 (b) k (c) 2/19 a Let r = -0.01 + 0.02. Let v = -0.31 + r. What is the nearest to -0.1 in 5, v, 2? v Let w = 3 + -2.5. Let a = w - 0.2. Let b = -0.4 - -0.5. What is the closest to -0.1 in a, -1, b? b Let j be ((-11)/(-132))/((-2)/6). What is the nearest to j in -4/7, 1/7, 0.4? -4/7 Let k = 7 + -4. Let w = 3.6 - k. Let t = 0.1 - w. What is the nearest to 0.3 in -2, t, -3? t Suppose -3*i + 5*r + 26 = 0, 5*i - 22 - 11 = -2*r. Suppose w - 6 + i = 0. Let b = -1 + 2. What is the closest to 1 in -3, b, w? b Let v = -35 - -33. Which is the closest to -0.3? (a) v (b) -0.1 (c) 0.2 b Let l = 48.7 + -49. Let q = 0 - -2. Which is the nearest to -1? (a) l (b) q (c) -1 c Let t(s) be the first derivative of -s**2/2 + 11*s + 3. Let p be t(12). Which is the nearest to 1? (a) 3/4 (b) 4/5 (c) p b Let l = -1.669 - -0.069. What is the closest to -2/5 in 4/9, 3/5, l? 4/9 Let w = 7 - 12. Let g(t) = t**3 + 4*t**2 - 6*t - 2. Let c be g(w). Let x be 32/(-42) + 1/c. What is the closest to 1/4 in 4, -1/4, x? -1/4 Let p be 3 - (-43)/(-15)*1. What is the closest to -1 in 3, -2, p? -2 Let q(c) = -c + 7. Let l be q(10). Let x = -3 + 3. What is the closest to x in -1, l, -2? -1 Let h be 2/(-9) - (-38)/9. Let p = -32 - -31. What is the nearest to p in -1, h, -4/5? -1 Let p be ((-8)/(-696))/(2/4). Let i = 269/348 - p. Which is the closest to 2? (a) -5 (b) -1 (c) i c Let u = -0.6 - -0.6. Which is the closest to 2/3? (a) -3 (b) u (c) 0.4 c Let l be 1 - 3 - (-80)/42. Let t = l - -25/42. Which is the nearest to t? (a) -0.3 (b) -1 (c) 3 a Let p = -3 - -2. Let s be (6/(-14))/3*4. Let h = 3 - 3. Which is the closest to p? (a) 2 (b) s (c) h b Let n = -7/3 + 2. Suppose 0 = 2*x + 6 - 2. Which is the closest to -1/3? (a) 2/11 (b) x (c) n c Let i be (3796/12)/((-10)/6). Let g = 191 + i. What is the closest to 0 in 2, g, -1? -1 Let p = -10 + 10.1. Let d = -0.06 - 0.34. Let i = -4.6 + d. What is the nearest to 0 in i, 1, p? p Let z = -90 - -86. Which is the closest to 2? (a) 14 (b) z (c) 3 c Let q = 1 - 1. Let u be (3/6)/((-4)/(-24)). What is the closest to q in u, -1/3, -4? -1/3 Let u(n) = -2*n + 23. Let g be u(9). Which is the closest to -2/5? (a) g (b) -3 (c) 1/4 c Let o = -52.1 - -52. Which is the nearest to 2? (a) 0.15 (b) 5 (c) o a Let l = 0.1 - 4.1. Let k = 5 + l. Let i = -6.7 + 7. Which is the closest to 2/13? (a) k (b) i (c) 4 b Let v(x) be the third derivative of -x**5/30 - x**4/12 + 2*x**2. Let w be (-9)/5 + 6/(-30). Let u be v(w). Which is the nearest to -1? (a) u (b) -0.3 (c) -5 b Let i be (-8)/6 + 70/75. Which is the nearest to 2? (a) 3 (b) -1/3 (c) i a Let l(f) = -f**3 + 9*f**2 - 7*f - 6. Let g be l(8). Suppose 0 = g*w + w. What is the nearest to -1/9 in -0.2, 2/19, w? -0.2 Let l be (-26)/(-12) + 1*-2. Let u = 39.42 + -40. Let s = -0.08 - u. Which is the nearest to 2/7? (a) l (b) -1 (c) s a Suppose 5*z + 16 = p, p = -5*z - 6 - 8. Suppose 4*r - 58 = -0*k + 5*k, 3*k + 66 = 5*r. Let f be 6/28*(-16)/r. What is the nearest to p in 5/3, f, -2? 5/3 Let w = 10 + -9.9. What is the nearest to -4 in w, -0.2, -1/2? -1/2 Let h be 138/(-30) - (-4)/(-10). Let q = -7.8 + 5.5. Let r = q + 2. Which is the nearest to 1/2? (a) 0 (b) h (c) r a Let v(x) = 2*x + 14. Let p be v(-7). Let y be 15/22 - 1/2. Which is the nearest to p? (a) y (b) 2 (c) 1/3 a Let d = -0.29 + 3.29. Which is the nearest to -1? (a) -4/9 (b) d (c) -1 c Let o = -10 + 9. Let y = -0.3 - 0.2. Let b = -1484/13 - -114. What is the nearest to o in 3, y, b? y Let y = 1213/7 + -173. Let c be (-3 - -1) + 40/18. Let q = 0 + 0. What is the nearest to -0.1 in y, q, c? q Suppose -1 = d + 1. Let m be 4/(-12)*3/d. Let g be 4/14 - 18/14. Which is the nearest to g? (a) m (b) 0.1 (c) 4 b Let z = -4.9 - -3.9. Which is the closest to z? (a) 0.15 (b) -0.1 (c) 2/5 b Suppose 9*f + 6 = 6*f. Let u = 36 - 21. Let t be (-1)/3 + 11/u. What is the closest to 1 in
{ "pile_set_name": "DM Mathematics" }
e there in 9.116692us? 0.000009116692 How many micrograms are there in 7.971095 kilograms? 7971095000 What is 1/4 of a day in hours? 6 How many hours are there in nineteen quarters of a day? 114 What is 27/4 of a litre in millilitres? 6750 How many millilitres are there in 3/50 of a litre? 60 How many millilitres are there in 21402.02 litres? 21402020 What is 49216.93 litres in millilitres? 49216930 How many weeks are there in 1643.37243 hours? 9.78197875 How many micrometers are there in 3/10 of a centimeter? 3000 How many kilograms are there in 0.7121967 micrograms? 0.0000000007121967 How many days are there in fourty-eight sevenths of a week? 48 How many kilograms are there in 60.73938 grams? 0.06073938 Convert 615.6101 decades to millennia. 6.156101 What is 3/5 of a millimeter in micrometers? 600 How many years are there in 57200.82 decades? 572008.2 How many weeks are there in 7515.459 days? 1073.637 What is 4.001298 minutes in milliseconds? 240077.88 How many micrometers are there in 17/2 of a millimeter? 8500 How many millilitres are there in 3/25 of a litre? 120 How many seconds are there in six fifths of a minute? 72 What is 1/16 of a milligram in nanograms? 62500 Convert 5.014675 tonnes to micrograms. 5014675000000 What is 437.5683 decades in millennia? 4.375683 How many nanoseconds are there in one tenth of a microsecond? 100 What is 53.95308ml in litres? 0.05395308 What is twenty-seven halves of a decade in months? 1620 How many millilitres are there in seventy-five halves of a litre? 37500 Convert 1361.3115s to minutes. 22.688525 What is 27/4 of a year in months? 81 How many millimeters are there in twenty-five halves of a centimeter? 125 What is 3/5 of a centimeter in millimeters? 6 What is 495.785745ms in weeks? 0.0000008197515625 What is 11/2 of a year in months? 66 What is one sixteenth of a millisecond in nanoseconds? 62500 How many milligrams are there in 5030.362 tonnes? 5030362000000 Convert 30580.33 millennia to months. 366963960 How many months are there in 17/4 of a year? 51 Convert 711119.8 millilitres to litres. 711.1198 What is 18.24031 millimeters in micrometers? 18240.31 What is three eighths of a millimeter in micrometers? 375 What is 83759.82 kilometers in millimeters? 83759820000 What is 19/4 of a millimeter in micrometers? 4750 How many centimeters are there in thirteen quarters of a meter? 325 How many minutes are there in fourty-one halves of a day? 29520 What is 15/4 of a gram in milligrams? 3750 What is 355381.3 millilitres in litres? 355.3813 Convert 2587.442 minutes to microseconds. 155246520000 How many minutes are there in 5/8 of a week? 6300 How many nanoseconds are there in 94619.24ms? 94619240000 How many millilitres are there in thirty-two fifths of a litre? 6400 What is 8.57375 years in millennia? 0.00857375 What is 57/5 of a litre in millilitres? 11400 What is 2.61926g in milligrams? 2619.26 How many seconds are there in ten thirds of a minute? 200 What is 7.989886m in centimeters? 798.9886 How many millilitres are there in 3/8 of a litre? 375 What is nineteen quarters of a meter in millimeters? 4750 How many millilitres are there in three eighths of a litre? 375 How many kilograms are there in 0.57613ug? 0.00000000057613 Convert 81861.66 millilitres to litres. 81.86166 What is five eighths of a kilometer in meters? 625 How many decades are there in thirty-two fifths of a century? 64 How many millilitres are there in 17/2 of a litre? 8500 What is 1/4 of a microsecond in nanoseconds? 250 Convert 0.4835984ml to litres. 0.0004835984 Convert 37821.15 micrograms to tonnes. 0.00000003782115 Convert 323040.6ml to litres. 323.0406 How many millilitres are there in 3/10 of a litre? 300 Convert 779.3199 kilometers to millimeters. 779319900 Convert 0.682511 nanograms to kilograms. 0.000000000000682511 Convert 0.9143372 millennia to decades. 91.43372 Convert 4.76452 nanograms to kilograms. 0.00000000000476452 What is 3/50 of a kilometer in meters? 60 What is 9/10 of a century in decades? 9 Convert 368.8552 meters to micrometers. 368855200 What is 5/4 of a centimeter in micrometers? 12500 What is 2.336718t in grams? 2336718 Convert 0.4760324 millilitres to litres. 0.0004760324 What is 3/8 of a litre in millilitres? 375 What is seven halves of a millimeter in micrometers? 3500 How many meters are there in 557856.1km? 557856100 How many months are there in 84.04765 centuries? 100857.18 How many millilitres are there in 3675.658 litres? 3675658 Convert 846089.8 days to hours. 20306155.2 Convert 24.74388 seconds to weeks. 0.0000409125 What is eighteen sevenths of a week in hours? 432 Convert 59.80949 millilitres to litres. 0.05980949 How many centuries are there in 18.1703 years? 0.181703 What is 33/5 of a litre in millilitres? 6600 How many micrograms are there in twenty-seven halves of a milligram? 13500 What is 21/2 of a litre in millilitres? 10500 What is thirty-one halves of a gram in milligrams? 15500 How many decades are there in three tenths of a century? 3 What is 4/3 of a day in minutes? 1920 How many milligrams are there in one fifth of a gram? 200 Convert 79754.895ms to hours. 0.0221541375 Convert 6763.718ml to litres. 6.763718 How many nanometers are there in 251421.5 kilometers? 251421500000000000 Convert 747517.1us to nanoseconds. 747517100 What is 27/4 of a millimeter in micrometers? 6750 What is 400588.9l in millilitres? 400588900 How many centuries are there in 31/2 of a millennium? 155 How many centimeters are there in nine tenths of a meter? 90 How many seconds are there in 7/2 of a minute? 210 What is one quarter of a gram in milligrams? 250 How many micrograms are there in 7409.588 tonnes? 7409588000000000 How many millilitres are there in 15/4 of a litre? 3750 What is fourty-five quarters of a microgram in nanograms? 11250 What is 5/8 of a litre in millilitres? 625 What is twenty-seven fifths of a minute in seconds? 324 Convert 4.65204 millilitres to litres. 0.00465204 Convert 28.05029l to millilitres. 28050.29 What is 1/6 of a century in months? 200 How many months are there in ten thirds of a century? 4000 How many grams are there in 13/4 of a kilogram? 3250 What is twenty-five quarters of a millennium in months? 75000 What is 11/4 of a millennium in decades? 275 Convert 16689.98ml to litres. 16.68998 What is three tenths of a microgram in nanograms? 300 How many centimeters are there in 17/4 of a meter? 425 How many centuries are there in three fifths of a millennium? 6 What is seventy-five quarters of a litre in millilitres? 18750 How many decades are there in 21761.607 months? 181.346725 What is seven halves of a litre in millilitres? 3500 Convert 0.3640623 months to millennia. 0.000030338525 Convert 45.33688 meters to nanometers. 45336880000 What is 4/3 of a day in minutes? 1920 Convert 594.1434 months to decades. 4.951195 What is 6/5 of a millisecond in microseconds? 1200 How many milligrams are there in 54.94907 kilograms? 54949070 How many micrograms are there in 2825.441 kilograms? 2825441000000 What is fifty-five sixths of a century in months? 11000 What is 0.4787928 centimeters in meters? 0.004787928 What is sixty-four fifths of a milligram in micrograms? 12800 What is fourty-one halves of a micrometer in nanometers? 20500 What is 0.4979145 days in milliseconds? 43019812.8 How many millilitres are there in 0.0312177l? 31.2177 What is fourty-two fifths of a decade in months? 1008 How many millilitres are there in 3/8 of a litre? 375 Convert 0.3295365ng to kilograms. 0.0000000000003295365 How many decades are there in 2980.4841 months? 24.8373675 Convert 0.9719507m to micrometers. 971950.7 How many years are there in 21/2 of a century? 1050 How many kilograms are there in 3289.295g? 3.289295 How many months are there in 11/4 of a decade? 330 How many nanograms are there in fourty-eight fifths of a microgram? 9600 How many months are there in 7/3 of a millennium? 28000 How many grams are there in 24.40617 milligrams? 0.02440617 Convert 0.5260844 litres to millilitres. 526.0844 Convert 581762.6t to micrograms. 581762600000000000 How many millilitres are there in 7623.489 litres? 7623489 What is 491432.1ml in litres? 491.4321 What is 89.48757cm in millimeters? 894.8757 Convert 0.
{ "pile_set_name": "DM Mathematics" }
- 75 = 20 for f. 20 Solve 60 = -36*i - 98*i - 878 for i. -7 Solve 29*l = -285*l + 6276 + 4 for l. 20 Solve -25*b + 14*b + 1334 = -69*b for b. -23 Solve 12*u + 4188 = 4044 for u. -12 Solve -75062*g = -75064*g - 0 - 42 for g. -21 Solve 0 = b - 2174 + 2166 for b. 8 Solve -170 = 201071*t - 201054*t for t. -10 Solve 76*b + 5 + 1059 = 0 for b. -14 Solve 8521*t = 8538*t + 289 for t. -17 Solve 2*o - 10 - 4 = -22 for o. -4 Solve -573 + 110 = 25*t + 312 for t. -31 Solve 346*f - 293*f = 265 for f. 5 Solve -295*m = -160*m - 1215 for m. 9 Solve 25*z - 11*z = -30*z + 396 for z. 9 Solve 211*z + 75 - 23 = -159 for z. -1 Solve 28060 = -94*x + 28530 for x. 5 Solve 84 = 259*h + 301 + 301 for h. -2 Solve 30*k + 40*k - 910 = 0 for k. 13 Solve 7863*x - 7855*x - 120 = 0 for x. 15 Solve 2819*q - 26 = 2806*q + 39 for q. 5 Solve 44*v - 33*v = 121 for v. 11 Solve 34*y - 807*y + 290 + 483 = 0 for y. 1 Solve -a + 159 - 329 = 4*a for a. -34 Solve 36*n + 9*n + 56*n + 606 = 0 for n. -6 Solve -10 + 183 = 58*t - 59 for t. 4 Solve -32*j + 55*j + 160 = -57*j for j. -2 Solve -94*t + 1166 = -902 for t. 22 Solve 0 = 88*r - 44*r - 61*r + 85 for r. 5 Solve -479*l = -554*l + 450 for l. 6 Solve -397*n + 1161 = 3549 + 1185 for n. -9 Solve 112290 - 112653 = -33*z for z. 11 Solve -1152*g - 19065 = 16647 for g. -31 Solve 3*z - 20*z = -35*z + 162 for z. 9 Solve 0 = 1042*m + 2077 + 10539 + 11350 for m. -23 Solve -6613*v + 6688 = -6404*v for v. 32 Solve 0 = 7235*w - 7218*w - 648 + 257 for w. 23 Solve 12*v - 19 + 10 = 15 for v. 2 Solve -4352*c = -4356*c - 48 for c. -12 Solve -20 = -17*i - 9*i + 240 for i. 10 Solve 70040*s = 70025*s - 180 for s. -12 Solve -5*t - 11*t = 32*t - 288 for t. 6 Solve -559*t - 78*t = -165*t + 10856 for t. -23 Solve 162*i - 96*i = -133*i + 3184 for i. 16 Solve -794*h + 27 = -821*h for h. -1 Solve -1623 - 183 + 46 = 88*w for w. -20 Solve 536*l + 2887 = 9319 for l. 12 Solve -1191*q - 2600 = -1321*q for q. 20 Solve -732*d - 362*d = 30632 for d. -28 Solve -1327*l + 10495 + 5243 + 186 = 0 for l. 12 Solve 0 = 1275*x - 1421*x + 730 for x. 5 Solve -155*z - 4309 - 738 = -1172 for z. -25 Solve -14*x - 30*x + 87 = -397 for x. 11 Solve 46 = -150*f + 127*f for f. -2 Solve 2858 = 1142*k - 14272 for k. 15 Solve -205*t = 104*t - 54*t + 1530 for t. -6 Solve 12*u = -57*u + 95 - 26 for u. 1 Solve 50*u + 2685 - 3035 = 0 for u. 7 Solve -219*t - 4005 = 186 + 1503 for t. -26 Solve 6400*a = 6387*a - 273 for a. -21 Solve 46 + 19 = -13*x for x. -5 Solve 495*m + 14 = 481*m for m. -1 Solve 12*u + 368 - 596 = 0 for u. 19 Solve 0 = -88206*a + 88261*a - 330 for a. 6 Solve 30*w + 695 + 750 - 1535 = 0 for w. 3 Solve -822*d + 3523 = -3875 for d. 9 Solve 30*f = -35*f - 43*f + 1080 for f. 10 Solve 0 = 1325*b - 46976 + 8551 for b. 29 Solve -8*n + 145*n + 589 + 1192 = 0 for n. -13 Solve 0 = -96*g + 222*g + 2142 for g. -17 Solve 17*v + 3482 = 3363 for v. -7 Solve -2375 - 3460 = -480*z + 91*z for z. 15 Solve 272 = -46*j - 10*j - 176 for j. -8 Solve 25805 = 130*j + 22035 for j. 29 Solve 130*x + 570 = 73*x for x. -10 Solve -163*p - 297 = -130*p for p. -9 Solve -26 = 29*c - 108 + 24 for c. 2 Solve -16*m = -124*m - 1728 for m. -16 Solve 5693 + 380 - 493 = -558*y for y. -10 Solve 159*f - 579 + 1851 = 0 for f. -8 Solve 904 = -32*n + 424 for n. -15 Solve -420*y + 741*y + 246 = 1530 for y. 4 Solve 658*g = -204*g - 9482 for g. -11 Solve -103*t - 14 = -101*t for t. -7 Solve 299*l + 42*l - 134 = 207 for l. 1 Solve 2*a - 20*a = -33*a - 330 for a. -22 Solve -185*k = 11*k - 1453 + 81 for k. 7 Solve 2422*u = 2360*u + 310 for u. 5 Solve 191 = 109*c - 1158 - 395 for c. 16 Solve 0 = -14*k - 46*k - 204*k - 528 for k. -2 Solve 397 = 339*m - 116*m - 272 for m. 3 Solve -61*w + 132*w = -568 for w. -8 Solve -37*z = 10479 - 11182 for z. 19 Solve 650*u - 1948 - 4552 = 0 for u. 10 Solve 28*s + 45 - 577 = 0 for s. 19 Solve 97*c + 4245 = -110*c - 76*c for c. -15 Solve -146*y = -478*y - 105*y + 11362 for y. 26 Solve 380 = -109*r - 79*r - 184 for r. -3 Solve 50*g + 304 = -596 for g. -18 Solve 125 + 7 = 9*h + 2*h for h. 12 Solve 11*p = 113*p - 1326 for p. 13 Solve -386*f + 1043 = 1097 + 2648 for f. -7 Solve 3*n = 2858 - 2879 for n. -7 Solve 346*c = 245*c - 454*c - 2220 for c. -4 Solve 28*h - 399 = 24*h + 23*h for h. -21 Solve -13*b - 2104 + 4910 = 109*b for b. 23 Solve 0 = -30*u + 5989 - 6229 for u. -8 Solve -1635*o - 2646 = -1509*o for o. -21 Solve 45*z + 72 - 72 = 285*z for z. 0 Solve 146790*u - 146814*u + 384 = 0 for u. 16 Solve 345*j - 447*j + 816 = 0 for j. 8 Solve -1218*m = 33527 - 641 for m. -27 Solve -865 = -66*u + 565 + 352 for u. 27 Solve -104*g - 1072 - 1188 = -700 for g. -15 Solve 540 = -39*o - 6*o - 9*o for o. -10 Solve 13*d = 8*d + 5*d + 4*d for d. 0 Solve 0 = -227*l + 449*l + 2886 for l. -13 Solve 74*o = -12*o - 461 - 571 for o. -12 Solve 112*g = -747 - 373 for g. -10 Solve 0 = 3*c + 77*c + 13*c + 837 for c. -9 Solve -17*o = 22*o - 18*o - 588 for o. 28 Solve 217*u - 5698 = 139*u - 76*u for u. 37 Solve -57*r - 1288 = -36*r + 35*r for r. -23 Solve 0 = -86*l + 247*l for l. 0 Solve -211*y - 291 = -2320 - 1136 for y. 15 Solve 0 = -47*m + 375 - 78 + 173 for m. 10 Solve -14*b = 165 + 87 - 70 for b. -13 Solve -129*x + 128*x = 0 for x. 0 Solve -109*r + 2963 = -198 for r. 29 Solve 0 = 9*a - 13072 + 13315 for a. -27 Solve -163*i - 150*i - 1434 = -74*i for i. -6 Solve -38*q + 13*q = 15*q + 240 for q. -6 Solve 0 = 9*h - 1765 + 1828 for h. -7 Solve 29*v + 1018 - 576 = 1167 for v. 25 Solve 2139*q = 2158*q - 171 for q. 9 Solve 0 = -242*d - 369*d - 61*d + 7392 for d. 11 Solve -9*o - 410 = 32*o for o. -10 Solve 1652*n = 1663*n + 143 for n. -13 Solve -19*d - 144 = -283 - 241 for d. 20 Solve 89*i = -i - 27*i - 3159 for i. -27 Solve -23*y + 17*y = 57*y - 1008 for y. 16 Solve 294 = -61414*c + 61435*c for c. 14 Solve -65*n + 32*n + 26*n = 119 for n. -17 Solve 0 = 32*m - 64*m + 53*m + 567 for m. -27 Solve 2011 - 653 + 2854 = 351*y for y. 12 Solve -189 = -63*m - 80 + 269 for m. 6 Solve -1992*c + 1015*c + 180 = -1013*c for c. -5 Solve -14893 = -2*j - 14923 for j. -15 Solve -232 = -6*i + 35*i for i. -8 Solve 12*d - 101*d + 77 = -546 for d. 7 Solve 659 - 509 = 30*p for p. 5 Solve -5*y + 6 = 7 + 29 for y. -6 Solve -2529 = -27412*p + 27297*p - 919 for p. 14 Solve 319*x - 4596 = -1607*x + 26220 for x. 16 Solve 0 = -9*f - 10*f - 14*f + 33 for f. 1 Solve 176 = -33*u - 15*u + 4*u for u. -4 Solve -711*n = -584*n for n. 0 Solve -73746*r + 19 - 305 = -73724*r for r. -13 Solve 16 + 24 = -2*n - 3*n for n. -8 Solve -235*l = 2348 + 2117 for l. -19 Solve 3*x - 196 = 46*x + 363 for x. -13 Solve -12*f - 1438 = -1510 for f. 6 Solve 2*l + 12*l = 27*l + 39 for l. -3 Solve 244 + 272 = 57*r + 3 for r. 9 Solve 126423*z = 126430*z - 154 for z. 22 Solve 1904 = 488*y - 352*y for y. 14 Solve -350 = -62*o + 214*o - 2326 for o. 13 Solve -1043 - 1823 = 211*k - 545 for k. -11 Solve 298*z + 1280 - 670 = -2072 for z. -9 Solve -781 = 193*j + 1604 + 1668 for j. -21 Solve -127*b + 1165*b - 21798 = 0 for b. 21 Solve 423*j - 672 = 1498 + 5021 for j. 17 Solve -66*q + 286 = 22 for q. 4 Solve -167 = -11*p + 42*p - 260 for p. 3 Solve -161 = 195*m + 1594 for m. -9 Solve 752*g + 39253 - 10677 = 0 for g. -38 Solve -1055 = -276*u - 5471 for u. -16 Solve -122 = -14*d - 108 for d. 1 Solve 39*f + 34*f = 80*f + 91 for f. -13 Solve -238*v + 88*v - 5592 = 83*v for v. -24 Solve 210*n = 762 - 2062 - 1010 for n. -11 Solve 64*u = -67*u + 393 for u. 3 Solve 40*z = 65 + 215 for z. 7 Solve 462 = -7142*y + 7164*y for y. 21 Solve 38*j = 71 - 185 for j. -3 Solve 1383 = -160*a - 2297 for a. -23 Solve 263*h + 8274 = -328*h for h. -14 Solve 26*y = -11*y + 12*y - 50 for y. -2 Solve 366*w - 611 = 725 - 238 for w. 3 Solve 366 = 27*i + 393 for i. -1 Solve 2008*y = 1985*y + 322 for y. 14 Solve -28 = -v - 9*v + 72 for v. 10 Solve -470 = -83*z + 497 - 137 for z. 10 Solve 52*d + 44779 = 44103 for d. -13 Solve 17*j + 163*j = -360 for j. -2 Solve -74 - 81 = 13*i - 12 for i. -11 Solve -259 = 1499440*x - 1499403*x for x. -7 Solve -1207*r + 1238*r = -992 for r. -32 Solve 179*i - 1045 = -63*i + 147*i for i. 11 Solve -30 = -5152*n + 5155*n for n. -10 Solve 0 = 52*g - 138 + 606 for g. -9 Solve 654 = -174*h + 1872 for h. 7 Solve -2114 = 306*v + 4312 for v. -21 Solve 51*t - 927 = -264 for t. 13 Solve 22*p - 63*p - 280 = -13*p f
{ "pile_set_name": "DM Mathematics" }
ermine f(n(q)). -22*q Let q(l) = -l**2. Let k(h) = -20*h + 20*h - 240*h - 638*h. What is k(q(d))? 878*d**2 Let o(k) = -k. Let l(b) = 40053*b**2. Give o(l(s)). -40053*s**2 Let r(v) = -2*v + 3. Let m(n) be the third derivative of 5*n**4/8 - 25*n**3/6 - 10*n**2. Let j(u) = -6*m(u) - 50*r(u). Let y(p) = -3*p**2. What is y(j(b))? -300*b**2 Let k(v) = -6*v**2. Suppose 11 = -w - 5*t - 18, -2*w = 3*t + 23. Let l(b) = 17*b**2. Let q(n) = w*l(n) - 11*k(n). Let s(o) = -21*o**2. Give q(s(z)). -882*z**4 Let z(g) = 70014*g**2. Let a(l) = 10*l**2. Determine a(z(o)). 49019601960*o**4 Let k(w) be the first derivative of -7*w**6/360 + 23*w**3/3 - 21. Let f(x) be the third derivative of k(x). Let o(r) = -2*r**2 + 4*r**2 - r**2. What is o(f(l))? 49*l**4 Let w(n) = 2*n + 101*n**2 - 125*n**2 - 2*n. Let r(q) be the first derivative of -2*q**3/3 + 9. Determine w(r(l)). -96*l**4 Let p(t) = -t**2 + 1. Let f = 58 - 60. Let b(v) = -2. Let n(y) = f*p(y) - b(y). Let l(o) = -44*o**2. Calculate l(n(i)). -176*i**4 Let q(u) = -2*u + u - 2*u. Let x(y) = -y**2 + y - 1. Let l(g) = -6*g**2 + 5*g - 5. Suppose -2*i = -8 + 2. Let o(p) = i*l(p) - 15*x(p). Give o(q(k)). -27*k**2 Let m(q) be the third derivative of -q**5/30 - 6*q**2 - 2. Let j(a) = -98*a**2. Calculate m(j(h)). -19208*h**4 Let k(h) = -26*h**2. Let c(p) = p**2 - 6*p. Suppose 3*o = 20 - 38. Let d(g) = -2*g**2 + 11*g. Let q(u) = o*d(u) - 11*c(u). Calculate k(q(l)). -26*l**4 Let f be ((15 + -1)*1)/(-14 + 16). Let x(l) = 0*l**2 + l**2 - f*l**2. Let u(b) = -3*b**2. What is u(x(g))? -108*g**4 Let f(t) = 10*t. Suppose 2*h + 10 = 5*p, 3*h + 4*p - 5 - 3 = 0. Suppose -3*a + 0 + 6 = h. Let z(o) = 0*o**2 - a*o**2 + o**2. Calculate z(f(u)). -100*u**2 Let c(w) = -4*w**2. Let x(b) = 922*b**2 - 2767*b**2 + 923*b**2 + 923*b**2. Calculate x(c(h)). 16*h**4 Let k(b) = -3*b + 2. Let f(h) = -2*h + 3. Let t(g) = -2*f(g) + 3*k(g). Let u(m) = -343*m + 176*m + 169*m. What is t(u(l))? -10*l Let t(i) = 26*i**2. Let h(p) be the third derivative of -p**4/3 - 111*p**2. Calculate h(t(k)). -208*k**2 Let k(l) = l**2. Let m(q) = 83600*q + 5. Determine m(k(x)). 83600*x**2 + 5 Let k(b) = 23*b. Let m(a) = 401*a**2 - 2. What is k(m(s))? 9223*s**2 - 46 Let z(p) = 10*p + 1. Let y(s) = 4*s**2 - 4. Let m(x) = 4*x**2 - 5. Let h(o) = 4*m(o) - 5*y(o). What is z(h(b))? -40*b**2 + 1 Let u(s) be the second derivative of -s**3/3 - 3*s. Let k(g) = -73*g + 34*g + 37*g. Determine u(k(x)). 4*x Let j(b) be the second derivative of b**4/6 + b. Let h(x) = -6*x**2 - 76148*x + 76148*x. What is h(j(w))? -24*w**4 Let t(r) be the third derivative of -r**8/4032 - 4*r**5/15 + 30*r**2. Let b(h) be the third derivative of t(h). Let q(m) = -2*m. Give b(q(y)). -20*y**2 Let w(u) = -5*u**2 + 0*u**2 + 4*u**2. Let p(j) = 24*j - 5. Let d(y) = -y + 1. Suppose 0 = 6*a - 5*a + 5. Let i(c) = a*d(c) - p(c). Give w(i(k)). -361*k**2 Let u = -12 - -14. Let a(m) = 0*m - 2*m**u + 4*m**2 + m**2 - 6*m + 6. Let x(c) = -c + 1. Let k(n) = -a(n) + 6*x(n). Let q(d) = 2*d**2. Give k(q(i)). -12*i**4 Let w(d) = -4*d. Let k(z) be the second derivative of 9*z**4 - 2*z + 64. Calculate k(w(s)). 1728*s**2 Let n(v) = 6378*v. Let m(r) = 5*r**2. What is n(m(q))? 31890*q**2 Let c(n) = -104*n. Let f(i) = -2*i + 18. Let q be f(8). Let w(d) = -3*d + q*d - d. Determine w(c(x)). 208*x Let n(s) = 9*s + 6. Let f(k) = k**3 + 6*k**2 - 4*k + 23. Let x be f(-7). Let i(d) = d**x - 2*d**2 - d**2 + 3*d**2. Determine n(i(o)). 9*o**2 + 6 Let a(n) = -15*n**2. Let z(p) = -34*p - 340 + 340 + 37*p. What is z(a(t))? -45*t**2 Let a(t) be the second derivative of -65*t**3/6 - 63*t. Let p(u) = -u**2. Determine p(a(f)). -4225*f**2 Let b(n) = 14*n**2. Suppose -5*m = -5*o + 10, 34*o - 38*o + 6 = -3*m. Let l(x) be the first derivative of o*x - 1 + 1/2*x**2. Determine b(l(j)). 14*j**2 Let m(l) be the third derivative of l**4/12 + 232*l**2. Let y(b) = 100*b**2 - 3. What is y(m(t))? 400*t**2 - 3 Let h(g) = 495*g + 77. Let a(c) = 32*c + 5. Let k(t) = 77*a(t) - 5*h(t). Let r(y) be the second derivative of y**3/6 + 2*y. Give r(k(x)). -11*x Let m(p) = -6*p. Let k(o) = -o. Suppose u - 1 = -2*y, 4*u + 10 = -2. Let s(x) = y*k(x) + m(x). Let v(r) = 22 + 2*r - 22. Calculate s(v(q)). -16*q Let j(k) = -k. Let f = -64 - -93. Let g(m) = -15*m - f*m - 11*m + 12*m. What is j(g(i))? 43*i Let g(m) = 5*m. Let n(p) = 6 + 4*p + 0 + 5*p + 5. Let j(k) = 7*k - 3*k + 3*k + 6 - 2*k. Let s(v) = -11*j(v) + 6*n(v). Determine s(g(u)). -5*u Let d(j) = -j + 5*j - 29*j + j + 25*j. Let x(r) be the first derivative of -5*r**3/3 - 5*r - 2. Determine d(x(h)). -5*h**2 - 5 Let p(k) = k. Suppose 9*n + 51 = 12*n. Let q(l) = n*l + 12*l - 26*l. Calculate q(p(d)). 3*d Let t(a) = 2*a**2 - 5. Let p(n) = -1. Let m(w) = -5*p(w) + t(w). Let j(l) be the second derivative of l**4/2 - 99*l - 1. Give j(m(c)). 24*c**4 Let f(n) = 1565*n. Let s(o) = -95*o**2 - 2*o. What is f(s(k))? -148675*k**2 - 3130*k Let o(s) = -18003*s**2. Let v(t) = -4*t. Calculate o(v(r)). -288048*r**2 Let r(m) = 4*m - 43 + 43. Let g(x) be the third derivative of 3*x**4/8 + 50*x**2. Calculate g(r(a)). 36*a Let c(q) = -11109*q**2. Let f(y) = -7*y. What is c(f(d))? -544341*d**2 Let c(t) = -t**2. Let v(f) = 43*f**2 + 56*f**2 + 33*f**2 + 29*f**2 - 22*f**2. Give c(v(z)). -19321*z**4 Let d(o) = -2*o**2 + o. Let a(t) = 3293*t**2. Determine d(a(r)). -21687698*r**4 + 3293*r**2 Let g(n) be the second derivative of 19*n**3/6 - 103*n - 1. Let w(m) = 7*m. Determine w(g(l)). 133*l Suppose -2*j + 2*w + 4 = 0, 3*w + 0 - 24 = -2*j. Let p(c) = c**2 + 3. Let b(k) = -1. Let n(v) = j*b(v) + 2*p(v). Let a(f) = f + 4*f - 2*f. What is n(a(i))? 18*i**2 Let g(k) = -911903*k. Let u(r) = -2*r**2. Give u(g(x)). -1663134162818*x**2 Let i(g) = 2*g**2. Let b(m) = -660*m + 8. Determine i(b(c)). 871200*c**2 - 21120*c + 128 Suppose 5*n = 3*n + 18. Let f(r) = 2*r**2 - 9*r + n*r. Let k(s) = 25*s + 35*s + 25*s + 34*s - 115*s. What is f(k(c))? 32*c**2 Let m be (-2)/5 + (-144)/15. Let b be (-6)/(-5) + m/50. Let n(t) = -22*t - b + 27*t + 1. Let v(i) = -i**2. What is v(n(z))? -25*z**2 Let t(l) = -7*l**2. Let o = 0 + 4. Suppose 0 = o*k - 0 - 12. Let g(r) = -2*r + k*r - 5*r + 3*r. Determine t(g(p)). -7*p**2 Let b(t) = -7*t**2. Let v(n) = -4*n - 1. Let h be 2/4*-4 + 1. Let u be v(h). Let r(p) = -u + 2*p - 3 + 6. Calculate r(b(f)). -14*f**2 Let z(r) = r. Let f(w) be the first derivative of 4*w**4/3 - 3*w - 10. Let i(n) be the first derivative of f(n). What is i(z(v))? 16*v**2 Let g(r) = -5*r**2. Let o be 146/10 + (-6)/(-15). Let c = 21 - o. Let t(w) = w**2 - 6*w + 0*w**2 + c*w. What is g(t(l))? -5*l**4 Let h(m) be the third derivative of m**4/6 - 13*m**2 + 10. Let g(c) = 20*c. Calculate g(h(n)). 80*n Let q(p) be the second derivative of p**3/6 - p. Let l(x) = 10*x - 3. Let b(s) = -221*s + 68. Let v(g) = 3*b(g) + 68*l(g). What is q(v(c))? 17*c Let b(y) be the third derivative of 7*y**5/30 - 48*y**2. Let m(v) = 6*v**2. What is m(b(q))? 1176*q**4 Let f(x) = -3*x**2 - 4*x + 4. Let w(z) = 0*z + 3 - z - 3*z**2 + z**2 - 2*z. Let v(h) = -3*f(h) + 4*w(h). Let d(l) = -2*l**2. Determine d(v(i)). -2*i**4 Let u(s) = 8*s + 3*s + 11*s. Let k(h) be the third derivative of h**5/60 + 61*h**2 + 2. Determine u(k(p)). 22*p**2 Let o(x) = x**2 + x + 6615. Let d(l) = 28*l. Give d(o(b)). 28*b**2 + 28*b + 185220 Let x(v) be the first derivative of -8*v**3/3 - 75. Let d(n) = -18*n. Calculate x(d(i)). -2592*i**2 Let s be 0 + 1/(5/40). Let j(l) be the first derivative of 0*l**2 + 0*l - 2/3*l**3 - s. Let o(t) = -8*t**2. Determine o(j(m)). -32*m**4 Let j(h) = -3*h**2. Let q(d) = -2697*d**2 + 232*d. Let s(y) = -58*y**2 + 5*y. Let i(k) = -5*q(k) + 232*s(k). Calculate j(i(n)). -2523*n**4 Let w(p) = -1037*p - 7 + 7 + 1035*p. Let x(u) = -2*u**2 + 314. Determine w(x(y)). 4*y**2 - 628 Let z = 22 - 16. Let m(y) = y**2 + 2*y - 2*y + z*y**2. Let o(d) = d**2 - d. Let h(n) = 9*n**2 - 6*n. Let a(w) = -h(w) + 6*o(w). Give a(m(s)). -147*s**4 Let o(b) = 31*b. Let a(j) = 539*j. Calculate o(a(p)). 16709*p Let b(h) = 81*h + 4. Let f be b(2). Let z be (7 + -1)/(4/f). Let a(m) = 249*m - z*m + 5*m**2. Let l(t) = 2*t**2. Give a(l(v)). 20*v**4 Let c(t) = -t**2 + 2243*t. Let z(q) = 110*q. What is z(c(k))? -110*k**2 + 246730*k Let u(i) = -21171*i. Let f(q) = 3*q. Calculate f(u(l)). -63513*l Let o(q) = -116595*q**2. Let f(v) = -7*
{ "pile_set_name": "DM Mathematics" }
11*i**2 + i + 41. Calculate the lowest common multiple of u(6) and 19. 152 Let b = 134 + -107. Find the common denominator of 3 + (-6)/((-72)/260) and b/108 - (-1)/4*-89. 3 Let s = 147523/5 - 20800829/705. What is the common denominator of s and -71/105? 4935 Let n be 4/(61152/(-3542714)) + (-1 - 0). Let d = 2785/12 + n. What is the common denominator of -35/143 and d? 1001 Let l = -5705 + 325213/57. Let c = l - 1475/798. Calculate the common denominator of -83/6 and c. 42 Let v = 364429/3 - 6206501/51. Let q = 746163/3400 + v. What is the common denominator of q and -119/18? 1800 Suppose 54 = v + 2*l, 5*l = -4*v + 4*l + 181. Let s(t) = 6*t - 2. Let m be s(1). Suppose -4*k - m + 24 = 0. Calculate the least common multiple of k and v. 220 Let r = -626 - -712. Calculate the lowest common multiple of r and 43. 86 Let k(q) = 3*q**3 + q**2. Let a be k(1). Suppose 3*r + 9 = 3*v - 3, a*r + 32 = -4*v. Find the common denominator of (r/45)/(4/520) and 56/9. 9 Let l(g) = -g**3 - 7*g**2 + 32*g + 24. Let z be l(-10). Suppose -568 = -5*j + z*w, 0 = -3*j - 2*w + w + 334. Calculate the smallest common multiple of j and 11. 1232 Let u be 2091/(-21) + -6*3/42. Calculate the common denominator of 31/39 and (u/8)/(27*(-1)/2). 351 Suppose -3*d + 5*d = -19*c + 36, 0 = -2*c - 3*d + 1. What is the smallest common multiple of 236 and c? 236 Let b be ((-35)/(-6) - 7/(-42)) + -4. What is the common denominator of (10/6)/(b*(-10)/(-165)) and (166/(-10))/((-12)/(-15))? 4 Find the common denominator of ((-3)/63)/(8/202) and 5746/22253 - (-64)/272. 924 Let f = 344 + -458. Let w = f + 144. What is the smallest common multiple of 75 and w? 150 Let l = 10970952240/11 - 9029136020200/9053. Let o = l - 12472486979/110282. Let c = o + 117771. Calculate the common denominator of 79/6 and c. 402 Let k = 2526 + -35391/14. Let h = 611249/840840 - -170/1911. Let p = 129/40 - h. What is the common denominator of k and p? 154 What is the least common multiple of 40 and (-9)/(135/2) + 13288/660? 40 Let z = -14984 - -16944. What is the lowest common multiple of z and 392? 1960 Let d(g) = -2*g**3 - 19*g**2 + 8*g + 22. Let l be d(-11). Suppose 2*u - 4 = 0, 4*u + l + 35 = 5*c. What is the least common multiple of 1 + 4 + 0 + 2 and c? 476 Let o be 0 + (-32)/62*1. Let p be ((-644)/(-186) + 4)/((-104)/13). Let c = p - o. Calculate the common denominator of 113/18 and c. 36 Let w = 155/104488 - -805953937/44825352. Let s = -205/13 + w. Calculate the common denominator of s and -62/77. 231 Let y = 3/750602 - 17827891/273594429. Calculate the common denominator of -131/132 and y. 32076 Let s = -85 + 70. Calculate the common denominator of (-800)/(-36)*1/12 and (s/(-18))/((-190)/(-260)). 513 Let i(x) = x**3 + 30*x**2 - 35*x - 105. Let f be i(-31). Suppose 9*w = f*w - 100. Calculate the lowest common multiple of w and 27. 270 Let y = 2613 + -2606. Let p be (-118)/(-5) + (-8)/(-20). Suppose -y*u + 102 + p = 0. What is the least common multiple of 39 and u? 234 Let v = 6/29429 - -2029257/6592096. Find the common denominator of 55/336 and v. 672 Let t = -7649 - -55293. Let j = t + -2144072/45. Find the common denominator of j and 7/5. 45 Let f = 4945 - 4530. Calculate the smallest common multiple of f and 747. 3735 Let z(u) = 4*u + 37. Let c = 97 + -106. Let w be z(c). Calculate the lowest common multiple of 25 + w/(-1)*3 and 9. 198 Calculate the common denominator of 41/352 and (355/55)/(72/(5 - 6)). 3168 Let p be (-140)/(-25) - 5 - 19808/32980. Let v = -77495/13192 + p. What is the common denominator of v and -39/16? 16 Let t be -1 - 1/3*3. Suppose 3*u - 60 = -2*u + 5*d, 4*d + 30 = 2*u. Calculate the smallest common multiple of -3 + t + 2 + 8 and u. 45 Find the common denominator of 31347/(-112860) + (-3)/(-12) and 56/95. 1045 Let f = -2333 + 2704. Calculate the lowest common multiple of f and 56. 2968 Let f = 102787578851/2365832 + -3606012/83. Let m = f - -19/509. What is the common denominator of 23/8 and m? 56 Let x = -22553564999/7544 + 2989603. Find the common denominator of 68/3 and x. 22632 Let w = -338 + 351. Suppose -5*h + 32 = -q, -2*q = -h - 3 + w. Calculate the lowest common multiple of h and 6. 6 Let k = -18310 + 10839501/592. What is the common denominator of k and 59/1480? 2960 Let z = -10289 + 10617. What is the least common multiple of z and 1230? 4920 Let t = -129 - -439. Let z = -306 + t. Suppose -20 = -4*v, 2*v + 4 + 4 = 2*w. Calculate the least common multiple of w and z. 36 Let g(f) = -f**2 + 58*f - 201. Let q be g(37). Let o = 604 - q. What is the smallest common multiple of o and 8? 56 Let x(i) = -3*i**2 + 31*i + 40. Let o(k) = 7*k**2 - 61*k - 82. Let b(g) = 2*o(g) + 5*x(g). Find the common denominator of -38/3 and b(33). 3 What is the common denominator of (-325)/2*((-51)/(-440) - (-2)/(-22)) and 226/3*(-2)/16? 48 Let t = 4155 + -2547. Calculate the lowest common multiple of t and 20. 8040 Suppose 0 = -5*r - 2*d + 10044, d = -6*r + 11*r - 10038. Find the common denominator of -56/165 and (-4)/26 + r/2574. 495 What is the common denominator of -33 + 7 + 23 + (-72)/(-13) + -2 and 93/3380? 3380 Calculate the common denominator of 101/13212 and 3/(-66)*(-67 + 4)*40/24. 145332 Let b = 16678 - 16442. Calculate the smallest common multiple of b and 42. 4956 Let j be 54/4*(-342)/19. Let f = -237 - j. Calculate the least common multiple of 57 and f. 114 Suppose -2*k + 0*k = -2*g + 374, -g + 175 = -5*k. Let n = g + 90. Calculate the lowest common multiple of n and 14. 280 Suppose 3*o = 7*o - 2*a - 6462, 0 = o - 4*a - 1605. Calculate the common denominator of (-24)/(-10)*(-1960)/o and -6/25. 275 Find the common denominator of (15 + 825/(-44))/(-3)*4/(-45490) and -101/12. 54588 Let b = -149503/21670 + -2/2167. Let n = 21805438/4155 + -5248. Let x = n - -67877/24930. Calculate the common denominator of x and b. 90 Suppose 6 + 309 = 5*g. Let z = g - 57. Calculate the least common multiple of z and 90. 90 Suppose 0 = 234*a - 238*a + 20, -x + 3*a = 3. What is the lowest common multiple of x and 452? 1356 Let a = -1019 + 941. What is the common denominator of -61/16 and a/(-800)*44 - 5? 400 Let a = -32/531 - -32647/4248. Calculate the common denominator of a and 5/1832. 1832 Let b = -6112789/240 - -25470. What is the common denominator of b and -113/640? 1920 Let d be (-8)/10 - (-10218)/(-65). Let n = -149 - d. What is the lowest common multiple of 151 and n? 1359 Let b = -67124/105 + 4502/7. Find the common denominator of b and 119/8088. 40440 Let w(n) = -n + 30. What is the smallest common multiple of (513/3)/(0 + 3) and w(15)? 285 Let h(y) = -y**3 + 6*y - 6. Let i be h(-3). Suppose 0 = i*r - 3, -227 = -3*c - 2*r - 0*r. What is the smallest common multiple of c and 10? 150 Let m(a) = -6*a**3 - 11*a**2 - 5*a + 19. Let d be m(8). Let o = 76051/20 + d. Calculate the common denominator of -1/12 and o. 60 Let z(k) = k**3 + 3*k**2 - 2*k. Suppose 0 - 24 = -8*t. What is the smallest common multiple of z(1) and t? 6 Let s = -170750473/1247 - -136929. Calculate the common denominator of s and -24/145. 6235 Let c(z) = 15*z + 75. Let h be c(-5). Suppose -4*a + 22 = 2*v - 5*v, h = 5*v - 10. Suppose 4*q = 19 + 9. Calculate the lowest common multiple of q and a. 7 Find the common denominator of 20/439 and (-4)/(-38) + ((-3)/(-1) - 3372/627). 4829 Let a(x) = -3*x - 47. Let b be a(-16). Suppose 2*v + 3*k = 3*v + b, -v - 2 = -4*k. Find the common denominator of -81/16 and (v/6)/((-16)/(-92)). 48 Let k(h) = -h**3 - 100*h**2 + 11*h + 1133. Calculate the lowest common multiple of -1 + 0 + 9 + -4 and k(-100). 132 Suppose -2*x + 3*k + 42 = 0, x = 770*k - 767*k + 27. Suppose 3*h + 2*g - 85 = 0, h - 3*h = -3*g - 35. Calculate the smallest common multiple of x and h. 75 Let s(f) = 31*f + 39. Let b(y) = -46*y - 58. Let z(g) = -5*b(g) - 8*s(g). Let l = 15 - 5. What is the least common multiple of z(-3) and l? 160 What is the least common multiple of ((-73)/(-146))/((-2)/12) + -1 + 129 and 6? 750 Suppose 193*n = 196*n - 9. Suppose -5*b - 50 = -p, -n*p = -3*b + 19 - 121. What is the least common multiple of 30 and p? 30 Suppose 2*i = 90*i - 1760. Suppose 0 = -3*q - 2*b + 126, 4*q - 4*b = -q + 188. Calculate the least common multiple of i and q. 40 Suppose 88 = -0*y + 11*y. Suppose -6 = 2*t, y*u = 3*u + t + 8. Cal
{ "pile_set_name": "DM Mathematics" }
)/g) assuming g is positive. g**(-7/3) Simplify (b*b**25*b)/(b*b/b**19*b) assuming b is positive. b**43 Simplify ((p/(p*p/(((p*p*p/(p/(((p/(p*p*p**(-26)/p))/p)/p)*p))/p)/p)))/p)**2 assuming p is positive. p**42 Simplify (p*p*(p/(p*p**(2/11)))/p*p/p**(1/4)*p*p*p)/(p**0)**10 assuming p is positive. p**(201/44) Simplify (((k/k**(-6/13))/k*k)**(-39))**(-3/19) assuming k is positive. k**9 Simplify z/z**(-1/6)*z**(4/3)*((z*(z*(z*z/z**5)/z*z)/z*z)/z)/z**(-7) assuming z is positive. z**(15/2) Simplify (z*z/(z*z**7)*z/(z/z**(-1/3)))/(z/(z/((z*(z**(-2/7)*z)/z)/z*z)))**19 assuming z is positive. z**(-418/21) Simplify r*r/r**(2/23)*r*r*((r/r**(-19/2))/r)/r*r assuming r is positive. r**(617/46) Simplify h**(-1/2)*h/h**(1/2)*h**(-4/3)*h**(-4) assuming h is positive. h**(-16/3) Simplify (t/(t*t*t/t**(4/19)))/t**(4/3) assuming t is positive. t**(-178/57) Simplify (h**6/h**(2/25))/(h*(h*h/(h/(h/h**(-2/21)))*h)/h*h*h*h**(1/4)*h) assuming h is positive. h**(-893/2100) Simplify (t*t/t**9)**(3/13) assuming t is positive. t**(-21/13) Simplify (l**(3/2)/l**(-9))**(-7/3) assuming l is positive. l**(-49/2) Simplify (d/(d/d**(2/3))*d**(3/10)*d)/(d**0)**(-6) assuming d is positive. d**(59/30) Simplify r**(-2)*r*r**(1/3)*(r/((((r*r/(r*r*r/r**(-4/5)))/r)/r)/r))/r**(-2) assuming r is positive. r**(107/15) Simplify (k*k**2/k)/k**(-4/3)*((k/k**2)/k)**(4/11) assuming k is positive. k**(86/33) Simplify a**7/a*a**(28/9)*a assuming a is positive. a**(91/9) Simplify m/(m/(m**(-2/15)*m))*m*m*m/(m*m**(-2/21))*(m*m/(m/(m**(2/3)/m)*m*m))/m**(-3) assuming m is positive. m**(162/35) Simplify (v*v**(1/5))**(-1/26)*v**(-6/13)/v*v**2*v assuming v is positive. v**(97/65) Simplify d**(-3/16)*d*d*d*d*d**(-27)*d assuming d is positive. d**(-355/16) Simplify a*a/(a*a/(a*a**8)*a)*a**(5/3)*(a*a*a*a**(2/5)*a*a)**16 assuming a is positive. a**(1441/15) Simplify (m**(-24))**(2/95) assuming m is positive. m**(-48/95) Simplify ((h*h**(-2/5))**(-8))**(-30) assuming h is positive. h**144 Simplify (t*t*t**(-14/5))**(-3/26) assuming t is positive. t**(6/65) Simplify v*v*v/(v/(v*v/((v/(v**(-3/10)/v))/v))*v)*v*v*v/(v*((v/v**(-6)*v)/v*v*v)/v)*v assuming v is positive. v**(-33/10) Simplify (w**(-2/7)*w)**(-7/2)*((w**(1/4)/w)/w)**(-2/85) assuming w is positive. w**(-209/85) Simplify (s*s/(s*(s*s**(3/7)*s)/s)*s)/s**26 assuming s is positive. s**(-178/7) Simplify (f*f**(1/10)*f)**(-37) assuming f is positive. f**(-777/10) Simplify h*h**7*h*h**4*(h*(h*h**1)/h)**(-50) assuming h is positive. h**(-87) Simplify m**(2/7)*(m*m**(-1/5))/m*m*m*m/m**(1/2)*m*m*m**(1/7) assuming m is positive. m**(331/70) Simplify r**(6/11)*r*(r/(r*r**5/r*r))/r*r assuming r is positive. r**(-38/11) Simplify (a/a**(1/2))**29 assuming a is positive. a**(29/2) Simplify (((g*g/(g/((g*g**10/g*g*g)/g*g)))/g)/g)/((g*(g*g**(5/4))/g*g*g)/g) assuming g is positive. g**(31/4) Simplify ((z**(-5/3)/z)/z)**(-12/5) assuming z is positive. z**(44/5) Simplify ((f*f/f**(-2))**(-11/2))**48 assuming f is positive. f**(-1056) Simplify v*v/(((v/v**(-8))/v)/v*v)*v*(v**3*v)/v*((v*v**(-8))/v)/v**(-7) assuming v is positive. v**(-3) Simplify (u*u/u**(5/4)*((u**(-6)/u*u)/u*u)/u)**(-2/15) assuming u is positive. u**(5/6) Simplify (f/(f/f**(-2)))/(f**8/f) assuming f is positive. f**(-9) Simplify ((y**(-6/5)/y)/y)/y**(3/2) assuming y is positive. y**(-47/10) Simplify r**22/(r**(-18)/r) assuming r is positive. r**41 Simplify (t*t**18)/((t/t**(-9)*t)/t) assuming t is positive. t**9 Simplify (s*s*s**(2/5)*s)**(2/45) assuming s is positive. s**(34/225) Simplify d**32*d*d**15/d assuming d is positive. d**47 Simplify b*b/(b*(b/b**10)/b)*b**(4/9) assuming b is positive. b**(103/9) Simplify (i*i**(3/5))**(-26) assuming i is positive. i**(-208/5) Simplify (q**(2/15)/((q*q**4)/q))/(q**1)**31 assuming q is positive. q**(-523/15) Simplify q**6*q*q**5*((q**(-1/2)/q)/q)**(8/7) assuming q is positive. q**(64/7) Simplify (m**(5/6)*m**(3/5))**(9/5) assuming m is positive. m**(129/50) Simplify (n*n/n**(-7/4)*n)**(-1/45) assuming n is positive. n**(-19/180) Simplify (p**(-1/21)*(p*(p/p**(2/9))/p)/p)**(10/13) assuming p is positive. p**(-170/819) Simplify (z**(5/6)/(z*z*z**(-3/8)*z))/((z*z**(-2))/(z/((z/((z**(-2/17)*z)/z))/z)*z)) assuming z is positive. z**(445/408) Simplify n*((n/(n/n**6))/n)/n*n*n**33 assuming n is positive. n**39 Simplify (x*(((x*x**(-1/2))/x)/x)/x)**(-2/123)*(x/x**(4/7))/x*x**(-2/3)*x assuming x is positive. x**(-184/861) Simplify (g**(-5)/g)/(g/(((g/(g/(g/(g**3/g))))/g)/g))*g/(g*g**2/g*g)*g**(2/7) assuming g is positive. g**(-82/7) Simplify ((d*d/d**(-4/3))/(d*d/d**(-3)))/(d/(d*d*d**3)*d*d*d/(d/d**(2/17)*d)) assuming d is positive. d**(62/51) Simplify (z**(2/25)/(z*z**(-6)))**(-3) assuming z is positive. z**(-381/25) Simplify (c/(c/c**(-2)))**(-7)*c**(-1/2)/c*c/(c*c**(-7)/c) assuming c is positive. c**(41/2) Simplify (r*((r/(r*r**(1/23)))/r)/r*r*r)/(r**26*r) assuming r is positive. r**(-599/23) Simplify (p**(-1/2)/(p/(p*p**(1/2)*p)*p))/(p/p**0*p*p**(2/9)) assuming p is positive. p**(-20/9) Simplify ((k*k**(-4))/k**7)/(k*k**(2/13)*k**(-1/5)) assuming k is positive. k**(-712/65) Simplify ((n/n**(1/2))/(n/(n*n*n*n/(n/(n/(n**(-2/9)*n)))*n*n)))/(n/n**1)**(-1/3) assuming n is positive. n**(85/18) Simplify ((t**(-2/11)*t*t*t)/t)/(t*t**(-5))*t**2/((t**(1/2)*t)/t*t) assuming t is positive. t**(139/22) Simplify (q**9/(q/(q/((q/q**(-4/9)*q)/q))))**(-11/7) assuming q is positive. q**(-748/63) Simplify ((c/(c/(c**(-12)/c)))/c)**(-27) assuming c is positive. c**378 Simplify (c/((((c/(c*c/(c**(-2/25)*c)*c))/c)/c)/c))**3 assuming c is positive. c**(381/25) Simplify v**(-1)/v**10*(v**0)**(1/21) assuming v is positive. v**(-11) Simplify (k/(k*k**(1/5)))/(k/(k*k**(-2/9)*k))*k*k/k**(-4/7)*(k*(k/(k**(-6)/k))/k)/k assuming k is positive. k**(3197/315) Simplify ((s/s**(-3/5))/s)/s*s*(s/(s/s**(-2/19)))/s assuming s is positive. s**(-48/95) Simplify f**(-1/5)*f/f**(4/9)*f*(f/(f**1*f))**(-40/3) assuming f is positive. f**(661/45) Simplify h**3*h**(-2/65)*h assuming h is positive. h**(258/65) Simplify (a**(1/3)/a)**(-3/20)*(a*a/(a**(2/5)/a*a)*a)**(1/12) assuming a is positive. a**(19/60) Simplify ((r/r**7)/(r*(r*r/(r*r**(2/5)))/r))**(1/43) assuming r is positive. r**(-33/215) Simplify (u*(u*u*u*u**(2/15))/u*u**(1/8))/((u/u**(-2/9))/(u*u**(-5)*u)) assuming u is positive. u**(-347/360) Simplify (r*r*(r/(r*r/r**(-3/8)))/r)/(r*r**(2/9)*r) assuming r is positive. r**(-187/72) Simplify x*x*x**(-5)*x*x*x**(-2/7)/x*x*(x/x**(-1))/((x**(2/5)*x)/x) assuming x is positive. x**(11/35) Simplify (c**(-1/4)*c)**21*(c*c/c**1)**(-1/74) assuming c is positive. c**(2329/148) Simplify ((((c/c**9)/c)/c)/(c*c**(-3)))/(c**(-1/4))**(-1) assuming c is positive. c**(-33/4) Simplify ((d/(d/(d*d**1/d*d*d))*d)**38)**5 assuming d is positive. d**760 Simplify ((h*h*h*h/(h*h**(-1)))**(-1/7))**(-49) assuming h is positive. h**28 Simplify d**32/(d*d**(11/3)*d) assuming d is positive. d**(79/3) Simplify f/(f*f*f*f/f**(-8))*f*f/(f**(1/43)/f*f) assuming f is positive. f**(-388/43) Simplify i*(i*i**1*i)/i*i**(-2/3)*(i*i**(-5/3)/i*i)/(i/(i/i**(3/7))) assuming i is positive. i**(26/21) Simplify ((q**(-12/5)*q*q)/q)/(q*q/q**20) assuming q is positive. q**(83/5) Simplify c**(-2/5)*c/(c*((c/((c/((((((c**(-4)/c)/c)/c)/c)/c)/c))/c))/c)/c)*c**(-2/9)*c*c*c**6 assuming c is positive. c**(827/45) Simplify (w*w**(1/12))**(2/113) assuming w is positive. w**(13/678) Simplify (a*a*(a**(-2)*a)/a)**(-6)/(a**(-4)*a*a**(1/5)*a) assuming a is positive. a**(9/5) Simplify y/(y**(10/9)*y)*y*y**(-26) assuming y is positive. y**(-235/9) Simplify m*m*(m*m**(-1/5))/m*m*m/(m**(-2/43)*m*m) assuming m is positive. m**(397/215) Simplify ((i/(i/i**(2/5)*i)*i)/i*i*i)**2/((i*i*i**(-2/7))/(i*i**(-2/3))) assuming i is positive. i**(149/105) Simplify n**(1/7)*n*n**(-12) assuming n is positive. n**(-76/7) Simplify (c*c**(-15))/c**(2/15) assuming c is positive. c**(-212/15) Simplify r/(r/r**41)*(r/(r/(r/(r**(-12/7)*r))))/r assuming r is positive. r**(292/7) Simplify (a*(a/a**(2/15)*a)/a*a)/(a*a**(3/2)*a*a) assuming a is positive. a**(-49/30) Simplify (g/(g/g**(-3)))/((g/(g**(6/7)*g))/g)*(g/(g*g**1))**(2/23) assuming g is positive. g**(-198/161) Simplify (c/(c**19/c))**(12/5) assuming c is positive. c**(-204/5) Simplify ((n/(n/n**(4/7)))/n)/n**(-1/36) assuming n is
{ "pile_set_name": "DM Mathematics" }
- 1 + 108*f**y wrt f? 93*f**2 Let o(h) = -266*h - 109. Let x be o(-15). Find the second derivative of -3880*t**3 + 2*t**2 + x*t**3 + 6*t - 49*t wrt t. 6*t + 4 Let g(h) = h**2 - 7*h - 16. Let o be g(20). Let w = 66 + o. Differentiate 22*i - w - 7*i + 321 with respect to i. 15 Let z(t) = -15807*t**3 - 3684*t**2 - 65. Let r(q) = 7903*q**3 + 1841*q**2 + 39. Let p(y) = -5*r(y) - 3*z(y). Find the third derivative of p(b) wrt b. 47436 Differentiate 392 + 450 - 665 - 320*o - o**3 with respect to o. -3*o**2 - 320 Let j(w) be the second derivative of w**7/42 + w**6/15 + 116*w**5/5 - 4589*w**3/6 + w + 2024. Find the second derivative of j(z) wrt z. 20*z**3 + 24*z**2 + 2784*z Suppose 0 = 3*c - 23*c. Differentiate c*s**2 + 25*s**2 + 220 + 34*s**3 - 23*s**2 with respect to s. 102*s**2 + 4*s What is the third derivative of -1884*k**3 - 32*k + 122*k - 33*k - 356*k**2 - 31*k - 27*k wrt k? -11304 What is the second derivative of -1 + 5*v**2 - 951*v - 5*v**3 - 5*v**2 - 765*v**3 - 1564*v**3 wrt v? -14004*v Let f(z) = 6*z**2 + 10*z - 25. Let u be f(7). Find the second derivative of -172*j**2 + 28*j**3 - 27*j + u*j**2 - 165*j**2 wrt j. 168*j + 4 Let r be 40/(-25)*(-50)/4. Let b = -18 + r. Differentiate -5*j**3 - j**2 - 33 + 13 + j**b wrt j. -15*j**2 Let i(m) be the third derivative of -273*m**4/2 + 3011*m**3/3 - 5*m**2 - 3. What is the first derivative of i(a) wrt a? -3276 Let c = 148 - 114. Find the second derivative of -1924*j**4 - c*j + 9*j**5 + 1924*j**4 wrt j. 180*j**3 Let p(s) be the first derivative of -2326*s**6/3 + 197*s**2/2 - 7*s + 7. Find the second derivative of p(o) wrt o. -93040*o**3 Let c = -10 + 10. Suppose -3*s - 24 + 39 = c. What is the second derivative of -o**s + o - 7*o**5 + 2*o**5 - 8*o wrt o? -120*o**3 Let l(i) be the second derivative of -5*i**8/56 - 50*i**7/21 - 5*i**4/4 + 7*i**3/6 - 42*i + 5. Find the third derivative of l(s) wrt s. -600*s**3 - 6000*s**2 Let k(l) be the first derivative of 665*l**6/6 + 3*l**4/4 + 3*l**3 - 7*l - 3114. Find the third derivative of k(i) wrt i. 39900*i**2 + 18 Let t(d) = d**4 - d**3 + d**2 + 2*d + 2. Let c(n) = -4599*n**3 - 3*n**2 - 4*n + 823. Let x(g) = -c(g) - 2*t(g). Find the third derivative of x(k) wrt k. -48*k + 27606 Let o be 3 - (-3)/12*-4. Suppose -2*h - 3*z = -42, 0*z = z - o. What is the second derivative of -6*p - 5*p + 13*p**3 - h*p**3 wrt p? -30*p Let s(k) = -k**3 + 7*k**2 - 3*k - 2. Let o be s(8). Let h = -85 - o. Find the third derivative of 8*z**6 - 3*z**2 + 16*z**2 + h*z**2 wrt z. 960*z**3 Let y(m) be the second derivative of 155*m**6/6 - 299*m**2 + 2204*m. Differentiate y(n) wrt n. 3100*n**3 Let q(d) = -58*d**3 + 3*d**2 - 10*d - 14. Let w be q(-4). What is the first derivative of -3827 + 19*n**3 + w - 76*n**3 wrt n? -171*n**2 Let w(l) be the third derivative of -1/42*l**7 + 1/8*l**4 - 1/20*l**5 + 0*l**6 + 2*l**3 + 4*l**2 + 0 + 0*l. Find the second derivative of w(v) wrt v. -60*v**2 - 6 Let d(v) be the first derivative of -4378*v**5/5 - 65*v**2/2 - 52*v + 7688. Find the second derivative of d(f) wrt f. -52536*f**2 Let x be 45/30 + 5/2. Suppose g + 4*m - 11 = x, -2*g + 2*m = -10. What is the first derivative of 38*r - 5 - 2 + g*r**2 - 38*r wrt r? 14*r Find the third derivative of 962*j**3 + 38*j**2 - 19*j**2 - 206*j**3 + 11*j**2 + 20*j**2 wrt j. 4536 Suppose 3*w - 2*s + 35 = 226, 4*s = -w + 59. Find the first derivative of 53 - w*q**3 + 22 + 12*q**3 - 13 wrt q. -153*q**2 Let h(y) = -21*y + 2597. Let j(v) = 3*v**3 - 1. Let n(x) = -h(x) - 4*j(x). What is the derivative of n(t) wrt t? -36*t**2 + 21 Differentiate -1510*b**4 - 1857 + 30*b**3 - b + 399 - 30*b**3 with respect to b. -6040*b**3 - 1 Let h be 3*15 + 0/(-8 + 3). Suppose 3*q - h = 3*y, -2*y + 4 = 2. Find the third derivative of q*m**5 + 15*m**2 - 20*m**2 - 10*m**2 wrt m. 960*m**2 What is the second derivative of -279*m + 1213*m**3 - 476571 + 476571 wrt m? 7278*m Let x(b) be the first derivative of 29*b + 56*b + 52 - 29*b - 5*b**3 + 23*b**3. Find the first derivative of x(d) wrt d. 108*d Let t(h) = 945*h**2 + 3486*h + 20. Let i(s) = 1417*s**2 + 5230*s + 32. Let c(a) = 5*i(a) - 8*t(a). Find the second derivative of c(r) wrt r. -950 Suppose x + 140 = 5*x. What is the first derivative of -78 + 2*r**3 - 30*r**3 + x*r**3 wrt r? 21*r**2 Suppose -i + 1 = p, -4*i = 3*p + 2*p - 4. Suppose -4*o - o + 15 = p. Differentiate 1357*u + u**o - 5 - 1357*u wrt u. 3*u**2 Let z(d) = -d - 2. Let h be z(-4). What is the first derivative of 58*w**h - 30*w**2 - 8 - 5*w + 5*w wrt w? 56*w Let z(o) = -7*o**2 + 28*o + 685. Let b(a) = a**2 + 2*a. Let c(j) = 4*b(j) + z(j). Differentiate c(r) wrt r. -6*r + 36 Let r be (72/(-11))/(-3) + 922/(-5071). Let d(j) be the first derivative of 14*j**r + 7/3*j**3 + 0*j - 2. Find the second derivative of d(t) wrt t. 14 What is the third derivative of 276*p**3 - 3 + 3 - 974*p**2 + 2*p**5 - 274*p**3 wrt p? 120*p**2 + 12 Let g = 9026 + -4804. Let h(w) be the first derivative of -3*w**7 + 10 - 4222*w**4 + g*w**4 + 16*w**3. Find the third derivative of h(p) wrt p. -2520*p**3 Let d(h) = -h**3 + 6*h**2 - 2*h + 9. Let p be d(6). Let b be p*(1 + -3) + 0. Find the first derivative of -10*l**4 + 14*l**4 + 13*l**4 + b*l**4 - 12 wrt l. 92*l**3 Suppose -14*o - 51 = -17*o. Find the first derivative of -o*b + 18*b - 12 - 25 + 24*b wrt b. 25 Suppose 0 - 36 = -6*h. Let i be ((-2)/h)/((-1)/6). What is the third derivative of -10*y**4 + 33*y**2 - 10*y**4 + 8*y**4 + 4*y**i wrt y? -288*y What is the second derivative of -118*h**5 + 156941*h**4 + 889*h**5 + 947*h - 156941*h**4 wrt h? 15420*h**3 Let f(y) be the second derivative of 494*y**5/5 + 1501*y**4/12 - 49*y + 14. Find the third derivative of f(q) wrt q. 11856 Let m(a) = 6*a**3 - 5*a + 137. Let d(j) = 6*j**3 - 4*j + 138. Let v = -308 + 305. Let b(o) = v*d(o) + 2*m(o). Differentiate b(w) with respect to w. -18*w**2 + 2 Find the second derivative of 58*z**3 + 6 + 12*z**4 + 3*z**3 + 2*z - 8*z**3 + 45 + 52 wrt z. 144*z**2 + 318*z Let u(t) = -83*t**2 - t + 7. Suppose -10*b + 12*b = 44. Let m(f) = 330*f**2 + 4*f - 27. Let g(c) = b*u(c) + 6*m(c). Find the second derivative of g(y) wrt y. 308 Let g(n) = 25344*n**4 - 22852*n**2 + 39. Let r(y) = 6336*y**4 - 5713*y**2 + 9. Let k(h) = -3*g(h) + 13*r(h). Find the third derivative of k(t) wrt t. 152064*t Let q(g) = 4*g**2 + 3*g + 2. Let c be q(-9). What is the first derivative of 18*n**4 + 310 + c - 633 wrt n? 72*n**3 Suppose -3*h = 5*r - 20 - 113, 0 = -3*r + 4*h + 74. Let n = -9 + r. What is the third derivative of -7*z**2 + 6*z**2 + 5*z**6 + 2*z**6 + n*z**2 wrt z? 840*z**3 What is the derivative of -4838 - 24644*h + 49286*h - 8416*h**3 - 24642*h wrt h? -25248*h**2 Suppose 0*a - 4*a + 52 = 0. What is the second derivative of 2*x + 19*x**3 + 0*x - a*x**3 + 4*x**5 + x**5 wrt x? 100*x**3 + 36*x What is the second derivative of -9*o**4 + 9*o**4 + 437*o - 243*o**5 + 625*o - o**3 - 78*o**5 wrt o? -6420*o**3 - 6*o What is the second derivative of -3215*x**2 + 6 - 164*x**2 + 1050*x**2 + 39*x - 1673*x**2 + 12 wrt x? -8004 Let n(c) = 1031*c**2 + 524*c. Let t(l) = -2061*l**2 - 1047*l. Let d(s) = -5*n(s) - 2*t(s). Find the second derivative of d(m) wrt m. -2066 Let h(a) be the first derivative of -178 + 24*a + 56*a**2 + 58*a**2 - 25*a**2 - 10*a**2. What is the derivative of h(v) wrt v? 158 Find the first derivative of 14088082*p - 5679*p**2 - 14088082*p + 12938 wrt p. -11358*p What is the second derivative of 5291*j**2 + 404*j + 1827*j**2 + 3000*j + 1727*j**2 wrt j? 17690 Let j be (-4)/14 - (-7 + 297/63). What is the derivative of -397 - j*p**3 + 8*p**3 + 14*p**3 + 438 wrt p? 60*p**2 Let p(g) be the third derivative of g**7/105 - 3*g**6/40 + g**5/6 - 239*g**3 - 7417*g**2. What is the first derivative of p(m) wrt m? 8*m**3 - 27*m**2 + 20*m Suppose 6*u = -1 - 5. Let b be (-3)/(-9)*(u + 10). What is the second derivative of -18*k**5 + 10*k**5 - 8*k**5 - b*k wrt k? -320*k**3 What is the third derivative of r**3 - 11*r**2 - 207*r**5 - 2 + 16 - 390*r**5 - r**3 wrt r? -35820*r**2 Let t(p) = -222*p**2 + 199*p + 18. Let i(c) = -90*c - 1 - 443*c**2 + 34 + 489*c. Let w(d) = -6*i(d) + 11*t(d). Find the second derivative of w(m) wrt m. 432 Let b(x) be the third derivative of -35*x**5/12 - x**4/6 - 197*x**3/6 + 1530*x**2. What is the derivative of b(y) wrt y? -350*y - 4 Let y = 112
{ "pile_set_name": "DM Mathematics" }
next term in 11686245, 23372490, 35058735, 46744980, 58431225, 70117470? 81803715 What is next in 224349057, 224349056, 224349055, 224349054, 224349053? 224349052 What comes next: 270112, 540183, 810232, 1080259, 1350264, 1620247? 1890208 What is next in -143237, -142109, -140229, -137597, -134213? -130077 What comes next: -990, -1878, -3138, -4764, -6750, -9090? -11778 What is the next term in 195149, 780711, 1756647, 3122957? 4879641 What is the next term in -17199, -136873, -461471, -1093455, -2135287, -3689429? -5858343 What is the next term in 201908, 807625, 1817172, 3230567, 5047828, 7268973, 9894020, 12922987? 16355892 What is the next term in -13822, -13861, -13864, -13813, -13690, -13477? -13156 What comes next: 40579, 81302, 122025, 162748? 203471 What is the next term in 3301, 5174, 8683, 14146, 21881? 32206 What comes next: 137914, 275564, 413214? 550864 What is the next term in -1571, -1019, 239, 2557, 6289? 11789 What is next in -1710, -3185, -4664, -6141, -7610? -9065 What is the next term in 63, -4425, -11903, -22371, -35829? 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42453 What is the next term in -13020, -25501, -37982, -50463? -62944 What is the next term in 333584, 2668352, 9005466, 21346100, 41691428? 72042624 What is the next term in 49531154, 99062306, 148593458, 198124610, 247655762? 297186914 What is next in -978993, -978964, -978935, -978906, -978877? -978848 What is the next term in -9610, -24562, -49478, -84358, -129202? -184010 What is next in 414, 781, 1218, 1725? 2302 What is next in -3444, -12776, -26526, -43218, -61376, -79524, -96186, -109886? -119148 What is next in 624360, 1248707, 1873020, 2497281, 3121472, 3745575? 4369572 What is the next term in 51075, 102980, 155715, 209280, 263675, 318900? 374955 What is the next term in -41500419, -41500420, -41500421, -41500422, -41500423, -41500424? -41500425 What comes next: 1128, 4244, 9468, 16806, 26264? 37848 What is next in -6807, -27144, -60877, -107868, -167979, -241072? -327009 What is the next term in 14204677, 28409386, 42614095? 56818804 What is the next term in -99266, -99132, -98910, -98600, -98202? -97716 What is next in -262140, -262149, -262154, -262155? -262152 What is next in -4492916, -8985806, -13478696, -17971586, -22464476, -26957366? -31450256 What is next in -307541, -307562, -307611, -307700, -307841, -308046, -308327, -308696? -309165 What is next in -1720, -1771, -1798, -1795, -1756, -1675, -1546, -1363? -1120 What comes next: -725, -2128, -3401, -4550, -5581, -6500, -7313? -8026 What is next in 182633, 365029, 547185, 729101, 910777, 1092213, 1273409? 1454365 What is the next term in 2922157, 2922287, 2922417, 2922547, 2922677? 2922807 What is the next term in 394863, 394823, 394783? 394743 What is next in 10035747, 20071495, 30107245, 40142997, 50178751? 60214507 What is the next term in 8411617, 8411669, 8411721? 8411773 What comes next: 6346, 8161, 9976, 11791, 13606, 15421? 17236 What is the next term in 654, -80, -856, -1686, -2582, -3556, -4620? -5786 What is the next term in -92493128, -92493126, -92493124, -92493122, -92493120? -92493118 What is the next term in 135096, 270029, 404804, 539421, 673880? 808181 What is next in 203645, 406756, 609867, 812978? 1016089 What comes next: 595, 2978, 7007, 12682, 20003, 28970, 39583? 51842 What comes next: -19502, -16133, -12764? -9395 What is next in -11207, -22438, -33715, -45062, -56503, -68062, -79763, -91630? -103687 What comes next: 10668815, 10668818, 10668823, 10668830, 10668839, 10668850, 10668863? 10668878 What is the next term in 114641, 229311, 343977, 458639, 573297, 687951, 802601? 917247 What is next in -70523, -70416, -70309, -70202, -70095, -69988? -69881 What is next in 8754, 34416, 77216, 137154, 214230? 308444 What comes next: 14879, 15244, 15609? 15974 What comes next: 1287, 888, -163, -2190, -5517? -10468 What is next in -573888, -2295366, -5164502, -9181302, -14345772? -20657918 What is the next term in -586295, -1172640, -1758985, -2345330, -2931675? -3518020 What is next in -223, -121, 1, 149, 329, 547, 809, 1121? 1489 What is next in 153583, 152103, 150623, 149143, 147663, 146183? 144703 What is next in -4585877, -4585962, -4586199, -4586666, -4587441? -4588602 What comes next: -35022, -34201, -32832, -30915, -28450, -25437, -21876? -17767 What is the next term in 1942, 2080, 2272, 2530, 2866, 3292, 3820? 4462 What comes next: -21993, -43901, -65829, -87777, -109745? -131733 What comes next: -1552, -1480, -1408, -1336, -1264, -1192? -1120 What is next in 17897842, 17897836, 17897830, 17897824? 17897818 What is next in -18993, -38645, -58295, -77943, -97589, -117233? -136875 What is the next term in 347119, 694256, 1041397, 1388542, 1735691, 2082844? 2430001 What is the next term in 1896, 8251, 14606, 20961, 27316, 33671? 40026 What is next in -17994, -17416, -16840, -16266, -15694, -15124? -14556 What is next in 171, 206, 229, 240, 239, 226, 201? 164 What is next in -46593697, -46593682, -46593657, -46593616, -46593553, -46593462, -46593337, -46593172? -46592961 What is the next term in 1791144, 1791172, 1791228, 1791318, 1791448, 1791624, 1791852, 1792138? 1792488 What is next in 13429, 26019, 38635, 51289, 63993, 76759, 89599? 102525 What is next in 58418, 58389, 58348, 58295, 58230, 58153, 58064? 57963 What is next in 16654366, 16654368, 16654380, 16654408, 16654458, 16654536? 16654648 What comes next: -114523, -229015, -343507? -457999 What is the next term in -238841, -238939, -239077, -239255, -239473, -239731? -240029 What comes next: 217245776, 434491550, 651737324? 868983098 What is next in 121054, 121101, 121148, 121195, 121242? 121289 What comes next: -584, -1717, -3444, -5765, -8680, -12189? -16292 What is next in -2336624, -4673395, -7010166? -9346937 What comes next: 4781, 25513, 60077, 108479, 170725, 246821, 336773? 440587 What is the next term in -3283452, -6566944, -9850436? -13133928 What comes next: 18783, 75203, 169251, 300939, 470279, 677283, 921963? 1204331 What comes next: 6143097, 6143100, 6143103, 6143106? 6143109 What is next in -2612, -2475, -2078, -1289, 24, 1993, 4750, 8427? 13156 What is the next term in 722, 2461, 5366, 9437,
{ "pile_set_name": "DM Mathematics" }
) - (2 + -4) - 1? 2/23 What is ((-40)/30)/(4/6)? -2 Evaluate 0/((-1 - -1) + (-11 - -10)). 0 What is the value of (-5)/1 + 3 + 5 - 3? 0 28/18 + 11/(-9) + 1 4/3 Evaluate ((-7)/(-2))/(-7) + (-1)/14. -4/7 Evaluate 27/(-6)*4/(-6) - 2. 1 What is 3 - (2 - -2)/4? 2 77/(-99) + 4/2 + -1 2/9 ((-12)/(-171))/((-14)/(-21)) 2/19 What is the value of (2/(-6))/((-4)/(-6))? -1/2 8/(-2) - (6 - (-68)/(-7)) -2/7 Evaluate (14 - (-820)/(-60))*(-18)/(-4). 3/2 What is (-2 + 7 + 1)*(-2)/(-4)? 3 150/(-50)*(-5)/(-3) -5 ((-75)/5 + -3)*2/6 -6 Calculate ((-1)/(-1)*-1)/1. -1 Evaluate -2 + (1/(-9) - -2). -1/9 What is 5 + 8/((-8)/9)? -4 Evaluate ((288/(-20))/18)/(2/5). -2 What is ((-2)/(-3))/((-48)/(-27))? 3/8 What is ((-24)/18)/(((-8)/(-18))/2)? -6 -1 + (6/8 - (-3)/(-6)) -3/4 (20/100)/(5 + 254/(-50)) -5/2 Calculate -3 - (-41)/13 - (-200)/390. 2/3 What is 6*(-2)/(-15) + 18/15? 2 Evaluate (-2)/6*45/(-10). 3/2 Calculate (13/(-39))/(12/(-27)*-3). -1/4 Evaluate (-1)/(-4) + 6 + -6. 1/4 (-50)/75 - 17/(-12) 3/4 What is the value of (-104)/(-24) - 2/(1*6)? 4 (-5 - -2)/(-3 + 72/21) -7 What is ((4/42)/(-1))/(26/(-117))? 3/7 Calculate ((-4)/8)/(1/14) - -11. 4 Calculate (0 - (-54)/(-40)) + 69/92. -3/5 What is the value of 4/(-1) - (-6 - 1)? 3 What is 8/40*-6*(-20)/8? 3 What is the value of ((-115)/(-35) + -3)*(-13)/26? -1/7 Evaluate 80/24 + -6 + 2. -2/3 What is the value of 27/108 + ((-27)/20)/3? -1/5 Evaluate (2 - -5)/(-72 - -79). 1 Evaluate 36/(-8)*20/(-45). 2 4 - ((-168)/(-63))/((-2)/3) 8 What is the value of 31/(-9) + 5 + -2? -4/9 Calculate (-88)/693 - (-4)/7. 4/9 What is the value of 20/15 - (-16)/(-18)? 4/9 ((-1)/2 - 0)*(-28)/21 2/3 Calculate ((-4)/3)/((-2)/6). 4 (-2 - -8)/((308/4)/7) 6/11 Evaluate 2/((-16)/(-12))*-6 + 4. -5 What is (11/26)/(5/(-10)) - -1? 2/13 Evaluate 1/2*26/(-65). -1/5 What is (-14)/12 + (-5)/(-10)? -2/3 2849/8932 + (-1 - (-9)/12) 2/29 What is (-2 - 2/(-2)) + 3 + 0? 2 (-7)/(-112)*-4*3 -3/4 What is the value of 5 - -124*4/(-96)? -1/6 Evaluate (3/(-2))/((-60)/96*-18). -2/15 What is the value of 3 - -1 - (-4)/14*-7? 2 20/2*(-9)/(-15) 6 What is the value of (-3 - 1)/(6 - (8 + -4))? -2 Evaluate (-1)/10*(-15)/9. 1/6 What is (2 + 3)*(3 + -4)? -5 What is the value of 0/2*(1 + -1 + -1)? 0 Calculate (-2)/9*3 + 14/12. 1/2 What is the value of (9 - 3) + (-110)/(-55)? 8 -3*2/(-10)*(-84)/(-63) 4/5 (-183)/122*14/(-3) 7 What is the value of ((-18)/(-24)*-1)/((-6)/(-2))? -1/4 What is ((-18)/11)/((-184)/1012)? 9 Calculate (-672)/(-1155) + (-4)/22. 2/5 What is (204/(-34))/(1 + 0 - 2)? 6 What is ((-25 + 25)*(-1)/2)/(-1)? 0 Evaluate (-31)/93 - 2*2/(-6). 1/3 What is 6*(-2)/(-66) + 46/(-11)? -4 Evaluate (6/4)/(18/(-48)). -4 Evaluate (-2 + 12/10)/(2/20). -8 Calculate -6 + (-11)/(11/(-4)). -2 (-15)/(2 + -1) + -492 + 500 -7 What is (-10)/4*(6 + -4)? -5 What is the value of 8*(3/(-2) - -2)? 4 What is the value of (-11)/(-33) + (-100)/228? -2/19 Evaluate (-60)/(-14) - ((0 - -6) + -2). 2/7 Calculate (-670)/(-201)*(-6)/(-5). 4 (-2)/1 + (15 - 21) -8 ((-12)/(-80))/(2/(-5)) -3/8 What is the value of 1/(-15) + 40/100? 1/3 What is the value of (1 - 0)*(-1 + 2)? 1 Calculate 210/(-112) + (-5)/40. -2 Calculate (-8)/(-16)*(-1 - -1). 0 What is the value of (((-2)/(-2))/1)/(38/152)? 4 What is (68/(-12) - -5)*-3? 2 -1*(3 + (-18)/(-9)) -5 Evaluate (1/(-4))/(135/(-120)). 2/9 (-6*(-2)/18)/5 2/15 Calculate ((-312)/780)/(-1 - 66/(-70)). 7 Calculate (-2 + 2)/((-12 - -21) + -5). 0 What is the value of (18/63)/(4/28) - 1? 1 (162/252)/(3 + 135/(-35)) -3/4 Calculate (-42)/20 - (16 - 18). -1/10 Calculate 58/(-10) + 0 - (-198)/33. 1/5 Calculate 4/(-10) + (-26)/(-40). 1/4 What is the value of (-40)/(-18) - -1*(-8)/36? 2 What is 0*((-54)/45 + (-23)/(-15))? 0 Calculate (-108)/81 + (-1 - 14/(-6)). 0 Evaluate -10*(-488)/720 - 2/(-9). 7 What is the value of 5/(-10) + -9*2/(-48)? -1/8 Calculate ((-5)/25 + (-9)/5)/7. -2/7 What is the value of (-42)/(-12) - (-1)/(-2)? 3 (-91)/21 - 12/(-9) -3 Evaluate ((-18)/147)/((-62)/217). 3/7 What is the value of 39*(-6)/(-336) - 4/7? 1/8 What is (-6)/21 + (-16)/(-7)? 2 4 + ((-2)/7 - (-18)/63) 4 (-2)/(-8) + (-13)/52 0 What is the value of 7777/(-2121) - (1/3 + 0)? -4 Calculate (4/(-3))/(55/(-45)*6). 2/11 Evaluate 15/3*(-2)/5*1. -2 Evaluate 296/(-370) - 2/10. -1 Evaluate ((-882)/(-196))/((-1)/(-2)*1). 9 What is (4 - ((-64)/4)/(-4))/(-1)? 0 What is (-19)/((-228)/60)*(-14)/(-10)? 7 Evaluate (-7)/((-42)/4)*-6. -4 Evaluate 2 + (-86)/40 + (-2)/(-5). 1/4 Evaluate 4/(-4)*4*(-1)/6. 2/3 What is the value of (-34)/68*2*3? -3 Calculate (-30)/(-9)*((-11)/(-4) - 2). 5/2 Evaluate -1*(180/(-189))/10. 2/21 Calculate (-2 + 1)/(-1 + 0/(-2)). 1 Calculate ((-4)/(-3))/(130/195). 2 Calculate 120/(-280)*7/4. -3/4 ((-36)/72)/((-2)/(-12)) -3 Evaluate 1 - (16/(-56))/(3/21). 3 What is (-2)/(-6)*(3/2)/1? 1/2 -6*4/15*5/(-2) 4 What is (-6)/(-2) - (-5 - (-115)/15)? 1/3 What is 1 - 7*(-11)/(-70)? -1/10 11 - 0 - 60/(168/14) 6 What is ((20/(-6))/5)/1? -2/3 ((-30)/24)/((-5)/2) 1/2 What is the value of (9/(-4) - -2) + (-30)/(-280)? -1/7 What is the value of (-4)/(1 - 3) + 816/(-374)? -2/11 Evaluate (-36 - -42)*(-2)/(-3) - -2. 6 Evaluate (-99)/42 - (-27)/18. -6/7 Calculate (24/9 + -2)*6/(-4). -1 What is (-6)/4 - 5/(-6)? -2/3 What is (-2)/(-5) - 87*(-3)/(-315)? -3/7 Calculate (((-2475)/154)/(-25))/(60/(-35)). -3/8 What is the value of (3/7)/(-3 + (-6)/(-3))? -3/7 What is the value of ((-45)/(-10) - 6)*24/9? -4 Evaluate (-5 + (-56)/(-7))*-1. -3 (5/20 + (-42)/40)*5 -4 What is the value of 0 - -1 - 5/20? 3/4 What is the value of 0/(-3) - (-2 + -4)? 6 Calculate (72/(-360))/(1 + 0). -1/5 Calculate 16/(-152) + 776/152. 5 Calculate (4 + 48/(-9))/(-2). 2/3 -2*((-11)/14 + -1 + 2) -3/7 What is (3 + (-3 - 2))*(-3)/(-36)? -1/6 What is (1/(-2)*-24)/(15/(-10))? -8 What is the value of (-264)/(-60) - (-1 - (-7)/5)? 4 Evaluate (441/(-196))/(6/(-8)). 3 What is ((-48)/(-32))/(1/(-2))? -3 Evaluate (39/(-702))/(4/(-54)). 3/4 What is the value of ((-2)/18)/((-4)/(-12))? -1/3 Evaluate ((-48)/(-63))/4*(-60)/40. -2/7 Calculate (-1 - 0)*(-37 - -33). 4 What is 0/(-1)*12/24? 0 Evaluate 12/9*27/(-126). -2/7 Evaluate 14/((7 - 9)*1). -7 Calculate 4488/(-4158) - (-12)/14. -2/9 What is the value of (2 - (3 + 2)) + (-28)/(-10)? -1/5 1/5*8/36*-3 -2/15 What is (10/10 + -2)*-5? 5 Calculate 1/(-1 + -1 + 7/3). 3 Evaluate 10 + (9 - 873/45). -2/5 Calculate ((-3)/(-5))/(12/15) - 0. 3/4 (-24)/(-20)*10*3/(-27) -4/3 (-32)/48 - 2*(-2)/24 -1/2 14/357*(-1 + -2) -2/17 5/100*5 + (-270)/(-40) 7 13 - (3 + 248/24) -1/3 What is the value of ((-4)/12)/(0 - 1/6)? 2 324/(-260) - -1 - (-2)/5 2/13 Calculate 2/((-153)/171 - 4/38). -2 70/(-12) + 98/(-588) -6 What is 3*((-35)/21 - 0)? -5 Evaluate 28*1/6 + -4. 2/3 Evaluate (-15)/3 - (-1 - 0). -4 ((-1)/4)/(6/(-96)) 4 What is the value of (-6)/((-100)/(-4)*(-4)/10)? 3/5 What is (-14)/(-77) - (-448)/77? 6 -1*(-13)/((-91)/14) -2 What is the value of (-84)/(-462) + (-4)/22? 0 What is 3/(48/(-50)) - (-37)/296? -3 Evaluate 18/(-4)*(-4)/(-48). -3/8 (4/10)/((-133)/(-95)) 2/7 Evaluate 135/(-90) - (-15)/18. -2/3 What is the value of (-13068)/(-1080) + -4*3? 1/10 What is the value of (6/4)/(2/(-4))? -3 (-2 - 0) + 44/(-40) + 3 -1/10 ((-2)/1 + 2)*13/(-26) 0 Evaluate (-130)/(-39)*(-18)/10 - -3. -3 Calculate 1/((-9)/60) - (-5)/(-15). -7 What is 504/(-162) + 2 + 1? -1/9 (6/(-4))/(21/56) -4 What is the value of (7/(-3) - -3)*90/20? 3 What is the value of (5/(-15))/((-2)/(-18))? -3 Calculate (-17 - -21)*(-2)/(-2). 4 What is the value of (-12)/5*80/(-32)? 6 Evaluate (-57)/228*2*16. -8 Calculate -2*(119/14 + -7). -3 Calculate (4/35)/(-9 + 611/65). 2/7 What is 0 - (-2)/(-6) - (-168)/(-63)? -3 What is the value of 13/(234/48) - 3? -1/3 Evaluate (-2)/((-6)/(-90)*-5). 6 Evaluate (3 - (-21)/3)/(-1 + -1). -5 What is (-90)/120*8/(-6)? 1 Evaluate ((-1)/(-6))/(133/114). 1/7 What is 2/(7/(4 + 3))? 2 ((-50)/70)/(108/(-14) - -8) -5/2 What is (4/(-8))/((-26)/(-8))? -2/13 Evaluate (-9)/(-189) + (0 + 3)/(-9). -2/7 Evaluate (-4)/(-16)*(-23 - -17). -3/2 (9/6)/(3/(-10)) -5 88/(-252) + (-10)/45 -4/7 What is the value of (-24)/(-9) - 6/9? 2 What is (-2)/3 - (-8)/(-120)*-1? -3/5 10 + (-460)/45 + (-44)/(-117) 2/13 Evaluate (-5)/(-100)*48/(-18). -2/15 What is the value of 3/(-9)*-6 - (-8)/(-3)? -2/3 Calculate (-128)/(-144)*9/12. 2/3 Evaluate (-94)/(-141) - (-20)/(-3). -6 (56/
{ "pile_set_name": "DM Mathematics" }
- 8*m. 8*m Collect the terms in -8*q**3 + 13*q**3 + 14*q**3. 19*q**3 Collect the terms in 35*o**3 - 6 + 158*o**3 + 6. 193*o**3 Collect the terms in 47*a**3 - 30*a**3 - 20*a**3. -3*a**3 Collect the terms in 22*t + 3*t + 11*t. 36*t Collect the terms in 16*z**3 + 13*z**3 - 8*z**3 - 4*z**3. 17*z**3 Collect the terms in 11*o + 15*o + 5 - 5. 26*o Collect the terms in -22*j**2 + 46*j**2 - 20*j**2. 4*j**2 Collect the terms in -4*k**2 + 3*k**2 + 185 - 185. -k**2 Collect the terms in 2*z**3 + 51 - 75 - 7*z**3. -5*z**3 - 24 Collect the terms in -8*g**2 + 0 + 1 - 2 - 5*g**2. -13*g**2 - 1 Collect the terms in -8*l**2 - 2*l**2 - 11*l**2 + 34*l**2 - 14*l**2. -l**2 Collect the terms in -4*m**2 - 23*m + 13*m**2 + 23*m. 9*m**2 Collect the terms in 8*k**2 + 18*k**3 - 7*k**2 - k**2 - 8*k**3. 10*k**3 Collect the terms in -4 + 1 + 4*f + 0. 4*f - 3 Collect the terms in -202*y**3 + 96*y**3 - 2 + 105*y**3 + 2. -y**3 Collect the terms in 5414*h**3 + 5406*h**3 + 5411*h**3 - 16232*h**3. -h**3 Collect the terms in 233*z**2 + 14*z**3 - 233*z**2 + 7*z**3. 21*z**3 Collect the terms in -39*v**2 + 4*v**2 + 36*v**2. v**2 Collect the terms in -111*b - 35*b + 64*b - 90*b. -172*b Collect the terms in 15258*s**2 + 4*s**3 - 15258*s**2. 4*s**3 Collect the terms in -32*o + 2 - 1 - 1. -32*o Collect the terms in 1 - 1 - 3445*j + 3447*j. 2*j Collect the terms in -29*q - 28*q - 26*q + 107*q - 23*q. q Collect the terms in 9*k**3 + 13*k - 4*k + 9*k**3 - 8*k**3. 10*k**3 + 9*k Collect the terms in 115*k**3 - 69*k**3 - 49*k**3. -3*k**3 Collect the terms in 35*o - 84*o + 39*o. -10*o Collect the terms in 8*a - 35*a**2 + 2*a + 33*a**2 + 2*a. -2*a**2 + 12*a Collect the terms in 14*c**3 - 4*c**3 + 0*c**3. 10*c**3 Collect the terms in 3*w - 2*w - 364*w**3 - w. -364*w**3 Collect the terms in 40*m**3 - 10*m**3 - 25*m**3. 5*m**3 Collect the terms in -2 - o + 7*o + 9*o. 15*o - 2 Collect the terms in 34 + 63 - 6 - 2*r. -2*r + 91 Collect the terms in -35*a - 49*a + 88*a. 4*a Collect the terms in 2*j**3 - 4*j - 6*j + 5*j + j. 2*j**3 - 4*j Collect the terms in 3*h + 2843 - h - 2843. 2*h Collect the terms in -2*a + 64799 + 2*a - 2*a**2 - 64799. -2*a**2 Collect the terms in -27*r**3 - 2 - 25*r**3 + 10*r**3. -42*r**3 - 2 Collect the terms in -4 - 17*c**3 + 1 + 3. -17*c**3 Collect the terms in 0*f - 2*f + f - 4. -f - 4 Collect the terms in -2*t - 5*t + 8*t + 5*t. 6*t Collect the terms in 3*d - 26 + 26. 3*d Collect the terms in -400 + 400 + 5*b**2. 5*b**2 Collect the terms in -4*a - 17*a**2 + 34*a**2 - 15*a**2. 2*a**2 - 4*a Collect the terms in -20*m**3 - 1390*m + 2*m**3 + 1390*m. -18*m**3 Collect the terms in 32*c**3 - 2 + 2. 32*c**3 Collect the terms in -50*a**3 + 93*a**3 - 45*a**3. -2*a**3 Collect the terms in -5*a + 3*a + 2*a + 4*a. 4*a Collect the terms in -12 - c**2 - c**2 + 12. -2*c**2 Collect the terms in 656*n**2 - 1970*n**2 - 1314*n**2. -2628*n**2 Collect the terms in 3*c**3 - 101820 - c**3 + 101820. 2*c**3 Collect the terms in 6*t - 16*t + 5*t. -5*t Collect the terms in 35*v + 1 + 6*v + 6*v + 9*v. 56*v + 1 Collect the terms in 223*v**3 + 271*v**2 - 222*v**3 - 271*v**2. v**3 Collect the terms in -14*x + 14*x + 5*x**3. 5*x**3 Collect the terms in -z**2 - 14*z**2 + 14*z**2. -z**2 Collect the terms in -43*d + 12*d + 28*d. -3*d Collect the terms in 4*t - t - 3*t - 67*t**3. -67*t**3 Collect the terms in -202 + 399 - 197 - 2*c**2. -2*c**2 Collect the terms in -135*x**2 - 132*x**2 + 258*x**2. -9*x**2 Collect the terms in 0*w - 2*w + 2*w - 5*w. -5*w Collect the terms in 177*h - 358*h + 186*h. 5*h Collect the terms in -9 + 17*j**3 + 26*j**3 + 9. 43*j**3 Collect the terms in 0*h**3 + 5*h**3 + 8*h**3 - 15*h**3. -2*h**3 Collect the terms in 9 - 6 - 2*z**2 - 3. -2*z**2 Collect the terms in -5*a - 13*a**3 + 5*a. -13*a**3 Collect the terms in 10*f**3 - 4*f**3 - 4*f**3. 2*f**3 Collect the terms in -51*u**2 + 2 + 3 - 5. -51*u**2 Collect the terms in 3*m**3 + 14878*m - 14878*m. 3*m**3 Collect the terms in -117*w + 2 + 229*w - 111*w. w + 2 Collect the terms in 0*d**2 - 16*d**2 + 5*d**2 + 10*d**2. -d**2 Collect the terms in -28*k**3 - 31*k**3 + 57*k**3. -2*k**3 Collect the terms in 0*w + w**2 + 8*w - 62*w**2 + 1. -61*w**2 + 8*w + 1 Collect the terms in 10*w - 31*w + 14*w + 17*w. 10*w Collect the terms in 501*q - 501*q - 4*q**3. -4*q**3 Collect the terms in -5 - 6 + 14*b + 11. 14*b Collect the terms in 7895*b**2 - 7868*b**2 + b - b. 27*b**2 Collect the terms in 16*f**3 - 42*f**3 - 19*f**3. -45*f**3 Collect the terms in -284*f + 142*f + 144*f. 2*f Collect the terms in -201*d**3 + 46*d - 46*d. -201*d**3 Collect the terms in -23*d + 4*d + 23*d. 4*d Collect the terms in 2*s - 3 - 69 + 79 - 7. 2*s Collect the terms in -2*s**3 + 5*s**3 + 14*s**3. 17*s**3 Collect the terms in -x**2 + 381 + 6*x**2 - 381. 5*x**2 Collect the terms in -3 + 277*b**3 + 3. 277*b**3 Collect the terms in -1139*i + 378*i + 378*i + 381*i. -2*i Collect the terms in 26217*h + 26208*h - 52424*h. h Collect the terms in 11*z**3 + 0*z**3 - 3*z**3. 8*z**3 Collect the terms in 4*u - 48 + 22 + 28. 4*u + 2 Collect the terms in 12*u**3 + 8*u**3 + 6*u**3 - 44*u**3 + 13*u**3. -5*u**3 Collect the terms in w**2 - 5*w + 25*w + 0*w**2. w**2 + 20*w Collect the terms in 1577*p**2 + 1570*p**2 - 3148*p**2. -p**2 Collect the terms in -103*l + 99*l + 12*l. 8*l Collect the terms in -17 - 2*f**2 + 0*f**2 - 16*f**2. -18*f**2 - 17 Collect the terms in 37986 + j - 37986. j Collect the terms in 2*s**2 + s**2 + s**2. 4*s**2 Collect the terms in -1860*h + 1860*h + 2*h**2. 2*h**2 Collect the terms in 79 + 65 - 11*a + 23*a - 14*a. -2*a + 144 Collect the terms in -7*g**2 + 9*g**2 + 3*g**2. 5*g**2 Collect the terms in -13*c + 6*c + 8*c + 110. c + 110 Collect the terms in p + 0*p - p + 6*p. 6*p Collect the terms in -132767 + 132767 + 3*a. 3*a Collect the terms in 2*n**3 + 3*n**3 - 25*n**3 + 9*n**3. -11*n**3 Collect the terms in 0*a**2 - 199*a + 199*a + 4*a**2. 4*a**2 Collect the terms in 3*x + 5*x - x. 7*x Collect the terms in -6 - 8*i + 8*i - 2*i**3. -2*i**3 - 6 Collect the terms in 3 + 2 + 32*k**2 - 5. 32*k**2 Collect the terms in -27*r**3 - 21*r**3 + 44*r**3. -4*r**3 Collect the terms in 7*a**3 + 4*a**3 + 4*a**3 + 3*a**3 - 14*a**3. 4*a**3 Collect the terms in -13*g + 12*g - 1 - 17*g. -18*g - 1 Collect the terms in 61*b - 4 + 4 + 2*b**3. 2*b**3 + 61*b Collect the terms in -24*n - 18*n - 18*n + 10*n. -50*n Collect the terms in 6*n - 6 - 8*n - 14. -2*n - 20 Collect the terms in 1023*u - 1023*u + 14*u**3 - 16*u**3. -2*u**3 Collect the terms in -2*a - 4*a + 6*a + 9*a**3. 9*a**3 Collect the terms in j - 14 - 3 + j + 17. 2*j Collect the terms in 4*x + 598 - 598. 4*x Collect the terms in -5*j**3 - 6*j**2 - j**2 + 7*j**2. -5*j**3 Collect the terms in 0 + 16 - 7 - 3*p**2. -3*p**2 + 9 Collect the terms in 10*c**2 - 89*c**2 - 56*c**2. -135*c**2 Collect the terms in -309 + 309 + 31*i - 34*i. -3*i Collect the terms in 25 + 9 - 19 + w**2. w**2 + 15 Collect the terms in -189*s**3 + 97*s**3 - 142*s**3 - 169*s**3. -403*s**3 Collect the terms in 22*u**3 - 9*u**3 + 2 - 2 - 11*u**3. 2*u**3 Collect the terms in -4 - 7*a + 1 - 2 - 1. -7*a - 6 Collect the terms in -27*i**3 + 25*i**3 - 2*i**3. -4*i**3 Collect the terms in 128*l**3 - 211*l**3 + 84*l**3. l**3 Collect the terms in -16*h + 9*h - 16*h. -23*h Collect the terms in -12*z**2 - 5*z**2 + 40*z**2. 23*z**2 Collect the terms in -51 - 41*p + 51 + 13*p. -28*p Collect the terms in 15*r**2 - 3*r**2 - 15*r**2. -3*r**2 Collect the terms in 2 - 2 - 183*s. -183*s Collect the terms in 71*j**2 - 43*j**2 + 74*j**2. 102*j**2 Collect the terms in -5 - 29 - 2*y - 63. -2*y - 97 Collect the terms in -96 - 5*g**3 + 0*g**3 + 88 + 2*g**3. -3*g**3 - 8 Collect the terms in 28*l**2 - 117*l**2 + 86*l**2. -3*l**2 Collect the terms in -4*r - 4*r - 7*r + 4*r. -11*r Collect the terms in 3*g - g - 2*g**2 + 3*g**3 + 2*g**2. 3*g**3 + 2*g Collect the terms in -15*j**2 + 7*j - j - 6*j. -15*j**2 Collect the terms in 2*j**3 - 1 + 0 + 7. 2*j**3 + 6 Collect the terms in -5464 + 5464 + 2*x**3 - 2*x**3 - 2*x**3. -2*x**3 Collect the terms in -102 + 7*o**2 + 102. 7*o**2 Collect the terms in -15*m**2 - 27*m**2 + 7*m - 7*m. -42*m**2 Collect the terms in 19*v**3 + 8*v**3 + 58 - 58. 27*v**3 Collect the terms in 67*h**3 - 51*h**3 - 37*h**3. -21*h**3 Collect the terms in -5*p**2 + 13*p**2 + 21*p**2.
{ "pile_set_name": "DM Mathematics" }
1. What is 3*d(x) + 5*k(x)? 102*x - 2 Suppose -7*n = -42 + 49. Let q(x) = -5*x**3 - 6*x**2 + 6*x + 6. Suppose -20 = 3*t - 2. Let i(g) = g**3 + g**2 - g - 1. Calculate n*q(u) + t*i(u). -u**3 Suppose 0 = l - 5*l + 28. Let q(r) = r**3 - 7*r**2 + 3*r - 19. Let k be q(l). Let x(i) = -4*i**2 - 13. Let d(h) = h**2 + 3. Determine k*x(a) + 9*d(a). a**2 + 1 Let n(z) = z**2 + 2*z - 5. Let c be n(4). Let a = c - 17. Suppose 0 = a*s - 14 - 8. Let u(o) = -5*o + 3. Let y(q) = 14*q - 9. What is s*u(p) + 4*y(p)? p - 3 Let a(t) = -5*t**3 + 12 + 4*t**3 + 11*t + 0*t - 9*t**2 + 13*t**2. Let d be a(6). Let x(o) = 2*o + 4. Let r(v) = 6*v + 12. What is d*r(n) - 17*x(n)? 2*n + 4 Let k(g) = -9*g**2 + 12*g. Let l(d) = -d**2 + d. Let y be (-8 - -7)/((-7 - -3)/(-12)). What is y*k(u) + 36*l(u)? -9*u**2 Let i(s) = -s**3 - 28*s**2 - s - 31. Let a be i(-28). Let t(y) = -10*y**2 - 26*y + 16. Let k(n) = 2*n**2 + 5*n - 3. Calculate a*t(d) - 16*k(d). -2*d**2 - 2*d Let g(z) = 5*z + 154. Let u(o) = 6*o + 156. Determine 4*g(w) - 3*u(w). 2*w + 148 Let g(s) = 11*s**3 + 15. Let a be (2/(-4))/(2/(-28)). Suppose -119 = 3*x + m - 112, 3*x - 2*m = -22. Let h(i) = 6*i**3 + 8. Give a*h(z) + x*g(z). -2*z**3 - 4 Let x(o) = 2*o. Let h(p) = 63*p + 1. Give -h(i) + 4*x(i). -55*i - 1 Let a = -125 - -130. Let c(n) = 3*n + 4. Let f(y) = 4*y + 6. What is a*f(i) - 7*c(i)? -i + 2 Let s(k) = -2*k**3 - 3*k**2 - 3*k + 1. Let i(t) = t**3 + 2*t**2 + 4*t - 1. Calculate 3*i(w) + 2*s(w). -w**3 + 6*w - 1 Let r(x) = 14*x**2 - 2*x - 5. Let v(t) = 15*t**2 - t - 4. Determine 3*r(a) - 4*v(a). -18*a**2 - 2*a + 1 Let p(r) = -510*r**3 - 2*r**2 - 6. Let n(b) = 510*b**3 + 2*b**2 + 5. Give -6*n(v) - 5*p(v). -510*v**3 - 2*v**2 Suppose -20 = -3*j - 11. Let p(g) = g**2 - 137*g**j + 277*g**3 - 138*g**3. Let v(r) = -r**3 - r**2. Calculate -2*p(l) - 2*v(l). -2*l**3 Let l(a) = 73*a**2 + 177*a - 2. Let i(k) = -85*k**2 - 178*k + 2. Give 6*i(n) + 7*l(n). n**2 + 171*n - 2 Let x(z) be the first derivative of -z**2 + 2*z - 62. Let m(v) = 0*v - v + 2 + 0. Suppose 3*c - 14 = 1. Give c*m(k) - 4*x(k). 3*k + 2 Let j(x) = 2*x**2 + 3*x - 1. Let i(m) = -7*m**2 + 2*m + 2. Let f(u) = -11*u**2 + 4*u + 3. Let y(s) = 3*f(s) - 5*i(s). Calculate 3*j(g) - 4*y(g). -2*g**2 + g + 1 Let p be (1/(-3))/(2/30). Suppose 10 = 3*z + 4*u, 8*u + 2 = 2*z + 13*u. Let n(j) = j + 5. Let h(b) = -1 + 2*b - b + 5 + 0*b. What is p*n(t) + z*h(t)? t - 1 Let t(s) = -s**3 - s**2 + s. Let j(y) = -7*y**3 - 10*y**2 + 7*y. Give j(x) - 6*t(x). -x**3 - 4*x**2 + x Let f(c) = 2*c**2 - 1. Let g(z) = -6*z**3 + 8*z**2 - 53. Determine -4*f(s) + g(s). -6*s**3 - 49 Let x(d) = 6*d + 22. Let z(g) = 1. Give -x(k) + 4*z(k). -6*k - 18 Let o(f) = f**2 - 5*f - 5. Let c(w) = -2*w**2 + 9*w + 9. Suppose 0 = a + 3*y + 12, -2*a + 5*a - y - 14 = 0. Suppose -8*k - 35 = -a*k. Give k*o(v) - 4*c(v). v**2 - v - 1 Let j(g) = 26*g - 10. Let q(h) = 8*h - 3. Determine -2*j(v) + 7*q(v). 4*v - 1 Let i(s) = -4*s - 2. Suppose -215 = 3*r + 2*r + 3*f, -4*f + 86 = -2*r. Let k = r - -45. Let z(m) = 16*m + 9. Calculate k*z(h) + 9*i(h). -4*h Let d(m) = m. Let b(i) = -5. Suppose -16*y = -9*y + 7. What is y*b(s) - 2*d(s)? -2*s + 5 Let i(v) = -2*v. Let c(k) = -k + 70. Give 2*c(b) - 2*i(b). 2*b + 140 Let y(r) = -4*r**2 + 7. Let w(g) = -11*g**2 - 8*g + 6. Let j(d) = 4*d**2 + 3*d - 2. Let k(v) = 8*j(v) + 3*w(v). Let o = 9 - 15. Calculate o*y(u) + 21*k(u). 3*u**2 Let t be (1 + -3)*1/(-2). Let c(x) = x**3 - x - 1. Let w(d) = -3*d**3 - 2*d**2 + 6*d + 5. Let f be 1/3 - (9 + 451/(-33)). What is f*c(l) + t*w(l)? 2*l**3 - 2*l**2 + l Let r be (23/46)/((-3)/(-24)). Let f(p) = 3*p**2 - 4*p - 2. Let l(m) = -2*m**2 + 5*m + 3. Give r*f(g) + 3*l(g). 6*g**2 - g + 1 Let s(x) = 6*x**3 - 8*x**2 + 8*x. Let h = -233 - -232. Let j(o) = o**3 - o**2 + o. What is h*s(z) + 8*j(z)? 2*z**3 Let b(z) = -z + 1. Let f be b(-5). Let l(w) = 14 - 4*w - 9 - 9. Let q(h) = 3*h + 3. Suppose 2*v + v = -4*i + 5, 5 = 5*i + 4*v. Determine f*q(c) + i*l(c). -2*c - 2 Let f(i) = 195*i**2 - 10*i + 21. Let g(x) = -39*x**2 + 2*x - 4. Give -2*f(s) - 11*g(s). 39*s**2 - 2*s + 2 Let j(i) = 345*i**2 - 2*i. Let t(h) = 1031*h**2 - 7*h - 1. Determine -7*j(w) + 2*t(w). -353*w**2 - 2 Let o(a) = 175*a - 3. Let s(f) = -65274*f + 1118. Give -2236*o(j) - 6*s(j). 344*j Let q(r) = r + 2. Let j be (4/(-10))/((-8)/400*-5). Let i(h) = 2*h + 2. Calculate j*i(b) + 5*q(b). -3*b + 2 Let d(c) = 3*c + 8. Let f(h) = -2*h + 1. Give d(s) - 5*f(s). 13*s + 3 Let v(l) be the first derivative of -8*l**3/3 + l**2 + 9*l - 32. Let y be (-1 + -1)*(-14)/(-4). Let z(j) = 7*j**2 - 2*j - 8. Give y*z(r) - 6*v(r). -r**2 + 2*r + 2 Let q = -3355 + 3352. Let l(o) = -o**2 - o + 1. Let k(m) = -m + 1. Let w(u) = -9*u + 9. Let i(h) = -24*k(h) + 3*w(h). Determine q*l(j) + i(j). 3*j**2 Let h(p) = -4370*p - 138. Let g(r) = -257*r - 8. Give 69*g(y) - 4*h(y). -253*y Let p(o) = 367*o**3 + 365*o**3 + 359*o**3 - 1090*o**3 - o + o**2. Let i(w) = 4*w**3 + w**2 - w. Let z be (0 - (4 - 3))*1. Determine z*i(h) + p(h). -3*h**3 Let r(l) = -20*l**2 + 2*l - 61. Let x(h) = -11*h**2 + h - 31. Determine -6*r(m) + 11*x(m). -m**2 - m + 25 Let x(y) = y - 4. Let o be x(16). Let d = 16 - o. Let n = 6 - 9. Let q(s) = 2*s**3 - 4*s**2 + 2*s - 5. Let l(h) = h**3 - 3*h**2 + 2*h - 4. Give d*l(f) + n*q(f). -2*f**3 + 2*f - 1 Let r(t) = t - 3. Let o(d) = -15*d - 286. Let f be o(-19). Let h(x) = -x - 1. What is f*r(b) + 4*h(b)? -5*b - 1 Let f(s) = -127*s + 6. Let n(z) = -254*z + 10. Calculate -5*f(h) + 3*n(h). -127*h Let j(x) = 7*x + 3. Let w(r) be the first derivative of -3*r**2/2 - r - 92. Calculate 6*j(v) + 15*w(v). -3*v + 3 Let b(x) = 7*x**3 - 5*x**2. Let v(o) = 4*o**2 - 3*o + 6. Let q(f) = -f**2 + f - 2. Let d(g) = 3*q(g) + v(g). Determine b(w) + 5*d(w). 7*w**3 Let a(n) = -1. Let v(g) = g - 2. Give 11*a(b) - 4*v(b). -4*b - 3 Let z(m) be the first derivative of m**2/2 - 3*m - 5. Suppose v - 18 = -5*w, 3*w - 14 - 15 = 2*v. Let h = -11 - -8. Let f(r) = -2*r + 6. Give h*f(y) + v*z(y). -y + 3 Let w(t) = t**2 + 1. Let i(n) = 6*n**2 - 5*n + 4. Let z(a) = 48*a + 145. Let q be z(-3). What is q*i(g) - 4*w(g)? 2*g**2 - 5*g Let h(t) = 0*t + t + 2*t - 6. Let w(c) be the second derivative of 4*c**3/3 - 17*c**2/2 + 79*c. Give 11*h(p) - 4*w(p). p + 2 Let n(y) = -2 - 1 - y - 2. Let w(c) = -3. Let l be 0 - (-4 + 1 - (9 + -17)). Give l*w(p) + 3*n(p). -3*p Let s(h) = -15*h**2 - 707*h. Let j(q) = 4*q**2 + 236*q. What is 7*j(d) + 2*s(d)? -2*d**2 + 238*d Let w(s) = -9*s + 2. Let u(q) = -7*q + 2. Give -5*u(o) + 4*w(o). -o - 2 Let v(y) = -y**2 + y - 1. Let j(w) = -2*w**3 + 26*w**2 - 6*w + 82. Let s be j(13). Let q(k) = 3*k**2 - 4*k + 2. Determine s*v(n) + q(n). -n**2 - 2 Let z(l) = l**2 - 9*l - 1. Let k(r) = 3*r**2 - 26*r - 3. Determine 3*k(t) - 8*z(t). t**2 - 6*t - 1 Let x(q) = 2*q - 2 + 7*q**2 + 3*q**2 - 9*q**2 + 1 - 3*q. Let y(a) = 2*a**2 - 5*a - 1. Give 3*x(v) - y(v). v**2 + 2*v - 2 Let a(p) = -35*p**2 + 17*p - 3. Let g(x) = 18*x**2 - 9*x + 1. Let m(d) = 4*a(d) + 7*g(d). Let s(v) = -15*v**2 + 6*v - 6. Give -6*m(b) + 5*s(b). 9*b**2 Let t(x) = -25*x + 5. Let p(o) = 11*o - 3. What is -5*p(a) - 2*t(a)? -5*a + 5 Let m(d) = -2*d**3 - 11*d**2 + 5*d. Let f(n) = -n**3 - n**2 + n. Give 5*f(k) - m(k). -3*k**3 + 6*k**2 Let f(r) = r**3 + r**2 + 3*r + 3. Let l(a) = -4*a**3 - 2*a**2 - 8*a - 8. Determine -8*f(y) - 3*l(y). 4*y**3 - 2*y**2 Let y(t) = -8*t**2 - t + 3 - 2*t**2 - 4. Let l(z) = -3*z**2. Let m = -5 + -4. Let n be 11 + m - (0 + 0). Calculate n*y(x) - 7*l(x). x**2 - 2*x - 2 Let n(g) = g**2 + g + 5. Let c(i) = -2*i - 6. Calculate 3*c(w) + 4*n(w). 4*w**2 - 2*w + 2 Let m(z) = 5*z**3 + 6*z**2 - 6. Let d(r) = -9*r**2 + 4*r + 5. Let n(p) = -p**3 - 17*p**2 + 7*p + 10. Let i(q) = -7*d(q) + 4*n(q). Give -7*i(j) - 6*m(j). -2*j**3 - j**2 + 1 Let b(f) = 8*f**2 + 20*f - 10. Let j(z) = 19*z**2 + 40*z - 20. Determine -5*b(k) + 2*j(k). -2*k**2 - 20*k + 10 Suppose 0 = a - 0 + 2. Suppose 6*l = -0*l + 132. Let i = l + -26. Let t(w) = -w**2 + 1. Let v(n) = 3*n**2 - 2. Calculate a*v(u) + i*t(u). -2*u**2 Let b(d) = -d**3 - 53*d**2 - 151*d - 48. Let z be b(-50). Let p(o) = -3*o + 2. Let a(v) = -8*v + 6. Calculate z*a(y) - 7*p(y). 5*y - 2 Let t(m) = 5*m**2 - 4*m + 2. Let v(g) = -9*g**2 + 7*g - 3. Let x(z) = z**2 + 17*z + 55. Let n be x(-12). Give n*t(l) - 3*v(l). 2*l**2 - l - 1 Let w(i) = -20*i +
{ "pile_set_name": "DM Mathematics" }
0*x = -5*x + 20. Suppose -x*f - f = -15. What is the second derivative of -4*r**2 - 9*r - 2*r**f + 4*r**2 - 3*r**3 wrt r? -30*r Let f(o) = 3*o**2 + 3*o - 1. Let t be f(3). Let q = -25 + t. What is the third derivative of 2*i**2 - 11*i**2 + q*i**4 - 18*i**4 wrt i? -192*i Let a(s) be the first derivative of 19*s**6/6 + 53*s**2/2 - 5*s - 90. Find the second derivative of a(j) wrt j. 380*j**3 Let u(x) = x - 7. Let n be u(9). Let t(s) = -39*s - 23. Let j be t(-1). Differentiate j - 25 + 15 + n*m**4 with respect to m. 8*m**3 Let w(t) = -t - 1. Let u be w(-2). Let n(x) = 3*x**2 - 1. Let r be n(u). Find the third derivative of -2*d**5 + 11*d**5 + 4*d**r - 5*d**5 wrt d. 240*d**2 Let i(r) be the third derivative of -11*r**7/210 - r**5/15 + 7*r**4/8 + 109*r**2. What is the second derivative of i(h) wrt h? -132*h**2 - 8 Let t(o) = 6*o**2 - 2*o. Let y be t(1). Suppose -3*j = -y*v - 7, -15 = 5*v + j - 6*j. What is the derivative of 5*b**2 - 6*b**v - 13 - 4*b**2 wrt b? -10*b What is the derivative of p**2 + 2 - 17 - 62 + 53*p - 5 wrt p? 2*p + 53 Let r(w) = -w**2 + 9*w + 11. Let g be r(9). Find the third derivative of 4*s**3 - 6*s**2 - g*s**2 + 8*s**2 wrt s. 24 Suppose 6*l = 7 + 17. Let g be -6*l*15/(-10). Find the third derivative of 2*d**6 - 2*d**2 - g*d**5 + 36*d**5 wrt d. 240*d**3 Let h = 1 - -2. Suppose 5*x = -4*v + 26, 4*v - 28 + 6 = -h*x. Find the second derivative of -258 - x*m + 258 + 6*m**2 wrt m. 12 Let h(q) = q**2 - 4*q + 41. Let o(n) = n**2 + 2. Let w(z) = h(z) - 4*o(z). Find the first derivative of w(p) wrt p. -6*p - 4 Suppose -12*v = -13*v + 4. Differentiate -2*n**2 - 4*n + v*n + 8 + 0*n wrt n. -4*n Suppose 11*u - 12 = 8*u. Suppose -u = t - 8. What is the third derivative of -3*d**3 + t*d**2 - 2*d**2 + 3*d**2 wrt d? -18 What is the first derivative of 17394*g**2 - 17394*g**2 - 38*g**3 + 126 wrt g? -114*g**2 Find the second derivative of 477*j**3 + 110*j - 286*j**3 + 39*j wrt j. 1146*j What is the third derivative of 13*a**2 - 392*a**4 - 10*a**2 - 5 - 8 wrt a? -9408*a Let t(f) = f**3 - 3*f**2 + f + 2. Let z be t(3). What is the third derivative of 2*s**5 - 6*s**z + 8*s**5 - 7*s**2 wrt s? 240*s**2 What is the third derivative of -29*f**2 + 72*f**3 + 28*f**2 - 1 + 45*f**2 wrt f? 432 Let v(d) = -20*d**2 - d + 83. Let i(b) = b**3 + 60*b**2 + 3*b - 249. Let h(f) = -2*i(f) - 7*v(f). Find the second derivative of h(p) wrt p. -12*p + 40 Let g(x) = -20*x**2 - 9*x + 68. Let y(d) = -5*d**2 - 2*d + 17. Let f be (16/20)/(14/(-35)). Let i(a) = f*g(a) + 9*y(a). What is the derivative of i(z) wrt z? -10*z Find the second derivative of -66*u + 44*u**3 + 9*u**3 + 9*u**3 wrt u. 372*u What is the third derivative of -2715*a**2 - 32*a**6 + 0*a**3 + 1262*a**2 + 1279*a**2 + 0*a**3 wrt a? -3840*a**3 Let z(t) = 9*t**3 - 7*t - 18. Let h(f) = 12 + 14*f**3 - 3 + 4*f - 19*f**3. Let d(l) = -7*h(l) - 4*z(l). Find the first derivative of d(k) wrt k. -3*k**2 Let s = 357 - 352. Let q(u) be the third derivative of -1/2*u**3 + 0*u**s - 1/30*u**6 + 0 + 0*u**4 - 4*u**2 + 0*u. Differentiate q(m) wrt m. -12*m**2 What is the second derivative of -131*m**4 - 34*m**4 - 74*m**4 - 30 + m - 50 + 4*m wrt m? -2868*m**2 Let h(w) be the first derivative of 19 + 10/3*w**3 + 0*w + 0*w**4 + 7/5*w**5 + 0*w**2. What is the third derivative of h(r) wrt r? 168*r Let t(j) be the first derivative of -38*j**6/3 - 25*j**2/2 - 40. Find the second derivative of t(v) wrt v. -1520*v**3 Let q(c) = -c**2 + c + 1. Let o(y) = -3*y + 17*y**2 + 17*y + 5 + 17*y - 3*y. Let b(k) = -o(k) + 5*q(k). What is the second derivative of b(t) wrt t? -44 Let l(c) = 51*c**2 - 125*c - 1. Let v(k) = k**2 + 2. Let t(z) = l(z) + v(z). Find the second derivative of t(a) wrt a. 104 Let t = -53 + 55. Find the third derivative of -12*y**t + 54*y**4 - 13*y**2 + 31*y**2 + 7*y wrt y. 1296*y Let j(r) be the first derivative of 0*r + 17/2*r**2 + 0*r**4 + 13 - 11/5*r**5 + 0*r**3. Find the second derivative of j(g) wrt g. -132*g**2 Let h(q) be the first derivative of 5/4*q**4 + 0*q**3 - 5 + 0*q**2 + 5*q. What is the first derivative of h(t) wrt t? 15*t**2 Let t(q) be the third derivative of 0*q**3 + 0 + 0*q**5 + 0*q**7 + 0*q - 11*q**2 - 1/168*q**8 + 13/24*q**4 + 0*q**6. Find the second derivative of t(d) wrt d. -40*d**3 Suppose 2*g + 3*j = g - 12, 4*g - 5*j = 20. Suppose g = 2*f + f - 6. Find the first derivative of -2*d + 1 - d - f*d wrt d. -5 Let o = -7 + 7. Suppose a + 0 - 3 = o. What is the second derivative of 4*x**5 + 2*x - a*x**5 - 5*x wrt x? 20*x**3 Let z(s) = -3*s**3 + s**2 + s - 1. Let x(i) = 145*i**3 + 5*i**2 + 4*i + 26. Let h(n) = x(n) - 4*z(n). Find the third derivative of h(y) wrt y. 942 Suppose -o + 6 = -7. Find the second derivative of 9*t - o*t**2 - 13*t**2 - 13*t**4 + 26*t**2 wrt t. -156*t**2 Let x(d) be the second derivative of 0*d**4 + 0*d**6 - 25*d + 0*d**5 - 4/3*d**3 + 0 - 15/14*d**7 + 0*d**2. Find the second derivative of x(b) wrt b. -900*b**3 Suppose 0 = x - 20 - 1. Let f = x - 15. What is the derivative of b + 10*b - f*b - 2 wrt b? 5 Let p be (0 - 5)*(13 - 14). Let x(m) = m**2 - 5*m + 2. Let q be x(5). What is the third derivative of 5*v**2 - 3*v**q + 2*v**2 - 9*v**p wrt v? -540*v**2 Find the second derivative of 1496 + 48*y + 2*y**5 + 274*y - 1496 - 78*y**3 wrt y. 40*y**3 - 468*y Let i be (-4)/14 - (-46)/14. Suppose 0*h + i = h. Find the second derivative of q**3 - 4*q**3 + 0*q**h - 2*q**3 - q wrt q. -30*q Let n be (-4 + 37/(-2))*(-8)/12. Find the third derivative of -11*x**3 + 14*x**6 + n*x**3 - 4*x**3 + 9*x**2 wrt x. 1680*x**3 Let l(q) be the third derivative of 2/21*q**7 - 2/3*q**3 - 48*q**2 + 1/6*q**4 + 0*q**5 - 1/60*q**6 + 0 + 0*q. What is the second derivative of l(k) wrt k? 240*k**2 - 12*k Find the second derivative of 3*b + 13706*b**3 + 106*b**4 - 13706*b**3 wrt b. 1272*b**2 Let g(t) = 2*t - 4. Let l be g(0). Let r(o) = o**2 + 2*o - 4. Let h be r(l). What is the second derivative of 0*j + 6*j**4 - h*j + 10*j wrt j? 72*j**2 Suppose 0 = -29*z + 21*z. Let a(p) be the second derivative of z*p**3 + 3*p - 1/2*p**4 + 1/2*p**2 + 0. Find the first derivative of a(l) wrt l. -12*l What is the second derivative of -52 + 2*z**2 + 153 - 46 - 55 - 191*z wrt z? 4 Let v = 22 + -16. Find the second derivative of -v*p**5 - 80*p + 92*p - 2*p**5 wrt p. -160*p**3 Let u(i) = -i + 5. Let b be u(5). Let y = 6 + 0. What is the second derivative of -3*h**2 + b*h**4 + y*h**4 + 3*h**2 - h wrt h? 72*h**2 Let l(q) be the second derivative of 23*q**4/12 - 3*q**3/2 + 2*q**2 + 21*q + 1. Find the second derivative of l(t) wrt t. 46 Find the second derivative of -60 + 59 - 103*y - 6*y**4 + 27*y wrt y. -72*y**2 Let u(k) be the third derivative of k**7/15 - k**5/5 - 129*k**3 - 5*k**2 - 56. What is the derivative of u(r) wrt r? 56*r**3 - 24*r Suppose -2*x + l = -6*x + 5, 0 = x - l + 5. Let u = 3 + x. What is the derivative of y + y + u*y - 1 wrt y? 5 Suppose -19*c = -33*c. Let u(x) be the first derivative of 2/3*x**6 + c*x**2 - 3 + 0*x + 7/3*x**3 + 0*x**4 + 0*x**5. Find the third derivative of u(z) wrt z. 240*z**2 Let d(m) = 90*m**3 + 6*m**2 - 8*m + 85. Let p(n) = n**3 + n**2 - n - 1. Let z(a) = -d(a) + 6*p(a). Differentiate z(l) wrt l. -252*l**2 + 2 Let s(a) be the third derivative of 3*a**7/70 - a**6/60 + 5*a**4/24 - 3*a**3/2 - 68*a**2. Find the second derivative of s(q) wrt q. 108*q**2 - 12*q Let j(m) = 74*m**2 - 7*m - 89. Let f(q) = -25*q**2 + 2*q + 30. Let c(w) = -7*f(w) - 2*j(w). What is the first derivative of c(z) wrt z? 54*z Let j(n) be the second derivative of 631*n**5/20 - 31*n**2/2 + 754*n. Find the first derivative of j(x) wrt x. 1893*x**2 Let b(y) be the first derivative of 283*y**5/5 + 497*y**3/3 + 529. Find the third derivative of b(k) wrt k. 6792*k Let s(n) be the third derivative of -53*n**6/120 + 7*n**5/20 + 7*n**2 + 8*n. What is the third derivative of s(x) wrt x? -318 Suppose -u - 5 = 0, 3*j + 6*u = 2*u - 14. Let w(p) be the third derivative of 0 - 13/6*p**3 + 0*p - j*p**2 - 5/24*p**4. Find the first derivative of w(s) wrt s. -5 Let h(p) = 20*p**4 - 4*p**3 - p**2 - p - 27. Let n(k) = k**3 + k**2 - k. Let m(a) = h(a) - n(a). Find the third derivative of m(c) wrt c. 480*c - 30 Let o(y) = -22*y**2 - 10*y + 5. Let r(w) = -w - 1. Suppose 63 = -3*a + 78. Let v(j) = a*r(j) + o(j). Find the second derivative of v(l) wrt l. -44 Wha
{ "pile_set_name": "DM Mathematics" }
f for l. -2 Suppose -z - 2*z = f - 15, 0 = -4*z + 5*f + 1. Suppose 2*q + 2 = z. Let p = q - -5. Solve -3*y - g + 4 = 0, -2*y + y - 5*g + p = 0 for y. 1 Suppose -50 = -6*g - 4*g. Let h be 1/(1/8) - (7 - g). Solve 2*d + 0*c = -c - h, 3*d = 5*c - 9 for d. -3 Let b = -50 - -59. Solve -3*j + 4*u - 2 = -0*j, 3*j + b = -3*u for j. -2 Let x be 6 + 0 - (14 - 10). Solve 3*y - 2 = -x*t, 1 + 23 = -2*y + 5*t for y. -2 Let y = -7 - -11. Suppose 0 = 7*d - d - 120. Suppose 9*a = y*a + d. Solve 2*v + a = -4*k + 2*k, k + 8 = v for k. -5 Suppose -3*x = -4*x. Let k be ((-10)/(-4))/(440/704). Solve -3*c + x*z + 3 = -3*z, 3*c + k*z + 11 = 0 for c. -1 Let p(d) = 2*d**3 - 31*d**2 - 18*d + 34. Let l be p(16). Suppose 3*i + 7 = -2*t, 0 = -t - 2*i - 7 + 2. Solve t = -2*r + r + u, l*r - 5*u = 4 for r. -3 Suppose -3*s + 27 = 3*h, -h + 33 = 4*h + s. Let i = -54 - -36. Let y = i - -23. Solve y*d = 4*u + 15, -2*d + h*d - 1 = u for d. -1 Let o(s) be the third derivative of s**4/24 + 7*s**3/3 + 7*s**2. Let k be o(-10). Let c = k - -12. Solve 3*q = p + c, 4*q - q = -2*p + 4 for q. 4 Let a(d) = -d**2 - 15 + 12*d - d**3 + 18*d**2 + 7*d. Let n be a(18). Solve -4*l - 4*s + 2*s = 12, -n*s = 0 for l. -3 Suppose 6 = 5*j + 1. Let k be (0 - 1)/(9/(-45)). Solve t - 5*o = -j, k*o + 1 = 2*t + 3 for t. -1 Let m(x) = -x**3 + 12*x**2 + 2*x - 17. Let q be m(12). Suppose 21 = -q*n - 49. Let f be (n/6*-3)/1. Solve 0 = -f*k + 3*g - 1, -3 = 3*k - 3*g - 6 for k. -2 Let v be 4/6 - 1/(-3). Let r(q) = 3*q + 1. Let a be r(v). Let z be (-8)/12 + (-34)/(-6). Solve 10 = 2*i, -a*i = -z*l - 5*i - 15 for l. -4 Suppose 0*v = 3*v - 12. Let q = -131 + 119. Let g be q/30*-20 + -3. Solve b - v*o = -3*b - 8, b + 10 = g*o for b. 0 Suppose -137 = -5*y - 112. Let k(w) = 2*w. Let p be k(1). Solve -p*b - b + 5*q - 29 = 0, -y*b = -4*q + 31 for b. -3 Let o(d) = -5*d + 22. Let w be o(4). Solve -t + 14 = -3*m, 4*m + 10 = -w for t. 5 Let q(l) = -l**3 - 13*l**2 + 14*l - 4. Let a be q(-14). Let y be ((-20)/(-15))/(a/(-18)). Let u = y + -4. Solve -t + 2 - 14 = u*o, -4*o + 5*t - 10 = 0 for o. -5 Let g(b) = -b - 1. Let u(n) = 2*n + 23. Let z(h) = -4*g(h) - u(h). Let t be z(13). Solve -i = -6*i - q - t, -5*q + 25 = -5*i for i. -2 Suppose 0*j + 4*j = o - 24, 0 = 5*j + 5*o + 30. Let a be j/(-9)*-3 + 4. Solve -2*b + a + 2 = -l, 2*b = 6 for l. 2 Let j = 454 + -454. Solve 5*r = t, 4*r + j*r = 4 for t. 5 Let r(b) = 2*b**2 - 12*b - 24. Let a be r(8). Suppose a*v - 3*v - 2*n = 21, -v - 3*n + 11 = 0. Solve -4*y + 12 = -3*s + 2*s, 40 = v*y + 5*s for y. 4 Suppose 4 = 2*k + 2*k - 4*q, 0 = -q + 4. Suppose s - k = x - s, -s + 1 = -x. Solve 8 = -4*a + x*f, 0 = -a + 4*f - 0 - 2 for a. -2 Let m be (0 - 44/(-3))/((-1024)/(-768)). Solve -f - m = -3*p - 3, -p + f = -6 for p. 1 Suppose -4*y + 4*r = 0, 3*y - 5*r + 0 = -4. Let n be 10*1/2 - y. Solve 2*x + n*x = 3*m + 5, 0 = -5*m - 4*x - 33 for m. -5 Let s be (10/(-6))/(1/(-3)). Solve -2*k = -s*d - 17, -k = -d + 4 - 5 for d. -5 Let a(d) = -d**3 - 21*d**2 - 42*d - 73. Let i be a(-19). Solve -2*o = -f + 5, f = -2*f + i for o. -2 Let b be (3/(-9)*-3)/(4/108). Let q = b + -27. Solve q = 4*y + 3*i - 2*i - 8, -y = -i - 7 for y. 3 Suppose 36 + 36 = 12*k. Solve -4*t + g - k*g = -13, -t = -2*g for t. 2 Suppose 0 = 2*y - 4*m - 84, 5*m - m = -4*y + 168. Suppose 50 - y = 4*p. Solve -4*b + p*f + 2 = 0, -4*b - 5*f + 14 = -3*f for b. 2 Let d be (-6)/11*(-2684)/366. Suppose -5*l + 40 = -4*o, 0 = -4*l - 2*o - 1 + 7. Solve -4*s = 12, -4*j + l = -d*s - 0 for j. -2 Let v be (-3)/(-9)*0*-1. Suppose -q + 5 = 3*p, 4*p + 20 = 4*q - v*q. Let h be (-8)/((-3)/3) + -4. Solve -r = 3*r + z - 20, p = h*z for r. 5 Suppose 2*w = 3*w + 2*w. Solve -i - 1 = w, 2*x + 2*x + 5*i = -17 for x. -3 Suppose 0*v - 10 = 2*v. Let p be ((-6)/v)/(4/10). Let d be (-3)/p - (-6 + 1). Solve -4*l - 17 = -g, 5*g = d*l + 25 + 12 for g. 5 Let c be (-2)/10*-104 - (-8)/(-10). Solve 5*j + 2*q - q = 16, 3*j - 2*q = c for j. 4 Suppose 0 = -3*q + 55 - 49. Suppose 4*h - 3*l - 21 = 0, q*h + l + 2 - 25 = 0. Solve 2*y - h = -o - 0*o, 3*o + 4*y = 19 for o. 1 Suppose 0 = -7*y + 8 - 36. Let u(w) = w**3 + 5*w**2 + 4*w + 4. Let n be u(y). Solve n*s - 4*j = 0, j = -3*s + 2*s + 10 for s. 5 Let y be -39*(4 + -10)/18. Solve 5*t - t + y = -a, -5*t = 5*a + 35 for a. -5 Let w = 20 + -14. Let g(v) = -v**2 + 8*v - 4. Let q be g(w). Suppose -q = -4*j, 2*j + 1 = 4*o - 3*o. Solve -2*k + 2 = -o*l + 8, l + 2*k = -6 for l. 0 Let c = -532 + 534. Solve -q - 5*u = 2*q - 5, -c*u + 28 = -4*q for q. -5 Let c(f) = f - 6. Let s be c(8). Let h be (-285)/(-12) + s/8. Suppose -5*b + 1 = -h, 4*b = u + 20. Solve 5*g - 6 = -3*t + 8, -3*g - 4*t + 15 = u for g. 1 Suppose 2*z + 5 = 11. Suppose a = -z*a. Solve 2*m = -j - 3, a*m + 2 = -m for j. 1 Let f be ((-17)/((-289)/(-51)))/(2/(-8)). Solve f = -3*c, 4 = -2*l - c - 6 for l. -3 Let z(p) = -29*p + 264. Let m be z(9). Solve 5*q = -4*w - 0*w + 4, 5*q = m*w - 3 for w. 1 Let w(a) = -17*a - 44. Let x be w(-3). Let t = -3 - -5. Suppose -1 = f - t, -f = 2*i - x. Solve 4*c + 5*m = 10, 5*c - i*m = -4 - 2 for c. 0 Suppose -s + 0 = -2. Suppose s*j = 2 + 4. Let o(u) = u**3 - 5*u**2 - 7*u + 8. Let i be o(6). Solve -12 = -3*v, -v - i = -j*q - 0*v for q. 2 Let b(o) = o + 8. Let c be b(-4). Suppose 0 = -2*d + 4, 0*j - j = -5*d. Let g be j/(2/20*5). Solve -q + 5 = -4*n, -c*q - n - g = 3*n for q. -3 Let i be 20/(0 - -5) + -12 + 8. Solve 4*p = o - 3*o + 10, 4*o + 4 = i for p. 3 Suppose 0 = 4*t - 2*t - 8. Suppose -t*u + 14 = 3*u. Solve 11 = -2*r - 3*f, -u*f - 2*f = -5*r + 7 for r. -1 Let k be 2 + 12/(-9) + 1617/99. Solve 5*y - k = 4*s - 50, 0 = 5*y + 25 for s. 2 Let a = -39 + 44. Suppose -a*q = -1 - 19. Solve -17 = 5*h - 2*i, -2*h + q + 6 = -5*i for h. -5 Let m be 3/7 + 1 + (-148)/(-14). Solve r = -2*p - 3*r + m, -2*r = -2 for p. 4 Suppose -n + 2 + 7 = 0. Suppose 0 = 5*j - n*j + 8. Solve -3*c + j*s + 24 = 7, 4*c - s - 21 = 0 for c. 5 Let f(r) = -r + 9. Let x be -92*1*1/(-4). Let y = x + -14. Let z be f(y). Solve -2*k - 2*k - p = z, k = 2*p + 9 for k. 1 Let t be 2/(4 + -2)*4. Suppose -136 = t*u - 0*u. Let v = u - -34. Solve v*s = s - y - 2, 3*s = y + 12 for s. 5 Suppose -2*y - 2*j + 8 = 0, 30 = 3*y - 3*j - 0*j. Suppose 22 = 5*i + y. Solve -w + 5*w = i*h + 8, -w + 5*h = -2 for w. 2 Suppose 0 = -3*l - l + 7*u - 28, 16 = -4*l + 4*u. Solve 2*q = -6, -2*j + q + l*q + 3 = 0 for j. 0 Suppose 2 + 2 = -4*u. Let t be (10/u)/(3 + -5). Solve -2*g + 6*g = -t*f + 15, 3*f - 4*g = 9 for f. 3 Let j be (-8)/(-10) - 24/30. Let x be 1 - (3 - 2)*1. Suppose -2*l + j*l = x. Solve 5*v - 10 = 5*f - l, v = 2 for f. 0 Let o(f) = f**3 - f + 9. Let u be o(0). Solve -2*q - 7 = 4*h - u*h, -q + 3 = 4*h for h. 1 Let y(g) be the first derivative of -g**3/3 - g**2 - 4*g + 2. Let t be y(-4). Let h be (-80)/t*(-6)/(-4). Solve 5*o - 2*q - h = 0, -5*q = -5*o + 3 + 7 for o. 2 Let a(x) = 8*x - 11. Let o be a(2). Suppose 3*m + m = 4*t - 32, 3*m = -o*t. Solve 4*r - 3*v - 12 = v, -5*v - t = r for r. 2 Let y be 100/8 - 1/2. Suppose 0 = 5*q + 2 - y. Suppose 2*x - q = -m, 0*m + 3*m = 4*x + 16. Solve 0*b + b + 5*a = 24, 0 = b - 2*a + m for b. 4 Let i be (-20)/(-150) - 596/(-30). Let l be (15 - i)/((-2)/8). Solve 4*v = l, 0 = -0*p + 4*p + 2*v - 10 for p. 0 Let l(c) = 2*c - 21. Let q be l(10). Let n(m) = 15*m**2 + 3*m. Let b be n(q). Solve -3*j = 4*p + 14, -5*j - p = -0*p + b for j. -2 Let p(f) = -5*f + 24. Let v be p(4). Let n be (-6)/(-24) + 19/v. Solve -4*z + 0*z + b - 17 = 0, n = 2*z - 5*b for z. -5 Let i = -71 - -71. Let l be 7 + (-1 - (2 - 0)). Suppose 0 = l*j - 5 - 3. Solve 5*g - 5*d = i, -5*g - j*d + 10 = 3*d for g. 1 Suppose 5*z = -z + 18. Solve 2 = 3*x + a - z, -20 = -3*x - 4*a for x. 0 Let h(c) = -3*c - 1. Let u be h(-1). Suppose 0 = -l + p - 1 + 2, 8 = 2*p. Solve l*k + 6*i - 17 = 3*i, k - u*i = -7 for k. 1 Suppose -4*w = 4*a + 4, 12 = 3*a - 3*w - 15. Suppose -a*y = -16 + 4, y - 3 = -3*f. Solve -2*l + f*l = 4*c - 8, -5*l - 24 = -c for c. 4 Suppose -12 = -4*g - 28. Let w be ((-14)/g + 3 + -5)*12. Solve -4*c = -3*x - w - 2, 20 = -5*x + 4*c for x. 0 Let y(n) = 6*n + 17. Let v be y(9). Let z = v - 70. Solve -2*a + u = z, -4*u = 4*a - 11 - 5 for a. 1 Suppose -5*q - 7 + 34 = j, -3*q + 15 = 0. Let p(t) = t + 1. Let d be p(j). Let v be -1*(d + -2)*-3. Solve -7*z + 2*z - 2*c = -21, -v*c - 21 = -3*z for z. 5 Suppose -2*
{ "pile_set_name": "DM Mathematics" }
1:47 PM and 4:16 PM? 149 How many minutes are there between 1:40 AM and 8:05 AM? 385 How many minutes are there between 5:23 PM and 4:04 AM? 641 How many minutes are there between 6:27 AM and 3:19 PM? 532 How many minutes are there between 6:32 PM and 5:53 AM? 681 What is 448 minutes before 5:13 PM? 9:45 AM How many minutes are there between 2:46 PM and 6:58 PM? 252 What is 204 minutes after 4:45 AM? 8:09 AM How many minutes are there between 5:05 AM and 7:24 AM? 139 How many minutes are there between 5:53 AM and 4:39 PM? 646 How many minutes are there between 9:54 AM and 6:07 PM? 493 What is 462 minutes after 1:21 PM? 9:03 PM How many minutes are there between 12:51 AM and 8:37 AM? 466 What is 605 minutes before 11:03 AM? 12:58 AM How many minutes are there between 3:08 AM and 5:14 AM? 126 How many minutes are there between 1:46 PM and 9:39 PM? 473 How many minutes are there between 6:12 PM and 8:51 PM? 159 How many minutes are there between 3:13 PM and 4:04 PM? 51 How many minutes are there between 10:26 AM and 5:12 PM? 406 How many minutes are there between 1:57 AM and 10:08 AM? 491 What is 681 minutes before 10:11 AM? 10:50 PM What is 710 minutes before 12:30 PM? 12:40 AM How many minutes are there between 1:01 PM and 12:33 AM? 692 What is 35 minutes after 9:29 PM? 10:04 PM How many minutes are there between 9:12 PM and 11:46 PM? 154 How many minutes are there between 11:10 AM and 10:55 PM? 705 What is 480 minutes before 6:11 PM? 10:11 AM What is 36 minutes before 1:59 AM? 1:23 AM What is 418 minutes before 4:14 AM? 9:16 PM What is 446 minutes after 12:51 AM? 8:17 AM How many minutes are there between 1:52 PM and 1:38 AM? 706 What is 11 minutes after 1:13 PM? 1:24 PM What is 96 minutes before 4:12 PM? 2:36 PM How many minutes are there between 2:39 AM and 5:13 AM? 154 What is 430 minutes after 1:53 AM? 9:03 AM What is 305 minutes after 7:56 AM? 1:01 PM What is 607 minutes after 8:34 PM? 6:41 AM How many minutes are there between 4:35 AM and 9:21 AM? 286 What is 354 minutes before 10:09 PM? 4:15 PM What is 448 minutes before 8:03 AM? 12:35 AM How many minutes are there between 2:47 AM and 9:32 AM? 405 What is 270 minutes after 6:04 AM? 10:34 AM How many minutes are there between 7:30 PM and 9:58 PM? 148 How many minutes are there between 1:40 PM and 7:04 PM? 324 How many minutes are there between 1:11 PM and 11:38 PM? 627 How many minutes are there between 10:31 PM and 5:27 AM? 416 How many minutes are there between 5:05 PM and 10:42 PM? 337 How many minutes are there between 8:09 AM and 4:43 PM? 514 What is 141 minutes before 1:53 AM? 11:32 PM How many minutes are there between 9:22 AM and 12:45 PM? 203 What is 91 minutes after 9:36 PM? 11:07 PM How many minutes are there between 7:16 PM and 2:28 AM? 432 How many minutes are there between 5:03 PM and 7:04 PM? 121 How many minutes are there between 2:11 PM and 6:36 PM? 265 How many minutes are there between 5:51 PM and 8:12 PM? 141 What is 160 minutes before 9:50 PM? 7:10 PM What is 432 minutes before 7:57 PM? 12:45 PM How many minutes are there between 1:01 PM and 8:44 PM? 463 How many minutes are there between 11:27 AM and 8:39 PM? 552 How many minutes are there between 5:03 PM and 4:21 AM? 678 How many minutes are there between 1:54 AM and 7:31 AM? 337 How many minutes are there between 11:43 PM and 12:59 AM? 76 What is 185 minutes after 8:05 PM? 11:10 PM What is 443 minutes before 1:47 AM? 6:24 PM What is 485 minutes after 5:23 AM? 1:28 PM What is 644 minutes after 4:22 PM? 3:06 AM What is 423 minutes after 10:43 PM? 5:46 AM What is 302 minutes after 12:07 PM? 5:09 PM What is 251 minutes after 12:09 AM? 4:20 AM How many minutes are there between 3:07 PM and 8:35 PM? 328 How many minutes are there between 7:31 PM and 7:35 PM? 4 How many minutes are there between 7:45 AM and 4:52 PM? 547 What is 305 minutes before 5:47 PM? 12:42 PM What is 705 minutes after 8:34 PM? 8:19 AM What is 71 minutes before 3:43 AM? 2:32 AM What is 496 minutes after 12:27 PM? 8:43 PM How many minutes are there between 11:17 PM and 4:44 AM? 327 How many minutes are there between 1:15 PM and 12:34 AM? 679 How many minutes are there between 10:54 AM and 10:37 PM? 703 How many minutes are there between 1:33 AM and 3:14 AM? 101 What is 610 minutes after 11:01 AM? 9:11 PM How many minutes are there between 4:08 AM and 5:37 AM? 89 How many minutes are there between 2:47 AM and 5:40 AM? 173 What is 532 minutes after 7:54 PM? 4:46 AM What is 432 minutes after 5:22 AM? 12:34 PM What is 6 minutes after 12:08 AM? 12:14 AM What is 149 minutes after 4:16 AM? 6:45 AM What is 101 minutes after 8:16 PM? 9:57 PM How many minutes are there between 8:59 AM and 5:15 PM? 496 How many minutes are there between 3:07 AM and 9:20 AM? 373 What is 543 minutes after 3:47 AM? 12:50 PM What is 59 minutes before 5:17 PM? 4:18 PM How many minutes are there between 9:50 PM and 5:43 AM? 473 How many minutes are there between 6:09 PM and 3:22 AM? 553 How many minutes are there between 2:52 AM and 9:36 AM? 404 How many minutes are there between 11:53 PM and 4:07 AM? 254 What is 605 minutes after 7:05 AM? 5:10 PM What is 459 minutes after 7:09 AM? 2:48 PM What is 591 minutes after 8:11 PM? 6:02 AM How many minutes are there between 10:43 AM and 4:50 PM? 367 What is 240 minutes after 5:07 AM? 9:07 AM How many minutes are there between 4:58 PM and 2:16 AM? 558 What is 703 minutes after 11:50 PM? 11:33 AM What is 238 minutes after 9:11 PM? 1:09 AM How many minutes are there between 5:52 AM and 7:30 AM? 98 How many minutes are there between 10:50 AM and 9:57 PM? 667 What is 211 minutes after 11:29 PM? 3:00 AM What is 630 minutes before 12:04 AM? 1:34 PM What is 6 minutes after 9:37 PM? 9:43 PM How many minutes are there between 9:46 PM and 11:47 PM? 121 What is 406 minutes after 8:54 AM? 3:40 PM How many minutes are there between 5:46 AM and 2:59 PM? 553 How many minutes are there between 5:11 AM and 6:48 AM? 97 How many minutes are there between 1:07 PM and 8:59 PM? 472 How many minutes are there between 11:19 PM and 11:13 AM? 714 How many minutes are there between 1:54 AM and 8:42 AM? 408 What is 154 minutes after 1:44 PM? 4:18 PM How many minutes are there between 1:46 PM and 12:22 AM? 636 How many minutes are there between 9:34 PM and 11:05 PM? 91 What is 453 minutes before 4:00 PM? 8:27 AM What is 572 minutes after 6:49 AM? 4:21 PM How many minutes are there between 6:58 AM and 7:52 AM? 54 What is 663 minutes after 10:19 AM? 9:22 PM What is 457 minutes after 3:52 PM? 11:29 PM What is 646 minutes after 9:24 PM? 8:10 AM How many minutes are there between 10:08 PM and 1:31 AM? 203 What is 549 minutes after 8:26 PM? 5:35 AM How many minutes are there between 9:17 PM and 4:11 AM? 414 How many minutes are there between 5:38 PM and 4:14 AM? 636 How many minutes are there between 12:29 AM and 8:34 AM? 485 What is 286 minutes before 9:02 AM? 4:16 AM What is 69 minutes after 6:54 PM? 8:03 PM What is 643 minutes before 12:33 PM? 1:50 AM How many minutes are there between 5:42 AM and 2:03 PM? 501 How many minutes are there between 10:28 PM and 10:10 AM? 702 What is 678 minutes before 9:29 PM? 10:11 AM What is 416 minutes before 8:19 AM? 1:23 AM How many minutes are there between 11:49 AM and 4:02 PM? 253 What is 231 minutes after 1:50 PM? 5:41 PM What is 669 minutes after 3:33 PM? 2:42 AM What is 139 minutes after 2:40 PM? 4:59 PM How many minutes are there between 8:45 PM and 8:06 AM? 681 What is 305 minutes after 4:52 PM? 9:57 PM How many minutes are there between 2:53 PM and 12:45 AM? 592 What is 126 minutes before 10:40 PM? 8:34 PM What is 420 minutes after 8:19 PM? 3:19 AM What is 709 minutes after 7:41 PM? 7:30 AM What is 12 minutes before 10:28 AM? 10:16 AM What is 623 minutes before 6:24 PM? 8:01 AM How many minutes are there between 10:49 PM and 11:16 PM? 27 What is 689 minutes after 1:50 AM? 1:19 PM What is 309 minutes before 11:51 PM? 6:42 PM How many minutes are there between 3:43 AM and 3:16 PM? 693 What is 578 minutes before 7:07 AM? 9:29 PM How many minutes are there between 7:48 PM and 7:21 AM? 693 How many minutes are there between 1:41 AM and 5:39 AM? 238 What is 145 minutes before 7:46 PM? 5:21 PM What is 104 minutes before 1:06 AM? 11:2
{ "pile_set_name": "DM Mathematics" }
). -2*v**2 - 8*v + 6 Let x(c) = -8*c + 7. Let v(m) = m**2 + 10*m - 8. Give -2*v(j) - 3*x(j). -2*j**2 + 4*j - 5 Let h(j) = -30*j**2 + 25*j + 25. Let a(l) be the third derivative of -l**5/60 + l**4/24 + l**3/6 + 29*l**2 + 2*l. Calculate -100*a(f) + 4*h(f). -20*f**2 Let c(g) = 3*g**3 + 969*g**2 - 6*g. Let f(o) = o**3 + 323*o**2 - 2*o. What is -2*c(d) + 7*f(d)? d**3 + 323*d**2 - 2*d Let v = 160 - 147. Let u(h) = -11*h**2 + 15*h + 4. Let c(g) = 5*g**2 - 7*g - 2. What is v*c(d) + 6*u(d)? -d**2 - d - 2 Let j(p) = 4*p**2 + 7*p - 7. Let v(g) = -3*g**2 + 4*g - 4. Let x(h) = -2*h**2 + h - 1. Let a(z) = v(z) - 2*x(z). Determine -21*a(i) + 6*j(i). 3*i**2 Let c be -2 + (-1 - -1) + 5. Let d(y) = -2 + 0*y - c*y - y. Let j(l) = -3*l - 2. Let o = -2 - 0. Calculate o*d(q) + 3*j(q). -q - 2 Let a(t) = 2*t**3 - 19*t**2 - 2*t + 2. Let f(j) = j**3 + j**2 + j. Calculate -a(u) - 2*f(u). -4*u**3 + 17*u**2 - 2 Let c(w) = -3*w**2 + 2*w + 1. Let j be 4/10 + 235/(-25). Suppose 0 = 2*f - 0*f - 5*r + 16, -5*f = 5*r - 30. Let t(b) = -13*b**2 + 8*b + 4. Give f*t(m) + j*c(m). m**2 - 2*m - 1 Let h(o) = -54*o - 227. Let g(f) = 34*f + 151. What is -8*g(y) - 5*h(y)? -2*y - 73 Let r(c) = 10*c + 8. Let q(p) = p + 1. Let z(k) = -12*q(k) + 2*r(k). Let v(s) = -15*s - 7. Determine 6*v(x) + 11*z(x). -2*x + 2 Suppose -l + 0*l + 16 = 4*y, -2*l = -3*y + 23. Let d(m) = -3*m**2 - 6*m - 1. Let z(s) = -3*s**2 - 5*s. Calculate l*z(w) + 3*d(w). 3*w**2 + 2*w - 3 Let c(z) = -15*z**3 - 168*z**2 + 26*z + 13. Let n(y) = -7*y**3 - 85*y**2 + 12*y + 6. Give 6*c(b) - 13*n(b). b**3 + 97*b**2 Let q(c) = -c**2 + 1. Let v(a) = 10*a**2 - 11. Suppose 2*y = 3 - 5, -2*y - 8 = 3*s. Suppose 0 = -10*i + 688 - 908. Determine i*q(r) + s*v(r). 2*r**2 Let c(l) = -l - 3 + 0 + 1 + 1. Let a(g) = -8*g - 2. Suppose -2*x + 4*x = 2. Calculate x*a(d) - 6*c(d). -2*d + 4 Let n(o) = -o**3 + 12*o**2 - 46*o + 6. Let l(y) = 2*y**2 + y + 1. What is -6*l(j) + n(j)? -j**3 - 52*j Let a(f) = -25*f + 56. Let d(k) = -56*k + 113. Determine -9*a(u) + 4*d(u). u - 52 Let j(h) = h - 1. Let d(i) = i - 20. Let y be d(10). Let s(o) be the first derivative of -3*o**2 + 5*o + 58. Give y*j(a) - 2*s(a). 2*a Let p(d) = -10 - 381*d - 443*d + 870*d. Let x(l) = 15*l - 3. What is -3*p(a) + 10*x(a)? 12*a Let t(l) = l + 7. Let p(s) = -s - 2. Let v(d) = -8*p(d) - 3*t(d). Let w(j) = -5*j + 6. What is 5*v(x) + 4*w(x)? 5*x - 1 Let s(p) be the third derivative of 3*p**5/20 + 5*p**4/24 + 2*p**2. Let l be 2/(-21) + 16700/(-1050). Let y(h) = 28*h**2 + 16*h. Determine l*s(d) + 5*y(d). -4*d**2 Let c = -3 + 8. Let u(x) = -1 + c - x - x. Suppose 0 = n + 2*w - 2, -5*n - 5*w + 10 = 0. Let b(l) = -l + 2. Determine n*u(m) - 5*b(m). m - 2 Let p(n) = -2. Let y(z) = -40. Let g(d) = -64*p(d) + 3*y(d). Let k(t) = t - 7. Give 6*g(h) + 7*k(h). 7*h - 1 Let j(d) = -7*d**2 + 2 + 5 - 1. Let z(r) = -11*r**2 + 15*r. Let q(a) = -a**2 + 3*a - 1. Let x(b) = -5*q(b) + z(b). Determine -5*j(u) + 6*x(u). -u**2 Suppose -2*s = 4*l + 16, -4*l - 4*s - 9 - 3 = 0. Let x(c) = 5 + 3*c - 5*c + 6*c. Let a(k) = 10*k + 12. Give l*a(y) + 12*x(y). -2*y Let b = 8 + -8. Suppose 3*h - 4 = 2. Let k(x) = 2*x**h + b*x**2 + 3*x**2. Let n(a) = -a**2. Give k(j) + 6*n(j). -j**2 Let a(i) = 17*i - 5. Let v(j) = 60*j - 18. Suppose -5*m = 2*c - 28, -c - m = 2*m - 12. Suppose 9*k + c = -21. Determine k*v(u) + 18*a(u). 6*u Suppose -37*w = 18 + 93. Let u(n) = 10*n**2 + 3*n + 1. Let i(a) = 19*a**2 + 5*a + 1. Determine w*i(y) + 5*u(y). -7*y**2 + 2 Let t(f) = 44*f**3 - 14*f**2 - 34*f - 16. Let s(l) = 9*l**3 - 3*l**2 - 7*l - 3. What is -14*s(w) + 3*t(w)? 6*w**3 - 4*w - 6 Let u(x) = -10*x - 7. Let p(s) = s**2 + 28*s + 19. Give -4*p(q) - 11*u(q). -4*q**2 - 2*q + 1 Let n(d) = 1 + d**2 + 331*d - 660*d + 329*d. Let j(r) = -2*r**3 - 8*r**2 - 3. Calculate -j(p) - 3*n(p). 2*p**3 + 5*p**2 Let k(b) = b - 13. Let q(t) = 2. Let w(i) = -6*k(i) - 34*q(i). Let j(o) = -2*o + 3. Let h = 26 + -32. Let x be (-1)/((-15)/h + -2). Determine x*w(g) + 7*j(g). -2*g + 1 Let v(x) = 8*x - 3. Let h(p) = p**2 + 24*p - 8. Determine 3*h(m) - 8*v(m). 3*m**2 + 8*m Let c(j) = -j**3 - 4*j**2 - 3. Let f(i) = 7 - 8*i**2 - 8 + 7*i**2. Determine 2*c(s) - 6*f(s). -2*s**3 - 2*s**2 Let y(s) be the second derivative of 2*s**3 + 9*s**2/2 + 65*s - 2. Let o(l) = -l - 1. Let u(t) = -t**2 - t + 1. Let x be u(-2). Give x*y(z) - 9*o(z). -3*z Let h be (6/(-18) - (-24)/(-9))/(-1). Let g(i) = 3*i - 2*i + 0*i. Let o(b) = 2 - 3 + 2 + 2*b - b**2 + 1. Give h*g(d) - o(d). d**2 + d - 2 Let j(n) = 13*n**3 + 7*n**2 - 4*n. Let t(u) = u - 32. Let w be t(36). Let z(o) = -7*o**3 - 4*o**2 + 2*o. Give w*j(d) + 7*z(d). 3*d**3 - 2*d Let o be 7*-2*2/(-4). Suppose 4*g = 3*b - 0*g + o, -b = 2*g - 1. Let q(p) = -p**3 - 2. Let l(k) = -k + 1. Give b*q(a) - l(a). a**3 + a + 1 Let t(m) = -7*m**2 - 52. Let k(s) = -2*s**2 + 3. Calculate 2*k(w) - t(w). 3*w**2 + 58 Let c(j) = 19*j + 4. Let g(k) = k + 7. Give -c(r) + 6*g(r). -13*r + 38 Let l(j) = -8*j**2 - 5*j - 4. Let z(f) = 23*f**2 + 11 - 645*f + 333*f + 326*f. What is 8*l(d) + 3*z(d)? 5*d**2 + 2*d + 1 Let q(s) = -4*s**2 + 3. Let h(o) = -7*o**2 + 5. Give -3*h(l) + 7*q(l). -7*l**2 + 6 Let i(z) = -2*z - 5. Let o(w) = 2*w + 15. Let x be o(-5). Suppose 10 = -v - 4*s + 2, 0 = -x*s - 5. Let l(h) = 2*h + 6. What is v*l(b) - 5*i(b)? 2*b + 1 Let q(i) = 33*i - 14. Let s(o) = -64*o + 30. Determine -13*q(w) - 6*s(w). -45*w + 2 Suppose 5*x - 5*a + 20 = 0, 2*x - 19*a + 3 = -22*a. Let i(r) = 20*r**3 + 3*r. Let m(y) = 140*y**3 + 20*y. What is x*m(p) + 20*i(p)? -20*p**3 Let u(d) = 6*d**2 + 4. Let l(i) = i**2 + i - 6. Let v(f) = -17*f**2 - 4*f + 15. Let z(c) = -4*l(c) - v(c). Determine -7*u(s) + 3*z(s). -3*s**2 - 1 Let d be -5 + (0 + -3)*23/(-69). Let n(f) be the third derivative of -f**4/6 - f**3/3 + 6*f**2. Let j(c) = -5*c - 2. Determine d*n(k) + 3*j(k). k + 2 Let p(y) = -2*y**2 + 19*y - 3. Let u(c) = c**2 - c - 1. Determine -p(a) + 3*u(a). 5*a**2 - 22*a Let a(r) = 3*r + 5. Suppose -2*m = -4*m + 8. Let o(i) = 2 - m*i - 5 - 1 - 2. Determine -6*a(h) - 5*o(h). 2*h Let x be (-5)/(-10) + 9/6. Suppose x*d = -2*d - 8. Let a(u) = -u**2 + u. Let q(t) = -t - 1. Determine d*q(s) - 2*a(s). 2*s**2 + 2 Let s(y) = y + 1. Let a = -81 - -78. Let r be (9/(-12))/(a/(-72)). Let h(d) = 5*d + 1 + 8 + 5*d. Calculate r*s(q) + 2*h(q). 2*q Let a(u) = 1. Let s = 15 + 110. Let t = 126 - s. Let v(o) = 2*o**3 - 3*o**2 + 2*o - 2. What is t*v(f) + 2*a(f)? 2*f**3 - 3*f**2 + 2*f Let s(q) = 167*q**2. Let o(r) = -13529*r**2. Give -2*o(u) - 163*s(u). -163*u**2 Let c(s) = -s**3 + 5*s**2 + s + 3. Let w(h) = h**3 - 6*h**2 - h - 4. Let x be (28/35)/(2/30*2). Calculate x*c(l) + 5*w(l). -l**3 + l - 2 Let y(a) = -13*a**3 + 13*a**2 - 6*a - 2. Let r(q) = -14*q**3 + 15*q**2 - 7*q - 2. Calculate -6*r(j) + 7*y(j). -7*j**3 + j**2 - 2 Let l(i) = i - 1. Suppose 4*j + 2*m - 28 = 0, -j - 4 + 2 = -4*m. Let s(c) = 8*c - 19. Let w(b) = -4*b + 9. Let f(r) = j*s(r) + 13*w(r). Give f(a) + 5*l(a). a - 2 Let l(n) = -4*n**2 - n - 7. Suppose 0 = 5*w + 32 - 97. Let m(s) = -9*s**2 - 2*s - 15. Suppose 4*y - 20 = 0, -y + 22 + 1 = -3*i. Determine i*m(c) + w*l(c). 2*c**2 - c - 1 Suppose -35*x + 28 = -39*x. Let j(o) = 11*o + 2. Let y(z) = -21*z - 3. Calculate x*j(f) - 4*y(f). 7*f - 2 Let b(u) = u**2 - 2. Let y(k) = -11*k**3 + 3*k**2 - 2*k - 5. What is 3*b(x) - y(x)? 11*x**3 + 2*x - 1 Let j(l) be the third derivative of l**6/40 + l**4/6 - 7*l**3/6 - 259*l**2. Let q(i) = 2*i**3 + 2*i - 4. Give 4*j(c) - 7*q(c). -2*c**3 + 2*c Let y(i) = 3*i - 179. Let a(l) = 2*l - 2. Determine -2*a(r) + y(r). -r - 175 Let g(w) = -4*w**3 + 69*w**2 + 3*w. Let k(v) = -9*v**3 + 138*v**2 + 7*v. Give 5*g(c) - 2*k(c). -2*c**3 + 69*c**2 + c Let u(p) = 28*p + 5. Let k(v) = 14*v + 2. Let m be 6/27 - (5 - 6/(-27)). Determine m*k(j) + 2*u(j). -14*j Let j(t) = -173565*t. Let c(y) = -315*y. What is -2205*c(p) + 4*j(p)? 315*p Let k(n) = 7*n**2 + 2*n + 12. Let x(z) = z**2 + 3. Let r(t) = -k(t) + 2*x(t). Let i(v) = 1. What is -6*i(j) - r(j)? 5*j**2 + 2*j Let q(w) = 70*w**3 + 36*w**2 + 14. Let o(a) = -23*a**3 - 13*a**2 - 5. What is -11*o(c) - 4*q(c)? -27*c**3 - c**2 - 1 Let l(h) = 12*h - 7*h**2 - 20*h + 6*h. Let g(i) = -4*i**2 - i. Let y(d) = d**2 + 14*d + 16. Let j be y(-13). What is j*l(n) - 5*g(n)? -n**2 - n Let a(c) = 2*c**2 - c. Let v(m) = 5*m**2 - 4*m. Suppose 0 = -4*o - 3
{ "pile_set_name": "DM Mathematics" }
multiple of m and l? 15 Let k be ((-3)/(-6))/(((-3)/20)/3). Let o = k - -16. What is the smallest common multiple of 18 and o? 18 Find the common denominator of 31/11 and (-223 + 4)*(-1)/549. 2013 Suppose 0 = 13*v - 46 - 32. Let a(p) = -2*p. Let c be a(-2). Suppose 4*k - 52 = -3*f, -f + 19 = c*k - 9. Calculate the least common multiple of v and f. 12 Let a(c) = -3*c + 9. Let x be 69/(-15) - (-3)/5. Let m be a(x). Suppose z - 4*z + m = 0. What is the lowest common multiple of z and 1? 7 Let q(j) = j**3 - 3*j**2 - 4*j - 6. What is the least common multiple of (8 - 12)/((-7)/42) and q(5)? 24 Let b be -2 + 14/16*3841. Let j = -3364 + b. Calculate the common denominator of (-186)/4*198/1188 and j. 8 Let o(n) = -n**3 + 8*n**2 + 11*n - 4. Calculate the smallest common multiple of o(9) and 1200. 8400 Suppose -46*k - 15 = -49*k. Suppose -3*d + 12 = -0*d. Suppose d*a - 8 = 3*a. What is the lowest common multiple of k and a? 40 Find the common denominator of (3/((-1485)/306))/((-8)/5) and 121/10. 220 Let a = 2583 - 1314745/509. Let m = a + -7144/4581. Let r = -1382/1645 + -4/235. What is the common denominator of m and r? 63 Let v be (189/56)/(26/(-158)). Let x = v + 252/13. Find the common denominator of x and -27/4. 8 Let p = -13/8449 - 64406662/42245. Let f = 1516 + p. What is the common denominator of -63/8 and f? 40 Suppose 5*o - 24 = 31. Let c(a) = a**3 - a**2 - a - 35. Let r be c(0). Let n = 42 + r. What is the smallest common multiple of o and n? 77 Let a(g) = g**2 - 2*g - 8. Suppose -6*i + 30 = -i. What is the lowest common multiple of 6 and a(i)? 48 Suppose 0 = -5*l - 4*l + 36. Let m = -2 + 2. Suppose 3*c - 3*i - l = 2*c, -i = m. What is the smallest common multiple of 11 and c? 44 Let o(q) = -3*q - 11. Let k = -30 - -21. Let v = k + 4. What is the smallest common multiple of o(v) and 18? 36 Let m(w) = 23*w**2 + 2*w + 90. What is the smallest common multiple of 24 and m(0)? 360 Let g = -603 - -273. Find the common denominator of -85/8 and g/(-32) - (5 + -1). 16 Let u = 1991/60 + -151/4. What is the common denominator of 55/63 and u? 630 Let c = -77 - -104. Calculate the least common multiple of c and 15. 135 Suppose 118 = 3*x - 0*j + 2*j, 0 = -2*x - j + 77. Suppose -g - g = -x. What is the lowest common multiple of (64/24)/(2/g) and 12? 24 Let x = -2/267 - 681/178. Find the common denominator of x and (2/6)/(-6 - 15574/(-2613)). 24 Let s(t) = -2*t**2 + 3*t + 3. Let v be s(3). Suppose -3*x - 62 = -5*d, 0*x - 2*d + 68 = -3*x. Let k = v - x. What is the smallest common multiple of k and 12? 36 Suppose 0 = 5*q - 7 - 3. Suppose 5*r = -4*i + 22, q*r + 36 = -0*i + 4*i. Calculate the smallest common multiple of 35 and i. 280 Let o be -9*(-17 + -6*4/(-12)). Let x = o - 120. Calculate the least common multiple of 7 and x. 105 Let i(w) = -w - 6. Let l be i(-16). Suppose v - 6*v = -l. Let b(t) = t**2 + 3*t + 4. What is the lowest common multiple of b(3) and v? 22 Calculate the lowest common multiple of 237 and (-170)/102*(-144)/5. 3792 Let f = 23083/30 - 3753/5. Find the common denominator of (-2)/(-36)*(-6681)/(-34) and f. 12 Suppose 12 = 2*j + 3*j - 2*u, -4*u + 8 = -2*j. Suppose j*l - l = -24. Let o = 15 + l. Calculate the lowest common multiple of o and 10. 70 Suppose 2 = 2*w - 20*o + 19*o, w + 2 = -o. Let a be -8*(5/4)/(-1). Let h = a + w. Calculate the lowest common multiple of h and 8. 40 Suppose 2*y - 5*y = -72. Suppose -3*p - 3*d = -51, 2*p - 592*d + 590*d - 14 = 0. Calculate the smallest common multiple of p and y. 24 Let i(h) = -h**3 + 5*h**2 - 1. Let d(j) = j - 1. Let k be d(5). Let m be i(k). Let a = -4 + m. What is the lowest common multiple of a and 4? 44 Let p(l) = -2*l - 22. Let x be p(-11). Suppose x*h - 6*h + 54 = 0. Suppose -5*c - 3*y - y = -90, c = 5*y - 11. What is the smallest common multiple of c and h? 126 Let p = 44488/27 - 1647. Calculate the common denominator of p and 5/48. 432 Suppose w = -3*z - w + 84, -5*w - 15 = 0. Let i(m) = -2*m**3 + 19*m**2 - 2*m + 6. Let x be i(9). Let h = -67 + x. What is the lowest common multiple of h and z? 30 Let k = -3958147/45052 + 1/6436. Let t = 13593/154 + k. What is the common denominator of t and -145/18? 198 Let o = 3135/29 + -115615/1044. Find the common denominator of o and 301/(-315)*(-3)/(-2). 180 Suppose -c - 5*o + 65 = 0, 9*o + 25 = c + 6*o. Calculate the smallest common multiple of 20 and c. 40 Let l = -239/3 - -829/12. Find the common denominator of l and ((-44)/330)/(8*(-2)/702). 60 Let t be 192/87 - (-4)/(-2). Let b = t + 211699/145. Let a = -1468 + b. What is the common denominator of 35/9 and a? 45 Let i = -4/3631 + -496887/508340. Let x = -7746 - -46613/6. What is the common denominator of i and x? 420 Let t(k) = -2*k + 11. Let i(s) = -s + 6. Let r(c) = 5*i(c) - 2*t(c). Calculate the least common multiple of r(-4) and 1/((-74)/(-36) - 2). 36 Suppose 3*p - 2*b - 17 = 0, 5*p = 3*b + 30 - 1. Suppose 0 = 2*x - 7*x - 60. Calculate the smallest common multiple of p and 9/6 + 6/x. 7 Let i = 55 - 60. Let v = 5 - i. What is the smallest common multiple of 20 and v? 20 Let o = 38 - 18. Calculate the least common multiple of o and 24. 120 Let j(g) = -2172*g**3 + g + 1. Let r be j(-1). Suppose -2*z - 11522 = r. Let l = z - -150573/22. What is the common denominator of l and 17/18? 198 Let w be (-18)/12 - (-17679)/(-5). Let i = 1014 + -4546. Let g = w - i. What is the common denominator of 87/20 and g? 20 Let u = -130 - -136. Suppose z - 108 = -2*z. Suppose 0*f - 2*f + z = 0. Calculate the smallest common multiple of f and u. 18 Let y = 4642 - 83681/18. Let m = -8084 - -64753/8. Find the common denominator of m and y. 72 Let h = 2/903 + 3868/903. What is the common denominator of 38 and h? 7 Let t = 153 - 152. What is the least common multiple of t and 23? 23 Find the common denominator of (670/(-15)*3)/(-39 - 3) and 62/123. 861 Let r = -2008 - -7949/4. Let q = -7/1346 - -24582/3365. What is the common denominator of q and r? 20 Suppose 3*n + 4 + 20 = 0. Find the common denominator of (1/(-4))/((-3)/(-534)) and (-151)/n*(-8)/6. 6 Let i(s) = s**2 - 6*s + 13. Let p be i(3). Suppose 3*r - 2 = p. What is the least common multiple of 8 and r? 8 Let v = 215 - -19. Calculate the common denominator of (v/(-64))/((15/2)/5) and 49/16. 16 Let y be 261/18 + 2/(-4). Let l = y - 8. Let j = 0 + 7. Calculate the smallest common multiple of j and l. 42 Let d be 2*1 - (-3 + 5). Suppose 0 = p + 2*c - 62 + 24, d = -2*p + 5*c + 67. What is the common denominator of (1016/p)/(8/(-6)) and -7/3? 6 What is the smallest common multiple of (28/(-6))/((-1)/3) and (70/(-28))/(-3 - 43/(-16))? 56 Suppose -156 = -6*h - 12. Calculate the smallest common multiple of 30 and h. 120 Let z = 1352 - 705. Calculate the common denominator of z/(-153) - (-20)/170 and 65/9. 9 Calculate the common denominator of (-588)/784 + 3150/3736 and -15/16. 7472 Suppose 3*t = 5*y + 46, -4*y = t + 4*t - 126. What is the lowest common multiple of 489/33 - (-4)/t and 2? 30 Let h(b) = -5*b**2 - 20*b + 6. Suppose 101 - 11 = 3*x. What is the least common multiple of x and h(-3)? 210 What is the common denominator of (-54824)/1424 + -1*-1*2 and (-53)/(-303)*6/(-4)? 202 Let m(c) = -c**2 + 5*c - 3. Calculate the smallest common multiple of 4 and m(4). 4 Let u = -986659 + 39475053/40. Let l = u - 1136/5. What is the common denominator of -67/58 and l? 232 Suppose 3*n = v + 6, -8*v + 3*v = -5*n. Calculate the lowest common multiple of n and 1364. 4092 Let s(d) = -d**2 + 17*d + 4. What is the lowest common multiple of s(11) and 70? 70 Suppose -20*g = 145 - 1025. What is the least common multiple of 264 and g? 264 What is the common denominator of 33/74 and 14/5*(-65)/(-8)? 148 Suppose -126 = -4*z + h, 2*z = -3*h + 85 - 15. Calculate the lowest common multiple of z and 1 - 2 - (-10)/1. 288 Suppose -163 = -12*s - 19. What is the smallest common multiple of s and 44? 132 Suppose 0 = 10*n + 11*n - 2184. Suppose -n*x + 101*x = -39. Suppose -2*z = v - 0*z + 3, 2*v = -2*z. What is the smallest common multiple of x and v? 39 What is the smallest common multiple of 11 and (-10)/(-3)*(-8505)/(-675)? 462 Let g(d) = 806*d + 5. Let h be g(-4). Let b = 25799/8 + h. What is the common denominator of 4/(-6) + 46/4 and b? 24 Suppose -2*i + 104 = -28. What is the lowes
{ "pile_set_name": "DM Mathematics" }
m of 17649, 35296, 52943? 17647*h + 2 What is the p'th term of 409, 453, 491, 523, 549, 569? -3*p**2 + 53*p + 359 What is the c'th term of 15881, 31825, 47767, 63707, 79645, 95581, 111515? -c**2 + 15947*c - 65 What is the z'th term of 1679, 6707, 15085, 26813? 1675*z**2 + 3*z + 1 What is the d'th term of -143, -207, -313, -461, -651, -883? -21*d**2 - d - 121 What is the h'th term of -3660, -7293, -10896, -14469, -18012, -21525? 15*h**2 - 3678*h + 3 What is the n'th term of 5654, 11335, 17016, 22697, 28378, 34059? 5681*n - 27 What is the j'th term of 3705, 7394, 11083, 14772, 18461, 22150? 3689*j + 16 What is the l'th term of 286, 2294, 7754, 18394, 35942, 62126, 98674? 288*l**3 - 2*l**2 - 2*l + 2 What is the u'th term of -6978, -13912, -20844, -27774, -34702, -41628, -48552? u**2 - 6937*u - 42 What is the c'th term of 444378, 888760, 1333142, 1777524? 444382*c - 4 What is the h'th term of 2694, 10814, 24354, 43320, 67718, 97554, 132834? h**3 + 2704*h**2 + h - 12 What is the u'th term of 2516, 2506, 2494, 2480, 2464, 2446, 2426? -u**2 - 7*u + 2524 What is the j'th term of 2323, 4901, 7479, 10057? 2578*j - 255 What is the t'th term of 2656, 10653, 23986, 42655, 66660? 2668*t**2 - 7*t - 5 What is the k'th term of -651, -1355, -2061, -2769, -3479? -k**2 - 701*k + 51 What is the s'th term of -439, -1819, -4127, -7369, -11551, -16679, -22759, -29797? -s**3 - 458*s**2 + s + 19 What is the y'th term of -15, 62, 225, 468, 785, 1170? -y**3 + 49*y**2 - 63*y What is the j'th term of -21853, -21841, -21829, -21817, -21805? 12*j - 21865 What is the k'th term of -24, -85, -190, -351, -580, -889, -1290, -1795? -2*k**3 - 10*k**2 - 17*k + 5 What is the i'th term of -64718, -64720, -64720, -64718, -64714? i**2 - 5*i - 64714 What is the x'th term of -326, -1205, -2670, -4721, -7358? -293*x**2 - 33 What is the d'th term of -901, -980, -1113, -1300? -27*d**2 + 2*d - 876 What is the y'th term of -54853, -109709, -164569, -219433, -274301? -2*y**2 - 54850*y - 1 What is the x'th term of -478, -615, -752, -889, -1026, -1163? -137*x - 341 What is the x'th term of 1863, 3748, 5635, 7524? x**2 + 1882*x - 20 What is the k'th term of -4631, -9260, -13889, -18518, -23147? -4629*k - 2 What is the t'th term of -3257, -6511, -9763, -13013? t**2 - 3257*t - 1 What is the c'th term of -2455, -2478, -2501? -23*c - 2432 What is the j'th term of -2709, -5444, -8163, -10860, -13529, -16164, -18759, -21308? j**3 + 2*j**2 - 2748*j + 36 What is the p'th term of 283, 483, 645, 751, 783, 723, 553? -3*p**3 - p**2 + 224*p + 63 What is the a'th term of 119, 112, 91, 50, -17, -116, -253? -a**3 - a**2 + 3*a + 118 What is the l'th term of -3680, -3682, -3684, -3686, -3688? -2*l - 3678 What is the j'th term of 111, 707, 1701, 3093, 4883, 7071? 199*j**2 - j - 87 What is the t'th term of -1586, -3167, -4716, -6221, -7670, -9051, -10352? 2*t**3 + 4*t**2 - 1607*t + 15 What is the y'th term of 5128, 10257, 15386, 20515, 25644? 5129*y - 1 What is the x'th term of 30894, 30938, 30996, 31074, 31178, 31314? x**3 + x**2 + 34*x + 30858 What is the m'th term of -1178, -1186, -1196, -1208, -1222, -1238, -1256? -m**2 - 5*m - 1172 What is the z'th term of -15791, -15848, -15907, -15968, -16031, -16096, -16163? -z**2 - 54*z - 15736 What is the z'th term of 331439, 662872, 994305, 1325738? 331433*z + 6 What is the p'th term of 1334, 2748, 4274, 5912, 7662? 56*p**2 + 1246*p + 32 What is the m'th term of 2960, 23740, 80140, 189968, 371032, 641140? 2968*m**3 + 2*m**2 - 2*m - 8 What is the s'th term of 1144128, 4576534, 10297210, 18306156, 28603372, 41188858, 56062614? 1144135*s**2 + s - 8 What is the g'th term of -19506, -19498, -19488, -19476, -19462, -19446? g**2 + 5*g - 19512 What is the f'th term of 8178, 8207, 8254, 8319, 8402, 8503? 9*f**2 + 2*f + 8167 What is the l'th term of -51, -61, -35, 45, 197, 439? 3*l**3 - 31*l - 23 What is the j'th term of -1271, -2616, -3959, -5300, -6639, -7976? j**2 - 1348*j + 76 What is the p'th term of -3860, -7735, -11610, -15485, -19360, -23235? -3875*p + 15 What is the f'th term of -1504, -6076, -13688, -24334, -38008? f**3 - 1526*f**2 - f + 22 What is the d'th term of -148, -717, -1642, -2905, -4488? 3*d**3 - 196*d**2 - 2*d + 47 What is the q'th term of -253, -294, -335, -376, -417, -458? -41*q - 212 What is the t'th term of -135888, -135883, -135874, -135861, -135844? 2*t**2 - t - 135889 What is the h'th term of -2959, -5915, -8871, -11827? -2956*h - 3 What is the k'th term of -789, -993, -1197, -1401, -1605? -204*k - 585 What is the y'th term of -459, -792, -1121, -1446, -1767? 2*y**2 - 339*y - 122 What is the v'th term of 5003, 5012, 5021, 5030? 9*v + 4994 What is the g'th term of -951, -896, -737, -420, 109, 904, 2019? 9*g**3 - 2*g**2 - 2*g - 956 What is the d'th term of -95976, -191975, -287976, -383979, -479984? -d**2 - 95996*d + 21 What is the g'th term of 2544, 10151, 22844, 40629, 63512? g**3 + 2537*g**2 - 11*g + 17 What is the x'th term of 38, -89, -208, -319, -422, -517? 4*x**2 - 139*x + 173 What is the m'th term of -231, -1896, -6437, -15300, -29931, -51776, -82281? -241*m**3 + 8*m**2 - 2*m + 4 What is the x'th term of 527, 487, 403, 251, 7, -353, -853? -4*x**3 + 2*x**2 - 18*x + 547 What is the f'th term of 819, 917, 997, 1059? -9*f**2 + 125*f + 703 What is the t'th term of -2587, -2664, -2791, -2968? -25*t**2 - 2*t - 2560 What is the a'th term of 7, -14, -55, -116, -197, -298, -419? -10*a**2 + 9*a + 8 What is the m'th term of 729, 2897, 6509, 11565, 18065, 26009? 722*m**2 + 2*m + 5 What is the w'th term of 11605, 23212, 34817, 46420, 58021? -w**2 + 11610*w - 4 What is the v'th term of -5562, -5536, -5492, -5430, -5350, -5252? 9*v**2 - v - 5570 What is the c'th term of 7598, 15193, 22788? 7595*c + 3 What is the y'th term of -427, -402, -355, -286, -195, -82, 53? 11*y**2 - 8*y - 430 What is the b'th term of 575, 602, 655, 746, 887, 1090, 1367, 1730? 2*b**3 + b**2 + 10*b + 562 What is the x'th term of 239, -1046, -3189, -6190, -10049, -14766? -429*x**2 + 2*x + 666 What is the g'th term of 232, 203, 124, 1, -160, -353, -572, -811? g**3 - 31*g**2 + 57*g + 205 What is the u'th term of -36, -87, -194, -375, -648? -3*u**3 - 10*u**2 - 23 What is the g'th term of -8943, -8858, -8709, -8490, -8195, -7818, -7353, -6794? g**3 + 26*g**2 - 8970 What is the n'th term of 57, 25, -43, -165, -359, -643? -3*n**3 - 11*n + 71 What is the y'th term of 13666, 13675, 13694, 13723? 5*y**2 - 6*y + 13667 What is the u'th term of 412204, 412201, 412198, 412195, 412192? -3*u + 412207 What is the d'th term of 68407, 273650, 615723, 1094626? 68415*d**2 - 2*d - 6 What is the c'th term of -637793, -1275571, -1913347, -2551121, -3188893? c**2 - 637781*c - 13 What is the a'th term of -291, -579, -863, -1143, -1419? 2*a**2 - 294*a + 1 What is the s'th term of 28, 188, 610, 1426, 2768, 4768, 7558, 11270? 22*s**3 - s**2 + 9*s - 2 What is the t'th term of 4253, 8405, 12557, 16709, 20861? 4152*t + 101 What is the c'th term of 88, 113, 90, -29, -292, -747, -1442? -8*c**3 + 24*c**2 + 9*c + 63 What is the z'th term of 1480, 1488, 1496, 1504, 1512, 1520? 8*z + 1472 What is the j'th term of -865, -6903, -23269, -55123, -107625, -185935, -295213, -440619? -860*j**3 - 4*j**2 - 6*j + 5 What is the g'th term of 91, 173, 311, 517, 803, 1181? 2*g**3 + 16*g**2 + 20*g + 53 What is the d'th term of -9491, -38134, -85871, -152702, -238627, -343646, -467759? -9547*d**2 - 2*d + 58 What is the c'th term of -43857, -87723, -131589, -175455? -43866*c + 9 What is the m'th term of -519, -1050, -1633, -2298, -3075, -3994, -5085? -5*m**3 + 4*m**2 - 508*m - 10 What is the o'th term of 121, 221, 283, 301, 269? -o**3 - 13*o**2 + 146*o - 11 What is the f'th term of -189, -162, -111, -24, 111? 2*f**3 + 13*f - 204 What is the j'th term of 6026, 6206, 6386? 180*j + 5846 What is the i'th term of 132654, 132650, 132646, 132642, 132638? -4*i + 132658 What is the i'th term of -220, -238, -270, -328, -424, -570, -778? -2*i**3 + 5*i**2 - 19*i - 204 What is the r'th term of -6022, -5974, -5896, -5788? 15*r**2 + 3*r - 6040 What is the a'th term of 22145, 88590, 199333, 354374, 553713, 797350, 1085285? 22149*a**2 - 2*a - 2 What is the r'th term of 964, 3852, 8664, 15400, 24060, 34644? 962*r**2 + 2*r What is the m'th term of 91, 655, 2111
{ "pile_set_name": "DM Mathematics" }
3*y + 135170 = 5*l, 148*y = 150*y + 4*l - 90116. What is the units digit of y? 0 Let i = 100 - 103. Let c(b) = -2*b**3 + 6*b**2 + 13*b + 5. What is the units digit of c(i)? 4 Let k = 138 - -54. Suppose r + 74 = -4*g, -5*g + k = -3*r - 2*g. Let s = -37 - r. What is the tens digit of s? 2 Let z(u) = 567*u - 33. Let d be z(10). Suppose -7*x + d = -1517. What is the units digit of x? 2 Suppose -40728 = -3*q + 62*f - 58*f, 0 = q - 2*f - 13572. What is the tens digit of q? 8 Suppose 3*d - 1426 = g - 354, -1068 = -3*d - 3*g. What is the hundreds digit of d? 3 Let c = -204 - 153. Let x be 2/12 + 39*(-1843)/342. Let s = x - c. What is the units digit of s? 7 Suppose 0 = -3*z + 2 + 10, 3*v + z = 7. Let k(i) = 631*i**2 + 3*i - 2. What is the units digit of k(v)? 2 Suppose 11*j - 89*j + 711360 = 0. What is the hundreds digit of j? 1 Suppose 0 = -6*a - 1224 - 702. Let k = 1090 - a. What is the thousands digit of k? 1 What is the units digit of (13042/(-10))/(205/(-7175))? 7 Suppose -2*j + j = -4, 5*i = -3*j - 38. What is the tens digit of (-64519)/(-130) - (-3)/i? 9 What is the tens digit of ((-8937)/(-4))/((-897)/104 + 9)? 5 Let i be (2/8)/(2/712). Suppose -g + 14 = 5*o - 77, 0 = g + 4*o - i. What is the units digit of g? 1 Let t(s) = -22*s - 19. Let x be t(-1). Suppose 4*p + 95 = 5*y - 203, -y = -x*p - 64. What is the units digit of y? 8 Let t be ((-112)/(-10))/((92/840)/23). Suppose 0 = 4*u - h - t + 24, -2*u + 1178 = 3*h. What is the units digit of u? 3 Let c = 26791 + -16791. What is the thousands digit of c? 0 Let j be (-7500)/48 - (-3)/(-24)*-2. Let w = 219 + j. What is the tens digit of w? 6 Let b(c) be the second derivative of 719*c**5/20 + c**4/6 + c**3/3 - 3*c**2/2 - 20*c - 1. What is the hundreds digit of b(1)? 7 Let l(g) = -120*g + 14. Let b(z) = 602*z - 70. Let o(u) = -2*b(u) - 11*l(u). What is the tens digit of o(3)? 3 Let a(l) = -258*l - 15. Let p be a(-21). Suppose p = 5*g - 0*h + 3*h, 2162 = 2*g + 2*h. What is the tens digit of (-3)/7 - g/(-21)? 5 Let x = 33859 + 497. What is the units digit of x? 6 Suppose -1378 = -5*k + 127. Suppose 4*y + k = c, 3*c + 14*y - 17*y = 903. What is the tens digit of c? 0 Let p(i) = -27*i**3 + i**2 - 6*i - 10. Let a be p(4). Let g = -935 - a. What is the hundreds digit of g? 8 What is the units digit of (4/(-30) + (-104)/120)*-20914? 4 Let o(h) = 4*h + 38. Let g be o(-12). Let b be -1*(g + (0 - 12/(-3))). Suppose 0 = s - 14 + b. What is the units digit of s? 8 Suppose 5*b + 4*u = -10, 3*b + 3*u + 2*u + 19 = 0. Suppose 14 = 2*l - 5*f - 37, -3*l = b*f - 105. What is the units digit of l? 3 Let l(z) = 2*z**3 - 11*z**2 - 5*z + 4. Let n be l(6). Let q(k) = 5*k + 67. What is the tens digit of q(n)? 1 Let q(v) be the first derivative of 31*v**2 + 21*v + 7. What is the hundreds digit of q(3)? 2 Let p be (4 - (-11)/(-3)) + (-7520)/(-12). Let j = p - 244. What is the hundreds digit of j? 3 Let y(v) = 3*v**2 + 16*v - 71. Let n be ((-224)/72)/7*-18. What is the tens digit of y(n)? 4 Let a = 90 + 1739. Let r = a - -109. What is the hundreds digit of r? 9 Let w = 7583 - 6942. What is the units digit of w? 1 Let b = -66 - -70. Suppose -5*f - 102 = -b*f. Let w = -30 - f. What is the units digit of w? 2 Suppose 0*o - 5*f = -4*o - 57, 0 = -4*o - 4*f - 12. Let w = -2 - o. Suppose -74 - w = -10*c. What is the units digit of c? 8 What is the thousands digit of 7/(77891/(-156170) - 2/(-4))? 5 Suppose 13*x - 160 = 14*x. Let k = -40 - x. What is the hundreds digit of k? 1 Let d = 15169 + 195. Suppose p - 5900 = 5*q - d, -3*q = -p - 5680. What is the units digit of q? 2 Let i = 61 - 25. Let g = -31 + i. Suppose -10*u + 190 = -g*u. What is the tens digit of u? 3 Let i = -200 - -101. Let m = -94 - i. Suppose 4*c - d = 377, -c + 76 + 4 = -m*d. What is the tens digit of c? 9 Let y(p) = 30*p**2 + 3*p - 1. Let t(c) = 30*c**2 + 3*c - 1. Let w be 135/20 + (-4)/(-16). Let q(s) = w*y(s) - 6*t(s). What is the tens digit of q(1)? 3 Let u(g) = 255*g**2 + 22*g - 248. What is the units digit of u(12)? 6 Let l = 35198 - 13920. What is the hundreds digit of l? 2 Suppose -3*a - 12 = -a. Let l be 395/35 + 1 - (-4)/(-14). What is the units digit of l/(-7)*21/a? 6 Let q(t) = 2*t + 55. Let d be q(-19). Suppose -42 = -5*p - d, 5*p = 2*m + 471. Let y = 376 + m. What is the units digit of y? 3 Let m(d) = -2*d**3 - 9*d**2 - 6*d - 11. Let i be m(-6). Let r = i + -48. What is the tens digit of r? 8 Suppose 0 = 6*o - 9*o + 378. Suppose 3*g = 5*g - o. Suppose h - 111 = 4*v, 0 = h - v - g - 54. What is the tens digit of h? 1 What is the units digit of 2 + 1947176/242 + (-4)/22? 8 Let u = -17511 + 28331. What is the ten thousands digit of u? 1 Let o = 6 - 5. Suppose 3*g + 5*q = 108, -4*g + 144 = -0*g - q. What is the units digit of (0 + o + 1)*g/1? 2 Let d = 38362 - 25574. What is the units digit of d? 8 Let g(h) = -h**3 - 7*h**2 - 2*h + 1. Let d be g(-7). Suppose 7*a - 2*a = -d. Let u(o) = -2*o**3 - o**2 + 2*o. What is the units digit of u(a)? 9 Let t = -70 + 79. Suppose 318 = t*i + 39. Let h = 63 + i. What is the units digit of h? 4 Let z(f) = -283*f - 95. Suppose 27*c = -c - 84. What is the tens digit of z(c)? 5 Let p(f) = 2*f**3 + 8*f**2 + 72*f + 325. What is the tens digit of p(12)? 9 Let o(y) = -y + 4. Let k be o(5). Let q = -6 + k. What is the units digit of -8 - -4 - q*3? 7 Suppose -50 = -4*p - 4*u - 138, -3*p = -5*u + 34. Let v(q) = 9*q - 41. Let k be v(17). Let c = k - p. What is the units digit of c? 0 Let v(w) = 124*w**2 + 14*w + 29. Suppose -9*n + 2*r = -5*n + 10, 4*r - 8 = 4*n. What is the thousands digit of v(n)? 1 Suppose 0 = 32*w - 18*w + 924. What is the units digit of 154/w - 15184/(-12)? 3 Suppose -53 = 3*w - 194. Let r = w - 38. What is the tens digit of 3*78/r*(-1)/(-2)? 1 Suppose -5155 = 6*i - 19219. Suppose -1148 = -18*u + 16*u + 5*k, 4*u = -2*k + i. What is the hundreds digit of u? 5 Let r(p) = p**3 - 9*p**2 + 18*p. Let g be r(7). Suppose g = 55*o - 48*o. What is the units digit of o? 4 Let y(j) = 14*j**2 - 53*j + 401. What is the hundreds digit of y(32)? 0 Suppose -1 = -k + 4. Suppose 2*v = v + 4*o - 34, -k*o = -4*v - 147. Let g = 67 + v. What is the units digit of g? 9 Let x(q) = q**2 - 11*q + 119. Suppose 3*n = -t + 89, 0 = -5*n - 5*t + 207 - 72. What is the units digit of x(n)? 9 Suppose -283244 + 659296 = 73*f - 478194. What is the tens digit of f? 0 What is the units digit of 59830/2 - (-121 - -140)? 6 Let k(w) = 10*w**2 + 23*w + 63. Suppose 0 = 4*r + i + 11, 0 = -4*r + 3*i + 9 - 40. What is the tens digit of k(r)? 3 Let f(z) = 12*z - 5. Let r(g) = 9*g + 4. Let a be r(4). Let t = a + -33. What is the tens digit of f(t)? 7 Let b(w) = 24*w + 171. Let u be b(-7). What is the tens digit of 2/14*u - 409059/(-441)? 2 Let g = -119 + 389. Suppose -1190 = -5*o + g. What is the tens digit of o? 9 Let u be (-1)/(-7) + 16/((-112)/(-141525)). Suppose -u + 6058 = -20*b. What is the hundreds digit of b? 7 Let b = 58 + -57. What is the hundreds digit of 292 - (b + 4) - -4? 2 Suppose 5*j + 282 = 3*a, -2*a - 2*j + 282 = a. Let k = 55 + a. Suppose -6*n + 511 = -k. What is the units digit of n? 0 Let b = -40 - -9. Let l be (-58 + 1)*(-38)/(-57). Let z = b - l. What is the units digit of z? 7 Suppose -5*x + 4*x + 4*p + 13378 = 0, -13386 = -x - 4*p. What is the thousands digit of x? 3 What is the hundreds digit of (-209754)/(-63) - (-2 - 10/(-7))? 3 Suppose -20 = -5*w, 7*f - 5*w + 2 = 6*f. Suppose -m + f*h = 13*h - 793, m = -2*h + 800. What is the units digit of m? 8 Let g = -663 - -745. Suppose -79*s = -g*s + 3531. What is the hundreds digit of s? 1 Let r = 28029 - 26244. What is the hundreds digit of r? 7 Let a(h) = -48*h - 54. Suppose -16 = 4*g + 4*p, 4*g - 5*p + 44 - 10 = 0. What is the hundreds digit of a(g)? 2 Suppose -5*q = -2*m - 27, -4*m + 0*q = -3*q + 33. Let a be (m + (7 - 3))/(-1). What is the tens digit of 1*59/(-1 + a)? 5 Suppose 101*b + 16*b - 7835666 + 1490054 = 0. What is the hundreds digit of b? 2 Suppose -4*x - 247 = -f - 19, 5*f = 5*x + 1185. What is the tens digit of f? 4 Let y = 12893 + -8188. What is the units digit of y? 5 Suppose -4*x - 5*r + 936 = -3*r, -5*x + 1170 = 4*r. Let o = -89 + x. Suppose -8*l - 9 = -o. What is the tens digit of l? 1 Let n be (9/(-4))/9*0. Suppose -279 = 5*v - 3*z - 1260, 3*z + 6 = n. What is the hun
{ "pile_set_name": "DM Mathematics" }
q**2 - q - 1. Calculate l(c). 11 Let n(a) be the first derivative of -2*a**3/3 - 2*a**2 + a - 11. What is n(-3)? -5 Let z(b) be the third derivative of -b**5/120 + 3*b**4/8 + 4*b**3/3 + 7*b**2. Let w(m) be the first derivative of z(m). Suppose 3*q = q + 8. Calculate w(q). 5 Suppose 0*p - p - 28 = 3*z, 0 = z + 3*p - 4. Let o(d) = d + 12. Calculate o(z). 1 Suppose -13 = 3*v + 5*y, 0 = v + 2*y + y + 11. Let s(c) = v*c**2 - 3*c**2 + 5 - 2. What is s(0)? 3 Let n(j) = -6*j**3 + 2*j**2 + j. Suppose -3*o + 9 + 0 = 0. Suppose -o*d + 2*d - 1 = -4*a, -25 = 4*d + 5*a. Let p = d - -4. What is n(p)? 7 Let b be -1 - (-1 + -5) - 2. Let w(f) = -f**2 + f + 1. Let d(k) = 2*k**2 - 2*k - 1. Let q(a) = -3*d(a) - 4*w(a). Determine q(b). -13 Let c(b) be the second derivative of -b**4/12 - 2*b**3/3 - 3*b**2/2 - 5*b. What is c(-4)? -3 Let d(m) = -m**3 + 2*m**2 + 2*m - 2. Let y(t) = t**3 + 5*t**2 + 3*t - 2. Let p be y(-4). Let k = 5 - 0. Let f = k - p. Calculate d(f). -5 Let d = 29/10 - 2/5. Let y(p) be the first derivative of 2/3*p**3 + 2*p - 1 + d*p**2. Give y(-3). 5 Let v(b) = b - 4. Let g be v(4). Let z(p) = 3*p + p**3 + 5 - 4*p + g*p**3. Let l(x) = -x**3 - x**2 + 2*x. Let w be l(-2). What is z(w)? 5 Let a be (-11 - -8)*(-1)/(-12)*-4. Let t(j) = -3*j**3 + 2*j**2 - 2*j + 1. What is t(a)? -2 Let l(m) = 4*m**3 + 11*m**2 - 3*m + 1. Let f(y) = -5*y**3 - 12*y**2 + 3*y. Let x(g) = 5*f(g) + 6*l(g). What is x(5)? 16 Let t(p) = 0 - 2 + 1. Let h(o) = -o + 7. Let y(r) = -h(r) - 5*t(r). Let g be (-2)/6 + (-7)/(-3). Determine y(g). 0 Let q = -2 - -3. Let d(g) = -4*g**3 - 2*g**2 + g. Let n be d(q). Let s(u) = u**3 + 4*u**2 - 6*u + 6. Give s(n). 11 Suppose 4*n = -0*n - 48. Let b be (2/(-8))/((-3)/n). Let u(q) be the first derivative of 11*q**3/3 - q**2 - q + 1. Give u(b). 12 Let t(y) be the third derivative of -y**5/60 + 2*y**3/3 + 14*y**2. What is t(-3)? -5 Let n(q) = 2 - q + 4*q - 4*q. Suppose -3*u + 16 = 1. Give n(u). -3 Let l(n) be the third derivative of n**9/60480 - n**8/4032 - n**7/1008 - n**6/90 - n**5/30 + n**2. Let k(t) be the third derivative of l(t). Calculate k(6). -2 Let i = 4 + 1. Suppose 10 = n - 2*x - i, -15 = 3*x. Let c(d) be the first derivative of d**4/4 - 5*d**3/3 + 3*d**2/2 - 5*d - 1. Give c(n). 10 Let k(d) = d**2 - 6*d. Let r be k(6). Suppose 2*s - p = 2*p + 35, -5*s + 5*p + 85 = 0. Suppose -4*u + r = -s. Let v(t) = t**3 - 4*t**2 - 3*t + 6. Give v(u). -6 Let m(o) = 4*o**2 + 3*o**2 - 9 - 3*o**2 - 5*o - 3*o**2. What is m(7)? 5 Let l(g) = g - 1. Let n(c) = -4*c + 3. Let f(z) = -15*l(z) - 3*n(z). Determine f(4). -6 Let d(y) = 6*y**2 + 7 + 4 - 12 + 2*y. Determine d(1). 7 Let u(o) be the second derivative of o**4/12 + 5*o**3/6 + 4*o**2 - 27*o. What is u(-6)? 14 Let j = -9 - -14. Let r(t) be the third derivative of t**6/720 - t**5/20 + t**4/12 + 2*t**2. Let l(m) be the second derivative of r(m). Calculate l(j). -1 Let n(z) = z**2 + z - 1. Let b(v) = 2 + 8*v - 4 - 9 + v**3 + 0*v + v**2. Let k(m) = -b(m) + 5*n(m). What is k(4)? -6 Let y(n) = -n**3 + 5*n**2 - 2*n - 1. Let x(q) = q**3 - 9*q**2 + 2*q - 13. Let i be x(9). Calculate y(i). -11 Let w = 11 - 7. Let r(s) = s**3 - 3*s**2 - 4*s + 4. Let a be r(w). Let j(y) = -3*y + 1. Determine j(a). -11 Let y(u) be the third derivative of -u**6/120 - u**5/30 - u**4/12 + u**3/6 + 17*u**2. Calculate y(-2). 5 Let d be 2*-1*(-6)/(-4). Let w be (-4 - d) + -2 + 4. Let t be 5/(-2)*2/w. Let k(n) = -n - 4. What is k(t)? 1 Let g be 2 + -5 + 6 + -2. Let f(b) = 2*b - 1. Give f(g). 1 Let j(p) = 2 - p - 2*p - 1 + 7*p. Let i(a) = -a - 1. Let t(d) = -3*i(d) - j(d). Give t(5). -3 Let s(a) = a**3 - 4*a**2 - 5*a + 5. Let q be s(5). Suppose 0 = -x + 5*d + 1, -3*d = -3*x - 0 + 3. Let f(w) = 1 - 5 - 1 + x + 2*w. Determine f(q). 6 Let g(j) = -13*j**2 - 6*j + 9. Let r(n) = -7*n**2 - 3*n + 5. Let v(x) = 6*g(x) - 11*r(x). Let b be -2 + 0 - 2 - 0. Determine v(b). -5 Let n(q) = -q + 4. Let j = -4 + 7. Give n(j). 1 Suppose -3*r - 5*y = 5, -4*y - 5 = -r + y. Suppose r*z = 3*z - 15. Let c(o) = o**2 - 6*o. What is c(z)? -5 Let o(r) = 4*r**3 + r**2. Let w be o(-1). Let d(l) = -l**3 - l**2 - l - 2. Calculate d(w). 19 Let o = 11 + -5. Let w(s) = s - 2*s - o + 9. Suppose -6 = u - 3. What is w(u)? 6 Let k(r) = r - 3. Let f be k(5). Let c(m) = -6*m - 3 - f*m + 5*m + 2*m. Give c(-6). 3 Let i be 2/1 + 0 + -2. Suppose u - 4*u + 3 = i. Let d(z) = -u - 7*z**2 + 2 + 3*z**2. Determine d(-1). -3 Let c(m) = -m**2 + 3*m + 2. Let t be (20/15)/(2/3). Let a be ((-1)/2)/((-2)/(-16)). Let r = a + t. Give c(r). -8 Let a(s) = s**2 + 13*s + 18. Let o be a(-11). Let u(b) be the second derivative of b**5/20 + 5*b**4/12 + 2*b**3/3 + 5*b**2/2 - 2*b. What is u(o)? 5 Let v be 1/(0 + (-2)/(-4)). Let f(h) = -3 - 5*h + h**2 + 3*h**v + 0*h**2 - 5*h**2. Calculate f(-6). -9 Let y(s) = -s**3 - 5*s**2 - 3*s. Let v be y(-4). Let f(n) = 2*n**2 + 19*n + 10. Let p(x) = x**2 + 10*x + 5. Let q(t) = 6*f(t) - 11*p(t). Calculate q(v). 5 Let w(s) = s**3 + s**2 - s - 1. Let y = 16 + -17. Give w(y). 0 Let h be (-5)/(5/3) - -3. Suppose 5*j + 3*w + 3 = h, -w = -j + 3*w - 19. Let v(z) = z**3 + 5*z**2 + 3*z - 1. Determine v(j). 8 Let c(u) be the third derivative of u**6/360 + u**5/60 + u**4/6 - u**3/6 + u**2. Let h(v) be the first derivative of c(v). Let f = 134 - 137. Give h(f). 7 Let n(v) = 3*v**3 - 27*v**2 - 40*v + 6. Let f(t) = -t**3 + 9*t**2 + 13*t - 2. Let q(z) = 7*f(z) + 2*n(z). Calculate q(10). 8 Let w(z) = 206*z + 4*z**2 + 0 + z**3 + 2 - 204*z. Determine w(-3). 5 Let x be (-5)/(-1 - -1 - 1). Let o(z) = -1441 - 1445 - z + 2888. Determine o(x). -3 Let k(i) = -i**3 - 12*i**2 - 11*i. Let a be k(-11). Let z(u) = u**3 + u**2 - u + 5. What is z(a)? 5 Let w(c) = -4*c + 0*c**3 + 5 + 0*c**3 + 4*c**2 + c**3. Let p(t) = -t**3 + 8*t**2 - t + 11. Let j be p(8). Let r be (-1 - j) + 1/(-1). Calculate w(r). 0 Let u(k) be the third derivative of 0 + 5/6*k**3 + 0*k - 3/8*k**4 - 3*k**2 + 1/60*k**5. Calculate u(6). -13 Let t be ((-4)/8)/(1/(-6)). Suppose -3*z + 5*g - 38 = -12, t*g = 5*z + 22. Let c(h) = 4*h - 3*h + h. Determine c(z). -4 Let t be (-40)/30 - 1/(-3). Let k(w) = 1. Let a(l) = l - 12. Let n(c) = t*a(c) - 3*k(c). Give n(0). 9 Let r(w) = -w**3 - 4*w**2 + 11*w - 2. Let y be r(-6). Let t(i) be the third derivative of 1/24*i**y + 3*i**2 - 1/6*i**3 + 0 + 0*i. Calculate t(-4). -5 Let f(u) = -u**3 - 2*u**2 - 2*u - 1. Let l(v) = -v**3 - 4*v**2 - 3*v - 2. Let w be l(-3). Calculate f(w). 3 Suppose 0 = 7*k - 2*k + 2*d - 15, -5*k + 3*d = -40. Suppose 2*u + u = 2*m - 2, 0 = -5*m + u + k. Let x(j) = -5*j**3. What is x(m)? -5 Let v(d) = -7*d + 1. Let c(j) = 3*j + j + 56 - 57 + j. Let b(h) = 8*c(h) + 5*v(h). Determine b(2). 7 Suppose -2*j + 4*w - 4 = -2, 5*w - 22 = -4*j. Let c(l) = l + 1. Determine c(j). 4 Suppose d = 5*d + 3*r - 35, 5*r = -3*d + 40. Let v = d + -1. Suppose 4*j = 3*h - v, -4 = -2*h + 2*j - 0. Let c(l) = l**3 - 5*l**2 + 6*l - 3. Give c(h). 5 Let m be 8/(-12) + 26/(-6). Let u(x) be the first derivative of x**3/3 + 5*x**2/2 + 6*x + 1. What is u(m)? 6 Let z(s) = -s**2 + s + 9. Let j(i) = -5. Let u(k) = -5*j(k) - 3*z(k). What is u(3)? 16 Let f(i) be the first derivative of -i**4/4 + 2*i**2 - 3*i - 14. What is f(2)? -3 Let w be 5/(-45)*9/(-6). Let l(b) be the second derivative of 3*b - 1/20*b**5 + w*b**3 - 1/12*b**4 + 0 - 9/2*b**2. Determine l(0). -9 Let h = -15 + 21. Let o = h + -3. Let y(z) = 2*z - 11. Let v(t) = -t + 6. Let a(b) = -5*v(b) - 3*y(b). Give a(o). 0 Let w(s) be the third derivative of s**7/1260 + s**6/240 - s**5/30 - s**4/12 - 3*s**2. Let t(c) be the second derivative of w(c). What is t(-3)? 5 Let b be (-4)/(-1 - -2 - 3). Let w(k) = -6*k - 2*k**3 + 8*k + 2 + 4*k**2 - 6*k. Calculate w(b). -6 Let q(y) be the first derivative of -11*y**2 + y + 6. Give q(1). -21 Suppose -65 = -8*u + 3*u. Let j = -12 + u. Let r(h) = -6*h**2 - 1 + 4*h**2 - 6*h**2. Determine r(j). -9 Let h(t) = t**3 + 12*t**2 + 10*t - 16. Let g be h(-11). Let y(d) be the second derivative of -d**3/6 - 3*d**2 - 3*d. Determine y(g). -1 Let z = 7 + -3. Let q(m) be the second derivative of -m**7/2520 + m**6/144 + m**5/120 + m**4/12 - m. Let j(y) be the third derivative of q(y). Calculate j(z). 5 Let y(a) = -a + 2. Suppose 3 = s - 0, -5*h - 4*s = -42. Let r = -3 + h. Give y(r). -1 Let o(x) = 86 + 2*x - 34 - 46. Give o(-8). -10 Let s(m) = 3*m +
{ "pile_set_name": "DM Mathematics" }
hat is the s'th term of 453, 442, 449, 480, 541, 638? s**3 + 3*s**2 - 27*s + 476 What is the n'th term of 452, 3654, 12224, 28808, 56052, 96602, 153104, 228204? 441*n**3 + 38*n**2 + n - 28 What is the h'th term of -802, -1530, -2264, -3004, -3750? -3*h**2 - 719*h - 80 What is the j'th term of -21097, -21158, -21221, -21286, -21353? -j**2 - 58*j - 21038 What is the m'th term of -128, -521, -1184, -2123, -3344, -4853, -6656? -m**3 - 129*m**2 + m + 1 What is the w'th term of -737, -647, -557, -467, -377? 90*w - 827 What is the k'th term of -126, -644, -1538, -2832, -4550, -6716, -9354? -4*k**3 - 164*k**2 + 2*k + 40 What is the i'th term of 1899, 3300, 4701, 6102? 1401*i + 498 What is the g'th term of -110931, -110912, -110873, -110808, -110711, -110576, -110397, -110168? g**3 + 4*g**2 - 110936 What is the k'th term of 27460, 27425, 27390? -35*k + 27495 What is the f'th term of 3081, 6124, 9129, 12096, 15025, 17916? -19*f**2 + 3100*f What is the d'th term of -1490, -1488, -1486, -1484, -1482? 2*d - 1492 What is the w'th term of 49484, 98924, 148366, 197810, 247256, 296704? w**2 + 49437*w + 46 What is the x'th term of 25, 18, -49, -206, -483, -910? -5*x**3 + 28*x + 2 What is the v'th term of -306, -1119, -2446, -4287? -257*v**2 - 42*v - 7 What is the t'th term of 1875, 730, -2369, -8400, -18341? -163*t**3 + t**2 - 7*t + 2044 What is the v'th term of 10567, 42310, 95227, 169318, 264583? 10587*v**2 - 18*v - 2 What is the f'th term of 44110, 88219, 132328? 44109*f + 1 What is the k'th term of -5, -37, -87, -149, -217, -285, -347, -397? k**3 - 15*k**2 + 6*k + 3 What is the y'th term of -623, -856, -1471, -2654, -4591, -7468, -11471? -31*y**3 - 5*y**2 - y - 586 What is the h'th term of 1031, 2075, 3141, 4241, 5387, 6591? 2*h**3 - h**2 + 1033*h - 3 What is the j'th term of 481, 1057, 1655, 2281, 2941, 3641, 4387, 5185? j**3 + 5*j**2 + 554*j - 79 What is the n'th term of -605, -734, -863, -992, -1121? -129*n - 476 What is the g'th term of 71726, 143465, 215204, 286943? 71739*g - 13 What is the g'th term of -92, -130, -170, -212, -256? -g**2 - 35*g - 56 What is the g'th term of -43812, -87600, -131374, -175128, -218856, -262552, -306210? g**3 + g**2 - 43798*g - 16 What is the y'th term of -94003, -94001, -93997, -93991, -93983? y**2 - y - 94003 What is the o'th term of -34693, -34689, -34683, -34675, -34665? o**2 + o - 34695 What is the f'th term of 153, 74, -63, -264, -535? -f**3 - 23*f**2 - 3*f + 180 What is the h'th term of 1123, 2242, 3361, 4480? 1119*h + 4 What is the o'th term of 301, 607, 903, 1189, 1465, 1731? -5*o**2 + 321*o - 15 What is the z'th term of 150, 103, 36, -45, -134, -225, -312, -389? z**3 - 16*z**2 - 6*z + 171 What is the u'th term of -198, -407, -574, -681, -710? 3*u**3 + 3*u**2 - 239*u + 35 What is the r'th term of 3629, 3809, 3989, 4169? 180*r + 3449 What is the u'th term of -9168, -9101, -8914, -8547, -7940, -7033, -5766? 10*u**3 - 3*u - 9175 What is the o'th term of -841, -1744, -2647, -3550? -903*o + 62 What is the y'th term of -61, -163, -313, -511, -757, -1051? -24*y**2 - 30*y - 7 What is the m'th term of -6396, -6335, -6158, -5805, -5216, -4331, -3090, -1433? 10*m**3 - 2*m**2 - 3*m - 6401 What is the b'th term of -977, -938, -835, -638, -317, 158? 5*b**3 + 2*b**2 - 2*b - 982 What is the f'th term of 18549, 37096, 55643, 74190? 18547*f + 2 What is the b'th term of 20582, 20604, 20626, 20648, 20670? 22*b + 20560 What is the y'th term of -10620, -21241, -31862, -42483, -53104? -10621*y + 1 What is the l'th term of -39, -137, -309, -567, -923, -1389, -1977? -2*l**3 - 25*l**2 - 9*l - 3 What is the s'th term of -427, -1706, -3851, -6874, -10787, -15602, -21331, -27986? -2*s**3 - 421*s**2 - 2*s - 2 What is the k'th term of 5168, 10330, 15492, 20654, 25816, 30978? 5162*k + 6 What is the v'th term of -1803, -2486, -3169? -683*v - 1120 What is the f'th term of -108944, -108949, -108956, -108965, -108976? -f**2 - 2*f - 108941 What is the f'th term of 96, 209, 376, 633, 1016, 1561, 2304, 3281? 6*f**3 - 9*f**2 + 98*f + 1 What is the b'th term of -186, -1395, -4672, -11055, -21582, -37291, -59220, -88407? -173*b**3 + 4*b**2 - 10*b - 7 What is the a'th term of 4, 121, 358, 751, 1336, 2149, 3226, 4603? 6*a**3 + 24*a**2 + 3*a - 29 What is the n'th term of -5196, -5206, -5216, -5226, -5236? -10*n - 5186 What is the j'th term of 30617, 61236, 91859, 122486, 153117, 183752, 214391? 2*j**2 + 30613*j + 2 What is the y'th term of -1889, -3754, -5619? -1865*y - 24 What is the j'th term of -3755, -7653, -11551, -15449, -19347, -23245? -3898*j + 143 What is the q'th term of 506121, 506119, 506107, 506079, 506029, 505951, 505839? -q**3 + q**2 + 2*q + 506119 What is the y'th term of -783, -800, -827, -864, -911, -968, -1035? -5*y**2 - 2*y - 776 What is the n'th term of 197, -317, -2237, -6265, -13103? -117*n**3 - n**2 + 308*n + 7 What is the z'th term of 282, 1160, 2622, 4668? 292*z**2 + 2*z - 12 What is the l'th term of 189704, 189702, 189698, 189692, 189684, 189674? -l**2 + l + 189704 What is the o'th term of -909894, -1819789, -2729684, -3639579, -4549474? -909895*o + 1 What is the n'th term of 5212, 5308, 5404, 5500? 96*n + 5116 What is the l'th term of 144, 87, 36, -9, -48? 3*l**2 - 66*l + 207 What is the r'th term of -56406, -56390, -56356, -56298, -56210, -56086? r**3 + 3*r**2 - 56410 What is the x'th term of -68064, -68062, -68060, -68058, -68056, -68054? 2*x - 68066 What is the n'th term of -2811, -2830, -2849? -19*n - 2792 What is the r'th term of 1704, 6834, 15386, 27360, 42756, 61574? 1711*r**2 - 3*r - 4 What is the h'th term of -63, -121, -177, -231, -283? h**2 - 61*h - 3 What is the p'th term of -41450, -165807, -373066, -663227, -1036290, -1492255, -2031122? -41451*p**2 - 4*p + 5 What is the v'th term of -1766, -1784, -1792, -1784, -1754? v**3 - v**2 - 22*v - 1744 What is the r'th term of -330, -417, -556, -753, -1014, -1345, -1752, -2241? -r**3 - 20*r**2 - 20*r - 289 What is the z'th term of 4642, 4607, 4534, 4411, 4226? -2*z**3 - 7*z**2 + 4651 What is the s'th term of -4351, -4361, -4383, -4423, -4487, -4581, -4711? -s**3 - 3*s - 4347 What is the t'th term of 100, 186, 302, 448, 624? 15*t**2 + 41*t + 44 What is the l'th term of 618, 1264, 1948, 2688, 3502? 3*l**3 + l**2 + 622*l - 8 What is the a'th term of 190, 423, 818, 1381, 2118, 3035, 4138, 5433? a**3 + 75*a**2 + a + 113 What is the y'th term of 353139, 353160, 353179, 353196, 353211, 353224, 353235? -y**2 + 24*y + 353116 What is the x'th term of 12, 209, 530, 969, 1520, 2177? -x**3 + 68*x**2 - 55 What is the o'th term of 549, 2208, 4989, 8898, 13941? o**3 + 555*o**2 - 13*o + 6 What is the g'th term of 224718, 449433, 674148? 224715*g + 3 What is the k'th term of 246, 772, 1674, 2976, 4702, 6876, 9522, 12664? 4*k**3 + 164*k**2 + 6*k + 72 What is the t'th term of -5467, -10930, -16395, -21862, -27331, -32802? -t**2 - 5460*t - 6 What is the u'th term of 22860, 22868, 22886, 22920, 22976, 23060? u**3 - u**2 + 4*u + 22856 What is the m'th term of -868, -1774, -2680, -3586, -4492, -5398? -906*m + 38 What is the b'th term of -179, -720, -1613, -2852, -4431, -6344, -8585? b**3 - 182*b**2 - 2*b + 4 What is the g'th term of -37, -209, -643, -1459, -2777, -4717? -20*g**3 - 11*g**2 + g - 7 What is the g'th term of -54, -19, 36, 117, 230, 381? g**3 + 4*g**2 + 16*g - 75 What is the w'th term of -18, -168, -604, -1476, -2934? -25*w**3 + 7*w**2 + 4*w - 4 What is the f'th term of -1407, -2129, -2851, -3573, -4295, -5017? -722*f - 685 What is the i'th term of 21, 67, 139, 231, 337, 451, 567? -i**3 + 19*i**2 - 4*i + 7 What is the l'th term of -347, -989, -1917, -3119, -4583? 2*l**3 - 155*l**2 - 191*l - 3 What is the g'th term of -1308, -1211, -1118, -1035, -968? -g**3 + 4*g**2 + 92*g - 1403 What is the y'th term of -578, -1056, -1534, -2012, -2490, -2968? -478*y - 100 What is the w'th term of -20990, -20977, -20962, -20945, -20926, -20905? w**2 + 10*w - 21001 What is the j'th term of -13455, -26912, -40369, -53826, -67283, -80740? -13457*j + 2 What is the z'th term of 334, 372, 436, 526, 642? 13*z**2 - z + 322 What is the s'th term of -10481, -10633, -10785, -10937? -152*s - 10329 What is the b'th term of 975455, 975445, 975429, 975407? -3*b**2 - b + 975459 What is the s'th term of -6713, -6694,
{ "pile_set_name": "DM Mathematics" }
of 25590 and 1610? 10 Calculate the highest common factor of 118 and 6807937784. 118 What is the greatest common factor of 7028071 and 163? 163 What is the greatest common divisor of 4119374 and 203? 7 Calculate the greatest common divisor of 669 and 26954233. 223 What is the greatest common divisor of 47996 and 350882? 142 Calculate the greatest common divisor of 1766189 and 1143. 127 Calculate the greatest common factor of 22368080 and 2744. 56 Calculate the greatest common factor of 38880 and 1489920. 480 What is the highest common divisor of 50 and 305036650? 50 Calculate the greatest common factor of 1716 and 2896476. 132 Calculate the greatest common factor of 20075 and 593. 1 Calculate the highest common divisor of 5440 and 1002864. 272 What is the greatest common factor of 108 and 9277404? 12 What is the greatest common divisor of 7596864 and 363968? 7744 What is the highest common divisor of 1092 and 5121298? 182 Calculate the highest common factor of 47290 and 15420. 10 Calculate the highest common divisor of 123593525 and 1975. 1975 What is the highest common divisor of 1540 and 1019401460? 1540 Calculate the greatest common divisor of 495648545 and 111160. 13895 What is the highest common factor of 54145 and 1095395? 4165 What is the highest common divisor of 488957 and 700? 7 Calculate the greatest common factor of 399651714 and 42. 42 Calculate the highest common divisor of 5793612 and 6578. 22 What is the greatest common divisor of 140401435 and 4260? 355 Calculate the greatest common divisor of 185 and 867211735. 185 Calculate the highest common divisor of 268730 and 49511. 77 Calculate the greatest common divisor of 37877527 and 23. 23 Calculate the greatest common divisor of 1434519 and 27873. 171 What is the highest common factor of 6061 and 660303523? 6061 Calculate the highest common factor of 68893593 and 222. 111 Calculate the greatest common divisor of 433764 and 8676. 36 What is the greatest common divisor of 1698255 and 30420? 585 Calculate the greatest common divisor of 1607897 and 615. 41 What is the highest common factor of 22 and 65832877? 11 Calculate the highest common divisor of 72344890 and 3910. 230 Calculate the greatest common factor of 101436 and 9432. 12 Calculate the highest common divisor of 37297 and 435955. 247 Calculate the highest common factor of 558625 and 236857. 4469 Calculate the highest common factor of 5082 and 433343834. 1694 Calculate the greatest common divisor of 672 and 724426752. 672 Calculate the greatest common divisor of 1515848660 and 40. 20 What is the highest common divisor of 124862400 and 217500? 8700 What is the greatest common divisor of 16877 and 47489467? 2411 Calculate the highest common divisor of 589 and 23294144. 31 What is the greatest common divisor of 42102 and 69624? 18 Calculate the greatest common divisor of 4031876 and 12. 4 Calculate the highest common divisor of 48 and 500139624. 24 Calculate the highest common factor of 1471635 and 528. 33 What is the highest common factor of 1237150 and 55900? 50 What is the greatest common divisor of 50085208 and 921? 307 What is the highest common divisor of 25805885 and 253? 23 What is the greatest common factor of 1635208 and 7544? 184 What is the greatest common divisor of 83 and 3279? 1 What is the greatest common divisor of 10723339 and 407? 11 Calculate the highest common factor of 4563 and 3479814. 351 What is the highest common factor of 519297704 and 1416? 472 Calculate the highest common factor of 27612864 and 7680. 192 Calculate the highest common factor of 2340 and 16876. 4 What is the highest common factor of 9049162 and 43738? 2302 What is the highest common factor of 168752 and 21492? 796 Calculate the highest common divisor of 48363590 and 7018. 638 Calculate the highest common factor of 13811049 and 63. 63 Calculate the highest common divisor of 775699 and 526105. 2447 Calculate the highest common divisor of 256832 and 1215939. 4013 Calculate the greatest common factor of 729 and 72. 9 Calculate the highest common divisor of 1099588 and 140476. 4844 What is the highest common factor of 121754 and 210039974? 7162 What is the greatest common factor of 81935984 and 3139? 43 Calculate the highest common divisor of 50409128 and 418. 418 What is the highest common factor of 390 and 18770910? 30 What is the greatest common factor of 17841966 and 670? 134 Calculate the highest common divisor of 4193054 and 86886. 3218 Calculate the greatest common divisor of 2240 and 150893. 1 Calculate the greatest common divisor of 28785487 and 87. 29 Calculate the highest common divisor of 5624 and 3576161. 703 Calculate the greatest common divisor of 2268 and 1943424. 252 Calculate the greatest common factor of 2072 and 230056. 8 Calculate the greatest common divisor of 995420 and 44020. 1420 What is the greatest common divisor of 245 and 88370520? 245 What is the highest common divisor of 4888451 and 3071? 83 Calculate the greatest common factor of 1599600 and 17670. 930 What is the greatest common divisor of 9045 and 1167750? 135 Calculate the greatest common factor of 72 and 298698. 6 What is the greatest common divisor of 1516100 and 230? 10 Calculate the highest common factor of 7314756 and 99584. 1556 Calculate the highest common factor of 4097 and 60062020. 4097 Calculate the highest common divisor of 797504 and 204. 68 What is the highest common factor of 180 and 579815? 5 Calculate the highest common factor of 35131 and 588971. 43 Calculate the highest common factor of 65900 and 376. 4 Calculate the greatest common factor of 2702390192 and 16. 16 What is the highest common factor of 60313556 and 7484? 7484 What is the highest common factor of 2904 and 66300168? 264 What is the highest common factor of 6556197 and 456? 57 What is the greatest common divisor of 452780 and 2720? 20 Calculate the highest common divisor of 1685222 and 36146. 682 Calculate the greatest common factor of 100 and 21319975. 25 Calculate the highest common factor of 994906 and 3608. 902 Calculate the highest common factor of 2458565 and 268. 67 Calculate the greatest common factor of 956 and 82545581. 239 What is the highest common divisor of 1522880 and 110? 10 Calculate the greatest common divisor of 8724390 and 2768. 346 Calculate the highest common divisor of 4305097 and 5024. 157 Calculate the highest common divisor of 27456 and 5564988. 1716 What is the highest common divisor of 5002246 and 8856? 82 What is the greatest common factor of 168070 and 2728810? 490 What is the greatest common factor of 3699160 and 40? 40 Calculate the highest common factor of 68369952 and 96. 96 Calculate the highest common factor of 184 and 5725758. 46 Calculate the greatest common factor of 8864 and 673941. 277 Calculate the highest common factor of 40 and 145891864. 8 What is the highest common factor of 1018775496 and 48? 24 Calculate the highest common divisor of 463078 and 2574. 22 Calculate the greatest common divisor of 119 and 19554692. 17 What is the highest common factor of 21610798 and 10622? 226 What is the highest common factor of 214769665 and 110? 55 What is the highest common divisor of 1372 and 8292? 4 Calculate the greatest common factor of 9385 and 52520337. 1877 Calculate the greatest common factor of 124535489 and 68. 17 What is the greatest common divisor of 1368 and 2253609? 171 Calculate the greatest common divisor of 1178609622 and 2089. 2089 Calculate the highest common factor of 133 and 16305306. 19 Calculate the highest common factor of 2410184 and 260743. 1351 Calculate the greatest common divisor of 8316 and 135. 27 Calculate the highest common factor of 3505 and 8910. 5 Calculate the highest common divisor of 6258 and 722820. 42 What is the highest common divisor of 3067107 and 5553? 1851 What is the greatest common divisor of 144 and 43072272? 144 Calculate the highest common factor of 15669528 and 171. 57 Calculate the greatest common divisor of 20160 and 1612256. 32 Calculate the greatest common factor of 3640056 and 64. 8 What is the greatest common factor of 78837099 and 2090? 209 Calculate the greatest common factor of 138006 and 17872474. 1394 What is the greatest common divisor of 2404 and 131890051? 601 Calculate the
{ "pile_set_name": "DM Mathematics" }
8*h**3 + h. Calculate the remainder when x(3) is divided by 25. 24 Suppose 2*i - 64 = 36. Calculate the remainder when 598 is divided by i. 48 Let x = 2862 + -2150. What is the remainder when x is divided by 235? 7 Let f(y) = -y**3 - 5*y**2 + y - 3. Let g be f(-3). Calculate the remainder when 34 is divided by -4 - 1*34*12/g. 8 Let d = 925 + -895. Suppose -2*f = 2*f + 4. Let p = f - -89. Calculate the remainder when p is divided by d. 28 Suppose 3*h - 4 = 2. Let l(n) = 4*n**3 - 3*n**2 + 2*n + 1. Let y be l(h). Suppose 5*v = 15 + y. What is the remainder when 30 is divided by v? 6 Let h(x) = -9*x**2 - x - x + x**3 + 17*x**2 - 3 + 8*x. Let c be h(-7). Suppose 0 = -c*b + 27 + 73. What is the remainder when b is divided by 13? 12 Let f(v) = -2*v**3 - v**2 - 3*v + 12. What is the remainder when 19 is divided by f(0)? 7 Let n = 1835 + -158. What is the remainder when n is divided by 112? 109 Let j(l) = l**3 + 6*l**2 - 3. Suppose -3*x = 3*p + 1 - 4, -4*x = 2*p - 10. What is the remainder when 12528/180 + (-12)/20 is divided by j(p)? 21 Calculate the remainder when ((-9018)/18)/((-1 - 2) + 2) is divided by 72. 69 Let h(q) = -2*q**2 + 28*q - 13. Let j(g) = g + 9. What is the remainder when h(12) is divided by j(0)? 8 Let v be ((-52)/12)/(4/12). Let s = v + 37. What is the remainder when 94 is divided by s? 22 Suppose 5*p + 0*p = 20. Suppose 4*d + p*g - 3*g = 85, -125 = -5*d + 5*g. What is the remainder when 62 is divided by d? 18 Suppose -23 = -2*w + 4*h + 15, -4*h = 3*w - 67. What is the remainder when w is divided by 5? 1 Calculate the remainder when 0/(-1) + 46 + (37 - 41) is divided by 19. 4 Let f be -3*(40/(-12) - 0). Let y be 7*-11 - (-7 + f). Let s = 26 - y. Calculate the remainder when s is divided by 27. 25 Let s = 246 - -22. Suppose i = -i + s. Let g = 84 - 57. Calculate the remainder when i is divided by g. 26 Suppose 0 = r - 0 - 60. Let q = r - 33. Calculate the remainder when q is divided by 16. 11 Let d be 29/(1/20 - 1/(-5)). Let q = -65 + d. Suppose -5*a + 91 = 26. Calculate the remainder when q is divided by a. 12 Let o = -811 - -865. Let i(a) = 3*a**2 + 5*a + 2. What is the remainder when o is divided by i(-3)? 12 Suppose -m + 3*z = -18, -5*m + z = -7 - 55. What is the remainder when 266/8*-4*6/(-14) is divided by m? 9 Suppose 4*t = 4*w + 24, 2*w - t + 12 = 2*t. Let h = w + 6. Suppose 5*m - 120 = d, -m + 45 = -h*m + 4*d. What is the remainder when m is divided by 14? 11 Suppose -20*x = 6*x - 2132. Calculate the remainder when x is divided by 31. 20 Let b = -1084 + 1340. Calculate the remainder when b is divided by 10. 6 Let a = -8922 + 8944. Suppose 2*f - 5*f - 5*c = 1, -4*c - 44 = -3*f. Calculate the remainder when a is divided by f. 6 Suppose 4*z - 48 = -0*z. Suppose h - 3*v + v - 5 = 0, -2*h + z = -5*v. Calculate the remainder when 39 is divided by -1 - (h - (13 + -1)). 9 Let x(p) be the third derivative of -p**6/120 - 3*p**5/20 - 3*p**4/8 - p**3 - 15*p**2. Calculate the remainder when 4*1*(0 - -1) is divided by x(-8). 0 Let u = 0 - 5. Let x = u - -17. Let i = 66 + -31. Calculate the remainder when i is divided by x. 11 Suppose r - 5*j = -2*j + 2, 0 = -3*r + 2*j + 13. What is the remainder when 39 is divided by r? 4 Suppose x - 375 = -2*x. Suppose 0 = 4*z + 25 - x. Calculate the remainder when z is divided by -14*1/(-2)*(-6)/(-3). 11 Suppose 0 = x + m + 4*m - 79, -4*x = m - 259. What is the remainder when x is divided by 15? 4 Let w(o) = o**2 + 3*o + 4. Let s(m) = m + 5. Let q be s(-7). Calculate the remainder when 6 is divided by w(q). 0 Let t(i) = 8*i**2 + 3*i + 3. Calculate the remainder when 14 is divided by t(-1). 6 Let q = -1894 + 1941. What is the remainder when 153 is divided by q? 12 Let r(k) = 2*k**2 - 16*k - 3. What is the remainder when r(-11) is divided by 19? 16 Let p = -27 - -11. Let b(n) = -6*n**2 - 15*n + n**3 + 22 + 14*n**2 + 7*n**2. Calculate the remainder when 22 is divided by b(p). 4 Suppose -9*o + 9 = -10*o. Let k(i) = 15*i**2 - 1. What is the remainder when k(1) is divided by (o/6)/(3/(-16))? 6 Let v = 0 + 0. Suppose g + 0*h = h + 3, v = 3*h - 12. Suppose -6 = -2*d + 20. What is the remainder when d is divided by g? 6 Suppose -8 = -4*z + 2*z, -z - 206 = -2*m. Calculate the remainder when m is divided by 39. 27 Suppose -2*w - 2*k + 4 = 0, -6 = -w - 4*k + 2. Suppose w = 4*i + 8 - 40. What is the remainder when i is divided by 3? 2 Suppose 0 = -4*f - f + 45. What is the remainder when (-1*(-2)/(-4))/((-14)/644) is divided by f? 5 Let q(y) = 2*y**2 + 11*y - 4. Let d be q(-8). Suppose 0 = 6*a - 9*a + d. Calculate the remainder when (-6)/(-4)*(-22)/(-1) is divided by a. 9 Suppose 2*x - 2 = 2. Suppose -x*c + 5 = -3. What is the remainder when 20 is divided by 4/c - -14 - 4? 9 Let m = -11 + 24. Suppose -2*r - 5*q - 12 - 10 = 0, 0 = 5*q. Let l = r + m. What is the remainder when 7 is divided by l? 1 Let n = 92 + -97. Calculate the remainder when 27 is divided by 3 - (-10 + n + 3). 12 Suppose -348 = -7*s - 229. Calculate the remainder when 78 is divided by s. 10 Suppose -15*c + 10*c - 35 = 0. Let j(p) = p**2 + 8*p + 1. Let r be j(c). Let y(o) = -2*o**2 - 15*o - 15. What is the remainder when 3 is divided by y(r)? 0 Let v = -239 - -296. What is the remainder when 454 is divided by v? 55 Suppose 4*j + 5*x = 7, j - 18 = -x + 3*x. What is the remainder when 36 is divided by j? 4 Suppose 3*v = -0 + 9, -4*y = -2*v - 178. What is the remainder when 229 is divided by y? 45 Let j(g) = -337*g - 3026. Suppose -n + 0*n - w = -21, 3*w = -5*n + 97. Suppose -2*c = h - 7, -c + n = 3*c + h. What is the remainder when j(-9) is divided by c? 2 Let k = 7 - 2. Suppose -k*l + 5*c = -80, -4*c + 9 = 2*l + 1. What is the remainder when ((-6)/(-8))/((-4)/(-240)) is divided by l? 9 Let b be 13*6 + 0/(-8 + 4). Suppose 0*w + 4*f + b = 2*w, -2*w + 3*f + 80 = 0. What is the remainder when w is divided by 22? 21 Suppose -j = -2*b - 0*b - 83, 5*j = 5*b + 390. Suppose 0 = 4*m + 1 - j. Suppose -3*k = m - 117. What is the remainder when k is divided by 12? 9 Let m = 479 - -538. Calculate the remainder when m is divided by 6. 3 Let u be -1 - (-4)/4 - (-112)/(-4). Let v = 31 + u. Let x = -7 + 10. What is the remainder when x is divided by v? 0 Let y(p) = -p. Let o be y(-3). Let c be (-4 - (-1 - o))/(-3). Suppose c = -l + 5 - 1. What is the remainder when 9 is divided by l? 1 Let s(n) = -4*n**2 - 1 - n**2 + 4*n**2 + 10*n - 9*n - n**3. What is the remainder when 48 is divided by s(-3)? 6 Let l(m) = -156*m**3 + m**2 - 2*m - 1. What is the remainder when 1579 is divided by l(-1)? 157 Let n = -453 + 696. Calculate the remainder when n is divided by 40. 3 Suppose 0 = 7*s - 3*s - 56. Suppose -3*i + 109 = -s. What is the remainder when i is divided by 22? 19 Let o = -30 - -81. Let g be -2 - -2 - (4 + -3). What is the remainder when o is divided by 7*4 + g/1? 24 Let n(x) = -3*x + 2*x**3 - x**2 + x - 2*x. Suppose -5 = -5*r, -8*r + 3 = -s - 3*r. What is the remainder when 12 is divided by n(s)? 0 Suppose -17*y + 123 = -81. Suppose -15*b = -y - 123. Let h(j) = -j**2 - 6*j + 5. What is the remainder when b is divided by h(-6)? 4 What is the remainder when (158/2)/((-3 - 5)/(-8)) is divided by 27? 25 Suppose 0*r = -8*r + 160. Let p be 26/(-5) + 4/r. What is the remainder when (-2)/(-1)*(p - -21) is divided by 12? 8 Let o(n) = 4 - 1 + n + 3. Let w(r) = 5*r + 63. Let v be w(-11). What is the remainder when 25 is divided by o(v)? 11 Let a = 1490 - 1473. Suppose -z = 5*x - 231, 3*x = -z - 0*z + 137. What is the remainder when x is divided by a? 13 Let t = -7 + 15. Let h = -452 - -474. What is the remainder when h is divided by t? 6 Let w = -97 + 333. Suppose -7*p - w = -9*p. Calculate the remainder when p is divided by 30. 28 Let b(o) = 2*o**2 - 10*o - 13. Let f be b(8). Suppose -4*p - 3*t + f = -113, 5*p - t = 185. Calculate the remainder when 70 is divided by p. 33 Let h(o) = 4*o**2 - 120*o + 472. Calculate the remainder when h(4) is divided by 34. 22 Let v = 95 + -19. Calculate the remainder when v is divided by 6. 4 Suppose d - 28 = -3*d. Let t(m) = m**3 - 7*m**2 + 10*m - 14. Let v be t(6). Suppose -v*k + 162 = -k. Calculate the remainder when k is divided by d. 4 Let o(h) = -1 + h**2 - 13*h - h**3 + 13*h. Let w be o(1). What is the remainder when 33 is divided by
{ "pile_set_name": "DM Mathematics" }
s prob of picking 2 e, 1 m, and 1 f? 1/35 Three letters picked without replacement from xcxmgc. What is prob of picking 1 c, 1 m, and 1 x? 1/5 Calculate prob of picking 1 o and 2 n when three letters picked without replacement from doknwwnowoonwo. 15/364 Two letters picked without replacement from {s: 2, d: 1, f: 1, t: 1, i: 1, c: 1}. Give prob of picking 1 t and 1 c. 1/21 Four letters picked without replacement from rrnrnrrrrrrnrrr. Give prob of picking 1 n and 3 r. 44/91 Calculate prob of picking 1 i, 2 e, and 1 v when four letters picked without replacement from iiivvevpivvvvvev. 9/455 Four letters picked without replacement from {n: 1, e: 11, f: 3, t: 2, q: 2}. What is prob of picking 2 q, 1 e, and 1 f? 11/1292 Four letters picked without replacement from {i: 3, u: 17}. Give prob of picking 3 i and 1 u. 1/285 What is prob of picking 3 x and 1 s when four letters picked without replacement from xssssssssxsssssssss? 0 Four letters picked without replacement from auebuauu. Give prob of picking 2 a, 1 b, and 1 u. 2/35 Two letters picked without replacement from vssvpkyyc. What is prob of picking 1 c and 1 s? 1/18 What is prob of picking 2 m when two letters picked without replacement from mmmm? 1 Calculate prob of picking 3 d and 1 p when four letters picked without replacement from {p: 3, d: 5}. 3/7 Calculate prob of picking 1 b and 2 h when three letters picked without replacement from wbh. 0 Calculate prob of picking 2 x and 2 o when four letters picked without replacement from coccxxocc. 1/126 Two letters picked without replacement from eubnm. What is prob of picking 1 n and 1 b? 1/10 Calculate prob of picking 2 q when two letters picked without replacement from ovfqmqqq. 3/14 Four letters picked without replacement from wwww. Give prob of picking 4 w. 1 What is prob of picking 2 b when two letters picked without replacement from ubdwbra? 1/21 Two letters picked without replacement from {t: 5, a: 14}. Give prob of picking 1 a and 1 t. 70/171 Calculate prob of picking 1 g and 2 p when three letters picked without replacement from {g: 3, z: 7, p: 2}. 3/220 Two letters picked without replacement from quirqgc. Give prob of picking 1 i and 1 g. 1/21 Calculate prob of picking 2 x when two letters picked without replacement from xxxxlllxxxxlxl. 36/91 Two letters picked without replacement from bkbvbjvysyjbbjb. What is prob of picking 1 k and 1 b? 2/35 Two letters picked without replacement from qxn. What is prob of picking 1 x and 1 q? 1/3 Two letters picked without replacement from {s: 11, u: 3}. What is prob of picking 2 s? 55/91 Two letters picked without replacement from {c: 3, q: 11, z: 4}. What is prob of picking 2 q? 55/153 Calculate prob of picking 1 i, 2 z, and 1 j when four letters picked without replacement from ziijzzjzz. 20/63 Three letters picked without replacement from {n: 11, l: 4, e: 3}. Give prob of picking 1 l and 2 e. 1/68 Calculate prob of picking 4 c when four letters picked without replacement from iccccicc. 3/14 Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {j: 1, b: 2, c: 1, p: 2, f: 2}. 1/14 Two letters picked without replacement from {m: 2, w: 2, e: 1, c: 1}. What is prob of picking 1 m and 1 w? 4/15 What is prob of picking 2 o and 1 u when three letters picked without replacement from rukrurruurzzorrfrozz? 1/285 What is prob of picking 4 t when four letters picked without replacement from {v: 3, t: 5}? 1/14 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zzocsc. 2/15 Calculate prob of picking 1 r and 3 d when four letters picked without replacement from rqdqrrrqdddddrqdrrdq. 392/4845 Two letters picked without replacement from xxkmxmmxxk. What is prob of picking 2 x? 2/9 What is prob of picking 1 p and 1 k when two letters picked without replacement from {k: 5, p: 3}? 15/28 Calculate prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from ddddyytyd. 5/28 What is prob of picking 3 f and 1 z when four letters picked without replacement from {f: 6, z: 7}? 28/143 What is prob of picking 3 s when three letters picked without replacement from {s: 5}? 1 Two letters picked without replacement from okko. Give prob of picking 1 o and 1 k. 2/3 What is prob of picking 1 z and 1 t when two letters picked without replacement from kssmjszktkkkt? 1/39 What is prob of picking 2 n when two letters picked without replacement from {t: 3, n: 4, c: 2}? 1/6 What is prob of picking 1 s, 1 e, and 1 w when three letters picked without replacement from eswpplqw? 1/28 What is prob of picking 3 h and 1 q when four letters picked without replacement from qhqqhhqhhqqhqhhh? 21/65 Two letters picked without replacement from wwu. What is prob of picking 2 w? 1/3 Calculate prob of picking 1 p, 1 o, and 2 r when four letters picked without replacement from trrrprrrorrprrtr. 11/182 Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {g: 1, p: 1, e: 2, a: 2, b: 1, v: 1}. 1/56 What is prob of picking 3 v when three letters picked without replacement from {y: 8, v: 3, d: 7}? 1/816 Four letters picked without replacement from kxxxxvvxxuxkxxxxxu. What is prob of picking 2 u and 2 x? 11/510 Calculate prob of picking 2 e and 2 n when four letters picked without replacement from {n: 2, r: 1, y: 2, e: 2, s: 1}. 1/70 What is prob of picking 1 b and 3 o when four letters picked without replacement from {o: 7, b: 9}? 9/52 What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 2, c: 1, z: 1, e: 1}? 1/5 Three letters picked without replacement from {z: 2, a: 6, g: 3, c: 8}. Give prob of picking 2 a and 1 g. 15/323 What is prob of picking 2 d and 2 m when four letters picked without replacement from mtgmtggdmtgdggggmsg? 1/646 Four letters picked without replacement from yratyhdardtt. Give prob of picking 1 y, 1 h, 1 d, and 1 a. 8/495 What is prob of picking 1 v, 1 c, and 1 i when three letters picked without replacement from {v: 3, i: 1, c: 3, l: 3, b: 1}? 3/55 Two letters picked without replacement from {r: 1, b: 1, f: 1, v: 2}. Give prob of picking 1 b and 1 r. 1/10 Two letters picked without replacement from aqaqaqqqaqqa. What is prob of picking 1 a and 1 q? 35/66 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 2, w: 1, v: 1}. 1/3 Three letters picked without replacement from pykp. Give prob of picking 1 k, 1 p, and 1 y. 1/2 What is prob of picking 1 q and 1 o when two letters picked without replacement from {o: 3, q: 3}? 3/5 Two letters picked without replacement from uqqhttqhq. What is prob of picking 2 t? 1/36 Calculate prob of picking 1 z and 1 t when two letters picked without replacement from jttzyy. 2/15 Calculate prob of picking 1 b, 1 n, and 1 a when three letters picked without replacement from puannaananppnauabu. 5/136 Calculate prob of picking 3 d when three letters picked without replacement from {d: 9}. 1 What is prob of picking 1 s and 1 u when two letters picked without replacement from {d: 1, s: 1, u: 1, r: 2, c: 4}? 1/36 Two letters picked without replacement from {b: 5, j: 1, v: 1, r: 1, g: 2, o: 3}. Give prob of picking 1 g and 1 r. 1/39 What is prob of picking 2 x when two letters picked without replacement from {e: 10, x: 2, j: 2}? 1/91 Four letters picked without replacement from yynnnxnnyzi. Give prob of picking 1 z, 1 i, 1 n, and 1 y. 1/22 Three letters picked without replacement from {v: 4}. Give prob of picking 3 v. 1 Four letters picked without replacement from frfrrfarrfafrrf. Give prob of picking 2 f and 2 r. 3/13 Two letters picked without replacement from wwxxwvweexxxyxxy. What is prob of picking 1 w and 1 e? 1/15 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 1, o: 5, t: 2, k: 6, q: 1}. 1/21 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {n: 3, f: 2}. 3/5 What is prob of picking 4 r when four letters picked without replacement from rrrtrryutrrzur? 10/143 What is prob of picking 3 p when three letters picked without replacement from uuppuuuuupp? 4/165 Two letters picked without replacement from {y: 8, b: 1, g: 4}. What is prob o
{ "pile_set_name": "DM Mathematics" }
ors of 1590. 2, 3, 5, 53 List the prime factors of 341. 11, 31 What are the prime factors of 4634? 2, 7, 331 What are the prime factors of 14299? 79, 181 List the prime factors of 2586. 2, 3, 431 What are the prime factors of 741? 3, 13, 19 What are the prime factors of 4255? 5, 23, 37 List the prime factors of 17246. 2, 8623 What are the prime factors of 956? 2, 239 What are the prime factors of 57288? 2, 3, 7, 11, 31 List the prime factors of 2351. 2351 What are the prime factors of 1495? 5, 13, 23 List the prime factors of 2183. 37, 59 What are the prime factors of 35869? 35869 What are the prime factors of 6189? 3, 2063 List the prime factors of 10570. 2, 5, 7, 151 What are the prime factors of 7841? 7841 List the prime factors of 7561. 7561 List the prime factors of 8972. 2, 2243 What are the prime factors of 12170? 2, 5, 1217 What are the prime factors of 984? 2, 3, 41 List the prime factors of 3628. 2, 907 What are the prime factors of 2781? 3, 103 List the prime factors of 413. 7, 59 List the prime factors of 609. 3, 7, 29 What are the prime factors of 68928? 2, 3, 359 What are the prime factors of 3029? 13, 233 What are the prime factors of 5504? 2, 43 What are the prime factors of 450? 2, 3, 5 List the prime factors of 8444. 2, 2111 List the prime factors of 77213. 77213 What are the prime factors of 374? 2, 11, 17 List the prime factors of 601. 601 List the prime factors of 17172. 2, 3, 53 What are the prime factors of 1173? 3, 17, 23 What are the prime factors of 491? 491 What are the prime factors of 147? 3, 7 List the prime factors of 28705. 5, 5741 List the prime factors of 471. 3, 157 List the prime factors of 723. 3, 241 What are the prime factors of 2584? 2, 17, 19 What are the prime factors of 4842? 2, 3, 269 List the prime factors of 42. 2, 3, 7 List the prime factors of 213. 3, 71 List the prime factors of 8881. 83, 107 List the prime factors of 9567. 3, 1063 What are the prime factors of 493? 17, 29 What are the prime factors of 13093? 13093 What are the prime factors of 36330? 2, 3, 5, 7, 173 List the prime factors of 22984. 2, 13, 17 List the prime factors of 15518. 2, 7759 List the prime factors of 332. 2, 83 What are the prime factors of 484? 2, 11 List the prime factors of 155589. 3, 7, 31, 239 List the prime factors of 3802. 2, 1901 List the prime factors of 41033. 37, 1109 List the prime factors of 29373. 3, 9791 What are the prime factors of 153956? 2, 11, 3499 What are the prime factors of 14025? 3, 5, 11, 17 List the prime factors of 62756. 2, 29, 541 List the prime factors of 1865. 5, 373 What are the prime factors of 56667? 3, 13, 1453 What are the prime factors of 99965? 5, 19993 What are the prime factors of 9970? 2, 5, 997 What are the prime factors of 3871? 7, 79 What are the prime factors of 5608? 2, 701 What are the prime factors of 2717? 11, 13, 19 List the prime factors of 5606. 2, 2803 What are the prime factors of 145899? 3, 13, 29, 43 List the prime factors of 3649. 41, 89 List the prime factors of 7710. 2, 3, 5, 257 List the prime factors of 154869. 3, 11, 13, 19 What are the prime factors of 111? 3, 37 List the prime factors of 6231. 3, 31, 67 List the prime factors of 1663. 1663 List the prime factors of 34146. 2, 3, 7, 271 What are the prime factors of 2153? 2153 What are the prime factors of 13828? 2, 3457 List the prime factors of 22500. 2, 3, 5 List the prime factors of 949. 13, 73 What are the prime factors of 974? 2, 487 What are the prime factors of 83591? 83591 What are the prime factors of 2732? 2, 683 List the prime factors of 1016. 2, 127 What are the prime factors of 1285? 5, 257 What are the prime factors of 227? 227 List the prime factors of 74309. 19, 3911 List the prime factors of 2188. 2, 547 What are the prime factors of 3576? 2, 3, 149 List the prime factors of 58. 2, 29 List the prime factors of 291. 3, 97 List the prime factors of 8473. 37, 229 What are the prime factors of 2084? 2, 521 List the prime factors of 5830. 2, 5, 11, 53 What are the prime factors of 12902? 2, 6451 List the prime factors of 11363. 11, 1033 List the prime factors of 7145. 5, 1429 List the prime factors of 13582. 2, 6791 What are the prime factors of 99999? 3, 41, 271 What are the prime factors of 1436? 2, 359 What are the prime factors of 31162? 2, 15581 What are the prime factors of 2617? 2617 List the prime factors of 1184. 2, 37 List the prime factors of 110389. 59, 1871 What are the prime factors of 3559? 3559 List the prime factors of 5063. 61, 83 List the prime factors of 1620. 2, 3, 5 What are the prime factors of 61555? 5, 13, 947 List the prime factors of 18009. 3, 23, 29 What are the prime factors of 8200? 2, 5, 41 What are the prime factors of 5034? 2, 3, 839 What are the prime factors of 52646? 2, 11, 2393 What are the prime factors of 22099? 7, 11, 41 List the prime factors of 16361. 16361 List the prime factors of 68766. 2, 3, 73, 157 List the prime factors of 1790. 2, 5, 179 List the prime factors of 57169. 7, 8167 List the prime factors of 14852. 2, 47, 79 What are the prime factors of 63061? 19, 3319 List the prime factors of 5930. 2, 5, 593 List the prime factors of 22348. 2, 37, 151 What are the prime factors of 8284? 2, 19, 109 What are the prime factors of 87951? 3, 19, 1543 What are the prime factors of 849? 3, 283 What are the prime factors of 24123? 3, 11, 17, 43 What are the prime factors of 1856? 2, 29 What are the prime factors of 495? 3, 5, 11 What are the prime factors of 22817? 22817 What are the prime factors of 3731? 7, 13, 41 What are the prime factors of 61013? 17, 37, 97 List the prime factors of 15314. 2, 13, 19, 31 List the prime factors of 26091. 3, 13, 223 List the prime factors of 407. 11, 37 What are the prime factors of 146119? 23, 6353 List the prime factors of 2553. 3, 23, 37 What are the prime factors of 568? 2, 71 List the prime factors of 29155. 5, 7, 17 List the prime factors of 18301. 18301 List the prime factors of 43541. 43541 What are the prime factors of 1226? 2, 613 List the prime factors of 2647. 2647 What are the prime factors of 82? 2, 41 List the prime factors of 135410. 2, 5, 11, 1231 What are the prime factors of 161488? 2, 10093 What are the prime factors of 29737? 131, 227 What are the prime factors of 957? 3, 11, 29 What are the prime factors of 1620? 2, 3, 5 List the prime factors of 1795. 5, 359 What are the prime factors of 6255? 3, 5, 139 List the prime factors of 108. 2, 3 List the prime factors of 447. 3, 149 What are the prime factors of 603? 3, 67 What are the prime factors of 53579? 131, 409 List the prime factors of 880. 2, 5, 11 What are the prime factors of 472? 2, 59 What are the prime factors of 73467? 3, 907 List the prime factors of 24690. 2, 3, 5, 823 What are the prime factors of 25478? 2, 12739 List the prime factors of 1499. 1499 What are the prime factors of 20205? 3, 5, 449 List the prime factors of 34159. 34159 List the prime factors of 5487. 3, 31, 59 List the prime factors of 381. 3, 127 What are the prime factors of 98388? 2, 3, 911 List the prime factors of 11744. 2, 367 List the prime factors of 332. 2, 83 List the prime factors of 151538. 2, 17, 4457 What are the prime factors of 115? 5, 23 What are the prime factors of 41279? 7, 5897 List the prime factors of 263. 263 List the prime factors of 10114. 2, 13, 389 List the prime factors of 3531. 3, 11, 107 List the prime factors of 749. 7, 107 What are the prime factors of 5585? 5, 1117 List the prime factors of 40995. 3, 5, 911 List the prime factors of 76165. 5, 15233 What are the prime factors of 1198? 2, 599 What are the prime factors of 1670? 2, 5, 167 What are the prime factors of 57195? 3, 5, 31, 41 List the prime factors of 10998. 2, 3, 13, 47 List the prime factors of 1408. 2, 11 What are the prime factors of 30657? 3, 11, 929 What are the prime factors of 3263? 13, 251 What are the prime factors of 246? 2, 3, 41 List the prime factors of 5243. 7, 107 What are the prime factors of 3524? 2, 881 List the prime factors of 9026. 2, 4513 What are the prime factors of 226? 2, 113 List the prime factors of 10641. 3, 3547 List the prime factors of 2100. 2, 3, 5, 7 List the prime factors of 1738. 2, 11, 79 List the prime factors of 613. 613 List the prime f
{ "pile_set_name": "DM Mathematics" }
0*s**3 - 5*s**3 + 56*s wrt s? -390*s Let t(u) be the third derivative of 0*u + 0*u**6 - 1/30*u**5 - 1/105*u**7 + 0*u**4 + u**2 + 0 + 0*u**3. Find the third derivative of t(r) wrt r. -48*r Let a(s) be the first derivative of -s**6/180 - s**5/120 - s**3 + 1. Let i(b) be the third derivative of a(b). What is the second derivative of i(j) wrt j? -4 Let w(g) = g**2 + g - 4. Let m be w(-3). Let q(h) be the first derivative of 1 + m + h**3 - 2*h + 0*h. Differentiate q(l) wrt l. 6*l Let v(q) be the second derivative of q**6/6 - q**4/6 - 3*q. Find the third derivative of v(c) wrt c. 120*c Suppose 0 = -p + 3*p. Suppose w = -3*a + 36, -4*a + p*w = 3*w - 43. What is the first derivative of -y - 10 + a + y + y**4 wrt y? 4*y**3 Let n(j) be the first derivative of 1/6*j**3 + 2 - j**2 - 2*j. Let m(h) be the first derivative of n(h). Differentiate m(c) wrt c. 1 Let o(h) = h**2 - 8*h + 2. Let v be o(8). Find the first derivative of 3 - 2*l + 2*l + 9*l**v - 2*l**2 wrt l. 14*l What is the second derivative of 11*d**5 - 1703*d + 5*d**5 + 1735*d wrt d? 320*d**3 Find the third derivative of 728*b - 728*b - 19*b**2 - 9*b**6 wrt b. -1080*b**3 Let q(s) be the first derivative of -8/3*s**3 - 9 - 9*s + 0*s**2. What is the first derivative of q(j) wrt j? -16*j Let q(v) be the third derivative of -1/12*v**4 + 0*v**6 + 0*v**7 + 1/336*v**8 + 3*v**2 + 0*v**3 + 0 + 0*v + 0*v**5. Find the second derivative of q(p) wrt p. 20*p**3 Let z = -28 + 40. Find the second derivative of 3*k**3 + 0*k - z*k - 11*k + 32*k wrt k. 18*k Suppose a + 6 = 4*a. What is the third derivative of 2*z**4 - 4*z**4 + 3*z**4 - 4*z**a wrt z? 24*z Let v(h) be the third derivative of h**7/5040 - h**6/720 + h**5/30 - h**2. Let j(n) be the third derivative of v(n). Differentiate j(l) wrt l. 1 Let f(b) = -3*b + 2. Suppose -5*s = -t + 6, 6*s = s + 5*t - 10. Let h(z) = z**2 + z - 1. Let i(m) = s*f(m) - 2*h(m). Find the second derivative of i(c) wrt c. -4 Let r(g) be the first derivative of -1/3*g**3 + 3*g + 0*g**2 + 2. Find the first derivative of r(h) wrt h. -2*h Let m(z) be the second derivative of 7*z**6/15 - 9*z**2 + 15*z. What is the first derivative of m(x) wrt x? 56*x**3 Let r(d) be the second derivative of -4*d**6/15 + 5*d**4/4 + d. Find the third derivative of r(s) wrt s. -192*s Let g(w) be the first derivative of 43*w**3/3 - 15*w**2/2 + 19. Find the second derivative of g(z) wrt z. 86 Suppose -2*k - 1 = 7. Let p be (8/6)/(k/(-6)). What is the third derivative of 5*q**5 + 0*q + 0*q**2 + 0*q + q**p wrt q? 300*q**2 Let y = 5 + -2. Let v = 0 - -2. Find the third derivative of -3*t**3 + v*t**3 + y*t**3 + t**2 wrt t. 12 Let k be (41 - 0) + 3*-1. Suppose -3*t + 4*z + k = 0, 0 = -4*t - 3*z + 3 + 6. What is the first derivative of 0*y**2 + t - 3*y**2 - 2 wrt y? -6*y Let b(y) be the third derivative of 1/35*y**7 + 0*y**5 + 0*y**6 + 7/6*y**3 + 6*y**2 + 0*y**4 + 0 + 0*y. What is the derivative of b(p) wrt p? 24*p**3 Let k(x) be the first derivative of 31*x**5/5 + 11*x**3/3 + 26. Find the third derivative of k(b) wrt b. 744*b Let i(f) = -34*f**3 + 5*f**2 + 32*f - 5. Let j(c) = 17*c**3 - 3*c**2 - 16*c + 3. Let w(n) = 3*i(n) + 5*j(n). Find the second derivative of w(t) wrt t. -102*t What is the second derivative of -5*i - 3*i**5 + i - 3*i**5 wrt i? -120*i**3 Let c(b) = -17*b**5 + 6*b**3 + 30*b - 6. Let g(m) = 17*m**5 - 5*m**3 - 31*m + 5. Let o(u) = 5*c(u) + 6*g(u). What is the second derivative of o(n) wrt n? 340*n**3 Let q be (-28)/(-10) - 9/(-45). Find the second derivative of 9*m**5 - 5*m + q*m + 6*m - m wrt m. 180*m**3 Let i(r) be the third derivative of -2*r**7/105 + r**5/12 - 3*r**2. Find the third derivative of i(o) wrt o. -96*o Let o(r) be the third derivative of -r**6/60 + r**4/24 - 6*r**2. What is the second derivative of o(w) wrt w? -12*w What is the first derivative of -531*h - 1 + 17*h**4 + 531*h wrt h? 68*h**3 Let k(d) = d**3 - 8*d**2 + 6*d + 10. Let x be (7/4)/((-5)/(-20)). Let a be k(x). Differentiate a - 2*f**2 - 1 + f**2 wrt f. -2*f Suppose 5*k + 6*o = o + 120, -4*k = -2*o - 72. Suppose -u + k = 4*u. Differentiate -3*b**u + 2*b**4 + 3 + 0*b**4 with respect to b. -4*b**3 Let s(a) = -34*a**4 + 2*a - 15. Let v(p) = -170*p**4 + 11*p - 76. Let u(j) = 11*s(j) - 2*v(j). Differentiate u(l) wrt l. -136*l**3 Let i(u) be the third derivative of u**4/24 + u**3 - 2*u**2. Let q be i(-5). Find the third derivative of n**4 - n**2 + 1 - q wrt n. 24*n Let z(u) = 4*u**4 - 4*u**2 + 2*u - 4. Let j(b) = b**5 - 11*b**4 + 11*b**2 - 6*b + 11. Let c(i) = 4*j(i) + 11*z(i). Find the second derivative of c(k) wrt k. 80*k**3 What is the third derivative of -494*r - 2*r**3 + 494*r - 4*r**2 wrt r? -12 Let o(d) = -77*d**3 - 9*d**2 + 36. Let w(a) = 19*a**3 + 2*a**2 - 9. Let h(n) = -2*o(n) - 9*w(n). What is the first derivative of h(x) wrt x? -51*x**2 Let z be 3/3 + 2 - -1. Suppose 0*u - u + 2*p = -17, 5*p - 3 = -z*u. What is the third derivative of 2*y**5 - u*y**5 + 3*y**2 + 3*y**5 wrt y? -120*y**2 Let w(j) be the third derivative of -j**7/42 - j**5/3 - 14*j**2. What is the third derivative of w(u) wrt u? -120*u Let n(x) = 325*x**4 + 55*x**3 - 360. Let g(h) = 36*h**4 + 6*h**3 - 40. Let j(i) = 55*g(i) - 6*n(i). What is the derivative of j(v) wrt v? 120*v**3 Let z(h) be the second derivative of 17*h**7/14 - 8*h**3/3 - h + 15. What is the second derivative of z(t) wrt t? 1020*t**3 Differentiate -11*q**2 - 18*q**2 + 10 + 12 wrt q. -58*q Let m(b) = -24*b**3 - 36*b**2 + 21*b + 21. Let n(j) = 5*j**3 + 7*j**2 - 4*j - 4. Let k(h) = -4*m(h) - 21*n(h). What is the third derivative of k(f) wrt f? -54 Suppose -3*k - 7 + 1 = 3*w, -2*k = 3*w + 9. Let i(j) be the first derivative of 1 - 1/3*j**k + 0*j**2 + j. Differentiate i(h) wrt h. -2*h Suppose 4*i - 8 = -0*i. Let c(d) = -d**2 - d - 1. Let t(b) = 5*b**2 - 6*b - 2. Let h(s) = i*c(s) - t(s). What is the second derivative of h(y) wrt y? -14 Find the second derivative of -41*g**2 + 7*g - 40*g**2 + 32*g**2 wrt g. -98 Let o(u) = u**3 + 8*u**2 + 8*u + 9. Let m be o(-7). Find the third derivative of 5*f**5 + f**5 - m*f**5 + 2*f**2 wrt f. 240*f**2 Let m(p) = 13*p**3 - 67*p. Let o(t) = 9*t**3 - 45*t. Let r(a) = -5*m(a) + 7*o(a). Find the second derivative of r(x) wrt x. -12*x Let f(b) be the second derivative of b**5/40 + b**4/8 - b**3 - 3*b. Let l(z) be the second derivative of f(z). Differentiate l(v) with respect to v. 3 Let v(j) = 10*j + 2. Let w be (16/6)/((-8)/24). Let i(h) = -2*h - h + 2*h. Let d(o) = w*i(o) - v(o). What is the derivative of d(r) wrt r? -2 Let n(u) = -u**2 - 4*u + 4. Let d be n(-4). Differentiate 4*y - 2 + y - d*y wrt y. 1 Suppose 0*s - 17 = -4*s + 5*c, 5*s - 2*c = 0. Let q = -1 - s. What is the derivative of n**3 + q + 2*n**2 - 2*n**2 wrt n? 3*n**2 Let a = -3 + 7. What is the third derivative of h**2 + 2*h**a - 8*h**4 + h**2 wrt h? -144*h Let x(l) be the first derivative of -33*l**4/4 - l**3/3 - 13. Find the third derivative of x(b) wrt b. -198 Let r(o) be the second derivative of o**4/24 + o**3 + o**2/2 - 7*o. Let a(d) be the first derivative of r(d). What is the first derivative of a(n) wrt n? 1 Suppose 2*l - 4*c + 12 = c, 5*c = 4*l + 4. What is the first derivative of 22*f**l - 4*f**4 + 1 - 12*f**4 wrt f? 24*f**3 Let r(y) be the third derivative of -y**8/840 + y**6/90 + y**3/6 + 4*y**2. Let w(u) be the first derivative of r(u). What is the third derivative of w(p) wrt p? -48*p Differentiate -18*h**4 + 40*h**3 + 48 - 40*h**3 - 16*h**4 - h**2 wrt h. -136*h**3 - 2*h Let r(j) = j**3 - 7*j**2 + 7*j. Let i be r(6). Let a = 8 - i. Find the second derivative of -o**3 - a*o + 4*o - 4*o wrt o. -6*o Let s(w) = -w**2 + 6*w - 5. Let n be s(4). Suppose -n*i - 1 = -7. What is the third derivative of a**2 + a**2 - a**2 + 3*a**5 - 4*a**i wrt a? 180*a**2 Let z(n) be the second derivative of n**9/15120 - n**5/120 - n**4/6 - 2*n. Let l(s) be the third derivative of z(s). What is the first derivative of l(b) wrt b? 4*b**3 Let v = 6 + -3. What is the third derivative of -21 - 3*k**2 + 21 + 5*k**v wrt k? 30 Let x(n) be the first derivative of 2*n**6/3 - 3*n**2 + 6. Find the second derivative of x(s) wrt s. 80*s**3 Find the third derivative of 3*q**2 - 4*q**6 + 0*q**6 - 2*q**2 + 11 + 2*q**5 - 3*q**5 wrt q. -480*q**3 - 60*q**2 Let d(v) be the third derivative of v**7/35 - v**6/60 - v**4/12 + 7*v**3
{ "pile_set_name": "DM Mathematics" }
8*k + k**2. Let h be a(-8). Suppose 4*b = -3*t + 989, h*t = 4*b - 640 - 331. What is the tens digit of b? 4 Let m = -354 + 375. Suppose -4*z = -m*z + 5304. What is the hundreds digit of z? 3 Let i(p) = -p**3 - 42*p**2 + 40*p + 378. What is the thousands digit of i(-45)? 4 Suppose -10871*a + 10873*a - 4884 = 0. What is the tens digit of a? 4 Let p be 189/(-27) + 2*3. Let t(u) = -773*u + 36. What is the tens digit of t(p)? 0 Let q be (-688)/(-16 + 8) + -6. What is the tens digit of q/5 - 7 - -1773? 8 Let d(l) = 392*l**2 + 13*l + 56. Let s be d(-5). Suppose 31449 = 34*t + s. What is the units digit of t? 7 Let f(v) be the first derivative of -11*v**2/2 - 30*v + 4. Suppose -2*k + 36 = -4*z, 5*k + 21 = 1. What is the units digit of f(z)? 1 Let o be (-2)/(-7) - (-122)/14. Let k(g) = 2*g**2 - g + 46. Let m(s) = -3*s**2 + s - 68. Let l(n) = -7*k(n) - 5*m(n). What is the units digit of l(o)? 7 Suppose 3*n = 4*f - 101, -3*n + 10 = -f + 42. Suppose 0 = -f*i + 20*i + 2*b + 2486, -3*i - 3*b + 2466 = 0. What is the hundreds digit of i? 8 Suppose -62*o + 720 = -58*o. Let n = o + -132. What is the tens digit of n? 4 Let w = -409 + 413. Suppose w*d + 9*d = 13585. What is the tens digit of d? 4 Suppose 3*f - 5*s - 218 = 0, f - 178 = -2*f - 5*s. Let v be f/(-7)*((-42)/7 - 8). Suppose 2*q + 2*b - v = -0*q, -5*q - 2*b = -318. What is the tens digit of q? 6 Let h(i) = 3894*i - 826. What is the tens digit of h(5)? 4 Suppose 2*h = -2*m + 22884, m + 29*h = 34*h + 11442. What is the tens digit of m? 4 Suppose -5*f + 1 = -29. Suppose -10 = -0*h - 3*h - 5*a, 4 = -4*a. Suppose 3*j - 3 = 0, 0 = -h*c + j - f*j + 30. What is the units digit of c? 5 Let l(v) be the first derivative of -5*v**2/2 + 66*v - 78. What is the units digit of l(-11)? 1 Let p(y) = 50*y**2 + y - 166. What is the thousands digit of p(10)? 4 Let t(w) = -279*w**2 + 2*w + 11. Let a be t(2). Let l = -625 - a. What is the tens digit of l? 7 Let o be ((-110)/15 - -2)*-15. Let g be o*(-2)/(8/(-19)). Suppose -h - 4*h + g = 0. What is the tens digit of h? 7 Let m = 24506 + -3558. What is the hundreds digit of m? 9 Let c(y) = 20*y - 202. Let d(v) = 40*v - 408. Let l(z) = -13*c(z) + 6*d(z). What is the units digit of l(-11)? 8 Let q = 12 + -5. Suppose q*i - 2557 = 565. What is the tens digit of i? 4 Let a(r) = 5 + 85*r**2 + 77*r**2 - 6*r - 3 - 155*r**2 + 0. What is the units digit of a(3)? 7 Let r(w) be the third derivative of -1/6*w**4 + 52/3*w**3 + 0*w + 0 + 15*w**2. What is the tens digit of r(0)? 0 Let h(n) = -3860*n - 5. Let x be h(-6). Let l be ((-2)/4)/(-6 + x/3860). Let j = 547 - l. What is the units digit of j? 1 Let o be (3 + 1 - 3)/(5/15). Suppose 0 = o*s - 944 - 697. What is the tens digit of s? 4 Suppose -i = -2*k - 5, -3*k - 2*i = -8*k - 10. Let g be (k - (-12)/16)*4. Suppose 5*x + g*v - 760 = 7*v, 4*v = 2*x - 304. What is the hundreds digit of x? 1 Let o(p) = 138*p**2 - 8*p - 2. Let d be o(-4). Suppose 0 = 3*a - a - f - d, 2232 = 2*a + 2*f. What is the thousands digit of a? 1 Suppose 0 = 5*t - 362 - 2408. Suppose f - l - 240 = 0, -4*f - 4*l = -406 - t. What is the units digit of f? 0 Let t be 6/(-51) - 20/(-170). Suppose x = u - 1, 3*x = 2*u - t*u + 2. Suppose 4*v = -x*j + 840, -2*v = -j + v + 226. What is the hundreds digit of j? 2 Let v be (-1659)/(-2)*(-33)/(1287/(-52)). Let x = 286 + v. What is the tens digit of x? 9 Let j(w) = -110*w + 10. Suppose -5*l - 9 - 11 = 0. What is the units digit of j(l)? 0 Let z be (-598)/(-130) - 6/10. Suppose 42 = -5*f + 4*r, -z*f + 4*r = -0*r + 36. What is the units digit of (-47)/94*(-3)/(f/(-536))? 4 Let v(t) = -707*t + 10. What is the thousands digit of v(-12)? 8 Let u(s) = 116*s**2 + 39*s - 224*s**2 - 100 + 107*s**2. What is the tens digit of u(27)? 2 Let v = 57172 + -36208. What is the units digit of v? 4 Let x(p) = 649*p**2 - 439*p + 2257. What is the hundreds digit of x(5)? 2 Let p = -72 - -73. Let l(s) be the first derivative of 41*s**2 - 2. What is the tens digit of l(p)? 8 Suppose -50*y + 6 = -52*y - 2*u, 0 = -4*y - 5*u - 14. Suppose -2*p - 4*d + 312 = 0, -p + 2*d + 604 = 3*p. What is the tens digit of p/(-10)*(y + 12/(-3))? 7 Let v = -6 - -11. Suppose -2*p + 4*y - 8*y + 8 = 0, -v*p = -4*y - 20. Suppose -p*s = 4*s - 896. What is the units digit of s? 2 Let h(x) = x**2 - 15*x + 19. Let d be h(6). Let z = d + 57. What is the tens digit of z? 2 What is the tens digit of 2424/(-120)*15*(4/(-3))/2? 0 Let u(q) = q**2 + 9*q - 33. Let s be u(-12). Suppose 0 = -3*l - s*l + 2238. What is the hundreds digit of l? 3 Let i be (-4)/14 + 27/(2268/192). Suppose 3*j - i*c = 4471, -3*j + 0*c = -3*c - 4476. What is the units digit of j? 7 Suppose -4*s = 5*z + 190, 0 = -3*z + 4 + 2. Let n = s - -53. Suppose 5*t = 3*d - 69, 0 = -n*d + 3*t + 17 + 52. What is the tens digit of d? 2 Let y be 4/(-6) - 28/(-6). Let s be -129 - (y + -8 + 6). Let t = s + 214. What is the units digit of t? 3 Let s = 26877 - 14582. Suppose -16*m + s = 4263. What is the hundreds digit of m? 5 Let w(v) = -v**3 - 130*v**2 - 73*v - 1170. What is the units digit of w(-130)? 0 Let g(r) = 2*r**3 + 29*r**2 + 38*r - 12. Let o be g(-13). Let v(b) = 8*b**2 + 3*b + 34*b**3 - 2 - 8*b**2. What is the tens digit of v(o)? 3 Let h(m) = 2*m**2 + 5*m - 72. Let j be h(21). Suppose -4*b + 6*r + 753 = 7*r, -5*b + j = -4*r. What is the hundreds digit of b? 1 Let q(w) = -21*w**2 - 8*w - 9. Let y be q(-4). Let c = -33 - y. What is the tens digit of c? 8 Let s(t) = -46*t**2 - 4*t + 23. Let j(h) = -2*h**2 - 2*h. Let r(g) = 5*j(g) - s(g). What is the tens digit of r(-3)? 1 Suppose -60 = -5*z - 7*z. What is the units digit of 318/14 - ((-40)/28)/z? 3 What is the units digit of (-5 - -4)*(3 + 1 + 2 + -1242)? 6 Let d be (-26 + (-4 - -11))*-877. Suppose -30*v - d = -49*v. What is the tens digit of v? 7 Let s(n) = n**2 - 10*n - 27. Let w be s(-12). Let z = w - 160. Let f = z - 61. What is the tens digit of f? 1 Let i = -11269 - -20747. What is the units digit of i? 8 Suppose 0 = -3*f + 5*h + 66931, 5*h + 89238 = 314*f - 310*f. What is the thousands digit of f? 2 Suppose -3*k - 4*x + 18387 = 0, 3*k - 9148 - 9233 = -2*x. What is the units digit of k? 5 Suppose 0 = 11*t - 14250 - 54742. What is the units digit of t? 2 Suppose 0 = 5*u + 4*j - 45, 16 = 10*u - 8*u + 2*j. Suppose -4096 = -u*y + 12063. What is the thousands digit of y? 1 Suppose g = 4*g - 12. Suppose -5*h - 2*l + 178 = 0, -50 = -h - g*l - 0*l. Suppose x + 5*q - h = 0, 2*q + 102 = 3*x - 0*q. What is the tens digit of x? 3 Let z(p) = -13*p**3 - 3*p**2 - 17*p - 46. Let y be z(-4). What is the units digit of -5 + (y - -4) - 6? 9 Let y be -7 + 8/(-48)*0. Let q(p) = -p + 1. Let k be q(-3). What is the units digit of (-4)/k + -8*y/2? 7 Let j(m) be the first derivative of -m**4/4 - 11*m**3/3 - 9*m**2 + 6*m + 37. Let g be j(-9). Suppose -g*w + 1249 = 409. What is the hundreds digit of w? 1 Let w be (-2)/((22 + -21)*(-2)/3). Suppose -4*v + 302 = u, -2*v - w*u + 105 = -41. What is the units digit of v? 6 Suppose 2*r = 20*b - 16*b - 87422, 3*b = 5*r + 65556. What is the hundreds digit of b? 8 Let w be 837/18*(-32)/3. Let l = w + 895. Let d = 576 - l. What is the units digit of d? 7 Let y = -250 + 253. Suppose -5*d - 2*n + 6106 = 0, -7*n - 2452 = -2*d - y*n. What is the tens digit of d? 2 Let w(q) = 200*q - 8164. What is the hundreds digit of w(87)? 2 Let m(y) be the first derivative of -y**4/4 + 34*y**3/3 - 13*y**2 + 48*y - 36. What is the thousands digit of m(32)? 1 Suppose -689 + 197 = -3*p. Let v(m) = -4*m**2 + 13*m - 1. Let l be v(3). Suppose 10 = -l*c + p. What is the units digit of c? 7 Suppose -19*i = -826 - 732. Suppose -b + 5*j = -1355, -80*b - 4*j - 2710 = -i*b. What is the hundreds digit of b? 3 Suppose -3*z = z + 16. Let o be 10/(-2) + 4 - z. Suppose 8 + 31 = o*i. What is the units digit of i? 3 Let t(a) = -a**2 + 10*a - 12. Let j be t(9). Let w be (-2)/4 + j + (-105)/10. Let i(y) = -2*y**2 - 30*y - 18. What is the tens digit of i(w)? 1 Let c = -7149 - -9690. What is the tens digit of c? 4 Let o(b) = -b**2 + 15*b + 45. Let z be o(17). Suppose z = 2*w + 11. Suppose -2*g - 4*u + 44 = w, -g - 4*u + 40 = -8*u. What is the tens digit of g? 2 Suppose -1102551 = -23*o - 423752. What is the units digit of o? 3 Suppose 5*t - 5 = 4*t. Let v(r) = -214 - r**3 - 212 + 421 + 6*r**2.
{ "pile_set_name": "DM Mathematics" }
(a) s (b) -4/7 (c) y c Let m = -3158 + 3157.7. Which is the biggest value? (a) -10 (b) 0.401 (c) m b Let p = -457/8 - -453/8. What is the biggest value in 0.5, -0.054, p? 0.5 Let x = 4.7461 - -0.0539. Let b = -5.8 + x. What is the third biggest value in b, 2/11, -2/7? b Suppose -9 - 2 = r. Let k(h) = h**2 + 13*h + 21. Let d be k(r). Let v be (d + 0)/((-9)/9). What is the third biggest value in v, 4, -9? -9 Let y be ((-2)/8)/((-1)/3). Let g = -309.69 + 309. Let r = -1.69 - g. Which is the second biggest value? (a) 0 (b) y (c) r (d) -0.4 a Let s = -13824 - -13828. What is the fourth biggest value in s, -1/7, -2/7, 1/2, 1? -1/7 Suppose -288*p = 381*p - 2012 + 5. Let z = -7.7 + -0.3. Let v = -2.4 + -0.6. What is the third smallest value in z, p, 0.2, v? 0.2 Let c be (0 + 4/1)*(-4)/(-24). What is the second smallest value in -3, 0.02, 13, c, 0.5? 0.02 Let w = -17908 - -17906.4. Let s = -0.5 + 0.48. Which is the biggest value? (a) s (b) w (c) 0 c Let f = -0.008 + 5.808. Let k = 235 + -231.2. Let v = k - f. Which is the smallest value? (a) v (b) -8 (c) -0.4 b Suppose 4*f - 4*r = -0*f + 32, 5*f = 3*r + 30. What is the third smallest value in -0.018, -0.3, f, 1/4, 0.5? 1/4 Let s = 0.12962 - 0.02962. Suppose -32 - 1 = -2*r - 5*g, -3*r + 5*g + 37 = 0. Let q be (-2 - r/(-8)) + 0. What is the third smallest value in s, q, -19? s Suppose -41*l + 146531 = -118*l. Which is the second smallest value? (a) -0.3 (b) -1/2 (c) l b Let l(g) = -365*g - 4016. Let j be l(-11). What is the third biggest value in 1/6, j, -1.206? -1.206 Let x = 4016 + -4020. What is the biggest value in x, 4, -1864? 4 Let k = 71240 - 71197. Let l be 10/3*3/(-8). Which is the second biggest value? (a) l (b) 1 (c) -0.1 (d) k b Let u = 133574 - 133578.1. Let s be 194/(-40) - 6/15. Let m = -181/36 - s. What is the second smallest value in -4, m, u? -4 Let h = -11592 + 11601. What is the fourth smallest value in h, 2, 2/9, 21? 21 Let a = -6 + 8. Let l be (-11 + (-927)/(-81))/(-4). What is the fourth smallest value in a, l, -2/9, -1/2? a Let b be 624/(-234) - (-1)/(-3). What is the third smallest value in 0, b, -0.1, 21? 0 Let p = 136 + 326. Let f = 462.3 - p. What is the fourth smallest value in -1/5, 10, f, -3? 10 Let k = -1 - 1. Let g = -13.8 + 9.8. Let b = -7 - g. What is the second biggest value in k, b, 5? k Let p be ((-4)/10 - 0) + 1. Let g = 9987.2 + -9989.2. Which is the third biggest value? (a) -4 (b) p (c) g (d) -10 a Let s = 27/154 - -17/154. Let l = 2 + -1. Which is the second biggest value? (a) s (b) l (c) 130 b Let o = -0.1 + 0.5. Suppose -5*d = -0*d + 5*c - 320, -4*d + 232 = -4*c. Let b = d - 63. What is the third smallest value in 3, o, b, -2/15? o Let w = -6733 - -13845/2. Let q = 190 - w. What is the fourth biggest value in -11/5, -0.2, -2/7, q? -11/5 Suppose -159 = -12*n - 135. Which is the third biggest value? (a) 3 (b) n (c) 186 b Let h = -0.0207 + -5.6693. Let k = h - -9.68. Let v = 3.6 - k. What is the biggest value in 0, v, 1? 1 Let z = -9115 + 9360. Which is the third biggest value? (a) -2/5 (b) z (c) -0.2 a Suppose -17 = 4*s - z, 6*z - 8*z + 10 = 0. Let n = 11.7 + -12. Which is the third smallest value? (a) n (b) -8 (c) s (d) 2/9 a Let w = 707/44 - 359/22. Let u = -2.5 - -3. Let b = 9 + -8.8. What is the fourth smallest value in b, w, u, 3/5? 3/5 Let n = 54 - 58. Let r = 28825/9 - 3203. Which is the second smallest value? (a) r (b) n (c) -3 c Let y = -33 + 35. Let c = 8.71 - 7.71. What is the fourth smallest value in c, y, 0.3, 0.6? y Let o = 31 + -30.96. Let a = 0.10216 + 4.84884. Let k = a + 0.049. What is the second smallest value in -4/3, o, k? o Let f = -4091.63 - -4087. Which is the fourth biggest value? (a) 3 (b) -4 (c) 0.4 (d) f d Let x = -1.60937 - 0.39063. What is the third smallest value in 4, 0.3, x, -2/5, -11? -2/5 Let l = -6006 - -6000. Which is the biggest value? (a) -8 (b) -2/5 (c) l (d) -4 b Let g be (-270)/72*(-120)/(-25). What is the fourth smallest value in 0.1, -3, -0.5, -49, g? -0.5 Let l(z) = z**2 - 31*z + 100. Let j be l(30). Let s be (4/j)/(60/(-150)). Let f = 0.16 + 10.84. Which is the second biggest value? (a) s (b) -1/5 (c) f a Let g = -1828/3 - -609. Let o be (-10 - -9)*1/(-3). What is the second smallest value in g, -21, o? g Let k = -0.04 + 0.44. Let r be (-6)/(-36)*-21*32. Let w = r - -786/7. Which is the third smallest value? (a) k (b) 0.3 (c) w a Let l = 11060 + -11365.05. Let f = l + 305. What is the second smallest value in -3, -2, f, -0.5? -2 Let b = 1.6698 + 0.3302. What is the fourth smallest value in 0, 16, b, -4/7? 16 Suppose -w = -140 + 136. What is the second biggest value in -3/10, 0.4, -1, w, 10? w Let k = -17543/21910 + 3/4382. Which is the biggest value? (a) 54 (b) k (c) 0.05 a Let t = -133384/47 - -2838. What is the third biggest value in 3, t, -5, -2/7? -2/7 Let b = 0.4 - 0.5. Suppose -u + 3*u = 3*f + 13, -f - 6 = u. Let o = -30 + 26. What is the second biggest value in -0.5, b, f, o? -0.5 Let w = 5545 + -8737. What is the second biggest value in 0.3, w, -3? -3 Let s = -3406 + 3401. What is the third biggest value in -0.5, 2/3, 307, s? -0.5 Let g = 7.262 - 7.262. Which is the third smallest value? (a) 18 (b) -0.1 (c) g (d) -4 c Let w be ((0/2)/(18 + -12 - 3))/1. Which is the second smallest value? (a) -0.1 (b) 842 (c) w c Let m = 3 + -2. Let g = -13.7 - -13.6. Let r = 47.01 - 50.01. What is the second biggest value in m, g, -0.3, r? g Let s = 480 - 314. Let l = -163 + s. Let j = 0.03 - 0.43. Which is the second smallest value? (a) j (b) l (c) -4/15 c Let g = -9421 + 28261/3. What is the smallest value in g, -1855, 4? -1855 Let g = 1.72239 + -1.92239. Suppose -2*m - 132 = 3*d, -4*d + 5*m - 109 = 67. Which is the third biggest value? (a) g (b) d (c) -3/5 b Let q = 534 - 534.36. Let p = -0.003 - 4.357. Let f = q - p. What is the second smallest value in -1, -0.1, f? -0.1 Let t = 266 - 285. Let r = t - -79/4. Let g = 0.07 - 0.13. Which is the smallest value? (a) 1/3 (b) r (c) g c Let q = 173/140 - 52/35. Which is the fourth smallest value? (a) q (b) -0.4 (c) 0.17 (d) -0.12 c Let h be (-10*3/6)/1. Let v = 12 + -11.5. Let s = -31 - -30.6. What is the biggest value in h, s, v? v Let t = -1841 - -1838. What is the third biggest value in -0.1, t, -0.6? t Let j = 19266 - 19263. What is the smallest value in 4/7, j, 0.03? 0.03 Let v = 64.7 - 64.6. Let o = -40 + 22. What is the fourth biggest value in 2, v, o, -5? o Let s = 482 - 338. Let w = 149 - s. Which is the biggest value? (a) -4 (b) w (c) -1 b Let y = 2599/2 - 1300. Let z = 78 + -47. Which is the third smallest value? (a) y (b) 3 (c) z c Let k be -2*4/(-16)*10. Suppose -k*f = -l + 28, 0*f - 20 = f - 5*l. Let x = -103/116 + 4/29. Which is the second biggest value? (a) x (b) -3 (c) -0.11 (d) f a Let t = -47.6 + 47.9. Let z = 1.1 + -1.07. Let d = 1.97 + z. Which is the second biggest value? (a) t (b) -3/5 (c) d a Let d = -1/28305 - 3356/1149183. Which is the biggest value? (a) d (b) 0.2 (c) 4 c Let z = -0.6976 + 0.2976. What is the second smallest value in 1/2, z, -0.05, 2/5, -0.6? z Let d = -143.158 - -0.158. Let k = d + 149. What is the second smallest value in 5, k, 0.5, -5? 0.5 Let h be ((-8)/(-7))/((-1716)/(-273)). Which is the third smallest value? (a) -3.7 (b) 5 (c) -2 (d) 1/3 (e) h e Let s = -106591 + 106590.6. Let h = -2 - -9. Which is the third biggest value? (a) s (b) h (c) -4/3 c Let i = 54449.831 - 54339. Let f = 0.169 + i. What is the third smallest value in -3/5, f, -0.3? f Let g be (-12)/1*43/774. What is the smallest value in g, 13, -0.2, 2/9, 0.1? g Let v = -6556/35 - -1314/7. Let y be 8/10*42/56. What is the biggest value in v, y, 1, -9? 1 Let b be -21*6/72 - 3/(-4). Let q = -48.2 - -43.2. Let x be (-1)/(-2) - 10/4. What is the fourth smallest value in b, x, 2/5, q? 2/5 Let g = 15415 + -15410. What is the biggest value in g, 791, 2/15? 791 Let k = -72 - -77. Let x be -5*-4*k/(-140). Which is the smallest value? (a) -0.2 (b) 2/7 (c) x c Let r(o) = 3*o**2 - 8*o + 20. Let f be r(7). Let w = f + -89. Let y be 82/20 - (w + 2)/6. Which is the fourth smallest value? (a) -5 (b) 2 (c) -0.5 (d) y b Let o = 5722.6 + -5723. Which is the second smallest val
{ "pile_set_name": "DM Mathematics" }
) = 15 + 55*o**2 - 15*o - 104*o**2 + 50*o**2. Calculate the remainder when j(20) is divided by 20. 15 Let y(l) = 463*l - 1381. Calculate the remainder when y(5) is divided by 242. 208 Let p = -162 + 178. Let a(v) = -v**2 + 24*v - 102. Calculate the remainder when 102 is divided by a(p). 24 Let i = 6348 + -6322. Calculate the remainder when 7120 is divided by i. 22 Suppose -27*x = -1260 + 342. Let m be (-52)/9 + 4/(-18). Let j = m + x. What is the remainder when 81 is divided by j? 25 Let l be 15/20*(271 - 7). Let o = l + -195. Calculate the remainder when 19 is divided by o. 1 Let o = 13 + 5. Let h(r) = 2*r**3 - 8*r**3 + 8*r**2 - 2 + 0*r - 3*r + 5*r**3. Calculate the remainder when h(6) is divided by o. 16 Let x(u) = -14*u - 432. What is the remainder when x(-65) is divided by 4? 2 Let b(f) = 6*f**2 + 2. Let l(i) = -i**2 + 3*i + 5. Let z be l(-1). Calculate the remainder when (-58)/(-4)*10/5 is divided by b(z). 5 Let v = 340 - 338. Let s(r) be the first derivative of 10*r**3/3 + 3*r**2/2 - 2*r + 3. What is the remainder when s(1) is divided by v? 1 Let v = -547 + 213. Let l = v + 752. What is the remainder when l is divided by 70? 68 Let p(f) = 41*f + 277. Let m be p(-7). Let i(n) = n**2 + 7*n + 8. Calculate the remainder when i(m) is divided by 6. 2 Suppose 2*h = -3*h - 25. Let f(o) be the third derivative of -o**5/60 - o**4/8 + 19*o**3/6 + 6*o**2 - 11. What is the remainder when f(h) is divided by 7? 2 Suppose 380*j - 414*j + 19176 = 0. Calculate the remainder when j is divided by 81. 78 Suppose o + o = 7*o, 6614 = 2*m - o. Calculate the remainder when m is divided by 10. 7 Let g(k) = -12*k - 184. Let b(x) = -6*x - 91. Let s(r) = 13*b(r) - 6*g(r). Calculate the remainder when 124 is divided by s(-19). 19 Suppose -303 = -3*q - 108. Let i(r) = -r**3 - 69*r**2 - 130*r + 218. Let b be i(-67). Let l = q + b. What is the remainder when l is divided by 4? 3 Suppose -46*u + 52*u - 2352 = 0. Let q = 412 - u. What is the remainder when 404/7 + 2/7 is divided by q? 18 Let l(p) = -p**3 + 15*p**2 + 9*p - 122. Let q be (3 - 19 - -3)*-6. Suppose 97 = 5*u - q. Calculate the remainder when u is divided by l(15). 9 Suppose -78*t + 1636 = 15*t - 131. What is the remainder when 682 is divided by t? 17 Suppose 5*k - 121 - 19 = 0. Suppose -14*j + k = -56. Calculate the remainder when 9 is divided by j. 3 Calculate the remainder when 1381 is divided by 1361 + 2 - (-39 - -40). 19 Suppose 5*v = -n + 30, -3*n + 7*n - 30 = -2*v. Suppose -96 = v*d - 246. Calculate the remainder when 39 is divided by 2*3*50/d. 9 Suppose 0 = -b + 5 - 1. Suppose -b*m + 2*a + 33 = m, -2*a + 7 = 3*m. Suppose -5*u = 5*o - 220, m*u - 5 = 4*u. Calculate the remainder when o is divided by 10. 9 Suppose 5*d - 742 = -157*r + 160*r, -3*r - 27 = 0. What is the remainder when d is divided by 79? 64 Suppose -r - r = -2*a - 2, r + 11 = 4*a. Suppose -2*b = -10, -n - 2*b = -23 - a. Suppose 0 = -4*i + 149 - n. What is the remainder when i is divided by 6? 3 What is the remainder when 740 is divided by 0/(-5 - 3) + -3 + 11 + 2? 0 Let w be 1/3*180/20. Suppose h - 4*x - 226 = -2*h, -w*h = -2*x - 230. Let q(m) = m**3 - 5*m**2 + 5*m - 9. Calculate the remainder when h is divided by q(5). 14 Let z be (-3)/(0 - 9/21). Let b(x) = 17*x + 4. Let g(v) = -v**3 - 2*v**2 + 19*v + 1. Calculate the remainder when b(z) is divided by g(-6). 30 Let h(n) = 219*n + 6615. What is the remainder when h(-17) is divided by 16? 12 Suppose -b - 27 = -10*b. Let a be 1/((-6)/(-10))*b. Suppose -a*r = -4*x + 180, -6*x = -x + 3*r - 225. Calculate the remainder when x is divided by 23. 22 Let p(s) = -s**2 - 13*s - 2. Let k = 35 + -38. Calculate the remainder when p(k) is divided by 7. 0 Let v = 59775 - 44190. What is the remainder when v is divided by 131? 127 Suppose -p = -682 + 585. Suppose -86*w = -p*w + 88. What is the remainder when w is divided by 1? 0 Suppose -2*q = -2*d + 954, -11*d + 5*q - 1989 = -15*d. What is the remainder when d is divided by 199? 88 Suppose -30 = -5*i, -5*i = -o + 212 - 30. Calculate the remainder when o is divided by 126. 86 Suppose -732 + 64 = -4*f. Let v = f + -151. Calculate the remainder when 44 is divided by v. 12 Suppose 5112 = 32*n + 4*n. Let g = -163 + 271. Suppose 4*a - 144 = 4*v, 3*v - g = -3*a - 2*v. Calculate the remainder when n is divided by a. 34 Let i = -22509 + 22577. Let z = -1899 + 2714. Calculate the remainder when z is divided by i. 67 Suppose -63 = -21*u + 756. Let b(y) = -y**3 - 15*y**2 + 14*y - 8. Let v be b(-16). Suppose -5*q = -v - 1. What is the remainder when u is divided by q? 4 Let y(f) be the first derivative of -19 + 1/3*f**3 + 10*f + 4*f**2. Calculate the remainder when 34 is divided by y(-9). 15 Suppose -5*g + i + 14 = -1, 3*g = 5*i + 9. Let s = -2 + 4. Suppose s*q - 30 = 4*t, -2*q + g*q - t - 20 = 0. Calculate the remainder when q is divided by 9. 7 Let q(m) = -m**3 - 7*m**2 + 4. Calculate the remainder when -4*(-155)/20 + -8 is divided by q(-7). 3 Let b = -5 - -9. Suppose b*w - 44 = 40. Suppose -z = 2*r - 48 + 20, -4*r + 5*z + 28 = 0. Calculate the remainder when w is divided by r. 9 Let v(a) = 4*a**2 - 20*a - 15. What is the remainder when 569 is divided by v(-3)? 2 Let m = -2564 + 2756. What is the remainder when m is divided by 9? 3 Let q be (-1194)/(-14) + (-2)/7. Suppose -c + 4*i = -2*c, -3*c + q = -5*i. Let r = -43039 + 43047. Calculate the remainder when c is divided by r. 4 Suppose -4*n - 136 = 65*f - 76*f, 5*n + 12 = -6*f. Let i(m) = 6*m**2 - 5*m - 1. Calculate the remainder when i(-4) is divided by f. 3 Suppose 5 - 48 = 2*r - 3*m, 5*m = 3*r + 63. Let o(f) = f**3 - 6*f**2 + 7*f - 8. What is the remainder when (-39 + 36)*r/12*10 is divided by o(6)? 31 Suppose -2*r + 611 = 5*t, 1247*t - 1244*t - r - 360 = 0. What is the remainder when 2899 is divided by t? 116 Let h = 5309 - 3286. What is the remainder when 4053 is divided by h? 7 Let q(i) = 12*i**2 + 72*i + 154. Calculate the remainder when 114 is divided by q(-4). 56 Let a = 21322 - 20817. Calculate the remainder when 2036 is divided by a. 16 Suppose 0 = -68*j + 16*j + 3120. Let v(d) = 3*d**2 - 2*d - 6. What is the remainder when v(-6) is divided by j? 54 Suppose 18*q = 19*q - 9. Suppose 0 = 5*c - q*c + 804. Suppose -9*d + c = -6*d. Calculate the remainder when d is divided by 17. 16 Let j(x) = 35*x**2 + 10. Calculate the remainder when 331 is divided by j(0). 1 Let c(l) be the first derivative of -62*l**2 - 25*l + 12. What is the remainder when c(-6) is divided by 24? 23 Suppose -3*r - 4 = -16. Suppose -f + 52 = l, l - 3*l - 295 = -5*f. Let j = 60 - f. What is the remainder when r is divided by j? 1 Let f = 17 + 39. Calculate the remainder when (-21)/42 + (-445)/(-2) is divided by f. 54 Let j = 28 - 2. Suppose -2*t - 4 - j = -4*z, z = 3*t. What is the remainder when (-99)/5*(-275)/165 is divided by z? 6 Suppose 5*n = -s + 677, 2*n - 19 - 241 = 5*s. Let m = -109 - -132. Calculate the remainder when n is divided by m. 20 Suppose 4*f = -x + 1 + 43, -3*f - x = -32. Suppose -3*s + 3*p = -84, -5*p + 2*p + 100 = 5*s. Calculate the remainder when s is divided by f. 11 Let i = -21 - -39. Suppose -3*r = -2*r - i. Calculate the remainder when (150/(-4))/(66/(-132)) - 11 is divided by r. 10 Calculate the remainder when (-2 - 6)*24645/(-30) is divided by 25. 22 Let l = -443 + 492. Calculate the remainder when l - ((-10)/(-8))/((-21)/(-84)) is divided by 32. 12 Suppose -13*w = -6486 + 324. What is the remainder when w is divided by 53? 50 Suppose 6*p - 11*p = g - 239, -3*p = -3*g + 609. Calculate the remainder when 837 is divided by g. 1 Let s = 36 - 33. Suppose 0 = s*n - 46 - 2. Calculate the remainder when n/(-9) + 2 - 1202/(-18) is divided by 34. 33 Let z(t) be the first derivative of 2*t**2 + 143*t + 45. Suppose -65 = -5*h + 70. Calculate the remainder when h is divided by z(-32). 12 Suppose -3*h = -m + 965, 2*m + 25*h = 26*h + 1970. Let t(c) = 67*c**2 - 1. What is the remainder when m is divided by t(1)? 65 Let t(m) = m**3 - 13*m**2 - 100*m - 16. What is the remainder when t(19) is divided by 17? 12 Suppose -2*q + 50 = 5*o - 104, 0 = 2*o - 3*q - 54. Let w = 3094 + -3111. Let r = w + o. What is the remainder when 35 is divided by r? 9 Let r(l) = -48*l**3 + 47*l**2 + 164*l - 5. What is the remainder when r(-4) is divi
{ "pile_set_name": "DM Mathematics" }
0. -2, 0 Suppose 0 = 3*v - 8 - 4. Suppose 0 = 3*w - v*w. Find a, given that 0 + w*a + 0*a**2 - 2/7*a**4 - 2/7*a**3 = 0. -1, 0 Let h = 77 - 70. Let l(i) be the second derivative of 0*i**4 + 0*i**5 + 0*i**3 + 0*i**2 - 3*i - 1/135*i**6 - 1/189*i**h + 0. Factor l(r). -2*r**4*(r + 1)/9 Let b(p) = 2*p - 10. Let m be b(7). Find x, given that 2*x**2 - 2 + 3*x + x**2 - m*x = 0. -2/3, 1 Suppose -3*u - 4*c + c = -18, -u - 14 = -4*c. Suppose 2/7*l**u + 4/7 - 6/7*l = 0. Calculate l. 1, 2 Suppose 14 = 8*n - 2. Factor -2/9 + 0*i + 2/9*i**n. 2*(i - 1)*(i + 1)/9 Let w(z) be the second derivative of -2/3*z**3 - 1/6*z**4 + 1/5*z**5 + 0 + 1/15*z**6 + 0*z**2 + 5*z. Factor w(n). 2*n*(n - 1)*(n + 1)*(n + 2) Let z = 118 - 471/4. Factor g**2 - z*g + 0. g*(4*g - 1)/4 Let i(f) = 2*f**3 - 16*f**2 + 2*f - 16. Let k be i(8). Factor 1/2*p**2 + k*p - p**3 + 1/2*p**4 + 0. p**2*(p - 1)**2/2 Determine q, given that 4*q + 4/9 + 9*q**2 = 0. -2/9 Let q(z) be the first derivative of z**4 - 2*z**2 - 2. Factor q(p). 4*p*(p - 1)*(p + 1) Suppose 4*k + 14 = -5*p + 17, -4 = 4*p. Suppose -21/2*f**5 + 99/2*f**4 + 18*f**k + 12*f - 69*f**3 + 0 = 0. Calculate f. -2/7, 0, 1, 2 Let d = 1353/7 + -193. Let m(s) be the first derivative of 2 + 4/7*s**2 + 8/7*s - 2/7*s**3 - 2/35*s**5 - d*s**4. Find y such that m(y) = 0. -2, -1, 1 Let u(r) be the second derivative of 0*r**2 - 3/10*r**5 + 0 - 2/15*r**6 - 1/6*r**3 - 1/42*r**7 + 3*r - 1/3*r**4. Factor u(c). -c*(c + 1)**4 Let a = 42/19 - 50/57. Let -a - 2*m**2 + 10/3*m = 0. Calculate m. 2/3, 1 Let s = 10 + -8. Let -6 + 4*v**2 - 5*v**2 + 3*v + 4*v**s = 0. Calculate v. -2, 1 Let x be ((-3)/(-2))/(3/6). Factor -x*n**2 - 3*n**4 + n + 3*n - 2*n + 4*n**4. n*(n - 1)**2*(n + 2) Let s be (-3)/(0 + (-9)/6). Factor 0*j**s + 3*j**2 - 2*j**2 + 5*j - 2 - 5*j**2 + j**3. (j - 2)*(j - 1)**2 Suppose 0 = 6*x - x + 25. Let n = -2 - x. Factor -1/4*r**3 + 3/2*r**2 + 2 - n*r. -(r - 2)**3/4 Let a be (50/8 - 1) + (-6)/24. Let u(f) be the second derivative of 0 + 0*f**2 - 1/42*f**4 + 0*f**3 - f + 1/70*f**a. Solve u(g) = 0 for g. 0, 1 Let q = 0 - -3. Let v = -8/3 + q. Determine b, given that 3*b**3 - v + 3*b**2 - 1/3*b = 0. -1, -1/3, 1/3 Let k(h) be the third derivative of h**6/60 + h**5/120 - h**4/12 - h**3/12 - 3*h**2. Factor k(i). (i - 1)*(i + 1)*(4*i + 1)/2 Let f(u) be the third derivative of 0*u + 1/2*u**4 - 1/5*u**5 + 0 + 7*u**2 + 1/30*u**6 - 2/3*u**3. Factor f(z). 4*(z - 1)**3 Determine l, given that -58/7*l - 20/7 + 2/7*l**4 - 54/7*l**2 - 2*l**3 = 0. -1, 10 Suppose 0 = a - d - 7, -2*a - 3*d + 0 = 6. Let s = 4 + -2. Factor 7 + 7*j - 6*j**4 + 6*j**a + 24*j**2 + 14*j - 1 - s*j**5 - j**5. -3*(j - 2)*(j + 1)**4 Let z(b) be the first derivative of -3 + 0*b + 1/9*b**3 + 0*b**2. Suppose z(h) = 0. What is h? 0 Let y be -1*(-21)/42*(1 - 1). Find g, given that 1/2*g**2 + y - 1/2*g = 0. 0, 1 Let z(s) be the second derivative of -s**4/4 - 5*s**3/2 + 5*s. Solve z(i) = 0 for i. -5, 0 Factor -1/4*i**2 - 11/2*i - 121/4. -(i + 11)**2/4 Let r be -18*2/(-16)*4/18. Solve 1/4*i**4 + r - 1/4*i - 3/4*i**2 + 1/4*i**3 = 0. -2, -1, 1 Let o be (22 + -23)/(-1 - 2/(-4)). Determine a, given that -2/7*a**o + 0 + 0*a = 0. 0 Let p(c) = -c + 8. Let x be p(8). Determine w so that x*w + 2/11*w**2 + 0 = 0. 0 Let n(c) = 5*c**4 + 5*c**3 - 5*c**2 - 5*c - 7. Let j(y) = 5*y**4 + 5*y**3 - 5*y**2 - 5*y - 6. Let z(l) = 7*j(l) - 6*n(l). What is s in z(s) = 0? -1, 0, 1 Suppose -4 = -3*o + o. Let k be (-3)/((-9)/6)*o. Solve 4/3*c**2 - 4/3*c**k + 0 + 10/3*c**3 + 0*c - 10/3*c**5 = 0. -1, -2/5, 0, 1 Suppose -3*h = -7*h - 524. Let n = 1181/9 + h. Determine g so that 8/9*g**4 + n*g + 2/9*g**5 + 4/3*g**3 + 0 + 8/9*g**2 = 0. -1, 0 Let k(x) = -173*x**3 + 176*x**2 + 288*x + 64. Let w(r) = -86*r**3 + 88*r**2 + 144*r + 32. Let m(u) = -2*k(u) + 5*w(u). Factor m(g). -4*(g - 2)*(3*g + 2)*(7*g + 2) Factor 10/3*r**2 + 4/3*r - 2*r**3 + 0. -2*r*(r - 2)*(3*r + 1)/3 Factor 8/5 + 26/5*v**2 - 24/5*v + 2/5*v**4 - 12/5*v**3. 2*(v - 2)**2*(v - 1)**2/5 Suppose 2*d + 15 = 3*k - d, -k - 2*d = 1. Suppose -m**4 + m**3 + 0*m - m**k + 16 - 16*m + 4*m**3 = 0. Calculate m. -2, 2 Let a(g) be the first derivative of 5*g**3/3 + 10*g**2 + 20*g - 15. Factor a(d). 5*(d + 2)**2 Let c = -11 - -14. Determine w so that -15*w**4 + 5*w**4 - 1 + 5 + w**c + 22*w**2 + 5*w**2 + 20*w = 0. -1, -1/2, -2/5, 2 Suppose 2*y - 3 = 3. Let v be 0/(1 + y*-1). Factor -2*i**2 + 0*i**2 + v*i - 4*i - 2. -2*(i + 1)**2 Let x(l) be the second derivative of -l**6/120 - 3*l**5/80 - l**4/24 + 2*l - 12. Factor x(o). -o**2*(o + 1)*(o + 2)/4 Find x, given that -16/7*x**2 - 9/7 + 24/7*x = 0. 3/4 Factor 1/6*g**5 - 1/3*g**4 - 1/6*g**3 + 0*g + 1/3*g**2 + 0. g**2*(g - 2)*(g - 1)*(g + 1)/6 Let p(d) be the first derivative of -d**7/168 + d**6/180 + d**5/24 - d**4/12 + d**3/3 - 1. Let t(y) be the third derivative of p(y). Factor t(s). -(s - 1)*(s + 1)*(5*s - 2) Factor -5*n**3 + 6 - 3*n**3 + 9*n + 4*n**3 + n**3. -3*(n - 2)*(n + 1)**2 Let v(n) be the second derivative of 0*n**2 + 1/40*n**5 + 0 + 1/3*n**3 - 1/6*n**4 + 9*n. Factor v(l). l*(l - 2)**2/2 Suppose -7*m = -5*m - 4. Let b(t) be the second derivative of m*t + 0*t**2 + 0 + 1/30*t**4 + 1/15*t**3. Suppose b(w) = 0. What is w? -1, 0 Let q(k) be the third derivative of -k**5/150 - k**4/12 + 24*k**2. Solve q(h) = 0. -5, 0 Suppose 5*z = -5*q + 4*q + 27, z - 1 = 2*q. Factor -8*n - n + 2*n**2 - 4*n**q + n - 8. -2*(n + 2)**2 Let s(o) be the second derivative of 3*o**5/70 - o**4/21 - o**3/21 + 8*o. Let s(m) = 0. What is m? -1/3, 0, 1 Let w(f) = f. Let r(u) = 5*u + 11. Let g(o) = -r(o) + 4*w(o). Let s be g(-13). Factor 0*d + 0 - 1/5*d**3 + 2/5*d**s. -d**2*(d - 2)/5 Factor -6*l**2 - 4*l**3 - 7*l - 5*l - 10*l**2. -4*l*(l + 1)*(l + 3) Let v(l) be the first derivative of l**4/6 + 8*l**3/9 + 5*l**2/3 + 4*l/3 + 4. Solve v(x) = 0. -2, -1 Let q(w) = w**2 - w. Let g(p) = p**2 + 2*p - 4. Let y(f) = 2*g(f) - 4*q(f). Factor y(u). -2*(u - 2)**2 Let l(j) = -j**3 - 9*j**2 - 8*j + 2. Let d be l(-8). Find p such that d*p**2 + 4*p - 3*p - 6 + 3*p = 0. -3, 1 Let s be (-2)/10*3*(-2)/3. Let -4/5*i**3 + 2/5*i**4 + 0*i + s*i**2 + 0 = 0. Calculate i. 0, 1 Let p(o) be the first derivative of 2*o**5/45 + o**4/9 + 2*o**3/27 + 1. Suppose p(s) = 0. Calculate s. -1, 0 Let y(c) be the third derivative of -c**7/630 + c**5/60 + c**4/36 + c**2. Factor y(d). -d*(d - 2)*(d + 1)**2/3 Let v = -44 + 617/14. Let l(s) be the first derivative of 4/7*s + 8/21*s**3 + v*s**4 + 5/7*s**2 - 2. Factor l(y). 2*(y + 1)**2*(y + 2)/7 Let a be -3 + 7 + ((-15)/(-5) - 4). Factor -1/3*c**a + 2/3*c + 1/3*c**2 + 0. -c*(c - 2)*(c + 1)/3 Let o be (2/35)/((-12)/(-60)). Determine w so that -2/7*w**3 - o*w**2 + 2/7*w**4 + 2/7*w + 0 = 0. -1, 0, 1 Let i = 181 + -899/5. Let -i - 2/5*t**2 - 8/5*t = 0. Calculate t. -3, -1 Factor 5*k**3 + 6*k**3 + k**3 - 3 - 18*k**2 - 3*k**4 + 12*k. -3*(k - 1)**4 Suppose 2*j - 2 = 2. Let g(q) be the first derivative of -2/7*q - 2/7*q**2 + j - 2/21*q**3. Factor g(r). -2*(r + 1)**2/7 Suppose -2 = p - 2*h + 4*h, -8 = -3*p + h. Let 0*a**3 - 6*a**3 + 6*a - 2*a**4 + 3*a**2 + a**4 - p*a**4 = 0. Calculate a. -2, -1, 0, 1 Let b(i) be the first derivative of 5*i**6/18 - 5*i**4/6 + 5*i**2/6 - 15. Factor b(p). 5*p*(p - 1)**2*(p + 1)**2/3 Let f(z) be the first derivative of 1/4*z**2 - 1 + 0*z - 1/6*z**3. Suppose f(r) = 0. What is r? 0, 1 Suppose 0 = 4*d - 16, 3*h - 9 = -2*d - 1. Suppose -3*y + 6 = -h*y. Factor 11/4*l**y + 0 + 1/2*l + 4*l**3 + 7/4*l**4. l*(l + 1)**2*(7*l + 2)/4 Let x(c) be the third derivative of c**6/840 + c**5/105 - 15*c**2. Determine t so that x(t) = 0. -4, 0 Let k = -101/2 + 497/6. Let u be 88/3 - 10/(-5). Determine j, given that u*j**2 + 8/3 + 16*j**4 - 44/3*j - k*j**3 - 3*j**5 = 0. 2/3, 1, 2 Let s be ((-8)/28)/(1/(-7)). Factor 2*u**2 - s + 0 - 5*u + 5*u**3 - 1 + 1. (u - 1)*(u + 1)*(5*u + 2) Let s(o) = o**2 + 2*o + 2. Let i be s(0). Factor -1/3*c**i + 0 - 1/3*c**3 + 2/3*c. -c*(c - 1)*(c + 2)/3 Suppose -2*y = 4*h + h + 11, h + 3*y = -10. Let t be 6 + h + (-1)/1. Factor 7*s**2 - 5*s**2 - 7*s**3 + 16*s + t + 3*s**2. -(s - 2)*(s + 1)*(7*s + 2) Let k = 0 - -5. Let x(v) be the second derivative of -1/10*v**k - 1/2*v**2 - 5/12*v**4 + 0 - 5/84*v**7 + 1/5*v**6 + 3/4*v**3 + v. Solve x(s) = 0 for s. -1, 2/5, 1 Determine b so that -2/5*b**3 + 6/5*b + 0*b**2 - 4/5 = 0. -2, 1 Let d(f) be the f
{ "pile_set_name": "DM Mathematics" }
-3 - 83) + ((-1)/(-14) - 25419/(-3206)). -78 Calculate (32/(-14))/(93/3472) + (24 - (-444)/(-18)). -86 What is the value of 100/(-1400) + -9*(-15)/(-70) + (-26)/(-10)? 3/5 Evaluate (-42054)/(-2795) + -3 - (23 - 11). 3/65 Evaluate (-20894)/323857 - (166/(-155))/(-2). -3/5 What is the value of (-862)/920 + 855/684 - 2/5? -2/23 (-4)/38 + ((-2)/7 - 556600/(-538384)) 9/14 Evaluate ((-29184)/32)/(-38) - (-9508)/(-396). -1/99 Calculate 4/17 + (-11000119)/(-585888) + -19. 1/96 What is the value of -170 + 114730/(-12069)*-18? 10/9 Calculate 189878/(-3685) + 56/(-44) + 44. -44/5 Calculate -45*((1 - 59) + 59). -45 What is the value of (-25)/8*(4*2)/(-341 + 361)? -5/4 (70/(-2) - 0)/(99 + 59856/(-609)) -49 Calculate 2238/4476*8/2. 2 What is the value of ((-4336)/98644)/(10/(-325))? 10/7 Evaluate (-138)/(-506)*(29/10 - 4). -3/10 What is (2 - 9/2)*(-3)/(-10)*50840/106764? -5/14 Evaluate (-262)/(-1965)*(70/(-18))/(-7). 2/27 What is the value of (10*(-57)/(-1140))/((-5)/70)? -7 What is ((-2)/(-1))/(((-235)/4982)/(-3 + (-85)/(-20)))? -53 What is the value of (169/26 - 8)*(-6 - 434/(-21))? -22 What is (-14)/(-6)*(1710/(-882) + 2)? 1/7 Evaluate 6 + (0 - -1) + 0 - 1075/172. 3/4 What is ((-165)/(-125))/(27401/4982)? 6/25 What is ((-363)/(-33))/((-32)/10 + 192 + -189)? -55 What is the value of ((-3796)/(-246740))/((-6)/20)? -2/39 Evaluate (-146 - -144)/(-3 - 131/(-43)). -43 What is the value of (4/(-56))/((-6)/(-768))*7/(-2)? 32 What is (-50)/12*1257120/116400? -45 What is the value of (-1 - (-4)/28)*((-9140)/(-500) - 18)? -6/25 What is (112/(-21))/(1968/(-1722))? 14/3 Calculate -1*(-2)/(-30) + -276 + (-49258174)/(-178710). -10/23 What is -1*33/9 + 38505/8415? 10/11 Calculate (68182/(-949) - -72)*(0 - 1). -2/13 What is the value of ((-81)/(-3267))/(((-592)/(-1628))/(4/2))? 3/22 (5121/345 + -15)*(-50)/(-30) -6/23 Evaluate ((-14)/(-24))/((-593)/(-21348)). 21 Evaluate -8 - 1 - 3/((-75)/100*4/(-3)). -12 Calculate (25 + 880/(-32))*106/(-5). 53 Calculate (4/(-102) - 381939/10404) + 29. -31/4 What is the value of (-28)/22*((-229)/3893 + (1950/(-85) - -1))? 28 Evaluate ((-1)/(-5))/(4607/(-920045)) - (-1)/(-17). -40 (403305/2672 + -159)*-16 129 Evaluate -4*((-15)/(-44))/(((-5328)/(-407))/8)*-6. 5 (99/(-22))/(-13 - (-18208)/1408) 66 (9 + 1045/(-114))/((1/4)/((-15)/(-375))) -2/75 -4*6/(-8)*(-17306)/(-1527) 34 What is the value of 200/30*108/((-171)/(-19))? 80 What is (1 - 84/24)*((-12)/100)/((-3)/2)? -1/5 What is the value of (70817/12316)/((-2)/(-24)*-1)? -69 -73 + (105 - (-17 + -5)) 54 (-5)/4 + 50754/264 + -55 136 What is the value of (5 + 2/12*33)*11340/15435? 54/7 Evaluate (-7 + (-121)/(-66)*3)*(-52)/(-3). -26 Evaluate 172/(-40) + 2 + (-10)/(-5) + 85877/(-2110). -41 What is 6*(-81 + 135540/1674)? -6/31 What is the value of 27*(-10)/(-1350)*1 + (-296)/5? -59 Evaluate 388368/(-14384) + (43*3)/3. 16 Calculate 29832/572 - 52 - 524/364. -9/7 ((-50 + 3885/63 + (-1)/(-3))/10)/6 1/5 What is 254123/(-10149) + (-16)/(-408)? -25 (-50457)/1261425 - ((-226)/600)/(-1) -5/12 What is (-621)/(-108)*368/45494? 2/43 ((-99960)/2992)/245*((-166)/174 - -1) -2/319 Calculate 8 + (-111)/(-3) + 48422/(-2046). 64/3 What is (-50)/5*(-6048)/(-1120) - 7/(-1)? -47 What is the value of (-2)/27 - (-1960)/216 - (-14385)/(-1575)? -2/15 What is 12 - 3 - (2088/33 + -57)? 30/11 What is the value of -74 - (-19 + (-2225)/40)? 5/8 What is ((-750)/2100)/((-155)/15 - -7)? 3/28 What is ((-117)/(-8))/(8023/452 - 17)? 39/2 Calculate (-20)/(120/(-9))*864/(-15228). -4/47 (-40)/30 + ((-119)/(-297) + 160/(-440))*34 -2/27 Evaluate (3 - 81/30)/(4419/(-41244)). -14/5 Calculate 5481/(-238) + (-25)/306 + (-85)/(-765). -23 9 + 4/(-1256)*((-11)/((-88)/72) + 2821) -2/157 Calculate 13 - (294/36 + (0 - 1/6)). 5 What is the value of ((-18)/(-75))/(-4 + (-37)/(-10))*1170/36? -26 What is ((-4236)/(-17650))/(1 + (9/30)/(-3))? 4/15 (377511/(-5728) + 66)/((1/2)/1) 3/16 What is 375/(-78) + 47/(-2350)*-225? -4/13 5 - 1/2*7175/350 -21/4 (-50)/(-35)*((-1428)/510)/((-2)/5) 10 Calculate 2920/438 + 1424/(-120) + 6. 4/5 Evaluate 25140/52794 + (-2566)/(-168). 63/4 Evaluate 848/(-530)*((-4680)/(-32))/13. -18 What is the value of (116 - (-1656759)/(-14283))*54? 6/23 Calculate 966/176 - 378048/86636. 9/8 Evaluate 17/(2346/(-184))*(-81)/(-12). -9 Calculate ((-52)/(-6 - (-150)/45))/((-8)/(-16)). 39 Calculate ((-2)/(-3))/(4/(-27))*(1609794/11178 - 144). -3/46 Calculate 1980/297*2/(-30). -4/9 What is 14/4*(-332)/24402*1869? -89 Evaluate (-65)/(-130) + (165/6 - 14/14). 27 Evaluate (6/7)/(((-22)/572)/(392/364)). -24 What is the value of 59/(-4425)*10 - (-591)/45? 13 Evaluate -37*(-48)/(-7104) + 14/32*-2. -9/8 Evaluate 58*(19 - 20) + (-325)/(-25). -45 Calculate (102/(-34))/(-3) - 4*102/424. 2/53 Calculate ((359/(-7))/1 - -1) + 9542/33397 + 13. -37 What is the value of (-37*910/(-1295))/(3/(-3))? -26 What is the value of ((-568)/(-20448))/(5/(-8))? -2/45 What is 1 + 6 + ((-885)/(-59) - (-2368)/(-108))? 2/27 Evaluate ((-3)/(-6) - 4)*((-2125)/175 + 6). 43/2 What is -4*(13 - 30/(-120)*-78)? 26 What is (((-20)/(-266))/5)/((-6026)/42182)? -2/19 What is the value of ((-296)/32 + 6 + 3/(-6))*108/270? -3/2 3 + -19 - ((-5408)/128 + 44/(-16)) 29 Evaluate (8 - (-14 - 65)) + (-25)/(500/(-320)). 103 Evaluate (49/(7350/180) + 6063/(-5190))*4/11. 2/173 (((-186)/(-52))/((-36810)/15951))/((-1)/5) 31/4 What is the value of (-5780)/442 + 378/351? -12 What is the value of ((227934/737)/27)/((-6)/(-231)*7)? 63 (-133)/152*276/1127 -3/14 Evaluate ((-2)/5)/((-1848)/3564*15/175). 9 Calculate 1*20/15*(-3798)/18568. -3/11 What is (-5 - (-107)/3)/((-16)/(-24)) - 14? 32 Calculate 9/(-3) + -12 - ((-28059)/235 - -106). -8/5 ((-3 + 83)/(-5) + (-249 - -267))/(2/(-42)) -42 What is (7040 + -6960)*((-4)/16 + 0)? -20 What is the value of 8/(-26) - (-3 - -5)*18338/(-31486)? 6/7 What is (-6)/16 + (-9)/(-120)*95/57? -1/4 What is the value of 12*((-46)/1680*-6 + 6/(-30))? -3/7 Evaluate (-51 - (-6760)/130)*8/(-244). -2/61 ((-254)/3 - (135 - 153))/(-12) 50/9 Evaluate (57 - (-3 + 5)) + -15*351/405. 42 Evaluate 14*-37*445/3293. -70 What is ((7*(-100)/11130)/((-8)/6))/(45/18)? 1/53 Calculate 98 + -64 + (-4 - 36/6). 24 What is the value of 27/(-38) + (-301)/(-602)? -4/19 Evaluate (3308/(-664) - -5)/((-330)/440). -2/83 Evaluate (-30 + (-85260)/(-2850))/(-4). 2/95 What is the value of 379470/(-46982)*(-39)/5? 63 What is the value of (3/(-33))/(2/7 + (64739/1435 - 45))? -5/22 ((-285)/6)/((-7125)/1500) 10 What is the value of (286344/(-5432))/(36/84)? -123 What is 70 + 462/(86 + -100)? 37 Evaluate 14/(-2) + (9/((-36)/176) - (-1750)/250). -44 What is (-2 - -1)*3089/(-101937)? 1/33 Calculate ((-672)/(-147) + -5)/(-3 + 140/49). 3 What is the value of -315*(-72)/(158760/343)? 49 Evaluate 2/6 + (195/2535)/((-90)/39). 3/10 What is ((-44)/242)/(154/5082)? -6 What is (-4600)/(-125) + -36 - (3 + -4)*(-597)/15? -39 Calculate (-24)/(-5)*(69/(-207))/(70/75). -12/7 Evaluate (49 - 48 - (-42)/(-30)) + (-34)/(-10). 3 What is the value of (-21)/(-490)*32*483/(-39744)? -1/60 Calculate (-228 - -257) + (26 - -3). 58 Evaluate 17 + 348/(-24) + 23/2. 14 ((-25888)/480 - -43) + 11 1/15 Evaluate 4/(-60)*55*234/(-66). 13 50/25*-6 + (-5 - 13*-6) 61 Calculate 1911 + -1919 + (-1)/(-33)*24081/92. -3/44 What is ((-101)/((-15453)/204))/(16/(-36)) - 66/(-16)? 9/8 3871/(-474)*(-28)/(-21) + (10 - -1 - 0) 1/9 Evaluate ((-171)/5187)/(768/(-84) - -9). 3/13 ((-897)/23 - -25) + (6 - 35) -43 What is the value of ((-204)/(-612) + (-70)/48)*(-104)/3? 39 (-15)/6 + -6*354/(-216) 22/3 135235/54094*(118/(-10) + 1) -27 53 + -5 - ((-704)/132)/((-16)/54) 30 What is the value of (-4)/4 + 3/2 + 378/42? 19/2 ((-16)/2080)/((-1384)/4498) 1/40 ((-6)/1998*-4)/((-7896)/(-5076))*(-7 - 0) -2/37 Calculate (2087/(-8348))/(0 - 81/(-96)). -8/27 What is (255*246/9758)/18? 5/14 What is ((-12)/(-5))/(7/8 + (-54210)/15600 - -3)? 6 What is the value of ((-3)/(-10) - (-442)/(-2040))*(1273 + (7 - -4))? 107 Evaluate 204/(-30)*12250/(-700). 119 What is the value of 130/(-2) - 96*91/(-273)? -33 Evaluate 813/21 + -1 + -6 + (-396)/(-63). 38 Calculate 222/(44 - 30 - 8). 37 Calculate 22 + -15455*(-51)/(-35904). 3/64 What is the value of ((-3)/120)/(34 + 78751/(-2318)) - 1/(-1)? 1/20 Evaluate ((-6)/40)/(1011/18872)*(-30)/7. 12 Calculate -195*46/690 - 15. -28 Calculate 71/30*6 + 10
{ "pile_set_name": "DM Mathematics" }
c - -139. Solve f = 5*z + 6 for z. -1 Let d be (3 + -13 + 2)/(9 + -11). Suppose -5*c + k + 193 = 0, 0 = 3*c - 2*k + d*k - 121. Solve -42*p + c*p = 0 for p. 0 Suppose i - 868 = 23*f - 27*f, 2*i + 5*f = 1739. Solve -862 = -2*w - i for w. -5 Let h(i) = -i**2 + 17*i - 16. Let b be h(14). Let s = b + -30. Let f = s - -4. Solve 2*v + 3*v = f for v. 0 Suppose 3*p + 3*j - 336 = 0, -4*j - 76 + 416 = 3*p. Suppose 8*s + p = 14*s. Suppose 4*g = 13*g - s. Solve -5*n - 15 = -g*n for n. -5 Let u = 34 - -32. Let a = -53 + u. Suppose 12*c = a*c. Solve c*d + 5 = d for d. 5 Let m = -78 - -99. Suppose -2*v + m - 191 = 0. Let d = -63 - v. Solve -2 = -4*l - d for l. -5 Suppose -3*l = -0*l - 5*t - 31, -19 = -2*l + 5*t. Suppose -40*n = -44*n + l. Solve -f - n = -4 for f. 1 Let u = -172 - -483. Let h = u - 306. Solve -h*y + 17 = 2 for y. 3 Let m be (3 + -2)*(-340)/(-1). Suppose 6*r - m = -304. Solve r*s = 13*s + 28 for s. -4 Let c(q) = -20 + 0*q + q + 5 + 6*q. Let u be c(2). Let j be 15/(-25) + u/((-15)/39). Solve -1 + 9 = j*n for n. 4 Let z = 467 - 464. Solve z - 11 = -8*a for a. 1 Let i = -4257 + 4279. Solve i*x - 32*x = 0 for x. 0 Let c be 8463/868*(-64)/(-3). Solve 226 = -9*p + c for p. -2 Let r(q) = -7*q - 33. Let a be r(-33). Let v = -194 + a. Solve f - 9 + v = 0 for f. 5 Suppose -4*g + 3 = -17. Suppose 0 = g*q - 37 + 12. Suppose -q*z - 31 = -4*x - 3, -3*z - 4 = 4*x. Solve -6*i - 12 = -x*i for i. -3 Suppose 0 = 3*p - 4*x - 398, 39*x + 139 = p + 44*x. Solve 0 = -p*f + 143*f for f. 0 Suppose 33*x = -33*x + 462. Suppose d = 4*g - x*g - 9, 2*d = -2*g - 2. Solve 2*s - d*s = 4 for s. -4 Suppose 0 = -5*l - z + 64, z = 5*l - 73 - 3. Solve -14*r - 140 = l*r for r. -5 Let c = -6651 + 6735. Solve c*j - 83*j - 4 = 0 for j. 4 Let q = 27 + -19. Let u = 237 - 269. Let j be (2 - -4) + (u - -29). Solve q*k - j*k = 5 for k. 1 Suppose 88 = -6*a + 4. Let n be 310/(-70) + (-6)/a. Let z be (-3 - 8/n) + -1 + 2. Solve -w + 4*w = z for w. 0 Suppose -2*y = -9 - 7. Let o(d) = -d**2 + 25*d - 69. Let j be o(21). Suppose 0 = 4*p + 3*r - 14, -17*r + j*r + 14 = 5*p. Solve -p*l - y = 2*l for l. -2 Let t(v) be the second derivative of v**5/20 + 7*v**4/12 + v**3 + v**2 + 2*v. Let u(q) = q**2 + 5*q - 12. Let y be u(-6). Let w be t(y). Solve 1 = k - w for k. 3 Let a(w) = w**3 + 6*w**2 - 12*w + 10. Let i(z) = z**3 + 5*z**2 - 11*z + 9. Let j(c) = 5*a(c) - 6*i(c). Let m be j(3). Let b = -13 - m. Solve 3 = -t - b*t for t. -3 Let j(i) = 87*i - 14345. Let r be j(170). Solve 6*f - 493 + r = 0 for f. 8 Suppose -2*b - 6 = 2*u, u = 2*b - 386 + 392. Solve 31*o - 28 - 34 = u for o. 2 Let a be 318/27 - 34/(-153). Suppose a*p = -96 + 276. Solve -8*d + 3*d = p for d. -3 Let k(f) = -f - 26. Let j be k(-22). Let v(l) be the first derivative of l**3/3 - l**2 - 16*l + 2. Let q be v(j). Solve -2*o + q = -2 for o. 5 Let s = 120 - 116. Suppose -2*f = s*i - 16, 4*f - i + 16 = 3*i. Solve -4 = -4*o - f*o for o. 1 Suppose 0 = -28*t + 32*t - 16. Let p be 3 + t + 3 + 0. Solve 5*h - p*h - 25 = 0 for h. -5 Let s be (-6)/(-21) - 19*4/(-28). Suppose 2*n + s*n = -3*o + 20, -n + 4 = 2*o. Let g be 2/n*2 + 4. Solve -g = -2*a + 5 for a. 5 Let r = 14553 - 14299. Solve -5*o - 234 + r = 0 for o. 4 Let r(o) = -67*o**3 + 9*o**2 + 12*o + 2. Let p be r(-1). Solve 59*v - p*v = 21 for v. -3 Let c be (2/(-4))/(14/(-980)). Let w be c/6 - 6/(-36). Suppose 0 = -2*i + 2*g - 4, -i - 3*g + w = -8. Solve -4 - 6 = i*f for f. -5 Let j(k) be the third derivative of k**5/60 - 5*k**4/24 - 23*k**3/3 + 15*k**2 + k. Let n be j(-5). Solve -1 = -w + n for w. 5 Let m = 38 + -118. Let c = m + 82. Solve 0*d + c = d for d. 2 Suppose -101*r - 27*r + 5033 - 1065 = 0. Solve 167 - r = -34*n for n. -4 Let i(q) = q**2 + q + 3. Let o(y) = 2*y**2 + 2*y + 5. Let s(t) = -7*i(t) + 4*o(t). Let g be s(-2). Solve -3*a - 8 - g = 0 for a. -3 Let g be 1127/69 + (-12)/9. Solve g*s = s - 70 for s. -5 Let g = 594 + -468. Solve -54 = 30*b + g for b. -6 Let y be 24/((-1573)/(-546) + (-24)/9). Solve -104 = 4*i - y for i. 2 Let q be (5 - 6/(-6)) + (-3 - -3). Solve q*d - 36 = -30 for d. 1 Let s(z) = -z**2 - 23*z - 118. Let h be s(-15). Suppose 31 = -h*c + 49. Solve 2*g - 7 + c = 0 for g. -1 Let i = 11764 + -11704. Solve -23*w = -11*w + i for w. -5 Suppose -6*z + 233 = -313. Let w be 2/(-12)*-3 + z/14. Solve -w*u = 17 - 3 for u. -2 Suppose 17*q - 7050 = 2*q. Let v = q + -467. Solve -v*b + 6*b = -15 for b. -5 Let g be (1 - 2)*1 - -3. Suppose 0 = -6*q + g*q + 2*q. Let a be q/(0 - 10/(-5)). Solve a = w + w for w. 0 Let s = -981 + 996. Solve 12*v - 45 = s for v. 5 Suppose 2*z = -2*v + 4, -8 = -4*v - z + 4*z. Suppose 548 = 7*m + 520. Solve -v - m = 2*l for l. -3 Suppose -23*a - 3280 = -3*a. Let p = -162 - a. Solve -p*h + 0*h - 6 = 0 for h. -3 Let y be (1 - 70/21)/((-1)/3). Suppose 8*x - y*x + 4 = 0. Let m be 5 + x + -5 - -4. Solve -2*n + 3*n = m for n. 0 Let t = -19 - -26. Let k(g) = -4*g + 31. Let b be k(t). Suppose l = -b*l + 8. Solve -m + 2*m = -l for m. -2 Suppose -8*q = 6*q - 84. Let n be q/4*1*(-22 + 24). Solve l = n*l for l. 0 Let v(n) = -n + 0*n**2 + 4 + 3*n**2 + 11*n + n. Let x be v(-4). Suppose 9 = -x*z + 49. Solve z = r - 0*r for r. 5 Suppose 2*a - 12 = 2*o, -3*a + 4*o = -5*a + 30. Suppose a*w - 13*w + 16 = 0. Solve -w*r - 10 = 2 for r. -3 Let y(i) = -4*i**2 + 11*i - 13. Let n be y(2). Let j be ((-21)/(-2))/(((-63)/18)/n). Solve 1 = -5*m + j for m. 4 Let s be 6507/270 + (-9)/90. Solve s*r - 11*r - 39 = 0 for r. 3 Let u be (-3)/(-5) + (-14)/(-35). Let k be (4/(-6))/(4/(-6)) - u. Solve k = -3*n - 0*n for n. 0 Suppose -52 - 153 = -48*g - 13. Solve -180 + 164 = -g*c for c. 4 Suppose 67*q + 68*q - 141*q = -36. Solve -q*k + 33 = 5*k for k. 3 Suppose -27*b = -10*b + 24*b - 20541. Solve b*z - 506*z = -30 for z. 6 Let n = 6571 - 6551. Solve 0 = -n*h - 17 + 117 for h. 5 Let w be (3 - 31/(-1))/(-3 - -5). Suppose 3*b - w = 2*a, b - 5*a - 12 + 2 = 0. Solve -11 = 2*r - b for r. -3 Suppose -4*f = 4*x + 4, 4*f - 2*x = 2 - 0. Let s = 3929 + -3923. Solve -9*r + s*r + 15 = f for r. 5 Let w be ((-1)/4)/(6/(864/(-9))). Suppose 2*n - 14 - w = 0. Solve -16 = -n*j + 11 for j. 3 Suppose -31*z + 28*z + 15 = 0. Suppose 1 = 4*f + z*n, 7*f + 4*n + 4 = 5*f. Solve f = 3*y + 13 for y. -3 Suppose 8*f - 3*f + 24 = 2*j, -4*j + 4 = f. Let u be (-12712)/(-728) - 12/26. Suppose 0 = -a - 2*l - 2, -3 - u = -2*a + 4*l. Solve -2*q - j = a for q. -3 Suppose -h - 5 = t, -5*t + 562*h - 10 = 564*h. Solve -7*r - 36 + 1 = t for r. -5 Suppose 2*p = -3*q - 110, 2*p + 98 = 3*q - 0*q. Let m = -49 - p. Suppose 9*l = 7 + 83. Solve -m*f + l = -f for f. 5 Let j(a) = a**3 + 48*a**2 + 44*a - 11. Let m be j(-47). Solve -58*i + 32*i = -m for i. 5 Let s = 22 + -15. Suppose -41 = 5*w - 206. Suppose -41 = -4*h - w. Solve h*d - s = 3 for d. 5 Let j = 88 + 255. Let g = -223 + j. Solve g*a - 115*a + 10 = 0 for a. -2 Suppose 3*b = -7 + 142. Solve -35*k + 10 = -b*k for k. -1 Let k = 17 + 16. Let i = k + -72. Let u = 42 + i. Solve z - 4*z = -u for z. 1 Let x(u) be the second derivative of 16*u + 0 - u**4 + 0*u**3 + 9/2*u**2 - 1/10*u**5. Let h be x(-6). Solve 0 = -3*g - 3 - h for g. -4 Suppose -j = -0*j - 4. Suppose 0 = 2*m - j*q + 16, -q + 4 = -5*m. Let l be (7/((-35)/60))/(-1 + m). Solve -l = -0*n - 4*n for n. 3 Suppose -c - 7*r - 2 = -4*r, 0 = 5*c + r - 32. Suppose 14 = 14*o - c*o. Suppose 0 = -0*x + 4*x - 16. Solve o*n - x = -10 for n. -3 Let l be (-1 + -3)/(-1 - (-21)/24). Suppose 5*i - 18 - l = 0. Let x(d) = 2*d**2 + 35*d - 15. Let r be x(-18). Solve m + i = r*m for m. 5 Suppose 2*y - 127 = 3*y. Let g = -71 - y. Let k be 160/g*14/4. Solve -9*n + 4*n + k = 0 for n. 2 Let i be 2/14 + (-76)/95*95/(-7). Solve -6*m + 53 = i for m. 7 Let b = 18 + -13. Suppose 42*d - 18 = 102 + 6. Suppose -12 = 2*g + 4*i, -6 = -d*i + b*i. Solve g = -3*j - j + 16 for j. 4 Suppose -5*r - 121 + 146 = 5*d, 4*r + 115 = 5*d. Let v = 109 - 73. Solve 31*l = v*l - d for l. 3 Let h = -6595 + 6595. Let m(v) = -2*v - 2 + 3*v + 2*v. Let b be m(2). Solve h = -b*k - k - 5 for k. -1 Let i(s) = 10*s**2 + 47*s + 6. Let d(a) = 3*a**2 + 16*a + 2. Let q = 38 - 31. Let n(u) = q*d(u) - 2*i(u). Let g be n(-18). Solve -v - g + 6 = 0 for v. 4 Let l = -39 + 52. Suppose -l*f = -19*f + 24. Solve -7 = f*d + 13 for d. -5 Suppose -5*u - 20 + 60 = 0. Let g(l) = 2*l**2 - 10*l - 22. Let x be g(7). S
{ "pile_set_name": "DM Mathematics" }
lse Is -3 greater than -509? True Is -452 bigger than -452? False Does 1 = -44/105? False Are 26 and -0.3 nonequal? True Is 1 > -1/1402? True Is -723 < -723? False Which is smaller: -0.5 or 8/37? -0.5 Is -253 smaller than -250? True Is -3 less than -58/23? True Is -87/4 equal to -21? False Which is smaller: -0.7 or -0.5? -0.7 Is 17/180 < -1? False Is -1490 < -1490? False Is 3/736 at most as big as 0? False Is 1 less than -978? False Which is greater: -1732 or -1744? -1732 Which is smaller: -59 or -73? -73 Which is smaller: -1/257 or 1? -1/257 Is -2279/4 less than or equal to -571? False Which is smaller: -0.1 or 2/861? -0.1 Which is smaller: -127 or -253/2? -127 Which is bigger: -91 or -93? -91 Is -239 greater than 9/10? False Which is greater: -2/293 or 12? 12 Are 59/9 and 8 non-equal? True Which is greater: -4 or -740? -4 Is -35 less than or equal to -35? True Is 1068/11 greater than or equal to 98? False Is 53 smaller than 15? False Is 381 less than 0? False Which is greater: -169 or -170? -169 Is 108/2083 greater than 1? False Which is smaller: -4892 or -4893? -4893 Which is bigger: -455/6 or -75? -75 Which is smaller: -93 or -73? -93 Is 85 > 84? True Which is bigger: 149 or 148? 149 Which is bigger: -271 or -272? -271 Is 933 equal to 933? True Is -169 at least -18? False Does 1 = 39/16? False Which is smaller: -312 or -311? -312 Is 887 not equal to 879? True Is 386 < 1159/3? True Is -6/253 greater than -1? True Is -35.1 bigger than 5? False Which is greater: -0.111 or 4/5? 4/5 Which is smaller: -90/11 or -9? -9 Which is smaller: 1/8 or -1? -1 Which is bigger: 28319 or 28318? 28319 Is -357 >= -355? False Are -97 and -2812/29 unequal? True Are -2/51757 and -1 non-equal? True Which is bigger: 1 or 8/15? 1 Is 727 greater than or equal to 727? True Is -2823 greater than or equal to -2821? False Which is greater: -6525 or -6526? -6525 Which is greater: 1/3 or 1.058? 1.058 Is -1300 not equal to -1300? False Which is bigger: -0.3 or -26? -0.3 Is -2/3 less than -20? False Is 355 greater than or equal to 354? True Which is greater: 36.26 or 0.3? 36.26 Which is bigger: -1 or 887.3? 887.3 Which is smaller: 0 or -89? -89 Is -50 smaller than -36? True Is -1/34852 at most 1? True Does -1038 = -1037? False Which is smaller: -20 or -219/11? -20 Which is smaller: 1 or -2/5531? -2/5531 Which is greater: 4078 or 4080? 4080 Is 3 less than or equal to 3546? True Which is bigger: 29/51 or 1? 1 Which is greater: 72 or -50/3? 72 Is 0.5 bigger than -2/9? True Which is bigger: -150 or -38? -38 Which is smaller: -788 or -1/3? -788 Which is bigger: 53 or 55? 55 Which is smaller: -1 or -2.77? -2.77 Do -0.2 and 100/3 have different values? True Which is smaller: -0.35 or -2? -2 Is -8541 < -8541? False Is -66 less than -64? True Do -5871 and -1 have different values? True Are 22.9 and 3/5 nonequal? True Which is smaller: -30 or -0.8? -30 Which is smaller: -58/229 or 1? -58/229 Which is smaller: 39 or 6? 6 Which is bigger: -376 or 2/3? 2/3 Which is greater: 0.23 or -21? 0.23 Is 10 != 165/16? True Is -1 >= -27.91? True Do -5 and -91 have the same value? False Which is smaller: -2/2499 or -1? -1 Which is smaller: 155 or -52? -52 Which is smaller: 2261 or 2263? 2261 Is 1/4 > 53/4? False Do -140/3 and -48 have different values? True Is 4121/4 less than 1031? True Does -642 = -642? True Are 2/3057 and 1 nonequal? True Which is greater: -220 or -218? -218 Is 259 at least as big as 274? False Are 75 and 7 nonequal? True Which is greater: 16219 or 16220? 16220 Which is bigger: 67 or 0.016? 67 Is 590 <= 22? False Are 2334 and 2336 equal? False Is 28 != 16? True Which is bigger: -2586/5 or -517? -517 Do -5742 and -5745 have different values? True Which is smaller: 0 or 26/1715? 0 Is 10/421 < -0.1? False Which is bigger: -9 or -11? -9 Which is bigger: -0.1 or 4803? 4803 Is -9/9233 < 1? True Is -1415 at least -1420? True Which is greater: -17/453 or 0? 0 Which is smaller: 1 or -2/3633? -2/3633 Which is smaller: 5763 or 5762? 5762 Is 455 > 456? False Which is smaller: 12 or 9? 9 Is 6/47 at most 0? False Is 1/114 bigger than 2/31? False Is 0 <= -3/43? False Which is bigger: 3/40 or -26? 3/40 Is -265 smaller than -267? False Does -2/11 = 27.4? False Do 83 and 0.045 have the same value? False Is -1 at most as big as -60? False Which is bigger: -2 or -66/31? -2 Is 20 equal to 36? False Which is bigger: 1 or -24/77? 1 Is -6022 at least -6022? True Which is greater: -288 or -283? -283 Which is smaller: 0.108 or -16.9? -16.9 Which is smaller: 7 or 20? 7 Which is greater: 7 or -320? 7 Is -2565 at most -2567? False Is -1 equal to 1/698? False Which is greater: -1 or -829? -1 Which is smaller: 12691 or 12692? 12691 Is -824 smaller than -819? True Is 0.1 greater than -0.3? True Which is greater: 278 or 273? 278 Is 1046 at most as big as 1046? True Which is greater: -0.2 or 49? 49 Is -35 at most as big as -101/3? True Is 6896 <= 34484/5? True Is -421 < -414? True Is -3451 < -3451? False Which is smaller: 238 or -1? -1 Is -50690 greater than or equal to 0? False Is -6 at least as big as 1/18? False Is 2 less than or equal to -7? False Which is bigger: 1100 or 1099? 1100 Is 1498 smaller than 3/7? False Is -571 at most as big as -16? True Which is bigger: 1651 or 1653? 1653 Which is bigger: 4863/4 or 1? 4863/4 Is 1 greater than 17/3020? True Are -2/8099 and 1 equal? False Which is smaller: 4584/17 or 270? 4584/17 Is -12723/5 at most as big as -2544? True Which is smaller: 610/7 or 88? 610/7 Is 35 at most -17? False Which is smaller: 2/133 or -17? -17 Which is smaller: 1 or -12/155? -12/155 Which is greater: -1/9341 or 1? 1 Is 23 bigger than 21? True Are 1/4272 and 1 unequal? True Is 0 at most as big as -118/357? False Is -235 at most -235? True Is -0.01356 at least -2? True Is -0.2 < -126? False Which is smaller: 109 or -0.01? -0.01 Is -38 > -29? False Which is greater: 4/169 or 0? 4/169 Which is smaller: 505 or 501? 501 Does 0.1 = -640/7? False Which is smaller: -90/79 or 0? -90/79 Is -0.02 at least -197? True Is 1/19 < -0.07? False Which is smaller: 8536 or 8534? 8534 Is 1089 > 1088? True Does -248 = -3728/15? False Which is smaller: -1 or 26.91? -1 Which is smaller: 30 or 27? 27 Which is smaller: 227 or 128? 128 Is -11618 less than -11618? False Which is bigger: 679 or 673? 679 Which is bigger: 41 or 45? 45 Is 0.021 <= 167? True Is -1 bigger than -111/167? False Is 7/68 equal to 1? False Do -63 and -62 have different values? True Which is smaller: 1 or 73? 1 Is -2/54447 less than 0? True Which is greater: 1/3229 or 1? 1 Is 949 less than or equal to 946? False Is 2371 <= 26072/11? False Is -4/635 greater than -1? True Which is bigger: 720 or 713? 720 Which is smaller: 151 or -1? -1 Is 2/3 < -1/3? False Which is smaller: -5064 or -5065? -5065 Is 119 at most as big as 118? False Is -288 not equal to -282? True Which is bigger: 1/79 or 0? 1/79 Which is smaller: -0.145 or 5? -0.145 Is -16.5 != 3? True Which is bigger: -2340 or -2341? -2340 Is 1/40 greater than or equal to 1? False Are -141 and -145 nonequal? True Is 337 bigger than 337? False Are -1567 and 1 unequal? True Are 178 and 176 unequal? True Which is bigger: -20 or -172/9? -172/9 Is 1 at most as big as 51? True Are 94/15 and 1 unequal? True Is 192 >= 190? True Which is smaller: 3/76624 or 1? 3/76624 Is -1631 at least -1622? False Are -479 and -472 unequal? True Which is bigger: 1 or 5? 5 Is 730 less than 733? True Is -265 != -268? True Which is smaller: -1180 or -1181? -1181 Are 21 and 19 equal? False Is -5 smaller than -173? False Which is greater: -675 or -2/3? -2/3 Is 354 greater than 1? True Is 910 less than 910? False Which is greater: 4.1 or -160? 4.1 Which is smaller: -39/8 or -4? -39/8 Which is bigger: 5/207 or 1? 1 Is 187/3 equal to -1? False Which is smaller: 119 or 121? 119 Are 2/3 and -1/259 equal? False Is 211 > 210? True Which is greater: 44 or 69? 69 Which is bigger: 545 or 0.1? 545 Is 1 bigger than -33/1031? True Is 1 at most 2/4003? False Which is greater: 18 or -27? 18 Which is greater: -9591 or -9590? -9590 Does -119 = -707/6? False Which is greater: -1 or 50/103? 50/103 Are 4635 and 4635 unequal? False Which is greater: -58 or 357? 357 Which is smaller: 0 or -7/7311? -7/7311 Which is greater: 1 or -3/125? 1 Which is
{ "pile_set_name": "DM Mathematics" }
2*i**5/7 + 184*i**4/7 - 52*i**3/7 = 0. 0, 13/33, 1 Factor z**3/2 + 135*z**2/2 - 273*z/2 + 137/2. (z - 1)**2*(z + 137)/2 Suppose t**5/4 - 3*t**3/4 - t**2/2 = 0. What is t? -1, 0, 2 Factor -6*a**2 + 266*a/5 + 36/5. -2*(a - 9)*(15*a + 2)/5 Factor -5*q**3 - 45*q**2 + 105*q + 1225. -5*(q - 5)*(q + 7)**2 Find b, given that 3*b**5/5 - 6*b**4/5 + 3*b**3/5 = 0. 0, 1 Determine a, given that -3*a**2 + 9*a + 30 = 0. -2, 5 Factor -2*o**2/3 + 232*o/3 - 6728/3. -2*(o - 58)**2/3 Factor 3*i**3/7 - 31*i**2/7 + 85*i/7 - 25/7. (i - 5)**2*(3*i - 1)/7 What is u in -u**2/9 - 1678*u/9 - 703921/9 = 0? -839 Suppose -2*y**5 - 70*y**4 + 640*y**3 - 2000*y**2 + 2720*y - 1376 = 0. Calculate y. -43, 2 Factor 5*m**4 - 35*m**3 - 135*m**2 - 145*m - 50. 5*(m - 10)*(m + 1)**3 Suppose -2*j**4/5 - 142*j**3/5 - 266*j**2/5 + 702*j/5 + 828/5 = 0. What is j? -69, -3, -1, 2 Factor -5*x**2 - 605*x + 1230. -5*(x - 2)*(x + 123) Suppose 2*p**2/5 - 10 = 0. Calculate p. -5, 5 Determine x so that -7*x**5/3 - 5*x**4/3 + 1283*x**3/3 - 359*x**2/3 - 1276*x/3 + 364/3 = 0. -14, -1, 2/7, 1, 13 Find t such that -3*t**5/2 + 36*t**4 - 180*t**3 + 339*t**2 - 549*t/2 + 81 = 0. 1, 3, 18 Suppose 65*y**5 + 20*y**4 = 0. Calculate y. -4/13, 0 Factor 2*l**2/15 + 352*l/5 + 46464/5. 2*(l + 264)**2/15 What is w in -2*w**5/9 + 20*w**4/9 - 16*w**3/3 - 20*w**2/9 + 50*w/9 = 0? -1, 0, 1, 5 Factor 2*o**3/13 + 10*o**2/13 + 14*o/13 + 6/13. 2*(o + 1)**2*(o + 3)/13 Suppose -2*o**2/7 + 1854*o/7 + 1856/7 = 0. Calculate o. -1, 928 What is d in -9*d**2 + 186*d + 63 = 0? -1/3, 21 Factor -y**4 - 27*y**3 - 114*y**2 - 88*y. -y*(y + 1)*(y + 4)*(y + 22) Factor -2*h**2/15 + 158*h/15 - 52/5. -2*(h - 78)*(h - 1)/15 Factor k**3/5 + 11*k**2/5 + 32*k/5 + 28/5. (k + 2)**2*(k + 7)/5 Solve -2*a**2/3 + 2*a/3 + 4 = 0. -2, 3 Suppose -5*t**5/2 + 51*t**4/2 - 55*t**3 - 15*t**2 + 115*t/2 - 21/2 = 0. Calculate t. -1, 1/5, 1, 3, 7 Factor 2*a**4/3 - 14*a**2/3 + 4*a. 2*a*(a - 2)*(a - 1)*(a + 3)/3 Suppose b**4/6 + 133*b**3/6 + 22*b**2 = 0. Calculate b. -132, -1, 0 Factor -2*g**2/3 + 26*g/3 + 60. -2*(g - 18)*(g + 5)/3 What is q in -18*q**5 + 156*q**4 - 80*q**3 - 140*q**2 + 98*q - 16 = 0? -1, 1/3, 1, 8 Factor g**3/6 + 16*g**2/3 + 58*g/3 + 56/3. (g + 2)**2*(g + 28)/6 Suppose -3*d**4 - 20*d**3/3 - 4*d**2/3 = 0. What is d? -2, -2/9, 0 Solve -2*p**2 + 10*p + 1188 = 0. -22, 27 Determine c, given that 7*c**5/4 + 1639*c**4/2 + 929*c**3/4 - 1639*c**2/2 - 234*c = 0. -468, -1, -2/7, 0, 1 Let y**3 + 8*y**2 + 15*y = 0. Calculate y. -5, -3, 0 Suppose 10*h**3/7 - 76*h**2/7 + 88*h/7 + 48/7 = 0. What is h? -2/5, 2, 6 What is c in 2*c**2/21 + 12*c + 378 = 0? -63 Factor 3*l**3 + 237*l**2 + 912*l + 900. 3*(l + 2)**2*(l + 75) Determine b so that b**5/3 + 22*b**4/3 - 8*b**3 - 22*b**2/3 + 23*b/3 = 0. -23, -1, 0, 1 Let -3*h**4 + 12*h**3 - 9*h**2 - 12*h + 12 = 0. Calculate h. -1, 1, 2 Solve -f**2 + 318*f - 25281 = 0 for f. 159 Let -4*r**4/5 - 8*r**3 - 132*r**2/5 - 176*r/5 - 16 = 0. Calculate r. -5, -2, -1 Determine h, given that 18010*h**2 + 18005*h - 5 = 0. -1, 1/3602 Factor c**4 - 2*c**3 - 5*c**2 + 6*c. c*(c - 3)*(c - 1)*(c + 2) Let -2*t**4 - 34*t**3 + 438*t**2 + 970*t + 500 = 0. Calculate t. -25, -1, 10 Factor -4*o**5 - 36*o**4 + 448*o**3 - 1504*o**2 + 2112*o - 1088. -4*(o - 2)**4*(o + 17) Factor 5*o**2/4 + 7245*o/4 + 1810. 5*(o + 1)*(o + 1448)/4 Factor -3*y**4 - 12*y**3 - 9*y**2 + 12*y + 12. -3*(y - 1)*(y + 1)*(y + 2)**2 Factor -d**2/3 + 6*d. -d*(d - 18)/3 Factor 324*i**3 - 6012*i**2 - 2720*i - 304. 4*(i - 19)*(9*i + 2)**2 Determine v so that 4*v**5 + 24*v**4 + 20*v**3 - 48*v**2 = 0. -4, -3, 0, 1 Factor 5*a**4/4 - 145*a**3 + 855*a**2/2 - 425*a + 565/4. 5*(a - 113)*(a - 1)**3/4 Suppose -y**3/2 + 273*y**2/2 = 0. What is y? 0, 273 Let -2*w**5 + 368*w**4 - 16178*w**3 - 68812*w**2 - 87608*w - 35344 = 0. What is w? -2, -1, 94 Solve a**4/4 - 4*a**3 - 27*a**2/2 - 14*a - 19/4 = 0 for a. -1, 19 Find h, given that h**3/2 + 8479*h**2/6 + 1997511*h/2 + 665523/2 = 0. -1413, -1/3 Let 4*w**5 + 28*w**4 - 292*w**3 + 260*w**2 = 0. Calculate w. -13, 0, 1, 5 Factor 162*f**3 - 3420*f**2 + 20984*f - 29584. 2*(f - 2)*(9*f - 86)**2 Factor -4*m**3/5 - 34*m**2/5 - 16*m/5. -2*m*(m + 8)*(2*m + 1)/5 Factor 2*g**2/7 + 274*g/7 + 696. 2*(g + 21)*(g + 116)/7 Determine x, given that -3*x**5 - 84*x**4 - 408*x**3 - 246*x**2 + 411*x + 330 = 0. -22, -5, -1, 1 Factor -a**4/7 - 38*a**3/7 + a**2/7 + 38*a/7. -a*(a - 1)*(a + 1)*(a + 38)/7 Factor 6*d**4 - 20*d**3 - 16*d**2. 2*d**2*(d - 4)*(3*d + 2) Determine f so that 5*f**2 - 80*f + 275 = 0. 5, 11 Solve o**3 - 63*o**2 + 960*o + 1024 = 0. -1, 32 Factor 2*w**3/11 - 38*w/11 + 60/11. 2*(w - 3)*(w - 2)*(w + 5)/11 Solve o**4/5 + 4*o**3/5 - 6*o**2 - 20*o + 25 = 0 for o. -5, 1, 5 Let v**5/2 - 3*v**4/2 - 2*v**3 = 0. Calculate v. -1, 0, 4 Factor u**2 + 2*u. u*(u + 2) Solve 2*m**4 + 10*m**3 - 66*m**2 + 54*m = 0 for m. -9, 0, 1, 3 Determine d, given that -6*d**2/5 - 312*d/5 - 306/5 = 0. -51, -1 Factor -245*a**2 + 140*a - 20. -5*(7*a - 2)**2 Solve -7*x**5 - 117*x**4 - 365*x**3 - 355*x**2 - 48*x + 52 = 0. -13, -2, -1, 2/7 Factor 2*x**4/11 + 392*x**3/11 + 2304*x**2 + 47520*x - 104544. 2*(x - 2)*(x + 66)**3/11 Factor 4*g**2 + 172*g - 176. 4*(g - 1)*(g + 44) Let -2*p**5/5 + 28*p**4/15 - 4*p**3/3 - 8*p**2/3 + 26*p/15 + 4/5 = 0. What is p? -1, -1/3, 1, 2, 3 Find p such that -378*p**5/11 - 540*p**4/11 + 36*p**3/11 + 16*p**2 - 26*p/11 - 4/11 = 0. -1, -2/21, 1/3 Factor 2*f**2/15 - 16*f/15. 2*f*(f - 8)/15 Find b, given that 12*b**4/7 + 34*b**3/7 - 198*b**2/7 + 176*b/7 - 24/7 = 0. -6, 1/6, 1, 2 What is b in -4*b**4 + 16*b**3 + 12*b**2 - 40*b - 32 = 0? -1, 2, 4 Factor v**3 - 31*v**2 + 160*v + 192. (v - 24)*(v - 8)*(v + 1) Factor 4*w**3 + 408*w**2 - 3456*w + 7040. 4*(w - 4)**2*(w + 110) Factor -3*s**2 - 534*s - 23763. -3*(s + 89)**2 Factor 4*u**2 + 2892*u. 4*u*(u + 723) Factor -p**4/2 + 3*p**3 - 5*p**2/2 - 12*p + 18. -(p - 3)**2*(p - 2)*(p + 2)/2 Solve 81*k**5/2 + 20169*k**4/2 + 636111*k**3 + 1040103*k**2 + 965713*k/2 + 137641/2 = 0. -371/3, -1, -1/3 Factor 4*b**3 - 8*b**2. 4*b**2*(b - 2) Factor 10*v**3/3 + 334*v**2/3 + 452*v/3 + 128/3. 2*(v + 1)*(v + 32)*(5*v + 2)/3 Solve -5*n**4 + 290*n**3 + 900*n**2 + 910*n + 305 = 0. -1, 61 Suppose g**3 - 12*g**2 + 21*g - 10 = 0. What is g? 1, 10 Factor -2*v**2 + 50*v. -2*v*(v - 25) Factor n**2 - 69*n - 370. (n - 74)*(n + 5) Suppose 5*h**4 + 325*h**3 + 940*h**2 + 620*h = 0. What is h? -62, -2, -1, 0 Suppose 2*c**2/5 + 14*c/5 + 24/5 = 0. Calculate c. -4, -3 Find d, given that -28*d**5 - 48*d**4 + 772*d**3 + 1352*d**2 - 2688*d + 640 = 0. -4, 2/7, 1, 5 What is f in 2*f**2 - 152*f + 2888 = 0? 38 Solve -3*a**5/7 - 111*a**4/7 - 1278*a**3/7 - 3198*a**2/7 + 2535*a + 19773/7 = 0 for a. -13, -1, 3 Suppose -4*o**4/9 + 2*o**3 + 10*o**2/9 = 0. What is o? -1/2, 0, 5 Factor -2*k**4 + 24*k**3 - 92*k**2 + 120*k - 50. -2*(k - 5)**2*(k - 1)**2 Factor -3*t**2 + 963*t - 960. -3*(t - 320)*(t - 1) Factor -a**2/5 - 8*a - 76/5. -(a + 2)*(a + 38)/5 Factor -2*b**3 - 44*b**2 + 208*b. -2*b*(b - 4)*(b + 26) Determine j, given that -10*j**5 + 5*j**4 + 485*j**3 + 1040*j**2 - 880*j - 640 = 0. -4, -1/2, 1, 8 Factor -i**4 + 8*i**3 - 18*i**2 + 16*i - 5. -(i - 5)*(i - 1)**3 Factor -k**2/7 - 12*k/7 + 13/7. -(k - 1)*(k + 13)/7 What is g in -93*g**3/2 + 371*g**2/2 - 184*g - 2 = 0? -1/93, 2 Factor 5*h**2/2 + 5*h/2 - 105. 5*(h - 6)*(h + 7)/2 Factor -35*a**3 - 2460*a**2 - 43575*a - 12250. -5*(a + 35)**2*(7*a + 2) Let 2*k**4 - 184*k**3 + 4044*k**2 + 8648*k + 4418 = 0. What is k? -1, 47 Suppose -3*o**5 - 180*o**4 - 2511*o**3 + 5766*o**2 = 0. What is o? -31, 0, 2 Factor 2*t**3/17 + 32*t**2/17. 2*t**2*(t + 16)/17 Factor -2*t**3/5 + 102*t**2/5 + 432*t/5 + 88. -2*(t - 55)*(t + 2)**2/5 Determine w, given that -2*w**3/5 - 11*w**2/5 + 6*w/5 = 0. -6, 0, 1/2 What is q in -q**3/2 - 17*q**2/2 - 40*q - 32 = 0? -8, -1 Factor -o**3/3 - 49*o**2/3 - 800*o/3 - 4352/3. -(o + 16)**2*(o + 17)/3 Find w such that -3*w**4 + 4782*w**3 - 14328*w**2 + 14322*w - 4773 = 0. 1, 1591 Determine f, given that 2*f**3 - 38*f**2 + 148*f - 112 = 0. 1, 4, 14 Factor p**2 + 11*p - 1160. (p - 29)*(p + 40) Suppose -3*j**4 + 459*j**3 + 2346*j**2 + 3780*j + 1896 = 0. Calculate j. -2, -1, 158 Factor 5*b**3 + 420*b**2 + 11385*b + 98010. 5*(b + 18)*(b + 33)**2 Factor 5*y**5 + 10*y**4 - 20*y**3 - 10*y**2 + 15*y. 5*y*(y - 1)**2*(y + 1)*(y + 3) F
{ "pile_set_name": "DM Mathematics" }
13) + 9017/4 Simplify (4*sqrt(756))/sqrt(12) + sqrt(63) + (3 + sqrt(63))*2 + sqrt(63). 6 + 24*sqrt(7) Simplify -2 + 3 + 5 + 4 + (-4*sqrt(152))/sqrt(8). -4*sqrt(19) + 10 Simplify 1 + ((sqrt(110) - -3*sqrt(110))/sqrt(10) + sqrt(11) - -4*-3*sqrt(11)). -7*sqrt(11) + 1 Simplify sqrt(22)/(sqrt(11) + ((sqrt(77)*2)/sqrt(7) - sqrt(11))) - (0 + (sqrt(200)*1)**2). -200 + sqrt(2)/2 Simplify (4*(sqrt(704) + -1 - sqrt(704))*-2*-6 + 0)**2*4. 9216 Simplify ((sqrt(13) + 0 + sqrt(13) + 0 + 5 - (sqrt(13) + sqrt(13) + 1*-2*sqrt(13))*5) + 1)**2. 24*sqrt(13) + 88 Simplify (6*(-3 + sqrt(612))*-4*2)**2. -82944*sqrt(17) + 1430784 Simplify 2 + (-2*sqrt(539) - sqrt(539)) + sqrt(539) + -3*sqrt(528)/sqrt(3). -26*sqrt(11) + 2 Simplify sqrt(343) + (sqrt(343) - (sqrt(343) + 1 + 2)) + 1 - ((sqrt(343) + 1 + sqrt(343))*-5 + sqrt(343) + sqrt(343)*-1 + 0 + sqrt(343) + sqrt(343))**2. -21979 - 553*sqrt(7) Simplify -1 + ((sqrt(1700) + 4*1*sqrt(1700))**2 - (5 + (3*sqrt(1700) + sqrt(1700))**2)) + 1. 15295 Simplify (sqrt(288)/(sqrt(108)/sqrt(9)))/((sqrt(8) + (sqrt(8) - sqrt(32)/sqrt(4)) + sqrt(8) + sqrt(8))*1). sqrt(3)/3 Simplify ((-1*sqrt(99) - sqrt(99))*4)/((sqrt(324) - sqrt(324)*3) + sqrt(324)). 4*sqrt(11)/3 Simplify 3*(0 + sqrt(704)) + sqrt(704) - (1 + sqrt(891))*2. -2 + 14*sqrt(11) Simplify -6*(-1*sqrt(2448))**2 + sqrt(833)*-1 + 5. -14683 - 7*sqrt(17) Simplify (sqrt(48)/(sqrt(6)/sqrt(48)))/(sqrt(360)/sqrt(5) + sqrt(96)/(sqrt(12) + 1*sqrt(12))). 8*sqrt(3)/7 Simplify (-1*sqrt(48))/(-5*sqrt(400)). sqrt(3)/25 Simplify -5*((sqrt(143) + -3*sqrt(143) + sqrt(143) + sqrt(143))*3 - sqrt(143))/(sqrt(1584) + -2*sqrt(1584)). -5*sqrt(13)/12 Simplify 2*(-2 + -2*sqrt(2592))**2*-2. -41488 - 1152*sqrt(2) Simplify 2*(-1*sqrt(52)*2 + (sqrt(208)/sqrt(4)*-3 - sqrt(52)))/((sqrt(100)*2 - sqrt(100)) + sqrt(324) + -1*sqrt(324) + sqrt(4)). -2*sqrt(13) Simplify 0 + -5 + (1 + sqrt(2) + (sqrt(8)*-2)/sqrt(4))**2. -2*sqrt(2) - 2 Simplify (1*(1 + sqrt(1331) + -1 + sqrt(1331)) - (3 + (1*sqrt(1331)*4 - sqrt(1331))))**2. 66*sqrt(11) + 1340 Simplify -5*(3 + (2*(5 + sqrt(1900) + 1 + sqrt(1900)))**2 + -3). -152720 - 4800*sqrt(19) Simplify (1*sqrt(7) + sqrt(7) + -4 - sqrt(63)/(sqrt(27)/sqrt(3))) + ((sqrt(21) - (sqrt(21) - (sqrt(21) + 2*sqrt(21) - sqrt(21)))*2)/sqrt(3))**2. sqrt(7) + 59 Simplify ((0 + sqrt(208))*-4 + (1 + sqrt(208))*5 + 1)**2. 48*sqrt(13) + 244 Simplify 6*(-5 + sqrt(17)*-3 + sqrt(17)) + (-2*sqrt(68) + sqrt(68))/sqrt(4) + -4. -13*sqrt(17) - 34 Simplify -1*sqrt(28)*-1 + 1 + sqrt(252) + (sqrt(28) + 1 + 3 - (sqrt(280) + (sqrt(280) - -1*sqrt(280)))/sqrt(10)). 5 + 4*sqrt(7) Simplify 5 + (-1*(3 + -1 + sqrt(3) - sqrt(108)/sqrt(4)))**2*3. -24*sqrt(3) + 53 Simplify 3 + sqrt(112) + sqrt(112)*1 + sqrt(112) + sqrt(63) + (0 + sqrt(63)*2 - sqrt(63)). 3 + 18*sqrt(7) Simplify (sqrt(39)/(2*sqrt(3)) - (-1*sqrt(130))/sqrt(10))**2 - (-3 + 6*((sqrt(637) - (-2 + sqrt(637)))**2 - sqrt(637))). 33/4 + 42*sqrt(13) Simplify -2*(((sqrt(320) + 1)*6)**2 - (1 + sqrt(320) + 2)**2)*4*5. -449080 - 21120*sqrt(5) Simplify ((sqrt(2450) - (1 + sqrt(2450)))*-3 - (-2 + sqrt(2450))*5) + -4. -175*sqrt(2) + 9 Simplify (sqrt(88) - 5*1*sqrt(88))/sqrt(8) + (3 + sqrt(11) + -1 - (sqrt(11) - (-1 + sqrt(11) + 0))**2). -3*sqrt(11) + 1 Simplify ((2*-2*sqrt(88) + sqrt(88) - sqrt(88))/sqrt(4))/((-1*sqrt(128) - sqrt(128)) + (sqrt(72)*1 - sqrt(72))). sqrt(11)/4 Simplify (sqrt(6655)*3*3)/(sqrt(5) + (sqrt(125)*1 - sqrt(5)) - sqrt(405)*-1). 99*sqrt(11)/14 Simplify ((sqrt(168)/((sqrt(12) + 2*sqrt(12))*2))/(sqrt(22)/(sqrt(88)/(sqrt(32)/sqrt(4))))*-1)**2. 7/36 Simplify 3*((sqrt(76)*-5 - sqrt(76) - sqrt(76))*-3)/(sqrt(40)/sqrt(360)). 378*sqrt(19) Simplify 3*((sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7) + -2)**2 + (sqrt(7) - (-1 + sqrt(7)))*1 + (sqrt(175) + 2*sqrt(175) + -3 - sqrt(175) - sqrt(175))). -21*sqrt(7) + 195 Simplify (-6*2*(sqrt(252)*1 - sqrt(252)) + -2*sqrt(112) + 1*sqrt(14)/sqrt(2) + sqrt(7) + -1)**2. 12*sqrt(7) + 253 Simplify (1*sqrt(96) + sqrt(72)/(sqrt(12)/sqrt(4)))/(6*(2*sqrt(300) + sqrt(300) - sqrt(12))). sqrt(2)/28 Simplify (-4*(6*(sqrt(80) + 1) + -2 + -3*sqrt(80) + sqrt(80) + sqrt(80) + -1))**2. 1920*sqrt(5) + 32144 Simplify (6*(sqrt(363) + 0) + -2)**2 - (-1 + sqrt(3) + -2 + -5 + 0)**2. -248*sqrt(3) + 13005 Simplify (-4*(-1*sqrt(11))**2 - ((sqrt(88) - -1*sqrt(88)) + sqrt(88))/sqrt(8) - (-3 + (sqrt(99) + -2*sqrt(99) + sqrt(99))/sqrt(9))**2) + -2. -55 - 3*sqrt(11) Simplify 5*3*-6*(5*sqrt(539) - sqrt(539))**2. -776160 Simplify (1 + -3*sqrt(288)*2 + 1 + sqrt(288) + -1)**2. -120*sqrt(2) + 7201 Simplify (3*-5*(sqrt(4)/sqrt(2)*-1*-4)**2 + 0)*1. -480 Simplify -6*sqrt(108)*3 - (((sqrt(363) + 0)**2 - sqrt(363)) + sqrt(363))*-5. -108*sqrt(3) + 1815 Simplify 2*(1 + (sqrt(432) + (sqrt(432) - -2*sqrt(432) - sqrt(432)) - sqrt(432))) + (2*sqrt(432) + 1)*-2. 0 Simplify (sqrt(35)/sqrt(5)*1 - sqrt(7))*-3 - (6*sqrt(847) + -3). -66*sqrt(7) + 3 Simplify 4 + -1 + -4 + (sqrt(216) - -3*-3*sqrt(216))/sqrt(12). -24*sqrt(2) - 1 Simplify (((sqrt(117)*1)/sqrt(3))/(sqrt(300) + sqrt(300) + sqrt(300)*-1)*-5)**2. 13/4 Simplify (1*(1 + -1*sqrt(180))*4)**2. -192*sqrt(5) + 2896 Simplify ((3*-4*sqrt(130))/sqrt(10) - ((sqrt(13) + 1)*-2 + (sqrt(65)/sqrt(5) + sqrt(13))*6))**2. -88*sqrt(13) + 6296 Simplify (3 + (sqrt(17) - sqrt(612)) + -4 - (sqrt(17) - (-2 + sqrt(17))*-1 - (3 + 2*sqrt(17) - sqrt(17))))**2. -48*sqrt(17) + 628 Simplify 3 + (6*(sqrt(11)*-1)**2 - ((sqrt(11) - 2*sqrt(11)) + 1)) - ((1*sqrt(132)*-6)/(sqrt(12) + sqrt(132)/(sqrt(22)/sqrt(2))))**2. -31 + sqrt(11) Simplify 2*((sqrt(180) - (-4 + sqrt(180) + 0))**2 - (2 + (sqrt(180) - (0 + sqrt(180) + sqrt(180)))**2)). -332 Simplify (sqrt(392)/sqrt(128))/(sqrt(63)*-1) + 4. -sqrt(7)/12 + 4 Simplify 6*(2 + sqrt(704)) + (-1*sqrt(704)*-1 - sqrt(704)) + 3. 15 + 48*sqrt(11) Simplify ((-6*sqrt(136)*2)/(-1*sqrt(800)) + 3)**2*5. 36*sqrt(17) + 837/5 Simplify ((sqrt(4200) - 1*sqrt(4200)) + sqrt(4200))/(sqrt(96) - sqrt(96)*-2)*-5. -25*sqrt(7)/6 Simplify ((sqrt(108) + 2*sqrt(108) - sqrt(108) - sqrt(108) - sqrt(108))**2 + -2 + (sqrt(3) + 0)*-1 + 3)*-6. -6 + 6*sqrt(3) Simplify -1*(sqrt(833) + 5 + -2 + sqrt(833) + 1)*-3. 12 + 42*sqrt(17) Simplify ((sqrt(168)*2 - sqrt(168))/sqrt(3)*5)/(1*sqrt(288)*-2). -5*sqrt(7)/12 Simplify 4 + (4 + -2 + sqrt(1216) + sqrt(684) + 1 + 1)**2. 112*sqrt(19) + 3744 Simplify (-3*(sqrt(336) + 2*sqrt(336) - sqrt(336)))/(2*-1*sqrt(7)*-6). -2*sqrt(3) Simplify (sqrt(405)*4)/((sqrt(45)*1)/sqrt(5)) - ((3 + 1 + sqrt(125))*2)**2. -564 - 148*sqrt(5) Simplify (((sqrt(190) - (sqrt(190) + 2*sqrt(190))) + sqrt(190))*3)/(sqrt(10) - sqrt(120)/sqrt(432)). -18*sqrt(19)/5 Simplify sqrt(49)/sqrt(7)*4*-2 - ((-3*sqrt(126))/sqrt(6))/sqrt(3). -5*sqrt(7) Simplify 3*(5 + -2*-1*(sqrt(500) + 1)*-2). -120*sqrt(5) + 3 Simplify ((-5*(sqrt(98) + sqrt(98)*-1) - sqrt(98)) + 4*(sqrt(98) + 0))**2*6*-3. -15876 Simplify (sqrt(68)/sqrt(2)*6 - sqrt(136)/sqrt(100))/(sqrt(128)*6*-6). -29*sqrt(17)/1440 Simplify -4 + (sqrt(425)*-1)**2 + -3 - ((-1 + (1*sqrt(425) - sqrt(425)) - sqrt(425) - sqrt(425))**2 - 2*sqrt(425)*-1). -1283 - 30*sqrt(17) Simplify 0 + (1 + sqrt(320) + 3 + sqrt(320))**2 + (0 + sqrt(320))**2 + 2. 128*sqrt(5) + 1618 Simplify (-5*(sqrt(242)/sqrt(11) + sqrt(22)))/sqrt(176). -5*sqrt(2)/2 Simplify -3*(((sqrt(133) - (sqrt(133)*1 + sqrt(133)))/sqrt(7) + 4*sqrt(171))**2 + ((sqrt(38)*-1)/sqrt(2) + sqrt(1216) + (0 + sqrt(1216) - sqrt(1216)))**2). -9690 Simplify (-6*2*sqrt(3584))/((sqrt(8) - sqrt(8)*-2)*-1 + sqrt(8) - (sqrt(8) - (sqrt(200) + -1*sqrt(200)) - sqrt(8))) + -2. -2 + 48*sqrt(7) Simplify (((sqrt(11) - sqrt(396)) + sqrt(11))*-5 - (sqrt(88)*1 + sqrt(88))/sqrt(8)) + -2. -2 + 18*sqrt(11) Simplify -6*4*(sqrt(11) - 1*sqrt(11)) + 4*((sqrt(22)/(sqrt(10)/sqrt(5)))**2 + sqrt(11) + sqrt(11)). 8*sqrt(11) + 44 Simplify sqrt(125)*-6*-6 + -2 + (-5 + sqrt(125))**2. 148 + 130*sqrt(5) Simplify -1*((sqrt(208) - (sqrt(208) + (sqrt(208) + -1)**2*-2)) + 4*-2*sqrt(208) + 5). -423 + 48*sqrt(13) Simplify (sqrt(3240)*-2 + (-2*sqrt(320))/sqrt(8))/((1*sqrt(224))/sqrt(7)). -10*sqrt(5) Simplify (sqrt(425) + (sqrt(425) - ((sqrt(425) - (sqrt(425) + 0)) + -5)) + 3 + sqrt(425) + 3)**2. 330*sqrt(17) + 3946 Simplify ((2 + sqrt(20)/sqrt(4))*5 - -3*(sqrt(720) + sqrt(720) + 0))*-3 + 5. -231*sqrt(5) - 25 Simplify (6*((-1*sqrt(130) - sqrt(130))*5 - sqrt(130)))/(sqrt(100)/((sqrt(10) - sqrt(50)/sqr
{ "pile_set_name": "DM Mathematics" }
e g(-3). Solve u*l - 2*l = 0 for l. 0 Suppose -7*u + 4 = -5*u. Solve -u*y + 25 = -7*y for y. -5 Let z be ((-4)/(-2))/(6/3). Solve 2*k - k - z = 0 for k. 1 Let w(q) = 4*q**3 - 8*q**2 + 4*q - 1. Let t = 6 + -3. Let b(k) = 3*k**3 - 8*k**2 + 3*k - 2. Let i(f) = t*b(f) - 2*w(f). Let z be i(8). Solve 4*l = -z + 8 for l. 1 Let u = -92 + 96. Solve -u = -b - 6 for b. -2 Let f = 3 - 0. Suppose 3*h - 25 = -4*z, -23 = -2*z - f*h - 6. Suppose 0 = -n + 5*n. Solve 2*w - 4*w + z = n for w. 2 Let h(r) = -r - 3. Let v be h(-4). Suppose 3*y + 2*y - 85 = 0. Suppose 4*b - y = -3*s, 4*b + 6*s - s = 23. Solve 3*w - b*w = v for w. 1 Let v be 3 + (3 - 3/3). Solve 0 = -v*y - 5 for y. -1 Suppose 4*g = -12, -g = h - 0*h. Suppose h*z - 48 = -5*f, 5*f = -5*z + 16 + 34. Solve 3*o - 6*o = f for o. -3 Let a(w) = w**3 + 10*w**2 + w + 10. Let t be a(-10). Solve 3*b + b = t for b. 0 Suppose 0 = -15*u + 13*u + 40. Solve -4*n + 12 = u for n. -2 Let u = -47 - -57. Suppose -b = b. Solve u = -b*s + 5*s for s. 2 Let j(b) = -3*b**3 + 4*b**3 + 3*b**3 - 3*b**3 + 4*b - 1 + 5*b**2. Let h be j(-3). Solve -d + h = -0*d for d. 5 Let u = -27 - -27. Solve -6 = -u*c + 3*c for c. -2 Let m(z) = -6*z. Let s be m(1). Let q be 2/s - (-21)/9. Solve 11 = -q*c + 5 for c. -3 Suppose -5*z - 5*f = -10, 10 = -4*z - 0*f + 5*f. Suppose 2*i + 4*p + 20 = z, 3*p - p = -10. Solve -4*b + i = 12 for b. -3 Suppose -4*d = -11 - 21. Suppose -3*z + 8 = -5*u, -5*u - 40 = 3*z - 8. Let q = u + d. Solve o = 5*o + q for o. -1 Suppose 0 = -y + 5 + 6. Let d(z) = z**3 - 3*z**2 - 2*z - 7. Let x be d(4). Solve -x = -5*o - y for o. -2 Let p = 11 + -20. Let r(u) = -2*u - 12. Let f be r(p). Solve f = -0*m + 2*m for m. 3 Let w = 120 + -81. Let v = w + -28. Solve 0 = -3*n - 2 + v for n. 3 Let d = 7 + -29. Let z = d - -32. Solve -4 = -3*r - z for r. -2 Let x(t) = t + 4. Let i be x(-3). Solve 0 = -3*y - i - 2 for y. -1 Suppose -2*g - 2*c = 3*c - 30, g - 4*c - 15 = 0. Suppose 3*w - 7*w + 20 = 0. Solve w*a - 2*a - g = 0 for a. 5 Suppose 2 = r - 5*g, 3*r + 0*r - 24 = -3*g. Suppose -13 = -3*k - r. Solve 5*w - k*w + 9 = 0 for w. -3 Let s(n) be the third derivative of -n**4/24 - n**3/6 + n**2. Let x be s(-3). Let d be 2/(1 + (-3)/5). Solve -d*m + x*m = 0 for m. 0 Let t = 5 + -2. Let r be 2/3 + 1/t. Let l be 1*(2 + (r - -2)). Solve -2 + l = -3*m for m. -1 Let p(a) = a**2 - a - 4. Suppose 5*l + 17 = 32. Let h be p(l). Solve -h*c + 5*c + 3 = 0 for c. -1 Suppose -6 = c + f, 5*c - f + 8 = -4. Let p be c + 8 + 0 - 3. Solve -2*t - p - 2 = 0 for t. -2 Suppose -2*o - 3*o = 10, -46 = -4*p + 3*o. Solve m = 6*m + p for m. -2 Let r = -7 - -8. Let u = 9 - r. Solve 2*q = u + 2 for q. 5 Let x = -26 + 44. Solve -5*s - x - 7 = 0 for s. -5 Suppose -7*l + 5*l = -50. Solve -u - 4*u + l = 0 for u. 5 Let m(g) = -g**3 - 3*g**2 + 3. Let s be m(-3). Suppose -3*c + 5*q + s = -3, 3*q = 0. Solve a = 2*a - c for a. 2 Let c(x) = 3*x - 1. Let u(h) = -2*h - 2. Let j be u(-2). Let y be j/(3*6/9). Let a be c(y). Solve 5*l + 12 = a*l for l. -4 Suppose -4*x - 3 + 11 = 0. Solve -3 = 3*i - x*i for i. -3 Let t(o) = o**3 - 4*o**2 - 6*o + 3. Let h be t(4). Let r = h - -27. Solve -q + 2 = r for q. -4 Suppose 0 = 2*t + 3*r - 9, 23 + 2 = 5*t + 5*r. Solve 2*v + t = -0 for v. -3 Let d be -1 - (-3)/(12/32). Let w(p) = 4*p**2 - p. Let q be w(-3). Suppose -2*x = x - q. Solve 5*k + x = -d for k. -4 Let y = -4 - -9. Solve y*r = -17 - 8 for r. -5 Let y be -2 + 2 + (-9)/(-3). Let u be (-5 + y)*(-2 - -3). Let c be (0/2)/(u + 3). Solve c = 4*o + 2 - 18 for o. 4 Suppose -l = -z, -l + 0*l + 24 = 5*z. Suppose 2*u + 0*u = z. Solve u*w + 4 = -2 for w. -3 Let s = -38 + 42. Solve 4*q = s - 0 for q. 1 Suppose 0 = 4*u - 6*u + 22. Solve 0 = 3*t + u + 1 for t. -4 Suppose -11 = -3*k + 25. Suppose 0 = -5*n + 2*n + k. Solve 9 + 11 = -n*y for y. -5 Suppose -10 = -8*p + 6*p - 2*m, p = -2*m + 9. Solve p - 3 = 2*r for r. -1 Let b = 9 + -9. Suppose j + 25 = h + 4*h, -2*h + 3*j + 10 = b. Solve 24 = -h*l + 4 for l. -4 Let l(w) = -w**2 + 12*w - 15. Let c be l(9). Solve 6*v = 3*v + c for v. 4 Suppose -2*c - c - 4*x + 26 = 0, -4*c + 3 = -x. Let t = 1 + -1. Suppose 0 = -t*b + b - 4. Solve c*i - b = -0 for i. 2 Let a(q) = -2*q**3 - q**2 - q - 2. Let o be a(-2). Solve -o = 2*r - 5*r for r. 4 Let t = 65 + -61. Solve -2*z - t = 2*z for z. -1 Let c = 39 - 36. Solve c*b = b - 8 for b. -4 Let j(w) = 1. Let i(u) = -u - 3. Let r(l) = i(l) + j(l). Let h be r(-2). Suppose h = 4*g - 13 - 3. Solve 0 = -3*n + g*n for n. 0 Suppose -18*j = -17*j - 3. Solve -11 + 2 = j*a for a. -3 Let n be (3/6)/(1/2). Let m be (3/(-6))/(2/(-24)). Suppose -m = -4*f + 3*w, f + 4*w + w = 13. Solve 2*k - n = -f for k. -1 Suppose -4*t - 5*c - 7 = 0, 4*c = -5 - 7. Solve -3 = -t*a - a for a. 1 Suppose -10*l + 14*l - 8 = 0. Suppose 4*x - 20 = 3*o + o, -5*x + 4*o = -20. Solve -2*y - l = -x for y. -1 Let a be 0 - (-3)/(-2 + 1). Let x = 6 + a. Let t = 14 - 5. Solve -x*z + t = -3 for z. 4 Let y = 59 + -58. Solve l + y = 5 for l. 4 Suppose l + 5 = 2*g, 3*l + 2 = -1. Solve 7*x - g*x = -15 for x. -3 Let n(j) = -j**2 + 7*j + 2. Let m be n(7). Solve -6 = 2*v - m for v. -2 Let q(r) = r + 4. Let f be q(0). Let t(k) = -k**3 + 4*k**2 + 4. Let z be t(f). Solve -2*v = -3*v - z for v. -4 Suppose -x - 1 = -2*x. Let y(z) = -64*z - 126. Let l be y(-2). Solve l = -w + x for w. -1 Let g(j) = -2*j - 7 - 3*j + 4*j. Let p be g(-5). Let b be p/(-4) + (-3)/(-2). Solve b*o = -2*o for o. 0 Suppose -2*x + 60 = 2*x. Suppose -3*h - x = 2*h - 3*m, -20 = 4*h - 4*m. Suppose 1 = 3*s - y, h*s - 19 = 3*s - 5*y. Solve -10 = 7*v - s*v for v. -2 Suppose -4 = -2*r - 0. Solve -2*c = -0 - r for c. 1 Suppose 0 = -5*a - 439 - 51. Let f be (-20)/120 - a/12. Solve -h - h = f for h. -4 Let m be (-12 - (-343)/28) + (-14)/(-8). Let g be ((-8)/(-10))/(2/10). Solve 0*a + g = m*a for a. 2 Let x = -17 - -7. Let d(j) = j**2 - j + 1. Let a(s) = -s**2 + 12*s + 3. Let y(h) = a(h) + 2*d(h). Let o be y(x). Solve -l + o*l = 4 for l. 1 Let p(z) = -2*z - 4. Let w be p(-3). Let v = 1 + w. Solve -v*x + 3 = -0 for x. 1 Let y = 4 + -2. Suppose -5*u - 2*o + 28 = 0, -3*u + 3 = -y*u + 3*o. Solve 4*g = 7*g - u for g. 2 Suppose 6*c + 40 = 2*c. Let z = -8 - c. Solve -7*r = -z*r + 10 for r. -2 Let j(n) = n + 9. Let h be j(-6). Let r(k) = -k + 10. Let v be r(7). Solve v*o - 2*o = h for o. 3 Let i be 3/(-6) + (4/8)/1. Solve i = 3*h - 4*h - 5 for h. -5 Suppose 3*q + q = 12. Solve -3*f = -q - 0 for f. 1 Let i(p) = p**2 - 4*p - 17. Let l be i(7). Solve -l*g + 5 = -3 for g. 2 Let v = -11 - -13. Suppose -5 = q - v*q. Solve 5*o - q + 0 = 0 for o. 1 Suppose 3*d + 25 = 8*d. Suppose 3*t = 9, -d*i + 2*t + 17 = t. Solve -2 = i*p - 22 for p. 5 Suppose -3*q = -8*q - 15. Let k be q/(-15) + 2/(-10). Suppose k = -2*u - 2*u + 12. Solve -u*n + 0 = -6 for n. 2 Let n(t) = 4*t**3 - t**2 + 1. Let w be n(1). Suppose -3*v = -11 - w. Suppose -v = -5*x + 20. Solve -x*f = -4*f - 4 for f. 4 Let n = -2 + 47. Suppose -z + 4*f = -24, -3*f = -5*z + 24 + n. Solve -y - z = 2*y for y. -4 Let h = -110 - -113. Solve h + 17 = 5*l for l. 4 Suppose 0 = 4*h + 5*r - 49, -22 = -3*h + h - 2*r. Let b(t) = t**3 + 3*t**2. Let l be b(-3). Solve -2*s + l*s = -h for s. 3 Let p(c) = 6*c. Let w be p(2). Suppose -4*m - w = -8*m. Solve -m*z = -3 - 0 for z. 1 Suppose 0 = -5*a + 2*d, 3*a - d - 26 = -5*d. Let l = a - 0. Suppose -2*u + 3*q = -35, l*u - 2*q = -2*u + 90. Solve -p - u = 4*p for p. -5 Let w = 8 - 8. Suppose 4*r = 24 - w. Let s be r + (5 - (3 + -1)). Solve -s = -4*y + 3 for y. 3 Let a(k) = 3*k + 0*k**2 - 4*k + 5*k + k**2. Let b(u) = -2*u + 3. Let y be b(4). Let s be a(y). Solve -i + s = -0 for i. 5 Let w = 5 + -4. Suppose z - w = -0*z. Solve -5*c = -z - 24 for c. 5 Suppose -3*g - 74 = -4*j - g, -88 = -5*j + g. Let p = j - 12. Solve -4*z + p*z + 3 = 0 for z. -3 Let l(q) = -q**3 + 9*q**2 - 9*q + 6. Let f be l(8). Let g = f - -4. Solve 17 = 5*x + g for x. 3 Let q be 1 - (-2 + 5 - 2). Suppose -3*u + 26 - 8 = q. Suppose 3*s - u = -0*s. Solve c = -0 + s for c. 2 Let i(z) = z**3 + 16*z**2 + 2. Let o be i(-16). Solve -o*p - 15 = p for p. -5 Suppose -o + 54 = 2*o. Let m(i) = i**3 - 19*i**2 - 19*i - 17. Let r be m(20). Solve r*d - 6 = -o for d. -4 Let i(d) = d + 9. Let a be i(6). Solve -a = 3*k - 6 for k. -3 Let h be 2/7 + (-26)/(-7). Suppose 2*n - 3*m = 3*n - 21, 0 = -4*n + 4*m + 68.
{ "pile_set_name": "DM Mathematics" }
What is 347 to the power of 1/2, to the nearest integer? 19 What is the square root of 621 to the nearest integer? 25 What is the third root of 19343 to the nearest integer? 27 What is the third root of 11083 to the nearest integer? 22 What is the third root of 849 to the nearest integer? 9 What is the ninth root of 871 to the nearest integer? 2 What is 1105 to the power of 1/2, to the nearest integer? 33 What is 8052 to the power of 1/2, to the nearest integer? 90 What is the square root of 4138 to the nearest integer? 64 What is the third root of 37475 to the nearest integer? 33 What is 672 to the power of 1/9, to the nearest integer? 2 What is 20796 to the power of 1/2, to the nearest integer? 144 What is 1481 to the power of 1/10, to the nearest integer? 2 What is the third root of 789 to the nearest integer? 9 What is 4538 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 9881 to the nearest integer? 3 What is the seventh root of 681 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
. Which is the smallest value? (a) d (b) m (c) 2/13 b Let w = 5.4 + -5. Suppose 4*n - 13 = 3. Suppose k + 20 = -n*k. Which is the third smallest value? (a) w (b) k (c) -3 a Let k = 0.173 + -0.073. Which is the third smallest value? (a) 0.5 (b) 1/5 (c) k a Let j = -3.1 + 3.3. Let s = -3 + 5. Let r = 0 - s. What is the second smallest value in r, 3, j? j Let x = 0.8 - 0.5. Let m = 0.1 - x. Let s = -71.1 - -71. What is the third smallest value in 2, s, m? 2 Let i = -1.1 - -1.1. Which is the second smallest value? (a) i (b) -2 (c) -0.1 c Let i(u) be the third derivative of -u**5/60 + u**3/6 - u**2. Let w be i(3). Let x be (-1)/(-4) - 22/w. Which is the biggest value? (a) 2 (b) x (c) -2/7 b Let s = 42 - -68. Suppose j - 2 = -j, 2*j = -3*d - 4. Let h be ((-216)/s - d)*-5. Which is the third biggest value? (a) h (b) 0.2 (c) -5 c Let u be 17/18 - (-2 + 3). Let s = u - 31/90. What is the smallest value in s, 0.2, 0? s Let d = 0.9 - -0.1. Let o = 1.5 - d. Let q be ((-12)/(-54))/(2/(-3)). Which is the second smallest value? (a) -1/8 (b) o (c) q a Let y = 202804 - 2229104/11. Let k = -158 + y. What is the biggest value in k, -3/4, -4? k Let q = -19 - -14. Which is the second biggest value? (a) q (b) 1/8 (c) -1/5 c Suppose 0 = 2*z + k - 6*k - 25, -20 = -2*z + 4*k. Let r = -1.9 + 2. Which is the biggest value? (a) z (b) -5 (c) r c Suppose 15 = z - 6*z. Let r = 104 - 101. Which is the smallest value? (a) -1 (b) z (c) r b Let q = 7/8 + -29/24. Let i(u) = 4*u + 28. Let o be i(-8). Which is the second smallest value? (a) q (b) o (c) 2 a Let m = 20432/21527 + -2/1133. Let k = -125/152 + m. What is the second smallest value in k, 0.3, -0.4? k Suppose d + 3 = 2. Let p = -12 - -17. What is the biggest value in d, 3/5, p? p Let m be (4 - 25)/7 - 2. Let k = -70 + 50. What is the second biggest value in -0.5, k, m? m Let p = -163/4 + 41. Let l = 4.92 - -0.08. Which is the second smallest value? (a) p (b) 0 (c) l a Let z = -5.46 + 5.5. What is the fourth smallest value in -1/6, z, 2/7, 1/5? 2/7 Let q = 7.56 + -7.5. What is the second biggest value in 1/6, -0.2, 4, q? 1/6 Let f = 133.8 + -134. Which is the second smallest value? (a) 1 (b) f (c) -5 (d) 0.5 b Let q = -0.2 - -2.5. Let z = -0.7 - q. What is the third biggest value in 4/7, -2/13, z? z Let n be 2113/56 + (-7)/(-56). Let f = n + -38. Let a be 48/(-70) - 4/(-10). What is the smallest value in 5, a, f? a Let y = 35.7 - 36. Which is the second biggest value? (a) y (b) 0.3 (c) 6 b Let g = -0.463 + 0.063. What is the smallest value in 9, g, -4? -4 Let r = 47 + -50. What is the third biggest value in r, 5, 0.3, -10? r Let g = 64 - 64.4. Which is the biggest value? (a) 2/9 (b) 1/6 (c) g (d) 0.4 d Let z = 160 - 1122/7. What is the biggest value in z, -5/6, 2? 2 Let q be (-48)/15 - (-30)/10. Suppose 2*h + 3 - 9 = 0. What is the biggest value in h, q, -2/7? h Let t = -40 - -35. Which is the second smallest value? (a) 0.5 (b) -0.3 (c) t b Let q be 14*(2 - 1) + 2. Let u = -10 + q. Let i be (u/9)/((-20)/(-6)). Which is the third smallest value? (a) i (b) -0.4 (c) 3 c Let p = -37.38 - -38. Let b = p + -0.22. What is the third smallest value in 1/5, b, -7? b Let v = 5 + -24/5. Which is the smallest value? (a) 1/6 (b) 1 (c) v a Let g = 25/161 + -2/161. Suppose 0 = -4*s - 5*l - 283, 3*s - l + 219 = 2*l. Let n = 357/5 + s. Which is the biggest value? (a) g (b) -0.5 (c) n a Let i = -7 - -10. Let f = 2 + -4. Let n = f + -1. Which is the second biggest value? (a) n (b) -2 (c) i b Let y = -2 - -1.9. Let l(r) = r**2 - 2*r - 5. Let d be l(4). Suppose -m = -5, -d*j + 30 = -4*j + 5*m. Which is the biggest value? (a) -3 (b) y (c) j b Let l be ((-2)/(-60))/((-2)/(-8)). Let d be ((-6)/(-14))/((-10)/(-35)). Which is the third smallest value? (a) d (b) l (c) -5/4 a Let u be (-1)/((-12)/(-2986)) + 1. Let m = -631/3 - u. Let j = m + -36. Which is the smallest value? (a) 0.3 (b) 2 (c) j a Let l = -38 + 40. What is the smallest value in l, -1, -0.13? -1 Let b = 2 - 2. Let k = b + -0.1. Let o = 0.1 + k. What is the biggest value in 1, 4/3, o? 4/3 Let h = -55/4 + 14. Let r be ((-3)/(-6))/(2/(-16)). Let v(o) = o**3 + 5*o**2 + 4*o + 2. Let a be v(r). What is the second biggest value in a, h, -5? h Let c = -3 - -8. Let l = 101 - 106.1. Let u = l + c. What is the biggest value in 1/8, u, -2? 1/8 Suppose -q + 10 = 2*v, v = 4*v - 4*q - 37. Which is the fourth smallest value? (a) 2/17 (b) v (c) -1/5 (d) -1 b Let q = -0.2 + 4.2. Suppose 5 = -4*l + g, -4*l - 3*g + 25 = 2*g. Suppose -4*n + l*n + 20 = 0. Which is the second biggest value? (a) n (b) 0 (c) q c Let k = 19 - 20. What is the second biggest value in -5, -1/5, k? k Let j = -6 - -6. Suppose 4*x + 4 = -j. What is the smallest value in 1/4, x, 4? x Let q = -3.29 + -0.71. Which is the smallest value? (a) -0.5 (b) 0.1 (c) q (d) -3 c Let k = 5 + -1. Let y = -1.58 - -1.88. What is the smallest value in -4, k, y? -4 Let y = 17/90 - 1/45. What is the biggest value in 0.1, y, 1/5? 1/5 Let v(m) = 31*m - 5. Let y be v(5). Let p be -10*(-4)/y*3. Let g = 0.9 + -0.5. Which is the biggest value? (a) 0.2 (b) g (c) p c Suppose 3*f + 12 = -0*f + p, 0 = -f - 4*p + 9. What is the biggest value in 4, -1/8, f, -0.1? 4 Let v be 35/20*1/(6/(-8)). Which is the third biggest value? (a) 0.2 (b) v (c) -4 c Let s be 26/117 + 35/(-36). Which is the third biggest value? (a) 0 (b) 2 (c) s (d) -0.2 d Let f = -2 + 1.5. Let w = -7 + 9. Let o be 4 - -1*w/2. Which is the biggest value? (a) f (b) -4 (c) o c Let n = -218 + 1961/9. Let x be 146/(-255)*12/8. Let f = 1/17 + x. Which is the biggest value? (a) 0.4 (b) f (c) n a Let d = 20 + -18. Which is the third smallest value? (a) d (b) -0.4 (c) 3 c Let x = 93 + -93. What is the fourth smallest value in -1, 4, x, 0.5? 4 Let n = 37 + -36.7. Let w = 2.7 - -0.3. What is the third biggest value in 0, w, n? 0 Let l = 2/681 + -713/10896. Which is the third smallest value? (a) 2 (b) l (c) -4 a Let o = 0.074 - 0.574. Let g = 0.3 - 0.5. What is the third smallest value in g, -3/8, o? g Let k = -9 + 14. Let a = -3 + k. What is the biggest value in -1/5, -10, a? a Let i = 15.7 + 0.3. Let g = i + -11. Which is the second biggest value? (a) 0 (b) 3 (c) g b Let z = 55 - 60. Which is the smallest value? (a) z (b) 0.5 (c) -28 c Let r = 11 + -16. What is the third smallest value in -4, 5, r? 5 Let l = -8 - -12. Let g = l + -4.2. Let u = 0.4 + g. What is the third biggest value in 0, 4/3, u? 0 Let r = -0.58 - -0.69. Let t = 7/16 + -1/112. What is the biggest value in t, 3, r? 3 Let w = 0.13 - -0.07. Let s = w + 0.1. Which is the second smallest value? (a) -2/17 (b) s (c) -0.5 a Let x = -9.924 - 0.076. Let z = 0 + 0.2. What is the second biggest value in -0.4, z, x? -0.4 Let n = 28 + -24. What is the second smallest value in n, -7, 2? 2 Suppose v - r = -4, -v + 4*r - 8 = 8. What is the third biggest value in -6/11, -0.3, v? -6/11 Let n = -11.9 - -12. Let u = -1.7 - -2. Which is the second biggest value? (a) n (b) u (c) 0 a Suppose 5*o + 20 + 0 = 0. Let v = 2.2 - -0.3. Let w = v - 3. Which is the third biggest value? (a) w (b) o (c) 1/4 b Suppose 0 = 2*t - 6, -n + 3*t = 3*n + 117. Let k = n + 188/7. Which is the second smallest value? (a) k (b) 2 (c) 5/4 c Suppose 11 = -4*r - 2*f - 3, -4 = -4*f. Suppose -v + 14 = x, 4*v + v - 3*x - 110 = 0. Which is the second smallest value? (a) 3/2 (b) r (c) v a Let f = 3.6 - 1.6. What is the second smallest value in 0.08, -3/8, f? 0.08 Let h be 73*(-1)/70 - -2. Let s = h + -6/7. Let k = 48 - 145/3. Which is the second biggest value? (a) s (b) k (c) 1 a Let a be (1/(-2))/(2/(-4)). Let u = -141 + 145. What is the third biggest value in a, 5, u? a Let t = 0.1 + -0.3. Let u = 12 + -12. Which is the second smallest value? (a) u (b) -0.02 (c) t b Suppose -2*s - 2 = -4. What is the smallest value in -4, -0.3, s? -4 Let t(l) = -3*l - 1. Let k be t(-3). Suppose -k = o - 3. Let f = 6 - 6.3. What is the third smallest value in f, o, -2? f Let z = -0.47 + -11.63. Let x = -12 - z. Which is the third biggest value? (a) -5 (b) 1/4 (c) x a Let u = -1.1 - -1. Let f = -5 + 1. What is the smallest value in -0.2, f, u? f Let v = -0.4 + 1.2. Let y = -1 + v
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of 518354. 2, 259177 What are the prime factors of 545277? 3, 181759 What are the prime factors of 832137? 3, 103, 2693 List the prime factors of 715922. 2, 311, 1151 List the prime factors of 6301208. 2, 41, 19211 What are the prime factors of 547300? 2, 5, 13, 421 What are the prime factors of 1675337? 919, 1823 List the prime factors of 3256061. 17, 191533 What are the prime factors of 133688? 2, 17, 983 What are the prime factors of 10453839? 3, 11, 316783 What are the prime factors of 2728116? 2, 3, 75781 List the prime factors of 305264. 2, 19079 List the prime factors of 8834500. 2, 5, 17669 What are the prime factors of 201418? 2, 7, 14387 What are the prime factors of 12657586? 2, 6328793 What are the prime factors of 88724? 2, 41, 541 List the prime factors of 1843380. 2, 3, 5, 7, 11, 19 What are the prime factors of 3731936? 2, 13, 8971 List the prime factors of 3860383. 3860383 What are the prime factors of 5241447? 3, 23, 25321 What are the prime factors of 6235862? 2, 131, 23801 What are the prime factors of 399833? 7, 57119 List the prime factors of 122133. 3, 11, 3701 List the prime factors of 155356. 2, 38839 List the prime factors of 421469. 421469 List the prime factors of 6239778. 2, 3, 197, 5279 What are the prime factors of 126655? 5, 73, 347 List the prime factors of 522223. 13, 17, 139 List the prime factors of 2225370. 2, 3, 5, 7, 10597 List the prime factors of 17984903. 79, 251, 907 List the prime factors of 773665. 5, 154733 List the prime factors of 1474708. 2, 29, 12713 List the prime factors of 975393. 3, 108377 List the prime factors of 511184. 2, 43, 743 What are the prime factors of 6673672? 2, 491, 1699 What are the prime factors of 6821284? 2, 17, 100313 List the prime factors of 11907207. 3, 13, 101771 What are the prime factors of 24223331? 11, 2202121 List the prime factors of 168628. 2, 42157 What are the prime factors of 1029404? 2, 257351 List the prime factors of 158258. 2, 53, 1493 List the prime factors of 22400968. 2, 17, 9689 What are the prime factors of 274351? 7, 11, 509 List the prime factors of 222918. 2, 3, 53, 701 What are the prime factors of 946248? 2, 3, 89, 443 What are the prime factors of 138573? 3, 89, 173 What are the prime factors of 169890? 2, 3, 5, 7, 809 What are the prime factors of 33904671? 3, 11301557 What are the prime factors of 4001428? 2, 1000357 List the prime factors of 239141. 7, 127, 269 List the prime factors of 20644267. 7, 151, 19531 List the prime factors of 709027. 11, 43, 1499 What are the prime factors of 189567? 3, 7, 17, 59 What are the prime factors of 1750590? 2, 3, 5, 53, 367 List the prime factors of 27286043. 53, 514831 List the prime factors of 11824697. 11824697 List the prime factors of 2249708. 2, 562427 List the prime factors of 1831250. 2, 5, 293 What are the prime factors of 828961? 7, 118423 What are the prime factors of 1259822? 2, 109, 5779 What are the prime factors of 979304? 2, 163, 751 What are the prime factors of 2487241? 67, 37123 What are the prime factors of 27856853? 47, 53, 211 List the prime factors of 10215727. 79, 129313 List the prime factors of 258355. 5, 163, 317 What are the prime factors of 238630? 2, 5, 7, 487 What are the prime factors of 6320435? 5, 11, 31, 337 List the prime factors of 71063. 179, 397 What are the prime factors of 5296381? 31, 170851 What are the prime factors of 922947? 3, 17, 18097 What are the prime factors of 7141507? 1181, 6047 What are the prime factors of 787896? 2, 3, 31, 353 List the prime factors of 8033933. 8033933 List the prime factors of 3604964. 2, 11, 81931 List the prime factors of 115232. 2, 13, 277 List the prime factors of 1981732. 2, 495433 What are the prime factors of 15185277? 3, 47, 35899 What are the prime factors of 404205? 3, 5, 26947 List the prime factors of 558843. 3, 109, 1709 List the prime factors of 1993904. 2, 11, 11329 What are the prime factors of 1342287? 3, 149143 List the prime factors of 128059. 79, 1621 What are the prime factors of 94877? 17, 5581 List the prime factors of 18884642. 2, 7, 31, 53, 821 What are the prime factors of 7629835? 5, 1525967 List the prime factors of 3316426. 2, 1658213 List the prime factors of 952353. 3, 105817 List the prime factors of 414359. 11, 139, 271 What are the prime factors of 4081681? 151, 27031 What are the prime factors of 2161817? 7, 53, 5827 List the prime factors of 186573. 3, 62191 What are the prime factors of 234702? 2, 3, 13, 17, 59 What are the prime factors of 6554014? 2, 41, 257, 311 What are the prime factors of 1322078? 2, 43, 15373 What are the prime factors of 595210? 2, 5, 7, 11, 773 List the prime factors of 4937614. 2, 11, 103, 2179 What are the prime factors of 4612162? 2, 2306081 What are the prime factors of 2087630? 2, 5, 191, 1093 List the prime factors of 480677. 23, 20899 List the prime factors of 2801930. 2, 5, 19, 14747 List the prime factors of 5426605. 5, 37, 29333 List the prime factors of 310374. 2, 3, 43, 401 What are the prime factors of 1903197? 3, 523, 1213 List the prime factors of 393493. 43, 9151 List the prime factors of 4116160. 2, 5, 19, 677 List the prime factors of 230483. 11, 23, 911 What are the prime factors of 334125? 3, 5, 11 List the prime factors of 1510673. 37, 40829 What are the prime factors of 10456290? 2, 3, 5, 13, 331 List the prime factors of 769858. 2, 73, 5273 List the prime factors of 159425. 5, 7, 911 List the prime factors of 214997. 163, 1319 What are the prime factors of 37836? 2, 3, 1051 List the prime factors of 359153. 359153 List the prime factors of 203444. 2, 181, 281 List the prime factors of 141092. 2, 7, 5039 List the prime factors of 566174. 2, 7, 37, 1093 List the prime factors of 5265181. 139, 37879 What are the prime factors of 286050? 2, 3, 5, 1907 What are the prime factors of 3970770? 2, 3, 5, 107, 1237 List the prime factors of 988769. 613, 1613 What are the prime factors of 11879927? 3203, 3709 What are the prime factors of 3597717? 3, 523, 2293 List the prime factors of 133060. 2, 5, 6653 What are the prime factors of 17795644? 2, 787, 5653 List the prime factors of 3457809. 3, 42689 List the prime factors of 1537069. 103, 14923 What are the prime factors of 2342388? 2, 3, 29, 53, 127 What are the prime factors of 830340? 2, 3, 5, 7, 659 List the prime factors of 3004788. 2, 3, 241, 1039 What are the prime factors of 112651? 7, 11, 19 List the prime factors of 687926. 2, 343963 What are the prime factors of 280985? 5, 56197 What are the prime factors of 4853457? 3, 7, 41, 1879 What are the prime factors of 300687? 3, 73, 1373 List the prime factors of 436921. 661 List the prime factors of 697443. 3, 383, 607 List the prime factors of 1937684. 2, 7, 69203 List the prime factors of 3252628. 2, 813157 What are the prime factors of 158726? 2, 19, 4177 List the prime factors of 1368551. 17, 19, 223 What are the prime factors of 1477020? 2, 3, 5, 103, 239 List the prime factors of 716864. 2, 23, 487 What are the prime factors of 4622458? 2, 61, 37889 List the prime factors of 456741. 3, 19, 2671 List the prime factors of 218177. 19, 11483 What are the prime factors of 395963? 31, 53, 241 What are the prime factors of 1423527? 3, 7, 53, 1279 What are the prime factors of 2260392? 2, 3, 19, 4957 What are the prime factors of 39075? 3, 5, 521 What are the prime factors of 80977? 13, 6229 List the prime factors of 86919. 3, 7, 4139 List the prime factors of 282823. 151, 1873 What are the prime factors of 606384? 2, 3, 4211 List the prime factors of 8476279. 7, 1210897 List the prime factors of 1678806. 2, 3, 43, 241 What are the prime factors of 9292? 2, 23, 101 What are the prime factors of 482906? 2, 241453 List the prime factors of 5639362. 2, 2819681 List the prime factors of 272997. 3, 10111 What are the prime factors of 883682? 2, 441841 What are the prime factors of 15825? 3, 5, 211 What are the prime factors of 272536? 2, 11, 19, 163 What are the prime factors of 1768797? 3, 29, 251 List the prime factors of 14096497. 41, 343817 What are the prime factors of 340672? 2, 5323 What are the prime factors of 102271? 13, 7867 List the prime factors of 14075930. 2, 5, 11, 11633 List the prime factors of 881346. 2, 3, 146891
{ "pile_set_name": "DM Mathematics" }
implify (sqrt(2057) - (2*sqrt(2057)*-1)**2 - sqrt(2057)*-1*3)*-4. -176*sqrt(17) + 32912 Simplify -3 + (0 + sqrt(192) + sqrt(192))**2 + sqrt(192) + 5 - (0 + (-1*sqrt(192) + sqrt(192) - sqrt(192))*2)**2. 2 + 8*sqrt(3) Simplify (-5*1*sqrt(684)*1 - (0 + sqrt(684) + -2 + 1*(0 + sqrt(684))))**2. -168*sqrt(19) + 33520 Simplify (sqrt(15) + 1*sqrt(375) - sqrt(15))/sqrt(3)*-1 + 2. -5*sqrt(5) + 2 Simplify 5*(3*sqrt(4455))/sqrt(405). 15*sqrt(11) Simplify 4*((sqrt(1440)*2)/(1*sqrt(125)))**2. 4608/25 Simplify -5 + sqrt(14)/((sqrt(84)/sqrt(2))/sqrt(6)) - sqrt(10)/(sqrt(45)*-5)*-1. -5 + 14*sqrt(2)/15 Simplify (3*(-1*(sqrt(128) + -1) + sqrt(128)) - (0 + 1*sqrt(128) + sqrt(128))*-4)**2. 384*sqrt(2) + 8201 Simplify (sqrt(2700)*-1*1)/(2*sqrt(225)*5) + 4. -sqrt(3)/5 + 4 Simplify sqrt(15)/(5*(sqrt(6)/sqrt(2) + sqrt(3))) + -5 - (-5*((sqrt(245) - (-1 + sqrt(245))) + sqrt(245))**2 + (sqrt(245)*1*-2 - sqrt(245))**2). -980 + 701*sqrt(5)/10 Simplify -5 + -2 + (1 + sqrt(252) + (3 + sqrt(252) + sqrt(252) - sqrt(252)))**2 + 2. 96*sqrt(7) + 1019 Simplify -3 + sqrt(1872) + -3 + sqrt(1872) + 1 + 0. -5 + 24*sqrt(13) Simplify ((sqrt(77) + (sqrt(77) - ((sqrt(77) - sqrt(77)*-3) + sqrt(77))))*1 + sqrt(77))/(5*sqrt(396) - sqrt(396)). -sqrt(7)/12 Simplify -2 + ((sqrt(180) + sqrt(180) + -1)*6)**2 + (1 + sqrt(180))*-2. -876*sqrt(5) + 25952 Simplify ((-6*(sqrt(24)/(sqrt(12) + sqrt(48)/sqrt(4)) + sqrt(2)) - (sqrt(24)/sqrt(4) + sqrt(6))/sqrt(3)*1) + -5)**2. 110*sqrt(2) + 267 Simplify 5 + 0 + sqrt(1584) - sqrt(1584) - (-3 + 3*sqrt(1100)). -30*sqrt(11) + 8 Simplify (sqrt(68) + sqrt(68)*-2*-2 + sqrt(68) + (sqrt(68)*1 + -4)**2)*2. -8*sqrt(17) + 168 Simplify ((-5 + (sqrt(396) + -3 + 0 - ((sqrt(396) - (sqrt(396) - (sqrt(396) + -1 + 1 + sqrt(396)))) + sqrt(396))))*-1)**2. 192*sqrt(11) + 1648 Simplify (((sqrt(405) - 2*sqrt(405))*-5)/(sqrt(225) - ((sqrt(225) + sqrt(225)*3 + sqrt(225) - sqrt(225) - sqrt(225) - sqrt(225)) + sqrt(225))))**2. 45/4 Simplify 4*(sqrt(11)*2 + -5 - sqrt(11)) + 1*(-4*sqrt(891))**2. 4*sqrt(11) + 14236 Simplify (2*3*-5*(0 + sqrt(832)))**2 + 0. 748800 Simplify (-3*((0 + sqrt(1584) + 4 - sqrt(1584)) + 1 + 1))**2. 324 Simplify -5*(sqrt(567) + -2) + -1 + sqrt(35)/sqrt(5) + 3. -44*sqrt(7) + 12 Simplify (-5*(sqrt(243)*1*-5 - sqrt(243)*2*-2))**2. 6075 Simplify (sqrt(6)/(2*sqrt(2)) + 5*(sqrt(3) + sqrt(9)/sqrt(3)) + (sqrt(15)/sqrt(80) - (sqrt(3) - (1*sqrt(75) - sqrt(3)))))**2*2. 9075/8 Simplify ((sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (sqrt(1216) + 2))*-1)) + sqrt(1216))**2 - sqrt(1216) - (sqrt(19) + 1*sqrt(19))**2*4*-5. -40*sqrt(19) + 2740 Simplify (sqrt(160)*-4)/(sqrt(320)*1). -2*sqrt(2) Simplify (5 + 2*sqrt(425) + sqrt(425)*3*4 + sqrt(425))**2*-6 + -4. -573904 - 4500*sqrt(17) Simplify ((sqrt(1664) + sqrt(1664)*3)*2)/(sqrt(32)*-2 + (sqrt(72)/sqrt(3) - sqrt(24))/sqrt(12)). -8*sqrt(13) Simplify (-5 + sqrt(187)/sqrt(44) + -5)**2 + -3*-1*sqrt(1377) + 2. 17*sqrt(17) + 425/4 Simplify ((4*(sqrt(475) + 0))**2 - (2 + 2*sqrt(475))) + -5. -10*sqrt(19) + 7593 Simplify (sqrt(78)*-3*-4)/sqrt(6) + sqrt(156)/sqrt(3) + sqrt(26)/(sqrt(2)*-1). 13*sqrt(13) Simplify 1*(2*sqrt(75) + sqrt(75))**2 + 1*(-3 + sqrt(75)). 5*sqrt(3) + 672 Simplify -4*(2*sqrt(13) + sqrt(13)) + sqrt(65)/(sqrt(5)*-2) - ((sqrt(65)/sqrt(5))**2*6 + ((sqrt(156) - sqrt(156)*2) + sqrt(156) - sqrt(156))/sqrt(12)). -78 - 23*sqrt(13)/2 Simplify (3 + (2*(0 + sqrt(1300) + sqrt(1300)))**2)*-4*4*4. -1331392 Simplify -3*(sqrt(19) + -4 + (sqrt(152)/sqrt(8))**2 + 6*(sqrt(19) + 2))*3. -63*sqrt(19) - 243 Simplify (sqrt(91)*-1 + sqrt(91) + sqrt(91))/sqrt(7)*-3 - (-2*sqrt(1053)*-6)**2. -151632 - 3*sqrt(13) Simplify (4*(sqrt(33)/sqrt(3)*3 + -5) - 6*(-3 + (sqrt(11) - 1*sqrt(1100))))**2. -264*sqrt(11) + 47920 Simplify -3 + (0 + sqrt(5))*4 + sqrt(40)/sqrt(2) + -5*5*sqrt(5)*-1*-5. -119*sqrt(5) - 3 Simplify ((sqrt(50)/sqrt(5))/sqrt(2) + sqrt(240)/sqrt(3))**2 + 0. 125 Simplify -5*(((-1 + sqrt(1900) - sqrt(1900))*2)**2 - 4*sqrt(1900)*6). -20 + 1200*sqrt(19) Simplify (sqrt(90)/((sqrt(2) + sqrt(6)/sqrt(3) - sqrt(2)) + sqrt(2)))/sqrt(9)*3 + -2. -2 + 3*sqrt(5)/2 Simplify (sqrt(55)/sqrt(5) + -4 + sqrt(11))*-1 - (sqrt(88)/sqrt(2) + -5 - sqrt(44)). -2*sqrt(11) + 9 Simplify -1*2*(-4*-2*sqrt(243)*-1 + -1). 2 + 144*sqrt(3) Simplify (5 + ((sqrt(52)/sqrt(4))**2 - sqrt(13)) + sqrt(13))*1 + (-4*(sqrt(13) + -1) - (1 + sqrt(52)/sqrt(4) + sqrt(13) - sqrt(13)))**2. -30*sqrt(13) + 352 Simplify (((sqrt(78) - (sqrt(78) - (sqrt(78) - (sqrt(78)*2 - sqrt(78))))*1) + sqrt(78))/(3*sqrt(48)/sqrt(8)))**2*4. 52/9 Simplify -6*(0 + sqrt(704))*2 + 4. -96*sqrt(11) + 4 Simplify 2*(sqrt(3200) + sqrt(3200) + sqrt(3200)*-3 - sqrt(50))/(sqrt(20)/sqrt(2)*2). -9*sqrt(5) Simplify ((sqrt(325) + 0 + -1)*5 + -3*-5*(sqrt(325) - (sqrt(325) + sqrt(325) + 2)))**2. 3500*sqrt(13) + 33725 Simplify -2 + sqrt(117)*-2 + (sqrt(208) + -1 - 6*(sqrt(13)*-1)**2) + -5. -86 - 2*sqrt(13) Simplify (-1*2*sqrt(1470))/(-3*sqrt(1000)*-2). -7*sqrt(3)/30 Simplify (sqrt(98) + 0 + sqrt(98) + 4)**2 + sqrt(98) + (sqrt(3872) + (3 + sqrt(3872) - sqrt(3872)))**2. 383*sqrt(2) + 4289 Simplify (-3*(sqrt(88) + (sqrt(88) - 2*sqrt(88)))*6)/(sqrt(968)*1*3). 0 Simplify (sqrt(85) - (sqrt(85) + -2*sqrt(85))*-5)/(sqrt(45)*-2) - ((sqrt(17) - (sqrt(68)/sqrt(4))**2)*-3 - (sqrt(68) + sqrt(68)*-1 - sqrt(68))/sqrt(4)). -51 + 8*sqrt(17)/3 Simplify -2 + (6*2*sqrt(121))/((sqrt(99)*-1)/sqrt(9)). -12*sqrt(11) - 2 Simplify (-5*sqrt(1280))/sqrt(10) + -5 + (2*sqrt(8) - sqrt(8))/sqrt(4). -39*sqrt(2) - 5 Simplify -4*((sqrt(13) + 1 + (sqrt(26)/sqrt(2) - sqrt(13)) - (sqrt(13) - (sqrt(13) + (sqrt(78)*2)/sqrt(6))))**2 - sqrt(1872)*-2*1). -472 - 120*sqrt(13) Simplify ((sqrt(156)*1 + sqrt(156) - sqrt(156))*-2 + (sqrt(156) + (sqrt(156) - -3*2*sqrt(156)) - sqrt(156)))/(sqrt(192) - (sqrt(192)*-1 + sqrt(192))*-6). 5*sqrt(13)/4 Simplify (sqrt(280) + sqrt(280)*1*-5 + sqrt(280) + sqrt(280))/(-2*sqrt(40)). sqrt(7) Simplify (3 + ((3*sqrt(160) + sqrt(160) + sqrt(160))/sqrt(8) + sqrt(20) - sqrt(20))/(sqrt(24)/(sqrt(42)/sqrt(7))))*-5. -25*sqrt(5) - 15 Simplify (sqrt(102)*-1*-3 - (-2*sqrt(102)*1 + sqrt(102) + sqrt(102)))/(sqrt(54)/(sqrt(36)/sqrt(4))*-6). -sqrt(17)/2 Simplify -4 + (sqrt(66)/(sqrt(96)*-1) - ((sqrt(121) - (sqrt(121) + sqrt(121)*2 - sqrt(121)))*-4)/sqrt(11)). -17*sqrt(11)/4 - 4 Simplify (4 + (sqrt(13) - sqrt(52)/(2*sqrt(4)))*-1)**2 + (5*sqrt(1872)*-2 - sqrt(1872) - (sqrt(1872) - (5 + -1 + sqrt(1872)))). -136*sqrt(13) + 93/4 Simplify (-2*(-4 + -4*-3*sqrt(833)))**2 + 5. -2688*sqrt(17) + 479877 Simplify -2*(-1 + ((sqrt(1377) - -1*(2 + sqrt(1377)))**2 - sqrt(1377))). -11022 - 126*sqrt(17) Simplify (2*sqrt(270)*-2)/(-1*sqrt(160)*5). 3*sqrt(3)/5 Simplify 4 + 1*(sqrt(7) + 2)**2*3*5. 60*sqrt(7) + 169 Simplify 6*5*(4 + 4*sqrt(72))**2. 5760*sqrt(2) + 35040 Simplify -3 + sqrt(468) + -2 + (sqrt(468) + sqrt(468) + -2 + -1)**2. -66*sqrt(13) + 1876 Simplify (sqrt(99) - (5 + -2*sqrt(99)) - (sqrt(99) + -1*sqrt(99)*-4))*-5. 25 + 30*sqrt(11) Simplify (-2*(sqrt(11) - sqrt(99)))**2 - sqrt(396)*1 - (2 + sqrt(11) + -1 + -4 + (sqrt(11) - sqrt(99)/(2*sqrt(9)))). -15*sqrt(11)/2 + 179 Simplify (sqrt(1053) + sqrt(1053)*-4 + 5)**2 + (-6*(-3 + sqrt(1053)))**2. -2214*sqrt(13) + 47734 Simplify 5 + (5*3*(3*(sqrt(19) - sqrt(304)) - (sqrt(19) - (-5 + -1*sqrt(19)))))**2. 24750*sqrt(19) + 522905 Simplify (sqrt(363)/sqrt(44) - (sqrt(33) - 2*sqrt(4752)))/(sqrt(275) + (sqrt(275) - (sqrt(275) + sqrt(275)*-1*4 + sqrt(275))) - sqrt(275)). 47*sqrt(3)/30 Simplify (-2*(sqrt(42)/(sqrt(28)/sqrt(4))*-2)/(1*sqrt(3)*-5*3))**2. 32/225 Simplify 2 + sqrt(99) + 0 + sqrt(55)/(-1*sqrt(5)) + 4. 6 + 2*sqrt(11) Simplify ((sqrt(1053) + 5 + 2*sqrt(1053) - sqrt(1053))*-3 + (sqrt(1053) - 6*(-3 + sqrt(1053)))*-6)**2. -53136*sqrt(13) + 621657 Simplify (sqrt(50)/(sqrt(20)/(sqrt(4)/sqrt(2))))**2 + (sqrt(5) - sqrt(5)*1)**2*5 + 2*(sqrt(5)*-1)**2. 15 Simplify 4*(-1*(sqrt(3) + 0) + -1)**2 - (-6*sqrt(36)/sqrt(4))/((sqrt(45)/sqrt(3))/sqrt(5)). 16 + 14*sqrt(3) Simplify (-3*(1*sqrt(153) - -2*sqrt(612)))**2 + 2. 34427 Simplify (-2*(sqrt(78) + sqrt(78)*-2)*4)/((sqrt(6) - (sqrt(600) + sqrt(600)*-2)) + ((sqrt(66)*1)/sqrt(11) - sqrt(6))). 8*sqrt(13)/11 Simplify 4*(-3 + -2*sqrt(425)*3 + 3*(sqrt(425) - -6*(sqrt(425) + -1)))**2. -12600*sqrt(17) + 384264 Simplify ((-5 + sqrt(112) + 0)**2 + (sqrt(112) - (-1 + (sqrt(112)*-2 - sqrt(112)))))*-4
{ "pile_set_name": "DM Mathematics" }
cking 1 c, 1 w, 1 r, and 1 v when four letters picked without replacement from {c: 1, w: 2, y: 6, u: 2, r: 1, v: 6}. 1/255 Four letters picked without replacement from {p: 4, l: 7}. What is prob of picking 2 p and 2 l? 21/55 Three letters picked without replacement from {n: 5}. What is prob of picking 3 n? 1 Four letters picked without replacement from {f: 6, p: 5, s: 4}. Give prob of picking 4 s. 1/1365 What is prob of picking 3 o and 1 a when four letters picked without replacement from {o: 3, y: 12, a: 1}? 1/1820 Two letters picked without replacement from sssrsswsswwr. What is prob of picking 1 s and 1 w? 7/22 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {n: 1, i: 1, y: 1, e: 1, l: 2, s: 1}. 1/21 Three letters picked without replacement from {a: 1, b: 2, f: 2, k: 1, u: 1}. What is prob of picking 1 a and 2 f? 1/35 Four letters picked without replacement from {j: 2, d: 4, c: 1, a: 6}. What is prob of picking 2 a and 2 d? 18/143 Three letters picked without replacement from oloodoldoodd. What is prob of picking 1 o and 2 l? 3/110 Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, o: 4}. 1/7 What is prob of picking 1 j and 1 l when two letters picked without replacement from {g: 1, h: 4, j: 2, z: 2, i: 7, l: 1}? 1/68 Calculate prob of picking 2 r and 1 p when three letters picked without replacement from ddgzdzzzrdmdzrzp. 1/560 Calculate prob of picking 1 g, 1 f, and 1 i when three letters picked without replacement from fgfggfiggfgggff. 48/455 Calculate prob of picking 1 w and 3 l when four letters picked without replacement from wlilxliwlll. 4/33 Three letters picked without replacement from sgkxhsxxsggxisiigkxs. Give prob of picking 1 s and 2 x. 5/114 What is prob of picking 1 q, 1 l, and 1 h when three letters picked without replacement from umlmmlmlmlquzllhzzzl? 7/1140 Two letters picked without replacement from yyyyyyyyyyyyysyu. What is prob of picking 2 y? 91/120 Three letters picked without replacement from viiivihvivj. What is prob of picking 1 v and 2 i? 8/33 Two letters picked without replacement from lllsslsslslllllsssls. Give prob of picking 2 l. 11/38 What is prob of picking 2 a when two letters picked without replacement from mmmmmmmmammmammmmm? 1/153 Calculate prob of picking 3 d when three letters picked without replacement from dddd. 1 Two letters picked without replacement from llqqqzzzqbzlqllzllq. What is prob of picking 1 l and 1 b? 7/171 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 3, t: 1, x: 3, o: 2, m: 1}. 1/5 What is prob of picking 3 e when three letters picked without replacement from eeeeeee? 1 Two letters picked without replacement from yyynynn. Give prob of picking 2 y. 2/7 Two letters picked without replacement from {l: 1, s: 2, z: 2, e: 9}. Give prob of picking 1 s and 1 e. 18/91 What is prob of picking 1 y and 1 g when two letters picked without replacement from ygyygzyyg? 5/12 Calculate prob of picking 4 q when four letters picked without replacement from {r: 3, q: 5}. 1/14 Calculate prob of picking 2 o when two letters picked without replacement from {c: 1, o: 3, q: 5}. 1/12 Two letters picked without replacement from {j: 5, h: 3}. Give prob of picking 2 h. 3/28 Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {t: 2, o: 8, y: 4}. 2/91 What is prob of picking 2 m and 1 k when three letters picked without replacement from jajajamkmjajfjk? 2/455 Calculate prob of picking 2 o and 2 g when four letters picked without replacement from oooogggooooo. 12/55 Three letters picked without replacement from cccccccccc. Give prob of picking 3 c. 1 Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {x: 3, n: 3}. 1/5 What is prob of picking 1 k and 1 u when two letters picked without replacement from kuu? 2/3 Two letters picked without replacement from ttctyty. What is prob of picking 2 y? 1/21 What is prob of picking 2 j and 1 z when three letters picked without replacement from zdyzdzdjjozdyo? 1/91 Two letters picked without replacement from {f: 1, g: 3}. Give prob of picking 1 f and 1 g. 1/2 Three letters picked without replacement from {o: 3, v: 4}. Give prob of picking 2 v and 1 o. 18/35 Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {m: 3, h: 2, j: 3, z: 1, c: 1, b: 8}. 1/272 Calculate prob of picking 1 t, 1 k, 1 q, and 1 g when four letters picked without replacement from fkkgqkqfqfqkqfqqgt. 14/765 Four letters picked without replacement from {x: 2, v: 1, h: 3, e: 1}. What is prob of picking 1 e, 2 x, and 1 h? 3/35 What is prob of picking 2 d when two letters picked without replacement from kdykdkkdkkyyckyy? 1/40 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 1, t: 4, k: 1, p: 2, b: 2}. 1/45 What is prob of picking 1 r and 1 d when two letters picked without replacement from drj? 1/3 Calculate prob of picking 1 v, 2 g, and 1 h when four letters picked without replacement from {b: 3, g: 2, h: 1, v: 5, s: 7}. 1/612 Three letters picked without replacement from {j: 1, z: 2, i: 2, k: 14}. Give prob of picking 3 k. 364/969 Calculate prob of picking 1 v and 3 x when four letters picked without replacement from xxvxqxvrqvnnqnnnnn. 1/255 Two letters picked without replacement from {f: 9, o: 10}. Give prob of picking 2 f. 4/19 What is prob of picking 2 p and 2 r when four letters picked without replacement from rrrrrrrprrrrrrrrrp? 2/51 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {o: 6, z: 7}. 7/13 What is prob of picking 2 j and 1 t when three letters picked without replacement from tjtj? 1/2 Three letters picked without replacement from lgzznxxk. Give prob of picking 1 l, 1 n, and 1 x. 1/28 What is prob of picking 4 w when four letters picked without replacement from piwwdwiwpdd? 1/330 What is prob of picking 1 i and 2 o when three letters picked without replacement from oiiooiiiioiiooio? 27/80 What is prob of picking 3 c when three letters picked without replacement from tocwwccwctwtotco? 1/56 Three letters picked without replacement from {c: 2, x: 12, z: 5}. Give prob of picking 2 z and 1 c. 20/969 Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {y: 4, i: 6, o: 1, h: 2}. 1/13 What is prob of picking 2 f when two letters picked without replacement from {f: 9}? 1 Four letters picked without replacement from {p: 3, f: 4}. Give prob of picking 3 f and 1 p. 12/35 What is prob of picking 1 j, 1 t, and 1 q when three letters picked without replacement from {j: 1, t: 2, l: 1, q: 2, v: 1, b: 1}? 1/14 Calculate prob of picking 2 q and 2 o when four letters picked without replacement from oooooqoo. 0 Four letters picked without replacement from {m: 7, q: 3, p: 2}. Give prob of picking 2 m and 2 p. 7/165 What is prob of picking 1 y and 1 p when two letters picked without replacement from {y: 1, p: 3}? 1/2 Four letters picked without replacement from ofbaobxzbffbbbof. What is prob of picking 1 z, 2 b, and 1 a? 3/364 Four letters picked without replacement from xxxxxxzxxzxxzxxxxxxz. Give prob of picking 1 x and 3 z. 64/4845 Calculate prob of picking 1 z, 1 h, and 1 m when three letters picked without replacement from zgztzhmtzzthgzth. 9/280 What is prob of picking 1 d and 2 n when three letters picked without replacement from {d: 2, n: 2, u: 2, r: 1, c: 1, a: 1}? 1/42 Calculate prob of picking 2 l and 1 v when three letters picked without replacement from lllvlv. 3/5 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 5, j: 10, w: 3, t: 2}. 5/19 Four letters picked without replacement from {e: 2, m: 2, t: 2, a: 3, q: 3, x: 4}. What is prob of picking 1 q, 2 a, and 1 m? 9/910 Three letters picked without replacement from nwsynnwns. Give prob of picking 2 n and 1 s. 1/7 Two letters picked without replacement from {k: 4, v: 2, t: 1}. What is prob of picking 1 t and 1 k? 4/21 Calculate prob of picking 1 a, 1 k, and 1 u when three letters picked without replacement from {k: 4, r: 2, a: 3, u: 1, j: 2}. 3/55 Calculate prob of picking 2 q a
{ "pile_set_name": "DM Mathematics" }
221382? -i + 5221388 What is the b'th term of 16760, 67029, 150810, 268103, 418908, 603225? 16756*b**2 + b + 3 What is the r'th term of -60160, -60166, -60172, -60178, -60184? -6*r - 60154 What is the n'th term of -1436, -5771, -13004, -23141, -36188? -n**3 - 1443*n**2 + n + 7 What is the q'th term of 26357, 26349, 26341, 26333, 26325, 26317? -8*q + 26365 What is the d'th term of -118, -924, -3086, -7282, -14190, -24488, -38854? -113*d**3 - 15*d + 10 What is the s'th term of -12661, -12650, -12639? 11*s - 12672 What is the n'th term of 4659165, 4659164, 4659163? -n + 4659166 What is the u'th term of -6140, -24592, -55352, -98426, -153820, -221540, -301592, -393982? -u**3 - 6148*u**2 - u + 10 What is the d'th term of -8533503, -8533502, -8533501, -8533500, -8533499, -8533498? d - 8533504 What is the n'th term of 1419, 1440, 1481, 1548, 1647? n**3 + 4*n**2 + 2*n + 1412 What is the u'th term of -194561, -389120, -583679, -778238? -194559*u - 2 What is the b'th term of -490, -439, -352, -229? 18*b**2 - 3*b - 505 What is the z'th term of 23, 115, 237, 359, 451, 483? -5*z**3 + 45*z**2 - 8*z - 9 What is the f'th term of 118, 98, 66, 22? -6*f**2 - 2*f + 126 What is the g'th term of 14, 23, 28, 29? -2*g**2 + 15*g + 1 What is the g'th term of -619, -1060, -1511, -1978, -2467, -2984, -3535? -g**3 + g**2 - 437*g - 182 What is the n'th term of 1050, 1031, 986, 903, 770, 575? -2*n**3 - n**2 - 2*n + 1055 What is the w'th term of 247, 316, 507, 880, 1495, 2412? 10*w**3 + w**2 - 4*w + 240 What is the l'th term of 4346, 4125, 3904? -221*l + 4567 What is the b'th term of 22211, 44435, 66673, 88931, 111215? b**3 + b**2 + 22214*b - 5 What is the n'th term of -107, -306, -651, -1142, -1779, -2562? -73*n**2 + 20*n - 54 What is the i'th term of -510, -2500, -5974, -10932, -17374, -25300? -742*i**2 + 236*i - 4 What is the h'th term of -1925, -18718, -64301, -153068, -299413, -517730? -2399*h**3 - h**2 + 3*h + 472 What is the h'th term of 25864, 51813, 77762, 103711, 129660? 25949*h - 85 What is the o'th term of -53064, -53053, -53040, -53025, -53008? o**2 + 8*o - 53073 What is the q'th term of 389615, 389599, 389583, 389567? -16*q + 389631 What is the k'th term of 2463, 2461, 2459, 2457, 2455? -2*k + 2465 What is the w'th term of -418, -1690, -3810, -6772, -10570? w**3 - 430*w**2 + 11*w What is the b'th term of -1199787, -1199786, -1199785, -1199784, -1199783? b - 1199788 What is the z'th term of -951, -1875, -2803, -3735, -4671? -2*z**2 - 918*z - 31 What is the h'th term of 14771, 59059, 132865, 236189, 369031? 14759*h**2 + 11*h + 1 What is the z'th term of -2325, -2389, -2453, -2517, -2581? -64*z - 2261 What is the n'th term of 879, 3554, 8033, 14322, 22427, 32354, 44109, 57698? n**3 + 896*n**2 - 20*n + 2 What is the c'th term of 985, 1961, 2929, 3889? -4*c**2 + 988*c + 1 What is the u'th term of 408286, 408285, 408284, 408283, 408282? -u + 408287 What is the y'th term of -872, -952, -1028, -1100, -1168, -1232, -1292? 2*y**2 - 86*y - 788 What is the t'th term of 92, 357, 802, 1427, 2232? 90*t**2 - 5*t + 7 What is the r'th term of 223, 861, 1925, 3415? 213*r**2 - r + 11 What is the w'th term of 669599, 669602, 669607, 669614? w**2 + 669598 What is the b'th term of 99, 90, 69, 36, -9? -6*b**2 + 9*b + 96 What is the b'th term of 544, 509, 438, 319, 140? -2*b**3 - 6*b**2 - 3*b + 555 What is the p'th term of -1156, -2304, -3452, -4600, -5748, -6896? -1148*p - 8 What is the v'th term of 248, 758, 1564, 2666? 148*v**2 + 66*v + 34 What is the d'th term of -15412, -30606, -45800, -60994? -15194*d - 218 What is the i'th term of -300, -293, -266, -219? 10*i**2 - 23*i - 287 What is the a'th term of 136610, 136611, 136612, 136613? a + 136609 What is the r'th term of -85728, -171435, -257118, -342765, -428364, -513903, -599370? 2*r**3 - 85721*r - 9 What is the y'th term of 287, 147, -75, -379, -765? -41*y**2 - 17*y + 345 What is the o'th term of -3228, -6366, -9504, -12642? -3138*o - 90 What is the b'th term of 51, 73, 57, 3, -89, -219? -19*b**2 + 79*b - 9 What is the k'th term of 8940, 35732, 80378, 142878, 223232, 321440, 437502? 8927*k**2 + 11*k + 2 What is the p'th term of 543, 2047, 4541, 8019, 12475, 17903? -p**3 + 501*p**2 + 8*p + 35 What is the n'th term of -11020450, -11020454, -11020460, -11020468? -n**2 - n - 11020448 What is the p'th term of 13440, 13435, 13430, 13425, 13420, 13415? -5*p + 13445 What is the d'th term of -408876, -408877, -408878, -408879, -408880? -d - 408875 What is the b'th term of -65834, -131670, -197508, -263348, -329190, -395034? -b**2 - 65833*b What is the y'th term of -1157, -4724, -10669, -18992, -29693, -42772, -58229? -1189*y**2 + 32 What is the d'th term of 58085, 116200, 174345, 232526, 290749, 349020, 407345? d**3 + 9*d**2 + 58081*d - 6 What is the i'th term of -1824, -7344, -16544, -29424, -45984? -1840*i**2 + 16 What is the q'th term of 907, 1812, 2733, 3682, 4671, 5712? 2*q**3 - 4*q**2 + 903*q + 6 What is the k'th term of -12791, -12788, -12783, -12776? k**2 - 12792 What is the k'th term of -227853, -227843, -227833, -227823, -227813, -227803? 10*k - 227863 What is the t'th term of 628, 1175, 1730, 2293, 2864? 4*t**2 + 535*t + 89 What is the z'th term of 0, -111, -394, -939, -1836, -3175? -15*z**3 + 4*z**2 - 18*z + 29 What is the d'th term of -1586, -3186, -4786, -6386, -7986? -1600*d + 14 What is the h'th term of -702, -1447, -2192, -2937, -3682, -4427? -745*h + 43 What is the h'th term of 34447, 34443, 34439, 34435, 34431? -4*h + 34451 What is the a'th term of -284655, -569304, -853953, -1138602, -1423251? -284649*a - 6 What is the w'th term of 2832, 4821, 6808, 8793, 10776, 12757, 14736? -w**2 + 1992*w + 841 What is the u'th term of 31285, 31260, 31233, 31204, 31173? -u**2 - 22*u + 31308 What is the h'th term of 22400350, 22400349, 22400348, 22400347, 22400346? -h + 22400351 What is the b'th term of -152, -559, -1238, -2189? -136*b**2 + b - 17 What is the x'th term of 66630, 66664, 66698, 66732? 34*x + 66596 What is the i'th term of 582, 1817, 3876, 6759, 10466, 14997? 412*i**2 - i + 171 What is the m'th term of -330, -1384, -3150, -5622, -8794, -12660, -17214? m**3 - 362*m**2 + 25*m + 6 What is the n'th term of -197, -1314, -3175, -5780, -9129, -13222, -18059? -372*n**2 - n + 176 What is the q'th term of -34551, -34560, -34573, -34590? -2*q**2 - 3*q - 34546 What is the q'th term of -303, -535, -765, -993, -1219, -1443? q**2 - 235*q - 69 What is the o'th term of 483, 1948, 4397, 7836, 12271, 17708, 24153? o**3 + 486*o**2 - 4 What is the j'th term of -6961, -13849, -20571, -27043, -33181, -38901, -44119, -48751? 14*j**3 - j**2 - 6983*j + 9 What is the q'th term of 1749, 3507, 5265, 7023, 8781? 1758*q - 9 What is the y'th term of -3422, -3378, -3308, -3212, -3090, -2942, -2768? 13*y**2 + 5*y - 3440 What is the r'th term of 53458, 53466, 53478, 53494, 53514? 2*r**2 + 2*r + 53454 What is the s'th term of 18737, 37480, 56223, 74966, 93709, 112452? 18743*s - 6 What is the t'th term of -336, -1046, -2210, -3816, -5852? 2*t**3 - 239*t**2 - 7*t - 92 What is the u'th term of 16363, 32714, 49065, 65416, 81767, 98118? 16351*u + 12 What is the j'th term of 4272, 17092, 38472, 68418, 106936? j**3 + 4274*j**2 - 9*j + 6 What is the c'th term of -132649, -132653, -132659, -132667, -132677, -132689, -132703? -c**2 - c - 132647 What is the n'th term of -1106, -1540, -1974, -2408, -2842, -3276? -434*n - 672 What is the t'th term of -18350, -36669, -54988, -73307, -91626, -109945? -18319*t - 31 What is the v'th term of 3043, 12240, 27565, 49018? 3064*v**2 + 5*v - 26 What is the z'th term of 970, 1861, 2742, 3607, 4450? -z**3 + z**2 + 895*z + 75 What is the z'th term of -1247176, -1247178, -1247180, -1247182, -1247184, -1247186? -2*z - 1247174 What is the j'th term of 426, 836, 1252, 1680, 2126? j**3 - 3*j**2 + 412*j + 16 What is the a'th term of -273878, -547753, -821628? -273875*a - 3 What is the u'th term of 938, 1631, 2328, 3029, 3734, 4443, 5156? 2*u**2 + 687*u + 249 What is the a'th term of 1213, 2444, 3705, 5008, 6365, 7788, 9289, 10880? 2*a**3 + 3*a**2 + 1208*a What is the q'th term of -640, -1332, -2024, -2716, -3408, -4100? -692*q + 52 What is the b'th term of -6287, -12567, -18847, -25127? -6280*b - 7 What is the m'th term of 6896, 6911,
{ "pile_set_name": "DM Mathematics" }
8 = -y*x. Is 8 a factor of x? True Let z(d) = -d**3 - 4*d**2 + 8*d - 4. Suppose g + 11 = -4*q - 4, 25 = -5*g + 5*q. Is z(g) a multiple of 29? True Let w be (0 + -1)/(-8 - -9). Let n(t) = -10*t. Let s be n(w). Is (-2)/s + (-324)/(-20) a multiple of 11? False Let o = -1124 - -1341. Is 9 a factor of o? False Let i(s) = 20*s. Let m(v) = 5*v**2 + v + 1. Let d be m(-1). Suppose 0 = 2*o + d*z - 2, -z = 2*z. Is i(o) a multiple of 6? False Let z = 67 - 6. Is z a multiple of 3? False Let h = 20 + -39. Let s(w) = -w**3 - 19*w**2 - 4*w + 1. Does 11 divide s(h)? True Suppose 3*c = -5*t + 4*c - 70, 40 = -t - 5*c. Let i be ((-36)/t)/((-10)/(-125)). Let a = i - -6. Does 16 divide a? False Is 7 a factor of (-12)/(-18) - 520/(-3)? False Suppose 4 - 91 = -3*g. Suppose -g*s + 26*s = -9. Suppose -s*i = -2*q + 84 + 55, -3*q + 237 = 5*i. Does 35 divide q? False Let k(j) = -9*j - 33. Let d be k(-12). Let q = d - 45. Does 6 divide q? True Suppose 11*r - 14*r = -3429. Does 16 divide r? False Suppose 2 - 8 = -k. Suppose -3*v = -6, -2*j + v = j - 16. Is (20/j)/(k/36) a multiple of 10? True Suppose 0*y = -2*y. Suppose y = -w + 4*w - 24. Is w a multiple of 2? True Suppose 0 = 25*s - 4*s - 13986. Is 9 a factor of s? True Let k(b) = 133*b**2 + 12*b - 14. Is k(1) even? False Suppose 3425 = 17*l - 2406. Does 18 divide l? False Let a = 71 + -188. Is a/(-7) + 10/35 a multiple of 8? False Suppose -4*d = -31 - 9. Suppose 11*i - d = 10*i. Is 5 a factor of i? True Suppose 8 = -2*q, 4*q = k + 2*q - 13. Suppose w - s - 306 = -23, 0 = -2*w - k*s + 573. Is 8/(-28) - w/(-14) a multiple of 10? True Let b be -10*(-3)/(-24)*-112. Suppose -b = -8*l + 6*l. Is l a multiple of 14? True Let l be -1 - (412/(-4) + -4). Let u = -18 + l. Is 8 a factor of u? True Is (2238/8)/(18/120) a multiple of 93? False Suppose -6 = 4*k - 14. Is ((-36)/15)/(k/(-5)) a multiple of 4? False Suppose 5 = -6*u + 5. Let c(s) = -s + 24. Is 6 a factor of c(u)? True Suppose 2*c - 9 = -1. Suppose n + c*y = 108, 5*n - 315 - 297 = 4*y. Does 24 divide n? True Let a(s) = 12*s**2 + 9*s. Let p(m) = -11*m**2 - 10*m - 1. Let y(w) = -2*a(w) - 3*p(w). Does 8 divide y(-5)? True Suppose 2*x = 5*r - 0 - 7, -3*r = -3. Let y = x - -6. Suppose -y*f = w - 3*w + 44, 4*w = 5*f + 98. Does 7 divide w? False Let r = -2564 + 3679. Is r a multiple of 62? False Suppose u - 170 = 4. Is 3 a factor of u? True Suppose 4*w - 17092 = -4*y, -4*y - 9*w + 7*w + 17100 = 0. Is 29 a factor of y? False Let m = 15 + -13. Let s(d) = d - 4. Let l be s(m). Is 22 a factor of 36 - (l + 1 + 1)? False Let r = -427 - -843. Is 26 a factor of r? True Suppose 0 = 24*h - 11795 - 61. Is 30 a factor of h? False Let o(t) = 4*t**3 - 17*t**2 - 2*t + 25. Is 22 a factor of o(7)? True Let v(y) = y**3 + 7*y**2 - 11*y - 8. Suppose 0 = 3*q + 12, 0*q - 32 = 2*f + 5*q. Is 14 a factor of v(f)? False Let t be 10/(-55) - 35/(-11). Let v(b) = b**3 + 8*b**2 + 10*b + 7. Let c be v(-6). Suppose -i + c = -t. Is i a multiple of 6? False Let m = 77 + -141. Is 23 a factor of (m/24)/((-4)/138)? True Is (-5 - -1) + (-3)/((-15)/2555) a multiple of 18? False Let z be 1506/(-16) + 4/32. Let t = -15 - z. Let x = 128 - t. Is 9 a factor of x? False Let r = -13 + 24. Suppose -z = -3*k + 599, 1000 - 184 = 4*k + 3*z. Suppose k = r*x - 8*x. Is x a multiple of 30? False Suppose -1365 = -4*f - 3*m + 333, 4*f - 4*m = 1684. Is f a multiple of 33? False Let a = -907 + 1356. Suppose a + 75 = 4*n. Is n a multiple of 17? False Suppose -42*t - 3 = -39*t, -u - 5*t + 765 = 0. Is u a multiple of 7? True Let x = 1270 + -330. Is 10 a factor of x? True Let g(s) = 137*s**3 + 5*s**2 - 3*s. Is g(1) even? False Suppose 2*d = 4*d - 8. Let o be 4*(-2 + (-10)/(-4)). Let s = d + o. Is s even? True Let c = -18 - -24. Suppose -c*d - 359 = -1295. Suppose 0*a + d = 4*a. Does 13 divide a? True Suppose -o + 35 = 3*u, -2*u = -2*o + 3*o - 23. Let p(n) = 4*n - 19. Is 29 a factor of p(u)? True Let r(y) = 8*y - 5. Let c(s) = s - 3. Let g be c(5). Let i(x) = -7*x + 6. Let j(a) = g*i(a) + 3*r(a). Is j(2) a multiple of 8? False Suppose -s + 76 = -85. Suppose -3*r + s = -130. Is r a multiple of 6? False Let i(t) = -t**3 - 4*t**2 + 25*t - 41. Is i(-13) a multiple of 33? True Suppose -c = c - 10. Let x = 44 + -44. Suppose -2*m + x*v + 20 = 4*v, 2*m - 16 = -c*v. Is m a multiple of 8? False Suppose u - i + 0*i - 179 = 0, -4*u + 724 = 4*i. Let h = 271 - u. Does 13 divide h? True Suppose -22*v = -24*v - 3*g + 122, 3*g = -5*v + 287. Is 38 a factor of v? False Let r = 40 - 19. Let g be 7/r + (-43)/3. Let b = 20 + g. Is 3 a factor of b? True Let h(u) = u**3 - 26*u**2 + 22*u - 35. Is h(27) a multiple of 50? False Let m be ((-24)/16)/((-1)/(-2)). Does 8 divide 9/m - (-13 + 2)? True Suppose -3*s + 245 + 83 = -5*x, x = -4*s - 61. Let l = x + 107. Suppose 0 = 4*o - o - l. Is o a multiple of 14? True Let s = 76 + -57. Let q = 56 - s. Does 5 divide q? False Let m(n) be the third derivative of -11*n**4/4 + n**3/3 + 19*n**2. Suppose r = -2*q - 1, 4*q + q + 5 = -5*r. Is 17 a factor of m(r)? True Suppose 0 = -54*u + 58*u - 1032. Is 12 a factor of u? False Suppose 2*s - 4*x - 510 = 736, 3*x = 9. Does 30 divide s? False Suppose -4*q - 5 = -1. Let r be 4*q/(-2)*1. Suppose r*h + 5*g - 16 = 0, -4*g + 11 - 63 = -2*h. Is h a multiple of 6? True Suppose 8*b - 7029 = 1267. Is b a multiple of 36? False Suppose -g - c - 3*c + 4 = 0, -2*g - 2*c + 2 = 0. Suppose g = -y + 4*m - 7, 4*y - 4*m - 3 = y. Suppose 5*o = -a + 11, 0 = 3*o - o + a - y. Is o even? True Let d(j) = -j**2 - 2*j. Let i be d(-5). Let u = i + 17. Suppose 3*t - 98 = -3*n - 11, -u*n = -2*t - 54. Does 21 divide n? False Let b be 1 + (-27)/5 + (-6)/(-15). Is 10 a factor of (-443)/b - 18/24? True Let u(z) = 2*z**3 + 7*z**2 - 11*z - 7. Let w(t) = t**3 - t**2 - t + 1. Let m(y) = u(y) - 3*w(y). Let c = 35 - 27. Does 12 divide m(c)? False Let b = 25 - 19. Suppose 5*z - 3*u + b*u - 388 = 0, -229 = -3*z + 2*u. Does 21 divide z? False Let r(n) = -n**2 + 6*n + 10. Let z be r(7). Suppose 38 = 5*j - z*j. Is 16 a factor of j? False Suppose 0 = -7*f - 0*f + 413. Is f*1 + ((-5)/(-1))/5 a multiple of 5? True Let k = 7 - 62. Let h = 100 + k. Is h a multiple of 15? True Let j(a) be the third derivative of -a**6/120 + a**5/20 + a**4/12 - 2*a**3/3 - 8*a**2. Let y be j(3). Suppose 63 = l + y*l. Is l a multiple of 7? True Suppose 2*i - 6 = -i. Suppose 0 = -9*a + i*a. Suppose a = 2*t - 44 + 2. Is t a multiple of 7? True Suppose -2*w + 9 = 11. Does 10 divide -1*(-18 + (-1 - w) + -2)? True Let x be 10/(-15)*-3 + -2. Suppose 5*r - r - 508 = x. Is 13 a factor of r? False Let f be 4/(-1 + -1) + -1. Suppose 2*c = -4*i - 2, 0 = 4*i + 11 - 27. Is 5 a factor of (-15)/(c/(-6) + f)? True Let x(l) = 17*l. Let f(d) = 34*d. Let a(s) = -4*f(s) + 9*x(s). Let y(j) = 2*j + 12. Let g be y(-5). Is a(g) a multiple of 17? True Suppose -12*y + 9*y + 87 = 0. Let n = 36 - y. Does 7 divide n? True Does 15 divide 7/(42/75)*(31 - 1)? True Let w(h) be the first derivative of 10 - 14*h + 19/2*h**2 - 1/3*h**3. Does 13 divide w(12)? False Suppose 75 = g - 0*g + 3*p, 2*p - 8 = 0. Let o be (-4)/((4/38)/1). Let k = g + o. Is 7 a factor of k? False Let p(d) = -4*d**3 - 11*d**2 - 9*d + 33. Is 15 a factor of p(-6)? True Let g be (-68)/(-51)*261/2. Is 7 a factor of -1*(-1 + 1 - g)? False Let d be 6/21 + 3/(21/649). Suppose 562 = 5*o - d. Is 40 a factor of o? False Let u = 537 + -1027. Is (-2)/6 + u/(-30) a multiple of 3? False Suppose -129 = k + 3*l - 6*l, -5*l = -10. Let q = -22 - k. Does 9 divide q? False Suppose 10 + 4 = 7*l. Suppose 6*d = l*d + 108. Does 10 divide d? False Let p(r) = 16*r + 18. Let o be p(6). Suppose -5*w + 490 = y, 2*w = w + 3*y + o. Is w a multiple of 16? False Suppose 3*p + 6 + 0 = 0. Let d be (-228)/(-60) - p/10. Suppose 105 = d*j + n, 3*n - 45 = -3*j + j. Does 12 divide j? False Suppose 2*s + 2 = 8. Suppose h = -s*d + d + 797, 5*h = 3*d - 1163. Does 11 divide ((-1)/(-3))/(6/d)? True Let m(b) = 99*b + 262. Is m(38) a multiple of 35? False Suppose u + 4*d - 459 = 0, 247 = -3*u - 3*d + 1633. Suppose u = 3*g + 5*c, 2*g = g - 5*c + 151. Is 8 a factor of g? False Suppose 3 + 23 = 2*q. Let l = q - 15. Does 5 divide (0 + -4)/(1/l)? False Let u(q) = -q**2 + 2. Let o be u(0). Suppose 3 = 2*g - 9. Suppose 0 = 5*t + w - 47, g*t - 4*w = o*t + 52. Is 4 a facto
{ "pile_set_name": "DM Mathematics" }
*3 + 4*z**2 - 58*z - 3. Calculate r(0). -3 Let l(w) = 2514*w + 7544. Calculate l(-3). 2 Let a(l) = -2136*l + 89719. What is a(42)? 7 Let f(b) = -b**3 + 14*b**2 - 35*b + 611. What is f(14)? 121 Let r(t) = -t**3 - 32*t**2 - 40*t + 1372. Determine r(-29). 9 Let m(h) = -h**3 - 17*h**2 - 3*h + 45. Give m(-16). -163 Let h(f) = -1742*f + 13895. Calculate h(8). -41 Let x(z) = -144*z - 784. What is x(-5)? -64 Let x(m) = 119*m - 696. Determine x(6). 18 Let b(x) = -3307*x - 39687. What is b(-12)? -3 Let z(a) = 7*a**2 - 12*a - 26. Calculate z(-1). -7 Let m(h) = -10*h - 71. Determine m(32). -391 Let s(g) = 5*g**3 + 182*g**2 + 82*g + 340. Determine s(-36). -20 Let y(z) = -56*z - 308. Give y(-5). -28 Let b(t) = -3*t**2 + 18*t + 455. Calculate b(-11). -106 Let k(l) = 39*l**2 + 1445*l + 72. Determine k(-37). -2 Let q(g) = 155*g - 903. What is q(7)? 182 Let h(d) = -2*d**3 - 3*d**2 + 253*d + 1234. What is h(-5)? 144 Let b(d) = -d**2 - 79*d - 985. Determine b(-17). 69 Let q(z) = -898*z - 357. Determine q(-1). 541 Let t(z) = 18*z**2 + 485*z - 90. What is t(-27)? -63 Let x(r) = -98*r + 2037. Determine x(21). -21 Let b(w) = 27*w**3 + 244*w**2 + 10*w - 4. Calculate b(-9). -13 Let t(u) = 2*u**3 - 3*u**2 - u + 123. Determine t(0). 123 Let m(l) = l**3 + 137*l**2 + 7. Give m(-137). 7 Let y(a) = 67*a + 2558. Calculate y(-38). 12 Let c(a) = -2*a**3 - 47*a**2 + 29*a - 55. Determine c(-24). -175 Let v(k) = 2*k**3 - 53*k**2 + 119*k + 30. Calculate v(24). 6 Let p(b) = -b**3 + 48*b**2 + 48*b + 39. Give p(49). -10 Let s(i) = -2*i + 6. Calculate s(0). 6 Let n(i) = -81*i - 314. What is n(-4)? 10 Let v(i) = i**2 - 145*i - 2408. Calculate v(-15). -8 Let u(x) = -2*x**3 + 25*x**2 - 22*x - 1. Give u(12). -121 Let b(g) = -2*g**2 - 95*g - 243. Calculate b(-45). -18 Let b(m) = m**2 - 161*m - 654. Determine b(-4). 6 Let o(m) = m**3 - 36*m**2 - 204*m - 31. Determine o(41). 10 Let n(h) = h**3 + 108*h**2 + 107*h - 9. What is n(-107)? -9 Let d(b) = -5*b - 257. Give d(-110). 293 Let b(l) = -2*l**2 + 9*l - 57. Calculate b(5). -62 Let v(a) = 35*a**3 - 245*a**2 - 22*a + 38. Give v(7). -116 Let l(k) = -636*k - 1986. Determine l(-3). -78 Let j(l) = 130*l - 2202. Give j(17). 8 Let n(g) = 13*g - 650. Give n(56). 78 Let z(h) = 5*h**2 - 192*h + 35. Give z(38). -41 Let u(l) = -l**3 - 4*l**2 + 17*l - 33. What is u(6)? -291 Let u(r) = 20*r**2 + 227*r - 431. What is u(-13)? -2 Let d(n) = 197*n + 2554. Determine d(-13). -7 Let g(y) = -41*y - 40. Give g(-1). 1 Let j(w) = 10*w - 74. Give j(6). -14 Let x(b) = b**2 + 37*b - 648. Determine x(-58). 570 Let d(t) = 22*t + 190. Give d(-9). -8 Let r(k) = -k**3 + 52*k**2 + 110*k - 177. Determine r(54). -69 Let l(s) = -6*s**2 + 33*s - 28. Calculate l(5). -13 Let t(r) = -9*r**3 + 2*r**2 - 8*r + 13. Determine t(2). -67 Let i(p) = -p**3 + 11*p**2 + 23*p + 28. Calculate i(11). 281 Let a(l) = 7*l - 144. Give a(22). 10 Let n(h) = 852*h**2 + 1704*h - 15. Calculate n(-2). -15 Let v(f) = -12*f + 55. Give v(4). 7 Let y(a) = -a**3 + 224*a**2 - 1513*a - 1308. Determine y(217). -6 Let r(u) = 2*u**3 - 28*u**2 + 47*u - 639. Give r(14). 19 Let l(p) = p**2 + 168*p + 1153. Determine l(-161). 26 Let a(d) = -7*d**3 - 28*d**2 - 7*d - 7. What is a(-4)? 21 Let h(c) = 2488*c + 17418. What is h(-7)? 2 Let x(u) = 103*u - 41. Calculate x(0). -41 Let a(u) = u**2 + 3*u - 38. Give a(9). 70 Let d(c) = -22*c - 709. Calculate d(-34). 39 Let l(g) = -320*g + 1700. Give l(6). -220 Let a(k) = -k**2 - 11*k + 190. Give a(-24). -122 Let q(n) = 13*n + 100. Determine q(-7). 9 Let a(x) = -x**3 - 73*x**2 - 97*x - 1801. Calculate a(-72). -1 Let t(i) = -170*i**3. Calculate t(-1). 170 Let h(p) = 18*p**2 - 608*p - 93. Give h(33). -555 Let l(g) = -1960*g + 23526. Determine l(12). 6 Let y(j) = -j**3 - 92*j**2 - 267*j - 4. Give y(-89). -4 Let f(r) = -224*r**2 - 2019*r - 27. Calculate f(-9). 0 Let z(p) = -p**2 + 6*p + 155. Determine z(16). -5 Let j(l) = -15*l**2 + 61*l + 9. Calculate j(4). 13 Let r(q) = q**2 + 9*q - 103. Determine r(-20). 117 Let m(t) = t**3 + 15*t**2 + 34*t - 11. Give m(-3). -5 Let z(i) = -55*i + 8. What is z(0)? 8 Let p(o) = o**2 + 76*o + 418. What is p(-6)? -2 Let n(j) = -118*j - 350. Determine n(-4). 122 Let f(w) = -2*w**2 + 47*w + 130. Calculate f(22). 196 Let u(c) = 15*c + 23. What is u(-6)? -67 Let c(n) = -3*n**2 - 3*n + 267. Determine c(-10). -3 Let v(k) = -4*k**2 + k + 79. Determine v(0). 79 Let h(r) = 7*r**2 - 544*r - 9202. Calculate h(92). -2 Let z(p) = 4*p - 103. Give z(33). 29 Let n(c) = c**3 - 74*c**2 + 8*c - 585. Determine n(74). 7 Let y(w) = -2*w**3 + 11*w**2 - 17*w + 21. Give y(6). -117 Let d(x) = -1337*x - 14719. Determine d(-11). -12 Let x(a) = 7*a**2 + 34*a - 457. What is x(-11)? 16 Let y(r) = 127*r - 662. Calculate y(4). -154 Let p(q) = 354*q + 6324. Give p(-18). -48 Let p(a) = 16*a + 55. What is p(-6)? -41 Let u(o) = 2*o**3 - 11*o**2 - 31*o + 52. Determine u(7). -18 Let n(a) = 200*a**2 - 1602*a + 12. Give n(8). -4 Let z(s) = -s**3 + 140*s**2 - 804*s - 2. Calculate z(134). -2 Let r(u) = 4*u**2 - 17*u - 33. What is r(6)? 9 Let t(v) = -v**2 - 309*v - 1835. Give t(-6). -17 Let i(n) = -2200*n + 48404. Give i(22). 4 Let s(l) = -l**3 - 31*l**2 - 35*l - 64. Give s(-30). 86 Let v(d) = 5*d**2 + 16. Calculate v(7). 261 Let l(s) = 6*s**2 + s - 117. Calculate l(7). 184 Let h(n) = -n**3 - 9*n**2 - 17*n - 17. What is h(-4)? -29 Let v(i) = 2*i**2 + 200*i + 1754. Give v(-10). -46 Let o(f) = 210*f + 267. Give o(-1). 57 Let w(h) = 5*h**2 - 68*h - 54. Calculate w(15). 51 Let f(x) = x**3 - 10*x**2 + 19*x + 19. What is f(4)? -1 Let i(r) = 4*r**3 - 105*r**2 + 26*r - 5. Determine i(26). -5 Let w(o) = 2*o**3 - 18*o**2 - 2*o + 11. What is w(9)? -7 Let b(j) = j**2 - 49*j - 3159. Give b(-37). 23 Let k(a) = -6*a**3 + 6*a**2 - 16*a + 12. Calculate k(6). -1164 Let u(b) = 5*b**3 - 146*b**2 + 604*b + 12. Determine u(5). 7 Let a(c) = -394*c**2 + 10*c - 1. Give a(1). -385 Let i(y) = 3478*y - 83467. Give i(24). 5 Let b(x) = 2849*x - 99710. Give b(35). 5 Let t(u) = -192*u + 1381. Give t(9). -347 Let n(m) = 3*m**3 + 262*m**2 + 343*m - 211. What is n(-86)? -125 Let m(r) = r**3 + 17*r**2 + 91*r + 1504. Give m(-17). -43 Let r(v) = -v**2 - 3*v + 376. Give r(17). 36 Let a(n) = -6*n**3 + 86*n**2 - 22*n - 91. Calculate a(14). -7 Let p(l) = -l**3 + 18*l**2 - 22*l + 70. Calculate p(17). -15 Let w(p) = 329*p + 2491. Calculate w(-8). -141 Let l(v) = 3*v**3 + v**2 + 11*v + 24. Determine l(-3). -81 Let i(z) = z**3 - 16*z**2 + 83*z - 1704. Calculate i(17). -4 Let q(t) = -5*t**3 + 4*t**2 - 317*t - 321. What is q(-1)? 5 Let q(i) = -3*i**3 - 53*i**2 - 41*i - 49. Calculate q(-17). 70 Let d(l) = -9*l - 189. Give d(-53). 288 Let y(c) = -119*c**2 - 17*c - 1. What is y(2)? -511 Let h(t) = 79*t**2 + 1264*t - 22. What is h(-16)? -22 Let z(y) = -y**3 - y**2 + 13*y + 45. Determine z(5). -40 Let b(n) = -n**2 - 72*n + 660. Give b(9). -69 Let b(o) = -o**3 - 47*o**2 - 17*o - 800. Determine b(-47). -1 Let q(g) = -16630*g + 166303. Give q(10). 3 Let c(d) = -d**2 + 1739*d - 66301. Give c(39). -1 Let k(h) = 137*h - 126. Give k(1). 11 Let j(k) = -13*k**2 - 2714*k + 618. Give j(-209). -9 Let b(p) = p**3 - 12*p**2 - 12*p - 61. What is b(13)? -48 Let z(l) = 44*l - 2328. What is z(53)? 4 Let b(n) = -4*n**3 - 183*n**2 + 42*n - 209. Calculate b(-46). -25 Let k(j) = -26*j + 12. Determine k(2). -40 Let u(d) = 5*d - 380. Give u(77). 5 Let q(c) = -2*c**3 - 29*c**2 - 91*c - 25. Give q(-9). -97 Let x(a) = -1619*a + 4855. Calculate x(3). -2 Let o(t) = t**2 - 15*t - 46. What is o(16)? -30 Let q(w) = 31*w - 229. Calculate q(8). 19 Let t(k) = 97*k**2 + 163*k + 169. Determine t(-1). 103 Let p(f) = -f**3 + 53*f**2 + 11*f - 310. Give p(53). 273 Let a(d) = -12*d - 32. Determine a(0). -32 Let s(k) = 311*k + 1897. Determine s(-6). 31 Let h(p) = 295*p + 5013. What is h(-17)? -2 Let h(o) = o**3 - 2*o**2 - 9*o - 10. Determine h(5). 20 Let r(j) = -2*j**2 - 216*j + 630. Determine r(3). -36 Let p(d) = d**2 + 40*d - 142. What is p(-43)? -13 Let c(i) = 9*i**3 - 10*i - 9. Calculate c(-1). -8 Let q(r) = 157*r - 99. Determine q(4). 529 Let o(w) = 199*w + 13936. What is o(-70)? 6 Let p(y) = -12*y**3 + 3*y**2 - 17*y - 20. Give p(-1). 12 Let l(b) = -26*b - 901. Determine l(-35). 9 Let t(k) = 4604*k + 4598. Calculate t(-1). -6 Let g(v) = -v**3 - 24*v**2 + 22*v + 62. Give g(2). 2 Let p(
{ "pile_set_name": "DM Mathematics" }
ing a is positive. 1 Simplify ((a**(-30)*a/a**25)/(a*a**19*a)**(-2/27))**49 assuming a is positive. a**(-23128/9) Simplify (n*(n**(-1/16)/n)/n*n*n**(6/7)/n*n)**(-42)/(n**(-6)*n*n**(-6)*n**0*(n**(-1/4)*n)/n*n) assuming n is positive. n**(-185/8) Simplify (b/(b*b**(-1/69)))**19/(b**(1/6)/b)**(26/5) assuming b is positive. b**(106/23) Simplify ((x/(x*x**(-28)/x)*(x*x*x**(-21))/x)/(x*x**(-9)*x*x*x/(x*x**(-2/11)*x*x)*x*x))**(-32) assuming x is positive. x**(-5216/11) Simplify (((x/(x/(x*x**(-1)*x)))**27)**(-34))**(-3/23) assuming x is positive. x**(2754/23) Simplify (o**(-1/2)*o/o**(-4/5)*o)/(((o*(((o/(o/((o/(o**(-11)/o))/o)))/o*o)/o)/o)/o)/o)**11 assuming o is positive. o**(-967/10) Simplify (((w*w**(1/3)*w*w)/w)/w**(-1/2))**5/((w**(-1)/w**5)/((w/w**(1/7)*w)/(w**1/w))) assuming w is positive. w**(925/42) Simplify ((k**(1/2))**(3/40)/(k*k*k**(-2/7)/k)**43)/(k**(-4)*(k/k**(3/5))/k*k)**(-27) assuming k is positive. k**(-71611/560) Simplify ((p/(p**(1/4)*p)*p*p**(-5))/(p**4*(p*p*p**3*p)/p))/(p**8*p**(-5)/p*((p/(p/(p/(p*((p/(p**(4/5)*p))/p)/p))))/p)/(p**(-3)*p)) assuming p is positive. p**(-381/20) Simplify ((x**(-1/6)/((x/(x**(-2)*x))/x))/(x*x**6*x**(-4/9)))/((x/x**0*x*x)/x**1*(x**0)**(-31)) assuming x is positive. x**(-175/18) Simplify (((l**(2/5)*l**(-3/4))**43)**(16/9))**(-1/5) assuming l is positive. l**(1204/225) Simplify (n**(2/25)*(n*n**(-1/10))/n)**(1/25)/((n**(-1/5)*n*n**5)/(((n*n**(2/9)*n)/n)/n*n**(-2/13))) assuming n is positive. n**(-838367/146250) Simplify (((v/v**(-1/2))**(-1)*(v/v**6)/(v/(v/(v*v*v**(-2/11))*v)*v))**(1/7))**(-4/15) assuming v is positive. v**(122/385) Simplify (m**(-1/2)/m)**(-3)/(m/((m/(m**(-5)*m*m))/m)*m**(-7))*(m**(-2/19)/m)/m*m*m**2/m*(m**(-2/3))**(2/61) assuming m is positive. m**(92995/6954) Simplify ((w*(w/(w**4*w))/w)**(36/11)*(w**(-4/3))**(2/3))**19 assuming w is positive. w**(-26296/99) Simplify (n**9/n**11*n*((((n/(n/(n**(-1/22)*n)*n*n))/n)/n)/n)/n*n*n**12/n*n)**(-3/17) assuming n is positive. n**(-27/22) Simplify (o**10*o**(-1/31)*(o/(o**(8/9)*o))**(1/5))**(21/2) assuming o is positive. o**(95599/930) Simplify (t**(-3)/(t*t/((t/(t*(t/t**(-2))/t*t))/t)))**(-4)/((t**(-2/3))**(-48)*t/((t/(t*(t/(t**(2/17)/t))/t)*t*t)/t)*t**(-3)) assuming t is positive. t**(104/17) Simplify (b**(1/5)/b**(-3)*(b**(1/3))**(-48))/((b**2)**25/(b**(-1/9)*b**(-6)*b)) assuming b is positive. b**(-3056/45) Simplify ((v**(4/17)/(v*v/(v*v**5)*v))/(v**9*v*v**(-1/42)))**27 assuming v is positive. v**(-43317/238) Simplify ((f*f**(-1/2)/f)**(-1/6)*(f**6*f)/(f**(-3/5)/f))/((f/f**5*f*f)/f**(-1))**(3/19) assuming f is positive. f**(10079/1140) Simplify (l/l**(1/10)*l/(l**4*l)*(l**(-2/5)/l)**47)/((l/l**(1/10)*l**(2/11)/l)/(l**0/l*l)**(2/109)) assuming l is positive. l**(-3794/55) Simplify ((i**(-2)*i)**(-19))**(-1/6)/((i**(-7)/i**5)/(i**(2/9)*i**(2/19))) assuming i is positive. i**(3133/342) Simplify ((q/(q**7/q))/q*q*q**(2/7)/q)**6*q**(-7)*q*q/(q**(-6)/q)*q**2*q/(q*(q**(-2)/q)/q*q) assuming q is positive. q**(-191/7) Simplify (((t/(t*t/t**(-4/5))*t**7)/(t**(2/7))**(3/2))**15)**(1/9) assuming t is positive. t**(167/21) Simplify (s/s**(-1)*s)**44/((s/s**3*s)/(s/(s*s**6)*s))*(s**(-2))**(8/15)/(((s*s**(-4)*s)/s)/((s*s**7)/s)) assuming s is positive. s**(2054/15) Simplify (((o*o**(-8))/(o*o*(o/o**(2/5))/o))/(o**(-2))**(21/2))**27 assuming o is positive. o**(1674/5) Simplify (((w*w*w/(w*w**31))/(w/((w*w/(w**(-18)/w))/w)))/(((w**(-3/2)/w*w)/w)/w*w**(6/7)*w*w))**(-46) assuming w is positive. w**(3013/7) Simplify (y**(-5)/(y/(y*y/y**3))*(y*y**0*y)**5)/((y**0/y*y/y**3*y)/(y**(2/9)*y*(y*y*y*((y*y**(2/15))/y*y)/y*y*y)/y*y)) assuming y is positive. y**(511/45) Simplify ((a*a/a**(-4/7))/a**(2/5)*a**(-6)/(a**(-2)*a))/((a**(-3)/((a*a*a*a/((a**4*a)/a))/a))/(a**4/a*a**(2/3))) assuming a is positive. a**(298/105) Simplify (((r/(r/r**(-3)))**(-1/2))**27)**(-16) assuming r is positive. r**(-648) Simplify ((c**(7/4)*(c*c*c**5)/c)/((c/c**(-8))/c)**6)**(1/13) assuming c is positive. c**(-161/52) Simplify (((k/((k*k**(1/3))/k))/k)/k**3)**(-1/15)/(k**(2/17)/k**(-2/5)*k**(-1)/((k*k**(4/5)*k)/k*k)) assuming k is positive. k**(2681/765) Simplify ((d**(2/3))**36)**29/((d*d**(-2/5))/(d*d**(-7)))**(-2/27) assuming d is positive. d**(31342/45) Simplify (c*c**(-4)*c*c)/c*c/c**(2/5)*(c/((c*c**15*c)/c))**(-2/25) assuming c is positive. c**(-1/5) Simplify (((z*z*(z/(z**(-2/25)/z))/z*z)/(z*z*z**(-14)))/(z/z**(2/13))**(-1/10))**(-16/11) assuming z is positive. z**(-84056/3575) Simplify (((k*(k**(-1/35)*k)/k)/(k/(k/((k*(k**(-2/13)*k)/k*k)/k))))/((k/(k/k**(-25/4)))/(k/k**(-12))))**(-1/3) assuming k is positive. k**(-35263/5460) Simplify (((q**(3/16))**(-31))**(-2/75))**(-7/8) assuming q is positive. q**(-217/1600) Simplify (o/o**(6/5)*o**(-2/9))/((o**(4/3)/o)/(o**(-3)*o))*(o/(o/o**(-1/10)*o))/(o/(o/(o*o**(5/3))*o))*o**(-1/4)/(o*o**0*o*o*o) assuming o is positive. o**(-1759/180) Simplify (((q**(-2/7)*(((q**(-2/15)*q)/q)/q)/q)**(-13/3))**20)**(-8) assuming q is positive. q**(-105664/63) Simplify (((y**0)**(-2/11)*(y/y**(-1/3))/y**(2/21))**48)**(3/2) assuming y is positive. y**(624/7) Simplify (((c*((c/(c*c/(c*(c/(c*c**(-2/7)*c*c))/c)*c))/c)/c)**(12/13))**(-43))**(-50) assuming c is positive. c**(-851400/91) Simplify ((q**1)**30/(q/q**0)**(-12/13))/((q*(q*q**(-4))/q*q)/q*q**(2/9)*(q*q/q**6*q)/((q*q**(-2/7))/q)) assuming q is positive. q**(29824/819) Simplify ((c**(1/17)*c**23)/(c/(c*c*c/(c/((c*c/(c/(c/c**(1/3))))/c))*c)*c**(-6/5)))**7 assuming c is positive. c**(48062/255) Simplify (c**(1/20)*c*c**(2/19)/c)**(-29)*((c*c**(3/8))/c)/(c/(c**(-1/13)*c*c))*(c**(-2/7))**(1/23) assuming c is positive. c**(-5117181/1590680) Simplify ((u*u**(-3/7)/u*u)/(u/(u**(2/17)*u)))/(u*u*u/u**(-1/4))**38*((u/u**(-7))/u**(-3))**(-48) assuming u is positive. u**(-154893/238) Simplify ((c/(c*c**13/c))**(2/9)/(c**(-3/8)*c**(-28)))**12 assuming c is positive. c**(617/2) Simplify (k**(-1/10)/k**(-3/7))/(k**3*k**8*k)*(k**4/k)/k**8*(((k/k**(-1/5))/k)/k)**(5/7) assuming k is positive. k**(-1207/70) Simplify ((((p**(-28)/p)/p)/p*p)**26/(p**(-2/17)/(p/p**(2/89))))**(-14) assuming p is positive. p**(16498762/1513) Simplify y**(-2/11)/y**(-31)*y*(y**(-10/3)/y)/y*y**17*y assuming y is positive. y**(1468/33) Simplify (((p*p/p**(1/10))/p*p)**(1/39)/(p**(-3/10)/(p**(-15)/p)))**50 assuming p is positive. p**(-30520/39) Simplify s*(s*(s/(s**(-1/3)*s))/s*s)/s*s*s**(-7)*(s**(2/5))**(-1/13)*((s/(s*s*s**(-1/5)))**15)**(6/23) assuming s is positive. s**(-35108/4485) Simplify (b**(-7)/b**(1/4))/(b*b/(b*b/b**4*b)*(b/(b/(b*b*(b/(b**(-1/6)/b*b))/b*b*b)))/b)*(b**(-9)*b**(-9))**(-25) assuming b is positive. b**(5239/12) Simplify (l**(-1)*l*l**(-14)*l)**(2/89)/((l/(l*l**(2/7)))**6*(l/l**(2/13))/(l**(-4/3)/l)) assuming l is positive. l**(-42698/24297) Simplify ((a**2/a)**(-10)*(a**(-3/2)/a*a)/(a*((a**(-9)/a*a)/a)/a))/((a**0/a)/a*a**(-1/2))**(6/13) assuming a is positive. a**(-9/26) Simplify (m**(-6/5)/m**(-2/17))**12*(m/m**(2/5))**34/(m**(2/5))**11 assuming m is positive. m**(256/85) Simplify (f**(1/9)*f**(-6)*f*(f**(2/5))**(-34))/((f*f**0*f)**(-8/7))**17 assuming f is positive. f**(6416/315) Simplify (i*i/i**(1/8))**14*i**9*i/(i*i**(-10))*i assuming i is positive. i**(185/4) Simplify (((w**2)**(7/3)*w**5*w/(w**0/w))**(-4/23))**27 assuming w is positive. w**(-1260/23) Simplify (u**(-7)*u*u*u**(-3)*u)**(2/79)/((u**(1/3)/(u**3/u))/((u**2/u)/(u*u**(-7)))) assuming u is positive. u**(2012/237) Simplify (((n/((n*n*n*n*n**3*n*n)/n))/((n**8/n)/n))**(-6))**(-3/4) assuming n is positive. n**(-117/2) Simplify ((w*w**(-1))/w*w*w**20*(w**17/w)/(w**(-19)*w))**(-29) assuming w is positive. w**(-1566) Simplify (b*b**(2/27))**(-43)/((b*b/b**32)/b**(2/73)) assuming b is positive. b**(-31847/1971) Simplify ((f**(-11)/f**(-2/17))/(f**2)**46)**(-12/11) assuming f is positive. f**(1908/17) Simplify j**(-9)/(j/(j*j/j**(-3/5))*j)*(j**(-8/15)/j)**34 assuming j is positive. j**(-908/15) Simplify (((u/(u*u*u**(2/19)*u))/(u**3/u))/(u/u**1)**(1/49))/((u*u**(-2/13))/(u*u/(u**(-2)*u)))**(-15) assuming u is positive. u**(-8994/247) Simplify (((p*p**14/p*p*((p*p**(-16))/p)/p)**(-29))**(-1/3))**(-20) assuming p is positive. p**(1160/3) Simplify (r*r**(-1)*r**(-5)*(r*r**(-5))/(r/(r/(r*r**(-4/3)))))/(((r/r**(-1)*r)/r)**31)**(14/3) assuming r is positive. r**(-298) Simplif
{ "pile_set_name": "DM Mathematics" }
of c**2/2 - c - 2. Let y be v(2). Solve -y + 4 = 3*h for h. 1 Suppose 3*q - 13 = -1. Let p = q - 4. Solve a - 4*a + 3 = p for a. 1 Let k = -7 + 9. Solve k*a + 2*a - 8 = 0 for a. 2 Suppose 6 - 18 = -2*y + 2*q, 5*y = -5*q. Solve -y*f + f = 0 for f. 0 Let t = 4 + -1. Let m = 8 - t. Solve -m*o + 0*o - 15 = 0 for o. -3 Let v be -3*10/(-3)*-1. Let z(c) = c**2 + 9*c - 7. Let d be z(v). Solve d = f + 2 for f. 1 Suppose -5*w + 31 + 0 = -2*f, -5*w + f = -33. Suppose -w*u + 3*u = -8. Let v = 6 + -3. Solve v*a - u*a = -3 for a. -3 Suppose 7*g - 24 = 3*g - 4*w, 3*g + 2*w - 17 = 0. Let f be -2*((-10)/4 - -1). Solve -g*u = -2*u + f for u. -1 Let t be (-6)/15 + (-52)/(-5). Suppose k = -5*p + t - 1, -15 = -4*k + p. Let i(l) = -l**3 + 3*l**2 + 4*l. Let b be i(k). Solve b = -0*n + 2*n for n. 0 Suppose p - 4*s + 6 = 0, 5*p - p + 3*s + 5 = 0. Let c = 0 - p. Suppose -3*t + c*t = 0. Solve -2*o + t - 4 = 0 for o. -2 Suppose -o + 0*o + 8 = 0. Solve -7*z + 3*z + o = 0 for z. 2 Suppose 0 = -6*d + 2*d + 24. Let y = d + -4. Solve -1 - 3 = -y*f for f. 2 Let q(n) be the first derivative of n**2/2 - 6*n - 3. Let a be q(6). Solve a = -4*z + 6*z + 8 for z. -4 Let u be 1/2 + 1*6/4. Solve u = -h + 5 for h. 3 Let m be (-1 - -2)/((-2)/(-6)). Let t = 5 - 7. Let n = 4 + t. Solve 0 = s + n*s + m for s. -1 Let x be (-2 - 5)*2/(-1 + -1). Solve 3*n - 4 = -x for n. -1 Let w be (-48)/18*9/(-4). Let y(u) = u**2 - 6*u + 3. Let s be y(w). Suppose -s*a = -0*a - 6. Solve r + 2 = -a for r. -4 Suppose -d - 6 = 5*r, 3*d + 0 - 12 = 0. Let a = -1 - r. Solve 0 = -b - a + 4 for b. 3 Let v = -11 + 15. Suppose 3*d - 5*p + p - 28 = 0, -v*d = -2*p - 24. Let h = -26 - -38. Solve -d*c = -c - h for c. 4 Suppose g = 12*g - 88. Let n(k) = 2*k + 0*k - 5 - 3*k. Let f be n(-5). Solve -2*i + 0*i + g = f for i. 4 Let l(k) = -k**2 - 9*k - 5. Let d be l(-8). Suppose 5*n + d*j - 23 = 2*j, -29 = -5*n - 3*j. Solve 0 = -3*u + n + 5 for u. 3 Suppose -2*c + 0*c = -2. Let r be -10*c*2/(-4). Solve p = r*p for p. 0 Suppose 3*v + 0*v + 7866 = 0. Let l be v/(-90) - 2/15. Let u(k) = 2*k - 3. Let f be u(4). Solve -f*j = -l + 9 for j. 4 Let m = -29 - -30. Solve i - m = 3 for i. 4 Suppose 0 = -4*g + 5*x - 2 - 5, 0 = 5*g - 2*x - 4. Solve -3*o + g*o = -2 for o. 2 Let m be (-1)/(-4) + 55/20. Suppose -m*f + 3 = -9. Solve 0 = -f*z - 4 - 0 for z. -1 Suppose 0 = o + 2*o - 6. Suppose -3*y + 6*y + o*p = 14, 4*y - 2*p = 0. Let z be (6/(-4) + y)*0. Solve -c + 3 = -z for c. 3 Let v be 5 + ((-3)/1 - -3). Solve 0*b = 5*b + v for b. -1 Let h be 3*26/12*4. Solve -h + 1 = 5*n for n. -5 Let w(i) = -i**2 + 5*i + 2. Let y be w(5). Suppose -6 + 22 = -2*d. Let g be y/d + (-100)/(-16). Solve -4 = -2*v + g*v for v. -1 Let f be -6*((1 - 1) + 1). Let r be (-2)/f + (-4)/(-6). Solve 5 - r = t for t. 4 Let p = 0 + 3. Suppose -16 = -p*k - k. Let o be ((-9)/4)/((-1)/k). Solve -2*t - o = t for t. -3 Let c = 38 + -28. Solve 2*v + c = 2 for v. -4 Let c be 0/(-1) + 1 + -3. Let r be ((-14)/c)/(0 - -1). Let m = 170 + -165. Solve -r*v + m = -2*v for v. 1 Let r be (-3 - 0/(-4)) + 5. Solve r = 2*x - 4*x for x. -1 Let h(q) = q + 12. Let v be h(-9). Suppose -2*n + 4 = -f, -2*n - v*n = -f - 16. Solve n*z - 3 = 1 for z. 1 Suppose 4*a = 5*f - 67, -19 = -2*f - 0*a - a. Let k = f + -2. Solve 4*p - k = p for p. 3 Let u = -2 + 8. Suppose f + 3*f = 12. Solve -u = f*y - 0*y for y. -2 Let k be (-76)/(-16) + (-3)/(-12). Let x be 3/15 - (-1)/(-5). Solve -k*p + x*p = 0 for p. 0 Let q(z) = -z**2 + 9*z - 8. Let j be q(7). Let o = -1 + j. Let b = -5 + o. Solve b = 4*a - 0*a - 12 for a. 3 Suppose a = -3*a + 60. Let q(o) = -o**2 - 6*o + 1. Let s be q(-6). Let l be (s/3)/((-6)/(-54)). Solve -l*f - a = 2*f for f. -3 Suppose 5*h - 36 - 4 = 0. Solve -h*d + 4 = -7*d for d. 4 Let m be (4/6)/((-2)/(-3)). Let g be -1 + m + (7 - 3). Solve w = -g*w - 20 for w. -4 Let y be ((-10)/(-8))/(2/8). Suppose 0 = y*f - 4*f. Solve -z = -f - 2 for z. 2 Let f be (3*-1)/(((-231)/(-14))/(-11)). Solve f*w - 4 = -0*w for w. 2 Let s(m) = m**2 - 7*m - 18. Let g be s(9). Solve g*u = 2*u - 10 for u. 5 Let h be -3*4*(-2)/6. Let o = -5 + 10. Solve o*v - 2 = h*v for v. 2 Suppose 3*l - 35 = -8. Let m be (-4 + l/2)*6. Solve -20 = a + m*a for a. -5 Let g(x) = -x**3 + 2*x**2 + 2. Let m be g(2). Suppose -m*k + 1 = -3. Solve -3 = 5*l - k*l for l. -1 Let x = -4 - -7. Let v be (1/(-3))/((-1)/x). Let w(z) = 5*z - 1. Let a be w(v). Solve -16 = a*n - 0*n for n. -4 Suppose -16 = -2*u - h, -4*u + 3*h - 24 = -7*u. Solve u*m + 6 = 5*m for m. -2 Let c(q) = q**2 - 10*q + 20. Let m(g) = -g**3 + 10*g**2 + 11*g + 8. Let p be m(11). Let d be c(p). Solve -u = -d*u for u. 0 Suppose -9*a = -12*a. Solve 0 = -a*j + 3*j + 15 for j. -5 Let t = -8 + 8. Suppose 2*y + y = t. Solve y*u = -3*u + 9 for u. 3 Suppose 21 = -v - 5*c, 3*v = 2*c + 11 + 11. Suppose -5 = 2*h - 0*h - 5*q, v*q + 20 = 4*h. Solve h = -3*d + 4 for d. -2 Let c = 10 - 8. Suppose -c*q = -q. Suppose 5*u - 26 = -3*x, -2*x + 4*u = 5*u - 8. Solve q = x*m - m for m. 0 Let z = 2 - 1. Let s = 14 - 5. Let w = s + -6. Solve -4*d = z + w for d. -1 Suppose -5*v + 8 = -17. Let l(z) = -z**2 + 4*z + 5. Let u be l(v). Solve u*i + 15 = 3*i for i. 5 Suppose 4*g - 10 = -g. Let h = g - -4. Solve -h = k + k for k. -3 Let h = 23 + -9. Let v = 14 - h. Solve 4*p - 8 + v = 0 for p. 2 Suppose 2 = -0*o + o. Suppose 0 = 2*p - 5*b + 4 + 1, 4*b = 3*p + 4. Suppose 2*w + t - 12 = -2*w, 5*t - 20 = p. Solve 10 = o*z + w for z. 4 Let q be 8/(-3)*(-6)/4. Let b be 1/3 - q/(-6). Let k be (-1 + 2/2)/b. Solve -7*g + 4*g + 6 = k for g. 2 Let s be (0 - 1)*(5 - 5). Solve z - 4 + 0 = s for z. 4 Let z = 14 + -9. Solve -z*q + 10*q = -20 for q. -4 Suppose -12 = -2*j - 4. Solve -j*l + 3*l - 2 = 0 for l. -2 Let u be (-8)/20 + (-12)/(-5). Solve u*g - 1 = 3 for g. 2 Let v be (3/3)/(1 + 1/(-2)). Solve 0*d = v*d - 10 for d. 5 Suppose 0 = x + l + 1, 5*x - 4 = -2*l - 3. Let s = x - -2. Solve s*b + 10 = b for b. -5 Let x = -3 - -7. Solve -x*f + 20 = f for f. 4 Let o(v) = -v**3 + 12*v**2 - 10*v - 7. Let t be o(11). Solve -t = w + w for w. -2 Suppose 0 = 19*r - 18*r. Solve -1 = -p - r*p for p. 1 Suppose -4*s + 4 = -0*s, 0 = -2*n - 3*s + 11. Let f be (-34)/(-6) + (-2)/3. Suppose -2*m - w + 7 = m, n*w = -m - f. Solve 0 = -m*j + j for j. 0 Suppose -4*k = 3*g - 190, 23 = 5*k - 5*g - 197. Suppose -5*f + k = 4*o - 6, 2*f = -5*o + 48. Solve -a - 3 = -o for a. 5 Let p = 27 + -14. Suppose -5*d = -p - 2. Solve v - d = -0 for v. 3 Let l(g) = g**2 + 15*g + 16. Let c be l(-14). Suppose 4*r = 5*t + 14, 0*r - 5*t - 13 = -3*r. Let o be r*(4/2 - 2). Solve -3*n + 4*n - c = o for n. 2 Let f be (-3)/(2 + -1) - -11. Suppose 0 = -4*v + f. Solve 7*u = v*u + 5 for u. 1 Suppose -21 - 11 = 4*o. Let v = -3 - o. Solve v - 11 = -2*j for j. 3 Suppose 8 = 2*b, -4*z - 2*b + 44 = b. Solve -3*r = -z*r for r. 0 Suppose 5*y - y + 6 = -g, -36 = -4*g + 4*y. Solve u = -g + 9 for u. 3 Let x(s) = s + 1. Let o be x(-6). Let k be 0 + 0 + (-3 - o). Solve k*f - 6*f = -4 for f. 1 Let j = 14 + -13. Solve -3*t - j = 5 for t. -2 Suppose 19 = 5*g + 3*k, -g + 0*k + 9 = -2*k. Suppose g*x + 20 = 0, 0 = -4*t + x + 17 + 15. Solve 3*c - t*c + 8 = 0 for c. 2 Let g(h) = h**3 - 5*h**2 + 6*h - 5. Let l be g(4). Suppose 0 = 3*n + 3*c - 18, 4*n + c - 6 - 6 = 0. Solve -11 = -n*p - l for p. 4 Let a(x) be the first derivative of -x**3/3 - x**2/2 - 4. Suppose -4 = -j - 6*q + 5*q, 4 = -2*j + q. Let r be a(j). Solve r = -4*m - 13 + 1 for m. -3 Let y be 1*(0 + 4 + -2). Let j = 123 - 123. Solve y*v + 10 - 4 = j for v. -3 Let q = 2 - -3. Suppose 0 = 3*x + q*r, -3*x - 5*r = -2*x. Suppose -4*i + 8*i - 100 = 0. Solve i = -5*m - x*m for m. -5 Let s = 31 - 19. Suppose -2*u + s = 2*u. Let r be -4*(-1 + 2)*-1. Solve u = r*i - 1 for i. 1 Let u be 1 + 3/((-9)/(-12)). Solve -u*m = -3 - 12 for m. 3 Suppose 0 = u - 6. Suppose u*f = 2*f. Let a be ((-3)/(-2))/(1/2). Solve f = -g + 4 - a for g. 1 Let l be 7/(21/6) + 1. Suppose -o - w + 1 = 0, -w - l*w - 20 = -4*o. Solve o = -s - 1 for s. -4 Let d = 15 + -16. Suppose 5*y + 3*o - 16 = 4, 5*o = -4*y + 16. Let i = y + d. Solve i*x - 10 = 2 for x. 4 Let y(n) be the second derivative of -3*n**5/20 - n**4/12 + 2*n**2 + 3*n. Let x be y(3). Let k be 2/3 - x/6. Solve 0 = 4*f + f + k for f. -3 Let j(u) = -4*u**2 - 4*u - 3. Let h(x) = -9*x**2 - 8*x - 6. Let k(p) = -3*h(p) + 7*j(p). Le
{ "pile_set_name": "DM Mathematics" }
0.11088 + 0.110883549. What is g rounded to 7 decimal places? 0.0000035 Let k = -131.7 + 16.7. Let x = k - -115.00000678. Round x to 7 decimal places. 0.0000068 Let t = -3.2490422 - -3.2426. Round t to 4 dps. -0.0064 Let m = 67992351.999914 - 67992266. Let u = 86.055 + -0.055. Let q = u - m. What is q rounded to five dps? 0.00009 Suppose 0*l = -l + 4*w + 9, -w = -3*l - 28. Let z(h) = -4*h**3 - 9*h**2 - 13*h - 8. Let i be z(l). Round i to the nearest one thousand. 4000 Let z = -15030 - -15058.633. What is z rounded to 0 dps? 29 Let h(b) = -b**2 - 47*b - 76. Let s be h(-37). Suppose n + 3*n = -5*v - 730, -2*v - 2*n - s = 0. What is v rounded to the nearest integer? -142 Let i = 49.726771 - 0.093771. What is i rounded to the nearest integer? 50 Let o = -2.384575 + 2.452. Round o to three decimal places. 0.067 Let f = 356.386 - 396.8. Round f to the nearest integer. -40 Suppose 3395 = 2*r + 3*v + 271, -7856 = -5*r + 4*v. What is r rounded to the nearest 1000? 2000 Suppose -8 = -4*m, 3*m = 6*h - 2*h - 4854. Suppose 3*k = -7*r + 5*r - h, 4*k + r = -1615. Round k to the nearest one hundred. -400 Suppose -3*j = -3*s + 3, -2*j - 2 = 6*s - 3*s. Suppose s = 4*d - 4*w - 53291 - 39517, w = -5*d + 115998. Round d to the nearest 10000. 20000 Let a = -2077196.7 - -2077948.70341. Let h = a + -752. Round h to four dps. 0.0034 Let b = -25931 - -25931.000045771. Round b to six decimal places. 0.000046 Let b = -27.6871444 - -0.0304444. Let u = b + -0.4733. What is u rounded to the nearest integer? -28 Suppose -8*o = -11*o - 3*o - 884220. Round o to the nearest one thousand. -147000 Suppose -3*v = 2*v + 30. Let y be 1/(-5) + v/(-30). Let f be (1 + y - 1) + 621/9. What is f rounded to the nearest ten? 70 Let u be 120/16*2/3. Suppose 0 = -u*y + 3*m + 13594, -7*y + 4*y = -4*m - 8152. What is y rounded to the nearest 1000? 3000 Let k = -12548 + 12472.11. Let g = 65 + k. Round g to the nearest integer. -11 Let a = 313395660.99221 + -313394306. Let w = 1355 - a. What is w rounded to four dps? 0.0078 Let j be (-4)/(-38) + 2524158/1729. Round j to the nearest one hundred. 1500 Let p = 12432 - 12431.999928115. Round p to seven decimal places. 0.0000719 Suppose -148*z = -228*z + 393440. What is z rounded to the nearest 1000? 5000 Let n = -0.2796 - -0.27927204. Round n to 5 dps. -0.00033 Let m = 0.7788 + -35.7488. Let l = -35 - m. Let j = -0.0298 - l. What is j rounded to three dps? 0 Suppose 70*k - 15341496 = 68*k. Suppose -5*q = 3*v + 34112249, 5*v = 2*q - 30172338 - 26681400. Let h = v + k. Round h to the nearest one million. -4000000 Let s(u) = 2*u - 21. Let m = 21 - 11. Let j be s(m). Let k(b) = -7200001*b - 1. Let q be k(j). What is q rounded to the nearest one million? 7000000 Suppose 3*n = 5*h + 11688050, -10*h = -13*h - 12. Suppose -4*b = 5*g + n, 0*b = -5*b + 3*g - 4869994. Round b to the nearest one hundred thousand. -1000000 Suppose 2*c - 350893 = -12*c - 98669. Round c to the nearest one hundred. 18000 Let d be (-89832 + -1 + 0)/((-95)/2280) - -8. Round d to the nearest 100000. 2200000 Let y(o) = 710*o + 10. Suppose -90 = -25*a + 16*a. Let z be y(a). What is z rounded to the nearest 1000? 7000 Let r(n) be the third derivative of -5*n**4/3 + 2*n**3 + n**2 - 26. Let t be r(-4). Round t to the nearest 10. 170 Suppose -3*x + 10 = -a + 3, 0 = -4*a + 8. Suppose -4*o + 2066661 = 5*p, 7*p - x*o - 1240002 = 4*p. Let z = p - 597333. Round z to the nearest ten thousand. -180000 Let j = 73691339.4 + -73692052.4000886. Let s = -1.619 - 711.381. Let l = j - s. What is l rounded to 5 decimal places? -0.00009 Let f = -2.2363 - -2.186192. Let h = -40.935892 + f. Let d = 41 + h. What is d rounded to two decimal places? 0.01 Suppose 105 = -12*a - 63. Let p be 32/448 - (-24683)/a. What is p rounded to the nearest one hundred? -1800 Let v = -589 - -157. Let s = v + 304. Let l = -127.99999813 - s. What is l rounded to seven dps? 0.0000019 Suppose 0 = -5*b - 3779412 - 2344228. Let o = 19075272 - b. What is o rounded to the nearest 1000000? 20000000 Let z = 232 + -231.761. Let q = 0.2192 - z. Round q to two dps. -0.02 Let i(t) = -59*t**2 + 202*t - 11. Let u be i(6). What is u rounded to the nearest 1000? -1000 Let c be (-2)/(((-81)/9)/18). Let y be (-7 + 6 - 1153003) + c. What is y rounded to the nearest 10000? -1150000 Let x = 43385881 - 13880248. Let k = 29505631.2399867 - x. Let g = k - -1.76. What is g rounded to 6 dps? -0.000013 Suppose -8324 = -14*c + 412. Suppose 3*l = -5*o + 16, 7*l - 18 = -4*o + 2*l. Suppose -o*i + 55 = -k - c, 3*k = 3. Round i to the nearest 100. 300 Let x be 0 + (5 - (0/3)/(-3)). Suppose 0 = x*f - 9*f - 12. Let w be (2 + 91248)*(f - -243). Round w to the nearest 1000000. 22000000 Let i = 4073 + -4061.596. Round i to one dp. 11.4 Let n = 6062.00001944 - 6062. Round n to 6 dps. 0.000019 Let g = -214.356 - -214. Let i = g + 0.4228. What is i rounded to two dps? 0.07 Let k(q) = -q**3 + q**2 - q. Let v(n) = 5*n + 6. Let g(o) = k(o) + v(o). Let x be g(3). Suppose -3*f - 25800 = -x*f. Round f to the nearest one thousand. -9000 Let b be (4 - (2 - (-2 + 4))) + 6. Let c(z) = z**2 - 12*z + 25. Let g be c(b). Let a be g*(-12)/(-40) + (-206003)/2. Round a to the nearest ten thousand. -100000 Let u = -93608 + 93603.6619. Round u to zero decimal places. -4 Let g = 9238.6512 + -9236. Round g to one decimal place. 2.7 Let l = 13233 + -13200.964. Round l to the nearest ten. 30 Suppose 17*n + 92151368 = 408134856. Let o = 11637264 - n. Round o to the nearest 1000000. -7000000 Let f = -340 + 312. Let g = -28.281 - f. Round g to 2 dps. -0.28 Let x = 111944 - 111943.9887201. Round x to four decimal places. 0.0113 Let w = 2465118667 - 2465118686.30000111. Let a = 1.864 + -21.164. Let o = a - w. What is o rounded to 7 decimal places? 0.0000011 Let q = 136 - 520. Let k be (q - 3)*(0 + (-3 - -6)). What is k rounded to the nearest one hundred? -1200 Let o = -1.1644 + 1.23818. Round o to 2 dps. 0.07 Let y = -8.8 + -32.2. Let u = y - -41.039. Let n = 0.06 + u. Round n to 2 dps. 0.1 Let f = -23114 - -43873. Round f to the nearest one hundred. 20800 Let d = 1.168 + -222.418. Let o = d - -221. What is o rounded to 2 decimal places? -0.25 Let v be ((-6)/10)/(7/245). Let q be (94207/(-1))/((-7)/v). Let g = 182621 + q. Round g to the nearest one hundred thousand. -100000 Let v(y) = -385*y**2 + 14*y + 62. Let q(m) = -777*m**2 + 27*m + 124. Let z(x) = 6*q(x) - 14*v(x). Let f be z(-4). Round f to the nearest one hundred. 11700 Suppose 5*g - 1945546 + 21433129 + 13200917 = 0. Round g to the nearest 10000. -6540000 Let y = -1019.74 + 9.74. Let a = y + 1009.9999282. Round a to six dps. -0.000072 Let n = -635 + 634.583. Let h = n + -0.033. Let g = -0.585 - h. What is g rounded to 2 dps? -0.14 Suppose -15*n = 5*n - 120. Let z be (-4)/n*-220051 + 18/(-27). What is z rounded to the nearest ten thousand? 150000 Let n = -16644556296 + 16644556087.30001283. Let w = n + 208.7. Round w to 6 decimal places. 0.000013 Let h = -18.3 - -20.44. Let l = -1.57 + h. Round l to one decimal place. 0.6 Let w = -61823387.3 - -1691278.3. Let g = w - -60132103.7999859. Let b = g - -5.2. Round b to 5 decimal places. -0.00001 Suppose -4*x = -2*g - 319798 - 18186178, 3*g + 27759024 = -4*x. Round g to the nearest 100000. -9300000 Let t be 2 - (605590/5 + -6). Round t to the nearest 10000. -120000 Let m = -8.32 + 72.22. Let a = m - 171.1. What is a rounded to the nearest integer? -107 Let k(r) = -794*r - 1502. Let x be k(22). Round x to the nearest 100. -19000 Let s = 69751 + 98549. What is s rounded to the nearest 10000? 170000 Let k = 49.861 + -2.971. Let j = k - 47. Let w = j - -0.10912. What is w rounded to four decimal places? -0.0009 Let g = -0.394 + 220.394. Let w = g - 220.00396. What is w rounded to 4 decimal places? -0.004 Let x = -2843 + 2407.18. Let q = x - -433. What is q rounded to 0 dps? -3 Let n = 18.3 - 16.86. Let g = n - 1.4399989. Round g to seven decimal places. 0.0000011 Let t be ((-8)/6)/(-1 - 7/(-9)). Suppose t*b - 10 = 8. Let c = -64 - b. Round c to the nearest 10. -70 Let u = 2.625 + -1.92. Let x = -0.37 + 0.387. Let a = u - x. Round a to 2 dps. 0.69 Let u(x) = -5*x - 22. Let d be u(10). Let a be (0 - -95649)*(-4128)/d. Let j = -8043876 + a. Round j to the nearest one hundred thousand. -2600000 Let
{ "pile_set_name": "DM Mathematics" }
1*z**3 Collect the terms in -1840 + 2*o**3 - 6*o**3 + 16741. -4*o**3 + 14901 Collect the terms in -3*i**3 - 24*i**3 + 51*i**3 + 2*i**2. 24*i**3 + 2*i**2 Collect the terms in -272581*n + 136292*n + 136309*n. 20*n Collect the terms in 0 + 4 - 3 - 36*x - 9 + 8. -36*x Collect the terms in 290 - 290 + 2845*d - 2845*d - 4*d**2. -4*d**2 Collect the terms in 2740917*k - 1370451*k - 1370467*k. -k Collect the terms in -19*y**2 - y**2 - 17*y**2 + 21*y**2. -16*y**2 Collect the terms in -19 - 16 - 51*b**2 + 35 + 20*b**2. -31*b**2 Collect the terms in -117 - 23*g + 54 - 29*g + 65. -52*g + 2 Collect the terms in 80 - 80 - 28*v**3 + 102*v**3. 74*v**3 Collect the terms in -5502 + 261*h**3 - 986*h**3 + 5502. -725*h**3 Collect the terms in 1 + 0 - 3394*v**2 - 1 + 3397*v**2. 3*v**2 Collect the terms in 441*w**2 - 299*w**2 + 150*w**2 - 297*w**2. -5*w**2 Collect the terms in 62 + 21*n**2 + n - 5*n + n. 21*n**2 - 3*n + 62 Collect the terms in -209428*p - 209402*p + 418804*p. -26*p Collect the terms in -72*o + 295*o - 76*o - 90*o - 79*o. -22*o Collect the terms in 54*n**3 - 7782596 + 7782596. 54*n**3 Collect the terms in 48*z**2 - 453*z**2 - 576*z**2 + 70*z**2 - 135*z**2. -1046*z**2 Collect the terms in 4050*b + 1537*b + 27789*b. 33376*b Collect the terms in -9*x - 7*x + 69 - 69. -16*x Collect the terms in -672*y**2 + 1277*y**2 + 2655*y**2. 3260*y**2 Collect the terms in -5586269*c + 5586269*c + 8*c**3. 8*c**3 Collect the terms in -67381*l + 33181*l - 97811*l. -132011*l Collect the terms in 122*w**2 - 489*w**2 + 2*w + 275*w**2 + 429*w**2. 337*w**2 + 2*w Collect the terms in -91*m + 173*m - 73*m. 9*m Collect the terms in -90*l**3 + 119*l**3 + 86*l**3. 115*l**3 Collect the terms in -3*y + 4*y - y + 258*y**2. 258*y**2 Collect the terms in -11 - 7 + 3 - 300*k + 113*k. -187*k - 15 Collect the terms in 47*p + 194*p - 66*p - 5 + 114*p + 4. 289*p - 1 Collect the terms in 86*b**3 + 59*b**3 + 74*b**3 - 205*b**3. 14*b**3 Collect the terms in -39*v**3 - 46*v**3 + 135*v**3 - 48*v**3 + 129*v**2. 2*v**3 + 129*v**2 Collect the terms in z + 742 - 410 - 367. z - 35 Collect the terms in -2390*p - 486*p - 223*p. -3099*p Collect the terms in 2338*p**2 + 2308*p**2 + 2331*p**2 - 7009*p**2. -32*p**2 Collect the terms in -3*l + 2*l - 31*l + 0*l + 34*l + 0*l. 2*l Collect the terms in -210*f - 287*f + 1 - 294*f + 796*f - 1. 5*f Collect the terms in 1219*i**2 - 626*i**2 + 6184*i**2 + 2*i + 0*i. 6777*i**2 + 2*i Collect the terms in -929*o + 1490*o - 568*o. -7*o Collect the terms in -40*b**3 - 36*b**3 + 177*b**3 - 33*b**3 - 37*b**3 - 32*b**3. -b**3 Collect the terms in 19*v**3 + 2*v**3 - 87*v**2 - 10*v**3 - 74*v**2 + 161*v**2. 11*v**3 Collect the terms in -22*k + 36*k + 686 - 686. 14*k Collect the terms in -3399*g**3 - 2 + 2 + 6890*g**3 - 3500*g**3. -9*g**3 Collect the terms in 101*k**3 - 36*k**3 - 31*k**3 - 53*k**3. -19*k**3 Collect the terms in 1083*n + 1075*n + 1088*n - 3220*n. 26*n Collect the terms in -1937*i - 2286*i - 306*i - 1278*i. -5807*i Collect the terms in -380*v**2 + 380*v**2 + 163029*v**3. 163029*v**3 Collect the terms in 171*d**2 - 55*d**2 - 225*d**2 - 301*d**2 - 305*d**2. -715*d**2 Collect the terms in 10*f + 4*f - 3*f + 13*f + 414. 24*f + 414 Collect the terms in 375*x - 39 + 17 + 22. 375*x Collect the terms in 87158 - 7*j - 87158. -7*j Collect the terms in 21*b**3 - 4 + 27*b**3 + 101 - 5*b**2 + 3*b**2. 48*b**3 - 2*b**2 + 97 Collect the terms in 2*c**3 - 174*c + 3*c**3 - 6*c**3 + 66*c. -c**3 - 108*c Collect the terms in 2 - 7 + 1067*k**3 + 5. 1067*k**3 Collect the terms in 266 + 236 - w + 260 - 1002 + 240. -w Collect the terms in 408*q**2 - 292*q**2 - 117*q**2. -q**2 Collect the terms in -189*u**3 + 610*u**3 - u + u. 421*u**3 Collect the terms in -6*o - 7*o - 4*o + 5*o - 5*o. -17*o Collect the terms in -210 + 37*d - 217 + 848 - 211 - 211. 37*d - 1 Collect the terms in 7*s + 2*s**2 + 5*s - 48*s + 12*s + 11*s + 7*s. 2*s**2 - 6*s Collect the terms in -311162*r**3 + 622306*r**3 - 311167*r**3. -23*r**3 Collect the terms in -124*y - 435*y - 185*y + 153*y. -591*y Collect the terms in 9 - 16 + 5 - 11*f + 1. -11*f - 1 Collect the terms in 8*z + 0*z + 12*z - 11*z - 12*z. -3*z Collect the terms in -57151*x**2 - x**3 + 57137*x**2 + 2*x**3. x**3 - 14*x**2 Collect the terms in 473*a**3 - 2643*a + 2643*a. 473*a**3 Collect the terms in 6655*v + 6663*v - 13323*v. -5*v Collect the terms in -115 - h**2 + 0*h + 438 + h. -h**2 + h + 323 Collect the terms in 7225128*g - 14450227*g + 7225099*g + 3*g**2. 3*g**2 Collect the terms in -17*h - 13*h + 11*h**2 - 10*h - 5 + 40*h. 11*h**2 - 5 Collect the terms in 28*y**3 - 243 + 487 - 31*y**3 - 244. -3*y**3 Collect the terms in 2*v**3 + 2*v**3 - 829*v**2 + 829*v**2. 4*v**3 Collect the terms in 401*u**3 + 10527*u**2 - 398*u**3 - 10527*u**2. 3*u**3 Collect the terms in 6 - 8 - 7*a + 2 - 10*a. -17*a Collect the terms in 8 + 0*a**3 - 2 - 25*a**3 - 4*a**3. -29*a**3 + 6 Collect the terms in -6 - 4279*o + 10 - 4. -4279*o Collect the terms in 803 - 268 - 270 - 265 - 55*s**3. -55*s**3 Collect the terms in 17 + 36*y**3 + 1278*y**3 - 17. 1314*y**3 Collect the terms in -25*d**2 + 2*d**2 + 5*d**2 + 13 - 13. -18*d**2 Collect the terms in -143 - 524 - j + 667. -j Collect the terms in 14*q + 8263 - 23*q - 8263 + 7*q. -2*q Collect the terms in 23*u**2 - 17 + 29*u**2 - 38*u**2 + 17. 14*u**2 Collect the terms in -382*p - 384*p + 130*p**2 + 766*p. 130*p**2 Collect the terms in 161 + 173 - 2*x - 635 + 301. -2*x Collect the terms in 1272*f + 4 - 13 + 7 + 2. 1272*f Collect the terms in 21*w**2 - 14642*w + 14642*w - 132*w**2. -111*w**2 Collect the terms in 2103*j**2 - 14791*j**2 - 2521*j**2. -15209*j**2 Collect the terms in -a**2 + 1349*a - 571*a + 1717*a. -a**2 + 2495*a Collect the terms in -8 - 15*o + 14 - 3 - 2. -15*o + 1 Collect the terms in 19*y + 6*y - 53*y + 2*y**2 + 28*y + y**2. 3*y**2 Collect the terms in 34*m**3 + 178*m - 359*m - 7*m**3 + 181*m. 27*m**3 Collect the terms in -120*t + 26*t + 1 + 28*t + 40*t. -26*t + 1 Collect the terms in -19788*n - 268 + 19788*n - n**3 + 2*n**3. n**3 - 268 Collect the terms in 26 - 26 - 12210*l**2. -12210*l**2 Collect the terms in -134*f**3 - 1868*f + 623*f + 624*f + 621*f. -134*f**3 Collect the terms in -2*u + 7*u - u + 605. 4*u + 605 Collect the terms in 2 - 76*z - 62*z + 56*z. -82*z + 2 Collect the terms in -113*c**2 + 66*c**2 + 52*c**2. 5*c**2 Collect the terms in 339*v - 669*v + 1843*v**2 + 330*v - 1859*v**2. -16*v**2 Collect the terms in 112*f + 126*f - 8*f + 360*f. 590*f Collect the terms in -198*t - 179*t + 378*t. t Collect the terms in -38081*g**2 + 38081*g**2 - 851*g**3. -851*g**3 Collect the terms in -165142*x + 145622*x - 233660*x. -253180*x Collect the terms in 1137*g**2 - 856*g**2 - 282*g**2. -g**2 Collect the terms in 20*c - 74*c + 285*c - 73*c - 70*c - 83*c. 5*c Collect the terms in 3443*j**2 - 1661*j**2 - 1728*j**2. 54*j**2 Collect the terms in 1929*u + 3 - 4 + 2072*u. 4001*u - 1 Collect the terms in -177*m**2 + 639*m**2 - 93*m**2. 369*m**2 Collect the terms in 50*i - 120*i + 68*i + 177*i**2. 177*i**2 - 2*i Collect the terms in 3477199*x - 1738597*x - 1738602*x - 9*x**3. -9*x**3 Collect the terms in -5*u**3 + 3 + 26*u**3 - 3. 21*u**3 Collect the terms in -117 - 175*n + 72 + 45 + 166*n. -9*n Collect the terms in -459*v**2 + 8 + 901*v**2 - 444*v**2 - 8. -2*v**2 Collect the terms in 434*m + 49*m**2 + 425*m + 431*m - 1290*m. 49*m**2 Collect the terms in 209 - 67 - 69 - 73 + 27*u. 27*u Collect the terms in -88*d**2 - 146*d**2 - 109*d**2 - 133*d**2 - 206*d**2. -682*d**2 Collect the terms in 1455*k**2 - 12*k - 2908*k**2 + 1451*k**2 + 3*k + 9*k. -2*k**2 Collect the terms in 288*b + 202*b + 137*b. 627*b Collect the terms in -3*h + 17 + 309 - 161 - 165. -3*h Collect the terms in -16 + 90*q**2 - 20 - 91*q**2 + 56 - 20. -q**2 Collect the terms in 2*v**2 - 15456*v + 7741*v - 6*v**2 + 7713*v. -4*v**2 - 2*v Collect the terms in 135*l - 54*l - 40*l - 43*l - 23 - 18. -2*l - 41 Collect the terms in 836*k**2 - 423*k**2 - 407*k**2. 6*k**2 Collect the terms in -66*c**3 + 6*c**3 - 45*c**3. -105*c**3 Collect the terms in 8*b + 23 - 166 + b. 9*b - 143 Collect the terms in 106*x - 14*x - 10 - 11*x - 82*x. -x - 10 Collect the terms in 10 + 5560*j**2 + 6 - 16. 5560*j**2 Collect the terms in -8384*u**2 + 25177*u**2 - 8393*u**2 - 8388*u**2. 12*u**2
{ "pile_set_name": "DM Mathematics" }
he third biggest value in 0.5, n, -1/3? n Let x = -0.33 - -0.03. Let l = 1.5 + -1.1. Let z be 2/(16/(-6) + 2). Which is the third biggest value? (a) z (b) x (c) l a Let z = -14 - -5. Let w = z - -9. Let i = w + 5. Which is the second biggest value? (a) 2 (b) i (c) 1/2 a Let q = 4453/15 - 297. What is the second smallest value in q, -1/5, -1? -1/5 Let r = 2.9 - 5.9. Which is the smallest value? (a) 3 (b) -0.5 (c) r (d) 2 c Let v(r) = 2*r**3 + 14*r**2 - 2*r - 16. Let p be v(-7). Let m = -341/104 - -25/8. Which is the third smallest value? (a) m (b) 3 (c) p b Let j = 2 - -1. Let x = 7 + -2. Suppose 0*g + g = -3. Which is the third biggest value? (a) j (b) x (c) g c Let q = 4.09 + -0.09. Let n = 8 - q. What is the biggest value in -1, n, -0.2? n Let d = 4.1 - 2.8. Let z = -0.8 + d. What is the second biggest value in 2/3, -0.4, z? z Let j = 0 + 1. Let p = -34 + 30. What is the second smallest value in p, 5, j? j Let q = -0.2 + 0.2. Let u = -0.131 + 0.631. Which is the smallest value? (a) u (b) q (c) 0.2 b Let y = 0.06 + -0.06. Which is the third smallest value? (a) y (b) -2/5 (c) 1/5 c Let p = -6/59 + 95/354. Which is the second biggest value? (a) -0.4 (b) 3 (c) 1 (d) p c Let y = -0.004 - -19.304. Let i = y - 19. Which is the second biggest value? (a) i (b) 1 (c) -1/4 a Let c = 0.02 + 0.98. What is the second smallest value in 2, c, -4/7? c Let w(h) = 2*h**3 - 4*h**2 - h**3 + 9 - 8*h + 7*h - 7*h**2. Let f be w(11). Which is the third smallest value? (a) f (b) 3/4 (c) 0.4 b Let q = -19 - -9. Let d = -14 + -1. Let r = d - q. What is the smallest value in r, -0.3, -2? r Let n be (-52)/14 - 4/14. Suppose 0 = -h + 17 + 1. Let o be (-1 + 15/h)*-1. Which is the second smallest value? (a) o (b) -3 (c) n b Let v = -6 - -6.03. Let f be (-12)/5*((-27)/(-12))/9. Which is the third smallest value? (a) 0.4 (b) f (c) v a Let y = -1/99 + -289/792. Let a = 7 - 10. What is the smallest value in y, a, -0.3? a Let f = -7 - -6.8. Let i = -44/17 + 581/34. Let s = i - 139/10. What is the second biggest value in 0.5, s, f? 0.5 Let q = -148 + 1038/7. Which is the biggest value? (a) -0.2 (b) -2 (c) q c Let d = 3 + -3.2. What is the smallest value in d, -0.4, -5? -5 Let x = 2.2 - 5.8. Let p = -3.37 - x. Let u = -0.03 + p. What is the third smallest value in u, -2/25, -2/9? u Let c = -104 + 104. Let i be (2/4)/(1/(-4)). What is the biggest value in 5, i, c? 5 Let n = -2.51 - -2.8. Let o = -0.01 - n. Which is the smallest value? (a) 2 (b) 1 (c) o c Let w = 10.2 - 11.2. Which is the smallest value? (a) w (b) -11 (c) 4/5 (d) 0.2 b Let v(o) = -2*o**2 + 3*o - 5. Let q be v(4). Let m be (-8)/(-10) - (-10)/q. What is the third smallest value in m, 3, 0.3? 3 Let k(h) = -h**2 + h. Let t be k(0). Suppose 2*p + p = t. What is the second smallest value in 2/23, -3, p? p Let x be ((144/(-30))/(-8))/((-1)/(-15)). Which is the third biggest value? (a) 3 (b) x (c) 1/3 c Suppose 0 = -y - 5 + 4. Let u be (3/(2 - 26))/y. Which is the third smallest value? (a) -5 (b) u (c) 3/7 c Let z = -0.07 + -5.93. Let y = -5.6 - z. Which is the smallest value? (a) 0.3 (b) y (c) -0.2 c Let u = 0.07 + 0.13. Let r = 30 + -44. Let z = r - -10. What is the biggest value in u, z, 2/3? 2/3 Let d = 0.96 + -1. Let g = 2.96 - d. Let j be -2 - 2/(0 - -2). Which is the third biggest value? (a) g (b) -2/15 (c) j c Let y = 0.11 + -0.03. Let o = y - -0.02. Let x be 1 + 2/(-9) + -1. Which is the second biggest value? (a) x (b) o (c) -5 a Let d = 287/372 + -2/93. Let z be (-12)/32*(-2)/(-3). Which is the biggest value? (a) d (b) 0.1 (c) z a Let b = -1.3 - -0.8. What is the third biggest value in 4, 5, b, 2/3? 2/3 Let h = -79 - -85.4. Let z = 6 - h. Let w = -1.2 + 0.2. Which is the second biggest value? (a) z (b) 1/5 (c) w a Suppose 6 = g - 4*g. Which is the third smallest value? (a) 2/5 (b) -1 (c) g a Let y = -9 - -10. Let r = -2 + 0. Let w = 0 + -3. Which is the third biggest value? (a) y (b) w (c) r b Let i = -11 - -16. Which is the biggest value? (a) 0.1 (b) i (c) -4 b Let v(a) = -4*a**2 + 2*a - 1. Let c be v(2). Let n be (12 + -14)/(c/(-1)). What is the biggest value in n, -0.3, 3? 3 Let z = 18 + -10. Suppose -m + 3*n - z = 0, 4*n - 15 = -2*m - m. Which is the third biggest value? (a) -2 (b) m (c) -1 a Let l be (-22)/(-6) + (1 - 5). What is the second biggest value in l, 0.5, -2? l Let j = -0.2 - 0.3. What is the smallest value in 5/2, 4, j? j Let y be (10/144)/(4/(-104)). Let u = -14/9 - y. Let n be 20/50 + 28/(-45). Which is the biggest value? (a) u (b) n (c) 0 a Let i = 30 - 34. Which is the third biggest value? (a) 2/5 (b) i (c) -1 b Let a = -701/35 - -136/7. Suppose 0 = j - 15 - 2. Suppose -22 = 2*u - 3*s, -5*u - j = -0*u + 2*s. What is the smallest value in u, a, 3? u Let f = 15/2 - 7. What is the second biggest value in 4, f, -0.1, 1/5? f Let i = -104/3 + 34. Which is the third smallest value? (a) i (b) 3/11 (c) -0.03 b Let j be ((-7)/(-70))/(2/15). What is the second smallest value in -0.5, -2, j, 2? -0.5 Let r = 7.7 - 8. Let i = r - -0.1. Which is the second smallest value? (a) 3/8 (b) i (c) 0.4 a Let k be 1/(-18)*96/3. Let c = k - -10/9. Let w = -1.7 - -2. What is the second smallest value in c, w, 0.5? w Let z = 0.7 - 0. Let t = -0.4 + z. What is the smallest value in t, -0.4, 3/5? -0.4 Let u = 8.49 + 27.21. Let c = -34 + u. Let s = -2 + c. What is the third biggest value in -2/7, 5, s? s Let g = -286/5 - -58. Which is the second smallest value? (a) 4 (b) 0.02 (c) g c Let x be 106 + (2 + -1)*-1. Let d = -2203/21 + x. Let y = -0.2 + 0.1. Which is the second smallest value? (a) d (b) -3 (c) y c Let p = -11/2 - -103/18. What is the second biggest value in 2/3, 3, 15, p? 3 Let h = -2.8 - -2.7. What is the smallest value in 5, -5, 3, h? -5 Let i = 0.16 - -0.12. Let q = i - -0.02. What is the second biggest value in 1/2, q, 1/3? 1/3 Let s be -4 + (3 - (-18)/2). What is the third biggest value in -1, -3, s? -3 Let v = 8 - 13. Let r = -0.3 + 0.4. Let d = r + -0.1. Which is the third smallest value? (a) 1 (b) d (c) v a Let w(p) = 3*p - 1. Let y be w(1). Suppose 4*d = 4*q - 10 - y, 4*q - 14 = 3*d. Let k be d/((-4)/(-6)*-3). What is the second smallest value in 0.2, 2, k? 0.2 Let b = 1.1 + -1. Let o = -235/3 - -80. Let f be (-2)/(-3)*2/(-4). What is the smallest value in b, f, o? f Let j = -22 - -22.5. What is the third smallest value in 0.03, j, -2? j Let f = -17/84 + -1/21. Which is the second smallest value? (a) f (b) 0.5 (c) -0.3 (d) -3 c Let l = -2 - 3. Let v = 2 + l. Which is the second smallest value? (a) -4/5 (b) 0.5 (c) v a Let b be (-1*2)/(2 + -1). Let j(d) = -4*d**2 + 4*d**2 - 4 - d**2 - 3*d + 3. Let x be j(b). What is the third biggest value in 3, 2, x? x Suppose -3*t = 3*r - 24, 0 = -6*r + 2*r + t + 7. Which is the third smallest value? (a) 0.5 (b) r (c) -2/15 b Let k be 3/9 - (-8)/(-6). Let u be 2/9 + 6/((-1296)/(-33)). Which is the second biggest value? (a) k (b) 0.08 (c) u b Let m = 5/616 - 2263/3696. Let n = m - 1/16. What is the smallest value in n, -0.4, -2? -2 Let p = 23 - 25. Which is the third smallest value? (a) p (b) -4 (c) -2/19 c Let d = 4 - 7. Which is the second biggest value? (a) d (b) 1/2 (c) 3 b Let y(w) = w**3 + 3*w**2 - 4*w + 5. Let l(n) = -n**3 + n - 1. Let m(r) = 3*l(r) + y(r). Let b be m(2). What is the biggest value in b, 1/5, -3? 1/5 Let n = 0.02 - -1.98. Which is the second biggest value? (a) n (b) 5/4 (c) 1/3 b Let x = -2.9 - -3.2. What is the third biggest value in 5, 0.12, x? 0.12 Let w = 0.07 - 1.07. Let l = 1 + w. Which is the smallest value? (a) 2 (b) l (c) 0.2 b Let r = 6 + 4. Let n = 7 - r. Let q = n + 0. What is the second biggest value in 1, 2, q? 1 Let o be (-4)/7 + (1 - 1). Let h = 26 + -13. Let z = 17 - h. Which is the second biggest value? (a) o (b) 3/4 (c) z b Let r = -309 - -312. Let v = 0.7 + -1. Which is the third biggest value? (a) r (b) 0.4 (c) v c Let m = -83/387 - 1/129. Let s = 10.7 + -10. Let l = 1 - s. Which is the smallest value? (a) m (b) l (c) -1/11 a Let q = 101 + -710/7. Which is the third biggest value? (a) -5/2 (b) 0 (c) q a Let t = 0.039 - -8.361. Let v = 8 - t. What is the third smallest value in 3/7, 2/15,
{ "pile_set_name": "DM Mathematics" }
er: 2 or d? d Suppose -2*c + 1 = -5*x + 8, 5*c + 3*x = -33. Let t = 20 + c. Does 15 = t? False Let b = 0.3 - -0.2. Is b at most -0.4? False Let z(y) = -3*y**2. Let h = 3 + -1. Let b be z(h). Which is smaller: -11 or b? b Let d(u) = -u + 15. Let x be d(10). Let v be 3*(-4)/9*-3. Which is smaller: x or v? v Let c(a) = a**3 + 12*a**2 + 10*a + 2. Let t be c(-11). Do 12 and t have the same value? False Let g be (16/12)/(4/(-42)). Let m be (-4)/g + 60/(-357). Which is smaller: -1 or m? -1 Let w be (2/(-4))/((-973)/28 - -1). Which is smaller: 0 or w? 0 Let q(s) = -s**3 - 12*s**2 - 12*s - 8. Let c be q(-11). Let l be (-13 - c)/(-2*1). Which is bigger: 6 or l? l Let l = 217/3 - 73. Let p = 12.14 - 12. Is l != p? True Let d = 14 + -14.09. Let v = d + -0.91. Which is smaller: 3 or v? v Let p be 8/((-4240)/15)*4/(-3). Is 1 at least as big as p? True Suppose 4*b + 46 = -5*h - 13, 3*h + 29 = 4*b. Let t be 2/(-7) - h/63. Let r(v) = -v**2 - 3*v + 10. Let z be r(-5). Which is smaller: z or t? t Suppose 0*q + 2 = q. Let p = -6 + q. Let m(a) = -a - 4. Let v be m(p). Is v at most as big as -1? False Let t = 6.2 - 7. Let p = t + 0.7. Let l be (-1)/2 + (-9)/(-10). Which is bigger: l or p? l Suppose 4*m - 1 = 15. Suppose 0*k = -4*k + 4*y - 4, 3*k + m*y + 3 = 0. Is 2 at most k? False Let u be (-460)/(-715) + 2/(-11). Which is smaller: u or 0? 0 Let g = 477/8230 - -61474237/123450. Let s = -498 + g. Let f = -121/150 - s. Is -1 at least f? False Let l be -3*(1 + 6/(-8)). Which is bigger: l or -0.1? -0.1 Let x = 15 - 11. Does 4 = x? True Let d be (2/5)/(3/15). Let o(k) = k**2 - 4*k + 3. Let a be o(d). Let z be (1 - -2) + a - 6. Which is bigger: -2 or z? -2 Suppose 5*u - 6 + 2 = -4*a, 0 = -4*a - 2*u + 4. Let d be 2*(-1)/(a/(-2)). Let q be (6/(-16))/(d/8). Which is bigger: q or 0? 0 Let k = -45 + 44. Does -1/66 = k? False Let c(s) = -29*s**2 - 2*s - 3. Let t be c(-1). Is -30 <= t? True Let p be (0 + 6/4)*-10. Let j be (4/20)/((-36)/p). Which is greater: j or -1? j Let d = -4 + 15. Which is bigger: 12 or d? 12 Let b = -6 + 9. Suppose c + 5 = 4*d, -5*d - 2*c + 0*c = -b. Which is smaller: d or 2? d Let i(z) = z**3 + 10*z**2 - 9*z + 6. Let r be i(-11). Let x be (-6)/4 - (-8)/r. Which is smaller: x or -3/4? x Let w(a) = a**2 + 3*a + 2. Let o = 2 + -4. Let q be w(o). Suppose 0 = -m + 5*m. Are q and m nonequal? False Let m(d) = d**2 - 6*d. Let k be m(6). Suppose -5*v + 15 = 2*o, 6*v - 20 = v - 3*o. Let y = v + k. Is y smaller than -2/7? False Let i be 5 - 0*3/12. Suppose -15 = -5*b + 3*o, -4*b + 0*o - i = o. Is b greater than -6/5? True Let s = 0.06 + -2.06. Let r = 134 - 54. Let q be (2 - r/42)*3. Which is bigger: q or s? q Let x = -9 + 9. Suppose x = -0*w - w + 1. Which is smaller: w or 2? w Let c = 0.5 - 1.5. Let i = c - -2. Which is greater: 2/9 or i? i Suppose -c + 2*y = 9, -2*c - 9 = 3*c - y. Let z be c - (-16)/6 - 1. Is 0.3 <= z? True Suppose -4*v = q - 4*q - 23, -2*q = 4*v + 2. Suppose -4*i = v*m - 2, -47 = -2*m + 5*i - 18. Let n be (-1)/(-2*m/2). Which is bigger: n or -1? n Suppose 6*c = 9*c + 156. Which is smaller: c or -51? c Let i = 10.6 - 5.5. Let n = i + -0.1. Which is smaller: -2/3 or n? -2/3 Let s = -3 + 4. Let d be (s + 1 + -1)*-2. Let l = 1 + d. Is l at least as big as 1? False Let y = 0.7 - 0.6. Which is smaller: -8 or y? -8 Let g = 23/2 - 15. Which is smaller: -4 or g? -4 Suppose k = -4*b + 8, -3*b + 56 = 4*k + b. Which is bigger: k or 2/3? k Let o(m) = m**2 + m + 1. Let p be o(-4). Suppose -j = -4*n + p, j = 5*j + 5*n - 11. Is j <= 0? True Let y be (-12)/(-10)*5/2. Let x = -2 + y. Which is bigger: x or 1/17? x Let s = -24 - -36. Let n be (2/(-4))/(s/16). Is -2 at least n? False Suppose 0 = -4*c + 56 - 172. Is c >= -28? False Suppose 3*z + 3*z + 6 = 0. Let s = -3/14 + 29/70. Is s smaller than z? False Let u be (-3)/27 - 2/9. Is u >= -1? True Let g = -16 + -39. Which is bigger: -54 or g? -54 Let q be 1/4 - 1977/(-12). Let l be (-4)/(-22) - (-80)/q. Let i be (-4)/(-22) - 0/(-1). Which is bigger: i or l? l Let n(p) = p**3 + 4*p**2 - 2*p - 1. Let v be n(-4). Suppose -v = -10*m + 11*m. Which is smaller: -6 or m? m Suppose -3*f + 6 + 0 = 0. Suppose d - 40 = -3*d. Suppose 2*g = -2, -5*g = b + 4*b - d. Which is smaller: b or f? f Let z = 7333/273 - 48/91. Which is smaller: 27 or z? z Suppose -9*y = -3*y + 30. Is y less than or equal to 0.1? True Suppose -3*r = 5*m - 7, -3*m + 2*m = 4*r + 2. Suppose 2 = 2*g - 8. Suppose g*z = 2*z - 6. Which is smaller: r or z? z Let c be 2 + ((-80)/(-6))/1. Let f = 239/15 - c. Let o be -3*((-8)/(-6) + -2). Which is greater: o or f? o Suppose 4*h = -5*j + 3*j - 4, 3*j + 5*h = -4. Let g be (-1)/(j*3/6). Which is smaller: g or -1/8? g Let f = -3.3 + 6.5. Let u = f - 3. Let r = 0.03 - -0.07. Which is greater: u or r? u Let w = 3 + -3.6. Let n = -1.6 - w. Let h = 8 - 5. Which is greater: n or h? h Suppose -1 = -c + 4*z, c - z = 2 - 1. Let h be 0 - ((-6)/(-27))/c. Let n be 6/(-15) + (-7)/(-5). Which is smaller: n or h? h Let m = 6 - 7. Let b be m/(-2)*(8 + -2). Suppose 5*i - i + 14 = -b*u, 3*u - 4*i = 2. Is -1 at most as big as u? False Let a be ((-6)/4)/((198/(-8))/(-11)). Which is smaller: 0.44 or a? a Let u(t) = -3*t**3 - 5*t**2 - 5*t - 4. Let y(g) = g**3 + 2*g**2 + 2*g + 2. Let m(s) = 2*u(s) + 5*y(s). Let a be m(2). Which is greater: -7 or a? a Let u = -0.127 - 0.873. Is u <= 6? True Let q be 31/6 - 4/24. Suppose -2*h + q = -5*f, 5*h + 3*f = -0*h + 59. Which is bigger: h or 11? 11 Let x = 312 - 307. Let q = 17/84 - -1/21. Which is smaller: q or x? q Let y(r) = -2*r + 18. Let v be y(9). Let t be (-80)/585 + (-1 - -1). Let m = t + -4/13. Which is smaller: v or m? m Suppose -r + 4*r = -18. Let x be 9/r*(-2)/7. Which is greater: x or 0? x Let n be 4/6*21/(-56). Which is smaller: -2/15 or n? n Suppose -m + 1 = 0, -5*g - 2*m - 2*m = -4. Suppose 0 = -c + 1. Let b = g - c. Which is smaller: -4/7 or b? b Let b be 1/(-4) - 63/(-924). Let f be (-2)/(-4) + (-15)/18. Does b = f? False Let c = 6 - 3. Is c < 15? True Let t = 94/185 - 4/37. Suppose -2*s = 3*s + 5. Is s smaller than t? True Let a be -4 + 4 + 4/(-6). Let w = 6.86 - -0.14. Is a greater than w? False Let j(f) = 2*f - 17. Let p be j(8). Let b = -3226/15 - -215. Is b bigger than p? True Let k be (2 - 90/(-4))*2. Let n = 149/3 - k. Suppose 3*h = -r - 2 - 3, 4*r + 20 = 2*h. Which is bigger: h or n? n Suppose 2 = -2*s + s. Let w be ((-2)/(-20))/((-2)/16). Which is bigger: w or s? w Let b = -21/13 + -2/39. Is -3 < b? True Suppose 4*a - 3*u = 25, -2*a + 4*u + 3 = -7. Suppose -4*s = -a*s - 3. Which is smaller: s or -4/7? s Let j = -352/7 - -50. Which is smaller: j or -0.2? j Let d = 10.9 + -12. Let i = d - -1. Let q(s) = s - 1. Let z be q(-1). Is z equal to i? False Let x be 1 + (-85)/15 - -4. Is 6 less than x? False Let z be (8 + -2)*14/126. Which is greater: z or 2? 2 Suppose -2*m + 4 = -2*y + 5*y, 3*y + 4 = 2*m. Which is greater: -2/31 or y? y Let j = 15 + -17. Are -0.3 and j equal? False Suppose -9 = 2*f + 7*i - 2*i, -3*f = -5*i + 1. Let d be (-9)/6 - 13/f. Let p be 10/(-20)*d/2. Which is smaller: p or 0? p Suppose -k - w = -2*w + 2, 2*w = k + 5. Let t be 2*k + (-64)/24. Is -4/5 at most t? True Let k = -109 - -1637/15. Are k and 0 nonequal? True Let w be 1 + (0 - 43/10). Let o = w + 14/5. Let b be (-18)/(-24) + (-14)/8. Which is smaller: o or b? b Suppose -28 = 2*u + 14. Is -22 <= u? True Suppose -i = -0*i - 3. Let m be 0/3 + 4/1. Suppose -m*b + 7 = -9. Which is smaller: b or i? i Let w be (((-4)/5)/(9/45))/1. Which is smaller: -5/2 or w? w Let w(v) = v**3 + 5*v**2 - 7*v - 4. Let n be w(-6). Which is smaller: n or -2? -2 Suppose 0 = 5*k + 2*f + 6 + 17, 5*k = f - 11. Suppose -2*m + 2*b = -2*b + 20, 0 = -b + 3. Let u = m - k. Are u and 3 unequal? True Let c = 0.2 - 0. Let l = -2707/100 + 598/25. Let g = -11/4 - l. Which is smaller: g or c? c Suppose -m - 11 = -4*l, 5*m = -5*l + 43 + 2. Let g(o) = -o + 7. Let i be g(m). Is i < 2? False Let i = -3.44 + 0.24. Let y = 0.28 + -3.28. Let d = y - i. Are 1 and d non-equal? True Let b(k) = -k**3 - 10*k**2 + 3*k + 12. Let m be b(-10). Which is greater: m or -19? m Suppose -4 + 14 = -5*a. Let w be (-1)/(2 + (-3 - a)). Let z(v) = v**3 + 8*v**2 - 10*v - 11. Let q be z(-9). Is q bigger than w? False Let d be 3*((-4)/(-3) - 1). Suppose -d + 3 = -x. Let w
{ "pile_set_name": "DM Mathematics" }
5 Let y(p) = -2*p - 7. Give y(-3). -1 Let i(k) = 5*k + 1. Determine i(-1). -4 Let l(q) = q**2 + 10*q + 10. Determine l(-10). 10 Let l(t) = t**2 - 6*t - 4. What is l(7)? 3 Let z(x) = -x + 98. Calculate z(-10). 108 Let k(b) = -3*b - 14. Determine k(-6). 4 Let t(s) = 19*s**2 - 134*s + 6. Give t(7). -1 Let x(h) = -h**3 + 5*h**2 + 16*h - 13. Calculate x(7). 1 Let n(h) = -h**2 + 4*h + 12. Determine n(-4). -20 Let d(q) = -q**3 - 9*q**2 + 4*q - 5. Give d(-10). 55 Let t(r) = 6*r + 171. Calculate t(-32). -21 Let w(r) = -r + 5. What is w(-7)? 12 Let o(k) = 3*k**2 + 12*k - 2. Calculate o(-6). 34 Let u(n) = n**3 + 7*n**2 + n + 10. Determine u(-7). 3 Let n(o) = -9*o**3. Determine n(-2). 72 Let p(s) = -s**3 - 12*s**2 + 31*s - 2. Calculate p(-14). -44 Let h(l) = l**3 + 3*l**2 + l - 2. Give h(0). -2 Let a(f) = -f**3 - 11*f**2 + 2*f + 13. Give a(-11). -9 Let o(t) = -3*t**2 - 41*t - 78. Calculate o(-11). 10 Let w(t) = 16*t + 5. Determine w(-3). -43 Let u(o) = -34*o + 14. Determine u(4). -122 Let l(p) = p**2 - 3. Give l(-6). 33 Let k(h) = h**3 + 3*h**2 - 16*h + 13. Determine k(-6). 1 Let z(t) = -t**2 - t + 17. What is z(-4)? 5 Let u(n) = -n**2 - 6*n + 43. What is u(4)? 3 Let b(d) = -d**2 - 6*d - 5. What is b(-8)? -21 Let o(i) = i**3 - 11*i**2 + 6*i + 13. Determine o(9). -95 Let w(b) = 3*b - 4. Calculate w(2). 2 Let l(v) = -v**2 + 7*v - 14. Calculate l(2). -4 Let c(k) = -4*k**2 - 26*k - 34. Calculate c(-6). -22 Let w(s) = -s**2 + 2*s + 41. Determine w(9). -22 Let q(v) = 15*v - 500. What is q(33)? -5 Let z(o) = 5*o + 25. Determine z(-5). 0 Let g(z) = -2*z**2 + 30*z + 99. Determine g(-3). -9 Let z(l) = 2*l**2 + 8*l + 11. Give z(-4). 11 Let v(n) = -4*n**2 - 5*n - 1. Give v(1). -10 Let v(k) = -k**3 + k**2 + 2*k + 2. Give v(-3). 32 Let y(x) = x - 19. Give y(13). -6 Let c(f) = f**2 - 7*f + 7. Determine c(5). -3 Let v(c) = -14*c**2 + 3*c + 4. Give v(-1). -13 Let f(m) = -62*m + 304. Determine f(5). -6 Let n(v) = -3*v - 34. Give n(-9). -7 Let d(k) = -k + 3. What is d(5)? -2 Let m(r) = 2*r**2 - 18*r - 36. Give m(11). 8 Let w(b) = 2*b + 9. Determine w(-4). 1 Let x(j) = j**2 - 2*j. What is x(-3)? 15 Let q(s) = 2*s**2 - 7*s - 3. Calculate q(6). 27 Let l(c) = -38*c**3 + 2*c - 1. What is l(1)? -37 Let y(z) = 2*z**3 + 106*z**2 + 5*z + 264. Determine y(-53). -1 Let k(m) = m + 1. Determine k(1). 2 Let x(y) = -6*y. Calculate x(1). -6 Let g(b) = 2*b. Calculate g(2). 4 Let b(n) = 6*n - 40. Determine b(6). -4 Let a(m) = -m**3 - 8*m**2 - 10. Give a(-8). -10 Let l(r) = -19*r**3 + r**2 + 2*r + 1. Determine l(-1). 19 Let f(k) = -6*k - 42. Determine f(13). -120 Let a(c) = -2*c - 14. Calculate a(-4). -6 Let m(a) = -a**2 + 4*a + 19. Determine m(7). -2 Let i(y) = y**3 + 4*y**2 - 2*y - 1. Determine i(-5). -16 Let m(k) = 28*k - 1. Determine m(1). 27 Let f(m) = 2*m + 61. Determine f(-26). 9 Let d(z) = 2*z**2 - 15*z - 14. Determine d(-1). 3 Let v(h) = -h**3 + 38*h**2 + 41*h - 82. What is v(39)? -4 Let w(s) = -s**3 - 50*s**2 + 49*s - 93. What is w(-51)? 9 Let g(h) = h**2 + h - 14. Determine g(5). 16 Let b(d) = 2*d**2 - 13*d + 4. Calculate b(5). -11 Let h(l) = -10*l - 14. What is h(-2)? 6 Let v(h) = -86*h + 431. Calculate v(5). 1 Let m(o) = -o**2 - 4*o - 6. Give m(-3). -3 Let u(v) = -v**3 + 7*v**2 + 8*v - 1. Give u(8). -1 Let a(h) = -2*h**2 + 4*h + 18. What is a(5)? -12 Let s(g) = -g**3 + 12*g**2 - 3*g + 12. Give s(12). -24 Let v(k) = -k**3 - 17*k**2 - 22*k - 18. What is v(-16)? 78 Let b(z) = -z**2 - 12*z - 13. What is b(-9)? 14 Let d(o) = -2*o**2 + 10*o - 25. Determine d(9). -97 Let d(k) = -2*k**2 - 65*k + 39. Give d(-33). 6 Let d(s) = s**2 - 8*s - 8. Give d(-7). 97 Let m(t) = t**3 - 29*t**2 + 28*t + 5. What is m(28)? 5 Let g(a) = a**2 - 11*a - 9. Give g(15). 51 Let h(i) = -i**2 + 7*i - 5. Give h(3). 7 Let f(g) = -g**2 - g. What is f(3)? -12 Let j(y) = -y**2 - 12*y - 10. What is j(-11)? 1 Let g(q) = -15*q + 34. Determine g(3). -11 Let r(g) = -g**3 + 7*g**2 - 7*g + 11. What is r(6)? 5 Let m(v) = 29*v - 49. Calculate m(5). 96 Let z(o) = o**2 - 19*o + 86. Determine z(10). -4 Let t(f) = -15*f - 10. Determine t(5). -85 Let z(r) = 7*r. Give z(4). 28 Let p(a) = a**3 - 7*a**2 - 5*a + 10. Determine p(7). -25 Let o(m) = -m**3 + 8*m**2 - 2*m - 5. Determine o(8). -21 Let c(o) = -2*o**3 - 42*o**2 + 44*o - 32. Determine c(-22). -32 Let x(m) = -2*m**2 + 3. Calculate x(-2). -5 Let s(g) = g**2 + g - 3. What is s(-5)? 17 Let i(k) = -k**2 - k + 73. Calculate i(0). 73 Let z(o) = -o**3 + 6*o - 4. Give z(5). -99 Let x(h) = -h**3 - 8*h**2 + 10*h - 2. Determine x(-9). -11 Let d(n) = -2*n**3 + 13*n**2 - 3*n - 14. Give d(6). 4 Let j(v) = -3*v**3 + 61*v**2 - 19*v - 5. What is j(20)? 15 Let y(c) = -16*c**2 + 4*c. What is y(3)? -132 Let i(z) = -4*z + 133. Determine i(33). 1 Let m(k) = k**2 + 13*k + 38. What is m(-10)? 8 Let t(n) = -46*n + 635. Give t(14). -9 Let z(x) = -2*x + 20. What is z(5)? 10 Let f(i) = -i**2 + 2*i - 9. Determine f(0). -9 Let g(c) = -c**3 - 36*c**2 - 30*c + 116. What is g(-35)? -59 Let h(i) = -i**3 + 7*i**2 + 6*i - 6. Calculate h(8). -22 Let j(q) = -23*q + 450. Give j(20). -10 Let o(y) = -y**2 + 18*y + 11. Give o(18). 11 Let c(y) = 7*y - 308. Determine c(42). -14 Let u(g) = -g**3 - 8*g**2 - 14*g - 16. What is u(-6)? -4 Let o(q) = q**3 - 12*q**2 - 5*q - 8. Determine o(12). -68 Let b(n) = -7*n - 53. Determine b(-8). 3 Let m(k) = -2*k**2 - 7*k + 35. Calculate m(3). -4 Let h(w) = -w**2 + 30*w - 170. Determine h(8). 6 Let x(p) = p - 5. Calculate x(-10). -15 Let n(x) = -12*x - 5. Calculate n(0). -5 Let c(y) = -y**2 + 12*y + 19. Determine c(12). 19 Let y(o) = o**2 + 2*o + 3. Determine y(-8). 51 Let g(f) = 13*f - 16. What is g(2)? 10 Let k(x) = -5*x - 64. Calculate k(-12). -4 Let m(w) = -28*w - 82. Calculate m(-3). 2 Let q(h) = 10*h + 31. Determine q(-2). 11 Let h(z) = -2*z**2 + 9*z - 20. What is h(8)? -76 Let v(q) = -2*q**3 - 7*q**2 - q - 4. Calculate v(-3). -10 Let u(f) = f**2 + 5*f - 5. Calculate u(-5). -5 Let v(a) = -a**3 + 5*a**2 + a + 1. Determine v(5). 6 Let y(j) = -11*j - 30. Give y(5). -85 Let g(a) = 36*a + 2. Give g(0). 2 Let m(d) = -d + 1. What is m(-3)? 4 Let r(g) = g**3 - 14*g**2 - 14*g - 22. Calculate r(15). -7 Let i(v) = -2*v**2 - 2*v - 3. What is i(-2)? -7 Let f(g) = 3*g**2 - 31*g + 11. Give f(6). -67 Let u(q) = -11*q + 29. Determine u(4). -15 Let r(v) = -3*v**3 - 30*v**2 - 3*v - 21. Give r(-10). 9 Let t(y) = y**3 + 4*y**2 + y - 2. Calculate t(-3). 4 Let o(z) = 18*z + 115. Give o(-6). 7 Let q(r) = r**2 + r + 10. What is q(0)? 10 Let d(f) = -25*f + 23. Determine d(1). -2 Let n(r) = -6*r - 13. Calculate n(-4). 11 Let z(h) = -h**3 + 47*h**2 + 4*h - 192. Calculate z(47). -4 Let f(u) = 7*u + 150. Calculate f(-23). -11 Let f(d) = -2*d**2 - 15*d + 56. Calculate f(-10). 6 Let s(g) = g**2 + 2*g - 2. What is s(1)? 1 Let i(w) = 17*w + 1. What is i(0)? 1 Let w(s) = 17*s + 91. Determine w(-8). -45 Let g(j) = 2*j**3 - 5*j**2 + 2*j + 2. Determine g(3). 17 Let s(b) = -b**3 - b**2 - 4*b. Determine s(3). -48 Let w(l) = -10*l + 4. Give w(1). -6 Let w(k) = k**2 + 14*k + 48. Determine w(-4). 8 Let o(p) = -6*p - 4. What is o(5)? -34 Let b(k) = 2*k**2 - 42*k. What is b(21)? 0 Let b(l) = 3*l**2 - 20*l + 34. What is b(8)? 66 Let p(i) = -3*i**3 + 4*i**2 + i - 1. What is p(-2)? 37 Let a(k) = -k**2 + 2*k + 7. Calculate a(3). 4 Let q(r) = r**2 + 5*r + 6. Determine q(-2). 0 Let i(g) = -g**3 + 8*g**2 - 13*g + 14. Calculate i(7). -28 Let p(q) = -2*q**3 + 11*q**2 - 6*q + 13. Calculate p(5). 8 Let h(f) = f**3 - 10*f**2 + 9*f - 7. Calculate h(9). -7 Let z(g) = -g + 24. Give z(30). -6 Let y(i) = -i**2 + 29*i + 27. Give y(30). -3 Let l(n) = -n**2 - 29*n - 55. Calculate l(-22). 99 Let f(z) = 6*z + 161. Determine f(-26). 5 Let t(n) = -3*n**2 + n + 1. What is t(2)? -9 Let v(a) = -8*a + 15. What is v(4)? -17 Let v(l) = -l**3 - 2*l**2 + 4*l + 12. Determine v(-2). 4 Let v(l) = l**2 - 7*l + 6. Determine v(5). -4 Let w(h) = -h**2 + h + 4. Calculate w(-2). -2 Let d(z) = -19*z - 40. What is d(-2)? -2 Let z(j) = j**3 - 48*j**2 + 45*j + 101. Give z(47). 7 Let i(r) = -3*r + 2. Calculate i(4). -10 Let i(t) = 21*t - 3. What is i(3)? 60 Let f(b) = b**2 + 9*b + 7. Calculate f(-9). 7 Let b(c) = 5*c + 13. What is b(2)? 23 Let k(u) = -u**3 + 6*u**2 + 21*u - 19. Calculate k(8). 21 Let j(m) = -m**3 + 3*m**2 + 8*m - 17. Calculate j(4). -1 Let h(r) = -r
{ "pile_set_name": "DM Mathematics" }
of f and 16? 16 Let d = 1961/4 - 496. What is the common denominator of ((-3)/(-144)*-2)/(4/234) and d? 16 Suppose -5*s + 17 = 2. Let n be 36/6*((-7)/s + 3). Find the common denominator of 64/(-18) - (4/n - 2) and -71/27. 27 Let j(h) = -h**2 - 4*h + 20. Suppose 0 = l + 2*l - 4*m + 25, -2*l = 2*m + 12. Let z be j(l). Find the common denominator of 113/20 and z/6*4/((-12)/111). 60 Let d be 55/35 + ((-11)/7 - -2). What is the common denominator of ((-1456)/(-21) + 9)*d/130 and 129/72 + 2/(-4)? 312 Let z = -11460 - -11613. Calculate the least common multiple of 374 and z. 3366 Suppose 4*x - 21 = 27. Let f(g) = 11*g + 9*g + 2*g**2 - 14*g. What is the least common multiple of f(-4) and x? 24 Let u(t) = -t**3 + 29*t**2 + 4*t - 112. Let k(y) = 1 - 6*y - 8 + 3*y. What is the least common multiple of u(29) and k(-5)? 8 Suppose -j - 26 = -46. Find the common denominator of -187/30 and (66/j)/(-7 - (-4208)/560). 60 Let u(k) = 10*k**2 - 3*k - 1. Let r be u(-1). Let g = -2989 - -2997. What is the lowest common multiple of (-12)/(r/(-3)) + 1 and g? 8 Let y be 77957/577464*175/14*-6. Let f = -2/24061 + y. Calculate the common denominator of 39/29 and f. 232 Let c be (-2)/3*2391/4. Let j = 1713 - 2102. Let d = j - c. Find the common denominator of 87/10 and d. 10 Let u = -89 - -89. Suppose u = -3*p + 102 - 75. Calculate the smallest common multiple of p and 48. 144 Let r = 2915216256/16033 - 181826. Let a = r - 1555153/384792. Find the common denominator of -151/54 and a. 216 Let u be ((-6)/224)/((-381)/195 - -2). Let w = u - 1711/1008. Calculate the common denominator of w and -11/14. 126 Let b = -16 - -16. Suppose b = -2*r - 50 - 6. Find the common denominator of (-38)/(-7) - 42/r and -53/8. 56 Find the common denominator of (21/(-10))/((-40)/12) and 19/16. 400 Find the common denominator of 37/1596 and (230/12236)/((-30)/738). 1596 Let r = -1126/317 - -40447/6657. Let v = -308755/77 + 4010. Calculate the common denominator of v and r. 231 Suppose -159*p = -1895 - 1060 - 5313. Calculate the least common multiple of 200 and p. 2600 Suppose -q - 5*y + 19 = 0, 3*y - 6*y = 5*q - 7. Find the common denominator of -25/69 and (3 + (-104)/q)/(-60). 1380 Let v(a) = a**3 + 4*a**2 + 4*a + 12. Let i be v(-5). Let y = -1958 - -3817/2. Find the common denominator of y and (14/(-108))/((-1)/i). 18 Find the common denominator of 127/308 and 17334/18*(-1)/700 + 16/12. 23100 Suppose 40*g = 34*g + 552. Let f be (22/(-6))/(g/(-30) + 3). Suppose r = -k + 36, 3*k - f = -2*r + 18. Calculate the smallest common multiple of r and 20. 140 Let t = 14 + 12. Let f be (-9)/18*(-6 - -2). What is the smallest common multiple of t and 3 - (0 + f + -7)? 104 Let g = -1175148575/2048 - -573803. Find the common denominator of 77/16 and g. 2048 Let f(q) = -q**2 - 14*q - 6. Let m be f(-10). Suppose -2*y = 2*n - m, n - 2 = -1. Suppose -111 = -12*k + 21. Calculate the least common multiple of k and y. 176 Let v = -18154 - -127059/7. What is the common denominator of v and -24/1181? 8267 Let v = 31 + 1. Let y = v - 33. Calculate the smallest common multiple of y/1*(1 - 3) and 58. 58 Let s be (193109/(-5))/(0 + 144/(-15)). Let t = 4024 - s. Find the common denominator of t and -161/30. 240 Let g = 6223/6 + -1035. Calculate the common denominator of -33/3848 and g. 11544 Let i = -1138235249/3560 - -319729. Find the common denominator of i and -39/4. 3560 Let f = -633053/206445 - 3/13763. Find the common denominator of f and 13/297. 1485 Let i(s) = -10*s + 35. Let c be i(-10). Let k = c - 55. Let y = k - 60. What is the lowest common multiple of y and 4? 20 Let q = -35 + 34. Let t be q + -1 + (0 - -46). Suppose 5*p + 3*i - 47 = p, 4*i = -3*p + t. Calculate the smallest common multiple of p and 16. 16 Suppose -24*f + 2178 = 14*f + 28*f. What is the smallest common multiple of 11755/45 + (-2)/9 and f? 2871 Let j = -49 + 47. Let b be (-6)/j - 5195171/(-583740). Let n = -1/5076 - b. What is the common denominator of -42/11 and n? 110 Let o = 516413/8778 + -1293/22. Find the common denominator of -56/57 and o. 399 Suppose 0 = -3*c - 34 + 94. Suppose 5*a = -2*r + 262, -4*a - 516 = -4*r + 36. Calculate the smallest common multiple of c and r. 680 Let p = -9 + 3. Let t = 259/220 + 83/22. What is the common denominator of t and 58/p*(-144)/64? 20 Let l = -1/23068 + 294167/1153400. Calculate the common denominator of 43/72 and l. 1800 Suppose 14*b - 5*b + 189333 = 0. Let k = b - -1156993/55. Calculate the common denominator of -109/20 and k. 220 Let w = 13962/17 - 417109/510. Find the common denominator of -19/66 and w. 330 Calculate the lowest common multiple of 231*((-45)/(-21))/(50/60) and 54. 594 Let o(m) = m - 37. Let h be o(13). What is the common denominator of 23/48 and -2 - 9/h - (27 + -31)? 48 Let w = 5550 + -11091/2. What is the common denominator of 43/7511 and w? 15022 Let f = -162 - -92. Let b = f + 75. What is the common denominator of (b - (-4 + 6))*(-130)/96 and -51/4? 16 Suppose -m + 20 = 4*m. Let u(t) = 2*t**2 - 4*t + 42. Let j be u(7). Suppose 0 = 24*s - 544 + j. Calculate the lowest common multiple of m and s. 36 What is the least common multiple of 7/(154/12588) + (-2)/11 and 52? 572 Let f = 70254/666655 - 6/5797. Let j = 6754/805 - f. Find the common denominator of j and (-66)/(-15) - -3*(-3)/18. 70 Let z be 518476/(-21) + 14/(-21). Let g = z + 691223/28. Find the common denominator of -113/10 and g. 140 Let a(m) be the second derivative of 1/2*m**2 + 0 - 1/6*m**3 - 20*m. What is the smallest common multiple of a(-3) and 20? 20 What is the common denominator of (114/(-368))/(20 - -2 - 5) and 53/8? 3128 Suppose -3*n + 4*n + 5 = 0, 5*h = -3*n + 55. What is the lowest common multiple of h and 1872? 13104 Let l be ((-2)/192)/((-454)/3829987566). Let h = 87876 - l. Let v = 410461/108960 - h. What is the common denominator of 91/30 and v? 30 Suppose -37 = -w + 5*x + 7, 5*w = -2*x + 4. Calculate the lowest common multiple of 1418 and w. 2836 Suppose -97*x - 23 = -123*x + 445. Suppose 0 = 3*z - 4*j + 18, 5*z - j - 5 = -35. Let a = 8 + z. What is the lowest common multiple of a and x? 18 Let l = -333 + 75. Let u = 291 + l. What is the lowest common multiple of 24 and u? 264 What is the common denominator of -59/2196 and -5 + 371/(-42) + (1 - -5 - 2)? 2196 Let h be (-26)/(-6)*1 + 60/(-180). Suppose -h*x + 4*f + 8 = -8, -4*f = 4. Let t = 35 - 17. Calculate the lowest common multiple of t and x. 18 Let q = 838232/63 - 80435/7. Let g = -1817 + q. What is the common denominator of (-66)/(-154) - (82/126 - 0) and g? 9 Let x(g) = 2*g**3 - 7*g**2 + 24*g + 22. Let i be x(17). Let h = 222362/27 - i. What is the common denominator of h and -41/45? 135 Let s = 1/7829343 - -477299917/237490071. Let p = 10/117 + s. What is the common denominator of p and -23/6? 42 Let s = -10438 - -162. Let d = -143953/14 - s. What is the common denominator of d and ((-28)/(-24))/((16/(-238))/(172/(-301)))? 84 Let w(d) = d - 2. Let c(l) = 4*l**2 + l. Let g be c(1). Suppose 0 = 2*z + 2*y - 28 - 0, -g*z + 3*y = -30. Calculate the least common multiple of z and w(8). 18 Let q be 9/(-21) - (-1536)/56. Let z = q + 2. Suppose -23 + z = s. What is the smallest common multiple of s and 3? 6 Suppose -h - 5*m + 39 = -9, -3*m = 0. Find the common denominator of 1 - (0 + 87/6) and 6*(183/h + -2). 8 Find the common denominator of ((-510)/165)/((-16)/(-24)) and ((-1)/2)/(4/73). 88 Suppose -2*y - 84 + 124 = 0. What is the lowest common multiple of 428/12 + y/(-30) and 35? 35 Let l(c) = -47*c**2 + 522*c + 8. What is the smallest common multiple of l(11) and 3934? 35406 Suppose 69*n = 74*n - 120. Calculate the common denominator of (395/264)/(-5) - 16/n and -39/64. 704 Calculate the common denominator of 9/(-3)*(-18)/(-17577)*-10 and -25. 651 Let u = -4675 - -6135. Calculate the smallest common multiple of u and 584. 2920 Let k(o) = -o**3 + 8*o**2 + 3*o + 12. Suppose -8 = -4*t + 3*t. Let m be k(t). Let v = 54 - m. What is the least common multiple of v and 18? 18 Let d = -357186785/1152 - -310058. Calculate the common denominator of d and 2/23. 26496 Suppose 3*y + 12 = 0, -3*x + 0*x + 2*y = 283. Let d = -51 - x. Suppose 31 + 2 = 2*o + 5*u, 0 = u - 1. Calculate the lowest common multiple of d and o. 322 Let d = 311 - 166. Suppose -d*y = -138
{ "pile_set_name": "DM Mathematics" }
the tens digit of 987? 8 What is the units digit of 17588? 8 What is the hundreds digit of 436? 4 What is the thousands digit of 18313? 8 What is the ten thousands digit of 24194? 2 What is the thousands digit of 89987? 9 What is the thousands digit of 1826? 1 What is the tens digit of 600? 0 What is the hundreds digit of 4083? 0 What is the thousands digit of 15040? 5 What is the units digit of 59521? 1 What is the units digit of 33092? 2 What is the hundreds digit of 6945? 9 What is the thousands digit of 27359? 7 What is the thousands digit of 4129? 4 What is the tens digit of 6863? 6 What is the hundreds digit of 13721? 7 What is the hundreds digit of 970? 9 What is the tens digit of 511? 1 What is the ten thousands digit of 62925? 6 What is the thousands digit of 3440? 3 What is the units digit of 1328? 8 What is the units digit of 2000? 0 What is the ten thousands digit of 25562? 2 What is the tens digit of 12060? 6 What is the ten thousands digit of 29920? 2 What is the units digit of 1958? 8 What is the tens digit of 7865? 6 What is the units digit of 64518? 8 What is the units digit of 45216? 6 What is the hundreds digit of 2251? 2 What is the tens digit of 252? 5 What is the thousands digit of 5906? 5 What is the hundreds digit of 873? 8 What is the units digit of 996? 6 What is the units digit of 4988? 8 What is the tens digit of 19229? 2 What is the tens digit of 177374? 7 What is the units digit of 3738? 8 What is the hundreds digit of 2700? 7 What is the thousands digit of 11570? 1 What is the hundreds digit of 1170? 1 What is the units digit of 2694? 4 What is the tens digit of 1547? 4 What is the units digit of 1943? 3 What is the ten thousands digit of 18966? 1 What is the hundreds digit of 24653? 6 What is the units digit of 3161? 1 What is the thousands digit of 34842? 4 What is the units digit of 2051? 1 What is the tens digit of 8310? 1 What is the units digit of 1593? 3 What is the ten thousands digit of 116238? 1 What is the units digit of 71271? 1 What is the units digit of 37353? 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5 What is the units digit of 24260? 0 What is the thousands digit of 1047? 1 What is the tens digit of 475? 7 What is the units digit of 31? 1 What is the tens digit of 593? 9 What is the tens digit of 815? 1 What is the ten thousands digit of 17178? 1 What is the thousands digit of 3045? 3 What is the ten thousands digit of 53350? 5 What is the thousands digit of 3602? 3 What is the tens digit of 2433? 3 What is the ten thousands digit of 27868? 2 What is the units digit of 9300? 0 What is the tens digit of 84278? 7 What is the tens digit of 1148? 4 What is the units digit of 354? 4 What is the hundreds digit of 10925? 9 What is the hundreds digit of 127? 1 What is the ten thousands digit of 31207? 3 What is the units digit of 20194? 4 What is the units digit of 359? 9 What is the thousands digit of 33295? 3 What is the units digit of 14667? 7 What is the thousands digit of 7905? 7 What is the tens digit of 666? 6 What is the units digit of 1398? 8 What is the thousands digit of 3141? 3 What is the thousands digit of 3918? 3 What is the hundreds digit of 21013? 0 What is the thousands digit of 21251? 1 What is the units digit of 630? 0 What is the tens digit of 2909? 0 What is the units digit of 12152? 2 What is the thousands digit of 24260? 4 What is the tens digit of 981? 8 What is the hundreds digit of 364? 3 What is the tens digit of 2278? 7 What is the tens digit of 841? 4 What is the units digit of 28496? 6 What is the tens digit of 760? 6 What is the tens digit of 380? 8 What is the units digit of 19? 9 What is the hundreds digit of 30185? 1 What is the units digit of 702? 2 What is the units digit of 24288? 8 What is the units digit of 235? 5 What is the tens digit of 4001? 0 What is the thousands digit of 62094? 2 What is the tens digit of 1457? 5 What is the tens digit of 1231? 3 What is the hundreds digit of 1098? 0 What is the units digit of 8286? 6 What is the hundreds digit of 46368? 3 What is the thousands digit of 17276? 7 What is the ten thousands digit of 11208? 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2 What is the thousands digit of 59542? 9 What is the thousands digit of 421
{ "pile_set_name": "DM Mathematics" }
et y be d(8). Give j(y). -1 Let r(g) = 30*g - 3. Let z(s) = s + 1. Let x(n) = r(n) + 2*z(n). Determine x(1). 31 Let s(j) be the first derivative of -j + 9/2*j**2 - 13. Determine s(1). 8 Let c(r) = -15*r**3 - 4*r**2 - 9*r - 2. Let x(m) = 7*m**3 + 2*m**2 + 4*m + 1. Let w(b) = 6*c(b) + 13*x(b). What is w(2)? 13 Let b(l) = -3*l**2 - 7*l - 1. Let t(v) = 2*v**2 - v - 1. Let m(o) = -b(o) - 2*t(o). Determine m(6). 21 Let n(j) = 4*j**2 - j + 1. Suppose -6 = -x - 2*h, -h + 2 = -3*x + 3*h. Let w be -3 - ((-2)/x - 3). What is n(w)? 4 Let a(i) be the second derivative of -i**5/20 + 5*i**4/3 - i**3/3 + 47*i**2/2 + 431*i. Determine a(20). 7 Let y(v) be the third derivative of v**4/12 - 17*v**3/6 - 16*v**2. Let q be y(9). Let h(p) = 18*p**3 - p**2 + p. Determine h(q). 18 Let v(w) be the second derivative of -w**3/3 + 2*w**2 - 569*w. What is v(3)? -2 Let y(b) = -5*b**2 - 2*b**2 - b**3 + 6 - 11 - 2*b - 3. What is y(-7)? 6 Let m(k) = -188*k + 5 + k**3 + 188*k - 6*k**2. What is m(6)? 5 Let j(x) = x + 2. Let p be j(1). Let c(f) = -2 + f**3 + f + 5*f**2 + 4*f - p*f. Calculate c(-4). 6 Suppose -2*b + 40 = i + b, -i + 3*b = -16. Let y = 27 - i. Let l(k) = 1 + 11*k - 4*k + 0. Calculate l(y). -6 Let w(c) = 10*c**3 + 2*c**3 - 1 - 6*c**3. What is w(1)? 5 Let j(a) = -a - 7. Suppose 3*v - 5*v - 3*u - 48 = 0, -20 = 5*u. Let g = -13 - v. Determine j(g). -12 Let j(f) = -5*f**3 - 4*f**2 + 3*f + 21. Let i(h) = 9*h**3 + 8*h**2 - 7*h - 41. Let b(z) = 4*i(z) + 7*j(z). Let y be b(-5). Let x(w) = 2*w + 6. What is x(y)? -8 Let b(r) = 4 - 10*r - 4 + 559*r**2 - 558*r**2. Calculate b(8). -16 Let j(w) be the second derivative of w**5/20 - 7*w**4/12 + 4*w**3/3 - 3*w**2 + w. Let a(v) = 6 - 3*v + v**2 - 7*v + 5*v. Let n be a(5). Calculate j(n). 6 Let y(j) be the third derivative of -j**6/120 + j**5/60 - 5*j**3/6 - 271*j**2. Give y(0). -5 Suppose -5*q = -5*o, 2*q - 7 - 13 = -2*o. Let h(m) = -m**3 + 6*m**2 - 6*m - 1. Calculate h(o). -6 Let z(v) = -14 + 19*v**2 - 20*v**2 + 7 + 7*v + 12. Determine z(8). -3 Let s(x) be the third derivative of -x**6/120 - 2*x**5/15 - x**4/4 + 4*x**3/3 + 109*x**2. What is s(-7)? 1 Let b(p) be the first derivative of 3*p**4/4 - 2*p**3/3 - p**2 + p + 18. Let w = -4 + 6. What is b(w)? 13 Let s = 2 + -1. Let f(n) = -11*n**3 + 5*n**2 - 7*n + 9. Let g = -35 - -28. Let c(r) = 6*r**3 - 3*r**2 + 4*r - 5. Let b(a) = g*c(a) - 4*f(a). Calculate b(s). 2 Let x(b) = 4*b + 9. Let n(t) = -t - 1. Let m(c) = 5*n(c) + x(c). Let v(d) be the first derivative of d**3/3 - 5*d - 2. Let s be v(0). Calculate m(s). 9 Let g(u) = -2 + 0 - 2*u + 2*u + u. Determine g(-4). -6 Let u(z) be the first derivative of -14*z**3 - z**2 - z - 7 + 9 + 12 + 12*z**3. Give u(-1). -5 Let l = 7 + -2. Let r(b) be the first derivative of 7*b - 3/2*b**2 + 6. What is r(l)? -8 Suppose 3*d - 23 = 1. Let v(h) = -h**3 + h**2 + h. Let m(f) = -5*f**3 + 12*f**2 + 3*f + 3. Let y(l) = -m(l) + 4*v(l). Determine y(d). 5 Let a be (11 - 1) + -8*(-6)/(-12). Suppose -12 + 60 = a*g. Let x(j) = 3*j - 5. What is x(g)? 19 Let m = 515 - 520. Let d(f) = -f**3 - 3*f**2 + 5*f + 2. What is d(m)? 27 Let c = -14 - -10. Suppose 5*z + 2 = -2*x - 4, 2 = -x - 2*z. Let a(u) = -u - 3*u - 3 - x. Calculate a(c). 11 Let o(p) be the second derivative of 0 - 5/6*p**3 - 28*p + 1/2*p**2. Calculate o(2). -9 Let w(c) = 3*c**2 - 3*c - 8. Let b(m) = -2*m**2 + 2*m + 4. Let h be -7 + (-6)/(9/(-3)). Let r(o) = h*b(o) - 3*w(o). Calculate r(0). 4 Let d = -6 - -1. Let z(k) be the third derivative of -k**5/60 - k**4/12 + k**3 + 15*k**2 + 28*k. Give z(d). -9 Let z(p) = -p**2 + 3*p. Let t(h) = h**3 - 15*h**2 - 26*h + 166. Let s be t(16). Give z(s). -18 Let w(d) be the second derivative of -d**3 - 2*d**2 + 2*d + 64. Let g(k) = -k**3 - 12*k**2 - k - 16. Let x be g(-12). What is w(x)? 20 Let q(r) = -3*r**2 + 26*r + 16. Let n(f) = 25*f**2 - 209*f - 124. Let i(p) = -2*n(p) - 17*q(p). What is i(25)? 1 Let w(x) = x**3 + x**2 - x - 1. Let v = 21 + -19. Suppose -7*m - 10 = -v*m. Give w(m). -3 Let h(d) = -d**2 + 22*d - 85. Let l be h(5). Let z(t) = t**3 + t**2 + 2*t - 6. Give z(l). -6 Suppose -4*p - 10 = 2*b, -5*p + 1 - 9 = -2*b. Let s(r) be the third derivative of 0*r**4 + 1/60*r**5 - 1/6*r**3 + 0 + 0*r - 3*r**2. Calculate s(p). 3 Let k(g) = 3*g**3 + 30*g**2 + 3*g - 30*g**2. Let l(m) = 6*m**3 - m**2 + 5*m. Let v(y) = 5*k(y) - 3*l(y). What is v(2)? -12 Let k(v) = -6 + 3 - 2*v + 16*v**2 - 31*v**2 + 18*v**2. Give k(-2). 13 Suppose 0 = -86*t + 6*t - 720. Let x(g) = g**2 + 9*g + 10. Give x(t). 10 Let w(x) be the first derivative of x**3/3 + 3*x**2 + 7*x + 3. Let s(v) = -5*v + 10. Let j be s(3). Determine w(j). 2 Let l(t) = t**3 - 6*t**2 + 5*t - 5. Suppose -5*p = 4*r + 12, 3*r - r = p - 20. Let d be r/6 + 12/9. Suppose q + b - 8 = -1, d = q - 4*b + 3. Determine l(q). -5 Let p(c) be the first derivative of -c**7/840 - c**6/90 + c**4/12 + 25*c**3/3 - 10. Let k(h) be the third derivative of p(h). Give k(-4). 2 Let w(n) = -n - 6. Let i(m) = m + 5. Let h(u) = -5*i(u) - 4*w(u). Let q be (-3)/(-9) + (-70)/21. Give h(q). 2 Let a(v) = 7 + 7 + 6*v - 15. Give a(-2). -13 Let a(q) = -18920 + 18916 + 3*q - q. What is a(-6)? -16 Let j(h) be the second derivative of 0 + 1/2*h**2 - 28*h + 3/2*h**3. Give j(1). 10 Suppose -7*r + 12 = -4*r. Let q(n) = 2*n + 1. Determine q(r). 9 Let i(q) = q**3 + 1. Let t(r) = r**3 - 7*r**2 - 6*r + 7. Let z(f) = 2*i(f) - t(f). Let k(s) = s**2 - 21*s + 74. Let m be k(5). Give z(m). -5 Let k be 6 - 4/(1 - -7)*-2. Let t(y) = 1 + 5 - k*y + 5*y**2 + 5*y**3 - 3*y**3 - 3*y**3. What is t(4)? -6 Let l(k) = -4*k + k**2 - 5*k + 6 + k. Let m be 4 + 9 + 54/(-9). Give l(m). -1 Let v = 31/87 + -2/87. Let t(d) be the second derivative of -1/3*d**4 - 3/2*d**2 + 0 + 1/20*d**5 + v*d**3 - d. Calculate t(4). 5 Let d = -22 + 20. Let i(y) = 3*y**2 + 7*y - 4*y**2 + 27*y**3 - 4*y + 3 - 28*y**3. What is i(d)? 1 Let o(q) = 5*q + 1. Let b = 9 + -3. Let k(z) = -z**3 + 6*z**2 + 3. Let v be k(b). Suppose -5*t + 8 = -5*x + v, 2*t - 3 = 3*x. Determine o(x). -4 Let k(x) = x**3 - x**2 + x - 1. Suppose 9*a = 4*a - 2*r + 17, 0 = 3*r - 3. Calculate k(a). 20 Let k be 351/(-234)*(1 + (-2)/(-6)). Let m(x) = -4*x**3 - x**2 + 2*x - 1. What is m(k)? 23 Let c(b) be the third derivative of b**6/120 + 2*b**5/15 - 3*b**4/8 + b**3/3 - 919*b**2. Suppose -5*v - 30 = 15. Determine c(v). 2 Let n(h) = -4*h - 1. Let d(i) = 2 + i**3 + 3*i - 2 + 1. Let y = 76 + -73. Let j(u) = y*n(u) + 4*d(u). What is j(1)? 5 Let c(v) = v**3 - v**2 + 4*v**2 + 4*v + 2*v**2. Let i(f) = -f**3 - 5*f**2 - f + 7. Let n be i(-2). Determine c(n). 6 Let c(h) = h**2 - 7*h + 2. Suppose -3*m = -9*m + 24. What is c(m)? -10 Let c(v) = v**2 + 3*v - 7. Let b be c(-5). Let l = 4 + -4. Let d(a) = -a + 0 + l - 6 + 4. Determine d(b). -5 Suppose 4*f = -5*d - 26, 2*d = f - 2*d - 4. Let p be (-4)/(-6)*(f - (0 - -2)). Let k(s) = 3*s - 2. Determine k(p). -14 Let z(m) = m**2 + 7*m - 1. Let n = 235 + -241. Calculate z(n). -7 Let w be 0 - 1/3*-6. Let b(h) be the first derivative of -h**4/4 - h**2/2 - h + 2. Give b(w). -11 Let f(w) = w**2 + 6*w - 4. Let q = -28 + 19. Let o = q - -14. Suppose -2*r + 4 = 0, 0 = 3*u + 3*r - o + 14. Determine f(u). -9 Suppose -4*c - 5*y + 13 = -6, 4*c + 4*y - 16 = 0. Let z(u) = 0 - 4*u - u**3 - 1 + 0 - c - 5*u**2. What is z(-4)? -2 Let p(h) = -h - 5. Let b(a) = -a - 7. Let g(q) = q**2 - 6*q + 1. Let j be 8 - (-8)/((-2)/1). Let u be g(j). Let k be b(u). What is p(k)? -5 Let o(v) be the second derivative of v**2 + 21*v + 1/10*v**5 + 0 + 1/6*v**4 - 1/2*v**3. Determine o(-3). -25 Let t(u) = u**3 - 3*u**2 - 3*u + 6. Let i = -608 - -612. What is t(i)? 10 Let s(z) = -4*z**2 + 1. Let g be s(1). Let n(v) be the first derivative of v**4/4 + v**3/3 - 3*v**2/2 - 2*v + 141. Determine n(g). -11 Let w(a) = a**2 - 4 + 3*a - 2*a**2 + 1. Let p be 9/(1*(-7)/(28/(-12))). Determine w(p). -3 Let m(s) be the third derivative of -s**6/120 - 2*s**5/15 + 5*s**4/12 + 4*s**3/3 + 116*s**2. Calculate m(-9). -1 Let u(y) = y**3 - 5*y**2 + 3*y - 3. Let w be ((-40)/(-90))/(2 - (-48)/(-27)). Let o(j) = -j**3 + 5*j**2 - 4*j + 2. Let b(q) = w*o(q) + 3*u(q). Give b(5). 0 Let v(r) be the third derivative of -r**6/120 + r**5/60 + r**4/12 - r**3/3 - 125*r**2 - 4. Suppose 5*c = -5*y, -y - 4*c - 2 = 2*y. Give v(y). -2 Let a(j) = -18*j**2 + j + 1. Let f = -11 + 10. Determine a(f
{ "pile_set_name": "DM Mathematics" }
8047 * 0.016. 128.752 Work out -1.9 * 731. -1388.9 What is 0.20805 times 4? 0.8322 What is -646275 times -1.1? 710902.5 What is -0.5 times 611804? -305902 What is the product of -601 and 0.13482? -81.02682 Product of 5037 and -0.007. -35.259 Work out -0.03431 * -54.1. 1.856171 What is the product of -0.2 and 2769.4? -553.88 Calculate -2*-12205.4. 24410.8 Multiply 37.3 and 10. 373 Work out -0.2 * -127769. 25553.8 Multiply 1388.8 and 4. 5555.2 What is -0.1 times 22124? -2212.4 Calculate 0.5*-22279.7. -11139.85 Product of -54 and 5980. -322920 What is the product of -0.034 and -3.109? 0.105706 What is 0 times -37148? 0 Work out -0.3 * -19327. 5798.1 What is the product of 27185.4 and 0.2? 5437.08 Product of -0.022 and 614. -13.508 0.25136*-0.2 -0.050272 Work out 58.916 * -85. -5007.86 Work out 35.6 * 0.15. 5.34 Product of 0.72 and -19402. -13969.44 Calculate 1*114527. 114527 Work out 8.676 * 177. 1535.652 Multiply -0.11 and 0.049756. -0.00547316 -1235*-0.6 741 700*0.3026 211.82 Calculate -0.3*-0.07213. 0.021639 Calculate -2.058*-13. 26.754 Multiply -0.761 and 0.656. -0.499216 Product of 0.1 and -54546. -5454.6 What is the product of 0.14 and 18.01? 2.5214 -0.1714 times -89 15.2546 Calculate -1.445*-0.7. 1.0115 What is 5904 times -2? -11808 Product of -657615 and 4. -2630460 What is 20 times -6930? -138600 What is the product of 0 and 88.95? 0 Product of 0.006 and -43331. -259.986 Work out 0.083601 * -9. -0.752409 -0.4*-14961 5984.4 Product of -34163 and -0.5. 17081.5 Product of -3.29 and 762. -2506.98 What is the product of 930.4 and -0.5? -465.2 Calculate -0.828809*-5. 4.144045 604 * 4882 2948728 Product of -22 and -266.1. 5854.2 -771 times -33 25443 Calculate -0.2*-271.179. 54.2358 10*-11.74 -117.4 Calculate -0.5*-286673. 143336.5 What is 0.04 times -20439? -817.56 Multiply 0.11392 and -1.06. -0.1207552 Multiply -42014 and 0.3. -12604.2 Calculate -17093*5. -85465 29684 times 114 3383976 0.3 times -10149 -3044.7 -9 * -14960 134640 -10.8*-352 3801.6 -0.3 * 57092 -17127.6 Product of -0.02321 and -0.09. 0.0020889 What is 80 times -55.1? -4408 Calculate -9745.6*0.5. -4872.8 Product of 114363 and -0.07. -8005.41 What is -4 times -5.5519? 22.2076 715*-1.2 -858 Multiply -1071 and 1.08. -1156.68 Multiply -50431 and -1. 50431 3.09 * -7738 -23910.42 Calculate 177.946*0.3. 53.3838 Work out -164 * -2.213. 362.932 0.1*61958 6195.8 Work out 2 * -467286. -934572 -358291 times 4 -1433164 What is 885 times 0.8? 708 What is 10362 times 0.3? 3108.6 -26090 * 10.9 -284381 What is the product of 13 and 280327? 3644251 What is -80.03 times -0.2? 16.006 Product of -21119 and -0.3. 6335.7 3195 * 0.18 575.1 What is 0.6 times 5589.9? 3353.94 What is 45 times -0.3708? -16.686 Multiply 17788 and -0.368. -6545.984 Product of -14 and 20934. -293076 3501*0.7 2450.7 Multiply 3 and 7936. 23808 0.133176 times -5 -0.66588 26423 * 4 105692 What is -124826 times 1? -124826 Work out -17508 * 64. -1120512 What is 4823274 times -2? -9646548 What is the product of -582 and 6.94? -4039.08 Work out -196573 * -6. 1179438 What is the product of -4.38 and -2312? 10126.56 Multiply 106 and -16216. -1718896 -5.34*-6 32.04 Product of 11.3348 and 11. 124.6828 Product of -202276 and -0.1. 20227.6 Calculate -83646*-0.09. 7528.14 0.2 times -1312.8 -262.56 What is the product of 505 and 0.0167? 8.4335 2 times -0.092184 -0.184368 Work out 0.0064 * -0.08. -0.000512 What is -47 times -26861? 1262467 Multiply -5238 and -0.1. 523.8 Work out 1.7 * 43.63. 74.171 -38890.3 times -4 155561.2 Product of 1813 and -10. -18130 Product of 0.039 and 0.2053. 0.0080067 -108 times 0.94 -101.52 Multiply 24 and 556.75. 13362 What is the product of -5854 and -0.283? 1656.682 9 times -544.62 -4901.58 -0.0594*11.74 -0.697356 Product of 1246626 and 0.4. 498650.4 Product of -1 and -4.20535. 4.20535 Calculate -1*-2.5013. 2.5013 Calculate -16*1263. -20208 5742 times 64 367488 What is 420 times 0.042? 17.64 29037*-2.2 -63881.4 Multiply 1.2 and 256.2. 307.44 Multiply 98 and 10.4. 1019.2 -93744 * 0 0 Work out 4352 * 1161. 5052672 -1 times -3499.97 3499.97 Work out -636353 * -0.4. 254541.2 Calculate -467.65*4. -1870.6 What is -0.09 times 39613? -3565.17 What is the product of -1100.93 and 2? -2201.86 Multiply -0.319 and 0.02. -0.00638 Calculate -0.09*-48.7. 4.383 What is the product of -0.1464 and 635? -92.964 Work out -204611 * 0. 0 What is the product of 647 and 134? 86698 Calculate 2.6*-0.013342. -0.0346892 Work out -9 * 13862.9. -124766.1 Calculate -137*1022. -140014 What is 47.2 times 0.088? 4.1536 Work out -0.1 * 0.1852. -0.01852 0.4*-45963 -18385.2 Work out 8 * 14808. 118464 What is -0.1 times -138911? 13891.1 Calculate -34*-420. 14280 Calculate -60*-504. 30240 -26 times -0.219 5.694 Multiply -313688 and 2. -627376 What is the product of 5205.2 and 0.5? 2602.6 Calculate -130*702. -91260 What is 191376 times -0.1? -19137.6 Multiply -0.12 and 0.04117. -0.0049404 Calculate -0.2*194504.8. -38900.96 Multiply 445 and -149. -66305 Multiply -185004 and 0.2. -37000.8 -0.65 times -1944 1263.6 -87 times 23817 -2072079 0.5 * -0.3859 -0.19295 -0.4*2626.8 -1050.72 Work out 2.9351 * -0.13. -0.381563 What is 20 times -0.08786? -1.7572 What is -7 times 1.20507? -8.43549 -0.1 * 7836 -783.6 Product of -0.07 and -428168. 29971.76 Multiply 1320.2 and 3. 3960.6 11254 * -174 -1958196 What is -369.2 times 8.47? -3127.124 Work out 0.5 * 309.316. 154.658 -80028*-0.4 32011.2 -909109 times 0.3 -272732.7 What is the product of 0.013627 and 1? 0.013627 -222 * 8117 -1801974 1681 * 29 48749 Calculate -0.25*-0.23457. 0.0586425 2.9*2.6496 7.68384 -0.853907*-3 2.561721 Product of 162 and 0.043. 6.966 Product of 37652 and 0.6. 22591.2 0.2 times -0.50756 -0.101512 Product of 1817 and 7. 12719 What is the product of -1 and -15650? 15650 -13.09 times 12 -157.08 Calculate -25*145. -3625 -458.39 * 1 -458.39 0.003 * -107 -0.321 What is 0.005258 times 1? 0.005258 What is 37 times 0.0868? 3.2116 -144036 * 12 -1728432 Calculate -0.58*-224. 129.92 Calculate -3.3966*-9. 30.5694 Work out -1568 * -5. 7840 9.9555 * -0.5 -4.97775 Multiply -0.1 and 19940. -1994 Calculate -105*-423. 44415 -0.1 * 98505 -9850.5 Multiply 8.64 and -24. -207.36 Work out 9.914 * -0.85. -8.4269 0.317*182 57.694 What is -2.7 times 18.528? -50.0256 -8912.5 times 3 -26737.5 -0.9*5528 -4975.2 -4.316*111 -479.076 What is 0 times 172.6825? 0 Calculate -0.6*-5.8764. 3.52584 Product of 0.2 and -11057. -2211.4 Calculate -0.0088*-27.3. 0.24024 -1124935 times -0.1 112493.5 What is -0.157 times -1.001? 0.157157 -4.267*5 -21.335 What is the product of 3488822 and -5? -17444110 Multiply -18981 and 1. -18981 Product of -28.8 and -6.17. 177.696 0.996 times -0.18 -0.17928 -51810 * -6 310860 0.3 * -403.36 -121.008 Product of 9214 and -11. -101354 What is the product of -17 and 20.653? -351.101 What is -53 times -26.8? 1420.4 What is the product of -464 and -1105? 512720 1.788 times -0.08 -0.14304 -1499.3*-0.4 599.72 74542*-0.04 -2981.68 -71160 * 29 -2063640 867 times 3561 3087387 What is the product of -0.2 and 12.4785? -2.4957 What is the product of 7 and -207104? -1449728 What is the product of -0.5 and 2.1089? -1.05445 Multiply 2 and -19226. -38452 10 times -98.478 -984.78 Work out -567 * -0.8. 453.6 Multiply -1703 and -101. 172003 Work out -3 * 628.7. -1886.1 Work out 3434.35 * 1. 3434.35 Work out 4 * 14802. 59208 12715*-2 -25430 -5 * 11176 -55880 What is 0.1005 times -12? -1.206 What is 28.785 times 0.2? 5.757 Product of -498856 and -8. 3990848 0.67 * 20563 13777.21 -225 times -59 13275 What is the product of 309 and -0.1645? -50.8305 Work out 8 * -32.92. -263.36 -0.04508 times -0.05 0.002254 -12.6847 * 1 -12.6847 What is -0.3 times -118.618? 35.5854 Product of -2 and 909.1. -1818.2 -0.4 times -277371 110948.4 -40*3.101 -124.04 0.07*0.047684 0.00333788 What is -2160.2 times 1? -2160.2 What is -9182 times 245? -2249590 What is the product of -0.037 and 7.93? -0.29341 Work out -13 * 4039. -52507 310370*1.3 403481 0.5 times 242 121 Work out -168 * -292. 49056 Product of 23.7 and -0.193. -4.5741 Calculate 8040*-15. -120600 What is the product of 2896 and 14.7? 42571.2 -332.16*5 -1660.8 41 times -81.32 -3334.12 -7.9 * -4780.5 37765.95 -0.063*14.5 -0.9135 11 * -68.909 -757.999 What is -0.1 times 6.249? -0.6249 -1.
{ "pile_set_name": "DM Mathematics" }
t q be ((-84)/88 + 1)*-4. Let o = -29 - -199/7. Which is the third biggest value? (a) -0.2 (b) q (c) o c Let l = 3 + 1. Let c = 848 + -842.97. Let j = 0.03 - c. What is the third biggest value in j, 5/4, l? j Let t = 5 + -11.5. Let u = t - -6. Which is the biggest value? (a) -0.1 (b) 0.4 (c) u b Let l(g) = g - 9. Suppose 2*k - 2 = 8. Let w be l(k). Which is the smallest value? (a) w (b) -3 (c) 2 a Let n be 8/6*(-36)/32. Let a = 0.2 + 0.1. Let c = 3.8 - 2.8. What is the second smallest value in a, c, n? a Let r = 0.06 - -1.04. Let c = -1.3 + r. What is the third smallest value in -1, c, -2? c Suppose 9*g = 4*g + 5. Which is the smallest value? (a) -4/3 (b) g (c) -1 a Let t be (-2)/10*165/54. Let a = 10/9 + t. What is the third biggest value in a, -1, 4? -1 Let k = 0 + 2. Which is the biggest value? (a) -0.4 (b) 0.5 (c) k c Let z(f) = 2*f + 25. Let q be z(-14). Which is the third biggest value? (a) 5 (b) -0.5 (c) q (d) 0.3 b Let g = -25 - -21. Which is the second biggest value? (a) 5 (b) g (c) -1/5 (d) -3 c Let i = -1181/7 - -169. What is the third smallest value in -0.1, -1/6, -0.4, i? -0.1 Let s = -0.2 + 0.6. Let w = 31/2 + -15. What is the second biggest value in -0.1, s, w? s Let u be ((-4)/(-9))/(6/27). What is the third biggest value in 2/7, u, 4? 2/7 Let b = 17 - 9. Let g = -7 + b. What is the smallest value in -4, g, -2? -4 Let n be 4/22 + 224/(-748). Which is the biggest value? (a) -5 (b) 3 (c) n b Let n = 17 - 49/3. Suppose -2*v + 1 = -3. Let d be v/(-8) - (-13)/20. What is the biggest value in -0.2, d, n? n Let p = 0.07 + 5.93. Let f = p - 3.5. Let l = f - 3. What is the smallest value in -0.2, 2, l? l Let z = 0.05 + 1.95. Let l = -24 + 23.6. Which is the biggest value? (a) z (b) l (c) -2 a Let f = 7 - 7.05. Let k = f + 3.05. What is the biggest value in -4, 1/5, k? k Let y = 18 + -20. What is the third smallest value in -0.04, y, 4? 4 Let t(b) = b - 6. Let n be t(-5). Let g = -10 - n. What is the third smallest value in g, -3, -5? g Let x = -0.01 - -0.01. Let h = -0.8 - -1.8. Let l = h - x. What is the second smallest value in -3/8, l, -4? -3/8 Let d = 4.75 - -0.25. Which is the smallest value? (a) -0.4 (b) d (c) 1/4 a Let i(s) = -3*s**2 - 4*s + 3*s + 5 - 2*s**2 + s**3. Let j be i(5). Let h = 3 - 3.5. Which is the second smallest value? (a) h (b) j (c) -4 a Let k be (2/2)/(6/5). What is the third biggest value in -2/7, 8/5, 1, k? k Let r = 0.34 - -0.06. Suppose -2*w + 4 = -3*k - 1, 0 = 2*w + 4*k + 16. Let y = 6.7 - 7. Which is the second biggest value? (a) w (b) r (c) y c Let m = -5 - -9. Let g = -3 + -2. What is the third biggest value in m, 3, g? g Let p = 20 - 19. Let t = 0 - -0.1. Which is the third biggest value? (a) t (b) -5 (c) p b Let t = 0.7 - 0.3. Let z = -18 + 23. Which is the smallest value? (a) z (b) t (c) -3 c Let p = 7 - 8.1. Let j = p - -0.1. Which is the second biggest value? (a) j (b) -5 (c) 1 a Let c be 2*((-25)/10 + 2). Let o = -5 - -3. What is the second biggest value in c, o, -0.1? c Let g be 0/(-2) + -2 + 24/10. Let r = 5.4 + 1.6. Let i = -7.3 + r. Which is the second biggest value? (a) 1 (b) g (c) i b Let o = -1171/5 + 235. Let x = 13 - 8. What is the smallest value in x, -2/7, o? -2/7 Let t be (1 - -1) + (-2 - -5). Suppose 2*i - 6 = 4*i - 5*r, -r - 15 = t*i. Which is the smallest value? (a) i (b) 4 (c) 0 a Let f = 4.332 + 0.578. Let o = -6.91 + 7. Let i = o + f. Which is the second smallest value? (a) -3/4 (b) 4 (c) i b Let j = 5.23 + -0.23. Which is the second smallest value? (a) 0.2 (b) -23 (c) j a Suppose -1 = -3*k - 4*l - 4, k - 2*l + 1 = 0. Which is the biggest value? (a) 0.04 (b) 0.2 (c) k b Let f be 4 - ((-3)/(-3))/(-3 - -2). Let n = 1 + -0.3. What is the biggest value in n, -5/2, f? f Let t = 11 + -10. What is the third smallest value in -2, t, -4? t Let d be 4/42*(-18)/(-4). Let b be (-8)/(-12) + (-16)/6. Let z be 0/(b*(-1)/2). What is the second biggest value in -5, d, z? z Suppose x - 8 = -3*x. Let r = 14.93 - 15. Let f = -0.07 - r. Which is the third smallest value? (a) 0.2 (b) f (c) x c Let a = -13 - -7.5. Let n = a - -0.5. What is the biggest value in n, -6, 2/5? 2/5 Let i = -14 - -11. Let l(o) = -3*o + 3 + o - 4*o + o**2. Let z be l(4). Which is the biggest value? (a) 3 (b) i (c) z a Let m = -7.7 + 8. What is the smallest value in -5, m, 0.2? -5 Let h be (-2 + 2 - 0) + 2. Let x = 0.6 + -0.58. Let o = x + 2.98. Which is the third smallest value? (a) o (b) h (c) -0.5 a Let r be 2/3 - (-1)/3. Let s(t) = 4*t**3 - t**2 + t. Let i be s(r). Let l be (2/3)/(44/12). What is the third biggest value in i, -5, l? -5 Let o = -2 - -1.5. Let g = -3.3 - -3.1. Let n = 0.5 + -0.8. Which is the second smallest value? (a) n (b) o (c) g a Let p = 3.4 - -0.6. Let q = -0.05 + -1.95. Which is the second biggest value? (a) p (b) q (c) 0.3 c Let f be (-2 + 1)*(-4 - -3)*5. What is the third smallest value in f, 1/4, -1? f Let d be 1/5 - (-99)/55. Let g be 1*(36/15 + -2). Which is the third smallest value? (a) g (b) -0.2 (c) d c Suppose -5*w = 2*w + 14. What is the second smallest value in 4, w, -1? -1 Let d = 77.8 - 78. What is the third biggest value in -0.7, -2/3, d? -0.7 Let s = 13 - 8. Let h = 20 + -25. Which is the biggest value? (a) h (b) s (c) -3/7 b Let u = -0.18 - 11.82. Let t = -8 - u. Which is the second biggest value? (a) t (b) 1 (c) -0.1 b Let n = 1.1 + 6.1. Let t = n + -7. Which is the biggest value? (a) t (b) 4 (c) 1 b Let t = 24.05 - 24. Which is the smallest value? (a) t (b) 1/5 (c) -2/9 (d) 0.1 c Let z(y) = -y**3 - 9*y**2 - 7*y + 8. Suppose 14 = -r + 6. Let q be z(r). Let u be 1/(-2 + 4/1). What is the smallest value in q, u, -5? -5 Suppose l = 2*l. Suppose 5*x + 2*r = 4*x + 3, -3*x + r - 12 = 0. Let d = 4 + x. What is the biggest value in 2/13, l, d? d Let p = 1.6 + 0.4. Let q = -4.8 + 5.86. Let j = q + -0.06. What is the third biggest value in p, -5, j? -5 Let a = -0.4 + 2.4. Let b = -32 - -33. What is the third smallest value in -0.2, a, b? a Let z = 8 + -7.97. Let d = 2472/13 - 190. Which is the third smallest value? (a) d (b) 3 (c) z b Suppose 3*u - 29 = -8. Let m = u - 2. Suppose -5*j + m*q - 1 = -2*j, 3*q = 4*j - 6. What is the second biggest value in -1, j, 0? 0 Let z = -8.2 - -13.1. Let t = 5 - z. Which is the third smallest value? (a) -2 (b) t (c) 4/3 c Let l = -41/12 + 15/4. Let m(f) = -2*f - 6. Let u be m(-5). What is the smallest value in -4/5, u, l? -4/5 Let j(z) = -z**3 - 6*z**2 + 8*z + 9. Let h be j(-7). Let a = -3 + h. Suppose 0 = g + 5*c + 3, -4*c - 2 + 0 = g. What is the biggest value in a, g, -2? g Suppose -3 = h - 7. Let f be ((-12)/h)/((-6)/(-8)). Let q be 14/(-78) + (-2)/(-6). Which is the third smallest value? (a) f (b) q (c) 0 b Let i = -27/18002 + -502399627/126014. Let f = i + 3915. Let q = f + 72. What is the second biggest value in -1, 0.1, q? 0.1 Let r = 2 - 2.05. Let y = 0.55 + r. What is the second smallest value in -0.2, y, -5/2? -0.2 Let u(v) = -3*v - 14. Let y be u(-6). Suppose -3*t + 2 = -y*t. What is the third biggest value in 0.5, -3, t? -3 Let t(j) = -j**2 - 5*j + 3. Let s be t(-5). Let m be (5/s)/(8/6). Let d = 0.04 - -0.26. Which is the second smallest value? (a) d (b) m (c) 0.2 a Let j = -3.2 - -8.4. Let w = 5 - j. What is the biggest value in -5, 0, w? 0 Let z = 36 + -32. What is the fourth biggest value in -3, -0.3, -5, z? -5 Let k = 0.08 + -0.08. Let r = 0.4 + k. What is the third smallest value in -2, 3, r? 3 Let l = 1.2 - 8.2. Let v = -16 - l. Let t = v - -5. Which is the smallest value? (a) -2 (b) t (c) 0 b Suppose d = -z + 4, -2*z = -d + 6*d - 8. Let s = -4/3 + 1. Let w = 2 + -1. Which is the second smallest value? (a) w (b) z (c) s a Let n be 6/(-5) + (-6)/(-3). Which is the smallest value? (a) 0 (b) 0.1 (c) n a Let a = -22.7 + 3.7. Let x = a - -15. What is the smallest value in -0.1, 2, x? x Let o = 0.22 - -0.08. Let m = -0.7 - -1.7. Let t = m + 3. Which is the third smallest value? (a) o (b) 2/5 (c) t c Let n(h) = -h - 13. Let v be n(-9). Let o be ((-2)/6)/((-2)/v). Let k = 1/8 + -21/40. What is the biggest value in k, o, 2? 2 Let x = 93 - 94. Which is the second biggest value? (a) x (b) -2/105 (c) -0.4 c Let j be (-2)/(-10) + (-
{ "pile_set_name": "DM Mathematics" }
enominator of 101/3672 and 133/2040. 18360 What is the lowest common multiple of 13050 and 900? 26100 Calculate the common denominator of -53/12558 and -11/78. 12558 What is the common denominator of 30/104497 and -73/208994? 208994 What is the common denominator of -57/119 and 25/947682? 6633774 What is the least common multiple of 260 and 14480? 188240 What is the least common multiple of 381 and 5199? 660273 Find the common denominator of 83/11322 and -29/1776. 90576 Calculate the smallest common multiple of 532 and 40736. 285152 Find the common denominator of 37/332 and 29/844. 70052 Find the common denominator of 19 and -19/2140. 2140 What is the common denominator of 12/55 and -26/85921? 429605 What is the common denominator of -163/2838 and -187/90? 42570 Calculate the lowest common multiple of 1192 and 48. 7152 Calculate the common denominator of 17/715 and -46/29705. 326755 What is the least common multiple of 30020 and 790? 30020 What is the least common multiple of 469 and 10787? 10787 Find the common denominator of -113/39284 and -83/732. 117852 What is the lowest common multiple of 38964 and 6494? 38964 What is the least common multiple of 243175 and 30175? 4133975 What is the least common multiple of 976424 and 16? 1952848 What is the smallest common multiple of 150410 and 391066? 1955330 What is the smallest common multiple of 218064 and 112? 218064 Calculate the common denominator of 61/2210 and 127/9860. 128180 What is the common denominator of -65/15004 and -47/913? 1245332 Find the common denominator of 89/3960 and -181/1980. 3960 Calculate the smallest common multiple of 737320 and 36. 6635880 Calculate the least common multiple of 576 and 343040. 3087360 Calculate the smallest common multiple of 10934 and 1988. 21868 What is the least common multiple of 312 and 38576? 1504464 Calculate the common denominator of 14/10485 and -49/25290. 5892570 What is the least common multiple of 231283 and 9? 2081547 What is the smallest common multiple of 130842 and 14? 915894 What is the common denominator of -11/45 and 94/2025? 2025 What is the common denominator of 41/700 and -87/144200? 144200 What is the common denominator of 76/64893 and 32/1455? 324465 Calculate the common denominator of 73/31008 and -55/2356. 961248 Find the common denominator of 119/3174 and 41/48. 25392 Calculate the common denominator of -107/21528 and -41/8424. 193752 Calculate the lowest common multiple of 3292 and 40. 32920 What is the least common multiple of 14640 and 880? 161040 Calculate the smallest common multiple of 13651 and 12410. 136510 Find the common denominator of 42/11 and 71/12. 132 What is the common denominator of 38/1933665 and -43/30332? 7734660 Find the common denominator of -67/28054 and 99/4. 56108 What is the common denominator of 67/3 and -49/691830? 691830 Calculate the lowest common multiple of 37950 and 3450. 37950 Calculate the common denominator of -27/16 and -107/22428. 89712 What is the common denominator of 24/11 and -93/7294? 80234 What is the lowest common multiple of 8656 and 30296? 60592 Calculate the least common multiple of 27 and 18999. 56997 Calculate the common denominator of 53/157071 and -20/51. 2670207 Calculate the common denominator of -55/67898 and -63/68. 135796 What is the common denominator of 151/327738 and -101/327738? 327738 Calculate the common denominator of 27/163 and -20/113. 18419 Calculate the lowest common multiple of 225736 and 2502. 2031624 What is the lowest common multiple of 79028 and 158056? 158056 What is the least common multiple of 621300 and 108300? 11804700 Find the common denominator of 41/325346 and -3/92956. 650692 Find the common denominator of 17/92402 and 17/1966. 92402 Calculate the smallest common multiple of 52515 and 472635. 472635 Find the common denominator of 49/11 and 13/787372. 8661092 What is the common denominator of 67/1218 and -83/486? 98658 Find the common denominator of -9/524336 and 17/128. 4194688 Calculate the common denominator of 14/1919 and -77/47470. 901930 Calculate the lowest common multiple of 55 and 870270. 9572970 Calculate the lowest common multiple of 97830 and 1500. 4891500 Calculate the lowest common multiple of 16248 and 42. 113736 Calculate the smallest common multiple of 6072 and 85008. 85008 What is the common denominator of -31/56385 and -19/30072? 451080 Calculate the smallest common multiple of 9 and 31101. 93303 Calculate the common denominator of 29/1600 and -53/2080. 20800 Calculate the common denominator of -173/588 and 11/735. 2940 What is the least common multiple of 144 and 1395? 22320 What is the common denominator of 7/30343 and 15/17567? 333773 Find the common denominator of 43/55162 and -81/22. 606782 What is the common denominator of 37/2460 and 61/5740? 17220 Calculate the least common multiple of 10 and 121193. 1211930 What is the least common multiple of 355234 and 419822? 4618042 What is the smallest common multiple of 672520 and 946? 7397720 Calculate the least common multiple of 135 and 2183058. 10915290 Calculate the least common multiple of 73 and 137802. 10059546 Calculate the common denominator of 109/440 and -97/990. 3960 Find the common denominator of -75/362 and 5/2688. 486528 What is the smallest common multiple of 594 and 144? 4752 What is the smallest common multiple of 14 and 14488? 101416 What is the least common multiple of 588798 and 504? 2355192 What is the common denominator of 91/260844 and 71/1304220? 1304220 What is the smallest common multiple of 719477 and 588663? 6475293 Find the common denominator of 57/4396 and -97/2412. 2650788 Calculate the common denominator of -71/21 and -22/201015. 1407105 Find the common denominator of 101/345660 and 79/864150. 1728300 What is the smallest common multiple of 4573 and 6994? 118898 Find the common denominator of 113/5544 and -47/11088. 11088 What is the lowest common multiple of 20280 and 460? 466440 What is the lowest common multiple of 6144 and 40? 30720 Find the common denominator of -67/138033 and 8/3. 138033 Calculate the common denominator of -65/34374 and -173/90. 515610 Calculate the common denominator of -71/1750 and 86/8295. 414750 Calculate the common denominator of -59/295280 and -63/18455. 295280 Calculate the common denominator of 19/528461 and -3/332. 2113844 Find the common denominator of 67/28 and 71/7000. 7000 Calculate the common denominator of -91/7720 and -29/8299. 331960 Calculate the least common multiple of 1970 and 392424. 1962120 What is the smallest common multiple of 5016 and 240768? 240768 What is the lowest common multiple of 792 and 936? 10296 Find the common denominator of -127/12888 and 133/468264. 1404792 Calculate the common denominator of -16/45 and -149/56940. 170820 Calculate the common denominator of -143/9800 and 61/85750. 343000 Calculate the common denominator of 101/49080 and -37/4320. 1766880 Find the common denominator of -197/8400 and 83/840. 8400 What is the least common multiple of 4498 and 16? 35984 Calculate the lowest common multiple of 14 and 335736. 2350152 What is the least common multiple of 14 and 1226046? 8582322 What is the lowest common multiple of 3 and 6873? 6873 What is the common denominator of -143/4194 and -107/1398? 4194 What is the common denominator of -121/8850 and 91/1215? 716850 What is the smallest common multiple of 77455 and 55325? 387275 What is the lowest common multiple of 20 and 113492? 567460 What is the least common multiple of 284060 and 16? 1136240 Calculate the common denominator of -103/65312 and -19/155744. 2024672 What is the smallest common multiple of 180075 and 1400? 1440600 What is the lowest common multiple of 3400 and 7480? 37400 What is the lowest common multiple of 3948 and 920871? 3683484 Calculate the common denominator of -81/1630150 and -101/978090. 4890450 What is the common denominator of -33/186407 and -24/7721? 1304849 What is the least common multiple of 52096 and 8954? 573056 Calculate the common denominator of 37/27892 and -8/33. 920436 What is the common denominator of -48/949 and -29/91? 6643 What is the smallest common multiple of 4900 and 2450? 4900 Find the common denominator of 55/1002 and -5/2171. 13026 Calculate the common denominator of 98/161535 and
{ "pile_set_name": "DM Mathematics" }
rime factors of v(-17)? 2, 31 Suppose -7*g + 9 = 2. What are the prime factors of 41 + (-3)/g + 8/4? 2, 5 Let g(x) = -12*x + 56. Let f be g(9). Let m = 57 + f. Suppose 0 = -3*p + w + 310, 2*w = m*p - 2*w - 519. What are the prime factors of p? 103 Let g = -6694 + 7327. List the prime factors of g. 3, 211 Suppose -3*j + 33 = -4*h, 0 = -j + 3*h + 2*h + 11. Suppose -16 = -9*p + j. Suppose -141 = -p*d + 3*f + 162, 5*d - 529 = -f. What are the prime factors of d? 3, 5, 7 Let u = 1760 - 1588. List the prime factors of u. 2, 43 Let p = -377 - -160. Let f = 28 - p. What are the prime factors of f? 5, 7 Suppose -10670 = -3*w + 2*n, -281 = w + 2*n - 3851. What are the prime factors of w? 2, 5, 89 Let f = -127 + 132. Suppose 3 = 8*n - f. What are the prime factors of 12250/80 + n/(-8)? 3, 17 Suppose n + 2*n = -5*z + 1534, -5*z = -2*n + 1006. Let x = n - 186. Let p = 451 - x. What are the prime factors of p? 3, 43 Let n = 16111 - 15157. List the prime factors of n. 2, 3, 53 List the prime factors of (213/(-2))/(-30*(-20)/(-58000)). 5, 29, 71 Let r = -11 + 16. Suppose 3*u = r*k + 10 + 13, 3*k = 4*u - 49. Suppose 0 = -12*f + u*f - 276. What are the prime factors of f? 3, 23 Let u be ((-21)/(-4))/3 - (-1)/4. Suppose 4*k - 4*m = 12, u*m = -2*k + 7*m + 15. Suppose 13*h - 8*h - 715 = k. List the prime factors of h. 11, 13 Let f = 35589 + -28901. What are the prime factors of f? 2, 11, 19 Suppose 8139 = 4*o + x, -3*x - 42 = -39. What are the prime factors of o? 5, 11, 37 Let t be (-2)/(-8)*6 + (-9)/6. Suppose 3*w - 5*l - 187 = t, -3*w + 3*l + 39 = -144. What are the prime factors of w? 59 List the prime factors of -5 - (3*90)/(40/(-1580)). 2, 5, 13, 41 Suppose 3*j - 17 - 4 = 0. Suppose -2*x = j*x + 153. What are the prime factors of (-2414)/x*1/1? 2, 71 Let z(w) = -3*w**3 - 7*w**2 - 5*w + 7. Suppose 4*j + 10*j = -266. Let l be (-5)/(-2)*(17 + j). What are the prime factors of z(l)? 2, 29 Suppose -2*r = -3*y - 51492, 4*y + 102988 = -261*r + 265*r. What are the prime factors of r? 3, 2861 Let v(p) be the second derivative of -25*p**4/24 + p**3 - 5*p**2 - 13*p. Let c(n) be the first derivative of v(n). What are the prime factors of c(-3)? 3 Suppose d + 0 - 1 = z, -4*d - 3*z + 18 = 0. Let g(l) = 1546 - 1549 - 3455*l + 3501*l. List the prime factors of g(d). 3, 5 Let n(o) = -o**3 - 8*o**2 + 20*o + 1. Let b be n(-10). List the prime factors of (7/((-252)/(-60)))/(b/465). 5, 31 Suppose 189929 + 43045 = 21*n. List the prime factors of n. 2, 3, 43 Suppose 42*t = 37*t + 12060. Suppose -3*d - 3017 = -5*l, 6*l - 10*l + 2*d = -t. List the prime factors of l. 601 Let q = 2787 - 1641. Let b = 154 + q. What are the prime factors of b? 2, 5, 13 Suppose -137468 = -f - 10*f + 29270. List the prime factors of f. 2, 11, 13, 53 List the prime factors of 4*(42145/60 + 18/54). 3, 937 Let n be -15*(17/3 - 6). Suppose -1780 = 5*c - q - 6313, n*q - 1824 = -2*c. What are the prime factors of c? 907 Suppose -2*o + 7*o - 26*o + 326802 = 0. List the prime factors of o. 2, 31, 251 Let q(b) = 5 + 7 - 7*b + 30*b**2 - 22*b**2. Suppose 3*v - 4*v = g - 7, 16 = v + 4*g. List the prime factors of q(v). 2, 7 Suppose 2*r = -2*s + 40688, 11*s = 9*s + 3*r + 40653. List the prime factors of s. 3, 6779 Suppose -83*r - 556141 + 1212281 = -1960352. What are the prime factors of r? 2, 3, 37, 71 List the prime factors of -10 - 13/(260/(-1476300)). 5, 29, 509 Let t(f) = 33*f**2 + 2*f - 2. Let x be t(2). Let p = 242 + x. What are the prime factors of p? 2, 47 What are the prime factors of (-255)/(-204) - (-149647)/4? 3, 4157 Let w = -8 + 16. Let n be (-57)/(-2)*16/w. Let g = n + -33. What are the prime factors of g? 2, 3 Let k = -549 - -16418. List the prime factors of k. 7, 2267 Let h(z) = -z**2 + z + 1. Let c(m) = -39*m**2 + 26*m + 77. Let q(k) = -c(k) - 3*h(k). What are the prime factors of q(-3)? 5, 7, 11 Let c(l) = -2*l**3 - l**2 + l - 1. Let s(k) = -11*k**3 + 15*k**2 - 13*k - 51. Let j(v) = 5*c(v) - s(v). What are the prime factors of j(22)? 2, 3, 5, 47 Suppose -55*z + 200550 = 95*z. List the prime factors of z. 7, 191 Suppose -2 = -f - 4. Let h be f/9 - 22/(-99). Suppose h*z - 28 = -z. What are the prime factors of z? 2, 7 List the prime factors of (-4)/(-3)*(-37)/(185/(-70200)). 2, 3, 5, 13 Let o(d) = -1535*d + 9. Let h be o(-2). Suppose 33*z = 16820 + h. List the prime factors of z. 3, 67 Suppose 18 = 10*v - 2. Suppose -g = 5*y - 2013, -749 - 67 = -v*y - 4*g. What are the prime factors of y? 2, 3, 67 Let a = -96394 - -162586. List the prime factors of a. 2, 3, 7, 197 Let c = -173 + 195. Suppose -12152 = -6*f - c*f. What are the prime factors of f? 2, 7, 31 Suppose -11*l + 5 = -6*l. Suppose 11*z - l - 54 = 0. Suppose -183 = -z*f + 877. List the prime factors of f. 2, 53 Let r(m) = 388*m - 11. List the prime factors of r(9). 59 Suppose -37*t - 3531540 = -173*t - 1004660. List the prime factors of t. 2, 5, 929 Let n = -57 - -56. Let k = n - -5. Suppose -k*q + 660 = 2*p, -q = 2*p - 4*p - 175. List the prime factors of q. 167 Let i = -2658 - -2746. What are the prime factors of i? 2, 11 Let s = 183 - 181. Suppose -g - 210 = -2*z, g = -2*z + 134 + 68. Suppose s*c - r - 152 = 81, -4*r = c - z. What are the prime factors of c? 5, 23 Let x be (-3)/((21/4)/(-7)). Suppose -5*u - 4*s + 2 = 0, s + 2*s + 14 = x*u. Suppose n - u*h - 40 = 0, 136 = 3*n - h - h. What are the prime factors of n? 2, 3 List the prime factors of 2/(72/30) + 3/(-36)*-233978. 17, 31, 37 Let w(s) = -s**2 + 3*s. Let g be w(2). Suppose g*i = 2 + 330. List the prime factors of i. 2, 83 Let t(l) = 3*l**2 + 13*l + 5. Let y be t(-5). Suppose 5*f = y - 50. What are the prime factors of (3 + -6)*f*1? 3, 7 Let a(v) = 7*v - 6. Let t be a(2). Let q(l) = 17*l - 2. Let y be q(t). Suppose -46 = -3*u + y. What are the prime factors of u? 2, 3, 5 Let u = 25 + 650. Suppose 4*l + 3*k = u, -16 + 15 = -k. What are the prime factors of l? 2, 3, 7 Let o = -6157 - -12309. What are the prime factors of o? 2, 769 Let f be (-1 - -46) + 18 + -19. Let q = -26 + f. List the prime factors of q. 2, 3 Suppose 0 = 40*j - 30*j + 120. What are the prime factors of (9142/(-56))/(3/j)? 653 Let c(j) = -j**2 - 26*j - 57. Let v be c(-23). List the prime factors of ((-45)/v)/((-246)/80 + 3). 2, 5 Suppose 8*h - 27 = 13. Suppose -5*o = -10, -3*p - h*o - 1418 = -6*p. List the prime factors of p. 2, 7, 17 Suppose 7*q - 15*q + 96 = 0. Let l(o) = 16*o + 7 - 4*o + 7. What are the prime factors of l(q)? 2, 79 Let k(h) = 16*h + 91. Let g be k(13). Let p = 1555 - g. List the prime factors of p. 2, 157 What are the prime factors of (2*62/(-5))/(284/95 - 3)? 2, 19, 31 Let p(f) = -3*f**2 + 114*f - 216*f**3 + 4*f**2 - 115*f. Let t be p(1). Let s = -100 - t. List the prime factors of s. 2, 29 Let n(u) = -u**3 + 9*u**2 - 8*u + 5. Let w be n(8). Suppose -4*y + 5*y - 20 = w*p, 3*y + 4*p = -16. Suppose -3*m + 4*m - 54 = y. List the prime factors of m. 2, 3 Let j(t) = 4304*t - 6664. What are the prime factors of j(6)? 2, 5, 479 Suppose 0 = -2*l - 5*w + 6648, -24*w = -5*l - 21*w + 16589. What are the prime factors of l? 3319 Let z = -75 - -135. Suppose 0*k - z = -g - k, 3*k + 226 = 4*g. Let o = 84 - g. What are the prime factors of o? 2, 13 Let a = -41335 + 58949. List the prime factors of a. 2, 8807 Let v = -453 - -1266. Let c = -38 + v. List the prime factors of c. 5, 31 Let a(n) = -13*n**3 + 19*n**2 - 5*n + 16. What are the prime factors of a(-4)? 2, 293 Suppose -4*x + 75815 = 3*a - 67845, 191546 = 4*a + 5*x. What are the prime factors of a? 2, 11971 Let x be (-403)/(-39) + -11 - (-76)/6. Suppose x*n = -n + 3081. What are the prime factors of n? 3, 79 Let o = -941 - -9257. Let n = o + -4506. What are the prime factors of (-2)/(-10) - n/(-75)? 3, 17 What are the prime factors of 2/(1 - 42/30) + (11078 - 9)? 2, 3, 461 Let b = -1189 - -733. Let y = b + 460. What are the prime factors of y? 2 Suppose -g - 804 = -3*g. Let o = 178 - 409. Let x = g + o. List the prime factors of x. 3, 19 Let g(b) be the first derivative of b**5/60 - 7*b**4/24 + 35*b**3/6 + 12*b**2 + 29. Let o(n) be the second derivative of g(n). List the prime factors of o(15). 5, 31 Suppose 10 = -46*z + 48*z. Suppose -z*x + 7*x = 128. Suppose -x = -5*j + 4*o - 2*o, 3*j + 2*o = 48. What are the prime factors of j? 2, 7 Let z(n) = -288*n*
{ "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" }
z*o - 71*o + 36 = 0 for o. -2 Let x(y) = -y - 13. Let i be x(-4). Let f(a) = a**2 + 7*a - 19. Let r be f(i). Let k be -3*r/(-3) - -4. Solve 1 - k = t for t. -2 Let g = 5033 - 4879. Solve -44*o = -g - 154 for o. 7 Let j(m) = m**3 + 7*m**2 - 8*m + 9. Let z be j(-8). Let l be z + (18/(-4) + 3)*2. Solve 3*y - l = 5*y for y. -3 Suppose 22*x = 9*x + 13. Let m be (-1)/(-2) - x/2. Solve m = -5*u - 12 + 2 for u. -2 Suppose 0 = -44*c + 107*c - 52*c - 231. Solve -18*a + c*a = -12 for a. -4 Let s = 12750 - 12737. Solve -9*b + s*b = 12 for b. 3 Suppose t + 25 = -4*t. Let p(u) = 0*u**3 - 4*u + 9*u**2 - 1 - 5 + 2*u**3 + 12. Let o be p(t). Solve -k + 1 + o = 0 for k. 2 Let v(t) = -2*t**3 + 26*t**2 - 17*t - 9. Let o be v(12). Let f = o + -72. Solve f = -z + 4 for z. 1 Let z(d) = -5*d + 3*d + 2*d - 6*d + 7 + 44. Let p be z(8). Solve p*f + f + 12 = 0 for f. -3 Let x(q) = 44*q + 556. Let j be x(-12). Solve j*t - 20 = 8 for t. 1 Let w = 9 - -59. Let r be -4 - (1 + -1) - (w + -92). Let v be (-28)/(-6) + 40/30. Solve -v*u + r = -u for u. 4 Let o = 1585 + -1585. Solve o = -68*v + 70*v - 12 for v. 6 Let s = -4577 + 4591. Let o be 2 - (-2 + 1)*3. Suppose o*l + s + 11 = 5*g, 0 = -5*l - 10. Solve a + g + 0 = 0 for a. -3 Let o be (-3)/(-6)*16/2. Let f = -204 - -195. Let l be f/(-6) + 24/48. Solve -o*d + l = -6 for d. 2 Suppose 3*c = 5*d + 9, 386*d - c = 383*d - 3. Solve d = -s + 71 - 72 for s. -1 Let g = 86 - 86. Let p be g/(-3 - -1)*1/(-2). Suppose p = -j + 7*t - 3*t + 20, 5*t + 31 = 2*j. Solve -j*n = -3*n for n. 0 Suppose -3*t + 85 = 5*i - 120, 0 = 4*t - 5*i - 320. Let x = 54 - t. Let g = -17 - x. Solve g = -w - 0 for w. -4 Let k(q) = -q**3 + 23*q**2 + 3. Let z be k(23). Suppose 7*m - 6*m - 2 = -f, -18 = -z*m + 3*f. Solve -7*o = -m*o + 3 for o. -1 Let z be -26 + 3145/119 + 221/7. Solve -24*m = -z*m + 8 for m. 1 Let b(z) = 4*z**2 + 2*z + 1. Let r be b(-1). Suppose r*p = -4*p + 2*p. Suppose p = -7*y + 21 + 14. Solve y + 20 = 5*j for j. 5 Let d(t) = -2*t**3 + 9*t**2 - 5*t + 8. Let p be d(4). Suppose 0 = 2*w + 4*i - 24, -4*w + 5*i = -10 + 1. Solve 2*s - w*s - p = 0 for s. -1 Suppose -1626 = 4*u + 2*g, -843 = 10*u - 8*u - 5*g. Let r = -404 - u. Solve -11*d + 16*d = r for d. 1 Let m = -4452 + 4529. Solve 0 = -4*x - 53 + m for x. 6 Suppose -10*s = -13 - 27. Suppose 0 = -z + s*k + 25, -2*z + 44 = 2*k - 7*k. Solve -15*j = -z*j for j. 0 Let h(r) = -r**3 + 5*r**2 - 2*r - 5. Let a be h(4). Let i be 0*(-35 - (-83 - -47)). Solve i = l + a for l. -3 Let k = 15 + -17. Let j be 2 + 2/(4/k). Suppose -3*i + i = -3*i. Solve -4*r + 3*r - j = i for r. -1 Suppose -5*u + 2*h = -3828, -2*h + 347 = u - 421. Solve 21*m + u = 661 for m. -5 Suppose -10*h = -2*h + 152. Let x = h + 21. Suppose 4*y = 4*c, -x*c + 5*c + 4*y - 21 = 0. Solve c = k + 8 for k. -5 Suppose 0 = -10*m + 256 - 96. Suppose 5*d - 16 = -4*h, -m + 28 = 3*h - d. Solve -5*l = -9*l + h for l. 1 Let f = -7653 + 7678. Solve -11*s = f - 80 for s. 5 Suppose -343*z - 4*m + 48 = -339*z, z - 2*m + 9 = 0. Let p = 4 - 6. Let v(x) = -x - 1. Let q be v(p). Solve z*c - 4 - q = 0 for c. 1 Suppose -2*l + 0*l = -22. Suppose 1398*p = 1405*p - 14. Let o be ((-3)/9)/((-1)/9). Solve 0 = o*i - l + p for i. 3 Let p = 36921 - 36781. Solve -p = -4*k - 31*k for k. 4 Let f = -15 + 17. Suppose -5*h - 20 = 0, f*o + 4*h = -o - 43. Let t be (-2)/6*o/(1 + 2). Solve 3*r + 5 = -t for r. -2 Let i = 113 - 109. Let f = i + -1. Solve -2*y - 3 = f for y. -3 Let y be (-85)/(-34)*(-12)/(-10). Suppose 0*k - 3 = -y*k. Suppose 3*v + 4*j - 14 = 0, -2*j = v - 6*j + 6. Solve v*l = l - k for l. -1 Let o be 25/2*10/(-225)*-9. Solve d = -4*d - o for d. -1 Let h be -3*(-105)/(-45) - (-1 - 100). Solve 16*v - 14 = -h for v. -5 Let v(b) = 5*b**2 - 32*b - 2 - b**3 + 37*b + 3*b**2. Let q be v(9). Let d = q + 38. Solve d*m + 8 = -2*m for m. -4 Suppose -2*f = 3*q - 7*f - 290, -f + 338 = 3*q. Solve 0 = -15*v + 70*v + q for v. -2 Let x(z) = 5*z - 14. Let k be x(8). Solve 12*t + k = -34 for t. -5 Suppose 71*j - 5*u = 74*j - 511, 623 = 4*j - 5*u. Solve 4*q + 50*q = j for q. 3 Let p(j) = -2*j**3 + 21*j**2 + 14*j - 21. Let o = -217 - -228. Let w be p(o). Solve t + 8 = w for t. 4 Let p(u) = u**2 - 25*u + 26. Let k be p(23). Let x be (-4)/(-3)*(-7 - k/5). Let m = 6 + x. Solve -2*h = 8 + m for h. -5 Let g be (-2)/(-8) + 14/8. Let s = 474 - 129. Suppose 0 = 351*j - s*j - 30. Solve 3*n = g*n + j for n. 5 Suppose 0 = -u + 6*g + 9, 3*g - 123 = 4*u - 138. Solve -u*i + 30 - 51 = 0 for i. -7 Let q(z) = -4*z**2 + 3*z**3 - 28*z - 28*z + 21 + 84*z - 29*z. Let d be q(0). Solve -20*l + 13*l + d = 0 for l. 3 Suppose -3*t + 31 = 5*p, -2*p + p + 4*t = -20. Suppose 0 = -4*y + 8 + p. Suppose 4*x = -5*n - 3, 2*x = y*n - 8*n - 6. Solve x*k = -7 - 8 for k. -5 Let h(s) be the second derivative of s**3/6 - 11*s**2/2 + 228*s. Let n(w) = 3*w + 4. Let c be n(3). Let j be h(c). Solve -j*a = a + 15 for a. -5 Let b(v) = v**2 + 55*v - 564. Let u be b(-64). Solve -u*m - 23 = -71 for m. 4 Suppose -9*m = -19*m - 7*m. Suppose 15*x - 2 - 118 = m. Solve 4*n + x = 16 for n. 2 Let j = 2742 - 2682. Solve 21*k - 31*k + j = 0 for k. 6 Let x(i) = 6*i + 352. Let n be x(-58). Solve 556 = -n*s + 568 for s. 3 Let v(j) = -j**2 - 78*j - 423. Let r be v(-72). Solve -r = 15*b + 36 for b. -3 Let u be (58/10 - 1 - (-106)/530) + 33. Solve u*o = 45*o + 35 for o. -5 Let a = 44 - 20. Let q = a + 33. Let f = q + -51. Solve f*n - 5 = n for n. 1 Suppose 39 = 3*z - 6*j, -12*z + 3*j = -10*z - 24. Solve -l = -z*l for l. 0 Suppose 0 = 5*n + 4*o - 287, 35*n - 126 = 33*n + 4*o. Solve -m - n = -58 for m. -1 Let i be (132/5)/(2/(-10)). Suppose -2407 - 1160 = 77*d + 46*d. Let g be (-22)/i - d/6. Solve t = g*t for t. 0 Let u(l) = 21*l**2 + 20*l + 20. Let d be u(10). Suppose 3*t + d - 2347 = 0. Solve 5*y = -t + 34 for y. 5 Suppose -2*v + 5*f = -v - 5, -1 = 5*v + f. Let t = -646 - -648. Let m be t/(-7 - -3) + 26/4. Solve 2*c + v*c + m = 0 for c. -3 Let a be (-4 - 159/(-8)) + (-4)/(-32). Solve a*h = 14*h + 6 for h. 3 Suppose -x - 3 = -a - 2, 5*x - 15 = a. Let r(f) = f - 4. Let h be r(x). Solve h*n = 4*n for n. 0 Let x(p) = -19*p - 30. Let q be x(-12). Let w = q + -198. Solve -2*y + 5 + 3 = w for y. 4 Suppose 29 = 24*o - 43. Suppose 2*y = -a + o, 3*y = -2*y - 2*a + 10. Solve 3*z = -y + 1 for z. -1 Suppose -46*q + 5*c = -44*q, 0 = 5*q - 5*c. Solve q = 13*p - 3*p + 30 for p. -3 Suppose -429*m = -442*m + 520. Suppose m*w = 39*w. Solve u - 3 + 1 = w for u. 2 Let v = -5 + 6. Suppose 17*r + 888 = -336. Let u = 75 + r. Solve 2 = -u*a - v for a. -1 Suppose -45*a + 488 + 232 = 0. Solve -a*v = -2*v for v. 0 Let l(g) be the first derivative of -g**2 + 26*g - 76. Let s be l(12). Solve 8*j = s*j + 18 for j. 3 Let d(b) be the first derivative of -b**4/4 - 5*b**3/3 + 15*b**2/2 + 7*b - 1. Let l = 55 + -62. Let a be d(l). Solve -f - 1 - 2 = a for f. -3 Let p be 129 + 1/((30/4)/(-15)). Solve -104 = -33*s + p for s. 7 Let y(v) = 27*v - 71. Let f be y(3). Let z be ((-45)/10 + 2)*(-112)/f. Solve -6*r - 4 = -z for r. 4 Suppose 1414*k - 1393*k = 16359. Solve 772 = d + k for d. -7 Let j(c) = 3*c**2 + 10*c + 20. Let g(w) = -w**3 - 4*w**2 - 3*w. Let p be g(-2). Let y be j(p). Solve -8 - y = 4*a for a. -5 Suppose 9 = 3*l - 5*f, 0 = l - f - 2*f - 7. Let o be -2 + (5 - 12/l). Solve 0 = -0*c + 3*c - o for c. 3 Let b(z) = -15 - 13*z - 45*z - 30*z + 17*z - 11*z**2. Let s be b(-6). Solve s*o = 17*o + 10 for o. -5 Let b(l) = -l**3 - 35*l**2 - 32*l + 75. Let t = 341 + -375. Let y be b(t). Solve -y = 2*k - 9 for k. 1 Suppose 1224 = 270*y - 252*y. Suppose -3*j + 648 = 138. Let m be 73/5 + y/j. Solve m = t + 2*t for t. 5 Suppose -w - d + 4*d + 21 = 0, -3*d + 42 = 2*w. Solve 37 = -w*v - 26 for v. -3 Suppose -1139 = -23*t + 420 + 1040. Solve 0 = -8*z + t - 57 for z. 7 Let l = 1533 + -1517. Solve a = l*a for a. 0 Let o = 66 + -68. Let l be ((5/(-20))/1)/(o/56). Solve l + 18 = -5*g for g. -5 Let i(u) = 5*u + 51. Let q be i(-7). Suppose -q - 6 = -11*p. Suppose -2*l = 4*v - 52, 4*l + 46 = 4*v + 6. Solve v = 5*w - p*w for w. 4 Let d(i) = i**3 - 42*i**2 + 12*i - 504. Let l be d(42). Solve l = 9*y + 21 - 3 for y. -2 Suppose 5*n + 8*s = 167, -51*s = -53*s + 18. Solve 30*y = n*y + 44 for y. 4 Let f(a) = -5*a + 28. Let x be f(8). Let d be (-4)/x*-29 - 1/3. Let w = d - -12. Solve -w = -y + 2 for y. 4 Suppose -84 =
{ "pile_set_name": "DM Mathematics" }
r: 0 or s? 0 Let w = 0 + 0. Suppose w*r = 5*r. Let k = 16254/5 - 3251. Which is smaller: k or r? k Let x = -494 - -495. Is x at most as big as 1/1664? False Let l(f) be the third derivative of -f**5/20 - f**4/24 + 2*f**3/3 - 10*f**2. Let v be l(2). Let b be 6/v - (-115)/150. Do b and 0 have different values? True Let h be 8/(-6)*6/(-4). Suppose -1 = h*c + 3. Let v = -83 + 84. Which is bigger: c or v? v Let l = 3285/4 - 826. Is l < -6? False Let q(c) = -2*c**3 + 70*c**2 + 2*c - 85. Let y be q(35). Which is smaller: y or -28? -28 Let a be 10/24 + (-6)/(-108)*6. Is a bigger than -64? True Let z be (-54)/(-81)*(0 + 3/(-7)). Let o = -3/10 + -1/5. Which is bigger: o or z? z Let o(s) = -s**2 + 17*s + 3. Let y be o(17). Suppose 0*x - y*x + 9 = 2*m, 4*m = 4*x - 12. Let q be -1 - ((-18)/11 + 1). Which is smaller: q or m? q Let u be -2 + 0 - (-9 - -4). Suppose d - 9 = -2*y - u, 5*y = d - 20. Suppose -3*c + 11 = -d. Does c = 7? True Let j be (-2)/((-1)/1 - -170). Let k = j + 356/1521. Is k greater than 0? True Let c = 6.21 - 6.09. Let k = 0.03 + 0.05. Let g = c + k. Are g and 2 non-equal? True Let w = 536 - 536. Which is greater: w or -6/157? w Suppose -97*h = -27*h - 1260. Let i(g) = 1. Let y(f) = -f**2 + f. Let m(b) = 5*i(b) - y(b). Let l be m(4). Which is greater: l or h? h Let a be -1 - -3 - 303/33. Let d = 8 + a. Let t = d + -103/99. Is t bigger than 1? False Suppose -5*w = 4*d + 657, -3*w = -2*d - 2*d + 375. Is w at most as big as -130? False Let w(z) = 2*z + 5. Let d be w(-6). Let q be 0 + (d/48 - 0). Let g = q + -3/16. Are g and -1 equal? False Let y = -24 - -20. Let v(w) = w**3 + 5*w**2 + 4*w + 1. Let d be v(y). Suppose 0 = -2*m + 5*r + d, r - 1 = 4*m + 6. Which is smaller: m or 0? m Let z(t) = 86*t**2 - 6*t + 3. Let r be z(1). Which is smaller: r or 85? r Suppose -18 = -2*a - 0*c + 2*c, 3*c + 15 = 0. Suppose -6*d = -a*d - 6. Suppose d*f - 27 - 3 = 0. Which is smaller: f or 9? 9 Let n be (-363)/(-15) - (-12)/15. Let b(a) = 6*a - 6. Let g be b(5). Are n and g nonequal? True Let w = 358 + -284. Which is smaller: 76 or w? w Let x = 26 - 12. Let n be (2/x)/(7/(-35)). Is -1 at least n? False Let h be 2/7 - (-5252)/(-56). Which is smaller: h or -93? h Let l be 102/(-4)*(-28)/6. Is 118 less than or equal to l? True Let h(z) = -z**2 - 5*z - 10. Suppose -20 = -2*l - 0. Suppose -l = 3*q + 5. Let r be h(q). Is r equal to -9? False Let k = 1.2 - 1. Suppose n = 7 + 39. Let w = n + -365/8. Which is greater: w or k? w Let x be 88/1 + (2 - 0). Suppose -5*r - x = -7*r. Let q be r/200 - (-3)/(-24). Is q less than -1? False Let h(k) = 5*k - 1 - 4*k - 4 + 0*k. Let w be h(4). Is -2 < w? True Suppose -3*n + 4 = -5, 4*n = -l + 57. Let y = 14 - l. Is -33 not equal to y? True Let o(x) = 17*x**3 + 5*x**2 - 9*x + 3. Let h be o(2). Is h greater than 139? True Let p(o) = o**3 - 6*o**2 - 7*o - 1. Let m be p(-1). Are -50/23 and m equal? False Let d(z) be the first derivative of -z**2/2 - 3*z + 21. Let i be d(-4). Let r be (11/(-11))/(38/4). Which is bigger: r or i? i Let l(h) be the third derivative of -h**6/120 - h**5/30 + 5*h**4/12 - 5*h**3/3 - 10*h**2. Let m be l(-5). Do 15 and m have different values? False Let o = -269 - -272. Which is smaller: o or 78/23? o Let y = 165 + -165.1. Is 4 at least as big as y? True Let l(m) be the second derivative of m**3/6 - 3*m**2/2 + m. Let i be l(0). Let u = -11596/3 - -3863. Which is smaller: u or i? i Let x(r) = -249*r. Let t be x(1). Let b be 3/((-81)/6) + t/(-27). Is b at least 9? True Suppose 0 = h + 5*k + 20, 2*h + k = -2*k - 12. Suppose 25*t - 20*t + 15 = h. Let q = -62 + 121/2. Which is bigger: t or q? q Let o(k) = -k - 13. Let l be o(0). Let v(x) = 3*x**2 - 21*x + 8. Let m be v(6). Which is bigger: m or l? m Let a = 0 - -10. Let t = a + -10.1. Let s = 0.1 + t. Is s greater than 2? False Let p = 236 + -216. Is p bigger than -1? True Let n = 1911 + -1762.3. Let t = -149 + n. Let k = 8 - 6. Do k and t have different values? True Suppose 0 = 2*q + 5*m - 26, m - 3*m = -3*q + 1. Let h = q + 2. Let t = 16/31 - 50/217. Does t = h? False Suppose -6 = 5*n + 3*u, n + n - 3*u - 6 = 0. Suppose n = 5*k - 4*m - 8, 5*k - 6*k - 2 = m. Let i = -1/73 + 223/292. Which is bigger: i or k? i Let s(x) = x**2 + 19*x + 59. Let g be s(-15). Does g = 1/265? False Let k(x) = x**2 + 14*x. Let z = 4 + -19. Let f be k(z). Suppose 6*y - f = y. Is y < 1? False Let t be -5*(-12)/20 + 0 + -2. Which is smaller: -2/215 or t? -2/215 Let m = 858821/6496290 + -2/112005. Let h = m + 1/29. Is 0 greater than or equal to h? False Let o(k) = -k + 7. Let g be o(4). Suppose 0 = g*f - 19 - 5. Which is smaller: 0.6 or f? 0.6 Let c = 159 - 158. Let u = -368/83 + 436633/1079. Let h = u - 400. Which is smaller: c or h? h Let h = 54.08 - 54. Is -5/8 equal to h? False Let s(f) = -f**2 - 2*f. Let v be s(-4). Let z be (21/v - -1) + 2. Suppose 8*i - 5*i = 0. Is z less than or equal to i? False Let o be 925/(-1725) + 4/6. Which is smaller: 0 or o? 0 Let a be 2/((-8)/(-17)) + (-1)/4. Suppose a*h + 11 = h - x, 0 = -5*h + 3*x + 5. Is h less than -3? False Let d = -13.4 + 13. Let x = d + 8.5. Let s = x + -9. Which is smaller: -0.2 or s? s Let o be (-28504)/18 + -11 + 9. Let t = o + 1588. Which is smaller: t or 3? t Suppose 5*r - 15 = 45. Let n be (r/(-36))/(26/6). Which is smaller: 1 or n? n Let y = -17.015 - -0.015. Let w = y + 16.9. Is w greater than -13? True Suppose v + 2*v - 27 = 0. Suppose 4*m - p = 7, 0*m - 4*m - p = -v. Suppose -h - 3*x = -9, -10 = m*h - 2*x - 4. Which is bigger: h or 2/33? 2/33 Let k = 295 + -295.04. Which is bigger: 1/5 or k? 1/5 Let r = 34 - 28. Suppose y = -0*x - 2*x + 15, x = -2*y + 6. Which is bigger: x or r? x Let d = 4.5 - 4.7. Are d and -520 unequal? True Let c be 6/(-12)*((-90)/(-12))/3. Do 105 and c have different values? True Let x be ((-24)/126)/((-4)/(-14)). Which is bigger: x or -3.42? x Let k be 2*(21/(-6))/(-7)*11. Suppose 60 = k*x - 7*x. Suppose -4*n + 46 = -18. Which is greater: x or n? n Let z = -75/287 + -1/41. Let s = -1.86 - 14.14. Is z smaller than s? False Let w(x) = -9 - x + 0 - 15. Let k be w(-14). Let n be 20/(-24)*(-3)/k. Which is smaller: n or 0? n Let p(u) = -u**2 + 13*u - 14. Let l be p(12). Let o be 4 + -6 - 1*l. Let q be ((-2)/(-15))/(12/(-15)). Which is bigger: q or o? o Let g(j) = -3*j**2 - 23*j + 14. Let q be g(-8). Suppose -3 = -q*f + 3*f. Which is smaller: -4/29 or f? -4/29 Let f = -87 + -9. Let k = 96 + f. Let u = -3 - -2. Is k greater than u? True Let b = 0.223 - -0.777. Let a = -0.3 + 0.2. Is a bigger than b? False Let a = -2 - 2. Let t = a - 10. Let d = -8 - t. Is d less than 6? False Suppose 4*v = -i - 2432, -2*v - 2*i = i + 1206. Is -608 <= v? False Suppose 7 + 53 = -5*j. Let u be (j/40)/(2 - (-38)/(-10)). Is u at most -1? False Suppose 3*y = 7*y + 8. Let z be (0 - -1 - 0)*174/(-290). Are y and z unequal? True Let x be (-8)/(-20) + (-40910655072)/(-10070). Let o = 4062628 - x. Let b = -20/53 + o. Which is greater: 1 or b? 1 Let p(o) = -2*o**2 - o + 2. Let s be p(1). Which is bigger: s or -11/45? -11/45 Suppose -25*m = -21*m + 60. Let w = m - -13. Which is smaller: -5 or w? -5 Suppose -3*y = 3*y - 18. Let f be (-3)/((-156)/56 + y). Let n be 51/(-36) - f/21. Is -0.1 not equal to n? True Let j(d) = 2*d**3 + 2*d**2 - 1. Let c be j(-2). Let k be c/6*33/(-27). Let w be (-4)/18 + 68/144. Which is greater: k or w? k Suppose -2*b - 1459 = -2043. Let m be -4 + 3 + (-3205)/11. Let v = m + b. Which is bigger: 1 or v? 1 Let j = 6.6 - -3.4. Let a = 7 - j. Is a less than or equal to -2? True Let d be 2/8 + 3 + 115203/(-252). Let q = -434 + 888. Let z = d + q. Do z and -1 have different values? True Let m = -86 + 66. Let g = m - -21. Which is greater: g or -1.6? g Suppose -3*q = k - 80, 4*q - q = 2*k + 92. Let f be 255/9 + 1/(-3). Is q greater than or equal to f? True Suppose -2*m = -3*m. Let z = 45753/28 + -1634. Which is greater: z or m? z Let c be ((-4 - -9) + 24)*(-1)/6. Is c != -6? True Let w(i) = -6*i + 3 + i**2 - 2 + 5. Let s be w(5). Let o be -1*(1 + -1 - (6 - 7)). Which is greater: s or o? s Let b = 870 - 870. Which is smaller: b or -1/486? -1/486 Let a = -4458/17 + 1154486/4403. Which is greater: a or -1? a Let g be 3/(-3) + -1 + 2. Let u be ((-2)/(-64))/(4/(-8)). Which is smaller: g or u? u Let c = -18977 + 151621/8. Whic
{ "pile_set_name": "DM Mathematics" }
M? 246 What is 573 minutes before 2:53 AM? 5:20 PM What is 195 minutes before 9:34 PM? 6:19 PM How many minutes are there between 5:59 PM and 4:27 AM? 628 What is 176 minutes before 3:37 AM? 12:41 AM What is 367 minutes before 6:40 PM? 12:33 PM How many minutes are there between 6:04 AM and 5:43 PM? 699 What is 405 minutes before 10:41 PM? 3:56 PM How many minutes are there between 11:31 PM and 7:53 AM? 502 How many minutes are there between 11:00 PM and 10:15 AM? 675 What is 296 minutes after 1:07 AM? 6:03 AM How many minutes are there between 5:50 AM and 2:02 PM? 492 How many minutes are there between 6:00 AM and 3:17 PM? 557 What is 342 minutes after 12:18 AM? 6:00 AM How many minutes are there between 9:18 PM and 11:28 PM? 130 How many minutes are there between 2:09 PM and 1:58 AM? 709 How many minutes are there between 1:13 PM and 6:08 PM? 295 What is 320 minutes after 8:09 PM? 1:29 AM What is 304 minutes before 6:35 AM? 1:31 AM How many minutes are there between 10:44 AM and 5:47 PM? 423 What is 360 minutes after 2:50 AM? 8:50 AM What is 325 minutes after 1:43 AM? 7:08 AM How many minutes are there between 1:14 PM and 4:20 PM? 186 How many minutes are there between 3:14 PM and 2:54 AM? 700 What is 207 minutes after 1:15 PM? 4:42 PM How many minutes are there between 5:16 AM and 9:27 AM? 251 How many minutes are there between 9:44 AM and 3:11 PM? 327 What is 474 minutes after 6:49 AM? 2:43 PM What is 524 minutes before 7:51 AM? 11:07 PM What is 266 minutes after 8:32 AM? 12:58 PM How many minutes are there between 5:16 AM and 6:16 AM? 60 How many minutes are there between 1:31 PM and 4:17 PM? 166 How many minutes are there between 6:46 PM and 9:15 PM? 149 How many minutes are there between 8:00 AM and 10:53 AM? 173 How many minutes are there between 9:03 PM and 2:13 AM? 310 What is 373 minutes before 7:43 PM? 1:30 PM What is 692 minutes after 3:53 PM? 3:25 AM What is 576 minutes before 11:53 PM? 2:17 PM What is 217 minutes before 2:45 PM? 11:08 AM What is 132 minutes after 10:11 AM? 12:23 PM What is 341 minutes before 10:34 AM? 4:53 AM What is 372 minutes after 3:45 AM? 9:57 AM How many minutes are there between 1:29 PM and 3:45 PM? 136 How many minutes are there between 8:04 AM and 2:46 PM? 402 How many minutes are there between 12:45 AM and 10:36 AM? 591 How many minutes are there between 7:56 AM and 9:43 AM? 107 How many minutes are there between 2:00 PM and 5:06 PM? 186 What is 207 minutes before 6:09 AM? 2:42 AM What is 49 minutes after 2:57 PM? 3:46 PM How many minutes are there between 2:37 AM and 7:16 AM? 279 How many minutes are there between 8:08 PM and 5:14 AM? 546 What is 387 minutes after 2:11 AM? 8:38 AM What is 526 minutes before 12:02 AM? 3:16 PM What is 657 minutes before 5:54 PM? 6:57 AM How many minutes are there between 11:23 PM and 6:27 AM? 424 How many minutes are there between 11:32 AM and 6:11 PM? 399 How many minutes are there between 11:19 PM and 10:28 AM? 669 What is 400 minutes before 7:48 PM? 1:08 PM What is 543 minutes after 9:38 PM? 6:41 AM How many minutes are there between 10:18 PM and 12:24 AM? 126 How many minutes are there between 5:34 AM and 2:52 PM? 558 What is 185 minutes after 1:33 AM? 4:38 AM How many minutes are there between 6:23 AM and 4:32 PM? 609 How many minutes are there between 6:12 PM and 7:03 PM? 51 What is 19 minutes after 9:18 AM? 9:37 AM What is 641 minutes after 8:05 PM? 6:46 AM What is 265 minutes after 4:13 AM? 8:38 AM How many minutes are there between 7:53 PM and 12:42 AM? 289 How many minutes are there between 5:14 PM and 12:26 AM? 432 How many minutes are there between 7:10 PM and 3:12 AM? 482 What is 249 minutes after 1:16 PM? 5:25 PM What is 25 minutes after 12:02 PM? 12:27 PM How many minutes are there between 2:43 PM and 7:36 PM? 293 What is 414 minutes after 11:27 PM? 6:21 AM What is 597 minutes before 7:11 AM? 9:14 PM How many minutes are there between 12:49 AM and 11:17 AM? 628 What is 19 minutes after 8:57 AM? 9:16 AM What is 107 minutes before 2:03 AM? 12:16 AM How many minutes are there between 5:43 PM and 9:06 PM? 203 What is 223 minutes after 4:34 AM? 8:17 AM How many minutes are there between 8:48 PM and 11:20 PM? 152 How many minutes are there between 4:39 PM and 4:41 PM? 2 How many minutes are there between 8:17 PM and 1:09 AM? 292 How many minutes are there between 9:23 AM and 10:11 AM? 48 How many minutes are there between 7:59 AM and 10:45 AM? 166 What is 628 minutes after 11:57 PM? 10:25 AM What is 508 minutes before 8:45 PM? 12:17 PM What is 634 minutes after 7:57 AM? 6:31 PM How many minutes are there between 10:07 PM and 9:08 AM? 661 What is 353 minutes after 5:50 AM? 11:43 AM How many minutes are there between 6:39 AM and 3:55 PM? 556 What is 692 minutes before 9:40 PM? 10:08 AM How many minutes are there between 3:04 AM and 4:11 AM? 67 How many minutes are there between 6:36 PM and 6:15 AM? 699 What is 714 minutes before 5:22 PM? 5:28 AM What is 318 minutes after 6:18 AM? 11:36 AM What is 195 minutes before 10:00 AM? 6:45 AM How many minutes are there between 12:24 AM and 5:01 AM? 277 How many minutes are there between 11:39 PM and 4:03 AM? 264 How many minutes are there between 2:12 AM and 5:23 AM? 191 How many minutes are there between 5:50 PM and 2:14 AM? 504 What is 560 minutes after 5:41 PM? 3:01 AM What is 485 minutes after 7:58 AM? 4:03 PM How many minutes are there between 11:27 PM and 11:22 AM? 715 What is 660 minutes before 12:09 PM? 1:09 AM What is 420 minutes before 6:03 AM? 11:03 PM How many minutes are there between 1:08 PM and 12:47 AM? 699 How many minutes are there between 12:28 AM and 9:31 AM? 543 How many minutes are there between 3:04 AM and 8:14 AM? 310 How many minutes are there between 12:46 PM and 4:43 PM? 237 How many minutes are there between 3:25 AM and 4:55 AM? 90 How many minutes are there between 8:29 PM and 6:47 AM? 618 How many minutes are there between 1:07 AM and 6:32 AM? 325 How many minutes are there between 4:52 AM and 11:51 AM? 419 How many minutes are there between 3:14 AM and 10:10 AM? 416 How many minutes are there between 9:16 AM and 9:52 AM? 36 What is 526 minutes after 11:43 PM? 8:29 AM How many minutes are there between 6:40 AM and 7:16 AM? 36 What is 480 minutes before 3:11 PM? 7:11 AM What is 244 minutes before 9:43 PM? 5:39 PM How many minutes are there between 3:20 PM and 4:27 PM? 67 What is 428 minutes after 2:21 AM? 9:29 AM What is 591 minutes before 5:31 AM? 7:40 PM What is 643 minutes before 8:17 AM? 9:34 PM What is 492 minutes after 2:16 AM? 10:28 AM What is 244 minutes before 1:58 AM? 9:54 PM What is 420 minutes after 5:43 AM? 12:43 PM How many minutes are there between 5:04 AM and 4:34 PM? 690 What is 144 minutes before 6:31 AM? 4:07 AM How many minutes are there between 12:51 AM and 8:34 AM? 463 How many minutes are there between 6:53 PM and 12:25 AM? 332 How many minutes are there between 11:11 PM and 4:15 AM? 304 How many minutes are there between 11:10 AM and 8:55 PM? 585 How many minutes are there between 3:30 PM and 6:59 PM? 209 How many minutes are there between 7:53 AM and 7:48 PM? 715 What is 44 minutes before 6:59 PM? 6:15 PM How many minutes are there between 11:08 AM and 4:23 PM? 315 How many minutes are there between 12:47 PM and 10:31 PM? 584 What is 568 minutes before 8:59 AM? 11:31 PM What is 137 minutes after 4:20 AM? 6:37 AM What is 10 minutes before 3:01 AM? 2:51 AM How many minutes are there between 9:43 AM and 9:53 AM? 10 What is 636 minutes after 4:08 PM? 2:44 AM How many minutes are there between 9:48 PM and 6:28 AM? 520 How many minutes are there between 12:02 AM and 9:09 AM? 547 How many minutes are there between 9:45 AM and 7:34 PM? 589 How many minutes are there between 11:17 PM and 5:43 AM? 386 What is 111 minutes after 3:24 PM? 5:15 PM How many minutes are there between 11:30 AM and 5:14 PM? 344 How many minutes are there between 1:25 PM and 10:53 PM? 568 How many minutes are there between 2:06 AM and 11:39 AM? 573 What is 176 minutes after 2:27 AM? 5:23 AM What is 195 minutes before 12:49 AM? 9:34 PM What is 89 minutes after 7:44 PM? 9:13 PM How many minutes are there between 11:11 AM and 11:36 AM? 25 How many minutes are there between 8:06 AM and 9:17 AM? 71 What i
{ "pile_set_name": "DM Mathematics" }
n increasing order. a, f, 2 Let q = 2.1 - -5.9. Let d = q + -8.3. Let y = -204 - -206. Put -0.4, d, y in decreasing order. y, d, -0.4 Let x be ((-15)/(-21))/((-3)/(-21)). Suppose 0 = x*a + 9 - 29. Put a, -4, 8, 5 in decreasing order. 8, 5, a, -4 Let a be (-1 + 29)*2/(-4). Let o = 11 + a. Put 5, 0, o in decreasing order. 5, 0, o Let h be 7 + (8 - 7) + 18. Put h, 0.4, -1/5 in increasing order. -1/5, 0.4, h Let c be 18/15*(-10)/(-18). Let r = -124 - -123. Put 1/10, c, r in increasing order. r, 1/10, c Let n = 424.1 - 424. Put n, -7, 4, -2 in increasing order. -7, -2, n, 4 Let r = 0.0267 + 14.9733. Put 0, -8, r, 5 in descending order. r, 5, 0, -8 Let z = 0.83 - 0.83. Sort 40, -2/9, z in decreasing order. 40, z, -2/9 Let l = -1.07 + 1.21. Sort -2/7, -1/7, l, 0 in ascending order. -2/7, -1/7, 0, l Let w = 0.71 + -0.81. Put -2, 3, 0.5, w in descending order. 3, 0.5, w, -2 Suppose -17*c = -19*c + 10, 0 = -3*m - 5*c + 34. Put -5, -4, -1, m in decreasing order. m, -1, -4, -5 Let i = -50 + 46. Put -0.4, -21, i, -0.05 in decreasing order. -0.05, -0.4, i, -21 Let v = -1101.17 + 1107. Let s = v + 0.17. Let p = 10 - s. Put p, 3, 2 in increasing order. 2, 3, p Let n(v) = -v**3 - 6*v**2 - 12*v - 75. Let y be n(-6). Suppose 0 = -3*z + 5 + 10. Suppose 20 = w + 5*b, -z*w - b - 7 = 13. Sort y, -1, w in descending order. -1, y, w Suppose 3*p = -25*c + 21*c + 108, 4*p = c + 125. Sort 0, p, 1 in increasing order. 0, 1, p Let j = 0.05 + 2.95. Let g(u) = u - 5. Suppose 5*x - 32 = p - 4*p, 4*p - 28 = -3*x. Let k be g(p). Put 5, k, j in decreasing order. 5, j, k Suppose 4*f - 8 = 2*s - 6*s, 2 = 2*f + 4*s. Suppose f*d + 2*l = 11, l = -0*d + d - 7. Let i = 31/6 - d. Put 4, i, 2/3 in descending order. 4, 2/3, i Let m be (10710/(-392))/(-17) + 1/7. Sort m, -5, 5, -3. -5, -3, m, 5 Suppose 4*j + j = j. Suppose -4*v = u - 12, -4*u = u + 20. Let b = v + -9. Sort j, b, -1 in descending order. j, -1, b Let r = 13049.4 + -13049. Let w be (-4)/15 - 6/(-15). Put -0.06, r, w in descending order. r, w, -0.06 Let t(v) = -v**3 + 8*v**2 - 5*v - 10. Let n(k) = k**3 - 12*k**2 - 12*k - 6. Let l be n(13). Let g be t(l). Put 0, g, -5 in ascending order. -5, 0, g Let r = 1.87 + 0.13. Sort r, 2/7, -7/2 in ascending order. -7/2, 2/7, r Suppose 0 = -3*g + 18 - 6. Suppose g*z + z = -2*t + 35, 3*t = -z + 20. Let o(c) = 3*c - 21. Let y be o(7). Put 1, z, y in descending order. z, 1, y Let o = 589 - 566. Put o, -1, -0.3 in decreasing order. o, -0.3, -1 Let k(r) be the first derivative of r**4/4 + r**2/2 + r + 1. Suppose -4*f + 12 = 3*p, -5*p = -3*f - 1 + 10. Let h be k(p). Sort -1, -4, h in increasing order. -4, -1, h Let f = -1.342 + 1.042. Let q = -2.5 - -1.8. Put -4, f, q in ascending order. -4, q, f Let d be (-10)/2*12/(-30). Let u(o) = -o**2 + 11*o + 15. Let z be u(12). Put d, z, 0 in decreasing order. z, d, 0 Let n = -0.22 + -0.08. Let r = 23.7 - 23. Let l = r - 3.7. Put 3, n, l in decreasing order. 3, n, l Let a = -9.9 - -1. Let w = 8.83 + a. Sort 0, w, -5 in descending order. 0, w, -5 Let r be ((-20)/(-6))/(2/6). Let y be 2688/(-72)*(-6)/(-4). Let p be 2/r - y/(-105). Sort p, -0.8, 4 in ascending order. -0.8, p, 4 Let k = -6.31 - -6.81. Sort 0.2, 2/371, k in descending order. k, 0.2, 2/371 Let q = 136.2 + -136.25. Put 2/5, 1/3, q, 3 in increasing order. q, 1/3, 2/5, 3 Let s = 0.7 + -4.7. Let r = 0.59 + 28.41. Let p = r - 32. Sort s, p, -2 in descending order. -2, p, s Let g be 2/6 + (-30)/(-18). Suppose g*l - 3*l = 0. Sort l, 5, -3. -3, l, 5 Let m = -92 - -94. Let j = -0.3 - -9.3. Sort m, -1, -2, j. -2, -1, m, j Let z = -558 + 557. Put z, 0, -49 in increasing order. -49, z, 0 Let j = 5 - -13. Let i = j - 13. Let o = -81 + 80. Put 2, o, i in descending order. i, 2, o Suppose -5*y = 3*u - 8*u - 10, 0 = y - 5*u + 6. Put 2, y, 1, -1 in increasing order. -1, 1, 2, y Let a(n) = n**2 + 3*n + 6. Let h be a(-4). Suppose -16 = 2*k - 4*d, -4*k - d - h = 2*d. Sort 0.3, -0.01, k in decreasing order. 0.3, -0.01, k Let q = 51.75 - 52. Let u = 0.24 + q. Sort -0.4, 3/7, u in decreasing order. 3/7, u, -0.4 Let o = -3.1 + 3. Let j = 13.57 + -11.57. Sort j, 2/5, 1/7, o in descending order. j, 2/5, 1/7, o Let w be (4 - (-186)/(-42)) + (-6)/(-14). Put 42, -1, -3, w in decreasing order. 42, w, -1, -3 Suppose m = -5*d - 30, -5 = -d + 3*d - m. Let f be (-1)/d + (-3)/15. Put 2, -1, f, 4 in descending order. 4, 2, f, -1 Suppose a = 4 - 8. Put a, -1, -5, 3 in ascending order. -5, a, -1, 3 Let x(p) be the second derivative of p**5/20 - 23*p**4/12 + p**3/6 - 23*p**2/2 + 19*p. Let y be x(23). Put -3, -1/10, y, 3 in increasing order. -3, -1/10, y, 3 Let y = 246 - 248. Put -11, 2, y, 0 in ascending order. -11, y, 0, 2 Let m = -0.03 - -0.13. Let d be (-2)/(-8)*0*-1. Let t be d + -4 + 25/10. Sort m, t, -2. -2, t, m Let d = 1351/835 + -3/167. Put d, 1/3, 1/5, 6 in descending order. 6, d, 1/3, 1/5 Let d = -8 - -8. Let c(x) = x**2 - 5*x + 10. Suppose -2*i - p = 4*p - 6, 12 = 4*i + 3*p. Let m be c(i). Sort m, d, 3 in decreasing order. m, 3, d Let b = -2 - -7. Suppose 0*c - 3*c + 9 = -4*o, 0 = -3*o + 4*c - b. Let r = -1 + -4. Sort o, 0.2, r. r, o, 0.2 Let o = 4 + -4.5. Let g = -87 + 92. Sort g, 4, o, -2 in descending order. g, 4, o, -2 Suppose 12*x - 16*x = -16. Suppose -2*s = x + 2. Sort -1, s, -14 in decreasing order. -1, s, -14 Let s = 563 + -559. Sort s, 46, -2/9 in descending order. 46, s, -2/9 Let w(a) = -a**2 - 4*a + 23. Let l be w(-7). Suppose 0 = -2*q + 6, l*q - 4*q = 2*f - 26. Put -2, 1, 4, f in decreasing order. f, 4, 1, -2 Suppose -4*f = 3*i + 20, 4*f = 2*i - 13 - 7. Sort 1, -25, i in descending order. 1, i, -25 Let a = 283 - -179. Sort -2, a, -3, -4 in ascending order. -4, -3, -2, a Let u = -18.1 + 18. Put u, 5, -6, -0.2 in decreasing order. 5, u, -0.2, -6 Let l = 476 + -476.2. Put l, -1/33, 0, 2/3 in decreasing order. 2/3, 0, -1/33, l Let w(u) = 2*u**3 + u**2 - 1. Let p be w(1). Let j = 4 - p. Let o = 310 + -313. Put o, j, 1/2 in ascending order. o, 1/2, j Let p(g) = 4*g + 1. Let j be p(1). Let a = 64 - 56. Suppose 9*r - 7*r = a. Sort j, 1, r in descending order. j, r, 1 Suppose 0 = 5*o - t - 36, -3*t = 3*o - 2*o - 20. Let i be 2/(-4) + (-6)/(-4). Let l be i/(2/1 + -3). Sort o, 3, l in increasing order. l, 3, o Suppose -35 + 235 = -50*p. Let u be 15*((-1)/(-3) + 0). Sort p, u, 13 in increasing order. p, u, 13 Let w = -92 + 132. Let r = 37 - w. Put r, 0, -4 in increasing order. -4, r, 0 Let v = -27.6 + 30.6. Put -4/9, -4/5, v in descending order. v, -4/9, -4/5 Let p be 1 + 0/3*(1 - 0). Put -51, p, -3 in decreasing order. p, -3, -51 Let l = -2/399 - 2384/1995. Suppose -22*h + 16*h = 0. Let v be ((-2)/(-18))/(4/8). Put h, l, v in ascending order. l, h, v Let h be 112/21 - 1/(-5 - -8). Sort -113, h, 4 in descending order. h, 4, -113 Let o = -805 + 508. Let y be o/(-45) - 6/10. Sort -2, 3, y, 4. -2, 3, 4, y Let c be (-180)/(-36) - 1*3*1. Suppose -2*j - 10 = 0, -z + 2*j - c = -13. Sort 3, z, 0 in increasing order. 0, z, 3 Let r = -30 - -13. Let o = r - -22. Suppose -o*f - 20 = 3*b, -3*f + 0*b + 17 = -4*b. Sort -4, f, 5 in descending order. 5, f, -4 Let s = 0.12 - -12.88. Let a = 4.34 + -6.34. Suppose 5 = 4*y - 5*y, -3*j = -5*y - 10. Put s, a, j in descending order. s, a, j Let a be (-120)/(-36)*18/(-12). Sort 4, a, -12, 3 in descending order. 4, 3, a, -12 Let o = 13/12 - 115/84. Put o, -1/9, -2/5 in descending order. -1/9, o, -2/5 Suppose 74*f = 50*f - 72. Suppose 0*v = 5*v - 10. Sort -1, -5, v, f in ascending order. -5, f, -1, v Let l(o) = o**2 + 8*o + 9. Let j be l(-7). Let g be (5 - -2 - 3) + 0. Suppose z = 4*z + 2*b, -18 = 3*z - g*b. Put j, z, -5 in increasing order. -5, z, j Let c = -2/165 - -509/1155. Let t = -0.2 + 0.7. Put c, t, -2/5 in increasing order. -2/5, c, t Suppose 1053*c = 1050*c - 12. Let x be -2 - (2 + 10/(-2)). Sort -3, c, 2, x in decreasing order. 2, x, -3, c Suppose 2*d - 313 = -901. Let v be (12/14)/(21/d). Sort v, -5, -1 in ascending order. v, -5, -1 Let w = 8 + -3. Let v = -8.56 - -8.5. Put w, -2/19, v in ascending order. -2/19, v, w Let x be (0 - (-2)/2)*(-2698 + 2699). Let v = 1 + -4. Put -1, x, -2, v in decreasing order. x, -1, -2, v Let y be 15/(-2)*(-12)/(-6). Suppose 4*i + 5*s + 9 = -0*s, 2*s = -2. Put y, 5, i, 2 in decreasing order. 5, 2, i, y Let s(p) = 2*p**2 - 25*p + 14. Let v be s(12)
{ "pile_set_name": "DM Mathematics" }
sequence dvy when three letters picked without replacement from vcchvcvdyvcccykcv? 1/408 Four letters picked without replacement from nnmpnepennnpwwddpdw. Give prob of sequence wwmw. 1/15504 Calculate prob of sequence mpp when three letters picked without replacement from {p: 8, m: 3}. 28/165 Calculate prob of sequence jlbr when four letters picked without replacement from lwnwrnjb. 1/1680 Three letters picked without replacement from bbebebbbebbbbe. Give prob of sequence eee. 1/91 Calculate prob of sequence zbm when three letters picked without replacement from {z: 5, b: 3, m: 2}. 1/24 What is prob of sequence qcq when three letters picked without replacement from cgccqqcqqqccqcc? 8/91 Two letters picked without replacement from khhiihwkhk. Give prob of sequence ki. 1/15 Four letters picked without replacement from {u: 13, p: 6}. What is prob of sequence uppu? 65/1292 What is prob of sequence rjr when three letters picked without replacement from {t: 1, g: 4, j: 1, r: 7}? 7/286 Calculate prob of sequence hvy when three letters picked without replacement from hhgvghyhhg. 1/144 Four letters picked without replacement from obboobbb. What is prob of sequence obbo? 1/14 Four letters picked without replacement from lvljz. What is prob of sequence ljzv? 1/60 Two letters picked without replacement from llklklkl. Give prob of sequence lk. 15/56 Four letters picked without replacement from {g: 4, c: 3, b: 3, m: 7, y: 3}. Give prob of sequence bbyy. 1/3230 Calculate prob of sequence zz when two letters picked without replacement from {j: 2, i: 10, z: 1, a: 1, c: 2}. 0 Three letters picked without replacement from {u: 7, c: 5, g: 3, o: 3, q: 1}. What is prob of sequence uog? 7/646 Calculate prob of sequence nten when four letters picked without replacement from {r: 2, e: 4, x: 2, t: 2, n: 4, s: 1}. 4/1365 Four letters picked without replacement from {k: 3, c: 4}. What is prob of sequence ckkk? 1/35 Calculate prob of sequence zddd when four letters picked without replacement from dmmuzmmmldmd. 1/1980 What is prob of sequence gvb when three letters picked without replacement from {z: 1, w: 1, t: 1, b: 1, v: 1, g: 2}? 1/105 Four letters picked without replacement from bbuyyyubyb. Give prob of sequence ubub. 1/210 Calculate prob of sequence aj when two letters picked without replacement from {v: 1, y: 1, a: 1, j: 6, h: 6}. 1/35 What is prob of sequence ch when two letters picked without replacement from {n: 1, h: 1, c: 9, w: 1}? 3/44 Three letters picked without replacement from {n: 5, u: 3}. What is prob of sequence nnn? 5/28 Two letters picked without replacement from {c: 2, j: 4, i: 2, x: 1, k: 4, o: 1}. What is prob of sequence ii? 1/91 Three letters picked without replacement from zzzfttzttzzzzz. What is prob of sequence tfz? 3/182 Two letters picked without replacement from yiiiiyyiiyyyi. Give prob of sequence yy. 5/26 Four letters picked without replacement from udududdd. Give prob of sequence duud. 1/14 Three letters picked without replacement from mxsfsxxskfffs. Give prob of sequence sxx. 2/143 Calculate prob of sequence py when two letters picked without replacement from {e: 2, q: 1, i: 1, p: 1, v: 1, y: 1}. 1/42 Two letters picked without replacement from {s: 3, r: 1, k: 1, p: 3, b: 3, t: 6}. Give prob of sequence ts. 9/136 Two letters picked without replacement from {f: 17, l: 1}. What is prob of sequence fl? 1/18 Calculate prob of sequence hwgy when four letters picked without replacement from {y: 4, h: 5, g: 2, w: 3, r: 5}. 5/3876 Two letters picked without replacement from {x: 7, z: 3, y: 2, c: 5, b: 1}. Give prob of sequence zc. 5/102 Two letters picked without replacement from tuus. What is prob of sequence ts? 1/12 Four letters picked without replacement from wywwvlwvwywyyw. Give prob of sequence wlyy. 1/286 What is prob of sequence ff when two letters picked without replacement from gaggfjgf? 1/28 Three letters picked without replacement from {v: 19, a: 1}. Give prob of sequence vvv. 17/20 Calculate prob of sequence jjq when three letters picked without replacement from jjjjqq. 1/5 Four letters picked without replacement from {c: 2, s: 2}. What is prob of sequence sccs? 1/6 Two letters picked without replacement from {c: 4, n: 4, o: 1, f: 1, s: 6}. What is prob of sequence ss? 1/8 Four letters picked without replacement from {n: 7, r: 7}. Give prob of sequence rnrr. 35/572 Two letters picked without replacement from {l: 1, b: 1, p: 1}. Give prob of sequence pl. 1/6 Calculate prob of sequence ii when two letters picked without replacement from {m: 2, i: 7}. 7/12 Calculate prob of sequence gggu when four letters picked without replacement from {r: 10, g: 4, u: 1, s: 3, w: 1}. 1/3876 Calculate prob of sequence kaoh when four letters picked without replacement from {c: 4, k: 3, a: 1, g: 1, h: 1, o: 2}. 1/1980 What is prob of sequence lql when three letters picked without replacement from qjllllljj? 5/126 Three letters picked without replacement from svzpsspszzjszzppzpp. Give prob of sequence psv. 5/969 Two letters picked without replacement from {c: 6, u: 6}. Give prob of sequence cu. 3/11 Calculate prob of sequence mb when two letters picked without replacement from bbmbbdmg. 1/7 Calculate prob of sequence eqq when three letters picked without replacement from {h: 1, q: 2, u: 6, e: 4}. 2/429 What is prob of sequence fctf when four letters picked without replacement from {c: 2, t: 5, f: 2}? 5/756 What is prob of sequence qqa when three letters picked without replacement from opouoquoopqodaquoo? 1/816 Two letters picked without replacement from {j: 1, m: 1, y: 1, f: 3, v: 6}. What is prob of sequence mf? 1/44 Three letters picked without replacement from {s: 3, z: 1, j: 1, q: 1, r: 1, e: 11}. Give prob of sequence qzr. 1/4896 Calculate prob of sequence xcn when three letters picked without replacement from {x: 1, n: 1, c: 1}. 1/6 Four letters picked without replacement from {j: 4, i: 1, l: 2}. Give prob of sequence ijjl. 1/35 Four letters picked without replacement from {k: 2, h: 1, y: 1, p: 1}. Give prob of sequence phyp. 0 What is prob of sequence pggg when four letters picked without replacement from pgpggpg? 3/35 What is prob of sequence eemm when four letters picked without replacement from {m: 4, e: 6}? 1/14 Calculate prob of sequence lu when two letters picked without replacement from {u: 7, z: 1, j: 2, l: 4}. 2/13 Three letters picked without replacement from vtvvtv. Give prob of sequence vvv. 1/5 Calculate prob of sequence gn when two letters picked without replacement from lggluglnng. 4/45 Four letters picked without replacement from hrzhrrrmmrr. Give prob of sequence rhrr. 1/33 What is prob of sequence bb when two letters picked without replacement from {u: 8, b: 2}? 1/45 What is prob of sequence hh when two letters picked without replacement from {h: 5}? 1 Calculate prob of sequence vvv when three letters picked without replacement from xvvxvvvvvx. 7/24 Three letters picked without replacement from {g: 1, w: 1, x: 1, j: 2}. Give prob of sequence jgw. 1/30 Three letters picked without replacement from {e: 2, h: 9}. What is prob of sequence ehe? 1/55 Calculate prob of sequence bs when two letters picked without replacement from sbfbssssscsf. 7/66 Four letters picked without replacement from {s: 6, r: 7, d: 6}. What is prob of sequence rrrd? 35/2584 What is prob of sequence qwt when three letters picked without replacement from qtwtq? 1/15 What is prob of sequence dd when two letters picked without replacement from {u: 1, f: 6, d: 7, o: 1}? 1/5 Two letters picked without replacement from {w: 3, z: 1, x: 1, s: 1, q: 1}. What is prob of sequence ws? 1/14 What is prob of sequence veve when four letters picked without replacement from {e: 7, v: 9}? 9/130 Four letters picked without replacement from fwffwfwkkuse. Give prob of sequence swuw. 1/1980 Three letters picked without replacement from {i: 3, k: 1, h: 3, c: 5}. What is prob of sequence ccc? 1/22 Two letters picked without replacement from {u: 2, e: 1, o: 1, f: 1, y: 1, i: 1}. What is prob of sequence ou? 1/21 What is prob of sequence qyby when four letters picked without replacement from iyqby? 1/60 Calculate prob of sequence gqq when three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
e Let r = 39783 + -18910. Is r prime? True Let i(r) = 77*r**2 + 18*r - 44. Is i(3) composite? True Let v = -507 - 28. Let t = -2368 + 1384. Let x = v - t. Is x composite? False Suppose x = 4*q - 11527, 47*x = 42*x - 15. Is q a prime number? False Let i be (-50)/(-15)*(-12)/(-5). Suppose -2*c = -0*c + 118. Let v = i - c. Is v a composite number? False Let v be (-3)/(1 - -2) - (1 + 2). Is 1361*(5 - (v + (-8)/(-1))) composite? False Suppose 38870 = 3*g - z, 25920 = -15*g + 17*g - 2*z. Is g a composite number? True Let p(r) = 42*r - 5. Let i(y) be the third derivative of y**5/60 - y**4/12 + y**3/6 - 4*y**2. Let o be i(3). Is p(o) prime? True Suppose 0 = -5*q + 35 - 5. Let s be (-4)/q*(-9 + 3). Suppose 3*o + s*l = -35 + 292, -o + l + 74 = 0. Is o a composite number? False Let x = 121173 - 75826. Is x a composite number? True Let n = 50 - 305. Let i be (-89)/(-7*6/(-84)). Let s = i - n. Is s a prime number? False Let w be (-3514)/(-26) + (-10)/65. Is 1/(15/2) - (-261477)/w a prime number? False Let p(s) = -7 - 7*s + 6 - 7 - 1 + 18*s**2. Is p(-4) a composite number? False Let h = -2664 - -1586. Let m be 519/((2/6)/(-1)). Let o = h - m. Is o prime? True Let t(n) = 18*n + 1. Let m = -6 + 5. Let x be t(m). Let u = 24 + x. Is u a prime number? True Let k(c) = 82*c**3 + 7*c**2 - 35*c + 9. Is k(5) composite? False Suppose -6 = -x - 1. Suppose -4 = x*i - 14. Suppose 0 = i*r - 0*r + 2, -5*f + 1854 = r. Is f a prime number? False Let p be (-4)/(16/(-4)) - -1 - 399. Let q = p - -1106. Is q a composite number? False Suppose -m - 47132 = -5*m. Is m a composite number? False Let j = 4704 - -4723. Is j prime? False Suppose 0 = -6*m - 0*m + 3834. Let h = 2588 + m. Is h prime? False Suppose 9707 = -6*j + 8*j + 3*a, 0 = -j - 4*a + 4841. Is j a composite number? False Let d(b) = 3*b**2 - 4*b - 3. Let n be d(-1). Let q = n + 447. Is q composite? True Let z be ((-132)/(-9))/(4/6). Suppose -2 + z = 5*a. Let u = 83 - a. Is u a prime number? True Let a be -3*1 + (-3)/(15/(-35)). Suppose 5*c = a*o - 4104, 0 = 3*o + c - 3*c - 3085. Is o composite? False Suppose -9*x = -11 - 25. Let a(k) = 63*k**2 + 2*k - 7. Let d(c) = c**2 - c + 1. Let p(t) = a(t) + 4*d(t). Is p(x) composite? False Let i be 1/(-2) + 617275/(-10). Let w be i/42 - 2/7. Let b = -979 - w. Is b prime? True Let b = 0 + 4. Let p be 0*(-1)/b*-2. Suppose -4*v + 223 + 85 = p. Is v a composite number? True Let b(m) = -32*m - 21. Let h = -26 - -11. Let p be b(h). Suppose 0*q = 5*q - 20, -5*d + 4*q = -p. Is d composite? True Let d(l) = 3*l**3 + 3 + 0*l**3 + 0*l**3 + 8*l - 2*l**3 + 9*l**2. Let x be d(-8). Suppose -p = -4*n - 115, -x*n = -2 - 1. Is p prime? False Let c(a) = -1183*a + 17. Is c(-3) a prime number? False Let j(v) = 20*v**2 - v - 1. Let t(b) = -b + 2. Let g be t(4). Let k be j(g). Let p = 6 + k. Is p prime? False Let r = -9 + 11. Suppose -g = -2*v + r*g + 2789, -4*g = -5*v + 6983. Is v composite? False Suppose 5*n = 3*y - 11, y - n + 2 = -5*n. Is ((0 + -1)/y)/(14/(-94388)) prime? True Let i be 6 + -8 - (-16 - 0). Suppose -9*c - 1465 = -i*c. Is c a prime number? True Let m = -20 + 23. Suppose -m*y = 1530 - 14115. Is y a prime number? False Suppose -y + 2*q + 4315 = -0*y, 21519 = 5*y + 4*q. Is y composite? True Let v = 328 + -217. Is v a prime number? False Let p(z) be the first derivative of -z**4/4 + z**3/3 - 4*z**2 - 3*z - 5. Let c be p(-7). Suppose -6*n + n + c = 0. Is n composite? False Suppose 19 = t + 20, -5*t = 5*k - 5130. Is k prime? False Let h(f) = -f**2 + 10*f + 13. Let l = -20 + 31. Let b be h(l). Suppose -b*m + 614 = -0*m. Is m a prime number? True Let r(x) be the first derivative of x**6/120 - x**5/10 + x**4/3 - x**3/3 - 3*x**2/2 - 10. Let n(u) be the second derivative of r(u). Is n(7) prime? True Suppose 0 = 2*t - 56 + 20. Suppose -11*w - 1421 = -t*w. Is w prime? False Let y(g) = -2*g + 6. Let s be y(4). Is (230/(-3))/(s/3) prime? False Suppose -4*q = -5 + 17. Let t be 748/(-3) + q/(-9). Let f = t - -382. Is f composite? True Let h = -34 - -62. Let l = -19 + h. Let n(t) = 2*t - 7. Is n(l) a prime number? True Suppose 0 = -5*i - 2*q + 7, -2*i - 4*q = -5*q - 10. Suppose -i*j - 21 = -a + 36, 0 = -5*a - j + 365. Let u = a + -35. Is u a composite number? False Suppose 5*d - d = 16. Suppose d*t - 722 + 214 = 0. Is t prime? True Suppose -w + u = -u - 2865, -8590 = -3*w + u. Is w prime? False Suppose -16*n + 109346 = -92622. Is n prime? False Let j = -10691 + 15312. Is j composite? False Let u(g) = -9*g**3 - 2*g**2 + 2*g - 4. Let n = -3 + -1. Let d be u(n). Let b = d - 345. Is b a prime number? False Let q be 1592/((-8)/2)*(-6)/4. Is -3 + 5 + q/(-1)*-1 prime? True Let r(b) = 413*b**2 - 5*b - 9. Is r(-4) composite? False Is (-102)/408 - 183269/(-4) a prime number? True Suppose -5*g = -2*q + 6916, -22*g + 13856 = 4*q - 20*g. Is q prime? True Is ((-58983)/(24/8))/(-1) a prime number? True Let d be (-84)/(-2)*-4*10/(-15). Suppose -3*b = 4*j - 311, -4*j - 4*b = -428 + d. Is j prime? False Let s = 126 + -65. Suppose -112 = -2*v + 4*y, -v + 0*y = -y - s. Suppose 169 = 5*u - v. Is u a prime number? True Suppose -4*w - 14 = -2*o - 2*w, 0 = 2*w - 10. Suppose 0 = 4*z - 4. Suppose k - o = -z. Is k composite? False Suppose -s + 0*s = -13. Suppose 84*h = 83*h. Suppose h = 8*f - s*f + 310. Is f composite? True Let i(p) = p**2 + 2*p - 3. Let t be i(3). Let n be (t - (-2)/(-2)) + 0. Let a = n + 23. Is a a prime number? False Let o be 2 - (-7)/(21/6). Let r = -70 + 342. Suppose -o*a = -x - 3*x - r, 4*a + 2*x = 254. Is a a composite number? True Let p be -4 + (-4 - (-2 - 1)). Let u be (-3 - p) + -2 - 3. Let y(o) = -3*o**3 - o**2 + 2*o + 1. Is y(u) a composite number? False Suppose -d - 4*d = -4*j, 36 = 4*d + 4*j. Let m(i) be the second derivative of i**4/4 + 5*i**3/6 - 3*i**2/2 - i. Is m(d) a composite number? True Let j = -803 + 567. Is 1 - j*(1 + (-3)/6) a composite number? True Let g be 10/20 + 62/(-4). Let d = g + 21. Suppose -49 = -5*c + d. Is c prime? True Let j = -7 - -7. Suppose j = q - 3*i + 4*i - 49, -3*q + 129 = -3*i. Is q composite? True Let x = -701 + 1099. Is x composite? True Is ((-32349)/18)/(42/(-252)) a prime number? False Let n(y) = 203*y**3 + 8*y**2 + y - 6. Let b be n(13). Is (-2)/18 - b/(-207) a prime number? True Suppose 0 = 5*h + 21 - 1, 2*h + 11076 = 4*c. Is c a composite number? False Suppose 0*t = 2*t + j - 5008, -10028 = -4*t + 4*j. Suppose -5*r + 3*a = 8*a - t, -4*a + 1012 = 2*r. Suppose -2*h + w = -250, -2*h - 2*h + r = -3*w. Is h prime? True Let t(x) = 21*x**2 + 8*x - 10. Let d be t(7). Let p be (1*2)/((-10)/d). Is (1 + -4)/3*p composite? True Let o(v) = -3*v - 25. Let s(y) = 9*y + 2. Let c(n) = -5*n - 1. Let w(u) = 11*c(u) + 6*s(u). Let q(z) = -o(z) + 2*w(z). Is q(-13) composite? True Suppose 13311 - 100908 = -9*c. Is c a composite number? False Is ((-29994)/4)/(-1) + (-62)/(-124) composite? False Let z be 15*31*(-1)/(-3). Suppose -2*w = -w - z. Suppose -4*y - 5*f = -w, -2*y + 2*f - 48 = -112. Is y a prime number? False Let b(j) = -52*j**2 + 19*j - 20. Let x be b(7). Is x/4*2*(-160)/200 a composite number? True Let h be (-4)/(-6)*(7 + -10). Is (-14660)/8*h/1 composite? True Suppose -u - 2*w - 2*w + 337 = 0, 0 = 4*u + 5*w - 1403. Let f = u - -494. Is f composite? True Suppose -4*a + a = 18. Let k(f) = -4*f**2 - 17*f - 2. Let y(q) = 7*q**2 + 36*q + 5. Let l(w) = -7*k(w) - 3*y(w). Is l(a) prime? False Suppose l - 2*u - 889 = -0*l, 5*l + 4*u - 4375 = 0. Let f = 1844 - l. Is f prime? False Let a(x) = 5*x**2 + 4*x - 7. Is a(-10) a prime number? False Suppose 13*i = 17*i + 8. Is (-4)/i - (3 - 54) prime? True Suppose -69158 = -4*j - b + 6*b, 0 = 3*j + 2*b - 51857. Is j a prime number? False Let y be (-18)/(-8) - (-2)/(-8). Suppose -y*t = 3*t. Suppose x + 3 - 24 = t. Is x prime? False Let c(b) = 95*b**2 + 22*b - 4. Is c(-9) a prime number? False Let h be (48/15)/((-1)/(-5)). Let c be 3*682 - h/8. Suppose -4*r - z = -c, -3*r - 5*z + 1825 = 292. Is r prime? False Let w(d) = 2*d - 16. Let i be w(8). Suppose i = -2*n - 4*n + 1770. Is ((-12)/30)/((-1)/n) a prime number? False Suppose -5*s + 9 = -3*m, m - 5*s = 2*m + 3. Is 6 + 147 + m + -1 a prime number? True Suppose -689823 = -25*u - 205498. Is u prime? True Let t(v) = 2*v - 1. Let j be t(3). Suppose 4*p = 2*y - 0*y - 8, 6 = -3*p + j*y. Is p*22/(-8)
{ "pile_set_name": "DM Mathematics" }