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(-8/13) Simplify b**(-22/5)*b**(-2/71)/b*(b*b/(b*b/((b/(b*(((b**27*b)/b)/b*b)/b))/b)*b)*b*b)/(b/(b/b**14*b*b)) assuming b is positive. b**(-15417/355) Simplify (s**(-9)/(s/(s**(2/17)/s*s)))/(s*s*s**(-1/16)/s*s)**(2/15) assuming s is positive. s**(-20687/2040) Simplify (((v**(-8)*v)/v)/(v*v**(-3/5)/v))/(v**13*v/((v/(v/v**(-6)))/v)) assuming v is positive. v**(-142/5) Simplify (k**(2/55)/(k*k*k*k**20*k))/(k**(1/5)/k*k*k*k*k/k**(-16)) assuming k is positive. k**(-2374/55) Simplify (q/q**(-32)*q**27)**(-43) assuming q is positive. q**(-2580) Simplify (q*q**(-3)/q*q)**(-12)/(q/q**12)**(-48) assuming q is positive. q**(-504) Simplify (q**16*q**(-1/19))/((q**(3/4)/q*q)/q**17) assuming q is positive. q**(2447/76) Simplify (b**(-14))**(-1/74)*b**18/(b**(2/11)*b) assuming b is positive. b**(6922/407) Simplify (d/(d*d/(d*(d*d**10)/d)*d)*d**(1/2))/(d**(-8)*d**13*d*d) assuming d is positive. d**(5/2) Simplify b*(b/(b/b**10))/b*b**1*(b/(b/(b/(b*(b/b**(-6))/b)*b*b*b)))/b*b/(b*b/(b**1*b))*b assuming b is positive. b**9 Simplify j**(1/22)*j*j**(-3/13)*(j**(-2))**(-2/93) assuming j is positive. j**(22813/26598) Simplify ((s/(s**(-3/10)*s))**24)**(1/4) assuming s is positive. s**(9/5) Simplify (s**(-11)/s*s/(s**6*s))/((s/s**(-2))/s)**6 assuming s is positive. s**(-30) Simplify (m*m**4*(m/m**(2/13))/m)/(m**(-1/12)/m*m**(-14)) assuming m is positive. m**(3109/156) Simplify ((t*t*t**(-7/3))/(t**(-4/19)*t))**(-23) assuming t is positive. t**(1472/57) Simplify ((c/(c*c**(5/2)/c*c)*c**4)/(((c**11/c)/c)/c**(6/11)))**39 assuming c is positive. c**(-5967/22) Simplify ((x*x/(x/x**(-19))*x**8)**(-19))**(-46) assuming x is positive. x**(-8740) Simplify ((a*a**(-1)*a)**(-5/11)*(a/((a*((a**1/a)/a)/a)/a))**(10/11))**18 assuming a is positive. a**(450/11) Simplify ((h/(h/(h*h**(-12)*h)))/h**7*((h/(h*h*h**(-3)))/h)**(-8/15))**(-10) assuming h is positive. h**(526/3) Simplify ((((k**1*k)/k)/k)/k)**25*(k**(11/3)*k)/(k/k**22) assuming k is positive. k**(2/3) Simplify ((n*n*(n/(n*n**(3/5)))/n)/n**1)/(n*n**7*n**(-2/11)*n) assuming n is positive. n**(-518/55) Simplify ((d/(d**(-10/9)*d*d*d))/d**6)/((d/(d/(d/(d/d**(-2/11)*d)*d*d)*d*d)*d)/d**2) assuming d is positive. d**(-466/99) Simplify (z/((z**15/z)/z))/z*z*z**(-11)*z*(z*z**(2/15)*z)**42 assuming z is positive. z**(338/5) Simplify (o**1*o**(-25))/(o/(o/(o**14/o))*o*o**(-19/3)) assuming o is positive. o**(-95/3) Simplify (z**(-1/20)/z**(-21))/((z/z**(-3))/z*(z*z**(-3/4))/z) assuming z is positive. z**(187/10) Simplify ((o**(1/3)*o*o**2)**6)**(-45) assuming o is positive. o**(-900) Simplify (w**2/w**(-3/7)*w**(3/5)*w*w**(-1/4))**(-25) assuming w is positive. w**(-2645/28) Simplify (x*x**(2/27)*x**6)/((x*x**(-4/9))/(x**4/x)) assuming x is positive. x**(257/27) Simplify x**(-9/7)/x*x*x/(x**(-12)/x)*((x*(x*x**(5/8)*x)/x)/x)/x*x**(-9/5) assuming x is positive. x**(3231/280) Simplify (s*s**5)**(1/66)/((s/s**(-23))/s**17) assuming s is positive. s**(-76/11) Simplify (s**0)**(-1/5)/((s**(-13)/s)/s**(19/5)) assuming s is positive. s**(89/5) Simplify (m*(m*m*m/m**(-2/3))/m*m**(-20)*m)/((m/(m*m**(-10)/m*m))/m**(-5)) assuming m is positive. m**(-91/3) Simplify (g**1/g*g*g**(1/7))/(g**11*g*(g/(g/((g/g**(-6/5))/g)))/g*g) assuming g is positive. g**(-422/35) Simplify (q*q**8)**(-44)/(q/(q**(-7)*q))**(7/3) assuming q is positive. q**(-1237/3) Simplify (x*x/(x/(x**(8/7)*x)))/((x/(x*x/x**13))/x)*(x**(-3/5))**(1/54) assuming x is positive. x**(-4957/630) Simplify ((l/(l/l**8))**(-1/5))**(-6/7) assuming l is positive. l**(48/35) Simplify (l/(l**(-3/7)/l))**(10/7)/((l*l**(-9)*l)/l**10) assuming l is positive. l**(1003/49) Simplify (((b/b**(-4/7))**26)**(-46))**(-3/13) assuming b is positive. b**(3036/7) Simplify (l*l*l*l/(l**(-4/7)*l))**(7/5)/(l**(-10)/(l*l*l**(-12)*l)) assuming l is positive. l**6 Simplify (((l**(-15)*l)/l*l)/l)**(1/4)*((l**(-3/8)/l)/l)/(l**(2/13)/l) assuming l is positive. l**(-549/104) Simplify g**11/(g*g**(-9))*(g**(2/5))**(2/9) assuming g is positive. g**(859/45) Simplify (l*l/((l*l/l**(-3))/l))**(-5/11)/(l*l**(7/6)*l*l*l**(-1/11)) assuming l is positive. l**(-19/6) Simplify (f/f**(-12))**(-8/5)/(f*f**(-8/5)*f*f**(-6)) assuming f is positive. f**(-76/5) Simplify (z**(-12)/(z/z**(-17)))/(z**(-6)/z)**(3/8) assuming z is positive. z**(-219/8) Simplify (r**(-1/5)*r)**(-44)/(r*r**(-3/5))**(-2/97) assuming r is positive. r**(-17068/485) Simplify (b**(-4/7)*b**(-2/19)/b*b)/(b**(2/3)/(b*b**(26/9))) assuming b is positive. b**(3047/1197) Simplify v/v**(10/7)*v**6*(v**(-5/3)*v)**31 assuming v is positive. v**(-317/21) Simplify x*x**(2/11)/x*x*x**(-28)*((x/((x*x**(9/5)*x)/x))/x*x)**(-1/2) assuming x is positive. x**(-2851/110) Simplify (d*d**(2/5)*d**(4/7)*d)/(d/(d**(-3)/d))**(-13) assuming d is positive. d**(2379/35) Simplify s**2*s*(s/s**(-14))/s*s*s**(-1/6)*s**(-1/13) assuming s is positive. s**(1385/78) Simplify (a**(1/9)*a**(1/2)*a**(4/7)/(a**(-3/4)*a))**(-1) assuming a is positive. a**(-235/252) Simplify (b*b/(b*b**(1/8)))/(b/b**(-1))*(b**(-2))**(2/17) assuming b is positive. b**(-185/136) Simplify (i**3/i**(-3/8))/(i**(-13)/i**(-3/5)) assuming i is positive. i**(631/40) Simplify (s*((s**5/s)/s)/s*s**(-10/9))**(1/4) assuming s is positive. s**(17/36) Simplify ((t*t**(-1/30))/(t/(t*(t/(t**20/t))/t)))**(5/12) assuming t is positive. t**(-541/72) Simplify (x**(2/25)/x)**(-43)/((x/(x/(x/x**(-19))))/(x*x**(3/19))) assuming x is positive. x**(9841/475) Simplify z/((z**9/z)/z*z)*z*(z/z**32)/z*z**22*(z**(-2/19)*z)/z assuming z is positive. z**(-306/19) Simplify (d*(d*d**(-6/5))/d)/(d/(d**(-8)*d)*d)*(((d/(d**12/d))/d)/d)/(d*d/((d**(-6/13)/d*d)/d)) assuming d is positive. d**(-1603/65) Simplify (f/f**(1/5)*f)**(-2/55)/(f/f**(-7/2)*f)**27 assuming f is positive. f**(-81711/550) Simplify (((y/(y*y**15*y*y)*y)/y)/(y*y/(y*y**24)))/(y**(1/22)/y**(1/27)) assuming y is positive. y**(3559/594) Simplify (r**2/(r**(-3/5)/r))/((r/(r*r**(2/9))*r)/r**10) assuming r is positive. r**(577/45) Simplify (k**(-25)/k)/k**(-22/9)*(k/(k**(1/7)*k))/k**(2/65) assuming k is positive. k**(-97171/4095) Simplify ((o*(o*o/o**(1/4))/o*o*o**(-7))/(o**(-7)/o**(-4/3)))**(-34) assuming o is positive. o**(-289/6) Simplify ((y*y*y**7)/y**(-22))**(3/5) assuming y is positive. y**(93/5) Simplify (m/(m/m**(2/3)))**(-27)/((m/(m*m**1/m)*m*m)/m)**3 assuming m is positive. m**(-21) Simplify (z**9/(z/z**(-1/14)))/(z**27/z**(1/6)) assuming z is positive. z**(-397/21) Simplify ((j**0*j)**(-48)*(j*j**(-1))**(-2))**(-1/16) assuming j is positive. j**3 Simplify r**(1/11)*r**(2/49)*r*(r**(-7/5))**(-1) assuming r is positive. r**(6823/2695) Simplify (v*v*v**(-1/6)/v)/v**0*(v**0)**(25/3) assuming v is positive. v**(5/6) Simplify (l**0/l)/(l**(1/4)/l*l)*l**(-19)*l**(-3/13)*l assuming l is positive. l**(-1013/52) Simplify ((o*o/o**4)/o*o**(-2)*(o/o**(-1))**22)**7 assuming o is positive. o**273 Simplify o**28*o*o*(o*o**(1/10)*o)/o*o**(-3/7)/(o/(o*o**(-31))) assuming o is positive. o**(-23/70) Simplify (b**(-7))**(-1/29)/(b**10/b**(-1/20)) assuming b is positive. b**(-5689/580) Simplify ((g*g**1)**(-23)*(g/((g*g*g**(-1/2))/g))/g**4)**(7/4) assuming g is positive. g**(-693/8) Simplify (n/(n/(n/(n/(n*n**(1/6)))))*n)/n*n/(n/(n**(1/5)*n))*n**(-2/23)/(n/(n**(-2/9)/n)) assuming n is positive. n**(119/2070) Simplify (o**(-2/11)*o*(o/o**(1/4))/o)/(o**(-11)/(o/(o/o**(1/3)))) assuming o is positive. o**(1571/132) Simplify (z**(2/39)*(z/((((z**(-39)/z)/z)/z)/z*z)*z)/z)**(1/55) assuming z is positive. z**(1679/2145) Simplify (b/b**13)/b**(-2/57)*(b/(b*b**(-2/33)))**18 assuming b is positive. b**(-6818/627) Simplify y**(-10)/((y**0*y*y)/y)*y**(-8)*y/y**(3/8) assuming y is positive. y**(-147/8) Simplify (m**25*m*m/(m/(m**(1/25)*m))*m)/(m**(-12))**(-2/17) assuming m is positive. m**(11317/425) Simplify (p**(-10/11)*p**(-4/11)/p*p)**(1/2) assuming p is positive. p**(-7/11) Simplify (((d/(d/d**(-22)))/d)/d**(-3/10))/(d*d**(-27)/d*d*d**(-11)/d) assuming d is positive. d**(153/10) Simplify d**2*d*(d/((d/d**(-2/13))/d)*d)/d*d*d*d*d*d/(d**(-12)/d)*d/d**(-7)*d assuming d is positive. d**(401/13) Simplify (c*c**(1/5)*c*c)**18/(c**(1/12)/((c*c/c**1*c)/c*c)) assuming c is positive. c**(3571/60) Simplify (d**3)**(-3)/(d**(1/7)/(d*d/(((d**6/d*d)/d)/d*d)*d)) assuming d is positive. d**(-78/7) Simplify (b**(-2)/((b**(1/6)/b)/
{ "pile_set_name": "DM Mathematics" }
et v(l) = l**3 - 29*l**2 - 28*l - 95. Calculate v(30). -35 Let a(c) = -41*c + 478. What is a(0)? 478 Let z(u) = 2*u**3 + 22*u**2 + 9*u - 9. What is z(-9)? 234 Let w(m) = -108*m - 129. Determine w(-5). 411 Let v(t) = -9*t**2 + 215*t - 89. Determine v(23). 95 Let v(g) = 51*g**2 - 1933*g - 189. Calculate v(38). 1 Let d(o) = -18*o + 564. Determine d(30). 24 Let x(y) = y**3 + 10*y**2 + 12*y + 62. Determine x(-9). 35 Let p(s) = -769*s - 243777. Calculate p(-317). -4 Let o(z) = 5*z**3 + 6*z**2 - 12*z + 17. Calculate o(4). 385 Let k(b) = -3*b**2 - 7098*b + 35568. Determine k(5). 3 Let x(a) = 404*a**3 + a**2 - 3*a + 1. Calculate x(1). 403 Let x(a) = -2*a**3 - 32*a**2 - 36*a - 79. What is x(-15)? 11 Let l(y) = -3*y**2 - 24*y + 35. Determine l(-11). -64 Let t(a) = -6*a**3 + 2*a + 23. Calculate t(-3). 179 Let i(r) = r**3 + 4*r**2 + 21*r + 39. Determine i(-4). -45 Let a(o) = o**3 + 13*o**2 + 36*o + 3. Calculate a(-4). 3 Let d(f) = -f**2 + 7*f - 31. Calculate d(4). -19 Let p(o) = o**3 - 12*o**2 - 35*o - 118. Calculate p(15). 32 Let c(f) = -9*f - 291. What is c(-39)? 60 Let d(p) = -15*p + 122. Give d(9). -13 Let b(i) = -i**3 + 24*i**2 - 183*i + 439. Determine b(10). 9 Let s(x) = 22*x**2 + 5*x + 9. What is s(-3)? 192 Let d(v) = -2*v**2 - 28*v + 82. Give d(3). -20 Let l(f) = f**2 + 26*f - 664. Give l(17). 67 Let m(b) = 56*b - 162. Calculate m(2). -50 Let i(z) = z**3 + 33*z**2 + z + 42. Give i(-33). 9 Let d(o) = 916*o + 6415. Give d(-7). 3 Let n(f) = -2*f**2 + 39*f - 165. Give n(5). -20 Let l(o) = -3*o**2 - 77*o - 31. Determine l(-25). 19 Let c(v) = 4*v + 44. What is c(-13)? -8 Let v(w) = w**2 - 38*w + 112. Determine v(47). 535 Let x(y) = -21*y + 851. What is x(31)? 200 Let r(l) = 2*l**2 + 64*l - 71. Give r(-34). 65 Let y(w) = 34*w**2 - 251*w + 126. Calculate y(7). 35 Let i(g) = -g**3 - 19*g**2 - 18*g - 69. Determine i(-18). -69 Let x(p) = 14*p + 207. Give x(-24). -129 Let j(n) = -3*n**3 - 45*n**2 - n + 45. Give j(-14). -529 Let x(n) = -32*n + 3028. Give x(95). -12 Let x(t) = 2*t**3 - 4*t**2 - 19*t - 41. Calculate x(5). 14 Let c(q) = -2*q**2 + 89*q - 434. Give c(5). -39 Let w(v) = -229*v**2 - 1144*v + 9. Calculate w(-5). 4 Let z(t) = -t**3 - 10*t**2 + 83*t + 718. What is z(-12)? 10 Let y(s) = -3*s**2 + 97*s + 160. Give y(31). 284 Let a(i) = 131*i + 175. Determine a(0). 175 Let t(m) = -m**3 - 29*m**2 + 42*m - 60. Give t(-31). 560 Let q(t) = -634*t + 4439. Give q(7). 1 Let y(o) = 5*o**3 - 85*o**2 + 8*o - 127. What is y(17)? 9 Let b(m) = 3*m**2 - 1544*m + 19564. What is b(13)? -1 Let y(u) = u**3 + 49*u**2 - 3*u - 4. Determine y(-49). 143 Let d(w) = -w**2 - 338*w + 3063. What is d(9)? -60 Let f(h) = -147*h + 4724. Calculate f(32). 20 Let t(a) = a**3 + 30*a**2 - 6*a - 130. Determine t(-30). 50 Let n(x) = -69*x + 4067. Calculate n(59). -4 Let y(l) = -91*l - 3942. Calculate y(-43). -29 Let n(v) = 454*v - 1360. Determine n(3). 2 Let d(u) = -5*u**2 + 88*u - 468. Calculate d(19). -601 Let k(j) = 42*j + 1244. Determine k(-30). -16 Let s(p) = -p**2 + 96*p - 656. Calculate s(8). 48 Let r(d) = 5*d**3 + 281*d**2 - 199*d + 1645. What is r(-57)? -8 Let y(g) = 2*g**2 - 407*g + 2366. Determine y(6). -4 Let n(y) = 2*y**2 - 24*y + 8. What is n(-7)? 274 Let s(k) = -136*k + 1471. Calculate s(11). -25 Let q(o) = -3*o**3 - 16*o**2 + 5*o + 28. Give q(-6). 70 Let r(n) = -3*n**2 + 367*n - 1185. Determine r(119). 5 Let g(r) = 3*r**3 - 20*r**2 - 31*r + 172. Give g(7). 4 Let c(p) = -577*p**2 + 42*p - 42. Determine c(1). -577 Let b(p) = 13157*p - 144727. Determine b(11). 0 Let f(w) = 8*w - 174. Determine f(26). 34 Let u(r) = 6*r**2 - 108*r + 84. Calculate u(17). -18 Let c(l) = l**3 + 10*l**2 - 59*l - 577. Calculate c(-10). 13 Let g(u) = -32*u - 744. Determine g(-24). 24 Let s(c) = -c**3 - 103*c**2 - 2343*c + 200. Give s(-69). -7 Let h(u) = -u**2 + 59*u - 390. Calculate h(52). -26 Let u(x) = 9*x**2 + 349*x - 75. What is u(-39)? 3 Let l(v) = -2*v**3 - 37*v**2 + 9*v - 5. Give l(-19). 185 Let x(f) = -193*f + 4052. What is x(21)? -1 Let r(d) = 3*d**3 - 76*d**2 + 30*d + 22. Calculate r(25). 147 Let u(v) = 3*v - 68. Determine u(22). -2 Let s(l) = -l**3 - l**2 + 4*l - 9. Determine s(-5). 71 Let q(a) = 44*a**3 + 3*a**2 + 31*a + 29. Determine q(-1). -43 Let b(y) = 150*y + 561. Determine b(-3). 111 Let w(l) = 2*l + 138. Give w(-31). 76 Let x(i) = 39*i - 37. Calculate x(-5). -232 Let l(g) = -2*g**2 - 8*g + 42. Calculate l(0). 42 Let t(m) = m**3 + 5*m**2 + 46*m + 695. Calculate t(-9). -43 Let g(i) = i**2 - 52*i + 251. Give g(7). -64 Let w(g) = 2*g**3 + 24*g**2 - 147*g - 361. Determine w(-16). -57 Let j(s) = s**3 - 3*s**2 + 2*s + 25. Calculate j(4). 49 Let a(b) = b**3 - 30*b**2 + 23*b + 117. Determine a(29). -57 Let m(l) = 2*l**3 - 62*l**2 + 36*l - 1103. Determine m(31). 13 Let j(m) = 13*m + 651. Give j(-52). -25 Let k(p) = -p**3 + 7*p**2 - 18*p + 177. Give k(11). -505 Let c(b) = -b**3 + 145*b**2 + 149*b - 404. Calculate c(146). 34 Let o(r) = r**2 - 35*r + 151. What is o(28)? -45 Let s(b) = b**3 - 6*b**2 - 1154*b + 258. Determine s(37). -1 Let n(v) = -12*v**2 - 62*v - 4. Give n(-5). 6 Let o(p) = -4*p + 36. Determine o(25). -64 Let n(l) = l**3 - 15*l**2 + 18*l. Give n(7). -266 Let v(t) = -t**2 + 79*t + 9153. Determine v(143). 1 Let p(k) = 99*k + 1387. Give p(-14). 1 Let c(y) = -y**2 - 2*y + 39. What is c(10)? -81 Let i(m) = -54*m**2 + 72*m + 77. Calculate i(-1). -49 Let x(g) = 142*g + 11369. What is x(-80)? 9 Let u(h) = h**3 + 1189*h**2 + 7096*h - 14. Calculate u(-6). -2 Let u(c) = c**3 - 10*c**2 - 7*c - 51. Determine u(0). -51 Let l(w) = -5*w**2 - 179*w + 178. Determine l(1). -6 Let z(m) = -3304*m - 118940. Give z(-36). 4 Let x(m) = 166*m - 1011. Give x(8). 317 Let g(p) = 6*p**2 - 6935. Determine g(-34). 1 Let x(r) = 2788*r - 142185. Calculate x(51). 3 Let w(m) = -249*m + 520. Give w(2). 22 Let n(l) = 2*l**2 + 62*l - 813. Calculate n(9). -93 Let r(j) = j**2 + 37*j + 2. Calculate r(0). 2 Let y(p) = p**3 + 163*p**2 - 2*p - 256. Calculate y(-163). 70 Let j(r) = 8*r**2 + 89*r - 796. Give j(-17). 3 Let w(f) = -244*f + 737. What is w(3)? 5 Let y(o) = 3*o**2 + 116*o - 280. Calculate y(3). 95 Let p(q) = -4*q**2 - 217*q - 28. Determine p(-54). 26 Let b(v) = 16*v + 559. Give b(-26). 143 Let j(f) = -959*f + 6718. Calculate j(7). 5 Let b(k) = -30*k**2 + 1886*k + 258. What is b(63)? 6 Let t(i) = -26*i - 440. Calculate t(-22). 132 Let a(q) = q**3 - 6*q**2 - 13*q + 102. Give a(5). 12 Let x(c) = 23*c + 507. What is x(-19)? 70 Let p(q) = 8*q**2 + 21*q - 3. Determine p(-3). 6 Let r(u) = 6*u - 45. Calculate r(6). -9 Let z(l) = 106*l - 1001. What is z(10)? 59 Let t(w) = 369*w - 105164. Determine t(285). 1 Let z(w) = -9*w - 87. Give z(-2). -69 Let p(o) = -o**3 - 46*o**2 + 58*o + 63. Give p(-47). -454 Let q(y) = -y**2 + 133*y - 632. Calculate q(5). 8 Let r(q) = -q**3 + 39*q**2 - 249*q - 2. What is r(8)? -10 Let z(u) = -185*u - 1306. Give z(-6). -196 Let a(w) = -153*w - 9118. Calculate a(-61). 215 Let x(d) = 83*d + 1328. Give x(-10). 498 Let a(w) = 12*w**2 + 9*w + 37. What is a(0)? 37 Let p(o) = -19*o - 912. Give p(-19). -551 Let d(z) = 18*z**2 - 1262*z + 129. Calculate d(70). -11 Let j(b) = -1163*b - 89560. Determine j(-77). -9 Let a(i) = -i**3 - 24*i**2 + 105*i - 36. Determine a(-28). 160 Let l(t) = t**2 + 47*t + 143. Determine l(-3). 11 Let j(t) = -136*t - 41073. Give j(-302). -1 Let y(t) = -120*t - 3383. Give y(-28). -23 Let t(n) = 18*n**2 - 5*n + 13. Determine t(4). 281 Let g(u) = -3*u + 102. Calculate g(14). 60 Let a(p) = p**3 - 14*p**2 - 290*p + 3281. Determine a(10). -19 Let g(z) = -3*z - 66. Calculate g(-6). -48 Let y(h) = -2*h**3 - 158*h**2 + 4*h + 278. Determine y(-79). -38 Let l(a) = -11*a + 23. What is l(2)? 1 Let v(c) = 5*c**2 + 11*c + 17. Calculate v(6). 263 Let z(o) = 107*o + 2264. Calculate z(-21). 17 Let f(n) = -n**2 + 320*n - 12143. What is f(44)? 1 Let o(r) = 5*r + 141. Give o(-28). 1 Let k(p) = 634*p**2 - 6*p - 5. Give k(-1). 635 Let z(l) = 34*l**2 - 442*l - 25. What is z(13)? -25 Let z(h) = 8*h**2 + 7*h + 87. What is z(-7)? 430 Let w(n) = -820*n - 3321. Determine w(-4). -41 Let b(n) = 31*n + 866. Give b(-28). -2 Let a(s) = 241*s + 3395. Determine a(-14). 21 Let g(w) = -10*w - 115. Calculate g(0). -115 Let t(i) = -601*i - 6006. What is t(-10)? 4 Let h(b) = -120*b - 4607. Calculate h(-38). -47 Let f(c) =
{ "pile_set_name": "DM Mathematics" }
1/5 Evaluate ((-2)/(-5))/(30/50*2). 1/3 What is the value of (14/(-35))/((-10)/(-15))? -3/5 Evaluate (-1)/((18/63)/(-2)). 7 What is the value of 90/5*2*2/(-12)? -6 Evaluate (4/(-10))/(6/(-15)). 1 -2*6/(-72)*(-147)/7 -7/2 Evaluate (-14)/(-21)*-4*9/(-84). 2/7 What is 5/(-40)*(-12)/((-6)/(-2))? 1/2 (-18)/(-12)*(-4)/3 -2 What is the value of (-8)/24*9*6/(-9)? 2 8/5*(-1)/(-4) 2/5 What is the value of ((-280)/(-210))/((-4)/6)? -2 Calculate -1*((-24)/(-6))/(-8)*-8. -4 What is 1134/42*-2*(-1)/6? 9 Evaluate -4*6*(-5)/360. 1/3 Evaluate (111/(-1110))/((-6)/(-10)). -1/6 Evaluate ((22/(-20))/(-11))/((-5)/(-20)). 2/5 Calculate (25/((-4400)/99))/((-6)/8). 3/4 Calculate 69/23*-2*(-1)/(-51). -2/17 Calculate (50/8)/(105/84). 5 Calculate 1/(((-1)/1)/3)*-1. 3 What is (40/35)/((-12)/(-42))? 4 Calculate (-13)/(-26)*(-10)/1. -5 What is ((-12)/8)/(684/48)? -2/19 What is 40/54*(-48)/(-32)? 10/9 What is ((-104)/(-130))/((-66)/(-15))? 2/11 What is ((-50)/(-225))/(4/9)*-8? -4 What is the value of 24/32*(-8)/(-12)*-1? -1/2 Calculate ((-2)/15*1)/(34/(-170)). 2/3 What is the value of (2/12)/(62/(-93))? -1/4 (-36)/15*(-60)/(-18) -8 ((0/8)/9)/(-5) 0 What is 415/498*8*1/10? 2/3 What is ((264/(-18))/11)/((-2)/(-6))? -4 Evaluate (104/156)/(2/15). 5 What is -13*(-24)/5460*-10*1? -4/7 What is the value of (2*(-9)/378)/((-1)/9)? 3/7 What is (21/30*-5)/(-14)? 1/4 Evaluate (2/(-44))/(((-210)/(-24))/(-35)). 2/11 (18/(-28))/(6/(-7)) 3/4 Evaluate (10/(-4))/(1/2). -5 What is the value of (-70)/98*-1*7? 5 4*(6/(-8))/((-39)/(-91)) -7 What is -1*(-3)/(-12)*-8? 2 8/2*1/(16/20) 5 What is ((-16)/(-12))/(152/(-12))? -2/19 Calculate (1/2)/(-1*(-6)/(-36)). -3 What is (0*3/(-30))/((-2)/1)? 0 What is ((-5)/(-2))/((-3)/(-2))? 5/3 What is the value of (-1)/((25/(-55))/5)? 11 19/(513/18)*3/11 2/11 (-99)/(-5940)*10/2 1/12 What is the value of ((-1)/((-4)/(-3)))/((-6)/(-24))? -3 (3/2)/((-273)/(-56)*-2) -2/13 Calculate 1/(2*1/2). 1 What is (3/(-4))/((-9)/(-48))? -4 (15/40*-1)/((-21)/(-7)) -1/8 What is the value of (6/(-16))/(4*(-3)/96)? 3 Calculate (-432)/(-32)*8/18. 6 Evaluate (16/(32/18))/((-1)/1). -9 Calculate (-52)/234*(-3)/(-6). -1/9 What is ((-1)/4)/(13*(-9)/(-702))? -3/2 Calculate (18/9)/(2/3). 3 Evaluate (-72)/(-48)*2*1. 3 What is (-60)/(-4)*50/75? 10 Calculate 39/(-117)*(-15)/1. 5 Evaluate (-19)/57*3/2. -1/2 Evaluate (1/(9/1))/(12/36). 1/3 Calculate ((-4)/(-1))/(13/104*8). 4 What is (28/84)/(6/(-4))? -2/9 What is the value of (4/(-6))/((64/(-168))/4)? 7 ((-7)/(-3))/(210/450) 5 What is the value of 1*30/6*1? 5 What is the value of (4/14)/((-152)/133)? -1/4 What is the value of -2*(-3)/15*5? 2 What is the value of ((-24)/(-256)*8)/(2/8)? 3 What is the value of (5/1)/((-9)/9)? -5 Calculate ((-4)/(-6))/((285/9)/5). 2/19 What is the value of (-10)/(((-2)/(-2))/(1/(-2)))? 5 ((-3)/4)/((-1)/4) 3 (8/10)/((-4)/(-1)) 1/5 (306/51)/((-2)/3) -9 What is (9*1/(-8))/(36/(-48))? 3/2 Evaluate -1*(-6)/(-4)*696/(-261). 4 Calculate 5*((-24)/10)/4. -3 Evaluate ((-1)/3)/(12/72). -2 5/(((-30)/(-5))/6) 5 What is the value of 72/48*3*(-8)/(-18)? 2 What is the value of (-6)/(-3)*(-9)/18? -1 Calculate 1*((-36)/9)/4. -1 (-12)/(-18)*(-105)/(-14) 5 Evaluate ((-45)/(-24))/(63/28). 5/6 Evaluate (-13)/13*9*-1. 9 What is the value of ((-2)/(-114)*19)/(2/30)? 5 Evaluate (1*24/(-8))/(-9). 1/3 What is the value of (4/(-25))/(20/400*-4)? 4/5 Evaluate 1/(-3)*(-9)/7. 3/7 What is the value of (-1)/((32/48)/(4/(-39)))? 2/13 What is the value of ((-330)/132)/(10/(-16))? 4 Evaluate (6/(-8))/((-156)/1872). 9 What is (-28)/36*(-2)/(-7)? -2/9 Evaluate (-3)/(12/(-20))*6/10. 3 What is (165/132)/(1/4)? 5 What is 1/(((-10)/(-4))/((-11)/(-11)))? 2/5 Calculate (-3)/4*(-48)/12. 3 What is the value of ((-26)/78)/((-2)/12)? 2 Evaluate ((-10)/14)/(5/2). -2/7 What is the value of (4/(-14))/(6/(-63)*-18)? -1/6 4/(-72)*2*(-6)/5 2/15 Evaluate 6/15*30/3. 4 What is the value of ((-2)/7)/(9/(-63))? 2 Evaluate 21/126*4*9/(-2). -3 Calculate (2/(-3))/1*(-84)/(-728). -1/13 ((-2)/(-6))/(92/(-207)) -3/4 Evaluate (3*(-8)/48)/(2/1). -1/4 (5/5*-1)/((-6)/(-6)) -1 What is ((-116)/(-58))/(1/(-2))? -4 What is the value of 22/121*11/3? 2/3 (-2)/(-18)*18/15*5 2/3 (132/242)/(2/11) 3 What is ((-4)/5)/((-1)/(-5))? -4 What is the value of 1*(-2)/(-2)*(-3)/1? -3 What is the value of (3/6)/((-13)/26)? -1 What is -6*2/(-8)*(-120)/(-36)? 5 (2*(-1)/1)/(-4) 1/2 0/(-2*9/6) 0 Evaluate (6*(-2)/4)/1*3. -9 10/6*(-49)/(-245) 1/3 Evaluate 108/24*(-8)/(-12). 3 Calculate (3/2)/(81/36). 2/3 What is the value of (18/18)/(1/(-1))? -1 30/975*-5*1 -2/13 Evaluate ((-64)/(-3))/16*(-9)/(-2). 6 Calculate (50/10)/((-1)/1). -5 What is the value of 2/(-40)*-4*3/1? 3/5 Calculate (2/4)/(-3*18/(-24)). 2/9 Calculate ((-12)/48)/((-2)/(-40)). -5 Calculate (-10)/(-25)*6/(-12)*-1. 1/5 -5*(-14)/(-60)*(-1)/7 1/6 Evaluate ((-20)/30)/((-1)/(-3)). -2 Calculate (9/(-6))/(54/6). -1/6 Evaluate -2*(12/(-6))/(24/(-4)). -2/3 Calculate ((-12)/(-16))/((462/24)/(-11)). -3/7 What is (-8)/30*117/(-390)? 2/25 What is (-3)/(1*(-12)/16)? 4 Calculate ((-18)/(-27))/(4/(-6)). -1 (1/3)/((-5)/3) -1/5 What is the value of (-72)/270*-2*6/(-8)? -2/5 What is 6*((-2)/25)/(136/(-170))? 3/5 What is the value of 8/40*(-5)/(-3)? 1/3 What is (9/(-15))/((-54)/30)? 1/3 What is (4/10)/((66/15)/2)? 2/11 What is the value of (21/(-84))/(1*6/8)? -1/3 Calculate (-1)/4*4*6/(-2). 3 3/(-7)*14/((-2)/1) 3 Calculate 3*(64/(-24))/8. -1 Calculate -2*(16/(-30))/(2/3). 8/5 What is ((-1)/2)/(45/(-36))? 2/5 What is ((-9)/(-45))/(((-4)/1)/8)? -2/5 3/(-42)*(-217)/(-62) -1/4 What is ((-3)/(-2))/((-144)/384)? -4 (118/177)/((-16)/3*1) -1/8 What is the value of (-120)/140*(-3)/(-6)? -3/7 Calculate (-1)/2*((-60)/(-3))/5. -2 What is the value of ((-108)/792)/(4/(-44))? 3/2 Evaluate (3/5)/((-7)/(-35)). 3 Calculate 816/(-102)*1/44. -2/11 Calculate 10*1*(-4)/(-8). 5 Calculate 0/(-10)*1*1/(-2). 0 Evaluate 1*3/(-2)*(-11)/(-33). -1/2 Calculate ((-10)/(-4))/((-3)/6)*1. -5 Evaluate -10*4/40*5. -5 Calculate (-12)/(-3)*5/20. 1 (-12)/(-15)*(-9)/24*2 -3/5 Calculate (1/((-1)/(-2)))/(31/62). 4 Calculate 14/4*(-9)/(27/(-6)). 7 What is (-6)/(-4)*(12/9)/4? 1/2 ((-10)/(-25))/((-3)/30) -4 What is the value of (1/(-4))/((-22)/440)? 5 Evaluate -1*1/((-12)/(-4)). -1/3 Evaluate 270/(-54)*(-2)/(-5). -2 ((-40)/12)/10*-3 1 Calculate (-30)/(-9)*-2*3/(-5). 4 Calculate (-2)/(-3)*3*195/78. 5 Calculate 10/350*-6*-7. 6/5 Evaluate (0/83)/((2/2)/(-1)). 0 Evaluate (2/8*2)/((-9)/(-72)). 4 What is ((-60)/(-35))/(-6)*1/1? -2/7 What is (2*2/8)/(8/(-32))? -2 What is the value of (-2*(-1)/6)/((-12)/(-9))? 1/4 What is ((-2)/(-6))/(7/63)? 3 Evaluate 6/12*(-40)/(-70). 2/7 What is ((-2)/1)/((-18)/(-9))? -1 Evaluate (0/(3/(-3)))/(16/(-4)). 0 Calculate 12/(-14)*23/(138/(-28)). 4 What is (-3)/135*(-54)/9? 2/15 Evaluate 3/(-1)*(14/(-2))/7. 3 3/198*4*-3 -2/11 What is 45/3*5/(-45)*1? -5/3 Evaluate (-28)/21*24/16. -2 What is the value of 63/252*1/(1/24)? 6 What is 2*2/60*-2? -2/15 What is (10/(-2))/(1/1)? -5 What is (153/255)/(3/25)? 5 (-6)/(((-10)/(-35))/((-33)/77)) 9 Evaluate ((9/(-6))/3)/((-4)/(-3)). -3/8 What is the value of 4/24*1*-9? -3/2 Evaluate ((-9)/((-45)/(-10)))/(-10). 1/5 Evaluate (-20)/30*(-6)/(-16). -1/4 Calculate (-6)/8*(-20)/(-30). -1/2 (-11)/(-11)*44/(-4) -11 Calculate (-6)/5*(-19)/(228/40). 4 (-66)/99*18/48 -1/4 Calculate (-1)/9*(-2)/(-2)*6. -2/3 Evaluate (8/(-16))/((-57)/(-12)). -2/19 (5/30)/(3/(-4)) -2/9 Calculate ((-24)/(-6))/((-3)/((-15)/(-10))). -2 Calculate -8*10*6/120. -4 What is -1*(-2)/(-5)*-5? 2 ((2/6)/((-9)/27))/1 -1 What is -4*5/(-6)*(-306)/(-255)? 4 Calculate (-1)/(6*14/(-21)). 1/4 Calculate 12/(-10)*(-39)/234. 1/5 Evaluate -2*3*(-4)/(-12)*-4. 8 Evaluate (6/2)/(13/((-13)/2)). -3/2 Evaluate 2*(-3)/4*50/75. -1 Evaluate 1*(36/18)/(1*3). 2/3 Evaluate (16/6)/((-28)/42). -4 Calculate 9/3*(11/(-2))/(-11). 3/2 0/5*(-3)/(-3) 0 Evaluate ((-20)/(-5))/(40/(-60)). -6 What is the value of 15/(-75)*140/(-4)? 7 What is the value of (320/(-768))/(5/(-2)*1)? 1/6 Calculate (-6)/(-10*8/(-20)). -3/2 (-3)/(-6)*4/11 2/11 What is the value of -5*((-22)/30)/11*2? 2/3 3*(4/(-3))/((-135)/(-27)) -4/5 What is -5*(216/(-20))/9? 6 (2/(-5))/(-12*7/(-140)) -2/3 Evaluate (4/(-10))/(30/75)*0. 0 What is the value of 160/200*10/(-4)? -2 Evaluate 5*1/30*-4. -2/3 Evaluate (22/(-154))/(5/35). -1 What is the value of 4/(-7)*91/
{ "pile_set_name": "DM Mathematics" }
d = 0. -3, -1/2, 0, 1 Solve 3*w**5/2 - 33*w**4/2 + 75*w**3/2 - 15*w**2/2 - 39*w + 24 = 0 for w. -1, 1, 2, 8 Factor 27*y**2 + 15033*y - 3342. 3*(y + 557)*(9*y - 2) Let -3*c**2 + 18*c = 0. Calculate c. 0, 6 Determine k so that -k**2/6 - 25*k/6 - 23/3 = 0. -23, -2 Factor 5*o**4 + 60*o**3 + 50*o**2 - 60*o - 55. 5*(o - 1)*(o + 1)**2*(o + 11) Suppose 3*a**4/2 - 63*a**3 + 1191*a**2/2 + 1386*a + 726 = 0. What is a? -1, 22 Find v such that 166*v**5 + 174*v**4 + 8*v**3 = 0. -1, -4/83, 0 Let z**4/3 - 2*z**3/3 - 19*z**2/3 + 20*z/3 = 0. What is z? -4, 0, 1, 5 Factor -2*x**4/17 + 4*x**3/17. -2*x**3*(x - 2)/17 Factor -2*o**3 + 26*o**2 - 68*o - 96. -2*(o - 8)*(o - 6)*(o + 1) Factor -n**4/10 + 3*n**3/2 - 24*n**2/5 + 22*n/5. -n*(n - 11)*(n - 2)**2/10 Factor -w**5/4 - 5*w**4/2 - 9*w**3 - 29*w**2/2 - 43*w/4 - 3. -(w + 1)**3*(w + 3)*(w + 4)/4 Factor 3*a**3 + 873*a**2 + 63945*a + 63075. 3*(a + 1)*(a + 145)**2 Factor 2*u**4 + 2*u**3 - 4*u**2. 2*u**2*(u - 1)*(u + 2) Factor 3*b**3/8 - 129*b**2/8 + 231*b - 2205/2. 3*(b - 15)*(b - 14)**2/8 Solve -l**3/3 + 523*l**2/3 + l/3 - 523/3 = 0 for l. -1, 1, 523 Factor 5*z**4 + 105*z**3 - 5*z**2 - 105*z. 5*z*(z - 1)*(z + 1)*(z + 21) Factor 2*g**4/17 - 62*g**3/17 - 64*g**2/17. 2*g**2*(g - 32)*(g + 1)/17 Solve -3*k**3 - 4*k**2 + 28*k - 16 = 0. -4, 2/3, 2 Factor 5*d**4 - 95*d**3 + 175*d**2 - 85*d. 5*d*(d - 17)*(d - 1)**2 Factor 3*l**3/8 + 69*l**2/8 - 144*l + 945/2. 3*(l - 6)**2*(l + 35)/8 Suppose -4*f**2 + 2424*f + 2428 = 0. Calculate f. -1, 607 Suppose -l**5/6 - 7*l**4/6 + 115*l**3/6 - 125*l**2/6 - 125*l = 0. Calculate l. -15, -2, 0, 5 What is g in 3*g**5/5 + 6*g**4 + 48*g**3/5 = 0? -8, -2, 0 Determine k so that -3*k**4 + 156*k**3 - 729*k**2 + 1140*k - 564 = 0. 1, 2, 47 Factor 3*u**2 + 450*u + 1752. 3*(u + 4)*(u + 146) What is w in -9*w**5/4 + 15*w**4 + 21*w**3/4 - 81*w**2 - 27*w = 0? -2, -1/3, 0, 3, 6 Factor p**2/9 + 8*p/9 + 16/9. (p + 4)**2/9 Let 2*z**3/11 + 218*z**2/11 + 5600*z/11 - 18816/11 = 0. Calculate z. -56, 3 Suppose -2*r**4 - 10*r**3 + 94*r**2 + 210*r + 108 = 0. Calculate r. -9, -1, 6 Let -9*l**4/8 - 39*l**3/8 - 3*l**2 + 9*l/2 = 0. What is l? -3, -2, 0, 2/3 What is j in -84*j**4/11 - 2950*j**3/11 - 5988*j**2/11 - 3782*j/11 - 60 = 0? -33, -1, -5/6, -2/7 Factor 9*n**2/2 + 141*n/8 - 3/2. 3*(n + 4)*(12*n - 1)/8 Factor 3*a**4 + 891*a**3 + 7776*a**2. 3*a**2*(a + 9)*(a + 288) What is h in 3*h**4 - 36*h**3 + 351*h**2/4 - 249*h/4 + 27/2 = 0? 1/2, 2, 9 Solve -2*g**5/3 + 8*g**4 - 94*g**3/3 + 40*g**2 = 0 for g. 0, 3, 4, 5 Let 2*y**4/5 - 1104*y**3/5 + 154544*y**2/5 - 604992*y/5 + 600608/5 = 0. Calculate y. 2, 274 Factor -5*b**4 + 25*b**3 - 45*b**2 + 35*b - 10. -5*(b - 2)*(b - 1)**3 Factor -2*d**3/5 + 12*d**2/5 - 2*d. -2*d*(d - 5)*(d - 1)/5 Find o such that -o**2 + 39*o + 126 = 0. -3, 42 Determine w, given that -4*w**3/3 - 56*w**2/3 + 80*w/3 + 800 = 0. -10, 6 Factor 5*i**2 - 24900*i + 31000500. 5*(i - 2490)**2 Determine f, given that 3*f**2/5 - 3294*f/5 + 904203/5 = 0. 549 Factor -7*o**3 + 712*o**2 - 503*o - 202. -(o - 101)*(o - 1)*(7*o + 2) Factor -100*u**2 - 16*u. -4*u*(25*u + 4) Find p such that -p**2/4 + 2*p + 9/4 = 0. -1, 9 Solve 28*j**2 - 20*j - 152 = 0 for j. -2, 19/7 Determine s so that 5*s**3 + 810*s**2 + 5425*s = 0. -155, -7, 0 Suppose 5*a**2 + 5*a - 30 = 0. Calculate a. -3, 2 Factor -2*i**2/3 - 8*i/3 - 2. -2*(i + 1)*(i + 3)/3 Let 10*h**5 + 32*h**4 - 202*h**3/5 - 128*h**2/5 + 152*h/5 - 32/5 = 0. Calculate h. -4, -1, 2/5, 1 Factor 2*r**4/5 + 16*r**3/5 - 48*r**2/5 - 576*r/5 - 864/5. 2*(r - 6)*(r + 2)*(r + 6)**2/5 Solve -5*h**3 - 795*h**2 - 1575*h - 785 = 0 for h. -157, -1 Find s, given that 5*s**5 + 175*s**4 + 590*s**3 - 1110*s**2 - 5715*s - 4185 = 0. -31, -3, -1, 3 Suppose i**2/6 - 13*i/6 + 6 = 0. Calculate i. 4, 9 Factor -l**3/2 + 193*l**2 + 388*l. -l*(l - 388)*(l + 2)/2 Find l, given that 3*l**2/7 - 13*l/7 + 4/7 = 0. 1/3, 4 Determine m, given that -270*m**2 - 545*m - 10 = 0. -2, -1/54 Factor -2*x**4 + 30*x**3 + 36*x**2 - 64*x. -2*x*(x - 16)*(x - 1)*(x + 2) Factor -2*i**2/7 - 6*i/7 - 4/7. -2*(i + 1)*(i + 2)/7 Factor 2*m**3 - 2*m**2 - 34*m - 30. 2*(m - 5)*(m + 1)*(m + 3) Let 2*u**3/9 - 12*u**2 + 192*u - 960 = 0. What is u? 12, 30 Factor -8*z**4 + 6*z**3 + 12*z**2 - 10*z. -2*z*(z - 1)**2*(4*z + 5) Factor -5*c**3 + 14360*c**2 - 10310480*c. -5*c*(c - 1436)**2 Let -2*w**4/7 + 128*w**3/7 + 534*w**2/7 + 676*w/7 + 272/7 = 0. Calculate w. -2, -1, 68 Factor -q**2/2 + 90*q + 182. -(q - 182)*(q + 2)/2 Factor -5*k**2/3 - 10*k + 35/3. -5*(k - 1)*(k + 7)/3 Find s such that 5*s**3 - 975*s**2 + 63375*s - 1373125 = 0. 65 Factor 4*t**3 - 80*t**2 + 464*t - 640. 4*(t - 10)*(t - 8)*(t - 2) Factor -4*a**3 - 381*a**2 - 2879*a - 696. -(a + 8)*(a + 87)*(4*a + 1) Factor 6*b**2 - 1563*b - 783. 3*(b - 261)*(2*b + 1) Let 3*q**2/4 + 42*q - 171/4 = 0. Calculate q. -57, 1 Factor -4*b**2 + 628*b + 1272. -4*(b - 159)*(b + 2) Factor -2*c**2/5 + 604*c/5 - 45602/5. -2*(c - 151)**2/5 Suppose -o**2 - 71*o + 632 = 0. Calculate o. -79, 8 Factor -s**2/4 + 21*s/2 - 405/4. -(s - 27)*(s - 15)/4 Factor t**4/3 - 8*t**3/3 - 10*t**2/3 + 8*t/3 + 3. (t - 9)*(t - 1)*(t + 1)**2/3 Solve 2*y**2/3 - 212*y/3 + 5618/3 = 0 for y. 53 Let -2*t**4 + 4*t**3 + 30*t**2 + 8*t - 40 = 0. Calculate t. -2, 1, 5 Factor -9*d**4/5 + 53*d**3/5 - 39*d**2/5 - d. -d*(d - 5)*(d - 1)*(9*d + 1)/5 Factor 3*l**3 - 18*l**2 + 9*l + 30. 3*(l - 5)*(l - 2)*(l + 1) Solve 2*a**5/11 - 96*a**4/11 + 1534*a**3/11 - 736*a**2 - 1536*a/11 + 8192/11 = 0. -1, 1, 16 Determine q, given that -4*q**4/3 - 80*q**3/3 - 104*q**2 + 880*q/3 - 484/3 = 0. -11, 1 Let 4*x**5/3 + 94*x**4/3 - 2590*x**3/3 - 6850*x**2/3 - 1858*x - 468 = 0. Calculate x. -39, -1, -1/2, 18 Factor -s**4 - 6*s**3. -s**3*(s + 6) Suppose 5*m**5 - 920*m**4 + 7160*m**3 - 21280*m**2 + 28240*m - 14080 = 0. Calculate m. 2, 176 Factor 2*k**5 + 16*k**4 - 38*k**3 + 20*k**2. 2*k**2*(k - 1)**2*(k + 10) Factor 438*a**3 + 872*a**2 - 1322*a + 12. 2*(a - 1)*(a + 3)*(219*a - 2) Solve 15*z**5 - 130*z**4 - 70*z**3 + 220*z**2 + 55*z - 90 = 0 for z. -1, 2/3, 1, 9 Let -p**5 - p**4 + 11*p**3 - 7*p**2 - 10*p + 8 = 0. What is p? -4, -1, 1, 2 Factor j**4/4 + 5*j**3/4 + 3*j**2/4 - 9*j/4. j*(j - 1)*(j + 3)**2/4 Suppose 3*n**2/5 - 27/5 = 0. What is n? -3, 3 Factor -p**2 - 767*p - 766. -(p + 1)*(p + 766) Solve 3*l**2 - 876*l - 6279 = 0 for l. -7, 299 Let -4*l**4 - 80*l**3 + 576*l**2 - 1216*l + 832 = 0. Calculate l. -26, 2 Determine y, given that 14*y**5/5 + 4*y**4/5 - 84*y**3/5 + 88*y**2/5 - 2*y - 12/5 = 0. -3, -2/7, 1 Factor -a**2 + 112*a - 3136. -(a - 56)**2 Let 2*a**4/5 + 5942*a**3/5 + 11878*a**2/5 + 5938*a/5 = 0. Calculate a. -2969, -1, 0 Factor 5*c**3/2 + 96*c**2 + 1881*c/2 + 361. (c + 19)**2*(5*c + 2)/2 Suppose 2*u**3/7 - 2*u**2/7 - 4*u/7 = 0. Calculate u. -1, 0, 2 Factor 5*q**3 + 10*q**2 - 80*q - 160. 5*(q - 4)*(q + 2)*(q + 4) Let 3*r**2/5 - 1560*r + 1014000 = 0. What is r? 1300 Factor -2*h**4 - 1272*h**3 - 202248*h**2. -2*h**2*(h + 318)**2 Determine f, given that 6*f**4 - 38*f**3 + 60*f**2 - 16*f = 0. 0, 1/3, 2, 4 Let 2*k**3/5 + 186*k**2 + 28830*k + 1489550 = 0. Calculate k. -155 Factor -2*t**2/11 - 428*t/11 + 1302/11. -2*(t - 3)*(t + 217)/11 Let -g**5/5 + 121*g**4/5 - 237*g**3/5 - 121*g**2/5 + 238*g/5 = 0. Calculate g. -1, 0, 1, 2, 119 Solve 3*a**2 - 183*a = 0 for a. 0, 61 Factor -3*m**4 + 63*m**3 + 486*m**2 + 96*m - 2592. -3*(m - 27)*(m - 2)*(m + 4)**2 What is b in 4*b**5 + 12*b**4 + 12*b**3 + 4*b**2 = 0? -1, 0 Solve -3*a**5/2 + 21*a**4/4 + 3*a**3/4 - 39*a**2/2 + 21*a - 6 = 0 for a. -2, 1/2, 1, 2 Factor -3*m**3/4 + 429*m**2/4 + 108*m. -3*m*(m - 144)*(m + 1)/4 Factor 2*a**3/7 - 20*a**2/7 + 66*a/7 - 72/7. 2*(a - 4)*(a - 3)**2/7 Find h, given that -h**2 + 10*h - 21 = 0. 3, 7 Let -55*g**4 + 320*g**3 - 435*g**2 + 130*g + 40 = 0. Calculate g. -2/11, 1, 4 What is c in 2*c**5 - 6*c**3 - 4*c**2 = 0? -1, 0, 2 Let -k**2 - 16*k - 48 = 0. What is k? -12, -4 Determine r so that -r**5/4 - r**4/4 + 51*r**3/4 + 149*r**2/4 + 73*r/2 + 12 = 0. -6, -1, 8 Factor -4*h**3 + 28*h**2 + 68*h + 36. -4*(h - 9)*(h + 1)**2 Factor f**4 + 2968*f**3 + 2196312*f**2 - 8820896*f + 8832784. (f - 2)**2*(f + 1486)**2 What is u in 4*u**2 - 396*u - 2080 = 0? -5, 104 Let 3*x**4/7 + 9*x**3/7 + 6*x**2/7 = 0. What is x? -2, -1, 0 Solve -3*m**5 + 84*m**4 - 792*m**3 + 2496*m**2 + 1680*m - 14400 = 0. -2, 4, 6, 10 Factor 2*k*
{ "pile_set_name": "DM Mathematics" }
he second derivative of 74*k**3*n**2 + k**3*n - 2*k**3 - 2*k**2*n**2 - 611*k*n**2 + 2*k*n - 3*n**2 + 9*n - 220000 wrt n. 148*k**3 - 4*k**2 - 1222*k - 6 What is the third derivative of 7322884*i**5 + i**2 - 1135447*i? 439373040*i**2 Find the second derivative of -48*b**4 + 262672*b**2 - 84993326*b. -576*b**2 + 525344 What is the second derivative of -4923772*u**2 + 25088*u + 27? -9847544 Find the second derivative of -198*t**5 + 647*t**4 - t**3 - 472*t + 42. -3960*t**3 + 7764*t**2 - 6*t Differentiate -648941249*w + 718300743 with respect to w. -648941249 Find the second derivative of -13*h**4 + 511492*h**3 + 385141*h + 23 wrt h. -156*h**2 + 3068952*h What is the second derivative of -68570*s**3 - 1554*s**2 + 211*s - 1585209? -411420*s - 3108 Find the second derivative of -4178167*r**2 - 1682169*r + 5 wrt r. -8356334 What is the second derivative of -597742*f**2*o**3 + 973*f**2*v**2 - 71*f*o**3*v**3 + 17*o*v**3 + 96*o*v**2 wrt o? -3586452*f**2*o - 426*f*o*v**3 Find the second derivative of 29309*h**2*k**2 - 2*h**2*k - 3*h**2 + 35*h*k**4 + 17015*h*k - 4*k + 3 wrt k. 58618*h**2 + 420*h*k**2 Differentiate 112727062*k + 135997126. 112727062 What is the second derivative of 6221465*t**5 + 3*t**3 + 8*t - 97082? 124429300*t**3 + 18*t Find the third derivative of 247119*a*f**3 - 4*a*f**2 + 4*a*f + 10*a - 197*f**3 - f**2 + 2*f + 25 wrt f. 1482714*a - 1182 What is the second derivative of 13619377*p**2 + 43722*p + 36? 27238754 Find the third derivative of -14890025*y**4 - 6521676*y**2 + 4 wrt y. -357360600*y Find the third derivative of -11268038*f**5 - 270*f**2 - 7967*f wrt f. -676082280*f**2 Find the second derivative of 150691328*w**4 - 2118815*w - 80. 1808295936*w**2 What is the third derivative of 15146377*c**3*r**3 + 856*c**2*r**2 + 3*c**2*r + 523*c*r**3 wrt c? 90878262*r**3 Find the third derivative of 35964406*b**4 - 7*b**2 - 313796 wrt b. 863145744*b Find the third derivative of -5547*b**3*l**3 + 11662*b**3 + 112*b**2 + 168*b*l - 27*l**3 + l**2 wrt b. -33282*l**3 + 69972 What is the third derivative of 5*c*x*z**3 - 10*c*x*z**2 - 39*c*x*z - 16*c*x - c*z**3 - 2*c*z**2 + 2*c*z - 5*x*z**3 + 2*x*z**2 + 125*z**3 wrt z? 30*c*x - 6*c - 30*x + 750 Find the second derivative of 177423706*c*s**2 - 750730*c*s - c + 4*s wrt s. 354847412*c What is the first derivative of 3709528*c**2*l**2 - 2*l**2 - 6363*l - 5 wrt c? 7419056*c*l**2 What is the first derivative of -78183811*o**2*x**3 + o*x**3 + 51545039*x**3 wrt o? -156367622*o*x**3 + x**3 What is the first derivative of 190*d**2*x**3 - 9059*d*k*x**3 - 3*k*x**2 + 888*k*x + 2*x**3 + 318 wrt d? 380*d*x**3 - 9059*k*x**3 What is the second derivative of -213*h**4 - 14230*h**3 + 20260841*h wrt h? -2556*h**2 - 85380*h Find the third derivative of -5310102*a**4 + 4718*a**2 + 8222 wrt a. -127442448*a Find the third derivative of -812*a**4 - 129*a**3 + 604*a**2 - 3*a - 2616 wrt a. -19488*a - 774 Find the first derivative of 65049007*a**4 - 56348397. 260196028*a**3 What is the third derivative of 640678541*x**5 - 29*x**2 - 11982123 wrt x? 38440712460*x**2 Differentiate 2*a*j**2 + 5*a*j + 92919*a - 7754782*j**2 with respect to a. 2*j**2 + 5*j + 92919 Find the first derivative of -6*r*v**2 + 6654276*r*v - 208710812*v**2 wrt r. -6*v**2 + 6654276*v Find the second derivative of 23149421*g**2*u**2 - 4*g*u**2 - 2657*g*u - 354 wrt g. 46298842*u**2 Find the second derivative of 2*l**3 - 730809601*l**2 + 5911790*l + 20 wrt l. 12*l - 1461619202 What is the derivative of x**2 - 68774792*x + 624655530 wrt x? 2*x - 68774792 What is the second derivative of 9973245*b*l**3 + 2*b*l**2 + 2*b*l + 422485000*b - 4*l**2 wrt l? 59839470*b*l + 4*b - 8 Find the second derivative of 9438945*q**2*s**2 + 711*q*s**2 + 8*q*s + 9*q + 3*s**2 + 1 wrt q. 18877890*s**2 What is the third derivative of 2*l**4*s**2 - 651377*l**3*s - 26761589*l**2*s**2 wrt l? 48*l*s**2 - 3908262*s What is the derivative of -12*b**2*p + 33*b**2 + 128760*b*p - b + 960294683*p wrt b? -24*b*p + 66*b + 128760*p - 1 Differentiate 26*g**3*o**2 + 23980165*g**3 - 112501*g*o**3 with respect to o. 52*g**3*o - 337503*g*o**2 Differentiate 2*n**3 + 4137*n**2 + 1789*n + 146441498 wrt n. 6*n**2 + 8274*n + 1789 What is the third derivative of -126597566*m**3*r**2 - 8*m**2*r**2 + 12*m**2*r + 16*m**2 - 8*r**2 wrt m? -759585396*r**2 Find the second derivative of 19*b*h**2*z + 54*b*h**2 + b*h*z - 2*b*h + b*z - 299*h**2*z + h**2 + 20*h*z - z - 5 wrt h. 38*b*z + 108*b - 598*z + 2 Find the second derivative of 2*f**2*l**2 + 349373*f**2*l + 5*f*l**2 + 17304*f*l + 2*l + 2 wrt f. 4*l**2 + 698746*l Find the second derivative of 68843*j**4*u - 13*j**2*u - 285*j + 17583*u wrt j. 826116*j**2*u - 26*u What is the third derivative of 3795*g**2*r**3 + 50*g**2 + 3*g*r**3 + 3*g*r**2 - 907*r**3 - 31671*r**2 - 1 wrt r? 22770*g**2 + 18*g - 5442 Differentiate 12295692*h + 656153. 12295692 Find the third derivative of 23*f**3*x**2 - 58078*f**3*x + 2*f**2*x**2 + 2*f**2*x - 4*f*x + 73022 wrt f. 138*x**2 - 348468*x Find the first derivative of 2*i**4 + 2*i**3 + 23*i**2 + 3602*i + 3455709. 8*i**3 + 6*i**2 + 46*i + 3602 Differentiate 30*d**3 + 2*d**2 - 344389*d - 407032732. 90*d**2 + 4*d - 344389 What is the third derivative of -2596548*x**3 - 716*x**2 - 2*x - 10262? -15579288 Find the second derivative of 54924*i**4 + 41*i**3 - 42*i**2 - 606614054*i. 659088*i**2 + 246*i - 84 Differentiate 15*k**3*u - 2224*k**3 + 44*k**2 - 1477472*u + 159 with respect to k. 45*k**2*u - 6672*k**2 + 88*k What is the second derivative of 2*l**3 + 29273036*l**2 + 73755525*l wrt l? 12*l + 58546072 Differentiate 1075319*a*j**3 + 4*a*j**2 + 2678631*j**3 wrt a. 1075319*j**3 + 4*j**2 Find the second derivative of -768*i**2*u**2 + 6*i**2*u + 9127*i**2 + 2932*i*u**2 - 40*i*u wrt u. -1536*i**2 + 5864*i What is the second derivative of 75255758*l**2*v + 61*l + 175027*v wrt l? 150511516*v What is the second derivative of -21694*d**4 - 4*d**3 + 50*d**2 - 10713*d - 4437 wrt d? -260328*d**2 - 24*d + 100 What is the second derivative of -23477615*p**2 + 11235137*p? -46955230 What is the first derivative of -925*q**4 + 153230*q**2 - 26401124? -3700*q**3 + 306460*q Differentiate -8*j*k - 17*j*u**2 + 2*j*u - 5*j + 32*k*u**2 - 222*u**2 + u + 6 with respect to j. -8*k - 17*u**2 + 2*u - 5 Find the third derivative of 1390*m**4*s + 1263*m**4 - m**3*s - m**2*s - 15*m**2 + 10*m*s + 15*s - 9 wrt m. 33360*m*s + 30312*m - 6*s Differentiate -11550214*m - 24338316 with respect to m. -11550214 What is the third derivative of -4081887*m**2*t**3*x**3 - 101*m**2*t**2*x**2 + 5*m**2*x**2 + 3*m*t**2*x**3 - m*t*x + 2*t**3*x**3 - 4*t**2*x**2 - 6*t*x**3 wrt t? -24491322*m**2*x**3 + 12*x**3 Find the third derivative of -15827632*o**3 - 8710627*o**2 - 3 wrt o. -94965792 Find the second derivative of -22119563*c**2 + 245655323*c wrt c. -44239126 What is the third derivative of 2*t**5 + 3215*t**4 - 488*t**3 + 57309976*t**2? 120*t**2 + 77160*t - 2928 Find the third derivative of 36272*c**5 + 8*c**4 + 20*c**3 - 31087998*c**2. 2176320*c**2 + 192*c + 120 Find the third derivative of 7*m**6 - 49371*m**5 + 4*m**4 - 2192*m**2 + 202 wrt m. 840*m**3 - 2962260*m**2 + 96*m Find the second derivative of 2*g**3*y**2 + g**3*y + 16*g**2*y**2 + 27*g**2 - 191*g*y**2 + 2*g*y - 1018658*g + 430*y**2 wrt y. 4*g**3 + 32*g**2 - 382*g + 860 Find the first derivative of 431454630*h**3 + 148774675. 1294363890*h**2 What is the second derivative of 203641841*f**2 + 180026541*f? 407283682 Differentiate -161832*a*w**2 + a*w + a - 26*w**2 + 6*w - 12381472 with respect to w. -323664*a*w + a - 52*w + 6 Find the first derivative of -19599127*t + 22682753 wrt t. -19599127 Find the second derivative of -8*o**4 - 33*o**3 - 792*o**2 + 101*o + 8787. -96*o**2 - 198*o - 1584 Find the third derivative of -1118152920*j*p**3 - 565*j*p**2 - 13*j*p - 7*j + 3*p**2 - p - 1 wrt p. -6708917520*j Find the third derivative of -3807*h**5 + 941*h**4 + 16*h**2 + 3508*h + 22. -228420*h**2 + 22584*h Find the first derivative of 3357875*y - 7550659. 3357875 Find the first derivative of -12987405*p*r**3 + r**3 - 4*r**2 - 34589*r - 120 wrt p. -12987405*r**3 Differentiate 21347*f**2*s + 239229*f**2 + 57*f - 613*s with respect to s. 21347*f**2 - 613 What is the third derivative of -1424*q**6 - 40*q**5 - 2*q**3 + q**2 - 1360132*q? -170880
{ "pile_set_name": "DM Mathematics" }
ce px? 1/3 Four letters picked without replacement from irgugurwru. Give prob of sequence wirg. 1/840 Four letters picked without replacement from wwvwvddrwrvawvrv. What is prob of sequence ardv? 1/1456 Three letters picked without replacement from ccsgsogp. What is prob of sequence gco? 1/84 Two letters picked without replacement from {r: 2, m: 6, g: 3, j: 1}. What is prob of sequence gm? 3/22 Calculate prob of sequence xnn when three letters picked without replacement from xxxxxxxxxnxnnn. 5/91 Calculate prob of sequence du when two letters picked without replacement from uuuddddouuuudo. 5/26 Four letters picked without replacement from eeleellllg. What is prob of sequence elle? 1/21 Calculate prob of sequence ot when two letters picked without replacement from {o: 1, q: 2, n: 4, t: 3}. 1/30 What is prob of sequence qjmj when four letters picked without replacement from wjmqj? 1/60 Three letters picked without replacement from ggxxkkogoxgxgxgxgx. Give prob of sequence gko. 7/1224 Four letters picked without replacement from {c: 1, i: 4, v: 1, o: 2, u: 2, r: 2}. Give prob of sequence roco. 1/2970 Four letters picked without replacement from tpppkkidppdpikddppk. Give prob of sequence kidt. 1/2907 Three letters picked without replacement from {r: 3, m: 3, t: 2, b: 1, h: 2, z: 4}. Give prob of sequence brh. 1/455 Two letters picked without replacement from {l: 2, u: 1, w: 2, t: 1, v: 1, r: 1}. What is prob of sequence uv? 1/56 Three letters picked without replacement from bygyybbjyjyjby. What is prob of sequence yjb? 3/91 Calculate prob of sequence xs when two letters picked without replacement from xxxsxxxsxxx. 9/55 Calculate prob of sequence hhxh when four letters picked without replacement from xkhxhxxxhhxkxxhxxh. 5/306 Two letters picked without replacement from {v: 4, w: 1, d: 2}. What is prob of sequence dd? 1/21 What is prob of sequence dddd when four letters picked without replacement from {d: 5, w: 7}? 1/99 Calculate prob of sequence es when two letters picked without replacement from {c: 2, e: 7, s: 5, h: 4, v: 2}. 7/76 Two letters picked without replacement from {j: 1, o: 1, i: 2}. Give prob of sequence oi. 1/6 Four letters picked without replacement from kqbkhq. What is prob of sequence qhqb? 1/180 What is prob of sequence mvvm when four letters picked without replacement from mmmmvvvmmmmmmmm? 11/455 Calculate prob of sequence uu when two letters picked without replacement from uuuuumumnuubbbn. 4/15 Two letters picked without replacement from {q: 2, w: 1, o: 11}. What is prob of sequence qo? 11/91 Three letters picked without replacement from {u: 1, t: 1, f: 2, z: 2, q: 2, r: 4}. What is prob of sequence zzt? 1/660 Calculate prob of sequence bcf when three letters picked without replacement from {c: 1, b: 1, f: 1}. 1/6 Two letters picked without replacement from {c: 3, x: 4, r: 1}. What is prob of sequence xc? 3/14 Four letters picked without replacement from eteesettmteteette. What is prob of sequence smte? 1/1020 Two letters picked without replacement from {y: 1, p: 5, w: 4, j: 1, r: 4}. What is prob of sequence jp? 1/42 Two letters picked without replacement from {n: 9, u: 3, z: 4, t: 4}. What is prob of sequence zu? 3/95 Three letters picked without replacement from etut. Give prob of sequence utt. 1/12 Four letters picked without replacement from {z: 3, b: 3, d: 4, v: 4, p: 6}. Give prob of sequence bpvb. 2/1615 Calculate prob of sequence pp when two letters picked without replacement from ppppeppp. 3/4 Two letters picked without replacement from sssssmssssss. What is prob of sequence ms? 1/12 What is prob of sequence sppc when four letters picked without replacement from qcpqscpupcpu? 1/330 Four letters picked without replacement from {i: 3, q: 1, a: 9, l: 3, g: 2}. What is prob of sequence qggl? 1/12240 Calculate prob of sequence ootr when four letters picked without replacement from otrrtotototoo. 5/286 What is prob of sequence nnk when three letters picked without replacement from {k: 2, n: 2}? 1/6 Calculate prob of sequence kocb when four letters picked without replacement from ccoibccccckccococckc. 13/19380 What is prob of sequence nnn when three letters picked without replacement from bnnndhbndnnb? 1/11 What is prob of sequence de when two letters picked without replacement from dnhooey? 1/42 Two letters picked without replacement from ennan. Give prob of sequence ae. 1/20 Calculate prob of sequence oror when four letters picked without replacement from {o: 4, r: 14}. 91/3060 Three letters picked without replacement from {t: 2, z: 1}. Give prob of sequence tzt. 1/3 Two letters picked without replacement from {m: 7, q: 4, t: 4}. What is prob of sequence tt? 2/35 Two letters picked without replacement from {w: 3, i: 5}. Give prob of sequence ii. 5/14 What is prob of sequence wexw when four letters picked without replacement from lxzwwzazwex? 1/660 Three letters picked without replacement from ffqqqqqqfqf. Give prob of sequence qff. 14/165 Three letters picked without replacement from {p: 7, q: 1, m: 1, e: 3, s: 2}. Give prob of sequence mpm. 0 Three letters picked without replacement from {s: 1, z: 4, p: 2, a: 2, c: 1, f: 4}. What is prob of sequence azz? 1/91 Calculate prob of sequence bb when two letters picked without replacement from {b: 8, r: 5}. 14/39 Calculate prob of sequence sc when two letters picked without replacement from xxscxnsnxc. 2/45 Three letters picked without replacement from zzcdcccdccczcczz. What is prob of sequence czd? 3/112 Three letters picked without replacement from uyaujuauuyujy. Give prob of sequence yja. 1/143 Two letters picked without replacement from {e: 2, l: 5, u: 3}. Give prob of sequence lu. 1/6 Calculate prob of sequence wwuw when four letters picked without replacement from uwuwouwwwuttuuuu. 1/91 Four letters picked without replacement from fhhhhf. What is prob of sequence hhhf? 2/15 Two letters picked without replacement from qooosoqqoqsos. Give prob of sequence qo. 2/13 What is prob of sequence wwk when three letters picked without replacement from wkywkwwkkykk? 3/55 Two letters picked without replacement from {m: 1, l: 9, j: 1}. What is prob of sequence mm? 0 What is prob of sequence di when two letters picked without replacement from kskdsdiwwduiuuksi? 9/272 What is prob of sequence ue when two letters picked without replacement from {o: 1, e: 7, u: 2, f: 4, i: 1, g: 2}? 7/136 Calculate prob of sequence rk when two letters picked without replacement from rripirrrks. 1/18 Two letters picked without replacement from {h: 2, x: 2, i: 5, z: 4}. Give prob of sequence iz. 5/39 Two letters picked without replacement from {h: 4, z: 1, f: 5, a: 1, r: 1, n: 1}. What is prob of sequence zf? 5/156 Calculate prob of sequence gmm when three letters picked without replacement from {h: 4, m: 4, g: 11}. 22/969 Calculate prob of sequence dt when two letters picked without replacement from cdt. 1/6 Calculate prob of sequence zzy when three letters picked without replacement from {z: 2, x: 1, t: 8, n: 1, i: 2, y: 1}. 1/1365 Four letters picked without replacement from {b: 3, q: 3, a: 2, r: 3, l: 4, s: 1}. Give prob of sequence rqra. 3/3640 Three letters picked without replacement from mmpmkammmlmmmm. Give prob of sequence kap. 1/2184 Three letters picked without replacement from {a: 3, o: 5, h: 1}. What is prob of sequence aoo? 5/42 What is prob of sequence ios when three letters picked without replacement from iiooooooso? 7/360 What is prob of sequence sker when four letters picked without replacement from fqrkeereerfqsqeeses? 7/10336 Two letters picked without replacement from {t: 7, x: 1}. What is prob of sequence xt? 1/8 Calculate prob of sequence yo when two letters picked without replacement from {t: 2, y: 4, o: 1, n: 4, z: 3}. 2/91 Calculate prob of sequence fvv when three letters picked without replacement from {e: 3, f: 2, v: 4, j: 8}. 1/170 Three letters picked without replacement from jjtjjjjjt. Give prob of sequence tjj. 1/6 Calculate prob of sequence rgi when three letters picked without replacement from giirriiuiiir. 7/440 Calculate prob of sequence gqq when three letters picked without replacement from {d: 4, g: 1, x: 1, q: 2}. 1/168 Calculate prob of sequence re when two letters p
{ "pile_set_name": "DM Mathematics" }
- 15*b - 11. Let q(z) be the first derivative of x(z). Factor q(p). -2*(p - 1)**3/11 Let j(x) be the second derivative of 0 - 15/16*x**4 + 13*x - 375/8*x**2 + 3/80*x**5 + 75/8*x**3. Factor j(r). 3*(r - 5)**3/4 Let j = 1276/3 + -424. Solve -10/3*y**3 - 6*y + j + 8*y**2 = 0. 2/5, 1 Suppose 293 + 12*y**2 + 3*y**3 - 293 - 15*y = 0. Calculate y. -5, 0, 1 Let j = -2/9393 + 9397/18786. Find t, given that -1/8*t**3 + 1/8*t + j*t**2 - 1/2 = 0. -1, 1, 4 Factor w**2 + 10*w - 76*w + 3*w**2 + 76 - 14*w. 4*(w - 19)*(w - 1) Let b(p) be the first derivative of 3*p**5/5 - 21*p**4/4 + 15*p**3 - 27*p**2/2 + 517. Find h such that b(h) = 0. 0, 1, 3 Solve 0 + g**4 - 7*g**3 + 0 + 11*g**2 - 4 + 7*g + 0*g**4 - 8 = 0 for g. -1, 1, 3, 4 Let x be (4521/4110)/(-1 + (-18)/(-16)). Determine h, given that -2/5*h**2 - 242/5 - x*h = 0. -11 Let n(h) be the first derivative of -h**4/24 - 139*h**3/18 - 1633*h**2/4 - 1587*h/2 + 435. Factor n(l). -(l + 1)*(l + 69)**2/6 Let h be 2 + ((-4)/(-9))/((-22)/(-99)). Find c such that -1/3 - 2/3*c + 2/3*c**2 - 2/3*c**5 - 1/3*c**h + 4/3*c**3 = 0. -1, -1/2, 1 Factor -45 - 5*v + 40*v**2 - 9*v + 54*v**2 - 95*v**2. -(v + 5)*(v + 9) Factor 13 + 13*s + 5*s**2 - 13 - 48*s - 20*s. 5*s*(s - 11) Let i be 754/(-14) - (-8)/(-2). Let v = i + 58. Factor -2/7*u**3 + v*u**4 + 2/7*u - 1/7 + 0*u**2. (u - 1)**3*(u + 1)/7 Let u = 25805/2 - 12901. Factor 3/4*h**4 + 0*h**2 - u*h**3 + 0*h + 0. 3*h**3*(h - 2)/4 Let o be 4/10*70/182. Let z = 37 + -479/13. Factor 0 + z*i**4 - o*i**2 - 2/13*i**3 + 2/13*i. 2*i*(i - 1)**2*(i + 1)/13 Factor -75/8 + 7/8*o**2 - 5/8*o + 1/8*o**3. (o - 3)*(o + 5)**2/8 Let y(j) be the first derivative of 1/12*j**3 - 1/4*j**2 + 3 - 1/160*j**5 + 3*j + 1/96*j**4. Let n(d) be the first derivative of y(d). Let n(t) = 0. What is t? -2, 1, 2 Let r(k) be the third derivative of k**6/160 + k**5/40 - k**4/32 - k**3/4 + 95*k**2. Solve r(x) = 0. -2, -1, 1 Let g(p) be the first derivative of 0*p**2 - 2/9*p**4 - 2/27*p**3 + 0*p - 8/45*p**5 - 27. Let g(q) = 0. Calculate q. -1/2, 0 Let v(m) be the third derivative of 0 + 3*m**2 - 11/4*m**4 - 23/15*m**5 + 0*m - 3/35*m**7 - 1/2*m**6 - 1/168*m**8 - 3*m**3. Let v(x) = 0. Calculate x. -3, -1 Factor -15 - 59*p**2 + 12 - 58 + p**3 - 121*p. (p - 61)*(p + 1)**2 Let z(j) = j**3 + j**2 + j. Let v(c) = c**2 + 4*c. Let l be v(-4). Let w be z(l). Factor 2*i**4 + 2*i**3 + 0*i**3 + i**2 + w*i**2 - i**4. i**2*(i + 1)**2 Let a(x) be the first derivative of -x**5/15 + 2*x**4/3 + x**3 - 548. Determine o so that a(o) = 0. -1, 0, 9 Let f be (-1 - (2 - 3))/(48/168*7). Factor 0 + f*x + 1/4*x**3 + 1/4*x**2. x**2*(x + 1)/4 Let c(q) be the third derivative of -q**6/120 - 3*q**5/40 + 13*q**3/6 + 16*q**2. Let p(f) be the first derivative of c(f). Find t, given that p(t) = 0. -3, 0 Let x(l) be the second derivative of l**4/3 - 10*l**3 + 52*l**2 + 240*l. Let x(h) = 0. What is h? 2, 13 Suppose 15 - 179 = -4*i. Let r = 125/3 - i. Find t such that r*t**3 + 4/3 + 10/3*t + 8/3*t**2 = 0. -2, -1 Let a(m) = -15*m**2 - 22*m + 25. Let b(x) = 26*x**2 + 44*x - 49. Let l(w) = 7*a(w) + 4*b(w). Solve l(i) = 0. 1, 21 Find n, given that -23*n**2 - 5*n**4 - 59*n**2 - 26*n**3 + 2*n**2 - 4*n**3 - 55*n**3 = 0. -16, -1, 0 Suppose -4*t = -6*t + 24. Solve 10 + 128*q - 7*q**3 + t*q**2 - 13*q**3 + 38 = 0. -2, -2/5, 3 Factor -9*w - 3/2*w**4 - 33/2*w**2 + 0 - 9*w**3. -3*w*(w + 1)*(w + 2)*(w + 3)/2 Let i(m) be the third derivative of 1/360*m**6 - 1/72*m**4 + 0 + 1/9*m**3 - 27*m**2 - 1/90*m**5 + 0*m. Find a such that i(a) = 0. -1, 1, 2 Let c(s) be the first derivative of 3/4*s**4 - 5*s**3 + 0*s + 9*s**2 + 45. Factor c(j). 3*j*(j - 3)*(j - 2) Let w be (86/21)/((-132)/198) - -13. Suppose w*b**3 + 600/7*b - 375/7 - 270/7*b**2 - 3/7*b**4 = 0. Calculate b. 1, 5 Let r(j) be the second derivative of j**8/5040 - j**7/360 - j**6/135 - 37*j**3/6 - j - 2. Let c(i) be the second derivative of r(i). Factor c(a). a**2*(a - 8)*(a + 1)/3 Let j(h) be the second derivative of -h**6/90 + 2*h**5/15 - 2*h**4/3 - 5*h**3/2 + 12*h. Let l(s) be the second derivative of j(s). Factor l(x). -4*(x - 2)**2 Let h(p) be the third derivative of -3*p**6/100 + 17*p**5/75 + 2*p**4/15 + 84*p**2. Factor h(a). -2*a*(a - 4)*(9*a + 2)/5 Let p(z) be the first derivative of 4*z**5 - 65*z**4/4 + 40*z**3/3 + 35*z**2/2 - 30*z + 48. Suppose p(d) = 0. What is d? -3/4, 1, 2 Factor -451 - g**2 - 44*g + 3*g**2 - 6*g**2 + 411. -4*(g + 1)*(g + 10) Let b(o) be the third derivative of o**5/100 - 271*o**4/60 - 181*o**3/30 + 124*o**2. Factor b(x). (x - 181)*(3*x + 1)/5 Suppose j - 2 = 1. Suppose -j = -w, 5*d + 2*w - 14 = d. Suppose -15*q**4 + q**d + 14*q**4 - q**5 - q**2 = 0. Calculate q. -1, 0 Let s = -170 - -170. Let n(a) be the third derivative of 1/6*a**4 + 1/105*a**7 + 0 + s*a**3 + 2*a**2 + 0*a + 1/15*a**6 + 1/6*a**5. Let n(x) = 0. Calculate x. -2, -1, 0 Let h be (3/9)/(2 + 34/(-18)). Factor 11*y + 2*y**4 + 12*y**h + 24*y**2 + 13*y - 4*y + 6 + 0*y. 2*(y + 1)**3*(y + 3) Let z(k) = -2*k**2 - 28*k + 32. Let v(n) = -n**2 - n - 2. Let y(c) = 4*v(c) - z(c). Find o, given that y(o) = 0. 2, 10 Let o(p) be the second derivative of -64/9*p**3 - 20/3*p**2 - 19/6*p**4 - 16*p + 0 - 3/10*p**5. Determine d so that o(d) = 0. -5, -2/3 Let n = -3/257 + 557/25700. Let d(u) be the third derivative of -1/40*u**4 + 0*u**3 + 2*u**2 + 0 + 0*u - n*u**5. Let d(s) = 0. Calculate s. -1, 0 Find s such that 4/15*s - 4/15*s**4 + 14/15*s**3 - 14/15*s**2 + 0 = 0. 0, 1/2, 1, 2 Factor 74*c + 50*c - 13411*c**2 - 64 + 13419*c**2. 4*(c + 16)*(2*c - 1) Let n = 69 - 9. Factor 121 - n - 4*h**3 - 61 + 12*h**2. -4*h**2*(h - 3) Suppose 3396*j = 3388*j. Factor -3/4*s**4 - 3/4*s + 3/4*s**2 + j + 3/4*s**3. -3*s*(s - 1)**2*(s + 1)/4 Let h(c) be the third derivative of 1/3*c**5 - 7/30*c**6 + 0*c + 8/3*c**4 + 10*c**2 + 8/3*c**3 + 0. What is f in h(f) = 0? -1, -2/7, 2 Suppose 5*f - 5 = 0, 54*a - 3*f - 7 = 49*a. Let i(o) be the second derivative of -4/15*o**3 + 0 + 1/30*o**4 - 7*o + 4/5*o**a. Solve i(l) = 0 for l. 2 Let c(m) be the second derivative of -10/3*m**4 + 0 + 1/8*m**5 + 0*m**2 + 80/3*m**3 + 17*m. Factor c(p). 5*p*(p - 8)**2/2 Let z be -1*2/(-2) - (-75)/(-90). Suppose 3*x = -2*r + 18, -3*r = -4*x + 2 + 5. Factor -1/6*y + 0*y**r + 0 + 1/3*y**4 + z*y**5 - 1/3*y**2. y*(y - 1)*(y + 1)**3/6 Let y be 5*(26/30 + (-16)/(-120)). Let p(l) be the first derivative of 2 + 0*l + 0*l**4 + 0*l**2 - l**3 + 3/5*l**y. Factor p(d). 3*d**2*(d - 1)*(d + 1) Let h(b) = -b - 19. Let a be h(-21). Let o(k) be the third derivative of -1/60*k**5 + 0 + 0*k - 4*k**a + 1/24*k**4 - 1/120*k**6 + 1/6*k**3. Factor o(w). -(w - 1)*(w + 1)**2 Let p(o) be the second derivative of 1/10*o**3 + 9/100*o**5 + 0*o**2 - 1/50*o**6 + 0 - 3/20*o**4 - o. Factor p(y). -3*y*(y - 1)**3/5 Let c(f) be the first derivative of 5*f**6/6 - 5*f**5 + 35*f**4/4 + 5*f**3/3 - 20*f**2 + 20*f - 205. What is b in c(b) = 0? -1, 1, 2 Let m(q) be the third derivative of q**7/63 + 7*q**6/60 + 2*q**5/9 - q**4/3 - 16*q**3/9 + 208*q**2. Determine a, given that m(a) = 0. -2, -1, 4/5 Let a(c) be the third derivative of 5*c**8/84 - 3*c**7/14 + c**6/12 + 2*c**5/3 - 5*c**4/4 + 5*c**3/6 + 256*c**2. Suppose a(f) = 0. Calculate f. -1, 1/4, 1 Let h(n) be the first derivative of 23 + 0*n + 2/27*n**3 + 2/9*n**2. Factor h(s). 2*s*(s + 2)/9 Factor -3/4*t**2 + 0*t + 3. -3*(t - 2)*(t + 2)/4 Let f(w) be the second derivative of -w**6/3 + 4*w**5/5 + 2*w**4/3 - 82*w. Factor f(m). -2*m**2*(m - 2)*(5*m + 2) Factor 8/13 + 1226/13*z**2 + 1682/13*z**4 - 3132/13*z**3 + 216/13*z. 2*(z - 1)**2*(29*z + 2)**2/13 Let j(a) be the second derivative of a**5/135 - a**4/6 - 20*a**3/27 - a**2 - 21*a. Let v(p) be the first derivative of j(p). Factor v(h). 4*(h - 10)*(h + 1)/9 Let u(c) be the third derivative of c**5/120 - c**4/24 - 5*c**3/4 + 37*c**2 + 5. Suppose u(o) = 0. Calculate o. -3, 5 Suppose -18*x - 5*x = -13*x + 8*x. Factor x - 6/7*u + 2/7*u**3 + 4/7*u**2. 2*u*(u - 1)*(u + 3)/7 Let q = 1604 - 1601. Let k(i) be the second derivative of 0*i**2 + 0 - 2/15*i**6 + 1/3*i**4 - 1/5*i**5 - 3*i + 2/3*i**q. Suppose k(s) = 0. Calculate s. -1, 0, 1 Let r(p) be the second derivative of p**4/42 + 2*p**3/7 + 9*p**2/7 + 140*p. Determine s, given that r(s) = 0. -3 Let t(f) be the third derivative of -f**5/100 - 27*f**4/40 - 6*f**2 - 3*f. Factor t(i). -3*i*(i + 27)/5 Solve -6
{ "pile_set_name": "DM Mathematics" }
ppose 10*f = 207 + 1193. Does 28 divide f? True Suppose -3*u + 9 = -18. Let s be u/36 + (-11)/(-4). Suppose -s*d - d = -96. Does 8 divide d? True Suppose 3*d = -3*z + 144, -2*d + 0*z = -4*z - 78. Is d a multiple of 12? False Suppose 2*l - 9 - 3 = 0. Let z be (2 - -1) + -4 + 4. Does 5 divide z/(1*3/l)? False Let a(p) = p**3 - 4*p**2 - 2*p + 7. Suppose -10 = z + z, -4*c = 4*z. Suppose -b = 3*h - c*b + 5, 0 = -2*h - 5*b + 35. Is 22 a factor of a(h)? True Let v = 10 + -12. Let c(r) = 18*r**2 + 1. Does 17 divide c(v)? False Let z be (-1)/(-1 - (-288)/291). Suppose -215 = -5*i + 4*a, -4*a = 2*i + i - z. Is i a multiple of 16? False Is 5 a factor of 1 - -2 - (6 + -6 + -17)? True Let q = -33 - -56. Does 16 divide q? False Suppose -g = -5*d + 18, 0 = -2*g + 3*d + 2*d - 11. Suppose 3*r = 1 + 5. Suppose -51 = -r*p - g. Is 10 a factor of p? False Is 11 a factor of (427/(-122))/(1 - (-14)/(-12))? False Let m = 146 - 24. Is m a multiple of 20? False Is 31 a factor of -4 + 6 + 1398/6? False Let t(k) = -k**3 + k**2. Let i(g) = -g**3 - g. Let p(a) = 4*i(a) - 5*t(a). Let d = -41 - -47. Is p(d) a multiple of 4? True Suppose 0 = -5*y + q, -5*y + 4*q = -10*y. Is 6 a factor of -3 - -28 - y - 0? False Is 22/(-143) + 732/26 a multiple of 7? True Let l = 43 - 67. Let m = l - -36. Does 4 divide m? True Suppose -26 = -4*h - 10. Suppose 2*o + 2 = h*v, -7*o = -4*v - 2*o + 17. Is (47 + v)*6/10 a multiple of 9? True Let n(y) = 71*y**2 - y + 1. Let a be n(1). Suppose -v + a = -7. Is 21 a factor of v? False Let x be 2*(117/2 + -4). Let s = -76 + x. Does 12 divide s? False Let u(f) = f - 4*f**3 - 2*f**2 + 3*f**3 + 3 - 1. Is u(-4) a multiple of 20? False Let i = 107 + -57. Does 10 divide i? True Let a be (8 - 1)*(-6 - -4). Let k = a + 21. Does 7 divide k? True Let v = -2 - -2. Suppose v = 5*a + 3*h + 12, -3*a + 0*h = 5*h + 4. Is 18 a factor of 122/(a - (-10)/2)? False Suppose -2*r = -2*a + 2*r + 148, -4*a + 2*r + 296 = 0. Let u = -34 + a. Is u a multiple of 22? False Suppose 0 = -s - 3 - 7. Let n be s/(-3)*(-3 - -6). Suppose -a + n = 4*a, -l + 26 = 3*a. Is l a multiple of 10? True Suppose 77 + 108 = 5*j. Let q = j + -22. Suppose 5*z - 2*z = 3*n - q, 5*n + 3*z - 17 = 0. Is n even? True Let p(k) be the first derivative of 5/3*k**3 + 1/2*k**2 + k - 2. Is p(2) a multiple of 8? False Let z(q) = -5*q - 19. Let y(f) = 2*f + 9. Let t(x) = -13*y(x) - 6*z(x). Is t(10) a multiple of 22? False Suppose -4 = 2*h - 6, -4*o = -2*h + 58. Let f = 23 + o. Does 2 divide f? False Let o(y) = 7*y - 2. Let m be o(4). Suppose -m = -2*j - 4*k, k - 24 = -3*j - j. Is 2 a factor of j? False Let q(d) = 9 + 0*d + 2*d + d**2 + 5*d. Is 17 a factor of q(-8)? True Let h be (-1)/((-2)/10) - -1. Let z be (-2)/6 + 20/h. Suppose 5*m - 22 = z*m. Is 11 a factor of m? True Let t(j) = j + 14. Let c be t(-9). Suppose 2*g - 3*h - 127 = -15, -2*g - 3*h = -100. Suppose b + 3*b = 3*p + 61, c*p = -3*b + g. Is 16 a factor of b? True Is (66/(-10))/((-17)/85) a multiple of 11? True Suppose 9*x - 7*x = l + 53, -3*l + 93 = 3*x. Is 7 a factor of x? True Is 29 a factor of 25/125 + 34/(-20)*-34? True Suppose 2*h + 22 = 3*h. Suppose r = -2*r - 6, 2*a - r = h. Does 7 divide a? False Suppose 5*v + 47 = 3*y - 80, 4*y + 3*v - 121 = 0. Let q = -17 + y. Is 6 a factor of q? False Let q(s) = s**2 + 3*s**3 - 4*s**3 + 3 - 3*s**3 - 2*s + 6*s**3. Does 19 divide q(2)? True Let x be -49 - (3/(-3) - 0). Let i = x + -51. Does 12 divide (4/12)/((-1)/i)? False Suppose 0 = 3*w + 3*n - 45, n = -6 + 3. Is 24 a factor of ((-24)/(-9))/(2/w)? True Let i(p) = -p**3 - p + 1. Let f be i(0). Let r = f - -3. Suppose -r*s = -s - 6. Is s a multiple of 2? True Suppose -c = 2*c + 18. Let k be 24/(-9) - (-4)/6. Does 12 divide k/((-4)/c) - -27? True Suppose -4*d = 3*q - 247, -3*q - 163 = -5*q - d. Does 29 divide q? False Let f = -3 - -5. Suppose f*s - 124 = -3*r + 17, s - 93 = -2*r. Is r a multiple of 15? True Let o = 499 + -346. Does 6 divide o? False Let c = 3 - 0. Suppose -2*m + 220 = -0*m + 4*l, -4*m - 3*l + 425 = 0. Suppose -c*g + 43 = -m. Is g a multiple of 18? False Let r(z) = z**3 + 3*z**2 - z - 1. Let w be r(2). Let u = w - 12. Suppose 2*q = -u + 37. Does 8 divide q? True Let s(r) = r**3 - 3*r**2 + 2*r. Let b = -5 - -7. Let h be s(b). Suppose 5*g = -2*a + 70, -4*g + 12 + 4 = h. Is a a multiple of 16? False Suppose 0 = t + 2*t - 9, y + 3*t - 39 = 0. Suppose 2 = 2*z - y. Does 16 divide z? True Let z(m) = -m**3 + 8*m**2 + 8*m - 8. Does 14 divide z(8)? True Suppose 34 = 3*w + 7. Let q = w + 22. Suppose 5*u - q - 89 = 0. Is 12 a factor of u? True Suppose -24 = -4*n - 8. Suppose -n*p - p + 75 = 5*y, -5*y = -3*p - 67. Does 11 divide y? False Let g = -27 - -37. Is 5 a factor of g? True Let c(n) be the second derivative of n**3/3 - 3*n**2 - n. Let x be c(6). Suppose 4*l - 4*z = 68, 4*z = -4*l + x*z + 76. Is l a multiple of 21? True Let m(s) be the first derivative of -s**4/4 + 7*s**3/3 + 5*s**2 - 7*s + 1. Suppose 15 = 4*v - 17. Is 9 a factor of m(v)? True Suppose -3*m + 128 = -2*j, 3*m - 75 = -4*j + 83. Let z be (m/(-3))/(5/15). Let x = z - -68. Is x a multiple of 8? False Let z = 21 - 27. Suppose 0*h = 2*h - 38. Let c = h + z. Does 13 divide c? True Suppose -3*s + 30 = 3. Suppose 1 = 5*u - t - s, -2*u - 2*t - 8 = 0. Is 10 a factor of (2 - -7) + (u - 0)? True Let b(j) be the first derivative of -j**4/4 + j**2/2 + 72*j - 2. Let u be b(0). Suppose 0*r = 3*r - u. Is 21 a factor of r? False Suppose -31 = -a + 2*f, -a + 3 = 2*f - 8. Is a a multiple of 5? False Is 13 a factor of (6/(-8) - (-69)/(-4))*-1? False Is 55 a factor of (2 - -53)*(0 + 5)? True Suppose -27 = 2*w + s + 4*s, 0 = 5*s - 25. Let z = -8 - w. Is 6 a factor of z? True Let k be 12*(-4)/((-8)/11). Let r = k - 36. Is r a multiple of 17? False Let c be 2*-1*40/(-16). Suppose -304 = -4*a + 5*h, -c = -2*a - 5*h + 147. Does 16 divide a? False Let r = -14 - -34. Suppose 3*v = 2*v + r. Let q = v - 10. Is q a multiple of 10? True Suppose 5*l = -d + 11, -5*d - 8 = 5*l - l. Let i(o) = 2*o**l + 4*o**2 - 3 + 3*o + o - 8*o**2. Is i(3) a multiple of 9? True Let u(b) be the first derivative of 3*b**3 - b**2/2 - 2*b - 4. Is u(2) a multiple of 8? True Is 1 - 4 - (-3 + -14) a multiple of 6? False Is 4 a factor of (-10)/25 - 126/(-15)? True Let d be (6/(-10))/(2/(-10)). Suppose o = -d*o. Suppose -2*r - 130 = -5*h + r, -2*h + r + 51 = o. Is 11 a factor of h? False Let k(v) = v**3 - 10*v**2 + 12*v - 15. Is k(10) a multiple of 15? True Suppose -a = 2*j + j + 54, -j + 2*a - 18 = 0. Let p be 1*3 - (j - -4). Let l = p + -1. Is l a multiple of 8? True Let u(h) = 3*h - 8. Let q(y) = 0*y**2 - 3*y**2 + y**2 + 8*y + y**2 + 6. Let o be q(8). Does 8 divide u(o)? False Let r(s) = s**3 - 5*s**2 + 3*s + 5. Let n be r(4). Is 13 a factor of (-1 - n)*65/(-2)? True Does 17 divide -1 + 2/9 + 592/9? False Let n(h) = h**3 + 5*h**2 - 8*h - 9. Let g be n(-6). Suppose 132 = g*d + d. Is d a multiple of 12? False Suppose 5*x + t - 504 = 0, -4*x - 2*t + 408 = -0*x. Suppose -2*s = q - 5*q - x, 5*q = -10. Suppose 4*l - s = -3*g - 5, 4*l - 20 = 0. Is g a multiple of 2? False Let f(b) = -3*b + 1 + 4*b + b + 34*b**2 - b. Is 17 a factor of f(-1)? True Is ((-108)/(-63))/(4/98) a multiple of 8? False Let s be (-9)/3 - (2 - 115). Is 18 a factor of (-6)/(s/38 - 3)? False Let w(u) = u**3 - u**2 - 4. Let f be (-3)/(-6)*-3*-2. Does 7 divide w(f)? True Let z be (-16 - (-3)/(-3)) + 1. Let u = z - -39. Is u a multiple of 14? False Suppose 34*k - 37*k + 1092 = 0. Does 43 divide k? False Suppose -6*a + 605 = -445. Does 9 divide a? False Suppose -5*j + 235 + 140 = 0. Is 10 a factor of j? False Let z(f) = 2*f**3 - 3*f**2 + 2*f - 1. Let q be z(2). Let v = q + 1. Is 8 a factor of v? True Is (826/(-42))/(0 + 2/(-6)) a multiple of 26? False Let n(i) = 5*i**2 - 4*i + 6. Let l be n(4). Does 2 divide (-20)/l - (-23)/7? False Is (-92)/(-8) + (-4)/8 a multiple of 8? False Let x be 1/3 - (-115)/(-3). Let t = -27 - x. Is 9 a factor of t? False Let z be (-2)/(-4) - (-46)/4. Suppose 0 = h - 0*h - z. Let i = 44 - h. Is i a multiple of 10? False Let n = -12 + 19. Is n a multiple of 7? True Let h(n) = -n**2 + 6*n + 7. Let l be h(7). Suppose -x + l*x + 100 = 5*p, 5*p - 2*x - 100 = 0. Suppose -6*i + i = -u + 6, 5*i = p. Is u a multiple of 13? True Let t(g) be the third derivative of 7*g**4/
{ "pile_set_name": "DM Mathematics" }
the third derivative of d**6/1260 + 23*d**5/210 + 15*d**4/28 + 101*d**3/3 + 4*d**2 + 3. Let k(v) be the first derivative of r(v). Factor k(z). 2*(z + 1)*(z + 45)/7 Let m(x) be the second derivative of 2*x**6/45 - 12*x**5/5 + 358*x**4/9 - 136*x**3 + 578*x**2/3 - 5*x - 53. Determine q, given that m(q) = 0. 1, 17 Solve 5*b**2 - 5*b**3 + 16*b**2 + 74*b + 11*b + 75 - 16*b**2 = 0. -3, -1, 5 Let w be (-13)/(572/24) + 1552/264. Solve 8/3*y + w - 20/3*y**2 + 2*y**3 = 0. -2/3, 2 Let w = -385 + 587. Suppose -4*i - w = -4*c + i, -5*i - 154 = -3*c. Let -211*q**3 - 112*q**2 - c*q**4 - 92*q**4 - 16*q - 10*q**3 - 15*q**3 = 0. What is q? -1, -2/5, -2/7, 0 Let d = 7 + -5. Let r = 2884 + -2789. Factor 53*h**2 - r*h**d + 45*h**2. 3*h**2 Let z(d) be the second derivative of -5/6*d**4 + 9/4*d**5 + 0*d**3 - 2*d**6 + 25/42*d**7 + 32*d + 0*d**2 + 0. Suppose z(g) = 0. What is g? 0, 2/5, 1 Suppose 0 = -3*l + 2*l + 16. Factor 192 - 11*s + l*s + 54*s - 11*s + 3*s**2. 3*(s + 8)**2 Let t(y) be the third derivative of y**5/15 + 35*y**4/3 - 1274*y**3 - y**2 - 195*y - 3. Suppose t(l) = 0. Calculate l. -91, 21 Let n be (26/(-39)*(-10)/(-9))/((-33)/99). Find s, given that -2*s**2 - 2/9 + n*s = 0. 1/9, 1 Let m be ((-7052)/287)/43*(-7)/6. Factor -2/3*j + 4/3*j**3 - 2/3 - m*j**5 - 2/3*j**4 + 4/3*j**2. -2*(j - 1)**2*(j + 1)**3/3 Let s = -99581 - -99586. Determine o so that -o**s + 0*o - 5/4*o**4 + 0 + 0*o**2 - 1/4*o**3 = 0. -1, -1/4, 0 Let f(b) be the second derivative of -b**6/180 - b**5/24 + 13*b**4/72 - 7*b**3/36 + 10*b + 6. Find q, given that f(q) = 0. -7, 0, 1 Factor 1314/5*j**2 - 3036/5*j + 132/5*j**3 + 3/5*j**4 + 1587/5. 3*(j - 1)**2*(j + 23)**2/5 Let q(h) be the first derivative of 0*h**2 + 0*h + 5/3*h**3 + 5/2*h**4 + h**5 - 22. Find p, given that q(p) = 0. -1, 0 Let w = 18131/2 + -9065. Let s(t) be the first derivative of 3/4*t**3 - 1/20*t**5 + 17 + 0*t**4 - w*t**2 - 3*t. Solve s(g) = 0 for g. -3, -1, 2 Suppose 72*n - 436 + 4 = -4*n - 140*n. Factor 3/7*s**n + 78/7*s + 0. 3*s*(s + 26)/7 Let z(r) be the third derivative of -27*r**6/10 + 1284*r**5 + 4283*r**4/6 + 476*r**3/3 + 2*r**2 + 28*r + 7. Determine k, given that z(k) = 0. -1/9, 238 Let f(a) be the third derivative of -a**5/15 - a**4 + 14*a**3/3 - 467*a**2. Factor f(n). -4*(n - 1)*(n + 7) Let b(v) be the third derivative of -1/100*v**5 - 4/5*v**3 - 3/20*v**4 + 7*v + 3*v**2 + 0. Solve b(f) = 0 for f. -4, -2 Solve 0 + 5/4*x**2 + 195/4*x = 0. -39, 0 Let k(n) be the second derivative of -n**4/24 + 85*n**3/12 - 273*n**2/2 - 3*n + 127. Factor k(o). -(o - 78)*(o - 7)/2 Factor 1515/2*v + 3/2*v**2 - 759. 3*(v - 1)*(v + 506)/2 Let v(h) be the third derivative of h**6/20 + 607*h**5/20 + 303*h**4/8 + 383*h**2. Let v(t) = 0. What is t? -303, -1/2, 0 Let n(r) = -3*r**2 + 15836*r - 12561127. Let p(i) = 23*i**2 - 126681*i + 100489017. Let d(w) = 17*n(w) + 2*p(w). Suppose d(l) = 0. What is l? 1585 Suppose -3111*d + 3086*d = -50. Factor -2 + 2/3*o + 2*o**d - 2/3*o**3. -2*(o - 3)*(o - 1)*(o + 1)/3 Find d such that 220/17*d + 2/17*d**2 + 218/17 = 0. -109, -1 Let m(v) be the second derivative of -v**5/10 + 73*v**4/3 - 6097*v**3/3 + 53868*v**2 - 4310*v. Suppose m(f) = 0. Calculate f. 12, 67 Let u(s) = 8*s - 54. Let j be u(7). Factor -18 - 2048*k**4 + 508*k**2 - 348*k - 41*k**2 - 1765*k**j + 3712*k**3. -2*(k - 1)**2*(32*k + 3)**2 Factor -1106/5 + 146/5*a**2 + 2/5*a**3 - 962/5*a. 2*(a - 7)*(a + 1)*(a + 79)/5 Let w be 0/(-13)*(-2)/(-4) - -4. Let h(z) be the first derivative of -z**w + 0*z + 0*z**2 + 4/3*z**3 - 2. Factor h(c). -4*c**2*(c - 1) Let y(o) be the second derivative of 0*o**3 - 1/90*o**5 + 1/72*o**4 + 1/360*o**6 + 0 + 1/2*o**2 - 8*o. Let h(a) be the first derivative of y(a). Factor h(u). u*(u - 1)**2/3 Let m = 730/873 - 4237/6111. Factor 1/7*w + 0 + 2/7*w**2 + m*w**3. w*(w + 1)**2/7 Let b(j) be the first derivative of 2*j**3 - 123 - 54*j**2 + 21*j + 11*j - 2*j**2 + 7*j**2. Solve b(n) = 0. 1/3, 16 Let l(v) be the third derivative of -v**6/120 - 19*v**5/60 + 145*v**4/24 - 125*v**3/6 - 1422*v**2. Determine q, given that l(q) = 0. -25, 1, 5 Suppose 39*m + 39*m - 4*m = 222. Let p(l) be the first derivative of -l**2 + 8*l - 1/3*l**m - 11. Factor p(k). -(k - 2)*(k + 4) Let j(t) be the first derivative of -4*t**4 - 64/3*t**3 + 4*t**5 + 64*t**2 - 64*t - 12 - 2/3*t**6. Factor j(x). -4*(x - 2)**3*(x - 1)*(x + 2) Let g(s) be the second derivative of 1/90*s**6 + 49/36*s**4 + 122*s + 0 + 1/4*s**5 + 19/6*s**3 + 11/3*s**2. What is u in g(u) = 0? -11, -2, -1 Suppose -11*y + 44*y + 100*y + 55*y = 5*y. Determine i so that 2/5*i**2 - 8/5*i**4 - 6/5*i**3 + y + 0*i = 0. -1, 0, 1/4 Let w be (-42904)/(-5190) - (14 - -2)*3/6. Let m(p) be the first derivative of 27 + 16/9*p**3 + 0*p**2 - 1/9*p**6 + 2/3*p**4 + 0*p - w*p**5. Factor m(i). -2*i**2*(i - 2)*(i + 2)**2/3 Solve 9/5*w**2 - 36/5 - 32*w = 0 for w. -2/9, 18 Let l(s) be the third derivative of -s**5/15 - 215*s**4/3 - 1094*s**2. Find y, given that l(y) = 0. -430, 0 Let c(u) = -15*u**3 - 2*u**2 - 14*u - 11. Let p be c(-1). Suppose 10 = 5*i - 10. What is s in 3*s**4 - 2*s**4 - 5*s**i + 12*s**3 - p*s = 0? -1, 0, 2 Let h(d) be the second derivative of -7/12*d**3 + 7/40*d**5 + 1/4*d**2 - 41*d - 1/24*d**4 + 0. Find c such that h(c) = 0. -1, 1/7, 1 Let q(b) be the first derivative of 0*b + 59 - 4/3*b**3 + 26*b**2. Factor q(n). -4*n*(n - 13) Suppose 53*y - 12832 = -12726. Suppose 1/2*q**3 - 9 + 2*q**y - 3/2*q = 0. Calculate q. -3, 2 Let v(b) be the first derivative of -2*b**3/9 - 436*b**2 - 5758. Suppose v(t) = 0. Calculate t. -1308, 0 Let s(n) be the second derivative of 3/4*n**3 + 1/20*n**6 + 0 + 0*n**2 + 42*n - 1/8*n**4 - 9/40*n**5. Factor s(b). 3*b*(b - 3)*(b - 1)*(b + 1)/2 Let u be (-12)/30 - ((-111)/15 + 2). Factor -13983*h - 13039*h - 3465*h + 3550*h - 732*h**2 - 10658 - u*h**3. -(h + 73)**2*(5*h + 2) Factor -216/7 - 150/7*i**2 + 316/7*i + 3*i**3 + 1/7*i**4. (i - 2)**3*(i + 27)/7 Factor 0*p**2 - 6*p**3 - 1/6*p**5 + 13/6*p**4 + 0 + 0*p. -p**3*(p - 9)*(p - 4)/6 Let m(v) = -v**3 + 20*v**2 - 27*v + 154. Let f be m(19). Let g(o) be the first derivative of 6*o**f + 0*o + 8/3*o**3 + 7 - o**4. Factor g(i). -4*i*(i - 3)*(i + 1) Let c be (-2412)/(-21440) + 3/16. Let r(o) be the first derivative of 24 + c*o**2 + 0*o + 3/20*o**4 + 2/5*o**3. Factor r(y). 3*y*(y + 1)**2/5 Suppose 314928 - 1296*y + 4/3*y**2 = 0. What is y? 486 Let n(a) be the first derivative of -2*a**3/11 + 210*a**2/11 - 1206*a/11 + 5251. Find i such that n(i) = 0. 3, 67 Factor -1198*a - 128 + 5 - 59 + a**2 + 1109*a. (a - 91)*(a + 2) Let k(l) = 2*l**3 + 21*l**2 + 9*l - 9. Let w be k(-10). Let t be (w/4)/(220/528). Solve 0 + 6/5*h**2 + 3/5*h**3 + t*h = 0 for h. -1, 0 Let y(f) be the second derivative of -f**4/48 - 145*f**3/24 + 4194*f. Factor y(i). -i*(i + 145)/4 Let t(c) be the first derivative of -54 - 961/2*c - 1/6*c**3 - 31/2*c**2. Factor t(m). -(m + 31)**2/2 Factor -317394/5*n + 154551/5*n**2 + 2748/5*n**3 + 12/5*n**4 + 160083/5. 3*(n - 1)**2*(2*n + 231)**2/5 Let j(s) = 6*s**3 + 268*s**2 + 166*s - 90. Let n(g) = -6*g**3 - 266*g**2 - 166*g + 89. Let l(q) = -5*j(q) - 6*n(q). Solve l(m) = 0. -42, -1, 1/3 Let q(r) = -31*r**2 + 107 + 11*r + 2*r**3 - 13*r**3 - 88. Let v(m) = 23*m**3 + 63*m**2 - 23*m - 37. Let w(k) = -13*q(k) - 6*v(k). Factor w(d). 5*(d - 1)*(d + 1)*(d + 5) Let p be -17 + 17 - 2/(-8). Let o = -211/4 + 53. Solve -o*a**2 + p*a + 0 = 0 for a. 0, 1 Suppose 4*m - 4 = 0, -3*m + 8 + 10 = 5*a. Factor 0*d**5 - 80*d - 125*d**2 + 8*d**5 - 6 - 14 - 35*d**4 - 13*d**5 - 95*d**a. -5*(d + 1)**3*(d + 2)**2 Let p = 33077/21 - 1575. Let w(h) be the second derivative of 0*h**2 - p*h**3 + 0 - 1/21*h**4 + 27*h. Factor w(j). -4*j*(j + 1)/7 Find n, given that 47916 + 2178*n + 33*n**2 + 1/6*n**3 = 0. -66 Let w(c) be the third derivative of c**7/42 - 3*c**6 + 851*c**5/6 - 3045*c**4 + 206045*c**3/6 - 5181*c**2. Factor w(x). 5*(x - 29)**2*(x - 7)**2 Let c(f) be the first derivative of 96/7*f**2 - 25/21*f**6 + 36 + 38/7*f**4 - 18/7*f**5 + 352/21*f**3 + 32/7*f. Let c(h) = 0. What is h? -2, -1, -2/5, 2 Let w = -6742/45 - -1352/9. Let d(c) be the first derivative of w*c**3 + 0*c + 0*c**2 - 1/10*c**4 - 11. Factor d(i). -2*i**2*(i - 3)/5 Suppose -2*m - 5*a + 19 = 0, m = -4*m - a + 36. Suppose 3*u - 8*u = m*u. Factor 0*k + 0*k**2 + 2/9*k**3 + u. 2*k**3/9 Let x(o) be the th
{ "pile_set_name": "DM Mathematics" }
, -4*o = -2*g. Solve -3*i = 2*s + o, 4*i + 7*s = 3*s - 4 for i. 0 Let q = 29 - 23. Solve q = -2*h, -4*l + l = -2*h - 3 for l. -1 Let b = 4 - 7. Let j(m) = -m**3 - 3*m**2 + 2. Let f be j(b). Suppose -4*x + 1 + 15 = -f*i, 4*x - 14 = i. Solve -c = x*v - 4 - 2, 0 = -3*v + 4*c - 9 for v. 1 Let i = 2 + -2. Solve 2*j + 1 + i = -r, 1 = 3*j - r for j. 0 Suppose t + 3*t + 84 = -4*v, 4*v + 108 = -5*t. Let p = t - -26. Solve -r = p*w - 9, 0*w - 5*w + r = -26 for w. 5 Suppose -5*a + 2 + 8 = 0. Let k be 2/10 - 2496/(-20). Suppose -4*g + a*g - 5*d + 50 = 0, 5*g = 3*d + k. Solve 5*h = -g, o + 2*h + 12 = -0*h for o. -2 Suppose 3*o + 35 = 2*g, -3*g + 5*o = -2*g - 21. Solve 0 = -n + 4*h - g, -2*h + 4 = -4*n - 6*h for n. -4 Let k be (99/(-22))/((-3)/8). Solve 7 = -5*r - t - 6, k = -4*t for r. -2 Suppose 0 = 2*j - 0*j + 4. Let l be 2 + (-12 - 1*j). Let h = 11 + l. Solve -h*f + 5*v = -12, f + 0*f - 4 = 5*v for f. 4 Suppose 2*n - n = 16. Solve 3*a - 2*o - n = 5*a, 0 = -o - 4 for a. -4 Let p(x) = 6*x + 2 + 9*x - 14*x - 5. Let i be p(6). Let g = 7 - 4. Solve -3*o - 6 = u + g, 0 = 3*u - i*o + 3 for u. -3 Let t = -3 - 2. Let h = 18 - 25. Let y = t - h. Solve -5*b - 18 = 3*g, -3*g - 10 - y = 3*b for b. -3 Let i be (-2)/5*(-53 + 3). Solve k - 5*c = 15, -k - k + 5*c = -i for k. 5 Let a(q) = q - 2. Let z be a(6). Suppose 4*t + o = t + 2, 2*t + z = 2*o. Solve d - 5*k - 23 = t, 3*d - k + 1 = -0*d for d. -2 Let m(o) = -7*o**2 - 15*o - 13. Let l(t) = -6*t**2 - 15*t - 12. Let i(f) = -6*l(f) + 5*m(f). Let v be i(-16). Solve 0 = -y - 4*h - 8, -h - v = 5*y + 2*h for y. -4 Let p be (-9)/(-6)*(1 - -1). Suppose 0 = p*w + b - 45, 3*b + b + 16 = 2*w. Let m be 74/14 - 4/w. Solve -4*d = -d + a + 13, m*d = 5*a - 15 for d. -4 Let r be (2/6)/(9/81). Solve o - 17 + 5 = -3*s, -4*s = r*o - 16 for s. 4 Suppose 0 = -2*a + 8 + 2. Let o be -2 + ((-1)/1 - -63). Let v be (8/(-20))/((-3)/o). Solve 2*n = a*w, -w = 4*n + 14 + v for n. -5 Let d be 216/21 + (-2)/7. Let b(s) = -s**2 + 11*s - 8. Let o be b(d). Solve -5*r - 10 = 4*y, -5*y + o*r + 2 = -2 for y. 0 Let d = 168 - 139. Solve -2*k + m - 5*m - 12 = 0, 0 = -k + 5*m + d for k. 4 Suppose 5*x = 2*x + 15. Let k = 18 + -7. Suppose 3*o - 77 + k = 0. Solve 2*v + 9 = x*w + 39, 3*w = 2*v - o for v. 5 Let y be ((-2)/(-4))/((-2)/24). Let m(d) = -d**3 - 5*d**2 + 6*d + 3. Let s be m(y). Suppose -5*h + 125 = -0*h. Solve 0 = -5*j - h, -s*j - 4 = -4*n + 11 for n. 0 Let f = 7 + -5. Solve -4*p + 17 = m - 4*m, -8 = -p + f*m for p. 2 Suppose -18 = -i + 3*i. Let j = 9 + i. Solve j*a = -3*m - 2*a - 11, 4 = 2*a for m. -5 Let u be (-190)/(-6)*(11 - 8). Suppose 5*k + 4*t - 3*t - 127 = 0, -3*t = 4*k - u. Solve 0 = -i - 3*y - 8, -4*i - k = i + y for i. -5 Suppose 7 + 1 = 2*p. Suppose -28 = -p*t + r - 2*r, r + 4 = 0. Solve w = 2*s + 7, -4*s - t = -3*s + 4*w for s. -4 Suppose -a + 4*h - 20 + 64 = 0, 5 = -h. Let s = a + -16. Suppose s*f - 4*f - 8 = 0. Solve -f*z - m = m, z = -3*m - 2 for z. 1 Suppose -k = -2*k + 2. Suppose -s + 5 = -0*s. Suppose s*u = -4*p + 2*p + 18, u - 14 = -3*p. Solve -5*b + p*y = 12, 4*b - k = 3*y - 12 for b. -4 Let c = 11 - 7. Suppose -10*z - 47 + 47 = 0. Solve 4*k - p + 10 = z, 4*k = -c*p - 6 - 14 for k. -3 Suppose -8 + 23 = 5*r. Solve -v = -2*d - 2*d + r, 2*d = 5*v - 21 for v. 5 Let k be (-32)/(-56) - 48/(-14). Solve -5*g = k*c - 2*g - 6, 8 = -4*g for c. 3 Let a = -30 - -18. Let o be (-16)/6*18/a. Solve 25 = -l - o*i, 0 = -0*i - i - 5 for l. -5 Suppose -j + 12 = -0*j - 3*a, j + 2*a = 27. Solve -5*k = -4*o - j, 22 + 6 = 5*k + 3*o for k. 5 Let b = 29 - 49. Let i = b - -23. Solve -5*y + 30 = -i*n - 2*n, -3*y = 5*n + 6 for n. -3 Let y(d) = -d**3 + 7*d**2 - 7*d + 9. Let f be y(6). Suppose -3*b + 5 = 29. Let k be (f/(-2))/(3/b). Solve -v = w - 0*w - k, -2 = -3*v + 2*w for v. 2 Let f be (3 - 1/1) + 2. Solve w + f*v + 14 = -w, 0 = -4*w - 3*v - 8 for w. 1 Suppose -w - z - 16 = 0, 0*w + 49 = -4*w - z. Let o = -11 - w. Let k = 7 + -2. Solve -4*t - 2*h + 10 = o, 11 = t + k*h - 14 for t. 0 Suppose 4*r + 8 = 0, 5*g - 14 + 2 = r. Solve -g*n + 22 = -7*n + 4*v, -2*n - 5*v = -11 for n. -2 Suppose 2*h = 5*h + 69. Let r = 36 + h. Let t = r + -7. Solve -v + 4 = -n, 3*v - t = -0 for n. -2 Let i = 16 - 10. Let v = i - 3. Solve -v*m = z - 3, 0*z + 5*m = -z + 7 for z. -3 Suppose 19 = 4*a + 7. Solve 5*f = -j + 4, a*f + 20 = 4*j + j for f. 0 Suppose -4*u + 31 = -5*o + 8*o, 5*u = 4*o. Solve -6 = 2*z, -u*l - z + 3*z = -26 for l. 5 Let l = 3 - -4. Solve 0*q - 26 = q + 5*x, 0 = 3*q - 2*x - l for q. -1 Let r(n) = 6*n + 27. Let a be r(-4). Solve k + a*k + 12 = -4*b, -5*b + k = 3 for b. -1 Suppose k + 3*k - 24 = 0. Let g be ((-6)/k)/(-1*1). Let m be (-2)/3*(-2 - g). Solve 0 = 5*j + 3*v - 9, -4*j + m*v - 5*v + 6 = 0 for j. 3 Let i(u) = u**2 - 8*u - 3. Let q be i(8). Let p = 5 + q. Solve p*r = 2*h + 3*h - 18, -h - 2 = r for r. -4 Let v be (-5)/((-15)/(-36))*-1 + 0. Solve -y - v = 3*k, -6*k + 5*k + 2*y + 3 = 0 for k. -3 Let k(f) = f**2 + 1. Let q be k(2). Let b be 8/12 - 4/6. Solve b = -w, 2 = -q*c - 3*w - 13 for c. -3 Let n = 1 + 15. Solve -f - 2*l = 1, 4 - n = 5*f + 3*l for f. -3 Let v(l) = -l**2 - 2*l + 3. Let t be v(0). Solve t*u = -u - 2*g + 10, 4*u = -3*g + 15 for u. 0 Suppose -2*k = -2*r + 6 + 142, 3*k = -r + 82. Let m = -51 + r. Solve 3*t + c = 3 + 5, -m = -5*c for t. 1 Let f(u) = 2*u**2 - 8*u - 23. Let c be f(6). Solve 3*d + d = -b + c, 0 = 5*b - 4*d - 29 for b. 5 Let w(t) = -t**2 + 9*t - 2. Let j be w(8). Suppose -j*y - 40 = -y. Let i be 8/y - 16/(-2). Solve h = g + 3, -3*h - 8 = -i*h for g. -1 Let b(y) = -2*y**3 + 2*y**2 - 1. Let u be b(1). Let z = u - -1. Suppose z = 5*t - 2 - 8. Solve 4*r + 8 = 3*p, -p + r = 1 - t for p. -4 Let l be (-3)/(45/(-12))*-5. Let a(h) = h**3 + 4*h**2 - h - 1. Let b be a(l). Solve -2*o + 5*o = 5*c, -b*c = 0 for o. 0 Suppose -8*t + 28 = 4. Solve 0 = -3*f + 3*z - 15, 4*z = -4*f - t + 15 for f. -1 Suppose -2*s - 6 = -4*s, 2 = -a + 2*s. Solve d - 21 = a*f - 0*d, 2*d = 2 for f. -5 Let w = 37 + -35. Solve 0*z + w*z = 2*y + 6, 5*z - 3*y - 11 = 0 for z. 1 Suppose 2*q + 5*t - 9 = 0, -4*q + 5*q - 4*t = -2. Suppose q*b = -0*b. Solve -3*s - 3*l - 2*l - 15 = b, 2*l + 6 = s for s. 0 Let u(v) = v**2 + 1. Let t be u(1). Let b be ((-2)/(-8))/(t/16). Solve -b*h + 3 = 2*p - 3, -5*p - 3*h + 17 = 0 for p. 4 Let t(c) = -c**3 - 8*c**2 - 9*c - 10. Let z be t(-7). Let l = 3 - 0. Solve 3*i = z*q + 6*i - 11, -10 = -l*q - 4*i for q. 2 Let f be (26/(-4))/(5/(-10)). Suppose 2*c - 2*i = -1 - 1, 3*c + i - f = 0. Let m be (-7 + 4)/(6/(-16)). Solve 2*v - m = 4*z, 3*v + c = -2*z + 3*z for z. -3 Let p(s) = s + 1. Let m be p(1). Suppose 0 = 5*o - 22 + m. Solve 2*c - o = 4*r - 2, 6 = -4*c + 3*r for c. -3 Let f be (-465)/(-20) - (-2)/(-8). Suppose -f = -5*t - 3. Solve 4*n + 20 = -t*p, -4*p + 3 = -4*n + 23 for n. 0 Suppose -10 = -4*n + 6. Solve s - 6 = n*s + 5*v, 3*v = -9 for s. 3 Let w(m) = -2*m**3 - 4*m**2 + m - 2. Let k be w(-3). Solve -7 = 2*f + 1, 3*s = f + k for s. 3 Suppose 2 = 4*z + 3*v, 3*z - 16 + 0 = 5*v. Let x be (-3 + 1 + z)*-1. Solve 2*b - 3*f + 9 = -x*b, -5*b + 3 = f for b. 0 Let i = -2 - -7. Let x = -4 + 4. Let t = 15 + -9. Solve t*g + 5*w - 8 = 3*g, i*w - 20 = x for g. -4 Suppose 2*b - 24 = -2*n, 2*b + b - 5*n = 60. Let m = 30 - b. Solve -i - 14 = -3*w, -4*w = -6*i + i - m for i. 1 Suppose 5*k - 12 + 2 = 0. Suppose -k*j = -7*j - 30. Let c = 0 - j. Solve 0 = o - 4*p - 2, c*o - p + 5 = 3*o for o. -2 Suppose 10 = 5*i - 10. Let c(n) = n**2 - 4*n. Let l be c(i). Solve l = 5*h + 3*v + 1, 2 - 1 = 3*h + v for h. 1 Suppose -q - 1 - 3 = h, -13 = 2*q + 3*h. Solve -5*c + 10 = 5*p, -q = p - 0*p + 2*c for p. 5 Suppose 0 = 8*a - 11*a + 6. Suppose 0 = -3*z + 9, 0*h - 15 = -h - 4*z. Solve 10 = u + 4*v, -h*u - 7 = -v + a for u. -2 Let m = -17 - -20. Solve -21 = -5*g - 3*t, 3*g - 4 + m = 4*t for g. 3 Let a = 10 - 7. Let s(j) = 28*j + 202. Let u be s(-7). Solve 4*g - 12 = -n, a*n + 2*g = -0*n + u for n. 0 Let i(b) = b**3 + 6*b**2 - 8*b - 7. Let y be i(-7). Suppose 3*r + 4*l - 2 = 7, y = -3*l. Solve r*s - 6*s - 9 = 0, -2*a + s = -13 for a. 5 Let k = -6 - -12. Let p = -3 + k. Solve -p*v + 18 = -2*s, -3*s + 0 - 5 = v for s. -3 Let n be 4 - (3 + 2 + 0). Let s be n + (2 - -5) + -3. Solve -s*d + 10 = r, -5 = d - 3*d + r for d. 3 Suppose -2*k + 4*b = -2 - 30, 5*b = 0. Solve k = -4*a + 4*u, -3*a -
{ "pile_set_name": "DM Mathematics" }
Let v be (-6)/(-4) + (-10)/(100/(-105)). Suppose 7*j - 3*j - v = 0. Solve 1 = -j*x - 5 for x. -2 Suppose -9 = -2*g + 1. Suppose -u - 4*u = -g. Let w = -1447 + 1454. Solve -4*x - w = u for x. -2 Let u(q) = -q + 9. Let w be u(7). Let y(h) = -1 + 4*h - 4 - h - w*h. Let i be y(7). Solve -n - n - i = 0 for n. -1 Suppose 286*u - 281*u - 30 = 0. Let l be -1 + 2 + (-2 - -6). Solve -l*q + u = 1 for q. 1 Suppose 106 = -4*m + 26. Let c = m - -26. Solve c + 0 = -3*l for l. -2 Suppose 4*w = 2*w + 6. Suppose w*t = 4*t + 2. Let b be (t/3)/(1/(-6)). Solve h = -0*h - b for h. -4 Let w(x) = -x**3 + 6*x**2 - 4*x + 3. Let k(y) = y**3 - 5*y**2 + 5. Let m be k(5). Let q be w(m). Solve 5*c = c + q for c. 2 Let o = 13 + -20. Let z = 13 + o. Let c(w) = w**2 - 6*w + 2. Let b be c(z). Solve 0 = 2*x - 10 + b for x. 4 Let n(d) = d**3 + 26*d**2 - 3*d - 62. Let o be n(-26). Solve 0 = o*q - 9*q + 21 for q. -3 Suppose 0 = 5*y - 10*y + 60. Suppose -y = -4*x - 4. Solve -2*m + x = 12 for m. -5 Suppose 0 = 3*r + r - 16. Suppose -40*b = -38*b - 2*a - 30, 0 = 4*b + 3*a - 60. Solve r*j + b + 1 = 0 for j. -4 Suppose -2 = -l - 3*c + 2*c, -2*l + 10 = 5*c. Solve l = -26*a + 9*a - 34 for a. -2 Let a(y) = y**2 - 4*y + 2. Let r be a(4). Let g = 15 + -6. Let w be (-8)/4 + 2 + g. Solve w = -r*i + 5*i for i. 3 Let q(w) = w + 1. Let c(j) = -j. Let a(z) = -3*z - 2. Let h(x) = -a(x) + 2*c(x). Let v(p) = 7*h(p) - 6*q(p). Let f be v(-4). Solve -f = 3*d - d for d. -2 Let y(i) = -5*i - 2. Let a(v) = -2*v**2 - 2*v + 2. Let l be a(-2). Let r be y(l). Suppose z - 7 = r. Solve -2*t = -5*t + z for t. 5 Suppose 4*i = 4*b, -3 = -2*i - 1. Suppose 5*z = 3*w + b + 3, -4*w = 3*z - 14. Suppose -2*m = -4*q + 2*m, -w*m = 4*q - 18. Solve 0 = -0*g + q*g + 6 for g. -2 Suppose -c - 24 = -3*c. Let d be 5 - 0/(c/4). Let g be (4/(-3))/((-4)/6). Solve -g*w - 5 = d for w. -5 Suppose -7*c - 354 = -60. Let v = 42 + c. Let n(f) = f + 8. Let t be n(-5). Solve v*y = -t*y for y. 0 Suppose 0 = d + 182 - 187. Suppose 10*y - d*y = 0, -2*x = 4*y. Solve x*i + 25 = 5*i for i. 5 Let s(t) = 2*t + 11. Let d be s(-5). Let u be 0*2*d/(-2). Suppose -4*z - 27 = -q, -5*q + 25 = 3*z - z. Solve 4*a + q + 9 = u for a. -4 Let m = 43 - 37. Suppose -m*u = -1 + 1. Solve u*p = p - 5 for p. 5 Let f(g) = -g**2 + 49*g - 406. Let x be f(11). Suppose l + 2*l - 18 = 0. Let b = -3 + l. Solve 3*j + x - b = 0 for j. -3 Suppose 4*s - 5*r + 3 = 2*s, 90 = -5*s - 4*r. Let i = -12 - s. Solve t + i*t - 6 = 0 for t. 2 Suppose q + 4 = -2*s, -6*s + 9*s = -3*q. Solve -4 = 2*i - q*i for i. 2 Let n(h) = h**2 - 8*h + 5. Let r be n(7). Let l(u) = -2*u**2 + 2. Let x be l(r). Let z = -4 - x. Solve 7 + 1 = -z*s for s. -4 Let f(q) = -q - 13. Let h be f(-14). Let k be (-3 - -3)*(h - 3/2). Solve b + 5 = -k*b for b. -5 Suppose 10*x = 7*x. Suppose -3*j + 5*j - 4 = x. Solve -j*f + 3*f = 4 for f. 4 Suppose 6 = 6*y - 0*y. Solve y + 2 = -3*f for f. -1 Let m be (-1 - 5)*(-2)/6. Let d(q) = 3 + 3*q**2 + m*q**2 - 3*q - 2*q**2. Let w be d(3). Solve w = -5*o + 6 for o. -3 Let m = 15 - -7. Let f = -21 + m. Suppose -o + f + 1 = 0. Solve -z + 4 = o for z. 2 Let x = -291 - -291. Solve -r + 2*r = x for r. 0 Suppose -5*y = -3*x - 3, 0*x + 3 = 2*x - 5*y. Let i(z) = 2*z + 19. Let p be i(x). Solve p - 4 = -f for f. -3 Suppose -32*o + 962 = -19*o. Solve o*c - 71*c - 12 = 0 for c. 4 Suppose -7*v = -4658 + 4518. Solve 16*w - 11*w + v = 0 for w. -4 Let l = 2 - 12. Let y be 4/l - 162/(-30). Let f = 17 - y. Solve -f = 4*s - s for s. -4 Let w(u) = 5*u + 30. Let n be w(-6). Let d be n*(-4)/12 + 5. Solve -2*q + 7*q + d = 0 for q. -1 Let f(b) = -b**3 - 6*b**2 + 7*b + 3. Let t be f(-7). Suppose 2*z - 4*q = 1 + 5, 3*q + 12 = t*z. Solve -o + 0 = -z for o. 5 Let h(p) = 5*p - 15. Let f be h(3). Let n be (-1)/(4/(-16)*-4)*f. Solve n = -3*y - 2*y + 10 for y. 2 Suppose 25 - 19 = 6*a. Solve 7 = 6*r + a for r. 1 Let t be (-3)/24*-6*4. Let x = 16 + 4. Suppose -x = -0*b + 4*b, t*s + 9 = -3*b. Solve 3*z + 5 = -s*z for z. -1 Suppose -3*s + 5*j + 37 = 0, -3*j + 0 = -3. Solve 6*k + 24 = s*k for k. 3 Suppose -109*b + 888 = 2*b. Solve 20*n = 24*n + b for n. -2 Let f(x) = -48*x + 193. Let c be f(4). Solve 13*i - 14*i - c = 0 for i. -1 Let x = 110 + -103. Solve x*j + 3 - 10 = 0 for j. 1 Let k(m) = 24 - 5*m + 2*m + 6*m. Let x be k(-7). Solve -x*g + 12 = -0*g for g. 4 Suppose 3*z - 2*u - 23 = -6*u, u = -3*z + 26. Let f be 10/(-6)*168/(-8). Suppose -15 = 4*h - f. Solve -h*r = -z + 34 for r. -5 Let o(z) = -z**2 + 9*z + 12. Let w be o(10). Suppose 0 = 5*x, -w*x = g - 6*g + 25. Solve -d - 1 = -g for d. 4 Suppose -2 = 21*n - 22*n. Solve 2 = n*f - 0 for f. 1 Let h be -3 - (5 + 0 - 17). Let r be h - (5 + -1 + 1). Solve -k + 5 = r*k for k. 1 Let p(g) = g + 9. Let w be p(-5). Suppose 0 = w*j + 27 - 35. Solve -j*x = -3 - 5 for x. 4 Let z = -1586 + 1592. Solve 0 + z = -3*r for r. -2 Let s be 8 + 5 + 2 + -5. Let i = 13 - s. Let q be (39/i - 0)/1. Solve -3 + q = 2*c for c. 5 Let h(v) = v**2 - 17*v - 4. Let d be h(17). Let q(n) = n**2 - 16. Let r be q(d). Solve r = -0*p + 4*p for p. 0 Let s be (-4 + 3)/(3/(-6)). Suppose -19 = -3*m - 10. Let i(v) = v - 1. Let p be i(1). Solve p = -s*d - m + 7 for d. 2 Suppose 68 = -3*d + 77. Let s(r) = r + 13. Let u be s(-3). Suppose 0 = -0*i - i. Solve i = -d*h - 2*h - u for h. -2 Let v be -2*5/((-50)/(-5)). Let u(c) = 11*c. Let h be u(v). Let o be (h - -17) + (1 - -1). Solve -3*a - a = -o for a. 2 Suppose -9*t - 359 - 172 = 0. Let y = t - -63. Solve 5*c + 24 = y for c. -4 Let y = -69 + 72. Suppose -2*b - y*t = -23, 3*b - 3*t = 2*b - 2. Solve 0 = -2*w + b*w for w. 0 Let l(r) = r + 16. Let b be l(-12). Suppose -4*s - b = 4*p, -2*s - 3*s + 4*p = -40. Let q = 6 - 6. Solve q = -2*w + s*w for w. 0 Let w be (-8)/(3 + -6 + 5). Let v be (w/16*0)/(-2). Solve 8 = -v*j - 2*j for j. -4 Suppose 3*r + 14 = 2*i + 4, -r + 10 = 2*i. Let k be r/2 - 3 - -5. Suppose 2 = -3*j - k*o, -3*j - 3*o = -0*j + 3. Solve 2*z + 4 + 0 = j for z. -2 Let c(s) = -s**2 - 25*s - 102. Let t be c(-17). Solve t*n = 42*n + 32 for n. -4 Suppose -3*z = 4*t - 9 - 26, 30 = 2*t + 4*z. Suppose 0 = -3*h + 6*h - 81. Suppose t*f - 3 = h. Solve -f - 2 = -2*i for i. 4 Let r be (4/2)/(-12) + 515/(-6). Let o = 87 + r. Solve 2*v - o = -9 for v. -4 Suppose 3*u = -5*m + 4*u + 26, 0 = 5*m + 3*u - 22. Suppose 0 = -4*p + m*i + 31, 5*p + 0*i - 46 = -i. Solve -p + 3 = -2*w for w. 3 Suppose -25 = -5*s - 3*u, -u = s + 1 - 6. Solve -12*p + 17 = s*p for p. 1 Suppose 3*f - 8 + 3 = -2*t, -2*t - f = 1. Let q = 5 + t. Solve 3*b = 4*b - q for b. 3 Suppose 4*s + 245 = -n, -2*s + 0*n - n - 121 = 0. Let h = s + 69. Solve -2*a - h = 3 for a. -5 Suppose -4*w = -2*a - 3*w + 10, -5*w = -4*a + 32. Suppose -2*u = j + 46, -u - a*j - 19 + 6 = 0. Let i = -17 - u. Solve -i = -0*r + 2*r for r. -4 Suppose 3*j - 30 = -87. Let f = -10 - j. Let w be 5/((-6)/f + 1). Solve x = 4*x - w for x. 5 Let d = -92 - -34. Let u = -55 - d. Solve -m = u + 1 for m. -4 Let h(x) = x**2 - 14*x + 41. Let c(k) = -k**2 + k. Let a(z) = -2*c(z) - h(z). Let g be a(-15). Solve -b + g*b = 9 for b. 3 Suppose 4*r = 14 + 6. Suppose 0 = 4*j - 9*j + 100. Suppose 5*x - 3*x = -r*b + j, -5*b = -2*x - 40. Solve b*t = t + 10 for t. 2 Let t be (3 - 6/(-3)) + -3. Suppose 6 = -2*w, 0 = -t*o + w - 1 + 12. Suppose o*y - 9 = y. Solve -4*g + 1 = -y for g. 1 Suppose -5*w - 15 = 3*v, 5*w + 15 = v + 2*v. Let t = 1 + 4. Suppose -2*n + 3*h + 0*h = 5, 2*n - 19 = -t*h. Solve -2*o = -v*o + n for o. -1 Let t be (3 - 20/6)/(4/(-96)). Solve 6*p - t = 2*p for p. 2 Suppose 9*c - 7 = 11. Let n(x) = -x**3 - 5*x**2 - 6*x - 4. Let y be n(-4). Solve 0 = -2*f + y - c for f. 1 Let u(z) = 4*z**3 - 18*z**2 - 18*z + 42. Let k be u(5). Solve 7*p = -k*p + 45 for p. 5 Suppose 5*j - 16 = -1. Let m(i) = 2*i**2 + 60*i. Let r be m(-30). Let v be ((-1)/((-4)/16 - r))/2. Solve 0 = -v*p + j*p for p. 0 Suppose -6 + 116 = 2*n. Suppose -4*b = -f - 34 - 10, n = 5*b - 4*f. Let j be 110/25 + (-24)/10 + 2. Solve -j*d = 5 + b for d. -4 Suppose -2*t + 3*w = 2*t + 50, 2*t + 32 = 5*w. Let v = -11 - t. Solve 3*m + 3 = -v*m for m. -1 Let m(h) = h**3 + 8*h**2 + 7*h. Let b be m(-7). Solve b = 4*p + 5 + 11 for p. -4 Let d(x) = x**3 + 9*x**2 + x + 6. Let t be d(-9). Let h = t - -1. Let w be ((-26)/65)/(h/5). Solve w = -2*l - 7 for l. -4 Let s(w) = -w**3 - 3*w**2 + 12*w + 99. Let a be
{ "pile_set_name": "DM Mathematics" }
**43)/(r**(9/4)/r**(-2/5))**28 assuming r is positive. r**(-1279/20) Simplify ((f*f*f*f**(1/3)*f*f)**(-4/17))**(3/22)/((f/f**(1/2))/f**3)**(-34) assuming f is positive. f**(-15927/187) Simplify ((x/(x/x**(4/3))*x)/(x*x**(-9)))**36/((x**(3/2)/x)/((x**(2/15)*x)/x)*x/x**8*x**(7/4)) assuming x is positive. x**(22613/60) Simplify ((o**(-2/5)*o*o/(o*o**1))/(o**(-1))**(-23))/(o**(-3)*o**(4/3)*o/o**5*o**1) assuming o is positive. o**(-281/15) Simplify (n**(22/3)*n*n**(8/5)*n*(n**(5/2))**(-38/7))**(-22) assuming n is positive. n**(6094/105) Simplify ((v*v**(-4/7))/v**9*(v*v/(v**(-2)/v)*v*v)**35)/(v/(v**(-8)*v)*v*v/(v**(-3)*v)*(v**(-1))**(-8)) assuming v is positive. v**(1515/7) Simplify ((n**5/n*n*(n**(-1/3)*n)/n)/(n**1*n)**(-1/14))/(n/n**(-5)*n/(((n*n**2/n*n)/n)/n)*n**(1/5)*n*n**(-3)) assuming n is positive. n**(64/105) Simplify (o**(-42/11))**(-41)*o**11*((o/o**34)/o)/o assuming o is positive. o**(1458/11) Simplify ((a**(6/7)*a*a**(2/5))/(a*a*a**(1/6)*a/(a*a**(-1/7)*a)))/(a/a**(-1)*((a*a/(a*(a/a**(-5))/a)*a)/a)/a*a)**48 assuming a is positive. a**(20359/210) Simplify (((((g**(2/13)*g)/g)/(g/(g*g/(g**1*g)*g)))/(g/(g*g/g**(-1/3)*g)*g*g**(4/7)))**(2/69))**(-12/5) assuming g is positive. g**(-400/6279) Simplify s*s**(-3/4)*s*s*s**(-2/5)/s*s*s**(1/6)*(s**(2/15)/s)/s*s*(s**1)**(-46)*(s**(-1))**46 assuming s is positive. s**(-1817/20) Simplify (((t**5/t**(-6/13))**(-23/5))**44)**(-2/25) assuming t is positive. t**(143704/1625) Simplify (i*i/(i*i*i*i*i**(-2/11)*i*i*i)*i/(i**0*i))/(i**(1/6)*i**(-2/7))*((i/(i**(6/7)/i))/(i**(-2/3)*i))**(-4) assuming i is positive. i**(-3667/462) Simplify ((p**(-6))**(-37)*(p**(-3)/p)/(p/(p/(p**(-7)*p))*p))**31 assuming p is positive. p**6913 Simplify (k**4/(k*k*k**(-2/3))*k**(1/6)*k**(-6))/(k**0/(k**(-2/3)*k)*(((k*k**(-2))/k)/k)**(-35/2)) assuming k is positive. k**(-166/3) Simplify (d**0)**31/(d/(d/(d/(d**(1/2)/d*d))))**(5/12)*(d/d**(-3)*d**6*d)/(d*d*d**(1/2)*d*d)**38 assuming d is positive. d**(-3845/24) Simplify (o**6*o*o*o**(2/7)*o*o)**(-8/5)*((o**0)**40)**(-2/9) assuming o is positive. o**(-576/35) Simplify (p*p*(p/(p**(-33)*p))/p*p*p*p)**(-34/7)/(p**34*p*p**(3/23)) assuming p is positive. p**(-34590/161) Simplify (b**(-12)*b*b**8/b*(b*b/b**(-5))**(-12))**(6/41) assuming b is positive. b**(-528/41) Simplify ((v/(v/(v*v**(-5/11)/v)))**(-1/12)/(v/(v*(v/(v*(v**(-19)/v*v)/v))/v))**(-17))**3 assuming v is positive. v**(-42631/44) Simplify (((o**(-2/7))**(-40)*(o**(2/3))**(4/7))**(-1/5))**36 assuming o is positive. o**(-2976/35) Simplify ((y/y**(2/11))/y**(2/31))/(y**5*(y*(y/(y*y**0))/y*y)/y)*(y**(-2/5))**(-34)*(((y**(3/4)/y)/y)/y)/y*y**(-1/3) assuming y is positive. y**(118061/20460) Simplify ((o*o**(-9/2)*o**(-1/8)*(o*o/((o*o**0*o*o)/o))/o**(7/6))**(2/59))**49 assuming o is positive. o**(-5635/708) Simplify ((m/(m**3/m))/m)/m**8*m**(-2)*(m**(-4)/m)/m*m**(-1/7)*m**5/m*(m*m*m**(1/7)/m*m)/(m**(-2)*m) assuming m is positive. m**(-11) Simplify ((u*u**(1/6))/((u/u**(-4))/u))**(-1/32)/(((u*u**(-6))/(u/((u*u*u**2)/u)))/(u/(u**1/u))**(35/3)) assuming u is positive. u**(2833/192) Simplify ((((z**(3/7)*z*z)/z*z)/z**3)/(((z*(z*z*((z/(z/(((z**(3/5)*z)/z)/z)))/z*z*z*z)/z)/z*z*z*z)/z)/(z*z/(z/(z**(-8)*z))*z)))**(3/5) assuming z is positive. z**(-1068/175) Simplify ((q*q/q**(1/3))/(q*q/(q**(4/7)*q)))**39*(((q*q/(q*q**0))/q)/(q*q**(-1/3)*q))**(-2/97) assuming q is positive. q**(98428/2037) Simplify (((w/(w**(-2/7)/w))/w)**(2/55))**(2/47)/(((w*w*(w*w**(1/3))/w*w*w)/w)**(4/15))**(-20) assuming w is positive. w**(2895524/162855) Simplify (s**5*s**(1/10)*s)**39/((s**(-2/9))**(9/11)*(s/(s*s/s**(-3/4)))/s*s**5/s) assuming s is positive. s**(52103/220) Simplify (o**(-2/5))**(-2/27)*(o**(1/2))**(-3/44)*(((o**0/o)/o)/o**(2/11))**37 assuming o is positive. o**(-959093/11880) Simplify b**0/b*b/(b/b**(4/11))*b*(b**1)**(-22)*b**1*b*b*b*b**(-2)*(b*b**(-5))/b**0 assuming b is positive. b**(-260/11) Simplify ((r/(r**(-36)*r)*r**(-31)*r)/(r*r**(-4/9))**(10/11))**(2/155) assuming r is positive. r**(1088/15345) Simplify (n**(-1/3))**(23/4)/((n/n**5)/((n**7/n)/n))*(n**(-2/9)/(n**(-2)/n))/(n**(-2/13)/n**(3/4)) assuming n is positive. n**(2519/234) Simplify ((r**(1/2))**(-23)/(r/(r/((r/(r**(-2)/r))/r))*r/(r/r**(3/7))))/(r**6*r/(r**(-1/9)/r))**23 assuming r is positive. r**(-25387/126) Simplify (((q/(q*q**(1/3)))**35/(q**(2/7)*q)**(-7/2))**14)**3 assuming q is positive. q**(-301) Simplify ((v**(-2/9)*v)**(-5/3))**(-3/17)*(v*v**1)**(-3/41)*v**(-3/7)*v*v*v/(v*v**5/v)*v assuming v is positive. v**(-59111/43911) Simplify (l**4/l*l*l**(-2))/(l/(l**(2/3)/l))**(-2/17)*(l**1*l*l*l*l)**(2/135)/(l**(-1))**(8/3) assuming l is positive. l**(2248/459) Simplify j/j**1*j*j**6*(j**(1/14)*j*j)/j*j**(-1)/j*(j**(-2/13)*j/(j*j*j/((j*j**(-9))/j)*j*j)*j)**20 assuming j is positive. j**(-43135/182) Simplify (u/u**(-39)*u)**(1/4)*(u/(u/(u*(u*u/u**(-1))/u)))/(u/(u*(u**(24/7)/u)/u)) assuming u is positive. u**(411/28) Simplify (h**(-3/2)*h**(3/5))**23*((h*h*h/((h**(4/5)*h)/h))/((h/h**(-2/3))/h))/(h/h**0)**(-22) assuming h is positive. h**(17/6) Simplify ((g**(8/5))**48*(g*g/g**(-1/4))**(-2/107))**(39/4) assuming g is positive. g**(3203109/4280) Simplify ((((x*x/x**(-8))/(x**(1/4)*x*x*x))/(x/((x**(2/5)/x*x)/x*x))**48)**(-3/23))**32 assuming x is positive. x**(10584/115) Simplify ((s*s**(-2)*s)**(-1/54))**(1/47)/(s**(-2)*s/(s**(-2)*s)*(s/s**(1/5))**1) assuming s is positive. s**(-4/5) Simplify ((q*q/(q/q**(-19)))**(-5)*q**9/q*q/q**(-3/19))**(-1/28) assuming q is positive. q**(-471/133) Simplify ((h**(-10)*h/h**(11/5))/(h**(-9))**(4/19))**15 assuming h is positive. h**(-2652/19) Simplify (l**1/l**2)**(-45)/(l**(-1/7)*l**(3/2))**(-26/7) assuming l is positive. l**(2452/49) Simplify (((a**3*a*a*a**5)/(a**(2/7)/((a/(a**(-5)*a*a))/a)))**(-23))**(-14) assuming a is positive. a**4094 Simplify ((((k*k/(k/k**(-2/7)))**27)**(-37))**(1/2))**(13/3) assuming k is positive. k**(-21645/14) Simplify ((v*v/v**(-1/7)*v)**12*v**13*v*v**(-6))**(-1/17) assuming v is positive. v**(-320/119) Simplify ((c/c**(-1/34))/c**(-4/33))/(c**(2/7)*c**(3/10)) assuming c is positive. c**(11092/19635) Simplify ((q**(-1/4)/q)**1/(q/q**7)**(-20/9))**(-2/35) assuming q is positive. q**(5/6) Simplify ((((y**(-2/5))**(-23))**(-2/47))**10)**(-9/5) assuming y is positive. y**(1656/235) Simplify (j**(1/4)/j*(j**(-4)*j*j)/j*(j**(-1)/j)**48)/((j**(1/2)/j*j)**(12/11)/(j**1)**(-32)) assuming j is positive. j**(-5821/44) Simplify (y/(y/(y*y**(-1/10))*y)*y*y**(2/19)*(y*y**15)**(-34))**(-16) assuming y is positive. y**(825352/95) Simplify (p**(-14/5)*p*p*p*p**34/p)/(p**(-2/3)/p**(-30)) assuming p is positive. p**(58/15) Simplify ((v**42*v)/v**(1/7))/(v**8*v*v*v/v**(-5/17)) assuming v is positive. v**(3756/119) Simplify (p*p/p**2*p)/(p*(p*p/p**(1/2)*p)/p)*(p/p**(-2/7))/(p*p**4)*(((p*p/(p**(1/2)/p))/p)**(-2/65))**(4/9) assuming p is positive. p**(-14291/2730) Simplify ((v**(22/7)/(v**(-27)*v))**(1/23))**(-5/9) assuming v is positive. v**(-340/483) Simplify (s*s**(-7))**(-2/25)/((s/((s/s**(-4)*s)/s*s))/s**(-37)) assuming s is positive. s**(-788/25) Simplify ((w/(w*w**1))**(-15/2)*(w**(-1)*w)**(-31))/((w**1)**(4/17))**(-1) assuming w is positive. w**(263/34) Simplify (v*v**(2/5))/(v*v**(-1/5)*v)*v**(2/9)/v*v**(-5)*((v/v**1)/v)**(-34/7)*(v**0)**7 assuming v is positive. v**(-416/315) Simplify (u*u/u**(-1/9)*u/(u**(-2/87)/u*u)*u**4/(u*u**13/u))**(28/9) assuming u is positive. u**(-42868/2349) Simplify (c*c**4*c*c*c**(-2/35)*c*c**(-3)*c*c*c**(-3))/(c**(-4/5)/(((c**0*c)/c)/c)*(c*c/c**(-2)*c)**(-2/139)) assuming c is positive. c**(18559/4865) Simplify (v*v**(-7))/(v**(2/11)*v)*(v**(-1))**(-5)*(((v*v**(-7))/v*v*v)/(v*v**(4/5)))**(-2/95) assuming v is positive. v**(-10652/5225) Simplify (u**(-1/8)*u*u*u/u**(2/5)*u*u*u)**(2/37)*((u**(-2/11))**32)**(19/3) assuming u is positive. u**(-892613/24420) Simplify ((a**(2/33))**(-2/39)*(a*a**(-1/4))**(-22))**(-1/30) assuming a is positive. a**(42479/77220) Simplify (g*g**(1/74)*(g*g/g**(-28/3))/g)/(g**(-17/3)*g*g/((g**41*g*g)/g)*g) assuming g is positive. g**(4145/74) Simplify ((y/y**0)**(-2/35))**(-27)*(y**(-1/3)*y/(y*y*(y*(y/(y**(-1/7)/y))/y*y*y*y)/y))/((y*y**1)/y*y/(y/(y*y**(2/13)*y))) assuming y is positive. y**(-1382/195) Simplify ((y**(1/5)*y)/y)/y**(3/5)*(y*y*(((y**(-4)*y)/y*y)/y)/y*y)/(y*y**5)*(y/((y
{ "pile_set_name": "DM Mathematics" }
ps. -0.000002 Let c = -9.4479 + 9.51. Let h = -2.4 + 2.341. Let w = h + c. Round w to 3 decimal places. 0.003 Let k = 7054 - 16254. What is k rounded to the nearest one thousand? -9000 Let t = 0.269 + 0.821. What is t rounded to one decimal place? 1.1 Suppose -4*f = l - 209920, 3*f - 157445 = -0*l - 2*l. Suppose -4*d + f + 59521 = 0. Round d to the nearest ten thousand. 30000 Let b(u) = -2*u - 13. Let x be b(-12). Let c = 15 - x. Suppose -8906 = g - 3*d, 0*d + 8 = c*d. Round g to the nearest one thousand. -9000 Let d = 158 + -157.911. Let j = d + -0.089102. Round j to 5 dps. -0.0001 Let c(i) = 383*i - 7. Let y be c(-3). Let s be -1372*(1 - (-2)/(-4)). Let l = y - s. What is l rounded to the nearest one hundred? -500 Suppose 0 = 5*f + 2*o - 7*o + 2949975, f - 5*o = -589975. What is f rounded to the nearest 100000? -600000 Let p = 50.9177878 + -2.9178088. Let x = p + -48. Round x to 5 dps. -0.00002 Let a = 35.5 - 12.4. What is a rounded to 0 dps? 23 Let a = 17 - 59. Let f = 2.475888055 + -44.475887375. Let o = f - a. What is o rounded to 7 decimal places? 0.0000007 Let q = 11.853 + -11.9. Let l = -3 + 2.99. Let r = q - l. Round r to two decimal places. -0.04 Let q(f) = -f**2 + 6*f. Let d be q(6). Suppose d = -4*v + 5*v. Round v to six decimal places. 0 Let d(f) = -491997*f. Let p be d(1). Let c be p/12 - (-3)/(-12). Round c to the nearest 10000. -40000 Let b = 1.82 - 1.820182. Round b to 5 decimal places. -0.00018 Let t = 41 - 31.6. What is t rounded to the nearest integer? 9 Suppose 0 = -4*s + 69331 + 970669. Round s to the nearest one hundred thousand. 300000 Let o(z) = -z**2 + 9*z + 3. Let p be o(9). What is p rounded to 0 decimal places? 3 Let n = 1458374 + 331626. Round n to the nearest 100000. 1800000 Let h = -15 - -27.4. Let m = h - 0.4. Let p = 11.63 - m. What is p rounded to one dp? -0.4 Suppose 2*i + 0*i - 22 = 0. Let u = i - 8. Let b be (-1299998)/(-1 + u) + -1. Round b to the nearest one hundred thousand. -700000 Let h be 12199997 - (-18)/12*(-1 - -3). What is h rounded to the nearest 1000000? 12000000 Let z be (-1)/5 + (-122)/(-10). Let a = z - 7. Suppose 3*q - 4*p + 230 = 0, 0*p + p = a*q + 355. What is q rounded to the nearest 10? -70 Let f = -0.46 - -0.4600048. Round f to five decimal places. 0 Suppose -3*q - u + 134996 = 0, 4*u + 6 = -10. Round q to the nearest ten thousand. 50000 Let a = -164.857 - -166. Let j = -1.1 + a. Round j to 2 dps. 0.04 Let q = -1990.0999 + 1990. Let j = 0.092 + q. What is j rounded to 3 dps? -0.008 Let t = 183797 - -56193. Suppose -70285 = n + 3*o + 9721, 0 = 3*n - 5*o + t. What is n rounded to the nearest ten thousand? -80000 Let r = -0.087 + 98.087. Let g = 97.879 - r. Round g to 2 decimal places. -0.12 Suppose 5*o + 9 = -1. Let m be (1 - o)/1 + 1. Suppose 5*w = -4*z - 2 - 22, m*z = w. What is w rounded to zero dps? -4 Let s = 0.1455 - 0.22761. Let z = 0.028 - 0.111. Let d = z - s. Round d to 4 dps. -0.0009 Let b = 14 - 13. Let j(z) be the first derivative of -25000*z**2 + 2. Let d be j(b). Round d to the nearest 100000. -100000 Let y be 2 + -43*(-1 + -1384). Let m = y - -4040443. Round m to the nearest one million. 4000000 Let m = 2237458 + -1476610. Let v = m - 80077. Suppose -2*g + 5*o = -231985, 4*o - 216783 = 4*g - v. Round g to the nearest 10000. 120000 Let k = -0.82 - 24.38. Let o = k - -25.19999897. What is o rounded to 7 decimal places? -0.000001 Let v be (0 - -900)*(-24 - -4). What is v rounded to the nearest 10000? -20000 Let u(b) = 2*b. Let w be u(-5). Let d = -16 - w. Let z be (7/3)/((-2)/d). Round z to the nearest 10. 10 Let g = -20 - -19.7. Let q = g + -0.5. What is q rounded to one dp? -0.8 Let u = -8.437 - -8.4. Let n = -0.773 + u. Let k = 0.81000043 + n. What is k rounded to 7 decimal places? 0.0000004 Suppose 5*n + 1 = 11. Suppose n*f + 33608148 = 11408148. Round f to the nearest one million. -11000000 Let x = 3484.1 - 3483.71954. Let u = -0.38 + x. What is u rounded to four decimal places? 0.0005 Suppose -3*c - 4 = 11, -2*g + 188020 = -4*c. What is g rounded to the nearest 10000? 90000 Suppose -3*v - 24 = -5*v. Let f = v - 8. Suppose 4915 = f*s - 3085. What is s rounded to the nearest ten thousand? 0 Let g(z) = z**3 - 9*z**2 + 8*z + 3. Let x be g(8). Suppose -n + c - 30900003 = 2*n, 30899991 = -3*n - x*c. What is n rounded to the nearest 1000000? -10000000 Let d = -4.2 + 67.2. Let z = -69.2 + d. What is z rounded to zero dps? -6 Suppose c - 5*s + 5060 = 3*c, -2*c - s + 5076 = 0. What is c rounded to the nearest one hundred? 2500 Let c(k) = 93*k**2 + 3*k - 1. Let z be c(2). What is z rounded to the nearest 100? 400 Let i(m) be the first derivative of -2899999*m**4/4 - 2*m**3/3 + m**2/2 - 1. Let f be i(1). Round f to the nearest 1000000. -3000000 Suppose 0 = -4*z + 4*g + 91 - 15, -11 = -z + 5*g. Let w be 2/(-7) - 10494/z. Round w to the nearest one hundred. -500 Let n = 11 + -10.96. Let t = n - 0.03999952. What is t rounded to seven dps? 0.0000005 Let s = -47 - 33. What is s rounded to the nearest ten? -80 Suppose 3*k = 6*k - 6. Suppose -2*m - k*s = -4*m + 94, 0 = -2*m - s + 91. Suppose l = -0*l - z + m, -2*z - 237 = -5*l. What is l rounded to the nearest 10? 50 Let q = 4342.955 - 4321. Let j = -22 + q. Round j to 2 dps. -0.05 Let x(c) = -3*c + 8*c - 2*c + 639*c**2 + 2. Let k be x(3). Suppose 0 = j + 3238 + k. What is j rounded to the nearest 1000? -9000 Let u = 6 + -4. Let r = -2.075 + u. What is r rounded to two decimal places? -0.08 Let z = 5 + -3. Let x = z + -40. Let r be 8*1/(4/x). Round r to the nearest ten. -80 Let m = -2 - -2.03. Let s = 0.02999964 - m. What is s rounded to 7 dps? -0.0000004 Let b(f) = f**3 + 8*f**2 + 6*f - 4. Let s be b(-7). Let g(z) = -z**2 + 6*z - 2. Let o be g(5). Suppose 6*l = o*l + s. What is l rounded to the nearest ten? 0 Suppose -i - i = -2540000. What is i rounded to the nearest 100000? 1300000 Let z = -0.755 + -0.155. Round z to 0 dps. -1 Let a = -0.01 - 5.99. Let o = -3.5 - a. Let d = o + -2.500022. What is d rounded to five dps? -0.00002 Let b = 2.7 + -2.70034. Round b to four decimal places. -0.0003 Suppose -4*t - 2*h - 110 = 0, 0*t - 4*t = h + 105. Let n = -13 - t. What is n rounded to the nearest ten? 10 Let u = 163.0076 - 170. Let s = -16 - -9. Let r = u - s. What is r rounded to 3 dps? 0.008 Suppose -3*a + k = -70, a + k - 15 = 3. Suppose 5*h + 10 = -2*s, -5*h - 3*s - 2*s = -5. Let m be 1561996/22 - h/a. Round m to the nearest ten thousand. 70000 Let i(s) = -125078*s - 1. Let d be i(3). Let k = -93162 - d. Let r = k + -187073. What is r rounded to the nearest 10000? 100000 Let d = 1.42 - 1.4199887. Round d to 6 decimal places. 0.000011 Let o = 31 - 35.8. Let j = o - -4.99. Round j to one dp. 0.2 Let z = -367 - -1034. Let i = -669.71 + z. What is i rounded to 1 dp? -2.7 Let i = 0.6 - 0.9. Let u = -0.25 - i. Let x = 0.04987 - u. Round x to 4 dps. -0.0001 Let v = 108969.7 - 108932.70042. Let r = v - 37. Round r to four dps. -0.0004 Let i = -7 + 8. Let r = i - 1.07. Let h = r - -0.069925. What is h rounded to 5 dps? -0.00008 Let a(w) = -521*w**3 - 4*w**2 + 6*w + 5. Suppose 0 = -2*b - b - 15. Let g be a(b). Round g to the nearest 10000. 70000 Let v = -186.999921 + 187. Round v to 5 dps. 0.00008 Let p = -28.97505 - -29.06505034. Let s = p + -0.09. What is s rounded to 7 decimal places? 0.0000003 Let z = 0.2396 - 0.23. What is z rounded to 3 dps? 0.01 Let i = -3553666 + 3553666.27000063. Let q = i - 0.27. Round q to 7 dps. 0.0000006 Let u = 2.1 + -0.8. Let s = u - 3.2. Let q = s + 1.89999916. Round q to 7 dps. -0.0000008 Let a = 11.28 - -1.52. Let z = a + -26. Round z to the nearest integer. -13 Let c = 294863.300015 + -294864. Let p = c + 0.7. Let l = 0 - p. What is l rounded to 6 decimal places? -0.000015 Let h = -4.166 + 0.056. Let x = -26 - -26.19. Let i = x - h. Round i to the nearest integer. 4 Let w = 0 - 1. Let g = -7.672 - -6.6722. Let z = w - g. What is z rounded to 3 dps? 0 Suppose 9 = 5*u - 1. Suppose -4*a + b + 179997 = 0, -u*b = -b - 3. What is a rounded to the nearest 10000? 50000 Let r = 3 - -2. Let t = r + -2. Suppose 95998 = -t*n - y, -32008 = 3*n - 2*n - 4*y. Round n to the nearest ten thousand. -30000 Suppose 2 = -0*h + 2*h. Let v(n) = -23*n**3 + n**2 - 2*n + 1. Let q be v(h). Let m = q - 37. What is m rounded to the near
{ "pile_set_name": "DM Mathematics" }
- 3*s to m*s + y and give y. 206 Express 137*s - 4*s**2 - 47*s + 17*s**2 - 14*s**2 - 6*s**2 - 3 as n*s + l*s**2 + d and give d. -3 Rearrange (218 + 89 - 92)*(3 - 5 - 1 - 1)*(5*x + 0*x + 5*x) to j + i*x and give j. 0 Rearrange (-2*l + 2*l + l)*(-5 + 5 - 2*l) - 2*l**2 + l - l + (0 + 1 + 1 - 5*l)*(-2*l + 30*l - 5*l) + 0*l + 0*l - 2*l**2 to m + v*l**2 + i*l and give i. 46 Rearrange -16*v**4 - 8*v**2 + 8*v**2 + (v**3 + 0*v**3 + 0*v**3)*(2 - 2 + 3*v) - 38*v + 38*v - 30*v**4 to the form f*v + p + r*v**3 + l*v**4 + b*v**2 and give l. -43 Rearrange (-24*x - 9*x + 15*x - 24*x - 13*x)*(-34*x - 15*x + 102*x) to k*x**2 + z + q*x and give z. 0 Express -3 + 1655*d**2 - 1569*d**2 - 9*d + 0*d in the form v*d**2 + r*d + c and give v. 86 Rearrange -34 + 19*v + 75 - 43 + 2*v - 4*v + 4*v + (-2 + 3 + 0)*(v - 4*v + 2*v) - 84 + 12*v + 84 to m + g*v and give g. 32 Express 107*s**2 + 63*s**3 - 30*s**3 - 24*s**3 + 5 - 7*s**3 as m*s**3 + a*s + q*s**2 + t and give q. 107 Express ((-2 + 0 + 1)*(5*t - 5*t - t) + 972*t - 41138 + 41138)*(3 + 0 - 2) as d*t + v and give d. 973 Express -2 - 3888*s - 1448*s - 1193*s in the form y*s + u and give y. -6529 Rearrange -19180*a - 5169*a + 44*a - 3791*a to the form m + x*a and give x. -28096 Rearrange -127*s + 34 - 1000*s - 35 to z + n*s and give n. -1127 Express (-137*j**3 + 2*j - 1478*j**2 + 1478*j**2)*(3 + 11 + 3) in the form w + c*j**2 + l*j**3 + y*j and give y. 34 Rearrange -199 - 3*w**2 - 13 - 754 + 0*w**2 to h*w**2 + d*w + c and give h. -3 Express -2*p - 3*p + 4*p + 0 + 2*p + 0 + (0*p + 0*p + p)*(3 + 0 - 4) - 1220 + 1220 - 145*p + (-5 + 5 - 2*p)*(4 - 2 - 4) as l*p + v and give l. -141 Rearrange 5777 - 4603*i**3 - 2944 - 2835 to r + p*i + u*i**2 + l*i**3 and give r. -2 Rearrange -35*h**2 - 48*h + 48*h + 0*h**2 + 0*h**2 + 3*h**2 + (h**2 + 4*h**2 - 3*h**2)*(2 - 3 + 6) to the form y + a*h + f*h**2 and give f. -22 Express (-1 + 2 + 0)*(0 + 4 - 1)*(8*p**3 + p - p) + 16*p**3 + 18*p**3 - 7*p**3 as o*p**2 + z + w*p**3 + r*p and give w. 51 Rearrange (-f + 3 - 3 + 0*f - 3*f + 4*f + (0 - 2 - 1)*(f + f - 4*f) - 11 + 85*f - 161*f - 391*f + 11)*(0*f + 0*f - 2*f) to x*f**2 + v + u*f and give x. 922 Express (-2*l + 1 - 1)*(l**2 - 2*l + 34*l**2 - 3 + 5*l**2) + 9*l**3 - 8*l**3 - 12*l**3 in the form v*l**3 + p*l**2 + u + y*l and give y. 6 Rearrange -2496*c - 3607*c - 1236*c to a + n*c and give n. -7339 Rearrange (-15 + 33 - 5)*(-18*h - 332 + 99 + 218) to i*h + w and give i. -234 Rearrange (27*o - o**2 - 26*o - o**2)*(-370 - 453 + 472)*(1 - 1 - o) to m*o + i*o**2 + c*o**3 + z and give c. -702 Rearrange (62 + 59 - 129 + 23*i**2)*(-6*i + 30*i + 18*i) to the form t*i**3 + v + y*i + u*i**2 and give t. 966 Express (0*g - 6*g - 3*g)*(-51 + 133 + 337) as f + z*g and give z. -3771 Rearrange 70*l**3 - 2 - 2*l**2 - 1099*l + 543*l + 554*l - 2*l**4 to the form d*l + q*l**3 + n*l**2 + b*l**4 + k and give n. -2 Rearrange (-12849*u + 4895*u + 5604*u)*(-4*u + 3*u + 0*u) + 7*u - 7*u - 3*u**2 to the form t*u**2 + b*u + j and give t. 2347 Rearrange -5*b**3 - 6*b**4 - b**3 + 2*b**3 + 2*b**2 + 223 - 221 + 15*b + 2*b**3 to c*b**3 + t*b**2 + l*b + n*b**4 + f and give f. 2 Express 92 - 78 - 250*t - 227*t - 95*t in the form v + o*t and give v. 14 Express 292 - 7*q - 272 + 7*q + 73*q + 43*q in the form t + u*q and give u. 116 Rearrange 22*h**4 - 2 - 9953*h + 10185*h + 2*h**2 + 6*h**3 - 20*h**4 to the form d*h + o + v*h**4 + g*h**3 + x*h**2 and give x. 2 Express -10*t**4 - 242*t - 119 - 233*t + 473*t in the form o*t**2 + s*t**4 + m*t + y*t**3 + b and give b. -119 Rearrange y + 100*y**2 - 99*y**2 + 493 + 5004 + 1382 to q + o*y**2 + i*y and give o. 1 Express -6*t + 5*t + 7*t**4 - 3*t**4 + 11*t**2 - 2*t**3 + 48 + 10 - 14 in the form p + s*t + r*t**3 + q*t**2 + z*t**4 and give p. 44 Rearrange 11476*w + 990*w + 1256*w to p*w + t and give p. 13722 Rearrange ((-19 + 2 + 0)*(5 - 3 - 3) - 2 - 1 + 5 + 1 - 4 + 4)*(14*y**3 - 3*y**3 - y**3) to the form b*y + v*y**2 + z + q*y**3 and give q. 200 Rearrange -38 - 33265*j + 131 - 57 - 36 + (5*j - 2*j - 2*j)*(-4 + 6 + 0) to x*j + n and give x. -33263 Rearrange -14309*h**3 + 12 + 2*h**2 + 7153*h**3 + 7148*h**3 + 3*h**2 + h to g + w*h**2 + b*h**3 + p*h and give w. 5 Rearrange 21*l - 4*l**3 - 15*l**3 + 13 - 11 + 12*l**2 + 7*l**2 - 20*l**2 to the form o + t*l + r*l**3 + v*l**2 and give r. -19 Express 36*t - 7*t**2 + 4*t - 29 - 36*t - t**4 - 4*t**3 + 6*t**2 in the form u*t**4 + p + i*t**3 + l*t**2 + j*t and give j. 4 Rearrange -672082*g - 22*g**2 - 1 + 1344091*g - 672047*g to the form x*g + l + n*g**2 and give x. -38 Express 2*c**4 - c - 216*c**3 + 231*c**3 + 1 + 0*c - 14*c**3 + 55*c**2 as j + o*c + d*c**3 + m*c**4 + w*c**2 and give m. 2 Rearrange -20903*p**2 + 282*p - 603*p - 812*p**2 + 321*p to the form o*p**2 + r + f*p and give o. -21715 Express w**3 - 5*w**3 + 5*w**3 + (4*w - 4*w - 2*w**2)*(-102 - 70 + 174 + 45*w) in the form v*w + s + a*w**3 + c*w**2 and give c. -4 Express 2 - 2*m + 3*m - 12 - 5*m + m**4 + 7 - 40*m**3 as k*m**3 + y + z*m**4 + h*m + t*m**2 and give y. -3 Rearrange -22*a**2 + 32*a**2 - 18*a**2 - 11 + 10*a**2 + 66*a to the form x*a + c + t*a**2 and give c. -11 Express 1992 + 2206 + 2410 - 31*c + 1757 + 29*c in the form r + u*c and give r. 8365 Express -11 + 2*s**4 + 22*s**2 - 14*s**3 - 51*s**3 + 2*s + 64*s**3 as r*s**3 + w + d*s**2 + j*s + p*s**4 and give r. -1 Rearrange 2*b**2 - 2*b**2 - 16*b**2 + (2*b - 7*b - b)*(16 + 4*b - 3 - 10) to j + t*b + u*b**2 and give j. 0 Rearrange 5655 - 5653 + 1585*c**2 - 227*c**2 to y*c + v*c**2 + p and give v. 1358 Rearrange (3*u - 6*u + u)*(-6*u**2 + 60 - 57 + 21*u**2) + (-2*u**2 - 2*u**2 + 11*u**2)*(-6*u + 2*u + 2*u) to the form b*u**2 + r*u**3 + a*u + z and give r. -44 Express (250*h - 32*h + 77*h)*(-h - 3 + 3) - 9*h**2 + h**2 + 16*h**2 as x + u*h + w*h**2 and give u. 0 Rearrange -1706*l + 215*l - 1179*l - 1001*l to the form i + h*l and give h. -3671 Express 88 - 52 - 36 + 8*r - 154*r**2 + 533*r**2 in the form i + m*r + v*r**2 and give v. 379 Rearrange (-10 + 7*b - 12*b + 8*b)*(-44 - 13 - 20) to the form o + z*b and give z. -231 Rearrange (3*y - y - y)*(2*y**3 - 2*y**3 + y**3) + 6108 - 442*y**4 - 6108 to the form b*y**4 + i*y**2 + t + h*y**3 + f*y and give b. -441 Rearrange 4 + 11 - 130*c**2 - 53*c**2 + 2 - 18 to s*c**2 + v*c + i and give i. -1 Express 2230 + 903 - o**3 - 478 + 2*o**3 in the form s*o**3 + b + j*o**2 + h*o and give b. 2655 Rearrange -2631*b**2 + 17*b - 64*b + 3*b**3 + 2632*b**2 to y*b**2 + p*b**3 + n + l*b and give l. -47 Rearrange (o - o + o + (-4*o + 0*o + 2*o)*(0 + 2 - 3) - 1 + 1 - 2*o + o + o + 0*o)*(-72 + 72 + 4*o)*(-92 - 80 + 155) to n*o**2 + c + k*o and give n. -204 Express 356774*a + 6 - 349373*a - 6 as s*a + o and give s. 7401 Rearrange 12*c - 11*c - 8*c + (-4 + 0 + 1)*(-44 + 44 + 6*c) - 12*c - 10*c - 44*c to the form j*c + d and give j. -91 Rearrange t**4 - 1 + 2 - 36520*t + 36545*t - 2 + 2*t**3 to the form h*t**2 + p*t**4 + o + m*t + f*t**3 and give m. 25 Rearrange ((i - 2*i**2 - i)*(0 - 3 + 2) - 3*i + 3*i + i**2 + 1048*i**2 + 893*i**2 - 596*i**2)*(-1 - 6*i + 1) to a + t*i + q*i**2 + s*i**3 and give s. -8088 Express -5 + 6 + 1772*j - 4699*j**3 - 1774*j - 1 as a*j + v*j**2 + u + o*j**3 and give a. -2 Rearrange (-6 + 3 + 1)*(3*n + 17*n + n) + 0*n + n + n + (-7 + 1 + 1)*(0*n - 5*n + 4*n) to the form w*n + u and give w. -35 Rearrange (2*p**3 + 2 - 2)*((1 + 1 - 3)*(722 + 72 + 34) - 3 + 1 - 1 + (-2 - 3 + 7)*(3 - 5 + 1)) to o + x*p**2 + u*p + n*p**3 and give n. -1666 Rearrange (-1183032*a + 4 + 2366103*a - 1184239*a)*(a**3 + 2*a - 2*a) to the form v*a**4 + t*a**2 + m + f*a**3 + g*a and give f. 4 Rearrange (d**2 - 2*d + 2*d)*(75 - d - 24 - 93) + (-4*d + 80 - 80)*(-2 + 2 - 3*d**2) to g*d**3 + x*d + q + u*d**2 and give u. -42 Rearrange 1743 - 584 - 592 - 577 - 267*t to the form o*t + p and give p. -10 Express ((-3*d + 2*d + 3*d)*(0*d**2 - 1 + d + d**2 + 4) + 25*d**3 - 8*d**3 - 23*d**3 - 4*d**2)*(-1 - 4 + 1) in the form s*d + f*d**3 + t + b*d**2 and give f. 16 Rearrange -3*v**4 + 0*v**4 + 4*v**4 + (8 - 5 - 1)*(25*v**4 - 7*v**4 + 6*v**4) to the form c + g*v + k*v**2 + j*v**3 + a*v**4 and give a. 49 Express (4*y**2 + 0*y**2 - 2*y**2)*(1152 + 770 + 19)*(0*y + y + 0*y) as i*y + q + k*y**2 + j*y**3 and give j. 3882 Rearrange (-1 - 173*x**4 + 3*x - x**3 - 60*x**4 + 227*x**4)*(0 +
{ "pile_set_name": "DM Mathematics" }
-5 (-2)/(-36)*((-112)/64 + 1) -1/24 Calculate -25*22/(-5500)*(-8)/(-6). 2/15 Calculate (-1 - (-42)/38) + 508/(-4826). 0 What is the value of (-55 - -63 - 156/(-75)) + 10/(-125)? 10 What is 45/165 - (-387)/33? 12 Calculate (-8)/3*(-1695)/12430. 4/11 430/(-700)*5 - (28/(-8) - -3) -18/7 What is the value of (-32 - -28)*(-10)/8 - 3/1? 2 What is ((-1)/((-20)/(-7)) + 267/(-1068))*-5? 3 Calculate (22/7 - 3)*-93 + 14/49. -13 -7 + 489/39 + -6 -6/13 What is 1533/(-3285)*(-20)/(-6)? -14/9 (-48697)/1254 + (-2 - -41) 1/6 16/(-12) + (-3 - -1) + (-80)/(-30) -2/3 ((-40)/(-140))/(18/105) 5/3 What is the value of (12/(-2) + 13 + 3)*(-18)/(-30)? 6 Evaluate (-6 - -7) + (36/21)/((-21)/(-343)). 29 What is the value of (-116)/12 - 130/(-195)? -9 ((-2)/(-5))/((-49)/(2744/16)) -7/5 What is 4/26*(-852 - -846)? -12/13 What is the value of (-29)/((-725)/(-250)) - 10? -20 What is the value of (5*45/(-75))/1? -3 49950/6216 - 1/28 8 (386/1930)/(1/115) 23 0/15 - 11 - ((-10)/2 + 2) -8 What is (-6 - -3)/(((-6)/16)/((-29)/(-1044)))? 2/9 Evaluate (-525)/(-1400)*160/(-132). -5/11 Calculate ((-16)/(-8))/(((-14)/(-3))/1). 3/7 What is the value of (-8 - (-416)/24)*(66/12 + -7)? -14 Calculate (-1 + 5/4)*2912/(-9828). -2/27 (-315)/1200 + (-2)/(-10) - (-13)/(-104) -3/16 What is the value of (-51 - (-6399)/135)/((-6)/20)? 12 What is the value of ((-15)/135)/(28/(-672))? 8/3 25 + (-17 - -2) + -6*4 -14 What is the value of (14/(-4) - (-8897)/2214)*(-4)/(-14)? 4/27 (-442)/(-39)*(-9)/88 - 5/(-4) 1/11 120/(-7) - (-928)/812 -16 Calculate -28*(572/(-91))/(-22). -8 Evaluate (1/(-11))/((330/45)/22). -3/11 What is (27/(-15))/(-3)*-36*(-160)/128? 27 What is the value of (-1815)/1089*(6 + 0)? -10 Calculate ((-10)/(-10) + 3)*(-65)/(-20). 13 What is 45/50*1*56/36? 7/5 Calculate 14 - 1917/144 - (-2)/(-4). 3/16 (-11)/(11/(-6)) + (-148)/10 - -8 -4/5 What is 12 + (-21)/(-42)*-10? 7 What is the value of (-17 - 366/(-21))*7/5? 3/5 Calculate (61/(-12) - (341/(-44) + 8)) + 6. 2/3 (-126)/(-22) + ((-17 - -12) + 4 - 5) -3/11 What is the value of 48/8 + -15 - -9? 0 Evaluate (21/15*16/112)/((-2)/(-18)). 9/5 What is ((-14)/(-35))/((28/525)/(1/(-10)))? -3/4 (-94 - -88)*4/(-12)*2 4 (-46 - -43) + 27/36 -9/4 Calculate ((-8)/12*3)/((-350)/(-75)). -3/7 What is the value of (-3)/4 - 135/972? -8/9 What is 26/1820*42 + 3/(240/(-53))? -1/16 Evaluate 11 - 2/(62/(-279)). 20 What is 69/12 + 1*(-63)/(-9)*-1? -5/4 What is the value of -3*(((-636)/(-1431))/(1/12) - 2)? -10 Calculate (-19)/(152/48) - 2. -8 Evaluate (3 - 1)*-2*(1/(-4) + 1). -3 -3*(-10)/18*(-1998)/(-1110) 3 Calculate -13 + 55 - (-14 - (-38 - -14)). 32 Evaluate (-222)/(-32) + 1 + (40 + -40 - 8). -1/16 What is 21/((-7497)/34)*-42? 4 What is ((-8)/14)/(1 + (-270)/105)? 4/11 Calculate ((-85)/765)/(1/(-6)). 2/3 What is the value of (11 - 1119/102)/(4/(-8))? -1/17 What is the value of ((-332)/(-8964))/(3/18)? 2/9 What is the value of (-12)/(-6)*((-26)/(-195))/(4/(-6))? -2/5 What is the value of (-605)/(-77) + 6/(-14)*(-10)/30? 8 Evaluate (1 - 21) + (400/(-80))/(1/1). -25 Calculate 3 + -18 - -8 - (-1827)/259. 2/37 (-2*((-4)/(-5))/1)/(408/(-1530)) 6 (462/55 - 8)/((-124)/120 + 1) -12 Evaluate 0 + 72/(-135)*5/2. -4/3 -4 - 444/(-84) - (1 + 0) 2/7 What is (-4)/(-12)*0 - (40 + -14)? -26 Evaluate ((26/884)/(7/(-28)))/(6/9). -3/17 What is the value of ((-1)/(-9))/((-149)/(-14751))? 11 Evaluate (6 - 14 - -6)/33. -2/33 Evaluate ((-188)/(-987))/(3 - 7*5/15). 2/7 Evaluate (-164)/(-246) - 195/9. -21 What is the value of 4 + 72/48 + 9/(-6)? 4 What is the value of 40/(-3) - 1157/(-89)? -1/3 Calculate ((-18)/(-22))/3 + (85696/176)/26. 19 What is the value of 6 - 2 - 6 - ((24 - 1) + -3)? -22 What is the value of ((-412)/7)/4 - (20 + (-1932)/98)? -15 Calculate 4*(-5 + ((-114)/(-24) - 2)). -9 What is the value of 144/(-960)*55/33? -1/4 Calculate 3 - 5 - (40/35)/(5/35). -10 ((-40)/75)/(3 - (18/30 + 2)) -4/3 Calculate 35/5 - (6/(-45) + 1908/135). -7 (12 + 8261/(-693))/((-24)/(-168)) 5/9 2/5 + (6/(-4))/((-2010)/(-576)) -2/67 What is 140/2310 + (-155)/(-165)? 1 What is ((-12)/36)/((-22)/(-636)) + 12/(-33)? -10 What is ((-228)/(-24))/(-19)*-10? 5 What is (54/(-21))/((-75)/350)? 12 Evaluate (-66)/(10 - 4) + 5 + 32/4. 2 ((-5)/(-675)*36)/(1/12) 16/5 Evaluate (153/(-27))/(-17) - (-460)/69. 7 What is (6/((-216)/(-30)))/(-3 + 133/21)? 1/4 Evaluate (-2)/15 - (36366/1305 + -13 + 0). -15 What is (0 + (-6)/20)*3990/19152? -1/16 Calculate ((-9)/14)/((-234)/546) + (-50)/44. 4/11 What is the value of ((-5)/2*(-8)/15)/4? 1/3 Calculate (-39 + 24)*((-12)/(-45))/(-4)*6. 6 What is the value of (-41)/(2583/27)*5? -15/7 Evaluate 4/(544/(-956)) + (24 - (-22 + 39)). -1/34 What is (2 - 1)/((-386)/(-48) + (-18)/48)? 3/23 Evaluate 192/21 - (-4)/(76/(-171)). 1/7 What is (1638/(-936))/(7/(-6))? 3/2 What is the value of -2*4/192*(-711)/79? 3/8 What is the value of 5 - -2 - ((-13)/260 - 6084/(-880))? 3/22 What is 28/(-882)*-18 - 1/(-210)*-106? 1/15 What is the value of 2/8*-2*(-6 - 130/(-21))? -2/21 Calculate ((-16 - -5) + -5)*1. -16 Calculate (-10)/3 + 184/(-69). -6 Calculate 10010/(-4719) + 42/(-77). -8/3 What is the value of 2 + -4*345/600? -3/10 Calculate 8/22 + ((-126)/(-49))/(440/6440). 38 Evaluate -25 - (-38 - (-36 + 15)). -8 Calculate (-5 - -5)*22/(-132). 0 Evaluate 4/49*((-1189)/58 + 24). 2/7 Evaluate 8/((-112)/126) + 5 + 2 - -2. 0 What is the value of -3*16/1224*(45/(-10) - -3)? 1/17 What is the value of (-126)/286 - (-56)/154? -1/13 (-30)/25*(-390)/(-4368) -3/28 What is (-1313)/65 + 64 + -44? -1/5 Calculate 2/28 + (-702)/(-1638). 1/2 What is (-1 - 8/(-11)) + 27/99 + -1? -1 25/(-14)*(-198)/27 - 2/21 13 What is 17 + 8 + (-616)/24? -2/3 Evaluate ((-2)/10)/((-105)/(-7875)). -15 Evaluate ((1098/(-78) - -16) + -2)*(-3 + 0). 3/13 (14/10 - (-248)/(-186)) + 5/300 1/12 6/7*(-4)/12 -2/7 Calculate (594/(-16) - -6) + (-520)/(-64) + -8. -31 What is the value of 106/38 - (-17 + 780/48)*-4? -4/19 What is the value of (44 + (-378)/7)*((-12)/(-5))/4? -6 Calculate (-52)/39*(-6 - (-477)/78). -2/13 What is 10/(80/(-24)) - -36? 33 Evaluate ((-16)/(-21)*(-6)/4)/((-630)/441). 4/5 7396/(-1849)*((-27)/(-4))/(3/1) -9 (-3770)/(-2175)*((-4)/10)/((-16)/(-60)) -13/5 ((-76)/(-57))/(-3 + 32/12) -4 Evaluate (4 + -3*(-70)/(-6))/(-1). 31 What is 408/(-1020) - (-46)/(-10)? -5 What is 14*(974/3212 - 11/121) + -3? -2/73 What is (2 - 5/(-45)*-15) + 50/(-6)? -8 What is 6/(-21)*-7 - 39/15? -3/5 Evaluate (-20)/(-3)*((-42687)/(-372))/(-153). -5 23*-1 - (-117)/((-377)/(-29)) -14 Evaluate (-287)/13 - (25 - (-978)/(-39)). -22 Calculate (-7)/(-8) - (1/(-3))/((-264)/(-99)). 1 What is the value of (-3 - 2340/126) + 1*(-4)/(-7)? -21 Evaluate (-36)/(-990) - (-26360)/1100. 24 Calculate (425/34 - 12)/(1 - 3 - -1). -1/2 What is the value of ((-42)/(-48))/(80/(-320))? -7/2 What is (-58)/4 - (-2505)/(-1670)? -16 Evaluate 70/92 - (-151)/(-302). 6/23 Evaluate (-120)/57 + 2 - (18 + (-2076)/228). -9 What is the value of ((-2380)/(-1904))/(30/32 - 1)? -20 20/125*(-5)/(-6) - 939/(-45) 21 What is the value of 117/(-130)*(-30)/(-18)? -3/2 Evaluate (-4)/(((-16)/(-4))/(-4))*18/(-18). -4 What is ((-396)/(-495))/((-4)/30)? -6 What is 106710/(-3720) + 29 + 2/(-31)? 1/4 Evaluate (53/(-12) - -4)*(-1 - 6/(-10)). 1/6 What is the value of -4*444/(-8448) - (-6)/(-22)? -1/16 What is the value of (-376)/705*(-15)/6? 4/3 What is (2 - 0/8)*7/(-14)? -1 What is (-6)/4*(30/45 - -1)? -5/2 Calculate (-4053)/12495 + 42/119. 1/35 Evaluate 24/(-80)*8/(-12). 1/5 What is the value of 95/(-70) + 54/36? 1/7 578/29 - (-43)/11223*18 20 What is the value of (-8)/(-6) - 68/60 - (-129)/(-495)? -2/33 (-8 - 2) + (0 - -4) + 437/76 -1/4 What is (2772/30)/7*120/72? 22 Calculate 84/(10 - -4) + -14. -8 (-2 - 3/(-1))/(6 - 316/52) -13 49/(-14) + 279/78 1/13 Evaluate (7 - 2/2)*67/266526*-34. -2/39 -4 - ((-8988)/308 + 25) 2/11 Evaluate (60/168)/((-88)/(-308)). 5/4 Calculate 4/6*-12*(-35)/2380. 2/17 Evaluate (-1)/3 + 80/(-6) + 22/33. -13 Calculate (-71 + (-28594)/(-406))/((-5)/7). 4/5 145010/(-5971) + (-18)/(-14) -23 What is (75/975)/((-1)/(-13)) - -1? 2 What is the value of 0 + 7 + 15 + 356/(-16)? -1/4 Calculate 215/(-100) - 164/(-41)*1/10. -7/4 What is ((-4)/(-42))/((-48)/(-224))? 4/9 Calculate ((-448)/(-24))/14*39/(-2). -26 What is (-24 - -18)*(-12)/(-9)? -8 Evaluate (5*(-6)/12)/((-10)/24). 6 Evaluate 6/(-10)*110
{ "pile_set_name": "DM Mathematics" }
- 2 + 4*s - 6*s**2. Suppose 5*o = -l + o + 22, -2*o + 2 = -4*l. Does 12 divide i(l)? True Let j(l) = -3*l + 19. Let r be j(4). Suppose 108 = -3*v + r*v. Is v a multiple of 5? False Suppose -4*t = 8 - 24. Let o be (3 + t)*3/7. Suppose -7*k = -o*k - 52. Is 7 a factor of k? False Suppose 5*q + 4*y = 6*y + 577, -q + 116 = -y. Is 41 a factor of q? False Let l be 8/20 + 43/5. Let t(c) = -c**3 + 10*c**2 - 4*c - 15. Is t(l) a multiple of 22? False Let h(g) = -g + 7. Let n be h(8). Let l(w) = -78*w + 2. Is l(n) a multiple of 8? True Let k(x) = 2*x**2 + 27*x + 181. Does 4 divide k(-18)? False Suppose -5*b = -5*v - 1535, v + 1223 = 4*b + 2*v. Let c = b - 209. Is 14 a factor of c? False Let j(a) = -a**2 + a + 12. Let p be j(0). Let g = -20 + p. Let r = 4 - g. Is r a multiple of 3? True Let l be 8/(-40) + (-22)/(-10). Suppose 3*p - 5*b + 41 = 176, -l*p + 90 = b. Does 9 divide p? True Suppose -114 = 315*l - 318*l. Is l a multiple of 38? True Let q(k) = -6*k - 20. Let i be q(-5). Suppose -6*d - i*d = -2080. Is 26 a factor of d? True Does 20 divide ((-212)/(-6) + -2)*(-192)/(-40)? True Let k(h) = 166*h - 37. Is 10 a factor of k(1)? False Let z = -9 + 9. Is 8 a factor of (1 - z - 0 - 2) + 21? False Let r be 365 + -1 - (-1 - -4). Suppose -5*y + 4*j + r = 0, 0 = -y - y + j + 142. Does 13 divide y? False Let j(o) = -o**2 + 47*o - 6. Let m be j(39). Suppose 0*f + 5*f - 15 = -5*s, 5*s - 23 = 3*f. Does 34 divide (s + -1)*m/9? True Let s(n) = -n**3 + 17*n**2 - 5*n - 48. Is s(16) a multiple of 16? True Suppose 22*c + 290 = 1280. Is 9 a factor of c? True Suppose -5*c + 4*j + 269 = -71, -3*j = -3*c + 204. Is 11 a factor of c? False Suppose 456 = -5*x + 1741. Let w = x - 169. Is w a multiple of 44? True Let y = 31 + -17. Let g = 8 - y. Is (g*(-4)/(-2))/(-2) even? True Let u be (0 + 10)/(2*1). Suppose -h + 4 = 0, h - 22 - 292 = -u*t. Let n = 92 - t. Is n a multiple of 15? True Let d(o) be the third derivative of o**6/120 - 17*o**5/60 - 5*o**4/8 + o**3/6 + 36*o**2. Is 11 a factor of d(18)? True Suppose g + 5*n = 62, 3*g - 4*n = 43 + 124. Is 19 a factor of g? True Let s = 43 - 38. Let y = 17 - s. Is y a multiple of 9? False Let h be (-4)/1*518/8. Let o = -111 - h. Is 18 a factor of o? False Let p(g) = -14*g**2 + 3*g - 4. Let m be p(-4). Let q = 338 + m. Is q a multiple of 16? False Let c(j) = j**3 - 7*j**2 + 5*j + 11. Let l be c(6). Let d = l - 8. Is 150/5*(-2 - d) a multiple of 9? False Let u(l) = 19*l - 1. Let n be u(2). Suppose 0 = -0*p + 3*p - o - n, -o + 35 = 3*p. Suppose 2*h - 2*d - 28 = 0, -p = -h + 4*d + 11. Is 3 a factor of h? False Is 5 a factor of (-6)/(-2)*(630/27 + -12)? False Let l(n) = n - 1. Let p(v) be the first derivative of v**3/3 + 7*v**2 - 5*v + 3. Let r(c) = 5*l(c) - p(c). Is r(-8) a multiple of 3? False Let c(z) = -z**3 + 3*z**2 + 3*z + 3. Let j be c(4). Is 2/(-2) + (j - -25) a multiple of 3? False Let j(g) be the first derivative of 4*g**2 + 15*g + 19. Does 7 divide j(6)? True Let a = -3 - -5. Suppose 3*h + a*h = -10. Let i(n) = n**2. Is 4 a factor of i(h)? True Let p(v) = -9*v + 5 + 5 + 3 + 15*v. Does 27 divide p(4)? False Let v(a) = -a + 9. Let t be v(8). Suppose 5 = 3*k - t. Suppose -4*w = -4*p - 156, -k*w + p + 110 = 31. Is w a multiple of 6? False Suppose 0 = 91*b - 78*b - 8034. Does 6 divide b? True Let g be -3*8/(-12)*1. Let n(s) = 6*s**2 + 25*s + 1. Let p(o) = -o**2 - 5*o. Let d(t) = g*n(t) + 11*p(t). Does 5 divide d(6)? False Is 42 a factor of 2/((-70)/(-21)) + (-15351)/(-15)? False Suppose 83 - 1063 = -10*z. Suppose -3*o + 2*x + z = 0, 0 = 5*o + 2*x + 3*x - 155. Is o a multiple of 16? True Suppose 3*b - x - 46 = 0, -2 = b + 3*x - 4. Let y be (-218)/b - (-8)/14. Does 5 divide ((-48)/(-10))/(-4)*y? False Suppose -2*f + 7*f = 985. Suppose -2*a - 2*c + 126 = 0, f = -0*a + 3*a - c. Is a a multiple of 7? False Let p = -249 - -151. Let c = -62 - p. Is c a multiple of 6? True Let p(v) = -3*v. Let y be p(-5). Let t = y + -12. Suppose -t*a + 72 = -a. Does 10 divide a? False Let l(h) = 4*h**2 + 6*h + 6. Let n(p) = 3*p**2 + 7*p + 7. Let z(f) = -2*l(f) + 3*n(f). Let q be z(-7). Is 7/(-2)*(q + -3) a multiple of 25? False Suppose 0 = -5*i - 3*j - 2*j + 190, 2*i - j = 70. Is 9 a factor of i? True Suppose 194 = 138*g - 137*g. Suppose -5*c = -2*f - 172, -5*c - 5*f - 29 + g = 0. Is c a multiple of 11? False Suppose 3*j + 8*j = 22. Suppose 4*a - 5*l + 10 = 158, -j*a + 48 = 4*l. Is 8 a factor of a? True Suppose 5*d + 4*c + 5183 + 23 = 0, -5*d - 3*c = 5207. Does 27 divide (-268)/52 + 5 - d/13? False Is ((-35)/(-15))/(28/12)*1289 a multiple of 45? False Let v = -1407 - -1913. Is v a multiple of 67? False Suppose -q = -3*q - 146. Let w = 142 + q. Is 11 a factor of w? False Suppose 5*k + 5872 = 9*k. Does 21 divide k? False Let k(o) = 20*o**2 + o - 2. Let t be k(1). Suppose 134 = -17*c + t*c. Is 14 a factor of c? False Suppose -6*f + 142 + 1028 = 0. Suppose -9*g + f = -4*g. Does 13 divide g? True Is 9 a factor of 20/((3 - 1) + 441/(-222))? False Let i = 1110 + -737. Is i a multiple of 36? False Suppose -3*j = -9, 4*l - j + 0*j = 533. Suppose -3*b + l + 145 = 0. Is b a multiple of 13? False Is 8 a factor of ((-982)/4)/((-14)/28)? False Suppose -3*p = -4*m - 1287, 6*p - 10*p + 3*m + 1716 = 0. Is 25 a factor of p? False Let k(a) = 6*a + 566. Is k(0) a multiple of 23? False Suppose 5*g - 13 - 22 = 0. Let k(f) = f**3 - 8*f**2 + 8*f - 3. Let a be k(g). Suppose -142 - 34 = -a*h. Is h a multiple of 12? False Suppose -1360 = -12*h - 172. Does 34 divide h? False Suppose -6320 = -563*c + 559*c. Is c a multiple of 20? True Let o(j) = 32*j + 20. Let g be o(5). Suppose -4*f - q + 150 = q, -5*f = q - g. Does 7 divide f? True Suppose 40 = -5*n - 0*n. Let w(r) = -9*r - 9. Does 14 divide w(n)? False Let d(j) = 6*j - 1. Let p(r) = -r**3 + 4*r**2 - 2*r - 1. Let x be p(3). Suppose m + x + 3 = -4*y, -95 = -5*m + 4*y. Does 22 divide d(m)? False Let s(w) = 192*w - 212. Is s(5) a multiple of 4? True Suppose 161 = t - 3*f, -t - 4*t + 853 = f. Does 29 divide t? False Let m be 10/8*(5 - 1). Let k(r) = 4*r**2 + r - 1. Let u be k(m). Suppose u = -3*a + 5*a. Is a a multiple of 13? True Let t(k) = 4*k**2 - 2*k + 1. Let s be t(1). Suppose 3*r + 92 = s*c + 17, -110 = -4*c + 2*r. Is c a multiple of 10? True Suppose -2*d + y = -359, 4*d - 601 = -y + 120. Is d a multiple of 20? True Suppose -8068 = -17*q + 14*q + 4*x, -q - 2*x + 2686 = 0. Does 56 divide q? True Let a(f) = f + 13. Let h be a(-11). Suppose 0 = -h*y + 53 + 77. Does 13 divide y? True Suppose -8162 - 4105 = -29*a. Is 9 a factor of a? True Let r(f) = -f**2 + 12*f + 17. Suppose -4*w - g = -52, 2*w = -0*w - 5*g + 26. Let v be r(w). Is ((-39)/v)/(12/(-32)) a multiple of 20? False Let h = 0 + -3. Let u(j) be the first derivative of 5*j**3/3 + 2*j**2 + 4*j - 19. Does 11 divide u(h)? False Suppose 0 = -4*x + 3*g - 2*g + 2307, g + 1731 = 3*x. Suppose 0 = -4*r - 5*a + 572, -2*a = -4*r - 6*a + x. Is r a multiple of 37? True Let a(c) = 38*c + 8. Let m(y) = -y**2 - 11*y - 20. Let k be m(-8). Is 13 a factor of a(k)? False Suppose -7*b - 2335 = -12*b. Is b a multiple of 24? False Suppose 25*i - 24*i = -2, 3*i - 1349 = -5*y. Does 52 divide y? False Suppose -c + 3*c - 14 = 5*d, -5*c - 3*d = -4. Suppose -4 = -c*i - 0*i, 0 = l - 3*i + 4. Suppose -41 = -3*q + 4*w, -q + l*w - 6*w = -35. Is 14 a factor of q? False Suppose 5*w + 2*t + 45 = 0, 0 = -3*w - 0*w + 2*t - 43. Let z = w + 13. Suppose -z*s = 5*q - 57, -s - 4*q + q + 30 = 0. Is 6 a factor of s? False Suppose 3*b + 2*b - 255 = 0. Suppose -55 = -n - 5*d + b, 106 = n + 3*d. Is 24 a factor of n? False Let g = 10 + -5. Suppose 3*x - 3*o - 2 + g = 0, -21 = -3*x - 5*o. Suppose -x*y = -3*y + 16. Is 7 a factor of y? False Suppose 5*r - 5 = -5*u, 2*r - 4 = 4*r + 5*u. Let d be 37/r - (-2)/(-6). Suppose -4 = -a - 3*l, -5*l = 4*a - 11 - d. Is 2 a factor of a? False Let o(j) = j + 4. Let z be o(-7). Let s be z/(-5 - 1)*4. Suppose s*l = 6*l - 60. Does 15 divide l? True Suppose 5*a = 3*a + 772. Suppose -2*w + 12 = -5*w, 5*n + w = a. Is 26 a factor of n? True Let y be -124 - -10 - 1*2. Let o = -48 - y. Does 34 divide o? True Suppose -2*j + 3*w = -2*w - 50, 3*j - 37 = -2*w. Let i = 18 - j. Suppose -i*c = -10*c + 98. Does 9 divide c? False Let y = -2411 + 3633. Does 62 divide y? False Suppose 2*a - 3 = -1. Let j be (a
{ "pile_set_name": "DM Mathematics" }
*a). -187*a**5 - 2*a**4 Expand (6*n + 17 + 16 - 30 - 18*n**2)*(-2*n + 3*n + n). -36*n**3 + 12*n**2 + 6*n Expand (-42 + 86268*w - 3*w**2 - 86268*w)*(3 - 2 - 3 + (-5 - 1 + 4)*(-2 + 2 - 1) - 2 - 2 + 3). 3*w**2 + 42 Expand (-v + 0*v - 7*v)*(-4 + 1 - 3). 48*v Expand (-61 - 79 - 30 + 22)*(3*a**2 - a**2 + 0*a**2). -296*a**2 Expand -3 + 3 - 15*m**3 + (-5*m**2 - 2*m**2 + 4*m**2)*(12*m - 2 - 23*m + 0). 18*m**3 + 6*m**2 Expand (-1 + 1 + 4)*(0 - 3 + 4)*(2 - 1 + 2)*(6*n + 0*n - 8*n)*(-4*n**2 + 2*n**2 + 4*n**2). -48*n**3 Expand (1 - 3 + 1)*(-50*q - 17 + 48*q - 29). 2*q + 46 Expand (4 - 4 + 7*q**2)*(-3*q**3 + 0*q**3 + 2*q**3) + (2 - 2*q**4 - 2)*(22 - 22 - 9*q) + 4*q**5 - 2*q**5 + 0*q**5. 13*q**5 Expand (3*c - 4 + 4)*(-1 + 1 - 2)*(-58*c + 58*c + 23*c**2 + (-c + 2*c + 2*c)*(2 - 2 + 2*c)). -174*c**3 Expand -2*d**2 - d + d + d + (-5 + 5*d + 5)*(-2*d + 13 + 4 - 2). -12*d**2 + 76*d Expand (132*b - 262*b + 77 + 129*b)*(3*b**2 + 0*b**2 - 4*b**2). b**3 - 77*b**2 Expand 37*j**2 + 23*j**3 - 37*j**2 + (5 + 13 - 6)*(-2*j**3 - j**3 + 4*j**3). 35*j**3 Expand -2*j + 3 - 3 + 2*j - j + j + (-2 - 2*j + 2)*(1 - 3 + 0) + 4*j - j - j - 5*j - 5*j + 5*j - 21 + 21 + 15*j + (-2 - 5 + 2)*(2 + j - 2). 11*j Expand (-3*t**3 - t + 4*t**3 + 0*t)*(404 + 402 - 805 + 347*t). 347*t**4 + t**3 - 347*t**2 - t Expand (1 - 4 + 1)*(-3*k + 3*k - k) + 4*k - 5*k + 5*k - k - 1 + 1 + 1. 5*k + 1 Expand (-1 + 2 + 5)*(57*c - 111*c + 96*c). 252*c Expand -2*d - 2 + 0*d**3 + d**3 - 3*d**3 + 2*d**3 + 2*d**3 + d**3 + (0*d**2 - 3*d**2 + 5*d**2)*(-3 + 2*d + 3). 7*d**3 - 2*d - 2 Expand (7*l**4 + 9*l - 9*l)*(-5 + 2 + 6) + l**4 + 8*l**4 - 11*l**4. 19*l**4 Expand (10 - 1 + 0)*(9*m**2 - 12*m**2 + 6*m**2 + (-3*m + m + m)*(-5*m + 6*m + 0*m))*(0*m + m - 3*m). -36*m**3 Expand (5*s**3 - 3*s**3 - s**3)*(1 + s**2 - 1) + (s**4 + 5*s**4 + s**4)*(3*s - 5*s + 0*s). -13*s**5 Expand (3*s**2 + 0*s**2 - 5*s**2)*(15*s - 26*s + 4*s**3 - s**3). -6*s**5 + 22*s**3 Expand (3*n**3 + 7*n**3 + 40*n**3)*(0 + 1 + 0)*(-4 - 2 + 2). -200*n**3 Expand (-a**3 + 3*a**3 + 0*a**3)*(37 - 169 + 69 + 61 - 757*a). -1514*a**4 - 4*a**3 Expand 2*p**5 + 0*p**5 + 0*p**5 + (-p**2 + 3*p**2 - 4*p**2)*(-p**3 + 0 + 0) - 3*p**5 + 3*p**5 - p**5 + (-1 + 1 + p**3)*(-4 + 8 + 1)*(4*p**2 - p**2 - 4*p**2). -2*p**5 Expand (5 + 6 - 23)*(-29*o - 4*o**2 + 29*o). 48*o**2 Expand -c**5 - 5*c**5 + 3*c**5 + (-2*c**2 + 1 - 1)*(0*c**3 - 2*c**3 + 4*c**3) + 161*c**4 - 2*c**2 + 5*c**5 - 161*c**4 + 2*c**3. -2*c**5 + 2*c**3 - 2*c**2 Expand (3*p + 63 - 91 - 59)*(-2*p**2 + 5*p**2 - p**2). 6*p**3 - 174*p**2 Expand 2*l - l - 3*l + 3 - 3 + l + (-5 - 2*l + 5)*(-4 + 1 + 2) - 1 + 1 - 2*l - l + 3 - 3 - 4*l - 29*l - 2*l + 0*l + 0*l + 2*l. -35*l Expand (-4*j + 2*j + 0*j)*(-j - 3*j + 0*j) - 3*j**2 + 0*j**2 + 5*j**2 + (0*j + 0*j + 2*j)*(0*j + 4*j - 2*j). 14*j**2 Expand (-7 + 7 - 2*i)*(3*i - i - 3*i) + (-2*i + 2*i + i)*(3*i - i - i). 3*i**2 Expand (-k + k - 3*k)*(-4 + 6 + 0 - 5 + 1 + 6 - 1 + 2 - 3 + (-3 - 3 + 5)*(-5 + 2 + 5) + 0 - 1 + 2 - 3 + 3 - 2)*(-112 - 77 + 18). -513*k Expand (-1 + 3 - 4)*(-14 - 10 - 22)*(-3*v + 5*v + 5*v)*(v**2 - v**2 + 2*v**2). 1288*v**3 Expand (3*q - 109 + 109)*(6*q**3 + 12*q**3 - 7*q**3). 33*q**4 Expand (-z + 4 - 4)*(4*z - 2*z + 55 + 2*z**4 - 39). -2*z**5 - 2*z**2 - 16*z Expand (u + 6*u + 6*u)*(2*u**2 - 2*u**3 - 2*u**2)*(-4 + 0 + 2)*(7 - 5 + 9). 572*u**4 Expand (134 + 52 - 24)*(2 + 4*j - 2). 648*j Expand (-51 + 24*s + 51)*(-9*s**2 + 4*s**2 + 4*s + 4*s**2). -24*s**3 + 96*s**2 Expand (5*f + 5*f - 11*f + 2)*(0 + 0 - f). f**2 - 2*f Expand (-9*c + 8*c + 165*c**4 + 59*c**4)*(-1 + 2 + 0) + 4*c**4 - 3*c**4 + c**4. 226*c**4 - c Expand (-2*n - 3*n + n)*(-2*n + 2*n + 2*n**2) + (0*n - 2*n**2 + 0*n)*(-2 + n + 2) - 15*n**3 - 11*n**3 - 4*n**3. -40*n**3 Expand (-5 + 3 + 4 - 2 + 0 + 3 + (3 + 2 - 3)*(-4 - 3 + 5) + 5402 - 1965 - 2621)*(-1 + 1 + o**3). 815*o**3 Expand (4 + 1 - 6)*((5*l - 4*l - 3*l)*(-2 - 1 + 1) - 4 - l + 4 - l - 1 + 1). -2*l Expand 0*k + 0*k - 2*k**5 + (4 - k**3 - 4)*(48*k**2 + 37*k**2 + 19*k**2). -106*k**5 Expand -a**3 + 0 + 0 + (0*a + 2*a + 0*a)*(2*a - 2*a + a**2) + (37 - 37 + 3*a**3)*(1 + 2 + 0) - a**3 + 0*a + 0*a. 9*a**3 Expand (-2253*g**3 + 2252*g**3 + 2 - 6*g + 5*g**2 - 8*g**2)*(6 + 3 - 7). -2*g**3 - 6*g**2 - 12*g + 4 Expand -1 - x + 1 + (-5 + 4 + 0)*(1498*x + 1414*x - 2831*x). -82*x Expand (4*k + k - 4*k)*(-316*k + 284*k - 71*k - 581*k). -684*k**2 Expand (-b + 0 + 0)*(-b + 2*b + b) + 6*b**2 - 3*b**2 - 4*b**2 - b**2 - 3*b**2 + 3*b**2 + 146*b + 2598 - 2598 + 3*b**2. -b**2 + 146*b Expand ((-2 - y + 2)*(4 + 0 - 2) - y + 4 - 4 + 3*y + 5*y - 6*y + 46 - 9*y - 46)*(-4*y**2 - 2*y**2 + 5*y**2)*(3 + 1 - 3)*(-1 + 2*y**2 + 1). 20*y**5 Expand -h**3 + h**3 + 2*h**5 + (144 - 8 - 70)*(4*h**5 + 0*h**5 - 2*h**5). 134*h**5 Expand (-2 - 1 - 6)*(-5*j - 8*j - 2*j + 5*j + j - 4*j + (-3 - 2*j + 3)*(2 - 1 + 0) + 2 - 2 - 2*j). 153*j Expand (1 + 2 - 6)*(0*y + 5*y - 3*y) + 0 - 4 + 2 + 25*y. 19*y - 2 Expand ((0 + 0 - 3*p)*(-13 - 9 + 9) + p - 3*p + 42*p)*(0 - 2 + 3 + (1 - 1 - 2)*(3 - 1 - 1)). -79*p Expand (101 + 115 - 182)*(-q**2 + 3*q**2 - q**2). 34*q**2 Expand -113*z**3 + 260*z**2 - 260*z**2 + z**3 + z**3 - 9*z**3 + ((2*z - 2*z + z**2)*(4 - 3 - 3) - 3 + 3 + z**2 - z**2 - z**2 + 0*z**2)*(z - 2*z - z). -114*z**3 Expand (-4*t - 4 + 4)*(-4 + 2 - 1) - 69 + 69 - 41*t + (0 + t + 0)*(0 - 2 + 0). -31*t Expand (-2 - 3 + 3)*(-57*w**2 - 49*w**2 - 89*w + 108*w**2 - 12*w**3). 24*w**3 - 4*w**2 + 178*w Expand (-41*d - 53*d + 44*d)*(d - d**2 - d + (3*d - 5*d + 0*d)*(3 + 2*d - 3) + 2*d**2 + 0*d**2 - 3*d**2 + d**2 + 0*d**2 + 0*d**2 + 3*d**2 - 6*d**2 + 0*d**2). 400*d**3 Expand (2*b**2 + 0*b**2 - b**2)*(0*b + b**2 + 0*b) - 276284*b**4 + 276365*b**4 - 6 + 2. 82*b**4 - 4 Expand (-27*i**2 - 3*i**2 + 3*i**2)*(i - 4*i + i)*(0*i - i**2 + 0*i). -54*i**5 Expand (-11*p + 5*p - 16*p)*(-3*p**2 + 2*p**2 - 6*p**2). 154*p**3 Expand (-p + 2*p - 3*p)*(-12 + 6 - 4) + 2 + p - 4*p + 2*p. 19*p + 2 Expand (-224 + 224 - 23*p)*(1 - p - p - 2). 46*p**2 + 23*p Expand (1847*l + 848 - 848)*(-1 + 0 + 3). 3694*l Expand (0*i + 0*i - i)*(-3 + 0 + 4) - 3*i + 3*i - 2*i + (-9*i + 18*i + 2*i)*(2 + 0 - 4) - i - 1 + 1 + 2 - 2 + i. -25*i Expand (-4 - 3 + 4)*(-6*l - l + 0*l)*((-2*l + 7*l - 3*l)*(2*l + 2*l - 2*l) - 7 + 7 - 3*l**2 - 3*l**2 - 1 + 1). -42*l**3 Expand (5*g - g - 3*g)*(2 - 1 + 4) + 1355*g - 19 - 1356*g + 0. 4*g - 19 Expand 3*d - 975*d**2 + 975*d**2 - 57*d**5 - 2*d**5 + 2*d**5 + d**5 + d**3 + 2*d**5 - d**3 + (3*d**3 + 2*d**4 - 3*d**3)*(d + 3*d - 6*d). -58*d**5 + 3*d Expand (-6*y + 22*y + 0*y)*(5*y - y - 2*y) - 2*y**2 - 2*y**2 + 5*y**2. 33*y**2 Expand ((3 - 2 + 0)*(6*g - 3*g - g) - 4*g - g + 4*g)*(-g + 0*g - 4*g)*(148*g - 134*g**2 - 148*g). 670*g**4 Expand ((-3 + 1 + 4)*(-3 - 2 + 3) - 229 + 75 - 363)*(-4 + 1 + 2)*(3*s - 2*s - 2*s). -521*s Expand -321*i - 8 + 18 + 271*i - 10 + (-3 + 2 + 2)*(-2 - 2*i + 2). -52*i Expand 3041*y**2 - 182*y**4 - 3041*y**2 + (y - 3*y + y)*(-y**3 + y**3 + y**3) + y**4 + 0*y**2 + 0*y**2. -182*y**4 Expand (-2*c + 2*c - 2*c)*(2 - 2*c - 2) + 126*c**2 - 56*c**2 - 71*c**2 + 3 + 30*c. 3*c**2 + 30*c + 3 Expand (52 - 25 + 182)*((m**2 + 0*m**2 + 0*m**2)*(3*m - 4*m + 0*m) + 2*m**3 - 4*m**3 + m**3 + (-4*m - 3*m**2 + 4*m)*(-2*m + 3*m - 2*m)). 209*m**3 Expand 2*l - 2*l - l**2 - 1 + (12*l**2 + 7*l**2 + 7*l**2)*(0 + 1 + 1) + 2*l - 4*l**2 - 2*l. 47*l**2 - 1 Expand (-5*a**2 - 2*a**2 - 2 + 5*a**2)*(3*a + 2*a - 7*a) - 152*a**3 + 956*a - 956*a + a - a - 2*a**3. -150*a**3 + 4*a Expand ((-3 + 2 + 0)*(-3 + 0 + 4) + (5 + 2 - 4)*(-1 - 3 + 2) - 3 - 3 - 1)*(p**2 + p**2 - 5*p**2) - p + p - 2*p**2. 40*p**2 Expand -s - s + s + (34*s + 4*s - 12*s)*(-1 + 2 + 2). 77*s Expand (138*b - 138*b + 64*b**4)*(-3*b + 0*b + b - 4*b + 5*b - 2*b - b - 1 + 1 + (0 + 4 - 6)*(2 - 2 + 2*b) - 2*b + 1 - 1 + 2*b + 1 - 1). -512*b**5 Expand (4 - 1 - 4)*(584 - 3*f**3 - 586 + 5*f**3 - f**2 - 9*f). -2*f**3 + f**2 + 9*f + 2 Expand (597*l + 1563*l - 150*l)*(-2*l**4 - l**4 + 5*l**4). 4020*l**5 Expand ((h**2 + 4*h**2 - 3*h**2)*(5 - 3 - 4) + 0*h**2 + 0*h**2 - h**2 + 121 - 121 + 19*h**2)*(4 - 2 + 3)*(-2*h + 0 + 0). -140*h**3 Expand (-g + 5*g - 2*g)*(0*g**3 - g**3 + 2*g**3) + 19*g**4 + 813*g**3 - 802*g**3 + 9*g**4. 30*g**4 + 11*g**3 Expand 1413*l - 1412*l + 10 - 73 - 2 + 2 - l + 3 - 2*l - 3 - 3 - l + 3 - 1 + 1 - 2*l + 2*l + 2 - 2 + (-l - 2*l + l)*(2 + 0 - 4) + 2*l - 1 + 1. 3*l - 63 Expan
{ "pile_set_name": "DM Mathematics" }
rob of sequence ad when two letters picked without replacement from {d: 5, a: 8}? 10/39 Calculate prob of sequence nj when two letters picked without replacement from {a: 2, n: 2, j: 3, v: 4}. 3/55 Three letters picked without replacement from gggvkgbgbevgv. What is prob of sequence kkg? 0 What is prob of sequence yy when two letters picked without replacement from {r: 2, y: 4, p: 1, w: 2}? 1/6 Four letters picked without replacement from {f: 2, g: 4, s: 6}. What is prob of sequence gfss? 2/99 Four letters picked without replacement from fpppffppfpppfp. What is prob of sequence fppf? 60/1001 What is prob of sequence uj when two letters picked without replacement from {u: 4, j: 2, i: 2, f: 2}? 4/45 Four letters picked without replacement from {i: 6}. What is prob of sequence iiii? 1 Two letters picked without replacement from {k: 1, a: 1, z: 2, i: 1, b: 1, j: 1}. What is prob of sequence ib? 1/42 What is prob of sequence dddd when four letters picked without replacement from kdddddddddddddd? 11/15 Calculate prob of sequence oo when two letters picked without replacement from {f: 6, o: 2}. 1/28 Calculate prob of sequence kl when two letters picked without replacement from baanwklbbllalbbb. 1/60 Four letters picked without replacement from {f: 4, m: 2}. Give prob of sequence ffmf. 2/15 Four letters picked without replacement from qktvkq. What is prob of sequence qkqk? 1/90 What is prob of sequence vvvj when four letters picked without replacement from {j: 3, v: 1}? 0 What is prob of sequence eej when three letters picked without replacement from {e: 3, p: 1, u: 11, j: 2, a: 1}? 1/408 Three letters picked without replacement from dzbrudc. Give prob of sequence ucr. 1/210 Two letters picked without replacement from {a: 4, p: 1, i: 4, t: 5, u: 1, f: 3}. What is prob of sequence up? 1/306 Calculate prob of sequence aw when two letters picked without replacement from aqnwq. 1/20 Three letters picked without replacement from {h: 6, b: 1, o: 3, x: 3}. Give prob of sequence hxh. 15/286 What is prob of sequence umm when three letters picked without replacement from uuumuuumuummuu? 5/91 Two letters picked without replacement from emeccmgeemcccc. What is prob of sequence gm? 3/182 Calculate prob of sequence yjnk when four letters picked without replacement from {n: 1, y: 2, k: 6, f: 1, j: 9}. 3/2584 Three letters picked without replacement from {b: 1, o: 1, i: 2, y: 2, c: 2}. What is prob of sequence iyy? 1/84 Two letters picked without replacement from pkakmkmkkamak. What is prob of sequence am? 3/52 Two letters picked without replacement from {u: 5, t: 2, f: 2}. Give prob of sequence fu. 5/36 Calculate prob of sequence vv when two letters picked without replacement from {v: 11, u: 3}. 55/91 What is prob of sequence ne when two letters picked without replacement from eeettan? 1/14 Two letters picked without replacement from mwemwnlmmcmwnmn. Give prob of sequence lw. 1/70 Four letters picked without replacement from mmedapmpdppemm. What is prob of sequence pmed? 10/3003 Three letters picked without replacement from qnnnqqnnnnnqnnnnnnn. What is prob of sequence nqn? 140/969 Three letters picked without replacement from uxxxuuuu. Give prob of sequence uxu. 5/28 Two letters picked without replacement from {h: 3, k: 1, i: 2, d: 1, e: 6}. Give prob of sequence id. 1/78 Three letters picked without replacement from spsssspissssppppsps. What is prob of sequence pip? 7/969 Three letters picked without replacement from mawaawa. Give prob of sequence aaw. 4/35 Calculate prob of sequence rr when two letters picked without replacement from {e: 2, r: 3}. 3/10 What is prob of sequence jj when two letters picked without replacement from bzzjjjcczczczcckz? 3/136 Two letters picked without replacement from xkqqqqokikkq. Give prob of sequence io. 1/132 What is prob of sequence ot when two letters picked without replacement from eeetgtgtetetgto? 1/35 Two letters picked without replacement from {n: 1, u: 11}. Give prob of sequence nu. 1/12 What is prob of sequence blql when four letters picked without replacement from {q: 3, l: 2, a: 5, c: 3, b: 5}? 1/2448 Four letters picked without replacement from ypsoydos. Give prob of sequence sdyy. 1/420 What is prob of sequence nn when two letters picked without replacement from nnattntnatat? 1/11 What is prob of sequence sft when three letters picked without replacement from {f: 1, i: 1, c: 5, s: 1, t: 1}? 1/504 What is prob of sequence xl when two letters picked without replacement from zxzllzzlxlll? 1/11 Three letters picked without replacement from wwbq. What is prob of sequence qwb? 1/12 What is prob of sequence ror when three letters picked without replacement from hououhxrxhooourr? 1/112 What is prob of sequence sm when two letters picked without replacement from usmstumapsammuu? 2/35 What is prob of sequence hvd when three letters picked without replacement from {x: 4, y: 7, d: 1, h: 4, v: 2}? 1/612 Calculate prob of sequence ujjq when four letters picked without replacement from {q: 1, j: 7, a: 1, u: 8}. 1/170 What is prob of sequence dekd when four letters picked without replacement from {e: 9, k: 8, d: 2, n: 1}? 2/1615 What is prob of sequence osd when three letters picked without replacement from dodcccccscsdsc? 3/728 Two letters picked without replacement from {m: 1, q: 2}. Give prob of sequence qq. 1/3 What is prob of sequence eke when three letters picked without replacement from {k: 3, x: 2, e: 4, i: 9}? 1/136 Three letters picked without replacement from mfum. Give prob of sequence umm. 1/12 Three letters picked without replacement from {m: 4, u: 2, j: 4}. Give prob of sequence mjj. 1/15 Two letters picked without replacement from gmmmhmahbb. Give prob of sequence mm. 2/15 What is prob of sequence bbo when three letters picked without replacement from aobooboodb? 1/24 Calculate prob of sequence oqto when four letters picked without replacement from ttoqtoqtot. 1/84 Two letters picked without replacement from {b: 1, e: 2, z: 2}. What is prob of sequence zb? 1/10 Four letters picked without replacement from {f: 1, y: 1, k: 1, q: 2, a: 1, g: 1}. What is prob of sequence gayf? 1/840 Two letters picked without replacement from jrhhlmm. What is prob of sequence lr? 1/42 Calculate prob of sequence bup when three letters picked without replacement from {c: 1, u: 5, q: 1, b: 2, p: 1}. 1/72 Calculate prob of sequence aa when two letters picked without replacement from {a: 15, d: 4}. 35/57 Four letters picked without replacement from {u: 3, a: 2, g: 4, n: 1, c: 1, k: 1}. What is prob of sequence unag? 1/495 What is prob of sequence ggg when three letters picked without replacement from {x: 2, g: 3, b: 6, i: 1, k: 2}? 1/364 Three letters picked without replacement from tnonnnntnnlnnnln. Give prob of sequence nno. 11/336 Calculate prob of sequence vxx when three letters picked without replacement from sxvvsssvxvlvssxvxxs. 20/969 Two letters picked without replacement from emeeeeem. What is prob of sequence em? 3/14 What is prob of sequence ee when two letters picked without replacement from {e: 2, j: 1, g: 2, m: 2, a: 1, r: 1}? 1/36 Calculate prob of sequence fffq when four letters picked without replacement from {q: 9, f: 9}. 21/340 What is prob of sequence nln when three letters picked without replacement from {l: 3, n: 8}? 28/165 Three letters picked without replacement from ncnnxxxgnn. What is prob of sequence cnn? 1/36 Calculate prob of sequence bba when three letters picked without replacement from {b: 2, a: 1, n: 2}. 1/30 Calculate prob of sequence tarr when four letters picked without replacement from aannrrnrarnntnrn. 1/728 Calculate prob of sequence xq when two letters picked without replacement from {f: 3, c: 8, x: 3, q: 2}. 1/40 Three letters picked without replacement from {o: 7, z: 1, k: 3, q: 5, h: 2}. Give prob of sequence qqh. 5/612 What is prob of sequence sjjd when four letters picked without replacement from {e: 5, j: 4, s: 1, d: 3}? 3/1430 Four letters picked without replacement from ozzsyfosfzoeseof. What is prob of sequence fsoe? 3/1820 What is prob of sequence al when two letters picked without replacement from {a: 5, l: 8}? 10/39 Three letters picked without replacement from dhdkodouho. What is prob of
{ "pile_set_name": "DM Mathematics" }
5*l. Solve 3*x = -4*v - 2*x - h, -5*v - t = -2*x for v. -5 Suppose 5*d = -a + 45, 3*d - 4 - 8 = 0. Suppose a = -7*r + 60. Solve -3*z + 10 + r = 0, -2*z = 2*j - 8 for j. -1 Let r(v) = 6*v**2 - 2*v - 12 + 32 + v**3 - 3*v**2 - 22. Let f be -1*2*3/2. Let o be r(f). Solve -o*w + u + 13 = 0, 5*u + 2 = -4*w + 3*w for w. 3 Suppose -2*l + 3*j + 116 = 2*l, -86 = -3*l + 2*j. Suppose 0*i = 2*i - l. Suppose -5*p = -22 - i. Solve p*o - 2*a + 26 = 3*o, -a + 28 = -5*o for o. -5 Let d(r) = -r**3 - 3*r**2 + 8*r + 19. Let b be d(-4). Let u be 1 - 0 - (0 + (-12)/b). Solve 2*m - 2*j + 2 = u*m, -14 = -5*m + 2*j for m. 2 Suppose -2*l + 16 = 5*c, 9*c - 10*c + 2 = 0. Solve -2*y = -2, 4*t - l*y - 1 = -0 for t. 1 Let a(z) = z**3 - 6*z**2 + 5*z - 4. Let y be a(4). Let g be 204/10 + y/40. Solve h = -5*w + 3*w, 2*w - g = 4*h for h. -4 Let f(l) = -l**2 - 2*l + 5. Let k be f(-3). Suppose -v + k = 5, 48 = 3*b - 5*v. Solve 0 = -j + 2*d - 12, 16 = -j + 5*d - b for j. -2 Suppose -41*h = -35*h - 36. Suppose -h*b + 7*b - 9 = 0. Solve -4*u - b = 5*l, -u + 3*u + 3 = -l for u. -1 Suppose 3*m - 137 = -125. Solve -m*k = -4*r, 4 = k - 1 for r. 5 Suppose 0 = -3136*u + 3144*u. Solve n + 11*d - 2 = 12*d, u = -2*d for n. 2 Let a = 14 + -9. Let h = 7 - a. Suppose 4*i - 2*w = 3*w + 31, -3*w = h*i + 1. Solve 0 = -0*q - 5*q - i*j - 4, -3 = 3*j for q. 0 Suppose 18 = -12*o + 11*o. Let n be (-40)/(-18) + -2 + (-140)/o. Solve 2*w + n = 0, -4 + 3 = z - w for z. -5 Suppose -4*x + 5*h = -32 - 68, -3*x + 5*h + 70 = 0. Let a be 4 + (-1)/((-2)/x). Solve -3*t + 0*t = j - 15, t + 5*j = a for t. 4 Let b = -11 + 39. Suppose p + 12 = -4*t, t - b = -5*p + 3*t. Solve -4*n + 4 = -o + 2*o, -5 = p*o - 5*n for o. 0 Let j = -25 + 29. Let w = 0 + j. Solve 5 = -w*o - m, 0 = -2*o - 2*m - m - 5 for o. -1 Suppose 0 = -d - 3*d - 3*l + 107, 0 = d - 5*l - 44. Let a = -24 + d. Solve 3*p + 4 = 5*x, a*p + 7*x - 2*x + 20 = 0 for p. -3 Let w = 5 + -2. Let y(s) = w*s - 12 - 4*s - s. Let n be y(-9). Solve -3*j + 4 = -j + 2*t, 3*j + 2*t - n = 0 for j. 2 Let y = 771 - 771. Solve 4*s + 3*r = -y*r - 4, 0 = -2*r for s. -1 Suppose 4*d = 2*y + 8, -2*y - 2 + 0 = -d. Suppose 3*g - 6 = -a - 4, -d*g - 17 = -3*a. Solve 3*i + 2*l + 2 = 3, i + 2*l = -a for i. 3 Let a(l) = -l**3 + 10*l**2 - 16*l + 4. Let y be a(8). Suppose -44 = -2*g - 2*x + 4*x, 2*g - 52 = y*x. Solve 2 = 5*m - 2*u, -2*u - 3*u + g = -m for m. 2 Let o(w) = -3*w**2 - 44*w + 18. Let j be o(-15). Solve 4*b - 32 = 4*r, j*r - 11 + 0 = -4*b for r. -3 Let q = 7 + 12. Let o = 22 + -32. Let z = q + o. Solve -2*j + 3*v = -z, v + 3 = -4*j - 0*v for j. 0 Suppose 4*c + 3*c - 196 = 0. Suppose 5*q - 15 = 0, c = 3*p - 2*q + 10. Solve 3*i - z = p, -4*z + z = 15 for i. 1 Suppose -2*h - 10 = -5*q, 2*q - 4*h = 7*q + 20. Suppose -d = -q*d. Solve d = 3*n, 0*n = 5*j - n - 15 for j. 3 Let a = -36 - -57. Let i be (2 - (-120)/a)*(-42)/(-9). Solve -5*k - i = 4*r, r - 7 + 23 = -3*k for k. -4 Suppose 9 = -5*c - 1, 3*m - 5*c + 104 = 0. Let l = m + 38. Solve -4*k - 5*f - 29 = l, 2*k + 9 = -4*f - 13 for k. -1 Let s(j) = -2*j**2 - 36*j + 133. Let n be s(-21). Let m = 16 + -11. Let a = -3 + m. Solve 0 = -2*k + 4*i - 14, 2*k = n*k + i + a for k. -1 Suppose -4*u + 1 = -19. Suppose 5*k + 7 = 4*w - 0*w, 25 = 5*k. Suppose 4*g + 0 = 76. Solve -4*o + g = -5*n, u*n + 3 = -4*o - w for n. -3 Suppose 2*c + 4*h + 134 = 0, -7 - 127 = 2*c - 5*h. Let r = 102 + c. Let i = r + -34. Solve -2*l - g = 11, 3*g - 2 - i = 3*l for l. -4 Let n = -5 + 11. Let t be n/27 - (-438)/(-27). Let q = -14 - t. Solve 3*s + q + 4 = -3*f, 3*s = -3 for f. -1 Suppose 0 = 4*q + 2*u - 18, -13*u = 4*q - 8*u - 33. Solve f = -2*d + 2*f - 6, -5*d + q*f - 17 = 0 for d. -5 Suppose -12*w + 13*w - 2 = 0. Solve 4*s + w*a = 0, -2*a + 4 = -2*s - 2 for s. -1 Let t = -556 - -556. Solve -4*u + 4*i - 5*i = -21, t = -u + 4*i - 16 for u. 4 Suppose -85*w + 97*w = 0. Solve -2*h + 2*y + 16 = w, -5*y - 28 = -0*h - 2*h for h. 4 Suppose 7*l + 216 = 13*l. Solve -5*u = -4*k - 17, -4*k = 5*u - l + 3 for u. 5 Let l be (-5 + 1 - -12)*1/2. Solve l*g - 20 = 0, 6*g - g = -2*k + 19 for k. -3 Suppose -2*f = -5*a + 16, 0*a - 14 = -3*a - f. Solve a = 4*u, -2*w + 2*u = -0*u + 8 for w. -3 Suppose 0 = -4*w + 15 + 1. Let u(m) = 3*m. Let x be u(6). Solve 2 = 4*z + 2*t, -4*z + x = w*t + 6 for z. -2 Let i be (-130)/13*(-2)/5. Solve -10 = 5*w, 5*p - w + i*w + 11 = 0 for p. -1 Suppose 0 = -2*v - 3*v + 20. Suppose 8 = -v*p - 20. Let b = p - -12. Solve 5*i - 5 = -b*k, -5*i + 31 = -4*k + 8 for k. -2 Let g(z) = -z**3 - 4*z**2 + 1. Let w be g(-4). Solve w = -4*l + c - 7, 0 = 2*l + 5*c + 4 for l. -2 Let o = 61 + -49. Suppose 5*z - o = 23. Solve t + 2*r = 4*r - z, 4*r = -5*t + 7 for t. -1 Suppose 0 = -195*d + 207*d - 72. Solve 4*p + 0 = o + d, -3*o = p - 8 for p. 2 Let q be (-88)/11*7/(-28). Solve -q*p - 3*p + 36 = 4*t, -4*t + p + 12 = 0 for t. 4 Let h be -4 - (-8 + 4 + -12). Suppose 4*d = -5*q + 49 + 23, -q - 2*d = -12. Solve -2*g = -2*u + 2*g + q, -u - h = 3*g for u. 0 Suppose -6 = 3*w - 5*w. Suppose -w*t - 23 = -4*x, -2*t + 1 = 4*x + 3. Let c = 5 + t. Solve c = 4*m + 5*u - 17 - 11, -2*m - 3*u + 16 = 0 for m. 2 Suppose 0 = -96*l + 89*l. Solve 5*x - 3*a - 11 = l, -10 = 2*x - 4*x + 4*a for x. 1 Let l = 461 - 449. Solve -o + 14 = -3*i, -o + 9*i - 16 = l*i for o. -1 Suppose -683 = -5*x - 2*s - 547, -3*x + 94 = -5*s. Solve -2*a = 5*b + 31, -a = b + 4*b + x for b. -5 Let o(b) = -b**3 - 8*b**2 - 3*b - 20. Let s be o(-8). Suppose 5*g + 2*m = g + 116, -104 = -s*g + m. Solve -5 = q, 4*t + 0*q + 3*q + g = 0 for t. -3 Let a = -206 + 206. Solve a = 3*p + 6, 2*p = -4*i - 3 - 9 for i. -2 Let s(u) = -2*u - 8. Let y be s(8). Let j = y + 29. Solve -z - 4*f - 20 = 0, -j + 0 = 3*z + f for z. 0 Suppose 0 = 3*y - 35*y + 96. Solve 0 = 3*a + a + 2*r + 18, 11 = -y*a + r for a. -4 Let c = -543 + 546. Solve c*g = -4*w + w + 21, g - 4*w = -13 for g. 3 Let q = -661 + 667. Solve 4*s + 5*v = -41, 32 = -3*s + 2*v - q*v for s. -4 Suppose 0 = 3*j - 4*a + 10, -18 = -5*j - 8*a + 6*a. Solve -2*w + j*d - 10 = -d, d = 0 for w. -5 Suppose z - 29 = -17. Suppose 4*j + 4*n - 4 = n, -2*n + z = 5*j. Solve l = -k + 6, j*l - 5*k = -0*l - 12 for l. 2 Suppose 8*u = 16*u - 24. Solve 4*b = 2*r - 20, u*b = -4*r + 3 - 18 for r. 0 Let u(d) = d**2 + 2*d + 8. Let r(x) = -x**2 - 1. Let m(k) = -6*r(k) - u(k). Let g be m(-2). Solve -2*y - g = p - 7*y, 12 = -2*p + 2*y for p. -2 Let u(r) = -r**3 - 9*r**2 - 10*r + 10. Let a be u(-8). Let s = -48 + 48. Let y(x) = 3*x. Let t be y(s). Solve 5*j - a = 3*c - t*c, -3*c = -3*j + 18 for c. -2 Let r be (-2 + (-2 - -91))*(3 + -2). Let q = -66 + r. Solve -4*v + q = 5*g, 4*g - 3*v - v = -12 for g. 1 Let l(n) = -20*n**3 + n**2 + 2*n + 1. Let p be l(-1). Let h = -343 - -346. Solve 4*y + h*j = -2*j + 24, 0 = 5*j - p for y. 1 Suppose 2*s = -48 + 174. Let a = s - 60. Solve -a*j + 2*i = 3*i + 7, 4*i + 12 = 4*j for j. -1 Suppose 2*h + 2*w + 0 = -4, -15 = 3*w. Suppose -4*p - 2 = -2*p, 4*p - 2 = -h*u. Solve 0 = -u*l + 2*i + 3*i - 10, 2*i = 0 for l. -5 Let n(f) = 2*f**2 - 3*f - 3. Let t be n(-3). Let d = -102 + 105. Solve -5*l - 5 = -8*i + 3*i, 0 = 4*i + d*l + t for i. -3 Let y(u) = u**2 - 4. Let w be y(-6). Let f = w - 27. Suppose -f*m + 50 = -0*m. Solve 4*l - c - c - m = 0, c = -5*l + 2 for l. 1 Let k be 5246/(-6) - 1/(-3). Let a = 489 + k. Let b be ((-8)/10)/(22/a). Solve 0 = -5*x - 2*n + b, 0*x - 5*n + 5 = 5*x for x. 4 Let c be (-2)/6*(-660)/44. Solve c*h = -4*x + 21, 0 = 25*h - 23*h - 10 for x. -1 Let t be (-3 - -1)/(3/(-6)). Suppose 0*h + 5*l - 50 = -5*h, -5*l = -t*h + 67. Let u = h - 11. Solve 3*w + n = -u*w - 23, 4*w + 25 = -3*n for w. -4 Let v = 144 + -129. Let y = 18 - v. Solve y*j - 2 = 4*n - 5, 2*n - 9 = -j for j. 3 Let k be 27 - ((-24)/84 + 6/21). Solve 3*f + 25 = -4*z, -8*f - 3*z = -3*f + k for f. -3 Suppose -l - 2*a + 53 = 0, 2*a = 2*l - 51 - 55. Let s = l - 42. Solve -z - 3*o + 6 = 2*z, 0 = 5*z + 4*o - s for z. 3 Let q(j) = -j**3 + 13*j**2 - 33*j - 9. Let c be q(4). Solve 2*v - 5*m = 19, -v + 4*m = c*m - 5 for v. 2 Let b(p) = p**3 + 6*p**2 + 8*p + 3. Suppose -5*h = -4*a + a - 37, 0 = -2*h + 10. Let k be b(a). Solve c - 5*c = w + 8, -w - k = -c for c. -1 Suppose 4*a = p - 5, 5*a - 25 = -0*p - 5*p. Suppose -20*c + 22*c - 6 = a. Solve -d - 10 = c*u + 3*d, -d = 5*u + 11 for u. -2 Suppose -5*q = -q + u - 69, -5*u - 15
{ "pile_set_name": "DM Mathematics" }
- 5 + 8 + 67*l in the form t + h*l and give t. 2 Express 2 - 8 - b - 3 as w*b + n and give n. -9 Express (2*p - 7*p - 4*p)*(1 + 2 + 0) as f + g*p and give g. -27 Express 2 + 5 + 4*p - 1 in the form o*p + x and give x. 6 Express 2*p**2 + 5*p - 12*p**3 + 21*p**3 - 15*p**3 as o + r*p**3 + g*p**2 + j*p and give r. -6 Express (4 - 3 - 2 + (-1 + 3 - 3)*(6 - 1 + 0))*(-2*y + 0*y + 0*y) in the form r + g*y and give g. 12 Rearrange (2 + 3*j - 2)*(1 - 2*j - 1) + 2*j**2 - 2 + 2 - 3*j**2 + 4*j**2 + 4*j**2 to r*j**2 + q*j + a and give r. 1 Express -17*b - 16*b - 23*b - 18*b in the form k + f*b and give f. -74 Express 3*y + 1 - 1 + 1 + (2*y + 4 - 4)*(-1 - 3 + 1) + (4*y - 4*y + 2*y)*(0 + 1 + 1) + 2 - 2 - y + 5*y + 0*y - 4*y - y + 0*y - y as u + c*y and give u. 1 Rearrange 3*t**2 - 2*t**2 - 3*t**2 - t**2 to the form o + r*t**2 + l*t and give r. -3 Express 2*w - 17*w + 0*w**2 + w**2 as s + y*w**2 + i*w and give y. 1 Rearrange -5*r**3 + 0 + 2*r**3 - 1 + r**3 to the form s*r**2 + y*r**3 + h + n*r and give y. -2 Rearrange -5*b + 3*b**2 + 4*b + b - 1 to y + c*b + m*b**2 and give y. -1 Rearrange (24*s**2 + 248 - 248)*(0*s**2 + 2*s**2 + 0*s**2) to the form x*s**4 + p*s**2 + n + g*s**3 + q*s and give x. 48 Express 11*i - 12*i + 3*i**3 + i**2 + 4*i + i**2 as g*i**2 + t*i + n*i**3 + f and give t. 3 Rearrange (2*t - t + 0*t)*(2 - 3 + 0) + (-1 - 1 - 6)*(-8*t + 2*t + 5*t) to the form v*t + m and give m. 0 Express -6*v**4 + v**3 + 4*v**2 - 4*v**2 - 2*v + v**3 in the form a*v**3 + y*v + c*v**4 + p + f*v**2 and give a. 2 Rearrange -5 - 16*h**2 + 5 + 0 to q*h + s*h**2 + v and give s. -16 Express (12*y + 58*y - 19*y)*(2 - 6 + 3)*(1 + 1 - 1) as n + r*y and give r. -51 Express 33*j + 12*j + 2*j in the form n + w*j and give w. 47 Rearrange (4*w**3 - w**3 - 5*w**3)*(-4 + 10 + 4) to the form z*w**3 + n*w**2 + g + u*w and give z. -20 Express 63*u**3 - 2 - 31*u**3 - 5*u - 31*u**3 as c*u**2 + d*u**3 + q + p*u and give d. 1 Rearrange (1 - 2 + 2)*(-4*y + 4*y + 2*y**2)*(4 + 0 - 1) to m*y**2 + j*y + n and give m. 6 Express -18*o + 2*o**2 + 8*o - 19*o - 12*o in the form x*o**2 + i + r*o and give x. 2 Rearrange -7 - 3*w**3 - 11*w**4 + 10*w**4 + 2*w + 3*w**3 to the form q*w + x + s*w**2 + l*w**4 + h*w**3 and give x. -7 Rearrange 44*b - 16*b - 25*b to the form j*b + g and give j. 3 Express ((-3 - 2 + 7)*(-q - q + 0*q) - 14*q + q + 5*q - q + 4*q - q)*(-2 + 2 - 2*q**2) as n*q**2 + p*q**3 + l*q + s and give p. 20 Express 0*c**3 + c**2 - 3 + 5*c**3 - 3*c**3 + 0*c**3 as x*c**2 + f*c + l + a*c**3 and give a. 2 Rearrange -u**3 + 0*u**3 + 3*u**3 + (5*u - 5*u - u**2)*(5*u - 2*u - 4*u) + 0*u**3 - 2*u**3 + 3*u**3 to the form p*u**3 + c + q*u + k*u**2 and give p. 4 Rearrange (4*z + 4 - 4 + (3 - 5 + 3)*(0*z - 4*z + 5*z))*(2*z - 5 + 8 - 4*z) to t*z + r*z**2 + b and give t. 15 Express (4*t - 4*t + 2*t**2)*(-3 - 13*t + 6*t + 1) as z*t**2 + o*t + v*t**3 + y and give z. -4 Express -2*l**2 - 5*l**2 + 8*l**2 + 2*l + l**4 as b + y*l**2 + s*l**3 + v*l**4 + t*l and give t. 2 Express 0*o - 6*o**3 + 4*o**3 + o + o**2 - 4*o as h*o**3 + d*o**2 + f + r*o and give r. -3 Express (2 + 0 - 1)*(10*l - 19*l + 92*l) in the form o*l + u and give o. 83 Express (v**3 + 3 - 3)*(6 - 3 - 1)*(-v + 2*v - 2*v) - 5*v**4 + 8*v**4 + 6*v**4 in the form z*v + n*v**2 + x + p*v**4 + d*v**3 and give p. 7 Rearrange (-25 - 49 + 26)*(3*k - 3*k + k) to the form g + a*k and give a. -48 Rearrange u + 15 - 4 - 28 to the form h + v*u and give v. 1 Rearrange (-4 + 4 - 2*n**2)*(-n**2 + n - n) + (-5*n**2 + 8*n**2 + 0*n**2)*(2 + n - 2)*(n + n - 4*n) to s*n + c*n**2 + i + g*n**3 + w*n**4 and give w. -4 Express -27*z**3 - 6*z**4 + 28*z**3 - 30*z**4 + 2*z + 2 in the form k*z**3 + p*z**4 + u*z**2 + n*z + h and give p. -36 Express l**2 - 4*l**2 - 3*l**2 in the form n + v*l + h*l**2 and give h. -6 Rearrange (-46*n - 9*n**3 + 46*n)*(1 + 0 - 3)*(-2 + 4 + 0) to the form q*n**3 + t*n + z*n**2 + k and give q. 36 Express (-4 + 2 + 3)*(177 - 177 - 14*v**2) in the form p*v + d*v**2 + g and give g. 0 Rearrange 2*k**3 + 50*k - k**3 - 31*k to the form t*k + a + n*k**2 + g*k**3 and give g. 1 Rearrange 47*z - 22*z + 119 + 43*z - 118 to the form i*z + j and give i. 68 Express 3*f**2 - f**2 - f**2 + 2 + (0*f + 3*f - 5*f)*(-3*f + 3*f - f) + 11 - 5*f**2 - 11 + 0*f**2 - 4*f**2 + 5*f**2 in the form i*f + c*f**2 + b and give b. 2 Express 3*o - 6*o + 3*o - 32*o**2 in the form u + s*o**2 + l*o and give u. 0 Rearrange ((2*c + 2*c - 3*c)*(-1 + 4 - 1) + 3*c - 5*c + 4*c + 4*c + 1 - 1)*(-2 - 2 + 1 + (-2 + 5 - 1)*(-2 + 2 + 2)) to the form a*c + j and give a. 8 Express (-2*l**2 - 2*l**2 + 3*l**2)*(1 - 1 - 2*l) + 3*l**3 + l**3 - 5*l**3 - 3 + 3 + 3*l**3 in the form x + p*l + o*l**3 + k*l**2 and give o. 4 Rearrange -17*d**3 + 24*d**3 - 11*d**3 + 5*d**4 - 2*d + 4*d - 2*d**2 to r*d + n*d**3 + m + q*d**2 + g*d**4 and give g. 5 Rearrange -2460*c**3 - 2*c**4 + 2460*c**3 - 2*c**2 + 11 to p + t*c + u*c**2 + q*c**3 + g*c**4 and give g. -2 Express (2*j - 6*j + 3*j)*((j - 2*j + 18*j)*(-3 + 3*j**2 + 1 - 2*j**2) - 3*j**3 - j**3 + j**3) as u*j + y*j**4 + r*j**3 + k*j**2 + p and give y. -14 Rearrange (j**2 + 3*j - 4*j + 2*j)*(3*j - 14*j - 2*j)*(0 - 2 + 0) to h + r*j + c*j**3 + w*j**2 and give c. 26 Rearrange -2*y**3 + 5*y - 7*y**4 - 11*y**2 + 11*y**2 to l*y**2 + q*y**3 + w*y + t*y**4 + c and give t. -7 Express -j**2 + 0 + 0 - 2 + 8*j**3 in the form z*j + o*j**3 + n + i*j**2 and give z. 0 Express 256 + 2*k + 3*k**4 - k**4 - 253 + 2*k**3 + k**2 in the form t*k**3 + j*k + r*k**2 + z + y*k**4 and give r. 1 Express -2*s**4 + 0*s**4 + s - 4*s**3 + 2*s**3 + 0*s in the form y*s**4 + d*s + o*s**3 + j*s**2 + p and give o. -2 Express (180 - 97 - 119)*(-3*f + 5*f + 0*f) as y + n*f and give n. -72 Express (-2 + 3 - 2)*(2 - 2 - 2*n**3) + (n**2 - 4*n**2 + n**2)*(9*n - 25*n - 20*n) as w*n + l + a*n**3 + m*n**2 and give a. 74 Rearrange -2*r**2 - 3*r**3 + 3*r + 0*r + 0*r**3 + r**4 - 4*r to the form n*r**3 + t + u*r + c*r**4 + w*r**2 and give c. 1 Express 90*s + 47*s - 105*s in the form p*s + z and give p. 32 Express -2*j + 2*j - 32 + 2*j as q*j + p and give q. 2 Rearrange 8 + 0*n**4 + 10*n**4 - 3*n**3 - n - 10 + 2*n**3 to j*n**4 + b*n**2 + s + c*n + q*n**3 and give c. -1 Rearrange d**3 - 94*d**4 + 93*d**4 - 4*d**3 + d to s*d**2 + i + p*d**4 + g*d**3 + z*d and give p. -1 Express (-16*q**3 + 22*q**3 - 5*q**3)*(-3*q - q + 2*q) + 0*q**4 - 4*q**4 + 2*q**4 in the form u + b*q**2 + n*q + c*q**3 + z*q**4 and give z. -4 Rearrange -12*w - 5*w + 19*w + 4*w**2 to s + y*w**2 + g*w and give g. 2 Express -1 - 26*f + 1 in the form h*f + u and give h. -26 Rearrange (4*c + 0*c - 7*c)*(3 + 0 - 5)*(-4 + 3*c**3 + 4) to the form x*c**2 + u*c + b + j*c**4 + i*c**3 and give j. 18 Express -1 + c**2 - c**2 - 34 + c**2 in the form j + k*c**2 + n*c and give k. 1 Rearrange -3*t**3 - t**4 + 5*t**3 - t**4 + 5 - 3*t**3 to the form o*t + l*t**2 + f*t**3 + b*t**4 + c and give f. -1 Rearrange -3 + 5*p - 1 - 4*p + 5*p**3 + 2*p**2 - 6*p**3 to c*p**3 + i*p**2 + b*p + n and give c. -1 Express -v + 14*v**3 - 19*v**3 + 11*v**3 - 2*v**2 - 3 + 4*v**2 in the form d + q*v**2 + t*v + g*v**3 and give t. -1 Rearrange -2*t - 2*t - 3*t**4 + 0*t**4 + 36*t**3 - 35*t**3 to the form b*t**3 + u*t**4 + x*t + l + q*t**2 and give u. -3 Rearrange -t**2 + 406 + 2*t - 3*t**3 + 4*t**3 + t**3 - 404 to q*t + p*t**3 + s*t**2 + m and give q. 2 Rearrange (1 + i - 5 - 2)*(i + 0*i + 0*i) to k*i**2 + o + h*i and give k. 1 Express ((2 - 2 + 2)*(-2 + 1 + 2) + 4 - 2 + 0)*(o + 2 - 2)*(-3 - 2 + 8) in the form z + u*o and give u. 12 Rearrange 2 - 5*o**4 + 9*o**4 + o - o**2 + 5*o**3 - 3*o**4 to c*o**2 + q*o**4 + d*o**3 + m*o + a and give c. -1 Rearrange -12*m + 7*m - 17*m**2 + 5*m to c*m**2 + y + w*m and give c. -17 Rearrange (5*j + 0*j + 4 - 3*j)*((-3 - 2 + 7)*(-11*j - 15 + 15) - 3*j + 1 - 1) to the form r*j + s*j**2 + f and give r. -100 Express -3*x**2 + x**3 - 6*x + 6*x + (4*x + 3*x - 4*x)*(-4*x**2 - x**2 + 2*x**2) - 2*x**3 - 6*x + 6*x in the form q*x + p + y*x**3 + n*x**2 and give n. -3 Express -7*u - u**4 + 17*u**2 + 4*u**2 + 0*u**4 - 17*u**2 as y*u**3 + n*u**2 + b*u + k + f*u**4 and give f. -1 Rearrange (0 - 3 + 4 + (2 - 3 - 2)*(-4 - 3 + 6))*(2*k - k**2 - 2*k)*(0*k + 4*k - 2*k) to the form x*k + r*k**3 + i*k**2 + u and give u. 0 Express 4*c**3 + 0*c**3 + 14 - 3*c**3 + 4 as f + j*c + v*c**
{ "pile_set_name": "DM Mathematics" }
-4/5 (c) -4 (d) -2/23 b Which is the biggest value? (a) 0.1 (b) -0.7 (c) -0.3 (d) 0 a What is the fourth smallest value in -0.2, -2/5, 0.2, -1, -3? -0.2 Which is the smallest value? (a) 0.91 (b) -0.2 (c) 0 b Which is the fifth biggest value? (a) -2 (b) -3/11 (c) -0.3 (d) 2 (e) 3 a Which is the third biggest value? (a) -0.9 (b) 0.4 (c) -5/7 a What is the second smallest value in -5, 1, 0.5, 1/5? 1/5 What is the fourth smallest value in -0.3, 0.213, 5/4, 0.4? 5/4 Which is the fourth smallest value? (a) -1 (b) 0.02 (c) -0.1 (d) 0 b What is the second smallest value in 1, -24, 4, -0.9? -0.9 What is the smallest value in 0.5, 6, -1/7, 1/5? -1/7 What is the fourth biggest value in -0.3, 2, -2/3, -90? -90 Which is the smallest value? (a) -1/3 (b) 16 (c) -2 (d) 0 c Which is the second smallest value? (a) -1 (b) -2/5 (c) 0.2 (d) -0.5 d Which is the biggest value? (a) -2 (b) -2/3 (c) 2694 c Which is the biggest value? (a) 4 (b) -2/3 (c) -31 a What is the second smallest value in -0.3, 8/3, 4? 8/3 Which is the third smallest value? (a) -4 (b) -0.2 (c) -5 (d) 0.1 (e) -2.9 e Which is the second biggest value? (a) -2/59 (b) -4 (c) 1 a Which is the second smallest value? (a) -3/2 (b) 1.4 (c) -0.1 (d) 0.3 c Which is the smallest value? (a) -1/4 (b) -2/9 (c) 6 (d) 21 a Which is the third smallest value? (a) 1/6 (b) 1 (c) 7.9 (d) 0.037 (e) -1 a What is the second biggest value in 173/6, 0.4, 1/4, -1? 0.4 What is the fourth biggest value in -1, 34, 0, -0.5? -1 What is the third biggest value in -1, 3.2, 0? -1 What is the smallest value in 0.2, 74, -2? -2 Which is the fourth smallest value? (a) -0.1 (b) 5 (c) 4 (d) -5 b Which is the second biggest value? (a) 10 (b) 3/4 (c) -3/8 (d) 0.05 b What is the fourth biggest value in 0.1, 0.007, 0.4, -2/17? -2/17 What is the biggest value in -1, 0.4, -2/9? 0.4 Which is the smallest value? (a) 0 (b) -0.2 (c) 30 (d) 1/2 b What is the third smallest value in -0.4, 0.2, -1/200, -2/3? -1/200 Which is the smallest value? (a) 5 (b) -0.516 (c) -1/4 b What is the biggest value in 0.05, 4/9, 2/5, 4/7? 4/7 Which is the third biggest value? (a) 2 (b) -2/7 (c) 1/3 (d) -0.07 (e) -0.5 d What is the smallest value in -0.9, -2/7, 4, -1/8? -0.9 What is the biggest value in -1.4, -3, 58? 58 Which is the smallest value? (a) -4 (b) 0.4 (c) 0.08 a What is the second biggest value in -444, -2, -0.2? -2 Which is the third smallest value? (a) 0.5 (b) 3 (c) -6 b What is the second smallest value in -1, -3, 69? -1 Which is the third smallest value? (a) -0.2 (b) -2 (c) -1/28 (d) -0.05 d Which is the third smallest value? (a) 2 (b) -3 (c) 0.1 (d) 0 c What is the smallest value in 1, -2/7, 0.14, 0.9, -4? -4 Which is the fourth biggest value? (a) -1 (b) 0.4 (c) -2/17 (d) 4 (e) 2.9 c Which is the second smallest value? (a) -1 (b) 0 (c) 28 b Which is the fourth biggest value? (a) -14 (b) 3 (c) -1/2 (d) 0.5 (e) 6 c What is the second biggest value in -10/3, 0.3, 76? 0.3 What is the fourth biggest value in 8, 1/9, -6, 4? -6 What is the biggest value in -1.97, -20, 2/5? 2/5 Which is the smallest value? (a) -2/3 (b) 7.12 (c) 2/11 a Which is the second biggest value? (a) 3 (b) -5/3 (c) 125 a What is the fourth smallest value in 0.12, -3, 0.19, 0.08, 0.2? 0.19 What is the biggest value in 2, 4, -243? 4 Which is the second biggest value? (a) -7/33 (b) 0.4 (c) -1 a What is the smallest value in -19/4, -4, -11? -11 What is the fourth biggest value in 0.03, 3, 29/3, 0.1, 4? 0.1 What is the fifth smallest value in 0.3, 4, 1/3, 1/10, -5? 4 What is the fourth smallest value in 2/15, -11/2, 2, -4? 2 Which is the third smallest value? (a) 0.4 (b) -61/6 (c) -4 a What is the second smallest value in -191, -13, -0.4? -13 Which is the second biggest value? (a) -5 (b) -0.3 (c) 1.78 (d) -1 (e) -2 b Which is the second smallest value? (a) -339 (b) -1/3 (c) 0 (d) 0.1 b What is the fourth biggest value in 18, 0.13, -0.04, -2? -2 What is the fourth biggest value in -0.4, 12, -2, 126? -2 Which is the second smallest value? (a) 3 (b) -1/4 (c) 0.01 (d) -3 b What is the second smallest value in -5, 0.4, -1, 2/15, -4862? -5 What is the third smallest value in -2/11, 1/2, -120? 1/2 What is the third biggest value in 0, -2/3, -43? -43 Which is the smallest value? (a) -5 (b) -1/2 (c) 1 (d) 4 (e) -10/9 a Which is the second biggest value? (a) 3 (b) 0.4 (c) -53 (d) 0.3 b Which is the third smallest value? (a) 0 (b) -4 (c) -0.1 (d) -1/6 (e) -33 d What is the smallest value in -3/73, -0.1, 0.14? -0.1 What is the third biggest value in 5, 9/2, -2/15? -2/15 Which is the smallest value? (a) -0.1 (b) 0 (c) -1 (d) 1/22 c What is the second biggest value in 30, 3, -3? 3 What is the second smallest value in 1/5, -2/7, -3, -1? -1 Which is the second smallest value? (a) 0.2311 (b) -4 (c) -3 c Which is the second smallest value? (a) -4/17 (b) 3 (c) 0 (d) -2 a Which is the fourth biggest value? (a) -0.1 (b) 1.9 (c) 2/7 (d) 3 a Which is the third smallest value? (a) 10 (b) -15 (c) 1/7 a What is the fourth biggest value in -5, 1, 0.1, -0.4? -5 What is the second biggest value in -0.5, -4.3, -0.2? -0.5 Which is the fourth biggest value? (a) 0.3 (b) 0.071 (c) -2/9 (d) -2/3 d What is the second biggest value in -0.1, 13, -0.2? -0.1 Which is the biggest value? (a) 9 (b) -80/9 (c) 3 a What is the second smallest value in -8, -13/10, -3? -3 Which is the third smallest value? (a) -16 (b) -11 (c) -1/4 (d) 0 c What is the fourth smallest value in 0.5, 1/5, 3/2, -3? 3/2 Which is the second smallest value? (a) 2 (b) 0.06 (c) -0.3 b What is the third biggest value in -1, -0.05, -1/9, 3? -1/9 What is the second smallest value in 1/3, -8, 0.5, 1, -0.1? -0.1 What is the smallest value in 4/9, 3/7, 0, 1? 0 Which is the second smallest value? (a) -0.3 (b) -1 (c) -27 (d) 0.1 (e) 0.3 b What is the smallest value in -2, 0.5, -5/12, -1? -2 Which is the second biggest value? (a) 1/4 (b) 4 (c) -0.1 (d) -1 a What is the third smallest value in 597, -5, -1/2? 597 Which is the biggest value? (a) -0.2 (b) 2/7 (c) -1791 (d) 3 d What is the third smallest value in 1, 3, 0, -5/29? 1 What is the second biggest value in 1, 1/3, -0.23, -0.4? 1/3 Which is the fourth smallest value? (a) 0 (b) -1 (c) 4/3 (d) 12 d Which is the second smallest value? (a) 86 (b) 3/7 (c) 3/2 c Which is the second smallest value? (a) -1 (b) 3 (c) -0.4 (d) -22 a What is the second biggest value in 0.3, -1, 5? 0.3 Which is the second smallest value? (a) 72 (b) -3 (c) -65 b Which is the biggest value? (a) 0.5 (b) 40.38 (c) 3 b What is the third smallest value in -2, 1.2, 0? 1.2 What is the second smallest value in 5, -1/127, 1/4? 1/4 Which is the second biggest value? (a) -91 (b) 0.3 (c) 0.5 b What is the second smallest value in 1/8, 1.51, 1? 1 Which is the third biggest value? (a) 0 (b) 2 (c) -1/29 c Which is the fifth smallest value? (a) 18 (b) -2 (c) -0.1 (d) 2/25 (e) -1/5 a Which is the smallest value? (a) -2 (b) -4/5 (c) -13 c What is the third smallest value in 0.268, 0.2, -2? 0.268 Which is the third smallest value? (a) -5 (b) 2 (c) -4 (d) 2/1785 (e) -3/7 e Which is the fourth biggest value? (a) 2/13 (b) -10 (c) -0.3 (d) -0.1 b Which is the second biggest value? (a) 2 (b) 11899 (c) 2/23 (d) -2 a Which is the second biggest value? (a) 3 (b) 2.5 (c) -0.2 (d) -2/19 b What is the second biggest value in 2047, -3/2, -3/5? -3/5 Which is the second biggest value? (a) 2 (b) -6/167 (c) -2/3 b Which is the biggest value? (a) -0.1 (b) -2/3 (c) 4/9 c Which is the third biggest value? (a) -116 (b) 4 (c) -3 a Which is the fifth smallest value? (a) -1 (b) -2 (c) -0.07 (d) 0 (e) 31/2 e What is the smallest value in -3/8, -5, 41? -5 What is the biggest value in 1, -1/2, -1, -0.4, -5? 1 What is the second biggest value in 5, -32, 3? 3 What is the third biggest value in -10, 26, 5? -10 Which is the fourth smallest value? (a) -18 (b) -1 (c) -3 (d) 9 (e) -2 b What is the second biggest value in -1, 7, -3, 4? 4 What is the fifth smallest value in -0.05, -3/4, -1/4, -1, -0.3? -0.05 What is the fourth smallest value in 2, 0.
{ "pile_set_name": "DM Mathematics" }
63*i**2 - 66*i + 24 = 0. What is i? 1, 2, 4 Suppose -3*r**5 - 87*r**4 = 0. Calculate r. -29, 0 Find c, given that -c**5/11 + 13*c**4/11 - 43*c**3/11 + 19*c**2/11 + 4*c - 32/11 = 0. -1, 1, 4, 8 Suppose 5*a**3 - 1430*a**2 - 1445*a + 2870 = 0. Calculate a. -2, 1, 287 Determine t, given that 4*t**2/5 + 4376*t/5 - 876 = 0. -1095, 1 Solve -2*t**3/3 + 24*t**2 - 216*t = 0. 0, 18 Let 3*a**5 + 19*a**4 - 6*a**3 - 76*a**2 - 24*a = 0. Calculate a. -6, -2, -1/3, 0, 2 What is l in -2*l**2/7 - 348*l/7 - 15138/7 = 0? -87 Factor -x**4 + x**3 + 7*x**2 - 13*x + 6. -(x - 2)*(x - 1)**2*(x + 3) Find x, given that -2*x**5/11 + 14*x**3/11 + 4*x**2/11 - 24*x/11 - 16/11 = 0. -2, -1, 2 Find d, given that -3*d**5 + 276*d**4 + 573*d**3 - 834*d**2 - 1140*d + 1128 = 0. -2, 1, 94 Factor -51*b**3 - 771*b**2 - 90*b. -3*b*(b + 15)*(17*b + 2) Find j such that -2*j**5/5 + 12*j**4/5 - 14*j**3/5 - 12*j**2/5 + 16*j/5 = 0. -1, 0, 1, 2, 4 Find c, given that 130*c**4/3 + 24*c**3 + 8*c**2/3 = 0. -2/5, -2/13, 0 Find h, given that 2*h**2/5 - 42*h/5 = 0. 0, 21 What is b in 15*b**2/4 - 55*b + 35 = 0? 2/3, 14 Solve -q**4/2 + 7*q**3/2 - 15*q**2/2 + 13*q/2 - 2 = 0 for q. 1, 4 What is p in 4*p**4 + 48*p**3 - 12*p**2 - 152*p - 96 = 0? -12, -1, 2 Determine h, given that -h**5/2 + h**4/2 + 19*h**3/2 - 49*h**2/2 + 15*h = 0. -5, 0, 1, 2, 3 Factor -4*w**4 + 76*w**2 + 24*w - 288. -4*(w - 4)*(w - 2)*(w + 3)**2 Solve 4*s**4/9 + 10*s**3/9 - 10*s**2/9 - 10*s/9 + 2/3 = 0. -3, -1, 1/2, 1 Factor -2*i**2 + 130*i - 128. -2*(i - 64)*(i - 1) Factor -y**2 - 36*y - 224. -(y + 8)*(y + 28) Factor m**3 - 4*m. m*(m - 2)*(m + 2) Factor -g**3/5 - 14*g**2 + g/5 + 14. -(g - 1)*(g + 1)*(g + 70)/5 Find n such that 3*n**2/5 + 3144*n/5 + 823728/5 = 0. -524 Determine m, given that 72*m**5 - 860*m**4 + 22784*m**3/9 + 2656*m**2/9 - 1408*m/3 + 64 = 0. -1/2, 2/9, 6 Factor -2*q**2 + 20292*q - 51470658. -2*(q - 5073)**2 Factor 4*n**4 + 24*n**3 - 5180*n**2 + 10272*n - 5120. 4*(n - 32)*(n - 1)**2*(n + 40) Find y such that 32*y**4 + 2540*y**3 + 49588*y**2 - 32960*y - 19200 = 0. -40, -3/8, 1 Find f such that 20*f**5 + 176*f**4 + 544*f**3 + 664*f**2 + 204*f - 72 = 0. -3, -2, -1, 1/5 Factor 4*z**4 + 36*z**3 - 240*z**2 - 832*z + 3840. 4*(z - 4)**2*(z + 5)*(z + 12) Factor -i**2 + 60*i - 116. -(i - 58)*(i - 2) Solve 2*t**4/11 - 20*t**3/11 + 18*t**2/11 + 320*t/11 - 800/11 = 0 for t. -4, 4, 5 Suppose -2*r**2/13 + 12*r/13 - 16/13 = 0. Calculate r. 2, 4 Find l, given that -l**2/8 - 105*l/8 + 107/4 = 0. -107, 2 Solve -4*y**4/3 + 28*y**3/3 + 100*y**2/3 - 604*y/3 + 160 = 0. -5, 1, 3, 8 What is m in m**5 + 10*m**4 - 39*m**3 = 0? -13, 0, 3 Determine p so that 3*p**5/5 + 3*p**4 - 33*p**3/5 - 111*p**2/5 + 246*p/5 - 24 = 0. -5, -4, 1, 2 Suppose -4*g**4 - 896*g**3 - 51932*g**2 - 196240*g - 145200 = 0. What is g? -110, -3, -1 Solve -63*i**5 - 59*i**4 + 260*i**3 + 240*i**2 - 32*i - 16 = 0 for i. -2, -1, -2/9, 2/7, 2 Factor -c**3/3 + 10*c**2/3 + 88*c/3 + 128/3. -(c - 16)*(c + 2)*(c + 4)/3 Suppose -3*k**3/2 + 63*k**2/2 + 36*k - 66 = 0. What is k? -2, 1, 22 Factor -2*h**2/9 + 62*h/9 - 140/3. -2*(h - 21)*(h - 10)/9 Factor -2*x**2/9 + 190*x/9 - 184/3. -2*(x - 92)*(x - 3)/9 Factor 4*w**3 + 80*w**2 + 512*w + 1024. 4*(w + 4)*(w + 8)**2 Solve 18*w**5 + 276*w**4 + 1226*w**3 + 1288*w**2 + 392*w = 0. -7, -2/3, 0 Factor -13*g**3/3 - 1091*g**2/6 - 1904*g + 147/2. -(g + 21)**2*(26*g - 1)/6 Factor 12*q**3 + 645*q**2/2 + 1647*q/2 - 108. 3*(q + 3)*(q + 24)*(8*q - 1)/2 Solve 3*d**4 + 9*d**3 - 3*d**2 - 9*d = 0. -3, -1, 0, 1 What is m in m**3/5 + 464*m**2/5 + 53357*m/5 - 108578/5 = 0? -233, 2 Factor -3*s**2 - 33*s - 54. -3*(s + 2)*(s + 9) Solve k**4/9 + 1759*k**3/9 + 586*k**2/3 = 0. -1758, -1, 0 Factor i**4 + 3*i**3 - 40*i**2. i**2*(i - 5)*(i + 8) Suppose 10*v**3 - 26*v**2 - 12*v = 0. What is v? -2/5, 0, 3 Suppose -5*f**4/4 + 5*f**3/4 + 5*f**2 - 5*f = 0. What is f? -2, 0, 1, 2 Suppose -k**5/5 + 24*k**4/5 + 8*k**3/5 - 192*k**2/5 - 16*k/5 + 384/5 = 0. What is k? -2, 2, 24 Find r such that -5*r**5 + 60*r**4 - 170*r**3 + 60*r**2 + 175*r - 120 = 0. -1, 1, 3, 8 Let -20*d**5 - 64*d**4 + 24*d**3 + 112*d**2 - 4*d - 48 = 0. Calculate d. -3, -1, 4/5, 1 Factor -j**2/3 + 128*j/3. -j*(j - 128)/3 Determine n so that 180*n**5 + 276*n**4 + 80*n**3 - 16*n**2 = 0. -1, -2/3, 0, 2/15 Solve -2*k**4/7 + 124*k**3/7 - 2370*k**2/7 + 1768*k + 14872/7 = 0 for k. -1, 11, 26 Factor -3*x**3/8 + 15*x**2/4 + 3*x/2 - 15. -3*(x - 10)*(x - 2)*(x + 2)/8 Solve -2*q**3/3 - 140*q**2 - 832*q/3 = 0. -208, -2, 0 Factor 4*m**4 - 24*m**3 - 36*m**2 + 56*m. 4*m*(m - 7)*(m - 1)*(m + 2) Solve 2*m**2/5 - 6*m + 112/5 = 0. 7, 8 Factor -2*x**3 - 30*x**2 - 52*x. -2*x*(x + 2)*(x + 13) Factor -y**3/4 + 549*y**2/2 - 100467*y + 12256974. -(y - 366)**3/4 Factor 4*v**2 + 64*v. 4*v*(v + 16) Let -51*i**4/7 - 6*i**3 + 9*i**2/7 = 0. What is i? -1, 0, 3/17 Factor -z**2/3 - 77*z + 232/3. -(z - 1)*(z + 232)/3 What is d in 2*d**5 + 52*d**4 + 430*d**3 + 1220*d**2 + 168*d - 1872 = 0? -13, -6, -2, 1 Solve -5*d**5 - 20*d**4 + 60*d**3 + 160*d**2 - 320*d = 0 for d. -4, 0, 2 Factor 5*o**3 - 1110*o**2 + 62700*o - 121000. 5*(o - 110)**2*(o - 2) Factor -2*h**3 + 182*h**2 - 176*h - 360. -2*(h - 90)*(h - 2)*(h + 1) Factor -4*r**2 + 2980*r - 5944. -4*(r - 743)*(r - 2) Let -4*m**2 + 336*m + 2944 = 0. Calculate m. -8, 92 Factor 3*r**5 + 57*r**4 - 333*r**3 + 627*r**2 - 498*r + 144. 3*(r - 2)*(r - 1)**3*(r + 24) Let -36*a**2 + 620*a - 136 = 0. What is a? 2/9, 17 Factor -4*y**2 + 316*y - 312. -4*(y - 78)*(y - 1) Let 21*m**3/2 - 99*m**2 + 216*m = 0. Calculate m. 0, 24/7, 6 Let -3*q**3/2 + 693*q**2 - 106722*q + 5478396 = 0. What is q? 154 Suppose -w**2/2 + 7*w/2 + 9 = 0. Calculate w. -2, 9 Factor -2*p**3 + 22*p**2/9 - 4*p/9. -2*p*(p - 1)*(9*p - 2)/9 Suppose -4*j**5 - 14*j**4 + 20*j**2 + 4*j - 6 = 0. What is j? -3, -1, 1/2, 1 Factor 2*p**4/13 - 32*p**3/13 + 84*p**2/13 - 80*p/13 + 2. 2*(p - 13)*(p - 1)**3/13 Determine p so that -4*p**2/7 + 8*p + 380/7 = 0. -5, 19 Solve 4*p**2 - 21*p + 5 = 0. 1/4, 5 Factor -t**3/4 + 3*t**2/4 - t/2. -t*(t - 2)*(t - 1)/4 Find f, given that 2*f**2 + 748*f - 1504 = 0. -376, 2 Factor -2*r**5/5 + 26*r**4/5 - 44*r**3/5. -2*r**3*(r - 11)*(r - 2)/5 Factor -3*u**5/8 + 27*u**4/2 + 171*u**3/4 + 87*u**2/2 + 117*u/8. -3*u*(u - 39)*(u + 1)**3/8 Solve -4*i**5 - 260*i**4 - 508*i**3 - 252*i**2 = 0 for i. -63, -1, 0 Solve -3*n**2/7 - 183*n/7 + 54 = 0. -63, 2 Factor -o**4 + 3*o**2 - 2*o. -o*(o - 1)**2*(o + 2) Factor 2*x**2/9 - 4*x/3 - 32/9. 2*(x - 8)*(x + 2)/9 Factor y**3 - 2*y**2 - 8*y. y*(y - 4)*(y + 2) Determine z so that 2*z**4/7 - 18*z**3/7 - 22*z**2/7 + 18*z/7 + 20/7 = 0. -1, 1, 10 Suppose -9*b**5/4 + 3*b**4/2 + 81*b**3 - 126*b**2 - 384*b + 288 = 0. Calculate b. -6, -2, 2/3, 4 Determine s so that 2*s**5/7 + 2*s**4 - 106*s**3/7 + 162*s**2/7 - 72*s/7 = 0. -12, 0, 1, 3 Factor q**4 - 22*q**3 + 141*q**2 - 220*q + 100. (q - 10)**2*(q - 1)**2 Factor -u**2/3 + 5*u/3 + 12. -(u - 9)*(u + 4)/3 Solve r**4 - 4*r**3 - 125*r**2 + 1068*r - 2340 = 0 for r. -13, 5, 6 Factor -6*h**2 - 345*h + 174. -3*(h + 58)*(2*h - 1) Find s such that -5*s**3/4 + 155*s**2/4 = 0. 0, 31 Determine s so that 8*s**2/3 - 167*s/3 - 7 = 0. -1/8, 21 Suppose -4*c**5 - 20*c**4 - 20*c**3 + 20*c**2 + 24*c = 0. Calculate c. -3, -2, -1, 0, 1 Solve d**3 + 22*d**2 - d - 22 = 0 for d. -22, -1, 1 Suppose 5*a**2 - 435*a + 850 = 0. What is a? 2, 85 Suppose -68*t**2/7 + 2*t/7 = 0. What is t? 0, 1/34 Factor -2*m**3/5 - 8*m**2/5 + 114*m. -2*m*(m - 15)*(m + 19)/5 What is s in 16*s**5 - 548*s**4 - 21768*s**3 - 15868*s**2 + 5336*s = 0? -23, -1, 0, 1/4, 58 Solve -3*f**5 + 42*f**4 - 195*f**3 + 372*f**2 - 252*f = 0 for f. 0, 2, 3, 7 Factor 2*u**3 + 366*u**2 + 22326*u + 453962. 2*(u + 61)**3 Suppose -3*j**3 - 12*j**2 + 15*j = 0. What is j? -5, 0, 1 Factor 2*m**4/5 + 22*m**3/5 + 44*m**2/5 - 24*m - 144/5. 2*(m - 2)*(m + 1)*(m + 6)**2/5 Determine x so that 42*x**3 + 380*x**2 - 392*x + 80 = 0. -10, 2/7, 2/3 Solve -35*t**5/4 - 225*t**4/4 - 55*t**3/4 + 225*t**2/4 + 45*t/2 = 0. -6, -1, -3/7, 0, 1 Factor 2*r**4 - 1536*r**2 + 16384*r. 2*r*(r - 16)**2*(r + 32) Let y**5/4 - 27*y**4 + 1403*y**3/2 + 1485*y**2 + 3025*y/4 = 0. Calculate y. -1, 0, 55 Suppose -5*c**5 + 70*c**4 - 260*c**3 + 330*c**2 - 135*c = 0. Calculate c. 0, 1, 3, 9 What is a in a**4/3 + 57*a**3 = 0? -171, 0 Let -5*g**2 - 7210*g - 2599205 = 0. Calculate g
{ "pile_set_name": "DM Mathematics" }
t o be c(-150). Solve -o*y = 2*l + 14, 15*y = 19*y + 5*l + 1 for y. -4 Suppose 8*y + 92 = 28. Let p(d) = -13*d - 102. Let b be p(y). Solve r + 2 = b*s - 0, 35 = 5*r + 5*s for r. 4 Let f be 16/10*(-100)/(-80). Solve -19*v + 22*v - f*d = 19, 2*d - 2 = -4*v for v. 3 Let q(s) = s**3 + 29*s**2 + 54*s + 9. Let n be q(-27). Let w be ((-3)/n)/(2*(-4)/24). Solve p + 2*c = 11, c + w = 3*p - 4 for p. 3 Let m = -239 - -257. Let q be -2 + 1/((-2)/24). Let n = q + m. Solve -j - a = n*j - 23, -3*a + 9 = 0 for j. 4 Let r(m) = -m**2 + 1. Let h(w) = w**3 - 11*w**2 + 16*w - 34. Let b(s) = -h(s) - 4*r(s). Let g be b(14). Solve d = -2*d - n + 7, n - 5 = -g*d for d. 2 Suppose 24*d - 12*d = 264. Suppose -26 = -12*v + d. Solve -3*f - o = -0*o + 4, -4*o = v*f for f. -2 Let q(p) = -1 + 6*p + 25 + 9. Let c be q(-5). Solve -5*t = v + 40 - 15, -c*v = 0 for t. -5 Let r(v) = 171*v - 18. Let k be r(-1). Let j = 194 + k. Suppose 2*p = -2*p + 48. Solve 0 = -2*l + 5*l - 4*s - 3, j*l + p = s for l. -3 Suppose 3*l = 3*z - 72, -57 - 84 = 5*l + 2*z. Let u = 382 - 409. Let s = u - l. Solve s = 3*x - 3, -1 = 4*y + 4*x + 11 for y. -4 Suppose 10*f - 28 - 102 = 0. Suppose -p + 49 = -7*v + 3*v, 4*p = -2*v - 20. Let u = v - -15. Solve 5*j - 4*t = -f, u*j - 5*t = -2*j - 15 for j. -1 Let k(v) = 6*v - 18. Let u be k(3). Solve u = 2*x + 6*o - o + 7, -2*x - 3*o - 5 = 0 for x. -1 Let d(w) = w**2 + 113*w - 2288. Let l be d(-131). Solve 0 = 4*n, 3*k = -2*n - 58 + l for k. 4 Let p = -45 - -101. Suppose -5*m = 3*m - 448. Let j = p - m. Solve 2*a - 3*h - 3 = -7, j = h - 4 for a. 4 Let c = -139 + 159. Suppose -2*f + c = 4*h, 4*h + 4 = -27*f + 31*f. Solve -3*d + 2*k = 4*k - 14, -4*k = -h*d - 10 for d. 2 Let v(h) = -4*h - 73 - 16*h + h. Let d be v(-4). Solve -3*m + d*c = 18, 1 + 3 = c for m. -2 Let f(q) = 29*q + 163. Let k be f(-5). Solve 0 = 5*h + 4*x - k, 0 = h + h - 2*x for h. 2 Suppose 50*u = 41*u + 126. Solve -26 = 4*b + 4*m + u, -m = 5 for b. -5 Suppose -127*v + 24 = -115*v. Solve 0 = 4*y - 2*b - 22, 0*y = -2*y + v*b + 14 for y. 4 Let x = 6 + -1. Let j = 169 - 166. Suppose 3*t = -t, -t = j*z - 15. Solve h - 2*v + z = 0, -x*v = -4*h + 6 - 23 for h. -3 Suppose 7*c = 8*c - 4*x - 9, -3*c + 11 = 4*x. Solve c*h = -5*f, -5*f = -4*h - 8*f + 5 for h. 5 Let d(l) be the third derivative of -11*l**4/24 - 13*l**3/2 + 73*l**2. Let s be d(-4). Solve 0 = -x + 2*a + s, -3*x + 4 = -3*a - 2 for x. -1 Suppose 38*x - 34 = 21*x. Let s = -17 - -21. Suppose -3*m - 9 = -r, 5*r + 5*m = -11 - s. Solve 0*q - 8 = x*f - 5*q, r = 3*f + 3*q + 12 for f. -4 Let f(a) = a**3 - 7*a**2 + 10*a - 1. Let w be f(5). Let d be 21/9*2 - w/3. Solve -4*o + q = -18, -o + d*q = o for o. 5 Let l(m) = 3*m + 10. Let j be (6/(-4))/((-15)/6 - -3). Let z be l(j). Suppose -3*n = -4*b - 12, 4*b = n - 3 - z. Solve -5*q - 4 = 2*v + v, b = v - q - 4 for v. 2 Suppose -132*l + 33*l + 71 = -226. Solve 0*d + 4*v - 3 = -3*d, d + l*v = 1 for d. 1 Let u be 300/(-70)*1*(7 + 0). Let r be (-3)/(u/(-11) + -3). Let a = 209 + -206. Solve -a*f + 0*x - 2*x + r = 0, 20 = 5*x for f. 1 Let k(t) = -t**2 + 20*t. Let w be k(20). Suppose w = -3*s + 10 + 23. Solve -3*m + 0*a = -a + s, -4*a = -m for m. -4 Suppose 0 = 27*q - 38*q + 55. Solve h = -3*c + 5, -22*c + 21*c = -3*h + q for c. 1 Let n be (-3 - 48/(-15)) + 1272/40. Suppose -115 = -n*g - 19. Solve -4*j + g*b - 6*b = -12, 12 = 4*j + b for j. 3 Suppose 69 = 2*c + 31. Suppose c*l - 15*l - 14 = 3*f, 0 = 3*l - 4*f - 7. Solve d - 2*q + 1 = -0, -6 = -l*d - q for d. 1 Let r be 6*((-4)/(-6) - (-2)/(-12)). Let m be (-11)/(-44) - (r + (-124)/16). Solve 0*i - 3*i = -2*f + 20, -m*i = -f + 24 for i. -4 Suppose 4*i + 2*x + 229 = 257, -2*x - 20 = -4*i. Solve -2*q + i = -c, 0 = -3*q - 28 + 43 for c. 4 Let h(v) = -9*v**2 - 17*v + 36. Let c be h(-3). Solve -3*b - c = 0, -z + 10 = -5*b - 5 for z. 5 Let a be (-5 + 5)/(8 + -7). Solve a = 3*w + w - 3*l, -w - 7 = l for w. -3 Let p = -4607 - -4613. Solve -5*t = 10, 0 = -4*d - 5*t - 16 - p for d. -3 Let k = 32607 - 32600. Suppose 2*s = 5*f - 13, 4*f + 3*s - 15 = -0*f. Solve -v + k + 5 = -f*p, 4*v - p = -7 for v. -3 Let g be 1*13*(-4 - -5). Suppose -121 = -g*w + 2*w. Solve 4*t - 2*u + 3 = w, 4*t + 2*u = 8 for t. 2 Let b = -3143 - -3148. Solve -79*u - 11 = -4*m - 84*u, -b*m - 2*u + 18 = 0 for m. 4 Let j(n) = 31*n + 1025. Let g be j(-33). Solve g - 3 = w + m, -3*w = 2*m for w. 2 Let m(o) = o**3 + 7*o**2 - 9*o + 8. Let r be m(-8). Let h = -140 - -158. Suppose 0 = -h*x + r*x. Solve z - 5*l = -4, 3*z + 2*l + 3*l + 12 = x for z. -4 Suppose -o = -24*s + 26*s - 12, -2*s - 5*o + 28 = 0. Solve 8 = d + 5*y, -24*y = -s*d - 20*y - 16 for d. -2 Let y be 27/(-45) - 88/20. Let v be (y/(-15))/(6/(-36)) + 7. Solve v*g = -2*c - 20 - 3, -3*g - 16 = -c for c. 1 Let c(q) = 2*q**3 - 8*q**2 - 7*q - 10. Let u be c(5). Suppose -u*h = -2*j + 10, 2*h - j + 3 = -2. Solve 5 = 2*a - 3*p, h = 5*a - 3*p - 8 for a. 1 Suppose 13*t - 52 - 13 = 0. Let x be -3*t/15 + 5. Solve 5*m + 21 = -x*l, -3*l - 6 = m + 7 for m. -1 Let w = -223 - -203. Let g be (w/(-18))/(-5) + 6/27. Solve -4*l + 2*l - 10 = -4*y, g = -y + l + 3 for y. 2 Suppose -6*f = -2*f - 12. Let i be ((-6)/8 - (-14)/8)*f. Let w be (3 - 0)/(3/i). Solve -4*y = -3*q + 8, 3*q - w = -y - 5 for y. -2 Suppose 0 = -5*x + 4*c + 236 + 17, x = 2*c + 53. Solve 47*n = -3*o + x*n + 12, -4*n - 10 = o for o. 2 Suppose -16*g = -48*g - 15 + 79. Solve 5*k - 2*x + 4 + 0 = 0, -3*k - x = -g for k. 0 Let y = 0 + 3. Suppose -4*s = -5*s - 3, -504 = -4*o - 4*s. Let d = -126 + o. Solve -4*m - 22 = -5*a, -y*a + d*m + m = -18 for a. 2 Suppose -j = 3 + 1. Let i be (-2)/((1/(-35))/(j/10)). Let h = i - -28. Solve 2*m + h = 10, -a - 2*m = -7 for a. -3 Suppose 0 = -29*t + 10*t. Suppose t = -5*a + 4*w + 95, -4*a - 21 + 103 = -2*w. Solve -x + 3*j = 9, -2*j - 6 + a = 3*x for x. 3 Let y = 5011 - 5007. Solve -16 = -4*b - 4*g - 4, -g = y*b - 3 for b. 0 Let o be 6/(-4)*-1*-2. Suppose -2*s + 20*s = -108. Let l be o + (-2)/s + (-23)/(-3). Solve 2*c = c + 2*n + 5, 3*c - l*n = 12 for c. -1 Suppose -4*d = -5*d. Let h = 16 - 11. Let t = -339 + 344. Solve 2*y = -d*y + t*x + h, 3*x + 3 = 4*y for y. 0 Let u = -22475 + 22500. Solve 0 = 5*d + 2*g - 13, 16 = 5*d - 26*g + u*g for d. 3 Let v be (8/(-6))/(28/(-21)). Solve -f - 3*k - 4 = 0, v = 3*f - 4*k - 0*k for f. -1 Let j = 2 - 1. Let x be j/((4 + -3)*(-3)/(-15)). Solve -5*f + 3*v = 12, 4*v + 11 = -x*f - 8 for f. -3 Let n = -475 + 525. Let l be (n/(-125) - (-26)/(-10)) + 6. Solve 4*p - 2*b = 0, -2*p - l*b - b = 10 for p. -1 Let p(l) = 3*l**3 + 2*l**2 - 24*l. Let r be p(0). Solve r = m + 5, 5*u + m + 20 = 10*u for u. 3 Let s = -36 - -46. Let z(j) = -j**2 + 4*j - 13. Let a be z(s). Let m = -73 - a. Solve m = -4*d - 20, -q - 17 = 3*d - 0*d for q. -2 Let o = 45 - -43. Let j be (-14)/(-2*4/o). Let i be (-1)/(-3) + j/33. Solve 0 = -3*l + 3*c - 21, 2*c - 30 = i*l - 2*c for l. -2 Let i be (-27)/(-12)*2*20/45. Suppose -3*x - 67 + 186 = i*o, 0 = -o + 4. Solve 2*n + 3*n = 3*j - x, 5*n + 9 = -4*j for j. 4 Let x be (12/(-4))/((-4)/60). Suppose a = 43*d - x*d + 25, 61 = 5*d + a. Let n = -2 - -4. Solve -n*b - 2*z - d = -b, 0 = 2*b + 5*z + 29 for b. -2 Suppose 0 = 154*z - 85 - 377. Solve 65*a - 63*a + z*u - 16 = 0, -3*a - 2*u + 19 = 0 for a. 5 Let i be (6/1 + (-528)/96)*0. Solve a + 5*s - 3 = 5*a, i = -4*s - 4 for a. -2 Let i = 6909 + -6903. Let r(a) be the first derivative of 2*a**3/3 + a**2 - 2. Let l be r(-2). Solve i + l = y + 2*h, 4*y = 4*h - 8 for y. 2 Let g(c) = 162*c + 1307. Let a be g(-8). Solve -5*y = 5*n - 11 - 14, 0 = y + 3*n - a for y. 2 Let f = -1236 - -1257. Solve -19 = 4*i - w - f, -5*i - 2*w = 17 for i. -1 Let n(l) be the first derivative of l**3/3 - 136*l - 164. Let x be n(12). Solve 0 = 3*s - r - x, 4*s - 2 = -3*r for s. 2 Suppose h + 15 = 4*h. Let d(t) = -t**2 + 5*t + 6. Let i be d(0). Solve h*y + 26 = 3*u - i*u, -6 = 3*u for y. -4 Let r = 82 + -68. Let z(g) = -g**2 + 16*g - 6. Let q be z(r). Suppose q*x - 20*x = 4. Solve 4*s = -5*u + 8, -s - 2*u = x*u - 2 for s. 2 Let v = -2025 - -2027. Solve 5*a = -15, 3*z - v*a + 15 = -4*a for z. -3 Suppose 4*d + 108 + 36 = 5*v, 116 = 4*v - 3*d. Suppose -55*t + 63*t = v. Solve -25 = -4*s - q, 0 = 5*s + q - t*q - 10 for s. 5 Let i be ((-24)/16)/((-3)/8)*(-18)/(-36). Solve 3*o - i*w + 43 = 50, 0 = -2*o - w for o. 1 Let k(h) = 5*h - 22. L
{ "pile_set_name": "DM Mathematics" }
34? True Does 30 divide 2430? True Does 33 divide 561? True Is 9741 a multiple of 191? True Is 80218 a multiple of 210? False Is 33 a factor of 32056? False Is 349 a multiple of 5? False Does 6 divide 1314? True Does 14 divide 7222? False Is 59 a factor of 16461? True Is 2964 a multiple of 78? True Is 11954 a multiple of 86? True Is 18 a factor of 5269? False Does 139 divide 9591? True Is 8 a factor of 310? False Is 8 a factor of 13270? False Is 119 a factor of 5242? False Is 57155 a multiple of 28? False Is 139 a factor of 14873? True Is 4788 a multiple of 109? False Is 52 a factor of 1456? True Is 39261 a multiple of 185? False Does 6 divide 245? False Is 1519 a multiple of 10? False Does 12 divide 150? False Is 275 a multiple of 10? False Is 1848 a multiple of 56? True Is 7 a factor of 8494? False Is 248 a multiple of 13? False Does 2 divide 661? False Does 9 divide 48668? False Is 41 a factor of 6861? False Is 63 a factor of 1899? False Is 21 a factor of 11473? False Does 63 divide 4221? True Does 93 divide 18042? True Does 264 divide 14364? False Is 88 a factor of 7376? False Is 1194 a multiple of 16? False Is 385 a multiple of 35? True Does 90 divide 77592? False Is 60 a factor of 5335? False Does 41 divide 1025? True Is 31 a factor of 403? True Is 21 a factor of 3066? True Is 201 a factor of 72443? False Is 448 a multiple of 56? True Is 1264 a multiple of 176? False Is 24 a factor of 136? False Does 32 divide 1984? True Is 16 a factor of 2212? False Does 8 divide 5925? False Is 31611 a multiple of 41? True Is 43 a factor of 10937? False Is 70 a factor of 280? True Does 38 divide 2964? True Is 63 a factor of 8820? True Does 12 divide 6240? True Is 20 a factor of 840? True Is 13 a factor of 29887? True Is 8 a factor of 8072? True Is 27 a factor of 405? True Does 27 divide 7722? True Is 915 a multiple of 49? False Is 2251 a multiple of 24? False Does 16 divide 240? True Is 21412 a multiple of 53? True Is 150 a factor of 22500? True Does 8 divide 1761? False Is 1585 a multiple of 25? False Is 144 a multiple of 3? True Does 25 divide 1920? False Is 5834 a multiple of 41? False Is 7 a factor of 693? True Does 13 divide 338? True Does 26 divide 2680? False Is 480 a multiple of 24? True Is 2015 a multiple of 13? True Is 114 a factor of 792? False Is 13279 a multiple of 61? False Is 32175 a multiple of 9? True Is 24674 a multiple of 10? False Is 25 a factor of 11492? False Is 18669 a multiple of 8? False Is 55 a factor of 10230? True Is 95 a factor of 2280? True Is 39544 a multiple of 25? False Is 2156 a multiple of 11? True Is 10 a factor of 257? False Is 256 a multiple of 8? True Is 40416 a multiple of 16? True Is 23885 a multiple of 17? True Is 6304 a multiple of 67? False Is 539 a multiple of 12? False Does 20 divide 1032? False Is 535 a multiple of 8? False Is 5523 a multiple of 27? False Is 3 a factor of 132? True Does 36 divide 13608? True Is 376 a multiple of 2? True Is 80296 a multiple of 13? False Is 99 a factor of 9624? False Is 4760 a multiple of 4? True Does 194 divide 43068? True Is 11 a factor of 101236? False Is 5 a multiple of 3? False Is 6410 a multiple of 45? False Is 32354 a multiple of 14? True Does 64 divide 1984? True Is 13 a factor of 9087? True Is 1348 a multiple of 4? True Is 220 a factor of 22440? True Is 36 a factor of 11016? True Does 13 divide 260? True Does 13 divide 2275? True Does 14 divide 20071? False Is 19908 a multiple of 79? True Is 54 a factor of 481? False Is 5664 a multiple of 24? True Does 21 divide 26634? False Is 56 a multiple of 4? True Is 114296 a multiple of 52? True Is 1310 a multiple of 6? False Is 13 a factor of 1557? False Is 64 a factor of 23168? True Is 33 a factor of 23256? False Is 2471 a multiple of 3? False Is 994 a multiple of 7? True Does 7 divide 530? False Is 3 a factor of 110? False Is 55 a factor of 9576? False Is 17 a factor of 3548? False Is 30297 a multiple of 5? False Is 16 a factor of 7707? False Is 27 a factor of 648? True Is 25 a factor of 10675? True Is 561 a multiple of 17? True Is 28 a factor of 5348? True Does 3 divide 1101? True Is 19602 a multiple of 33? True Does 25 divide 450? True Is 130 a factor of 15470? True Is 2640 a multiple of 48? True Is 142 a factor of 13348? True Does 6 divide 3168? True Does 13 divide 741? True Does 15 divide 1260? True Does 83 divide 1826? True Is 2 a factor of 817? False Is 31 a factor of 4061? True Does 16 divide 10704? True Does 23 divide 1702? True Does 30 divide 3330? True Is 18 a factor of 1116? True Is 98 a factor of 10682? True Is 8 a factor of 40585? False Does 34 divide 952? True Does 21 divide 460? False Is 25 a factor of 3970? False Is 3068 a multiple of 13? True Is 13 a factor of 2224? False Does 113 divide 3277? True Does 7 divide 67548? False Is 191 a multiple of 17? False Is 4 a factor of 13530? False Is 4041 a multiple of 9? True Is 17 a factor of 1258? True Does 35 divide 28630? True Is 6 a factor of 295? False Is 120 a factor of 20760? True Does 22 divide 678? False Is 138295 a multiple of 31? False Is 30 a factor of 1103? False Does 10 divide 533? False Is 335 a multiple of 67? True Is 1352 a multiple of 71? False Is 10 a factor of 7000? True Is 286 a multiple of 11? True Is 28259 a multiple of 367? True Does 13 divide 574? False Does 11 divide 5267? False Does 40 divide 9320? True Does 35 divide 7467? False Does 40 divide 40? True Does 9 divide 594? True Is 57 a factor of 2524? False Is 325 a multiple of 25? True Is 10260 a multiple of 54? True Does 4 divide 6696? True Does 26 divide 47172? False Is 85 a factor of 4143? False Does 37 divide 6280? False Does 9 divide 1593? True Does 9 divide 270? True Does 95 divide 1154? False Is 2200 a multiple of 12? False Is 121 a factor of 2662? True Does 25 divide 207? False Is 7257 a multiple of 41? True Does 9 divide 1584? True Is 627 a multiple of 57? True Is 22482 a multiple of 12? False Is 33 a factor of 523? False Is 27 a factor of 1377? True Is 153 a multiple of 17? True Is 20 a factor of 23873? False Is 60 a factor of 1414? False Does 89 divide 6141? True Is 23 a factor of 521? False Is 11442 a multiple of 9? False Is 18 a factor of 558? True Is 61 a factor of 2318? True Does 103 divide 35306? False Is 88274 a multiple of 38? True Is 15 a factor of 28890? True Is 5 a factor of 283? False Is 26 a factor of 1612? True Is 7 a factor of 27818? True Is 11 a factor of 1527? False Is 6 a factor of 78? True Is 3087 a multiple of 49? True Does 27 divide 21463? False Does 9 divide 1017? True Is 3 a factor of 110? False Does 8 divide 176? True Is 39 a factor of 45474? True Does 12 divide 58082? False Is 15261 a multiple of 16? False Is 290 a multiple of 29? True Does 235 divide 16685? True Is 913 a multiple of 11? True Is 2420 a multiple of 14? False Is 90 a multiple of 18? True Is 14 a factor of 2226? True Does 34 divide 2074? True Is 32 a factor of 634? False Does 337 divide 9290? False Is 54 a factor of 7649? False Is 2 a factor of 1627? False Is 148096 a multiple of 32? True Does 17 divide 2642? False Does 77 divide 352? False Is 89 a factor of 2848? True Is 53159 a multiple of 53? True Does 9 divide 2043? True Is 6 a factor of 258? True Is 28 a factor of 6404? False Is 13150 a multiple of 157? False Does 12 divide 5376? True Is 548 a multiple of 4? True Is 46 a factor of 4056? False Does 17 divide 510? True Is 5939 a multiple of 12? False Is 48 a factor of 921? False Is 22 a factor of 13669? False Is 24 a factor of 3048? True Does 27 divide 702? True Is 3 a factor of 1935? True Is 184 a factor of 3864? True Does 11 divide 1592? False Is 5 a factor of 3575? True Is 30 a factor of 480? True Is 9 a factor of 63? True Does 102 divide 4692? True Is 4032 a multiple of 48? True Does 15 divide 25303? False Is 8820 a multiple of 21? True Is 3152 a multiple of 79? False Is 13 a factor of 2046? False Does 7 divide 3789? False Is 56 a factor of 3589? False Is 6 a factor of 2994? True Does 7 divide 79187? False Does 60 divide 16003? False Is 9315 a multiple of 45? True Is 96252 a multiple of 52? True Is 1023 a multiple of 13? False Is 21 a factor of 845? False Is 580 a multiple of 7? False Is 273 a multiple of 13? True Does 17 divide 289? True Does 3 divide 102? True Is 6361 a multiple o
{ "pile_set_name": "DM Mathematics" }
- 20*n + 99*n, -4*n - 53 = -5*x for x. 1 Solve -10365*w - 545 = -5*a - 10325*w, 0 = 2*a + 5*w + 76 for a. -3 Solve 857*r + 4*s = 856*r + 23, 3*s = -5*r + 13 for r. -1 Solve 0 = -5*j - 4*s - 163, 0*j - j - 630 + 353 = 6*s for j. 5 Solve 5100*z - 5102*z = -3*n + 53, -12*n - z = 94 for n. -5 Solve 15 = -5*b + 3162*y - 3157*y, 3*b - 2*b - 4*y = -0*b - 27 for b. 5 Solve -165*w + 3*v + 1633677 - 1633983 = 0, -4*w - 5*v + 14 - 62 = 0 for w. -2 Solve 17 = -7*u + 2*g, -634*u - 5*g - 90 = -625*u for u. -5 Solve 2*g - 4*g = 13*w - g + 4*g + 83, -6*g = 3*w + 24 for w. -6 Solve 5*h + 45 = 2113*c - 2116*c - 12, -4*h = 3*c + 60 for h. 3 Solve -376*o - 11 = 2*v - 377*o, -49 = -10*v - 3*o for v. 1 Solve 54*c + 3*i + 20 = 111*c - 55*c, 0 = -4*c + 8*i + 36 for c. 13 Solve 0 = -5*x + 5, 986 = 13*n + 2*x - 576 for n. 120 Solve 2*q + 16 - 2 - 34 = 6*x, -28 = 5*x + 4*q for x. -4 Solve -3*t - 53 = -3*j - j, -4*t = 5*j + 2*j - 0*j - 102 for j. 14 Solve -k = 7*w + w - 11*w - 52, 28*w = -k + 16*w + 37 for k. 49 Solve -5*q + 3*m + 86 = -0*m + 95, 6*m + 2*m - 64 = 0 for q. 3 Solve -4*y - 5*n = -42, -51760*y - 5*n + 48 = -51759*y for y. -2 Solve 3*g = 3*u - 2*u - 2, 5*g - 7 + 15 = 2*u for g. 4 Solve -c = -16*m + 225, -3*c - 3*m + 362 = -2*m + 351 for c. -1 Solve -12*s - 88415 = -2*r - 88441, 0 = s - r - 3*r - 121 for s. -3 Solve 0 = -4*w + 4*c + 86 - 114, 2*c = -330*w + 336*w + 5*c - 3 for w. -2 Solve z = 5*y - 107, -177 = -16*y + 2*z + 169 for y. 22 Solve -7*z = -3*g + 557 - 19, 5*g - 846 = 11*z for g. 2 Solve -3*k = v + 36, -18182*v + 18177*v - 57*k - 726 = 0 for v. 3 Solve 3*f + 4*v = -87, -123*f - 8233*v + 8230*v = 877 - 208 for f. -5 Solve -q + 4423 - 4492 = -5*a, 2*q + a = 4 + 1 for q. -4 Solve 0 = 117*p + 3*h + 3168, -9*p - h = -4*p + h + 141 for p. -27 Solve 119*t - 5*q = 124*t + 52 + 13, 21*t = -3*q - 309 for t. -15 Solve -45*l - 37 - 126 - 60 = -2*v + 10*l + 5, 0 = 6*l + 24 for v. 4 Solve 4*c - 77*u - 77*u + 321 = -159*u, 18*c - 2*u = 15*c + 133 for c. 1 Solve -3*g - 5*j = 25, 2*g + j + 187 = -35*j + 7 for g. 0 Solve -10 = -7445*a + 7450*a + 3*s, a = -10*a + 5*s - 22 for a. -2 Solve 6*d + 436 - 868 = 5*i - 456, -i + 4 = -d for d. -4 Solve 0 = -6*s - 5*f + 165, 0 = -2*f + 18977 - 18923 for s. 5 Solve -2*a + 2511 - 2694 = 3*q, 2*a - 8*a = -q - 41 for a. -3 Solve 4*w = b + 18153 - 18107, 5*b + 155 = -5*w for b. -34 Solve -5*n - 6*x + 11 = 212, -13*x = n - 0*n + 465 for n. 3 Solve -f + 127*o + 49 = 122*o, -f + 22*o + 219 = 0 for f. -1 Solve 0 = 37*j - 38*j + 8*q + 124, -2*j + 11 = -2*q - 27 for j. 4 Solve 17*i - 156 = -3*h, -130*i = 3*h - 126*i - 117 for h. 35 Solve 38*q = -13*p - 45*q + 82*q - 125, 20 = 4*q for p. -10 Solve 0 = 7*m - 3*m - 2*m + 3*m + 3*k + 30, -25 - 10 = 7*k for m. -3 Solve 109*o + 39 = 3*l + 113*o, -o - 18 = -3*o - 2*o + o for l. 5 Solve 160 = -2*v - y + 184, -56 = -2*v - 3*y for v. 4 Solve 0*w - w - 3*m = -9, -5*m = -3*w - 0*m - 8*m + 15 for w. 3 Solve 16*t - 18*t + 0*v + 43 = v, -t = -5*v + 237 for t. -2 Solve 4*a - 2*p = 214, -199*a - 1328 = -224*a + 3*p for a. 53 Solve 0 = -5*r - 12*v + 15*v + 9 + 53, r - 221 = 30*v + 350 for r. 1 Solve 5*i = 6*o + 61, -5*i - 3*o - 6535 = -6632 for i. 17 Solve 2*t = -5*p + 84, -t + 18 = 15990*p - 15989*p for t. 2 Solve g + 33 - 1 = -6*n, 2*g + g = -106 + 46 for n. -2 Solve -4*f = 6*q - 184, -132*f + 2*q = -136*f + 56 for f. -2 Solve -5*k = 58278123*s - 58278128*s - 80, -2*k - 3*s - 33 = 0 for k. 3 Solve -52*x + z + 663 = 90, 320 - 128 = 109*x - 92*x - 5*z for x. 11 Solve 2*j - 91794*o = 4*j - 91796*o - 22, -2*j = 4*o + 14 for j. 5 Solve g - 22 = 5*t, -108*t - 227*g - 552 = -223*g for t. -5 Solve 2*p - p + 5*w = -p + 65, p + 5 = 7*w + 9 for p. 25 Solve 7*g - 5*g - a - 13*a - 9 = 7*g, 5*a - 20 = 0 for g. -13 Solve -5*z + 59 = 2*l + 33, -7*l + 5*z + 4 = l for l. 3 Solve 0 = k + 2*b + 2, 115469*b = -2*k + 115466*b - 8 for k. -10 Solve s + 129 - 211 = -2*k - 109, 2*s + 36 = 5*k for s. -23 Solve -23476*z = -2*x - 23472*z - 154, 2*x - 5*z = -157 for x. -71 Solve 4*g = 3*h + 2*h - 38 - 58, 4*g - 60*h + 39*h + 416 = 0 for g. 1 Solve -h + l = 9, -4*h - 3*l = -10192 + 10214 for h. -7 Solve 3*w - 20*t - 30 = 19*t - 36*t, -1298*w + 10390 = -3*t for w. 8 Solve -i + 2*j - 20 = 5*j, 4*i = -4*j + 120 - 144 for i. 1 Solve -118*i = -115*i - 17*s + 34, -4*s + 2 = 3*i - 6 for i. 0 Solve -46 = a + 5*x, -48 = 2*a - 856*x + 855*x for a. -26 Solve -8*i + b = -12*i + 5, 76 = 79*i + 3*b - 73 for i. 2 Solve -11*q + 5 + 100 = -16*q - 2*v + 3*v, 26*v - 63 = 3*q for q. -21 Solve -5*r + 24*w - 23*w = 0, 3*r + 35*w + 189*w + 1123 = 0 for r. -1 Solve -3*z - 55 = 15320*k - 15315*k + 40, 40 + 87 = -3*z - 7*k for z. -5 Solve -2*o + 2*k = -5*o + 5*k - 153, -4*o = -7*k + 219 for o. -46 Solve -j = -6*h + 58, -4*h - 392*j + 146 = -395*j for h. 2 Solve m - 2*m - 5*v - 102 = 3*m - 2*v, 17*m + 2*v + 111 = 0 for m. -3 Solve -2*c + 147206*h = 147207*h + 31, 4*c - 4*h = 112 for c. -1 Solve j + n = -n - 1, 4*n - 3 = j + 2*j for j. -1 Solve -z + 13 - 2 = -11*i, 15*z - 10*z + 4*i - 232 = 0 for z. 44 Solve 290 = -10*l + 4*d, 3*l - 182*d + 108 = -185*d for l. -31 Solve -19*x = -5*n - 125, -2*n + 66*x - 65*x = 17 for n. -6 Solve -4*s - 4 = 4*x, -3*x + 17*s = 18*s + 9 for x. -4 Solve p - 17 + 19 + 58 = -9*p + 2*j, 25*j - 47*j - 15 = -23*j for p. -3 Solve -83614 + 83580 = 3*m - j, 0 = -4*m + 3*j - 8*j + 151 for m. -1 Solve 5*d + 109 = q, 5*q - 5 + 76 = -3*d for d. -22 Solve 2*m = 20*x - 190, -3239*m - x = -3242*m + 5 for m. 5 Solve -4*t - 16535 + 16725 = 5*h, -3*t + 27 = h for h. 42 Solve 3*n - 3236*b = -3235*b - 39, -2*n = 25*b + 103 for n. -14 Solve -5*i - 3*a = -85, 4*i + 2183198 = 7*a + 2183219 for i. 14 Solve -5*o - 85*i + 90*i = -3*o - 44, 7*o + 13*i - 215 = 0 for o. 27 Solve 3*t + 33 = 3*n, 7*n - 4565*t + 49 = -4576*t for n. 4 Solve -13*x - p + 442 = 0, 46*p = -2*x + 49*p + 68 for x. 34 Solve a + 191*q = 189*q - 139, 3*a - 248 = -a + 4*q for a. -5 Solve 11*m - 18 = -28*b + 51, 0*m + 11*b - 31 = m + 44 for m. -9 Solve 47 = -5*g + 2*o - 13, -447 + 465 = -2*g + 2*o for g. -14 Solve -5160*n + 36 = -4*j - 5158*n, -j - 3*n + 2 + 17 = 0 for j. -5 Solve 4*c = -4*a - 4, 2*a - 7*c + 3079723 - 3079703 = 0 for a. -3 Solve -8602 = -5*p - x - 8619, 733*x = -3*p + 2187 for p. -4 Solve 50 + 30 = 5*l + 8*k + 12, k + 31 - 49 = -3*l for l. 4 Solve -5*p - 5*a = 0, -3*p - 5*a + 23*a = 20*a - 4 for p. 4 Solve -5*c = 4*h + 159, 0 = -8948*h + 8949*h - c + 33 for h. -36 Solve -734*y + 1900 = -772*y, m = 3*y + 155 for m. 5 Solve -2*j = -2*d + 14, -17*j + 19*j - 1113*d + 18 = -1109*d for j. -5 Solve 3*a + i = -4*i + 26, -14*a - 14*a + 26*a = -i for a. 2 Solve 2*f = -r + 3*f - 1, 4*r + 5*f = 2*r + r + 23 for r. 3 Solve -3*n - 39 = 3*y, -n - 6*y - 71*y = -4*n - 39 for n. -13 Solve 0 = -5*z + 3*a + 10, 12*z - 3*a + 676 = 721 for z. 5 Solve -653938*h - 3*y - 94 = -653934*h, 0 = -2*h + 4*y - 36 for h. -22 Solve 0 = 5*j - 8*a + 7*a - 3*a - 45, 2*j - 19 = 5*a + 33 for j. 1 Solve 0 = 2*o - 3*i - 29, 10*i = 4*o + 2*o + 11*i + 43 for o. -5 Solve 51 = -4*p - 3*a, -61 = 4*p + 6*a + 102 - 121 for p. -15 Solve 69 = -18*o - c, o = 4*c - 100 + 157 for o. -3 Solve 281*a - 5*t = 278*a + 4, 8*a + 18 = -6*a - 18*t + 23*t for a. -2 Solve 2*k - 299 + 203 = 0, 0 = 3*h + 67*k - 3210 for h. -2 Solve -5*r + 5 = -0*r - 2*f, 23 = -433*r + 430*r - 4*f for r. -1 Solve 0 = -3*y - 3*r - 150, -293*y - 177 - 38 = -292*y + 4*r for y. 5 Solve -5*i - 5261 = -2*x - 5220, -2*x - 121 = 13*i for i. -9 Solve 55 = 5*l + 5*h, -9311*h + 9270*h = 5*l - 55 for l. 11 Solve 3*g - 39*f + 12 = 0, 62*g - 23*g = 17*g + 19*g + 3*f - 13 + 1 for g. -4 Solve 46*z - 14*z + b - 14 = 27*z, 2*z - 168 = -41*b for z. 2 Solve 48*t = 2*b + 62, b + 2 = 4*t - 18 - 11 for t. 0 Solve 5*q + 14 = -13*d - 16*d + 144, d + 472*q = 484*q + 41 for d. 5 Solve 23 = -540*m + 535*m - 2*p, m - 22 = -28*p + 29*p for m. 3 Solve 20*p - 2*l + 46 = 10*p, 0*p + 0 = 5*p - 3*l + 19 for p. -5 Solve 17936 - 17962 = -4*b + 2*r, -4*r - 22 - 10 = -5*b - 17 + 28 for b. 3 Solve k + 73 = 5*y, 17*y + 5*k + 68749 = 69014 for y. 15 Solve -171*h + 166*h = -n + 6, 5*n = -46*h - 254 for h. -4 Solve 3*s = 36*z - 792, -132 = -6*z + 25*s + 35*s - 55*s for z. 22 Solve -2 = -15*f + 14*f - 10*q, -f - 2207*q + 2202*q = -2 for f. 2 Solve 32 = 128*j - 150*j - 0*r - 2*r, 0 = j + 2*r + 11
{ "pile_set_name": "DM Mathematics" }
- 510. Determine g(65). -120 Let m(c) = 4*c**2 - 7*c + 62. Calculate m(8). 262 Let k(f) = -5*f - 110. Give k(-25). 15 Let j(d) = d**3 - 27*d**2 + 11*d + 889. Give j(25). -86 Let z(f) = -229*f**2 + 5728*f - 75. What is z(25)? 0 Let q(f) = -237*f + 11133. What is q(47)? -6 Let b(x) = -878*x + 6178. Determine b(7). 32 Let j(v) = -18*v - 121. Determine j(-7). 5 Let u(g) = -4*g**2 + 48*g - 400. Determine u(14). -512 Let f(h) = -35*h - 2246. Determine f(-64). -6 Let t(u) = 131*u**2 + 1963*u - 21. What is t(-15)? 9 Let z(i) = i**3 - 47*i**2 + 137*i - 23. What is z(3)? -8 Let p(i) = 62*i - 1377. Give p(21). -75 Let n(d) = -d**3 + 24*d**2 - 123*d + 29. Give n(17). -39 Let d(w) = w**3 + w**2 - 57*w + 24. What is d(7)? 17 Let a(i) = -i**2 + 51*i - 527. What is a(39)? -59 Let z(n) = -26*n**2 + 161*n - 9. Give z(6). 21 Let a(s) = -7*s**2 - 31*s + 172. Determine a(8). -524 Let p(c) = 155*c - 88. What is p(3)? 377 Let k(m) = -525*m - 4333. What is k(-9)? 392 Let r(c) = -11*c**3 + 9*c**2 + 21*c + 28. Give r(-2). 110 Let p(s) = 77*s + 4854. Give p(-63). 3 Let o(x) = x**3 - 14*x**2 + 17*x + 20. Give o(8). -228 Let b(o) = -13*o + 77. Give b(6). -1 Let x(s) = -s**3 + 9*s**2 + 73*s - 657. Calculate x(9). 0 Let u(t) = -t**2 + 49*t + 97. Determine u(-4). -115 Let s(m) = -m**2 + 82*m + 599. Give s(89). -24 Let n(c) = -2*c**2 - 27*c - 126. Calculate n(-10). -56 Let u(w) = 4*w**3 + 166*w**2 + 84*w + 90. Give u(-41). 8 Let t(h) = -2*h**3 - 5*h**2 + 7*h - 5. Calculate t(2). -27 Let r(m) = -23*m - 677. What is r(-49)? 450 Let d(v) = 62*v - 302. Give d(5). 8 Let d(o) = -9762*o + 48807. Give d(5). -3 Let p(b) = -318*b**3 + 3*b**2 - 5*b + 3. Calculate p(1). -317 Let f(z) = 82*z - 270. Determine f(7). 304 Let z(m) = -1037*m - 5173. Calculate z(-5). 12 Let a(j) = -3*j**2 - 143*j + 659. Determine a(-52). -17 Let x(r) = -5*r**2 + 614*r + 3335. Give x(128). 7 Let l(d) = -19348*d + 96742. Give l(5). 2 Let z(a) = -a + 53. Determine z(-18). 71 Let d(h) = 28*h + 161. Give d(-6). -7 Let a(c) = -c**3 + 6*c**2 - 4*c + 34. Calculate a(6). 10 Let t(c) = -c**2 - 7*c + 373. Calculate t(16). 5 Let o(p) = -2*p**3 - 21*p**2 - 53*p + 8. Calculate o(-5). -2 Let v(l) = -2*l**3 + 12*l**2 + 331*l - 1962. Determine v(6). 24 Let z(f) = 247*f - 5805. Determine z(23). -124 Let p(j) = -j**2 - 6239*j + 56236. Calculate p(9). 4 Let j(t) = 282*t**2 + 53*t - 54. What is j(1)? 281 Let f(k) = k**2 - 34*k - 105. Determine f(-3). 6 Let k(q) = 20*q**2 + 32*q + 22. What is k(-1)? 10 Let r(y) = y**2 + 44*y + 217. What is r(-6)? -11 Let k(q) = q**3 + 37*q**2 - 167*q - 83. Calculate k(-41). 40 Let z(p) = 7*p**2 + 433*p + 1195. Determine z(-59). 15 Let c(n) = 7*n + 27. Calculate c(-11). -50 Let k(l) = -9*l**2 - 135*l + 6. What is k(-15)? 6 Let c(t) = -t**3 - 15*t**2 - 30*t + 2. Give c(-9). -214 Let p(q) = -23*q + 404. Determine p(52). -792 Let y(t) = t**3 - 39*t**2 - 136*t + 6610. Determine y(38). -2 Let p(a) = -56*a - 714. Give p(-13). 14 Let g(p) = -2*p**3 + 622*p**2 + 1253*p - 323. Calculate g(313). -10 Let m(t) = 7*t**3 - 91*t**2 + 179*t + 4. What is m(2)? 54 Let b(h) = 14*h + 186. Calculate b(-14). -10 Let w(z) = -z**2 - 1608*z + 88029. What is w(53)? -4 Let l(g) = 40*g + 201. Calculate l(-6). -39 Let b(q) = q**3 + q**2 - 5. Calculate b(-3). -23 Let d(x) = -49*x + 14. Determine d(1). -35 Let q(i) = -2*i**2 + 66*i + 175. Determine q(36). -41 Let h(n) = -146*n - 8168. What is h(-56)? 8 Let x(y) = y**3 + 5*y**2 + 2*y - 11. Determine x(-4). -3 Let q(d) = 870*d - 3317. Give q(4). 163 Let s(p) = -p**2 + 35*p - 318. Calculate s(7). -122 Let r(u) = -u**3 + 73*u**2 - 269*u - 18. Determine r(4). 10 Let d(z) = 13*z - 294. Calculate d(27). 57 Let b(q) = -2*q**3 - 23*q**2 + 12*q + 62. Give b(-13). 413 Let w(j) = -22*j - 717. Give w(-25). -167 Let r(k) = -45*k - 523. Calculate r(-5). -298 Let n(h) = 11937*h - 83554. Calculate n(7). 5 Let v(t) = t**2 - 32*t + 12. Determine v(37). 197 Let g(n) = -4*n**2 - 28*n + 7. What is g(-2)? 47 Let j(a) = 2*a**3 + 107*a**2 - 49*a + 95. What is j(-54)? -175 Let d(x) = -13*x**2 - 7*x + 7. Give d(-1). 1 Let d(k) = -126*k + 5163. What is d(41)? -3 Let y(r) = r**2 - 75*r - 42. Give y(0). -42 Let y(u) = -6517*u - 26067. What is y(-4)? 1 Let i(w) = -9*w**3 + 18*w**2 + 7*w - 11. Determine i(2). 3 Let l(s) = s**3 - 66*s**2 - 148*s + 832. Determine l(68). 16 Let n(q) = q**2 + 3722*q - 26101. Give n(7). 2 Let z(k) = -38*k - 159. Calculate z(0). -159 Let c(r) = 2*r**3 - 18*r**2 + 30*r - 199. Give c(8). -87 Let s(o) = o**3 + 27*o**2 + 59*o + 1602. Give s(-27). 9 Let j(g) = 211*g + 1296. Give j(-6). 30 Let g(h) = -h**3 - 2*h**2 + 27*h - 8. Calculate g(4). 4 Let z(u) = 4*u**3 + 11*u**2 - 65*u - 2. Determine z(5). 448 Let i(r) = 18*r**2 + 40*r + 1. Determine i(-3). 43 Let s(z) = -5*z**3 + 69*z**2 - 18*z + 450. Calculate s(14). 2 Let x(u) = u**3 - 2*u**2 - 37*u + 8. Calculate x(7). -6 Let i(r) = 3*r**2 + 191*r + 488. What is i(-61)? 0 Let a(p) = -p - 50. Determine a(7). -57 Let p(r) = -3*r**3 - 3*r**2 + 4*r + 5. Determine p(3). -91 Let p(b) = -151*b - 553. What is p(-4)? 51 Let f(b) = b**2 + 6*b - 76. Determine f(12). 140 Let p(h) = 114*h + 8. Determine p(0). 8 Let s(g) = g**3 - 7*g**2 - 18*g + 100. What is s(6)? -44 Let m(r) = -r**2 - 33*r + 93. Determine m(-34). 59 Let c(n) = n**3 + 22*n**2 + 24*n - 20. Give c(-21). -83 Let o(h) = 4*h**3 + 249*h**2 + 537*h - 166. Give o(-60). 14 Let i(c) = -c**3 - 35*c**2 + 162*c + 237. What is i(-39)? 3 Let a(k) = 3*k**3 - 3*k**2 - 20*k + 63. Determine a(5). 263 Let h(c) = -c**3 - 29*c**2 - 81*c + 30. What is h(-26)? 108 Let k(v) = -v**3 - 42*v**2 + 294*v - 19. Determine k(-48). -307 Let j(c) = -66*c + 3161. Calculate j(48). -7 Let t(i) = -i**2 + 9*i + 101. Calculate t(21). -151 Let m(b) = -139*b + 247. What is m(2)? -31 Let q(m) = 678*m + 13573. Calculate q(-20). 13 Let h(y) = 81*y - 976. What is h(12)? -4 Let z(o) = -42*o + 51. Give z(2). -33 Let z(s) = -s**3 + 28*s**2 + 117*s + 1589. Calculate z(33). 5 Let d(p) = -2*p**2 + 20*p - 44. Determine d(8). -12 Let g(q) = q**3 + q**2 - 258*q - 756. Give g(-3). 0 Let c(d) = d**2 + 44*d + 152. Determine c(-26). -316 Let w(k) = -k**3 - 33*k**2 - 47*k - 48. Calculate w(-32). 432 Let s(a) = 5*a**2 + 462*a + 628. Calculate s(-91). -9 Let j(k) = -9*k**3 - 4*k**2 + 2*k + 6. Give j(3). -267 Let c(b) = -165*b - 676. Calculate c(-4). -16 Let t(p) = 852*p + 3405. Calculate t(-4). -3 Let u(j) = 3*j**2 + 13*j - 230. Calculate u(7). 8 Let s(f) = 2*f**2 - 976*f + 28330. Give s(31). -4 Let j(f) = -2308*f**2 - 11540*f - 1. What is j(-5)? -1 Let f(h) = 2*h**2 - 5*h - 222. Determine f(-11). 75 Let s(r) = 3*r**2 + 31*r + 24. Determine s(-7). -46 Let m(a) = -174*a**3 - 4*a**2 + 2*a + 6. Give m(-1). 174 Let s(x) = -31*x**2 - 189*x - 20. Give s(-6). -2 Let o(f) = f**3 - 6*f**2 - 84*f + 498. Determine o(6). -6 Let p(c) = 249*c**2 + 284*c - 285. Determine p(1). 248 Let m(n) = -n**2 + 119*n - 2742. Determine m(88). -14 Let i(b) = -1739*b + 17378. What is i(10)? -12 Let x(f) = 34*f**3 - 9*f**2 - 13*f - 3. What is x(-1)? -33 Let z(f) = -2*f**3 + 104*f**2 - 4*f + 177. What is z(52)? -31 Let b(c) = -c**2 + 36*c + 76. Determine b(-2). 0 Let p(u) = -u**3 - 18*u**2 - 8*u - 184. Calculate p(-18). -40 Let s(v) = v**3 - 48*v**2 + v - 115. What is s(48)? -67 Let s(r) = 135*r + 8. Calculate s(3). 413 Let m(z) = -42*z**2 - 8*z - 17. What is m(-2)? -169 Let j(f) = -f**3 + 25*f**2 - 48*f - 57. Determine j(23). -103 Let k(r) = -2*r - 270. What is k(-6)? -258 Let j(f) = 26*f + 155. Calculate j(-4). 51 Let p(r) = -r**3 + 12*r**2 - 39*r + 53. Calculate p(9). -55 Let m(h) = -h**3 - 12*h**2 - 50*h - 655. Give m(-12). -55 Let x(d) = -d**3 - 10*d**2 - 36*d - 224. Determine x(-9). 19 Let m(h) = 3*h**3 - 300*h**2 - 302*h - 98. What is m(101)? 3 Let l(w) = -72*w + 2230. What is l(31)? -2 Let i(z) = 43*z + 529. Give i(-8). 185 Let s(o) = -113*o - 2385. Determine s(-21). -12 Let v(s) = -159*s**2 + 11*s + 4. Determine v(-2). -654 Let c(z) = -z**3 + 63*z**2 + 341*z - 142. What is c(68)? -74 Let k(x) = 5*x**2 - 295*x - 7. Calculate k(59). -7 Let a(d) = 2646*d + 2604. Determine a(-1). -42 Let t(r) = 2*r**2 - 98*r - 3497. What is t(-24)? 7 Let n(c) = -2*c**2 + 48*c - 76. What is n(25)? -126 Let u(w) = 3*w**2 + 5*w + 4. Give u(-7). 116 Let r(w) = -w**2 + 24*w - 143. Calculate r(1
{ "pile_set_name": "DM Mathematics" }
et a = -855 + 2524. Find the second derivative of -819*o**4 - 33*o + 2*o**2 + a*o**4 - 3 - 758*o**4 wrt o. 1104*o**2 + 4 Let x be 10/(-3)*18/(-12). Suppose -148 + 58 = -15*b. What is the second derivative of -v**4 + b*v**x + 35*v + v**4 - 48*v wrt v? 120*v**3 Suppose 0 = -3*z + 4*s + 22, z - 9 + 3 = 2*s. What is the third derivative of 109*l**5 - 17*l**2 - 10*l - z*l**2 - 26*l**5 + 23*l**2 wrt l? 4980*l**2 Let q(u) be the third derivative of -1 - 31/3*u**3 + 14*u**2 + 0*u + 29/6*u**4. What is the derivative of q(i) wrt i? 116 Find the second derivative of 6033*w**3 - 196*w + 197*w - 5521 - 3133 wrt w. 36198*w Let t(f) be the third derivative of f**6/6 - f**5/12 + f**4/12 + 799*f**3/2 - 8*f**2 - 2*f - 19. What is the derivative of t(c) wrt c? 60*c**2 - 10*c + 2 Let h(c) be the third derivative of 17*c**5/60 + 9*c**4/2 - 6385*c**3/6 - 7337*c**2. Differentiate h(t) wrt t. 34*t + 108 Let u(g) be the first derivative of g**5/8 + g**4/12 - 18*g**3 - 42. Let n(r) be the third derivative of u(r). Find the first derivative of n(d) wrt d. 15 Let b(n) = -4501*n**4 - 2*n**3 - 94*n + 3672. Let c(f) = 9002*f**4 + 5*f**3 + 235*f - 7344. Let k(d) = -10*b(d) - 4*c(d). Differentiate k(x) wrt x. 36008*x**3 Let n(h) be the third derivative of 383*h**7/21 + 4669*h**3/6 - 5481*h**2. Differentiate n(y) with respect to y. 15320*y**3 Let o(b) = 64*b**3 + 6*b**2 - b - 276. Let l(t) = 62*t**3 + 8*t**2 - 274. Let y(r) = 3*l(r) - 4*o(r). Find the second derivative of y(n) wrt n. -420*n Let w(n) be the first derivative of -49/3*n**3 - 3/2*n**2 - 27 + 2*n. Find the second derivative of w(m) wrt m. -98 Let i(u) be the first derivative of 0*u**4 - u**5 - 23/3*u**3 + 186 + 0*u**2 + 298*u. What is the derivative of i(a) wrt a? -20*a**3 - 46*a Let d(k) be the second derivative of -577*k**5/20 + 289*k**3/2 + 128*k - 2. What is the second derivative of d(a) wrt a? -3462*a Let n(g) be the first derivative of -60*g**2 + 0*g**3 + 85/2*g**4 + g + 151. What is the second derivative of n(m) wrt m? 1020*m Suppose -7*q - q + 32 = 0. What is the second derivative of -8*h - 12*h**5 - 6 + 123*h**5 + 5*h + q*h wrt h? 2220*h**3 Suppose 39 = -q - 19. Let c = q + 62. Differentiate 5*p - 50 - 5*p + 13*p**c + 57 wrt p. 52*p**3 What is the first derivative of 389*p + 5 - 972*p - 86 - 1347*p - 749*p wrt p? -2679 Suppose -j + 27 = -z + 2*z, 2*z + 81 = 3*j. Let x = j - 22. What is the third derivative of 32*g**x - g**2 + 19*g**2 - 17*g**5 wrt g? 900*g**2 Let q(k) = -17593*k + 1061. Let g(z) = 26390*z - 1556. Let m(b) = 5*g(b) + 7*q(b). Differentiate m(c) wrt c. 8799 Let b be 18/4 - (-33)/(-22)*-1. What is the third derivative of 32*p**4 + 60*p**2 - 3*p**3 + 96*p**2 - 14*p**b - 32*p**4 - p**3 wrt p? -1680*p**3 - 24 Let s = -263 - -263. Let a(z) be the third derivative of 0*z + 19/60*z**5 + 3/8*z**4 - 22*z**2 + 0*z**3 + s. Find the second derivative of a(n) wrt n. 38 Let l be 1 + (6 - 6) + 2*-10. Let d = l + 24. Differentiate -42 + 24 + 10*o + d*o wrt o. 15 Suppose -2*c = 5*w - 15, c = 4*c + 15. Suppose -5*v = w*g + 10, -4*g - 10 = 3*v - 0*g. Find the first derivative of 3*k**v + 1 - 2*k + 1 - 10 wrt k. 6*k - 2 Let b(q) = 14679*q**2 - 33646. Let c(s) = -17615*s**2 + 40375. Let i(v) = 17*b(v) + 14*c(v). Differentiate i(t) with respect to t. 5866*t Let b(l) = 6646*l**3 + 2132*l**2 + 50*l + 21. Let r(s) = 1329*s**3 + 426*s**2 + 9*s + 4. Let f(i) = 2*b(i) - 11*r(i). Find the third derivative of f(w) wrt w. -7962 What is the derivative of 314*a - 1138*a**2 + 938*a**2 - 312*a - 2396 wrt a? -400*a + 2 Let i(z) be the first derivative of z**3 + 0*z**5 + 0*z - 1/4*z**4 - 11/2*z**2 + 7/6*z**6 + 37. What is the third derivative of i(g) wrt g? 420*g**2 - 6 What is the third derivative of 77*x**2 - 528*x**2 - 142*x**2 - 1311*x**3 + 98*x**2 - 838*x**2 wrt x? -7866 What is the second derivative of 7*h**5 - 1 + 260*h - 2*h**5 - 2 - 16*h**3 - 110*h wrt h? 100*h**3 - 96*h What is the second derivative of -3*c + 72178*c**4 + 4*c - 2*c**2 + 1869 - 71724*c**4 + 4*c**5 wrt c? 80*c**3 + 5448*c**2 - 4 Let z(m) be the second derivative of 0*m**2 + 0 + 0*m**5 + 10/7*m**8 - 65/12*m**4 + 43*m + 0*m**3 + 0*m**7 + 0*m**6. What is the third derivative of z(x) wrt x? 9600*x**3 Find the third derivative of 2*w**2 + 301*w + 139 - 1008*w**5 - 584*w + 283*w wrt w. -60480*w**2 Let x(l) = 3140*l**2 + 1428*l + 3. Let m(c) = 9390*c**2 + 4282*c + 8. Let i(z) = -3*m(z) + 8*x(z). Find the second derivative of i(q) wrt q. -6100 Suppose -4*k + 294 - 286 = 0. What is the third derivative of 4*g**6 + 2*g**3 + 12*g**4 - 17*g**4 - 2*g**3 - 2*g**k wrt g? 480*g**3 - 120*g Let v(o) = -880*o + 1513. Let q(i) = -878*i + 1512. Let a(t) = -4*q(t) + 3*v(t). Differentiate a(b) wrt b. 872 Find the third derivative of -1208*d**2 - 216*d**2 - 29*d**2 + 160*d**2 + 538*d**3 wrt d. 3228 Let x be 6/10*(6 - 11) - -6. Suppose -x*w = 4*i - 22, -3*i + i = -4*w. Find the third derivative of 10*z**2 + w*z**3 - 6*z**3 - 12*z**3 - 6*z**3 wrt z. -132 Let u(q) = -1322*q**2 + 8*q - 913. Let n(g) = 5286*g**2 - 36*g + 3654. Let r(p) = 2*n(p) + 9*u(p). What is the derivative of r(f) wrt f? -2652*f Let u(h) be the second derivative of -347*h**4/3 + 61*h**3/6 - 194*h. Find the second derivative of u(b) wrt b. -2776 Let h be (-5 + 18)*12/52. Let g(w) be the second derivative of -18*w + 10/3*w**4 + 0*w**2 + 0 - 19/6*w**h. What is the second derivative of g(m) wrt m? 80 Let z(b) be the first derivative of 7712*b**5/5 - 6252*b - 7408. Differentiate z(g) with respect to g. 30848*g**3 Let l = -31 + 231. Suppose -4*h - 192 = -8*h + 4*y, 0 = 4*h - 2*y - l. Find the third derivative of -9*n**4 - 9*n**2 + h*n**2 + n**2 wrt n. -216*n Let s(m) be the first derivative of 5*m**2/2 + 58*m - 72. Let o(z) = 2*z + 19. Let g(t) = -14*o(t) + 4*s(t). Differentiate g(w) wrt w. -8 Let n = -198 + 357. What is the third derivative of 16*b**5 + n*b**2 + 10*b - 5*b - 5*b + 139*b**5 wrt b? 9300*b**2 Let b(u) = -1002*u**3 + 6*u**2 - 3*u + 689. Let a(z) = -z**3 + 2*z**2 - z - 2. Let l(q) = 3*a(q) - b(q). Differentiate l(t) with respect to t. 2997*t**2 Let b(x) = -1161*x**2 - 185*x + 4. Let c(h) = 1163*h**2 + 182*h - 5. Let t(u) = -6*b(u) - 5*c(u). What is the second derivative of t(z) wrt z? 2302 Let f(j) be the first derivative of 2899*j**5/5 + 1545*j**2 - 79. What is the second derivative of f(q) wrt q? 34788*q**2 Let o(y) = -y**2 + y + 1. Let n(f) = -29*f + 14*f**5 - 22*f**5 - 6*f**2 + 4 + 9*f**5. Let m(g) = n(g) - 3*o(g). Find the second derivative of m(u) wrt u. 20*u**3 - 6 Suppose 3*f - i - 2*i = 18, -3*i = -6. Find the first derivative of 34*s - 74 + 131 + f*s wrt s. 42 Let s(r) = -7*r + 9. Let t be ((-21)/(-7) - 8) + (0 - -6). Let i(p) = -p. Let h = 2 - -1. Let x(j) = h*i(j) + t*s(j). Differentiate x(f) with respect to f. -10 Let i(a) = 1058*a**3 - 2005*a - 5. Let u(x) = -3174*x**3 + 6013*x + 16. Let q(c) = 16*i(c) + 5*u(c). What is the second derivative of q(z) wrt z? 6348*z Let q(h) = 40*h**3 + 7*h**2 + 12*h - 426. Let k(f) = -19*f**3 - 4*f**2 - 7*f + 213. Let j(i) = -7*k(i) - 4*q(i). What is the derivative of j(u) wrt u? -81*u**2 + 1 Let q(r) be the second derivative of -1681*r**5/20 + 815*r**4/12 + 268*r - 1. What is the third derivative of q(x) wrt x? -10086 Let l(m) be the third derivative of m**8/336 + 9*m**5/20 + 181*m**4/24 - m**3/3 + 925*m**2. What is the second derivative of l(t) wrt t? 20*t**3 + 54 Let j = -765 - -769. What is the second derivative of -8*h**j + 0*h**4 - 23*h - 103*h + 24*h**4 - 4*h**4 wrt h? 144*h**2 Let u be (19/38)/((-2)/(-4)). Let y be (u/(-3))/((-6)/90). What is the second derivative of 4*g + 29*g**y + 13*g - 8*g**5 - 9*g**5 wrt g? 240*g**3 Let v(c) be the third derivative of 5861*c**9/504 + c**5/60 + 5*c**4/4 + c**3/2 - 15*c**2 + 44*c + 3. What is the third derivative of v(j) wrt j? 703320*j**3 Find the third derivative of -3036*s**2 + 47428*s**3 + 446*s**4 - 47429*s**3 + 238*s**4 wrt s. 16416*s - 6 Let i(b) be the second derivative of -45*b**2 - 90*b + 0*b**3 + 0 + 1/12*b**4. What is the derivative of i(x) wrt x? 2*x Let v(x) = 103*x**4 + 6*x**3 + 9*x**2 - 3645. Let f(u) = 310*u**4 + 20*u**3 + 29*u**2 - 10933. Let r(s) = -3*f(s) + 10*v(s). Differentiate r(k) wrt k. 400*k**3 + 6*k Let o be (-8)/14 + (26752/112)/19. Let q(u) = u**2 - u - 3. Let r be q(-3). Differenti
{ "pile_set_name": "DM Mathematics" }
- f for l. 0 Let m be 16/6*39/26. Solve -2*x = 3*s + 1 + m, 5*x + 4*s = 5 for x. 5 Let t(n) = -n**3 - 3*n**2 + 4*n - 1. Let m be t(-4). Let s(j) = j. Let k be s(1). Let o be 2 - k*(1 + m). Solve o*y - 2*r = -0*y - 14, 2*r = -5*y - 21 for y. -5 Let a = 47 + -18. Let p = -29 + a. Solve p*m + m + 1 = -2*g, 7 = -2*g + m for g. -2 Let o(r) = -4*r**3 - 2*r**2 + r. Let p(n) = -4*n**3 - 2*n**2 + n. Let g(x) = -5*o(x) + 4*p(x). Let k be g(1). Solve 4*s - v - 25 = -0*v, k = -s - 2*v for s. 5 Let v be ((-10)/(-6))/((-5)/(-15)). Suppose 0 = -c - 3 + v. Suppose -c*a + 4*a = 90. Solve -4*x + 2*w = 30, 4*x + a = -x + 4*w for x. -5 Let l = 38 + -25. Suppose 2*r + 1 = 5. Let u = l - r. Solve s + 4*y + u = 0, -4*s + y + 2 = 12 for s. -3 Let a be (-10)/14 - 6/21. Let p be (-4)/4 + (-9)/a. Let b be (-1 - -4 - -6) + -3. Solve l - g = 7, 2*g - p = b*g for l. 5 Suppose -3*a + 2 = -7. Solve -2*w + 2 = 5*x, -5*x + 0*w = -a*w - 22 for x. 2 Suppose -3*f + 24 = -f. Let r = -7 + f. Solve -2*y + 0*t - 16 = 4*t, 0 = -4*y + r*t + 33 for y. 2 Let b(s) = -s**2 - 7. Let l be b(0). Let p be l*(-2 + (-11)/(-7)). Solve -p*t = 3*o + 2*t - 1, -4*o + 5 = 3*t for o. 2 Suppose -7*m = -5*m - 4. Suppose -4*w + 6 = -2. Solve m*q + 4*p = 0, q + w*p = p for q. 0 Let u = -128 - -131. Solve -u*n - 3*y = -24, 0*n - 2*y + 13 = n for n. 3 Let q = 11 + -1. Suppose 2 = 3*d - q. Let u(w) = w + 6. Let r be u(0). Solve 2*n = -2*f - r - 4, d*f + 16 = 0 for n. -1 Let z be (12/(-10))/(1/(-5)). Let t be (4/z)/((-2)/(-15)). Let b = 6 - 3. Solve -3*g = -b, 2*s - g + t = -2*s for s. -1 Let z be 1*(2 + 2 + -2). Suppose 8 = -z*h, 5*h + 10 = -4*l + 2*l. Suppose -16 = r - l*r. Solve 0 = -5*q + r*n - 9, 5*q - 2 = -4*n - 3 for q. -1 Suppose y + 120 = 5*z, 4*y = 4*z + 3*y - 95. Solve 3*h + p + p + z = 0, p + 20 = -3*h for h. -5 Let g = 15 + -23. Let r be -3*-1*g/(-6). Solve -5*h - r*f + 17 = 0, 3*h - 5*f - 4 + 16 = 0 for h. 1 Let d be 175 - ((0 - 0) + 0). Suppose 0 = 5*x - y - 175, 5*x + 0*y = 2*y + d. Solve -2*q - 20 = 2*a, -a - 4*q - x = 2*a for a. -5 Suppose 0 = 6*g - 3*g - 9. Solve d = h - 1, g*h - 7 = d + 4 for h. 5 Suppose 2*h - 55 = 7*h. Let q = -9 - h. Solve -2 = -q*w - 4*x - 20, 4*w - 4*x - 12 = 0 for w. -1 Suppose 8 + 22 = 5*k. Suppose 2*l + 2*l - 2*b + 22 = 0, 0 = 4*l + b + 7. Let r = k + l. Solve -13 = -r*t - 5*c, c = 5*t + 5*c for t. -4 Let b be 19/((4 + -1)/3). Solve 2*u = -2*w + 3*u + 9, 3*u + b = 4*w for w. 4 Let q(r) = -r**2 + 3*r. Let w be q(2). Solve 0 = 2*a + k + 10, -5*a = w*k - 4 + 28 for a. -4 Suppose 5*v + s - 30 = -3*s, -v + s = -6. Let l be 1/2 - 2/4. Solve l = 4*p + o - v, 3*o = -p + 3*p + 4 for p. 1 Suppose -6*r = -3*r - 30. Suppose -19 - 14 = -4*b - 5*c, -r = -2*c. Solve 5*i = 17 - b, -4 = h - i for h. -1 Let u(j) be the third derivative of j**6/120 - 3*j**5/20 + 5*j**4/12 - j**3/6 + 2*j**2. Let p be u(8). Solve 3*l + 3*n = p, 4*n - 22 + 2 = 3*l for l. 0 Suppose 0 = 2*w - 5*w + 21. Suppose 3 = 4*l + w. Let n be 0 + l/((-1)/3). Solve n*a = 3*c + 1 - 4, -3*a - 4*c - 24 = 0 for a. -4 Let l = 55 + -51. Let o(w) = -w. Let k be o(0). Let g = 0 - k. Solve -4*y - 2*c + 16 = 0, 3*c - 18 = -l*y - g*c for y. 3 Let m = -16 + 20. Solve 0 = 5*t + m*c + 16, -t = -4*t + 3*c - 15 for t. -4 Suppose -5*d + 20 = -15. Suppose -4*o - d = 1, 5*o = 5*f - 15. Let r be (-1)/2*(f - 51). Solve 4*l + r = 5*g, 4*l + 15 = 4*g - g for g. 5 Let k(r) = 3*r - 12. Let y be k(6). Solve -5*t = y*h - 3*h + 25, -h - 13 = 4*t for t. -2 Let u(n) = 1. Let w(l) = l - 8. Let y(c) = 2*u(c) - w(c). Let t be y(8). Let h be 85/15 + t/(-3). Solve 4*r = 3*z - 5, 3*r = 5*z + h*r + 9 for z. -1 Let w(o) = o**3 + 7*o**2 - 8*o + 6. Let c be w(-8). Let x be 2 - (c/2 - 1). Solve 3*g = -5*v + 21, x*g + 2*g = -4*v + 16 for v. 3 Suppose -5*t + t + o = -13, 4*t = 2*o + 10. Suppose 3*p - t = 2*p. Solve -5*q = -3*z - 25, 3*z - 26 = -p*q - 6 for q. 5 Let p(o) = 2*o + 4. Let c(m) = -m - 5. Let y(w) = -3*c(w) - 4*p(w). Let q be y(-1). Solve -3*b - g - 7 = -2, q = -b + 2*g for b. -2 Let s(p) = 0*p - 3*p**2 + p**3 + 8 - p - 3*p**2. Let l be (18/(-10))/(6/(-20)). Let j be s(l). Solve -5*f + 4 = -2*b - 1, 2 = j*f for b. 0 Let j(g) = g**2 - g - 2. Let u be j(-2). Solve -4*z + 12 = -4*c, u*z + 0*c - 2 = -c for z. 1 Let o = -7 - -10. Suppose d = o*d. Solve 3*g - 4*k - 15 = d, 5*g + k - 2*k - 8 = 0 for g. 1 Suppose -11 = j - 26. Solve 0 = -c + 4*r + 5, 5*c - 3*r - j = 2*c for c. 5 Let t be 2/4 + 21/(-6). Let k = t + 5. Suppose -k*n - 20 = -4*n. Solve -5*x + m + n = 5*m, -4*x + 8 = -2*m for x. 2 Suppose 0 = -3*b - 17 - 4. Let v(d) = d**2 + 7*d + 2. Let z be v(b). Solve 4*q - 4 = 4*a, -5*q + z*a + 4 = -4 for q. 2 Suppose -5*o = -2*x - 61, 4*o - 2*x = -0*x + 50. Let a = o + -7. Suppose 3*y + a = 5*y. Solve 18 = 2*g - 2*j, g + y*j + 7 - 1 = 0 for g. 4 Let b be (-1 - 3)/(2 + -6 + 2). Solve b = n + 3*u - 9, 0 = n - 5*u + 29 for n. -4 Let n = -37 - -15. Let t = 24 + n. Solve 4*a = -z + 7, 2*z + t*a + 7 = 5*z for z. 3 Let w(j) = j - 2. Let u be w(-6). Let z be (-2 - u)*(-2)/(-6). Let x be (-3)/(((-3)/4)/3). Solve k + 4 - x = -v, -z*k - 4*v + 26 = 0 for k. 3 Suppose -4*m - 60 = -9*m. Let l be m - (1 + -4)/1. Solve 4*i + 3*v = -i + 5, l = 5*i + v for i. 4 Let p = -7 - 1. Let s(b) = b**3 + 7*b**2 - 9*b - 8. Let x be s(p). Solve -5*r - 2 = 3*v + 9, 2*r + 4*v - 4 = x for r. -4 Suppose 0 = -0*p + 2*p - 6. Suppose -y + 8 = p*y. Let o(s) = -s + 8. Let g be o(6). Solve 3*a + 9 = -r, -4*r = -y*a + 6 + g for a. -2 Suppose -5*v - 4*n = -1349, 2*n + 61 + 1039 = 4*v. Let u be v/6 + 1/2. Solve 4*r + 2*k + 12 = 0, -u = 4*r - 3*k - 14 for r. -5 Let i = -4 + 31. Let h(b) = -b**2 + 9*b + 5. Let a be h(9). Suppose 3*n - 2*n - 10 = 5*z, 10 = -3*n - a*z. Solve 5*y + r + 1 = n, -8 = -3*y + 4*r - i for y. -1 Suppose -2*p = -p + 1. Let k be (2 + 1*-2)/2. Let y be 0 - 2*p - k. Solve -2*q + 11 = 4*a - a, 0 = -a - y*q + 9 for a. 1 Suppose -5*s + r + 2 + 20 = 0, 0 = -4*s + 3*r + 11. Suppose -s = -k - 4. Solve a + 2*d = d - k, 3*d = 0 for a. -1 Suppose -f = -4*f - 6. Let a be 4 - ((2 - 0) + f). Solve 2*z + 0*i + a*i + 8 = 0, 0 = -i - 1 for z. -2 Let v(l) = -l**3 - 4*l**2 + 4*l. Let f be v(-5). Solve 2*d + 3*c - 22 = -3*d, -3*d - 14 = -f*c for d. 2 Let z be ((-2)/4)/((-1)/(-6)). Let o be -2 + (z/1 - -5). Solve 0 = q + 2*q - 6, o = -3*s - 5*q + 4 for s. -2 Suppose -49 = -5*z + 4*l, 0 = l - 1 - 3. Suppose -5*h = -z + 3. Solve h*d - 14 = 3*j, -2*d - 3*j - 10 = -0*j for d. 1 Let f = 12 + -26. Let k = f - -19. Suppose 0 + 1 = -r, 5*m + 3*r - 17 = 0. Solve -m*j = -k*n - 18 + 6, -2*n = -5*j + 15 for n. 0 Let m(o) = o**3 + 8*o**2 - 9*o. Let a be m(-9). Let r be 0 + a + 1 + -51. Let l = r + 85. Solve 5*i + 3*u + 2*u = l, 10 = -5*i + 4*u for i. 2 Let b be ((-10)/(-6))/((-2)/6). Let i(r) = -5 + 0 + 7*r**2 + 12*r**2 - 18*r**2 + 4*r. Let j be i(b). Solve j*n + 5*n - 4*z = -24, 0 = -5*n + z - 21 for n. -4 Let m(z) = z**2 + 13*z - 9. Let p be m(-14). Suppose -6*o + o + 20 = 0. Solve -w - c = -2, -o*w - p*c + 4 = -w for w. 3 Let y(g) = g**2 - g - 1. Let n be y(0). Let q = 13 + n. Let a = q + -7. Solve 2*z = -i - 2*z - 15, 5*z + 30 = -a*i for i. -3 Let u be 2 + (2 + 2)*(-6)/(-8). Solve 4*v - u*v + z = 0, -5*v - 2*z + 35 = 0 for v. 5 Let o(k) = -k + 2. Let s be o(-2). Let p(h) = h**3 - 11*h**2 + 6*h - 61. Let c be p(11). Solve 24 = d + c*i, 2*d - i + 3 = s*d for d. -1 Let m(r) = -r**3 - 6*r**2 - 8*r - 2. Let j be m(-4). Let q be j/(-5) + 207/45. Solve -5*x - 35 = 4*t, -4*t - 4 = -q*x + 1 for t. -5 Let v(r) = r**2 + 3*r + 3. Let x be v(-3). Suppose -x*u = -11 - 1. Solve 3*t - 4*g + 18 = 0, 2*g - 5*g = -u*t - 17 for t. -2 Suppose 3*x + 23 = 2. Let z = 10 + x. Solve z*u - 9 = 0, 4*u - 6*u = -5*h - 16 for h. -2 Suppose 18 = 4*t - 18. Let j = t + -9. Solve -q + j*q - 4*f = -14, -5*q - f = -13 for q. 2 Let k = -9 - -12. Solve 2*f + 10 = 0, -3*f - 31 = -k*h + 2*f for h. 2 Let j(n) = n**3 - 6*n + 3. Let u(i) = -i**2. Let o(a) = j(a) + 5*u(a). Let x be o(6). Solve m - 7 = -x*q, 2*m = -m - 4*q + 16 for m. 4 Let z be (-11)/9 - (-6)/27. Let h be (-2 - (z - -1)) + 2. Suppose -l + 8 + 0 = 0. Solve -3*y - 4*q = -y + l, -4*q = h for y. -4 Let k(w) = w**2 - 4*w + 1. Suppose 4 + 4 = 2*p - s, 0 = -p - 4*s - 5. Suppose 0 = z - p*z + 8. Let c be k(z). Solve 2*x + g - 2 + 3 = 0, -g = -3*x + c for x. 0 Suppose 0 = -2*h + 12 - 6. Sol
{ "pile_set_name": "DM Mathematics" }
s positive. l**(29681/44) Simplify (((l**(-2/5))**36/((l*l*l**(-1/11)*l*l)/(l*l*l*l**(3/2)*l)))**(-2/95))**(2/117) assuming l is positive. l**(2818/611325) Simplify ((n/(n*n**(7/2))*n*n*n**(-15))/((n/(n**24/n))/(n**15/n)))**(1/36) assuming n is positive. n**(13/24) Simplify (p**(5/3)/((p*p/p**(-1/20))/p)*(p**(1/7))**(9/7))**(-21) assuming p is positive. p**(-2353/140) Simplify (h**(-2)*h/h**(-1/5)*h*h*h*h**2/h*h*h*h**(-4/3))/((h*((h/(h*h**5))/h)/h*(h/(h*h*h/h**(-1/2)))/h)/(h**(-2/7)*h**4*h*h)) assuming h is positive. h**(4007/210) Simplify (w**(-7)*w*(w**(-6)/w)/w*(w**(-1/4))**35)/(w**(1/6)/(w/(w**2/w)))**19 assuming w is positive. w**(-311/12) Simplify ((y/(y**(-2)/y)*(y/y**(2/7)*y)/y)/((y/y**(-2/21))/y**(-6)))/((y/y**(-2/23))/y**(-6)*y**5*y/(y**(-7/2)*y)) assuming y is positive. y**(-17357/966) Simplify ((u*u**9)/(u/(u*u/(u**(-1/7)*u))*u*u))**(-21/2)*(u**(-2/9)*u)**12/(u/(u/u**(-2/9)))**(-13) assuming u is positive. u**(-1423/18) Simplify (((c*c/c**(1/2)*c*c**4)/(c*(c*c**(-1)*c)/c*c*c*c*c**4*c))**(-14/3))**20 assuming c is positive. c**(700/3) Simplify ((t**(-9/13)*t*t**(-5/6))**(-29/3))**(9/7) assuming t is positive. t**(1189/182) Simplify ((z**(-1/3)/(z/(z/z**(8/3))))/(z**(-1)*z**(2/5)/z*z))**(-37) assuming z is positive. z**(444/5) Simplify (v**(-17/5)/((v/v**21)/v))/(v*v*(v*v**(-3)/v)/v)**1 assuming v is positive. v**(98/5) Simplify (a*a**38/a*a*a*a/(a/(a/(a*a**(-4/7)/a))))/((a**11/a)/(a**(-19)*a)) assuming a is positive. a**(95/7) Simplify ((z*z**(-3))/(z/z**(-9)*z*z)*(z**(5/2))**6)**9 assuming z is positive. z**9 Simplify (((d/d**(-2/5))/(d**(-1/7)*d))/(d**(1/5)/(d/(d**(-1/4)/d)*d)))/((d**1/d)**(2/11)*(d/(((d*d**(-3/7)*d*d)/d*d)/d*d))/d*d*d**(-6)) assuming d is positive. d**(1563/140) Simplify (o**6*o*o**(-2/13))**(-2/25)/(o**(1/3)*(o**(-1/2)/o)/o)**(-24) assuming o is positive. o**(-17078/325) Simplify ((h/h**(-2/9))**(-21))**(-2/5)/((h/(h*(h/((h/h**(3/8))/h)*h)/h))/((h*h/(h**2/h))/h)*(h/(h/(h*h*h/h**(1/3)*h*h)))**(-1/2)) assuming h is positive. h**(559/40) Simplify (r/r**(-2/9)*(r*r/(r*r**(2/103)))/r)/(r**(2/17)*r)**(-11/2) assuming r is positive. r**(231653/31518) Simplify k/(k**(-6)/k)*k**(-2/21)*(k/k**(1/4))**(-13)*(k/(k*((k/(k*k*(k**(1/3)/k)/k*k*k*k*k))/k)/k*k))**(-15)*(k**(-2/5))**49 assuming k is positive. k**(-36307/420) Simplify (((n*n**(2/21))/n*n**14)/((n/n**12)/(n*n**10*n*n*n)))**(2/43) assuming n is positive. n**(1642/903) Simplify (((j*j**2*j*((j/(j**(2/5)*j))/j)/j*j)/(j**5/j**4))**32)**(-6/13) assuming j is positive. j**(-1536/65) Simplify ((u**(6/17)*u)/u)**(-10/9)*((u*u**7)/u)**(-18) assuming u is positive. u**(-6446/51) Simplify ((l**(-2/7))**(-35)/(l**(2/7))**(-4/17))/(((l*l*l/(l/l**(-3)))/l)/(l*l**(-2/3))*(l**(-6)/l)/(l/(l*l**(-3)))) assuming l is positive. l**(7997/357) Simplify ((i/i**0)**46*(i**1)**(5/14))/((i**(-1))**(-3/5))**25 assuming i is positive. i**(439/14) Simplify ((a*a**0)**(-10/13))**(-11/6)*(a*a**(2/21)*a*a**(-11)*a)**20 assuming a is positive. a**(-42775/273) Simplify ((j**(-1))**20/((j*j**(3/5))/j*j*(j/(j/((j**(-1)/j)/j)))/j))/(((j*j/j**6)/((j*j/(j**(1/6)*j))/j))/(j**(1/3)*j**(2/7))) assuming j is positive. j**(-2761/210) Simplify (((((x*x*(x/(x*x**(-6))*x)/x*x)/x)/x**(2/17))/(x*x**(-1/4)*x)**(-2/131))**(-10))**(-2/15) assuming x is positive. x**(70454/6681) Simplify ((y*y**(-7)*y)/y*y*y*(y**(-7)*y*y)/y*y**(-2/3)/(y*(y/y**(-4))/y))**(2/115) assuming y is positive. y**(-94/345) Simplify ((h**40/h)/(h/h**7))/(h**(-2/75)*h)**(2/19) assuming h is positive. h**(63979/1425) Simplify (y**(3/4)*y*y**(-4))**(-21)*(((y/(y/((y/(y*y**(-4)))/y)*y)*y*y*y*y)/y)/y*y)/(y/((y/y**1)/y))*((y/(y**(2/7)/y))/y)**8 assuming y is positive. y**(1567/28) Simplify ((n/(n*n/(n/((n*(n*n**(2/13))/n)/n*n*n))))**35/((n*n**(1/5))/((n/(n/n**(2/27)))/n*n*n)))**(24/7) assuming n is positive. n**(-1060168/4095) Simplify ((q*q*q**1)**(-4/5))**(-8/7)*(q**(-2/9)/(q/(q/(q/q**(1/3)))))/((q**4/q*q)/(q/(q*q*q*q*q*(q*q/(q*q**(6/5)))/q*q))) assuming q is positive. q**(-1873/315) Simplify ((w**(-2/9)/w**(-1/11))/((w**(-1/2)*w)/w)**(-3/23))/((w**(1/8)/(w*w**(2/5)*w))/(w/(w*w*(w**1*w*w*w*w)/w)*w)**27) assuming w is positive. w**(-9647333/91080) Simplify ((p**(-5)/p)/(p*p/(p*p**(-7))*p*p*p))**(-35)/(((p**(-2/9)/p)/p**1)/(p/p**3*p**(1/7))) assuming p is positive. p**(37508/63) Simplify ((i/i**1)/(i/((i/(i**30*i))/i)*i)*(i**(-9))**(-4/3))**(1/33) assuming i is positive. i**(-7/11) Simplify (j**(-46)*j**(-3/5)*j)/(j/j**(3/5)*j**(-10)*j) assuming j is positive. j**(-37) Simplify (((s**(-2/15)/s)**14/(s**13*(s/s**14)/s))**(-3/4))**(-47) assuming s is positive. s**(-10481/20) Simplify ((a/(a/a**2))**16*((a/(a*a**(3/7)/a))/a*a)**(2/43))**(-10/9) assuming a is positive. a**(-96400/2709) Simplify (f*f**21*f*f**15/f*f/f**11*f/(f*f**(3/2))*f)**(-4/3) assuming f is positive. f**(-106/3) Simplify (((j*j**(-1)/j)/j)/j**(-1))**(3/19)/((((j*j**(-3))/j)/(j/(j**(-1)*j)*j))/(j*j*j*j/((j**(1/2)/j)/j)*j)**(-13)) assuming j is positive. j**(-3027/38) Simplify ((((d*d/(d**5*d*d))/d)/d)/d**(-1/6))**46*d**(3/5)/(d*d**4)*(d/(d*((d/(d/d**2))/d)/d))/(d/(d/(d*d**(-1/5)*d)*d*d)) assuming d is positive. d**(-4778/15) Simplify l**(-1/4)*l/(l*l**4*l)*l*(l*l*l*l/l**(2/5))**(-5/13)*(l**(2/5)/(l*l/(l**(-2)*l)))/(l**0)**48 assuming l is positive. l**(-2141/260) Simplify ((c**7/(c/(c/c**(3/5)*c)))/(c/c**(6/7)*c**(-1/3)))/(c**(4/7)*c*c**(-7))**(14/3) assuming c is positive. c**(3457/105) Simplify ((u**(-3/2)/u)/u**(-3/5))**(7/5)/(u**(-1/2)*u*u**(-3/7)*u*u)**(-19/3) assuming u is positive. u**(5491/525) Simplify (((x*x/x**(-4)*(x*x*x/x**3*x)/x)**(1/25))**(-3/5))**17 assuming x is positive. x**(-306/125) Simplify (r**5/r**(-6)*(r*r**(-1/4)*r)/((r**(-2/3)/r)/r*r))/(r**(-1/8)/(r**(-3)*r))**4 assuming r is positive. r**(83/12) Simplify (s*s/((s*s*s**(1/36)/s)/s)*s*s*s**(-11/3))/(s**42/((s*s*s**(-33)*s*s)/s)) assuming s is positive. s**(-2581/36) Simplify (r**24/r**(-22))/((r**(3/17)*r)/r**14) assuming r is positive. r**(1000/17) Simplify ((m**0)**6/(m**(2/7))**(5/9))/((m**0)**(4/19)/(m**0*m**(-1/10)/m)) assuming m is positive. m**(-793/630) Simplify ((s**6*s)**(-1/71)/(s**1)**(-4/7))**34 assuming s is positive. s**(7990/497) Simplify ((v/((v/v**(-2/7))/v))/v)**(-3/7)/(v**(-4/3)/(v**6*v))*(v/(v*v/(v/((v*v**(2/7)*v)/v))))**(-34)*(v*v/(v/v**1))**(-2/11) assuming v is positive. v**(83771/1617) Simplify ((g*g**1*g)**(-22))**43*(g**(-1))**(-20)*g**(-4/7)/g**(-4) assuming g is positive. g**(-19702/7) Simplify ((q/((q**3/q)/q))**(-38))**(-22)/(q**8*q/((q/(q*q**(-3/8)))/q)*(q*q*q**(-3))/(q**(4/5)/q)) assuming q is positive. q**(-353/40) Simplify (((o/o**(-33))/(o*o**(-5/13)))/(o**18)**(-47))**(-7) assuming o is positive. o**(-80024/13) Simplify ((k**(2/5))**47/(k/k**(2/5))**(8/7))/(k**(-4)/(k**(-3)*k))**(-6/5) assuming k is positive. k**(110/7) Simplify (n**(2/29)/(n**(-38)*n))/(n**(2/49))**(-10/9) assuming n is positive. n**(474655/12789) Simplify (a/(a*a/(a*a**1)))/(a/(a**(-2/13)*a))*(a/a**3)/(a**(2/3)*a)*((a**8/a)/(a*a*a/a**0))/(a**2*a*a*a**(-7)*a) assuming a is positive. a**(124/39) Simplify (n/(n**(-7/6)/n)*n*n*((n*n*n**(2/21))/n)/n*n*(n**(-17)/n)/(n/(n/(n*n**1*n))))**(-26) assuming n is positive. n**(8047/21) Simplify (((r**(-11)/r)/r*(r/(r**(-18)/r))/r)/(r**(-2/3))**21)**(-3/10) assuming r is positive. r**(-6) Simplify (q*q*q**(-1/5)/q*q*q*q*q**(1/7)/q)**21*((q*q/q**6)/((q/(q**(-5)*q))/q))**(-6/7) assuming q is positive. q**(2403/35) Simplify ((w/(w**(2/7)/w)*w*w)**(-41))**(-42)*((w**1)**(-17))**(18/7) assuming w is positive. w**(44466/7) Simplify ((t*t/t**(-1))/t*t*t**(1/2)*t)**(-18)*(t/(t**(-7)/t*t)*t*t)/(t/(t**(2/15)*t))*t*(t/(t*t**0))/t*t*t**(-3) assuming t is positive. t**(-1093/15) Simplify (p**(-15/2))**(-1)/(p**(-8)/p*(p**(-14)/p*p)/p) assuming p is positive. p**(63/2) Simplify n**(-14/5)*(n/n**21)/n*(n**(-19/5)*n)/(n/(n*n**(-28)/n)) assuming n is positive. n**(-278/5) Simplify ((((n/(n**5/n*n))/((n/(n**(4/5)/n)*n*n)/n))/(n**(-2/7))**(9/2))**(14/3))**(-17) assuming n is positive. n**(5848/15) Simplify ((s**(-2/3)/s*s)**(-6)*(s*s**(-1))/s*s/(s*(((s*s*s**(-3/10))/s*s)/s)/s*s))/(s**(-2/3)*s*s**(-6)/s*s**(-4)/(s**3/s)) assuming s is positive. s**(449/30) Simplify ((x*x**(-26)*x/(x**20/x))/(x*x**(-1/3))**(-13))**(-19) assuming x is positive. x**(1957/3) Simplify ((d/(d**(-1/3)*d))**(-
{ "pile_set_name": "DM Mathematics" }
ithout replacement from yptzqky. What is prob of sequence qpyk? 1/420 What is prob of sequence nnn when three letters picked without replacement from {n: 3, e: 1}? 1/4 Four letters picked without replacement from eezezvhezezeh. What is prob of sequence vhzh? 1/2145 Calculate prob of sequence ai when two letters picked without replacement from iaiia. 3/10 Calculate prob of sequence mzm when three letters picked without replacement from {z: 3, m: 11}. 55/364 Calculate prob of sequence grd when three letters picked without replacement from {d: 1, u: 2, z: 3, g: 1, r: 12}. 2/969 Calculate prob of sequence iqq when three letters picked without replacement from {l: 3, i: 3, q: 5}. 2/33 Calculate prob of sequence jraz when four letters picked without replacement from kjkrazyay. 1/1512 Calculate prob of sequence aa when two letters picked without replacement from {a: 5, k: 2}. 10/21 What is prob of sequence rrrr when four letters picked without replacement from {j: 4, r: 14}? 1001/3060 What is prob of sequence sq when two letters picked without replacement from {q: 7, o: 9, s: 3}? 7/114 Three letters picked without replacement from {k: 5, a: 2, f: 1, e: 4, d: 2}. Give prob of sequence fee. 1/182 Four letters picked without replacement from ogogogor. Give prob of sequence ooro. 1/70 Calculate prob of sequence xaa when three letters picked without replacement from {k: 1, x: 1, a: 2}. 1/12 What is prob of sequence ddu when three letters picked without replacement from {u: 4, d: 3, z: 3, k: 1, b: 1, e: 6}? 1/204 Two letters picked without replacement from zkmmkmmmmzmmmkjmjzmm. What is prob of sequence jj? 1/190 Three letters picked without replacement from {x: 1, b: 2, g: 9, k: 1}. What is prob of sequence xbb? 1/858 Calculate prob of sequence qll when three letters picked without replacement from qqqqqlqqqlqqll. 5/91 Calculate prob of sequence pzfp when four letters picked without replacement from zpzfpf. 1/45 What is prob of sequence dsr when three letters picked without replacement from lrytdds? 1/105 Calculate prob of sequence fll when three letters picked without replacement from fll. 1/3 Two letters picked without replacement from hnvehpnlv. What is prob of sequence le? 1/72 Calculate prob of sequence heb when three letters picked without replacement from {b: 1, n: 1, h: 1, d: 1, e: 1, y: 2}. 1/210 Two letters picked without replacement from {t: 2, j: 1}. Give prob of sequence jt. 1/3 Calculate prob of sequence vii when three letters picked without replacement from ivivviiviviiiivivvv. 45/323 Four letters picked without replacement from {q: 1, x: 3}. Give prob of sequence xqqx. 0 Three letters picked without replacement from ptpttppp. What is prob of sequence ttt? 1/56 What is prob of sequence uc when two letters picked without replacement from {h: 2, c: 1, w: 2, r: 2, u: 1}? 1/56 Two letters picked without replacement from jaqlyloljyqj. Give prob of sequence qo. 1/66 Calculate prob of sequence dzdd when four letters picked without replacement from zzddzzzddz. 1/35 What is prob of sequence joko when four letters picked without replacement from zzjfjzojzccojzfkzc? 1/9180 Three letters picked without replacement from vzvzkckkzzzkzkzkkkzk. Give prob of sequence kkz. 8/95 Calculate prob of sequence ejjj when four letters picked without replacement from kekkekjejeejkkjk. 1/364 What is prob of sequence iioi when four letters picked without replacement from {p: 2, i: 6, o: 2, k: 3}? 2/143 Four letters picked without replacement from awifawcaefiwieeai. What is prob of sequence wcaf? 1/2380 Three letters picked without replacement from {h: 3, e: 8}. What is prob of sequence hee? 28/165 Two letters picked without replacement from {s: 2, i: 1, r: 1}. What is prob of sequence sr? 1/6 What is prob of sequence hu when two letters picked without replacement from {u: 6, h: 7}? 7/26 Three letters picked without replacement from {v: 5, r: 5}. Give prob of sequence vvv. 1/12 Four letters picked without replacement from hawhghhgkhhhtghwhhk. Give prob of sequence agwh. 5/7752 Calculate prob of sequence irj when three letters picked without replacement from {j: 1, r: 2, i: 2, w: 1}. 1/30 What is prob of sequence mmgm when four letters picked without replacement from {m: 10, g: 2, v: 4}? 3/91 Four letters picked without replacement from wwssbwbwbbbbwbwwsb. What is prob of sequence wsss? 7/12240 What is prob of sequence baq when three letters picked without replacement from {k: 1, q: 1, a: 2, b: 1}? 1/30 Calculate prob of sequence yyyy when four letters picked without replacement from {y: 9}. 1 Calculate prob of sequence hb when two letters picked without replacement from {t: 1, h: 4, l: 4, b: 1, r: 2, g: 3}. 2/105 What is prob of sequence ww when two letters picked without replacement from wwxxxxxxwwtytxxtxwy? 10/171 What is prob of sequence vcc when three letters picked without replacement from {c: 10, v: 10}? 5/38 Calculate prob of sequence ttt when three letters picked without replacement from {k: 3, t: 4, x: 5, q: 1}. 2/143 What is prob of sequence mm when two letters picked without replacement from smkkskskmkmss? 1/26 What is prob of sequence uv when two letters picked without replacement from ususaduavdazsuv? 4/105 What is prob of sequence wwgq when four letters picked without replacement from {q: 1, w: 2, g: 3, b: 6}? 1/1980 What is prob of sequence ly when two letters picked without replacement from {v: 3, l: 4, u: 6, h: 1, y: 1}? 2/105 Two letters picked without replacement from {m: 2, u: 1, g: 1, w: 1, q: 1, r: 1}. What is prob of sequence gm? 1/21 Three letters picked without replacement from {q: 5}. What is prob of sequence qqq? 1 Two letters picked without replacement from {f: 1, s: 1, n: 1, w: 2}. What is prob of sequence ws? 1/10 Two letters picked without replacement from {d: 3, f: 8}. Give prob of sequence dd. 3/55 Three letters picked without replacement from fqkfpfpqfqfffkk. Give prob of sequence qqf. 1/65 Three letters picked without replacement from {p: 3, z: 2, c: 7, y: 5}. What is prob of sequence cpy? 7/272 Three letters picked without replacement from vvvbbvb. Give prob of sequence bvb. 4/35 Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, a: 4, v: 1}. 1/56 Four letters picked without replacement from {c: 1, b: 1, w: 1, o: 6}. What is prob of sequence boco? 5/504 Three letters picked without replacement from lusueuevuuuvvu. What is prob of sequence esu? 1/156 Calculate prob of sequence lttt when four letters picked without replacement from {t: 7, l: 9}. 9/208 Three letters picked without replacement from llzr. Give prob of sequence rzl. 1/12 Four letters picked without replacement from xghzgxqxzxgkxgxxk. Give prob of sequence kxqg. 1/1020 Two letters picked without replacement from {h: 1, o: 1, a: 4, y: 1, n: 1}. What is prob of sequence ah? 1/14 Calculate prob of sequence mgg when three letters picked without replacement from gmmmmgmmgmgmg. 40/429 What is prob of sequence bbbv when four letters picked without replacement from {b: 7, v: 7}? 35/572 What is prob of sequence jy when two letters picked without replacement from {e: 1, y: 1, j: 1}? 1/6 Two letters picked without replacement from kkkquoooooxkkkk. What is prob of sequence kk? 1/5 Two letters picked without replacement from zlww. What is prob of sequence lw? 1/6 What is prob of sequence fffj when four letters picked without replacement from {f: 3, j: 1}? 1/4 Four letters picked without replacement from dpewpov. What is prob of sequence evdw? 1/840 Calculate prob of sequence djj when three letters picked without replacement from zdjjz. 1/30 Four letters picked without replacement from bbzzz. What is prob of sequence zbzz? 1/10 Three letters picked without replacement from {e: 7, n: 4, x: 2, g: 4, j: 1}. What is prob of sequence gnn? 1/102 What is prob of sequence lrn when three letters picked without replacement from {n: 3, r: 4, l: 4}? 8/165 Four letters picked without replacement from {c: 12, y: 3}. Give prob of sequence yycy. 1/455 Calculate prob of sequence mg when two letters picked without replacement from ggumggu. 2/21 Two letters picked without replacement from {i: 1, k: 1, t: 1}. Give prob of sequence ik. 1/6 Two letters picked without r
{ "pile_set_name": "DM Mathematics" }
4 What is the y'th term of -17, 40, 195, 496, 991, 1728, 2755? 8*y**3 + y**2 - 2*y - 24 What is the f'th term of -147, -295, -443, -591, -739, -887? -148*f + 1 What is the c'th term of 8785, 8787, 8789, 8791, 8793, 8795? 2*c + 8783 What is the u'th term of -12, -6, 0? 6*u - 18 What is the p'th term of 254, 509, 764, 1019? 255*p - 1 What is the k'th term of -8, -19, -36, -59, -88, -123? -3*k**2 - 2*k - 3 What is the f'th term of 202, 403, 604, 805, 1006? 201*f + 1 What is the m'th term of -292, -304, -316? -12*m - 280 What is the c'th term of 16, 14, 2, -26, -76, -154, -266? -c**3 + c**2 + 2*c + 14 What is the o'th term of 36, 69, 102, 135? 33*o + 3 What is the p'th term of 1624, 1626, 1628? 2*p + 1622 What is the m'th term of 27, 73, 121, 171, 223, 277, 333? m**2 + 43*m - 17 What is the i'th term of 156, 158, 160, 162, 164? 2*i + 154 What is the g'th term of 520, 2015, 4506, 7993, 12476, 17955, 24430? 498*g**2 + g + 21 What is the d'th term of -136, -266, -384, -484, -560, -606? d**3 - 137*d What is the a'th term of -69, -165, -261, -357, -453, -549? -96*a + 27 What is the p'th term of 12, 15, 14, 9, 0? -2*p**2 + 9*p + 5 What is the x'th term of -93, -359, -627, -897? -x**2 - 263*x + 171 What is the o'th term of 226, 229, 232, 235? 3*o + 223 What is the h'th term of 41585, 41581, 41575, 41567? -h**2 - h + 41587 What is the r'th term of 4, 25, 60, 115, 196, 309? r**3 + r**2 + 11*r - 9 What is the r'th term of 13, 14, 7, -14, -55, -122? -r**3 + 2*r**2 + 2*r + 10 What is the x'th term of 69, 79, 95, 117, 145? 3*x**2 + x + 65 What is the j'th term of -268, -537, -806? -269*j + 1 What is the y'th term of -2723, -5430, -8137, -10844, -13551, -16258? -2707*y - 16 What is the o'th term of 48, 60, 72? 12*o + 36 What is the x'th term of -2, 0, 2, 4? 2*x - 4 What is the c'th term of 716, 711, 696, 665, 612, 531, 416? -c**3 + c**2 - c + 717 What is the r'th term of 44, 68, 92, 116? 24*r + 20 What is the j'th term of -22, -16, -6, 8, 26? 2*j**2 - 24 What is the b'th term of 385, 742, 1099, 1456, 1813, 2170? 357*b + 28 What is the o'th term of 181, 358, 535, 712, 889? 177*o + 4 What is the a'th term of -74, -81, -98, -131, -186, -269, -386? -a**3 + a**2 - 3*a - 71 What is the o'th term of -254, -255, -256, -257? -o - 253 What is the u'th term of -36, -111, -198, -303, -432, -591? -u**3 - 68*u + 33 What is the o'th term of 341, 340, 337, 332, 325, 316, 305? -o**2 + 2*o + 340 What is the l'th term of 13, 88, 285, 664, 1285, 2208, 3493? 10*l**3 + l**2 + 2*l What is the w'th term of 6, 52, 170, 396, 766, 1316? 6*w**3 + 4*w - 4 What is the y'th term of 308, 328, 344, 356, 364? -2*y**2 + 26*y + 284 What is the s'th term of -1431, -1433, -1435, -1437, -1439, -1441? -2*s - 1429 What is the c'th term of -137, -142, -147, -152, -157? -5*c - 132 What is the o'th term of 71, 143, 215, 287? 72*o - 1 What is the r'th term of -22, -33, -52, -79, -114? -4*r**2 + r - 19 What is the n'th term of -87, -264, -549, -936, -1419? n**3 - 60*n**2 - 4*n - 24 What is the l'th term of 1781, 3563, 5345, 7127, 8909, 10691? 1782*l - 1 What is the s'th term of 3423, 6844, 10265? 3421*s + 2 What is the r'th term of 113, 121, 151, 215, 325, 493, 731, 1051? 2*r**3 - r**2 - 3*r + 115 What is the x'th term of -12280, -12275, -12268, -12259, -12248, -12235, -12220? x**2 + 2*x - 12283 What is the z'th term of -11, 25, 123, 313, 625, 1089, 1735, 2593? 5*z**3 + z**2 - 2*z - 15 What is the w'th term of -3042, -3044, -3046, -3048, -3050, -3052? -2*w - 3040 What is the q'th term of -63, -130, -197, -264? -67*q + 4 What is the f'th term of -8, 44, 170, 400, 764, 1292, 2014, 2960? 5*f**3 + 7*f**2 - 4*f - 16 What is the o'th term of 18, 6, -10, -30, -54, -82, -114? -2*o**2 - 6*o + 26 What is the t'th term of -86, -103, -132, -173, -226, -291, -368? -6*t**2 + t - 81 What is the x'th term of 24, 29, 32, 33? -x**2 + 8*x + 17 What is the r'th term of 44, 70, 82, 74, 40, -26, -130, -278? -r**3 - r**2 + 36*r + 10 What is the l'th term of 972, 971, 970, 969, 968? -l + 973 What is the x'th term of -1, -17, -57, -133, -257, -441? -2*x**3 - 2*x + 3 What is the n'th term of 25, 15, -1, -23, -51? -3*n**2 - n + 29 What is the s'th term of -305, -299, -291, -281, -269, -255? s**2 + 3*s - 309 What is the p'th term of -64, -102, -116, -106, -72, -14, 68? 12*p**2 - 74*p - 2 What is the g'th term of 26, 29, 32, 35, 38? 3*g + 23 What is the y'th term of -229, -425, -621, -817, -1013, -1209? -196*y - 33 What is the b'th term of 12, 25, 38, 45, 40, 17, -30? -b**3 + 6*b**2 + 2*b + 5 What is the w'th term of -38, -67, -114, -179, -262, -363? -9*w**2 - 2*w - 27 What is the z'th term of -6430, -12864, -19298, -25732, -32166? -6434*z + 4 What is the k'th term of -158, -303, -446, -587, -726, -863? k**2 - 148*k - 11 What is the r'th term of -56, -15, 12, 19, 0, -51, -140, -273? -r**3 - r**2 + 51*r - 105 What is the l'th term of -977, -1948, -2919, -3890, -4861? -971*l - 6 What is the d'th term of -10, -69, -224, -523, -1014, -1745, -2764? -8*d**3 - 3*d + 1 What is the a'th term of 1960, 7836, 17628, 31336, 48960, 70500? 1958*a**2 + 2*a What is the r'th term of -201, -405, -615, -831, -1053, -1281, -1515? -3*r**2 - 195*r - 3 What is the h'th term of -169, -1392, -4713, -11182, -21849, -37764, -59977, -89538? -175*h**3 + h**2 - h + 6 What is the u'th term of -16033, -16032, -16031, -16030? u - 16034 What is the g'th term of -360, -600, -854, -1128, -1428, -1760? -g**3 - g**2 - 230*g - 128 What is the l'th term of -10, -34, -76, -136? -9*l**2 + 3*l - 4 What is the y'th term of -103, -212, -319, -424, -527, -628? y**2 - 112*y + 8 What is the h'th term of -2038, -2041, -2044, -2047, -2050, -2053? -3*h - 2035 What is the g'th term of 367, 373, 383, 397, 415, 437? 2*g**2 + 365 What is the w'th term of -13, -32, -87, -196, -377, -648, -1027, -1532? -3*w**3 + 2*w - 12 What is the h'th term of 1602, 1602, 1592, 1566, 1518, 1442? -h**3 + h**2 + 4*h + 1598 What is the c'th term of -31789, -31799, -31823, -31867, -31937? -c**3 - c**2 - 31787 What is the y'th term of -159, -147, -119, -69, 9, 121? y**3 + 2*y**2 - y - 161 What is the p'th term of -31, -39, -47, -55? -8*p - 23 What is the l'th term of 37, 31, 21, 7, -11, -33? -2*l**2 + 39 What is the c'th term of 6, 99, 366, 897, 1782? 15*c**3 - 3*c**2 - 3*c - 3 What is the k'th term of -526, -512, -494, -472, -446? 2*k**2 + 8*k - 536 What is the b'th term of 16, 15, 12, 7, 0, -9, -20? -b**2 + 2*b + 15 What is the d'th term of -25, -52, -79? -27*d + 2 What is the c'th term of -99, -130, -175, -228, -283, -334? c**3 - 13*c**2 + c - 88 What is the m'th term of -13, 39, 125, 245, 399, 587, 809? 17*m**2 + m - 31 What is the s'th term of 594, 2317, 5182, 9183, 14314, 20569, 27942? -s**3 + 577*s**2 - s + 19 What is the u'th term of 10, 11, 22, 49, 98, 175, 286? u**3 - u**2 - 3*u + 13 What is the k'th term of 2143, 2148, 2153? 5*k + 2138 What is the c'th term of -122, -158, -194, -230, -266? -36*c - 86 What is the k'th term of -39, -145, -253, -363, -475? -k**2 - 103*k + 65 What is the j'th term of 24, 40, 58, 78, 100, 124? j**2 + 13*j + 10 What is the k'th term of -676, -675, -662, -631, -576, -491, -370? k**3 - 6*k - 671 What is the q'th term of -96, -76, -56, -36, -16, 4? 20*q - 116 What is the a'th term of -9, -7, -17, -51, -121, -239, -417? -2*a**3 + 6*a**2 - 2*a - 11 What is the y'th term of 74, 76, 78, 80, 82, 84? 2*y + 72 What is the k'th term of -134, -190, -250, -314, -382, -454, -530? -2*k**2 - 50*k - 82 What is the r'th term of -84, -102, -126, -156, -192, -234? -3*r**2 - 9*r - 72 What is the w'th term of 55, 108, 161, 214? 53*w + 2 What is the y'th term of -16, -31, -44, -55, -64, -71, -76? y**2 - 18*y + 1 What is the v'th term of -30, -155, -366, -663? -43*v**2 + 4*v + 9 What is the w'th term of -60, -85, -122, -177, -256, -365, -510, -697? -w**3 - 18*w - 41 What is the h'th term of 7, -1, -31, -95, -205? -2*h**3 + h**2 + 3*h + 5 What is the v'th term of -1815, -1814, -1813, -1812? v - 1816 What is the k'th term of 5, -23, -121, -325, -671, -1195? -6*k**3 + k**2 + 11*k - 1 What is the s'th term of 34, 80, 144, 220, 302? -s**3 + 15*s**2 + 8*s + 12 What is the a'th term of 4017, 8032, 12047, 16062? 4015*a + 2 What is the x'th term of -100, -147, -192, -235, -276, -315? x**2 - 50*x - 5
{ "pile_set_name": "DM Mathematics" }
(3/(-9)). Which is the closest to -1? (a) -0.4 (b) q (c) -1/6 b Let l be 10/(-15)*(-1)/(-6). Which is the closest to 2/3? (a) 0.4 (b) -0.4 (c) l a Let y(c) = -c**2 + c + 28. Let r be y(6). What is the closest to 0 in r, 5/6, 0.1? 0.1 Let l = 1.935 + 0.065. Which is the nearest to l? (a) 5 (b) -0.2 (c) -1/2 b Let w = 0 + 0.12. Let a = 0.02 - w. What is the nearest to a in -0.3, 2/11, -2? -0.3 Let k(w) = -4*w**3 + w**2 - w + 1. Let f be k(1). Let t = -0.195 - -0.255. Which is the closest to 2/7? (a) 2/5 (b) t (c) f a Let j = -2 - 0.7. Let l = -3 - j. Let d = 338/249 + -2/83. Which is the closest to 1? (a) -3 (b) l (c) d c Let o = 1039/33 - 95/3. Let y = 0.403 - 0.003. Which is the nearest to 0? (a) o (b) -4/3 (c) y a Let t = 18 + -18. Which is the closest to -0.1? (a) t (b) 0.3 (c) -3 a Let s be 2/4*(-6)/(-5). What is the nearest to 2/5 in -2, s, 1/4? 1/4 Let c = 0.013 - 0.013. What is the closest to c in -0.5, 4, -1/3? -1/3 Let g = -71 + 72. Let r = 0.2 + -0.6. What is the closest to -2/5 in r, -1, g? r Let f = 0.9 - 1. Which is the nearest to f? (a) 2 (b) 0.3 (c) 0.2 c Let y be (-2)/4 - (-2)/4. Suppose 3*q + 2*q + 100 = y. Let n = q - -61/3. What is the nearest to n in -0.2, 0.5, -5/6? 0.5 Let l = 23 - 163/7. Let k = 1.8 - 2. Let n = -6 + 4. What is the nearest to k in -5, l, n? l Let s = -0.07 - -0.1. Let k = -0.03 + s. What is the closest to k in 5, -4, 0.3? 0.3 Let s = 28.7 + -29. Let j be ((-1)/6)/((-2)/(-4)). Which is the nearest to j? (a) 5 (b) 4 (c) s c Let m = 4.8 - 5. Let v = 2.3 - 3.2. Let g = 1 + v. What is the closest to g in -1/3, -3, m? m Let o be ((-15)/(-6) - 2)*2. Suppose -3*d = o + 2. Let h = 211/3 - 71. What is the closest to -1 in h, d, -2/9? d Let l = 34 - 34.3. Let w = -0.5 + 0. Which is the closest to 3? (a) 1/3 (b) l (c) w a Suppose -9 = 3*p - 0. Let h be (56/(-6))/(2/p). Let u be ((-2)/h)/(2/(-4)). Which is the closest to -1/2? (a) u (b) -5 (c) 2/3 a Let u = 83 + -83.1. Let p = 3.4 + 0.6. Which is the nearest to -1? (a) u (b) -3 (c) p a Let f be (-27)/(-63) + (-202)/406. What is the nearest to 1 in 1, f, -1/7? 1 Let z be (-6)/9 - (-3 - -3). Which is the closest to z? (a) 0 (b) 1.9 (c) 3 a Let g = -2.4 + 20.4. Let l = 16 - g. What is the closest to -0.1 in 5, 2, l? l Let t = -123/4 - -30. What is the closest to -0.7 in t, 1, -4? t Let y = -12.6 + 13. What is the closest to 1 in 1/10, y, -0.1? y Let h = -47/333 - 3/37. Let z = -3/2 + -1. Which is the nearest to 1? (a) h (b) z (c) -2 a Let j = -205/7 + 29. Let d = -3.1 - -3.6. Which is the nearest to j? (a) -0.5 (b) d (c) 2/15 a Let i be (-26)/(-12) - (1 + 0). Let g = i + -1/2. Which is the nearest to g? (a) -0.04 (b) -1 (c) -3 a Let m be (9 + 4 - 3)/2. Which is the closest to -5? (a) 1/2 (b) 4 (c) m a Let d = -0.7 + 0.8. Which is the nearest to 2/3? (a) 1/8 (b) d (c) 0 a Let v be (-2)/(-12) + 4/(-24). Let w = -0.089 - 2.991. Let f = 0.08 + w. What is the closest to v in f, -1/3, 2/5? -1/3 Let d = 34 + -14. Let u be (-12)/(-2)*(-2)/d. Suppose -3*k = -4 + 1. What is the nearest to k in -4, u, -0.1? -0.1 Let d = -2.7 + -0.5. Let w = 0.3 + -3.3. Let p = w - d. Which is the closest to 1? (a) p (b) -0.2 (c) 3 a Let s = 2 - 3. Let t be ((-168)/(-7))/((-6)/4). Let u = t + 15. What is the nearest to s in 2, -2, u? u Let x = -26 + 23. Let o be 4/x*13/(-26). What is the nearest to 1/2 in o, 5, 3? o Let s = 1.1 - 1. Let f = 320 - 180. Let x = f + -1542/11. Which is the closest to s? (a) -1/3 (b) 4 (c) x c Suppose -4*w = -5*q - w + 9, -2*w = -5*q + 11. Suppose q*x = x - 8. Which is the closest to -2? (a) x (b) -2 (c) 0.1 b Let g = -14 - -12. Let t = 1.9 + g. What is the closest to -3 in 3, t, 4? t Let v = -3 + 2.7. Suppose -13*c + 16*c = -3. What is the closest to 1 in c, v, 2/13? 2/13 Let y = -365 - -364. Suppose -u + 3*u = -6. What is the nearest to 0 in y, 2/3, u? 2/3 Let x = -30 - -26.9. Let p = 0.1 + x. Which is the closest to 0.1? (a) -5 (b) p (c) 0.3 c Let l be 16/264*3/(-1). Which is the nearest to 0.2? (a) 2 (b) l (c) -0.5 b Let x = -3 + 2.7. Suppose -2*n + 15 = 3*h, -24 = -2*h - 3*h - 3*n. Let l be ((-9)/6)/(h/(-2)). What is the nearest to l in -0.2, 5, x? -0.2 Let d = -0.05 + 0.35. What is the closest to 1/2 in -3, -0.5, d? d Let p be -2 + 3/(-1) - (-20 + 21). Which is the closest to p? (a) 5 (b) -1 (c) -3 c Let d = -4.96 - 0.04. Let w = d - -4. Let p = 0.3 - 0.2. Which is the closest to p? (a) 0.3 (b) w (c) 3 a Let q = -1.9 - 0.1. Let p = 4 + q. Let c = -22.7 - -21.7. What is the nearest to -1/3 in c, -0.4, p? -0.4 Let j be (-2)/(2 - 3 - -3). Let p be (7 + -8)*j/(-4). What is the nearest to -1 in 1, -1, p? -1 Let l = -30 - -149/5. Let b = -425/2 - -2973/14. What is the nearest to -1/3 in -2, b, l? l Suppose -2 - 8 = -2*h. Let r be h/(-10) + 22/28. Let y be 3/(-8)*2/3. What is the nearest to 0 in r, -2, y? y Let z = 13 + -13.02. Let c = -0.12 - z. Let x = 3.7 - 0.7. What is the nearest to c in -2, 1/2, x? 1/2 Let o(t) = -t**2 + 5*t - 5. Let q be o(5). Let w(m) = m + 6. Let i be w(q). Let z be (1/4)/(i/(-6)). Which is the closest to 2? (a) -1/4 (b) z (c) 1 c Let v = 0.06 + -0.03. Let s = v - 0.13. What is the closest to s in 0.2, 3, 2? 0.2 Let s = 0.6 - -0.2. Let w = 1 - s. What is the closest to -1 in w, -1, 1? -1 Let s = -20.1 - -20. Which is the closest to 0.1? (a) 2/9 (b) s (c) -4 a Let b be 4/(-2) - 28/(-10). What is the nearest to -1 in 0, b, 0.2? 0 Let m = 4 + -1. Let n be -4 + 0 - 1755/(-455). What is the closest to -0.1 in n, m, -2? n Let h = 49 + -48.5. Suppose m + 2 = -2. Which is the nearest to m? (a) h (b) -1 (c) -5 c Let h = -3.3 - -3.5. What is the closest to 0.1 in 1, 5, h? h Let m(v) = -3*v + 6. Let j be m(1). What is the nearest to 1 in 0.5, 2/67, j? 0.5 Let r = 46.1 + -42. Let v = 3.9 + 0.1. Let u = v - r. What is the nearest to u in 5, -3, -1/4? -1/4 Suppose 18 + 7 = n - s, 3*n - 50 = -2*s. Let t be ((-2)/5)/((-32)/n). Let y = 1 - 0. Which is the nearest to -1? (a) -2/3 (b) y (c) t a Let v = -12 + 11.8. Which is the closest to -1? (a) 1/4 (b) -1/3 (c) v b Let g = 0.2 - -0.1. Let l = -4.2 - -4. Let q be (-144)/(-280) + (-8)/10. Which is the nearest to q? (a) 6/11 (b) l (c) g b Let i = 45 - 89/2. Let k = 1 + 5. Let j be 0 - (-1 + k/9). Which is the nearest to j? (a) i (b) -1/3 (c) 2/5 c Let c = -0.4 - -0.1. Let s = c - 0.2. Let k = 21/11 + -95/44. What is the nearest to -1 in s, k, -0.4? s Let l = 2.038 - 0.038. Let f(w) = -w - 4. Let r be f(-3). Which is the nearest to -1? (a) r (b) l (c) 1/5 a Let x = 19 - 20. What is the nearest to -1 in x, 1, 5? x Let i = -3/20 + -1/10. What is the closest to 1/2 in 3/4, i, 0.3? 0.3 Suppose -43 + 11 = 16*w. Which is the nearest to w? (a) -0.4 (b) -0.5 (c) -2/3 c Let g = -1419/217 - -46/7. Let u = g + 29/62. What is the nearest to u in 0, 3, 5? 0 Let l = 21 - 17. Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) l a Let o = -1.6 - -9.6. Let j = o + -6. What is the closest to 0 in j, -5, -1/4? -1/4 Let a = 6 + -22. What is the closest to 0.1 in 4, a, 3/4? 3/4 Let h = 107 + -101.3. Let i = 6 - h. Let v = -16 + 11. Which is the nearest to -0.1? (a) 0.2 (b) i (c) v a Let w = 1.8 - 2. Let p = -26.9 + 27. Which is the nearest to p? (a) -4 (b) 0.1 (c) w b Let l = -3 - -2.7. Which is the closest to -1/2? (a) -5 (b) -1 (c) l c Let h = 0 - 0.2. Let i = -0.212 - 0.188. Which is the nearest to h? (a) i (b) 2/11 (c) -4 a Let p = 0.06 + 0.04. Which is the nearest to 0.1? (a) p (b) -6 (c) 2/21 a Suppose l = -4*l. Suppose k - 2*k + 1 = l. Let y be (-1)/((k*-3)/(-3)). Which is the nearest to 1? (a) y (b) -0.2 (c) 1 c Let t = -0.004 + 0.004. What is the closest to 0 in 1, t, -2/5? t Let t = -0.12 - -0.02. Which is the nearest to 2? (a) 5 (b) t (c) -0.4 b Let g = -2/49 + 116/441. Which is the closest to g? (a) 4 (b) 3 (c) 5 b Let l be 3 + (-11)/(33/4). Which is the nearest to -1? (a) 2/17 (b) 1/4 (c) l a Let h(l) = -l**2 + 4*l + 3. Let c be h(5). Let b = 0.3 + -0.3. Let x = -0.1 + b. What is the nearest to x in -2/13, c, 0.1? -2/13 Let k = 9 + -5. Which is the nearest to 1/2? (a) k (b) 1 (c) 0.2 c Let s = -7.2 - -5. Let b = s - -2. Let i be ((-3)/16)/(2/4). What is the nearest to 1 in 2/7, b, i? 2/7 L
{ "pile_set_name": "DM Mathematics" }
5 - d = 0. -1, 0, 1 Let i(a) be the first derivative of -47*a**3/3 - 46*a**2 + 4*a - 306. Determine t, given that i(t) = 0. -2, 2/47 Solve -14/5*k**2 + 2/5*k**3 - 88/5*k + 0 = 0 for k. -4, 0, 11 Factor -4/3*z**2 + 4*z + 40/3. -4*(z - 5)*(z + 2)/3 Let d be (-39)/(-18) - (-106)/(-53). Factor -1/3*r + 1/6 + d*r**2. (r - 1)**2/6 Let x(u) = u**3 + 14*u**2 - 2*u - 31. Let s be x(-14). Let p be s/(-132)*(8 + 0). Factor 4/11*v + p*v**2 + 0. 2*v*(v + 2)/11 Let j be ((-50)/8 + 4)/(-2 - 1). Factor -j*s**3 + 0*s**2 + 3/2*s**4 + 0 + 0*s - 3/4*s**5. -3*s**3*(s - 1)**2/4 Let d = 1/12293 + 73751/86051. Factor 15/7*w**3 + 0 - d*w**2 + 0*w. 3*w**2*(5*w - 2)/7 Let 4*g**3 + 8/9*g**2 + 2/9*g**5 - 8/3 - 38/9*g + 16/9*g**4 = 0. Calculate g. -4, -3, -1, 1 Find l such that 1/4*l**2 - 25/2*l + 49/4 = 0. 1, 49 Let m(d) be the second derivative of -d**7/14 - d**6/30 + 9*d**5/20 - d**4/4 - d**3/3 - 5*d + 7. Solve m(s) = 0 for s. -2, -1/3, 0, 1 Determine v so that 40/3*v - 20/3 - 35/3*v**5 + 115/3*v**2 - 95/3*v**4 - 5/3*v**3 = 0. -2, -1, 2/7, 1 Suppose 0 = 3*q - 5*l, 0*l = q + 4*l. Let t = 10 - 6. Factor 0*b + 0*b**t + 2/13*b**5 + q + 0*b**3 + 0*b**2. 2*b**5/13 Let y(g) = -99*g - 1778. Let n be y(-18). Factor 8/7*p**n + 10/7*p**3 + 0*p + 0 + 4/7*p**2 + 2/7*p**5. 2*p**2*(p + 1)**2*(p + 2)/7 Let x(b) be the third derivative of b**6/240 + b**5/48 - b**4/32 + 103*b**2. Let x(w) = 0. Calculate w. -3, 0, 1/2 Let t(r) be the second derivative of 5*r**5/4 + 35*r**4/6 + 35*r**3/6 - 5*r**2 - 8*r. Factor t(u). 5*(u + 1)*(u + 2)*(5*u - 1) Factor 6/13*x + 0 + 8/13*x**2 + 2/13*x**3. 2*x*(x + 1)*(x + 3)/13 Let z(h) be the third derivative of -5*h**8/1848 - h**7/1155 + h**6/132 + h**5/330 + 52*h**2. Find s, given that z(s) = 0. -1, -1/5, 0, 1 Let m(c) be the second derivative of -7*c**5/30 + 25*c**4/9 - 83*c**3/9 + 40*c**2/3 + 182*c + 1. Factor m(r). -2*(r - 5)*(r - 1)*(7*r - 8)/3 Factor -3/7*r**2 + r**3 + 0 + 0*r + 1/7*r**5 - 5/7*r**4. r**2*(r - 3)*(r - 1)**2/7 Suppose -191*q - 24 = -195*q. Let i(j) be the second derivative of 0*j**3 + 0 + 1/70*j**5 - 1/105*j**6 + 1/42*j**4 + q*j + 0*j**2 - 1/147*j**7. Factor i(g). -2*g**2*(g - 1)*(g + 1)**2/7 Let z(t) be the second derivative of -9*t**6/80 + 3*t**5/20 + 5*t**4/4 + 2*t**3 - 3*t**2/2 - 46*t. Let n(m) be the first derivative of z(m). Factor n(s). -3*(s - 2)*(3*s + 2)**2/2 Let o be 4*(3 + 12/(-8)). Suppose 0 = r - 0*r - o. Find k, given that r*k + 2 + 2*k**2 - 2 + 4 = 0. -2, -1 Suppose 6*p - 24 = 30. Suppose o + 4*k + 11 = 0, p*o + 4*k = 5*o + 4. Determine c so that -8/3*c - 98/3*c**o + 106/3*c**3 + 8/3 - 106/3*c**2 + 98/3*c**4 = 0. -1, -2/7, 2/7, 1 Let a(g) = 28*g**2 + 13*g**4 + 2*g**2 + 31*g**3 + 0*g**2 + 12*g. Let x(c) = 9*c**4 + 21*c**3 + 20*c**2 + 8*c. Let m(h) = -5*a(h) + 7*x(h). Factor m(t). -2*t*(t + 1)**2*(t + 2) Let j(o) = o**3 + 30*o**2 - 48*o - 27. Let p(a) = 15*a**2 - 24*a - 14. Let w be (-5 + 7)/(3/(-6)). Let b(f) = w*j(f) + 10*p(f). Factor b(u). -2*(u - 4)**2*(2*u + 1) Let w(j) be the first derivative of -j**5/5 + j**4/4 + j**3 - 5*j**2/2 + 2*j - 103. What is h in w(h) = 0? -2, 1 Let u(z) be the first derivative of -25*z - 1/3*z**3 - 30 - 5*z**2. Factor u(h). -(h + 5)**2 Let g(k) be the third derivative of k**7/70 + k**6/10 - k**5/4 + 462*k**2. Factor g(d). 3*d**2*(d - 1)*(d + 5) Suppose -4*t + 3*d - 1 = 0, 60 - 23 = -3*t - 5*d. Let a = 4 + t. Let i**4 - i**5 + 4*i + 2*i**3 + 1 + a - 2*i**2 - 5*i = 0. Calculate i. -1, 1 Let x(l) be the third derivative of -l**6/40 - 7*l**5/10 - 11*l**4/2 - 20*l**3 + 106*l**2. Solve x(d) = 0. -10, -2 Let s(z) be the first derivative of -2*z**5/5 + 2*z**4 + 2*z**3 - 10*z**2 - 16*z - 590. Determine p, given that s(p) = 0. -1, 2, 4 Let d(q) = 2*q**2 - 10*q + 4. Let y(f) = -f**2 - f. Let p be (-45)/30*(-8)/6. Let k(o) = p*y(o) - d(o). Determine a so that k(a) = 0. 1 Let s(z) = -z**3 + 9*z**2 - 14*z - 25. Let o be s(5). Factor 2/9*q**3 - 2/9*q**o + 2/9*q**4 + 0 - 2/9*q**2 + 0*q. -2*q**2*(q - 1)**2*(q + 1)/9 Suppose 32*p - 30*p = 4. Let o(s) be the second derivative of -1/12*s**4 + 0 - s + 0*s**p - 1/15*s**3. Solve o(t) = 0. -2/5, 0 Suppose -8*b = -6*b - 5*z - 45, 0 = b - 3*z - 21. Let u be 1*2 + 3*(-14)/b. Find q such that -12/5*q**5 + 0 - 3/5*q**4 + 0*q + 12/5*q**3 + u*q**2 = 0. -1, -1/4, 0, 1 Factor -527*j**3 - 60*j + 1087*j**3 - 525*j**3 + 125*j**2. 5*j*(j + 4)*(7*j - 3) What is g in -8*g**2 - 14/5*g - 22/5*g**3 + 4/5 = 0? -1, 2/11 Suppose -2*t + 24 + 12 = 4*c, 0 = -2*t + 5*c. Let g = t - -2. Factor -g*s**4 + 11*s**2 - 18*s**3 - 5*s**2 - 3*s**3. -3*s**2*(s + 2)*(4*s - 1) Suppose -2*q + 20 = 10. Factor -g + 5*g + q - 9 - 2 + 2*g**2. 2*(g - 1)*(g + 3) Let j(c) be the first derivative of c**7/3360 - c**6/96 + 5*c**5/32 - 125*c**4/96 - 16*c**3/3 - 4. Let p(u) be the third derivative of j(u). Factor p(f). (f - 5)**3/4 Let i be 1/(-44) - (-81)/297. Let w(q) be the second derivative of 1/60*q**6 - 1/12*q**4 + i*q**2 - 4*q + 0 + 0*q**3 + 0*q**5. What is n in w(n) = 0? -1, 1 Suppose -54*s + 168 = 60. Let f(a) be the second derivative of -4/105*a**6 + 0 + 0*a**3 - 1/14*a**5 + 0*a**s - 8*a - 1/21*a**4 - 1/147*a**7. Factor f(m). -2*m**2*(m + 1)**2*(m + 2)/7 Let a(u) be the second derivative of -u**6/15 - 6*u**5/5 - 35*u**4/6 - 8*u**3 + u - 119. Factor a(q). -2*q*(q + 1)*(q + 3)*(q + 8) Suppose -2 = b, -4*v + 2*v - 4*b = 16. Let k(s) = 3*s + 12. Let n be k(v). Factor 0*f + 0*f**2 + 0*f**3 - 4/5*f**4 + n + 14/5*f**5. 2*f**4*(7*f - 2)/5 Let c(f) be the first derivative of f**5/45 - f**4/27 - 2*f**3/27 + 2*f**2/9 + 2*f + 1. Let d(o) be the first derivative of c(o). Factor d(k). 4*(k - 1)**2*(k + 1)/9 Let c = 7424/3 + -2474. Factor 0 + 0*d - 4/9*d**2 + 10/9*d**3 - c*d**4. -2*d**2*(d - 1)*(3*d - 2)/9 Let g(l) be the third derivative of -l**6/420 + 2*l**5/105 + l**4/12 - 10*l**3/21 - 288*l**2. Solve g(x) = 0 for x. -2, 1, 5 Let m be 8/(-3)*(440/224 + 8 - 10). Factor 4/21 - m*s**2 + 2/21*s. -2*(s - 2)*(s + 1)/21 Factor 0*z + 10/3*z**3 - 5/6*z**4 + 0*z**2 + 0. -5*z**3*(z - 4)/6 Suppose -j + 14 = 3*b - 2*j, 2*j = -2*b + 20. Let n be (-1)/2 + 5/2. Factor -b*p - 2 - 2 - 2*p - 4*p**n. -4*(p + 1)**2 Let l(f) be the third derivative of -f**6/60 + f**5/30 + 5*f**4/6 + 8*f**3/3 + 427*f**2. Determine z so that l(z) = 0. -2, -1, 4 Let u(q) be the first derivative of -8*q**2 - 17 + 0*q - 16/3*q**3 - q**4. Factor u(v). -4*v*(v + 2)**2 Let z(y) be the first derivative of -5*y**4/12 + 5*y**3/2 + 10*y**2 - 14*y + 7. Let p(o) be the first derivative of z(o). Factor p(q). -5*(q - 4)*(q + 1) Let p = -827 - -831. Let c(o) be the first derivative of 0*o - 10 + 1/14*o**p + 1/7*o**2 + 4/21*o**3. Factor c(a). 2*a*(a + 1)**2/7 Let t(q) = q**2 + 7*q + 17. Let k(a) = a - 1. Suppose -f - 6 - 5 = 5*p, 2*f = 5*p - 7. Let v = -7 - f. Let l(b) = v*k(b) - t(b). Find i, given that l(i) = 0. -4 Let o(k) = 2*k**4 + 2*k**3 + 2*k**2 + 3*k. Let z(f) = 2*f**4 + 4*f**3 + 2*f**2 + 4*f. Let p(v) = -4*o(v) + 3*z(v). Find i, given that p(i) = 0. 0, 1 Let j(s) = 4*s**2 + 2*s - 44. Let u be j(-4). Factor u*h + 18 - 11/2*h**2 + 1/2*h**3. (h - 6)**2*(h + 1)/2 Let u(l) be the second derivative of l**6/120 + l**5/5 + 2*l**4 - 2*l**3/3 + 8*l. Let a(x) be the second derivative of u(x). Solve a(j) = 0 for j. -4 Let t(f) be the first derivative of -15 - 2/3*f**3 + 24*f - f**2. Factor t(v). -2*(v - 3)*(v + 4) Let q(p) = 8*p**2 - 9*p + 16. Let c(x) = 10*x**2 - 8*x + 16. Let n(z) = -3*c(z) + 4*q(z). Find r, given that n(r) = 0. 2, 4 Let r(y) = -23*y**2 + 45*y - 88. Let s(g) = -12*g**2 + 22*g - 48. Let a(o) = 6*r(o) - 11*s(o). Suppose a(k) = 0. Calculate k. 0, 14/3 Suppose -5*q + 5*i - 19 = -2*q, -3*i = -q - 13. Solve 5*g - 5*g**q - 12*g + g - 9*g = 0. -3, 0 Suppose -m + 4 = m. Let u(l) = -2*l + 1. Let p be u(-1). Find f such that -2*f**3 + 2*f**3 - 54 + 2*f**p - 18*f**m + 54*f = 0. 3 Find y such that -244*y - y**3 - 8 + 127*y + 115*y + 5*y**2 = 0. -1, 2, 4 Let n(d) be the third derivative of 4*d**7/357 - 13*d**6/1020 - d**5/34 - 84*d**2. Solve n(j) = 0 for j. -3/5, 0, 5/4 Suppose 269*v + 451*v = 7*v. Suppose k - 3*o = 0, -4*k + 6*o = 2*o - 8. Factor 0*x**4 + v*x + 1/2*x**2 + 3/4*x**k + 0 - 1/4*x**5. -x**2*(x - 2)*(x + 1)**2/4 Let g = -7567 + 7569. Suppose 36/5*p**g - 96/5*p + 64/5 - 4/5*p**3 = 0. Calculate p. 1, 4 Let d be 1*-2 - (-8 - -6). Let w be ((-68)/4 + d)*-1.
{ "pile_set_name": "DM Mathematics" }
4/7*a**2 + 4/21*a**3 + 15 - 1/42*a**4. Let h(o) be the first derivative of m(o). Factor h(c). -2*(c - 2)*(c + 1)*(c + 2)/7 Factor -68/13 + 2/13*u**2 + 30/13*u. 2*(u - 2)*(u + 17)/13 Let x be (-786)/2620*(75/27 + -5). Factor 20/3*l - x*l**2 + 22/3. -2*(l - 11)*(l + 1)/3 Find r such that 2/5*r**2 - 888/5*r + 0 = 0. 0, 444 Let t(r) be the first derivative of -1/12*r**6 + 1/8*r**4 + 0*r + 0*r**5 + 0*r**2 + 0*r**3 - 24. Factor t(l). -l**3*(l - 1)*(l + 1)/2 Suppose -57*w + 37*w + 25 = -15. Let h(g) be the first derivative of 0*g + 3/4*g**4 - 27 + 0*g**3 - 3/2*g**w. Factor h(n). 3*n*(n - 1)*(n + 1) Suppose 5*i + 2*c - 10 = 0, -2*i - 18 = c - 21. Let h(f) be the first derivative of 3*f**2 + i*f + 2/3*f**3 + 5. What is g in h(g) = 0? -2, -1 Let u(y) be the second derivative of -35152*y**2 - 13/2*y**4 - 676*y**3 - 3 + 6*y - 1/40*y**5. Factor u(l). -(l + 52)**3/2 Let y be (-19 - (-1089)/57)*(-19)/(-1). Let b(r) be the second derivative of 23*r + 0 + 5*r**y + 1/50*r**5 + r**3 - 3/10*r**4. Solve b(m) = 0 for m. -1, 5 Let p(d) be the third derivative of -13*d**7/126 - 275*d**6/72 + 595*d**5/36 + 4975*d**4/72 + 115*d**3/3 - 10576*d**2. Find c such that p(c) = 0. -23, -1, -2/13, 3 Let i(q) = -q**2 - 21*q - 31. Let d be (-1)/(3 - (-20)/(-7)). Let g be i(d). Factor -140*f**2 + 20*f + g*f**2 + 69*f**2. -4*f*(f - 5) Let p = 180 - 167. Let s(d) = 2*d**2 - 32*d + 81. Let r be s(p). Factor 4/5*u**r + 8/5 + 4*u + 16/5*u**2. 4*(u + 1)**2*(u + 2)/5 Let s(k) = -k**3 - k**2 - 1. Let n be s(-2). Factor 1479*r**4 - 1499*r**4 - 28*r**2 - 36*r**n - 4*r**5 + 0*r**5 - 8*r. -4*r*(r + 1)**3*(r + 2) Suppose 21*f - 194 - 37 = 0. Factor -f*s - 2633*s**3 + 26*s + 2628*s**3 - 10*s**2. -5*s*(s - 1)*(s + 3) Let w be ((-92)/(-14))/((-8)/(-56)). Suppose y = d - 12, -5*d + w = y + y. What is m in 4*m**2 - 12*m**2 - d*m - 25 + 7*m**2 = 0? -5 Determine g so that -2/13*g**5 - 1208/13*g**3 - 1670/13*g + 248/13*g**4 + 2156/13*g**2 + 476/13 = 0. 1, 2, 119 Suppose 251*m - 454 - 299 = 0. Let n(u) be the third derivative of -5/24*u**4 + 0*u - 1/42*u**7 + 1/24*u**6 + 0*u**m - 25*u**2 + 1/12*u**5 + 0. Factor n(z). -5*z*(z - 1)**2*(z + 1) Let b(z) = z**3 - 62*z**2 + 69*z. Let w(o) be the second derivative of 3*o**5/20 - 41*o**4/4 + 23*o**3 + o + 13. Let v(a) = 9*b(a) - 4*w(a). Factor v(c). -3*c*(c - 1)*(c + 23) Let o(x) be the second derivative of -x**7/560 + x**6/120 - x**5/80 + x**3/6 + 31*x**2 - 14*x + 2. Let u(p) be the second derivative of o(p). Solve u(w) = 0. 0, 1 Suppose 2/3*l**3 + 120 + 56/3*l**2 + 138*l = 0. What is l? -15, -12, -1 Find s such that -3993 - 224*s + 1174 - s**2 - 9725 = 0. -112 Let l = 2018475/11 - 183497. Determine z, given that l*z**2 + 2/11*z**5 - 8/11*z + 0 + 6/11*z**3 - 8/11*z**4 = 0. -1, 0, 1, 2 Let g be ((-16)/(-90))/(4 + 72/(-20)). Let l(k) = -2*k**2 + 65*k + 35. Let s be l(33). Factor -g*c - 2/9*c**s + 0. -2*c*(c + 2)/9 Let j be 1655 - 1709 - (-975)/18. Factor -5/6*b**2 - 2/3*b + 10/3 + j*b**3. (b - 5)*(b - 2)*(b + 2)/6 Let s be 8/(-12)*-3*2. Suppose 2*z = -3*f + 12, -20*z = -16*z - 2*f - 8. Factor 8*a**3 + 3*a + 7*a**z - 11*a**2 + 26*a**2 + 5*a**s + 2*a. 5*a*(a + 1)**3 Let x be (-23)/5 - 16/((-480)/150). Determine p, given that 2/5*p**4 + 0 + x*p**2 - 4/5*p**5 + 12/5*p**3 - 4/5*p = 0. -1, 0, 1/2, 2 Factor -5*u**3 - 134*u + 1199*u - 1210*u**2 + 2816*u**2 - 1266*u**2. -5*u*(u - 71)*(u + 3) Suppose 38988/5 + 2223*l + 3/5*l**3 + 354/5*l**2 = 0. What is l? -57, -4 Let h = 1109/23 - 5269/115. Let 3/5*g**5 - 3/5*g**4 + h*g**2 - 18/5*g**3 + 0 + 24/5*g = 0. What is g? -2, -1, 0, 2 Suppose -24*s + 39 = -11*s. Factor 6 + 6*p**s + 16 - 10 - 6*p**2 - 14*p + 2*p**4. 2*(p - 1)**2*(p + 2)*(p + 3) Let i(l) be the first derivative of -10/3*l**3 + 1/2*l**5 + 5/4*l**4 - 10*l**2 - 1/6*l**6 + 13 + 37*l. Let x(w) be the first derivative of i(w). Factor x(z). -5*(z - 2)**2*(z + 1)**2 Let a = -52 - -66. Suppose 8 = 2*f + 34*m - 35*m, 0 = -2*f + 4*m + a. Factor 6/13*p**2 - 6/13 - 2/13*p**f + 2/13*p. -2*(p - 3)*(p - 1)*(p + 1)/13 Let n be (-708)/(-8)*8/9. Let d = n - 1640/21. Determine t, given that 2/7*t**5 + 4/7*t**2 + 0 - d*t**4 - 2/7*t + 0*t**3 = 0. -1, 0, 1 Let g(m) be the third derivative of -m**5/480 - 59*m**4/192 + 1559*m**2. Factor g(s). -s*(s + 59)/8 Let h(n) be the first derivative of n**5/150 - n**4/36 - 2*n**3/45 + n**2/2 + 17*n - 128. Let f(l) be the second derivative of h(l). Find b such that f(b) = 0. -1/3, 2 Suppose -4*j = 5*o - 2769, o = -j + 6*o + 711. Let z be (1 + (-5)/2)*j/(-18). Factor -60*a**4 + z*a**4 + 3*a**2 - a**3 + 5*a**2 - 5*a**3. -2*a**2*(a - 1)*(a + 4) Let z = 34666 + -34662. Factor -2900/3*t**2 - 5000 - 11000/3*t - 1/6*t**5 - 120*t**3 - 43/6*t**z. -(t + 3)*(t + 10)**4/6 Suppose 0 + 125/4*g**4 - 175*g - 5/4*g**5 - 435/4*g**3 - 1265/4*g**2 = 0. What is g? -1, 0, 7, 20 Let a be (18 - 4768/336) + 8/(-7). Factor -3/2*x**4 - 5/6*x**2 + 0 + a*x**3 - 1/3*x. -x*(x - 1)**2*(9*x + 2)/6 Let d(u) = -u**3 - 7*u**2. Let h be d(-7). Suppose -12*o + 19*o - 14 = h. Factor -4 - 1/4*g**2 - o*g. -(g + 4)**2/4 Suppose 276*w - 274*w - 8 = 0. Let s(v) be the first derivative of 5/8*v**w + 1/2*v**3 + 2*v - 3*v**2 - 35. Factor s(o). (o - 1)*(o + 2)*(5*o - 2)/2 Factor 2/3*a - 140/9 + 2/9*a**2. 2*(a - 7)*(a + 10)/9 Let z(s) be the first derivative of s**6/6 + 56*s**5/5 + 1048. Determine j, given that z(j) = 0. -56, 0 Let l = -55 - -79. Suppose l + 16 = 10*i. Determine y, given that -2660*y**i + 2658*y**4 + 0*y**3 + 12*y**3 = 0. 0, 6 Let s(m) be the first derivative of 56 - 4/25*m**5 - 32/5*m**3 - 8/5*m**4 - 64/5*m**2 - 64/5*m. Find b, given that s(b) = 0. -2 Let o = 840308 - 840306. Factor 1 - 1/3*g**o + 2/3*g. -(g - 3)*(g + 1)/3 Let u = 2125/42 - -955/42. Determine g so that u*g**2 - 14/3*g**3 - 832/3*g - 256/3 = 0. -2/7, 8 Let x be (-150)/(-19) + -8 - 87465/(-76). Let z = x - 1150. Factor -z*f**2 + 0*f + 3/4. -3*(f - 1)*(f + 1)/4 Let j(d) = 3*d**2 - 3*d - 8*d**3 + 0 - 11*d**2 + 3. Let q(i) = i**3 + i**2 + i - 1. Let r(z) = j(z) + 3*q(z). Let r(s) = 0. What is s? -1, 0 Let v(i) be the first derivative of -5*i**4/4 - 74*i**3/3 + 285*i**2/2 - 54*i + 6868. Factor v(w). -(w - 3)*(w + 18)*(5*w - 1) Let i(b) = -131*b**3 + 1185*b**2 + 82*b - 8. Let t(c) = -785*c**3 + 7105*c**2 + 490*c - 50. Let p(a) = -25*i(a) + 4*t(a). Factor p(l). 5*l*(l - 9)*(27*l + 2) Factor -2/17*s**3 + 74/17*s**2 + 1440/17 + 688/17*s. -2*(s - 45)*(s + 4)**2/17 Let i(s) be the second derivative of -1/90*s**6 + 4/9*s**3 + 1/6*s**4 + 0 + 0*s**5 - 5/2*s**2 + 17*s. Let g(n) be the first derivative of i(n). Solve g(k) = 0. -1, 2 Let y(h) = -11*h**3 - 26*h**2 + 111*h - 192. Let o(c) = -31*c**3 - 77*c**2 + 334*c - 571. Let i(d) = -6*o(d) + 17*y(d). Suppose i(s) = 0. Calculate s. 2, 9 Let -310*b - 2/3*b**3 - 932/3*b**2 + 0 = 0. Calculate b. -465, -1, 0 Let y = 181 + -190. Let o(j) = j**2 + 16*j + 63. Let g be o(y). Solve g + 8/9*c - 10/9*c**3 + 16/9*c**2 = 0 for c. -2/5, 0, 2 Factor 0*s + 0 - 60*s**2 - 2/5*s**4 - 302/5*s**3. -2*s**2*(s + 1)*(s + 150)/5 Let c(z) = 4*z**2 - 63*z + 47. Let o be c(15). Factor 23*f**o + 16*f + 29*f**2 - 16 + f - 53*f**2. -(f - 16)*(f - 1) Suppose 8 = -22*k + 26*k. Determine a, given that -27*a**2 + 12 - 1175*a**3 + 16*a**4 - 1178*a**3 - 21*a**k + 14*a + 2359*a**3 = 0. -2, -3/8, 1 Let k = 3833 + -3833. Let i(f) be the first derivative of 0*f - 4/7*f**2 + 0*f**3 - 1/21*f**6 + 5/14*f**4 + 22 + k*f**5. Determine p so that i(p) = 0. -2, -1, 0, 1, 2 Let x(d) be the second derivative of d**5/170 + 3*d**4/34 + 2*d**3/17 - 16*d**2/17 - 1256*d. Factor x(m). 2*(m - 1)*(m + 2)*(m + 8)/17 Let i(x) be the third derivative of x**6/24 + 15*x**5/2 - 635*x**4/8 - 1175*x**3/3 - 2707*x**2. What is c in i(c) = 0? -94, -1, 5 Determine v, given that -291*v**3 + 294*v**3 - 105*v + 147*v**2 - 108*v + 108 - 45*v**2 = 0. -36, 1 Let s(d) = -3*d**3 - 2 + 157*d - 324*d + 154*d - 6*d**2. Let n(o) = -4*o**3 - 6*o**2 - 14*o. Let b(r) = -2*n(r) + 3*s(r). Factor b(c). -(c + 1)*(c + 2)*(c + 3) Let y(n) be the first derivative of 2*n**5/5 - 55*n**4/2 + 726*n**3 - 9317*n**2 + 58564*n + 1572. What is s in y(s) = 0? 11, 22 Let z(w) be the second derivative of 11*w**6/10 + 49*w**5/2 + 275*w**4/4 + 70*w**3 + 26*w**2 - 18*w - 28. Solve z(p) = 0 for p. -13, -1, -2/3, -2/11 Suppose -34*r**4 + 11*r**4 + 37*r**5 - 138*r - 191*r**2 + 8 + 101*r
{ "pile_set_name": "DM Mathematics" }
+ c**4 + 0*c + 2*c + c + 0*c**3 - 8 + 8*c**3 wrt c. 12*c**2 + 48*c Let g(j) = -21*j**4 - 3*j**3 + 141*j - 1. Let z(k) = -64*k**4 - 8*k**3 + 424*k - 3. Let q(c) = 8*g(c) - 3*z(c). What is the second derivative of q(r) wrt r? 288*r**2 Let g(a) be the second derivative of -a**8/420 - a**4/6 + 7*a**3/6 + 4*a. Let t(i) be the second derivative of g(i). Find the first derivative of t(z) wrt z. -16*z**3 What is the third derivative of -60 - 65 - 221*n**2 - 292*n**6 - 7*n**2 + 185 - 59 wrt n? -35040*n**3 Let p(a) = 557*a**3 - 167*a**2 - 5*a - 11. Let j(k) = -279*k**3 + 84*k**2 + 3*k + 6. Let z(q) = -5*j(q) - 3*p(q). Find the third derivative of z(b) wrt b. -1656 Let h(u) = 3*u - 10. Let b be h(14). Let d = b + -29. What is the first derivative of -2 - x**3 - 2*x**d - 2*x**3 + 8 wrt x? -15*x**2 Suppose -2*u + 4*y - 1 = -17, 0 = -y - 3. What is the third derivative of 13*n**2 + 6*n**u + 4*n**6 - 9*n**2 wrt n? 480*n**3 Let l(r) be the first derivative of 271*r**5/5 + 89*r**3 - r**2 - 525. Find the third derivative of l(s) wrt s. 6504*s Differentiate -349 - 97*a**2 + 16*a**2 + 409 with respect to a. -162*a Find the first derivative of 96*d - 12 - 33 - 16 wrt d. 96 Let q(h) be the third derivative of -17*h**4/6 - 30*h**3 - 23*h**2. Differentiate q(t) wrt t. -68 Let p(r) be the third derivative of -2*r**2 + 0*r**6 + 0*r**4 + 0*r**7 + 0 + 1/48*r**8 + 0*r**3 + 3/20*r**5 + 0*r. Find the third derivative of p(v) wrt v. 420*v**2 Let i be 42/8 - (-2)/(-8). What is the second derivative of 0*b**5 + 81*b - 74*b - 20*b**i wrt b? -400*b**3 What is the second derivative of -77*t**4 - 5*t + 77*t**4 + 216 + 4*t - 791*t**5 wrt t? -15820*t**3 Differentiate -2*n - 85 - 32*n**4 - 148 + 0*n - 20*n**4 - 261 with respect to n. -208*n**3 - 2 Let w(k) = -35*k**3 - 30*k + 5. Suppose 24*s = 20*s - 16. Let x(f) = 36*f**3 + 31*f - 4. Let p(r) = s*w(r) - 5*x(r). Find the second derivative of p(b) wrt b. -240*b Let m(n) = -111*n**3 + 5*n**2 + 5*n + 195. Let j(h) = 334*h**3 - 14*h**2 - 14*h - 586. Let p(z) = -5*j(z) - 14*m(z). What is the derivative of p(u) wrt u? -348*u**2 Let j be (-32)/(-10) + (-16)/(-20). Suppose 2*o - 3*g + j = -3, 2*g = 10. Find the second derivative of 5*n - 5*n**4 + 3*n**o + n**4 + 4*n**4 wrt n. 36*n**2 Suppose 7*s = 2*s + 20. Let p(h) = -h**3 - 7*h**2. Let t be p(-7). Find the third derivative of t + 4*d**3 + 0 - s*d**2 + 12*d**2 wrt d. 24 Let d(k) be the second derivative of 40*k**4/3 - k**3 - 171*k. What is the second derivative of d(a) wrt a? 320 Let x(c) = -51*c**3 + 10*c**2 - 5*c - 212. Let u(z) = -51*z**3 + 12*z**2 - 6*z - 214. Let y(q) = -5*u(q) + 6*x(q). Differentiate y(a) wrt a. -153*a**2 Let v(n) be the third derivative of 133*n**4/24 + 26*n**3/3 - 3*n**2 + 19*n. What is the first derivative of v(w) wrt w? 133 Let y be ((-5)/(-10))/(1/8). Let c(z) be the first derivative of 0*z + 0*z**5 + 0*z**y - z**6 + 0*z**3 + 3 + 3/2*z**2. Find the second derivative of c(p) wrt p. -120*p**3 Let u(v) be the first derivative of 51*v**2 - 27*v + 50. What is the first derivative of u(x) wrt x? 102 Suppose -6*x + 147 = 129. Differentiate -p + 3 - 480*p**x + 448*p**3 - 9 with respect to p. -96*p**2 - 1 Let y(v) = 9*v + 56. Let f(j) = 9*j + 61. Let s(q) = -6*f(q) + 7*y(q). Differentiate s(b) with respect to b. 9 Let u(y) = y**3 + 15*y**2 - 16*y - 3. Let l be u(-16). Let k be 6/4*(-28)/l. Find the third derivative of -3*m**2 - 6*m**2 - 6*m**6 + k*m**2 wrt m. -720*m**3 Let w(k) = -k**3 - 23*k**2 - 23*k - 20. Let p be w(-22). Suppose -j + 3 = -3. What is the third derivative of -t**4 - 6*t**4 + j*t**4 + p*t**2 - t**4 wrt t? -48*t Differentiate -29*x**2 - 55 - 21*x**2 - 2*x + 93*x**2 - 32*x**2 with respect to x. 22*x - 2 Find the third derivative of 7788*s - 7788*s - 908*s**2 - 359*s**5 wrt s. -21540*s**2 Find the second derivative of 25*x**3 + 79*x - 13*x**2 + 14*x**2 + 349*x wrt x. 150*x + 2 Let k(o) = -25*o**4 - 4*o**3 - 3*o + 91. Let r(m) = 2*m**4 - 2*m**3. Let f(c) = k(c) - 2*r(c). Find the second derivative of f(z) wrt z. -348*z**2 Find the second derivative of -515*w**3 + 0*w - 41*w**3 + 45*w**3 + 93 + 0*w - w wrt w. -3066*w Let n(i) be the first derivative of 13*i**8/840 + 3*i**4/4 - 32*i**3/3 - 9. Let x(y) be the third derivative of n(y). Differentiate x(f) wrt f. 104*f**3 Let n(q) = -8*q + 4*q**2 + 4 - q**3 - 6*q**2 + 0*q**3 - 7*q**2. Let p be n(-8). What is the second derivative of 0*w**2 - p*w + 0*w**2 - 3*w**2 + 7*w wrt w? -6 Let t(j) = 86*j**2 - 6*j - 67. Let s(h) = -85*h**2 + 9*h + 66. Let q(n) = 2*s(n) + 3*t(n). What is the first derivative of q(x) wrt x? 176*x Let h be (-5)/(-4)*(-3)/5*-4. Find the second derivative of f**h + 10*f - 2*f**3 + 2*f**3 wrt f. 6*f Let z(a) = 6*a - 18 + a - 3*a + 1. Let t be z(7). Differentiate 11*w - t*w - 12 + 2 + 7*w**2 with respect to w. 14*w Let u(c) be the second derivative of 83*c**4/12 + 125*c**2/2 - 117*c. What is the first derivative of u(h) wrt h? 166*h Let p(d) be the third derivative of 223*d**6/40 - d**5/60 - 155*d**4/24 - 3*d**2 - 40*d. Find the third derivative of p(j) wrt j. 4014 Let a be ((-5)/(-10))/(-1) - 9/(-2). Differentiate 3 - 37*v**4 + 48*v**4 - a with respect to v. 44*v**3 Let p(z) be the first derivative of -z**5/5 + z**4/4 - 40*z + 12. Differentiate p(u) with respect to u. -4*u**3 + 3*u**2 Differentiate -202 + k - 15 + 38 - 91 + k**2 wrt k. 2*k + 1 Suppose -a + 3*f = 6, -f - 3 = -3*a + 3. Suppose -u = -a*u. Find the third derivative of u + r**2 + 0 - 5*r**6 - 6*r**2 wrt r. -600*r**3 Let n(x) = 661*x**2 + 5*x - 9. Let j(z) = -661*z**2 - 7*z + 10. Let s(v) = 4*j(v) + 5*n(v). What is the second derivative of s(g) wrt g? 1322 Let x(t) be the second derivative of 2/5*t**6 + 0*t**2 - 11*t + 0 + 0*t**3 + 0*t**5 + 3/4*t**4. What is the third derivative of x(c) wrt c? 288*c Let p(o) be the first derivative of -2*o**7/7 + 3*o**4/2 - 4*o**3/3 + 4*o - 82. What is the third derivative of p(u) wrt u? -240*u**3 + 36 Find the second derivative of 3*w + 1 - 18*w**2 - 2 - 9*w - 51*w**2 wrt w. -138 Let w(j) = -13*j**3 + j**2 - 5*j - 93. Let d(p) = -p**2 + 3*p. Let s(m) = -d(m) - w(m). What is the derivative of s(x) wrt x? 39*x**2 + 2 Let a(d) = 20*d**5 - 2*d**3 - d**2 + 2*d. Let z(t) = -t**5 + t**3 - t. Suppose 5*v + 2 = 7. Let s(n) = v*a(n) + 2*z(n). Find the third derivative of s(u) wrt u. 1080*u**2 Let g(a) be the second derivative of 83*a**5/20 - 3*a**3/2 + 3*a**2/2 - 21*a - 3. What is the second derivative of g(t) wrt t? 498*t Let h(t) be the first derivative of 7/2*t**2 - 5*t + 5. Find the first derivative of h(d) wrt d. 7 Let p be -9 + 11 - 17/1. Let g = p + 26. Find the second derivative of -24 - 7*l + g*l**2 + 24 wrt l. 22 Let y(z) be the first derivative of -5*z**6/24 + z**5/10 - 19*z**2 - 10. Let d(p) be the second derivative of y(p). Find the third derivative of d(q) wrt q. -150 Let d(t) = 703*t**4 + 4*t**3 - 8*t**2 + 6*t + 92. Let p(s) = -s**4 + s**3 - 2*s**2 + s + 1. Let k(u) = d(u) - 4*p(u). Find the second derivative of k(q) wrt q. 8484*q**2 Let c(k) be the first derivative of 3/2*k**4 - 10 + 0*k + 0*k**3 + 9*k**2. What is the second derivative of c(a) wrt a? 36*a Let w(r) = -4*r**2 - r - 1. Let v(m) = 100*m**2 + 5*m - 28. Let s(o) = -v(o) - 4*w(o). What is the first derivative of s(u) wrt u? -168*u - 1 Let w(d) be the second derivative of -369*d**5/10 - 55*d**2/2 + 2*d + 230. What is the derivative of w(l) wrt l? -2214*l**2 Let q be (-1)/(-5) - 168/(-60). What is the first derivative of -q - 3 - 2*g**3 - g**3 - 17 wrt g? -9*g**2 Let p(c) = -c**5 + c**2 + 1. Let m(v) = 5*v**5 + 18*v**3 + 243*v**2. Let t(j) = m(j) + 2*p(j). What is the third derivative of t(k) wrt k? 180*k**2 + 108 Let r(s) = -s**2 - 14*s - 23. Let c be r(-11). Find the third derivative of -62*z**2 + c*z**3 + 15*z**2 - 5*z**3 + 22*z**2 wrt z. 30 Let u be 2*((-43)/(-6))/(8/24). Differentiate 0*h**2 - 21*h**3 - 27 - 2*h**2 + u*h**3 - 34*h**3 with respect to h. -36*h**2 - 4*h Let l(u) be the first derivative of 160*u**3/3 - 111*u**2 + 84. What is the second derivative of l(y) wrt y? 320 Suppose 0 = 38*d - 64 - 126. Let f(c) be the third derivative of -11*c**2 + 0*c - 3/20*c**d + 0 + 0*c**3 + 1/8*c**4. Find the second derivative of f(g) wrt g. -18 Let x(g) = -2*g**2 - 24*g + 15. Let m be x(-12). What is the first derivative of 11 + 8 + m*
{ "pile_set_name": "DM Mathematics" }
itre in millilitres? 240 What is 1/20 of a decade in months? 6 What is 847605.2ng in grams? 0.0008476052 How many seconds are there in 1/45 of a week? 13440 Convert 66818.94 weeks to days. 467732.58 How many centimeters are there in 1/20 of a kilometer? 5000 What is 3.3764458 days in weeks? 0.4823494 Convert 888.9635 millennia to decades. 88896.35 How many millimeters are there in 27.1262m? 27126.2 How many nanometers are there in 3/50 of a millimeter? 60000 Convert 58555.58 litres to millilitres. 58555580 What is 24656.9373 microseconds in days? 0.00000028538121875 What is 85882.4 micrometers in nanometers? 85882400 How many kilograms are there in 3210.365ug? 0.000003210365 Convert 0.3725643ml to litres. 0.0003725643 How many millilitres are there in 17/4 of a litre? 4250 How many centuries are there in 0.8379791 decades? 0.08379791 How many micrograms are there in 6.833033 milligrams? 6833.033 What is 149083.3ml in litres? 149.0833 How many nanometers are there in thirteen quarters of a micrometer? 3250 What is fourty-five quarters of a microgram in nanograms? 11250 What is nine sixteenths of a minute in milliseconds? 33750 What is 1.090488 litres in millilitres? 1090.488 How many microseconds are there in 218530.2 minutes? 13111812000000 What is 8498676.6 nanoseconds in hours? 0.0000023607435 How many litres are there in 2717.411ml? 2.717411 What is 3476.053 minutes in seconds? 208563.18 What is 13.74007 weeks in minutes? 138499.9056 How many millilitres are there in eleven quarters of a litre? 2750 Convert 3.441568 weeks to seconds. 2081460.3264 How many millimeters are there in twenty-five quarters of a meter? 6250 What is 20.2666185 milliseconds in days? 0.00000023456734375 How many milligrams are there in 9754.377 micrograms? 9.754377 What is 319.2723 millilitres in litres? 0.3192723 What is 1/63 of a week in minutes? 160 What is twenty-nine halves of a millimeter in micrometers? 14500 Convert 8.619318 nanometers to micrometers. 0.008619318 What is thirty-two fifths of a decade in years? 64 What is 17/4 of a millisecond in microseconds? 4250 Convert 0.9586277 days to seconds. 82825.43328 How many milliseconds are there in one fifth of a minute? 12000 What is 3617.127 minutes in hours? 60.28545 How many grams are there in 0.1928856 nanograms? 0.0000000001928856 How many millilitres are there in 7195.718 litres? 7195718 What is twenty-one fifths of a century in months? 5040 What is 2/21 of a week in minutes? 960 What is 60.34768 years in months? 724.17216 What is seven quarters of a gram in milligrams? 1750 Convert 13.75007 weeks to seconds. 8316042.336 Convert 0.2644302 weeks to microseconds. 159927384960 Convert 4.483556 days to microseconds. 387379238400 What is 3918.35s in milliseconds? 3918350 How many millilitres are there in nine tenths of a litre? 900 What is 42731.48 hours in microseconds? 153833328000000 How many microseconds are there in seven eighths of a millisecond? 875 How many kilograms are there in 810137.8 tonnes? 810137800 What is 1.731789um in millimeters? 0.001731789 Convert 21356.72kg to milligrams. 21356720000 How many micrograms are there in 19.4159 nanograms? 0.0194159 What is one fifteenth of a week in seconds? 40320 How many milliseconds are there in eight fifteenths of a minute? 32000 How many centimeters are there in 3987.13nm? 0.000398713 How many litres are there in 96451.2 millilitres? 96.4512 What is 4629.46 meters in micrometers? 4629460000 How many meters are there in three fifths of a kilometer? 600 Convert 436492.4 tonnes to grams. 436492400000 What is 1.253389mm in centimeters? 0.1253389 Convert 997.1886 milligrams to micrograms. 997188.6 Convert 31710.36 millennia to decades. 3171036 What is 3.037453kg in grams? 3037.453 What is twenty-one eighths of a kilometer in meters? 2625 What is seventeen tenths of a milligram in micrograms? 1700 What is 0.4105452g in milligrams? 410.5452 What is 4815.147 months in centuries? 4.0126225 Convert 54.15422 days to hours. 1299.70128 How many centuries are there in 90.83691 months? 0.075697425 How many months are there in 5/6 of a decade? 100 What is 122.2592 centuries in decades? 1222.592 Convert 276.453 months to years. 23.03775 What is 2081017.71 nanoseconds in days? 0.000000024085853125 How many months are there in five sixths of a century? 1000 How many millilitres are there in one tenth of a litre? 100 Convert 853.9143 decades to millennia. 8.539143 Convert 752766.2 millennia to months. 9033194400 How many seconds are there in 0.9298767 microseconds? 0.0000009298767 How many nanometers are there in 1.04316mm? 1043160 What is 27470.04 micrometers in kilometers? 0.00002747004 Convert 0.7879562m to micrometers. 787956.2 Convert 21446680.5 minutes to weeks. 2127.646875 What is 24.29948ug in kilograms? 0.00000002429948 Convert 5758.33 nanograms to kilograms. 0.00000000575833 Convert 561547.1 weeks to minutes. 5660394768 Convert 0.6187746 centuries to decades. 6.187746 What is 6814.934 nanometers in millimeters? 0.006814934 What is twenty ninths of a day in minutes? 3200 What is three tenths of a litre in millilitres? 300 How many milliseconds are there in 48.1016 minutes? 2886096 What is 81536.37 decades in years? 815363.7 What is 34.44113nm in kilometers? 0.00000000003444113 How many nanograms are there in 11/2 of a microgram? 5500 What is 327880.3 hours in milliseconds? 1180369080000 How many microseconds are there in 5.620586 weeks? 3399330412800 What is 6.136762 millennia in years? 6136.762 How many millimeters are there in one tenth of a kilometer? 100000 What is 4.036576 centuries in millennia? 0.4036576 What is seven sixths of a minute in milliseconds? 70000 What is 1/5 of a week in minutes? 2016 Convert 3466.144 kilograms to grams. 3466144 How many micrometers are there in 21/4 of a centimeter? 52500 How many millimeters are there in 52/5 of a centimeter? 104 How many litres are there in 903240.9ml? 903.2409 How many millimeters are there in 1/4 of a meter? 250 What is 463091.1 grams in tonnes? 0.4630911 How many nanograms are there in 1/20 of a microgram? 50 What is 3/25 of a micrometer in nanometers? 120 What is 1/4 of a litre in millilitres? 250 What is 27733.53 litres in millilitres? 27733530 Convert 0.7214373 litres to millilitres. 721.4373 How many millilitres are there in 9.04475l? 9044.75 What is seven halves of a meter in millimeters? 3500 What is 1/4 of a millennium in months? 3000 How many milligrams are there in 1/20 of a kilogram? 50000 What is 11/2 of a litre in millilitres? 5500 Convert 3.286648 millennia to years. 3286.648 What is 5/6 of a millennium in months? 10000 How many litres are there in 615.3304 millilitres? 0.6153304 How many months are there in 0.8653047 years? 10.3836564 How many micrometers are there in twenty-five quarters of a millimeter? 6250 How many grams are there in fifteen quarters of a kilogram? 3750 Convert 1.543314 kilograms to grams. 1543.314 How many centimeters are there in 91.83141um? 0.009183141 Convert 619248.3 litres to millilitres. 619248300 Convert 51895.3 years to millennia. 51.8953 How many micrometers are there in 37/5 of a centimeter? 74000 How many months are there in 401.2111 decades? 48145.332 What is 41044.41 decades in years? 410444.1 How many months are there in 3/10 of a millennium? 3600 How many millilitres are there in 13/5 of a litre? 2600 How many months are there in 51541.3 decades? 6184956 How many minutes are there in three fifths of a week? 6048 How many months are there in 21/8 of a decade? 315 What is twenty-five quarters of a decade in months? 750 What is 2/9 of a day in minutes? 320 What is 3/25 of a litre in millilitres? 120 How many millilitres are there in one tenth of a litre? 100 What is 43/2 of a year in months? 258 What is one fifth of a decade in months? 24 What is 0.2203159 centimeters in millimeters? 2.203159 How many seconds are there in seven eighths of a hour? 3150 What is seven halves of a meter in centimeters? 350 What is 18/5 of a millennium in years? 3600 What is 7/4 of a millennium in years? 1750 What is 21/2 of a century in decades? 105 What is 2596547.7 seconds in minutes? 43275.795 How many centuries are there in 865232.4 decades? 86523.24 How many seconds are
{ "pile_set_name": "DM Mathematics" }
t value? (a) -4332 (b) 3 (c) -1/2 (d) 0.2 (e) 0.5 (f) -4 d Which is the third biggest value? (a) 0.7 (b) -180/49 (c) -5/4 (d) 5/3 c Which is the fourth smallest value? (a) -0.04 (b) -11 (c) 0 (d) 3 (e) 0.5 e Which is the third smallest value? (a) -4/3 (b) 6/5 (c) -246731 b What is the smallest value in -1, 0.4, -8, -0.0729? -8 Which is the third biggest value? (a) -12 (b) -3 (c) 1/2 (d) 1/5 (e) -15 b What is the sixth biggest value in 0.34, -1/5, 1/16, 0.4, 1/3, 1? -1/5 What is the second smallest value in -3, 5, 3, 8, -178, 1? -3 What is the fourth biggest value in -0.11, -2, 3, -4.3? -4.3 What is the sixth biggest value in -2/5, 1/3, -3, 1/11, 2/7, -1/7? -3 Which is the second smallest value? (a) -125 (b) -0.688 (c) -2/29 b Which is the third biggest value? (a) 11/2 (b) -0.5 (c) 1 (d) -1/3 (e) -0.1 e What is the sixth biggest value in -1/6, 2/7, -9/5, -1, -0.5, -1/3? -9/5 Which is the smallest value? (a) -0.4 (b) 3.711 (c) -12 (d) 0 c What is the sixth biggest value in -9/5, -2, 3, 0.1, 1057, -1/3? -2 Which is the fifth biggest value? (a) -4 (b) -1 (c) 8/37 (d) 922 (e) 2 a What is the third smallest value in -0.8, -105, 3/2? 3/2 Which is the second smallest value? (a) -2 (b) -5 (c) 0.2 (d) -0.2 (e) -6 (f) 1/110 b Which is the second biggest value? (a) 208 (b) 10 (c) 2 b What is the second biggest value in 2, -0.9, 0, -384, 30? 2 Which is the third biggest value? (a) -1 (b) 1/896 (c) 1.1 a What is the smallest value in -64, 59, -1? -64 What is the fifth smallest value in 1/2, -0.2, -5, -0.07, -1/3? 1/2 What is the second smallest value in -0.3, 32, -1.955? -0.3 What is the biggest value in 4, 0.05, 6, 97, -2/13? 97 Which is the biggest value? (a) -2/9 (b) 0.9 (c) 1.07 (d) 0.144 c What is the biggest value in -85217, -1/5, -4? -1/5 What is the third smallest value in -0.4, 10/13, 5/4, 1/2, -1/9, 1.8? 1/2 Which is the sixth biggest value? (a) 2 (b) 0.5 (c) -0.16 (d) 5/2 (e) -62 (f) 3 e Which is the sixth smallest value? (a) -0.07 (b) -2/21 (c) 81/4 (d) 3 (e) -1/2 (f) 6 c Which is the third smallest value? (a) 2 (b) -134.33 (c) -1 a Which is the fifth smallest value? (a) 0.4 (b) -9 (c) -3/7 (d) 6/37 (e) 29 (f) 1/6 a Which is the second biggest value? (a) 15740/3 (b) 1/4 (c) 12 c Which is the biggest value? (a) 0.1 (b) 20/399 (c) 0.2 (d) -3 (e) 3 e What is the fourth biggest value in -50, 1, 0.5, 2/3? -50 What is the biggest value in 2/211, 4, -116? 4 Which is the third biggest value? (a) -8 (b) 1/3 (c) -4 (d) 1/154 c What is the second smallest value in -3.2, -0.01, -2/5, -21, 1? -3.2 Which is the biggest value? (a) -0.3 (b) 5/4 (c) 6 (d) -3.38 c Which is the fourth smallest value? (a) 4.4 (b) -1/2 (c) 0.2 (d) -389 (e) 0 c Which is the third smallest value? (a) -1155 (b) 5 (c) -2/11 (d) 0 (e) -0.5 (f) -0.4 f What is the fourth biggest value in 17/32, 1/11, -114, -2/7? -114 Which is the third smallest value? (a) -1/4 (b) 2 (c) 5110 (d) 3 (e) 0 b Which is the fourth biggest value? (a) 0 (b) -1665 (c) 2/9 (d) 1/4 b What is the smallest value in 1.45, -0.4, 3/5, -3/4, 0.07, -2? -2 What is the biggest value in 16, 2/25, 4, 5, -1/7? 16 Which is the smallest value? (a) -0.196 (b) 130 (c) 1/4 (d) -2 d What is the second smallest value in -247, -2, -9, -1/2? -9 Which is the third biggest value? (a) 49 (b) -0.151 (c) -31 c Which is the biggest value? (a) 0.3 (b) -4/5 (c) -88 (d) -2/19 a Which is the biggest value? (a) -7/4 (b) 5 (c) -37 (d) 2/7 b Which is the fourth smallest value? (a) -0.08 (b) 0.2 (c) -12/7 (d) -0.15 b What is the fifth smallest value in 1/3, 7, -2, 44, 27, 1/4? 27 What is the fourth smallest value in -0.3, 1/51, 0.1, 0.3, -1/9? 0.1 Which is the biggest value? (a) -227 (b) 3 (c) 558 c Which is the fifth biggest value? (a) -11 (b) 2/9 (c) 0.5 (d) -3 (e) 0 (f) -0.05 d What is the second biggest value in 0.2, -1/30, 4, -3/5, -0.7, 4/5? 4/5 Which is the second smallest value? (a) -0.4 (b) 60 (c) -370 a Which is the third smallest value? (a) -2/9 (b) 3/4 (c) 4.6 (d) -0.036 b Which is the fourth biggest value? (a) 17 (b) -4 (c) 3 (d) -45 (e) -2/11 (f) -0.4 f What is the second smallest value in -2/9, 306, 2, 0.4, -1, -1.8? -1 What is the fourth smallest value in 0, -2/3, 1/6, 464/19, 4? 4 What is the second smallest value in -4/5, -0.5, 8/3, 15.4? -0.5 Which is the smallest value? (a) 1/4 (b) -1/17379 (c) -0.1 (d) -13 d Which is the biggest value? (a) 705.4 (b) 3/2 (c) 1 (d) 4 a What is the second smallest value in 979, 0, 16? 16 Which is the fourth smallest value? (a) 27 (b) 0 (c) 0.4 (d) -0.05 (e) -2/11 (f) -0.07 b What is the second biggest value in 4, 3/7, -11771/16? 3/7 Which is the fourth biggest value? (a) 0.4 (b) 0.05 (c) -0.046 (d) 7 c Which is the fourth smallest value? (a) 11/6 (b) 1/489 (c) 0.2 (d) 1/8 (e) 2/7 (f) 2 e What is the fifth biggest value in -1/5, 0.5, -2, -1/15, -30? -30 Which is the smallest value? (a) -2/7 (b) 20 (c) -0.28 (d) 0.6 (e) -3 e Which is the sixth smallest value? (a) -5/2 (b) -1.4 (c) 1/5 (d) -1 (e) 0.7 (f) 16 f What is the second biggest value in 0, 98, -1, -13/6? 0 What is the smallest value in 2, 0.8, -3/5, -51, -0.3? -51 What is the smallest value in -4/5, -1/486, -2/27, -0.5? -4/5 Which is the third biggest value? (a) -2/9 (b) 26359 (c) 0.5 (d) 3 (e) -2 (f) -4 c What is the third biggest value in -1/9, 3/4, -9/4, -2/7, 3/2? -1/9 What is the third biggest value in -4/5, -20514, -5/3? -20514 What is the second biggest value in -2/11, 6, -57, -9489? -2/11 Which is the third biggest value? (a) -2213 (b) -6 (c) -1 a Which is the third biggest value? (a) -0.1 (b) -18168 (c) -1/4 b Which is the second biggest value? (a) 6/61 (b) -5 (c) 539 (d) 5 d Which is the third biggest value? (a) -14 (b) 193 (c) -1/2 (d) 0.1 (e) 0.2 (f) 1/3 e Which is the second biggest value? (a) -0.5 (b) -174 (c) -0.4 (d) 5 (e) -0.2 e What is the third biggest value in 3, -1.4758, -0.4, -0.2, -1, -2/17? -0.2 Which is the third biggest value? (a) 4 (b) 222/47 (c) 3/5 c Which is the second biggest value? (a) -1 (b) -5 (c) 5 (d) -0.05 (e) 0.037 e What is the biggest value in 125, 2/37, -6, -1, -3/4? 125 Which is the second biggest value? (a) 0.09 (b) 3/1583 (c) 1 a What is the smallest value in 11/7, -1, -6? -6 Which is the second smallest value? (a) -1/5 (b) -15761 (c) -2/55 (d) -4 d Which is the third biggest value? (a) 1.9 (b) 4/753 (c) 4 b What is the third smallest value in -4, 4, 32/3, 3/61? 4 Which is the smallest value? (a) -5 (b) -0.2 (c) -1/3 (d) 5.6 (e) 1007 a Which is the fifth smallest value? (a) -1/6 (b) -25 (c) 2 (d) 6/7 (e) 2/7 c Which is the third biggest value? (a) 4 (b) -0.3 (c) 0.2 (d) 43 (e) -65 (f) 0.02 c Which is the third smallest value? (a) -0.6 (b) 0 (c) -2 (d) 6 (e) -0.5 e Which is the third biggest value? (a) 2 (b) -2 (c) 8 (d) 7 (e) 1/25 a What is the second biggest value in -0.3, -109, 1.567? -0.3 What is the second biggest value in 1/24, -116, -6/11? -6/11 Which is the biggest value? (a) 0.4 (b) 0.5 (c) 6 (d) 1/14 (e) 0.3 c Which is the third smallest value? (a) -1/14 (b) 16 (c) 6 (d) 5/3 c Which is the second smallest value? (a) -0.1 (b) 10 (c) -4 (d) 4 (e) 1124 a What is the third biggest value in 17, -1, 0.08, -1/4, -3/2? -1/4 Which is the third smallest value? (a) 3/326 (b) 0.27 (c) -23 b Which is the third biggest value? (a) 3/2 (b) 17 (c) -1.01 (d) 4 (e) -4 (f) -4/5 a What is the fourth smallest value in -1.5, -3/5, -2/45, -4? -2/45 Which is the third biggest value? (a) 1 (b) -428 (c) -3 (d) -0.1 (e) -5 (f) -0.2 f Which is the third biggest value? (a) -5 (b) 1878 (c) -1 a Which is the second biggest value? (a) 1/2 (b) -3 (c) 0.32 (d) 2 (e) 6 d What is the fourth biggest value in -1/181, 1, -0.5, -4/5, -2? -4/5 Which is the second smallest value? (a) 0.04007 (b) -1/2 (c) 4 (d) 146 (e) 2/7 (f) 5 a What is the third biggest value in -4.4, 215, 7? -4.4 What is the second biggest value in -12, 0.2, 0, -6, -569, -3/4? 0 What is the biggest value in -0.3, -3/5, -4, 235? 235 What is the second smallest valu
{ "pile_set_name": "DM Mathematics" }
Let r(w) = -4*w**3 + 5*w**2 + 6. Let a(c) = 5*c**3 - 6*c**2 - 7. Determine k*a(t) + 7*r(t). 2*t**3 - t**2 Let y = 7 + -5. Let q be 0 + -1 - 6/(-2). Let a(f) = -q*f**2 + f**2 + y*f**2. Let w(i) = -2*i**3 + 10*i**2 + 2*i. What is -10*a(t) + w(t)? -2*t**3 + 2*t Let y(s) = s - 4. Let u(h) = 21 - 39 + 16. Let v(p) = -p**2 + p + 4. Let b be v(3). Calculate b*y(d) + 3*u(d). -2*d + 2 Let u(t) = 9 + 3*t - 11 - 3*t**2 - 4*t**2 + 5*t**2. Let x(n) = n**2 - n. Let z(f) = f**3 + f**2 - 1. Let c be z(1). Give c*u(i) + x(i). -i**2 + 2*i - 2 Let f(o) = 170*o + 51. Let w(x) = 17*x + 5. Give -5*f(b) + 51*w(b). 17*b Let a(l) = 4*l**2 - l + 5. Let c(j) = 13*j**2 - 4*j + 16. Give -7*a(s) + 2*c(s). -2*s**2 - s - 3 Let u(z) = z + 1. Let x(v) = 3*v + 6. Let o = 11 - 4. Let k = o + -8. Give k*x(t) + 4*u(t). t - 2 Let w(c) = 10*c + 7*c - 10*c. Let l(n) = 6*n + 1. Let a(i) = -5*l(i) + 4*w(i). Let x = 9 + -13. Let t(v) = 1. Determine x*t(k) - a(k). 2*k + 1 Let k(b) = b**3 + b**2 - b - 1. Let r(h) = -h**3 + 5*h**2 - 5*h - 5. What is -5*k(x) + r(x)? -6*x**3 Let r(q) = 1. Let f(z) = -z**3 - 4*z**2 - 2*z - 5. Let o be f(-4). Let w(a) = o*a + 2*a - 6*a + 4. Give 6*r(x) - 2*w(x). 2*x - 2 Let m(t) be the second derivative of -3*t**4/4 - 2*t**2 - 5*t. Let y(r) = 8*r**2 + 3. Determine -3*m(s) - 4*y(s). -5*s**2 Let w be 144/16*(-4)/6. Let i(o) = 9*o**3 - 11*o. Let b(d) = -d**3 - d. Let r(p) = 8*p**3 - 3*p. Let f(u) = 3*b(u) + r(u). Give w*i(k) + 11*f(k). k**3 Let i(d) = -8*d**2 - 11*d - 15. Let p(h) = -2*h**2 - 3*h - 4. Let u(n) = -n**2 + 7*n - 28. Let s be u(6). Give s*p(m) + 6*i(m). -4*m**2 - 2 Let w(t) be the second derivative of -4*t**3/3 + 3*t**2 - 2*t. Let p(m) = 7*m - 5. Let d = -16 - -22. Let q be ((-5)/(-4))/(1/4). What is d*p(o) + q*w(o)? 2*o Let y(d) = -5*d + 9. Let x be -18 - (3 - 2 - 1). Let m(w) = -w**3 + 5*w**2 + 2*w - 6. Let v be m(5). Let u(h) = 15 - 25 + 12 - h. What is v*y(g) + x*u(g)? -2*g Let n(d) = -8*d**3 - 2*d**2 + 3*d - 2. Let l(b) = -b**2 + b - 1. Calculate 4*l(q) - 2*n(q). 16*q**3 - 2*q Let b(w) = 5*w + 15. Let q(c) = -11*c - 31. Calculate -5*b(o) - 2*q(o). -3*o - 13 Suppose 3*c - 41 = 13. Let p(m) = 8*m + 9. Suppose 5*l - f + 5 = -0*f, l - 5*f + 25 = 0. Let b = l - 2. Let g(j) = j + 1. Give b*p(h) + c*g(h). 2*h Let a(c) = -c**3 + c**2. Let m(z) = -56*z**3 - 2*z**2. Give -2*a(i) - m(i). 58*i**3 Let w(h) = -h - 1. Suppose -5 = 2*t - 7*t. Suppose y - 4 = -t. Let i(x) = -x - 5. Calculate y*w(v) - i(v). -2*v + 2 Let m(a) = -a**3 + 6*a**2 - 8*a - 6. Let p(j) = 2*j**3 - 17*j**2 + 23*j + 17. Determine -17*m(t) - 6*p(t). 5*t**3 - 2*t Let q(u) = -7*u**2 - 3. Let f(o) be the second derivative of -2*o**4/3 - 2*o**2 + 23*o. Calculate -3*f(g) + 4*q(g). -4*g**2 Let c(w) = 2*w - 15. Let h(r) = 2*r - 15. Give -3*c(t) + 4*h(t). 2*t - 15 Let a(z) = -4*z - 3*z**3 - z**3 - 2 + z**3. Let n be 0 + -1*1 - 0. Let q(y) = 3*y**3 + 1 + y - 2*y**3 + 2*y**3 - 2*y**3. Calculate n*a(i) - 2*q(i). i**3 + 2*i Let s(v) = -1. Let h(z) = -3*z + 3. Let q(j) = -j**3 - 4*j**2 - 4*j - 2. Let r be q(-2). Calculate r*s(w) - h(w). 3*w - 1 Suppose -2*n - 17*n + 57 = 0. Let w(u) = 4*u**2 + 2*u + 5. Let c(z) = 8*z**2 + 3*z + 9. Calculate n*c(a) - 5*w(a). 4*a**2 - a + 2 Let f(z) = -2*z - 5. Suppose 3*a - 4*s - 1 = 0, 0*a - 4*s - 9 = 5*a. Let y = a + -2. Let o(h) = -h - 3. Calculate y*f(i) + 5*o(i). i Let g(f) = 17*f**2 - 6. Let i(v) = 220*v**2 - 77. Calculate -77*g(d) + 6*i(d). 11*d**2 Let z(d) = 6*d**3 - 6*d + 6. Let b(i) = i - 1. Give 6*b(k) + z(k). 6*k**3 Let j(v) = -13*v**2 + 5*v + 17. Let r(o) = 3*o**2 - o - 4. Calculate -2*j(c) - 9*r(c). -c**2 - c + 2 Let f(p) be the third derivative of -p**5/12 - p**4/24 + p**3/2 + 25*p**2. Let i(z) = 4*z**2 + z - 3. What is -3*f(g) - 4*i(g)? -g**2 - g + 3 Let j = 5 + 0. Let h(l) = -l**3 + 5*l**2 + 5. Let w(a) = 2 + 2*a**2 - 5 + 5. Suppose 5*b - 27 = y, y = 5*y - 4*b + 28. Give j*w(m) + y*h(m). 2*m**3 Let l(g) = g + 1. Let x = -5 + 6. Let v(a) = 4*a + 7. Give x*v(h) - 5*l(h). -h + 2 Let a(l) = 5*l**3 - 6*l**2 + 3*l. Let d(s) = -9*s**3 + 11*s**2 - 5*s + 1. Give -5*a(g) - 3*d(g). 2*g**3 - 3*g**2 - 3 Let c(b) = 18*b. Let q(s) = -9*s. Calculate -3*c(v) - 7*q(v). 9*v Let q(u) = -u**3 - 2*u**2 + u + 1. Let v(p) = 3*p**3 + 5*p**2 - p - 1. What is 5*q(s) + 2*v(s)? s**3 + 3*s + 3 Let x(w) be the third derivative of w**4/8 - w**2. Suppose -13 = 4*g - 5*d, -3*d + 0*d = 4*g - 27. Let k(l) = -2*l + g*l + l. Calculate -5*k(t) + 3*x(t). -t Let f(p) = p**2 + p + 1. Let k(a) = -8*a**2 - 3*a - 5. Calculate -5*f(i) - k(i). 3*i**2 - 2*i Let r(q) = -q**3 + 3*q - 3. Let v(j) = -8*j - 10*j + 2*j**3 + 11*j + 7. Calculate 14*r(u) + 6*v(u). -2*u**3 Let l(w) be the second derivative of 7*w**5/20 - w**4/12 - w**2/2 - 11*w. Let a(u) = -u**3 + u**2. Determine 5*a(k) + l(k). 2*k**3 + 4*k**2 - 1 Suppose 4*b + 4*a - 6 = 2, 0 = 5*b - 5*a - 20. Let j(t) = -7*t**3 + 2*t**2 - 3. Let f(n) = -13*n**3 + 4*n**2 - 5. Determine b*f(k) - 5*j(k). -4*k**3 + 2*k**2 Let g(u) = u**3 - u**2 + u + 1. Let m(h) = 30*h**3 - 8*h**2 + 10*h + 10. Give -10*g(s) + m(s). 20*s**3 + 2*s**2 Let d(v) = 3*v**3 + 2*v**2 - 2*v + 2. Suppose -b = -3*b, -4*f + 3*b = -8. Let l(q) = -7*q**3 - 5*q**2 + 5*q - 5. Determine f*l(c) + 5*d(c). c**3 Let t(l) = 2*l**3 - l**2 + 3*l + 8. Let z(h) = 3*h**3 - 2*h**2 + 4*h + 8. What is 4*t(g) - 3*z(g)? -g**3 + 2*g**2 + 8 Let w(b) = 2*b**3 - 5*b**2 + b. Let j(t) = -t**3 + t**2. Let l(k) = -3*j(k) - w(k). Let i(c) = 3*c**3 + 7*c**2 - 3*c - 1. Calculate -2*i(z) + 7*l(z). z**3 - z + 2 Let g(u) = -2*u**3 + 2*u**2 - 5*u + 11. Let w(t) = t**3 - t**2 + 2*t - 5. What is -2*g(o) - 5*w(o)? -o**3 + o**2 + 3 Let v(f) = f**2 + f - 1. Let i(d) = 5*d**2 + 4*d - 38. Determine -i(j) + 3*v(j). -2*j**2 - j + 35 Let k(r) = -r**2 - 1. Let m be (12/(-21))/((-2)/7). Let a(n) be the second derivative of -n**5/20 - n**4/12 - n**2 - 3*n. Determine m*k(j) - a(j). j**3 - j**2 Let z(d) = 4*d - 9. Let j(n) = 7*n - 17. Calculate 3*j(o) - 5*z(o). o - 6 Let b(s) = 5*s**2 + 2 + 10*s**3 + 6*s**3 + 5*s - 18*s**3. Let t(l) = -l**3 + 2*l**2 + 2*l + 1. What is 2*b(k) - 5*t(k)? k**3 - 1 Let v(k) = 4*k**2 - 5*k + 5*k - 6. Let d(i) = 7*i**2 - 11. Let c(a) = a**3 + 6*a**2 - 9*a - 1. Let o be c(-7). Suppose o - 2 = -g. What is g*v(x) + 6*d(x)? -2*x**2 Let s(f) = 5*f - 2. Let m(u) = u**2 + 21*u - 7. Let y(l) = 2*m(l) - 9*s(l). Let w(z) = -2*z**2 + 4*z - 5. What is -5*w(h) - 6*y(h)? -2*h**2 - 2*h + 1 Let g be 3 + -3*(-2)/(-3). Let a(h) = h - 4. Let u(y) = 1. Give g*a(t) + 2*u(t). t - 2 Let q(g) = -5*g**3 + 4*g**2 - 3*g. Let m(z) = 5*z**3 - 3*z**2 + 2*z. Calculate -3*m(h) - 2*q(h). -5*h**3 + h**2 Let r(q) = q + 8. Let u be r(-5). Let l(w) = u*w - w + 0 - 5. Let s(f) = 1. Let n(k) = k**3 + 9*k**2 - 11*k - 5. Let y be n(-10). Give y*s(h) + l(h). 2*h Suppose 4*c + 70 = 22. Let x(m) = 10*m - 2. Let d(a) be the third derivative of a**4/24 + a**2. What is c*d(r) + x(r)? -2*r - 2 Let d(c) = 19*c - 1. Let y(u) = -5*u. Determine -2*d(z) - 9*y(z). 7*z + 2 Let w(d) = -8*d - 5. Let v(p) = p + 1. Calculate -4*v(b) - w(b). 4*b + 1 Let t(j) = 7*j**2 - 9. Let n(g) = -3*g**2 + 5. Give 5*n(r) + 2*t(r). -r**2 + 7 Let k(p) = 46*p**2 - 26*p. Let t(v) = -45*v**2 + 27*v. Let c(n) = -6*k(n) - 5*t(n). Let f(a) = -4 - 2*a - 21*a**2 + 26*a**2 + 4. Calculate 2*c(q) + 21*f(q). 3*q**2 Let p(n) = 0 + 3 - 2 + n - 2*n. Let d(z) = -4*z + 6. Let r(s) = d(s) - 5*p(s). Let x(b) = -b - 1. Determine 2*r(j) + 3*x(j). -j - 1 Let x(z) be the second derivative of -z**3/6 + z**2/2 - 3*z. Let h(u) = 4. Let a = -7 + 14. Suppose -5*d = 5, 4*j + a - 1 = -2*d. Determine j*h(n) + 2*x(n). -2*n - 2 Let f = 3 - 16. Let d(v) = -4*v**2 - 5*v + 7. Let b(y) = 1 - 11*y + 5 + 9 - 9*y**2. Suppose 45 = 2*u + 3*u + 5*r, 0 = u + 5*r - 21. Calculate f*d(g) + u*b(g). -2*g**2 - g - 1 Let c(k) = 4*k - 2. Let g(j) = -7*j + 3. Suppose 10*o - 15*o = -95. Let q = -14 + o. What is q*c(d) + 3*g(d)? -d - 1 Let s(j) = 2*j**3 - 2*j**2 + 5*j. Let t = 3 + 0. Let o(m) = m - 2*m**3 - 5*m - 3*m**2 + 5*m**2. Let a = 11 + -7. Calculate a*o(y) + t*s(y). -2*y**3 + 2*y**2 - y Let b(h) = -8*h**2 + 5. Let l(i) = 9*i**2 - 4. Calculate 4*b(w) + 5*l(w). 13*w**2 Let s(d) = -d**3 + 4*d - 1. Let o(c) = -c**3 + 7*c - 2. Calculate -3*o(t) + 5*s(t). -2*t**3 - t + 1 Let c(t) = 5. Let j(l) = -l - 11. Determine 5*c(n) + 2*j(n). -2*n +
{ "pile_set_name": "DM Mathematics" }
/13 + 16 + (-2520)/182. Let p(z) = 10722 - 10721 - h*z + 6*z. Determine p(-3). -11 Let b(o) = -o**2. Let i(c) = 8. Let x(m) = -2*b(m) - i(m). Suppose 24*p + s = -81, 0 = -p - s + 11 - 23. What is x(p)? 10 Let u(l) = 57*l**2 + 16*l - 62. Let w(a) = 556*a**2 + 159*a - 621. Let r(c) = -39*u(c) + 4*w(c). Give r(-19). 67 Suppose u - 6*u + 15 = 0. Let q(d) = 3 + d**2 - 1 - 5*d**2 + d + 2*d**2 - 5. Calculate q(u). -18 Let p(y) = -y**3 + 7*y**2 - 10*y + 8. Let q(t) = 6*t**2 - 137*t + 116. Let r be q(22). Calculate p(r). -16 Let h(k) be the third derivative of -k**5/60 + k**4/24 - 2*k**3 - 280*k**2 + 6*k - 2. What is h(-4)? -32 Let p(s) = -s**3 + 7*s**2 - 6*s + 9. Let b be (-100)/(-18) - ((-1290)/(-135) + -10). Calculate p(b). 9 Let h(b) = -113*b**3 - 34*b**2 + 24*b + 129. Let q(a) = 22*a**3 + 7*a**2 - 5*a - 25. Let i(j) = 6*h(j) + 31*q(j). Give i(1). 5 Let u be (10/4)/(1255/(-2008)). Let k(j) = -j**3 - 13*j**2 - 37*j - 5. Determine k(u). -1 Let l(d) = d**3 - 4*d**2 + d + 3. Suppose 9*g + q - 274 = 13*g, 4*g + 3*q + 282 = 0. Let v(n) = 3*n**2 - 6*n. Let b be v(6). Let t = b + g. Calculate l(t). -3 Let m(o) = -3*o + 49. Let p = -11573 - -11588. Determine m(p). 4 Let g(v) be the first derivative of v**5/30 + v**4/3 + v**3 - 34*v**2 + 309. Let q(y) be the second derivative of g(y). What is q(-3)? 0 Let u = -107 + 109. Let z(w) = -23 - 6*w**u + 44 - 23 - w**3 + 2*w. Calculate z(-6). -14 Let o(s) be the second derivative of -s**3/6 + 9*s**2/2 + s. Let n be (5*10/25)/((-462)/(-1617)). Determine o(n). 2 Suppose u - d = 9, 6*u = u - 4*d + 72. Let w be (-1 - u/(-3))*(41 - 0). Let c = -118 + w. Let x(t) = -2*t - 2. Give x(c). -12 Let h(n) = 5*n**2 - 2*n - 103. Let i be h(5). Let m(c) = c**3 - 13*c**2 + 23*c - 127. Calculate m(i). 5 Suppose 4*w - 4*q = 36, -3*w - 4*q + 246 = 240. Let x(f) = -2*f**3 + 12*f**2 + 6*f - 5. What is x(w)? 31 Let y(c) = -2*c. Let x(z) = 4*z + 19. Let g(p) = 13*p + 59. Let o(h) = 2*g(h) - 7*x(h). Let l be o(-6). Calculate y(l). 6 Suppose 0 = -5*m + 2*v + 16, -m + 3 = -4*v - 11. Let w(c) = c**3 - 12*c + 9*c + 6*c**m - 4 - 6*c. Suppose -2*n - 4 = 2*j, -6*n + 5*j = -8*n + 11. Give w(n). 10 Let q(m) be the first derivative of m**3/3 + 33*m**2/2 + 75*m + 1083. Determine q(-30). -15 Suppose -31 = 2*g - 33. Let q(p) be the second derivative of 17*p**3/3 - 39*p + 4. Determine q(g). 34 Let k(l) = -l**2 - 28*l - 195. Let i be k(-15). Let y(o) = 4*o - 41 - 3*o - 38 - o**3 + 77. What is y(i)? -2 Let y(g) = -3*g**2 + 1. Let a be 10/8 - (-49)/(-196). Let i be (-1)/a*15/15. What is y(i)? -2 Let v(w) = 646*w - 8 - 326*w - 321*w. Let f(s) = -s**2 + s - 7. Suppose -h = 6*h. Let u be f(h). Determine v(u). -1 Let r(y) = 1 + 19*y + 4*y - 3. Let t(l) = -l**3 - 26*l**2 - 91*l - 68. Let j be t(-22). Determine r(j). -48 Let u = 260 + -254. Let g(o) = 3*o**2 + 26 - 23 - 4*o**2 + u*o. Determine g(6). 3 Let t = -29 - -19. Let c = t - -13. Let b(q) = 0*q**2 + 3*q**2 + 4*q**2 + c - 2. Determine b(1). 8 Let a(f) = -16*f**3 + 2*f**2 - 5*f - 1. Suppose 3 = -12*p - 21. Let h(z) = 3*z**3 + z. Let b(d) = p*a(d) - 11*h(d). Determine b(-4). 6 Let d(c) = 2*c**3 + 6*c**2 + 5*c + 4. Let y(g) = -3*g**2 + 3*g + 2. Let v be y(2). Calculate d(v). -48 Let u(y) = y**3 - 4*y**2 - 4*y - 7. Let m = 4141 + -4136. Determine u(m). -2 Let v(f) be the second derivative of -1/20*f**5 - 3/2*f**2 + 0 - 7/12*f**4 - 2*f + 1/6*f**3. Let u(r) = r - 11. Let t be u(4). What is v(t)? -10 Let r(d) = 9*d - 7. Let x(p) = -2*p. Let w(k) = r(k) + 5*x(k). Let a(y) = -y**2 + 9*y - 14. Let u be a(7). Let i be (2 + 1)*(-2 + u). Calculate w(i). -1 Let r(j) = 3*j - 17. Suppose -2*k - b - 10 = 0, 4*k - 2*b - b + 10 = 0. Let q be (-25)/k + -1*(-9)/(-36). Determine r(q). 1 Let z(p) = 39*p**3 - p**2. Let n be 14/35 - ((-1993)/5 - 3). Let f = 403 - n. Determine z(f). 38 Let v(n) = n**3 + 8*n**2 - n - 5. Suppose -t + 0*t = 1, -4*t = -2*i - 12. Let b be v(i). Let f(y) = -y - 1. Calculate f(b). -4 Suppose 67 = y + 2*i, i = 4*y + 2*i - 261. Let p(c) = -1 - 2 - y*c + 0 + 68*c + 3*c**2. Calculate p(-3). 15 Suppose -t = -8*t + 14. Let f(x) = -3*x**t + 0*x**3 + 6*x + 1139 - x**2 - x**3 - 1141. Determine f(-5). -7 Suppose 4078 = 20*n + 3918. Let r(w) be the second derivative of -w**5/20 + 3*w**4/4 - 7*w**3/6 - 19*w**2/2 - 2*w. What is r(n)? -11 Let z(d) = -9*d + 9. Let m(q) = -5*q + 5. Let j(k) = 5*m(k) - 3*z(k). Let i(b) = b**3 + 5*b**2 + 5*b + 1. Let w be i(-4). Give j(w). -8 Let o be ((-12)/(-5))/(6/15). Let t(m) = -1. Let r(a) = -2*a**2 - 12*a + 3. Let n(u) = o*t(u) + r(u). Calculate n(-6). -3 Let m(g) = -g**2 + 4*g + 9. Let d(l) = -2*l**2 + 9*l + 17. Let v(q) = -4*d(q) + 7*m(q). Let r(y) = -28*y - 778. Let x be r(-28). Give v(x). -17 Let z(v) = 2*v**2 + 1. Suppose 0*x - 2*x + y = -98, 0 = -5*x - y + 252. Let a be ((-1)/(-2))/((-25)/x). Give z(a). 3 Suppose 0 = 5*o - 2*n - 10 - 1, -4*o = -2*n - 8. Suppose 0 = -5*x - 0 + 10. Let q(v) = -212 + 0*v**x + 210 - v**2 - 3*v + v**3. Give q(o). 7 Let b(d) be the second derivative of -d**3/3 + 19*d**2 - 136*d + 1. Give b(15). 8 Let l(f) = f**3 - 9*f**2 + 9*f + 7. Suppose -3*m = -8 - 1, 0 = 2*b + 5*m - 67. Suppose 0 = -5*w + 3*w - 2*t + b, 0 = -t + 5. Calculate l(w). 15 Let x = 82 - 80. Let t be (-422)/(-4) + x - 12/(-24). Let y(k) = 2 - 106*k**2 + 212*k**2 - k - t*k**2. Give y(-3). -13 Let z(t) = 6*t**2 + 17*t + 1. Let b be z(-3). Let a(h) = -h + 23. Let q(m) = -13. Let c(n) = b*a(n) + 7*q(n). What is c(7)? -27 Let x(p) be the first derivative of p**3/3 + 13*p**2/2 + 7*p - 4317. Determine x(-8). -33 Let y(j) = 3*j - 10. Let o(l) = l - 3. Let r(q) = -7*o(q) + 2*y(q). Let c be r(-1). Let b(s) = 5*s**2 - 3*s + 2. What is b(c)? 16 Let f(r) be the first derivative of -r**3/6 + 3*r**2/2 - 35*r - 43. Let c(v) be the first derivative of f(v). What is c(5)? -2 Let c = 223 - 223. Let x(r) be the third derivative of c + 1/60*r**5 - 5*r**2 + 0*r**4 + 19/6*r**3 + 0*r. Give x(0). 19 Suppose 0 = -5*f + 9*f - 2*d + 18, -2*d = 4*f + 30. Let t(p) = 2*p - 16. Let i(l) = 5*l - 33. Let s(b) = f*i(b) + 13*t(b). What is s(-4)? 6 Let y(t) = t - 6. Let o(f) = -2*f**3 + 11*f**2 + 6*f + 15. Let p be o(6). Suppose -p = 13*k - 171. Calculate y(k). 6 Let b(c) be the second derivative of 5*c**4/12 + c**3/6 - c**2 - 1960*c. Calculate b(1). 4 Let y = -75 + 105. Suppose 4*i + q - 24 = 0, -4*i - i - q = -y. Let j(u) = -4*u + u**2 - i + 0 + 4 - 2. Determine j(5). 1 Suppose 3*n = 2*d - 7, d = -2*d - 5*n + 39. Suppose -28 = -d*f + 4. Let g(i) = -5*i. Give g(f). -20 Let g = -3829 - -3833. Let b(c) = -3*c**2 - 2*c - 10. Determine b(g). -66 Let u(c) = -c**3 + 4*c**2 - 4*c + 3. Let j be (11 + -13 + 9)*20/7. Suppose -36 = -32*l + j*l. Calculate u(l). 0 Suppose 5*p + 7 = -4*s, -5*p - 4*s + 3*s = 13. Let g(j) = -5*j - 3. Let b be g(p). Let c(u) = 5*u**2 - u**3 + b - 114*u + 121*u - 4. Give c(6). 14 Let k = -18 + 25. Let q(n) = -n**3 + 8*n**2 - 14*n - 6. Let w be q(4). Let v(x) = 5*x**3 - k*x**w + 2*x**3 - 9*x**3 + x + 3*x**3 - 9. Give v(7). -2 Let x(i) be the second derivative of 0 + 5/2*i**2 - 1/6*i**3 + 33*i. What is x(9)? -4 Suppose 0 = -28*i + 24*i + 456. Let t = i + -80. Let v = t - 41. Let g(r) = -r - 3. Give g(v). 4 Let a(b) = -29*b**2 - 4*b + 22. Let o(c) = 6*c**2 - c - 2. Let d(s) = a(s) + 5*o(s). What is d(4)? -8 Let c(i) = -248*i - 195. Let r(o) = 88*o + 65. Let w(x) = 6*c(x) + 17*r(x). Calculate w(9). 7 Let x(h) = 261*h + 229*h + 14*h**2 - 459*h + 3*h**3 - 2*h**3 - 2*h**3 + 13. What is x(16)? -3 Let u(g) = -g**2 + 12*g + 95. Let p(m) = -29*m + 75. Let j be p(2). Determine u(j). 10 Let w(r) = -r**2 - 8*r - 16. Suppose 0 = 2*h + 4*p + 54, 2*h - 11*p + 13*p = -40. What is w(h)? -81 Let g = -2 - -2. Let s(t) be the second derivative of t**4/12 + t**3/6 + 5*t**2/2 + t + 56. Give s(g). 5 Let q(t) = -13*t**3 + t**2 + 141*t + 140. Let m be q(-1). Let s(n) = -9*n + 129. What is s(m)? 12 Let u(x) be the first derivative of 7*x**2/2 + 75*x + 3170. What is u(-8)? 19 Let j(c) be the third derivative of -c**6/120 - 11*c**5/60 + c**4/4 + c**3 - 1378*c**2 + 2*c. What is j(-11)? -60 Let y(z) = 28*z + 2061. Let x be y(-73). Let u(k) = k**3 - 17*k**2 - k + 11. What is u(x)? -6 Let p(s) = 11*s**2 + 2*s + s**3 - 2 - 20*s**2 + 0*s + 14*s**2 + 9. Determine p(-5). -3 Let t(d) be the first derivative of -d**5/10 + d**2/2 + 65*d + 12.
{ "pile_set_name": "DM Mathematics" }
9*g + 15*g - 2*d, 0 = 9*g + 5*d - d + 40 for g. 0 Solve -4*l - 4*y - 220 = 0, -1912*y - 110 = 3*l - 1920*y for l. -50 Solve 4*m - 4*h = 16, 0 = 495*m - 586*m + h + 814 for m. 9 Solve -11*z + 16*z - 3*h - 557 = -473, -3*h - 9 = 0 for z. 15 Solve -2*l + 7*r - 8*r = -14*r + 15*r + 28, 0 = -3*r - 27 for l. -5 Solve -5*o - 5396 = -84*r, 6*o - 2*o - 278*r - 112 = -280*r for o. -4 Solve 11*o - 675 = -4*o - 12*o + 5*u, -5*o + 5*u + 125 = 0 for o. 25 Solve 2*k - 4*f + 8 = 0, -4*f + 21 + 24 - 62 = -4*k - 25 for k. 0 Solve -88*h + 42*h + 44*h = -5*v - 108, -67*h + 3943 = -5*v for v. 2 Solve -3*a + 3*v + 3 - 33 = 0, -4*a + 3*a + 1953 = -5*v + 1963 for a. -10 Solve -6*q - 2*u + 5 + 3 = -3*q + 11, 0 = 3*u for q. -1 Solve -168*o = 3*c - 173*o + 288, -c = 4*o - 227 for c. -1 Solve 57 = -3*j + 4*m, 646*j + m - 38 = 648*j - m for j. -19 Solve -4*v + 491838 = -3*o + 492098, 206 = 5*o - 2*v - v for o. 4 Solve 2233*b = -6*w + 2244*b - 42, -5*b = w - 3*b + 7 for w. -7 Solve 2*n = -2*p + 88, 0 = 3*p - 2*n - 51418 + 51501 for p. 1 Solve 13*t - 3*j + 5*j + 91 = -2*j, -4*t - 3*j + 13 - 41 = 0 for t. -7 Solve -4*h = -4*i + 152, -4*h + 2146 = -9*i + 2468 for i. 34 Solve -4*s - 4*z + 3*z + 66 = -0*z, 0 = 58*s - 93*s - 3*z + 566 for s. 16 Solve -3*j = 3*h + 2*h + 53, -21661*h + 21657*h - 77*j = 1236 for h. -1 Solve 3*u + u + 39 - 35 = 2*u + 2*f, 137*u - 3*f + 810 = 0 for u. -6 Solve -2628*t + 2632*t = 2*w - 72, 20*t - 2*w + 40 = 0 for t. 2 Solve i + 2 + 1 = 0, 24*j + 27*j + 0*i = 3*i - 807 for j. -16 Solve 26 = 14*g - 18*g + 2*i, 2*g + 22 = -g + 2*i for g. -4 Solve -10 = -4*l + 3*v, -767 = 4*l - 4*v - 3*v - 769 for l. 4 Solve -10080*p + 10084*p - 6*b + 40 = 0, -3*p - 15*b + 4 = -11*b for p. -4 Solve -x + 19 = 4*p - 4*x, 157*p - x = 147*p + 41 for p. 4 Solve -8995379*j - 4*t = -8995377*j - 28, -j + 35 = 5*t for j. 0 Solve 2*b - 10*z = 2*b + 14*z - 29*z - 15, 5*b - 30*z = 365 for b. 55 Solve -26 = 9*x + 2*h, 5*x - 1169*h + 3496*h + 25 = 1161*h + 1167*h for x. -4 Solve 4*h = 21*g + 6*h + 27, h + 4*h - 102 = 4*g for g. -3 Solve -p - 8*d - 12 = -5*d, 119*p - 123*p - 2*d = 8 for p. 0 Solve 3*q - 700*x - 10 - 9 = -701*x, -5*x + 5 = -3*q for q. 5 Solve 2*h - 2*r - 48 = 0, 25522*h = 25519*h - 2*r - 23 for h. 5 Solve 0 = -10*t + 10*t + o + 3, -22*o + 27*o + 207 = -6*t for t. -32 Solve 4*v + 83 = -p, -141 + 15 = 28*v + 2*p for v. 2 Solve -3*z - 50 + 26 + 45 = -2*j, -4*j + 5*z = z + 44 for j. -12 Solve i - 6*q - 1 + 34 - 19 = 0, 5*i - 2*q = 14 for i. 4 Solve 2*y = -15*l + 2*l - 56, 3*y + 8 = -2*l - 6 for y. -2 Solve -3470*j = -3467*j + 4*x - 23, -2*x + 412 = 46*j for j. 9 Solve 4*t = -2*c - 222, -279*c + 275*c - 43 = -4*t - 295 for c. 5 Solve 0 = 5*m + 4*g - 75, 483*g - 486*g + 12 + 39 = 4*m - 5 for m. -1 Solve -2*w - 21*l - 40 + 80 = 198 + 220, 2*w + 2*l + 36 = 0 for w. 0 Solve 0 = -4*m - 255*c - 1481 - 7719, 2*m - 2*c - 62 = 0 for m. -5 Solve -5*z = 3*k + 53, 4*k - k + 81 = 12*k - 9*z for k. -1 Solve 0 = 5*k - 5*f + 7444 - 7489, -2*f = -k + 9 for k. 9 Solve 36*x - d + 4 + 3 = 38*x, 4*x + 3*x - 3*d = 5 for x. 2 Solve 29*r - 28*r - 21*f + 19*f - 14 = 0, 0 = -2*r - f - 12 for r. -2 Solve 0 = -2*i - 4, -573*n + 64 = -578*n - 2*i for n. -12 Solve 4*q - 3*q + 0*q - 3*n + 0*n = 0, -3*q - 2*q - 22*n + 185 = 0 for q. 15 Solve 3*q = -2*v + 15, -16*q - 30 = -21*q - q + 3*v for q. 5 Solve 320*n = -k - 958, -n + 2*k + 3 = -0*n + 6*k - k for n. -3 Solve -6032*k + 4*q = -6035*k + 90 - 63 - 50, -q + 4 = 4*k for k. 3 Solve -3*b = 16*g - 785, 8475*g - 8471*g + 3*b - 185 = 0 for g. 50 Solve 3*n = 5099*h - 5104*h + 6, -n - 4*h = 5 for n. 7 Solve 257 = 7*v + 3*f, -121*f - 466 = v - 126*f - 101 for v. 5 Solve 8*o + 7058*f - 7061*f + 29 = 0, -2*f = 2 for o. -4 Solve -v + 0*v + 3*x - 25 = 0, 6*v - x + 286 - 87 - 100 = 0 for v. -16 Solve 2*q + 0*k = k + 22 - 12 + 19, 3*k = 26 - 119 for q. -1 Solve 0*s - 4*s - 7*o = -36, 4*s + o + 1423 - 2864 = -1405 for s. 9 Solve 0 = -3*x + 5*y + 229, 38229*y = -4*x + 38233*y + 300 for x. 73 Solve 6*t - 243 = -5*p, -4*t - 2*p + 259 - 46 = 47 for t. 43 Solve 14*g + g - j = -13544 + 13625, 0 = -5*g + 3*j + 43 for g. 5 Solve -159*g - 3*v = -184*g + 794, -5*g - 2*v = -164 for g. 32 Solve -253*y - 32*m + 27*m = -999, -4*m + 2*m = 2*m - 192 for y. 3 Solve -2*p + 6*q - 48 - 20 = 0, q + 3 + 26 = 38 for p. -7 Solve 6*x = -338*q + 339*q - 29, 28 = -2*x + 4*q for x. -4 Solve 6 = 3*w, 4186*w + 65 = -3*s + 4181*w for s. -25 Solve -2*n + 8 = -i, -i = 3*n + 424481 - 424493 for n. 4 Solve j - 10*t - t - 8 + 14 = 0, 0 = 16*j - 3*t - 77 for j. 5 Solve -6*a + 18 - 15 = -5*k - 69, 37*a - 24*k = -27*k + 241 for a. 7 Solve 4*p + 6363 = -h + 6366, -28*p = 4*h for h. 7 Solve f - 3 = -u, 0 = -3*u - 1204 + 1222 for f. -3 Solve -5*q - 30 = 5*u - 5*u - 2*u + 21, 19*q + 161 = 4*q + 7*u for q. -7 Solve -3*n + 10439 = -2*x + 10431, 5*n + 24*x + 14 = 0 for n. 2 Solve 5*s + 260*v - 124 = -305*v + 524*v, -3*s = -4*v + 40 for s. -8 Solve 175141*p + 23 = 175139*p + 3*b, -39 = 4*p - 5*b for p. -1 Solve -j = 1863*b - 1866*b + 8, 0 = 2*b + 23*j + 42 for b. 2 Solve -14*g = -28, -8*p + 7*p + 2*g - 514 = 4*g - 529 for p. 11 Solve 0 = 3*o - 144*p + 134*p - 3 - 27, 3*o = 4*p + 12 for o. 0 Solve 4*q + 125*c - 4 = -q + 127*c, -c - 2 = 107*q for q. 0 Solve 2*o + 2*x + 110 = -30*x, -2*x + 2 = -12*o + 11*o + 1 for o. -7 Solve -160827*g - 9 = 3*z - 160831*g, 3*z = -5*g + 45 for z. 5 Solve 22*p + 22 = -4*a, 3*a = -15406*p + 15410*p + 45 for a. 11 Solve 0 = t + 21*h - 251 + 315, -6*h = 4*t + 22 for t. -1 Solve 0 = i + 2*o + 16, 11*i - 3063 = -o - 3071 for i. 0 Solve -5*s - k - 831 + 783 = 0, -12 = 2*s + 4*k for s. -10 Solve -5*v + 0*v + 0 = -5*v + 8*r - 376, 0 = 16*v + 4*r - 156 for v. -2 Solve 3*q - 5 = -t, -49*q + 12*q = -t - 27 - 48 for q. 2 Solve -11*n + 6*w - 21*w = 23*w + 44, 5*n + 20 = -5*w - 0*w for n. -4 Solve 64*z - 2*b + 19 = 63*z, -33*z + 47*z + 2*b = -296 for z. -21 Solve -25*s + 2*k = 86, -12*s - 10*s + 13 = -20*s - 3*k for s. -4 Solve -3*q = -12, 7602*x - 7599*x + 5*q - 20 = 0 for x. 0 Solve -h - 3*m + 16 = 0, -m + 42 = -1655651*h + 1655655*h for h. 10 Solve -7*l - 5*q + 77 - 35 - 30 = 0, 0 = -2*l + 19*q - 160 for l. -4 Solve -5*k + 835 = -33*o, 9*k - 13*k = 4*o + 92 for k. 2 Solve u - 12*u + 206 = -5*m, m - 4*u = 3272 - 3351 for m. 5 Solve 131*d + 3*u = 128*d + 15, 21*d + 34*u - 105 = 31*u for d. 5 Solve -149*f + 147*f - 7 = 3*q, 3*q = -3*f + 4*q + 6 for f. 1 Solve -11*p = -5*f + 7887 - 7954, p - 13 = -3*f for p. 7 Solve 4*o = 4*c + 180, 1079*o + 4*c + 220 = 1084*o for o. 40 Solve 11*m = -c - 0*m - 6, c = -3*c - 311*m + 314*m - 24 for c. -6 Solve 30 = 2*c, -6*c + 53 = a - 36 + 35 - 33 for a. -3 Solve -28*g = -418*g + 780, 3*u - 6*u - 2*u - 160 = 5*g for u. -34 Solve w = -w - 2*l - 10, -86*w - 30 = -81*w - l - 47 for w. 2 Solve -93*w = -4*h + 2588, 26*w - 51*w + 12 = 4*h - 26*w for h. -4 Solve 5*g + 2*w - 16 = 0, g + 10 = 139893*w - 139889*w for g. 2 Solve 0 = -5*u - 5*q - 105, 0 = 132*q - 62*q - 67*q + 6 for u. -19 Solve 2*b = 4*h + 22, -381*h + 377*h = 2*b + 2 for h. -3 Solve 0 = 49*m - 3*v + 144 - 689, 2*m = -0*m + 3*v + 28 for m. 11 Solve -11*k - 65 = 812*l - 816*l, -2*l = -k + 9*l - 91 for k. -3 Solve 0 = 977*y - 983*y + 30, 3*i = -7*y - 0*y + 56 for i. 7 Solve 55*q + 3*f + 816 = 0, -2*q - 6737 = -3*f - 6698 for q. -15 Solve 36*n - 41*n + 188 = -33*y, 4 = y - 3*y + 4*n for y. -6 Solve -10*i + 0*i = -4*g - 320, -i + 49 = 3*g for g. 5 Solve 392*b - 9 = -2*f + 390*b + 1, 5*f - 3*b - 9 = 0 for f. 3 Solve 0 = 4*c + l + 10, 286*c = 145*c + 143*c - 2*l for c. -2 Solve 35 = -106*z + 110*z + s, -2*z - 6*s + 274 = 4*s for z. 2 Solve 0*b - b - 34 = 0, -35*p + 38 = -31*p - b for p. 1 Solve 10*w + 16*u - 203 = -449, 8*w - 3*w + 4*u + 119 = 0 for w. -23 Solve 2*c + n = -710 + 715, -4*c + 5*n + 14 = 11*n for c. 2 Solve 5*v = 3*a - 80, 2792*v = 4*a + 2787*v - 115 for a. 35 Solve -1281*a - 26*r = -1282*a + 5, -3*a = 4*r - 15 for a. 5 Solve 2 = -g, 5*w = 217166*g - 217163*g + 26 for w. 4 Solve 0 = -d + 184*h - 180*h - 19, -h - 29 = 2*d for d. -15 Solve -5*s = -3*t + 48509 - 48249, 0 = 4*s - 2*t + 172 for s. 2 Solve -6*h - 1281*m = -1280*m - 34, 4*h = 4*m + 32 for h. 6 Solve 2*y - 214 = 7*t - 154, -5*t - 180 = 26*y for t. -10 Solve 268*j + 2*o + 86 = 272*j, 52 = 2*j - 4*o for j. 20 Solve 1012*p - m = 1001*p - 106, -4*
{ "pile_set_name": "DM Mathematics" }
7, 13, 167 List the prime factors of 79882. 2, 11, 3631 What are the prime factors of 622743? 3, 11, 113, 167 What are the prime factors of 22834852? 2, 199, 28687 List the prime factors of 8117092. 2, 17, 79, 1511 List the prime factors of 652695. 3, 5, 53, 821 What are the prime factors of 5433294? 2, 3, 47, 19267 What are the prime factors of 5659475? 5, 226379 List the prime factors of 161172. 2, 3, 11, 37 What are the prime factors of 47508? 2, 3, 37, 107 What are the prime factors of 1641706? 2, 11, 74623 List the prime factors of 2671995. 3, 5, 53, 3361 List the prime factors of 1679842. 2, 839921 What are the prime factors of 10543484? 2, 7, 61, 6173 What are the prime factors of 1766954? 2, 7, 126211 What are the prime factors of 56757? 3, 18919 What are the prime factors of 10623487? 7, 17, 89273 What are the prime factors of 14522057? 11, 120017 What are the prime factors of 166327? 7, 23761 List the prime factors of 214079. 97, 2207 What are the prime factors of 1552553? 1552553 What are the prime factors of 309417? 3, 17, 6067 List the prime factors of 2551990. 2, 5, 7, 36457 What are the prime factors of 53240? 2, 5, 11 What are the prime factors of 328626? 2, 3, 18257 What are the prime factors of 2251385? 5, 450277 What are the prime factors of 9349078? 2, 29, 359, 449 What are the prime factors of 392501? 389, 1009 List the prime factors of 183900. 2, 3, 5, 613 What are the prime factors of 33045? 3, 5, 2203 What are the prime factors of 1147969? 1147969 What are the prime factors of 265786? 2, 132893 List the prime factors of 14432197. 13, 349, 3181 List the prime factors of 832195. 5, 7, 13, 31, 59 What are the prime factors of 125439? 3, 41813 List the prime factors of 1239760. 2, 5, 15497 List the prime factors of 1296161. 19, 68219 What are the prime factors of 1232267? 421, 2927 What are the prime factors of 351776? 2, 10993 List the prime factors of 43979164. 2, 10994791 List the prime factors of 686111. 29, 59, 401 List the prime factors of 7509141. 3, 239, 3491 What are the prime factors of 303861? 3, 101287 List the prime factors of 139724. 2, 13, 2687 List the prime factors of 1110324. 2, 3, 67, 1381 List the prime factors of 7555064. 2, 11, 85853 List the prime factors of 3844537. 3844537 List the prime factors of 219138. 2, 3, 36523 What are the prime factors of 225701? 7, 19, 1697 What are the prime factors of 7160743? 7160743 List the prime factors of 19460920. 2, 5, 17, 28619 List the prime factors of 26711195. 5, 7, 157, 4861 List the prime factors of 6478519. 6478519 List the prime factors of 26295085. 5, 1283, 4099 What are the prime factors of 7747091? 11, 704281 List the prime factors of 796073. 281, 2833 List the prime factors of 27877311. 3, 7, 11, 23, 53 List the prime factors of 218203. 113, 1931 List the prime factors of 284504. 2, 11, 53, 61 List the prime factors of 8619450. 2, 3, 5, 7, 8209 List the prime factors of 225404. 2, 37, 1523 List the prime factors of 90958. 2, 7, 73, 89 What are the prime factors of 10716? 2, 3, 19, 47 List the prime factors of 724227. 3, 7, 34487 What are the prime factors of 235585? 5, 7, 53, 127 List the prime factors of 676545. 3, 5, 23, 37, 53 List the prime factors of 13860621. 3, 97, 15877 List the prime factors of 1434269. 67, 21407 List the prime factors of 5518091. 23, 29, 8273 List the prime factors of 135111. 3, 29, 1553 What are the prime factors of 1812136? 2, 31, 7307 List the prime factors of 489761. 489761 What are the prime factors of 316592? 2, 47, 421 What are the prime factors of 1687994? 2, 7, 11, 97, 113 What are the prime factors of 6629813? 17, 389989 What are the prime factors of 11811? 3, 31, 127 List the prime factors of 4458775. 5, 178351 What are the prime factors of 4704179? 4704179 What are the prime factors of 120661? 120661 What are the prime factors of 780906? 2, 3, 7, 18593 List the prime factors of 104727. 3, 7, 4987 List the prime factors of 410696. 2, 11, 13, 359 List the prime factors of 23463. 3, 11, 79 List the prime factors of 6864537. 3, 431, 5309 List the prime factors of 2221796. 2, 79, 89 What are the prime factors of 155013? 3, 163, 317 List the prime factors of 243883. 47, 5189 List the prime factors of 3265437. 3, 7, 131, 1187 What are the prime factors of 2138311? 7, 17, 151 List the prime factors of 43064348. 2, 1523, 7069 What are the prime factors of 539977? 197, 2741 What are the prime factors of 23009336? 2, 7, 641 List the prime factors of 285987. 3, 13, 7333 List the prime factors of 308505. 3, 5, 131, 157 List the prime factors of 3265886. 2, 13, 59, 2129 What are the prime factors of 1445308? 2, 361327 What are the prime factors of 18336696? 2, 3, 7, 109147 What are the prime factors of 4317434? 2, 11, 196247 List the prime factors of 195378. 2, 3, 32563 What are the prime factors of 1033296? 2, 3, 11, 19, 103 What are the prime factors of 3138690? 2, 3, 5, 104623 What are the prime factors of 5770214? 2, 2885107 What are the prime factors of 605704? 2, 11, 6883 What are the prime factors of 1370273? 233, 5881 What are the prime factors of 432709? 29, 43, 347 List the prime factors of 90068. 2, 11, 23, 89 What are the prime factors of 795069? 3, 11, 2677 What are the prime factors of 202421? 71, 2851 List the prime factors of 7831298. 2, 167, 23447 List the prime factors of 298026. 2, 3, 5519 List the prime factors of 530092. 2, 132523 List the prime factors of 4026561. 3, 7, 11, 17431 What are the prime factors of 956839? 13, 89, 827 List the prime factors of 198783. 3, 13, 1699 What are the prime factors of 340176? 2, 3, 19, 373 What are the prime factors of 177998? 2, 61, 1459 List the prime factors of 1279986. 2, 3, 383, 557 What are the prime factors of 14664017? 3719, 3943 What are the prime factors of 260527? 260527 What are the prime factors of 135700? 2, 5, 23, 59 List the prime factors of 108448. 2, 3389 List the prime factors of 2374141. 7, 11, 2803 List the prime factors of 2568702. 2, 3, 127, 3371 What are the prime factors of 400779? 3, 44531 What are the prime factors of 27314615? 5, 5462923 List the prime factors of 464128. 2, 7, 37 List the prime factors of 471887. 13, 36299 List the prime factors of 600605. 5, 120121 What are the prime factors of 920588? 2, 19, 12113 What are the prime factors of 15457984? 2, 41, 43, 137 List the prime factors of 527143. 527143 What are the prime factors of 6816035? 5, 1363207 What are the prime factors of 5704806? 2, 3, 31, 30671 What are the prime factors of 72259? 11, 6569 What are the prime factors of 254982? 2, 3, 7, 13, 467 What are the prime factors of 92869? 7, 13267 What are the prime factors of 691602? 2, 3, 73, 1579 List the prime factors of 244501. 139, 1759 What are the prime factors of 405330? 2, 3, 5, 59, 229 What are the prime factors of 492816? 2, 3, 10267 List the prime factors of 19977588. 2, 3, 19, 29207 What are the prime factors of 2090115? 3, 5, 46447 List the prime factors of 2733939. 3, 13, 7789 List the prime factors of 36859. 29, 31, 41 What are the prime factors of 347730? 2, 3, 5, 67, 173 What are the prime factors of 2350077? 3, 783359 What are the prime factors of 817680? 2, 3, 5, 3407 What are the prime factors of 1695754? 2, 97, 8741 What are the prime factors of 160276? 2, 17, 2357 List the prime factors of 2696041. 277, 9733 List the prime factors of 3585392. 2, 331, 677 What are the prime factors of 57209? 19, 3011 What are the prime factors of 195888? 2, 3, 7, 11, 53 What are the prime factors of 7891857? 3, 29, 10079 What are the prime factors of 364662? 2, 3, 2251 What are the prime factors of 8302? 2, 7, 593 What are the prime factors of 20003515? 5, 7, 81647 List the prime factors of 783092. 2, 137, 1429 What are the prime factors of 208660? 2, 5, 10433 List the prime factors of 938039. 41, 137, 167 What are the prime factors of 76271? 13, 5867 What are the prime factors of 201875? 5, 17, 19 What are the prime factors of 835314? 2, 3, 23, 6053 What are the prime factors of 7809909? 3, 947, 2749 What are the prime factors of 378817? 378817 What are the prime factors of 205685? 5, 31, 1327 What are the prime factors of 788106? 2, 3, 11, 11941 What are the prime factors of 13537? 13537 What are the prime factors of 45
{ "pile_set_name": "DM Mathematics" }
6? 2, 3, 277, 599 What are the prime factors of 2252773? 19, 139, 853 List the prime factors of 608955. 3, 5, 40597 List the prime factors of 12258294. 2, 3, 127, 16087 List the prime factors of 248149. 11, 17, 1327 List the prime factors of 228929. 228929 What are the prime factors of 3383937? 3, 41777 List the prime factors of 46135. 5, 9227 List the prime factors of 318424. 2, 53, 751 What are the prime factors of 236423? 11, 21493 List the prime factors of 3838611. 3, 7, 26113 List the prime factors of 3850. 2, 5, 7, 11 What are the prime factors of 332668? 2, 7, 109 List the prime factors of 2369692. 2, 13, 199, 229 What are the prime factors of 301456? 2, 83, 227 What are the prime factors of 234190? 2, 5, 11, 2129 List the prime factors of 797912. 2, 17, 5867 What are the prime factors of 8276667? 3, 7, 73, 5399 What are the prime factors of 1257727? 157, 8011 What are the prime factors of 539630? 2, 5, 7, 13, 593 List the prime factors of 255910. 2, 5, 157, 163 List the prime factors of 185010. 2, 3, 5, 7, 881 What are the prime factors of 933416? 2, 11, 10607 What are the prime factors of 2356126? 2, 137, 8599 List the prime factors of 188171. 188171 What are the prime factors of 9372008? 2, 241, 4861 List the prime factors of 906954. 2, 3, 71, 2129 List the prime factors of 241691. 241691 List the prime factors of 8661366. 2, 3, 7, 53, 1297 List the prime factors of 38415377. 7, 11, 13, 38377 List the prime factors of 72952. 2, 11, 829 What are the prime factors of 95783? 95783 List the prime factors of 12596960. 2, 5, 131, 601 What are the prime factors of 334785? 3, 5, 11, 2029 What are the prime factors of 1590851? 19, 101, 829 List the prime factors of 4290579. 3, 17, 29, 967 List the prime factors of 6961239. 3, 19, 40709 What are the prime factors of 20534073? 3, 7, 977813 List the prime factors of 3842236. 2, 71, 83, 163 List the prime factors of 2700146. 2, 1350073 What are the prime factors of 13293? 3, 7, 211 List the prime factors of 2581893. 3, 41, 6997 List the prime factors of 644041. 47, 71, 193 List the prime factors of 4488438. 2, 3, 181, 4133 What are the prime factors of 1256176? 2, 78511 What are the prime factors of 19728586? 2, 31, 318203 List the prime factors of 4998722. 2, 647, 3863 List the prime factors of 1253416. 2, 156677 List the prime factors of 9830770. 2, 5, 191, 5147 What are the prime factors of 40242533? 40242533 List the prime factors of 399735. 3, 5, 7, 47 List the prime factors of 8275110. 2, 3, 5, 275837 What are the prime factors of 2858792? 2, 357349 List the prime factors of 30278627. 1459, 20753 List the prime factors of 424677. 3, 11, 17, 757 What are the prime factors of 106580? 2, 5, 73 What are the prime factors of 580801? 13, 43, 1039 List the prime factors of 3524622. 2, 3, 587437 What are the prime factors of 985511? 19, 51869 List the prime factors of 22376. 2, 2797 List the prime factors of 497598. 2, 3, 239, 347 List the prime factors of 7320186. 2, 3, 135559 List the prime factors of 19831522. 2, 83, 193, 619 List the prime factors of 2125516. 2, 691, 769 What are the prime factors of 194727? 3, 13, 4993 List the prime factors of 10233333. 3, 11, 9397 What are the prime factors of 796367? 11, 13, 5569 List the prime factors of 15958273. 31, 514783 What are the prime factors of 6043258? 2, 13, 232433 What are the prime factors of 61124? 2, 7, 37, 59 What are the prime factors of 413019? 3, 5099 What are the prime factors of 946596? 2, 3, 7, 59, 191 What are the prime factors of 147698? 2, 73849 What are the prime factors of 8923792? 2, 443, 1259 What are the prime factors of 9693146? 2, 43, 269, 419 What are the prime factors of 6229273? 419, 14867 What are the prime factors of 5724343? 397, 14419 List the prime factors of 234128. 2, 14633 List the prime factors of 11248047. 3, 887, 1409 List the prime factors of 1915096. 2, 239387 List the prime factors of 10760823. 3, 398549 List the prime factors of 431557. 7, 61651 What are the prime factors of 34634271? 3, 7, 1649251 What are the prime factors of 37136520? 2, 3, 5, 43, 2399 List the prime factors of 1664626. 2, 59, 14107 List the prime factors of 1764368. 2, 110273 What are the prime factors of 329718? 2, 3, 179, 307 What are the prime factors of 441506? 2, 13, 16981 List the prime factors of 424690. 2, 5, 7, 6067 List the prime factors of 2455012. 2, 7, 87679 What are the prime factors of 485660? 2, 5, 7, 3469 List the prime factors of 77084. 2, 7, 2753 List the prime factors of 3654830. 2, 5, 17, 21499 What are the prime factors of 17517076? 2, 23, 190403 List the prime factors of 574036. 2, 143509 What are the prime factors of 769476? 2, 3, 64123 What are the prime factors of 5641? 5641 What are the prime factors of 6159612? 2, 3, 37, 13873 What are the prime factors of 1678177? 83, 20219 What are the prime factors of 4566942? 2, 3, 9397 What are the prime factors of 3983489? 241, 16529 What are the prime factors of 1240417? 29, 42773 List the prime factors of 2148. 2, 3, 179 List the prime factors of 1206869. 1206869 List the prime factors of 137781. 3, 7 List the prime factors of 710536. 2, 88817 List the prime factors of 13584592. 2, 7, 121291 List the prime factors of 11802610. 2, 5, 19, 62119 What are the prime factors of 5839? 5839 List the prime factors of 166022. 2, 17, 19, 257 What are the prime factors of 30340208? 2, 1896263 What are the prime factors of 92788? 2, 23197 List the prime factors of 20608. 2, 7, 23 What are the prime factors of 2250877? 47, 83, 577 List the prime factors of 14065100. 2, 5, 7, 71, 283 List the prime factors of 4219854. 2, 3, 703309 List the prime factors of 2117472. 2, 3, 7, 23, 137 What are the prime factors of 5630709? 3, 7, 73, 3673 What are the prime factors of 18106074? 2, 3, 7, 143699 What are the prime factors of 331843? 331843 What are the prime factors of 312512? 2, 19, 257 List the prime factors of 5509376. 2, 21521 List the prime factors of 3436067. 3436067 List the prime factors of 421015. 5, 7, 23, 523 What are the prime factors of 165036? 2, 3, 17, 809 What are the prime factors of 171848? 2, 21481 What are the prime factors of 37149? 3, 7, 29, 61 What are the prime factors of 2832058? 2, 1416029 What are the prime factors of 3969846? 2, 3, 23, 43, 223 What are the prime factors of 199080? 2, 3, 5, 7, 79 List the prime factors of 125727. 3, 7, 5987 List the prime factors of 6536230. 2, 5, 653623 List the prime factors of 5107818. 2, 3, 851303 What are the prime factors of 40702? 2, 47, 433 List the prime factors of 445349. 17, 23, 67 What are the prime factors of 123992? 2, 11, 1409 List the prime factors of 2150075. 5, 17, 5059 What are the prime factors of 103792? 2, 13, 499 What are the prime factors of 296161? 73, 4057 List the prime factors of 335882. 2, 19, 8839 What are the prime factors of 299276? 2, 23, 3253 What are the prime factors of 1756077? 3, 43, 13613 List the prime factors of 7634008. 2, 83, 11497 List the prime factors of 296009. 7, 863 What are the prime factors of 147608? 2, 18451 What are the prime factors of 2417272? 2, 11, 13, 2113 What are the prime factors of 308101? 308101 List the prime factors of 4228207. 41, 281, 367 What are the prime factors of 4451613? 3, 73, 20327 List the prime factors of 363929. 23, 15823 List the prime factors of 9322. 2, 59, 79 List the prime factors of 388623. 3, 281, 461 What are the prime factors of 454409? 454409 List the prime factors of 532758. 2, 3, 88793 What are the prime factors of 17648? 2, 1103 What are the prime factors of 1022288? 2, 181, 353 List the prime factors of 11324214. 2, 3, 11, 57193 List the prime factors of 140208. 2, 3, 23, 127 What are the prime factors of 155481? 3, 51827 What are the prime factors of 337365? 3, 5, 7, 17 What are the prime factors of 9017073? 3, 13, 77069 List the prime factors of 1220490. 2, 3, 5, 71, 191 What are the prime factors of 12492665? 5, 79, 31627 What are the prime factors of 1002276? 2, 3, 11, 2531 What are the prime factors of 661389? 3, 113, 1951 What are the prime factors of 45448? 2, 13, 19, 23 What are the prime factors of 72485? 5, 7, 19, 109 What are the prime factors of 619569? 3, 7649 What are the prime factors of 1372489? 101, 107, 127 List t
{ "pile_set_name": "DM Mathematics" }
-7/6. Suppose -v - 11 = -0*z + 5*z, -3*z = -3*v + 21. Let x be v/(-6) - 57/(-45). Put x, -2, q in increasing order. -2, q, x Let l = 67 - 67.3. Sort l, -2/25, 1/2, 1 in decreasing order. 1, 1/2, -2/25, l Suppose -2 = 3*b + 1. Let d be 165/(-35) + 4/(-14). Sort d, b, 3. d, b, 3 Let k(s) = -s + 15. Let h be k(11). Let o(z) = -z**3 + 5*z**2 - 3*z. Let m be o(h). Suppose y = m*y + 3. Put 3, -2, y in increasing order. -2, y, 3 Suppose 0 = -5*s + 7*s + 6. Sort 5, s, 1 in descending order. 5, 1, s Suppose -r - 16 = 4*r + 3*j, -4*r = -4*j. Put 2, -3, r in decreasing order. 2, r, -3 Let i = -13 + 21. Sort -4, 0, i in descending order. i, 0, -4 Suppose -4*l - 20 = 0, 2*x - 2*l - 15 = 3*l. Let b be x/(-10) - 3/(-2). Sort b, -2, -3 in descending order. b, -2, -3 Let m be (-2)/((-4)/(-2)) + -4. Let v = 0.02 + -0.42. Sort v, -2/9, m. m, v, -2/9 Let x = -0.08 + 0.28. Put x, 1, -3, 1/2 in ascending order. -3, x, 1/2, 1 Suppose 0 = -4*f + 7 - 19. Let m be 3 + (0 - (-75)/(-27)). Sort 3, m, f. f, m, 3 Let t = 1.01 - 1.04. Sort 5/3, 2, t in decreasing order. 2, 5/3, t Suppose 2 = -2*t - 4*u, -4 = -4*t + 2*t - u. Put 2, -2, t in ascending order. -2, 2, t Let z = -8 + 14. Suppose -z*c = -c. Suppose -5*f + 24 = f. Sort f, 5, c. c, f, 5 Let z = 2 + -1.8. Let t = -0.7 + z. Let m = 237/5 - 47. Sort t, -4, m in decreasing order. m, t, -4 Let d(u) be the third derivative of -u**5/12 + u**4/24 - u**3/6 + 7*u**2. Let q be d(1). Let h = -7 - -12. Sort h, q, 4. q, 4, h Let i = 10 - 8. Let a be (0 - -1)*(0 + -4). Sort i, -2, a in decreasing order. i, -2, a Let f be (4/6)/((-2)/(-6)). Suppose 4*h + 5*y + 11 = 0, 0 = -h + 5*h - y + 17. Put f, -2, h in descending order. f, -2, h Let y be ((-2)/(-3))/(3 + 52/(-18)). Put -5, y, -2/3 in increasing order. -5, -2/3, y Let l(q) = 5*q. Let b be l(1). Sort 1/5, b, -1 in increasing order. -1, 1/5, b Let j be 6/(-2 + 5 + -1). Suppose -4*t = q - j*t - 22, -2*t = -5*q + 131. Suppose 2*g + q = 7*g. Sort 4, g, -5 in descending order. g, 4, -5 Let s(a) = -2*a**3 - 3*a**2 - 7*a + 8. Let n(l) = l**3 + 2*l**2 + 4*l - 4. Let p(x) = 7*n(x) + 4*s(x). Let r be p(3). Sort r, -1, 2 in descending order. 2, -1, r Let c = 0.01 + 1.19. Let f = c + -1.2. Sort -5, f, 0.5 in increasing order. -5, f, 0.5 Let j be (-2 + 8/3)*-3. Let n be ((-1)/(-2))/((-13)/(-26)). Let i = j + n. Sort i, 2, 3 in descending order. 3, 2, i Let o(g) = -g**2 + 8*g + 2. Let y be o(7). Suppose -34 = 5*d - y. Put -3, -4, d in descending order. -3, -4, d Suppose -o = -30 + 29. Sort 5, 2, 6, o in descending order. 6, 5, 2, o Let j = 4 + -5. Let u be j*((-5)/2 + 2). Let y = -6 + 5. Sort y, u, -2/5. y, -2/5, u Suppose -2*z - 3*z = 25. Let q be (-39)/13*(-8)/6. Put q, z, 1 in decreasing order. q, 1, z Let p = 0.1 + -0.3. Let y = p - 0.2. Suppose 5*x + 21 = 6. Put y, x, 5 in decreasing order. 5, y, x Let x = -167 - -167. Sort x, -2, -8/7. -2, -8/7, x Let v be (6/(-24))/(1/(-44)). Let j = 13 - v. Suppose 3*w + 14 = -0*w + g, -5*w = -5*g + 40. Sort j, w, 3. w, j, 3 Suppose 19 = -5*y - c, -2*y + c = 3*y + 11. Put -5, y, 1 in increasing order. -5, y, 1 Let m = -24.6 - -25. Let d = 0 - 0. Let j = d - -1. Put j, -2, m in increasing order. -2, m, j Let n = 9.8 - -1.2. Let o = n + -11.5. Put -3/7, -4, o in decreasing order. -3/7, o, -4 Let m be (0 + 0)*(2 - 3). Put m, -20, -1 in decreasing order. m, -1, -20 Suppose 3*f = 5*b - 8 - 23, -4*b = -3*f - 26. Let w(m) = -m. Let l be w(-3). Suppose -3*t - y = 17, 5*y + 10 = l*y. Sort t, b, -3 in descending order. b, -3, t Suppose -3*b + 2*d = 2, -2*b - d + 12 = 2*b. Put 1/8, b, -5 in decreasing order. b, 1/8, -5 Let j = -3 - -8. Let y(h) = 5*h + 13. Let p be y(-2). Let f be ((-2)/4)/(2/12). Put p, j, f in decreasing order. j, p, f Let b = 8 - 10. Let j = -5 + 9. Let x = -3 + 3. Put b, x, j in decreasing order. j, x, b Let w be 1 + 2*(-1 - 1). Sort -12, w, 0 in decreasing order. 0, w, -12 Suppose -2*f + 5*f = m - 24, -3*f + 66 = 5*m. Suppose 7*n = 2*n - m, -4*n + 6 = 3*d. Sort d, -4, 0.1 in descending order. d, 0.1, -4 Suppose 5*f + 3*d + 1 = 0, -4*d + 1 = f + 8. Let a(t) = 3*t**2 + 2*t - 1. Let l be a(1). Sort f, l, 2 in descending order. l, 2, f Let w = -8 + 11. Put 5, 4, w in decreasing order. 5, 4, w Let w = 0.089 + 3.911. Sort 4/3, w, 0 in increasing order. 0, 4/3, w Let p(b) be the first derivative of b**4/2 - 2*b**3/3 - b**2 - b + 7. Let c be p(-1). Sort 3, c, -4 in decreasing order. 3, c, -4 Let l = 57 - 58. Let h be (-2 - -4) + 26/(-10). Sort l, h, -3 in decreasing order. h, l, -3 Let q be (-6 - -7)/(-3 - -2) - 0. Sort -2, q, -5, 0 in ascending order. -5, -2, q, 0 Let h(d) = d**2 + 5*d + 6. Let s be h(-4). Let y be ((-2)/(-2))/((-1)/5*-5). Put y, 5, s in decreasing order. 5, s, y Let u = -17 + 20. Suppose 0 = -6*l + u - 21. Put l, 8, 5 in decreasing order. 8, 5, l Let m be 34/(-8) - 1/(-4). Let i = m + 2. Suppose -8 = -2*o - 0*o. Sort 0, o, i in descending order. o, 0, i Suppose -3*a + 4*t = 2*a - 11, -6 = -a - 3*t. Put 2, 1, a, -2 in descending order. a, 2, 1, -2 Let a(t) = t**3 + 6*t**2 - 3*t + 8. Let b be a(-6). Suppose 5*w - b = -1. Sort 4, w, 2 in decreasing order. w, 4, 2 Let k be 3*(-1 + 3)/(-6). Let t be k/5 - 6/(-30). Let w be (-3)/(-33)*(2 - t). Put w, 4, -1/3 in descending order. 4, w, -1/3 Let a(i) = 8*i - 12. Let f be a(1). Let n be (-52)/(-14) - (-4)/14. Put n, f, -3 in decreasing order. n, -3, f Let p = 87/4 - 22. Put -0.4, p, -5 in descending order. p, -0.4, -5 Let t be ((-3)/4)/(60/(-8)). Sort t, -3, -5 in descending order. t, -3, -5 Let a be (-2)/5 + 8/(-30). Let v = -70 - -349/5. Sort -1/2, v, a in descending order. v, -1/2, a Let f = -1.8 + 0.8. Put -0.2, 1/2, f in descending order. 1/2, -0.2, f Let i(u) = u**2 - 9*u + 18. Let f be i(5). Let n = 6.05 - 0.05. Let h = n - 11. Sort f, 5, h in ascending order. h, f, 5 Suppose 2*h = 4*d - 12, -3*h - 7 - 6 = -d. Sort d, 20, 2 in descending order. 20, 2, d Let t(b) be the second derivative of -b**4/12 + b**3/3 + 3*b. Let z be t(3). Let i be (-6)/(-9)*(-4 + 1). Put -1, i, z in descending order. -1, i, z Let p = -107/164 - 4/41. Let q = 0.09 + -0.13. Let v = q + -0.26. Put v, p, 0.3 in increasing order. p, v, 0.3 Suppose -16 = b - 3*m, -3*m = -5*b + 2*m - 40. Put 0.3, 5, b, 42 in increasing order. b, 0.3, 5, 42 Let b = 966376/385 + -12548/5. Let m = b + -2/7. Let j = -0.1 - -0.1. Sort 0.2, j, m in increasing order. j, m, 0.2 Let f = 23 - 23.1. Sort 0.5, f, 7. f, 0.5, 7 Let i(m) = -m**2 - 5*m - 4. Let h be i(-4). Let c be 4/(-10)*692/2. Let l = 138 + c. Sort 6/7, h, l. l, h, 6/7 Let v = -12 - -20. Suppose 0*u = -2*u + v. Sort 5, u, -3 in increasing order. -3, u, 5 Suppose -7*z + 24 = -15*z. Let v(a) = a**3 + 8*a**2 - 7*a + 8. Let p be v(-9). Put p, -2, z in ascending order. p, z, -2 Let m(v) = -v - 4. Let t be m(-7). Let p(b) = b - 2 - 2 - t. Let w be p(5). Sort 0, -0.1, w. w, -0.1, 0 Suppose 2*h = 3*h + 126. Suppose 5*i + 1 = 6*i. Let x be 3/h*(i + -5). Put 0.5, 0, x in increasing order. 0, x, 0.5 Let x(a) = -3*a + 7. Let h(k) = -k + 7. Let t be h(4). Let v(y) = -2*y + 4. Let d(f) = t*x(f) - 5*v(f). Let q be d(-5). Sort 2/3, -2/13, q in increasing order. q, -2/13, 2/3 Suppose 18 = 2*y + 3*j, 0 = y - 2*y + 4*j - 13. Sort y, 1, 4, 7 in descending order. 7, 4, y, 1 Let l = -2.7 + 3.2. Sort l, -3/8, 6 in increasing order. -3/8, l, 6 Suppose -4*l = 0, -m - 5*l = 5 - 4. Let i = 42 - 42. Sort -3, m, i in descending order. i, m, -3 Let o = -15 - -18. Put -9, 5, 0, o in ascending order. -9, 0, o, 5 Let g = -4 + 2. Suppose -5*s - k + 19 = 0, k + 3 = 5*s - 2*k. Let i = 2 - s. Put -5, g, i in descending order. i, g, -5 Suppose o + 9 = u - 2*o, -2*u + 5*o = -14. Sort 2/9, 0.5, u. u, 2/9, 0.5 Let a be 8/(2 + 0/(-3)). Let p = a - 5. Sort 0, p, -2 in ascending order. -2, p, 0 Let k be -4 + ((-1)/2 - 21/(-14)). Put k, 6, 4 in ascending order. k, 4, 6 Let u be (-1 - 3/(-6))*(-6 + -10). Put u, 2, 3, 4 in decreasing order. u, 4, 3, 2 Let o = -39 - -49. Sort 5, 4, 3, o in descending order. o, 5, 4, 3 Let i = -1.9 + 0.1. Let k = -1.84 - i. Put k, 4/9, 0.3 in descending order. 4/9, 0.3, k Let w(r) be the third derivative of -r**6/120 - 3*r**5/20 + r**4/24 + 7*r**3/6 + 4*r**2. Let b be w(-9). Sort 1, -3, b in ascending order. -3, b, 1 Let m = 5.3 + -0.3. Let p = m + -4. Put -0.5, 3/4, p in ascending order.
{ "pile_set_name": "DM Mathematics" }
9996, -2, 1/5, 2/3, 16. -2, 1/5, 2/3, 16, 9996 Sort -10, 8, 0.21, -4 in ascending order. -10, -4, 0.21, 8 Put -12, -9, -3, -1, 2 in decreasing order. 2, -1, -3, -9, -12 Sort 2/7, -5, -0.3, 160, -2/13 in increasing order. -5, -0.3, -2/13, 2/7, 160 Sort -3, 61, 4/5, 0 in descending order. 61, 4/5, 0, -3 Put -4, -39, 0, -5, 2 in decreasing order. 2, 0, -4, -5, -39 Sort 146, 0, 4, -4, -3 in descending order. 146, 4, 0, -3, -4 Sort 4, -54, 10, -2, 1, 3. -54, -2, 1, 3, 4, 10 Put 2, -39, -5, -3, -25 in increasing order. -39, -25, -5, -3, 2 Put 15, 0, -7, 3, 21 in descending order. 21, 15, 3, 0, -7 Put 0.96, 5, -315/4 in decreasing order. 5, 0.96, -315/4 Sort -4, -13, -3, -69, 0, -5 in descending order. 0, -3, -4, -5, -13, -69 Put -3/5, -4, -2, -172, 34 in ascending order. -172, -4, -2, -3/5, 34 Sort 1, -8, 5, -113, 2 in decreasing order. 5, 2, 1, -8, -113 Put 2, 8, -1/7, 19 in increasing order. -1/7, 2, 8, 19 Put -1/5, 0.1, -311, -3, -3/2 in ascending order. -311, -3, -3/2, -1/5, 0.1 Sort 4, 24, -4, 1, 133, 0 in increasing order. -4, 0, 1, 4, 24, 133 Put 38, -11/74, -3 in descending order. 38, -11/74, -3 Sort 3, -56, -2, 0.09, -4, -5. -56, -5, -4, -2, 0.09, 3 Put 67, 7, -5, -14, 1 in increasing order. -14, -5, 1, 7, 67 Sort 4, 14, 122, -0.3, 1 in ascending order. -0.3, 1, 4, 14, 122 Sort 13, -4/5, -0.13 in increasing order. -4/5, -0.13, 13 Put -83, 68, -5, 3 in descending order. 68, 3, -5, -83 Sort 5, 4, -4, 18, 9 in descending order. 18, 9, 5, 4, -4 Sort -126, -4, -9, 3, -1 in ascending order. -126, -9, -4, -1, 3 Sort -12, 1, 207. -12, 1, 207 Put -0.86, 2/17, -0.4, -0.6 in increasing order. -0.86, -0.6, -0.4, 2/17 Sort -7, -3/5, 2/7, 1/31, -0.3, 21. -7, -3/5, -0.3, 1/31, 2/7, 21 Sort 3, 2, -681, -1, 0, 5 in increasing order. -681, -1, 0, 2, 3, 5 Put 9, 130, -44 in ascending order. -44, 9, 130 Put -8352, -5, -1 in decreasing order. -1, -5, -8352 Sort 5/439, 0.2, 24, 2/3. 5/439, 0.2, 2/3, 24 Sort -5, 1, 542, -2.2, 2 in descending order. 542, 2, 1, -2.2, -5 Sort -2, -79, 2, 3, 187, -3 in increasing order. -79, -3, -2, 2, 3, 187 Sort -184, -1/3, 2, -14 in decreasing order. 2, -1/3, -14, -184 Sort -2/11, -3, -40 in ascending order. -40, -3, -2/11 Sort -2/15, 0.4, -599.4, 4, -3, -2 in descending order. 4, 0.4, -2/15, -2, -3, -599.4 Sort -0.3, 633, -3, 0, 0.46, 3/2. -3, -0.3, 0, 0.46, 3/2, 633 Sort 0.048, -0.0432, -0.18 in decreasing order. 0.048, -0.0432, -0.18 Put 26564, -2, 17 in decreasing order. 26564, 17, -2 Sort -5, -2, -3, -48, 3. -48, -5, -3, -2, 3 Sort -18, 0, 851, 2 in decreasing order. 851, 2, 0, -18 Sort -12, 601, -46. -46, -12, 601 Sort -3.58, -1/9, 1/11 in decreasing order. 1/11, -1/9, -3.58 Sort -4, -6, 4, 2, 18 in decreasing order. 18, 4, 2, -4, -6 Put 3/2, -360, -3/2, 0.09, -3, 5 in ascending order. -360, -3, -3/2, 0.09, 3/2, 5 Sort -2101, 0, 51, 5 in increasing order. -2101, 0, 5, 51 Sort 0, -3/5, 6160. -3/5, 0, 6160 Sort 1, 379, -3, -1, 14 in decreasing order. 379, 14, 1, -1, -3 Sort -26, -4, 0.1089, 0.07 in decreasing order. 0.1089, 0.07, -4, -26 Sort -3, 449, 2, 10 in descending order. 449, 10, 2, -3 Put 13, 4.3, 8/9 in increasing order. 8/9, 4.3, 13 Put -5, -723, -3, 56 in increasing order. -723, -5, -3, 56 Sort -14, 8, -1, 0, -25, -8. -25, -14, -8, -1, 0, 8 Sort 2, 24, -109, -2. -109, -2, 2, 24 Put 94, 36, -5 in decreasing order. 94, 36, -5 Sort -5039, 2, 0, -3 in descending order. 2, 0, -3, -5039 Sort -3, -2, -1174, -69. -1174, -69, -3, -2 Put 0.05, -342.1, -3 in decreasing order. 0.05, -3, -342.1 Sort -3, 6327, 4. -3, 4, 6327 Put 2, 4, -69, 231 in decreasing order. 231, 4, 2, -69 Put 11, -4, 2337 in ascending order. -4, 11, 2337 Put 4, -140, 0, 5, 55 in decreasing order. 55, 5, 4, 0, -140 Put -29, -2/7, 17, 60, 0.1 in descending order. 60, 17, 0.1, -2/7, -29 Sort 40, 2, 1, -4, 6, -5. -5, -4, 1, 2, 6, 40 Put 0.7, 4, 5/123, -0.5, 2 in decreasing order. 4, 2, 0.7, 5/123, -0.5 Sort -33, 0, 261. -33, 0, 261 Sort 3, -2/3, -74.56, 0.4, 12 in descending order. 12, 3, 0.4, -2/3, -74.56 Sort -3, -11, 30, -32, 0, 5. -32, -11, -3, 0, 5, 30 Put 3476, 3, 106 in ascending order. 3, 106, 3476 Put 3/10, 0.4, -3/20, 3/4, 1/3 in increasing order. -3/20, 3/10, 1/3, 0.4, 3/4 Put 49, -0.5, -2/5, -4/27, 1/3 in descending order. 49, 1/3, -4/27, -2/5, -0.5 Sort -1, -48, -57, 0 in descending order. 0, -1, -48, -57 Sort -1/4, 31, -2/43, 9 in increasing order. -1/4, -2/43, 9, 31 Put -14/25, -6.02, 5 in increasing order. -6.02, -14/25, 5 Put 2/5, 2, 0.3, -3/2, 146 in decreasing order. 146, 2, 2/5, 0.3, -3/2 Put 6, -2, -105, 4 in decreasing order. 6, 4, -2, -105 Sort 3, 8, -263 in descending order. 8, 3, -263 Sort 5, 12, 8, -6, -7, -4 in decreasing order. 12, 8, 5, -4, -6, -7 Sort 0, 6, -6, -3, 14. -6, -3, 0, 6, 14 Sort 2, -80, 4, -1 in descending order. 4, 2, -1, -80 Sort -1/5, 12, -5/3, 0.09, -0.28 in descending order. 12, 0.09, -1/5, -0.28, -5/3 Put 3, -1, 1, -4, -2 in increasing order. -4, -2, -1, 1, 3 Put 30, -2, 19, 3, -5 in ascending order. -5, -2, 3, 19, 30 Sort 3/2, -2/5, 3, -119 in increasing order. -119, -2/5, 3/2, 3 Put 1/5, -1.6, 67, -0.3, -9 in ascending order. -9, -1.6, -0.3, 1/5, 67 Sort 2, -1, -4700, -2, 5 in decreasing order. 5, 2, -1, -2, -4700 Put 1, 8, -3, -38, 2 in increasing order. -38, -3, 1, 2, 8 Put 170, 14, 0, -22 in descending order. 170, 14, 0, -22 Sort -164, -5, -100, -4 in decreasing order. -4, -5, -100, -164 Put 3244, -21, -3, 1 in descending order. 3244, 1, -3, -21 Sort 3, 142, -1, -6, -9, 6 in descending order. 142, 6, 3, -1, -6, -9 Sort 1/3, -7, -537/8, 1, 2/5 in ascending order. -537/8, -7, 1/3, 2/5, 1 Sort 0, 4, -3, 1, 8, -1. -3, -1, 0, 1, 4, 8 Put -87, 1/8, -2/7, -7 in decreasing order. 1/8, -2/7, -7, -87 Put -2, 5, 44, 1 in ascending order. -2, 1, 5, 44 Sort 0.1, 5, -1, 5.57, -2 in increasing order. -2, -1, 0.1, 5, 5.57 Sort 1, -91, -1, -17. -91, -17, -1, 1 Sort -15, 60, -3, -4, 4 in descending order. 60, 4, -3, -4, -15 Sort 33/2, -279, 6 in ascending order. -279, 6, 33/2 Put 0.508, -2, 0 in ascending order. -2, 0, 0.508 Put 5, -17, 218, -2 in descending order. 218, 5, -2, -17 Put -15, 70, -34 in descending order. 70, -15, -34 Sort 0.19, 1, 1/9, 184, 2. 1/9, 0.19, 1, 2, 184 Put 23.2, 4/9, 0.3, 1, 2/51 in ascending order. 2/51, 0.3, 4/9, 1, 23.2 Put -363, -2, 42 in ascending order. -363, -2, 42 Sort 5, 17044, -3. -3, 5, 17044 Sort -2/15, -60, 5, 0.4 in descending order. 5, 0.4, -2/15, -60 Sort 10, 66, 3, -4, 2. -4, 2, 3, 10, 66 Put -182, 55, 5.1, 2 in descending order. 55, 5.1, 2, -182 Put 3.9, 1/5, 2/9, -0.178 in increasing order. -0.178, 1/5, 2/9, 3.9 Sort -674, -4, -5, 3 in descending order. 3, -4, -5, -674 Sort 0, -1192, 5 in increasing order. -1192, 0, 5 Put 3, 1, -5, 36, 13, -2 in descending order. 36, 13, 3, 1, -2, -5 Sort 2, -185, -2752 in descending order. 2, -185, -2752 Sort -15, -5, -1972. -1972, -15, -5 Put 2/7, 5/4, 242 in increasing order. 2/7, 5/4, 242 Put 4/9, 8/5, 2/21, -0.5, -1, 0.03 in descending order. 8/5, 4/9, 2/21, 0.03, -0.5, -1 Sort -0.4, 2, 9, 1, -2/843 in ascending order. -0.4, -2/843, 1, 2, 9 Sort 3, -61, -3, 47, -1. -61, -3, -1, 3, 47 Sort -4, -2, 4, -3, -1, 55 in increasing order. -4, -3, -2, -1, 4, 55 Put 0, 4, 5, -7/18, -5, -0.4 in descending order. 5, 4, 0, -7/18, -0.4, -5 Put 9, -2, -66 in decreasing order. 9, -2, -66 Sort -0.2, 38, 3811 in increasing order. -0.2, 38, 3811 Sort -59, 3, 21, -2, 2 in decreasing order. 21, 3, 2, -2, -59 Sort -3, 30, 41. -3, 30, 41 Sort -4, -64, 0.0187. -64, -4, 0.0187 Put 1, -9, 6, 0, 7 in increasing order. -9, 0, 1, 6, 7 Put 0.1, -11, 2/7, -2, -413 in decreasing order. 2/7, 0.1, -2, -11, -413 Put -4/3, 4/83, 4/51 in ascending order. -4/3, 4/83, 4/51 Put -2/9, -14/3, -7, -31 in descending order. -2/9, -14/3, -7, -31 Sort 7, -93, -7, -3, 1, -6 in decreasing order. 7, 1, -3, -6, -7, -93 Sort 4, -1/4, 0, 0.1, -0.3, 0.1723. -0.3, -1/4, 0, 0.1, 0.1723, 4 Sort 8/3, 38/5, -5, 4, -3/5 in ascending order. -5, -3/5, 8/3, 4, 38/5 Sort -2, 13, -3, -1, 11 in ascending order. -3, -2, -1, 11, 13 Sort -3, 8, -7761 in increasing order. -7761, -3, 8 Sort -6, 5, 6, 1033, -3, 1 in descending order. 1033, 6, 5, 1, -3, -6 Sort -485, -2, 24, -1. -485, -2, -1, 24 Put -4, -27, 74, 2, -5 in increasing order. -27, -5, -4, 2, 74 Put 994, 5, 145 in increasing order. 5, 145, 994 Sort
{ "pile_set_name": "DM Mathematics" }
suming u is positive. u**(-113/24) Simplify (k/(k/(k*(k/(k*k*k**(-2)*k))/k)))**(-16)/(k*(k/(k*k*(k*k**(-5))/k))/k*k**(-9)) assuming k is positive. k**5 Simplify ((c*c*c*c**(-2/3)*c)**(10/3))**5 assuming c is positive. c**(500/9) Simplify (c**(2/9))**(-9/4)/(c**(-7)*c**(2/9)*c) assuming c is positive. c**(95/18) Simplify ((s**(-2/7)/s)/(s*s*s*s**1*s))**(-48) assuming s is positive. s**(2112/7) Simplify (u*u*u*u**(-9)/u*u)**(3/16) assuming u is positive. u**(-9/8) Simplify c/c**10*c*c*c**(-11/5) assuming c is positive. c**(-46/5) Simplify ((i**(2/3))**(-36))**46 assuming i is positive. i**(-1104) Simplify (z/z**(-7))**(-5/2) assuming z is positive. z**(-20) Simplify p**(-5/7)/(p/(p*p**37/p*p)) assuming p is positive. p**(254/7) Simplify (x/(x/(x/(x*x/(x/(x/(x/(x/x**(1/4)))*x))))*x)*x**(-2))**(-7) assuming x is positive. x**(133/4) Simplify ((z/(z/z**(-2/7)))/z**(-2))/((z*z**(-1/2))/z*z**(-2/9)) assuming z is positive. z**(307/126) Simplify d**(-10)*d**(-16) assuming d is positive. d**(-26) Simplify (s**4/s**(-1/6))/(s**(-1/2)*s*s)**(-2/73) assuming s is positive. s**(1843/438) Simplify (g*g**(-12)*g*g**(-4/5))**(-21/2) assuming g is positive. g**(567/5) Simplify ((a/a**19)/a)**(-23) assuming a is positive. a**437 Simplify c**(-18)/c*c*c**20 assuming c is positive. c**2 Simplify ((v/(v**(-5)/v))/v**1)**(7/6) assuming v is positive. v**7 Simplify (o/o**18*o**3)**(-2/35) assuming o is positive. o**(4/5) Simplify (x**0*x**8*x)**(2/67) assuming x is positive. x**(18/67) Simplify (p**1/p*p/p**(1/5))/(p**(-2)*p**(1/4)) assuming p is positive. p**(51/20) Simplify (a**(6/11)/(a/(a*a**6)))/(a**6/((a**(-2/13)/a*a*a)/a)) assuming a is positive. a**(56/143) Simplify (y*y**4/y*y)/y*y/(y*y*(y/(y/(y*y*y**(-7))))/y)*((y*y**2)/y)/(y/y**(-4)) assuming y is positive. y**6 Simplify (q**(-1)/((q/q**(2/7)*q)/q))**(-8) assuming q is positive. q**(96/7) Simplify w/w**(1/9)*w**(3/10)*w**(-2)*w**(-3) assuming w is positive. w**(-343/90) Simplify p**(-2)/(p/p**7)*(p*p**(2/5))**(-44) assuming p is positive. p**(-288/5) Simplify ((o*o/(o*o**(-2/37)))/o)/(o/o**(-2/5)) assuming o is positive. o**(-249/185) Simplify i/(i**(-2/3)*i)*i**(2/3)/i*((i/(i/i**0)*i)/i)**(4/11) assuming i is positive. i**(1/3) Simplify ((v**8)**45)**(-6/5) assuming v is positive. v**(-432) Simplify n/n**(2/29)*n/(((n/n**19)/n)/n) assuming n is positive. n**(636/29) Simplify w**(2/41)*w**(-3/8) assuming w is positive. w**(-107/328) Simplify ((i**3/i)/i*i*i**(-4))**(-43) assuming i is positive. i**86 Simplify s**16/(s/s**(-4/5)) assuming s is positive. s**(71/5) Simplify (w/w**(-4))/(w/(w*w/(w/((w*w**(-5/4))/w)))) assuming w is positive. w**(15/4) Simplify (i**(-3))**(2/141) assuming i is positive. i**(-2/47) Simplify (c/c**(-9))/(c/((c*c**0/c)/c)) assuming c is positive. c**8 Simplify l/(l*l**(3/5))*l/(l*l**(1/18)) assuming l is positive. l**(-59/90) Simplify (r**(-1))**37/(r**(-2/9))**(1/5) assuming r is positive. r**(-1663/45) Simplify ((s/(s**(-2/13)/s))/s)/(s/(s/(s/(s**3*s)))) assuming s is positive. s**(54/13) Simplify ((d/((d/(d/d**(-6)))/d))/d**(4/5))**(-14) assuming d is positive. d**(-504/5) Simplify ((q**0/q)/q)/q**17 assuming q is positive. q**(-19) Simplify (q*q**(-1/2))**(-1/7)*(q/((q**(-6/5)/q)/q))/q**2 assuming q is positive. q**(149/70) Simplify ((p*p**(-6))/((p/p**(-1/5)*p*p*p)/p))**(-5/3) assuming p is positive. p**(41/3) Simplify (f**(-2/3))**(24/5)*(f*f**(-1)*f)**(-3/2) assuming f is positive. f**(-47/10) Simplify (a*a**(-2/15))**(4/3) assuming a is positive. a**(52/45) Simplify ((x/x**(-1))/x)**(3/5)*x**(-2/9)*x**(-3) assuming x is positive. x**(-118/45) Simplify (w*w/(w*w*(w*(w/((w*w*w**21*w)/w))/w)/w*w))/w**(30/7) assuming w is positive. w**(124/7) Simplify (((k/((k/k**(-2/13))/k)*k*k)/k)**(-20))**(2/37) assuming k is positive. k**(-960/481) Simplify s/s**(1/10)*(s/s**(-4/9))/s*s assuming s is positive. s**(211/90) Simplify (y*y*y**1)**(1/6)*(y/(y/(y**(-5)/y)))/(y**(-3)/y) assuming y is positive. y**(-3/2) Simplify b*b**2*(b*b**(-13))/b assuming b is positive. b**(-10) Simplify q**(-8/3)*q**(-6/7) assuming q is positive. q**(-74/21) Simplify u**(4/5)/u**(-5/6) assuming u is positive. u**(49/30) Simplify q**(-1)/(q/(q**(4/5)/q)*q)*(q*q/(q*q**6))/(((q*q/(q/(q/q**(-3)*q)))/q)/q) assuming q is positive. q**(-61/5) Simplify (z/(z*(z*z/((((z**(-2/5)*z)/z)/z*z)/z)*z)/z))**(-2)/(z/(z/z**(-2/7)))**(-2/31) assuming z is positive. z**(7358/1085) Simplify ((s/((s/(s/(s*(s/(s*s**(2/15)))/s*s*s)))/s))/(s*s/s**(1/8)))**(-49) assuming s is positive. s**(10241/120) Simplify ((r**0/r)/r)**(1/21)*(r*r**(-1/4))**40 assuming r is positive. r**(628/21) Simplify (q**(-6))**(2/7) assuming q is positive. q**(-12/7) Simplify ((d*d**4)/d*d**(-2/11)/d*d)**(-42) assuming d is positive. d**(-1764/11) Simplify m**(2/7)*m*m**1/m*(m/(m**0/m)*m*m)**9 assuming m is positive. m**(261/7) Simplify p**(-4/5)/p*p**(-3) assuming p is positive. p**(-24/5) Simplify a*a**(-1)*a/(a**(3/5)/a*a*a)*(a/a**(2/13))/a**(-2/19) assuming a is positive. a**(434/1235) Simplify (((r/(r/((((r/(r**0/r)*r)/r)/r)/r)))/r)**(-44))**34 assuming r is positive. r**1496 Simplify ((b**(-1)/b)/b*b**(-11))**28 assuming b is positive. b**(-392) Simplify ((q*q/q**(-2/11))**(-1/5))**43 assuming q is positive. q**(-1032/55) Simplify y*y**31*y/y**(-26) assuming y is positive. y**59 Simplify (((n**(-1/3)/n*n)/n)**24)**(-1/18) assuming n is positive. n**(16/9) Simplify (w/(w*w**2*w)*w*w/w**(2/5))/(w**(-1)/w)**23 assuming w is positive. w**(223/5) Simplify h**0/h**(-2)*h/(h*h**(-3)*h)*(h*h**(-1/4))/h assuming h is positive. h**(15/4) Simplify (h/h**(-3/19)*h)/h**5 assuming h is positive. h**(-54/19) Simplify j/(j/j**(1/11))*j**(-4)*j assuming j is positive. j**(-32/11) Simplify (c**(-5/6))**(-13) assuming c is positive. c**(65/6) Simplify (m**(-1/17)/m)**(1/5) assuming m is positive. m**(-18/85) Simplify c*c/c**10*(c**(-3)*c)/c assuming c is positive. c**(-11) Simplify d**(-16)*d*(d*d*(d**14/d)/d*d)/d assuming d is positive. 1/d Simplify (d/(d*d**(2/11)))/(d*d**(-20)) assuming d is positive. d**(207/11) Simplify u**(3/4)/u*u*u**(-13)*u assuming u is positive. u**(-45/4) Simplify (l*l/(l/l**(-7))*l**(9/4)*l)**(2/11) assuming l is positive. 1/sqrt(l) Simplify (h/(h*(h/(h/(h/(h*h*h/(h**(-4/9)*h*h)))))/h))**(-3) assuming h is positive. h**(-13/3) Simplify (q*q*q**(6/11)/q)/(q/(q*q**18)) assuming q is positive. q**(215/11) Simplify ((y/y**(2/7))/(y*y*y**(-2/17)))**(-15/8) assuming y is positive. y**(2085/952) Simplify (o*o**(-37))**13 assuming o is positive. o**(-468) Simplify y/(y*y/(y*y**(5/2)*y))*y**27 assuming y is positive. y**(61/2) Simplify (w*w**(-2/11))**20 assuming w is positive. w**(180/11) Simplify (u**(-12))**(9/7) assuming u is positive. u**(-108/7) Simplify a**(-1/21)*a**(-3)/a*a assuming a is positive. a**(-64/21) Simplify (w*w*w**0*w)**(-3/28)/(w**7/w**6) assuming w is positive. w**(-37/28) Simplify (c**1*c)**(-5)*c**1*(c*c**(-2/13)/c*c)/c assuming c is positive. c**(-119/13) Simplify (m*m*m/(m*m**(2/5)/m*m))/(m**(-3/4)/m) assuming m is positive. m**(67/20) Simplify ((z**(-7)*z)/z*z/(z/(z*z**(5/2)))*z)**(-47) assuming z is positive. z**(235/2) Simplify (c**(-1/7)*c)/c**(-7/2) assuming c is positive. c**(61/14) Simplify ((t/(t**(2/7)*t))/((t**5/t*t)/t))/(t*t*t**0*t)**13 assuming t is positive. t**(-303/7) Simplify d**(-2/33)/(d*d/d**(-7/4))*(d**2)**(1/33) assuming d is positive. d**(-15/4) Simplify (j**0)**(-3/28)*(j**0)**(2/71) assuming j is positive. 1 Simplify (c*c*c**(-1))**(-22) assuming c is positive. c**(-22) Simplify (p**(-2/7)/p)/(((p*p**(-2/11)/p)/p)/p) assuming p is positive. p**(69/77) Simplify (z**16*z/(z/z**20))**(-28) assuming z is positive. z**(-1008) Simplify (c*c*c**(3/28))/c**29 assuming c is positive. c**(-753/28) Simplify (z**(-4/3)/(z**(-2/25)*z))**(2/7) assuming z is positive. z**(-338/525) Simplify (s*s**1/s)**35/(s**(-4)*s**(-4/9)*s) assuming s is positive. s**(346/9) Simplify (u**(-2/7))**(10/13)*u**(-1/4)/u*u**(1/3) assuming u is positive. u**(-1241/1092) Simplify (o**4/((o*o*o/o**0*o)/o))/(o**(-8)/o**(-4)) assuming o is positive. o**5 Simplify (x**(1/2))**(-1/7) assuming x is positive. x**(-1/14) Simplify ((n/(n/(n**(9/5)/n*n)))/n**(-17))**(5/4) assuming n is positive. n**(47/2) Simplify ((m*m**(-1/5)*m*m)**(-3/17)
{ "pile_set_name": "DM Mathematics" }
late the highest common divisor of a and 24. 8 Suppose -160 = -4*p - 2*t, 153 = 4*p + 4*t - 15. Calculate the greatest common divisor of 247 and p. 19 Suppose 0 = 3*h - 5*c - 311, 4*c - 570 = -5*h + 2*c. Suppose 0 = y - 5*y + h. Suppose -5*v + y + 17 = 0. What is the greatest common divisor of v and 54? 9 Suppose 0 = 4*a - 0*a - 64. Let h(j) = j**3 - 16*j**2 + j - 17. Let d be h(a). Let u be (4 - d)*6/15. What is the greatest common factor of u and 10? 2 Suppose 0 = -3*m + 2*m + 3*r + 93, 0 = 3*r - 6. Suppose c = 2*c - 132. Let k be c/12 - (0 - -2). Calculate the highest common factor of m and k. 9 Suppose 50*y + 36 = 54*y. What is the highest common factor of y and 36? 9 Let h be (7/(-2))/(1 + 290/(-280)). What is the highest common divisor of 2 and h? 2 Suppose -57*n + 55*n = -66. Suppose -5*b - x + 6*x + 1310 = 0, 0 = -4*b - 4*x + 1064. Calculate the greatest common divisor of b and n. 33 Let v = -744 - -764. Calculate the greatest common factor of 110 and v. 10 Let x be 154/3 - (-4)/(-3). Calculate the highest common divisor of x and 30. 10 Let b be 6/4 - (75/(-10) + 4). Suppose 0 = 2*v - 83 - 27. Calculate the highest common divisor of b and v. 5 Let i be ((-6)/(-4) + -2)/((-18)/2268). Suppose -12*z + i = -11*z. What is the greatest common divisor of 27 and z? 9 Suppose 0 = 9*f - 17 - 28. Let p(m) = -m**3 + 6*m**2 + 7*m + 2. Let b be p(f). Calculate the greatest common divisor of b and 155. 31 Let q be 2*8606/60 + 118/885. Calculate the highest common factor of 41 and q. 41 Let s = 51 + -59. Let v be (1 + 2*(-36)/s)*10. Calculate the highest common divisor of v and 40. 20 Let z = -539 + 611. Calculate the greatest common divisor of z and 180. 36 Let u be -4*(-2 - (-26)/(-8)). Calculate the highest common divisor of u and 203. 7 Suppose -21 - 19 = -4*l. Suppose -l*s - 2*s = -72. Calculate the greatest common factor of s and 15. 3 Let w be ((33/(-4))/(-11))/((-1)/(-4)). What is the highest common factor of 3 and w? 3 Let x be (-2)/5 + (-36)/(-15). Let u be -70*((-1 - x) + 2). What is the highest common divisor of u and 10? 10 Let v be (-3)/4 + 1 - 1615/(-20). Let a = 7 - 3. Let q be a/(-14) - (-382)/14. Calculate the greatest common factor of q and v. 27 Suppose -5*m + 4*q + 207 = 0, -84 = 3*m - 5*m + q. What is the greatest common factor of m and 989? 43 Suppose -44*m = -87*m + 559. What is the greatest common divisor of 1625 and m? 13 Let y(j) = j**3 - 14*j**2 + 20*j - 1. Let o be y(13). What is the greatest common factor of o and 80? 10 Let t be 4 + -7 + 271 + 2. Suppose 5*s + t = 2*o, -5*o = 4*s - 548 - 127. Calculate the highest common factor of 15 and o. 15 Let f be 2/3*21/2. Suppose 3*a - 8 - f = 0. Suppose -a*t + 3*d + 140 = 0, -t = t - d - 56. What is the greatest common divisor of 4 and t? 4 Let o(m) = -2*m - 11. Let z be o(-12). Suppose 5*q = -3*d + 75, -z = d + 4*q - 31. Calculate the highest common factor of 270 and d. 30 Suppose -5*g + 8*g = 1653. Suppose -5*a + g = -i, -a + 3*a + 3*i = 217. Calculate the highest common divisor of 10 and a. 10 Suppose w = 35 - 10. Suppose -w - 11 = -4*f. What is the greatest common factor of 1 and f? 1 Suppose -8*z - 33 = -4*w - 7*z, -2*w - 5*z = -11. What is the highest common divisor of w and 312? 8 Let r be (-2 - (1 + -5 + 0)) + -1. Let q be r*55 - -1*(-3 + 2). Calculate the highest common factor of 6 and q. 6 Let g = 163 + -55. Let m = g - 72. What is the greatest common divisor of m and 4? 4 Suppose r - 6 = -3. Suppose -r*c + 390 = 39. What is the highest common divisor of c and 78? 39 Let f be 3276/(-54)*(-60)/8. What is the greatest common divisor of 70 and f? 35 Let m = -6 - -11. Suppose r + 4*j - 140 = 0, 4*r = 3*r + m*j + 167. Let n = r + -64. What is the highest common factor of 22 and n? 22 Let g = 197 + 131. What is the highest common divisor of 123 and g? 41 Let g(f) = 2*f**2 + 33*f + 170. Let l be g(-8). Calculate the highest common divisor of 221 and l. 17 Suppose 9*w - 295 = 200. Calculate the greatest common divisor of 55 and w. 55 Let x(b) = -b**2 + 9*b + 18. Let f be x(10). Suppose 4*j = -m - 2 - f, -3*j = m + 14. Let g = -22 - m. What is the greatest common factor of g and 4? 4 Suppose -2*d + 2*p = -404, -d + 2*p = -6*d + 1003. What is the greatest common divisor of 268 and d? 67 Suppose -30 - 294 = -3*k. Suppose 8*y + 75 + 141 = 0. Let j(p) = -p**2 - 29*p - 42. Let x be j(y). Calculate the highest common factor of x and k. 12 Let u be (-42)/(-11) - 8/(-44). Suppose 2*y = y - u. Let m be (-1)/(-4)*(-112)/y. Calculate the highest common divisor of 56 and m. 7 Suppose -687 = -2*z - 3*x + 2*x, 0 = 5*z - 5*x - 1725. Calculate the highest common divisor of z and 129. 43 Let c = -301 - -303. Calculate the greatest common divisor of c and 8. 2 Suppose 2*o + i = 238, 2*i + 0*i = 5*o - 577. Let j = o + -92. Calculate the greatest common factor of 175 and j. 25 Suppose 18*a = 291 + 1293. Suppose n - 7 = 2*u, -4*u = -3*n - 7*u + 30. Suppose -y - n + 31 = 0. Calculate the highest common factor of a and y. 22 Suppose -56 - 70 = 9*n. Let b = n + 21. Calculate the highest common divisor of b and 70. 7 Suppose 14*q + 2*g = 17*q - 1138, -g = 2*q - 761. What is the greatest common divisor of 20 and q? 20 Let y = 5 - 13. Let p = y - -11. What is the highest common divisor of 15 and p? 3 Let f(x) = 2*x + 8. Suppose w - 4 = 0, 4*q = -w + 43 - 15. Let s be f(q). What is the greatest common factor of 220 and s? 20 Let u be (2/1)/4*8. Suppose 2*m - 64 = 2*d - 3*m, d - 5*m = -42. Let v = -12 - d. Calculate the highest common factor of v and u. 2 Let i be (-1 - 14/(-6))/((-12)/306). Let t be 10/(30/i + 2 - 1). Calculate the highest common factor of t and 34. 17 Suppose 67*t - 75*t = -1056. Calculate the highest common factor of 55 and t. 11 Suppose 9*u + 4478 - 410 = 0. Let x be 2/(-15) + -2 + u/(-15). Calculate the highest common factor of 21 and x. 7 Suppose -4410 = -11*c - 31*c. What is the greatest common divisor of c and 1680? 105 Suppose -3*v + 646 = 2*q, v + 32*q - 212 = 28*q. Calculate the highest common factor of v and 8. 8 Let z(p) = -2*p**3 - 8*p**2 + 4*p - 15. Let r be z(-5). Suppose 5*f = 8*f - 105. What is the greatest common factor of f and r? 5 Let i be 5*1 - (-2)/(10/125). What is the highest common divisor of i and 6? 6 Let c be -90*((-226)/52 - 84/546). What is the greatest common divisor of 216 and c? 27 Let o(k) be the first derivative of 17*k**2/2 + 15*k - 5. Let i be o(-7). Let h = i - -182. What is the highest common factor of h and 26? 26 Let d be (-3 - -18)*(-24)/(-36). Let a be (-35)/10*20/(-7). Calculate the greatest common factor of d and a. 10 Let o be (-7)/((-28)/184) + 1*-4. What is the greatest common factor of o and 105? 21 Suppose 0 = -w - 2*w + 504. Suppose -14 = -4*m + 82. What is the highest common factor of w and m? 24 Suppose 0 = -5*n + 2*m + 145, -4*m = 21*n - 22*n + 29. What is the greatest common divisor of 116 and n? 29 Suppose 0 = u - 163 - 83. Let n be 4/(-26) - u/(-78). Let h be (-2 - -3) + (n - 1). Calculate the greatest common divisor of 12 and h. 3 Let k be 2/(2 - 4) - -22. Suppose -7*q + 747 - 159 = 0. Calculate the highest common factor of k and q. 21 Let t(p) = 8*p**2 + 3*p + 2. Let g be t(-1). Let l be 38/g + 24/42. Suppose 2*b - l*b = -140. Calculate the highest common divisor of 315 and b. 35 Suppose 3 + 16 = g. Suppose 0 = 7*o - 8*o + 38. Calculate the highest common divisor of g and o. 19 Suppose -4*l + 2*f + 160 + 22 = 0, -2*f = -2. Calculate the greatest common divisor of l and 437. 23 Let m be 5 + 0*(-2 - -3). Suppose 5*p + s - 96 = 181, -2*p - m*s = -97. Let f be 4 + (-1 - 5/(-1)). What is the greatest common divisor of p and f? 8 Suppose g = 3*n - 11, 0*g = -4*g - 20. What is the highest common factor of n and 15? 1 Let n = -112 + 134. Suppose -7*l + 12*l - 3*h - 62 = 0, -3*h = -l + n. Let b be 24/(-3)*(-30)/8. Calculate the greatest common divisor of l and b. 10 Let u(k) = -3*k**3 + 154*k**2 - 78*k + 1394. Let w be u(51). Suppose -3 = -4*o + 65. What is the greatest common divisor of w and o? 17 Suppose -3*x - 3*v - 1 = -4*x, x + 5*v - 1 = 0. Let z = -15 - -17. Let u be (-99)/6*(-3)/(9/z). Calculate the highest common factor of u and x. 1 Suppose -30*b = -43*b + 624. Let p be (63/(-2))/((-9)/12). Let w = p + -18. Calculate the gre
{ "pile_set_name": "DM Mathematics" }
63*c**3. -c**3 Collect the terms in 36*c**2 - c**2 + 24*c**2 - 3*c**2. 56*c**2 Collect the terms in 2*n**3 + 5*n**3 - 43*n - 2*n**3 + 43*n. 5*n**3 Collect the terms in -37*s**3 + 38*s**3 + s - s + 0*s. s**3 Collect the terms in -579*n - 579*n + 1158*n - 7*n**2. -7*n**2 Collect the terms in 2*t**2 + 57802*t - 57802*t. 2*t**2 Collect the terms in 303 + 0*x**2 + 42 + 3*x**2 - 3*x - 2*x**2. x**2 - 3*x + 345 Collect the terms in -29*r**2 - 6*r + 33*r**2 + 6*r. 4*r**2 Collect the terms in -53*t - 62*t + 11*t. -104*t Collect the terms in -18*g**2 + 11*g**2 + 11*g**2 + 9*g**2. 13*g**2 Collect the terms in 130*a**2 + 5 - 121*a**2 - 5. 9*a**2 Collect the terms in -4 + 4 + 74102*k - 74101*k. k Collect the terms in 23*k + 8 - 8. 23*k Collect the terms in 16*x**2 - 22*x**2 - x**2. -7*x**2 Collect the terms in 1035 - 14*n**3 - 1035. -14*n**3 Collect the terms in -13*q**2 + 4*q**2 + 7*q**2. -2*q**2 Collect the terms in -4*i**3 + 34*i - 34*i - 3*i**3. -7*i**3 Collect the terms in -k - 5 - 4*k + 4*k. -k - 5 Collect the terms in -3 - 4 + 1 - 6*y**2. -6*y**2 - 6 Collect the terms in 3371*i**2 - 1683*i**2 - 1690*i**2. -2*i**2 Collect the terms in -137*v + 268*v - 122*v. 9*v Collect the terms in 158*n**2 - 330*n**2 + 154*n**2. -18*n**2 Collect the terms in -379*n + 190*n - 2*n**2 + 189*n. -2*n**2 Collect the terms in 45*s**3 + 47*s**3 - 86*s**3. 6*s**3 Collect the terms in -374*x + 189*x + 186*x. x Collect the terms in -7 + 7 + 7*g**3 - 2*g**3. 5*g**3 Collect the terms in -93*y**2 + 186*y**2 - 90*y**2. 3*y**2 Collect the terms in -5*y - 8 + 9 - 1. -5*y Collect the terms in -15*c - 69*c + 4*c**2 + 84*c. 4*c**2 Collect the terms in 46 - 122 + 32 + 44 - s. -s Collect the terms in 12*y**2 - 10*y**3 + 20*y**2 - 38*y**2. -10*y**3 - 6*y**2 Collect the terms in -19*m**2 + 2*m**2 - 44*m**2. -61*m**2 Collect the terms in 5*u**2 + u**2 + 12*u**2. 18*u**2 Collect the terms in -28*v**2 + 14*v**2 + 8*v**2. -6*v**2 Collect the terms in 0 + 10*h + 2 + 14*h. 24*h + 2 Collect the terms in 87*d**2 - 11*d**2 - 73*d**2. 3*d**2 Collect the terms in -2 + 2 - 42*u**2 + 0. -42*u**2 Collect the terms in -22 + 22 - 252*x. -252*x Collect the terms in 27 + 2*p**3 - 13 - 14. 2*p**3 Collect the terms in 861*h - 435*h - 438*h. -12*h Collect the terms in 596*n - 1188*n + 593*n. n Collect the terms in 37*y**2 - 17*y**2 - 34*y**2. -14*y**2 Collect the terms in -51*w + 2*w**2 - 42*w - 49*w + 165*w - 23*w. 2*w**2 Collect the terms in 2*z**2 - 4*z**2 - 3*z**2. -5*z**2 Collect the terms in -2*h**3 - 4147*h**2 + 4147*h**2. -2*h**3 Collect the terms in -20*o + 6*o + 13*o. -o Collect the terms in 204*t - 410*t + 205*t. -t Collect the terms in 11*a**2 + 7*a**2 + 5*a - 3*a. 18*a**2 + 2*a Collect the terms in -11 + 669*d**3 + 11 - 663*d**3. 6*d**3 Collect the terms in -7746*k**2 + 0*k + 0*k + 7770*k**2. 24*k**2 Collect the terms in 9 + 1 - 10 - 17*i**3. -17*i**3 Collect the terms in 23 + 19*n**3 - 18*n**3 - 23. n**3 Collect the terms in j**3 - 4*j**3 + 59*j - 116*j + 60*j. -3*j**3 + 3*j Collect the terms in 1 - 1766*y - 1. -1766*y Collect the terms in 1307 + w + 1301 - 2608 - 2*w. -w Collect the terms in -918*s**2 + 921*s**2 + 1 - 1. 3*s**2 Collect the terms in 3*t**2 - 5*t**2 + 0*t**2 - 8*t**2 + 4*t**2. -6*t**2 Collect the terms in -16*y + 2*y + 16*y. 2*y Collect the terms in -112704*a + 2*a**2 + 112704*a. 2*a**2 Collect the terms in 134 - 134 + 13*j. 13*j Collect the terms in 2*s - 2*s - 714*s**3. -714*s**3 Collect the terms in 7*u**2 - u**2 + 8*u**2 - 3*u**2. 11*u**2 Collect the terms in 10*r**3 + 0*r**3 - 4*r**3. 6*r**3 Collect the terms in 731*g**2 + 2 - 727*g**2 - 2. 4*g**2 Collect the terms in 61 + 55 - 6*x - 116. -6*x Collect the terms in -2 - 2*w**2 - 31*w + 0 + 1. -2*w**2 - 31*w - 1 Collect the terms in 28*c**3 + 10*c**3 + 18*c**3. 56*c**3 Collect the terms in -88*d**2 - 2 + 1 - 4 + 34*d**2. -54*d**2 - 5 Collect the terms in -11*c**3 + 19*c**3 + 16*c**3. 24*c**3 Collect the terms in -4 + 746*m**2 + 4 + 790*m**2. 1536*m**2 Collect the terms in -4*z - 3*z + 18*z - 7*z. 4*z Collect the terms in 131*i - 384*i + 127*i + 126*i + 2*i**2. 2*i**2 Collect the terms in 16*a**2 + 10*a**2 - 8*a**2 - a**2. 17*a**2 Collect the terms in 2653*f**3 - 2648*f**3 - 5*f + 5*f. 5*f**3 Collect the terms in -16*y**2 - 6*y**2 - 20*y**2 - 27*y**2. -69*y**2 Collect the terms in 153*d - 243*d - 63*d. -153*d Collect the terms in 5*l + 419*l**2 - 5*l. 419*l**2 Collect the terms in -25*w**2 + 0*w**2 - 14*w**2. -39*w**2 Collect the terms in -28*k**2 - 29*k**2 + 107*k**2 - 38*k**2 - 27*k**2. -15*k**2 Collect the terms in 77*o + 42*o + 44*o. 163*o Collect the terms in 2*z**2 - 393*z + 393*z. 2*z**2 Collect the terms in -883 + 883 + 4*g. 4*g Collect the terms in 57809*n - 57809*n + 2*n**3. 2*n**3 Collect the terms in 321 - 646 + 325 - 10*x**3. -10*x**3 Collect the terms in 14*s**3 + 221 - 444 + 225. 14*s**3 + 2 Collect the terms in -3 + 4 - 122*x**2 - 11*x**2. -133*x**2 + 1 Collect the terms in -112*j + 58*j + 60*j. 6*j Collect the terms in 51*k + 43*k - 118*k. -24*k Collect the terms in -6*o**3 - 5*o**3 - 4*o**3 + 17*o**3. 2*o**3 Collect the terms in -145*o + 428*o - 141*o - 142*o - 2*o**2. -2*o**2 Collect the terms in -411*i + 1 + 410*i - 1. -i Collect the terms in -12*b**2 - 15*b**2 + 23*b**2. -4*b**2 Collect the terms in -6530278 + 6*j - 2*j - 3*j + 6530278. j Collect the terms in -3*s**2 - s**2 + 4*s**2 + 2*s**2. 2*s**2 Collect the terms in 8998 - 8998 + 86*w**2. 86*w**2 Collect the terms in x**2 + 184*x + 0*x**2 - 184*x. x**2 Collect the terms in 96*n**2 + 114*n**2 + 103*n**2 + 152*n**2. 465*n**2 Collect the terms in 83*i + 2*i - 2 + 1. 85*i - 1 Collect the terms in 350*c**3 - 172*c**3 - 170*c**3. 8*c**3 Collect the terms in 83*u**3 - 72*u**3 + 8*u - 8*u. 11*u**3 Collect the terms in -17*x + 5*x + x + 15*x. 4*x Collect the terms in 100*n - 27*n - 28*n - 22*n - 24*n. -n Collect the terms in -203*z + 108*z + 93*z. -2*z Collect the terms in 4*o - 4*o + 2*o. 2*o Collect the terms in -9346*x + 8 - 8. -9346*x Collect the terms in 2 + 15*y**2 - 12*y**2 - 2. 3*y**2 Collect the terms in -n**3 - 22*n**2 + 4*n**3 + 8*n**2. 3*n**3 - 14*n**2 Collect the terms in -8*x - 8*x + 0*x - 6*x. -22*x Collect the terms in 1 + 411*j - 1 - 410*j. j Collect the terms in -2*k**3 + 23717*k**2 - 23717*k**2. -2*k**3 Collect the terms in -39*q - 57*q - 39*q - 45*q + 181*q. q Collect the terms in 6*n + 28*n + 40*n. 74*n Collect the terms in -48*q**2 + 21*q**2 + 18*q**2. -9*q**2 Collect the terms in 13*z + 588*z**3 - 13*z. 588*z**3 Collect the terms in 5*d**2 - 4*d**2 + 5*d**2. 6*d**2 Collect the terms in 2*i - 67*i - 7*i. -72*i Collect the terms in 3*g + 2*g - 8*g + 11*g**2. 11*g**2 - 3*g Collect the terms in j**2 + 919*j - 1831*j + 912*j. j**2 Collect the terms in -1413*d - d**2 - 37 + 37 + 1413*d. -d**2 Collect the terms in -18 - 22 - 5*z + 40. -5*z Collect the terms in -23*u + 99 - 99. -23*u Collect the terms in 18*m**3 - 12*m**3 - 8*m**3. -2*m**3 Collect the terms in 2 - 2348078*p**2 - 2 + 2348081*p**2. 3*p**2 Collect the terms in -552*t**2 + 267*t**2 + 284*t**2. -t**2 Collect the terms in -2*n + n + 151 - n. -2*n + 151 Collect the terms in -21 - 24 + 69 - 24 - 8*f**2. -8*f**2 Collect the terms in -11127 + 11127 + 21*r. 21*r Collect the terms in 4*f - 2*f + 4*f - 12*f. -6*f Collect the terms in 28*z**2 + 1637*z - 1637*z. 28*z**2 Collect the terms in 0*m - 16 + 25 + m + 47. m + 56 Collect the terms in 76273 - 3*n - 76273. -3*n Collect the terms in 47*h**3 - 28*h**3 - 23*h**3. -4*h**3 Collect the terms in -720 + 720 + 10*h**2. 10*h**2 Collect the terms in -4 + 113*g - 8 + 12 - 108*g. 5*g Collect the terms in 3*r**2 + 3*r**2 + 4 - 4. 6*r**2 Collect the terms in -10 - 2*u**3 + 10. -2*u**3 Collect the terms in 1 + 190*r - 167*r - 1. 23*r Collect the terms in 4*h**3 + 3*h**3 - 3*h**3. 4*h**3 Collect the terms in -9*z**3 - 6*z**3 + 17*z**3. 2*z**3 Collect the terms in 8*t**2 - 15*t**3 + 23*t**3 + 0*t**2 - 8*t**2. 8*t**3 Collect the terms in -16*t + 6*t - 7*t. -17*t Collect the terms in -33*l - 32*l - 6*l**2 + 104*l - 39*l. -6*l**2 Collect the terms in 17*h**2 - 56*h**2 + 54*h**2. 15*h**2 Collect the terms in 7*y - 2905316 + 2905316. 7*y Collect the terms in -27*y + 5 + 13*y + 10*y. -4*y + 5 Collect the terms in -65*m + 1 + 1 - 15*m + 1. -80*m + 3 Collect t
{ "pile_set_name": "DM Mathematics" }
p = -97 + 130. Let u = p - 40. Is u less than or equal to m? True Let y = -13 - -15. Suppose -2*r - 13 = y*f - 45, -5*r = 2*f - 80. Suppose -o + 26*l - 25*l = -15, -2*o + 3*l + 28 = 0. Are r and o nonequal? True Let y = 4767 + -4765. Which is smaller: -468 or y? -468 Suppose -130*w + 37 = 5107. Which is smaller: w or 10? w Let r = -44853 + 14218382/317. Which is greater: 0 or r? 0 Let r = -11835 + 11823. Which is smaller: r or -516? -516 Let m be ((-2)/(-3))/((-174)/(-54) + -3). Let x be (-42)/(-63) - (-13)/m. Which is greater: x or 23/5? x Let b = 1.25 - -5.95. Let q = 127.2 - b. Let s = 90 - q. Is s not equal to 2/3? True Let c = -5 + 5. Suppose -1 = -3*v + 11. Let n be -2 + v + -1 + -3 + 2. Is c bigger than n? False Let m = 2374 - 750. Let b be (m/(-1537) + 1/1)/(-3). Is 0 not equal to b? True Let s(i) = 5*i**3 - i**2 - 223*i + 16. Let d be s(-7). Which is bigger: -182 or d? -182 Let t = -738 - -695.1. Is t >= 4? False Let n = -98 - -104. Suppose 0 = -6*h + 3*h + n, -4*x = -2*h + 100. Is x bigger than -24? False Suppose -2*c + 4*v + 7 = -c, 3*v + 30 = -2*c. Let a(k) = k**2 + 6*k - 30. Let t be a(c). Are t and -9 equal? False Let p be 1/5 + 7/10. Let r be (-133)/(-21) + -4 + (-5)/(-45)*-3. Which is bigger: r or p? r Let i = -76 + -77. Let x = 155 + i. Which is greater: -12 or x? x Let g = -5.6871 - -0.0071. Let q = -5.38 - g. Which is smaller: q or -2/5? -2/5 Suppose 2 = 5*i - 3. Let o be i + -2*(-76)/(-88). Suppose 4*d + 4 = 4*n + 8, 0 = -d + 2*n + 3. Which is bigger: d or o? o Suppose -2*w - 3*i + i - 8 = 0, 14 = -5*w - 2*i. Let o be (1 + 4/4)*(-7)/w. Which is bigger: o or 2/13? o Let t be -1*(9/3 - (7 + -3)). Let k be (16/(-14))/((-10)/35) + 12. Let b be (-8)/k + (-26)/(-76). Which is greater: b or t? t Let o(i) = 15*i + 8*i - 26*i + 42*i + 60. Let a be o(-7). Do a and -212 have different values? True Let k(n) = 3*n - 31. Let a be k(11). Suppose -4*u - 196 = 4*h, -a*h - 45 = u - 5*h. Let r be -2*3/u - (-5 - -10). Is r at most as big as -6? False Let h = 14/17887 + -154513/174559233. Which is greater: h or 0? 0 Let r(n) = -9*n + 56. Let m be r(5). Let t(y) = -11*y + 46. Let x be t(m). Let w be ((-4)/681)/(50/x). Which is bigger: w or 1? 1 Let f = -2 - -6. Suppose -127 - 1 = f*y. Let v = 127/4 + y. Which is smaller: -1 or v? -1 Let p = 487 + -340. Let m = 148 - p. Is m less than 2/625? False Suppose h = -1, -m - 4*m = 2*h + 2. Let o be 2/(-5 + (-895)/15). Is o greater than or equal to m? False Let r(q) = -28*q**2 - q + 2. Let v(w) = w**2 + w. Let n(b) = -r(b) - 3*v(b). Let z be n(-1). Suppose -2*h - 3 + z = 0. Is h > -2? True Suppose -62*b = -16*b. Let m = 136022/33 - 4121. Which is greater: b or m? m Suppose -6*p - 3*b - 6 = -3*p, 4*p - 4*b + 16 = 0. Let u = 44 - 23. Let v be 2/(-7) - 15/u. Which is smaller: p or v? p Let b = -194/29 + 553/87. Let n be (-2)/6 - 2782/6792. Let u = -2/283 + n. Are b and u equal? False Let a(z) = 115*z + 231. Let v be a(-2). Is v >= 2/2331? True Let x(y) = y**2 - y. Let u be x(1). Suppose 0*i - i = u. Let h = 13080 - 117722/9. Are h and i nonequal? True Let p be 4/288*23259 - 2/(-1). Let h = -325 + p. Is 1 != h? True Let j be (72/108)/(2/(-3) - -1). Suppose m - 10*d + 147 = -5*d, -j*m - 4*d - 336 = 0. Which is smaller: -163 or m? -163 Suppose -17*f + 227 = 193. Which is bigger: f or 77/43? f Let t = -280/87 - -275974/85695. Which is greater: t or 1? 1 Let p be (-1)/(18/(-10) + 2). Let r(o) be the first derivative of -o**4/4 - 5*o**3/3 + o**2 + 3*o - 169. Let k be r(p). Which is greater: -2 or k? -2 Let a = 65388 + -65389. Let o be (2 - 6/(-206)) + -2. Which is bigger: a or o? o Let c be (-12)/21 - 16852806/(-30143302). Let y = c + 3/6389. Is y greater than 1? False Let w = -72.6 - -42.6. Is w at least as big as 0.52? False Let h = -52703 + 52718. Suppose 0*k = -k + 24. Which is smaller: k or h? h Suppose 0*p - 680 = 17*p. Which is bigger: -36 or p? -36 Let p = -237 + 85. Let k(j) = j**3 - 15*j**2 + 31*j - 9. Let a be k(11). Is p at least as big as a? True Let c = 1983.91 + 519.04. Let l = c + -2435. Let k = l - 68. Is k > -1? True Suppose -4*t - 12 = -6*t. Suppose t*x - 4*i = 10*x, 0 = 3*x + 2*i. Which is smaller: 4 or x? x Let w = -589 + 585. Let q be 57/6 - 8 - (-6)/w. Which is greater: q or 2/871? 2/871 Let n(g) be the first derivative of 33*g**2 - 50*g + 44. Let m be n(2). Which is bigger: 81 or m? m Let m = -6707 - -6707.027. Let c = -18/5 + 116/35. Which is smaller: c or m? c Let u be (-33)/(-17) + (-74)/(-1258). Let x be (0 - 16)/u + 7. Is -3/127 < x? False Let j(f) = -4*f**3 - 6*f**2 - 5*f. Let u be j(-1). Let p(n) = -22*n + 66. Let s be p(u). Are -1/99 and s nonequal? True Suppose -p - 5 + 14 = 0. Suppose 0 = -k + p + 41. Let d be (2/10)/((-10)/k). Are -7/4 and d non-equal? True Let n = -371/8 + -21467/56. Is -431 at least as big as n? False Suppose 56*y - 6176 = 51*y + 3*g, -3*g + 4930 = 4*y. Is y greater than or equal to 1221? True Let j be 1 + -4 - ((964 - 14) + -20). Are j and -4658/5 unequal? True Let x(j) = -13*j + 72. Let b be x(12). Let p = 90 + b. Suppose -t + 0 = -5. Which is smaller: t or p? t Let c = -27528 + 27528. Are c and -17081 equal? False Let o = -4047 - -3973. Which is smaller: o or 4/3? o Let c be (-1)/8 - (-43584)/324096. Is c >= -82? True Let j = -60 + 94. Let y = -78 - -78.164. Let o = 0.036 + y. Which is bigger: j or o? j Let k be 13187 + (-132)/(-99)*63/12. Is k bigger than 13194? False Let g be ((-4)/(8/(-26)))/(26/(-3) + 9). Is g not equal to 50? True Let n = -27 - -32. Suppose -152 = o - n*o. Suppose 2*h - m = 2*m + 19, -3*h - 5*m = -o. Is h > 11? False Let w = -6568.1 - -6567. Which is smaller: w or 0.256? w Let f = -3.18 - 45.02. Let c = -48 - f. Is 60 >= c? True Let i = 4 + -13. Let a = -426 + 431.86. Let k = -5.66 + a. Is i equal to k? False Let k be (2/(-3))/((-2)/31). Let v(t) = -1014*t - 8101. Let m be v(-8). Are k and m unequal? True Let n(h) = 2*h - 4. Let d be n(-5). Let o be (2 - d/(-6)) + -1. Let t = -1694.2 - -1694. Which is greater: t or o? t Suppose 5*t + 5*o - 181 + 211 = 0, t - 2*o - 9 = 0. Is t greater than -82? True Let l = 64 + 63. Let k = -126.99 + l. Let t = -0.39 - k. Is t at most as big as -0.9? False Let y = -10349/237615 + -28/1095. Are 0 and y non-equal? True Let q = 49/11877 - 13899373/795759. Which is bigger: -16 or q? -16 Let b(o) = 145*o + 8. Let a be b(7). Let q = 5136/5 - a. Let d = 172 + -168. Which is greater: d or q? q Let q = -43571/16 - -2720. Are q and 0.04 nonequal? True Let j(s) = -20*s + 8. Let y be j(-4). Let l be y/21*(-9)/12. Let t = -42 + 40. Which is bigger: t or l? t Let s = 371/5 + -727/10. Is s at most as big as 5? True Let k = 5.1 - 4.9. Let u = 2 + 5. Let p = u + -6. Which is greater: k or p? p Let l = -11668.787 - -11675. Let y = 0.013 - l. Let u = -2.2 - y. Which is smaller: u or -0.4? -0.4 Let y(b) = 2*b**3 + 77*b**2 + 457*b + 22. Let k be y(-8). Is 253 bigger than k? False Suppose -125*y = -124*y - 90. Let r be y/108 + 2 + 10/(-6). Does 2 = r? False Let i(z) be the second derivative of -z**5/20 + 5*z**3/6 + 7*z**2/2 - 3106*z. Suppose 2 = k - 1. Let w be i(k). Do -39/8 and w have different values? True Let l = 953 + -949. Suppose 5*v - 620 = 5*g, -l*g = -13 - 3. Is 131 greater than or equal to v? True Let v(u) = 6*u**2 - 3. Let p be v(1). Suppose 15 = -4*n + p*n. Is -18 <= n? True Suppose -75515 = 173*o - 764221 + 3626. Which is smaller: 3961 or o? o Suppose 0 = 4*u - 2*u - 4*y - 266, 0 = -3*u - 2*y + 415. Suppose 0 = 2*r - 4*x - 70, -2*x = -3*r + u - 28. Which is bigger: 39 or r? 39 Let z be (2/(16/114))/((-59)/236). Do 1 and z have different values? True Let h = 35 - 37.01. Let b = 5.01 + h. Which is smaller: -0.3 or b? -0.3 Let i = -66 - 5. Let a = -70.8 - i. Let t = 1 + 5. Which is smaller: t or a? a Let n = 153 + -148. Suppose -4*q = -2*i - 30 - 460, 1205 = -5*i + n*q. Is i at least as big as -237? True Suppose 172*n + 182*n = 335*n. Is -20/2447 less than n? True Let y be (6/4 + -1)*0. Suppose -12*j - 90 + 102 = y. Is j < 1/696? False Let u = -82 + 92.7. Let t = u + -9.7. Which is smaller: -1.49 or t? -1.49 Let q(n) = n**2 + 11*n + 15. Let g be q(-10). Let t be g/(-5)*(-5 - (-156)/27). Is t bigger than -1? True Let h = -76 - 761. Let m be (h/(-1692))/((-4)/32) - -4. Which is smaller: m or 1? m Let x be (-386
{ "pile_set_name": "DM Mathematics" }
-383/5. Let f(g) be the first derivative of 0*g**2 + x*g**5 - 2 + 1/3*g**3 + 0*g + 0*g**4. What is the third derivative of f(a) wrt a? 72*a Let h = 8 + -3. Let c be 5*(12/h)/2. Find the third derivative of 3*o**6 - 2*o**2 + 0*o**c + 3*o**2 wrt o. 360*o**3 Let a(j) be the third derivative of -1/24*j**6 + 0 + 1/12*j**5 + j**2 + 0*j**4 + 0*j**3 + 0*j. Find the third derivative of a(n) wrt n. -30 Suppose 12 = 4*q - 2*q. Suppose -10 = -q*v + v. Differentiate 1 + v + 0*t + 2*t - 5*t with respect to t. -3 Let j(s) be the second derivative of -3*s**5 + 25*s**4/6 + 5*s - 2. What is the third derivative of j(h) wrt h? -360 Let i(a) be the second derivative of a**3/6 + 2*a**2 + 3*a. Let c(y) = 4. Let r(m) = 4*c(m) - 3*i(m). Find the first derivative of r(j) wrt j. -3 Let a = 7 + -5. Suppose 0 = 2*w + 3*w - 45. What is the second derivative of -9*k**3 + 2*k**4 + a*k + w*k**3 wrt k? 24*k**2 Differentiate -5*r - 3*r + 5*r + 5 + r with respect to r. -2 Find the third derivative of 5 - 5 - 4*t**5 + 8*t**2 - 2*t**2 wrt t. -240*t**2 Let d(y) = -4*y**2 + 2. Let u(h) = -5*h**2 + 3. Let v(p) = -4*p**3 + p - 1. Let q be v(1). Let f(m) = q*d(m) + 3*u(m). Find the first derivative of f(r) wrt r. 2*r Let n(w) = -w**2 + w. Let i(c) = -7*c**2 + 6*c. Let o(g) = i(g) - 4*n(g). Find the second derivative of o(l) wrt l. -6 Let g be 0/(0 + (-1 - -2)). Suppose 5*k - 5 - 15 = 0. What is the second derivative of -b**4 + 2*b + g*b - b**k wrt b? -24*b**2 Suppose -7*j = -9*j + 4. Differentiate -5*d + 7*d + 4*d - j - 2 wrt d. 6 What is the derivative of -13 - 12 + 3 + 17*f**4 wrt f? 68*f**3 Let l(f) = -4*f**4 + 3*f**2 - 2. Let w(n) = -7*n**4 + 7*n**2 - 5. Let u(g) = -5*l(g) + 2*w(g). Find the third derivative of u(s) wrt s. 144*s Let u = -39 - -41. Let k(f) be the second derivative of 1/2*f**u + 1/6*f**4 + 0*f**3 + 0 - f. What is the first derivative of k(q) wrt q? 4*q Suppose -2*v - 2*v + 10 = f, 2*f + 2*v = 8. Let q = -7 + 7. What is the second derivative of -f*w + q + 0 - w**5 wrt w? -20*w**3 Let b = -16 - -18. Find the third derivative of 8*u**2 + 2*u**b + 0*u**6 - 4*u**6 - 4*u**2 wrt u. -480*u**3 Let a(d) = -2*d - 10. Let j be a(-6). Let v(o) be the first derivative of 0*o**j + 0*o + 3 + 2/3*o**3 - 3/4*o**4. What is the third derivative of v(b) wrt b? -18 Let z(g) be the first derivative of -g**9/756 - g**6/60 + g**3 - 5. Let o(w) be the third derivative of z(w). What is the third derivative of o(s) wrt s? -240*s**2 Find the third derivative of n**2 - 2*n**2 - 3*n**2 - 6*n**3 + 0*n**3 wrt n. -36 Find the first derivative of 45*m - 45*m - 25 - 34*m**4 wrt m. -136*m**3 Find the second derivative of 6*s**3 + 33*s - 30*s + 0*s**2 + 0*s**2 wrt s. 36*s Let a(k) be the third derivative of -k**6/720 + k**5/30 + k**4/6 + 3*k**2. Let s(w) be the second derivative of a(w). Differentiate s(p) with respect to p. -1 Let c(h) = 29*h**3 + 125*h**2 - 11. Let q(s) = 6*s**3 + 25*s**2 - 2. Let d(a) = -2*c(a) + 11*q(a). What is the third derivative of d(v) wrt v? 48 Let c(g) = 10*g**4 - 2*g**3 - 19*g**2. Let r(u) = -69*u**4 + 15*u**3 + 132*u**2. Let b(n) = -15*c(n) - 2*r(n). What is the third derivative of b(k) wrt k? -288*k Let j(s) be the first derivative of -7*s**6/3 - 6*s**2 - 10. Find the second derivative of j(o) wrt o. -280*o**3 Let m(j) be the third derivative of -17*j**5/60 - 2*j**3 - 25*j**2. Differentiate m(c) wrt c. -34*c Let w be (-2)/(-4)*-1*0. Let h(s) be the first derivative of -1/4*s**4 + w*s + 0*s**2 - 2/3*s**3 - 2. What is the third derivative of h(i) wrt i? -6 Let h(d) = d - 3 - d**2 + 3 - d**2. Let n(q) = 2*q**2 - 2*q. Let o(j) = -5*h(j) - 4*n(j). What is the second derivative of o(f) wrt f? 4 Let l(r) be the second derivative of r**6/15 + 31*r**3/6 + 30*r. Find the second derivative of l(u) wrt u. 24*u**2 Suppose 2*b = 6*b - 28. What is the second derivative of 7 + 6*c - b + 5*c**4 wrt c? 60*c**2 Let d(x) = 6*x**2 + 3*x + 7. Let h(l) = -2*l**2 - l - 2. Let c(r) = 6*d(r) + 21*h(r). Find the second derivative of c(z) wrt z. -12 Let q be 2 + -2 + 1 + 2. Suppose -q + 13 = 5*z. What is the third derivative of -z*w - w**6 + 2*w - 2*w**2 wrt w? -120*w**3 Differentiate 2*u**2 + 7 - 6*u**2 + 25*u - 25*u with respect to u. -8*u Suppose -2*u = -7*u + 15. What is the third derivative of -2*g**u + 9*g**3 - 2*g**2 - 11*g**3 wrt g? -24 What is the second derivative of -29*y + 9*y - 7*y + 18*y**4 wrt y? 216*y**2 Find the third derivative of -14*y**5 + 41*y**5 - 19*y**5 - 23*y**5 - 29*y**2 wrt y. -900*y**2 What is the derivative of 4 - z - 8 - 3*z wrt z? -4 Find the second derivative of -5*i + 2*i + 3*i**2 + 6*i + 2*i wrt i. 6 Let n(x) = -7*x + 6. Let y be n(-5). What is the third derivative of -3*g**2 + 39*g**5 - 3*g**2 - y*g**5 wrt g? -120*g**2 Let v(z) be the third derivative of -2*z**7/105 + 7*z**3/6 + 2*z**2. Find the first derivative of v(d) wrt d. -16*d**3 Let u(j) = j**2 + 1. Let f(n) = -3*n**2 - 8. Let m(a) = f(a) - 3*u(a). Find the first derivative of m(l) wrt l. -12*l Let v(j) = j**3 + 9*j**2 - j - 6. Let p be v(-9). Suppose 0*x + p*x - 18 = 0. Differentiate 8*k**4 + 3 - 5*k**4 - x + 5 with respect to k. 12*k**3 What is the derivative of -5 + 41*m**3 - 74*m**3 + 43*m**3 wrt m? 30*m**2 What is the third derivative of -17*c**3 + 25*c**2 - 13*c**2 + 17*c**2 wrt c? -102 Let v(y) be the first derivative of -5*y**7/21 + y**4/4 + 8*y + 6. Let i(u) be the first derivative of v(u). What is the third derivative of i(g) wrt g? -600*g**2 Let n(l) be the first derivative of -7*l**4/4 - 7*l**2/2 + 1. What is the second derivative of n(z) wrt z? -42*z Let f(h) be the second derivative of 3*h**4/2 + 8*h**2 + 12*h. What is the derivative of f(q) wrt q? 36*q Let a(y) = y**3 - y**2 - y. Let v(m) = -7*m**3 + m**2 + m + 13. Let g(s) = -a(s) - v(s). Differentiate g(c) with respect to c. 18*c**2 Let b be 1 + 2 + 12/(-4). Let d(p) = p**2 + 4*p - 3. Let o be d(-5). Find the second derivative of -n**4 + b*n**4 + 0*n - o*n wrt n. -12*n**2 Let v(o) be the third derivative of o**8/336 - o**4/12 + o**3/2 - o**2. Let q(j) be the first derivative of v(j). What is the derivative of q(i) wrt i? 20*i**3 Find the third derivative of -b**4 + 3*b**2 - 7*b**2 - 5*b**4 + b**2 wrt b. -144*b Let k(f) be the first derivative of -f**5 + 3*f**3 + 5. What is the third derivative of k(o) wrt o? -120*o Let h(s) = -s + 8. Let f be h(4). Suppose -4*k = 3*b + 8, -2*b + f*k = 2*b - 36. What is the third derivative of -2*q**5 + 2*q**2 + 3*q**5 - b*q**2 wrt q? 60*q**2 Let w(v) be the third derivative of v**5/120 - v**4/12 - v**3/2 + 2*v**2. Let l(q) be the first derivative of w(q). Differentiate l(h) with respect to h. 1 Let t(i) = 6*i - 9. Let f(x) = x - 1. Suppose -3*p + 28 = -p. Let b(s) = p*f(s) - 2*t(s). What is the first derivative of b(j) wrt j? 2 Let d(h) = h**3 + h**2 + h - 1. Let b(s) = -8*s**3 + 2*s**2 - 4*s + 4. Let q(m) = b(m) + 4*d(m). Find the third derivative of q(o) wrt o. -24 Let j(a) = a**2 + a - 1. Let y(l) = 47*l**2 + 2*l - 51. Let t(v) = 2*j(v) - y(v). What is the first derivative of t(d) wrt d? -90*d Let o = 1 + 3. Suppose 5*r - 6 = 3*r - 2*s, 0 = 5*r - o*s - 6. Differentiate 4*w - r - 4*w - w wrt w. -1 Let k = 61/2 - 30. Let b(f) be the third derivative of k*f**3 + 1/60*f**6 + 3*f**2 + 0*f**5 + 0*f**4 + 0*f + 0. Find the first derivative of b(c) wrt c. 6*c**2 Differentiate 6*y**2 - 19*y**2 + 15 - 37 - 20 wrt y. -26*y Let w(f) = -f - 4. Let s be w(-3). Let n be 0*((-1)/s)/(-2). Find the third derivative of n*r**2 - 5*r**4 + 6*r**4 + r**2 wrt r. 24*r Let p be (24/9)/(2/3). Suppose 0 = p*t - 16, -2*a + t - 12 = -3*t. Differentiate -a + 5 - 3 + 2 + 3*q wrt q. 3 Let k(z) = -21*z**6 + 7*z**3 - 3*z**2. Let j(s) = -22*s**6 + 6*s**3 - 2*s**2. Let r(g) = -7*j(g) + 6*k(g). Find the third derivative of r(x) wrt x. 3360*x**3 Let b(d) be the third derivative of -d**7/35 + d**4/2 + 6*d**2. What is the second derivative of b(x) wrt x? -72*x**2 Find the second derivative of 3*h + 2*h**4 - h**4 - 4*h**4 wrt h. -36*h**2 Let p(u) be the third derivative of -11*u**7/105 - u**4/4 + 20*u**2. Find the second derivative of p(g) wrt g. -264*g**2 Let s(q) be the second derivative of -q**3/6 - 2*q**2 + 2*q. Let g(p) = -p - 1. Let n(a) = 6*g(a) - 2*s(a). Differentiate n(b) wrt b. -4 Let z(k) be the second derivative of -1/20*k**5 + 1/
{ "pile_set_name": "DM Mathematics" }
**2 + 8*l - 2. Let z be a(h). Solve -z = 5*n - 0*n for n. -1 Let o be ((-4)/6)/((-10)/(-75)). Let p = 0 - o. Solve p*w - 3*w = 10 for w. 5 Let k = 11 + -8. Suppose -k = 2*n - 3*n. Solve -6*v + n = -3*v for v. 1 Let y(w) = w + 21. Let g be y(-16). Solve 8 = -g*h - 2 for h. -2 Let p(t) = -t**3 + 6*t**2 + t - 5. Let s be p(6). Solve 0 = r - s + 2 for r. -1 Let y = -1 + 5. Suppose -y*p + 15 = -3*p. Let o = p - 6. Solve -o = -3*d + 6*d for d. -3 Let l be ((-21)/2)/3*-2. Suppose -3*q - 4*k + 6 + l = 0, q + 2 = 5*k. Suppose -3*i = 3*x - 15, -q*x - 2*i + 12 = -2. Solve -4*g - x = 12 for g. -4 Let g = 12 + -10. Suppose 2*i - 9 = -1. Solve -g*s - 2 = -i*s for s. 1 Suppose 5*p - 5*j + j = -33, 3*p - 5*j + 25 = 0. Let h be (p - -2)/(-3)*3. Solve -2 - 1 = -h*r for r. 1 Suppose 1 - 9 = -4*f. Solve 18 = -5*a - f for a. -4 Let c = 5 + -5. Let h be (2 - c) + 1 + 13. Solve -2*v - 2*v = h for v. -4 Suppose 2*u = -5*u + 35. Solve -u*a = -a - 12 for a. 3 Let v(s) = -s**3 - 3*s**2 - 3*s + 1. Let b be v(-2). Solve 4*p - p + b = 0 for p. -1 Let l(c) = -c**3 + 6*c**2 + c - 5. Let n be 0/1 - (-3 - 3). Let h be l(n). Suppose 2*w + h = 9. Solve w*q - 7*q = 15 for q. -5 Let c(f) = f**3 + 4*f**2 + f + 6. Let i be c(-4). Solve -h = -i*h for h. 0 Let u(t) = t**3 - 3*t**2 + t - 2. Let f be u(3). Suppose -f + 11 = 5*i. Solve -5*q + i + 23 = 0 for q. 5 Let a(d) = 6*d. Let z be a(2). Solve -3 - z = 3*l for l. -5 Let d(c) = c**2 + c. Let n be d(2). Solve -4*x + n = -6*x for x. -3 Suppose 5*t = 2*a + 32, -5*a - 12 = -0*t - 4*t. Suppose -3*d + 3*p = -2*p + t, -d + p = 0. Solve d*k - 5 = 7 for k. 3 Suppose 4 = m, -14 = -5*s + 3*s - m. Solve s*k = -5 - 15 for k. -4 Let v(k) = -k**2 - 13*k - 4. Let j be v(-12). Solve 7 = -3*x - j for x. -5 Suppose -3*h = 2*v - 11, 3*h + 3*v - 7 = -v. Suppose 4*g - 7 - 1 = 0, t - 3*g = 2. Let k be (t/(-10))/(h/(-125)). Solve -4 = -4*l - k for l. -4 Let h = -9 - -15. Let m be ((-3)/6)/(-1)*h. Solve m*a - 20 = -a for a. 5 Suppose -101 = 10*n - 301. Solve -n = 2*m + 2*m for m. -5 Let d be (1 - 4)*(-3)/(15/5). Solve 0*z = -d*z + 9 for z. 3 Let m be (-18)/(-24) + (-4)/(-16). Solve -m + 2 = -c for c. -1 Let b(l) = -l**2 + 10*l - 10. Let j be b(8). Solve j*h - 12 = 2*h for h. 3 Suppose 0*s = s - 12. Let h be (1/(-2))/((-2)/s). Solve -15 = -h*k - 0 for k. 5 Let q be 2/((20/(-6))/(-5)). Suppose 3*v - 11 = 5*j + 14, -q*v - 10 = 2*j. Suppose -4*g + 4*f = 0, -5*f + 12 = g - v*f. Solve 0*c + g*c + 10 = 0 for c. -5 Let z = -47 - -50. Solve -2*k + 10 = z*k for k. 2 Suppose 6*l - 11*l = 0. Solve l + 2 = -x for x. -2 Let l(h) = -h**2 - 3*h + 4. Let t be l(-4). Solve t*s - 3*s - 6 = 0 for s. -2 Let u(z) = z**2 - 7*z + 2. Let a be u(6). Let f = a + 1. Let j = -3 - f. Solve -i + 2*i = j for i. 0 Suppose -2*d + 13 - 9 = 0. Suppose -d*s = -4*s. Solve s = -5*x + 1 + 4 for x. 1 Let w = 8 - 4. Solve k - w = 2*k for k. -4 Let y be 96/15 - (-4)/(-10). Suppose 4*f = -y + 2. Let x be (0/(f + -2))/(-2). Solve x = -a - 4*a + 10 for a. 2 Suppose -6*x = -26 - 10. Solve -i - 25 = -x*i for i. 5 Let o(y) = -y - 2*y - y**2 + 4 + 6*y**2 - 3*y**3. Let p(l) = 2*l**3 - 6*l**2 + 4*l - 5. Let k(f) = 5*o(f) + 4*p(f). Let t be k(-1). Solve 4 = -w + t for w. 3 Suppose -2*s + 4*s - 328 = 0. Suppose 0 = 3*l + l - s. Suppose 2*b = 5*b - y - l, b = -2*y + 16. Solve -2*o = b - 6 for o. -4 Let k = 68 - 63. Solve -h = -k*h for h. 0 Let s(j) = 7*j. Let n(p) = -20*p + 1. Let y(h) = -6*n(h) - 17*s(h). Let b be y(10). Solve -d - b*d - 25 = 0 for d. -5 Let w be (2/(-6) - 1)*30/(-20). Suppose -p = 3*g + 9, -g = -5*g + 3*p + 1. Let n = g + w. Solve 10 = 5*f - n*f for f. 2 Let v be 0/(-2 + (-1 - -1)). Let z(l) = -l - 3. Let j be z(-3). Let i = j - v. Solve 0*q + 4*q + 8 = i for q. -2 Suppose -5*p + 7 = -43. Let m = p + -5. Suppose 3*x = m*x. Solve x = -4*c + 8*c for c. 0 Suppose 0 = -4*a + 3*z + 5, a = -a - z + 5. Solve 2 = q - a for q. 4 Let i = 15 + -13. Suppose -3*t = -10 - i. Solve 0 = 2*l - 0 - t for l. 2 Suppose 0 = -2*y - 2, 4*y = -3*k - 4 - 18. Let b(a) = -a - 3. Let f be b(k). Let v be f/(-6)*(-1 + -3). Solve 5 = v*i - 1 for i. 3 Suppose 2*v = 3 - 1, 3*i + 4*v - 10 = 0. Let j be 1 - (i + (-2 - 0)). Suppose 5*c - 13 = 7. Solve -r - c = j for r. -5 Let x be -2*(-1)/(-1) - -4. Solve x*g = -3*g for g. 0 Let h(t) = -t**2 - 7*t + 8. Let d be h(-8). Solve d = 2*q - q - 1 for q. 1 Let x = 9 - 3. Let y be (-32)/20*(-10)/4. Suppose 4*t + 2 = 5*t. Solve t*b + x = y*b for b. 3 Let y(x) = x - 1. Let u be y(6). Solve 0 = -2*l + 1 + u for l. 3 Let g be 3 - 5/1 - -6. Solve -14 = g*t + 2 for t. -4 Let v be 88/20 + (-2)/5. Suppose 2*k - 20 = -5*h, 0 = -2*h + 5*k + v + 4. Solve h - 3 = -j for j. -1 Suppose -y + s + 7 = 3*y, -17 = -2*y + 5*s. Let j be y + 0 + -2*1. Let w be (j + 0)/((-1)/4). Solve w*i - 3*i = 0 for i. 0 Suppose 0 = r - 0 - 1. Let y(s) = s**2 - 4*s - 8. Let l be y(6). Let p be -1 + 1 - l*-1. Solve -9 + r = p*z for z. -2 Suppose -4*f - 6 = -2*b + 16, 3*f = -5*b + 16. Suppose b*a = z + 40, -5*a = 2*z - 35 - 20. Solve 0*o - 3*o = a for o. -3 Let c be (1 + (4 - 5))/3. Let k = 0 - c. Solve -w - 4 + 2 = k for w. -2 Let s = 44 - 41. Solve 0*a - s*a = 12 for a. -4 Let i(d) be the first derivative of -3*d**2/2 - 6*d + 1. Let m be i(-4). Let y be (-1 + 3)/(m - 5). Solve v = -y*v - 3 for v. -1 Suppose -v - 4 = 3*v, 5*w = -4*v + 6. Solve 5*b + 13 = -w for b. -3 Suppose 3*x - 193 + 187 = 0. Solve -3*g = -x + 17 for g. -5 Let f(x) = -x. Let l be f(-2). Solve -5*z - 18 = l for z. -4 Suppose u - 6 = 3*j - 0, -4*u - j = -11. Suppose 0 = 4*b + 2 - 26. Let g = b + -6. Solve g = 3*z - 2*z - u for z. 3 Let s = -22 - -24. Solve -4*n - 6 + s = 0 for n. -1 Suppose 3*s = 5*t + 46, -2*s + 7 = t - 2. Let f = 4 - 2. Let p = -13 + 38. Solve f*c - s*c = p for c. -5 Suppose f = -0*f. Let w be (f - (-1 + 0)) + 1. Suppose -2*o - 2 = -3*o, 0 = -5*i - w*o + 49. Solve -4*c + i = -c for c. 3 Let i(r) = r**2 - 2*r - 5. Let k be i(4). Suppose 0 = -0*c + k*c. Solve c = -2*o - o - 9 for o. -3 Let p(c) be the second derivative of -c**4/12 - c**3/3 - c**2/2 - 5*c. Let v be p(-1). Solve 0 = -v*j - 5*j - 10 for j. -2 Let r = 19 - 28. Let c(x) = -4*x - 21. Let h be c(r). Solve 5 - h = -5*u for u. 2 Suppose 4*a = -12, -1 = -4*o - 3*a - 2. Let n(v) = 5*v**3 + 2*v**2 - v. Let y be n(1). Suppose -5*m + 9 + y = 0. Solve -o = m*z + 7 for z. -3 Suppose -5*u - 24 = 4*y, -4*y + u - 16 - 32 = 0. Let n be y/(-5) - 2/10. Solve -18 - n = -5*v for v. 4 Let i = 6 + -4. Let y be ((-1 + i)*0)/(-1). Suppose -3*h = 2*a - 21, y = -5*a + 2*a - 2*h + 19. Solve a = 6*l - 3*l for l. 1 Suppose 6*t - 13 = t + j, -3*t - 5*j = 9. Suppose -3*g + 45 = 2*g. Solve t*d = -d + g for d. 3 Let j be (-8)/1*(-8)/16. Solve j - 6 = z for z. -2 Let y be (-5)/2*8/(-10). Suppose 0 = p - 1 + y. Let k be (2/(-5))/(p/5). Solve 0 = -4*s - 6 + k for s. -1 Let n(s) = s**2 + 4*s + 2. Let p be n(-4). Solve -3 = -5*c + p*c for c. 1 Suppose -2*x - m + 14 - 5 = 0, -21 = 2*x - 5*m. Let a = x + 3. Let b be a - 1*2/2. Solve -b*q + 16 = -8*q for q. -4 Let m(y) = 40 + 12*y - 4*y - 3*y**2 + 4*y**2 - 31. Let v be m(-7). Solve v*n = -0*n + 6 for n. 3 Suppose -3*l + 2*v + 50 = 0, 22 + 3 = 5*v. Solve 6*x = x + l for x. 4 Suppose -3*k - q + 5 = 0, k + 4*q - 20 = -2*k. Solve 5*y - 10 + 35 = k for y. -5 Let h(g) = -g**3 - 5*g**2 + 3*g + 2. Let x be h(-7). Suppose 3*y = 2*m + 35, 5*y - x = 2*m - 26. Solve y = -5*k + 2*k for k. -3 Let y(h) = -2*h - 7. Let c be y(-6). Solve -3 = u - c for u. 2 Let i(c) be the first derivative of -c**2/2 + c - 1. Let k be i(-4). Suppose j + 12 = k*j. Solve j*n - 2 = n for n. 1 Let u be (-10*3/6)/(-1). Let y(i) be the third derivative of i**5/60 + i**4/12 - 5*i**3/3 - i**2. Let k be y(-7). Solve 0 = -0*g - u*g + k for g. 5 Let d(h) = -h + 16. Let c be d(13). Let v = 8 - c. Solve 15 = v*i - 10 for i. 5 Let g = 0 - 3. Let f be g/9 + 13/3. Suppose 0 = 2*o + 6 - 10. Solve 2 = -o*v - f for v. -3 Let b = -111 - -118. Let x(k) = k**3 - 5*k**2 + 5. Let r be x(5). Solve 8 = r*w - b for w. 3 Let b = -5 - -8. Suppose -2*g + 10 = b*g. Suppose -g*o + 10 + 2 = 0. Solve -5*u + o*u = -1 for u. -1 Let o(g) = -5*g**3. Let m be o(-1). Solve -m*l + 11 = 31 for l. -4 Suppose 0 = -0*h + h + 5*g - 9, 2*g + 42 = 2*h. Let b = 10 - 14. Let f = 7 + b. Solve f*p - 4 = -h for p. -5 Let q = 48 - 43. Solve 0 = -y +
{ "pile_set_name": "DM Mathematics" }
here between 9:04 PM and 7:11 AM? 607 What is 353 minutes after 5:14 AM? 11:07 AM How many minutes are there between 3:12 PM and 10:54 PM? 462 How many minutes are there between 7:08 AM and 8:17 AM? 69 How many minutes are there between 12:02 AM and 10:57 AM? 655 How many minutes are there between 5:39 AM and 8:53 AM? 194 What is 144 minutes before 5:07 AM? 2:43 AM How many minutes are there between 8:51 PM and 7:00 AM? 609 How many minutes are there between 9:43 AM and 8:06 PM? 623 How many minutes are there between 5:09 AM and 4:34 PM? 685 How many minutes are there between 4:45 PM and 4:00 AM? 675 How many minutes are there between 4:34 PM and 7:51 PM? 197 What is 623 minutes before 8:17 PM? 9:54 AM How many minutes are there between 5:45 PM and 8:23 PM? 158 What is 160 minutes after 1:32 AM? 4:12 AM What is 305 minutes before 5:12 PM? 12:07 PM How many minutes are there between 9:38 AM and 8:05 PM? 627 What is 572 minutes before 1:15 PM? 3:43 AM How many minutes are there between 1:30 AM and 5:40 AM? 250 How many minutes are there between 1:39 PM and 9:47 PM? 488 What is 669 minutes after 3:44 AM? 2:53 PM How many minutes are there between 4:44 AM and 10:37 AM? 353 What is 355 minutes before 5:22 AM? 11:27 PM How many minutes are there between 7:51 AM and 12:42 PM? 291 How many minutes are there between 10:07 PM and 5:50 AM? 463 How many minutes are there between 12:38 AM and 11:33 AM? 655 How many minutes are there between 5:14 AM and 3:00 PM? 586 How many minutes are there between 2:49 AM and 5:42 AM? 173 What is 202 minutes after 8:10 PM? 11:32 PM How many minutes are there between 12:00 PM and 6:54 PM? 414 How many minutes are there between 1:55 PM and 8:54 PM? 419 What is 63 minutes after 3:24 AM? 4:27 AM How many minutes are there between 9:24 AM and 2:16 PM? 292 How many minutes are there between 2:29 PM and 5:15 PM? 166 How many minutes are there between 1:28 AM and 2:03 AM? 35 How many minutes are there between 7:20 PM and 1:27 AM? 367 How many minutes are there between 2:22 AM and 11:21 AM? 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581 How many minutes are th
{ "pile_set_name": "DM Mathematics" }
90 - 11*h**5/6 + 163*h**4/18 + 973*h**3/18 + 539*h**2/6 - 4232*h. Let w(c) = 0. Calculate c. -11, -1, 7 Find o, given that -99/7 - 99/7*o**4 + 6/7*o**3 - 3/7*o**5 + 198/7*o**2 - 3/7*o = 0. -33, -1, 1 Let f = -719 - -1205. Let k = f + -969/2. Find p such that -1 + k*p - 1/2*p**2 = 0. 1, 2 Suppose 1493 = 7*m + 240. Let q = m + -59. Factor 2 + 28*a**2 + 6 - q*a**3 - 96*a + 8 + 28*a**4 + 144*a**2. 4*(a - 2)*(a - 1)**2*(7*a - 2) Let s(j) be the first derivative of j**4/10 - 24*j**3/5 - 37*j**2/5 + 387. Factor s(i). 2*i*(i - 37)*(i + 1)/5 Find p such that 2/15*p**5 + 0 + 2/3*p**4 + 16/5*p - 8/3*p**2 - 4/3*p**3 = 0. -6, -2, 0, 1, 2 Let x(g) be the third derivative of -1/40*g**5 + g**3 + 1/3*g**4 + 0*g - 1/60*g**6 + 0 + 176*g**2. Factor x(n). -(n - 2)*(n + 2)*(4*n + 3)/2 Determine c, given that 776*c + 879*c + 1806 - 3*c**2 - 1568*c = 0. -14, 43 Let u(d) = -8*d**2 - 73*d + 67. Let l(m) = m. Let z(a) = 4*l(a) + u(a). Let b(c) = -12*c**2 - 103*c + 101. Let i(w) = 5*b(w) - 7*z(w). Factor i(p). -4*(p - 1)*(p + 9) Let j(i) = -760*i + 123. Let d be j(-1). Let q = d - 1761/2. Factor q*h**2 - 1 - 3/2*h. (h - 1)*(5*h + 2)/2 Let x(l) be the second derivative of l**6/210 + 41*l**5/140 + 271*l**4/84 + 11*l**3/2 + l - 3. Factor x(y). y*(y + 1)*(y + 7)*(y + 33)/7 Let l(g) be the first derivative of g**5/20 + 5*g**4/3 + 279*g + 15. Let x(f) be the first derivative of l(f). Factor x(h). h**2*(h + 20) Let m(g) be the third derivative of -g**5/270 - 14*g**4/27 - 221*g**3/9 + 1524*g**2. Solve m(d) = 0. -39, -17 Let c(l) be the first derivative of -l**6/15 + 236*l**5/75 - 206*l**4/5 + 988*l**3/15 - 361*l**2/15 + 1113. Determine v so that c(v) = 0. 0, 1/3, 1, 19 Suppose -1167*b = -1160*b + 7623. Let d be 5 + (b/77)/3. Suppose 0 + 10/7*p + d*p**2 = 0. What is p? -5, 0 Let k(v) = v**2 + 2*v + 1. Let x(q) = -12*q**2 - 64*q - 88. Suppose 4*j - 57 = 5*m, 8*j = 7*j - 3*m - 7. Let w(f) = j*k(f) + x(f). Let w(i) = 0. What is i? -10, -2 Let h(c) be the first derivative of -c**5/25 - 31*c**4/20 - 16*c**3/3 + 56*c**2/5 + 5171. Factor h(b). -b*(b - 1)*(b + 4)*(b + 28)/5 Let z(c) be the second derivative of 3*c**6/25 + 73*c**5/25 + 304*c**4/15 + 128*c**3/15 + 111*c + 7. Factor z(r). 2*r*(r + 8)**2*(9*r + 2)/5 Let j(a) be the third derivative of 1/5*a**5 + 88*a**2 + 0*a - 1/12*a**4 + 0 - 2*a**3 + 1/60*a**6. What is l in j(l) = 0? -6, -1, 1 Let r = 263 - 183. Solve 3*l**2 + 30 - 173*l + 72*l + r*l = 0 for l. 2, 5 Let i(q) be the second derivative of q**5/4 + 515*q**4/6 + 16975*q**3/2 - 110250*q**2 - 1426*q. Find m, given that i(m) = 0. -105, 4 Let o(v) be the third derivative of v**7/735 - 2*v**6/15 - v**5/210 + 2*v**4/3 - 883*v**2. Suppose o(x) = 0. Calculate x. -1, 0, 1, 56 Let x(v) = -3*v + 3. Let u be x(0). Solve -633*p - 4*p**u + 565*p + 2*p**3 + 4*p**4 + 24 + 68*p**2 - 26*p**3 = 0. 1, 2, 3 Solve 0 + 15*j + 1/2*j**4 - 15*j**3 - 1/2*j**2 = 0 for j. -1, 0, 1, 30 Suppose 9 = 5*y - v - 5, -y = -2*v - 10. Let d = -1203 + 2189. Factor -994 + 4*f**y - 7*f + d + 3*f. 4*(f - 2)*(f + 1) Let x(w) = 16919*w**4 + 16361*w**3 - 516*w**2 + 42*w - 38. Let z(b) = -8459*b**4 - 8181*b**3 + 258*b**2 - 20*b + 18. Let a(r) = -9*x(r) - 19*z(r). Factor a(t). 2*t*(t + 1)*(65*t - 1)**2 Let i(r) be the first derivative of r**4/16 - r**3 - 181*r**2/8 - 42*r + 820. Determine s, given that i(s) = 0. -8, -1, 21 Let h = 19946 - 139616/7. Let u(t) be the first derivative of -2/63*t**6 - 10/7*t**2 + 15 + 4/21*t**4 + 44/63*t**3 - 2/15*t**5 + h*t. Solve u(f) = 0 for f. -3, 1/2, 1 Let g = 668/489 + -16/489. Let p(f) be the second derivative of f + 2*f**2 + g*f**3 + 1/3*f**4 + 0. Factor p(d). 4*(d + 1)**2 Let w(k) be the third derivative of k**5/120 + 7*k**4/6 - 59*k**3/4 - 2*k**2 - 117. Factor w(h). (h - 3)*(h + 59)/2 Let x(u) be the third derivative of 5*u**8/336 + 13*u**7/42 + u**6/6 - 48*u**5 - 540*u**4 - 2520*u**3 + u**2 - 1526*u. Solve x(m) = 0. -6, -2, 7 Let v(t) be the third derivative of t**7/280 + t**6/45 - t**5/30 - 19*t**4/8 + 35*t**2. Let u(q) be the second derivative of v(q). Suppose u(y) = 0. What is y? -2, 2/9 Let m be 330/(-15)*3/(-2). Factor 5*n + 11*n**2 + n**4 + 7*n**3 + 3*n**4 + n**4 - m*n**4 + 29*n**4. n*(n + 1)**2*(n + 5) Let h = 37765/4 - 309903/28. Let v = h + 1629. Factor 16/7 - v*q + 4/7*q**3 - 4/7*q**2. 4*(q - 2)*(q - 1)*(q + 2)/7 Let o = -1161/7 + 2427/14. Let k(f) be the first derivative of 10*f + 15/4*f**4 + 25 - 10/3*f**3 - o*f**2. Factor k(h). 5*(h - 1)*(h + 1)*(3*h - 2) Let h(f) = -f**2 + 1. Let o(r) be the second derivative of 0 - 10*r**2 - 34*r - 52/3*r**3 - 163/6*r**4. Let t(c) = 12*h(c) + o(c). Let t(u) = 0. Calculate u. -2/13 Let o(w) = -29*w**3 - 135*w**2 - 102*w + 10. Let a(m) = 59*m**3 + 273*m**2 + 204*m - 23. Let s(p) = 6*a(p) + 13*o(p). Determine q, given that s(q) = 0. -4, -1, -2/23 Suppose q + 16 = 5*f, 0 = -14*f + 8*f + 3*q + 21. Let v(j) be the first derivative of 0*j - 4/9*j**2 - 8/27*j**f - 1/18*j**4 - 3. Factor v(p). -2*p*(p + 2)**2/9 Suppose -2*x - 4*t + 16 = 2, 0 = x + 5*t - 1. Let i(r) = 7*r**2 + 41*r + 67. Let j(w) = -4*w**2 - 20*w - 34. Let u(p) = x*j(p) + 6*i(p). Factor u(f). -2*(f - 14)*(f + 1) Let x(a) be the third derivative of -a**5/150 - 11*a**4/60 + 5*a**2 - 188. Factor x(u). -2*u*(u + 11)/5 Suppose o - 35 = -m + 3*m, 5*o = 2*m + 167. Let f = o + -29. Let 16/7*y**3 + 2/7*y**f + 48/7*y**2 + 32/7 + 64/7*y = 0. Calculate y. -2 Let o = -1262 + 1281. Let g(p) be the second derivative of 1/22*p**2 + 1/66*p**3 + 0 - o*p - 1/132*p**4 - 1/220*p**5. Factor g(l). -(l - 1)*(l + 1)**2/11 Suppose -3*n = -5*v + 14, -24*v + 23*v + 12 = 4*n. Let o(u) be the first derivative of 15 + 0*u - 5/4*u**v + 5/9*u**3 + 0*u**2. Factor o(c). -5*c**2*(3*c - 1)/3 Let r be 25/(-40) - (-69525)/5768. Suppose -r*l**2 + 32/7 + 88/7*l + 2*l**3 = 0. Calculate l. -2/7, 2, 4 Let r(o) be the first derivative of 4*o - 4/3*o**2 + 1/12*o**4 + 37 - 1/9*o**3. Find a, given that r(a) = 0. -3, 2 Let t be ((-13)/78)/(2/(-8)). Let n = -47563 - -47563. Factor t*b**2 + 0*b**3 - 2/3*b**4 + 1/3*b - 1/3*b**5 + n. -b*(b - 1)*(b + 1)**3/3 Let a(n) be the second derivative of n**6/50 + 3*n**5/100 - 3*n**4/5 + 2*n**3/5 + 24*n**2/5 - 3182*n. Factor a(r). 3*(r - 2)**2*(r + 1)*(r + 4)/5 Let h(n) be the second derivative of -n**4/9 + 56*n**3/9 - 104*n**2/3 + 656*n. Determine m so that h(m) = 0. 2, 26 Suppose -5*l + 5 = -3*t + 4*t, -4*t - 20 = 0. Let f be ((-112)/3360)/(28/(-1270)) - (2 + (-46)/24). Factor -4/7 - f*n + 2*n**l. 2*(n - 1)*(7*n + 2)/7 Let j(b) be the third derivative of b**7/1785 - 9*b**6/340 + 77*b**5/170 - 605*b**4/204 - 467*b**2. Factor j(s). 2*s*(s - 11)**2*(s - 5)/17 Let j = -84 - -86. Suppose -3*u + 5 = 2*c - 2, 0 = -j*u - c + 5. Factor -3*r - 5*r**u - 20*r**2 + 0*r + 8*r + 20. -5*(r - 1)*(r + 1)*(r + 4) Let b be 21132/(-30524)*13/(-3). Determine v, given that -48*v**2 - 52/3 + 10/3*v**b + 62*v = 0. 2/5, 1, 13 Suppose 3*l = 4*o - 31 + 38, -5*o - 32 = 4*l. Let i be (-5)/(-15) - (0 - o/(-36)). Factor -88/9*f**2 + 2/3*f + i. -2*(4*f - 1)*(11*f + 2)/9 Suppose 4*p - 5 = 5*x - 26, 0 = -x + 1. Let m be ((-8)/(-6))/(p/(-6)). Factor 31*z**5 + 9*z + 3 - 6*z**3 + 6*z**m - 34*z**5 - 1 - 9*z**4 + 1. -3*(z - 1)*(z + 1)**4 Let i be 6 - 1016/128 - 4*1/(-2). Let w(q) be the first derivative of -1/20*q**5 + 13/8*q**2 - 28 - i*q**4 + 7/12*q**3 + 3/2*q. Factor w(m). -(m - 3)*(m + 1)**2*(m + 2)/4 Factor -226/3 - 1/3*u**2 - 227/3*u. -(u + 1)*(u + 226)/3 Let f = 599 + -596. Let j be (-3)/(((-3)/4)/1). Determine w, given that -w**4 + 5*w**j - 4*w**f + 6*w**2 + 4*w - 10*w**4 = 0. -1, -2/3, 0, 1 Suppose -5*h = 2*s - 255, -51 = -h + s - 0*s. Let v be (1 + 3)*76/152. Factor -4*o + h - 43 + 11*o - o**v. -(o - 8)*(o + 1) Let d(x) be the third derivative of x**6/120 + 181*x**5/60 - 61*x**4/4 + 2780*x**2. Find c, given that d(c) = 0. -183, 0, 2 Find w, given that -130*w - 24*w**2 - 60 - 550*w + 108*w**2 + 31*w**2 = 0. -2/23, 6 Solve -10585048 + 54644 - 203041 + 249615*c + 5*c**3 - 1935*c**2 = 0 for c. 129 Let k be (-1 + 72/80)*-232. Let y = -22 + k. Solve -4/5*a + 2*a**5 - 14/5*a**4 + 0 - y*a**3 + 14/5*a**2 = 0 for a. -1, 0, 2/5, 1 Let t(o) be the second derivative of -5*o**7/147 + 58*o**6/105 - 131*o**5/70 - 61*o**4/21 + 136*o**3/21 + 64*o**2/7 - 2880*o. Find f such that t(f) = 0. -1, -2/5, 1, 4, 8 Let g(q) be the second deriv
{ "pile_set_name": "DM Mathematics" }
/o)*o)/o*o)/(o*o**(-2/3)/o))*(o**(-9)/(o/(o**(-1)/o)*o*o))**(-14/11) assuming o is positive. o**(3523/165) Simplify ((b/b**(-9)*b)/(b*b**(-2/7)))**(-36/5)*(((b/b**(-2/3))/b)/(b*b*b**4*b*b))**44 assuming b is positive. b**(-41656/105) Simplify i**(-15)*(i*i**(2/7)/i)/i*i**(-31)/i**(35/3) assuming i is positive. i**(-1226/21) Simplify (((h**7/(h*h**0*h))/(h*h/(h*h**(3/8))*h*h**(-4)))**(-43))**(-27) assuming h is positive. h**(68499/8) Simplify (((u/((u**(3/5)/u)/u)*u)/u)/(u*u/((u/(u/(u/(u**(-1/13)/u)))*u)/u)*u)*u*u**(-2)*u*(u/(u*u/(u**(-2/19)/u*u)))/u)**48 assuming u is positive. u**(-37248/1235) Simplify ((d/d**(-14))/((d*d**(-9/5)*d)/d)*(d**(-13/4)/d*d)**16)**(-14) assuming d is positive. d**(2534/5) Simplify (((v/(v/((v*v/v**10)/v)))/v**(-33))**(-2/11))**(-25) assuming v is positive. v**(1200/11) Simplify ((h**(-28)*h*h)**38*(h*h/(h*h*h**11*h)*h)/(h*h/h**(-20)))**43 assuming h is positive. h**(-43903) Simplify (p**(20/9))**30*p**(-35)/(p/(p**(-43)/p*p)) assuming p is positive. p**(-37/3) Simplify ((k**1/k)**(-1/8))**(-1/31)*(k**(-7)/k**(2/3))**(11/2) assuming k is positive. k**(-253/6) Simplify ((g/g**(-3/5))/(g/(g*g**(-8))*g))/((g/(g*g**(-1)*g*g)*g)/g)**(-2/7)*(g**(-10)/g**2)**17 assuming g is positive. g**(-7409/35) Simplify v*v/(((v/v**(3/2)*v)/v)/v)*v*v**1*(v**0)**(36/5)*(v**0/v*v*v*v**(4/9)*v)/(v**2*v*v**4/v) assuming v is positive. v**(35/18) Simplify ((b*b**(-3))**(-4/7)*b/(((b/(b**(-8)/b))/b*b)/b*b*b)*b**(-2/3)*b*b)**(25/2) assuming b is positive. b**(-1975/21) Simplify (((z**(-2/21)/z)/z)/z*z**(2/73))/(z/(z/z**(5/7)))**(6/23) assuming z is positive. z**(-114739/35259) Simplify ((l*l**(1/23))/l**18*l**(-11/3)/((l/(l**11/l))/l*l))**(-4/23) assuming l is positive. l**(3208/1587) Simplify ((v/(v/(v/v**(-2/3)*v)))**46)**(-10)/((((((v/(v*v*v/(v**(-1/2)*v)))/v)/v)/v*v)/(v*v**(-1/3)))/(v**(-3/5)*v**1)) assuming v is positive. v**(-12221/10) Simplify (((h**(-17))**49)**(-40))**(-12/17) assuming h is positive. h**(-23520) Simplify ((d/((d**(1/5)/d)/d))**(-36)/(d**(-3))**(-23))**41 assuming d is positive. d**(-34809/5) Simplify (y/(y*y*y/y**(12/5))*y**(-37/3))/((y**(-21/2)/y)/y**35) assuming y is positive. y**(1037/30) Simplify (g**(-1/20)/(g*g**(-2/37)*g))/((g*(g/(g*g**(-6)))/g)/(g/((g**(-24)/g)/g))) assuming g is positive. g**(14063/740) Simplify ((z*z/(z/((z/z**4)/z*z))*z**(-10/7))/((z**(-8/11)/z)/z*z*z**(-3/11)))**(13/3) assuming z is positive. z**(-130/21) Simplify ((o*o/o**(-2)*o*o)**23/(o**(1/16)*o**(1/3)/o))**(-1) assuming o is positive. o**(-6653/48) Simplify (c*((c*c**22)/c*c)/c*c**9*((c**1*c)/c)/c*c**(-7))**(4/15) assuming c is positive. c**(20/3) Simplify (h*h**(3/7)/h*h**(-4/7))**(-2/63)*(h/(h**(-2/7)/h)*(h*(h*((h*h**6)/h)/h*h)/h)/h)**(-31) assuming h is positive. h**(-113272/441) Simplify (h**1*h**(-1)*(h*h**(2/5))**(-6))/(h**(4/5)*h**(-1))**(-29) assuming h is positive. h**(-71/5) Simplify ((m*m**(-1/5))**(-13)/(m*m**4*m**(-9/2)))**(-1/2) assuming m is positive. m**(109/20) Simplify (p*p/((p*p/(p*p*p**(-2)))/p)*p*p/(p*p/(p*p/p**(-10))*p))/(((p/(p/(p**29*p)))/p)/p)**(1/17) assuming p is positive. p**(176/17) Simplify ((a*(a*a*a*a*a**(-1/10)/a*a)/a*a*a**(-6))/(((a/(a*a/(a**(-3/10)/a)))/a*a)/(a/(a/a**(-6/11))*a)))/((a/(a/a**(-4)*a))/a**8)**17 assuming a is positive. a**(12246/55) Simplify (m**(4/9)*m*m**(-2/23))**(-23/6)*((m*m**(-3)*m)**(2/33))**(-1/15) assuming m is positive. m**(-15443/2970) Simplify ((z/z**(-2/9))/(z/(((z/(z*z**(-1/4)*z))/z)/z)))**(30/11)*(z**(-7)/z*z**(-3/2))/(((z*z*z**(1/9))/z)/z**(-3)) assuming z is positive. z**(-2030/99) Simplify (b**(-1/7)/(b/b**(4/5)))**43/((b/b**(-1/4))**5*(b**(2/3))**(-5/12)) assuming b is positive. b**(-26101/1260) Simplify ((w*w**(-36))/w*w/(w*(w/(w*w/w**(1/3))*w)/w))/(w**(14/9)/(w*w**(-21)*w*w)) assuming w is positive. w**(-494/9) Simplify (z*z/(z*z**(-1/6)/z)*z)**(-2/51)*(z*z*z**43)/(z/z**(-42)) assuming z is positive. z**(287/153) Simplify (z**(1/3)/z**5)**22/((z**0)**(-42))**(2/31) assuming z is positive. z**(-308/3) Simplify ((c*c*c**2)/c**(4/3))**(-3/4)/((c**(-3)*(c/(c**6*c))/c)/(c**(-1/7)*c*(c*c*c**(-1)*c)/c)) assuming c is positive. c**(69/7) Simplify (((m/(m*m*m**(4/11)))/((m*m*(m**(-16)*m)/m)/m)*(m**(1/8))**23)**(2/87))**(-17/2) assuming m is positive. m**(-24701/7656) Simplify ((r**(-2/5)*r)/r)/r**(2/7)*r*r/r**(1/2)*((r**6*r)/r)/r*r**(2/5)*r*r**(2/5)*(r**(-1/2)*r)**(-44) assuming r is positive. r**(-1007/70) Simplify ((x/(x*x/(x*x/(x/x**(-2/23))*x)))/(x**(-2/13)*x))**(-1/2)*(x**(-1)/x)**(-4/9)*(x**2/x)**24 assuming x is positive. x**(66886/2691) Simplify ((p/p**(2/5)*p/(p**5*p))/(p*p**(2/3)*p)**(-28))/(p**(1/3)*p**(-5))**22 assuming p is positive. p**(2594/15) Simplify (((((x/x**(2/15))/x)/x*x)/x)**41*(x**(-4)/x)**38)**(16/3) assuming x is positive. x**(-56752/45) Simplify (y*((y*y**(-1))/y)/y)**(3/14)/(y*y**3*y**(-1/5))*(((y**(-1)/y*y)/y)/y)**(-29)*(y*(y*y/(y**1/y))/y*y*y)**(-2/35) assuming y is positive. y**(5793/70) Simplify ((c**(4/15))**(-20)*c**(-1/61)/c**(4/21))**(1/6) assuming c is positive. c**(-7097/7686) Simplify ((((a*a**(-10))/a*a)/(a*a*a**(-6)*a))/(a**(3/10)*a/a**8*a))**(-26/3) assuming a is positive. a**(13/5) Simplify (((g*g/(g*g**(-7)))/(g/((g*g/(g/g**(-3/7)))/g*g*g)))/(g/(g*g**(-6))*g*g/(g*g/g**1)))/(g**(-10)*g**(2/9))**(-10/3) assuming g is positive. g**(-5863/189) Simplify (y*y/(y/y**10)*y*y**7*(y**(-2/13)/y*y*y)**(-13))**(2/13) assuming y is positive. y**(16/13) Simplify ((m**(-4)*m**(1/9)*m*(m*m**4)**(-6/11))**(-28))**41 assuming m is positive. m**(638288/99) Simplify (f**6/f**(-2/9))/(f*f**0)**(-34)*((f**(-1/2)*f*f)**(4/7))**33 assuming f is positive. f**(4316/63) Simplify ((o**(-1/2))**24)**(2/21)/((o/((o*o*o*o*o**(1/7))/o)*o*o)/o*o*o*o*o/(o/o**(1/2)))**(-11/3) assuming o is positive. o**(15/2) Simplify (((o*o**(-5/4))/o)/(o*o**(1/4)))**(3/7)*(o**(-1/3)/o**(2/7))**18 assuming o is positive. o**(-171/14) Simplify ((g**5*g)**24*(g*g**(-2/17)*g)/(g/(g/g**19)))**(-27/7) assuming g is positive. g**(-58239/119) Simplify ((u/(u*(u/u**3)/u))**30*((u/u**(-1))/u)**48)**5 assuming u is positive. u**690 Simplify (u**(1/4)/(u/(u*u**8)))/((u**3/u)/((u*u**6)/u))*(u*u*u**(-1))/u*u**(-2)*((u/u**(-1/3))/u)/(u/u**(5/4)) assuming u is positive. u**(65/6) Simplify ((x*x*(x*(x/x**(-1))/x)/x)/x*(x**(-1)/x)/x)**(6/7)/((x*x**(-5)*(((x*x**(2/9))/x*x)/x*x)/x)/(x*x**(-1))**(-1/13)) assuming x is positive. x**(184/63) Simplify ((z/(z/z**(-15)))/(z/z**(-6/5)))**(-22)*(((((z/z**(-2/43)*z)/z)/z)/z)/((z**(1/4)/z)/z))**(-7/3) assuming z is positive. z**(971477/2580) Simplify (((n*n**(2/13))/n*n*n)**6/(n*n**(-4)*n*n)**(2/9))**(2/47) assuming n is positive. n**(3076/5499) Simplify (r**6)**42*(r**24*r)/((r/(r*r*r**(-44)/r))/r) assuming r is positive. r**234 Simplify (x**(-2/9))**(-1/44)*x/(x**(3/8)/x)*x**(-1/5)/x*x*(x**(7/4)/x*x)/x**(2/5)*(x/x**6*x)/x*x*x/(x/x**(2/3))*x assuming x is positive. x**(1769/3960) Simplify ((v/v**(17/3))**14/(v/(v/((v*v**2*v)/v))*v*v**2))**15 assuming v is positive. v**(-1070) Simplify (s**(9/2)/s**(-3/22))/(s**(-14)/(s/(s*s*s**18)*s)) assuming s is positive. s**(7/11) Simplify (i**(-1/4)*i*i/(i**(-2/15)/i*i))**(-26)/(i*i**(2/3)*i/(i*i**4*i)*(i*i/((i*i*i/((i/i**(-5))/i))/i))/(i**(1/5)*i)) assuming i is positive. i**(-1483/30) Simplify (o*o/(o*o**(-1/18)*o*o)*o/(o*o*o*o**8*o*o*o*o))**(-48)/(((o*o**(1/2))/o*o/(o*o*o**(-2/13)*o))/((o**(-2/7)/o)/(o/o**(2/17)))) assuming o is positive. o**(6650659/9282) Simplify (l*l**(-5)*(l/(l*(l**(2/3)*l*l)/l))/l*((l*l**(-3)*l)/l*l)/l*l/((l**(-6)*l)/l))/(l**2/l**(-6)*l**(1/4)*l**4) assuming l is positive. l**(-167/12) Simplify ((i**(-8/9)/i)/i**(-2/17)*(i**(-4)/i)**(-1/26))**(10/11) assuming i is positive. i**(-2855/1989) Simplify ((p**(-8)/p)/(p/(((p/p**10*p)/p)/p)))**(-21)*(p**6*p*p/(p*p/(p*p/(p*p**(1/5)*p)*p)*p))/(p/((p/(p**(-2/9)*p))/p)*p**(-3)*p) assuming p is positive. p**(19171/45) Simplify ((z/(z*z/(z*z**(-1/4))))**35)**(3/26)*((((z**1/z)/z*z)/z)/z)**(-1/7)*(z**(-1/4)/z)**2 assuming z is positive. z**(-2347/728) Simplify ((((u*u**(-1))/((u*u*u**2)/u))**(-2/89))**32)**(-36/7) assuming u is positive. u**(-6912/623) Simplify y**(-1/5)/(y**(1/3)*y)*(y*y*y/y**(-4))/y**0*(y/(y**(1/2)/y))/y**3*(y*y**0)/(y/(y/(y/(y*y**(1/4)*y)))) assuming y is positive. y**(373/60) Simplify r**(-10/9)*r**(-33)*r*r*r**(-38)*r**(-1) assuming
{ "pile_set_name": "DM Mathematics" }
s positive. a**(35/2) Simplify (b/((b/(b*b**(-1/32)*b)*b*b*b)/b*b))/b**(-15) assuming b is positive. b**(447/32) Simplify (t/t**(3/2)*(t/(t**(-4)/t))/t)**14 assuming t is positive. t**63 Simplify (i/(i/((i/(i/i**(-3/19)))/i)*i)*i**(2/27))**(-37) assuming i is positive. i**(39553/513) Simplify (((o**3*o*o)/o)**5)**(-2/11) assuming o is positive. o**(-40/11) Simplify (h*h**(-1/4)*h*h)**(2/7)/(h*h*h*h*h/h**1*h)**37 assuming h is positive. h**(-2579/14) Simplify (o**(-5)*o*o**(-1/3)*o)/(o*o**4*o*o/(o*o**(2/23))*o) assuming o is positive. o**(-707/69) Simplify (u*u*u**1)**33*(u/(u*(u/(u/(u/(u/(((u**(1/2)*u)/u)/u))))*u)/u*u))**(-17) assuming u is positive. u**(215/2) Simplify (t**(1/6))**(-14)/((t*t**(5/2))/(t*(t**(-2/33)*t)/t*t)) assuming t is positive. t**(-257/66) Simplify n**(-6)/n**(-2)*(n*n/n**(-6))/n**6 assuming n is positive. n**(-2) Simplify m*m*m*m/(m*m**(-2/23)*m*m*m)*m*m*m*m/(m*m**3) assuming m is positive. m**(2/23) Simplify t**(-6/11)*t**(17/5) assuming t is positive. t**(157/55) Simplify (h**(-5)/h**(-2/33))**(-3/11) assuming h is positive. h**(163/121) Simplify ((n*n**(-2/7))/n*n**(2/7))**11 assuming n is positive. 1 Simplify (l**(-15))**(5/7) assuming l is positive. l**(-75/7) Simplify (((o*o**(1/3))/o)**36)**(2/23) assuming o is positive. o**(24/23) Simplify n*n**(4/5)*n*n**(-2/17) assuming n is positive. n**(228/85) Simplify j**4*j*j/((j/((j/j**(12/13))/j))/j)*j assuming j is positive. j**(79/13) Simplify (a/(a*a/(a/a**(-2/7))))**(2/103)*(a*a**(2/13)*a)/a**(6/7) assuming a is positive. a**(12206/9373) Simplify (w*(w/(w/(w/(w*w**(-4)))))/w*w)/w**(-7)*(w*w/((w/w**(1/3))/w))**(-4) assuming w is positive. w**(8/3) Simplify s**(6/5)*s**(5/4)*s*s assuming s is positive. s**(89/20) Simplify (t/(t*t**6*t))**(2/33) assuming t is positive. t**(-14/33) Simplify ((x*(x**(-2)*x)/x)/x*x)**(23/4)*x**(-1/7)*x*x*x/(x**(-7)/x)*x assuming x is positive. x**(171/28) Simplify a/a**10*a**(-14/3) assuming a is positive. a**(-41/3) Simplify ((b/(b/((b**(2/13)/b)/b*b)))**10)**(3/2) assuming b is positive. b**(-165/13) Simplify (n**(-8)*n*n**(7/6))**(-6/13) assuming n is positive. n**(35/13) Simplify o**(1/30)*o**2/o assuming o is positive. o**(31/30) Simplify ((f*f**(-1/14))/(f**2*f*f))/(f**(2/9))**15 assuming f is positive. f**(-269/42) Simplify b**(11/3)*b*b/b**(-2/15) assuming b is positive. b**(29/5) Simplify (n**(-3/8)*n*n)**30 assuming n is positive. n**(195/4) Simplify ((w*w**(-4))**25)**(-16/5) assuming w is positive. w**240 Simplify (j*j**(-1/13))**14 assuming j is positive. j**(168/13) Simplify ((s/s**27*s)/s)**33 assuming s is positive. s**(-858) Simplify (b**(-21)/b)/b**(6/5) assuming b is positive. b**(-116/5) Simplify (j**3/j**(-11))**36 assuming j is positive. j**504 Simplify (i**(-2)/((i/i**(-2))/i))**(3/14) assuming i is positive. i**(-6/7) Simplify a**(-5)*a/(a/(a/a**(1/6))*a) assuming a is positive. a**(-31/6) Simplify o**23*o*o/(o/o**(1/12))*o*o assuming o is positive. o**(313/12) Simplify (n**(2/3)/n*n**(-3/4))/(((n*n*n**0)/n)/((n**6/n*n)/n*n)) assuming n is positive. n**(47/12) Simplify (u/u**15)/(u/(u/((u/(u**6*u))/u))*u) assuming u is positive. u**(-8) Simplify (x**(5/9))**(2/175) assuming x is positive. x**(2/315) Simplify (q**0)**(4/19) assuming q is positive. 1 Simplify (o*o**(-2/25)*o)/o**17 assuming o is positive. o**(-377/25) Simplify (t*t*t*t**(-4)*t)/t*t**(2/7)*((t*t/(t*(t/(t*t/(t*t**(-1/4)*t)*t))/t)*t*t)/t)**(-3) assuming t is positive. t**(-293/28) Simplify ((r/(r/((r**(-2/5)*r*r)/r)))/r*r**(-3))/(r**(2/11))**(-11/2) assuming r is positive. r**(-12/5) Simplify (q**0)**50*(q**(-2/7))**(-1/39) assuming q is positive. q**(2/273) Simplify (u/(u*u**(6/11)*u)*u**(1/4))**(17/5) assuming u is positive. u**(-969/220) Simplify ((s*s**(6/13))/(s/(s/s**(-1))))**(-40) assuming s is positive. s**(-1280/13) Simplify y**(2/15)/y*y*y*y*y**12 assuming y is positive. y**(212/15) Simplify s**(-1/7)/(s/(s/(((s/(s*s/(s*s/(s/(((s*(s**(-5/9)*s)/s*s)/s)/s))*s)))/s*s)/s))) assuming s is positive. s**(26/63) Simplify (b**(2/9)/b**(-1/9))**(-5/7) assuming b is positive. b**(-5/21) Simplify ((m/(m**0*m))/m)**(-3/4)/(m**(-8)/m**(-2/11)) assuming m is positive. m**(377/44) Simplify (r**(-2)/((r/r**2)/r*r))/(r*r/(r*r*r**(-3)*r*r*r)*r*r*(r**5/r)/r) assuming r is positive. r**(-6) Simplify ((h/h**(-9)*h)/h**(-1/2))**4 assuming h is positive. h**46 Simplify (q*q*q**5*q)**(-32) assuming q is positive. q**(-256) Simplify (o**6*o/(o*o*o/(o*o**(-9))))/(o/o**1)**37 assuming o is positive. o**(-4) Simplify (c**(-9/4))**(-23) assuming c is positive. c**(207/4) Simplify (z**(-1))**(-7/4)*z**3/(z**(-6)/z) assuming z is positive. z**(47/4) Simplify ((f/(f/(f**25*f))*f)/f)/(f*f/((f/(f/(f*f**(2/9)/f)*f))/f)*f) assuming f is positive. f**(191/9) Simplify (j*j/(j**(-8)*j)*j)**(-4/11) assuming j is positive. j**(-40/11) Simplify (y**(-24))**(-10/3) assuming y is positive. y**80 Simplify ((j**(2/7)/j)/j)**(-32)/(j**1*j)**(2/7) assuming j is positive. j**(380/7) Simplify (q*q*q**(-1)/q*q)**(-26) assuming q is positive. q**(-26) Simplify (b*b/(b/((b/(b*(b*b**4)/b))/b)*b))/b**(16/3) assuming b is positive. b**(-31/3) Simplify ((t*t**(-1))**9)**50 assuming t is positive. 1 Simplify (v/v**4)**(1/9) assuming v is positive. v**(-1/3) Simplify (d**7*(d/(((d/(d*d/d**(-7)*d)*d*d)/d)/d))/d*d)**(-4/21) assuming d is positive. d**(-68/21) Simplify ((y/((y**(3/2)/y*y)/y))/y**(-6))**(-1/28) assuming y is positive. y**(-13/56) Simplify ((h*h**(3/10))/((h**(-1/5)/h)/h))/(h*h**(-2/27)/h*h**(-7)) assuming h is positive. h**(571/54) Simplify (n/((n*((n/(n/(n*n**(-2/5)*n)))/n)/n)/n*n))**12/(n**(-1/3))**(-18/7) assuming n is positive. n**(138/35) Simplify (j**(-5/4)/j**(-2/3))**41 assuming j is positive. j**(-287/12) Simplify (y*(y*(y/(y/(y*y**3/y)))/y)/y*y*y)/y*y**7*(y/(y*y/y**(-1/2)*y))/(y/y**1*y) assuming y is positive. y**(15/2) Simplify n**(-5/8)/(n**(-2)*n) assuming n is positive. n**(3/8) Simplify r*r**(-2/25)*r*r/(r/((r/(r**(-22/7)/r))/r))*r assuming r is positive. r**(1236/175) Simplify (g**4/(g/(((g**8/g*g)/g)/g)))**21 assuming g is positive. g**189 Simplify (h**(2/5))**(-7/10)*h**(-2/25)*h*h/(h/(h**6/h)) assuming h is positive. h**(141/25) Simplify (q*q/(q/q**(-21))*q)/q**(9/5) assuming q is positive. q**(-104/5) Simplify ((s**(1/3)*s)**(-16))**(1/37) assuming s is positive. s**(-64/111) Simplify (i**(-1/4))**14*i**(-3/5)/(i/(i*i**9*i*i)) assuming i is positive. i**(69/10) Simplify ((c*c*(c/(c/(c**(-13)/c)))/c*c*c)/c)/c*c*c**12 assuming c is positive. 1 Simplify ((c*(c*c**(-19)*c)/c)/(c*c**(-13/6)))**(-2/71) assuming c is positive. c**(95/213) Simplify j**(8/5)*((j/(j/j**(1/7)))/j)/j*j assuming j is positive. j**(26/35) Simplify o/(o*o/(o/o**(-19/5)))*o**(-1/22)*o*o assuming o is positive. o**(633/110) Simplify n/(n/(n**8/n))*n/(n*(n/((n*n*((n*n/(n/n**(-2/9))*n)/n*n)/n)/n)*n*n)/n*n)*n*n/(n/(n*n**4))*n*n*n**(1/15)*n assuming n is positive. n**(668/45) Simplify ((f/(f*f**(-3)))/f*f)/f*f**1*f*f**(-2)*f**(1/7) assuming f is positive. f**(15/7) Simplify p*p**25*(p*p/(p*p**(2/7)/p*p)*p)/p assuming p is positive. p**(187/7) Simplify d*d/d**(15/4)*(d/d**18)/d assuming d is positive. d**(-79/4) Simplify (k**8)**(-1/26) assuming k is positive. k**(-4/13) Simplify (f**(3/2)/f)/f*f*f**(-2/5)*(f/(f/((f*f**8)/f)))/f*f/f**(2/13) assuming f is positive. f**(1033/130) Simplify (u**(-2)/(u**(-2)*u*u))/(u*u**(-1/2))**(1/42) assuming u is positive. u**(-169/84) Simplify ((j**(-1))**(-29))**(-48) assuming j is positive. j**(-1392) Simplify ((r**(-6)/r)/r*r/r**(1/8))**(-1/41) assuming r is positive. r**(57/328) Simplify (t**(-2/5)/(t*t**(-4/7)))/((t**(-2/7)/t*t)/((t/(t/(t/(t**(-6)/t)*t)))/t)) assuming t is positive. t**(261/35) Simplify (((d/((d/((d/(d*d**(-1/9)*d*d*d))/d)*d)/d))/d)/d)/d**3 assuming d is positive. d**(-80/9) Simplify u**10*u/u**(-5/9) assuming u is positive. u**(104/9) Simplify ((u**15/u*u)/(u**(-9)*u*u*u))**9 assuming u is positive. u**189 Simplify (d*d*d*d**(2/9)/d*d*d*d*d**(-3))/(((d**5*d)/d)/d**(-7)) assuming d is positive. d**(-88/9) Simplify (r/(r/(r/((r**(-1/4)/r)/r))*r))**(4/17)/(r*r*r**(-2/3)*r**(-1/6)) assuming r is positive. r**(-65/102) Simplify ((d**7/d)/d**(-5))**(-2) assuming d is positive. d**(-22) Simplify (((u/u**29*u)/u)/u)/(u/(u**5*u)) assuming u is positive. u**
{ "pile_set_name": "DM Mathematics" }
5*w, 2*w = 0. Find the common denominator of 353/(-45) - (-32)/i and 15/11. 99 Let h = -4 - -8. Calculate the smallest common multiple of 11 and h. 44 Let h = 633945/32 + -19813. Find the common denominator of 49/4 and h. 32 Suppose x + z = -3*z - 70, -2*x - 5*z = 146. Let a be (-5)/((-5)/x) - 2. Calculate the common denominator of -85/4 and (-461)/a + (-2)/10. 16 Let s = 78221/14 + -5591. Let i = -13483/60 - -1094/5. Calculate the common denominator of s and i. 84 Let h = 5/2042 - 48520/9189. What is the common denominator of 74/27 and h? 54 What is the common denominator of 111/22 and ((-24)/(-20))/(16/34)? 220 Let i = -86 - -91. Calculate the lowest common multiple of 6 and i. 30 Let k be 0 - -6 - (-6)/3. Find the common denominator of (-86)/22 + k/8 and (-178)/(-4) + -1 - -2. 22 Suppose k + 5 = 3*d - 2*d, 2*d = -3*k + 15. Let u = 3 + -16. Let l = u - -22. Calculate the least common multiple of d and l. 18 Suppose -44 = -3*m + h, 2*h - 36 + 12 = -m. Suppose m*x = 12*x + 32. Calculate the smallest common multiple of 8 and x. 8 Let d = -4097/78 + 867/13. Suppose 0 = p - 5*p + 5*u - 64, -60 = 4*p - 4*u. Find the common denominator of (p/605)/((-2)/305) and d. 66 Suppose -5*l - 3 = 67. Let k be (-276)/l*(-20)/(-6). Let n = -848/21 + k. What is the common denominator of n and -113/6? 6 Let w(j) = -j**3 - 10*j**2 + 23*j - 8. Let i = 11 - 7. Calculate the lowest common multiple of w(-12) and i. 4 Suppose 0*v - 10 = 2*v. Suppose 3*z = -4*d + d + 24, d = -2. Calculate the smallest common multiple of ((-18)/v)/((-12)/(-80)) and z. 120 Let x(d) = -3*d**2 - 4 + 1 + 5*d**2 + 2*d. Let r = -33 + 41. Calculate the lowest common multiple of x(-3) and r. 72 Let n = 6568/9 + -728. What is the common denominator of n and -43/2? 18 Suppose 4*z = 5*z - 14. Suppose 3*d - 8*d + 27 = -j, -3*d = -4*j - 23. What is the least common multiple of j + (-2 + -1 - -25) and z? 140 Let j = -4335563/593304 + 27/3352. Let t = j - 2/59. Find the common denominator of 63/5 and t. 15 Let f(r) = r**2 + r. Let p be f(-3). Let s = p + -4. Calculate the lowest common multiple of s and 18. 18 Let b(u) = u**2 - 4*u + 5. Let i(s) = -5*s**3 - s - 1. Let c be i(-1). Let x = -9 + 15. Calculate the lowest common multiple of b(c) and x. 30 Let b be (-1 - -3)*145/10. Suppose -3*u + 4*h = -47, 5*u - b - 38 = h. Calculate the least common multiple of 2 and u. 26 Let u = 80 - 74. What is the lowest common multiple of u and 35? 210 Suppose -4 - 2 = -2*p. Suppose t - 240 = -p*t. Let u = 86 - t. Find the common denominator of u and -7/3. 3 Suppose 0*c = c + 3. Calculate the smallest common multiple of 22 and 2 - (c*5 - -1). 176 Suppose -f = -2*k + 1 + 10, 0 = 2*f - 10. What is the smallest common multiple of k and 3? 24 Suppose -o + 5*h - 28 = 0, 2*o + o - 11 = -4*h. Let d(k) = k**2 - 3. What is the smallest common multiple of 2*(-3 - (-51)/6) and d(o)? 66 Find the common denominator of 8/11 and 1290/175 - 16/20. 77 Let j(o) = -o**3 + 7*o**2 + 11*o - 11. Calculate the least common multiple of j(8) and 3. 39 Let r = -308 + 14478/47. Let s = 1547/94 + r. What is the common denominator of -3/5 and s? 10 Suppose -17 = 4*o - 117. Find the common denominator of 65/(-10)*2/8 and o. 8 Let o be ((-9)/(-6))/((-3)/(-8)). Let g = o - 3. Suppose -2*s + 46 = 4*y, 6*s - 43 = -2*y + s. Calculate the smallest common multiple of g and y. 9 What is the least common multiple of 7 + ((-1 + 2)*-1)/1 and 20? 60 Suppose 40 = 119*q - 111*q. What is the lowest common multiple of q and 37? 185 Let v = -38 + 92. Suppose r + v = 4*r. What is the least common multiple of r and ((-6)/(-5))/(6/20)? 36 Let g be (-735)/(-468)*15/22. Let j = g + -13/88. What is the common denominator of j and -14/5? 65 Let a = 11 + -3. Let c = a + -5. Suppose -c*p + 5*n = -16, p - 4*n = -4*p + 44. What is the least common multiple of p and 8? 24 Calculate the common denominator of 83/8 and (0 - (-27)/(-6))/((-7)/(-35)). 8 Let x = 4 + 1. Let j(z) = -z**2 + 9*z - 2. What is the least common multiple of j(x) and 14? 126 Suppose 3*l - 7*l = -12. Calculate the least common multiple of l and 11. 33 Let v = -58/21 + -1627/42. What is the common denominator of 29/22 and v? 22 Let i = 2925 + -23471/8. Calculate the common denominator of i and 13/(-2) + (-3)/15. 40 What is the common denominator of (4/50)/(4/615) and -20/3? 30 Let b(g) = 2*g - 6. Let v(t) = t - 14. Let x be v(11). Let k = x + 8. What is the least common multiple of k and b(6)? 30 Let z = -113 + 314/3. Calculate the common denominator of z and 57/10. 30 What is the smallest common multiple of (136/6 + -4)/((-2)/(-3)) and 4? 28 Suppose -5*s - 696 = -11*s. What is the smallest common multiple of 8 and s? 232 Let w(h) = 2*h - 2. Let a = 16 - 22. Let v(c) = -c - 1. Let f be v(a). What is the lowest common multiple of w(f) and 4? 8 Let l be (70/(-15))/((-8)/(-90)). Let x = l + 125/3. What is the common denominator of 2 - (-202)/(-32) - -1 and x? 48 Suppose -4 = -2*d - 0. Calculate the common denominator of -50/7 and 2*d/(120/39). 70 Let i = -1/4206 + -60979/33648. Calculate the common denominator of i and -2 + (-3)/(24/170). 16 Suppose 3*w - 2*a = -26 + 86, -78 = -4*w + 2*a. Let r be (0 - -3) + 0/2. Let s(f) = f**2 - f. What is the lowest common multiple of w and s(r)? 18 Let t = -1314577/724329 - -2/26827. What is the common denominator of t and 113/18? 54 Suppose v + 40 = 3*h - 3*v, 3*h + 2*v - 70 = 0. Suppose 4*f = -78 + 18. Let q = 21 + f. What is the lowest common multiple of h and q? 60 Let k(z) = 3*z**2 + 2*z + 2. Suppose 16 = -11*q + 214. What is the lowest common multiple of k(-2) and q? 90 Let o(z) = -z**3 + 5*z**2 - 2*z - 3. Let a be o(4). Suppose -6*r - 20 = -a*u - r, -5*r = 4*u - 52. Calculate the smallest common multiple of u and 2. 8 Let b(v) = 2*v - 6. Let t be b(8). Suppose 0 = 4*p + t + 14. Find the common denominator of (p/(-20))/(18/201) and 19/10. 20 Let c(h) = h + 6. Let n(u) = -u**2 - 5*u**2 + 3*u**2 - 2*u**3. What is the smallest common multiple of n(-2) and c(5)? 44 Let g = 25996 + -337786/13. Let p = -505/52 + g. Find the common denominator of p and 123/10. 20 Find the common denominator of -17/16 and (-878)/(-80) + 20/50. 16 Let r(f) = f**3 + 10*f**2 + 8*f - 1. Let d be r(-9). Let m = d - 4. What is the least common multiple of m and 11? 44 Let d = -6 + 8. Suppose 3*g + 4*s - 70 = -0*s, -3*s = 2*g - 47. What is the lowest common multiple of g and ((-8)/d)/(1/(-2))? 88 Let h(d) = -d**3 - 5*d**2 + 7*d - 5. Let j be h(-7). Let v = j - 22. Calculate the smallest common multiple of v and 2. 22 Suppose -32 = -13*s + 9*s. Suppose u + 7 = -3*k, -12 = -4*u - 6*k + 4*k. What is the least common multiple of u and s? 40 Let c = 26 + -12. What is the least common multiple of 12 and c? 84 Suppose 2*o = -t + 12 + 11, 0 = -2*o + 3*t + 11. Suppose 0 = 4*v - 18 + o. Calculate the lowest common multiple of 3 and v. 6 Let o be (-4362)/(-8) + -2 - 1. Let z = o - 19367/36. What is the common denominator of 53/12 and z? 36 Suppose -9 = 49*h - 52*h. What is the lowest common multiple of 3 and h? 3 Let q = 4115/2 + -2010. What is the common denominator of q and -77/8? 8 Let d = 7602 - 60723/8. Let c = 30/469 + -25337/7504. What is the common denominator of d and c? 16 Let d(c) = 2*c**3 - 4*c + 6. What is the smallest common multiple of d(2) and 12? 84 Suppose 0 = -q + 6*q - 45. Suppose -2*b = -q - 29. Suppose 3 = -2*c + 3*l, 5*l + 6 = 2*c + b. Calculate the lowest common multiple of 10 and c. 30 Let t = -12 + 26. Suppose 0*w - 4*w = -16. Suppose 4 = w*v - 4*q, 3*v + 6 = 8*v - 4*q. What is the smallest common multiple of t and v? 14 Suppose h - 5 = 3*r, 9 = 3*h - 5*r - 10. Let l = -7 + h. What is the smallest common multiple of l and 10? 10 Suppose 5*j - 10 = -0*j. Suppose j = -g + 4. Calculate the smallest common multiple of (-12)/(-8) - 87/(-6) and g. 16 Let r be (-32)/(-6) - 2/(-3). Suppose 3*k - r = -0*k. Suppose k*p = -4*n + 32, -1 = 3*n + 8. What is the lowest common multiple of p and 12? 132 Suppose -2*v = 2*h - h - 3, 14 = -4*v + 2*h. Find the common denominator of -35*v/32*-2 and (-294)/(-60) - (-5)/((-15)/(-6)). 80 Let v(i) = -5*i + 2. What is the least common multiple of v(-1) and 10? 70 What is the lowest common multiple of (1 + -3)*7/(-14) and 4? 4 Let t be (-45796)/(-9429) - (9
{ "pile_set_name": "DM Mathematics" }
(sqrt(99) + 3) + -4*(sqrt(99) - (sqrt(99) + -4)))*5 + -5))**2. -57600*sqrt(11) + 382000 Simplify ((sqrt(1470) + sqrt(1470) + sqrt(1470) + (-4*sqrt(1470)*-2 - sqrt(1470)) - 1*sqrt(1470)*-6)*2)/(-1*3*(sqrt(10)*2*4 + (sqrt(90)*2)/sqrt(9))). -112*sqrt(3)/15 Simplify ((sqrt(300) + sqrt(300)*-3*1 - sqrt(300) - -4*(sqrt(300) + -4)) + -6*((sqrt(300) + 3*sqrt(300) - sqrt(300)) + sqrt(300) + -3)*-3)**2. -102200*sqrt(3) + 1603600 Simplify ((-1*(sqrt(6) + sqrt(96) - sqrt(48)/sqrt(2)))/(2*(1*sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(108) + sqrt(108) + 3*sqrt(108)) + -1)**2. 3*sqrt(2)/14 + 401/392 Simplify (((sqrt(405) - 3*(-2 + sqrt(405)))**2 + -5)*-3 + ((-1*sqrt(405)*1)**2 - (5 + -4*sqrt(405) + sqrt(405) + sqrt(405))))*-3. -1998*sqrt(5) + 13659 Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) + 0 - sqrt(117)) + -5)) + sqrt(13) + sqrt(208)*-1 + sqrt(468) + -1 - (1*(sqrt(832) + 2) - -1*sqrt(832)*-2)**2. -832 + 35*sqrt(13) Simplify (-1*(sqrt(55)/sqrt(45) - 3*(sqrt(11) - sqrt(44)/sqrt(4))) - (-3 + sqrt(1100) + -2)*-2)**2. -1180*sqrt(11)/3 + 39191/9 Simplify -5 + (1*sqrt(396)*2)**2 + -4 + (4*(-1 + sqrt(396)*1 + 0))**2. -192*sqrt(11) + 7927 Simplify -5 + (-4 + (sqrt(605) + sqrt(605) + 5 - sqrt(605)) - (-1 + sqrt(5) + 3 + -4))**2. 60*sqrt(5) + 504 Simplify ((-2 + 2 + (sqrt(117) - (sqrt(117) - 5*(2 + sqrt(117)) - sqrt(117)) - sqrt(117)*2*1))*-6)**2. 8640*sqrt(13) + 70992 Simplify (-3*sqrt(294)*3)/((sqrt(2) - sqrt(14)/(sqrt(252) + sqrt(7)))*-1) + 0. 147*sqrt(3)/2 Simplify 4 + ((sqrt(2736) + 5 + -1*sqrt(2736) + -1)*-6 + -1)**2*-3*6. -11246 Simplify ((sqrt(128) + (sqrt(128) + -1)*-2 - (2 + sqrt(128)*-1) - sqrt(72)*-6*6) + -3)**2. -1296*sqrt(2) + 93321 Simplify (-4*(sqrt(68) + 1)*-5 + 0)**2 + (0 + sqrt(68) + 1 + sqrt(68) + sqrt(68)*2 + 4)*-3. 1576*sqrt(17) + 27585 Simplify ((sqrt(114)*1*1)/(sqrt(24)/(sqrt(4)*-2)) - (-1*sqrt(19) + 0 + (sqrt(19) + -2)*3))**2. -48*sqrt(19) + 340 Simplify (1*sqrt(10)*2*5*-3)/(sqrt(405) + ((-2*sqrt(405) - sqrt(405)) + sqrt(405))*4 + sqrt(405) - -5*(sqrt(405) - (1*sqrt(405) + sqrt(405) + sqrt(405)))). 5*sqrt(2)/24 Simplify 5 + (sqrt(1088) + -2*sqrt(1088) + -2 + sqrt(1088))**2*3 + (2*sqrt(1088) + sqrt(1088) + -5)**2 + 5*(sqrt(1088) + 0). -200*sqrt(17) + 9834 Simplify 0 + ((-6*sqrt(45)/(sqrt(3)*-1))/(sqrt(243)*1*5))**2. 4/45 Simplify (-5 + 0 + sqrt(363) + 4 + -2)**2 + (2*(sqrt(363) + -1)**2 + (sqrt(363) - (-5 + sqrt(363) + 1))**2)*3. -198*sqrt(3) + 2604 Simplify -2*(-5*((sqrt(312)/sqrt(192))/(sqrt(2)*2*6) - (2*sqrt(208) + sqrt(13) - (sqrt(117)*3 - sqrt(117))/sqrt(9))))**2. -36473125/1152 Simplify (-4*6*-4*(3*(sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + -1))) - 5*((sqrt(153) - (sqrt(153) - (0 + sqrt(153))) - sqrt(153)) + sqrt(153)))*4)**2. -2654208*sqrt(17) + 23887872 Simplify (4*((sqrt(75) - (2*sqrt(75) + 0) - 1*(sqrt(75) + sqrt(75) + -2))*-1 + 2) + 1)**2. 120*sqrt(3) + 10801 Simplify (((1*sqrt(77)*3 - (sqrt(77) - 4*1*sqrt(77)))*-1)/((-2*(sqrt(77) - sqrt(77)*-1) + sqrt(77))/(-2*sqrt(11)*-1)))**2. 176 Simplify (4*-1*(1 + sqrt(931) + sqrt(931) + sqrt(931)))**2 - ((-4 + sqrt(76)*-2 + sqrt(76) + sqrt(76) + sqrt(76))*6)**2. 1248*sqrt(19) + 130768 Simplify (sqrt(117) + -3)**2*5*-3 - (5 + (-1 + sqrt(832))**2 + -2 + (sqrt(13) + -1)**2). -2740 + 288*sqrt(13) Simplify -1 + (5*(sqrt(12)/(sqrt(24)/sqrt(3) + sqrt(2)))/(sqrt(10)/(sqrt(5) - sqrt(20)) - sqrt(72)/sqrt(4)))**2. -23/48 Simplify 4 + 5*((4 + sqrt(1584)*2 - -5*(sqrt(1584) - (1 + sqrt(1584)))**2) + 1 + sqrt(1331)*2 + 5). 79 + 230*sqrt(11) Simplify (-4*(-5 + -3 + sqrt(98) + sqrt(98) + -1*sqrt(98) + 4)*1)**2*3. -2688*sqrt(2) + 5472 Simplify -4*((3*sqrt(143)*-5 + (sqrt(143) + -1*sqrt(143))*-5)/(1*((sqrt(11) - (-3*sqrt(99) - sqrt(11)) - sqrt(11)) + 1*(sqrt(11)*1 - sqrt(11)))))**2. -117 Simplify (3*(sqrt(99) + -1 + sqrt(99)) - -5*sqrt(99)*-2)**2 - (3 + 4*(sqrt(99) + -3 - sqrt(99))). 72*sqrt(11) + 1602 Simplify (6*(-2 + -4*(sqrt(1331) + (2 + sqrt(1331))*-2 + sqrt(1331) - sqrt(1331) - (sqrt(1331) - 6*(sqrt(1331) + sqrt(1331) + 2) - sqrt(1331)))))**2*5. 5924160*sqrt(11) + 464034960 Simplify (-3 + 5 + -2*-5*sqrt(90)/(sqrt(20)/(-1*sqrt(4))))**2. -120*sqrt(2) + 1804 Simplify (-5*-3*sqrt(95) - (-4*sqrt(95)*4 + sqrt(95)))/((sqrt(140)*3)/(sqrt(14)/sqrt(2)*2)). 10*sqrt(19) Simplify (1 + -6*(-3*(-5*sqrt(1872) + sqrt(1872) + -5)**2 + -3) + -2)*-3. -1618809 - 25920*sqrt(13) Simplify 3 + (-4 + -2*6*(sqrt(245) + sqrt(245) + sqrt(245) + sqrt(245) + -1 + sqrt(245) - sqrt(245))*-5 + 4)**2. -201600*sqrt(5) + 14115603 Simplify (2*(sqrt(143) + sqrt(143)*2*-6)*-3)/(sqrt(176)*-2*2*6). -11*sqrt(13)/16 Simplify (sqrt(11) - (2 + sqrt(539) + sqrt(11))) + sqrt(22)/sqrt(128) - 5*(-1*sqrt(891))**2*4. -17822 - 55*sqrt(11)/8 Simplify (sqrt(1053) + -1)**2 + 3*sqrt(13)*5 - sqrt(156)/sqrt(192)*4. -4*sqrt(13) + 1054 Simplify -3*4*(sqrt(190)/sqrt(5)*-2)/((sqrt(12)/sqrt(6) + sqrt(2) - sqrt(2))*3)*-1. -8*sqrt(19) Simplify -6*((2 + sqrt(432) + sqrt(432) + sqrt(432) + -1 + (sqrt(432) - (sqrt(432) - (1 + sqrt(432) + -4))))*-4 + 3)**2. -664278 + 25344*sqrt(3) Simplify ((4*(-6*sqrt(65)*2 - -3*((sqrt(65)*2 - sqrt(65)) + sqrt(65) - sqrt(65) - sqrt(65))))/((-6*-1*sqrt(35) + sqrt(35))/(5*(2*sqrt(7) - sqrt(7)))))**2. 748800/49 Simplify (((sqrt(200) + (4 + sqrt(200) + sqrt(200) + -3 - sqrt(200)) - (sqrt(200) + (sqrt(200) + (sqrt(200) + 3 - sqrt(200)))*1)) + 0)*5*5)**2. 2500 Simplify sqrt(720)*-1*-4 + 5 - (1*(sqrt(30) + sqrt(120)/sqrt(4)))/((sqrt(180)/sqrt(3))/sqrt(10) + sqrt(6)). 5 + 47*sqrt(5) Simplify -5 + 0 + (((-3*sqrt(832)*2 - sqrt(832) - sqrt(832))*5 + -1 + -5)*-6)**2. 138240*sqrt(13) + 47924491 Simplify 2*((-4*(sqrt(175) + (sqrt(175) - (sqrt(175) - (1 + sqrt(175))) - sqrt(175))))**2 - (sqrt(175) + (sqrt(175)*2)**2)*1 - 2*(1*sqrt(175) + -1))*-2. -8472 - 580*sqrt(7) Simplify (1*sqrt(77)*4*-2*-5)/(((sqrt(55) - (sqrt(440)/sqrt(32) + sqrt(55))) + sqrt(55))/(sqrt(55)/sqrt(176))). 20*sqrt(7) Simplify (((sqrt(304) + 0 - sqrt(304))*-5 + sqrt(304) + -1 + 4)**2 + -4*-2*1*sqrt(76))*-2. -626 - 80*sqrt(19) Simplify ((sqrt(143) + 4*3*sqrt(143))*-3*-4)/((5*2*sqrt(132))/((sqrt(60) + 2*sqrt(60))/sqrt(5))). 234*sqrt(13)/5 Simplify (3*-5*(-4*(5 + -2*sqrt(931)) + -3)*5)**2. -14490000*sqrt(19) + 338135625 Simplify 2*((sqrt(567) - (-1 + sqrt(567))) + -1 - (-5 + 1*sqrt(567))**2) + 1 + -4 + sqrt(567) + (-1*sqrt(567))**2 + 4. -616 + 189*sqrt(7) Simplify 4*(3*(sqrt(5616) + -6*sqrt(5616)*-1))/(((2*sqrt(162))/sqrt(9))/(sqrt(864) + sqrt(864)*-1 + sqrt(864))). 6048*sqrt(13) Simplify -4 + 6*(2 + -2*sqrt(1900) + ((sqrt(1900)*1 - sqrt(1900))*-5 + sqrt(1900) + sqrt(1900))**2)*-5 + 5. -228059 + 600*sqrt(19) Simplify -6*((sqrt(432) - (-1 + sqrt(432))) + 2)*2 - (2 + (sqrt(432) + 1)*-3 + -4). -31 + 36*sqrt(3) Simplify 3 + 1 + 6*(2*sqrt(1900) + -5) + -1 + (-3 + sqrt(1900))*-2. -21 + 100*sqrt(19) Simplify (((sqrt(605)*-1 + sqrt(605))*2)/(sqrt(495)/sqrt(5)))/(4*(sqrt(180) - (sqrt(180) - -3*sqrt(180))*3)). 0 Simplify ((6*sqrt(343)*2)/(sqrt(7) - (sqrt(1008) - -1*sqrt(1008))))/((sqrt(7) + sqrt(567)*-1 + sqrt(567) + (-2*sqrt(42))/sqrt(6))*5). 12*sqrt(7)/115 Simplify ((-6*((sqrt(121) - (sqrt(121) - 2*2*sqrt(121))) + (-5*sqrt(121)*-1 - sqrt(121))))/(3*1*sqrt(539)*5)*4)**2. 45056/1225 Simplify -1*-6*-2*(sqrt(448) + (sqrt(448) + (sqrt(448) - (-4*sqrt(448) - sqrt(448))))**2) + 1 + -5 + 0. -263428 - 96*sqrt(7) Simplify ((-1*sqrt(1080))/(sqrt(1000) + sqrt(1000)*1 - sqrt(10)) - (sqrt(3) + sqrt(108)*3 + sqrt(108) - sqrt(192)*-1))**2. 1202067/361 Simplify (-1*-3*sqrt(833))**2*5*-3 - ((sqrt(833)*-1 + sqrt(833) + 0 + -1 + (sqrt(833) - 2*sqrt(833)))**2 + -4). -113285 - 14*sqrt(17) Simplify (((sqrt(200) - (sqrt(200)*1 + 5)) + -2 + sqrt(200)*-1 - 4*(-4 + sqrt(200) + 1 + sqrt(200))) + 0)**2. -900*sqrt(2) + 16225 Simplify -5*4*(((3 + sqrt(931)*-1 + sqrt(931))*-4)**2 + -4 + ((sqrt(931) + -2*sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931))*5 + sqrt(931))**2)*-6. 13534920 Simplify (1 + 1 + (-2*sqrt(128) + -3 - 5*(sqrt(128) + 0) - -1*(2*sqrt(128) + -1 - sqrt(128))) + -1)**2. 288*sqrt(2) + 4617 Simplify ((sqrt(156)*3*-3 + (3*-1*sqrt(156) - sqrt(156)))/(-2*-1*sqrt(192)*-3))**2. 2197/576 Simplify (-5*1*(-1*sqrt(7344) - sqrt(7344)))/(-2*-6*6*sqrt(147)). 5*sqrt(17)/21 Simplify 2*-1*(sqrt(91)/(-3*sqrt(7)*1) + sqrt(104)/(sqrt(512)*-2)). 19*sqrt(13)/24 Simplify (-2*sqrt(70)*5*-1)/(sqrt(90)/(sqrt(36)/sqrt(4)) - -1*sqrt
{ "pile_set_name": "DM Mathematics" }
2, -10? 8 Which is the closest to -0.1? (a) -296/19 (b) 1 (c) -5/41 c What is the nearest to 1315 in -3, 11, -0.1, -4? 11 Which is the nearest to 1? (a) -1 (b) 683 (c) 5 (d) -1/7 (e) -2 d What is the closest to 0 in 2, -5, -116, -2/145? -2/145 Which is the nearest to -2? (a) 0.4 (b) -56/9 (c) -51/4 (d) 4 (e) 2 a What is the closest to 0.04 in 2/9, 2, -2/13, 1/7? 1/7 What is the closest to -2/3 in -5, 5, 0, 38/3? 0 Which is the nearest to -0.71? (a) -25 (b) -2/3 (c) -9 (d) -21 b Which is the closest to 3/11? (a) 3 (b) -4 (c) 1/3 c What is the closest to 0.3 in 1, -144, 344? 1 What is the closest to 0.1 in 5, 7, -18/151, -3? -18/151 Which is the nearest to 1/5? (a) 2/5 (b) 5 (c) -2739 (d) 2 a Which is the closest to -1661? (a) 1/2 (b) -1 (c) 1 b What is the closest to -7/2 in -1, -14, -4? -4 Which is the closest to -0.1? (a) -5 (b) -1195 (c) 0.9 c What is the nearest to -0.26 in -1/3, -1, -361/14? -1/3 What is the nearest to 6519 in 3, 1/4, 6? 6 Which is the nearest to 2/5? (a) -3 (b) 0.0581 (c) -2/633 b Which is the nearest to -0.3? (a) 3/4 (b) -1 (c) 4 (d) 20 (e) 8 b Which is the closest to 0.6? (a) -0.5 (b) -4 (c) 2/15 (d) -3/16 c Which is the closest to 2/7? (a) -99/5 (b) -5 (c) 2/11 (d) -58 c Which is the closest to -14? (a) -14817 (b) 4/7 (c) 5/3 (d) -0.3 d What is the closest to 60/31 in 4/5, -165, 0? 4/5 Which is the closest to 1.51? (a) 1 (b) -1/7 (c) -1/4 (d) 1/237 a What is the nearest to -56 in -16/5, 4, -2, 1? -16/5 What is the nearest to 0.02 in 3, 6/5, 11? 6/5 Which is the nearest to 1/3? (a) 2/5 (b) 5/9 (c) -2 (d) 2 (e) 6 a What is the nearest to -1 in -11, 1.18, -1/9? -1/9 Which is the nearest to 1? (a) 879 (b) 0.3 (c) 2/13 (d) 21.38 b Which is the nearest to -2/19? (a) 2/3 (b) -2 (c) -93 (d) -1 a What is the closest to -2/7 in 1, 2/7, 3/154, -0.2? -0.2 What is the nearest to -2 in 3/5, 0.5, 0.2, -175, 1/3? 0.2 What is the nearest to -387 in 1/5, 120, 4? 1/5 Which is the nearest to 2? (a) -3 (b) 3 (c) -0.0289 (d) -5 b Which is the nearest to 2/7? (a) -6 (b) -14 (c) -3 (d) 1/5 (e) -1.2 d Which is the closest to -6? (a) 2.48 (b) -21 (c) 5 (d) -2 d What is the closest to -57 in -1/3, -3/4, 5, -1.1? -1.1 Which is the closest to 3? (a) -2 (b) -2/113 (c) 3 (d) 7/4 (e) 4 c Which is the closest to 2/5? (a) -0.039 (b) -5 (c) 0 (d) -0.2 (e) -2/15 c What is the closest to -0.135 in 4, -2/15, 1, 2/7, 0.26? -2/15 What is the closest to 37706 in 0.4, 1, 4, -1/4, -2? 4 What is the closest to -2/7 in 1/9, 2/9, 29/9? 1/9 Which is the nearest to -2? (a) -1/3 (b) 4/7 (c) -7 a Which is the nearest to 0.01? (a) -0.9 (b) 4/53 (c) -0.3 b Which is the closest to -2? (a) -106 (b) -55 (c) -10 c What is the closest to -6/17 in 1, 0, 4/9, -0.028? -0.028 What is the closest to -0.2 in 2/13, -0.4, -1237, -0.2, 1/11? -0.2 What is the closest to -2 in 7, 176, 0.3, -5, -0.2? -0.2 What is the closest to 3/2 in -0.05, -3, -1/12, -26? -0.05 Which is the closest to 0? (a) -0.2 (b) -28.6 (c) -4 (d) 2 a What is the closest to 1 in -124, -1.5, 0.5, 0.3? 0.5 What is the nearest to -1/4 in -1/11, -559, 1? -1/11 What is the closest to 1/5 in 3, 719, -1/3? -1/3 What is the nearest to -66 in -5, -0.5, -3? -5 Which is the nearest to -10? (a) -11/9 (b) 1/5 (c) 117 a Which is the closest to 0.1? (a) 165/2 (b) 1/4 (c) 5 (d) -0.4 b What is the nearest to -31 in -3, -2/13, 3/4, 2? -3 What is the nearest to -5 in 0.14, -0.28, -5? -5 Which is the closest to 1829? (a) 5 (b) 1/4 (c) 1 a Which is the closest to 2/3? (a) 0.08 (b) -0.1 (c) -380 a Which is the closest to 1? (a) -45/11 (b) 1/8 (c) -3 (d) 4 (e) 0.2 e What is the nearest to 0 in -0.06, -2/3, 2/7, -6/4837? -6/4837 What is the closest to 1 in -5, -80, -2, 188, -0.4? -0.4 What is the nearest to 1 in -5, 3/4, -3, -106? 3/4 Which is the nearest to 2? (a) 0.03 (b) -2/9 (c) -9 (d) -1 (e) -0.67 a Which is the nearest to -6? (a) -27 (b) -2 (c) 18 b What is the closest to 1637 in 2/9, 0.5, 0, -5, -75? 0.5 Which is the closest to -106? (a) -0.2 (b) -4/11 (c) 0.3 (d) -2/19 b Which is the closest to 13/5? (a) 1/2 (b) 3 (c) -0.04 (d) 0 (e) 1.37 b What is the closest to 1/2 in -3/2, 4, 5.4? -3/2 Which is the closest to -2? (a) -0.2 (b) 3 (c) -2 (d) 59.34 c What is the nearest to 2 in -6, 0, 29/12? 29/12 Which is the nearest to -0.011? (a) -3/5 (b) -9 (c) 58 a What is the nearest to 18 in 4, -0.3, -8, 3, -3? 4 What is the nearest to 8 in 1/2, -0.4, 0, 0.2, -30? 1/2 What is the nearest to -1 in 0.14, 0.4, -168? 0.14 Which is the closest to 2/7? (a) 42 (b) 4 (c) -0.1 (d) -15/8 (e) 4/7 e Which is the nearest to -0.1? (a) 7 (b) 35/16 (c) 19 (d) 3/2 d What is the nearest to 25 in 0.9, -1, 0, 6/7? 0.9 What is the nearest to 4 in -6, 12, 0, 4? 4 What is the closest to -4 in 0.131, -4, 8.9? -4 What is the closest to 2 in -18, 1/5, 5/23, -0.4? 5/23 What is the closest to 649 in -5, 3, 0.6, 0.5? 3 Which is the closest to -2/5? (a) -0.05128 (b) -1/4 (c) 0.08 b What is the nearest to -40499 in 0.5, 4, -0.2? -0.2 What is the nearest to -26/5 in 3/8, 2/9, -2, 0.063? -2 What is the nearest to 2 in 0, 0.1, 767508? 0.1 What is the nearest to -0.696 in -2, 0.4, 111, 0.1? 0.1 What is the closest to 0.04 in 2/19, -0.1, 1/3, -3/4, 4? 2/19 What is the closest to -0.1 in -31, -3/8, -9, 0.4? -3/8 What is the closest to 0 in -0.35, -8/7, -5, -1, 4? -0.35 What is the closest to 0.05 in -0.1, -5, -1815/4, 5? -0.1 Which is the closest to 1? (a) -18/29 (b) -2/11 (c) 3 b What is the closest to -0.1 in -2503, 2/11, 24? 2/11 Which is the nearest to -3? (a) 74 (b) 0 (c) -0.1 (d) -3 (e) 4 d What is the nearest to -47.3 in -4, 2, 3/5, -5? -5 What is the closest to 414 in 276, 1, -2/7? 276 Which is the nearest to 0.5? (a) -36 (b) 0.5 (c) -1/2 (d) 2 (e) -3.07 b What is the nearest to -1/94 in -4, -0.2, 15/11, -3? -0.2 What is the nearest to 0 in -5, -694, 583, -1/8? -1/8 What is the closest to 2132 in 3, -0.2, -1.2? 3 Which is the closest to 33? (a) 9 (b) -145 (c) -5 a Which is the nearest to 20? (a) -4 (b) 652 (c) -0.1 c Which is the nearest to 248? (a) -11 (b) 3 (c) -4 (d) 1/14 b Which is the nearest to 0.1? (a) 3/11 (b) 1.64 (c) 5 (d) -1/2 (e) 2 a Which is the closest to -3.4? (a) -32 (b) 4 (c) 0.3 (d) -5 d What is the closest to 13 in 0.5, 2/989, 1/6? 0.5 What is the closest to 2 in -5, 3/4, -2, -31? 3/4 Which is the closest to 8? (a) 0.9 (b) 0.08 (c) 3 c Which is the nearest to 4? (a) 18/11 (b) -5 (c) 5.9 c What is the closest to -3 in -5.6, -1/4, -2, 86, 2/11? -2 What is the closest to -1/3 in 2, 1.53, -99? 1.53 Which is the nearest to -1? (a) 1/2 (b) 1/6 (c) -0.05176 (d) 14 c Which is the closest to 0.1? (a) 1327 (b) -1 (c) -4 (d) 5 (e) 1 e Which is the nearest to 10? (a) -4 (b) -2/15 (c) -1/11 c What is the nearest to -268 in -73, -1, 3? -73 What is the nearest to 2 in -122, -21.3, 0.1, -2? 0.1 What is the nearest to 0.4 in 1, -5, -45/11? 1 What is the closest to -2/1697 in -0.5, -2.1, 14? -0.5 Which is the closest to -0.114? (a) 4 (b) 0.5 (c) -1 (d) 3/62 (e) 1/4 d What is the closest to 0 in 2, 0.9, -5, 1811? 0.9 Which is the nearest to -3.2? (a) 1 (b) 0.047 (c) 3 (d) 1/4 b What is the nearest to -0.1 in -33, -4/5, 2/5, -4? 2/5 Which is the nearest to -25? (a) -1 (b) 24 (c) -0.56 (d) 0.4 (e) 3/7 a Which is the nearest to 0.3? (a) -90.1 (b) -0.2 (c) 0.1 c What is the nearest to 3 in 1/3, -1/5, 0.2, -0.134? 1/3 Which is the nearest to -0.03? (a) 0 (b) 722 (c) 15 a What is the closest to 0.3 in 13/201, -4, 1/5, 0? 1/5 What is the closest to 1 in -10, -7/3, -1/2, -2, 0? 0 What is the nearest to -8 in -28, -2, 62? -2 What is the closest to -0.7 in -0.4, 0.71, 18/11? -0.4 Which is the nearest to -2/6949? (a) -0.04 (b) 0.5 (c) 0.2 (d) -3 a Which is the nearest to -1? (a) 0.3 (b) 2143 (c) 2/21 (d) -8 c Which is the closest to 0.14? (a) 2/3 (b) -0.8 (c) -1 (d) 5 (e) -2 a What is the closest to 1 in -14.961, 2/17, 2/9? 2/9 What is the nearest to 1 in -64, 6, -5? 6 Which is the closest to -0.093? (a) 112 (b) 0.3 (c) -1/2 b Which is the closest to 0? (a) 0 (b) 2/3 (c) 2 (d) 5 a What is the closest to 170/109 in -0.4, -0.11, 5? -0.
{ "pile_set_name": "DM Mathematics" }
(4*sqrt(686)*-1 - sqrt(686)))/((-2*sqrt(6048))/(sqrt(18)/(sqrt(12)/sqrt(4)))). -7*sqrt(2)/4 Simplify (((3 + sqrt(2057))*-3)**2*6 + (-6*((sqrt(2057) - (sqrt(2057) + 3)) + -3))**2)*3. 10692*sqrt(17) + 338580 Simplify 2 + (-2*sqrt(14)/sqrt(2) + -2 + (sqrt(7) - (-2 + sqrt(7) + -1)) + 1 + -2)**2. 30 Simplify (-3*sqrt(88)/(-1*-2*sqrt(4)))/(-1*(sqrt(50) + ((sqrt(50) + (sqrt(50) + sqrt(50)*-1 - sqrt(50)))*-6 - sqrt(50)) + sqrt(50))). 3*sqrt(11)/10 Simplify (-4 + (sqrt(320) + -3 - sqrt(320))**2*-5 + (-1 + sqrt(320))*3 + 1)*-6. -144*sqrt(5) + 306 Simplify (3*(6*6*(2 + sqrt(448)) + 3*(sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + -1)))*-5) + 3)**2. 76032*sqrt(7) + 214848 Simplify sqrt(117)/(sqrt(324)*3 - sqrt(9)) + 1 - ((2*sqrt(52)*6)/(-4*(sqrt(4)*2 + sqrt(4))))**2. -12 + sqrt(13)/17 Simplify (((sqrt(432) - ((sqrt(432)*2 - sqrt(432)) + -4) - sqrt(432)) + sqrt(432) + 0 + 4 - (0 + sqrt(432) + -3 - (sqrt(432) - (0 + sqrt(432)*2))))*5)**2*-4. -184900 + 52800*sqrt(3) Simplify (sqrt(12)*2*-1)/(sqrt(20)/(sqrt(20)/sqrt(4))) + ((-1*sqrt(96))/sqrt(4))/sqrt(8) + ((1*sqrt(135))/sqrt(5))/sqrt(9). -2*sqrt(3) Simplify -2*sqrt(720)*1 + 5 + 2 + ((sqrt(140) + sqrt(35))*-2)/(sqrt(28)/(sqrt(20)/sqrt(5))). -30*sqrt(5) + 7 Simplify (-1*sqrt(114)*6 + sqrt(114) + sqrt(114) + sqrt(114) + 1*(sqrt(114)*3 - sqrt(114)) + sqrt(114))/(5*(5*2*sqrt(24) + sqrt(24))). 0 Simplify (-6*sqrt(2205)*2 + (sqrt(2205) - 2*sqrt(2205)*6))/(-4*(sqrt(441) - (-4*(sqrt(441) - (sqrt(441) + 1*sqrt(441))) - sqrt(441)))). -23*sqrt(5)/8 Simplify 5*(sqrt(76)*-1*-2 - (-3 + sqrt(76) + -5)**2)*-2 + 1. -360*sqrt(19) + 1401 Simplify ((sqrt(243)*1 + sqrt(27))/(sqrt(900)*2) + 2 + (sqrt(30)/sqrt(2)*-2)/sqrt(5))**2. -36*sqrt(3)/5 + 343/25 Simplify ((sqrt(117) - 2*sqrt(117)*5) + sqrt(117) + sqrt(117)*-1*3)/(sqrt(441) + 2*sqrt(441) - (sqrt(9) + (sqrt(72)*1)/sqrt(8))) + -4. -4 - 11*sqrt(13)/19 Simplify (-3 + -4 + sqrt(832)*1*-5 + (-4*(0 + sqrt(832)) - sqrt(832)) + -6*(2 + sqrt(832)*2 - (-6*((sqrt(832)*-2 - sqrt(832)) + sqrt(832)) - sqrt(832))))**2. -13376*sqrt(13) + 1611113 Simplify (sqrt(104)*2*-6 - 2*sqrt(104)*5)/(5*(sqrt(72) + -2*sqrt(72)))*-5. -22*sqrt(13)/3 Simplify (4 + sqrt(20) + 1*sqrt(720) + -3 - (2*(sqrt(100) + sqrt(100) + sqrt(100)*-2 + sqrt(100)))/((sqrt(120)/sqrt(4))/sqrt(6)))**2. 20*sqrt(5) + 501 Simplify (4*sqrt(120)/sqrt(5) + sqrt(96) + (-3*sqrt(96) - sqrt(96)))/((sqrt(2400)*-1)/((sqrt(3) + sqrt(12)/sqrt(4))*3)). 6*sqrt(3)/5 Simplify (4 + (sqrt(300)/sqrt(96) - (sqrt(1250) - sqrt(1250)*1 - sqrt(50)))/(sqrt(30)/sqrt(3)*-2 + (sqrt(160)*-2 - sqrt(160))) + -5)*-5. 25*sqrt(5)/56 + 5 Simplify (sqrt(396)/(1*sqrt(9)))/(6*sqrt(16)) + (sqrt(77)/(sqrt(252) + sqrt(7)) - (sqrt(176) + sqrt(176) + -3)**2). -713 + 4051*sqrt(11)/84 Simplify (((sqrt(165)*-1*-4)/(sqrt(12)/sqrt(4)*-4))/(2*(sqrt(40)/sqrt(32) + -2*(sqrt(5) - -1*sqrt(5)))))**2. 11/49 Simplify 5 + -5 + (-4 + (sqrt(192)*-1 + 5)*6*-2)**2 + 3. -12288*sqrt(3) + 31747 Simplify 4 + sqrt(1539) + (sqrt(2736) + -2 + sqrt(2736))**2 + -1 + (sqrt(19) - sqrt(304)*3)**2 + 2 + 2. -87*sqrt(19) + 13254 Simplify (-5*(sqrt(2304) + -4*sqrt(2304)*-2 + sqrt(2304)))/(5*(sqrt(80) - (sqrt(80) + (-1*sqrt(80) + sqrt(80))*1 + sqrt(80)))/sqrt(10)). 120*sqrt(2) Simplify (-1*(sqrt(243) + 5 + -2*sqrt(243)) + 0 + sqrt(75) + sqrt(75) + 1 + (0 + sqrt(75) - sqrt(75)) + sqrt(3) + sqrt(9)/sqrt(3) + 1 + 4)**2. 42*sqrt(3) + 1324 Simplify -4 + (1*(-5 + ((sqrt(567) + sqrt(63))/sqrt(9))**2) - ((sqrt(441)*-1)/sqrt(7) + -2)**2). -12*sqrt(7) + 36 Simplify 1*(-5 + (sqrt(972) + -3 + sqrt(972) + 3 + (2*sqrt(972))**2 + 5)*-5). -19470 - 180*sqrt(3) Simplify (4 + (2 + sqrt(153) - sqrt(153)) + 2 + -1 + sqrt(153) + -2 + ((sqrt(153) - (sqrt(153) + -1 + sqrt(153)))*5 - (-2 + (sqrt(153)*-5 - sqrt(153)))))**2. 144*sqrt(17) + 756 Simplify (1*sqrt(264)/(sqrt(11) - sqrt(11)*5*-5))/((-4*sqrt(24) - sqrt(24))/sqrt(2) + (sqrt(72) - (-1*sqrt(72) + sqrt(72)))/sqrt(6)). -sqrt(2)/104 Simplify (2 + 2 + (sqrt(931) - (1 + (-2*sqrt(931) - sqrt(931))) - (5 + (0 + sqrt(931) - sqrt(931))))*-1 + -5)**2. -280*sqrt(19) + 14921 Simplify (-5 + ((3 + -1*sqrt(605))**2 - (sqrt(605) - (0 + sqrt(605)))*-6))*5 + -5. -330*sqrt(5) + 3040 Simplify (((sqrt(85)*2 - sqrt(85))*-6 + -5*sqrt(85)*-2)*-1)/(((2*sqrt(40))/sqrt(2))/((sqrt(12)*-2)/sqrt(3))) + 5. 5 + 4*sqrt(17) Simplify -5*((6*(((-1*sqrt(220) - sqrt(220)) + sqrt(220))/sqrt(4))/sqrt(11))**2 - -6*sqrt(55)/(sqrt(44)/(sqrt(4) + sqrt(16)))). -900 - 90*sqrt(5) Simplify -5*(3*(4 + -5*((2*sqrt(1872))**2 + 3)) + 3). 561750 Simplify (-1 + 2*sqrt(612) + -1*(sqrt(612) - sqrt(612)*-2) + (5 + 2 + (-1 + sqrt(17) + sqrt(17) - sqrt(17)))*1)**2. -50*sqrt(17) + 450 Simplify (-3 + -5 + -1 + -2 + (sqrt(1573) - 2*sqrt(1573)) + 2*(sqrt(1573) + (-1*sqrt(1573) + sqrt(1573) - sqrt(1573))))**2. 242*sqrt(13) + 1694 Simplify (-2*(-5 + -1*sqrt(243) + (sqrt(132)/sqrt(11))/sqrt(4)*-1))**2. 400*sqrt(3) + 1300 Simplify ((sqrt(960) - 1*sqrt(960) - sqrt(960))/(-2*sqrt(96) + sqrt(6)))/(-4*sqrt(16)/sqrt(8) - (sqrt(16)/sqrt(2) + sqrt(2) - sqrt(2))). -2*sqrt(5)/21 Simplify -1*((-2*(2 + sqrt(28)/sqrt(4) - sqrt(7)) + -3*sqrt(28)/sqrt(4) + 2 + 3)**2 + -1). -63 + 6*sqrt(7) Simplify (2*-5*(sqrt(99) + sqrt(99)*-1 + sqrt(99))*1)/(((sqrt(567) - sqrt(63) - sqrt(63))*-3)/(sqrt(28)/sqrt(4)*2)). 20*sqrt(11)/3 Simplify (((sqrt(350) + sqrt(350)*1)*6)/sqrt(7)*-4)/(2*3*(-2*sqrt(70))/sqrt(7)). 4*sqrt(5) Simplify (-5 + sqrt(77)/sqrt(7) + 2 + -2 + -5*(4 + sqrt(1100))*-5)**2. 47690*sqrt(11) + 702036 Simplify ((sqrt(70)/(sqrt(2) - sqrt(18)*-6)*-2)/(sqrt(605)*-2*-1*-6))**2. 7/1572516 Simplify 1*(-4*-2*sqrt(4896) - 2*(sqrt(4896) + -1*sqrt(4896) - sqrt(4896)))/((sqrt(36)/sqrt(2))/sqrt(9) - sqrt(128)*-3). 24*sqrt(17)/5 Simplify ((-5 + sqrt(72) + 0 + -5 - (sqrt(72) + -1 + sqrt(72) + -2)*4)*6)**2 + 0. -6048*sqrt(2) + 127152 Simplify -4 + ((sqrt(147) - ((sqrt(147) - (sqrt(147) - (sqrt(147) + (sqrt(147) + 0 - sqrt(147))))) + -2))**2*-5 - (-1*sqrt(147) + -1 + 1 + 1*sqrt(147))) + -1. -25 Simplify (-4 + (sqrt(1300) - (2 + 1 + sqrt(1300) + sqrt(1300))) + -4 - (3*sqrt(1300) + 5 + 2)*3)**2. 6400*sqrt(13) + 131024 Simplify (-3*((sqrt(200) - sqrt(200)*-1)*-2 + 3*(sqrt(200) - (sqrt(200) + 1)) - ((-2*-3*sqrt(200) - sqrt(200)) + -3)))**2. 145800 Simplify 2*(5 + 2*((sqrt(425) + -2 - sqrt(425))*1 + 5 + (sqrt(425) - (-5 + sqrt(425)*1) - sqrt(425)*1*-5))**2). 1600*sqrt(17) + 42766 Simplify ((sqrt(144) - 5*(sqrt(144) - sqrt(144)*-2) - sqrt(144)*-2*1)/(2*sqrt(3888)*-3))**2. 4/27 Simplify 1*(-5 + (-6*sqrt(133)*4)/((3*sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(7)))*3. -15 - 72*sqrt(19)/37 Simplify -5 + 6*((sqrt(7) + (sqrt(63)/(sqrt(45)/sqrt(5) + sqrt(9)))**2 - sqrt(140)/sqrt(5)) + -3 + -4 + 1 + sqrt(7)). -61/2 Simplify -3*(4*sqrt(171)*1*3)**2 + (-1 + 4*((1*sqrt(171) - sqrt(171)) + 0))**2. -73871 Simplify ((sqrt(24) - sqrt(216))/sqrt(2) + (sqrt(12) - -5*sqrt(24)/sqrt(2)))/((sqrt(4800) - (sqrt(4800)*1 + sqrt(4800)))/(4*sqrt(12)*2)). -16*sqrt(3)/5 Simplify (sqrt(950)/sqrt(2)*-4 + 0 + -2 + (sqrt(1539) - (sqrt(1539) - sqrt(1539)*1)) + 2 + sqrt(1539) + -1)**2. 4*sqrt(19) + 77 Simplify -4 + 2*(3 + (2 + 3*sqrt(162) + sqrt(162) + sqrt(162) - (sqrt(162) - (-5 + (sqrt(162) + 3 - sqrt(162)))))**2). 5186 Simplify (1*(sqrt(22) - sqrt(44)/sqrt(2) - sqrt(22)) + 6*sqrt(132)/sqrt(6))/(-5*-3*(sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-2)) + sqrt(72))). sqrt(11)/18 Simplify (5 + sqrt(6912) + 1 + 4 - (3 + 4*1*sqrt(3) - (1 + sqrt(192))*5))**2. 2016*sqrt(3) + 21312 Simplify ((1*(5 + 1*sqrt(1575)) - (sqrt(315) + (2*sqrt(315) + sqrt(315))*-5)/(sqrt(180)*1 + sqrt(180)))*-3)**2. 1665*sqrt(7) + 87147/4 Simplify ((sqrt(60) + sqrt(120)/(sqrt(4)/sqrt(2)) - sqrt(60)) + sqrt(60))/(2*sqrt(300)) - ((sqrt(5) - sqrt(320)*4)**2 + 2)*3. -14421 + sqrt(5)/5 Simplify -5*3*(-6*(5 + (sqrt(275) + 1 + 2)**2*-5) + 3). -127395 - 13500*sqrt(11) Simplify (-3 + -5*(sqrt(76)/(sqrt(28)/sqrt(7)) + -3)*2*-3)*5. -465 + 150*sqrt(19) Simplify (sqrt(136)*2*-5 + 1*sqrt(136)*-5)/((sqrt(32)/sqrt(4) + sqrt(8))*6 + (-1*sqrt(72))/sqrt(9)). -15*sqrt(17)/11 Simplify (((sqrt(126) - sqrt(126)*1*-1) + sqrt(126))/sqrt(6))/(sqrt(84)/((sqrt(96) - sqrt(96)*4 - sqrt(96))/sqrt(8))). -12*sqrt(3) Simplify (3*sqrt(5)*-1 - sqrt(1620)) + (sqrt(2430)*-1)/(sqrt(12)/sqrt(8)). -39*sqrt(5) Simplify (-6*(1 + 2*(0 + (sqrt(245)*-1 - sqrt(245)) +
{ "pile_set_name": "DM Mathematics" }
38, m = n - 5*s. What is the remainder when n is divided by 3? 0 Let s = -1 - -4. Suppose 0 = -j + 3*h + 1, 10 = s*j + h - 3. Suppose j*l - 48 = l. Calculate the remainder when 46 is divided by l. 14 Suppose 7*o + 4*j = 2*o - 68, -4*j + 40 = -4*o. Calculate the remainder when 34 is divided by (-14 - -16)/((-2)/o). 10 Let i be (-6)/4*12/1. Let r be ((-1326)/65)/(3/(-10)). Let z = r + i. What is the remainder when z is divided by 13? 11 Let d(y) = -y**2 - 6*y + 75. Calculate the remainder when 135 is divided by d(-12). 0 Let n = 124 + -41. Let k = 53 + -36. What is the remainder when n is divided by k? 15 Let l = 10 + -1. What is the remainder when l is divided by 40/60 + (-3)/((-18)/8)? 1 Let b(d) = -d**3 - 10*d**2 + 74*d - 8. Calculate the remainder when 55 is divided by b(-15). 6 Let o(v) = v**3 - 3*v**2 + v + 2. Let j be o(2). Suppose -q - q + 134 = j. Calculate the remainder when q is divided by -69*(2/7 - (-39)/(-63)). 21 Let i(y) = y**3 + 39*y**2 - 40*y + 128. Calculate the remainder when i(-40) is divided by 26. 24 Let x be (6/(-10) - 291/15) + 3. Let j(a) = a**3 + 18*a**2 + 14*a - 34. What is the remainder when 30 is divided by j(x)? 13 Suppose 2*k + k - 140 = -5*v, -4*k + 11 = v. Let q = 126 + -35. Calculate the remainder when q is divided by v. 29 Suppose m = -3*m + 172. Let h = m + -39. Calculate the remainder when (-2)/(4*h/(-216)) is divided by 15. 12 Suppose 0 = -3*k + 6*k - 30. Let z(i) = -i**2 - 9*i - 14. Let v be z(-7). Suppose -5*l + 148 - 3 = v. Calculate the remainder when l is divided by k. 9 Suppose -15 = 3*r, r + 6 - 39 = -2*f. Calculate the remainder when 223 is divided by f. 14 Suppose 0 = -8*w + 68 + 52. What is the remainder when w is divided by 9? 6 Let y(g) be the first derivative of 1/3*g**3 - 2*g + 3/2*g**2 + 5. Calculate the remainder when 22 is divided by y(-5). 6 Let h(d) = -d**2 + 6*d - 2. Let u(r) = -r**3 - 8*r**2 - 8*r + 3. Suppose -39 = 5*g - 4. What is the remainder when u(g) is divided by h(4)? 4 Suppose 0 = -3*m + 6, -2*p = -m + 2 - 6. Let f(h) = -h + 193. Let y(q) = 39. Let j(i) = -2*f(i) + 11*y(i). What is the remainder when j(-17) is divided by p? 0 Suppose 3*u + 333 = 4*a, -3*u + 286 = 3*a + 2*u. Suppose -122*d = -125*d + a. What is the remainder when d is divided by 10? 9 Let o(f) = 72*f + 442. Suppose -h + 18 + 11 = 0. What is the remainder when h is divided by o(-6)? 9 Suppose 36 = 3*g - 6. What is the remainder when (-24)/(-20)*(-650)/(-30) is divided by g? 12 Let i(a) = -a + 8. Let z be (2/4 + (-4)/(-8))*-2. What is the remainder when 49 is divided by i(z)? 9 Suppose -2*p = -10, -5*p = -5*z + 3*z + 7. Suppose 4*s + 3*g - 252 = 0, -4*g + 94 = 4*s - 162. Calculate the remainder when s is divided by z. 12 Suppose 6 = w - 5*p - 11, 2*w + 3*p = 21. Let u be ((-4)/(-6))/(6/(-27)). What is the remainder when w is divided by (2 + 3)*(u - -4)? 2 Suppose 56 = 4*j - 5*x + 3*x, -5*j - 5*x = -70. Calculate the remainder when 122 is divided by j. 10 Let g = -11 + 11. Suppose 4*z = -g*z. Suppose z*m - s + 18 = m, -m + 9 = -2*s. What is the remainder when 29 is divided by m? 14 Let z(c) = -7*c**3 - 2*c - 3. Let x be z(-2). Let u = 72 - x. What is the remainder when u is divided by 8? 7 Suppose -5*s + d + 61 = 0, -s + 2*s - 9 = -3*d. What is the remainder when 20 is divided by s? 8 Let w = 20 + 3. Suppose 144 = 20*z - 19*z. Suppose 132 = 2*g + 4*b + 12, 2*g - 2*b = z. Calculate the remainder when g is divided by w. 22 Let i(q) = q - 3. Let r be i(-27). Let c = 113 + r. What is the remainder when c is divided by 17? 15 Let t(d) = 5*d - 36. Let p be t(8). Suppose 5*l + 133 = p*m + 650, 0 = 4*l + 5*m - 389. Calculate the remainder when l is divided by 51. 50 Let o(a) = -8*a + 1. Let b(p) = 0*p - p + 1 + 0*p + 0. Let d(z) = -4*b(z) + o(z). Calculate the remainder when 49 is divided by d(-5). 15 Let a(g) = 45*g**2 + g. Suppose 29*r - 23*r - 138 = 0. Calculate the remainder when a(2) is divided by r. 21 Let z(u) = -3*u**3 + u + 1. Let c be z(-1). Let b(r) = 2*r + 10. What is the remainder when 63 is divided by b(c)? 15 Let v(j) = j**3 - 14*j**2 + 15*j - 13. Let d be 3 + (-6)/3 - -1. Suppose -5*w = 29 - 9, 34 = 2*l - d*w. What is the remainder when 36 is divided by v(l)? 10 Suppose -m + 247*g - 246*g + 1705 = 0, -4*m + 2*g + 6810 = 0. What is the remainder when m is divided by 63? 62 Let h = 24 + -13. Suppose h*x - 150 = 6*x - a, -3*x - a + 90 = 0. Calculate the remainder when 55 is divided by x. 25 Suppose 6*p = p - 100. Let b be (-4)/(-3)*(-510)/p. Let q = b + -25. What is the remainder when 25 is divided by q? 7 Let x = 37 - 43. Let c(t) = -t**3 - 6*t**2 - 3*t + 1. What is the remainder when 37 is divided by c(x)? 18 Suppose -c + 31 = 18. Suppose -2*u + c = -53. Let f(t) = t + 12. Calculate the remainder when u is divided by f(0). 9 Suppose 4*h + 4*d = d + 912, -3*d - 456 = -2*h. What is the remainder when h is divided by 56? 4 Suppose -60*v = -439 - 2621. What is the remainder when 60 is divided by v? 9 Let c(o) = 3*o**2 - 23*o + 36. Let y(n) = -7*n**2 + 47*n - 73. Let p(w) = -5*c(w) - 2*y(w). What is the remainder when 169 is divided by p(17)? 33 Suppose -62 + 4 = -2*g. Let w = -19 + g. Calculate the remainder when 76/(-2)*1/(-2) is divided by w. 9 Calculate the remainder when 84 is divided by (75/375)/((-2)/(-130)). 6 Let s(g) = -g**3 + 3*g**2 + 173*g + 20. What is the remainder when s(-12) is divided by 28? 20 Suppose 5*c = 0, 20*x = 19*x + 3*c + 42. Calculate the remainder when 1509 is divided by x. 39 Let w = 21 - 9. Suppose -4*q + w = 5*f, 5*f = -q - 2*q + 9. Suppose b - 5*j - 48 = f, -2*b = 4*j + j - 21. Calculate the remainder when b is divided by 8. 7 Let l = 357 + -295. What is the remainder when l is divided by 36? 26 Suppose 0 = -4*h, -n + 3*n + 2*h - 10 = 0. Suppose -2*a + 129 = -5*q - 7, -n*q + 38 = a. What is the remainder when a is divided by 31? 27 Let t(f) = f**3 + 10*f**2 - 46*f - 53. Calculate the remainder when 188 is divided by t(-13). 36 Let v = -14 - -23. Suppose 2*d = 5*m - 8 + 26, 2*m + v = d. Calculate the remainder when 33 is divided by d. 6 What is the remainder when (-1782)/(-11) + 12/1 is divided by 13? 5 Let v = -867 + -336. Let r(u) = 13*u**3 - u - 2. Let j be r(-1). Calculate the remainder when 4/j - v/21 is divided by 12. 9 Let h(g) = -8*g**2. Let r be h(-2). What is the remainder when (-18)/4*r/3 is divided by 25? 23 Suppose 104*d - 103*d = 24. Calculate the remainder when 92 is divided by d. 20 Let j be (1 - 63/(-6))/((-4)/(-8)). Suppose -k + j = 8. What is the remainder when k is divided by 10? 5 Let w be (-2)/(2/(-10) + 0). Suppose 673 = w*y - 397. What is the remainder when y is divided by 18? 17 Let o(p) = p**3 + p**2 - 3*p + 5. Let y = -21 - -40. What is the remainder when o(4) is divided by y? 16 Suppose -5*y = -34 - 71. Suppose 2*v - 2*l + 1 - y = 0, 0 = -v + 4*l + 4. What is the remainder when 82 is divided by v? 10 Let v be (-18)/(-6) + 0/(-2). Suppose 4*w - 20 = -4*j, -w - 5*j = -v*j - 3. What is the remainder when (-73)/(-4) - (-1)/(-4) is divided by w? 4 Let v(a) = 2*a**3 - 6*a**2 + 21*a - 33. Calculate the remainder when 2 + (147 - (0 + 0)) is divided by v(3). 29 Let s = -36 + 31. Calculate the remainder when 46 is divided by (17/2)/(s*(-1)/10). 12 Suppose 2*c + 2*c = -4, -3*m = -3*c - 21. Calculate the remainder when 77 is divided by m. 5 Calculate the remainder when 0 + (-2106)/(-15) + 44/(-110) is divided by (-8)/10*(-12 + -18). 20 Suppose 4*s - 106 = -p, -3*s - p - p = -82. Let k = -170 + 350. Calculate the remainder when k is divided by s. 24 Calculate the remainder when 232 is divided by (-1 - 7) + -15 + 101. 76 Let j = 238 - 149. Suppose -j = -c + 3*i, 6*c = 7*c + i - 77. What is the remainder when c is divided by 14? 10 Let g(o) = -10*o**3 - 4*o**2 + 12*o + 29. Calculate the remainder when g(-4) is divided by 11. 7 Let m(u) = 2*u**3 + 16*u**2 - 2*u + 13. What is the remainder when 374 is divided by m(-8)? 26 Suppose 9 = 3*d - 0*d. Let u = -133 + 149. Calculate the remainder when u is divided by d. 1 What is the remainder when (-16)/(-28)*(31/2 - -2) is divided by 5? 0 Suppose 0 = 5*q - 1101 - 204. What is the remainder when q is divided by 12? 9 Let a(b) = 21*b + 5. Let o be a(3). Let j = -53 + o. What is the remainder when 44 is divided by j? 14 Suppos
{ "pile_set_name": "DM Mathematics" }
= -81*y - 342 for y. -1 Solve -250*h = -199*h + 612 for h. -12 Solve -42 = -23*u - 19 for u. 1 Solve 355*y + 3835 = -412*y for y. -5 Solve 460*r + 6603 = -297 for r. -15 Solve 0 = -12*q + 12*q + 16*q - 96 for q. 6 Solve 742*i = -474*i + 310*i - 21744 for i. -24 Solve 883*k - 5597 = 175*k - 14093 for k. -12 Solve 38*p - 523 + 29 = 0 for p. 13 Solve 22*z - 399 - 319 = -322 for z. 18 Solve -69*n - 2858 + 3065 = 0 for n. 3 Solve 11*h + 20*h - 61 - 156 = 0 for h. 7 Solve 116*h = 167*h + 344 + 523 for h. -17 Solve -104 + 50 - 9 = 7*n for n. -9 Solve -7862 = 5*k - 7877 for k. 3 Solve -229*o = 322*o - 435*o + 3712 for o. -32 Solve 8*c + 1371 = 1515 for c. 18 Solve 23197*v - 60 = 23227*v for v. -2 Solve -1154*t = -734*t + 12180 for t. -29 Solve 50 = -45*u - 268 - 357 for u. -15 Solve 14834*i - 11 = 14835*i for i. -11 Solve -38*k = 17*k + 43*k - 882 for k. 9 Solve -217*t = 105*t - 62*t - 2340 for t. 9 Solve 8 = 6*f + 72 + 26 for f. -15 Solve -136*t = -62*t - 296 for t. 4 Solve 177*o + 102 = 3465 for o. 19 Solve -290*f = -2765 + 8275 for f. -19 Solve 2118 - 1897 = 17*m for m. 13 Solve 210 = -h - 6*h + 22*h for h. 14 Solve -27*u - 66 = -768 for u. 26 Solve -36*b = 55*b - 9*b - 902 for b. 11 Solve -162*b - 444 = -125*b for b. -12 Solve 37*z + 189 = -46*z + 74*z for z. -21 Solve -1183*t - 144 = -1170*t - 53 for t. -7 Solve 25*b + 497 = -398 + 570 for b. -13 Solve -59*d = -8*d + 408 for d. -8 Solve -12 + 5 = -13*v + 6 for v. 1 Solve -164*u - 1055 - 93 = 0 for u. -7 Solve 603 = -89*g + 1048 for g. 5 Solve -7*w + 38 = -26*w for w. -2 Solve -32*z = -2*z - 9*z + 15*z for z. 0 Solve 0 = -27*x + 175 + 62 + 6 for x. 9 Solve 3 + 1 = -m + 2 for m. -2 Solve -97*q - 600 = 119*q + 84*q for q. -2 Solve 34*n - 36 = 40*n for n. -6 Solve 0 = a - 41603 + 41588 for a. 15 Solve -256*s = -191*s + 455 for s. -7 Solve -19*f + 5*f - 330 = 16*f for f. -11 Solve -7*u - 424 = 11*u - 532 for u. 6 Solve -r + 15687 = -15*r + 15771 for r. 6 Solve 228361*s + 52 = 228357*s for s. -13 Solve -403*w - 1265 = 3628 + 1958 for w. -17 Solve 0 = -6*g + 3886 - 3808 for g. 13 Solve -908 = -232*j + 4538 + 1514 for j. 30 Solve -28*l - 9824 - 9903 = -19895 for l. 6 Solve 0 = 40506*b - 40463*b + 903 for b. -21 Solve -11*u - 33 = -39 - 27 for u. 3 Solve -11*p + 75 - 163 = 0 for p. -8 Solve 7*f + 9587 = 9566 for f. -3 Solve -4768*k + 4809*k = -656 for k. -16 Solve -40*y - 55*y - 55 - 135 = 0 for y. -2 Solve 171*f = 38956 - 34168 for f. 28 Solve 3835 = 399*y + 643 for y. 8 Solve -476*n + 10198 = 6929 - 7679 for n. 23 Solve -25*b - 35*b + 360 = 0 for b. 6 Solve 12*n - 431 = -167 for n. 22 Solve -341*r - 7327 = 90*r for r. -17 Solve -2*l = -16*l - 20*l - 4*l for l. 0 Solve -854*q = -813*q - 134 - 30 for q. 4 Solve 3554 - 1999 = -186*n - 3281 for n. -26 Solve -31*z - 38*z + 16*z = -318 for z. 6 Solve 3*p - 120*p - 1053 = 0 for p. -9 Solve 66*u - 990 = -26*u + 122*u for u. -33 Solve 0 = -36*d + 56*d + 100 for d. -5 Solve 15 = 272*u - 296*u - 393 for u. -17 Solve 1520 = -327*b + 1401 + 5351 for b. 16 Solve 4041 = -388*p + 549 for p. -9 Solve 59*v = -2*v + 32*v for v. 0 Solve -240 = 190227*v - 190257*v for v. 8 Solve 22 = 66*a - 88*a for a. -1 Solve 114*q + 44666 = 41246 for q. -30 Solve 181*q - 4914 = 532*q for q. -14 Solve -5*q - 640 = 22*q + 133*q for q. -4 Solve -83*t = -239*t - 156 for t. -1 Solve -1971*r + 1756*r + 6450 = 0 for r. 30 Solve -4043 = 164*s - 2239 for s. -11 Solve 71*d + 459 = 44*d for d. -17 Solve 275 = 80*a + 995 for a. -9 Solve -88 = 309*w - 265*w for w. -2 Solve -5201*k = -5231*k - 300 for k. -10 Solve -114*t = -4726 + 964 for t. 33 Solve 0 = -24*y + 459 - 267 for y. 8 Solve 31*j + 163 + 60 = -118 for j. -11 Solve -7*m + 38 + 4 - 7 = 0 for m. 5 Solve 325*t - 55*t - 572 = 127*t for t. 4 Solve 270 = 7*r + 221 for r. 7 Solve -16*v + 4*v - 36 = 0 for v. -3 Solve -169*b + 274*b = 216*b - 888 for b. 8 Solve 2923 = -51*u + 4045 for u. 22 Solve -969*y + 324 = -233*y - 21756 for y. 30 Solve -3564*t = -3535*t + 116 for t. -4 Solve 338 = -53*k - 55 - 932 for k. -25 Solve 18*t - 166 = 39 - 79 for t. 7 Solve 460*k - 531*k + 1491 = 0 for k. 21 Solve -206*q - 317*q + 4488 = -149*q for q. 12 Solve 4*f + 17*f = -56*f + 1540 for f. 20 Solve -23*d - d = 11*d + 175 for d. -5 Solve -665*f = -351*f - 340*f + 442 for f. 17 Solve 1477*c - 1504*c = -324 for c. 12 Solve -10 + 215 - 23 = -14*a for a. -13 Solve -1128*q = -1148*q - 380 for q. -19 Solve 832 - 1844 = 23*v - 874 for v. -6 Solve -1114 = 579*j - 1644 - 2365 for j. 5 Solve -54 = -1217*g + 1224*g - 152 for g. 14 Solve -37*g = -15*g + 414 - 128 for g. -13 Solve -73*g = 264 - 118 for g. -2 Solve 2*x + 21 - 16 = -3 for x. -4 Solve -548 - 27 = 47*n - 22*n for n. -23 Solve -2*b + 5*b = -2*b - 15 for b. -3 Solve -72*v = 8468 - 6668 for v. -25 Solve 14 = 37*h - 97 for h. 3 Solve -582 = -15*y + 52*y + 47 for y. -17 Solve -55*c = -70*c + 60 for c. 4 Solve -16*k + 91*k = -975 + 150 for k. -11 Solve 0 = 474*g - 441*g - 429 for g. 13 Solve 0 = 632*n + 421*n + 10530 for n. -10 Solve 30*r + 201*r = 8*r - 2676 for r. -12 Solve 981*r + 276 = 471*r + 487*r for r. -12 Solve 858 = 88*y - 217*y - 303 for y. -9 Solve -101*s + 3128 = 35*s for s. 23 Solve -716 = -32*t - 492 for t. 7 Solve 27 = -35*i + 62 + 35 for i. 2 Solve 5692 - 1320 + 2045 = 279*f for f. 23 Solve 138*s - 549 = 18 - 15 for s. 4 Solve -1423 = 14*w + 112*w + 89 for w. -12 Solve w - 80*w = 270 + 125 for w. -5 Solve 10343 = -11*z + 10596 for z. 23 Solve -155305*l + 504 = -155281*l for l. 21 Solve -23*x + 581 - 604 = 0 for x. -1 Solve 1915*y - 54 = 1918*y for y. -18 Solve 62*j - 152*j = 184*j - 2740 for j. 10 Solve -48*t - 18*t + 178 = 23*t for t. 2 Solve -41*y - 13*y + 378 = 0 for y. 7 Solve -227*j - 77*j - 4302 - 4210 = 0 for j. -28 Solve 169*b + 27*b + 3190 = -94*b for b. -11 Solve 0 = 213*i - 1374 + 1161 for i. 1 Solve 468*q - 974 + 5395 = -6811 for q. -24 Solve 187 + 133 = 64*p for p. 5 Solve -3402 = 6*y - 3348 for y. -9 Solve -4*k = 4*k - 61 - 27 for k. 11 Solve 2360*u - 1639 = 2211*u for u. 11 Solve 8078*m = 8157*m - 711 for m. 9 Solve -564*h = -156*h - 2448 for h. 6 Solve 0 = -69*u - 2026 + 301 for u. -25 Solve 690*m = 1349 + 1373 + 38 for m. 4 Solve -106*y = 214*y - 22 + 5782 for y. -18 Solve 204*a = 189*a + 45 for a. 3 Solve 60*p - 961 = -1381 for p. -7 Solve -312*w - 1155 = 2391 + 2382 for w. -19 Solve -58*u + 136*u = 0 for u. 0 Solve 504 + 686 = 1075*u + 115 for u. 1 Solve -44*i = -119*i - 1050 for i. -14 Solve -7520 = 685*i + 4125 for i. -17 Solve 7*s + 914 = 928 for s. 2 Solve -127*t - 404 = -1039 for t. 5 Solve -5*l = 13*l + 16 + 182 for l. -11 Solve 123 + 12 = 12*h - 57 for h. 16 Solve 0 = 9456*h - 9421*h + 840 for h. -24 Solve -22 = 21*m + m for m. -1 Solve 436 = -120*o + 11*o for o. -4 Solve -258 = -24*z + 198 for z. 19 Solve 0 = 393*x - 4303 + 621 - 248 for x. 10 Solve 87*w - 1089 = -276*w for w. 3 Solve 13*t - 116*t + 31 = -587 for t. 6 Solve 109*t + 936 + 866 - 58 = 0 for t. -16 Solve 0 = -4*d + 11642 - 11590 for d. 13 Solve 0 = 53*d + 47 + 483 for d. -10 Solve 75*m + 54*m - 129 = 0 for m. 1 Solve -222*r = -238*r + 64 for r. 4 Solve -3*r + 44 = -21*r - 10 for r. -3 Solve 1399 = -412*s - 661 for s. -5 Solve 0 = -27*z + 1073 - 1289 for z. -8 Solve 0 = -203*p - 339 + 2978 for p. 13 Solve 0 = -567*w + 8227 - 856 for w. 13 Solve 17*i = -4*i + 101 + 25 for i. 6 Solve 259*a - 484*a = -246*a - 462 for a. -22 Solve 16*i + 1482 = 1690 for i. 13 Solve -61*j - 36*j = -24*j - 438 for j. 6 Solve 66*i = -801 - 1839 for i. -40 Solve -42*f = -127*f + 85 for f. 1 Solve -7*y + 72 = -61 for y. 19 Solve -271*q - 112 = -263*q for q. -14 Solve 75*o - 221 = -1438 - 508 for o. -23 Solve -30*q - 25*q + 54 = 164 for q. -2 Solve 656*u = 970*u for u. 0 Solve 66*w + 18*w - 729 = 3*w for w. 9 Solve 21*h + 2*h - 88 = 15*h for h. 11 Solve 0 = -288*y - 66*y + 3488 - 1010 for y. 7 Solve -56 = -11*o - 5 + 114 for o. 15 Solve 11*o - 8708 = -8378 for o. 30 Solve -239*y + 45*y = 2339 + 571 for y. -15 Solve -68*w - 1050 = -131*w - 287*w for w. 3 Solve 51 = 96*m + 819 for m. -8 Solve -3*t - 238 + 220 = 0 for t. -6 Solve 20*v - 24 = 17*v for v. 8 Solve 78*d + 1717 = 235 for d. -19 Solve -193*b + 5496 = -11*b + 47*b for b. 24 Solve 0 = -10*c - 1135 + 1255 for c. 12 Solve -104*t + 52993 = 49665 for t. 32 Solve 0 = -3757*c + 3739*c + 1
{ "pile_set_name": "DM Mathematics" }
*m - 12 = -0*m, t*m + 4 = 0. Suppose 0 = -5*q + 5, -c*a + 0*q + 54 = 4*q. What is a rounded to the nearest ten? 30 Let s = 0.5 - 0.35. Let o = s + -0.6. What is o rounded to one decimal place? -0.5 Let q = -0.0778 + -34.1022. Let o = q + 0.18. Let b = -34.00000061 - o. Round b to seven decimal places. -0.0000006 Let m be 18/(-81) - (-29698)/(-9). Let h be (-663 + 3)*m/9. Round h to the nearest ten thousand. 240000 Let k = 10.00000076 + -10. What is k rounded to 7 decimal places? 0.0000008 Let n(j) = j - 3. Let o be n(6). Let r be (o - (-66)/(-8))*36. What is r rounded to the nearest ten? -190 Suppose -2*l + 2*i = 5*i + 29988, -15004 = l - i. What is l rounded to the nearest ten thousand? -20000 Let n = 0.09 + -4.49. Round n to zero decimal places. -4 Let v = -29 + 37.6. What is v rounded to zero decimal places? 9 Let u = -0.06 - -0.0599928. What is u rounded to six decimal places? -0.000007 Suppose 2*j + 21192 = 63192. What is j rounded to the nearest 1000? 21000 Let h = 0.05700256 + -0.057. Round h to 7 dps. 0.0000026 Let p(m) = -m**3 + 3*m**2 + 5*m - 2. Let n be p(4). Let o be 71/2 - n/4. Suppose -3*u + o - 2 = 0. What is u rounded to the nearest ten? 10 Let n = 78.8 + -63. Let i = n - 15.80000067. What is i rounded to 7 dps? -0.0000007 Suppose 0 = -11*v + 6*v - 200. Let k be -3 - 7/(14/v). What is k rounded to the nearest ten? 20 Let h(x) = -25156*x - 3. Let g be h(-3). Suppose g + 64535 = -2*p. What is p rounded to the nearest ten thousand? -70000 Let w = -13215807 - -13215735.00033. Let n = 23 + -95. Let u = w - n. What is u rounded to four dps? 0.0003 Let s = -165 + 258. Let y = s + -272. Round y to the nearest 10. -180 Let t = -146.4 - -163. Let s = -16.5999909 + t. What is s rounded to 6 decimal places? 0.000009 Let f = 61529174 - 100229174. Round f to the nearest one million. -39000000 Let c(g) = 80*g + 2 + 2 - 4 - 2. Let z be c(-1). What is z rounded to the nearest 10? -80 Let v = 23.000186 - 23. Round v to 5 dps. 0.00019 Let l = 765.1 + -803. Round l to 0 decimal places. -38 Let v = 186932832.812 - 183202590.6. Let f = -3730224.21199957 + v. Let k = -18 + f. Round k to 7 decimal places. 0.0000004 Let z = -1743.3103 + 1840.32. Let d = 97 - z. Round d to three decimal places. -0.01 Let l = -804137 + 532137. Round l to the nearest one hundred thousand. -300000 Let m = -133.806 - -134. Let t = -0.2 - 0. Let y = t + m. Round y to two decimal places. -0.01 Let i = 3.8 + -3.80000085. Round i to seven dps. -0.0000009 Let m = 4944389 + -4944390.99999968. Let r = -2 - m. Round r to 7 decimal places. -0.0000003 Let w = 294657 + 878942. Let g(l) = -12752*l**3 + 7*l**2 - 2*l + 8. Let o be g(7). Let r = w + o. What is r rounded to the nearest one million? -3000000 Suppose h - 2*j - 7 = j, -5*h + 5*j = -45. Suppose -5*w - h = 0, 3*a + 0*w + 4*w + 108008 = 0. What is a rounded to the nearest 10000? -40000 Let m = 654 - 643.16. Let w = m - 0.64. Round w to zero decimal places. 10 Let m = 168 + -253. Let x = m + 84.99999839. Round x to seven decimal places. -0.0000016 Let i be (-8)/(1*-2) + 1. Let j = i - -1. Suppose j*a - f - 58001 = 4*a, 0 = 2*a - 2*f - 58002. Round a to the nearest 10000. 30000 Let g = 0.038 - -0.05. Let s = -0.155 + g. Let w = -0.06731 - s. Round w to four dps. -0.0003 Let o = -4.57 - -4.5700247. Round o to five dps. 0.00002 Let f = -1 - -21. Let c be (-6)/15 + (-3671472)/f. Let w = -46426 + c. Round w to the nearest one hundred thousand. -200000 Let w = -0.26 + 0.260038. What is w rounded to 5 decimal places? 0.00004 Let a(n) = n**2 + 6*n. Let w be a(-5). Let q be (-2)/10 + (-18500001)/w. Round q to the nearest 1000000. 4000000 Let l = -171.3 - -160.3006. Let a = l + 11. Round a to three dps. 0.001 Let i = -100 + 171. Let o = -71.74 + i. What is o rounded to 1 dp? -0.7 Let y = 24.412 - 24. Let n = y - -0.018. Round n to one decimal place. 0.4 Let j = 2.7 + -13.7. Let x = j + 11.016. Round x to 2 decimal places. 0.02 Suppose -3*a = -5*u - 84299990, -a = 3*u - 8*u - 28099990. What is a rounded to the nearest one million? 28000000 Let u = -1.9 + 2.13. Let g = -0.23018 + u. Round g to 4 decimal places. -0.0002 Let i = -713 + 712.99999711. What is i rounded to seven decimal places? -0.0000029 Let i = -0.91 + 0.71. Round i to one decimal place. -0.2 Let y be 40*13*(-10)/(-4). What is y rounded to the nearest one hundred? 1300 Let x = -469.3 - -594. Let h = x - 130. Round h to the nearest integer. -5 Let u be 2 - (-3 - (1 + -9)). Let c be 16*750*(-478 - u). Round c to the nearest 1000000. -6000000 Let r be (-4)/(-12) - (-672958)/(-3). Let q = 175681 - r. Suppose g = -0*g + q. What is g rounded to the nearest one million? 0 Let p = -1390.01 + 1507.109. Let y = 117 - p. Round y to two dps. -0.1 Suppose 2*r - 22 = x + 30, -5*x + 5*r - 275 = 0. Let s = x - -18. What is s rounded to the nearest 100? 0 Let b = -112 - -108.77. Let p = 1.01 + b. Let k = -2.22113 - p. What is k rounded to 4 decimal places? -0.0011 Suppose -b + 4410 = b. Suppose -3*l + 60405 = b. What is l rounded to the nearest 1000? 19000 Let q = 375.6 - 8285.6. Let t = q - -7909.5921. Let y = 0.41 + t. Round y to three decimal places. 0.002 Let s = -56.9 - -56.651. What is s rounded to 2 dps? -0.25 Let s(f) = -5*f - 6*f + 5 + 1. Let u be s(-6). Let z = -12 - u. What is z rounded to the nearest ten? -80 Let j = -1.06 + 1. Let v = j - -0.0548. Round v to three decimal places. -0.005 Let p = 0.89 - 5.79. What is p rounded to zero decimal places? -5 Let r = -16 + -32. Let m = r - -48.0000145. What is m rounded to six dps? 0.000015 Let p = -0.13 + 0.03. Round p to two decimal places. -0.1 Let a(g) = g**2 - 7*g - 2. Let d be a(10). Let z be (-4)/18 + d/(-36). Let m be z*(-3)/(6/(-820)). Round m to the nearest 100. -400 Let p = 61.000049 - 61. What is p rounded to 5 dps? 0.00005 Suppose 0 = 2*a + 11*a + 4810. What is a rounded to the nearest 1000? 0 Let g = -15 + 15.000001. What is g rounded to 7 decimal places? 0.000001 Let d be -1 + 1 + 7 + -2. Let c = d - 0. Suppose -c*k = -3*k + 1640000. Round k to the nearest one hundred thousand. -800000 Suppose 0 = -4*h - 42 + 6. Let m = h - -9. Suppose 0 = -4*t - m*t - 680. Round t to the nearest 100. -200 Let f = 0.04 + 0. Let b = f + 0.03. What is b rounded to 1 dp? 0.1 Let d = -3 - -3.8. Round d to one decimal place. 0.8 Let i = 0.078 - -9.722. What is i rounded to 0 dps? 10 Let b(i) = 4*i**2 + i + 1. Let m be b(-3). Suppose -14 = -5*p - m, 3*k - 5*p = -1559980. What is k rounded to the nearest one hundred thousand? -500000 Let m(u) = 9*u**2 - 2*u - 2. Let c be m(-1). Suppose -4*i = -c - 3, 4*l + i = 267. Round l to the nearest ten. 70 Let q = 2.76 + -2.7489. What is q rounded to 3 decimal places? 0.011 Let v = -0.0444 + 3.5544. Let z = v + -0.31. What is z rounded to zero decimal places? 3 Let w = 20 - 19.912. Let q = -0.08837 + w. What is q rounded to four decimal places? -0.0004 Let r(y) = y + 3. Let c be r(-5). Let a be (2120/(-12))/(c/(-6)). Round a to the nearest one hundred. -500 Let j = 1268.58 - 1273.58026. Let k = j + 5. Round k to 4 decimal places. -0.0003 Let m = -124.2 - -115. What is m rounded to zero decimal places? -9 Suppose 2*j + 10 = -3*j, 5*f + j - 1723 = 0. What is f rounded to the nearest 10? 350 Let x = 2 + 0. Suppose x*u - 9734 = 7066. What is u rounded to the nearest 1000? 8000 Let z = 463 - 465.69. What is z rounded to 1 dp? -2.7 Let g = -59.95 + 62. Let i = 0.01 - g. Let k = i + -7.26. Round k to the nearest integer. -9 Let y = -101 - -101.000292. Round y to four dps. 0.0003 Let l(f) = f**2 + 8*f - 7. Let w be l(-9). Suppose -780009 = -o + 3*d, -5*o + 2340012 = -w*o - 4*d. What is o rounded to the nearest one hundred thousand? 800000 Let k(i) = i**3 + 4*i**2 - 7*i. Let f(j) = -4*j**2 + 8*j - 1. Let p(w) = 2*f(w) + 3*k(w). Let h be p(6). What is h rounded to the nearest one hundred? 800 Let o(u) = 3*u - 7. Let k be o(5). Let l be 622/((k/90)/4). Suppose -5*h + 5*y + l = 0, -3*y - 11190 = -2*h + 2*y. Round h to the nearest one thousand. 6000 Suppose 2*m + 28 = 4*m. Let w be m/(-4)*(-8 - 2). What is w rounded to the nearest ten? 40 Let k(j) = -70*j**3 - j - 1. Suppose 3*g - 5 = -4*w, 0*w - 2*w = g - 3. Let m be k(g). What is m rounded to the nearest ten? 70 Let q be (1*-1)/((-10)/40). Suppose 0 = -5*d + 3*m -
{ "pile_set_name": "DM Mathematics" }
864, 846, 848, 876, 936, 1034, 1176? 1368 What is next in -1866, -6472, -14150, -24900, -38722, -55616? -75582 What comes next: 183595, 183608, 183619, 183628, 183635, 183640? 183643 What is the next term in 3486, 6924, 10362, 13800, 17238? 20676 What is next in -137, -396, -797, -1340, -2025, -2852? -3821 What comes next: -1430, -2311, -3182, -4037, -4870, -5675? -6446 What comes next: 84, 473, 1150, 2115, 3368, 4909? 6738 What is the next term in -25599, -25689, -25839, -26049, -26319, -26649, -27039? -27489 What is the next term in -6841, -6903, -7085, -7447, -8049, -8951, -10213, -11895? -14057 What comes next: 1723, 3419, 5057, 6607, 8039, 9323, 10429, 11327? 11987 What comes next: -7143, -7139, -7135, -7131, -7127? -7123 What is the next term in 1179692, 2359379, 3539066, 4718753, 5898440? 7078127 What is the next term in 12303, 12296, 12289, 12282, 12275? 12268 What is the next term in 63, 108, 51, -216, -801, -1812, -3357, -5544? -8481 What is next in 2640, 5232, 7810, 10368, 12900, 15400, 17862, 20280? 22648 What is the next term in -89, -270, -543, -908, -1365, -1914? -2555 What is the next term in 2084, 2127, 2202, 2309? 2448 What is the next term in 11177, 11154, 11131, 11108? 11085 What is the next term in 8643, 8649, 8655, 8661, 8667? 8673 What is next in -2237, -8952, -20141, -35804, -55941, -80552? -109637 What comes next: -298, -249, -200, -151, -102, -53? -4 What is next in -78, -224, -656, -1518, -2954, -5108, -8124? -12146 What is the next term in -3711, -3694, -3665, -3618, -3547, -3446, -3309, -3130? -2903 What is the next term in 4215, 4242, 4289, 4356, 4443, 4550? 4677 What comes next: -898, -1251, -1592, -1915, -2214? -2483 What is next in -63015, -63020, -63029, -63042, -63059? -63080 What is the next term in 1133, 1101, 1033, 917, 741? 493 What is the next term in -270, -520, -770, -1020, -1270, -1520? -1770 What is the next term in 123051, 123051, 123053, 123057, 123063, 123071, 123081? 123093 What is the next term in 6404683, 6404684, 6404685, 6404686? 6404687 What comes next: -83005, -332020, -747043, -1328074, -2075113? -2988160 What is next in 8, 77, 206, 395, 644? 953 What is next in 70772, 141522, 212272, 283022? 353772 What is the next term in 392, 960, 1528, 2096? 2664 What is the next term in -9022, -18048, -27074, -36100, -45126? -54152 What comes next: 827, 815, 797, 773, 743, 707, 665? 617 What comes next: 142828, 142817, 142808, 142801, 142796, 142793? 142792 What comes next: -9025, -18064, -27115, -36178? -45253 What is next in -16, -148, -544, -1342, -2680, -4696, -7528, -11314? -16192 What is the next term in 2306, 7777, 16896, 29663, 46078, 66141, 89852? 117211 What is the next term in -106207, -212406, -318605, -424804, -531003? -637202 What is next in 5094, 5164, 5234, 5304, 5374? 5444 What comes next: -631, -599, -545, -469? -371 What comes next: -29083, -29242, -29401? -29560 What comes next: 1460, 2906, 4352, 5798, 7244? 8690 What is next in 57, -334, -725? -1116 What is next in 1511, 6027, 13549, 24077, 37611, 54151, 73697? 96249 What is the next term in -275375, -550754, -826145, -1101554, -1376987? -1652450 What comes next: -410, -1615, -3616, -6413, -10006? -14395 What is the next term in -85, -331, -741, -1315? -2053 What is the next term in 1401, 2778, 4151, 5520, 6885, 8246, 9603? 10956 What comes next: -2085, -2081, -2077, -2079, -2093, -2125, -2181? -2267 What is the next term in 873, 867, 849, 813, 753? 663 What is the next term in -14, 37, 172, 427, 838, 1441? 2272 What is the next term in 921, 1855, 2805, 3777, 4777, 5811? 6885 What comes next: -408, -1048, -1920, -3018, -4336, -5868? -7608 What is next in 670, -106, -884, -1664? -2446 What is next in -297301, -297304, -297307, -297310? -297313 What is next in 872, 3421, 7670, 13619? 21268 What is the next term in -358, -433, -512, -589, -658, -713? -748 What is the next term in -2859, -2879, -2901, -2925, -2951, -2979, -3009? -3041 What is next in 255, 265, 287, 315, 343? 365 What comes next: 517, 1608, 3427, 5974, 9249? 13252 What is next in -261, -1120, -2561, -4590, -7213, -10436? -14265 What is the next term in 811, 1406, 2001, 2596, 3191? 3786 What comes next: 900310, 1800619, 2700928, 3601237, 4501546, 5401855? 6302164 What comes next: 10313, 10282, 10251? 10220 What is the next term in -47, -129, -215, -305, -399? -497 What is next in -39, -109, -205, -327? -475 What comes next: 185, 1186, 3905, 9200, 17929? 30950 What is the next term in -900, -1578, -2256? -2934 What is the next term in -37823, -38215, -38869, -39785? -40963 What comes next: 106834, 106833, 106832? 106831 What is next in 61481, 61484, 61489, 61496, 61505? 61516 What is the next term in -3894, -7835, -11776, -15717? -19658 What comes next: -189, -1102, -3577, -8394, -16333, -28174, -44697, -66682? -94909 What is the next term in -32975, -32922, -32857, -32774, -32667, -32530, -32357, -32142? -31879 What is next in -1134, -1073, -926, -651, -206, 451, 1362? 2569 What comes next: -54422, -108848, -163272, -217694, -272114, -326532? -380948 What is the next term in -440, -428, -394, -326, -212, -40, 202, 526? 944 What is next in -4132, -8156, -12180, -16204, -20228, -24252? -28276 What is the next term in -78397, -78385, -78347, -78271, -78145, -77957? -77695 What comes next: 2078, 4023, 5970, 7919, 9870? 11823 What is the next term in -2690, -5270, -7850, -10430, -13010? -15590 What comes next: -144839, -144844, -144849, -144854? -144859 What is next in 21600, 43238, 64876? 86514 What is the next term in -19049, -38102, -57155, -76208? -95261 What comes next: 930703, 930709, 930729, 930769, 930835, 930933, 931069? 931249 What is next in 1481, 2175, 2869? 3563 What is the next term in -150, -1089, -3650, -8643, -16878, -29165? -46314 What is the next term in 7469, 7564, 7659, 7754, 7849? 7944 What is the next term in -320, -258, -160, -32, 120, 290, 472, 660? 848 What is next in -44851, -44854, -44857, -44860, -44863, -44866? -44869 What is the next term in -1686, -1558, -1346, -1050? -670 What comes next: 826, 1611, 2396? 3181 What comes next: 1022534, 2045069, 3067604, 4090139, 5112674? 6135209 What comes next: 292124, 292118, 292102, 292070, 292016, 291934, 291818, 291662? 291460 What comes next: -150, 440, 1446, 2886, 4778, 7140, 9990, 13346? 17226 What is next in -27, -199, -371, -543? -715 What comes next: -43196, -86394, -129592, -172790, -215988, -259186? -302384 What comes next: -277, -291, -325, -385, -477, -607? -781 What is next in -222, 35, 440, 999, 1718, 2603, 3660? 4895 What is next in -69, -212, -345, -468, -581? -684 What is next in -398345, -398343, -398341? -398339 What is the next term in -512, -484, -566, -812, -1276, -2012, -3074, -4516? -6392 What is next in 690, 1304, 1870, 2388, 2858? 3280 What comes next: 265, 1155, 2669, 4807, 7569, 10955? 14965 What is the next term in -1598, -1592, -1582, -1568, -1550, -1528, -1502? -1472 What is next in -203, -96, 9, 112, 213? 312 What comes next: -92838, -92848, -92862, -92880, -92902? -92928 What is the next term in 431265, 431267, 431269? 431271 What is next in 1025, 1020, 1023, 1034? 1053 What is the next term in -228, -746, -1250, -1734, -2192, -2618? -3006 What is next in 97, 993, 3487, 8383, 16485, 28597, 45523, 68067? 97033 What is the next term in 28403, 113609, 255617, 454427, 710039, 1022453? 1391669 What comes next: 463, 1017, 1571, 2125, 2679, 3233? 3787 What is the next term in -4350, -17219, -38658, -68661, -107222, -154335, -209994, -274193? -346926 What comes next: -1283, -1251, -1175, -1037, -819, -503, -71, 495? 1213 What is next in -125887, -125889, -125891, -125893, -125895, -125897? -125899 What is the next term in -42239, -42238, -42237, -42236, -42235? -42234 What comes next: -15064, -15177, -15290, -15403? -15516 What is the next term in 95071, 95072, 95073? 95074 What is next in -3665, -3629, -3531, -3341, -3029, -2565? -1919 What is the next term in -870, -904, -938? -972 What is the next term in 463, 953, 1449, 1951, 2459, 2973, 3493? 4019 What comes next: -320, -371, -542, -905, -1532, -2495? -3866 What is next in 8, 88, 256, 536, 952? 1528 What is next in -288, -528, -744, -930, -1080, -1188? -1248 What is the next term in -2, -10, -16, -14, 2? 38 What comes ne
{ "pile_set_name": "DM Mathematics" }
ple of 175 and 22? 3850 Find the common denominator of 113/4440 and -71/5565. 1647240 Calculate the smallest common multiple of 119436 and 59718. 119436 Find the common denominator of 95/283538 and -127/18. 2551842 Find the common denominator of -32/93 and 10/32271. 32271 Calculate the lowest common multiple of 33 and 125176. 4130808 What is the smallest common multiple of 380 and 225? 17100 What is the lowest common multiple of 1105 and 590? 130390 Calculate the smallest common multiple of 650 and 28600. 28600 What is the least common multiple of 60176 and 82742? 661936 What is the least common multiple of 4 and 725844? 725844 Calculate the least common multiple of 43700 and 3036. 1442100 Calculate the common denominator of -38/575 and -107/1250. 28750 Calculate the smallest common multiple of 1260 and 860. 54180 Calculate the lowest common multiple of 160 and 861376. 4306880 Calculate the least common multiple of 96 and 99280. 595680 Calculate the lowest common multiple of 12155 and 585. 109395 What is the smallest common multiple of 7670 and 28028? 8268260 Calculate the smallest common multiple of 573 and 7862. 4504926 Calculate the smallest common multiple of 839122 and 14. 5873854 Calculate the common denominator of -24/143 and -5/562. 80366 Find the common denominator of -54/22165 and 43/8463. 465465 What is the common denominator of -19/42255 and 47/6? 84510 Calculate the least common multiple of 3330 and 420. 46620 Find the common denominator of -71/6380 and 29/440. 12760 Calculate the common denominator of -27/4 and -41/12. 12 What is the common denominator of 95/22176 and -13/98? 155232 Calculate the least common multiple of 288 and 334104. 4009248 What is the smallest common multiple of 45188 and 69836? 768196 Find the common denominator of -1/1334 and -145/78. 52026 Calculate the least common multiple of 23732 and 32. 189856 What is the lowest common multiple of 2461 and 27071? 27071 Calculate the lowest common multiple of 114 and 3378. 64182 What is the least common multiple of 2164 and 541? 2164 Calculate the smallest common multiple of 534 and 84. 7476 Calculate the lowest common multiple of 4880 and 296460. 1185840 What is the least common multiple of 702368 and 9340? 3511840 Calculate the smallest common multiple of 16864 and 24800. 421600 Calculate the lowest common multiple of 2050818 and 363. 22558998 What is the smallest common multiple of 15 and 16895? 50685 What is the lowest common multiple of 125136 and 22752? 250272 Calculate the common denominator of -107/84 and -50/9933. 39732 Calculate the common denominator of -83/406 and -93/6062. 175798 Find the common denominator of 193/8316 and 71/12628. 340956 What is the common denominator of 209/26880 and 211/2100? 134400 Calculate the smallest common multiple of 3726 and 7236. 499284 What is the common denominator of 9/38512 and -23/72? 346608 Calculate the lowest common multiple of 2532 and 7512. 1585032 Calculate the smallest common multiple of 129675 and 2717. 1426425 What is the least common multiple of 35 and 52675? 52675 What is the common denominator of 56/339849 and -29/189? 2378943 Calculate the common denominator of 7/150 and 29/131400. 131400 Find the common denominator of -9/440 and -203/13530. 54120 What is the smallest common multiple of 242 and 34? 4114 What is the smallest common multiple of 160 and 9408? 47040 What is the smallest common multiple of 799166 and 14? 5594162 Calculate the smallest common multiple of 436677 and 22983. 436677 What is the smallest common multiple of 139551 and 3258? 837306 Find the common denominator of 89/5313 and 1/6923. 228459 What is the common denominator of 53/606880 and -93/121376? 606880 What is the smallest common multiple of 204 and 570? 19380 Calculate the common denominator of 149/52896 and -169/46284. 370272 Find the common denominator of 139/285768 and -41/98. 285768 Calculate the smallest common multiple of 772710 and 860. 1545420 What is the common denominator of -61/40984 and 15/10246? 40984 Calculate the least common multiple of 357955 and 390. 2147730 Calculate the least common multiple of 4 and 1011144. 1011144 What is the smallest common multiple of 586105 and 107315? 7619365 Find the common denominator of -4/43915 and 7/50. 439150 Calculate the common denominator of -65/387038 and 35/5172. 2322228 What is the least common multiple of 29763 and 115745? 1041705 Calculate the common denominator of 99/35440 and 145/10632. 106320 What is the common denominator of -17/3960 and -17/30? 3960 Find the common denominator of 139/1176 and -59/63. 3528 What is the lowest common multiple of 44 and 6024? 66264 Calculate the common denominator of 21/1192 and 67/112. 16688 Calculate the lowest common multiple of 12 and 396536. 1189608 Find the common denominator of -5/369 and -67/21566. 194094 Find the common denominator of 67/3570 and 109/271558. 4073370 Find the common denominator of -73/1514 and 109/150. 113550 What is the lowest common multiple of 27354 and 50? 683850 What is the common denominator of 43/109834 and 65/22? 1208174 What is the least common multiple of 84 and 8610? 17220 What is the common denominator of 127/1255212 and 31/68? 1255212 Find the common denominator of -87/23840 and -67/160. 23840 What is the common denominator of 51/1729 and 3/65975? 1253525 What is the least common multiple of 24340 and 69? 1679460 Calculate the common denominator of -37/5213 and 93/41704. 41704 Find the common denominator of 10/27 and -82/2525715. 2525715 Calculate the common denominator of -93/1544 and 14/11387. 91096 Calculate the common denominator of -59/27 and 67/41142. 370278 What is the smallest common multiple of 4470 and 36? 26820 Calculate the least common multiple of 3926 and 21593. 43186 Find the common denominator of 61/19952 and -42/215. 99760 What is the smallest common multiple of 65975 and 10556? 263900 Calculate the smallest common multiple of 349 and 508. 177292 Calculate the common denominator of 167/30 and -143/456. 2280 What is the common denominator of 29/120 and -191/40170? 160680 What is the smallest common multiple of 38151 and 135? 190755 What is the common denominator of 83/1720 and 119/224030? 896120 What is the smallest common multiple of 1325584 and 48? 3976752 What is the smallest common multiple of 795 and 1185? 62805 Find the common denominator of 145/192 and 59/22792. 547008 Calculate the smallest common multiple of 65 and 26. 130 Calculate the common denominator of -145/9288 and 47/1935. 46440 Find the common denominator of -93/10708 and -8/24093. 96372 What is the common denominator of 93/38012 and 7/1548? 342108 What is the lowest common multiple of 10093 and 23? 232139 Find the common denominator of 47/24 and -20/31707. 253656 What is the common denominator of 10/92697 and -38/1070229? 11772519 Calculate the common denominator of -111/29288 and 81/140. 146440 What is the smallest common multiple of 663876 and 486? 663876 What is the common denominator of 43/11570 and 53/1690? 150410 Calculate the common denominator of 127/4920 and -77/25380. 2081160 Calculate the lowest common multiple of 1320 and 1560. 17160 Calculate the common denominator of 14/9 and 1/2125. 19125 What is the smallest common multiple of 4 and 41934? 83868 What is the smallest common multiple of 140 and 59980? 419860 What is the least common multiple of 74 and 105376? 105376 Find the common denominator of 53/158499 and -8/129681. 1426491 Calculate the lowest common multiple of 8 and 46648. 46648 What is the common denominator of -47/924555 and 65/184911? 924555 Calculate the common denominator of -6/1167161 and -21/2495. 5835805 Calculate the smallest common multiple of 7722 and 39468. 355212 What is the common denominator of 65/24 and 37/2040660? 4081320 Calculate the smallest common multiple of 376 and 36566. 146264 Calculate the common denominator of -121/40 and -73/9940. 19880 What is the lowest common multiple of 600 and 2600? 7800 Calculate the common denominator of 73/882 and 89/216. 10584 Find the common denominator of 80/40527 and 38/869. 445797 Calculate the lowest common multiple of 7378 and 5270. 36890 Calculate the common denominator of -77/85221 and -71/30. 852210 Calculate the least common multipl
{ "pile_set_name": "DM Mathematics" }
he terms in -2 + 0 - 2910*h + 2. -2910*h Collect the terms in -206*u**2 - 202*u**2 - 210*u**2 + 694*u**2. 76*u**2 Collect the terms in -20*j - 3*j**3 - 3*j**3 - 7 - 29*j. -6*j**3 - 49*j - 7 Collect the terms in -636*k**3 - 488*k**3 + 1139*k**3. 15*k**3 Collect the terms in -4528826*j**2 + 4528826*j**2 + 22*j**3. 22*j**3 Collect the terms in 1 - 3128978*b + 3128943*b - 1. -35*b Collect the terms in -27*i**2 + 143 - 2*i**2 - 42. -29*i**2 + 101 Collect the terms in -189*b - 202*b - 203*b + 609*b. 15*b Collect the terms in -4655*z**3 + 2337*z**3 - 3*z + 3*z + 2319*z**3. z**3 Collect the terms in 4*z - 19*z - 10*z - 2*z + 36*z. 9*z Collect the terms in 1640*w - 1640*w - 350*w**3. -350*w**3 Collect the terms in -150866*j - 46 + 150843*j + 46. -23*j Collect the terms in -7*m**2 + 257*m**3 - 1 - 3 - 256*m**3 + 7*m**2. m**3 - 4 Collect the terms in -2*h + 45170 - 135501 + 45164 - h + 45167. -3*h Collect the terms in 257*c - 764*c + 244*c - 2*c**3 + 7*c**3 + 263*c. 5*c**3 Collect the terms in -144*x - 149*x - 34*x**2 + 442*x - 149*x. -34*x**2 Collect the terms in -202*z + 116*z + 162*z. 76*z Collect the terms in -251 + 3*c + 463 - 214. 3*c - 2 Collect the terms in -u + u - 153*u**3 - 403*u**3 - 1006*u**3. -1562*u**3 Collect the terms in 13132901 + 32*v - 13132901. 32*v Collect the terms in 8 - 4*b**2 + 305*b - 305*b - 10*b**2. -14*b**2 + 8 Collect the terms in 529*q - 81*q + 479*q. 927*q Collect the terms in 2257*f**3 - 4018*f**3 - 12324*f**3. -14085*f**3 Collect the terms in -29 + 122 + 64 - 3*a**2. -3*a**2 + 157 Collect the terms in 22*i**2 + 28*i**2 + 21*i**2 - 106*i**2 + 11*i**2. -24*i**2 Collect the terms in -2 + 8667*w - 10617*w + 2. -1950*w Collect the terms in 14*z**3 + 193*z - 69*z - 78*z. 14*z**3 + 46*z Collect the terms in 57 + 48 + b**3 - 105. b**3 Collect the terms in -2*n + 275*n**2 - 600*n**2 + 279*n**2. -46*n**2 - 2*n Collect the terms in 77753*r + 77761*r + 77758*r + 77758*r - 388784*r + 77755*r. r Collect the terms in -1007*w**3 - 967*w**3 + 2008*w**3. 34*w**3 Collect the terms in -7*v**3 + 24*v**3 + 23*v**3 - 3*v**3 + 9*v**3. 46*v**3 Collect the terms in 6*d - 2 - 6*d + 61*d. 61*d - 2 Collect the terms in 0 + 1 + 7 - 8 + 11*l**3. 11*l**3 Collect the terms in 1456*u - 828*u - 630*u. -2*u Collect the terms in -190*b**2 - 6567*b**2 - 3296*b**2 - 786*b**2. -10839*b**2 Collect the terms in 156*i**3 + 15*i**3 + 87*i**3 - 815*i**3 - 642*i**3. -1199*i**3 Collect the terms in 531*a**2 + 4*a - 4*a - 374*a**2. 157*a**2 Collect the terms in 12*y**2 - 13*y - 23*y**2 + 5*y**2 + 4*y**2 + 0*y. -2*y**2 - 13*y Collect the terms in -31269*c - 5081*c - 13770*c. -50120*c Collect the terms in 31*h - 4 - 58*h + 30*h + 9 - 7. 3*h - 2 Collect the terms in 59146 + b**3 - 59146. b**3 Collect the terms in -25*k - 8 - k + 25*k - k. -2*k - 8 Collect the terms in -10*p**2 - 513*p + 13*p**3 + 513*p + 10*p**2. 13*p**3 Collect the terms in -1042*p**2 - 1033*p**2 + 2072*p**2. -3*p**2 Collect the terms in 846*y + 1973*y + 707*y. 3526*y Collect the terms in 4321*w + 4335*w - 8658*w - 83. -2*w - 83 Collect the terms in -39*u - 53*u - 49*u + 175*u - 46*u. -12*u Collect the terms in -30*x**2 + 11*x**2 + 31 - 8 - 15*x**2. -34*x**2 + 23 Collect the terms in -5*q - 6*q + 18*q - 8*q + 24. -q + 24 Collect the terms in -113*y**2 - 12*y**2 - 42*y**2 - 24*y + 26*y. -167*y**2 + 2*y Collect the terms in -246*z**3 + 219*z**3 + 399*z**3. 372*z**3 Collect the terms in 140 - 140 - 5*w + 33*w. 28*w Collect the terms in -360*l + 209*l + 142*l. -9*l Collect the terms in -1004*w**2 - 444*w + 881*w - 437*w + 3773*w**2. 2769*w**2 Collect the terms in -68*i - 48*i + 116*i - 240*i**2 - 23*i**2. -263*i**2 Collect the terms in -3188*u + 1 + 6153*u - 1. 2965*u Collect the terms in -302*f + 807*f - 221*f - 286*f. -2*f Collect the terms in -86947450 + 4*c - 3*c + 86947450 + 0*c. c Collect the terms in -2*n**3 + 102740*n**2 - 102740*n**2 - 3*n**3. -5*n**3 Collect the terms in 3*g - 5*g + 5 + 2*g - 3*g**3. -3*g**3 + 5 Collect the terms in 3 + 74246*k**3 - 74262*k**3 - 3. -16*k**3 Collect the terms in 17*d + 8*d**3 - 495086 + 495086. 8*d**3 + 17*d Collect the terms in 14 + 9 + 15 - 32 - 465*s. -465*s + 6 Collect the terms in -3*m**2 - 2 - 7*m**2 - 10212*m + 11*m**2. m**2 - 10212*m - 2 Collect the terms in -7117711 + 640*f**2 + 7117711. 640*f**2 Collect the terms in -3*w**2 - 31624*w**3 + 31465*w**3 + 3*w**2. -159*w**3 Collect the terms in 36*h**3 - 29*h**3 + 8*h**2 - 8*h**2 + 34*h**3. 41*h**3 Collect the terms in 4 - 4 - 25362*w**3. -25362*w**3 Collect the terms in 111*m - 19 + 133*m + 240*m + 19. 484*m Collect the terms in -710*f**2 - 438*f**2 + 1142*f**2. -6*f**2 Collect the terms in 9 + 23 - n**2 + 10 - 69 + 27. -n**2 Collect the terms in -32191*n + 567*n**2 + 32191*n + 1264*n**2. 1831*n**2 Collect the terms in -154*h + 41*h + 40*h + 34*h + 36*h. -3*h Collect the terms in -14*q**2 - 14*q**2 - 27*q**3 + 10*q**2 + 9*q**3 + 15*q**3. -3*q**3 - 18*q**2 Collect the terms in 16*b + 2 + 11*b + 0 + 1 + 18*b. 45*b + 3 Collect the terms in 15*j**3 + 0*j**2 + 200*j**3 - 2*j**2. 215*j**3 - 2*j**2 Collect the terms in 14*j + 6086640 - 6086640. 14*j Collect the terms in -156*n - 852*n + 1007*n. -n Collect the terms in 17*f - 22*f + 6*f - 58*f. -57*f Collect the terms in 40*s - 6 + 35*s - 139*s + 60*s. -4*s - 6 Collect the terms in 138*i**3 + 150*i**3 + 146*i**3 - 579*i**3 + 144*i**3. -i**3 Collect the terms in 1320 + 3576*g - 1320 - 3556*g. 20*g Collect the terms in -1554*l**2 - 6844*l**2 - 564*l**2. -8962*l**2 Collect the terms in 386886196 - 386886196 - p. -p Collect the terms in -18*b**2 + 5*b - 3 - 32*b**2 + 0*b. -50*b**2 + 5*b - 3 Collect the terms in -8*x**3 + 4010*x**2 + 11*x**3 - 4010*x**2 + 5 - 5. 3*x**3 Collect the terms in 4*n**3 + 2244*n**2 - 13*n**3 - 1135*n**2 - 1109*n**2. -9*n**3 Collect the terms in 156799*k**2 + 156796*k**2 - 470392*k**2 + 156801*k**2. 4*k**2 Collect the terms in -73*p**2 - 36*p**2 + 88*p**2. -21*p**2 Collect the terms in 19 - 89*i**3 + 24 - 72 + 29 + 83*i**3. -6*i**3 Collect the terms in 73*g**2 - 125*g**2 + 830 + 51*g**2 - 830. -g**2 Collect the terms in 123*g**3 - 77 - 369*g**3 + 122*g**3 + 127*g**3. 3*g**3 - 77 Collect the terms in z + 4819446362 - 4819446362. z Collect the terms in -80735715*j**3 + 40367854*j**3 + 40367855*j**3. -6*j**3 Collect the terms in -2095*v**2 + 3*v - 1682*v**2 + 3788*v**2 - 3*v. 11*v**2 Collect the terms in 98*g**3 + 84*g**3 + 97*g**3 - g - 281*g**3 + g. -2*g**3 Collect the terms in -89 + 0*l - 3*l + 5*l. 2*l - 89 Collect the terms in -12*m**3 + 40*m**3 - 115 + 101. 28*m**3 - 14 Collect the terms in -101*m - 237*m - 579*m. -917*m Collect the terms in 38*q + 2*q**2 + 37*q - 136*q + 33*q + 32*q. 2*q**2 + 4*q Collect the terms in 1215*p**2 + 114*p**3 - 1215*p**2 + 24*p**3. 138*p**3 Collect the terms in 145 + 48*c - 23*c - 13*c - 19*c. -7*c + 145 Collect the terms in -223 + 393 - 38 + 476 + i. i + 608 Collect the terms in -2*r**2 + 0*r**2 + 3*r**2 + r**2 + 8*r**2. 10*r**2 Collect the terms in 67908*s + 2 - 22639*s - 22636*s - 22637*s. -4*s + 2 Collect the terms in 1112*g + 1107*g - 2286*g. -67*g Collect the terms in 0*r**2 + 3*r - 2*r - 128*r**2 - 2*r + 48*r**2. -80*r**2 - r Collect the terms in 31076*k + 3*k**2 - 31076*k. 3*k**2 Collect the terms in 24635 - 12540 - 3*d**2 - 12095. -3*d**2 Collect the terms in -9308*u - 14 + 18608*u - 9302*u - 18 + 32. -2*u Collect the terms in -31*r - 132*r + 166*r. 3*r Collect the terms in -1519*l + 1521*l + 2*l**2 + 71 + 0*l**2. 2*l**2 + 2*l + 71 Collect the terms in 8 + 11 - 19 - 56047*o. -56047*o Collect the terms in -152*y**2 + 145*y**2 - 2706 + 2706. -7*y**2 Collect the terms in 2906*j**2 - 2916*j**2 - 7 + 14 - 7. -10*j**2 Collect the terms in -620*w**2 - 3 + 3 + 608*w**2. -12*w**2 Collect the terms in 153 + 27*y**3 + 105 - 33*y**3. -6*y**3 + 258 Collect the terms in 772*x - 1607*x + 832*x. -3*x Collect the terms in 30*n**3 - 155*n**3 + 31*n**3 + n - n + 84*n**3. -10*n**3 Collect the terms in 12256885 - 12256885 - 4*z. -4*z Collect the terms in 2666*l**3 + l**2 + 18564*l**3 - l**2. 21230*l**3 Collect the terms in -4 + 12450*v**3 + 4 - 12470*v**3. -20*v**3 Collect the terms in 1398*y**2 + 200 - 1401*y**2 - 200. -3*y**2 Collect the terms in -4 - 513*c - c**2 + 3 - 2*c**2. -3*c**2 - 513*c - 1 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
4*v, -3*i + 0*i = 5*v - w. Suppose -102 = 5*u - i*u. List the prime factors of u. 2, 17 Let w be -11 - -5 - (1 + 0). Let b = w - -31. Suppose 3*n + 40 = 2*t, b = -4*t - 3*n + 122. What are the prime factors of t? 23 Let o = -49 + 52. Suppose 3*l = 5*f - 506, 5*f - 4*l - 511 + o = 0. What are the prime factors of f? 2, 5 Suppose -3*h + 6 = 0, -2*i - 5*h = -8 - 2. Suppose i*n = -3*n - 84. Let f = n - -30. List the prime factors of f. 2 Let a(l) = 11*l**2 + 5*l - 69. What are the prime factors of a(10)? 23, 47 Suppose 3*a + 2*z - 1113 = 0, 4*a + 4*z + 0*z = 1480. Let g be (-25)/10 + (-18)/12*3. What are the prime factors of (-2)/7 - a/g? 53 Suppose -10*o + 7*o = 72. Let l be (-6)/8*-4 + o. Let i = 34 + l. List the prime factors of i. 13 Suppose -3*y - 2 = -2*d, -4*d - 25 + 5 = 0. Let s = 7 + y. What are the prime factors of s/(-6) - 19/(-2)? 3 Let x = 7 - 4. Let j be 36 - 3*x/9. List the prime factors of (14/j)/(2/10). 2 Let d = 5564 - 3027. List the prime factors of d. 43, 59 Suppose -j + 15 = 7. List the prime factors of -3*((-7400)/15)/j. 5, 37 Suppose m + 4*i - 70 = 0, -2*m + 4*m = 3*i + 96. Suppose 0 = -2*t - y + 93, t - 10 = -4*y + m. Suppose t = 4*s - 8. What are the prime factors of s? 13 Let v(s) = -8*s - 60. List the prime factors of v(-21). 2, 3 What are the prime factors of (5 - (-104)/(-8)) + 3789? 19, 199 Let s(b) = b**2 + 4*b + 3. Let y be s(-3). Suppose y = 5*d + 4*i + 51 + 6, -3*d = -2*i + 21. What are the prime factors of (-2 + 5)*(-24)/d? 2 Let w = -1337 + 2954. What are the prime factors of w? 3, 7, 11 Let s(o) be the first derivative of -29*o**2/2 - 10*o + 38. List the prime factors of s(-5). 3, 5 Let i be (-1)/(-2) + (-9)/(-2). Suppose i*w + 3*v - 36 = 0, 5*w + v = -v + 34. What are the prime factors of (w/(-12))/((-1)/46)? 23 Suppose t - 3*s + 6 = 0, -t + 6 = 2*t + 3*s. Suppose t = -4*q + 335 - 31. What are the prime factors of q? 2, 19 Suppose 0 = 4*p + d - 20, -p + 2*d + 4 = -1. Let i(c) = c**3 - 4*c**2 + 2*c - 5. List the prime factors of i(p). 2, 3, 5 List the prime factors of 1854*(10 + (-136)/16). 3, 103 Suppose 0 = -2*u + 9 + 27. Suppose 370 = u*x - 13*x. List the prime factors of x. 2, 37 Suppose -16*y = -5963 - 549. List the prime factors of y. 11, 37 Let i(b) = -47*b + 33. List the prime factors of i(-28). 19, 71 Suppose 10*z + 8 = 38. Suppose 3*c - 330 = -z*x, 0*x + 226 = 2*x + 4*c. What are the prime factors of x? 107 Suppose 4*q = -20, -24*q = 3*l - 25*q - 656. List the prime factors of l. 7, 31 What are the prime factors of 1 + 2 - 8 - (-881)/1? 2, 3, 73 Let q = -1 - -51. List the prime factors of q. 2, 5 Suppose y - g = g - 7, g + 7 = 4*y. Suppose 79 + 26 = y*r + 4*s, -4*r + 4*s = -112. What are the prime factors of r? 31 Let j(i) = i**3 + i**2 - 1. Let m(k) = -5*k**3 - 5*k**2 - 3*k + 5. Let f(w) = 6*j(w) + m(w). Let v be f(3). Let l = 37 - v. List the prime factors of l. 11 Let y be 3 + (17 - 0/1). Suppose s = -3*s + y, 87 = 2*c + s. List the prime factors of c. 41 Let c(h) be the second derivative of 45*h**4/4 + 5*h**3/6 - 3*h**2 - 10*h. What are the prime factors of c(1)? 2, 67 Suppose 0 = 12*c - 29131 - 3377. What are the prime factors of c? 3, 7, 43 Suppose 6*t = 58 - 16. Suppose 31 = l - t. What are the prime factors of l? 2, 19 Let a = 45 + -40. Let u(z) = -z**2 - 6*z + 3. Let t be u(-6). Suppose -v - 11 = -t*v + j, 41 = a*v + 2*j. List the prime factors of v. 7 Let c(g) = g**2 - 2*g + 55. Let z be c(0). Suppose z = -3*o + 352. List the prime factors of o. 3, 11 What are the prime factors of ((-24)/16 + (-2113)/6)*-12? 2, 1061 Let f(h) = -4*h - 5. Suppose 16 = -3*z + 40. Let k = -11 + z. What are the prime factors of f(k)? 7 Suppose 33*n - 14771 = -4508. What are the prime factors of n? 311 Let y(l) = l**3 - 11*l**2 - 13*l + 15. Let z be y(12). Suppose 5*v = 4*s + 160, z = v + 4*s - 5. List the prime factors of v. 2, 7 What are the prime factors of (-2)/4 + -2 + 2562/4? 2, 11, 29 Let g(o) = o**3 - 21*o**2 - 16*o - 47. List the prime factors of g(22). 5, 17 Let z = -1178 + 1945. List the prime factors of z. 13, 59 Let f(d) = -200*d - 67. List the prime factors of f(-3). 13, 41 Suppose 0 = 3*u + b - 769, 0 = -4*u + b + 619 + 411. List the prime factors of u. 257 Let m = 9 + -14. Let j be (-9)/m*5*2. Let c = -10 + j. List the prime factors of c. 2 Let t be 2/(-1)*(-3 + 1). What are the prime factors of 56/t*5 - 1? 3, 23 Let z(t) be the first derivative of -t**3/3 - 17*t**2/2 - 11*t - 36. List the prime factors of z(-9). 61 Suppose -9*c + 10*c = 13. Suppose -v + 2*m = -0*v + c, m = 2*v + 14. Let b(a) = -a**3 - 4*a**2 + 3*a - 3. What are the prime factors of b(v)? 7 Let u(n) = 176*n - 14. List the prime factors of u(1). 2, 3 Suppose -6*k + 5399 = 2033. List the prime factors of k. 3, 11, 17 Let c = 5 - 2. Suppose -x + 5 + 7 = c*a, -x + 5*a - 20 = 0. Suppose x = -3*w + 11 - 5, -4*b - 2*w = -12. List the prime factors of b. 2 Let j(c) = 2*c - 35. Let f be j(19). Suppose 3*m + 151 + 323 = f*i, i = -3*m + 162. List the prime factors of i. 3, 53 Suppose -k = -4*h - 3723, k = -0*k - 9*h + 3736. List the prime factors of k. 3727 Let w(o) be the first derivative of -21*o**2/2 - 7*o - 10. List the prime factors of w(-4). 7, 11 Suppose -18477 = -4*k + f - 5469, -3*f = -4*k + 13008. What are the prime factors of k? 2, 3, 271 Suppose 2*x = -3 - 3. Let v be (-1)/(x*3/45). Suppose v*w = 285 + 75. List the prime factors of w. 2, 3 List the prime factors of 207/((-78)/(-126) + (-4)/14). 3, 23 Let y(q) = 30*q - 29. Let i = 93 - 86. What are the prime factors of y(i)? 181 Let z = -24 + 11. Let l = z + 18. Suppose l*m = 9*m - 100. List the prime factors of m. 5 List the prime factors of -3 - (-36)/(-24)*10508/(-6). 2, 41 Let v be 1/2 - (-14)/28. Let t be 6*(v/(-2) + 1). Suppose t*i - i = 116. List the prime factors of i. 2, 29 Let l(b) = 13*b**2 - 20*b - 3. What are the prime factors of l(12)? 3, 181 Let c be 4/(-16) + (-39)/(-12). List the prime factors of 371/c - (-4)/(-36)*-3. 2, 31 Suppose 250 = 3*c + 3*a - 1139, 2*a + 4 = 0. List the prime factors of c. 3, 5, 31 Let v = -39 + -55. What are the prime factors of (-1 - 2/(-4))*v? 47 Let x = -2 - -3. Let z be 14/5 + x/5. Suppose -z*v + 35 = p, 0 = 3*p - 4*v - 178 + 60. List the prime factors of p. 2, 19 Suppose 5*k + 0*k - 2*k = 0. Suppose 2*y = -2*f + 50, k*y - 44 = -2*f + y. What are the prime factors of f? 23 Let t(v) = -276*v - 75. List the prime factors of t(-7). 3, 619 Let d = 109 + -105. Suppose -d*m - r + 757 + 3 = 0, 382 = 2*m + r. What are the prime factors of m? 3, 7 Suppose 4*d - 3*z = -8*z + 8425, 2*d - z - 4209 = 0. List the prime factors of d. 5, 421 Let j(p) = p**3 + 15*p**2 + p + 37. Let m be j(-15). List the prime factors of m/6 + (-18)/(-54) + 331. 5, 67 Suppose -25 = -3*s + 4*s. Let f = 27 + s. List the prime factors of -2*1/f*-59. 59 Let u(f) = 3784*f + 74. What are the prime factors of u(1)? 2, 3, 643 Let f(d) = -19*d**2 + 6*d - 11. Let v(w) = -1. Let q(j) = -f(j) + 6*v(j). List the prime factors of q(2). 3, 23 Let v(t) = 2*t + 8. Let w be v(-4). Let r(p) = w + 5 + 2*p + p**3 + 8*p**2 - 3*p**2. What are the prime factors of r(-4)? 13 Suppose 5*c - x - 6440 = 0, -5*c - 5*x + 2*x = -6420. What are the prime factors of c? 3, 11, 13 Let c be 36/234 - (-108)/(-26). Let j be 16/104 - 119/13. List the prime factors of (-21)/(4 + j - c). 3, 7 Suppose 4*a - 4*d = 2812, 0 = 3*a + 3*d - 707 - 1402. What are the prime factors of a? 19, 37 Suppose 7*i - 12*i + 15 = 0. Suppose 8 = i*l + l. List the prime factors of l. 2 Suppose -10166 = 91*t - 137*t. What are the prime factors of t? 13, 17 Let z(j) = 4*j**2 + 1. Let n be z(1). Suppose n*f - 4*s - 1515 = 0, 5*s - 37 = -f + 266. List the prime factors of f. 3, 101 Suppose 5*d - 525 = q, 5*q - 391 = -7*d + 3*d. Let b = d + -66. What are the prime factors of b? 2, 19 Let z be 3 + (-3 - -1)/(-2). Suppose 8 = -4*c, z*r - 3*c = 3*r + 25. What are the prime factors of r? 19 Let p = 22 + -11. Let y = p - 8. Suppose 5*w - 56 = -u, 4*w + y*u - 10 = 26. What are the prime factors of w? 2, 3 Suppose -m + 0*m + 520 = 0. Suppose 150 + m = 5*c. Suppose 21 = 5*q - c. What are the prime factors of q? 31 Let n(u) = -9*u + 53. What are the prime factors of n(-5)? 2, 7 Let k(v) = -6*v + 83. Let a be k(14). Let h(m) = -40*m + 12. Wha
{ "pile_set_name": "DM Mathematics" }
(32/1911) Simplify (v**14)**33 assuming v is positive. v**462 Simplify p**(-5)/(p/(p**(-16)*p)) assuming p is positive. p**(-21) Simplify (o/(o**38*o*o))/(o*o*o**(-5/3)) assuming o is positive. o**(-118/3) Simplify o*o**(-6)*o/((o/(o*o**(-1))*o)/o*o)*(o**7*o)/(o*((o*(((o**2*o)/o)/o)/o)/o)/o) assuming o is positive. o**2 Simplify v**(7/8)*v**(1/4)*v assuming v is positive. v**(17/8) Simplify ((b/(b**(6/7)*b))/b)/b*b*b**(9/2) assuming b is positive. b**(37/14) Simplify w**(9/4)*w*w**(-1/12) assuming w is positive. w**(19/6) Simplify (g**(-2/5))**(1/46)/((g*g/(((g/g**4)/g)/g)*g)/g**(-4)) assuming g is positive. g**(-1381/115) Simplify (u*u*u**(-1/5)*u)/(u*u**(-12)) assuming u is positive. u**(69/5) Simplify (t**5*t)**30 assuming t is positive. t**180 Simplify ((((h*h*h**(-2)*h*h)/h*h)/h)/h)/((h*h**4)/h*h)*(h**(-4)/h)/(h/(h*h**8)*h) assuming h is positive. h**(-3) Simplify i**(2/13)*i*i/(i**15*i) assuming i is positive. i**(-180/13) Simplify w**(-18)*(w*w**(-17))/w*w assuming w is positive. w**(-34) Simplify (r**(1/7)*r)**(-5) assuming r is positive. r**(-40/7) Simplify i**(-6)*i*i**(-3)*((i*i**(-1))/i)**(-10) assuming i is positive. i**2 Simplify ((h*(h*h**(2/7))/h)/h)**(17/3)*(h/(h**9/h))/h**3 assuming h is positive. h**(-176/21) Simplify (a*a**(2/15)/a*a)/a*a**(3/2)*a*(a**3/a)/a*a**(-1/7) assuming a is positive. a**(733/210) Simplify (q**(-2/3)/q)**(1/5)/((q**(-1/5)/q)/q**6) assuming q is positive. q**(103/15) Simplify b**(8/7)*b**(13/4) assuming b is positive. b**(123/28) Simplify (a**(1/4)/a**(-5))**(-1/3) assuming a is positive. a**(-7/4) Simplify (i/(i/(i/(i/(i**(-1/2)/i)*i))))**40/(i**2*i**(-2/13)/i*i*i) assuming i is positive. i**(-1337/13) Simplify i**(-10)/i**(-1/7) assuming i is positive. i**(-69/7) Simplify (a/a**(-5)*a)/(a*a**(-4))*a**(-1)/(a/(a**(-8)*a)) assuming a is positive. a Simplify (s*s*s*s**(1/7)*s*s**2)**(1/22) assuming s is positive. s**(43/154) Simplify ((f/(f*f**(-4/5)*f*f*f))/f*(f**(-3)*f)/f)/(f**1*f*f)**(-35) assuming f is positive. f**(494/5) Simplify (y*y/((y/y**(-2/5))/y))/(y*y**(1/17))*(y*y**(1/2))**23 assuming y is positive. y**(5957/170) Simplify (((q*q**(-1/3)*q)/q)/q)/(q*q**(1/17)) assuming q is positive. q**(-71/51) Simplify (t**(-1)/t*t*t/(t**(3/5)/t))**(-1/37) assuming t is positive. t**(-2/185) Simplify s**(-8/11)/s**(2/121) assuming s is positive. s**(-90/121) Simplify u/(u*u**(2/5)/u*u*u)*u*u*u**3/u assuming u is positive. u**(13/5) Simplify ((f/(f*f**(-3/2)*f))/(f/f**(-8)))/(f**(-3)/(f/(f/f**(-3/11)))) assuming f is positive. f**(-127/22) Simplify (b**(1/2))**32*(b**(-2/7)*b)/((b/b**(4/3))/b*b) assuming b is positive. b**(358/21) Simplify (p**2)**(-30) assuming p is positive. p**(-60) Simplify ((n*n**(-2/11)/n)/((((n**(-1/16)*n)/n)/n*n)/n))/(((n/n**(1/7))/n)/(n/(n*(n/n**(-1/3))/n))) assuming n is positive. n**(2551/3696) Simplify r**4*r/r**1*(r**(2/7))**(-20) assuming r is positive. r**(-12/7) Simplify ((h**(-1/2))**(-1/6))**2 assuming h is positive. h**(1/6) Simplify ((f*f**3)/f)**(-2/37) assuming f is positive. f**(-6/37) Simplify (w**3/(w/((w*((w*w*w**3)/w)/w)/w)*w*w))/((w*w**(-5))/w*w*w**6*w) assuming w is positive. 1 Simplify w**11/w**(11/6) assuming w is positive. w**(55/6) Simplify (p**(-1))**(2/119)/((p*p/(p/p**(-1/5)))/((p**(-7)*p)/p)) assuming p is positive. p**(-4651/595) Simplify ((f**(-1/6)/f*f*f)**(-26))**27 assuming f is positive. f**(-585) Simplify ((p**(-1/4))**2)**(-2/91) assuming p is positive. p**(1/91) Simplify h*h**15*h*(h*h**(18/7))/h assuming h is positive. h**(137/7) Simplify (a*a**(1/2))**(-29)*a*a/(((a/a**(6/5))/a*a)/a*a*a)*a/((a**6*a)/a) assuming a is positive. a**(-473/10) Simplify ((l**0)**(1/3))**(-11/2) assuming l is positive. 1 Simplify (q**3)**5 assuming q is positive. q**15 Simplify (a*(a*a*a/(a/a**(1/3))*a)/a)**(-49) assuming a is positive. a**(-490/3) Simplify (h**(2/13)*h**(-1/3))**(-8) assuming h is positive. h**(56/39) Simplify (i**(-1)*i**3)**(-29) assuming i is positive. i**(-58) Simplify (m**(-1/4))**(-9/7)*(m*m/(m*m*((m**(-2)/m*m)/m)/m*m)*m)**48 assuming m is positive. m**(5385/28) Simplify g**7/g**(-4)*((g*g**(-3/7)*g)/g)/(g*g**2*g*g) assuming g is positive. g**(46/7) Simplify (f/(f*f*f**(-1/5)*f)*f**(-13))**(-19) assuming f is positive. f**(1406/5) Simplify ((p*p/p**(2/11))/((p/p**(-7))/p))**(-18) assuming p is positive. p**(1026/11) Simplify (o**(-2))**7/(o**(2/13)/(o*o/o**(2/7))) assuming o is positive. o**(-1132/91) Simplify ((r**8)**(-1))**36 assuming r is positive. r**(-288) Simplify v/(v*v**(9/2))*v*v*(((v*v**(3/22))/v*v)/v)/v assuming v is positive. v**(-37/11) Simplify (y**40*y)/y*y*y/y**(-2/19) assuming y is positive. y**(800/19) Simplify (h**(1/3)*h)/((h**(-3)/h*h)/h*h) assuming h is positive. h**(13/3) Simplify d**(-15/4)/(d*d**(3/10)/d) assuming d is positive. d**(-81/20) Simplify (b*b**0)/(b**(1/10)/b)*b/(b**(-9)*b)*b**(2/5)/b assuming b is positive. b**(103/10) Simplify (z*z**13)/z*z**(-18) assuming z is positive. z**(-5) Simplify z**(-3)*z/(z*(z**(1/9)/z)/z)*((z/(z**2/z*z))/z)/(z*z**4*z) assuming z is positive. z**(-82/9) Simplify m**(5/13)*m/(m**(-19/5)/m*m)*m assuming m is positive. m**(402/65) Simplify (l/l**(1/2))**(2/9) assuming l is positive. l**(1/9) Simplify (v/(v**(-5)*v)*v*v**(2/15))**(-2/43) assuming v is positive. v**(-184/645) Simplify (g**(1/4))**(-50) assuming g is positive. g**(-25/2) Simplify (r/(r*r**(2/3)*r))**(2/9)*r/(r**(-1/8)*r)*r**(-1/5) assuming r is positive. r**(-481/1080) Simplify ((w/(w/w**(-4)))/w*w)**(2/103) assuming w is positive. w**(-8/103) Simplify ((f**(-1/2))**(1/13))**5 assuming f is positive. f**(-5/26) Simplify ((d*d/d**(2/7))/d)**(-1)/((d/(d**(-9)/d)*d)/d*d*d/d**10) assuming d is positive. d**(-26/7) Simplify (((a*a**(-9)*a*a)/a)/a**3)/((a**(-1/8)/a)/((a/a**(-4)*a)/a)) assuming a is positive. a**(-31/8) Simplify (u*u**(1/6))**(-3) assuming u is positive. u**(-7/2) Simplify (c/(c**16*c)*c/(c/(c**8*c)))**32 assuming c is positive. c**(-224) Simplify (z**(2/9))**(-5/7) assuming z is positive. z**(-10/63) Simplify (s**(-2/5))**(22/9)*(s**(-1)*s)**(-2/41) assuming s is positive. s**(-44/45) Simplify (r**(-3))**(-11/2) assuming r is positive. r**(33/2) Simplify (k/(k*k/((((k/(k*k**(3/5)*k))/k)/k)/k)*k*k))/(k**(-2)*k*k)*k**(-3/5)/((k*k/(k*k**6/k*k)*k)/k*k) assuming k is positive. k**(-21/5) Simplify v**16*v*(v/(v*v**12))/v assuming v is positive. v**4 Simplify x**(-11)*x*x*x/((x*x*x**(3/8)*x)/x) assuming x is positive. x**(-83/8) Simplify (v*v**(1/7)*v)**(-15/2) assuming v is positive. v**(-225/14) Simplify ((c**(-7)*c)/c)/c**(-3)*(c/c**1)**(36/5) assuming c is positive. c**(-4) Simplify (g*(g/(g/(g/(g**2*g))*g))/g*g*g*g)**14/((g**2*g)/g*g**(-1/12)) assuming g is positive. g**(-23/12) Simplify (c**(-2/3)*c*c)**8/(c/(c/(c*c/(c*c*(c*c**(-4))/c*c)))*c*c**(2/5)) assuming c is positive. c**(94/15) Simplify ((o/o**(-1/5))**49)**(-48) assuming o is positive. o**(-14112/5) Simplify ((y**0/y)/((y/(y*y/(y/(y*(y*y/(y*y/(y*y/(y/(y/y**(-1))))*y)*y)/y*y*y)*y)))/y))/(y*y**(-1/4)*y*(y/y**(-1/9)*y)/y) assuming y is positive. y**(41/36) Simplify v*v/v**(-5)*v**(-5/11) assuming v is positive. v**(72/11) Simplify ((u*u*(u/(u*u**10))/u)/u)**(3/35) assuming u is positive. u**(-6/7) Simplify m/(m*m**(6/11)*m)*m**5 assuming m is positive. m**(38/11) Simplify m**37*m/(m/(m*m**(-8/7)*m)*m)*m assuming m is positive. m**(265/7) Simplify (g*g**(-1/3))**(-25/3)*g/((g*g**(-3/7)/g)/g)*g*g**(5/4) assuming g is positive. g**(-221/252) Simplify n*n/n**14*n*n/(n**(3/7)/n) assuming n is positive. n**(-66/7) Simplify ((t/t**(-3/10))/t*(t*t/(t*t**(-6))*t*t)/t)/((t*((t*t**(-5))/t)/t)/t**(1/5)) assuming t is positive. t**(27/2) Simplify (((s**(-5)/s)/s*s)/s*s)/s**(-6)*s*s**(-1)/s*s**(-8) assuming s is positive. s**(-9) Simplify (m**0/m)**(-50)*(m/(m/(m**(2/7)/m)))**(-45) assuming m is positive. m**(575/7) Simplify (i**(-5)*i**(2/3))**(8/5) assuming i is positive. i**(-104/15) Simplify (m**2)**(-2/3)/(m**0)**15 assuming m is positive. m**(-4/3) Simplify (d**2*d)**(-8/3)*d**(-11)*d*d*d/((d*d/(d/d**(1/6)))/d)*d*d*d assuming d is positive. d**(-79/6) Simplify (((a/(a*a**(4/5)*a))/a)/a*a/(a*a**(-6)))/(a**(2/7))**37 assuming a is positive. a**(-293/35) Simplify ((l**(2/21)/l)**(-9))**33 assuming l is positive. l**(1881/7) Simplify (p/(p**(1/10)/p))**(2/
{ "pile_set_name": "DM Mathematics" }
-10876, -18748, -29724? -44320 What comes next: 79, 177, 333, 553, 843, 1209? 1657 What is the next term in 6, -13, -26, -27, -10, 31, 102? 209 What is the next term in -26124, -26206, -26342, -26532? -26776 What is next in -60, -114, -166, -216, -264, -310? -354 What comes next: 2641, 5325, 8107, 11035, 14157, 17521? 21175 What is the next term in 6629, 6627, 6625, 6623, 6621, 6619? 6617 What comes next: 691, 761, 867, 1009, 1187, 1401? 1651 What comes next: -4271, -8500, -12685, -16826, -20923, -24976? -28985 What is the next term in -772658, -1545325, -2317996, -3090671, -3863350, -4636033, -5408720? -6181411 What is next in -361, -1539, -3503, -6253? -9789 What is next in 59478, 118970, 178458, 237942, 297422, 356898? 416370 What is next in -668, -588, -488, -356, -180, 52? 352 What comes next: -47, -256, -827, -1958, -3847, -6692? -10691 What comes next: 1143, 823, 289, -459, -1421? -2597 What comes next: -23, -242, -701, -1442, -2507, -3938, -5777, -8066? -10847 What is the next term in -961, -3400, -5849, -8314, -10801, -13316, -15865, -18454? -21089 What is the next term in 33056, 33062, 33064, 33062, 33056, 33046, 33032? 33014 What is the next term in -5739, -22998, -51769, -92046, -143823? -207094 What is the next term in 388584, 388583, 388582? 388581 What is the next term in -153, -752, -1761, -3186, -5033, -7308, -10017? -13166 What comes next: 77, 679, 2311, 5489, 10729, 18547, 29459? 43981 What comes next: 62, 264, 466? 668 What is next in 521474, 521472, 521470, 521468, 521466, 521464? 521462 What is next in -1706, -1702, -1684, -1646, -1582, -1486, -1352, -1174? -946 What is next in 106379, 106424, 106479, 106550, 106643, 106764, 106919, 107114? 107355 What comes next: 722, 833, 942, 1049, 1154, 1257? 1358 What is the next term in 324913, 649819, 974725, 1299631, 1624537, 1949443? 2274349 What is next in -20880, -41502, -62134, -82782, -103452, -124150, -144882, -165654? -186472 What is next in 26, 241, 834, 1997, 3922, 6801, 10826? 16189 What is next in -51, -88, -105, -96, -55? 24 What comes next: 212, 833, 1868, 3317, 5180? 7457 What is next in -1357, -1328, -1225, -1012, -653? -112 What comes next: 6469, 25841, 58103, 103237, 161225, 232049, 315691? 412133 What is next in -679, -667, -647, -619, -583, -539? -487 What comes next: 234730, 234731, 234732, 234733, 234734, 234735? 234736 What is the next term in 148812, 297628, 446444, 595260, 744076, 892892? 1041708 What is the next term in 2714, 3218, 4044, 5180, 6614, 8334, 10328? 12584 What is the next term in -1045, -1174, -1389, -1690, -2077? -2550 What is the next term in -388, -292, -126, 116, 440, 852? 1358 What is the next term in 257, -663, -1587, -2515, -3447? -4383 What comes next: -2268, -2270, -2274, -2280, -2288? -2298 What is next in -200258, -400515, -600768, -801017? -1001262 What is the next term in -293, -917, -1881, -3179, -4805, -6753? -9017 What is the next term in -443726, -443724, -443722, -443720, -443718, -443716? -443714 What is next in -83, -177, -331, -569, -915, -1393, -2027? -2841 What is next in -212210, -424417, -636624, -848831? -1061038 What is next in -17346, -69405, -156162, -277611, -433746? -624561 What is the next term in -10637, -11222, -11807, -12392, -12977? -13562 What is next in 38716, 38717, 38718? 38719 What is next in 70, 127, 184, 241, 298? 355 What is the next term in -1426710, -1426711, -1426712, -1426713, -1426714, -1426715? -1426716 What is next in -1133, -4202, -9309, -16448, -25613? -36798 What is the next term in 92, 128, 214, 374, 632, 1012, 1538, 2234? 3124 What is next in -220, -1575, -5256, -12427, -24252, -41895, -66520, -99291? -141372 What is the next term in 2451, 9809, 22057, 39183, 61175? 88021 What is next in -136, -165, -234, -343? -492 What comes next: -15416, -30826, -46236, -61646, -77056, -92466? -107876 What is the next term in 419, 811, 1203, 1595? 1987 What is the next term in 383, 502, 621, 740, 859, 978? 1097 What comes next: -854, -1162, -1676, -2396? -3322 What comes next: 40902, 81794, 122686? 163578 What is next in 20, -133, -438, -877, -1432, -2085, -2818, -3613? -4452 What is the next term in -155, -76, 37, 190, 389? 640 What is next in -536, 1881, 5910, 11551? 18804 What is next in 117, 34, -49, -132, -215? -298 What comes next: -4915, -19643, -44191, -78559, -122747, -176755, -240583? -314231 What is next in 12050, 12084, 12118, 12152, 12186? 12220 What is next in 10444, 10441, 10438, 10435, 10432? 10429 What comes next: 16128, 32262, 48396, 64530? 80664 What is the next term in -21803, -21877, -22075, -22457, -23083? -24013 What comes next: -147, -346, -559, -792, -1051, -1342, -1671, -2044? -2467 What is the next term in 1689, 6505, 14531, 25767, 40213, 57869, 78735? 102811 What is the next term in 129, 88, 51, 18? -11 What comes next: 1292, 1710, 2406, 3380? 4632 What is the next term in 341902, 683797, 1025692, 1367587, 1709482? 2051377 What is the next term in 10041, 40172, 90391, 160698, 251093, 361576? 492147 What is next in 62604, 62608, 62612, 62616, 62620, 62624? 62628 What comes next: -5849, -5842, -5829, -5810? -5785 What comes next: 1793, 3185, 4543, 5861, 7133, 8353, 9515? 10613 What is the next term in 2609, 5731, 8853? 11975 What comes next: -481, -950, -1415, -1876, -2333, -2786, -3235? -3680 What is next in -30262, -30275, -30288, -30301? -30314 What comes next: -111, 68, 247, 426, 605? 784 What is the next term in 13957, 13897, 13837, 13777, 13717, 13657? 13597 What comes next: -16195, -64739, -145631, -258865, -404435, -582335, -792559? -1035101 What is the next term in -308, -327, -338, -341, -336? -323 What comes next: -36574, -36572, -36570, -36568, -36566, -36564? -36562 What comes next: -119478, -119470, -119458, -119442, -119422, -119398, -119370? -119338 What comes next: 4697, 18860, 42473, 75536, 118049, 170012, 231425? 302288 What is next in -7, -742, -1971, -3700, -5935, -8682? -11947 What is next in 203, 358, 617, 980, 1447, 2018, 2693? 3472 What is next in 2, 94, 250, 476, 778, 1162? 1634 What is next in -98, -712, -1728, -3146? -4966 What is the next term in -2501, -5003, -7505, -10007, -12509? -15011 What is next in 1204, 4865, 10966, 19507, 30488, 43909? 59770 What comes next: 661, 772, 969, 1294, 1789, 2496, 3457? 4714 What is the next term in 5958, 11941, 17946, 23979, 30046, 36153? 42306 What comes next: 456, 3710, 12542, 29742, 58100, 100406? 159450 What is the next term in -1725, -6890, -15469, -27438, -42773, -61450, -83445? -108734 What is next in -3364, -6693, -10022, -13351? -16680 What comes next: -277, -573, -889, -1225, -1581, -1957? -2353 What comes next: 13337, 13143, 12949, 12755? 12561 What is the next term in 1080, 4344, 9792, 17418, 27216, 39180, 53304? 69582 What comes next: -416, -1753, -4018, -7211, -11332, -16381, -22358? -29263 What comes next: 31497, 62997, 94497, 125997? 157497 What is the next term in -21628, -43255, -64882? -86509 What is next in 47, 356, 1193, 2822, 5507, 9512, 15101, 22538? 32087 What is next in -262, -475, -1046, -2155, -3982? -6707 What comes next: 62473, 124946, 187419, 249892, 312365? 374838 What is next in 234, 921, 2062, 3657, 5706, 8209, 11166? 14577 What is the next term in 1191, 1311, 1441, 1587, 1755, 1951? 2181 What comes next: -95, -350, -769, -1352, -2099, -3010, -4085? -5324 What comes next: -185, -237, -267, -275? -261 What comes next: 13665, 54670, 123025, 218736, 341809, 492250, 670065, 875260? 1107841 What comes next: 7024, 7071, 7118? 7165 What is next in 763, 1611, 2559, 3607, 4755, 6003? 7351 What is the next term in -18998, -75909, -170752, -303521, -474210? -682813 What comes next: -125, -560, -1645, -3704, -7061, -12040, -18965? -28160 What comes next: -320, -1318, -2990, -5342, -8380? -12110 What is the next term in -5403, -10844, -16279, -21708? -27131 What comes next: 5442, 21842, 49176, 87444, 136646, 196782? 267852 What comes next: 16210, 16174, 16140, 16108, 16078, 16050? 16024 What comes next: -1077, -1176, -1275, -1374? -1473 What is next in -2486, -2490, -2494, -2498, -2502? -2506 What is the next term in -553096, -1106182, -1659268, -2212354, -2765440? -3318526 What comes next: 11749, 23501, 35253, 47005? 58757 What is the next term in -494912, -494905, -494898? -494891 What
{ "pile_set_name": "DM Mathematics" }
t o(n) = -6*n - 2. What are the prime factors of o(z)? 2, 5 Let u be ((1 + -10)/3)/(-1). Suppose 0 = -5*y - 3*b - b + u, -12 = -y + 3*b. Let f = y + 1. What are the prime factors of f? 2 Let h be 2/(2*(-1 - -2)). Suppose 5*t = 3*f + 12, 2*f + h = 2*t - t. List the prime factors of t. 3 Let k(j) = 10*j**2 + 4*j - 2. Let d(w) = 5*w**2 + 2*w - 1. Let i(p) = 11*d(p) - 6*k(p). Let x be i(1). Let r = -4 - x. What are the prime factors of r? 2 List the prime factors of -3*1 - -12*1. 3 Let p be 231/15 + (-6)/15. Let r = -11 + p. Suppose r*i - i - 36 = 0. What are the prime factors of i? 2, 3 Let s(r) = r - 4. Let m be s(4). Suppose -4 - 6 = 2*u, -2*x + u + 9 = m. Suppose 13 = 2*y - 3*k, -2*y - y = -x*k - 22. What are the prime factors of y? 2 Let d be (-10)/(-5) - 4/2. Suppose d = 3*m - 7 - 5. Suppose -9*x - 5*z + 75 = -m*x, -3*x + 13 = -5*z. What are the prime factors of x? 11 Let p(v) = 7*v**2 + 7*v + 5. What are the prime factors of p(-4)? 89 Suppose 4*z + 4 = 0, -2*z - 15 = j + 3*z. Let k be 1*20*4/j. Let q = k - -19. List the prime factors of q. 11 Suppose 2*k + 7*r = 2*r + 168, 3*k + r - 265 = 0. List the prime factors of k. 89 Let g(n) = n**3 + 2*n**2 - 2*n - 3. Let q be g(-2). Suppose s = q + 4. Suppose x + 4*r - 19 = 0, -x + r + r - s = 0. What are the prime factors of x? 3 Suppose 15 + 21 = 4*k. What are the prime factors of k? 3 Let q be (-8)/(-2) - 3 - -24. Suppose -50 = -30*m + q*m. List the prime factors of m. 2, 5 Suppose -14*x = -20*x + 1734. List the prime factors of x. 17 Suppose -i + 1 = -4. What are the prime factors of i? 5 Suppose 5*f = -o - 4*o + 20, -2*o + 3*f = -3. Suppose 2*w - 4*l - 36 = 0, 4*w - 2*l - 90 = -o*l. List the prime factors of w. 2, 11 Let t = 2 - -3. List the prime factors of t. 5 Let s(z) = -3*z - 2. Let y = 8 + -10. Let u be s(y). Suppose -5 = l + w - 23, 2*l - u*w - 6 = 0. List the prime factors of l. 13 List the prime factors of 40/(-15)*(-27 + 0). 2, 3 Suppose -2*p + 4 = -p, -p = -4*v + 12. Suppose 16 - v = -2*a. Let k = -4 - a. List the prime factors of k. 2 Suppose -8 = b - k, 11 + 32 = -5*b + 2*k. Let u = b + 15. Suppose 61 = 5*d - 2*n + u*n, 4*d - 4*n = 20. List the prime factors of d. 3 Suppose -197 = -5*m + u, -5*m - 19 = -3*u - 220. List the prime factors of m. 3, 13 Suppose -q + 2*p = -109, -211 - 264 = -5*q - 4*p. What are the prime factors of q? 3, 11 Let y = -63 + 305. What are the prime factors of y? 2, 11 Suppose 0 = 2*o - 19 + 1. Let x = 1 + o. Suppose 5*l - 51 = -2*m, -4*m - x = -2. List the prime factors of l. 11 Let t be (-1 + -4)*24/(-8). Suppose -3*a + 5 = -s + 2, a - 5*s = t. Suppose 3*w + 24 = 5*c - a*w, 5*w = 5*c - 30. List the prime factors of c. 3 Suppose -5*g = -8*g. Suppose 9 = u - g. What are the prime factors of u? 3 Let n = 299 + -75. List the prime factors of n. 2, 7 Let t(g) = -3*g - 9. Let y be t(-4). Suppose b + b - 24 = 0. Suppose y*x + 0*x = b. List the prime factors of x. 2 Suppose 0 = -t + 31 - 6. Let r = t - 41. Let b = r - -28. What are the prime factors of b? 2, 3 Let k(t) = -16*t - 1. Let z be k(-1). Let a = 32 - z. Let w = a - 8. What are the prime factors of w? 3 Let g = 29 + 16. What are the prime factors of g? 3, 5 Let v(b) be the second derivative of -b**3/6 + 2*b**2 - 3*b. Let t be v(7). What are the prime factors of ((-1)/t)/(1/15)? 5 Suppose 12 = 5*m + 2. Let g be 6/18 + (-44)/(-12). Suppose -m*d + 3*z = 3, -2*d + z = -3 - g. List the prime factors of d. 2, 3 Let h = 12 + -7. Suppose -2*w - 15 = -0*w + 3*d, -h*w - 2*d - 10 = 0. Let c = w + 6. What are the prime factors of c? 2, 3 Let f(r) = 13*r. Let a(m) = -14*m - 1. Let t(u) = -2*a(u) - 3*f(u). Let l be t(-3). Let n = l + -19. What are the prime factors of n? 2 Suppose -g - 8 = 4*x - 0, -6 = 2*x. Suppose 0 = 2*p - 5*b + 2*b - 35, 2*p - 14 = -g*b. Suppose -w = -6 - p. List the prime factors of w. 19 List the prime factors of (-10 + 45)*((-8)/(-5) + -1). 3, 7 Let h be (-2)/(-5) - (-65)/25. Suppose 5*c = 3*m - 2*m + 16, -h*c - 21 = -4*m. What are the prime factors of m? 3 Let o be -2 - (-1 - -4 - 1). Let f(r) be the second derivative of -r**4/12 - 7*r**3/6 - 3*r**2/2 + r. List the prime factors of f(o). 3 Let y(p) = -2*p**3 - 4*p**2 - 15*p + 8. What are the prime factors of y(-4)? 2, 3, 11 Suppose 2*m + 5*o = m + 331, 3*m - 925 = 2*o. What are the prime factors of m? 311 Let f(s) = -s + 1. Let p be f(0). Let y = 21 - p. What are the prime factors of y? 2, 5 Let v(d) = -7*d + 11. Let n(g) = -6*g + 10. Let q(y) = -6*n(y) + 5*v(y). Let t be q(6). Let j(r) = 6*r. List the prime factors of j(t). 2, 3 Let k be 90/8 - 2/8. Suppose -4*c = -k + 43. List the prime factors of (c/(-24))/(2/18). 3 Suppose 0*z + 14 = -z. Let t = -3 - z. What are the prime factors of t? 11 Suppose -3*g + 3*h = -24, 3*h - 6*h - 27 = -4*g. Suppose -g*i = -z - 95, 34 = 4*i + 4*z - 98. What are the prime factors of i? 2 Suppose -2*m - 10 = 0, 3*m + 15 = -2*o + 6*o. Let u = 21 + -6. Let i = u + o. List the prime factors of i. 3, 5 Suppose 2*k - 4 = k. Suppose 0 = 5*d - 4*t - 48, 5*t = -k*d + 3*t + 28. List the prime factors of 0 + 1 + d - -1. 2, 5 List the prime factors of 3664/40 - (-2)/5. 2, 23 Suppose -244 = -5*o + o + c, 2*o - 3*c = 122. What are the prime factors of 1/(-6) - o/(-6)? 2, 5 Suppose 8*u = 3*u + 10. Suppose -4*w + 26 = -u*w. List the prime factors of w. 13 Suppose w + 10 - 90 = 0. List the prime factors of w. 2, 5 Suppose -7*n + 529 = -304. What are the prime factors of n? 7, 17 Suppose -3*o = -3 - 3. Suppose 3*l = o*l + 6. Suppose -3*a = -n + l, n + 5*a - 2*a - 6 = 0. List the prime factors of n. 2, 3 Let k = -26 - 160. List the prime factors of k/(-26) + 24/(-156). 7 Suppose l - 2*x = 36, 4*x + 109 = 4*l + 3*x. Suppose 0 = -2*r + 4*r - l. What are the prime factors of r? 13 What are the prime factors of ((-26)/(-91) + 1695/(-28))*-4? 241 Let b(i) = i**2 + 3*i + 1. Let t be b(-2). Let g be 1/((t/2)/(-1)). Suppose 11 = g*f - 23. What are the prime factors of f? 17 Let i(j) be the first derivative of 4*j + 1/4*j**4 + 0*j**2 + 4/3*j**3 + 1. What are the prime factors of i(-4)? 2 Let a(j) = 5*j**2 - 2*j**2 + 10*j + 6*j**2 - j**3 + 13. What are the prime factors of a(10)? 13 Suppose -36 = 4*h - 148. List the prime factors of h. 2, 7 Let g(l) = 10*l**2 - l. Suppose -w - 2*w + 3 = 0. Let n be g(w). Suppose -31 = -4*u + n. What are the prime factors of u? 2, 5 Suppose 0 = -2*f - 4*t - 2 - 14, 5*f - 25 = 3*t. Suppose f*x + 2*x = 16. What are the prime factors of x? 2 Let a(v) = -3 + 6*v**2 + 3*v**3 - 2*v**3 + 9. Let p be a(-6). What are the prime factors of (2/1)/(p/21)? 7 Suppose 0 = -4*d + d + 183. List the prime factors of d. 61 Let y = -49 - -115. List the prime factors of y. 2, 3, 11 Let n(t) = -t**3 - t**2 - t + 92. Let f be n(0). Suppose 5*k + 0*k + 2*a - f = 0, -5*k + 88 = 3*a. What are the prime factors of (-8)/k*(-30 + 0)? 2, 3 Let r(q) = -q**2 - 16*q - 2. What are the prime factors of r(-14)? 2, 13 Suppose 5*w - 21 - 109 = 0. List the prime factors of w. 2, 13 Let p be 2 + 1 + -2 + 3. What are the prime factors of ((-3)/5)/(p/(-20))? 3 Let q = -5 - -7. Suppose 0 = n + q*x - 2, 2*x + 6 - 2 = 2*n. What are the prime factors of n? 2 Let h(r) = r + 5. Let v be h(0). Let z(b) = -b**3 + 6*b**2 - 3*b - 4. List the prime factors of z(v). 2, 3 Let m(j) = -2*j + 1. Let l be m(-2). Suppose l*h - 53 = 17. What are the prime factors of h? 2, 7 Let a = 14 - 39. Let n be (-10)/a - (-16)/10. Suppose -n*u - 9 - 7 = -z, -u - 62 = -5*z. What are the prime factors of z? 2, 3 Suppose -3*v = -5*n + 5 - 1, 2*v = 5*n - 1. Let z be 0/n + -1 + 1. Suppose -5*c + 0*c + 3*o + 12 = z, c = o + 2. What are the prime factors of c? 3 Suppose -3*n - 2*n = 0. Suppose 2*o - 2 - 8 = n. Suppose 0 = -5*a + x + 43, o = -a + 2*a + x. What are the prime factors of a? 2 Let i = 6 - 1. Suppose 2*p - 3*p + 3 = d, i*d = -p + 11. Let o = p - -13. What are the prime factors of o? 2, 7 Let a(d) be the first derivative of d**4/4 + d**3 - 3*d**2 - d + 2. List the prime factors of a(-4). 7 Suppose 0*h = -5*h + 25. Let i be (h + -1)*(4 + -1). Suppose -3*q - i = -4*q. List the prime factors of q. 2, 3 Suppose 4*j + 17 = 913. List the prime factors of j. 2, 7 Let g = 301 - 171. List the prime factors of g. 2, 5, 13 Suppose -2*l + 5*l = -4*r + 8, r = -2*l - 3. Let d(v) = -v**3
{ "pile_set_name": "DM Mathematics" }
= 0. Let f = m - -75. What is f rounded to the nearest ten? 30 Let h = 952.0931 - 953.1. Let k = 0.1701 - h. What is k rounded to 1 decimal place? 1.2 Let l(i) = -956*i**2 - 2*i - 16. Let r be l(-13). Let s = r - -851554. Round s to the nearest 100000. 700000 Let g = -167.234 + 167. Let t = g + -2.056. Let b = t + 0.71. What is b rounded to one decimal place? -1.6 Suppose 19 = -2*v + 7*v + n, 4*v - n - 8 = 0. Suppose -3*w - 742027 = 4*y + 6537988, 0 = -v*y - 5*w - 5460025. What is y rounded to the nearest 1000000? -2000000 Let r(w) = 1002*w**2 + 13*w - 14. Let d be r(-26). What is d rounded to the nearest one hundred thousand? 700000 Let a = -0.027298995 - -0.0273. Round a to 7 decimal places. 0.000001 Let s(y) = 7*y + 0*y + 24 - 4*y + 8*y + 585*y**2. Let a be s(14). Let g = a - 202838. Round g to the nearest ten thousand. -90000 Let l = 532.973 - -15.867. Let h = -558 + l. Let k = h + 9. Round k to 1 decimal place. -0.2 Suppose -56*y + 164190 = 9*y. What is y rounded to the nearest 1000? 3000 Suppose 0 = -2*s - 91 - 109. Let w = s + 170. What is w rounded to the nearest 100? 100 Let t = -75 + 5. Let a be (-240)/t + (-6)/14. Let n be (-2589)/a + 1 + 2. Round n to the nearest 100. -900 Let s = 4 - 3. Let x be (s - -1549)*(-680)/(-17). Round x to the nearest 10000. 60000 Let u = 101.28 - 456.8. Let v = u - -362. Let k = v + -0.68. What is k rounded to 0 decimal places? 6 Let q = -3.788 + 3.9. Let t = 0.11200079 - q. Round t to seven dps. 0.0000008 Let r = 172 + -171.9978. Round r to three dps. 0.002 Let o(m) = -2484*m**3 - 2*m**2 + 2*m. Suppose -2*t + 3*t - 2*h - 52 = 0, 4*t - 5*h = 211. Let l be 1/(-2) + t/12. Let f be o(l). Round f to the nearest 10000. -160000 Let v = -87.79 - -88. Let i = v - 0.2214. Round i to 3 dps. -0.011 Let s = -2035.49727677 + 2153.8527767. Let r = s - 128.3554999. Let b = 10 + r. What is b rounded to seven dps? 0 Let a = 80615.70094 + -80608.1. Let x = a - 7.6. Round x to 4 dps. 0.0009 Let y = 4076 - 4075.9993151. Round y to 5 decimal places. 0.00068 Let v = 0.028 + -0.01. Let r = 0.0295 - v. Round r to three dps. 0.012 Let p = -9.1823 + 0.1123. Let v = p + 9. Let l = v - -0.069992. Round l to five decimal places. -0.00001 Let d = 0.34 - 0.47. Let s = d + -5.37. Let a = s + 5.50000122. Round a to 7 dps. 0.0000012 Suppose -n = -4*a + 4, -a - a - 2*n = -2. Let m be a/4 - (-352786)/56. Round m to the nearest 1000. 6000 Suppose 2*i = -2*v + 68, 5*i + 134 = 2*v + v. Let a = 50 + v. Suppose 5*c = -277 - a. Round c to the nearest ten. -70 Let w = 246.1005 - 246. Round w to two dps. 0.1 Let f be -2*((-3)/(-1))/(-6). Suppose f + 3 = -2*y, 163450 = 2*k - 3*y. Suppose -4*l - p - 134273 = k, -4*l - 5*p = 215975. Round l to the nearest ten thousand. -50000 Let u be (-1)/(-1 - (-12)/16). Suppose -4*g = -u*x - 9200012, -2*g + x + 86449 = -4513554. Round g to the nearest one hundred thousand. 2300000 Let x = 3 + 0. Let y be 34/(-6) - -5 - 28/(-6). Suppose 0 = -2*f, r - 15800 = x*r + y*f. Round r to the nearest one thousand. -8000 Let n = 40 + -40.17. Let y = 70.47 + -71. Let v = n - y. Round v to 1 decimal place. 0.4 Let m = -125 + 297. Let b = m - 102. Let v = b + -68.76. What is v rounded to one decimal place? 1.2 Let c = 149.976702 - 10.974482. Let n = -139 + c. What is n rounded to four dps? 0.0022 Let r = -3531722 - -5381722. What is r rounded to the nearest 100000? 1900000 Let v = 159844930940.982519011 - 159844930849. Let m = v + 0.017679989. Let o = 92 - m. Round o to five decimal places. -0.0002 Let m(t) = -2*t**2 - t. Let l be m(2). Let b = l - -12. Suppose -5*a + 71000010 = 3*v + b*v, 0 = -5*a + v + 70999998. What is a rounded to the nearest 1000000? 14000000 Let m = -7 - -7.0001425. Round m to 5 decimal places. 0.00014 Suppose -27 = -c + 2*o, 0*c + 3*o + 28 = c. Let b be 15/c + (-8)/(-20). Round b to one decimal place. 1 Let h = 405.09944 + -404.9. Let a = -81 + 81.2. Let n = a - h. Round n to four dps. 0.0006 Let q(h) = 1358*h + 6. Suppose 0 = -5*l + j + 12, -7*l + 2*j + 9 = -2*l. Let f be q(l). What is f rounded to the nearest one thousand? 4000 Let i = -1329 + 1328.997228. What is i rounded to four decimal places? -0.0028 Suppose 11*i = 9*i + 4. Suppose c + p = 15, i*c + 2*c + 3*p = 60. Suppose -24000 = c*a - 13*a. Round a to the nearest 10000. -10000 Let c = 15.300000619 - 15.3. Round c to 7 dps. 0.0000006 Let t(c) = 396*c**2 - 24*c + 8. Let b be (0 + 0)*8/(-24). Let o = b - -16. Let g be t(o). What is g rounded to the nearest 10000? 100000 Let a = 2335 + -8675. Round a to the nearest 1000. -6000 Let s = -6.24 - 1.66. Round s to 0 decimal places. -8 Let m = -2 - -5. Let i be m/1 - 0 - -379997. Round i to the nearest 100000. 400000 Let m = 0.49 - 0.5249. Let f = 321.0349 + m. Let l = f - 319.13. What is l rounded to one dp? 1.9 Let t = 3922 + -3939.801. Let r = t - -17.7. Let b = -0.0951 - r. What is b rounded to 3 decimal places? 0.006 Let h = 199 + -199.174. What is h rounded to 2 decimal places? -0.17 Let o = 1452.9411 - 1453. What is o rounded to two dps? -0.06 Let n = -52.096 + 1.446. What is n rounded to the nearest 10? -50 Let m = 2049 - 2038.91. Let c = 0.09 - m. Let f = 10.00000024 + c. What is f rounded to 7 decimal places? 0.0000002 Suppose -6*a + a + 29587 = 4*i, -2*i - 3*a = -14791. Let k = i - 15303. What is k rounded to the nearest one thousand? -8000 Let x = 218 - 218.00357. Round x to 4 decimal places. -0.0036 Let u = -1212 + 1211.99107. Round u to two dps. -0.01 Let c be 54/21 - 21/(-49). Suppose -5*k + 4*x + 4 = -c, 0 = x - 2. Suppose 811237 + 388763 = -k*d. What is d rounded to the nearest 100000? -400000 Let u = 107.2 + -107.199997907. What is u rounded to six dps? 0.000002 Let q be 1 + (-4 - -2) - -3. Let c be (1/q)/(7/280). Suppose -c*g = -21*g - 2500000. Round g to the nearest one million. -3000000 Let r(q) = 23999992*q. Let j be r(1). Suppose 5*b - 3*y = -y - j, 4*b + 19199984 = 4*y. Round b to the nearest one million. -5000000 Let w(v) = v**2 + 9*v + 10. Let m be w(-7). Let j be (1/2)/((-6)/24). Let s be (j - 1318/m)*-4. Round s to the nearest one hundred. -1300 Let t(z) = -440002*z - 6. Let r = 2 + -5. Let h be t(r). Round h to the nearest one hundred thousand. 1300000 Let b = 0.13 + 41.87. Let r = 457035 - 456992.99942. Let f = r - b. Round f to four dps. 0.0006 Let l = -117.231 - -0.231. Let f = -116.99946 - l. Round f to 4 decimal places. 0.0005 Let s = -0.429 - -0.4290361. What is s rounded to six decimal places? 0.000036 Let t = -10.99 - -11. Let o = -10.01 + t. Let k = o + 11.05. What is k rounded to one decimal place? 1.1 Let c = 0.74 - 0.638. Let z = -0.023 + c. Round z to two decimal places. 0.08 Let w = 0.7079 - 1174.3079. What is w rounded to the nearest ten? -1170 Let k(y) = -y - 3. Let w be k(2). Let t(q) = q**3 + 6*q**2. Let u be t(w). Suppose u = -d + 68. What is d rounded to the nearest 10? 40 Let c = -20.968 + -0.032. Let l = 21.3 + c. Let p = l + -0.3001. What is p rounded to 3 dps? 0 Let k = -29.1767 - -9.7814. Let p = 0.5897 - k. Let s = -20 + p. Round s to 2 decimal places. -0.02 Let t = 0 - -13. Let o = 1427.198 - 1414.19818. Let q = o - t. What is q rounded to 4 decimal places? -0.0002 Let s = -2.4 - 96.6. Let t = -0.92730475 - -99.92721075. Let a = s + t. Round a to five dps. -0.00009 Let u(w) = -22399*w**2 + 7*w + 10. Let v be u(-5). Round v to the nearest 1000000. -1000000 Let q = 2607.950263 - 2757.1546479. Let m = q + 0.1910849. Let o = -149 - m. Round o to 3 dps. 0.013 Let m = -7.71 - -6.866. What is m rounded to one decimal place? -0.8 Suppose 40800 = 30*m - 35*m. What is m rounded to the nearest 1000? -8000 Let z = -68175372920 + 68175831546.999984. Let p = z - 458624. Let d = -3 + p. What is d rounded to 5 dps? -0.00002 Let k = 709.1 + -773. Let u = k - -58. Round u to the nearest integer. -6 Let x = -0.1697 - -2.5297. Round x to 2 decimal places. 2.36 Let f = -0.49 - 1.35. Let a = -2 - f. Let x = a + 0.36. Round x to one dp. 0.2 Let o = -31 + 42. Let n(u) = o*u**2 - 64 + 296*u**3 + 64 - 20*u - 59*u**3. Let f be n(20). What is f rounded to the nearest 100000? 1900000 Let d = 60.02584 + 0.08416. What is d rounded to the nearest 10? 60 Let t = -156.018 - -156. What is t rounded to 2 dps? -0.02 Let g = 28415500 - 28415503.0000027. Let k = -7 - -4. Let f = g
{ "pile_set_name": "DM Mathematics" }
rom 1466.8855. 15210182.8855 What is the distance between 9111.167 and 94600? 85488.833 9734.03208178 - 0.2 9733.83208178 What is the distance between -0.28 and -32765524583? 32765524582.72 What is the distance between -143608654002 and 271? 143608654273 What is the distance between -0.02455083832 and 2301? 2301.02455083832 Sum 349361 and -1.2792649. 349359.7207351 Add -260273124 and -1678. -260274802 What is 5.471922251 less than -71? -76.471922251 Subtract -0.03 from -0.0644502065735. -0.0344502065735 7087325+60818742 67906067 What is 3.89744 plus 18.83695961? 22.73439961 What is -0.22 - 0.241757234? -0.461757234 24126860.42 - -0.347 24126860.767 What is 0 less than 864408200772? 864408200772 Add 16.545718976 and -0.0513. 16.494418976 What is 11.6 + 77071896.037? 77071907.637 What is -922132562.755 + -0.14? -922132562.895 What is the distance between 63573898962377 and -6? 63573898962383 Subtract 9327 from 2.3794733543. -9324.6205266457 What is 698108223 less than 0.5008? -698108222.4992 Add 389597429 and -193. 389597236 Add 248 and -38511407772. -38511407524 Put together 268664962689 and 3. 268664962692 Put together -1044 and -85728.932. -86772.932 -0.037000046 - 26457.18 -26457.217000046 Work out 1.438090862 - 283431. -283429.561909138 Calculate 2247437973 + -422. 2247437551 Work out -0.019433 - -813442067. 813442066.980567 What is 3 less than -10556.783111728? -10559.783111728 Add -19.493332419 and -106. -125.493332419 What is the distance between 203.118331 and -36433? 36636.118331 Calculate -1097542 + -489992455. -491089997 What is the distance between 723.87755 and 13309? 12585.12245 Add -1642000.932816 and 0.1. -1642000.832816 Add -2408736363292 and 2.4. -2408736363289.6 What is -307170.558 minus 505? -307675.558 Calculate -0.078916004 - -1919086. 1919085.921083996 What is the difference between 271051805.56 and 0.049? 271051805.511 782147385269 + -0.5 782147385268.5 Add together 37035853 and -1904. 37033949 Work out 0.00433 - 3275.66847. -3275.66414 Calculate -463935.99 + 476.7. -463459.29 What is the difference between 3825196.71 and -456? 3825652.71 What is 8.5140108395 less than 0.4? -8.1140108395 What is 968 minus -9082.4735328? 10050.4735328 What is 656731556 take away -5903? 656737459 What is the difference between 68507576755986.9 and 3? 68507576755983.9 Total of -10168994 and 9784. -10159210 Total of 43227916931 and 5. 43227916936 Total of 19 and 3772098.01091. 3772117.01091 Calculate 115.762 + -57685816. -57685700.238 Work out 0.1 + -237.6127842517. -237.5127842517 Put together 11238 and -102132633. -102121395 Add together 4445380752 and 287.7. 4445381039.7 What is 0.03967 minus 25735521320? -25735521319.96033 What is -108740074982 take away -133? -108740074849 Add 443514 and 6932754. 7376268 What is -2165.7811042746 plus -0.5? -2166.2811042746 What is the distance between -1958212275 and 36? 1958212311 What is the difference between -1201071147077 and 130? 1201071147207 -38.696271 + 0.2373 -38.458971 14725568.27409+78 14725646.27409 Work out -2553018368 + -7656. -2553026024 What is -1.16500244741 minus 1.14? -2.30500244741 -10999742879803 + -5 -10999742879808 What is -118081584549024 minus -0.3? -118081584549023.7 Calculate -35 - -188.462551461. 153.462551461 -40.7130591+53247 53206.2869409 Work out 40734.4 + -4909899.1. -4869164.7 -60516637.5268+5 -60516632.5268 What is -993.30818776 take away -7? -986.30818776 Subtract -39.002 from 4985.955. 5024.957 Add together -0.20221 and 48062593. 48062592.79779 What is 5735.9909217 less than -35? -5770.9909217 Subtract 45041607247 from -0.125. -45041607247.125 What is 11.18 - -639081465? 639081476.18 420462412828832+-0.3 420462412828831.7 Sum -111279 and 400522.31. 289243.31 What is -19116.53767403 take away 0.9? -19117.43767403 What is -1429801546353 plus 0.14? -1429801546352.86 What is 0.016 + 863410512? 863410512.016 Calculate 1336 - -59.53442988. 1395.53442988 Work out 2241445290664 - 2. 2241445290662 2 - -1166511812779 1166511812781 Add -0.713 and -254222314. -254222314.713 Work out -2.3 - 3461007753458. -3461007753460.3 What is 6 less than -16457312890424? -16457312890430 Add -0.02 and 54058870114. 54058870113.98 What is 14673.6036114 plus -222? 14451.6036114 What is the difference between -101.716249543838 and 0.1? 101.816249543838 Add -11582313606157 and -14.3. -11582313606171.3 Calculate 27299 - 2.23274655. 27296.76725345 What is the difference between -0.5 and 699152.74811? 699153.24811 -0.7605+-21837846 -21837846.7605 1.925020304 - -154 155.925020304 Add together -1265560821479 and 3. -1265560821476 Put together -227409.26 and 1604549. 1377139.74 Add 5 and -4475704989766. -4475704989761 Calculate 4.6925 - -969.11982. 973.81232 Work out -20 - -432482463233. 432482463213 What is 2 - -36723570017? 36723570019 -1299.40712601+-5 -1304.40712601 Total of 0.010248 and 0.02106032. 0.03130832 What is 2.9 minus -3474935.24402? 3474938.14402 Add -8363997.3258 and -0.1. -8363997.4258 8768.0414 - -45106.2 53874.2414 What is 0.1 less than 9758830183861? 9758830183860.9 Calculate -23259.0973 - 192. -23451.0973 What is -15 + -14739.71959826? -14754.71959826 Total of -27930644130.1 and 0.8. -27930644129.3 What is -483961 less than -431207? 52754 What is the distance between -67313249 and 0.357? 67313249.357 Work out -35608415865 - 28. -35608415893 Calculate -4 + -21896.622923087. -21900.622923087 What is 30978 plus 1418008? 1448986 What is 13 - -3611758840? 3611758853 Put together 3683366960 and -2559. 3683364401 Add together -0.059 and -895674877. -895674877.059 Work out 17.531 - -57835373. 57835390.531 What is 0.1742 minus -26621275? 26621275.1742 Work out -41.27964 - -1.16979. -40.10985 Work out 70895931 + 1519. 70897450 -38673 + -38.835709 -38711.835709 -53.4624+0.0779089 -53.3844911 Add -0.2 and -64882615. -64882615.2 What is the difference between -6730.527655 and -32? 6698.527655 What is 15994843202811 - 0? 15994843202811 Total of 9054.917141466 and -0.4. 9054.517141466 Subtract 15253712.492 from -22. -15253734.492 What is 21698564821 minus 177? 21698564644 Work out 119406187 + -0.23634. 119406186.76366 Sum -16540747 and -12000.027. -16552747.027 275205658 + -5.387 275205652.613 -7 + 277207047486 277207047479 Sum 1599160 and -179804471. -178205311 What is 73 minus 40486665068? -40486664995 Subtract 0.46311 from 85846829. 85846828.53689 Sum -29 and 148721541761.1. 148721541732.1 What is -538 - 34.05072153? -572.05072153 Sum 5 and 234071533803. 234071533808 What is the distance between -0.05 and -70567800.58? 70567800.53 What is 1 take away 18228.96558438? -18227.96558438 1640.5508 + -24839.44 -23198.8892 What is the difference between -27.850024 and -11.135? 16.715024 707328086936 - 0.4 707328086935.6 What is 3.619 - 99110.649893? -99107.030893 Work out 38283811.314034 - 0.1. 38283811.214034 What is 213587681 less than -67909? -213655590 0.6301 + -1132.7206 -1132.0905 What is the distance between 52 and -15385647262? 15385647314 Put together 0 and 268920754917.1. 268920754917.1 Subtract -147.292248085 from -0.01. 147.282248085 -0.2185 - 4194.8477 -4195.0662 Calculate 0.0564 + 6577.1131. 6577.1695 353960.9197 - 25440 328520.9197 What is -0.4808 take away -9.2754025? 8.7946025 What is 107 less than -2422.047440483? -2529.047440483 Subtract -4 from 104772645498. 104772645502 Work out -1.3 + -2672610453835. -2672610453836.3 Calculate -4 + -172569478159. -172569478163 10.928765236 + -2 8.928765236 What is 694379140 take away -0.0525402? 694379140.0525402 What is the difference between 1724679 and 291.13816? 1724387.86184 What is -1.902 take away 0.3482708? -2.2502708 Add -18913468 and 50.659. -18913417.341 -0.68303 - -0.0193206 -0.6637094 Subtract -133.5 from 3493147.49483. 3493280.99483 What is -6464751154 take away 76535? -6464827689 What is -13649722.7257195 less than 5? 13649727.7257195 What is -9146525.11312 + -3? -9146528.11312 Calculate 17675403685930 + 4. 17675403685934 What is -1975.26 minus 474684.42? -476659.68 Add 263 and -118272186359. -118272186096 Total of -4440 and -143322110. -143326550 Calculate 5 - -29334218828. 29334218833 Add together 0.0091 and 2253907294. 2253907294.0091 Sum 31454.5921 and 5.6027. 31460.1948 Calculate -5 - 1289727402.95. -1289727407.95 What is
{ "pile_set_name": "DM Mathematics" }
(c) -0.5 (d) -100 (e) -2/5 a Which is the sixth biggest value? (a) -1 (b) 442 (c) -2.1 (d) -4 (e) 1 (f) 4 d What is the fourth smallest value in 48, 1/4, 139271, -3? 139271 Which is the second biggest value? (a) -13/4 (b) 1/3 (c) 1.9652 b Which is the third smallest value? (a) 0.7 (b) -26/9 (c) 3 (d) -2 (e) 123 (f) -0.3 f Which is the second smallest value? (a) 0.05 (b) -223 (c) -545 b What is the third biggest value in -3/5, 18, 3/8, 3, 5549, -1? 3 What is the fourth biggest value in 1.519, 2/3, 0.3, -26/15, -5? -26/15 What is the second biggest value in 1, -51.3, -211.071? -51.3 What is the third smallest value in -45/4, 365, 3048? 3048 What is the fifth biggest value in -4, -84, 1, 7, 0.025109? -84 What is the biggest value in -0.3, -2, 7, 1, -0.5, -13/444, -4? 7 Which is the biggest value? (a) -13 (b) -1/10 (c) -700759 (d) 3/10 d Which is the third smallest value? (a) -6 (b) 784 (c) 118.2 b What is the third smallest value in 1/11905219, 1, -14? 1 Which is the second smallest value? (a) 1 (b) 4 (c) -0.33 (d) -215984 c Which is the third smallest value? (a) 171 (b) 0.5 (c) -16727 (d) 1 d What is the fourth smallest value in 5, 7, 3, 2/9, 0.41, -0.0871? 3 What is the seventh biggest value in 0.05, 1/3, -1, -5, 4/3, 36, 1/50? -5 What is the smallest value in -39, 35152/519, -0.3? -39 What is the fourth smallest value in 0, 67, -12976, 1/2? 67 What is the fourth smallest value in 0.5, 9, 165, 45, 29? 45 Which is the second biggest value? (a) -41.6 (b) 1 (c) -4 (d) -0.4 (e) 2/13 (f) 1/3 (g) 302 b Which is the second smallest value? (a) -10905/7 (b) -6 (c) 21 b What is the seventh biggest value in -0.5, 6.2, 0, -6, 1, -0.2, -3? -6 Which is the sixth biggest value? (a) 0.12 (b) 1.8 (c) 0.2 (d) -66/23 (e) 6.2 (f) -5 (g) -4 g Which is the fourth biggest value? (a) -91 (b) 105 (c) 0 (d) -17/5 (e) 0.3 (f) -1 f What is the third smallest value in 412, -1/155412, 3? 412 Which is the biggest value? (a) 3964 (b) -1.3 (c) -225 a What is the seventh biggest value in 0.4, -102.15, -0.2, -330, -1, 4, 1/4? -330 What is the third biggest value in 29.5, 7, 0, -153, 5? 5 Which is the second smallest value? (a) -3/7 (b) 98/3 (c) -5.8 (d) -1 (e) -4 e What is the biggest value in 5/3, 22, -8, 2/27, 14/5? 22 What is the smallest value in -1/4, 1/365, -1/18, 4, 0, 2/51? -1/4 Which is the third biggest value? (a) -0.397 (b) 1/3 (c) -0.2 (d) -15 (e) 5 c What is the third smallest value in -1/9, 0.8, -5, -216, 11? -1/9 Which is the fourth smallest value? (a) 0.132 (b) -0.3 (c) 3/7 (d) 214/23 d Which is the second biggest value? (a) -6 (b) -6/911 (c) -0.11 (d) 4 (e) 2 (f) -0.2 e Which is the biggest value? (a) 267 (b) 0.5 (c) 64/435 a Which is the fourth biggest value? (a) 0.01 (b) -5 (c) 3/254 (d) 5 (e) -16 b What is the third smallest value in -2, 0.4, 0.7, 1350620? 0.7 What is the smallest value in 10/167, 0.1, 1, -4, 7, 20.6, 6? -4 Which is the second biggest value? (a) 2 (b) -2 (c) 3 (d) 13 (e) 0.3 (f) -0.065 (g) 116 d What is the fourth smallest value in -2/3, 1/625, 5, 125, 1? 5 Which is the fifth biggest value? (a) 2 (b) 1 (c) -384 (d) -2/9 (e) 640 c What is the fourth smallest value in 0.1, -91869, -3, 11, -5? 0.1 Which is the fourth smallest value? (a) 2 (b) -2/10947 (c) -6/13 (d) -9 (e) -0.5 b What is the sixth smallest value in 1.2, 1/3, -8, -1, 5, -0.5, -16862.9? 1.2 What is the smallest value in 1, -76219, 4? -76219 Which is the second biggest value? (a) 1/766 (b) 1.9 (c) 1 (d) 1/28 (e) -1 (f) 2/11 (g) -10 c Which is the fourth smallest value? (a) 278 (b) 0.4 (c) 4815 (d) 2 (e) 4 a What is the third biggest value in -3, 0, 3099, 389, 5? 5 What is the second smallest value in -2/7, 1, -58/3, 2/5, 156, 5? -2/7 Which is the fourth smallest value? (a) -9/4 (b) -0.05 (c) 1/3 (d) -0.1 (e) 38925 c What is the sixth biggest value in -1/4, -0.5, -1537, 0.1, 27, 0.2? -1537 What is the third biggest value in -2/6383, 4/11, 432, 2/3? 4/11 Which is the seventh biggest value? (a) -18 (b) -127 (c) -0.6 (d) -1/8 (e) 0.1 (f) -0.01 (g) 2 b Which is the third biggest value? (a) 1 (b) -140 (c) 3 (d) 0.26 (e) 5 (f) 2 f Which is the fourth biggest value? (a) 6/5 (b) -11 (c) 88/9 (d) 6.5 b What is the fourth smallest value in -3628, -97, 0.3, 4/3, 6? 4/3 Which is the second smallest value? (a) 2.4819 (b) -1531 (c) 0 c What is the second smallest value in -49/6, 26645, 1.2? 1.2 Which is the seventh biggest value? (a) -1/92 (b) 0.4 (c) 0.2 (d) 51 (e) -2/5 (f) -1 (g) -4 g What is the third smallest value in 1/2, -3/4, 0.0881, -656, 0, 0.4? 0 Which is the sixth biggest value? (a) -5/6 (b) 57 (c) -1/3 (d) 2 (e) 3 (f) 1/3 a What is the second biggest value in -0.081, -4, 142014? -0.081 Which is the seventh biggest value? (a) 1/3 (b) 0.1 (c) 14/31 (d) -48 (e) 2/13 (f) 0.3 (g) 2 d Which is the fourth smallest value? (a) 2/5 (b) -0.08 (c) 22519/442 (d) -0.2 c Which is the fourth smallest value? (a) 115 (b) -2 (c) 1 (d) 506646 d What is the third smallest value in -13/4, 2/3, 20/9, 5, -0.068, -0.03? -0.03 Which is the third smallest value? (a) -1/2 (b) -686 (c) 253 c Which is the seventh smallest value? (a) 1319 (b) -26 (c) -3/2 (d) -0.5 (e) -0.4 (f) 57 (g) -0.1 a What is the third biggest value in 5, -171366, -0.5, 2, 81, 3, 4/5? 3 Which is the fifth smallest value? (a) 82 (b) -5 (c) 0.4 (d) 99 (e) 0.3 (f) -10 a Which is the fourth smallest value? (a) -49 (b) -1159 (c) 115 (d) 1/9 (e) 0 d What is the third biggest value in -3, 3/14, -2061? -2061 Which is the smallest value? (a) 10 (b) 0.1 (c) -5/6 (d) 0.5 (e) 4875 (f) -2 (g) -0.03 f What is the seventh biggest value in -2, -4/9, -3, 32, 1/8, 100, 0.2? -3 Which is the second biggest value? (a) -0.5 (b) -11.6 (c) -1/3 (d) 0.3 (e) 117.7 (f) -3 d Which is the biggest value? (a) -3 (b) -1/32 (c) -0.3 (d) -0.1 (e) -4/25 (f) -5 b Which is the third biggest value? (a) 1247 (b) -28 (c) -2031 c What is the biggest value in -3, -0.2, 20.3, 4, 10900/3? 10900/3 What is the fifth biggest value in -15, 0.3, -2/7, -0.5, 9/16, 0.2, 0? -2/7 What is the third biggest value in -2/5, 1, 4, -4, 0, 0.2, 99415? 1 What is the second smallest value in -12.619, -1, 193.11? -1 Which is the smallest value? (a) -463989 (b) 0.5 (c) 3/232 a Which is the fourth biggest value? (a) -5/2 (b) 0.1 (c) -4/3 (d) -1.585 (e) -0.073 d Which is the fourth smallest value? (a) -4/7 (b) 0.4 (c) 5 (d) 1/845 (e) -1/3 (f) -27 d Which is the smallest value? (a) 4 (b) -7.444 (c) -0.3 (d) -0.4 (e) -1/11 (f) 0.3 (g) 1/5 b Which is the second smallest value? (a) -18 (b) -2/7 (c) -0.387 (d) 3/13 c What is the third biggest value in -1431, 466, -4/13? -1431 Which is the fourth biggest value? (a) 3 (b) 28 (c) -1/13 (d) -3/11 (e) -23 d What is the sixth smallest value in 2/3, 0, -1/3, 3/7, 3732, -1? 3732 What is the biggest value in -45, -12, -2/13, 5, 22, -1, -2? 22 Which is the third smallest value? (a) 2 (b) 1/14 (c) -5 (d) -2/223911 (e) 0 e Which is the second smallest value? (a) 31/12 (b) -17 (c) -2/927 c What is the third biggest value in -914, 4/3, -1/32, 2, 111? 4/3 Which is the fourth biggest value? (a) -0.0494 (b) -0.02 (c) 0.79 (d) -0.6 (e) -3 (f) 10 a Which is the third biggest value? (a) 1 (b) 154290 (c) 129 (d) -4 a What is the fourth smallest value in -0.3, -2/17, -5, 3/7, -5/12971, -0.01, 0? -0.01 Which is the third biggest value? (a) 9 (b) 7631 (c) -0.8 (d) -4 (e) 4/3 (f) 1 e What is the second biggest value in -4, -8, -1238553? -8 Which is the smallest value? (a) 1 (b) -2433 (c) 0.4 (d) -12/7 (e) -1 b What is the second smallest value in 1, 0.228, -9864? 0.228 Which is the third biggest value? (a) -2/25 (b) -4 (c) -2/5 (d) 2/3 (e) 27 (f) -2/81 (g) -0.9 f What is the third smallest value in -736, -8/5, 2.12, -3, 0.5, -2/9? -8/5 Which is the fourth smallest value? (a) -1 (b) -2389 (c) 4 (d) 0 (e) -3 (f) -37 a Which is the biggest value? (a) 2 (b) -268 (c) 1165 (d) 2/261 c What is the second smallest value in 2/121, 5, 0.3711, 1, -2/13? 2/121 Which is the fifth smallest value? (a) 2 (b) 2/
{ "pile_set_name": "DM Mathematics" }
be 1*(0 - 1) + 8. Suppose 0 = -2*t + u*t. Suppose x + t*p - 23 = -3*p, 4*x = -5*p + 64. List the prime factors of x. 11 Suppose 0 = 2*q - 76 - 4. What are the prime factors of q? 2, 5 Suppose l + 5*s + 23 + 2 = 0, -5*s = -4*l + 25. Suppose l = 3*q - q - 38. List the prime factors of q. 19 Suppose -356 = -5*u + u + 5*v, 4*u - 324 = -3*v. Suppose -3*t = -7*t + u. What are the prime factors of t? 3, 7 Let k(u) = u**3 + 8*u**2 + 5. Let i be k(-8). Suppose 5*l - 10 = i*h, 13 + 19 = l + 5*h. What are the prime factors of l? 7 Let p(v) = 5*v + 38. What are the prime factors of p(26)? 2, 3, 7 Let g = -12 + 56. What are the prime factors of g? 2, 11 Suppose -r = -0*r. Suppose a - 1 - 1 = r. Suppose 3*f = a*v + 43 - 2, 2*f + 5*v = 2. What are the prime factors of f? 11 Let f(w) = -w**2 + 5*w + 2. Let a be f(5). Let o = 37 - a. List the prime factors of o. 5, 7 Let b = 1 - -6. Suppose 31 = 2*x - b. What are the prime factors of x? 19 Suppose 0 = 3*z - 10 - 41. Let p = 37 - z. Suppose -2*g - 4*q = -3*q - 10, 5*g - p = -5*q. What are the prime factors of g? 2, 3 Let j be (3 - 3)*-1*1. List the prime factors of 13 + (2 - 2 - j). 13 Suppose -4*t + 57 - 5 = p, 0 = -4*t + 8. List the prime factors of p. 2, 11 Let h be 2/(-4)*(-25 + 1). Suppose 4*z + h = 108. Let a = -14 + z. What are the prime factors of a? 2, 5 Let g = -134 - -216. What are the prime factors of g? 2, 41 Let h(b) = b**3 - 5*b**2 - 2*b + 3. Let p be h(4). Let u = -7 - p. List the prime factors of u. 2, 7 Let j(r) = -13*r - 1. Let p be j(-1). Suppose -p = -4*g + 2*g. Let n = g - 0. List the prime factors of n. 2, 3 Suppose 3*o - 5*s - 140 = 0, -o = s + s - 43. List the prime factors of o. 3, 5 Suppose -4*a - 140 = -8*a. List the prime factors of a. 5, 7 Suppose 2 = -s - 0*s. Let b be 4 + 1 + -1 + 1. Let h = b + s. List the prime factors of h. 3 Let n = 489 - 234. What are the prime factors of n? 3, 5, 17 Suppose -4*w + 2*w = -8. Suppose 7*k + 12 = 10*k. Suppose -2*h = k*m - 3*h - 49, 0 = -w*m + 5*h + 69. What are the prime factors of m? 11 Suppose 5 = s + 2*g, -3*g = 3*s - 8*s + 90. Let x = s + -9. List the prime factors of x. 2, 3 Let v be (-8)/(-10)*(0 - -5). List the prime factors of (50/(-3))/(v/(-6)). 5 Let w be ((-8)/16)/((-2)/12). Let l = 28 + w. List the prime factors of l. 31 Let f be -1*20/8*-2. Suppose -s + f = -4. What are the prime factors of s? 3 List the prime factors of ((-18)/12)/((15/302)/(-5)). 151 Suppose 5 = k - 9. Let g = 37 - k. List the prime factors of g. 23 Let p(h) be the third derivative of -h**5/60 - 11*h**4/24 - 7*h**3/6 + 3*h**2. List the prime factors of p(-5). 23 Let u = 5 - 2. Suppose u*l = -l. Suppose 4*v + 2*h - 24 = l, 8*v = 3*v + 5*h + 60. List the prime factors of v. 2 Suppose -5*s = -2*s - 6. Suppose -14 = -s*i - 0*i. List the prime factors of i. 7 Suppose -4*u + 20 - 8 = 0. Suppose 3*s = s + 10. Suppose -t + s*f - 6 = -24, 9 = -u*f. What are the prime factors of t? 3 Let t(x) = x**3 + 5*x**2 + 6. Let d be t(-5). Let z be 5/((-45)/d)*3. List the prime factors of (z + 1)/((-3)/15). 5 Let v = 1 + 59. List the prime factors of v. 2, 3, 5 Suppose y - 2 = -0*y. What are the prime factors of y? 2 Let l = 15 + -9. Let p be 5/((-15)/6)*(-4)/(-8). List the prime factors of (-3)/l*26/p. 13 Let x = 5 - 2. Let k be 1 - x/3*3. What are the prime factors of 9 - k/2*0? 3 Suppose 0 = -2*h + 4*m - 14, 3*h - m - 4 = -0*h. Suppose -h*c + 89 = 4*k, 0 = k + c - 15 - 6. What are the prime factors of k? 2, 13 Let l = 35 - 21. Let f(d) = d + 9. Let k be f(-5). Let h = l - k. What are the prime factors of h? 2, 5 Let r(f) = f**3 - 2*f**2 - f + 1. Let m be r(2). Let k be (16/12)/(m/9). What are the prime factors of 18/8 + 3/k? 2 Let w(a) = 6*a**3 - 2*a**2 - 9*a + 3. List the prime factors of w(4). 11, 29 Let y(j) = -j + 2*j + 23*j**2 + 3 - 3*j - 2. List the prime factors of y(1). 2, 11 Suppose j - 4*h + 19 = 0, -2*j - h - 4*h + 14 = 0. Suppose -y = -5*m - 10, 5*m - 3*m = y - 4. What are the prime factors of (-27)/j*m/(-2)? 3 Let k = 2 - 4. Let z(r) = r**3 - r**3 - 3*r**2 + 2*r**3 - 5*r**3. List the prime factors of z(k). 2, 3 List the prime factors of (3/(-2))/(3/(-68))*2. 2, 17 Suppose 0*i = 3*i - 9. Suppose -2*q + i + 39 = 0. What are the prime factors of q? 3, 7 Suppose -9*v - 605 + 1865 = 0. What are the prime factors of v? 2, 5, 7 Suppose 85 = 2*f - 69. What are the prime factors of f? 7, 11 Let q(j) = j**2 + 5*j - 10. Let f be q(-7). Let y be (-2)/(-4)*(f - 2). Let k(d) = 2*d. List the prime factors of k(y). 2 Suppose -19*r + 444 = -17*r. List the prime factors of r. 2, 3, 37 Suppose -6*t + t = 0. Suppose 3*r - 7 = -2*i + 15, -i - 2*r + 12 = t. List the prime factors of i. 2 Let g = 2 - -10. What are the prime factors of g? 2, 3 Let r(g) = -g**2 + 6*g + 12. Let d be r(9). Let f = 33 + d. Let s = f - 11. What are the prime factors of s? 7 Let q(p) = p**3 - 4*p**2 - p - 11. What are the prime factors of q(5)? 3 Let r(y) be the third derivative of -y**5/60 - 5*y**4/24 + 2*y**3/3 - 2*y**2. What are the prime factors of r(-4)? 2 Suppose v + 4*v + 2*x - 185 = 0, -2*x = 3*v - 115. Let d = v - -18. List the prime factors of d. 53 Suppose -2*c = 31 - 115. What are the prime factors of c? 2, 3, 7 Let w(i) = -5*i - 4. List the prime factors of w(-4). 2 Let s(g) = -130*g**3 + 5*g + 4. List the prime factors of s(-1). 3, 43 Let n = -28 + 76. List the prime factors of n. 2, 3 Suppose 12*q = 9*q + 297. List the prime factors of q. 3, 11 Let b(d) = -2*d**2 + 30*d + 28. List the prime factors of b(15). 2, 7 What are the prime factors of ((-1862)/21)/(8/(-12))? 7, 19 Let x(u) = -u**3 - 5*u**2 - 6*u - 7. List the prime factors of x(-5). 23 Suppose z = -4*z + 135. What are the prime factors of z? 3 Suppose 5*u + 32 = 5*r - 9*r, 0 = 4*u - 2*r + 36. Let b = 4 - u. List the prime factors of b. 2, 3 Let w be -1 + 0 - (3 - 3). What are the prime factors of (w - 0)/(3/(-63))? 3, 7 Let m = 13 - 14. List the prime factors of (-12)/12 + 31 + m. 29 Let v(f) = f**3 - 8*f**2 - 2*f + 8. Let z be v(8). Let r be (-27)/2*z/12. Let c = r + -4. List the prime factors of c. 5 Let h = -16 + 21. Let t be 15 + (1 - 2) + 1. Suppose -h*q + 0 + t = 0. List the prime factors of q. 3 Let t = 128 - 90. Suppose 4*w + 43 = 3*s, t = -s + 3*s + 2*w. List the prime factors of s. 17 Let u(j) = j - 2*j**2 + 0*j**2 + 3*j**3 - 4*j**3 - 3. Suppose 0 = -m + 3*h - 18, 2*h + 7 - 2 = -5*m. List the prime factors of u(m). 3 Let w(h) = -h**3 - h**2 + 2*h**2 + h**2 - h + 2*h**3. Let t be w(-2). What are the prime factors of -1*t - 10/(-2)? 3 Suppose -3*m + 27 = 4*w - 0*m, 25 = 5*w - 5*m. Let q(p) = 2*p**2 - 4*p - 5. Let a be q(5). Suppose -w*z + a = -z. List the prime factors of z. 5 Suppose g - 5*h - 33 = 0, -g + 0*h + 24 = 4*h. List the prime factors of g. 2, 7 Let h be (-7)/1*(-1 + 0). Let f(i) = 3*i - 1. Let d be f(-2). What are the prime factors of h/2*(d - -11)? 2, 7 Suppose 2*w - 2 + 14 = 0. List the prime factors of 6/(-2) - 180/w. 3 Suppose -5*d + 25 = 0, -d = 3*s - 4*d + 66. What are the prime factors of 2*(-3)/6*s? 17 Let y be (-20)/4 - (-1)/1. Let z(g) = -2*g - 2. Let s be z(y). List the prime factors of ((-52)/(-6))/(4/s). 13 Let g be (-4)/6*3/1. What are the prime factors of 36/4 + 0/g? 3 Let g(q) = 4*q**2 + 4*q + 1. Let h be g(2). Let z = h + -12. What are the prime factors of z? 13 Let z(n) = -2*n - 6. Let b = 8 - 15. What are the prime factors of z(b)? 2 Let d = -143 - -263. List the prime factors of d. 2, 3, 5 Suppose -2*u + 4*u = 12. Suppose -4*z - 2 - u = 0. Let q = 7 + z. List the prime factors of q. 5 Suppose -5*s + 4*s - 4*t = 11, -3*s = 3*t + 15. List the prime factors of 18/12*(-32)/s. 2 Let b = 12 + -28. Let h = b + 53. List the prime factors of h. 37 Let f(b) = b**3 - 8*b**2 + 9*b - 11. Let d be f(8). Let c = d - 21. What are the prime factors of c? 2, 5 Let p(d) = d. Let y be p(6). Let o be 94/6 - 4/y. What are the prime factors of o/(-2)*12/(-10)? 3 Let h(n) = 2*n**3 + 2*n**2 - 5*n - 4. Let a be h(-3). Let d = 0 - a. What are the prime factors of d? 5 Let a = -14 - -22. Let l = a - -25. List the prime factors of l. 3, 11 Let s = -12 - -12. Suppose b = -s*b - 2*m + 16, 4*b - 3*m = 9. What are the prime factors of b? 2, 3 Suppose 3*z - 2 = 7. Suppose 4 + 8 = z*o. List the prime factors of o. 2 Let r be (0 -
{ "pile_set_name": "DM Mathematics" }
*2 + 3*y + 2. Let b be c(-4). Let a(p) = 6 - 9 - 1117*p + 1118*p. Let h(z) = -z + 5. Give b*h(j) + 10*a(j). 4*j Let h(r) be the third derivative of 5*r**4/24 - 5*r**3/2 + r**2. Let p(o) = 1. Suppose 17*s + 5 = -4*u + 18*s, -s = -1. Determine u*h(i) - 15*p(i). -5*i Let b(c) = 54*c - 2. Let x(t) = -52*t + 1. Give -5*b(d) - 6*x(d). 42*d + 4 Let n(b) = 17*b + 5. Let l(c) = 29*c + 5. Let w(m) = -30*m - 4. Let f(u) = -4*l(u) - 3*w(u). Give 5*f(x) + 8*n(x). 6*x Let j(u) = -2*u + 1. Let z(n) = n**2 + 5*n - 7. Let c be z(-7). Let r = c - -6. Let f = 10 - r. Let b(q) = 2*q - 1. Determine f*j(h) - 4*b(h). -2*h + 1 Let l(i) = -i - 3*i + 3*i + 2. Let p(y) be the second derivative of -y**3/6 + y**2 - 4*y. Calculate 2*l(w) - 3*p(w). w - 2 Let i(u) be the first derivative of -9*u**4/4 - 2*u**3 + 3*u**2 - 6*u - 3. Let a(m) = 6*m - 16 - 13*m**2 + 3 + 0*m - 19*m**3 + 7*m. Give -6*a(b) + 13*i(b). -3*b**3 Let y(a) be the third derivative of a**5/6 + a**4/6 - a**3/6 - 54*a**2. Let g(n) = 20*n**2 + 9*n - 2. Give -4*g(k) + 9*y(k). 10*k**2 - 1 Let t(r) = -r - 1. Let i(g) = 37*g + 4. What is -i(l) - 3*t(l)? -34*l - 1 Let v(u) = -4*u**3 + 3*u - 2. Let h(b) = 3*b**3 - 2*b + 1. Suppose -j = 4*m + 20 - 8, 5*j + 16 = 2*m. Give m*v(z) - 3*h(z). -z**3 + 1 Let u(g) = 6*g**2 + 116*g + 8. Let y(t) = 13*t**2 + 232*t + 18. Give 9*u(l) - 4*y(l). 2*l**2 + 116*l Let z(s) = 5*s**2 - 6*s - 6. Let x(k) be the second derivative of -k**4/12 + k**3/6 + k**2/2 + 41*k. Determine 6*x(g) + z(g). -g**2 Let q(b) = -6*b**2 - 55*b - 5. Let u(v) = 5*v**2 + 54*v + 4. Give -6*q(l) - 7*u(l). l**2 - 48*l + 2 Let a(o) = -22*o**3 + 32*o**2 + 5*o. Let d(m) = -33*m**3 + 47*m**2 + 8*m. Give 8*a(l) - 5*d(l). -11*l**3 + 21*l**2 Let k(b) = -19*b - 79. Let y be k(-4). Let z(p) = 14*p**2 - p + 4. Let j(w) = -13*w**2 + w - 3. What is y*z(o) - 4*j(o)? 10*o**2 - o Let a(f) = -31*f - 9. Let i(y) = 31*y + 7. Calculate -3*a(l) - 4*i(l). -31*l - 1 Let h(z) = z**3 + 5*z**2 + 2*z + 3. Let y be h(-5). Let f(b) = b - 2. Let w(q) = -4*q**2 - 215*q + 3*q**2 + 218*q - 7. Give y*f(j) + 2*w(j). -2*j**2 - j Let f(w) = -10*w**3 + 2*w**2 + 4*w - 12. Let z(g) = 13*g**3 - 3*g**2 - 5*g + 11. Calculate -5*f(n) - 4*z(n). -2*n**3 + 2*n**2 + 16 Let a(o) = 39*o**3 + o**2 + 3*o - 2. Let l(z) = -z**2 - z. Determine a(i) + 3*l(i). 39*i**3 - 2*i**2 - 2 Let u(s) = -10*s + 5. Suppose -4*x + 8 = -20. Let t(r) be the first derivative of 15*r**2/2 - 7*r + 71. Calculate x*u(f) + 5*t(f). 5*f Suppose 0*k - 4*k - 4*y - 8 = 0, -3*y - 30 = -5*k. Let h(s) = 3*s**3 + 3*s**2 - 3*s. Let m(a) = -3*a**3 - 4*a**2 + 4*a. Determine k*m(g) + 4*h(g). 3*g**3 Let f(w) = 3*w**3 - 6*w - 2. Let a(k) be the third derivative of -k**6/30 + 7*k**4/24 + k**3/3 - 385*k**2. Give -5*a(s) - 6*f(s). 2*s**3 + s + 2 Let k(h) = -h**2 + 5*h + 5. Suppose 5*c = 3*y + c + 26, -2*y + c = 19. Let z(o) be the second derivative of -1/2*o**2 + o - 1/6*o**3 + 0. Give y*z(p) - 2*k(p). 2*p**2 Let j(a) = -6*a + 2*a**3 + 2*a - 2*a + 84*a**2 - 5 - 80*a**2 + 1. Let s(u) = u**2 - u - 1. What is j(c) - 4*s(c)? 2*c**3 - 2*c Let c(w) = -8729*w**3 - 174*w**2 + 174*w + 87. Let f(d) = -203*d**3 - 4*d**2 + 4*d + 2. Determine -4*c(h) + 174*f(h). -406*h**3 Let z(q) = 6*q**3 + q**2 - 3*q. Let r(g) = -g**3 + g. Suppose -2*h = -x, x + 2*h = h + 3. Let y be (-3 + x)*(-15 + 16). Calculate y*z(b) - 5*r(b). -b**3 - b**2 - 2*b Let t(u) = -4*u - 3. Let q be t(-2). Let a(y) = -7 - 4*y - 1 - 3*y. Let n(r) = -3 + 2 + 1 + 61*r + 1 - 60*r. What is q*n(d) + a(d)? -2*d - 3 Let w(l) be the second derivative of 17*l**3/6 - l**2 + 43*l - 2. Let b(f) = 6*f - 1. What is -8*b(s) + 3*w(s)? 3*s + 2 Let x(p) = -2*p - 7. Let d = -2 + -1. Let c(h) be the second derivative of 2*h**3/3 + 13*h**2/2 + 219*h. What is d*c(g) - 5*x(g)? -2*g - 4 Let y(x) = 48*x + 13. Let t(h) = -49*h - 17. Determine -2*t(k) - 3*y(k). -46*k - 5 Suppose 53 = 3*t + 20. Let q(b) = -b**2 - 5*b. Let s(f) = 5*f**2 + 26*f. Give t*q(g) + 2*s(g). -g**2 - 3*g Let m(u) be the first derivative of -2*u - 1/2*u**2 + 29. Let n(q) = 1. What is 3*m(d) + 6*n(d)? -3*d Let k(v) = v - 1. Let l(c) = -7*c**2 - c - 11. Let t(p) = -6*p**2 - p - 9. Let q(i) = 5*l(i) - 6*t(i). Give -3*k(w) + 2*q(w). 2*w**2 - w + 1 Suppose 0 = -2*m + 7 - 3. Let z(f) = -3*f + 0*f + 3 - m. Let n(x) = x**2 - x + 1. Suppose 3*p - 1 = 20*d - 24*d, -3*p = 2*d + 1. Calculate p*z(i) + n(i). i**2 + 2*i Let u(a) = -49*a**3 - 5*a**2 - 2*a + 5. Let x(g) = -24*g**3 - 2*g**2 - g + 2. Give 2*u(r) - 5*x(r). 22*r**3 + r Let r(t) = -80 - 4*t + 21 + 5*t**2 + 63. Let j(u) = -24*u**2 + 21*u - 21. What is 4*j(q) + 21*r(q)? 9*q**2 Let v = 382 - 386. Let y(s) = 6*s**2 - 3. Let r(b) = -b**2 + b + 1. Give v*r(j) - y(j). -2*j**2 - 4*j - 1 Let r(w) = 1. Let z(d) = -71*d + 4. Calculate 4*r(b) - z(b). 71*b Let u(i) = 6*i**2 - 5*i + 9. Let l(x) = 1 + 5 + 2 - 3 + 3*x**2 - 3*x. Determine -5*l(o) + 3*u(o). 3*o**2 + 2 Let q(c) = 8*c - 7. Let n(s) = s - 1. Let i be ((-68)/20 + 3)*15. Determine i*n(k) + q(k). 2*k - 1 Let k(q) = -890*q**3 + 15*q. Let h(t) = 127*t**3 - 2*t. What is -15*h(s) - 2*k(s)? -125*s**3 Let i = 1410 - 1564. Let p(h) = 8*h**3 - 3*h. Let v(j) = 209*j**3 - 77*j. What is i*p(g) + 6*v(g)? 22*g**3 Let f(g) = -5*g + 7. Let b(l) = 8*l - 7. Determine -2*b(r) - 3*f(r). -r - 7 Let r(k) = -k**2 - 8*k - 9. Let g be r(-6). Let x(l) = -6*l + 3. Let f(y) = 7*y - 4. What is g*f(n) + 4*x(n)? -3*n Let z(i) = 125*i**2 + 5*i + 12. Let k(g) = -250*g**2 - 9*g - 22. Give 6*k(t) + 11*z(t). -125*t**2 + t Let a(l) = -15*l - 194 + 57*l + 95 + 93. Let c(q) = 14*q - 2. Calculate -3*a(y) + 8*c(y). -14*y + 2 Let c = -31 + 44. Let a = -8 + c. Let u be 4/2 + 2/(-2). Let j(o) = -2*o + 6. Let d(x) = -1. Calculate a*d(g) + u*j(g). -2*g + 1 Let t(c) = c + 4. Let m(x) = -6 - 15*x + 2 + 14*x + 0 + 3. Calculate m(y) - t(y). -2*y - 5 Let y(z) = -9*z + 70. Let h(s) = 10*s - 71. Calculate -4*h(f) - 5*y(f). 5*f - 66 Let i(b) = -b**2 + 3*b. Let t(k) = 26*k - 76*k + 29*k + 22*k. What is 2*i(q) - 4*t(q)? -2*q**2 + 2*q Let l(r) = -14*r**3 + 58*r**2 - 22*r - 11. Let x(b) = -7*b**3 + 30*b**2 - 12*b - 6. What is -6*l(u) + 11*x(u)? 7*u**3 - 18*u**2 Let b(n) = 49*n**3 + 6*n**2 + 7*n - 2. Let m(o) = 49*o**3 + 4*o**2 + 6*o - 1. Calculate -2*b(j) + 3*m(j). 49*j**3 + 4*j + 1 Let c = -186 - -182. Let w(r) = r**2 + 4*r - 3. Let z(q) be the third derivative of q**5/60 + q**4/8 - q**3/3 - 6*q**2. Give c*w(y) + 6*z(y). 2*y**2 + 2*y Let a(i) = -45*i + 6. Let k(g) = 8*g - 1. Give -6*a(d) - 34*k(d). -2*d - 2 Let q(j) = 2*j**2 + 5*j - 3. Let o(f) = 4*f**2 + 6*f - 4. What is -4*o(n) + 5*q(n)? -6*n**2 + n + 1 Let b(h) = 23*h + 65. Let o(j) = 19*j + 66. What is 5*b(v) - 6*o(v)? v - 71 Let u(w) = -64*w + 129*w - 63*w + 3. Let q(t) = -t - 1. Let l be -1*((-14)/18 + 22/(-99)). Give l*q(i) + u(i). i + 2 Let u(r) = -r**2 + r - 2. Let o(f) = -22*f**2 - f + 9. Determine -o(w) - u(w). 23*w**2 - 7 Let t(s) = 2*s**3 + 4*s**2 - 49*s - 1. Let y(z) = 2*z**3 + 3*z**2 - 48*z - 1. Determine -4*t(c) + 5*y(c). 2*c**3 - c**2 - 44*c - 1 Let t(r) = 2*r**2 + 17*r + 1. Let c(a) = -2*a - 1. Let g(k) = c(k) + t(k). Let j(u) = -u. Calculate -g(z) - 4*j(z). -2*z**2 - 11*z Let f(m) = 37*m**2 - 16*m - 12. Let b(q) = 4*q**2 - q - 2. Give -5*b(z) + f(z). 17*z**2 - 11*z - 2 Let f(h) = -h**2 - 2*h + 1. Let i(z) be the first derivative of z**3/3 + 3*z**2/2 - z - 200. Let m = -10 - -15. What is m*f(o) + 3*i(o)? -2*o**2 - o + 2 Let r = -5555 - -5550. Let j(l) = -4*l - 7. Let s(d) be the first derivative of 3*d**2 + 11*d - 1. Determine r*s(z) - 8*j(z). 2*z + 1 Let r(z) = 3*z + 16. Let y(p) = -2*p - 17. Give 3*r(c) + 2*y(c). 5*c + 14 Let x(l) = -3*l**2 + 7*l + 1. Let q(u) be the first derivative of -u**3/3 + u**2 - 122. Determine -14*q(d) + 4*x(d). 2*d**2 + 4 Let y(h) = 11*h**3 + 9*h**2 + 12*h - 7. Suppose 0 = -3*s + 13 + 8. Let x(p) = -5*p**3 - 4*p**2 - 6*p + 3. Determine s*x(k) + 3*y(k). -2*k**3 - k**2 - 6*k Let q(g) = 23*g**3 + 5*g**2 + 5*g + 5. Let h(b) = -25*b**3 - 6*b**2 - 6*b - 6. Calculate 5*h(r) + 6*q(r). 13*r**3 Let z(u) = 8*u**3 + 39*u**2 - 9*u - 9. Let a(d) = -d**3 + d + 1. Determine 18*a(b) + 2*z(b). -2*b**3 + 78*b**2 Let y(b) = b**2 - 26*b - 4. Let k(v) = -v**2 + 1. What is 3*k(f) + y(f)? -2*f**2 - 26*f - 1 Let o(g) = g**2 - g - 1. Let z be 2 - 3 - 2/2. Let q(r) = -3. Let s = -90 - -138. Suppose s*j - 46*
{ "pile_set_name": "DM Mathematics" }
b of sequence dd? 1/57 Calculate prob of sequence jtfo when four letters picked without replacement from ffhjgot. 1/420 Calculate prob of sequence jw when two letters picked without replacement from hiihhihcjgiwihhchhig. 1/380 Two letters picked without replacement from {y: 11, e: 9}. Give prob of sequence ey. 99/380 Three letters picked without replacement from {m: 6, r: 2, g: 2, y: 2}. What is prob of sequence ggr? 1/330 What is prob of sequence trrr when four letters picked without replacement from {t: 4, r: 16}? 112/969 Calculate prob of sequence hh when two letters picked without replacement from {h: 2, l: 1, g: 1, p: 4}. 1/28 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 6}. 1 Three letters picked without replacement from ieyunju. What is prob of sequence uju? 1/105 Three letters picked without replacement from {b: 3, k: 12}. Give prob of sequence bkb. 12/455 Two letters picked without replacement from tztqttcqfitq. What is prob of sequence qz? 1/44 What is prob of sequence qdrj when four letters picked without replacement from {q: 1, j: 1, f: 1, r: 1, d: 1}? 1/120 What is prob of sequence vv when two letters picked without replacement from {v: 5}? 1 What is prob of sequence ddd when three letters picked without replacement from wwdwwdwd? 1/56 Calculate prob of sequence nnyn when four letters picked without replacement from {y: 8, n: 3}. 1/165 Two letters picked without replacement from ohwhthhoophhhhthhht. What is prob of sequence ho? 11/114 Calculate prob of sequence zs when two letters picked without replacement from {g: 1, z: 2, b: 4, y: 2, s: 2, x: 3}. 2/91 Four letters picked without replacement from rurrruruuruuruuurrr. What is prob of sequence urur? 45/646 What is prob of sequence uhch when four letters picked without replacement from {h: 6, c: 1, u: 6, e: 4}? 3/952 Three letters picked without replacement from {l: 11, j: 2, u: 7}. Give prob of sequence jll. 11/342 Three letters picked without replacement from ntbnkzr. What is prob of sequence ktr? 1/210 Calculate prob of sequence kn when two letters picked without replacement from {k: 1, n: 1, o: 2}. 1/12 Two letters picked without replacement from ctdsnvstdttd. Give prob of sequence sd. 1/22 Four letters picked without replacement from {d: 2, e: 2, w: 2}. What is prob of sequence ewdw? 1/45 What is prob of sequence mwh when three letters picked without replacement from wjcvmwch? 1/168 Two letters picked without replacement from dpdddpd. Give prob of sequence dd. 10/21 What is prob of sequence xmuo when four letters picked without replacement from {a: 10, m: 3, t: 1, o: 2, u: 1, x: 2}? 1/7752 What is prob of sequence eew when three letters picked without replacement from {e: 9, w: 7}? 3/20 Calculate prob of sequence ve when two letters picked without replacement from {s: 3, e: 1, j: 3, v: 11, l: 1}. 11/342 Three letters picked without replacement from {t: 9, s: 2}. Give prob of sequence sts. 1/55 What is prob of sequence bby when three letters picked without replacement from lryulbbyf? 1/126 Four letters picked without replacement from wwrwrrwrrwwww. Give prob of sequence wwww. 14/143 Three letters picked without replacement from urrrrtttuhurttt. What is prob of sequence uth? 3/455 Calculate prob of sequence gm when two letters picked without replacement from {n: 6, l: 1, g: 3, m: 2, i: 2, h: 1}. 1/35 Two letters picked without replacement from {q: 3, r: 12}. Give prob of sequence rq. 6/35 Calculate prob of sequence kspp when four letters picked without replacement from pkspppppppppppppppp. 1/342 Three letters picked without replacement from {i: 1, w: 1, n: 3}. What is prob of sequence nni? 1/10 What is prob of sequence px when two letters picked without replacement from pxxppx? 3/10 Two letters picked without replacement from hhcccchpbhp. What is prob of sequence cc? 6/55 What is prob of sequence wxod when four letters picked without replacement from wodzyxzzoyzoxow? 2/4095 What is prob of sequence se when two letters picked without replacement from ssmes? 3/20 What is prob of sequence rr when two letters picked without replacement from {r: 4, q: 2}? 2/5 Two letters picked without replacement from {b: 9, l: 11}. Give prob of sequence lb. 99/380 What is prob of sequence iiii when four letters picked without replacement from iiiiiiiiii? 1 What is prob of sequence ksa when three letters picked without replacement from ksska? 1/15 Three letters picked without replacement from {s: 6, e: 2, o: 4, w: 3, k: 2}. Give prob of sequence wew. 1/340 Three letters picked without replacement from szxbzzssssxzs. Give prob of sequence xzb. 2/429 Two letters picked without replacement from tuututtuuutu. What is prob of sequence tt? 5/33 Four letters picked without replacement from {m: 3, r: 2, h: 1, n: 6, u: 1}. Give prob of sequence hrnu. 1/1430 Calculate prob of sequence wd when two letters picked without replacement from {i: 3, w: 4, d: 4, l: 5}. 1/15 What is prob of sequence fw when two letters picked without replacement from wypiylpywypppyypifp? 1/171 What is prob of sequence qqqq when four letters picked without replacement from qqaqaqqqq? 5/18 Four letters picked without replacement from bbhtctt. What is prob of sequence bttt? 1/70 Calculate prob of sequence uyue when four letters picked without replacement from ssyuyuuusyeuuy. 5/1001 Calculate prob of sequence jqj when three letters picked without replacement from jjqjjjjjjjjqjqjjjj. 35/272 Calculate prob of sequence xwm when three letters picked without replacement from aexwemy. 1/210 What is prob of sequence nn when two letters picked without replacement from {h: 4, n: 16}? 12/19 Three letters picked without replacement from {l: 4, k: 7}. Give prob of sequence kll. 14/165 Four letters picked without replacement from jfjfjfj. Give prob of sequence jfff. 1/35 What is prob of sequence dlle when four letters picked without replacement from {l: 3, e: 1, d: 3}? 3/140 Calculate prob of sequence fmxp when four letters picked without replacement from fmmxxxpxxpfkfxxxxxxx. 2/1615 Calculate prob of sequence czx when three letters picked without replacement from xaaycxz. 1/105 Three letters picked without replacement from bbbcbbdcdbbb. What is prob of sequence cbd? 4/165 Two letters picked without replacement from zmwwzmzmzzmwwzz. Give prob of sequence wm. 8/105 Calculate prob of sequence zzz when three letters picked without replacement from {z: 1, g: 3, k: 4}. 0 Two letters picked without replacement from {o: 7, f: 12}. What is prob of sequence ff? 22/57 Calculate prob of sequence irs when three letters picked without replacement from rssssir. 4/105 Three letters picked without replacement from {r: 1, k: 1, m: 1, i: 1, v: 1}. What is prob of sequence ikv? 1/60 What is prob of sequence vttv when four letters picked without replacement from {t: 3, v: 9}? 2/55 Four letters picked without replacement from {d: 8, b: 11, c: 1}. Give prob of sequence dddd. 14/969 Three letters picked without replacement from ivvviiiiiii. What is prob of sequence vii? 28/165 Three letters picked without replacement from {c: 5, y: 2}. Give prob of sequence ycc. 4/21 Four letters picked without replacement from fvkfvkkbfffkv. Give prob of sequence bvvv. 1/2860 Two letters picked without replacement from fznsnnvvnnnfnsvnfng. Give prob of sequence vv. 1/57 Calculate prob of sequence mm when two letters picked without replacement from {m: 6, n: 3, f: 4}. 5/26 What is prob of sequence kkjj when four letters picked without replacement from {k: 11, j: 3}? 5/182 What is prob of sequence lv when two letters picked without replacement from {a: 2, f: 1, v: 1, d: 5, n: 3, l: 1}? 1/156 Calculate prob of sequence vvz when three letters picked without replacement from {z: 2, v: 12, y: 1, g: 4}. 44/969 What is prob of sequence vx when two letters picked without replacement from {f: 2, x: 5, v: 2}? 5/36 Calculate prob of sequence tt when two letters picked without replacement from ptbtttbtttttbtp. 3/7 Two letters picked without replacement from {x: 3, r: 1, i: 3, o: 3}. What is prob of sequence io? 1/10 What is prob of sequence attn when four letters picked without replacement from nwtttawwww? 1/840 Four letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
r 397? 397 Which is greater: 168 or 164? 168 Is -531 < 0.1? True Which is bigger: 1 or -2499? 1 Which is smaller: 127 or 126? 126 Is 1 greater than 2/18751? True Is -2/3 less than -7? False Are -529 and 1 unequal? True Which is greater: -425 or -451? -425 Which is smaller: -2 or -60/23? -60/23 Is -528 less than -528? False Which is smaller: -6/433 or 1? -6/433 Is 1/542 at least -1? True Which is bigger: -1659 or -1658? -1658 Which is greater: -1 or 2/16003? 2/16003 Which is smaller: 0 or -4? -4 Which is greater: 5 or -74? 5 Is -115 != 2? True Which is smaller: 293 or 28? 28 Which is smaller: -4370 or -39340/9? -39340/9 Which is bigger: -39 or -52? -39 Which is bigger: -445/9 or -48? -48 Does -1/84 = 3? False Which is smaller: 379 or 371? 371 Which is bigger: -191/5 or -39? -191/5 Which is bigger: 0.01 or 0.15? 0.15 Which is greater: -2/37 or -50? -2/37 Is -852 < -852? False Which is greater: 38 or 10? 38 Which is bigger: -2/7 or 27910? 27910 Which is smaller: -345 or -360? -360 Is 2843 smaller than 0? False Is -1 equal to 54? False Which is bigger: 48 or -1? 48 Which is smaller: -1956 or -1952? -1956 Are 9 and -206 nonequal? True Is 154 bigger than 4? True Is 2/83 < 0? False Is -1/389 smaller than -1? False Do -483/2 and -242 have different values? True Is -12065/7 smaller than -1724? False Which is greater: 20 or -84? 20 Which is smaller: 471 or 472? 471 Is -2312 at least as big as -2313? True Are 0.184 and 0.1 equal? False Is 272 at least as big as -3? True Is 4/10291 smaller than 1? True Which is smaller: -28 or 89? -28 Are -3/7 and 0.34 equal? False Does 91 = 1289/14? False Is 128 smaller than 173? True Do 0 and 37409 have the same value? False Which is smaller: -725 or -723? -725 Which is bigger: -31/11 or 1/2? 1/2 Which is greater: -6/161 or -1? -6/161 Which is bigger: 197 or 199? 199 Is -2.3 >= -13/22? False Are -0.1 and -20056 non-equal? True Is -279 at most -1/13? True Is -6 less than -79/16? True Which is bigger: 1/20990 or -1? 1/20990 Is -1189 != -1188? True Which is bigger: -10290 or -10289? -10289 Which is smaller: -0.945 or -0.1? -0.945 Is 0 > -6/1885? True Is 40 bigger than 42? False Which is bigger: 280 or 278? 280 Which is bigger: -7/351 or 0? 0 Is 553 >= 551? True Which is smaller: 67/11 or 7? 67/11 Which is bigger: -163/6 or -26? -26 Which is smaller: -257 or 1? -257 Which is smaller: 55 or 49? 49 Which is greater: 6 or 157/23? 157/23 Which is smaller: -16 or 2/11? -16 Which is smaller: 100/399 or 0? 0 Is 307 less than or equal to 3/4? False Is 1061 equal to 1059? False Which is greater: -21 or -16/33? -16/33 Is 2 at most -23.2? False Which is smaller: -5/913 or 0? -5/913 Which is bigger: -0.3 or -341? -0.3 Which is smaller: 1/5 or 2? 1/5 Which is smaller: -9234 or -9231? -9234 Which is bigger: -1 or 3/6686? 3/6686 Which is greater: -9055 or -9056? -9055 Which is smaller: 0 or -158/209? -158/209 Is -100 smaller than 1? True Which is greater: -8 or -2/13? -2/13 Which is smaller: 1 or 15? 1 Which is greater: -1061 or -1062? -1061 Which is smaller: -45 or -28? -45 Which is greater: -8 or -79/11? -79/11 Is 0 greater than -2/791? True Which is smaller: -28 or -0.01? -28 Which is bigger: -10491 or 0.3? 0.3 Is 0 >= 5/526? False Is -2/79 != -83? True Which is smaller: -908 or -909? -909 Which is bigger: 0 or -1/255? 0 Which is smaller: 24 or 101/4? 24 Which is smaller: 4332 or 4333? 4332 Which is greater: -0.029 or -80? -0.029 Is -4/39 smaller than -1? False Which is smaller: -541 or -1? -541 Is -0.1 >= 2/11? False Is 0.5801 equal to 1? False Is 7 less than -1.115? False Is -1173 not equal to -1174? True Does 64/7 = 9? False Which is smaller: -0.1 or -2782? -2782 Is 0.1 less than 2/5? True Is 5085 at most as big as 5085? True Are 163/4 and 2 equal? False Is 375 greater than 376? False Which is smaller: 14/27 or -0.09? -0.09 Which is smaller: -105 or -103? -105 Is 4/2471 at most -1? False Is -7/8 bigger than -6? True Is -6 at least -15? True Is 0 < 134? True Is -470 at least -470? True Is -10415/2 < -5209? False Which is greater: -448/5 or -90? -448/5 Which is greater: 4282 or 4281? 4282 Is -2 at most as big as -0.98? True Is 10 greater than 0.379? True Does -2/5 = -1083? False Which is smaller: 12 or 13? 12 Is 210 at least 231? False Which is bigger: 3/148 or -1? 3/148 Is -4575 not equal to -13721/3? True Which is smaller: -270 or -17? -270 Which is smaller: 34 or 407/12? 407/12 Does -50 = -44? False Which is bigger: -6 or -25? -6 Is -10 at most as big as 281? True Which is smaller: 2/60423 or -1? -1 Which is smaller: -102 or -100? -102 Is -283 > -3120/11? True Which is greater: 2 or -0.269? 2 Are 0 and 4/429 equal? False Which is smaller: -1/27 or 0? -1/27 Which is greater: 5 or 1/6? 5 Is 435/13 bigger than 34? False Which is smaller: 69/40 or 3? 69/40 Is -10681 smaller than -10681? False Which is smaller: -8980 or -2/7? -8980 Which is smaller: 1 or 750.5? 1 Is -1 not equal to -86/287? True Is 1166 greater than 1168? False Which is greater: 1864 or 1854? 1864 Is 284 not equal to 6.4? True Which is bigger: -251 or -1/32? -1/32 Which is smaller: 0 or 76/823? 0 Are 151 and 151 non-equal? False Which is smaller: 8.6 or 2/21? 2/21 Is 72 equal to 43? False Is 1 bigger than 1/3378? True Is -101/2 equal to -50? False Is 366 greater than or equal to 366? True Is 73 <= 0? False Which is greater: 328 or 327? 328 Is -52 < -59? False Is 3 at most 104/33? True Is 0.3 smaller than 2/5811? False Which is greater: 5/4036 or 1? 1 Does -1/2 = -1570? False Is 166 < 168? True Is 7563 at least 7561? True Which is bigger: -2/5351 or 1? 1 Is -2 at least -9/5? False Do 12/43 and 1 have the same value? False Are -1 and -28/99 nonequal? True Which is greater: 17639 or 17640? 17640 Which is bigger: 3/256 or -2? 3/256 Is -11/678 at most -1? False Which is bigger: 0 or 2/15417? 2/15417 Which is smaller: 1 or -120/1237? -120/1237 Which is bigger: -1 or -33/40? -33/40 Which is smaller: -7640 or -7641? -7641 Which is smaller: -1 or 32/163? -1 Are 147 and 34 non-equal? True Does -131 = 56? False Is 260 greater than 261? False Is -1278 not equal to -3835/3? True Which is greater: 340 or 341? 341 Which is smaller: -209 or -211? -211 Which is bigger: 1 or 89? 89 Which is bigger: -96 or -52? -52 Do -990 and -989 have different values? True Which is smaller: -154 or -307/2? -154 Is -214 bigger than -214? False Do -4 and -230 have different values? True Is 11718 at most as big as 11718? True Which is bigger: 67 or -22? 67 Which is greater: -2/17981 or 1? 1 Is -1/498 at most as big as 0? True Is -514 less than -514? False Which is greater: 0.1 or 506.8? 506.8 Which is smaller: -2/3 or 533? -2/3 Which is smaller: 22/123 or -1? -1 Which is bigger: -13007 or 0? 0 Are -7 and 1025 nonequal? True Which is bigger: -1148/3 or -383? -1148/3 Do 0.17 and 104 have different values? True Which is smaller: 12.38 or -1/3? -1/3 Is -24/17 bigger than -2? True Which is greater: -532 or 2? 2 Do -880/3 and -294 have the same value? False Which is smaller: -2/611 or 0? -2/611 Is -1367 greater than or equal to 2? False Is 2/7 at most as big as -314? False Is 5.32 bigger than -1? True Which is greater: -8/781 or 0? 0 Which is smaller: -3/71 or -1? -1 Is -1459 > -1459? False Is 1123/2 bigger than 562? False Is 94 smaller than 101? True Is -0.0602 at most as big as 0? True Which is greater: 1244 or 1243? 1244 Which is smaller: -3 or -192/61? -192/61 Which is bigger: -1341 or -1343? -1341 Is 1323 at most as big as 1322? False Is 24.2 less than or equal to 0? False Which is bigger: -4 or 0? 0 Which is bigger: 254 or 2278/9? 254 Is -0.4 != 1? True Which is smaller: -15829 or -15828? -15829 Is 1848 less than 1847? False Is 2 equal to 119.3? False Which is smaller: 13 or 11? 11 Is -50 less than -4? True Which is smaller: 356 or 354? 354 Is -1 <= 9/347? True Does 1 = 5/1649? False Is 677.9 != -1/2? True Which is smaller: 1 or 1/38? 1/38 Is -125 less than -125? False Which is smaller: -2/5 or -0.0273? -2/5 Which is smaller: 16 or 6? 6 Which is bigger: 76 or 85? 85 Which is smaller: -103 or -0.3? -103 Is 265 at most 3? False Are 1 and 1/961 unequal? True Is 6.37 at least 2/3? True Do 1/260 and 1 have the same value? False Do 1 and -1/10042 have different values? True Is 0 less than -42/937? False Is
{ "pile_set_name": "DM Mathematics" }
3*r**3 - r**2 Let b(k) = k**2 - 11*k + 25. Let u be b(6). Let g(j) = -4*j**3 + 4*j**2 + 4*j - 4. Let h(f) = 4*f**3 - 5*f**2 - 5*f + 5. Determine u*g(p) - 4*h(p). 4*p**3 Let i(d) = 30*d + 25. Let v(k) = -5*k - 2 + 4 - 6. Determine -4*i(n) - 25*v(n). 5*n Let o(w) = w - 1. Let a(r) = -r**2 - 3*r + 4. Suppose 2*u + 3*u = -15. Give u*o(c) - a(c). c**2 - 1 Let o(x) = 4*x**2 + 2*x**2 - 8 + 1 + 0. Let v(r) = r**2 - 1. Calculate 3*o(t) - 21*v(t). -3*t**2 Suppose 0 = 5*a - 4*a + 2, d + a + 7 = 0. Let r(l) = -3*l + 2. Let k(p) = 3*p - 2. What is d*k(w) - 4*r(w)? -3*w + 2 Suppose 0 = -2*m - 2 - 0. Let v(u) = -u - 1. Let z(p) = 6*p + 6. What is m*z(d) - 5*v(d)? -d - 1 Let q(b) = -476*b**2 - 51. Let i(l) = 19*l**2 + 2. Determine -51*i(c) - 2*q(c). -17*c**2 Let a(n) = 98*n. Let h(z) = -z. Calculate -a(q) + 8*h(q). -106*q Let m(t) = -2 + 0 + t - 3*t. Let k be ((-1)/(-3) - 0)*-15. Suppose -7*x + 2*x = 10. Let p(o) = 4*o + 4. Determine k*m(c) + x*p(c). 2*c + 2 Let m(n) be the second derivative of n**3/6 - n**2 + n + 20. Let o(u) = 3. Calculate -4*m(y) - 3*o(y). -4*y - 1 Let z(a) = 6*a + 5. Let x(y) be the second derivative of 2*y**2 + 5/6*y**3 + 0 + y. Let f be (-4)/10 + 12/(-20) + 5. Give f*z(q) - 5*x(q). -q Let l(b) = -9*b**3 - 7*b**2 + 9*b - 9. Let d(u) = -5*u**3 - 3*u**2 + 4*u - 4. Determine 5*d(q) - 2*l(q). -7*q**3 - q**2 + 2*q - 2 Let q = 11 + -12. Let l be 6/(-27)*3*3. Let h(d) = d**3 - d. Let g(b) = -3*b**3 + 2*b. What is l*h(r) + q*g(r)? r**3 Let h(q) = 41*q + 2. Let d(n) = 61*n + 3. Calculate -5*d(c) + 7*h(c). -18*c - 1 Let g(s) = -6*s**2. Let l(x) = 2*x**2. What is g(o) + 6*l(o)? 6*o**2 Let t(o) = -o**3 - o**2 + o + 1. Suppose -2*j = -3*r + 4*r + 3, 4*j + 8 = 0. Let w(s) = -7*s**3 - 6*s**2 + 5*s + 6. Give r*w(x) - 6*t(x). -x**3 - x Let r(s) = 2*s + 7. Let k(x) = x. What is 4*k(z) - r(z)? 2*z - 7 Let u(p) = p**2 - 20*p - 72. Let o be u(23). Let g(q) = -8*q**3. Let d(t) = -7*t**3. Determine o*g(j) + 4*d(j). -4*j**3 Let p(t) = t - 1. Let x(l) = 24*l - 21. Determine -84*p(h) + 4*x(h). 12*h Let z(p) = -3*p - 5. Let g(b) = -b - 2. Let c(a) = -8*g(a) + 3*z(a). Let t(s) = -s + 1. Calculate 2*c(h) - 3*t(h). h - 1 Let c(f) = 6*f + 41. Let m be c(-6). Let s(u) = 9*u + 5. Let t(a) = -1. Let h(l) = s(l) - 2*t(l). Let j(o) = -4*o - 3. Calculate m*j(b) + 2*h(b). -2*b - 1 Let h(b) = -b**2 + b + 1. Let k(i) = -7*i**2 + 6*i + 6. Suppose 2 = r + 2*x, -11 = -3*r - 4*x - 1. Determine r*h(o) - k(o). o**2 Let z(v) = -6*v**3 + 5*v**2 - 5*v. Let i be (-197)/3 + 11/(-33). Let m be i/(-14) + (-4)/(-14). Let o(x) = -7*x**3 + 6*x**2 - 6*x. Determine m*o(t) - 6*z(t). t**3 Let c = -37 - -40. Let z(b) = -2*b**2 - b - 1. Suppose -27 + 7 = -4*r. Let x(q) = 4*q**2 + 2*q + 1. Give c*x(d) + r*z(d). 2*d**2 + d - 2 Suppose 0*t - 2*t = -2, -5*g + 7 = -3*t. Let o(l) = -l**2 - l + 3. Let u(j) = -2*j**2 - 3*j + 7. Determine g*u(c) - 5*o(c). c**2 - c - 1 Let s(z) = -13*z - 13. Let p(b) be the second derivative of 2*b**3/3 + 2*b**2 - 22*b. Calculate 7*p(k) + 2*s(k). 2*k + 2 Let v(h) = -31*h - 7. Let p(n) = -15*n - 3. Calculate -5*p(g) + 2*v(g). 13*g + 1 Let x(l) = -851*l**3 - 69*l**2 + 69. Let h(s) = -50*s**3 - 4*s**2 + 4. Calculate 69*h(q) - 4*x(q). -46*q**3 Let v(w) = 4*w**3 - w**2 + 2. Let q(z) = z**2. Determine 2*q(c) + v(c). 4*c**3 + c**2 + 2 Let r(n) = 19*n**3 + 3*n**2 + 3*n - 3. Let k(m) = -58*m**3 - 8*m**2 - 8*m + 8. Give -3*k(z) - 8*r(z). 22*z**3 Let i(u) = -u**3 + 1. Let z(p) = 15*p**3 + 3*p - 6. Give -6*i(a) - z(a). -9*a**3 - 3*a Let b(r) = r**3 + r - 1. Let m(s) = -s**3 + s + 1. Let z(y) = -6*y**3 - 8*y + 5. Let d(o) = -2*m(o) - z(o). Determine 6*b(n) - d(n). -2*n**3 + 1 Let v(q) = -q - 1. Let t(y) = y**3 + y**2 + 4*y - 2. Give t(j) + 4*v(j). j**3 + j**2 - 6 Let v(i) = 2*i + 2. Let b(f) = -f**2 - 12*f - 5. Let d be b(-12). Let j(w) = 2*w + 2. Give d*j(x) + 6*v(x). 2*x + 2 Let b(k) = 5*k + 3. Let z(q) = 1. Let r(t) = 4*t + 1. Let w(a) = -r(a) - z(a). Let x(o) = 2*o - 2. Let f be x(6). Let d be 4/f + 52/20. Give d*w(h) + 2*b(h). -2*h Let t(n) = 13*n**2 - 13*n + 13. Let s(u) = 14*u**2 - 13*u + 12. Let q(l) = -4*s(l) + 3*t(l). Let v(d) = 9*d**2 - 7*d + 5. Determine 6*q(h) + 11*v(h). -3*h**2 + h + 1 Let b(r) = 34*r**2 - 3. Let z(n) = -n**2 - 1. Give b(d) - 4*z(d). 38*d**2 + 1 Let v = 6 + -1. Let t(y) be the first derivative of -y**2/2 - 7. Let i(f) = f. Give v*t(m) + 4*i(m). -m Let s(y) = -y**3 - y**2 - 1. Let u(t) = -4*t**3 + 3*t**2 + 3. Calculate -3*s(c) - u(c). 7*c**3 Let d(v) = -v**2 + v. Let i(r) = r**2 - 4*r. Calculate 6*d(z) + 3*i(z). -3*z**2 - 6*z Let n(x) = 2*x - 1. Let l(c) be the second derivative of -c**3/2 + c**2/2 - 3*c. Calculate -5*l(h) - 6*n(h). 3*h + 1 Let o be (-160)/(-26) + (-4)/26. Let l(a) = -a - 6. Let p(z) = 3. Determine o*p(s) + 3*l(s). -3*s Let u(t) = 4*t**2 + 7. Let o(g) = 2*g**2 - 3*g**2 - g**2 - 3. Let a(q) = -2 + 14*q + 2 - 15*q. Let c be a(2). Determine c*u(w) - 5*o(w). 2*w**2 + 1 Let s(j) = -11*j**2 + 2*j + 4. Let p(c) = -5*c**2 - c + 2*c + 2 + 0. Suppose 17 = 4*r - 19. Determine r*p(w) - 4*s(w). -w**2 + w + 2 Let r(g) = 13*g**3 + 3*g**2 + 3*g. Let s(j) = -9*j**3 - 2*j**2 - 2*j. Give 5*r(x) + 7*s(x). 2*x**3 + x**2 + x Let k(q) = -q - 10. Let i(x) = -3 - 5*x + 0*x + 4*x - 4. What is 7*i(u) - 5*k(u)? -2*u + 1 Let t(i) = -61*i**3 - 6*i. Let w(z) = z**3 - z. Determine t(c) - 6*w(c). -67*c**3 Let m(i) = 2*i + 1. Let z(d) = -d - 1. Let g be (9/(-6))/((-5)/10). Suppose 2*k - 3*k - 4*n - 3 = 0, g*k + n + 9 = 0. Give k*m(w) - 3*z(w). -3*w Let j(f) be the third derivative of -f**5/20 - f**4/8 - f**3/3 + f**2. Let b(i) = -i**3 + 7*i**2 + 7*i + 5. Let x = 20 - 18. Give x*b(t) + 5*j(t). -2*t**3 - t**2 - t Let v(o) = 2*o - 2. Let h be v(3). Let u(j) = 7*j + 3. Let w(a) = 11*a + 5. Let n(k) = -8*u(k) + 5*w(k). Let s(y) = -6*y + 3. Calculate h*n(b) - s(b). 2*b + 1 Let r(c) = -324*c**3 + 27*c**2 - 27*c. Let y(o) = -25*o**3 + 2*o**2 - 2*o. Calculate -2*r(n) + 27*y(n). -27*n**3 Let g(x) = 7*x**3 + 11*x**2 + x. Let q(o) = -o**3 - o**2. Calculate g(l) + 6*q(l). l**3 + 5*l**2 + l Let c(b) = -7*b**3 + 8*b - 4. Suppose 6*h - 20 = 2*h. Let t(g) = 6*g**3 - 7*g + 3. Suppose -2*a + v + 1 = -6, 3*a + 4*v = 38. What is a*t(w) + h*c(w)? w**3 - 2*w - 2 Let t(y) = -y**3 - 6*y**2 + y + 6. Let g(v) = v**2 - 1. Let n = -8 + 7. Calculate n*t(o) - 6*g(o). o**3 - o Let z(u) = -36*u**2. Let t(o) = -2*o**2 + 2*o**2 - 5*o**2 + 0*o**2. Determine -44*t(c) + 6*z(c). 4*c**2 Let x(c) = 13*c + 4. Let j(p) = -12*p - 3. Determine -4*j(b) - 3*x(b). 9*b Let v(o) = -1343*o**3 - 119*o**2 - 119*o + 119. Let x(d) = 56*d**3 + 5*d**2 + 5*d - 5. What is 5*v(h) + 119*x(h)? -51*h**3 Let z(g) = g + 1. Let b(s) = 18*s**3 - 8*s - 8. What is -3*b(q) - 24*z(q)? -54*q**3 Let i(l) = 5*l**2 - 13*l - 13*l - 21*l + 51*l - 4. Let j(x) = 4*x**2 + 3*x - 3. Calculate -3*i(g) + 4*j(g). g**2 Let i(q) = -11*q**2 - 2*q + 2. Let a(c) = 12*c**2 + 3*c - 3. What is 2*a(p) + 3*i(p)? -9*p**2 Let n(m) = 6*m - 11. Let c(i) = -6*i + 22. Let w(j) = -2*j + 7. Let a(o) = 3*c(o) - 10*w(o). Calculate 11*a(k) - 4*n(k). -2*k Let a(j) = -j**2 - 7*j + 7. Suppose 5*u - 10 = 0, 4*w + 38 = u + 16. Let d(s) = -s**2 - 5*s + 5. What is w*a(r) + 7*d(r)? -2*r**2 Let x(i) = -i. Let f(n) = 6*n + 2. Let k be (1 + 2)*(1 + 12/(-9)). Determine k*f(w) - 5*x(w). -w - 2 Let j(n) = 121*n + 4. Let z(q) = 61*q + 2. Determine -6*j(g) + 13*z(g). 67*g + 2 Let f(p) = -9 - 29*p - 2*p**3 + 27*p - 11*p**3 - 7*p**2. Let q(j) = -6*j**3 - 3*j**2 - j - 4. Calculate 4*f(c) - 9*q(c). 2*c**3 - c**2 + c Let u(q) = 7*q**3 - 11*q**2 + 7*q + 1. Let p(k) = 4*k**3 - 6*k**2 + 4*k + 1. Calculate -11*p(t) + 6*u(t). -2*t**3 - 2*t - 5 Let u(q) = 2*q**2 + 4*q + 5. Let i(c) = -4 - c + 1 - c**2 + 2. Suppose -t + 1 = -0*t. Calculate t*u(h) + 4*i(h). -2*h**2 + 1 Let w(v) = v. Let u(c) = c**2 + 2*c - 1. Let t(d) = -u(d) + w(d). Let s be t(1). Let m(j) = -j**2. Let l(p) = p**3 - 5*p**2 - 1. What is s*l(g) + 5*m(g)? -g**3 + 1 Let x(m) = m**2 + m + 1. Let y(c) = -2*c**2 - 3*c - 8. Let b(j) = -j**2 - 2*j - 8. Let w(v) = 4*b(v) - 5*y(v). Calculate -2*w(n) + 14*x(n). 2*n**2 - 2 Let n(f) = f**2 + 4*f. Let h(p) = p**2 + 5*p. Let a(v) = v - 6. Let b be a(9). Suppose -c + 10 = -b*c. Determine c*n(d) + 4*h(d). -d**2 Suppose -95 = -4*c + 77. Let o(z) = 43*z**2 - c*z**2 + z + z**3. Let a(u) = 4*u**3 + 4*u + 1
{ "pile_set_name": "DM Mathematics" }
arest integer? 11 What is 33709 to the power of 1/2, to the nearest integer? 184 What is the ninth root of 66949 to the nearest integer? 3 What is the tenth root of 20161 to the nearest integer? 3 What is the square root of 10831 to the nearest integer? 104 What is the seventh root of 858 to the nearest integer? 3 What is 5621 to the power of 1/6, to the nearest integer? 4 What is 316 to the power of 1/2, to the nearest integer? 18 What is the cube root of 1603 to the nearest integer? 12 What is 20780 to the power of 1/6, to the nearest integer? 5 What is 8113 to the power of 1/8, to the nearest integer? 3 What is the square root of 966 to the nearest integer? 31 What is the square root of 351 to the nearest integer? 19 What is the square root of 2720 to the nearest integer? 52 What is the square root of 7 to the nearest integer? 3 What is the seventh root of 128716 to the nearest integer? 5 What is the seventh root of 42284 to the nearest integer? 5 What is 1994 to the power of 1/4, to the nearest integer? 7 What is 4797 to the power of 1/7, to the nearest integer? 3 What is the square root of 6000 to the nearest integer? 77 What is 25619 to the power of 1/3, to the nearest integer? 29 What is 67061 to the power of 1/2, to the nearest integer? 259 What is the third root of 60270 to the nearest integer? 39 What is the cube root of 44083 to the nearest integer? 35 What is 45375 to the power of 1/3, to the nearest integer? 36 What is the fourth root of 1870 to the nearest integer? 7 What is 60395 to the power of 1/2, to the nearest integer? 246 What is 12916 to the power of 1/2, to the nearest integer? 114 What is the tenth root of 4821 to the nearest integer? 2 What is 134 to the power of 1/3, to the nearest integer? 5 What is 5403 to the power of 1/2, to the nearest integer? 74 What is the sixth root of 27664 to the nearest integer? 5 What is the ninth root of 264 to the nearest integer? 2 What is the square root of 4802 to the nearest integer? 69 What is 35762 to the power of 1/3, to the nearest integer? 33 What is 21294 to the power of 1/6, to the nearest integer? 5 What is the third root of 72680 to the nearest integer? 42 What is 18781 to the power of 1/3, to the nearest integer? 27 What is the square root of 26342 to the nearest integer? 162 What is the square root of 562 to the nearest integer? 24 What is 465 to the power of 1/3, to the nearest integer? 8 What is 70 to the power of 1/8, to the nearest integer? 2 What is 1033 to the power of 1/7, to the nearest integer? 3 What is 3244 to the power of 1/3, to the nearest integer? 15 What is 297 to the power of 1/2, to the nearest integer? 17 What is the cube root of 4891 to the nearest integer? 17 What is the square root of 388 to the nearest integer? 20 What is the sixth root of 26996 to the nearest integer? 5 What is the fourth root of 298 to the nearest integer? 4 What is 3203 to the power of 1/7, to the nearest integer? 3 What is the third root of 10766 to the nearest integer? 22 What is 25036 to the power of 1/3, to the nearest integer? 29 What is the eighth root of 5312 to the nearest integer? 3 What is the square root of 13149 to the nearest integer? 115 What is 2713 to the power of 1/4, to the nearest integer? 7 What is the fifth root of 17802 to the nearest integer? 7 What is 3680 to the power of 1/3, to the nearest integer? 15 What is 2717 to the power of 1/2, to the nearest integer? 52 What is the sixth root of 13097 to the nearest integer? 5 What is the tenth root of 15438 to the nearest integer? 3 What is 8827 to the power of 1/3, to the nearest integer? 21 What is the third root of 4 to the nearest integer? 2 What is the square root of 5612 to the nearest integer? 75 What is 9284 to the power of 1/7, to the nearest integer? 4 What is 18024 to the power of 1/4, to the nearest integer? 12 What is 69 to the power of 1/2, to the nearest integer? 8 What is the eighth root of 37578 to the nearest integer? 4 What is the square root of 67416 to the nearest integer? 260 What is 130887 to the power of 1/7, to the nearest integer? 5 What is the square root of 809 to the nearest integer? 28 What is the square root of 4080 to the nearest integer? 64 What is 4429 to the power of 1/3, to the nearest integer? 16 What is the third root of 3611 to the nearest integer? 15 What is the square root of 4600 to the nearest integer? 68 What is 4234 to the power of 1/2, to the nearest integer? 65 What is the seventh root of 110959 to the nearest integer? 5 What is the cube root of 11205 to the nearest integer? 22 What is the square root of 1115 to the nearest integer? 33 What is 3328 to the power of 1/6, to the nearest integer? 4 What is the cube root of 157 to the nearest integer? 5 What is 546 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 1801 to the nearest integer? 2 What is 58177 to the power of 1/3, to the nearest integer? 39 What is 3898 to the power of 1/3, to the nearest integer? 16 What is the third root of 4170 to the nearest integer? 16 What is 12877 to the power of 1/9, to the nearest integer? 3 What is the sixth root of 1356 to the nearest integer? 3 What is 5592 to the power of 1/3, to the nearest integer? 18 What is 845 to the power of 1/6, to the nearest integer? 3 What is the eighth root of 21417 to the nearest integer? 3 What is the ninth root of 622 to the nearest integer? 2 What is 7409 to the power of 1/2, to the nearest integer? 86 What is the sixth root of 13866 to the nearest integer? 5 What is 2617 to the power of 1/6, to the nearest integer? 4 What is 34985 to the power of 1/10, to the nearest integer? 3 What is 23829 to the power of 1/2, to the nearest integer? 154 What is the cube root of 265 to the nearest integer? 6 What is 34066 to the power of 1/2, to the nearest integer? 185 What is 11596 to the power of 1/8, to the nearest integer? 3 What is 8457 to the power of 1/3, to the nearest integer? 20 What is the sixth root of 3079 to the nearest integer? 4 What is the square root of 20924 to the nearest integer? 145 What is 4043 to the power of 1/10, to the nearest integer? 2 What is 5204 to the power of 1/3, to the nearest integer? 17 What is 15 to the power of 1/2, to the nearest integer? 4 What is the cube root of 3137 to the nearest integer? 15 What is the third root of 2432 to the nearest integer? 13 What is the seventh root of 1183 to the nearest integer? 3 What is the fifth root of 3984 to the nearest integer? 5 What is 26188 to the power of 1/3, to the nearest integer? 30 What is the cube root of 1793 to the nearest integer? 12 What is the fourth root of 17010 to the nearest integer? 11 What is the square root of 15439 to the nearest integer? 124 What is the sixth root of 52 to the nearest integer? 2 What is the eighth root of 782 to the nearest integer? 2 What is 3208 to the power of 1/6, to the nearest integer? 4 What is 82 to the power of 1/3, to the nearest integer? 4 What is the square root of 13048 to the nearest integer? 114 What is the seventh root of 186 to the nearest integer? 2 What is the sixth root of 6495 to the nearest integer? 4 What is the cube root of 71946 to the nearest integer? 42 What is the seventh root of 10692 to the nearest integer? 4 What is 11975 to the power of 1/4, to the nearest integer? 10 What is 849 to the power of 1/8, to the nearest integer? 2 What is 17386 to the power of 1/7, to the nearest integer? 4 What is 31330 to the power of 1/8, to the nearest integer? 4 What is 14021 to the power of 1/4, to the nearest integer? 11 What is 2869 to the power of 1/6, to the nearest integer? 4 What is the square root of 1734 to the nearest integer? 42 What is the tenth root of 66598 to the nearest integer? 3 What is the third root of 148982 to the nearest integer? 53 What is the sixth root of 8912 to the nearest integer? 5 What is 1076 to the power of 1/3, to the nearest integer? 10 What is the square root of 63245 to the nearest integer? 251 What is the third root of 69334 to the nearest integer? 41 What is the sixth root of 17973 to the nearest integer? 5 What is the third root of 896 to the nearest integer? 10 What is 3103 to the power of 1/2, to the nearest integer? 56 What is the square root of 4117 to t
{ "pile_set_name": "DM Mathematics" }
give l. -31212 Express (0 + 166*d**2 + 431*d**3 + 0 - 166*d**2)*(0 - 2 + 10)*(4*d + 0 + 0) in the form h*d + c*d**3 + o*d**4 + w + x*d**2 and give o. 13792 Express 333*r**3 - 464*r**3 - 3*r**2 - r**2 + r**2 + 275*r**3 as g*r**2 + m*r**3 + w + a*r and give w. 0 Rearrange (-1 + 3 - 3)*(1 - 1 - x) + 61*x + 27*x - 21*x + x + 3 + 3 - 4 to the form g + w*x and give w. 69 Express (61*m - 61*m + 5*m**4)*((-1 + 0 - 1)*(-3 + 1 + 0) - 10 + 0 + 3)*(-2 - 1 + 2)*(0 + 0 + 1)*(2 + 2 + 0) as u*m**2 + k + c*m + t*m**3 + x*m**4 and give u. 0 Rearrange (3*o**2 - o**2 - 3*o**2)*(7165*o + 7777*o - 2446*o) to the form y*o**3 + x + u*o + j*o**2 and give y. -12496 Express -36*h + 1068 - 2132 - 8*h**2 - 42*h + 23*h + 1079 in the form f*h**2 + b*h + d and give d. 15 Express 7094 + 8862 - 12479 - 2*g as c*g + q and give q. 3477 Express 41181*b**2 + 41181*b**2 + b**4 - 116*b - 82362*b**2 - 24 in the form r + g*b**2 + s*b + q*b**4 + f*b**3 and give r. -24 Rearrange (-38*c**2 - 2*c**2 - 29*c**2)*(21*c + 14*c + 12*c) to the form r*c + d + g*c**3 + a*c**2 and give g. -3243 Express 4*y**4 + 3*y**3 - 3774 + 3802 + 0*y**3 in the form u*y**4 + c + v*y**3 + n*y + t*y**2 and give c. 28 Rearrange (-25*r + 51*r + 443*r)*(24*r - 2 + 33*r - 22*r + 51*r) to the form l + v*r**2 + d*r and give d. -938 Express 9*f + 11*f + 2*f + 18*f - 64*f - 87 in the form l + u*f and give l. -87 Rearrange (-5*p + 2*p + 0*p)*(-273 - 271 + 538) + (-3*p + 3*p - p)*(0 - 3 + 5) - 8*p + 5*p - 6*p to the form h + a*p and give a. 7 Express (-1 + 4*m - 2*m - 2 + (-4*m + 2*m + 3*m)*(-1 - 4 + 3) + 6*m + 2*m - 2*m)*(262 - 573 + 240) in the form i + k*m and give i. 213 Rearrange 6*g**3 - 18*g**3 + 13*g - 14*g + 442 - 2*g**2 + 11*g**3 to the form u + f*g + y*g**3 + v*g**2 and give v. -2 Express -9*i**4 + i**4 + 16*i**4 + (1 + 2 - 1)*(-2*i**4 + 3*i**4 + i**4) + i**4 - 68*i**3 + 139*i**3 - 61*i**3 as l*i**3 + n*i**2 + s*i**4 + x*i + t and give l. 10 Express -9*n + 8327 - 8325 - 371*n**2 + n**3 + 7*n in the form w*n**2 + t*n + k*n**3 + d and give k. 1 Express -867*j - 271*j - 482*j - 1841*j as g*j + l and give g. -3461 Express (-1893 - 2569 - 2849 + 1960)*(5*c + 2 - 2) as k + w*c and give k. 0 Express -2*m**2 + 312871*m**4 - 312875*m**4 - 3*m**3 + m - 2*m - 1 in the form t + a*m**4 + r*m**3 + i*m**2 + u*m and give r. -3 Express -3 - 137*v + v**3 + 5*v - 39*v as o*v + a*v**3 + p + s*v**2 and give o. -171 Express (-27 + 18 - 57)*(-1 + 4 - 4)*(0 - 2 + 3)*(-9*c + 15*c + 14*c) as t*c + z and give t. 1320 Rearrange (-b**3 - 2*b + 2*b)*(5715 + 756 + 9160 + 2495 + 7747) to the form i*b**2 + h + v*b + f*b**3 and give i. 0 Express (-46 + 4027*x - 45 - 50 + 140)*(0*x**2 - 7*x**2 + 0*x**2) in the form b + r*x**2 + u*x + y*x**3 and give y. -28189 Rearrange (-47 - 18 + 0)*(2*z + 0*z - 5*z) + 4*z - 4*z + 7*z to i + h*z and give h. 202 Rearrange 3*l**3 + 17100*l**2 + 5 - 17100*l**2 - 29*l**3 to the form n + y*l + d*l**3 + p*l**2 and give n. 5 Rearrange (2*t - 3*t + 0*t)*((1 + 1 - 3)*(t + 0*t - 2*t) + 89 + 37*t - 89)*(-6*t + 7*t + 18*t) to z + o*t + f*t**3 + y*t**2 and give f. -722 Rearrange (c - 2*c - c)*(-3 + 0 + 1)*(-472971*c + 456 + 236494*c + 236492*c) - c**2 - 4 + 4 + (2*c + 0*c - 3*c)*(0 + c + 0) to b*c + z*c**2 + v and give z. 58 Express -76*v - 1668 + 31*v + 45*v - v**2 in the form c*v**2 + m*v + h and give c. -1 Express 22388*w + 2*w**2 + 22396*w + 6698 - 44784*w as a + s*w + z*w**2 and give z. 2 Rearrange 2882*v + v**2 - 4*v**3 - 5747*v - 161 + 2869*v to the form u*v + a*v**2 + q + k*v**3 and give u. 4 Express 10*d - 301 + 117 - 27 in the form c*d + l and give c. 10 Rearrange (-1 + 5 - 3)*(709*h**3 + 195483*h**2 - 195483*h**2)*(-h + 3 - 3) to u*h**3 + o*h**4 + s*h**2 + j + x*h and give j. 0 Rearrange -7*k**3 - 6*k**3 - 38 + 6*k + 0*k**3 - 17*k**3 + 27*k**3 to h*k + w*k**3 + j + a*k**2 and give w. -3 Rearrange (2*r + 0 + 0)*(0*r - 3*r + r)*(2 + 4 - 4)*(0*r + 27*r - 3*r)*(-13 + 31 - 7) to n*r**2 + y + k*r + q*r**3 and give q. -2112 Express (24 - 30 - 44 - 18)*(-1071*b + 531*b + 485*b)*(-4 - 1 + 3) + 6*b - 2*b - 2*b in the form l + f*b and give l. 0 Express (1 - 29*p + 25*p + 11*p)*(-1342 - 1129 + 2299) as v*p + h and give v. -1204 Rearrange (47*f**3 - 339*f**3 + 16*f**3)*(47*f + 65*f - 14*f) to z*f**3 + j*f + n*f**2 + o + t*f**4 and give t. -27048 Rearrange 1109 + 1103 - 3318 + 1118*n + 1106 to s + z*n and give z. 1118 Express 2049*i**2 - 562*i**2 + 108*i**2 - 250*i**2 + 2196*i**2 as h*i + r + o*i**2 and give o. 3541 Express 60*g**2 - 141*g**2 - 92*g**2 + 69*g**2 - 6 - 320*g**2 in the form s*g + y + b*g**2 and give b. -424 Express -3*f**2 - 16054 + 16093 + 0*f**2 - 2*f + 0*f as y*f**2 + h + m*f and give y. -3 Express (4 + 10 - 5)*(-2 - 2 + 2)*(477 - 477 + 240*g**2) in the form a + x*g**2 + j*g and give x. -4320 Rearrange p**2 - 223*p**3 - 4*p**2 + 2 + 31*p**3 to j + l*p + n*p**2 + f*p**3 and give f. -192 Rearrange 117*v - 82*v - 267*v + 38*v + 3 - 279*v to x*v + c and give x. -473 Express 291*g + 287*g + 5*g**2 - 5 + 282*g + 291*g - 1109*g in the form i*g + a + f*g**2 and give a. -5 Rearrange (-3*w - 9*w - 135*w**2 - 260*w**2 + 13*w)*(5*w + 17*w - 46*w) to the form a*w + n + m*w**2 + j*w**3 and give j. 9480 Express (4*c**3 + c**3 - 938896 + 938795)*(-3*c + 3*c + c) in the form m*c**2 + g + t*c**3 + u*c + k*c**4 and give u. -101 Express -3*f - 2*f + 6*f + (-f + 7*f - 4*f)*(-3 + 3 + 1) - 14*f - 5*f - 20*f + 2*f - 5*f + 4*f + (f - f - 2*f)*(-32 - 58 + 58) in the form v + a*f and give a. 29 Express (2*r - 2*r - 3*r)*(r**2 - 6*r**2 + 3*r**2) - r**2 - 2*r**3 + r**2 + (225 - 25*r - 225)*(5*r**2 + r**2 - 3*r**2) as z*r + q + p*r**3 + y*r**2 and give p. -71 Express 126*w + 4*w**2 + 138*w - 264*w + 21*w**3 + 20 in the form f*w**3 + h*w**2 + y + v*w and give h. 4 Express 55832*d**2 - 1 - 27906*d**2 - 27905*d**2 - 5 - 7*d in the form f*d**2 + o*d + x and give x. -6 Rearrange -896 - 878 + 1774 + 766*r to y + p*r and give p. 766 Rearrange (-5*t + 17*t - 8*t)*(1 + 3 - 3)*(7 - 7 + 42) to the form u + p*t and give p. 168 Express 16 - 2*h**2 - 23*h - 3 - 31 - 2 as o*h**2 + l + y*h and give o. -2 Rearrange 4190*f + 4195*f - 8379*f + 2*f**4 - 6 - 5*f**2 to k*f**4 + u*f**3 + m*f + g + s*f**2 and give s. -5 Express -62*k**2 + 953*k**2 + 1746*k**2 as x*k**2 + q*k + s and give s. 0 Express -133*f**3 + 49*f**3 + 35*f**3 + 62 + 47*f**3 + f as d*f**3 + h + b*f + o*f**2 and give h. 62 Express 14488 - 2*b**3 - 14500 - 14*b**4 + 20*b - 18*b + 3*b**2 in the form j + g*b + w*b**2 + p*b**3 + i*b**4 and give j. -12 Express 84 + 2*s + 14 - 3*s + 11*s**3 + 48 - 64 in the form n*s**3 + o + d*s**2 + k*s and give k. -1 Rearrange -18*g**2 - 73*g**3 - 227*g + 2*g**4 + 338*g - 109*g + 1 to n*g**3 + h*g**4 + a + k*g + b*g**2 and give a. 1 Rearrange 8083905*f - 8083905*f + 2450*f**2 to h + j*f + k*f**2 and give h. 0 Rearrange (-27 + 27 - 12*y + (-65*y + 2082 - 2082)*(1 - 1 - 1))*(-3*y + 3*y + 2*y) to the form s*y**2 + h*y + u and give s. 106 Express (4*p**3 + 26*p**3 + 9*p**3)*(9 - 8 + 5)*(-5*p - 5*p + 3*p) in the form k*p + d*p**4 + j*p**2 + a + w*p**3 and give d. -1638 Express -o + 8658 - 8659 + o - 5201*o**3 in the form d*o**3 + f + l*o + k*o**2 and give l. 0 Rearrange (2*p**3 + p**2 - p**2)*(1 - 3 + 0) + 47632*p - 45682*p - 2*p**3 - 10*p**3 to i*p**3 + r*p + t*p**2 + m and give t. 0 Rearrange -2*a**4 + 9*a**2 - 19 + 21 - a + 2*a**3 - 2*a**4 + 3*a**4 - 3*a**4 to the form m + v*a + t*a**2 + g*a**4 + o*a**3 and give o. 2 Rearrange (-2 - 1 + 2)*(6*z**2 - 2*z**2 - z**2)*(-3*z - z + 5*z) + 9650*z**3 - 103*z**2 + 156*z**2 - 52*z**2 to b*z**3 + c*z**2 + p + l*z and give b. 9647 Rearrange -3716*h**3 + 1856*h**3 + 4*h + 3*h + 18 + 0*h**4 - h**2 + 1861*h**3 + 2*h**4 to the form r*h**4 + o*h + p*h**2 + y + z*h**3 and give p. -1 Rearrange -21700*s + 21675*s - s**3 - 3*s**2 + 17 + 6*s**2 to the form v*s**3 + r + z*s**2 + q*s and give r. 17 Express 217*n - 6*n**2 - 6870755 + 6870755 in the form g*n**2 + y + c*n and give g. -6 Rearrange (-243 + 23*u**3 + 243)*(-4 - 6 + 2)*(1 + 2*u - 1) to the form t*u + z + k*u**3 + h*u**2 + x*u**4 and give x. -368 Express (18*m**3 + 32*m**3 + m**3)*(-245 + 386 + 260 + 370) in the form w*m**2 + s*m + r + n*m**3 and give w. 0 Rearrange -b + 382437 + 9*b - 119*b**2 - 227*b**2 - 382438 to h + i*b**2 + g*b and give g. 8 Rearrange -13*w + 9*w + 9429
{ "pile_set_name": "DM Mathematics" }
0. What is p? -2, -1, 12 Factor 6*o**3 - 3467*o**2 - 4052*o - 579. (o - 579)*(o + 1)*(6*o + 1) Factor -56307*c**2/7 + 14796*c/7 - 972/7. -3*(137*c - 18)**2/7 Factor 3*s**2 + 207*s + 594. 3*(s + 3)*(s + 66) Let 2*v**5/15 + 98*v**4/15 + 596*v**3/5 + 14728*v**2/15 + 52528*v/15 + 21952/5 = 0. Calculate v. -14, -4, -3 Suppose -4*i**2/5 + 128*i - 636/5 = 0. What is i? 1, 159 Factor 4*v**2 + 16*v - 180. 4*(v - 5)*(v + 9) Factor h**3/10 - 9*h**2/2 - 433*h/10 + 477/10. (h - 53)*(h - 1)*(h + 9)/10 Factor -5*j**2 + 50*j - 45. -5*(j - 9)*(j - 1) What is m in 2*m**4/5 - 12*m**3 + 114*m**2/5 - 56*m/5 = 0? 0, 1, 28 Solve 2*n**5 - 18*n**4 + 44*n**3 - 12*n**2 - 46*n + 30 = 0 for n. -1, 1, 3, 5 Suppose -d**3/11 + d**2 + 25*d/11 + 13/11 = 0. What is d? -1, 13 Factor 36*k**5 + 1908*k**4 + 26220*k**3 + 74884*k**2/3 + 24544*k/3 + 2704/3. 4*(k + 26)**2*(3*k + 1)**3/3 Solve -r**4 - r**3 + 6*r**2 + 4*r - 8 = 0. -2, 1, 2 Factor 2*c**3 + 30*c**2. 2*c**2*(c + 15) What is l in -l**3/2 + 695*l**2/2 - 121103*l/2 + 120409/2 = 0? 1, 347 Let u**3/10 + 3*u**2/2 - 27*u/5 = 0. What is u? -18, 0, 3 Factor -2*l**3 - 996*l**2 - 994*l. -2*l*(l + 1)*(l + 497) Solve -35*q**5 + 145*q**4 + 15*q**3 - 145*q**2 + 20*q = 0. -1, 0, 1/7, 1, 4 Determine l so that l**5/3 + l**4 - 2*l**3 - 10*l**2/3 + 7*l - 3 = 0. -3, 1 Factor -s**2 + 266*s. -s*(s - 266) Factor -a**5/2 + 11*a**4/2 - 21*a**3 + 35*a**2 - 53*a/2 + 15/2. -(a - 5)*(a - 3)*(a - 1)**3/2 Find i, given that -4*i**5/3 - 4*i**4/3 + 8*i**3/3 + 8*i**2/3 - 4*i/3 - 4/3 = 0. -1, 1 Find s such that -3*s**4/2 + 27*s**3/4 - 3*s**2 = 0. 0, 1/2, 4 Solve -2*x**2/5 + 14*x/5 = 0 for x. 0, 7 Solve 3*c**5/5 - 18*c**4/5 - 84*c**3/5 + 234*c**2/5 + 513*c/5 - 648/5 = 0. -3, 1, 3, 8 Factor 2*d**3 - 288*d**2 + 286*d. 2*d*(d - 143)*(d - 1) Determine p, given that 2*p**4/21 - 8*p**3/7 + 30*p**2/7 - 116*p/21 + 16/7 = 0. 1, 4, 6 Factor -4*d**4 + 108*d**3 - 456*d**2 + 352*d. -4*d*(d - 22)*(d - 4)*(d - 1) Factor -2*a**2/5 + 66*a/5 - 124/5. -2*(a - 31)*(a - 2)/5 Find c, given that 4*c**4 + 60*c**3 - 72*c**2 - 128*c = 0. -16, -1, 0, 2 Find b, given that 98*b**4/5 + 336*b**3/5 - 454*b**2/5 - 204*b - 80 = 0. -4, -5/7, 2 Factor -2*u**3/9 + 28*u**2/9 - 64*u/9 - 256/9. -2*(u - 8)**2*(u + 2)/9 Suppose r**3/4 - 11*r**2/2 - 15*r/4 + 450 = 0. Calculate r. -8, 15 Factor -5*k**2 - 40*k - 75. -5*(k + 3)*(k + 5) Find o such that -7*o**3/9 - 190*o**2/9 = 0. -190/7, 0 Solve 5*p**4 - 30*p**3 + 160*p = 0 for p. -2, 0, 4 Factor o**5/7 - 5*o**4/7 - 5*o**3/7 + 25*o**2/7 + 40*o/7 + 16/7. (o - 4)**2*(o + 1)**3/7 Let a**5/4 + 13*a**4/4 + 27*a**3/4 - 41*a**2/4 - 29*a - 15 = 0. What is a? -10, -3, -1, 2 Suppose -c**4/9 - 5*c**3/3 - 10*c**2/9 + 20*c/3 + 56/9 = 0. What is c? -14, -2, -1, 2 Factor -v**2/3 + 11*v + 70/3. -(v - 35)*(v + 2)/3 What is q in -3*q**4 - 42*q**3 + 261*q**2 - 444*q + 228 = 0? -19, 1, 2 Factor m**4/4 + m**3 - 3*m**2/4 - 7*m/2 - 2. (m - 2)*(m + 1)**2*(m + 4)/4 Find i such that 3*i**2/7 - 54*i/7 - 264/7 = 0. -4, 22 Factor 4*q**4 + 628*q**3 + 22304*q**2 - 188272*q. 4*q*(q - 7)*(q + 82)**2 Factor -619*r**2 - 618*r + 1. -(r + 1)*(619*r - 1) Solve -u**3/4 - 37*u**2/2 - 661*u/4 - 336 = 0. -64, -7, -3 Solve 3*s**3 + 297*s**2 + 9801*s + 107811 = 0. -33 Let n**3 + 10*n**2 + 9*n = 0. Calculate n. -9, -1, 0 Factor -u**2 - 99*u + 100. -(u - 1)*(u + 100) Factor 10*s**3/7 + 4*s**2/3. 2*s**2*(15*s + 14)/21 Let -t**5/5 - 3*t**4 - 63*t**3/5 - 17*t**2 - 36*t/5 = 0. What is t? -9, -4, -1, 0 Find j such that -j**4/11 + 26*j**2/11 - 25/11 = 0. -5, -1, 1, 5 Find j, given that 18*j**3/7 - 17*j**2/7 - j/7 = 0. -1/18, 0, 1 Factor 25*i**4 - 55*i**3 + 35*i**2 - 5*i. 5*i*(i - 1)**2*(5*i - 1) Solve -2249868*n**2 - 15588*n - 27 = 0 for n. -3/866 Factor 2*t**5/7 + 2*t**4/7 - 4*t**3/7 - 4*t**2/7 + 2*t/7 + 2/7. 2*(t - 1)**2*(t + 1)**3/7 What is l in 2*l**2 + 12638*l - 12640 = 0? -6320, 1 Factor 3*q**3 - 744*q**2 + 45375*q + 93750. 3*(q - 125)**2*(q + 2) Determine n so that 50*n**2 - 1540*n + 11858 = 0. 77/5 Suppose k**4 + 23*k**3 + 41*k**2 - 23*k - 42 = 0. What is k? -21, -2, -1, 1 Determine c so that 4*c**4 - 104*c**3 + 100*c**2 = 0. 0, 1, 25 Factor 3*g**2/5 + 288*g + 34560. 3*(g + 240)**2/5 Factor 3*d**3 - 96*d**2 + 768*d. 3*d*(d - 16)**2 Let -l**3/5 - 27*l**2 + 1128*l/5 - 2288/5 = 0. Calculate l. -143, 4 Suppose k**2/3 - 2*k + 5/3 = 0. What is k? 1, 5 Factor -82*k**2/9 + 88*k/9 - 2/3. -2*(k - 1)*(41*k - 3)/9 Factor 27*p**4 + 207*p**3 - 357*p**2 - 303*p - 54. 3*(p - 2)*(p + 9)*(3*p + 1)**2 Suppose 12*y**5/5 - 87*y**4/5 + 93*y**3/5 - 18*y**2/5 = 0. What is y? 0, 1/4, 1, 6 Let 2*d**2/5 - 316*d/5 + 624/5 = 0. Calculate d. 2, 156 Factor -2*y**2/19 - 68*y/19 - 66/19. -2*(y + 1)*(y + 33)/19 Factor -2*v**2/5 - 26*v. -2*v*(v + 65)/5 Let -5*i**3 + 130*i**2 + 5*i - 130 = 0. What is i? -1, 1, 26 Suppose i**4/5 + 612*i**3/5 = 0. What is i? -612, 0 Determine d, given that -32*d**4/5 - 176*d**3/5 + 1214*d**2/5 + 1036*d + 4704/5 = 0. -8, -7/4, 6 Factor 3*y**3 - 24*y**2. 3*y**2*(y - 8) Factor -528125*f**3 - 524875*f**2 + 3245*f - 5. -5*(f + 1)*(325*f - 1)**2 What is b in -2*b**2/3 + 10*b/3 + 4 = 0? -1, 6 Factor 2*l**3/11 + 138*l**2/11 + 48*l + 520/11. 2*(l + 2)**2*(l + 65)/11 Find u such that -174*u**2 + 524*u - 6 = 0. 1/87, 3 Suppose -2*h**3/7 + 10*h**2/7 - 8*h/7 = 0. Calculate h. 0, 1, 4 Let u**4/5 - 72*u**3/5 - 74*u**2/5 + 72*u/5 + 73/5 = 0. What is u? -1, 1, 73 Find h such that 2*h**5/5 - 16*h**4/5 + 18*h**3/5 + 52*h**2/5 - 104*h/5 + 48/5 = 0. -2, 1, 2, 6 Find j, given that 45*j**4/2 - 273*j**3/2 + 513*j**2/2 - 303*j/2 + 9 = 0. 1/15, 1, 2, 3 Let -4*z**2 + 24*z - 20 = 0. What is z? 1, 5 Factor -2*p**3/7 + 36*p**2/7 - 216*p/7 + 432/7. -2*(p - 6)**3/7 Suppose -4*w**5 - 16*w**4 + 12*w**3 + 72*w**2 = 0. What is w? -3, 0, 2 Solve 28*v**4 + 248*v**3 - 68*v**2 - 288*v = 0 for v. -9, -1, 0, 8/7 Let 4*b**2 + 40*b - 44 = 0. What is b? -11, 1 What is d in -5*d**5 + 25*d**4 + 205*d**3 - 765*d**2 - 2160*d + 2700 = 0? -5, -3, 1, 6 Factor 5*m**2 + 185*m + 180. 5*(m + 1)*(m + 36) Determine p, given that 2*p**2/5 - 12*p - 198/5 = 0. -3, 33 Factor -m**2/5 - 687*m - 3434/5. -(m + 1)*(m + 3434)/5 Solve -15*j**4 + 85*j**3 - 35*j**2 - 85*j + 50 = 0 for j. -1, 2/3, 1, 5 Let 3*q**3/5 + 81*q**2/5 + 366*q/5 - 216 = 0. What is q? -20, -9, 2 Solve 2*o**2 + 16*o = 0. -8, 0 Let p**2/2 - 43*p/2 - 22 = 0. What is p? -1, 44 Factor -4*u**4/3 - 8*u**3 + 44*u**2/3 + 80*u - 400/3. -4*(u - 2)**2*(u + 5)**2/3 Solve 6*g**2/7 + 62*g/7 - 120/7 = 0 for g. -12, 5/3 Let -12*p**3/11 - 90*p**2/11 - 114*p/11 - 36/11 = 0. What is p? -6, -1, -1/2 Suppose 16*k**2/3 - 110*k/3 = 0. Calculate k. 0, 55/8 Factor -r**5 + 19*r**4 + 42*r**3. -r**3*(r - 21)*(r + 2) Factor 4*z**4 + 32*z**3 + 48*z**2. 4*z**2*(z + 2)*(z + 6) Suppose 2*m**4 + 8*m**3 + 10*m**2 + 4*m = 0. What is m? -2, -1, 0 Factor 2*l**4/3 - 752*l**3/3 + 35344*l**2 - 6644672*l/3 + 156149792/3. 2*(l - 94)**4/3 Solve 4*s**4 - 160*s**3 - 336*s**2 = 0. -2, 0, 42 Factor -f**2/4 - 145*f/2 - 289/4. -(f + 1)*(f + 289)/4 Factor -t**3/3 + 49*t**2 + 298*t/3. -t*(t - 149)*(t + 2)/3 Let c**2/4 - 185*c/4 + 623/2 = 0. What is c? 7, 178 Factor 32*f**5/5 - 2080*f**4 + 252976*f**3 - 13603328*f**2 + 268506314*f + 1411823522/5. 2*(f + 1)*(2*f - 163)**4/5 Solve f**3 + 2*f**2 - 15*f = 0 for f. -5, 0, 3 Find g such that 2*g**5/3 - 34*g**4/3 + 196*g**3/3 - 440*g**2/3 + 112*g = 0. 0, 2, 6, 7 Factor -3*b**2/5 - 1624*b/5 + 1084/5. -(b + 542)*(3*b - 2)/5 Determine o so that -2*o**5 + 614*o**4 + 1236*o**3 + 4*o**2 - 1234*o - 618 = 0. -1, 1, 309 Factor -y**2/5 + 256*y/5 - 51. -(y - 255)*(y - 1)/5 Let 77*w**4/4 - 729*w**3/4 - 221*w**2/2 + 81*w - 10 = 0. Calculate w. -1, 2/11, 2/7, 10 Factor 3*t**3/7 - 354*t**2/7 - 3*t/7 + 354/7. 3*(t - 118)*(t - 1)*(t + 1)/7 Let -5*j**3 - 20*j**2 + 15*j + 90 = 0. What is j? -3, 2 Factor -4*z**4 + 80*z**3 - 68*z**2 - 152*z. -4*z*(z - 19)*(z - 2)*(z + 1) Suppose 4*c**4 - 172*c**3 + 2340*c**2 - 8100*c - 27000 = 0. Calculate c. -2, 15 Factor 4*r**3 - 6*r**2 - 24*r - 14. 2*(r + 1)**2*(2*r - 7) Let -9*b**5/4 + 69*b**4/2 - 373*b**3/4 + 34*b**2 + 59*b + 12 = 0. Calculate b. -1/3, 2, 12 Solve k**5 + 14*k**4 + 68*k**3 + 136*k**2 + 96*k = 0. -6, -4, -2, 0 Factor -x**2/4 - 41*x - 163/4. -(x + 1)*(x + 163)/4 What is z in 56*z**2 - 508*z + 36 = 0? 1/14, 9 Factor -4*l**3 + 76*l**2 - 200*l + 128. -4*(l - 16)*(l - 2)*(l -
{ "pile_set_name": "DM Mathematics" }
+ j + 2) to u*j + s and give u. -924 Express 9*w**2 - 64*w**2 - 5 + 44*w**2 + 14*w**2 - 13*w as k + v*w + f*w**2 and give f. 3 Express -204 - 192 - 201 + 36702*o + 597 in the form q + x*o and give x. 36702 Express (-4569*h - 6641*h - 9451*h + 1306*h)*(2*h**2 - 3*h**2 - h**2) as z*h**3 + x*h + k*h**2 + p and give z. 38710 Rearrange -40 - c + 338*c**2 - 844*c**2 + 42 to the form b + m*c**2 + f*c and give m. -506 Express -d**4 + 0*d**2 - 34 - d**2 + 37 + 61 + 3*d**3 as h + q*d**2 + z*d**3 + c*d**4 + r*d and give h. 64 Express 22*w - 3 - 61*w + 24*w + 38 + 18*w in the form q + n*w and give q. 35 Rearrange (-2 - 1 + 1)*(45*a - 17 + 17)*(17 + 36 - 40)*(3 + 2 - 2) to p*a + g and give p. -3510 Express (22 + 37 - 71)*(-4*t - t + 3*t)*(-t**2 + 0*t**2 + 2*t**2) - 25*t**3 - 33*t**3 + 46*t**3 as p + h*t**2 + i*t + d*t**3 and give d. 12 Rearrange (-4*t**3 - t**3 + 3*t**3 + (-119 + 119 + 80*t**2)*(-5*t - t - 2*t))*(0*t + 2*t - t) to g + b*t**2 + f*t + r*t**4 + d*t**3 and give r. -642 Express 300*a - 1550*a - 6591*a as q*a + f and give q. -7841 Rearrange 2*n**4 - 43*n - 3*n - 3021*n**2 + 1 - 4*n**3 + 3022*n**2 + 5*n**3 to the form c*n**4 + l*n**3 + q + g*n**2 + j*n and give l. 1 Rearrange (4 + r - 4)*(4*r - r - 5*r) + 181*r**2 + 22 - 114*r**2 - 55*r**2 to the form l + b*r**2 + s*r and give l. 22 Express -20 + 20 + 12*f**2 + (-7*f + f + 2*f)*(-149 + 149 - 33*f) as j*f + y*f**2 + v and give v. 0 Rearrange (6 + 5 - 5)*(-3 + 6 - 1)*(3 + 0 + 3)*((3*f + f - 6*f)*(2 + 0 - 1) + 92*f + 23*f - 41*f) to c*f + h and give c. 5184 Express (0*n + 2*n + 0*n)*(-99*n - 191 + 96 + 68) as s*n**2 + l*n + k and give l. -54 Express (-23 + 15*s - 16*s + 2)*(-4*s**3 + 4*s**3 - s**3 + (3*s - 2*s - 3*s)*(-2*s**2 + 5*s**2 + 5*s**2)) as x*s**3 + t + n*s**2 + a*s**4 + h*s and give x. 357 Rearrange -1 + 38389*s**2 + 37362*s**2 - 79271*s**2 to the form b + r*s + c*s**2 and give b. -1 Express (7 + 7 + 2)*(5 - 3 - 1)*(-17 + 9 + 15 - n)*(-5 - 25 + 1) in the form i + p*n and give p. 464 Rearrange -19*i**4 - 4*i**4 + i**4 + (82*i**2 - 21*i**3 - 82*i**2)*(2*i + 1 - 1) to the form x + q*i**3 + a*i**4 + w*i**2 + f*i and give a. -64 Express (-g + 1 - 1)*(-2 + 1 + 3) + 4 - 4 + 5*g + (0*g + 4*g - 2*g)*(0 + 2 - 1) - 3*g + 22*g - 4*g in the form j + r*g and give r. 20 Express 605 - 18*n**2 + 27*n**3 + n - 38*n**2 - 606 as h*n**2 + s*n + r + k*n**3 and give k. 27 Express (117 + 17922*f + 17924*f - 73 + 146 - 35848*f)*(1 - 2 + 4) as g*f + b and give g. -6 Rearrange 4495 - 9267 + 4341 - 5*j to o + t*j and give o. -431 Express 405 - 407 + c**3 - 89*c - 2*c**2 + 47*c - 133*c - 44*c as x*c + f + j*c**2 + s*c**3 and give x. -219 Rearrange (-95*k - 2*k - 12*k)*(1 + 8 + 14 + 18) to z + b*k and give b. -4469 Express 19 - 16 - 28 + 2*z + 7*z**3 - 34 as t*z**3 + s*z**2 + r*z + o and give o. -59 Express -64*z + 0*z**3 + z**3 + 70*z - z**2 - 12*z - 2 - 21*z in the form s*z**2 + h*z + o + f*z**3 and give h. -27 Express 2658 + 2563 - 8*c - 5158 as h + k*c and give k. -8 Rearrange (23 - 36 + 23)*(-22341 + 22341 + 39*y**2 + 1552*y**2) to the form s*y**2 + b*y + f and give s. 15910 Express (-2 + 0 + 3)*(2*m**3 + 3*m**3 - 3*m**3) + 193*m**3 + 515 - 515 + (-3*m**2 - 3 + 3)*(-3*m + 4*m + m) as o + f*m**3 + w*m**2 + a*m and give f. 189 Express (-3*z**2 + z**2 + 7*z**2)*(-893 - 901 + 1820 - 48*z) as s*z**2 + b*z + g + p*z**3 and give p. -240 Express (-5 + 4 - 1)*(-1 + 0 + 0)*(-19 - 1202*y + 19 + 6795*y) as a + z*y and give z. 11186 Express -247118 + 123523 + 123553 + 10*q in the form w*q + j and give j. -42 Rearrange 4*d**2 - 4*d**2 + 4*d**4 + (-250*d**3 + 32*d**3 - 210*d**3)*(0 + 0 + 2*d) to n*d**3 + t*d**2 + g*d + f + b*d**4 and give b. -852 Express -260*m - 21*m - 36*m - 76*m + 0*m**2 - 1 + 4*m**2 as b + y*m + d*m**2 and give d. 4 Express -17*y - 26*y - 19*y + 12316*y**2 - 29*y + 93*y in the form j*y**2 + x + a*y and give a. 2 Express 44*v - 13*v + 2*v**3 - 9*v + 3093*v**2 - 9*v - 11*v as o + z*v**2 + p*v + a*v**3 and give p. 2 Rearrange 2*b**2 - 3*b + 413*b**4 - 807*b**4 + 391*b**4 + 109*b**2 to the form x*b**3 + q*b + p*b**2 + r*b**4 + w and give p. 111 Express 56*i**2 - 36*i**2 - 38*i**2 - 8 in the form b*i + q*i**2 + w and give w. -8 Rearrange m**3 - 58*m**4 - 314*m**2 + 314*m**2 + 57*m**4 - 189 to d*m**2 + s*m**4 + c + b*m + u*m**3 and give c. -189 Express 4 - 26 - 2*g + 18 - g**2 + 5 + 199*g**3 as t*g**2 + h + x*g + p*g**3 and give h. 1 Rearrange -3*q**3 + q**3 - 3663 + 15052 to m*q**3 + d*q**2 + v*q + p and give m. -2 Express -17 - 528*n**2 + 17*n**3 + 527*n**2 - 2 + (-1 - 5 + 3)*(-n - 2 + 2)*(3*n**2 - 4*n**2 + 2*n**2) in the form j + d*n**3 + f*n**2 + q*n and give f. -1 Rearrange (-482 + 219 - 296)*(4*o - 3*o - 3*o) - 3 + 3 - 2*o to the form y*o + d and give y. 1116 Express (3*j**3 - 2*j**3 - 2*j**3)*(-2 - 3 + 3)*(3 - 1 - 4) + 385*j - 742*j + 369*j + 31*j**3 in the form u + y*j**3 + t*j**2 + n*j and give y. 27 Rearrange -291*j - 72*j + 539*j - 51*j - 5 + j**2 to the form u*j + x*j**2 + n and give x. 1 Rearrange -838 - 9*n + 12*n + 238 to the form s + o*n and give s. -600 Rearrange (-16*q + 2 + 3 - 5)*(0*q**2 + 16*q**2 + 93*q**2) to s*q**2 + m*q + k*q**3 + w and give k. -1744 Express -47 - 53*i**2 + 8*i**2 - 15*i + 17*i + 47*i**2 as o + r*i + z*i**2 and give o. -47 Rearrange (-6*i**2 + 2*i**2 + 3*i**2)*(1 - 2 + 0) + i**2 + 0 + 0 + (298*i - 154*i + 227*i)*(4*i + i - 2*i) to h*i + a*i**2 + s and give a. 1115 Rearrange (5*s**2 - 4*s**2 + 0*s**2 + (2 + 3 - 3)*(s**2 - s**2 + s**2) + 27 - 27 - 49*s**2)*(40687 - 40687 - 123*s) to j*s + a + b*s**3 + q*s**2 and give q. 0 Express -3*j**2 - 289 + 104*j - 6*j**3 + 296 - 104*j in the form i*j + y + x*j**2 + l*j**3 and give x. -3 Rearrange -14840*j**2 - 4086 + 29680*j**2 - 14842*j**2 to the form h*j**2 + f*j + q and give q. -4086 Rearrange 1 - 11 + 7 + 2*j**2 + 42 - 6*j to the form x + k*j + g*j**2 and give x. 39 Express 3 - 1479*c + 399*c - 3 - 1927*c as l + d*c and give d. -3007 Rearrange -1944*i - 849 + 5830*i - 1940*i + i**2 - 1943*i + 2*i**2 to the form a*i**2 + c + m*i and give a. 3 Rearrange (-3*k - 1 + 1 + (-5 + 5 - 12)*(0 + 0 + 3*k))*(-31 - 37 + 45) to m*k + x and give m. 897 Rearrange 2*c**3 - 2*c**2 - 1322600*c**4 + 2*c - 4*c**3 - 11 + 1322596*c**4 to q*c**3 + m*c**4 + n*c + t*c**2 + z and give t. -2 Rearrange 141 - 4*p - 276 - 3*p**2 + 129 + (-2*p + 0*p + p)*(3 + 3 - 5)*(5 + 3*p - 5) to l*p**2 + w*p + o and give o. -6 Rearrange -383917*b + 382785*b - 3 + 1 to the form o*b + c and give c. -2 Rearrange 297*h + 10075*h + 3819*h + 4301*h + 3365*h to m*h + r and give m. 21857 Express -4*q**3 - 1619*q + 0*q**3 - 159*q**2 + 157*q**2 + 6*q**3 in the form y*q**2 + o*q + v + r*q**3 and give o. -1619 Express v**2 + 636*v**4 + 0*v**2 + 606*v**4 + 5*v**3 + 4*v**3 - 1265*v**4 - v in the form z + k*v + f*v**4 + a*v**2 + x*v**3 and give x. 9 Express (-7*x + 2 - 2 + (x - 2*x - x)*(-2 + 2 + 1))*(-x**2 - 2*x**2 + 9*x**2) in the form d*x + q + i*x**3 + b*x**2 and give i. -54 Express (2 + 2 + j + 0)*((-2 - 6 + 3)*(0 + 2 + 0) + 1 + 4 + 32)*(2*j - j**2 - 2*j) in the form q*j**3 + i*j + d*j**2 + h and give h. 0 Rearrange -841053*c + 0 + 62*c**3 + 1 + 841050*c + 2*c**2 to y + d*c + m*c**2 + p*c**3 and give d. -3 Rearrange (-2114*m**2 + 2 + 50153*m**2 + 3721*m**2 - 2)*(-3*m + 6*m + 2*m) to the form h*m**2 + v + u*m + a*m**3 and give h. 0 Rearrange -x**2 + 1 - 1 + (-12*x - 6*x - 9*x)*(93*x + 124 - 154 - 20*x) to t*x + s*x**2 + u and give s. -1972 Rearrange -17 + 17 - 7589*h - 9258*h to m*h + y and give m. -16847 Express -4*q**4 - 1 + 321*q + 5*q**3 + 2*q**2 - 7*q**3 - 323*q in the form r + u*q**4 + h*q**3 + w*q**2 + i*q and give u. -4 Rearrange 14*r**4 - 14*r**3 - 10*r**4 - 1 + 17*r**3 - 21*r + 2*r**4 + 60*r - r**2 to p + y*r**4 + m*r + h*r**3 + f*r**2 and give y. 6 Rearrange 3*x + 0 - 2 + 0*x + (-3*x + 3*x + 5*x)*(-9460 - 6360 + 21233) to the form i*x + a and give i. 27068 Express (-2 + 2 - y**2)*(-61 + 71 - 46) - 411 + 411 - y**2 + 18*y as k + u*y + q*y**2 and give q. 35 Rearrange 2*p + 2396628*p**3 - 3 - 2*p**2 - 2395999*p**3 + 0 to d*p**3 + v*p + n + j*p**2 and give d. 629 Rearrange 2206*h**2 - 6*h - 1099*h**2 - 1108*h**2 - 59 to o*h**2 + j*h + m and give o. -1 Express -18 - 9 + 27 - 16689*i + 1582*i as l + o*i and give o. -15107 Rearrange 0*f - f + 2*f + (1 - 1 - 6)*(29*f - 4*f - 8*f)
{ "pile_set_name": "DM Mathematics" }
*2 + 5 wrt n. 51258*n + 52*s**2 Differentiate 41*f**3*s - 13377*f**3 + 13*f**2*s - 6 wrt s. 41*f**3 + 13*f**2 Find the second derivative of -1280232*b**4 - 111729*b wrt b. -15362784*b**2 Differentiate -2*p**2 - 44359*p + 85261. -4*p - 44359 Find the third derivative of 1178939*n**3*u**3 + 4905*n**3 - 24*n*u**2 + 1 wrt u. 7073634*n**3 Differentiate 1277222*t*u**3 + 77*u**3 + 357*u**2 + 4*u - 2 wrt t. 1277222*u**3 Find the second derivative of -33131*d**3*v**3 - 2*d**3*v - 18*d*v**3 - 9*d*v**2 + d*v + 24*v**3 wrt d. -198786*d*v**3 - 12*d*v Find the second derivative of 93*o**2*s**3 + 21*o**2*s**2 - o**2*s - 678*o*s - 6*o + 2*s**2 wrt s. 558*o**2*s + 42*o**2 + 4 Differentiate g*i**2*p - 4132*g*i**2 - 5*g*i*p + 3*g + 6*i**2*p - 4*p wrt p. g*i**2 - 5*g*i + 6*i**2 - 4 Differentiate 8*f**2*i**3*t - 7*f**2 - 22*f*i**3*t - 3*f*i**3 + 1702*f*i**2 - 51*f*t + 2*i**3 with respect to t. 8*f**2*i**3 - 22*f*i**3 - 51*f What is the first derivative of -d*n**2 - 47414*d*n + 5847*d + 11 wrt n? -2*d*n - 47414*d Differentiate -301144*b + 1211175. -301144 Find the first derivative of -f*w**3 + 4373183*f + 128571*w**4 - 3*w wrt w. -3*f*w**2 + 514284*w**3 - 3 What is the third derivative of 62039*a**5 - 6*a**2 - 4398*a + 1? 3722340*a**2 Find the third derivative of 892*q**6 - q**5 - 4*q**4 - 6938*q**2 - 33 wrt q. 107040*q**3 - 60*q**2 - 96*q What is the first derivative of 1798343*n - 1710335? 1798343 Find the second derivative of -6134*c**2*d**3 + 4*c**2 - 81*c*d**3 + c*d**2 - c wrt c. -12268*d**3 + 8 What is the second derivative of l**3*m + 74054*l**2*m + 722*l*m - l + 4*m - 1 wrt l? 6*l*m + 148108*m Differentiate -11542*u*v + 5*u - 65346*v - 9 wrt u. -11542*v + 5 What is the third derivative of -4416615*u**4 + 42*u**2 + 15372 wrt u? -105998760*u Differentiate -2*l**3 - 52679*l**2 + l + 142712. -6*l**2 - 105358*l + 1 What is the second derivative of 47047*w**2 - w - 17469 wrt w? 94094 Find the second derivative of 743374*r**4 + 10672*r. 8920488*r**2 What is the second derivative of -21318*l*n**2*t - 2*l*n**2 + 952*l*n*t + 2*n**2*t - 3*n**2 - 2*n*t - 4*n + t + 1 wrt n? -42636*l*t - 4*l + 4*t - 6 Find the second derivative of 196*b**4*s**3 - 145*b**3*s**3 - 50905*b + 11*s**3 wrt b. 2352*b**2*s**3 - 870*b*s**3 What is the second derivative of 16*l**4 + 597*l**3 + l**2 - 3*l + 16645? 192*l**2 + 3582*l + 2 Find the third derivative of -15711*l**3*z**2 - 28*l**3*z - 51723*l**2*z**2 + 8*z**2 wrt l. -94266*z**2 - 168*z Find the second derivative of 1688363*a*i**2 - 4*a - 46612*i - 2 wrt i. 3376726*a Find the second derivative of 3*a**4 + 87525*a**3 + 2*a**2 + 815*a - 4 wrt a. 36*a**2 + 525150*a + 4 Find the second derivative of -167*l**5 - 380*l**4*r - 78*l + 436*r wrt l. -3340*l**3 - 4560*l**2*r What is the third derivative of 2*z**6 - 649*z**5 + 10*z**4 - 150229*z**2 wrt z? 240*z**3 - 38940*z**2 + 240*z What is the second derivative of 5193962*l**3 + 191713*l? 31163772*l Differentiate h*r**2*w + 951*h*r**2 + 22*h*r - 2*h*w**2 + 1508*r**3*w - 2*r**3 - 2*r - 5*w wrt w. h*r**2 - 4*h*w + 1508*r**3 - 5 What is the third derivative of -370932*a*y**3 - a*y**2 - a*y - 4*y**3 - 2*y**2 - 8*y + 18375 wrt y? -2225592*a - 24 Differentiate -8*f**3*l**4 + 6010*f**3*l - 58165*f**3 with respect to l. -32*f**3*l**3 + 6010*f**3 Differentiate 79735*z**3 + 19665 with respect to z. 239205*z**2 Find the second derivative of 5*z**5 - z**4 + 472*z**2 + 279*z - 97 wrt z. 100*z**3 - 12*z**2 + 944 What is the third derivative of -37409*f**4 + 10588*f**2 - 2*f? -897816*f What is the third derivative of -3764935*v**3*w - 140038*v**2 + 3*w wrt v? -22589610*w What is the third derivative of d**3*h + 11246*d**3 - 2*d**2*h + 2*d + 694*h - 3 wrt d? 6*h + 67476 What is the first derivative of 2232487*j**4 - 916857? 8929948*j**3 What is the third derivative of 47703*a**5 + 7228*a**2 - a? 2862180*a**2 Find the third derivative of 803894*v**3 - 1231988*v**2. 4823364 What is the second derivative of 151*j**3 + 2*j**2*r**2 + 20*j**2 - 24*j*r - 140*r**2 + r wrt j? 906*j + 4*r**2 + 40 What is the first derivative of -7*x**4 + 133*x**3 - 3*x**2 - 21807 wrt x? -28*x**3 + 399*x**2 - 6*x What is the third derivative of -29444*j**3*u**3 - 3*j**3*u - j**3 - 129*j**2*u + 25*j*u**3 + 48*j wrt j? -176664*u**3 - 18*u - 6 What is the first derivative of -2630746*p**2 - 2711760? -5261492*p What is the first derivative of 53444*y**2 - 39771? 106888*y What is the second derivative of 73*a**4 - 9*a**3 + a**2 - 127387*a - 1 wrt a? 876*a**2 - 54*a + 2 Find the second derivative of -3*h**4 - 4328*h**3 - h**2 - 3333*h. -36*h**2 - 25968*h - 2 What is the first derivative of -11*p**2*v - p**2 - 1739*p - 3*v - 2468 wrt p? -22*p*v - 2*p - 1739 What is the third derivative of -15718*m**3*n**3 - m**3*n**2*y + 3*m**2*n**3 + 38*m**2*n*y - 60*m*n**3*y - n**3*y wrt m? -94308*n**3 - 6*n**2*y What is the third derivative of -29024*k**3 - 2238*k**2? -174144 Find the third derivative of -2*m**2*w**3 - 6*m**2*w**2 + 2*m**2 + m*w**3 + 69*w**3 - 13*w**2 + 9*w wrt w. -12*m**2 + 6*m + 414 Find the first derivative of -21*c*i - 68*c*o - 35*c - 3*i**2*o + 14*i**2 + 3 wrt i. -21*c - 6*i*o + 28*i What is the third derivative of -48*n**5*q + n**4*q + 60*n**4 + 676*n**2*q - 4*n**2 - 3*n*q + 1 wrt n? -2880*n**2*q + 24*n*q + 1440*n What is the second derivative of -145518*d**2*q**2 - 2*d**2*q - 201*d**2 + 2*d*q + d wrt q? -291036*d**2 Differentiate 136726*b - 1146534. 136726 What is the derivative of -39*t**3 - 17918*t*w**3 - 3206493*w**3 wrt t? -117*t**2 - 17918*w**3 Differentiate -567*w**4 + w**3 + 2*w**2 - 58217 with respect to w. -2268*w**3 + 3*w**2 + 4*w What is the second derivative of -96635*g**3*m - g**2*m - 2*g*m + 31837*m + 2 wrt g? -579810*g*m - 2*m Find the second derivative of 933*o*q**2 + 10*o*q - 141*o - 20*q**4 - 7*q wrt q. 1866*o - 240*q**2 Find the third derivative of -39126*v**3 + 138986*v**2 wrt v. -234756 What is the second derivative of -275*m*q*u**2 - 318*m*u**2 - 74*m*u - 5032*m + 4*q*u**2 + 4*q - u**2 wrt u? -550*m*q - 636*m + 8*q - 2 What is the third derivative of -2848662*b**6 + 9*b**2 - 41490*b? -341839440*b**3 Find the third derivative of -6*c**5 + 48035*c**3 - 3346877*c**2 wrt c. -360*c**2 + 288210 What is the third derivative of -24*t**5 - 3042*t**4 + 24*t**2 - 110*t - 27? -1440*t**2 - 73008*t Find the second derivative of -399272*h**3*l**2 - 19*h**3*l + 4664*h*l wrt l. -798544*h**3 What is the derivative of 241*h**2*y + 2*h**2 - h*y - 14*h - 84038*y - 1 wrt h? 482*h*y + 4*h - y - 14 Differentiate -1378682*q*t**3*w + 128514*t**3*w - 4*w with respect to q. -1378682*t**3*w What is the first derivative of f**2*z + 2*f**2 + 288*z**4 + 49*z**3 + 34767 wrt z? f**2 + 1152*z**3 + 147*z**2 What is the third derivative of -45578*z**4 + 5*z**2 - 94*z + 9 wrt z? -1093872*z What is the third derivative of 219384*i**4 + 134*i**2 + 19*i - 8? 5265216*i Find the third derivative of 1423765*x**3*y**2 - 155*x**2*y**2 - 347*x**2 - 4*x*y**2 wrt x. 8542590*y**2 Find the second derivative of -2*f**5*i + 6056*f**5 + 2*f**2*i - 45*f*i + 15*f + i + 19 wrt f. -40*f**3*i + 121120*f**3 + 4*i What is the second derivative of 2*l**3*q - 1190*l**3 - 4*l**2*q + l**2 - 112*l*q + l + 56*q wrt l? 12*l*q - 7140*l - 8*q + 2 Differentiate 2507*q**4 + 108*q**3 - 2229388. 10028*q**3 + 324*q**2 Find the second derivative of 4*a**2*d**2 - 4*a**2*v - 2747*a*d*v*x - 14*a*v*x + 1832*d**3*v - 2*d**3*x + 2*d wrt d. 8*a**2 + 10992*d*v - 12*d*x What is the derivative of -3053455*h**4 - 1847677? -12213820*h**3 Find the third derivative of 28710*b**3 - 14126*b**2. 172260 What is the first derivative of -5*t*z**2 - 20*t*z + 5*t - 2*z**2 + 1500 wrt z? -10*t*z - 20*t - 4*z What is the third derivative of f**6 - 5454*f**4 - 6*f**3 - 175120*f**2 + 2*f wrt f? 120*f**3 - 130896*f - 36 What is the second derivative of -619325*h**5 - 381965*h wrt h? -12386500*h**3 What is the third derivative of -38792*z**3 - z**2 + 3*z - 2379 wrt z? -232752 What is the third derivative of -76*j*t**3*u**3 + 3*j*t**3*u**2*w - j*t**3*u**2 - 12*j*t*u**2 + 475*j*u**3*w**2 - 12*j*u*w + 2*t**3*u*w**2 + 2*t**2*w**2 wrt u? -456*j*t**3 + 2850*j*w**2 Find the third derivative of 509*s**2*y**4 + 267*s**2*y**2 + s**2*y + 405*s*y**6 + 70*y**2 - 2 wrt y. 12216*s**2*y + 48600*s*y**3 Find the second derivative of
{ "pile_set_name": "DM Mathematics" }
ivided by -96? -893 -406086 divided by -7662 53 0 divided by -137849 0 Calculate -233009 divided by 1. -233009 Calculate 0 divided by 9514. 0 Divide -756695 by 151339. -5 What is 7949780 divided by 5? 1589956 Calculate 11595 divided by -3865. -3 24174 divided by 24174 1 Divide -10 by 13044. -5/6522 Calculate -438 divided by -3102. 73/517 -46391 divided by -2017 23 Divide 4 by 34496. 1/8624 -25 divided by -423 25/423 What is -10260 divided by -5130? 2 241488 divided by -43 -5616 Calculate 167728 divided by -1. -167728 Calculate -17 divided by 4304. -17/4304 What is 1153520 divided by 40? 28838 Divide -131887 by 227. -581 What is -108000 divided by -5? 21600 -372 divided by 47 -372/47 Calculate 5 divided by -48970. -1/9794 Divide -2053557 by -3. 684519 Divide -223040 by -656. 340 -280584 divided by -24 11691 What is -13112 divided by -88? 149 What is 55746 divided by -2? -27873 Divide -709505 by 41. -17305 Calculate 5224112 divided by 4. 1306028 Calculate 1 divided by -27471. -1/27471 Calculate -6611 divided by 601. -11 Divide 3037 by 228. 3037/228 Divide 688020 by 6. 114670 Calculate -2102650 divided by -5. 420530 Divide -385600 by -77120. 5 268107 divided by 21 12767 120281 divided by 7 17183 Calculate 415 divided by 54. 415/54 Calculate -122473 divided by -1. 122473 -12 divided by 30566 -6/15283 Divide -4606083 by -3. 1535361 Calculate -4 divided by -4154. 2/2077 What is 27 divided by 780? 9/260 Divide 5 by -16524. -5/16524 Calculate 3 divided by 20470. 3/20470 Divide -68363 by 499. -137 Divide -41139 by 63. -653 What is 1441710 divided by -30? -48057 What is 63540 divided by 3? 21180 Calculate -5 divided by -107820. 1/21564 Calculate -5150775 divided by 1716925. -3 Divide -114695 by 1015. -113 66198 divided by 649 102 What is -7 divided by 92326? -7/92326 298 divided by 5292 149/2646 Calculate 408730 divided by 5. 81746 What is 28544 divided by -1784? -16 Divide 34439 by -10. -34439/10 1358535 divided by -9635 -141 What is 193 divided by 23? 193/23 What is 480 divided by 480? 1 Calculate 556695 divided by 45. 12371 141806 divided by 98 1447 Calculate 0 divided by -101369. 0 What is -171928 divided by 21491? -8 1156 divided by -4 -289 What is -3863 divided by 13? -3863/13 Calculate -318 divided by -1580. 159/790 -21396 divided by -2 10698 Calculate 3 divided by -51879. -1/17293 Calculate -11489 divided by -1. 11489 Calculate 636207 divided by 13. 48939 Divide 365926 by -8. -182963/4 4147 divided by -4 -4147/4 -30726 divided by -6 5121 Divide 2915799 by -3. -971933 Divide 0 by 36661. 0 Divide 74 by 43437. 74/43437 Divide -6 by 8054. -3/4027 Calculate -4 divided by -111798. 2/55899 What is 3604 divided by -53? -68 Divide -1318506 by 3. -439502 Calculate 24633 divided by 8211. 3 101516 divided by -82 -1238 Calculate 7289 divided by 19. 7289/19 695 divided by -54 -695/54 What is 1905 divided by 5? 381 Calculate 47124 divided by -21. -2244 Calculate -67306 divided by 461. -146 3460500 divided by -3 -1153500 8242398 divided by 13446 613 930912 divided by 4 232728 Calculate 91170 divided by -2. -45585 What is -1 divided by 340793? -1/340793 Calculate -204390 divided by 6813. -30 -51710 divided by -9 51710/9 What is 1307353 divided by -6? -1307353/6 Calculate 68438 divided by -2. -34219 Calculate 5 divided by -172101. -5/172101 Calculate -82091 divided by -13. 82091/13 What is 0 divided by 20121? 0 1307135 divided by -261427 -5 What is 2425 divided by 472? 2425/472 What is -52899 divided by 9? -17633/3 What is 111354 divided by 7? 111354/7 Calculate 341257 divided by 1. 341257 Divide 605 by -161. -605/161 Divide 55977 by -397. -141 Calculate -5 divided by 11099. -5/11099 341538 divided by -1 -341538 Divide 921448 by -44. -20942 85808 divided by 4 21452 What is 0 divided by 1810? 0 Divide -264712 by 4. -66178 Calculate -4910 divided by 2. -2455 Calculate 185223 divided by 61741. 3 Divide -8805 by -168. 2935/56 Calculate -117789 divided by 3. -39263 Divide -855368 by -106921. 8 -13255904 divided by 2 -6627952 -450041 divided by 5 -450041/5 What is 1430232 divided by 24? 59593 56960 divided by -356 -160 Calculate 98864 divided by 2. 49432 Divide -118627 by -6. 118627/6 -197675 divided by 197675 -1 2 divided by 44844 1/22422 298747 divided by -9637 -31 Calculate -64 divided by -1303. 64/1303 What is -9112 divided by -68? 134 -6 divided by 141360 -1/23560 Divide -21368 by -5. 21368/5 What is -2726086 divided by 17? -160358 Calculate 11124540 divided by 4. 2781135 Calculate -10157 divided by 321. -10157/321 Divide -4162 by 22. -2081/11 -3829056 divided by -12432 308 What is -851828 divided by 3? -851828/3 What is 3 divided by 3752? 3/3752 153 divided by -122 -153/122 What is 20774 divided by 1222? 17 Divide 3156881 by -791. -3991 Divide -651612 by 39. -16708 Calculate 361 divided by -751. -361/751 What is 768120 divided by 1480? 519 What is -1 divided by -12969? 1/12969 What is 5 divided by 14810? 1/2962 Calculate 27055 divided by -4. -27055/4 -6 divided by -137992 3/68996 11272 divided by 11272 1 Calculate 16176 divided by 16176. 1 -17066 divided by 88 -8533/44 Divide 0 by 786927. 0 Divide 8979 by -8979. -1 Divide 3893104 by 15698. 248 Divide -140206 by 140206. -1 Divide -9000 by 23. -9000/23 What is 0 divided by -17384? 0 -535068 divided by 18 -29726 6701 divided by 133 6701/133 Calculate -113798 divided by 1. -113798 Divide -68284 by 8. -17071/2 Divide 108196 by 22. 4918 -2155 divided by 24 -2155/24 Divide 75262 by -622. -121 Divide -12907480 by -2. 6453740 Calculate 0 divided by 20587. 0 Calculate 69208 divided by 8. 8651 -29 divided by -31950 29/31950 -360 divided by -355 72/71 Calculate 65 divided by -133. -65/133 Calculate 5 divided by -132031. -5/132031 What is 92916 divided by -356? -261 What is -4 divided by 129212? -1/32303 Calculate 765212 divided by 2. 382606 Calculate -1197 divided by 238. -171/34 What is -2360 divided by 1? -2360 What is 83280 divided by -5? -16656 187062 divided by 3 62354 Divide 1 by -2. -1/2 1 divided by 158002 1/158002 What is -815 divided by 125? -163/25 Divide 2189600 by 13685. 160 Calculate -18681 divided by 6227. -3 Calculate -28 divided by -1433. 28/1433 What is -13796 divided by 2? -6898 3027 divided by -1 -3027 10 divided by 929 10/929 Calculate 16888 divided by 1. 16888 What is -755755 divided by 455? -1661 Calculate 1122561 divided by -2277. -493 What is -2761824 divided by 172614? -16 3 divided by 9080 3/9080 Calculate 1643 divided by 15. 1643/15 What is -1070 divided by 17? -1070/17 Calculate 0 divided by -2644. 0 What is -306875 divided by 25? -12275 What is -476289 divided by 51? -9339 -1 divided by 343488 -1/343488 Calculate -10270 divided by 13. -790 Divide -761015 by 5. -152203 Calculate 35 divided by -17534. -35/17534 -2142 divided by 759 -714/253 289 divided by -491 -289/491 Divide -1771978 by -8018. 221 16 divided by -1101 -16/1101 Calculate 160417 divided by -3. -160417/3 -180149 divided by 17 -10597 Calculate -153349 divided by 133. -1153 Divide -604 by 1327. -604/1327 -672 divided by -3 224 Calculate 409170 divided by 30. 13639 18385 divided by -10 -3677/2 Calculate -5 divided by 14986. -5/14986 -1 divided by -349359 1/349359 -14288 divided by -16 893 Calculate 1183281 divided by -759. -1559 What is 599612 divided by 46124? 13 What is -507101 divided by 7? -72443 Divide 50343 by -173. -291 What is -127744 divided by 31936? -4 What is 55332 divided by -6? -9222 Calculate -941967 divided by -13. 72459 Calculate 256356 divided by -4. -64089 Divide 43 by -325. -43/325 What is -165868 divided by 2? -82934 What is -240748 divided by -1? 240748 Divide -8035 by -5. 1607 -49160 divided by -8 6145 Calculate -64272 divided by 16068. -4 What is -21630 divided by -29? 21630/29 Calculate -1266753 divided by -40863. 31 5038736 divided by -7681 -656 -596268 divided by -3 198756 What is -530384 divided by 4? -132596 1200472 divided by 182 6596 What is 23916 divided by 1993? 12 Calculate 113505 divided by -5. -22701 Calculate 1654563 divided by -31. -53373 Divide -9312 by -3. 3104 What is -3231 divided by -1? 3231 What is -251680 divided by 2? -125840 What is -630864 divided by 156? -4044 What is 81170 divided by -16234? -5 What is 69248 divided by -16? -4328 What is -1126770 divided by 6? -187795 What is -17364
{ "pile_set_name": "DM Mathematics" }
. Suppose 15 = -5*l - v. Calculate c(l). -11 Let i(p) = -p**2 - p + 7. Suppose 9*d = 4*d. Calculate i(d). 7 Let a(v) = -2*v**3 + 4*v**2 - 4*v + 2. Let n = -12 + 14. Determine a(n). -6 Suppose 0 = 5*y + 4*p - 20, y - 5*p + 25 + 0 = 0. Let h = 9 - 4. Suppose y = -6*d + d + h. Let r(m) = 2*m. Give r(d). 2 Suppose 10*x + 5 = 35. Let j(n) = -11*n + 8. Let h(k) = 17*k - 12. Let t(q) = -5*h(q) - 8*j(q). Calculate t(x). 5 Suppose 0 = -3*c - 4*x - 24 - 8, 3*x + 27 = -3*c. Let s = 3 + c. Let o(r) = -r + 1. Let l(y) = 3*y**2 - 3*y + 6. Let b(g) = -l(g) + 5*o(g). Determine b(s). -2 Let y(k) = k**2 + 5*k - 3. Let t be (-10)/(-8) + (-6)/(-8). Suppose -t*q - 15 = -5*q. Suppose 4*g + 3*a - 2*a + 25 = 0, 0 = -q*g + 2*a - 15. Determine y(g). -3 Let i(s) = -3*s + 1. Let j(g) = 2*g - 1. Let x(f) = 5*i(f) + 8*j(f). Give x(6). 3 Let f(z) = 2*z - 7. Let b be f(5). Let d be ((-1)/b)/(2/(-18)). Let n(g) = -g**3 + 3*g**2 + 2. Calculate n(d). 2 Let r(g) = g**2 - 20*g - 15. Let a be r(21). Let f(b) = -b + 3. Determine f(a). -3 Let s(g) = -3 + 0 + 4 + 5*g. Let d(f) = 4*f**2 + 9*f - 11 - 3*f**2 + 2*f. Let c be d(-12). What is s(c)? 6 Let p(q) = q - 6. Let y(x) = -x + 7. Let d(u) = -4*p(u) - 3*y(u). Give d(3). 0 Let z(g) be the third derivative of -g**7/2520 + g**6/720 - g**5/15 + 4*g**2. Let y(x) be the third derivative of z(x). What is y(2)? -3 Let x(j) be the second derivative of j**3/3 - 4*j**2 + 2*j. Let i(h) = 2*h - 18. Let o be i(12). Determine x(o). 4 Suppose -18 = -4*d + 2*t, -t = 5*d - 3*t - 22. Let c(p) be the second derivative of 0*p**2 - 1/12*p**d - 2*p - 2/3*p**3 + 0. Give c(-2). 4 Let s(d) be the first derivative of d**6/360 + d**5/20 + d**4/6 + d**3/3 - 4. Let o(g) be the third derivative of s(g). What is o(-4)? -4 Let s(t) = t**2 - t + 18. Let w = -23 + 23. Determine s(w). 18 Let y(b) = b**2 + 3*b - 3. Let m(v) be the first derivative of -v**4/4 + 2*v**3 - 5*v**2/2 - 4*v + 1. Let g be m(5). What is y(g)? 1 Let c(v) = 3*v - 2*v - 1 - 2*v. Let w be c(1). Let x(y) = 3*y + 22 - 22. Give x(w). -6 Let f(i) = -i**3 + 6*i**2 - 5*i. Suppose 2*s = 3*s + 14. Let p = 28 + s. Suppose -5*b = -r - 20, 4*b = r + p + 1. Calculate f(b). 0 Suppose 19 + 3 = 2*i + 2*v, -2 = 2*v. Let d(j) = j**2 - 11*j - 15. Calculate d(i). -3 Let f = 5 - 4. Let a(m) = 2*m**2 + 1. Let y be a(f). Let t(w) = -w - 4*w + 3*w - 1 + y. Determine t(-2). 6 Suppose 4*m = -5 + 17. Suppose m*j = -7 + 19. Let r(x) = 3*x + x**3 - j - 3*x + 2 - x + 5*x**2. Calculate r(-5). 3 Let i(q) = -8*q + 13. Let u(h) = -h - 1. Let z(v) = -6*v + 13. Let d(s) = u(s) + z(s). Let m(n) = -7*d(n) + 6*i(n). Determine m(5). -1 Let x be 3/(-9)*(1*-3)/(-1). Let w(z) = 17*z**3 + z**2 + z + 1. Calculate w(x). -16 Let r(k) be the third derivative of -k**4/12 - 2*k**3/3 - 5*k**2. Calculate r(4). -12 Let d(h) = 90 + 0*h - h**2 - 88 + h. Give d(5). -18 Let f be (-8)/4*1*-1. Let d be 16/5 - f/10. Let g(x) = -5*x - x**3 + 3 - 5*x**2 + 2*x**3 + 3*x**2. Determine g(d). -3 Suppose i - 5*d + 14 = 0, i - 5 + 3 = -3*d. Let n(q) = 2*q. Give n(i). -8 Let s(a) = -a**2 + 3*a - 4. Let o(t) = -t**2 + 3. Let l(m) = -m**2 + m + 4. Let d(b) = -2*l(b) + 3*o(b). Let i be d(-2). Suppose -2 - i = -n. What is s(n)? -4 Let w(c) = c**2 + c + 2. Let u be w(-2). Let x be (u + -2 + -1)*-11. Let j = x + 9. Let f(o) = -o**3 - o**2 - 2*o - 3. Calculate f(j). 5 Let d be (-1 - -1)/(10 + -8). Let m(f) = 2*f**2 - f**3 + d + 2*f - 4 + 7 + 2*f**3. Let y be (1/1)/(1/(-2)). What is m(y)? -1 Let o = 57 - 62. Let f(n) = -n**3 - 3*n**2 + 7*n - 2. Determine f(o). 13 Let s = 124 + -119. Let t(c) = -c + 11. What is t(s)? 6 Suppose 2*y + 0*j = j, -j + 6 = y. Let o(i) = 0*i - i - y*i + 5*i. Calculate o(-2). -4 Let p be (6/(-4))/(9/12). Let j(x) be the first derivative of -x**4/4 + x**2 + 2. Give j(p). 4 Let k(a) = a**2 + 13*a - 19. Let t be k(-14). Let f(q) = -4*q - 4. Give f(t). 16 Let g(q) = q**3 + 7*q**2 - 4*q - 6. Let f(i) = -i**3 - 6*i**2 + 3*i + 5. Let x(j) = -3*f(j) - 2*g(j). Suppose -4 = -3*t - 16. Determine x(t). 1 Let v(b) = b. Let w be v(4). Suppose -w*c = c. Let k(a) = -a - 1. Calculate k(c). -1 Let z = -18 + 19. Let h be (10/30)/(z/(-6)). Let m(g) = -3*g**3 - 4*g**2 - g + 2. Calculate m(h). 12 Let i(w) = w**2 - 5*w + 7. Suppose n - 5*u - 5 = 0, -5*n + 7*u + 25 = 4*u. Calculate i(n). 7 Let d(o) = o**2 - 7*o + 5. Suppose 3*p + 4 = 16. Suppose -5*j + 6 = -p*j. What is d(j)? -1 Let n(f) = -13*f - 9. Suppose 0 = -u + 4*u + 21. Let g(j) = -6*j - 4. Let y(c) = u*g(c) + 3*n(c). Suppose -2*k - 2 = -0. Calculate y(k). -2 Let z(l) be the first derivative of l**4/4 + 5*l**3/3 + 4*l - 37. Calculate z(-5). 4 Let d(r) = -r**2 - 4*r + 8. Let w be 23/5 - (-2)/5. Let q = w - 18. Let z = 7 + q. What is d(z)? -4 Let q be 16/6 - 4/6. Suppose q*b + 4 = 4*b. Let h(j) = 2*j**2 - 3*j. What is h(b)? 2 Suppose 5 = 2*u - 5. Let i(m) = m. Let c(w) = -5*w + 1. Suppose -4 = -0*t - 4*t. Let p(n) = t*c(n) + 4*i(n). Give p(u). -4 Let o be (-1 - (-14)/8)*-4. Let n(a) = a**2 - 2. Let f = -14 - -3. Let r(m) = 6*m**2 + m - 11. Let q(x) = f*n(x) + 2*r(x). Calculate q(o). 3 Let f(k) = -k**3 - 3*k**2 + 6*k + 2. Let t(b) = -b**2 - 2*b - 1. Let h be t(-5). Let y = 11 + h. Let x = -9 - y. Give f(x). -6 Suppose -2*w = -2*n - 12, -w = -6*w - 2*n + 44. Let g be w/(-3) + 1/(-3). Let d(y) = -5*y - 3. Determine d(g). 12 Let p(a) = 30 - 15 - 10 - a. Calculate p(-7). 12 Let a(b) be the third derivative of b**7/420 + b**6/360 - b**5/120 - b**4/24 - 2*b**3/3 - 5*b**2. Let o(j) be the first derivative of a(j). What is o(-1)? -1 Let y(b) = b + 1. Suppose -2*z - 5 + 1 = 0. Give y(z). -1 Let n(h) = -h**2 - 2*h + 1. Suppose 5*f + 21 = 4*l, -2*l - 2*f + 10 = l. Suppose 2 = -u + l. Suppose 5*g + u = 7. What is n(g)? -2 Let o(l) = -l**2 - 7*l - 9. Let k be (-231)/22*2/3. What is o(k)? -9 Let b(x) = 2*x - 7. Suppose 0 = -0*z + 4*z - 24. Give b(z). 5 Let p be 1 - -2*(-2)/(-4). Let j(u) = 3*u - 3*u**p + 6*u**2 - 2*u. What is j(-1)? 2 Let w(m) be the third derivative of -m**5/60 + m**4/8 - m**3/6 - 3*m**2. Calculate w(4). -5 Let b = 11 - 4. Let h = b + -4. Let x(k) = -k**3 + 4*k**2 - 4*k + 3. Determine x(h). 0 Let p(i) = -4*i**2 + i**3 + 2*i - 2*i + 3 + 0*i. Let w be ((-6)/(-4))/((-15)/(-40)). What is p(w)? 3 Suppose b - 9 = u, 0 = b + u - 4 - 1. Let x(z) be the first derivative of -2 - 1/2*z**2 - b*z. What is x(0)? -7 Let o = -18 + 11. Let y(c) = 2*c + 4. Determine y(o). -10 Let t(f) = 5 - 3 + 11*f**3 + 2*f**2 - 3*f**2 - 10*f**3. What is t(2)? 6 Let w(v) = -4*v**3 + v. Let u(p) = -p + 9. Let m be u(8). Determine w(m). -3 Let m(q) be the first derivative of 1/2*q**2 + 1/4*q**4 + 1 + 0*q + 2/3*q**3. Let g(v) = -v**2 - v - 2. Let z be g(0). Calculate m(z). -2 Let v be 81/5 - (-2)/(-10). Suppose n + 3*w = -4, -3*w - v = 3*n + n. Let i(z) = z**3 + 5*z**2 + z - 2. Determine i(n). 10 Let k(a) = 10*a - 5. Let d be k(1). Let j(v) be the second derivative of v**4/12 - v**3/2 - v**2/2 - v. Determine j(d). 9 Suppose 2 = 6*j - 4. Let n(g) = 3 + j - 2*g - 5 + 3*g. What is n(6)? 5 Let u(w) be the first derivative of -w**4/4 - 4*w**3/3 - w**2 - 6*w - 1. Suppose 0*y + 22 = -2*t - 2*y, 4*t = 5*y - 44. Let z = t + 7. Calculate u(z). 2 Suppose r + 4 = -r. Let b(a) = -15*a**2 - 1 - a**3 - a + 0 + 12*a**2. What is b(r)? -3 Let p(t) = -6*t**3 - t**2 - 12*t + 2. Let g(h) = -5*h**3 - 2*h**2 - 11*h + 1. Let r(o) = o - 19. Let w be r(14). Let v(k) = w*g(k) + 4*p(k). Determine v(-5). -7 Let i(b) = -9*b**3 - 5*b**2 - 10*b. Let y(n) = -5*n**3 - 2*n**2 - 5*n. Let w(h) = 4*i(h) - 7*y(h). Determine w(-4). -12 Let n(v) = 3 + v - 2*v - v. Suppose -d + 5*c - 5 = 0, -5*d + 5*c + 44 = 3*c. Suppose -2*i = -7*i + d. Calculate n(i). -1 Let y(v) = 7*v - 13. Let r(q) = -11*q + 20. Let i(x) = -5*r(x) - 8*y(x). Give i(5). -1 Let h(j) = j**3 - 2*j**2 + j. Let u = 2 + -16. Let z be ((-4)/u)/((-7)/(-49)). What is h(z)? 2 Let c(k) be the third derivative of 1/30*k**5 + 0 + 1/60*k**6 + 1/24*k**4 - 1/6*k**3 + 0*k - 3*k**2. Calculate c(-2). -11 Let m(n) = -n**3 - 5*n**2 + 7*n + 2. Suppose 0 = 7*a - a + 36. Determine m(a). -4 Let o be -5 + (-3 - -1) + 0. Let d = o + 10. Let k(m) = 1 + m**d + 4*m**2 - 2*m**3 + 4*m - 3. Give k(5). -7 Suppose -2*a = -5*a + 12. Let h(l) = l - 6*l**2 - 4*l**3 - a + 3*l**2 + 3*l**3. Give h(-4). 8 Let t(y) = y**2 + 3*y + 3. Let l(s) = -s**3 + 5*s - 4. L
{ "pile_set_name": "DM Mathematics" }
+ 4*r - 38*r**2. Give f(i(m)). -114*m**2 Let a(r) = -3*r. Let g(z) be the third derivative of z**4/12 - 12*z**2. What is g(a(o))? -6*o Let b(q) = -4*q + 6. Let y(d) = -d + 1. Let n(x) = b(x) - 6*y(x). Let o(l) = -l**2. Calculate o(n(f)). -4*f**2 Let y(o) = 2. Let i(g) = -g - 4. Let q(u) = 3*i(u) + 6*y(u). Let l(d) = 7*d. Give q(l(s)). -21*s Let w(s) be the second derivative of s**3/3 + 9*s. Let t(p) = -7*p**2. Calculate t(w(a)). -28*a**2 Let b(f) = -118*f + 1. Let u(v) = v. Give b(u(i)). -118*i + 1 Let z(j) = -4*j**2 + 9*j + 9. Let t(p) = -p**2 + 2*p + 2. Let b(h) = 9*t(h) - 2*z(h). Let g(l) be the second derivative of 5*l**4/12 - l. Give g(b(s)). 5*s**4 Let a(z) = 148 + z**2 - 148. Let w(t) = -t. Let j(o) = 4*o. Let s(d) = -2*j(d) - 9*w(d). What is s(a(b))? b**2 Let h(x) be the third derivative of x**5/20 + 2*x**2. Let g(p) be the second derivative of p**4/12 - 7*p. Calculate h(g(y)). 3*y**4 Let n(t) = 14*t**2. Let r(l) = 0 + 8 - l - 8. Give n(r(i)). 14*i**2 Let v(m) = -6*m. Let o(c) = -2*c - 4*c + 13*c - 8*c. What is v(o(p))? 6*p Let p = -1 + 3. Let u(x) = 2 - x**p - 1 - 1. Let s(w) = 2*w**2. What is s(u(i))? 2*i**4 Let a(v) = v. Let p = -43 - -41. Let d(f) = -f. Let x(k) = p*d(k) + a(k). Let s(z) be the second derivative of -z**4/12 + z. Give s(x(r)). -9*r**2 Let y = 12 - 10. Let l(z) = -y*z + z - 4*z + z. Let d(u) = 2*u. What is l(d(m))? -8*m Let a(o) = -27*o. Let z(q) = -q - 79. Calculate z(a(s)). 27*s - 79 Suppose 0 = -3*d + 6 + 3. Let k(s) = -d*s**2 + 6*s**2 - 4*s**2. Let i(u) = -u**2. What is k(i(b))? -b**4 Let w(b) = -26*b. Let i(h) = 14*h**2. Calculate w(i(d)). -364*d**2 Let v(p) = -p + 7. Suppose -3*m + 23 = 8. Let i be v(m). Let x(q) = 6*q**2 + q**2 - q**i. Let h(w) = w**2. Determine h(x(t)). 36*t**4 Let n(c) = -4*c**2 + 16*c - c**2 - 16*c. Let q(l) = l**2. What is q(n(d))? 25*d**4 Let b(y) = -209*y. Let n(k) = -k**2. Determine n(b(c)). -43681*c**2 Let y = 3 - -6. Let q(n) = 9 - y - n. Let w(v) = -2*v. Determine w(q(a)). 2*a Let f(q) = q**2. Suppose -r = -5*g + 10, g + 4*r = 3 - 1. Suppose 7*v = m + 4*v + 13, m + 8 = g*v. Let j(i) = 5*i**2 - i**2 - i**m. Give j(f(z)). 3*z**4 Let y(t) = -2*t**2. Let f(p) be the third derivative of p**2 - 1/12*p**4 + 0 + 0*p + 0*p**3. Calculate y(f(x)). -8*x**2 Let w(p) = 2*p. Let i(s) = 2*s - 8. Let j be i(6). Let c = -2 + j. Let g(m) = m + c*m + m. What is w(g(x))? 8*x Let a(w) = -2*w**2. Suppose 2*h + 5*v = 7 + 17, 18 = 5*h + 2*v. Suppose -u + 3 = -2*s - 0, -h*s + 10 = 0. Let x(t) = u - 10 + 4*t - 3. Calculate a(x(j)). -32*j**2 Let m(c) = -21*c. Let k(l) = -13*l. Give m(k(g)). 273*g Let p(z) = 4*z. Let v(h) = -1. Let d(w) = 3*w - 27. Let i(a) = 2*d(a) - 54*v(a). Calculate p(i(u)). 24*u Let d(a) = a**2. Let q(m) = m**2 - m. Let l(y) = 60*y**2 - 75*y. Let c(n) = l(n) - 75*q(n). Determine c(d(z)). -15*z**4 Let z(h) = h. Let t(p) be the second derivative of -p**5/24 - p**3/6 - 2*p. Let l(x) be the second derivative of t(x). Give l(z(j)). -5*j Let x(q) be the first derivative of -3*q**2/2 - 24. Let n(j) = 4*j. Determine n(x(g)). -12*g Let c(w) = 0 + 2*w**2 + 0. Let u(m) = -3*m + 7. Let a(s) = s - 2. Let i(b) = -7*a(b) - 2*u(b). What is c(i(d))? 2*d**2 Suppose 0 = 2*a - b - 1, -a + 3*b + 1 = 4*a. Let r(g) = -2*g**a + 2 - 2. Let u(f) be the third derivative of f**5/12 - 6*f**2. Calculate u(r(h)). 20*h**4 Let p(q) = -q + 4*q - q. Let a(j) = -j**2 + 7*j - 2. Let c be a(6). Let w(l) = -c*l - l + l + 2*l. What is p(w(h))? -4*h Let w(c) = c. Let d(j) = -2444*j. Calculate w(d(k)). -2444*k Let f(v) = 24*v. Let q(u) = -39*u**2. Calculate q(f(i)). -22464*i**2 Let k(a) = 2*a. Let y(r) = r - 574. What is k(y(g))? 2*g - 1148 Let n(j) = -24*j. Let o(q) = 12*q**2. Give o(n(x)). 6912*x**2 Let t(q) = -q. Let s(f) = 8*f - 6. Determine t(s(d)). -8*d + 6 Let g(x) = -x**2. Let n(u) = -82*u. Give n(g(j)). 82*j**2 Let r(n) = 300*n**2. Let c(i) = 26*i**2. Determine r(c(u)). 202800*u**4 Let j(o) = -o. Let w(v) = -15*v - 11*v + 21*v. Let k(c) = 4*j(c) - w(c). Let y(d) = 3*d + 1 - 1. What is k(y(a))? 3*a Let z(t) = 17*t. Let x(w) = 4*w. Let j(d) = 26*x(d) - 6*z(d). Let h(s) = -11*s. Determine h(j(v)). -22*v Let w(k) be the third derivative of 0*k**4 + 0*k + 0 + 2*k**2 + 0*k**3 - 1/60*k**5. Let f(o) = -o**2. What is w(f(r))? -r**4 Let d(q) = -q. Let o(b) = -7*b - 3. Let z(c) be the third derivative of 5*c**4/6 + 4*c**3/3 - 4*c**2. Let m(j) = -8*o(j) - 3*z(j). Give m(d(i)). 4*i Let p(b) = -7*b + 4. Let u(m) = -5*m**2. What is p(u(l))? 35*l**2 + 4 Let g(z) = 37*z. Let k(n) = -5*n**2. Calculate k(g(f)). -6845*f**2 Let f(m) = 0*m + 7*m - m. Let h(k) = -6*k**2 + 11*k**2 + k**2 - 5*k**2. Calculate f(h(r)). 6*r**2 Let c(f) = 2. Let s(l) = -20*l + 15. Let g(u) = -7*u + 5. Let i(d) = 17*g(d) - 6*s(d). Let h(m) = 5*c(m) + 2*i(m). Let t(k) = -2*k**2. Give h(t(j)). -4*j**2 Let k(v) be the second derivative of v**4/12 - 8*v. Let x(d) = 12*d**2. Determine k(x(s)). 144*s**4 Let n(l) = -180*l - 7. Let w(f) = 2*f**2. What is n(w(p))? -360*p**2 - 7 Let k(a) = a**3 + 4*a**2 - 7*a - 2. Let f be k(-5). Let v(o) = -o**3 - o**2 - 2. Let w be v(-2). Let r(x) = f - 8 - w*x**2. Let j(g) = 2*g. Calculate r(j(n)). -8*n**2 Let f = 5 + -5. Let l = 5 - f. Let u(x) = -2*x + 9 - l - 4. Let o(j) = 3*j**2. Determine o(u(k)). 12*k**2 Let d(o) = o. Let x(j) = j**2 + 8*j + 9. Let i be x(-7). Let u(c) = -c**2 + 4*c**2 - c**i. Calculate d(u(k)). 2*k**2 Let u(l) be the second derivative of l**4/4 + l. Let p(x) = -10*x**2. Determine p(u(o)). -90*o**4 Let l(z) = 36*z. Let x(j) be the second derivative of -j**3/6 - 8*j. Calculate x(l(u)). -36*u Let q(u) = 3*u + 571. Let o(z) = 4*z. Give o(q(k)). 12*k + 2284 Let w(q) be the first derivative of 5/2*q**2 + 0*q + 2. Let l(m) = m. Determine l(w(k)). 5*k Let o(u) = 144*u**2. Let c(b) = 11*b. Determine o(c(n)). 17424*n**2 Suppose -c + t = -7, 2*t = -2*t - 20. Let w(s) = -s**c - 2*s + 2*s. Let i(x) = -18*x + 8*x + 11*x. Determine w(i(b)). -b**2 Let v(g) = g**2. Let x(n) = 20*n**2. Calculate x(v(h)). 20*h**4 Let y(a) = 2*a. Let v = 5 - 3. Let d(k) = -2*k**v - k**2 + 0*k**2 + 2*k**2. Determine d(y(l)). -4*l**2 Let l(z) = -4*z**2. Let o(b) = -21*b + 7. Let u(r) = 11*r - 4. Let m(s) = 4*o(s) + 7*u(s). Calculate m(l(p)). 28*p**2 Let f(o) = 2*o. Let y(c) = 10*c + 3. Let j(s) = 161*s + 49. Let q(u) = 3*j(u) - 49*y(u). Give q(f(t)). -14*t Let x(s) be the second derivative of s**4/12 + 2*s. Let n(t) = 3*t - 6. Let w(l) = -2*l + 5. Let m(q) = 5*n(q) + 6*w(q). Give x(m(h)). 9*h**2 Let l(i) be the third derivative of i**6/720 - i**4/8 - i**2. Let f(z) be the second derivative of l(z). Let g(q) = 2*q. Give f(g(p)). 2*p Let y(a) be the third derivative of -1/30*a**5 + 5*a**2 + 0 + 0*a + 0*a**4 + 0*a**3. Let d(o) be the third derivative of -o**4/12 - o**2. What is d(y(f))? 4*f**2 Let x(f) = -4*f**2 + 5*f. Let j(u) = 6*u**2 - 7*u. Let a(b) = 5*j(b) + 7*x(b). Let y(r) = 5*r. Calculate y(a(s)). 10*s**2 Let f(h) be the third derivative of -h**4/12 + h**2. Let g(c) = 0*c**2 + 3*c**2 - 4*c**2. Determine g(f(k)). -4*k**2 Let y(s) = 2*s**2. Let i(u) = -4*u + 2*u**2 + 8*u - 4*u. Calculate i(y(j)). 8*j**4 Let z(x) be the first derivative of -44*x**3 + 46. Let m(v) = -v**2. Calculate z(m(w)). -132*w**4 Let s(d) = 4*d + 3. Let v(z) = 49*z + 35. Let u(b) = 35*s(b) - 3*v(b). Let i(p) = -5*p. Let n(r) = 4*r. Let q(g) = -5*i(g) - 6*n(g). Give q(u(f)). -7*f Let g(p) = -51*p. Let t(l) = 29*l**2. Determine g(t(d)). -1479*d**2 Let x(t) be the second derivative of t**3/3 + 6*t. Let s(n) = n**2. Calculate x(s(k)). 2*k**2 Let f(l) be the first derivative of l**2 + 5. Let u(p) be the first derivative of -p**2 + 4. Determine f(u(j)). -4*j Let i(f) = 3*f - 6. Let u(h) = h - 2. Let b(m) = 4*i(m) - 11*u(m). Let t be b(8). Let s(q) = -q + t*q - 2*q. Let x(v) = 2*v. Give s(x(l)). 6*l Let x(q) = 1067*q**2 - q. Let a(p) = 3*p. Calculate x(a(y)). 9603*y**2 - 3*y Let y(j) = j**2. Let s(a) = 273 - 7*a**2 - 273. What is y(s(x))? 49*x**4 Suppose -2*h - 10 = 0, 4*x - 1 = 3*h + 22. Suppose 4*c + x = -2*n, 5*c - 5*n - 33 = c. Let a(m) = m**2 + 3*m**c - 2*m + 2*m. Let i(r) = r**2. What is i(a(p))? 16*p**4 Let g(v) be the second derivative of 0 + 0*v**2 + 2*v + 5/6*v**3. Let w(r) = 2*r**2. Determine g(w(h)). 10*h**2 Let o(t) = -6*t. Let z(f) = -2*f - 45. Determine z(o(a)). 12*a - 4
{ "pile_set_name": "DM Mathematics" }
4). -15 Let u(q) = -100*q**2 - 8044*q + 4556. Determine u(-81). 20 Let l(z) = -18*z**3 + 72*z**2 + 63*z - 8. Calculate l(-1). 19 Let s(x) = -851*x - 171877. Determine s(-202). 25 Let b(j) = -j**3 - 406*j**2 + 437*j + 11544. Give b(-407). -666 Let w(f) = -2762*f**2 + 1088*f - 1086. Give w(1). -2760 Let j(m) = 42554*m - 42758. What is j(1)? -204 Let k(a) = -141*a**3 - 49*a**2 + 55*a - 3. Calculate k(1). -138 Let o(v) = 3*v**3 + 3*v**2 - 47*v + 143. What is o(0)? 143 Let q(m) = 23*m**3 - 535*m**2 + 146*m - 92. Determine q(23). 92 Let f(q) = 5*q**2 + 11831*q - 190574. Give f(16). 2 Let u(c) = -3*c**3 - 538*c**2 - 74*c + 18789. Give u(-179). -6 Let g(l) = -7*l**2 + 482*l - 6161. Determine g(52). -25 Let y(a) = a**3 + 15*a**2 - 202*a + 111. Calculate y(8). -33 Let b(o) = 8*o**2 + 217*o + 494. What is b(-26)? 260 Let s(v) = 423*v**3 - 188*v**2 + 2*v - 1. What is s(1)? 236 Let u(m) = m**3 + 7*m**2 + 17*m - 40. Give u(15). 5165 Let y(s) = -698*s**3 + 39*s**2 - 38*s - 76. Give y(-1). 699 Let b(p) = p**3 + 49*p**2 - 214*p + 65. What is b(-53)? 171 Let z(x) = -21*x**2 + 4501*x - 14773. What is z(211)? -3 Let x(d) = 5*d**2 - 295*d + 3326. Give x(44). 26 Let h(q) = q**3 - 45*q**2 + 298*q + 337. What is h(34)? -2247 Let c(o) = -o**2 - 301*o + 35740. Give c(91). 68 Let k(o) = o**3 - 10*o**2 + 10*o - 49. Calculate k(10). 51 Let m(w) = w**2 + 214*w - 32036. What is m(102)? 196 Let h(o) = -o**3 - 7*o**2 - 739*o - 4375. What is h(-6)? 23 Let f(q) = q**2 - 50*q - 980. Give f(-9). -449 Let c(m) = 75*m**2 + 762*m + 96. What is c(-10)? -24 Let p(i) = -10691*i - 138720. Calculate p(-13). 263 Let i(o) = -o**3 - 43*o**2 + 12325*o + 486792. Determine i(-39). 33 Let s(i) = 48*i**2 - 570*i - 4279. Calculate s(-8). 3353 Let h(v) = -2*v**2 - 57596*v + 230417. Determine h(4). 1 Let m(g) = -3*g**3 + 109*g**2 - 87*g + 2211. Give m(36). 375 Let j(l) = -45*l**2 + 304*l - 53. What is j(11)? -2154 Let r(v) = 220*v**2 + 1878*v - 171. What is r(-9)? 747 Let l(w) = 2364*w - 151396. Determine l(64). -100 Let q(m) = 183*m**2 + 1951*m + 1251. Determine q(-10). 41 Let t(m) = -m**3 + 1392*m**2 + 12695*m - 120508. What is t(1401)? -22 Let h(a) = -10*a**2 + 118*a - 2075. Calculate h(15). -2555 Let r(y) = -3*y**2 - 2035*y + 10268. Give r(5). 18 Let u(a) = 79*a**2 + 267*a - 1078. What is u(4)? 1254 Let c(n) = n**3 - 958*n**2 + 15027*n + 712. Calculate c(16). -8 Let q(v) = -v**2 + 1298*v + 600975. Calculate q(-362). 55 Let m(k) = 4*k**2 - 100*k - 1761. Give m(37). 15 Let r(k) = k**2 - 29166*k - 758992. Determine r(-26). 0 Let b(w) = -5575*w + 1654. What is b(0)? 1654 Let w(f) = f**3 + 16*f**2 - 389*f - 4002. Give w(-9). 66 Let t(g) = -34569*g + 101632852. Give t(2940). -8 Let u(v) = v**2 + 272*v - 24818. Calculate u(72). -50 Let t(y) = -289*y + 56379. Determine t(195). 24 Let s(y) = -4*y**2 - 81*y + 770. Calculate s(-27). 41 Let z(f) = 29247*f + 204941. What is z(-7)? 212 Let s(j) = -1053*j - 6402. Calculate s(-6). -84 Let f(a) = -259*a**2 + 4627*a + 636. Calculate f(18). 6 Let w(k) = 2*k**3 + 38*k**2 - 55*k - 1446. Calculate w(-19). -401 Let j(n) = n**3 + 24*n**2 + 371*n + 5273. Calculate j(-19). 29 Let n(v) = v**3 - 77*v**2 - 29685*v - 2097. Give n(-138). -27 Let k(h) = -42782*h + 213905. Determine k(5). -5 Let r(k) = -680*k + 110051. What is r(162)? -109 Let d(c) = 16211*c**2 + 48654*c. Give d(-3). -63 Let v(b) = 1585*b + 10637. Calculate v(-7). -458 Let i(f) = -937*f + 8000. What is i(8)? 504 Let y(x) = 191*x - 254. Give y(5). 701 Let x(h) = h**2 + 599*h + 16560. What is x(-30)? -510 Let p(m) = 716*m + 27822. What is p(-39)? -102 Let d(m) = 227*m - 33845. What is d(149)? -22 Let b(j) = -31*j**2 + 764*j - 1506. Give b(2). -102 Let x(a) = -5478*a + 602581. Calculate x(110). 1 Let b(d) = -d**2 - 126*d + 101. Give b(-123). 470 Let b(l) = -3298*l + 115431. Give b(35). 1 Let l(g) = -792*g**2 + 36456*g - 1103. Calculate l(46). 1 Let x(r) = -2*r**2 - 1150*r - 122904. Determine x(-142). 68 Let y(c) = -31*c**2 - 260*c - 49. Determine y(-10). -549 Let a(t) = -t**3 - 28*t**2 - 4*t - 2689. Determine a(-31). 318 Let a(s) = s**3 - 105*s**2 + 13719*s - 53274. Calculate a(4). -14 Let l(q) = 25172*q + 3549232. Determine l(-141). -20 Let k(i) = 34*i**3 - 14245*i**2 - 411*i - 3390. Calculate k(419). -38 Let c(n) = 5*n**2 + 4993*n + 19907. Calculate c(-4). 15 Let u(o) = 2*o**3 - 10*o**2 + 868*o - 2565. Give u(3). 3 Let r(g) = g**3 + 38*g**2 - 2099*g - 80490. Give r(-39). -150 Let o(p) = -8070*p + 492266. Calculate o(61). -4 Let f(j) = 48*j**2 - 5703*j - 12783. Determine f(121). -78 Let x(a) = 1816*a + 299642. Determine x(-165). 2 Let d(a) = -829105*a + 8291053. Calculate d(10). 3 Let g(u) = -u**3 + 25*u**2 - 49*u - 236. Determine g(0). -236 Let f(i) = -i**2 - 164*i - 5970. Determine f(-52). -146 Let q(s) = 17644410*s - 123510877. What is q(7)? -7 Let b(l) = -l**3 - 1178*l**2 - 5837*l + 141. Determine b(-5). 1 Let x(v) = -25*v**2 - 3219*v + 31889. What is x(-138)? 11 Let s(a) = -8*a**2 + 1525*a - 10617. Determine s(7). -334 Let d(v) = -v**3 - 42*v**2 - 145*v + 654. Give d(-40). 3254 Let t(d) = 7*d**3 + 19*d**2 - 171*d - 980. What is t(-6)? -782 Let t(m) = 92*m**2 + 15*m - 1412. What is t(-4)? 0 Let h(c) = -2*c**3 + 72*c**2 - 479*c - 258. Give h(27). -69 Let k(l) = 1475*l - 446955. What is k(303)? -30 Let k(y) = -2*y**3 + 11*y**2 + 237*y + 422. What is k(-2)? 8 Let q(v) = 1542447*v + 7712268. Determine q(-5). 33 Let c(f) = 145*f + 15404. Calculate c(-111). -691 Let j(p) = -p**3 - 144*p**2 - 1689*p - 1231. What is j(-12)? 29 Let w(d) = 2*d**2 + 332*d - 2082. Calculate w(6). -18 Let i(q) = q**3 - 28*q**2 - 236*q + 278. What is i(30)? -5002 Let n(s) = 7628*s + 3104596. Give n(-407). 0 Let v(o) = -690226*o - 10353385. What is v(-15)? 5 Let u(s) = 4*s**2 + 261*s + 394. What is u(-64)? 74 Let a(o) = -3*o**2 + 610*o - 24437. Determine a(149). -150 Let m(w) = 1231*w + 1241. What is m(-1)? 10 Let j(k) = -4*k**2 - 649*k + 8177. Give j(12). -187 Let a(f) = 34541*f + 5699211. Determine a(-165). -54 Let a(j) = -2*j**3 - 17*j**2 + 278*j - 134. Calculate a(8). -22 Let l(j) = -21*j**3 + 14*j**2 + 296*j + 979. Determine l(-4). 1363 Let r(d) = 296*d**2 + 41143*d - 150. Give r(-139). -11 Let k(n) = -530*n - 298389. Determine k(-563). 1 Let t(a) = a**2 - 2059*a - 4129. Give t(-2). -7 Let z(s) = 1863*s**2 + 9296*s - 8. Give z(-5). 87 Let k(o) = 5*o**3 + 685*o**2 - 688*o + 308. Determine k(-138). 32 Let l(k) = -3712*k + 89157. Calculate l(24). 69 Let k(y) = -2200*y - 96853. Determine k(-44). -53 Let t(w) = -2*w**3 - 262*w**2 - 662*w + 45005. Give t(-127). 47 Let g(d) = -758*d**3 + 2*d**2 + d - 1. Calculate g(1). -756 Let s(r) = 3*r**3 + 51*r**2 - 1076*r + 414. Give s(12). 30 Let j(z) = 5*z**2 - 5469*z + 91449. Give j(17). -79 Let r(z) = -z**3 + 38*z**2 - 132*z + 55. What is r(35)? -890 Let q(l) = 58*l**3 + 13*l**2 - 74*l - 88. Give q(-1). -59 Let h(f) = 12*f**3 - f**2 + 171*f - 1122. Calculate h(6). 2460 Let s(t) = -322*t**3 + 3543*t**2 - 36*t + 278. Determine s(11). 3 Let p(n) = 3909*n - 30352. Give p(8). 920 Let k(s) = 10723*s - 75000. Give k(7). 61 Let o(k) = -k**3 - 88*k**2 + 3547*k - 208. Determine o(30). 2 Let j(s) = 10005*s + 60088. Give j(-6). 58 Let i(j) = 8*j**3 - 1496*j**2 - 20*j + 3741. Determine i(187). 1 Let w(q) = 275*q - 50064. Determine w(182). -14 Let j(o) = -635*o**2 - 6997*o - 83. What is j(-11)? 49 Let d(m) = -215814*m - 863418. What is d(-4)? -162 Let j(x) = x**3 + 9*x**2 - 83*x - 688. Determine j(-10). 42 Let t(p) = -3*p**3 + 2743*p**2 - 3634*p - 16443. What is t(913)? -9 Let w(l) = -l**2 + 3396*l + 281640. What is w(-81)? 3 Let j(p) = p**2 - 210*p - 7676. Calculate j(-27). -1277 Let c(a) = 3*a**3 + 121*a**2 + 469*a + 3887. Determine c(-37). 224 Let z(q) = -11*q**3 - 3487*q**2 + 20*q + 6350. Give z(-317). 10 Let q(z) = 9*z**3 + 25*z**2 - 210*z - 130. Give q(7). 2712 Let p(a) = a**3 - 19*a**2 - 253*a + 5144. Determine p(20). 484 Let i(l) = l**2 - 2*l - 612. Determine i(-24). 12 Let b(j) = -5*j**2 - 286*j + 567. Determine b(2). -25 Let p(k) = 810119*k - 5670847. Give p(7). -14 Let d(f) = -241*f + 12016. Determine d(34). 3822 Let n(q) = 172*q + 70197. What is n(-408)? 21 Let y(u) = 49*u**2 - 5325*u - 66604. Calculate y(120). -4 Let p(n) = -n**3 - 60*n**2 + 86*n + 1163. Calculate p(-61). -362 Let f(m) = -6745*m
{ "pile_set_name": "DM Mathematics" }
10 = -4*k, -2*g - k = -3*g + 8. Suppose 0 = g*s - 15 - 6. Suppose 3*u - 54 = s*y, -6 = -u + 4*y - 3. Solve l + 4*j = 24, -l + u = l + 3*j for l. 4 Let i(r) = -r**3 + 14*r**2 + 2*r - 30. Let s be i(14). Let d be (-16)/(-2)*6*s/(-4). Solve 4*z - l + 3*l = 24, 3*z + 3*l = d for z. 4 Let c be -11 + 4 + 20 - 10. Solve -c = z - m, 2*m - 42 = -5*z - 36 for z. 0 Let s be (-8 + 6 - 2)/((-4)/82). Suppose -85 = -3*q - s. Solve q = 5*i - 19, -5*r - 21 = i for r. -5 Let m be -1*(0/14)/27. Suppose -2*q - 1 + 13 = 4*c, -4*q - 20 = -3*c. Solve m = 5*h + 5*n - 0 + 20, 5*h + c*n = -16 for h. 0 Suppose 2*h - u - u = 28, -h + 14 = -5*u. Solve 2*o = 3*z - 1, -h = 3*z - 5 for o. -5 Suppose 12 = -2*d, -2*i - 14*d = -13*d - 2. Solve 2*g - 12 = -3*f, -i*f + 6 = -3*g - 10 for g. 0 Let g(t) = 4*t**2 + 80*t + 81. Let b be g(-19). Solve 3*q - 64 = -b*c - 82, 0 = 2*c + q + 7 for c. -3 Let g be (0 - 8/12)/((-8)/36). Suppose -g*p - 2*t - 4 = 3*t, -6 = 3*t. Solve -4 = -p*k, -2*r + r = 5*k - 10 for r. 0 Let i(f) = -3*f**2 + 51*f - 153. Let k be i(4). Solve 0*o - 16 = -o + k*d, 0 = -2*o + 3*d + 17 for o. 1 Let x(b) = 23 - 10 + 2*b - 28. Let s be x(-16). Let v = -43 - s. Solve -o = -3*a + 14, v*a + 0*a = -3*o - 3 for a. 3 Let h(q) = -q**3 - 19*q**2 - 50*q - 23. Suppose 49*k - 240 = 64*k. Let p be h(k). Solve -4*m + m - 3*d = p, 3*m = -2*d - 8 for m. -2 Suppose 2*j + 9*r - 10*r + 3 = 0, 0 = -4*r + 12. Suppose j = -5*k - 3*o + 42, 26 = 8*k - 3*k - o. Solve 4*y = 5*f + 5 + 32, 0 = 3*y + 3*f + k for y. 3 Suppose 7*u = 5*u + 4*l, -u + 3*l = -4. Let s be 663/68 + 6/u. Solve 3*c - s = 3*f, -2*f - 2 = -3*c + 4 for c. 0 Let i = -217 + 91. Let h = -120 - i. Solve -3*m + 11 = 2*y - 2, -4*m + h = -3*y for m. 3 Let b = 4 - 28. Let r be ((-203)/21)/((-3)/9). Let u = b + r. Solve -5*v - 4*j + u = 10, 3*j - 15 = 0 for v. -5 Let k be 6 + (-33)/3 + 0. Let g be k/10 + 5/2. Solve o = 4*z - 4, 6*o - o - 2*z = -g for o. 0 Suppose 540*v = 489*v + 10761. Solve -210*b = -v*b + n + 7, b + 8 = -2*n for b. 2 Suppose -16 - 29 = -3*q. Let x(s) = -1 + 3*s**2 - 13*s**3 + q*s**3 + 7*s - 9*s**2 + 0. Let f be x(3). Solve -4*c - f = 3*k - 4*k, -4*k + 4*c + 32 = 0 for k. 4 Let k = 5 - -10. Suppose 4*s - 3*q - 17 = 0, 36*s = 38*s + 2*q - 12. Solve -2*t + n = -5*t + 7, -5*t = s*n - k for t. 2 Let i(t) = -2*t**2 + 141*t - 466. Let g be i(67). Solve 0 = 3*o - g*n - 21, 3*o + 7 = 2*n + 28 for o. 7 Let m = 11478 - 11452. Let b = 7 - -23. Solve 7*v - 2*v = 4*g - m, b = 5*g - 5*v for g. 4 Suppose -3*l - 2*j = 1, -141*l = -139*l - 5*j - 31. Solve l*x = 4*y + 3, -2*y = 3*x + 19 - 4 for x. -3 Let v = 11 + -22. Let p = -8 - v. Suppose -126 = -143*u + 363 - 60. Solve 2*b = p*s - 10, u*b + 14 = 5*s - 1 for s. 0 Suppose -3*h = 15, -10 + 4 = -4*w - 2*h. Solve -8 = k - w*d, -5*d = 3*k + 1 - 11 for k. 0 Let f(k) = 24*k + 988. Let i be f(-41). Solve 2*g - 10 = -l, -6*l + i*l = -3*g + 1 for l. 4 Let l be -4*(126/(-24) + 2). Suppose s - 1 = 4. Suppose 2*n + 3*t = 0, 3*n + 3*t - l = s*t. Solve n*r = g - 2, r + 2 = 2*g + 3 for g. -1 Let j(f) = 34*f + 1566. Let k be j(-46). Solve 5*t + 5*r - 48 = -43, -k*t - 5*r - 1 = 0 for t. 2 Suppose 28*s + 102 = 31*s. Let u = s + -32. Solve -g + 12 = -2*m, -6*g + 3 = m - u*g for m. -5 Let f(p) = -p**3 + 48*p**2 + 114*p - 696. Let u be f(50). Solve 2*n - 4 = -u*z - 0*z, -3*z = 2*n - 1 for n. -4 Let k be 1 + 4/2 - (-10 - -8). Suppose 4*o + 0 = 12, -k*t = o - 23. Let f = -6 - -9. Solve -28 = -4*i - t*b, 0 = f*i - 0*b - b - 1 for i. 2 Let n(h) = -100*h + 1524. Let s be n(15). Solve -5*p = -16*j + 19*j - 25, -s = -4*j - 2*p for j. 5 Suppose 9 = -3*j - a - 51, 4*j + 4*a = -88. Let w = -20 + 4. Let k = w - j. Solve -4*v = -5*r + 15, 0 = r - v - 4*v - k for r. 3 Suppose -5 = -4*w + 5*i, -2*w = 2*i - 7 - 9. Suppose -w*v = -5*y + 45, 13 - 5 = -2*v. Solve 0 = -j + 2*j + 5*a - 1, -y*j + 2*a + 5 = 0 for j. 1 Let h = -109 + 137. Let v be 76/h - (-14)/49. Solve v*d - 8*d + 12 = -4*m, m + 3 = d for d. 0 Suppose 24 = 3*j - 3*d, 4*j + 3*d - 1 = 3. Solve -4*c + 5*a - 20 = -5*c, -12 = -j*a for c. 5 Let d(s) be the second derivative of -23/2*s**2 + 0 + 2/3*s**3 + 13*s. Let a be d(6). Solve -4*f = -v + 2, 0 = 5*v - 4*f + a - 11 for v. 2 Let d = -6727 + 6804. Solve 10 = -b + 3*w, d*b - 2*w + 8 = 75*b for b. -1 Let q = -155 + 160. Solve 25 = 4*d + q*h, 4*d - 12*h - 16 = -8*h for d. 5 Let k = 7145 - 7138. Solve f = 1, -k*j + 3*f - 3 = -10*j for j. 0 Suppose 2*q = -5*g + 3*q + 3, 0 = -3*g - 2*q + 7. Let s be -2 - g - ((3 - 3) + -3). Solve -l = -3*l + 4*n + 16, s = l + n + 4 for l. 0 Let z(s) = s**2 + 97*s + 872. Let u be z(-87). Let i be (4 - -2)*(-4)/(-6). Solve -5*c = 10, u*j - i*j + 4*c + 18 = 0 for j. 5 Let c(z) = z**2 - 20*z + 20. Let r be c(19). Let p be 6*(-5 - -4)*r/(-2). Solve 4*l - 16 = -2*x, 4*l - 9 = 3*x - p for l. 3 Let p be (-58)/(-203) - (3/(-4) + 5841/(-308)). Solve -5*u - p = 3*z, -u + 9*z - 8*z + 4 = 0 for u. -1 Let t(d) = -d**2 - 34*d - 12. Let s be t(-35). Let f = s + 67. Suppose 4*n + 22 = 62. Solve 2*i - n = 2*c - 0, 0 = 2*i - 4*c - f for i. 0 Let n = 41 + -235. Let h = 198 + n. Let w = -1 - -10. Solve 5*q - 7 = -2*d, w*d - 8 = h*d - 3*q for d. 1 Suppose -i = 4*z + 92 - 71, 2*z = -4*i. Solve s + 13*v - 8*v + i = 0, 0 = -s + 3*v - 3 for s. -3 Let c = 45983 + -45981. Suppose -m = -0 - 4. Solve -c*r = -7*r - 3*v - 23, -m*v = -4*r - 12 for r. -4 Let r = -43101 - -43104. Solve -r*f = -5*w - 4, 3*f = 7*w - 41 + 43 for w. 1 Suppose -19 + 19 = -19*h. Solve s + o = h, 10*s - 8*s + 9 = -5*o for s. 3 Let v(b) = -b - 16. Let t be v(-6). Let u(g) = 0 + 2 - 3*g + 2*g + 0. Let z be u(t). Solve -2*a - 3*a = 0, -3*r - a - z = 0 for r. -4 Let b(t) = -t**3 - 14*t**2 + 82*t - 186. Let z be b(-19). Solve -d = 0, -64*d + z*d + 4 = 4*i for i. 1 Let x be 0 + (114 + -4)/(5 + -6). Let g be (x/66 + 2/1)*6. Solve w + g*w + 2*z - 3 = 0, 3*w + 5*z + 6 = 0 for w. 3 Let n be 2*6/(-8)*132/(-66). Solve -2 = a + n*d + 2, 1 = a - 2*d for a. -1 Let v = -4 + 8. Let w(f) = 3*f**2 - 20*f - 9. Let y be w(7). Let a be y - (6 - -64)/(-7). Solve 2*r - 5*k - 28 = -k, 3*r + a = -v*k for r. 4 Let p be 5/(3 + (2 - 6)) + (2 - -3). Solve p = 5*u - 4*d - 23, -49*d = -3*u - 47*d + 13 for u. 3 Let h be (5 - (-2 - -1) - 2) + 6. Solve -4*s - 24*a = -22*a + 22, -h = s + 2*a for s. -4 Suppose 2*t - v - 19 = 2*v, 2*v + 6 = 0. Suppose 0 = -13*i + 7*i + 60. Suppose 31 = i*y - 9. Solve 2*l = -j - j + y, t*j - 22 = -l for l. -3 Suppose -5*k + 414 - 394 = -2*t, 5*t - 5*k = -5. Solve -3*d = 14*w - 10*w - 31, -t*w + 35 = 0 for d. 1 Suppose 0 = 16*r - 12*r - 2*g - 4, -5*r + 3*g + 5 = 0. Let q be 2/(5*r/10). Solve -c - c - q*a = 0, -4*c = 4*a for c. 0 Suppose 4*r - 25 + 22 = 9. Solve -3*u = 2*i - 9, r*u + 4*i - 8*i - 9 = 0 for u. 3 Let c = 1550 - 1550. Let v(z) = -3*z - 8. Let o be v(-4). Solve -i - 4*k - 3 = c, o*i + 9 = k - 3 for i. -3 Suppose -2*t + 4*v = -34, 2*t - 2 = -8*v + 4*v. Solve t*u - 8 = -4*x + 7*u, -4*x + u = -2 for x. 1 Suppose -3*z = -z - 8. Suppose -4*q - 5*h = 44, -4*q = 49*h + 256 + 316. Solve -z*u = 5*g - 32, g - q*u = -3*u + 1 for g. 4 Let t(s) = 5*s**2 + 6*s - 3. Let g(r) = -r**3 - 10*r**2 - 23*r + 4. Let l be g(-6). Let j be t(l). Solve -26 = f - j*k, 0*f = f - 2*k + 11 for f. -1 Let g = -42 + 49. Suppose g*m - 47 = -33. Solve 5*h - c + 16 = 0, 3*h + 5*c - m = -6 for h. -3 Suppose 5*w = 3*d, -7*d + 10*d = -w. Suppose 2*m = -5*x - d*m, 4*x - m = 0. Solve x = 2*i + 6, -4*c - 3*i - 29 = -0*c for c. -5 Suppose -5*v = 2*v - 2261. Let k = v + -323. Solve k = -j - j + o - 12, 9 = -j + 2*o for j. -5 Suppose 992*m - 1544 = 996*m. Let j = m - -390. Solve 3*v - 5*o = -2*v - 20, 5*v - j*o = -19 for v. -3 Let a(i) = 6*i + 231. Let x be a(-43). Let q be x + 20 - (-10 + 2). Solve -5 = -4*v + 4*o + 3, q = 2*v + o for v. 1 Suppose -2*f + 9*f - 30 = -8*f. Solve -f*k = -6 + 10, -5*j + 5*k + 5 = 0 for j. -1 Suppose 5*h - 174 + 22 = -3*s, -29 = -h - 2*s. Suppose 0 = -t - h + 36. Let g(q) = q**2 - 4*q - 3. Let n be g(6). Solve u + o + n = -u, -t*u = -2*o for u. -2 Let c be (-33)/(-55) + (-234)/(-10). Suppose c*d - 128 = 8*d. Solve g + 2*g = 5*u + d, 2*g + 3 = -5*u for u. -1 Let u = -76 - -78. Suppose -u*n - 2 = -3*n. Suppose -38 = -n*l + 3*q, 4*q = -l + q + 1. Solve -c = 2*x + 9, -3*c + 2*c - l = 4*x for x. -2 Let m(n) = -134*n + 2283. Let y be m(17). Solve o + 24
{ "pile_set_name": "DM Mathematics" }
1104303 to the nearest 1000000. 1000000 What is -9558.476 rounded to the nearest 10? -9560 What is 273194.7 rounded to the nearest one hundred thousand? 300000 Round 40.858164 to zero dps. 41 What is -355286.5 rounded to the nearest ten thousand? -360000 Round -0.2398247 to 3 dps. -0.24 Round -3078.0021 to the nearest ten. -3080 What is -0.005504426 rounded to 3 dps? -0.006 What is -1169.3091 rounded to the nearest one hundred? -1200 What is -0.00000740521 rounded to 7 decimal places? -0.0000074 Round 0.0325138 to 3 decimal places. 0.033 Round 1326210 to the nearest 10000. 1330000 Round -3102.547 to the nearest ten. -3100 Round 1.21915 to 1 decimal place. 1.2 Round -89441.2 to the nearest 100. -89400 What is 1175.3487 rounded to 1 decimal place? 1175.3 Round 2391.21 to the nearest 100. 2400 What is -0.003190948 rounded to six decimal places? -0.003191 What is -23178920 rounded to the nearest one million? -23000000 What is -277894000 rounded to the nearest 1000000? -278000000 What is -4283.1257 rounded to the nearest ten? -4280 Round 190610 to the nearest ten thousand. 190000 What is -315.128 rounded to 0 dps? -315 What is -1.632145 rounded to three decimal places? -1.632 Round -0.0002493454 to 7 dps. -0.0002493 Round 4835.6498 to the nearest 10. 4840 What is 0.1889895 rounded to 1 dp? 0.2 What is 15.6658 rounded to 0 decimal places? 16 What is -0.00073966 rounded to six dps? -0.00074 What is 0.0000114540996 rounded to six dps? 0.000011 What is -0.0003519156 rounded to five decimal places? -0.00035 Round 8762.87 to the nearest one hundred. 8800 What is -1.0397773 rounded to 4 dps? -1.0398 What is -1.326336 rounded to one dp? -1.3 Round -8014.092 to the nearest one thousand. -8000 What is 0.0000218574 rounded to seven dps? 0.0000219 What is 226.90598 rounded to the nearest 10? 230 Round -438400.8 to the nearest 100000. -400000 What is 85017.8 rounded to the nearest 10000? 90000 What is -0.000009504359 rounded to six decimal places? -0.00001 Round -8.962001 to one dp. -9 Round 0.00000022084444 to 7 decimal places. 0.0000002 What is -0.007044 rounded to two decimal places? -0.01 Round 0.0265468 to two dps. 0.03 Round -89484000 to the nearest 1000000. -89000000 Round 0.0000232486 to seven dps. 0.0000232 Round -0.00664643 to 3 decimal places. -0.007 What is 456732.1 rounded to the nearest one hundred? 456700 Round 89.6161 to zero dps. 90 Round 433.113 to zero dps. 433 Round -36.6217 to two dps. -36.62 What is -9141.598 rounded to the nearest 100? -9100 Round -447266 to the nearest 100. -447300 What is 0.000009885 rounded to six decimal places? 0.00001 What is -2514012 rounded to the nearest 1000? -2514000 Round -88.6704 to the nearest integer. -89 What is -0.000004997162 rounded to seven dps? -0.000005 Round 0.0029569 to 5 dps. 0.00296 What is 0.00000617379 rounded to six decimal places? 0.000006 Round 2091054 to the nearest one thousand. 2091000 What is -44420.63 rounded to the nearest 100? -44400 Round 0.830538 to 3 decimal places. 0.831 Round -652954 to the nearest one hundred thousand. -700000 What is 61321.3 rounded to the nearest one hundred? 61300 Round -0.001556208 to 5 dps. -0.00156 What is 0.00000590409 rounded to six decimal places? 0.000006 Round 0.0000173391 to seven dps. 0.0000173 Round 6648.439 to the nearest 100. 6600 Round 0.000081112709 to 6 dps. 0.000081 What is 0.000000803285 rounded to seven dps? 0.0000008 What is 156909.46 rounded to the nearest 1000? 157000 What is -19204900 rounded to the nearest ten thousand? -19200000 What is -823.866 rounded to the nearest one hundred? -800 What is -8319.43 rounded to the nearest 100? -8300 Round -881605.9 to the nearest 100. -881600 Round -0.007254843 to 4 dps. -0.0073 What is 390988.49 rounded to the nearest 100? 391000 What is 72767000 rounded to the nearest 100000? 72800000 What is -0.0831477 rounded to 3 dps? -0.083 What is 223449 rounded to the nearest one thousand? 223000 Round 369.17 to the nearest 10. 370 What is 796475.63 rounded to the nearest one thousand? 796000 Round -168.38053 to 1 dp. -168.4 What is 1001190.5 rounded to the nearest 100000? 1000000 What is 2982814 rounded to the nearest ten thousand? 2980000 What is -1506900 rounded to the nearest one hundred thousand? -1500000 Round -15.195112 to zero dps. -15 What is -5272797.3 rounded to the nearest 1000? -5273000 What is 3578.817 rounded to the nearest one hundred? 3600 What is 0.11021135 rounded to 3 dps? 0.11 Round -40.718672 to 0 decimal places. -41 Round -6550557 to the nearest one thousand. -6551000 What is -93.8031 rounded to the nearest 10? -90 What is -0.00003141676 rounded to seven dps? -0.0000314 What is -4.99692 rounded to one decimal place? -5 What is 1404.01 rounded to zero decimal places? 1404 Round -0.000120051 to six decimal places. -0.00012 Round 0.0000031915965 to seven decimal places. 0.0000032 Round 14947380 to the nearest one hundred thousand. 14900000 What is -39940040 rounded to the nearest 100000? -39900000 Round 48.07819 to 1 dp. 48.1 Round 121622100 to the nearest 100000. 121600000 Round 0.000358098 to four decimal places. 0.0004 Round -7763.91 to the nearest one thousand. -8000 What is -0.00570121 rounded to five dps? -0.0057 Round 1068.925 to the nearest ten. 1070 Round -155194.9 to the nearest one hundred. -155200 What is 17525 rounded to the nearest one hundred thousand? 0 What is 0.004143 rounded to four dps? 0.0041 What is 1.372396 rounded to one dp? 1.4 Round -0.0000009095187 to 7 dps. -0.0000009 What is -61693.83 rounded to the nearest one hundred? -61700 What is -464.987 rounded to 0 dps? -465 Round 8903.5 to the nearest ten. 8900 Round 0.0001234007 to 7 decimal places. 0.0001234 Round 0.0000730015 to 5 decimal places. 0.00007 Round -0.028919284 to 3 dps. -0.029 Round -0.0022555984 to 3 decimal places. -0.002 Round 8225114 to the nearest ten thousand. 8230000 What is -0.0027768311 rounded to 6 decimal places? -0.002777 What is -203027000 rounded to the nearest one million? -203000000 What is 3.969226 rounded to 2 dps? 3.97 What is 0.2501542 rounded to four dps? 0.2502 What is 1373.2 rounded to the nearest ten thousand? 0 What is 0.003548026 rounded to three decimal places? 0.004 What is -45844900 rounded to the nearest one million? -46000000 Round 4135.69 to the nearest 10. 4140 Round 5616.62 to the nearest ten thousand. 10000 Round -1685492 to the nearest one million. -2000000 What is -11909340 rounded to the nearest 100000? -11900000 What is -1301944.6 rounded to the nearest ten thousand? -1300000 What is -0.003351791 rounded to five decimal places? -0.00335 Round -17.53464 to one decimal place. -17.5 Round 9948.5 to the nearest one thousand. 10000 What is 204936.4 rounded to the nearest 1000? 205000 Round -12600500 to the nearest one hundred thousand. -12600000 Round -570.32 to the nearest 10. -570 Round -26.77421 to two decimal places. -26.77 What is 0.0000307002 rounded to 7 decimal places? 0.0000307 What is -90182900 rounded to the nearest 1000000? -90000000 What is -73.588 rounded to the nearest one hundred? -100 What is 0.000012940151 rounded to seven decimal places? 0.0000129 Round 284802000 to the nearest one million. 285000000 What is -105244.7 rounded to the nearest 1000? -105000 What is 0.0000006229144 rounded to seven decimal places? 0.0000006 What is 0.0042465 rounded to three dps? 0.004 What is -165 rounded to 0 decimal places? -165 Round -3308.589 to the nearest one hundred. -3300 What is -459.32936 rounded to one dp? -459.3 What is 121.817 rounded to the nearest 100? 100 What is 0.00150736 rounded to five dps? 0.00151 What is -4129.51 rounded to the nearest 10? -4130 Round -127226.9 to the nearest 10000. -130000 What is 0.00002384199 rounded to 5 dps? 0.00002 Round -0.00008905157 to 6 dps. -0.000089 What is 4036359.4 rounded to the nearest 10000? 4040000 What is 16839690 rounded to the nearest one million? 17000000 What is -0.00000247025 rounded to 7 dps? -0.0000025 Round 0.000089807 to 5 dps. 0.00009 Round 613.02313 to the nearest 10. 610 What is 145.847 rounded to the nearest integer? 146 What is 0.00166755 rounded to three dps? 0.002 What is 7944129 rounded to the nearest ten thousand? 7940000 What is 666.41 rounded to 0 decimal places? 666 Round -545.616 to t
{ "pile_set_name": "DM Mathematics" }
8 for f. 1 Solve -5*a + 3*f - 1 = 0, 14*f + 35 = 2*a - 3 for a. -2 Solve -77*o + 79*o - 48 = -4*h, 72 = 6*h - 2*o for h. 12 Solve 5*t + 3*m + 510 = 507, 3*m = 2*t - 24 for t. 3 Solve 160*v - 9 = 4*d + 155*v, 0 = 4*v - 20 for d. 4 Solve -4*x + 26 = -j, -40*j + 2*x + 24 = -21*j for j. 2 Solve 4 = -4*g - 68*f + 66*f, -g = 3*f + 16 for g. 2 Solve 55*g - 62*g - 8 = y, 4*g + 4*y = -8 for g. -1 Solve j - 30*w - 5 = -35*w, -3*j - 4*w + 15 = 0 for j. 5 Solve -3*n = -5*i + 14, -3*n + 29 - 34 = 4*i for i. 1 Solve 312*w - 4*b = 315*w + 30, 0 = -4*b + 12 for w. -14 Solve -1250*f + 4 = 4*k - 1249*f, 12 = -f - 2*f for k. 2 Solve 2*y + 45 + 80 = 5*r, -2*r - 38*y + 50 = 0 for r. 25 Solve 35 = 5*v - 5*y, 4*v + 5*y = 2177 - 2149 for v. 7 Solve -5 = -5*x + 5*h, 0 = x + 4*h - 25 + 29 for x. 0 Solve s = w, 45 = 2*s - w + 44 for s. 1 Solve 2*z + j = -19 + 8, -z = 3*j + 38 for z. 1 Solve -30*x + 2*f + 106 = 4*x, 5*x + 1 = -f + 14 for x. 3 Solve -5*l + 11 = -2*r + 1, 5*l = 4*r + 10 for l. 2 Solve -24*y - 4*t = -26*y + 14, 2*t = -4*y + 8 for y. 3 Solve 8*k = -3*z + 13*k - 5, 0 = -5*z + 5*k - 15 for z. -5 Solve -2*c + 5*h + 15 = 0, -5*c + 23 = -140*h + 142*h for c. 5 Solve 2*q - 19 = -5*n, 115*n = -5*q + 117*n - 25 for q. -3 Solve -19*c = -24*c + 4*d + 10, 5*c - 10 = 2*d for c. 2 Solve 12*t - 3*x = 15*t - 8*x + 20, x - 6 = t for t. -5 Solve 84 = 5*x - d + 61, 2*d = 2*x - 6 for x. 5 Solve 0 = 8*w - 2*c - 38, -13*w + 15*w + 6*c - 2*c = -22 for w. 3 Solve 4 = 2*v, 5*y = v - 2 + 30 for y. 6 Solve 2*d = -18, 0 = 32*x + 16*d - 21*d - 109 for x. 2 Solve -14*x - 977*f = -974*f + 46, 3*f + 18 = 0 for x. -2 Solve 3*p + 12 = b, 10*b - 13*b = 9 for p. -5 Solve -4*c - 3*d - 31 = 0, 0 = 2*c - d + 412 - 429 for c. 2 Solve 0 = -2*r + 4*k + 66, -227 = 2*r + 5*k - 275 for r. 29 Solve 7*t = 4*z + 20, -67*z = -2*t - 68*z + 10 for t. 4 Solve -3*c = -5*m - 23 - 7, m - 20 = -2*c for c. 10 Solve 0 = -3*r - 6*f + 18, -r - 5*f = -16 + 4 for r. 2 Solve -166 + 167 = 4*m - 3*s, 2*m = 4*s + 8 for m. -2 Solve -16053*n - 5*w = -16051*n - 10, 2*w = -3*n + 15 for n. 5 Solve -15 = 3*t, -2*r = 3*t - 386 + 411 for r. -5 Solve 0 = -w + 2*l - 8, -3*w + 11 - 19 = -2*l for w. 0 Solve 3*c - 16 = -4*x, -5*x = -8*c + 7*c - 20 for x. 4 Solve 3*p - 2*v = 23, -2*p - 22 = 15*v - 11*v for p. 3 Solve -5*j + r = 18, -5*j = 71*r - 68*r + 26 for j. -4 Solve -3*d = -5*y - 32, 5*y + 4 + 20 = d for y. -4 Solve 10*n + 4907*p + 28 = 4911*p, 0 = -4*n + 3*p - 7 for n. -4 Solve -7*h = 2*x - 90, 79*x = 81*x + h - 6 for x. -4 Solve 0 = k - m + 13 - 4, 6*m = -4*k - 6 for k. -6 Solve 221*p = 219*p + 4*w + 4, 66 = 16*p + 2*w for p. 4 Solve 23*s = 3*u - 201, -11 = 940*s - 939*s + u for s. -9 Solve -11*s - 3*w + 28 + 36 = 0, -s + 20 = 5*w for s. 5 Solve -5*y = -z + 2*z, -5*z - y = 0 for z. 0 Solve -5*q = 3*r - 15, -1268*r + 1266*r + 2*q + 10 = 0 for r. 5 Solve 2*t = -5*f - 17, 8*f = -2*t - 29082 + 29062 for t. -6 Solve 0 = s - g, 4*g = -3*s + 2*s - 5 for s. -1 Solve 2*h - 26*x + 36 = -21*x, -6*x + 44 = -2*h for h. 2 Solve -2*u + 2*x + 2 = 0, 136 - 166 = 6*x for u. -4 Solve -4*b + 16 = 0, -2*j + 5*b - 25 = -3*j for j. 5 Solve -5*x - 5*j = 15, 3*x + 745*j - 746*j = -5 for x. -2 Solve 4*x + 30 = -530*c + 533*c, -32 = -c + 5*x for c. 2 Solve -2*r + 8 = 2*b, 46*b - 3*r - 24 = 45*b for b. 9 Solve 4*v = -72, 0*v + 42 = 4*b - 3*v for b. -3 Solve 0 = 4*u + 4*c + 48, -2*u = -4*c - 22 - 2 for u. -4 Solve -3*z - 1089*o - 26 = -1094*o, -2*o + 8 = 0 for z. -2 Solve -2*f + 5*x = -16, -f + 6*f = -5*x + 5 for f. 3 Solve -30*x + 35*x = 55, -5*h + x - 21 = 0 for h. -2 Solve -5*j - 134 = 3*o - 121, 0 = j - 2*o for j. -2 Solve -102*v - 5 = 4*y - 105*v, 0 = -3*y - 15*v + 117 for y. 4 Solve 5*g - 42 = 3*f, 1132 = g + 2*f + 1134 for g. 6 Solve -2*r - 77 = -5*g - 44, g + 3*r = -7 for g. 5 Solve 2*w - 30 = -4*t, 11100*w + 12 = 11104*w for t. 6 Solve -36 = 5*h + a, -7001*a + 16 = -2*h - 7003*a for h. -7 Solve 143*f - 147*f - 4*r - 52 = 0, -5*r - 30 = -2*f for f. -5 Solve 3*f - 5*i + 37 = 0, -2*f + 5*i - 1 - 32 = 0 for f. -4 Solve 29*x = 4*p + 32*x + 9, -31*p + 4*x = 97 for p. -3 Solve 5*z + 4*h = -41, -5*z = -88*h + 93*h + 45 for z. -5 Solve -4*w = -2*w + 4*x, 25 = -10*w - 580*x + 585*x for w. -2 Solve -a + 5*o + 25 = 0, 23*a - 25*a - 5*o = 40 for a. -5 Solve 0*o - 15*w = -3*o - 108, 5*o + w = 28 for o. 4 Solve 113*z + i = 115*z + 17, 2*z = 4*i - 32 for z. -6 Solve 4*y + 14 = -5*f - 101, 16*y = -5*f - 115 for y. 0 Solve -3*c + 4*m + 10 = 0, -208*c = -204*c + 5*m + 28 for c. -2 Solve b - 11 = 237*o - 238*o, 4*o = -b + 26 for o. 5 Solve -2*g + 26 = -5*u, -5*g - 3*u = -4*u + 4 for g. -2 Solve 4938*g - 4940*g = -s + 9, -3*g - 4*s = 8 for g. -4 Solve -2*q + l - 8 = 0, 1219*q + 2*l = 1222*q + 14 for q. -2 Solve 2661*j = 2660*j + 5*q + 14, 10 = 4*j + 3*q for j. 4 Solve 0 = 4*t - 4*q + 3597 - 3605, -4*t - 4*q + 24 = 0 for t. 4 Solve -2*u = 0, l - 4 = 4*u - 0 for l. 4 Solve -a + 6*x - 20 = -12*x - 6, 0 = -a + 4*x for a. 4 Solve -u + 12 = -3*h, -14*h + 20*h + 5*u = 4*u - 6 for h. -2 Solve 3*g - 22 = -94*b + 90*b, -4*b = g - 18 for b. 4 Solve 3*y - 6 = -15, -61*v + 57*v + 2*y = -18 for v. 3 Solve -4*s + 1809*r - 1811*r + 4 = 0, 2*s - 2 = r for s. 1 Solve -25 = 5*h - 2*r, 247 = 5*r + 222 for h. -3 Solve -4*g + 5 = n + 4, 6 = -2*n for g. 1 Solve 3*w + 1 = 2*s, 41798*s + 22 = -w + 41803*s for w. 3 Solve 3*t - 3*c + 38 - 53 = 0, -11*t = -7*c - 43 for t. 2 Solve 2*d + 2*a = -2*a, 0*d - 3*d + 67*a = 70*a + 3 for d. -2 Solve -44151*o + 6 = -44149*o + 4*g, -2*o = g - 9 for o. 5 Solve 4*f = -13*y - 27, -49*y + 44*y - 3*f - 25 = 0 for y. 1 Solve -6*a + 5*a = -4*g - 15, -25 = 2*g + 3*a for g. -5 Solve -2*v = n - 23, -10*n - 2*v - 7 = -3 for n. -3 Solve -19 = -3*i + r, -9*i - 3*r + 28 = -41 for i. 7 Solve -30292*t + 30297*t - 10*w = 45, 0 = -4*t - w + 18 for t. 5 Solve 0 = -55*t + 4*q - 279, q + 4 = 154*t - 79*t - 76*t for t. -5 Solve -5*c = -j + 16848 - 16832, 0 = -c - 2*j + 10 for c. -2 Solve -4*k = -2156*t + 2164*t - 8, -3*t + 3 = 4*k for t. 1 Solve 4*m + 22 = -2*s, -1139*m + 1138*m = 4*s + 16 for m. -4 Solve -5*q = -5*w + 15, -47523*q = -47518*q + 2*w + 8 for q. -2 Solve -2*c = -4, -4*h + 2*h + 8 = 3*c for h. 1 Solve -107*g = -2*t - 108*g + 10, -5*t - 4*g + 25 = 0 for t. 5 Solve 3*j = 30*c - 35*c - 11, -5*j + 2*c = 8 for j. -2 Solve -2*o = -4*l - 146, 3*l - 337 = 2*o - 447 for o. 1 Solve 5*f + 3*k - 19 = 0, 3*k - 3 + 24 = 3*f for f. 5 Solve -5 = 41*v - 36*v - 5*n, -3*n - 9 = 0 for v. -4 Solve 4*l + 12 = -v, -5*l + 14 = -2*v + 42 for v. 4 Solve 5*d + 1 = -7*a, 4525*d - 4528*d - 4*a - 1 = 0 for d. -3 Solve -a = a + 3*x - 23, 5*a + 75 = 481*x - 462*x for a. 4 Solve 0 = x + 3, -395237*p - 8*x = -395232*p + 49 for p. -5 Solve -z - 6 = -p, 3*z + 2*p + p + 0*p = 24 for z. 1 Solve -p - 20 = -3*j - 6, -5*p = 5*j - 50 for j. 6 Solve -63*q = -66*q - f - 6, -5*q - f = 12 for q. -3 Solve 3*w + d = -2 - 1, 5*d = -w - 1 for w. -1 Solve -2*k = 26*t - 22*t - 56, 3*k + 3*t = 39 for k. -2 Solve 0 = 4*v - 8*m + 8, v + 2*m + 590 = 600 for v. 4 Solve -25*l + 84 = -24*l + 20*q, 2*l - 16 = -2*q for l. 4 Solve -4*q - 2*w + 10 = -8, -29 = -6*q - w for q. 5 Solve -2*n - 36 = 5*w - 54, -2*w - n + 8 = 0 for w. 2 Solve 5*f - 35 = 2*w, 4*f - 2302*w = -2301*w + 22 for f. 3 Solve 0 = -2*d - z - 9, 122*d - 2*z = 118*d - 22 for d. -5 Solve -3076*x + 77 = -9*i - 3071*x, 2*i + 21 = 5*x for i. -8 Solve 21 = -25*q - 2*c, -2*q - 9 = c - 9 for q. -1 Solve -59*m + t + 39 = -61*m, 9*t = m - 28 for m. -17 Solve -5*s = 15, 860*s - 855*s = 3*d - 9 for d. -2 Solve -231*z + 3 = -3*v - 226*z, v + 1 = z for v. -1 Solve 0 = 2*o, -1083*h + 1084*h + 3*o = 3 for h. 3 Solve 4 = -15*q + 16*q + 2*t, -4*t = 6*q - 16 for q. 2 Solve 4*h - 53 = -5*r + 8*h, 5*h + 50 = 3*r for r. 5 Solve -2*z = 2*h + 18, -933*h + 935*h = -z - 14 for z. -4 Solve 0 = -3*m - 4*d - 5, -94 = -4*d - 102 for m. 1 Solve -22 = -v + 4*x, 61*v - 5*x = 35*v + 176 for v. 6 Solve -8 = -3*d + 2*b, 2*d + 75 = b + 80 for d. 2 Solve 4*z = 3*c + 20, -2*c - 21292*z = -21293*z + 10 for c. -4 Solve -1418*l + 1417*l = 3*y, -3*y - 2*l = -3 for y. -1 Solve -5*c + 8 = -4*d, 3*d = c + 2*c - 3 for c. 4 Solve 4*a - 3*y + 5 = 0, -12 = -4304*a + 4307*a - 5*y for a. 1 Solve -b - 4*c - 130 = -160, -4*b + 70 = 6*c for b. 10 Solve 0 = m - 3*u - 4, -3*u + 523 = 2*m + 506 for m. 7 Solve 3*b
{ "pile_set_name": "DM Mathematics" }
ng k is positive. k**(236945/276) Simplify ((w*w**0*w)**(1/2)/(w**3/w*w**(-1)))**(-6/11) assuming w is positive. 1 Simplify ((n**(-3)/n*n)/n)/n**1*((n*n**(-1/3))/n)/(n*n*n**(1/4))*(n/n**0*n*(n*(n*n**(1/11))/n)/n)/(n**(3/8)/n*n**(-1/7)) assuming n is positive. n**(-8731/1848) Simplify ((d/(d**(2/7)/d*d))/(d/(d*d**(-2/9))))**(-19/3)*(d*d*d/d**(-2/5)*d)**(-35)/(d*d/((d/d**(2/3))/d)*d/(d**(-2)/d*d)*d) assuming d is positive. d**(-30955/189) Simplify (((v/(v*v/(v*v**10/v)))/v)/v**(-2/11))/(v/(v/v**(2/23))*v**(-7)) assuming v is positive. v**(3819/253) Simplify (m**(3/5)/m**(-3/5))**47*(m**(-4)/((m*(m*m/m**(-1/6))/m)/m*m))/((m**5*m)/m*m*m*m/m**(2/5)) assuming m is positive. m**(1279/30) Simplify ((c**(-4))**(-22)*c**(-2/47)/c*(c/(c*c**(-2)*c))/c)**(1/67) assuming c is positive. c**(61/47) Simplify ((s**(-1)*s*s)/s)**46*(s**2*s)/s*s/((s**(6/11)*s)/s)*((s/s**6)/(s*s*s*s**(-4/5)))/(s**0)**10 assuming s is positive. s**(-261/55) Simplify ((p/((p*p/(p/p**(-2)))/p))/((p/((p*p/p**(-7)*p)/p))/p))**(-1/34)*(p**0)**(-12)*(p*p**(-6))/p**(-2/9) assuming p is positive. p**(-785/153) Simplify (c**27*c**0*(c**(-9/2)*c)**(3/16))**(2/29) assuming c is positive. c**(843/464) Simplify ((n/((n*n**2)/n))**21/(n*((n**2*n)/n)/n)**29)/(((n**(-3)*n)/(n*n**(-2/7)))/((n*(n*(n*n**(-2/3))/n)/n)/(n**(2/3)*n*n))) assuming n is positive. n**(-1651/21) Simplify ((b/(b**1/b*b))**31*b**4/((b/(b**4*b))/b*b))/((b**0/b)**(-2/13)/(b**(-3/5)/b**(-5/3))) assuming b is positive. b**(1738/195) Simplify ((r**(1/5)*r)/r*r**(-2/11)*r)**42*r**1*r**6*(r*r**(2/3))**1 assuming r is positive. r**(8486/165) Simplify (p**(-6)*p/(p*p*p/((p*p/(((p*p*p**(-5))/p)/p)*p)/p*p))*p**(-2/7)/p**(-2/7))/((p*p**(-2/11))/(p**5/p))**37 assuming p is positive. p**(1295/11) Simplify (((((p**(-2/19)*p)/p)/(p*p/(p*p**4*p)))/(p**(-1))**43)**(14/5))**42 assuming p is positive. p**(523908/95) Simplify (a/(a*a**(-2/105)))/(a*a*a*a**(-30)/a)*(a/((a**(1/6)*a)/a)*a)/a**15 assuming a is positive. a**(3119/210) Simplify ((n**(-30)*n**(1/3))/(n*n/(n/n**(-2/75))*(n*n/(n/n**31))/n))**(23/3) assuming n is positive. n**(-35443/75) Simplify ((o**(-2/9)*o)**(-36)/((o/o**(-2/5))/o**(-2/3)))**(-5/8) assuming o is positive. o**(451/24) Simplify (s**(-1)*s)**(2/35)*(s*s/s**(-1)*s*s)**(-20/11)*((s/(s*s/((s**(-2)/s)/s))*s)**(-46))**(-44) assuming s is positive. s**(-89156/11) Simplify (z**(1/10)*z*z/(z/z**6*z)*z)**(1/24)/(((z/(z/((z*z**(-2))/z)))/z)/z*z*z**(-1)*z*z*z*z)**(-18) assuming z is positive. z**(71/240) Simplify (((a**3/a)/a)/(a/((a/(a/a**(3/5))*a)/a)*a))**15*(a**(-6)*a*a**(-3/8)/a)/(((a*(a**(1/3)*a)/a)/a)/a**(-4/9)) assuming a is positive. a**(-947/72) Simplify ((v**(-5)/v)**(-17/3)*(v**4)**(1/12))**(-2/77) assuming v is positive. v**(-206/231) Simplify ((z**(-2/3)*z)**(-40)*(z**(-2/7)*z)/(z/z**(5/6)*z))/(z**(-7)*z*z**(-8)/z*(z/(z/((((z*z/z**(-2))/z)/z*z)/z)))**(2/121)) assuming z is positive. z**(2001/1694) Simplify (z/((z/(z*z**2*z))/z)*z**(-12)*((z**(-3)*z)/z*z)**(2/75))**(-4/9) assuming z is positive. z**(2116/675) Simplify (k/k**(1/4)*k*k**(1/2)*k)**(-1/30)/(k*k**(-2/3)*k*k/k**2*(k**(1/3))**(-13/3)) assuming k is positive. k**(361/360) Simplify (u**(-2/11)/(u/(u/u**(-2))*u))/(u**0)**(1/74)*(u**(-4)/u**(2/3))/(u**(1/4))**(-35) assuming u is positive. u**(647/132) Simplify ((((c/c**(-48))**14)**(-44))**(-3/13))**(-2/9) assuming c is positive. c**(-60368/39) Simplify (y*y**9)/y**(-2)*(y/(y/(y**(-4)*y)))/(y*y**7)*(y**(-1)*y*y/y**(-8))/(y**(2/3)/y**(-2)) assuming y is positive. y**(22/3) Simplify (z/(z*z/z**3*z*z)*(z/((z/(z*z*z/((z**(-2/9)/z)/z)*z*z)*z)/z))/z)**(-24)/(z**(-1/3)*(z**6/z)/z)**(-19/4) assuming z is positive. z**(-1583/12) Simplify (g/((g*g**(-29))/g))/g**(-1)*(g**(-17)/g)/g**(1/31) assuming g is positive. g**(402/31) Simplify (((t*t**(-1/9)*t)/t*t*t**(1/7))**27)**(-10/13) assuming t is positive. t**(-3840/91) Simplify ((o/(o*o**(-9/2)*o)*o*o*o*o)/o)/(o/o**16)*(o/(o*o**(2/39)/o))**(-30) assuming o is positive. o**(-181/26) Simplify ((((t**32*t)/t)/(t*t**(-29)))/(t**17/t**(5/6)))**(-6/5) assuming t is positive. t**(-263/5) Simplify (k**2/k*k**(-3))**39*(k**(-2/9)*k*k)/(k/k**(-3)*k)*k*(((k*k**6)/k)/k)/k*k/(((k/(k*k**3))/k)/k) assuming k is positive. k**(-632/9) Simplify n**(-5/6)/n**(2/7)*(n/n**(3/2))/n**(-3/4)*(n**9*n**(-5))**(-4/25) assuming n is positive. n**(-3169/2100) Simplify (i*i/(i*i/i**(-1/9)))/i*i**2*i*(i**(-2/7)*i)**(-1/10)*i**(-2/13)*i/i**4*(i/((i/i**(-1/4)*i)/i))/(i*i*i/i**(-3)) assuming i is positive. i**(-24853/3276) Simplify ((o**(-2/9)*o*o/o**(2/3)*(o**(-1))**27)**(6/19))**(3/5) assuming o is positive. o**(-466/95) Simplify (g/g**10*g/(g**(-1/8)*g)*g)**(-7/4)*(g/g**(-2/5))**33/(g/(g**(-2)/g))**(11/8) assuming g is positive. g**(8717/160) Simplify ((i/(i**(3/5)*i)*i)/(i*i**(-5/3)/i*i))**(5/9)/((i/(i/((i*i**(-2)*i)/i)))/(i**(-2/9)*i*i)*i**(3/5)/i**(-2)) assuming i is positive. i**(104/135) Simplify i*i**(1/5)*i*i/(i*i/(i/(i/i**(-1/4))))*(i/((i**(-1)/i*i)/i)*i)**7*(i**(-1/8)*i**0)/((i/((i*i**1)/i))/i)**23 assuming i is positive. i**(2073/40) Simplify ((v/v**(-1/10)*v**(1/8)*v)/(v**2*v*v**(-17)/v))**(3/4) assuming v is positive. v**(2067/160) Simplify ((l*(l**(1/3)*l)/l)**2/(l/l**(1/6)*l**(-5)))/((l**(-6/11)/l*l*l*l**5*l)/(l/l**(-1))**(-2/111)) assuming l is positive. l**(279/814) Simplify (((d**(-2/7))**35/((d**(3/10)*d)/((d/(d**(-1/6)*d)*d)/d)))**(-2/23))**(1/5) assuming d is positive. d**(334/1725) Simplify ((o*o*o/((o/(o/((o/(o**(-1/16)/o))/o)*o))/o))**(1/23)/(o**(-4))**(-3/5))**14 assuming o is positive. o**(-28707/920) Simplify ((d**(2/3)*d)/(d*(d/d**(2/17))/d*d)*(d**(-8)*d)/d**(1/2))/((d**(-2/3))**(-2/55)/(d**(-5)*d/(d*d**(2/3)))) assuming d is positive. d**(-75211/5610) Simplify (l**13/(l*l**(-1/11)*l))/(l**(-2/13)/(l/(l/(((l/l**(2/109))/l)/l)))) assuming l is positive. l**(159399/15587) Simplify (((m*((m*m**(2/11)*m)/m)/m)/m)**30)**26/(m*m*m**3*m/(m/(m**(-1/5)/m))*(m/((m*(m*m*m*m**(-2/3)/m*m)/m*m)/m))**(-23)) assuming m is positive. m**(17713/165) Simplify ((r/((r*r**(2/9)/r)/r))/r**(2/19))/((r*r/r**(-2/13)*r)/((r/(r*r/(r**(2/19)/r)))/r))*(r**(-7)/r**8)/(r**(-2/3))**(-33) assuming r is positive. r**(-4841/117) Simplify (((z**(-6)*z*z*z*z/(z**(-10)/z))**(-14/11))**(-38))**(-33) assuming z is positive. z**(-14364) Simplify c**(1/7)/c**(-4)*c*c*c**(-2)*(c**4/c)/c*((c/(c*c/c**2*c))/c*c*c/((c/c**(-1/3))/c))/(c*c*c**2/c*c*c/c**(-1/5)) assuming c is positive. c**(169/105) Simplify ((w/w**(2/7))**(2/147))**(39/5)*w**(-9)*w**(-1/3)*(w*w**(2/3)/w*w)/(w/(w/(w**(-2/7)*w))) assuming w is positive. w**(-8546/1029) Simplify ((v/v**(-2/7))/v)**(-24/5)*v**(-3/10)*v**(4/5)/v assuming v is positive. v**(-131/70) Simplify (((t*t/t**0)/t)**18*t**2/(((t**0*t)/t*t)/t))/((t/t**(-1/4))**39/(t**(2/3))**(-11)) assuming t is positive. t**(-433/12) Simplify ((m/(m**(-2/9)/m))/m)**26/((m/(m*m**(-5)))/(m*m**(3/2)/m*m*m))*(m**(2/5)/m*m**(-14))**(-24) assuming m is positive. m**(34261/90) Simplify (((a*a*a/(a*(a**1*a*a)/a))/((a**(2/17)*a*a)/a)*(a/((a/(a*a/((a*a*(a*a**(-2))/a*a)/a)*a))/a))**37)**(-2/31))**10 assuming a is positive. a**(-49940/527) Simplify (h**27)**(6/7)/((h*h**(-4)/h)/h**(-41)) assuming h is positive. h**(-97/7) Simplify ((h**1)**(2/21))**21*(h**(1/4)*h**3)**(-36) assuming h is positive. h**(-115) Simplify ((t*t**(-5)*t*t*t)/t**2)**3*((t*t**(-1/2))/(t*t**(-7)))**(-14) assuming t is positive. t**(-100) Simplify ((((o**(1/3))**35)**36)**(4/9))**(-3/19) assuming o is positive. o**(-560/19) Simplify ((h**(1/11)*h/(h**3/h*h*h))/(h*h**0*h**(2/3)))/(((h*((h/(h**0/h)*h)/h)/h)/h)/(h/h**2)*h**(5/6)*h/h**(-6)) assuming h is positive. h**(-317/22) Simplify (o**0)**14*(o/o**1)**8*o**(4/5)/o**(-2/7)*(o*o**(-1/4))**(-1/6) assuming o is positive. o**(269/280) Simplify ((k**0)**(-7)*k*k**(4/5)*k*k**(-1/6))/((k*k**0)**(-7/6)*(k**1)**34) assuming k is positive. k**(-151/5) Simplify (((u**4/u)/(u**11*u))**(-3/4))**(3/11) assuming u is positive. u**(81/44) Simplify (v**(-2)*v/(v/v**(-1/12)))/((v**(-3)*v)/((v/((v*v*v/v**(-7)*v*v)/v*v))/v))*(v**(-1/6)*v**(-2)/v)**(-14/13) assuming v is positive. v**(-451/52) Simplify (o*o**(-2/35)*o*o)**12/(o/(o*o**(-44))*o**(-18/7)) assuming o is positive. o**(-214/35) Simplify ((x**(-34))**(-2/157)/(x**(1/3)/x)**(1/10))**(-21) assuming x is positive. x**(-8239/785) Simplify ((k**(-35)*k**34)/((k*
{ "pile_set_name": "DM Mathematics" }
What is the fourth biggest value in -1016, 6, -34/9, -0.4, -1/2? -34/9 Which is the third smallest value? (a) -0.2 (b) -3 (c) -11 (d) -2 (e) 0.02 d Which is the second biggest value? (a) -3/98 (b) -0.4 (c) 55 (d) 1/2 d Which is the third smallest value? (a) 204 (b) 2/9 (c) -4/3 (d) -1/3 b What is the fifth smallest value in 30.3, 2/9, -2/7, 0.1, 13? 30.3 Which is the smallest value? (a) 21651 (b) 2 (c) 0.2 c What is the smallest value in -0.08, -102, 92? -102 Which is the third biggest value? (a) -4.9 (b) -46 (c) -1 (d) 1 (e) -2/9 c Which is the fifth smallest value? (a) 2/5 (b) -1/8 (c) -0.36 (d) 10 (e) -4 (f) -3 a Which is the second biggest value? (a) -25 (b) 22 (c) 2/9 c Which is the third biggest value? (a) 0.17 (b) -74/71 (c) 0.1 b What is the third biggest value in 0.03, -0.1, -54596? -54596 What is the third biggest value in -2/7, 1, -0.1, -51.086? -2/7 What is the fifth biggest value in -2/5, 3.6, -1, -2/3, -0.02? -1 Which is the second biggest value? (a) -1/23 (b) 2 (c) -0.4 (d) -2/19 a What is the second smallest value in -0.06, -8.1, -0.93? -0.93 What is the smallest value in -30551, -5, 4? -30551 What is the second smallest value in -151, -0.7, 0.0178? -0.7 Which is the fourth smallest value? (a) 14 (b) -0.5 (c) -1/5 (d) -823 a Which is the smallest value? (a) 3/5 (b) -1 (c) 2/11 (d) 2/9 (e) 0.0717 b Which is the smallest value? (a) -372/1055 (b) 1/3 (c) -1 c Which is the third biggest value? (a) -5 (b) -22.6 (c) -31 (d) -4 b What is the second biggest value in -3/13, -13, 136? -3/13 What is the smallest value in 1/5, -1/3, 4, -0.05, 17? -1/3 Which is the fifth biggest value? (a) -2/17 (b) 1/6 (c) -1/4 (d) 1/9 (e) 33 c What is the third smallest value in -0.3, -0.1, 91, -1/9, 0, -1? -1/9 What is the third smallest value in -0.06, 1.1, 4, -1/21? 1.1 What is the second biggest value in -54, -0.38, 2/7? -0.38 Which is the second smallest value? (a) 1564 (b) -5 (c) 76 c Which is the third biggest value? (a) 2/21 (b) 23502 (c) -3 (d) 2/11 (e) 2/13 e Which is the fifth biggest value? (a) -0.105 (b) -0.05 (c) 3 (d) 5 (e) -2 e What is the fifth biggest value in -7, 1, -0.1, -16.2, -0.2? -16.2 What is the second smallest value in -4, -266, -0.2? -4 Which is the third smallest value? (a) 420/31 (b) -0.04 (c) -4 a What is the third smallest value in 1/27, -5, 0.01, 6, -12? 0.01 Which is the second biggest value? (a) 21 (b) -2/21 (c) 6 (d) -0.1 c Which is the fifth biggest value? (a) 0.5 (b) 1/4 (c) 13 (d) -14 (e) -1.45 d Which is the fifth smallest value? (a) 12 (b) -1/12 (c) 3/2 (d) 0.3 (e) -539 a What is the second smallest value in -7/8, 0.1, -2/43, -2, -1, -1/4? -1 Which is the third smallest value? (a) 663 (b) 4 (c) -1 (d) -3 (e) 2 e What is the biggest value in 0.1, 2266, 0, -1? 2266 Which is the biggest value? (a) -0.4 (b) 2/49 (c) 0.135 (d) -2/9 c Which is the third smallest value? (a) 0.03 (b) -3/4 (c) -3 (d) -24 (e) 0.2 b Which is the smallest value? (a) -3893 (b) -2/7 (c) 20 a What is the sixth smallest value in -5, -0.1, -2/7, 2/3, 6, 39? 39 What is the second smallest value in -3, 1, -17236? -3 Which is the biggest value? (a) 8.2 (b) 0.3 (c) 8/3 (d) -1/3 (e) -0.4 (f) 17/8 a Which is the second smallest value? (a) 9 (b) 301/10 (c) 38 b What is the third smallest value in 2/3, -11/23, -5? 2/3 Which is the second biggest value? (a) 14 (b) 34 (c) 1/3 (d) -1/10 (e) -3 a What is the smallest value in -3, 2/31, 2/53? -3 What is the third biggest value in -1, -15/8, 199, 2/11, -0.3? -0.3 What is the biggest value in -1, -0.5, 3/37289? 3/37289 Which is the third biggest value? (a) -3256 (b) 0.2 (c) -226 a Which is the third biggest value? (a) 3.188 (b) 0.3 (c) -13 c What is the smallest value in 6.2, 1, -1/13? -1/13 What is the second smallest value in 29, 1/380, -2/7, -2/5, 0.7? -2/7 Which is the fifth smallest value? (a) -1/5 (b) -10 (c) -5/6 (d) 0.04 (e) -0.3 d Which is the smallest value? (a) -1 (b) -4 (c) -3211 c What is the fourth smallest value in -59, -10, 2, 14? 14 Which is the fourth biggest value? (a) -0.5 (b) -3/7 (c) 39756 (d) 5 a What is the second smallest value in -1/4, -10, -0.339? -0.339 Which is the smallest value? (a) 2175 (b) -7 (c) -0.2 (d) 1 b What is the second biggest value in 0.5, 11, -5, 4, 1, 3/11? 4 What is the fourth smallest value in 4, -4, -5, 3, -45653? 3 What is the second biggest value in 2, -1, -5, 28, 2.6? 2.6 Which is the third smallest value? (a) 2/177 (b) 3.5 (c) -24 (d) 5 b Which is the fifth biggest value? (a) 0 (b) 9 (c) -3 (d) -4 (e) 105 d What is the fifth smallest value in 9, -359, 0.5, 0.3, -5? 9 Which is the biggest value? (a) -4 (b) -195/2 (c) 1828 c Which is the second biggest value? (a) -2/9 (b) -1/4 (c) -1564/5 b Which is the fifth smallest value? (a) 0.5 (b) -0.5 (c) -1 (d) -51 (e) -1.2 (f) 0.4 f What is the third smallest value in -50, 3, 0.167? 3 Which is the fourth biggest value? (a) 0.2 (b) -28595/13 (c) 0.1 (d) 5/3 b Which is the fourth biggest value? (a) 0.5 (b) -1 (c) -0.4 (d) 0.4 (e) -31.5 (f) 1 c What is the second smallest value in 5, -0.57, -5, 81? -0.57 Which is the fourth smallest value? (a) 14 (b) -3378 (c) 3/5 (d) -5 (e) -4 c What is the third smallest value in 1, -4, -8, 3, -5, -7? -5 Which is the second smallest value? (a) -11 (b) 30 (c) -0.7 (d) -8 d Which is the second smallest value? (a) 4.6 (b) 0.4 (c) -7 (d) 9 (e) 0.5 b What is the smallest value in 1, 4, 0.5, 1/3, 0, -1612/17? -1612/17 Which is the fourth biggest value? (a) -0.04 (b) 3 (c) -0.2 (d) 1/10 (e) 1.354 a What is the third smallest value in -134, -0.3, 3, 115? 3 What is the third smallest value in 235, -4, 1/3, -82? 1/3 Which is the second biggest value? (a) -250 (b) -526 (c) 5 a What is the sixth biggest value in -6, -1/5, 1, -5, -96, 0.2? -96 What is the fourth smallest value in 1/6, -3, -68, -6/11, 3/2? 1/6 What is the fifth smallest value in -0.1, -3, -11.4, 18/5, -1/3, 3/2? 3/2 What is the fifth biggest value in 3/2, -0.2, -4, -5.78, -2/21? -5.78 What is the fourth biggest value in -148, -2/19, 5, -135? -148 Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -16 (d) -10.7 (e) -0.4 c Which is the fourth biggest value? (a) 152 (b) 5/4 (c) 4 (d) -138 d Which is the third smallest value? (a) -7 (b) -4 (c) -5 (d) 1/28 (e) -6/5 b Which is the third biggest value? (a) 0.5 (b) -17/8 (c) 1/22 (d) 0.7 c Which is the fifth smallest value? (a) -2/5 (b) -36 (c) 0.4 (d) 4/7 (e) 85 e Which is the second smallest value? (a) -0.4 (b) -4.12 (c) -0.2 (d) 177 (e) 3 a What is the second biggest value in -0.4, 0, 2/9, -1254, 0.07? 0.07 Which is the fourth smallest value? (a) 0.5 (b) -3 (c) 1.4 (d) 2/5 (e) -5 (f) -0.103 d What is the second smallest value in 0.8, -31, -4, -0.11? -4 What is the biggest value in -398/39, 28, 2/3? 28 What is the fourth smallest value in 13, -0.5, -95, 0, -1, 3? 0 Which is the third biggest value? (a) -1 (b) 4 (c) 158 a Which is the second smallest value? (a) 1/3 (b) 1205/2 (c) -3 a What is the biggest value in 2, -3/7, -0.0298? 2 Which is the third biggest value? (a) 5/4 (b) 4 (c) -43/6 (d) -2 d What is the third biggest value in 23580, 0.2, 1? 0.2 Which is the second smallest value? (a) -0.1 (b) 190 (c) 4 (d) 2/15 (e) 1/3 (f) 6 d What is the second biggest value in -1/6, 2, 1/954, -3, 4, 49? 4 What is the second smallest value in -3, 5/4, 21, 1/2, -37, 0.04? -3 Which is the second biggest value? (a) 84 (b) -0.08 (c) -3/4 (d) 0 d What is the biggest value in 2/7, -3/6685, 1/2? 1/2 Which is the smallest value? (a) 0.008 (b) 9835 (c) -4 c Which is the fourth biggest value? (a) -5/12 (b) -0.2 (c) 1/15 (d) -11 d Which is the third biggest value? (a) 0.1 (b) 0 (c) 0.5 (d) 31 a Which is the second smallest value? (a) 2 (b) 2/1359 (c) 4 (d) 1/2 (e) 0 b Which is the fourth biggest value? (a) -1/276 (b) -2/5 (c) -13 (d) 0.1 c Which is the third biggest value? (a) 0.04 (b) -5/4 (c) 3 (d) 5 (e) 222 (f) -2/7 c Which is the second smallest value? (a) 3 (b) -127 (c) -1/2 (d) -0.0659 c What is the third biggest value in -0.1,
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 14 and x. 2 Let u = 2 + -12. Let b be (1 - -4)*4/u. Let r be b/11 - (-266)/11. What is the greatest common factor of r and 6? 6 Suppose -221 + 51 = -2*h. Suppose 3*s - 110 = h. Suppose -w - 3*q = -14, 4*w - 3*q + 2*q = 108. Calculate the highest common divisor of s and w. 13 Suppose -z = 3*z. Let a(g) = g + 180. Let w be a(z). Let c = 26 + -6. What is the highest common divisor of w and c? 20 Suppose 2*s = 6*s - 48. Suppose 3*q + 336 = 7*q. Calculate the highest common factor of s and q. 12 Let p = 325 - 205. Suppose 2*i - 30 = -0. Calculate the highest common factor of i and p. 15 Let i = 9 + -2. Let d(x) = -18*x + 5. Let o be d(-4). Suppose 3*g - o = 2*g. Calculate the highest common factor of i and g. 7 Let y(p) = 0 + p**2 - 2*p**2 + 4. Let w be y(0). Suppose -w*d - 4*n + 4 = 0, 2*n = -0*n. What is the greatest common factor of 1 and d? 1 Let o = 5 + -7. Let i be o/(-7) - 48/(-28). Let f be 2/(i + (-40)/22). What is the highest common factor of f and 121? 11 Suppose -267 = -4*h - n, -2*h - 63*n = -66*n - 151. Let b = 25 + 9. What is the highest common divisor of h and b? 34 Let j be (2 + -3 - -4) + 69. Suppose 93 - 26 = 3*r - 2*h, -j = -3*r + 3*h. What is the highest common factor of 19 and r? 19 Let x be 9/(-21) - (-8)/((-168)/(-1143)). What is the greatest common divisor of x and 135? 27 Let j be 2 - 0/((-2)/(-1)). Let u = 8 - j. What is the greatest common divisor of u and 66? 6 Let q = 21 - -122. Calculate the greatest common divisor of q and 11. 11 Let i be (108/(-8) - 2)*-2. Suppose 0 = 4*d + i - 283. Calculate the greatest common divisor of 9 and d. 9 Suppose 1 = q - 17. Let x = -67 - -94. Calculate the highest common factor of x and q. 9 Let a(z) = 4*z - 1. Let u(f) = -f**2 + 9*f - 3. Let d(r) = 5*a(r) - 3*u(r). Let k be d(4). Let l = 21 - -15. What is the greatest common factor of l and k? 12 Suppose 0*p = -2*p + 8. Suppose -p*h + 4 = -2*q - 0, -2*h = -6. What is the greatest common factor of q and 20? 4 Let f be (3 - 3)/(-4) - 0. Let k be 3 + f + (-2 - -2). Let m(c) = 2*c**2 - 6*c - 3. Let h be m(6). What is the greatest common factor of k and h? 3 Suppose 3*q + 94 = 6*q - 4*i, 4*q + 2*i - 140 = 0. What is the highest common factor of 2 and q? 2 Suppose -140 - 52 = -4*c. What is the highest common factor of c and 64? 16 Suppose 2*d = -4*m + 3*d + 830, -3*d + 1046 = 5*m. Suppose m = -3*k - k. Let h be (k/(-5))/((-5)/(-50)). What is the highest common divisor of 13 and h? 13 Let b(n) = -n + 4. Let i = 6 + -2. Let p be b(i). Suppose m + m - 3*l - 41 = p, 40 = 5*m + 5*l. Calculate the greatest common divisor of m and 91. 13 Suppose -13*r + 8*r = -270. Calculate the highest common factor of r and 18. 18 Let t be 0/(6 - 3) + (-3 - -58). Let y = 87 + -142. Let m = y + 77. What is the highest common factor of m and t? 11 Let j(u) = u**3 + 35*u**2 + 63*u - 95. Let n be j(-33). Let m = 11 - -5. Calculate the greatest common divisor of n and m. 4 Let i be (198/12)/((-3)/(-18)). What is the highest common factor of 22 and i? 11 Let r(n) = n**3 + 5*n**2 + 2*n + 3. Let y be r(-4). What is the highest common divisor of y and 176? 11 Let o(x) = 5*x - 26. Let z be o(8). Calculate the highest common factor of z and 14. 14 Let d be -1 + 5/((-15)/9). Let g = d + 27. What is the greatest common factor of g and 46? 23 Suppose 0 = f + 5*a + 5, 2*f - 5 = -3*a - 1. Let r(v) = 3*v + 7. Let w be r(6). Calculate the greatest common factor of f and w. 5 Suppose 0*x + 4*x = 12. Calculate the highest common factor of 21 and x. 3 Let i(k) = k**3 - 4*k**2 + 11*k - 6. Let w be i(3). What is the highest common factor of 12 and w? 6 Let q = 86 + -75. Suppose 0 = 4*z - 2*j + 5*j - 179, 0 = 4*z - 4*j - 172. Calculate the greatest common factor of q and z. 11 Suppose -8*y = -0*y - 176. Calculate the greatest common factor of 55 and y. 11 Let c(b) = -b**3 + 4*b**2 + b - 2. Let m = 11 + -8. Let z be c(m). Let u(q) = 11*q**2 - 1. Let p be u(1). What is the highest common divisor of p and z? 10 Suppose -j - c + 3*c + 6 = 0, 0 = -5*j - 4*c + 30. Calculate the greatest common factor of j and 15. 3 Suppose s + 4*b + 16 = 0, s - 4*s - 24 = 4*b. Let j = s - -10. Calculate the greatest common divisor of j and 4. 2 Let c(b) = -b**3 - 3*b**2 + 7*b + 5. Let d be c(-4). Let u be 5/4 + d/28. Let t be 21/3 - u*-2. What is the greatest common factor of t and 45? 9 Let o(i) = -i**3 + 2*i**2 + 72. Let x(y) = y**3 + 1. Let g be x(-1). Let q be o(g). What is the highest common divisor of 9 and q? 9 Suppose 5 = -k - 2*x, 0 = -5*k + 2*x - 1 + 36. Let s(w) = w. Let y be s(1). What is the highest common divisor of y and k? 1 Let k be 152/10 + 5/(-25). Let s be 2/4 - (-33)/(-2). Let g = -11 - s. Calculate the highest common factor of k and g. 5 Let m = -71 + 198. Suppose -3*u + m = -53. What is the highest common divisor of u and 24? 12 Let n = 481 + -283. What is the greatest common factor of 18 and n? 18 Let d = 124 - 60. What is the greatest common factor of d and 16? 16 Suppose 51 + 57 = 4*w. Calculate the greatest common factor of 18 and w. 9 Let d be (42/(-49))/((-1)/14). Let y be d + 2 + 3 + -1. Calculate the highest common factor of 24 and y. 8 Let w(v) = v**3 + v**2 + 57. Let z be w(0). What is the highest common factor of z and 38? 19 Suppose -3*j + 5*i = 0, -3*j + j - 4 = -2*i. Let x be 472/20 - 2/j. Suppose -2*s + 0 = -x. What is the greatest common divisor of 132 and s? 12 Suppose 0 = 3*k - 34 + 13. Calculate the highest common divisor of k and 7. 7 Suppose -12 = -h - o, 0*h + 2*h = 2*o + 8. Let n(a) = -a**3 + 2*a**2 + a - 2. Let c be n(-2). Calculate the highest common divisor of h and c. 4 Let i(p) = p**3 + 0 + 6*p**2 - 3*p + 0 + 4*p + 7. Let k be i(-5). What is the greatest common factor of k and 3? 3 Let z be 8*(-12)/(-8) - -3. Let i = z - 10. What is the greatest common divisor of 15 and i? 5 Let v(a) = a**3 - 4*a**2 - 6*a + 4. Let r be v(5). Let x be (-6)/(-2) - (2 + -4). Let l = x - r. What is the greatest common factor of l and 2? 2 Let k be ((-2)/(-4))/(1/(-2)). Let x be k/(-2)*6*3. What is the greatest common factor of 72 and x? 9 Let p = -17 - -53. Calculate the highest common factor of p and 4. 4 Let s = 42 - 14. Let m = -33 - -117. Suppose 0 = -y - y + m. Calculate the highest common factor of y and s. 14 Let t(g) be the first derivative of 2*g**3/3 - 2*g + 1. Let y be t(2). Suppose -3*z - 48 = -5*z. Calculate the greatest common divisor of y and z. 6 Let r(f) = 12*f - 2. Let g(u) = -u - 1. Let i(c) = -3*g(c) + r(c). Let m be i(2). Let h be m/11 - (-4)/22. Calculate the highest common divisor of 6 and h. 3 Let l = 5 + -8. Let v = l + -4. Let y be (4 + v)*(-108)/2. What is the highest common divisor of y and 18? 18 Let z = 32 - 19. Let x be -3*(1 - 0/(-1)). Let d(r) = 8*r**2 + r - 4. Let u be d(x). Calculate the greatest common divisor of u and z. 13 Suppose 3*b + 0*b = 504. What is the greatest common divisor of b and 21? 21 Let p be 0 + 3 - 11/(33/(-6)). What is the highest common divisor of 15 and p? 5 Let v = -2 - -11. What is the highest common factor of v and 9? 9 Suppose -7*f = -27*f + 120. Calculate the greatest common factor of f and 15. 3 Suppose -5*f + 5*l + 3735 = 0, 0*f - 2241 = -3*f - l. Suppose 7*c - f = -110. Calculate the highest common factor of c and 13. 13 Suppose 76 = -7*t + 8*t. Let c(w) = 4*w**2 + 2*w - 1. Let h be c(2). What is the highest common divisor of h and t? 19 Let n be 4 + 2/4*-4. Suppose n*t - 38 = 4*d, 57 = 3*t + d - 28. What is the highest common divisor of t and 18? 9 Let t = -86 - -112. Calculate the highest common divisor of 78 and t. 26 Suppose 5*k + l = 1304, 3*k - 4*l = 2*k + 244. Calculate the highest common factor of k and 26. 26 Suppose 0 = l + 1 + 2. Let s be (l - -2)*1*-20. What is the highest common divisor of 80 and s? 20 Let u = 64 - 42. What is the highest common factor of 110 and u? 22 Let m be (4/6)/(4/138). Suppose -m = -3*l + 13. Let t be (-12)/(112/(-36) - -3). What is the greatest common factor of l and t? 12 Let h be (-77)/14 + (-2)/(-4). Let s be (h/(-5))/(3/6). What is the greatest common factor of 16 and s? 2 Let n = -33 + 45. What is the greatest common factor of 4 and n? 4 Let s be -2*3/(-18)*36. Calculate the greatest common factor of s and 84. 12 Let d(z) = z - 7. Let a be d(7)
{ "pile_set_name": "DM Mathematics" }
Let q(z) = 221*z. What is -2*j(c) - 7*q(c)? -233*c + 2 Let g(k) = -18*k**2 - 24*k. Let s(w) = 9*w**2 + 11*w. Calculate -6*g(u) - 13*s(u). -9*u**2 + u Let x(n) = 8*n - 5. Let f(t) = -3*t + 2. Let v(s) = -2*s. Let r(y) = 2*f(y) - 4*v(y). Let c be r(1). Let d(u) = 15*u - 9. Calculate c*d(z) - 11*x(z). 2*z + 1 Let n(c) = -c. Let f(h) = 5*h + 2. Let q be f(4). Let j(s) = -5*s + 22 - q + s. What is -j(r) + 5*n(r)? -r Let l(m) = 18*m**3 - 13*m + 13. Let o(g) = -3*g**3 + 12*g. Let a(u) = 4*u**3 - 11*u + 1. Let q(y) = 6*a(y) + 5*o(y). Determine -6*l(z) + 13*q(z). 9*z**3 Let a(p) = -3*p + 2. Let j(w) = 63*w - 21. Give -7*a(b) - j(b). -42*b + 7 Let y(q) = 26 - 51 + 5*q + 15. Let k(d) = -6*d + 11. Calculate 3*k(m) + 4*y(m). 2*m - 7 Let b be 32/6*(117/6)/(-13). Let m(i) = -2*i**2 + 3*i - 5. Let g(t) = t**2 - t + 2. Give b*g(r) - 3*m(r). -2*r**2 - r - 1 Let a = -10 + 4. Suppose -b = 4*o - 2*o - 16, 5*o - 5*b = 25. Let d(l) = -7*l**2 - 7*l + 2. Let g(p) = -8*p**2 - 8*p + 2. What is a*g(y) + o*d(y)? -y**2 - y + 2 Let s(k) = -3*k + 193. Let i(q) = 2*q - 191. Give -6*i(l) - 5*s(l). 3*l + 181 Let j(o) = o**2 - o - 2. Let n(a) = -7*a**2 + 6*a + 5. Let i(p) = 5*j(p) + n(p). Let s(m) = m**2 + 1. Give i(d) + 6*s(d). 4*d**2 + d + 1 Let b(k) = -2*k**2 - 55. Let q(o) = o**2 + 28. What is 4*b(g) + 7*q(g)? -g**2 - 24 Let k(w) = w - 3. Let f(g) = 2. Let x = 112 - 109. What is x*k(l) + 5*f(l)? 3*l + 1 Let r(k) = 2149*k**2 + 35. Let s(g) = -179*g**2 - 3. Determine 3*r(h) + 35*s(h). 182*h**2 Let w(o) = 3*o + 352. Let y(n) = -3*n - 353. What is -3*w(t) - 2*y(t)? -3*t - 350 Let f(x) = 420*x**3 + 70*x**2 + 35*x + 35. Let h(y) = 35*y**3 + 6*y**2 + 3*y + 3. What is -3*f(c) + 35*h(c)? -35*c**3 Let k(j) = -j + 1. Let t(y) = -1. Let u(f) = -4*f + 8. Let b(i) = 3*t(i) + u(i). Let c(d) = d**3 + 7*d**2 + 7*d + 5. Let m be c(-6). Determine m*b(w) + 3*k(w). w - 2 Let s(k) = k**2. Let h(c) = -7*c**2 - 11*c. Give h(z) + 6*s(z). -z**2 - 11*z Let f(v) = 3*v**2 - 6*v + 3. Let x(y) = -y**2 + 2*y - 1. Let k(i) = -26*i - 294. Let b be k(-11). Give b*x(r) - 3*f(r). -r**2 + 2*r - 1 Let m(z) be the third derivative of z**4/12 + z**3/2 - z**2 + 96. Let d(s) = -1. What is 4*d(x) - m(x)? -2*x - 7 Let o(p) = p**2 - 23*p - 6. Let c(b) = b**2 - 45*b - 10. Determine -4*c(x) + 7*o(x). 3*x**2 + 19*x - 2 Let i(u) = -36*u. Suppose 0 = 1703*c - 1694*c + 198. Let p(s) = 9*s. Give c*p(v) - 6*i(v). 18*v Let l(z) = -2*z**3 - z**2 - 4*z - 3. Suppose -3*g - 16 = -13. Let m be l(g). Let t(s) = -s**2 - s - 1. Let r(y) = 4*y**2 + 2*y + 2. Determine m*t(k) + r(k). 2*k**2 Let c(b) = b**2 + 10*b + 26. Let g be c(-7). Let z(d) = -4*d + 4. Suppose -2*u + 3 = -u. Let w(r) = u + 2*r - 5 + 0*r. Calculate g*w(y) + 2*z(y). 2*y - 2 Let i(h) = -4*h + 3. Let d(g) be the third derivative of -g**3/6 - 1507*g**2. Suppose -3 = 3*p - 2*p. Give p*d(n) - i(n). 4*n Let v(u) = -11*u**3 - 3564*u**2 + 16*u - 32. Let i(w) = 4*w**3 + 1188*w**2 - 6*w + 12. What is 8*i(r) + 3*v(r)? -r**3 - 1188*r**2 Suppose -t = -4*h + 17, -4*t - 17 = -20*h + 21*h. Let a(w) = -2*w**3 - w**2 - w + 3. Let r(k) = 2*k**3 + k**2 + 2*k - 4. Calculate h*r(n) + 4*a(n). -2*n**3 - n**2 + 2*n Suppose 9 = -2*y - 1. Let k be -24 + (y - -3) + 0. Let l be (-2)/(-3) + k/(-6). Let d(o) = o - 1. Let r(j) = -j + 1. Determine l*r(z) + 6*d(z). z - 1 Let q(b) = 22*b**3 + 10*b. Suppose 2*u = 8*u - 222. Let m(s) = u*s + 7*s**3 - 70*s + 36*s. Determine -10*m(j) + 3*q(j). -4*j**3 Let x(o) = 153*o**2 - 4*o. Let w(c) = -c**2 + c. Determine -4*w(v) - x(v). -149*v**2 Suppose 5*r - 2*y = -9, 1 = -4*y + 9. Let u(z) be the first derivative of -z**2 + 2*z - 1. Let w(s) = -s. Let q = -5 + 8. Give q*w(b) + r*u(b). -b - 2 Let t(p) be the third derivative of p**6/40 - p**5/20 + 11*p**4/24 - 5*p**3/6 - p**2 + 166*p. Let o(z) = 2*z**3 - 2*z**2 + 6*z - 3. Give -5*o(a) + 3*t(a). -a**3 + a**2 + 3*a Let z be (-2 - 1/(-2))*(-14)/21. Let n(k) = k. Let r(f) = -6*f - 1. Determine z*r(i) + 4*n(i). -2*i - 1 Let z = -18 + 28. Let d(p) = -z*p + 7*p - p - 8*p**2 - 13*p. Let j(o) = -o**2 - 2*o. Determine 6*d(l) - 51*j(l). 3*l**2 Let p(k) = k**2 - k + 1. Let s(b) = 5*b**3 + 25*b**2 - 25*b + 25. Let l be (-3 - 9/(-6)) + 4/8. Determine l*s(x) + 25*p(x). -5*x**3 Let t(n) = -3*n**3 - 5*n**2 - 4 + 11 + 4*n**3 + 6*n. Suppose 0 = -4*c + 62 + 26. Suppose 4*v + c = 18. Let p(f) = f**2 - f - 1. Give v*t(s) - 5*p(s). -s**3 - s - 2 Let h(g) = g**2 - 3*g - 2. Let f be h(3). Let m(c) = c - 5. Let s(k) = -85 + 173 - 87. Give f*m(q) - 11*s(q). -2*q - 1 Let v(k) = -7*k. Let a(y) = 6*y - 1. Let u(d) = -3*a(d) - 2*v(d). Let t(m) = -m + 1. Suppose -j - 4*j - 2*l = 4, 0 = -4*j - 5*l + 7. Give j*t(i) + u(i). -2*i + 1 Let o(q) be the second derivative of q**5/10 - q**2/2 - 231*q - 1. Let z(a) = 2*a**3. Give -5*o(b) + 6*z(b). 2*b**3 + 5 Let o(i) = -13*i + 10 - 31 - 12*i**2 + 10*i**2 + 7*i**2. Let z(d) = d**2 - 3*d - 5. Give -2*o(y) + 9*z(y). -y**2 - y - 3 Let z(v) = 15*v**2 + 14*v. Let c(a) = -2*a**2 - 2*a. Give -6*c(k) + z(k). 27*k**2 + 26*k Let r(z) = -3*z + 7. Suppose 0 = -10*t - 237 + 471 - 254. Let w = -1 - -6. Let d(j) = -j + 3. Calculate t*r(u) + w*d(u). u + 1 Let f(y) = y**3 - 2*y**2 - 4*y - 2. Let a(l) = -15*l**3 + 6*l**2 + 33*l**3 - 7*l**3 + 6 + 11*l - 3*l**3 - 10*l**3. Calculate -4*a(s) - 11*f(s). -3*s**3 - 2*s**2 - 2 Let y(j) = -3*j**2 - 6*j. Let a(m) = 7*m**2 + 13*m. Suppose -5*c - l = -84 + 145, 2*c + 14 = -3*l. What is c*y(b) - 6*a(b)? -3*b**2 Let c(i) = 21*i**2 - 29*i - 24. Let m(l) = -5*l**2 + 7*l + 6. Determine 2*c(n) + 9*m(n). -3*n**2 + 5*n + 6 Suppose 2*j - 4*l - 6 = 0, 2*j - l - 14 + 5 = 0. Let d(y) = 4*y. Let f(x) = -1. Let h(t) = j*f(t) - d(t). Let r(g) = 6*g + 7. Calculate -7*h(u) - 5*r(u). -2*u Let v = -10 + 12. Let d(j) = j - 2*j + 0 - v + 4. Let g(z) = 6*z - 11. Suppose -5*u + 4*m - 52 = 114, m = -u - 35. Give u*d(s) - 6*g(s). -2*s - 2 Let v(u) = 17*u**3 + 5*u**2 - 12*u - 9. Let j(y) = 4*y + 15. Let w be j(-6). Let b(c) = 4*c**3 + c**2 - 3*c - 2. Determine w*b(z) + 2*v(z). -2*z**3 + z**2 + 3*z Let w(f) be the third derivative of 1/24*f**4 - 8*f**2 + 0 + 5/6*f**3 + 0*f. Let n(u) = u + 9. Calculate -3*n(m) + 5*w(m). 2*m - 2 Let u(x) = -3*x**2 + 7*x - 1. Let t(g) = 10 - 9 + 10 - 12 + 8*g - 3*g**2. Give 5*t(s) - 6*u(s). 3*s**2 - 2*s + 1 Let g(w) = -3*w - 3. Let b(r) = 0 + 3 - r - 4. Let l be (4 - 6)*20/(-8). Suppose -2*v + 15 = -l*v + 2*j, 10 = -2*v + 4*j. Give v*b(u) + g(u). 2*u + 2 Let o(d) = -2*d - 9. Let y(i) be the second derivative of i**3/6 + 2*i**2 - 37*i - 6. What is -3*o(x) - 7*y(x)? -x - 1 Let a(u) = 3*u**2 + 6*u + 4. Let i(l) be the second derivative of 11/6*l**3 + 5/12*l**4 + 0 + 7/2*l**2 + 16*l. Calculate -11*a(f) + 6*i(f). -3*f**2 - 2 Let b(d) = 5*d**2 + 30*d + 5. Let j(t) = -t**2 + t - 1. Calculate b(z) + 6*j(z). -z**2 + 36*z - 1 Let q(d) = d**3 - 7*d**2 + 3*d + 1. Let g(k) = -6*k**2 + 4*k. What is -3*g(z) + 2*q(z)? 2*z**3 + 4*z**2 - 6*z + 2 Let n(m) = -9*m**3 - 3*m**2 + 3*m + 3. Let p(z) = z + z**2 - 4 - z**3 - 2 + 7 - 2*z**2. Let a(i) = 2*i**2 + 7*i - 5. Let y be a(-4). What is y*n(k) + 3*p(k)? 6*k**3 Let y(c) = -7*c**2 - 5*c - 11. Let j(g) = 9*g**2 + 10*g + 19. Let p(u) = 35*u**2 + 41*u + 77. Let a(k) = -9*j(k) + 2*p(k). Determine -5*a(b) + 8*y(b). -b**2 - 3 Let g(r) = r**2 + 2*r - 2. Let d be g(1). Let u(t) = -t. Suppose 64*y = 62*y + 4. Let w(m) = -2*m**2 + 2*m - 2. Give d*w(z) + y*u(z). -2*z**2 - 2 Let u(f) = -11*f + 5. Let i(a) = a**2 - 3*a - 3. Let r be i(5). Let l = -618 - -615. Let o(j) = -5*j + 2. What is l*u(n) + r*o(n)? -2*n - 1 Let q(w) = 7*w**2 - 9. Let h(p) = p**2 - 1. Let a(k) = -9*k + 68. Let j be a(8). Give j*h(s) + q(s). 3*s**2 - 5 Let m(d) = 99*d - 51. Let v(x) = 14*x - 7. Determine 4*m(t) - 30*v(t). -24*t + 6 Let h(a) = 14*a**2 + 15*a + 3. Let k(n) = -13*n**2 - 12*n - 2. Give 3*h(y) + 4*k(y). -10*y**2 - 3*y + 1 Let a be (-9)/27 + (-7)/(-3). Let d(u) = 3*u - 4 - 1 - 2*u. Let j(t) = 5. Let o(b) = -4. Let c(k) = 3*j(k) + 4*o(k). What is a*c(h) - d(h)? -h + 3 Let o(u) = 6*u**2 + 8*u - 9. Let k(q) = 16*q**2 - 6 - 11*q**2 - 1 - 1 + 7*q. What is -7*k(d) + 6*o(d)? d**2 - d + 2 Let c(s) = 5*s**3 + 8*s**2 + 2*s + 10. Let g(b) = -9*b**3 - 14*b**2 - 3*b - 17. Determine -7*c(y) - 4*g(y). y**3 - 2*y - 2 Let y(x) = -x**2 + x + 1. Let t(n) = -7*n**2 + 5*n - 416. Give -t(m) + 5*y(m). 2*m**2 +
{ "pile_set_name": "DM Mathematics" }
ctors of f(0). 5, 19 Suppose 0 = -19*h + 6094 - 736. List the prime factors of h. 2, 3, 47 Suppose -815 = -14*i - 17. What are the prime factors of i? 3, 19 Let a(v) = -22*v**3 - v**2 - 3*v - 2. List the prime factors of a(-1). 2, 11 Let d(f) = 2*f**2 + 7*f + 6. Let c be d(-5). Suppose 4*i + 3*g - 4*g - c = 0, 5 = -5*g. Suppose 0 = i*j - 54 + 9. List the prime factors of j. 3 Suppose 4*z + 5*g = -17, 3*z = 3*g - 0 + 21. Suppose h + 4*b = 5*b - z, -5*h + 40 = 5*b. List the prime factors of h. 3 Let i(g) = 12*g**2 + 9*g + 12. What are the prime factors of i(5)? 3, 7, 17 Suppose 3*r + 39 = -l - l, 5*l - 3*r = -129. What are the prime factors of 3*1*(-88)/l? 11 Suppose -44 = -4*a - 2*k, 2*a - 55 = -3*a - 4*k. List the prime factors of a. 11 Suppose -5*a - 2*z + 11 = -8, 4*z - 20 = -4*a. Let g = -16 - -34. Suppose -6 = -a*h + g. List the prime factors of h. 2 Suppose -382 = -7*d + 255. What are the prime factors of d? 7, 13 Let q = 6 + -5. Let s(p) be the first derivative of 8*p**3/3 - p**2 + p - 1. List the prime factors of s(q). 7 Suppose -3*r - 5 = -2*r, -5*r - 10 = -3*c. List the prime factors of ((-96)/15)/(1/c). 2 Let z(f) = -f**3 + 2*f. Let r be z(-3). Suppose 11*q - r = 10*q. List the prime factors of q. 3, 7 Let o(u) = 21*u - 24. List the prime factors of o(10). 2, 3, 31 Let b = 24 - -5. What are the prime factors of b? 29 Suppose 4 = -4*m - 4*f, -8 = 4*m - m + 4*f. Suppose 0 = 8*x - 3*x - 5, 0 = -5*z + 5*x + 20. Suppose -z*a + m*a = -7. What are the prime factors of a? 7 Let o be ((-1)/2)/((-1)/8). Suppose h - 8 = g - 3*h, 5*h = -o*g + 10. Suppose x - 3*i + 6 = g, -x = -5*i + 5 + 7. List the prime factors of x. 3 Let z(c) = c**2 + 8*c. Let m be z(-7). Let d(y) = -y**3 - 8*y**2 - 13*y - 2. List the prime factors of d(m). 2, 5 Let p(x) be the third derivative of x**6/120 + x**5/6 - x**4/12 + 2*x**3/3 - 5*x**2. What are the prime factors of p(-10)? 2, 3 Let m = 11 + -7. Suppose m*o = 2*w - 0*w + 2, 4 = 3*o - 2*w. What are the prime factors of 92/10 - o/(-10)? 3 Let c(o) = o - 11. Let d be c(9). Let t be -1 + 21 + (d - -3). Suppose 5*x - k - 63 = 0, 2*x - t = k - 2*k. List the prime factors of x. 2, 3 Suppose 0 = -m + 2*y + 86, -4*y + 0*y = 2*m - 148. List the prime factors of m. 2, 5 Let y be 1/4 + (-62)/(-8). Let q be 1*2/2 - -1. Suppose q*n - 20 + y = 0. What are the prime factors of n? 2, 3 List the prime factors of ((-104)/10)/(8/(-20)). 2, 13 Suppose 2 = a - 3*p + 17, -a = -2*p + 10. Suppose 48 = 3*x - a*z - 3*z, 3 = -z. List the prime factors of x. 13 Let h(r) = -11*r - 5. List the prime factors of h(-6). 61 Suppose -3*j - 2*s = -s - 91, 4*j = -5*s + 125. List the prime factors of j. 2, 3, 5 Let l(w) = w**2 - w + 1. Let d(s) = -4*s**2 + 15*s - 11. Let q(i) = d(i) + 3*l(i). What are the prime factors of q(10)? 2, 3 Suppose 2 = 2*x - h - 2, 8 = -3*x + 5*h. Suppose 0 = 3*c + x*k + 14, -c = -3*c + 5*k + 29. Suppose 8 = 6*u - c*u. List the prime factors of u. 2 Suppose -2*m - m - 2*q = 4, 0 = -5*m - 3*q - 5. Suppose -m*o = -0*o. Suppose 3*x = 4*s + 33, 5*x + 4*s - 55 = -o*x. What are the prime factors of x? 11 Let p(v) = v - 5. Let o be p(9). Let b(z) = z**3 - 5*z**2 + 4*z + 3. Let a be b(o). Suppose 0 = 2*k - 3 - a. What are the prime factors of k? 3 Suppose 0 = 5*m + 2*k + 30, m + 6 = -0*m + k. Let y = 14 + m. Let g = y - 5. What are the prime factors of g? 3 Let w(o) = 20*o**2 - 10*o + 3. What are the prime factors of w(4)? 283 Suppose -72 = 4*d + 5*w - 335, 2*w - 254 = -4*d. What are the prime factors of d? 2, 31 Let q = 34 - 19. Suppose 5*i + 0*i - 125 = 0. Let s = i - q. List the prime factors of s. 2, 5 Let t = -7 + 12. Suppose t*k = 5*x + k + 25, -3*k = -4*x - 19. List the prime factors of 0/(1 - x) - -11. 11 Let c(k) = 3*k**2 - k - 5. Let t be c(-6). Suppose 5*l + i - 104 = 0, t = 4*l + l - 4*i. List the prime factors of l. 3, 7 Let t = 1 - -1. Suppose 3*h = -4*z + 71, 4*h - 3*z = 3*h + t. What are the prime factors of h? 17 Let o = 61 - 26. What are the prime factors of (-1)/(-4) - o/(-4)? 3 Suppose 0 = w - 67 - 2. List the prime factors of w. 3, 23 Let b(p) = -13*p**3 - p + 3. List the prime factors of b(-2). 109 Suppose -89 + 11 = -2*u. What are the prime factors of u? 3, 13 Let d(h) = -h**3 + 5*h**2 - h - 4. Let t be d(4). Suppose -u - 2 = -5*k - 9, t = 2*u - 4*k. Let p(o) = 2*o**2 - 2*o - 2. What are the prime factors of p(u)? 2 Suppose 5*l - 6 = 19. Suppose -y = l*h - 32, -h - 29 = -3*y + 67. List the prime factors of y. 2 Suppose -4*u = 5*c + 9, 2*c = -2*c - 5*u. Let d(s) = -3*s - 5. List the prime factors of d(c). 2, 5 Let u = -5 + 11. Let f = -128 - -186. List the prime factors of (-1)/(-3) + f/u. 2, 5 Let b(f) = f**2 + 14*f - 26. List the prime factors of b(-17). 5 Suppose 3*x - i + 1 = -9, -6 = 2*x - i. Let d(w) = -5*w - 5. Let r be d(x). Suppose -2*u - 3*b + 2*b = -r, b - 5 = 0. List the prime factors of u. 5 Let b = -9 - -9. Let p(d) = -d**3 - d**2 - d + 23. What are the prime factors of p(b)? 23 Let r be 2/(-4 - -3) + -12. Let s = r + 30. What are the prime factors of s? 2 Let h(k) be the first derivative of -2*k**2 + k + 1. Let r(p) = -p**2 - 2*p - 1. Let m be r(-2). List the prime factors of h(m). 5 Suppose -6*o = -2*o - 252. What are the prime factors of o? 3, 7 Suppose 0 - 3 = -w. Suppose 10*t - 5*t - 20 = -5*o, -t - 28 = -w*o. List the prime factors of o. 2 Let x = 59 - 21. What are the prime factors of x? 2, 19 Suppose 7 = -2*w + 3*x + 26, 5*x = 5*w - 35. Suppose w*q = -q + 27. What are the prime factors of 6*((-24)/q)/(-2)? 2 Let x = -3 - 6. List the prime factors of x/(-6)*42/9. 7 Let y(b) be the third derivative of -b**6/120 - b**5/12 - b**4/4 - 2*b**3/3 - b**2. Let q be y(-4). Let w = 8 - q. What are the prime factors of w? 2 Suppose -5 + 2 = -d. Suppose 3*m - 15 + d = 0. What are the prime factors of m? 2 Let r be -2 - (1 + -1 + -7). Suppose 2 - 17 = -5*v, -r*j = -3*v - 51. What are the prime factors of j? 2, 3 List the prime factors of 4*(-1*(-3 + 2) + 15). 2 Let q be (-64)/(4/(-2)) + -2. Suppose -g - 3 = -4*n + 4, 5*n + 3*g = q. Suppose 5*l = -25, n*w - 8 - 12 = l. List the prime factors of w. 5 Let a = -6 - 0. List the prime factors of 12 - 3*(-4)/a. 2, 5 Let u = 2 - -2. List the prime factors of u. 2 Let n be (6/4)/(22/1628). Let v = 169 - n. What are the prime factors of v? 2, 29 Let m be (-6)/(-15) - (-8)/5. List the prime factors of (2/(-6))/(m/(-78)). 13 Suppose -2*m = 2*m - 352. What are the prime factors of m? 2, 11 Suppose -r = -p - 20 + 7, 13 = r - 5*p. List the prime factors of r. 13 Let k = 12 - 18. Let m = k + 20. What are the prime factors of m? 2, 7 Suppose 3*q - 2 = 2*q. List the prime factors of q. 2 Suppose 4*g - 2*g - 66 = 0. Suppose -20*u + 19*u = -47. Let c = u - g. What are the prime factors of c? 2, 7 Let u(f) = -9 - 7 + 7*f + 14. What are the prime factors of u(6)? 2, 5 Let f = -2 - 0. Let n be -2 + (f - 6*-1). Suppose -j + n*g = 2, 3*j - 45 = -2*j - g. List the prime factors of j. 2 Let j be ((-50)/3)/(2/6). Let y = j + 76. List the prime factors of y. 2, 13 Suppose 6*o = -0*o + 18. What are the prime factors of o? 3 Let c be (5 - -1)*(-1)/(-3). Let t(n) = 2*n**2 - 2*n + 2. What are the prime factors of t(c)? 2, 3 Let z(o) = -o**2 - 13*o - 10. Let b be z(-12). Let k = 7 - b. What are the prime factors of k? 5 List the prime factors of 9/18 - (-29)/2. 3, 5 Let d = -9 - -11. Suppose 0 = 5*f + g - 199, -d*g = -2*f - 0*g + 82. List the prime factors of f. 2, 5 Suppose 12*u - 11*u - 114 = 0. What are the prime factors of u? 2, 3, 19 What are the prime factors of 12/(-10)*-110*(-8)/(-24)? 2, 11 Let q(k) = -7*k + 25. What are the prime factors of q(-7)? 2, 37 Let a(c) = 6*c**2 + 2*c - 10. Let y(g) = -g**2 - g + 1. Let l(d) = -a(d) - 5*y(d). Let x be l(4). What are the prime factors of x/((-20)/22 - -1)? 11 Let l(u) = 2*u - 2. Let i be l(2). Suppose 12 = g + i*g. What are the prime factors of g? 2 Let l = 2 - -42. Let n = l + -16. List the prime factors of n. 2, 7 Suppose -2*c + 3*b = -43 - 8, 100 = 5*c - 2*b. Suppose 18 + c = 4*f. What are the prime factors of f? 3 Let q = 5 + -4. Let y = q - -17. Suppose 3*v - 3*p - y = 0, -3*v + 6 = -4*p - 15. What are the prime factors of v? 3 Let q(l) be the third derivative of -5*l**4/12 - l**3/6 + 2*l**2. Let s(k) = -k - 2. Let w be s(0). What
{ "pile_set_name": "DM Mathematics" }
ounded to 6 dps? 0.000002 Let u = 0.14 - -21.86. Let t = -610357.99981 + 610380. Let c = u - t. What is c rounded to five dps? -0.00019 Let w = 171.7 + -171.697856. What is w rounded to 4 dps? 0.0021 Let p = -3199 + 3201.694. Let y = -2.36 + p. What is y rounded to two dps? 0.33 Let p = -0.203 + 0.94. Round p to 1 decimal place. 0.7 Let i = -3134885 - -3134886.499919. Let r = -1.5 + i. Round r to 5 decimal places. -0.00008 Let f = -4.788478462 + 465.788498362. Let l = -461 + f. What is l rounded to 6 decimal places? 0.00002 Let q = 162.23 + -159. Let y = q - -0.47. Round y to the nearest integer. 4 Let m = 802.000724 - 802. Round m to four dps. 0.0007 Let v = 1.6 - -4.5. Let x = -40.1 + v. Let j = x + 33.9979. Round j to three dps. -0.002 Suppose -2*d = 3*d - 20. Let y = -1 + d. Suppose 135 = -0*g + y*g. Round g to the nearest 10. 50 Let r = -3 + -22. Let z = r + 24.999999956. What is z rounded to seven dps? 0 Let t = 3.7 + -8.78. Let k = 6 + t. Let g = k + -3.77. Round g to 1 decimal place. -2.9 Let f = 2 + -1.26. Let d = -0.26 - f. Let i = -0.999959 - d. What is i rounded to 5 dps? 0.00004 Let h = -21.4 + 26.07. Let v = h - 2.29. Round v to 0 dps. 2 Let z = 185.001016 - 185. What is z rounded to five decimal places? 0.00102 Suppose 0 = -23*g + 25*g - 4248. Round g to the nearest one hundred. 2100 Let c = -25918 + 25921.3954. Let v = c - 3.4. Round v to 2 decimal places. 0 Let n = -4.74 - -0.74. Let g = -3.99999672 - n. Round g to six decimal places. 0.000003 Let d = 1.17 - -69.83. Let r = -74.3 + d. Round r to the nearest integer. -3 Let s = 0.126 - 0.087. Let h = s - 0.03900055. What is h rounded to 6 decimal places? -0.000001 Let t = -364 - -182. Let x = t + 182.0000151. What is x rounded to 6 dps? 0.000015 Let q = -99.4 + 99.399999156. What is q rounded to seven decimal places? -0.0000008 Let t = -3.726 - 483.184. Let g = t - -473. Let p = g - -14. Round p to one dp. 0.1 Let f = -57.599127 + 57.6. Round f to four dps. 0.0009 Let y be (-640)/2*((-381050)/20 - 10). Round y to the nearest one million. 6000000 Let t(l) = 88*l**2 + 7*l - 10. Let y be t(6). Suppose -41*o + 40*o = y. What is o rounded to the nearest one thousand? -3000 Let b = -37.9 + 37.9205. What is b rounded to 2 dps? 0.02 Suppose 4*x - 2*n + 3*n = 3, -4*x = -4*n + 12. Suppose x = f + f - 448000. Round f to the nearest ten thousand. 220000 Let q = -28.9784 - -28.7. Round q to 1 dp. -0.3 Let c = -1239 - -1251.34. Round c to the nearest 10. 10 Let j = -16 + 16.35. Let g = -28.65 - j. Let m = g + 28.9826. Round m to three dps. -0.017 Let v(b) = -b**2 + 6*b - 8. Let w be v(4). Suppose 0 = k - w*k - 2. Suppose -6496754 = -k*d + 19903246. Round d to the nearest one million. 13000000 Suppose 50 = 2*o - 2*a, -2*o = -7*o + 3*a + 133. Let q = 29 - o. Suppose q = 5*w + 881172 + 218828. Round w to the nearest 10000. -220000 Let a be 113674 - (-7 + (-4)/(-1)). Let u be a/(-3 + (-7)/(-2)). Suppose 0 = -2*j + 25354 - u. What is j rounded to the nearest 10000? -100000 Let a(w) = 2*w + 1. Let h be a(0). Suppose -2*l - 449 = -3*y + 67, -5*y = 2*l - 844. Let d be (-6 + 3 + h)*y. Round d to the nearest one hundred. -300 Let p = 28.7 - 29.516. What is p rounded to one decimal place? -0.8 Let y(v) = v**2 + 5*v + 5. Let n = -11 - -6. Let a be y(n). Suppose -a*l + 6131466 = 531466. Round l to the nearest 100000. 1100000 Let c = 1070.0698 - 1070. What is c rounded to 2 decimal places? 0.07 Let d = 1.24 + -1.5. Let f = -0.18 + d. Let m = 0.439924 + f. What is m rounded to 5 decimal places? -0.00008 Suppose 2166379 - 93154879 = 3*t. Let d = -86633479 - t. Let n = -38903979 - d. Round n to the nearest one million. 17000000 Let o = 0.201 + -1.376. What is o rounded to the nearest integer? -1 Let i = -11327575 - -11327567.7999969. Let p = i - -7.2. Round p to six dps. -0.000003 Let a be 15*(-1)/((-3)/9596572). Suppose 5*g - a = -5*o, -11961849 = -o + 5*g - 2365247. Suppose 3596577 = 4*m + o. Round m to the nearest one million. -2000000 Let a be (3160/(-12))/((-20)/(-660)). What is a rounded to the nearest one thousand? -9000 Suppose 2*j - 3*i + 5*i - 6 = 0, 0 = -3*j - 5*i + 11. Suppose -j*b + 0*b - 998 = 0. Let f = -737 - b. Round f to the nearest 10. -240 Let g(l) = 39*l - 1. Let w be g(-1). Let k be (w/140)/((-2)/14). Suppose k*j = -15 - 239. What is j rounded to the nearest 10? -130 Let v = 18 + 9. Let u = 21.9 - v. Let y = u - -1.6. Round y to zero dps. -4 Let k = 6141 - 11745. Let t = k + 5612.8098. Let u = -8.8 + t. What is u rounded to three dps? 0.01 Suppose -4200 = 4*o + o. Let d be 0*(0 + 1) + o. Round d to the nearest 100. -800 Let u = 8001 - 1901. What is u rounded to the nearest one thousand? 6000 Let q = 2.40002235 - 2.4. Round q to six dps. 0.000022 Let c be 0 - (-2 + 1 + -4). Suppose c*i + 5*m - 37522 - 11988 = 0, -m - 29698 = -3*i. Round i to the nearest 1000. 10000 Let a be ((-10)/15)/(1/(-3)). Suppose -5*y = -0*y - h + 16846, h + 6744 = -a*y. What is y rounded to the nearest 1000? -3000 Let q = -1380352.3 - -1380360.3000004. Let i = -0.14 + -7.86. Let h = q + i. What is h rounded to 6 dps? 0 Let w = 298.936 - -0.064. Let x = -298.9797 + w. What is x rounded to 3 dps? 0.02 Let q = -6.9999892 - -7. What is q rounded to five decimal places? 0.00001 Let l = 104 + -103.02. Let y = 0.976 - l. What is y rounded to two dps? 0 Let r = -1016.8382 - -1017. Let x = -0.26 + 0.1. Let b = r + x. What is b rounded to three decimal places? 0.002 Let d = -13.06 - -10.6. Let r = 127.46 + d. Let j = 123.99 - r. Round j to 1 dp. -1 Let n = 17.5124 - -1.1006. Let z = -18.5 + n. What is z rounded to two dps? 0.11 Let c = -12644 - -12644.5869. Round c to 2 dps. 0.59 Let k be 14 - 34467/6 - (-1)/2. Round k to the nearest 100. -5700 Let m = 5.3 - 5.92. Let r = m - -0.62000371. Round r to 7 decimal places. 0.0000037 Let o = -2706.9999801 + 2707. What is o rounded to seven dps? 0.0000199 Let g = -1511.999359 + 1512. What is g rounded to 5 decimal places? 0.00064 Let x = -89 + 89.118. Let l = x + -0.11799998. Round l to 7 dps. 0 Let x = 780.9441 - 781. Round x to 2 dps. -0.06 Suppose 49*k - 3723 = -177379. Round k to the nearest 1000. -4000 Let j = -33.000001128 - -33. What is j rounded to seven dps? -0.0000011 Let t = -110649.93 - -109738. Let r = -917 - t. What is r rounded to 1 dp? -5.1 Suppose 0*n = 4*n + 2*l + 1288, 5*n = 3*l - 1588. Let i be n/(-70) - 4/7. Let w be 920/(i/(-800)*-4). Round w to the nearest 10000. 50000 Let c = -25.687982017 - -25.688. What is c rounded to seven decimal places? 0.000018 Suppose -7*n + 1509 + 3202 = 0. Suppose -n = -3*h - 151. Round h to the nearest ten. 170 Let p = -421.9922 - 0.0078. Let z = p + 426.82. Let x = z + -0.02. What is x rounded to the nearest integer? 5 Let k = -16057 - -83057. Round k to the nearest 10000. 70000 Let j = -1482 + 1482.001169. Round j to four decimal places. 0.0012 Let c = -2.949999994 + 2.95. Round c to 7 decimal places. 0 Let w = 32.97090231 - 0.97090176. Let f = w + -32. Round f to 7 dps. 0.0000006 Let l = 2.86 + -221.86. Let k = l + 218.99861. Round k to 4 decimal places. -0.0014 Let i = -4387 + 4386.999997903. Round i to 7 decimal places. -0.0000021 Suppose 3*w = 3252893 + 1705435. Let g = w + -758959. Suppose 5*z = g - 73817. Round z to the nearest 10000. 160000 Let m = 2861.2467 + -2861. Let b = 530.259 - 530. Let j = m - b. Round j to 3 dps. -0.012 Let n = 1868.722 + -1867. Let b = -1.75 + -0.05. Let z = b + n. Round z to two dps. -0.08 Let s = 0.6027 - 0.602702723. Round s to 7 dps. -0.0000027 Let v(a) = -8646714*a**3 + a**2 + 2*a + 1. Let c be v(-2). Let h = c - 46573713. What is h rounded to the nearest one million? 23000000 Suppose 9*h + 4 = 13. Let z be -3500*(4996 - (h + -5)). Round z to the nearest 1000000. -18000000 Let r = 1813663.9763 + -1813484. Let c = -180 + r. What is c rounded to three decimal places? -0.024 Let b = 842 + -841.9992178. Round b to 4 dps. 0.0008 Let b be ((-10)/(-3))/((-3)/(-244710)). What is b rounded to the nearest 10000? 270000 Let l be -4 + 4 - -2 - -1256. Let b = 414 + -2222. Let o = l + b. What is o rounded to the nearest 100? -600 Let k(c) = -c**3 - 2*c**2 - 3*c - 2. Let l be k(-2). Let n be 1 + 3/12*l. Suppose i + n*i = 210. Round i to the nearest ten. 70 Let x = 54.947 + 0.053. Let n = 50.2 - x. Wh
{ "pile_set_name": "DM Mathematics" }
gnvmvtv? 1/42 Four letters picked without replacement from qqqpqqdqdpkwwpp. Give prob of sequence wdkw. 1/8190 Calculate prob of sequence qtv when three letters picked without replacement from tqthqdv. 2/105 Two letters picked without replacement from {v: 7, l: 9}. What is prob of sequence ll? 3/10 Two letters picked without replacement from dddr. Give prob of sequence dr. 1/4 Three letters picked without replacement from {y: 3, i: 4, j: 1}. What is prob of sequence iyi? 3/28 Four letters picked without replacement from {z: 8, b: 1, p: 5, r: 3, i: 2}. Give prob of sequence rpzb. 5/3876 Three letters picked without replacement from cnpppccqcqcnpccwn. Give prob of sequence cqp. 7/510 Two letters picked without replacement from mpzmpzpumppppmzm. Give prob of sequence mp. 7/48 Calculate prob of sequence rrhq when four letters picked without replacement from qerqheqrwrqhrqqe. 3/910 Two letters picked without replacement from wwnwnwwwwwwwwnnwww. What is prob of sequence ww? 91/153 Calculate prob of sequence pfp when three letters picked without replacement from spafjpspppfs. 1/33 What is prob of sequence bb when two letters picked without replacement from bbbbb? 1 Calculate prob of sequence ppgp when four letters picked without replacement from {p: 4, g: 6}. 1/35 Two letters picked without replacement from mnfnmqx. Give prob of sequence qn. 1/21 Calculate prob of sequence nc when two letters picked without replacement from {s: 1, x: 4, n: 1, b: 1, c: 1}. 1/56 Two letters picked without replacement from {v: 1, b: 1, o: 2, z: 1, f: 1, g: 2}. Give prob of sequence fz. 1/56 Two letters picked without replacement from xbfbvbmb. Give prob of sequence bf. 1/14 Two letters picked without replacement from {j: 4, v: 6, w: 1, p: 2}. What is prob of sequence pw? 1/78 Two letters picked without replacement from ddfhfihxdhhi. What is prob of sequence dd? 1/22 Calculate prob of sequence cznn when four letters picked without replacement from zcnnn. 1/20 Two letters picked without replacement from eeeeedeed. What is prob of sequence de? 7/36 Two letters picked without replacement from {i: 2, y: 1}. What is prob of sequence yi? 1/3 Two letters picked without replacement from vvvvvvvvv. Give prob of sequence vv. 1 Calculate prob of sequence zj when two letters picked without replacement from kbjzzjzjjk. 2/15 Two letters picked without replacement from dggdd. What is prob of sequence dd? 3/10 What is prob of sequence yby when three letters picked without replacement from yybby? 1/5 Four letters picked without replacement from ddnndnt. What is prob of sequence ntdn? 3/140 Two letters picked without replacement from geggeeg. What is prob of sequence ee? 1/7 Four letters picked without replacement from {z: 4}. What is prob of sequence zzzz? 1 Four letters picked without replacement from {p: 3, l: 3, j: 8, o: 1, q: 3}. What is prob of sequence lllp? 1/4080 Calculate prob of sequence ll when two letters picked without replacement from {a: 2, s: 1, l: 4, q: 3, o: 4, f: 1}. 2/35 Four letters picked without replacement from dppudpdodpdod. Give prob of sequence pdop. 6/715 What is prob of sequence nn when two letters picked without replacement from {s: 4, n: 7}? 21/55 Two letters picked without replacement from ffwfffww. What is prob of sequence ff? 5/14 Two letters picked without replacement from {z: 4, l: 2, i: 6}. Give prob of sequence zl. 2/33 Two letters picked without replacement from vmyynev. What is prob of sequence ev? 1/21 Three letters picked without replacement from {d: 2, o: 3, l: 10, f: 1, e: 1}. Give prob of sequence dfo. 1/680 What is prob of sequence rwf when three letters picked without replacement from {p: 2, w: 1, f: 1, r: 1}? 1/60 Calculate prob of sequence dug when three letters picked without replacement from ugud. 1/12 What is prob of sequence xyex when four letters picked without replacement from {x: 4, e: 8, y: 2}? 8/1001 What is prob of sequence cc when two letters picked without replacement from {a: 6, c: 2}? 1/28 Three letters picked without replacement from yoillgllqgilo. What is prob of sequence lgo? 5/429 Calculate prob of sequence vvcw when four letters picked without replacement from {c: 3, w: 3, r: 4, v: 4}. 9/2002 What is prob of sequence ev when two letters picked without replacement from {k: 1, a: 1, v: 2, e: 2, g: 1}? 2/21 Calculate prob of sequence wgk when three letters picked without replacement from kgkwgwwkw. 1/21 What is prob of sequence fm when two letters picked without replacement from mobofmfomfmom? 5/52 What is prob of sequence abaw when four letters picked without replacement from {w: 4, b: 4, a: 9}? 12/595 Four letters picked without replacement from {p: 5, f: 5, t: 1, q: 1}. Give prob of sequence ppff. 10/297 Three letters picked without replacement from {u: 2, p: 2}. What is prob of sequence upu? 1/6 Two letters picked without replacement from {d: 1, g: 2, p: 2}. What is prob of sequence dg? 1/10 What is prob of sequence ux when two letters picked without replacement from {y: 1, u: 2, x: 1}? 1/6 Calculate prob of sequence xxx when three letters picked without replacement from xxxxffxx. 5/14 Calculate prob of sequence xi when two letters picked without replacement from {i: 1, b: 1, t: 1, x: 1, u: 1}. 1/20 What is prob of sequence tww when three letters picked without replacement from {t: 1, w: 17}? 1/18 Calculate prob of sequence uuu when three letters picked without replacement from buuuuuuuuubuuuuubu. 455/816 Three letters picked without replacement from wvvyfvvpvyylv. What is prob of sequence lyw? 1/572 What is prob of sequence mqqm when four letters picked without replacement from mqqqqqmqqqqqq? 1/78 What is prob of sequence wlaw when four letters picked without replacement from {l: 1, o: 1, t: 5, a: 1, w: 3, k: 4}? 1/5460 Calculate prob of sequence tq when two letters picked without replacement from fmffmmqwttqwqt. 9/182 Three letters picked without replacement from {m: 1, w: 11}. Give prob of sequence wmw. 1/12 Two letters picked without replacement from {v: 3, d: 4}. What is prob of sequence dd? 2/7 Three letters picked without replacement from {m: 11, b: 1, z: 1}. Give prob of sequence mmz. 5/78 Calculate prob of sequence xix when three letters picked without replacement from {s: 1, x: 3, i: 1, e: 2, k: 10}. 1/680 What is prob of sequence chmo when four letters picked without replacement from mhhmhsohhohhcmhhhomm? 5/3876 Four letters picked without replacement from cccccjcjjcjccccjcjj. What is prob of sequence ccjj? 77/1292 Calculate prob of sequence kk when two letters picked without replacement from {a: 7, u: 1, k: 3, g: 1}. 1/22 Four letters picked without replacement from xjjfsffffffs. Give prob of sequence ffsx. 7/990 What is prob of sequence pj when two letters picked without replacement from {y: 1, j: 2, p: 2, w: 1}? 2/15 Four letters picked without replacement from {k: 5, d: 3}. Give prob of sequence dkdd. 1/56 Two letters picked without replacement from {p: 1, w: 1, y: 1}. What is prob of sequence pw? 1/6 Two letters picked without replacement from zgtzggttgzzxgzzzxzz. Give prob of sequence gz. 5/38 What is prob of sequence rm when two letters picked without replacement from nnnrlmlmlimnil? 3/182 What is prob of sequence fz when two letters picked without replacement from rzzzfzrzzzzzzzfrz? 3/34 What is prob of sequence appz when four letters picked without replacement from {q: 1, p: 2, a: 1, z: 4}? 1/210 Four letters picked without replacement from dkku. What is prob of sequence dddu? 0 Two letters picked without replacement from eliueeeupioeeee. Give prob of sequence uo. 1/105 Calculate prob of sequence aie when three letters picked without replacement from vavciniaiaiean. 2/273 Calculate prob of sequence dd when two letters picked without replacement from dddddddfdfdd. 15/22 Calculate prob of sequence zqq when three letters picked without replacement from {z: 1, a: 14, m: 2, q: 2}. 1/2907 Four letters picked without replacement from cxtjjdhjcchxdjdtjth. What is prob of sequence dxdd? 1/7752 Two letters picked without replacement from iissidccdiusisi. What is prob of sequence ds? 4/105 Two letters picked without replacement from elmmleblmloieloeo. What is prob of sequence om? 9/272 Calculate prob of s
{ "pile_set_name": "DM Mathematics" }
. What is prob of picking 3 e? 3/14 What is prob of picking 2 f when two letters picked without replacement from xgefxrrxxxxrrkxfr? 1/136 What is prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from vtvvvtg? 8/35 Calculate prob of picking 3 g when three letters picked without replacement from {d: 1, n: 5, w: 7, b: 3, g: 3}. 1/969 What is prob of picking 2 e when two letters picked without replacement from {a: 5, e: 9}? 36/91 What is prob of picking 2 t when two letters picked without replacement from bbbtbtbb? 1/28 What is prob of picking 1 t, 1 b, and 1 w when three letters picked without replacement from ttbotwo? 3/35 Two letters picked without replacement from {f: 2, i: 3, e: 1, b: 1, y: 1, v: 8}. What is prob of picking 2 f? 1/120 What is prob of picking 2 s when two letters picked without replacement from {s: 3, y: 7, e: 4}? 3/91 Calculate prob of picking 1 s, 1 c, and 1 x when three letters picked without replacement from pvxspdc. 1/35 What is prob of picking 4 h when four letters picked without replacement from {x: 12, h: 6}? 1/204 What is prob of picking 2 y and 1 g when three letters picked without replacement from yyyyyyygyyyyyyyyyyyy? 3/20 Three letters picked without replacement from {a: 1, h: 4, s: 2, j: 1, q: 2, b: 4}. What is prob of picking 2 s and 1 q? 1/182 What is prob of picking 2 o when two letters picked without replacement from buuobyzoa? 1/36 Calculate prob of picking 3 e when three letters picked without replacement from rrereerrrrr. 1/165 Two letters picked without replacement from tmuaaef. Give prob of picking 1 f and 1 m. 1/21 Two letters picked without replacement from {p: 2, w: 10}. Give prob of picking 1 p and 1 w. 10/33 Three letters picked without replacement from ghhgmhmkkhggg. What is prob of picking 2 k and 1 m? 1/143 Two letters picked without replacement from {r: 2, z: 5, s: 6}. What is prob of picking 1 r and 1 z? 5/39 What is prob of picking 1 m and 1 q when two letters picked without replacement from mvsvmvpmqq? 2/15 Four letters picked without replacement from {n: 6, e: 6, k: 4, l: 1, r: 1}. Give prob of picking 2 k, 1 l, and 1 r. 1/510 What is prob of picking 1 n and 1 c when two letters picked without replacement from nndnncdnnncncnnnccn? 20/57 Three letters picked without replacement from {q: 2, f: 6, w: 1, z: 2, t: 1, a: 5}. Give prob of picking 1 t, 1 a, and 1 w. 1/136 What is prob of picking 1 z and 3 s when four letters picked without replacement from {v: 3, s: 3, z: 1}? 1/35 Two letters picked without replacement from ahdhahhvnadz. What is prob of picking 2 d? 1/66 Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {t: 5, m: 13}. 65/136 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 1, r: 3, g: 1, e: 5, k: 2}. 1/22 Two letters picked without replacement from assssssssssssssssss. What is prob of picking 1 a and 1 s? 2/19 What is prob of picking 1 k and 1 d when two letters picked without replacement from {d: 6, b: 7, k: 1}? 6/91 What is prob of picking 1 h and 1 w when two letters picked without replacement from lshrwhhlhsws? 4/33 What is prob of picking 3 x and 1 g when four letters picked without replacement from {x: 3, g: 13}? 1/140 Four letters picked without replacement from {t: 1, k: 5, e: 2, p: 1, g: 5, d: 5}. Give prob of picking 2 g and 2 e. 5/1938 Calculate prob of picking 1 n, 1 r, and 1 o when three letters picked without replacement from {x: 2, v: 2, r: 2, o: 1, n: 5, f: 2}. 5/182 Four letters picked without replacement from {g: 8, e: 2, f: 2, j: 1, z: 2}. What is prob of picking 2 g and 2 f? 4/195 Three letters picked without replacement from lzll. Give prob of picking 3 l. 1/4 Three letters picked without replacement from hyyy. Give prob of picking 3 y. 1/4 Two letters picked without replacement from {r: 11, n: 2}. Give prob of picking 1 r and 1 n. 11/39 What is prob of picking 1 u and 1 z when two letters picked without replacement from {z: 2, r: 2, u: 6, j: 1}? 12/55 Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {m: 4, x: 3, e: 5}. 3/44 Two letters picked without replacement from niawa. What is prob of picking 1 a and 1 w? 1/5 Two letters picked without replacement from ffffff. Give prob of picking 2 f. 1 What is prob of picking 3 h when three letters picked without replacement from liiyhiiiyhihihiiiyii? 1/285 Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}. 1 Three letters picked without replacement from rrfzrzff. Give prob of picking 3 r. 1/56 What is prob of picking 2 v when two letters picked without replacement from {v: 3, n: 5}? 3/28 Three letters picked without replacement from oootoootoo. What is prob of picking 3 o? 7/15 What is prob of picking 2 b when two letters picked without replacement from {b: 3, k: 8}? 3/55 Calculate prob of picking 1 c, 1 h, and 1 q when three letters picked without replacement from yhqyyhcyyvycucv. 6/455 Calculate prob of picking 2 v when two letters picked without replacement from pvvvvvvvvvpvpvvpvvv. 35/57 Two letters picked without replacement from {n: 4, j: 2}. Give prob of picking 2 j. 1/15 Four letters picked without replacement from {o: 6, i: 2}. Give prob of picking 3 o and 1 i. 4/7 Two letters picked without replacement from ccwccwwwwc. Give prob of picking 1 c and 1 w. 5/9 Three letters picked without replacement from {l: 1, o: 5, g: 3}. Give prob of picking 3 o. 5/42 Two letters picked without replacement from gerieerrrgrr. What is prob of picking 2 g? 1/66 Three letters picked without replacement from {a: 2, w: 2, y: 3, c: 4, k: 2, d: 2}. What is prob of picking 1 a and 2 w? 2/455 What is prob of picking 3 x and 1 f when four letters picked without replacement from {w: 1, x: 4, u: 2, f: 1, d: 2}? 2/105 Two letters picked without replacement from {w: 9, k: 3, v: 3, q: 2}. Give prob of picking 1 k and 1 q. 3/68 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xjfjjjfjjxkjjfcqccj. 2/57 Two letters picked without replacement from {k: 7, q: 3, z: 1, j: 1, i: 1}. Give prob of picking 1 i and 1 q. 1/26 Calculate prob of picking 2 w and 2 g when four letters picked without replacement from {g: 4, w: 2, i: 2}. 3/35 Four letters picked without replacement from rxrphhprpppfppperxrx. What is prob of picking 1 x, 1 r, 1 h, and 1 f? 2/323 Three letters picked without replacement from {e: 7, m: 4, t: 3}. Give prob of picking 2 m and 1 t. 9/182 Calculate prob of picking 1 x, 1 d, and 2 l when four letters picked without replacement from {k: 6, d: 2, x: 1, l: 2}. 1/165 Calculate prob of picking 1 g and 1 b when two letters picked without replacement from hghbxmhbmxhhhm. 2/91 What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, x: 2, k: 8}? 8/91 What is prob of picking 1 q and 2 h when three letters picked without replacement from {q: 3, g: 4, h: 2}? 1/28 What is prob of picking 2 k and 1 g when three letters picked without replacement from kkkmmpppkmpgk? 5/143 What is prob of picking 1 a, 1 s, and 1 b when three letters picked without replacement from {s: 2, b: 7, a: 7, e: 2, y: 1}? 98/969 What is prob of picking 3 e when three letters picked without replacement from tttteeteeett? 1/22 Three letters picked without replacement from iilvmvvmlmvmimininii. Give prob of picking 1 i and 2 v. 7/190 Two letters picked without replacement from {i: 17, e: 1}. Give prob of picking 2 i. 8/9 Three letters picked without replacement from tffrf. Give prob of picking 1 r, 1 t, and 1 f. 3/10 Two letters picked without replacement from {n: 3, z: 1, x: 11, k: 2, d: 1}. Give prob of picking 1 d and 1 x. 11/153 Two letters picked without replacement from {h: 13, q: 6}. Give prob of picking 2 q. 5/57 What is prob of picking 1 t, 1 z, and 1 m when three letters picked without replacement from imiztmittmttiit? 18/455 Four letters picked without replacement from {z: 4, r: 4, s: 12}. What is prob of picking 2 z and 2 r? 12/1615 Three letters picked without replacement from tlnllrllsslsl. What is prob of picking 1 l, 1 r, and 1 n? 7/286 What is prob of picking 3 h and 1 x when four letters picked withou
{ "pile_set_name": "DM Mathematics" }
34 What is the f'th term of 148, 157, 166, 175, 184, 193? 9*f + 139 What is the q'th term of 265, 260, 253, 244, 233, 220? -q**2 - 2*q + 268 What is the f'th term of 16, 21, 32, 49, 72, 101, 136? 3*f**2 - 4*f + 17 What is the j'th term of 137, 1028, 3429, 8096, 15785, 27252, 43253, 64544? 126*j**3 - j**2 + 12*j What is the g'th term of 90, -8, -276, -798, -1658, -2940, -4728? -14*g**3 - g**2 + 3*g + 102 What is the b'th term of 9, 68, 173, 324, 521, 764? 23*b**2 - 10*b - 4 What is the n'th term of 9952, 9951, 9950, 9949? -n + 9953 What is the f'th term of 30, 32, 34? 2*f + 28 What is the h'th term of 1366, 1361, 1352, 1339, 1322? -2*h**2 + h + 1367 What is the f'th term of -8897, -8895, -8893, -8891, -8889? 2*f - 8899 What is the r'th term of -6, 11, 54, 135, 266, 459? 2*r**3 + r**2 - 9 What is the r'th term of 9693, 9691, 9689, 9687, 9685, 9683? -2*r + 9695 What is the i'th term of -99, -209, -323, -441, -563, -689? -2*i**2 - 104*i + 7 What is the m'th term of 227, 229, 233, 239, 247? m**2 - m + 227 What is the t'th term of -175, -347, -519, -691, -863? -172*t - 3 What is the w'th term of 167, 334, 501, 668, 835, 1002? 167*w What is the o'th term of 121, 138, 155, 172, 189? 17*o + 104 What is the b'th term of -206, -843, -1896, -3359, -5226, -7491, -10148, -13191? b**3 - 214*b**2 - 2*b + 9 What is the c'th term of 5, -30, -127, -316, -627, -1090, -1735? -5*c**3 - c**2 + 3*c + 8 What is the d'th term of -7, -3, 1, 5? 4*d - 11 What is the c'th term of -255, -252, -247, -240, -231? c**2 - 256 What is the z'th term of 15, 11, 5, -3, -13, -25, -39? -z**2 - z + 17 What is the o'th term of 131, 144, 161, 188, 231, 296, 389? o**3 - 4*o**2 + 18*o + 116 What is the v'th term of -1419, -5696, -12831, -22830, -35699? -v**3 - 1423*v**2 - v + 6 What is the z'th term of -93, -96, -91, -78? 4*z**2 - 15*z - 82 What is the z'th term of -937, -940, -945, -952, -961, -972, -985? -z**2 - 936 What is the s'th term of 67, -13, -147, -335? -27*s**2 + s + 93 What is the p'th term of 47, 84, 121, 158? 37*p + 10 What is the q'th term of -305, -601, -893, -1181, -1465, -1745? 2*q**2 - 302*q - 5 What is the c'th term of -113, -176, -187, -146? 26*c**2 - 141*c + 2 What is the i'th term of 4278, 4276, 4274, 4272, 4270, 4268? -2*i + 4280 What is the g'th term of 16, 0, -20, -44, -72, -104? -2*g**2 - 10*g + 28 What is the q'th term of 897, 882, 847, 786, 693, 562, 387, 162? -q**3 - 4*q**2 + 4*q + 898 What is the k'th term of 77, 43, -13, -91, -191? -11*k**2 - k + 89 What is the g'th term of -488, -479, -456, -413, -344, -243? g**3 + g**2 - g - 489 What is the u'th term of 29, 124, 281, 500, 781? 31*u**2 + 2*u - 4 What is the a'th term of -6049, -6051, -6053, -6055? -2*a - 6047 What is the v'th term of -7, 1, 9, 17, 25, 33? 8*v - 15 What is the s'th term of -8, -35, -62? -27*s + 19 What is the u'th term of -2, -1, 0, 1, 2? u - 3 What is the d'th term of -834, -1688, -2546, -3408, -4274, -5144? -2*d**2 - 848*d + 16 What is the p'th term of -28, -34, -40, -46, -52? -6*p - 22 What is the g'th term of 1884, 1887, 1892, 1899, 1908, 1919? g**2 + 1883 What is the y'th term of 1163, 1178, 1207, 1256, 1331? y**3 + y**2 + 5*y + 1156 What is the z'th term of -785, -781, -777, -773, -769? 4*z - 789 What is the l'th term of -373, -375, -377, -379, -381? -2*l - 371 What is the k'th term of -390, -780, -1170, -1560, -1950? -390*k What is the p'th term of -17, -28, -51, -92, -157, -252? -p**3 - 4*p - 12 What is the y'th term of -1, 14, 47, 104, 191? y**3 + 3*y**2 - y - 4 What is the f'th term of -78, -80, -82? -2*f - 76 What is the b'th term of 8499, 8498, 8497, 8496? -b + 8500 What is the g'th term of -159, -323, -487, -651, -815, -979? -164*g + 5 What is the w'th term of 140, 261, 398, 557, 744? w**3 + 2*w**2 + 108*w + 29 What is the r'th term of -16, -34, -52, -70? -18*r + 2 What is the y'th term of -17, -39, -63, -89, -117? -y**2 - 19*y + 3 What is the j'th term of 12, 8, -8, -42, -100, -188, -312, -478? -j**3 + 3*j + 10 What is the x'th term of 24, 43, 70, 111, 172, 259? x**3 - 2*x**2 + 18*x + 7 What is the j'th term of -549, -1098, -1647, -2196? -549*j What is the i'th term of -42, -73, -114, -171, -250, -357? -i**3 + i**2 - 27*i - 15 What is the u'th term of 5512, 11028, 16544? 5516*u - 4 What is the m'th term of -17, -134, -453, -1076, -2105, -3642? -17*m**3 + m**2 - m What is the y'th term of 1, -27, -81, -161? -13*y**2 + 11*y + 3 What is the x'th term of 10, 39, 116, 265, 510? 4*x**3 + x + 5 What is the i'th term of -15, 0, 73, 234, 513? 5*i**3 - i**2 - 17*i - 2 What is the t'th term of -84, -89, -94? -5*t - 79 What is the q'th term of 22, 94, 296, 694, 1354, 2342, 3724? 11*q**3 - q**2 - 2*q + 14 What is the y'th term of -22, -11, 36, 137, 310, 573, 944, 1441? 3*y**3 - 10*y - 15 What is the y'th term of 5531, 5534, 5537, 5540, 5543? 3*y + 5528 What is the a'th term of -86575, -86576, -86577? -a - 86574 What is the o'th term of -211, -832, -1863, -3304? -205*o**2 - 6*o What is the u'th term of 10, -23, -70, -137, -230, -355, -518? -u**3 - u**2 - 23*u + 35 What is the k'th term of 0, 9, 28, 63, 120? k**3 - k**2 + 5*k - 5 What is the c'th term of 4502, 9008, 13514, 18020, 22526? 4506*c - 4 What is the s'th term of 507, 530, 551, 570? -s**2 + 26*s + 482 What is the y'th term of 1730, 1719, 1694, 1649, 1578, 1475, 1334, 1149? -y**3 - y**2 - y + 1733 What is the j'th term of 27, 41, 59, 81, 107? 2*j**2 + 8*j + 17 What is the i'th term of -516, -1026, -1536? -510*i - 6 What is the i'th term of 1895, 3801, 5707? 1906*i - 11 What is the l'th term of -64, -179, -370, -637, -980, -1399? -38*l**2 - l - 25 What is the x'th term of 22, 125, 408, 961, 1874, 3237? 15*x**3 - 2*x + 9 What is the i'th term of -79, -69, -47, -7, 57? i**3 + 3*i - 83 What is the g'th term of -1073, -1028, -947, -824, -653, -428, -143? g**3 + 12*g**2 + 2*g - 1088 What is the y'th term of -13, -84, -283, -676, -1329? -11*y**3 + 2*y**2 - 4 What is the v'th term of -30, -42, -42, -24, 18, 90, 198, 348? v**3 - 19*v - 12 What is the g'th term of 181, 184, 189, 196, 205, 216, 229? g**2 + 180 What is the m'th term of -21, -20, 5, 72, 199, 404, 705? 3*m**3 - 6*m**2 - 2*m - 16 What is the n'th term of 39, 76, 159, 306, 535? 3*n**3 + 5*n**2 + n + 30 What is the q'th term of 10, 73, 242, 571, 1114, 1925, 3058, 4567? 9*q**3 - q**2 + 3*q - 1 What is the j'th term of -28, -101, -216, -367, -548, -753, -976, -1211? j**3 - 27*j**2 + j - 3 What is the a'th term of -609, -610, -611? -a - 608 What is the m'th term of 12, 8, -6, -36, -88, -168? -m**3 + m**2 + 12 What is the w'th term of 33, 91, 149, 207? 58*w - 25 What is the c'th term of -393, -389, -375, -345, -293, -213? c**3 - c**2 - 393 What is the l'th term of -369, -335, -303, -273, -245, -219? -l**2 + 37*l - 405 What is the x'th term of 8, -3, -34, -97, -204, -367, -598, -909? -2*x**3 + 2*x**2 - 3*x + 11 What is the f'th term of 109, 422, 945, 1678, 2621? 105*f**2 - 2*f + 6 What is the d'th term of 1636, 1641, 1644, 1639, 1620? -d**3 + 5*d**2 - 3*d + 1635 What is the t'th term of 572, 573, 574? t + 571 What is the d'th term of 423, 422, 421, 420? -d + 424 What is the r'th term of -6, -2, 2? 4*r - 10 What is the w'th term of 16, 56, 142, 286, 500, 796? 2*w**3 + 11*w**2 - 7*w + 10 What is the p'th term of -9, -10, -11? -p - 8 What is the f'th term of 65, 125, 185, 245? 60*f + 5 What is the y'th term of -185, -361, -537? -176*y - 9 What is the n'th term of 73, 144, 215, 286, 357, 428? 71*n + 2 What is the f'th term of 36, 48, 70, 102, 144? 5*f**2 - 3*f + 34 What is the p'th term of -75, -112, -147, -180, -211? p**2 - 40*p - 36 What is the x'th term of 6, 23, 46, 75, 110, 151? 3*x**2 + 8*x - 5 What is the m'th term of 99, 85, 69, 51? -m**2 - 11*m + 111 What is the t'th term of 52, 34, 14, -8, -32? -t**2 - 15*t + 68 What is the s'th term of 3541, 3540, 3539? -s + 3542 What is the k'th term of 12, 28, 64, 132, 244, 412, 648? 2*k**3 - 2*k**2 + 8*k + 4 What is the m'th term of -31, -61, -93, -127, -163, -201? -m**2 - 27*m - 3 What is the z'th term of -445, -884, -1323? -439*z - 6 What is the h'th term of 74, 83, 94, 107, 122, 139? h**2 + 6*h + 67 What is the y'th term of -5, -5, -1, 7? 2*y**2 - 6*y - 1 What is the j'th term of 183, 150, 115, 78, 39, -2, -45? -j**2 - 30*j + 214 What is
{ "pile_set_name": "DM Mathematics" }
*sqrt(7) + 2809 Simplify -3 + (sqrt(133)/(sqrt(567)*-4) + 3)**2 + 1. -sqrt(19)/6 + 9091/1296 Simplify (1 + sqrt(637) + (sqrt(637) - -6*(1 + sqrt(637))))**2 - (4 + 3 + (sqrt(637) - (0 + sqrt(637))))**2. 784*sqrt(13) + 40768 Simplify (2 + 3*(sqrt(500) + -1)*2)**2. -480*sqrt(5) + 18016 Simplify (sqrt(66)/(sqrt(6) + sqrt(6)*2 + sqrt(6) + sqrt(6) - sqrt(6)) + sqrt(11))*4 - ((sqrt(22) - (sqrt(22) - sqrt(352))*3)/sqrt(2))**2. -1100 + 5*sqrt(11) Simplify 5*((((sqrt(21)*1)/sqrt(3) - (-4 + -1*sqrt(7))) + -3)**2 + -1). 20*sqrt(7) + 140 Simplify 6*(sqrt(11) + sqrt(110)/sqrt(10) + -3 + sqrt(44)/sqrt(4)*5). -18 + 42*sqrt(11) Simplify (2 + ((2*sqrt(891) - sqrt(891)) + 0 - sqrt(891)*1*-2) + 5)**2. 378*sqrt(11) + 8068 Simplify ((sqrt(21)/sqrt(3) + -2 - (sqrt(7) - (sqrt(7) - ((sqrt(70) - sqrt(70)*3) + sqrt(70))/sqrt(10))))**2 + -1 + 5)*-5. -180 + 40*sqrt(7) Simplify -2 + (sqrt(847)*1 + -2)**2 + (-5 + -2*sqrt(847))**2. 176*sqrt(7) + 4262 Simplify sqrt(198)/sqrt(2) - (2 + sqrt(44)) - ((sqrt(77) - (sqrt(77) - 2*-1*sqrt(77))) + sqrt(77) + sqrt(77))/sqrt(7). -2 + sqrt(11) Simplify (4*sqrt(17) + 5)*4 - sqrt(34)/(sqrt(2) - sqrt(8)/(sqrt(4)*-6)). 20 + 106*sqrt(17)/7 Simplify 3*((2 + sqrt(304))**2 - (sqrt(95)/sqrt(45))**2)*4. 192*sqrt(19) + 11012/3 Simplify (-1 + 4*((sqrt(68) + 2)*-3 + (-1 + sqrt(68)*1 + sqrt(68) - sqrt(68))))**2. 928*sqrt(17) + 5193 Simplify -2 + 6*(2 + sqrt(272))**2*-2 + -3. -3317 - 192*sqrt(17) Simplify ((-1*sqrt(550))/(sqrt(98)*1))**2. 275/49 Simplify (-1 + sqrt(304) + 0 + -4 + 0 + sqrt(304) + sqrt(304))**2 + 5 + ((sqrt(304) + sqrt(304) + -1 + -3 + sqrt(304))**2 + sqrt(304) - sqrt(304)). -216*sqrt(19) + 5518 Simplify -3*(2 + -2*(sqrt(2736) - (sqrt(2736) + (sqrt(2736) + -2 - sqrt(2736)) + -1 - sqrt(2736))))**2*-6. 3456*sqrt(19) + 197280 Simplify ((sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) + 2*sqrt(104)))) - sqrt(104))*-5 + sqrt(104) - sqrt(104)*-1*3)/(-3*(-2*3*sqrt(8) + sqrt(8))). -sqrt(13)/15 Simplify (4*-2*(sqrt(76) - (3*sqrt(76) + -3))*3)**2*6. -82944*sqrt(19) + 1081728 Simplify (6*(1 + sqrt(272))*1 + 5*sqrt(272)*1 + -4 + (sqrt(272) - (sqrt(272) - (0 + sqrt(272)))) + sqrt(272) + sqrt(272))**2. 224*sqrt(17) + 53316 Simplify (sqrt(114) - 2*sqrt(114)*5)/(sqrt(24)*-3 + sqrt(24) + sqrt(6) + sqrt(6)). 9*sqrt(19)/2 Simplify 3*((sqrt(72) + -1 + -2)*-5)**2. -2700*sqrt(2) + 6075 Simplify ((6*(sqrt(143) + (-1*sqrt(143) - sqrt(143))) + sqrt(143))*4)/((sqrt(1331) - (sqrt(1331) - sqrt(1331)*-1)*2) + sqrt(1331)). 10*sqrt(13)/11 Simplify (-1*sqrt(130)*-3 - 1*sqrt(130)*-4)/(6*(sqrt(10) + sqrt(20)/sqrt(2)*6)). sqrt(13)/6 Simplify (((sqrt(416)*-1 + sqrt(416))*-2)/(sqrt(18)/(sqrt(9)*1) + sqrt(800)))**2. 0 Simplify (sqrt(2736) + 3 + sqrt(2736) + 5 - (sqrt(2736)*-1 + -3))**2 + -3. 792*sqrt(19) + 24742 Simplify (1*(sqrt(117)*2 - sqrt(117))*-3)/(2*sqrt(1296) + (sqrt(225) + 2*sqrt(225) - sqrt(9))). -3*sqrt(13)/38 Simplify (1*(-1 + sqrt(17)) - 3*(sqrt(17) - sqrt(272))**2) + (sqrt(170)/(sqrt(5)*-1) + sqrt(34))/(sqrt(288) + (sqrt(288) - (sqrt(288) - sqrt(288)*1))). -460 + sqrt(17) Simplify (-1 + -3*sqrt(275) + (4 + 3*sqrt(275) - sqrt(275)) + -1)**2. -20*sqrt(11) + 279 Simplify (1 + sqrt(637))*-2 + sqrt(156)/(sqrt(12) + sqrt(1728)). -181*sqrt(13)/13 - 2 Simplify -5 + ((2*1*sqrt(11) - -1*sqrt(891))**2 - sqrt(176)/sqrt(4)*5). -10*sqrt(11) + 1326 Simplify (-4*(sqrt(2) + (sqrt(2) - sqrt(96)/sqrt(3) - sqrt(2) - sqrt(2))) + sqrt(36)/sqrt(2) + sqrt(242) + 1)**2. 60*sqrt(2) + 1801 Simplify -5 + (sqrt(209)*1*5)/(sqrt(44)/sqrt(144)). -5 + 30*sqrt(19) Simplify ((sqrt(360) + sqrt(360)*1)/sqrt(12) - sqrt(300)/sqrt(90))/(sqrt(30)/(sqrt(5)*-2) + (sqrt(6) - 6*sqrt(54))) + 1. -2*sqrt(5)/21 + 1 Simplify 6*(1*sqrt(304) - sqrt(304))**2 - ((sqrt(304) - sqrt(304)*-3)**2 + -4). -4860 Simplify (-3*(sqrt(3)*1 + 0) - (sqrt(147) - (sqrt(147)*-1 + -5)))**2. 170*sqrt(3) + 892 Simplify (-4*sqrt(3146))/(-4*sqrt(72) - sqrt(72)). 22*sqrt(13)/15 Simplify ((5*(sqrt(209) - 2*sqrt(209)) - (sqrt(209) + sqrt(209) + (sqrt(209) + sqrt(209)*2)*-1))/(sqrt(77)/(-6*sqrt(112))))**2. 175104 Simplify (1 + (3*(sqrt(175) + -1 - sqrt(175)) - sqrt(175)) + sqrt(175) + ((sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175) + -3))) + 2 - sqrt(175)))**2. -30*sqrt(7) + 184 Simplify -4 + ((sqrt(11) + -3 + sqrt(11)*1)**2*3 - ((-2*sqrt(88))/sqrt(8) + (sqrt(11) + -1)*2)). -36*sqrt(11) + 157 Simplify (3*sqrt(99)*-4)/(-4*sqrt(9)*-2). -3*sqrt(11)/2 Simplify ((sqrt(48) - sqrt(480)/(sqrt(40) + sqrt(10)))/sqrt(3))/(sqrt(48)/(sqrt(6)*3*4)). 8*sqrt(2) Simplify ((2*(-3*sqrt(121) + sqrt(121)))/sqrt(11) + sqrt(121)/(sqrt(704) - sqrt(704)*3))**2. 46475/256 Simplify 5*sqrt(14)/sqrt(2)*5 + (3*-1*sqrt(77) - sqrt(77))/sqrt(11). 21*sqrt(7) Simplify -1*(-2*(1 + sqrt(117))*6)**2*-6 + -4. 5184*sqrt(13) + 101948 Simplify (1 + -1 + -3 + (sqrt(1300) - (0 + sqrt(1300) + sqrt(1300))) + 1)**2. 40*sqrt(13) + 1304 Simplify 5*-5*(-5 + sqrt(2)*-1*-5 + sqrt(10)/(sqrt(5)*2 + sqrt(5)))**2. -18425/9 + 4000*sqrt(2)/3 Simplify (sqrt(252)*2*2)**2 - (sqrt(21)/sqrt(3) + -2)**2*-1. -4*sqrt(7) + 4043 Simplify (-1 + 6*(3*sqrt(475) + 5 - sqrt(475)))**2. 3480*sqrt(19) + 69241 Simplify (5 + (3*(sqrt(200) + 1) - ((3*(sqrt(200) + (sqrt(200) - (sqrt(200) + 1))) + sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))))**2. 121 Simplify 5*((sqrt(176) + 3 - sqrt(176) - sqrt(176))**2*3 + 4)*5. -1800*sqrt(11) + 13975 Simplify -5 + (sqrt(425) - -4*sqrt(425)*2) + (sqrt(425) + (-1*sqrt(425) - sqrt(425)))**2*1 + 4 + 2. 45*sqrt(17) + 426 Simplify (sqrt(105)/(sqrt(7)*-5))/(sqrt(10)/sqrt(32)). -4*sqrt(3)/5 Simplify (0 + sqrt(2) + 4 + sqrt(2))*-6 - (-2 + sqrt(2) + sqrt(18)/(sqrt(9)*-2)). -22 - 25*sqrt(2)/2 Simplify ((sqrt(99) - sqrt(99)*-1) + 0 + -3 + (-5*(sqrt(99) + 1) - 4*-2*sqrt(99)))**2. -240*sqrt(11) + 2539 Simplify (sqrt(130)/(sqrt(245) - (sqrt(245) + 1*sqrt(245) + sqrt(245))))/((sqrt(16)/(sqrt(8)*2) - sqrt(2))*3). sqrt(13)/21 Simplify -2 + ((1 + sqrt(45))*5 - (((sqrt(270) + sqrt(270)*2 + sqrt(270))/sqrt(6))**2 - sqrt(45))). -717 + 18*sqrt(5) Simplify 4 + -1 + sqrt(7) + sqrt(7) + 1 + (-1 + (sqrt(1008)*-1 - sqrt(7)))**2. 28*sqrt(7) + 1188 Simplify (((sqrt(143) - (sqrt(143)*-1*-2 - sqrt(143))) + sqrt(143)*-1*4)/(sqrt(1584)*-2*-1))**2. 13/36 Simplify (4*2*sqrt(700))/(sqrt(40)/(sqrt(160)*2)). 320*sqrt(7) Simplify (((-2*sqrt(154))/sqrt(11) + sqrt(14) + sqrt(28)/sqrt(2)*1)/(2*sqrt(288)))**2. 0 Simplify -4 + -6*(3*sqrt(208) - sqrt(91)/sqrt(175))*-6. -4 + 2124*sqrt(13)/5 Simplify ((sqrt(36)/(sqrt(6)/sqrt(3)) - sqrt(90)/sqrt(20))/(-6*-1*sqrt(9)*3))**2. 1/648 Simplify 0 + 0 + sqrt(102)/(sqrt(384)*2 + sqrt(6)). sqrt(17)/17 Simplify (sqrt(91) - (sqrt(91) + ((-1*sqrt(91) - sqrt(91)) + sqrt(91))*2) - -2*sqrt(91)*2)/(5*(sqrt(343)*-5 - sqrt(343))). -sqrt(13)/35 Simplify (sqrt(252)*-3)/(sqrt(576)*-4)*-2. -3*sqrt(7)/8 Simplify -3 + (sqrt(57) - 1*sqrt(228))/(sqrt(96)/sqrt(2)). -3 - sqrt(19)/4 Simplify -5 + (-6*(sqrt(72)*3 + sqrt(72)))**2*2. 82939 Simplify ((-3*(sqrt(208) + 1))**2 - ((sqrt(208) - (sqrt(208)*1)**2) + -2))*-3 + 1. -6272 - 204*sqrt(13) Simplify (1*sqrt(114)*-2 + sqrt(114))/((sqrt(48)*-1)/sqrt(8))*3. 3*sqrt(19) Simplify ((sqrt(832) + sqrt(832)*1)*2 + sqrt(832) - (1 + 0 + sqrt(832) + sqrt(832)) - 2*(0 + sqrt(832))*6)**2. 144*sqrt(13) + 67393 Simplify -2*(3 + (-2 + sqrt(425))**2) + ((-1 + sqrt(425))**2 + -2 - (sqrt(425)*1 + -4)). -436 + 25*sqrt(17) Simplify -3*(-5 + (sqrt(612) - 4*(sqrt(612) - (sqrt(612) - 4*sqrt(612))))). 15 + 270*sqrt(17) Simplify 2 + -3 + (2 + (sqrt(162) - (1 + sqrt(162) - sqrt(162))) - ((5 + 0 + sqrt(162) + sqrt(162))**2 + sqrt(162))) + 2. -671 - 180*sqrt(2) Simplify ((sqrt(13) + 0 - sqrt(13)) + -2 + sqrt(13) + (sqrt(143)*-1)/sqrt(11))*-5 + 4. 14 Simplify (2*(sqrt(102) - sqrt(102)*-1))/(1*(sqrt(6) - sqrt(216))) + -2. -4*sqrt(17)/5 - 2 Simplify ((sqrt(95) + 1*sqrt(95) + sqrt(95))*-2*3)/(1*(sqrt(5) - (sqrt(15)/sqrt(3) - sqrt(5)))*-6). 3*sqrt(19) Simplify -4*(2*(sqrt(187)*-4)/sqrt(11) + sqrt(170)/(sqrt(40)*-1)). 34*sqrt(17) Simplify (sqrt(495)/(-2*sqrt(576)))/((sqrt(5)*1 + sqrt(5))*3 - (-2*sqrt(180) + sqrt(180))). -sqrt(11)/192 Simplify 2*(6*(sqrt(612) + 1)*2 + -1*(-3*(0 + sqrt(612)))**2). -10992 + 144*sqrt(17) Simplify (6*sqrt(5)*1 + sqrt(55)/(sqrt(33)/sqrt(3)) - ((sqrt(5) - sqrt(10)/sqrt(32)) + sqrt(720)*-2))**2. 73205/16 Simplify -4 + ((1*sqrt(108) + sqrt(108) + 4 - 4*(sqrt(10
{ "pile_set_name": "DM Mathematics" }
he ten thousands digit of 662679? 6 What is the ten thousands digit of 544114? 4 What is the ten thousands digit of 18438959? 3 What is the hundreds digit of 3490098? 0 What is the ten thousands digit of 1163847? 6 What is the ten thousands digit of 1298686? 9 What is the ten thousands digit of 128696? 2 What is the tens digit of 974144? 4 What is the tens digit of 885371? 7 What is the units digit of 206772? 2 What is the hundreds digit of 1406847? 8 What is the tens digit of 1591320? 2 What is the tens digit of 1272444? 4 What is the ten thousands digit of 332457? 3 What is the tens digit of 1971349? 4 What is the hundreds digit of 7777638? 6 What is the units digit of 110601? 1 What is the hundreds digit of 932375? 3 What is the hundreds digit of 40268? 2 What is the hundreds digit of 521245? 2 What is the hundred thousands digit of 1111893? 1 What is the hundreds digit of 7014453? 4 What is the millions digit of 1138313? 1 What is the ten thousands digit of 460216? 6 What is the ten thousands digit of 2440586? 4 What is the hundred thousands digit of 14229341? 2 What is the ten thousands digit of 5689879? 8 What is the thousands digit of 416287? 6 What is the units digit of 1340187? 7 What is the units digit of 4180011? 1 What is the ten thousands digit of 12023110? 2 What is the millions digit of 4942630? 4 What is the thousands digit of 6436538? 6 What is the hundreds digit of 35888825? 8 What is the hundred thousands digit of 186627? 1 What is the millions digit of 15948629? 5 What is the ten thousands digit of 70111? 7 What is the thousands digit of 4720665? 0 What is the tens digit of 339259? 5 What is the ten thousands digit of 1392823? 9 What is the hundreds digit of 3653092? 0 What is the hundreds digit of 951845? 8 What is the hundreds digit of 87262? 2 What is the tens digit of 1389119? 1 What is the tens digit of 133628? 2 What is the millions digit of 1996852? 1 What is the millions digit of 11913843? 1 What is the ten thousands digit of 21458? 2 What is the units digit of 206898? 8 What is the tens digit of 316705? 0 What is the ten thousands digit of 6494073? 9 What is the ten millions digit of 22054478? 2 What is the hundred thousands digit of 236659? 2 What is the hundred thousands digit of 1701576? 7 What is the millions digit of 3496524? 3 What is the ten thousands digit of 91247? 9 What is the ten thousands digit of 2074782? 7 What is the hundred thousands digit of 176137? 1 What is the tens digit of 5987840? 4 What is the tens digit of 238805? 0 What is the ten thousands digit of 14256092? 5 What is the thousands digit of 53384? 3 What is the hundred thousands digit of 3960776? 9 What is the hundred thousands digit of 5055196? 0 What is the tens digit of 6894616? 1 What is the units digit of 11871555? 5 What is the thousands digit of 13391? 3 What is the hundred thousands digit of 393825? 3 What is the hundreds digit of 94711? 7 What is the hundreds digit of 1310121? 1 What is the ten thousands digit of 188152? 8 What is the tens digit of 26186178? 7 What is the hundred thousands digit of 438638? 4 What is the ten thousands digit of 10935490? 3 What is the ten thousands digit of 1584386? 8 What is the hundred thousands digit of 10898115? 8 What is the millions digit of 13987919? 3 What is the hundred thousands digit of 216672? 2 What is the tens digit of 2272477? 7 What is the millions digit of 1607607? 1 What is the thousands digit of 85365? 5 What is the hundreds digit of 633937? 9 What is the tens digit of 28499619? 1 What is the ten thousands digit of 7606608? 0 What is the ten thousands digit of 169472? 6 What is the units digit of 4103706? 6 What is the hundreds digit of 1691792? 7 What is the hundreds digit of 2317135? 1 What is the ten thousands digit of 887222? 8 What is the tens digit of 15146681? 8 What is the hundred thousands digit of 386515? 3 What is the ten thousands digit of 1082327? 8 What is the millions digit of 1236374? 1 What is the units digit of 2164165? 5 What is the units digit of 59707? 7 What is the thousands digit of 1057113? 7 What is the ten thousands digit of 461685? 6 What is the tens digit of 19556449? 4 What is the hundreds digit of 237297? 2 What is the units digit of 782811? 1 What is the hundreds digit of 2764600? 6 What is the units digit of 134269? 9 What is the ten thousands digit of 450145? 5 What is the hundreds digit of 704812? 8 What is the hundred thousands digit of 355262? 3 What is the hundreds digit of 350902? 9 What is the hundred thousands digit of 517720? 5 What is the thousands digit of 212717? 2 What is the thousands digit of 1568926? 8 What is the tens digit of 987516? 1 What is the ten thousands digit of 2050614? 5 What is the tens digit of 89359? 5 What is the hundred thousands digit of 7055137? 0 What is the ten thousands digit of 110319? 1 What is the tens digit of 35474989? 8 What is the ten millions digit of 18748781? 1 What is the hundred thousands digit of 11736646? 7 What is the hundreds digit of 412332? 3 What is the units digit of 922595? 5 What is the tens digit of 1767395? 9 What is the hundreds digit of 385362? 3 What is the thousands digit of 427829? 7 What is the millions digit of 3328309? 3 What is the units digit of 3864311? 1 What is the thousands digit of 2671065? 1 What is the units digit of 7519619? 9 What is the hundreds digit of 9977378? 3 What is the units digit of 523013? 3 What is the ten millions digit of 19920164? 1 What is the ten thousands digit of 3952796? 5 What is the hundreds digit of 263336? 3 What is the tens digit of 42420299? 9 What is the ten thousands digit of 24633664? 3 What is the hundreds digit of 488197? 1 What is the hundred thousands digit of 2717234? 7 What is the units digit of 93025? 5 What is the hundreds digit of 962544? 5 What is the hundred thousands digit of 114917? 1 What is the hundred thousands digit of 292381? 2 What is the units digit of 242864? 4 What is the thousands digit of 3047756? 7 What is the hundreds digit of 167160? 1 What is the thousands digit of 274639? 4 What is the tens digit of 5077593? 9 What is the tens digit of 125095? 9 What is the ten thousands digit of 1992551? 9 What is the thousands digit of 782433? 2 What is the hundreds digit of 5635338? 3 What is the tens digit of 64948? 4 What is the hundred thousands digit of 9285752? 2 What is the hundred thousands digit of 185914? 1 What is the thousands digit of 699350? 9 What is the units digit of 1412177? 7 What is the units digit of 2987889? 9 What is the ten thousands digit of 10333956? 3 What is the tens digit of 724460? 6 What is the tens digit of 116334? 3 What is the hundred thousands digit of 28592657? 5 What is the units digit of 441678? 8 What is the hundred thousands digit of 152865? 1 What is the tens digit of 3535775? 7 What is the tens digit of 246138? 3 What is the hundreds digit of 32610? 6 What is the thousands digit of 3764813? 4 What is the units digit of 226877? 7 What is the hundred thousands digit of 130098? 1 What is the units digit of 33842? 2 What is the thousands digit of 38091417? 1 What is the tens digit of 253028? 2 What is the hundreds digit of 166176? 1 What is the hundred thousands digit of 235374? 2 What is the hundred thousands digit of 763329? 7 What is the thousands digit of 1051003? 1 What is the thousands digit of 2667880? 7 What is the ten thousands digit of 977693? 7 What is the millions digit of 35902953? 5 What is the ten thousands digit of 241979? 4 What is the ten thousands digit of 5708255? 0 What is the ten thousands digit of 216351? 1 What is the tens digit of 1518713? 1 What is the hundreds digit of 1493125? 1 What is the units digit of 12602008? 8 What is the tens digit of 416273? 7 What is the hundreds digit of 546724? 7 What is the thousands digit of 285502? 5 What is the hundreds digit of 5096? 0 What is the hundreds digit of 5124988? 9 What is the units digit of 5161591? 1 What is the hundred thousands digit of 3122192? 1 What is the hundred thousands digit of 1347630? 3 What is the hundreds digit of 238366? 3 What is the millions digit of 1308429? 1 What is the units digit of 150227? 7 What is the tens digit of 92488? 8 What is the ten thousands digit of 3620069? 2 What is the thous
{ "pile_set_name": "DM Mathematics" }
98)? -1/2 What is ((-20)/(-6))/(1*(27/9)/(-18))? -20 Evaluate ((-9)/(-285))/(((-46)/(-230))/((-2)/2)). -3/19 What is the value of (-6)/(-21)*((-13230)/(-585))/(-42)? -2/13 Calculate 1/14*-3*(-23)/(460/35). 3/8 What is the value of (16/24)/(((30/(-12))/(-5))/(-3))? -4 What is the value of 168/189*(-180)/(-40)? 4 What is the value of (24576/72)/32*3/(-10)? -16/5 Evaluate (-5110)/(-37814)*2/10*(-2)/(-2). 1/37 What is (-7)/((-490)/(-20))*-28*(-2)/320? -1/20 What is the value of (-18)/(-2)*(-598)/(-897)? 6 What is 2/(12/2)*-14*4/84? -2/9 What is (-84)/(-147)*(-1)/((-4)/14)? 2 Evaluate (6/(-21))/(-11*28/2156). 2 (-2061)/(-17175)*10/6*(-3)/(-2) 3/10 What is the value of (-1)/((9/45)/((-56)/105))*-3? -8 Evaluate -2*3*(-88)/66. 8 What is the value of ((147/42)/((-14)/2))/(1/2)? -1 (-3)/(-9)*-3*13/((-169)/(-247)) -19 What is (-6)/4*(32/(-6))/((-470)/1645)? -28 ((-24)/9)/((-27)/((-1134)/56)) -2 What is (-38)/(-475)*(-30)/36*1? -1/15 Calculate 2*(363/(-2))/33. -11 Evaluate (24/(-112)*(-8)/(-12))/(30/35). -1/6 Calculate (14/(-35))/((-72)/(-270))*(-2)/(-10). -3/10 (16/16)/(((-56)/7)/32*-2) 2 What is the value of ((76/(-171))/((-12)/(-18)))/(5/(-255))? 34 Calculate (-28)/(-49)*(-27195)/(-444). 35 Calculate (4/(-7))/(5206/(-959)). 2/19 Evaluate 1296/504*(-2)/(-18). 2/7 26/4*299/(-3887) -1/2 What is ((-16)/(-4))/((-70)/(-28)*(-2)/(-10))? 8 What is ((-18)/4)/1*(-220)/1155? 6/7 What is the value of 2/(-1)*(326/(-2119))/(4/(-169))? -13 Calculate ((-28)/(-48)*6)/((-1)/((-1)/3)). 7/6 Evaluate 21/(-6)*3/(27*15/(-90)). 7/3 Calculate (53/(-53))/(121/11). -1/11 Calculate 24/124*(-72)/216. -2/31 (-120)/(-700)*20/(-8) -3/7 ((-70)/210)/(2/(-370)*-5) -37/3 Calculate 5*(((-14)/3)/(-7))/(60/18). 1 What is (-1)/(2/(144/18))? -4 What is the value of ((-10)/5)/((-112)/14)? 1/4 What is the value of ((-2)/(-80)*8)/(2/(-70))? -7 ((-1058)/(-345)*5)/((-16)/6) -23/4 What is the value of (-5)/7*(252/(-490))/((-24)/(-56))? 6/7 What is the value of 189/35*((-25)/30)/((-2)/4)? 9 What is (-1*54/72)/(9/(-84))? 7 Evaluate (-3048)/635*(-1)/18. 4/15 What is the value of (20*(-7)/(-56))/(50/240)? 12 What is the value of 108/198*(-5)/30? -1/11 What is ((-36)/(-8))/3*408/(-12546)? -2/41 Calculate 2/3*(-1449)/9660. -1/10 Evaluate (-99)/66*8*(-13)/234. 2/3 Evaluate ((-13)/52)/(((-143)/(-676))/11). -13 Calculate (-24)/(-88)*11/(-2)*(-16)/(-3). -8 Evaluate (2/(140/(-135)))/((-54)/(-504)*-4). 9/2 What is the value of (1/(-12))/((-280)/(-448))? -2/15 What is (27/(-567))/(12/14)*8? -4/9 (5/180*-2)/((-20)/(-80)) -2/9 What is -6*((102/(-85))/6)/(3/(-10))? -4 Evaluate -9*-22*(-7)/77*10/(-12). 15 What is ((-13)/(39/115))/((-25)/15)? 23 What is (2/3)/((-4387)/321)? -2/41 Evaluate (4/(-6))/(((-122)/(-12))/61). -4 Evaluate ((-2)/6*-2)/((13668/469)/(-102)). -7/3 (4/(-3))/((-32)/24*3/3) 1 What is the value of (-108)/(-18)*(-17)/1275? -2/25 Evaluate (-26*4/16)/((-6)/6)*2. 13 Evaluate (801/(-1068))/(2/(-16)). 6 Calculate (1890/(-7))/(-9)*(-3)/6. -15 What is the value of 6/1*(((-160)/(-8))/(-4))/(-2)? 15 Calculate ((-1)/(-2))/(504/(-72)). -1/14 What is the value of ((-25)/(-20)*-1)/(39/52)? -5/3 Calculate 45/8*(-61)/((-24095)/158). 9/4 What is (-63)/504*(-80)/(-4)? -5/2 What is the value of (((-4)/(108/9))/7)/((-14)/(-49))? -1/6 ((-41)/(1845/306))/(((-4)/(-5))/2) -17 What is the value of (43/258)/((-7)/4)? -2/21 What is the value of (40/(-150))/((-27)/(-162))? -8/5 Evaluate ((-29)/((-2610)/(-36)))/(120/25). -1/12 What is the value of (95/19)/((-15)/(-27))? 9 Evaluate ((-75)/(-35))/15*(-539)/(-11). 7 Calculate (9/135)/(11/99*-3). -1/5 What is the value of ((-4)/(-72))/(82/(-246))? -1/6 (2/(-20))/(103/1236) -6/5 What is ((58/(-87))/(15/(-18)))/((-2)/(-45))? 18 What is (11808/(-6232))/((-9)/114)? 24 Evaluate 0/(((-40)/(-1))/5). 0 What is the value of (3/(-45)*6*-1)/(4/30)? 3 What is (1673/1912)/(70*1/8)? 1/10 Calculate -78*8/(-120)*5/40*-4. -13/5 What is 35*(17/(-1))/85? -7 Evaluate 48/240*(10/3)/(-5). -2/15 What is (-579)/(-579)*4/(6/27*1)? 18 Calculate ((21/(-15))/7)/((-27)/(-162)). -6/5 (5*108/(-2835))/(4/27) -9/7 What is ((-36)/(-30))/((-108)/540)? -6 What is the value of 192/448*14/(-8)? -3/4 Calculate 7*(-18)/(-49)*(-21)/(-9). 6 (-3650)/5110*21/9 -5/3 What is the value of (-4)/(-10)*(-18900)/1680? -9/2 Evaluate ((-392)/(-231))/(234/143)*(-6)/(-4). 14/9 What is (12/8)/3*(-4048)/(-184)? 11 Calculate 0*(-1224)/(-272)*1/9. 0 What is 6/10*65/((-10140)/(-364))? 7/5 What is the value of ((-39)/(25857/34))/((-2)/(-6))? -2/13 Calculate (636/(-1431))/(8/(-3)). 1/6 What is 2*((-10)/6)/((-3)/((-72)/(-32)))? 5/2 (-15489)/8605*(-15)/(-1) -27 What is the value of ((-50)/(-3))/(-5)*2544/530? -16 What is 15680/(-49280)*((-4)/7)/(-1)? -2/11 What is the value of (1/(-11))/(333/(-40293))? 11 What is (-3)/(-30)*-4*31/186? -1/15 What is the value of ((-4)/((-80)/(-30))*4/(-6))/1? 1 ((-6)/(-5))/(-6*1*6/120) -4 Calculate (-6)/1*4/(25/(150/(-12))). 12 What is 1/((-10)/15)*144/135? -8/5 ((-441)/140)/(-9)*392/1029 2/15 What is ((-18)/(-63))/(-3*15/(-35))? 2/9 Calculate 2/(-5)*1791/1194. -3/5 What is (342/2052)/(4/(-15))? -5/8 20/(-2)*(-192)/320*4 24 Calculate 162/702*65/(-30). -1/2 What is 10*(-17)/(1105/2)? -4/13 What is (3*4/42)/(4235/17787)? 6/5 Evaluate 3/6*14/(-175)*-5*1. 1/5 14/(-5)*2/2*(-59030)/(-5903) -28 Evaluate (-822)/2466*1*-15. 5 What is the value of ((-48)/684)/((-54)/243)? 6/19 Calculate -1*(-5)/40*25/((-175)/(-112)). 2 What is 16/(-1620)*(-1656)/368? 2/45 Calculate ((243/18)/27)/((-2)/2). -1/2 Evaluate (-25452)/9090*(-50)/98. 10/7 What is the value of 9*(-56)/588*21/9? -2 What is the value of 21/(-231)*-55*-3? -15 (-79)/395*90/12 -3/2 What is ((-34)/(-374))/(2/(-1)*(-4)/8)? 1/11 What is (10/(-5))/(-3*5*(-49)/(-294))? 4/5 What is the value of ((-11)/275)/(6/(-20))? 2/15 Evaluate ((273/52)/(-7))/(((-9)/(-2))/3). -1/2 What is ((-3)/2)/(224/28)*4? -3/4 What is ((-18)/(792/(-22)))/(6/(-28))*6? -14 Calculate (((-812)/(-28))/(-87))/3. -1/9 (-37)/(407/22)*9/(-6) 3 What is (((-80)/12)/((-280)/60))/(1/7)? 10 ((-22)/(-44))/(2/44) 11 What is the value of (-1)/((504/21)/120)? -5 Calculate ((-12)/(-10))/((48/12)/(-40)). -12 Evaluate (-10)/18*-2*-6*47/(-188). 5/3 What is ((-2)/(-2))/((-4)/(-3))*(-1564)/2346? -1/2 What is the value of 1/(-21)*104/1196*-23? 2/21 Calculate (-24*25/1950)/(-2). 2/13 Calculate (((-35)/10)/(-1))/((-3)/(-36)*-6). -7 Calculate 42/(-10)*(-1480)/1036. 6 35/(-30)*(-18)/336*2 1/8 What is ((-90)/(-6))/15*23/(-5)? -23/5 What is 24/(-36)*(-180)/(-200)? -3/5 Evaluate (4/(-76))/((50/(-20))/(-5)). -2/19 What is (-7)/(-3)*13/91*1? 1/3 What is (500/(-25))/(-10)*10/(-1)? -20 What is (66/(-8))/((-252)/336)? 11 What is the value of ((-3)/(-9)*-1*1)/((-3500)/(-600))? -2/35 Calculate (10/7)/((-725)/(-203)). 2/5 Evaluate ((-7)/140*-7)/(47/(-376)). -14/5 What is ((-14)/(112/8))/(8/24*-1)? 3 What is (2684/(-16104))/(1/60)? -10 Evaluate (1*4*-1)/(20*(-43)/(-1720)). -8 What is the value of 711/(-553)*28/6? -6 Calculate (2/(-6))/((-108)/405). 5/4 Calculate (1/((-30)/(-4)))/(637/(-273)). -2/35 What is 169/26*400/130? 20 What is 660/176*(12/(-30))/2? -3/4 Evaluate (-95)/(-38)*(-1568)/735. -16/3 What is 24*35/35*1/6? 4 Calculate ((-15)/180*117)/(6/(-8)). 13 (44/99)/(4/3)*18/87 2/29 Evaluate (2/(-3))/((-61)/366). 4 Calculate (10/(-8))/(1378/(-27560)). 25 (-7)/(-6)*(-710)/497 -5/3 (16/(-120))/(80/(-48)*(-4)/5) -1/10 What is (-3495)/7456*8/(-20)? 3/16 What is (-4)/15*((-972)/(-8))/27? -6/5 Calculate (8/6)/(776/14550). 25 What is the value of ((6624/128)/23)/(-3)? -3/4 Evaluate (13/130*-5)/(4/(-200)). 25 What is (-2)/(-2)*25*1/250? 1/10 What is the value of 3/17*6/(-18)? -1/17 What is the value of ((-63)/336*-136)/((-1)/((-6)/9))? 17 What is ((-648)/(-12636))/((-2)/(-6))? 2/13 What is the value of (-7)/(-7)*(-5)/(5/1)*-6? 6 What is the value of ((-4)/6)/((-128)/(-96))*7? -7/2 What is (12*(-56)/840)/((-4)/30*1)? 6 Evaluate ((-6)/(-840)*7)/(7/140*12). 1/12 Evaluate (-18)/21*2877/(-137). 18 What is the value of (14/(-21)*-3)/(6/(-12))? -4 (46/3)/(548/(-822)) -23 What is (-1*1)/(((-588)/(-24))/((-105)/(-45)))? -2/21 What is the value of (1/3)/((-256)/(-4608))? 6 What is the value of ((-180)/16)/9*1440/(-24300)? 2/27 Calculate ((-4)/(-1))/2*2250/(-1500). -3 1*20/4*(24/9)/8 5/3 ((-252)/4200)/(6/(-20)) 1/5 Calculate 7*-3*1*122/427. -6 What is
{ "pile_set_name": "DM Mathematics" }