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s 566 smaller than a? False Let u = -9.5413 + 9.6. Is 1/4 less than or equal to u? False Let s = -9.06 + 0.06. Let a = s + 8. Let r = -63 - -68. Is a < r? True Let n(l) = -4*l**3 + 35*l**2 - 17*l - 10. Let i be n(8). Is i smaller than 39? False Let s = 22 + -22.25. Let f = 19 - 19.3. Which is smaller: f or s? f Let f(n) = n - 4. Let y be f(4). Suppose 0 = -y*q + 5*q. Suppose -3*w = -5*i - 43, q*i + i - 7 = -2*w. Which is smaller: 7 or w? w Suppose 5*i + 10 = 0, -i - 132 = 5*b - 35. Is b < -7? True Let b = 112 - 116. Let p be (b/(16/(-2)))/(316/48). Is 0 at least p? False Let w = 735 - 304. Is 431 >= w? True Let h(j) = j**3 + 3*j**2 - 6*j - 3. Let r be h(-4). Suppose 4*q + 2*b = -6, 0*q + r*q - 5*b + 15 = 0. Is -2 > q? False Let y = 3184 + -35053/11. Which is greater: y or -2? -2 Suppose -5*w = -5, 0 = -2*d + 5*w - 24 - 9. Is d <= -108/7? False Suppose 0 = 6*c - 11*c - 120. Let h = 38 - 21. Let m = c + h. Is m less than -6? True Suppose 4 = -14*c - 10. Suppose 4*f - f = -4*q - 32, 0 = 2*f + 3*q + 22. Let w be 0 + f + 3 + 3. Is c at most w? False Suppose 8 = 4*u - 4*f, -3*u - 19 = f - 5. Let y(i) = -6*i - 17. Let k be y(u). Is k at least as big as -2? True Let q = 10/21 + -16/21. Which is bigger: 679 or q? 679 Let y(m) = 10*m**3 - m**2 + m. Let u be y(1). Let p be u/15 - 14/(-6). Let q = -4 + p. Which is smaller: -2/9 or q? q Let m = -1 + -2. Let a be -4 - (-1 + (m - -1)). Let k be (4 - (4 - 8))*a. Is k at least -8? True Let r(s) be the second derivative of s**5/4 - s**4/12 - s**3/6 + s**2/2 + 3*s. Let p be r(1). Let m = p + -5. Which is smaller: 1/9 or m? m Let t = 19 - 17. Suppose 4*c - 4 = -3*u, -5*c - t*u + 6*u = -5. Is c < 3/17? False Let f be ((-3)/((-15)/2))/((-9)/(-5)). Let x = f + 4/9. Is 54 smaller than x? False Let h be (1*-1)/((-25)/(-470)). Let u = h + 97/5. Which is smaller: 1 or u? u Let z = 6.2 + -6. Let f = 6 - 5.7. Let l = f + -0.3. Which is smaller: z or l? l Suppose -6*p = -3*p - 3*t - 1818, 6 = -2*t. Which is bigger: p or 604? 604 Let b = -66 + 58. Which is bigger: b or 29? 29 Let o(a) be the first derivative of a**4/4 - 2*a**3/3 - 2*a**2 + 3*a + 7. Let c be o(3). Is c less than -1/5? False Let x be (7 - 7)/(((-1)/1)/1). Let t = 72 + -218/3. Which is greater: x or t? x Suppose -5*q - 22 = -p, 0 = -p - 3*q - 2*q - 18. Let x = 60 - 63. Is x at most p? True Let f(b) = b**3 + 7*b**2 + 5*b - 4. Let p be f(-6). Let c = p - 5. Let h be c - (0 - 57/21). Which is bigger: h or 0.2? 0.2 Let t be 42161/(-1197) - (-4)/18. Which is bigger: -10 or t? -10 Let s = 815 - 813. Let g(k) = -3*k**3 + k - 2. Let o be g(-2). Which is bigger: o or s? o Let s(l) = -l**2 + 7*l - 13. Let k be s(7). Let f = k + 66/5. Are -1 and f equal? False Let j be (-4499)/28072 - 12/(-66). Is j at most 0? False Let o(t) be the second derivative of -t**5/20 + 7*t**4/12 - t**3/6 + 7*t**2/2 + 7*t. Let w be o(7). Let a be 18/70 + 4/(-10). Are a and w nonequal? True Suppose 44*j - 24 = 56*j. Is 1/8 equal to j? False Let i = -22 - -24. Let l be (-1)/3 + 21/9. Is i not equal to l? False Let z = 43954/41 - 1072. Let j(h) = -h**2 + 5*h - 3. Let o be j(4). Which is smaller: z or o? z Let r be ((-2)/(-3))/((-10)/(-15)). Let s be 1/(-3) + 518/1302. Which is smaller: r or s? s Let n(i) = i**2 - 4. Let l be n(3). Suppose 2*h - 7*h + 21 = 4*v, 22 = 3*v + l*h. Is v at least as big as 2/99? False Suppose -t + 3*f - 212 = 0, -5*t + 2*f = -0*t + 1021. Does -203 = t? True Let w = 1.88 - 1.896. Which is greater: w or 0? 0 Let n be ((-15)/(-10))/(2/4). Suppose 3*d + n = z, 1 + 4 = -3*z - 5*d. Which is greater: 14/17 or z? 14/17 Let w be 3/(-8)*2 - (-215)/20. Suppose 7*m - w*m - 12 = 0. Which is smaller: -3 or m? m Suppose 3*d + 10 = -2*d. Let a = d - -5. Let k = -1206/7 + 172. Which is smaller: k or a? k Let m(v) = -2*v**2 + 2*v - 4. Let j be m(-4). Let a = j + 41. Suppose 4*u - 1 = -9. Which is smaller: a or u? a Suppose 8 + 42 = 2*b. Let l be 2 - ((-3)/(-5) - (-60)/b). Is l not equal to 1/9? True Suppose -2*c - 30 = 5*i + 3*c, -3*c - 12 = i. Which is smaller: i or -21/10? i Let s be 11928/(-4312) + 12/14. Is 1/3 >= s? True Let r(f) = f**3 + 8*f**2 - f - 9. Let n = -78 - -70. Let q be r(n). Is q smaller than -1/15? True Let x(l) = -l**2 - 13. Let w be x(0). Let a(g) = -g**3 + 9*g**2 - 2*g + 9. Let r be a(9). Which is bigger: w or r? r Let t be (-6 + (-180)/(-27))*3/5. Which is bigger: 9 or t? 9 Let q be (-11 - 42774/(-2376)) + (-8 - -1). Which is bigger: 0 or q? q Let d(l) = l**3 - 2*l**2 + l - 3. Let f be d(2). Is 2/21 at least as big as f? True Let q = 420 - 420. Let t(j) = -j + 1. Let v be t(3). Which is smaller: v or q? v Let q = 5.5 - 2.9. Let i = 13.4 + q. Let d = 16.2 - i. Which is smaller: 5 or d? d Let a be 9/(2 + (-6 - -3)). Let m = 12 + a. Let k(l) = l**3 - 2*l**2 - 4*l. Let b be k(m). Which is smaller: -9/5 or b? b Let x(p) = -4*p - 18. Let k(d) = -d**3 + 11*d**2 - d + 5. Let c be k(11). Let f be x(c). Let i be -5*1/((-10)/8). Which is greater: f or i? f Let c = 21/1292 - 20413/1096908. Is 1 != c? True Let g = -1811/265224 - 5/1032. Is g < -1? False Suppose 0 = -3*v + 4*d + 31, 6*v = 2*v - d + 16. Let p be (30/4 + 1)*-20. Let i be (-5)/(-4)*(-476)/p. Is v greater than or equal to i? True Let u = -2080 - -1389. Which is bigger: -690 or u? -690 Let x = 26838 - 6307054/235. Let m = x - -6/47. Let b = 12 - 10. Which is bigger: m or b? b Let x = -370/537 + 4/179. Is x less than 0.166? True Let f = -12589/41 + 307. Let u = -72459 + 14854064/205. Let z = f + u. Is -1 bigger than z? False Let j be (-8)/20 - (-4)/10. Suppose 2*t = 5*b - 40, j = -b + 4*t + 2 + 6. Let u be 3*((-32)/12)/(-1). Is b bigger than u? False Suppose -4 - 46 = -5*v. Suppose -5*h - v = -7*h. Suppose 0 = h*x - 1 - 19. Is x > -0.1? True Let n = -541 - -541. Which is smaller: -74 or n? -74 Let w(p) = -2*p**3 + 12*p**2 - 8*p - 15. Let y(a) = -a**3 + 6*a**2 - 4*a - 8. Let g(n) = -3*w(n) + 5*y(n). Let x be g(5). Which is greater: x or -7/27? x Suppose 6*y - 98 = 13*y. Let k be 3 + y/4 - (-105)/170. Which is smaller: k or -1? -1 Let v(b) = -2*b**2 - 8*b - 1. Suppose 1 - 9 = 2*x. Let g be v(x). Are g and -2 nonequal? True Let y(v) = 8*v - 9*v + 5*v - 45 + 2. Let h be y(11). Is 1 < h? False Let r(y) = -30*y - 249. Let g be r(-9). Suppose l + 44 = 3*l. Is g > l? False Suppose 4*f + 10 = 54. Suppose f*g + 5 = 6*g. Is g at least as big as -6/67? False Let o(q) = -q**3 - 11*q**2 + 13*q + 14. Suppose -3*g - i - 30 = 2, 2*g + 36 = 3*i. Let b be o(g). Is b equal to 5? False Let c be 2/(-7) - 183/(-28). Suppose -5*h = 0, -2*n + 3*h - 1 + 11 = 0. Which is greater: n or c? c Let k(p) = 2*p - 2. Let g be k(10). Suppose -7*q + 10*q - g = 0. Let d be (-9)/27 + (-4)/q. Does -2 = d? False Let i(v) = -3*v**3 + 3*v**2 - 1. Let t be i(0). Which is greater: t or -8/9? -8/9 Suppose -5*o + 591 = 1651. Let f = o - -1916/9. Is -2/7 greater than f? False Let z be (-50)/(-675) - (-212)/54. Is -6 greater than or equal to z? False Let v = 73 + -71. Suppose -2*o = 3*o + v*m - 13, -m = -4. Is o equal to 4/3? False Let v = -324 - -857. Is v greater than 1? True Suppose -4*m = 3*f + 70, 5*m + 5*f + 1 = -89. Suppose 11 = -v + 3*s, 5*v = 4*s + 16 - 49. Let d be -4 - ((-1)/v + 192/15). Do d and m have the same value? False Let x be 1592/40 + -4 - (9 + -6). Which is greater: 32 or x? x Let t = -1606 + 407. Is -1200 greater than or equal to t? False Let q(m) = 4*m**2 + m + 1. Let u be q(3). Let h be ((-6)/(-21))/(u/(-212)). Let o = 1/70 + h. Which is smaller: -2 or o? -2 Let f be ((-10)/(-35) - 0) + (-18)/14. Is f bigger than -0.485? False Let w(t) = -12*t**2 - t - 3 - t + 2 + 2. Let y be w(1). Let u = y + 85/6. Is u not equal to 1? True Let d = -149 + 179. Is 31 at least as big as d? True Let j = 18.85 - 45.85. Is j at most as big as 2.7? True Let g be (-1*8)/(-4) + -32. Let d be 1/6 + (-55)/g. Suppose -d*a = -3*a. Is -4/3 equal to a? False Let f = -189 - -566/3. Which is smaller: f or 6.5? f Let r = 54 + -26. Which is smaller: r or 1? 1 Let f = -447 - -446.983. Let r be 15/(-20) + 2 - 1. Which is greater: f or r? r Suppose -u - 11 = -2*t, -3*u - t + 2*t - 53 = 0. Let g = u + 21. Suppose k + 6 = -g*k, 2*q = -2*k - 8. Is q at most as big as 3? True Let a = 9 - 8. Let w be 119/126 + a/(-6). Which is greater: w or 2? 2 Let o(h) = 4*h + 31. Let l be o(-7
{ "pile_set_name": "DM Mathematics" }
es. 0.163 Round 6813.2592 to the nearest one hundred. 6800 Round 10.6748074 to 2 decimal places. 10.67 What is -0.0039325914 rounded to 4 decimal places? -0.0039 Round 0.0004589551041 to 4 dps. 0.0005 Round 0.000249347959 to seven decimal places. 0.0002493 Round -759724.771 to the nearest one thousand. -760000 What is 0.00000004525994 rounded to seven decimal places? 0 What is 146.521015 rounded to the nearest integer? 147 What is 0.00299651859 rounded to 6 decimal places? 0.002997 Round -0.0000035920565 to 7 dps. -0.0000036 Round 0.000000872712919 to seven decimal places. 0.0000009 What is -0.20007714 rounded to one dp? -0.2 Round -2296272.36 to the nearest one hundred thousand. -2300000 What is -711.9778336 rounded to zero dps? -712 Round 0.0269468366 to 4 dps. 0.0269 Round -112735.228 to the nearest 100. -112700 Round -0.000057666694 to 6 decimal places. -0.000058 What is -4736098870 rounded to the nearest 100000? -4736100000 What is 9422679500 rounded to the nearest 1000000? 9423000000 Round -914290360 to the nearest 100000. -914300000 What is -2362002106.3 rounded to the nearest 100000? -2362000000 What is -23631685.4 rounded to the nearest one hundred thousand? -23600000 Round -1.5454625 to four dps. -1.5455 What is 1587.36734 rounded to the nearest 10? 1590 What is -4.878836764 rounded to 3 decimal places? -4.879 Round -0.0000022639695049 to seven dps. -0.0000023 Round 43.667302 to the nearest ten. 40 Round -0.00028215527 to 5 dps. -0.00028 What is -26429.2508 rounded to the nearest one hundred? -26400 What is -25488.08 rounded to the nearest one thousand? -25000 What is -11766833176 rounded to the nearest one million? -11767000000 Round -11627.835 to the nearest ten thousand. -10000 Round 378852367.8 to the nearest one hundred thousand. 378900000 What is 0.0749869989 rounded to five decimal places? 0.07499 What is -0.00000518346715 rounded to 7 dps? -0.0000052 What is 265.602769 rounded to one dp? 265.6 What is 0.008118451024 rounded to four dps? 0.0081 What is -0.7506599188 rounded to four dps? -0.7507 Round 0.0000587570042 to 7 decimal places. 0.0000588 Round 2760483.42 to the nearest 1000. 2760000 What is -0.00040327559 rounded to six dps? -0.000403 Round -121055320.7 to the nearest one million. -121000000 Round -18244.75513 to the nearest one thousand. -18000 Round -0.2111668733 to five decimal places. -0.21117 Round -1159.58619 to one decimal place. -1159.6 What is 0.0001746525399 rounded to 6 dps? 0.000175 What is -0.0000496204004 rounded to 6 decimal places? -0.00005 What is -0.000360317473 rounded to 7 decimal places? -0.0003603 What is -817886.26 rounded to the nearest one hundred thousand? -800000 Round 27.251708 to 0 decimal places. 27 Round 1451.23291 to 1 decimal place. 1451.2 What is -0.00830209053 rounded to three decimal places? -0.008 What is 0.0000604146071 rounded to seven decimal places? 0.0000604 Round 0.00191483672 to six decimal places. 0.001915 Round -921230711.4 to the nearest 1000000. -921000000 What is 2163954.1891 rounded to the nearest ten thousand? 2160000 Round 423.333011 to two decimal places. 423.33 What is -0.0000993383629 rounded to 6 dps? -0.000099 What is -0.0009980949777 rounded to 6 dps? -0.000998 What is -8.505049972 rounded to 3 decimal places? -8.505 Round 55520.86459 to 0 decimal places. 55521 What is 0.6273300203 rounded to two dps? 0.63 What is 0.146732458 rounded to 5 decimal places? 0.14673 What is -0.160826131 rounded to two dps? -0.16 Round -440.7512612 to one decimal place. -440.8 What is 79338510.16 rounded to the nearest 100000? 79300000 What is -0.01581249974 rounded to 7 decimal places? -0.0158125 Round -380.335212 to the nearest one hundred. -400 Round -14.09572056 to zero dps. -14 Round 417.420251 to the nearest 100. 400 What is 6492611.7 rounded to the nearest one hundred thousand? 6500000 Round 1732665.343 to the nearest 100000. 1700000 What is 2391.30675 rounded to zero decimal places? 2391 Round 0.00050165035 to 6 decimal places. 0.000502 What is 597325.6971 rounded to the nearest one thousand? 597000 What is 0.76378225 rounded to two decimal places? 0.76 What is 26050.569 rounded to the nearest one thousand? 26000 What is 5.684905 rounded to 0 decimal places? 6 What is 727156.51 rounded to the nearest one hundred? 727200 What is 0.00000575943901 rounded to seven decimal places? 0.0000058 Round -39879.8619 to the nearest one hundred. -39900 What is -0.4878201213 rounded to five dps? -0.48782 What is 0.0006974679061 rounded to seven decimal places? 0.0006975 What is 0.000049349876 rounded to 6 dps? 0.000049 Round 2.04014807 to three decimal places. 2.04 What is 511.24731 rounded to the nearest one hundred? 500 What is -9.14458756 rounded to 4 decimal places? -9.1446 Round 126557.708 to the nearest ten. 126560 What is 0.0014185212 rounded to 3 dps? 0.001 What is -36.34094035 rounded to the nearest integer? -36 Round -0.492357836 to one dp. -0.5 Round 0.0000001303464337 to 7 dps. 0.0000001 Round -0.001032768229 to 5 dps. -0.00103 What is 199.0353209 rounded to 1 decimal place? 199 What is -8.437927 rounded to two dps? -8.44 What is -0.018715381 rounded to three decimal places? -0.019 What is -59.3755422 rounded to the nearest 10? -60 Round -0.00002229485 to 7 decimal places. -0.0000223 Round -14131.3998 to the nearest ten thousand. -10000 Round 806195.1118 to the nearest one thousand. 806000 Round 0.1240103 to zero decimal places. 0 What is -645118.6849 rounded to the nearest 10? -645120 What is -0.00002656576029 rounded to 6 dps? -0.000027 Round 89152.52165 to the nearest one thousand. 89000 Round -11052988.64 to the nearest 100000. -11100000 Round 9380480.393 to the nearest one hundred. 9380500 Round 2247.64053 to the nearest 10. 2250 Round 130184580.04 to the nearest 10000. 130180000 Round 0.0730678144 to two dps. 0.07 What is -4488200.06 rounded to the nearest one hundred? -4488200 Round -1583780.81 to the nearest one thousand. -1584000 What is 31167.374 rounded to the nearest 10? 31170 Round 2315.64332 to the nearest ten. 2320 What is -439391.197 rounded to the nearest 1000? -439000 What is -0.00116696108 rounded to 5 dps? -0.00117 What is 257125978.86 rounded to the nearest 100000? 257100000 Round 159953.337 to the nearest 100000. 200000 Round -1.91989944 to one decimal place. -1.9 Round 0.000461082511 to five dps. 0.00046 Round 0.36085586 to 2 dps. 0.36 What is 234259.483 rounded to the nearest one thousand? 234000 Round -13600888749 to the nearest 1000000. -13601000000 Round -404981.0766 to the nearest 10. -404980 Round -3.6601813 to one decimal place. -3.7 Round 338430847 to the nearest one million. 338000000 Round 953469.8 to the nearest one million. 1000000 What is 0.0000205608687 rounded to six decimal places? 0.000021 What is 1837428 rounded to the nearest ten thousand? 1840000 What is -0.0000160100332 rounded to 7 decimal places? -0.000016 What is 9.95836001 rounded to 3 dps? 9.958 What is -0.0009325129991 rounded to six dps? -0.000933 Round -12081.857296 to the nearest one thousand. -12000 Round 12180.19327 to the nearest 1000. 12000 Round -3255347190 to the nearest one hundred thousand. -3255300000 What is -0.17202032075 rounded to 6 decimal places? -0.17202 What is -6656295 rounded to the nearest 100000? -6700000 Round -93577448.73 to the nearest one thousand. -93577000 What is -3516.102263 rounded to 1 dp? -3516.1 What is 450236.5582 rounded to the nearest one thousand? 450000 What is -603618.1374 rounded to the nearest 10? -603620 Round 603.731585 to the nearest ten. 600 What is 11081.909988 rounded to the nearest ten? 11080 Round 1.413044948 to zero dps. 1 What is -0.00909089402 rounded to 5 decimal places? -0.00909 What is -0.00140772959 rounded to three dps? -0.001 Round -0.65662215 to 4 decimal places. -0.6566 Round -16515460200 to the nearest one million. -16515000000 What is -42.2562165 rounded to one dp? -42.3 Round -0.016954166 to five decimal places. -0.01695 What is -190.147104 rounded to the nearest 100? -200 What is 535010.615 rounded to the nearest 10? 535010 Round 0.0056433435 to 6 dps. 0.005643 Round -2379767567.2 to the nearest 1000000. -2380000000 Round 0.009358379937 to three dps. 0.009 Round -1272704.1597 to the nearest ten thousand. -12
{ "pile_set_name": "DM Mathematics" }
ivative of y(o) wrt o. 72*o**2 Let p(u) be the first derivative of u**6/60 - 31*u**5/60 - 9*u**2/2 + 33. Let s(j) be the second derivative of p(j). What is the third derivative of s(y) wrt y? 12 Let c(n) = -4. Let o(s) = -7. Let u(t) = -5*c(t) + 3*o(t). Let x(l) = -3*l**2 + 11. Let z(r) = -30*u(r) - 5*x(r). What is the derivative of z(d) wrt d? 30*d Suppose 0 = -3*z - 49 + 262. Suppose -a - 355 = -6*a. What is the third derivative of 6*k**4 + a*k**3 + 5*k**2 - z*k**3 wrt k? 144*k Let d(p) be the third derivative of -313*p**6/120 - 47*p**5/30 - 299*p**2. Find the third derivative of d(m) wrt m. -1878 Let j be ((-102)/(-2))/((-6)/(-4)). Differentiate -j*l**4 + 2 - 11 + 4 + 34 wrt l. -136*l**3 What is the first derivative of -2*j - 72 + 5*j + 7*j**3 - 2 + 54 - 116 wrt j? 21*j**2 + 3 Suppose 4*w - 4*d - 8 = 0, 5*w - 4*w - 4*d - 2 = 0. Differentiate -3*y**2 - w*y**4 + 17 + 3*y**2 - 26*y**4 with respect to y. -112*y**3 Suppose -4*q - 4*n = -76, 4*n = -5*q - 0*n + 90. Suppose -2*r - 4 = -q. Find the third derivative of -t**2 + 7*t**3 + 4*t**3 - r*t**3 wrt t. 36 Let g(m) be the second derivative of 1/4*m**4 - 13*m + 4/3*m**3 + 0 + 0*m**2. What is the second derivative of g(f) wrt f? 6 Let z(o) be the third derivative of -11/60*o**5 - 1/6*o**4 + 0*o - 6*o**2 + 0 + 0*o**3. Find the second derivative of z(b) wrt b. -22 Let t(m) be the third derivative of m**8/336 + 23*m**7/35 + m**4/8 - 35*m**3/3 - 2*m**2 + 124. Find the second derivative of t(d) wrt d. 20*d**3 + 1656*d**2 Let p(g) = -107*g**4 + 3*g**3 + 6*g**2 + 139*g. Let b(k) = k**3 + 2*k**2. Let a(v) = 3*b(v) - p(v). Find the second derivative of a(n) wrt n. 1284*n**2 Let l = 9 + -4. Suppose 0 = 2*j - l - 1. What is the second derivative of 5*y**4 + 3*y + j*y**4 - 9*y - 4*y**4 wrt y? 48*y**2 Find the first derivative of 66 - 8 + 108*v + 16 + 40*v wrt v. 148 Let j(l) = 631*l**4 + 5*l**3 - 8*l**2 + 25*l + 5. Let q(f) = f**4 - f**3 + f**2 - 1. Let b(p) = -j(p) - 5*q(p). What is the third derivative of b(i) wrt i? -15264*i Let s = 51 + -37. Find the second derivative of d**3 - 15*d**3 + 6*d - s*d wrt d. -84*d Let c = 51 - 36. Suppose 18*f - c*f - 9 = 0. What is the second derivative of 5*y - f*y**2 - 3 + 3 wrt y? -6 Let h be (-9)/21 - 96/(-28). Let q(c) be the first derivative of 1 + 36*c**2 + 2*c**6 + 2*c**h - 3*c**6 - 36*c**2. What is the third derivative of q(w) wrt w? -360*w**2 What is the derivative of -123*z**3 + 141*z**3 + 19*z**3 + 205*z**3 + 198*z**3 - 749 wrt z? 1320*z**2 Let r(m) = -165*m**2 - 88*m + 3. Let j(w) = -496*w**2 - 265*w + 8. Let k(x) = -3*j(x) + 8*r(x). Find the second derivative of k(q) wrt q. 336 Let p = -30 - -7. Let b = p + 29. Find the third derivative of -4*g**6 + b*g**2 - g**2 + 3*g**2 wrt g. -480*g**3 What is the second derivative of -p + 53*p**4 + 72*p**2 - 23*p**4 - 27*p**4 - 53 wrt p? 36*p**2 + 144 Let j(g) = 173*g**2 + 4*g + 214. Let u(k) = 174*k**2 + 5*k + 212. Let y(h) = -5*j(h) + 4*u(h). What is the derivative of y(b) wrt b? -338*b Let k(d) = 33*d**2 + 33*d + 6. Let m(u) = 2*u**2 + 1. Let h(a) = k(a) - 6*m(a). What is the second derivative of h(j) wrt j? 42 Let c(x) be the second derivative of 251*x**6/30 + 197*x**2/2 - x - 31. What is the first derivative of c(r) wrt r? 1004*r**3 Let z(f) = 169*f**4 + 48*f**2 + 4. Let r(q) = q**4 - q**2 - 1. Let g(u) = 4*r(u) + z(u). Find the third derivative of g(y) wrt y. 4152*y Let j(n) = -74*n**2 + 32*n + 5. Let a(l) = -1. Let o(d) = -5*a(d) - j(d). Find the second derivative of o(k) wrt k. 148 What is the first derivative of 5 + 6 + 377*w**4 - 433*w**4 wrt w? -224*w**3 Let y(c) = 194*c**4 - 4*c**2 - 26*c + 13. Let u(x) = -193*x**4 + 3*x**2 + 25*x - 14. Let h(q) = 4*u(q) + 3*y(q). Find the second derivative of h(b) wrt b. -2280*b**2 Let j(q) = 3*q + 12. Let o be j(-3). Find the third derivative of c**2 + 28*c**o - 25*c**3 - 2*c**2 wrt c. 18 Let f(g) = -9*g**4 + 3*g + 31. Let u = 106 + -110. Let a(b) = 8*b**4 - 4*b - 31. Let i(h) = u*f(h) - 3*a(h). Differentiate i(s) with respect to s. 48*s**3 Let o(w) = 346*w**4 + 2*w**3 + 2*w**2 - 2*w - 37. Let n(t) = t**4 + t**3 + t**2 - t + 2. Let y(c) = -4*n(c) + 2*o(c). What is the derivative of y(b) wrt b? 2752*b**3 Let q(y) = 62*y**3 - 2*y**2 - y + 1. Let c(a) = 435*a**3 - 15*a**2 - 6*a + 6. Let w(o) = -2*c(o) + 15*q(o). What is the second derivative of w(j) wrt j? 360*j Let l = 51 + -42. What is the third derivative of -t**5 - 22*t**6 + t**5 + 7*t**2 + l*t**2 wrt t? -2640*t**3 Let b = -4 - -14. What is the second derivative of 5*r + 12*r**2 + 10 + 8*r - b wrt r? 24 Let q = 8 + -3. Suppose -i = -6*i + q. Find the first derivative of 3*p**2 + 6 - 4 - 2*p**2 - i wrt p. 2*p Let c be -10*1/10*-4. Differentiate c - 2*d**4 + d**4 + 2*d**4 - 6*d**4 wrt d. -20*d**3 Let u(t) be the second derivative of 26*t**4/3 - 4*t**3/3 - 93*t. What is the second derivative of u(i) wrt i? 208 Suppose 2*z + 19 + 27 = 0. Let r = z + 36. What is the third derivative of -o**2 + 8*o - o**6 - r*o + 5*o wrt o? -120*o**3 Let c be -2*(1 + -6) - 3. Suppose 0 = -q + 3*z + 4, c*q = 3*q + 4*z + 24. Differentiate -q + 0*a - 3 + 2 + 10*a with respect to a. 10 Let x(b) = 132*b**4 - 6*b**3 + 151*b - 3. Let p(l) = 132*l**4 - 4*l**3 + 150*l - 2. Let j(u) = 3*p(u) - 2*x(u). Find the second derivative of j(k) wrt k. 1584*k**2 Let b be ((-16)/(-4) - 0)/2. What is the third derivative of 3*g**2 - 3*g**2 + 4*g**2 + 9*g**4 + 16*g**b wrt g? 216*g Suppose -24 = -2*c + b, 0 = 2*b - 0*b + 4. Let g = -9 + c. What is the third derivative of -g*q**3 + q**3 + 3*q**3 + 5*q**2 wrt q? 12 Suppose 4 = 7*g - 5*g. What is the third derivative of 221*c**g + 0*c**5 + 4*c**5 - 233*c**2 wrt c? 240*c**2 Let g = 3 + 3. Let y(j) = -g + j + 5 + 0. Let b(q) = q - 1. Let w(s) = -6*b(s) + 4*y(s). What is the first derivative of w(d) wrt d? -2 Let i(v) = -v**4 + 1. Let b(p) = -15*p**6 - 3*p**4 + 5*p**2 + 3. Let k = 35 + -38. Let w(g) = k*i(g) + b(g). What is the third derivative of w(l) wrt l? -1800*l**3 Let t(l) be the second derivative of l**6/10 + l**5/15 + 3*l**2 + 9*l. Let n(v) be the first derivative of t(v). Find the third derivative of n(m) wrt m. 72 Let c(g) be the second derivative of -g + 1/6*g**4 + 0*g**2 + 0*g**5 + 0 - 2/5*g**6 + 0*g**3. What is the third derivative of c(f) wrt f? -288*f Let f(c) be the third derivative of -10*c**2 + 0 - 7/30*c**6 + 0*c**4 + 0*c - 2/3*c**5 + 0*c**3. What is the third derivative of f(d) wrt d? -168 Let k be -30*1*6/(-15). Suppose -k*n + 9*n + 6 = 0. Find the third derivative of -2*p**2 + n + 49*p**6 - 43*p**6 - 2 wrt p. 720*p**3 Let f be 2/(8/12) - (2 - 3). What is the first derivative of -4*l - 4*l**f - 37 + 4*l + 24 wrt l? -16*l**3 Let m be 3/(2/(-8)*-6). Let d be (-80)/(-44) - (-8)/44*1. Find the third derivative of 218*t - m*t**3 - 218*t + d*t**2 wrt t. -12 Let h be (-3)/4 + 553/28. Suppose s = -5*r + 5*s + 54, s - h = -2*r. What is the third derivative of -r*k**2 + 8*k**2 - 7*k**2 + 9*k**5 wrt k? 540*k**2 Find the first derivative of 11*r + 136*r - 286*r - 114 wrt r. -139 Let l(b) be the second derivative of b**7/420 + b**6/360 - 2*b**4/3 - 17*b. Let z(m) be the third derivative of l(m). Find the second derivative of z(s) wrt s. 12 Let n be (-10)/95 - 78/(-19). Let f(u) be the first derivative of -5/3*u**3 - 2 + n*u + 0*u**2. Differentiate f(x) with respect to x. -10*x Let u(v) be the second derivative of 0*v**5 + 0*v**7 + 0*v**2 + 0 + 2*v + 0*v**6 + 0*v**3 - 7/12*v**4 - 1/56*v**8. Find the third derivative of u(q) wrt q. -120*q**3 Suppose 5*a - 2 = -3*b, -a - a - 4 = 0. Let u(n) = 3*n - 11. Let r be u(b). What is the derivative of r - 29*y + 27*y - 13 wrt y? -2 Let j(b) be the second derivative of 87*b**5/10 + 67*b**4/12 + b**2 + 140*b. Find the third derivative of j(c) wrt c. 1044 Let s(u) = -4*u**3 + 3*u**2 + u + 3. Let y be s(-4). Find the third derivative of -13*n**2 + 303*n**3 - y*n**3 - 4*n**4 wrt n. -96*n What is the third derivative of l**3 + 5*l**2 - 15*l + 5167*l**4 - 5471*l**4 - 3*l**2 wrt l? -7296*l + 6 Let q(u) be the second derivative of 4*u**6/15 - u**5/20 + 20*u**3/3 - u**2/2 - 10*u + 3. Find the second derivative of q(n) wrt n. 96*n**2 - 6*n What is the third derivative of 3*c**2 - c**3 + 511*c**6 + c**3 - 4*c - 193*c**6 wrt c? 38160*c**3 Suppose 16 = 2*s - 0*s - 3*w, 5*s - 29 = 2*w. Suppo
{ "pile_set_name": "DM Mathematics" }
Put -1, g, 5 in increasing order. -1, g, 5 Let d be (252/(-567))/(3/27). Let x = -14 + 43. Sort 5, -2, x, d in descending order. x, 5, -2, d Let d(z) = z**2 + 6*z + 2. Let l be d(-6). Suppose l + 2 = f. Let c = -184321 + 184376. Put c, 2, f in descending order. c, f, 2 Suppose -6*j = 20*j - 30 + 82. Sort j, 8, 4, -3. -3, j, 4, 8 Suppose -2*h - 7 = -3*f, 44*f - 40*f = -3*h - 2. Let t(w) = -w + 11. Let u be t(6). Sort 3, 2, h, u in descending order. u, 3, 2, h Suppose 2*t - 10 = -2*t - 3*i, -18 = 3*t - 2*i. Sort -5, t, 24, 18 in increasing order. -5, t, 18, 24 Let l be 1/(-29) + (-2880)/580. Sort -189, 4, 3, l in descending order. 4, 3, l, -189 Suppose -291*d + 108 = -279*d. Sort -5, 8, d, 0 in increasing order. -5, 0, 8, d Let q be 132/(-77)*84/(-8). Suppose -q*p + 7*p - 44 = 0. Sort p, -13, -1, 7 in increasing order. -13, p, -1, 7 Let n(a) = 27*a + 1535. Let j be n(-57). Put -0.008, j, 11/3 in ascending order. j, -0.008, 11/3 Let s = 2208 + -2209. Suppose -4*t = -108 + 20. Let g be 2 + -2 - (-2 - -2). Sort s, g, 4, t in decreasing order. t, 4, g, s Let i(g) = g**2 - 16*g + 20. Let c be i(15). Suppose -427 + 412 = c*r. Put 3, r, -1 in decreasing order. 3, -1, r Let x = -205.5 - -40.5. Let c = -168 - x. Let d be 2*2 - (-2 - -2). Sort d, c, 2/17, 1/6 in descending order. d, 1/6, 2/17, c Let q(r) = 69*r**2 - 763*r + 45. Let c be q(11). Let y(v) = -v - 7. Let j be y(-4). Let m be (-1 + 4)*(-4)/(-3). Put 5, c, j, m in descending order. 5, m, c, j Suppose 0 = -4*d + 12 - 100. Let t = -221 + 440. Suppose -t = -6*s - 237. Sort s, d, -1 in increasing order. d, s, -1 Let o = -1.2 - -3.2. Let x = 5.017 - 0.017. Let r = 4.2 - x. Sort 2/11, o, r in descending order. o, 2/11, r Suppose 32*s = 32 + 32. Let q = -16 - -23. Put q, -3/4, s in ascending order. -3/4, s, q Let d = 2469690107/1649335410 - -2/3233991. Let l = -2/765 - d. Sort 13, l, 0.5, 1/8 in ascending order. l, 1/8, 0.5, 13 Let d = -107.05 + 107. Let i = 0.44 - d. Let w = i + 0.31. Sort 2/9, 0.2, w in descending order. w, 2/9, 0.2 Suppose 0 = 34*p + 63904 - 64074. Suppose 0 - 5 = a. Sort p, a, 2, -24. -24, a, 2, p Suppose -142 = 20*k + 20*k + 31*k. Let d = 5 + -6. Put -4, d, k, 4 in descending order. 4, d, k, -4 Let d = 423 - 2963/7. Let n = -506.35 - -506. Put -2, d, n, -3 in ascending order. -3, -2, n, d Let u be 2 - ((-3)/21 - 252/(-392)). Let z(x) = -x**3 - 3*x**2 - x - 1. Let s be z(-2). Sort s, u, -0.1 in ascending order. s, -0.1, u Let v = -165 - -165. Let y be (7 + (-123)/18)/(1 - v). Let p be 0/(-2) - (1 - 0). Put 0.1, y, p in decreasing order. y, 0.1, p Let h(d) = -36*d**2 + 1441*d - 43. Let f be h(40). Sort 4, f, 256 in increasing order. f, 4, 256 Let u = -71 + 86. Let w = -1.26 + 113.26. Let x = 111 - w. Sort x, u, -3 in increasing order. -3, x, u Let m be (2/26)/(1/2). Let b = -69055.5 - -69056. Sort 2, -6, m, b in increasing order. -6, m, b, 2 Let y = 119 + -114. Sort 21, -11, y. -11, y, 21 Let w be 6/(-12)*(-1596)/21. Sort 23, 5, w in increasing order. 5, 23, w Let a(p) = -p - 2. Let k be a(-2). Suppose 0 = 2*h - 5*r + 5, 5*h - 3*r + 2 = -1. Suppose k*i - 4*i - 20 = h. Sort 3, i, -3 in decreasing order. 3, -3, i Let v be ((-54)/12 + 5)*0. Suppose 4*o + 9 + 11 = v. Let s(a) = -a**2 + 4*a - 2. Let y be s(4). Put y, o, -4 in increasing order. o, -4, y Let r = -56/165 - 2/33. Let c = 1.06818 - -0.03182. Put r, 5, c in decreasing order. 5, c, r Let q = 5.78 - 6.28. Let d = -523/36 - -59/4. Put q, 1/18, -19, d in descending order. d, 1/18, q, -19 Let c = 11209 + -13129. Put -4, 2, c, 5 in increasing order. c, -4, 2, 5 Let m = 3 + -4. Let o be (0 - 1)/(-156 - -148). Put m, 3/7, o, 1/2 in descending order. 1/2, 3/7, o, m Suppose 4*t - 203 = -5*n, t + n = 3*n + 67. Suppose 42 = 3*u + t. Let o be (1 - 0) + (-1 - -1). Sort o, -2, u, -1 in descending order. o, -1, -2, u Suppose 0 = 3*r - 4 + 16. Let y be (-4)/30*(-19)/(1672/110)*24. Sort 3, -100, r, y in decreasing order. y, 3, r, -100 Let b = 166839 - 500519/3. Let a = 2.4 - 0.4. Put b, a, -2, -4 in descending order. a, b, -2, -4 Suppose 5*s + 5*w - 2 - 3 = 0, 3 = -s - 5*w. Let o be 5 + (-66)/77 + 86/(-14). Let i be ((-2)/8)/((-4)/80). Sort 0.5, i, s, o in descending order. i, s, 0.5, o Let t(l) = 5*l - 119. Let k be t(24). Let d be k/(1 - 230/225). Sort d, -4, -5 in decreasing order. -4, -5, d Suppose -14*r - 30 = -4*r. Let n be (-39)/(-143) + 86/(-154). Sort 0.5, n, -3/5, r in decreasing order. 0.5, n, -3/5, r Let f = -4259 + 4256. Sort -9, -6, f, 1, -4 in decreasing order. 1, f, -4, -6, -9 Let k = 0.15 + -11.15. Let r = -19 + k. Let c = r - -21. Sort 2, 0.1, c. c, 0.1, 2 Suppose 3435 = 42*w + 2133. Sort 0, 3, -1, w in descending order. w, 3, 0, -1 Let w = -351 - -346. Suppose -4*s + 13 = 9. Put w, 53, s in descending order. 53, s, w Suppose 4 = -v - 3*v. Let k = -175/22 - -93/11. Let y = -1 - -0.8. Sort v, y, 5/4, k in ascending order. v, y, k, 5/4 Suppose -4*c + 3 = 19. Let g(b) = -2*b**3 - 18*b**2 - 36*b + 23. Let v be g(-5). Sort c, 0, -5, v in increasing order. -5, c, 0, v Suppose -18*w + 22*w = -4*a - 8, 5*w + 10 = -4*a. Put 4, w, -34 in ascending order. -34, w, 4 Suppose -3349 = -26*a - 171*a. Sort a, -3/7, -0.3, -9 in ascending order. -9, -3/7, -0.3, a Let l = 77 - 66. Let s = -0.173 - 0.027. Put l, -1, s in descending order. l, s, -1 Suppose 12*o + 77 = 125. Sort 0, 72, o, -1 in descending order. 72, o, 0, -1 Let t be (-2 - (-360)/175)/((-2)/(-10)). Let c = -1.518 - -6.518. Put -0.5, t, c, -0.3 in descending order. c, t, -0.3, -0.5 Let r = -3 - -2. Let v(p) = p**3 + 4*p**2 - 30*p - 8. Let d be v(4). Suppose d = -5*f - 5*s + 6 - 11, 4*s = -12. Put r, 4, f, -4 in decreasing order. 4, f, r, -4 Let b = -1.198 - 0.002. Let x = -7 - -0.8. Let i = b - x. Sort i, 1/5, -9. -9, 1/5, i Let h = 7101 - 7101. Sort -720, h, 2 in descending order. 2, h, -720 Suppose -413*t + 405*t = -40. Let f(d) = -2*d - 2. Let z be f(3). Let v be t/(-6)*z/10. Sort -2/7, 4, v in decreasing order. 4, v, -2/7 Suppose 0 = 113*f - 105*f - 1136. Let i = -141 + f. Put -2, i, -1 in descending order. i, -1, -2 Let x = 588.6 + -15.6. Let z = x - 630.9. Let w = z - -58. Put -0.5, w, -0.4, -2 in ascending order. -2, -0.5, -0.4, w Let n(b) = b - 6. Let p be n(8). Suppose 0 + 6 = -2*k - 2*a, p*a - 6 = k. Let u be 45/63 + -4 - (-4)/14. Sort -1, k, u in increasing order. k, u, -1 Let i(y) = -5*y**2 + 7*y + 41. Let n be i(-4). Let t be -5 + -1 - (n - -71). Suppose 6 = 5*d + 1. Sort t, d, 4, 5 in descending order. 5, 4, d, t Suppose -1311*p - 408*p = 0. Let z = -2/61 - 55/183. Put z, p, 146 in descending order. 146, p, z Suppose -6*b + b + 25 = 0. Let f be 15/(-2)*(-18)/45. Suppose -2*l + s - 1 = -l, -f*l = s + 11. Sort 13, l, b, 4 in descending order. 13, b, 4, l Suppose -k + 5*k - 32 = 0. Let o be 2/(-19 + -15) + (-205)/(-595). Put o, -10, k in decreasing order. k, o, -10 Let i = -49 - -52. Let s be (-22)/6 + 250/150. Sort 0, i, s, -3. -3, s, 0, i Let z(w) = w**3 - 59*w**2 + 12*w - 712. Let h be z(59). Put -5, -50, h, -41 in decreasing order. h, -5, -41, -50 Let i = -0.12 + -2.88. Let y = -2/11729 - 11711/105561. Let f = 0 + 1. Put i, y, f, 5/3 in ascending order. i, y, f, 5/3 Let d = 10796.7 + -10797. Sort d, 0.5, 2/9, -62. -62, d, 2/9, 0.5 Let t = -2415 - -2412. Sort 4, t, -63, -19. -63, -19, t, 4 Let u = 739.9 + -86.5. Let b = -654 + u. Sort 5, b, -0.1, 0.5 in descending order. 5, 0.5, -0.1, b Let p be 63/6*(-4)/6. Let f = p + 12. Suppose 5*c - r - 14 = -3*r, 3*c + 3 = -f*r. Sort 3/4, -1/5, c in decreasing order. c, 3/4, -1/5 Let o be -2*(10 - 3 - 4)*-1. Let v(s) = -3*s**2 + 19*s - 11. Let a be v(o). Let g be (a/10)/((-1)/2). Put 0, -3, g in increasing order. -3, 0, g Let j be 17 + (57/9 - 23). Let p = 0.37 - 0.07. Let w = -0.11 - -0.51. Sort p, j, 4, w in ascending order. p, j, w, 4 Let x = -11 - -9. Suppose 0 = -38*b + 36*b + 2, -3*l - b = -13. Suppose -4*o + 7*w - 2 = 4*w, -o + l*w = 7. Put x, 24, o in decreasing order. 24, o, x Let g(f) = -3*f + 19. Let u be g(6). Suppose -4*y + 31 - 11 = 0. Suppose -y*k - 9 = -2*v, -k = v - 4 + 3. Sort 3, k, -9, u in descending order. 3, u, k, -9 Suppose -40*z + 73*z + 70*z - 721 = 0. Sort z, -282, 4. -282, 4, z Suppose -298*s = 81*s - 61*s + 1590. Put s, -7, -45, 2 in decreasing order. 2, s, -7, -45 Let n = -1.3 + -0.555. Let x = -3
{ "pile_set_name": "DM Mathematics" }
. Determine 8*p(d) + 5*w(d). 1143*d**2 - d Let q(r) = 20*r + 22. Let v(i) be the first derivative of i + 15. Give -2*q(d) + 44*v(d). -40*d Let h(u) = -21973429*u**3 + 28143*u**2 - 28143*u. Let f(v) = -3123*v**3 + 4*v**2 - 4*v. What is -28143*f(c) + 4*h(c)? -3127*c**3 Let g(b) = -146*b**3 + b**2 - 12. Let y(j) = -145*j**3 + j**2 + j - 9. Give 3*g(i) - 4*y(i). 142*i**3 - i**2 - 4*i Let g(h) = -109088*h. Let o(k) = 10909*k. Determine 2*g(s) + 21*o(s). 10913*s Let h(n) = 67*n**3 - n**2 + 12*n - 2. Let q(g) = -g**3 - g**2 + 3*g. Give h(d) - 4*q(d). 71*d**3 + 3*d**2 - 2 Let q be 175/100 - (-12)/32*-18. Let g(w) be the second derivative of -3*w**5/20 - w**3/2 + w**2/2 + 4*w. Let c(b) = -b**3 - b. What is q*c(m) + g(m)? 2*m**3 + 2*m + 1 Let h(p) = -p**3 - p**2 + 3*p + 3. Suppose -3*r + 8*r = 10. Let o(i) = -4 - 1 + 43*i**2 + 0 - 42*i**r + 4 - i. What is -h(b) - 3*o(b)? b**3 - 2*b**2 Let o(n) = -22*n**2 - 2*n - 2. Let j(x) = x. Suppose p - 8 = -5*f, -40*p = 4*f - 44*p + 8. Give f*o(s) + 2*j(s). -22*s**2 - 2 Let t(g) = -90*g**2 - 27*g. Let v(u) be the third derivative of -7*u**5/60 - u**4/12 + 690*u**2. Determine 2*t(s) - 27*v(s). 9*s**2 Let w(r) = 5*r**3 + r**2 + 4*r + 6. Suppose 11*d = -9*d + 40. Suppose 24 + d = -2*p. Let z(x) = -11*x**3 - 2*x**2 - 9*x - 13. What is p*w(g) - 6*z(g)? g**3 - g**2 + 2*g Let x(q) = q**2 + 5*q - 5. Let f = -444 - -433. Let r(k) = -2*k**2 - 14*k + 14. What is f*x(h) - 4*r(h)? -3*h**2 + h - 1 Let d(m) = 4*m**2 + 3*m. Suppose 15 = -j - 2*c + 8, -2*j + 5*c = -31. Let q(y) be the second derivative of y**4/4 + y**3/3 + 109*y - 1. What is j*q(u) - 2*d(u)? u**2 Let j(w) = 4*w**2 - 8*w + 7. Let u(o) = -4*o**2 + 7*o - 6. Suppose 30*n = 26*n + s - 26, -8 = 3*n + 5*s. What is n*u(y) - 5*j(y)? 4*y**2 - 2*y + 1 Let a(u) = 178*u + 51. Let f(g) = -266*g - 74. What is 7*a(n) + 5*f(n)? -84*n - 13 Let b(f) = 38*f**2 + 2*f - 3. Let j = 38287 - 38284. Let c(h) = 77*h**2 + 4*h - 7. What is j*c(z) - 7*b(z)? -35*z**2 - 2*z Let h(b) = 26*b + 397. Let v(u) = 10*u + 198. Calculate -2*h(m) + 5*v(m). -2*m + 196 Let q(k) = 5*k**2 - 14*k - 1. Suppose 2*z + 18 - 9 = -3*j, 2*z - 1 = -j. Let n(t) = 6*t**2 - 15*t - 1. Calculate z*n(d) - 4*q(d). -2*d**2 + 11*d + 1 Let t(v) = 5*v**2 - 4*v. Suppose 3*r + 3 = 3*b, 5*r = b - 10 + 29. Let f be 2*3/(-12)*(2 + b). Let i(c) = 6*c**2 - 5*c. Calculate f*i(n) + 5*t(n). n**2 Let y(b) = 1. Let x be ((-2)/(-2))/((-6)/18*-1). Let z(s) = -s - 2. Let n(q) = 2*q + 5. Let v(c) = x*n(c) + 8*z(c). Calculate v(a) + 2*y(a). -2*a + 1 Let f(v) = 3*v - 83 - 2*v - 2*v + 83 - 87342*v**3 + 87343*v**3. Let g(r) = -5*r**3 + 4*r - 2. Let s be (-3)/12 - (-5)/4. What is s*g(o) + 6*f(o)? o**3 - 2*o - 2 Let r(v) = 13*v**2 + 209*v - 4. Let x(g) = -7*g**2 - 109*g + 1. Give -4*r(f) - 7*x(f). -3*f**2 - 73*f + 9 Let o(d) = -4*d**2 + d + 3. Let h(t) = 4*t**2 - t - 4. Suppose -4*j - 14 = 2*l, 8*j - 7*l + 5 = 4*j. Determine j*h(a) - 4*o(a). 4*a**2 - a Let m(j) = -5*j**3 + 164*j**2 - j - 16. Let h(o) = 15*o**3 - 491*o**2 + 3*o + 44. Calculate 4*h(c) + 11*m(c). 5*c**3 - 160*c**2 + c Let m(t) = 325037*t**3 - 1118*t**2 - 1677*t + 559. Let q(a) = -1165*a**3 + 4*a**2 + 6*a - 2. What is -2*m(y) - 559*q(y)? 1161*y**3 Let d(u) = -u**2 + u - 1. Suppose 0 = 47*p - 268*p - 1326. Let r(v) = 2*v**3 + v**2 + 5*v - 6. Determine p*d(x) + r(x). 2*x**3 + 7*x**2 - x Let g be (4/5)/(188/235). Let b(k) = -k - 5. Let v(s) = -s. Calculate g*b(t) - 3*v(t). 2*t - 5 Let s(v) = 9*v**2 + 5. Let u be 6/4*(-1096)/(-6). Let d = u + -269. Let r(i) = -2 - 2*i**2 - 2*i**2 + 0*i**2. What is d*r(b) + 2*s(b)? -2*b**2 Let i(c) = 9*c - 20. Let a(p) = -6*p + 14. Let r(z) = 7*a(z) + 5*i(z). Let n(m) = -2*m - 7 - 2*m + 13*m + 1. Calculate -6*n(b) + 17*r(b). -3*b + 2 Let m(l) = l + 2 - 2 - 1. Let u(k) = -k**2 - 7*k + 6. Let o = 25311 - 25317. Determine o*m(x) - u(x). x**2 + x Let q(p) = 492*p - 3 + 472*p + 1 - 972*p. Let f(h) be the second derivative of -7*h**3/6 - h**2 + h. Give -7*f(d) + 6*q(d). d + 2 Let b(x) be the second derivative of x**3/2 + x**2 - 2*x - 97. Let k(g) = -6*g - 5. Determine -13*b(u) - 6*k(u). -3*u + 4 Let w(o) = -o**2 + 28*o - 116. Let b be w(23). Let d(k) = k - 18. Let g be d(12). Let y(v) = 3*v + 7. Let s(u) = -u - 1. Calculate b*y(j) + g*s(j). 3*j - 1 Let p(m) be the first derivative of 3*m**2 + 10*m - 7046. Let h(b) = -7*b - 11. Determine -3*h(t) - 4*p(t). -3*t - 7 Let a(w) = 8*w + 5. Let t be (21 - 78/4)/((-3)/16). Let q(u) = 12*u + 8. Give t*a(r) + 5*q(r). -4*r Let z(m) = 9*m + 15. Let a be 9*(-18)/648*(-5)/(30/16). Let o(l) be the second derivative of 0 - a*l**3 + 6*l - 7/2*l**2. Give -13*o(f) - 6*z(f). -2*f + 1 Let c(g) = 2*g**2 - 4*g + 7. Let d = -22115 - -22110. Let p(l) = -3*l**2 + 2*l - 7. Let y(f) = f - 1. Let k(z) = p(z) + 4*y(z). Calculate d*k(i) - 8*c(i). -i**2 + 2*i - 1 Let h(n) = 3*n**3 - 3*n**2 - 3*n - 3. Let g(t) = 6*t**3 - 5*t**2 - 5*t - 5. Suppose 0 = 2*d + 5*s - 20, 39*s = 3*d + 36*s + 33. Calculate d*h(j) + 3*g(j). 3*j**3 Let q(g) be the second derivative of -g**4/2 - 17*g**2/2 + 80*g - 2. Let m(a) = -7*a**2 - 17. What is 5*m(t) - 6*q(t)? t**2 + 17 Let w(p) = -13*p - 3. Let r(a) = a. Let q(g) = -2*r(g) - w(g). Let t be (-72)/(-24 + -48) + -41 + 0. Let m(f) = -144*f - 40. Calculate t*q(d) - 3*m(d). -8*d Let s(g) = -54*g + 1882. Let i(h) = 13*h - 478. Determine 9*i(u) + 2*s(u). 9*u - 538 Let a(q) = -8*q + 2. Let y(w) = -3*w**2 + 102*w - 21. Let x(m) = 13*a(m) + y(m). Let i(n) = 4*n**2 + n - 4. Give -3*i(p) - 2*x(p). -6*p**2 + p + 2 Let y(a) = -15*a**2 + 5*a. Suppose 1 + 20 = -3*g. Let s(h) = 32*h + 6*h - 31*h - 22*h**2. Calculate g*y(p) + 5*s(p). -5*p**2 Let m(a) = -7*a**3 + 12*a**2 + 283*a - 10. Let j(i) = 8*i**3 - 15*i**2 - 284*i + 12. Determine 5*j(x) + 6*m(x). -2*x**3 - 3*x**2 + 278*x Let u(i) be the second derivative of 11*i**3/2 + 17*i**2/2 + 445*i. Let t(w) = 1. Let p(b) = 4*b - 10. Let j(l) = p(l) + 12*t(l). Calculate -51*j(g) + 6*u(g). -6*g Let b(p) = p**2 + 34*p - 546. Let c be b(12). Let t(f) = -4*f - 10. Let h(u) = 23*u + 60. Give c*h(d) + 34*t(d). 2*d + 20 Let q(c) = -6*c - 9. Let o(b) = 214*b - 203*b + 12 - 2 + 4 + 5. What is 6*o(k) + 13*q(k)? -12*k - 3 Let l(a) = -6*a - 1. Let h(y) = 52*y - 2. Calculate -3*h(o) - 24*l(o). -12*o + 30 Let h(u) be the third derivative of -u**6/60 - u**5/60 + u**4/12 - 1166*u**2. Let y(v) = -6*v**3 - 2*v**2 + 6*v. Suppose 9 = 8*b - 23. Give b*y(j) - 11*h(j). -2*j**3 + 3*j**2 + 2*j Let y(s) = -49720*s**2 + 64*s + 80. Let b(q) = 9944*q**2 - 12*q - 15. Determine 16*b(c) + 3*y(c). 9944*c**2 Suppose 16*a - 13*a = 6. Suppose 2*d + 5*f = 14, a*f - 4 = -0. Let t(i) = -7 + 8 - d. Let j(x) = -2*x. Give -j(k) - t(k). 2*k + 1 Let j(s) = -4*s - 513. Let y(u) = -3*u + 2. Determine -j(f) + 2*y(f). -2*f + 517 Let y(h) = 37*h + 449. Let r(s) = -23*s - 447. Give -3*r(x) - 2*y(x). -5*x + 443 Let j(q) = -12*q + 2. Let l(f) = 48*f - 518. Let g(m) = 12*m - 138. Let a(k) = -15*g(k) + 4*l(k). What is 2*a(h) + 3*j(h)? -12*h + 2 Let d(b) = 5*b - 5*b + 7*b - 6*b + 8. Let f(s) = 9. Let v(h) = -6. Let p(w) = 3*f(w) + 5*v(w). Give -2*d(y) - 7*p(y). -2*y + 5 Let b(u) = 37*u - 218. Let s(q) = -12*q + 70. What is 2*b(i) + 7*s(i)? -10*i + 54 Let k(m) = -99*m**3 - 18*m**2 - 78*m - 9. Let x(j) = 25*j**3 + 4*j**2 + 19*j + 2. What is -2*k(z) - 9*x(z)? -27*z**3 - 15*z Suppose f + 5*l = 69 - 45, 0 = -3*l + 15. Let q(k) = -10*k - 5. Let w(g) = -3. Let m(v) = 4. Let z(s) = 4*m(s) + 5*w(s). Give f*q(b) - 5*z(b). 10*b Suppose 8*o + 5 = 4*o - 3*t, 0 = 5*t - 5. Let b(i) = -3*i**2 - 1215 - 1216 - 1214 - 2*i + 5*i**2 + 3647. Let z(w) = 4*w**2 - 5*w + 5. Give o*z(k) + 5*b(k). 2*k**2 Let u(k) = -2*k**3 - 11*k**2 + 7*k + 136. Let d(c) = -c**3 - 6*c**2 + 3*c + 68. Determine 7*d(q) - 3*u(q). -q**3 - 9*q**2 + 68 Let l(b) = 7*b**2 - 1273*b - 5. Let r(j) = 4*j**2 - 636*j - 3. Give 3*l(d) - 5*r(d). d**2 - 639*d Suppose 27 = -9*g - 18. Suppose -16*d = -d - 60. Let x(w) = w**2 + 6 - w - 2*w - w - 3*w**2. Let u(s) = -3*s**2 - 5*s + 7. What is d*u(r) + g*x(r)? -2*r**2 - 2 Let s(g) = -g**3 - g**2 - g - 1. Let y(v) be the second derivative of -3*v**5/20 - v**4/12 - v**3/6 - v**2/2 - 344*v. Give -s(o) + y(o). -2*o**3 Let g(w) = 2*w - 7. Suppose -314*v + 70*v = 646*v - 12460. Let b be ((-12)/(-14))/((-1)/7). Let z(y) = -2 + 0*y + y - 1. Give b*g(f) + v*z(f). 2*f Le
{ "pile_set_name": "DM Mathematics" }
? False Let m(u) = u**2 + 5*u + 22. Is 12 a factor of m(-8)? False Let k be (-12)/3 - (0 + -4). Suppose k = r - 0*r - 46. Is r a multiple of 12? False Suppose -2*m - 3*m = -5*a - 100, -5*a + 53 = 4*m. Is m a multiple of 17? True Let t(u) = 3*u + 2. Let a(c) = c - 1. Let q(b) = -2*a(b) - 2*t(b). Is q(-7) a multiple of 17? False Is 12 a factor of 0 - (-1 + -81 - 0)? False Suppose 3*p = p. Suppose -5*h + 172 + 8 = p. Is h a multiple of 18? True Let m = -114 + 216. Does 11 divide m? False Let s = 10 + -8. Suppose -5*v - 13 = x - 2*x, 3*x - s*v = 52. Is 6 a factor of x? True Let k = -10 - -3. Let n = k + 9. Does 10 divide n/(-6)*0 + 24? False Let s(f) = 2*f**3 - 3*f**2 - 3*f - 1. Let n be s(4). Let j = -31 + n. Suppose 2*r - r = j. Is 17 a factor of r? False Let a(l) = -l**2 - 18*l - 4. Is 17 a factor of a(-6)? True Let j(u) = -5*u + 7. Let p be j(-6). Let b be (-1 + p)/(4/4). Suppose 0*i - 4*i = -b. Does 9 divide i? True Suppose -3*n + 2*n + 6 = c, -5*n + 20 = -5*c. Let o be (0/(-3) - 4) + c. Let i = 33 + o. Is 10 a factor of i? True Suppose 0 = -0*h - 2*h. Suppose -26 + 11 = 4*a + u, h = 4*u + 12. Let l = a + 30. Is 8 a factor of l? False Suppose -7*i + 339 - 73 = 0. Is i a multiple of 19? True Let l be 2334/21 - (-2)/(-14). Suppose 0 = 5*o + 2*y - l, 84 + 18 = 5*o - y. Is o a multiple of 21? True Let p(a) = 2*a**3 + 4*a**2 + 7*a - 1. Let j(z) = 2*z**3 + 5*z**2 + 8*z - 2. Let o(f) = 5*j(f) - 6*p(f). Is 10 a factor of o(-2)? True Suppose -5*m = 4*p - 26, m - 2*p + 6 = -0*p. Does 12 divide (36 - m)*(-1)/(-2)? False Let c be 1 - (-4)/(-4 - 0). Let y be 1 - (-1 + 1 + -17). Is 20 a factor of (y - (-4)/2) + c? True Suppose -i - 2*i = 27. Let c = -2 - i. Does 7 divide c? True Let x(q) = 4*q**2 - q - 2. Let c be x(-4). Suppose 2*p - p = 20. Suppose -c = -2*l - p. Does 10 divide l? False Suppose 0 = -o + 4*j + 22, 12 = 4*j + 4. Is o a multiple of 28? False Suppose -436 = -7*u + 3*u. Let k = u - 63. Is 20 a factor of k? False Let u = -120 - -279. Is u a multiple of 17? False Suppose -904 = -16*u + 56. Does 10 divide u? True Suppose -z - z = -12. Suppose -8*l = -z*l - 72. Is l a multiple of 9? True Suppose -4*o - o - 4*a = -30, o + 3 = a. Suppose o*w - 60 = -2*w. Is 7 a factor of w? False Let v(r) = 93*r**2 + 2*r + 1. Let o be v(-1). Let n = o + -52. Does 14 divide n? False Suppose 8 = -l + 125. Is l a multiple of 13? True Does 3 divide (-10)/(2/(-10)*2)? False Suppose 7*p - 823 - 80 = 0. Is 14 a factor of p? False Let b(f) = 5*f**2 + 13*f + 17. Is b(-5) a multiple of 11? True Let w = 37 + 9. Is (-1)/(w/48 + -1) a multiple of 8? True Suppose c = 4*m + 56, 2*m = -5*c - 47 + 283. Is 12 a factor of c? True Let v = -384 - -664. Is v a multiple of 38? False Let s(z) = 32*z. Suppose -3 - 1 = -4*d. Is s(d) a multiple of 14? False Suppose -2*b - 6 = -4*q, 0 = -5*b - 3*q - 2*q + 45. Suppose 2*v + 3*v = 0. Let n = v + b. Does 4 divide n? False Let j = -148 + 220. Does 13 divide j? False Let v(r) = r**2 - 13*r - 14. Does 34 divide v(16)? True Suppose 4 - 7 = 3*o - 2*q, -5*o - 5*q - 30 = 0. Does 14 divide 3 + (o + 3 - -21)? False Let v(c) = -c**2 - 8*c - 8. Let n be v(-6). Suppose -n*b + 96 = -2*b. Does 13 divide b? False Let l = -7 + -20. Let x = -15 - l. Does 12 divide x? True Suppose -2*v + 0 - 10 = 0. Let u = v + 8. Does 2 divide u? False Suppose -y - 87 = -4*y. Suppose -3*i + y = 4*b, b + 3*b - 17 = i. Let d = b - -7. Is d a multiple of 6? True Let s(g) = -g**3 + 3*g**2 - g - 2. Let c be s(2). Let m = c - -1. Suppose -12 = -p - m. Is p a multiple of 6? False Let m(d) = -d**2 - 4*d + 2. Is m(-4) even? True Suppose 6*d - 3*d = 15, -d = w - 120. Suppose 4*c - 4*h = -7*h + 123, 0 = -4*c + 5*h + w. Is 22 a factor of c? False Let x be (-8)/20 - 24/(-10). Let m(a) = 3*a**3 + 2*a**2 - a - 1. Does 19 divide m(x)? False Let q be (1/(-2))/(3/(-48)). Does 8 divide 186/q + (-2)/8? False Let l = 67 + 1. Does 22 divide l? False Suppose 18 = 5*h + 2*d, 4*d + 8 = -0*h + h. Suppose -36 = -2*m - h*q, 4*q - 2 = 6. Is m a multiple of 4? False Suppose 3*j = -g + 190 - 65, 2*j + 5*g - 105 = 0. Let z = -14 + j. Is z a multiple of 13? True Let k(v) = v**3 - 7*v**2 - 6*v + 4. Is k(8) a multiple of 10? True Let p be (-1 + 8 + -2)*1. Let w = p - 2. Suppose 18 = -f + w*f. Is 9 a factor of f? True Is (64/(-12))/(-4)*18 a multiple of 21? False Let a = 72 + -51. Is a a multiple of 7? True Let d be ((-8)/5)/(2/(-10)). Suppose 4*r = 5*r - 8. Is 5 a factor of 2/d - (-78)/r? True Suppose -q = 2*q + w - 17, -5*q + 5*w - 5 = 0. Is (-2)/(-4)*56/q even? False Suppose -2 = -4*z + 54. Let q = -1 + z. Does 13 divide q? True Let o(p) = 22*p**2 + 2*p + 1. Does 7 divide o(-1)? True Suppose -2*a + 7 = -2*o - 1, -4*a = -3*o - 19. Suppose 0*l - 5*l = -25, 3*w = 3*l + 57. Suppose 3*q = a*q - w. Is q a multiple of 3? True Suppose -30 + 115 = 5*u. Does 17 divide u? True Let x be (3 - -1)/(-4)*-4. Suppose 2*a = x*a - 80. Is 15 a factor of a? False Let b = 43 + -4. Does 5 divide b? False Let w = -22 + 98. Suppose p - 17 = v, p + 2*v + w = 5*p. Is 7 a factor of p? True Let c(q) = 2*q**2 + 3*q**3 + 2*q**3 - 3*q**2 - 2 + 3*q - 4*q**3. Is 4 a factor of c(2)? True Suppose -o = -5*d + 421, 5*o - 89 = -d + 10*o. Is 28 a factor of d? True Suppose 2*a = -0*a + 80. Does 11 divide a? False Let k be 9 - (8/4 - -1). Is 11 a factor of (-12)/((-9)/k - -1)? False Let r = -1 + 19. Is 3 a factor of r? True Let m(r) = -1 + r**2 - r**3 + 2 - 3. Suppose 7 = -w - w - p, 4*w - 3*p = 1. Is m(w) a multiple of 7? False Let h = 3 + 0. Suppose c = h*c. Suppose -5*l + c*l + 120 = 0. Does 12 divide l? True Suppose 25 = -3*w - 5*q, 4*q = 14 - 34. Let b(l) = 6*l**3 - 6*l - 13. Let s(i) = -5*i**3 + 5*i + 12. Let h(n) = 4*b(n) + 5*s(n). Is h(w) a multiple of 4? True Suppose 2 = -2*i + 5*o + 6, -2*o - 8 = -4*i. Suppose -2*x + 2*m + 106 = i*x, -x = 5*m - 10. Suppose -4*b + 115 = -5*h, 0*h - x = -5*h. Does 18 divide b? False Let r be -1 - (-5)/((-5)/(-2)). Is 12 a factor of r/(2/34 + 0)? False Let s = -14 - -21. Is 4 a factor of 9 + 0 + (s - 4)? True Is 17 a factor of (-102)/(-21)*((-50)/(-5) + -3)? True Let v(z) = -30*z + 8. Does 32 divide v(-4)? True Let w = -26 + 10. Suppose -145 = -2*t - 3*t. Let l = t + w. Is 13 a factor of l? True Let t(w) = -2*w**3 + w**2 + w - 2. Is t(-2) a multiple of 11? False Let z be (-2)/(2/11 - 0). Let c be -38*(1 - (-3)/(-2)). Let r = z + c. Is 8 a factor of r? True Let y be 1 + 3/(-4 - -1). Suppose d + d - 168 = y. Let x = d - 51. Does 12 divide x? False Suppose -c - 3 = -l - 0*c, -4*l = 4*c - 20. Let v(o) = o**3 - 3*o**2 - 3*o + 3. Let j be v(3). Is 3 a factor of 18/l*(-8)/j? True Let r = 42 + -15. Does 9 divide r? True Let x(s) = 0*s - 4*s + 1 + 3*s. Let k be x(-6). Is (4 - k)/(3/(-14)) a multiple of 14? True Let i(l) = -l**3 + 13*l**2 - 24*l + 10. Is 23 a factor of i(8)? True Let p(f) = -f + 8. Let m be p(9). Let a(x) = -5*x**3 + 3*x**2 - 6*x + 4. Let q(i) = -i**3 - i + 1. Let y(c) = m*a(c) + 6*q(c). Is y(-3) even? True Let z = 5 + 25. Does 15 divide z? True Let h(d) = -6*d + 3. Let f be h(-6). Suppose -243 = -5*m + 3*o, -2*m + m = -3*o - f. Is m a multiple of 17? True Let p = 9 - 7. Let b(f) = 6*f**3 - 3*f**2 + 3*f. Is 14 a factor of b(p)? True Suppose 4*x - 12 = x. Suppose 3*a + 3 = 0, a + 1 = w - x. Suppose 3*c - w*c = -10. Is c a multiple of 4? False Suppose -3 = -4*g + 77. Suppose 0 = g*u - 22*u + 16. Is 8 a factor of u? True Let v(w) = w - w**2 - 2 + 3 + 0*w. Let d be v(0). Suppose -b = 2*y - 8, 19 = 5*y + b - d. Is y a multiple of 2? True Let l be 2/(-4)*-4 + -1. Let q be (4/(8/(-6)))/l. Does 8 divide (-49)/q + 2/(-6)? True Does 12 divide (8/10)/((-3)/(-180))? True Suppose 0 = 2*o - 6 + 4. Let k(f) = 11*f. Does 11 divide k(o)? True Does 16 divide ((-95)/10)/((-2)/8)? False Suppose 0 = 9*a - 14*a + 50. Is 6 a factor of a? False Does 10 divide 1 - (1 + 172/(-4)) - 2? False Suppose -l = -x - 65, -4*l = x - 139 - 116. Is l a multiple of 16? True Let z(a) = -a**3 - 3*a**2 - 2*a + 3. Let y be z(-3). Is 20 - y/3 - -2 a multiple of 11? False Suppose -o + 12 = o. Suppose 5*u - 18 = 5*j + 2, 3*u - j - o = 0. Is ((-1)/u)/((-1)/7) a multiple of 7? True Does 40 divide 1810/15 - 4/6? True Let m be (2/4)/(1/46). Let f = 41 - m. Does 9 divide f? True Suppose -c = -2*c + 1. Does 5 divide (10/8)/(c/4)? True Let m(o) = 2*o**
{ "pile_set_name": "DM Mathematics" }
00007 Let p = -1125 + 572. Let d = p + 591.3. What is d rounded to the nearest ten? 40 Let a = -0.074 - 9.326. Let l = -0.36 - a. What is l rounded to 0 decimal places? 9 Let n = -0.811259 - -0.811. What is n rounded to 4 dps? -0.0003 Let x = 8.24 - 8. Let t = -145.04 + 141. Let j = t + x. What is j rounded to the nearest integer? -4 Let m(p) = -p**3 + 6*p**2 - 2*p + 8. Let h be m(6). Let j(v) = v + 8. Let u be j(h). Let t(f) = -264999*f - 4. Let k be t(u). Round k to the nearest 100000. -1100000 Let j = -5.6713 + 5.425. Let v = j + -0.0047. Let r = -0.039 + v. Round r to 1 decimal place. -0.3 Let c = 0.00943 + 0.59073. Let d = 0.6 - c. Round d to 4 dps. -0.0002 Let u = -49.65924 + -0.30276. Let y = u - -50. What is y rounded to two decimal places? 0.04 Let j = 0.43 + 0. Let w = j + 0.02. Let d = w + -0.44958. What is d rounded to four decimal places? 0.0004 Let k = -44388538 + 26258050. Let v = 11430488 + k. Round v to the nearest 1000000. -7000000 Let q = -3648.000002039 - -3648. Round q to 7 decimal places. -0.000002 Let a = 28.1 - 26. Let x = -4787 - -4789.0997. Let d = a - x. What is d rounded to 4 dps? 0.0003 Let c = 0.093 - 1.493. Let w = c + 26. Round w to 0 decimal places. 25 Let d(l) = l - 12. Let c be d(6). Let w be (1/(-1))/(c/18). Suppose 2*p = 4*x + w*p + 10801, 0 = 4*x + 3*p + 10803. Round x to the nearest one thousand. -3000 Let s = -47 + 131. Let g = -67.5 + s. What is g rounded to 0 decimal places? 17 Let m be -750*(7 + 105242/(-6)). Round m to the nearest one million. 13000000 Let o = 86.978 + -87. Let h = -0.0012 - o. Round h to two decimal places. 0.02 Let r = -1.67 - -1.7. Let g = -0.029982 + r. What is g rounded to five decimal places? 0.00002 Let l = 51513846.0000132 - 51513916. Let z = l + 70. What is z rounded to 6 dps? 0.000013 Let p = 1.127 - -2.787. Round p to the nearest integer. 4 Let r = -17 + 63. Let i = r - 45.99981. Round i to five decimal places. 0.00019 Let k = -74.291 + 0.091. Let y = 51 - 135. Let g = y - k. What is g rounded to the nearest integer? -10 Let v = 867.637 - 869. What is v rounded to 1 dp? -1.4 Let n = 9.7896337 - 9.79. What is n rounded to five decimal places? -0.00037 Suppose -13*q + 46871135 = -8*q. Suppose 0 = -6*f + 6345773 + q. What is f rounded to the nearest 100000? 2600000 Let r = 51 + -53. Let f be 377999/r - 1 - (-3)/6. What is f rounded to the nearest 10000? -190000 Let o = -1589139 - -2445139. What is o rounded to the nearest 100000? 900000 Let s = 74.358 + -80.98. Let g = -31.6 - -24.8. Let m = s - g. What is m rounded to two decimal places? 0.18 Let n = -401.24138 - 0.05862. What is n rounded to the nearest 10? -400 Let u = 14.9884 - -2.0121. Let s = 15.6 - -1.4. Let k = u - s. Round k to 3 decimal places. 0.001 Let a = 9038 + -1948. What is a rounded to the nearest one thousand? 7000 Let s = -222 - -112. Let u = s - -109.9999998. Round u to six dps. 0 Let w(s) be the third derivative of s**6/120 - s**5/6 + s**4/3 - 3*s**3/2 - 3*s**2. Let x be w(7). Round x to the nearest one thousand. 0 Suppose p - 5 = -0*p. Suppose 0 = -p*k - 0*k + 26280. Suppose 5*x - 3*f = -k, -x - 2*f = 2*x + 3146. What is x rounded to the nearest one hundred? -1100 Let d = 3822 - 850. Round d to the nearest 100. 3000 Let t = 1120 - 928.1. What is t rounded to the nearest ten? 190 Suppose 0*k + 149400 = -9*k. What is k rounded to the nearest 1000? -17000 Let h = -0.06262 + 0.03161. What is h rounded to three decimal places? -0.031 Let m(o) = -o + 2. Let y be m(1). Suppose y = b - 3. Let s be (4 - b) + (-2109 - 1). Round s to the nearest one hundred. -2100 Let n = -0.751246 + 0.7452. What is n rounded to 4 dps? -0.006 Let g = -131.247 + 67.19. Let i = 64 + g. Round i to 2 decimal places. -0.06 Let z = 0.003 - 60.003. Let v = 59.999914 + z. Round v to five decimal places. -0.00009 Suppose 2*x - 22348 - 2852 = 0. What is x rounded to the nearest one thousand? 13000 Let d = 1.998 - 0.619. Round d to zero dps. 1 Suppose 5*s = 5*y - 563685, 0 = 3*y + s - 143896 - 194327. Round y to the nearest 10000. 110000 Let w = -39083210.33240539215 + 623.33240499215. Let d = -39082598 - w. Let s = d + 11. Round s to seven decimal places. 0.0000004 Suppose 175*k = 182*k - 11767. What is k rounded to the nearest 1000? 2000 Let p = -0.051 + -0.369. Let m = p - -29.92. Let b = m - 31. What is b rounded to the nearest integer? -2 Suppose -2 = 3*v + 31. Let x = -13 - v. Let p be 178*(-20)/8*x. Round p to the nearest 100. 900 Let q = -1225.575 + 1237. Round q to zero decimal places. 11 Let x = -18 + 11. Let p = -2 - x. Suppose 3704 = -p*d - 3796. Round d to the nearest one thousand. -2000 Let h(b) = 15*b - 45. Let u be h(6). Suppose -418400 = -u*f + 37*f. Round f to the nearest 10000. 50000 Let s(d) = 3*d**3 - 5*d**2 + 15*d + 13. Let t be s(9). Round t to the nearest 1000. 2000 Let z = -1404145 - -1419741.13. Let i = 15597.32999908 - z. Let p = i + -1.2. What is p rounded to seven dps? -0.0000009 Let s = -1.3331 - 56.5719. Let h = s - -58. What is h rounded to 2 decimal places? 0.1 Suppose 3*v - 3*p = 330, -4*v + 145 + 330 = 3*p. Let i be (v/10 - -1)*28. What is i rounded to the nearest 100? 400 Suppose -s = -9*q + 4*q - 174698, 5*s = 3*q + 873490. Suppose -5*a + s + 650302 = 0. Round a to the nearest 10000. 170000 Let s = -2.048 - -0.108. Let d = s + 0.04. Round d to the nearest integer. -2 Let d = 750.30907 - 839.308904. Let h = -89 - d. Round h to five dps. -0.00017 Suppose -5*u = -2*u - 6. Let a be 1160009/4 - 1/4. Suppose -f - g = -2*g + a, -g = -u. What is f rounded to the nearest 100000? -300000 Let s(g) = -2*g + 16. Let y(u) = u**2 - 3*u - 3. Let b be y(5). Let d be s(b). Suppose -t + 77006 = -d*z, t = -z + 4*z + 77009. Round t to the nearest 10000. 80000 Let z be (0 - (-20)/(-15))*-3. Suppose -5*r - 15 = -5*v, -4*v + z*r = -2*v - 2. Suppose -v*f - 1660 = -3*f. What is f rounded to the nearest 100? -800 Let h = -560 + 559.999166. What is h rounded to 4 decimal places? -0.0008 Let q = 891 - 891.667. What is q rounded to one decimal place? -0.7 Let b = 0.077 + -0.07152. What is b rounded to 4 dps? 0.0055 Let n = 1023801 - 249801. Round n to the nearest one hundred thousand. 800000 Let q = 90 + 34. Let m = -124.0000007 + q. What is m rounded to 7 decimal places? -0.0000007 Let w = -1177 - -1238.1. What is w rounded to the nearest 10? 60 Let w = 790 - 1086.1. What is w rounded to the nearest ten? -300 Let k = 0.0367 - 0.0366865. Round k to 4 dps. 0 Let d = 4678158.5999924 + -4678160. Let h = 1.4 + d. What is h rounded to six decimal places? -0.000008 Suppose 4*u - 62300 = -x, -4*u - 11753 - 175147 = -3*x. What is x rounded to the nearest ten thousand? 60000 Let p = 0.031202 + -0.0302. Round p to 4 decimal places. 0.001 Let r = -184.19995886 - -184.2. What is r rounded to 6 decimal places? 0.000041 Let b = 2.443 + -2.4428619. What is b rounded to 5 decimal places? 0.00014 Let s = -25.76 - 35.72. Let a = -55.338 - s. Let r = -0.042 + a. Round r to the nearest integer. 6 Let y = -123393868 - -123393966.000039. Let f = 98 - y. Round f to 5 decimal places. -0.00004 Let o = 4974 + -5940.1. Round o to the nearest ten. -970 Let h(q) = 2780*q**3 - 9*q**2 + q - 15. Let w be 14/35*(-20 + 0). Let c be h(w). Let s = -3183959 - c. Round s to the nearest one hundred thousand. -1800000 Let s(r) = 4802*r**3 + 15*r**2 - 16. Suppose 5*x - 5*b - 11 = 9, -2 = -4*x - 3*b. Suppose -24 = -4*u + x*u. Let t be s(u). Round t to the nearest one million. 8000000 Let j = -155 + -596. Let s = 755.51 + j. Round s to 1 decimal place. 4.5 Let j(b) = 61686*b - 46043*b + 64357*b. Suppose 4 = -2*c + c. Let f be j(c). What is f rounded to the nearest 100000? -300000 Let n = -330143 - -754143. Suppose -2*x + x + n = 0. Round x to the nearest 100000. 400000 Let z = 68.60456623 + -64.6045672. Let y = z + -4. What is y rounded to 7 decimal places? -0.000001 Let c = -2505 - -2553.99. Let r = c - 50. What is r rounded to 1 dp? -1 Let l(b) = b**2 + 4*b + 3. Let h be l(-4). Let k be (h/9)/((-1)/(-15)). Suppose 3*m = x + 39009, -k*x - 77994 = -3*x + 2*m. Round x to the nearest ten thousand. -40000 Let y = 195.54784 - 195.07783865. Let j = 0.47 - y. Round j to seven dps. -0.0000014 Let x(j) = 6560201*j**2 - 2*j + 1. Let v be x(-1). Let o = -4639796 - v. What is o round
{ "pile_set_name": "DM Mathematics" }
- d**6/180 - 4*d**5/45 + d**4/3 - 26*d**2. Factor p(z). 2*z*(z - 2)**2*(z + 3)/3 Let m be 1*-1*-1 - (-345)/(-350). Let a(u) be the second derivative of -m*u**5 + 1/7*u**2 + 2*u + 0 - 1/42*u**4 + 1/21*u**3. Find j such that a(j) = 0. -1, 1 Let l(w) be the second derivative of w**6/195 + 4*w**5/65 + 4*w**4/13 + 32*w**3/39 + 16*w**2/13 - 35*w. Let l(g) = 0. Calculate g. -2 Let m(f) = f**4 - f**3 + f**2 + f + 1. Let n(i) = 2*i**4 - 8*i**3 - 5*i**2 - i + 3. Let u(c) = 6*m(c) - 2*n(c). Solve u(o) = 0 for o. -2, -1, 0 Let o(i) be the third derivative of -i**7/630 - 3*i**2. Solve o(l) = 0. 0 Let u = 13 - 11. Let b(z) be the third derivative of 0 + 1/30*z**5 - u*z**2 + 0*z + 0*z**3 - 1/60*z**6 + 0*z**4. Determine o so that b(o) = 0. 0, 1 Let y(c) be the first derivative of 5*c**6/6 - 15*c**4/2 - 40*c**3/3 - 15*c**2/2 + 21. Let y(t) = 0. What is t? -1, 0, 3 Let m(n) = -n**4 - n**3 + n**2 - 1. Let c(s) = 16*s**4 - 28*s**3 + 12*s**2 + 4. Let a(k) = -c(k) - 4*m(k). Determine b so that a(b) = 0. 0, 2/3, 2 Let z(o) be the first derivative of o**5/300 + o**4/60 + o**3/30 + o**2 - 3. Let m(x) be the second derivative of z(x). Let m(d) = 0. What is d? -1 Let u(k) = -k**2. Let p(r) = 5*r**2 - 12*r + 36. Let l(b) = -p(b) - 4*u(b). Factor l(n). -(n - 6)**2 Find i, given that 6*i**2 + 24*i**3 + 27*i**3 - 49*i**3 - 8 = 0. -2, 1 Suppose -3/4*y**2 - 3 + 3*y = 0. Calculate y. 2 Suppose -4*o + 24 = 12. Factor -3/2*m - 1/2*m**o - 3/2*m**2 - 1/2. -(m + 1)**3/2 Suppose -14*u + 22 + 6 = 0. Let y(t) be the third derivative of 1/360*t**6 + 0 + 0*t - 1/72*t**4 + 0*t**5 + 0*t**3 - 3*t**u. Let y(a) = 0. Calculate a. -1, 0, 1 Let a(n) be the first derivative of -1/4*n**4 - 2 + 2*n + 0*n**2 - n**3. Let u(b) = 2*b**3 + 4*b**2 - 3. Let s(h) = 3*a(h) + 2*u(h). Factor s(p). p**2*(p - 1) Let p(m) be the first derivative of -m**6/360 + m**5/120 - m**3 - 2. Let z(y) be the third derivative of p(y). Suppose z(b) = 0. What is b? 0, 1 Let c(z) be the first derivative of z**4/36 - z**3/18 + 9*z + 5. Let y(u) be the first derivative of c(u). Factor y(q). q*(q - 1)/3 Factor -2/5*c**2 - 6/5*c - 4/5. -2*(c + 1)*(c + 2)/5 Let t be (((-6)/9)/(-2) - -1) + -1. Factor 0 - 1/3*r**3 + t*r + 0*r**2. -r*(r - 1)*(r + 1)/3 Suppose -4*f = -0*f + 20. Let l = 9 + f. Factor 10*q - 7 + 20*q**3 + 2 - 10*q**l + 2*q**5 - 20*q**2 + 3. 2*(q - 1)**5 Let w(b) be the first derivative of 2*b**3/21 + 3*b**2/7 + 4*b/7 + 13. Let w(x) = 0. Calculate x. -2, -1 Let p = 94 - 90. Let w(r) be the first derivative of -2/3*r**2 + 0*r - 1/6*r**p + 1 + 2/3*r**3. Suppose w(a) = 0. What is a? 0, 1, 2 Let r(v) be the first derivative of v**8/840 + v**7/105 + v**6/30 + v**5/15 + v**4/12 + 5*v**3/3 - 8. Let n(k) be the third derivative of r(k). Factor n(o). 2*(o + 1)**4 Let n(u) = 5*u**3 + 2*u**2 - 6*u + 3. Let a be n(1). Factor 75/7*o**3 + 12*o - 24/7 + 3/7*o**5 - 24/7*o**a - 114/7*o**2. 3*(o - 2)**3*(o - 1)**2/7 Factor -219*k - 3*k**2 + k**2 + k**2 - 144 + 243*k. -(k - 12)**2 Let n(m) be the second derivative of -1/60*m**6 + 0 - 1/20*m**5 + 0*m**4 + m + 0*m**3 + 1/28*m**7 + 0*m**2. Determine g so that n(g) = 0. -2/3, 0, 1 Let c(a) be the third derivative of -a**6/100 + a**5/30 + a**4/30 + 5*a**2. Suppose c(d) = 0. What is d? -1/3, 0, 2 Let m(p) be the third derivative of -p**6/240 - p**5/60 + 2*p**2. Factor m(y). -y**2*(y + 2)/2 Let y = 165/17 + -4609/51. Let t = -80 - y. Suppose -1/3*o**5 + 0*o**4 + 0 + 0*o + o**3 - t*o**2 = 0. Calculate o. -2, 0, 1 Let k = 23 - 20. Find t, given that 237 + 7*t**3 - 269 - 3*t**k + 8*t**2 - 16*t = 0. -2, 2 Let p be ((-3252)/18)/(42/405). Let k = p + 1745. Factor 8/7*b**4 - 2/7*b**5 - 2/7*b**3 + 8/7*b - k*b**2 + 16/7. -2*(b - 2)**3*(b + 1)**2/7 Let k(w) be the second derivative of w**5/25 + w**4/15 - 29*w. Factor k(m). 4*m**2*(m + 1)/5 Let g(u) = u**4 - u**3 - u**2. Let z(s) = -5*s**4 - 7*s**3 - 9*s**2 + 8*s + 16. Let i(r) = 6*g(r) + 2*z(r). Factor i(w). -4*(w - 1)*(w + 2)**3 Let g(k) = 9*k**2 + k + 1. Let n(q) = -8*q**2 - q - 2. Let b(i) = 2*g(i) + 3*n(i). Let h(p) = -5*p**2 - 4. Let z(x) = -4*b(x) + 5*h(x). Factor z(o). -(o - 2)**2 Suppose -3 - 3 = -3*v. Let i(k) be the second derivative of 0*k**v - k + 0 - 1/36*k**4 + 0*k**3. Let i(d) = 0. What is d? 0 Let u = 31/5 - 88/15. Suppose 4/3*v**2 + u + 5/3*v = 0. What is v? -1, -1/4 Let x(v) = -16*v**3 - 22*v**2 - 8*v + 14. Let g(f) = f**3 + f**2 - 1. Let t(m) = 28*g(m) + 2*x(m). Factor t(q). -4*q*(q + 2)**2 Factor 0 + 15/7*k**2 + 12/7*k + 3/7*k**3. 3*k*(k + 1)*(k + 4)/7 Let z(y) be the third derivative of y**5/12 + 25*y**4/12 + 125*y**3/6 - 10*y**2. Factor z(w). 5*(w + 5)**2 Let a(o) = o - 1. Let w be a(2). Let h(u) = 3*u**3 + u**2 + u - 1. Let z be h(w). Factor 2*c**4 + 0*c**z - c**4 + 5*c**2 - 2*c - 4*c**3. c*(c - 2)*(c - 1)**2 Let y(o) be the second derivative of 1/30*o**6 + 3*o - 1/2*o**2 - 1/10*o**5 + 0 + 0*o**4 + 1/3*o**3. Solve y(n) = 0. -1, 1 Factor -9*h + 4*h**4 - 3*h**2 + 9*h - h**4 - 3*h**5 + 3*h**3. -3*h**2*(h - 1)**2*(h + 1) Let t(o) be the first derivative of o**6/24 - o**5/20 - o**4/16 + o**3/12 - 2. Factor t(w). w**2*(w - 1)**2*(w + 1)/4 Let f = 8/11 + -5/22. Find n such that -f*n**2 + 1/2 + 0*n = 0. -1, 1 Let j(v) be the third derivative of -v**6/30 + v**5/3 - v**4/2 - 6*v**3 + 18*v**2. Factor j(t). -4*(t - 3)**2*(t + 1) Suppose -l - 4*f - 18 = -f, 8 = -4*l + 4*f. Let o be l/(-3) + 1 - 1. Determine d so that 2*d**4 + d**2 + d**2 - o*d**3 + 7*d**3 - d**3 = 0. -1, 0 Let k(g) be the first derivative of -g**4/14 + g**2/7 + 10. Factor k(c). -2*c*(c - 1)*(c + 1)/7 Let x(s) be the second derivative of 1/10*s**5 + 3*s + 0 - 1/3*s**3 + 0*s**2 + 0*s**4. What is g in x(g) = 0? -1, 0, 1 Suppose -17 = -4*c - 1. Let -p**2 + 2 + 4*p**4 - 5*p + 8*p**3 - c*p - 2*p**2 + 4*p = 0. What is p? -2, -1, 1/2 Let a(m) = m**3 - m**2 - 1. Let j(s) = -s**4 + 6*s**3 - 6*s**2 + s - 7. Let p(n) = 35*a(n) - 5*j(n). Determine z, given that p(z) = 0. -1, 0, 1 Let y(h) be the third derivative of -h**7/105 + h**6/60 + 2*h**5/15 - h**4/3 - 14*h**2. Let y(q) = 0. What is q? -2, 0, 1, 2 Let k(t) be the first derivative of 0*t**3 + 0*t**4 + 1/360*t**6 + 0*t - t**2 + 0*t**5 + 3. Let y(x) be the second derivative of k(x). Factor y(c). c**3/3 Let k = -100 - -103. Find d such that 0 - 3/4*d**4 + 3/4*d**2 + 0*d**k + 0*d = 0. -1, 0, 1 Suppose -3*l + 3*y + 6 = -0*y, -y = 4*l - 18. Suppose l*r = 4*z - 1 + 13, 3*z = r + 1. Find b, given that 1/5*b + 1/5*b**z + 0 = 0. -1, 0 Let m(t) be the third derivative of -1/6*t**3 + 0 - 1/18*t**4 + t**2 + 0*t - 1/180*t**5. Factor m(w). -(w + 1)*(w + 3)/3 Let y(f) be the first derivative of -2*f**3/27 + f**2/9 - 13. Let y(u) = 0. What is u? 0, 1 Find k such that -8 - 10 + 18 + 4*k**2 + 4*k = 0. -1, 0 Let q be (-3 + 6)*10/6. Factor -6*h**3 + 3 + 3*h + 6*h + 2*h**2 - 3*h**q + 4*h**2 - 9*h**4. -3*(h - 1)*(h + 1)**4 Factor 4*u**2 + 3*u**3 + 10*u + 8*u**2 + 12*u - 10*u. 3*u*(u + 2)**2 Suppose -579 + 147 = 4*p. Let q be (9/p)/((-2)/6). Factor -q*m**3 + 0*m + 1/4*m**2 + 0. -m**2*(m - 1)/4 Let g(v) = -4*v**2 + 3. Let s(j) = -5*j**2 + 4. Suppose f = -2*r - 5, 3*f - 4*r - 25 + 0 = 0. Let o(y) = f*s(y) - 4*g(y). Let o(c) = 0. What is c? 0 Let c(a) be the third derivative of -a**8/720 - 2*a**7/315 - 11*a**6/1080 - a**5/180 + 5*a**3/6 + a**2. Let n(x) be the first derivative of c(x). Factor n(s). -s*(s + 1)**2*(7*s + 2)/3 Determine t so that t**2 + 3/5 + 1/5*t**3 + 7/5*t = 0. -3, -1 Factor 20 + 4*k**2 - 35*k + 0*k**3 + 5*k**3 + 6*k**2. 5*(k - 1)**2*(k + 4) Let p(f) be the second derivative of -f**5/80 + 11*f**4/48 + f**3/2 - 48*f. What is j in p(j) = 0? -1, 0, 12 Let s = 9 + -6. Let 2*y**2 - 5*y - y**2 + s*y + 1 + 0*y**2 = 0. Calculate y. 1 Let d(q) be the third derivative of q**7/1260 - q**6/360 + q**4/6 - 3*q**2. Let v(w) be the second derivative of d(w). Suppose v(x) = 0. What is x? 0, 1 Let z(w) = 13*w + 6. Let o be z(-4). Let f = o - -187/4. Let -3/2*s**3 + f*s**5 + 3/4*s + 3/4*s**4 + 3/4 - 3/2*s**2 = 0. Calculate s. -1, 1 Suppose -3*b - 16 = 5*q, -6*q = 4*b - 3*q + 3. Suppose 0 = -2*m + 5*y - 20, -2*m - 12 = 3*m - b*y. Factor 1/2*u**5 + 0*u**4 - 3/2*u**3 + m - u**2 + 0*u. u**2*(u - 2)*(u + 1)**2/2 Let l(v) be the first derivative of -v**3/6 - v**2/4 + 5. Let l(g) = 0. What is g? -1, 0 Let n(q) be the second derivative of -q**4/78 - 4*q**3/39 - 4*q**2/1
{ "pile_set_name": "DM Mathematics" }
= -23*x + 4 for x. 2 Solve 0 = 15*t - 105 + 270 for t. -11 Solve -13 = -12*u - 61 for u. -4 Solve -1359 = 10*t - 1459 for t. 10 Solve 120 = 84*p - 64*p for p. 6 Solve -36*d + 121 = -59 for d. 5 Solve -115 + 124 = -3*z for z. -3 Solve -135 = 42*t - 15*t for t. -5 Solve -3*s + 2 - 14 = 0 for s. -4 Solve 0 = -14*u + 19*u - 25 for u. 5 Solve 4*n - 70 = -58 for n. 3 Solve -3*j = -6 + 21 for j. -5 Solve -59*n = -42*n - 34 for n. 2 Solve -7*v = -924 + 924 for v. 0 Solve 0 = -36*a + 32*a - 20 for a. -5 Solve -26*a + 16*a - 30 = 0 for a. -3 Solve 0 = -227*j + 224*j - 6 for j. -2 Solve 6 = 3*m + 3 for m. 1 Solve 6*o - 6 + 12 = 0 for o. -1 Solve -27*x = -32*x + 20 for x. 4 Solve 142*m + 15 = 147*m for m. 3 Solve 11*h = 12*h - 6 for h. 6 Solve 4*k - 7 + 15 = 0 for k. -2 Solve -2*n = -6*n - 3*n for n. 0 Solve -30*d - 237 = -327 for d. 3 Solve -148*i + 154*i = -30 for i. -5 Solve -3*v + 5 = 14 for v. -3 Solve 93*h + 42 = 51*h for h. -1 Solve -31*q - 30 = 1 for q. -1 Solve -266*n + 18 = -257*n for n. 2 Solve 140*p = 158*p + 126 for p. -7 Solve 52 = -84*u + 71*u for u. -4 Solve -5*o - 8*o + 91 = 0 for o. 7 Solve 9*q - 5*q + 12 = 0 for q. -3 Solve 12*k + 2403 = 2319 for k. -7 Solve 0 = -17*o + 18*o + 4 for o. -4 Solve 0*n - 18*n = -36 for n. 2 Solve -1475*c + 1460*c = 75 for c. -5 Solve 0*c = -3*c - 3 for c. -1 Solve -452 = -2*k - 460 for k. -4 Solve 999*m - 25 = 1004*m for m. -5 Solve 3*j + j = 4 for j. 1 Solve 10*i + 4*i = 56 for i. 4 Solve 0 = 36*h - 7*h - 116 for h. 4 Solve 11*k - 2737 = -2792 for k. -5 Solve 5*w = -5*w - 10 for w. -1 Solve 446 = 56*f + 54 for f. 7 Solve 33*x - 128 = -29 for x. 3 Solve 46*v - 74 = 120*v for v. -1 Solve 189*z = 184*z + 5 for z. 1 Solve 25*d = 20*d + 20 for d. 4 Solve 11*p = 3*p for p. 0 Solve 8*g - 60 = 18*g for g. -6 Solve 7*f - 5 - 9 = 0 for f. 2 Solve -20 = -10*u + 15*u for u. -4 Solve -12 + 4 = 2*f for f. -4 Solve 7 - 3 = -2*w for w. -2 Solve 149 = 49*u - 96 for u. 5 Solve -30*b = -13*b + 68 for b. -4 Solve 0 = -174*g + 133*g + 205 for g. 5 Solve 7*a = 4*a - 15 for a. -5 Solve 28*o - 23*o - 15 = 0 for o. 3 Solve -2756*g - 20 = -2766*g for g. 2 Solve -75*g = -37*g + 418 for g. -11 Solve -13*n + 17 = 56 for n. -3 Solve 50 = 28*p - 3*p for p. 2 Solve 14*m = -46 - 108 for m. -11 Solve 12*m + 7 = -41 for m. -4 Solve 0 = 3*w - 41*w - 38 for w. -1 Solve -27*q + 36*q = -36 for q. -4 Solve 8*z = 3*z - 5 for z. -1 Solve -9*s + 41 = 14 for s. 3 Solve 3 + 69 = 12*h for h. 6 Solve -3*q + 2 = -7 for q. 3 Solve -660*l = -665*l for l. 0 Solve -3*p + 60 = 9*p for p. 5 Solve 0 = 6*v + 39 - 69 for v. 5 Solve -81*z - 710 = -10*z for z. -10 Solve -143*r = -149*r + 18 for r. 3 Solve 22*j - 24*j = -8 for j. 4 Solve 5 = -5*i + 20 for i. 3 Solve 33*g = 74 - 305 for g. -7 Solve -12*u = 19*u + 31 for u. -1 Solve 15 = -5*x - 0 for x. -3 Solve 5*x + 479 = 504 for x. 5 Solve 4*r + 18 = 10*r for r. 3 Solve -2*d + 48 = -18*d for d. -3 Solve -123 = -4*w - 107 for w. 4 Solve 0 = -6*s - 0*s - 6 for s. -1 Solve 29*l - 16*l + 65 = 0 for l. -5 Solve 23*z - 18*z = -10 for z. -2 Solve 3*i = -0 - 9 for i. -3 Solve -41 = 36*q - 5 for q. -1 Solve 0 = 17*d - 12*d + 10 for d. -2 Solve -269*f + 50 = -259*f for f. 5 Solve -104*c + 20 - 20 = 0 for c. 0 Solve -4 = -11*d - 37 for d. -3 Solve -8*b + 3 = 83 for b. -10 Solve 10 + 14 = 8*k for k. 3 Solve -11*b = -5*b - 18 for b. 3 Solve -801*r = -780*r + 189 for r. -9 Solve -15*p = -38 + 113 for p. -5 Solve 0 = -6*u + 8*u + 2 for u. -1 Solve 4*x - 10 = 2 for x. 3 Solve -25*p + 15*p = -20 for p. 2 Solve 1130*o + 4 = 1128*o for o. -2 Solve -4*z - 26 = -2 for z. -6 Solve -3*j - 45 = -60 for j. 5 Solve -235 = 2*j - 251 for j. 8 Solve 0 = 12*j - 40*j for j. 0 Solve 160*h = 167*h - 14 for h. 2 Solve 0 = -2*p - 9 + 17 for p. 4 Solve 150 = l + 154 for l. -4 Solve -50 = -8*d + 18*d for d. -5 Solve -45 = 15*p - 0*p for p. -3 Solve 17*f - 84 = 5*f for f. 7 Solve 1 = -5*p + 6*p for p. 1 Solve 24 = -5*h - h for h. -4 Solve -4 - 16 = -20*u for u. 1 Solve f + 31 - 28 = 0 for f. -3 Solve 0 = 4*k - 2*k + 4 for k. -2 Solve 191*n + 95 = 172*n for n. -5 Solve -8 - 20 = -7*s for s. 4 Solve 11 = -2*y + 9 for y. -1 Solve 12 = -11*i + 7*i for i. -3 Solve -3*s = 271 - 286 for s. 5 Solve -5*v - 17*v = 154 for v. -7 Solve 0*m = -3*m - m for m. 0 Solve -b = 5*b - 18 for b. 3 Solve -7*j + 11 = 4*j for j. 1 Solve -10*o + 8*o = 0 for o. 0 Solve -9*i = -6 + 15 for i. -1 Solve 44 = 12*z - z for z. 4 Solve -5*t - 3*t + 8 = 0 for t. 1 Solve 27*c - 20 = 23*c for c. 5 Solve -9*b = -31*b - 88 for b. -4 Solve -12*t = 2*t + 14 for t. -1 Solve -479 + 495 = 8*l for l. 2 Solve 9*w = -3 - 24 for w. -3 Solve -2149 + 2161 = -2*j for j. -6 Solve 0 = -8*p + 14 - 6 for p. 1 Solve 0 = 69*a - 51*a - 18 for a. 1 Solve 0 = -14*k + 4865 - 4977 for k. -8 Solve 6*f = 9*f - 12 for f. 4 Solve -11 = 8*g + 13 for g. -3 Solve 38*x = 23*x - 90 for x. -6 Solve 15*t + 2 = 17 for t. 1 Solve -2*u + 8*u = 12 for u. 2 Solve -g + 0*g + 7*g = 0 for g. 0 Solve 36*r = 40*r - 8 for r. 2 Solve -10*u = -13*u - 6*u for u. 0 Solve 0 = 15*i + 79 - 4 for i. -5 Solve 0 = -4*f - 2*f + 24 for f. 4 Solve 7*n + 5 = 33 for n. 4 Solve 0 = 10*n + 147 - 187 for n. 4 Solve -28*m = -21*m - 28 for m. 4 Solve -5*z - 25 + 15 = 0 for z. -2 Solve -126 = 1761*p - 1779*p for p. 7 Solve -29*c = 72*c + 404 for c. -4 Solve 222 = -2*q + 224 for q. 1 Solve 9 = 4*h + 1 for h. 2 Solve -3*p + 6 = 6 for p. 0 Solve -18*n - 12 = 6 for n. -1 Solve -14*w + 19 = -33*w for w. -1 Solve 33*a - 129 + 228 = 0 for a. -3 Solve 44*o = -28*o - 72 for o. -1 Solve -3*y + 46*y = 4*y for y. 0 Solve 47*d - 52*d - 20 = 0 for d. -4 Solve -9*w + 448 = 47*w for w. 8 Solve 2*v - 17*v = -30 for v. 2 Solve -70*o = -11 - 59 for o. 1 Solve -6 = 3*g - 18 for g. 4 Solve 0 = -19*d + 18*d - 2 for d. -2 Solve -23*h - 10 = 36 for h. -2 Solve 15*n - 29 + 134 = 0 for n. -7 Solve -4*w = -5*w + 2*w for w. 0 Solve 3*b + 13 = 16 for b. 1 Solve 108 = -8*n + 164 for n. 7 Solve -32 = 7*b - 11 for b. -3 Solve 19*n - 86 = 9 for n. 5 Solve 0 = -22*k + 16 + 6 for k. 1 Solve 16*k + 8 = 14*k for k. -4 Solve 633*n - 48 = 657*n for n. -2 Solve -394*h - 220 = -374*h for h. -11 Solve -5*o - 2*o = 21 for o. -3 Solve -1822*h = -1812*h - 110 for h. 11 Solve 413*k = 416*k - 21 for k. 7 Solve 0 = -23*n - 8 + 54 for n. 2 Solve 8*d = 58*d - 100 for d. 2 Solve 42 = 5*y + 2*y for y. 6 Solve -1099*o - 42 = -1093*o for o. -7 Solve r = 11*r for r. 0 Solve -20*m = 29 - 129 for m. 5 Solve 145*m = 154*m + 45 for m. -5 Solve 93*s + 5 = 88*s for s. -1 Solve 10*m - 30*m = 60 for m. -3 Solve -31*s + 86 = -131 for s. 7 Solve 5 = -u + 1 for u. -4 Solve -21*b + 23*b = 0 for b. 0 Solve 14 = 56*x - 322 for x. 6 Solve -7*b + 8 = -11*b for b. -2 Solve 7*m = 16 + 19 for m. 5 Solve 17*x + 172 = 155 for x. -1 Solve -18*i - 31 = 5 for i. -2 Solve -7*l = 11*l + 8*l for l. 0 Solve -12*d = -20*d for d. 0 Solve 0 = 218*u - 217*u + 2 for u. -2 Solve -5*x - 10 = -20 for x. 2 Solve -2*m = -25*m for m. 0 Solve -96 + 126 = -10*y for y. -3 Solve 84 = -12*v + 33*v for v. 4 Solve 965*o + 27 = 938*o for o. -1 Solve 6*h + 81 = 57 for h. -4 Solve -225*w + 184*w + 328 = 0 for w. 8 Solve 8*i = -28 + 68 for i. 5 Solve -168 = 11*w + 31*w for w. -4 Solve 2*z - 44 = -38 for z. 3 Solve 0 = 8*y - 63 + 119 for y. -7 Solve 0 = -3*c + 84 - 93 for c. -3 Solve 16 = c + 10 for c. 6 Solve 23*n = 18*n - 20 for n. -4 Solve 78 = -12*x + 18 for x. -5 Solve -f - 4*f = 3*f for f. 0 Solve 4*k - 3 = 5*k for k. -3 Solve 0 = -3*w + 4 + 8 for w. 4 Solve 92*v - 90 = 110*v for v. -5 Solve -14*p - 42 = 28 for p. -5 Solve -296 = 12*s - 416 for s. 10 Solve 4*d + 107 - 127 = 0 for d. 5 Solve 9 + 7 = 4*x for x. 4 Solve -316*n + 318*n = -8 for n. -4 Solve -4 = -661*z + 663*z for z. -2 Solve 5*s - 7 = 3 for s. 2 Solve 37 = s + 41 for s. -4 Solve 0 = 440*y - 453*y + 52 for y. 4 Solve 6 - 14 = -2*r for r. 4 Solve -78 = -k + 14*k for k. -6 Solve -37*t + 238 = -3*t for t. 7 Solve 0 = 128*u - 51*u - 154 for u. 2 Solve 2*k - 6 = 5*k for k. -2 Solve 10*y = 5*y - 15 for y. -3 Solve 18 = 4*p - 2 for p. 5 Solve -4*c + 5 - 1 = 0 for c. 1 Solve 0 = 32*h - 23*h for h. 0 Solve 8*j + 84 - 124 = 0 for j. 5 Solve -7*n = -24*n - 11*n for n. 0 Solve -6*k = -7*k + 2 for k. 2 Solve 9*l - 91 = -46 for l. 5 Solve -2*w + 7*w = -2*w for w. 0 Solve 0 = 50*o - 38*o for o. 0 Solv
{ "pile_set_name": "DM Mathematics" }
6*p Collect the terms in -7*g**2 + 11*g**2 + 2*g**2 + 3*g + 0*g**2 - 5*g**2. g**2 + 3*g Collect the terms in o**3 - 2*o**3 - 10*o**3 + 13*o**3. 2*o**3 Collect the terms in -2*h**3 + 10*h - 24*h + 7*h + 7*h. -2*h**3 Collect the terms in -9*u**3 - 3653*u**2 + 3653*u**2. -9*u**3 Collect the terms in -4*p**2 + 28 + 57 - 85. -4*p**2 Collect the terms in 0 - 6*r - 2 - 1. -6*r - 3 Collect the terms in -8*m**2 - 18*m**2 + 28*m**2. 2*m**2 Collect the terms in -5*a**2 + 17*a**2 - 9*a**2 - 5*a**2. -2*a**2 Collect the terms in 234*b**3 + 223*b**3 - 459*b**3. -2*b**3 Collect the terms in -285*v**3 - 293*v**3 + 565*v**3. -13*v**3 Collect the terms in 3*d + 0*d + 7*d. 10*d Collect the terms in 15*y + 11*y + 7*y - 31*y. 2*y Collect the terms in -34*z - 1751 + 1751 + 7*z. -27*z Collect the terms in 18736 - 18736 + 5*x. 5*x Collect the terms in 6*g + g - 2*g - 4*g. g Collect the terms in -3 + 6 - i**2 - 10 + 7. -i**2 Collect the terms in -3*q + 21*q - q. 17*q Collect the terms in -39*j**2 - 38*j**2 - 40*j**2 + 148*j**2 - 40*j**2. -9*j**2 Collect the terms in -529*q**2 + 1041*q**2 - 519*q**2. -7*q**2 Collect the terms in -7*l**3 + 30*l**3 - 18*l**3. 5*l**3 Collect the terms in -1 + 4 + 0 + q. q + 3 Collect the terms in 68*s**2 - 137*s**2 + 67*s**2. -2*s**2 Collect the terms in -8*w**3 - 8*w**3 + 21*w**3 - 6*w**3. -w**3 Collect the terms in -47*w**2 - 49*w**2 - 38*w**2 + 130*w**2. -4*w**2 Collect the terms in 7*p - 8*p**2 - 7*p + 52*p**2. 44*p**2 Collect the terms in -18 - 3*d**3 - 6*d + 31 + 6*d. -3*d**3 + 13 Collect the terms in -2*l - 5*l + 8*l + l. 2*l Collect the terms in -2*a**2 - 8*a**2 - 3*a**2. -13*a**2 Collect the terms in 6*m**2 - 26*m**2 + 5*m**2 + 10*m**2. -5*m**2 Collect the terms in -3*b - 2*b + 2*b + b. -2*b Collect the terms in -22741*q + 11368*q + 11374*q. q Collect the terms in -224*j + 1 + 662*j - 1. 438*j Collect the terms in 40*i**2 + 20*i - 37*i**2 - 20*i. 3*i**2 Collect the terms in 1 + 3 + 1 - 2 - 7*t. -7*t + 3 Collect the terms in -2*t - 39 - 6*t + 39. -8*t Collect the terms in -5*n**2 + 2*n**2 + 0*n**2 + 4*n**2. n**2 Collect the terms in -5*y**3 + 27*y**3 + 15*y**3. 37*y**3 Collect the terms in 63*k - 32*k - 34*k. -3*k Collect the terms in 3*d - 33 - 3*d + 2*d**2. 2*d**2 - 33 Collect the terms in -i + i + 21*i**3 - 17*i**3. 4*i**3 Collect the terms in j + 5*j - 12*j. -6*j Collect the terms in 24*r - 40*r + 46*r. 30*r Collect the terms in 6*v**2 + 132*v + 2*v**2 - 132*v. 8*v**2 Collect the terms in 2 - 123*x**2 - 2 + 60*x**2 + 54*x**2. -9*x**2 Collect the terms in 151*p**3 - 90*p**3 + 0 - 75*p**3 + 0. -14*p**3 Collect the terms in -15*t**3 - 14*t**3 + 32*t**3. 3*t**3 Collect the terms in 4*m**2 + 7*m**2 + m**2 - 3*m**2. 9*m**2 Collect the terms in 2208 + a**2 - 1101 - 1107. a**2 Collect the terms in -180*y + 102*y - 6*y. -84*y Collect the terms in -39*b**2 + 10*b**2 + 11*b**2 + 17*b**2. -b**2 Collect the terms in -2*o + o - 5*o + 19*o - 4*o. 9*o Collect the terms in 270268270*v - 270268270*v + v**3. v**3 Collect the terms in l**3 + 26*l - 26*l - 4*l**3. -3*l**3 Collect the terms in -22*v - 8 - 9 + 17. -22*v Collect the terms in 54*d**2 - 130*d**2 + 40*d**2 + 48*d**2. 12*d**2 Collect the terms in -455874*y + y**2 + 455874*y + 0*y**2. y**2 Collect the terms in -5*y**2 + 6*y**3 + 5*y**2 + 0*y**2. 6*y**3 Collect the terms in -10*r**2 + 20*r**2 - r**3 - 10*r**2. -r**3 Collect the terms in 166*i**2 - 166*i**2 - 13*i**3. -13*i**3 Collect the terms in 118*v**3 - 59*v**3 - 60*v**3. -v**3 Collect the terms in 109*l**2 - 105*l**2 + l - 34*l. 4*l**2 - 33*l Collect the terms in 2*t - 5*t - 6*t - 3*t. -12*t Collect the terms in -137*s**2 - 6*s + 6*s. -137*s**2 Collect the terms in -137 - 3*b**2 + 6*b**2 + 137. 3*b**2 Collect the terms in 6*n + 29 - 4*n - 29. 2*n Collect the terms in -6 + 7 + 10*s - 7*s - 63. 3*s - 62 Collect the terms in -5 - 4 + 2*g + 9. 2*g Collect the terms in 0 + 2*s**3 + 0 - 22*s**2. 2*s**3 - 22*s**2 Collect the terms in 2*q**3 - 2953*q**2 + 2953*q**2. 2*q**3 Collect the terms in -19*l**2 + 7*l**2 + 6*l**2. -6*l**2 Collect the terms in -69*o**3 - 70*o**3 + 136*o**3. -3*o**3 Collect the terms in 327*l - 661*l + 333*l. -l Collect the terms in -1 + 49*i + 97*i + 1. 146*i Collect the terms in -3*k + 3*k + 14*k. 14*k Collect the terms in 5*g**2 - 2*g**2 - g**2 + 0*g**2 - 9*g**3. -9*g**3 + 2*g**2 Collect the terms in -40*c**3 - 43*c**3 + c**2 + 3*c**2 - 2*c**2. -83*c**3 + 2*c**2 Collect the terms in 211 - 39*g**2 + 30*g**2 - 211. -9*g**2 Collect the terms in -119*p + 3 + 70*p - 3. -49*p Collect the terms in 37*f**2 + 34*f - 34*f. 37*f**2 Collect the terms in -4*v + 76*v**3 + 4*v - 3 + 1. 76*v**3 - 2 Collect the terms in 170*i**2 - 39*i**3 - 170*i**2. -39*i**3 Collect the terms in 7 + n**3 + 14 - 21. n**3 Collect the terms in 196*a + 185*a - 382*a. -a Collect the terms in 0*w**3 - 7*w**3 + 32*w**3. 25*w**3 Collect the terms in -389 + 389 - 14*z. -14*z Collect the terms in -8*p**2 - 5*p + 11*p - 6*p. -8*p**2 Collect the terms in 27*g**3 - 16*g**3 - 22*g**3. -11*g**3 Collect the terms in -7*x**2 - 13*x + 35*x + 49*x. -7*x**2 + 71*x Collect the terms in -34*x**2 - 3 + 0 - 74*x**2. -108*x**2 - 3 Collect the terms in -117*u**2 + 55*u**2 + 2 + 56*u**2 - 2. -6*u**2 Collect the terms in -2*r**2 - 269114*r + 269114*r. -2*r**2 Collect the terms in -2*k - 4142 + 4142. -2*k Collect the terms in -18*r + 27*r**3 + 36*r - 18*r. 27*r**3 Collect the terms in t - 42*t + 39*t. -2*t Collect the terms in 5*k**2 + 3*k**2 + 13*k**2 - 34*k**2 + 10*k**2. -3*k**2 Collect the terms in -t - 3*t + 4*t - 13*t**3. -13*t**3 Collect the terms in 40*l - 12*l - 59*l. -31*l Collect the terms in 6*v**3 + 8*v**3 - 31*v**3 + 9*v**3. -8*v**3 Collect the terms in 10*s - 10*s + 7*s**2. 7*s**2 Collect the terms in -25*w**2 - 56 + 56. -25*w**2 Collect the terms in 16 - 16 + 4*s**3 - 6*s**3. -2*s**3 Collect the terms in 565818*w + 11*w**2 - 565818*w. 11*w**2 Collect the terms in 127*q - 133*q + 0 + 0. -6*q Collect the terms in -2*p - 3*p + 3*p - 10*p. -12*p Collect the terms in 3*b + 547750 - 547750. 3*b Collect the terms in -5*c**3 - 189*c + 106*c + 83*c. -5*c**3 Collect the terms in -195 + 4*c + 96 + 99. 4*c Collect the terms in 10*h**3 + 55*h**3 - 64*h**3. h**3 Collect the terms in -49*t + 1 + 327*t + 252*t. 530*t + 1 Collect the terms in 0 - 59*m**3 - 44*m**3 - 1. -103*m**3 - 1 Collect the terms in -64*v**3 + 2*v - 2*v - 44*v**3. -108*v**3 Collect the terms in -12*g - 41*g**3 + 12*g. -41*g**3 Collect the terms in 0 - 5*d + 6 + 3 - 9. -5*d Collect the terms in 149 - 70 - 79 + 4*m. 4*m Collect the terms in -41*d - 31*d + 106*d - 33*d. d Collect the terms in -19*f - 32*f - 13*f - 2*f. -66*f Collect the terms in 112*u - 112*u - 3*u**3. -3*u**3 Collect the terms in 8*l**3 - 39*l**3 + 13*l**3 + 10*l**3. -8*l**3 Collect the terms in -29*a**2 + 17*a**2 + 17*a**2. 5*a**2 Collect the terms in -4*j - 5*j + 38*j. 29*j Collect the terms in 2*u**2 - 2*u**2 + 64*u + u**3. u**3 + 64*u Collect the terms in -2 + 2 - 34*l. -34*l Collect the terms in 5 - 5 - 6*r + 7*r + 0. r Collect the terms in -62*m**2 - 66*m**2 - 65*m**2 + 189*m**2. -4*m**2 Collect the terms in 348*n**2 - 43 - 173*n**2 - 172*n**2 + 43. 3*n**2 Collect the terms in 4578*b + 2*b**2 - 4578*b. 2*b**2 Collect the terms in 3*y**2 + 570*y - 570*y. 3*y**2 Collect the terms in 3 + 16 - 16 - 3 - i. -i Collect the terms in 8*k**3 + 418441*k**2 - 418441*k**2. 8*k**3 Collect the terms in -2*a - 2*a**3 + 46*a + 0*a - a**3. -3*a**3 + 44*a Collect the terms in -w - 129*w**3 + w. -129*w**3 Collect the terms in 6*u - 10*u + 7*u. 3*u Collect the terms in 21*f**2 + 11*f**2 + 13*f**2 - 16*f**2. 29*f**2 Collect the terms in -1 + 5*n**3 + 2*n**3 - 2*n**3 - n**3. 4*n**3 - 1 Collect the terms in -8*a + 4 - 1 - 3. -8*a Collect the terms in -2*b + 13*b - 4*b - 5*b. 2*b Collect the terms in 15*w**3 - 59*w + 59*w. 15*w**3 Collect the terms in -3048*q - q**2 + 3*q**3 + 3048*q. 3*q**3 - q**2 Collect the terms in -59 + 117*a + 59. 117*a Collect the terms in 0*x**3 + 13*x**2 - 13*x**2 + 23*x**3. 23*x**3 Collect the terms in 77 - 77 - 5*q. -5*q Collect the terms in 10*a**2 - 717 + 717. 10*a**2 Collect the terms in 6 + 18 - 12 - 12 + 9*d**2. 9*d**2 Collect the terms in 9*l**3 - 11*l**3 + l - l. -2*l**3 Collect the terms in 49*p - 69*p + 34*p. 14*p Collect t
{ "pile_set_name": "DM Mathematics" }
at is the greatest common divisor of u and 50? 50 Suppose 0*q = 3*q - 4*m - 17, -2*q + 2 = 2*m. Suppose 0 = w - 2*h - q*h + 6, -w - 3*h = -18. What is the greatest common divisor of 45 and w? 9 Let h = 11 - 8. Suppose -2*x = -h*x + 4. Let y = -5 + 7. Calculate the greatest common divisor of x and y. 2 Suppose 0 = -3*f + 195 - 51. Suppose 0 = -2*y - 0*y + f. Calculate the greatest common factor of 8 and y. 8 Suppose -i = -t - 2*t - 7, 3*i - 1 = 5*t. Let x be (-8)/(-64) + (-63)/i. What is the highest common divisor of 88 and x? 8 Let v be (-11)/(-2*(-3)/(-54)). What is the greatest common factor of 9 and v? 9 Let a = 6 - 6. Suppose 2*y + 3*d + a*d = 59, d + 39 = 2*y. Suppose 0 = 3*o - 2*w - y, -5*o + 5*w + 38 - 3 = 0. What is the greatest common divisor of o and 20? 4 Let m = -7 + 14. Calculate the highest common divisor of m and 35. 7 Let w be (-1 + -49)*(-12)/15. Calculate the highest common divisor of 5 and w. 5 Suppose -2*x - 15 = -5*x. Let q be ((-10)/(-3))/(4/6). What is the greatest common factor of x and q? 5 Let z(q) = q**2 - 11*q - 8. Let y be z(12). Calculate the greatest common divisor of 76 and y. 4 Let b be -1*(1 - -6)*-9. Calculate the highest common factor of 42 and b. 21 Let c be 297/(-12)*(-16)/4. Calculate the greatest common divisor of c and 11. 11 Suppose 11*r - 80 = 6*r. Let f(p) = 3*p**2 - 5*p. Let d be f(7). Calculate the highest common divisor of d and r. 16 Let d = 5 + -10. Let n be (d/(-2))/(4/8). Suppose -7 + 42 = n*i. What is the greatest common factor of i and 7? 7 Let z(a) = a**3 + 9*a**2 + 5*a. Let o = -15 - -7. Let m be z(o). Calculate the highest common factor of m and 16. 8 Let h(p) = p**2 + 4*p - 8. Let w be h(-6). Let q(d) = d + 8. Let b be q(0). What is the highest common divisor of w and b? 4 Suppose -3*u = 2*d - 14, -3*u - 2*u - 2*d + 18 = 0. What is the highest common divisor of u and 18? 2 Suppose 0 = 2*s + 2*s - 256. Let k = 50 + -34. What is the highest common factor of k and s? 16 Let h(m) = m**3 + 7*m**2 + 5*m - 4. Let d be h(-5). Suppose -8*w = -5*w - 21. What is the highest common factor of w and d? 7 Let b = 2 + 2. Let a = 0 - -2. Suppose 5*m - w - 14 = a*w, -w - 10 = -3*m. What is the greatest common factor of m and b? 4 Let v be ((-2156)/(-12))/1*(-3)/(-1). Calculate the greatest common divisor of v and 49. 49 Suppose -2*d - 2*z - z = 65, -22 = d + 5*z. Let v = d + 54. Suppose -y - 3*o + 66 = -0*y, 0 = 2*y - 2*o - 92. Calculate the greatest common factor of y and v. 17 Let i(f) = -43*f + 5. Let a be i(-5). Suppose v + 1 = 23. What is the greatest common factor of a and v? 22 Suppose i + 5*r = -21, -15 = -5*i - 3*r + 2*r. Let h = -8 - -13. Suppose 4*s - 29 = h*t + 6, 0 = i*s - t - 23. Calculate the greatest common factor of s and 55. 5 Let g be 27 + (4 - 2) + -5. Calculate the greatest common factor of g and 12. 12 Suppose 3*q = 5*q + g - 28, 3*q - 5*g - 42 = 0. Let j(u) = 14*u + 4. Let f be j(4). Suppose -z = -38 - f. What is the highest common divisor of z and q? 14 Let u(h) = -h**3 - h**2 + 4*h + 9. Let n be u(-6). Suppose 2*t - 31 + 7 = -2*c, -t - 78 = -5*c. Calculate the highest common factor of c and n. 15 Suppose 4*c = c + 81. Calculate the highest common factor of c and 216. 27 Let c(r) = -r - 4. Let y be 4*(-1)/(-2)*-4. Let g be c(y). Calculate the greatest common factor of g and 4. 4 Let u be (-3)/(-2)*(-2 + 4). Suppose 5*h + 0*d + 3*d - 42 = 0, 3*d = 3*h - 30. Calculate the highest common divisor of h and u. 3 Suppose 4*t = 2*t + 10. Suppose -3*m = -4*h - 5*m + 178, 0 = t*h - 4*m - 216. Calculate the highest common factor of h and 4. 4 Suppose 3*o = -3*u + 213, -u + 97 = 3*o - 126. Suppose -68 = -3*i + o. What is the highest common divisor of 8 and i? 8 Let p(g) = g**2 + 8*g - 6. Let a be p(-9). Suppose -4*z - 2 = -5*q, -2*q + a*q - 8 = -3*z. Calculate the greatest common divisor of 5 and z. 1 Suppose -2*b = -13 - 11. What is the highest common divisor of b and 132? 12 Let n = -1 + 4. Suppose 7 = -n*j + 34. Calculate the greatest common divisor of 3 and j. 3 Suppose 44*h - 49*h = -100. Let m be -2*9 - (-1 + 1). Let t be (-3956)/m + 4/18. What is the greatest common divisor of t and h? 20 Suppose -5*g - 5*a = -130, -2*a - 16 - 4 = -g. Calculate the highest common divisor of g and 8. 8 Suppose -2*z + 0 = -4. Suppose -2*a - 4*h = 2*a - 36, -5*h = 20. Suppose -2*n - 14 = -k - 4*k, k + 3*n - a = 0. What is the greatest common divisor of k and z? 2 Let h(i) = -7*i + 3. Let q be h(-2). What is the greatest common divisor of q and 17? 17 Let k(r) = -r**3 + 9*r**2 - 4*r - 12. Let j be k(6). Calculate the highest common factor of 108 and j. 36 Let x = 97 - 67. What is the highest common factor of x and 5? 5 Suppose -21 = -4*w - 13. Calculate the greatest common factor of w and 2. 2 Let s(o) be the second derivative of o**4/12 - 5*o**3/6 + o**2 + 3*o. Let z be s(6). What is the greatest common divisor of 24 and z? 8 Let c(o) = 3*o**2 - 3*o + 1. Let y be c(-5). Calculate the greatest common factor of 13 and y. 13 Let b(u) = -7*u**3 + u**2 - u - 1. Let w be b(-1). Let i(d) = -3*d + 16. Let v be i(4). What is the highest common divisor of v and w? 4 Let h(o) = 0*o - o - o**2 + 12*o**3 + 2*o. Let b be h(1). What is the highest common factor of b and 84? 12 Let k(g) = g + 6. Let v be k(-6). Suppose -f = -v*t + 2*t - 5, -4*f - 5*t = -17. Let c = 39 - f. What is the greatest common divisor of 12 and c? 12 Let v be (-6258)/(-49) - (-2)/7. Suppose -v = -5*o - 4*g + 2*g, 4*g = 4*o - 80. Calculate the highest common factor of 6 and o. 6 Let l = 29 + 7. What is the highest common divisor of 144 and l? 36 Suppose -173 = -5*c + 7. What is the greatest common divisor of c and 24? 12 Let a be 40/(-18) - (-6)/27. Let b be a*1*-3 + 1. Let z be 2/1 + 2 + -5 - -22. Calculate the greatest common factor of b and z. 7 Let w = 705 - 485. Let y = 372 - w. What is the highest common divisor of y and 19? 19 Suppose 3*v - 2*v = s - 108, 0 = -s - v + 116. Calculate the greatest common factor of s and 16. 16 Let s(r) = -r**3 + 7*r**2 + 7*r + 7. Let i be s(8). Let o be -1 + -1*(0 - i). Let l be (-1)/o + 92/8. Calculate the greatest common factor of l and 12. 12 Let h = 187 - 127. Suppose -4 = -4*w + 2*q, 3*w - 5*q = -3*q + 4. Let n be (2 - w) + 9 - -1. Calculate the highest common divisor of h and n. 12 Suppose 4*z + 15 = 23. Let a be (154/3)/((-1)/(-6)). Suppose -a = -6*r + z*r. What is the highest common divisor of r and 11? 11 Suppose -2*j - 5*u = -19, 3*j - 12 = -4*u + 6. Let r(o) = j*o + 4 - 4 + 0*o - o**2 + 4. Let l be r(3). Calculate the highest common divisor of 9 and l. 1 Let s(a) = a**2. Let l be s(0). Suppose 5*t - 2*r + l*r - 575 = 0, -4*t - 4*r = -488. Calculate the greatest common divisor of 13 and t. 13 Suppose 0 = -9*d - 0*d + 63. Calculate the greatest common factor of d and 1. 1 Let q(g) = -25*g - 1. Let y be q(1). Let p be y/1*1/(-2). Suppose -l - 2*c + 9 = 0, -3*l - c + 19 + 18 = 0. What is the greatest common divisor of p and l? 13 Suppose -l - l + 4 = 0. Let f be (-38)/(-4) + 1/(-2). Let j = -6 + f. Calculate the greatest common factor of l and j. 1 Let p = -69 - -71. What is the greatest common factor of p and 44? 2 Let b be 4/6 - 7/(-21). Calculate the highest common factor of 8 and b. 1 Let c = -28 - -31. What is the highest common divisor of 3 and c? 3 Let s = 1 + 3. What is the greatest common divisor of 36 and s? 4 Suppose -55 = 4*r - 9*r. Suppose 2*j - 3*j = -1, k - r = -2*j. Suppose 0*p + 3*m = 4*p - 19, -m = 5. Calculate the greatest common divisor of k and p. 1 Let o = 63 - 43. Suppose 0 = 4*n - 0*y + 3*y - 28, 5*y + 50 = 3*n. Calculate the greatest common divisor of n and o. 10 Let a(j) = -j - 5. Let r be a(-5). Suppose -b = -6*b + 200. Let g be b + r + -3 + 3. What is the highest common factor of 100 and g? 20 Suppose 2*x + 22 = 4*c, 2*c + 8 = -4*x - 2*c. Let a = x + 11. What is the highest common divisor of a and 54? 6 Suppose -9*k + 60 + 12 = 0. Calculate the highest common divisor of 24 and k. 8 Let a(m) = -m**3 + 22*m**2 - 17*m - 24. Let j be a(21). What is the highest common divisor of j and 45? 15 Suppose -5*v + 6 = -4*v. Calculate the greatest common divisor of v and 18. 6 Suppose 4*o - 1 - 11 = 0. Let x be 2*o/(-6) - -1. Suppose -3*v + 241 = -x*v - d, -2 = -d. Calculate the highes
{ "pile_set_name": "DM Mathematics" }
t 1000000. 8000000 Let o be 178131 + 4/1 + -2. Suppose -17778 + 160286 = 4*k - 2*s, 2*s = 5*k - o. Let h = 84375 + k. What is h rounded to the nearest 10000? 120000 Let u = -1387 - 551. Let l = u - -1856.9. What is l rounded to 0 dps? -81 Let t = 8.916994 - 0.217106. Let p = 8.7 - t. What is p rounded to five decimal places? 0.00011 Let z = -0.16255 - -0.148956. Round z to 3 decimal places. -0.014 Let h = 0.2324 - 0.3. Let c = 0.2814 - h. What is c rounded to 1 dp? 0.3 Suppose 1204*p = 1203*p + 5. Suppose -4*m + 3*i - 2429 = 0, i = -p*m + 3*i - 3038. Round m to the nearest ten. -610 Let y = -111 + 753. Let f = y - 589.4. What is f rounded to 0 dps? 53 Let v = 20 + -8. Suppose -v*m = 7005 - 28605. Suppose -h = -5*r - m, -4*r - 1440 = 2*h - 0*h. What is r rounded to the nearest 100? -400 Let r = 23 - 20.4. Let d = r + -50. What is d rounded to the nearest ten? -50 Suppose 196*y = 200*y - 5*c + 118340, -29598 = y + 2*c. What is y rounded to the nearest 1000? -30000 Let h = -5.3556 + -0.1144. Let v = -5.46996775 - h. What is v rounded to six decimal places? 0.000032 Let m = -26.6991644 - -26.699. Round m to five dps. -0.00016 Let k = -2052.9993128 - -2053. What is k rounded to 4 dps? 0.0007 Let o = -14.963776487 + 7246424700.963776487. Let i = o + -7246424646.999999365. Let c = i + -39. What is c rounded to 7 dps? 0.0000006 Let g = -9.19952 + 9.28. Round g to 2 dps. 0.08 Let c = -1076 + 1074.156. Let h = c + 0.741. Round h to 1 decimal place. -1.1 Let m be (-90)/30 - (-471291)/(-3). Round m to the nearest ten thousand. -160000 Let k = -0.692 + -0.008. Let r = 0.9 - k. Let j = r - 1.5999568. What is j rounded to six dps? 0.000043 Let y = 460.2 - 562. Let v = 16.8 + y. Let n = -84.999859 - v. Round n to 5 dps. 0.00014 Suppose -6*f - 150 = -12*f. Suppose f*l - 43560000 = 37*l. Round l to the nearest 100000. -3600000 Let w be ((-9)/27)/((-2)/(-30)). Let c be (-14 - -184)*((-4)/w)/(-2). Let k = c + -151. What is k rounded to the nearest ten? -220 Let w = -2487 - -1441. Let a = -1052.23 - w. Round a to one decimal place. -6.2 Let y = 137406.923 - 137640. Let l = y - -0.177. Round l to the nearest ten. -230 Let t be -91 - (2/3)/((-7)/21). Let o be (t - 1)/((-6)/(-470000)). What is o rounded to the nearest 100000? -7100000 Let k(o) = 3*o**3 + 5*o**2 + 3*o + 9. Let h be k(6). Let c = h + -90. Let r be ((-40000)/6)/(2/c). What is r rounded to the nearest 100000? -2600000 Let l = 2278.2468 + 0.4532. Round l to the nearest 10. 2280 Let a = -256820.169648937434 - -3.104644297434. Let r = 256817 + a. Let o = r + 0.065. Round o to 7 decimal places. -0.0000046 Let w = -33078469.028 + 33150804. Let u = w + -72719.9720318. Let z = u - -385. Round z to 5 dps. -0.00003 Let c = -194720772 + 132443682. Let l = c + 62277058.0000001. Let p = 32 + l. What is p rounded to 7 decimal places? 0.0000001 Let m = 6489 + -6488.99991273. Round m to five decimal places. 0.00009 Let z = 4795411 + -2396987. Let w = -2398421.800827 + z. Let j = -2.2 + w. What is j rounded to four decimal places? -0.0008 Let u be 9375/2*23/(184/938240). Suppose 15*r = 40*r - u. Round r to the nearest 1000000. 22000000 Let w(v) = 2246*v**2 - 84*v - 216. Let j be w(-68). Round j to the nearest 1000000. 10000000 Let a = -12458 - -12526.31. Let w = 68 - a. Let o = 0.415 + w. Round o to two dps. 0.11 Let n = -6.055 - -1053.455. Round n to the nearest one hundred. 1000 Let q = 0.759773 + -0.778. What is q rounded to four dps? -0.0182 Let m = -8624.897392 - -8625. Round m to two dps. 0.1 Let p be ((-4)/(-22) - 0) + (-16737026)/(-11). Suppose -p = -9*c + 16*c. Let k = c - -105364. Round k to the nearest 10000. -110000 Suppose 3*p = -3*f + 5*f + 41, 0 = 3*p + 4*f - 35. Let q = p - 13. Suppose -10*a + 18018 + 11282 = q. What is a rounded to the nearest 100? 2900 Let u = -0.223 + 233.223. Let g = 5768004046 + -5768003813.0000129. Let z = g - u. Round z to 6 dps. -0.000013 Let l = -17313.000015186 - -17313. What is l rounded to seven dps? -0.0000152 Let o = -3338 + 4871. Let l = -1721.6 + o. Round l to the nearest ten. -190 Let f = 3505.5000141252 - 3505.5. Round f to 6 dps. 0.000014 Let w = -184535875106244.0000005 + 184535964440464. Let o = -89334260 + w. Let m = 40 + o. Round m to 7 dps. -0.0000005 Let w(a) = a**2 + a + 36097. Let s be w(0). Let m be 240/112 - 1/7. Suppose 108097 - s = m*h. What is h rounded to the nearest ten thousand? 40000 Let z = 0.6642 + -0.664197429. What is z rounded to 7 dps? 0.0000026 Suppose 0 = k + 3, 0 = 5*q + k - 4970 + 70113. Let w = -18678 - q. Round w to the nearest one thousand. -6000 Let r = 4534.0000005012 - 4534. What is r rounded to 7 dps? 0.0000005 Let z = 0.1 + -0.1. Let v = 1856.0000075 - 1856. Let g = z - v. Round g to 6 decimal places. -0.000008 Let r = -60125244 + 60125245.10000114. Let w = -0.06 - 1.04. Let d = r + w. Round d to 7 dps. 0.0000011 Let k(z) = 7*z + 21200000. Let r be k(0). What is r rounded to the nearest 1000000? 21000000 Let d = 13034.135 - 12743.2. Let k = d - 290. Round k to one dp. 0.9 Let l = -45.8 - -4.8. Let r = 43904 + -43862.9952. Let x = l + r. Round x to three decimal places. 0.005 Let f = 9112775720 + -9112775718.2569993772. Let q = 1.743 - f. What is q rounded to seven dps? -0.0000006 Let j = 4115 + -4114.9969612. What is j rounded to 3 dps? 0.003 Suppose 1436357 = 2*n + 328357. What is n rounded to the nearest 1000000? 1000000 Let s = 65634.63813 - 65634. Round s to one dp. 0.6 Let z = 0.0353 + 58.9647. Let n = 1008556613.9999937 - 1008556555. Let v = z - n. Round v to 6 dps. 0.000006 Let f = 0.227 - 0.378. Let l = 0.138 + 0.012. Let p = l + f. Round p to three decimal places. -0.001 Let u = 10298 + -11089.9. What is u rounded to the nearest one hundred? -800 Let x be 8/6*804/(-8). Let c be (1 + (-48)/(-9))*-12. Let b = x + c. Round b to the nearest ten. -210 Let j = 3016.00004759 + -3016. What is j rounded to five dps? 0.00005 Suppose 3*j - 9111241 = -2*m, 5*m - 9*m + 9111233 = 3*j. Let v = j - 8037083. What is v rounded to the nearest one hundred thousand? -5000000 Let w = 8.186000117 - 8.186. Round w to 7 dps. 0.0000001 Let j = -0.274 - -0.654. Let g = -9 + 8.68. Let n = g + j. What is n rounded to 1 dp? 0.1 Let m(h) = 33756*h + 2972. Let z be m(-112). What is z rounded to the nearest one million? -4000000 Let h = -130.154 + 156.79. Let i = h + -30.37. What is i rounded to the nearest integer? -4 Let w = -2744.7 + 2616.92. What is w rounded to the nearest 10? -130 Let o = 352679.83797564 - 352678.35. Let c = o + -1.488. Round c to six dps. -0.000024 Let g be 3/6 - (-676)/8. Let r = g - -15. Let c be (r/24)/(1/3)*46400. What is c rounded to the nearest one hundred thousand? 600000 Let g = 6.598 + -3.98. Let d = -57.6 + 55. Let m = g + d. What is m rounded to 2 decimal places? 0.02 Let p be (-12541)/(-11)*42 - (-20)/110. Let t = 574884 - p. What is t rounded to the nearest ten thousand? 530000 Let v = -148 - -145. Let h be (-2)/v + 646672/(-78). Round h to the nearest 1000. -8000 Let g = -7 - 408. Let n = g + 415.0219. Round n to 2 decimal places. 0.02 Let z = -0.601 - 308.399. Let h = 309.0379 + z. Round h to three decimal places. 0.038 Let j = -4999472699284.999956 + 4999447465448. Let v = j - -25233889. Let i = v + -52. Round i to five decimal places. 0.00004 Let c = 192 + -180. Suppose -m = -c*m + 70400000. What is m rounded to the nearest one million? 6000000 Let w = 4968.999998191 - 4969. Round w to 7 decimal places. -0.0000018 Let m = -69.7 - -67. Let k = 0.577 + 4.423. Let o = k + m. Round o to 0 decimal places. 2 Let g = -4.22 + 5.151. Round g to 1 decimal place. 0.9 Let f = 55.28365 + -55.62. Round f to two dps. -0.34 Suppose 4*q - 5*r = -31, -14 = -5*q + 2*r - 40. Let t be q/8 - ((-9)/2 - 1). Suppose 5*o - t*b = 1254 + 781, b + 1223 = 3*o. Round o to the nearest one hundred. 400 Let s = -8.5 - -8.4654. Let d = s + 0.051. Round d to 2 dps. 0.02 Suppose 0 = -3*c + 3*g + 16 + 14, 2*c = g + 16. Let l be (-14)/189*-9 + 20876/c. Round l to the nearest 1000. 3000 Let i = -29.5 + 47. Let h = 2944.7 - 2950. Let k = h + i. What is k rounded to zero dps? 12 Let m = -4.789523141 + 4.7895. Round m to seven dps. -0.0000231 Suppose -17*o + 76770 = -97236 - 82507. Round o to the nearest ten thousand. 20000 Let t = -282554.118562 + 282205
{ "pile_set_name": "DM Mathematics" }
? 153083 What comes next: -9747, -19431, -29115, -38799, -48483, -58167? -67851 What is the next term in -87256846, -174513692, -261770538, -349027384? -436284230 What comes next: 156090, 158361, 160632, 162903, 165174? 167445 What is the next term in 19584660, 19584662, 19584664? 19584666 What comes next: -116887, -116802, -116675, -116488, -116223, -115862, -115387, -114780? -114023 What comes next: 154316, 154325, 154334, 154343? 154352 What is the next term in 123307299, 246614597, 369921893, 493229187, 616536479, 739843769, 863151057? 986458343 What comes next: -2730521, -5461040, -8191559, -10922078, -13652597, -16383116? -19113635 What is the next term in -348071, -696134, -1044197? -1392260 What is next in -11469541, -22939077, -34408613, -45878149, -57347685? -68817221 What is the next term in -2154, -7393, -15684, -27027, -41422? -58869 What comes next: 7495746, 7495726, 7495706? 7495686 What comes next: 2002855, 2002899, 2002981, 2003107, 2003283? 2003515 What is next in 20510, 164497, 555314, 1316375, 2571094, 4442885, 7055162, 10531339? 14994830 What is the next term in 1509763, 1509767, 1509771, 1509775? 1509779 What is next in 7901083, 7900985, 7900873, 7900741, 7900583, 7900393, 7900165, 7899893? 7899571 What comes next: -371, -739, -1107, -1493, -1915? -2391 What comes next: 272337678, 272337675, 272337672, 272337669, 272337666? 272337663 What is next in -49185, -196687, -442517, -786669, -1229137? -1769915 What comes next: 142659907, 142659910, 142659915, 142659922, 142659931, 142659942, 142659955? 142659970 What comes next: 103446504, 206893010, 310339516, 413786022, 517232528? 620679034 What is the next term in 851, 9436, 23735, 43742, 69451? 100856 What comes next: 54020, 108103, 162186, 216269? 270352 What is next in -8805372, -17610744, -26416116, -35221488, -44026860? -52832232 What is the next term in -139645, -279247, -418851, -558457, -698065, -837675? -977287 What is the next term in 673, 1198, 1593, 1858? 1993 What comes next: -113819, -112625, -111431, -110237, -109043, -107849? -106655 What comes next: 1919668324, 1919668325, 1919668326? 1919668327 What comes next: 47098, 94213, 141350, 188509? 235690 What is the next term in -130133, -130428, -130723, -131018, -131313, -131608? -131903 What is next in 8343814, 8343824, 8343834, 8343844? 8343854 What is the next term in 3506906, 3506917, 3506930, 3506945, 3506962? 3506981 What comes next: 292313, 292110, 291907, 291704, 291501? 291298 What comes next: -56767, -113639, -170705, -228043, -285731? -343847 What comes next: -455, -4473, -16045, -39167, -77835, -136045, -217793? -327075 What is the next term in 5706, 5697, 5656, 5559, 5382, 5101, 4692, 4131? 3394 What comes next: -36387973, -36387971, -36387969, -36387967? -36387965 What comes next: 12858578, 25717160, 38575742? 51434324 What comes next: -705, -3617, -8457, -15225? -23921 What comes next: 651474, 1302911, 1954322, 2605713, 3257090? 3908459 What is next in -13869, -39014, -107263, -240168, -459281? -786154 What is next in 7646373, 30585470, 68817295, 122341848, 191159129, 275269138? 374671875 What comes next: -879508, -1759016, -2638524, -3518032, -4397540, -5277048? -6156556 What comes next: 1361445, 2723156, 4084867, 5446578, 6808289? 8170000 What is next in -9951, -10029, -10093, -10137, -10155, -10141, -10089? -9993 What is the next term in -4194, -8536, -12856, -17142, -21382? -25564 What is the next term in 51165, 102202, 153239, 204276? 255313 What comes next: 7168, 14273, 21342, 28357, 35300, 42153? 48898 What is the next term in -2639, -19560, -65247, -154082, -300447, -518724? -823295 What comes next: -1701, -3457, -6379, -10461, -15697, -22081, -29607, -38269? -48061 What is the next term in 48, -269, -288, -9, 568, 1443? 2616 What is the next term in -136300, -272639, -409148, -545911, -683012, -820535? -958564 What is the next term in -551899, -551908, -551915, -551920, -551923, -551924, -551923? -551920 What is next in 6602, 7142, 7646, 8096, 8474? 8762 What is the next term in 21291813, 42583623, 63875433, 85167243, 106459053, 127750863? 149042673 What is next in 195975, 783819, 1763565, 3135219, 4898787, 7054275? 9601689 What is next in 2340777, 4681526, 7022275? 9363024 What is the next term in -5148841, -10297673, -15446495, -20595301, -25744085, -30892841, -36041563, -41190245? -46338881 What is next in -40717, -164285, -370701, -659965, -1032077, -1487037, -2024845? -2645501 What comes next: 624751543, 624751541, 624751539, 624751537? 624751535 What is the next term in 15223, 15111, 14931, 14683, 14367, 13983, 13531? 13011 What is the next term in 20872, 20792, 20712, 20632, 20552? 20472 What is next in -1379508, -1379537, -1379616, -1379769, -1380020, -1380393, -1380912, -1381601? -1382484 What is the next term in -500416, -1000837, -1501260, -2001685, -2502112, -3002541, -3502972? -4003405 What comes next: -102666, -204049, -305432? -406815 What is next in 476, 3320, 10984, 25856, 50324, 86776? 137600 What comes next: -3760, -7367, -10974, -14581, -18188, -21795? -25402 What comes next: -6828, -13656, -20466, -27258, -34032? -40788 What is the next term in 5321, 11321, 17323, 23327, 29333? 35341 What is next in 136, 171, 106, -59? -324 What is next in 2956, 3257, 3594, 3973, 4400, 4881, 5422? 6029 What is the next term in -4368, -8780, -13192, -17604? -22016 What is next in -9816367, -19632733, -29449099, -39265465, -49081831? -58898197 What is the next term in 374074, 748086, 1122138, 1496248, 1870434, 2244714, 2619106, 2993628? 3368298 What is the next term in 301689395, 301689398, 301689401, 301689404? 301689407 What comes next: -365961979, -731923955, -1097885931, -1463847907, -1829809883? -2195771859 What comes next: -1770322, -1770394, -1770466, -1770538? -1770610 What comes next: -8348603, -16697197, -25045791, -33394385, -41742979? -50091573 What is next in 12671, 25161, 37717, 50369, 63147, 76081, 89201? 102537 What is the next term in -2329340, -2329325, -2329310, -2329295, -2329280, -2329265? -2329250 What is next in 2345, 2137, 1893, 1601, 1249, 825, 317, -287? -999 What is the next term in 485807, 485781, 485731, 485651, 485535, 485377, 485171? 484911 What is next in -83894, -84020, -84230, -84524, -84902, -85364, -85910? -86540 What comes next: -174450278, -174450273, -174450270, -174450269, -174450270, -174450273? -174450278 What is the next term in -114617074, -229234146, -343851218, -458468290? -573085362 What is the next term in -5832, -11892, -18186, -24714, -31476, -38472, -45702? -53166 What is the next term in -2485487, -2485485, -2485483, -2485481? -2485479 What is next in 5632, 5373, 5114? 4855 What is the next term in 264086, 264011, 263884, 263705? 263474 What is the next term in -47167, -47366, -47577, -47800, -48035? -48282 What is next in 1566, 7265, 16902, 30591, 48446, 70581, 97110? 128147 What is the next term in 78636, 158320, 238004, 317688? 397372 What is next in 62, -22, -46, 98, 518, 1322, 2618? 4514 What is next in -188110, -187583, -187056, -186529, -186002, -185475? -184948 What is the next term in 1762540, 1762546, 1762552, 1762558? 1762564 What comes next: -15451, -15888, -16325, -16762? -17199 What comes next: 196, 1258, 3032, 5518, 8716? 12626 What is the next term in 403954, 807883, 1211812, 1615741, 2019670? 2423599 What is the next term in -9299, -7080, -3385, 1786, 8433? 16556 What comes next: -14939, -15006, -15093, -15206, -15351, -15534, -15761, -16038? -16371 What is next in -960966, -1921929, -2882894, -3843861? -4804830 What comes next: -622, -997, 1214, 8333, 22682? 46583 What comes next: 4993, 10224, 15455? 20686 What comes next: -22563946, -22563919, -22563868, -22563781, -22563646, -22563451? -22563184 What is the next term in 6063891, 6063894, 6063897, 6063900, 6063903? 6063906 What is next in -173554, -173545, -173540, -173539, -173542? -173549 What is next in 352410, 704808, 1057206, 1409604, 1762002, 2114400? 2466798 What is the next term in -2933, -5718, -8353, -10820, -13101, -15178, -17033? -18648 What is the next term in 3107604, 3107606, 3107608, 3107610, 3107612? 3107614 What is the next term in -8570, -35633, -80902, -144371, -226034, -325885? -443918 What is next in 303847, 1215311, 2734417, 4861165, 7595555
{ "pile_set_name": "DM Mathematics" }
et h = 2084 + -2130. Let x = h - k. Round x to the nearest integer. -23 Let o(c) = c**2 - 19*c + 27. Let s be o(18). Suppose -71 + 8 = -s*a. Suppose a*n - 35000 = 14*n. Round n to the nearest 1000. -5000 Let c(g) = -513*g**3 - 59*g**2 - 9*g + 46. Let d be c(-28). Let q = 1475418 - d. Round q to the nearest 1000000. -10000000 Let q = 4.009 - -0.091. Let d = -3.7 + q. Let s = -0.4088 + d. What is s rounded to three dps? -0.009 Let w be (6/(-12))/(2/(-16)). Let k be w + 3 + (-38)/2. Let b be -12*(-2)/(k/87). Round b to the nearest ten. -170 Let i(n) = 1311112*n**3 + 3*n**2 - n - 6. Let y = 9 - 12. Let g be i(y). What is g rounded to the nearest one million? -35000000 Let s = 9513 + -9530.838. Let i = 1.532 - s. What is i rounded to the nearest integer? 19 Suppose 4*m - 3 + 11 = 0. Let c be (2961/(-105))/(m/90). Suppose -2*l - l + c = 0. What is l rounded to the nearest 100? 400 Let x(p) = -p**2 + 19*p - 7070708. Let w be x(0). Suppose -2*n + 5*n = 4082124. Let o = w + n. What is o rounded to the nearest one hundred thousand? -5700000 Let p = -103.2 - -93.83. Let h = p + -86.93. Round h to the nearest ten. -100 Let c = 26.80979 + -26.659. What is c rounded to 3 dps? 0.151 Let x = 1.670531 + -1.7216. Round x to four decimal places. -0.0511 Let u = -5.33 - -9.92. Let b = -0.0402971779 + -4.5496967921. Let k = u + b. What is k rounded to 7 dps? 0.000006 Let a = -2381 + 2381.000006122. Round a to 7 dps. 0.0000061 Let l = 970688.671178145 + -0.011178145. Let q = 970640.6599965 - l. Let y = 48 + q. What is y rounded to six dps? -0.000004 Let k = 2193558.22617566 - 2193330.8262. Let b = 227.4 - k. Round b to five decimal places. 0.00002 Let x = 79780.202332 + 344.787768. Let g = -80140 + x. Let w = g - -15. Round w to 3 decimal places. -0.01 Let v be (-9)/(9/68) + -2. Let l be (-2184056)/v*(-70)/(-4). Suppose -14*p = -l + 14. What is p rounded to the nearest 10000? 40000 Let f = -206479 - -206478.339055. Let g = 0.66 + f. What is g rounded to 4 decimal places? -0.0009 Let x = 83808.997 - 83343. Let j = x - 466. Round j to three decimal places. -0.003 Let x = -2.6467 + 2.84732. Round x to 3 decimal places. 0.201 Suppose 9*y = 8*y - 51. Suppose -j = -2*j - 45. Let r = j - y. Round r to zero decimal places. 6 Let n = 18.373 + 0.497. Round n to 0 decimal places. 19 Let q = -12.30609 + -344.70041. Let l = 357 + q. Round l to 4 decimal places. -0.0065 Suppose 0 = -58*v + 56*v - 24. Let k(m) = m**3 + 15*m**2 + 26*m - 5. Let j be k(v). What is j rounded to the nearest 10? 120 Let x = 320631 + 242523. Let m = -10846 - x. Round m to the nearest one hundred thousand. -600000 Let t(s) = 2*s - 5. Let a be t(3). Let f be a/(-77)*-11 + (-34650001)/7. What is f rounded to the nearest one hundred thousand? -5000000 Let u = 20.5 + -19. Let g = -1.77 + u. Let t = g + 0.17. What is t rounded to one dp? -0.1 Let m = -143 - -155. Let a = 228748684.99999963 + -228748697. Let p = a + m. Round p to 7 dps. -0.0000004 Let z = 29140.21 - 29326. What is z rounded to the nearest integer? -186 Let d = 17.713 - 1215.413. Round d to the nearest one hundred. -1200 Let b = -16830 - -16829.84279. What is b rounded to two decimal places? -0.16 Suppose -2*n - 11 = -3*c, -4*n - 3*c - 11 = -34. Let b be -51398 + 0/(-3) + (-4)/n. Round b to the nearest ten thousand. -50000 Let a = 34 - -3.7. Let m = -37.6999068 + a. What is m rounded to 6 dps? 0.000093 Let q = -86 - 39. Let t = q + 109.2. Round t to the nearest 10. -20 Suppose 4*o = 11*o + 7*o - 2668820000. Round o to the nearest 1000000. 191000000 Let i = 14.10583 - -103.89313. Let a = i + -118. What is a rounded to four dps? -0.001 Let q(w) = -28*w + 2. Let d be q(-7). Let x be d/24 + 1/(-4). Suppose x*o - 5527981 - 39832019 = 0. Round o to the nearest 100000. 5700000 Suppose 6*t - i - 239689 = 368016, -4*t - 4*i = -405132. Round t to the nearest ten thousand. 100000 Let r = 993 - 306. Let m = 687.00000383 - r. What is m rounded to six dps? 0.000004 Let k = 2696 - 17772. Let i = -15077.09966 - k. Let m = i + 1.1. Round m to 4 decimal places. 0.0003 Let d = -77 - -58. Let o = 19.011 + d. Let m = o + -0.01100109. Round m to seven decimal places. -0.0000011 Let q = 16240252 + 16729748. Round q to the nearest one million. 33000000 Let t = 32.92 - 33. Let p = t + -0.01. Let c = 0.0964 + p. Round c to 3 decimal places. 0.006 Let f = 21674604428.3259996182 + -21674604426. Let m = f - 2.326. What is m rounded to 7 dps? -0.0000004 Let g = 3.141 + -3.1391612. Round g to five decimal places. 0.00184 Let c = 1126917.400997702 + -1126918.678. Let u = -1.277 - c. What is u rounded to 7 dps? 0.0000023 Suppose 11 = -3*x + 5. Let n be ((x/(-4))/(-1))/((-9)/(-54)). Let p be (-2)/n - (68144/12 + 2). What is p rounded to the nearest 100? -5700 Let n = -73123 - -73576.47. What is n rounded to the nearest 10? 450 Let q = -109.9739 + 0.7759. Let p = 108.22 + 0.78. Let y = q + p. What is y rounded to 2 decimal places? -0.2 Let r be 6/12 - (-2)/4. Let n be (r - (3 - 3))*92. Suppose -97*g = -n*g + 263500. What is g rounded to the nearest one thousand? -53000 Let y(v) be the second derivative of 5*v**4/3 - 2*v**3/3 - 13*v**2 - 78*v. Let w be y(-14). What is w rounded to the nearest 100? 4000 Suppose 4*s = -2*x - 94818, -147*s - 2*x + 71096 = -150*s. What is s rounded to the nearest one thousand? -24000 Let h = 41.6784 + 0.0416. Let w = 1.77 - h. Let k = 40 + w. Round k to 2 dps. 0.05 Let l = -3.2867 - -6887.7867. What is l rounded to the nearest 1000? 7000 Let l(h) = -2061*h**3 - 5*h**2 - 6*h - 18. Let s be l(-4). Let y = s + -289430. What is y rounded to the nearest ten thousand? -160000 Let b = -0.15062 + 0.10662. Round b to two decimal places. -0.04 Let j(n) = n**2 + 4*n + 19. Let g(w) = w**2 + 5*w - 2. Let a be g(2). Suppose -3*r - 6*l = -l + 71, 0 = -3*l - a. Let m be j(r). Round m to the nearest 100. 200 Let v(h) = 61372*h**2 + 12*h - 12. Let k be v(-8). Round k to the nearest 10000. 3930000 Suppose 11 - 11 = 15*w. Suppose -6*g + 10*g + 29000000 = w. What is g rounded to the nearest one hundred thousand? -7300000 Suppose 8 = -4*p, 0 = -2*d - 27*p + 28*p + 65202. What is d rounded to the nearest one hundred thousand? 0 Let r = 3275.00000103216 - 3275. Round r to 7 dps. 0.000001 Let y(n) be the third derivative of 0*n + 0*n**3 - 8*n**2 - 55/12*n**6 - 1/12*n**4 + 0 - 1/60*n**5. Let a be y(-2). What is a rounded to the nearest 1000? 4000 Let c = 28.2 - 24. Let h = c - 14.2. Let w = -10.000002 - h. What is w rounded to 6 decimal places? -0.000002 Let h = 4126669 + -2467769. Round h to the nearest 10000. 1660000 Let j = 23614 + -23331.69. Round j to the nearest ten. 280 Let v = 10116.2 - 5616.1. Let x = 4384.445 - v. Let q = x - -116. What is q rounded to two decimal places? 0.35 Let t = 226.94976 + -227. Round t to two decimal places. -0.05 Suppose 134594831 + 145746769 = 385*q. Round q to the nearest 100000. 700000 Suppose k - 10451 = 5*o + 3*o, -3*o = 2*k - 20845. What is k rounded to the nearest one thousand? 10000 Let i = -60.1 + 101.4. Let p = i - -71.8. What is p rounded to the nearest 10? 110 Let r = -126.78 + 148.585. What is r rounded to the nearest 10? 20 Let l be (-6 - (-324)/(-21))*(-13 + 67213). What is l rounded to the nearest one million? -1000000 Let m = -37.998 + 38. Let y = -0.25 + 0.26. Let a = m + y. What is a rounded to two decimal places? 0.01 Let d = -1.761 + -0.209. Let h = 1.96999795 + d. Round h to 7 dps. -0.0000021 Let m = -0.061165 - -0.06173611. What is m rounded to four dps? 0.0006 Let b = -1.9363 - 0.0637. Let j = -2.254 - b. What is j rounded to 1 decimal place? -0.3 Let w = -593 - -132. Let x = 437.9 + w. What is x rounded to the nearest integer? -23 Suppose 0 = 4*a + 3*m - 714224, -a - 3*m = -164648 - 13899. Let x = 24493 + 103848. Suppose x = -11*d - a. What is d rounded to the nearest one thousand? -28000 Let n = -384.023544 + 73.023557. Let c = n + 311. Round c to 6 decimal places. 0.000013 Let k = -186.58 - -404.52. Let m = k + -2.94. Let g = 196.3 - m. Round g to zero dps. -19 Let p = 85875 - 85875.000047131. What is p rounded to six decimal places? -0.000047 Let z = 0.11525968 + -0.61527666. Let p = 0.5 + z. Round p to 6 dps. -0.000017 Let g = -0.335 - 3.165. Let a = 4.51 - g. What is a rounded to 1 decimal place? 8 Let w(q
{ "pile_set_name": "DM Mathematics" }
v and (363/10)/u + -2. 30 Let z(r) = 3*r - 6. Let f be z(4). Let n(l) = 2*l**2 - 4*l - 4. Calculate the lowest common multiple of n(f) and 12. 132 Let f be 1 + (-6)/2 + 28. Let n = f + -12. What is the smallest common multiple of n and 22? 154 Suppose v + 24 = -2*v. Calculate the smallest common multiple of 6 and 63/(-12)*v/3. 42 Suppose 32 + 36 = 4*p. Let l = -6 + p. Calculate the lowest common multiple of 12 and l. 132 Suppose -3*a - 14162 = -2*i, 0 = -2*i + 5*a + 5731 + 8439. Let l be ((-2)/30)/(2/212427). Let v = i + l. What is the common denominator of 13/3 and v? 30 Suppose -84 = -3*l + 3*w, -28 = -l - w - 6. Suppose 0*c - c = 4*m - l, 0 = -5*m + 5. Calculate the common denominator of 139/6 and c + (1/4)/1. 12 Suppose 6*s = 52 + 32. Suppose -5*j + 28 = -3*j. What is the lowest common multiple of j and s? 14 Let j be -2 - (9429 - -2 - 2). Let i = j + 150973/16. What is the common denominator of i and 71/18? 144 Suppose 0 = 3*h - g - 6 - 7, 3*h + 4*g - 23 = 0. What is the least common multiple of 6 and h? 30 Let r(p) = -p**3 - 12*p**2 - 11*p - 3. Let t be r(-11). Calculate the common denominator of 75/t*10/15 and -111/14. 42 Let h = 431213/40 - 10781. Find the common denominator of h and -149/18. 360 Suppose -2*f + 5*q + 20 = -f, 5*f - 100 = -3*q. Let i = 1 - -11. What is the least common multiple of f and i? 60 Let n be 4/(-8) + 47/(-2). Let f be (4 + -2)/(n/(-146633)). Let z = f + -12227. Calculate the common denominator of 79/18 and z. 36 Let c = 1765642/130509 - -4/7677. Let m = -2048610423/53517292 + -1/1574038. Let u = m + c. Calculate the common denominator of u and 95/6. 12 Suppose 4*w - 2*w - 12 = 0. Let i = w + -4. Calculate the smallest common multiple of i and 4. 4 Let g = -1026/7 + 297/2. Find the common denominator of g and -22. 14 What is the common denominator of (-399)/(-54) - 6/18 and 73/52? 468 Suppose -2*c - 11 = -0*x - x, 0 = -3*x - 2*c + 25. Let h = x - 4. Calculate the lowest common multiple of 4 and h. 20 What is the least common multiple of 11 + (-3)/(3/(-5)) and 10? 80 Let y = -3 - -33. Let v = y + -14. Let s(a) = a**2 + 2*a - 4. What is the smallest common multiple of v and s(-4)? 16 Let g(f) = f**3 - 6*f**2 + 8*f + 3. Calculate the common denominator of ((-6)/(-15))/((-4)/(-23)) and g(4). 10 Let t = 11/4 + 11/4. What is the common denominator of 1/2 and t? 2 Suppose 2 = l + l. Suppose -4*o - l + 41 = 0. What is the least common multiple of 7 and o? 70 Suppose 0 = -4*k + 5*g - 279, 3*g = 3*k + k + 289. Let o = -27 - k. What is the smallest common multiple of 2 and 3/(-9) + o/3? 16 Let v be 6/(-8) - 7128/(-32). Find the common denominator of v/(-12) + -1 + 0 and -32/9. 18 Let k(t) = -t + 2. Let x be k(4). Let n be (-20)/(-9) + x/9. Suppose 2*m - 8 + n = 0. What is the smallest common multiple of 3 and m? 3 Let v = 1621/160 - 1/160. What is the common denominator of v and -15/14? 56 Let p(a) be the first derivative of 2*a**2 + a - 3. Let f be p(2). Let t = f + -57. Find the common denominator of 25/7 and t. 7 Calculate the common denominator of -1 - 0 - (74/(-18) - -1) and ((-4)/(-11))/(2/21). 99 Let z = -58 - -73. Calculate the smallest common multiple of z and 27. 135 Find the common denominator of 115/6 and -26*(-4 - 39/(-8)). 12 Let p(i) = -i. Let g be p(4). What is the lowest common multiple of 10 and (g - 6/(-2)) + 15? 70 Let j = 57 - -51. Let a be 2/(-1 - (-113)/j). Let h = -48 + a. Calculate the common denominator of h and 23. 5 Suppose -p = -2*w - 3*p + 16, w + 3*p - 8 = 0. Let l be (-1 + 3 - 3)/(-1). Let f(g) = 19*g + 1. What is the smallest common multiple of f(l) and w? 40 Let z = 12811/12 - 1067. Find the common denominator of -19/22 and z. 132 Suppose -3*i = -2*r + 22, 2*r + 0*i + i - 6 = 0. Calculate the lowest common multiple of r and (3 + 3)*9/6. 45 Calculate the common denominator of -43/4 and 3609/(-1512) - (-3)/7. 24 Suppose -1 = 5*v - 4*v. Let k(c) = -c - 1. Let z be k(3). Calculate the common denominator of -20/9 and v + z/(-6) + 25. 9 Suppose 7 = 4*z + 3*k, -2*k - 2*k + 3 = -z. Calculate the smallest common multiple of z and 4. 4 Let b = 33 + -17. What is the lowest common multiple of 22 and b? 176 Let a = -17785 + 320039/18. Calculate the common denominator of a and 43/30. 90 Suppose -5*u = -2*j + 23, 0*u = -3*j - 3*u + 3. Suppose -2*w + 30 = 3*a + 2, 20 = j*w. Let q(f) = -3*f - 3. What is the lowest common multiple of q(-4) and a? 18 Calculate the common denominator of 91/8 and -3*((-183)/(-18) - 0). 8 Let a = -2 - -5. Let q(c) = -4*c + 1. What is the lowest common multiple of a and q(-1)? 15 Let w = 8206 + -98407/12. Find the common denominator of -111/10 and w. 60 Let u be 3/(-2)*(-150)/9. Let t = u + -3. Let g(f) = -11*f**3 - 2*f**2 - 2*f - 1. What is the smallest common multiple of t and g(-1)? 110 Let b = 55/26 + -189/286. Find the common denominator of b and 38/61. 671 Let m = -152994/22547 + -1/6442. Let x = -352759/8710 + 2/4355. What is the common denominator of m and x? 14 Calculate the common denominator of 103/20 and (-2)/(-32)*-49*(-21)/(-42). 160 Suppose 4*d = -b - 10, 3*d - 2*b = b. What is the common denominator of d/(-3) + (-25)/(-2) and -83/8? 24 Suppose -3*n + 4*n - 5 = 5*c, 0 = -c + 2. Let q be (-18 + 0)*n/(-6). Let w = -27 + q. What is the least common multiple of 18 and w? 18 Let a = -46053/1738 - 2/869. What is the common denominator of a and -73/9? 18 Suppose -3*p = -71 + 11. What is the smallest common multiple of (-2)/8 + 130/8 and p? 80 Let o(w) = w**2 - 4*w - 3. Let j be o(4). What is the common denominator of (27 - j)*2/56 and -77/20? 140 Let o be 5/(-2)*(-8)/4. Suppose o*l = l - 92. Let s = -11 - l. Calculate the lowest common multiple of s and 8. 24 Suppose 0 = -0*d - d. Let r(n) = n + 22. Let x be r(d). What is the least common multiple of 8 and (-6)/(x/(-8) - -2)? 8 Suppose g - 3*c = -3, -3*g - 2*g - c + 17 = 0. Let i(y) = -2*y + 21. What is the smallest common multiple of i(5) and g? 33 Let a = -13 + 19. Let v be (a/385)/((-20)/877775). Let g = -4820/7 - v. What is the common denominator of g and 7/8? 88 Let h = -42 + 48. Suppose 0 = -z + 4*z - 30. Calculate the least common multiple of h and z. 30 Let b be (45/(-12))/(3/(-8)). Suppose v - b = -v. Calculate the smallest common multiple of 2 and v. 10 Suppose 7*r - 4*r - 27 = 0. Suppose -6 = -3*t + r. Calculate the least common multiple of 5 and t. 5 Let g = -2 + 3. Suppose n - 2 = -g. Let q = n - -7. Calculate the smallest common multiple of q and 6. 24 Let r(i) = -i**3 - 2*i**2 + 1. Let a be r(-1). Suppose 5*y - 19 + 4 = a. Find the common denominator of 133/18 and y/(-22)*15/(-9). 198 Calculate the least common multiple of 18 and (1/(-1)*1)/(1/(-86)). 774 Calculate the common denominator of -73/4 and ((-20)/12)/((-33)/9). 44 Suppose 0 = -0*y - 3*y. Suppose y*k = k - 5. Suppose 21 = c + 2*c. What is the lowest common multiple of c and k? 35 Suppose 0 = 2*g - 132 - 230. What is the least common multiple of g and 7? 1267 Suppose w + 3*h = 27, -4*w + 100 = 4*h - 0*h. Suppose 6*u - 4*u - 4*m - w = 0, 0 = m - 5. What is the lowest common multiple of 18 and u? 198 Let b = -15/71 + -4667/426. Find the common denominator of b and 16/49. 294 Suppose -2*g = -0*g - 28. What is the common denominator of -8*g/(-20) - -3 and -23/6? 30 Let g = -14524855/11841 - 35/3947. Let a = g + 1209. Find the common denominator of a and -67/3. 3 Let b(y) = -y**3 + 4*y**2 + 5*y + 4. Let w be b(5). Suppose v + w*u - 15 - 3 = 0, v = -3*u + 15. Calculate the least common multiple of v and 5. 30 Let k = -2372 + 18949/8. Let o = 67117/12 - 5585. What is the common denominator of k and o? 24 Suppose w + 4 = 5*g, 8*w - 20 = 4*w + 2*g. Suppose -w = -3*i - 0. What is the smallest common multiple of i and 2? 2 What is the smallest common multiple of 8 and 3*-1 - (-12 + 4)? 40 Let s(c) = 2*c + 28. What is the lowest common multiple of 20 and s(-4)? 20 Let d = 10295/412 + 27/103. What is the common denominator of -13/20 and d? 20 Let s = -6 + 22. Let h = -7 + s. Calculate the least common multiple of 8 and 2/(-6) + 21/h. 8 Let y = 3904/10007595 - 6993481447/15088374. Let s = -3/3185 - y. Let g = s + -488. Calculate the common denominator of g and 125/18. 18 Suppose 2*r - r = -5, 0 = -o + r - 13. Suppose 572*k + 32 = 576*k. Calculate the lowe
{ "pile_set_name": "DM Mathematics" }
d 1754. 1754 What is the greatest common factor of 267220006 and 7994? 1142 Calculate the greatest common factor of 50782590 and 144. 18 Calculate the highest common divisor of 46164801 and 3951. 1317 What is the greatest common factor of 57391 and 253312? 1979 Calculate the highest common factor of 35585130 and 6888. 1722 What is the highest common divisor of 62642791 and 5795? 1159 Calculate the highest common divisor of 1723239 and 91392. 357 What is the greatest common divisor of 6128030 and 2370? 790 Calculate the highest common divisor of 136896 and 12772. 124 Calculate the highest common divisor of 60886252 and 21. 7 Calculate the greatest common divisor of 80592 and 77745. 219 What is the greatest common divisor of 14637920 and 13200? 880 Calculate the greatest common divisor of 11001 and 1597539. 57 Calculate the highest common factor of 3041948 and 119743. 793 Calculate the greatest common factor of 3732 and 39414. 6 Calculate the greatest common factor of 710331 and 315250. 97 What is the highest common factor of 825424393 and 2558? 1279 What is the greatest common factor of 310816 and 25696? 352 What is the highest common divisor of 1540137 and 4886? 349 What is the greatest common factor of 528 and 1132703? 11 Calculate the greatest common factor of 95593575 and 105. 105 What is the greatest common divisor of 9105536 and 704? 704 Calculate the highest common factor of 765 and 13729285. 85 What is the highest common factor of 11800 and 9442775? 25 What is the greatest common factor of 8 and 15236? 4 What is the highest common divisor of 4346 and 402393967? 2173 What is the greatest common factor of 15976 and 42604? 4 What is the greatest common factor of 6 and 266403? 3 Calculate the highest common factor of 192 and 1420908. 12 Calculate the highest common divisor of 838325470 and 5210. 5210 What is the greatest common factor of 228879 and 62181? 1323 Calculate the greatest common factor of 9495291 and 3081. 39 What is the highest common divisor of 21842 and 114? 2 What is the greatest common factor of 195 and 3906390? 15 Calculate the greatest common divisor of 139404 and 5832. 12 Calculate the highest common factor of 176750 and 2532250. 1750 What is the highest common factor of 21654513 and 108? 27 Calculate the greatest common divisor of 118233620 and 20. 20 Calculate the greatest common factor of 1106 and 704664674. 1106 Calculate the highest common divisor of 57427924 and 6062. 866 What is the highest common factor of 56052 and 122? 2 What is the highest common divisor of 208957 and 4431? 7 Calculate the greatest common factor of 178806807 and 414. 207 Calculate the greatest common divisor of 2738 and 29416258. 74 What is the greatest common factor of 6269612 and 752? 188 Calculate the greatest common factor of 13787 and 87227. 17 Calculate the highest common divisor of 3525 and 34930635. 705 Calculate the highest common factor of 66 and 228702914. 22 Calculate the highest common divisor of 125912 and 28904. 8 Calculate the greatest common divisor of 849955375 and 17. 17 What is the highest common divisor of 180 and 4967220? 60 Calculate the greatest common divisor of 11260 and 12820. 20 Calculate the greatest common factor of 284253 and 5289. 123 Calculate the highest common factor of 3628200 and 4440. 120 What is the highest common divisor of 9376224 and 2184? 312 What is the greatest common factor of 464 and 8562656? 464 Calculate the greatest common factor of 85925 and 4513763. 491 What is the greatest common divisor of 5 and 277393525? 5 Calculate the highest common factor of 44994960 and 12386. 1126 What is the highest common factor of 79135 and 268090? 1615 Calculate the greatest common divisor of 1809253 and 1426. 31 Calculate the highest common divisor of 1967 and 35463324. 281 Calculate the greatest common divisor of 1131386 and 666. 74 What is the greatest common factor of 132 and 1631382? 6 What is the highest common factor of 8063825 and 49560? 2065 Calculate the greatest common factor of 583 and 1203378. 11 Calculate the highest common factor of 91 and 233149. 7 What is the greatest common factor of 4730 and 90170? 10 What is the greatest common factor of 59980694 and 9830? 1966 What is the highest common divisor of 4115711 and 16144? 1009 What is the greatest common factor of 836 and 1445092? 44 Calculate the greatest common factor of 253797 and 837. 93 Calculate the greatest common factor of 204508 and 1828102. 2494 What is the greatest common divisor of 488136 and 175736? 88 What is the greatest common factor of 53613581 and 371? 371 What is the highest common divisor of 411381 and 453177? 387 What is the greatest common factor of 12 and 8940832? 4 Calculate the highest common divisor of 144 and 287418. 6 What is the greatest common divisor of 23888310 and 705? 15 What is the greatest common factor of 162 and 54201366? 54 Calculate the highest common factor of 119 and 3614051. 7 Calculate the highest common factor of 41656 and 2952. 328 Calculate the highest common factor of 399867 and 21632. 13 Calculate the highest common factor of 52585 and 390. 65 Calculate the highest common factor of 39702 and 6108. 3054 What is the greatest common factor of 40 and 9064226? 2 Calculate the greatest common factor of 283 and 27694663. 283 Calculate the highest common divisor of 6446186 and 4103. 373 What is the greatest common factor of 54761768 and 1504? 376 What is the highest common divisor of 174 and 29563122? 174 Calculate the highest common factor of 3723291 and 92547. 117 Calculate the highest common factor of 398 and 12731423. 199 What is the highest common factor of 32 and 72474520? 8 Calculate the highest common factor of 21578304 and 17. 17 Calculate the highest common factor of 29034 and 2475. 9 What is the highest common factor of 63678641 and 2301? 767 What is the greatest common factor of 467 and 27410098? 467 Calculate the highest common factor of 126873040 and 16. 16 What is the highest common divisor of 49178342 and 1096? 274 Calculate the highest common divisor of 278 and 1048538. 2 Calculate the highest common divisor of 64 and 17462752. 32 What is the highest common factor of 17728400 and 432? 16 What is the greatest common factor of 1744512 and 189? 21 What is the highest common divisor of 203660 and 9010? 170 What is the greatest common factor of 24138885 and 30? 15 What is the highest common factor of 4714425 and 21275? 575 Calculate the highest common factor of 1898697 and 1573869. 3867 What is the highest common divisor of 136157 and 675647? 2569 Calculate the highest common divisor of 13192 and 73438215. 1649 Calculate the greatest common divisor of 96 and 53393136. 48 Calculate the highest common divisor of 2410 and 995812. 482 What is the greatest common factor of 46 and 79529423? 23 What is the highest common divisor of 125356 and 112772? 484 What is the greatest common factor of 10442865 and 75? 15 Calculate the highest common factor of 145598712 and 15260. 3052 Calculate the greatest common divisor of 624761271 and 7368. 921 Calculate the greatest common divisor of 5250303 and 45. 9 Calculate the greatest common divisor of 1013 and 5689. 1 Calculate the greatest common factor of 5934 and 242604. 138 What is the greatest common factor of 8576 and 646528? 128 Calculate the greatest common divisor of 818216 and 1672. 152 What is the highest common divisor of 253971417 and 8582? 4291 What is the highest common divisor of 1287 and 118179? 9 Calculate the greatest common divisor of 84095870 and 930. 310 Calculate the greatest common factor of 33696608 and 2552. 2552 What is the highest common divisor of 10 and 1177622? 2 What is the highest common factor of 841717905 and 129? 129 Calculate the highest common factor of 4251207 and 51. 51 Calculate the highest common factor of 30051 and 32093355. 1113 What is the highest common divisor of 738 and 161659116? 18 Calculate the greatest common factor of 279367200 and 23100. 2100 Calculate the highest common factor of 122460 and 528. 12 Calculate the greatest common divisor of 22815 and 78603759. 1521 What is the greatest common divisor of 31 and 8694694? 31 Calculate the greatest common divisor of 101 and 295640231. 101 Calculate the greatest comm
{ "pile_set_name": "DM Mathematics" }
is divided by 208741? 42 Calculate the remainder when 42453185 is divided by 893. 858 Calculate the remainder when 109419 is divided by 2957. 10 Calculate the remainder when 42483 is divided by 313. 228 What is the remainder when 778337 is divided by 155660? 37 What is the remainder when 7372976 is divided by 6307? 93 What is the remainder when 291850118 is divided by 2524? 2522 What is the remainder when 1714945 is divided by 107184? 1 What is the remainder when 13605525 is divided by 340? 85 What is the remainder when 2502708 is divided by 2502681? 27 What is the remainder when 38036527 is divided by 6080? 47 Calculate the remainder when 146172113 is divided by 121. 120 What is the remainder when 829590 is divided by 1351? 76 What is the remainder when 648470 is divided by 80922? 1094 Calculate the remainder when 5798691 is divided by 618. 615 Calculate the remainder when 63564 is divided by 265. 229 What is the remainder when 3297129 is divided by 265? 264 Calculate the remainder when 2170004 is divided by 2559. 2531 What is the remainder when 57065 is divided by 679? 29 What is the remainder when 539879 is divided by 26879? 2299 Calculate the remainder when 11114207 is divided by 521. 235 What is the remainder when 9926537 is divided by 645? 632 What is the remainder when 165554 is divided by 952? 858 Calculate the remainder when 13603 is divided by 877. 448 Calculate the remainder when 95851 is divided by 9563. 221 What is the remainder when 8753345 is divided by 6? 5 What is the remainder when 180676206 is divided by 1697? 10 What is the remainder when 309627227 is divided by 1045? 1042 Calculate the remainder when 590732732 is divided by 4416. 4412 What is the remainder when 2448589 is divided by 30? 19 What is the remainder when 895117 is divided by 40687? 3 What is the remainder when 2308987 is divided by 585? 577 Calculate the remainder when 53444 is divided by 2611. 1224 What is the remainder when 1646647 is divided by 22? 13 What is the remainder when 58095601 is divided by 39? 31 Calculate the remainder when 55411033 is divided by 2927. 2923 Calculate the remainder when 1359570 is divided by 5150. 5120 What is the remainder when 4517531 is divided by 446? 443 Calculate the remainder when 494713 is divided by 784. 9 What is the remainder when 32110 is divided by 1031? 149 Calculate the remainder when 465509 is divided by 5867. 2016 Calculate the remainder when 8443788 is divided by 1015. 3 What is the remainder when 41502 is divided by 39708? 1794 Calculate the remainder when 2014062 is divided by 5611. 5324 Calculate the remainder when 3075471 is divided by 1537426. 619 Calculate the remainder when 18076748 is divided by 262. 58 Calculate the remainder when 46078 is divided by 44671. 1407 What is the remainder when 459720 is divided by 5108? 0 What is the remainder when 67805 is divided by 15? 5 Calculate the remainder when 133188891 is divided by 903. 3 Calculate the remainder when 75509758 is divided by 12. 10 What is the remainder when 24332 is divided by 136? 124 What is the remainder when 5322 is divided by 5239? 83 What is the remainder when 24260845 is divided by 474? 103 Calculate the remainder when 18330 is divided by 333. 15 Calculate the remainder when 1532554 is divided by 399. 394 Calculate the remainder when 2924576 is divided by 2630. 16 Calculate the remainder when 142238182 is divided by 82. 80 Calculate the remainder when 2031029556 is divided by 17. 14 Calculate the remainder when 69337 is divided by 13863. 22 Calculate the remainder when 3473396 is divided by 1736617. 162 What is the remainder when 33534 is divided by 863? 740 What is the remainder when 117929 is divided by 1389? 1253 Calculate the remainder when 86679 is divided by 6659. 112 What is the remainder when 97528 is divided by 97513? 15 Calculate the remainder when 119536506 is divided by 11. 1 Calculate the remainder when 307416 is divided by 1087. 882 Calculate the remainder when 7887466 is divided by 3943655. 156 What is the remainder when 299706 is divided by 553? 533 Calculate the remainder when 26701462 is divided by 281. 280 What is the remainder when 21074 is divided by 3012? 3002 Calculate the remainder when 33531 is divided by 3039. 102 Calculate the remainder when 2337687 is divided by 106258. 11 What is the remainder when 5841206 is divided by 83? 81 What is the remainder when 220065 is divided by 395? 50 Calculate the remainder when 4730868 is divided by 3076. 3056 Calculate the remainder when 57192739 is divided by 1840. 19 What is the remainder when 440248 is divided by 273? 172 What is the remainder when 10490552 is divided by 621? 620 Calculate the remainder when 21025 is divided by 329. 298 Calculate the remainder when 504544 is divided by 707. 453 What is the remainder when 415809 is divided by 1175? 1034 Calculate the remainder when 186457 is divided by 20705. 112 Calculate the remainder when 1529217 is divided by 254760. 657 What is the remainder when 613558 is divided by 153350? 158 Calculate the remainder when 45689 is divided by 10452. 3881 What is the remainder when 2079553 is divided by 519881? 29 Calculate the remainder when 12117920 is divided by 6. 2 What is the remainder when 525591 is divided by 72? 63 Calculate the remainder when 307768030 is divided by 159. 157 Calculate the remainder when 315733 is divided by 697. 689 What is the remainder when 36954 is divided by 720? 234 What is the remainder when 1320260 is divided by 578? 108 Calculate the remainder when 8770169 is divided by 38. 35 What is the remainder when 543599 is divided by 721? 686 What is the remainder when 1258996 is divided by 1258940? 56 Calculate the remainder when 6258346 is divided by 8915. 16 Calculate the remainder when 86334 is divided by 8259. 3744 What is the remainder when 4251693 is divided by 104? 69 Calculate the remainder when 596639 is divided by 13559. 43 Calculate the remainder when 253841481 is divided by 2242. 2241 Calculate the remainder when 279893 is divided by 6262. 4365 What is the remainder when 788293 is divided by 262373? 1174 What is the remainder when 373114 is divided by 641? 52 What is the remainder when 769881 is divided by 12824? 441 Calculate the remainder when 196064 is divided by 195127. 937 What is the remainder when 752670 is divided by 1280? 30 What is the remainder when 5375109 is divided by 84? 33 Calculate the remainder when 74337 is divided by 14865. 12 Calculate the remainder when 53179377 is divided by 19. 11 What is the remainder when 31509797 is divided by 50? 47 What is the remainder when 5490863 is divided by 1830271? 50 What is the remainder when 76701 is divided by 18203? 3889 Calculate the remainder when 2607709 is divided by 1750. 209 Calculate the remainder when 18336164 is divided by 426422. 18 Calculate the remainder when 4551622 is divided by 24. 22 What is the remainder when 160581090 is divided by 82? 80 What is the remainder when 2340548 is divided by 944? 372 What is the remainder when 1626294 is divided by 43? 34 What is the remainder when 3067816 is divided by 23967? 40 What is the remainder when 1439968 is divided by 2408? 2392 Calculate the remainder when 29738309 is divided by 14054. 45 Calculate the remainder when 40229091 is divided by 3352423. 15 Calculate the remainder when 37357 is divided by 36640. 717 What is the remainder when 2973358 is divided by 486? 10 Calculate the remainder when 4357095 is divided by 28110. 45 What is the remainder when 1782390 is divided by 132? 126 Calculate the remainder when 258650450 is divided by 22. 14 Calculate the remainder when 221117 is divided by 12284. 5 Calculate the remainder when 4224529 is divided by 1825. 1479 Calculate the remainder when 63235864 is divided by 5637. 5635 Calculate the remainder when 14915135 is divided by 573659. 1 What is the remainder when 49403679 is divided by 9? 6 Calculate the remainder when 185090 is divided by 30688. 962 What is the remainder when 25722285 is divided by 105853? 6 Calculate the remainder when 1473832 is divided by 625. 82 Calculate the remainder when 122790 is divided by 30570. 510 What is the remainder when 80395 is divided by 551? 500 What is the remainder when 719681 is divided by 228? 113
{ "pile_set_name": "DM Mathematics" }
or t. -4 Solve -4*x - 48 = 2*h, -5*h = x - 11 + 23 for h. 0 Solve 294*j + r = 297*j, -3*j - 2*r - 9 = 0 for j. -1 Solve -40415*v + 40416*v + 5*q = 1, 5 = 5*v - 4*q for v. 1 Solve 15 = 5*h - 2*p, -176*p + 172*p = 4*h - 40 for h. 5 Solve -42*d - 24 = 65*b - 62*b, b + 1 = -d - 7 for d. 0 Solve -12*a + 8*a + 2*w = -18, -5*a - 4*w = -29 for a. 5 Solve 3*n = 5*u - 14, -6*n + 109 - 97 = 0 for u. 4 Solve -17562*w - 3*h + 22 = -17563*w, -5*w - 22 = -5*h + 8 for w. 2 Solve 0 = -t - 3*n + 13, 99190*t - 5*n = 99186*t - 16 for t. 1 Solve 12913*c + 3 = 12911*c + x, 3*x = c + 9 for c. 0 Solve -6*p + 2*g - 2 = 0, 2*g - 55 = -3*p - 62 for p. -1 Solve 3*w = -5*k + 76 - 94, -3*k - 13 = 4*w for k. -3 Solve 4*y + 574*t - 572*t + 8 = 0, -9 = 5*y + 3*t for y. -3 Solve 11 = -r + 76*f - 75*f, -88*f + 470 = -5*r for r. -6 Solve -i = 3*v + 7, 2*v + 13 = 10*i + 19 for i. -1 Solve -f - 7 = -4*p, 3*f - 14 = -3*p + 25 for f. 9 Solve -23*h = 3*g - 3, 3*g - 15 + 5 + 7 = 5*h for h. 0 Solve -2031*v = -2026*v + 5*c - 20, 46*v = -5*c + 61 for v. 1 Solve -t - 3*u - 2*u + 4*u - 2 = 0, 3*t + 7*u = -18 for t. 1 Solve 0 = -3*r - 5*t + 10, -97*r = -99*r + 2*t - 4 for r. 0 Solve 4*q = m + 12 + 1, -2*m - 5*q = -13 for m. -1 Solve 13*l = 2*p + 76, 3*p - 249*l + 254*l = 33 for p. 1 Solve -3*f + 8 = -5*z, 3*z + 40 = -5*f + 8 for f. -4 Solve -19311*a + 19309*a + 4 = -4*t, -3*t = -2*a + 1 for a. -4 Solve -4*b = 9859*q - 9854*q - 52, -q - 3*b + 50 = 0 for q. -4 Solve -4*t - 28 = -4*b, 17*t - 3*b - 9 = 24*t for t. -3 Solve 0 = -3*m - 4*j - 26, -10*m + 109*j - 108*j - 15 = 0 for m. -2 Solve 7254*h - 5*b + 5 = 7256*h, -2*h = -4*b + 22 for h. -5 Solve 0 = -4*c - 2*m - 20, 0 = -59*c + 54*c + 6*m + 94 for c. 2 Solve -15 = 61*y - 58*y - 5*j, -4*j = -12 for y. 0 Solve -493 = -6*y - 2*d - 511, 2*y + 3*d + 20 = 0 for y. -1 Solve 34*n - 29*n + 26 = -2*s, -22 = 4*n + 2*s for n. -4 Solve 75 = -3*d - 12*q + 66, -2*d = 5*q + 3 for d. 1 Solve -6*k - 52 = -8*k + 5*h, -4*k - 18*h - 232 = 0 for k. -4 Solve -3*w = -j + 2, -188*j - 25 = -w - 184*j for w. -3 Solve 2333*j - 1 = -4*m + 2330*j, 3*j - 9 = 0 for m. -2 Solve -5*k + 35 = x + 4*x, 2*x + 10 = k for k. 8 Solve -5*j = 10*d - 3*j - 62, -5*d - 2*j + 27 = 0 for d. 7 Solve 0 = -w + 5*v - 17, 21*w - 2*v - 31 = 26*w for w. -7 Solve -207*y = -209*y - 2*u, 3*y + 4*u = -2 for y. 2 Solve -4 = -4*j - 2*x, 28*j - 29*j = x - 3 for j. -1 Solve 0 = -5*l - 4*w - 29, 99*l - 97*l + 7 = 3*w for l. -5 Solve c + 6 = q, -3*q - 80*c + 73*c = 32 for q. 1 Solve 5*m + 110 = 4*n + 135, 2*n + 30 = 6*m for n. 0 Solve 5*t + 5*i - 15 = 0, 4*t = 5*i - 21 + 51 for t. 5 Solve 4*p - 188*n = -187*n - 18, -4*n = -2*p - 44 for p. -2 Solve -3*h - 12 = 0, 0 = 80*d - 82*d + h + 16 for d. 6 Solve 3*i - 12 = -3*v, 668*v - 16 = 3*i + 667*v for i. -3 Solve 5*v + 2*j - j - 34 = 0, -v + 0*j + 50 = 5*j for v. 5 Solve 3*b - 29 = 4*z, 0 = -3*z - b + 126 - 151 for z. -8 Solve -2*g - 316*l + 16 = -312*l, 3*g + 16 = 4*l for g. 0 Solve 104*g = -3*q + 103*g - 15, 2*g = -3*q - 15 for q. -5 Solve 3*f + n = -2*n - 18, -22*f + 24 = -24*f - 5*n for f. -2 Solve 4*o - 13 = 90*d - 89*d, -13*d - 67 = -o for o. 2 Solve -2*o + 368 - 374 = -2*d, 3*d = 5*o + 11 for d. 2 Solve 3*t + 45 - 54 = 2*l, 3*t - 3*l - 15 = 0 for t. -1 Solve 4852*d - 15 = 3*w + 4849*d, -43 = 3*w + 4*d for w. -9 Solve -5*j - 175 = 5*f - 275, 4*j - 89 = 5*f for f. -1 Solve -14 = 6*z - h, 3*z - 567*h + 569*h = -2 for z. -2 Solve n = 2519*c - 2524*c + 41, -2*n - 3*c = -26 for n. 1 Solve -6*d = 5*o - 5, 5*o - 191*d + 189*d = -35 for o. -5 Solve 3*g + 9 = 3*l, 398*g - 400*g - 8 = -l for l. -2 Solve -5*v - 2094 + 2060 = 3*c, -4*v = 5*c + 35 for v. -5 Solve 0 = -4*h - 2*d + 2719 - 2719, 0 = -h - d for h. 0 Solve 5*n + 3*b + 7 = 0, -302*n + 305*n = 4*b + 19 for n. 1 Solve -2*w - 54 = -20*j, -28*w + 33*w - 18 = -j for w. 3 Solve -59*g - 5*d - 25 = -57*g, 0 = -3*d - 21 for g. 5 Solve 5*m = 2*y - 20, 9 = -3*y - 2*m + 1 for y. 0 Solve 3*h + 28 = 2*f, -f - h = -5*h - 29 for f. 5 Solve -4*c + 98 = 2*u + 206 - 84, 3*c + 11 = -5*u for u. 2 Solve -3*j + 12 = -2*p, j + 82*p - 81*p = 4 for j. 4 Solve 0 = 4*t - c - 71 + 106, -c - 46 = 5*t for t. -9 Solve 3*a = 4*i + 5, 10 = 5*a - 37*i + 32*i for a. 3 Solve -2*k + 23*d = -2*k - 3*k - 68, 2*d = -5*k + 32 for k. 8 Solve 5*w - 108*z - 16 = -112*z, 2*z - 14 = -4*w for w. 4 Solve 3*g + 27*s + 20 = 23*s, 4*g + s = -31 for g. -8 Solve 4*l - 3*w = 19, 0 = -2*l + 7*l - 2*w - 15 for l. 1 Solve 0 = 11*j + 3*g + 6, 6*g - g = -8 - 2 for j. 0 Solve -3*s - 2*o + 17 = 0, -3*o + 30 = 4*s + 6 for s. 3 Solve 5*v + 37394 - 37415 = 3*f, -2*f = -2*v + 10 for f. -2 Solve 0 = -3*y - 9, 3*d - 142*y + 118*y = 99 - 18 for d. 3 Solve f + 5 = 7, 5*f = 4*q + 6 + 8 for q. -1 Solve -4*r - 8 = 4*f, -98 = -5*r - 98 for f. -2 Solve 2*u - 13 = -179*x + 180*x, u = 2*x + 14 for u. 4 Solve 5*w - 31 = i, 0 = -97*w + 100*w - 18 for i. -1 Solve -3*t + 935 = -2*y + 910, 3*t - 20 = y for t. 5 Solve 5*x - 42*i - 20 = -37*i, -6*x = 2*i + 16 for x. -1 Solve 217*a = -5*c + 222*a - 10, 3*c - 10*a = -13 for c. -1 Solve 2*j + g + 11 = 0, -123*g + 120*g - 18 = j for j. -3 Solve -5*c - 15 = 5*w, 7*c + 5*w + 3 = -16 for c. -2 Solve -4*v - 3*z = 28 - 24, -5*v = 2*z + 5 for v. -1 Solve 2*o - 41*y - 24 = -43*y, -6 = -o + y for o. 9 Solve -z - 3*b - 6 = 0, 5*z - 84*b + 80*b - 27 = 0 for z. 3 Solve -i = 2*m + 3*m - 17, 5*i + m - 1974 + 1985 = 0 for i. -3 Solve 3*o = -2*h + 39, 4*o = h + 23 + 18 for h. 3 Solve 4*y - 40 + 4 = 3*b, -2*y + 2*b = -22 for y. 3 Solve -2*y = -3*m + 19, -17*m - 7 = y - 21*m for y. -11 Solve 4*r = -5*p, -2765*p = -2762*p - 8*r - 52 for p. 4 Solve -3113*c + 46 = 4*b - 3107*c, 0 = 4*c + 4 for b. 13 Solve 2*z - d = -0*z + 15, -2*d = z - 10 for z. 8 Solve r - 172*u + 4 = -174*u, 5*r + 6 = 4*u for r. -2 Solve 3*y + 61 = t + 72, 6*y + t = 34 for y. 5 Solve -3*q + 18*k - 22*k + 2 = 0, -4*q = -4*k - 12 for q. 2 Solve v = 5*w - 74, -4*w = -v + 15113 - 15173 for v. -4 Solve 2*s + 22 = 2*m, m - 2*s + 42 = 51 for m. 13 Solve -9 = -g - 4*z, 86 = 4*g - 4*z + 90 for g. 1 Solve 0 = -4*t - 3*l + 8, 15 = -333*t + 334*t + 4*l for t. -1 Solve -w + 5*q = -16, 9*q - 4*q = -15 for w. 1 Solve 3*c + 4*o + 3806 - 3829 = 0, c = 5*o - 5 for c. 5 Solve -17*x + 1 = -18*x, 0 = r + x for r. 1 Solve -3*q + 24*h = 31*h + 5, 3*q = -3*h - 9 for q. -4 Solve 18 = -2*k - 4*h, 2*k = 9*h + 5 + 16 for k. -3 Solve 0*v + 3 = -b - 5*v, 4*v = 4*b - 12 for b. 2 Solve 1486*y - 1489*y = 2*k - 26, -3*y = 5*k - 20 for k. -2 Solve t - 4*x - 22 = 0, -2*x = 5809*t - 5811*t + 38 for t. 18 Solve 0 = 4*k - 2*f + 28, -40 = 5*k - 100*f + 95*f for k. -6 Solve 5*v + 23 = -3*q, 58*v = 60*v + 8 for q. -1 Solve -v - 82 = 2*y - 73, 3 = 3*y - 4*v for y. -3 Solve q - 3*d = -13, -1219*d + 11 = -5*q - 1222*d for q. -4 Solve 3*p - 16 = 2*d, 4*p - 19 = -5*d - 13 for d. -2 Solve 3*g = 5*f - 20, 208 = 52*f + 2*g - 6*g for f. 4 Solve 2*f = 5*k - 50, -6*f - 4*k + 68 = 28 for f. 0 Solve -2*k - 5 = m, 74*k - 72*k - 6*m = -12 for k. -3 Solve -2*r + r = -4*g - 21 - 23, -80 = 8*g for r. 4 Solve 34*q = -3*s + 30*q + 23, -q + 6 = s for s. 1 Solve a + 2*g = 1, 207*a + 7 = 211*a + 5*g for a. 3 Solve -96*y = -f - 97*y - 12, 5*y = -3*f - 62 for f. 1 Solve 2*d + 1545*p - 24 = 1541*p, 5*d + 15 = 5*p for d. 2 Solve 629 - 161 = -97*c - 20*c, -5*d = -5*d + 4*d - c for d. -1 Solve -246*k + 243*k - u = -14, -3*k + 3*u + 30 = 0 for k. 6 Solve 295*b - 46 = -7*u + 298*b, -u - b - 2 = 0 for u. 4 Solve -2*f - 47 + 17 = -4*l, 0 = -3*l - f + 10 for l. 5 Solve -6*g + 14 = 2*k - 9*g + 5*g, -4*k - 2 = -2*g for k. 2 Solve -4*o = -2*l + 24, -4*l = -1078*o + 1074*o - 32 for l. 4 Solve -l + 73 = 4*s + 48, -s - 20 = -5*l for s. 5 Solve -2*b - j - 3 = -7, 4 = 5*b + j for b. 0 Solve 3*v + l = -10, -5 = -148*v + 146*v + l for v. -1 Solve 0 = -2*x - 2*q - 8, -73*q + 56 = -8*x - 75*q for x. -8 Solve -3*w + 3*q = 42, 5*w - 7*q + 8*q + 52 = 0 for w. -11 Solve 4*w - 5 = -k, 5*k - 2*w - 2280 = -2255 for k. 5 Solve 2*k + 38 = -4*i, -29*k + 32*k - 15 = 2*i for i. -9 Solve -3*x - 3*i + 56 = 56, -3*i + 9 = 0 for x. -3 Solve 6*h = 0, -6*b + 3*b + 4*h = -7*b - 16 for b. -4 Solve 0 = 2*m + 4*i + 18, -77*i = -2*m - 79*i - 12 for m. -3 Solve 68 = 3*v + 5*m, -4*v + 24*m = 62 + 338 for v. -4 Solve 5*h + 85 = -5*t, 0 = -74*t + 70*t + 3*h - 33 for t. -12 Solve 524*d - 528*d - 22 =
{ "pile_set_name": "DM Mathematics" }
Solve 0 = a*g - 4*u + 11, -2*u + 2 + 2 = -4*g for g. 1 Let n be (14/6)/(1/3). Let h be 2/14 + 48/n. Solve 2*p - h = 5*w, 0 = p - 2*w - 3 for p. 1 Let u be (-1)/((-15)/(-6) + -2). Let m be 5/2*(0 - u). Solve -m*w + 23 = o, -3 = 3*w - 15 for o. 3 Let k be 2/(-3) - 51/(-9). Solve y + 4*t = -t + 13, k*y - 5*t = 5 for y. 3 Let d = 16 - 12. Solve -d*s - a + 2*a - 9 = 0, 5*a - 28 = 3*s for s. -1 Let y be 2 - (0 - 0)/2. Let a be 4*1 - (4 - y). Solve -2*o + 1 = -3*z, -z - a*o = -5*z - 2 for z. -1 Let m(f) = 3*f**3 + f**2 + f - 1. Let g be m(1). Suppose 0 = 2*q - 41 - 15. Let k = q + -24. Solve -24 = k*n + d, g*n + 2*d + 36 - 8 = 0 for n. -5 Let x = 44 - 124. Let p be -3 - (x/4)/4. Solve 4*c - 2*f - 26 + p = 0, -2*f = 4 for c. 5 Let u be (12/5)/(2/5). Let y = 11 - u. Solve 5*g - 13 = -2*x - 2*x, -y*x - 40 = -5*g for g. 5 Suppose 3*f = 4*f - 21. Suppose -f = -c + 9. Solve -3*s - n - 9 - 10 = 0, -2*s - 5*n = c for s. -5 Let n be (-2)/(-8) - 15/(-4). Suppose -3*l - 2 + 17 = -n*f, -l = 5*f - 5. Solve -s - s = -t - 2, l*t + 10 = 2*s for t. -2 Suppose 0 = 5*c - 0 - 35. Let g = c - 3. Let m(z) = -z**3 + z. Let j be m(0). Solve j = -h - g*d - 12, h + 0*d + 8 = -3*d for h. 4 Let a = -44 - -47. Solve 0 = -2*w + n - 9, -a*w + n = 11 for w. -2 Let v be -20*(-4)/(-10)*-1. Let p = 11 - v. Let y be -2 - -3 - p - -2. Solve -l - 6 = 3*j, y*j - 2*j = 2 for l. -3 Suppose -2*n = -4*n + 14. Let l = n - 5. Solve -l*k = 3*r + 8, -6*k + 3*k = 3 for r. -2 Let d = -4 + 7. Suppose 2 = -d*b + 8. Let j be ((-6)/(-15))/(b/5). Solve 3*y + 4*o - j = 20, -2*y = -o - 3 for y. 3 Let n(t) be the second derivative of t**3/6 + 9*t**2/2 - 3*t. Let y be n(-7). Solve 0 = -2*i + 2*q + y*q - 10, 3*i - 2*q + 7 = 0 for i. -1 Suppose -b = -5*p + 8, -p - 20 = -b - b. Let d = b - -2. Solve 0 = y - 2*f - f + d, -21 = -y - 4*f for y. 1 Let c be (0/(-4))/(1/(-1)). Suppose c = -4*m - 16, -m = 3*s - 5 - 0. Solve s*x = -5*f - 19, f - 2*f + 3*x = -7 for f. -2 Let t be (12/(-10))/(5/(-50)). Solve 2*k + f + 0*f + t = 0, 2*f = -5*k - 28 for k. -4 Suppose 0 = -4*b + 9 + 7. Let a be b - 3/(-6)*-2. Suppose s = a*s. Solve 3*n - 13 = -t, -3*t + s*t + 4 = 2*n for t. -2 Suppose -3*g + 0*g = -18. Suppose -4*c = -c - g. Suppose -11 + 3 = -c*b. Solve -2*a - 4 = 3*h, 0 = a - b*a + 3*h - 6 for a. -2 Suppose -5*m - 8 = -d, -3*d - 2*d + m = -64. Solve -c + 2*c + d = -3*o, -5*o - 3*c - 27 = 0 for o. -3 Let b(q) = -4*q. Let g be b(-1). Let m(a) = a**3 + 6*a**2 - 4*a - 8. Let y be m(-6). Let z = 22 - y. Solve 0 - 4 = -2*h, -g*u - 5*h = z for u. -4 Let k be (9/(-6))/(2/(-4)). Suppose 0 = 5*a - 20, 0 = 3*j + a - 6*a + 17. Suppose -k*h = -5 - j. Solve -5*n = -2*o + 2, -4 = -h*n - 0*n + 2*o for n. -2 Let g be 204/6*(-2)/(-4). Solve -4*m = 4, g = 3*j - 4*m + 2*m for j. 5 Let w(y) = -y + 14. Let r be (-20)/6*(-6)/5. Suppose 4*l - r*i = 28, 3*i + 1 = -5*l + 52. Let f be w(l). Solve -o = -x - 1, -o + 36 = -4*x - f*o for x. -5 Let a(r) be the first derivative of r**2 - 2*r + 3. Let t be a(9). Solve 0 = 4*g - t, h + 2*g - 3 = 2*h for h. 5 Let u be (-12)/(-2) + 2*-1. Let m be (-1)/(-2)*(-4 + 4). Suppose 3*v - 2 - u = m. Solve -p + 2*i - 2 = 0, -2*p + v = -4*i + 3*i for p. 2 Let p(b) = -b**3 - 8*b**2 + 8*b - 6. Let i be p(-9). Let g be 0 - -2 - 3 - 2. Let s be (-2)/g - (-7)/3. Solve 4*l - i*x - s = -l, -2*l + 26 = 5*x for l. 3 Let z be (-6)/(-4) - (-3)/(-6). Suppose 19 = 5*n - 1. Suppose -g - n = -2*g. Solve 2*b = -8, z = g*k + b + 25 for k. -5 Let k be (8/6)/((-10)/105). Let i = k - -16. Solve 14 = w - 3*j, -i*w + 31 = -5*j + 8 for w. -1 Let x(v) = v - 4. Let i be x(7). Suppose 5*n + 0*n + 26 = 2*s, 24 = 4*s - i*n. Suppose 0 = 3*f - 2 - 7. Solve 5*z - 8*z - f = -2*j, -4*z + 3*j - s = 0 for z. -3 Let x be 0 - 1/((-2)/4). Let d(u) = -2*u + 5. Let p be d(-6). Suppose 5*j = p - 2. Solve 0 = -3*v + 5*y - 2*y - 6, 14 = -x*v - j*y for v. -4 Suppose y = 4*y - 54. Suppose -c + 4 = 0, 10 = 4*s + 2*c - y. Solve -2*z - 3*l + 2 = 3, -4*z + l + s = 0 for z. 1 Let h = 61 - 55. Solve 3*k - h = k + 3*n, 4*k + 4*n = -28 for k. -3 Suppose 42*z - 43*z = -8. Solve 0 = 2*y + j + 11, 5*y + z*j - 3*j = -40 for y. -3 Let b(m) = -3 + m + 3 + 1 - 2*m. Let z be b(-3). Solve -s = -z*n - 5, 5*n = 5*s - 2 + 7 for s. -3 Let p(m) = m**3 + m**2 + m. Let y be p(-2). Let t = 8 + y. Suppose -2*o + 4 - 2 = 0. Solve t*h + h = 9, 4*s = 3*h - o for s. 2 Suppose -16 = 5*n - 7*n. Let o be 8/3*3/2. Solve l = o*m - 1 - 2, -n = -5*m - 3*l for m. 1 Let v = 33 + -13. Solve 2*g = 3*g + i + 4, -5*g - v = -4*i for g. -4 Suppose 6 = -3*z + 15. Solve -12 = -3*n - n - g, z*g - 9 = -3*n for n. 3 Let u be 4 + -3*6/(-9). Suppose -u = -3*p + p. Solve -2*i = -p*i + 3*y + 9, 0 = -i - 4*y - 19 for i. -3 Let z(j) = j**2 - 9*j + 5. Let y be z(9). Let d = y + 1. Let k be 4/d + (-34)/(-3). Solve 4*g - 2*t - 1 = -9, 0 = g - 4*t - k for g. -4 Let q = 24 - 14. Solve 3*l = 2*k - 11, l + q = -5*k - 4*l for k. 1 Let k = -29 - -46. Solve 0 = -5*l + 3*w + k, l - 2 = w + 3 for l. 1 Let o(j) = -j**2 - 3*j + 2. Let p be (3/(-1))/(3 - 2). Let h be o(p). Solve 4*z - 3*y + h = 0, -6 = -0*y + 3*y for z. -2 Suppose 10*b - 10 = -s + 5*b, -6 = -s - b. Solve -s*r + 9 = -2*v - 14, -20 = 2*v - 4*r for v. -4 Let w(y) = -3*y - 1. Let f be w(-6). Let h = f + -1. Suppose 5*c + r = 8, 6*c - 4*r - h = 2*c. Solve 5*a = 4*n + 16, n + c*a + 0*a = 9 for n. 1 Let v(d) = -2*d**2 + 17*d - 5. Let i be v(8). Solve 0 = g - 5*t, -i*t + 7*t = 4*g + 16 for g. -5 Let x = -185 - -86. Let s be 1*8*x/(-18). Solve 3*r = -5*i - 14 + s, 4*r = 2*i + 14 for i. 3 Let a(q) be the second derivative of 1/4*q**4 + 5/2*q**2 - 1/2*q**3 + 1/20*q**5 + 0 - 4*q. Let v be a(-4). Solve 2*m = 2*n - 14, 4*m - v + 5 = -2*n for m. -3 Let x be (-4)/((-8)/6) + -3. Suppose -5*c + x*c + 15 = 0. Solve 4*h + 0*p - 2*p - 2 = 0, p - 4 = -c*h for h. 1 Suppose 0 = z - 1 - 1. Solve -3*c = o - 5, c = -z*o - 4 - 1 for o. -4 Let x be (0 + 0)/(0 + -1). Let d = -8 + 11. Solve d*r + 6 = -x*r + 5*u, 0 = 3*r - u - 6 for r. 3 Let v = -5 + 13. Suppose 2*x - v = -3*l + 3, 5*x - 19 = l. Suppose -5*w - 27 = -o - 0*w, -x*w = o + 18. Solve 4 + o = 3*j + 2*d, 0 = 5*d + 15 for j. 4 Let z = -7 + 8. Suppose -2*t + 7*g = 2*g - z, 3*g + 3 = 2*t. Solve t*k + 7 = 4*d + 2, k + 1 = d for k. 1 Let l be (-3 - 82/(-10)) + 1/(-5). Let x(p) = -3*p**2 - p - 2. Let o be x(-2). Let n be ((-3)/o)/(1/4). Solve 0 = -l*b - 4*d - n - 12, -4*b = d + 6 for b. -1 Suppose -6*v + 3*v = -12. Suppose 0 = -0*n + v*n. Solve -6*a + a - 15 = n, -4*h = a + 7 for h. -1 Suppose -2*x + h + 23 = -4*h, 4*h + 20 = 2*x. Let o be (11 - (-1 - -3)) + 3. Suppose x = -2*q + o. Solve -n - b = 4*n + 17, q*b + 4 = -4*n for n. -4 Let m be 1*(-2 - -30 - -2). Let s be m + 0 + -5 + 2. Solve 0 = -2*q - 5*v - s, q + 2*v + 12 = -q for q. -1 Let k be 0 + (0 - 0 - 0). Suppose k = 3*h - 4 - 5. Suppose -3*v + 10 = -v. Solve -u = -3*m - 3, 5*m - u + v = h*u for m. -1 Let x(y) = 4*y + 1. Let o be x(1). Solve -2*p - 2*p + o*h = 19, 7 = 2*p + 3*h for p. -1 Let r(a) = -a - 2. Let u be r(-8). Suppose -7 = -2*o + u*o - 5*k, 11 = 4*o + k. Solve -2*c + 3*v = 6, -o*c - 2*v = 1 - 5 for c. 0 Let b = 4 + 1. Solve -f = -0*f + c - 4, 0 = -b*f + 5*c - 20 for f. 0 Let w(n) = -n**3 - 9*n**2 + 5. Let q be w(-9). Solve -s = -q*b - 8 - 14, -4*s = 2*b for b. -4 Suppose 0 = -9*n + 7*n - 12. Let h be (-15)/n*6/5. Solve w - 16 = -5*m, h*m - 28 = 5*w + m for w. -4 Suppose -w = -6 - 0. Let k = -5 + w. Suppose -3*m = 4*t - 38, 5*t + k = 4*m + 2. Solve -3*b = -v - 13, 15 = -5*v + 4*b - m for v. -1 Let f = -14 + 7. Let b = f - -9. Suppose 2*v - 6*v + 12 = 0. Solve -v*x + 22 = b*h, 2*h + 28 = 6*h + 2*x for h. 5 Let z = 12 - 14. Let b be z + (5 - 2 - 1). Solve 19 = -v - 5*d - b, 2*v + 23 = -5*d for v. -4 Let w(t) = t + 22. Let u be w(-19). Solve -6*q + 2*l + 10 = -u*q, -4*l = 3*q + 20 for q. 0 Suppose -6*f = -76 - 2. Solve 2*o - 3 = -3*s - o, -3*s - 5*o + f = 0 for s. -4 Let f = 11 - 8. Solve t - o + 1 = 0, -4*t - f*o - 26 = -1 for t. -4 Let u = -1 - -1. Suppose 2*r = 4*o, -2*o - 6 = -5*r + 2*o. Solve u = -r*m - 0*m + v, -2*v + 1 = -5*m for m. -1 Let p be (10/4)/((-20)/(-16)). Solve -29 = -4*h + w + p*w, -4*h + w = -23 for h. 5 Suppose 0 = 5*l + 8 + 12, 3*i + 4*l + 10 = 0. Solve 4 = -3*o + 5*d - 3*d, 4*o = i*d - 6 for o. -2 Suppose 3*a - a = 0. Suppose a*r + 5*r = 0. Solve r*u
{ "pile_set_name": "DM Mathematics" }
+ 13*r = 8*r + 125, 10 = 5*r for l. 23 Solve -2*u + 9696 - 9636 = 4*w, u - w = -15 for u. 0 Solve 2*h - 5*o = 31, -25*h + 23*h - 13*o - 59 = 0 for h. 3 Solve -5*d - 7 = -4*o, 4*d = -12490*o + 12485*o + 19 for d. 1 Solve 1045*q + t = 1043*q + 15, 4*t = 2*q + 10 for q. 5 Solve -3*g - 18 = -y, -180*y + 184*y - 3*g = 9 for y. -3 Solve -8*l + 38 = y, 73*l = 68*l + 3*y + 2 for l. 4 Solve f - 6*f + 25 = -5*v, -3*f = -15 for v. 0 Solve 3*c - 13*k = -54, 5*c + 1201*k + 31 = 1203*k for c. -5 Solve 5*f + z + 22 = 0, -34*f - 6*z - 8 = -35*f for f. -4 Solve -r + 24 = -3*j, 50*j = 61*j - r + 96 for j. -9 Solve 4*m + 33 = -5*z, -m + 4*z = -78 + 39 for m. 3 Solve 2405*c - 3*j = 2403*c - 4, c - 3*j = -5 for c. 1 Solve -4*x = -4*f - 12, 4*f - 104 = 3*x - 115 for x. 1 Solve -5*j - 35 = -3*g, 4*j - 44*g + 39*g = -41 for j. -4 Solve -5*l = -32*b + 35*b, 4*b - 2*l = 26 for b. 5 Solve -y = 3*s - 19, 23*s - 22 = 29*s - 4*y for s. 3 Solve 4*i + 18 = -m, 3*m - 3537 + 3547 = -i for m. -2 Solve 0 = -5*c - 6*g + 37, -14 = 157*c - 161*c + 3*g for c. 5 Solve 4*v = 5*u + 10 + 15, -2*v = -4*u - 20 for v. 0 Solve -11 = 2*s - 3*w, 35*s - 37*s = 5*w + 19 for s. -7 Solve 3*p = i - 2, -p - 311*i + 314*i = -2 for p. -1 Solve -h + 13*y - 17*y = 0, 5*h - 4*y = h - 20 for h. -4 Solve 4*p + 24 = -4*m, 1940*p - 1935*p = 4*m + 6 for m. -4 Solve 0 = a + 6*j - 8*j - 6, 2*j - 6 = -2*a for a. 4 Solve 397*r - 402*r = h + 13, r = -5*h + 7 for h. 2 Solve 15*y = 18*y + 3*z + 12, 4*y - 4 = z for y. 0 Solve -3*j - u = -1, 1 = -2*j + 2584*u - 2585*u for j. 2 Solve -1797*d - 8*j = -1793*d, 2*j = -4 for d. 4 Solve p = z + 19 - 13, -2*p + 22 = -4*z for z. -5 Solve -330*r + 68 = 6*h - 335*r, -2*h + 32 = -4*r for h. 8 Solve 0 = -84*d + 82*d + 3*t + 27, 0 = -d - 4*t - 36 for d. 0 Solve -5*j + 4*c + 57 = 83, -18 = 5*j - 2*c for j. -2 Solve -119*b = 4*m - 122*b + 3, 2*m + b = -9 for m. -3 Solve 5*y + 3 = 2*k, -k + 2 = 1564*y - 1566*y for y. 1 Solve 18 = -2*l - 4*f, -4*l + 2*f + 1059 = 1045 for l. 1 Solve 3080*y - 3*r + 6 = 3083*y, 0 = 7*y + r + 4 for y. -1 Solve -5*j + 53 = -3*d, -14 = -49*d + 63*d for j. 10 Solve 0 = 3*v + 4*w + 23, 2*v - 31*w + 55*w = -58 for v. -5 Solve 244868*z - 244872*z + 4*n + 4 = 0, 5*n = -6*z - 38 for z. -3 Solve -y + 5*v = -22, 0 = 4*y - 237*v + 236*v - 12 for y. 2 Solve -2*j - 6 = -x, 12*x - 5*j - 153 + 119 = 0 for x. 2 Solve -16 = -2*q - 4*d, -4*q + 30*d - 35*d + 32 = 0 for q. 8 Solve 10*k + 100 = 4*y, 10*y - 52 = 4*k - 12 for y. 0 Solve -183*i = 10*d - 185*i + 16, -5*i = -4*d - 19 for d. -1 Solve -4*x + 1025*s - 1026*s - 8 = 0, 5*s = 5*x + 35 for x. -3 Solve -9*w + 5*w = -4*u - 36, -12 = 5*u + 13 for w. 4 Solve 5*i + 5 = 0, 14 = 221*f - 217*f - 2*i for f. 3 Solve -2*v + 182*r + 2 = 184*r + 14, -3*r - 18 = 0 for v. 0 Solve 0 = -5*n - 12*s - 19, s + 2 - 3 = -3*n for n. 1 Solve -5*n - 24 + 12 = 4*x, 2*x + 2*n = -8 for x. -8 Solve 2*z = -2*u - 20, -4*u + 20 = -20*z + 14*z for u. -4 Solve 4*i + 8 = -10*y + 12*y, -11 = y + 3*i for y. -2 Solve -5*y - 9 = -442*v + 446*v, -21 = -4*v + y for v. 4 Solve 4*j - 38 = -5*q - 15, -5*j + 46 = 12*q for q. 3 Solve -3*o = -27*d + 22*d + 1, 0 = -2*o + 3*d - 1 for o. -2 Solve -621929*u - 5*o + 10 = -621924*u, o - 8 = -4*u for u. 2 Solve 0 = -4*q + 2*s - 4, -30*q - 8 = -33*q - 4*s for q. 0 Solve -3*t + 8*r - 37 = -77, -20 = 2*t + 4*r for t. 0 Solve 35297*y + q - 2 = 35294*y, -4*y = q - 2 for y. 0 Solve -4*k + 3*c = 18, 361*k + 88 = 347*k - 2*c for k. -6 Solve 178 = 3*o + 2*b + 176, 0 = -o + 11*b + 24 for o. 2 Solve 5*r - 5*p = -45, 21*r - 25*r - p + 4 = 0 for r. -1 Solve w = 32*v - 31*v, v = -3*v - 3*w - 28 for v. -4 Solve g = -4*m - 25, -52*g = 3*m - 53*g - 4 for m. -3 Solve 2*b - 3*d - 18 = 0, -b - 5*d + 2503 = 2520 for b. 3 Solve 4*k = 4*c + 8, 5*c + 27 - 19 = 4*k for c. 0 Solve -4*l = 3*p + 29, 141*l - p = 155*l + 73 for l. -5 Solve 0 = f - 2*b + 294 - 308, 0 = 4*f + b + 25 for f. -4 Solve 6*n - 5*i = 35, -5*i + 10*i = 2*n - 15 for n. 5 Solve -3*q + 3 = g, -239 + 242 = 3*q - 5*g for q. 1 Solve 7123*g = 3*o + 7128*g + 46, -o - 18 = 2*g for o. -2 Solve 2*h - 22 = 3*j, -5*h + 88 = j + 67 for j. -4 Solve 2252*u + 12 = 2248*u - 4*y, 0 = -11*u + 4*y - 18 for u. -2 Solve a + 4584 = -2*f + 4571, 0 = -a - 4*f - 19 for a. -7 Solve -3*g = -4*l - 33, -9*g = -6*g + l - 33 for g. 11 Solve 0 = 5*s + 3*k + 8, 289*s - 286*s = 4*k + 1 for s. -1 Solve -483*t - 36 = -478*t + 4*b, 0 = -9*t + b - 73 for t. -8 Solve 2*l - 147 + 157 = -5*m, l = 5*m - 5 for l. -5 Solve -4*y + 4 = -4*i, 469*y - 10*i + 14 = 465*y for y. 4 Solve -4*i + 5*h = -0*i - 33, -92*h + 4 = -3*i - 94*h for i. 2 Solve -f = 0, -2*f + 0 + 6 = 3*j + 4*f for j. 2 Solve -4*x + 3*g = -18, -4 = -2*x - 1603*g + 1602*g for x. 3 Solve 5*r - 3394 = 5*u - 3399, -7*u + 3*r = -19 for u. 4 Solve -6*l + 9*j = 153, 411*l = 406*l - 5*j - 65 for l. -18 Solve 3*o - 171 = -2*y - 183, -5*y = 5*o + 20 for y. 0 Solve 32 = -4*r - 4*o, -39*o + 43*o = -5*r - 38 for r. -6 Solve -4*q - 3*j + 26 = 0, 0 = 1691*q - 1689*q + 4*j - 18 for q. 5 Solve 4*w = -5*j + 51, -4 + 6 = -642*j + 640*j for w. 14 Solve -5*k + 6*k + 19 = -4*f, -33*k + 33 = 0 for f. -5 Solve -6*v = -14*v + 3*v, 5*v = -2*l - 6 for l. -3 Solve 0 = -7*l - 2*b + 2, -2*l + 40 - 42 = -2*b for l. 0 Solve 385*p - 22 = -4*q + 388*p, 2*p = -2*q + 4 for q. 4 Solve -3*s = -5*v + 17, -2*s - 35*v + 6 = -34*v for s. 1 Solve -x = v + 1, -668 = 10*v - 9*v - 663 for x. 4 Solve 5*v - 25 = -5*y, 2*v - 21 = -12*y - 1 for v. 4 Solve 3*f = -5*v + 1, -6*v - 3 = -f - 7*v for f. 7 Solve -52 + 51 = -r + 4*j, -r = 4*j + 7 for r. -3 Solve -k = 3*h + 9, -5*k + 3 = -4*h + 7*h for k. 3 Solve -70 = 3*j + 4*n + 9, -4*j + n + 34 = 0 for j. 3 Solve 3*o = i - 7, -47 = -29*i + 32*i + 8*o for i. -5 Solve -36368*v - 4*d = -36366*v - 2, -43 = -4*v + 5*d for v. 7 Solve -y + 4*l - 15 = 0, 2804*l - 2801*l - 20 = 2*y for y. -7 Solve 20*u - 3*z - 7 = 16*u, u = -2*z - 12 for u. -2 Solve 0 = -m - 28*s + 27*s, 4*m - 10 = -2*s for m. 5 Solve 3*t - x - 14 = 0, -47*x = -49*x + 2 for t. 5 Solve 5*f + 16 = 3*p - 28, 26 = -5*f - 3*p for f. -7 Solve -2*n - 36 + 19 = 5*l, 32 = 3*n - 4*l for n. 4 Solve 0 = 19*k - 95, -c + 3*k = 7*k - 13 for c. -7 Solve 16 = 2*r + 4*q, 107*q + 99*q - 208*q = -4*r - 28 for r. -4 Solve 2*q + b + 9 = 0, 349*q - 348*q = -3*b - 2 for q. -5 Solve -70*s + 68*s = -5*z - 1, 0 = -5*z + 3*s + 1 for z. -1 Solve q = 4*t + 7, 3*t - 1008*q = -1004*q - 2 for t. -2 Solve -2*i + 28 = 5*b, i - 4*i = 8*b - 43 for b. 2 Solve 0 = -4*c - 4*t + 16, 1475 = -c + 2*t + 1470 for c. 1 Solve -1737*v - 2 = 5*u - 1738*v, -4*v = -5*u + 7 for u. -1 Solve -4534*r - 3*j = -4532*r - 5, r + 5*j = -1 for r. 4 Solve l - 274*r + 275*r = 6, 6*l - 2*r = -12 for l. 0 Solve 16 = 5*u - 3*k, 3*u = 534*k - 529*k + 16 for u. 2 Solve 83 = -7*g + 2*k + 93, k = 5*g - 5 for g. 0 Solve 3*s - 22*f = 15, -542 + 562 = 4*s - f for s. 5 Solve -248*u + 17 = -252*u + n, 5*u + 4*n + 37 = 0 for u. -5 Solve -2*u + 34*q - 31*q = -37, 5*q + 80 = 5*u for u. 11 Solve d + 3 = 2*o, -82*d = 4*o - 87*d - 3 for o. 2 Solve -a + 56*u = 55*u + 8, 0 = 5*a - 4*u + 38 for a. -6 Solve -184*n + r = -179*n + 7, -5*r = 5*n + 25 for n. -2 Solve 2*x - 10 = -3*x - 3*a, 0 = -5*x + a + 30 for x. 5 Solve -11 = r - 4*d, -44*r + 41*r + 2*d = 13 for r. -3 Solve -2*l - 22 = -312*v + 313*v, 2*l + 2*v + 34 = 0 for l. -5 Solve 610*j - 605*j = -2*g + 15, -5*g + 5*j + 20 = 0 for g. 5 Solve -5*l + 4*v - 14 = 0, 22*l + 4*v + 22 = 21*l for l. -6 Solve 3*h + 6 = -2*t, -3351*t + 5*h = -3346*t - 10 for t. 0 Solve 0 = -2*b - 4*r - 36, -5*b - 1122*r + 1125*r + 53 = 0 for b. 4 Solve -12*b - k = 37, 3*b - 36*k + 13 = -40*k for b. -3 Solve -4*w - o = -16, -37*w = -32*w + 2*o - 17 for w. 5 Solve -9 = 3*c + 3*x, -23 = -54*c + 51*c + 5*x for c. 1 Solve 24 = -24*b + 23*b - 4*r, -44*b - 201 = 5*r for b. -4 Solve -4*m = -0*a + a + 15, 5*a - 25 = 26*m - 21*m for m. -4 Solve -44*w + 4*m - 28 = -40*w, -4*m + 12 = 4*w for w. -2 Solve 0 = 4*s + 2*m + 18, m - 29 + 30 = 0 for s. -4 Solve -376*j - 10 = -374*j + 4*l, 0 = 5*j - 2*l + 1 for j. -1 Solve 2655*o - 27 = 3*j + 2646*o, j - 5*o = -17 for j. 3 Solve -m - 2*h - 3 = 0, 9 = 26*m - 27*m + 4*h for m. -5 Solve -18 = -6*o - 500*l + 496*l, l + 2 = 5*o for o. 1 Solve 2*b - 20*w - 15 = -15*w, -9 = b + 3*w for b. 0 Solve -101*w + 100*w + 5*d = -20, 3*d = -3*w
{ "pile_set_name": "DM Mathematics" }
- (-3 + x + -1). Let s = -7 + o. Calculate the remainder when 13 is divided by s. 3 Let u(z) = -z**2 - 8*z - 9. Let a be u(-6). Suppose 3*q = a - 0. What is the remainder when 8 is divided by ((8 - 2) + -1)/q? 3 Let f(y) = 3*y**2 + 13*y + 10. What is the remainder when f(-7) is divided by 35? 31 What is the remainder when 77 is divided by 12/(-36) + 122/6? 17 Suppose -95 = -6*c - 5. Calculate the remainder when 59 is divided by c. 14 Let z be 1/4 - (-309)/12. Suppose 3*r = r + z. What is the remainder when r is divided by 8? 5 Let f be ((-2)/(-4))/(3/18). Suppose 0 = -2*i + z + 6, f*i + 7 = -3*z + 34. What is the remainder when ((-16)/10)/(2/(-10)) is divided by i? 3 Suppose r + 14 = 34. Calculate the remainder when 31 is divided by (4/(-5))/((-1)/r). 15 Let h = 4 - 1. Calculate the remainder when 28 is divided by (5/(-10))/(h/(-60)). 8 Calculate the remainder when 47 is divided by 11 + (-25)/(30/6). 5 Let c(b) = -b**3 + 6*b**2 + 18*b - 14. What is the remainder when 38 is divided by c(8)? 0 Suppose -17 = -5*o - 4*s, 0*o + 8 = 5*o + s. Let r be (0 - 4/(-2))*o. Calculate the remainder when 4 is divided by (-9)/3*(r - 3). 1 Suppose -g - 3*g + 104 = 0. Suppose a - 2*o = 8, 0 = -5*o + g - 6. Suppose 4*m = 4*p + p + 49, 0 = -5*p - 25. What is the remainder when a is divided by m? 4 Let r(u) = -u**2 - 22*u - 114. Let m be 1*-1 - 2*-1. Let g(s) = 16*s**3 + s**2 + s - 1. Calculate the remainder when g(m) is divided by r(-12). 5 Let h(d) = 2*d**3 - 2*d**2 - 3*d. Let t be h(-2). Let p = -3 - t. Suppose -4*a = -a - 24. Calculate the remainder when p is divided by a. 7 Let b(g) = g + 4. Calculate the remainder when 109 is divided by b(10). 11 Let i(u) = 6*u**2 - 7*u + 1. What is the remainder when 65 is divided by i(3)? 31 Let r = -31 + 36. Calculate the remainder when 13 is divided by r. 3 Suppose -q - 2*z + 2 = -6*z, 0 = q + z - 7. What is the remainder when 2 is divided by 8/q + (-2)/6? 0 Let k(b) = -3*b + 7. What is the remainder when 17 is divided by k(-1)? 7 Suppose -4*c - 2*u = -148, -72 - 115 = -5*c - 3*u. What is the remainder when 99 is divided by c? 29 Let d = 0 + 0. Suppose d*w + 2*w = 6. What is the remainder when -2 - -12 - (5 + 0) is divided by w? 2 Let n = 28 - 12. What is the remainder when 95 is divided by n? 15 Let t be 1*12*(-3)/6. Let l = t - 0. Calculate the remainder when 13 is divided by (-1 + 15/l)*-2. 6 Calculate the remainder when 50 is divided by (-32)/8 - 17*-1. 11 Calculate the remainder when 93 is divided by (18/(-4))/((-9)/48). 21 What is the remainder when 19 is divided by 2/4*(-1 - -9)? 3 Let v be (0/(-1))/((-2)/(-1)). Let z(a) = -6*a + 2 + 3*a + a**3 + 3*a**2 + v*a**2. What is the remainder when 47 is divided by z(2)? 15 Suppose 0*d = -4*p - 2*d + 100, 5*p + 2*d - 123 = 0. Calculate the remainder when p is divided by 12. 11 Suppose -2*j + 56 + 44 = 0. Calculate the remainder when j is divided by 26. 24 Let o(g) = -63*g**3 + g**2 - g + 1. Let x be o(1). Calculate the remainder when 59 is divided by 2/(-3) + x/(-3). 19 Suppose -i - 5 = -70. Suppose -i = -5*p - 0. Calculate the remainder when 36 is divided by p. 10 Suppose -f = 1 + 1. Calculate the remainder when (3 - -1)*(-1)/f is divided by 1. 0 Let k = 1 + 7. Let r be 4/10 + (-6)/15. Suppose r*n + n - k = 0. What is the remainder when 22 is divided by n? 6 Suppose -19 = 3*p - 154. Let d(v) = -v**3 + 5*v**2 + 7*v - 11. What is the remainder when p is divided by d(5)? 21 Suppose 5*d = 14 + 6. Suppose -1 = -5*s + d. Calculate the remainder when 12 is divided by (s - -1) + -1 - -6. 5 Let l(v) = -22*v + 1. Let y(z) = -z**3 + 6*z**2 - 4*z - 4. Calculate the remainder when l(-1) is divided by y(4). 11 Suppose 1 - 8 = -o. What is the remainder when 33 is divided by o? 5 Suppose 102 = -2*j + 5*j - 3*h, -2*h + 56 = 2*j. Let d(k) = -k**3 - 2*k**2 + 6*k + 3. What is the remainder when j is divided by d(-4)? 9 Let q(w) = 23*w**3 - w**2 + 2*w - 1. Calculate the remainder when 66 is divided by q(1). 20 Suppose 0*u + 4 = 2*s - u, -s - 5*u = -24. Let n = 21 - 15. What is the remainder when n is divided by s? 2 Let i(a) = -2*a - 4. Let c be i(-6). Let o = c - -3. Calculate the remainder when -3 - -2 - (-66)/3 is divided by o. 10 Let i = 8 + -2. Let a(h) = 6*h**2 - 4*h - 1. What is the remainder when a(2) is divided by i? 3 Let l be -10 + 1 - 2/(-1). Let d = 30 + l. Let c(b) = 2*b**2 - 4*b - 4. What is the remainder when d is divided by c(4)? 11 Let c(x) = -x**3 + 6*x**2 + 3*x + 19. Calculate the remainder when c(6) is divided by 9. 1 Let u(s) = 5*s**2 + s. Let f be u(1). Suppose 5*j = 2*c + 18, -c - 13 + f = -2*j. What is the remainder when ((-2)/4)/((-2)/4) is divided by c? 0 Let w(l) = l**2 - 7*l + 13. Calculate the remainder when 18 is divided by w(6). 4 What is the remainder when 3 - -1 - 8 - -55 is divided by 18? 15 Let i be 8 + (-3 + -1)/2. Let p = 7 - i. Calculate the remainder when p is divided by 1. 0 Let y = -19 - -72. Let n = -28 + y. What is the remainder when n is divided by 9? 7 Suppose 0*q + 2*q + 18 = -3*z, -2*z - 3*q - 12 = 0. Let t = -2 - z. Suppose 0 = -t*b + 64 - 24. What is the remainder when 29 is divided by b? 9 Suppose 5*w + 0*w = -n - 1, -3*w = n + 1. Suppose 6 = 2*v - 0*v. Calculate the remainder when v/(20/18 + n) is divided by 15. 12 Let c(v) = -6*v + 1. Suppose -35 = 4*y + y. Calculate the remainder when c(y) is divided by 22. 21 Let j = 21 - 10. Calculate the remainder when j is divided by 5. 1 Let t = 26 - 16. Calculate the remainder when -1 + 6/((-24)/(-116)) is divided by t. 8 Suppose -205 = -5*d + 2*u, -3*d + 5*u = 32 - 136. What is the remainder when d is divided by 11? 10 Let q(z) = 12*z**2 + 2*z + 2. Suppose 2*y - 8 - 62 = 0. Calculate the remainder when y is divided by q(-1). 11 Suppose 9 + 9 = 3*b. Calculate the remainder when b*(1 - 9/(-6)) is divided by 8. 7 Let d = 6 + 23. Calculate the remainder when d is divided by 40/6 - (-4)/(-6). 5 Let n = -82 - -102. What is the remainder when n is divided by (2 - 1)*(1 + 11)? 8 Let q(g) = g**2 - 3*g - 6. Let b be q(5). Suppose 3*y - o - 5 = 0, 4*y + b*o - 2*o = 0. What is the remainder when (17 - (1 - 2))*y is divided by 10? 8 Let a = 13 + -8. Let c(h) = h**3 - 4*h**2 + 4*h + 2. What is the remainder when c(a) is divided by 12? 11 Suppose -6*t + 4*t + 26 = 0. What is the remainder when t is divided by (-12)/30 + 22/5? 1 Suppose -5*d - 3*c = -16 - 148, d - 4*c = 42. Calculate the remainder when d is divided by 7. 6 Suppose -23*p = -29*p + 72. What is the remainder when p is divided by (-10)/(-8)*(4 - 0)? 2 Suppose -3*h + 109 = -50. Suppose -5*k - x + 32 = -19, 4 = 4*x. Let t = 8 + k. Calculate the remainder when h is divided by t. 17 Suppose -6*w + 4*w + 20 = 0. Calculate the remainder when 29 is divided by w. 9 Let w = -11 + 17. Let t = w + -5. Let k(i) = 18*i - 1. What is the remainder when 32 is divided by k(t)? 15 What is the remainder when 8/6 - 23/(-3) is divided by 5? 4 Let a(l) = -5*l**3 + 2*l**2 + 2*l + 9. Let v(w) = 2*w**3 - w**2 - w - 5. Let n(c) = -6*a(c) - 11*v(c). What is the remainder when n(1) is divided by 4? 3 Let v(l) = -l**3 + 9*l**2 + 3*l + 13. What is the remainder when v(9) is divided by 22? 18 Suppose 7*n - y = 5*n + 132, 5*n - 2*y = 328. Calculate the remainder when n is divided by 13. 12 Let n be ((-4)/(-6))/((-3)/(-9)). Let i(x) = -1 + 5*x**n + x**2 - x + 3. What is the remainder when i(3) is divided by 18? 17 Suppose 4*n = 4*d + 28, -4*n + 32 = -0*n - 5*d. Suppose -5*m = -0*m - 25. Calculate the remainder when m is divided by n. 2 Suppose 4*u - 9*u + 36 = 4*g, u - 5*g = -16. Suppose 5*x + 3*i + 1 = 2*i, -2*x = i + 1. Let k = 10 + x. Calculate the remainder when k is divided by u. 2 Suppose 5*c = 5*a - 10 - 135, -3*c = -12. What is the remainder when a is divided by 9? 6 Let v = 259 - 185. Let g = -99 + 118. What is the remainder when v is divided by g? 17 Let s(a) = a**3 - 9*a**2 + 9*a + 11. What is the remainder when 35 is divided by s(8)? 16 Suppose -3*h = -3*k, -k - 4*k - 2*h + 28 = 0. Calculate the remainder when 7 is divided by k. 3 Let f(o) = 3*o**2 + 2. Let m be f(-2). Let p be 2*7*12/m. What is the remainder when 28 is divided by (5/2)/(2/p)? 13 Suppose 46 = -0*z + z. Suppose -6*y = -3*y - 48. Calculate the remainder when z is divided by y. 14 Let k(f) = -2*f - 1. Le
{ "pile_set_name": "DM Mathematics" }
3*q - 10 = -4*z. Suppose 7*n - 4*c = z*n, 5*n = 4*c - 18. Let a(g) = 3 + 0*g + 6 + 0*g + 2*g. What is a(n)? -3 Let n(f) = -20*f + 2. Let o(s) = 3*s. Let g(p) = -n(p) - 6*o(p). Calculate g(3). 4 Suppose 24 = 2*k + 4*p, -2*p = 5*k - 4 - 16. Suppose 2*i - 20 = -k*i, 2*i = 5*f. Let q(c) = 8*c - c**f - 2 - 3 + 0. Determine q(6). 7 Let n(z) = 4*z + 0*z**3 + 1 + z**3 - z + 7*z**2 - 2*z**2. Let d be -3 - (2 - (-3 + 2 + 3)). Calculate n(d). 10 Suppose 548*m = 567*m + 114. Let d(l) = 3*l + 1. Calculate d(m). -17 Let q(p) = -12*p**2 + 7*p + 65. Let b(o) = 19*o**2 - 11*o - 97. Let i(n) = -5*b(n) - 8*q(n). What is i(0)? -35 Let s(j) be the first derivative of -j**4/4 + 4*j**3 + j + 64. What is s(12)? 1 Suppose 26 = 12*f + 2. Let q(v) = 1 + 32*v + f - 64*v + 33*v. What is q(-5)? -2 Let x be 226/(-8) + (-2)/(-8). Let b = x + 26. Let i(r) be the third derivative of r**5/60 + r**4/12 + r**3/6 + 8*r**2. Calculate i(b). 1 Suppose 0 = 5*t - 5*q + 75, -5*q - 3 = -4*q. Let n(o) = -o**2 - 18*o + 2. Determine n(t). 2 Let w(m) = -m**3 + 4*m**2 - 2*m + 6. Let p = -54 + 76. Let d = -18 + p. Give w(d). -2 Let b(p) = -31*p - 211. Let m be b(-7). Let a(k) = k**3 - 5*k**2 - 5*k - 8. What is a(m)? -2 Let f(a) = 5*a**2 + a**2 + a**3 + 1 + 5 + a + a**2 + 2. Calculate f(-7). 1 Let r(q) be the second derivative of 13*q**5/10 - q**4/12 - q**3/6 - q**2/2 - 2*q - 329. Determine r(-1). -27 Suppose 0 = 2*a - t - 10, a - 4*t = 6 + 6. Suppose 5*z + a = s - 6, -2*z = -3*s + 4. Let r(x) = -x**3 + x**2 + x + 8. Calculate r(s). 8 Let g(y) = -2*y**3 - y**2 + 1. Let l(w) = 3*w**3 + 7*w**2 + 7*w - 1. Let z(n) = -2*g(n) - l(n). What is z(6)? -7 Let p(y) = 4*y - 6*y - 5*y - 45 - y + y. Give p(-6). -3 Suppose -5*z + 24 = -16. Let n(v) = 8*v - 11. Let k(y) = 23*y - 32. Let p(f) = -6*k(f) + 17*n(f). Determine p(z). -11 Suppose 97*n - 77*n + 200 = 0. Let q(w) = w**3 + 9*w**2 - 12*w. Determine q(n). 20 Let m(d) = -d**3 - d**2 + 4*d. Let i be 14 - (-2)/5*-10. Suppose 0*v = -4*v + 5*o - 27, 3*v - 5*o = -14. Let t = v + i. Give m(t). 6 Let n(p) = p - 3. Let l(d) = -5*d + 11. Let h(t) = -4*l(t) - 18*n(t). Determine h(8). 26 Let s(y) = y**3 + 3*y**2 + 4*y + 1. Let a(u) = 3*u**3 + 6*u**2 + 8*u + 2. Let g(q) = 2*a(q) - 5*s(q). Give g(4). -1 Let n(a) = a + 2. Let w be n(-5). Suppose -4*c + 2 = -10. Let x(y) = 3*y**3 - 2*y**c + 5*y**2 + y - 2*y**2 - 2. What is x(w)? -5 Let h(f) = 20*f + 20. Let o(d) = -d - 1. Let c(x) = -h(x) - 3*o(x). Let s(m) = -8*m - 8. Let b(k) = 6*c(k) - 13*s(k). Suppose 3 = 4*t - 5. What is b(t)? 6 Let w(i) be the first derivative of -i**4/12 + 7*i**3/6 + 39*i**2/2 + 27. Let s(k) be the second derivative of w(k). Calculate s(6). -5 Let y(h) be the first derivative of -1/24*h**4 + 0*h + 3/2*h**2 + 0*h**3 - 1/30*h**5 + 1. Let t(r) be the second derivative of y(r). What is t(-2)? -6 Let y = -5 + 8. Let k = y + -2. Let x(u) = -7 + 3*u**2 + 20 - 6 - 6. Determine x(k). 4 Suppose -2*z = -4*s + 10, 0*s - 5*z - 25 = -3*s. Let d(a) = a + 3. Let q be d(-1). Let b(k) = q + 6*k - 1 - 5*k + 0*k. Calculate b(s). 1 Let s be (-4)/(-6) + (-5*(-7)/105 - 3). Let x be -2 - ((1 - 1) + -5). Let n(y) = 3*y - x*y - y + 1. What is n(s)? 3 Let v(j) be the third derivative of -j**5/60 + 5*j**4/24 + 7*j**3 + 49*j**2 + 3. What is v(9)? 6 Let d(l) = 4*l - 16. Let w(r) = 9*r - 33. Let n(k) = 5*d(k) - 2*w(k). Calculate n(12). 10 Let z(b) = b + 2. Let f be z(4). Let r(n) = 5*n**2 + 5 + 496*n**3 - 988*n**3 + 491*n**3 + 5*n. Determine r(f). -1 Let a(o) = o**2 - 1. Let t be 190/3 + 16/(-12). Let u be (t/4)/(2/(-4)). Let z = u + 30. What is a(z)? 0 Suppose -44 = -4*w + 5*t, -3*w - 4*t - 2 = t. Let k(g) = -8*g + 1. Let b(o) = -o - 1. Let x(f) = -6*b(f) + k(f). What is x(w)? -5 Let w be (-10 + 1)/((-1)/(-1)). Let h(v) = -v**3 - 4*v**2 + 3*v - 9. Let b be h(-5). Let z be (1 - b) + w + 11. Let g(p) = -p**3 + p. Calculate g(z). -6 Suppose m = 1, 0 = -w + 5*w + m - 117. Suppose -6*x - 7 = w. Let b(h) = -h**2 - 10*h - 9. Give b(x). 15 Let c(y) be the second derivative of y**5/20 + 5*y**4/12 + 2*y**2 - y + 7. Determine c(-5). 4 Let a(p) = -p**2 + 5*p - 2. Let j = -23 + 23. Suppose 4*w + 3*t - 28 = 2*t, -2*w - 2*t + 20 = j. Give a(w). -8 Let x(a) = -a + 15. Suppose -8 + 68 = 5*w. Let s be x(w). Let k(b) = 6*b + s - 1 - 7 + b**2. Give k(-6). -5 Let d(x) be the first derivative of x**4/12 + x**3/2 - 3*x**2/2 + 4*x - 2. Let s(l) be the first derivative of d(l). Determine s(-3). -3 Let v(d) = -d + 14*d**2 - 7*d**2 + 0*d - 6*d**2. Determine v(-2). 6 Let q(y) = -10*y**2 - 16*y + 16. Let n(h) = 6*h**2 + 11*h - 11. Let r(d) = -7*n(d) - 5*q(d). Calculate r(2). 35 Let w be (-26)/(-5) + 0 - (-65)/(-325). Let f(x) = -x**3 + 3*x**2 + 5*x. Give f(w). -25 Let v(o) = o**2 + 17*o - 27. Suppose g = -2*h - 40, -36 + 100 = -4*h + 2*g. Determine v(h). -9 Let p(f) = -f**3 + 4*f**2 + 3*f - 2. Let w be (-4)/5 + 48/10. Let q be 17/w - ((-5)/(-4) - 1). Give p(q). 10 Suppose 10*y = 7*y - 4*i - 14, -4*i - 20 = 0. Let c(r) = 3*r**2 + r - 1. Calculate c(y). 13 Let i be 36 + (3 - -1)/(-1). Suppose 30*t - i*t - 58 = 0. Let y = t - -31. Let h(f) = f + 1. Give h(y). 3 Let n(c) be the first derivative of -c**4/4 - 5*c**3/3 + 5*c**2/2 - c + 223. Give n(-6). 5 Let g(h) = -h + 2. Let n(u) = 1. Let r(j) = g(j) + 4*n(j). Let b be r(4). Let x(p) = 0*p**2 + 2*p**2 - 3*p**2 + 0*p**b - 5*p + 1. Determine x(-4). 5 Let u(i) = 13*i**2 - 117*i + 2. Let h be u(9). Let l(r) = 18*r + 1. Determine l(h). 37 Let r(b) = b**2 - 5*b + 4. Let t(l) = 5 + 4*l - l**2 - 4 + 0*l + 2. Let m be t(4). Calculate r(m). -2 Let b(h) = -2*h**3 + h**2 + h - 1. Let t(o) = -9*o**3 + 15*o**2 - 16*o + 8. Let g(y) = 4*b(y) - t(y). Give g(9). 6 Let k(r) be the third derivative of r**5/60 - r**4/12 - 2*r**3/3 + 2*r**2 + 13. What is k(6)? 20 Suppose 5*n - 3*a + 21 = 0, -3*n + 2*a - 24 = 2*n. Let z(j) be the first derivative of -j**2/2 + 617. Calculate z(n). 6 Let i(y) = -24*y**3 - y**2 + 1. Suppose b - 4 = 0, -2*b = -8*q + 4*q - 12. Give i(q). 24 Let v(i) be the first derivative of -2*i**3 + i + 1. Suppose 5*j - 8 = 3*a, -a + 2 + 2 = 0. Suppose -9*l - 5 = -j*l. Determine v(l). -5 Let k be 5/15*6 + 14. Suppose -20*i - 32 = -k*i. Let o(a) = a**2 + 8*a - 6. Give o(i). -6 Let b(v) = -11*v**2 + 6*v + 5. Let k(w) be the first derivative of w**2/2 + w - 4. Let g(t) = b(t) - 6*k(t). Give g(-1). -12 Let t(m) = -2*m + 12. Suppose 2*r - 3*w - 8 - 1 = 0, -5*w + 5 = 0. Let y be t(r). Let j(v) = v + 6. Give j(y). 6 Suppose 4*l - 2*l - 10 = 0. Suppose 5*m - 25 = 0, -l*y - m - 15 = -2*m. Let u(r) = r**2 + 4*r + 3. Determine u(y). -1 Let s(l) = 1337*l**3 + 13*l**2 - 5 - 1336*l**3 - l**2 + 10*l. What is s(-11)? 6 Let q = 14 - 12. Suppose q*k = f, -5*f + 25 = 4*k - 3. Let a(t) = 2 + 2*t**k - t**2 - 1. Give a(0). 1 Let u(f) = -f**3 + 6*f**2 - 2*f - 4. Suppose -2*m = -3*i + i + 2, 0 = m - 3*i + 3. Suppose -5*p - n = -30, m = -0*p - p + 3*n - 10. Determine u(p). 11 Suppose 0 = 3*x - 4*x. Suppose 2*z - 4*z = x. Let w(p) = -p**3 - p**2 + 19. What is w(z)? 19 Let h(a) = -a + 2. Let b be (1210/66 - (-1)/(-3))/2. Calculate h(b). -7 Let g be (-232)/16 - 3/6. Let l(a) = 2*a + 21. Give l(g). -9 Suppose -2*b - g + 1 = 0, 0 = 2*b + 3*g - 5*g - 16. Let p(n) = -2*n**2 + 1 + 2*n**2 - 458*n - n**2 + 459*n. What is p(b)? -5 Let w(s) = 15*s + 25. Let u(g) = -7*g - 12. Let a(r) = -13*u(r) - 6*w(r). Suppose -46*q + 79 = 401. What is a(q)? -1 Let u(b) = b - 6. Let i(l) = l**3 + 14*l**2 + 2. Let s be i(-14). Let j = 5 + s. Determine u(j). 1 Let p = 1217 + -1215. Let d(y) be the third derivative of 0*y + 0 + 1/24*y**4 + 6*y**p - 1/3*y**3 - 1/30*y**5 + 1/120*y**6. Give d(3). 10 Suppose s = -2 + 11. Suppose -s*u + u = 0. Let p(l) = -l - 4. Calculate p(u). -4 Let y(s) = s**2 - 4*s - 1. Let h(j) = j**2 + 1. Suppose -p - 3*a - 7 = 4, -5*p - a + 1 = 0. Let l(o) = p*y(o) - 2*h(o). Let c be (-2)/6 + 22/(-6). Give l(c). -3 Let d(z) be the second derivative of 5*z**4/12 + z**3/2 - z**2 - 163*z. What is d(1)? 6 Let a(x) = x**2 - 40. Let u be a(-6). Let z be (2/u*8)/(-2)*2. Let l(i) = 2*i - 3. What is l(z)? 5 Let b(w) = -w**3 - 4*w**2 - 2*w - 3. Let g be (-2 - (-20)/15)*2*3. What is b(g)? 5 Let c(v) = 23*v + 117. Let n be c(-5). Let r = 1 - 0. Let g(h) = 4*h**2 - 2*h + 2 + 0 - r - h**3. Calculate g(n). 5 Let f = -15 + 58. Let g(v) = 89 - 47 - 4*v - f. Give g
{ "pile_set_name": "DM Mathematics" }
- 4. Let c(x) = 13*x + 6. Let j(v) = -2*c(v) - 3*m(v). Let a(f) = -f. Let b(d) = 5*d. Let r(w) = 6*a(w) + b(w). What is r(j(g))? -10*g Let l(p) = p**2. Let h(z) = 68445*z + 2. Determine h(l(g)). 68445*g**2 + 2 Let v(s) = -2*s. Let k(p) = -2*p + 2408. Determine v(k(z)). 4*z - 4816 Let c(o) = -15*o**2 + 0*o**2 + 11*o**2. Let g(j) = 5*j - 1. What is c(g(v))? -100*v**2 + 40*v - 4 Let z(g) = -4*g**2 + 6*g + 17. Let d(m) = -10*m**2. Determine z(d(q)). -400*q**4 - 60*q**2 + 17 Let o(j) = -2*j**2 - 4*j - 4. Let p(a) = 3*a**2 + 3*a + 3. Let x(r) = 3*o(r) + 4*p(r). Let w(s) = 32*s**2 - 16*s**2 - 6*s**2 - 7*s**2. Give x(w(b)). 54*b**4 Let c(w) = -w**2. Let s(v) be the second derivative of 23*v**4/3 + 68*v. Calculate c(s(h)). -8464*h**4 Let l(g) = 10*g**2. Let y(a) = -50870*a. What is l(y(o))? 25877569000*o**2 Let j(w) = -w**2 + 28. Let h(p) = -262*p**2. Calculate j(h(v)). -68644*v**4 + 28 Let r(i) = 5*i + 4. Let b(x) be the second derivative of x**4/6 + 2*x + 40. Give r(b(w)). 10*w**2 + 4 Let r(f) be the second derivative of f**3/3 + 2*f - 5. Let a(t) be the second derivative of -7*t**4/3 - t. Calculate a(r(q)). -112*q**2 Let x(p) be the first derivative of -p**3 + 128. Let t(h) = -11*h**2. Give x(t(u)). -363*u**4 Let a(v) = -v - 8. Let x(h) = -3*h - 16. Let s(b) = 2*a(b) - x(b). Let j(k) = -4*k - 5*k - 2*k. What is j(s(o))? -11*o Let j(i) be the first derivative of 0*i - 5 + 0*i**2 + 11/3*i**3. Let q(n) = 2*n**2. Determine q(j(y)). 242*y**4 Let a(m) = -3464*m**2. Let z(h) = -14*h**2 + 2. What is z(a(t))? -167990144*t**4 + 2 Let i(g) = 4*g**2. Let z(p) = -196809*p**2. Determine i(z(n)). 154935129924*n**4 Let v(z) = -2*z. Let m(j) = 9*j + 0*j**2 - 5*j**2 + 3*j**2 + 11 + 3*j**2. Let y be m(-8). Let g(b) = -3*b - y*b + 5*b. Calculate g(v(w)). 2*w Let k(s) = -s. Let z(u) = -122385*u**2 + u. Calculate z(k(r)). -122385*r**2 - r Let l be (-1138)/(-4) - (-3)/2. Let j(c) = -286*c + 4*c**2 + l*c. Let k(z) = -z + 1. Let o(i) = i**2 - 2*i + 2. Let v(q) = -2*k(q) + o(q). What is j(v(t))? 4*t**4 Let b(a) = -11*a. Let p(n) be the second derivative of -7*n**3/6 - 3*n**2/2 - 47*n. Let d(q) = -13*q - 5. Let g(t) = -3*d(t) + 5*p(t). Give g(b(r)). -44*r Let x(f) = -3*f + 8*f - 7*f + f. Let o(p) be the second derivative of 0*p**3 + 0 - 1/6*p**4 + p + 0*p**2. What is x(o(j))? 2*j**2 Let h(r) = -12*r**2. Let l(d) = d + 5. Let a be l(-4). Let n(m) = -4 - 2*m + 3 + a. What is h(n(y))? -48*y**2 Let v(z) = 2*z. Let i = 15 + -3. Let c be ((-1)/(-3))/(((-16)/(-2))/816). Let p(j) = -c*j + 8*j + i*j. What is p(v(y))? -28*y Let a(v) = -45 + 19 + 5*v**2 + 26. Let q(n) = -25*n. Calculate a(q(x)). 3125*x**2 Let o(f) = -40896*f - 2. Let x(m) = -2*m**2. Determine o(x(r)). 81792*r**2 - 2 Let p(f) = 63*f**2 - 13*f. Let z(s) = 29*s**2 - 6*s. Let v(o) = 6*p(o) - 13*z(o). Let a(c) = 393*c. Determine a(v(r)). 393*r**2 Let p(m) = -43463*m. Let t(f) = 6*f**2. What is p(t(d))? -260778*d**2 Let u(w) = -w**2. Let k(o) = 4*o + 12. Let x be k(-2). Let g(r) = -5*r**2 - 44 + x*r**2 + 65. What is u(g(a))? -a**4 + 42*a**2 - 441 Let g(a) = 2*a. Let k(z) = 17212*z - 3. Determine k(g(m)). 34424*m - 3 Let s(m) = 2*m**2. Let w(f) = -53631*f - 2121. Let r(a) = 303*a + 12. Let l(b) = 707*r(b) + 4*w(b). Give s(l(y)). 183618*y**2 Let z(b) = 7*b - 7 + 8 - 2 - 4. Let d(s) = 6*s - 4. Let k(q) = -5*d(q) + 4*z(q). Let j(f) be the first derivative of -13*f**3/3 + 1. Determine k(j(n)). 26*n**2 Let l(y) = y - 3*y - 3*y. Suppose 6*x - 18 = 6. Let m(t) = 4*t**2 + x*t**2 - 4*t**2. What is l(m(g))? -20*g**2 Let j(b) = b + 3. Let v = 1 - 3. Let q be j(v). Let g(z) = -2*z + 3. Let x(f) = -f + 1. Let a(u) = q*g(u) - 3*x(u). Let k(m) = 4*m**2. Calculate k(a(h)). 4*h**2 Let k(s) = s. Let h(p) = 1016*p - 516*p - 508*p. Calculate h(k(y)). -8*y Let r = 110 + -112. Let j(q) = -q - 1. Let p(n) = -4*n - 2. Let t(z) = r*j(z) + p(z). Let s(v) = 3*v**2 + 6*v. Give t(s(l)). -6*l**2 - 12*l Suppose -5*w + 25 - 5 = 3*k, -32 = -w + 5*k. Let f(j) = j + 5 + 1 - w + 6. Let v(l) = -2*l. Calculate f(v(u)). -2*u + 5 Let d(f) be the first derivative of -5*f**3/3 + 100. Let u(l) be the third derivative of 0 + 0*l**4 - 1/30*l**5 + 0*l + l**2 + 0*l**3. Give d(u(q)). -20*q**4 Let w(f) = -11*f**2. Let k(g) = -g - 1. Let t(j) = -4*j - 2. Let o = 7 - 9. Let m(h) = o*k(h) + t(h). Give w(m(n)). -44*n**2 Let m(y) = -12*y. Let a(f) = -f**2 + 2*f - 1. Let r(d) = -13*d**2 + 10*d - 5. Let s(c) = 5*a(c) - r(c). Give m(s(g)). -96*g**2 Let h(p) = 5*p. Let y(r) = 10*r**2 + 178*r + 4. What is h(y(f))? 50*f**2 + 890*f + 20 Let h(n) = -n + 35. Let j(u) = -u - 4. Let o(f) = -3*f - 11. Let z be 0/(-2 + 3 + -2) + 4. Let k(p) = z*o(p) - 11*j(p). Calculate h(k(l)). l + 35 Let r(f) be the first derivative of f**2/2 - 17*f + 611. Let q(t) = -3*t. Calculate q(r(w)). -3*w + 51 Let l(v) = -4*v. Let y(h) = h + 16201. What is l(y(b))? -4*b - 64804 Let o(k) = -5*k**2 - 6*k**2 + 4*k**2. Let l(i) = -2 - i**2 + 2 + 183*i - 183*i. Calculate l(o(r)). -49*r**4 Let u(n) = 34*n**2 - 17*n**2 - 16*n**2. Let y(h) = 1. Let a(q) = q - 1. Let m(w) = -a(w) - y(w). What is m(u(x))? -x**2 Suppose u + 4 = 3*u. Let j(s) = -s**u + 3*s**2 + 0*s**2. Let b(d) = -24*d. Give b(j(w)). -48*w**2 Let a(n) = 343*n**2. Let t(q) = 285*q**2. What is a(t(c))? 27860175*c**4 Let y(t) = 5 - 5 + 1862*t - 1883*t. Let k(n) = -5*n. Give y(k(l)). 105*l Let s(d) = 2*d. Let p(r) = 4*r + 3*r + 1 + 1 + 1. Let k(l) = 9*l + 4. Let y(w) = 3*k(w) - 4*p(w). Determine y(s(i)). -2*i Let d(a) = -30*a + 21. Let p(j) = -7*j + 5. Let u(t) = 5*d(t) - 21*p(t). Let w(v) = -3*v**2 + 2*v**2 - 2*v**2. What is u(w(o))? 9*o**2 Let b(c) be the second derivative of -5*c**4/12 - 14*c - 3. Let q(y) = 25*y**2. Give q(b(d)). 625*d**4 Let j(t) = -16*t**2. Suppose 0 = 2*u - 5 + 1. Let a(x) = -x - u*x + 2*x - x. Calculate j(a(o)). -64*o**2 Let w(f) = 6*f. Let k(i) = -2017*i. Determine k(w(s)). -12102*s Let n(u) be the second derivative of -5*u**3/2 - 2*u. Let a = 49 + -45. Let p(f) = a*f**2 + 0*f**2 - 2*f**2. Give n(p(b)). -30*b**2 Let g(b) = 506*b**2. Let k(w) = 24*w. Determine k(g(i)). 12144*i**2 Let l(o) = -6*o - 6. Let b(n) = 25*n + 26. Let x(g) = -6*b(g) - 26*l(g). Let a(r) = 4*r**2. What is x(a(f))? 24*f**2 Let g(k) = 9*k. Let m be (14/(-35))/((-5)/25). Let u(c) be the second derivative of 0 - 6*c + 0*c**3 + 1/12*c**4 + 0*c**m. Calculate u(g(h)). 81*h**2 Let q(v) = 40424*v**2. Let i(k) = 4*k**2. What is q(i(t))? 646784*t**4 Let o(a) = 7*a. Let c(v) = 555963*v**2. Give c(o(q)). 27242187*q**2 Let z(n) be the second derivative of -5*n**7/504 - 15*n**4/4 - 45*n. Let s(a) be the third derivative of z(a). Let q(p) = p**2. What is q(s(m))? 625*m**4 Let k(d) = -6*d**2 - 1188*d - 1. Let c(g) = g. Calculate k(c(j)). -6*j**2 - 1188*j - 1 Let y(i) = 2*i. Let s(c) be the third derivative of 5*c**7/504 - 19*c**4/12 - 6*c**2. Let o(n) be the second derivative of s(n). Determine y(o(l)). 50*l**2 Let u(z) = z**2. Let d(s) = -25*s - 2. Let n(x) = 74*x + 5. Let i(a) = 11*d(a) + 4*n(a). What is i(u(l))? 21*l**2 - 2 Let u(r) = 1 + 7*r - 6 + 5. Suppose -2*c + 11 = -17. Let h(x) = -c + 2*x + 14. What is h(u(l))? 14*l Let w(a) = 827*a**2. Let i(x) = 2*x - 19. What is i(w(f))? 1654*f**2 - 19 Let y(h) be the second derivative of 0*h**3 + 0 + 0*h**2 + 4*h - 1/6*h**4. Let t(g) be the first derivative of 7*g**3/3 + 1. Determine y(t(k)). -98*k**4 Let l(v) = -7*v. Let o(b) = -2*b - 6 + b - 1 + 0. Let m(w) = w + 6. Let s(k) = -7*m(k) - 6*o(k). Calculate l(s(u)). 7*u Let m(g) = 5*g**2. Let v(b) = 532*b**2 + 5*b. Give v(m(y)). 13300*y**4 + 25*y**2 Let s(a) = 5*a. Let l be (-14)/(-70) + (-48)/(-10). Let p(q) = -10*q + l*q**2 + 22*q - 12*q. What is p(s(u))? 125*u**2 Let b(j) be the first derivative of -2*j**2 - 5*j**2 - 1 - 2 + 6. Let k(n) = -3*n**2. Calculate k(b(i)). -588*i**2 Suppose 0 = -3*c + 20 - 8. Let l(h) = -4 - h**2 + c. Let g(y) be the first derivative of 5*y**2/2 + 42. Give g(l(f)). -5*f**2 Let l(q) = -46 + 117 - 2*q - 71. Let b(w) = -6*w + 1. Calculate l(b(u)). 12*u - 2 Let p(n) be the second derivative of 1/6*n**4 + 0 + 0*n**2 + 0*n**3 + 30*n. Let x(s) = -32*s. Determine x(p(w)). -64*w**2 Let r(l) = 9*l - l - 9*l. Let v(h) = 17*h. What is v(r(d))? -17*d Let p(v) = -v**2. Let h(a) = -69*a**2 - 65*a - 2. What is h(p(g))? -69*g**4 + 65*g**2 - 2 Let v(d) = 78*d**2 + 3 + 0
{ "pile_set_name": "DM Mathematics" }
t is the common denominator of -55/21 and 151/60? 420 What is the smallest common multiple of 77 and 33? 231 What is the common denominator of 52/9 and -8/469? 4221 Calculate the smallest common multiple of 210 and 20. 420 Calculate the common denominator of -48/745 and -19/10. 1490 Calculate the lowest common multiple of 20 and 322. 3220 Find the common denominator of -41/72 and 89/96. 288 What is the smallest common multiple of 15 and 918? 4590 Calculate the common denominator of 163/42 and 43/105. 210 Calculate the common denominator of 9/226 and 3/8. 904 What is the common denominator of 109/196 and 67/4634? 64876 Calculate the common denominator of -65/256 and -101/6. 768 What is the lowest common multiple of 52 and 48? 624 Calculate the common denominator of 67/38 and -145/18. 342 Calculate the common denominator of 61/240 and -97/216. 2160 What is the lowest common multiple of 175 and 275? 1925 Calculate the smallest common multiple of 390 and 312. 1560 Calculate the smallest common multiple of 108 and 144. 432 Calculate the smallest common multiple of 5427 and 4221. 37989 Find the common denominator of -25/9 and 13/120. 360 What is the lowest common multiple of 66 and 30? 330 Calculate the common denominator of 7/6 and 43/218. 654 What is the common denominator of 95/12 and -121/342? 684 What is the common denominator of -25/24 and -143/240? 240 Calculate the common denominator of 97/105 and -167/84. 420 What is the common denominator of 167/840 and -67/216? 7560 What is the common denominator of 7/10 and 67/14? 70 What is the smallest common multiple of 80 and 60? 240 Calculate the common denominator of -43/6336 and -89/1408. 12672 Calculate the common denominator of 92/45 and 17/207. 1035 What is the smallest common multiple of 595 and 68? 2380 What is the common denominator of 131/12 and 37/144? 144 What is the smallest common multiple of 290 and 2668? 13340 Calculate the least common multiple of 11 and 333. 3663 Calculate the smallest common multiple of 35 and 4417. 22085 What is the lowest common multiple of 170 and 272? 1360 Calculate the lowest common multiple of 429 and 363. 4719 What is the least common multiple of 90 and 30? 90 What is the common denominator of 89/448 and 41/640? 4480 What is the common denominator of 58/153 and -79/1404? 23868 What is the smallest common multiple of 279 and 24? 2232 Find the common denominator of -101/16 and 87/56. 112 Calculate the lowest common multiple of 84 and 3. 84 Find the common denominator of -23/8 and 47/256. 256 Find the common denominator of -7/18 and -77/160. 1440 Calculate the common denominator of -51/1430 and 59/30. 4290 What is the least common multiple of 28 and 16? 112 Calculate the lowest common multiple of 16 and 472. 944 Calculate the common denominator of 19/28 and -17/20. 140 Calculate the common denominator of 29/1161 and 107/258. 2322 Calculate the common denominator of 19/88 and -87/40. 440 What is the least common multiple of 108 and 196? 5292 What is the smallest common multiple of 12 and 1252? 3756 What is the least common multiple of 276 and 22? 3036 Calculate the lowest common multiple of 35 and 20. 140 Calculate the common denominator of 87/94 and 59/188. 188 Calculate the least common multiple of 112 and 98. 784 Calculate the least common multiple of 49 and 8. 392 What is the lowest common multiple of 236 and 20? 1180 What is the least common multiple of 153 and 8? 1224 Find the common denominator of 77/6 and 41/1017. 2034 Calculate the common denominator of -25/81 and -17/27. 81 Calculate the lowest common multiple of 1160 and 8. 1160 Calculate the least common multiple of 111 and 21. 777 What is the least common multiple of 36 and 14? 252 What is the common denominator of 7/80 and -83/20? 80 Calculate the lowest common multiple of 22 and 2430. 26730 What is the common denominator of 5/24 and 37/228? 456 Calculate the smallest common multiple of 940 and 517. 10340 What is the least common multiple of 588 and 147? 588 Calculate the common denominator of 57/11572 and 61/3156. 34716 Find the common denominator of 31/102 and -65/34. 102 Calculate the least common multiple of 265 and 45. 2385 Calculate the common denominator of 47/13992 and 101/13992. 13992 Calculate the common denominator of 71/9 and -8/171. 171 Calculate the smallest common multiple of 7278 and 30. 36390 Calculate the common denominator of 63/2908 and -81/44. 31988 Calculate the common denominator of 65/38 and -7/2. 38 What is the smallest common multiple of 4 and 32? 32 What is the common denominator of -63/10 and 49/2232? 11160 What is the common denominator of 11/8 and -19/40? 40 Find the common denominator of 115/186 and 149/372. 372 Calculate the common denominator of 41/282 and 151/138. 6486 What is the common denominator of 31/70 and 43/161? 1610 Calculate the lowest common multiple of 384 and 6. 384 Find the common denominator of -53/46 and 38/207. 414 What is the least common multiple of 306 and 18? 306 What is the common denominator of -57/16 and -17/6? 48 What is the smallest common multiple of 6 and 50690? 152070 Find the common denominator of -63/850 and 49/2890. 14450 What is the common denominator of 9/4714 and 15/8? 18856 Calculate the common denominator of 23/627 and -15/44. 2508 Calculate the least common multiple of 54 and 54. 54 What is the common denominator of -61/1326 and -41/561? 14586 Calculate the smallest common multiple of 354 and 354. 354 Find the common denominator of -127/102 and 5/663. 1326 Calculate the common denominator of -137/30 and -115/12. 60 What is the smallest common multiple of 11124 and 1442? 77868 What is the smallest common multiple of 12 and 72? 72 What is the smallest common multiple of 5136 and 48? 5136 What is the common denominator of 91/15 and 38/15? 15 What is the smallest common multiple of 14 and 70? 70 Calculate the least common multiple of 1088 and 11. 11968 Calculate the smallest common multiple of 22 and 10. 110 What is the common denominator of 59/20 and -101/92? 460 Find the common denominator of 59/69 and 25/23. 69 What is the lowest common multiple of 405 and 48? 6480 What is the least common multiple of 142 and 1? 142 Calculate the smallest common multiple of 1036 and 8. 2072 Find the common denominator of 9/4180 and -73/3344. 16720 What is the common denominator of -101/194 and 40/7? 1358 What is the common denominator of -67/54 and -22/1209? 21762 What is the lowest common multiple of 1648 and 4? 1648 Calculate the common denominator of 151/294 and -26/9. 882 Calculate the lowest common multiple of 1 and 158. 158 Calculate the least common multiple of 264 and 2376. 2376 What is the lowest common multiple of 1044 and 96? 8352 Calculate the lowest common multiple of 35 and 98. 490 Calculate the common denominator of -149/5712 and -69/20944. 62832 What is the common denominator of 127/2184 and 31/1820? 10920 What is the common denominator of -40/51 and 61/48? 816 Calculate the lowest common multiple of 4 and 1174. 2348 Find the common denominator of -77/3632 and 11/18. 32688 Find the common denominator of -21/1216 and 53/640. 12160 What is the least common multiple of 1596 and 1368? 9576 What is the common denominator of 29/2180 and -35/1962? 19620 Find the common denominator of -45/32 and 67/36. 288 What is the common denominator of 79/10 and 7/43? 430 Calculate the least common multiple of 30 and 24. 120 What is the lowest common multiple of 286 and 11? 286 Calculate the lowest common multiple of 6258 and 30. 31290 Calculate the common denominator of -4/195 and -13/15. 195 What is the smallest common multiple of 3 and 56? 168 Calculate the lowest common multiple of 52025 and 2. 104050 Calculate the common denominator of 16/91 and -49/13. 91 What is the least common multiple of 87 and 16? 1392 What is the lowest common multiple of 2275 and 210? 13650 Calculate the least common multiple of 40 and 440. 440 What is the common denominator of 151/30 and 73/654? 3270 What is the common denominator of -24/121 and -51/2783? 2783 What is the lowest common multiple of 812 and 28? 812 Calculate the least common multiple of 3 and 72. 72 What is the common denominator of -119/940 and -91/4? 940 Find the common denominator of 121/1410 and
{ "pile_set_name": "DM Mathematics" }
m(o) = -7*o - 21. Let w(t) = 8*t + 23. Let f(g) = -5*g**2 + 2*g. Let n be f(-1). Let a(b) = n*m(b) - 6*w(b). Determine a(-7). 2 Let j = 156 - 153. Suppose -4*k = -2*c - 40, -k - 2*c + 41 = 4*k. Let p(t) = -5*t + 4. Let w(i) = i - 1. Let d(g) = k*w(g) + 2*p(g). Give d(j). -4 Suppose 35 = 10*j + 5. Let d(v) = -12*v**2 - 9*v**3 + 5*v**3 + 5*v**j + v - 2*v**3 + 16. Give d(-12). 4 Suppose 2*v + 25 = 7*v. Let p(r) = -6*r - 3 - r**2 + 7*r**2 - v*r**2. Suppose 2*w + s = 14, -w + s + 1 = -0*s. Determine p(w). -8 Let y(w) be the second derivative of w**5/20 + 13*w**4/12 + w**3/3 + 43*w**2/2 - 4202*w. Give y(-13). 17 Let c = 227 - 218. Let g(l) = -l + c + 17 - 11 + l**2. Give g(0). 15 Suppose -t + 0 = 4. Let i(o) = 6 + 7*o - 1 - 462*o**2 + 464*o**2. What is i(t)? 9 Suppose x + x = -8. Let a(r) be the second derivative of -40*r + 0 - 1/2*r**3 + 3/2*r**2. Give a(x). 15 Suppose -51*a = -4*a - 4794. Let z(t) = -t**2 + 11 - 23 - a*t + 14 + 104*t. Let k be (8/(-6))/((-2)/6). Calculate z(k). -6 Let f = 632 + -628. Let k(c) = -6*c - 3*c - 7*c - 5 + 18*c. Determine k(f). 3 Let l(p) = 20*p**3 + 12*p**2 + 4*p - 64. Let y(o) = -17*o**3 - 13*o**2 - 3*o + 57. Let z(q) = -5*l(q) - 6*y(q). What is z(-9)? -4 Let j(o) = 1109*o - 4*o**2 + 3*o**2 - 5 - 1088*o. Give j(18). 49 Let q(w) = 7*w**2 - 3*w + 1. Suppose -j = 2, -2*y + 13*j - 12*j + 4 = 0. What is q(y)? 5 Let c(b) be the third derivative of b**4/24 - b**3/3 - 3*b**2 + 394*b. Give c(-12). -14 Let p(n) be the second derivative of -n**5/20 + 7*n**4/12 - 2*n**3/3 - 3*n**2 + 100*n. Let s(t) = -t**3 - 9*t**2 + t + 15. Let y be s(-9). What is p(y)? 6 Let o be 15 + -11 + (-3 - 4). Let k(i) be the first derivative of -5*i**2/2 + i - 7. Determine k(o). 16 Suppose -5*d + d = 28. Let j(a) be the first derivative of 2*a**3/3 + 6*a**2 - 13*a - 35. Let y be j(d). Let g(i) = 5*i**3 + i - 1. Give g(y). 5 Let t(a) = -2*a + 22. Let x be t(14). Let p(r) = 3*r + 43 - 17 - 4 - 17. What is p(x)? -13 Let b(y) = 0*y**3 - 16*y - y**3 + 3*y + 14*y**2 - 1724 + 1703. Determine b(13). -21 Let o(c) = -11*c - 17. Suppose 5*w = -19*w - 48. What is o(w)? 5 Let b(x) be the first derivative of 117 + 5/3*x**3 - 5*x + 1/4*x**4 - 3*x**2. Determine b(-6). -5 Let m(d) = d**3 + 5*d**2 + 3*d + 5. Let y be 1 + (-4)/(-6)*17*9. Suppose -95 = -2*s - y. What is m(s)? 9 Let z(j) be the third derivative of j**6/120 + j**5/5 + j**4/12 + 29*j**3/6 + j**2 + 1383. Calculate z(-12). 5 Let x be (-52)/13*(-6)/4 - -35. Let l(v) = v - 57 + v + x + 17. Let g(q) = -2*q. Let f be g(2). Determine l(f). -7 Let j(s) = s**3 + 7*s**2 + 5*s + 5. Let n = -80 - -79. Let v be 3*(3/n)/(-3). Suppose -v*l - 2*l = 3*a - 7, a - 5*l + 31 = 0. Calculate j(a). 11 Let a(o) = 2*o - 3. Let w = -27 - -44. Let j(f) = -f - 27 - 23 - w + 66. Let m(h) = -a(h) - j(h). Determine m(6). -2 Let s(q) = q**2 + q. Let k(x) = -x**3 + 7*x**2 - 4*x - 10. Let b be k(6). Suppose 4*t - 6 + b = 0. Let d(m) = -m + 2. Let j(f) = t*d(f) - 2*s(f). Give j(-3). -7 Suppose 0 = 3*r - 3*g + 18, -4*r - 36 = 2*g - 12. Let k be 3*((-14)/(-56))/(r/32). Let c(v) = -2*v**2 - 8*v - 7. Calculate c(k). -7 Suppose 2*g - 3*r = 9, 2*g - 4*r - 16 = -2*g. Let a(w) = -2*w**3 - 3*w + 3*w - 4 + 5*w + g*w**2. Suppose 159*s - 366 = 37*s. What is a(s)? -16 Let a(t) = 15836*t + 20*t**2 - t**3 + 151 - 5270*t - 5266*t - 5286*t. Determine a(21). 4 Let k(m) = m**3 - 5*m**2 + 3*m - 3. Let z = -6608 + 6612. What is k(z)? -7 Let y = 316 - 288. Let m be y/7 - (-1 + 5). Let q(o) = o**2 + o + 7. Give q(m). 7 Let v = 4213 + -4208. Let g(k) be the third derivative of 13/24*k**4 + 0*k - 1/6*k**3 + 0 - v*k**2. Determine g(-1). -14 Let i(t) = -2*t**3 - 15*t**2 + 13*t + 34. Suppose 101*r + 409 + 98 + 301 = 0. What is i(r)? -6 Let y(r) = r**2 + r - 17. Let k(z) = -2*z**2 - 87*z - 477. Let a be k(-37). Calculate y(a). 3 Let j(s) = s**3 - 3*s**2 - 5*s + 2. Suppose 3*y + 112 = b, -2*y = -b + 100 - 27. Let u = 23 + y. Let k be u/(-8) + (-4)/(-2). Calculate j(k). -2 Suppose 3*w - 982 = 2*i, 4*i = 2*w - 408 - 244. Let k(j) = w - 3*j - 341 + 0*j. Give k(-9). 14 Let y(l) = -3 + 2*l**3 - 6*l**2 + 13*l**2 - 3*l**3 - 4*l. Let b be (1 + (-8)/(-10))*(2208/(-72) + 34). Calculate y(b). 9 Suppose -4*k + 141*q - 136*q + 364 = 0, -91 = -k - 4*q. Suppose 0 = -5*o - 374 - 66. Let s = o + k. Let u(p) = -5*p + 2. Calculate u(s). -13 Let f(u) be the second derivative of 0 - 15/2*u**2 - 1/3*u**3 - 5*u. Let g(k) = k**3 + 3*k**2 + 2*k - 4. Let b be g(-3). Give f(b). 5 Suppose 55 = -56*c + 61*c + 5*x, -x = -3*c + 41. Let r(q) = q - 26. Calculate r(c). -13 Let q(u) be the third derivative of u**5/60 + 47*u**4/24 + 55*u**3/2 - 4*u**2 - 326*u. Give q(-4). -7 Let l(h) = -3*h**2 - 14*h - 3. Suppose 36*n - 41*n + 2*c = 46, 3*c - 12 = -2*n. Calculate l(n). -27 Let z = 8 - 12. Let b(o) = 5*o**2 - 13*o - 11. Let r(m) = m**2 - m - 1. Let n(v) = z*r(v) + b(v). Suppose 6*y - 9 = 45. What is n(y)? -7 Suppose -s - 5*u = -34 + 32, 0 = -4*u + 8. Let v(c) be the third derivative of 0 - 11/6*c**3 + 0*c - 1/24*c**4 + 2*c**2. Calculate v(s). -3 Let i(q) = 831*q - 2498. Let x be i(3). Let p(y) = 19*y + 88. Determine p(x). -7 Let l(o) = 16*o**2 - o - 9. Let y(w) = -26*w**2 + w + 19. Let v(t) = -5*l(t) - 3*y(t). What is v(-4)? -52 Let x(w) = w**2 + 3*w + 12. Suppose 0 = 5407*j - 5351*j - 336. Determine x(j). 66 Let m(h) = h**2 - 14*h + 16. Suppose 4*t - 24 = -3*s, -3*s = -0*t + 2*t - 6. What is m(t)? -29 Let v(n) = 47*n - 33. Let d be v(2). Suppose 0 = d*x - 77*x + 144. Let p(j) = -j**2 + 7*j + 9. Calculate p(x). -9 Let g(s) = 3*s**3 - 12*s**2 + 20*s - 14. Let i(m) = -m**3 + 4*m**2 - 7*m + 5. Let z(t) = 4*g(t) + 11*i(t). Suppose -190 = 18*b - 244. Determine z(b). -1 Let q(k) = 5*k + 10. Let w = -1860 - -1857. Determine q(w). -5 Let r(o) = 8 - 13*o + 5 + 18*o - 31*o**2 - 9 - 2. Calculate r(-1). -34 Let u = -348 - -349. Let w(f) = 2*f**2 + 4*f - 1. Let b be w(u). Let y(i) = i**2 - 3*i - 5. Determine y(b). 5 Let n(v) = 57 - 2*v - 30 - 32 + v. Determine n(6). -11 Let i(w) = w**2 + w + 4. Let v(x) = 2*x**2 + 6*x + 15. Let j(d) = i(d) - v(d). What is j(-5)? -11 Let l(j) = 2*j - 16. Let a be l(4). Let x(i) = 341 - 7*i**2 - 411 + 81 - i**3 + 7*i. Determine x(a). 19 Let x(s) = -s**3 - 4*s**2 + 7*s + 10. Let i = 1537 - 1542. Determine x(i). 0 Let i(c) be the third derivative of 9*c**4/8 + 11*c**3/3 - 54*c**2 - 21. What is i(-1)? -5 Suppose 0 = -17*v - 12*v + 87. Let h(j) = -2 - v*j + 2*j + 3*j - 5 - 3*j. Give h(-3). -4 Let j = 32335 - 32308. Let s(q) = q**3 - 37*q**2 + 271*q - 26. Calculate s(j). 1 Let x(j) = j**3 + j**2 - 8*j - 3. Let z(p) = -3*p**3 - 4*p**2 + 12*p + 1. Let q(i) = 2*x(i) + z(i). Let l be (-4)/6*(1 + 2). Calculate q(l). 3 Let s(q) be the second derivative of -q**6/120 + q**4/12 + 18*q**3 + 199*q. Let x(h) be the second derivative of s(h). Suppose 0 = c - 5*c - 8. Calculate x(c). -10 Let f(w) = -w**3 + 18*w**2 - 22*w + 67. Let c be f(17). Let k be -6*6/c + -5. Let a(l) = -3*l + 2. Determine a(k). 11 Let p(z) = z**2 - 6*z. Suppose h - 5*h - 164 = 0. Let o = 45 + h. Suppose -2*t - o*a = -16, -2*t + 4*a = a - 9. Calculate p(t). 0 Let x(q) = 12*q**2 - 8*q**3 + 7*q**3 + 19 - 9*q**3 + 40*q + 11*q**3 + 1. Calculate x(-6). -4 Let i be (27/5)/(240/400). Let x(r) = 323*r + 3*r**2 - i - 3*r**2 - 323*r + r**2. Determine x(0). -9 Let n(c) be the first derivative of -2*c**3/3 - 30*c**2 + 26*c - 3859. Calculate n(-30). 26 Let f(g) be the second derivative of -g**4/12 - g**3/3 - 1931*g. Let a be ((-14)/(-35))/(2/(-20)). Calculate f(a). -8 Suppose 5*p - 2*v - 23 = 0, -23 = p - 2*p + 5*v. Let j(m) = 2 - p*m + 0*m**2 - 11 + m**2 + 4. Determine j(4). -1 Let h(s) = -4*s - 24. Let l be h(-7). Suppose 32 = 3*k - 15*u + 19*u, -2*u = -l*k + 72. Let b(x) = 2*x - 32. Determine b(k). 0 Let n(k) = 12*k**2 - 30*k + 6. Let b(s) = s**2 + 4*s - 2. Let d(m) = 6*b(m) + n(m). Give d(-1). 18 Let d(n) = -6*n - 17. Let u(v) = 3*v + 16. Let z(g) = -2*d(g) - 3*u(g). Let q(p) = p - 3. Let r(k) = 4*q(k) - z(k). What is r(3)? 5 Let l(g) be the first derivative of g**3/3 - 15*g**2/2 + 65*g - 5098. What is l(11)? 21 Let n(o) = -34 - 72*o - 95 - 142 - 26 + 145 + 2*o**2. Determine n(38). 0 Let s(c) = c**2 - 4*c - 10. Suppose -5*b = 3*z + 112 + 125, 4*z = 5*b - 281. Let f = 75 + z. Let p be 9/f - 2 - (1 + -1). Calculate s(p). 11 Suppose -33 = -4*s +
{ "pile_set_name": "DM Mathematics" }
se -y = 4*y - q. What is the remainder when 5 is divided by y? 1 Let u = -130 + 238. Calculate the remainder when u is divided by 22. 20 Let w = 28 + -18. Calculate the remainder when 67 is divided by w. 7 Suppose 2*b + 0 - 4 = 0. Suppose -b*z + 5 = 3*z. Let o = -65 - -66. Calculate the remainder when o is divided by z. 0 Suppose 4*y + 8 = 3*g, 2*g - 1 = 5*y + 9. Let z = y + 3. Let k(w) = 16*w - 1. What is the remainder when 43 is divided by k(z)? 13 Let g(c) = 2*c**2 + 12*c + 1. Calculate the remainder when g(-9) is divided by 7. 6 Suppose -5*d - l = -143, 3*d + 3*l - 87 = 2*l. What is the remainder when d is divided by 8? 4 Let l(b) = -b**2 + 5*b + 4. Let m be l(6). Let d be m + (22 + 0)/(-2). Let k = 23 + d. What is the remainder when 29 is divided by k? 9 Suppose -5*z - 4*u + 96 = -3*z, 5*z - 218 = u. What is the remainder when -1*(-3)/(3/z) is divided by 15? 14 Suppose -26 = 4*j + 10. Let f = 2 - j. What is the remainder when 32 is divided by f? 10 Let t(c) = -c**3 + 20*c**2 - 19*c + 17. What is the remainder when 48 is divided by t(19)? 14 Suppose -v = 5*l - 69 - 39, -3*v = -4*l + 94. Let j(b) = b**3 - 8*b**2 + 20*b - 17. Calculate the remainder when l is divided by j(5). 6 Let f = 2 + 5. Suppose -3*r = -23 - f. What is the remainder when 27 is divided by r? 7 Suppose -2*w + 843 = 3*w + s, -2*s = 4*w - 672. What is the remainder when w is divided by 43? 40 Let a = -32 + 56. Calculate the remainder when 71 is divided by a. 23 Let z be (-46)/(-4) - (-9)/(-6). Let w = -4 + z. What is the remainder when 22 is divided by w? 4 Suppose z - 15 = -3*t - 2*z, 3*t - 7 = 5*z. What is the remainder when 6 is divided by t? 2 Suppose 0 = n + 1 - 0. Let c = n + 1. Suppose 2*o + 2*o - 2*b - 16 = c, -4*o + 2 = 5*b. What is the remainder when 4 is divided by o? 1 Let a = 48 + -46. What is the remainder when 13 is divided by a? 1 Let p(z) = -z**3 + 8*z**2 + 8*z + 12. Let c be p(9). Suppose -g = -o - 4*o + 23, -c*o = g - 17. What is the remainder when 3 is divided by g? 1 Let s be (-1)/(1 + 0)*-43. Suppose -2*i - 3*f + 59 = 2*f, -3*i - 2*f + 72 = 0. Let j = s - i. What is the remainder when j is divided by 11? 10 Suppose 7*n = 2*n + 10. What is the remainder when ((-11)/n)/(1/(-2)) is divided by 4? 3 Let o be -2 - (-41 - 0 - 1). Suppose 3*w + o = -2*w. Let x = w + 11. Calculate the remainder when 7 is divided by x. 1 Let j = 5 + -3. Suppose -5*s - h + 19 = 0, -3*s + 2*h + 1 = -0*h. What is the remainder when s is divided by j? 1 Let m(i) = i - 14. Let s be m(9). Let t = -6 + 15. Let p = t + s. Calculate the remainder when p is divided by 3. 1 Suppose 0 = 5*l - l + 12. Let y(j) = -j**2 - 6*j - 3. Calculate the remainder when y(l) is divided by 5. 1 Suppose 3*q = -3*c + 5 + 13, q + 3*c - 12 = 0. Suppose 0*t + q*t - 111 = 0. Let m = -103 - -116. Calculate the remainder when t is divided by m. 11 Suppose 3*f + k - 17 = 0, -f - 5*k = -5*f + 29. Suppose 3*g = 2*j + 31, -j - f = -1. What is the remainder when 12 is divided by g? 5 Let x(a) = 5*a**2 + 3*a + 3. Suppose -2*k + 140 = 2*f, -2*k - 5*f = -7*f - 128. Calculate the remainder when k is divided by x(-2). 16 Let d = 256 + -73. Suppose -s + 189 = 3*n + n, -4*n = 3*s - d. What is the remainder when n is divided by 17? 14 What is the remainder when (-18)/(-12) - 46/(-4) is divided by 8? 5 Let g(q) = q**2 + 10*q + 11. What is the remainder when g(-13) is divided by 13? 11 Let a(c) = 3*c - 12. Suppose -5*o + 3*o + 14 = 0. What is the remainder when 16 is divided by a(o)? 7 Let z be 3/(-4) - (-693)/44. Let i = z + -7. What is the remainder when 23 is divided by i? 7 Calculate the remainder when 5 + (-5)/5*-117 is divided by 31. 29 Suppose 7*d + 84 = 28*d. What is the remainder when d is divided by 1? 0 Let i be (2 + (1 - 1))*-19. Suppose 10*f = 5*f + 280. What is the remainder when f is divided by (i/3)/((-4)/6)? 18 Let i(w) = w**3 + 11*w**2 + 9*w - 3. Suppose 5*s - 4*s = -5*n + 4, n = 3*s - 12. What is the remainder when i(-10) is divided by s? 3 Let z = 324 + -207. What is the remainder when z is divided by 24? 21 Let u(i) = i**3 - 11*i**2 + 19. What is the remainder when u(11) is divided by 8? 3 Let x be (4/5)/(5/25). Suppose 5*k + 5*c = -5, -3*k - c = -x - 3. Calculate the remainder when 7 is divided by k. 3 Let l = -94 - -103. What is the remainder when ((-3)/(-2))/(1/10) is divided by l? 6 Let f be 2/5 + 399/15. Let u = f + 2. Calculate the remainder when u is divided by 10. 9 Calculate the remainder when (-3)/(-7) - (-148)/14 is divided by 6. 5 Suppose -3*m + 15 = 0, 90 = 5*j + 3*m + 2*m. Calculate the remainder when j is divided by 4. 1 Let h = -12 + 15. Suppose -h*b + 21 = -2*b. What is the remainder when b is divided by 8? 5 Let h be 8/(-20) - 204/(-10). Suppose -5*k + h = 2*x - 12, -k = -2*x + 32. What is the remainder when 28 is divided by x + -1 + 0/7? 13 Let r(q) = -4 - 8*q - 2 + 1 + q**2 + 0. Let u(n) = n**3 + 5*n**2 + 2*n + 2. Let a be u(-4). What is the remainder when 43 is divided by r(a)? 13 Let f(p) = p**3 - 2*p - 1. Calculate the remainder when 56 is divided by f(3). 16 Let o(l) = l**2 + 7*l + 2. Let j be o(-7). Let g be j - 2*(-1)/2. Suppose -g*p + 36 = 6. Calculate the remainder when 18 is divided by p. 8 Suppose -2*t + 6*t = 128. Calculate the remainder when t is divided by 10. 2 Suppose 5*r + 3 = -2, -5*x = 4*r - 16. Suppose 2*m = z + 4*z - 7, 2*m = 8. Calculate the remainder when x is divided by z. 1 Let s(w) = -36*w - 7. Calculate the remainder when s(-4) is divided by 28. 25 Suppose -4*u = -5*u + 18. Calculate the remainder when 34 is divided by u. 16 Let p = -13 - -15. What is the remainder when p is divided by 1? 0 Suppose 0*w + 64 = 2*w. Suppose -3*a + 4 + w = 0. Let n = 35 - 13. Calculate the remainder when n is divided by a. 10 Let d(c) = 8*c**2 - 5*c + 5. What is the remainder when 79 is divided by d(2)? 25 What is the remainder when (-16)/(-20)*70/4 is divided by 9? 5 Let i(y) be the second derivative of -y**4/12 + 3*y**3/2 - y**2/2 - 3*y. Calculate the remainder when 32 is divided by i(3). 15 Let q be (-2 - 5/2)*-2. Let t(d) = d**3 - 8*d**2 - 6*d + 1. Suppose -50 = 2*l - 7*l. Calculate the remainder when t(q) is divided by l. 8 Suppose 0 = -5*z - 20, -z - 8 = 2*h + 16. Suppose -7*u - 19 - 9 = 0. What is the remainder when 5 is divided by h/u + 15/10? 1 Let k be 1 + 1/1*-21. Suppose 0 = -v + 3*v - 62. Let g = k + v. What is the remainder when 31 is divided by g? 9 Let m = 63 + -43. Calculate the remainder when 72 is divided by m. 12 Let l = 58 - 24. Let q = l - 7. Let v(x) = 13*x**2 + x. What is the remainder when q is divided by v(1)? 13 Let k(j) = -j**3 - 20*j**2 - 25*j - 19. What is the remainder when k(-19) is divided by 12? 11 Suppose 0 = -5*y + r + 6 + 7, 4*y = r + 10. Suppose -55 = -y*i + 80. What is the remainder when i is divided by 16? 13 Suppose 0*g + 3*g - 129 = 0. Suppose 2*x = -i + 4*i - 51, -4*i + x = -63. What is the remainder when g is divided by i? 13 Let z = -73 - -125. Suppose -2*s + 33 + 45 = 0. Suppose -4*w + 5*k = -62, -4*w + s = 5*k - 43. Calculate the remainder when z is divided by w. 16 Let y(a) = 5*a + 2. Calculate the remainder when y(6) is divided by 15/(-10)*(-102)/9. 15 Let g be (1*51)/1*1. Suppose 0*m - g = -3*m. Calculate the remainder when m is divided by (-1)/3 - (-32)/6. 2 Suppose 13 + 33 = 3*f - z, -2*z = -3*f + 50. What is the remainder when 139 is divided by f? 13 Let m(d) be the first derivative of -6*d - 2*d**2 - 3*d + 0 + 3*d**2 - 2. What is the remainder when 21 is divided by m(10)? 10 Let b = 85 - 59. What is the remainder when 103 is divided by b? 25 What is the remainder when 81 is divided by (-36)/9 - 25/(-1)? 18 Calculate the remainder when (6/18)/((-2)/(-120)) is divided by 8. 4 Let v = -1 - -11. What is the remainder when 27 is divided by v? 7 Suppose 5*p - 9 = -4. Suppose -1 = -w - 2*r, -w - r - 5 = -p. What is the remainder when (-6)/27 - 587/w is divided by 22? 21 Let g = -18 + 25. Suppose -5*i = -3*i - 8. What is the remainder when g is divided by i? 3 Let z(f) = -f**2 + 5*f + 2. Let n be z(5). Suppose 3*r = n*r - 3. What is the remainder when (-3)/((-93)/30 - r) is divided by 16? 14 Suppose -11 = l - 3*o, o + 2*o + 13 = -2*l. Let g = l + 18. Suppose 3*y - 95 = -8. What is the remainder when y is divided by g? 9 Let u be -1
{ "pile_set_name": "DM Mathematics" }
80? -x**3 - x**2 + 14*x + 84 What is the n'th term of -907, -904, -901? 3*n - 910 What is the q'th term of 482, 1934, 4354, 7742, 12098? 484*q**2 - 2 What is the x'th term of -30, -38, -46? -8*x - 22 What is the g'th term of 11, 45, 101, 179, 279, 401, 545? 11*g**2 + g - 1 What is the p'th term of 319, 324, 333, 346, 363, 384, 409? 2*p**2 - p + 318 What is the s'th term of 102, 37, -42, -141, -266, -423, -618? -s**3 - s**2 - 55*s + 159 What is the i'th term of 103, 123, 143? 20*i + 83 What is the j'th term of -77, -148, -215, -278? 2*j**2 - 77*j - 2 What is the d'th term of 629, 627, 625, 623, 621, 619? -2*d + 631 What is the z'th term of 8, 34, 60, 86? 26*z - 18 What is the c'th term of -369, -365, -363, -363, -365, -369, -375? -c**2 + 7*c - 375 What is the r'th term of -494, -1108, -1736, -2384, -3058, -3764? -r**3 - r**2 - 604*r + 112 What is the j'th term of 59, 62, 65, 68, 71? 3*j + 56 What is the w'th term of 17, 24, 29, 26, 9? -w**3 + 5*w**2 - w + 14 What is the j'th term of 146, 119, 78, 17, -70? -j**3 - j**2 - 17*j + 165 What is the i'th term of 8, 16, 20, 20, 16, 8, -4? -2*i**2 + 14*i - 4 What is the n'th term of -22, -23, -26, -31? -n**2 + 2*n - 23 What is the b'th term of -475, -461, -437, -403, -359, -305, -241? 5*b**2 - b - 479 What is the p'th term of -36, -65, -80, -75, -44, 19, 120? p**3 + p**2 - 39*p + 1 What is the q'th term of 7, -18, -93, -242, -489? -4*q**3 - q**2 + 6*q + 6 What is the m'th term of -178, -273, -368, -463? -95*m - 83 What is the a'th term of 280, 283, 286, 289? 3*a + 277 What is the l'th term of 413, 409, 403, 395? -l**2 - l + 415 What is the h'th term of -67, -4, 55, 110, 161, 208, 251? -2*h**2 + 69*h - 134 What is the s'th term of -20, -60, -148, -308, -564? -4*s**3 - 12*s - 4 What is the j'th term of 97, 162, 229, 298? j**2 + 62*j + 34 What is the x'th term of 122, 253, 388, 527, 670, 817, 968? 2*x**2 + 125*x - 5 What is the f'th term of -73, -148, -223? -75*f + 2 What is the d'th term of -14, -15, -6, 19, 66, 141, 250, 399? d**3 - d**2 - 5*d - 9 What is the r'th term of -766, -765, -764, -763, -762, -761? r - 767 What is the m'th term of 932, 927, 910, 875, 816, 727? -m**3 + 2*m + 931 What is the t'th term of -6, -11, -18, -27, -38, -51, -66? -t**2 - 2*t - 3 What is the v'th term of -73, -114, -141, -148, -129? v**3 + v**2 - 51*v - 24 What is the z'th term of 62, 2, -58, -118, -178? -60*z + 122 What is the n'th term of 137, 275, 413, 551, 689? 138*n - 1 What is the l'th term of 9032, 9035, 9048, 9077, 9128, 9207, 9320? l**3 - l**2 - l + 9033 What is the s'th term of 9825, 9824, 9823, 9822? -s + 9826 What is the s'th term of -88, -140, -228, -352? -18*s**2 + 2*s - 72 What is the k'th term of 15, 22, 33, 48, 67, 90? 2*k**2 + k + 12 What is the c'th term of -58, -119, -180, -241, -302? -61*c + 3 What is the y'th term of 589, 1182, 1777, 2374, 2973, 3574? y**2 + 590*y - 2 What is the y'th term of 117, 214, 321, 444, 589? y**3 - y**2 + 93*y + 24 What is the r'th term of -234, -442, -650, -858, -1066? -208*r - 26 What is the m'th term of 27, 8, -11? -19*m + 46 What is the i'th term of 249, 479, 709? 230*i + 19 What is the u'th term of -2353, -2356, -2359, -2362, -2365? -3*u - 2350 What is the b'th term of 78, 126, 170, 210, 246, 278? -2*b**2 + 54*b + 26 What is the i'th term of 881, 880, 879? -i + 882 What is the x'th term of 182, 166, 130, 68, -26, -158, -334? -x**3 - 4*x**2 + 3*x + 184 What is the v'th term of -82, -172, -266, -364, -466? -2*v**2 - 84*v + 4 What is the q'th term of 42, 28, -10, -84, -206, -388, -642? -2*q**3 + 44 What is the f'th term of 0, -13, -26, -39? -13*f + 13 What is the o'th term of 3096, 3098, 3094, 3078, 3044, 2986, 2898, 2774? -o**3 + 3*o**2 + 3094 What is the y'th term of -652, -653, -654, -655, -656? -y - 651 What is the c'th term of -1048, -2103, -3172, -4261, -5376? -c**3 - c**2 - 1045*c - 1 What is the d'th term of 8, 10, 12, 14? 2*d + 6 What is the j'th term of 87, 173, 273, 393, 539, 717, 933, 1193? j**3 + j**2 + 76*j + 9 What is the f'th term of 6, -8, -34, -72, -122, -184, -258? -6*f**2 + 4*f + 8 What is the i'th term of -39, -46, -53, -60, -67? -7*i - 32 What is the l'th term of 23, 52, 93, 152, 235, 348, 497, 688? l**3 + 22*l What is the o'th term of -74, -153, -228, -293, -342, -369, -368, -333? o**3 - 4*o**2 - 74*o + 3 What is the r'th term of 72, 167, 274, 399, 548, 727, 942? r**3 + 88*r - 17 What is the d'th term of 95, 191, 287, 383? 96*d - 1 What is the z'th term of 2018, 8076, 18174, 32312, 50490, 72708, 98966? 2020*z**2 - 2*z What is the k'th term of 5, 76, 195, 362, 577? 24*k**2 - k - 18 What is the d'th term of -72, -59, -44, -27, -8? d**2 + 10*d - 83 What is the j'th term of 6, 9, -12, -69, -174, -339? -2*j**3 + 17*j - 9 What is the y'th term of -19, -17, -15, -13? 2*y - 21 What is the i'th term of -16, -11, 4, 35, 88, 169? i**3 - i**2 + i - 17 What is the f'th term of 11, 25, 57, 113, 199, 321? f**3 + 3*f**2 - 2*f + 9 What is the h'th term of 1286, 1274, 1262, 1250, 1238? -12*h + 1298 What is the g'th term of -132, -129, -124, -117, -108, -97? g**2 - 133 What is the v'th term of 54, 109, 166, 225, 286, 349, 414? v**2 + 52*v + 1 What is the b'th term of 36, 118, 236, 378, 532, 686? -2*b**3 + 30*b**2 + 6*b + 2 What is the b'th term of -185, -182, -173, -158, -137, -110, -77? 3*b**2 - 6*b - 182 What is the j'th term of -60, -44, -14, 36, 112? j**3 + j**2 + 6*j - 68 What is the b'th term of 668, 673, 680, 689, 700, 713? b**2 + 2*b + 665 What is the l'th term of -21, -44, -91, -174, -305? -2*l**3 - 9*l - 10 What is the i'th term of -60, -131, -196, -255, -308, -355, -396? 3*i**2 - 80*i + 17 What is the o'th term of 231, 234, 237, 240? 3*o + 228 What is the q'th term of -320, -646, -970, -1292? q**2 - 329*q + 8 What is the s'th term of 85, 69, 19, -83, -255, -515, -881? -3*s**3 + s**2 + 2*s + 85 What is the i'th term of -48, -199, -350, -501, -652, -803? -151*i + 103 What is the l'th term of -76, -109, -200, -379, -676, -1121, -1744? -5*l**3 + l**2 - l - 71 What is the c'th term of -41, -47, -63, -95, -149, -231, -347, -503? -c**3 + c**2 - 2*c - 39 What is the f'th term of 406, 413, 426, 445? 3*f**2 - 2*f + 405 What is the m'th term of 1131, 1130, 1129? -m + 1132 What is the y'th term of -179, -176, -173? 3*y - 182 What is the w'th term of 873, 1748, 2623? 875*w - 2 What is the k'th term of 48, 59, 70, 81, 92? 11*k + 37 What is the o'th term of -22, -41, -96, -205, -386, -657, -1036, -1541? -3*o**3 + 2*o - 21 What is the q'th term of -3873, -3872, -3871, -3870? q - 3874 What is the u'th term of 91, 139, 187? 48*u + 43 What is the i'th term of 81, 180, 305, 468, 681, 956, 1305? 2*i**3 + i**2 + 82*i - 4 What is the g'th term of -32, -79, -194, -407, -748, -1247, -1934? -5*g**3 - 4*g**2 - 23 What is the v'th term of 10, -4, -60, -176, -370, -660, -1064? -3*v**3 - 3*v**2 + 16*v What is the z'th term of -164, -142, -120, -98? 22*z - 186 What is the l'th term of 391, 789, 1187, 1585? 398*l - 7 What is the r'th term of 584, 2331, 5242, 9317, 14556, 20959? 582*r**2 + r + 1 What is the v'th term of 8, 4, 2, 2, 4, 8, 14? v**2 - 7*v + 14 What is the k'th term of -42, -45, -46, -45, -42? k**2 - 6*k - 37 What is the s'th term of -22, -20, -4, 32, 94, 188? s**3 + s**2 - 8*s - 16 What is the u'th term of -127, -132, -137, -142, -147? -5*u - 122 What is the l'th term of 67, 100, 133? 33*l + 34 What is the x'th term of 83, 96, 123, 170, 243? x**3 + x**2 + 3*x + 78 What is the u'th term of -10704, -21408, -32112, -42816, -53520, -64224? -10704*u What is the l'th term of -42, -78, -108, -132, -150? 3*l**2 - 45*l What is the k'th term of -299, -1241, -2811, -5009? -314*k**2 + 15 What is the u'th term of -60, -38, 12, 102, 244? 2*u**3 + 2*u**2 + 2*u - 66 What is the f'th term of -35, -123, -269, -473, -735, -1055, -1433? -29*f**2 - f - 5 What is the m'th term of 73, 64, 55, 46, 37, 28? -9*m + 82 What is the v'th term of -43, -45, -41, -31, -15, 7, 35? 3*v**2 - 11*v - 35 What is the o'th term of 66, 122, 154, 150, 98? -2*o**3 + 70*o - 2 What is the p'th term of 55, 120, 193, 274, 363? 4*p**2 + 53*p - 2 What is the v'th term of -81, -120, -159, -198, -237? -39*v - 42 What is the n'th term of 0, 66, 190, 378, 636, 970, 1386? n**3 + 23*n**2 - 10*n - 14 What is the d'th term of -388
{ "pile_set_name": "DM Mathematics" }
9/6. Suppose -2*i + 3*q = -0*i - 10, a = 3*i - 5*q - 16. What are the prime factors of 40/i + (1 - 4)? 17 Let h(w) = -2*w + 2. Let m(a) = -3*a + 3. Let l(f) = 5*h(f) - 3*m(f). Let n be l(-1). Suppose -n*y - y + 39 = x, -x = 4*y - 39. List the prime factors of x. 3, 13 Suppose 258 - 68 = 5*h + 2*c, 3*h + 2*c - 114 = 0. Let g = h + 127. List the prime factors of (16/20)/(3/g). 2, 11 Let f = 16 + -11. Suppose 2*o = 53 + f. List the prime factors of o. 29 Let b = 158 - 156. Let j(y) = -3*y**3 - 1. Let g be j(-1). What are the prime factors of g/((-21)/11 + b)? 2, 11 Suppose 0 = -3*f - 0 + 3. What are the prime factors of (f/(-3))/(8/(-48)) + 31? 3, 11 Let m be (-1)/(2/10) + -3. Let l be m/((-3)/(6/4)). Suppose 2*u + d = 21 - 9, l*d = -4*u + 20. What are the prime factors of u? 7 Let u = 36 - 66. Let b be u/(-4)*(-8)/(-12). Suppose b*g = a + 299, 4*g - g - a - 181 = 0. What are the prime factors of g? 59 Suppose -h - 120 = 4*x - 316, -2*h + 4*x + 380 = 0. Let q = -100 + h. List the prime factors of q. 2, 23 Let q(u) = -u - 9. Let r = -6 + -2. Let g be q(r). List the prime factors of (0 - (g + -19)) + 3. 23 Let r(s) = 2*s**3 - 7*s**2 + 28*s - 15. What are the prime factors of r(7)? 2, 131 Suppose 5*n + 1 = 16. Let i(z) = 5*z + 8 - z**n + 5*z**2 - 2*z**2 + 2*z**2. List the prime factors of i(6). 2 Let v(y) = -14*y - 7*y - 2*y**2 + 9 + 6*y - 6*y. What are the prime factors of v(-9)? 2, 3 Suppose -2*o + 0*o + 254 = 0. Let n = o - 7. List the prime factors of n. 2, 3, 5 Suppose 3*g - 87 = -3*v + 6, -v - 85 = -3*g. Let z = g + -12. Suppose -41 = -2*b + z. List the prime factors of b. 29 Let r(s) = s**3. Let o(g) be the third derivative of 7*g**6/120 - 7*g**5/60 + 2*g**3/3 - 2*g**2. Let c(h) = o(h) - 6*r(h). What are the prime factors of c(7)? 2 Let j(f) = -465*f**3 - f**2. Let b be j(-1). Suppose -2*o - 2*h + b = -0*h, 689 = 3*o - 4*h. What are the prime factors of (-2)/(-8) - o/(-4)? 2, 29 Let a = 2995 + 11. What are the prime factors of a? 2, 3, 167 Suppose 1798 + 7911 = 19*t. What are the prime factors of t? 7, 73 Let i = 26 + -27. Let s be 0 - (-71 + 0/i). Suppose 0 = 3*t - 3*j - 34 - 32, -3*t + 4*j = -s. List the prime factors of t. 17 Let x be 3*(-2)/12*-6. Suppose -2*g - q = -244 - 327, -x*g = q - 859. List the prime factors of g. 2, 3 Let o be (-3)/(0 - 1) - -3. Suppose 3*s - 2*s = o. Suppose v + s = -4*h + 30, -8 = 4*h. What are the prime factors of v? 2 Suppose 8*a - 3*a = 20, 3*m + 2*a - 6524 = 0. List the prime factors of m. 2, 3, 181 Let t = -7 - 0. Suppose -2*l + 0*v = 5*v + 63, l = 4*v + 1. Let o = t - l. List the prime factors of o. 2, 3 What are the prime factors of (-12)/(-20) - 4348/(-20)? 2, 109 Let b be 2/(-4) - 44/(-8). Suppose 0 = 3*w, -j - b*w = -3*j + 106. What are the prime factors of j? 53 Let w = 32 + -18. List the prime factors of w/7 + -6 - -4*21. 2, 5 Suppose z = -r + 6*r - 6600, -2*r + 3*z + 2627 = 0. List the prime factors of r. 1321 Suppose 8532 = -168*k + 177*k. List the prime factors of k. 2, 3, 79 Suppose -5*v - 35 = 4*k - 124, -3*k = 5*v - 93. What are the prime factors of v? 3, 7 Let k be 18*(-76 + 1 + 1). What are the prime factors of (k/45)/(4/(-10))? 2, 37 Suppose q - 53 + 12 = 0. Let b = 89 - q. List the prime factors of b. 2, 3 Let j(z) = z**3 + 14*z**2 - 7*z - 17. Let n be j(-14). Let k = n + -27. What are the prime factors of k? 2, 3 Suppose -2*q + 546 = 4*a, -2*a + 5*q = q - 258. Let l = 53 - a. Let g = -50 - l. What are the prime factors of g? 2 Let g(w) = w**2 + w + 1. Let j be g(3). Suppose -4*k + 21 = 2*p - 25, j = k + p. List the prime factors of k + (0/(-3) - 3). 7 Let u(j) = -7*j + 25. Let o be u(4). List the prime factors of (2/o - 1455/(-9))/1. 7, 23 Suppose 0 = 5*l - 13*l + 4192. Suppose 7*j - 4*d - l = 4*j, -5*d - 870 = -5*j. What are the prime factors of j? 2, 43 Suppose -h - 5*n = -6*n - 26, -n - 56 = -2*h. Suppose 2*r = 2, l = -2*r + r + 3. Suppose h = l*u + u. List the prime factors of u. 2, 5 Let p(f) = f**3 + 11*f**2 - 4. Let n be p(-11). Let v be (-1)/(-2) + 2/n. Suppose v = -c + 23 - 2. List the prime factors of c. 3, 7 Let k(u) = -13*u - 9. Let x be k(-5). Suppose b - 204 = -5*g, 5*b - b - x = -g. List the prime factors of g. 2, 5 Let y(g) = -g**2 + 20*g - 2. Suppose 2*j = 5*j + 5*a - 28, j = 4*a + 32. List the prime factors of y(j). 2, 31 Let o = -5149 + 8317. List the prime factors of o. 2, 3, 11 Suppose 0 = -438*v + 428*v + 5670. List the prime factors of v. 3, 7 Let d(f) = 14*f - 13. Let c be d(4). Suppose -13 = -b + c. List the prime factors of b. 2, 7 Let u(b) = 6*b**2 - 4*b - 5. Let i = -32 + 35. What are the prime factors of u(i)? 37 What are the prime factors of 4/60 + 207467/195? 2, 7, 19 Let o = -424 + 807. Suppose -5*k + 272 = -o. List the prime factors of k. 131 Let u(q) = 102*q**2 + 18*q + 17. Let b be u(-1). Suppose 2*w - 3*w + 4*h = -68, 0 = -5*w + 5*h + 325. Let g = b - w. List the prime factors of g. 37 Let v(u) = 10*u**2 + 26*u + 89. What are the prime factors of v(-13)? 11, 131 Let d = 4 + -1. List the prime factors of d. 3 Suppose -9*h = -12*h - k + 983, -309 = -h - 5*k. List the prime factors of h. 7, 47 Let t(x) = x**3 - 12*x**2 + 15*x + 9. Let f(v) = -v**2 - v + 1. Let p(h) = -3*f(h) - t(h). Let a be p(14). List the prime factors of (5 - 3) + 0 + a. 2, 3 Let j(p) = -p - 17. Let r be j(-25). List the prime factors of 3 + r + -4 + -5. 2 Let c(q) = -584*q + 124. What are the prime factors of c(-3)? 2, 7, 67 Let z be 2/(-4) - 37/(-2). Let a be (-18 - (1 + 3))/(-2). Let f = z - a. List the prime factors of f. 7 Let w be -20 + -1 - (23 - 26). Let o = 44 + w. List the prime factors of o. 2, 13 Suppose -10*x + 13262 = -3198. List the prime factors of x. 2, 823 What are the prime factors of 4/(-10) + ((-33470)/(-50) - 7)? 2, 331 Let k be (95 - 0)*(-5)/(-25)*10. Suppose -5*h + 13 = f - k, 406 = 2*f + h. What are the prime factors of f? 7, 29 Suppose -5*w + 99 = 89. Let r be (-2 - 0)*(-6)/4. Let k = r + w. List the prime factors of k. 5 Suppose -21*z + 25*z = 3*h - 5518, -4*z - 1834 = -h. What are the prime factors of h? 2, 3, 307 Let y be 3*1 - (-73 - 6). Suppose 4*o = 4*j + 204, -o - 135 = 3*j + 2*o. Let v = j + y. List the prime factors of v. 2, 17 Suppose 9*s - 86 = 21406. List the prime factors of s. 2, 3, 199 Let j(a) = -8*a**2 + 16*a - 15. Let c(r) = 7*r**2 - 16*r + 14. Let o(b) = 7*c(b) + 6*j(b). What are the prime factors of o(18)? 2, 11 List the prime factors of 41 - ((-18)/30)/((-2)/10). 2, 19 Let z(y) = 484*y**3 + y**2 + 6*y - 7. What are the prime factors of z(1)? 2, 11 List the prime factors of (((-140)/8)/(-7))/(1/358). 5, 179 Let b = -9 - -13. Let u be (-15)/b - 3/12. List the prime factors of -3 - ((-2 - -1) + u). 2 Let g(n) = 8*n + 176 - 177 - 25*n. Let c be g(1). Let y = 51 + c. What are the prime factors of y? 3, 11 Suppose 3*w - 2*r = 154 - 3, w - 41 = 3*r. List the prime factors of w. 53 Let t = 9 + -51. Let x = 69 + t. List the prime factors of 6/x - 104/(-18). 2, 3 Suppose 5*a = -0*y - y + 5428, 5*a + 5*y - 5440 = 0. What are the prime factors of a? 5, 7, 31 Let i be 3/(-1 - -4)*(232 - -5). Suppose 5*g - 427 = -4*x, 2*g + 112 = 3*x - i. List the prime factors of x. 113 Let h = -9 - -3. Let t be 4/h*-87 + -2. Suppose -t = -4*u + 132. List the prime factors of u. 47 Let k be (8 + 7)*(-54)/(-10). Suppose -4*m + 4*x = -3*m - k, 2*m + 2*x - 152 = 0. What are the prime factors of m? 7, 11 Let c be 77 - (8/4 + -2). Suppose -5*n + 552 = -p, -n + 3*p + 79 + 37 = 0. Let l = n - c. List the prime factors of l. 3, 11 Let d = -9 - 36. Let i be 151/2 + (-4)/8. Let y = d + i. What are the prime factors of y? 2, 3, 5 Let t = 45 + 105. Suppose 14*w - t = 16*w. Let v = 105 + w. List the prime factors of v. 2, 3, 5 Let k(z) = 25*z - 4 - 2 + 1 + 4. What are the prime factors of k(6)? 149 Let q = 8821 + -3712. What are the prime factors of q? 3, 13, 131 Let i(s) = s**2 + 2*s + 4. Let g(p) be the third derivative of -p**4/24 - 4*p**3/3 + 3*p**2. Let y be g(-4). List the prime factors of i(y). 2, 3 List the prime factors of (-1 + 0)*3*(-9 - 117). 2, 3, 7 Let c(y) = 11*y + 20. Let i(g) = g + 2. Let f(q) = -c(q) + 2*i(q). List the prime factors of f(-3). 11 Suppose -2548 = -3*m - 2*g - 3*g, -4195 = -5*m + 2*g. List the prime factors of m. 29 Let t(r) = -13*r**3 - 5*r**2 -
{ "pile_set_name": "DM Mathematics" }
+ sqrt(44))/(sqrt(400)*1 + sqrt(400)) + -1)*-4. -4*sqrt(11)/15 + 4 Simplify (2*((sqrt(224) - -2*sqrt(224) - sqrt(224) - sqrt(224) - sqrt(224) - sqrt(224)) + sqrt(224)))/(5*((sqrt(7) - sqrt(175)*1) + sqrt(7))) + 2. 2 Simplify (sqrt(720) + (-2*(sqrt(720) + 3) - sqrt(720)) + sqrt(720) - sqrt(720) - (-5 + 2 + sqrt(720)))**2. 216*sqrt(5) + 6489 Simplify (-4*((-2*sqrt(1134) - sqrt(1134)) + sqrt(1134) + sqrt(1134)) - sqrt(1134))/((sqrt(147)/sqrt(3))/sqrt(7) + sqrt(77)/(sqrt(33)/sqrt(3))). 27*sqrt(2)/2 Simplify (2*sqrt(726) - (sqrt(108)/sqrt(3))/sqrt(6))/((1*sqrt(1152) - sqrt(18) - sqrt(18))/sqrt(6)). 7*sqrt(2)/2 Simplify ((-6*sqrt(315)/(sqrt(30)/sqrt(6)))/(sqrt(18)/(1*sqrt(2)) + (sqrt(9) - 3*1*sqrt(9))))**2. 252 Simplify -2 + (-1 + -4 + -3 + 0 + sqrt(252))**2. -96*sqrt(7) + 314 Simplify (sqrt(7488)*1 + sqrt(52) + sqrt(1872) + 2*sqrt(1872))/(sqrt(576) + (-1*sqrt(576) + sqrt(576))*1). 31*sqrt(13)/12 Simplify (-3 + sqrt(2448)*4 + sqrt(2448) + ((-3 + sqrt(2448) - sqrt(2448)) + -2 - sqrt(2448)))**2. -768*sqrt(17) + 39232 Simplify (-1 + -6*(sqrt(192) + sqrt(192)*1))**2. 192*sqrt(3) + 27649 Simplify (0 + sqrt(432))*2*-2 + ((2 + sqrt(3) + 3)**2 - -3*sqrt(3)*-6). -56*sqrt(3) + 28 Simplify 2*(5 + sqrt(605)*2 + -4 + 1) + 1. 5 + 44*sqrt(5) Simplify (sqrt(19) + 0 + sqrt(19) + 1 - (sqrt(133)*-3 - sqrt(133))/sqrt(7))*-6. -36*sqrt(19) - 6 Simplify (sqrt(13) + 2)**2*-4*-2 - (6*1*sqrt(13) + sqrt(13) + 3)**2. -510 - 10*sqrt(13) Simplify (sqrt(896)*4)/(sqrt(7) - (sqrt(7) + sqrt(448) + sqrt(448) + sqrt(448)*2) - sqrt(7)). -32*sqrt(2)/33 Simplify sqrt(4)/(sqrt(32)*-5) - ((2*sqrt(162))**2 + sqrt(162))*-1. 179*sqrt(2)/20 + 648 Simplify ((sqrt(99)*-1 + 4 - sqrt(99) - (-3 + 0 + sqrt(99)))*5*-4)**2. -50400*sqrt(11) + 376000 Simplify (sqrt(120)/(((sqrt(250)/sqrt(5))/sqrt(10) - sqrt(5)) + sqrt(5)))/(-2*sqrt(192)*-6). sqrt(2)/48 Simplify -2*(0 + (4 + sqrt(48) + 2)**2). -168 - 96*sqrt(3) Simplify ((-2*(sqrt(143) - sqrt(143)*-1))/(sqrt(352)/sqrt(8)))**2. 52 Simplify -5 + (1 + (1 + sqrt(396))*2 - (4*(sqrt(396)*1)**2 + (-2 + sqrt(396) + sqrt(396) + 1)**2)). -3171 + 36*sqrt(11) Simplify (-1 + sqrt(605))*5*-1 - ((1 + 1 + sqrt(605) - sqrt(605)) + (sqrt(605) + -2*sqrt(605))**2 + 1). -603 - 55*sqrt(5) Simplify ((sqrt(300) + 2)*-5*1 + (0 + sqrt(300)*-1)*1)**2. 1200*sqrt(3) + 10900 Simplify 2*(-3*1*(sqrt(272) - (5 + sqrt(272)*2) - sqrt(272))*3)**2. 12960*sqrt(17) + 180306 Simplify (sqrt(343) + (-2 + sqrt(343) + 0)**2 - 3*(sqrt(343) + 1)) + 1*(sqrt(343)*1)**2*-6. -1714 - 42*sqrt(7) Simplify 0 + (-5*(sqrt(32)*3 + 2*sqrt(800) + sqrt(800) + -3))**2. -10800*sqrt(2) + 259425 Simplify -3 + (-5*(-2 + sqrt(3) + (sqrt(3) - 4*sqrt(3)*-3)))**2. -1400*sqrt(3) + 14797 Simplify (sqrt(133) - (sqrt(133) + (sqrt(133) - (sqrt(133)*1 + sqrt(133))*-1) + sqrt(133)) - sqrt(133))/(sqrt(7) + sqrt(140)/sqrt(5)). -5*sqrt(19)/3 Simplify -4 + -1*(sqrt(68) - (-2*sqrt(68))**2) + sqrt(68) + -2 + 5. 271 Simplify 4*-1*(-2*(sqrt(98) + 0 + sqrt(98)))**2*6*1. -37632 Simplify ((-1*sqrt(28)*-1)/((sqrt(36)/sqrt(3))/sqrt(3)) + (-5*(sqrt(77) + sqrt(77)*1 - sqrt(77) - sqrt(77)))/(sqrt(11) - (1*sqrt(176) - sqrt(176))))**2. 7 Simplify 2*(0 + (sqrt(153) + sqrt(153) + sqrt(153) + -6*-1*sqrt(153))/((-2*sqrt(36))/sqrt(4)) + 2)**2. -36*sqrt(17) + 1393/2 Simplify ((sqrt(1872) - sqrt(1872)*-2) + 1 + -6*-2*sqrt(13) + -1*sqrt(117))**2. 90*sqrt(13) + 26326 Simplify 4 + sqrt(152)/(-4*(sqrt(8)*-2 - sqrt(8) - sqrt(8))) + -2. sqrt(19)/16 + 2 Simplify ((-3 + 1*sqrt(175) + sqrt(175) - (sqrt(175) + 3 + 4)) + -5)**2. -150*sqrt(7) + 400 Simplify 4 + ((sqrt(15)/sqrt(3)*5 - (sqrt(15)/sqrt(3) + 0)) + (sqrt(25)/(sqrt(10)/sqrt(2)) - 5*sqrt(80)))**2. 1129 Simplify (sqrt(147)/sqrt(252))/(4*sqrt(12)). sqrt(7)/48 Simplify 0 + -4 + 4*(5 + 3 + (sqrt(208))**2). 860 Simplify (3*((sqrt(153) + (sqrt(153) - sqrt(153)*4))*-4)/(-5*sqrt(27)/sqrt(3)))**2. 9792/25 Simplify (0 + (sqrt(1300) - (2 + (sqrt(1300) + -1 - sqrt(1300)) + sqrt(1300)) - (2 + (-2 + sqrt(1300) + sqrt(1300) - sqrt(1300)) - sqrt(1300))))**2. 1 Simplify 3*(sqrt(85)*2*4 + (sqrt(85) - (1*-1*sqrt(85) - sqrt(85) - sqrt(85))))/(sqrt(60)/sqrt(768)). 288*sqrt(17) Simplify -4*(0 + sqrt(343))*4 - sqrt(42)/(sqrt(864)*1)*6. -225*sqrt(7)/2 Simplify -4*((-2*sqrt(300) + 2)**2 - ((sqrt(3) - (sqrt(9)/sqrt(3)*5)**2) + sqrt(15)/sqrt(5)*6)). -5116 + 348*sqrt(3) Simplify (sqrt(84) - sqrt(84)*-2*-2 - sqrt(84)*-1*3)/(sqrt(768)/sqrt(4) + sqrt(192)*6). 0 Simplify (-4 + (sqrt(1088) + 0)**2)*1 + (-2*sqrt(1088)*-1)**2 + 4. 5440 Simplify (-2*sqrt(4455) - sqrt(4455))/(-4*sqrt(11)*-1) + (3 + ((0 + sqrt(80) - sqrt(80))**2 - sqrt(80)))*-3. -9 + 21*sqrt(5)/4 Simplify 1 + (sqrt(34) + sqrt(34)*-2*-5 - sqrt(3400)*-1)/(1*(sqrt(96)/sqrt(4))/sqrt(12)). 1 + 21*sqrt(17) Simplify (6*(sqrt(272) + -2 - sqrt(272)) + sqrt(272) + sqrt(272) + 1*sqrt(272) + 4 + 5)**2. -72*sqrt(17) + 2457 Simplify ((sqrt(11)*1 + -5 - sqrt(11)) + -5)**2 + 5 - ((-2*sqrt(44) + sqrt(44))*-5)/sqrt(4)*-4. 20*sqrt(11) + 105 Simplify (sqrt(5) - sqrt(20)/sqrt(4))*1 - (sqrt(5) + (sqrt(245)*2 - sqrt(245))**2 + sqrt(5)) - (-3*(sqrt(720) - sqrt(45)) - sqrt(45))/sqrt(9). -245 + 8*sqrt(5) Simplify (((-4 + sqrt(468)*3 - sqrt(468))*6)**2 + -2 + 1)*2. -6912*sqrt(13) + 135934 Simplify ((-1 + sqrt(112))*-1)**2 + ((sqrt(7) - 2*sqrt(7)*-2) + 1*sqrt(21)/sqrt(3))**2 + 3. -8*sqrt(7) + 368 Simplify -5 + sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(468))) + -4 + (sqrt(39)/sqrt(3) + -1 - (sqrt(13) + 0)*-6). -10 + 14*sqrt(13) Simplify (((sqrt(165)/sqrt(3))/sqrt(11) - (sqrt(5) - 3*sqrt(45) - sqrt(5))) + (sqrt(60)*-2)/sqrt(12)*3)**2. 80 Simplify ((-5 + 2*sqrt(1377))**2*4 + -2)*-4. -88520 + 2880*sqrt(17) Simplify (-2*-1*sqrt(468))/(sqrt(9)*-2*-2 + sqrt(9))*1. 4*sqrt(13)/5 Simplify ((sqrt(144) + (-2*sqrt(144) + sqrt(144) + sqrt(144))*-4)/sqrt(6))/(sqrt(48)/sqrt(96) - sqrt(72)/(-1*sqrt(9))). 4*sqrt(3)/5 Simplify ((4*(1*sqrt(99) + sqrt(99)))/((sqrt(324) - (sqrt(324) + sqrt(324)*3 - sqrt(324))) + sqrt(324))*3)**2. 176 Simplify (sqrt(700) + 2 + sqrt(700) + sqrt(700) + 1)**2 + (sqrt(567) + 4)*-2. 162*sqrt(7) + 6301 Simplify (3*(5 + sqrt(17) + 1) + (sqrt(17) + 0 + -3)*-6)**2 + -1. -216*sqrt(17) + 1448 Simplify -3*((sqrt(20)/(sqrt(4) - sqrt(64)) - (sqrt(180)/sqrt(3))/sqrt(12))*3)**2. -240 Simplify 4*((sqrt(500) + 0)**2 + -1 - ((sqrt(180) - (-1 + sqrt(180)))*5)**2). 1896 Simplify ((-2*sqrt(136)*3)/sqrt(8))**2 + (2 + (sqrt(17) + sqrt(153))*6)**2. 96*sqrt(17) + 10408 Simplify (sqrt(198)/sqrt(144) - (-2*sqrt(22) + sqrt(22))*2)/(sqrt(539) - sqrt(539)*2 - (sqrt(11) + (sqrt(11) - -2*sqrt(1331)))). -9*sqrt(2)/124 Simplify (-3 + (1 + sqrt(500))*1 + -6*(sqrt(500) + (sqrt(500) - (-2 + sqrt(500)))) + -3)**2. 1700*sqrt(5) + 12789 Simplify (sqrt(91)/sqrt(1008) + sqrt(13))*6 - (sqrt(832)*2)**2*-5. 13*sqrt(13)/2 + 16640 Simplify (sqrt(1300) + -1 - sqrt(1300))**2 - (5*(sqrt(13) - (sqrt(65)/sqrt(5) - sqrt(13))))**2 - ((-3 + sqrt(65)/(sqrt(5) + sqrt(25)/sqrt(5)))**2 + 5). -1365/4 + 3*sqrt(13) Simplify ((-5*(sqrt(360) - sqrt(360)*1 - sqrt(360)))/sqrt(8))/(sqrt(81)*1 + sqrt(63)/sqrt(112)). 20*sqrt(5)/13 Simplify (4*(1 + sqrt(45)) + sqrt(45)*-3 + 2)**2. 36*sqrt(5) + 81 Simplify 4 + ((5*(sqrt(672) - (sqrt(672) + (sqrt(672) - (sqrt(672) + sqrt(672)*2))) - sqrt(672)))/((sqrt(54) - 2*sqrt(54))*-1))**2. 2836/9 Simplify (sqrt(152) - ((sqrt(152) - sqrt(152)*2 - sqrt(152)) + sqrt(152))*1)/((sqrt(64)*2)/sqrt(8)). sqrt(19) Simplify (sqrt(294) + (sqrt(294) + sqrt(294)*-4 - sqrt(294)) + sqrt(294))/(-2*sqrt(8)/sqrt(4)). 7*sqrt(3) Simplify (2 + (4 + sqrt(28) - (sqrt(42)/sqrt(3) + sqrt(14))/sqrt(2)))**2 + 3. 39 Simplify (6*((-2 + (sqrt(2) - 2*sqrt(2)))**2 + sqrt(2))*3 + -3)*6. 630 + 540*sqrt(2) Simplify ((2 + sqrt(128))**2 + 4 + -4*(6*sqrt(128))**2 + sqrt(128))*-5. -200*sqrt(2) + 91480 Simplify -3 + (-4*-1*sqrt(56) + sqrt(112)/sqrt(2)*-6)/((sqrt(8) - -6*2*sqrt(8))*-3). -3 + 2*sqrt(7)/39 Simplify (-1*(sqrt(175) + (sqrt(175) + -2 - sqrt(175))))**2 + sqrt(175) - (sqrt(567) + (sqrt(567) - (-1 + sqrt(567) + 2))**2 + sqrt(567)). -33*sqrt(7) + 178 Simplify (1 + -2*sqrt(5) + 1 + 5*(-1 + sqrt(720)))**2. -348*sqrt(5) + 16829 Simplify (sqrt(192) + 2)**2 + 2 - (1 + sqrt(300) + -1). 22*sqrt(3) + 198 Simplify 0 + sqrt(192)*1 + ((sqrt(3) - (sqrt(3)*-2 + 5) - sqrt(3)) + 0)**2. -12*sqrt(3) + 37 Simplify -4 + 1 + sqrt(1200) + 0 + (sqrt(192)*1 + -1)**2. 4*sqrt(3) +
{ "pile_set_name": "DM Mathematics" }
- (sqrt(132) - (sqrt(132) + 6*(1*sqrt(132) + sqrt(132)))))/(sqrt(144)/(sqrt(48)/sqrt(4))))**2 + (sqrt(704) + sqrt(44) + -4)**2*-4. -2605 + 320*sqrt(11) Simplify -5*(((2*sqrt(57) - sqrt(57))*5)/(-2*sqrt(3)*2) - ((sqrt(190) + sqrt(190)*1 + sqrt(190) + sqrt(190))*6)/(sqrt(160) + sqrt(160)*1 - sqrt(160)))**2. -79895/16 Simplify (2*sqrt(228)*-3*6*4)/(2*sqrt(1200)*3*4). -3*sqrt(19)/5 Simplify (5*-5*sqrt(2160)*-2)/((sqrt(300) - (sqrt(300)*-4*3 - sqrt(300)))*-4). -15*sqrt(5)/14 Simplify -1*((sqrt(135) + (sqrt(135) - (sqrt(135) + ((sqrt(135) - -2*(sqrt(135) - -3*sqrt(135))) + sqrt(135) - sqrt(135)))))/((-1*sqrt(20))/sqrt(4))*-4)**2. -27648 Simplify (sqrt(882)*4)/(-6*sqrt(9)*-3 + sqrt(9)) + ((sqrt(162) - (sqrt(162) + 0 + sqrt(162) + 3)) + (sqrt(162) - 3*sqrt(162)*2))**2. 6184*sqrt(2)/19 + 5841 Simplify ((-1*4*((sqrt(91) - (sqrt(91) - sqrt(91)*-3*6)) + sqrt(91)))/(((-1*sqrt(294) - sqrt(294))/sqrt(7))/(1*((1*sqrt(6) - sqrt(6)) + sqrt(6)))))**2. 15028 Simplify -2*((sqrt(243) - (-5 + (sqrt(243) + sqrt(243)*3)**2 + sqrt(243))) + 0 - (1 + -4 + 2*sqrt(3)*-6)). -24*sqrt(3) + 7760 Simplify -5 + (-1*sqrt(700))/(sqrt(8)/(sqrt(2)*4))*-1. -5 + 20*sqrt(7) Simplify -5 + ((sqrt(56) - (-3*sqrt(2744) - sqrt(56)) - sqrt(56))/sqrt(8)*-3 - (-2*2*sqrt(70))/(sqrt(10)*2*3)). -196*sqrt(7)/3 - 5 Simplify -6*(4 + (5*sqrt(637) - sqrt(637)) + 5 + 2 + ((sqrt(637) - -5*sqrt(637)) + 5 - sqrt(637)))**2. -311118 - 12096*sqrt(13) Simplify 5 + 1*(0 + (2 + -1 + sqrt(2) - (sqrt(22)*2)/sqrt(11)) + (sqrt(242) - -2*(-3 + sqrt(242)))**2). -397*sqrt(2) + 2220 Simplify (sqrt(209) - (sqrt(209) - 1*sqrt(209)*-3))/(-4*sqrt(275)) + 0 + -1 + (2 + sqrt(1900))**2 + 5. 803*sqrt(19)/20 + 1908 Simplify 2 + ((-2 + (sqrt(605) + 2)*-6 + 4)**2 - 5*(((sqrt(605) + sqrt(605) + 1)*5)**2 + 4 + (-1 + sqrt(605) - sqrt(605))**2 + sqrt(605))). -280768 - 4235*sqrt(5) Simplify (4*(sqrt(28) - sqrt(7)) + sqrt(7) - sqrt(7)*-1*-4)*4 + (5*sqrt(42)/sqrt(3))/((sqrt(2) - -4*-2*sqrt(2)) + sqrt(2)). 19*sqrt(7)/6 Simplify -3*(sqrt(28)/(sqrt(4)*-4) + sqrt(63) + -1 + (sqrt(28) + -3 - sqrt(175)*-1))**2. -32709/16 + 234*sqrt(7) Simplify (sqrt(117)*-2*-2 + sqrt(117) - -5*(sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*-2 - sqrt(117)))))/(6*(sqrt(9) + sqrt(9)*4)*-3*3). -5*sqrt(13)/54 Simplify (sqrt(882)*2*3*-4)/(sqrt(150) - sqrt(150)*-5 - sqrt(294)*-3). -56*sqrt(3)/17 Simplify 3 + 0 + sqrt(405) + sqrt(405) + 3*(0 + sqrt(405)) + ((-5*sqrt(405) + sqrt(405))*6)**2*5 + -5. 45*sqrt(5) + 1166398 Simplify ((3*1*sqrt(30)/(1*sqrt(6)))**2 - (sqrt(45) + -5 - sqrt(30)/(sqrt(6) - (sqrt(216) - sqrt(6)))))*6 + -5. -39*sqrt(5)/2 + 295 Simplify 5 + (1*(-4 + sqrt(162) + -1 - 5*(sqrt(162) + 3))*5)**2. 36000*sqrt(2) + 74805 Simplify ((-5*5*sqrt(171) - sqrt(171)*-4*2)/(-1*sqrt(576)*1*2))**2. 5491/256 Simplify -3*((-2*sqrt(833)*6 + sqrt(833) - 2*sqrt(833)*-1)**2 + ((sqrt(119) + -3*1*sqrt(119) + sqrt(119))/sqrt(7))**2*-5). -202164 Simplify (-5*-3*(2*sqrt(4719) + sqrt(4719)))/(sqrt(27)*-2 - (sqrt(3) - sqrt(147)*4)). 165*sqrt(13)/7 Simplify (-4*((sqrt(684) - 6*(3 + sqrt(684))) + -3 - (-1 + 1 + -1*sqrt(684))))**2*-5. -910800 - 80640*sqrt(19) Simplify (4*(5 + sqrt(78)/(sqrt(6) + sqrt(384)) + 5))**2*-3. -129808/27 - 320*sqrt(13)/3 Simplify ((sqrt(1000) - sqrt(1000)*-1)*-2)/(5*sqrt(1152)*-1). sqrt(5)/3 Simplify (((-5*sqrt(378) - ((sqrt(3402) - 1*sqrt(3402)) + sqrt(3402) + sqrt(3402)))/(2*sqrt(486)*1) + -4)*3)**2. 132*sqrt(7) + 1423/4 Simplify ((sqrt(24)/sqrt(4)*6)/(sqrt(15)/(-2*sqrt(5))))**2 - (-1 + -4*(sqrt(72) + -1 + sqrt(72) + sqrt(72)) + sqrt(72) + 0 + -4)**2. -8425 - 132*sqrt(2) Simplify (((sqrt(66)*1*3 - (sqrt(66) + sqrt(66)*2*6))*3)/((sqrt(120)/sqrt(2)*-5 - sqrt(60))/(sqrt(40)*-5 - sqrt(10))))**2. 33275 Simplify ((5*3*2*sqrt(405))**2 + 5 - (-5*(sqrt(405) + sqrt(405) + sqrt(405) + 2)*-4 + 4))*-3. -1093383 + 1620*sqrt(5) Simplify (5*sqrt(384)*6)/(-2*sqrt(588)*-1). 60*sqrt(2)/7 Simplify (sqrt(65)*-1*-3*1)/(((sqrt(45)*-5)/sqrt(3))/sqrt(3)). -3*sqrt(13)/5 Simplify (-5*((-2*sqrt(21) + sqrt(21))*2 + sqrt(21) + sqrt(84)/sqrt(4)*1))/(sqrt(1200) + sqrt(1200)). 0 Simplify ((sqrt(84)/(sqrt(12)*-2 + sqrt(12)) - sqrt(49)/(1*sqrt(7))) + 3 + 2 + (-2 + sqrt(343))*3)**2. -38*sqrt(7) + 2528 Simplify ((sqrt(3) + -3 + sqrt(48))**2 - (sqrt(2304)/sqrt(12) - sqrt(3) - sqrt(3))) + ((sqrt(432) - 1*2*sqrt(432))*2)**2. -36*sqrt(3) + 1812 Simplify ((-4 + (sqrt(612) - 1*sqrt(612)*-2) + (4 + (sqrt(612) + 1 - sqrt(612)) - (sqrt(612) + 2 + sqrt(612)*-1 + sqrt(612))))*6)**2. -864*sqrt(17) + 88164 Simplify (4*(2 + sqrt(425) - sqrt(425)) + -1 + (sqrt(425) - -1*sqrt(425)) + 3 + 4)**2*1. 280*sqrt(17) + 1896 Simplify ((-5*(1 + sqrt(720)) - sqrt(720)) + sqrt(720) + -2 + sqrt(720) + 5 + -3 + sqrt(720)*-4 + 1)**2*-4. -184384 - 3072*sqrt(5) Simplify 4 + (-6*(sqrt(2299) + -3*sqrt(2299))*-3*5*-5)**2 + -3. 1862190001 Simplify -4 + -6*(-2 + (sqrt(3)*3)**2 - sqrt(3))*-3 + (((sqrt(432) - sqrt(432)*-3) + sqrt(432))**2 + -4 + sqrt(432))*-5 + -4. -53538 - 78*sqrt(3) Simplify -4*(3 + (sqrt(228) - sqrt(228)*-3*5)/((-5*sqrt(108))/sqrt(9))). -12 + 64*sqrt(19)/5 Simplify ((-2*(-2*sqrt(180) - sqrt(180)) - sqrt(180))/sqrt(3)*3)/((sqrt(84) + -2*sqrt(84)*-2)/(5*sqrt(28))). 30*sqrt(5) Simplify (2*(sqrt(27) + 1 - (((sqrt(15) - sqrt(15)*2) + sqrt(15))/sqrt(5) - sqrt(3))))**2 + 3 + 2 + (-1*sqrt(147))**2 + (sqrt(147) + 0)**2*4. 32*sqrt(3) + 936 Simplify (6*6*(-5 + (sqrt(1900) - ((sqrt(1900) - (sqrt(1900) - (-1 + sqrt(1900)))) + sqrt(1900)))*-5))**2 + 2 + 3 + 0. -1296000*sqrt(19) + 61689605 Simplify (-1 + sqrt(1100) + -1 + 3 + (sqrt(1100) - (sqrt(1100) + 1*sqrt(1100)) - sqrt(1100)) + 4 + (sqrt(1100) - 1*-1*sqrt(1100))*-3 + 3)**2. -1120*sqrt(11) + 53964 Simplify -2 + ((-3*sqrt(153)*4 + sqrt(153))*-3)/(3*-2*sqrt(144)). -11*sqrt(17)/8 - 2 Simplify 3*-1*(6*-5*(sqrt(132)*-3 - sqrt(132)))/(5*(sqrt(1452) - -2*sqrt(1452))). -24*sqrt(11)/11 Simplify 1 + -2*((2*3*sqrt(600))/(sqrt(36)/(sqrt(3)*4 - sqrt(3))))**2. -32399 Simplify (-5*(sqrt(572) - -2*(sqrt(572)*-1 - sqrt(572)))/(sqrt(33)/sqrt(3)*1)*2)**2. 46800 Simplify 3 + (-2*(sqrt(500)*6 + sqrt(500)) - sqrt(500)) + (sqrt(180)/(sqrt(9) - sqrt(36)))/(-3*sqrt(144)). -2699*sqrt(5)/18 + 3 Simplify ((2 + 1*(-6*2*sqrt(5) + (sqrt(5) - sqrt(55)/sqrt(176))) + (sqrt(100)/sqrt(4)*-4)/(1*sqrt(20) + sqrt(5)))*5)**2. -3775*sqrt(5)/3 + 2864525/144 Simplify ((0 + 5 + 1 + -1*(-1*-3*sqrt(704) + sqrt(704)))*6)**2. -13824*sqrt(11) + 406800 Simplify -4*(-5 + ((6*3*(sqrt(70) + 3*sqrt(70)))/(sqrt(490) + (sqrt(490)*2 - sqrt(490))*2 + sqrt(490)))**2). -1156/7 Simplify (4*(1 + sqrt(80))**2 - (-2*sqrt(80) + -3)) + (sqrt(80)*2)/(sqrt(12)/sqrt(3)*-2). 38*sqrt(5) + 327 Simplify 6*(sqrt(272) + -5)**2*-2*-4 + (3 + -2*((2*sqrt(204))/sqrt(12) + sqrt(204)/(sqrt(12) - 2*sqrt(12))))**2. -1932*sqrt(17) + 14333 Simplify ((4*sqrt(425)*-3 + -1 - (sqrt(153) + sqrt(17) + -1 + -6*(sqrt(17) + -4)))*-2)**2. 11136*sqrt(17) + 231056 Simplify 2*(((-4*(-1 + sqrt(300)))**2*4 - ((0 + sqrt(300))*2 + sqrt(300))*4) + -1)*-5. -192630 + 14000*sqrt(3) Simplify (sqrt(19) + (-1*sqrt(228))/sqrt(12) - -1*sqrt(304) - (sqrt(19) + 4 + -3*sqrt(19) - (sqrt(95)/sqrt(5) + 0)))**2. -56*sqrt(19) + 947 Simplify ((-2*sqrt(1078))/((sqrt(40)/sqrt(2))/sqrt(10)))**2 + (sqrt(88) + (sqrt(88) - 2*sqrt(88))*-2 + sqrt(88))/(sqrt(8)*2*-5). -2*sqrt(11)/5 + 2156 Simplify (2 + 3*sqrt(500)*-1*4 + -6*(sqrt(500) + -2 + sqrt(500)*-2 - sqrt(500)))**2 + 3. 199 Simplify (-5 + (6*(sqrt(57) + (sqrt(57) - sqrt(114)/sqrt(2))) + (2*sqrt(57) - sqrt(57))*4)/((sqrt(6) - (sqrt(48)/(1*sqrt(8)) - sqrt(6)))/sqrt(2)))*-3. -30*sqrt(19) + 15 Simplify 3 + 0 + sqrt(32) + ((sqrt(168)/sqrt(48))/(2*sqrt(1008)))**2 + 2. 5761/1152 + 4*sqrt(2) Simplify -1 + (sqrt(44) - (sqrt(2156) - sqrt(2156)*-2) - (sqrt(44) - -6*sqrt(176) - sqrt(44)))/((sqrt(4) + (sqrt(100)*1 - sqrt(100)))*4)*-3. -1 + 24*sqrt(11) Simplify (-4*(-2 + sqrt(13) - sqrt(13)) + -5 + -6*-4*sqrt(52))**2 + -1. 288*sqrt(13) + 29960 Simplify -2*(1 + -6*((0 + -1 + sqrt(539))**2 + sqrt(99)/((sqrt(9) - sqrt(99)/sqrt(176)) + sqrt(9)))). -1128*sqrt(11)/7 + 6478 Simplify 5*(sqrt(156)/(sqrt(12)/(-2*sqrt(4))))/(sqrt(100) + -2*1*sqrt(100))*-5. -10*sqrt(13) Simplify -5 + (sqrt(684) - (sqrt(684) + 3))**2 + 5 + sqrt(228)/(sqrt(96)/sqrt(8)) + -6*(sqrt(19) + sqrt(19) + sqrt(57)/sqrt(3) + sqrt(19)). -23*sqrt(19) + 9 Simplify (-1*1*sqrt(66))/(sqrt(486)
{ "pile_set_name": "DM Mathematics" }
e z(q). Let o = 1 - w. Solve o = 5*p + 12 + 8 for p. -4 Suppose -9*s = -2*s - 35. Solve -15 = -5*x - s for x. 2 Let o(s) be the third derivative of s**5/60 + 5*s**4/24 - s**3/3 + 4*s**2. Let t be o(-6). Solve 3*m - m = -t for m. -2 Suppose 20 = -4*i - 5*a, 0 = -3*i + 2*a - 0*a + 8. Solve -5*u + i*u = 25 for u. -5 Let x be (-1 + 2)/1*2. Let s be (6/(-5))/(x/(-5)). Suppose s*v = v + 8. Solve v*z = -z for z. 0 Let b = 6 - 6. Suppose b*z = 5*z - 15. Solve z*v = -2*v + 15 for v. 3 Let i(b) = b**3 - 4*b**2 + 4*b. Let v be (6*(0 + 1))/2. Let l be i(v). Let x = 5 + 0. Solve -l*o + x*o = 0 for o. 0 Let a be (-180)/(-20) - 1*4. Solve a*f + 1 = -4 for f. -1 Suppose y = -2*i + 15 - 2, -2*y + 2 = -4*i. Solve -y + 3 = -r for r. 4 Suppose -3*u - 2*u = 25. Let x(k) = -4 - 4*k + 7*k + k + k**2. Let i be x(u). Solve 0 = 3*n - 2*n - i for n. 1 Let v(n) = n**3 + 3*n**2 + 2*n - 2. Let p be v(-2). Let g = 9 + p. Suppose -3*y - 36 = -g*y. Solve 6 = 3*q - y for q. 5 Let h(a) = a**3 - 7*a**2 + 5*a - 15. Let i be h(7). Solve 6*f + i = f for f. -4 Suppose -g + 72 = 2*g. Suppose -v = -4*q + v + g, v = -3*q + 13. Solve -2*z - 3 + q = 0 for z. 1 Suppose 4*t + q + 12 = -8, -2*q + 8 = -4*t. Let o = 8 + t. Solve o*k = -k for k. 0 Let n(j) = 1 - 14*j + 14*j + 3*j**2 - j**3. Let y be n(2). Solve -r - 4*r + y = 0 for r. 1 Let r be (-8)/3*39/(-52). Solve f + r*f - 3 = 0 for f. 1 Let v be (-5 - -8)*(-5)/(-3). Solve 15 = -v*l + 40 for l. 5 Suppose 19 = 4*j - 5. Let t = 1 - 7. Let p = j + t. Solve g - 3*g - 6 = p for g. -3 Suppose -x + 61 = 13. Let c be -3 - 18/(9/(-3)). Suppose t - x = -c*t. Solve -5*v + 32 = t for v. 4 Let w(s) = 2 + 8*s + 3*s**2 + 3*s**2 - 5*s**2. Let i be w(-8). Suppose 3*f = i*f. Solve h + f = 2 for h. 2 Let b = 140 + -137. Solve -2*i - 1 = -b for i. 1 Let c be (-1)/3 - 88/(-12). Let n = c + -5. Solve n*d = d - 2 for d. -2 Let i(g) = 2*g - 3. Let t be i(6). Let v(p) = 2*p - 13. Let f be v(12). Solve -f = 4*d + t for d. -5 Let h(u) = 3*u**2 + 4*u + 4. Let d be h(-2). Let k(l) = l + 3. Let v be k(0). Suppose 8 = v*w + 2*j, 0 = -2*w + 3*j - 4 - d. Solve -4*c = -w*c for c. 0 Let n(u) = -u. Let y be n(-3). Let k = 6 - y. Let i(t) = -t**3 - 8*t**2 + 10*t + 9. Let g be i(-9). Solve k*x + 0*x - 3 = g for x. 1 Let j be (-350)/(-21) + 4/(-6). Suppose 39 + 9 = 3*p - 4*f, -5*f = -p + j. Solve 0 = 4*w - 0 + p for w. -4 Suppose 6*i = 2*i + 8. Suppose o = -i*o. Solve o*t + 4 = -t for t. -4 Let b(z) = -z + 7. Let h(m) = m**2 + 1. Let a be h(-2). Let g be b(a). Solve g*c + 2 = c for c. -2 Suppose -9 = 3*b, -4*f = 2*b - 12 - 18. Let x(w) = w**2 + 3*w + 6. Let t be x(-4). Solve 0 = f*h - 4*h + t for h. -2 Suppose 0*s + 2*s = 0. Solve s*v + 1 = v for v. 1 Let s = 20 - 18. Solve 0 = 3*y + 8 - s for y. -2 Let k = 25 + -15. Solve 2*r = -3*r + k for r. 2 Suppose 4*g = -8*g + 36. Solve 4 = -g*q + 1 for q. -1 Suppose y + 12 = 5*p + 3*y, -4 = -4*y. Suppose -5*s + p*s = 54. Let z = -8 - s. Solve g = -4*g - z for g. -2 Let g = -93 - -100. Solve g = -4*b - 1 for b. -2 Let v = 40 - 38. Solve 2*r = r - v for r. -2 Let k(v) = v**3 + v**2. Let b = -2 + 5. Let z be 1*2*b/6. Let y be k(z). Solve y*o + 15 = 7*o for o. 3 Let y(l) = l**3 + 6*l**2 - 2*l - 9. Let i be (1 - 2)/(1/6). Let g be y(i). Suppose g*d - 21 = 18. Solve 4*a + 3 = -d for a. -4 Suppose -b + 3*c = -4, 5*c = 4*c. Solve -b*t + 0*t = 0 for t. 0 Suppose 5*g = -0*g + 20, 4*g - 13 = -3*o. Let i be -2 + -5 + (-1)/o. Let h(c) = c + 6. Let r be h(i). Solve r = 5*s - s + 8 for s. -2 Suppose -h - 4 = -4. Solve h - 4 = 4*i for i. -1 Let y = -3 - -8. Suppose -2*m + 2*g + 26 = 0, -2*m - 2*g = -5 - y. Solve 2*w - m = 5*w for w. -3 Suppose 21*l = 13*l + 16. Solve -2*u - 4 = -l for u. -1 Let h be (-108)/(-18) + (-3 - 0). Solve -h*l = -6 - 0 for l. 2 Suppose 2*y = -4*q - 16, -3*y - 4 = -3*q + 5*q. Solve -y = -5*t + 3 for t. 1 Let z(n) = n - 5. Let i be z(9). Let p be (-2)/(-7) + (-27)/21. Let q = i + p. Solve 2*b - 1 = -q for b. -1 Let r(m) = -m + 10. Let p be r(0). Let y be ((-4)/p)/((-2)/(-120)). Let b be ((-20)/16)/(2/y). Solve -3*w = -8*w + b for w. 3 Let k(g) = -g. Let d be k(1). Let p(v) = v**2 + 9*v - 12. Let f be p(-10). Let o be (-2 + 2)/(d - f). Solve -s = -o - 5 for s. 5 Let a(p) = p**3 + 3*p**2 - 4*p. Let n be a(-3). Let s be (4/(-6))/((-3)/9). Let i = -2 + s. Solve 3*t + t - n = i for t. 3 Suppose -5*u + 3 = -2. Let y = -3 - u. Let r = 18 + y. Solve -5*i + r = -6 for i. 4 Suppose 5*o - 4*c = c + 15, -10 = -3*o + 4*c. Let m(f) = f - 1. Let n = 6 + -2. Let y be m(n). Solve -y*i - o = 13 for i. -5 Let w = -10 - -15. Suppose w*t - 17 = -2. Solve -t = h - 1 for h. -2 Let b be ((-2)/3)/(10/(-75)). Solve 10*l - b*l = 20 for l. 4 Let u be ((-6)/(-9))/(2/6). Solve 2*k = 3*k + u for k. -2 Suppose -3*h + 42 = -5*t - 13, h + 4*t = -10. Solve h = -2*b + 2 for b. -4 Suppose -3*f + 128 = -4*q + 2*f, -4*q + 2*f - 116 = 0. Let j be 12/(-54) - 6/q. Solve 5*n - 10 = -j*n for n. 2 Let v(w) = 0*w**2 - 2 + 2*w + w**2 + 0*w**2. Let u be (3*(-6)/27)/((-2)/(-9)). Let q be v(u). Solve g - q = -2 for g. -1 Let b(h) = -h**3 - 8*h**2 - 10*h - 7. Let t be b(-7). Suppose -w - 4 = -t. Solve 3*m + w = -5 for m. -5 Let i(d) = d**2 - 12*d - 13. Let t be i(13). Solve -2*b + b = t for b. 0 Suppose 0*b - 8 = -p - 2*b, -4*b + 16 = -p. Solve p = 2*v + 2*v for v. 0 Let n(b) = b**2 - 13*b - 45. Let j be n(16). Solve -1 = j*t - 4 for t. 1 Let g = -6 + 24. Let x be (-16)/12*g/(-4). Solve x = -4*o - 14 for o. -5 Let r be 22/12 - 2/(-12). Suppose -r*d - 11 - 9 = 0. Let h be (-5)/d - (-1)/2. Solve 0 = -3*v + h + 5 for v. 2 Suppose -2*q = -5*z - 7*q - 30, -4*z - 14 = -q. Let l = -15 - -13. Let s = l - z. Solve -4*u - s = 18 for u. -5 Suppose 0*n = 2*n - 6. Suppose m + 9 = 6*m - 2*w, -n*w + 18 = 3*m. Solve -m = 2*l + l for l. -1 Suppose -u + 3*u - 20 = -4*y, 3*u = -5*y + 26. Let b(v) = -v**3 + 3*v**2 + 4*v + 2. Let a be b(y). Solve -4*l = -a - 2 for l. 1 Suppose -12*t + 22 = -218. Solve o + 4*o = -t for o. -4 Let s(b) = b**3 + 7*b**2 + 4*b - 7. Let q be s(-6). Suppose 0 = 5*w - q*v - 25, -6*w + w + 2*v = -19. Solve -w*j + 6 = -6 for j. 4 Let m(h) = h**3 - h**2 - 3*h - 1. Let t(c) = -c**3 + c**2 + 4*c + 1. Let o(d) = 3*m(d) + 2*t(d). Let s be o(2). Solve -3*f + 4*f - s = 0 for f. 1 Suppose -4*q - 5*u + 17 = -3*q, 3*q = -u + 37. Solve -3*h - h = q for h. -3 Let i(p) = p - 13. Let d be i(15). Suppose -d*l - 9 = -2*f - 1, l = -2. Solve -g + f*g = 0 for g. 0 Suppose -2*q - 5 = 1. Let t be q/((18/(-4))/3). Suppose -27 = -3*z + 5*w, 4*z = t*w + 26 - 4. Solve 0 = -z*r + 3*r + 2 for r. 2 Let r = 2 - 2. Suppose 2*k - 2*q + 0 = -2, r = k - 5*q + 21. Solve k = 3*f - 4*f for f. -4 Let z be 28/9 - (-5)/(-45). Solve z*w + 2*w = 0 for w. 0 Let u(q) = q - 7. Let w be u(10). Suppose -5*j + 0*j = 0. Solve j = 5*t - w - 22 for t. 5 Let m = 29 + -12. Let q = m - 7. Solve -f - f = q for f. -5 Let f be (27/(-6))/(-9)*4. Solve 2*v - 12 = -f for v. 5 Let w be (-3 + 30/8)*4. Suppose 0 = -w*u + 5*u - 4. Suppose -h + 5*a = -19 - 11, 2*a + 4 = 0. Solve 3*v + h = -u*v for v. -4 Let u be (4/4)/((-2)/(-6)). Suppose -u*i + 4 = -5. Solve 0*x = i*x - 3 for x. 1 Let q be ((-2)/(-4))/((-1)/(-2)). Suppose 5*r - q = 4. Suppose 4 = -a, z + 0*z + a = 2. Solve 5*h = z*h - r for h. 1 Suppose 0*b - 10 = 4*p + 2*b, -3*p - 2*b - 10 = 0. Suppose 8*u - 3*u - 30 = p. Solve u*y = 3*y - 12 for y. -4 Let r(p) = -p**2 - 4*p + 3. Suppose -v + 4*y = -8, v - 3*y - 2 = -y. Let a be r(v). Solve a*x + 16 = -x for x. -4 Suppose -4*w + 17 - 1 = -4*z, -2*z - 16 = -4*w. Solve -2*d - 3*d = z for d. 0 Let v be ((-18)/24 - 14/(-8)) + -1. Solve v = -5*n + n - 12 for n. -3 Let a = -13 + 18. Let m(z) = z + 7. Let c(s) = -5*s - 29. Let y(d) = -2*c(d) - 9*m(d). Let x be y(5). Solve -q + a*q - 12 = x for q. 3 Let u be 5/(-5)*-3*1. Solve 0 = -u*b - 2*b - 5 for b. -1 Suppose 10*a - 107 + 37 = 0. Solve -20 = 3*y - a*y for y. 5 Let b = 4 - 4. Suppose b*p - p - t = -4, 3*p - 5*t = 12. Suppose 0 = p*m - 4, -3*a + 7 = a - 5*m. Solve -a*y = -6 - 9 for y. 5 Suppose -3*x = -6 - 6. Let n(v) = 2*v**2 - 4*v + 4. Let a be n(x). Solve 0 = -5*u - 0*u - a for u. -4 Suppose u + 5*d = 0, -d - 3 = u + 1. Let y = u - -9. Solve -y*p = -9*p for p. 0 Suppose -7*o = -2 - 5. Solve -o = -3*k + 2 for k. 1 Let i = -3 + 5. Let o = i - -1. Solve -2 = -o*p + 1 for p. 1 Let n be (-5
{ "pile_set_name": "DM Mathematics" }
uate (-2)/3*435/58. -5 What is (-2 + 3)/(19/(-95))? -5 Evaluate ((-25)/(-250))/(((-18)/(-8))/9). 2/5 What is the value of (-12)/54 + (-32)/(-306)? -2/17 What is the value of -2*12*7/56? -3 Calculate 2 - ((-682)/(-330) - 2/3). 3/5 Calculate -7 - 6/(0 - 3). -5 4/36 - (-4)/288 1/8 Evaluate (-136)/72*3 - 4/(-6). -5 Evaluate (-130)/(-39)*(-12)/(-10). 4 Calculate -5*((-9)/7 + 16/56). 5 (-5)/(-2) - ((-21)/6 - -4) 2 Calculate (9/(-24))/(24/(-6) - -1). 1/8 ((-3)/(-1))/9 - 3/(-27) 4/9 What is (2/(-4))/((-18)/108)? 3 Calculate 1*(4/(-18))/(52/39). -1/6 What is 5/(-5) + 5 + -6? -2 Evaluate (-6)/(-9) + 4/(-6). 0 (-4)/20*(19 + -18) -1/5 What is (108/3888)/(13/8 - 2)? -2/27 Evaluate (-6)/((16/2)/(-4))*1. 3 What is (-4)/18 - 8294/(-14157)? 4/11 200/(-160) - 6/8 -2 5/10 - 143/(-22) 7 What is the value of ((-15)/(-20))/(-7 - -4)? -1/4 Calculate 140/(-34) - (-8 + (-1206)/(-153)). -4 69*1/15 + -1 + -4 -2/5 What is the value of 0 - (-7 - (-4 - 10/5))? 1 What is (2 + -4)/(((-10)/(-3))/1)? -3/5 Evaluate 1/(-23) + 98/138. 2/3 Evaluate (-48)/(-56) - (-72)/14. 6 Evaluate (-10 + 9)*(-1)/(-1). -1 Calculate -12 - ((-1106)/(-91))/(-1). 2/13 What is the value of 5 + -1 - 2 - 2? 0 What is the value of 30/20 + (-154)/(-28)? 7 What is 4/(-10) - (-396)/165? 2 What is (-42)/(-7) - 10 - (-6 + 1)? 1 (2/(-42))/(6/54) -3/7 Calculate (-220)/(-60) + 8/6. 5 What is ((-3)/9 + 1)*38/(-76)? -1/3 Evaluate 0*(5/(-3) + (-28)/(-42)). 0 Calculate (-42)/(-12) + (0 - 5). -3/2 Calculate 2/(-1*2/(-4)). 4 Evaluate (-6)/7 - (-26)/(-182). -1 What is the value of (-6)/75*5*1? -2/5 -1 - ((-6)/(-10) - 1) -3/5 (189/98)/9*4 6/7 What is the value of 1*4*4/56? 2/7 Evaluate (1/3 - 0)/((-434)/(-10416)). 8 Calculate (124/372)/((-7)/9). -3/7 Calculate (-11 - -8)*(0 - 1). 3 What is the value of (2/(-5))/(642/535)? -1/3 Evaluate 3/2 + (16 - 19). -3/2 6 - (5 - (2 - (3 + -6))) 6 (-27)/(-36) - 1/(-4) 1 Calculate (-2)/(-2)*(-2 - (-40)/8). 3 Calculate ((-14)/63)/((7/(-6))/(-7)). -4/3 Calculate (-1 - 2)*(-4)/12. 1 (2/(-3))/(1/(-3)) - 2 0 What is 10/(-4) + 2 - (-22)/132? -1/3 Evaluate (-116)/(-24) - (11 - 6). -1/6 16/42 + 2/7 2/3 Evaluate (-36)/(-48) + (2/8 - 1). 0 (-5)/(-6) - (-903)/126 8 (1 - -4)*(-1782)/810 -11 3*-4*(-5)/180*5 5/3 Calculate 1*2*8*5/240. 1/3 8/(-80)*-5*(-4)/(-8) 1/4 Evaluate (3/9)/((-70)/(-42)). 1/5 Calculate (8/6)/((-16)/(-12) - 1). 4 Evaluate 11/11 + (-7)/9. 2/9 Calculate -6*(6/18 - (-10)/(-18)). 4/3 What is the value of ((-42)/(-28) + -2)/((-14)/(-4))? -1/7 Calculate 29/(-28) - 15/(-40)*2. -2/7 (-3)/(-4) - (2 - 27/12) 1 What is the value of (0*6/18)/(-2)? 0 What is -2 + 5 + (-320)/40? -5 Evaluate 171/(-304)*(10/(-6) - -1). 3/8 Calculate ((-101)/(-505))/(1/(-10)). -2 (-28)/2 + (84 - 78) -8 What is the value of 24/60 - ((-3)/5 - -1)? 0 What is the value of ((-2)/(-4) + -1)/1? -1/2 Calculate ((-50)/(-20))/((-1)/(-2)). 5 ((-465)/48 + 10)*1/(-5) -1/16 (18/(-3))/6 + -1 -2 Calculate (-42)/(-63)*9/(-48)*2. -1/4 What is the value of 9 + -9 + 8/36? 2/9 Evaluate (18/(-6))/(6/(-2)). 1 What is (22/110)/(-2*(4 + -5))? 1/10 Evaluate 5/5 + (6 - (27 + -10)). -10 Evaluate (201/670)/(12/10). 1/4 (2 - (-60)/(-33))/(-2) -1/11 What is the value of (1 - 7/15)/((-24)/(-36))? 4/5 1/2*(-13 + 19 + -18) -6 15/12*(-6)/5*2 -3 What is the value of (-264)/(-32) - (-18)/(-2)? -3/4 What is (-8)/48*(-36)/(-12)? -1/2 -7 - (-20)/((-1260)/(-459)) 2/7 Evaluate (4/9)/((-4)/(-18)) + -8. -6 Calculate 1 + (-156)/(-27) - 7. -2/9 (((-1)/1)/(-3))/((-3)/45) -5 What is the value of (-3)/(-9) + -6*4/18? -1 Evaluate 11 + (-978)/66 - (-2)/(-11). -4 What is the value of (-2)/(-10*(-4)/20)? -1 What is the value of (-16)/60 + (-3)/(45/6)? -2/3 Calculate (75/60)/(3/(-6)). -5/2 What is -2 - (9 + 0/(-8))? -11 What is the value of 5 + 36/(-81) + (-2014)/450? 2/25 What is the value of 7 + 16/(-2)*1? -1 What is (-26)/(-52)*(0 + 0)? 0 Calculate (-20)/(-12)*(-9)/45. -1/3 (-4)/20 - 0 - (-42)/10 4 3/((-204)/25) - 7/(-28) -2/17 Calculate (20/5 + -4)/2. 0 Calculate 4/12 - (44/6 - 2). -5 What is (10/14)/((-60)/(-24))? 2/7 108/(-27)*1/36*2 -2/9 Evaluate (0 - -9) + (-7 - (-35)/7). 7 Evaluate 4/(-2)*-4*13/104. 1 What is the value of 2/(-17) - 166/34? -5 What is the value of (5 - 1) + 4386/(-1290)? 3/5 (3 - 11/2)*4/5 -2 ((-4)/(-8))/(9/36) 2 Evaluate ((-6)/8)/((-84)/48). 3/7 Evaluate ((-10)/(-4))/((-100)/(-120)). 3 Calculate (-10)/4*(3 + -1). -5 What is (-3 + 2)/(4/40*5)? -2 Evaluate 8/(-7 + -1) - (-9)/6. 1/2 ((-65)/30)/(-13)*3 1/2 Evaluate (-1)/((-52)/(-96) + 6/(-16)). -6 What is ((-12)/(-45))/((-6)/9)? -2/5 (33 - 34)*2/6 -1/3 What is the value of (-1)/(20/5)*(-4)/(-3)? -1/3 What is (-6)/(-81) + 83/(-27)? -3 What is (6 - (-1096)/(-180))*(-3)/2? 2/15 Calculate (35/40 + -1)/(7/14). -1/4 Calculate 396/(-570) + 2/(-19). -4/5 What is (-92)/(-28) + 28/(-98)? 3 What is 14/21*(-9)/(-18)? 1/3 (-1)/(-6) - ((-194)/(-12) - 8) -8 Calculate 6/(-12)*(3 - (-2 - -1)). -2 What is (-40)/(-180) - 87/27? -3 What is the value of (9 - 7)*(-1 - 0)? -2 (-25)/50 - 26/(-20) 4/5 What is 8/(-2)*(-4)/4? 4 What is 7/(-29)*(-20)/(-70)? -2/29 Calculate (-2091)/(-918) - 10/4. -2/9 Evaluate 9 + (-4 - (-4 + 2))*3. 3 2752/(-352) - 4/22 -8 Evaluate (-51)/(-15) - 57/19. 2/5 What is the value of (44/(-154))/(48/21 - 1)? -2/9 Calculate (114/380)/(6/(-16)). -4/5 (1 - 7 - -8) + 2 4 What is 30/(-675) - 6/15? -4/9 Evaluate 8*1*50/(-900). -4/9 What is the value of (-5)/((-375)/40) + 4/(-20)? 1/3 Evaluate (48/(-168))/((-2)/(-7) + -1). 2/5 Evaluate -10 - -2 - (7 - 255/20). -9/4 Evaluate 1547/(-598) - (-8)/92. -5/2 Calculate 1/(28/16)*(-35)/10. -2 Calculate (-1935)/270 - 5/6. -8 Evaluate 42/(-441) - (-130)/42. 3 Evaluate 2/4 + 77/14. 6 What is the value of 91/(-63)*3 + (-8)/(-6)? -3 What is 90/945*(-21)/45? -2/45 ((-10)/((-500)/15))/(6/(-5)) -1/4 What is the value of (-52)/(-18) - (445/45 - 10)? 3 4*6/(-216)*-1 1/9 Evaluate (-2 + 2)*23/46. 0 What is the value of (-4 - (-104)/30)/((-4)/6)? 4/5 What is (-1736)/(-248) + (-85)/12? -1/12 (-8)/(-24)*15/(-9)*-3 5/3 ((-8)/132)/((-5)/(-15)) -2/11 Calculate 112/56 + 1 + 2 - 5. 0 Evaluate 0 - (1 - -3) - -3. -1 Calculate -7 - ((-273)/189)/(1/6). 5/3 Calculate 135/432*(-3)/6*-8. 5/4 (2/5)/((-176)/(-660)) 3/2 Calculate (1 + (-7)/2)*(64 - 66). 5 12/(-4) + 6 - 56/24 2/3 Calculate 12/10*(-20)/6. -4 What is the value of (-56)/90 + (48/20 - 2)? -2/9 4/2 + 1 + (-111)/39 2/13 What is 58/(-15) - (1 + 39/(-45))? -4 Evaluate ((3/(-4))/3)/(79/632). -2 What is 2/(-6) - (-3)/18? -1/6 What is (0 + -1)/(((-3)/(-1))/9)? -3 What is (-2)/3*(-54)/198? 2/11 80/(-14) - (-6)/(-21) - -3 -3 ((-6)/(-11))/(8/22) 3/2 What is ((-104)/455)/((-8)/20)? 4/7 Calculate ((2 - 1) + 1)*2. 4 What is (-18)/(-153) - (576/68)/4? -2 Evaluate (147/42 - (2 + 0))/4. 3/8 (-39)/78 + 1/(-2) -1 Calculate (-39)/(-30) + 9/(-30). 1 (2/15)/(0 + 8/12) 1/5 What is 25/(-23) - -1 - 2128/(-4370)? 2/5 What is the value of ((-5)/(-2) - 12/6)*0? 0 Calculate 19/44 - 1*10/55. 1/4 What is 0 + 1 + (1 - 2)? 0 What is ((-12733)/105)/(-17) + -7? 2/15 What is 1/1 - (-2)/(3 - -1)? 3/2 What is the value of ((-1)/(-3))/((-4)/24 + 0)? -2 Evaluate 8/(-6)*(-57)/76. 1 Evaluate 11 + (18 - 11 - 9). 9 What is the value of 1/3*(8 + -8 - 0)? 0 (-11 - -11)*(2 + (-6)/4) 0 Evaluate (-8 - 100/(-15))*(-18)/(-4). -6 Calculate (-381)/204 - (-1)/(-4) - -2. -2/17 Evaluate -9*(16/(-24) - -1). -3 What is 0 - ((-26)/(-6) - (-9 + 12))? -4/3 (-9)/18*(0 - (0 + 0)) 0 (2/(-6))/(188/48 + -4) 4 What is 1/(((-42)/(-8))/(-1) - -5)? -4 What is 5/(5/(-3))*(-2)/57? 2/19 Calculate -1*(-5 - (-4 - 6)). -5 What is the value of (-2 + 3 - 0) + 5 + -4? 2 What is the value of (-17)/(-102) - (-1)/(-2)? -1/3 What is the value of ((-6)/15)/(6/(-75)*-10)? -1/2 What is the value of 4/(-10)*35/28*0? 0 (3 + (-169)/65)/(-3) -2/15 132/(-240) + (0 + 1)/(-5) -3/4 What is 2 - ((-1)/(-3))/(10/(-90))? 5 Evaluate 1 + (-363)/51 + 24/204. -6 Evaluate 1*(-11)/((-66)/36). 6 What is (-222)/(-42) - 24/84? 5 Evaluate 22*(-5)/100 - -1. -1/10 Evaluate 9 + -1 - (20 + -14). 2 Evaluate (-1113)/(-161) - 2/(-23). 7 Calculate 26/2 - 14 - (-16)/14. 1/7 Calculate (-33)/55 + 144/40. 3 What is the value of 2/(-2 - -9 - -1)? 1/4 What is the value of (-24)/16*8/(-6) - 3? -1 Calculate ((-6)/(-7) + (-165)/315)*0. 0 Evaluate ((-3)/(-18))/((-160)/(-15) + -11). -1/2 Evaluate 52/(-39) - (8/6)/(-1). 0 Calculate (12/(-28))/((-2)
{ "pile_set_name": "DM Mathematics" }
32143? -132140 In base 14, what is -11c4 - -12? -11b2 In base 8, what is 5 - -117152? 117157 In base 5, what is 10401402 + -20? 10401332 In base 11, what is -186 + 53? -133 In base 5, what is 103112 + 4? 103121 In base 4, what is -10331110220 - 1? -10331110221 In base 11, what is 1662 + 1? 1663 In base 9, what is 10680 + -183? 10486 In base 11, what is -389 + -246? -624 In base 8, what is 3 - -640025? 640030 In base 11, what is -4 - 1418? -1421 In base 7, what is -54651 - 10? -54661 In base 11, what is -13978 - -31? -13947 In base 14, what is 5046 + 5? 504b In base 11, what is 50 + -333? -293 In base 15, what is -5 + -1ded5? -1deda In base 14, what is -42ad6 - -2? -42ad4 In base 9, what is 7 - 261278? -261271 In base 2, what is 101111101011 - 110? 101111100101 In base 6, what is -120 + -122441? -123001 In base 6, what is 4150524 - -3? 4150531 In base 2, what is 1110111110110 - -11101? 1111000010011 In base 15, what is 2da - 1667? -137c In base 15, what is 2 - -999be? 999c1 In base 4, what is 21010 + 3012? 30022 In base 8, what is 455457 + 1? 455460 In base 6, what is 14520233 - 2? 14520231 In base 9, what is -818 - -338? -470 In base 14, what is 3700b8 + -3? 3700b5 In base 2, what is -10011110 - -1000? -10010110 In base 15, what is e3 + -150? -5c In base 4, what is 2321013 - 1321? 2313032 In base 7, what is 2526331 - 1? 2526330 In base 9, what is -4 + -234018? -234023 In base 6, what is 414555 + 4? 415003 In base 4, what is 3133 + 21232? 31031 In base 10, what is 5 + 36142? 36147 In base 2, what is -1101101110 + -10001111000? -11111100110 In base 3, what is 1 + 20221022? 20221100 In base 15, what is 0 + 175ca8? 175ca8 In base 10, what is -11 - -2439? 2428 In base 5, what is 1 - 442013? -442012 In base 4, what is -12031 + -22312? -101003 In base 3, what is -10110022022 - -11? -10110022011 In base 6, what is 2 - 1453? -1451 In base 16, what is 19 - 925? -90c In base 8, what is -1143465 + 17? -1143446 In base 12, what is 1337 + 0? 1337 In base 15, what is 965 - ab? 8a9 In base 15, what is 1b - 2413? -23e7 In base 4, what is 203230 - 112? 203112 In base 15, what is 2d - 809? -7cb In base 8, what is 4 - -366420? 366424 In base 10, what is -6 - -19116? 19110 In base 10, what is 51 - -12608? 12659 In base 10, what is 18738 - 1? 18737 In base 9, what is -2268 - -32? -2236 In base 5, what is -121 - -411033? 410412 In base 9, what is -18 - 3140? -3158 In base 10, what is 210 + -212? -2 In base 13, what is 134c3b8 - -5? 134c3c0 In base 2, what is 1010001 - 100100101? -11010100 In base 4, what is 2 + -201020330? -201020322 In base 5, what is -334244 + -4? -334303 In base 6, what is 0 - 415444? -415444 In base 13, what is -101 - 3a32? -3b33 In base 10, what is 14732 + 0? 14732 In base 16, what is -e1ac + 3? -e1a9 In base 16, what is b912 - 17? b8fb In base 5, what is -3 - 21213? -21221 In base 8, what is 11 + -1605? -1574 In base 12, what is -1b6 - -92? -124 In base 10, what is 12394 + 1? 12395 In base 12, what is -461 + -4? -465 In base 11, what is -38598 - -15? -38583 In base 9, what is -532810 + -12? -532822 In base 10, what is -342 - -1142? 800 In base 10, what is 509 + 12? 521 In base 12, what is 3 + a0077? a007a In base 5, what is -1302112320 - 3? -1302112323 In base 3, what is -1212102 - 210211? -2200020 In base 11, what is -5 + 24638? 24633 In base 11, what is -4 - 11a7? -1200 In base 11, what is -1a31 - 1? -1a32 In base 10, what is -31573 + 3? -31570 In base 10, what is 60 + -801? -741 In base 6, what is 1001105 + 5? 1001114 In base 7, what is 4 - 13565? -13561 In base 2, what is -1111110001111 - 1110? -1111110011101 In base 14, what is -191c + 3? -1919 In base 15, what is a + 26b1? 26bb In base 3, what is 12 - 22120120? -22120101 In base 12, what is 131 + 165? 296 In base 10, what is -2 - 604816? -604818 In base 7, what is 3121 + -13? 3105 In base 4, what is -13123 - -130? -12333 In base 15, what is -3d1903 - 4? -3d1907 In base 4, what is -33 - 20331211? -20331310 In base 8, what is -1 + 3316077? 3316076 In base 8, what is -171 - 1230? -1421 In base 12, what is -207 - -a78? 871 In base 4, what is 10122 + -320? 3202 In base 14, what is -13aad + -7? -13ab6 In base 5, what is 100 + -2144213? -2144113 In base 7, what is 44166660 - 4? 44166653 In base 7, what is -4 + -442603? -442610 In base 7, what is 1610 + -44? 1533 In base 14, what is 2 - 3826? -3824 In base 13, what is -6a1 + c7? -5a7 In base 16, what is 11b2fb + 4? 11b2ff In base 4, what is -2112120 - 10? -2112130 In base 9, what is -7 + -4656? -4664 In base 15, what is 5 - -51e? 524 In base 8, what is -3014645 + 0? -3014645 In base 16, what is -2 + -5aba? -5abc In base 5, what is -431343111 + -4? -431343120 In base 10, what is -105 - -332? 227 In base 9, what is 10552 + 1075? 11637 In base 16, what is 29af + -4? 29ab In base 15, what is 9 - -3c531? 3c53a In base 10, what is 3 - 10343? -10340 In base 2, what is 1000100101101000 + -110110? 1000100100110010 In base 15, what is -1e91 + 6? -1e8a In base 6, what is 0 - -1110? 1110 In base 7, what is -4 + -3405? -3412 In base 6, what is 4 - -1333424? 1333432 In base 16, what is 3f6c1 - 1? 3f6c0 In base 10, what is 41392 - 138? 41254 In base 13, what is 13b5 - -18? 1400 In base 3, what is 2122112 - 2110? 2120002 In base 8, what is -1262160 + 0? -1262160 In base 6, what is -141 - -243232? 243051 In base 2, what is -100 + 100010010010101000? 100010010010100100 In base 4, what is 103333322 - -2? 103333330 In base 10, what is -4 + 56178? 56174 In base 6, what is 204330055 + 0? 204330055 In base 5, what is 1331 - -30213? 32044 In base 11, what is -3 - 14496? -14499 In base 8, what is -10 + -110253? -110263 In base 6, what is 5201 - -122? 5323 In base 2, what is -10010 - -110111110010110? 110111110000100 In base 12, what is -73a + -7? -745 In base 13, what is 4 - 2080? -2079 In base 8, what is 2135 + -62? 2053 In base 12, what is 3 - -109007? 10900a In base 14, what is 17287 + 3b? 172c4 In base 12, what is b3 - -1857? 194a In base 7, what is 1404 - -1023? 2430 In base 4, what is 3 - 1331011? -1331002 In base 6, what is -1235012 - 0? -1235012 In base 10, what is -2536 + -99? -2635 In base 7, what is 105545 - -2? 105550 In base 7, what is -3 + -5512034? -5512040 In base 13, what is -19053c + 2? -19053a In base 6, what is 5 - -33405? 33414 In base 12, what is 17 + 1625? 1640 In base 3, what is 2001111201 + 11? 2001111212 In base 11, what is a222 - 6? a217 In base 5, what is 3432 - -343? 4330 In base 15, what is 1145 - -67? 11ac In base 15, what is -6c - -1a3e? 19c2 In base 8, what is 3 + 114303? 114306 In base 14, what is -1ba + 220? 44 In base 2, what is 1 - -10000101001001011100? 10000101001001011101 In base 9, what is 872 + 2511? 3483 In base 10, what is 0 + -266854? -266854 In base 7, what is -433 - 4210? -4643 In base 3, what is -1201020002 + -201? -1201020210 In base 7, what is -20046 + 11? -20035 In base 3, what is -20211 + 21111? 200 In base 13, what is 30b - c8? 213 In base 13, what is -179462 + 0? -179462 In base 6, what is -12301 - -5? -12252 In base 13, what is 2 - 1979b? -19799 In base 16, what is a0b + -9c? 96f In base 16, what is 0 + 8aaf? 8aaf In base 2, what is 100 + -100101110101110101? -100101110101110001 In base 11, what is -2 + 79442? 79440 In base 6, what is 441152 + 31? 441223 In base 16, what is -41b - -33? -3e8 In base 12, what is 4 - 373a4? -373a0 In base 10, what is 2 + -1682317? -1682315 In base 3, what is 11 - -1212221100? 1212221111 In base 15, what is 0 + -8652? -8652 In base 3, what is 1220221012 - 10? 1220221002 In base 8, what is 4 + 224562? 224566 In base 9, what is -17 + -164610? -164627 In base 4, what is 112230211 - 13? 112230132 In base 5, what is 0 - 1412441? -1412441 In base 12, what is -1 + -19335b? -193360 In base 4, what is -21113331 + 110? -21113221 In base 9, what is 781 + -707? 73 In base 7, what is -3 + 261465? 261462 In base 15, what is -7 + -bd57? -bd5e In base 2, what is 101 + -10100011110000011? -10100011101111110 In base 3, what is -1122 - 111201? -120100 In base 5, what is 10 - -13432200? 13432210 In base 6, what is -121104 - 5? -121113 In base 9, what is -2440003 - -4? -2438888 In base 11, what is -5a + -4a16? -4a75 In base 9, what is 248 - 38? 210 In base 6, what is 2322322 - 52? 2322230 In base 5, wh
{ "pile_set_name": "DM Mathematics" }
r. 3 Solve 4*g - 24 = -4*o, 159*o = 5*g + 154*o - 10 for g. 4 Solve -i + 2 = -f, -4*f + 6 - 14 = 0 for i. 0 Solve 4*k + 16 = 3*s, 3*k - 2*s - 20 = 8*k for k. -4 Solve -7*u - 6 = -10*u, 3*u - 11 = -5*t for t. 1 Solve 5*o = 4*f + 7, 16*f = 11*f + o - 14 for f. -3 Solve 10*n = 9*n - 4*y + 13, 4*n - 4*y = 12 for n. 5 Solve 3*c = -3*n - 15, 0 = 2*n - 38*c + 35*c - 15 for n. 0 Solve -5*u = -5*p, 5*u = 2*p - 45 + 30 for u. -5 Solve -i + 2 - 4 = -x, -4*x + 1 = 3*i for i. -1 Solve -2*w + 3*y + 16 = 0, -3*y = 2*w - 729 + 737 for w. 2 Solve -t - 4*c - 19 = 0, 4*t + 24 = -4*c + c for t. -3 Solve 0*j = f - 2*j, -4*f = -3*j - 10 for f. 4 Solve w + 18 = 4*q, -3*w = q - 14 + 16 for w. -2 Solve -2*u + 13 = o + u, 4*u - 10 = -5*o for o. -2 Solve 0 = 4*a - 5*s - 12 - 20, 0 = 2*s + 8 for a. 3 Solve 2*c + r - 2*r = 0, -3*c = 3*r - 18 for c. 2 Solve 2*v + 1 = -3*l, -2*v - 10 = -4*l + v for l. 1 Solve -3 = -3*r - 3*m, -r + 5*m - 8*m - 7 = 0 for r. 5 Solve 4*v = -3*m, 90*v - 88*v = 5*m for v. 0 Solve -3*u = 5*i - 11, 3*i = 5*u - 27 + 20 for u. 2 Solve b + 3 = -2*b + 3*m, -5*m + 17 = -b for b. 3 Solve 11*v - 12 = 14*v, 0 = -o + 2*v + 11 for o. 3 Solve 24*q = 2*r + 28*q + 12, -3*r + 3*q = -9 for r. 0 Solve 53*j = q + 52*j + 7, 5*q + 19 = -3*j for q. -5 Solve -3*w + 2*s + 3*s = -25, 5*w + 3*s = 19 for w. 5 Solve 5*y - 3*w = -0*w + 29, -23 = -2*y + 5*w for y. 4 Solve 0 = -5*x + 25, 5*i - 2*i - 5*x + 37 = 0 for i. -4 Solve -67*i = -72*i - 3*h - 35, -3*i = 5*h + 37 for i. -4 Solve -4*d = -3*d + 4*r + 8, 10 = -2*d - 5*r for d. 0 Solve 4*f = -2*p - 4, 6 = -5*p + 2*p for f. 0 Solve -4*f - 16 = -4*i, -i - 14 = f - 4*i for f. 1 Solve 2*x + 2 = 2*y, 4*x - x = -y + 17 for x. 4 Solve -4*x = 4*a, 10*a = 5*x + 14*a + 5 for x. -5 Solve 72*c - 77*c + 15 = -3*o, 4*o + 12 = 4*c for c. 3 Solve 2*v = -2*p + 4*p + 20, -3*v - p = -10 for v. 5 Solve -4 = o + w, 4*o + 2*w = 3*o - 9 for o. 1 Solve -3*d - 18 = -d + 4*b, 3*b = 5*d - 20 for d. 1 Solve 3*a - 19 = -g, 4*g = 2*a + 5*g - 14 for a. 5 Solve 4*k - 4*m + 0*m = 24, 3*k + 4*m = -10 for k. 2 Solve -w = -3*u - 4*w + 3, 18 = 2*u - 2*w for u. 5 Solve -3*k - 33 = 4*y, 3*k = 25*y - 28*y - 30 for k. -7 Solve -d = 3*t - 13, 13 = -4*d - 4*t + 5*t for d. -2 Solve -3*y - 13 = 5*v, 0 = 5*y + 3*v + 7 + 4 for y. -1 Solve 4*b = 5*v + 37, -1 = 2*v + 2*b + b for v. -5 Solve 8*y = 3*q + 43, -5*y - 7*q + 10*q + 28 = 0 for y. 5 Solve 5*n - 40 = 95*d - 99*d, 3*d + 4*n - 31 = 0 for d. 5 Solve 2*r = 5*l + 21, -20*l + 25*l + 3 = -4*r for l. -3 Solve 5*f = 3*i - 17, i - 3*f - 13 = 2*i for i. -1 Solve 21 = 3*i + 2*h, -2*i + h - 2 + 9 = 0 for i. 5 Solve 11*u = -k + 10*u, -k + 5*u = -12 for k. 2 Solve -7 = -5*t + u, -3*t + 3*u = 9 - 18 for t. 1 Solve 2*l = 3*w - 3*l + 5, 0 = 2*w + 2*l - 18 for w. 5 Solve 11*o + 12 = 10*o + 5*p, -3*o - 16 = -5*p for o. -2 Solve p = 3*t + 11, 0 = 2*t - 0*t - 2*p + 10 for t. -3 Solve 5*f = 11*m - 14*m - 25, -2 = f for m. -5 Solve 5*u - 20 = 0, 4*k + u = 19 - 7 for k. 2 Solve -5*z + 5*v = 5, 5*z + 27 = 4*v + 26 for z. 3 Solve -3*u + 10 = -4*f, -3*u + 41 = f + 36 for u. 2 Solve -3*r = 2*z - 21, z + 19 = 4*z + 2*r for z. 3 Solve v + 3*k + 10 = 0, 3*k + 50 = -4*v + 28 for v. -4 Solve -8*r = 4*n - 5*r, 2*n + 14 = -5*r for n. 3 Solve -13*r - b = -14*r - 13, r = 2*b - 17 for r. -9 Solve 3 = 3*q + a - 1, -5*q = -3*a - 30 for q. 3 Solve 0 = -3*n - 15, 56 = -3*g - 3*n + 26 for g. -5 Solve 5*b = -3*h - 6, -19*b + 4*h = -21*b - 8 for b. 0 Solve -f + 4*r = -21, 0 = f - 0*f - 2*r - 11 for f. 1 Solve -2*p + 10 = -33*u + 31*u, u = 2*p - 6 for u. -4 Solve 0 = -4*f + 2*m + 10, 7*f + 5*m - 35 = 5*f for f. 5 Solve 43 = -4*o + 4*f + 79, -5*f - 5 = 3*o for o. 5 Solve 4*i + 14 = 2*b, 5*i = 3*b - 0*b - 17 for i. -4 Solve 8*y - 13*y - 2*h = 7, 4*h = y + 19 for y. -3 Solve 0 = -z + 4, -5*c - z + 44 = 55 for c. -3 Solve -3 = 4*p - 3*j - 2*j, 0 = 5*p - 2*j + 8 for p. -2 Solve -5*o + 2*r - 4 = -7*o, 6 = o + 2*r for o. -2 Solve 5*g - 10 = b, b = 2*b + 5 for g. 1 Solve -6*a + 10*a - 2*f + 12 = 0, 12 = -4*a - 5*f for a. -3 Solve 9*p = 13*p + 3*q - 6, -q = 4*p - 2 for p. 0 Solve 0 - 12 = -4*w - 2*u, -u - 10 = -2*w for w. 4 Solve 0*p + 2*p = -r + 9, -7 = 5*r - 3*p for r. 1 Solve -c + 9 = -4*f + 3*f, -f + 2*c - 13 = 0 for f. -5 Solve c - 2 = -1, 4*a - 13 = -5*c for a. 2 Solve 3*n = 3*c - 15, 12*c + 8 = -4*n + 10*c for n. -3 Solve 0 = n - 9*r + 4*r + 8, -6 = -2*n - r for n. 2 Solve -14*u + 14 = -16*u - 2*x, 4*u = 4*x + 4 for u. -3 Solve 10*b - 10 = 5*c + 5*b, -10 = 3*c - 5*b for c. 0 Solve -77*f + 79*f + 5*h = 12, 5*f + h - 30 = 0 for f. 6 Solve -4*l = -4*o - 8, -8*l + 4 = -4*l - 2*o for l. 0 Solve h = -5*z - 7, -105*h + 106*h = -2*z - 4 for h. -2 Solve -2*m - m + 2*o - 5 = 0, 3*o + 5 = 2*m for m. -5 Solve 1 = -d - x, -2*x + 9 = d + 15 for d. 4 Solve 4*f - 3 = -a + 9*f, 5*f - 3 = -a for a. 3 Solve 2*s = -2*k, -5*s + 2 = 7*k - 3*k for k. -2 Solve 4*h - 22 + 4 = 5*v, 3*v + 14 = 4*h for h. 2 Solve 117*b - 10 = 112*b, -5*g + 10 = 5*b for g. 0 Solve -4*d + 11 = 5*t, 15*t = 5*d + 14*t + 8 for d. -1 Solve -5*k - 2*p - 7 = 0, k - 6*k = -5*p for k. -1 Solve -2*n - 7 = -w, 0 = 5*n - 12 + 22 for w. 3 Solve 0 = -2*n + 2*g + 4 + 2, -n + 3*g = -13 for n. -2 Solve -15 = 7*y - 2*g, 0 = 3*y - 18*g + 17*g + 7 for y. -1 Solve -4*z + 4*u - 16 = 0, -3*z + u - 7 = -z for z. -3 Solve -4*l + 38 = 2*m + 22, 0 = 4*l + 4*m - 20 for l. 3 Solve -2*z = -4*d + 4, 4*d = 12*z - 7*z + 10 for d. 0 Solve 0 = -2*n - 5*v - 4, 2*n + v - 3 = 1 for n. 3 Solve 2*o = x - 10, -30 = -2*x - 3*x + 5*o for x. 2 Solve 3*t - 11 = i, 2*i + 3*t - 5 = -0*i for i. -2 Solve o = -3, 6*i - 2*i + 17 = o for i. -5 Solve 0 = -4*a + 20, 2*l + 7 = a - 12 for l. -7 Solve 6*i + 21 = 3*i - 3*v, -v - 13 = 3*i for i. -3 Solve 5*n - 2*w - 12 = 7*n, n - 10 = 3*w for n. -2 Solve -3*x + 3*s + 18 = 0, 5*s - 37 = -67 for x. 0 Solve 5*f + 19 = 3*o, -5*o + 3*f - 5*f - 20 = 0 for o. -2 Solve 11*p - 8 = 9*p + 2*y, -y - 4 = -2*p for p. 0 Solve -3*n = 3*a, -11*n - 9 = 4*a - 10*n for a. -3 Solve -2*q + 2 = 2*l, -2*l = 4*q - 74 + 70 for l. 0 Solve -4*v + 25 = 5*x, -3*x + 0*x + 8 = v for v. 5 Solve -3*n = q + 3 + 12, q + 20 = -4*n for n. -5 Solve -2*z + 5 = -b, 11*z = 6*z + b + 20 for z. 5 Solve -2*x + 4*p + 1 = p, -2*x = 4*p + 20 for x. -4 Solve -5*y + r = -10*y + 7, 2*r + 6 = 0 for y. 2 Solve 4*f - 4*o + 2 + 14 = 0, -f + 5*o = 24 for f. 1 Solve 3*a + h + 1 = 7, 5*a = -5*h + 20 for a. 1 Solve -4*l - 4 = -4*j, -775*l = j - 771*l + 9 for j. -1 Solve -198*f + 203*f - 2 = -3*c, 2 = -2*c - 5*f for c. 4 Solve 0 = -3*f + 5*y + 25, 4*f + 43 = -4*y + 55 for f. 5 Solve -4*a - 48 = 4*m, 6 - 10 = -a + m for a. -4 Solve 4*g = 5*x - 5, g + 10*x - 6*x - 25 = 0 for g. 5 Solve 8 = 2*z, 4*d + 18 = -z + 6 for d. -4 Solve -3*u = l - 118 + 138, 3*l + u = -20 for l. -5 Solve 7*n = 5*i + 2*n + 5, -n + 9 = -5*i for i. -2 Solve 2*f + 4*p - 12 = 0, 2*f + 4*p - 8 = -2*f for f. -2 Solve -2*h = 3*l - 5, -4*l + 4*h + 17 + 3 = 0 for l. 3 Solve -4*m + m - 2*c - 5 = 0, 4*m = 4*c for m. -1 Solve q - 4*w = w + 18, 0 = -q + 2*w + 6 for q. -2 Solve 5*r - 14 = 4*s, -3*s - 1 = -15*r + 16*r for r. 2 Solve 8*b - 4*f = -8, 2*b = -2*b - 3*f - 14 for b. -2 Solve -8 + 4 = 5*z + 4*x, 8 = 2*z + 4*x for z. -4 Solve 6*k = 9*k - l + 4, k + 4*l = -10 for k. -2 Solve 5*n + x = -4*x - 15, -x = -5*n - 27 for n. -5 Solve 2*c - 2*s + 12 = 0, 0 = -c - 2*s + 4*s - 8 for c. -4 Solve 3*u - 15*y - 3 = -12*y, 37 = -5*u - 2*y for u. -5 Solve 4*y = -2*b - 12, -b - y - 8 = -6 for b. 2 Solve 2*b + 6 = 0, -4*v = -v - 5*b - 27 for v. 4 Solve 2*s - 14 = -4*u, 14*s - 13*s - 3 = -u for u. 4 Solve 3*b - 3*n = 9, 5*n + 7 = 4*b - 3 for b. 5 Solve -5 = -5*r + y - 29, 3*y - 8 = -r for r. -4 Solve 2*q - 4*g = -3*g - 7, -g = -4*q - 9 for q. -1 Solve -p = 4*p + 5*m + 15, 1 = -p + m for p. -2 Solve 0 = 4*r + 3*a - 19 + 6, 4*r - 14 = -2*a for r. 4 Solve 2*v - 4 = -a, -3*v - 10 + 26 = 4*a for a. 4 Solve t = -4*d - 3, 4*d + 4*t + 4 = 16 for d. -2 Solve s - 79 = -80, 0 = 2*l - 3*s + 7 for l. -5 Solve -3*k + 2*g = 5, -g - 8 + 18 = -4*k for k. -3 Solve 5*h + 0 - 5 = -5*s, 3*h = 0 for s. 1 Solve -k - 4*u = 13, 0 = 2*k + u + 4 - 6 for k. 3 Solve -p + 3*x - 14 = -3*p, -3*p + 6 = -3*x for p. 4 Solve -8*n - 11 = -12*n - 5*l, -3*l = -9 for n. -1 Solve 42*g - 47*g = -s - 5, 0 = -2*s - 2*g + 2 for s. 0 Solve 2*d - o = 12, 5*o + 20 = 3*d
{ "pile_set_name": "DM Mathematics" }
ob of picking 1 g and 1 h when two letters picked without replacement from {h: 8, e: 4, l: 4, g: 2, k: 1}? 16/171 Three letters picked without replacement from {k: 7, l: 3, c: 1, r: 2, v: 2, q: 3}. What is prob of picking 1 r, 1 l, and 1 c? 1/136 Two letters picked without replacement from {w: 4, d: 1, u: 1, s: 2}. What is prob of picking 1 d and 1 u? 1/28 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from yeyqyeeyyqyyyqqy. 9/40 Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, k: 4}. 21/55 Three letters picked without replacement from csgswww. What is prob of picking 2 s and 1 g? 1/35 Two letters picked without replacement from wqbbibbbqbqi. Give prob of picking 1 w and 1 q. 1/22 Four letters picked without replacement from {u: 1, j: 4, b: 5, e: 5}. What is prob of picking 2 e and 2 b? 20/273 Calculate prob of picking 4 i when four letters picked without replacement from umicccimiiclcu. 1/1001 Two letters picked without replacement from {q: 3, e: 12}. Give prob of picking 2 e. 22/35 What is prob of picking 1 a, 1 l, and 2 i when four letters picked without replacement from liliilailala? 2/11 Calculate prob of picking 2 z and 1 g when three letters picked without replacement from pzgzzzpg. 3/14 Three letters picked without replacement from svnmnnmssnzsznnnns. What is prob of picking 1 m, 1 v, and 1 s? 5/408 Three letters picked without replacement from {x: 8, o: 4, u: 2}. What is prob of picking 3 o? 1/91 Calculate prob of picking 3 y when three letters picked without replacement from {y: 4}. 1 Three letters picked without replacement from ydyyytyydyyyw. What is prob of picking 1 y, 1 t, and 1 d? 9/143 What is prob of picking 2 a and 1 p when three letters picked without replacement from {h: 6, m: 4, p: 3, a: 2}? 3/455 Two letters picked without replacement from {b: 7, p: 2, z: 5}. What is prob of picking 1 b and 1 z? 5/13 Three letters picked without replacement from zvzvdhmhhmmvvvvdzv. What is prob of picking 2 h and 1 d? 1/136 Three letters picked without replacement from {a: 7, l: 2, b: 4, x: 3, z: 1, n: 1}. What is prob of picking 1 z, 1 a, and 1 b? 7/204 What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 2, l: 6}? 3/7 Four letters picked without replacement from {z: 12, m: 3, x: 3}. What is prob of picking 2 x and 2 z? 11/170 Two letters picked without replacement from {h: 2, x: 4}. What is prob of picking 1 h and 1 x? 8/15 Four letters picked without replacement from puuputpsutttt. Give prob of picking 1 p, 2 u, and 1 s. 18/715 What is prob of picking 3 p and 1 d when four letters picked without replacement from dddddpdddpddddpd? 1/140 What is prob of picking 2 s when two letters picked without replacement from {w: 2, s: 9}? 36/55 Four letters picked without replacement from kggkuuugggguuguu. What is prob of picking 2 u, 1 k, and 1 g? 21/130 Calculate prob of picking 1 o and 2 b when three letters picked without replacement from ycokbyyykqcbyyy. 1/455 Three letters picked without replacement from {u: 1, x: 2, r: 1}. What is prob of picking 2 x and 1 u? 1/4 Three letters picked without replacement from bebbllllblbmblblmebz. Give prob of picking 1 m and 2 l. 7/190 Three letters picked without replacement from rgwwnwgngwwgqwwgw. What is prob of picking 1 n and 2 g? 1/34 Calculate prob of picking 3 e and 1 h when four letters picked without replacement from hnhngeh. 0 Three letters picked without replacement from mnbbnmnnrnrnnmrn. Give prob of picking 2 m and 1 r. 9/560 Two letters picked without replacement from jqqjvvfafqfsss. Give prob of picking 2 v. 1/91 Three letters picked without replacement from {u: 6, g: 12}. Give prob of picking 3 g. 55/204 Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rrs. 2/3 Four letters picked without replacement from xtrttyqrt. Give prob of picking 1 r, 1 q, 1 x, and 1 y. 1/63 Calculate prob of picking 1 s, 1 t, and 2 w when four letters picked without replacement from {s: 2, t: 2, j: 2, w: 3}. 2/21 Calculate prob of picking 3 w when three letters picked without replacement from {j: 10, k: 2, w: 3, c: 5}. 1/1140 Four letters picked without replacement from {h: 13, b: 6}. What is prob of picking 2 h and 2 b? 195/646 Calculate prob of picking 1 o, 2 c, and 1 y when four letters picked without replacement from osfncsffncnfyo. 2/1001 Calculate prob of picking 1 a and 2 c when three letters picked without replacement from {a: 1, x: 2, c: 12, l: 4}. 22/323 What is prob of picking 4 s when four letters picked without replacement from {s: 11, z: 3}? 30/91 What is prob of picking 1 q, 1 v, and 2 n when four letters picked without replacement from {u: 1, n: 1, q: 1, d: 1, v: 5}? 0 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from fkkfkwwkfkwfkkfw. 7/24 Two letters picked without replacement from {q: 3, i: 11}. Give prob of picking 2 i. 55/91 Two letters picked without replacement from wzgwwgzwzgg. What is prob of picking 1 w and 1 g? 16/55 Four letters picked without replacement from {b: 7, a: 2, x: 2, j: 2, w: 4}. Give prob of picking 3 w and 1 j. 2/595 Calculate prob of picking 2 l, 1 j, and 1 f when four letters picked without replacement from {f: 5, j: 5, d: 3, u: 1, l: 2}. 5/364 Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {g: 1, f: 2, j: 1, p: 7, t: 3, a: 3}. 21/680 Calculate prob of picking 1 p, 1 o, and 2 g when four letters picked without replacement from {g: 6, h: 2, o: 1, l: 3, r: 1, p: 2}. 2/91 What is prob of picking 2 g when two letters picked without replacement from gssgsg? 1/5 Three letters picked without replacement from {l: 5, b: 5, o: 3}. Give prob of picking 1 b and 2 o. 15/286 What is prob of picking 2 f and 1 n when three letters picked without replacement from {z: 4, u: 5, f: 2, j: 1, n: 3, s: 5}? 1/380 Calculate prob of picking 3 v when three letters picked without replacement from uooovovuouoovoovuuou. 1/285 Three letters picked without replacement from grgggrrgrg. Give prob of picking 3 r. 1/30 Two letters picked without replacement from {w: 4, p: 16}. Give prob of picking 2 p. 12/19 What is prob of picking 3 l and 1 o when four letters picked without replacement from {o: 6, f: 4, l: 5}? 4/91 Four letters picked without replacement from {c: 5, y: 5, l: 4, j: 1, o: 1}. What is prob of picking 2 l and 2 y? 3/91 Calculate prob of picking 1 t and 2 d when three letters picked without replacement from tggoozdtttdtzotg. 3/280 Calculate prob of picking 1 f, 1 g, and 1 z when three letters picked without replacement from lbifblbzlzlibgb. 2/455 Calculate prob of picking 2 f when two letters picked without replacement from ffrffffrffrrrfff. 11/24 Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {x: 2, c: 2, t: 4, p: 7, g: 3}. 2/51 Calculate prob of picking 2 e when two letters picked without replacement from rreeepprerf. 6/55 Two letters picked without replacement from {q: 5, e: 3}. Give prob of picking 1 e and 1 q. 15/28 Three letters picked without replacement from umpuppuppkuukuupmmp. What is prob of picking 1 u, 1 k, and 1 m? 14/323 Calculate prob of picking 1 i, 1 n, and 1 p when three letters picked without replacement from {n: 4, p: 2, i: 1}. 8/35 Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {m: 8, z: 4, l: 2}. 2/91 Four letters picked without replacement from {d: 1, w: 5, x: 3, q: 6}. Give prob of picking 1 x and 3 w. 2/91 Three letters picked without replacement from {k: 2, n: 2, l: 3, x: 2, p: 4}. What is prob of picking 1 n and 2 l? 3/143 What is prob of picking 1 n and 3 v when four letters picked without replacement from {v: 6, n: 13}? 65/969 What is prob of picking 3 y and 1 a when four letters picked without replacement from ayayaaya? 1/14 Calculate prob of picking 1 j and 2 p when three letters picked without replacement from ppjpjpppjxpxj. 42/143 What is prob of picking 1 s, 1 t, and 1 m when three letters picked without replacement from {m: 3, s: 1, t: 4}? 3/14 Calculate prob of picking 2 w and 1 h when three letters picked without replacement from wbwwhkkwwhwwkwcwwk. 15
{ "pile_set_name": "DM Mathematics" }
/1176) and o. 20 Let o = 24914 + -3488001/140. Find the common denominator of 103/3948 and o. 19740 Let u(x) = 2*x**2 + x - 1. Let a = 1009 + -1003. Calculate the smallest common multiple of u(-3) and a. 42 What is the least common multiple of 18 and (4926/6 - -14) + (0 - 1)? 2502 Find the common denominator of 59/48 and (-2)/(-30) + 11280/44800. 336 Let b(i) = i**3 - 9*i**2 - 12*i + 26. Let j be -6 + 0 + (3 - -13). What is the lowest common multiple of 18 and b(j)? 18 Let s be (1 - 31)*-9*6/(-72). Let b = s + 183/8. Calculate the common denominator of b and 69/44. 88 Let i = 3271/1008 + -1/144. Find the common denominator of ((-3)/(36/(-5)))/((-228)/(-2888)) and i. 126 Let h = -8773 + 8781. What is the lowest common multiple of h and 414? 1656 Let n be 3/9 + ((-2249650)/6285)/(-5). Let m = -88878943/7542 + n. Let r = 11709 + m. Calculate the common denominator of 19/16 and r. 144 What is the common denominator of 5/(-90)*(1*-1 - (-246)/10) and 101/195? 585 Let b = -549/105323 - 16052371675/2317106. Let g = b - -6930. What is the common denominator of g and ((-18)/(-4) - 60676/10010) + 8/5? 286 Suppose -734*i - 13028 + 93768 = 0. Let m(n) = -2*n**3 - 9*n**2 + 2. Calculate the least common multiple of i and m(-6). 110 Calculate the common denominator of -82/105 and (-47)/1974*3/2. 420 Let p be (13/(-28))/(2/20). Let y = p - 451/126. What is the common denominator of y and (-483)/20 - ((-184)/161 - 130/(-175))? 36 Let l(u) = 5*u + 14. Let t be l(14). Suppose -2*x + 133 = b, x + 2*b + 2*b - t = 0. Calculate the smallest common multiple of 10 and x. 320 Suppose -21 = -p + 1. Let w be (1/p)/(4/834). Let b = -27/22 + w. Find the common denominator of -75/2 and b. 4 Let m(z) = -z**3 + 11*z**2 - 34*z + 788. Calculate the smallest common multiple of 8500 and m(13). 17000 Let o be 1821*(2 - 13/3). Let g = 38300/9 + o. Calculate the common denominator of g and ((-19745)/150)/11 - (-11)/66. 45 Let l = 195/46 - 5/69. Let x = 1043 - -425. Find the common denominator of (x/80 - 12)*(-5)/6 and l. 24 Let q be (-60)/150 - 117/(-5). Suppose -13 = -3*u + q. Suppose -u = -3*g + 2*r, r - 20 + 0 = -5*g. Calculate the lowest common multiple of 12 and g. 12 Let g be 0/(-21) - 7*362/564 - 4. Let o be 1/4*(-4)/141. Let x = g + o. Find the common denominator of -22/3 and x. 6 Let y(v) = 428*v + 41 - 20 - 19. Let p be y(-1). What is the lowest common multiple of 4 and (-16)/56 + p/(-21)? 20 Let a be 10/(-4)*(3 - 5). Suppose 6*k = -v + k + 37, 0 = 4*v - a*k - 23. What is the least common multiple of v and (-2)/4 - 688/(-32)? 84 Let i(f) = -f**2 - 6*f + 1. Suppose -5*y + 4*h + 8 = -25, 3*h = 2*y - 9. Let m(r) = -r**2 + 7*r + 27. Calculate the lowest common multiple of i(-4) and m(y). 9 Suppose 0 = 18*u - 237 - 123. Suppose 6*c = 46 + u. Calculate the least common multiple of 33 and c. 33 Let l(o) = -4*o**2 - 221*o + 783. What is the least common multiple of l(-41) and 104? 3120 Suppose -3*w + 56 = -10. Suppose 15*p + 1506 = -699. Let x = -133 - p. Calculate the smallest common multiple of x and w. 154 Calculate the least common multiple of (-32128)/(-20) - (-4)/(-1)*21/210 and 876. 9636 Let g = 66 + -168. Calculate the common denominator of -17/6 and ((-3)/36*2)/(6/g). 6 Suppose -14*f - 28 = 98. Let x(q) = 2*q**2 + 13*q - 15. Calculate the lowest common multiple of x(f) and 25. 150 Let s be (-2)/10446*108/198. Let z = 823521/268114 + s. Calculate the common denominator of z and -5/262. 1834 Let p be 7/(((-2)/12)/((-21)/42)). Let r = -1224 - -22021/18. Calculate the common denominator of (-285)/54 - (-7)/p and r. 18 Let n(b) = -1. Let a(d) = -d**2 + 19*d + 27. Let x(j) = a(j) - n(j). Calculate the smallest common multiple of x(20) and 48. 48 Let c(z) = z**3 - 7*z**2 - 53*z + 357. Calculate the lowest common multiple of (1 + (-3)/9)*(-162)/(-12) and c(9). 126 Suppose 0 = 4*v - 4*a - 8544, v - 48*a - 2140 = -49*a. What is the lowest common multiple of v and 10? 10690 Suppose 5*i - 3*a - 18432 = 0, -19*a + 18426 = 5*i - 23*a. What is the smallest common multiple of 40 and i? 14760 Let o(p) = -9*p + 162. Let r be o(14). What is the common denominator of 82/(-3) - -2*(-3)/r and 43/18? 18 Let v = -67 + 71. Suppose d - 3*d + v*s + 36 = 0, -2*d = 5*s - 45. Suppose -t - d = -3*t. Calculate the smallest common multiple of t and 28. 140 Let a = -9756/17 + 88790/153. Let q = -1372/3 + 20587/45. What is the common denominator of a and q? 45 Let m(u) be the first derivative of -u**2 - 12*u + 19. Let y be m(-8). Calculate the common denominator of 2/y - 21/38 - 0 and -26/3. 57 Find the common denominator of -71/63 and (45/(-189))/(5*(-5)/(-75)). 63 What is the common denominator of ((-4)/9 + 10/45)*356/32 and -145/432? 432 Let k = -38899 + 2956279/76. What is the common denominator of k and 57/1252? 23788 Let m(d) = -513*d - 77. Let j be m(-15). Let k = j - 342742/45. Calculate the common denominator of -43 and k. 45 Let r(i) = 14*i + 7. Calculate the least common multiple of 3716/28 - (90/(-21) + 5) and r(5). 924 Suppose -2*n = -v + 3*v - 7438, 2*n = 4*v + 7450. Let o = n - 171131/46. What is the common denominator of o and -79/4? 92 Let f = 2717/2 + -1400. Calculate the common denominator of (-909)/162*6/(-2) and f. 6 Let p(o) = -o**3 + 5*o**2 - 5*o + 6. Suppose -27*y - 72*y + 1384 = 295. Calculate the lowest common multiple of y and p(4). 22 Suppose 0 = 3*s - 6, j + 3*s - 52 + 20 = 0. Let k = j + -3. What is the common denominator of k and (189/252)/((-27)/88)? 9 Suppose -5*t + 4*a = -13, -t + 20 = 3*a + 6. Suppose -4*v - 7 - 1 = 0. What is the smallest common multiple of v*(-3)/6*1 and t? 5 Let j = 12416/7 + -1366369/770. Find the common denominator of 37/308 and j. 1540 Let j = 214/91 + 24601/36400. Let l = j + -146/25. Find the common denominator of 204/18*(-2)/16 and l. 48 Let z(a) = 2*a**3 + 3*a**3 - 2*a**3 + 6*a**3 - 3 - 8*a**3 - 9*a**2 + 23*a. What is the smallest common multiple of z(6) and 99? 297 Suppose 4*x - 78 = -4*z - 14, 5*x + 3*z = 86. Let v = x + 45. What is the smallest common multiple of v and 4? 64 Calculate the common denominator of (11 + -9)/((-944)/172 + 4) and ((-2)/8)/((-45)/(-210)). 96 Calculate the lowest common multiple of 585 and -3*-2*(-18)/(-189)*7. 2340 Let t = -226 + 232. What is the smallest common multiple of 258 and t? 258 Let p(n) = -n**3 + 9*n**2 - 20. Let m be p(9). Let i = m - 34. Calculate the common denominator of ((-174)/(-4))/(i/(-30)) and -35/8. 24 Let v(g) = -g**3 + 14*g**2 + 66*g - 175. What is the least common multiple of v(17) and 18? 720 Suppose -3539*i + 3495*i = -22660. Calculate the lowest common multiple of i and 20. 2060 Let m = -122 + 142. Find the common denominator of (34/(-112))/((-3)/m*-1) and -68/21. 42 What is the common denominator of (-103)/(-40) + (-3)/6 and 1227/(-120) + (-176)/(-1408)? 40 Let c = -18/2327 + -261007/251316. What is the common denominator of c and 11/783? 3132 Let v = 17094 - 666623/39. Calculate the common denominator of v and (-6)/(-4) + 222/396. 429 Let l = 62 + -87. Let r = -5 - l. What is the common denominator of -37/5 and 24/15 + 4/r? 5 Let g(w) = -31*w + 47. Let b be g(5). Calculate the common denominator of 107/54 and 48/b*107/(-16). 108 Let t(u) = -3*u - 5. Suppose 12 = 5*q + 3*s, 11 + 9 = 5*q - 5*s. Suppose d - 9 = 4*j, 3*d - 2*j + q = -0. What is the smallest common multiple of 14 and t(d)? 28 Find the common denominator of (3 + (-476)/16)/((-6)/4) and (3/(-90)*4)/(72/(-2820)). 18 Let q = 37396 - 37216. What is the smallest common multiple of q and 180? 180 Let t = -3153469/18 - -175371. Let m = t - 1750/9. Find the common denominator of m and (65/3)/(2/(-3)). 6 Let k = 47163105 - 122812726949/2604. Let d = -224/93 - k. Calculate the common denominator of d and -23/10. 140 Let b = 2504 + -1784. Calculate the lowest common multiple of 648 and b. 6480 Suppose -243*z - 15250 + 222261 = -394657. Calculate the lowest common multiple of 26 and z. 32188 Suppose 36*d + 65*d - 26*d - 39000 = 0. Calculate the least common multiple of d and 8. 520 Find the common denominator of 73/610 and 4 + ((-112)/10 - -8) - (-9411)/(-11895). 7930 Let h(g) = 74*g + 63. Let f be h(8). Let s = -5875/9 + f. Calculate the common denominator of (-312)/20 - 2/5 and s. 9 Let y(s) = -s**2 + 23*s. Suppose -20 = -62*u + 42*
{ "pile_set_name": "DM Mathematics" }
9*q**2 - 351*q**3 + 3*q - 3*q + 2414*q**2. -351*q**3 Collect the terms in 39*w - 271*w + 114*w - 1102*w**3 + 118*w + 2232*w**3 - 1132*w**3. -2*w**3 Collect the terms in -173827*k**2 + 87008*k**2 + 86824*k**2. 5*k**2 Collect the terms in -7 - 50419*f**2 + 12330*f**2 - 14165*f**2 + 7. -52254*f**2 Collect the terms in 89 + 45*j**2 - 315*j**2 - 266*j**2 - 176 + 95. -536*j**2 + 8 Collect the terms in -189*b**3 - 191*b**3 - 214*b**3 + 1012*b**3 - 218*b**3. 200*b**3 Collect the terms in 251313*r - 621841*r - 228202*r - 428561*r. -1027291*r Collect the terms in 7*f**3 - 151*f**3 + 105*f**3. -39*f**3 Collect the terms in -1681*d**2 - 1549*d**2 + 74*d + 3231*d**2. d**2 + 74*d Collect the terms in -65*q - 62*q + 55492*q**2 - 55494*q**2 + 127*q. -2*q**2 Collect the terms in -100*a - 28*a**2 - 14 - 5*a**2 + 12. -33*a**2 - 100*a - 2 Collect the terms in -31*d**2 - 3*d**2 - 8*d**2 + 1480522*d. -42*d**2 + 1480522*d Collect the terms in 764*x - 430 - 430 - 431 + 1292 + 74*x. 838*x + 1 Collect the terms in 550 + 546 - 113*v**2 - 144*v - 1096. -113*v**2 - 144*v Collect the terms in -53*u**2 + 6883*u**2 + 2376*u**2. 9206*u**2 Collect the terms in -2273*d**2 - 65336*d + 65336*d. -2273*d**2 Collect the terms in 0*a + 4*a + 45 - 158 - 60. 4*a - 173 Collect the terms in -23 - 1 + 1210*i - 2250*i + 1205*i. 165*i - 24 Collect the terms in -39 - 976*p**2 - 1501*p**2 + 30 + 9. -2477*p**2 Collect the terms in -13278224*d**2 - 13*d + 13*d. -13278224*d**2 Collect the terms in -20645*s + 51013*s + 44616*s. 74984*s Collect the terms in 192839*w - 109592*w - 83230*w. 17*w Collect the terms in -2358*m**2 + 2360*m**2 - 1062*m - 149*m. 2*m**2 - 1211*m Collect the terms in -2757*u + 25892*u + 24033*u. 47168*u Collect the terms in 84*t**3 - 35476 - 25*t**3 - 31*t**3 - 30*t**3. -2*t**3 - 35476 Collect the terms in -7855*b**2 + 6*b - 4728 - 2*b + 7856*b**2. b**2 + 4*b - 4728 Collect the terms in -29885 + 29885 - 14252*g + 7034*g + 7104*g. -114*g Collect the terms in 20319*i - 9*i + 970*i. 21280*i Collect the terms in 7*z**2 - 37*z**2 + 13*z**2 + 14*z**2 + 8*z**2 + 7*z**2. 12*z**2 Collect the terms in -46*t - 72*t - 17*t + 345*t. 210*t Collect the terms in 285*q - 79403157 - 76*q + 79403157. 209*q Collect the terms in 207197 - 2*x + 3*x - 207228. x - 31 Collect the terms in -37*p - 7 + 21 - 1 + 0 - 4 + 8. -37*p + 17 Collect the terms in 3074944*v**2 + 3074968*v**2 - 6149913*v**2. -v**2 Collect the terms in 123*l**3 - 93*l**3 + 0*l - 122*l**3 + 0*l - 120*l**3. -212*l**3 Collect the terms in 30 + 7*m + 21*m + 16*m - 57*m + 5*m. -8*m + 30 Collect the terms in -52934 + 49492 + 6*j - 3*j + j - 2*j. 2*j - 3442 Collect the terms in 0 + 0 + 139394931*s - 139395678*s. -747*s Collect the terms in 1 - 1 - 6499*h - 4733*h + 605*h. -10627*h Collect the terms in -17383*j**2 - 17290*j**2 + 69261*j**2 - 17295*j**2 - 17284*j**2. 9*j**2 Collect the terms in -1363*q + 2636*q + 3209*q. 4482*q Collect the terms in 2552*v**2 + 2922*v**2 + 9134*v**2 + 4*v**3 + 4973*v**2. 4*v**3 + 19581*v**2 Collect the terms in 12980860 + 0*k + 2*k - 12980421. 2*k + 439 Collect the terms in -131264*o**3 + 9189*o**3 + 5298*o**3. -116777*o**3 Collect the terms in 695286*r - 347653*r - 347640*r. -7*r Collect the terms in -7 - 15 - q + 6 + 46 + 0. -q + 30 Collect the terms in -389106*z**2 + 17304*z - 3 - 17304*z. -389106*z**2 - 3 Collect the terms in -268360*g**3 + 536427*g**3 - 268066*g**3. g**3 Collect the terms in 5814*s**3 + 5800*s**3 - 17462*s**3 + 5836*s**3. -12*s**3 Collect the terms in 6 - 121*q**2 + 127*q**2 + 38*q**2 + 112*q**2 + 39*q**2. 195*q**2 + 6 Collect the terms in -21929*u**2 + 9176*u**2 + 12698*u**2. -55*u**2 Collect the terms in 11*j**3 - 44*j + 241*j - 20*j**2 + 22*j**2 + 106*j. 11*j**3 + 2*j**2 + 303*j Collect the terms in -40799*j**3 - 40801*j**3 - 41028*j**3 + 122629*j**3. j**3 Collect the terms in 198 + 363 + 403 + 2*y + 178. 2*y + 1142 Collect the terms in 31836 - 8762 - 1634*r + 1639*r. 5*r + 23074 Collect the terms in -8*m**2 + 13*m**2 + 1162*m + 38*m**2 + 1201*m - 2363*m. 43*m**2 Collect the terms in 432 + 2*m - 74 + 270 - 13. 2*m + 615 Collect the terms in 2*m**3 - 3584*m + 1711*m + 1857*m + 4*m**3. 6*m**3 - 16*m Collect the terms in -6774*y + 20492*y - 6816*y + y**2 + 2*y**2 - 6902*y. 3*y**2 Collect the terms in 120*k**2 - 30*k**2 + 381*k - 1458*k - 57*k**2 + 2 - 31*k**2. 2*k**2 - 1077*k + 2 Collect the terms in 44764*y - 22451*y - 22304*y. 9*y Collect the terms in 3599 - 14432 - 2*f + 3604 + 3610 + 3619. -2*f Collect the terms in -233*r**2 - 22*r - 1 + 224*r**2 - 3*r. -9*r**2 - 25*r - 1 Collect the terms in -120*p**2 + 271*p**2 + 331*p**3 - 94*p**2 - 85*p**2. 331*p**3 - 28*p**2 Collect the terms in 793*b**2 - 64173*b**3 - 16529*b**3 - 793*b**2. -80702*b**3 Collect the terms in -39 + 3*h - 2*h**2 - 9*h - 24*h + 12*h - 63*h. -2*h**2 - 81*h - 39 Collect the terms in -52*o**3 - 2*o + 52*o**3 - o**3 - 69*o**2. -o**3 - 69*o**2 - 2*o Collect the terms in 11 + 14 + 7733*a**2 - 2569*a**2 + 11 - 2578*a**2 - 2588*a**2 - 36. -2*a**2 Collect the terms in -30*g**3 + 29*g**3 + 14*g - 1433170*g**2 + 79*g + 1433170*g**2. -g**3 + 93*g Collect the terms in 479*y - 217*y - 82*y. 180*y Collect the terms in -8855*j**2 - 19710*j**2 + 55425*j**2 + 69916*j**2. 96776*j**2 Collect the terms in -1970*v - 37 + 991*v + 964*v. -15*v - 37 Collect the terms in 9253*w + 1 + 7697*w - 23723*w. -6773*w + 1 Collect the terms in -768*n**2 - 772*n**2 - 760*n**2 + 2394*n**2 - 1067*n**2. -973*n**2 Collect the terms in 421 + 223*s - 422 - 207*s + 244*s**3. 244*s**3 + 16*s - 1 Collect the terms in 0*l + 3*l + l + 19007*l**2 - 5*l - 8. 19007*l**2 - l - 8 Collect the terms in 59*f + 3*f + 20*f + 6404 - 6405. 82*f - 1 Collect the terms in 61460*q**2 + 775*q + 61459*q**2 - 122921*q**2. -2*q**2 + 775*q Collect the terms in 18*k - 18*k + 68*k**2 - 26*k**2 - 42*k**2 - 160*k**3. -160*k**3 Collect the terms in -31*g**3 + 508*g**2 + 124*g**3 - 29*g**3 - 508*g**2 - 36*g**3 - 33*g**3. -5*g**3 Collect the terms in 0*r + 2*r**3 - 214901 + 429783 + r - 214882. 2*r**3 + r Collect the terms in -87849*x**2 - 31700*x**2 - 408610*x**2. -528159*x**2 Collect the terms in -628*q + 634*q + 148 - 149. 6*q - 1 Collect the terms in 6365*j**3 + 54850*j**3 - 8875*j**3. 52340*j**3 Collect the terms in 1685*d - 431*d + 8696*d + 8504*d - 2065*d. 16389*d Collect the terms in 14*z**2 - 467430*z + 467430*z - 267*z**3. -267*z**3 + 14*z**2 Collect the terms in 5*h**2 + 2270915 + 2*h - 2270948 + 0*h. 5*h**2 + 2*h - 33 Collect the terms in -77*l - 91*l - 75*l + 76*l**2 + 243*l - 83*l**2. -7*l**2 Collect the terms in -36685*d**2 - 36679*d**2 + 2*d - 2*d + 152296*d**2 - 42247*d**2 - 36683*d**2. 2*d**2 Collect the terms in -2*y**2 + y**2 + 2*y**2 - 1677*y + 520*y + 558*y + 600*y. y**2 + y Collect the terms in -163*i**2 - 116*i**2 + 98*i**3 - 159*i**2 + 438*i**2 + 338*i**3. 436*i**3 Collect the terms in o + 41 + 43 + 60*o**2 - 84. 60*o**2 + o Collect the terms in 8*d + 77353 + 77641 + 77665 - 232659. 8*d Collect the terms in 88 - 56 + 28*q - 30*q - 59. -2*q - 27 Collect the terms in 5 - 3*a + 41 + 7*a - 16 + 19 - 2*a. 2*a + 49 Collect the terms in 2136*m**2 + 2164*m**2 + 4*m + 2165*m**2 - 8633*m**2 + 2136*m**2. -32*m**2 + 4*m Collect the terms in 740*h + 23*h**2 - 2*h**2 + 731*h + 739*h - 2210*h. 21*h**2 Collect the terms in 38*j + 45*j + 42*j - 188*j + 63*j + 99*j**2. 99*j**2 Collect the terms in -23438*p + 23737*p + 52392*p + 17032*p. 69723*p Collect the terms in 291 + 38 - 1277*l + 251. -1277*l + 580 Collect the terms in 261*u - 71*u - 81*u - 71*u + 38*u - 14*u**3 - 76*u. -14*u**3 Collect the terms in -165*l - 27 + 22 + 8*l - 49*l - 43*l. -249*l - 5 Collect the terms in -11 - 63*p - 15 - 29 + 88 - 12 - 12 - 11. -63*p - 2 Collect the terms in 1066570*t**3 + 225 - 247 - 1066572*t**3. -2*t**3 - 22 Collect the terms in -415*s - 407*s - 415*s**2 - s**3 - 150*s**2 + 824*s. -s**3 - 565*s**2 + 2*s Collect the terms in -1 + 1 - 398666048469*b**2 + 398666048457*b**2. -12*b**2 Collect the terms in -5*c**2 - 4*c**2 + 77023 + 77041 - 154052. -9*c**2 + 12 Collect the terms in -791*h**3 + 2991*h**3 - 2196*h**3. 4*h**3 Collect the terms in 46*w - 165*w + 42*w + 28*w + 35*w + 38*w - 2. 24*w - 2 Collect the terms in -18885 - 683515*d**3 + 18885 + 683513*d**3. -2*d**3 Collect the terms in 224
{ "pile_set_name": "DM Mathematics" }
late 5*b(j) - 4*d(j). 3*j**3 + 74*j Let u(z) = -45*z**3 - 4*z**2 - 5*z - 3. Let p(v) = -2*v. Calculate 3*p(a) - u(a). 45*a**3 + 4*a**2 - a + 3 Let h(g) = -19*g**2 + 12*g + 30. Let d(s) = 5*s**2 - 3*s - 7. Let k(w) = -9*d(w) - 2*h(w). Let b(l) = -l**2 + 1. Give 5*b(j) - k(j). 2*j**2 - 3*j + 2 Let o(t) = -t**2 + 1. Let q(f) = -3*f - 49. Let i be q(-16). Let p(n) = -4*n**2 + n + 1. Give i*p(h) + 2*o(h). 2*h**2 - h + 1 Let u(x) = -625*x + 31. Let s(v) = 156*v - 7. What is 9*s(l) + 2*u(l)? 154*l - 1 Let q(i) be the second derivative of 0*i**3 - 1/20*i**5 + 1/12*i**4 + 0 + 1/2*i**2 + 11*i. Let k(u) = 4*u**3 - 3*u**2 - 2. Determine 2*k(m) + 6*q(m). 2*m**3 + 2 Let i(x) = -3*x - 1. Suppose a + 0*f + 4*f + 14 = 0, 2*f = -10. Let g(h) = 6*h + a*h - 11*h. What is -4*g(w) - i(w)? -w + 1 Let p(i) = -4*i**2 + 3. Suppose -3*f = 26*j - 22*j + 16, 14 = -4*f + 2*j. Let a(o) = -o**2 + 1. Determine f*a(x) + 2*p(x). -4*x**2 + 2 Suppose -2*u - 5*i = -4, u - 4*i - 12 = -10. Let b(j) = -1. Let k(r) = -5*r. Calculate u*b(y) - k(y). 5*y - 2 Let q(o) = -9*o + 15. Let h(v) = 6*v - 7. What is 7*h(y) + 3*q(y)? 15*y - 4 Let p(r) = -1. Let u(f) = -f - 6. Let j = 1162 + -1158. What is j*p(m) - u(m)? m + 2 Let i(o) = -o**3 + o - 1. Let c(x) = 2*x**3 + 2*x**2 + x + 3. Let p(s) = 13*s - 55. Let b be p(4). Calculate b*i(r) - c(r). r**3 - 2*r**2 - 4*r Let m(o) = 5*o**3 - 2*o**2 - 4*o - 3. Let q(h) = 1 + 43*h - 4*h**3 - 87*h + 47*h + 1 + 2*h**2. Calculate -3*m(t) - 4*q(t). t**3 - 2*t**2 + 1 Suppose 57*u - 16 = 49*u. Let b(r) = 3*r + 2. Let c(g) = -6*g - 5. What is u*c(o) + 5*b(o)? 3*o Let y(t) = -17*t**3 + 2*t**2 + 4*t - 1. Let f(i) = 48*i**3 - 6*i**2 - 11*i + 3. What is -6*f(z) - 17*y(z)? z**3 + 2*z**2 - 2*z - 1 Let p(q) = -77*q + 1. Let k(o) = -39*o. Calculate 5*k(i) - 2*p(i). -41*i - 2 Suppose -82*p + 85*p - 822 = 0. Let i = p - 272. Let f(c) = -c - 1. Let j(m) be the third derivative of -m**4/8 + m**3/6 - m**2. What is i*f(l) - j(l)? l - 3 Let u(k) = 7*k - 54. Let f(h) = 10*h - 55. Calculate -3*f(n) + 4*u(n). -2*n - 51 Let d(q) = 1. Let m(g) = -5*g - 9. Let t(l) = 6*l + 10. Let j(x) = -5*m(x) - 4*t(x). Suppose -3*w + 0 = -9. Suppose -7*y - 66 = -w. Determine y*d(f) + 2*j(f). 2*f + 1 Let s(f) = -f**2 + 13*f + 8. Let d(h) = h**2 - 14*h - 9. Calculate 6*d(v) + 7*s(v). -v**2 + 7*v + 2 Let t(f) = 6*f + 592. Let r(j) = 2*j + 198. What is 7*r(h) - 2*t(h)? 2*h + 202 Let r(u) = -u**2 - 1. Let m(y) = -2*y**3 - 2*y**2 - 2*y - 6. Let j(k) = -k - 1. Let f(v) = -2*j(v) + m(v). Determine -f(d) + 6*r(d). 2*d**3 - 4*d**2 - 2 Let f(j) = -j**2 - 3. Let s(g) = -g**2 + 5*g. Let y be s(6). Suppose 0 = -4*l - 24 - 16. Let p(r) = 2*r**2 + 5. Calculate l*f(w) + y*p(w). -2*w**2 Let j(y) = 3*y + 39. Let d(z) = z. Determine -4*d(p) + j(p). -p + 39 Let f(n) = -2*n**2 + 17*n + 6. Let o(v) = -2*v**2 + 17*v + 5. Determine 5*f(a) - 6*o(a). 2*a**2 - 17*a Let t(x) = x + 1. Let y(h) = -2*h**2 + 3*h + 4. Let w = -86 + 83. Give w*t(i) + y(i). -2*i**2 + 1 Let r(f) = -2*f + 8. Let v(n) be the third derivative of n**4/12 - 3*n**3/2 + 34*n**2 + 1. Give 6*r(i) + 5*v(i). -2*i + 3 Let d(k) = -42*k + 14. Let x(u) = -34*u + 14. Let g(t) = -4*d(t) + 5*x(t). Let j(q) = -1. Determine 5*g(h) + 70*j(h). -10*h Let c(j) = -2*j**3 + 3*j. Let m(a) = a. Suppose f + 2 = -4*z - 4, 3*z = f - 8. What is f*c(d) - 6*m(d)? -4*d**3 Let c(i) = 8*i - 12. Let k(l) = -8*l + 13. Calculate -6*c(p) - 5*k(p). -8*p + 7 Let f(g) = 2*g**2 - 1. Let h(a) = 9*a**2 + 2*a + 6. Determine -6*f(w) - h(w). -21*w**2 - 2*w Let h(p) = -10*p**3 - 12*p**2 + 11*p + 4. Let u(m) = 18*m**3 + 23*m**2 - 20*m - 7. Calculate -7*h(w) - 4*u(w). -2*w**3 - 8*w**2 + 3*w Suppose 0 = 41*f - 49*f - 48. Let o(g) = -48*g**3 - 20*g**2. Let c(a) = 7*a**3 + 3*a**2. Give f*o(x) - 40*c(x). 8*x**3 Let c(o) = 9*o**2 - 5*o - 2. Let n = 19 + -22. Let a(p) = -5*p**2 + 3*p + 1. Determine n*c(j) - 5*a(j). -2*j**2 + 1 Let s(h) = -88*h + 53*h + 29*h - 5. Let k(q) = 1. Determine 6*k(r) + s(r). -6*r + 1 Let i(h) be the first derivative of h**2/2 - 350. Let j(f) = -5*f - 9. What is 4*i(p) + j(p)? -p - 9 Suppose -2*g - 2 = 2*o + 2*o, 3 = -3*o - 2*g. Let q(j) = -3 - 1 - o - 9*j**3. Let a(r) = -4*r**3 - 2. Determine 7*a(b) - 3*q(b). -b**3 + 1 Let f = -1683 - -1672. Let c(q) = 4*q**3 - 2*q**2 + 6*q + 6. Let d(t) = 11 + 7*t**3 + 4*t + 5*t - 4*t**2 + 2*t. Give f*c(j) + 6*d(j). -2*j**3 - 2*j**2 Let z(o) = 47*o + 17. Let m(g) = 9*g + 4. Let p(j) = 11*m(j) - 2*z(j). Let h(u) = 6*u + 11. Calculate 3*h(l) - 4*p(l). -2*l - 7 Let c(w) = -2*w + 1. Let v(z) = -7*z - 446. Give -4*c(o) + v(o). o - 450 Let k(m) = -m**2 - 89*m. Let o(l) = -1. Determine -k(a) + 2*o(a). a**2 + 89*a - 2 Let m = 191 + -174. Let k(c) = c - 7. Let f(z) = 3*z - 20. Determine m*k(r) - 6*f(r). -r + 1 Let g(s) = -7*s - 78. Let i(j) = -3*j - 40. What is 4*g(p) - 9*i(p)? -p + 48 Let y(r) = -3*r + 12. Let f = -1455 + 1464. Let v(k) = -k + 3. Determine f*v(b) - 2*y(b). -3*b + 3 Let g(k) = 9*k - 2. Let y = -19 + 29. Suppose -5*h + y*h = -30. Let v(b) be the first derivative of -b**2/2 - 1. Give h*v(n) - g(n). -3*n + 2 Let p(w) = 281*w - 3. Let a(k) = -842*k + 8. Give 3*a(u) + 8*p(u). -278*u Let r(a) = -12*a**3 - 5*a**2 - 4*a + 8. Let f(q) = -q**3. Let h(o) = 6*f(o) - r(o). Let b(v) = 7*v**3 + 6*v**2 + 5*v - 9. What is -5*b(n) + 6*h(n)? n**3 - n - 3 Let v = -1 - -4. Let l(h) = -3*h + 1. Let a = 255 - 259. Let b(f) = -8*f + 1. Let m(n) = 7*n - 1. Let k(s) = -5*b(s) - 6*m(s). What is a*k(t) + v*l(t)? -t - 1 Let v(d) = -d**3 + 72*d**2 + 3*d - 212. Let a be v(72). Let t(m) = -m. Let b(p) = -p + 3. Give a*t(h) + b(h). -5*h + 3 Let n(s) = -7*s**3 - 2*s**2 - 2*s + 5. Suppose 2*p = 3*c + 4, 4*c = 5*p + 2 - 5. Let a(o) = -2 - o**2 - 2*o**2 + o + 3*o**3 + 4*o**2. Calculate c*n(y) - 5*a(y). -y**3 - y**2 - y Let g(b) = 153*b**2 + 26*b + 23. Let j(y) = 50*y**2 + 9*y + 8. Calculate -6*g(s) + 17*j(s). -68*s**2 - 3*s - 2 Suppose -u - 5*y + y + 2 = 0, 0 = -5*u + 5*y + 35. Suppose u = 5*w + 1. Let s(x) = -2*x**2 - x + 3. Let f(o) = -11 - 6 - 2 + 18. What is w*s(n) + 2*f(n)? -2*n**2 - n + 1 Let m(j) = 2*j + 1. Let r(k) = 5*k + 3. Let c(z) = 2*m(z) - r(z). Let p(n) = 8*n + 6. Calculate 6*c(x) + p(x). 2*x Let n(g) = 10*g + 6. Let x be 1*1/(-2)*2. Let d(z) = -13*z + 22. Let p(m) = -11*m + 19. Let r(t) = 6*d(t) - 7*p(t). Determine x*n(o) - 8*r(o). -2*o + 2 Let g(d) = 737*d - 242. Let q(b) = -15*b + 5. What is -2*g(s) - 99*q(s)? 11*s - 11 Suppose 10*z - 27*z + 17 = 0. Let t(y) = 1. Let v(g) = -g - 1. Let o(s) = s + 9. Let m(f) = o(f) + 2*v(f). Calculate z*m(i) - 5*t(i). -i + 2 Let c(g) = -4*g**2 + 5*g - 6. Let n(v) = 4*v + 10. Let f be n(8). Let l = f + -37. Let d(m) = -3*m**2 + 4*m - 5. What is l*c(w) - 6*d(w)? -2*w**2 + w Let g(o) = o - 5. Let d(q) = -1. Let u(s) = 3*s**3 - 10*s**2 + 4*s - 4. Let l be u(3). Let v(x) = -3*x - 3. Let k be v(-2). Determine k*d(w) + l*g(w). -w + 2 Let b(h) = -5*h**3 - 20*h**2 + 3*h - 1. Let p(y) = 10*y**3 + 40*y**2 - 7*y + 2. Calculate -7*b(l) - 3*p(l). 5*l**3 + 20*l**2 + 1 Let d(w) = -w**3 - 1. Let x(c) = 4*c**3 + 9. Suppose -11*m - 1 = -7*m - 5*u, 6 = 5*m + u. What is m*x(i) + 5*d(i)? -i**3 + 4 Let n(d) = d - 39. Let z(y) = y - 38. Determine 6*n(t) - 5*z(t). t - 44 Let s(r) = 39*r**2 - 2. Let l(f) = -5032*f**2 + 259. Give -2*l(v) - 259*s(v). -37*v**2 Let s(k) = 8*k**3 - 9*k**2 - k + 8. Let l(a) = 12*a**3 - 13*a**2 - 2*a + 12. What is 5*l(t) - 7*s(t)? 4*t**3 - 2*t**2 - 3*t + 4 Let h(l) = -2*l - 1. Let r(y) = 2*y + 1. Let q = -83 + 87. Let n(b) = -b**3 + 5*b**2 - b - 6. Let z be n(q). Let x = -3 - -8. What is x*r(t) + z*h(t)? -2*t - 1 Let u(k) = -3*k**2 - 4*k. Let m(y) = 15*y**2 - 3*y. Let o(q) = 13*q**2 - 2*q. Let p(x) = 5*m(x) - 6*o(x). Determine -4*p(s) + 3*u(s). 3*s**2 Let i(h) = 4*h + 7. Let p(f) = -f**3 + 5*f**2 - 7*f + 6. Let u be p(3). Suppose -20 = -u*k - 2. Let y(w) = 1 + 0 + w + 0*w. Calculate k*y(n) - i(n). 2*n - 1 Let n(m) = 11 + 161*m - 13*m**2 + 37*m**2 + 7*m**2 - 334*m + 162*m. Let r(f) = -10*f**2 + 4*f - 4. Calculate 4*n(j) + 11*r(j). 14*j**2 Let g(z) = -z**2 + 2. Let q(d) = d**2 - 1. Let j be (4 - -4)/(-2)*10/(-8). Let u(a) = -a**2 + 4*a + 9. Let c be u(j). Calculate c*g(p) + 5*q(p). p**2 + 3 Let c(m) = -m + 5. Let b(j) = -6*j - 6. Let d(l) = -4*l + 1. Let n(t) = -3*b(t) + 6*d(t). Give -14*c(i) + 3*n(i). -4*i + 2 Let d(v)
{ "pile_set_name": "DM Mathematics" }
*3 + 321*p + 325*p - 1335*p. 2*p**3 Collect the terms in 3283*k - 3*k**2 - 3207*k + 5*k**2. 2*k**2 + 76*k Collect the terms in -244*b**2 - 3491492*b + b**3 + 3491492*b. b**3 - 244*b**2 Collect the terms in 184*k**2 - 373*k**2 + 60*k**3 + 5*k**2 + 184*k**2. 60*k**3 Collect the terms in 2584 + b**2 + 0*b**2 + 777. b**2 + 3361 Collect the terms in -54*u**2 - 304*u**2 - u**2. -359*u**2 Collect the terms in u**3 + 65*u - 33*u + 188 - 32*u. u**3 + 188 Collect the terms in 1283*z - 3867*z + 0 + 1280*z + 1306*z + 0 + 0. 2*z Collect the terms in -20*j + j**3 + j**3 - 14*j - 18*j + 38*j. 2*j**3 - 14*j Collect the terms in l - 941*l**2 + 981*l**2 + 0*l. 40*l**2 + l Collect the terms in 2*c**3 - 5208 + c**2 - 2*c**2 - c**3. c**3 - c**2 - 5208 Collect the terms in k - 5*k + 3169*k**2 + 4*k. 3169*k**2 Collect the terms in 7*x**2 - 92*x**2 + 32*x**2 + 33*x**2 + 25*x**2. 5*x**2 Collect the terms in 10707759 - 4*z**2 - 10707759. -4*z**2 Collect the terms in -10*t**3 + 40 + 6*t**3 - 10 - 20. -4*t**3 + 10 Collect the terms in u**2 + 32867*u - 32867*u. u**2 Collect the terms in -2409*f**2 + 2434*f**2 + 6 - 6. 25*f**2 Collect the terms in -5 - 488*t**3 - 478*t**3 + 971*t**3. 5*t**3 - 5 Collect the terms in 112*k**3 + 106*k**3 - 158*k**3. 60*k**3 Collect the terms in 249*i**3 - 254*i**3 - 29*i + 27*i. -5*i**3 - 2*i Collect the terms in 104840*s - 346*s**2 - 104840*s. -346*s**2 Collect the terms in -19*s + 730*s**3 + 12*s + 7*s. 730*s**3 Collect the terms in 65754 - 2*o**3 + 65746 - 131500. -2*o**3 Collect the terms in 818*r - 62*r**2 + 817*r - 1635*r. -62*r**2 Collect the terms in -146*y - 301*y + 430*y. -17*y Collect the terms in -m**2 + 17*m**2 - 14*m**2 - 2. 2*m**2 - 2 Collect the terms in -2*u**2 + 87*u - 20*u - 67*u + u**2. -u**2 Collect the terms in -890*d + 1942*d - 1045*d. 7*d Collect the terms in 2 + 77*b**3 - 33 - 20. 77*b**3 - 51 Collect the terms in -1060*w + 2 - 10*w - 324*w. -1394*w + 2 Collect the terms in -1633*m**2 + 3462*m**2 + 6677*m**2. 8506*m**2 Collect the terms in -4509*x**2 + 731*x**2 - 218*x**2. -3996*x**2 Collect the terms in 87 - 87 + 3*o + 9. 3*o + 9 Collect the terms in -2256 + 2*c**2 - 2249 + 4505. 2*c**2 Collect the terms in 10*i**2 + 423523207*i - 423523207*i. 10*i**2 Collect the terms in -11*o + 15*o - 54*o**2 - 8*o**2 + 18*o - 18*o. -62*o**2 + 4*o Collect the terms in 12*z**3 + 0*z**3 + 5*z**3 + 6*z**3 - 3*z**3. 20*z**3 Collect the terms in 4 + 115*x - 8 + 1 - 3*x**3. -3*x**3 + 115*x - 3 Collect the terms in -8*u**3 - 9073*u + 9073*u. -8*u**3 Collect the terms in 15*u + 13*u + 240 - 44*u + 18*u. 2*u + 240 Collect the terms in -70627119*f + 25*f**2 - 4 + 70627119*f. 25*f**2 - 4 Collect the terms in 7*x**3 + 48*x - 3*x**2 + 3*x**2 - 8*x. 7*x**3 + 40*x Collect the terms in -22 - 24 - 28 - 5*o + 94 - 23. -5*o - 3 Collect the terms in 4 + 53926*d**2 - 6 - 53928*d**2 + 2. -2*d**2 Collect the terms in -115*f - 122*f - 122*f + 349*f. -10*f Collect the terms in 44*i**3 - 37850*i + 18923*i + 18927*i. 44*i**3 Collect the terms in -670*w - 18*w**2 + 19*w**2 + 670*w. w**2 Collect the terms in -1 + 1 - 93032341*y**2 + 93032353*y**2. 12*y**2 Collect the terms in 0 + 17*a**3 - 54*a**3 + 1 - 5. -37*a**3 - 4 Collect the terms in 94*v - 35*v - 3 - 22*v + 0*v. 37*v - 3 Collect the terms in 37*o**2 + 48*o**2 + 33*o**2 - 26*o**2 + o**2. 93*o**2 Collect the terms in 136*l**3 - 34*l**3 - 25*l**3 - 33*l**3. 44*l**3 Collect the terms in 4*b + 531*b**3 - 623*b**3 - b - 3*b. -92*b**3 Collect the terms in -15400*s + 2*s**2 + 15400*s. 2*s**2 Collect the terms in -24 + 1342*r + 2 + 22. 1342*r Collect the terms in 23012*p - 46020*p + 18 + 17 - 35 + 23007*p. -p Collect the terms in 2 - 575*x + 285*x + 295*x. 5*x + 2 Collect the terms in 6*j + j - 1683*j**3 - j - 6*j. -1683*j**3 Collect the terms in -2116*r**2 + 0*r - 326*r**2 - r. -2442*r**2 - r Collect the terms in -107*k**2 + 33*k + 37*k - 70*k. -107*k**2 Collect the terms in 739011 - 739011 + 228*n - 228*n + 3*n**3. 3*n**3 Collect the terms in 10*j**3 + 6*j**3 + 10*j**3 + 42*j**2 - 42*j**2. 26*j**3 Collect the terms in -70*c - 21 + 2*c + 51 - 30. -68*c Collect the terms in -15764*g + 1292*g - 3171*g + 1549*g. -16094*g Collect the terms in 115*c + 3*c - 3 + 41*c + 14*c - 58*c. 115*c - 3 Collect the terms in 0 + 6875*o**2 + 0 - 356*o**2. 6519*o**2 Collect the terms in -167*j**2 - 4 - 176*j**2 + 4 - 79*j**2. -422*j**2 Collect the terms in -5 - 83 - 398*j**2 - 28 + 19. -398*j**2 - 97 Collect the terms in c**3 + 271 - 680*c**2 - 275 + 680*c**2. c**3 - 4 Collect the terms in -15611*g**3 + 5235*g**3 + 5193*g**3 + 5185*g**3. 2*g**3 Collect the terms in -725 + 4761*i - i**2 + 725. -i**2 + 4761*i Collect the terms in -103*r**3 + r + 5*r**3 + 8*r**2 - r. -98*r**3 + 8*r**2 Collect the terms in 0*v - 5*v - v + 6*v + 2928*v**2 - 2927*v**2. v**2 Collect the terms in 49 - 24*k**2 - 136 + 42 + 45. -24*k**2 Collect the terms in -6528 + 109*f**3 + 6528. 109*f**3 Collect the terms in 969*r**2 + 2791*r**2 - 3755*r**2. 5*r**2 Collect the terms in -5285*w**2 + 2646*w**2 + 2672*w**2. 33*w**2 Collect the terms in -3333*p + 10 + 6668*p - p**3 - 3335*p. -p**3 + 10 Collect the terms in 14148433037 - 20*k - 14148433037. -20*k Collect the terms in 335747*b + 1 - 1 - 335748*b. -b Collect the terms in 2 + 2 + 14560*y**3 - 4 - 14520*y**3. 40*y**3 Collect the terms in -43*l + 73*l + 111*l**3 - 30*l. 111*l**3 Collect the terms in -2*n**3 + 3*n**3 - 3*n - 4*n**3 - n**3. -4*n**3 - 3*n Collect the terms in -300*r + 150*r + 182*r - 6*r**2. -6*r**2 + 32*r Collect the terms in -40 + 169 + 2*f - 51 - 31 - 47. 2*f Collect the terms in -5181718 + x**3 + 5181718 + x**3. 2*x**3 Collect the terms in -2404*r**2 - 972*r**2 - 8824*r**2. -12200*r**2 Collect the terms in 4206 - 194*i - 4206. -194*i Collect the terms in 21*c + 21*c - 46*c + 3*c - 110. -c - 110 Collect the terms in -143*f**2 + 613*f**2 + 290*f**2 + 896*f**2. 1656*f**2 Collect the terms in -15*g + 1176 + 1179 - 3526 + 1171. -15*g Collect the terms in 148*a - 2*a**3 - 168*a**2 + 3*a**3 - 148*a. a**3 - 168*a**2 Collect the terms in -392719*t + 785439*t - 392718*t. 2*t Collect the terms in -7 - 763*j + 7 + 0. -763*j Collect the terms in 26*f + 1664*f - 127*f + 1394*f. 2957*f Collect the terms in -18152*i + 907*i - 2264*i. -19509*i Collect the terms in -267*j + 142*j + 117*j. -8*j Collect the terms in 36*t + 18*t - 21*t - 23. 33*t - 23 Collect the terms in -9*q - 3317*q**3 - 2400*q**3 + 7*q - 326*q**3. -6043*q**3 - 2*q Collect the terms in -129741*q**3 + 177 + 129740*q**3 - 177. -q**3 Collect the terms in -355*u**3 - 101*u + 208*u - 107*u. -355*u**3 Collect the terms in 0*f - 1373*f**2 + 1358*f**2 + 0*f. -15*f**2 Collect the terms in -8*r**3 - 6 - r**3 + r**3 + 17*r**3 - 12. 9*r**3 - 18 Collect the terms in 2*l**2 + 2634170*l - 2634170*l. 2*l**2 Collect the terms in 208*s + 1 + 203*s + 5 - 7 - 407*s + 0. 4*s - 1 Collect the terms in -4*l + 61*l**3 + 15*l - 11*l + 80*l**3. 141*l**3 Collect the terms in -102*l**2 + 14*l + 102*l**2 - 14*l - 39*l**3. -39*l**3 Collect the terms in -7858*w - 35655*w - 4 + 5 - 3. -43513*w - 2 Collect the terms in -5 + 2 + 7*p + 7 + 6*p. 13*p + 4 Collect the terms in -946*h**2 - 182*h**2 - 862*h**2. -1990*h**2 Collect the terms in 1991 - 4012 + 2021 + 8*i. 8*i Collect the terms in 2*c - 89 + 35 + 1932*c**2 + 54. 1932*c**2 + 2*c Collect the terms in 351*j**2 - 505*j**2 - j + 142*j**2 - 5*j + 6*j. -12*j**2 Collect the terms in -1425*h + 476*h - 2416*h. -3365*h Collect the terms in 3*j**3 + 5*j**3 - 38*j**3 - 12 + 11. -30*j**3 - 1 Collect the terms in -124*d**3 - 123*d**3 + 6274326 - 6274326 + 246*d**3. -d**3 Collect the terms in 7*i**3 - 81*i**3 + 34*i**3 - 93*i**3. -133*i**3 Collect the terms in -467 - 480 + s**3 + 757. s**3 - 190 Collect the terms in 64063144 + 75*u**3 - 64063144. 75*u**3 Collect the terms in 119 - 269*h**3 + 27 + 262*h**3 + 2*h**2. -7*h**3 + 2*h**2 + 146 Collect the terms in -209464*g**3 + 418942*g**3 - 209477*g**3. g**3 Collect the terms in 132 + 140 - 18*n**3 - 406 + 134. -18*n**3 Collect the terms in -8*t**3 + 228 - 120 - 113. -8*t**3 - 5 Collect the terms in 12605 + 2609*s**3 - 12605. 2609*s**3 Collect the terms in 1270 + 1236 - f**2 + 1233 - 3739. -f**2 Collect the terms in -18113*p - 18113*p - 18101*p - 18112*p - 18105*p + 90545*p. p Collect the te
{ "pile_set_name": "DM Mathematics" }
3) + 108 Simplify ((sqrt(240)/sqrt(128))/(-1*sqrt(54)))**2. 5/144 Simplify (-6*(2 + sqrt(396) + -4)*-1)**2. -864*sqrt(11) + 14400 Simplify -5*(sqrt(85)/(-1*sqrt(5)) + 1)**2. -90 + 10*sqrt(17) Simplify (sqrt(408)/sqrt(48) - sqrt(34))/sqrt(2). -sqrt(17)/2 Simplify (-2 + sqrt(396))*3. -6 + 18*sqrt(11) Simplify (-1*(2*sqrt(39) + sqrt(39) - sqrt(39)))/(sqrt(48)*1). -sqrt(13)/2 Simplify 4 + (sqrt(13) + -4)**2 + (sqrt(156) + sqrt(156)*-5)/sqrt(12). -12*sqrt(13) + 33 Simplify sqrt(88)/(-6*sqrt(72)). -sqrt(11)/18 Simplify -1 + sqrt(13) + sqrt(104)/(sqrt(8) + sqrt(128)) + (sqrt(325) + 1 - sqrt(325) - sqrt(325))**2. -44*sqrt(13)/5 + 325 Simplify (sqrt(30) + sqrt(120)/(1*sqrt(4) + sqrt(4)))/sqrt(6). 3*sqrt(5)/2 Simplify (-2*sqrt(1008)*1)**2*-6*4. -96768 Simplify 5*-1*sqrt(405). -45*sqrt(5) Simplify sqrt(24)/(3*(sqrt(12) - (sqrt(12) + sqrt(84)/sqrt(7)))). -sqrt(2)/3 Simplify (sqrt(12) - ((sqrt(1452) - sqrt(1452)*-2) + sqrt(12)))/(sqrt(484)*2 + sqrt(484)). -sqrt(3) Simplify -2*sqrt(45) + 1 + ((sqrt(720))**2 - sqrt(5)) + (-2*-2*sqrt(5))**2. -7*sqrt(5) + 801 Simplify (sqrt(51)/sqrt(3) + 4)**2*-6. -198 - 48*sqrt(17) Simplify (sqrt(152) - (sqrt(152) + sqrt(152) + (sqrt(152) + 1*sqrt(152))*-1))/(sqrt(648)*-1)*-4. 4*sqrt(19)/9 Simplify (1 + 0 + sqrt(704))*5. 5 + 40*sqrt(11) Simplify (4*(sqrt(104) + sqrt(104)*4))/sqrt(2). 40*sqrt(13) Simplify (sqrt(189)*-4)/sqrt(3) - ((sqrt(70) + (sqrt(70) + -1*-1*sqrt(70) - sqrt(70)))/sqrt(10))**2. -12*sqrt(7) - 28 Simplify (sqrt(4)/sqrt(2) + -3)**2 + sqrt(20)/(sqrt(10)*2). -11*sqrt(2)/2 + 11 Simplify -5 + (sqrt(68)/sqrt(4) + 0)**2. 12 Simplify 1 + sqrt(539) + (-3*sqrt(539))**2 - ((-2 + sqrt(539))**2 + 4). 35*sqrt(11) + 4305 Simplify ((2*sqrt(65) - sqrt(65))*-2 + sqrt(65))/(sqrt(5) - (sqrt(10)*-1)/sqrt(2)). -sqrt(13)/2 Simplify sqrt(12)/sqrt(4)*4 + (-3*sqrt(3))**2*2. 4*sqrt(3) + 54 Simplify (-5*(sqrt(3072) - (-1 + sqrt(3072))))**2. 25 Simplify -6*(2*sqrt(70)*2)/(4*(sqrt(30)/sqrt(3) + sqrt(10))). -3*sqrt(7) Simplify sqrt(320) - (sqrt(320) + (1 + -1 + sqrt(320))**2). -320 Simplify 5 + 4 + 1 + sqrt(13) + sqrt(13). 2*sqrt(13) + 10 Simplify (-2*sqrt(6000))/sqrt(12). -20*sqrt(5) Simplify -6*(2 + ((2*sqrt(171))**2 - sqrt(171)) + sqrt(171)). -4116 Simplify (-1*-1*sqrt(187))/(sqrt(33)/(sqrt(9)/sqrt(3))). sqrt(17) Simplify -5*sqrt(117)*6*3. -270*sqrt(13) Simplify (3*(sqrt(121) - ((sqrt(121)*-1 - sqrt(121)) + sqrt(121) + sqrt(121))))/(-1*sqrt(176)). -3*sqrt(11)/4 Simplify (1 + sqrt(128) - sqrt(128) - (5 + sqrt(2)*-2))**2 + -2. -16*sqrt(2) + 22 Simplify 1 + sqrt(119)/(1*sqrt(7)). 1 + sqrt(17) Simplify (6*(-2 + sqrt(2) + (sqrt(2) - ((sqrt(2) - (1 + sqrt(2)*-1)) + sqrt(2)))))**2. 72*sqrt(2) + 108 Simplify sqrt(34)/(sqrt(250)/sqrt(5)). sqrt(17)/5 Simplify sqrt(153)*-1 + 4 + sqrt(51)/sqrt(3) + (sqrt(425) + 2*sqrt(425) + 3)**2. 88*sqrt(17) + 3838 Simplify (1 + sqrt(50) + sqrt(150)/sqrt(3) + 5)**2. 120*sqrt(2) + 236 Simplify 4 + (sqrt(3) + 0)**2 + 1*sqrt(18)/sqrt(6). sqrt(3) + 7 Simplify ((sqrt(72)*2)/sqrt(3))/((-1*sqrt(8) - sqrt(8))*2). -sqrt(3)/2 Simplify 3*(-2 + sqrt(637)) - (sqrt(637) + -3 + -2 + sqrt(637))**2. -2579 + 161*sqrt(13) Simplify sqrt(200) + 2*sqrt(200) + -4 + 4*-3*sqrt(200). -90*sqrt(2) - 4 Simplify (sqrt(1300) - sqrt(1300)*2)*-3. 30*sqrt(13) Simplify (sqrt(252) + 0 + sqrt(252) + -1)**2. -24*sqrt(7) + 1009 Simplify ((sqrt(80) - (1 + sqrt(80) + -3)) + -1)**2. 1 Simplify (-3 + 1*sqrt(2057))**2 - (3 + sqrt(2057) + 1). -77*sqrt(17) + 2062 Simplify (sqrt(84) + 1*sqrt(84) - sqrt(84))/sqrt(3)*3. 6*sqrt(7) Simplify (5*(1*sqrt(121) - sqrt(121)) + sqrt(121))/(sqrt(396) + sqrt(396)*2). sqrt(11)/18 Simplify (sqrt(450)*2*3)/(2*sqrt(250) - sqrt(250) - sqrt(250) - sqrt(250)). -18*sqrt(5)/5 Simplify (sqrt(300) + (sqrt(300) - (sqrt(300) - ((sqrt(300) - 3*sqrt(300)) + sqrt(300)))) - sqrt(300))/(sqrt(600) + sqrt(6)). -5*sqrt(2)/11 Simplify ((sqrt(832)*-1 + sqrt(832))*5 - sqrt(832) - (-2 + -1 + sqrt(832))) + -4. -16*sqrt(13) - 1 Simplify (sqrt(125) + -2 - sqrt(10)/sqrt(8))**2. -18*sqrt(5) + 421/4 Simplify -5 + (sqrt(117) + -3 - sqrt(117)) + 0. -8 Simplify ((sqrt(125) + sqrt(125) + 0 - sqrt(125)) + (sqrt(35) + sqrt(140))/sqrt(7))**2. 320 Simplify ((sqrt(605) + 1 - (-1*sqrt(80) - sqrt(5))) + -3)**2. -64*sqrt(5) + 1284 Simplify sqrt(22)/((sqrt(4)*1)/sqrt(2)). sqrt(11) Simplify (sqrt(2299)*-1 + -2 + (sqrt(19) - (-2 + sqrt(19))))**2. 2299 Simplify sqrt(8)/(sqrt(48)/(sqrt(36)/sqrt(3))). sqrt(2) Simplify (4*(2*sqrt(110) - sqrt(110)))/((-2*sqrt(80))/sqrt(8) - sqrt(10)). -4*sqrt(11)/3 Simplify 1 + 2*(1*sqrt(30)*-1)/sqrt(6). -2*sqrt(5) + 1 Simplify ((-1*sqrt(20)/sqrt(4) - (sqrt(5) - -2*sqrt(45))) + 1 + sqrt(180)/sqrt(4))**2. -10*sqrt(5) + 126 Simplify (sqrt(35) + (-1*sqrt(560) - sqrt(560) - sqrt(560)))/(sqrt(847) + sqrt(847) + sqrt(847)*-1) + 2. -sqrt(5) + 2 Simplify (sqrt(320) + -2*sqrt(320))**2 + (sqrt(35)/sqrt(112))**2 + 4. 5189/16 Simplify 6*(sqrt(76) + -3) + sqrt(76) + sqrt(76) - 1*(-1 + sqrt(76))**2. -95 + 20*sqrt(19) Simplify ((sqrt(21)/sqrt(7)*4 - sqrt(3)) + sqrt(3))**2 + (sqrt(3)*-1)**2 + 4. 55 Simplify 6*(3 + (sqrt(2)*1 - sqrt(2))). 18 Simplify (3*(sqrt(99) + sqrt(99)*-2))/(sqrt(72)/sqrt(128)). -12*sqrt(11) Simplify (sqrt(15)/(sqrt(21)/(4*sqrt(7))))**2 + -1. 79 Simplify (2 + -3*sqrt(448))**2. -96*sqrt(7) + 4036 Simplify (sqrt(1800)*-1 - sqrt(50))/(sqrt(810) - ((sqrt(810)*-3 - sqrt(810)) + sqrt(810))). -7*sqrt(5)/36 Simplify (sqrt(85) + 4*-2*sqrt(85))/(sqrt(5) - sqrt(35)/(sqrt(7)*-1)). -7*sqrt(17)/2 Simplify -6*((sqrt(126) - sqrt(126)*1)/sqrt(3))/sqrt(6). 0 Simplify ((sqrt(66) - (sqrt(66)*1 + sqrt(66)))*-6)/(sqrt(54) + (sqrt(54) + -2*sqrt(54) - sqrt(54))). -2*sqrt(11) Simplify (-1*sqrt(612)*3 + 2)**2. -72*sqrt(17) + 5512 Simplify (3 + sqrt(2736) - sqrt(2736)) + -2 + 1. 2 Simplify -6*sqrt(128)*2. -96*sqrt(2) Simplify 3*(sqrt(4)/(sqrt(4)/sqrt(2)) + -5*sqrt(18)). -42*sqrt(2) Simplify (sqrt(33)/sqrt(3)*3)**2*6*-3. -1782 Simplify -3 + ((1 + (sqrt(200) - -2*sqrt(200)) + sqrt(200))*-6)**2. 2880*sqrt(2) + 115233 Simplify sqrt(11)*-1 + -1 - -2*sqrt(1100). -1 + 19*sqrt(11) Simplify (-5*(sqrt(68) + sqrt(17) + sqrt(17)) - (sqrt(272) + 3))**2. 144*sqrt(17) + 9801 Simplify sqrt(28) + -4 + sqrt(1008) + (sqrt(1008) + 0)**2 + sqrt(1008) + sqrt(7). 27*sqrt(7) + 1004 Simplify ((sqrt(117)*2)**2 + -2*sqrt(117))*6. -36*sqrt(13) + 2808 Simplify -4 + 2*sqrt(2) + sqrt(8)/sqrt(4) + -3. -7 + 3*sqrt(2) Simplify (sqrt(756) + (sqrt(756) + (2*sqrt(756) + sqrt(756) - sqrt(756)) + sqrt(756) + sqrt(756) - sqrt(756)))/((3*sqrt(84))/sqrt(12)). 10*sqrt(3) Simplify 2 + sqrt(55)/sqrt(5) + 3 + 2. sqrt(11) + 7 Simplify ((-1*sqrt(108) - sqrt(108))/sqrt(9))/(sqrt(6) - sqrt(384)*2). 2*sqrt(2)/15 Simplify (-1*(0 + sqrt(5))*-6)**2. 180 Simplify -3 + sqrt(684) + (5 + sqrt(95)/sqrt(5))**2. 41 + 16*sqrt(19) Simplify (sqrt(1260)*2 + sqrt(35))/(sqrt(7) + (sqrt(7) - -1*sqrt(343))). 13*sqrt(5)/9 Simplify ((sqrt(208) - (-4 + 1 + sqrt(208)) - sqrt(208)) + 5)**2 + 2. -64*sqrt(13) + 274 Simplify ((-6*sqrt(153)*1)/(-3*1*sqrt(9)))**2. 68 Simplify 6*(sqrt(304) + sqrt(304)*1). 48*sqrt(19) Simplify (1 + sqrt(147) + 5 - 1*sqrt(147)*4)**2. -252*sqrt(3) + 1359 Simplify -3*(-1*sqrt(315))/sqrt(7). 9*sqrt(5) Simplify (sqrt(315)/sqrt(7))/sqrt(9) - -4*sqrt(405). 37*sqrt(5) Simplify (0 + sqrt(243) + 0 - (sqrt(243) - 2*sqrt(243)*-1))**2. 972 Simplify (((2*sqrt(85))/sqrt(5) + 2)*-1)**2. 8*sqrt(17) + 72 Simplify 2 + sqrt(117) + 1 + (sqrt(117) - ((sqrt(117) + -2*sqrt(117))**2 + 5)) + 2. -117 + 6*sqrt(13) Simplify -1 + (-1 + sqrt(1280))**2. -32*sqrt(5) + 1280 Simplify ((sqrt(28)*2)/sqrt(4) - (-1*sqrt(7) + 5))**2. -30*sqrt(7) + 88 Simplify (0 + sqrt(1331))*-3 - -2*(sqrt(1331) + 1). -11*sqrt(11) + 2 Simplify -2*(-2*sqrt(1300) + sqrt(13)). 38*sqrt(13) Simplify (sqrt(171)*-4*-6*1)**2. 98496 Simplify -1 + (0 + sqrt(1700))*-3. -30*sqrt(17) - 1 Simplify (sqrt(200)/(sqrt(25)/sqrt(5)))/sqrt(8). sqrt(5) Simplify (sqrt(704) + -1)*2 - sqrt(704). -2 + 8*sqrt(11) Simplify (1*(5*sqrt(44) - -1*sqrt(99)))**2. 1859 Simplify ((sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (sqrt(2736) - -1*sqrt(2736)*-4)))))**2 - sqrt(2736)) + 3 + -4. -12*sqrt(19) + 24623 Simplify 6*((0 + sqrt(5) + sqrt(5))**2 + 0)*-6. -720 Simplify (3*(sqrt(20) - 3*sqrt(20)))/sqrt(10). -6*sqrt(2) Simplify ((sqrt(5) + sqrt(15)/sqrt(3))**2*-2 + sqrt(5))*5. -200 + 5*s
{ "pile_set_name": "DM Mathematics" }
. 42 Solve 895*n - 1306*n + 29191 = 2546*n - 204412 for n. 79 Solve 1902 + 48 = -16606*r + 16756*r for r. 13 Solve -41490261 = -8*f - 41489749 for f. 64 Solve 104 - 68 = -78*m + 534 + 126 for m. 8 Solve -5364*g - 24744 = 44988 for g. -13 Solve -707*y + 5966 - 21990 = -0*y + 20033 for y. -51 Solve -7072 + 10484 = 295*k - 10453 for k. 47 Solve -1381*c = 6025*c + 294*c - 400400 for c. 52 Solve 737*h - 15444 - 2164 = 3491 + 3222 for h. 33 Solve 31*q - 96292 = -96230 for q. 2 Solve 50497 + 127155 = 1931*m for m. 92 Solve -75952 = -48419*h + 46803*h for h. 47 Solve 1858*r - 1771*r - 45 + 2655 = 0 for r. -30 Solve 111*s - 1172 = 138*s - 38 for s. -42 Solve -124408 = 818*f + 2185*f - 43327 for f. -27 Solve 0 = -107*t + 146*t + 1207 - 1698 - 2902 for t. 87 Solve -88*k + 6*k + 36504 = 269*k for k. 104 Solve -952*p - 16480 = 1110*p + 1089*p - 3357*p for p. 80 Solve -14544*x + 14585*x + 441 + 1486 = 0 for x. -47 Solve 433*r - 1417 + 689 = 669 + 2500 for r. 9 Solve 1681 = -59*x + 321*x + 137*x + 30808 for x. -73 Solve -22*x + 149 = -10*x - 211 for x. 30 Solve 79*i + 65*i - 157*i = -64*i - 612 for i. -12 Solve -451*u + 56476 - 2811 = -72*u + 5911 for u. 126 Solve 2297*a + 4740*a + 817113 = -5134*a + 281589 for a. -44 Solve -80*u - 8172 = 374*u for u. -18 Solve 120*d - 96096 = -102576 for d. -54 Solve -32709 = 665*h + 291*h - 5941 for h. -28 Solve 267*a = 1342*a + 113950 for a. -106 Solve 24127*h - 24199*h - 2281 = 3551 for h. -81 Solve -30*k - 60*k + 1127 = -9*k - 7 for k. 14 Solve 0 = -212*i + 15967 + 7353 for i. 110 Solve -161*v = -62220 + 60771 for v. 9 Solve 374*s = -810*s - 34336 for s. -29 Solve 980*x + 1057*x + 5304 = 2141*x for x. 51 Solve -1935*s - 42474 - 13149 = 37257 for s. -48 Solve 1551*t + 1084*t - 443*t = -473*t - 7995 for t. -3 Solve 919*x - 1365*x = -15610 for x. 35 Solve -417810 = 4001*q + 66311 for q. -121 Solve 47*w + 23*w = -61*w + 4192 for w. 32 Solve -549*o = 4428 + 12042 for o. -30 Solve -412*x + 5220 = 12018 + 3276 + 6818 for x. -41 Solve 6009 = 747*x - 6026 - 1418 - 3728 for x. 23 Solve 139*f + 44836 = 2177*f for f. 22 Solve 0 = -25883572*i + 25883718*i - 16060 for i. 110 Solve 1535*y - 30900 - 32279 + 21734 = 0 for y. 27 Solve 0 = 34*z + 155*z + 89*z + 32*z - 19530 for z. 63 Solve 2415*s = -3285*s + 228000 for s. 40 Solve -160 = -373*h + 478*h + 1199 - 204 for h. -11 Solve -106*x + 189*x + 193*x + 125 = -6775 for x. -25 Solve -57*d - 638*d = 77*d - 20072 for d. 26 Solve 73*i + 154*i = 58*i + 6*i - 5868 for i. -36 Solve 618*n + 1092 - 2151 = 2031 for n. 5 Solve -2*g + 42176 - 41294 = 19*g for g. 42 Solve 31711*h = 33408*h - 61092 for h. 36 Solve -91*z + 53*z - 32*z = 58*z - 10496 for z. 82 Solve -2644*c = -2734*c + 3600 for c. 40 Solve -1484*s + 4487 = -43001 for s. 32 Solve 510*s + 39*s = -24705 for s. -45 Solve -12774 = -1276*k + 8918 for k. 17 Solve -158*d - 999 - 6917 - 599 = 175 for d. -55 Solve -1176*w - 1075*w + 17489 + 1933 = -9841 for w. 13 Solve -17*r + 120*r + 5*r = 5076 for r. 47 Solve 40*h + 675 = -8*h - 1101 for h. -37 Solve 0 = 59*i + 2316 - 428 for i. -32 Solve 353286*k - 353297*k = -44 for k. 4 Solve 0 = 329*m + 2370*m - 147*m + 2075*m + 397922 for m. -86 Solve 312*s + 563*s - 137268 = -799*s for s. 82 Solve -1192 = -261*i - 387*i + 24080 for i. 39 Solve -98*n + 61*n - 73*n + 26536 = 104*n for n. 124 Solve -317118*p = -317403*p + 12825 for p. 45 Solve -158*i - 2453 - 678 - 2241 = 0 for i. -34 Solve 1168*c = 831*c + 5309*c - 248600 for c. 50 Solve -2039*w - 46957 + 36024 = -164022 - 65084 for w. 107 Solve 29*c - 124*c + 38*c = -1539 for c. 27 Solve 12330 + 20149 = 2067*l + 52395 + 62764 for l. -40 Solve -3496 + 1032 = -99*x + 1397 for x. 39 Solve -3818*i = -72078 - 19554 for i. 24 Solve 1813*k + 1771*k + 60903 = 4187*k for k. 101 Solve 3170*x - 1576*x = -1421*x for x. 0 Solve 9309*j + 32*j - 1057362 = -169967 for j. 95 Solve 1472*d - 17976 = 188*d for d. 14 Solve 320*u = -1054*u - 63204 for u. -46 Solve 6*l + 26631 + 32769 = 438*l + 1053*l for l. 40 Solve -3625*s = 7337*s - 175392 for s. 16 Solve 225*m + 1615 = -156*m + 476*m for m. 17 Solve -39*v - 9381 = -148*v - 114*v - 15 for v. 42 Solve 0 = 35*j + 11*j + 68*j - 684 for j. 6 Solve -1359*j - 4929 = -22596 for j. 13 Solve 714818*p - 2594 = 714884*p - 284 for p. -35 Solve -93*r = -119*r - 147*r - 6401 for r. -37 Solve -65*s + 120169 = 1029*s - 22051 for s. 130 Solve -5711809*y = -5711693*y + 348 for y. -3 Solve 82*a + 24*a + 178*a = a + 566 for a. 2 Solve -1175181*s + 1175544*s = -27951 for s. -77 Solve 43*g - 455*g = -2122*g + 57332 + 33298 for g. 53 Solve 3633 = -6625*n + 7929 + 8954 for n. 2 Solve 791 + 618 = 249*f - 583 for f. 8 Solve 848 - 1971 - 6989 = -1059*k + 360 for k. 8 Solve 697310 = 348*r + 701138 for r. -11 Solve 0 = 960*c - 688*c - 3536 for c. 13 Solve -4730*c - 214725 + 823445 = -3986*c - 15962*c for c. -40 Solve 147*r - 615 = 5*r - 205*r + 5284 for r. 17 Solve -120 = -323*g + 125*g + 151*g + 162 for g. 6 Solve 2001*m + 2641*m + 85483 + 129631 = -165530 for m. -82 Solve -36 = 121*a - 18*a - 99*a for a. -9 Solve -181*s + 19386 = 20653 for s. -7 Solve -600*i - 34*i - 54345 = 2989*i for i. -15 Solve 147*x + 132*x - 6685 = 88*x for x. 35 Solve -142570 - 86512 = 16363*r for r. -14 Solve 278*b + 119*b + 111*b + 87320 = -672*b for b. -74 Solve -594*k - 17559 = 1319*k + 524*k + 162779 for k. -74 Solve -956*t - 795*t - 34200 = -165*t + 124*t for t. -20 Solve -8794 = 57*w + 64*w - 15086 for w. 52 Solve -255*r - 229*r = 1874 + 19422 for r. -44 Solve -758*r + 114*r - 2855 = 76*r - 28055 for r. 35 Solve -7212428*y + 11934 = -7212649*y for y. -54 Solve -16951 - 1854 = 1038*z - 4273 for z. -14 Solve -13079*u + 407626 = -129*u - 2223*u for u. 38 Solve -10153 = 1073*i - 27619 - 20089 for i. 35 Solve -460*f + 37224 = -109*f + 92*f + 1108*f for f. 24 Solve 78*z - 53*z - 25 = 0 for z. 1 Solve 25*f - 519*f - 41360 = -24*f for f. -88 Solve -4846526*l + 4846786*l = -10400 for l. -40 Solve -70209 + 39147 = 1332*g + 68838 for g. -75 Solve -1150*l - 69552 = 40848 for l. -96 Solve 2551*n + 96155 - 57890 = 0 for n. -15 Solve -651*s - 37312 = -1355*s for s. 53 Solve 758 = -229*u - 400 + 19 - 464 for u. -7 Solve -49*q - 33784 = 30741 - 60017 for q. -92 Solve -2326*s + 1908 = -2379*s for s. -36 Solve -1740*p + 24945 = 19725 for p. 3 Solve -44654*a = -44663*a - 315 for a. -35 Solve -44*w - 7320 = 263*w + 18161 for w. -83 Solve 727*l + 1773*l - 107500 = 0 for l. 43 Solve -880*g - 8931 = 9531 + 14098 for g. -37 Solve 281*y + 184 = -281 - 2114 - 5008 for y. -27 Solve -404*l + 782 + 3191 = -4511 for l. 21 Solve -200*s - 245*s + 2848 + 24973 = 4236 for s. 53 Solve -126257 = -855*p - 104882 for p. 25 Solve -43*u + 404 = -19*u + 16*u - 276 for u. 17 Solve -2919*x + 21630 = 34711 - 91096 - 53340 for x. 45 Solve -4584263*j = -4583792*j - 35325 for j. 75 Solve 4481 = 87*j + 914 for j. 41 Solve 1750*d + 33423 = 23289 + 111634 for d. 58 Solve 136 = 31*u + 43 + 217 for u. -4 Solve 8451 + 10925 + 3829 = 1785*w for w. 13 Solve 37800206 = -124*r + 37801942 for r. 14 Solve -473*y + 178887 + 165465 = 2059*y for y. 136 Solve 0 = 7431*k - 24892 - 86573 for k. 15 Solve 21*x + 1159958 = -19*x + 1160838 for x. 22 Solve -8549*f + 16924*f + 400 = 8520*f - 2645 for f. 21 Solve -635*v - 1287*v - 1354*v - 37584 = -144*v for v. -12 Solve 1453 = 69*n - 552 + 280 for n. 25 Solve -33382 = 1904*q + 1789*q + 73715 for q. -29 Solve 120*n = -1151 - 2329 for n. -29 Solve -2040*p - 2812*p + 1355*p + 24479 = 0 for p. 7 Solve 75465 - 73449 = 21*c for c. 96 Solve -10598 = -16*c - 10886 for c. -18 Solve 14574*x - 196302 - 62604 = 54309 + 153153 for x. 32 Solve -5715*h + 2182*h + 197848 = 0 for h. 56 Solve -594*v + 7545 = 159*v + 22068 + 14844 for v. -39 Solve -4*f - 251*f = -22*f + 9703 - 150 for f. -41 Solve 44573 = -689*z - 335*z + 183*z for z. -53 Solve -28*q = -57*q + 41*q - 264 for q. 22 Solve 8*q - 3*q + 531 = 33*q + 31*q for q. 9 Solve 265*a - 47250 = 160*a - 1348*a - 297*a for a. 27 Solve 467*c + 8880 = -650*c - 503*c + 510*c for c. -8 Solve 231 - 379 - 109 = 132*k + 931 for k. -9 Solve -293*q - 11354 + 2222 = 11378 for q. -70 Solve -400*s - 12725 + 611 = 1619*s for s. -6 Solve 700*u + 135240 = -1946*u + 175*u - 289*u for u. -49 Solve -7*k = 78*k + 60*k - 5800 for k. 40 Solve -7548*v + 3803*v + 3786*v = 1394
{ "pile_set_name": "DM Mathematics" }
? 131 In base 16, what is 3fb + -5? 3f6 In base 10, what is 11477 - -4? 11481 In base 8, what is -2 + 127? 125 In base 5, what is 14 - 1044? -1030 In base 2, what is -1 - -11111000? 11110111 In base 15, what is -45 - 12? -57 In base 10, what is 2122 + 5? 2127 In base 12, what is 170 + -2? 16a In base 8, what is -5 + -55? -62 In base 3, what is 112 - 11? 101 In base 14, what is -126 - -9? -11b In base 5, what is 0 + -24343? -24343 In base 10, what is 46072 + 2? 46074 In base 3, what is -1 + -112? -120 In base 3, what is 1001 + -102? 122 In base 2, what is 11010 + -110? 10100 In base 6, what is 1 - -22? 23 In base 2, what is 11100 + -100101? -1001 In base 15, what is 187 + 4? 18b In base 13, what is 31 - -69? 9a In base 10, what is 44 + 3? 47 In base 10, what is 5 - 1211? -1206 In base 10, what is 54 - 0? 54 In base 6, what is 31 - -3244? 3315 In base 6, what is -200 + -20? -220 In base 8, what is -5 + -3645? -3652 In base 11, what is -14 - -4? -10 In base 5, what is -4 + 420? 411 In base 13, what is a - -213? 220 In base 11, what is -34 - -19? -16 In base 4, what is 2 + 10033? 10101 In base 15, what is 2a1 + -2? 29e In base 6, what is -50 - 322? -412 In base 14, what is 57 - 107? -90 In base 14, what is 5 + -33? -2c In base 9, what is 3 + -64? -61 In base 9, what is -5867 - -2? -5865 In base 3, what is -112100 + -1012? -120112 In base 6, what is -5 - 55345? -55354 In base 4, what is 0 - 100023? -100023 In base 13, what is -14 - -414? 400 In base 15, what is 3 + -109? -106 In base 7, what is 10 + -204? -164 In base 5, what is -2 - -12? 10 In base 12, what is 3 + -221? -21a In base 4, what is 12 + 11? 23 In base 9, what is 6468 + 1? 6470 In base 10, what is -20 - -13? -7 In base 6, what is 142 - -53? 235 In base 13, what is 18 - 68? -50 In base 10, what is -458 + 54? -404 In base 9, what is 2 - -15? 17 In base 10, what is 4 + 49? 53 In base 5, what is -241 - -20? -221 In base 4, what is -12 - 3101? -3113 In base 8, what is -2 - 12? -14 In base 12, what is -24 - 1b? -43 In base 8, what is 7 + -23? -14 In base 10, what is -214 + -2? -216 In base 7, what is -600 - -3? -564 In base 2, what is 1001110 + 10100? 1100010 In base 13, what is 6c9 + -4? 6c5 In base 9, what is 148 + -46? 102 In base 2, what is -10000010 + -10011? -10010101 In base 5, what is 14132 + -2? 14130 In base 10, what is -1110 - 4? -1114 In base 8, what is -23 - -1? -22 In base 5, what is -2322 - 4? -2331 In base 14, what is -4 + 29? 25 In base 9, what is 4 + 2015? 2020 In base 4, what is 12 + 12? 30 In base 13, what is 4 - -11? 15 In base 5, what is 1 - 304? -303 In base 13, what is -8 + 16? b In base 9, what is 17 + 27? 45 In base 8, what is 105 + 4? 111 In base 8, what is -3 - -1005? 1002 In base 13, what is -5 + 1? -4 In base 9, what is -66 + 23? -43 In base 8, what is -1 - -62? 61 In base 12, what is 10 - -6? 16 In base 10, what is -15 - -20? 5 In base 12, what is 127 + 6? 131 In base 11, what is -2645 + -4? -2649 In base 7, what is -1 + -26? -30 In base 8, what is 1 - 576? -575 In base 12, what is -3 + 14? 11 In base 15, what is 1 - -56? 57 In base 8, what is 16 + 15? 33 In base 16, what is 1c + 12? 2e In base 15, what is -968 + 2? -966 In base 6, what is 35 - -255? 334 In base 10, what is -3 - -4695? 4692 In base 8, what is -624 + -4? -630 In base 6, what is 2101 + 21? 2122 In base 9, what is -132 - -2? -130 In base 3, what is -11 - -120212? 120201 In base 3, what is -200111 + -10? -200121 In base 2, what is 10011010 + -10? 10011000 In base 5, what is 2 + -132? -130 In base 15, what is -24 + d? -16 In base 11, what is 0 + aa? aa In base 12, what is 3 + 43? 46 In base 4, what is 11 + -1022? -1011 In base 13, what is -3 - 30? -33 In base 13, what is -28 - -3? -25 In base 3, what is 10021120 - -10? 10021200 In base 4, what is 103 - 221? -112 In base 11, what is 1 - 193? -192 In base 11, what is -49 - 16? -64 In base 8, what is -1 + 1620? 1617 In base 5, what is -1 + 20? 14 In base 2, what is 0 - 111010? -111010 In base 11, what is -1668 + 2? -1666 In base 15, what is 504 + -2? 502 In base 14, what is -79 + 3? -76 In base 15, what is 4 + -376? -372 In base 13, what is b - -31? 3c In base 14, what is -6 + 27c? 276 In base 13, what is -2 - 2462? -2464 In base 11, what is -4a + 5? -45 In base 4, what is 10 + -1322? -1312 In base 7, what is 5 - -56? 64 In base 13, what is 42 + 3? 45 In base 16, what is -22a - -4? -226 In base 5, what is -1320334 + 0? -1320334 In base 5, what is 40132 - 11? 40121 In base 7, what is 362 - 5? 354 In base 7, what is 1330 - -3? 1333 In base 9, what is -28 + -17? -46 In base 4, what is -12303 + 22? -12221 In base 13, what is -49 - 0? -49 In base 5, what is -410 + -4? -414 In base 9, what is -10 + -10? -20 In base 6, what is 44 - -113? 201 In base 12, what is 4 + -139? -135 In base 6, what is 3 - -1014? 1021 In base 8, what is -155 + -114? -271 In base 14, what is 4 + -3c? -38 In base 7, what is -6 - -6135? 6126 In base 6, what is 21153 + -5? 21144 In base 12, what is 12 + -3b? -29 In base 14, what is 2 + b21? b23 In base 3, what is -12 + 221? 202 In base 7, what is 631 - -13? 644 In base 8, what is 2 - -710? 712 In base 3, what is -21 - 2001120? -2001211 In base 12, what is 20 + 18? 38 In base 3, what is 20 + -211? -121 In base 13, what is -6c - 0? -6c In base 13, what is -81a - 3? -820 In base 12, what is -31 - 55? -86 In base 10, what is -2 + -376? -378 In base 10, what is -12 - -763? 751 In base 9, what is -30 + 0? -30 In base 4, what is -33 + -13? -112 In base 12, what is 3 - -100? 103 In base 16, what is 4 + -cd? -c9 In base 8, what is 0 + -1024? -1024 In base 11, what is -40 + 13? -28 In base 2, what is 10 + -1001101? -1001011 In base 6, what is 11 + -2125? -2114 In base 11, what is -383 + -2? -385 In base 8, what is -50 - -12? -36 In base 12, what is -88 + 17? -71 In base 4, what is 1 + 32210? 32211 In base 10, what is 636 - -2? 638 In base 12, what is -2 + 2b4? 2b2 In base 13, what is -11 + 12? 1 In base 3, what is -202 + -11011? -11220 In base 15, what is -36 + 0? -36 In base 14, what is -8 - 16d? -177 In base 2, what is -1000000101 - -1000? -111111101 In base 11, what is -4 - -a? 6 In base 6, what is -53 + 110? 13 In base 12, what is 61 + 3a? 9b In base 5, what is -1134 + -10? -1144 In base 9, what is -82 - 5? -87 In base 6, what is 1 + 1510? 1511 In base 5, what is 3 + -113? -110 In base 14, what is 3 + 8a? 8d In base 14, what is 11 - -1a9? 1ba In base 16, what is -5 - -12d? 128 In base 7, what is -1063 + 2? -1061 In base 7, what is -1161 + -4? -1165 In base 3, what is 221 - -10? 1001 In base 11, what is 1 - -80? 81 In base 6, what is 5 - 2? 3 In base 5, what is 2 - 1041? -1034 In base 16, what is 50a - 14? 4f6 In base 13, what is 5 - 1685? -1680 In base 10, what is 2 - -716? 718 In base 10, what is -4 + 39? 35 In base 15, what is -126 + 2? -124 In base 12, what is 1434 - -1? 1435 In base 8, what is -17362 - 1? -17363 In base 9, what is 4 - 7? -3 In base 5, what is -10 + 31? 21 In base 4, what is -13300 - 0? -13300 In base 12, what is -b3a6 - 1? -b3a7 In base 7, what is -41660 + 2? -41655 In base 3, what is -21 - -10012121? 10012100 In base 13, what is -2 + -c? -11 In base 16, what is 26 + 11? 37 In base 6, what is 110 - 112? -2 In base 10, what is 5 + -8? -3 In base 7, what is -645 - -1? -644 In base 6, what is -2 - -341? 335 In base 10, what is 4 + 10? 14 In base 14, what is -2 - 1ca? -1cc In base 7, what is 0 - 31? -31 In base 2, what is 101 - 1010? -101 In base 2, what is 111 + -111000? -110001 In base 8, what is -140 + -162? -322 In base 2, what is 11 + -10110? -10011 In base 15, what is 2 + -24? -22 In base 4, what is 111 + 212? 323 In base 5, what is 134 + 3? 142 In base 4, what is 10322222 - 11? 10322211 In base 11, what is -3 + 3529? 3526 In base 2, what is -1000011111 - 11? -1000100010 In base 15, what is -3 + 2d? 2a In base 7, what is 1 - -405? 406 In base 3, what is 11002 + 11? 11020 In base 11, what is -337 + 1? -336 In base 8, what is 0 + -152? -152 In base 6, what is 4 + 22? 30 In base 3, what is -1 - -100120? 100112 In base 8, what is -6 + -3462? -3470 In base 3, what is -10 + 20200? 20120 In base 9, what is 73 - 0? 73 In base 7, what is -1220 + -2? -1222 In base 3, what is -110102 + 1? -110101 In base 9, what is -5 + 36? 31
{ "pile_set_name": "DM Mathematics" }
8. Suppose 40 - 5 = 5*i. Calculate the remainder when i is divided by r. 3 Suppose 0 = -2*f - 5*u + 73, 2*f + 3*u = -2*f + 111. Let v(s) = s**2 - 9*s - 4. Let a be v(7). What is the remainder when f is divided by 4/a - 238/(-18)? 11 Suppose -c - 42 = 2*t + 33, -2*t - 4*c = 90. Suppose -3*q + 1 = 7. Calculate the remainder when 32 is divided by t/(-2) + 1/q. 15 Suppose n - 58 = -2*d, -3*d + 314 = 5*n - 5*d. Calculate the remainder when n is divided by 16. 14 Suppose -20 = 2*z - 6*z. Suppose -v = -z*m + 316, -4*v + 3*v + 62 = m. Calculate the remainder when m is divided by 16. 15 Let h = 3 - -4. Suppose m = q + 3, -h*m + 12 = -3*m - 2*q. Calculate the remainder when 7 is divided by m. 1 Suppose -66 = -5*q + 139. Calculate the remainder when q is divided by 15. 11 Let z = 20 - 22. Calculate the remainder when 31 is divided by 4/(-2 + z)*-11. 9 Let n = -9 - -12. Suppose 3*g = -5*q - 19, 6 + 3 = -n*g - 3*q. Calculate the remainder when 5 is divided by g. 1 Suppose -3*w + 2*p + p + 24 = 0, -w - 2*p = -5. Suppose 2*o + k - 5*k = 28, -3*k = -o + 9. What is the remainder when o/18*(15 - 0) is divided by w? 6 Suppose -87 = -w + 78. Let r = -114 + w. Suppose 5*b = -4*a + r + 26, a = -4*b + 22. Calculate the remainder when 53 is divided by a. 17 Let p = 73 + -54. What is the remainder when p is divided by 10? 9 Let x be 112/60 - 4/(-30). Suppose -x*r + 19 = -r. Calculate the remainder when 73 is divided by r. 16 Let q = 6 + -4. Suppose -5*r - 6 = c - 49, r = -3*c + 3. Calculate the remainder when r is divided by q. 1 Suppose -i - 3 = 5*s, 4*i + 9 = i - 2*s. What is the remainder when -1 + (0 - -2 - i) is divided by 2? 0 Let w(p) = p**2 - 2*p + 15. Let a be w(0). Let s = a + -10. What is the remainder when 19 is divided by s? 4 Let j(x) = x + 10. Let k(b) = -b - 5. Let p(n) = 3*j(n) + 5*k(n). Calculate the remainder when p(-9) is divided by (-186)/(-15) + (-2)/5. 11 Let k(t) = 12*t**3 - 2*t**2 + 2*t - 1. Suppose -4*u = -2*f - 18, 4*f - 9 = -u - 0. What is the remainder when 20 is divided by k(f)? 9 Suppose -792 = -0*n - 12*n. Let k = 47 + -24. What is the remainder when n is divided by k? 20 Let s = 6 + -2. Suppose -s*o + 31 = -21. What is the remainder when (1 - 2)*(-74)/2 is divided by o? 11 Let n(t) be the second derivative of t**4/6 + t**3/3 + 3*t**2/2 + 2*t. Calculate the remainder when 19 is divided by n(-2). 5 Suppose 0 = 2*v + 5*g - 20, 4*v - 4*g = -v + 83. Suppose -v = -2*c + 21. What is the remainder when c is divided by 10? 8 Suppose 30 + 44 = -4*t + 2*d, 4*t + 4*d = -104. Calculate the remainder when 19 is divided by (-204)/t - 4/(-14). 9 Suppose n - 17 = 1. Let s(b) = 5*b + 14. Calculate the remainder when s(4) is divided by n. 16 Suppose 1 - 57 = -4*w. Let j = -14 + 83. What is the remainder when j is divided by w? 13 Suppose -3*d = -3*m + 18, -6 = -2*d - d. Let x(z) = z**3 + 5*z**2 - 5*z + 4. What is the remainder when x(-5) is divided by m? 5 Suppose 5*l - 10 = 10. Suppose c - 10 + l = 0. What is the remainder when 10 is divided by c? 4 Suppose -4*w + 46 = 2*i - 6*w, 0 = -i - 4*w + 18. What is the remainder when 85 is divided by i? 19 Suppose 8*x - 5*x = 24. Suppose 5*a = -3 + x. Calculate the remainder when a is divided by 1. 0 Suppose -4*k = -28 + 8. Suppose -k*m + 15 = -3*c - 194, 182 = 4*m + 5*c. What is the remainder when m is divided by 15? 13 Let s(j) = 3*j - 1. Let d be s(1). Suppose -z = d*z - 78. What is the remainder when z is divided by 14? 12 Let a(w) = w**3 + 4*w**2 + 4*w + 3. Let y = 4 + -7. Let n be a(y). Suppose n = -3*k - k + 140. Calculate the remainder when k is divided by 12. 11 Suppose -2 = -2*u + 8. Let r = 23 - 13. Suppose 3*a - r = -1. Calculate the remainder when u is divided by a. 2 Let y(l) = -l**2 - l. Let v be y(-2). Let j(u) = -u**3 - 2*u**2 - u + 1. Calculate the remainder when j(v) is divided by 1. 0 Let x be (-64)/(-34) - 6/(-51). Suppose 3*g + c - 2*c - 96 = 0, -5*c = -x*g + 77. What is the remainder when g is divided by 17? 14 Let f(d) = -6 - 5*d + 5*d + d**2. Calculate the remainder when f(-6) is divided by 8. 6 Let o be 322/10 + (-2)/10. Let q = o - 16. Suppose 0*k = -k + q. What is the remainder when k is divided by 6? 4 Let h be (-1)/(-3) + (-91)/21. Calculate the remainder when 19 is divided by h/6 - (-68)/12. 4 Let j = 109 - 93. What is the remainder when 23 is divided by j? 7 Suppose 3*h - 23 = l, 4*h + 9*l = 4*l + 37. What is the remainder when 13 is divided by h? 5 Suppose -4*m = -2*l - 54, -31 = l + 2*m - 8. Let c = 30 + l. Calculate the remainder when 27 is divided by c. 2 Let o = 229 + -188. Suppose -i + 3*i = 10. Suppose -s + 3*g = 4*g - 19, 4*g = i*s - 50. Calculate the remainder when o is divided by s. 13 Let g(s) = -s. Let c(z) = -3*z - 4. Let u(a) = c(a) + 4*g(a). Calculate the remainder when 94 is divided by u(-4). 22 Let g(z) = -z**3 + 6*z**2 + 4*z + 6. Let j be g(5). Suppose 0 = -5*q + j + 19. Let i = -23 - -50. Calculate the remainder when i is divided by q. 13 Let j(n) = -n**2 - 11*n - 11 + 0*n**2 + 10. Suppose -9 = -2*g - g - 2*q, 0 = q + 3. What is the remainder when j(-10) is divided by g? 4 Let a = -59 + 88. What is the remainder when a is divided by 6? 5 Let u = -107 + 160. What is the remainder when u is divided by 18? 17 Let z be (8/(-10))/(2/5). Calculate the remainder when 18 is divided by (4/10)/(z/(-50)). 8 Let j(o) = o**3 + 5*o**2 - o - 3. Let f be j(-5). Let x(a) = 3*a - 4. Let r be x(3). Suppose -f*t = -r*t + 42. What is the remainder when 40 is divided by t? 12 Let v = -45 + 76. Calculate the remainder when v is divided by 9 - 2 - (1 + -2). 7 Suppose -2 = 4*b - 10. Suppose -y = -b*y - 4*z + 25, 0 = z - 5. Suppose -28 = -2*p - 2. Calculate the remainder when p is divided by y. 3 Suppose -7*r + 34 = -36. What is the remainder when 69 is divided by r? 9 Let b be -7*(-3 - 228/28). Let o = -9 + b. Calculate the remainder when o is divided by 24. 21 Suppose 0 = 3*h + 4*h - 21. What is the remainder when 10 is divided by h? 1 Suppose -4*k - 89 = -5*x, 2*k = -2*x - 0*x + 32. What is the remainder when 64 is divided by x? 13 Suppose 2*p = p - 3*f + 55, f = -5*p + 261. Let a(s) = -s**3 + 14*s**2 - 12*s - 9. Let m be a(13). What is the remainder when p is divided by m*9*(-1)/(-2)? 16 What is the remainder when (110 - 0)*(30/12)/5 is divided by 7? 6 Let f(z) = z + 11. Let x(s) = s + 3. Calculate the remainder when f(-6) is divided by x(0). 2 Suppose 0 = -3*a - 0*a + 15. Suppose -6*r + 56 = -2*r. What is the remainder when r is divided by a? 4 Suppose 3*v - 21 + 15 = 0. Suppose -3*j + 71 - v = 0. What is the remainder when j is divided by 8? 7 Let g = -12 - -30. What is the remainder when g is divided by 7? 4 Let v(a) = a + 17. Calculate the remainder when v(-13) is divided by 30/(-25)*(-5)/2. 1 Let b = -7 + 10. Suppose -b*a + 145 = -4*c, -c - 210 = -4*a + c. What is the remainder when a is divided by 14? 13 Suppose 8*c = 12*c - 76. Calculate the remainder when c is divided by 4. 3 Suppose 2*r - 46 = -4*s, 0 = -3*r + 2*s - 8 + 37. Suppose -r = -4*b + 7. Calculate the remainder when 12 is divided by b. 2 Let c be 56 - 3/((-3)/2). Let f = c - 24. What is the remainder when f is divided by 12? 10 Suppose -2*o + 128 = w, 5*w - 640 = -0*w - 4*o. What is the remainder when w is divided by 33? 29 Let g(q) = 2*q - 13. Let k(c) = 3*c - 19. Let i(z) = 7*g(z) - 5*k(z). Let s = -40 + 36. Calculate the remainder when i(s) is divided by 5. 3 Suppose -4 + 7 = d. Let s(q) = 7*q + q + 0*q - 4. Calculate the remainder when 38 is divided by s(d). 18 Let o(p) = -p**3 + 5*p**2 + 7*p - 5. Let u be o(6). Suppose 0 = -q - u + 7. Calculate the remainder when 11 is divided by q. 5 Let o be (-3)/2 - 46/(-4). Calculate the remainder when o/15*57/2 is divided by 1/(-2) - 45/(-6). 5 Suppose 2*j - 153 - 115 = 0. What is the remainder when j is divided by 45? 44 Let j(s) = -s**2 - s - 9. Let q be j(0). What is the remainder when 16 is divided by (q/2)/(6/(-8))? 4 Let m be 3/((-18)/(-4))*30. What is the remainder when 39 is divided by m/(-3)*(-24)/16? 9 Suppose 82 = 3*x - x. Calculate the remainder when x is divided by 16. 9 Let u(v) = -v - 1. Let j(d) = -d + 5. Let b be j(7). Let k be u(b). Suppose 0 = 2*s - 21 - k. What is the remainder when s is divided by 4? 3 What is the remainder when (-25)/5*(-2)/2 is
{ "pile_set_name": "DM Mathematics" }
al places? 1.3548 Round -6409284.33 to the nearest 1000. -6409000 Round -518830.573 to the nearest 10000. -520000 Round -20114.43779 to the nearest one hundred. -20100 Round -0.00968068468 to 6 decimal places. -0.009681 What is 12225.8622 rounded to the nearest 10? 12230 Round -430.2433286 to the nearest 10. -430 What is 3.23150024 rounded to one dp? 3.2 Round -1101701320 to the nearest one million. -1102000000 Round 0.0658271535 to two dps. 0.07 What is -24557.776 rounded to the nearest ten thousand? -20000 Round -8.056259 to 1 dp. -8.1 Round -0.000738381042 to six dps. -0.000738 What is 1544172.828 rounded to the nearest 1000000? 2000000 Round -709478.3643 to the nearest ten. -709480 What is 0.000113910925 rounded to 5 decimal places? 0.00011 Round -0.0110179131 to 5 dps. -0.01102 Round 0.000016747061 to 7 decimal places. 0.0000167 Round 135750.0001 to the nearest 10. 135750 Round 293.6652812 to 2 dps. 293.67 What is -537620326 rounded to the nearest ten thousand? -537620000 Round -0.00000457877018 to 6 decimal places. -0.000005 What is 0.000258493057 rounded to 6 dps? 0.000258 Round -1.014659316 to four dps. -1.0147 Round -405312460 to the nearest 100000. -405300000 What is 0.071236921 rounded to five decimal places? 0.07124 What is -0.0040097583 rounded to 5 decimal places? -0.00401 Round 3940000.956 to the nearest one hundred. 3940000 Round 31.30120314 to three decimal places. 31.301 Round 125.71695638 to the nearest integer. 126 Round 0.00268703702 to 4 dps. 0.0027 What is 20.0581249 rounded to two dps? 20.06 Round -3520.821181 to the nearest 100. -3500 Round 8321.0422 to the nearest ten. 8320 Round -9609803.9 to the nearest one million. -10000000 Round 12204.46144 to the nearest 1000. 12000 Round 0.0208913913 to three dps. 0.021 What is -0.000819358607 rounded to seven dps? -0.0008194 What is -0.6727000664 rounded to three decimal places? -0.673 What is -133.468109 rounded to one decimal place? -133.5 Round 0.00645089137 to five decimal places. 0.00645 Round -0.00178232694 to five dps. -0.00178 What is 0.00056578889 rounded to five dps? 0.00057 What is 420615.66 rounded to the nearest one hundred thousand? 400000 What is -107.058141 rounded to the nearest 10? -110 What is -30040324170 rounded to the nearest 1000000? -30040000000 What is -866.70091 rounded to zero decimal places? -867 What is 1690652000 rounded to the nearest 1000000? 1691000000 Round 2533514880 to the nearest one million. 2534000000 What is 367023.812 rounded to the nearest 100000? 400000 What is -0.005897024 rounded to four decimal places? -0.0059 What is -0.00000261623423 rounded to 7 decimal places? -0.0000026 Round 0.00534331901 to three dps. 0.005 Round 16.87636665 to the nearest integer. 17 Round -0.138627446 to two decimal places. -0.14 What is -925.654325 rounded to two dps? -925.65 What is 0.00002175385053 rounded to six decimal places? 0.000022 What is 0.061991167 rounded to 2 dps? 0.06 Round 33417.896 to the nearest 100. 33400 Round -0.52819171 to 1 decimal place. -0.5 Round -0.00000102081968 to 7 decimal places. -0.000001 Round 169.3414059 to the nearest 10. 170 What is -23294301.6 rounded to the nearest ten thousand? -23290000 Round -6041313.12 to the nearest 100. -6041300 Round 364018.981 to the nearest 100. 364000 What is 0.001627269728 rounded to 6 decimal places? 0.001627 Round -281049.1254 to zero dps. -281049 Round 0.000013423140458 to 7 decimal places. 0.0000134 Round -0.000001826461982 to 7 decimal places. -0.0000018 What is -0.000720490374 rounded to 6 decimal places? -0.00072 What is 1940312.08 rounded to the nearest one thousand? 1940000 What is -12513.14312 rounded to the nearest one hundred? -12500 Round -0.00110075408 to 5 decimal places. -0.0011 What is -0.1654916017 rounded to two dps? -0.17 Round 1000920.3084 to the nearest ten. 1000920 What is -5092169.8 rounded to the nearest 10000? -5090000 What is -14988.86564 rounded to the nearest integer? -14989 Round -0.0000074497909 to seven decimal places. -0.0000074 What is 0.0916101549 rounded to 3 dps? 0.092 What is 9.419166 rounded to three dps? 9.419 What is 26040371.2 rounded to the nearest 1000? 26040000 Round -87864.7115 to the nearest 100. -87900 Round -8591.10023 to the nearest one thousand. -9000 Round 158895479 to the nearest one hundred thousand. 158900000 Round 30965.1624 to the nearest integer. 30965 Round -11607.5754 to the nearest ten thousand. -10000 Round -144607.24 to the nearest one thousand. -145000 Round -0.16305286 to 4 decimal places. -0.1631 Round -15.1964153 to 2 dps. -15.2 Round 18774661.4 to the nearest one hundred thousand. 18800000 Round -6422644.79 to the nearest 100000. -6400000 What is 712777.729 rounded to the nearest one thousand? 713000 What is -248382341.1 rounded to the nearest ten thousand? -248380000 What is -6078395.708 rounded to the nearest one hundred? -6078400 Round -6593473.1 to the nearest 10000. -6590000 What is -5125386.1 rounded to the nearest 10000? -5130000 Round 427.2579545 to 2 dps. 427.26 Round -4.87357392 to one decimal place. -4.9 Round -0.0010534711 to 4 decimal places. -0.0011 Round 0.0971837598 to six decimal places. 0.097184 Round -0.00006772925475 to seven dps. -0.0000677 What is 156.67008 rounded to 1 dp? 156.7 Round -164.0121108 to one dp. -164 Round 2893866227 to the nearest one million. 2894000000 Round 9.51319371 to three decimal places. 9.513 Round -40856.8964 to the nearest ten thousand. -40000 Round -9.63258938 to 4 decimal places. -9.6326 What is -26.81224 rounded to 2 dps? -26.81 Round -323692.04 to the nearest ten thousand. -320000 Round 0.6684392432 to four decimal places. 0.6684 Round -81855.0219 to the nearest ten thousand. -80000 Round 24.49932621 to one decimal place. 24.5 Round 5.744936153 to 2 decimal places. 5.74 Round -0.763906701 to five decimal places. -0.76391 Round -0.0063529703 to four decimal places. -0.0064 What is 0.00020646311 rounded to 6 decimal places? 0.000206 Round -1027408.451 to the nearest one hundred. -1027400 Round 0.110556621 to three dps. 0.111 Round -0.000014605963 to 5 dps. -0.00001 Round 75484504 to the nearest 1000000. 75000000 Round 5782388.75 to the nearest one million. 6000000 Round 348238.8953 to the nearest 10000. 350000 Round -0.225476385 to 4 dps. -0.2255 What is -108511895 rounded to the nearest ten thousand? -108510000 Round 1402.14429 to the nearest 100. 1400 Round 0.05366386963 to 4 decimal places. 0.0537 What is -0.000000238837876 rounded to 7 dps? -0.0000002 What is 5.12369342 rounded to one dp? 5.1 Round -213409.1977 to the nearest 100. -213400 What is 0.0003452675691 rounded to six dps? 0.000345 What is 0.489566765 rounded to 4 decimal places? 0.4896 Round -159036.368 to the nearest one hundred thousand. -200000 What is -60.398375 rounded to the nearest integer? -60 What is -13645068600 rounded to the nearest one million? -13645000000 Round -450.2721893 to the nearest ten. -450 What is -0.0000830902531 rounded to 5 decimal places? -0.00008 Round -1047.05808 to 1 dp. -1047.1 What is -172811970 rounded to the nearest one hundred thousand? -172800000 What is 9001.6607 rounded to the nearest 100? 9000 Round 237.4472527 to 0 dps. 237 What is 0.00000052255056 rounded to seven decimal places? 0.0000005 What is -41.875036 rounded to the nearest 10? -40 What is 255.874455 rounded to the nearest one hundred? 300 Round 247159010 to the nearest one hundred thousand. 247200000 Round -14051.86284 to the nearest 100. -14100 Round 4580448760 to the nearest 1000000. 4580000000 Round 0.0000001290315026 to seven decimal places. 0.0000001 Round 1887385.628 to the nearest 10000. 1890000 What is -11.557967332 rounded to 2 decimal places? -11.56 What is 1666.0524728 rounded to the nearest 10? 1670 Round 1098.898821 to the nearest 10. 1100 Round 0.15727854 to 3 decimal places. 0.157 What is 1.50000242 rounded to 1 dp? 1.5 Round 679.2829003 to the nearest ten. 680 Round -3.92908422 to 4 decimal places. -3.9291 Round -14.899821079 to 3 dps. -14.9 Round 47.224732 to the nearest ten. 50 Round 410509532 to the nearest one hundred thousand. 410500000 Round 0.00488130484 to seven dps. 0.0048813 Round -1777.57796 to 1 decimal place. -1777.6 Round 0.000002148667385 to 7 dps. 0.0000021 Round -237106646 to
{ "pile_set_name": "DM Mathematics" }
g/2 + 63/6. Calculate the highest common factor of 2 and h. 2 Suppose 0 = 2*s - j - 9, -4*j + 33 = 4*s - 15. Suppose -2*q + 10 = 3*q. Suppose q*i - 4*i = -70. What is the greatest common factor of s and i? 7 Let b(o) = -8*o - 1. Let x be b(-1). Let j(i) = -2*i**2 + 31*i - 35. Let u be j(14). Calculate the highest common factor of u and x. 7 Suppose 0 = -10*c + 3 + 107. Suppose 3*l - 231 = -0*l. What is the greatest common divisor of l and c? 11 Let n be 10 + -3 + 0 - -1. What is the greatest common divisor of 4 and n? 4 Suppose -4*k - 2*k + 132 = 0. Calculate the highest common factor of 198 and k. 22 Let g(d) = 3*d**2 + 1. Let y be g(3). What is the highest common divisor of y and 224? 28 Let a(h) = h**3 + 14*h**2 + 19*h - 27. Let l be a(-12). Calculate the greatest common factor of l and 363. 33 Suppose -2*v + 12*v = 70. Calculate the highest common divisor of v and 70. 7 Suppose -30 = -3*x - n, 3*x - 21 = -x + 5*n. Let q(h) = -3 - 9*h + 4*h - 7*h. Let l be q(-7). What is the greatest common factor of l and x? 9 Let u be 2*(-3 - (2 - 6)). Let p = u + 10. Calculate the greatest common divisor of 8 and p. 4 Let p = -18 + -19. Let d = 61 + p. Calculate the highest common factor of d and 72. 24 Suppose 5*s - 271 = 569. Calculate the highest common factor of 21 and s. 21 Let y be 23 - (4 - 3)*-1. Suppose 0 = 2*v + 2*v - y. Calculate the highest common factor of v and 30. 6 Suppose -x + 4*g - 1 = -9, 4*x = g + 17. What is the highest common factor of 20 and x? 4 Let l = -37 - -193. Suppose -l = -3*m - 0*m. Calculate the greatest common divisor of 13 and m. 13 Let v be 38476/(12/3) + 1. Let q be 2/(-5) + v/50. Calculate the greatest common factor of q and 24. 24 Suppose 3*y - 316 = 4*w, 0*y + 5*w - 380 = -4*y. What is the greatest common divisor of 40 and y? 20 Suppose b - 3 = 0, 4*a - 4*b - 547 + 1591 = 0. Let c = -120 - a. Let g = -82 + c. What is the highest common factor of g and 8? 8 Let b be -1 + -2 - (-14 + -5). What is the greatest common factor of 144 and b? 16 Suppose -2 = i - 4, -4*l - 168 = -2*i. Let d = -29 - l. Let s = 29 - 11. What is the highest common factor of s and d? 6 Suppose -2*r + 7*r = 20. What is the greatest common factor of 44 and r? 4 Let z = 18 + -9. Let r = z + -4. Let v = 29 - r. Calculate the highest common divisor of v and 3. 3 Suppose -10 = -2*q + 6. Let b be -26*(-2)/q*2. Suppose -3 = -4*d + 569. Calculate the highest common divisor of b and d. 13 Let g = 46 - 14. Calculate the highest common factor of 8 and g. 8 Let t = 5 + -4. Let u = t - -13. What is the highest common divisor of 126 and u? 14 Let d = -19 + 36. Calculate the greatest common divisor of d and 51. 17 Suppose -3*a = -4*c + 8, 1 + 1 = c + 3*a. What is the greatest common divisor of c and 1? 1 Let l = 21 - 11. Let h(o) = -o**3 + 9*o - 2*o + l*o**2 + 2*o - 2 + 3*o. Let i be h(11). What is the greatest common factor of 6 and i? 3 Suppose 5*b - 340 = b. Suppose -106 = -5*a + t, 0*a - 26 = -a + 5*t. Let r be 6/a - 234/(-14). What is the greatest common factor of r and b? 17 Suppose j = -j + 98. Let i = j - 21. Let x(d) = 9*d**3 - d**2 + d. Let f be x(2). What is the greatest common divisor of i and f? 14 Suppose 4*b - 97 = -p + 57, 4*p = -5*b + 187. What is the greatest common divisor of 26 and b? 13 Suppose 0 = 5*g - s - 1103, -2*g + 3*s - 7 = -456. Calculate the greatest common factor of g and 20. 20 Suppose 0 = 5*u - 3*q - 107, 14*q - 10*q - 4 = 0. What is the greatest common factor of 33 and u? 11 Let d be (-70)/((-15)/3) - -6. Let i be (4/6)/((-2)/(-120)). What is the highest common divisor of i and d? 20 Let x = 5 - 5. Let h be (28 + x)/(2 - 1). Calculate the greatest common factor of h and 14. 14 Let s(k) = -17*k + 2. Let c be s(-2). Suppose 3*x + 58 = 4*f, 4*x - 3 - 5 = 0. Let i be (-45)/(-20)*f/3. What is the highest common divisor of c and i? 12 Suppose 518 = 4*q - 606. Suppose 881 - q = 5*t. Let r = -20 - -32. Calculate the highest common factor of t and r. 12 Suppose 6*a - 2*a - 36 = 0. Let t(f) = -f**3 + 9*f**2 + f - 6. Let v be t(a). Let i be 5/((-33)/12 + v). Calculate the highest common divisor of i and 4. 4 Suppose -6*s = -2*s - 88. What is the greatest common factor of 22 and s? 22 Suppose 0 = -3*b - t + 31, 5*b + 2*t = -0*t + 53. Let q = 24 + 17. Suppose -q = -d + 58. Calculate the highest common divisor of d and b. 9 Suppose 0 = -k + 48 + 42. Calculate the highest common factor of k and 10. 10 Let n(t) = 2*t**2 + 5*t - 4. Let a be n(-4). Let k(j) = 25*j**2 + j. Let c be k(-1). What is the greatest common divisor of c and a? 8 Suppose 24*n - 40 = 19*n. Calculate the greatest common divisor of 32 and n. 8 Suppose 341 = -5*s + 1466. What is the highest common factor of s and 25? 25 Let d(i) = i - 7. Let n be d(12). Suppose 2*x + u = 2*u + 9, 5*x - 15 = n*u. What is the highest common factor of x and 4? 2 Suppose -z = -3*z + 5*h + 56, -3*z + 5*h + 79 = 0. Let l be 1 + 1 + -1 + 91. Calculate the greatest common factor of l and z. 23 Suppose f - 17 + 3 = 0. Suppose 4*q + f = 2. Let d be 8/12 - 94/q. What is the highest common factor of d and 8? 8 Let b = 53 + -46. Calculate the greatest common divisor of b and 28. 7 Suppose 2*u + u = 9. Suppose 4*z = 2*z, 0 = -4*h - u*z + 160. What is the highest common factor of h and 8? 8 Let r(g) = -g**2 - 10*g + 3. Let y be r(-5). Calculate the greatest common divisor of y and 224. 28 Let w(o) be the third derivative of 41*o**4/12 + o**3/3 - o**2. Let t be w(-2). Let k = t - -272. Calculate the greatest common factor of k and 22. 22 Let h(c) = -c - 1. Let x be h(-2). Suppose -2*b + 18 = g, -3*g + 4*b + 1 = -23. Let a = g + -7. What is the greatest common factor of x and a? 1 Let y(g) = g**3 + 5*g**2 - 9*g - 3. Let i be 1/(1/12*-2). Let z be y(i). Calculate the greatest common factor of 120 and z. 15 Suppose 0 = -4*a - 4 + 12. Suppose z = 4*f - 253, -3*z - 50 = a*f - 187. Suppose 0 = 4*v - 112 - f. Calculate the greatest common divisor of v and 4. 4 Suppose -3*t = -4*t - 1. Let y be 36 + 0/(t*4). What is the greatest common factor of y and 12? 12 Let n = -29 + 31. What is the greatest common factor of n and 22? 2 Let t = 17 + -13. Calculate the greatest common factor of t and 2. 2 Let z(x) = 4*x**2 - 7*x + 33. Let v be z(9). What is the highest common divisor of 49 and v? 49 Suppose 3*f = -3*f + 432. What is the greatest common divisor of f and 12? 12 Let w be (1*-6)/2 - 0. Let x = w + 3. Suppose -4*r + 373 + 107 = x. Calculate the highest common factor of r and 15. 15 Suppose 3*h - 195 - 18 = -2*x, 5*h = -4*x + 423. Calculate the greatest common divisor of x and 34. 34 Suppose 4*o = -3*f - 4, 3*f + o - 2 = 3*o. Let k(d) = -d**2 + 40. Let u be k(f). What is the greatest common factor of u and 10? 10 Suppose 5*m = -2*q + 105, 3*m - 2*m - 3*q = 38. What is the greatest common divisor of m and 23? 23 Let n = -53 + 93. Suppose 2*q - n - 8 = 0. Let a be 4/(-14) + 258/21. Calculate the greatest common divisor of a and q. 12 Suppose 0*d + 7*d = 154. Calculate the highest common factor of 22 and d. 22 Let z be (-2)/(-6) - 2/(-3). What is the highest common divisor of 27 and z? 1 Suppose 0 = 2*i + n - 42, -2*i + 79 = 3*i - 4*n. What is the greatest common factor of 76 and i? 19 Let n(g) = -2*g + 7. Let c be n(-4). Suppose -4*f = 2*o - 240, -o + 0*o + 120 = -3*f. What is the highest common divisor of o and c? 15 Suppose -4*u = -3*n + 412, -4*n = -u - 311 - 221. What is the highest common divisor of 33 and n? 33 Let l = -4 + -2. Let t be 3 - 0 - (-6 - l). Let h be 32/3 + t/9. What is the highest common divisor of 121 and h? 11 Suppose 0 = 2*v + 2*v + 84. Let p be 2/(24/v)*-4. Calculate the greatest common factor of p and 21. 7 Let l(g) = 27*g**3 + 3*g**2 - 2*g. Let u be l(1). Calculate the highest common factor of 14 and u. 14 Suppose 81 = 4*q - 47. Suppose -o = o - q. Calculate the greatest common divisor of 32 and o. 16 Suppose -3*m = -7*m - 296. Let c = m + 130. Let x(n) = -n + 1. Let s be x(-7). What is the greatest common divisor of c and s? 8 Suppose -3*w = 4*r - 141, 0 = -4*w - 3 - 1. Calculate the highest common factor of r and 4. 4 Suppose 2*i - 26 + 8 = 0. Let j(y) = y**2 - 3*y - 12. Let h be j(i). Calculate the highest common factor of 6 and h. 6 Suppose 0*l + 15 = 5*l. Suppose -l*j = -w + 2*j + 1,
{ "pile_set_name": "DM Mathematics" }
(2*b - 2*b + 2*b)*(-3 - 2*b + 3). -3*b**2 Expand -2*a - 1 + 1 + (-2 + 2 + 1)*(-a - 2*a + a) - 2 + 2 + a + 2 + 2*a - 2 + 5*a - a + 0*a + (1 - 4 + 1)*(2*a - a - 3*a) + 5*a - 2*a - 4*a. 6*a Expand (-u**3 - 2*u**3 + 0*u**3)*(-5*u**2 + 3*u**2 + u**2) + (1 - u**2 - 1)*(u + u**3 - u). 2*u**5 Expand (3 - 2*r - 3)*(r**4 - r**4 - 2*r**4) - 26*r**2 + 26*r**2 - 11*r**5. -7*r**5 Expand 0*p + 2*p + 0*p + (-2*p + 3*p - 3*p)*(-2 + 0 + 3) - p - 4*p + 3*p + (4*p - p + p)*(-1 - 4 + 7). 6*p Expand -3*s - s - s + (0*s - 2*s + s)*(1 + 0 + 0) + (-1 + 4 - 1)*(2*s + 1 - 1). -2*s Expand (a + 1 - a + 3*a)*(3*a**2 + a - a). 9*a**3 + 3*a**2 Expand (-i**3 + 0*i**3 + 3*i**3 - 9)*(3 + 0 - 1). 4*i**3 - 18 Expand (34*r**2 - 34*r**2 + 20*r**4)*((-3 - 3 + 4)*(0 + 0 - r) + 3 + r - 3). 60*r**5 Expand (0*u**2 - 4*u**2 + u**2)*(2 - 4 + 3) - 5*u**2 + 4*u**2 + 3*u**2 + (-2*u + 0*u + 4*u)*(-1 + 1 + u). u**2 Expand (-3*f**3 + 7*f**3 - 2*f**3)*(-6*f**2 + 7*f**2 + 2*f**2) + 3*f**5 + 0*f**5 + f**5. 10*f**5 Expand (-3 + 0 + 6)*(-14 - 2*n + 22 - 9). -6*n - 3 Expand (-9*b + 5 - 5)*(-b - 2*b + 4*b)*(-5*b**2 + 3*b**2 + 3*b**2). -9*b**4 Expand (x - 1 - 2*x + 0*x)*(3 - 5 + 3) - 2*x - x + 2*x. -2*x - 1 Expand (-1 - m + 1)*(m + 798 - 798 - 12*m**3). 12*m**4 - m**2 Expand (-4*y + 5*y + y)*(-3 - 2 + 7)*(3*y**2 + 0*y**2 - y**2)*(-2 + 1 + 2). 8*y**3 Expand (2*c**2 + 3*c**4 - 2*c**2)*(-3*c - 34 + 34) + 0*c**2 + 0*c**2 - c**5 + (2*c**3 + 4*c**3 - 4*c**3)*(-3*c**2 + c**2 + 3*c**2). -8*c**5 Expand (1 - 1 + 2*x)*(-2*x + 5*x + 0*x) + 4 + 2*x**2 + 2 - 3. 8*x**2 + 3 Expand a + 2*a - 2*a + 29*a - 21*a - 2 + 1 - 2*a - 3*a + 3*a + (-a + 4 - 4)*(5 - 3 - 3). 8*a - 1 Expand (21*v**2 - 4*v**2 + 6*v**2)*(1 - 4 + 4) + 0*v**2 + 0*v**2 - v**2 + (-5*v - 2*v + 5*v)*(3*v + v - 6*v) + 2 - v**2 - 2. 25*v**2 Expand (-3 + 2*c - 1 + 2)*(67 - 33 - 33 + 4*c). 8*c**2 - 6*c - 2 Expand (3*j**2 - 2*j**3 - 3*j**2)*(-2*j**2 + 0*j**2 + j**2) - 2*j**5 + 2*j**5 + 2*j**5 - 19*j**5 - 8*j**5 + 20*j**5. -3*j**5 Expand (-2 - 2 + 3)*(-2*l + 0 + 0) + 0 + 0 + l + 3*l + 0*l - 2*l + 3*l - 4*l + 3*l + (2 + 5 - 6)*(0*l + 4*l - 2*l) - 3*l + l + 6*l. 12*l Expand (-2*r**4 - r**4 + 2*r**4 + (-2*r**4 + 3*r**4 + r**4)*(1 + 1 - 3) - 3 - r**4 + 3)*(-3*r + 0 - 3 + 5). 12*r**5 - 8*r**4 Expand m**2 - m**2 - 4*m**2 - 3*m**2 - m + m + 2*m**2 - 3*m**2 + 3*m**2 + 4*m**2 - m**2 - m**2 + (-1 - 1 + 3)*(4*m**2 - 3*m**2 + 0*m**2) - 3 + 3 + m**2. -m**2 Expand (14*v - 16*v + 6*v - 4*v**2)*(v - 2*v + 2*v). -4*v**3 + 4*v**2 Expand (2 + 2 - 3)*(3 - 5 + 1)*(2*m - m**2 - 9 + 1 + 5). m**2 - 2*m + 3 Expand (3*h + h**2 - 3*h)*(2*h - 2*h - 2*h**2 + (-4*h + 3*h - h)*(-1 - 2*h + 1) + 2 - 2 + 7*h**2 - 1 + 1 - 2*h**2). 7*h**4 Expand (0*y**3 + 2*y**3 + 0*y**3)*((-1 - y + 1)*(3*y - 3*y - 2*y) + y - y - y**2 + (-y - y + y)*(0 + 2*y + 0) + 5*y**2 + 10*y**2 - 20*y**2). -12*y**5 Expand -7*q**3 + 2*q**3 + 3*q**3 - 3*q**2 + 2*q**3 + 3*q**2 + (0*q - q + 2*q)*(2 + 2*q**2 - 2) - 3*q**3 - q**3 + 3*q**3 + 31 - 31 + 4*q**3. 5*q**3 Expand (5*i + 2*i - 5*i)*(-2*i + 3*i - 3*i) - 1 + 594*i - 594*i - i**2 - 2*i**2 + 5*i**2 - i**2 - i**2 + 3*i**2 - i**2 + (0 + 2*i + 0)*(0 + 0 - 2*i). -6*i**2 - 1 Expand (2*c**2 + 2*c**2 - 3*c**2)*(-c + 1 - 1) + 4*c**3 - 2*c**3 - 3*c**3 + (-c - 2*c + 4*c)*(3*c**2 - 2*c**2 - 2*c**2) + 1 + 3*c**3 + 5*c**3 - 4*c**3. c**3 + 1 Expand -y**2 + 3 - 3 - 5*y**2 - y**2 + 4*y**2 + (0*y - 4*y + 3*y)*(y - y + 2*y) + (-2*y**2 + 0*y**2 + 3*y**2)*(3 - 1 - 1). -4*y**2 Expand (3*c**3 + 4*c - 4*c)*(0 + 0 + 1). 3*c**3 Expand (0 + 2 - 3)*(3*d**3 - 3*d + 3*d)*(0*d + 2*d + d). -9*d**4 Expand (-5*g + 3*g + g + g + 0*g - 3*g + (-1 - 1 + 1)*(-2 - g + 2))*(7*g**3 - 3*g**4 - 7*g**3). 6*g**5 Expand (23 - 23 - 3*w)*(-2*w - w + 4*w)*(-2 + 4 - 4). 6*w**2 Expand (0*m + m - 3*m)*(3*m + m - 3*m) - 18*m - 11*m**2 + 18*m. -13*m**2 Expand ((4 - 4 - 1)*(2 - 5 + 1) + 0 - 2 + 4)*(-4*z**2 + 6*z**2 + 2*z**2). 16*z**2 Expand (-1 + 1 + 2*s)*(-4 + 2 + 0)*(5 + 6*s - 5)*(2 - 2 - 2). 48*s**2 Expand (-5 + 1 + 5 - 12*c)*(7*c - 4*c - c). -24*c**2 + 2*c Expand (0 - w + 2 + 0)*(-23*w**3 + 23*w**3 + 5*w**4). -5*w**5 + 10*w**4 Expand (2 - 2 + 4*r)*(5*r**4 - r**4 - 3*r**4) - 4*r**5 + 0*r**5 + 2*r**5 - 3*r**5 + 4*r**5 - 4*r**5. -r**5 Expand (-4 - 6*j**3 + 1 + 2)*(0*j**2 - j**2 + 6*j**2) + 2*j**5 - 2*j**5 - j**5. -31*j**5 - 5*j**2 Expand (3 + 0 + 0)*(-4 + 11*q + 6*q - 10*q). 21*q - 12 Expand (-2*r**2 + 4*r**2 - 4*r**2)*((-5*r**2 + 3*r**2 + 0*r**2)*(-r - 2*r + r) - r**3 + 5*r**3 - 2*r**3 + 6*r**3 - 2*r**3 - r**3). -18*r**5 Expand (-3*b + b + 4*b)*(2*b - 3*b + 2*b) + 2*b**2 + 2*b**2 + b**2 + (2*b - b + b)*(-3 + 3 - 2*b). 3*b**2 Expand 2*x + 4*x**2 - 2*x**2 - 7*x + x**2 - 5 + 5 - x**2 + 0*x**2 - x**2 + (1 - 1 + x)*(5 - 5 - x) - x**2 + 2*x**2 - 3*x**2. -2*x**2 - 5*x Expand -4*n**5 + 0*n**5 + n**5 + (0 + 2 - 4)*(-2*n**5 + n - n). n**5 Expand (2*w**2 + w**2 - 6*w**2)*(2*w - 3*w + 0*w) + (5*w - w**2 - 5*w)*(-2 + 2*w + 2). w**3 Expand (-8 - 7 + 14 - a)*(2*a**4 + a**4 - a**4). -2*a**5 - 2*a**4 Expand -1 + 1 - 14*o**5 + (-o - 2*o + o)*(4*o**4 + 0*o**4 - 3*o**4). -16*o**5 Expand (-r + r - 2*r**2)*(0 + 0 - r) + 0*r**2 + 0*r**2 + 3*r**3 - r**3 - r**2 + r**2 + (3*r + 2*r - 4*r)*(-2*r + 2*r**2 + 2*r). 6*r**3 Expand (1 - 3 + 3)*(h**3 + 0 + 0) + 0*h - 2*h**3 + 0*h - 3 + 4*h**3 - 6*h**3 + 0. -3*h**3 - 3 Expand (-u**2 + u**3 + u**2)*(2*u - 1 + 1) + (-4*u + 5*u - 3*u)*(-2*u**3 + 0*u**3 + u**3). 4*u**4 Expand (-13*l**3 - 4*l**5 + 13*l**3)*(1 + 3 + 2) - l**2 + l**2 - 2*l**5 + (-4*l + 2*l + 4*l)*(-2*l**4 + l**4 - l**4). -30*l**5 Expand (-18*a + 18*a + 39*a)*(0 + 3 - 5). -78*a Expand (0*c + 0*c + c)*(c**2 + 5*c**2 + 0*c**2). 6*c**3 Expand (i**3 + 0*i**3 + 0*i**3)*(-2*i**2 - i**2 + 4*i**2) + (-2*i**2 - i**2 + 6*i**2)*(6*i**3 - 3*i**3 - 2*i**3) + 0*i**5 + 0*i**5 + 2*i**5. 6*i**5 Expand (-2*x - 2 + 2)*(-3*x**2 + 2*x**2 + 2*x**2) - x**3 + 0 + 0 + (x + 2*x - 2*x)*(x**2 - 3 + 3) - 3*x - 3*x**3 + 3*x. -5*x**3 Expand t - 5*t + 2*t - 5*t + 2*t + 2*t + (4 - 2 + 0)*(3*t - 7*t + 2*t) + 2*t - 2*t - t - 10 + 10 - 6*t. -14*t Expand (1 - 2 + 2)*(m + 2*m**2 - m) + (0 - 5 - 4)*(5 - 5 - m**2). 11*m**2 Expand -3*f + 3*f + f**3 + (f**3 - 2*f + 2*f)*(-6 + 2 + 2) - f**3 - 2*f**3 + 2*f**3 - 6*f - 331*f**2 + 331*f**2 - f**3. -3*f**3 - 6*f Expand (-2*t - 1 + 1)*(0*t**2 + 3*t**2 - t**2) + 0*t**3 + t**3 + 2*t**3 - t**3 - 2*t**2 + 2*t**2. -2*t**3 Expand (-3*r**3 + 3*r**3 + 3*r**3)*(0 + 0 + r)*(1 + 4 - 4) - 4*r**3 + 3*r**4 + 4*r**3. 6*r**4 Expand (3*i**2 + i**2 - 5*i**2)*(34*i - 67 + 67) - 3 + 3 - 2*i**3. -36*i**3 Expand (4 + 3*d - 4)*(-2 - 1 + 9). 18*d Expand 3*c**3 - 4*c**3 + 0*c**3 + (-61 + 61 + 11*c)*(1 - 4 + 1)*(-c**2 + 2*c**2 + 2*c**2). -67*c**3 Expand (-1 - a + 1)*(-2*a**4 + 4*a**2 - 4*a**2) + 5*a**5 - 4*a**5 - 2*a**5 - 2*a**2 + 5*a**5 + 2*a**2 + 2*a**5 + 2*a**5 - 2*a**5. 8*a**5 Expand (-2*u - u + 2*u)*(-2 + 3 - 4). 3*u Expand 6*s**4 - s**2 + 3*s**2 - s**2 - s**4 - 4 + 4 + (5*s - 2*s - 2*s)*(2*s**3 + 0*s**3 - s**3) + 0*s**3 + 0*s**3 + 2*s**4. 8*s**4 + s**2 Expand (-2*i**3 + 0*i**3 + i**3)*(9 + 4 - 6) + (i - i + 2*i)*(i**2 - 3*i**2 + i**2). -9*i**3 Expand (-h + 4*h - h)*(h**2 - 5 + 5). 2*h**3 Expand 4*a + 3*a - 6*a - 3*a + 5*a - 3*a - 2*a + a - a + (-3 + 3 - 2)*(-a + 2*a + 0*a) - 6*a - 2*a + 2*a - 3*a - 4*a + 6*a. -11*a Expand (-2*f + 4*f - 3*f)*(-2 + 3 - 3)*(80 + 3*f - 80)*(2 - 2 - 2*f). -12*f**3 Expand (0 + 3 - 1)*(7*v - 3*v + 4*v). 16*v Expand (2 - 4 - 4*w + 24*w)*(-1 - 1 + 0). -40*w + 4 Expand (0 - z + 0)*(0 + 0 - 12) - z + 2*z - 2 + 1. 13*z - 1 Expand ((0*f + 0*f + f**2)*(2*f**2 + 2*f**2 - 2*f**2) + 2*f**3 + 2*f**4 - 2*f**3)*(-5 + 4 + 0). -4*f**4 Expand -3*b**2 + 3*b**2 - b**3 - b**3 + 0*b**3 + 6*b**3 + (-1 + 3 - 3)*(-9*b**3 + 3*b**3 - b**3). 11*b**3 Expand -2 - 3*c**2 + 0 + 2*c + 7 + (-2*c + 4*c - 4*c)*(4*c - 4*c + 2*c). -7*c**2 + 2*c + 5 Expand (-2*s**2 - 1 + 1)*(4*s**2 - s**2 + 0*s**2) - 3*s**3 - 3*s**4 + 5*s**3 + 4*s**4. -5*s**4 + 2*s**3 Expand (-3 + 4 - 3)*(-6*m - m + 3*m)*(-1 + 0 - 1)*(-4 - 1 + 2). 48*m Expand (-3*t + t + 3*t)*(t + t - 5*t)*(2 - t - 2) + (t**3 + 3*t - 3*t)*(0 - 1 - 1). t**3 Expand (-5*r**3 + 4*r**3 + 0*r**3 - 5*r**2)*(-3*r**2 - 3*r**2 + 3*r**2). 3*r**5 + 15*r**4 Expand -p**2 + p - p + (-2*p - p + 5*p)*(-2*p - 2 + 2) + p - p + p**2 + 5*p**2 - p**2 - 3*p**2 + (-3 - 2 + 15)*(-p**2 - 3*p + 3*p). -13*p**2 Expand ((-1 - 5 + 2)*(2 - 2 - 1) + (1 + 0 - 2)
{ "pile_set_name": "DM Mathematics" }
/420 What is prob of sequence tttt when four letters picked without replacement from ttttttt? 1 What is prob of sequence ij when two letters picked without replacement from ddddijdrraaje? 1/78 What is prob of sequence ss when two letters picked without replacement from sixssppssxsspis? 4/15 Four letters picked without replacement from {m: 2, j: 8, n: 1, q: 2, b: 5}. Give prob of sequence qjjb. 7/918 Calculate prob of sequence tt when two letters picked without replacement from {t: 4, c: 7}. 6/55 Four letters picked without replacement from ddoooododv. What is prob of sequence odov? 1/63 Three letters picked without replacement from {a: 1, h: 8, b: 2, c: 4, u: 3, n: 2}. What is prob of sequence bch? 8/855 What is prob of sequence ppx when three letters picked without replacement from {p: 2, y: 3, x: 1, z: 1}? 1/105 Calculate prob of sequence mmm when three letters picked without replacement from ummppupuppm. 1/165 Calculate prob of sequence lll when three letters picked without replacement from {l: 7}. 1 What is prob of sequence qqq when three letters picked without replacement from {q: 4}? 1 Three letters picked without replacement from {p: 15, o: 2, u: 3}. What is prob of sequence upu? 1/76 Four letters picked without replacement from {q: 9, k: 2}. What is prob of sequence qqqq? 21/55 What is prob of sequence tu when two letters picked without replacement from {t: 2, m: 6, u: 2, q: 2}? 1/33 Three letters picked without replacement from eccccceccecccece. Give prob of sequence cec. 55/336 Three letters picked without replacement from {o: 2, i: 2, e: 1, u: 1, d: 1}. What is prob of sequence iou? 2/105 Calculate prob of sequence lo when two letters picked without replacement from lllllolllooolllllol. 35/171 Calculate prob of sequence mpp when three letters picked without replacement from {p: 4, w: 4, n: 2, m: 2}. 1/55 Three letters picked without replacement from qzzi. What is prob of sequence iqz? 1/12 Four letters picked without replacement from {n: 2, z: 1, e: 1}. Give prob of sequence enzn. 1/12 Four letters picked without replacement from zszstzzwwbwzotwsbz. What is prob of sequence szws? 1/510 What is prob of sequence iw when two letters picked without replacement from cwkctpit? 1/56 Calculate prob of sequence xxpa when four letters picked without replacement from dhpxzdadpxpdpdxd. 1/1820 Calculate prob of sequence shj when three letters picked without replacement from bsbjhmjfjmbmbsf. 1/455 Calculate prob of sequence kj when two letters picked without replacement from {k: 11, m: 8, j: 1}. 11/380 What is prob of sequence lnnu when four letters picked without replacement from uelleeuennneneeevven? 2/2907 Four letters picked without replacement from beeebeebbb. What is prob of sequence beeb? 5/63 What is prob of sequence ddnn when four letters picked without replacement from mdnnnmnmdmmdmnd? 2/273 Calculate prob of sequence uny when three letters picked without replacement from {n: 4, y: 3, u: 1}. 1/28 Two letters picked without replacement from ccxxcccccccccxcccc. Give prob of sequence xx. 1/51 Four letters picked without replacement from {f: 9}. Give prob of sequence ffff. 1 Calculate prob of sequence kk when two letters picked without replacement from kkkj. 1/2 Three letters picked without replacement from qvpqqptlqv. Give prob of sequence vvq. 1/90 Three letters picked without replacement from {c: 9, h: 1, k: 1, d: 6}. What is prob of sequence kdd? 1/136 Two letters picked without replacement from {w: 17, n: 3}. What is prob of sequence wn? 51/380 Three letters picked without replacement from {o: 1, p: 1, b: 1, j: 2, m: 1, a: 2}. Give prob of sequence aam. 1/168 Two letters picked without replacement from {a: 1, p: 4, z: 2}. What is prob of sequence zp? 4/21 Two letters picked without replacement from kkergrrerregrekiile. Give prob of sequence re. 5/57 Three letters picked without replacement from xlxlldlllgxhg. What is prob of sequence ghx? 1/286 Four letters picked without replacement from {k: 1, z: 2, y: 1, x: 2, d: 2, l: 5}. What is prob of sequence zzyd? 1/4290 Two letters picked without replacement from znyhnqqh. What is prob of sequence zq? 1/28 Four letters picked without replacement from {j: 2, b: 1, v: 2, n: 1, c: 10}. Give prob of sequence jvvn. 1/10920 Two letters picked without replacement from yooyyooooo. Give prob of sequence yo. 7/30 Two letters picked without replacement from {i: 3, c: 4, f: 2, q: 1, t: 3, s: 3}. What is prob of sequence sf? 1/40 Two letters picked without replacement from jvvjijvivv. Give prob of sequence jj. 1/15 Calculate prob of sequence uou when three letters picked without replacement from ppouuupppoooppupp. 1/85 Two letters picked without replacement from uijmummm. Give prob of sequence im. 1/14 Two letters picked without replacement from {z: 2, d: 5, b: 3}. What is prob of sequence bd? 1/6 What is prob of sequence ddbw when four letters picked without replacement from tddwfddfbwdd? 1/198 Calculate prob of sequence ruur when four letters picked without replacement from rurruu. 1/10 Calculate prob of sequence jijj when four letters picked without replacement from {j: 7, i: 2}. 5/36 Calculate prob of sequence gn when two letters picked without replacement from gdnnd. 1/10 Calculate prob of sequence apll when four letters picked without replacement from laplllala. 5/252 What is prob of sequence lnrf when four letters picked without replacement from nnlnfrlnrfrffrf? 4/819 Three letters picked without replacement from uuyugwguuuqy. Give prob of sequence qyw. 1/660 What is prob of sequence ar when two letters picked without replacement from raararaaraa? 14/55 Two letters picked without replacement from {l: 1, z: 2, r: 1, e: 1, p: 1, y: 2}. What is prob of sequence rp? 1/56 Two letters picked without replacement from {d: 11, t: 4, g: 4}. Give prob of sequence gg. 2/57 Calculate prob of sequence eeyy when four letters picked without replacement from {e: 6, y: 12}. 11/204 Calculate prob of sequence el when two letters picked without replacement from {l: 3, s: 1, k: 1, e: 2, a: 6}. 1/26 Two letters picked without replacement from {y: 1, b: 3, p: 2, l: 4}. Give prob of sequence pp. 1/45 Two letters picked without replacement from tgtppnttptvnt. Give prob of sequence pt. 3/26 Three letters picked without replacement from {m: 2, z: 9}. What is prob of sequence mzz? 8/55 Two letters picked without replacement from fflfffffffflffffff. What is prob of sequence fl? 16/153 Four letters picked without replacement from {h: 4}. What is prob of sequence hhhh? 1 Two letters picked without replacement from kkpkppkkkkkppkkkkpp. Give prob of sequence pp. 7/57 What is prob of sequence gg when two letters picked without replacement from wgqkwwwqkwrwrrgg? 1/40 Calculate prob of sequence uuoo when four letters picked without replacement from {m: 3, u: 3, o: 2}. 1/140 Three letters picked without replacement from aahghaghaghhghgagghh. What is prob of sequence ggg? 7/228 Calculate prob of sequence ehh when three letters picked without replacement from ehh. 1/3 What is prob of sequence tps when three letters picked without replacement from psotoosppto? 2/165 Two letters picked without replacement from msssmssgm. Give prob of sequence gs. 5/72 Two letters picked without replacement from {u: 5, i: 1, p: 4, k: 2, e: 4}. What is prob of sequence ip? 1/60 Calculate prob of sequence gppg when four letters picked without replacement from pggggp. 1/15 Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqq. 1 Two letters picked without replacement from giigddgzz. What is prob of sequence iz? 1/18 Three letters picked without replacement from ffffffffffzffffffzf. Give prob of sequence ffz. 16/171 Three letters picked without replacement from fssfqnkbqqnsbqfqsqn. What is prob of sequence bff? 2/969 Calculate prob of sequence is when two letters picked without replacement from {s: 3, f: 2, a: 6, t: 1, o: 2, i: 1}. 1/70 Calculate prob of sequence mc when two letters picked without replacement from {d: 1, m: 1, h: 3, c: 3, i: 4, p: 5}. 3/272 Two letters picked without replacement from vwvwkjkkjldv. Give prob of sequence dj. 1/66 What is prob of sequence un when two letters picked without replacement from j
{ "pile_set_name": "DM Mathematics" }
3 Suppose -d = -4*d. Let h(t) = 30*t + 449. Let p(c) = -c - 34. Let l be p(-19). Let a be h(l). Put -3, d, a, 3 in descending order. 3, d, a, -3 Suppose -3*g = y - 133, 3*g - 81 = -2*y + 182. Suppose 1358 = -27*u - 1828. Let h = u + y. Put -1, h, 5 in decreasing order. h, 5, -1 Let t be (((-6)/(-12))/1)/((-1)/(-6)). Let s = -78 + 70. Sort s, -1, t, -4 in increasing order. s, -4, -1, t Let q = 7218 + -7219. Suppose -d + 9 = 3*w - 4*d, 5*w + 3*d + 9 = 0. Sort w, q, 5, 2. q, w, 2, 5 Let h = -589/5 - -119. Let y = 224 + -224.01. Put -2/7, h, y in descending order. h, y, -2/7 Let q = 4.244 + 0.056. Let n = q + -1.3. Suppose 57*u - 62*u + 3*w - 31 = 0, -u - 5*w = -5. Sort u, 0.4, n. u, 0.4, n Suppose 2*s = 5*f - 7 - 19, 4*s + 16 = f. Sort 98, 1, 3, 2, s. s, 1, 2, 3, 98 Let h(u) = 44*u**2 + 572*u + 18. Let q be h(-13). Put -9, q, 0 in decreasing order. q, 0, -9 Let v = 6990 + -6990.3. Sort v, -5/6, 7 in descending order. 7, v, -5/6 Let i = 266.3 + -266.7. Let z = 3.11 - 0.11. Let w = 3.045 - z. Sort 1/2, w, i in decreasing order. 1/2, w, i Let q = -0.1 - 0.5. Let w = q + 0. Let l be 3 - (192/28 - 4). Sort w, 0.3, -0.3, l in increasing order. w, -0.3, l, 0.3 Let z be 14/(-3)*86/(-1204). Sort 0.236, -11, z in descending order. z, 0.236, -11 Let w = 3608 + -68554/19. Put w, -0.7, -238 in decreasing order. w, -0.7, -238 Let d = 74/161 - 4/23. Let x be (-5)/10 + 1308/1280. Let w = 5/64 + x. Sort -1, w, d, 1/2 in descending order. w, 1/2, d, -1 Suppose -14*n + 12*n - 18 = 0. Let r(p) = 138*p**2 - 267*p**2 + 138*p**2 + 11 - 9*p - p**3. Let i be r(8). Put n, 5, i, -4 in decreasing order. 5, i, -4, n Let q = -32227210/77 - -418542. Let s = q + -78/11. Suppose -k = -2*k + 4*z + 4, 2 = 3*k - 2*z. Sort 0.3, 10, k, s in decreasing order. 10, 0.3, k, s Let u = -3904.7 + 3908.7. Sort u, -21/65, 0.3. -21/65, 0.3, u Suppose 0*z - 17*z + 68 = 0. Let y be 50/(-18) - 4/18. Suppose 2*w - 4 = -2*c, 5*w + c - 5 = 1. Sort y, 5, w, z in increasing order. y, w, z, 5 Let i(p) = 220*p - 6125. Let k be i(29). Put -1, k, 4, 1, -2 in descending order. k, 4, 1, -1, -2 Suppose 0 = 5*p + 67 - 72. Let s(k) = k**2 - 9*k + 12. Let m be s(8). Sort p, 5, 0, m in decreasing order. 5, m, p, 0 Let c = -135 + 137. Suppose 22 = -4*n + c*v, 3*v - 7 = -n + v. Put 1, -1, n, -5 in ascending order. -5, n, -1, 1 Suppose -5*s = -3*s - 6. Suppose -8*q + 6*q - 5 = -s*b, 3*b + q - 11 = 0. Suppose 0 = -4*g + 164 - 168. Sort -5, b, g, -4 in decreasing order. b, g, -4, -5 Let w be (-343)/(-102) - (0 - -3). Let i = -2/851 - 783/28934. Let q = i + w. Sort q, 4, 0.3 in descending order. 4, q, 0.3 Let j = 0.02 + 0.38. Let y = -68.8 + 56.28. Let i = y + 1.52. Sort i, -0.4, j, -2 in ascending order. i, -2, -0.4, j Let g be (120/(-1350))/((-8)/(-20)). Put g, 27/4, -2/15 in descending order. 27/4, -2/15, g Let s = -4/15 - -2/3. Let z be (-4)/4 + 0 - -107. Suppose -z - 374 = -10*v. Sort s, v, 0.2 in descending order. v, s, 0.2 Let j = 2982 - 3004. Sort -6, 3, j, -2 in increasing order. j, -6, -2, 3 Suppose 0*q = -25*q - 0*q + 125. Let d(s) = -24*s + 5. Let j(t) = -5*t + 1. Let x(c) = 2*d(c) - 11*j(c). Let v be x(2). Sort v, q, -1 in ascending order. -1, q, v Let o be (-1)/((-99)/(-6))*(-3)/(-8). Let p = -14/11 - o. Let a = -0.63 + 0.13. Sort -0.3, 0.3, a, p. p, a, -0.3, 0.3 Let w be 528/728 - (-4)/(-7). Let b = 273 - 273.5. Sort b, w, 0.2, 0 in increasing order. b, 0, w, 0.2 Let q = -9724 - -9992. Sort -0.2, q, -3. -3, -0.2, q Let b be (-182)/1352*13 - (5/4 + -2). Suppose 0 = -0*q - 3*q - 12. Suppose 10 = -3*r + 3*c - 41, 3*r - 5*c = -61. Put b, q, r in descending order. b, q, r Let y = -2556 + 63888/25. Let q = -5794/29 - -1018561/5075. Let i = y + q. Sort 20/9, -1, i, 0.1 in descending order. 20/9, i, 0.1, -1 Suppose -41*i + 220 = -85*i. Put 3, -2/11, i, -0.1, 1/5 in decreasing order. 3, 1/5, -0.1, -2/11, i Suppose 15 = -3*j, 5*p + 2*j + 30 = -2*j. Let a(v) = v**3 + 19*v**2 - 3*v - 54. Let r be a(-19). Sort p, 4, -8, r in descending order. 4, r, p, -8 Let s = -717 - -647. Let b = 74 + s. Let l = -0.1 + 2.1. Put b, -0.4, l in increasing order. -0.4, l, b Let y(i) = i**2 + 5*i + 5. Let n be y(-3). Let o = 1 + n. Suppose 3*t + 7 = -2. Put t, -1, o in increasing order. t, -1, o Suppose 22*h - 31 = 33 + 24. Sort h, -2/25, -0.3, -3/5. -3/5, -0.3, -2/25, h Suppose 2*f - 5*b = -16, -2*f - 3*b + 2 = -7*f. Let w be (4 - -1 - f) + (-12)/2. Put 3, 2, w, -4 in ascending order. -4, w, 2, 3 Let r(k) = 7*k + 8. Let v(o) = 5*o + 8. Let d(h) = -3*r(h) + 4*v(h). Let y be d(10). Sort y, 0, 2 in ascending order. y, 0, 2 Let p = 193.4 - 186.4. Let i = 0.3 - -0.7. Put 5, i, -0.2, p in ascending order. -0.2, i, 5, p Let y = 19 - 15. Let t = -4.4 + 4. Let k = -0.45 - t. Sort k, y, 0.5 in ascending order. k, 0.5, y Let c be (-392)/(-84) + 1826/(-390). Put -4, 0.2, -2/7, c, -1/6 in ascending order. -4, -2/7, -1/6, c, 0.2 Let v = 0.6 - 0.22. Let m = 0.02 + v. Let a = -1165.8 - -1166. Sort a, -0.2, 5, m in descending order. 5, m, a, -0.2 Suppose 30 = -2*h + 4*q, -20*q + 16 = -4*h - 104. Sort -3, -1, h, 0, 67 in increasing order. h, -3, -1, 0, 67 Let j = -309.778 + -0.222. Let q = j + 307. Let m = -51/2 + 25. Put m, q, 1/5, 4 in descending order. 4, 1/5, m, q Let j be 14/(-21)*12/(-8). Let h be (20 - 28)*1/2. Let i = 11 + -16. Sort 11, j, i, h in increasing order. i, h, j, 11 Let v be (24/(-14))/(75/(-700)). Sort -6, v, -3 in decreasing order. v, -3, -6 Let h = 294 - 549. Let i = h - -252.8. Sort -0.5, 2/9, 0.4, i in decreasing order. 0.4, 2/9, -0.5, i Suppose -4*l = -662*r + 663*r + 23, -5*l = -5*r + 10. Sort 0, r, -2, 3, -8 in decreasing order. 3, 0, -2, r, -8 Let z be -10 - ((-7)/28 + 1/4). Let g = -3095 + 3092. Put z, -4, g in descending order. g, -4, z Suppose -4*w + 2*w - 5*i = -55, 2*w - 85 = 5*i. Let m be 58/70 - 15/w. Let h = -1.13 + -2.87. Sort -5, m, h in ascending order. -5, h, m Let b = 241/39 - 19/3. Let w = -2.1 - -1.9. Sort b, w, 2/13, 4 in ascending order. w, b, 2/13, 4 Suppose -40*d = -39*d + 64*d - 325. Let m = -2 + 0. Sort m, d, 22 in decreasing order. 22, d, m Let a = -0.157 + 0.071. Let j = -9.914 + a. Let r = -2 - 0. Put 2/7, j, r in decreasing order. 2/7, r, j Let a = 64.542 - 3.542. Let m = 119 - 62. Let j = m - a. Put -0.1, j, 2/7 in decreasing order. 2/7, -0.1, j Let v = 140 + -137. Let y = 36.5 - 48. Let g = y + 12. Put v, 0, -5, g in decreasing order. v, g, 0, -5 Let c = 48.41 - -0.59. Let n = c - 50.5. Let g = 1.5 + n. Put 4, -1/7, g, 1/5 in decreasing order. 4, 1/5, g, -1/7 Let v = 7.83 + -8. Let k = v - -11.87. Let q = k + -12. Put q, 5, -0.5 in decreasing order. 5, q, -0.5 Let v be (455/910)/((-1)/6). Suppose -3*d = -2*b - 15, 2*b = -0*b - 2*d + 10. Put b, 3, v, -16 in ascending order. -16, v, b, 3 Let x be (-27)/180*-10*(-4)/(-6). Put 0.2, -2, x, -8, -1/6 in decreasing order. x, 0.2, -1/6, -2, -8 Let j(n) = -4*n - 52. Let g be j(-11). Let b(i) = -i**2 + i + 15. Let q be b(g). Let r = -48 - q. Sort 1, r, 3, 4 in descending order. r, 4, 3, 1 Let q = -88276/273 + 2266/7. Let p = -5373/13 - -413. Let f = p - q. Sort f, 0.05, 1. f, 0.05, 1 Let x = -13429/6 + 2238. Put 0.3, x, -1.02, 6 in decreasing order. 6, 0.3, x, -1.02 Let h = 0.0254 + 0.0386. Let w = -0.536 - h. Sort 0.03, -1, w in increasing order. -1, w, 0.03 Let g be 2/(-4) - (1146/8)/3. Let q = -48 - g. Let u = -93 - -92.7. Sort q, u, -2 in decreasing order. q, u, -2 Let h be -302 - (-1 - 14/(-7)). Let v = h - -303. Put 0.5, -0.4, v, -3/5 in increasing order. -3/5, -0.4, v, 0.5 Let g(j) = -22*j**2 - 377*j - 37. Let k be g(-17). Sort k, -6, 8. -6, 8, k Suppose x - 2*o = -3, -20*o + 18*o + 6 = -4*x. Sort -2, -8, x, 36. -8, -2, x, 36 Suppose -3*v - 5*z + 88 - 78 = 0, 4*v + 3*z - 6 = 0. Put -121, v, -1 in decreasing order. v, -1, -121 Let w = -1.768 - -2.768. Let g = -4 + 3. Let z be -1 + g + (-15)/(-6). Put w, 3/2, z in decreasing order. 3/2, w, z Let j be 0 - (0 + (-4)/(-42)). Let f = 12394 + -12392. Sort j, -6, f in decreasing order. f, j, -6 Let n(w) = 3*w - 79. Let x be n(30). Let z(q) = -q**2 + 10*q + 15. Let g be z(x). Put 5, g, -1 in descending order. 5, g, -1 Let h = 7333 - 7336. Sort -2, 4, -50, h in decreasing order. 4, -2, h, -50 Let f be 16 - (1083472/68952 + (-2)/(-39)). Let t = 0.065 + 6.335. Let q = 6 - t. Sort f, 1, q in decreasing order.
{ "pile_set_name": "DM Mathematics" }
/7, 1/3? 6 What is the third smallest value in 0.2, 65, -5? 65 What is the second biggest value in -10, 0.3, 46? 0.3 Which is the second biggest value? (a) 0 (b) -2/3 (c) -3 (d) -13/2 b What is the smallest value in -0.3, 0.9, 217? -0.3 Which is the second biggest value? (a) 5/6 (b) 0.5 (c) -1/5 (d) 1 a What is the smallest value in -1, -1/4, 1? -1 Which is the third smallest value? (a) 6 (b) 18 (c) 0 (d) 3 a Which is the smallest value? (a) -5 (b) -0.4 (c) 199 a Which is the biggest value? (a) -2/51 (b) 2 (c) 0.1 b Which is the second biggest value? (a) 44 (b) 10 (c) -1/4 b Which is the fourth smallest value? (a) 2 (b) 4 (c) 1/5 (d) -2/11 (e) -5 a What is the second biggest value in 1.5, 1/2, -1? 1/2 What is the third smallest value in 2/7, 1/2, 3? 3 Which is the biggest value? (a) -2/105 (b) -0.4 (c) -4 a Which is the third biggest value? (a) 82 (b) 45 (c) 3 c What is the second biggest value in -20, -1, -3, 40? -1 Which is the second biggest value? (a) 73 (b) 0.01 (c) 0 b Which is the smallest value? (a) 6 (b) -1/18 (c) -3 c Which is the second smallest value? (a) 14 (b) -91 (c) 1/5 c Which is the smallest value? (a) -4 (b) 0.053 (c) 0.3 a Which is the third biggest value? (a) -1 (b) -1/4 (c) 5 (d) 2/9 b What is the second biggest value in -5, -8, 0.04? -5 Which is the third smallest value? (a) 8 (b) 1/4 (c) -0.1014 a Which is the biggest value? (a) 17/3 (b) -0.4 (c) 0.4 a What is the smallest value in 10, -3, -0.4? -3 Which is the smallest value? (a) 0 (b) -2/13 (c) -2/7 (d) -15 d Which is the biggest value? (a) 0 (b) -3 (c) 22/5 (d) 0.4 c Which is the third biggest value? (a) -1 (b) -1.1 (c) -5 (d) 2/7 b Which is the third biggest value? (a) 3/5 (b) -0.2 (c) 0.007 (d) -1 (e) -4 b What is the third biggest value in 74, 4, -2? -2 What is the second smallest value in -4, -1/3, -0.1, -1/2? -1/2 What is the smallest value in 1/4, 4, 0.2, 0? 0 Which is the biggest value? (a) -30 (b) 6 (c) -0.5 b Which is the smallest value? (a) 3/5 (b) 0.1 (c) 1 (d) 0 (e) -1 e What is the smallest value in 1, -139, 0.5, -3? -139 What is the second biggest value in 3, 1, -479.1, 4? 3 What is the biggest value in 9, -3/14, 2/3? 9 What is the fourth smallest value in -3, 6/13, -1/5, -2/3? 6/13 What is the fifth biggest value in 2/9, -3/44, 5/2, 0.03, 1/4? -3/44 What is the third biggest value in 0, 3, 0.071, 1? 0.071 Which is the second biggest value? (a) 3 (b) 0 (c) 13 (d) -3 a Which is the fourth biggest value? (a) 0.03 (b) 2 (c) 0.1 (d) -5 d Which is the third smallest value? (a) -2/19 (b) -0.3 (c) 13 (d) 2/17 d What is the third biggest value in -2/3, 144/17, -2? -2 Which is the fifth smallest value? (a) 0 (b) -0.5 (c) -2/3 (d) -12/7 (e) -0.1 a Which is the biggest value? (a) 3/7 (b) 0 (c) 5 (d) -2 c Which is the fourth smallest value? (a) -1 (b) 3/4 (c) 1/2 (d) -4 b Which is the second smallest value? (a) 4 (b) 0 (c) -4/15 (d) 0.2 (e) 2/9 b What is the third smallest value in -1/5, 4, 1/3, -8? 1/3 Which is the smallest value? (a) 14/11 (b) -3 (c) -5 c Which is the second smallest value? (a) 0.2 (b) 6 (c) -2 (d) 1/7 d Which is the second smallest value? (a) 2/7 (b) 0.2 (c) 8 (d) -0.101 b What is the third smallest value in 664, 3, -3/8? 664 What is the third biggest value in -4, -0.2, 0.33, 4? -0.2 What is the fourth biggest value in -2/7, -0.5, 0.2, -45, -2/5? -0.5 Which is the third biggest value? (a) 1.2 (b) 10 (c) 2/7 (d) -4 (e) 0.3 e What is the second biggest value in 2/9, 0.2, -3/88? 0.2 What is the third smallest value in -7/4, 3, 0.3? 3 What is the third smallest value in 3, 0.8, 2, 0.2? 2 What is the fourth biggest value in -1, -2, -5, -2/31? -5 What is the biggest value in 4.6, -2/5, 3, -4, 0.05? 4.6 What is the second smallest value in 2, -5, -3, -1/6? -3 Which is the third smallest value? (a) -11 (b) 0.5 (c) -5 (d) 2 b Which is the third biggest value? (a) 0.3 (b) 10 (c) -0.07 c Which is the biggest value? (a) -0.1 (b) -0.5 (c) -20 (d) -5 a Which is the third smallest value? (a) -3 (b) -2 (c) -19 (d) -5 (e) 0.4 a Which is the third smallest value? (a) -4 (b) -5 (c) -280/13 (d) 0.2 a Which is the smallest value? (a) 7/8 (b) 4/5 (c) -2.1 c Which is the smallest value? (a) 0 (b) 1/8 (c) -2 (d) 12 c Which is the fourth smallest value? (a) -1/4 (b) 970 (c) 1/4 (d) 1/9 b What is the biggest value in -51, -4, -0.06, 1? 1 What is the second smallest value in -1/2, -2, 22? -1/2 What is the biggest value in 3, 9.5, 3/10, 5? 9.5 What is the biggest value in -3/8, 0.4, 0.16, -0.6? 0.4 Which is the biggest value? (a) -1320 (b) -3 (c) 4 c Which is the second biggest value? (a) 0.4 (b) 3 (c) 4/9 (d) 5 b What is the third smallest value in -0.1, -7, -4/3? -0.1 Which is the smallest value? (a) -1/9 (b) 2 (c) -1/2 c What is the second smallest value in 1/3, 11, 72, -0.3? 1/3 What is the second biggest value in -13/6, -2, -0.5, -1, -2/21? -0.5 Which is the fourth biggest value? (a) -0.1 (b) 5 (c) 4 (d) -4/23 d Which is the fourth smallest value? (a) 56 (b) 8 (c) 1/2 (d) -3/4 (e) 0 b Which is the fourth biggest value? (a) -4/11 (b) 47 (c) 2/17 (d) 5 a What is the fifth biggest value in 2/9, -17/6, 4, 2, -2/3? -17/6 What is the smallest value in -3/4, 0, -1/41, 1/4? -3/4 What is the biggest value in -86, -59, 1/3? 1/3 What is the third biggest value in -4, 4, -0.1? -4 What is the third biggest value in 1/6, 96, 3? 1/6 What is the second biggest value in -0.1, -3, -1, -1/4, 1? -0.1 What is the second biggest value in -2/1379, -0.1, 4/5? -2/1379 Which is the second biggest value? (a) -3 (b) 3 (c) -1725 a Which is the fourth biggest value? (a) -3/1819 (b) 1 (c) -5 (d) 1/7 c Which is the smallest value? (a) -2 (b) 1/2 (c) 127 a Which is the third smallest value? (a) 0.08 (b) -0.5 (c) 0 (d) -4 (e) -2 b What is the second smallest value in -23, 0, -2/3, 2? -2/3 Which is the third smallest value? (a) 5/7 (b) -1 (c) 2/5 (d) -5 (e) -3 b Which is the smallest value? (a) -1/2 (b) -6/11 (c) 0.02 (d) -1/18 b Which is the fourth biggest value? (a) 0.5 (b) 25 (c) 1 (d) -2 d Which is the third biggest value? (a) 5/2 (b) 46 (c) 4/3 (d) -3 (e) -0.1 c Which is the third biggest value? (a) -1 (b) -2/61 (c) 1 (d) -3/4 d Which is the third biggest value? (a) -5 (b) -3 (c) -0.6 (d) 4 b Which is the second smallest value? (a) 0.2 (b) -227 (c) -5 (d) -0.3 c Which is the fifth smallest value? (a) -0.25 (b) 0 (c) -0.3 (d) -0.5 (e) 5 e Which is the third biggest value? (a) -82 (b) 0.4 (c) 2 (d) 0.5 (e) -1 b What is the smallest value in -2, -2.6, -0.4, -4? -4 Which is the second biggest value? (a) 3 (b) 1/7 (c) -1.9 b Which is the third biggest value? (a) 4/5 (b) 1/2 (c) 0.3 (d) -5 c What is the fourth biggest value in 5/3, 5, 16/7, 9? 5/3 Which is the second smallest value? (a) -5 (b) -4 (c) -1 (d) -26.4 a What is the smallest value in -415, -0.4, -0.2, -50? -415 Which is the smallest value? (a) 0.4 (b) -2/9 (c) -2/3 (d) 2 c Which is the smallest value? (a) 2/9 (b) 1/107 (c) -2/7 c Which is the fourth smallest value? (a) -1/3 (b) -4 (c) -0.02 (d) -1 c What is the second biggest value in -1/4, -6, 4/3? -1/4 What is the smallest value in 2/5, -4, 14? -4 Which is the third biggest value? (a) 295 (b) 2 (c) -3 (d) 4 (e) 0.2 b What is the fourth smallest value in 1, -0.2, 0.5, 64, 4? 4 What is the third biggest value in 2, 4, 6, -1.2? 2 Which is the second smallest value? (a) 0.1 (b) 1 (c) 13 (d) 2/7 (e) -0.1 a What is the fourth biggest value in -1/2, -5, 0.4, -8? -8 What is the third smallest value in 15.36, 4/5, -4, -5? 4/5 Which is the fourth smallest value? (a) -4 (b) 0.058 (c) -1/3 (d) -15 b Which is the third biggest value? (a) 5 (b) -10.6 (c) -2/7 (d) 1 c What is the third biggest value in 0.27, 0.13, -0.2, 3/7? 0.13 What is the second smallest value in 1/3, -0.4, 0.277? 0.277 What is the third smallest value in -0.07, 0.2, -0.65? 0.2 Which is the second biggest value? (a) 0.11 (b) 1/92 (c) 2/5 a Which is the third biggest value? (a) -0.01 (b) 0.5 (c) 0.08 a Which is the smallest value? (a) -2 (b) 34/13 (c) 0.
{ "pile_set_name": "DM Mathematics" }
Let t(a) = 2*a**3 + 15*a**2 - 9*a - 3. Let h be t(-8). Let n be (8/(-10))/(6/(-15)). Suppose u = -h*r + 23, -n*r = 3*r - 2*u - 29. Solve r*k = -0*k for k. 0 Suppose -4*u + d = 6*d + 426, -3*d + 333 = -3*u. Let r = u - -115. Solve -3*z + 3 = -r*z for z. -1 Let o(m) = -m**3 - 18*m**2 + 5*m + 26. Let j(v) = -v**3 - 19*v**2 + 4*v + 25. Let y(p) = -4*j(p) + 3*o(p). Let b be y(-22). Solve b = -3*d - 3 for d. -1 Let p(r) = 2*r**3 - 2*r + 11*r**2 - 2 + 3*r - 8*r. Let a be p(-6). Solve 0*m + a = m for m. 4 Let b = 3 + 2. Suppose 0 = 2*d + 5*t - 21, -b*d + 12 = -0*t - t. Let p(m) = m + 5. Let w be p(0). Solve -2*k = d*k + w for k. -1 Let o(f) be the first derivative of -f**4/4 + 7*f**3/3 + 7*f**2/2 - 47*f - 31. Let l be o(7). Solve -s = -l*s + 1 for s. 1 Suppose -12*j + 14*j = 4. Suppose -18 = j*h + 12. Let k be h*((-6)/9)/2. Solve z = k*z + 16 for z. -4 Let p be ((-1 + -1)/(-2))/((-3)/36). Let i be (-14)/(-3) - (-8)/p. Solve -1 - 7 = -i*a for a. 2 Let s = -920 + 924. Solve 10*d + 30 = s*d for d. -5 Let o(c) = c**2 + 25*c - 22. Let h be o(-27). Suppose -12 + h = p. Solve 4*z + 0 = p for z. 5 Let j(a) = -17*a - 818. Let i be j(-49). Solve 0 = i*n + 63 + 12 for n. -5 Let g(a) = -a**2 - 5*a + 5. Let q be g(-6). Let x be (2 - (q - -3)) + 0. Solve -2*b + 8 = -x*b for b. 4 Let l(q) = q**3 + 8*q**2 + 6*q - 5. Let p be l(-7). Solve -12*c + 20 = -p*c for c. 2 Let o be ((-920)/50)/(2/(-5)). Let m be (4 + o/(-10))*-5. Suppose 0*y - 2*y + 8 = 0. Solve -m*n + y = n for n. 1 Suppose -9 = -3*x + 2*h, 2*x - 2*h - 4 = 2. Let i = x + -4. Let v be (-1)/(i + -1)*30. Solve 2*z - 7*z = -v for z. 3 Suppose a + 2*t - 10 = 0, -2*a - 12 = 2*a - 5*t. Suppose r - a*h - 11 = -0*r, 0 = -r - 2*h - 9. Solve b + 0*b - r = 0 for b. 1 Let z = 3012 - 2978. Solve -7*u = 10*u + z for u. -2 Let w = -1186 + 1207. Solve 6*o + w = 27*o for o. 1 Let k = 53 - 48. Suppose -7*r - 44 = -4*o - 3*r, -4*r - 50 = -k*o. Solve o = -0*s - 3*s for s. -2 Suppose -3*q + 4*t - 134 = 0, 3*q + 5*t + 116 = -0*t. Let r = -39 - q. Let x(z) = -z**2 + 2*z + 1. Let a be x(2). Solve -4*s + r = -a for s. 1 Suppose -3*v = -3*s + 17 + 4, 0 = 2*s - 5*v - 20. Suppose 16 - 36 = -s*x. Solve -p - 20 = x*p for p. -4 Suppose -d - 2*m = -12 + 8, 0 = 2*d - 2*m + 4. Solve -3*o + 2 - 17 = d for o. -5 Let g = -3 + 7. Suppose 0 = 8*y - 5*y - 3. Let i be 2 + (1 + y - 2). Solve 3*k - i*k + g = 0 for k. -4 Suppose 0*h - 5*t = 2*h - 31, 2*h = 2*t - 4. Suppose -3*l - h*p = 3, l + 0*p + 5*p - 11 = 0. Let n(v) = v**2 + v - 6. Let c be n(l). Solve -i = i + c for i. -3 Let u be (-108)/14 - (-24)/(-84). Let o(c) = -c - 2. Let s be o(u). Let k = 26 - 24. Solve k*x = -0*x + s for x. 3 Let n(l) = -10*l - 90. Let z be n(-9). Solve z = -7*h + 4*h for h. 0 Let p(d) = d**3 + 10*d**2 + 2*d + 22. Let v be p(-10). Solve -9*u + v = 47 for u. -5 Let q be (1 - 0)/(1/(-24)). Let a = 44 + -77. Let f = q - a. Solve 4*v - f = v for v. 3 Let o(w) = -w**2 - 7*w + 3. Let i be o(-7). Let x be 4/26*-1 - (-106)/13. Solve 0 = i*m + m - x for m. 2 Let r = 36 + -59. Let t = 35 + r. Let l = -12 + t. Solve l = 3*f + 2*f - 10 for f. 2 Let m(r) = r**3 - 7*r**2 + 14*r - 45. Suppose -12 = 8*c - 10*c. Let z be m(c). Solve -z + 18 = -3*t for t. -5 Suppose 4*z - 3*r = -1, r - 14 = -4*z - r. Let o = -90 + 131. Suppose -38*l = -o*l + 9. Solve 0 = -z*f - l*f for f. 0 Suppose -4*g + 11*l - 5 = 6*l, 5*l = 3*g + 5. Suppose u - 4*u + 42 = g. Let k = -12 + u. Solve 3*f - k = -14 for f. -4 Let b(g) = -7*g - 62. Let k be b(-10). Solve 8*n - 12*n = -k for n. 2 Let z = 7 - 5. Solve z = w - 2*w for w. -2 Suppose -q + 8 = 3*q + 3*j, -3*q - j = -6. Let x be (-16)/(-3)*3/2. Suppose 2 = q*h - x. Solve h*v = 7 + 13 for v. 4 Suppose 25*c = 7*c + 486. Solve 9*u - c = -0*u for u. 3 Let z = 1 + 2. Suppose 6*g = z*g + 9. Suppose -3*o + g*f + 6 = 0, 5*f - 13 - 2 = 0. Solve 2*c - o = -1 for c. 2 Suppose 23*i - 222 = -14*i. Solve -7 = i*t + t for t. -1 Let h = 8 - 8. Suppose h*l - 2*l - 50 = -2*g, 3*g + 4*l = 40. Solve 6*z - 2*z - g = 0 for z. 5 Suppose -48*v - 9*v = -399. Solve v*q - 5*q = 4 for q. 2 Suppose 3*z - 33 = 2*y, 2*y - 4*y - 11 = -z. Let b = 25 - z. Suppose 13*t + 11 = 10*t + 4*j, -2*t + 5*j - 19 = 0. Solve t*h = -1 - b for h. -5 Let i be (-1)/(-3) - 364/39. Let w be 2/i - 87/(-27). Suppose 10 = w*n - 5. Solve -n = -3*c - 2 for c. 1 Suppose -2*f - 2*t = -24, 2*t = 3*t. Let b(s) = -s**3 + 10*s**2 + 23*s + 14. Let u be b(f). Solve 0*l - u = l for l. -2 Suppose 0*z - 100 = -4*z - 2*q, -5*z = 5*q - 130. Let j = 1237 + -1231. Suppose j*b + z = 114. Solve 4*a - a - b = 0 for a. 5 Let r be 29/2 - (195/10 + -19). Solve -10*s + 8 = -r*s for s. -2 Let a = -1086 - -1115. Solve a*w = 28*w - 2 for w. -2 Suppose -4 = -8*w - 4. Solve w = -f + 5*f + 4 for f. -1 Let t be (-120)/(-55) - 1/((-33)/(-6)). Solve t*p + p + 0*p = 0 for p. 0 Let u be (-4)/1 - (-1458)/81. Let z be 2/(-3) - (-14)/3. Solve z*w - u + 2 = 0 for w. 3 Suppose 2*l = 3*m - 4, 4*m = -m - 3*l + 13. Suppose -2 = -m*o + o. Let q(y) = -y**2 + 2*y + 2. Let h be q(o). Solve -w + h*w = 3 for w. 3 Let p be (279/(-155))/(9/(-30)). Solve -7 = -p*z + 23 for z. 5 Let u = -84 - -94. Solve -g + u = g for g. 5 Suppose g - 31 = -4*u, 2*g - 46 = -2*u - 14. Suppose 0 = -10*i + g + 39. Let k be 1/(2 - 3/2). Solve i - 1 = -k*l for l. -2 Suppose 2*u = 4*w - 16, -3*u - 4*w + 5 = -11. Solve -3*h + 6*h + 15 = u for h. -5 Let d(q) = -q**3 + q**2 + 7*q + 6. Let t be d(4). Let c be 2/(-4)*(t - (-4 + 0)). Solve 0 = -3*l - 2*l + c for l. 1 Let n = -253 - -258. Solve -1 = -2*r - n for r. -2 Suppose -2*t = t - 6. Let c = -5 - 1. Let x be 2/(-4)*(c - t). Solve x*l = -l for l. 0 Let f be -24*(-1 - (-3)/12). Solve -f = -19*n - 94 for n. -4 Let s be 2/8 - 228/(-48). Suppose s*m = 6*m. Solve m*j = -j for j. 0 Let b(u) = -3*u**3 + 5*u + 1. Let l be b(-2). Let c = -12 + l. Solve -3*k - c = -6*k for k. 1 Let p be 4/(-10) - (-17)/5. Let s be -4*3/p*-1. Let h = -18 + 22. Solve -h*g + 0 = -s for g. 1 Let d be (-4)/1 - ((-66)/11 + 0). Solve d*a - 22 = -16 for a. 3 Suppose 1 = 3*g - 14. Suppose -22 = -g*z - w - 0*w, 4*z = -w + 17. Solve m - z = 6*m for m. -1 Let u(w) = w + 6. Let p be u(-4). Let t = 7 - 4. Suppose 3*j + 5*k = 40, -4 = 2*j - t*j - 4*k. Solve -j = 3*x + p*x for x. -4 Suppose 0 = 2*t - 6, 0 = -4*b + 75*t - 78*t + 153. Solve 4*h + b = 36 for h. 0 Let m(l) = -l**2 - 6*l. Let s be m(-7). Let y(b) = -3*b - 9. Let f be y(s). Solve -r = -5*r - f for r. -3 Suppose 1463 - 1507 = -u. Solve -6*y = 5*y - u for y. 4 Suppose -8*x - 26 + 130 = 0. Suppose 10*v + 6 = x*v. Solve -3*o = -o - v for o. 1 Let g = 94 - 90. Let s be (g - 11/2)/(4/(-8)). Solve 2*q + 5 = s*q for q. 5 Let p(u) = -3*u - 1. Let a be p(-3). Suppose 0*l + a = 2*l. Solve -2*o - 8 = -l*o for o. 4 Let x be (-1 - -3)/((-6)/(-12)). Let d(t) = -t - 4. Let z be d(-8). Suppose -3*n - 27 = -3*v - 8*n, -28 = -z*v - x*n. Solve -10 - 6 = -v*m for m. 4 Let o = -83 + 123. Suppose f = 3*f - o. Let a(b) = b + 3. Let q be a(-3). Solve q = -m - 3*m + f for m. 5 Suppose -94*j = -95*j + 40. Solve -3*g = -13*g + j for g. 4 Let b(r) = -12 + 0*r + 2*r + 2 - r**3 + 0*r + 7*r**2. Let m be (-7*1)/(-7 - -6). Let k be b(m). Solve -1 = -k*c + 3 for c. 1 Let h(t) = 2*t**3 - 2*t**2 - 3*t - 3. Let w be h(3). Let q be -1 + 3 - (-5 + (-2)/(-1)). Suppose q*a = 11 + w. Solve -4*i + a*i = -6 for i. -2 Let j(s) = 6*s - 2. Let p be j(3). Solve -p = 3*x - 7 for x. -3 Let d(x) = -9 - 2*x**3 + 3*x**3 - 10*x**2 - 2*x**3 + 6*x + 4*x. Let y be d(-11). Suppose 0 = -86*w + 96*w. Solve n - 2*n + y = w for n. 2 Let z = -88 + 101. Suppose -7*i + z = -2*i - p, 5*i + p - 7 = 0. Solve 0 = i*k + 2*k for k. 0 Suppose -h + 2 = -0*h. Let b(l) = l + 14. Let f be b(-12). Let u be ((-40)/12)/(f/(-6)). Solve -3*t + u = h*t for t. 2 Let a be (2 + 0 + 2)*102/136. Solve 7*l + a*l = 30 for l. 3 Suppose -4*v - 8 = -16. Solve -7*d - 10 = -v*d for d. -2 Suppose -3*f = -4 - 17. Suppose -5 - f = -3*r. Solve 0*m = -m - r for m. -4 Suppose -279 - 127 = -58*q. Solve -q*y + 8*y = 3 for y. 3 Suppose 2*g - 3*f = 0, 5*g - 4*f - 5 = 2. Suppose -7*j - 56 = -g*j. Let d = 16 + j. Solve 0 = -y + d + 2 for y. 4 Let m(w) = w**2 + w - 28. Let z be m(7). Suppose -22*c = -z*c + 30. Solve 5*a + c = -0 for a. -1 Let m(y) = 3*y**2 - 5*y - 24. Let d be m(4). Solve -d*i - 20 = 6*i for i. -2 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
359/253 - 2/c a multiple of 21? True Suppose 0 = 10*w - 13*w + 9. Suppose 0 = 3*q + w - 9. Suppose 40 = 2*h + q*h. Does 4 divide h? False Suppose 4*k - 5*k = -3*t - 44, 5*k + t = 252. Let a = 14 - k. Let r = a - -77. Is 8 a factor of r? False Suppose -6*j + 8247 = -2229. Is j a multiple of 97? True Suppose 2*b = 3*s + 6*b - 134, 0 = -3*b - 12. Is s a multiple of 10? True Suppose 2*v - 2 = 5*r - 0*v, -2*v - 18 = 5*r. Let y = 40 - r. Let d = 92 - y. Is d a multiple of 15? False Let v = 104 + -70. Suppose 0 = 4*h + 5*f - 7 - v, 3*h - f = 26. Is h even? False Suppose l + q - 251 = 0, 507 = 4*l + q - 503. Let p = -121 + l. Suppose 14*n = 11*n + p. Is 25 a factor of n? False Does 6 divide (-155)/(-3) + 5/(-3) + -4? False Is 22 a factor of (-1)/((-233910)/23390 + 10)? False Suppose 4*b - 1 = 23. Suppose -28*w - 22 = -30*w. Suppose -w*p + 40 = -b*p. Is p a multiple of 4? True Suppose n + 8 = 2*j, -2*j - 20 = -0*n + n. Let z = -94 - n. Let b = -55 - z. Does 14 divide b? False Let h = -20 - -15. Let r(k) = -k**3 - 2*k**2 - 7*k - 17. Does 12 divide r(h)? False Let m(k) = -2*k + 8. Let b be m(5). Is 1/3 + (b - (-627)/9) a multiple of 17? True Suppose 2*u = -3019 - 3045. Is 12 a factor of 6/(-27) - u/36? True Suppose 2044 = 4*u - d, -5*d + 2068 = 17*u - 13*u. Is 20 a factor of u? False Let v = 92 + -79. Suppose -v - 39 = -i. Is 9 a factor of i? False Let o = 1861 - 1021. Suppose -o = -40*r + 34*r. Does 20 divide r? True Let o be 3 + -3 + -1 + -1. Suppose -31*n + 8*n + 1311 = 0. Let y = o + n. Is y a multiple of 11? True Suppose -s = 4*y - y - 717, 0 = -5*y + 3*s + 1209. Does 8 divide y? True Let a(j) = j + 10. Let v be a(-5). Suppose w + 142 = 2*s, -4*s - v*w + 294 = 24. Suppose 18 - s = -g. Is 26 a factor of g? True Let b be -33 - (2 - 5)*1. Let j(i) = 6*i - 10. Let d be j(9). Let k = d + b. Is 14 a factor of k? True Let m be 9/(-6)*24/(-9). Suppose -m = -s + 3*s. Is 23 a factor of 115/s*30/(-25)? True Let a(q) = q**3 + 9*q**2 + 3*q - 12. Does 21 divide a(-8)? False Suppose 4*q + 2*y + y + 102 = 0, -5*q + 2*y - 139 = 0. Let x = q + -24. Is 5 a factor of (-289)/x + (-2)/3? True Let b = 1177 + -637. Is 45 a factor of b? True Let u = -899 + 948. Is u a multiple of 3? False Suppose q + 400 = 3*q. Suppose -3*v + q = -160. Does 30 divide v? True Let v(h) = -h**2 + 2*h + 34. Let n be v(0). Is (2 - -1)*n/6 a multiple of 3? False Let q = 8 - 11. Is 6 a factor of 10 - q - (-12)/(-6)? False Suppose 4*n + 4*d = 8920, -11*n + 14*n - 6720 = 3*d. Does 149 divide n? True Suppose 0 = o - 2*l + 2, -3*o - 2*o = -2*l - 14. Suppose 2*g - 295 = -3*m, 0*g + o*m + 274 = 2*g. Does 29 divide g? False Let l(v) = 3*v**3 + v + 3 - 11*v**3 - 2. Let w be l(-2). Suppose 0 = 5*q + d - 74, q - 3*d - w = -3*q. Does 12 divide q? False Let w be ((-72)/2)/(8/(-268)). Suppose -g = 2*g + w. Is 15 a factor of 2/7 - g/14? False Suppose 0 = 3*p + 2 - 8. Suppose -k + 37 = h, 2*k - 108 = -3*h - p*k. Is 7 a factor of (h/15)/(1/3)? False Let b(g) be the third derivative of -g**6/120 - g**5/10 - 7*g**4/24 - 5*g**3/6 - 3*g**2. Let q be b(-5). Is (25 - q) + (-1)/1 a multiple of 13? False Suppose -2*h = -4*n + 2546, 4*n - 177 = -4*h + 2339. Is n a multiple of 29? False Let k = -44 - -50. Let s(f) = 4*f + 4. Does 10 divide s(k)? False Let u be (-105)/(-42) + (-1 - 2/4). Is (u/2)/((-11)/(-4136)) a multiple of 17? False Let k(v) = 4*v**2 - 2*v - 5. Let o be k(-4). Suppose 0 = -d - 5*g + 123, 5*d = 4*g - g + 475. Let b = d - o. Does 13 divide b? False Suppose -3*n - 13 = -y, -3*n - 15 = 2*n. Let s(c) = -c**3 + 3*c**2 + 3*c - 4. Let b be s(y). Let j = 23 + b. Is 5 a factor of j? True Let z(q) = 71*q**3 + 2*q. Does 26 divide z(2)? True Suppose 2*m - 146 = 66. Let v = m - -43. Does 16 divide v? False Is 9 a factor of (-188 + 206)*(233/2)/1? True Let d(h) = 7*h + 39. Let m be d(-6). Is m*322/(-12) + 1/2 a multiple of 37? False Let f be 0 - 0/((4 - 3)*2). Suppose y + 5*j - 43 - 58 = 0, -5*y - j + 481 = f. Is y a multiple of 29? False Suppose -3*z - 9 = -h, 5*h + 5*z - z - 102 = 0. Let i = 21 - h. Let x(t) = 5*t**2 + 3*t + 4. Is 14 a factor of x(i)? False Let y be 5/(-4 - -5 - 2). Is 6/y*(-19 - 1) a multiple of 3? True Suppose -4*i - 3*o + 2*o = -107, 81 = 3*i + o. Let t = i + 1. Does 5 divide t? False Let x(c) = -c**2 + 10*c - 16. Let a be 7*-4*(-4)/16. Let y be x(a). Suppose -3*q = y*b - 2*b - 153, 3*q - 157 = -5*b. Does 7 divide q? True Suppose 0 = 51*h - 48*h - 312. Does 26 divide h? True Suppose -13*l = -14*l + 2. Suppose -2*g = -s + l*s - 18, -4*g = s - 26. Is s a multiple of 7? False Suppose -2*k + 228 = p, -2*k + 413 = 3*p - 251. Does 28 divide p? False Suppose 3*v + 3*w = 60, -6*v + 3*w + 20 = -4*v. Is 3 a factor of v? False Suppose -5*h + 14 - 4 = 0. Suppose -h*s = -3*s + 17. Suppose 5*z + s = 6*z. Does 15 divide z? False Let z = 822 + -192. Is 15 a factor of z? True Let s(v) = v**3 + 17. Let j = 14 - 12. Let d = j - 2. Is s(d) a multiple of 8? False Suppose 10*j - 19 = 9*j. Let f = j - 17. Suppose -f*b + 36 = 3*o, -2*o = 5*b - 10*b + 128. Is 6 a factor of b? True Let n = 6 + -5. Let y be n/2 + 190/4. Suppose -80 = -4*s + y. Is 23 a factor of s? False Suppose -5*u - z = -1 - 44, -5*u + 2*z = -45. Is u a multiple of 5? False Let k be (126/(-35))/((-6)/280). Suppose -4*w + k = -92. Is w a multiple of 13? True Let t = -2 + -8. Is (-1 - -19) + (t - -12) a multiple of 4? True Let m(n) = -n + 47. Let u be m(9). Let r = 70 - u. Does 8 divide r? True Suppose -336 = -88*b + 87*b. Does 24 divide b? True Suppose -5*l + 30 = -0*l. Suppose -l = -4*h + 6. Suppose 4*k - h*u - 241 = 0, -u = -5*k + u + 310. Does 25 divide k? False Let f(s) = -s**3 + 11*s**2 + s - 4. Suppose 4*v - 2*v = 0. Suppose -5*a + 27 = 2*r, v*r = -3*r - 4*a + 37. Is 7 a factor of f(r)? True Suppose 39*g - 47*g = -8304. Does 61 divide g? False Let v(x) = x**3 + x**2 - 4. Let n be v(2). Suppose 0 = 4*p - n*p. Suppose -t - i = -4, 0 = -4*i - p*i. Is t a multiple of 2? True Suppose -19*d + 8*d = -21054. Is 11 a factor of d? True Let d be (-3 - -4) + 33 - 1. Suppose b - 43 = -h, 0 = 3*b - 2*b + 3*h - d. Is 16 a factor of b? True Suppose 11*k - 351 = 8*k. Suppose 18 = 3*x - k. Is 9 a factor of x? True Suppose 111 = -11*x - 43. Does 23 divide (-35)/x*184/10? True Let n(j) = 2*j**2 + 5*j + 7. Let x be n(-3). Suppose x*v - 1584 = v. Is 14 a factor of v? False Let l be (-2)/(-4*(-3)/894). Let y = -61 - l. Is y a multiple of 16? False Let b(y) = -69*y + 117. Does 5 divide b(-12)? True Let y(h) = 6*h - 36. Let i(f) = 2*f - 12. Let a(x) = 10*i(x) - 3*y(x). Let m be (-10 - (-76)/4) + 1/(-1). Is 2 a factor of a(m)? True Let w = 7 + -1. Suppose w = h - 12. Let o = h - -8. Is o a multiple of 11? False Suppose k + 162 = 2*d, -3*d + 243 = -0*k - 2*k. Is d a multiple of 13? False Let a(n) be the third derivative of n**5/60 + n**4/12 - n**3/6 + 40*n**2. Does 24 divide a(-13)? False Suppose 0 = -0*f + 3*f - 2*j + 2, -18 = f - 5*j. Let a(t) = -12*t**2 - 4*t + 6. Let v(z) = z**2 + z - 1. Let w(i) = -a(i) - 5*v(i). Is 5 a factor of w(f)? True Let u(b) = 23*b + 23*b - 26 + 3*b**2 - 49*b - 2*b**2. Is 21 a factor of u(-12)? False Suppose -2*l = 3*m - 1315, 2*l - 2*m - 528 - 762 = 0. Does 25 divide l? True Let n(f) = 4*f**2 + 9*f. Let u = -19 + 24. Let j = -1 - u. Is 27 a factor of n(j)? False Let j = 30 - 34. Let m be 1 - 0 - (-65 + j). Is (-412)/(-14) - (-40)/m a multiple of 7? False Let x(n) = -279*n**3 + n**2 - 3*n - 3. Does 10 divide x(-1)? True Suppose 0 = 4*d - 5*a - 3, 4*a - 53 = -4*d - a. Suppose 0 = -11*w + d*w - 16. Is 108/(-9)*w*1 a multiple of 24? True Suppose -4*y + y = 2*f + 11, f - 4*y = 22. Let d = 22 - 20. Suppose -d*r + 56 = f*r. Is 14 a factor of r? True Suppose -h - 4*g + 665 = 0, -3*h + 697 + 1253 = 3*g. Does 41 divide h? False Let h(c) = 27*c**2 + 10*c - 28. Let v be h(6). Suppose 13*w - 1141 = v. Is 22 a factor of w? False Let b(y) = y**3 + 5*y**2 - 8*y - 8. Let t be b(-6). Suppose 5*j - q = 606 - 180, 81 = j + t*q. Is j a multiple of 8? False Suppose -3*n + 707 = 5*y, n - 632 = -4*y - 65. Is y a multiple of 4? False Let u = 267 + 43. Is 31 a factor of u? True Let o(w) = w**3 + 4*w**2 - 3*w + 2. Let r be o(-4). Suppose 0 = -11*t + r*t - 138. Does 13 divide t? False Suppose -5*g - 3*s + 14 = -4*g, -5*s + 30 = 5*g. Suppose 5*w = 3*l - 40, g*l + 3*w -
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {j: 9, x: 3, e: 7}. What is prob of sequence je? 7/38 Three letters picked without replacement from gvvgvvvvgvv. What is prob of sequence ggg? 1/165 Two letters picked without replacement from {g: 7, w: 9}. Give prob of sequence wg. 21/80 Four letters picked without replacement from {l: 4, y: 3, f: 2, v: 2, e: 3, g: 1}. Give prob of sequence vlyg. 1/1365 Two letters picked without replacement from {h: 2, z: 1, y: 1, e: 1}. What is prob of sequence ey? 1/20 Calculate prob of sequence cn when two letters picked without replacement from {w: 9, u: 1, c: 1, n: 4, y: 4}. 2/171 Three letters picked without replacement from cvxqyqc. Give prob of sequence vqq. 1/105 Two letters picked without replacement from {h: 1, p: 1, y: 1, q: 1, a: 1}. Give prob of sequence pq. 1/20 Two letters picked without replacement from {m: 1, q: 2, t: 2}. What is prob of sequence qq? 1/10 Four letters picked without replacement from {h: 2, t: 2, c: 1, l: 1, v: 1}. What is prob of sequence tlth? 1/210 What is prob of sequence lll when three letters picked without replacement from {l: 4, c: 3}? 4/35 What is prob of sequence llel when four letters picked without replacement from yzzyelqllzlccze? 2/1365 Three letters picked without replacement from ubbuuubbubuuuu. What is prob of sequence uub? 15/91 What is prob of sequence gj when two letters picked without replacement from {j: 1, g: 1, f: 1}? 1/6 Calculate prob of sequence rtht when four letters picked without replacement from ttethereetertteerrtt. 28/14535 Three letters picked without replacement from ffddfffiiidifdiff. Give prob of sequence idi. 1/51 Calculate prob of sequence pp when two letters picked without replacement from {z: 5, h: 3, y: 2, p: 3, v: 3, f: 3}. 1/57 Calculate prob of sequence ggg when three letters picked without replacement from ggabggagbba. 2/33 Four letters picked without replacement from cifwccfxc. What is prob of sequence fccf? 1/126 Two letters picked without replacement from {v: 1, r: 1, f: 6, e: 1, a: 1, t: 1}. Give prob of sequence re. 1/110 Calculate prob of sequence lmmm when four letters picked without replacement from mlmmmmlmml. 1/8 Two letters picked without replacement from {x: 9, p: 7}. What is prob of sequence pp? 7/40 Four letters picked without replacement from {p: 2, o: 1, z: 1, b: 1, f: 4}. Give prob of sequence bopf. 1/378 Two letters picked without replacement from {p: 2, i: 1, r: 1, n: 1}. Give prob of sequence pn. 1/10 Calculate prob of sequence tju when three letters picked without replacement from {r: 7, x: 1, s: 4, j: 1, u: 4, t: 2}. 4/2907 Four letters picked without replacement from okfzkoufokzk. What is prob of sequence zkuk? 1/495 What is prob of sequence ssz when three letters picked without replacement from zzszzxss? 1/14 Four letters picked without replacement from {d: 1, l: 7, h: 2, t: 2, b: 4, o: 4}. Give prob of sequence llhh. 7/9690 Four letters picked without replacement from {k: 1, z: 1, h: 1, g: 2, d: 1, q: 1}. What is prob of sequence zkdg? 1/420 What is prob of sequence naa when three letters picked without replacement from {n: 5, a: 3}? 5/56 What is prob of sequence bnb when three letters picked without replacement from {n: 2, b: 11, t: 1}? 55/546 Two letters picked without replacement from {l: 3, i: 4}. Give prob of sequence ll. 1/7 Two letters picked without replacement from {p: 7, t: 1, z: 4, a: 1}. What is prob of sequence at? 1/156 Calculate prob of sequence sss when three letters picked without replacement from {g: 2, b: 2, s: 4}. 1/14 Two letters picked without replacement from {z: 3, d: 4, r: 6}. What is prob of sequence zd? 1/13 Four letters picked without replacement from {n: 2, k: 2, o: 1, q: 2, e: 7, t: 1}. What is prob of sequence oken? 1/1170 Two letters picked without replacement from qqqqlqqqqlqq. Give prob of sequence lq. 5/33 Three letters picked without replacement from {b: 3, j: 1, p: 1, d: 7}. What is prob of sequence jdd? 7/220 What is prob of sequence yg when two letters picked without replacement from {g: 1, w: 1, y: 1}? 1/6 Two letters picked without replacement from {a: 4, h: 3}. Give prob of sequence aa. 2/7 Three letters picked without replacement from byyyyybbbbyy. Give prob of sequence yyb. 7/44 What is prob of sequence ggi when three letters picked without replacement from aagaaiaggaagaaagaa? 5/1224 Four letters picked without replacement from {r: 2, b: 3, u: 5}. Give prob of sequence urbr. 1/168 Three letters picked without replacement from cbbbwwzbb. Give prob of sequence cww. 1/252 Calculate prob of sequence lw when two letters picked without replacement from {w: 3, j: 13, l: 2}. 1/51 Four letters picked without replacement from ququuququqqqqqqqqqq. What is prob of sequence uqqq? 455/3876 Three letters picked without replacement from upixv. What is prob of sequence vip? 1/60 Two letters picked without replacement from {a: 4, v: 3, r: 1, x: 1, h: 4, m: 2}. Give prob of sequence vx. 1/70 Two letters picked without replacement from hawaafaaw. What is prob of sequence aa? 5/18 Calculate prob of sequence uaw when three letters picked without replacement from {s: 5, w: 4, u: 2, a: 2}. 4/429 What is prob of sequence sl when two letters picked without replacement from {l: 3, k: 5, n: 1, s: 7, c: 2}? 7/102 Calculate prob of sequence jl when two letters picked without replacement from {k: 2, w: 1, j: 1, a: 1, l: 1, e: 1}. 1/42 Calculate prob of sequence vvv when three letters picked without replacement from hnhhnvhvvhvhvhhvcv. 35/816 Two letters picked without replacement from {d: 4, y: 4, f: 1, o: 5, x: 1}. What is prob of sequence oo? 2/21 What is prob of sequence po when two letters picked without replacement from zwozpozonwtpzpo? 2/35 Two letters picked without replacement from {v: 1, e: 5, j: 1, g: 1, a: 3, h: 1}. What is prob of sequence gh? 1/132 Calculate prob of sequence jjjj when four letters picked without replacement from {j: 9, o: 10}. 21/646 Three letters picked without replacement from {u: 5, v: 2}. What is prob of sequence uuu? 2/7 What is prob of sequence ryrr when four letters picked without replacement from {r: 5, y: 8}? 4/143 Three letters picked without replacement from mooaoomomommaoo. What is prob of sequence mao? 8/273 Calculate prob of sequence fffe when four letters picked without replacement from {f: 6, d: 4, e: 2}. 2/99 Two letters picked without replacement from {y: 6, n: 6, i: 7}. What is prob of sequence in? 7/57 Calculate prob of sequence vj when two letters picked without replacement from {w: 1, u: 1, g: 1, v: 1, j: 1}. 1/20 Two letters picked without replacement from qqcwcqwq. Give prob of sequence qw. 1/7 What is prob of sequence xg when two letters picked without replacement from wwbgxhghxxxxgbxgghg? 2/19 Calculate prob of sequence nu when two letters picked without replacement from nunuununnunnu. 7/26 Calculate prob of sequence pg when two letters picked without replacement from {u: 1, p: 1, v: 2, g: 2}. 1/15 Four letters picked without replacement from dhhhyyyhyh. Give prob of sequence hyyd. 1/84 Calculate prob of sequence kkkk when four letters picked without replacement from kqqqqkqvkqvvkqqq. 1/1820 Calculate prob of sequence bd when two letters picked without replacement from {d: 13, j: 3, b: 2}. 13/153 What is prob of sequence ewe when three letters picked without replacement from ewewwwwfwwmwwbfw? 1/168 Calculate prob of sequence oox when three letters picked without replacement from {x: 4, o: 14}. 91/612 Calculate prob of sequence kkxv when four letters picked without replacement from {l: 4, v: 2, k: 7, x: 1}. 1/286 Two letters picked without replacement from {q: 1, c: 2, b: 1}. Give prob of sequence cc. 1/6 Three letters picked without replacement from qwqqnqwnu. What is prob of sequence nwn? 1/126 Calculate prob of sequence yt when two letters picked without replacement from whptyyhttwpyw. 3/52 Three letters picked without replacement from nnsnsnsnsnnnnnsn. What is prob of sequence nsn? 55/336 Four letters picked without replacement from {n: 3, z: 1, k: 3}. Give prob of sequence nzkk. 3/140 What is prob of sequence kkk when three letters picked without replacement from {k: 10, i: 2}? 6/11 Calculate prob of sequence tvty when four letters picked witho
{ "pile_set_name": "DM Mathematics" }
, 4, 2, 5, -0.3? 5 What is the second smallest value in 27, -1, 2/3, 0, -0.02? -0.02 Which is the third biggest value? (a) -70 (b) -0.5 (c) 3 (d) -0.4 b Which is the biggest value? (a) -0.5 (b) -4 (c) -11/2 a Which is the third biggest value? (a) -0.5 (b) 0.322 (c) -3 c What is the fourth biggest value in -6, 2/51, -0.4, 2/13? -6 What is the fourth smallest value in -0.23, 0.1, 5/2, -3? 5/2 Which is the smallest value? (a) 19 (b) -2 (c) -35 c Which is the fourth smallest value? (a) -5 (b) 2/21 (c) -22 (d) 3/4 d Which is the second smallest value? (a) -3 (b) 4 (c) 1 c Which is the third smallest value? (a) -1/8 (b) -0.1 (c) 14/9 (d) -114 b What is the fourth biggest value in -2/5, -0.2, -0.5, -20/11? -20/11 What is the third smallest value in -0.1, 3/4, -1, 4, 2/87? 2/87 What is the second biggest value in 102.2, 0.4, -3/10? 0.4 What is the fifth biggest value in 5, 1/74, -2, 0, 2? -2 Which is the third smallest value? (a) -0.2 (b) 15 (c) 0.3 (d) -1/3 c Which is the third biggest value? (a) -4 (b) 0.1 (c) 10 (d) -0.02 d What is the second smallest value in -29, -2/3, -2, 0.2, -1/4? -2 What is the fifth biggest value in 1/6, -2, -0.0445, 4, 1/4? -2 What is the fifth biggest value in -4/3, -5/3, 0.5, 4, 2? -5/3 Which is the biggest value? (a) 0 (b) -17 (c) -5 a Which is the fourth smallest value? (a) 390 (b) -3/5 (c) 3 (d) 1/7 a What is the second biggest value in -0.4, -0.5, 26? -0.4 Which is the third biggest value? (a) -1/31 (b) 1/3 (c) 0.4 a What is the second biggest value in -0.14, -1, 2/21, -3? -0.14 Which is the third smallest value? (a) 5 (b) 0.3 (c) -3 (d) 128 a Which is the second biggest value? (a) -3 (b) 127 (c) 2 c Which is the second biggest value? (a) -18 (b) 567 (c) -0.4 c What is the fourth smallest value in -5, -2/15, -2, 3? 3 Which is the third biggest value? (a) -0.2 (b) 0.02 (c) -5 (d) -2/5 (e) 5/6 a What is the smallest value in 0.38, 3, -1? -1 Which is the third biggest value? (a) -1 (b) 4 (c) 4/5 (d) 2/5 d Which is the second biggest value? (a) 338 (b) -0.02 (c) 0.1 c What is the third biggest value in -3, 2, -6, 2/3? -3 What is the third smallest value in 0.06, 0.5, -1/5, -5? 0.06 What is the third biggest value in -1/202, -3, 5? -3 Which is the biggest value? (a) -4 (b) -5 (c) 5 (d) -70 (e) 1/11 c Which is the fourth smallest value? (a) 1/2 (b) -5 (c) 2/27 (d) 2/23 a Which is the second biggest value? (a) 2/17 (b) 0.0109 (c) 5 a Which is the third biggest value? (a) 19 (b) -6/11 (c) -1 (d) -4/3 (e) 2/7 b What is the smallest value in -2/9, -5/24, -3/7, -4, -3? -4 Which is the second smallest value? (a) -2 (b) 323 (c) -3/7 c Which is the fourth smallest value? (a) -1/3 (b) -2/7 (c) -9 (d) 5.1 d What is the smallest value in -2, 0.2, -1/8, -1/5? -2 What is the fifth biggest value in -4/3, -8, 1/5, -1, -3? -8 Which is the second biggest value? (a) 1 (b) -0.4 (c) 1.8 a What is the fourth biggest value in 2, -40, -1/5, 0? -40 What is the second biggest value in -1/7, 0.13, -4? -1/7 Which is the third smallest value? (a) -4 (b) -11 (c) -0.5 (d) -10/3 d Which is the biggest value? (a) 15 (b) 2 (c) 1 a Which is the biggest value? (a) 14 (b) -1/5 (c) -0.06 a What is the smallest value in 31, -2, -5/4? -2 What is the second biggest value in 0, -78, -4/9, -2/11? -2/11 Which is the second biggest value? (a) -1 (b) 0 (c) 1 b Which is the third biggest value? (a) -3 (b) 0.51 (c) -4 (d) -11 c What is the third smallest value in -4, 3, -36, -1/4, -0.04? -1/4 What is the fourth smallest value in -5, -2, 1, -2/5, -126? -2/5 What is the third smallest value in 2.1, -18, 3, -0.2? 2.1 What is the biggest value in -2, -3, -20? -2 What is the third biggest value in -13, 4, -2/11, 0.5, -1/4? -2/11 Which is the third smallest value? (a) -1/2 (b) -6 (c) 2/3 (d) 4 c What is the second biggest value in -117, 122, 0.1? 0.1 What is the third biggest value in 0, -0.2, -1/6, 6? -1/6 What is the fourth biggest value in 1, -1/4, -3/2, 0.36? -3/2 What is the second biggest value in 3, 18, -20? 3 Which is the second smallest value? (a) -4 (b) 0.19 (c) -0.5 c What is the second smallest value in 3, 0.4, -82? 0.4 What is the fourth smallest value in -4, 0.4, 24, -4/5? 24 Which is the smallest value? (a) -2 (b) 0.4 (c) -2/23 (d) 3 a What is the biggest value in -2, -2/5, 4, 5, 0.8? 5 Which is the second biggest value? (a) -778 (b) -4 (c) -2/9 b Which is the third smallest value? (a) 5/4 (b) -7.19 (c) 5 (d) 0 a What is the third biggest value in -0.5, 0.1259, 1/10? -0.5 What is the smallest value in 1, 1/2, 11/2, 0, -2/7? -2/7 Which is the second biggest value? (a) 0 (b) 3/10 (c) 1/8 c Which is the fourth smallest value? (a) 2 (b) -1 (c) 1/3 (d) -2/39 a What is the third smallest value in 4, 0.3, 4/3, 1/2? 4/3 Which is the biggest value? (a) 0 (b) 5 (c) -3.6 (d) 3/5 b What is the biggest value in 1/5, 1, 17, 1/13, 3/2? 17 What is the biggest value in 3/38, -5, 7? 7 Which is the third biggest value? (a) 1/3 (b) 0.2 (c) -27.9 c What is the third biggest value in -4, 0.4, -3, 270? -3 Which is the second biggest value? (a) -0.3 (b) 12 (c) -51 a Which is the fourth smallest value? (a) 2 (b) 5 (c) 0.1 (d) -1 b Which is the third smallest value? (a) 0.1 (b) -0.18 (c) 3.3 c What is the third smallest value in -10, 5, -29? 5 Which is the third biggest value? (a) 49 (b) 1/7 (c) 100 (d) 1/11 b What is the biggest value in -1, -1/21, 3, -1/115, -3? 3 What is the third biggest value in 4, 3, -4, -0.736? -0.736 Which is the third smallest value? (a) 273 (b) 1/5 (c) -3 (d) -4 b Which is the third smallest value? (a) 1/4 (b) -22/7 (c) 23 c What is the biggest value in 10, -5, 5? 10 Which is the smallest value? (a) -484 (b) 0 (c) 2 a Which is the biggest value? (a) 7/4 (b) -2 (c) 1/5 (d) 1 a Which is the third smallest value? (a) 0.1 (b) 0.2 (c) 1303 c Which is the second biggest value? (a) 6 (b) 0 (c) 4 (d) -1.5 c Which is the third smallest value? (a) -0.1 (b) -12 (c) 0.5 c Which is the third biggest value? (a) 2/3 (b) -9 (c) -0.1 b Which is the fifth biggest value? (a) -0.7 (b) 2 (c) 4 (d) 12/25 (e) -4 e What is the third smallest value in -2/9, -1/5, 2, -5/3? -1/5 What is the second biggest value in -19, 1, -9? -9 What is the fifth smallest value in 1.1, 5, 11, -0.3, -2? 11 What is the biggest value in 8, 2/5, 1, -194? 8 What is the biggest value in 0.5, 0.2, -5/6, -37? 0.5 What is the second biggest value in 3, 2/115, -5? 2/115 What is the third smallest value in 0.2, 3, -0.3, 279? 3 What is the third smallest value in -2/3, 0.6, -27, 1/5? 1/5 Which is the second smallest value? (a) -0.5 (b) -4/29 (c) -4/9 c What is the second smallest value in -5/3, 14, -2/11, -0.3, -0.4? -0.4 Which is the third biggest value? (a) -4/5 (b) -0.27 (c) -8 c What is the second biggest value in 0.01, 0.5, -0.05, -46? 0.01 Which is the biggest value? (a) -4/69 (b) -1/3 (c) 4 c Which is the third smallest value? (a) -0.01 (b) 4 (c) -1/5 (d) 0.8 d What is the third biggest value in -20, 2, 4/9? -20 What is the third biggest value in -11, 1/4, 4/9, -2, 66? 1/4 Which is the fourth biggest value? (a) 2 (b) -0.4 (c) -4 (d) -0.09 c What is the second biggest value in 1/4, -420, 3? 1/4 Which is the third biggest value? (a) 4 (b) -2/7 (c) 1 b Which is the second biggest value? (a) -1/5 (b) 0.01 (c) 0 (d) 1/5 b What is the biggest value in 1/6, 1.9, 19/4? 19/4 What is the second smallest value in -0.034, 1/2, 35? 1/2 Which is the smallest value? (a) -3 (b) 3 (c) -0.16 a Which is the third smallest value? (a) 2.1 (b) -0.3 (c) -2 (d) 0.4 d What is the third smallest value in -8, 2, 8/3? 8/3 What is the second biggest value in -1, -2, -2/3, 2, -0.1? -0.1 Which is the second biggest value? (a) 0.1 (b) 26/7 (c) 0 a Which is the third biggest value? (a) -2 (b) 3 (c) 4 (d) -0.1 d Which is the second biggest value? (a) 1/4 (b) 2/5 (c) 1/8 (d) -2 a What is the biggest value in 2/9, 21, 1? 21 Which is the fourth smallest value? (a) -2/5 (b) -58 (c) -1/6 (d) -0.1 d Which is the third biggest value? (a) -3349 (b) 2/13 (c) 5 a What is the fourth biggest value in 1, -4, -0.2, 2/9?
{ "pile_set_name": "DM Mathematics" }
c. 0 Solve 5*v + 2*i + 49 = 66, -3*v - 1 = 4*i for v. 5 Solve -14*r + 16*r - 8 = -3*h, -4*r - 2*h = 0 for r. -2 Solve 6*t - 10*t - 14 = 2*m, -3 = t for m. -1 Solve -2*j + 2*h + 4 = 0, 3*j + 4*h + 0*h + 22 = 0 for j. -2 Solve 4*x = -3*o + 3 - 15, 0 = -x - 2*o - 8 for x. 0 Solve -4*h + 2*c + 3*c = -10, 8 = -h - 4*c for h. 0 Solve -4 = -2*b + 2*c, 0*b + 27 = -4*b - 3*c for b. -3 Solve -z = -3*i - 11, 4*i = 5*z + 8 - 41 for z. 5 Solve 0 = 2*r + 3*a - 16, -10*r - 5*a + 30 = -6*r for r. 5 Solve -12*m + 7 = -15*m + 5*r, 2*m + 2 = 2*r for m. 1 Solve -4*t + 26*k - 2 = 28*k, -4*t = -4*k - 28 for t. 2 Solve -4*o - 2 = i - 3*o, -3*i = -2*o - 4 for i. 0 Solve 0 = r + 5*v + 16, -4 = 4*r - 8*r - 3*v for r. 4 Solve f - 9 = -5*s + 6*s, -f - 4*s - 16 = 0 for f. 4 Solve 3*b + 23 = -4*u, 4*u = -b - 6 - 15 for u. -5 Solve 3*y - 4 = -x, -6*x - 2*y = -x - 7 for x. 1 Solve -5*t + c + 14 = 0, 35*t = 39*t + 3*c - 15 for t. 3 Solve -4*b = 4*x, -126*b + 129*b - 5 = -2*x for b. 5 Solve -21 = 4*a + 2*n - 1, -a + n = 5 for a. -5 Solve -15*f - h - 18 = -10*f, 3*f = -h - 10 for f. -4 Solve -w = g + 3, 0 = 9*g - 7*g + 10 for w. 2 Solve 2*f + 208 = -3*s + 202, -5*s - 26 = -2*f for s. -4 Solve 22*f + s = 27*f - 25, -f - 2*s + 5 = 0 for f. 5 Solve 0 = -s - x - 1, 23*s + 4*x = 28*s + 23 for s. -3 Solve -2*b + j - 3 = 2, 0 = 3*b - 4*j + 20 for b. 0 Solve -k - 5*c = 4*k + 35, 2 = -2*k + 4*c for k. -5 Solve 7*k + 24 = 5*o, 5*o - 14 = 13*k - 11*k for o. 2 Solve 5*k + 34 = -4*j, 0 = -j - 2*k - 10 - 0 for j. -6 Solve y = 3*d + 15, -5*d + 10*d - 3*y + 29 = 0 for d. -4 Solve 2*k + v + 7 = 0, -4*k - 3*v - 17 = k for k. -4 Solve 20 = 22*g - 18*g, 2*k + 2*g - 12 = 0 for k. 1 Solve 3*k - 4*v - 2 = 25, 3*v = -9 for k. 5 Solve 2 = -2*h + 2*s - 0, 5*s = h + 17 for h. 3 Solve 0 = -n + 2*a + 2, -8*a + 17 = 3*n - 3*a for n. 4 Solve -21 = 3*h + h + 3*i, -2*h = -i + 3 for h. -3 Solve 2 = 4*z + 2*y, 4 - 1 = y for z. -1 Solve 3*t + 0*a + 6 = 3*a, -2*t + a = 2 for t. 0 Solve t + m = 1, -3*m - 2*m = -3*t - 37 for t. -4 Solve -39*n + 37*n + 4*z + 14 = 0, 0 = -n - 2*z - 9 for n. -1 Solve -5*n - o - 7 = 11, -4*n = 4*o + 8 for n. -4 Solve 3*w - 2*m + 2 - 9 = 0, 2*w - 13 = 3*m for w. -1 Solve -7*o - 6 = -5*o - 3*a, 12 = 3*a for o. 3 Solve f + 4*t = -4 + 9, -4*t = 3*f + 1 for f. -3 Solve 5*f - 13 - 8 = c, -2*c - 14 = -3*f for c. -1 Solve -2*x = m - 7, -m - m - 14 = -3*x for m. -1 Solve 8 = 2*h, -12 = 24*m - 25*m - 2*h for m. 4 Solve -2*u + 4*x - 24 = 0, 7*x = 5*u + 2*x + 35 for u. -2 Solve -5*l + 11 = -a + 1, -4*a + 8 = -4*l for l. 3 Solve 4*h + 18 = l, -h = 4*l + 18 - 5 for h. -5 Solve 5*q - 5*x = 5, -12 + 32 = -5*x for q. -3 Solve -w + 12 = 5*r + 22, 3*w - r + 14 = 0 for w. -5 Solve -4*h - 4*n + 32 = 0, 3*h - 5*n = h - 19 for h. 3 Solve -8 = -3*j + 2*y + 4, -2*y = -4*j + 14 for j. 2 Solve 4*d = n - 0 - 23, 5*n - 15 = 0 for d. -5 Solve 5*j + 0*f + 3*f = -20, 0 = -5*f for j. -4 Solve -3*y = 3*j - 3, -4*y - 6*j - 2 = -4*j for y. -2 Solve 5*g - 8*f - 15 = -13*f, -5*g + 2*f - 6 = 0 for g. 0 Solve -4*w - 3*l - 88 = -96, -5*l = -5*w + 10 for w. 2 Solve -2*y = 2*a - 28, -35 = -a - 3*y - 13 for a. 10 Solve -18*a = 3*f - 19*a - 8, -5*a = 10 for f. 2 Solve -5*l + 2 = 3*r - 10, 5*r = 3*l - 14 for r. -1 Solve 3*s + 6 = 124*w - 129*w, s - 4*w = -2 for s. -2 Solve 4*l + 3*b = 11, 7*l - 10 = 2*l - 3*b for l. -1 Solve -3*i = -5*c - 25, -2*i + 5 = 2*c - 3*c for i. 0 Solve 3*p = -4*h + 16, h - 2 = -2*p + 7 for h. 1 Solve i = -11*h + 7*h - 15, -3 = h for i. -3 Solve 0 = 2*s - 4*x + 28, 10*x + 40 = -4*s + 14*x for s. -6 Solve 3*r + 23 + 5 = -4*q, 2*r = 3*q + 4 for q. -4 Solve 4*u + 12 = -0*u - 5*q, -u - 3 = -q for u. -3 Solve w + 5 = 2*s, 33*s - 5*w + 31 = 37*s for s. 4 Solve 12*c - 11 = 3*a + 8*c, 5*a + c = 20 for a. 3 Solve 0 = -4*g - 5*r + 2, 4*g - 22 = -252*r + 257*r for g. 3 Solve -5*k - 14 = -c, 0 = 4*k - 8*k + 3*c - 20 for k. -2 Solve -k = q + 8, -13*k + 17*k + 5*q = -35 for k. -5 Solve 4*l = -3*f + 7*l - 3, l = 5*f + 1 for f. 0 Solve -3*v - 4*h = -2, -4*v + 2*v - 5*h = -6 for v. -2 Solve -p - 4*p + 19 = -2*m, -17 = m - 5*p for m. -2 Solve 0 = 5*j + 2*d + 20 - 8, 0 = j - d + 8 for j. -4 Solve -5*i + 4*g - 21 = 0, -i + 2*g = -2*g + 1 for i. -5 Solve 0 = -4*o - 4*l - 16, -4*o - 3*l - 12 - 3 = 0 for o. -3 Solve 0 = 2*w + 2*q - 2810 + 2808, 5*q = 30 for w. -5 Solve 0 = 3*c + 3*q - 12, -c - 11 = -q - q for c. -1 Solve -3*f + 3*k - 13 = -k, -3*f - 10 = -k for f. -3 Solve 0 = 3*g + x, 0 = -3*g - 3*x - 2*x + 12 for g. -1 Solve -3*p = -2*x + 18, -2*x + 10 = 4*p - 5*p for p. -4 Solve 4*z + 19 = j, 5*z + 5*j - 3*j + 14 = 0 for z. -4 Solve -2*k + o + 10 = 0, -4*k + 2*o + 32 = -3*o for k. 3 Solve 27 = 5*o + a, 3*o - 23 = -4*a - 0*a for o. 5 Solve 2*w - 3*j + 9 = 0, 7 = -4*w - 5*j + 22 for w. 0 Solve -3*t = -703*s + 700*s - 21, 5*t = s + 23 for t. 4 Solve -4*i + z - 4 + 0 = 0, 4*i - 4*z = -16 for i. 0 Solve 3*c - 3 = -2*l, 6*c + 4*l = 2*c + 8 for c. -1 Solve 0 = p + 2*x + 12, 5*p + 25 = -6*x + 3*x for p. -2 Solve 4*v = -4*z - 21 - 11, -29 = 3*z + 4*v for z. -3 Solve -31 = -4*w + 7*o - 2*o, -6*w - 41 = 5*o for w. -1 Solve -2*f = a - 13, a = -f + 1 + 7 for a. 3 Solve -m - 12 = -30*i + 27*i, -5*i + 3 = 4*m for i. 3 Solve 3*t = 5*j - 25, -14 = 5*t - j - 9 for t. 0 Solve -4*v + 0*r - 11 = r, -5*v + r = 25 for v. -4 Solve -5*b + 2*z = -12, 2*b = -83*z + 81*z + 2 for b. 2 Solve -3*o + 17 = -r, -29*r + 9 = o - 30*r for o. 4 Solve -4*j - 3*y = -0 - 29, 0 = 5*j + 3*y - 34 for j. 5 Solve -4*p = -4, 4*d - 3*d - 4*p = -5 for d. -1 Solve 4*j = -5*x - 15, 0 = 3*j - 8*j - x - 3 for j. 0 Solve -4*n = 22 - 6, -5*n - 5 = -5*a for a. -3 Solve 5*n - 2*n - 4*d + 4 = 0, 0 = 5*n + 2*d - 2 for n. 0 Solve 4*p - 34*a = -38*a + 4, -5*p - 15 = a for p. -4 Solve 0 = 4*g - a - 0*a - 7, 21 = 2*g + 3*a for g. 3 Solve 3 = -4*l + f - 6, l - 4 = -f for l. -1 Solve -u - 2*f - 27 = -6*u, 0 = 5*u + 2*f - 3 for u. 3 Solve -15 = -2*w + 5*y, 2*w + 0*w + y + 15 = 0 for w. -5 Solve -3*n + 7 = 2*w, n - 3 = w + 1 for w. -1 Solve 0 = -c - 5*r - 15, 3*c + r - 9 = -12 for c. 0 Solve -3*m + 8 = m, -36 = 5*r - 3*m for r. -6 Solve 2*b - 6*b + 4 = 0, 4*l = -4*b + 20 for l. 4 Solve 5*v - 4*x + 36 = 0, -5*x + 8*x - 12 = 0 for v. -4 Solve -t = a + 1, 2*a + 3*a + 10 = 0 for t. 1 Solve 3*f + 10 = v, -3*v = 3*f + 22 + 8 for v. -5 Solve -1 = -4*o + p + 2*p, -3*o = 4*p - 7 for o. 1 Solve -5*o + 4 - 24 = 2*b, -3*b - 2*o - 8 = 0 for b. 0 Solve -18 - 2 = 4*o - 2*t, -o - 5 = -t for o. -5 Solve z + 6 - 3 = 0, -3 = 5*m - 4*z for m. -3 Solve 3*b + 8 = -y - 6, -4*y = -b - 9 for b. -5 Solve 0 = 2*a + 5*q - 0*q - 25, -5*a + 28 = q for a. 5 Solve -8 = 2*f - 2*p - 14, 3*f - 4*p - 14 = 0 for f. -2 Solve -4*y + 24 = 4*s, -s + 12 = -6*y + 10*y for s. 4 Solve 3 = -5*u + 4*x, -6*u + 5*x = -7*u - 18 for u. -3 Solve 2*q - 5*r - 33 = 0, -2*q = 65*r - 62*r + 7 for q. 4 Solve 3*z + 14 = -2*c, -46*z + 45*z - 2 = 0 for c. -4 Solve -o = -3*h - 1 - 6, 0 = 2*h + 2 for o. 4 Solve m - 14 = -3*m + 2*h, 3*m - 5*h - 21 = 0 for m. 2 Solve 5*j + 23 = 4*a, -5*a + 4 = -6*j + 8*j for j. -3 Solve 0 = 5*a - 2*s + 4*s + 1, -4*s = -5*a - 13 for a. -1 Solve -4*o - 12 = -2*h, -2*o - 2 = 6*h - 8*h for o. -5 Solve -n = 2*g - 3, n - 2 - 2 = -3*g for g. 1 Solve 4*n + 0*n - 2*h = -22, -n - 4*h = -8 for n. -4 Solve -5*j = -7*j + 3*s - 9, 0 = 4*j - 2*s + 14 for j. -3 Solve 0 = 4*p + 5*f - 41, -4*f = 2*p + f - 33 for p. 4 Solve 0 = -5*b + 5*o + 5, 5*o + 18 - 25 = 2*b for b. 4 Solve -5*f - h = -3*f + 14, -3*f = -5*h - 5 for f. -5 Solve -q = -3*p - 16 + 15, 20 = -4*p + 4*q for p. 2 Solve -4*d + 3*d = -4*c + 12, -6 = -2*c + 5*d for c. 3 Solve -10 = -5*i + 5*f, -4*f - 11 = -3*i - 4 for i. 1 Solve -k - 14 + 15 = j, -2*k + 23 = -5*j for k. 4 Solve -2*s = g + 5, -2*s - 3*s = -g + 9 for s. -2 Solve 3*b + 4*w = -w + 5, -2*b - 14 = -w for b. -5 Solve 4*i = 3*q + 2, 2*i = 7*i + 4*q + 13 for i. -1 Solve -3*u - 2*u - 3*k + 17 = 0, -3*u = -3*k + 9 for u. 1 Solve -10 = -3*j + 2*m, 25*m - 30*m - 8 = j for j. 2 Solve 2*n - 20 = 3*n - 3*b, n - 20 = -5*b for n. -5 Solve 4*c - 9*x + 32 = -4*x, -5*c - 4*x = 40 for c. -8 Solve 2*i + 5*y + 21 = 0, -113*i + 3 = -112*i - 2*y for i. -3 Solve 3*m + 4*o + 13 = 28, -4*o + 12 = 0 for m. 1 Solve -8 = -2*t, 0*w - w - 9 = -2*t for w. -1 Solve -4*v - 5*f - 13 = -10*f, -f = 2*v + 17 for v. -7 Solve f - 5 = -w, -5*f - 15 = -5
{ "pile_set_name": "DM Mathematics" }
**2 + 7 + 0*b**u + 2/5*b**5. Find the second derivative of n(c) wrt c. 24*c**2 Let q be (0/(-5 + 2))/(-55 - -52). Let f(d) be the third derivative of 1/12*d**4 + 0*d + q - 5*d**2 + d**3. Find the first derivative of f(j) wrt j. 2 Let d(t) be the third derivative of -t**8/48 - t**5/4 - 13*t**4/4 + t**3/3 + 461*t**2. What is the second derivative of d(l) wrt l? -140*l**3 - 30 Let q(s) be the second derivative of 1/30*s**6 + 1/3*s**3 + 19*s + 0*s**4 + 0*s**2 + 0 + 0*s**5. Find the second derivative of q(r) wrt r. 12*r**2 Let i(t) be the third derivative of 17*t**5/20 + t**4/4 + t**3/3 - 91*t**2. Find the second derivative of i(a) wrt a. 102 Let z be ((-2)/4*4)/1. Let u be (z - -2) + (-15)/(-3). Find the second derivative of u*k**4 + k**4 + k**4 + 9*k wrt k. 84*k**2 Let o(i) be the second derivative of 7*i**2 + 17*i + 0 + 7/3*i**3. Differentiate o(x) with respect to x. 14 Let y(c) = 554*c**5 - c**4 - c**2 - 281*c - 1. Let z(i) = -i**5 - i**4 - i**2 - 2*i - 1. Let w(d) = y(d) - z(d). What is the second derivative of w(l) wrt l? 11100*l**3 What is the derivative of 5*o + 21*o + 262 + 193*o + 52*o wrt o? 271 Let l(w) be the first derivative of -w**6/6 + 35*w**3/3 - 20*w**2 + 2*w + 76. Find the second derivative of l(a) wrt a. -20*a**3 + 70 Let p = -38 + 41. What is the second derivative of -6*t**3 + t + 4*t + 21*t**p - 13*t**3 wrt t? 12*t Let w(j) = -885*j**2 - 723*j + 10. Let t(y) = 887*y**2 + 724*y - 12. Let u(o) = 5*t(o) + 6*w(o). Find the second derivative of u(h) wrt h. -1750 Let v = -4 + 6. Suppose 9 = w + 3*n - n, -18 = -v*w + 2*n. Differentiate o**3 + 4*o**4 + 3*o**3 - 4*o**3 + w wrt o. 16*o**3 Let p(j) be the first derivative of 0*j**2 - 7/4*j**4 + 17 + 3*j**3 + 0*j. What is the third derivative of p(u) wrt u? -42 Let f(u) = -u**3 - 8*u**2 + 3. Let t be 58/(-7) + (-2)/(-7). Let i be f(t). What is the derivative of 3*g**4 + 3*g**3 - 2*g**i - 2 - g**3 wrt g? 12*g**3 Let u = -18 - -25. Find the second derivative of 18*o**3 + 5*o + 2*o + u*o + o wrt o. 108*o Suppose -3*q = 2*q - 25. What is the third derivative of 104*k - 104*k + q*k**6 + 6*k**2 wrt k? 600*k**3 Let g(f) be the first derivative of 23 + 31/4*f**4 + 14*f**2 + 0*f**3 + 0*f. What is the second derivative of g(l) wrt l? 186*l Let w(v) be the third derivative of 47*v**5/60 - 167*v**4/6 + 68*v**2. Find the second derivative of w(x) wrt x. 94 Let j(c) = -c**3 + c**2 - c + 1. Let v(m) = -29*m**3 + 47*m**2 - 6*m + 6. Let f = -10 + 4. Let q(k) = f*j(k) + v(k). Find the third derivative of q(t) wrt t. -138 Suppose -2*w + 0 + 4 = 0. Suppose -4*p - 2*i + 22 = 0, 21 = p + w*p + 3*i. What is the second derivative of -76*u**4 + 3*u + 61*u**p - 2*u wrt u? -180*u**2 Find the second derivative of -119*n**5 + 114*n**5 - 24*n**3 - 5*n + 66*n**2 - 66*n**2 - 17 wrt n. -100*n**3 - 144*n Let x be 232/40 + 4/20. What is the third derivative of -26*j**2 - 26*j**6 - 8*j**x - 936*j + 936*j wrt j? -4080*j**3 Let u be ((2 + -2)/(-3))/(6 - 4). Let f(r) be the first derivative of 1/2*r**2 + u*r + 1 + 4/3*r**3. Find the second derivative of f(z) wrt z. 8 Let c be 2/(1190/295 - 4). Differentiate -c + 115 - 74 - 29*n**4 with respect to n. -116*n**3 Let y be 6 + 0 - 60/20. Let k(a) be the third derivative of 1/30*a**5 + 0*a + 0*a**y + 0 + 2*a**2 - 1/6*a**4. What is the second derivative of k(w) wrt w? 4 What is the third derivative of 20*q**2 + 81*q**6 - 245*q**6 + 18*q**2 wrt q? -19680*q**3 Let c(q) be the second derivative of -3*q + 1/4*q**4 + 0*q**2 + 2/3*q**3 + 0. Find the second derivative of c(h) wrt h. 6 Let u(c) be the first derivative of -119*c**3/3 - 38*c**2 + c - 88. Find the second derivative of u(s) wrt s. -238 Let w(p) = p + 7. Let r be w(-10). Let a be 6/(-9)*9/r. What is the third derivative of -3*o**a + 3*o**2 + 3*o**2 - 2*o**2 + 2*o**3 wrt o? 12 Let x(y) = -3*y + 6 - 10 - 10 + 4*y**2. Let g(a) = 7*a**2 - 7*a - 29. Let k(t) = 3*g(t) - 7*x(t). Differentiate k(m) wrt m. -14*m Suppose 2*d - 31 + 21 = 0. Find the third derivative of -49*g**d - 60*g + 9*g**2 + 12*g**5 + 60*g wrt g. -2220*g**2 Let x(o) be the first derivative of -407*o**4/2 + 246*o**2 + 545. What is the second derivative of x(k) wrt k? -4884*k Let s(t) be the first derivative of -5*t**6/6 - 18*t**5/5 - 5*t**2/2 + 4. Find the second derivative of s(a) wrt a. -100*a**3 - 216*a**2 Find the first derivative of -191*v**3 - 93*v**3 + 373 + 210*v**3 wrt v. -222*v**2 Let c(b) = 113*b**3 + b - 110. Let f(p) = p - 6. Let j(h) = -c(h) + f(h). Differentiate j(v) wrt v. -339*v**2 Suppose 1 = k - 4*p, -k + 3*k - 14 = -4*p. Find the first derivative of -k*n**3 + 243*n**2 - 243*n**2 + 0 - 1 wrt n. -15*n**2 Let n(i) be the first derivative of -i**5/4 + 7*i**4/12 + 12*i**3 + 38. Let j(z) be the third derivative of n(z). What is the first derivative of j(w) wrt w? -30 Let h(f) be the third derivative of -1/4*f**5 + 0*f + 0*f**3 - 1/40*f**6 + 0*f**4 - 22*f**2 + 0. Find the third derivative of h(q) wrt q. -18 Let a(j) = 306*j - 29. Let n(k) = 1534*k - 145. Let z(f) = -11*a(f) + 2*n(f). Differentiate z(w) wrt w. -298 Let r be (-48)/(-28) + -2 - 158/(-14). Find the second derivative of 26*w**2 + r*w - 6*w + 3*w wrt w. 52 Differentiate 25 + 476 + 10 - 125*h - 3*h**4 + 4*h**4 wrt h. 4*h**3 - 125 Let k(w) = w**2 + 1. Let h(m) = -238*m**2 - 2*m + 34. Let g(q) = h(q) + 5*k(q). What is the second derivative of g(f) wrt f? -466 Let t(f) be the second derivative of 37*f**5/20 - f**3/3 + 35*f**2/2 - 2*f + 65. What is the second derivative of t(j) wrt j? 222*j Suppose 3*a - 2 + 0 = -2*m, 0 = -a + 4*m + 10. What is the third derivative of -q**6 + 9*q**2 + 13*q**a - 11*q**6 wrt q? -1440*q**3 Let m(x) = 8*x**2 - 4*x**2 - 5*x**2 + x. Let z(s) = -14*s**2 + 19*s. Let y(n) = -5*m(n) + z(n). What is the second derivative of y(v) wrt v? -18 Let i(h) be the third derivative of -3*h**8/2240 - h**5/30 - h**4/12 - 4*h**2. Let j(f) be the second derivative of i(f). What is the derivative of j(t) wrt t? -27*t**2 Let o = 39 + -29. Find the third derivative of o*z**2 + z**3 - 8*z**2 + 16*z**2 + z**3 wrt z. 12 What is the second derivative of -6*i**5 - 26*i**3 + 27*i**3 + 7*i**5 + 2*i**5 - 15*i wrt i? 60*i**3 + 6*i Let b(h) = -h**2 - 15*h - 13. Let t be b(-12). What is the derivative of 32 - 17 + 6*o - t wrt o? 6 Let w(d) be the third derivative of -11*d**9/504 - d**6/120 + d**5/60 - 13*d**4/24 + 3*d**2 - 32. Find the third derivative of w(z) wrt z. -1320*z**3 - 6 Let n = 1 - -4. Let j(r) = 5*r - 78. Let k be j(16). Differentiate -k*m**2 - n + 8*m**2 + 0 + 2 wrt m. 12*m Let o(s) be the third derivative of 2/21*s**7 + 0 + 0*s + 0*s**6 + 0*s**5 + 0*s**4 - 4/3*s**3 - 9*s**2. Differentiate o(m) wrt m. 80*m**3 Let t(h) = -1. Let a(v) = 226*v**2 + 218. Let o(g) = a(g) + 7*t(g). Differentiate o(i) wrt i. 452*i Suppose 2*u + 4*t + 14 = 0, -5*u - 7 = -4*t - 28. Differentiate -3*d**2 + 8*d**2 - 2 + u - d**2 with respect to d. 8*d Suppose -5*p - i + 8 = -2*i, 4*p = 2*i + 4. Find the second derivative of 19*q + 6*q**2 + 9*q**p + 3*q**2 - 2*q**2 wrt q. 32 Let q(v) = 6*v**3 - 19*v**2 - 122*v - 8. Let f(y) = -14*y**3 + 39*y**2 + 245*y + 18. Let t(m) = -4*f(m) - 9*q(m). Find the second derivative of t(a) wrt a. 12*a + 30 Let a(u) = -u + 4 + 0*u**2 + 0*u**2 - 2*u + u**2. Let l be a(2). What is the derivative of 4 + 17*k + 9*k - 26*k - 8*k**l wrt k? -16*k Let s(x) be the first derivative of 45*x**4/2 + 106*x - 70. Differentiate s(c) wrt c. 270*c**2 What is the third derivative of 15*t**6 - 54*t**5 + 42*t**2 - 6*t**6 + 59*t**5 + 3 wrt t? 1080*t**3 + 300*t**2 Suppose p - 3 = 7. Find the third derivative of -10*a**2 - 24*a**4 - p*a**2 - 13*a**2 + 12*a**2 wrt a. -576*a Let p = 84 + -49. What is the third derivative of 66*m**6 - 30*m**6 - 14*m**2 - p*m**6 wrt m? 120*m**3 Suppose 3*n + n - 193 = 3*i, -239 = -5*n + 3*i. What is the derivative of -21*s - 46 - n + 94 wrt s? -21 Let q(b) = 54*b**2 - 122*b. Let p(m) = 56*m**2 - 121*m. Let g(h) = 3*p(h) - 4*q(h). Find the second derivative of g(s) wrt s. -96 Suppose -13 = r - 16. What is the second derivative of -19*i**5 + 388*i**r - 22*i - 388*i**3 wrt i? -380*i**3 What is the second derivative of 14*t - 2*t**3 - 128*t**5 - 4*t**3 + 3*t**3 + 2*t**3 - 90*t wrt t? -2560*t**3 - 6*t Suppose -1637 = r + 3*t, 4*r + 5*t + 8818 = 2249. Let a be (-12)/16 - r/8. Find the f
{ "pile_set_name": "DM Mathematics" }
*w - 37. Let l be u(14). Suppose l*h = 15*h + 132. Solve -6*y = h - 9 for y. -4 Suppose 0 = -3*n + 3, -2*h - 65 = -3*h + 4*n. Let b = h - 66. Suppose -2*o + 24 = -5*i - 7, -5*i - 34 = -b*o. Solve 0*z = -o*z for z. 0 Suppose 0*a = a - 24. Let k be 18/a - 66/(-8). Solve 0 = o - k*o - 40 for o. -5 Let k(s) = -19*s - 8. Let o(m) = 1. Let a(p) = -k(p) - 2*o(p). Let h be a(0). Solve h*q = q for q. 0 Let h be 33*(1 + 1)/6. Suppose -121*l + 948 = 343. Solve l*i = -9 - h for i. -4 Let p = -10015 + 10051. Suppose 3*g + 2*g = 190. Suppose -x = -g + p. Solve x*l = 3*l + 1 for l. -1 Let u(b) = -b**2 + 11*b - 7. Let z be (-16)/(-120) - (-296)/30. Let l be u(z). Solve l*q = 12*q + 45 for q. -5 Suppose -732 = -19*b - 19*b - 23*b. Solve 32 + 40 = b*l for l. 6 Suppose 5*t + 10 = 0, 2*w - w = 4*t + 19. Solve 109*r - w = 120*r for r. -1 Let s(h) be the second derivative of h**4/6 - 5*h**3/3 - 9*h**2/2 + 43*h. Let o be s(6). Suppose o*c - 20 = -7*c. Solve c*r + 0 - 8 = 0 for r. 4 Let h be (10/(-4))/(46/(-368)). Let u = -3 + 5. Let w be (6 + 162/(-30))/(1/5). Solve 0 = u*t + w*t + h for t. -4 Let u be 0 - (-62)/4 - 13/(-234)*9. Solve 14*c = u + 12 for c. 2 Let x = 2 - -1. Let a be 2/x + 112/12. Let j be 0*9/90*((-11)/2 - -3). Solve j = -5*l + 3*l + a for l. 5 Suppose -2*q = -w + 14, 4*w - q = -2*q + 20. Suppose -t - o + 5 = 0, -o = -t + w*t - 21. Solve -2 = -2*m + t for m. 3 Let f = -30 - -44. Solve f*u = 6*u + 8 for u. 1 Suppose -n - 3*d + 202 = 0, 4*d = -2183*n + 2182*n + 196. Solve -n = -18*t - 328 for t. -6 Let o be 5/(-25)*-45 - 13 - 7/(-1). Solve 15*i + o*i + 72 = 0 for i. -4 Suppose 16*n - 46*n + 1308 = 48. Solve 962*r - 955*r = n for r. 6 Let a(y) = y**3 - 11*y**2 + 19*y - 8. Let b = 14 - 10. Let i = b - -5. Let m be a(i). Solve -m = 5*v + 9 for v. -2 Suppose -1925 = 8*z - 15*z. Let g = z + -274. Solve 3*s - 14 - g = 0 for s. 5 Let u(i) be the second derivative of -4*i**3/3 - i**2/2 + 3*i. Let n be u(3). Let x = -21 - n. Solve 15 = x*a + 35 for a. -5 Let n be (-2 - (-20)/3)/((-1)/(-3)). Suppose -330 = -n*b - 36. Solve -3*u + 9 = b for u. -4 Suppose 0 = 3*j + 4*i - 1062, -5*j + 16*i - 241 + 2079 = 0. Solve 355*z - j*z - 3 = 0 for z. -1 Let z be (-4)/6 + -1 - (-4041)/27. Suppose -z*h + 24 = -142*h. Solve h = y - 0 for y. 4 Let s = -174 - -174. Suppose -4*x = -3*h + 3, -4*x + 2*h = 4*h - 22. Solve s*o = -x*o for o. 0 Let s(j) = -j**2 + 13*j + 891. Let o be s(37). Solve 8*b - o = 9*b for b. -3 Suppose -1087*b = -1096*b. Let r = -54 + 57. Solve 0 = r*p - b + 3 for p. -1 Suppose 0 = -22*p + 75 + 57. Suppose -4*u = -5*g + 5, p*u + g + 20 = 11*u. Solve 0*i = u*i - 5 for i. 1 Suppose -487 = -8*n - 471. Suppose -n*g + 25 = 5*x - 15, -4*x + 32 = g. Solve x*c = 2*c for c. 0 Let l(j) = -j**2 - 7*j + 3. Let y = -70 - -32. Let o = 31 + y. Let x be l(o). Solve -x = 3*w - 0 for w. -1 Suppose 6 = 5*o - 5*g + 1, -3*o + g = 1. Let j be 3 - -1*(-3 + -14)*o. Solve 4*h = 8*h - j for h. 5 Suppose -m - 3510 = 12*m. Let z be 122/30 + 18/m. Solve 3 + z = -7*b for b. -1 Suppose -419*q - 18 = -421*q - 4*p, 0 = -3*q - 3*p + 45. Solve -q*s = 4 - 25 for s. 1 Let x = 128 - 130. Let j be 4 + -5 + 4 - (x + 5). Solve j = -9*q + 3*q - 24 for q. -4 Let d = 2226 - 2175. Solve -d*v + 60*v = 36 for v. 4 Suppose 103 = -3*p - 3*y - 32, -3 = -3*y. Let n = p - -50. Suppose -22 = -2*d + 2*b - 2, -2*b = -n*d + 30. Solve d*c = 4*c + 1 for c. 1 Let c be (-4 + 16)*(-6)/(-4). Suppose -4*s = -5*m + c, -m + 9 = 2*m - 3*s. Solve 3*w - 3 = m for w. 3 Let j(c) = 2*c**2 - 20*c + 13. Let q be j(10). Solve -37 + 76 = q*k for k. 3 Let v(m) = -17*m**2 - 499*m + 168. Let c be v(-29). Solve -34*l = 23*l - c for l. 6 Suppose -1182*a + 60 = -1172*a. Solve -925*t - a = -928*t for t. 2 Let r = 835 - 825. Solve r - 79 = 23*n for n. -3 Let o(p) = 7676 - 7*p**3 + 2*p**3 - 7671 + 20*p**2. Let s be o(4). Solve -s*q - 12 = -q for q. -3 Let b(k) = -2*k**2 + 28*k + 42. Let w be b(15). Suppose 3*p + 2*i = 71 + 10, -p + 40 = 5*i. Solve -22*f = -p*f + w for f. 4 Suppose 0 = -72*s - 158 + 446. Let f(d) = -d + 25. Let m be f(0). Suppose -m = -n - s*n. Solve -n*a + 15 = -0*a for a. 3 Suppose -45 = 3*v + 5*n, -3*v + n - 17 + 44 = 0. Let a(u) = u + 1. Let j be a(1). Solve -v*d = -j - 23 for d. 5 Let q = 3135 - 3123. Solve -4*k = -k + q for k. -4 Let t(v) = -v**2 - 39*v - 64. Suppose 3*c = -4*q + 7*c - 152, 2*c = 3*q + 113. Let r be t(q). Solve r*k = 5*k - 5 for k. -1 Let r = -33 - -46. Suppose 5*d - 9 = 3*g, -2*g + r = 2*d + d. Let t be (-272)/64*-4 + -17. Solve h + g + 1 = t for h. -3 Let z(p) = -p**3 - 10*p**2 - 22*p + 18. Let f be z(-5). Solve -f*s - 30 = -18 for s. -4 Suppose 2030 - 1982 = 12*h. Solve -76*m - h = -72*m for m. -1 Let q be 678 - 7/21*60. Solve -2*d + q = 648 for d. 5 Let p = 15556 - 15556. Solve -89*l - 204 - 152 = p for l. -4 Suppose -2*a - 5*c - 380 = -a, 3*c - 1068 = 3*a. Let l = 360 + a. Solve -z - 5 = -l for z. -5 Suppose -2*t + 2*q + 2*q - 14 = 0, 0 = -4*t - 4*q + 32. Let j be (2/((-36)/122) - -7) + 25/9. Solve j*s - t = -6 for s. -1 Suppose -32 = -x - 2*g, 7*g = x - 8 - 15. Solve -17*q + x = -11*q for q. 5 Let i(c) = -c**2 + 14974*c - c**2 - 14968*c + 10. Let a be i(3). Solve 5*d - a - 15 = 0 for d. 5 Suppose -p - 7 = 2*f, 0 = 2*f + 2*f - 2*p + 2. Let n = 8 - f. Suppose 7*b = 10*b - 15. Solve 0 = -b*k - 0*k + n for k. 2 Let o(u) = -u**3 + 15*u**2 - 22*u - 48. Let y be o(13). Suppose y*f - 4*t - 36 = 0, -5*f + 2*f - 5*t = 13. Solve a + 20 = -f*a for a. -4 Let l(a) = -4*a + 46. Let n be l(11). Let i(x) = 2*x**3 - 7*x**2 - 4*x + 8. Let g be i(4). Let j = 0 + 0. Solve -g = n*y - j*y for y. -4 Suppose 0*w + 3*w - z - 106 = 0, -4*z = 3*w - 116. Suppose 8*o = -o + w. Solve o*h + 3 = 23 for h. 5 Suppose 0 = -2*c + 22 + 38. Let j(v) = v**3 + 102*v**2 - 251*v - 15212. Let a be j(-103). Solve s + a = c for s. -2 Let c(b) = -b**2 + b + 6. Let y be c(2). Suppose 25*x - 46 = 4. Solve -2*k = y + x for k. -3 Let l(r) = 14*r - 13. Let m be l(12). Let d = m - 153. Solve 0 = -d*q + 5 - 3 for q. 1 Let i = 96 - 24. Let l = 77 - i. Solve u - l*u = -20 for u. 5 Let d = -5010 + 5026. Solve -18*o = -d*o for o. 0 Let t(y) = -y**2 - y + 1. Let g(x) = 2*x**2 - x + 1. Let v(a) = -g(a) - 4*t(a). Let f be v(2). Solve c - 16 + f = 0 for c. 3 Let p = 641 - 623. Let g(r) = -r**2 + 14*r + 74. Let j be g(p). Solve -j*h + 2*h + h = 0 for h. 0 Suppose -3*o + 167 = -5*k, -8*o - 165 = -11*o + 3*k. Suppose 5*j + 2*q = 38, 0 = -2*j - 4*q + o - 42. Solve j*d = -2*d - 20 for d. -2 Let l be (-1385)/(-9 - (-18 - -10)). Solve 9 = l*u - 1376*u for u. 1 Suppose 4*q - d + 15 = 0, 27 = -29*q + 25*q + 5*d. Let m be ((-6696)/(-162))/((-4)/q). Solve 0 = -4*u - 11 + m for u. 5 Suppose 120 = 4*k + 4*j, 1094*k - 1097*k + 94 = 5*j. Solve -k*g = -40*g - 96 for g. -8 Let p(b) = 340*b - 11165. Let y be p(33). Solve -y*x = 176 + 209 for x. -7 Let o = 58 + -52. Let b be (o/18)/(1/(-3)) + 3. Suppose b = p - 1. Solve -5*m + p = 13 for m. -2 Let w(z) = 32*z**3 - 50*z**2 - 3*z + 6. Let l be w(2). Solve l*t + 36 = 44*t for t. -3 Suppose 0 = -4*t - 12, 4*t = -j + 9*t + 52. Solve 0 = -j*v + 35*v - 8 for v. -4 Suppose 2*a - 2 = a + d, 5*a + d + 2 = 0. Suppose 3*y - 2*y - 59 = a. Let z = y - 45. Solve 3*i + 2 = z for i. 4 Suppose 0 = 8*f + 22231 - 24751. Solve f*u - 324*u - 45 = 0 for u. -5 Suppose -4*f - 5 = x, 0 = 4*x + x - f - 38. Suppose -5*i + 2*m = -x*i + 8, -2*i + 20 = 5*m. Solve i = 3*a + 8 - 23 for a. 5 Suppose -5*q = 3*f - 25, -4*q + 5*f = 8*f - 23. Suppose -20 = -q*l - 12. Solve 9 = h + l for h. 5 Let b be 21*(-3)/(-9) - 1812/(48/(-4)). Solve -72*j = 130 + b for j. -4 Let p(k) = 2*k**2 + 20*k. Let u = -247 - -372. Let q = 115 - u. Let f be p(q). Solve 3*c - 15 = -f for c. 5 Let a be (-14)/(-2 - (-12)/9). Suppose -25*n + 22*n = -a. Let t be 25/n + 24/(-42). Solve 0 = -t*b + 4*b + 5 for b. -5 Let h(j) = -6*j**3 + 69*j**2 - 274*j + 214. Let a(m) = m**3 - 14*m**2 + 55*m - 43. Let l(z) = -11*a(z) - 2*h(z). Let t be l(-19). Solve 8*d + t = 13 for d. -4 Let a be 280 + (-1 - (-17)/(-5)) + (-40)/(-100). Solve -8*t - a = -260 for t. -2 Let d(c) be the second derivative of c**4/6 + 7*c**2/2 + c. Let u = -18834 + 18837. Let p be d(u). Solve -5 = -4*i - p for i. -5 Let q be (1/((-20)/135))/(13/(-52)). Solve 15*f = q*f + 24 for f. -2 Let c be (2 - 7/2)*4/(-3). Suppose -3*a - 2*u =
{ "pile_set_name": "DM Mathematics" }
951.7687 What is 0.0616135393 minus 0? 0.0616135393 Add -2 and -1702.9. -1704.9 Subtract -0.3 from -37910.510073. -37910.210073 Calculate 0.0613 - 12.386. -12.3247 Subtract -163106654 from -15.5. 163106638.5 Work out -5 - -22137237. 22137232 What is 5837 minus -2.122? 5839.122 What is the difference between 19356.747 and 0.4? 19356.347 Work out 8.81711296 + -7.4. 1.41711296 Add 1350515 and -8. 1350507 What is 9 + 1832621? 1832630 What is -27993 - 6565? -34558 Total of -2 and -0.0090494. -2.0090494 Sum -0.4 and -3578588889. -3578588889.4 Calculate 21129 + -5213526. -5192397 What is the distance between -383037 and -1122? 381915 Calculate -351740 - -771. -350969 What is the distance between 0.085 and 4319.8? 4319.715 Calculate 9 + -0.08034581. 8.91965419 What is 0.0224185 minus -2.66? 2.6824185 What is -337731.5 - -0.216? -337731.284 What is -11213928 + 5? -11213923 What is 0.05 + -6122393? -6122392.95 Calculate 1.66 - 31534.4. -31532.74 -476.96 + 2.958 -474.002 Calculate 21907555 - -0.034. 21907555.034 Calculate 21720.7 + -12.04. 21708.66 Put together 0.0305 and 299.622. 299.6525 Work out -18623 - 29. -18652 -260335753 - 0.4 -260335753.4 Put together 0.060548 and 4888. 4888.060548 What is -455 take away 6.6354? -461.6354 What is 64 + 7266? 7330 Work out -2188 + -5703. -7891 What is the distance between 16 and 146.6374? 130.6374 Sum 2986 and 371616. 374602 Calculate 36.441 - 137. -100.559 What is -3753 + 553.66? -3199.34 7 - 4303049 -4303042 Add together -32566 and 1066. -31500 Add -8515.6 and 0.352. -8515.248 Subtract -1.215 from 9384.435. 9385.65 Add together 486.7869304 and -0.4. 486.3869304 -2.24 - 29.26733 -31.50733 What is 5 minus 166883? -166878 Sum 22125 and -0.4444. 22124.5556 What is the difference between -0.4 and -218404693? 218404692.6 Work out 1.60638 - 90. -88.39362 What is 21 - -0.1170132? 21.1170132 Add 56.1680697 and 0.5. 56.6680697 Add together -5 and 10899922. 10899917 Add 250.35 and -63004. -62753.65 What is -8057.987 minus 1.042? -8059.029 What is the distance between 662467641 and -7? 662467648 Add 0.079 and 98528211. 98528211.079 Work out 182.9 - -0.04611584. 182.94611584 -3033+1634 -1399 What is 0.4 take away -8955.3281? 8955.7281 Add together -38 and -2071855. -2071893 What is -4536123 plus 1820? -4534303 0.013289576 + -0.06 -0.046710424 Calculate 0.3 + 481064709. 481064709.3 What is -7.38167 + -0.13? -7.51167 Subtract 0.5 from -26964720.152. -26964720.652 What is 2.21 plus 206.493? 208.703 Sum -2179369.8 and 0.032. -2179369.768 What is 1017 less than -432170.4? -433187.4 Calculate -408883 + 0.22724. -408882.77276 -1404 + 0.3247 -1403.6753 Add -2.111421178 and -6. -8.111421178 Sum 9.593 and 1662603. 1662612.593 What is 420.524 take away 882? -461.476 61.02138 - -2 63.02138 What is the distance between -13493348883 and -1? 13493348882 -254 + -308014 -308268 Total of -55445.9252 and -0.1. -55446.0252 -12894674 + -0.072 -12894674.072 What is -382920313.19 - -0.5? -382920312.69 -2208770 + -22 -2208792 Calculate 2238550 - -15228. 2253778 -3822 - -1403.4 -2418.6 What is 101729 + 0.14323? 101729.14323 Sum 2.0323652652 and 5. 7.0323652652 What is the difference between -4 and -8355.0141? 8351.0141 What is -189 plus -10089120? -10089309 What is 0.069 plus 2917516097? 2917516097.069 Add together 1435.794 and 12823. 14258.794 Calculate -41.5 - 1560934. -1560975.5 What is -1155.41 minus -5? -1150.41 Add together 2.192 and 0.052862. 2.244862 Work out -0.907683307 - 0.45. -1.357683307 Add together 206293 and -0.109. 206292.891 Subtract 59973 from 2.29. -59970.71 -3.829702+0.15 -3.679702 What is 0 take away -4404761791? 4404761791 Calculate -2210785 - -190. -2210595 Sum 38.0436 and -121. -82.9564 Total of 22857.27 and 3.9. 22861.17 Put together -5 and 0.11440077. -4.88559923 Sum -4852 and 85009. 80157 Work out 7963 - -28.68427. 7991.68427 Work out 172587 - -1.402. 172588.402 What is 0.07 minus 23.232453? -23.162453 Total of 8.9621 and 18.723. 27.6851 What is -3881458 minus 849? -3882307 Sum -0.09 and 4146.876. 4146.786 Total of 4 and 24110957.5. 24110961.5 What is -152.843 take away -117? -35.843 Subtract 6.935 from -1890. -1896.935 What is -0.61157492 less than 1.4? 2.01157492 What is the difference between 2.39 and 262271? 262268.61 Calculate -3.322 + -71291. -71294.322 Total of -13793654 and 3. -13793651 Add together 0.4 and -749207619. -749207618.6 What is 11 less than -118866962? -118866973 Calculate -0.42858154 - -3. 2.57141846 Total of -1149 and 47.57429. -1101.42571 Add together -1.33122437 and 4. 2.66877563 0.16433+-0.01578 0.14855 What is -148 plus -132193.31? -132341.31 Add together 545687507 and -3. 545687504 -0.1 - 52669.342 -52669.442 What is 0.5912 plus 3093? 3093.5912 Calculate -9999549 - 8.2. -9999557.2 Subtract 528999.318 from 9.3. -528990.018 Put together -1202272198.02 and -0.2. -1202272198.22 Add together 121467984 and -6. 121467978 What is 337126326 - -50? 337126376 Sum -142805 and 1.653. -142803.347 What is the distance between 174871.8 and -8? 174879.8 What is the distance between 1 and 441755.7328? 441754.7328 -111 - -41748 41637 -25 + 13870 13845 Calculate -15.24973 - -1.65. -13.59973 Total of -23.622 and -16.101. -39.723 What is 376.24705 - 3? 373.24705 Put together -10536798 and 32. -10536766 Put together 0 and -6174107. -6174107 Work out 28.838 + 0.064. 28.902 Total of -3750718 and -4. -3750722 What is 121 + 125593.318? 125714.318 What is -81199595 take away 505? -81200100 What is -47.2 + 46699283? 46699235.8 Sum -411.8 and -4722. -5133.8 Subtract -1427779603 from 0.03. 1427779603.03 Calculate -7 + -3.71973491. -10.71973491 -72.45630154 - -7 -65.45630154 -1.3429 - 8 -9.3429 Sum 8 and 262803773. 262803781 Work out 4 - 127382457. -127382453 What is -142357 - 8896? -151253 What is -229 take away 1529.35446? -1758.35446 Sum 119 and 36439. 36558 Put together 92298 and -0.38. 92297.62 Put together 649 and 8609.312. 9258.312 Calculate 2.06 + 2143393. 2143395.06 What is -1358.5738 plus -0.495? -1359.0688 Add 0.557 and -0.2779. 0.2791 -2.0384466433 - 1 -3.0384466433 -1051+44.68087 -1006.31913 Work out 113380 + 26.71. 113406.71 Work out -7550618 - 0.9. -7550618.9 What is the distance between 2988177 and 6.957? 2988170.043 What is the difference between 359027 and -278? 359305 Work out 93449 + -0.014342. 93448.985658 What is 14 + 301550.3744? 301564.3744 What is -2 take away 1628182522? -1628182524 Total of -0.92484 and 0.03. -0.89484 Total of -12.06845 and 52. 39.93155 Total of -7061.31 and -0.2758. -7061.5858 -1 - -1562372591 1562372590 What is 70550 + 0.364933? 70550.364933 2928.98+-1.7 2927.28 3.295 - -508879 508882.295 Calculate -15 - 124309262. -124309277 What is -0.5 less than 2631402? 2631402.5 What is -0.12 + -980.687? -980.807 What is the difference between 0.796713 and 0.4? 0.396713 Calculate 27673 - 450399. -422726 Total of 156.846 and 3347. 3503.846 1271977+-428 1271549 Work out -34976897 + 1.2. -34976895.8 Put together 149.918 and -0.084. 149.834 What is -0.06398 minus -0.00527? -0.05871 What is -128 take away -1.820388? -126.179612 What is -383 minus 196066? -196449 What is -0.8 minus 14.02016624? -14.82016624 Calculate 7727975 + 3. 7727978 Put together -6829 and 0.4507311. -6828.5492689 -319599 + 4.067 -319594.933 What is 311972015 plus 375? 311972390 What is -58.68 less than -0.131727? 58.548273 What is -452563411 less than 0.1? 452563411.1 Sum 0.2594641 and 12. 12.2594641 What is 8.1163 minus -14643? 14651.1163 What is the distance between 2183.9 and 713? 1470.9 Calculate -62754785 - 0.5. -62754785.5 -2733160813 - 1 -2733160814 What is -0.15 - 1436248689? -1436248689.15 15024241474 - 4 15024241470 -782.78 - -906.9 124.12 -96662 - -216.5 -96445.5 Subtract 323.79 from -43511. -43834.79 Calculate -8689534.516 + 0.3. -8689534.216 0.016 - -7488442 7488442.016 Subtract 588867 from 3. -588864 What is the difference between 112572.4 and -10? 112582.4 What is the difference between -644465201 and 5? 644465206 What is 4 less than -52.426466532? -56.426466532 0.0905 - -402 402.0905 Add -0.0185 and -20556. -20556.0185 Add 13.12284 and 17.7. 30.82284 Subtract 8247355 from 29.2. -8247325.8 Add 4138 and -16.77. 4121.23 Work out -60 - 3.0530217. -63.0530217 Calculate -15.35632 + 37.9. 22.54368 Add 26 and -1178
{ "pile_set_name": "DM Mathematics" }
acement from eeoomheojqm? 1/55 Two letters picked without replacement from {x: 6, h: 4}. What is prob of picking 1 x and 1 h? 8/15 Calculate prob of picking 2 b and 1 g when three letters picked without replacement from bodeeedebeeebdeoge. 1/272 What is prob of picking 1 b, 1 s, and 1 q when three letters picked without replacement from bqstytqy? 1/28 Two letters picked without replacement from {o: 1, y: 5, k: 14}. What is prob of picking 2 y? 1/19 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {x: 5, u: 2, a: 2, d: 4, l: 7}. 7/95 Calculate prob of picking 1 t, 2 e, and 1 z when four letters picked without replacement from memefteqqemmzqe. 2/273 Four letters picked without replacement from uyyvul. Give prob of picking 1 v, 2 y, and 1 u. 2/15 Three letters picked without replacement from {r: 1, t: 5, g: 5}. Give prob of picking 1 r and 2 g. 2/33 Four letters picked without replacement from {i: 7, k: 3}. Give prob of picking 4 i. 1/6 Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {s: 4, t: 7}. 14/55 What is prob of picking 1 g, 1 i, and 1 r when three letters picked without replacement from {n: 1, m: 1, i: 4, r: 8, g: 6}? 16/95 Calculate prob of picking 2 f when two letters picked without replacement from ffeeeffffefefeffff. 22/51 Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, c: 1, l: 2, d: 1}. 1/7 Calculate prob of picking 4 l when four letters picked without replacement from rllrlrlllllrerrllllr. 33/323 Two letters picked without replacement from {x: 2, k: 1, l: 7, o: 7}. Give prob of picking 1 x and 1 l. 7/68 Calculate prob of picking 2 j when two letters picked without replacement from {t: 1, j: 7, y: 10}. 7/51 Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 2, x: 7, r: 1, u: 1, c: 5}. 1/60 Four letters picked without replacement from mmmmmmzmmmzmmmmz. Give prob of picking 3 m and 1 z. 33/70 Four letters picked without replacement from laayajlaaajayqjaqyaa. What is prob of picking 1 a, 1 q, and 2 y? 4/323 Calculate prob of picking 2 k when two letters picked without replacement from bbbbkbbbkkbbbkhbkkh. 5/57 Calculate prob of picking 4 y when four letters picked without replacement from pypypyyppp. 1/210 Three letters picked without replacement from {p: 2, r: 2, w: 1, x: 1}. What is prob of picking 1 x and 2 p? 1/20 What is prob of picking 3 j and 1 z when four letters picked without replacement from izjiqziizzzjzji? 2/455 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from tttttttbbtttttttttt. 34/171 What is prob of picking 2 o when two letters picked without replacement from {o: 10, m: 2}? 15/22 Four letters picked without replacement from {u: 4, n: 16}. What is prob of picking 4 u? 1/4845 Two letters picked without replacement from {u: 2, o: 2, b: 4}. What is prob of picking 2 u? 1/28 Calculate prob of picking 2 e and 2 h when four letters picked without replacement from hhhhhhhhhhhhhhehheeh. 8/95 Calculate prob of picking 1 x and 2 i when three letters picked without replacement from iixxmtxmftmfmhxtmxmi. 1/76 Calculate prob of picking 2 n, 1 x, and 1 o when four letters picked without replacement from onxnomnonmnqnqxm. 9/182 Two letters picked without replacement from {w: 2, v: 3, p: 2, r: 11, c: 1}. Give prob of picking 1 w and 1 p. 4/171 Calculate prob of picking 4 o when four letters picked without replacement from {u: 2, o: 5}. 1/7 Four letters picked without replacement from {c: 3, y: 2, k: 6, a: 2}. What is prob of picking 2 y, 1 a, and 1 c? 6/715 Calculate prob of picking 2 x and 2 f when four letters picked without replacement from fxxfxxcfxfffxf. 45/143 Three letters picked without replacement from {e: 3, d: 4, y: 11}. What is prob of picking 1 y, 1 d, and 1 e? 11/68 Four letters picked without replacement from qcczqcqacwqaqqd. Give prob of picking 2 z and 2 c. 0 Calculate prob of picking 4 v when four letters picked without replacement from vhhvvvvvvvvv. 14/33 What is prob of picking 3 r and 1 p when four letters picked without replacement from {p: 7, c: 3, r: 3, q: 2}? 1/195 Two letters picked without replacement from jjjjll. Give prob of picking 1 j and 1 l. 8/15 Four letters picked without replacement from neggceenpnnpiepgpng. What is prob of picking 1 g, 2 e, and 1 n? 10/323 Two letters picked without replacement from {b: 6, o: 4, f: 5, k: 1}. What is prob of picking 1 o and 1 b? 1/5 Calculate prob of picking 2 c, 1 h, and 1 i when four letters picked without replacement from {r: 1, c: 7, h: 1, i: 9}. 21/340 What is prob of picking 1 a and 3 b when four letters picked without replacement from bbabbbbbbbbb? 1/3 Three letters picked without replacement from lleeell. What is prob of picking 1 e and 2 l? 18/35 Calculate prob of picking 3 b when three letters picked without replacement from bbzbddzkznz. 1/165 What is prob of picking 3 g when three letters picked without replacement from gllllllgllllgllgll? 1/204 Three letters picked without replacement from {y: 4, c: 3, p: 5, u: 5, w: 2}. What is prob of picking 1 w, 1 y, and 1 u? 40/969 Calculate prob of picking 3 p when three letters picked without replacement from ppqpppqpppqp. 21/55 Three letters picked without replacement from xxxuxuxxuuuxu. What is prob of picking 3 u? 10/143 Four letters picked without replacement from xaxxaaaqqxxqqxxa. Give prob of picking 4 x. 1/52 Calculate prob of picking 2 b and 2 g when four letters picked without replacement from {b: 9, g: 5}. 360/1001 Calculate prob of picking 3 o when three letters picked without replacement from ooolllollllollolll. 5/204 Calculate prob of picking 3 c and 1 p when four letters picked without replacement from {c: 3, p: 3}. 1/5 Three letters picked without replacement from {q: 2, j: 2, l: 12, n: 1, o: 1}. Give prob of picking 1 o, 1 j, and 1 q. 1/204 What is prob of picking 1 q and 1 a when two letters picked without replacement from whuhhaqwuuhahauwww? 1/51 What is prob of picking 1 j and 2 c when three letters picked without replacement from {q: 12, j: 1, c: 3}? 3/560 What is prob of picking 2 l and 1 d when three letters picked without replacement from {l: 6, d: 7}? 105/286 Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 5, u: 9}. 45/91 Four letters picked without replacement from hhhphpbbb. What is prob of picking 2 b and 2 h? 1/7 Calculate prob of picking 3 e when three letters picked without replacement from {e: 5, r: 13}. 5/408 Three letters picked without replacement from vhnohokloklkvo. What is prob of picking 2 l and 1 h? 1/182 Calculate prob of picking 1 r, 1 f, and 2 x when four letters picked without replacement from tvvxtarvfxvf. 2/495 Four letters picked without replacement from {h: 1, d: 6, s: 1, t: 7}. What is prob of picking 3 d and 1 h? 4/273 What is prob of picking 1 w and 1 x when two letters picked without replacement from ccscccswsssscxccccws? 1/95 Four letters picked without replacement from ppppizzpizpp. Give prob of picking 3 p and 1 z. 7/33 Three letters picked without replacement from {e: 3, z: 1, m: 4}. What is prob of picking 3 e? 1/56 Four letters picked without replacement from odoododo. Give prob of picking 2 o and 2 d. 3/7 Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {f: 13, e: 2, p: 5}. 1/19 Two letters picked without replacement from umkdlklkkkkl. Give prob of picking 1 k and 1 d. 1/11 Calculate prob of picking 4 w when four letters picked without replacement from uuwuwuuuuuuuuuuuuuu. 0 Calculate prob of picking 1 z, 1 h, and 2 i when four letters picked without replacement from {z: 1, h: 7, f: 6, i: 6}. 7/323 What is prob of picking 1 j, 1 p, and 2 u when four letters picked without replacement from {j: 1, y: 5, u: 3, p: 2, e: 5}? 3/910 Two letters picked without replacement from {k: 5, g: 3, d: 1, i: 2, r: 8, j: 1}. Give prob of picking 2 k. 1/19 Four letters picked without replacement from ippepipiepppezpnpd. Give prob of picking 3 i and 1 d. 1/3060 Two letters picked without replacement from {c: 8, f: 2, t: 2, j: 3}. Give prob of picking 2 j. 1/35 Four letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
- 0.036. Let d(b) = b**3 - 4*b**2 + 2*b + 2. Let j be d(3). What is the closest to t in o, 0.1, j? j Let k = -0.25 - -0.05. Let z = -2 - -1. What is the closest to 1 in -5, k, z? k Let k be 1 + (6/4 - 2). Let u = -4.83 - 0.17. What is the nearest to k in 3/7, u, 3? 3/7 Let w = 7.34 + -8.2. Let n = 0.14 - w. What is the nearest to -0.1 in -5, -0.5, n? -0.5 Suppose 10*p - 4 = 12*p. Let w = 0.3 + -0.5. Which is the closest to 0? (a) w (b) 5 (c) p a Let l = -4.292 + 0.262. Let i = l + 4. Let m = -0.37 + i. What is the closest to -0.1 in 0, m, 0.4? 0 Let d be 6/36 + 0 + 2/(-12). Which is the closest to 1? (a) 1 (b) 3 (c) d a Let q = 12 + -7. Which is the closest to -2? (a) q (b) -0.1 (c) -0.2 c Let p = 1.9 + 0.1. Which is the closest to 1? (a) -3/5 (b) p (c) 3 b Let q = 13 - 9. Let o = -4.96 + 5. Let j = 1.04 - o. Which is the nearest to 0.1? (a) j (b) q (c) 0 c Let z = -4 - -3.9. Which is the nearest to -3/2? (a) 0 (b) z (c) -4 b Let m = 14.1 + -14.4. Which is the nearest to 0? (a) m (b) 27 (c) -5 a Let z be ((-1)/18)/(1/(-4)). What is the nearest to 2 in 0.5, -0.3, z? 0.5 Suppose 2*d = 15 - 1. Let p = d - 6. Which is the closest to p? (a) 2 (b) -4 (c) 0.1 c Let v = -29 - -89/3. Suppose 0 = -5*r + c + 15, 21 = 3*r + c - 4*c. Let p be r/9*(3 + -2). What is the closest to p in 2, -3, v? v Let y = 1122.99 + -1128. Let c = 0.01 + y. What is the closest to 1 in -2/5, -1/2, c? -2/5 Let u = 1.51 + 0.49. Let a(g) = g**3 + 3*g**2 - 3*g - 4. Suppose 3*b - 2*b = -5*h - 10, 3*b = h + 18. Let f be a(h). What is the closest to 2/5 in -3, f, u? u Let t be 32/(-55) + 2/5. Let m = 5/2 + -31/14. What is the closest to 0 in 5, m, t? t Let u = 75 - 70. What is the closest to 3/7 in 2, u, 0.2? 0.2 Let w be 6/(-8)*1/(-3). Suppose 4*q - 2*o + 18 = 54, -3*q = o - 22. Let t be (2/q)/((-36)/32). Which is the nearest to w? (a) 2/7 (b) t (c) 5 a Let c = 93/28 + -18/7. Let g = 2 + -1. Let b(a) = -a**3 + 4*a**2 - a + 5. Let q be b(4). What is the closest to q in g, -1/5, c? g Let b = 47/9 - 5. What is the closest to -1 in b, -0.4, 11? -0.4 Let y = -25.1 + 25. What is the closest to y in 2/13, -1/7, -3/10? -1/7 Let o = -8 + 13. Let l(z) = 2*z**2 - 1. Let m be l(2). Let k be (-24)/(-56) - 3/m. Which is the closest to 0.1? (a) 1 (b) k (c) o b Let t = -128 + 128. Which is the closest to -13? (a) -0.1 (b) t (c) 0.2 a Let v be 4/(-6) - 7/((-105)/4). Which is the nearest to v? (a) -0.5 (b) 2/7 (c) -4 a Let k = 3 + -3. What is the closest to k in 5, 1/5, -0.3? 1/5 Let a = 0 + -1. Let v = -10 + 20. Let l = -9 + v. What is the nearest to l in a, -4, -5? a Let o = 164/3 - 55. Let s = -6 + 9. Let w = -2 - -2.1. What is the closest to o in -1, w, s? w Suppose 3*u + 0*u + 12 = 0. Let v = -1 - u. Let g = -0.2 + 0.1. Which is the closest to 1/5? (a) g (b) 5 (c) v a Let l(f) = f**2 + 9*f - 13. Let r be l(-10). Which is the closest to 2? (a) r (b) 0.5 (c) 0.4 b Let j be -4 - 43/2*2. Let x = -142/3 - j. Which is the closest to x? (a) -5 (b) 0 (c) -1/5 c Let r = -11.26 - -0.26. Let s = -10.8 - r. Which is the closest to 0.1? (a) 3 (b) -1/5 (c) s c Let h be 33/(-18) - 2/(-1). Let d(i) = i**3 + 6*i**2 + 5*i + 4. Let t be d(-5). Let p = 0.2 - 0.3. Which is the closest to p? (a) t (b) h (c) -2 b Let l = 0.71 - 0.21. What is the nearest to -0.2 in -0.3, l, 1? -0.3 Let g = 0.5 + -0.1. Let k = -3.9 - -4. Let q = -2.7 + 3. Which is the closest to k? (a) -3 (b) g (c) q c Let k = -19 + 20. What is the nearest to k in 2/13, -4, 0? 2/13 Suppose -10 = a - 4*g, 2*g + 2*g - 20 = -4*a. What is the nearest to -2 in 0.1, -0.1, a? -0.1 Suppose -2*m = -3 + 11. What is the closest to m in 2, -4, 5? -4 Let w(p) = -p**2 + 8. Let t be w(-3). What is the nearest to 0.1 in 1/11, 0.05, t? 1/11 Let r = -0.3 + 0.7. Which is the closest to 0? (a) -1/6 (b) r (c) -4/3 a Let h = -0.5 + 1.5. What is the closest to 0 in h, -1/3, -0.4? -1/3 Let r = 47/3 + -85/6. Which is the nearest to -1? (a) 5 (b) r (c) 6 b Let u = -0.03 - -6.03. Let k = -57.4 + 63. Let w = k - u. Which is the nearest to 2/7? (a) 0.4 (b) w (c) -0.2 a Suppose 5*w - 23 = 27. Let t be (w/4)/(7/(-14)). Which is the nearest to 0.2? (a) -2/11 (b) -0.5 (c) t a Let y be 21/(-42)*(12 - 0). What is the nearest to 1 in -4, 3, y? 3 Let z = -0.953 - 0.047. What is the nearest to z in -26, -0.3, 0.1? -0.3 Let p(s) = -s**2 + 6*s - 6. Let w be p(4). Suppose -z = -r + 3, 4*r = -w*z + 16 + 14. Let v = r + -3. What is the nearest to 0.1 in -3/5, v, 0? 0 Let u = -0.2 + 0. Let j = 0.3 - 0.4. Let n = j - u. Which is the nearest to n? (a) 0.3 (b) -4 (c) 1/3 a Let y = -6.4 - 0.6. Let l = y - -9. Which is the closest to l? (a) -3 (b) -0.2 (c) -2 b Let o = 2.3 + -3. What is the nearest to -1 in -4/5, 4, o? -4/5 Let g = 0.25 - 5.25. Which is the nearest to -4/13? (a) 3 (b) -1 (c) g b Suppose 3*s - 5*q = 17, s = 2*q - 2 + 9. Let l be 2/10 - (-160)/(-300). What is the nearest to -1/2 in s, 3/5, l? l Let x = 0.2 + 0.8. Let f = 285 + -4277/15. Which is the closest to x? (a) 3 (b) f (c) -3/2 b Let r = 59 - 63. Which is the closest to -3/4? (a) r (b) 4 (c) 0.5 c Let g be ((-80)/32)/((-1)/2 - -1). Let w be (-2)/(-6)*(-6)/4. What is the nearest to -1 in g, 5/4, w? w Let f = 0.01 + 0.39. Suppose -5*t = -2*t + 3*r + 3, -5*t + 2*r = 26. Let d be (-3)/(-6)*t + 2. Which is the closest to d? (a) -2 (b) f (c) -5 b Let d = 17/42 + 2/21. What is the nearest to d in -0.1, 5, 0.1? 0.1 Let s = 7 + -16. Let o = s + 8. What is the nearest to -0.2 in 3, o, 0.2? 0.2 Let l = 9.9 + -10. What is the closest to 0 in 3, l, -1/5? l Let p(g) = 4*g + 4. Let y be p(-2). Which is the closest to -2/7? (a) y (b) -2/17 (c) -1 b Let x = -45 - -26. Let r = 1239 - 3773/3. Let h = x - r. Which is the nearest to 0? (a) 1 (b) -2 (c) h c Let q = -3 + 3. Let m = -4 - -4.4. Let u = 0.04 - -2.96. Which is the closest to q? (a) 1/4 (b) u (c) m a Let q = 6 + -5.8. Let s = -0.6 + q. What is the closest to -3 in -3, s, 4? -3 Let n = 50 - 50.3. What is the closest to 4 in -3/2, -2, n? n Let m = -0.12 + 0.12. What is the nearest to m in 1, 3/5, 1/6? 1/6 Let t be (-10)/(-60) + 7/(-6). Let m = 14 - 10. Let d = m + -4.5. What is the nearest to 2 in t, 0.3, d? 0.3 Let s be (-1 - 1) + 28/15. Let m be ((-8)/6)/(-1 - -2). Which is the closest to s? (a) 2/7 (b) 0.1 (c) m b Suppose 0*m = -5*m + 15. Suppose 2*o + 25 = -m*o + 5*n, -4*n = 3*o - 6. Let f be 2/17 + o + 2. What is the closest to -1 in -1/7, f, -3? -1/7 Let d = 58 - 53.9. Let i = 3.2 - -0.8. Let s = d - i. What is the closest to s in 0, 0.1, 3? 0.1 Let v be (-10)/8 - (-4)/2. Let t(x) = -4*x + 1. Let q be t(1). What is the closest to v in q, -2, 0? 0 Let t = -15/7 - -54/35. What is the nearest to -0.1 in 5, 1, t? t Let r = 3 + -2.9. Let y = 0.503 - 0.103. Let m(k) = -k + 5. Let o be m(5). Which is the nearest to o? (a) r (b) 3 (c) y a Let l(q) = q**3 - q**2 - q + 6. Let m be l(0). Let x be (7 - m)*2/24. Which is the nearest to 0? (a) -1/3 (b) 4 (c) x c Suppose 4*w + 1 = 2*g - 9, 5*w + 30 = -g. Let o be (-6)/(-24) + w/8. Let x = -9/16 + 19/48. What is the closest to 0 in o, 5, x? x Let d = 18 + -16.2. Let m = -2 + d. What is the closest to -3/5 in -5, m, 4/7? m Let p = -18/7 - -79/28. Which is the closest to p? (a) -5 (b) -4 (c) -1/6 c Let t = -3.3 + 1.3. Let k = -3.3 + 3. Which is the closest to 2/3? (a) t (b) k (c) 0.5 c Let z = 2 + -2.4. Let o = 0.078 - -0.022. What is the closest to o in z, -3, 5? z Let m be (-6)/(-3) + (-1 - 1). Suppose -3*v - f + 0*f = 3, -3*v + f - 3 = m. Which is the closest to 0? (a) v (b) 2/3 (c) -5 b Let g = -21 + 104/5. Let y be -1 + 7*(-1)/(-5). Suppose -5*q - 4*i = -2*q - 11, -3*i - 18 = -3*q. Which is the closest to y? (a) q (b) g (c) -3 b Suppose 0 = 5*m - 20 - 0. Suppose m*q = 3*t - 5, q = -4*t + 3*q. Suppose -6*s + 2*s = -8. Which is the nearest to t? (a) -4/3 (b) s (c) -3/2 a Let l = -0.08 + 0.14. Let w = l - -0.94. What is the closest to w in -3, 0.4, 4? 0.4 Let x be 36*-1*5/10. What is the nearest to 0 in 3, x, 2? 2 Let u = 5.95 - -0.05. What is the nearest to u in 1/3, 2/3, -0.1? 2/3 Let v = -596/21 - -86/3. Let f = -0.17 + 0.17. What is the closest to f in v, -1, -0.3? v Let x(d) = d. Let v be x(1). Let z be (0 - 2) + 4 + v. Let r =
{ "pile_set_name": "DM Mathematics" }
11775524 take away -1007? -111774517 Calculate -4.7272602278 - 7. -11.7272602278 -0.284 + 5779051786.3 5779051786.016 What is -0.35 - 7581.766342? -7582.116342 Subtract -0.033 from 23438411697. 23438411697.033 Calculate 23057331886060 + -0.2. 23057331886059.8 Sum 6969871962 and 3.7. 6969871965.7 -0.122956 + -95430.85 -95430.972956 -5+609823440749 609823440744 Sum 289791 and 1005288.1. 1295079.1 What is 23502623314.7 take away 0.7? 23502623314 -1919.51 + -1.0283363 -1920.5383363 What is 0.038 minus -120.5658767? 120.6038767 -33851 - 204613507 -204647358 Total of -1298984148 and -156. -1298984304 Work out -73145.939881 - 183. -73328.939881 What is -10467299756 take away -18? -10467299738 Add together -77114182194 and -1.5. -77114182195.5 What is 5 less than -1957.650261913? -1962.650261913 Put together 4642.75 and -486454.8. -481812.05 Sum 1991126861 and -42. 1991126819 What is 21962550 take away 0.106842? 21962549.893158 666.4 - 231748.9 -231082.5 What is 48351.566 less than -25170? -73521.566 Put together -777245041576 and 0.02. -777245041575.98 Add together -1776655036.6 and 69. -1776654967.6 Work out -127975 - -19.3092265. -127955.6907735 Add together 0.0426 and -1286596.78. -1286596.7374 What is the difference between -3 and 6044215513.996? 6044215516.996 What is 1083016 + 249.3? 1083265.3 What is 2 take away -1760787507386? 1760787507388 Calculate -35391664143 - -634. -35391663509 What is the difference between 29629499701 and -2.3? 29629499703.3 Add together 0.280834315 and -780.355. -780.074165685 Total of -95116926 and -72064. -95188990 151 - -478058327.704 478058478.704 Total of 5124108.6 and 3130. 5127238.6 What is 3 - 254.26631725071? -251.26631725071 Calculate -318621339 + -1590. -318622929 -0.4+4438727691008 4438727691007.6 431.13 - -73044431 73044862.13 -23765.432607 - 0.04 -23765.472607 Calculate -29788.9 - -43418571. 43388782.1 Total of -114.677 and -969428858. -969428972.677 0.4+-46956944995 -46956944994.6 -196632143 - 0.226 -196632143.226 What is 3 take away 13.451843401777? -10.451843401777 -0.173+-1631244731 -1631244731.173 Sum 44525857911 and 3.118. 44525857914.118 Calculate 104093433019 - -0.77. 104093433019.77 Add together 51.71074982 and -73. -21.28925018 Work out 3425913475 - 8684. 3425904791 What is -629472165 less than -10.9? 629472154.1 Work out -8486 - -165055889. 165047403 0.5+-70277593075194 -70277593075193.5 Add 76009.812851 and 143. 76152.812851 Total of -1688.55925837 and 31. -1657.55925837 What is -1.8 - -1944820574930? 1944820574928.2 What is 676427539 - -59? 676427598 Work out 2026 + 5606579.2. 5608605.2 What is 67228.620236 plus 0.069? 67228.689236 0.10494+105826392 105826392.10494 24346997.7 - 7860.14 24339137.56 What is -2.1 less than 16.2016047? 18.3016047 -0.2 - 6687411.61769 -6687411.81769 What is the difference between -0.05718693 and 14131547? 14131547.05718693 What is 34125.7744 + 37733? 71858.7744 What is the difference between 15821.68 and 39.81995? 15781.86005 What is the distance between -3729447.2037 and 74? 3729521.2037 Calculate -186 + -31064583721. -31064583907 What is 0.013 + 2880.3525423? 2880.3655423 1+7990067463273 7990067463274 Add together 370500.986351 and -0.2494. 370500.736951 Put together -0.78 and 3905214851. 3905214850.22 What is -136 plus 1734210.25888? 1734074.25888 Work out -0.8 - 831738.5511. -831739.3511 Subtract -0.0387 from 255681720. 255681720.0387 What is -2176151 plus 16.49007? -2176134.50993 What is -1.08005994 plus 62286? 62284.91994006 What is the distance between 13719 and 39392549? 39378830 What is -4.81 less than -1616819941? -1616819936.19 Add -0.18 and 52185.25567. 52185.07567 Calculate -488051 + -88480.9. -576531.9 What is the difference between -86.30108544 and 2.446? 88.74708544 Add together -165653.63756171 and 0.3. -165653.33756171 Add together 3505.34 and 21800.694. 25306.034 Put together -17805524490951 and 0. -17805524490951 3714894 + 951142 4666036 What is 1566867.6 take away 0.39372? 1566867.20628 What is -398571208961.592 minus 0? -398571208961.592 -1.3588001 - 708.4409 -709.7997001 Add 135839056 and -70338.5. 135768717.5 Subtract -2246 from -287054.14. -284808.14 What is -14 minus 135202483.30721? -135202497.30721 What is the difference between 15111 and -4766.779? 19877.779 19888548 - 2.0882 19888545.9118 208994391+3427 208997818 Add -2195 and 147407021. 147404826 Subtract -147026065081 from -65. 147026065016 Add 80476418.64068 and -3. 80476415.64068 Subtract -36.94 from 7516983606. 7516983642.94 Total of 6.81 and 426292359. 426292365.81 -43500885.133+2 -43500883.133 What is the difference between 947 and -1936654039.6? 1936654986.6 Calculate -32832.467 - 860. -33692.467 Calculate 106 + 0.0284691594937. 106.0284691594937 What is the distance between 2270709 and -2198885.2? 4469594.2 What is 1 take away -61.684352973429? 62.684352973429 Calculate 3236963 + 299962. 3536925 0.0374 + -4734343.2 -4734343.1626 What is -4365856 plus 397624? -3968232 -28951+-12099.02117 -41050.02117 -5103960.29+0.05216 -5103960.23784 Total of 378510195847.2 and -0.58. 378510195846.62 Subtract 4755833 from -2087451. -6843284 Sum -1987 and -460791699. -460793686 What is -0.447 less than 105006.62562? 105007.07262 What is -66567.1538 plus 35.82? -66531.3338 Put together 3 and 9077427023806. 9077427023809 Work out 0.09 - 1456824290559. -1456824290558.91 What is -28030849.6359 minus -10? -28030839.6359 Calculate 11 - 19744301568. -19744301557 Work out 6264986 - 1217493. 5047493 What is -4831882389813 take away 0? -4831882389813 Sum 561557077.656 and 24. 561557101.656 What is -1188.16992 less than -1181831? -1180642.83008 58.9 + -457.416415 -398.516415 Add together -0.9 and -352898979759. -352898979759.9 What is -1143592785264 less than -0.3? 1143592785263.7 -505.06 + -1862911 -1863416.06 What is -1625968603 take away 348.2? -1625968951.2 Add 36577412042 and 0.9. 36577412042.9 Work out -0.039 + 160086334. 160086333.961 What is the difference between 90420110401 and -0.4? 90420110401.4 What is 5.288216403254 - -0.06? 5.348216403254 What is 13908523.6 less than -6.7372? -13908530.3372 38232275 - -1730 38234005 -324434 - 4.501022 -324438.501022 Work out -494462767041 - 0.0199. -494462767041.0199 Subtract 0.04 from 3656758522242. 3656758522241.96 Calculate 30862.28 - 312391923. -312361060.72 What is -0.57173 plus -131818? -131818.57173 Subtract 0.1 from -151573.0552875. -151573.1552875 What is the distance between -465556.7247 and -130548? 335008.7247 What is -194.824 + 0.9502272? -193.8737728 Subtract -74.0828 from -798917.4. -798843.3172 What is 1 - -7835147976856? 7835147976857 What is -2.74 take away -59101357? 59101354.26 Work out -0.87 - 296374276.5. -296374277.37 Add together -2522175887028 and 2.26. -2522175887025.74 197189.3534+0.06 197189.4134 What is -0.9 - 549050577332? -549050577332.9 Subtract 564 from 0.1257389423. -563.8742610577 What is the distance between -1836307 and 0.1094034? 1836307.1094034 Total of -0.4 and 124471713. 124471712.6 Subtract 12798152 from -0.1812402. -12798152.1812402 What is the distance between 466535.68 and -12053? 478588.68 Calculate 1486975.50687 + -0.06. 1486975.44687 -11.271+105401045 105401033.729 Subtract 10.7399383155 from 9. -1.7399383155 What is 2956.446 take away 21.0212? 2935.4248 Work out -3 + -4.2220347928. -7.2220347928 What is 1037423.39345 less than -15.7? -1037439.09345 Work out -35 + 17177781421395. 17177781421360 What is -2440296 minus -542942? -1897354 What is 424.2036326 minus 3028.4? -2604.1963674 Add together -3744576970 and 0.26393. -3744576969.73607 What is the distance between 5419629.3 and 0.01692? 5419629.28308 Subtract 754.5541 from -599170. -599924.5541 What is -0.1936902 minus 0.236062? -0.4297522 Calculate -50163 - 14.902483. -50177.902483 Sum -991482804.65 and 0.3. -991482804.35 Calculate 224.6712 + 12494447. 12494671.6712 What is 3.3 less than -1713651.21478? -1713654.51478 Put together 213696248997 and -5. 213696248992 Subtract -3295809 from -8.76884. 3295800.23116 What is -30562934 - -8795971? -21766963 Sum 217257 and 523054.8. 740311.8 1.8759 + 1385.3204 1387.1963 Add together -987 and -66963052732. -66963053719 Add together 639 and -33370722. -33370083 What is the distance between 2 and 147445719133? 1
{ "pile_set_name": "DM Mathematics" }
*b - 67 = -4*x, 8 + 4 = 4*x. Suppose 2*k + 1 = b. What is the units digit of k? 5 Let c(x) = 2*x - 4. Let o(d) = d**3 - 5*d**2 - 3*d - 5. Let j be o(5). Let q be (j/(-6))/(8/24). What is the tens digit of c(q)? 1 Let u = -30 + 50. Suppose -2*f = 3*f - u. Suppose 7*x - 54 = f*x. What is the tens digit of x? 1 Let c(i) = i**2 + 2*i. Suppose -3*h - 54 = 3*h. What is the units digit of c(h)? 3 Let c(k) = 6*k - 2. Let f be c(-1). What is the tens digit of (6/f)/((-3)/132)? 3 Let j = 65 - 1. What is the tens digit of j? 6 Suppose -1194 = -8*q - 442. What is the tens digit of q? 9 Suppose 3*u = 3*t - 1983, -9*t = -4*t + 5*u - 3275. What is the tens digit of t? 5 Suppose -50 = 3*v + 148. Let o = -39 - v. What is the tens digit of o? 2 Suppose -2*c = 10, -q - 5 = -2*q + c. Suppose 0 = -4*r - 2*u - q*u + 106, -3*r = -u - 67. What is the tens digit of r? 2 Suppose 2*d - s - 1753 = 831, 5*s = -2*d + 2596. What is the hundreds digit of d? 2 Suppose -2*u + u + 704 = n, -4*u + 2795 = -3*n. What is the units digit of u? 1 Let u = 776 - 386. What is the tens digit of u? 9 Let s = -34 - -34. Suppose -12*f + 17*f - 575 = s. What is the units digit of f? 5 Suppose -26307 = -19*t + 24347. What is the hundreds digit of t? 6 Suppose 3*o - 63 = -2*d + 3*d, 0 = 4*o - 3*d - 89. Let v = -11 + o. Suppose -v = -4*b + 87. What is the units digit of b? 4 Suppose -5*w - 264 = -2*r + 478, 0 = 2*w + 4*r + 292. Let o = w + 355. What is the hundreds digit of o? 2 Suppose -146 = -m + 5*b + 69, 0 = 3*b - 6. Suppose -4*z = -3*n + 64 + 71, 0 = -5*n - 5*z + m. What is the tens digit of ((-59)/(-3))/(15/n)? 5 Suppose -4*v = -4*l - 60, 4*l - 10 = -3*v - 0*l. What is the tens digit of ((-45)/v)/((-2)/28)? 6 Let l = -5 - -9. Suppose 4*v = o - 179, -7 + 19 = l*o. What is the units digit of (-476)/v + (-8)/(-44)? 1 Suppose -3*d - 420 = -8*d. Suppose y = -3*m + d, -4*m = -3*y - 0*m + 200. Suppose -2*i + 4*x + 54 = -0*x, 0 = 2*i + 5*x - y. What is the tens digit of i? 3 What is the thousands digit of 55/(-33) + (-4718)/(-3)? 1 Suppose -8 = -l + 90. Suppose 3*a = -l + 8. What is the units digit of (432/a)/((-6)/20)? 8 Let f(v) = -v**3 + 2*v + 2. What is the units digit of f(-2)? 6 Let x = 7 - -1. Suppose n - 8 = 2*r, -5*r = 3*n + 2*n - 10. What is the units digit of (-48)/(-1)*n/x? 4 Let a(v) = -v**2 + 165*v + 404. What is the units digit of a(50)? 4 Let a(p) = 8*p + 15. Let z(c) = 9*c + 15. Let s(h) = -4*a(h) + 5*z(h). What is the units digit of s(7)? 6 Let z(c) = c - 10. Let y be z(12). Let a = -63 + 36. What is the tens digit of 0*y/8 - a? 2 Let p(y) = y**3 + 20*y**2 + 4*y + 18. What is the units digit of p(-14)? 8 Suppose -12 = 3*n + 3. Let d(k) = -k**2 - 5*k + 4. Let c be d(n). Suppose c*v - 218 = 46. What is the units digit of v? 6 Let y(p) = -p**3 - 19*p**2 + 18*p - 4. Let i be y(-19). Let o = 567 + i. What is the units digit of o? 1 Suppose 4*g - 2*g = 1322. What is the units digit of g? 1 Suppose 8*o = 4*o - 4*m + 144, -3*o - m + 112 = 0. Suppose 3*n = -2*n + 190. Suppose -a + n + o = 0. What is the units digit of a? 6 Let a(j) = 119*j - 402. What is the tens digit of a(8)? 5 Suppose -1164 - 1125 = -7*z. What is the units digit of z? 7 Suppose -2*f - 2*q + 0*q = -16, f - 20 = -4*q. Suppose -6*v = -2*v - f. Suppose 0 = -z + v + 9. What is the units digit of z? 0 Let d = -2013 - -4357. What is the tens digit of d? 4 Let j = 6344 - 3358. What is the units digit of j? 6 Suppose 7358 = 33*q - 21781. What is the tens digit of q? 8 Suppose 3*q + 8 = -q. Let v(a) = a + 4. Let x be v(q). Suppose 3*f - 24 = x*f. What is the tens digit of f? 2 Let o = -65 + 702. What is the hundreds digit of o? 6 Suppose -477 = -3*o + 3*n, -20*o - 4*n + 786 = -15*o. What is the hundreds digit of o? 1 Let s be (4/(-6))/((-5)/15). Suppose p - 8 = s. Suppose -2*j + p = -2. What is the units digit of j? 6 Let z be 2/5 - (-102)/(-30). What is the tens digit of -3*(z - (-208)/(-12))? 6 Suppose 3*q + 0*q + 1824 = 0. What is the units digit of 2/(-1 + q/306 + 3)? 3 Let m = 62 + -37. Suppose -m = -4*x + 7. Suppose -t = -6 - x. What is the units digit of t? 4 Let d(t) = 4*t**3 - 7*t**2 + 2*t + 9. Let i = -55 + 59. What is the hundreds digit of d(i)? 1 Let n = 50 - 39. Suppose -4*v + 53 = -n. What is the units digit of v? 6 Suppose 880 = 11*s - 7590. Let a = s + -468. What is the tens digit of a? 0 Let r = 541 - 298. What is the tens digit of r? 4 Let v(w) = w**3 + 13*w**2 + 16*w + 12. What is the tens digit of v(-10)? 5 Suppose 65757 = 16*x + 10717. What is the tens digit of x? 4 Let v(b) = b**2 - 20*b + 40. Let r be v(18). Suppose -670 = -9*h + r*h. What is the tens digit of h? 3 Suppose -5 - 10 = -2*s + 3*j, -2*j = 5*s + 10. Let h be 26 + 0 - (s - -1). What is the units digit of 1/(-1) + (h - -10)? 4 Let c(x) = 2 - 5*x**2 - 6*x**2 + 4*x - 28*x**3 + 14*x**2 - x**2. What is the tens digit of c(-1)? 2 Let k be (-518)/(-12) - (-2)/(-12). Suppose -y - 3 = 2*x, 4*x - 5*y = -14 + k. Let n = 43 - x. What is the units digit of n? 2 Let i(h) = 3*h**3 + 8*h**2 - 6*h + 17. Let g be i(6). Suppose -11*s + g = -4*s. What is the units digit of s? 1 Suppose -k + 4*h + 1502 = 0, 36*k - 3*h - 4533 = 33*k. What is the tens digit of k? 1 Suppose 126 + 258 = 3*r. Suppose t = 16 + r. What is the tens digit of t? 4 Suppose -4*v = m - 40 + 13, -2*v = 2*m - 24. Suppose 0 = 3*q - 2*t - 694, 9*q - 3*t = 4*q + 1158. Suppose -k + m*k = q. What is the tens digit of k? 3 Let j(g) = 2*g - 14. Let r be j(15). Suppose -15 - 39 = -3*w. What is the units digit of w/12*r/3? 8 Suppose 24 - 8 = 4*u. Suppose o - 27 = u*o. What is the units digit of (-3)/9 + (-165)/o? 8 Suppose w = 5*w - 48. Suppose -w + 42 = 6*c. What is the units digit of c? 5 Let b(w) = -20 - 7 - 3*w - 1 - 2*w. What is the tens digit of b(-17)? 5 Let s = -42 - -66. What is the tens digit of 1 - 6/(s/(-500))? 2 Let y = -102 - -475. What is the hundreds digit of y? 3 Let d = 15 + -10. Let w(o) = o**2 - 6*o - 1. Let v be w(d). What is the tens digit of ((-3)/(-2))/(v/(-224))? 5 Let a(m) be the first derivative of -4 + 1/3*m**3 - 5*m + 7/2*m**2. What is the units digit of a(4)? 9 Suppose 30*o - 27*o - 1380 = 0. What is the tens digit of o? 6 Suppose -3*s + 2*g = -0*g + 795, s - 2*g + 261 = 0. Let r = 451 + s. Suppose -6*j - r = -5*q - 2*j, j - 179 = -5*q. What is the tens digit of q? 3 Let l = 336 + -64. Suppose 3*p - l = p. Suppose p = 3*v + v. What is the tens digit of v? 3 Let k = 763 - -3745. What is the units digit of k? 8 Suppose 43*c - 15078 - 26460 = 0. What is the units digit of c? 6 Let z(u) = u**2 - 6*u - 5. Let f be z(7). Suppose l - 4 = -f. Suppose 3*p = 4*p - 5, l*s - p = 15. What is the units digit of s? 0 What is the tens digit of (-2)/11 + (-25272)/(-88)? 8 Let q = -1341 + 2130. What is the units digit of q? 9 Let m(d) = -d**2 - 4*d + 2. Let k be m(2). Let r = k + 16. What is the units digit of r? 6 Let b(f) = 1147*f**2 - 2*f - 2. What is the units digit of b(-1)? 7 What is the hundreds digit of (128/(-5))/(7/105*-3)? 1 Let o(w) = 16*w + 3. Let q be o(1). Suppose 3 + q = l. What is the tens digit of l? 2 Let o(f) = 6*f**3 + 2*f**2 + f. Let z be o(-1). Let v be (-312)/(-20) + 3/z. Suppose -4*t - 40 = -j, 0*t = -2*j - 5*t + v. What is the units digit of j? 0 Let t(w) = w**2 + 2*w - 3. Let f be t(-4). Suppose o - f + 3 = 0. Suppose -4*r = 3*m - 40, 4*m - 3 = -o*r + 27. What is the units digit of r? 7 Let g(i) = 2*i - 8. Let t be g(5). Suppose 166 = 4*y - 2*l, -136 = -2*y - t*y - 4*l. What is the tens digit of y? 3 Let w(g) = 69*g**2 + 17*g - 2. What is the tens digit of w(-3)? 6 What is the units digit of ((8/2)/(-2))/((-2)/21)? 1 Let a(c) = -3*c + 3. Let x be a(4). Let y be 1*(x*6)/(-2). Suppose -r + y = -0. What is the units digit of r? 7 Let c = 387 - -145. What is the units digit of c? 2 Let w be (-1658)/14 + 6/14. Let o = w + 77. Let u = o - -71. What is the tens digit of u? 3 Suppose 0 = -2*n + 3*n + 7. Let z = n + 7. Suppose 5*k - 25 - 15 = z. What is the units digit of k? 8 Let w(c) = c**2 + c - 1. Let f(t) = -6*t**2 + 7*t + 5. Let o(a) = -f(a) + 2*w(a). What is the tens digit of o(-4)? 4 Suppose 32 = -8*l + 352. What is the tens digit of l? 4 Let r(w) = -w**2 - 23*w + 69. What is the tens digit of r(-20)? 2 Suppose g - 28 = -4*b, b = 3*g - 0*b - 58. What is the tens
{ "pile_set_name": "DM Mathematics" }
s = 4*f - 5*o. Does 13 divide 0 + -1 - (-26 - f)? True Let o = -22 + 23. Let x = 10 - o. Is x a multiple of 4? False Let l = -21 + 56. Does 35 divide l? True Suppose -j + 92 = -22. Suppose 0 = 4*d - 70 - j. Suppose r - d = -17. Is r a multiple of 17? False Suppose 5*h - 3 = 4*h. Is h even? False Let d(t) = -t**2 + 10*t - 7. Let u be d(9). Suppose u*m + 0*m - 14 = -2*w, -3*w + 2*m + 46 = 0. Is w a multiple of 6? True Let r = -1 - -24. Does 2 divide r? False Let z = 2 + 2. Suppose -5*v + 6 + z = 0. Is v a multiple of 2? True Suppose 0 = k - 15 + 5. Is k a multiple of 5? True Suppose 67 = 5*y - 5*b - 58, -2*b = -y + 22. Is y a multiple of 10? False Suppose -3*v + 65 = -16. Does 27 divide v? True Let b(g) = -g + 3. Let c be b(6). Is -3*((-3 - 0) + c) a multiple of 8? False Suppose 2*l + 6 = 5*l, -5*y + 277 = -4*l. Suppose -y = -2*n + 1. Is 21 a factor of n? False Let m(j) = -1 - 2*j + 1. Let g = -6 - 0. Is m(g) a multiple of 6? True Suppose 0 = 3*c + 3*k + 15, -5*c = -c + 2*k + 10. Let p = 2 - c. Suppose 5*b + 78 = 4*q + 19, 10 = p*b. Is 14 a factor of q? False Let y = 133 + -94. Is y a multiple of 13? True Let j = -3 - -51. Is 8 a factor of j? True Let y(f) = f - 7. Let p be y(5). Let s be (-1)/(1/10*p). Suppose -35 + 175 = s*c. Is c a multiple of 10? False Let h(g) = -g**3 - 5*g**2 - 6*g - 1. Suppose 2*q = 5*m - 18, 5*m - 2 = 8. Is 7 a factor of h(q)? True Let y = 119 + -49. Suppose 5*j - y = 30. Does 20 divide j? True Suppose 2*m + 2*g = m + 13, 2*m = 4*g + 34. Let c = -7 + m. Suppose c = p - 3. Does 9 divide p? False Suppose 4*u - 251 = 305. Is 30 a factor of u? False Let l = -7 + 11. Suppose 4*m = l*d - 112, 0*m = -d - 2*m + 40. Is 8 a factor of d? True Suppose 5*v - 305 = -5*c + 105, -v - 4*c = -82. Suppose v = 3*t + 16. Does 16 divide t? False Suppose -13 = -u + 9. Suppose u = 4*s - 34. Is 7 a factor of s? True Let y be 15*-1*5/(-3). Suppose y + 23 = 3*v. Let h = v + -9. Does 7 divide h? True Suppose 39 + 12 = -3*j. Let v = 50 + j. Is 11 a factor of v? True Let b(f) = f + 2. Let m be b(2). Suppose -24 = -m*i + i. Does 4 divide i? True Let z(u) = u**2 + 2*u + 2*u**2 - 10*u - 4*u**2. Is z(-7) a multiple of 5? False Suppose 4*a - 34 = 42. Is a a multiple of 18? False Let w(q) = -1. Suppose 3 = t + f, 0 = -3*t + 3*f - 0 - 15. Let z(x) = -7*x + 3. Let i(r) = t*z(r) - 4*w(r). Is i(5) a multiple of 18? True Let d = 23 + -14. Does 5 divide d? False Let j = -385 - -252. Does 11 divide j/(-3) - (-4)/6? False Let n = 70 - 14. Does 8 divide n? True Let m(o) = o**3 + 6*o**2 + 4*o. Let n = 11 - 16. Let s be m(n). Suppose -3*j = -4*z - 53, 3*z = s*j - j - 73. Is 7 a factor of j? False Let c(d) = d**3 + 3*d - 2. Let q be c(2). Let h be 8/6 - 4/q. Does 3 divide 18/((-3)/(-1))*h? True Let h(d) = -2*d**3 - 6*d**2. Let p be 1/((-2)/52*2). Let j = 9 + p. Does 16 divide h(j)? True Let z(i) = i**3 + 4*i**2 + 4*i + 3. Suppose -o - 4*o - 15 = 0. Let t be z(o). Is 12 a factor of (3 + t)*(-52)/(-6)? False Let f(z) = -z**3 + 2. Suppose 4*v - j + 2 = -2, 0 = -3*v - 5*j + 20. Let p be f(v). Suppose -8 + p = -h. Does 3 divide h? True Let u(a) = -2*a + 17. Let m be u(7). Suppose 6*p - m*p - 30 = 0. Is 10 a factor of p? True Suppose -4*o + 27 = -3*d, d + 4 = 4*o - 5. Let x = d - -15. Is x a multiple of 6? True Let a(c) = -26*c**3 + 1. Is 16 a factor of a(-1)? False Suppose -6*c = -c - 55. Is 11 a factor of c? True Let p(x) = -x**3 - 5*x**2 + 7*x - 10. Is p(-8) a multiple of 21? True Let o(j) = -j**3 + 9*j**2 + 9*j + 10. Let h be o(10). Does 9 divide 3/3 + (h - -21)? False Let h be (3/6)/((-3)/42). Let u = 9 + h. Suppose 3*b = u*b + 30. Is b a multiple of 8? False Is 10 a factor of 2 - (-21 - (0 - -2))? False Let i(q) = q**3 + 4*q**2 + 4*q + 3. Let n be i(-3). Suppose n = -3*f - 41 + 110. Does 9 divide f? False Suppose 0 = -3*c - c. Suppose r = -3*l + 56 + 65, c = -2*l - r + 79. Is l a multiple of 19? False Suppose 0 = -94*o + 93*o + 16. Does 4 divide o? True Let j be (-3)/(-9) - (-62)/(-6). Let p = j + 13. Is p a multiple of 2? False Let a(c) = 46*c**2 + 2*c + 2. Let r(y) = y**2 + y + 1. Let q(x) = a(x) - r(x). Let o be (-4)/18 + (-14)/18. Is q(o) a multiple of 21? False Let p be (-1)/(5/2)*-15. Let g = p - 0. Suppose 2*y + 0 = g, -5*y + 27 = 4*j. Is j a multiple of 3? True Let u(g) = 2*g**3 - 2*g**2 - 3*g + 2. Let b be u(2). Suppose -2*q - 25 = -149. Suppose -b*f - 18 = -q. Is f a multiple of 4? False Suppose 0 = 3*l + 5*r + 21, 4*l + r + 4 + 24 = 0. Let a = -194 - -201. Does 9 divide (-2 + (-32)/l)*a? True Suppose -2*s + 5*f + 4 = 0, 2*f = -2*f. Suppose 18 = s*h - 8. Does 3 divide h? False Let m(k) = -4 + 2*k**2 + 6*k - 2 - 4. Is 13 a factor of m(-6)? True Let t = 11 - 19. Suppose a + 4*c + 2 = 0, -5*c - 36 = -a + 7. Let u = t + a. Does 6 divide u? False Let j(l) = 44*l**2. Does 9 divide j(-1)? False Does 13 divide (-8 - -4 - -6) + 58? False Let z = 68 + -42. Does 26 divide z? True Let i(h) = -h**2 - 2*h + 3. Let r be i(-3). Let t be 8 - (0 - (2 + -1)). Suppose r = -5*q + b + 171, t*b - 4*b = -5. Does 15 divide q? False Let q = 10 - -3. Does 2 divide q? False Let u be (-18)/(-4) - (-6)/(-12). Suppose -u = 4*n + 4*s - 56, 3*s = -5*n + 59. Is 10 a factor of n? True Suppose -5*g + 0 + 35 = -4*s, 0 = -5*g - 5*s + 35. Does 3 divide g? False Suppose -m = -3 - 1. Is m a multiple of 2? True Let m(n) be the first derivative of -n**7/280 - n**6/120 - n**5/30 - n**4/12 - 2*n**3/3 - 2. Let u(i) be the third derivative of m(i). Is 15 a factor of u(-2)? False Let d(j) = j**3 + 7*j**2 + 6*j - 5. Let u be d(-6). Let x = u - -12. Is 4 a factor of x? False Let d = -2 - -12. Suppose 2*s - d = 2*w - 2*s, 2*w + 2*s = 14. Is w a multiple of 3? True Suppose -4*g + 134 = 22. Is 27 a factor of 749/g - (-1)/4? True Let d = 0 + -3. Let b be 6/((-3)/(d*1)). Suppose -t + 39 = 5*g, -5*g + g + b = -t. Is t a multiple of 7? True Suppose -10 - 2 = -3*k. Is 2 a factor of k? True Suppose 3*i + 8 = 56. Is i + 0/3 + -2 a multiple of 7? True Suppose -g + 11 - 2 = 0. Does 9 divide g? True Suppose -m - 4*m = -30. Does 3 divide m? True Is 10 a factor of 19/((-10)/(-15)*(-9)/(-30))? False Suppose 0 = 4*t - 0*t - 20, -4*n + 7 = -t. Suppose n*k - 6 = -3. Is (k/(-5) + 1)*20 a multiple of 15? False Let a(b) = -b**2 - 26*b + 40. Does 22 divide a(-24)? True Suppose -3*l + 13 + 107 = 3*g, g - 84 = -2*l. Does 22 divide l? True Suppose 5*z + 7 = 27. Suppose z*o - 4 - 72 = 0. Is o a multiple of 4? False Let o(n) = 5*n + 13. Is 9 a factor of o(10)? True Is (6/(-4))/((-4)/24) a multiple of 3? True Suppose -2*i = -i. Suppose i = s - 4 - 7. Is s a multiple of 10? False Suppose 2*g - 7*g + 540 = 0. Is 27 a factor of g? True Let n(w) = -w**3 - 3*w**2 - 5*w - 4. Does 18 divide n(-4)? False Let z = 5 + -4. Let g be -3*-5*z/3. Suppose l - 1 = g. Is 4 a factor of l? False Let t = -17 + 5. Let o(d) = -d**2 - 13*d + 15. Is o(t) a multiple of 27? True Is 17 a factor of (9/12)/(3/72)? False Suppose -4*s = -s - 2*n - 47, -s = n - 9. Suppose 10 = -2*v, -2*a + 12 + s = 5*v. Is 9 a factor of a? False Suppose -w - 1 - 6 = 0. Let x(y) = -y. Let i be x(w). Suppose -i*d = -3*d - 5*l - 66, -3*l = 6. Is d a multiple of 7? True Suppose 0 = -0*j - 3*j + 2*d + 232, d = -5*j + 365. Is 34 a factor of j? False Suppose 3*m - 521 - 557 = -5*t, -1418 = -4*m + 3*t. Is 49 a factor of m? False Suppose 5*o + 3 = 2*w + 17, -4*o + 4 = 2*w. Suppose -u + 3*u + o = 0. Is u + 2 + (1 - -1) a multiple of 3? True Let n(z) = 4*z**3 + 10*z**2 + z - 2. Let u(r) = -5*r**3 - 11*r**2 + 3. Let b(o) = 4*n(o) + 3*u(o). Let i be ((-1)/2)/(2/24). Is 13 a factor of b(i)? True Let k(d) = -12*d**2 + 3*d**2 + 8*d**2 - 6*d + 4. Let m be k(-6). Suppose 3*l - 29 = -3*b + 16, m*l = 0. Does 15 divide b? True Suppose -2*f + 7*f - 20 = 0. Suppose -f*n + 93 = -27. Does 16 divide n + 1 + (-3)/(-3)? True Let a(x) = 25*x - 3. Let s(t) = -t + 1. Let k(h) = -a(h) - 6*s(h). Let l be k(-2). Suppose -6*u + u = -l. Is 7 a factor of u? True Let a(c) = c**2 - 3. Let b = -16 - -19. Is a(b) even? True Suppose h + 3 = 0, s + 3*h - 7 = -s. Does 19 divide (-190)/4*s/(-10)? True Suppose 608 = 2*h + 2*h. Does 32 divide h? False Suppose -5*v + 6 = 26. Is (-38)/v + (-2)/(-4) a multiple of 7? False Let q be 1/2*-2*-2. Suppose -3 = -q*m + 1. Let i = m - -10. Is 7 a factor of i? False Let o(t) = t**2 - t -
{ "pile_set_name": "DM Mathematics" }
(b - 3)*(5*b - 1)**2/3 Factor -6*w**3 - 9*w**3 + 14*w**3. -w**3 Let v be (-28)/(-21)*(-2)/(-8). Let -2/3*j**2 - v*j + 1/3 = 0. Calculate j. -1, 1/2 Let p = 104/209 - 6/19. Factor -2/11*v**3 + p*v - 2/11*v**2 + 2/11. -2*(v - 1)*(v + 1)**2/11 Let k(w) be the second derivative of 0 - 4/27*w**3 + 1/3*w**2 - 7*w + 1/54*w**4. Let k(y) = 0. What is y? 1, 3 Factor -1/5*p**3 - 7/5 + 13/5*p - p**2. -(p - 1)**2*(p + 7)/5 Let c = 180 + -175. Let y(x) be the second derivative of -1/6*x**2 + 0 - 1/6*x**3 - 3*x - 1/12*x**4 - 1/60*x**c. Suppose y(q) = 0. What is q? -1 Let a be -3 + -1 - ((-19)/5 - 1). Suppose 1/5*h**3 + 0 - a*h**2 + 3/5*h = 0. Calculate h. 0, 1, 3 Let b(n) be the second derivative of n**5/30 + n**4/9 + 7*n. Find d such that b(d) = 0. -2, 0 Factor 2/11*p**4 + 0 + 6/11*p + 2/11*p**3 - 10/11*p**2. 2*p*(p - 1)**2*(p + 3)/11 Let p(q) be the third derivative of -3*q**2 + 0 + 0*q + 1/30*q**5 - 1/4*q**4 + 2/3*q**3. Solve p(b) = 0 for b. 1, 2 Let f = -12 + 17. Let x be ((-2)/20)/(f/(-60)). What is n in -4/5*n**3 - 2/5 + 6/5*n**4 - 2/5*n**5 - 4/5*n**2 + x*n = 0? -1, 1 Let q(d) be the first derivative of -4 + 2*d + 1/4*d**4 - 1/2*d**3 - d**2 + 1/10*d**5. Factor q(x). (x - 1)**2*(x + 2)**2/2 Let c(p) be the second derivative of -1/10*p**5 + 0*p**3 + 0 + 0*p**2 + 5*p + 1/6*p**4. Factor c(j). -2*j**2*(j - 1) Let m(p) = p**2 + 18*p - 36. Let h be m(-20). Let v(u) be the first derivative of 1/9*u**2 + 2 - 2/45*u**5 + 0*u - 2/9*u**3 + 1/6*u**h. Factor v(f). -2*f*(f - 1)**3/9 Suppose -3*v + 8 = -2*z, z - 6 = -3*v - 1. Let h(i) be the first derivative of -1/3*i**6 - 2*i + i**4 - v + 4/3*i**3 - i**2 - 2/5*i**5. Factor h(g). -2*(g - 1)**2*(g + 1)**3 Factor 0 - 5*g - 1/2*g**2. -g*(g + 10)/2 Let m = -37 + 40. Let g be m/(-6)*(-72)/16. What is d in -g*d**2 - 5*d - 1 = 0? -2, -2/9 Let b(k) = k**2 - 10*k + 18. Let c be b(8). Factor -1/3*j**c + 1/3*j + 0. -j*(j - 1)/3 Let k(n) be the first derivative of -1/12*n**4 + 3 - 2/3*n + 2/9*n**3 + 1/6*n**2. Factor k(h). -(h - 2)*(h - 1)*(h + 1)/3 Let t = 8 + -6. Suppose -4*q = -4*u - 24, 5*u + 28 = 4*q - 0*q. What is z in 1 + 2*z**q - 3*z**t + 0 = 0? -1, 1 Let v(r) be the second derivative of r**4/36 - 2*r**3/9 + 2*r**2/3 - 3*r. Factor v(l). (l - 2)**2/3 Suppose -7/2*i**4 + 0*i - 2*i**2 + 0 + 8*i**3 = 0. Calculate i. 0, 2/7, 2 Factor -5/2*v - 1/2*v**4 + 1/2*v**3 + 3/2*v**2 + 1. -(v - 1)**3*(v + 2)/2 Let u(r) be the second derivative of 11*r**5/4 - 5*r**4/6 + 7*r. Let u(m) = 0. Calculate m. 0, 2/11 Let f = 13 + -18. Let l be (f - -6) + 3/1. Find t such that 0*t**2 + 0 + 16/3*t**l + 4*t**3 - 2/3*t + 2*t**5 = 0. -1, 0, 1/3 Let f(a) be the third derivative of -a**6/240 + a**5/60 - a**4/48 - 3*a**2. What is y in f(y) = 0? 0, 1 Let f(a) = -a**2 - 1. Let o(i) be the first derivative of -1/2*i**2 + 5/3*i**3 - 1 + 2*i. Let w(j) = -4*f(j) - o(j). Factor w(l). -(l - 2)*(l + 1) Suppose -3 = -t - 1. Find s such that -2*s - 3*s**2 - 2*s**3 - 2*s**t + 4*s**3 - 3*s**2 + 8*s**4 = 0. -1, -1/4, 0, 1 Let l(s) be the first derivative of -1/3*s**2 + 2/9*s**3 + 0*s - 4. Let l(o) = 0. What is o? 0, 1 Let r(n) be the third derivative of n**6/600 + n**5/100 - 3*n**4/40 + 7*n**3/6 - 5*n**2. Let l(h) be the first derivative of r(h). Determine i so that l(i) = 0. -3, 1 Let v(a) = a**2 - 8*a + 18. Let o be v(4). Factor 0*j - 2/11 + 2/11*j**o. 2*(j - 1)*(j + 1)/11 Let f(n) be the second derivative of 2*n**6/5 + 7*n**5/5 - 19*n**4/3 + 10*n**3/3 + 8*n**2 - 12*n - 1. Factor f(p). 4*(p - 1)**2*(p + 4)*(3*p + 1) Let h(s) = 7*s**3 - 15*s**2 + 19*s - 1. Let l(n) = -4*n**3 + 8*n**2 - 10*n. Let b(j) = -3*h(j) - 5*l(j). Let b(f) = 0. What is f? 1, 3 Let v(n) be the third derivative of 3*n**2 - 1/21*n**3 + 0 - 1/42*n**4 - 1/210*n**5 + 0*n. Factor v(c). -2*(c + 1)**2/7 Let k(u) be the first derivative of -5/14*u**4 - 9 + 2/35*u**5 + 6/7*u**3 - u**2 + 4/7*u. Suppose k(a) = 0. What is a? 1, 2 Solve -18/5*r**2 - 2/5*r + 0 = 0 for r. -1/9, 0 Let k(p) = p**3 + 4*p**2 + 5*p + 8. Let j be k(-3). Let g(x) be the second derivative of x + 5/24*x**3 - 1/12*x**4 + 0 + 1/80*x**5 - 1/4*x**j. Factor g(w). (w - 2)*(w - 1)**2/4 Let w(x) be the second derivative of x**7/336 - x**6/80 + x**4/24 + 15*x. Factor w(b). b**2*(b - 2)**2*(b + 1)/8 Suppose 2*i + 10 = -5*l - 3*i, 0 = -l + 3*i + 18. Suppose 0 = -s + l*s - 4. Factor 0 - 4/9*j**s + 2/9*j**3 + 2/9*j. 2*j*(j - 1)**2/9 Let q(z) be the third derivative of -2*z**7/105 - z**6/15 + z**5/5 + 2*z**4/3 - 8*z**3/3 - 13*z**2. Factor q(j). -4*(j - 1)**2*(j + 2)**2 Let c(z) be the first derivative of -2/15*z**3 + 1 + 0*z + 0*z**2. Factor c(l). -2*l**2/5 Let c = -9 + 12. Let y(s) be the first derivative of 1/2*s**2 + 2 + 0*s - 1/6*s**c. Factor y(g). -g*(g - 2)/2 Let z(i) be the second derivative of i**7/84 - i**6/30 + i**4/12 - i**3/12 - 8*i. Factor z(h). h*(h - 1)**3*(h + 1)/2 Let n(l) be the second derivative of -7*l**4/96 - 23*l**3/48 - 3*l**2/8 + 40*l. What is x in n(x) = 0? -3, -2/7 What is m in 0*m + 1/3*m**4 + 0*m**3 + 0 - 1/3*m**2 = 0? -1, 0, 1 Factor -30/7*g**2 - 4/21 + 82/21*g**3 - 26/21*g**4 + 38/21*g. -2*(g - 1)**3*(13*g - 2)/21 Let g(h) = -2*h - 95. Let d be g(-49). Factor -4*i**2 + 0 + 13/3*i**d + 1/3*i**5 - 2*i**4 + 4/3*i. i*(i - 2)**2*(i - 1)**2/3 Let k be (1 - 2 - 2) + 5. Let q be (-9)/(-24) + 5/40. Determine h so that q*h**k + 1/2*h - 1 = 0. -2, 1 Suppose 15/4*j - 15/4*j**3 + 3/2*j**4 - 3/2 + 0*j**2 = 0. What is j? -1, 1/2, 1, 2 Factor 7*m**2 - 207*m - 6*m**4 + 40*m**3 - 24*m**2 - 15*m**4 + 205*m. -m*(m - 1)**2*(21*m + 2) Let z(y) be the first derivative of -y**5/20 - y**4/16 + y**3/6 + 6. Factor z(q). -q**2*(q - 1)*(q + 2)/4 Let a(j) = 5*j**4 - 53*j**3 + 242*j**2 - 194*j - 2. Let c(d) = 16*d**4 - 160*d**3 + 727*d**2 - 583*d - 7. Let x(q) = -7*a(q) + 2*c(q). Factor x(m). -3*m*(m - 8)**2*(m - 1) Let h(i) be the second derivative of -1/6*i**2 + 0 + 2*i + 1/9*i**3 - 1/36*i**4. Factor h(v). -(v - 1)**2/3 Let z(s) be the second derivative of -s**7/2940 + s**6/1260 - s**3 + 6*s. Let p(h) be the second derivative of z(h). Factor p(x). -2*x**2*(x - 1)/7 Let x(s) be the second derivative of s**5/70 + s**4/6 - 56*s. Factor x(p). 2*p**2*(p + 7)/7 Let t(a) be the third derivative of a**8/3360 + a**7/1260 + a**4/12 + 5*a**2. Let s(y) be the second derivative of t(y). Solve s(w) = 0. -1, 0 Let p be (-21)/54 + 3/(-18). Let f = p + 29/36. Suppose -3/4*u**3 + 3/4*u - 1/4*u**2 + f = 0. What is u? -1, -1/3, 1 Find w such that 0*w + 1/3*w**2 - 1/3 = 0. -1, 1 Let k(n) be the second derivative of n**6/75 - n**5/10 + 7*n**4/30 - n**3/5 - 20*n. Solve k(b) = 0 for b. 0, 1, 3 Factor -4/3*i**4 + 0 - 28/3*i**2 - 4*i - 20/3*i**3. -4*i*(i + 1)**2*(i + 3)/3 Let m = 1405/4 + -351. Find y, given that -1/4 + m*y + 1/4*y**2 - 1/4*y**3 = 0. -1, 1 Let j(i) be the third derivative of i**7/630 + i**6/360 - i**5/20 - i**4/8 - 3*i**2 - i. Factor j(h). h*(h - 3)*(h + 1)*(h + 3)/3 Let y(i) be the third derivative of i**5/450 + i**4/45 + 4*i**3/45 - 14*i**2. Determine q, given that y(q) = 0. -2 Let h(v) be the third derivative of v**7/1260 + 7*v**6/1800 + v**5/150 + 5*v**4/24 + 3*v**2. Let b(f) be the second derivative of h(f). Factor b(w). 2*(w + 1)*(5*w + 2)/5 Let l(p) be the first derivative of 5*p**3/9 + 5*p**2/2 + 10*p/3 + 13. Suppose l(n) = 0. Calculate n. -2, -1 Let 0*u**3 + 0*u + 0 + 0*u**2 - 3*u**4 - 15/2*u**5 = 0. Calculate u. -2/5, 0 Let c be 24/(-42) + 107/(-21). Let t = c + 6. Suppose -1/3*z**4 - 1/3 + 1/3*z**5 - 2/3*z**3 + 2/3*z**2 + t*z = 0. What is z? -1, 1 Let q(j) be the third derivative of -1/60*j**4 - 1/300*j**5 + 0*j + 0 - j**2 + 0*j**3. Factor q(b). -b*(b + 2)/5 Let t = -16 - 56. Let b be (-2)/7 - t/105. Determine w so that -2/5*w**4 + 4/5*w**2 - b - 2/5*w**5 - 2/5*w + 4/5*w**3 = 0. -1, 1 Let z(a) be the third derivative of -a**5/140 - a**4/28 + 3*a**3/14 - 54*a**2. Solve z(o) = 0. -3, 1 Solve 0 - 6*q**2 + q**3 + 0 + 9*q**2 + 2*q = 0 for q. -2, -1, 0 Let f = 1723638 - 201668228/117. Let w = 200/9 + f. Factor 2/13*h + 0 + 6/13*h**3 - w*h**4 - 6/13*h**2. -2*h*(h - 1)**3/13 Factor 6*h**2 + 583 - 585 - 4*h**2. 2*(h - 1)*(h + 1) Let h be (15/(-10))/(3/(-6)). Determine u so that -8/5*u**4 + 14/5*u**h - 4/5*u**2 + 0 - 2/5*u = 0. -1/4, 0, 1 Let z = -8 - -18. Let k be 12/(-20)*z/(-4). Factor -k*c**2 + 3/2*c**4 + 3/2*c + 0 - 3/2*c**3. 3*c*(c - 1)**2*(c + 1)
{ "pile_set_name": "DM Mathematics" }
arest one hundred. 100 Let x = 147.3 - 143.4. Let w = 1130401.1 - 1130405.0000021. Let c = w + x. What is c rounded to 6 dps? -0.000002 Suppose -35*d - 3773663212 = -24*d. Let r = d + 209560292. Round r to the nearest 1000000. -134000000 Let i = 244 + -110. Let w = i - 134.00287. Round w to four decimal places. -0.0029 Let j = 15766109 - 25630109. What is j rounded to the nearest 100000? -9900000 Let r = -38276.3 + 37823. Round r to the nearest 1000. 0 Let i = 31 + -43. Let k be ((-45)/i)/((-3)/(-16)). Let j be (-12)/k - 4460006/(-10). Round j to the nearest 10000. 450000 Let p = 249.29993029 + -249.3. Round p to five decimal places. -0.00007 Let x = 4402 - 4056.9. Round x to the nearest 10. 350 Suppose 3*j = -15, -7*c + 4266244 = -4*c - 5*j. Suppose -o - c + 5732073 = 0. What is o rounded to the nearest one hundred thousand? 4300000 Let r(s) = -3 + 2*s**2 - s**2 - 3*s - 3 - 4. Suppose x + x + 8 = d, 4*d + 18 = -2*x. Let w be r(x). What is w rounded to the nearest 10? 30 Let p(i) be the second derivative of i**4/12 + 25*i**3/6 - 17*i**2/2 - i + 4. Let t be p(-12). Round t to the nearest one hundred. -200 Let l = -46.957 - 0.043. Let t = 764208262 + -764208308.9999907. Let h = t - l. What is h rounded to 6 dps? 0.000009 Let m = -28987.43 - -29106. What is m rounded to the nearest integer? 119 Suppose 16*y - 13752383 + 3962767 = 0. Suppose 2*n = k + y + 501147, -2*n = 4*k + 4452002. Round k to the nearest 100000. -1100000 Let l = -0.09 + 0.11. Let w = 32.02 - l. Let y = w - 32.00000048. Round y to seven decimal places. -0.0000005 Let a = 7942 + -7941.649. Round a to 0 dps. 0 Let a = 0.0274 - -219.9726. Let f = -66282819873 - -66282819653.000000585. Let x = a + f. What is x rounded to seven dps? 0.0000006 Let f be (10 - 15)*(-341444)/10. Let u = 270719 - f. Suppose -2*l + 3*z + 49991 = 0, z = -0*l + 4*l - u. What is l rounded to the nearest ten thousand? 30000 Let l = -180 + 456. Let j = -276.0021 + l. Round j to four decimal places. -0.0021 Let i = 12188.29926 + -12188. Let d = 1980 + -1980.3. Let o = i + d. Round o to 4 decimal places. -0.0007 Let g = 258 - 390. Let s = g + 132.00743. What is s rounded to 3 decimal places? 0.007 Let a(f) = f + 3. Let o be a(-1). Let u(t) = -96*t**2 + 19*t - 35. Let l be u(o). What is l rounded to the nearest one hundred? -400 Let c = -1451548041.9804 - -1451827835. Let q = c - 279704. Let w = 89 - q. What is w rounded to three dps? -0.02 Let p = 24.43 - 23.2. Let d = p - -46.77. Let u = 47.99999896 - d. What is u rounded to seven dps? -0.000001 Let u = -2.42004278 - -2.4207. What is u rounded to four dps? 0.0007 Let k = 22.045 + 0.955. Let g = 8.9 - 24.3. Let d = g + k. Round d to the nearest integer. 8 Let u = 204286.68199935 + -204282.382. Let c = 84 - 88.3. Let h = u + c. Round h to seven decimal places. -0.0000007 Let i be (464999995 - (-3 - -5)) + 7. Suppose 36*f + i = 21*f. Round f to the nearest one million. -31000000 Let v = 189.085 - 0.085. Let f = v - 188.9999695. What is f rounded to six dps? 0.000031 Let q = 3792.35 - 3671. Let m = -121 + q. What is m rounded to the nearest ten? 0 Let g = 31.7812 + 82.4034. Let i = -114.3 + g. Round i to two decimal places. -0.12 Let c = 11297 + -11297.0011013. What is c rounded to six dps? -0.001101 Let f(i) = 415*i**2 - 85*i + 2530. Let d be f(52). What is d rounded to the nearest ten thousand? 1120000 Let w = -0.068 + -59.932. Let a = 62.28 + w. Let g = -2.27781 + a. What is g rounded to four decimal places? 0.0022 Let j = 12.076 - 14.7507. Let a = j - 0.7043. Let k = a + 3.52. What is k rounded to two decimal places? 0.14 Let f = -9719.939 - -9719.99999971. Let t = 0.061 - f. Round t to 7 decimal places. 0.0000003 Let k = -12975.0024822 + 12975. What is k rounded to three decimal places? -0.002 Let m = -0.04251 - -3809.04251. Let o = -3809.6393 + m. What is o rounded to 1 decimal place? -0.6 Let d = 6568 - 6567.999951152. Round d to six dps. 0.000049 Let a = -92 - -92. Suppose a*g = -2*g + 10. Suppose 0 = -g*u - v + 13254, 2*u - 5*v - 3958 = 1322. Round u to the nearest one thousand. 3000 Let h = -5537.60305 + 0.00305. Round h to the nearest one thousand. -6000 Let j = -2.9875 + -1.6881. Let y = 4.62 + j. What is y rounded to two decimal places? -0.06 Let b = -986 - -1534. Suppose -5*w = -25, -2*v + w = v + b. What is v rounded to the nearest ten? -180 Let h be ((-5754)/(-27)*3)/(26/(-429)). Round h to the nearest 100. -10500 Let t = -26.7828 + 25.99. Round t to one dp. -0.8 Suppose 0 = -6*w + 42 - 12. Suppose 1790 = g + 5*b, -w*g + 2*g = b - 5412. Let j be -1 + 1 - (4 - -1 - g). Round j to the nearest one thousand. 2000 Let t be (-685)/(-2)*80/50. Let h(w) = -t*w + 4 - 137*w + 4 - 137*w. Let j be h(4). Round j to the nearest 1000. -3000 Let q = 0.039383 - 0.03911951. Round q to five decimal places. 0.00026 Suppose 0 = -61*h - 127*h + 57*h + 960885. What is h rounded to the nearest 1000? 7000 Let n = 2.83 - -5.162. Let q = -0.192 + n. What is q rounded to 1 dp? 7.8 Let u = -1217724 + 1217723.470069. Let k = 203.5 + -202.97. Let w = k + u. Round w to five decimal places. 0.00007 Let n = 2555 - 1733. Suppose 273 - n = -j. What is j rounded to the nearest 10? 550 Let h(u) = -950*u - 9268*u - 539*u - 75. Let z be h(25). Round z to the nearest ten thousand. -270000 Let x = 2560 - 2559.9315. Round x to two dps. 0.07 Let z be (-51039 - 13/(65/(-10))) + -3. What is z rounded to the nearest ten thousand? -50000 Let m = 946 + -1665. Let g = m - -719.000001143. Round g to seven dps. 0.0000011 Let o be ((-6)/2 - 10)*(-2)/(-2). Let w(m) = -4*m**2 - 49*m - 48. Let q be w(o). Round q to the nearest one hundred. -100 Let b be ((-12)/(-16))/((-1)/(-38172)). Let n be 67313/(-4) - ((-9)/(-12) + 0). Let m = n + b. Round m to the nearest 1000. 12000 Let x = -0.095 - 13.685. Let o = x + -79.52. Round o to the nearest ten. -90 Let r be (27751*(-1)/3)/(51/(-153)). Suppose 2*h + 6 = 5*h. Suppose r = h*a - 34449. Round a to the nearest 10000. 30000 Let v = 10.608 + -0.258. Let r = 12 - v. Let x = -1.64999215 + r. Round x to 6 decimal places. 0.000008 Let m = 136 - 132. Suppose -984200 = m*l + 3*l. Round l to the nearest 10000. -140000 Let r(i) = -4454409*i - 3133. Let d be r(-37). Round d to the nearest 1000000. 165000000 Suppose 0 = 75*j - 69*j + 12. Let b(l) = -65*l + 10. Let p be b(j). What is p rounded to the nearest one hundred? 100 Let b(d) = -2048172*d**3 + 4*d**2 - 22*d + 32. Let m be b(4). Round m to the nearest 1000000. -131000000 Let c = -1638.6884 - -1640. Let i = c - -0.0304. Round i to one decimal place. 1.3 Let i = 2.2 + 116.8. Let o = 124.6507288 - 5.6506778. Let f = o - i. What is f rounded to 5 decimal places? 0.00005 Let x be -133075*(4/(-7))/(-2 + (-27)/(-21)). What is x rounded to the nearest ten thousand? -110000 Let k = -870.100577 + 870.06. Round k to 3 decimal places. -0.041 Let z = 425 + -424.077. Let u = -0.89677 + z. Round u to three dps. 0.026 Let q(i) = 131*i + 2. Let d be q(9). Let v = d - 704. What is v rounded to the nearest ten? 480 Suppose -1617422 = -26*p + 138990578. What is p rounded to the nearest 100000? 5400000 Let g be 0/(16/(-4))*(-1)/(-3). Let y be (g - -4) + -5 + 28/4. Suppose -y*t + 168 = -0*t. What is t rounded to the nearest ten? 30 Let z = -21 - -25. Suppose 0 = 5*b + 4*q - 7238, -5*b + z*q + 1462 = -4*b. What is b rounded to the nearest one hundred? 1500 Let a = -3322.66692 + 3323. What is a rounded to two dps? 0.33 Let j = 61 + -48. Let x = 13.0011 - j. Let h = x + -0.004. What is h rounded to 4 dps? -0.0029 Let a = -90 + 94. Suppose 5*o = -3*d + 12, 11 = a*d - 4*o - 5. Suppose 3*w = -d*c + 3500, 0*w + 3*c - 3495 = -3*w. What is w rounded to the nearest 100? 1200 Let u = 0.201 + -23.201. Let o = -22.29 - u. Round o to 1 decimal place. 0.7 Let f = 2223.1 + -2322. Let h = 11.9 + f. Let m = h + 86.999931. Round m to five dps. -0.00007 Let t = 552.9128 - 553. Let x = t + -75.2128. What is x rounded to the nearest 10? -80 Let j = 46.7902 + 0.0098. Let s = j - -48.4. Round s to the nearest integer. 95 Let s = 1127 + -916. Suppose -941920 = -197*z + s*z. What is z rounded to the nearest 1000? -67000 Let i = -1.318 - 11.52. What is i rounded to one dp? -12.8 Suppose -388 = -20*n - 148. Suppose 499822 + 92169 = -2*i + 3*u, 4*u = -n. What is
{ "pile_set_name": "DM Mathematics" }
. 2*t**5 - 3*t Expand (-8 + 6*k + 8)*(-1 + 1 + 2*k)*(3 - 2 - 3). -24*k**2 Expand (-361 + 6*m + 361)*(-4*m - m**2 + 4*m + (2*m + 4 - 4)*(-m + m + m) + 2*m**2 + 4 - 4)*(-2 - 2 + 5). 18*m**3 Expand (12 - 5 + 17)*(2*o + 1 - 1). 48*o Expand -2*c**3 + 5*c**3 - c**3 + (c**2 + c**2 + c**2)*(-2*c + 3*c + c). 8*c**3 Expand (-3*j**2 + 0*j**2 - j**2)*(0 + 1 + 1)*(4*j**3 + 0*j**3 + j**3). -40*j**5 Expand 3*l**5 - 2*l**5 + l**5 + 2*l**5 + l**5 - 8*l**5 + (-2*l + 2*l + l**2)*(l**3 + 0*l**3 - 3*l**3) - l**3 + 3*l**5 + l**3. -2*l**5 Expand -5*p**4 + 11*p**4 - 11*p**4 + p + (-2*p**2 - p**2 + 4*p**2)*(-p**2 + 2*p - 2*p) - 2*p + 2*p + p**4. -5*p**4 + p Expand (-2 + 1 - 4)*(-1 - 1 - 1)*(-2*c**2 + c**2 + 3*c**2). 30*c**2 Expand 0*i**2 - 4*i**2 + 2*i**2 + (5 + 2*i - 5)*(24 - 5*i - 24). -12*i**2 Expand (2*d + 2*d - 2*d)*(d - d - d) + (-21*d + 11*d + 16*d)*(0*d + d + 0*d) + 1 - 2*d**2 - 1. 2*d**2 Expand (5*g**3 + 0*g**3 - 3*g**3)*(0*g**2 - 2*g**2 + 0*g**2) + 2*g**5 + 2*g**5 - 5*g**5 + 205*g**5 - 114*g**5 - 115*g**5. -29*g**5 Expand (-9*b - 1 + 6*b + 10*b)*(1 + b**4 - 1). 7*b**5 - b**4 Expand (9*g + 4*g - 12*g + 2)*(1 - 1 + 2). 2*g + 4 Expand (-7*t + 7*t - t**2)*(3*t**2 + 2*t**2 + 0*t**2) + 0*t**2 - 3*t**4 + 0*t**2 + 6*t**4 - 3*t**4 - t**4. -6*t**4 Expand 4*i + i**5 - i**3 + 0*i**3 - 3*i + (2*i - 6*i + 2*i)*(-6*i**4 + 2*i**4 + 3*i**4) - 5 + 5 - i**5 - 13*i - 10*i**5 + 13*i. -8*i**5 - i**3 + i Expand (-8 + 6 + 3)*(1 - 3 + 3)*(37 - 37 - 8*o)*(2*o**2 - 2*o**2 + 2*o**4). -16*o**5 Expand (-7*k**3 - 7*k**3 + 10*k**3 - 2*k**4)*(-3*k + 4*k - 4*k). 6*k**5 + 12*k**4 Expand (-3*c + 0*c + 2*c)*(1 + 2*c - 1) + 2 - c**2 - 2 + 2*c**2 - 2*c**2 + 2*c**2. -c**2 Expand (-3 + 0 + 2)*(8*x + x - 2*x)*(0 - 2 + 0)*(1 - 2*x - 1). -28*x**2 Expand (-2*g**4 - 3*g**4 + 3*g**4)*(-4*g - g + 3*g + (g + 5*g - 3*g)*(0 + 2 - 3)). 10*g**5 Expand (19*g - 4*g + 2*g)*(-g**3 + 2*g**3 + 0*g**3). 17*g**4 Expand (2*g + 4 - 3 + 0)*(-2 - 11*g + 0 + 8*g). -6*g**2 - 7*g - 2 Expand ((13 - 11 + 15)*(-1 + 1 + 2*o) + 4*o - 2*o - 4*o)*(o - o + 2*o**3). 64*o**4 Expand 5*g**2 - g**2 + g**2 + (-3*g - 2*g + 7*g)*(2*g + g + 0*g) + 1 + g**2 - 1. 12*g**2 Expand -z**3 + 1 - 1 + (-5 + 5 - 2*z**3)*(4 - 2 - 1) + (-z + z**2 + z)*(9 - 9 - z). -4*z**3 Expand (-3*h + h + 4*h)*(12*h**3 - 31*h + 31*h). 24*h**4 Expand (v**4 + 4*v**4 - 2*v**4)*(-1 - 2 + 2)*(v - 2*v + 3*v). -6*v**5 Expand (-2*m + 5*m - 4*m)*(2*m**3 - 2*m**3 + 2*m**3) - 42*m**2 - 2*m**4 + 42*m**2. -4*m**4 Expand (4 - 2 + 2)*(0*c + c + 2*c)*(0*c**3 - 2*c**3 + c**3). -12*c**4 Expand (-1 - 2 + 4)*(-2 + 7 + 2)*(2*a**4 - 2*a**4 + a**4). 7*a**4 Expand 2*t - 3*t**3 - 2*t + (-4*t**2 - 3*t**2 + 4*t**2)*(7*t - t + t). -24*t**3 Expand 4*i**5 - 4*i**3 + 4*i**3 + (-i**2 + 3*i**2 + 0*i**2)*(-3*i**3 + i**3 + 3*i**3). 6*i**5 Expand -2*f**2 - 3 + 3 + (5 - 2 - 1)*(2 - 2 + 2*f**2)*(-8 - 1 + 0). -38*f**2 Expand 4*h - 3*h + 5*h + 0*h - 3*h + 4*h + (-h - h + 4*h)*(-2 + 3 - 3) - 3 + 3 + h - 4*h + h + 4*h. 5*h Expand -x**4 + 2*x + 0*x**3 + 0*x**3 - 5*x**4 - 11*x**4 + 5*x**4 + (-4 + 1 + 2)*(-x**4 + 5*x**4 - 2*x**4). -14*x**4 + 2*x Expand (-1 - 2*r + 1)*(-6 + 4 + 4)*(-4 + 4 - r)*(4 - 4 - 3). -12*r**2 Expand -2*o + o - o + (-53 - 42 + 42)*(2*o - 6*o + 2*o). 104*o Expand ((0 + 1 + 1)*(-2*r + 5*r - 2*r) + 2*r - 4*r + 4*r)*(-2*r + 2*r - 2*r). -8*r**2 Expand (-2 + 0 + 3 + (1 + 2 - 2)*(0 + 3 + 0))*(6*d - 3*d + 0*d). 12*d Expand (2*v**3 - 6*v**3 + 0*v**3)*(v**2 + 0*v**2 + v**2) + 2*v**3 - 5*v + 2*v + 5*v**5 + 4*v. -3*v**5 + 2*v**3 + v Expand (2*k - 2*k**2 - 2*k)*(-4*k**3 + 5*k**3 - 19*k**3). 36*k**5 Expand (-3*g + g + 4*g - 3*g + 3*g - g + (-2 - 1 + 5)*(-5*g + 4*g - g) + 0*g - 3*g + 4*g + 0*g + 0*g + g)*(-5 + 0 + 3). 2*g Expand (z**2 - z**2 - z**2)*(-2*z**3 + 1 - 7*z**3 + z**3). 8*z**5 - z**2 Expand (0*s**3 - s**3 + 3*s**3)*(-23*s - 33*s + 70*s). 28*s**4 Expand (7 + 6 - 6)*(g**3 + 0*g**3 - 2*g**3) + (2*g + 3 - 3)*(5*g**2 + 0*g**2 - 3*g**2) - 2*g + 2*g - g**3. -4*g**3 Expand (4 - 8 - 5)*(-b**3 + 1 - 1) + b**3 + b**3 - b**3. 10*b**3 Expand (0 - g + 0)*(2*g**2 + 1 - 1) + 10*g + 12*g + 3*g**3 - 2*g**3. -g**3 + 22*g Expand (-3*f + f + 4*f)*(1 + 0 + 10*f**2 - 3). 20*f**3 - 4*f Expand (3 - 3 - 2*p)*((1 - 3 + 3)*(2 - 2 + 2*p) - 1 + 1 - 3*p) + (-2*p + 5*p - 2*p)*(6*p + 4*p - 3*p). 9*p**2 Expand (-x + 5*x + 0*x)*(-6*x**2 - x**3 - 2*x**2 + 7*x**2). -4*x**4 - 4*x**3 Expand (2 - 2 - 1)*(-2*n**4 - 4*n**4 + 5*n**4) + 3*n**4 + 3*n**4 - 4*n**4 + (1 - 1 - 2*n)*(-n**3 + 4*n**3 - n**3). -n**4 Expand 4*w**4 + 47 - 47 + (w - w + w**2)*(-2*w**2 + 4*w**2 - 3*w**2). 3*w**4 Expand t**2 - 3*t**2 - 3*t**2 + (-4 - 2*t + 4)*(1 - 2*t - 1) - 3*t**2 + t**2 + 3*t**2 + t**2 + 0*t**2 + 2*t**2. 3*t**2 Expand (-3*o**2 + 3*o**2 + 2*o**4)*(-3*o + 3*o - 2*o) - 5*o**5 + 2*o**2 - 2*o**2 + 2*o**5 - 3*o**5 + 0*o**5. -10*o**5 Expand (-4*q**2 + 4*q**2 + q**3)*(8 + 10 - 8). 10*q**3 Expand (v + 4*v - 6*v)*(5*v**4 + 0*v**4 + v**4) - 2*v**5 + 5*v**5 - v**5. -4*v**5 Expand (0*i + 2*i - i)*(-3*i**3 + 0*i**3 + 4*i**3) + (0 + i**2 + 0)*(-i**2 - i**2 + 4*i**2) - 1 + 1 - i**4 + 0*i**4 + 0*i**4 - 2*i**4 + 3*i**4 - 5*i**4 - i**4. -3*i**4 Expand (3*x + 4 - 4 - 2)*(-3 + 4 - 5). -12*x + 8 Expand 3*r**4 - 3*r**3 + 3*r**3 + (0*r - r**3 + 0*r)*(0*r + r + 0*r). 2*r**4 Expand -2*x**3 - 2*x**3 + x**3 + x**3 + 3 - 3 + 4 - 4 - x**3 + (4*x + 3*x - 6*x)*(-4*x - 2*x**2 + 4*x) + 3*x**2 - 2*x**3 - 3*x**2. -7*x**3 Expand (-2*u + 3*u - 5*u)*(-u**4 + 7*u**4 - 2*u**4). -16*u**5 Expand (2*h**2 + 4*h**2 - 7*h**2)*(4*h**3 + h**3 + 0*h**3). -5*h**5 Expand 5*o + 1 - 4*o + 0 + (-2*o - 2*o + 7*o)*(-2 - 4 + 5). -2*o + 1 Expand (4*g - 3*g - 2*g + 0*g + 3*g - 5*g + (5 + 0 - 3)*(-1 + 1 - g))*(-10*g + 0*g + 0*g). 50*g**2 Expand (-2*w + 1 - 1)*(-2 - 2 + 6)*(-14*w**3 + 9*w**3 + 13*w**3). -32*w**4 Expand (-t + 0*t + 3*t)*(-5 + 2 + 0)*((-2 + 2 - 2)*(t**2 - 4*t**2 + t**2) + t**2 + 5*t**2 - 3*t**2). -42*t**3 Expand (133 - 133 + 8*w)*(-4 + w**2 + 4). 8*w**3 Expand (-l**2 + l**2 - l**2)*(l + 2*l + l). -4*l**3 Expand (3 - 3 - 2*x)*(-2*x**3 + 2*x**3 + 2*x**3) + 0*x + 0*x - 4*x**4. -8*x**4 Expand d**2 - 3*d**2 + d**2 + (3*d - 4*d + 3*d)*(-6*d + 5*d + 0*d) + 3*d**2 - 2*d**2 + 0*d**2 - d**2 - 3*d**2 + 10*d**2. 4*d**2 Expand (-u - u + 4*u)*(14*u**3 - 61*u + 61*u) - 2*u**4 - 4*u**4 + 4*u**4 + 2*u. 26*u**4 + 2*u Expand (5 + 0 - 4)*(0 - 4*n + 0) + 3*n + 0*n - n. -2*n Expand -2*h + 5 + 5 - 7 - 2*h + 2*h - h + (5 - 4 - 2)*(-3*h + 6*h - h) + h - 4*h - h. -9*h + 3 Expand (-2*w**2 - 9*w - 13*w + 33*w - 2 + 2 - w**2 + (-2*w + 0*w + 4*w)*(-2*w + 3 - 3) + 2*w**2 + 3 - 3)*(-1 + 4 - 1). -10*w**2 + 22*w Expand (-3*j + 6*j - j)*(-j**4 - 3*j**4 + 2*j**4 + (2*j**2 + 2*j - 2*j)*(-4*j**2 + 5*j - 5*j)). -20*j**5 Expand (-7 + 3*m + 7)*(-10 - 1 - m + 9). -3*m**2 - 6*m Expand (3*r - 2*r + 4*r)*(-2*r**2 + 2*r - 2*r) - r**3 - 2*r**2 + 2*r**2. -11*r**3 Expand 2*d**4 + 0*d**4 - 4*d**4 + d - d + d**4 + (-d**2 - 3 + 3)*(-d + d - 2*d**2) - 3*d**2 + 3*d**4 - 7*d**4 + 7*d**4. 4*d**4 - 3*d**2 Expand (-5 + 6 + 2)*(4 - 4 + r) + (-3 + 2 + 3)*(-1 + 1 + 2*r). 7*r Expand (-6 - 2 + 2)*(0*y**3 + 4*y**3 - 5*y**3) - 4*y**3 + 3*y**3 - y**3 - 2*y**2 + 2*y. 4*y**3 - 2*y**2 + 2*y Expand (-3*i**2 + 0*i**2 + 12*i**2)*(-2*i + i + 0*i)*(-2*i**2 - 1 + 1) - 3*i**5 - i**5 + 3*i**5. 17*i**5 Expand (4*p**3 - p**3 - 4*p**3)*(-3*p**2 + 6*p**2 - 4*p**2) + (0*p - 5*p + 18*p)*(0*p**4 - 4*p**4 + 3*p**4). -12*p**5 Expand (-3*z + 8*z**2 + 5*z - 22*z**2)*(-3*z**2 - 2*z**2 + 3*z**2). 28*z**4 - 4*z**3 Expand 12 - 12 - 35*i**5 + (i + i + 0*i)*(i**4 + 3*i - 3*i) - i**5 - 3*i**4 + 3*i**4 - 3*i**5 + 3*i**5 + 2*i**5 - i**4 - i**5 + i**4. -33*i**5 Expand (1 - 3 + 1)*(-3 - 2 + 4)*(l + 2*l + 0*l + (-5*l + 3*l + 0*l)*(-2 + 6 + 0)). -5*l Expand -1317*a - 4 + 3 + 1336*a + (3*a + 2 - 2)*(-3 + 1 + 0). 13*a - 1 Expand 83 + 5*t - 47 - 38 + (2*t + t - t)*(-3 + 2 + 2). 7*t - 2 Expand (-4*l**2 + 3*l**2 + 3*l**2)*(2*l**2 + 0*l**2 + l**2) + 33 - 3*l**4 - 33 + (2*l - l**2 - 2*l)*(-l**2 - 2*l**2 + l**2). 5*l**4 Expand (-11*x + 11*x + 2*x**3)*(6*x - 3*x - 2*x)*(-x - 4*x + 6*x) + 6*x**5 - 3*x**5 - 4*x**5. x**5 Expand ((-3*l - 3 + 3)*(2*l + l - l) + 2*l**2 + 0*l**2 + 0*l**2)*(2 - 3*l + 3*l + 2*l). -8*l**3 - 8*l**2 Expand (3*v + 0*v - 2*v)*(0*v + 2*v - 3*v) - 5*v**2 + v**2 + 0*v**2 - v**2 - v**2 + v**2. -6*v**2 Expand (-21*n + 2*n + n)*(-4*n**3 + 1 - 1). 72*n**4 Expand (-4 + 4 - 3 + 3*f)*(6 - 3
{ "pile_set_name": "DM Mathematics" }
h Suppose 7*a = 3*a - 128. Let c = -1550968 + 1550931. Which is greater: a or c? a Let u be ((-7)/2 - 273784/224)*4. Is u less than -4902? True Suppose 47086 = -5*g + 2*y, 7*y - 4*y + 37678 = -4*g. Is g less than or equal to -9418? True Let k be (-1)/(-4 - (-37)/9) - -3. Let b be 27/k*(-36)/(-135). Let g = 7 + -7. Do b and g have the same value? False Let n = -304 - -300. Let q be 3/5 - 259/140*n. Let r = -1.1 + 4.1. Is r bigger than q? False Let g = 4445 + -4451. Do -16 and g have different values? True Let x(c) = c**2 + 6*c - 16. Let r be x(3). Let m be 6 + -8 + -8 + r. Which is greater: m or 8/63? m Let z = -27596 + 26188. Are -1409 and z unequal? True Suppose -31*c - 140 = 97*c + 12*c. Is -4/7807 equal to c? False Let u = 161 - 89. Let k be (-74)/(-14) - (2 - u/42). Suppose -1 = -w + k. Is w less than 4? False Let p be (-346)/(-2) + 6*5/(-15). Which is smaller: 105 or p? 105 Let x be ((-13)/(-5))/(24/(-5)). Let u = 246590 + -246590. Do u and x have different values? True Let d = 20060 - 23013. Is -2954 < d? True Let v be 10/14 + (-12)/(-42). Let b(j) = -26*j**2 - 5*j + 2. Let r be b(v). Is r <= 1/7? True Suppose 3*x = 2*k - 1476, 2*x = -22 + 30. Which is smaller: 3722/5 or k? k Let f be (-4)/78*7*(-1155)/(-55). Is f bigger than -7? False Let c(f) = -f**2 + 12*f + 14. Suppose -2 - 11 = -a. Let p be c(a). Which is smaller: p or 4/27? 4/27 Suppose 0 = 84*d - 86*d - 3*q - 1463, -3*d - 4*q - 2191 = 0. Is d at least as big as -0.1? False Let j be 52/8892*-57 + 0 + 0. Let h = 162 + -297. Let r = -47 - h. Is j at most r? True Let n = -1543/5 - -313. Suppose 2*x - 4*m - 38 = 0, 0*m = -5*m - 5. Suppose 16*y + x = 81. Is n bigger than y? True Suppose p - 4 = 0, -32*p + 30*p = -3*i + 1. Suppose 2*g - i*m = -2, -8 = -4*g + 4*m - m. Does 15 = g? False Let h(w) = -62*w**3 + 3*w**2 - 72*w - 74. Let n be h(-1). Which is bigger: 61 or n? n Let w = 42721 - 42716. Let k = -2 - -1.5. Which is greater: k or w? w Let p = -45 - 40. Suppose 2*h = -7*j - 566, -2*j - 1892*h + 1893*h = 179. Which is smaller: p or j? p Let x be (-312)/(-91) - (-10)/(-7). Which is smaller: 3 or x? x Let c(m) = m**2 - 6*m + 13. Let r be c(4). Let x be r - (-3 + 6) - 28. Which is smaller: x or -27? -27 Suppose -36827 = -5*f - 4*i + 4050, -5*f - 2*i + 40891 = 0. Which is smaller: f or 8180? 8180 Let p(o) = -2*o + 6. Let i(j) = -1. Let v(m) = 2*i(m) + p(m). Let t be v(5). Suppose 47*l = 1078 - 1501. Is t at most l? False Let x(u) = 3*u**3 - 34*u**2 - 24*u + 2. Let a be x(12). Let b(s) = -5*s**2 + 3*s + 6. Let t be b(-6). Let n = 1551/8 + t. Is n >= a? False Let i be (-1)/4 - (-1042)/8. Let l(u) = 819*u + 14873. Let y be l(-18). Is i != y? True Let m be (629*1)/(12 - (-221)/(-17)). Does -631 = m? False Let t be ((-48)/(-15))/(2/30). Let a = t + -43. Suppose -10*b = -a*b + 35. Which is smaller: -9 or b? -9 Let f(h) = 4*h - 3 + h**2 + 4*h + 9. Suppose -35*z + 37*z + 3*m = -17, 15 = -2*z - m. Let w be f(z). Is w bigger than -4? True Let f be (-3 - 208/(-6))*(-15 + 18). Which is smaller: f or -7? -7 Suppose -3*t - 9*t = -2796. Let q = t + -306. Is q greater than -70? False Let g = -4/1003 - -1015/3009. Let c = 0.08 - -0.093. Which is smaller: c or g? c Let i(d) = -2338*d + 7778. Let v be i(3). Which is bigger: v or 792? 792 Suppose -12*o = -1144 + 172. Suppose 9 = 18*w + o. Which is smaller: -33/13 or w? w Suppose 4*h - x + 7 = 3*h, 11 = -h + 3*x. Let y be (-30)/12 - (-4)/(-3 + h). Is y at least -54? True Let y be 1 + 0 + (-13)/(23205/(-161436)). Let u = 640/7 - y. Is 0 >= u? True Let z(g) = -46*g**2 + 4*g - 11. Let y be z(2). Which is smaller: -182 or y? y Let x = -289 + 288.698. Let z = x - 0.698. Is -0.4 at least z? True Let s = 11 - 66. Let m be (-5)/(-7)*2/s. Let x(v) = -v**2 - 207*v + 1497. Let c be x(7). Is c bigger than m? False Let m = 42.07 + -42. Let q = 1043.2 + -1043. Which is bigger: q or m? q Let w = -3513.2 + 3177. Let i = -342 - w. Which is smaller: i or -1? i Let j(y) = -y**3 + y**2 + 5*y - 5. Let w be j(2). Let g be 10/(-23)*(-5)/(w - 56). Let x = g - -3/23. Is 1 at least as big as x? True Let m(w) = -205*w + 1647. Let u be m(8). Is u < 287/44? False Let y be (-8)/(-34) + (-585)/(-765). Let h(n) = -16*n - 8. Let f be h(-7). Which is greater: y or f? f Let z(m) = m + 5. Let g be z(-4). Let c be 1/((-2)/g)*4. Let k = -683121 - -2732483/4. Is c not equal to k? True Suppose 2*o + f + 92 = 0, -o = -4*f + 18 + 37. Let b be 18/63 - o/7. Let c be (3/(-9))/(b/105). Do c and 1 have different values? True Let q = 36/229 - 11503/62975. Is 0 <= q? False Let t = -158877844563 + 154905916939798/975. Let s = t - 18965. Which is smaller: 0 or s? s Let b(x) = 0*x**2 + 0*x**2 - x + 1 + x**2. Let p be b(1). Let i = -481210.04 - -481210. Which is smaller: i or p? i Let v = -145 - -159. Suppose v*t - 28*t - 7084 = 0. Is t bigger than -1? False Let j(c) = -2*c**2 - 4*c + 7. Let m be j(-3). Let q = 4 - 6. Let g be (-1*3/(-3))/(m/q). Which is bigger: g or -7/4? -7/4 Let i = -336.4247 - 0.5753. Which is bigger: -1.8 or i? -1.8 Let a = 7/227 - 716/1135. Which is smaller: a or -375? -375 Let u = -6613 + 6613. Let m be 4/(-12)*4/(-214). Is u at most m? True Let a be 1*(1 - -6)*(6 - 9). Let u = -18 - a. Suppose 2*m + 8 = -2*x, 44 = -4*x - 0*m + u*m. Are -6 and x equal? False Suppose -3*g - 25 + 34 = 0. Suppose g*m - 19 = -4*x, 2*m + 4*x = m + 17. Let p = 17/66 - 1/11. Which is smaller: m or p? p Suppose 2*p - 3*q + 5 = 0, 4*q - 22 = -2. Suppose 4*w - p*w + 17 = -5*t, 3*w - 51 = -2*t. Suppose -4*o - 3 = w. Which is bigger: -0.4 or o? -0.4 Let m = 195 - 59. Let h = -186 + m. Which is smaller: 2 or h? h Let c = -5521.01 + 5521. Which is smaller: c or -0.185? -0.185 Let j be (4/((-12)/(-1)))/((-2)/(-6162)). Let u = -38003/37 + j. Which is smaller: 0 or u? u Suppose 2*n + 3*n + 15 = r, -4*r - 2*n - 6 = 0. Suppose r*j - u = j + 1, 4*j = -u - 10. Is j at most -7? False Let q = -1873 + 2079. Is q < 203? False Let c = -26 - -29. Suppose -4*m + 16 + c = h, -17 = 2*h - 3*m. Let v = -20824/7 - -2974. Which is smaller: v or h? h Let d be 3 + ((-48)/(-4))/(-4). Suppose 4*f = -d*f + 3*m - 13, 0 = -5*f - 2*m + 1. Let q be 1 + -14 + 9266/738. Does f = q? False Let o = -194/305 + 72/305. Are o and -26.83 nonequal? True Suppose 665*g = 681*g + 12368. Which is greater: -769 or g? -769 Let s be 93/(-217) - (154270/7 + 1). Let t be 1/(-8) - 2907/s. Is 0 greater than t? False Let b be 9 + -10 - ((-4)/3)/2. Suppose 1039 = -8*s + 351. Is s at least b? False Let p = 14719 + -7850. Is p < 6872? True Let t be (-32)/(-56) + (-12408)/(-42) + -4. Are 293 and t nonequal? True Let y = 40621/1656 + -32/207. Is y < 24? False Let u be 1095/(-60) + 3/(-4). Let b = u - -22. Suppose -b*n + 44 = 17. Which is smaller: 3 or n? 3 Let n(d) = -6232*d - 16. Let y be n(-1). Let h be ((-16)/y)/((-6)/9). Which is smaller: 0 or h? 0 Let z(q) be the first derivative of 13*q**2/2 - 118*q - 193. Let b be z(-11). Are -260 and b unequal? True Let x(w) = w**3 - 24*w**2 + 3*w - 3. Let l be 248/24 + 13 + 2/3. Let k be x(l). Is k bigger than 68? True Let m = 3370 + -3397. Are -19 and m equal? False Suppose 2*x = 5*j - 23, j + 0*x = 5*x + 23. Suppose j*q + 4*b = 232, -59*b + 58*b + 318 = 4*q. Is q equal to 80? True Suppose 0 = -5*m + 5*k - 70, 76 = -4*m - 0*m - k. Let n be 1*(5 - 19) + -3. Which is greater: m or n? n Let f be ((-820)/(-25))/(-2) - 3. Let d = 19 + f. Let g = 3.3 + -5.3. Do d and g have the same value? False Let h be (-124)/(-240) + (4 - (-72)/(-16)). Let i = 43 - 42. Is h at least i? False Suppose 24*f + 8 = 16*f. Let y be (f - (-3 - -1))*(32 + -60). Which is smaller: y or -144/5? -144/5 Suppose 4*z = -55 + 63. Suppose -6*q = -z*q. Let o be (-3 - q/(-2)) + 1 + 1. Which is smaller: o or 4? o Let l = 7563 + -7564. Let n be 1/(-3) + -8*1. Is n greater than l? False Let i(d) = -d**2 + 62*d - 230. Let n be i(4). Let g(j) = -3*j + 6. Let u be g(4). Let w(r) = r**3 + 7*r**2 + 5*r - 4. Let k be w(u). Is k less than n? False Let d be (7 - -2) + (1285/(-4855))/(4/136). Suppose 0 = -2*l - 0 + 2. Is l <= d? False Let y be 36/(-81) - 17121/(-38583). Which is smaller: 0 or y? y Let x = 722 - 720. Suppose -4*f - 303 = 4*i - 67, x*i = -4*f - 112. Is i >= -59? False Let k(m) = -94*m - 841. Let p be k(-9). Which is smaller: 573 or p? p Let f be (2 + (-64)/24)/
{ "pile_set_name": "DM Mathematics" }
8. 145165320 What is the lowest common multiple of 2018400 and 2400? 2018400 What is the common denominator of 1/44930735 and 8/26835? 134792205 What is the least common multiple of 1991 and 21352932? 234882252 Calculate the lowest common multiple of 1075546 and 11831006. 11831006 What is the smallest common multiple of 245430993 and 191718? 1472585958 Calculate the lowest common multiple of 7452 and 1978983. 1638597924 What is the smallest common multiple of 241775 and 1221600? 23210400 Calculate the common denominator of 13/1260840 and -71/27318200. 81954600 Calculate the common denominator of -113/1000 and 7/14758000. 14758000 What is the least common multiple of 80744 and 688? 6943984 What is the common denominator of -53/18826 and 35/4166? 39214558 Calculate the common denominator of -113/18 and 161/599184. 599184 Find the common denominator of -19/1191500 and -137/47183400. 235917000 Calculate the least common multiple of 400 and 53945200. 53945200 Calculate the least common multiple of 43708 and 2391396. 533281308 What is the least common multiple of 169317 and 537? 30307743 Calculate the common denominator of -37/874722 and 155/5472. 41986656 What is the smallest common multiple of 1750792 and 328? 71782472 Find the common denominator of 63/178 and 46/1657803. 3315606 What is the least common multiple of 839055 and 10308390? 72158730 Calculate the lowest common multiple of 4286412 and 33228. 4286412 What is the lowest common multiple of 88027282 and 214788? 528163692 Calculate the common denominator of 107/208 and -99/5848. 152048 What is the smallest common multiple of 94 and 19773464? 19773464 Find the common denominator of 79/466719 and 173/124147254. 124147254 Calculate the lowest common multiple of 24643260 and 62388. 24643260 What is the least common multiple of 1977304 and 1865682? 231344568 Find the common denominator of 107/46230 and 67/24380. 4900380 What is the common denominator of -109/620 and 9/5425000? 5425000 Calculate the common denominator of -187/16589040 and 107/390. 16589040 Calculate the lowest common multiple of 30727260 and 30. 30727260 Calculate the least common multiple of 6744 and 1149760. 969247680 What is the least common multiple of 866160 and 540? 866160 What is the least common multiple of 180015 and 12? 720060 What is the common denominator of 101/2100982 and 5/2373174? 586173978 Find the common denominator of -127/84 and -5/3353. 40236 Find the common denominator of -13/3638823 and 70/627. 40027053 Find the common denominator of 1/15 and 31/58120210. 174360630 Calculate the smallest common multiple of 120735 and 4842815. 43585335 Calculate the smallest common multiple of 1082506 and 1577526. 1828352634 Calculate the least common multiple of 1406 and 1322444. 929678132 Calculate the common denominator of -31/197221842 and 139/197221842. 197221842 What is the smallest common multiple of 2363970 and 8510292? 42551460 Find the common denominator of -67/10859841 and 9/19573. 401814117 What is the least common multiple of 213928 and 19736? 527760376 What is the lowest common multiple of 5788 and 17584? 25444048 What is the common denominator of 7/496 and 99/564262? 4514096 What is the lowest common multiple of 4109 and 609306? 4265142 What is the least common multiple of 1239420 and 1400? 12394200 What is the common denominator of 125/96648804 and 93/20? 483244020 Find the common denominator of -60/7337 and 63/902. 601634 What is the lowest common multiple of 7107588 and 22507362? 135044172 Find the common denominator of -47/447826 and -14/1897975. 884456350 What is the common denominator of -101/29847532 and -145/313086? 89542596 Calculate the smallest common multiple of 241349 and 45. 10860705 Find the common denominator of -19/319807418 and -117/11027842. 319807418 Find the common denominator of 37/1653 and 5/1021989. 19417791 What is the lowest common multiple of 786980 and 68590? 14952620 Calculate the common denominator of -95/17485124 and -69/4288. 279761984 What is the common denominator of -93/2671306 and -109/22594? 34726978 What is the smallest common multiple of 729 and 1179036? 3537108 What is the smallest common multiple of 5720 and 37600? 5376800 What is the smallest common multiple of 1458572 and 208? 75845744 What is the least common multiple of 11427911 and 304? 182846576 Calculate the least common multiple of 3121464 and 16. 6242928 What is the lowest common multiple of 10425228 and 15637842? 31275684 Find the common denominator of -35/23995341 and -5/2924307. 1751659893 What is the smallest common multiple of 2510 and 8485? 4259470 Find the common denominator of -69/3136 and -9/1563436. 175104832 Calculate the smallest common multiple of 28016870 and 11935. 308185570 What is the lowest common multiple of 1950541 and 25445? 68268935 What is the common denominator of 54/1555 and -97/24696510? 24696510 What is the common denominator of 203/19338930 and 7/90? 19338930 Find the common denominator of 63/200 and 79/63400850. 253603400 What is the least common multiple of 61085 and 194186? 18447670 What is the lowest common multiple of 5 and 321361975? 321361975 What is the least common multiple of 28092356 and 2? 28092356 What is the common denominator of -7/19420 and -50/2227? 43248340 What is the common denominator of 57/38367416 and -85/33506? 422041576 Calculate the common denominator of -103/28028322 and -47/8008092. 56056644 What is the least common multiple of 12366982 and 4? 24733964 Calculate the common denominator of -97/1458 and 83/9854622. 9854622 Find the common denominator of 10/1203 and 97/452208. 181335408 What is the common denominator of 7/12341733 and -71/30? 123417330 What is the least common multiple of 580 and 26743887? 534877740 What is the common denominator of -157/204516 and -10/992979? 75466404 Find the common denominator of -43/40 and -26/33346165. 266769320 What is the lowest common multiple of 24 and 4391184? 4391184 Find the common denominator of -59/39979522 and 37/249612. 239877132 What is the lowest common multiple of 27509082 and 36? 165054492 Find the common denominator of 2/153 and 16/122415. 6243165 What is the smallest common multiple of 347824 and 64? 1391296 Calculate the lowest common multiple of 36 and 12681120. 38043360 Calculate the lowest common multiple of 15217 and 91302. 91302 Calculate the smallest common multiple of 21721304 and 2715163. 21721304 Find the common denominator of 89/1475824 and 115/1660302. 13282416 Find the common denominator of 103/4935 and 62/34163595. 239145165 Calculate the common denominator of -52/293161 and -13/13717. 12605923 Calculate the common denominator of -50/62867 and -41/161658. 1131606 Find the common denominator of -113/46332 and 125/4356. 509652 What is the common denominator of 71/1432448 and 43/369024? 133217664 What is the common denominator of 101/6112680 and 61/2280? 6112680 What is the smallest common multiple of 28901900 and 200? 57803800 What is the least common multiple of 103319 and 386? 39881134 What is the common denominator of -103/50798 and -87/60094034? 60094034 Calculate the common denominator of 155/240648 and 101/55284. 4091016 What is the smallest common multiple of 4182650 and 669224? 16730600 Find the common denominator of -94/23349963 and -4/51. 396949371 What is the lowest common multiple of 13855443 and 69277215? 69277215 Calculate the common denominator of 61/31848786 and 4/355311. 350336646 Calculate the smallest common multiple of 88634 and 5901466. 537033406 What is the common denominator of 19/26610 and 91/4736580? 4736580 Calculate the common denominator of -8/49809 and 61/82251262. 246753786 Calculate the smallest common multiple of 6 and 1806457. 10838742 Calculate the common denominator of -89/47412 and -127/6912. 3034368 What is the smallest common multiple of 492 and 20970? 1719540 What is the least common multiple of 32652 and 1900? 15509700 Calculate the common denominator of 65/3800528 and 101/7876. 41805808 Calculate the smallest common multiple of 123627 and 2142868. 6428604 What is the lowest common multiple of 12726 and 547824? 11504304 What is the common denominator of -89/40 and -83/5645520? 5645520 What is the common denominator of 43/662 and -1/271320? 89806920
{ "pile_set_name": "DM Mathematics" }
hout replacement from cccsssc? 2/7 Four letters picked without replacement from {g: 4, r: 1, z: 2, h: 5, i: 2, a: 1}. Give prob of picking 1 r, 1 g, 1 a, and 1 h. 4/273 Three letters picked without replacement from ttxxcctcxxttctxt. Give prob of picking 1 x and 2 c. 3/56 Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {z: 3, m: 1, k: 2, b: 4, u: 2}. 2/33 Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {q: 3, k: 1, g: 10, v: 2, e: 2, h: 2}. 1/1140 Three letters picked without replacement from hnhnnnnnhhnnnnnnnnhn. Give prob of picking 3 n. 91/228 Four letters picked without replacement from zzdddddd. What is prob of picking 1 z and 3 d? 4/7 What is prob of picking 3 e when three letters picked without replacement from uuuuueuuuuuueeeeeuu? 20/969 Two letters picked without replacement from bsqssdpqsswbqdqsqspd. Give prob of picking 1 w and 1 b. 1/95 Four letters picked without replacement from {k: 4, e: 2}. What is prob of picking 4 k? 1/15 Two letters picked without replacement from aavdavdvvaaadaadd. What is prob of picking 1 a and 1 v? 4/17 Three letters picked without replacement from {j: 10, b: 2, q: 1, n: 1}. What is prob of picking 1 j, 1 n, and 1 b? 5/91 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 1, x: 1, u: 3, m: 2, k: 2, d: 3}. 1/66 Calculate prob of picking 1 n, 1 d, 1 o, and 1 y when four letters picked without replacement from {y: 1, o: 1, d: 1, n: 1, h: 2, w: 1}. 1/35 Two letters picked without replacement from {y: 1, i: 2, j: 1, x: 2, o: 2}. What is prob of picking 1 j and 1 o? 1/14 What is prob of picking 4 z when four letters picked without replacement from zhghzzzghgzhggz? 1/91 Four letters picked without replacement from ofoofooiofoofoiii. Give prob of picking 3 i and 1 f. 4/595 Calculate prob of picking 2 b and 1 k when three letters picked without replacement from {r: 4, k: 4, b: 6, l: 3}. 3/34 Three letters picked without replacement from {u: 3, y: 7, x: 2, l: 3}. Give prob of picking 2 x and 1 u. 3/455 Calculate prob of picking 1 s, 1 b, and 2 g when four letters picked without replacement from sbbgsssgg. 4/21 What is prob of picking 1 d, 1 x, and 1 q when three letters picked without replacement from {s: 2, d: 1, x: 1, m: 1, q: 1, k: 1}? 1/35 Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, b: 3, o: 2}. 1/21 Calculate prob of picking 2 h, 1 a, and 1 q when four letters picked without replacement from {h: 6, q: 1, a: 4}. 2/11 Four letters picked without replacement from xoino. Give prob of picking 1 x, 1 n, 1 o, and 1 i. 2/5 Calculate prob of picking 1 d, 1 y, and 1 q when three letters picked without replacement from {q: 1, o: 1, y: 3, d: 2}. 6/35 Two letters picked without replacement from kkssqsssqrsss. Give prob of picking 1 r and 1 q. 1/39 Two letters picked without replacement from {p: 13, s: 4, d: 3}. What is prob of picking 2 d? 3/190 Calculate prob of picking 1 r, 1 z, and 1 i when three letters picked without replacement from {a: 2, k: 2, i: 1, r: 2, z: 1}. 1/28 Calculate prob of picking 1 n, 1 q, and 1 l when three letters picked without replacement from mmlqnjylmln. 2/55 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {w: 4, i: 1, z: 4, p: 2}. 8/55 Four letters picked without replacement from {u: 6, t: 9, c: 2}. What is prob of picking 1 t, 1 u, and 2 c? 27/1190 Three letters picked without replacement from {z: 1, n: 6, h: 2, v: 5, r: 2}. Give prob of picking 3 v. 1/56 Two letters picked without replacement from {k: 5, v: 2}. What is prob of picking 2 k? 10/21 Four letters picked without replacement from fffxffbpbb. What is prob of picking 4 f? 1/42 Four letters picked without replacement from zzjiizzuhzzzi. Give prob of picking 1 u, 1 j, and 2 z. 21/715 What is prob of picking 3 x and 1 m when four letters picked without replacement from {x: 9, p: 1, l: 1, m: 3}? 36/143 Calculate prob of picking 2 x when two letters picked without replacement from lxxxvxl. 2/7 What is prob of picking 4 z when four letters picked without replacement from {r: 2, z: 4, w: 2, y: 2, t: 2}? 1/495 What is prob of picking 1 k and 3 u when four letters picked without replacement from uukou? 1/5 Two letters picked without replacement from {y: 1, f: 11}. Give prob of picking 2 f. 5/6 What is prob of picking 1 h and 1 b when two letters picked without replacement from {b: 1, h: 17}? 1/9 What is prob of picking 3 w when three letters picked without replacement from {w: 7, n: 5}? 7/44 What is prob of picking 2 b and 1 r when three letters picked without replacement from rrihihhrhrhrbbhrrhh? 7/969 Calculate prob of picking 4 o when four letters picked without replacement from {o: 6}. 1 What is prob of picking 1 p and 1 e when two letters picked without replacement from pedop? 1/5 Three letters picked without replacement from {e: 2, b: 2, p: 6, o: 3}. Give prob of picking 1 p and 2 b. 3/143 What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 2, h: 2, n: 1, y: 1}? 2/15 What is prob of picking 2 c when two letters picked without replacement from {c: 3, m: 2}? 3/10 What is prob of picking 2 j when two letters picked without replacement from {e: 4, j: 2, f: 8, c: 3}? 1/136 Four letters picked without replacement from {i: 4, u: 1, k: 3, v: 3}. What is prob of picking 1 v, 2 i, and 1 u? 3/55 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {h: 10, d: 2, u: 2, w: 1, x: 4}. 40/171 Calculate prob of picking 1 s and 3 w when four letters picked without replacement from {s: 4, w: 4, j: 2}. 8/105 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 7, y: 2, v: 1, q: 8, u: 1}. 7/171 Three letters picked without replacement from {i: 1, n: 11, l: 1, r: 2, w: 1}. Give prob of picking 1 w, 1 r, and 1 l. 1/280 What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmmm? 1 Calculate prob of picking 3 u when three letters picked without replacement from {f: 1, u: 7, n: 10}. 35/816 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {s: 1, p: 2, f: 1, r: 1, m: 2, z: 1}. 1/14 Two letters picked without replacement from {o: 2, x: 1, b: 2, e: 8}. What is prob of picking 2 e? 14/39 What is prob of picking 2 r and 1 g when three letters picked without replacement from wrrrg? 3/10 Three letters picked without replacement from {o: 13, i: 3}. What is prob of picking 2 i and 1 o? 39/560 Two letters picked without replacement from {x: 4, o: 4, e: 1, n: 2}. What is prob of picking 1 n and 1 e? 2/55 Two letters picked without replacement from iiiiiiiiiiiiiiiiid. What is prob of picking 2 i? 8/9 What is prob of picking 1 c and 1 m when two letters picked without replacement from ccmcaacaoomaa? 4/39 Three letters picked without replacement from {a: 4, w: 6}. What is prob of picking 1 a and 2 w? 1/2 What is prob of picking 2 r, 1 y, and 1 i when four letters picked without replacement from inrbbrryrbrk? 2/99 Two letters picked without replacement from cvqvy. What is prob of picking 1 v and 1 y? 1/5 Four letters picked without replacement from {x: 2, y: 3, z: 5, h: 5}. What is prob of picking 1 z, 2 x, and 1 y? 1/91 What is prob of picking 2 d when two letters picked without replacement from idd? 1/3 Calculate prob of picking 1 s, 1 m, and 2 g when four letters picked without replacement from hgmhdwsggdwwwsm. 4/455 Two letters picked without replacement from cccccc. What is prob of picking 2 c? 1 What is prob of picking 1 u and 1 b when two letters picked without replacement from {l: 8, u: 1, b: 4}? 2/39 Calculate prob of picking 2 c when two letters picked without replacement from {d: 5, c: 8}. 14/39 Three letters picked without replacement from llglgggggg. Give prob of picking 3 g. 7/24 What is prob of picking 1 o, 2 z, and 1 h when four letters picked without replacement from looholozzl? 2/105 Calculate prob of picking 2 w, 1 x, and 1 p when four letters picked without replacement from xxkpcpkwxxwxxwwjpwxx. 16/323 What is prob of picking 2 u and 2 o when four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
be (-54)/(-8) + 5/20. Let o = 11 - r. Suppose -o*t - a = -569, 4*t - 727 = -t + 4*a. Is t a prime number? False Let l = -5798 + 9771. Is l a composite number? True Let i(q) = -2*q**3 + 152*q**2 - 151*q + 11. Is i(72) a prime number? False Is 118848/4 + -14 + 5 a composite number? True Let i be (-9)/(-18) + 134/(-4). Let q = 27 + i. Is 21 + 9/(27/q) a composite number? False Let h(i) = 6*i**2 - i + 8*i**2 + i**2 - 1 - 6. Is h(-3) composite? False Suppose 0 = 3*m - 1 - 20. Is 10305/21 + 2/m a composite number? False Let b = 17 + 1. Is (1 - 0)/(b/19566) composite? False Let u(f) = -3*f**3 - 2*f - 1. Let q be u(-1). Let j be 3/2 - q/(-8). Suppose -4*g = -5*n + 259, 4*g + 4 = -j*n + 102. Is n a composite number? True Suppose -2*g - 8 = 2*c - 3*c, -4*g = -c + 14. Let v(h) = 98*h + 5. Let i be v(g). Is i*-1*(1 + 0) composite? True Let n = 500 + -200. Let f = 1031 - n. Is f composite? True Suppose 0 = m - 3*c + 4*c - 26, m - 3*c = 34. Let l = -13 + m. Is 628/(-10)*l/(-6) composite? False Let l be 2/(-2)*-1*5. Let p(a) be the third derivative of a**6/120 - a**5/30 - a**4/12 - 2*a**2 + 23*a. Is p(l) a composite number? True Suppose 8*c + 14*c = 19162. Is c prime? False Let l be 753/(44/40 - 2/(-5)). Suppose 112*u = 114*u - l. Is u prime? True Let c(o) = -22*o**3 + 7*o**2 - 4*o + 5. Let r(z) = z**2 + z - 6. Let f be r(0). Is c(f) a composite number? True Let g(t) = t**3 + 12*t**2 + t + 10. Let q be -2 + 24/(-3) - 2. Let u be g(q). Is (-3)/(-3) - (u - 412) composite? True Suppose -5*m - n + 14 = 3*n, -3*n = -3. Suppose m*v = 3*q + v - 15, -2*q + 3 = -3*v. Suppose q*z - z = 175. Is z composite? True Let g(i) = 8*i**2 + i - 3. Let a(u) = u**3 + 7*u**2 - 8*u + 1. Let r be a(-8). Suppose -5*v = -3*c + 11, 4*v + 13 + r = 5*c. Is g(c) a composite number? False Suppose 9*d = 1483 + 110. Is d a prime number? False Suppose 4*d = -4*d - 520. Is -1893*(13/d)/((-3)/(-5)) a prime number? True Suppose 21 = 5*v + q, 3*v + 2*q - q = 11. Suppose -3*l - 15 = -i, l - 58 = -v*i - l. Is ((-207)/i)/(1/(-4)) prime? False Let n(h) = -25*h - 47. Let v(s) = 124*s + 234. Let l(r) = -11*n(r) - 2*v(r). Is l(6) composite? False Suppose 3*y + 0*x - 32 = -4*x, -10 = -2*x. Suppose g + 152 = y*v, -4*v + 5*g = -0*v - 152. Is 0 + v + 3 + -3 prime? False Let g(f) = 14*f**2 + f + 2. Let u be g(2). Suppose 0 = b + 3*z - 16, 11*b + 5*z = 10*b + 24. Suppose 544 - u = b*d. Is d composite? True Suppose -202 + 13612 = 2*u + 4*v, u + 3*v - 6703 = 0. Is u composite? False Let g be (-8085)/(-63) - (-1)/(-3). Suppose -h + g = 5*m - 198, -5*h + 4*m + 1659 = 0. Is h prime? True Let x = 14 - 9. Suppose -3*v + x*i = -8*v - 45, v - 2*i = -9. Let q = 202 - v. Is q prime? True Suppose 0 = -44*u + 199041 + 600923. Is u a prime number? True Is ((-12)/18)/(2 + 79184/(-39588)) a prime number? True Let n be -71446 - (-2 + 2 + -4). Is n/(-35) - ((-4)/5 - -1) prime? False Let t(o) = -2*o + 2. Let s be t(4). Let q be 79 + (-3)/s*-2. Suppose -4*y = 2*n - q - 48, 3*n - y - 210 = 0. Is n prime? False Let h = 1551 + -1039. Let a = h + 185. Is a a prime number? False Suppose -2 = 2*q, -s - s + q = -2079. Is s prime? True Suppose 0 = 10*b + 96 - 26. Let r(u) = -121*u + 72. Is r(b) a composite number? False Is (-162)/(-2511) - 53907/(-31) composite? True Suppose 36*g = 53*g - 13821. Is g composite? True Let d = -473 + 803. Is 2/(-2) - (12 - d) composite? False Let d be 12/14 + 3/21. Let k be -3*(d*-4 + 3). Suppose 3*a + 4*b = k*b + 115, -173 = -5*a + 3*b. Is a composite? False Let b be ((-4)/(-10))/(10964/2740 - 4). Suppose -3*z + 828 - b = 4*h, 4*h = 5*z - 870. Is z prime? False Let y be -7 - -8*(-3)/(-6). Is -6 + (0 - y) - -40 a composite number? False Let z = -28 + 8. Let d be (-1048)/(-10) - 4/z. Let f = d + 10. Is f prime? False Suppose -2*f = 2*s - f + 1478, 4*f = 8. Let j = s - -2745. Is j prime? False Let u = -1925 - 2136. Let c = -1846 - u. Is c composite? True Suppose -75*t + 79*t - 37532 = 0. Is t a composite number? True Suppose 12*v - 2979 = 9*v. Is v a prime number? False Let a(v) = -5*v**3 + 8*v**2 - 11*v + 1. Let f(x) = -x**3 - x**2 + x + 1. Let j(k) = -a(k) - 6*f(k). Is j(5) a composite number? True Let y(p) = -p - 5. Let g(r) = r**3 - 2*r**2 - r - 1. Let u be g(3). Let o be y(u). Is (-5)/o + 516/8 composite? True Let d(g) = -13*g + 18*g**2 + 20*g - 6*g**2 + g**3 + 7*g + 6. Is d(-9) composite? True Suppose 0*z = -d + 4*z - 166, -3*d = -3*z + 480. Let c = 230 + d. Suppose -4*o - r = -2*r - c, 3*o - 77 = -5*r. Is o a composite number? False Let b = 3065 - 1626. Is b a prime number? True Let c(t) = 2*t + 10. Let l be c(-5). Suppose -r + 6 = -l. Is 1581/r + 1/(-2) a prime number? True Let q(g) = 9*g**2 - 22*g + 47. Let y be q(21). Suppose 0 = 3*j - 2*d - 3609, d + 52 = 3*j - y. Is j composite? False Let v be ((-1185)/10)/((-3)/272). Suppose -2*t = -6*a + 2*a + 42984, 0 = -a + t + v. Suppose 0*f + a = 5*n - f, 10733 = 5*n + 4*f. Is n prime? False Suppose 5*c + 5*s - 132745 = 0, 4574 + 128191 = 5*c - 5*s. Is c a prime number? False Let i(p) = -40*p**2 - 15*p + 14. Let t(r) = 13*r**2 + 5*r - 5. Let k(s) = -6*i(s) - 17*t(s). Is k(5) prime? False Let f = -472 - -2109. Is f a prime number? True Suppose -h - 6 = -7. Let a be -2 + h*(3 - 3). Is a/(-4 - 708/(-178)) composite? False Let u = -8 - -6. Let m = u - -1. Let g(l) = -6*l + 1. Is g(m) composite? False Let y = 1337 + -1123. Is y composite? True Suppose 9*l - 12*l = -6366. Is l a prime number? False Let k(d) = 12*d**3 + 6*d**2 + 12*d + 5. Is k(9) composite? True Let j(n) = -137*n. Let z = -25 - -20. Is j(z) composite? True Let v be 16/(-12) + 2/6. Is (-76)/v - (0 + -3) prime? True Let l(u) be the second derivative of -u**5/20 + 7*u**4/12 + u**3/6 + 2*u**2 + 15*u. Is l(7) composite? False Let v be (-2 + -1)*-1 - -11. Let d be 2*v/12*3. Is 2865/d + 10/(-35) composite? False Let t(i) = -3*i**3 + 15*i**2 + 21*i + 50. Is t(-11) composite? True Suppose -3*b + 1464 = -3*o, -b - 725 = 2*o + 260. Let f = o + 1948. Is f a prime number? False Let a = 987 - 1695. Let t = -383 - a. Suppose -t = -l + 94. Is l composite? False Let s(y) = 2*y**2 + 13*y - 4. Let u be s(-7). Is 2*1006/2 + u a composite number? False Let w(s) = -4*s**2 + 9*s - 3. Let y be w(6). Let b = -52 - y. Let x = b + -22. Is x prime? True Let c = -2300 + 3613. Is c prime? False Let w(g) = -1118*g**3 - g**2 + 6*g + 5. Let z be w(-2). Let c = z - 5140. Is c prime? True Let u be 13496/(-13) + (-10)/(-65). Let i be u/(-10) + (-13)/(-65). Suppose g - i = -3*g. Is g composite? True Let p be 0*(-2)/(-6) - -2. Let c(g) = 3 + 13*g**2 + 0 - 3*g**p. Is c(3) composite? True Let y(f) = -229*f + 46. Is y(-7) a prime number? False Let t be (-4)/(-6) + (-2 - (-12)/9). Let s = t + 79. Is s prime? True Let v(k) = -43*k - 3. Suppose 0 = -g - 2*l - 7, 5*l = -g - 0*l - 22. Suppose -g*y = -6*y - 6. Is v(y) prime? True Suppose -i + b + 312 = 0, 3*b - 332 + 1575 = 4*i. Is i prime? True Let x(n) = -4*n - 2. Let s be x(-2). Suppose 15 = -t + 5*o, -s*t - 3*o + 32 = -2*t. Is (1497/(-6))/(t/(-10)) a prime number? True Let s be (-225)/(-63) - 3/(-7). Suppose s*y - 5*y = -178. Is (-3)/6*-1*y a composite number? False Let d be -1 + 0 - (-7 - 0). Suppose 9*l - d*l = 1491. Is l a composite number? True Suppose 0 = -5*f + 4*q + 139, -3*f + 28 = -2*f - q. Let i be 0*(f/6 + -4). Suppose 5*r + n = 6*n + 435, i = -r - 2*n + 87. Is r a composite number? True Let g(i) = 44*i - 17*i + 2 - 2*i. Let m = -4 + 7. Is g(m) prime? False Suppose 7*u - 546 = -0*u. Suppose 0 = 3*p - 3261 + u. Is p a prime number? True Suppose -2*l - 10090 = -4*a, a - 5*l - 388 - 2148 = 0. Is a prime? True Let d = 45 + -43. Is 354 - -3*d/(-6) a prime number? True Let l be 31676/18 + 14/63. Let h = l - 693. Is h prime? False Let r(y) = 35*y**2 + 145*y - 29. Is r(-40) prime? False Suppose 10*o + 58169 = 197799. Is o composite? False Suppose 0 = -p + 3*b - 2*b - 1418, -5*p = b + 7108. Let s = 2602 + p. Is s prime? True Suppose -34*c + 5227 = -6163. Is c composite? True Suppose -3*b = -15159 - 32646. Suppose 0 = -5*p + b - 5140. Is p a prime number? False Let b = -1224 + 1897. Is b a composite number? False Let j(g) = 174*g**2 + 18*g - 79. Is j(7) composite? False Let t be 573/12 - 1/(-4). Suppose -n + t = n. Is (n/36)/((-2)/(-381)) a composite number? False Suppose 1779*q - 1
{ "pile_set_name": "DM Mathematics" }
*2 + 10*r + 5. Let t be h(-8). Let q(z) = -z**3 - 11*z**2 - 3. What is q(t)? -3 Let i be 36/(-10) - 4/10. Let u(g) = -2*g - 3. Suppose 0 = -2*s + 7 - 9. Let x(o) = -o. Let a(c) = s*u(c) - x(c). Calculate a(i). -9 Let l(u) = 0 + 31*u**2 - 6 + 2 - 29*u**2. Give l(-2). 4 Let w(b) = -2*b - 2. Suppose 0 = f + 5*l - 26, -3*f + 9 + 1 = -2*l. Suppose -9*k + f*k = 0. Let p be w(k). Let m(z) = z**2 + 6*z + 3. What is m(p)? -5 Let a(m) = -m**3 + 20*m**2 - 18*m - 35. Let j be a(19). Let b(o) = o**3 + 16*o**2 - 2*o - 9. Determine b(j). 23 Suppose 0 = -34*b + 33*b + 12. Let g(t) = -12 - b - t**3 + 20. Calculate g(0). -4 Let n(i) = i**2 + 5*i - 5. Let b be 4 + 0 - 0 - -2. Suppose 10*f - b*f + 24 = 0. Give n(f). 1 Let q(j) be the second derivative of 2/3*j**3 + 0 - 7/2*j**2 + 1/12*j**4 + 7*j. Determine q(-6). 5 Suppose -3*m + y - 4 = -4*y, -3*m - 13 = 4*y. Let o be m + (-2 - -4) + 4. Let r(c) = c + 1. Give r(o). 4 Let g be 16/72*(0 - -9). Let m(x) be the first derivative of 0*x + 1/2*x**g - 7. Give m(-3). -3 Let n(d) = -d**2 - 7*d + 10. Suppose -24*j = -12*j - 1056. Let k = -97 + j. What is n(k)? -8 Let w(l) = 7*l**2 - 9*l + 3. Let q(k) = 9*k**2 - 10*k + 3. Let d(v) = -4*q(v) + 5*w(v). What is d(-6)? -3 Let z(b) = -29*b**2 - 5*b + 3. Let j(u) = -7*u**2 - 1. Let v(f) = 4*j(f) - z(f). What is v(-5)? -7 Suppose 21 = -j - 31. Let f = j - -52. Let y(b) = b**2 - b + 16. Calculate y(f). 16 Let v(d) be the third derivative of -d**5/60 + 5*d**4/24 - d**3/6 - 2*d**2 - 14*d. Determine v(3). 5 Let m(d) = 2*d + 3 + 4*d - d. Suppose 0*a + a = 5*k + 33, k = -5. Let g be (2 - 0)/(a - 9). Give m(g). -7 Let o be 3 - (0/(-2) + -2). Let x(v) be the first derivative of v**4/4 - 4*v**3/3 - 5*v**2/2 + 5*v + 813. What is x(o)? 5 Let n(d) be the first derivative of d**4/4 + 17*d**3/3 + 16*d**2 + 31*d + 828. What is n(-15)? 1 Let y(p) = -847*p + 277*p + p**2 + 289*p + 282*p - p**3 - 2. What is y(0)? -2 Let x(s) = -s - 42 + 31 - 2*s. Determine x(-6). 7 Let z = -496 + 495. Let c(a) = 7*a**2 + 3*a + 2. Calculate c(z). 6 Let y(o) = 2*o**2 - 3*o - 1. Suppose -54 = 33*z - 219. Determine y(z). 34 Let h(k) be the first derivative of k**3/3 - k**2/2 - 6*k + 7. Suppose 31*v = 34*v. Calculate h(v). -6 Suppose -3*y = -g - 8, 7 + 3 = 2*y. Let t(v) = v**2 - 8*v + 21. Let b be t(4). Let s(p) = 0*p**2 - b - 7*p + 3*p**2 - 2*p**2 + 2. Calculate s(g). -3 Suppose -o + 7 = 12. Let v(c) = -6. Let g(a) = a + 5. Let k(r) = o*v(r) - 6*g(r). What is k(2)? -12 Suppose 10*r - 5544 = -5564. Let y(k) = k + 2. Calculate y(r). 0 Suppose -i = 1, 14 - 12 = 3*z - 5*i. Let q(r) = 25*r. Determine q(z). -25 Let v(p) = -p**2 - 9*p. Let h(i) = -i**3 + 9*i**2 - 21*i + 8. Let l be h(6). What is v(l)? -10 Let q(p) = -p**2 + 5*p + 7. Let c = 4 - 6. Let f be c - 1 - (1 - 0). Let u(b) = -4*b - 11. Let y be u(f). Calculate q(y). 7 Let h(n) = -2*n**2 - 9*n + 14. Let f be h(-5). Let w(a) = a**3 - 8*a**2 - 7*a - 16. Determine w(f). 2 Let g(k) = k**2 - 5*k + 6. Let t(o) = o**3 + 6*o**2 + 2*o - 9. Let d be t(-5). Let m = 11 - d. Calculate g(m). 6 Let y = 164 + -263. Let n be (-315)/y + (-4)/22. Let q(h) = -h**3 + 3*h**2 + 2. What is q(n)? 2 Suppose -5*r - h = -17, 0 = -3*r - 2*r + 3*h + 9. Suppose -3 = -r*s + 5*g, 5*s - 2*g = 3*g - 5. Let q(x) = x + 2. Determine q(s). -2 Let z(f) be the first derivative of f**4/4 + f**3/3 + f**2/2 - 2*f + 7. Let g = 24 + -24. What is z(g)? -2 Let w be (1 - -3) + 35 + -1. Let r = w + -36. Suppose 2*l = 2*b, r*l = 7*l + 2*b. Let s(k) = k**2 - k + 1. What is s(l)? 1 Let i(w) = -w - 1. Let z(j) = -j**2 + j + 1. Let x(h) = 6*h**2 + 5*h + 3. Let n(u) = -x(u) + 2*z(u). Let s be n(-1). Calculate i(s). 5 Let u(c) be the first derivative of -c**3/3 + 5*c**2 - 17*c + 99. Give u(7). 4 Let j(d) = -d**3 + 16*d**2 - d + 39. Let p be j(16). Suppose -70 = -p*i + 9*i. Let h(v) = -6*v + 5. What is h(i)? -25 Suppose 21*z + 14*z = 560. Let y(j) = j**2 - 12*j - 68. Calculate y(z). -4 Let x = -5 - -7. Let c(i) = -i + 4. Let o be c(x). Let t(p) = -6*p**2 + 26*p + 9. Let l(v) = -v**2 + 5*v + 2. Let h(d) = o*t(d) - 11*l(d). Determine h(-4). -8 Let y(d) = d - 4. Let j(i) = 5*i - 2. Suppose 3*m - 24 = -21. Let l be j(m). Suppose -4 = l*o - 13. Determine y(o). -1 Let p(r) be the second derivative of -r**4/4 - 7*r**3/6 - 4*r. Let l(m) = 16*m**2 + 34*m - 1. Let j(d) = -2*l(d) - 11*p(d). What is j(-4)? -18 Let p(u) = -u**2 - 4*u - 1. Let d be p(-5). Let y(j) = -4*j - 9. Determine y(d). 15 Suppose -4*p - 3*x = -6, -5*p = x - 3 - 10. Let c(g) be the first derivative of -g**3/3 + 7*g**2/2 - 3*g - 1. Determine c(p). 9 Let u(g) = -7*g - 3. Let c be u(0). Let q be (-1)/(c + 2)*-1. Let i(t) = 17*t**3 + t + 1. Give i(q). -17 Suppose 0 = -3*v + v - 10. Let g(x) = 5*x**2 - 42*x + 22. Let h(i) = -i**2 + 10*i - 5. Let p(w) = 2*g(w) + 9*h(w). Calculate p(v). -6 Let n(p) = -2*p**2 + 1 - p**3 - p + 0 + 0. Let r be n(-2). Let y(w) = -2486*w**2 + w**3 + 4*w - w**3 + w**3 + 2481*w**2. Determine y(r). -6 Let b = 1230 + -1227. Let r(l) be the third derivative of 3/2*l**b + 0 + 1/24*l**4 + 0*l - 5*l**2. What is r(-6)? 3 Let b(h) = h**3 - 9*h**2 + 6*h + 2. Let r be 1/2*10 + 3. Let u be b(r). Let y be u/35 + (-4)/(-10). Let q(w) = -w + 6. Give q(y). 6 Let m(h) be the first derivative of h**4/4 + 7*h**3/3 - 5*h**2 - h - 350. Determine m(-8). 15 Let k(x) = -14*x + 1. Let m(c) = 14*c - 1. Let j(z) = 4*k(z) + 5*m(z). Let o = -8 + 11. Suppose -3*u = o*f - 9, -5*f - u - u = -3. Calculate j(f). -15 Let q(i) = -2*i. Let n(b) = b - 4. Let h(d) = n(d) + q(d). Suppose 4*w = 8*w. Determine h(w). -4 Let r(m) = -m. Let p = 12 - 13. Let y(v) = v**2 - 2*v. Let x(g) = p*y(g) - 2*r(g). What is x(2)? 4 Let h be 0 - (0/1 + -2). Let p(w) be the second derivative of -w**5/120 + w**3/3 - 18*w. Let i(k) be the second derivative of p(k). Give i(h). -2 Let z(d) be the second derivative of -1/6*d**3 + 10*d + 0 + 5*d**2. What is z(6)? 4 Let b be 6 + -5 - (0 - 25/5). Let x(f) = -f**3 + 6*f**2 - 5*f + 9. Determine x(b). -21 Suppose 4*t = d - t - 7, 3*d - t = 21. Let a(y) = y**3 - 5*y**2 - 19*y + 34. Let p be a(d). Let v(q) = 2*q. What is v(p)? -2 Let t(u) = 13*u**2 - 2*u + 1. Suppose f = 26*f - 25. Determine t(f). 12 Let y(b) be the second derivative of -b**4/12 + 5*b**3/3 + 7*b**2/2 - 24*b. Give y(10). 7 Suppose -4*k + 37 = -3*b, 2*b + 2*k + 28 = 3*k. Let c = b - -13. Let t(q) = -q - 1. Let u(i) = i**2 + 9*i + 10. Let w(p) = c*t(p) - u(p). Calculate w(-6). -2 Let a be 0 - 50/((-15)/3). Suppose -9*p + 11*p - a = 0. Let x(j) = j**3 - 4*j**2 - 7*j + 1. Calculate x(p). -9 Let n(m) = -m**3 - 4*m**2 + 2*m - 5. Let q(f) = -5*f**3 - 15*f**2 + 9*f - 19. Let i(v) = 9*n(v) - 2*q(v). Calculate i(6). -7 Let s(t) = 12 - 9 - 5*t**2 + t**3 + 3*t - 4. Give s(3). -10 Let r be -1*2*(2 - 3). Let z(b) = -9 - r*b + 2 - 4*b - b**2. Suppose c + 2*c + 4*q + 11 = 0, -2*c + 3*q = 13. Calculate z(c). -2 Let p(k) = -5*k**2 + 7*k - 1. Let o(d) = 4*d**2 - 7*d + 2. Suppose -8*g - 18 = -2*g. Let l(s) = g*p(s) - 4*o(s). What is l(6)? 1 Let m(c) = -5*c**2 + 3*c - 2. Let p(x) = -x**2 - x + 1. Let u(k) = -m(k) - 2*p(k). Let i = 52 - 53. Determine u(i). 8 Let a = -7 + 10. Let r(y) = -y**2 + 3*y - 4. What is r(a)? -4 Let h(y) = 4*y - 5. Suppose 11*q - 71*q = 120. Give h(q). -13 Let c(a) = 6*a**2 - 3*a + 2. Let w(h) = -5*h**2 + 4*h - 3. Let f(d) = 4*c(d) + 3*w(d). Let s = -273 - -274. Let k be ((-2)/1 + s)/(22 - 23). What is f(k)? 8 Let g(s) = -s**3 - s**2 - s. Let u(z) = -5*z**3 - 2*z**2 - 5*z + 1. Let r(k) = 6*g(k) - u(k). Determine r(-3). -7 Let t(b) = 11*b**3 - 8*b**2 + 15*b + 4. Let x(u) = 13*u**3 - 9*u**2 + 17*u + 5. Let s(g) = -7*t(g) + 6*x(g). Determine s(2). 12 Let a(k) = -k**2 + 13*k - 14. Let g be a(13). Let o(u) = -26*u**2 + 6*u - 8. Let w(c) = 9*c**2 - 2*c + 3. Let d(i) = g*w(i) - 5*o(i). Determine d(2). 10 Let y(m) be the second derivative of m**5/20 + 3*m**4/4 + m**3 - m**2/2 + 113*m. Calculate y(-8). 15 Let x(n) = 5*n - 5 - n**2 + 0 + 0*n**2 + 3. Let w be 72/48 + (-5)/(-2). Calculate x(w). 2 Suppose v = 5*c - 16, v - 4*v - 4*c = -9. Suppose 0 = 3*q + 3*o + o + 1, -o - 19 = -3*q. Let w(l) = 1 + 2 - q*l - 4. Calculate w(v). 4 Let m(a) = a**3 + 6*a**2 - 3*a - 20. Let x = 178 + -184. What is m(x)? -2 Let b = -28 - -31. Let s(o) = 6*o**2 + 2*o**b + 4*o + 7 - o**3 - 13. Calculate s(-5). -1 Let b be 38/(-76)*
{ "pile_set_name": "DM Mathematics" }
*3 + 5*h**2 + 4. Let m be n(5). Suppose 4*x - 8*x = b, -m*x - 3*b = 0. Let y = 25 - x. Is y prime? False Let w(x) = -x**2 + 6*x - 2. Let j be w(6). Is (3 - 1 - j) + 27 prime? True Let l(w) = -10*w + 5. Suppose -2 = 2*q + 8. Is l(q) a prime number? False Suppose 0*o = 2*o - 438. Let u = o - 117. Is (5 - -1)*u/12 composite? True Let m be (-2 - -3)/(2/(-34)). Let q = 28 + m. Is q composite? False Let r(v) = -v**3 - 2*v**2 + 5*v - 2. Let s be r(-4). Let m be 414/s + (-4)/10. Let j = m + -22. Is j a composite number? False Let b(x) = 20 - x - 19 + 19 + 13. Is b(0) a prime number? False Suppose 4*l - 584 = 588. Is l prime? True Let v(f) = -2*f**3 + f**2 - f - 5. Is v(-7) composite? True Suppose 0 = -7*x - 3377 + 12904. Is x a prime number? True Suppose 276 = -4*y - 0*p - 4*p, -3*p + 3 = 0. Let u = y - -128. Let o = 137 - u. Is o a prime number? True Suppose -2*l = -m - 426, -3*m = -2*m - 4. Is l a composite number? True Let t(q) = 5*q**2 - 2*q - 1. Let w be 120/(-28) - 4/(-14). Is t(w) composite? True Let l be 2 - 3 - -4 - -57. Is 15/l - (-294)/8 a prime number? True Let z = -232 - -567. Is z a prime number? False Suppose 0 = -2*k + 4*b + 4254, 6*b - 4289 = -2*k + 3*b. Is k composite? False Let d(y) = -y**3 + 20*y**2 - 16*y + 21. Is d(18) prime? False Suppose -z - 3*z = 4*p, -z + 9 = -2*p. Let f be 2*z/(-12)*-24. Is (f/(-16))/((-1)/12) prime? False Let w(x) = x**3 - 5*x**2 - 6*x + 5. Let p be w(6). Suppose 1 = p*l - 14. Suppose k - l*j - 31 = -k, -4*j + 43 = 5*k. Is k prime? True Suppose 31 = 3*s + 13. Let q = 8 - s. Is (-89)/(2 - (5 - q)) prime? True Suppose -m - 10 = -5*o, -2*m + 4*o - 14 = -6. Is 57 - -1*(m + 1) a prime number? False Is (458/4)/((-4)/(-56)) prime? False Let k(h) = 120*h - 23. Is k(15) composite? False Let b = -99 - -210. Suppose -1181 + b = -2*v. Is v a composite number? True Let m(x) = 73*x**2 - 4*x + 1. Is m(-2) a composite number? True Let y(k) = 4*k - 1. Is y(8) prime? True Suppose 11*r = 6*r + 635. Is r composite? False Suppose -2*j + 5*j + 303 = 0. Suppose 2*v + 112 = -2*f, -46 = f - 0*f - 4*v. Let p = f - j. Is p composite? False Suppose 3*x = 5*v + 26, 3*x + 2*v + 2 = -0*v. Let j be ((-2)/(-3))/((-10)/(-45)). Suppose -j*f + 55 = x*f. Is f a composite number? False Let d(u) = -u**2 - 6*u + 5. Let k be d(-6). Suppose b - 3*o = 127, 3*b - k*o - 310 = 71. Is b a prime number? True Suppose -177 = -4*f + f. Is f prime? True Let x(b) be the second derivative of 3*b**4/4 + 5*b**3/3 - 3*b**2/2 + 2*b. Let z be x(-7). Suppose 0 = 3*j - z + 101. Is j prime? True Let y(c) = -2*c + 4*c - 12 + 5*c - 5*c. Let q be y(8). Suppose -3*n = 2*m - 239, q*m + 5*n - 229 = 2*m. Is m a prime number? True Let k(s) = -s**2 - 5*s. Let f be k(-3). Let j = f - 4. Suppose j*m - 294 = -56. Is m composite? True Is (3 + -2)/(2/62) a prime number? True Suppose -16 = 4*g, 2651 + 1088 = 3*n + 5*g. Is n composite? True Let q(c) = 27*c**2 - 4*c - 1. Is q(-3) a prime number? False Let c(r) = -4*r + 7. Is c(-9) prime? True Let a(h) = h**2 - 10*h - 1. Let s be a(7). Let f = 75 + s. Is f a composite number? False Suppose -27 = -j + 94. Is j composite? True Let f(u) = u**2 - 16*u + 25. Is f(-20) a composite number? True Is 295 - (-2)/(-6)*0 prime? False Suppose 3*y - 11 = 3*a - 4*a, -y + 5*a = -9. Suppose -94 = y*u + 278. Let o = u - -170. Is o a prime number? False Let c(n) be the third derivative of -7*n**4/12 - n**3/6 + n**2. Suppose 2*i + 12 = 2. Is c(i) prime? False Let x(v) = -14*v**3 - 1. Let g = -4 + 3. Let f be g + 0*(-2)/4. Is x(f) a prime number? True Let u(w) = -22*w + 7. Suppose -5*b + 4*t - 35 = 0, -5*b - 14 = -3*b + 4*t. Let x be u(b). Let m = -102 + x. Is m composite? False Let p(v) = 18 + 3 + 12*v - 4. Is p(6) a composite number? False Let x(u) = -4*u**2 - 5*u + 42. Let h(l) = -2*l**2 - 3*l + 21. Let k(p) = -7*h(p) + 3*x(p). Is k(-10) prime? False Suppose 5*l + 5*m + 27 - 277 = 0, 4*m = -12. Is l a prime number? True Let f = -573 - -311. Let j be -1*438 - (4 - 3). Let b = f - j. Is b composite? True Let o(w) = -3*w**2 + 6*w - 6. Let z be o(7). Let n = z + 214. Suppose -3*i + n = 5*f, -3*f + i + i + 77 = 0. Is f a composite number? False Let b(y) be the second derivative of -21*y**3 - 7*y**2/2 + y. Is b(-5) a composite number? True Let d = -83 - -220. Let l = d + -94. Is l a prime number? True Suppose 0*f = f - 127. Is f composite? False Let d be ((-3)/2)/((-12)/272). Suppose 8 = 2*p - 2*u, 4*u - d = -p - 15. Is p prime? True Let u = 6 + 1. Is u a composite number? False Suppose 5944 - 14814 = -2*k + m, 0 = -4*k + 5*m + 17740. Is k a prime number? False Suppose 0*k + k = 4*w - 8685, 3*w + 2*k - 6511 = 0. Is w a prime number? False Suppose -6*k = -k - 5. Let t(q) = 5*q**2 + 2*q**2 + k + 3*q**2. Is t(4) prime? False Is 4484/10 + (-1 - 24/(-15)) a composite number? False Suppose 4*g - 34 = 42. Is g a composite number? False Let n(o) = 3*o**3 + o**2 - o + 1. Let p be n(1). Suppose -r - 3 = -2*r. Suppose r*d = -4*t + 8*d + 342, p*t + 5*d = 322. Is t a prime number? True Suppose 4*z - 10729 = -3*x, -x + 2*z + 14276 = 3*x. Is x a prime number? True Let z(v) = v**3 - 3*v**2 - 3*v - 4. Let l be z(4). Suppose 0 = -l*x - 2*x - 6. Is (3 + 1)*x/(-4) a prime number? True Let r(u) = u**3 - 3*u**2 + 10*u - 1. Is r(7) a prime number? False Is 50610/16 - (-1)/(-8) a prime number? True Let k(q) = 8*q**2 + 2*q + 3. Let h be k(4). Suppose 5*u - 1259 = -3*x - 259, -5*u + 5*x + 960 = 0. Let m = u - h. Is m a composite number? True Let r(l) = -2*l**3 - 10*l**2 - 2*l + 11. Is r(-9) prime? True Suppose 0 = 6*n - n - 1825. Is n a prime number? False Suppose -4*i + 6 + 46 = 0. Let h be (-7)/2*(-1 - 1). Let j = i - h. Is j a composite number? True Let i = 598 - 387. Is i a composite number? False Suppose 3*i - 756 = -2*u + 7*u, 502 = 2*i - 4*u. Is i composite? False Suppose 157 = -4*l + 5*l. Is l a prime number? True Let f be (37 - -1)*11/22. Suppose 4 = -2*b - 2*b + 3*r, -r + 14 = 5*b. Suppose -f = -h + b. Is h a composite number? True Let a = 12115 - 7698. Is a a composite number? True Let s(n) = -n**2 - 8*n - 1. Let o be s(-8). Is 53 - (o - -1)/3 a composite number? False Let u(l) = 3*l**2 - 2*l - 2 + 3*l + l. Let c(x) = x**2 - 6*x + 4. Let j be c(4). Is u(j) a composite number? True Let g(h) = 4*h**2 - 4*h - 1. Is g(10) composite? False Let n(p) = p**2 + 12*p - 2. Is n(18) composite? True Suppose 3*b - b + 4 = 0, -2*p + 4*b = -126. Is p prime? True Suppose 0*z = f + 2*z - 10, f + 3*z = 13. Suppose -f*d = -5*d. Suppose d = -5*b - o + 219, 3*b - 117 = 5*o - 2*o. Is b composite? False Let v be 48*((-68)/12 + 3). Let a = v - -185. Is a composite? True Is (631/2)/(16/32) a composite number? False Suppose -4*a = -331 - 265. Is a a composite number? False Let o(u) = 154*u**2 - 4*u + 3. Is o(2) a prime number? False Suppose 4*y + 3*h - 3632 = 0, -1828 = -5*y - 5*h + 2707. Is y a prime number? True Suppose 2*d = 4*d + 2. Let x = 2 + d. Let g(z) = 13*z. Is g(x) a prime number? True Let r(o) = -115*o - 8. Is r(-3) a composite number? False Let a(z) = 13*z**2 - 3*z + 7. Is a(7) composite? True Let d(x) = x**3 + 5*x**2 - 2*x + 9. Is d(-5) composite? False Let d be (4/(-8))/((-1)/654). Suppose -3*z - 5*m + 224 = 0, d = 4*z - m + 2*m. Is z a composite number? False Let j(z) be the third derivative of 7*z**4/8 - 7*z**3/6 + 10*z**2. Suppose 11 = -5*c + 41. Is j(c) composite? True Suppose 31 = 5*c + 2*u, -4*u + 7 = 3*c - 20. Suppose -22 = c*o - 7. Is (o/(-4))/(4/16) prime? True Let h = -284 - -655. Is h prime? False Let f(z) = -3*z**2 + 18*z - 5. Let k(a) = 4*a**2 - 27*a + 8. Let n(l) = -7*f(l) - 5*k(l). Let p be (1 - 0)*-2*6. Is n(p) a prime number? True Let m(w) = 131*w**3 - w**2 + 2*w - 1. Is m(1) prime? True Suppose 5*w - 4*z = 2689, 4*w + z = -0*z + 2168. Is w composite? False Suppose -9 = -4*m + 7. Suppose y = -m*y + 50. Is y prime? False Suppose 2*o + 2*w = 70, -w - 24 = 5*o - 199. Is o a prime number? False Let t = -8 - 1. Suppose -3*n - 4 = 5*k, 0 = 2*k - 0*n - 2*n - 8. Let h = k - t. Is h prime? False Let z be (2/(-4))/((-2)/236). Let n = 14 + z. Let l = n - 14. Is l composite? False Suppose -2*v + 219 = -3*k, 4*k - 184 = -2*v + 14. Let h = -44 + 6. Let z = h + v. Is z prime? True Suppose -224*y + 2179 = -223*y. Is y a prime number? True Let n(b) = -4*b**2 + 6 + 5*b**2 - b - 11.
{ "pile_set_name": "DM Mathematics" }
+ (-3*k + 0*k + k)*(0*k - 2*k + 4*k)*(3*k**2 + k**2 - 5*k**2) to the form y*k**2 + h + q*k**4 + i*k**3 + o*k and give q. 10 Express 5*z + 4*z + 2*z + 6*z as k + c*z and give c. 17 Express (z**2 + z**2 - 3*z**2)*(-199*z**2 + 10 + 418*z**2 - 210*z**2 + 2*z) as o*z**4 + q*z + r + u*z**3 + a*z**2 and give o. -9 Express ((0*h - 4*h + 2*h)*(-2 + 1 + 2) + 3*h - 5*h + h)*(-2*h**2 + 6*h**2 - 2*h**2) in the form j + m*h + u*h**2 + y*h**3 and give m. 0 Express 5 - 3 + 19*k - 5 as v + z*k and give z. 19 Express -3*b**2 - 4*b**2 + b**2 + 6 + 5*b**2 as t*b**2 + k + u*b and give k. 6 Rearrange 22*d**3 + 82*d**2 - 82*d**2 + (0*d**3 + 3*d**3 - 5*d**3)*(2 - 4 + 4) to c*d**2 + a + u*d**3 + h*d and give u. 18 Express -m + 18 - 22 - m + m**3 as v*m**2 + y + g*m**3 + r*m and give r. -2 Express (-9648 + 9648 - 44*w)*(-2*w**3 - 4*w**3 + 4*w**3) + 2*w**4 + w - w as u*w**4 + k*w + y + h*w**3 + a*w**2 and give u. 90 Rearrange (4*d**2 - 3*d**2 - 2*d**2)*(2*d + 2 - 2) - 16*d + 11*d + 5*d**2 - d**3 + 4*d to m*d**2 + p + l*d**3 + b*d and give l. -3 Rearrange 2*h - 4*h + h + (4 - 1 - 2)*(-2 + 3 - 2)*(0*h + 4*h - 3*h) to the form o + x*h and give x. -2 Rearrange (2 + 2 - 3)*(1 - w - 1)*(2*w + 3*w - 7*w) to h*w**2 + y + p*w and give h. 2 Rearrange -5*r**2 - 3*r**2 - 4*r**2 + 6*r**2 to the form y*r + z + k*r**2 and give k. -6 Express -33*c**3 - c**4 - 20*c**2 + 31*c**3 + 2*c**4 as f*c**3 + n + l*c + t*c**4 + u*c**2 and give f. -2 Express 0 + 433*f**2 + 0 - 2*f - 420*f**2 in the form d + s*f**2 + y*f and give y. -2 Express n**2 + n**2 - 2*n**3 - 2 + 14*n**3 + 0*n**2 as l + h*n**3 + v*n**2 + r*n and give v. 2 Rearrange 7 - 2 - 41*x - 5 to the form z*x + c and give z. -41 Express (-2*b**2 - 12 - 3 + 3)*(-2*b - b + 2*b) in the form p*b**2 + v*b + a*b**3 + t and give a. 2 Rearrange 0*z + 2*z**4 - 2*z - 2 + 5*z - z**2 - 6*z to x*z + l + i*z**4 + p*z**2 + o*z**3 and give l. -2 Rearrange -2 - 46*m**2 + 44*m**2 + m**3 - 3*m**3 to b*m + c*m**3 + g*m**2 + v and give g. -2 Express -5 - 17 - 2*a - 10 as k + j*a and give j. -2 Rearrange 2*t + 0*t + t - 7*t to the form j + r*t and give r. -4 Express z**4 - 2*z**3 - 3*z - 3*z**4 - 104 + 106 in the form x*z**2 + a + d*z + f*z**4 + i*z**3 and give a. 2 Rearrange g**4 + 10*g**4 - 6*g**4 - 2*g - 2 + g**3 + 2*g**2 - 3*g**4 to the form t*g**4 + r*g + f + s*g**2 + d*g**3 and give t. 2 Rearrange (-4*v + 3*v + 3*v)*(-4 + 1 + 1) + 0*v + 3*v - v + (-1 + v + 1)*(2 - 4 + 1) + 0 + 0 + 2*v + (-3 + 5 - 4)*(3*v - 5*v - 5*v) to q + d*v and give d. 13 Rearrange 74*d**2 + 94*d**2 - 147*d**2 + (3*d - 3*d - 2*d)*(0 + 0 - 2*d) - d**2 - 3 + 3 to q + v*d**2 + k*d and give v. 24 Express -2*b**3 + 4*b**3 - 3*b**3 - 2*b**4 - 4*b**2 + 5*b**2 + 2 as h*b + j + o*b**2 + n*b**4 + k*b**3 and give o. 1 Rearrange -8*q**4 + 17*q**3 - 2*q**2 - 16*q**3 + 10 - 2*q - 10 to u*q + t*q**2 + k*q**3 + d*q**4 + c and give u. -2 Express (7 - 3*f + 0 + 0)*(-1 - 2 - 4)*(1 + 0 + 1) as o + t*f and give o. -98 Rearrange (-t + 3*t - t)*(0*t**2 + 0*t**2 + 2*t**2) + (21*t**2 - 16*t**2 + 6*t**2)*(4*t + 0*t - 3*t) to h + i*t**3 + n*t + z*t**2 and give i. 13 Rearrange (-2 + 0 + 3)*(o + 3*o - 2*o)*(70 - 109 + 78) to v + w*o and give v. 0 Express 2*k**2 + 0*k**2 - 4*k**2 + (-6*k + 4*k + 3*k)*(78*k - 28*k + 63*k) in the form u*k + r + j*k**2 and give j. 111 Express -2*u - 6 + 2*u**4 + 7 + 4*u - 4*u**3 in the form c*u**4 + h*u**3 + y*u**2 + q*u + o and give h. -4 Express (0*u**2 + 0*u**2 - u**2)*(4*u**2 - 3*u - 4*u**2 - u**2 + 4) in the form x*u**2 + m*u + j + i*u**4 + c*u**3 and give x. -4 Express (0*d**3 - 3*d**3 + d**3)*(d + d - 4*d) - 2*d**4 - d**3 + d**3 + (1 - d**2 - 1)*(-d + d**2 + d) as q + a*d**2 + z*d + k*d**3 + s*d**4 and give s. 1 Rearrange (-2*q**4 + 4*q - 4*q)*(-10 + 1 + 1) to l + u*q**4 + s*q**2 + v*q**3 + b*q and give u. 16 Express (1 - 1 - 2*x**2)*(8 + 39 - 11) as n + k*x + l*x**2 and give l. -72 Rearrange (2*s - 3 + 3)*(4*s + 107 - 107)*(-4 + 3*s + 4) + 2*s - 2*s + s**3 to the form d + r*s + o*s**2 + p*s**3 and give p. 25 Rearrange (-3 + 10 - 3)*(-4 + 4 + o) to h + s*o and give h. 0 Express 20 - 20 + 9*g in the form j + m*g and give m. 9 Rearrange -5 - 2 - 2*q + 1 - 7 to the form k*q + i and give i. -13 Rearrange (-4 - 2 + 4 + (0 + 3 - 2)*(0 - 2 + 3))*(0*l**2 + 3*l**2 - l**2) + l**2 - l**2 - 2*l**2 to i + s*l**2 + d*l and give s. -4 Rearrange -1805 + 903 - 2*n**2 + 902 to r + g*n**2 + k*n and give g. -2 Express ((2 - 5 + 1)*(-1 + 4 - 4) + 0 - 2 + 3)*(5*y + 2*y - y)*(1 + 0 + 0) in the form g + f*y and give f. 18 Express (-172 + 172 - r**2)*(-2*r + r - 5*r) as v + t*r**3 + a*r + w*r**2 and give t. 6 Express (k - 2*k - k)*(3*k + k + 3*k) + (1 - 1 - 2*k)*(-3*k + k + k) in the form l*k**2 + d*k + n and give l. -12 Express (-3*s + 6*s - 2*s)*(5 - 3 - 4) + 2*s - 2*s + s + (-2 + 3 + 1)*(-2*s - 4 + 4) - 3*s + 2*s + 3*s as w + r*s and give w. 0 Rearrange -6*z + 5*z + 8*z + (z - z + 2*z)*(4 - 2 - 3) - 2 + 2 - z + 3*z - 5*z + 4*z - z + 0*z - z to the form t*z + f and give t. 4 Rearrange (2*t - 4*t + t)*(2*t + 1 - 1 + 2) to v*t**2 + x + w*t and give v. -2 Express 2 - 10*d + 3*d**3 + d**2 + 10*d in the form m*d**3 + t + y*d + w*d**2 and give w. 1 Rearrange d**2 + 0 - d**4 - 8 - 2 + d**3 + 0 to r + k*d**2 + b*d + g*d**4 + i*d**3 and give k. 1 Express -8*d**3 - d**3 + 2*d - 1 + 5*d**3 + d**4 - 3*d**4 as k*d**3 + c*d**2 + l*d**4 + z*d + t and give c. 0 Rearrange (-23*x**4 + 18 - 18)*(5 + 1 - 4) to the form j + z*x**2 + h*x**3 + m*x**4 + v*x and give m. -46 Express (5*w - 2*w - 2*w)*(-2 + 2 - 2*w + (-7 - 2 + 3)*(3*w + 3*w - 4*w)) as f*w + k + z*w**2 and give z. -14 Rearrange 6*b**2 + 64*b**2 - 14*b**2 to the form h + i*b + j*b**2 and give j. 56 Express 2 - 7 + 5 + 26*u in the form h + s*u and give s. 26 Rearrange (9*k**2 - 71*k**2 - 32*k**2)*(-2*k**2 - 2*k**2 + 7*k**2) to l*k + m*k**2 + v*k**4 + x + s*k**3 and give v. -282 Express (-5*f**3 + 2*f**4 + 4*f**3 - f**4)*(4 + 0 - 6) in the form a + o*f**4 + q*f**3 + m*f**2 + d*f and give o. -2 Rearrange -8*s**3 - 40*s**4 - 1 - 1 + 2*s + 42*s**4 to the form o*s**4 + z*s**3 + v*s**2 + d*s + u and give u. -2 Rearrange 5*q**4 + q**4 + 2*q**2 - 4 + q**4 - 4*q**4 to v + p*q**3 + b*q**4 + c*q**2 + t*q and give c. 2 Rearrange 69 + 2*k**2 + k**3 - 153 + 79 to the form b*k**3 + m*k**2 + u + x*k and give m. 2 Express -16 + 10 + 7*x**2 + 16 in the form d*x + o*x**2 + a and give a. 10 Rearrange (8*v + 4*v - 8*v)*(2 + 2 - 5)*(-2 - v**2 + 2 + (-v**2 + 0*v**2 - v**2)*(-1 - 1 + 1) + 1 + 2*v**2 - 1) to g*v**2 + m*v + b + o*v**3 and give o. -12 Express 285 - 142 + 2*t - 143 + 11*t**2 as f*t + n*t**2 + a and give n. 11 Rearrange -4*i**3 + 0*i + 0*i - 5*i**2 + 8*i**2 to the form y + x*i**3 + s*i + t*i**2 and give x. -4 Express 28*k - 13*k + 2*k**3 + 2 - 4*k**3 in the form c*k**3 + i + s*k + w*k**2 and give s. 15 Express -4*y**2 + 3*y**3 + 0*y**2 - 2*y**3 - y + 5*y**3 as s*y + i + j*y**3 + g*y**2 and give g. -4 Express (-x**2 - 3*x**2 + 5*x**2)*(-4*x**2 - 2*x**2 - 7*x**2) + 3*x**4 + 2*x**4 - 4*x**4 as y*x + j + v*x**3 + o*x**2 + q*x**4 and give q. -12 Rearrange (v**3 + v**3 - 3*v**3)*(-1 + 3 - 1)*(v + 1 - 1) to x + l*v**2 + a*v**4 + t*v**3 + h*v and give t. 0 Rearrange -4*f**3 - 1 + 5*f**3 - f**3 + 9*f**3 to h*f + u*f**2 + l*f**3 + s and give l. 9 Rearrange 8*g**3 - 1 - 10*g**3 + 5*g**3 + 3*g**3 - g + 2*g**4 to the form j*g**2 + c*g**4 + w*g + n + u*g**3 and give n. -1 Express -4*h - 5*h**3 + 10*h**3 - 2*h**3 in the form o*h + u*h**3 + q + l*h**2 and give u. 3 Rearrange (3 + k**2 - 3)*(-k**2 - k**2 + 3*k**2) + 1 + 2*k**4 - 1 + 22 + 5*k**4 - 22 to the form h*k + j*k**4 + w + b*k**3 + p*k**2 and give j. 8 Rearrange -d**2 + 7 - 2*d + 14*d**4 - 17*d**4 - 5 to q*d**3 + k*d**2 + i + s*d**4 + j*d and give s. -3 Express (-3 + 3 + 2*b)*(-1 + 1 - 2)*(2*b**2 + b**2 - 2*b**2) as n*b + a*b**3 + m*b**2 + v and give a. -4 Express (0 + 2 - 1)*(1 - 3 + 0)*(-8*m - 7*m - 2*m) as z + p*m and give p. 34 Express 23*i**2 + 2*i**2 + 20*i**2 as a*i + r*i**2 + q and give r. 45 Rearrange -11*p**3 + 0*p - p**3 - 3*p**4 + 2*p + 7*p**3 to s*p**3 + u*p**2 + k + n*p + a*p**4 and give s. -5 Rearrange 0*s**2 - 4*s**2 + 2*s**2 + 132 - 119 to v + j*s + g*s**2 and give v. 13 Express 0*t + 6*t - 4*t + 0*t + 2*t - 4*t + (t + 2*t - t)*(3 - 4 + 2) - 2*t + 3*t + 0*t + 0 - 5*t + 0 in the form h*t + g and give h. -2 Rear
{ "pile_set_name": "DM Mathematics" }
/9? -0.2 Let n = 1174 - 1163. Let u(x) = -x**3 + x**2 - x - 8. Let l be u(0). Let o = l + n. What is the nearest to -0.1 in 5, 1, o? 1 Let t = -47 + 59. Suppose 0*s = 4*s - t. What is the closest to -0.1 in s, -8, -2/15? -2/15 Let z be 1/2 - 0/(-1). Let u = 3.734 + -2.734. What is the closest to 0 in z, u, 3? z Let g be (10 - -11)/(-3) + 4. Let h(n) = n - 2. Let b be h(6). Suppose -b*m + 6 = 5*l - 9, -2*m = 3*l - 7. What is the closest to l in 4/7, g, -3/8? -3/8 Let m = -7.322 - -7.4. Let g = m + -0.178. What is the nearest to g in -0.08, -0.4, -1? -0.08 Let f = -1.76 - -1.66. Which is the closest to 3/7? (a) f (b) 0.6 (c) 0.1 b Let g = 5 + -3. Let b be (-3)/15 + (-436)/20. Let x = b + 108/5. What is the nearest to -1 in g, -5, x? x Let u = 71 - 120. Let q = u + 34. Let g = q - -14. What is the closest to g in 0, -0.5, -2/11? -0.5 Let u be (-3 - (-36)/10)/((-27)/(-30)). What is the nearest to -3 in 2, 2/11, u? 2/11 Let k be 20/(-315) + (-16)/72. What is the nearest to 2 in -5, k, -1/4? -1/4 Suppose 21*m + 83 = -22. What is the nearest to 0 in -0.38, m, -0.3? -0.3 Let m be 3/((-45)/(-55)) - 2. What is the closest to 1/2 in 5, 37, m? m Let t = 1.76 + -1.76. Which is the closest to -5? (a) 0.2 (b) t (c) -0.3 c Let o = 669 + -668.9. What is the nearest to o in 0.065, -0.5, 4? 0.065 Let s = -5753/9 + 639. Let g = -3 + 3.3. What is the closest to 5 in s, 0.2, g? g Let w = 19 + -92/5. Let d be (-12)/9*(-21)/70. What is the closest to 2/5 in w, d, -5? d Let k = -44 + 35. Let l = k + 9.1. Which is the closest to l? (a) -0.5 (b) 4 (c) 5 a Let c = -0.5 - -1. Let w = -4.087 + 0.087. Let r = -4.1 - w. What is the nearest to r in c, -2, 4? c Let t = 88 - 84. Let z = -1.3 - -0.3. Let h = t + z. Which is the nearest to 2/3? (a) -0.5 (b) -0.3 (c) h b Let w = 15/64 + 1/64. Which is the nearest to -1.1? (a) w (b) 1 (c) 0.16 c Let q = -5.2 - -5.2. Let t = 8 - 18. Let c be -2*(3 - (-28)/t). What is the nearest to q in c, 3, 1/2? c Let k = 16 - 49/3. Let t(r) be the third derivative of r**4/24 - 13*r**3/3 + 9*r**2. Let m be t(19). What is the nearest to k in m, 3, -3? -3 Suppose -4*l = -20, 4 = 4*p + 2*l + 2. Which is the nearest to p? (a) -0.1 (b) 0.5 (c) -2 (d) 0.3 c Let w = -5462 - -5456. Let z = 0 + -0.4. Which is the nearest to w? (a) z (b) 0.2 (c) -4/7 c Let t = 1 - 3. Let x = -1.6 + 1.9. Which is the nearest to t? (a) x (b) 2 (c) 0 c Let w be 15/(-20)*24/27. Let g be (-3)/(-30)*(10 - 8). What is the closest to w in g, -2, -2/3? -2/3 Let m = 45 + -10. Let r = -21 + m. Let s = 100/7 - r. What is the closest to -1/4 in 2, s, -4? s Let t = 62.9 + -45. Let m = -18 + t. Which is the closest to m? (a) 1 (b) 0.3 (c) 5 b Let m = -0.36 - -0.86. Suppose 0 = 3*h + 23 - 17. What is the closest to h in m, -2/9, -0.03? -2/9 Suppose -j = 6*j - 35. What is the nearest to -4 in -0.3, j, -5? -5 Suppose 0 = -9*x + 12*x. Suppose -3*y - 27 = -2*l - l, x = l - 2*y - 13. Which is the nearest to -1? (a) l (b) -2/7 (c) 0 b Let w be 2/8 - (-10)/(-8). Let r be (-34)/6 - (-1)/(-3). Let m be r/12 + 57/(-30) + 2. Which is the nearest to m? (a) 5 (b) w (c) 2 b Let x = -4.903 + -0.097. Which is the nearest to -8/13? (a) x (b) -0.3 (c) -2 b Let m = -0.9 - -0.95. Let o = 3.05 - m. Let i = -10 + 10. Which is the closest to i? (a) 0 (b) o (c) -1 a Let j = -3 - -2. Suppose -32 = 7*g - 11*g. Let o be (j/3)/(4/g). Which is the nearest to -1? (a) -3 (b) o (c) -0.1 b Let u be (-2005)/140 + (-2)/8. Let d = -317/28 - u. Let a = -7/2 + d. What is the nearest to a in -2/11, 3, -2? -2/11 Let v = -899 + 895. Which is the closest to -0.11? (a) -0.2 (b) 4 (c) 0.5 (d) v a Let h = 20 - 21. Let q be (2 + -4 + 8)*(-1)/(-10). What is the closest to 0.2 in q, -2/17, h? -2/17 Suppose -12 = -4*p + 10*p. Suppose 0 = -2*w + 4*d + 8 - 28, -14 = -w - 4*d. Let k = p - w. Which is the closest to 0.1? (a) 2 (b) 1/11 (c) k b Let a = -37 + 86. Let f = 47 - a. What is the closest to 1/2 in f, -5, -1/8? -1/8 Let u = 66.93 + 10.37. Let d = u + -77. Which is the nearest to 1? (a) -5 (b) 1 (c) d b Let r = -0.81 + -0.09. Let q = -1.1 - r. Suppose 4*p - 4*l - 8 = 0, -4*l - 17 - 3 = 2*p. Which is the nearest to q? (a) -0.2 (b) p (c) -0.4 a Let d = -1423 + 1427. Which is the closest to d? (a) 2 (b) 5 (c) 2/5 b Let d = -0.007 - -0.387. Let q = d - -0.02. What is the closest to 0 in q, 5/2, 0.2? 0.2 Let j = -49.5 - -49. What is the nearest to -0.1 in j, -13, -5, 5? j Let y(h) = -h**3 - 2 - h + 0*h - 3*h**2 - h. Let v be y(-3). Suppose -2 = -t - v. What is the nearest to -1 in -1/5, t, -3? -1/5 Let r = -634 + 633.9. Let w = 0.2 - 0. Which is the closest to 2? (a) 0.09 (b) r (c) w c Let h be (-824)/1245 + (-8)/(-12). Let l = -816/2905 - h. Let s = -590/1029 - -2/1029. What is the closest to l in -0.2, 4, s? -0.2 Let r = -282.09 - -282. Which is the closest to 0? (a) 4 (b) r (c) -2/7 b Let b = 5 - 11. Let j be b/261*79/8. Let t = j - 2/87. What is the nearest to -0.1 in t, 0.2, 5? t Let q = 15 - -147. Let l = q - 157. Let i = 9.99 + 0.01. What is the nearest to 0.1 in l, i, -1? -1 Let d = 87.95 + -89. Let v = d + 0.85. What is the closest to v in 1, 2/3, 6/7? 2/3 Let y be (-3 - 0)*4/(-30). What is the nearest to y in -2/3, -7, -0.5? -0.5 Suppose 2*h + 6 = -i, -8 = i - 0*h + 4*h. Let g be (1 + 19)*(-40)/(-50). Let l be 2 + (-5)/38*g. Which is the closest to -1? (a) 0.4 (b) l (c) i b Let w be (-292)/(-73) - (7/1 - 3). Let q = -0.1 + 0.6. Let t = -11 + 6. Which is the closest to w? (a) q (b) 1 (c) t a Let m = 101/8 - 13. Let i = -6.3 - -6. Let v be 12/3 - (6 + 1). Which is the nearest to -1/2? (a) m (b) i (c) v a Let l be ((-10)/3)/((-8)/12). Let u = -559 - -558. Which is the nearest to u? (a) 0.5 (b) 6 (c) l a Let q = 123.76 - -0.24. Let z = q + -125. Let t = -0.2 - 0. Which is the closest to t? (a) -2/13 (b) -4 (c) z a Let m = 0.041 + -27.041. Let h = m + 29. Let q = -4 - -3.7. What is the closest to 0.2 in h, q, -2/5? q Let b(r) = 2*r + 1. Let m be b(10). Suppose 3*p = m - 9. What is the nearest to 0 in 5, p, 0.03? 0.03 Let y = -121 + 120.9. Let q = -2/15 + -11/30. Which is the closest to q? (a) 2/3 (b) y (c) -5 b Let f = 7874963/111 + -70945. Let u = f + 2/37. What is the closest to -0.1 in 4, u, -10? u Let s be -6 + (-8)/((-120)/87). Let q be 2/(-7) - (-1)/28. What is the nearest to 7 in s, 0, q? 0 Let a = -1099 - -1189.7. Let l = 91 - a. What is the nearest to -2/5 in 0.5, l, -2? l Suppose 4*k + 8 = -0*g + 2*g, -3*g + 5 = k. Let w = -1 + 2. Let m = 10/31 + 115/124. Which is the closest to w? (a) 1 (b) m (c) k a Suppose 33*s - 5 = 38*s. Which is the nearest to -0.3? (a) s (b) -1/2 (c) 14 b Let c be (-15)/(-30) + (-2)/6. Let p = 5/4 - 19/12. Let m(i) = -i**2 - 4*i + 1. Let l be m(-4). What is the nearest to p in c, -5, l? c Let l be 6/(-5) + 20/15. Let v = -6.4 + 6.6. What is the closest to 0.2 in v, l, -5? v Let s be (-114)/(-190)*(-2)/3. Let y be 0 + 0*(-1)/(-2). What is the closest to y in -4, s, 7? s Let z be (4/5)/2*110/154. Which is the closest to z? (a) -16/7 (b) -0.4 (c) 4 (d) 1/4 d Let m = 6 - 8. Let j = 3.6 + m. Let z = j + -1.5. Which is the nearest to 2? (a) 4 (b) -2/7 (c) z c Let k be -3 + (-912)/(-88) + -7. Which is the nearest to -3? (a) 5 (b) k (c) -2 c Let g = -13 + 13.29. Let f = g + 3.71. Which is the nearest to -1? (a) 2/3 (b) -2 (c) f b Suppose -3*x - 19 = -0*x - 4*o, -3*x - 4*o = 11. Which is the nearest to 2? (a) 0.4 (b) -1/4 (c) x a Let g = -3 + 2.5. Let v = -0.5 + -1.5. Let j be (-2 - (-124)/64)/(4/24). Which is the nearest to 0.1? (a) g (b) j (c) v b Let x(l) = 44*l**2 - 18*l - 17. Let k be x(-1). What is the nearest to 0 in -2/11, k, 0.1? 0.1 Suppose 16*a + 11 = 11. What is the closest to a in 5, -1/6, -1/21? -1/21 Let k = -42 - -42.1. Which is the nearest to k? (a) 0 (b) 5 (c) -4 a Let m = 1/1891 - 1896/9455. Let j = 0.2 + -0.1. Let x = 2 - 0. What is the nearest to j in m, x, 4? m Let r = -0.07 + 0.37. Let f = -2 - 2. Let j(b) = b**3 - 36*b**2 + 6. Let y be j(36). What is the closest to y in 1, f, r? 1 Let a be (-74 + 75)/(-2 - -1 - 2). What is the closest to a in -1, -0.3, -0.1? -0.3 Let t = 0.3 + 1.7. Let h be (-7)/(-21) - -3 - 2. Which is the closest to 2/7? (a) t (b) 11 (c) h c Let z = 1
{ "pile_set_name": "DM Mathematics" }
e second derivative of -4*k + 35 + 218*k**3 + 290*k**3 + 9*k + 128*k**3 - 7 wrt k. 3816*k Let w(r) = 2*r + 1. Let s(x) = -2013*x - 1764. Let l(y) = -s(y) - 6*w(y). Differentiate l(o) with respect to o. 2001 Find the second derivative of -2 + 373*z - 2*z**2 + 9 + 5 - 60*z**5 - 13 - 4136*z wrt z. -1200*z**3 - 4 Let u(l) = -78*l**2 + 8*l - 2. Suppose 539*c - 534*c = 5. Let t(z) = 2*z**2 - 2*z + 1. Let r(b) = c*u(b) + 5*t(b). Find the second derivative of r(q) wrt q. -136 Suppose -9 = -3*d - 17*b + 20*b, 3*d + b = 25. Find the first derivative of 105 + d*i - 5*i + 4*i + 7*i**2 + 2*i + 82 wrt i. 14*i + 8 Let g(r) be the third derivative of -17*r**7/105 + r**6/30 - 7*r**4/12 + 22*r**3/3 - 2*r**2 + 39. What is the second derivative of g(p) wrt p? -408*p**2 + 24*p Find the third derivative of 11*k**2 + 541*k**4 - 4*k**3 - 238*k**4 - 1048*k**2 - 1975*k**2 + 2*k**3 wrt k. 7272*k - 12 Let y(o) = o**2. Suppose 24*m - 19*m = 20. Suppose s + m = -s. Let t(r) = -12*r**2 - 13. Let x(i) = s*y(i) - t(i). Differentiate x(u) with respect to u. 20*u Let n(a) be the second derivative of 703*a**5/20 - 85*a**2 + 2*a + 390. What is the derivative of n(h) wrt h? 2109*h**2 Let j(f) = 13*f - 5. Let q be j(-5). Let a = q + 73. What is the third derivative of -14*h**3 - 12*h**a - 35*h**2 + 26*h**3 + 12*h**5 wrt h? 720*h**2 Let z(l) = l**3 - 4*l**2 - 3*l - 8. Let t be z(5). What is the second derivative of -t*q + 222*q**2 - 258*q**2 + 15 - 2*q**3 + 4*q wrt q? -12*q - 72 Let w = -7278 + 11479. Find the second derivative of -54*m**5 + 3 - w*m**4 + 4201*m**4 + 24*m wrt m. -1080*m**3 Let w(p) = 29*p**3 + 2*p + 107. Let x(u) = -14 - 10 + 25 - u. Let c(a) = w(a) + 2*x(a). What is the first derivative of c(r) wrt r? 87*r**2 Let j(r) be the second derivative of 1/6*r**3 - 1 - 7/2*r**2 + 29*r + 9/10*r**5 + 0*r**4. Find the second derivative of j(d) wrt d. 108*d Suppose 0 = -3*i - 4 + 4. Suppose w + x - 2 = 2*x, -2*w - 3*x + 19 = i. What is the second derivative of 10*v - 3*v + 13*v - 25*v**w + v**5 wrt v? -480*v**3 Let b(s) = -194*s**2 - s - 345. Let v(i) = 3*i**2 + i - 1. Let f(c) = -2*b(c) - 2*v(c). Differentiate f(t) with respect to t. 764*t Let i(l) be the third derivative of -1711*l**6/120 - 919*l**5/20 + 3196*l**2. What is the third derivative of i(n) wrt n? -10266 Let m(t) be the first derivative of -744*t**7/7 - t**3/3 + 1112*t**2 - 1436. What is the third derivative of m(h) wrt h? -89280*h**3 Find the first derivative of 344 + 3*k**2 - 1357 - 76*k - 2910 - 116*k wrt k. 6*k - 192 Suppose 21*r - 24*r = -30. What is the third derivative of -2*d**3 + 21*d**2 - r*d**4 - 12*d**4 + 39*d**4 wrt d? 408*d - 12 Let i be 4 + (-1)/(2/10). Let f(j) = 27*j**3 + 69. Let v(w) = w + 1. Let y(z) = i*f(z) + 2*v(z). Differentiate y(q) wrt q. -81*q**2 + 2 Let u(s) = 2*s**2 - 7*s + 8. Let n be u(2). Differentiate 19 - 83*d**n + 29 + 23 with respect to d. -166*d Let u(q) = -2*q**2 + 28*q - 44. Let f be u(12). What is the third derivative of 25*m - 2*m**2 - 17*m**4 - 21*m - 10*m**f + 30*m wrt m? -648*m Suppose 2*u - k + 1 = 0, u + 18 = 8*k - 4*k. What is the second derivative of 20*z + u*z**5 - 3 - 118*z**2 + 242*z**2 - 156*z**2 wrt z? 40*z**3 - 64 Let j(m) = m**3 + 7*m**2 - 5*m + 40. Let y be j(-8). Find the second derivative of -3*q**3 - 31*q + 12*q**2 - y*q - 109*q wrt q. -18*q + 24 Let z = 149 + -146. What is the second derivative of 8*n**2 + 267*n - z + 27*n**2 + 3 + 98*n**2 wrt n? 266 Let f(l) be the second derivative of -127*l**8/28 - 2*l**7/21 + 1417*l**4/6 + 3*l + 56. Find the third derivative of f(n) wrt n. -30480*n**3 - 240*n**2 Let v(s) be the third derivative of 73*s**6/30 + 2*s**5/15 + 2302*s**3/3 - 2310*s**2. Find the first derivative of v(d) wrt d. 876*d**2 + 16*d Suppose -13*g + 18*g - 5*u = 190, 3*g = u + 120. What is the derivative of 3*f**3 + g*f + 303*f**2 - 303*f**2 + 72 - 4*f**3 wrt f? -3*f**2 + 41 Let w(z) be the first derivative of -1988*z**6/3 - 2*z**3/3 + 1004*z**2 - 82. What is the third derivative of w(c) wrt c? -238560*c**2 Let d be (0 - -1)/((-1)/(-4)). Find the third derivative of -f**2 + 5*f**3 + 23813*f + 22 - 4*f**d - 23813*f wrt f. -96*f + 30 Let l(t) = -2*t + 37. Let w be (-110)/(-7) - (-50)/175. Let o be l(w). Differentiate 110*f**4 - o + 9 + 9 - 104*f**4 wrt f. 24*f**3 What is the derivative of -7*j + 17837*j**3 + 17844*j**3 + 2*j**4 - 1999 - 1576 - 35657*j**3 wrt j? 8*j**3 + 72*j**2 - 7 Suppose -23*g + 28*g = -5*r, -3*g + r + 12 = 0. Differentiate -28 + 28 - 57 - 64*f**g wrt f. -192*f**2 Let l(d) be the first derivative of 185*d**3/3 + 5*d**2/2 + 569*d - 1234. Find the first derivative of l(g) wrt g. 370*g + 5 Let z(j) be the third derivative of -53/8*j**4 + 0*j - 111/20*j**5 + 0*j**3 + 0 - 43*j**2. Find the second derivative of z(b) wrt b. -666 Suppose 4*j + 21 = 5*b - 0*b, 0 = 2*j + b - 7. Find the second derivative of -10 - 11 - 1 - j + 2*y - 69*y**3 + 30 wrt y. -414*y What is the second derivative of -731931*q + 1575*q**3 - 7919*q**3 + 739624*q wrt q? -38064*q What is the second derivative of 128*x**2 - 543*x**2 + 1695*x + 6*x**2 wrt x? -818 Find the second derivative of -269*i + 923*i**4 + 448*i**4 - 382*i**4 - 256*i - 397*i wrt i. 11868*i**2 Let r be 8 + 12/24*(-4)/(-2). Suppose -12*z = -57 + r. What is the second derivative of -12*w**z + 3*w**4 + 9*w**5 - 17*w + 9*w**4 wrt w? 180*w**3 Let l(k) be the second derivative of 169/20*k**5 + 96*k + 0*k**2 + k**4 - 1/2*k**3 + 0. Find the third derivative of l(v) wrt v. 1014 Differentiate 119*p - 112 + 22*p**3 - 205*p - p**2 + 286 wrt p. 66*p**2 - 2*p - 86 What is the second derivative of -2 - 4888*q**3 + 191*q + 79*q - 904*q + 59*q + 1 wrt q? -29328*q What is the second derivative of 2019*t**3 - 4533*t + 94*t**2 + 2 - 94*t**2 - 9375*t**3 wrt t? -44136*t Suppose -5*y + 49 + 81 = 3*l, 4*l + 5*y = 165. Find the third derivative of -l*a**6 - 43*a**2 + 2*a + 58*a**2 - 7*a**6 wrt a. -5040*a**3 Let v(a) = -3*a - 3*a + 7*a**2 - 3 - a**3 - 4*a + 7. Let f be v(5). Find the first derivative of -f*r - 4 + r + 3*r - 3*r wrt r. -3 Find the second derivative of -63*l**4 - 8*l**5 + 48*l**2 - 68*l**4 - 72*l**4 - l - 2130 + 203*l**4 wrt l. -160*l**3 + 96 Let f(o) be the first derivative of -461*o**5/5 - 17*o**2 - 2*o - 1191. Find the second derivative of f(a) wrt a. -5532*a**2 Let a = -56 - -59. What is the first derivative of -33*r**3 - 39*r**a - 5*r + 5*r + 272 + 0*r wrt r? -216*r**2 Suppose -16*f = -18*f + 136. What is the third derivative of -55*h**3 + 24*h + f*h**2 - 39*h + 15*h + 5*h**2 wrt h? -330 Let v = 1 + 3. Let w = 14 - v. Differentiate 3*h**2 + 8*h**2 - 7 + w with respect to h. 22*h Let j(c) = -3489*c**2 - c - 12015. Let f(s) = -217*s**2 - 1. Let x(d) = -3*f(d) + j(d). Differentiate x(z) with respect to z. -5676*z - 1 Let x(s) be the second derivative of 1845*s**8/28 + s**7/21 + 887*s**4/12 + 481*s + 3. Find the third derivative of x(j) wrt j. 442800*j**3 + 120*j**2 Suppose 5*k - 2*l = 6*k, -k + 3*l = -10. What is the second derivative of 47*s**k - 7*s**3 + 3*s**3 - 270*s - 61*s**4 wrt s? -168*s**2 - 24*s Suppose -j + 2*j - 11 = -3*h, -3*j = -3*h - 57. Let f(l) = -l**2 + 55*l - 201. Let t be f(51). Find the second derivative of t*m - m + j*m**3 - 8*m**3 wrt m. 54*m Let z(g) be the second derivative of -260*g**3/3 - 2142*g**2 - 5*g + 271. Differentiate z(w) wrt w. -520 Let f(n) = 7522*n**4 + 5*n**3 + 143. Let j(m) = -3761*m**4 - 2*m**3 - 72. Let h(s) = 2*f(s) + 5*j(s). What is the first derivative of h(d) wrt d? -15044*d**3 Let k(p) be the second derivative of 277*p**4/12 - p**3/3 - 187*p**2 + 1070*p. Find the first derivative of k(i) wrt i. 554*i - 2 Suppose 2*i = i - 5*k + 28, i = 5*k - 22. Find the first derivative of 29 + 294*b**i + 16 - 54*b**3 + 4 wrt b. 720*b**2 What is the third derivative of 4065*k**6 + 119*k + 450*k**6 - 6*k**5 - 10*k**2 - 6 + 6*k**5 + 5 wrt k? 541800*k**3 Differentiate -1109*i + 353 + 707 - 235*i wrt i. -1344 Suppose -384 = -205*y + 231. Let a(h) be the third derivative of -1/15*h**5 - 4*h**2 - 17/6*h**y + 0*h**4 + 0*h + 0. What is the derivative of a(u) wrt u? -8*u Let z(s) be the second derivative of -191*s**8/28 - 343*s**4/12 - 3*s**2/2 - 135*s + 1. What is the third derivative of z(q) wrt q? -45840*q**3 Let o be 6 + (24848/4)/4. Find the second derivative of -1559*n**2 + 49*n + o
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -106*q**3/3 - 54*q**2 + 94. What is the second derivative of a(g) wrt g? -212 Let x(g) be the second derivative of g**8/7 + g**7/14 + g**4/12 + g**3/3 - 72*g. Find the third derivative of x(d) wrt d. 960*d**3 + 180*d**2 What is the third derivative of 4*n**6 + 1859*n - 1861*n + 34*n**6 + 16*n**2 - 2*n**3 wrt n? 4560*n**3 - 12 Let w = 39 - 23. Let p be 2/((0 + 4)/w). What is the third derivative of -6*d**2 - 5*d**5 - d**5 + p*d**5 wrt d? 120*d**2 Suppose 11 = 2*l + 3. Let n = 46 + -26. What is the derivative of n*c**4 - 6*c**l - 4 - 12*c**4 wrt c? 8*c**3 Let a(d) = 165*d**2 - 63*d - 1. Let w(n) = -330*n**2 + 128*n + 3. Let r(q) = 9*a(q) + 4*w(q). Find the second derivative of r(l) wrt l. 330 Let r(w) = -w**2. Let a(v) be the second derivative of -v**4/3 - v**2 + 4*v. Let i(h) = a(h) - 5*r(h). What is the derivative of i(u) wrt u? 2*u Let x(h) be the first derivative of 189*h**5/5 - 286*h**3/3 + 431. Find the third derivative of x(l) wrt l. 4536*l Let h(s) = -109*s**4 - 14*s**3 - 79*s**2 - 7. Let f(i) = -54*i**4 - 6*i**3 - 40*i**2 - 3. Let l(z) = 14*f(z) - 6*h(z). Find the third derivative of l(j) wrt j. -2448*j Let n(h) = -h**2 - 56*h + 40. Let i(j) = j**2. Let p(s) = -2*i(s) - n(s). Find the first derivative of p(d) wrt d. -2*d + 56 Let c(k) be the first derivative of 19*k**7/840 - k**6/20 - 6*k**3 - 22. Let q(d) be the third derivative of c(d). What is the third derivative of q(b) wrt b? 114 What is the derivative of -61 - 73 - 75*w + 310*w - 99 + 56 wrt w? 235 Let l(y) be the third derivative of -355*y**4/24 - 185*y**3/2 + 378*y**2. Find the first derivative of l(m) wrt m. -355 Let c(v) = 56*v**3 - 7*v**2 - 24*v - 1. Let z(d) = -28*d**3 + 4*d**2 + 12*d + 1. Let r(j) = -3*c(j) - 5*z(j). What is the second derivative of r(f) wrt f? -168*f + 2 Let i = 51 - 49. Suppose -3*m + 0*m = 3*g - 729, 0 = 2*g + m - 486. What is the third derivative of -243*v - 3*v**i + g*v - 5*v**5 wrt v? -300*v**2 Let f(s) be the second derivative of 11*s**7/6 + 11*s**3/6 + s**2/2 + 12*s - 8. Find the second derivative of f(r) wrt r. 1540*r**3 Let f(o) = -9*o**5 + o**3 + 4*o**2 + o + 19. Let d(p) = -p**5 + p**4 + p**3 - p**2 + p - 1. Let k(t) = d(t) - f(t). Find the third derivative of k(g) wrt g. 480*g**2 + 24*g Suppose -4*s = 2*v + 24, -3*v + 2*s - 16 = 4. Let r be (-76)/v*(1 + 1). Differentiate 8*q - 22 + 48 - r wrt q. 8 Let y(m) be the first derivative of m**6/6 + 3*m**3/2 + 9*m - 7. Let s(g) be the first derivative of y(g). What is the second derivative of s(h) wrt h? 60*h**2 Suppose 3*j - 10 = j. Let f(q) = -q**3 + 6*q**2 - 4*q. Let v be f(j). Find the second derivative of v*n - 10*n + n**3 + n**3 wrt n. 12*n Find the third derivative of 17*v**3 + 49*v**3 + 131*v**2 - 10*v**3 + v**3 + 4*v**3 wrt v. 366 Differentiate 250*m**3 - 109*m + 71*m + 61 + 38*m wrt m. 750*m**2 Let h(v) be the first derivative of 185*v**4/4 - 227*v**2 - 180. What is the second derivative of h(f) wrt f? 1110*f Let m(t) be the third derivative of 0*t**3 + 0*t**4 - 14*t**2 - 1/15*t**6 + 0*t + 1/6*t**5 + 0. Find the third derivative of m(p) wrt p. -48 Suppose -1 + 9 = 4*w. Differentiate -12*f**3 + f**3 - 8 - w with respect to f. -33*f**2 Let a be 16*(10/(-4) + 3). Suppose -a = -o - 2*m, 2*o - 10 = m - 2*m. Differentiate k**4 - 3 + 3 + o with respect to k. 4*k**3 Let m(g) be the third derivative of -2*g**7/105 + g**5/4 - 11*g**4/4 - g**2 + 15*g. Find the second derivative of m(r) wrt r. -48*r**2 + 30 Let i(g) be the second derivative of -87*g**6/5 + g**3/3 + 79*g**2 - 4*g + 104. What is the second derivative of i(h) wrt h? -6264*h**2 Let i = 184/17 - 985/102. Let q(y) be the third derivative of -1/6*y**5 + i*y**3 + 0*y + 0 + 12*y**2 + 0*y**4. Find the first derivative of q(m) wrt m. -20*m Let p(x) = -x + 2. Let z be p(0). Suppose -r + 19 = 4*l, 4*r = 2*l - 3*l - 14. Find the third derivative of -2*a**5 + 5*a - z*a - 3*a - l*a**2 wrt a. -120*a**2 Let j = 7 - 2. Suppose -j*f = 3*l - 43, 2*l - 2*f - 14 = -2*l. What is the second derivative of -1 + 6 - k - 5 - l*k**5 wrt k? -120*k**3 Let j(x) be the first derivative of -x**6/15 - 7*x**3/6 + 13*x - 5. Let v(c) be the first derivative of j(c). What is the second derivative of v(k) wrt k? -24*k**2 Let o = -31 + 41. What is the derivative of -25 - 3 - o*w**4 + 4 wrt w? -40*w**3 Let t be (12/(-10))/(12/(-100)). Differentiate 14 + 12*s**4 + 3 - t + 15*s**4 wrt s. 108*s**3 Find the third derivative of -116*h**4 + 233*h**4 - 152*h**4 + 119*h**2 - 81*h**4 wrt h. -2784*h Let c(k) = 3*k + 11. Let f be c(-3). What is the first derivative of -3 + 22*w**2 - 6*w**f + 14 wrt w? 32*w Let w = -7 + 13. Let r(l) be the first derivative of -2*l**4 + 4*l - 5*l - w*l - 2 - 1. Differentiate r(v) with respect to v. -24*v**2 Let d(f) be the third derivative of 103*f**8/336 + 5*f**5/4 + 67*f**2. What is the third derivative of d(r) wrt r? 6180*r**2 Let k(b) be the second derivative of 23*b**5/10 + b**3/6 - 111*b**2/2 - 74*b. Differentiate k(w) wrt w. 138*w**2 + 1 Let x(o) = 3*o**3 - 15*o**2 - 13*o + 143. Let y(f) = f**3 - 7*f**2 - 6*f + 72. Let l(k) = -6*x(k) + 13*y(k). Find the first derivative of l(v) wrt v. -15*v**2 - 2*v Let p = 38 + -35. What is the third derivative of 0*j**2 - 5*j**6 - p*j**6 + 5*j**2 wrt j? -960*j**3 Let i(l) = 2*l**2 - 26*l + 27. Let x be i(12). Find the second derivative of 5*o**x - 5*o + 24*o**3 - 3*o + 8*o**3 wrt o. 222*o Let b(o) = -256*o - 19. Let a(s) = 129*s + 9. Let z(y) = 9*a(y) + 4*b(y). What is the derivative of z(k) wrt k? 137 Let d be 5*10*(-3)/(-6). What is the second derivative of -d*q - 34*q**5 + 782*q**4 - 782*q**4 wrt q? -680*q**3 Let b(v) = -v**3 + 6*v**2 - 4*v + 5. Let o be b(5). Suppose -5*s = o, -3*c = c - 2*s - 8. What is the derivative of -7*z - c + 7 + 0 - 7 wrt z? -7 What is the second derivative of 9*a + a**3 + 29*a - 60 + 2*a**3 + 58 wrt a? 18*a Let u = 7 - 5. Let i be (-2 - -4)/(u/4). What is the second derivative of -r - 3*r**4 + 5*r**4 - 4*r**i + 0*r**4 wrt r? -24*r**2 Let b be (31/2)/((-2)/(-12)). What is the second derivative of 19*m - 45 + 29*m**5 + b - 48 wrt m? 580*m**3 Let i(k) be the second derivative of 2*k**7/21 - 2*k**6/15 - 14*k**3 - 6*k + 29. What is the second derivative of i(v) wrt v? 80*v**3 - 48*v**2 Let b = -1 - 8. Let o be (1 + 6/b)*6. Find the first derivative of -d + 2*d - d - 5 - 8*d**o wrt d. -16*d What is the third derivative of -582*i**2 + 496*i**3 + 22702*i - 22702*i wrt i? 2976 Find the second derivative of 171*b**2 + 2 + 137*b**2 + 24*b - 15*b + 3 wrt b. 616 Let h(z) be the first derivative of -z**9/336 + z**6/36 - 10*z**3/3 - 17. Let s(n) be the third derivative of h(n). What is the third derivative of s(q) wrt q? -540*q**2 Find the first derivative of 103*w**3 - 222 + 766*w**2 - 766*w**2 wrt w. 309*w**2 Let c(m) be the first derivative of m**5/5 + m**4/2 + 38*m**3/3 - 51. Find the third derivative of c(d) wrt d. 24*d + 12 Suppose -p + 27 = -5*v, p + 1 = -2*v - 7. Suppose 0 = g - p*g. Differentiate g + 5 - l - 4*l with respect to l. -5 Let c = -20 - -22. Find the second derivative of 5*u**2 + 0*u**c - 9*u + u**2 wrt u. 12 Suppose 0 = 2*m - 4 - 0. Let t = -709 - -709. Differentiate t*s - 1 + s + m - 4 wrt s. 1 Let x(f) be the third derivative of 2*f**2 + 0*f**5 - 7/3*f**3 + 0*f**4 + 0 + 0*f + 0*f**6 + 4/105*f**7. Find the first derivative of x(s) wrt s. 32*s**3 Differentiate -142*d**2 - 47 + 31*d**2 - 52 - 50 with respect to d. -222*d Find the first derivative of 115 - 237*y - 180 - 345 - 66*y + 51*y wrt y. -252 Suppose 0 = -5*o + 6 + 4. What is the third derivative of -7*g**5 - o*g**2 - 4 + 2 + 2 wrt g? -420*g**2 Let g(w) be the third derivative of -5*w**6/12 - w**5/5 + w**3/3 + 21*w**2. What is the third derivative of g(k) wrt k? -300 Let z(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d**3 - 32 + 4/5*d**5 - 24*d. Differentiate z(k) with respect to k. 16*k**3 Let t(y) be the second derivative of -y**8/168 - y**5/60 - 4*y**3/3 - 8*y. Let v(f) be the second derivative of t(f). Find the second derivative of v(j) wrt j. -120*j**2 Let t(a) be the first derivative of 22*a**3/3 - 31*a + 29. Differentiate t(g) wrt g. 44*g Let b(z) be the second derivative of 59*z**4/3 - 119*z**2/2 + 137*z. Differentiate b(k) wrt k. 472*k Let i = 3512/3 - 1169. Let m(a) be the third
{ "pile_set_name": "DM Mathematics" }
at is the tens digit of u? 3 Let l = -341 - -768. What is the units digit of l? 7 Suppose 0 = 21*y - 12135 - 38601. What is the tens digit of y? 1 Let x(d) = d**2 + 33*d - 93. What is the hundreds digit of x(-39)? 1 Suppose -4 = 14*f - 16*f. Suppose -6*a = -f*a - 152. What is the units digit of a? 8 Let l(n) = n**3 - 3*n**2 - n - 8. Let i be l(4). Suppose u + 0 = i. Suppose 2*d = 2*j - 0 - 2, 19 = u*j + d. What is the units digit of j? 4 Suppose -81 + 821 = -5*d. Let h = -77 - d. What is the tens digit of h? 7 What is the tens digit of (36/7)/9 + 493/7? 7 Let i = -485 + 1219. What is the tens digit of i? 3 Let v(g) = 2*g**2 - 24*g - 14. What is the units digit of v(-12)? 2 Let j = 2 + -8. Let r be (12/(-7))/(j/63). Suppose -2*w + 24 = -r. What is the tens digit of w? 2 Suppose 2*y + 47 = 5*m - 8, 4*m + 3*y = 21. Suppose 3*g = 2*h - m, 0 = 2*h - 6*h - g + 53. What is the units digit of h? 2 Let p(w) = 9*w + 25. Let c(j) = -4*j - 12. Let m(y) = -5*c(y) - 2*p(y). Let t = 219 - 213. What is the units digit of m(t)? 2 Suppose -4*s + 0*s = 32. Let n be s/20 + 24/10. What is the units digit of 4/4*22*n? 4 Let t(c) = -c + 18. Let u be t(0). What is the tens digit of u/6 - 1*-82? 8 Let j be 3/12 + 3/4. Let n = j - 8. Let k = n + 26. What is the units digit of k? 9 Let j = 148 + -143. Suppose -5*n + 117 = d - 0*n, 0 = j*d + 5*n - 485. What is the tens digit of d? 9 Let n(d) = 2*d**2 + 3*d - 14. What is the tens digit of n(6)? 7 What is the tens digit of (-17264)/(-14)*(-42)/(-12)? 1 Suppose -76 + 286 = -4*t - 2*z, 0 = 4*t - 4*z + 240. Let i be t/(-5) + -2 + 1. Suppose -l - 9*d = -4*d + 15, l = -4*d - i. What is the tens digit of l? 1 Let c(p) = p**3 - 11*p**2 - 11*p + 17. Suppose 74 = -2*z - 3*u, 4*z - 2*u = -76 - 40. Let a = -19 - z. What is the units digit of c(a)? 9 Suppose 33 = 5*d + 6*d. Suppose 2*o = 3*o - 2, -3*l - 3*o + 18 = 0. Suppose -l*f + 26 = -d*f. What is the units digit of f? 6 Let s(z) = z**2 - 8*z + 19. Let k be s(-18). Let b = -252 + k. What is the units digit of b? 5 Let h(y) = 3 - 26*y - 2 + 0*y. What is the units digit of h(-2)? 3 Let s = -9 + 1. Let f = 41 + -15. Let o = f + s. What is the units digit of o? 8 Let k be 0/2 - (-354 + -8). Let y = k - 137. What is the tens digit of y? 2 Let c(h) = 2*h**2 + 11*h - 3. Let p be c(-6). Suppose 4*n - p*r - 425 = 0, 0 = -3*n - 4*r + 131 + 219. What is the tens digit of n? 1 Suppose -3*z - 16 = -o + 2*z, -o = 3*z - 8. What is the tens digit of o? 1 Let l be (1/(-2))/(3/30). Let v = -2 - l. What is the units digit of 0 + v + (-26)/(-2)? 6 Let w(s) = -s**2 + s**2 - 2*s**2 + 1 - 41*s**3 - 37*s**3. What is the tens digit of w(-1)? 7 Let u(k) = -k**2 + 10*k + 44. Let c be u(13). Suppose -s - 3*g + 37 = 2*g, 2*s + c*g = 64. What is the tens digit of s? 2 Let u be 9*2/6 - -5. Let f = -6 + u. Suppose -3*g + 171 = -f*o, -5*o = g - 0*o - 57. What is the tens digit of g? 5 Let u be -28*((-338)/63 + 30/135). Suppose y + u = 2*d, 3*d = -0*y - 3*y + 225. What is the tens digit of d? 7 Suppose 44*m = 18*m + 5434. What is the tens digit of m? 0 Let o(p) be the second derivative of -p**5/20 - p**4/12 - p**3/6 + 3*p**2/2 - 7*p. Let q be o(-3). Let b = q + -5. What is the tens digit of b? 1 Suppose 10117 + 7001 = 18*u. What is the hundreds digit of u? 9 Let u(x) = -3*x + 3. Let h be u(-6). Let d be (h/9 - 3)*-3. What is the units digit of (-3)/d*-1*6? 9 Let i = -4957 - -7385. What is the thousands digit of i? 2 Let m(u) = u - 5. Suppose 32 = -3*k - c, 3*k + 5*c - 44 = 5*k. Let b = 24 + k. What is the units digit of m(b)? 7 Suppose -159*h + p = -163*h + 16793, -h + 4197 = -p. What is the hundreds digit of h? 1 Let v(j) = -j**2 + 7*j - 6. Let x be v(6). Let g = 19 + -15. Suppose x = -g*t + 4. What is the units digit of t? 1 Let k = -6 - 6. Let o = k - -12. What is the tens digit of 0/5 + (25 - o)? 2 Suppose 0 = -3*w - r - 22, -5*w - r - 31 = 3. Suppose 8*k - 819 = k. What is the units digit of ((-10)/3)/(w/k)? 5 Let a = 13 + -15. What is the units digit of (-64)/a + 0 + 2? 4 Let l(w) = w**3 - 24*w**2 + 2*w - 16. What is the tens digit of l(24)? 3 Suppose -y - p = 52, 15 = -0*p - 5*p. Let h = -9 - y. What is the tens digit of h? 4 Let k = 4641 + -3014. What is the tens digit of k? 2 Let d = 73 + -122. Let x = -4 - d. What is the units digit of x? 5 Suppose 3*w + 2*r - 917 - 1602 = 0, w + 3*r = 842. What is the units digit of w? 9 Suppose -4*r + 5*a + 275 = -r, 3*r + 5*a - 235 = 0. Let n = 28 + r. What is the tens digit of n? 1 Let c(m) = 2*m**2 - 8*m - 9. Let q be c(7). Let v = -15 + q. What is the tens digit of v? 1 Let y be 2/4 - 14/(-4). Suppose 104 = 3*j - 2*c, -y*j = 4*c - 4 - 148. What is the tens digit of j? 3 Let t be (-15)/10*16/(-6). Suppose 0*y + t*h - 77 = -y, h = 3. What is the tens digit of y? 6 Let g = -29 + 16. Let x = 16 + g. What is the units digit of x? 3 Let n be (5/10)/((-2)/4). Let p be n + (2 + 3 - -3). Suppose -p*v + 128 = -3*v. What is the units digit of v? 2 Let d be (34/(-6))/(56/18 - 3). Let o = 100 + d. What is the tens digit of o? 4 Let p(n) = 0 + 16*n**2 - 8*n + 2*n + 2 - 15*n**2. Let v be p(6). What is the tens digit of 3/(33/(-18) + v)? 1 Suppose -135 = 3*b - 4*b. Suppose -4*l + 3*l + 125 = 5*i, l - 5*i - b = 0. What is the units digit of l? 0 Let r = 12 + -6. What is the tens digit of r/(-9)*132/(-2)? 4 Suppose d + 2*f = -7, 2*d - d = -4*f - 17. Suppose 0*v - 109 = -v. Suppose -2*t - 29 = -d*t + 2*w, -5*t + v = -w. What is the units digit of t? 1 Suppose 0 = -5*b + 5*x + 5446 + 1014, 3877 = 3*b - 4*x. What is the hundreds digit of b? 2 Suppose 234*g - 229*g - 23330 = 0. What is the units digit of g? 6 Suppose n + 6*n - 77 = 0. Let y = n - 7. What is the units digit of (1 - y - -64)/1? 1 Let x = 432 - 286. Suppose x = -10*t + 756. What is the tens digit of t? 6 Let i be 1 - (4*-1 + 0 + 1). Suppose -415 = -i*k - k. What is the units digit of k? 3 Let d be 8/2 + 4 + -5. Suppose -m = 3*k - 6*k + 174, 0 = 2*k - d*m - 109. What is the tens digit of k? 5 Let y(q) = 4*q**2 + 3*q + 5. Let m(n) = -9*n**2 - 7*n - 9. Let v(k) = 3*m(k) + 7*y(k). What is the units digit of v(0)? 8 Let n(h) = h**3 + 5*h**2 + 13*h + 3. Let q be n(-5). Let m = q - -116. What is the tens digit of m? 5 Let w(s) = -3*s - 7. Let q be w(-4). Suppose 3*p = -2*g + 395, p + p - 257 = q*g. What is the hundreds digit of p? 1 Suppose v - 3 - 1 = 0, 14 = 2*x - v. What is the tens digit of ((-126)/24)/(x/(-24))? 1 Let q = 33 - 13. Let f = -34 + q. Let s = 16 + f. What is the units digit of s? 2 Suppose 195 = -3*c - 2*c. Let d be 4/12 - c/(-9). What is the units digit of (9/d)/((-24)/128)? 2 Suppose -7*o + 131 = -65. Suppose o*q = 24*q + 1136. What is the tens digit of q? 8 Let v = -6 + 8. Suppose v*f = 269 - 45. Suppose l - f = -3*l. What is the tens digit of l? 2 Suppose -41*f + 4 = -2*s - 37*f, -5*s - 2*f + 14 = 0. What is the units digit of s? 2 Let w(l) = -l**3 + 6*l**2 + 8*l - 6. Let q be w(7). Let p = 1 + -1. Let d = p + q. What is the units digit of d? 1 Let z = 118 + -76. Let p = 10 + -7. Suppose -2*m - m + 3*n + 36 = 0, -n = -p*m + z. What is the units digit of m? 5 Let q = 882 - -371. What is the tens digit of q? 5 Let q be (-36)/(-15)*(-300)/18. Let h = 92 + q. Suppose h - 2 = 5*u. What is the units digit of u? 0 Let x(v) = 18*v**2 + v - 1. Let p = -15 + 16. Let g be x(p). What is the units digit of (g/(-4))/(3/(-6))? 9 Let d(c) = -c - 11. Let v be d(-14). Suppose -k - 5*w + 12 = -8, -v*k - 5*w = -80. What is the units digit of k? 0 Let h = -222 - -251. What is the units digit of h? 9 Suppose -3*r - 4*c + 4475 = -0*r, 0 = -3*c - 3. What is the tens digit of r? 9 Let a(f) = 1 + 7*f + 0 - 5 - f**2. Let q be a(7). What is the units digit of (q/2 - -10) + 3? 1 Let h be (1 + -61)*32/(-12). Suppose h = -5*f + 5*a, -3*f - 3*a = 85 + 5. Let w = 58 + f. What is the units digit of w? 7 Let t(c) = 0*c + 67 - 2*c + 14*c**3 - 15*c**3. What is the units digit of t(0)? 7 Let h = -802 - -1281. Suppose 73 = -2*p + h. What is the tens digit of p? 0 Suppose -4*x - 36 - 20 = 0. Let n = -23 - x. Let i(u) = -u**2 - 15*u - 14. What is the tens digit of i(n)? 4 Let h be 3 - -2 - (-12)/(-6). Suppose 3*l - 2*n = 575, -3*l - h*n = l - 795. Suppose 5*d + 5 - l = 0. What is the tens digit of d? 3 Let a be (2/4)/(2/88). Let b = a - -44. Su
{ "pile_set_name": "DM Mathematics" }
-0.2 (e) -5 (f) 3 c What is the closest to 0.3 in 2332, -5, -4, 0, -22, -2/7? 0 Which is the closest to 0.3? (a) -7 (b) 252 (c) 2/57 (d) -3 (e) 45 c What is the nearest to -497/4 in 1/3, -3/2, -2/13, 18, 45, -1? -3/2 What is the nearest to -2/459 in -0.8, -6/23, -1/6, -0.05, 7? -0.05 Which is the nearest to -1? (a) 1/12 (b) 20 (c) -4.8 (d) -5 a Which is the nearest to 10? (a) -0.024 (b) -5 (c) 0.04 (d) 14.7 d What is the nearest to -0.2 in 0.2, -4, -1, -184, -3, 417? 0.2 What is the nearest to -8 in -239, 6, -1256/5? 6 Which is the closest to -1? (a) -28 (b) 88 (c) 46 (d) -0.06 (e) -4/5 (f) -1 f Which is the closest to -2? (a) 2/11 (b) 2/2017 (c) -5 (d) 7.856 b What is the closest to -20/37 in 2/21, -3, 5, -94? 2/21 What is the closest to -62 in -0.4, -0.5, 2/2489, -5? -5 Which is the closest to -10? (a) 4 (b) 2/15 (c) -0.1025179 c What is the closest to -0.1 in -2, 1/419, 0.206? 1/419 Which is the nearest to 1.8? (a) 0.18 (b) 48 (c) 8 a Which is the nearest to 2435? (a) 0.2 (b) -466 (c) -1 (d) -3 a Which is the closest to 1/16? (a) -1.2 (b) 0.05 (c) 0.2 (d) 0.02805 b Which is the nearest to 2? (a) 67 (b) 3/193 (c) 18.3 b Which is the closest to 695/11? (a) -1 (b) -13 (c) 0.073 c What is the nearest to -0.2 in -0.4, 12, 38, -0.021, -3/7, 11? -0.021 What is the closest to -67.489 in -3/2, -1, -0.1, -4? -4 Which is the nearest to -1.9? (a) 157631 (b) 2/5 (c) 2/7 c Which is the closest to -2/5? (a) 1034 (b) 1 (c) -0.82 c What is the nearest to -18.1 in 25, -4, -14.16? -14.16 What is the nearest to 1/4 in -0.5, 3/2, 23/216? 23/216 Which is the nearest to 522? (a) 2/5 (b) 29 (c) 0.272 (d) -1/4 b Which is the nearest to -4570? (a) -5 (b) 2/19 (c) 0 (d) -2/3 (e) -3/5 a What is the nearest to 0.01 in -238/5, -2/11, -5/4, -4/7? -2/11 Which is the nearest to 1? (a) 12.67 (b) -0.2 (c) 730 (d) -5 b Which is the closest to 1/3? (a) 1.49 (b) -1 (c) 220107 a What is the nearest to 4 in -0.003, 7, -3/95, -2, 3/4, 0.3? 7 What is the closest to 0 in -2, -1, 4/337, -3, 2/17, -0.01? -0.01 What is the closest to -24/7 in -3, -1/2, -124/175? -3 Which is the nearest to -0.06? (a) 503 (b) -1 (c) -1/25 c What is the closest to 1 in 17.3, 59683, -2/15? -2/15 What is the closest to -9 in -4, -0.4, -2/9, -0.063, -1/35, 3/20? -4 Which is the nearest to -18/133? (a) 4 (b) 2 (c) 3/5 (d) 29/6 (e) 1 c Which is the nearest to 3? (a) -0.1 (b) -5 (c) -1/7 (d) -20 (e) -61 a Which is the closest to -2? (a) 111 (b) 2 (c) -110 (d) -3 (e) -150 d Which is the closest to -1/2? (a) -296 (b) -5 (c) -92 (d) 0 (e) 5 d What is the closest to -1/3 in -7/88, -960.6, 2? -7/88 What is the nearest to -3 in 0.4, 9/5, -17/6, -1, -2/17? -17/6 Which is the closest to 15? (a) 2/3 (b) -1 (c) 3902 a What is the nearest to 2 in 0.5, -0.4, 0.042, -1.4, -1/4, 203? 0.5 What is the closest to -0.035 in 28, -1, -7.53, -5, 4? -1 What is the closest to -224 in 1/5, -2510, -2/5, -17? -17 Which is the closest to 1/9? (a) 24 (b) 1/7 (c) 0.79 (d) 0.2 (e) 0 b Which is the nearest to -6? (a) -2/15 (b) -2/53 (c) -16 (d) -4 (e) 0.4 d What is the closest to -0.012 in 0, -2/17, 1/61, -4, 2/9? 0 Which is the closest to 1? (a) 2 (b) -1/2 (c) -8770 (d) 0.24 d What is the nearest to 2 in -2, 4.31, 6/17, -2/7, -1, -6? 6/17 What is the closest to -5 in -5, -0.1048, 2.397? -5 Which is the nearest to 0.2? (a) -3/5 (b) 0.5 (c) 4 (d) 42 (e) 376 b Which is the nearest to 1? (a) -837 (b) 8 (c) 1.12 (d) -0.4 c Which is the nearest to -1? (a) 4 (b) 6.8752 (c) -1/42 c Which is the closest to 1? (a) 2/9 (b) 11/9 (c) 3063 b Which is the closest to -2? (a) 0 (b) -9482911 (c) -0.2 c Which is the closest to 3? (a) 17/9 (b) -0.1 (c) -1.2 (d) 26 a What is the closest to -0.1 in 1.3, 0, -6, -149, 9? 0 Which is the nearest to 0? (a) -7728 (b) 328 (c) -3/7 c What is the nearest to 0.881 in 2, 3.5, -32? 2 Which is the closest to -1/11? (a) -4 (b) -3.818 (c) 4 (d) -1/2 d What is the closest to -0.1 in 0, -5/33, -2/63, 1, -1/4? -5/33 Which is the closest to 0.11? (a) -2 (b) -4/7 (c) -1/16 (d) -14 (e) 598 (f) 4/3 c Which is the closest to 63? (a) 0.4 (b) 4 (c) 592 (d) -15 b What is the nearest to -0.36 in 1, 42, -1.69, -67? -1.69 Which is the closest to -10? (a) -3 (b) -68 (c) 2 (d) -5 (e) 146 d Which is the nearest to 2/5? (a) 1/4 (b) -7655 (c) -0.4 (d) -116 (e) -2/9 a Which is the nearest to -0.08? (a) -1413249 (b) 0 (c) -2/13 c What is the nearest to 2/411 in 0, 22/3, 5, -5? 0 Which is the closest to 0? (a) 1/4 (b) -8 (c) 332 (d) 2.7 (e) -2/9 e What is the closest to 5016 in -0.3, 23, 2/19, -4/5, 0? 23 Which is the closest to 2? (a) -1 (b) -1/5 (c) 1/2 (d) 4273 (e) -80 c What is the closest to -2 in -4, -1/2, 0.497, 2/5, -29, -3/7? -1/2 What is the nearest to 1/23 in 4, -13, 2/7, -730/13, 5? 2/7 Which is the nearest to 23? (a) 3 (b) -7470 (c) 0.9 a Which is the nearest to 1? (a) 11725.3 (b) 0.4 (c) 35 b Which is the nearest to -23? (a) -1326 (b) -0.2 (c) -8.8 (d) 4 c What is the nearest to -135630/13 in -1/5, 2, 1? -1/5 Which is the closest to -282071? (a) -1 (b) 1 (c) -2 c What is the nearest to 0 in -7, -3, -18, 1269, -2/5? -2/5 What is the nearest to 15.5448 in 4, 2.4, 88? 4 What is the nearest to 3034 in 2796, 2/7, -1? 2796 What is the nearest to 30 in 0.5, -1, 1.09, 33, -2? 33 What is the closest to 4 in 1/2, 2, 1.1, -18/17, 1? 2 What is the closest to 2/3 in 18754/4983, 0.4, -2? 0.4 What is the closest to 2/9 in -191414, 3, 285? 3 Which is the closest to -2.3? (a) -276 (b) -2.21 (c) 0 b Which is the closest to 3/2? (a) 1/7 (b) 0.029629 (c) -1 (d) 2/13 d What is the nearest to 335 in -0.01, 2/7, -244, -1/3? 2/7 What is the nearest to -3 in -24, 272352, -5? -5 Which is the closest to 1/18? (a) 1 (b) 21601 (c) 0.2 c Which is the closest to -2? (a) -2 (b) -56/5 (c) 2/471 a Which is the closest to -17? (a) -0.5 (b) 2.9 (c) -4 (d) 1/4 (e) -51 c Which is the nearest to -624055? (a) -5/2 (b) -1/3 (c) 0 a Which is the closest to -4? (a) 8832 (b) -1/5 (c) 1/1405 b Which is the nearest to 2/7? (a) -1/1140 (b) 25 (c) 8/11 a Which is the nearest to 4? (a) 2/779 (b) -3.54 (c) 3 c Which is the nearest to 2/9? (a) 5 (b) -49 (c) -1/5 (d) -91 c What is the nearest to 1.17 in 0.4, 2/3, 0.1, -264/5? 2/3 What is the nearest to -1 in 0.4, 9, 1/7, -174.6, -2/9? -2/9 Which is the nearest to -10? (a) 0.4 (b) 1/18 (c) 34 b What is the closest to -1 in 5, -506, 2, 3, 3/19, -1/2? -1/2 What is the closest to -26 in -2, 2/33, 2, 2/55, -0.01, 12? -2 What is the closest to -1570 in -171, -6, 3? -171 What is the closest to -899 in -0.3, 1/4, -9, 4, 1, 0.15? -9 Which is the closest to 11? (a) -0.4 (b) 0.1 (c) 8/57 (d) -41 (e) -1/9 c What is the nearest to -1/4 in -1/7, -59, -9/101? -1/7 Which is the closest to -1? (a) 5 (b) 100 (c) 2 (d) 1 (e) -30477 d Which is the nearest to 325079? (a) 1/9 (b) -10/7 (c) -0.1 a Which is the closest to 59? (a) -1.47 (b) -5 (c) 1/10 (d) -1/4 (e) -0.1 c Which is the nearest to 42.25? (a) 3 (b) 1/4 (c) -2 (d) -1 (e) -21 a Which is the nearest to -11? (a) 220 (b) -1 (c) -1/5 (d) 15/28 b Which is the nearest to -1/2? (a) -9/58 (b) -118 (c) 0.05 (d) 0.4 a Which is the closest to 0? (a) 60 (b) 24 (c) 5 (d) 9 (e) 0.341 e What is the nearest to 0.2 in -2, -0.4, 1.1, -153/2? -0.4 What is the nearest to -3366 in 0.4, -76/11, -0.3? -76/11 What is the nearest to 635 in 1/8, 167/4, 0.2, 3? 167/4 What is the nearest to 0.04 in -108, 1/5, -24, -0.9? 1/5 Which is the closest to -38.643? (a) -720 (b) -2/7 (c) -2/17 b Which is the closest to -7790? (a) -3 (b) 2/215 (c) -9/2 c What is the closest to 0.1 in 4, 4208, -4/3, -1.2, 0.3? 0.3 Which is the nearest to -0.1? (a) 68 (b) -2/7 (c) -1/4 (d) -2601/14 c What is the closest to -2.7 in -0.3, 924/5, -1/70? -0.3 What is the nearest to 0 in 6, 0.0128, 2, -3, 73? 0.0128 Which is the nearest to -1.98? (a) -0.5 (b) 313 (c) -14 a Which is the nearest to -1? (a) 2/13 (b) 0.4 (c) 2650913/6 a Which is the nearest to -0.2? (a) 6746 (b) 2 (c) 0.1054 (d) -4 c Which is the closest to 2316? (a) 1/42 (b) -1/2 (c) 8 (d) 5 c What is the closest to 1
{ "pile_set_name": "DM Mathematics" }
1)**2/4 Let w be (15 - -3)*4/12. Let i(a) be the second derivative of 3/10*a**w + 5/4*a**4 - 1/2*a**3 + 0*a**2 - 21/20*a**5 + 0 - 2*a. What is l in i(l) = 0? 0, 1/3, 1 Let g(f) = 5*f**2 + 374*f + 7214. Let w(x) = -x - 1. Let j(l) = g(l) - 6*w(l). Factor j(i). 5*(i + 38)**2 Let c(i) = 5*i**3 - 33*i**2 + 9*i + 33. Let b(g) = -3*g**3 + 16*g**2 - 5*g - 16. Let y(t) = -7*b(t) - 4*c(t). Let y(m) = 0. Calculate m. -20, -1, 1 Let c = 790 - 19746/25. Let x(v) be the first derivative of -2 - c*v**5 + 0*v**2 + 0*v**3 - 1/10*v**4 - 1/15*v**6 + 0*v. Solve x(l) = 0. -1, 0 Let a = 63 - 59. Solve -4/9 + 2/9*p**3 + 2/9*p**a - 2/3*p**2 - 10/9*p = 0 for p. -1, 2 Let z(b) be the first derivative of -3*b**6/8 - 6*b**5/5 - 13*b**4/16 - b**3/6 - 201. Factor z(r). -r**2*(r + 2)*(3*r + 1)**2/4 Let o be ((-18)/15)/((-3)/10). Let r(f) be the third derivative of 0*f + 0 + 0*f**3 - o*f**2 + 1/6*f**4 - 1/30*f**5. Factor r(h). -2*h*(h - 2) Let s(v) be the first derivative of -14/15*v**5 - 9 - 13/3*v**2 - 6*v**3 - 4/3*v - 23/6*v**4. Factor s(j). -2*(j + 1)**3*(7*j + 2)/3 Let k(s) be the third derivative of 0*s - 1/70*s**7 - 1/10*s**5 - 1/10*s**6 + 1/2*s**4 - 22*s**2 + 0 + 3/2*s**3. Solve k(l) = 0. -3, -1, 1 Let q(a) be the second derivative of a**6/120 - 11*a**4/24 - a**3 + 45*a**2/8 + 7*a + 40. Factor q(t). (t - 5)*(t - 1)*(t + 3)**2/4 Let z(d) = -18*d**4 + 2*d**3 + 52*d**2 - 42*d + 2. Let p(x) = -x**4 - x**3 - x + 1. Let i(c) = -2*p(c) + z(c). Factor i(h). -4*h*(h - 1)*(h + 2)*(4*h - 5) Factor -18/5*c + 2/5*c**2 + 0. 2*c*(c - 9)/5 Let k(r) = 4*r**2 - 12*r - 13. Let o be k(4). Let -2/11*v - 2/11*v**o + 0 + 4/11*v**2 = 0. Calculate v. 0, 1 Let y = -360 - -365. Let d(s) be the third derivative of 2/195*s**y + 0*s**3 + 7*s**2 + 0*s + 0 + 1/780*s**6 + 1/39*s**4. Suppose d(u) = 0. What is u? -2, 0 Factor 1/6*t**4 + 10*t + 14/3 + 2*t**3 + 43/6*t**2. (t + 1)*(t + 2)**2*(t + 7)/6 Let h(q) = 23*q**2 + 36*q + 8. Let x(i) be the second derivative of -2*i**4 - 6*i**3 - 4*i**2 + 11*i. Let y(z) = -4*h(z) - 5*x(z). Find g such that y(g) = 0. -1, -2/7 Let r(x) be the second derivative of -2*x**4/45 - 7*x**3/9 + 3*x**2/5 + 3*x - 109. Factor r(c). -2*(c + 9)*(4*c - 1)/15 Suppose -5*h = 3*k - 2*h - 24, -2*h - 28 = -2*k. Let d = 497 + -1471/3. Let 22/3*p**3 - k*p**2 - 4/3 - 5/3*p**4 + d*p = 0. Calculate p. 2/5, 1, 2 Let q(s) = -s**2 - 11*s - 17. Suppose -4*a + 4*i - 41 = -9, 5*a - 4*i + 41 = 0. Let d be q(a). Solve 1/4*z**2 - d + 0*z = 0. -2, 2 Let b(r) be the third derivative of -7*r**2 + 0*r**4 + 2/3*r**3 + 0*r - 1/120*r**6 - 1/20*r**5 + 0. Suppose b(o) = 0. Calculate o. -2, 1 Let i(s) = s**3 + 3*s**2 - 10. Let l(h) be the first derivative of h + 14. Let t(q) = i(q) + 6*l(q). Solve t(d) = 0 for d. -2, 1 Let g(z) be the second derivative of -z**5/15 - z**4/6 + 4*z**3/3 + z**2 - 4*z. Let k(f) be the first derivative of g(f). Suppose k(w) = 0. Calculate w. -2, 1 Let d(q) be the third derivative of 2*q**6/135 + 13*q**5/54 + 34*q**4/27 + 16*q**3/27 - 85*q**2. Factor d(b). 2*(b + 4)**2*(8*b + 1)/9 Factor -3/5*r**5 + 0 + 0*r**3 - 12/5*r**2 + 9/5*r**4 + 0*r. -3*r**2*(r - 2)**2*(r + 1)/5 Let d be ((-26)/78)/(2 - 38/18). Let o(m) be the first derivative of 1/17*m**2 + 2/17*m**5 - 3 - 2/51*m**d - 2/51*m**6 + 0*m - 3/34*m**4. Factor o(n). -2*n*(n - 1)**3*(2*n + 1)/17 Let -2/3*k**5 + 0*k**4 + 4*k**2 + 0 + 0*k + 14/3*k**3 = 0. Calculate k. -2, -1, 0, 3 Let i be (-32)/48 + 78/90. Factor 0*x - i*x**2 + 1/5. -(x - 1)*(x + 1)/5 Let h(q) = -40*q**2 + 86*q**2 - 45*q**2 - 16*q + 17. Let g be h(15). Solve 4/3*x + 0 - x**3 + 0*x**g - 1/3*x**4 = 0. -2, 0, 1 Let p be (0 - -2)*(1 + -3)/(-86). Let i = 137/172 - p. Factor 3/4*c + 0 - 3/2*c**3 + 0*c**2 + 0*c**4 + i*c**5. 3*c*(c - 1)**2*(c + 1)**2/4 Let p be 6*4*(-1)/(-12). Factor -3*z**p - 3*z - 6*z + 3 + 9. -3*(z - 1)*(z + 4) Suppose -31*w + 27*w = -112. Factor -2*r**3 - 3*r**3 - w*r**2 - 5*r + 38*r**2. -5*r*(r - 1)**2 Let x be 20433/126 + 1/(-6). Let n = -159 + x. Determine z so that -1/2*z - 1/4*z**4 + 0*z**2 + 1/2*z**n + 1/4 = 0. -1, 1 Let y(p) = -4*p - 39. Let v(m) = -5*m - 38. Let j(b) = 5*v(b) - 4*y(b). Let g be j(-4). Factor 1/5*f**5 + 0*f**3 + 0*f**g + 0 - 1/5*f**4 + 0*f. f**4*(f - 1)/5 Let j(p) be the first derivative of p**4/50 + 18*p**3/5 + 4488*p**2/25 - 9248*p/25 + 302. Suppose j(h) = 0. What is h? -68, 1 Find a such that 31/2*a**2 - 1/2*a**3 + 225/2 - 255/2*a = 0. 1, 15 Let i(a) be the first derivative of -a**6/6 + 2*a**5/5 + 5*a**4/4 - 10*a**3/3 - 2*a**2 + 8*a + 296. What is w in i(w) = 0? -2, -1, 1, 2 Suppose x = -0*x - 5. Let b = 8 + x. Factor 0*d**b + 10*d**3 - 10*d**3 + 4*d**4. 4*d**4 Let o(u) = -u**3 - 12*u**2 - 12*u - 1. Let z be o(-11). Let d be 1/(1 - 5/z). Determine i, given that -3*i**d - 5*i**4 - 2*i**3 + 6*i**4 + 8*i + 1 - 5 = 0. -2, 1, 2 Suppose -20 = -5*h + 9*h + 4*u, 8*h - 9 = -u. Solve 0 + 4/15*y + 2/15*y**h = 0. -2, 0 Let o(v) = -7*v**2 + 3*v - 1. Let h be 60/(-24)*(-6)/(-5). Let p(w) = 4*w**2 - w. Let i(b) = h*o(b) - 5*p(b). Factor i(u). (u - 3)*(u - 1) Let q(w) be the first derivative of -5*w**4/2 - 5*w**3 + 5*w**2/2 - 2. Let k(o) = -11*o**3 - 16*o**2 + 6*o. Let j(x) = -5*k(x) + 6*q(x). Factor j(l). -5*l**2*(l + 2) Factor 63*p**2 + 66*p - 139 - 3*p**3 + 54 + 85. -3*p*(p - 22)*(p + 1) Solve -21/8*r**2 - 21/4*r - 3/8*r**3 - 3 = 0 for r. -4, -2, -1 Let k(p) be the second derivative of -p**7/210 + p**6/40 - p**5/30 + 7*p**2/2 - 8*p. Let i(c) be the first derivative of k(c). Determine q so that i(q) = 0. 0, 1, 2 Suppose -8*b + 13*b - 3*l = 0, -2*b - 5*l = -31. What is h in 1/5*h**2 - 1/5*h**b + 1/5*h**5 - 1/5*h**4 + 0*h + 0 = 0? -1, 0, 1 Let 2/17*n**2 + 0 + 32/17*n = 0. What is n? -16, 0 Let o(x) be the third derivative of x**6/1440 - 7*x**4/96 - 5*x**3/18 - 834*x**2. Solve o(z) = 0 for z. -4, -1, 5 Determine n, given that -3*n**2 + 17/7*n - 3/7 - 9/7*n**3 = 0. -3, 1/3 Suppose 4*p - 55 = 33. Let w(c) = -c**2 + 6*c + 1. Let s be w(4). Factor 3 - 6*r**2 - s*r - 10*r + p*r. -3*(r - 1)*(2*r + 1) Suppose -66*l = -93 - 39. Suppose -2*a + h = -12, -a = 3*h + 9 - 1. Factor 0 + 15/2*d**l + 3/2*d**a - 6*d**3 - 3*d. 3*d*(d - 2)*(d - 1)**2/2 Let d(q) = 18*q + 76. Let r be d(-4). Factor 1/4*t**5 + 0 - t**r + 0*t - 1/2*t**2 + 5/4*t**3. t**2*(t - 2)*(t - 1)**2/4 Let s(f) be the third derivative of f**7/70 + 3*f**6/40 - 7*f**5/20 - 15*f**4/8 + 9*f**3 - 134*f**2. Factor s(y). 3*(y - 2)*(y - 1)*(y + 3)**2 Let n(t) be the first derivative of -t**5/360 + t**4/144 - 16*t**2 + 14. Let o(l) be the second derivative of n(l). Factor o(p). -p*(p - 1)/6 Let d(y) be the third derivative of -14*y**2 + 1/105*y**7 + 0 + 1/6*y**4 + 0*y**3 + 1/6*y**5 + 0*y + 1/15*y**6. Find c such that d(c) = 0. -2, -1, 0 Let f = 1363/2 + -4079/6. Factor -1/3*s**4 + 1/3*s**2 + 0 - 5/3*s + f*s**3. -s*(s - 5)*(s - 1)*(s + 1)/3 Let z(m) be the third derivative of 4*m**2 + 0 - 1/50*m**5 - 1/300*m**6 + 0*m**4 + 4/15*m**3 + 0*m. Determine w so that z(w) = 0. -2, 1 Factor 0 - 1/2*f**4 + 1/6*f**5 + 1/2*f**2 - 5/6*f**3 + 2/3*f. f*(f - 4)*(f - 1)*(f + 1)**2/6 Let l(x) be the third derivative of x**7/315 + x**6/60 - x**5/90 - x**4/12 + x**2 - 39*x. Factor l(t). 2*t*(t - 1)*(t + 1)*(t + 3)/3 Let x(g) be the third derivative of 0 + 0*g**3 + 0*g - 1/12*g**6 - 3*g**2 - 1/3*g**5 - 5/24*g**4 + 5/112*g**8 + 2/21*g**7. What is m in x(m) = 0? -1, -1/3, 0, 1 Let f(r) be the first derivative of r**9/2016 - r**7/112 + r**5/20 - 4*r**3/3 + 6. Let m(v) be the third derivative of f(v). Let m(y) = 0. What is y? -2, -1, 0, 1, 2 Let y(t) be the first derivative of -3/20*t**5 - 6*t**2 + 3/4*t**4 + 0*t**3 - 22 + 12*t. Determine d, given that y(d) = 0. -2, 2 Let m(y) = 3*y**4 - 5*y**3 - 26*y**2 + 14*y + 38. Let q(i) = 17*i**4 - 30*i**3 - 154*i**2 + 81*i + 227. Let a(s) = 13*m(s) - 2*q(s). Factor a(z). 5*(z - 2)**2*(z + 1)*(z + 2) Let j be 1*4 - (16 - 14). Factor 36 - 6*f**j + 7*f**2 + 30*f - 6*f + 3*f**2. 4*(f + 3)**2 Suppose 16/9*z**3 + 3905/9*z + 536/9*z**2 - 10082/9 = 0. What is z? -71/4, 2 Let k(a) = -300*a**3 - 540*a**2 + 1090*a - 180. Let q(r) = -25*r**3 - 45*r**2 + 91*r - 15. Let g(w) = -3*k(w) + 35*q(w). Solve g(z) = 0. -3, 1/5, 1 Let z be 6/(-14)*(-2181)/(-9). Let c = z - -104. Factor 4/7 - 4/7*w + c*w**2. (w - 2)**2/7 Let t(j) be the first derivative of j**9/8064 - j**7/1120 + j**5/320 - j**3 + 14. Let r(
{ "pile_set_name": "DM Mathematics" }
6*l + 5. Suppose 14*a - 33 = -5*v + 12*a, -v + 4*a = 11. Let o(g) = -g**3 + g - 1. What is v*o(k) + c(k)? 2*k**3 + 4*k**2 - k Let v(r) = -2 - 5 + 3*r + 2 + 1 + 5*r**2 + 4*r**3. Let h(x) = 2*x**3 + 2*x**2 + x - 2. Let g be (-8 - -1 - -1) + 1. What is g*h(q) + 2*v(q)? -2*q**3 + q + 2 Let x(v) = -4*v**2 - 2*v - 19. Let b(m) = -12*m**2 - 6*m - 56. Let g(s) = 6*b(s) - 17*x(s). Let k(r) = 2*r**2 + r + 6. What is 3*g(n) + 7*k(n)? 2*n**2 + n + 3 Let l(h) = 2*h**2 + 2*h + 1. Let w(b) = 3*b**2 + 4*b + 2. Give 7*l(x) - 4*w(x). 2*x**2 - 2*x - 1 Let c(t) = -6 + 2*t**3 + 3*t**2 + 2 - t**3 - 8*t**2 - 6*t. Let l(d) = 2*d**3 - 11*d**2 - 13*d - 9. What is -13*c(v) + 6*l(v)? -v**3 - v**2 - 2 Let b(m) = -10*m - 25. Let d(p) = 3*p + 8. Calculate -2*b(k) - 7*d(k). -k - 6 Let i(w) = -w**3 + 3*w + 4. Let a(y) = -y**3 + 4*y + 5. Let f(q) = -2*q - 5. Let p be f(-6). Suppose -5*g - 18 = p. Give g*a(z) + 6*i(z). -z**3 - 2*z - 1 Let l(v) = 5*v**2 + 5*v + 1. Let s(u) = -11*u**2 - 9*u - 3. Determine 7*l(m) + 3*s(m). 2*m**2 + 8*m - 2 Let g(h) = -7*h**3 - 2*h**2 + 2. Suppose 4*o + o = -10. Let a(c) = c**3 + c**2 - c - 1. Calculate o*a(f) - g(f). 5*f**3 + 2*f Let l(f) = -4*f - 2. Let m(i) = 9*i + 5. Let w(h) = 5*l(h) + 2*m(h). Let k(u) = u. Let s = -9 + 8. Give s*w(a) - k(a). a Let r(j) = -4*j**3 - 2*j**2 - 2*j + 2. Let o(w) = w - 14. Let m be o(12). Let t(b) = -b**3 - b + 1. What is m*t(f) + r(f)? -2*f**3 - 2*f**2 Let n(g) = -4*g + 4*g**2 + 0 + 4 - 3*g**2. Let t(c) = 3*c - 15. Let q(z) = -3*z + 13. Let p(d) = 6*q(d) + 5*t(d). Give -2*n(o) + 3*p(o). -2*o**2 - o + 1 Let i(l) = -148*l**2 - 28*l + 28. Let t(f) = 27*f**2 + 5*f - 5. What is -5*i(p) - 28*t(p)? -16*p**2 Let u(s) = s**2 + 9*s - 4. Let n(c) = -c**2 - 6*c + 3. Determine -7*n(q) - 5*u(q). 2*q**2 - 3*q - 1 Let p(w) = 9*w**2 - 6. Let m(j) = -35*j**2 + 25. What is 6*m(o) + 25*p(o)? 15*o**2 Let n(t) = -9*t**3 - 4*t**2 - 3*t + 3. Let g(f) = -8*f**3 - 3*f**2 - 2*f + 2. Give -3*g(y) + 2*n(y). 6*y**3 + y**2 Let p(r) = 39*r - 28*r - 7*r**2 - 20*r. Let n(f) = -3*f**2 - 4*f. Give 10*n(m) - 4*p(m). -2*m**2 - 4*m Suppose -4*g + 5*j = -22, 3*g + j + 5 = 4*g. Let k(s) = -9*s + 9. Let n(l) = 5*l - 5. Calculate g*k(t) + 5*n(t). -2*t + 2 Let x(j) = 10*j**3 + j**2 - 1. Let l be x(1). Suppose -4*m + l = -10. Let o(h) = 1 - 2 + 2. Let r(d) = -2*d + 5. Determine m*o(c) - r(c). 2*c Let y(i) = -100*i**2 + 55*i - 55. Let a(h) = 11*h**2 - 6*h + 6. Determine 55*a(g) + 6*y(g). 5*g**2 Let i(o) = -o + 1. Let u(w) = -2*w**2 - 3*w + 6. What is -2*i(p) + u(p)? -2*p**2 - p + 4 Let p be (6 - 3)*4/(-3). Let q(d) = -d - 1. Let u(j) = -2*j - 6. Calculate p*q(w) + u(w). 2*w - 2 Let d(a) be the second derivative of 5*a**3/6 - 4*a. Let s(h) = 3 - 11*h - 3. Suppose 3*p + 4*u - 8 = p, 0 = 4*p - 2*u - 16. What is p*s(r) + 9*d(r)? r Let q(n) = -82*n**2 + 8*n. Let k(c) = -27*c**2 + 3*c. Give 8*k(x) - 3*q(x). 30*x**2 Let y(o) = o**3 + 3*o - 5. Let u(x) be the third derivative of x**6/120 + x**4/24 - x**3/3 - 23*x**2. What is 5*u(d) - 2*y(d)? 3*d**3 - d Let m(u) = u**2 - u - 1. Let n(g) = 3*g**2 - 4*g - 4. Let c be 288/(-60)*5/(-2). Give c*m(t) - 3*n(t). 3*t**2 Let l(b) = 7*b - 2. Let c(v) = -v**2 - 10*v + 10. Suppose 2*q + 4*m = 0, -4*q - 12 = 2*m + 18. Let z be c(q). Let j(t) = -3*t + 1. Give z*j(s) + 4*l(s). -2*s + 2 Let r(i) = -i**2 + i. Let g(l) be the third derivative of -l**4/24 + l**3/3 + 17*l**2. Let d(t) = -2*t**2 - 2*t - 1. Let f be d(-1). Calculate f*g(p) + r(p). -p**2 + 2*p - 2 Let o(x) = -5*x**3 - 8*x**2 + 6*x + 6. Let s(g) = -g**2 + g + 1. Determine -o(p) + 6*s(p). 5*p**3 + 2*p**2 Let h(q) = -1331*q**2 + 77. Let k(c) = 35*c**2 - 2. Calculate -2*h(s) - 77*k(s). -33*s**2 Let s(l) = 2*l + 6. Let o(k) = -k - 3. Calculate -11*o(t) - 6*s(t). -t - 3 Let w(f) = -3 + 9*f - 6*f**2 - 8 + 14*f. Let x(t) be the third derivative of t**5/60 - t**4/6 + t**3/3 - 9*t**2. Let b = -4 - -10. Calculate b*w(a) + 34*x(a). -2*a**2 + 2*a + 2 Let o(g) = -10*g**2 - 100 + 44 + g - g**2 + 51. Let w(y) = 5*y**2 + 2. Calculate 2*o(x) + 5*w(x). 3*x**2 + 2*x Let d(p) = 2*p**3 + 2*p**2 + 2. Let h(s) = 2*s**2 - 8*s**2 + s - s**2 + 8*s**2. Calculate -d(r) + 2*h(r). -2*r**3 + 2*r - 2 Let w(g) = 4*g + 2*g + 2*g - 5*g + 2 - 3*g**2. Let k(d) = 4*d**2 - 4*d - 2. Give 4*k(u) + 5*w(u). u**2 - u + 2 Let t(o) = 12*o**3 - 4*o**2 + 2*o + 4. Let u(f) = 36*f**3 - 11*f**2 + 6*f + 11. Determine -11*t(c) + 4*u(c). 12*c**3 + 2*c Let t(c) = -2*c + 6. Let b(d) = -4*d + 12. Determine 3*b(w) - 7*t(w). 2*w - 6 Let c(v) = -3*v**3 - 2 + v - 2*v - 3*v. Suppose -u - 6 = -4*u. Let l(r) = -7*r**3 - 9*r - 5. What is u*l(a) - 5*c(a)? a**3 + 2*a Let j(p) = -4*p**3 + 4*p + 2. Let s(k) = 17*k**3 - 16*k - 9. What is -9*j(r) - 2*s(r)? 2*r**3 - 4*r Suppose 4*o = -d - 2*d + 12, -o - 5*d = -3. Let y(u) = -u - 5. Let q(i) = 4*i + 24. What is o*q(t) + 14*y(t)? -2*t + 2 Let r(f) = -f + 6. Let z(x) = x - 1. Give r(k) + 6*z(k). 5*k Let h = -7 + 0. Let f(y) = -2*y. Let n(a) be the third derivative of a**4/24 - 6*a**2. Give h*n(o) - 3*f(o). -o Let h(q) be the second derivative of q**4/6 - q**3/2 + q**2/2 - 16*q. Let c(u) = 2*u**2 - 3*u + 1. Determine 4*c(o) - 5*h(o). -2*o**2 + 3*o - 1 Let u(j) = -3*j + 3. Let r(m) = 2*m - 2. Suppose 21 = 5*w + 1. What is w*r(n) + 3*u(n)? -n + 1 Let h(n) = -6*n**2 - 3*n. Suppose 0 = -2*l, 0 = x - 0*l - 2*l - 5. Suppose 0*k - x*k = -20. Let y(p) = 7*p**2 + 4*p. What is k*h(w) + 3*y(w)? -3*w**2 Let a(w) = -3*w**3 + 2*w**2 + 2*w - 2. Let l(d) = 0*d - 5 + 4*d + d - 7*d**3 + 5*d**2. Suppose 2*j + 3 - 7 = 0. What is j*l(t) - 5*a(t)? t**3 Let l(t) = -2*t**3 + 3*t + 7. Let v(r) = 3*r**3 - 5*r - 13. Let h be 0 + 6*(-3)/6. What is h*v(g) - 5*l(g)? g**3 + 4 Let g(s) = 16*s**3 - s**2 + 5*s - 9. Suppose 2 - 29 = -3*r. Let a(q) = -4*q**3 - q + 2. Determine r*a(h) + 2*g(h). -4*h**3 - 2*h**2 + h Let p(o) be the first derivative of -5/2*o**2 - 2*o**3 - 5*o - 2. Let y be (-4)/2*10/(-4). Let u(s) = -7*s**2 - 6*s - 6. Calculate y*u(n) - 6*p(n). n**2 Let t = -53 - -55. Let o(w) = -2*w - 1. Let p(c) = c. Let y(z) = 4*z + 1. Let a(i) = -6*p(i) + 3*y(i). Determine t*a(m) + 7*o(m). -2*m - 1 Let t(j) = 9*j + 2. Let z(b) = -3*b - 1. Suppose -32 = 6*o - 2*o. Calculate o*z(p) - 3*t(p). -3*p + 2 Suppose -d + 6*d + 15 = -3*j, j = -4*d - 19. Let s be -3 + (-3 - d) + 8. Let u(h) = 14*h**2 + 8. Let t(q) = 9*q**2 + 5. Give s*t(w) - 5*u(w). 2*w**2 Let n = 7 + -3. Suppose n*b + 9 = b. Let q(u) = 2*u - 2. Let j(o) = 2*o - 3. Calculate b*j(y) + 4*q(y). 2*y + 1 Let i(q) = q - 4. Let k be i(6). Let h(n) = n. Let p(t) = t + 1. Let j(z) = 2*h(z) - p(z). Let f(a) = -5*a + 5. Give k*f(l) + 9*j(l). -l + 1 Let x(h) be the first derivative of -h**3/3 - h**2/2 + h - 10. Let j(p) = -p**3 + p**2 + p - 1. What is j(c) + x(c)? -c**3 Let y(u) = -14*u**2 - 7*u - 4. Let n(w) = -7*w**2 - 4*w - 2. Determine -5*n(b) + 3*y(b). -7*b**2 - b - 2 Let z(i) = 4*i + 2. Let p be -11 + (-1 - -1) + 1. Let o be 7*1*66/77. Let b(d) = 7*d + 5 - 1 - 1. What is o*b(a) + p*z(a)? 2*a - 2 Let p be 3 + ((-6)/2 - -1). Let k(r) = 2 - 2 + p. Let u(m) be the first derivative of -m**2/2 - 3*m - 1. What is 2*k(g) + u(g)? -g - 1 Suppose -3*n - 3*d = -1 + 13, 0 = -n + 5*d + 14. Let y(h) = 2 + 1 + 4*h - 5 + 1. Let a(r) = r. Calculate n*y(j) + 6*a(j). 2*j + 1 Let p(q) = 20*q**2 + 26*q + 14. Let n = 8 + -14. Let x(i) = -7*i**2 - 9*i - 5. Determine n*p(u) - 17*x(u). -u**2 - 3*u + 1 Let j(d) = -228*d - 227*d + 456*d. Let o(b) = -b - 2. Determine 4*j(c) - o(c). 5*c + 2 Let u(x) = 4*x**2 + x + 1. Let g(y) = -6*y**2 - 2*y - 1. Let w(h) = -5*g(h) - 7*u(h). Let i(f) = 2*f**2 + 3*f - 2. Give -4*i(j) + 5*w(j). 2*j**2 + 3*j - 2 Let z(d) = 5 + 5 - 11 + d. Let p(g) = -2*g + 7. Determine p(m) + 4*z(m). 2*m + 3 Let c(m) = 2*m**2 + 4*m - 6. Let y(x) = -3*x**2 - 7*x + 11. Determine -7*c(b) - 4*y(b). -2*b**2 - 2 Let u(r) = r + 3. Let k(y) = 1. Let m be (-2 + (-1 - 0))*-1. Suppose -2*n - 11 = m*q, -5*q - 2*n - 34 + 9 = 0. Give q*k(f) + 2*u(f). 2*f - 1 Let y(w) = -4*w**3 - 3*w + 16. Let b(u) be the first derivative of u**4/4 + u**2/2 - 5*u + 31. Determine -7*b(z) - 2*y(z). z**3 - z + 3 Let b(v) = -v**3 - v**2 + 4*v - 4. Let z(k) = k**3 - 3*k + 3. Calculate -3*b(t) - 4*z(t). -t**3 + 3*t**2 Suppose -20 = -0*n - 4*n. Suppose -4*r + n*k = -23, -4*r + 5*k + 25 = 2*k. Let g(h) = -5*h**2 + 7*h - 9. Let f(a) =
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from {o: 2, s: 1, n: 1, q: 1, u: 1, b: 1}. What is prob of picking 1 u and 1 s? 1/21 Calculate prob of picking 1 j and 2 a when three letters picked without replacement from ajaaaajajvaaaatgaj. 55/204 What is prob of picking 1 j and 2 c when three letters picked without replacement from {c: 2, a: 3, m: 2, j: 4}? 4/165 What is prob of picking 1 f and 2 h when three letters picked without replacement from {q: 2, i: 3, h: 2, f: 2}? 1/42 Two letters picked without replacement from {d: 1, a: 4, r: 5, e: 4, t: 1}. What is prob of picking 2 a? 2/35 What is prob of picking 1 e and 1 y when two letters picked without replacement from {e: 1, y: 4, q: 1, a: 6, n: 5, x: 3}? 2/95 Two letters picked without replacement from fbblnbn. What is prob of picking 1 n and 1 b? 2/7 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 1, s: 3, k: 1, t: 1, n: 1}. 1/21 Four letters picked without replacement from {z: 7, x: 1, d: 2}. Give prob of picking 1 z, 1 x, and 2 d. 1/30 What is prob of picking 1 g and 1 b when two letters picked without replacement from cnbgnbi? 2/21 Calculate prob of picking 1 b, 1 f, and 1 n when three letters picked without replacement from {t: 7, m: 5, b: 2, n: 2, f: 2}. 1/102 Three letters picked without replacement from eehhhekeehekekee. What is prob of picking 3 h? 1/140 Two letters picked without replacement from {a: 1, e: 1, k: 1, t: 1, p: 1}. What is prob of picking 1 t and 1 k? 1/10 Two letters picked without replacement from xxxzxzxxxx. What is prob of picking 2 z? 1/45 Calculate prob of picking 2 o, 1 a, and 1 n when four letters picked without replacement from bnnbrororabnqqqnq. 1/595 Calculate prob of picking 1 u, 1 f, and 1 x when three letters picked without replacement from bubxwbudbbfuxdb. 6/455 What is prob of picking 1 d and 1 b when two letters picked without replacement from bbddbdb? 4/7 Two letters picked without replacement from {o: 1, z: 1, k: 1, x: 2}. Give prob of picking 1 z and 1 x. 1/5 Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, b: 7, a: 2}. 7/45 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from htnlhllhlkhlkls. 2/35 What is prob of picking 2 u when two letters picked without replacement from {x: 1, f: 1, p: 3, u: 5}? 2/9 Calculate prob of picking 3 t and 1 s when four letters picked without replacement from btaoees. 0 What is prob of picking 1 i and 3 g when four letters picked without replacement from {g: 9, i: 2}? 28/55 Two letters picked without replacement from {p: 2, r: 6, x: 2, o: 1}. What is prob of picking 2 p? 1/55 Two letters picked without replacement from xwhxwxxthixwwtxx. Give prob of picking 2 w. 1/20 What is prob of picking 3 u when three letters picked without replacement from uukuukuuu? 5/12 Three letters picked without replacement from {t: 2, k: 1, o: 2, m: 4, i: 1}. Give prob of picking 1 m, 1 i, and 1 k. 1/30 Three letters picked without replacement from {i: 1, t: 6, g: 4}. Give prob of picking 2 t and 1 i. 1/11 Three letters picked without replacement from {u: 7, m: 1}. What is prob of picking 2 u and 1 m? 3/8 What is prob of picking 1 o and 1 r when two letters picked without replacement from rrrrrrrororrrrrror? 5/17 Three letters picked without replacement from junoojud. What is prob of picking 2 u and 1 d? 1/56 Two letters picked without replacement from emmmemmzemeeeeemmeme. Give prob of picking 1 z and 1 m. 9/190 Two letters picked without replacement from xbhaccy. What is prob of picking 1 c and 1 h? 2/21 What is prob of picking 2 e when two letters picked without replacement from {q: 2, e: 2}? 1/6 Four letters picked without replacement from {a: 2, w: 5}. Give prob of picking 2 a and 2 w. 2/7 What is prob of picking 2 w and 1 i when three letters picked without replacement from rrwwi? 1/10 Three letters picked without replacement from {h: 4, r: 7, v: 4}. Give prob of picking 1 r and 2 v. 6/65 Calculate prob of picking 1 y, 1 b, and 1 h when three letters picked without replacement from ibyhyji. 2/35 What is prob of picking 1 i and 1 x when two letters picked without replacement from {q: 1, p: 2, j: 1, i: 1, h: 1, x: 1}? 1/21 Three letters picked without replacement from ophloolhhhohhhwlleo. What is prob of picking 1 e and 2 w? 0 Calculate prob of picking 3 f when three letters picked without replacement from {p: 2, g: 9, f: 5}. 1/56 Three letters picked without replacement from {y: 1, g: 8, h: 3, l: 3, c: 5}. Give prob of picking 1 g, 1 c, and 1 l. 2/19 Three letters picked without replacement from lluudb. Give prob of picking 1 d and 2 u. 1/20 Two letters picked without replacement from ffiififsfif. What is prob of picking 2 f? 3/11 What is prob of picking 1 u, 1 a, and 1 v when three letters picked without replacement from fpvpfpaauab? 1/55 What is prob of picking 1 r and 1 x when two letters picked without replacement from xsrvq? 1/10 Four letters picked without replacement from exxgmmemxheehxhexpeh. Give prob of picking 1 h, 1 g, 1 p, and 1 e. 8/1615 Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 2, x: 1}. 2/3 Two letters picked without replacement from rbsrlrtrxbbbrb. Give prob of picking 1 r and 1 t. 5/91 Three letters picked without replacement from {o: 5, r: 2}. Give prob of picking 2 r and 1 o. 1/7 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {j: 1, p: 1, z: 1}. 1/3 What is prob of picking 1 m and 2 j when three letters picked without replacement from mmjmjmmjjmm? 14/55 Two letters picked without replacement from {m: 2, u: 1, j: 1, o: 1, e: 1, l: 2}. What is prob of picking 1 m and 1 l? 1/7 Calculate prob of picking 1 y, 1 i, and 1 z when three letters picked without replacement from eeezizayayye. 3/110 Four letters picked without replacement from {c: 3, x: 4, t: 1}. What is prob of picking 1 c and 3 x? 6/35 What is prob of picking 1 c and 1 i when two letters picked without replacement from ippepipdcpppcccp? 1/15 Three letters picked without replacement from uepeekpupuueuupee. Give prob of picking 1 e, 1 p, and 1 k. 3/85 What is prob of picking 1 s and 1 u when two letters picked without replacement from uujpepeeehspejp? 2/105 Four letters picked without replacement from rrjyy. Give prob of picking 1 r, 2 y, and 1 j. 2/5 Four letters picked without replacement from uussysu. Give prob of picking 2 s and 2 u. 9/35 What is prob of picking 1 w, 2 x, and 1 h when four letters picked without replacement from cthhttxwhxwwth? 12/1001 Four letters picked without replacement from yvryirryqyqyrv. Give prob of picking 1 i, 1 v, 1 y, and 1 r. 40/1001 Calculate prob of picking 2 l and 1 f when three letters picked without replacement from lffpl. 1/5 Four letters picked without replacement from {l: 1, v: 4, w: 4, k: 1, d: 1, c: 4}. What is prob of picking 1 k, 2 w, and 1 d? 2/455 Three letters picked without replacement from ioionoionodonnodvid. Give prob of picking 1 o, 1 d, and 1 n. 28/323 Calculate prob of picking 2 w when two letters picked without replacement from dwddddwwdd. 1/15 Three letters picked without replacement from {g: 1, o: 2, s: 3, p: 1}. Give prob of picking 2 o and 1 g. 1/35 What is prob of picking 4 r when four letters picked without replacement from {p: 10, r: 4}? 1/1001 Three letters picked without replacement from {o: 2, h: 18}. Give prob of picking 1 o and 2 h. 51/190 What is prob of picking 2 n and 1 z when three letters picked without replacement from nnnsbyzbnnb? 2/33 Three letters picked without replacement from xxcyxcrssxxs. Give prob of picking 1 r, 1 x, and 1 y. 1/44 Three letters picked without replacement from {x: 2, h: 1, i: 7}. What is prob of picking 2 x and 1 h? 1/120 Two letters picked without replacement from wehkk. Give prob of picking 1 e and 1 w. 1/10 What is prob of picking 1 t and 1 o when two letters picked without replacement from {z: 3, t: 13, o: 4}? 26/95 Three letters picked without replacement from jjrjraarrrrj. Give prob of picking 3 j. 1/55 Four letters picked without replacement from {p: 7}. Give prob of picking 4 p. 1 Four letters picked without replacement from {g: 4, p: 7}. Give prob o
{ "pile_set_name": "DM Mathematics" }
+ y*j**2 + x*j**3 and give x. -19 Rearrange -42 + 108 - 65 - 939*u to the form b + y*u and give y. -939 Rearrange -31038 - 31043 + 62081 + 5173*r to the form l + b*r and give b. 5173 Rearrange (6 - 3 + 2)*(5*n - 2*n - 4*n)*(-1818 + 973 + 1551) to i + t*n and give t. -3530 Express 31*a**2 + 8*a + 1 - 6*a**2 + 33*a**2 + 20*a**2 - 121*a**2 as u + t*a + f*a**2 and give f. -43 Rearrange (3*y - 8*y - y)*(3 - 2 + 4)*(-3*y + 3*y - 2*y)*(9*y + 15*y - 16*y) to the form j + m*y**2 + q*y**3 + s*y and give q. 480 Express -5*c + 50 + 162 - 209 in the form d + a*c and give a. -5 Rearrange 0*h**2 + 3*h**2 + 3390*h**4 - 5*h**2 + 1 + 29*h**3 + 21*h**3 - 52*h**3 to q + a*h + k*h**4 + x*h**2 + i*h**3 and give k. 3390 Express (5*k - k + 5 - 7)*(330 + 325 + 2367*k**3 + 330 - 985) as w*k**2 + y*k**4 + j*k**3 + f + c*k and give j. -4734 Express -36*b - 4*b**2 - 48*b - b**2 + 82*b - 799 as u + o*b + c*b**2 and give u. -799 Express 12436*l**2 - 14535*l**2 - 28726*l**2 as y + w*l**2 + v*l and give w. -30825 Express (3*p - 11*p**3 + 8*p**3 - p)*(-6 - 487*p - 522*p + 1147*p) in the form l*p**3 + k*p**4 + z*p + u*p**2 + w and give u. 276 Express (72*y + 55*y - 20*y)*(36 + 0 + 19) as h*y + m and give h. 5885 Express (0*b + 0*b + 3*b)*(-40 + 31 + 30)*(-4 - 4*b + 6 - 18*b) as x + h*b**2 + j*b and give j. 126 Rearrange -2*k**3 + 4*k**4 + 2*k**3 + (-7*k**4 + 8*k**2 - 8*k**2)*(224 + 129 - 38) to t*k + d*k**3 + v*k**4 + p*k**2 + x and give v. -2201 Rearrange (-8 - x**2 + 8)*(-4 + 4 - 2*x) - 25*x**3 - 144*x**3 - 2*x**3 + 28*x**3 to the form f + v*x**3 + d*x**2 + j*x and give v. -141 Rearrange -2 + 4*f + 0*f - 546*f**2 - 135*f**2 + 165*f**2 to the form u*f**2 + z + i*f and give z. -2 Rearrange -j**3 - 2*j**3 + j**3 + (4*j - 4*j + j**2)*(-3*j - 3*j + 0*j) + 246875 - 3*j**3 - 210*j - 246875 to the form c + t*j + k*j**3 + x*j**2 and give c. 0 Rearrange (-13*p - 13*p - 7*p)*(0*p + 0*p - p) + 3*p**2 + 5*p - 5*p - 48*p**2 - 54*p**2 + 148*p**2 - 76*p - 47*p**2 to the form x*p + t + l*p**2 and give x. -76 Rearrange -1 - 3*l**3 + 4*l + 2*l**3 - 2*l**3 + l**3 + 53*l**2 - 30*l**2 to the form i*l + w + y*l**2 + o*l**3 and give i. 4 Rearrange -400*k + 9 - 7 - 2*k**3 - 7 + 4*k**3 + 6 to the form z*k**2 + r + h*k + w*k**3 and give w. 2 Rearrange -4*p - 2 - 78*p**4 - 148187*p**2 + 148180*p**2 + 4*p to the form o*p + s + g*p**2 + m*p**4 + j*p**3 and give m. -78 Rearrange (9*r + 18 - 18 + (-4 + 0 + 2)*(0*r + 3*r - 2*r) - 2*r + 3*r - 2*r)*((1 + 2 + 1)*(2 - 2 - 2) + 6 + 25 + 15) to the form v + a*r and give a. 228 Rearrange -21*n - 234*n**2 - 364*n**2 + 513*n**2 - 1 to the form g*n + m + x*n**2 and give x. -85 Rearrange (-10*k**2 - 5*k**2 + k**2)*((2 - 2 + 2*k)*(60 - 24 + 1) - 2*k - 4 + 5*k - 4*k) to the form v*k**3 + s*k + y + g*k**2 and give s. 0 Express -2403*k - 39 + 20 - 8852*k + 19 as o*k + j and give o. -11255 Rearrange 50674*f - 108363*f + 49556*f to q*f + p and give q. -8133 Express -444 - 38*q**3 - 39*q + 2*q**2 + 444 - 27*q**3 - 53*q**3 as m + v*q + r*q**2 + g*q**3 and give v. -39 Rearrange 3176*m**2 - 2092*m**2 + 6331*m**2 - 1644*m**2 + 2 + 5079*m**2 to a + k*m + g*m**2 and give a. 2 Express 8*k**3 - 20274723*k + 14*k**2 + 2*k**2 - 1 + 20274724*k - 2*k**4 in the form b*k**4 + u + t*k**3 + v*k + r*k**2 and give t. 8 Express 7986*c**2 + 4315*c**2 + 7017*c**2 in the form t*c**2 + k*c + u and give t. 19318 Express -2 + 5*h**3 - 7164*h**2 + 7112*h**2 - h**3 + h + 9*h**3 in the form t + n*h**2 + r*h + g*h**3 and give t. -2 Rearrange 11 - 15 + 152 + 21*z - 8 + 108 to the form x + v*z and give v. 21 Express (5 - 15 - 43)*(2*f - 4 - f - 6) in the form s*f + a and give a. 530 Express (15*b + 15*b - 23*b)*(-23*b**3 - 52*b**3 - 71*b**3) as f + j*b**3 + v*b**2 + c*b + o*b**4 and give o. -1022 Express 39 - 4*u**2 - 19 - 23 + 37*u**3 + 5*u**2 as l*u**3 + a*u**2 + j + h*u and give l. 37 Express (2*k**2 - 6*k**2 + 2*k**2)*(k + 3 - 3)*(-1175*k + 4944*k + 868*k) as r*k**2 + x*k**3 + m + l*k**4 + f*k and give r. 0 Express 1548*p + 0*p**3 + 201*p**2 - 117*p**2 - p**3 - 87*p**2 as v*p + r + q*p**2 + i*p**3 and give q. -3 Express 2*u**2 + 22*u - 205452*u**3 + 1 + 1 + 205453*u**3 + 0 in the form v*u**3 + m*u + r + f*u**2 and give m. 22 Rearrange (3*j - 2*j + 0*j)*(0 - 2 - j**3 - j**3) + (4*j**4 + 0*j + 0*j)*(7 + 35 - 8) - 2*j - 4*j**4 + 2*j to d*j**2 + h + x*j + c*j**3 + k*j**4 and give x. -2 Express (-b**3 + 3*b**2 - 3*b**2)*(-3422*b - 2423*b + 1970*b) in the form g*b + l*b**2 + v*b**3 + u + k*b**4 and give k. 3875 Express (6 + 5 - 2 - 1 + 1)*(910*y + 523*y - 1006*y) as u*y + r and give u. 3843 Rearrange -10*g + 118*g**2 + 56*g**2 + 9*g + (-18*g - 6*g**2 + 18*g)*(-2 + 4 + 1) to l*g + z*g**2 + p and give z. 156 Express -2*f + 1775*f**2 + 2*f + 2230*f**2 in the form u*f + x + p*f**2 and give p. 4005 Rearrange (-324*y**2 + 12*y**2 + 4 - 354*y**2)*(-2*y + 3*y - 6*y) to the form v*y**3 + c*y**2 + i*y + l and give v. 3330 Express (1 - 1 - 2*d)*(3947 + 3005 + 3477 - 4195 + 4801 + 5100) as a*d + h and give h. 0 Express (2*m - 2*m + 3*m)*(0 - 2 + 0) + 2*m + m + 0*m - 7047 + 593*m + 7047 + (-1 + 1 - 2*m)*(4 - 2 + 0) in the form h + z*m and give z. 586 Rearrange 32819*w + 32821*w - 329 - 65634*w to r*w + m and give m. -329 Express (4132*o - 1430*o - 1466*o)*(-3 + 2 - 1) - 5*o + 5*o - o in the form p*o + y and give p. -2473 Rearrange 1151*h + 877*h + 1513*h + 911*h - 643*h to the form q*h + b and give q. 3809 Express 2*d**4 + d**3 - 15618 + 7812 + 7*d + 3*d**2 + 7801 - 6*d**4 as t*d**2 + q*d**4 + x + l*d + b*d**3 and give q. -4 Rearrange 14*y**4 + 5*y**2 - 12*y**4 + 122*y**3 - 130*y**3 to k*y**4 + c + g*y + m*y**2 + w*y**3 and give k. 2 Rearrange -6*m**3 - m + m**3 - 112 + 152*m**4 + 7*m**3 - 2*m + 115 to the form a*m + n*m**3 + r*m**2 + p*m**4 + x and give a. -3 Express -5941*i - 2969*i - 8852*i - 12488*i - 1383*i as g + r*i and give g. 0 Rearrange -408*r + 225*r**2 + 22*r**3 - 2 - 499*r**2 + 272*r**2 + (0*r**2 - r**2 + 3*r**2)*(-r + 2*r + 2*r) to l + g*r**2 + i*r + n*r**3 and give g. -2 Rearrange (-f**2 + 4*f**2 - 4*f**2)*(f - f + f) + (79*f + 115*f + 85*f)*(-2*f**2 + 2*f**2 - 2*f**2) to the form m*f**2 + c*f**3 + n*f + t and give t. 0 Express -8479*m - 5823*m + 4984*m in the form s*m + w and give s. -9318 Express 17165*x + 4 - 16931*x - 2 + 8 + (-4 + 6 - 1)*(-x + 2*x + 0*x) - x - x + 3*x in the form u*x + f and give u. 236 Express -168*g**3 + 3*g + 166696*g**2 - 83352*g**2 - 83356*g**2 as x*g**3 + m + f*g + y*g**2 and give f. 3 Express -124 - 237*p - 273*p + 518*p as f*p + k and give k. -124 Rearrange 514*d**3 - 255*d**3 - 258*d**3 - 21 - 3*d**2 + 2*d to the form f + a*d + r*d**3 + l*d**2 and give f. -21 Rearrange -5 - 2*z**2 + 3*z**3 - 292*z - 163*z + 432*z + z**4 to m*z**3 + f*z**4 + o*z**2 + p + d*z and give p. -5 Rearrange -5*i + 18 + i**4 + i**3 + 3*i**4 - 36*i**2 + 34*i**2 + 0*i**3 + 7*i to g*i**4 + s*i**2 + j + k*i + f*i**3 and give f. 1 Rearrange -741 - 697 - 13 + 2*l + 107 to the form k*l + u and give u. -1344 Express 1165 - 2*p - 1165 + 3*p**4 + ((1 + 1 - 4)*(-1 + 0 + 3) + 11 - 5 + 0)*(-6*p**4 + 3*p**4 + 0*p**4) as a*p**2 + x + l*p**4 + n*p**3 + d*p and give d. -2 Express 3815 + 3822 + 17*x + 8*x**3 + x**2 - 7635 + 87*x**3 in the form p*x**3 + y*x + f + t*x**2 and give f. 2 Express 28 - 80 + 25 + 27 + 13283*m as w + l*m and give l. 13283 Rearrange -4742*a**2 + 8*a + 8*a**3 + 11*a**3 + 4781*a**2 + 9*a - 12*a to the form r*a + l + t*a**3 + s*a**2 and give t. 19 Rearrange -15*g**2 - 470*g + 157*g - 54*g**3 - 2*g**4 + 158*g + 156*g to the form y*g**3 + h*g + s + r*g**2 + m*g**4 and give y. -54 Rearrange -142*p**3 - 47*p**3 + 44*p**3 - 24*p**3 - 48*p**3 - 7*p to o*p**2 + m*p + d*p**3 + n and give d. -217 Rearrange 9394 - 4693 - 23020*r - 4701 to i + t*r and give t. -23020 Express -6 + 2*o - 60991*o**3 - 4*o**2 + 60955*o**3 + 3 as s*o**2 + i*o**3 + j + m*o and give m. 2 Rearrange -3*x + 1320 - 83 + 935 - 237 to the form p*x + i and give p. -3 Express o**2 + 607 - 495 + 324 + 0*o**2 in the form f + k*o**2 + v*o and give f. 436 Express (-2 + 2 + 10*j**4)*(1 + 0 + 0 + (-1 + 0 - 1)*(-1 - 1 + 4)) - 37*j**4 - 67*j**4 + 19*j**4 as p*j + w*j**2 + x + c*j**3 + o*j**4 and give o. -115 Rearrange 9*b**4 + 8*b**4 + 1 - 3*b + 164*b**3 - 85*b**3 - 76*b**3 to w*b**4 + x + z*b**2 + t*b**3 + n*b and give w. 17 Rearrange g**3 - 1
{ "pile_set_name": "DM Mathematics" }
iple of 47463 and 124134. 1613742 What is the common denominator of -53/564348 and -95/1572? 564348 Calculate the smallest common multiple of 120855 and 42. 241710 Calculate the common denominator of -3/170366 and -41/490. 5962810 Find the common denominator of 50/136653 and 59/14883. 1503183 What is the lowest common multiple of 69410 and 97174? 485870 Calculate the smallest common multiple of 1479660 and 10. 1479660 Calculate the least common multiple of 51634 and 10. 258170 Find the common denominator of 131/19716 and 103/2544. 78864 What is the smallest common multiple of 38096 and 160? 380960 What is the least common multiple of 7040 and 1024? 56320 Calculate the common denominator of 31/41481 and 71/64107. 705177 Calculate the least common multiple of 90 and 145. 2610 What is the lowest common multiple of 13192 and 1224? 118728 What is the common denominator of -89/54 and -11/281214? 843642 Find the common denominator of -61/4832 and -37/42280. 169120 Calculate the lowest common multiple of 842508 and 10. 4212540 What is the common denominator of -101/585 and -137/31720? 285480 What is the common denominator of 81/10712 and 59/2060? 53560 What is the common denominator of 121/42 and 137/110544? 110544 What is the lowest common multiple of 770340 and 2118435? 8473740 Calculate the common denominator of 24/5795 and 139/6460. 394060 Calculate the least common multiple of 21920 and 4795. 153440 Calculate the least common multiple of 9324 and 764. 1780884 Calculate the smallest common multiple of 121422 and 231. 1335642 Find the common denominator of 71/212 and -113/43248. 43248 Find the common denominator of 101/6480 and -145/96. 12960 Find the common denominator of -169/1974 and -55/1497. 985026 Find the common denominator of -44/977013 and 11/1302684. 3908052 Calculate the common denominator of 83/21420 and 187/360. 42840 What is the common denominator of -26/713109 and -31/475406? 1426218 Calculate the common denominator of 63/557524 and 9/5. 2787620 Calculate the lowest common multiple of 420 and 45850. 275100 Calculate the lowest common multiple of 111276 and 370920. 1112760 Calculate the least common multiple of 2106 and 13806. 124254 Find the common denominator of 41/45 and 29/51696. 258480 Find the common denominator of 53/356 and -27/10160. 904240 What is the smallest common multiple of 1547 and 2652? 18564 Calculate the lowest common multiple of 10788 and 193488. 5998128 Calculate the common denominator of 53/31308 and 113/688776. 688776 Calculate the common denominator of -49/792 and -83/9064. 81576 Calculate the least common multiple of 841698 and 135. 4208490 Calculate the lowest common multiple of 177300 and 900. 177300 Find the common denominator of -93/19600 and 27/3080. 215600 Find the common denominator of 37/8925 and 161/1800. 214200 Find the common denominator of -137/1350 and 131/276. 62100 Calculate the smallest common multiple of 21488 and 26860. 107440 What is the lowest common multiple of 99 and 48? 1584 What is the least common multiple of 581 and 1106? 91798 Calculate the common denominator of 93/17020 and 99/50. 85100 What is the common denominator of 169/265440 and 93/15800? 1327200 Calculate the common denominator of -71/16407 and -31/18. 32814 Calculate the smallest common multiple of 172716 and 189832. 21071352 Calculate the smallest common multiple of 111 and 48147. 1781439 Find the common denominator of 137/140 and -101/10040. 70280 Find the common denominator of 31/1316 and -68/2725765. 10903060 What is the least common multiple of 3396 and 8773? 105276 Find the common denominator of -53/30 and -39/14960. 44880 Find the common denominator of -7/3510 and -43/83070. 249210 What is the lowest common multiple of 735 and 759990? 759990 Find the common denominator of 33/85 and -101/5780. 5780 What is the least common multiple of 3696 and 6384? 70224 What is the common denominator of -1/2017523 and -49/10? 20175230 Find the common denominator of -47/983965 and -8. 983965 What is the lowest common multiple of 10 and 567362? 2836810 What is the smallest common multiple of 338316 and 71764? 2368212 What is the lowest common multiple of 11250 and 300? 22500 What is the least common multiple of 30920 and 1530? 4730760 Find the common denominator of 79/53656 and 51/3883. 590216 Calculate the least common multiple of 28770 and 6713. 201390 Calculate the smallest common multiple of 9126 and 312. 36504 Find the common denominator of 64/531153 and 18/92741. 5842683 What is the smallest common multiple of 28948 and 518? 7497532 What is the least common multiple of 39 and 19617? 19617 What is the least common multiple of 6665 and 13330? 13330 What is the common denominator of 77/1377 and 13/864? 44064 Find the common denominator of -51/57538 and 107/234. 517842 Find the common denominator of 7/188 and -71/10562. 992828 Calculate the common denominator of 81/2420 and 63/18260. 200860 Calculate the common denominator of -52/590625 and 67/75. 590625 Calculate the least common multiple of 45 and 55224. 276120 What is the smallest common multiple of 6936 and 187? 76296 Find the common denominator of -38/11 and -11/143993. 1583923 What is the least common multiple of 39288 and 13096? 39288 Calculate the common denominator of 53/16646 and -51/66584. 66584 Calculate the common denominator of -71/95616 and -79/4. 95616 Calculate the common denominator of 10/8323 and 20/311. 2588453 What is the common denominator of 149/62844 and -139/2088? 10934856 Calculate the smallest common multiple of 3190 and 4785. 9570 What is the smallest common multiple of 9114 and 620? 91140 Calculate the common denominator of 13/136 and 49/6630. 26520 Find the common denominator of -103/84 and 79/3324. 23268 What is the common denominator of 51/550 and 82/1515? 166650 Calculate the least common multiple of 7 and 273625. 1915375 What is the least common multiple of 28700 and 80? 114800 Calculate the common denominator of -71/381896 and 13/954740. 1909480 Calculate the common denominator of -23/120 and -43/1860. 3720 What is the lowest common multiple of 120 and 7545? 60360 What is the lowest common multiple of 6 and 7375? 44250 Find the common denominator of 19/42 and 191/4620. 4620 Calculate the common denominator of -17/1231679 and 8/11. 13548469 Find the common denominator of -65/276 and -53/1092. 25116 Calculate the common denominator of -103/6714 and -101/557262. 557262 What is the least common multiple of 7987 and 627550? 4392850 Calculate the lowest common multiple of 20473 and 1041. 61419 What is the common denominator of -157/2603664 and 149/11070? 13018320 Find the common denominator of -69/160328 and -12/340697. 2725576 What is the least common multiple of 225 and 38715? 580725 What is the lowest common multiple of 3380 and 312? 20280 Find the common denominator of 37/142 and 97/18304. 1299584 Calculate the common denominator of -43/82 and 9/166084. 6809444 Calculate the lowest common multiple of 15792 and 2820. 78960 Calculate the smallest common multiple of 252 and 63. 252 Calculate the smallest common multiple of 565 and 316965. 316965 What is the smallest common multiple of 889 and 1858? 1651762 What is the common denominator of -17/282570 and 127/508626? 2543130 Calculate the common denominator of 45/21712 and 69/8. 21712 Calculate the smallest common multiple of 60145 and 41840. 962320 Calculate the lowest common multiple of 60559 and 7. 423913 What is the lowest common multiple of 113670 and 37890? 113670 Calculate the common denominator of -67/1001040 and -17/139680. 6006240 Calculate the smallest common multiple of 1736 and 341. 19096 What is the common denominator of -29/10879 and 117/336260? 3698860 Find the common denominator of -59/2709 and 155/1218. 157122 What is the lowest common multiple of 60985 and 45? 548865 What is the lowest common multiple of 12 and 5580? 5580 Calculate the least common multiple of 5836 and 4377. 17508 Find the common denominator of -79/60 and 79/156610. 939660 Find the common denominator of -31/248640 and -27/160. 248640 Calculate the lowest common multiple of 25 and 9760. 48800 What is the lowest common multiple of 13920 and 13920? 13920 Calculate the smallest common multiple of 394590 and 56370. 3945
{ "pile_set_name": "DM Mathematics" }
z(h) wrt h. -480*h**3 - 696*h Let z(f) be the third derivative of f**7/15 + f**6/30 - f**4/6 - f**3/2 - 66*f**2. What is the second derivative of z(a) wrt a? 168*a**2 + 24*a Let w(a) = 17*a + 9. Let t(z) = z. Let k(m) = -m**3 - 12*m**2 - 11*m + 3. Let s be k(-11). Let f(o) = s*t(o) - w(o). What is the first derivative of f(u) wrt u? -14 Let d = 34 + -32. What is the third derivative of 5*r**4 - 62*r**d + 70*r**2 + 9*r**4 wrt r? 336*r Let d(j) be the first derivative of j**4 - 17*j**3/3 + 47*j**2 + 372. Find the second derivative of d(c) wrt c. 24*c - 34 Let p(q) = 2*q - 23. Let z be p(14). What is the second derivative of 5*b + 8*b**5 + 10*b**z - b wrt b? 360*b**3 Let g(p) = -p**3 + 8*p**2 - 3*p + 1. Let n be g(7). Suppose r - n = -3. What is the second derivative of -2*k - r + 26 - 4*k**3 wrt k? -24*k Let g(b) be the third derivative of 0 + 3/8*b**4 + 0*b**3 - 31*b**2 + 1/30*b**5 + 0*b. Find the second derivative of g(v) wrt v. 4 Let p(l) be the second derivative of -l**6/5 + l**5/4 - 101*l**4/12 - 75*l. Find the third derivative of p(a) wrt a. -144*a + 30 What is the third derivative of -2*q**5 - 5*q**6 + 26*q**6 + 6*q**3 + 22*q**5 - 243*q**2 - 20*q**5 wrt q? 2520*q**3 + 36 Let p(x) = -x**2 + 3*x + 1. Let y be p(2). Differentiate -q**4 - q**4 + y + 0 wrt q. -8*q**3 Suppose 2*y = 2*f - 0*f, 3*f + y = 16. What is the derivative of -1 + k**f - 13 + 0*k**4 wrt k? 4*k**3 Let i(y) be the third derivative of 3*y**6/2 + 125*y**4/24 + 16*y**2 + 3*y. What is the second derivative of i(v) wrt v? 1080*v Let p(s) be the second derivative of -s**7/168 - s**4/3 - 13*s**3/6 - 22*s. Let q(w) be the second derivative of p(w). What is the derivative of q(l) wrt l? -15*l**2 Find the second derivative of 67*y**2 + 266*y - 3154 + 45*y**2 + 3154 wrt y. 224 What is the third derivative of 5*t**5 - 19*t**2 - 15*t**2 - 19*t**3 + 19*t**3 wrt t? 300*t**2 Let c be 62/14 - (-39)/(-91). Let g(k) be the second derivative of 1/2*k**c - 2*k**2 + 6*k + 0*k**3 + 0. Find the first derivative of g(t) wrt t. 12*t Let q(p) = -10 + 3 - p + 6*p. Let k be q(2). What is the second derivative of 157*y - 3*y**3 - 167*y - 7*y**k wrt y? -60*y Let y = -39 - -45. Find the second derivative of -7*s**2 - 6*s + 14*s - y*s wrt s. -14 Let y(t) be the third derivative of 7/24*t**4 + 0*t - t**3 - 21*t**2 + 0. Differentiate y(a) with respect to a. 7 Suppose -v - 3*v - 4*j - 180 = 0, -4*j - 12 = 0. Let l be (v/35)/((-4)/10). Find the third derivative of 5*p**2 - p - 2*p + 3*p**5 + l*p wrt p. 180*p**2 Suppose -10 = -6*c + 8. What is the third derivative of 5*g**3 - 11*g**3 - 2*g**3 - 2*g**2 - 5*g**c wrt g? -78 Let z(n) be the first derivative of 11*n**4/2 - 76*n**3/3 - 327. What is the third derivative of z(g) wrt g? 132 Let y(w) be the first derivative of 11 + 3/4*w**4 + 0*w**3 + 13*w + 0*w**2. What is the first derivative of y(g) wrt g? 9*g**2 Let m = 14 + -5. What is the first derivative of m + 9*b - 8 - 3 wrt b? 9 What is the third derivative of 44 - 91 + 157*t**4 - 25*t**2 + 49 wrt t? 3768*t Let o(l) = -206*l**3 + 6*l**2 - 6*l - 230. Let t(i) = -206*i**3 + 4*i**2 - 4*i - 231. Let q(m) = 2*o(m) - 3*t(m). What is the first derivative of q(p) wrt p? 618*p**2 What is the second derivative of 7*l**3 - 314*l**2 + 23*l**3 - 108*l + 316*l**2 wrt l? 180*l + 4 Let l be (-1)/(3/6) - -3. Suppose l = -m + 6. Find the third derivative of -36*s + 36*s + m*s**3 + 2*s**2 wrt s. 30 Let s(m) = -766*m**4 + 3*m**3 - 9*m**2 + 3*m + 315. Let y(p) = -766*p**4 + 2*p**3 - 6*p**2 + 2*p + 316. Let i(g) = 2*s(g) - 3*y(g). Differentiate i(t) wrt t. 3064*t**3 Let a be (336/32)/(1/2). Find the second derivative of -o**4 + 14*o + 16*o**2 + 3 - a*o - 3 wrt o. -12*o**2 + 32 Find the third derivative of -4 - 57*n**3 - 273*n**3 - 13*n**3 - 10*n**2 wrt n. -2058 Let l(n) be the second derivative of n**7/210 + n**6/18 + 20*n**3/3 - 38*n. Let m(c) be the second derivative of l(c). Find the third derivative of m(y) wrt y. 24 Find the third derivative of -2*m + 2*m - 29*m**2 - 557*m**4 + 557*m**4 - 103*m**6 wrt m. -12360*m**3 Let g(j) = -274*j**3 - 17*j**2 - 113*j. Let a(q) = -136*q**3 - 8*q**2 - 57*q. Let k(b) = -13*a(b) + 6*g(b). What is the third derivative of k(c) wrt c? 744 Let x(k) be the first derivative of 8*k**4 + 18*k - 123. What is the derivative of x(w) wrt w? 96*w**2 Find the second derivative of -20*y**2 + 3*y + 5*y**5 - 5*y**2 + 4 - 4*y**5 - 11*y**2 wrt y. 20*y**3 - 72 Let p(f) = f**4 + 2*f**3 + f. Let l(z) = 6*z**4 + 39*z**3 + 287*z - 2. Let y(h) = -l(h) + 5*p(h). Find the second derivative of y(b) wrt b. -12*b**2 - 174*b Let x(d) be the second derivative of 0 + 0*d**7 + 0*d**3 + 0*d**6 - 5/56*d**8 - 1/12*d**4 + 3*d + 0*d**2 + 0*d**5. Find the third derivative of x(k) wrt k. -600*k**3 Find the third derivative of -35*s**4 - 2*s**5 + 2*s**2 - 27 - 5*s**2 + s**2 - 122*s**4 wrt s. -120*s**2 - 3768*s Suppose 2 = 6*r - 4. Differentiate r + 17*m**4 - 7 - 5*m**4 wrt m. 48*m**3 Let f(c) = 133*c**4 + 3*c**3 - 6*c**2 - c + 82. Let p(u) = -400*u**4 - 8*u**3 + 16*u**2 + 2*u - 245. Let t(j) = 8*f(j) + 3*p(j). Differentiate t(a) wrt a. -544*a**3 - 2 Let d(i) be the first derivative of 4*i**2 + 10 + 10/3*i**3 + 0*i. Find the second derivative of d(h) wrt h. 20 Let z(d) be the first derivative of -19/3*d**3 + 0*d**2 + 0*d**4 + 0*d**5 + 2 + 0*d + 1/6*d**6. Find the third derivative of z(x) wrt x. 60*x**2 Suppose -3*r - q = -0*q - 18, -3*q + 30 = 5*r. Suppose -t + 11*t - 20 = 0. Find the first derivative of 0*m**3 - r*m**4 - t*m**3 + 2*m**3 - 7 wrt m. -24*m**3 Suppose 9*o = 13 + 5. Let c(h) = -h**2 - h - 1. Let f(x) = 7*x**3 + 2*x**2 + 2*x - 11. Let u(s) = o*c(s) + f(s). Find the first derivative of u(p) wrt p. 21*p**2 Let j(n) = n**2 - n. Let u(t) be the first derivative of -11*t**3/3 - t**2 - 12*t - 2. Let l(q) = 2*j(q) - u(q). Differentiate l(c) with respect to c. 26*c Let z(a) = -382*a**3 - a**2 + 9*a + 876. Let u(t) = -96*t**3 + 2*t + 219. Let r(l) = 9*u(l) - 2*z(l). Differentiate r(o) with respect to o. -300*o**2 + 4*o Let n(g) = -g**3 + 5*g**2 + 9*g - 5. Let t be n(6). Let s = 15 - t. What is the third derivative of 3*j**4 - 11*j**4 - 28*j**3 + 28*j**3 + 6*j**s wrt j? -192*j Suppose -2*t = -5*r + 4 + 49, 0 = 2*r - 4*t - 34. Find the second derivative of -15*k**5 - r*k + 13*k**5 - 6 + 5*k wrt k. -40*k**3 Suppose 83*w + 70 = 97*w. Let m(o) be the second derivative of 3*o + 0*o**2 + 1/4*o**w + 1/2*o**3 + 0 + 0*o**4. Find the second derivative of m(v) wrt v. 30*v Let x(t) be the second derivative of 14*t**6/5 + t**4/12 - 37*t**2 + 54*t. Find the first derivative of x(q) wrt q. 336*q**3 + 2*q Suppose -4*f = -8*f + 24. Find the third derivative of l**2 + f*l - 12*l**2 - 6*l - 35*l**4 wrt l. -840*l Suppose 2*g + 2*d = 5*g - 113, -g = d - 36. What is the third derivative of 49*n**4 - 6*n**2 + g*n**4 - 99*n**4 wrt n? -312*n Find the second derivative of -42 - 13*z**2 + 263*z + 46 - 4 wrt z. -26 Let y(b) = 106*b**2 - 154*b - 6. Let j(d) = -d + 3. Let a(k) = -2*j(k) - y(k). Find the second derivative of a(w) wrt w. -212 Let a(d) be the third derivative of 23*d**10/151200 + 17*d**6/360 + 11*d**5/20 - 20*d**2. Let h(c) be the third derivative of a(c). Differentiate h(k) wrt k. 92*k**3 What is the third derivative of -23*o**2 + 2*o**3 + 0*o**4 - 178*o**5 + 22*o**2 - 3*o**3 + 0*o**4 wrt o? -10680*o**2 - 6 Differentiate -29*u**2 - 7*u**2 + 0*u + 2*u**2 + 142 + 0*u with respect to u. -68*u Let k(v) be the second derivative of 0*v**4 + 0 + 0*v**3 - 2*v**2 - 11/10*v**5 - 27*v. Differentiate k(w) with respect to w. -66*w**2 Let r(a) = 52*a - 1. Let v be r(1). Let f be (v/(-34))/((-3)/8). Find the third derivative of -3*u**f - 3*u**4 + 3*u**2 + 49 - 49 wrt u. -144*u Let i be 14 + 2 + (-4)/2. Suppose 3*w - 5*g - i = 12, -g + 4 = 4*w. What is the third derivative of -5*p**2 + 19*p**6 - w*p**2 + 28*p**6 - 46*p**6 wrt p? 120*p**3 Let l = 3/16 - -7/48. Let i(s) be the first derivative of l*s**3 + 0*s**2 - 3 - 4*s. Differentiate i(o) wrt o. 2*o Suppose -600 + 588 = -4*k. Let f(m) be the second derivative of 1/3*m**k + 0*m**4 + 7/20*m**5 + 0*m**2 + 0 + m. What is the second derivative of f(b) wrt b? 42*b Let x(w) = 3*w**3 + 2*w**2 - 2*w + 1. Let i be x(1). Suppose -5 = i*p - 25. What is the third derivative of -3*o**4 - 9*o**2 - p*o**2 - 2*o**2 + 11*o**2
{ "pile_set_name": "DM Mathematics" }
16489642 Calculate the lowest common multiple of 539 and 8723470. 95958170 What is the smallest common multiple of 9234 and 4703508? 89366652 Calculate the lowest common multiple of 33345 and 7676019. 38380095 What is the least common multiple of 433752 and 8480? 8675040 What is the common denominator of 67/119277 and -73/866955? 1188595305 What is the common denominator of 17/1977858 and -25/66221616? 1787983632 Find the common denominator of 83/40 and -97/79110422. 1582208440 Calculate the lowest common multiple of 141832 and 2623892. 5247784 Calculate the lowest common multiple of 5449 and 95880604. 95880604 What is the least common multiple of 25 and 1865? 9325 What is the least common multiple of 136445 and 11? 1500895 What is the common denominator of 25/201693 and 55/537848? 1613544 What is the lowest common multiple of 27577208 and 12? 82731624 What is the common denominator of -65/12600063 and 61/37653? 138600693 Calculate the lowest common multiple of 7455 and 119777. 1796655 What is the common denominator of -71/23437280 and -43/158360? 23437280 What is the lowest common multiple of 35156 and 20614? 32941172 Calculate the smallest common multiple of 5 and 10230252. 51151260 Find the common denominator of 71/880592 and -137/41607972. 166431888 What is the common denominator of 109/40 and -19/11697656? 58488280 What is the lowest common multiple of 73307808 and 6374592? 146615616 Calculate the common denominator of -3/703996 and 73/172. 703996 Calculate the lowest common multiple of 132575643 and 81. 397726929 What is the lowest common multiple of 60 and 2168980? 6506940 Calculate the least common multiple of 1468776 and 1971252. 74907576 What is the smallest common multiple of 8423396 and 795? 126350940 What is the common denominator of 157/68076 and -131/8509500? 8509500 Calculate the smallest common multiple of 40 and 991928. 4959640 Calculate the least common multiple of 17952 and 1555840. 4667520 Calculate the least common multiple of 2016 and 737940. 17710560 Calculate the lowest common multiple of 65169 and 1839214. 16552926 What is the common denominator of -151/3337374 and 39/4? 6674748 What is the common denominator of 25/9882 and 20/14967? 16433766 Calculate the common denominator of 151/3697632 and 11/192. 7395264 Calculate the common denominator of -37/12200 and 127/992030. 1210276600 Calculate the least common multiple of 189 and 21289128. 191602152 Calculate the common denominator of -95/15006 and -13/74538. 4546818 What is the common denominator of 43/776112 and 35/97014? 776112 Calculate the smallest common multiple of 17808132 and 20. 89040660 Find the common denominator of -1/11517114 and 82/9049161. 126688254 What is the least common multiple of 3276 and 2261259? 9045036 Find the common denominator of 55/13278 and -68/25872183. 51744366 What is the common denominator of 1/21019734 and 103/126118404? 126118404 Calculate the smallest common multiple of 75768 and 43296. 303072 What is the smallest common multiple of 7886907 and 21031752? 63095256 Calculate the common denominator of -125/427032 and 65/5184. 3416256 Calculate the least common multiple of 5937 and 322353. 637936587 What is the least common multiple of 1369226 and 9? 12323034 Find the common denominator of 111/17033192 and 91/12387776. 136265536 Calculate the lowest common multiple of 31303814 and 2. 31303814 Find the common denominator of -31/69390 and 139/3691548. 18457740 Calculate the lowest common multiple of 97407 and 292221. 292221 Calculate the lowest common multiple of 50 and 114997. 5749850 Calculate the smallest common multiple of 47810 and 3852120. 26964840 Calculate the lowest common multiple of 32 and 17233600. 17233600 What is the lowest common multiple of 60145598 and 38? 1142766362 Find the common denominator of -1/402 and 11/1815452. 364905852 What is the common denominator of -61/1550 and 56/48897? 75790350 Calculate the common denominator of -64/9015 and 18/123775. 223166325 What is the lowest common multiple of 15 and 1335021444? 6675107220 What is the smallest common multiple of 936 and 139776? 419328 Calculate the lowest common multiple of 50 and 22500460. 112502300 What is the least common multiple of 4189920 and 18? 12569760 What is the lowest common multiple of 1705610 and 175380? 378645420 Calculate the smallest common multiple of 7 and 28256584. 197796088 Calculate the smallest common multiple of 47766812 and 26. 620968556 Calculate the lowest common multiple of 1557 and 865692. 865692 What is the common denominator of -41/529 and -97/20860? 11034940 What is the least common multiple of 2049775 and 4420? 8199100 What is the smallest common multiple of 323320 and 142293132? 1422931320 Find the common denominator of -1/81372 and 59/31788. 215554428 Calculate the common denominator of 17/11415 and 23/21597180. 21597180 What is the smallest common multiple of 217800 and 56562660? 565626600 Calculate the common denominator of -111/35530 and -72/408595. 817190 What is the lowest common multiple of 918320 and 2401760? 31222880 Calculate the common denominator of -61/571855452 and 125/33638556. 571855452 Calculate the lowest common multiple of 587880 and 132480. 9406080 Calculate the lowest common multiple of 4319008 and 62144. 8638016 Calculate the lowest common multiple of 756 and 2016306. 28228284 What is the common denominator of 89/18 and 35/9205222? 82846998 Calculate the least common multiple of 30 and 62700. 62700 Calculate the common denominator of 39/24997252 and 34/623. 24997252 Calculate the smallest common multiple of 32616 and 5112. 2315736 Find the common denominator of -69/9216490 and 61/9378. 82948410 What is the smallest common multiple of 11919270 and 439131? 83434890 Calculate the common denominator of -39/784 and 45/87332. 2445296 Calculate the common denominator of 5/74145687 and 52/28919. 815602557 Find the common denominator of 85/453894 and -103/111204030. 111204030 Calculate the least common multiple of 123200 and 1969968. 196996800 Calculate the smallest common multiple of 3402714 and 5671190. 17013570 Calculate the common denominator of -62/66175 and 3/3770. 49895950 What is the common denominator of -29/1079078 and 41/1863862? 20502482 Find the common denominator of -79/5928 and 49/298272. 5667168 Calculate the lowest common multiple of 70481418 and 70481418. 70481418 Calculate the common denominator of 163/4227810 and -50/8109. 215618310 What is the smallest common multiple of 57 and 210915303? 4007390757 What is the smallest common multiple of 27010 and 5322430? 196929910 What is the least common multiple of 50206 and 1830588? 23797644 Calculate the common denominator of 37/3675 and -2/48610905. 1701381675 Find the common denominator of -113/1740 and 211/4410. 255780 Calculate the least common multiple of 118022 and 1062198. 1062198 What is the common denominator of 11/12 and 77/98185863? 392743452 Calculate the common denominator of -14/2601775 and 39/5203550. 5203550 Find the common denominator of -7/2828302 and 3/10122344. 192324536 Calculate the smallest common multiple of 1860 and 212241996. 1061209980 What is the least common multiple of 1813 and 11753? 3044027 Calculate the smallest common multiple of 149566 and 15640. 68800360 What is the lowest common multiple of 30953760 and 39? 402398880 Find the common denominator of -53/409216 and -19/3026432. 420674048 Calculate the smallest common multiple of 43024840 and 90. 387223560 Calculate the common denominator of 139/259722 and -3/2164. 281019204 Calculate the lowest common multiple of 139973405 and 4329. 1259760645 Calculate the common denominator of 14/56355 and -181/771630. 10031190 What is the common denominator of 89/32 and -71/3143380? 25147040 What is the least common multiple of 795130 and 130? 10336690 Find the common denominator of -3/21543137 and -24/21543137. 21543137 Calculate the common denominator of -68/106023345 and -101/4. 424093380 Find the common denominator of -113/551496 and -167/1002720. 11029920 What is the least common multiple of 1044 and 61074? 122148 Calculate the lowest common multiple of 1300 and 41600. 41600 Calculate the smallest common multiple of 11592153 and 154562040. 463686120 What is the least common multip
{ "pile_set_name": "DM Mathematics" }
10, 10011, 10680, 11601, 12858? 14535 What comes next: -834718, -3338880, -7512484, -13355530, -20868018, -30049948, -40901320? -53422134 What comes next: 3619677, 3619410, 3619143, 3618876, 3618609? 3618342 What comes next: -233407, -233782, -234157, -234532, -234907? -235282 What is the next term in 740413, 1480943, 2221473, 2962003? 3702533 What comes next: -172, -538, -1292, -2584, -4564, -7382, -11188? -16132 What comes next: -65023, -129873, -194715, -259549, -324375, -389193, -454003? -518805 What comes next: -494, -944, -1382, -1808, -2222, -2624, -3014? -3392 What is the next term in -2617, -18648, -62157, -146884, -286569, -494952, -785773? -1172772 What comes next: -1690745, -3381521, -5072307, -6763109, -8453933, -10144785, -11835671? -13526597 What comes next: 2077, 3907, 5625, 7231, 8725, 10107? 11377 What is next in 1304332, 1304295, 1304204, 1304035, 1303764? 1303367 What is the next term in -78704, -157218, -235530, -313640, -391548, -469254? -546758 What is next in 5229, 4474, 3717, 2958, 2197? 1434 What comes next: 110, 298, 678, 1358, 2446? 4050 What is next in -3183885, -3183792, -3183697, -3183600, -3183501, -3183400? -3183297 What comes next: 552336, 551990, 551412, 550602, 549560, 548286? 546780 What is the next term in -34115, -135305, -303955, -540065? -843635 What comes next: 11064, 8543, 4344, -1533, -9088, -18321, -29232? -41821 What is the next term in 2546, 2352, 1964, 1286, 222, -1324? -3448 What comes next: -9140, -18371, -27608, -36851, -46100, -55355? -64616 What is next in -164, -266, -516, -932, -1532, -2334, -3356, -4616? -6132 What comes next: -249, -3757, -13269, -31785, -62305, -107829, -171357? -255889 What is the next term in -308453, -308643, -308833, -309023, -309213, -309403? -309593 What comes next: 12078, 89172, 296276, 698394, 1360530? 2347688 What is next in -20389190, -40778386, -61167582, -81556778? -101945974 What is next in -294, -317, 6, 675, 1690, 3051? 4758 What is next in 3215789, 6431590, 9647393, 12863198, 16079005, 19294814, 22510625? 25726438 What is next in -16846, -18248, -19650, -21052, -22454? -23856 What is the next term in -32670, -31562, -30456, -29352, -28250? -27150 What is the next term in -10062, -40153, -90264, -160395, -250546? -360717 What comes next: 1117732, 1117502, 1117266, 1117030, 1116800, 1116582, 1116382? 1116206 What is the next term in 33523, 33856, 34189? 34522 What is the next term in 147444, 147467, 147490, 147513, 147536, 147559? 147582 What is the next term in 76, 513, 1722, 4105, 8064? 14001 What is next in 10239135, 10239115, 10239095, 10239075, 10239055, 10239035? 10239015 What is next in 539, 722, 975, 1334, 1835? 2514 What is next in 388834, 777670, 1166506, 1555342, 1944178, 2333014? 2721850 What comes next: -265159, -269392, -273627, -277864, -282103? -286344 What is the next term in -1893, -8197, -18707, -33423, -52345? -75473 What comes next: -842190, -842314, -842438, -842562? -842686 What is next in -4049, -12206, -25855, -45008, -69677, -99874? -135611 What comes next: 27999, 56041, 84083, 112125? 140167 What comes next: 28737, 57623, 86509, 115395, 144281? 173167 What is next in -78799047, -78799069, -78799103, -78799155, -78799231, -78799337, -78799479? -78799663 What is next in 218527, 437098, 655667, 874234, 1092799, 1311362? 1529923 What is the next term in 222478396, 222478399, 222478402, 222478405, 222478408? 222478411 What is next in -2142, 4476, 11092, 17706, 24318? 30928 What is the next term in -689915, -689908, -689901, -689894, -689887? -689880 What is the next term in 152231, 306269, 460305, 614339, 768371, 922401? 1076429 What comes next: 55274921, 55274914, 55274907, 55274900, 55274893? 55274886 What comes next: 446923, 446978, 447033, 447088, 447143, 447198? 447253 What is next in -86271, -345596, -777805, -1382898, -2160875, -3111736, -4235481? -5532110 What is next in 335601, 671153, 1006659, 1342119, 1677533? 2012901 What comes next: 1903, 15253, 51491, 122065, 238423, 412013, 654283, 976681? 1390655 What is the next term in -4731, -10181, -15595, -20973? -26315 What comes next: 27002, 54494, 82006, 109544, 137114, 164722, 192374? 220076 What is the next term in -8507, -8637, -8899, -9359, -10083, -11137, -12587? -14499 What comes next: -7717727, -15435447, -23153167, -30870887? -38588607 What comes next: -2553498, -5106929, -7660362, -10213797, -12767234, -15320673? -17874114 What comes next: -1016155, -2032213, -3048271, -4064329, -5080387? -6096445 What comes next: -166853, -177373, -187891, -198407? -208921 What comes next: -10289610, -20579197, -30868784, -41158371? -51447958 What is next in 252977, 505974, 758971, 1011968, 1264965, 1517962? 1770959 What comes next: -62163402, -62163406, -62163410? -62163414 What comes next: 4512834, 4512853, 4512888, 4512939? 4513006 What comes next: -173754, -695007, -1563758, -2780007? -4343754 What comes next: -6957, -6480, -6023, -5598, -5217? -4892 What comes next: 1745, 2458, 4383, 8126, 14293, 23490? 36323 What is the next term in -544, -2191, -4712, -8113, -12400, -17579, -23656? -30637 What is the next term in 83627, 83382, 83137, 82892, 82647? 82402 What is next in -209416, -209351, -209280, -209203, -209120, -209031, -208936? -208835 What comes next: -254942, -255552, -256178, -256826, -257502, -258212, -258962? -259758 What is the next term in 267854610, 267854614, 267854620, 267854628? 267854638 What is the next term in -25202, -50409, -75606, -100793, -125970, -151137? -176294 What comes next: -3277755, -6555416, -9833077, -13110738, -16388399? -19666060 What comes next: 6103484, 12206965, 18310436, 24413891, 30517324, 36620729, 42724100? 48827431 What is next in -16618209, -16618214, -16618221, -16618230? -16618241 What is the next term in -447, -843, -2017, -4359, -8259, -14107, -22293, -33207? -47239 What is the next term in -669, -4554, -11021, -20070, -31701, -45914? -62709 What is the next term in 12775891, 12775893, 12775897, 12775903, 12775911, 12775921, 12775933? 12775947 What is the next term in 14823, 14852, 14881, 14910? 14939 What is next in -135063, -268365, -401669, -534975, -668283, -801593, -934905? -1068219 What is the next term in -6533, -12054, -17497, -22862? -28149 What is the next term in 132922, 265836, 398736, 531616, 664470, 797292, 930076, 1062816? 1195506 What comes next: -519449, -519419, -519389, -519359, -519329, -519299? -519269 What comes next: -31773, -58486, -85197, -111906, -138613? -165318 What comes next: -97801, -94748, -91697, -88648, -85601? -82556 What comes next: 20432, 19118, 17792, 16454, 15104, 13742? 12368 What comes next: -18526, -74044, -166442, -295612, -461446, -663836, -902674, -1177852? -1489262 What comes next: 22201, 52222, 90053, 135688, 189121, 250346, 319357? 396148 What is next in 44452, 177762, 399946, 711004, 1110936, 1599742, 2177422? 2843976 What is next in -12282494, -24564995, -36847498, -49130003, -61412510, -73695019, -85977530? -98260043 What is the next term in -25152986, -25152975, -25152948, -25152899, -25152822, -25152711, -25152560, -25152363? -25152114 What is the next term in 14952214, 59808842, 134569888, 239235352, 373805234? 538279534 What is next in 5016, 10012, 14924, 19710, 24328, 28736, 32892, 36754? 40280 What is next in 819292, 3277076, 7373382, 13108210, 20481560, 29493432? 40143826 What is next in -647518, -1295045, -1942578, -2590117? -3237662 What comes next: 1714, 1696, 1654, 1576, 1450, 1264, 1006? 664 What is next in 23731, 47591, 71451, 95311, 119171? 143031 What is next in 1275768, 2551676, 3827584? 5103492 What is next in -1999565, -7998224, -17995981, -31992830, -49988765, -71983780, -97977869, -127971026? -161963245 What comes next: 93669, 93553, 93377, 93111, 92725? 92189 What is next in 783429, 3133705, 7050829, 12534801, 19585621, 28203289, 38387805? 50139169 What is the next term in -1154, -6973, -17464, -32627, -52462, -76969, -106148? -139999 What is next in -14400491, -14400490, -14400489? -14400488 What is the next term in -1574340, -1574365, -1574392, -1574421, -1574452? -1574485 What comes next: 35951, 35890, 35829, 35768, 35707, 35646? 35585 What is the next term in -4877626, -19510288, -43898058, -78040936? -121938922 What comes next: -49735, -45851, -35309,
{ "pile_set_name": "DM Mathematics" }
. -17417, -2, 3 Sort -121, 0.2, 32/13, 4, -7 in descending order. 4, 32/13, 0.2, -7, -121 Sort -4, 0, 10, 82, 3, -259, -1 in ascending order. -259, -4, -1, 0, 3, 10, 82 Sort 633, -8, 5, 288 in decreasing order. 633, 288, 5, -8 Sort -1424, 443, -166 in descending order. 443, -166, -1424 Put -398, 293, 0.18, -1/4, -0.06 in descending order. 293, 0.18, -0.06, -1/4, -398 Sort -1, -1.74, 78/349 in decreasing order. 78/349, -1, -1.74 Sort 686, 21079, 5 in descending order. 21079, 686, 5 Put 358, 1/12, -5.21 in increasing order. -5.21, 1/12, 358 Put -15191, 51, 0 in ascending order. -15191, 0, 51 Put 9/176, -6, 0.377, -1/5 in ascending order. -6, -1/5, 9/176, 0.377 Put -0.1, 753/4, 886, 1 in increasing order. -0.1, 1, 753/4, 886 Sort 381, -28, 105 in decreasing order. 381, 105, -28 Sort 0.3, 391/5, -41/53, -23/5 in descending order. 391/5, 0.3, -41/53, -23/5 Sort -2191236, -1/4, 1/5, 2/3 in decreasing order. 2/3, 1/5, -1/4, -2191236 Sort 13, 0, 3, -41, -5 in increasing order. -41, -5, 0, 3, 13 Put 82/3375, 1, -1/6 in increasing order. -1/6, 82/3375, 1 Sort 163, 0.05294, -1, 10. -1, 0.05294, 10, 163 Sort -1, -4, -3394, -12554, 5 in ascending order. -12554, -3394, -4, -1, 5 Put 1188, -2, 8, -35 in ascending order. -35, -2, 8, 1188 Sort 1, -1, -21, 47, -0.1123 in ascending order. -21, -1, -0.1123, 1, 47 Sort -1873, 19601, 1. -1873, 1, 19601 Sort 2/9, 0.33, -30/233, 1, -0.1 in descending order. 1, 0.33, 2/9, -0.1, -30/233 Put -2/749, 31, 67, -4, -2 in decreasing order. 67, 31, -2/749, -2, -4 Sort -68936, 63, -5, 2 in ascending order. -68936, -5, 2, 63 Sort -1, -3, 21368, -4 in increasing order. -4, -3, -1, 21368 Put -8.9, 4, -0.06, -2/5, 0.1434 in increasing order. -8.9, -2/5, -0.06, 0.1434, 4 Sort -27, -47, 3, -220, 8 in descending order. 8, 3, -27, -47, -220 Sort 2/9, -1, -18, 907, 4, -6 in increasing order. -18, -6, -1, 2/9, 4, 907 Sort -0.002, 1, 60/7313, -9 in increasing order. -9, -0.002, 60/7313, 1 Sort -523, -49258, -4 in descending order. -4, -523, -49258 Put 3, -1, 43, -760, -4 in decreasing order. 43, 3, -1, -4, -760 Sort -11, 50, -112697 in descending order. 50, -11, -112697 Sort 13, 4, -3, -6, 12, -5, 18 in descending order. 18, 13, 12, 4, -3, -5, -6 Sort -4/3, 479342, 8/11 in decreasing order. 479342, 8/11, -4/3 Put -112, -5, 63, 24 in decreasing order. 63, 24, -5, -112 Put 1, -28, 539, -710 in decreasing order. 539, 1, -28, -710 Put -8, -1, 5, 73, 182, 3 in decreasing order. 182, 73, 5, 3, -1, -8 Put 4, 3/8, -843, 0.5, -1/4, 30 in decreasing order. 30, 4, 0.5, 3/8, -1/4, -843 Put 1/30, 17, -3, 551 in decreasing order. 551, 17, 1/30, -3 Sort 1541, 2142, 4, -3 in descending order. 2142, 1541, 4, -3 Put -2/5, 2, 184, 0.4, -37, 19, 5 in decreasing order. 184, 19, 5, 2, 0.4, -2/5, -37 Put 1, 420, -4, -5, 1188 in ascending order. -5, -4, 1, 420, 1188 Sort -56189, -4/11, -4 in ascending order. -56189, -4, -4/11 Put -3, 4, -13.03, 59/7 in decreasing order. 59/7, 4, -3, -13.03 Put -192, 2/7, 1375 in increasing order. -192, 2/7, 1375 Sort 199, -171, 2/3, 1, -2/29, 2/17. -171, -2/29, 2/17, 2/3, 1, 199 Sort 4, -13, -46, -152, 2. -152, -46, -13, 2, 4 Put 2/19, 34721, 0.269 in descending order. 34721, 0.269, 2/19 Sort 3, -66, 4, 2, -1, 1864, -5. -66, -5, -1, 2, 3, 4, 1864 Sort 134, 6, -1, 86, -2, 2, 5 in decreasing order. 134, 86, 6, 5, 2, -1, -2 Put 1, -286.1, 0.6, 11.8 in ascending order. -286.1, 0.6, 1, 11.8 Put 0.4, 1/2, -110138926 in descending order. 1/2, 0.4, -110138926 Put 2, -4285, 1773 in descending order. 1773, 2, -4285 Sort 3396739, 0, 33. 0, 33, 3396739 Put 21, 2, 379, -285, -5 in increasing order. -285, -5, 2, 21, 379 Sort -98, 0, -7, 64, 4 in ascending order. -98, -7, 0, 4, 64 Sort 1, -2, -64596, 1520/7 in descending order. 1520/7, 1, -2, -64596 Sort -8, -5, -16, -37, 41, 11, -2. -37, -16, -8, -5, -2, 11, 41 Sort 46, -311, -5, 769, 5 in increasing order. -311, -5, 5, 46, 769 Sort 2/37, -265, -92/17, 2/25 in decreasing order. 2/25, 2/37, -92/17, -265 Put 8, 55, 187031, 3 in increasing order. 3, 8, 55, 187031 Put -39, -108, 2, -242, -5 in increasing order. -242, -108, -39, -5, 2 Sort 4, 1, -2, 2, 183, -4372 in descending order. 183, 4, 2, 1, -2, -4372 Put 20096, -8, 4 in ascending order. -8, 4, 20096 Sort 247573, 4, -2, -4, 5 in decreasing order. 247573, 5, 4, -2, -4 Sort -15, -2/31, -0.19, -35.4. -35.4, -15, -0.19, -2/31 Put 419, -13, -259, -26 in decreasing order. 419, -13, -26, -259 Sort 1, -0.0436, 0.2, -1.21 in ascending order. -1.21, -0.0436, 0.2, 1 Sort -16, -2989, 45, 0 in decreasing order. 45, 0, -16, -2989 Put 5, 4, 1, -879, -3, 22 in increasing order. -879, -3, 1, 4, 5, 22 Put -4, 3, -187160, 35 in ascending order. -187160, -4, 3, 35 Sort 1/2, 8, 131, 3, -4, -0.01, 2/5 in decreasing order. 131, 8, 3, 1/2, 2/5, -0.01, -4 Put -2/23, 1/7, -6870 in descending order. 1/7, -2/23, -6870 Put 0, -4, 2, 5, 65, 475, -3 in increasing order. -4, -3, 0, 2, 5, 65, 475 Put 2, 11638, 5, -61, -4 in decreasing order. 11638, 5, 2, -4, -61 Put 101, 0, -2/41, 4, -0.06, 3 in descending order. 101, 4, 3, 0, -2/41, -0.06 Sort 1, -41, 1104, -15. -41, -15, 1, 1104 Sort -4, 29, -268, 8. -268, -4, 8, 29 Sort 17, 30, -769 in descending order. 30, 17, -769 Sort -328, 89, 6, -1, 8 in ascending order. -328, -1, 6, 8, 89 Put 3, -8, -54767, -4 in descending order. 3, -4, -8, -54767 Sort -5, -7, 614512, 0 in decreasing order. 614512, 0, -5, -7 Sort 3, 143252, -18 in increasing order. -18, 3, 143252 Put 8092, 11, 1/469 in descending order. 8092, 11, 1/469 Put 4, 82, -4, 13, 1, -75, 2 in increasing order. -75, -4, 1, 2, 4, 13, 82 Put -223063, -838, 1 in increasing order. -223063, -838, 1 Sort 5, 857, -5, -14, -2 in ascending order. -14, -5, -2, 5, 857 Sort -114010, 3, 217 in descending order. 217, 3, -114010 Put 3, 0, 11, -7, 863, 4, 1 in ascending order. -7, 0, 1, 3, 4, 11, 863 Sort 0.2, 0.5, -8/7, 18238, 26 in descending order. 18238, 26, 0.5, 0.2, -8/7 Put -97783, 2, -8, -1 in increasing order. -97783, -8, -1, 2 Put 33, -3, -5, 3, 2, -71 in decreasing order. 33, 3, 2, -3, -5, -71 Sort -15.6308, 1, -41, 8/3 in descending order. 8/3, 1, -15.6308, -41 Put 0.251, -46/45, -2, 0.5, -5 in ascending order. -5, -2, -46/45, 0.251, 0.5 Sort -1, 1665304, 11 in ascending order. -1, 11, 1665304 Sort 1/5, 0.1, -95, -65.41, -2. -95, -65.41, -2, 0.1, 1/5 Put -1, 3, 11/5, 413/8, 0.1 in descending order. 413/8, 3, 11/5, 0.1, -1 Put -5, 4, 21, -3354, 2 in descending order. 21, 4, 2, -5, -3354 Put -340, -5, 2/15, -7.84 in descending order. 2/15, -5, -7.84, -340 Sort -7044, 0, 6, -1, -18 in descending order. 6, 0, -1, -18, -7044 Sort 4, 3, 800, 324, -5. -5, 3, 4, 324, 800 Sort 4, -7, 2, 15, -1, -8. -8, -7, -1, 2, 4, 15 Put -11, 1, -5, 7, -2, -21 in ascending order. -21, -11, -5, -2, 1, 7 Sort 0.2, 0.4, 0.10110873 in increasing order. 0.10110873, 0.2, 0.4 Put -5, -13, 5, -143398, 0 in ascending order. -143398, -13, -5, 0, 5 Sort 197, -7, -834 in ascending order. -834, -7, 197 Sort -5234, 79, 0, -4, 20. -5234, -4, 0, 20, 79 Put 25329, -3962, -2 in descending order. 25329, -2, -3962 Sort -1058, 2, 1, -76, 3, -2 in ascending order. -1058, -76, -2, 1, 2, 3 Put -110, -8, 58280 in ascending order. -110, -8, 58280 Put -17603, 0.3, -7/2, 4 in ascending order. -17603, -7/2, 0.3, 4 Sort 1/6, -1075594, -7, 3 in increasing order. -1075594, -7, 1/6, 3 Sort 165, 2079, 12, 6. 6, 12, 165, 2079 Sort -166, 54, 133. -166, 54, 133 Sort 61, 656, 5, -108, -2, -3. -108, -3, -2, 5, 61, 656 Put 362, -82, 1, -2, 1407 in ascending order. -82, -2, 1, 362, 1407 Sort -4/15, 2235, -31, -5, 1/2. -31, -5, -4/15, 1/2, 2235 Sort 49, 64, 3, 10, 1. 1, 3, 10, 49, 64 Sort 1.7, -1/2, -53, 7, -4, 1 in increasing order. -53, -4, -1/2, 1, 1.7, 7 Put -92, -1, -728, -8 in decreasing order. -1, -8, -92, -728 Put 238, -772, 0, -1, 4 in descending order. 238, 4, 0, -1, -772 Put 1, -475/3, 29037 in descending order. 29037, 1, -475/3 Sort 3909, -2, 4323 in ascending order. -2, 3909, 4323 Sort -5, 23, -109581. -109581, -5, 23 Put -27, 2066, -7, -1, 6, 2 in descending order. 2066, 6, 2, -1, -7, -27 Put -0.1, 162, 31, -47 in descending order. 162, 31, -0.1, -47 Sort 68759, 5, 3320 in decreasing order. 68759, 3320, 5 Put 108, 1, -36, 0, 3 in increasing order. -36, 0, 1, 3, 108 Sort 14845, 3, 4, -56, -5 in descending order. 14845, 4, 3
{ "pile_set_name": "DM Mathematics" }
for v. 0 Suppose -4*j = -5*b - 19, 6 = -6*b + 5*b + 3*j. Let l(p) = -p**2 - 6*p. Let a be l(b). Let m = -4 + a. Solve -m*r - 14 = 11 for r. -5 Let g = -5 - -9. Suppose 2*r = -d + 3 - 1, g*d + 2 = 2*r. Let p = 1 - r. Solve -3*v - 7 + 19 = p for v. 4 Let x = -35 + 45. Solve -5*p = -x*p - 20 for p. -4 Let r(o) = -o + 5. Let p be r(5). Let j be -1 + 1 + 2 - 0. Suppose p*y = y - j. Solve 0 = w + 3 + y for w. -5 Suppose -n = -2*n + 3. Suppose 0 = -p - n*p + 36. Suppose 5*i + 5*w - 20 = 0, -2*w + 4 = 3*i - 5*i. Solve p = -2*j + i for j. -4 Suppose -3*y = -2*j - 107, 0 = -2*y - j - j + 58. Suppose y = 4*t - n, 6*t = t - n + 30. Suppose -3*f - 24 = -t*f. Solve p - 3*p = -f for p. 3 Let w = -19 + 22. Suppose 4*s - w*s = 12. Solve -s = -0*g + 4*g for g. -3 Let v be 56/4 - (-2 - -4). Solve 0 = -4*l + v for l. 3 Let q = -15 - -19. Solve 0 = y + q*y + 5 for y. -1 Let n = -1 + 4. Suppose -5*r - n = o, 2*o + 2*r - 46 = 5*r. Suppose 5*g - 3 = o. Solve -h + g = h for h. 2 Suppose 2*j - 2 = 0, -4 = 3*u + 2*u - 4*j. Suppose -5*y + 1 + 24 = u. Solve -y = 5*z + 5 for z. -2 Let r be -1 - (1 - 1 - 7). Let x be (-1 - -12) + -7 + 2. Solve 4*b = -r - x for b. -3 Let v be 1/(-4) + 693/84. Let d(z) = z**3 - 5*z**2 - z + 6. Let p be d(5). Suppose -p - v = -3*l. Solve l*h - 7*h - 4 = 0 for h. -1 Suppose -s - 5 = -2*s + h, s - 1 = 3*h. Suppose 5*l = 8 + s. Suppose 5*d = 4*y + 29, 6*d - 5*y = d + 25. Solve 6*t = l*t - d for t. -3 Let a be ((-3)/4)/(4/(-16)). Solve -8*q - 5 = -a*q for q. -1 Let z = -17 - -7. Let o be (z/25)/((-2)/(-20)). Let p = 7 + o. Solve -l = -4*l - p for l. -1 Let y = 6 - 2. Suppose 21 = 3*d + 3*w, -y*d - 3*w - 2*w + 25 = 0. Solve p = -p + d for p. 5 Suppose -4*r = 5*p + 20, r + r + 3*p + 12 = 0. Suppose 31 = -q + 3*q - 5*v, r = -q - 2*v - 7. Solve q*c + 10 = 5*c for c. 5 Let h = 22 + -18. Solve -h*r + 8 = -2*r for r. 4 Let m(y) = -2*y**2 + 2. Let x be m(2). Let u be (x/(0 - 1))/2. Suppose u = -t + 23. Solve t = -f + 5*f for f. 5 Let j = 1 - -1. Suppose -25 = 5*h + 5*i, 0 = 2*h - j*i - 9 - 1. Solve 3*p = -h*p for p. 0 Let f = -1 + 1. Suppose -4*u = 2*t, -t + 13*u - 12*u + 3 = 0. Solve t*m - 7*m + 20 = f for m. 4 Let b be (9/14 - 2/14)*4. Solve -5*a + 3 + b = 0 for a. 1 Suppose 6*p - 4*f - 8 = 4*p, -12 = -4*f. Solve -p = -3*g + g for g. 5 Let m be 1/(-2) + (-54)/(-12). Suppose m + 0 = 2*d. Solve 0*t - 2*t + d = 0 for t. 1 Let u be ((-6)/9)/(4/(-6)). Suppose 3*t + 12 = -0. Let w = t - -6. Solve u = -o + w for o. 1 Let c be -1 - 1 - (-12)/3. Suppose 0 = -8*s + 3*s + 60. Let p be 4/(-6) - (-8)/s. Solve p = 2*x + c*x - 12 for x. 3 Let w(j) = 5*j**2 - j + 1. Let t be w(1). Solve -6*r + r = t for r. -1 Suppose -3*x = -3*u, -5*x = -0*u - u + 20. Let f = x - -10. Let q = -1 + f. Solve o - 12 = q*o for o. -4 Suppose 2*u + 1 = 5. Let z be (-5)/(-15) + (-69)/(-9) + 4. Suppose 5*v - z = -u. Solve -c + v = -0*c for c. 2 Let l(m) = -m**3 + 4*m**2 - 3*m + 4. Let z be l(3). Solve d = 2*d + z for d. -4 Let t be ((-225)/6)/(-5)*2. Let z = -21 + t. Let f = -3 - z. Solve -f*a = -6*a + 15 for a. 5 Suppose 0 = 3*d - 2*k + 2, 6*d - 3*d - k - 2 = 0. Suppose -4*p + 4*l + 12 = 0, -d*p + 47 = 2*p + 3*l. Suppose -2 = 2*s - p. Solve -s*y = -2*y for y. 0 Let d be (2/6)/((-1)/(-15)). Suppose 19*j = -33 + 185. Solve g - j = -d for g. 3 Suppose 0 = 2*v + 2 - 10. Suppose b = s + v, s - 3*s = 3*b + 8. Let r = b + 1. Solve 0 = -f + r + 1 for f. 2 Let n(u) = 2*u**2 - 2*u - 2. Let f be n(2). Let g be (-84)/(-18) + f/6. Solve g + 1 = -3*l for l. -2 Let g(d) be the second derivative of d**3/6 + 5*d**2 + 3*d. Suppose u = 2*a - a - 6, 0 = -5*u - 5*a - 50. Let z be g(u). Solve -i - 3 = z*i for i. -1 Let m be ((-60)/(-50))/(6/20). Solve m*r = 2*r for r. 0 Let m be (2/5)/(3/15). Suppose -m = n - 4. Solve n*p = -2 - 2 for p. -2 Let b(w) = -w**3 + 3*w**2 + 5*w - 4. Let z be b(4). Solve v = -z - 3 for v. -3 Suppose 5 = 4*t - 3, -l - 4*t + 11 = 0. Suppose l*g = 4*a - 1 - 10, g + 12 = 3*a. Solve -g = -3*p - 0 for p. 1 Let f = 18 + -13. Solve -6 = 3*q - f*q for q. 3 Let w(z) = z**2 - 4*z. Let q be w(4). Solve -p - 2 + 3 = q for p. 1 Let i be 20/3*9/12. Suppose 2*p = -3*p. Solve -i*u + p = -5 for u. 1 Suppose 0 = -4*u - 0 + 12. Suppose 2*v = 3*n + 10 + 3, 0 = -2*v + 10. Let o be 2*n/(-3 - -2). Solve -o = -u*s - 5 for s. -1 Let j = -2 + 4. Let b = j + 1. Solve -z - b = 2 for z. -5 Suppose 3*u - 17 = u + 3*q, -5*q - 15 = 0. Solve -u*t = -0*t for t. 0 Let l = -13 + 13. Let n be 0/1*(1 - l). Solve n = -2*y - 3*y + 20 for y. 4 Let j be ((-4)/22 - (-560)/176)/1. Solve 23 = 5*h + j for h. 4 Suppose 3*m = -2*m + 15. Suppose -2*n - o + 9 = 0, -m*n + 2*n + o = 3. Let c = -13 + 16. Solve -n*w - 5 - c = 0 for w. -4 Suppose -2*i - 20 = 2*i - 4*z, i + z = 5. Solve i = -6*b + 2*b + 12 for b. 3 Let c be 2/3 + 58/(-6). Let n = 12 + c. Solve p + n = -0*p for p. -3 Let g = 19 + -9. Suppose g = -3*h + 5*h. Solve 0*m = -m + h for m. 5 Let y be (8 - 8) + 5*1. Suppose 10*q = y*q. Solve j = 1 - q for j. 1 Let q(p) = p**2 + 4*p - 10. Let u be q(-7). Let o = u - 11. Solve o = 3*m - 6*m for m. 0 Let j = -11 + 51. Suppose 3*w = -5*n + j, -2*n - n - 5*w = -40. Suppose 0 = -0*c - n*c. Solve l + 3*l - 16 = c for l. 4 Let d = 49 + -47. Solve -3*v + d = 5 for v. -1 Suppose -20*t - 10*t = -420. Suppose -5*m = -15, -4*s + s + 2*m = -12. Solve 4*x + s = -t for x. -5 Let o = -70 - -74. Solve -o*t - t = -15 for t. 3 Suppose -2*m - 12 = -6*m. Solve 0 = 4*o - 3*o + m for o. -3 Let c = -11 + 17. Let o(l) = -2 + 10 - 4*l + 3*l. Let h be o(c). Solve h*a = 7*a + 25 for a. -5 Suppose -w = -4*w - 15, 0 = 4*b + w + 53. Let k = -6 - b. Solve -4*h + 2*h = k for h. -3 Suppose -3*i + 12 = -0*i. Solve i*s - 3 = 5 for s. 2 Let f be 2/(-3)*(-8 - 1). Suppose -f = -0*g + g. Let q(b) = b**2 + 5*b - 1. Let m be q(g). Solve -m*i + 4 = -16 for i. 4 Let r = -12 + 5. Let x = r + 1. Let v be -3*(-1 + x/9). Solve 4*y = v*y for y. 0 Let f(x) = -x**2 - 7*x + 23. Let p be f(-9). Solve -n = -2*n + p for n. 5 Let m(y) = -y**2 + 6*y - 5. Let l be m(5). Solve -s + l*s = -1 for s. 1 Suppose 5*i - 3*w = -3 - 2, 2*i + 2*w = -2. Let r be (-3)/i + (1 - -1). Suppose 4*n - r = 27. Solve 8*f - n = 4*f for f. 2 Let i be 1/5 - (-42)/15. Suppose -2*a = 3*a - 2*t - 29, -i*a + 5*t = -25. Solve 0 = a*q - 0*q + 10 for q. -2 Let l = 8 + -5. Suppose -5*q + 5*c = -3*q + 4, 0 = l*q - 3*c - 12. Solve 0 = -2*n - 0*n - q for n. -4 Let p = -24 - -38. Let y(i) = -i**3 + 17*i**2 - 29*i - 13. Let c be y(15). Solve -c + p = -4*g for g. -3 Let i = -7 + 11. Suppose 7*x = -5 + 12. Solve 5*t + i = -x for t. -1 Let v(o) = o**2 - 7*o + 5. Let u be v(4). Let r(g) = g**2 + 5*g - 10. Let i be r(u). Let k = 12 + -10. Solve -i = -k*n + 2 for n. 3 Suppose 4 = -2*x + 3*m, 4*x - m = -4*m + 28. Suppose -6 = 3*w + x*k, -5*w + 16 = -0*k - 2*k. Let l = w + 5. Solve -5*d + l*d = 6 for d. 3 Suppose -9*v = -4*v. Solve v = -0*o + o - 2 for o. 2 Suppose 5*q - 2*g - g = 21, 4*q - 4*g - 20 = 0. Suppose -3*n = -n. Let k = q - n. Solve 1 = k*s + 7 for s. -2 Let w(b) = -2*b**3 - 3*b**2 + 1. Let k be w(-2). Solve 5 = -2*i - k for i. -5 Let c = -55 - -37. Let m be 4/c - (-2)/9. Solve 2*h = -m*h for h. 0 Suppose -5*o + 60 = -o. Suppose o = -b - 4*p, -7*b + 2*b - 5*p = 0. Let j = 7 - b. Solve j*m = 4*m + 8 for m. -4 Suppose 3 = -a + 7. Suppose i - 4*s = 12 + 4, -79 = -a*i + s. Suppose y - 4*b + i = -y, 3*y + 15 = 3*b. Solve 4*l + y + 4 = 0 for l. -1 Suppose -4*t = 16, -4*d + 2 + 6 = -5*t. Let p be ((-72)/3)/d + 0. Solve 0 = -2*z - 2*z - p for z. -2 Suppose 12 = -3*q, -5*p + 3*q - 8 = -30. Let y(b) = 2*b - 1. Let g be y(p). Suppose 2*d - 4 = 2*m, 4*m - 32 = -d - g*d. Solve -5*n = 5 + d for n. -2 Let l be (-30)/(4 + 1) - -12. Solve 10 = l*d - d for d. 2 Suppose 0 = d - 5*g, -3*d - g = 4*g. Solve -s - 1 + d = 0 for s. -1 Let s(b) = b**3 + 6*b**2 - 13*b - 37. Let w be s(-7). Solve 6*u = w*u + 2 for u. 2 Let i = 20 - 11. Solve 0*w = 3*w - i for w. 3 Let k = 4 + 1. Let o be 3 + (-3 - (-2 + 2)). Suppose o*t + t = k. Solve -t*y + 0*y = -5 for y. 1 Suppose -q + 18 = -5*k, 3*q + 2*k = 2*q - 3. Suppose -25 = -4*n - 5*t + 52, 4*t = -3*n + 58. Let p = 25 - n. Solve 16 = -q*a + p*a for a. 4 Let m be -2 - (-1 + -2)/3. Let n = m + 23. Suppose -2*i = 2*v - n, 0*v - 3*v + i + 37 = 0. Solve -4*s + v + 4 = 0 for s. 4 Let f be 11 + -4 + (0 - 1). Let
{ "pile_set_name": "DM Mathematics" }
y**3 + 2*b*y + 3*b + 25*y**3 + 3 wrt b. 5230392*b*y**3 + 408*b What is the third derivative of -48997043*u**3 + 101440*u**2 + 6*u - 4 wrt u? -293982258 Find the second derivative of -115418745*w**2 - 56*w + 242865. -230837490 Find the second derivative of -5*v**5 + 242113*v**2 + 20016617*v. -100*v**3 + 484226 Find the third derivative of 1778283*q*r**3 + 3*q*r**2 + 235*q - 2*r**2 - 2*r - 6 wrt r. 10669698*q Find the third derivative of 3*q**4*y + 234*q**4 - q**3*y - 2560*q**3 - 135*q**2*y + 432*q**2 - 4*q*y + 2*q + 8*y wrt q. 72*q*y + 5616*q - 6*y - 15360 Find the third derivative of -110174905*o**4 - 27293670*o**2 wrt o. -2644197720*o What is the third derivative of -134779466*d**4 - 54942*d**2 - 550*d wrt d? -3234707184*d What is the second derivative of 505801*i**2 + 19763673*i wrt i? 1011602 What is the third derivative of 3017*v**4*z**2 - 59969*v**4 - 68393*v**2*z**2 - 33*v**2 + 2*z - 4 wrt v? 72408*v*z**2 - 1439256*v What is the first derivative of -r**3 + 51*r**2 + 11607*r - 15936991? -3*r**2 + 102*r + 11607 Find the first derivative of 290283587*w*x**2 + 292419833*x**2 wrt w. 290283587*x**2 Find the first derivative of 263052537*a + 238023519. 263052537 What is the first derivative of -6*t**4 + 8166341*t**2 - 36277635 wrt t? -24*t**3 + 16332682*t Differentiate 259651543*q + 511052346. 259651543 What is the derivative of -956*d**3 - d**2 + 1045*d + 69833420? -2868*d**2 - 2*d + 1045 Differentiate 39*k**2*w**3 + 1433*k**2*w - 2404387*k**2 wrt w. 117*k**2*w**2 + 1433*k**2 Find the third derivative of -8246964*a**3 - 5656317*a**2. -49481784 Find the first derivative of 8465181*g*i - 20584465*g - i**4 wrt i. 8465181*g - 4*i**3 Differentiate -a**3*h + 3*a**3*m**2 - 2*a**3*m - 607*a**2 - 365903*a*h*m**3 + a*h*m**2 - m**3 + 171*m wrt h. -a**3 - 365903*a*m**3 + a*m**2 Find the third derivative of -14926916*f**3 + 1751*f**2 + 1208*f + 3 wrt f. -89561496 What is the derivative of -5*d*l**2 - 8473748*d - 47*l**2 - 17436*l wrt l? -10*d*l - 94*l - 17436 Find the third derivative of -3977766*w**4 + 18*w**3 + 1083841247*w**2 wrt w. -95466384*w + 108 What is the derivative of -3184125*a**2 + 3540019 wrt a? -6368250*a Find the second derivative of 1311*y**3*z**4 + 511*y**3*z**3 + 2*y**3 + 8791631*z wrt z. 15732*y**3*z**2 + 3066*y**3*z What is the second derivative of 65*w**5 - 4*w**3 + 53908*w**2 + 218749*w - 131 wrt w? 1300*w**3 - 24*w + 107816 What is the derivative of 3273205*q**3 - 203521? 9819615*q**2 Differentiate 9012379*g*r - 9*g + 73090 with respect to r. 9012379*g What is the third derivative of -159834494*w**4 + 101525*w**2 - 604*w wrt w? -3836027856*w Find the third derivative of -3506*l**6*v + 909*l**6 + 65795551*l**2*v wrt l. -420720*l**3*v + 109080*l**3 Find the third derivative of -4305944*b**5 - 3122325*b**2 + b. -258356640*b**2 What is the second derivative of 25*i**5 - 49602*i**4 - 10*i**3 + 41381155*i? 500*i**3 - 595224*i**2 - 60*i What is the second derivative of 9644*g**5*j + 5964*g**2*j + 2*g*j - 2*g - 5343854 wrt g? 192880*g**3*j + 11928*j What is the first derivative of -15239963*m**3*y + m**3 - m**2*y + y - 22205448 wrt y? -15239963*m**3 - m**2 + 1 Find the first derivative of -19661204*j**2 - 900891 wrt j. -39322408*j What is the second derivative of -j**3 - 19364511*j**2 + 23920825*j? -6*j - 38729022 Find the third derivative of 8047388*r**2*t**3 + 3*r**2*t - 16266*r*t**2 + t**2 wrt t. 48284328*r**2 Find the third derivative of 26383949*i**3*y - 1257*i**2*y + 650*i wrt i. 158303694*y Find the first derivative of -2*f**2 + 71426928*f - 849510635 wrt f. -4*f + 71426928 Find the second derivative of 6904517*c**3 + 18585832*c. 41427102*c What is the derivative of -8267585*f**3 - 2*f**2 - 3*f + 67774393 wrt f? -24802755*f**2 - 4*f - 3 Differentiate 864086911*o**2 + 16453474 wrt o. 1728173822*o Find the third derivative of -35048*a**3*b + 825*a**3 - 10741*a**2*b - a**2 - 3*a*b + 3*a - 9 wrt a. -210288*b + 4950 What is the second derivative of 311*n**3*u*v + 99*n**3*u + n**2 - 2*n*u + 55*u - 5626*v wrt n? 1866*n*u*v + 594*n*u + 2 What is the third derivative of -k**4*q - 1039372*k**4 - k**3 + 19725546*k**2*q wrt k? -24*k*q - 24944928*k - 6 Find the first derivative of b*k**2 + b + 944355*k**2 + 991719 wrt k. 2*b*k + 1888710*k What is the third derivative of -30051898*n**6 + 2439375*n**2 - 2 wrt n? -3606227760*n**3 Differentiate 846014*r**2*w**2 - r**2*w - 776596*r**2 wrt w. 1692028*r**2*w - r**2 What is the second derivative of -120782*i*s*z**2 + 2*i*s*z + 316*i*z**2 + 106369547*i*z wrt z? -241564*i*s + 632*i Find the first derivative of 405709*l - 4654597. 405709 What is the third derivative of 23567*d**3*q*s**3 - 1367138*d**3*q*s**2 - 399*d**3*s**3 - 2*d**3*s + 4*d**2*q*s**2 wrt s? 141402*d**3*q - 2394*d**3 Find the second derivative of 6*j**2*o**3 + 3376*j**2*o**2*p + 435*j**2*p + 3*j*o**3*p - 43*j*o**2*p + 2*j*o**2 + 19*j*o*p + 10*j*p wrt j. 12*o**3 + 6752*o**2*p + 870*p Differentiate 17718*b*p + 66*b + 9187167*p wrt b. 17718*p + 66 Find the third derivative of 84503629*z**4 + 48087261*z**2. 2028087096*z What is the first derivative of 31309902*x**2 - 230773857 wrt x? 62619804*x Find the first derivative of -629254839*z**3 + 755993159. -1887764517*z**2 Differentiate -g**4 + 2452*g**2 + 3362*g + 379808515 wrt g. -4*g**3 + 4904*g + 3362 What is the first derivative of 221308673*g**4 + 64034687 wrt g? 885234692*g**3 Find the first derivative of 23888383*x**2 + 24090122 wrt x. 47776766*x What is the third derivative of -3886*f**4*z - 21*f**4 - 101*f**3*z - f**2*z - 4327*f**2 - 2*f*z + 533*z + 2 wrt f? -93264*f*z - 504*f - 606*z What is the second derivative of -11*t**5 + 2*t**3 + 138707*t**2 - 35262*t - 2 wrt t? -220*t**3 + 12*t + 277414 What is the third derivative of 70993*r**6 + 5*r**5 + 3*r**3 + 5*r**2 - 11114*r? 8519160*r**3 + 300*r**2 + 18 What is the first derivative of -6923*f**2*r**3 - 61*f**2*s**3 - 545178*r**3*s**2 + 2*r**2*s**3 wrt f? -13846*f*r**3 - 122*f*s**3 Find the second derivative of -408578*n**3 - 77*n**2 + 106724313*n. -2451468*n - 154 What is the third derivative of -217*p**5 - 14*p**4 + 497*p**3 - 78*p**2 + 130*p - 6851 wrt p? -13020*p**2 - 336*p + 2982 Find the second derivative of 2*f**2*i*m + 58657640*f**2*m**2 + 18*f**2*m - 5*f*i - 10*f*m - 116*f + 2*i*m**2 wrt m. 117315280*f**2 + 4*i What is the second derivative of 185862528*w**2 + 5*w + 233013? 371725056 Differentiate 27735460*l**2*x**2 - 275*x**2 + x + 4884 with respect to l. 55470920*l*x**2 What is the derivative of -h*y**2 - 10*h*y + 278544878*h + 24*y**2 + 36197*y wrt y? -2*h*y - 10*h + 48*y + 36197 What is the third derivative of -2232*a**3*w - 982*a**3 - 38*a**2*w - 16024 wrt a? -13392*w - 5892 Differentiate 3015176*y*z**2 - 13*y*z + 3*y - 115554190*z**2 with respect to y. 3015176*z**2 - 13*z + 3 Find the second derivative of -72*c*g**2 - 12*c*g - 32*c - 330088*g**4 - 45*g - 1870 wrt g. -144*c - 3961056*g**2 Find the second derivative of 240220553*i**4 + 32*i + 233418 wrt i. 2882646636*i**2 Find the second derivative of -20381*b**2*m**3*y - 1620*b**2*y - b*m**2*y + 34*b*m**2 - b*m - 31*m**3*y + 2*m*y - 641*m wrt b. -40762*m**3*y - 3240*y Find the second derivative of -3148600*w**4 + 44*w**3 + 134536440*w. -37783200*w**2 + 264*w Find the third derivative of 29277*q**2*v**3 - 5*q**2*v**2 + q**2*v - 3*q*v**3 - 23*v**3 - 142381*v**2 wrt v. 175662*q**2 - 18*q - 138 What is the derivative of -3112*a*z**2 - 13*a*z - 9334980*a + z**2 + 18*z wrt z? -6224*a*z - 13*a + 2*z + 18 What is the second derivative of -907427362*l**5 - 180303871*l wrt l? -18148547240*l**3 Find the third derivative of -19*g**5 + 145612*g**3 + 105*g**2 - 115655*g. -1140*g**2 + 873672 What is the second derivative of -2*a**3*f**3 - 374692*a**3*f*u**2 + 794*a**3*u + a**2*f + a*f**3*u**2 - 8*a*f**3 + a*u + 4*f**3 wrt u? -749384*a**3*f + 2*a*f**3 What is the third derivative of -29214*r**3*t**4 + 501*r**3*t**3 + 30*r**3 - 365*r**2*t**2 + 882*r*t**2 + t**3 wrt t? -701136*r**3*t + 3006*r**3 + 6 What is the second derivative of -2234769*d*w**3*y**3 + 56*d*w*y**3 - d*y + 35*d + w**3*y**3 - 5*w*y + y**2 - 10*y wrt w? -13408614*d*w*y**3 + 6*w*y**3 What is the derivative of -20952*q**3 + 9*q**2 + 75*q - 147699583 wrt q? -62856*q**2 + 18*q + 75 Find the third derivative of -140912352*f**5 + 2
{ "pile_set_name": "DM Mathematics" }
3*x**2 Let v(k) be the third derivative of 0 + 0*k**4 + 3*k**2 + 0*k + 0*k**6 - 1/2*k**3 + 0*k**5 - 1/42*k**7. Find the first derivative of v(o) wrt o. -20*o**3 What is the third derivative of 29*a**3 - 4*a**2 + 0*a**2 + 8*a**2 - 5*a**2 wrt a? 174 Let k be 3/12 + 19/4. Suppose -2*r = p - 7, 0*r = -3*r - k*p + 7. What is the second derivative of 5*y**4 - y - r + 4 wrt y? 60*y**2 What is the third derivative of 8495*w**4 + 5*w + 6*w**6 - w**2 - 8500*w**4 - 19*w wrt w? 720*w**3 - 120*w Let o(m) be the third derivative of 11*m**9/504 + 31*m**5/60 - 25*m**2. Find the third derivative of o(z) wrt z. 1320*z**3 What is the first derivative of -102 - 4*k**4 + 95 + 2*k**4 wrt k? -8*k**3 Let o(l) = l**2 + 5*l + 4. Let c be o(-4). Let p(d) be the first derivative of 0*d**3 - 1 + c*d + 1/2*d**4 - 1/2*d**2. Find the second derivative of p(g) wrt g. 12*g Let w be (-27)/(-6) + 1/2. Find the second derivative of 0*n + 7*n + n**w - 2*n wrt n. 20*n**3 Differentiate 18*p**4 - 3*p**2 + 11*p**2 - 26 - 8*p**2 wrt p. 72*p**3 Let d(y) = y**4 + y**3 - y**2 + y - 1. Let f(m) = m**4 - 4*m**3 + 4*m**2 - 4*m + 33. Let p(z) = -4*d(z) - f(z). Find the first derivative of p(c) wrt c. -20*c**3 Let q(f) = -19*f**6 - 3*f**4 + 2*f**2 - 3. Let i(u) = 57*u**6 + 8*u**4 - 5*u**2 + 8. Let p(r) = -3*i(r) - 8*q(r). Find the third derivative of p(b) wrt b. -2280*b**3 Let y(x) be the second derivative of -x**2 - x + 1/3*x**3 + 0. Differentiate y(g) with respect to g. 2 What is the second derivative of 0*w + 0*w - 2*w - w**3 + 5*w**3 wrt w? 24*w Let a be 7/2*16/28. Find the third derivative of 2*v - 3*v**2 + 4*v**3 - 2*v + 4*v**a wrt v. 24 What is the second derivative of -9*m**2 - 703 + 703 + 2*m wrt m? -18 Let b = 82 + -82. Let f(k) be the second derivative of b + 4*k + 1/2*k**2 - 1/6*k**4 + 0*k**3. Differentiate f(y) with respect to y. -4*y Let r(s) be the first derivative of -10*s**3/3 + 5*s**2 - 2. Find the second derivative of r(y) wrt y. -20 Find the first derivative of -20*r - 20*r + 14*r + 3 wrt r. -26 What is the third derivative of 13*w**2 - w**5 + 0*w**5 - 2*w**2 wrt w? -60*w**2 Suppose -5*m + 0*i - 3*i + 19 = 0, 2*m = -3*i + 13. What is the derivative of -k**2 + 2 + k**2 - 4*k**2 + m wrt k? -8*k Find the second derivative of -11*w - 3*w**5 + 159 - 159 wrt w. -60*w**3 Let z(c) = -c**4 - c**3 - c**2 + c - 1. Let n(p) = -3*p**4 - 6*p**3 - 6*p**2 + 13*p - 6. Let l(s) = n(s) - 6*z(s). Find the second derivative of l(b) wrt b. 36*b**2 Differentiate 5 + 11*c**2 - c + c - 20*c**2 wrt c. -18*c Let j(o) be the first derivative of 11*o**6/2 - o**3 + 24. Find the third derivative of j(p) wrt p. 1980*p**2 Let v(s) = s**2 - s. Let f(t) = -t**3 - 3*t**2 + 4*t. Let z = -2 + 4. Let m(a) = z*f(a) + 6*v(a). Find the second derivative of m(p) wrt p. -12*p Find the second derivative of 14 - f**2 - 10 - 7*f - 4 wrt f. -2 Let b(l) be the third derivative of 1/24*l**6 + 6*l**2 + 5/6*l**3 + 0*l**5 + 0*l**4 + 0*l + 0. What is the derivative of b(z) wrt z? 15*z**2 Let r(m) be the first derivative of -28*m**5/5 - 2*m**3/3 + 20. What is the third derivative of r(j) wrt j? -672*j Let r(m) = -m**2 - m + 1. Let l(w) = w**2 + 2*w - 1. Let c(j) = 3*l(j) + 6*r(j). What is the first derivative of c(o) wrt o? -6*o Suppose w - 4*w = 2*q - 14, -8 = -2*w - q. Let g = -7 - -12. Find the first derivative of -g*t**3 - 2 + 1 + w*t**3 wrt t. -9*t**2 Suppose s + 0*w = 2*w + 8, -5*s + 26 = -3*w. Find the first derivative of -g**3 + 12 + 4*g**2 - s*g**2 - 8 wrt g. -3*g**2 Suppose 3*v + 3*i = 0, -5*v + 3*i - 10 = -2*i. Let x be v/(12/(-9) - -1). Find the first derivative of 2 - x*j**3 + 0 - 1 wrt j. -9*j**2 What is the second derivative of -7*p + p**4 + 4*p**4 + 3*p wrt p? 60*p**2 Let v = 47 + -27. Differentiate -7 - v*y + 33*y - 18*y with respect to y. -5 Let n(b) be the third derivative of 7*b**6/60 - b**5/12 + 13*b**2. What is the third derivative of n(s) wrt s? 84 Let o(s) = 5*s**5 - 2 - 4*s**3 - 2 + s**5. Let l(f) = 7*f**5 - 5*f**3 - f**2 - 5. Let d(w) = 4*l(w) - 5*o(w). What is the third derivative of d(y) wrt y? -120*y**2 Suppose 0*f + f = 2. Let r(y) = -y**3 + 13*y**2 - 13*y + 16. Let v be r(12). Find the second derivative of f*z**2 - 2*z**4 - 2*z**2 - v*z wrt z. -24*z**2 Let y(g) = -g**2 - 8*g - 5. Let f be y(-7). What is the derivative of 6*p**2 - 8*p**f - 3 + 4 wrt p? -4*p Let h(k) be the second derivative of -31*k**8/56 - 11*k**4/12 + k. Find the third derivative of h(u) wrt u. -3720*u**3 Let a(b) be the first derivative of 3*b**7 - 58*b**3/3 - 7. What is the third derivative of a(l) wrt l? 2520*l**3 What is the second derivative of 7*c**2 - 41*c + 5*c**2 + 28*c wrt c? 24 Let s(p) be the first derivative of -4*p**2 + 0*p + 0*p**3 - 2 + 0*p**5 - 1/3*p**6 + 0*p**4. What is the second derivative of s(i) wrt i? -40*i**3 What is the second derivative of -2*i + 2*i**2 - 37 - 7*i**4 + 45*i**4 - 26*i**4 + i**2 wrt i? 144*i**2 + 6 Let s(t) be the second derivative of -3*t**5/4 + 11*t**3/3 + 19*t. What is the second derivative of s(r) wrt r? -90*r Find the second derivative of -29*k - 9*k**5 - 3*k - 22*k**5 - 13*k**5 wrt k. -880*k**3 Let j(p) = -p**2 - 6*p + 2. Let x be j(-6). Let z = 5 + -3. What is the third derivative of -x*l**2 + 3*l**2 + 0*l**z + 2*l**4 - l**4 wrt l? 24*l Find the first derivative of 1076 + 5*j**3 - 1095 + 3*j**3 wrt j. 24*j**2 What is the second derivative of 6*d**2 + 4*d**2 - 4*d**2 + 10*d wrt d? 12 Let y(n) = -n**4 + n**3 + n**2 + n + 1. Let c(k) = -5*k**4 - 4*k**3 - 4*k**2 - 3*k - 4. Let p(h) = -c(h) - 4*y(h). What is the second derivative of p(d) wrt d? 108*d**2 Let a(q) be the second derivative of -5/42*q**7 + 0*q**6 + 0*q**2 - 1/4*q**4 + 0*q**5 + 6*q + 0*q**3 + 0. Find the third derivative of a(v) wrt v. -300*v**2 Let m(i) be the first derivative of -4*i**5/5 - 9*i**2/2 + 1. What is the second derivative of m(r) wrt r? -48*r**2 Let u(o) = -o**3 + o**2 - o - 1. Let g = -8 + 5. Let a(x) = x**4 + 3*x**3 - 3*x**2 + 3*x + 5. Let c(i) = g*u(i) - a(i). Find the first derivative of c(t) wrt t. -4*t**3 Let z = 10 + -8. Find the third derivative of g**4 - 2*g**z + 3*g**4 - g**4 wrt g. 72*g Let d be (4/(-10))/((-72)/30). Let c(i) be the second derivative of -1/2*i**2 - d*i**3 - 2*i + 0. Differentiate c(h) with respect to h. -1 Let a(s) = -s**2 - 19 + 3*s**2 + s**2. Let l = 0 - 7. Let h(c) = c**2 - 6. Let b(f) = l*h(f) + 2*a(f). What is the first derivative of b(i) wrt i? -2*i Let f(v) be the second derivative of 6*v + 0*v**4 - 3/2*v**3 - 4/15*v**6 + 0*v**2 + 0 + 0*v**5. What is the second derivative of f(i) wrt i? -96*i**2 What is the second derivative of 5*q**3 - 17*q - 7*q**2 + q**2 + 6*q**2 wrt q? 30*q Suppose -c = -2*l - 8, 10 + 16 = -l - 5*c. Let s be -1 + 9 - l/(-3). What is the third derivative of 4*y**s - 3*y**2 + 2*y**2 - 2*y**6 wrt y? 240*y**3 Suppose 43 = -5*j - 3*c + 113, -c = -2*j + 28. Let l be 19/7 - (-4)/j. Differentiate o**2 + o**3 - o**2 + 2 + o**l with respect to o. 6*o**2 Let x(y) = -y**2 - 6*y + 8. Let g be x(-8). Let j be (g/(-10))/((-2)/(-5)). What is the third derivative of -3*l**3 + 19 + j*l**2 - 19 wrt l? -18 Find the second derivative of 5*o + 5*o + 4*o + 8*o**4 wrt o. 96*o**2 Let k(z) = -11*z + 6. Let x(i) = -i - 1 + 0 + 3 - 1. Let t(j) = -k(j) + 2*x(j). Find the first derivative of t(o) wrt o. 9 Let t(s) be the second derivative of -s**9/252 - s**5/20 + s**2 - s. Let i(y) be the first derivative of t(y). Find the third derivative of i(l) wrt l. -240*l**3 Let m(n) be the second derivative of 23*n**6/30 + 15*n**2/2 - 4*n. Find the first derivative of m(c) wrt c. 92*c**3 Let b = -4 + 6. What is the second derivative of 2*f**b + 2*f**2 - 3*f + 0*f**2 - f wrt f? 8 Find the third derivative of 25*h**2 + 0*h**3 - 2*h**3 - 40*h**2 wrt h. -12 Let a(u) = u - 7. Let g be a(11). Let f(w) be the second derivative of 0 - 2*w + 0*w**2 + 1/3*w**3 + 1/6*w**g. Find the second derivative of f(s) wrt s. 4 Suppose l - 2*v = 2*l + 1, 2*l - 4*v + 26 = 0. Let f = -5 - l. Find the first derivative of 5 + 4*t**f - t**2 - 3 - 1 wrt t. 6*t Let h(a) = -a**2 - a + 1. Let w(b) = -2*b**2 + 3*b - 6. Let t(j) = 6*h(j) + w(j). What is the second derivative of t(c) wrt c? -16 Let i(s) be the second derivative of -3*s**5/20 - 5*s**2/2 - 9*s. What is the first derivative of i(w) wrt w? -9*w**2 What is the fi
{ "pile_set_name": "DM Mathematics" }
9 to the nearest integer? 9 What is the cube root of 194049 to the nearest integer? 58 What is 14313391 to the power of 1/6, to the nearest integer? 16 What is 23361103 to the power of 1/5, to the nearest integer? 30 What is the cube root of 1312876 to the nearest integer? 109 What is the third root of 121465 to the nearest integer? 50 What is 209818 to the power of 1/3, to the nearest integer? 59 What is the cube root of 4682360 to the nearest integer? 167 What is 2320471 to the power of 1/3, to the nearest integer? 132 What is 8992163 to the power of 1/2, to the nearest integer? 2999 What is 18407 to the power of 1/2, to the nearest integer? 136 What is the seventh root of 1442978 to the nearest integer? 8 What is the third root of 6676835 to the nearest integer? 188 What is the cube root of 301 to the nearest integer? 7 What is 2177228 to the power of 1/3, to the nearest integer? 130 What is the fourth root of 72889 to the nearest integer? 16 What is the sixth root of 246095 to the nearest integer? 8 What is the square root of 3849591 to the nearest integer? 1962 What is the square root of 3373908 to the nearest integer? 1837 What is the tenth root of 180007 to the nearest integer? 3 What is the sixth root of 3700574 to the nearest integer? 12 What is 1538535 to the power of 1/8, to the nearest integer? 6 What is the cube root of 153311 to the nearest integer? 54 What is the fourth root of 592768 to the nearest integer? 28 What is 2087764 to the power of 1/9, to the nearest integer? 5 What is 8939042 to the power of 1/2, to the nearest integer? 2990 What is the sixth root of 522033 to the nearest integer? 9 What is the cube root of 3764027 to the nearest integer? 156 What is 3499072 to the power of 1/7, to the nearest integer? 9 What is the square root of 403854 to the nearest integer? 635 What is 532862 to the power of 1/2, to the nearest integer? 730 What is 62547 to the power of 1/2, to the nearest integer? 250 What is the square root of 2612042 to the nearest integer? 1616 What is the third root of 2130123 to the nearest integer? 129 What is the ninth root of 15925287 to the nearest integer? 6 What is the square root of 1510877 to the nearest integer? 1229 What is the cube root of 557775 to the nearest integer? 82 What is the square root of 243569 to the nearest integer? 494 What is the square root of 231205 to the nearest integer? 481 What is the ninth root of 2174238 to the nearest integer? 5 What is 552694 to the power of 1/2, to the nearest integer? 743 What is the square root of 748138 to the nearest integer? 865 What is the third root of 771957 to the nearest integer? 92 What is the square root of 285534 to the nearest integer? 534 What is the square root of 4534547 to the nearest integer? 2129 What is the square root of 2884488 to the nearest integer? 1698 What is the cube root of 106703 to the nearest integer? 47 What is the fourth root of 551711 to the nearest integer? 27 What is the cube root of 262408 to the nearest integer? 64 What is 2725100 to the power of 1/7, to the nearest integer? 8 What is 335219 to the power of 1/2, to the nearest integer? 579 What is the cube root of 3855584 to the nearest integer? 157 What is 716718 to the power of 1/6, to the nearest integer? 9 What is the cube root of 247248 to the nearest integer? 63 What is the square root of 344102 to the nearest integer? 587 What is the cube root of 14006154 to the nearest integer? 241 What is the cube root of 3812908 to the nearest integer? 156 What is the eighth root of 557435 to the nearest integer? 5 What is the square root of 271507 to the nearest integer? 521 What is 154535 to the power of 1/2, to the nearest integer? 393 What is the fifth root of 227986 to the nearest integer? 12 What is 978878 to the power of 1/2, to the nearest integer? 989 What is the square root of 291384 to the nearest integer? 540 What is 5107581 to the power of 1/4, to the nearest integer? 48 What is 413791 to the power of 1/2, to the nearest integer? 643 What is the fourth root of 165590 to the nearest integer? 20 What is the tenth root of 221846 to the nearest integer? 3 What is the square root of 1911923 to the nearest integer? 1383 What is the square root of 50470 to the nearest integer? 225 What is 7683621 to the power of 1/2, to the nearest integer? 2772 What is 85074 to the power of 1/2, to the nearest integer? 292 What is 12777430 to the power of 1/3, to the nearest integer? 234 What is the ninth root of 342984 to the nearest integer? 4 What is the seventh root of 2144378 to the nearest integer? 8 What is the cube root of 82732 to the nearest integer? 44 What is the fifth root of 1710947 to the nearest integer? 18 What is the third root of 362663 to the nearest integer? 71 What is 103287 to the power of 1/3, to the nearest integer? 47 What is the third root of 22674166 to the nearest integer? 283 What is the cube root of 456280 to the nearest integer? 77 What is the cube root of 1385461 to the nearest integer? 111 What is 578749 to the power of 1/10, to the nearest integer? 4 What is the cube root of 2245582 to the nearest integer? 131 What is the cube root of 2426041 to the nearest integer? 134 What is the cube root of 374930 to the nearest integer? 72 What is 735270 to the power of 1/9, to the nearest integer? 4 What is the third root of 414514 to the nearest integer? 75 What is the third root of 19043677 to the nearest integer? 267 What is the fifth root of 361798 to the nearest integer? 13 What is 402779 to the power of 1/9, to the nearest integer? 4 What is the third root of 339061 to the nearest integer? 70 What is 593142 to the power of 1/2, to the nearest integer? 770 What is the square root of 344821 to the nearest integer? 587 What is the seventh root of 705389 to the nearest integer? 7 What is the eighth root of 543911 to the nearest integer? 5 What is 920811 to the power of 1/2, to the nearest integer? 960 What is the eighth root of 79256 to the nearest integer? 4 What is the cube root of 12931306 to the nearest integer? 235 What is 862937 to the power of 1/5, to the nearest integer? 15 What is the fifth root of 2656742 to the nearest integer? 19 What is the fourth root of 1073474 to the nearest integer? 32 What is the ninth root of 28702083 to the nearest integer? 7 What is 6107967 to the power of 1/10, to the nearest integer? 5 What is 625314 to the power of 1/6, to the nearest integer? 9 What is the third root of 613807 to the nearest integer? 85 What is 19000371 to the power of 1/7, to the nearest integer? 11 What is the fifth root of 9055682 to the nearest integer? 25 What is the third root of 303130 to the nearest integer? 67 What is the cube root of 240579 to the nearest integer? 62 What is the square root of 4909223 to the nearest integer? 2216 What is the cube root of 1215538 to the nearest integer? 107 What is 3768663 to the power of 1/7, to the nearest integer? 9 What is 767623 to the power of 1/3, to the nearest integer? 92 What is the cube root of 854573 to the nearest integer? 95 What is the seventh root of 10580983 to the nearest integer? 10 What is the tenth root of 101698 to the nearest integer? 3 What is 159673 to the power of 1/4, to the nearest integer? 20 What is 1092853 to the power of 1/3, to the nearest integer? 103 What is the cube root of 1996382 to the nearest integer? 126 What is 101643 to the power of 1/5, to the nearest integer? 10 What is 5058878 to the power of 1/2, to the nearest integer? 2249 What is the third root of 1064627 to the nearest integer? 102 What is 224649 to the power of 1/3, to the nearest integer? 61 What is 123831 to the power of 1/3, to the nearest integer? 50 What is 843647 to the power of 1/5, to the nearest integer? 15 What is 266506 to the power of 1/3, to the nearest integer? 64 What is 1085531 to the power of 1/3, to the nearest integer? 103 What is 2515412 to the power of 1/2, to the nearest integer? 1586 What is 7564712 to the power of 1/3, to the nearest integer? 196 What is the third root of 2630255 to the nearest integer? 138 What is the seventh root of 5330924 to the nearest integer? 9 What is 498790 to the power of 1/3, to the nearest integer? 79 What is 6459426 to the power of 1/2, to the n
{ "pile_set_name": "DM Mathematics" }
*d + o = -4*l for d. -5 Let x(b) = b**2 + 5*b + 6. Let r be x(-3). Suppose r = -12*p + 8*p + 4. Solve -h + 7 = n, 3*n - p = -h + 2*h for h. 5 Let l be 24/54*-3*(-9)/2. Solve -g + 5*n = 10, 3*n - l = 4*g - 0 for g. 0 Let o = -661 + 664. Solve 4*l - o*w = w + 4, -2*l = -5*w - 11 for l. -2 Let a(z) = z**3 - z**2 - z + 3. Let x be a(0). Let p be 3*(10/x + 4). Let k = p + -10. Solve 0 = -5*s + s - u + 9, 0 = -3*s + 3*u - k for s. 1 Let r be (-3)/4 + (-946)/(-88). Suppose 4*d + d = r. Solve 5*x - 4*s - 8 = 0, 0*s = -2*x + 2*s + d for x. 4 Let l = -470 - -473. Let h(g) = 5*g**2 + g. Let w be h(-1). Solve -q - 6 = -l*o, 10 = o + w*o + q for o. 2 Suppose 10*m = 12 + 28. Suppose 0 = -m*z - 2*t + 6, -21 = -3*z + 2*t + 2*t. Solve -v - 2*n - 6 = 0, -n = -v + z*n + 24 for v. 4 Suppose 4*q - 2*q = 4. Let g = 3 + q. Suppose -27 - 9 = -9*f. Solve g*b + 0*b = f*l + 16, -4*b + 2*l + 8 = 0 for b. 0 Let w(t) = -2*t. Let x be w(-1). Suppose 2*g - 3*g + 1 = 0. Let u = g - -1. Solve -2*f - x = -5*s, 0*s - 2*f = -3*s - u for s. 2 Let n be -3*3/45 + (-89)/5. Let k be -3 + 4/8 + n/(-4). Solve 2*m - b = k, m - 4*b = 2*m - 1 for m. 1 Suppose 3*d - w = 26, -5*d = -0*w + 2*w - 36. Let j be 4 - (-9)/((-18)/d). Solve c - 4 = j, b + 5*c = -3*b + 8 for b. -3 Let s = -17 - -21. Suppose -8*g = -s*g. Suppose g = 5*u - 28 + 13. Solve -l + u*y = 5*y + 5, -5*y = -2*l + 17 for l. 1 Suppose 22 = n - 4*b, -3*n + 7*n = -b + 3. Let u = -26 + 29. Suppose -v - 3*v + 16 = 2*p, -20 = -4*v - u*p. Solve -2*m - 4 + 0 = -n*x, -v*x + 4*m + 2 = 0 for x. 3 Let m(s) = -s**2 - 9*s + 6. Let p be m(-8). Suppose 4*n - p = 3*n + 4*k, -4*n + 17 = -3*k. Solve -6*i - 25 = -3*i - 5*b, -10 = 4*i - n*b for i. 0 Suppose -w + 13 = 3*n, -5*w + 36 - 4 = 4*n. Suppose 0 = 3*q - 3, -2*i + 2*q = 3*i - 48. Solve 2*x = -w*m + x - i, m - 2*x = -7 for m. -3 Let f be (2/4)/(11/44). Let g(j) = j**3 - 3*j**2 - 7*j + 10. Let h be g(4). Let x be (-3)/h*20/6. Solve 4*u + f*b = 2, x*u + b = -b for u. -2 Suppose -35*v + 59 + 186 = 0. Solve 0 = 4*i - 3*c - c - 4, 0 = -4*i + 3*c + v for i. 4 Let k(m) = -2. Let x(o) = o - 1. Let b(y) = 4*k(y) + x(y). Let r be (8 + 0 - -1) + 0. Let n be b(r). Solve j - 2*w = -0*w, -3*j - w - 7 = n for j. -2 Let i be 4*(-2 + 6 + -3). Let q(b) = -2*b**2 + 3*b - 2. Let o be q(2). Let l be (-100)/(-7) - o/(-14). Solve -s - l = -4*a, i*a - s - 10 = a for a. 4 Let w be 0 + 40 - (-3 - -11). Solve 2*v = 4*c + 6*v - w, -1 = -2*c + 3*v for c. 5 Suppose 0 = 5*r + 5 - 15. Let f be 12/30 + (-54)/(-15). Solve r*t + 3 = -f*o + t, 3 = o + 4*t for o. -1 Let t be (163/(-163))/((-12)/(-14) + -1). Solve -5*z + 4*k - 27 = 0, -t*z = -3*z + k + 9 for z. -3 Let g = 55 - 36. Solve 5*h - g = -3*n, -2*h = 2*h + 3*n - 17 for h. 2 Suppose -2*m + 40 = -5*k, 0 = -m + 11*k - 6*k + 10. Let x = -5 + 7. Solve f + 0 = 5*t + m, -x*t + 3*f = 25 for t. -5 Suppose 16 - 6 = 5*v. Solve 2*w - 10 = 0, -r = -0*r + v*w - 14 for r. 4 Suppose -21 = -3*k - z, -3*z + 22 = 3*k + 7. Let q be (-20)/k*(-16)/10. Solve 0*i - i + q = -4*y, -1 = i + y for i. 0 Suppose -5*w - 5*z + 327 = -2*z, 0 = -w - 4*z + 79. Let u = w - 37. Solve 0 = -4*m - 3*l - u, -1 = -4*l - 9 for m. -5 Let u = -20 - -13. Let o = -3 - u. Solve o*n + j + 25 = 0, -n - 3*j - 15 = -j for n. -5 Let c = -96 - -96. Solve 4*i + 4*h = i - 18, -4*i - 5*h - 23 = c for i. -2 Suppose 3*n - 4*g = 6, 5*g - 9 = n - 0*g. Suppose 4*j + 10 = n*j. Solve p + 6 = 4*p, 0 = 5*f + j*p - 15 for f. 1 Suppose 2*w + 4 = 6*w. Let h = w + 3. Solve 3*p - 2*z - 20 = 0, z + 0*z - h = -2*p for p. 4 Let j = -221 + 221. Solve -5*s = -r + 22, 0 = -4*s + 5*r - 5 - j for s. -5 Suppose -13 + 19 = o. Solve -2*k + 2*n - 8 = 0, 4*k = -4*n + 3*n - o for k. -2 Let j = 18 - 12. Suppose -j*x + x = -20. Let b(a) = a**3 - 22*a**2 - 2*a + 49. Let y be b(22). Solve -y*i - 4 = x*u - 8*i, -i - 5 = 5*u for u. -1 Suppose -9 + 117 = 6*q. Solve 3*d - 36 = -5*r - 14, 3*d = -3*r + q for d. 4 Let n be 11/1 + -5 + (29 + -13 - 17). Suppose y + 0 = -4. Let t = 3 - y. Solve 11 = m + 2*a, -t*m - n*a + 35 = -3*m for m. 5 Let r(a) = -a**2 + 6*a + 10. Let z be r(7). Suppose 28 - 1 = z*l. Let h be (6/l)/((-1)/(-3)). Solve -3*o + o + 4*g - 2 = 0, -h*g - 4 = -2*o for o. 5 Let d(h) = h**2 + h + 4. Suppose y = 1 - 2. Let a(l) = l**3 + l**2 - l - 1. Let w be a(y). Let i be d(w). Solve 3*b + 11 = 5*r, -i*b - b + 7 = -2*r for r. 4 Let w(z) = -2*z**2 + 9*z - 10. Let p be w(4). Let j be 4 - -4*3/p. Solve j*c + t = -11, 17 = c - 4*t - 0 for c. -3 Let z = 3 + -2. Let x = 75 + -51. Let n = x - 17. Solve 3*j - 5*u + 8 = z, -j = 3*u + n for j. -4 Let h(o) = 1 + 4 + 4 - o + 1. Let k be h(9). Solve -5*c + 14 = -k, -a - 5*c + 12 = 0 for a. -3 Let i = -2916 - -2916. Solve -2*q + 2*m + 6 = -i, 0 = -2*q + 3*m + 5 for q. 4 Let m = -4 + 8. Suppose -2*a + 103 = -3*o + 26, 0 = -5*a - m*o + 204. Let h be a/(-12)*(-6)/5. Solve h = x + 5*s + 1, 5*x - 5*s = 15 for x. 3 Let r = 18 - 16. Suppose y - 57 = -r*y. Solve z = -3*g + 1 - y, -2*z = 6 for g. -5 Suppose -2*b + 0 = 2*a - 16, -5*b + 15 = 0. Solve -a*q + 16 = 6, 4*o + 6 = -3*q for o. -3 Let x = 7 - 3. Let k(u) = 7*u**2 + u + 1. Let z be k(1). Let o be 41/2 + 7/(-14). Solve -5*d = -5*l + 10, z*l = x*l + o for d. 2 Suppose 0 = -8*s + s + 28. Solve w + 2*x = -s*w - 6, 6 = -4*w - x for w. -2 Let s be ((-3)/(-1))/((-60)/24 + 4). Solve 0*k + s*k + 2*j + 16 = 0, 0 = -5*k + 2*j - 5 for k. -3 Let t = -4 - -9. Let j(m) = -4*m + 11. Let r be j(t). Let y = r + 13. Solve -h + 16 = -y*k, -2*k - 20 = h + 3*k for h. 0 Suppose -30*h = i - 28*h - 7, i - h - 19 = 0. Solve -3*t = a - 5*a - i, -2*a = 3*t + 3 for a. -3 Let h(d) = -59*d + 2785. Let x be h(47). Suppose 1 + 2 = m. Solve -m*s = a + 2*s - x, 0 = -4*s + 12 for a. -3 Suppose 4*d = 4*j - 16, 5*j = j + 3*d + 15. Solve 0 = 8*c - j*c + 5*n - 35, 2*n = 6 for c. 4 Let i = 314 - 313. Solve 4*n - 7 = -o, -3*n = 4*o + 12 - i for n. 3 Suppose 3*v + 5*i = 32, 0 = -v - 2*i - 2*i + 20. Suppose 0 = v*s + 16 - 32. Solve -5*u - 15 = s*x, 5*x - 3*u + 18 = 2*x for x. -5 Suppose 6*f + 18*f = 0. Solve -3*n = -3*d - f*n + 3, -n + 29 = 5*d for d. 5 Suppose 4*m = 4*k - 64, 12 = -6*k + 8*k + 3*m. Solve -3 = -3*b, 0 = 2*g + 6*b - 2*b - k for g. 4 Let m = 25 - 45. Let v = m + 24. Let w be (-3)/2*(-12)/9. Solve -2*q + 18 = -4*c, v*c + w*q + 27 = 7*q for c. -3 Suppose l = 4*n + 12, 5*l - 12 = -2*n - 2*n. Suppose -v = l - 8. Suppose 0 = -9*x + v*x + 10. Solve 0 = t - s - 1, s = x*t + 4*s - 17 for t. 4 Let m(t) = 2*t. Let x(s) = s**3 + 2*s**2 - 4*s + 3. Let b be x(1). Let q be m(b). Solve h - 3*r = 8, -29 = -5*h + q*r - 0*r for h. 5 Let r be ((-784)/(-210))/28 + 268/15. Solve -5*s = 4*a + 7, -r = 26*s - 29*s + 5*a for s. 1 Let h(f) = -11*f**2 - 128*f + 74. Let r be h(-12). Solve 0 = 2*j - y - 8, 9*j = 6*j + 5*y + r for j. 2 Let a = -78 + 148. Suppose 2*t + 3*t - 4*d - a = 0, -3*d = -5*t + 65. Solve -5*s = 4*n + t + 21, n + 4 = 0 for s. -3 Suppose 22*o + 2 - 772 = 0. Solve -2*h + 3*a - 4*a = 9, 5*a = -5*h - o for h. -2 Let s(u) = u**3 - 16*u**2 - 23*u + 32. Let d be s(17). Let m = 73 + d. Solve 23 = -m*f + 5*t, 0 = 5*f - t - 3*t + 21 for f. -1 Let n = -43 - -58. Suppose 21 = u + 2*s - 3, 0 = -5*s - n. Solve 5*o + 5*y = u, 0 = -2*o + 4*o - 2*y - 8 for o. 5 Let u be (-1 - -5)*3/4. Suppose 5*c - 27 = 8*c. Let l = c - -11. Solve -4*n + 4*t - l*t - 20 = 0, 5*n = -u*t - 3 for n. -3 Let m be (2 - -6)/((-24)/(-4) + -4). Solve 2*l - 10 = u, m*l = 3*u - 0*l + 20 for u. 0 Let l(p) = p**2 - 3*p + 2. Let c be l(0). Solve 0 = 5*f - 6*i + i + 10, -5*f - 10 = c*i for f. -2 Let g be (44/22)/(2*(-2)/(-6)). Suppose 0 = 3*o + 3, 3*b + g*o + 15 = 7*b. Solve 0 = -b*t - 4*j + 15, 0 = -4*t - 5*j + 23 - 3 for t. 5 Let b = 11 + -1. Let o be 5/(-25) + 42/b. Let u(y) = 23*y + 1. Let l be u(1). Solve s + 2*q + 7 = 6*s, -l = -o*s - 3*q for s. 3 Let z be ((-2)/6)/(27/(-162)). Suppose 0 = -z*k - 4*k. Solve -y + 4*s + 9 = -k*y, 2*y + 3*s = -15 for y. -3 Let y(w) = -w - 2. Let d be y(-4). Suppose 2*x = 4*c - x - d, 5*c + 2*x - 14 = 0. Solve 2*l + c*q = 0, 4*l - 4*q + 9 = -l for l. -1 Let m(i) = i**3 + 8*i**2 - 5*i + 39. Let y be m(-9). Solve 4*k + k = 5*q + 10, 2*q - y*k + 7 = 0 for q. 1 Suppose 2*r + 2*n - 12 = n, 13 = 3*r + 4*n. Suppose -17 = -12*o + r. Solve -m - 9 + 3 = 2*l, -5 = o*m - 3*l for m. -4 Let b be (-65)/(-10) + 3/(-2). Suppose -b*c = -
{ "pile_set_name": "DM Mathematics" }
c + f, w = -c + 6*w + 84. Is c prime? True Let m = -402 - -565. Is m a composite number? False Let o(c) = -2*c**2 - 3*c - 4. Let g(v) = 0*v**2 + 2*v + 2*v + 2*v**2 + 5. Let j(l) = -4*g(l) - 5*o(l). Is j(-3) prime? False Suppose 6*n - n + 1147 = 3*i, 0 = -i - 4*n + 405. Is i a composite number? False Let a(j) = 4*j - 4*j - j. Let q be a(-4). Suppose -40 = -q*g - 0. Is g a composite number? True Let q(b) = b**2 + 2*b + 1. Let f be q(-1). Suppose f*k - k = -169. Is k prime? False Let p = -12 + 18. Suppose p*k = k. Suppose k = s - 29 - 2. Is s prime? True Let z(h) = 0*h + h**2 - 5*h - 5 - 2*h. Let l be z(8). Suppose -i - l*i = -140. Is i composite? True Suppose -3*w + 2*w = 2*o - 359, -2*w = o - 709. Is w prime? True Let w = 58 - 39. Let g = -13 + w. Suppose 0 = -3*z + g*z - 141. Is z a composite number? False Let q(u) = -22*u**3 - u**2. Let d = 8 + -13. Let n(p) = p**2 + 4*p - 6. Let v be n(d). Is q(v) composite? True Let c(n) = 2*n + 16. Suppose 2*q - 3*y + 10 = 0, 59 = -5*q - 4*y + 3*y. Let z be c(q). Is 6/(-4)*8/z composite? False Suppose -759 = -5*n + 296. Is n a prime number? True Let i(m) = 15*m - 1. Let y = -1 + 5. Suppose 3*g - 3*q = -8*q - 2, -2*q - 32 = -y*g. Is i(g) prime? True Let g(q) = 133*q**2 + 2*q - 2. Is g(1) prime? False Let g = 153 + -104. Is g composite? True Let r(u) = -1199*u - 92. Is r(-5) prime? True Suppose -1183 = -4*h + 693. Is h a composite number? True Suppose -l + 5*w + 287 = 0, -2*l + 4*w + 62 + 512 = 0. Is l composite? True Let s = 2027 + -1228. Is s a prime number? False Suppose -2*c + 4*c = 10. Suppose -c*k = -k + 3*q - 9, k - 2 = -q. Suppose k*y - 16 = 41. Is y composite? False Suppose -2*x = x - 309. Is x a composite number? False Let r(j) = -3*j**2 - 8*j. Let p(m) = -2*m**2 - 7*m. Let q(s) = 4*p(s) - 3*r(s). Is q(7) a prime number? False Let f = -6892 + 10053. Is f prime? False Suppose -3*v + 143 = c, -c + 143 = -0*c + 4*v. Suppose -3*i + 167 = 2*l, 3*i - 2*i + 179 = 2*l. Suppose 3*q = c + l. Is q prime? False Suppose 0 = -x + 4*x - 132. Suppose 0 = 4*s - 296 - x. Is s a composite number? True Let f(o) be the third derivative of -o**6/120 + o**5/6 - o**4/3 - 3*o**3/2 + 4*o**2. Is f(8) composite? True Suppose 5*k + 3*j + 38 = 0, -3*k - j = -3*j + 19. Is k*((1 - 2) + 0) a prime number? True Let s = -26 - -29. Suppose k + s*k - 472 = 0. Is k prime? False Suppose -1570 = -2*q - 4*a, -2*q - 4*a - 791 = -3*q. Is q prime? True Suppose -10 = -5*r - 2*x, 2*r - 4*x - 3 = 1. Suppose 230 = -r*l + 4*l. Is l a composite number? True Suppose m + 6 = 3*m. Let o(i) = 54*i - 7. Is o(m) composite? True Suppose -y - 9 = 2*x - 4, -5*x - 10 = 2*y. Suppose x = -5*z - 4*r + 5319, 5*z - r - 4*r - 5310 = 0. Suppose -5*a - 248 = -z. Is a a prime number? True Suppose -27 = 5*u + 8. Let z = u + 46. Is z a composite number? True Let r(f) = -f - 5. Let n be r(-7). Let q(h) = 0 - h + 3*h**2 + 32*h**3 + 1 - 2*h + 0*h. Is q(n) composite? False Let l = -134 - -360. Suppose -2*s + 2*z - l = -0*s, -4*z = 2*s + 208. Let d = s + 237. Is d prime? True Suppose -179 = -3*n + 2*j, 2*j + j = -3. Is n prime? True Let h(i) = -7*i - 10. Let y(a) = -a + 1. Let o(n) = h(n) + 4*y(n). Let w(f) = -f**3 - 18*f**2 - 5. Let x be w(-18). Is o(x) a composite number? True Let s = 367 - 252. Let f(u) = s + 6*u - u**2 - 6*u. Is f(0) prime? False Let m(s) = -16*s + 15 - 3*s**3 - 8*s**2 + 4*s**3 + 0*s**3. Let x(w) = 2*w + 4. Let o be x(3). Is m(o) a composite number? True Let h(v) = -v + 2. Let z be h(-2). Suppose 3*x = -z*j + 5*x + 6638, 0 = -5*j - 3*x + 8270. Is j composite? False Let n(v) = v**2 + 2*v - 1. Let d be n(-4). Suppose c = d + 1. Let g(i) = i**3 - 7*i**2 + i + 2. Is g(c) a prime number? False Let z be (-20)/(-3)*(-759)/(-22). Suppose -3*s - 4*q + 97 + z = 0, 0 = -5*s + 5*q + 580. Is s prime? True Let r(j) = -6*j - 7 + 1 - 4 + j**2 + 2. Is r(11) composite? False Let z = -2 + 4. Suppose -z*u + 815 = 3*u. Is u a prime number? True Suppose 3*f + 0*f = 777. Suppose 0 = -2*g - 5*v + f, 504 = 6*g - 2*g - 4*v. Is g a composite number? False Let u(r) = -3*r**3 - 5*r**2 - r + 7. Suppose -c + 1 = n, 0*n + 10 = n - 2*c. Let i(b) = -4*b**3 - 4*b**2 - 2*b + 7. Let v(k) = n*i(k) - 5*u(k). Is v(8) prime? False Let q = 9816 + -6617. Is q composite? True Suppose -6 = -5*l + 39. Is 262/(-3)*l/(-6) prime? True Let n(w) = -w**3 - 8*w**2 - 9*w + 1. Let v be (1 - 2/1) + 40. Suppose 2*q = 5*t - v, -t - 15 = -4*t. Is n(q) a prime number? False Let u be ((-6)/(-4))/((-4)/(-24)). Let r = 1 + u. Is r prime? False Let a(h) = 36*h - 5. Let l(v) = -v**3 + 6*v**2 - 3*v - 4. Let t be l(5). Is a(t) a composite number? False Is (-585)/(-7) - (-4)/(-7) composite? False Let i(p) = p**3 + 6*p**2 + p**2 - 5 - 5*p + 0*p - 6*p. Is i(-8) a composite number? False Let z be (-6)/(-24) + (-10)/8. Let a(w) = -25*w. Is a(z) composite? True Let r be ((-1)/(-2))/(3/6). Let l(u) = 8*u**3 + u**2 - 1. Let p be l(r). Suppose -3*w = -p*w + 5*y + 55, 2*w + 2*y = 38. Is w a prime number? False Let w(s) = 0 + 1 - 4 + 0 + 18*s. Is w(3) composite? True Suppose 3*w + 7 = -5*n + 1, -4*n + 8 = -4*w. Let h be -2*1/w*0. Suppose -2*r - 2*r + 52 = h. Is r a composite number? False Suppose -p = -4*z + 3553, 2*z - p - 1418 - 361 = 0. Is z a composite number? False Suppose 3*u + 3 = 3*a, -a + 4*u + 0 = 2. Suppose -j - j - 428 = -4*n, 2*n - a*j = 210. Is n composite? False Suppose 21*o - 23*o + 10690 = 0. Is o prime? False Let a(u) = -113*u**3 - u + 1. Is a(-2) composite? False Suppose -2*p + 38 = -4*s, s + 2 = -0. Is p a composite number? True Let w be 1/2 + (-135)/6. Let j = w + 64. Is ((-1)/2)/((-1)/j) composite? True Suppose -20 = 4*x, -h - 2*x = -x. Suppose -h*g - 1 = -2*y, 5*y - 85 = -5*g + g. Is y prime? True Is 4/(-10) + ((-27444)/(-20))/3 prime? True Let r = -18 - -23. Suppose 5*p - 4*g = 1671, -2*p + 1344 = 2*p - r*g. Is p a prime number? True Suppose 3*w = -541 - 1418. Let t = 386 + w. Is t/(-5) - 4/10 a prime number? True Let z = 177 - 64. Is z a composite number? False Suppose -2*u + 279 = -143. Is u a prime number? True Suppose -r + 3005 = 3*l, 3*r + 20 = 2*l - 1998. Is l a composite number? True Suppose 0 = -12*o + 1707 + 825. Is o composite? False Let j = -3811 - -6270. Is j a prime number? True Let x(s) = 450*s**2 - 1. Suppose -3*b = -3*v + 9, -v + 3*v - 12 = 5*b. Is x(v) a prime number? True Suppose 2*u = 3*u - f - 324, -992 = -3*u - f. Is u composite? True Suppose t + c = 3, -2*t - t = c - 11. Suppose 652 = -t*j + 2696. Is j composite? True Suppose -5*c = 6 + 4. Let a(p) = 65*p**2 + p + 1. Is a(c) a prime number? False Suppose v + 495 = 2*v. Suppose -4*o + 9*o = 5*i + v, 293 = 3*o - 2*i. Is o prime? False Let z = 1 - -4. Suppose 21 = 2*j + z. Suppose -3*i + 13 = -j. Is i prime? True Is 1176/10 + -6*6/(-90) a composite number? True Suppose -9*h + 14*h - 5 = 0. Is 160 - (-2 + 1/h) composite? True Suppose 0 = 3*w - 3 - 12. Suppose 3*s - w*s = 12. Is 3/(s/55)*-2 prime? False Let c = -4 + 4. Suppose 3*h + 2 = -u - 2, 2*h - 2*u - 8 = c. Suppose h = -3*l + 606 - 225. Is l a composite number? False Suppose -4*u + 6 + 6 = 0. Let c = -18 + 6. Is 158/u - 4/c composite? False Suppose -o = -4*o, 0 = 5*v + 3*o - 6295. Is v a prime number? True Let j(z) = z**2 - 9*z + 9. Is j(14) a composite number? False Suppose 3*y - 11677 = -5*a, 0*a = 3*a + 2*y - 7007. Is a composite? False Let d = 354 - 195. Is d prime? False Let i be (-85)/(-4)*(-3 + -1). Let v = i + 146. Suppose b - v + 24 = 0. Is b a composite number? False Let b(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 + 14*x + 2. Let y be b(0). Let g = y + -8. Is g a prime number? False Let g = 11 - 9. Let x(h) = 46*h**2 - 2*h - 1. Is x(g) prime? True Let m(w) = 2*w**2 + 11*w + 4. Suppose -h = h + 16. Let y = h + 1. Is m(y) prime? False Suppose 5*b - 2*b = 795. Is b a composite number? True Suppose 7 + 3 = 5*a. Suppose -5*f = -5*d + 50, -4*f = -a*d - 5*f + 11. Is 528/14 + 2/d a composite number? True Let j be (-3302)/(-8) - (-6)/(-8). Suppose -5*d - 2*y = -d - 540, j = 3*d + 5*y. Is d a composite number? True Let q(x) be the second derivative of 11*x**4/12 + 2*x**3/3 - 3*x**2/2 - 4*x. Is q(2) composite? True Is 530/15 - (4/3 + -1) prime? False Let f(a) = -6 + 2*a**2 + 9*a**2 - 2*a**2 - 3*a**2 + a**3. Let q be f(-5). Let t = -5 + q. Is t a prime number? False
{ "pile_set_name": "DM Mathematics" }
l? False Which is smaller: 7 or 581/95? 581/95 Do 1 and -2/24681 have different values? True Which is smaller: 8947 or 8946? 8946 Which is smaller: 100 or -66? -66 Are 5 and 332.71 equal? False Do 96074/15 and 6404 have the same value? False Which is smaller: -0.0613118 or 1? -0.0613118 Is 1186/255 at most 5? True Is -544 not equal to -453? True Which is smaller: -0.1803663 or -0.3? -0.3 Are -14/94757 and -1 equal? False Which is bigger: 6742 or 6732? 6742 Which is smaller: -3/253792 or 0? -3/253792 Which is smaller: -4/5 or 4.53467? -4/5 Is -32/75 at least as big as -0.429? True Is -2/867079 at most 0? True Which is greater: -23686/75 or -317? -23686/75 Which is greater: -7698 or -7711? -7698 Is -8884166 <= -8884165? True Is 1 less than or equal to 68/6249? False Which is greater: 942932 or 942933? 942933 Which is bigger: -1 or 56409? 56409 Is -69 < -189? False Which is smaller: 171747 or 171748? 171747 Is 6455 less than 0.031? False Which is greater: 0.02 or -12/9323? 0.02 Is -595/3 bigger than -320? True Are 5 and -1242.4 non-equal? True Are 3657242 and 3657242 non-equal? False Which is greater: -10350753/2 or -5175376? -5175376 Is 813 not equal to -3788? True Do -1626 and 8/11 have different values? True Is -21 != 11.981? True Is -0.0592283 at least 0.03? False Which is smaller: -0.06 or 61151? -0.06 Are -1.0268 and -178 unequal? True Is 15 at most as big as 130/9? False Which is greater: -280241 or -280243? -280241 Which is bigger: -130 or -246.7? -130 Which is greater: -1/331 or -178? -1/331 Which is greater: -4 or 262065? 262065 Is 49248 greater than 49249? False Which is greater: -2697.42 or 0.01? 0.01 Is 2/19069 bigger than 261? False Is -0.5 equal to 1/2448? False Which is greater: 8686 or 86859/10? 8686 Which is greater: -1/3 or -0.758469? -1/3 Which is greater: -29138/3 or -9713? -29138/3 Is -3584 at least -3445? False Is 0.1 less than or equal to -728.33? False Which is smaller: 638 or -3222? -3222 Which is smaller: 1 or 134/28869? 134/28869 Which is smaller: 0.0484 or 83/3? 0.0484 Do -4863 and -4574 have the same value? False Which is bigger: -0.4 or -6516? -0.4 Which is smaller: 141.7 or -272/5? -272/5 Which is bigger: -28/6203 or 0? 0 Which is bigger: 0 or 2/104619? 2/104619 Which is bigger: 3/5 or -10692? 3/5 Which is greater: -10 or -4082/431? -4082/431 Do 3530 and 73/9 have the same value? False Which is bigger: -11/3481 or 0? 0 Which is greater: 0 or 25/89942? 25/89942 Which is smaller: 8/5 or 63482? 8/5 Which is smaller: -10/9 or 223277? -10/9 Which is bigger: 4378 or -0.026? 4378 Which is smaller: -1.96 or -2.5? -2.5 Do -8683/100 and -88 have the same value? False Is -104522 >= -104522? True Which is bigger: 122823 or 122822? 122823 Are 814 and 1909/4 non-equal? True Do 121154 and 121157 have the same value? False Which is greater: -1 or -782/737? -1 Is -70.852 > -2? False Is -295/6 at least as big as -920? True Is 2049 at most as big as 636/5? False Which is greater: -0.06 or -1/193555? -1/193555 Is 552 greater than 115? True Which is smaller: 1 or -5/21888? -5/21888 Is -51 < -3005/59? True Which is smaller: 8105 or 137786/17? 8105 Is -200 greater than -199? False Is -1756 equal to -1811? False Which is bigger: 2 or 418/211? 2 Which is smaller: 2878 or 2882? 2878 Is -915 not equal to -950? True Which is greater: 1 or 274/1163? 1 Is -266/142979 not equal to -1? True Is 10052 at most as big as 10053? True Which is smaller: 1647 or 44440/27? 44440/27 Are 198265 and 198262 equal? False Are 12/378217 and 0 equal? False Which is smaller: -15/1352 or -0.53? -0.53 Which is bigger: 1/4 or 92997? 92997 Which is smaller: -23.9 or 483? -23.9 Which is smaller: 1026 or -4/25? -4/25 Which is bigger: -383395 or -383393? -383393 Which is smaller: 0.4 or 471.39? 0.4 Are 9634 and 9630 equal? False Is 0 greater than or equal to -2/361553? True Is 50 less than or equal to -994? False Is -430264 <= -430263? True Is -1/27208 at least 1? False Which is smaller: -205907 or -205899? -205907 Is 21595 at most -124? False Which is smaller: -28744 or -28741? -28744 Is 1 greater than 31/1535? True Which is greater: 218 or 243? 243 Which is greater: 4/38913 or -2/5? 4/38913 Is 100686/29 > 3473? False Which is greater: -315 or 2.8? 2.8 Is 135 <= 328? True Is 254271/31 at least 8201? True Which is smaller: -45/194819 or 1? -45/194819 Which is bigger: 81 or 5209/64? 5209/64 Which is smaller: -27261 or -27258? -27261 Is 3116 greater than or equal to 3106? True Which is greater: -108/9523 or 0? 0 Which is smaller: -1 or -34/19087? -1 Is 1210315 at least as big as 1210314? True Is -15/621281 != 0.1? True Are -1813 and -283 equal? False Is 7 greater than or equal to -1/64138? True Is 149 != 2514/17? True Which is smaller: -212113 or -212115? -212115 Which is greater: -279 or -146? -146 Which is smaller: -1005 or -221? -1005 Which is smaller: -1936 or -56126/29? -1936 Is -181 bigger than 52? False Which is smaller: -0.9 or -601? -601 Which is smaller: 17/5006 or -1? -1 Is 25/146 equal to 0.2? False Is 8273/271 greater than or equal to 30? True Which is smaller: 278/45 or -12? -12 Is -1473/1214 smaller than -1? True Are -29846 and -59691/2 non-equal? True Which is greater: -1.1 or -44/9? -1.1 Which is smaller: -12/233 or -11? -11 Which is bigger: 793 or 19836/25? 19836/25 Is -6 greater than or equal to -154429? True Do 33545 and 33547 have different values? True Is 328 < 20093/61? True Which is smaller: -460470 or -460469? -460470 Which is greater: -1 or 329/873? 329/873 Are 1 and -1/32171 non-equal? True Is -59279 greater than or equal to -59283? True Which is bigger: -154 or 166/5? 166/5 Which is smaller: -220/863 or 1? -220/863 Which is bigger: -298525 or -298521? -298521 Which is smaller: -1/174463 or -2? -2 Which is bigger: 0.6 or 27389? 27389 Which is smaller: -1/50557 or -1? -1 Which is smaller: 1790811 or 1790813? 1790811 Which is bigger: 668 or 637? 668 Is -1 > -2/4561167? False Is 53713/9 <= 5969? True Which is smaller: 41.662 or 2/13? 2/13 Is 46/203 smaller than 0? False Is 272101 less than 272100? False Is 7618/209 not equal to 37? True Is -381775 equal to -381776? False Is 912051 <= 912051? True Which is smaller: -559/191 or -4? -4 Is -3668530 equal to -3668529? False Is 0.2751 != -1473? True Is 74992 at least 74992? True Which is smaller: -0.1 or -16192? -16192 Which is greater: -1/8 or -0.333? -1/8 Is 0 >= -4/40741? True Which is bigger: 124748 or 873230/7? 124748 Is 2/4459 < -1? False Is 54202/7 at least 7742? True Which is smaller: -29/22858 or -1? -1 Which is smaller: -2222866/5 or -444574? -444574 Which is smaller: 0 or 1/12978? 0 Is 45723/7 at most as big as 6531? False Which is smaller: 4622 or 4610? 4610 Is 6/260329 > 0? True Which is smaller: 434.8 or 5? 5 Do 26134 and 26144 have different values? True Are -55 and -1.54 unequal? True Is -1/13 less than 39.948? True Which is smaller: -2/9217319 or 0.2? -2/9217319 Are -72 and 95 non-equal? True Are -866/49 and -19 equal? False Which is smaller: 0 or -26/4409? -26/4409 Is 443.66 at most 0? False Which is greater: 2/11 or -207? 2/11 Which is smaller: 61 or 1666/27? 61 Which is bigger: -664 or -13940/21? -13940/21 Which is smaller: 3/412022 or 0? 0 Which is bigger: -20 or -4220/207? -20 Is -4 >= 15005/17? False Which is smaller: -1/3 or 1/76? -1/3 Which is smaller: -2/11153 or 4? -2/11153 Is 1537 smaller than 1545? True Which is smaller: -1055/1582 or -2? -2 Does -40.09 = 3.02? False Is 184/1423 < 1? True Which is greater: -0.17 or -8756? -0.17 Which is smaller: 3811 or 3801? 3801 Are -101/69 and -2/7 non-equal? True Which is smaller: -1 or 56/2327? -1 Which is greater: 1528/95 or 16? 1528/95 Which is bigger: 1 or 1/11361? 1 Which is smaller: 12/359671 or 1? 12/359671 Which is greater: 7230 or 65071/9? 65071/9 Which is smaller: 10/987 or -1/7? -1/7 Which is smaller: 151578 or 151577? 151577 Is -97/360 <= -1? False Which is smaller: 19015 or 19016? 19015 Is 0 greater than or equal to -12537552? True Is 600/773 less than or equal to 0.2? False Is -79503 smaller than -1510544/19? True Which is greater: 0 or -5/6273? 0 Is -143422 at least as big as -143425? True Which is smaller: -13 or -14723? -14723 Which is greater: 5 or 1579/432? 5 Which is smaller: 187/3 or 44? 44 Which is smaller: 30309
{ "pile_set_name": "DM Mathematics" }
ppose -t - 3*u - 2*u = -18, -2*u + 33 = t. Calculate the remainder when t is divided by 23. 20 Let v = -116 + 134. What is the remainder when 177 is divided by v? 15 Suppose 130 - 2 = 4*r. Suppose 3*x = x + r. What is the remainder when 61 is divided by x? 13 Suppose -3*a = -6*a + 4*m + 75, -a + 25 = 5*m. What is the remainder when 49 is divided by a? 24 Suppose 0 = -2*b - s - 16, 0 = -5*b + 2*b - 5*s - 31. Let c(o) = o + 9. Calculate the remainder when 3 is divided by c(b). 1 Let z be 2 + 0 + 1 + -2. Let i = z + 2. Let m(d) = d**3 - 3*d + 3. Calculate the remainder when m(2) is divided by i. 2 What is the remainder when 9 is divided by (-18)/(-8)*(-1)/(12/(-32))? 3 Let v be 4*(-4)/40*20. What is the remainder when 20/(-2 + v/(-3)) is divided by 11? 8 Let d be 6/(-27) - (-130)/18. Let q be 153/21 - 2/d. Calculate the remainder when q*2/(0 + 2) is divided by 3. 1 Let y be (-27)/6*20/(-3). Let o be 0 + (24 + 2)/(-2). Let r = y + o. What is the remainder when r is divided by 9? 8 Calculate the remainder when (-4)/10 - ((-354)/10 - 4) is divided by 8. 7 Let q(p) = 5*p**2 - 2*p. Let d(w) = 19*w - 1. Let g(z) = -56*z + 3. Let h(t) = -8*d(t) - 3*g(t). Calculate the remainder when h(3) is divided by q(2). 15 Suppose -43 = 3*m - 106. Calculate the remainder when 58 is divided by m. 16 Let j be 36/6*(-2)/(-4). Suppose j*i - 3*g - 42 = 0, -2*g = 2*i - g - 22. What is the remainder when 46 is divided by i? 10 Suppose 3*d = 5*d. Let h(z) = -z**2 - z + 3. What is the remainder when h(d) is divided by 2? 1 Suppose 2*c = 7*c - 55. What is the remainder when c is divided by 4? 3 Suppose 3*a + 8 = 5*a. Suppose 4*i = 4*l - 219 - 21, 246 = a*l + 2*i. Calculate the remainder when l is divided by 21. 19 Suppose 348 - 42 = -3*k + 3*o, -2*k - 192 = -5*o. Let i = 163 + k. Calculate the remainder when (-1 - i/(-9))*6 is divided by 11. 10 Let i = 51 - 19. Calculate the remainder when 93 is divided by i. 29 Suppose k - 112 = -3*z - 11, 3*k = 5*z - 173. Let a(o) = o + 10. Let u be a(-6). Let f(s) = 4*s + 2. Calculate the remainder when z is divided by f(u). 16 Suppose 5*m - 19 = 46. Let f(z) = -8*z**2 - 2*z - 1. Let s be f(-1). Let p(o) = -4*o - 3. What is the remainder when p(s) is divided by m? 12 Suppose 0 = 3*a - 109 - 77. Let j = 6 + 22. Suppose -3*c + 4*v = -v - j, 0 = -5*c + 4*v + 64. What is the remainder when a is divided by c? 14 Suppose 23 = 6*n - 439. Let l(v) = 3*v**3 - v**2. What is the remainder when n is divided by l(2)? 17 Let j = -67 - -103. Calculate the remainder when j is divided by 10. 6 Let t be (-5)/(-2)*52/2. Let k = t - 44. Calculate the remainder when k + (0/(-2) - -2) is divided by 12. 11 Let c(j) = -j**3 - 5*j**2 - 2*j - 6. Suppose 3*i + 21 = y, -33 = 2*i + i - 5*y. Calculate the remainder when c(i) is divided by 11. 9 Let u(i) = -2 - 2*i - 7*i + 2*i. What is the remainder when u(-3) is divided by 5? 4 Suppose 4*n - 20 = 3*n - b, n - 35 = 2*b. Let j = 30 + -17. Calculate the remainder when n is divided by j. 12 Suppose -6*y + 409 = -203. Calculate the remainder when y is divided by 15. 12 Let b(h) = -28*h - 5. Let y be b(5). Let t = -78 - y. Let k = -18 - -35. What is the remainder when t is divided by k? 16 Suppose 10 = 5*d - 5*i, -4*d - 4*i + 4 + 20 = 0. Calculate the remainder when 15 is divided by d. 3 Suppose -5*x + 61 - 17 = 4*d, -4*d + 5*x = -4. Let k be (-3)/(-2*(-1)/(-28)). Suppose k = 4*a - d. Calculate the remainder when a is divided by 7. 5 Suppose -h + 2 = -3*h. Let o(f) = f**3 + 8*f**2 + 4*f - 8. What is the remainder when o(-7) is divided by (-4)/h*(-15)/(-12)? 3 Let v(p) = 4*p**3 - 6*p**2 + 6*p + 3. What is the remainder when v(3) is divided by 26? 23 Let d = 5 - 3. Suppose -13 = -d*j + k, -2*j + 5 = 4*k - 3. Suppose 7*v - j = 4*v. Calculate the remainder when v is divided by 1. 0 Suppose 0 = 5*u - 1404 + 494. Calculate the remainder when (u/21)/(1/3) is divided by 9. 8 Suppose -220 = 5*a - 10*a. Calculate the remainder when a is divided by 15. 14 Suppose 0 = 3*v + 3 + 12. Let w(z) = -4*z - 3. What is the remainder when 49 is divided by w(v)? 15 Let u be 6/8 + 8/32. Calculate the remainder when 38 is divided by 0 - (u - 2) - -19. 18 Suppose 8*m - 55 = -3*l + 4*m, 105 = 5*l + 4*m. What is the remainder when 95 is divided by l? 20 Suppose -5*o = -5*g + g - 36, -4*o - 2*g = -8. What is the remainder when 6 is divided by o? 2 Let n = 8 + 2. Let h(z) = 9*z + 3. Let r be h(n). Suppose -4*s - 33 = -r. Calculate the remainder when s is divided by 6. 3 Let r(m) = 3*m**2 - 3*m - 9. Let s(d) = 2*d**2 - 3*d - 8. Let z(n) = 3*r(n) - 4*s(n). Let y = -49 + 93. Calculate the remainder when y is divided by z(-5). 14 Suppose -5*i + 5*d = -190, -3*i + 4*i - 35 = 2*d. Suppose 0*r - 11 = -r. Calculate the remainder when i is divided by r. 8 What is the remainder when 1 + 1 - 360/(-9) is divided by 15? 12 Suppose 2*i + 33 + 16 = 3*y, 4*i = -4*y + 32. Let b = 72 + -46. Let t = b + -2. Calculate the remainder when t is divided by y. 11 Suppose i + 2*u - 75 = -u, 4*i + 3*u - 273 = 0. Suppose i = 2*p - 14. Calculate the remainder when p is divided by 21. 19 What is the remainder when 187 - (-6 - -1*12) is divided by 26? 25 Let z(w) = w**2 + 3. Let b be z(0). Suppose -6*h + 39 = -b. Calculate the remainder when h is divided by 2. 1 Let z(h) = 4*h - 6. Let u(k) = -k**2 + 5*k + 4. Let t be u(6). What is the remainder when (-3)/(-6) - 57/t is divided by z(4)? 9 Suppose 93 = 4*q + 5*l - 0*l, 2*l - 2 = 0. What is the remainder when q is divided by 8? 6 Let s(a) = a**2 + 5*a + 12. Let t be s(-8). Let u = t + -10. What is the remainder when 50 is divided by u? 24 Suppose -4*u + 115 + 117 = 0. Calculate the remainder when u is divided by 15. 13 Let h = -38 - -71. Let l(x) = 17*x + 1. Calculate the remainder when h is divided by l(1). 15 Suppose 14*j = j + 416. Suppose -240 = -5*f + 385. What is the remainder when f is divided by j? 29 Let q(z) = z**2 - 5*z - 11. What is the remainder when q(8) is divided by 4? 1 Suppose 0 = -0*a - a - 1. Let n = 6 - -1. What is the remainder when n is divided by a*12/((-3)/1)? 3 Let s(z) be the second derivative of 0 - 13/6*z**3 + 2*z + 3/2*z**2. What is the remainder when s(-4) is divided by 14? 13 Suppose -176 = -5*i + 99. What is the remainder when i is divided by 14? 13 Suppose -5*z + 4*g + 141 = 0, -4*z - z + 137 = -3*g. Suppose 22 = 3*r - 17. What is the remainder when z is divided by r? 12 Let p(u) = 2*u - 2. Let l be p(4). Suppose i + 0*i = -3*z - 3, -i = 4*z + 8. Calculate the remainder when ((-6)/4)/(l/(-136)) is divided by i. 10 Suppose 3*a + 4*g = 2*a + 16, 0 = -4*a - 3*g + 64. What is the remainder when 30 is divided by a? 14 What is the remainder when 10 is divided by (-4)/(-4 - (-6 - -4))? 0 Let c(f) = 14*f + 4. Calculate the remainder when c(5) is divided by 20. 14 Suppose 23*v - 288 = 563. Calculate the remainder when v is divided by (-41)/(-2) + (-1)/2. 17 Suppose 2*d - 5*d + 15 = 0. Suppose 0 = 3*i - 2*k - 22, -2*i - 3*i = d*k - 20. Calculate the remainder when 20 is divided by i. 2 Suppose -2*o - 4*q + 170 = 0, 136 = -3*o - 2*q + 375. What is the remainder when o is divided by 40? 37 Let n = 53 + -36. Suppose -3*f + 11 = -2*f + 5*m, m = 4. Let k(v) = -v**2 - 14*v - 13. Calculate the remainder when k(f) is divided by n. 15 Suppose -5*f + 40 = -5*l, 0 = -3*l + 2 - 17. Let o = f + 2. Suppose -o*h + 3*b + b = -36, -2*b = h + 4. What is the remainder when h is divided by 2? 0 Calculate the remainder when 97 is divided by (0/((-4)/2) + -5)*-4. 17 Let d = 75 + -64. What is the remainder when 29 is divided by d? 7 Let w be 2 - (-1 + (-6 - -3)). Suppose 0 = w*s - 2*s - 92. Let o(n) = n**3 - n**2 + 3*n - 2. Calculate the remainder when s is divided by o(2). 7 Let q(w) = -3*w - 5. Let s = 34 - 14. What is the remainder when s is divided by q(-4)? 6 What is the remainder when 50 is divided by (-476)/(-36) - (-3)/(27/(-2))? 11 Let t = 122 - -62. Calculate the remainder when t is divided by 62. 60 What is the remainder when 86 is divided by (-7 + (-77)/(-7))/(2/4)? 6 Let k be 3 + -2 + 0 - 1. Let f = k + -6. Let c = 8 + f. Calculate the remainder when 2 is divided by c. 0 Suppose w = -3*w + 8. Suppose -27 + 7 = -w*f. What is the remainder when f is divided by 6? 4 Suppose -q = -3*q + 24. Calculate the remainder when 21
{ "pile_set_name": "DM Mathematics" }
the prime factors of x? 2 Let l(o) = -o**3 - 8*o**2 - o - 6. Suppose 4*x = 3*w - w - 28, 4*w - 16 = 3*x. List the prime factors of l(x). 2 Suppose -5*b + 1 = -24. Let m(u) = 2*u**2 - 7*u - 2. List the prime factors of m(b). 13 Suppose 5*h - 2*v + 16 = -30, -4*h = -v + 38. What are the prime factors of h/(-35) - (-89)/7? 13 Let i = -28 + 106. List the prime factors of i. 2, 3, 13 Suppose -4*h + 108 = -36. List the prime factors of h. 2, 3 Let c = 21 - 16. Suppose -236 + 41 = -c*x. List the prime factors of x. 3, 13 Let m = -3 - -7. Let z = 0 + m. What are the prime factors of z? 2 List the prime factors of (-1108)/(-5) + (-12)/(-30). 2, 3, 37 What are the prime factors of -6 + 10 - 2*-31? 2, 3, 11 Let a(d) = d**2 + 4*d - 10. List the prime factors of a(-7). 11 Let p = 25 - 21. Suppose p*x - 170 = 22. List the prime factors of x. 2, 3 Suppose 5*i + 54 = 6*i. Let n(p) = p**2 - 3*p - 1. Let g be n(4). Suppose g*o + 15 = i. List the prime factors of o. 13 Let o = 45 - 26. Let y be o/3 + 1/(-3). Suppose -3*x + y*x = 51. List the prime factors of x. 17 Let x = 16 - 58. Let c be 2 - ((-2)/(-1) + -2). What are the prime factors of ((-6)/18)/(c/x)? 7 Let z(d) = 5*d**2 + 15*d - 8. What are the prime factors of z(-9)? 2, 131 Suppose 3*w + 18 = -3*p, w - 10 = 5*p - 4*w. Let g = 21 + p. What are the prime factors of g? 17 Suppose -4*k + 545 = 81. List the prime factors of (-2)/8 - k/(-16). 7 Suppose -2*i - c = -4*i - 41, -3*i + c = 62. List the prime factors of (112/i)/(3/(-18)). 2 Let p(u) = -8*u - 26. List the prime factors of p(-15). 2, 47 Let y(v) = -2*v**3 + v**2 - 3*v - 16. What are the prime factors of y(-4)? 2, 5, 7 Let q = 299 - 27. What are the prime factors of q? 2, 17 Let i be (2 - -1)/(2 - 1). Suppose -i*a + 61 - 19 = 0. What are the prime factors of a? 2, 7 Suppose 9*c = 1741 - 319. What are the prime factors of c? 2, 79 Let t be (-1 + 5)*15/12. Suppose -8 - 2 = -t*m. Suppose 4*q - 4 = 2*q, 5*q = -m*f + 42. What are the prime factors of f? 2 Let z(q) = -2*q**2 - 6. Let m be z(-6). Let x be (m/8)/(9/(-24)). Suppose -x = -3*v + 4. List the prime factors of v. 2, 5 Let q(v) be the third derivative of -v**6/10 + v**4/24 + v**3/6 - 2*v**2. List the prime factors of q(-1). 2, 3 Let j = -154 - -63. Let r = j + 129. What are the prime factors of r? 2, 19 Let o be 2 + (3 - (-4)/(-2)). Suppose 0 = 2*k - 2*t - 22, -2*t + 17 + 36 = o*k. Suppose -a + k + 4 = 0. What are the prime factors of a? 19 Let d(a) = 9*a**2 - 4*a + 1. What are the prime factors of d(3)? 2, 5, 7 List the prime factors of (20/(-25))/((-2)/25). 2, 5 Let m(v) = v**3 - 6*v**2 + 3. Let u be m(6). Let r be u/(-3)*-11 + -2. Suppose 1 = -2*h + r. What are the prime factors of h? 2 Suppose 5*m + 10 = -3*w - 34, -4*m - 43 = 3*w. Let o = 5 - w. What are the prime factors of o? 2, 3 Let y = 28 + 18. List the prime factors of y. 2, 23 Suppose 13 + 72 = v - 4*p, p - 105 = -v. What are the prime factors of v? 101 Suppose 2*p = -0*p + 28. Let u = p - 5. What are the prime factors of u? 3 Suppose -4*z - z = -135. Suppose -5*g - 2 = -z. List the prime factors of g. 5 Let g(z) = -z + 1. Let x(a) = -4*a - 2. Let q(c) = 3*g(c) - x(c). List the prime factors of q(5). 2, 5 Let r(b) = b**2 + 2*b + 2. Let u be r(-3). Suppose 2*k = u + 5. Suppose -k*f + 70 = 25. List the prime factors of f. 3 Let o(x) = -x**2 - 6*x + 7. Let z be o(-7). Suppose -5*w - 5*t + 30 = z, 3*w - 4*t = t + 34. List the prime factors of w. 2 Let i(w) = w**2 + 5*w + 5. Let b be i(-4). List the prime factors of b/5 + (-19)/(-5). 2 Let h = 2 - -1. Suppose 20 = 3*a + 2. What are the prime factors of (-8)/a*h/(-2)? 2 Let d(q) = -16*q - 31. Let s(m) = -3*m - 6. Let z(h) = 2*d(h) - 11*s(h). Suppose 4*v + 2 = 3*v. List the prime factors of z(v). 2 Let g(f) = -3*f - 14. What are the prime factors of g(-14)? 2, 7 Let r = -3 + 3. Let w be (2 + 15/(-6))*r. Let g = w - -8. What are the prime factors of g? 2 Let i = -12 + -19. Let u = i - -64. What are the prime factors of u? 3, 11 Suppose -u = u. Suppose 2*n + u*n - 28 = 0. What are the prime factors of n? 2, 7 Let z(i) = 12*i - 28. What are the prime factors of z(9)? 2, 5 Let r(f) = 7*f**2 + 17*f - 9. Let n(x) = 4*x**2 + 9*x - 5. Let k(q) = -5*n(q) + 3*r(q). Let t = 10 - 17. What are the prime factors of k(t)? 5 Let z be (21 + -2)/((-2)/6). Let o = z - -81. What are the prime factors of o? 2, 3 Suppose 2*u + 20 = 6*u. Suppose 5*f - i = 3*i + u, 15 = -3*i. List the prime factors of 5 - f/(-3) - 1. 3 Let c(v) = v**3 - 5*v**2 + 5. Let l be c(5). Suppose 0 = l*n - 91 - 14. What are the prime factors of n? 3, 7 Suppose 6*p - 2*p = 64. What are the prime factors of p? 2 Let q(v) = v**2 + 9*v + 8. Let p be q(-8). What are the prime factors of (p - (-52 + 2))/1? 2, 5 Let k = -7 - -7. Let g be -2*(2 - k - 1). List the prime factors of (-3)/(-2) - g/4. 2 Suppose p - 17 = -2*h, -20 = -h - 4*h. What are the prime factors of p/12*28*1? 3, 7 Let z = -63 + 88. Let k be (z - 3) + (-2)/1. List the prime factors of ((-9)/(-5))/(6/k). 2, 3 Suppose -n = 4*z + 41, -3*n + z - 4*z - 123 = 0. Let f = n - -59. List the prime factors of f. 2, 3 Let i be (0/(-2))/(1/1). Suppose i = -2*f, -4*f - 13 + 1 = -4*g. Suppose 0 = g*t - 3 - 9. What are the prime factors of t? 2 Let v = -17 - -23. What are the prime factors of v? 2, 3 Let d(c) = -c**3 - 5*c**2 - 5*c - 3. Let l be d(-3). Let q be (-4)/l*(-63)/(-14). Suppose -7*x + 2*x = b - 62, -27 = -q*x - 4*b. List the prime factors of x. 13 Let n be (-114)/(-21) - 6/14. Suppose 5*f + 5 + 24 = y, 0 = 2*y + n*f - 13. List the prime factors of y. 2, 7 Let u(n) = 1 + 2 - n**3 - 3*n**2 - 2. Let p be u(-1). List the prime factors of (p/2)/(2/(-8)). 2 Suppose 2*v + 2*v - 608 = 0. List the prime factors of v. 2, 19 List the prime factors of (-17)/(-51) + (-215)/(-3). 2, 3 Let t = -2 + 3. What are the prime factors of -7*(-3*t - -2)? 7 Suppose -k + 6*k + 124 = 3*x, 0 = 2*x + 4*k - 46. List the prime factors of x. 3, 11 Suppose o + 4*f + 21 - 7 = 0, 4*f = -5*o - 6. Suppose -42*d + 18 = -39*d. Let g = d - o. What are the prime factors of g? 2 Suppose 0 = -2*n - 3*n + 55. Suppose 86 - n = 5*a. What are the prime factors of a? 3, 5 Let g(p) = 2*p**3 + p**2 - p + 1. Let m be g(1). Let c(d) = -m*d - 2 + 1 + 7*d**2 - 5 - 1 - d**3. List the prime factors of c(6). 11 Let b(m) = -2*m**2 - 4*m - 2. Let z be b(-3). Let p(f) = f**3 + 7*f**2 - 12*f - 10. What are the prime factors of p(z)? 2, 11 Let q(d) = -3*d - 5. Let k be q(-4). Let j = 5 - k. List the prime factors of ((-9)/(-12))/(j/(-24)). 3 Let u = 32 + -50. List the prime factors of (-63)/u + 1/2. 2 Let g be (-2)/10 + (-52)/(-10). Let d(t) = -g - 5*t - 1 + 5 + 0. What are the prime factors of d(-1)? 2 Suppose -2*g + 17 = -17. Let z = g - 28. List the prime factors of (-1 - z) + (-2 - -2). 2, 5 Suppose -j - 4 = -0*j. What are the prime factors of j - -6 - (-6 + 2)? 2, 3 Let i(t) be the third derivative of -t**6/120 - 7*t**5/60 - 3*t**4/8 - t**3/2 - t**2. Suppose a = 5*r + 29, 2*a - 6 = 4*r + 16. List the prime factors of i(r). 3, 5 Let m(g) = -8*g. Let w be (-8)/6 + (-4)/6. List the prime factors of m(w). 2 Let z(j) = -j - 1. Let g be z(-7). Suppose 40 = -2*v + 5*c, 0 = c - 2. What are the prime factors of 82/g - (-10)/v? 13 Let o be (-1 + -3 + 14)*1. List the prime factors of 462/35 + (-2)/o. 13 Let d be -14*(-2 - -1) + -2. Suppose d*m - 115 = 7*m. List the prime factors of m. 23 Suppose -h - 7 = -o + 4*h, 4*h = 2*o - 32. Let n be -3*(-6)/(-9) - o. Let p = -15 - n. What are the prime factors of p? 3 Let f be 1/6 + (-10)/60. Suppose h - 5 = -f*h. List the prime factors of h. 5 Suppose 2 - 4 = j. Suppose -i - 4*i - 20 = 0. List the prime factors of i/j*(-15)/(-10). 3 Suppose 14 = 5*j - 3*y, y + 2*y = 4*j - 10. Suppose j*q = 10 + 10. Suppose -3*h + 0*h = -4*s - 22, -4*s = -q*h + 34. What are the prime factors of h? 2, 3 Let t(v) = v - 1. Let j be t(5). What are the prime factors of 6/((1 - -1)/j)? 2, 3 Let z(x) = x**3 + 7*x**2 - x - 3. Let o be z(-7). Suppose -3*g + 5 = -10. Suppose -4*p + o*y + y = -51, -4*y = -g*p + 57. List the prime factors of p. 3 Let q be 2/(-6) + (-73)/(-3). Suppose b - q = -3*w - 0*b, 4*b = -w + 8. List the prime factors of -18*(w/(-3))/4. 2, 3 Suppose 0 = -4*c, -4*c = 5*b + 24 + 141. Let v = b + 64. What are the prime fa
{ "pile_set_name": "DM Mathematics" }
t o be (8/6)/1*3. Let w be (-2968)/o*-1 + 3. Suppose 0*b = 5*b - w. Is b composite? False Suppose 50*o = 51*o - 4*s - 59547, 3*o - 178625 = 4*s. Is o a composite number? False Let f be 8/3*105/20. Let g be (-21)/f + 206/4. Let d = g + -3. Is d prime? True Is 422568/104 - (-6)/(-39) composite? True Suppose -3*c - h + 5 = 0, -3*c + 0*h - 5*h + 13 = 0. Suppose -x + 3 = c. Suppose -x*i + 861 = i. Is i a prime number? False Let k(t) = -3*t**3 - 17*t**2 + 30*t + 10. Let f be k(-14). Is (4/(-10))/((-4)/f) prime? True Let v be (-3)/9 + (-5)/(-15). Let g(f) = -f**2 + f + 6. Let n be g(v). Is (0 + 3)/(n/62) a prime number? True Let x(y) = y**3 - y**2 + 1. Let z(c) = 3*c**3 + 7*c**2 - 5*c + 6. Let d(j) = 2*x(j) - z(j). Is d(-11) prime? False Let i(n) = -12*n + 4. Let x be i(-3). Suppose 2*m - 5*z - x = 968, -4*z = 2*m - 972. Suppose 112 - m = -2*g. Is g a composite number? False Let o(j) = -14*j**2 + 24*j**2 - 2*j - 9*j**2 - 10*j - 5. Is o(14) composite? False Let p be ((1 - -9)*1)/2. Let j(d) = 12*d**2 - 15*d**2 + 6*d**2 + 6*d + 4. Is j(p) a prime number? True Let o = 12 - 10. Suppose -o*g - 2*g + 1312 = 0. Suppose -g = -5*r + r. Is r a composite number? True Let m(y) = -y**3 + 10*y**2 + 2*y + 11. Suppose -4*g = -6*g + 48. Let f be ((-12)/g)/((-1)/16). Is m(f) prime? False Is (-91)/13 - (1 + -4261) prime? True Let v = 397 + 772. Is v a composite number? True Is 1/(-6)*(38 - 21680) a composite number? False Let z(w) = 57*w**2 - 15*w - 131. Is z(-12) composite? True Suppose 4*c = 2*i + 76, -5*c = -0*c - 5*i - 85. Let m = c + -5. Let l = 333 - m. Is l a composite number? False Suppose -4 = 5*r - 24. Suppose 0 = -2*g + d + r, 4*g + 4*d = -5 + 37. Suppose v + 5*x = 39, -4*v - v = -g*x - 79. Is v composite? False Let j(w) = 26*w**2 + 2*w - 2. Let q = 27 - 25. Let d be j(q). Let f = 145 + d. Is f prime? True Let w(s) = -s + 1. Let l be w(0). Suppose -2*u - 8 = 0, -3*u = -3*y + 4*y + l. Suppose -z + y = -280. Is z a prime number? False Suppose 26*u = 10*u + 39184. Is u composite? True Suppose -3*t - 15 = -6*t. Suppose 0 = y + y + 2, 2238 = t*u - 3*y. Is u a prime number? False Suppose -5*r - 20 = 4*i, -r + 3*r + 8 = 4*i. Suppose 0 = -i*f + 2*f - 84. Suppose -g + f = g. Is g prime? False Suppose -7*g = -17*g + 54370. Is g a prime number? True Suppose 3*m - 6*m + c = -2068, -5*m = c - 3460. Is m prime? True Let a = 858 + -470. Suppose o = 5*o - a. Is o a prime number? True Suppose 10*r - 6426 = 3*r. Let q = -332 + r. Is q prime? False Let i(b) = b**2 - 4*b - 2. Let w be i(3). Let t = 17 + w. Is (-3 + (-140)/(-16))*t a composite number? True Let u(t) = -730*t - 467. Is u(-7) a prime number? True Let t(x) = x + 4. Let j be t(-3). Suppose 163 = 3*m + 2*i, -j - 7 = -4*i. Is m a composite number? False Let g = 1989 + 1258. Is g prime? False Let k = -3859 - -11528. Is k a composite number? False Let m(s) = -s**3 - 9*s**2 - 8. Let v be m(-9). Let d be (-3 - 0) + v/(-1). Suppose -h + 2*w + 85 = -0*w, -d*h + 2*w = -425. Is h prime? False Suppose 9*w - 694 = 7*w + 4*m, w - 312 = -5*m. Suppose 470 = f - w. Is f composite? True Let x = 50 + -29. Suppose 0*i = -3*i + 3*c + x, -3*c = 12. Let g(s) = 23*s**2 + 2*s - 2. Is g(i) prime? True Let k(c) = -c**2 - 9*c - 4. Let p be k(-8). Suppose p*m - 1833 = m. Is m composite? True Suppose v - 58 = -3*d + 3*v, -2*d = 2*v - 22. Is 12/d - (-193)/4 composite? True Suppose 3*v - 6 = 2*o, -3*v = 4*o + o + 15. Let r(t) = t**3 - 4*t**2 - 13*t + 16. Let h be r(8). Suppose v = -k + 277 + h. Is k a prime number? False Let u(c) = -c**2 - 2*c + 5. Let h be u(0). Suppose h*d + 1682 = -1208. Let o = d + 913. Is o composite? True Let k(g) = -3*g**3 + 2*g**2 - 2*g + 1. Let h be k(1). Let p be h/6 + 748/3. Is 5/((6/p)/2) a composite number? True Let t be 12/18 + (-13)/(-3). Suppose 1 = z + t. Is (-3 - z)/((-1)/(-127)) a prime number? True Let f(r) = -38*r + 37. Let p be f(-4). Suppose 4*u + l - 6356 = 0, 2989 + p = 2*u - l. Is u a prime number? False Let p = 275 + 24. Suppose 2*o - 4*u - 2102 = 0, -o - 2*u - p + 1370 = 0. Is o a prime number? True Is (-569066)/(-207) + 1/(-9) a composite number? False Let p(i) = i**3 - 26*i**2 + 6*i + 22. Let w(k) = k**3 - 28*k**2 + 5*k + 23. Let v(j) = -7*p(j) + 6*w(j). Let q = 31 + -20. Is v(q) prime? False Let b(o) = -o**3 - 9*o**2 - 4*o - 2. Let w be b(-8). Is (2771/w)/((-1)/2) a prime number? True Let j be (35/8 - 4)*8. Is 4 + (3 - -307) + j prime? True Let n(m) = -2*m**3 - 4*m**2 + 8*m + 3. Let q be n(-5). Suppose -11 = o + q. Is 2 + -6 + 1 - o prime? False Suppose 2*w - 26 = -5*f, -f + 5*w = -16 - 0. Let h(k) be the third derivative of 5*k**4/24 - 4*k**3/3 + k**2. Is h(f) a prime number? False Suppose -8*h + 3*h - 2*i = -75267, 3*h + 5*i - 45164 = 0. Is h prime? True Let n(s) = 1473*s**2 - 3*s + 61. Is n(-7) a composite number? True Let l(n) = 9*n - 4. Let b be l(-6). Let t = b + 98. Let a = 91 - t. Is a prime? False Let s(x) = -x**3 + 12*x**2 - x + 2. Let j be s(12). Let k = j - -13. Let q(f) = 3*f**3 - 4*f**2 + f - 2. Is q(k) a prime number? False Let i be (-7)/(-28) + (-4074)/8. Let q = -32 - i. Is q/5 - (-14)/(-35) composite? True Suppose -5*f + 1 = -14. Suppose 0*g + 3*g - 144 = 3*a, -146 = -f*g + 4*a. Is g composite? True Let q(b) = 3*b**2 - 8*b - 8. Let v(k) = k**3 + 7*k**2 - 17*k - 16. Let p(g) = -9*q(g) + 4*v(g). Is p(5) a composite number? True Let z(w) = 2*w**2 - 2. Let y be z(-3). Suppose 0 = -17*m + y*m + 337. Is m a prime number? True Suppose -77917 = -2*q + 3*m, 4*m - 6 + 10 = 0. Is q a prime number? False Suppose 2*d - 2*n = 3*n + 24, 2*d + 2*n = -4. Is (6188/8 - d)*2 a composite number? False Suppose 0 = b + 5*l - 8, 0 = 4*b + l - 13. Suppose 0*t - b*t + 5*f + 8974 = 0, -t - f + 2978 = 0. Is t prime? False Suppose -99*g + 39 = -96*g. Suppose -2*d = -g - 181. Is d a prime number? True Suppose 4*m = 8*m + 28. Let g(a) = -4*a**2 - 6*a + 9. Let j(i) = 8*i**2 + 13*i - 17. Let x(c) = 5*g(c) + 3*j(c). Is x(m) prime? True Let p(n) be the third derivative of 289*n**4/12 + 15*n**3/2 - 2*n**2 - 12. Is p(7) a composite number? False Suppose 59 = -2*g + 63. Suppose 6*o - o + g*z - 8287 = 0, -1 = -z. Is o prime? True Is (3 - (-52)/(-20))/(2/56215) a prime number? True Suppose 13*d - 503 = 420. Is d prime? True Let x(n) be the second derivative of -3*n**5/10 + n**4/6 - 4*n**3/3 - n**2/2 - 8*n. Let m be x(6). Let i = -804 - m. Is i composite? True Suppose -35*i - 25316 = -39*i. Is i composite? False Suppose -5*l - 3*p + 17 = -13, -2*p = -10. Suppose 0 = -l*x - 6, 29 + 92 = 3*s + 4*x. Let n = 134 - s. Is n a composite number? True Suppose 0*p = -2*p + 6. Let n(f) = 231 + 228 + 22*f - 460. Is n(p) composite? True Suppose 215*b = 226*b - 18227. Is b prime? True Is -3 + (-1 + 9141/3)*1 prime? False Suppose -23*t + 15*t + 229784 = 0. Is t composite? False Is (22*(-2)/(-20))/(11/26345) a composite number? True Suppose 89*o - 84*o - 48455 = 0. Is o a prime number? False Let a(o) = 96*o + 1. Let w be a(2). Is (-19 - 1)/(-4)*w composite? True Suppose -5*w + 4*q - 5442 + 93415 = 0, 17594 = w - q. Is w a prime number? True Suppose -6*l - 112813 = -897511. Is l a prime number? True Suppose -3*w - 2*m + 291 = -2*w, m + 297 = w. Suppose -c = 504 + w. Let u = -420 - c. Is u composite? False Let l(o) = -20*o**3 - 2*o**2 - 3*o + 26. Is l(-9) a composite number? True Let f(k) = -k - 5. Let y be f(-8). Let x = y + 28. Is x composite? False Suppose -3231 = -3*o - 4*b, -3*b = -3*o + 3157 + 53. Is o composite? True Let s = 2197 + 1658. Let k be (-4)/(0 + (-2)/1357). Let b = s - k. Is b prime? False Let x = 394 + 828. Let t = x - 305. Is t composite? True Let v(w) = 8*w**3 + 2*w**2 + 3*w + 2. Let d be ((-10)/(-3))/(-3*10/(-45)). Is v(d) a composite number? True Let p(f) = -f**3 - 23*f**2 + 23*f - 5. Is p(-28) a prime number? True Suppose -18955 = -4*w + 12457. Is w a prime number? True Let n = 2780 - 2449. Is n a prime number? True Let k(u) = 6*u**2 - 2*u. Let m be k(-1). Suppose -31769 = -m*z - 3201. Is z a composite number? False Is (-1585)/2*(-126)/45 a prime number? False Suppose 12567 = 3*s - 5*j + 2425, 6798 = 2*s + 4*j. Is s composite? False Let j(h) = h**2. Let m be j(0). Suppose x + 4 = b, -3*b - 10*x = -8*x - 17. Suppose m = b*v - 4 - 251. Is v composite? True Let n be ((-3)/(-18) + (-2)/3)*-332. Let o = n + 165. Is o
{ "pile_set_name": "DM Mathematics" }
1647 What is the smallest value in 0.17, 0.5, 2? 0.17 What is the third biggest value in -4, 0.4, 0.11, 7? 0.11 What is the biggest value in 0.112, -0.4, 0.4? 0.4 What is the fifth biggest value in -3/4, 0.8, 10/3, 0.1, 0? -3/4 What is the third smallest value in 4, 4/11, 0.4, 28, 2? 2 Which is the second smallest value? (a) -0.1 (b) -18 (c) -8 c What is the third biggest value in 0.3, -3, -0.25? -3 What is the second biggest value in -1/3, 3, -2/5, 1.16? 1.16 Which is the third smallest value? (a) -1 (b) 2/7 (c) 0.2 (d) -211 c Which is the fourth smallest value? (a) -2 (b) 0.7 (c) 1/8 (d) -2/5 b What is the biggest value in 1, 1/5, 11? 11 What is the fourth smallest value in 0, 2, -8, -0.06? 2 Which is the third biggest value? (a) 3/7 (b) -3 (c) 51 b Which is the third biggest value? (a) -1 (b) 0.3 (c) 1 (d) -0.4 (e) 0.236 e What is the biggest value in 2/19, 0.02, 17? 17 Which is the third smallest value? (a) 4/7 (b) -5 (c) 0 (d) 416 a What is the third smallest value in -0.66, -0.2, 2/5, 4? 2/5 What is the third smallest value in -1, -415, 4/3? 4/3 Which is the third smallest value? (a) 2/3 (b) -1/5 (c) 8/5 c What is the second smallest value in 2/5, 2/13, 5, 1, 2/9? 2/9 What is the fourth biggest value in -0.088, -5/2, -13, -0.5? -13 Which is the third biggest value? (a) -0.1 (b) 2/7 (c) 5 (d) -358 a Which is the third smallest value? (a) -7 (b) 0 (c) 3 (d) -3/4 b What is the second smallest value in 6, -1/4, -0.2, 0.1, 5? -0.2 Which is the second biggest value? (a) -30 (b) -5 (c) 3 (d) 0.5 d Which is the biggest value? (a) -0.4 (b) -107 (c) 0.2 c Which is the second biggest value? (a) -1/7 (b) -0.163 (c) -1 (d) -1/2 b Which is the smallest value? (a) -4 (b) 1539 (c) -0.3 (d) -0.1 (e) -2/11 a What is the fourth smallest value in -2/7, -2/5, -0.0362, 3? 3 What is the second smallest value in -9, -4, 0.06, 3? -4 What is the second biggest value in -2/7, -1/39, -2? -2/7 Which is the fourth biggest value? (a) 2 (b) 3 (c) 3/7 (d) -1 d What is the third smallest value in 0.01, 3, 5, -0.5? 3 Which is the fourth biggest value? (a) 0 (b) 5 (c) -5 (d) -2/49 c Which is the third biggest value? (a) -3 (b) -0.1 (c) 0.093 a What is the biggest value in 5, 1, 66, 0? 66 Which is the biggest value? (a) 46 (b) 1/2 (c) -0.3 a What is the biggest value in 3/7, 0.2, -4, 9/4? 9/4 Which is the fourth smallest value? (a) 1 (b) 6.2 (c) -4 (d) 4 b What is the third biggest value in 44, 5/3, 1.8? 5/3 What is the third biggest value in -13, -124, 1/4, 5? -13 Which is the third smallest value? (a) -1/5 (b) -6/5 (c) 1 (d) -3 (e) -5 b Which is the second biggest value? (a) 0.05 (b) -0.16 (c) -4 (d) -2.3 b Which is the third smallest value? (a) -1 (b) 3 (c) -21 b What is the fifth smallest value in 1/4, 3/4, 0.3, -1/217, 2/9? 3/4 What is the third biggest value in -6, -2/11, -4? -6 What is the second smallest value in 1, -1030, -0.3, 2/13? -0.3 What is the second biggest value in 5, -5, -4, 2, -2? 2 Which is the third smallest value? (a) 0.06 (b) -1 (c) 0.04 a Which is the third biggest value? (a) -1566/11 (b) 2/17 (c) -1/8 a Which is the third biggest value? (a) -41 (b) -5 (c) 5 a Which is the fourth smallest value? (a) 0.2 (b) -6 (c) -3/8 (d) 0.4 (e) 0 a Which is the third smallest value? (a) 3/11 (b) -273 (c) 4 c Which is the third biggest value? (a) -2/93 (b) -2/17 (c) -3 (d) -0.3 d Which is the smallest value? (a) -0.2 (b) -2/7 (c) -5 (d) 16 (e) 5 c What is the third biggest value in 5, -0.3, -2/3, 11? -0.3 Which is the second biggest value? (a) -2/9 (b) -0.4 (c) 10 a What is the smallest value in -1/9, 0.03, -0.001? -1/9 What is the second smallest value in -0.1, -2/3, 831? -0.1 What is the biggest value in 2, 388, -4? 388 What is the fourth biggest value in -1, 18/7, -1/3, 0.5? -1 Which is the second biggest value? (a) 4 (b) -13 (c) -12 (d) -2 d Which is the fifth smallest value? (a) 1 (b) -7 (c) 2/3 (d) -1 (e) 1/5 a Which is the biggest value? (a) 0.2 (b) 183 (c) 1/4 b What is the third biggest value in 1, -5, -985? -985 Which is the third smallest value? (a) 0.037 (b) 1.3 (c) 0.3 b What is the third smallest value in -0.4, 0.5, -2/13, -0.26? -2/13 What is the fourth smallest value in 1/3, 0.4, 38, 3? 38 What is the third biggest value in -7, -4/7, -4, -6/7, 0.1? -6/7 Which is the third smallest value? (a) -1.6 (b) -1/9 (c) -0.3 b What is the third smallest value in -1, -8, -2, -2/15, 2/5? -1 What is the biggest value in 11, -5, -1/4, -7? 11 Which is the biggest value? (a) -1/8 (b) 179 (c) 2/19 b Which is the third biggest value? (a) 33/2 (b) 4 (c) -1 c Which is the second smallest value? (a) 1.19 (b) -1 (c) -2/3 c What is the second smallest value in -4, 2/3, 4/3, 3/2, 18/37? 18/37 What is the second smallest value in -4, 5, -1.1, -62, 0.4? -4 What is the second biggest value in 4.16, 1/8, 3? 3 Which is the fourth smallest value? (a) -2/365 (b) 0.4 (c) -4 (d) 4/3 d Which is the third biggest value? (a) 21 (b) -0.4 (c) 25 b What is the third smallest value in -3, 3/7, 0, -5, -118? -3 Which is the third smallest value? (a) -2 (b) -3/14 (c) 5/2 (d) -4 b Which is the second smallest value? (a) -2/7 (b) 2 (c) 5 (d) 1 d What is the third smallest value in 29, -4, -219? 29 What is the third smallest value in 10, 2, -9? 10 Which is the biggest value? (a) 0 (b) -2/7 (c) -5 (d) -0.19 a Which is the second biggest value? (a) 1/4 (b) -3/2 (c) 51 (d) -21 a What is the third smallest value in 23, 2/27, 0.5, 0? 0.5 Which is the second biggest value? (a) 3.55 (b) 2/9 (c) 12 a What is the biggest value in -3, 6, 4? 6 What is the third biggest value in 2, 0, -0.15, -5? -0.15 Which is the second smallest value? (a) -0.2 (b) -4168 (c) -5 (d) 4 c What is the third biggest value in 1, -2/77, -299? -299 What is the biggest value in 0.5, -4, 1.5, -1, -3/5? 1.5 What is the third biggest value in 2.31, 0, -0.5? -0.5 What is the fourth biggest value in -516, 3, 0.2, -2? -516 Which is the second smallest value? (a) -1/15 (b) 0 (c) 1/3 (d) -0.1 (e) 23/6 a What is the second biggest value in 7, 2, -35, 0.5? 2 What is the smallest value in -1/2, -3/10, -29? -29 Which is the second biggest value? (a) -2/437 (b) 0.4 (c) 0.2 c What is the third smallest value in -0.4, -3/5, -1/4, -4, -1.09? -3/5 What is the smallest value in 4, -0.24, 1? -0.24 What is the third biggest value in 0.3, -5, -121, -3? -5 Which is the smallest value? (a) -13/11 (b) -3/2 (c) 0.3 (d) 2/11 b Which is the third biggest value? (a) -1/2 (b) 1/6 (c) 20 (d) -3/2 a What is the second smallest value in 3/7, 0, -2, 0.27, 0.9? 0 Which is the fourth biggest value? (a) 197 (b) -3/4 (c) 0.2 (d) 0.5 b What is the second smallest value in 0.4, -0.2, 2, 3/4, -37? -0.2 Which is the second biggest value? (a) 290 (b) 0.02 (c) -3 b Which is the third biggest value? (a) 3/2 (b) -2 (c) 3/47 b What is the biggest value in 17, 3/2, 0.14? 17 What is the smallest value in -20, -0.1, 3, 0.4, -4? -20 Which is the second biggest value? (a) -1/3 (b) 5 (c) -1/4 (d) -0.04 d What is the biggest value in 0.3, 0.031, -6, -1? 0.3 What is the biggest value in -0.059, 1, 0.5? 1 Which is the fourth smallest value? (a) 23 (b) -21 (c) 1/5 (d) -0.3 (e) 0.5 e What is the fourth smallest value in 0, 0.2, 0.06, -1? 0.2 What is the fourth smallest value in 0.5, -3, 1, 4? 4 Which is the fourth biggest value? (a) -25 (b) -1 (c) -0.1 (d) -10/11 a Which is the third biggest value? (a) 0.5 (b) 6 (c) -1 (d) -0.2 (e) -0.12 e What is the smallest value in 1/9, 8, 2/11, 7? 1/9 What is the smallest value in 37, 0, -3/4, 3/7, -25? -25 What is the fourth smallest value in -1, 1, 20, 48/5? 20 What is the second smallest value in -0.4, -7, -3, 23? -3 What is the third smallest value in -2/71, -3, 2/21, 1/5? 2/21 What is the second biggest value in -13, 238, -1, 1? 1 What is the smallest value in 0.2, -1, -1/3? -1 What is the third smallest value in 3/61, 0, 5? 5 What is the third smallest value in -2/13, 436/7, -3? 436/7 What is the second biggest value in 0.2, 0.9, 0.5, 2? 0.9 What is the smallest value in 6, -20, 0.5? -20 What is the third biggest value in -0.4, -1,
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {t: 2, h: 1, b: 5, r: 1, l: 6}? 1/2730 Calculate prob of sequence ovoo when four letters picked without replacement from ovovvvovvv. 1/120 What is prob of sequence xx when two letters picked without replacement from xxx? 1 What is prob of sequence lru when three letters picked without replacement from {r: 1, l: 1, u: 1}? 1/6 Calculate prob of sequence oo when two letters picked without replacement from {o: 5, q: 1, m: 4, y: 3}. 5/39 Two letters picked without replacement from {y: 5, m: 2, n: 13}. Give prob of sequence nm. 13/190 What is prob of sequence eeha when four letters picked without replacement from weawhwweeehhyeah? 1/273 Calculate prob of sequence bbba when four letters picked without replacement from aaaabababababaaaaab. 65/3876 Calculate prob of sequence nxx when three letters picked without replacement from {x: 5, n: 2}. 4/21 What is prob of sequence kc when two letters picked without replacement from {c: 6, k: 7, p: 2}? 1/5 Three letters picked without replacement from {l: 1, i: 4, c: 2, k: 2}. What is prob of sequence ckc? 1/126 Three letters picked without replacement from kmmarcccccmrcc. Give prob of sequence mcc. 3/52 Calculate prob of sequence qp when two letters picked without replacement from hepwbbq. 1/42 What is prob of sequence rn when two letters picked without replacement from {i: 1, n: 1, r: 1, y: 2, b: 2}? 1/42 Two letters picked without replacement from kkkmmkmmkkkkkkkmkkk. What is prob of sequence km? 35/171 Three letters picked without replacement from {b: 1, a: 6, g: 2, q: 2}. What is prob of sequence aba? 1/33 Four letters picked without replacement from yeyeeeeeyeyyeeyeeye. What is prob of sequence eyyy? 35/1292 Calculate prob of sequence fjf when three letters picked without replacement from pkdjfdddpzpf. 1/660 Three letters picked without replacement from llgolollollolg. Give prob of sequence gog. 1/273 Four letters picked without replacement from vovaoa. Give prob of sequence aoav. 1/45 What is prob of sequence nu when two letters picked without replacement from ququcunzqzu? 2/55 What is prob of sequence qbbq when four letters picked without replacement from bbbbbmbqqb? 1/60 What is prob of sequence uutq when four letters picked without replacement from quluntquttttttqttut? 5/1292 Three letters picked without replacement from sssssss. What is prob of sequence sss? 1 Calculate prob of sequence lyzl when four letters picked without replacement from {l: 3, z: 2, y: 5, q: 1, j: 1}. 1/198 What is prob of sequence yyy when three letters picked without replacement from yyyyyy? 1 Two letters picked without replacement from xnn. What is prob of sequence nx? 1/3 Calculate prob of sequence hlby when four letters picked without replacement from lybylbkbhbblbdy. 3/1820 Calculate prob of sequence cr when two letters picked without replacement from {s: 2, r: 1, g: 9, c: 1}. 1/156 Two letters picked without replacement from {b: 1, g: 1, h: 2, i: 2, y: 3, p: 8}. What is prob of sequence hi? 1/68 Three letters picked without replacement from {m: 3, o: 17}. Give prob of sequence omo. 34/285 What is prob of sequence ewss when four letters picked without replacement from {e: 2, s: 5, w: 3}? 1/42 What is prob of sequence qe when two letters picked without replacement from qqeqqqqqqqqqqqqqqqq? 1/19 Calculate prob of sequence owl when three letters picked without replacement from wowrjolwwosl. 1/55 Two letters picked without replacement from pmbcb. What is prob of sequence cb? 1/10 Three letters picked without replacement from dyvvviidiiigwiwiwii. Give prob of sequence wdi. 3/323 Four letters picked without replacement from {b: 3, s: 1, v: 1}. Give prob of sequence bvsb. 1/20 Two letters picked without replacement from dppppypdddppy. What is prob of sequence yp? 7/78 Two letters picked without replacement from wwiwwuwywwwt. What is prob of sequence yu? 1/132 Three letters picked without replacement from bysemamebyae. What is prob of sequence bes? 1/220 Three letters picked without replacement from {t: 1, y: 5, g: 3, d: 3, f: 8}. Give prob of sequence gfy. 1/57 What is prob of sequence do when two letters picked without replacement from dmomdodmommmdomooo? 14/153 Two letters picked without replacement from ggggggggggggggggjg. Give prob of sequence gg. 8/9 Four letters picked without replacement from {t: 2, k: 3}. Give prob of sequence ktkt. 1/10 Two letters picked without replacement from kywvkyykvkkwhk. Give prob of sequence hy. 3/182 Four letters picked without replacement from {s: 1, i: 1, p: 1, b: 2, c: 2, l: 1}. Give prob of sequence bpli. 1/840 Two letters picked without replacement from {p: 1, t: 1, v: 1}. Give prob of sequence pv. 1/6 Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuu. 1 Two letters picked without replacement from {n: 3, i: 5}. What is prob of sequence ni? 15/56 Four letters picked without replacement from vovdmdz. Give prob of sequence mozd. 1/420 Four letters picked without replacement from {n: 2, j: 1, a: 1, h: 1}. What is prob of sequence anhn? 1/60 What is prob of sequence tt when two letters picked without replacement from ckhthkckthhcyc? 1/91 Two letters picked without replacement from {k: 4, w: 4, o: 1, y: 1, i: 1}. Give prob of sequence ik. 2/55 Four letters picked without replacement from zmzxzzmmnmmmuzzxmnzm. Give prob of sequence zumn. 14/14535 Three letters picked without replacement from hshhsxhlsslhhsr. Give prob of sequence lxl. 1/1365 Two letters picked without replacement from {t: 7, k: 7}. Give prob of sequence tk. 7/26 What is prob of sequence qdxk when four letters picked without replacement from qedxkbk? 1/420 Two letters picked without replacement from {l: 11, c: 2, a: 6}. Give prob of sequence cl. 11/171 Calculate prob of sequence ax when two letters picked without replacement from {a: 1, c: 3, n: 1, i: 5, x: 2}. 1/66 What is prob of sequence ds when two letters picked without replacement from uddruirsdsre? 1/22 Calculate prob of sequence mssq when four letters picked without replacement from {m: 2, a: 3, q: 2, s: 5}. 2/297 Calculate prob of sequence nsx when three letters picked without replacement from {m: 1, h: 6, n: 1, x: 2, s: 2, d: 7}. 2/2907 Calculate prob of sequence ew when two letters picked without replacement from fttwebwnwwtw. 5/132 Four letters picked without replacement from {g: 1, l: 4, h: 9}. Give prob of sequence lhhl. 36/1001 Calculate prob of sequence ff when two letters picked without replacement from fflflffffffofflllf. 22/51 What is prob of sequence tvfx when four letters picked without replacement from vvxdxxvftvdtvdvxf? 1/595 Four letters picked without replacement from xauxauuanlnnpuanannn. What is prob of sequence uxnl? 7/14535 Calculate prob of sequence iv when two letters picked without replacement from {v: 3, b: 5, x: 2, i: 3}. 3/52 Two letters picked without replacement from xlxnxmxxlw. Give prob of sequence lm. 1/45 Four letters picked without replacement from {k: 8, v: 2, u: 2, h: 2, z: 1}. Give prob of sequence khkh. 2/585 Three letters picked without replacement from zrzorozzremoomro. Give prob of sequence zoz. 1/56 Two letters picked without replacement from {t: 2, j: 7, m: 6}. What is prob of sequence mm? 1/7 Two letters picked without replacement from hoicw. What is prob of sequence wh? 1/20 Three letters picked without replacement from {g: 3, l: 1, o: 2, w: 3, y: 1, s: 9}. What is prob of sequence yls? 1/646 Three letters picked without replacement from aaaraxaajxxue. What is prob of sequence axx? 3/143 Two letters picked without replacement from {t: 6, o: 2}. What is prob of sequence tt? 15/28 Four letters picked without replacement from {i: 5, j: 3}. Give prob of sequence jjii. 1/14 Calculate prob of sequence orzj when four letters picked without replacement from {z: 5, e: 1, r: 1, o: 3, j: 2}. 1/396 What is prob of sequence bcc when three letters picked without replacement from cccccbcccbcccbc? 66/455 Calculate prob of sequence pp when two letters picked without replacement from wppws. 1/10 Four letters picked without replacement from buuxbbbxzz. What is prob of sequence xxzu? 1/630 Two letters picked without replacement from ujjuuquhuiuuuuuhuquu. Give prob of seq
{ "pile_set_name": "DM Mathematics" }
4315373 divided by -1178509 97 Calculate -2584 divided by 3637. -2584/3637 Calculate -24498936 divided by 151228. -162 Calculate -27863916 divided by -12. 2321993 Divide 28980 by -175. -828/5 12636624 divided by 2002 6312 Calculate 276 divided by -2305502. -138/1152751 -4 divided by -8181773 4/8181773 Calculate -15274593 divided by 3123. -4891 Divide 1559 by -27026. -1559/27026 Divide -11042130 by 334610. -33 -11642058 divided by -5821029 2 254 divided by 24814 127/12407 Divide -3 by 46981168. -3/46981168 Divide -5286313 by -5286313. 1 Calculate -189899047 divided by -13. 14607619 72 divided by 1810081 72/1810081 Calculate 5851698 divided by -5851698. -1 Divide -28729988 by 46564. -617 1475 divided by 45738 1475/45738 Divide 18089 by -441. -18089/441 -14443165 divided by -119365 121 -1 divided by 1121039 -1/1121039 Calculate 232879549 divided by 697. 334117 Divide 57 by -320307. -19/106769 Divide -45253260 by 251407. -180 Calculate 200833005 divided by -103. -1949835 What is 293 divided by -1012496? -293/1012496 What is 2916276 divided by 44186? 66 Divide -10302 by -14185. 10302/14185 391304094 divided by -3 -130434698 Divide -67 by -388944. 67/388944 Calculate -9 divided by 1366255. -9/1366255 What is -6059 divided by 6826? -6059/6826 17 divided by 7457236 17/7457236 What is -143650877 divided by -743? 193339 What is 5620048 divided by -6? -2810024/3 -52329914 divided by -1729 30266 What is -13 divided by -378082? 13/378082 -746221 divided by -695 746221/695 Divide -820066920 by -3. 273355640 What is 63887895 divided by -495255? -129 22376 divided by 253 22376/253 Divide 2006585 by 401317. 5 Calculate 4633 divided by -4685. -4633/4685 -1 divided by 134059294 -1/134059294 Divide 3 by 91527240. 1/30509080 Divide 882608 by -133. -882608/133 72 divided by -186844 -18/46711 What is 182818 divided by 973? 182818/973 Calculate 286564788 divided by -71641197. -4 Calculate 262 divided by -5937. -262/5937 Calculate 39235110 divided by 5385. 7286 -2050131 divided by 3 -683377 What is 19 divided by 7215144? 19/7215144 What is -7104084 divided by 1209? -5876 What is -6278464 divided by 1569616? -4 What is -13 divided by 169388? -13/169388 What is 3075066 divided by -95? -3075066/95 1265964 divided by 180852 7 -24 divided by -24617892 2/2051491 82091086 divided by -316954 -259 7 divided by -561143 -7/561143 Calculate 616 divided by -23855. -616/23855 What is -187218896 divided by -883108? 212 Calculate -2866224 divided by 283. -10128 What is 101209102 divided by 14827? 6826 Divide 10022873 by -10301. -973 Divide -10 by -1724859. 10/1724859 What is 40913697 divided by -1? -40913697 What is -8249352 divided by 24? -343723 Divide 7236608 by 28268. 256 Calculate -3820986 divided by 146961. -26 Divide -75435358 by -130511. 578 Calculate 1104630 divided by 287. 1104630/287 2444512 divided by 112 21826 What is 365 divided by -20893? -365/20893 What is 18026771 divided by 9? 18026771/9 -120 divided by -672950 12/67295 Calculate -2 divided by 23479771. -2/23479771 What is -2627 divided by 9899? -2627/9899 What is 276147140 divided by -8284? -33335 -975451 divided by 975451 -1 Calculate -44342536 divided by -511. 86776 -17 divided by -188066 17/188066 What is 38582742 divided by 11? 3507522 Divide -426 by 819116. -213/409558 What is 6 divided by -279977? -6/279977 Divide -1063 by -4413. 1063/4413 -59846643 divided by -19948881 3 Calculate -349219 divided by -1. 349219 Divide -408 by -69609. 136/23203 Divide 12 by -32354847. -4/10784949 Divide 177409188 by 2688018. 66 Calculate 74366394 divided by 174569. 426 What is 10031840 divided by -416? -24115 -4 divided by -6249565 4/6249565 Calculate 34 divided by 130726. 17/65363 Divide -3 by 1035603. -1/345201 Calculate 58548004 divided by -14637001. -4 What is 6148500 divided by -2049500? -3 Divide 3011410 by -9. -3011410/9 Divide -502154 by -3. 502154/3 151 divided by -9558 -151/9558 Divide 1652192 by 4. 413048 What is -356720724 divided by -6994524? 51 873651 divided by 4 873651/4 Calculate 46 divided by 178529. 46/178529 Calculate 10802 divided by -13972. -5401/6986 Calculate -1822918964 divided by -4. 455729741 Calculate 51539928 divided by -4728. -10901 What is -4 divided by -8661779? 4/8661779 -68571294 divided by -22857098 3 Divide -5 by -86981120. 1/17396224 -33 divided by -6778084 33/6778084 Divide -1137644 by -2. 568822 Calculate -1080027 divided by 27. -40001 129761730 divided by -3707478 -35 -1286336511 divided by -2 1286336511/2 -8 divided by -60852 2/15213 What is -6867216 divided by 309? -22224 Calculate -40 divided by 8726041. -40/8726041 -751 divided by -333694 751/333694 Calculate 8115939 divided by -9. -901771 Divide 170853500 by -34170700. -5 Divide 6636430 by -1. -6636430 Calculate -4 divided by 452890. -2/226445 Divide -19030016 by -184. 103424 What is -24279372 divided by -3? 8093124 Calculate -113399010 divided by -827730. 137 Divide -394069884 by 6. -65678314 What is -1103 divided by -471? 1103/471 -15 divided by -10571168 15/10571168 23118588 divided by -246 -93978 What is -3958917 divided by -29? 3958917/29 Calculate -71443344 divided by -78337. 912 -3407455 divided by -1 3407455 What is -287158176 divided by -288? 997077 What is -5 divided by -54555843? 5/54555843 What is 0 divided by 213071425? 0 Divide -6047078 by 1847. -3274 Divide -6 by 5880990. -1/980165 Calculate -787697772 divided by 6. -131282962 Calculate -7 divided by 2190185. -7/2190185 -2129 divided by 1686 -2129/1686 -20947542 divided by 6982514 -3 37094900 divided by -9273725 -4 80341190 divided by -16068238 -5 379340 divided by -226 -189670/113 Calculate -121607208 divided by 1. -121607208 Calculate 204 divided by 2830. 102/1415 What is 283097208 divided by 1097276? 258 Divide 100674588 by 214. 470442 Divide -22111 by -1030. 22111/1030 What is 1 divided by -34952119? -1/34952119 -2 divided by 984410 -1/492205 81867430 divided by -16373486 -5 Calculate 7418556 divided by 9. 824284 Calculate 7539160 divided by 680. 11087 Divide -12096661 by 2. -12096661/2 Calculate -28479316 divided by 32. -7119829/8 -4396 divided by 3254 -2198/1627 What is -576819720 divided by -3? 192273240 -866592 divided by 16 -54162 Divide 146355300 by 1626170. 90 Divide 237456 by 816. 291 666 divided by -28653 -222/9551 Calculate -2069102 divided by 1034551. -2 What is 752 divided by 147233? 752/147233 Divide 19055744 by 2. 9527872 -7113912 divided by -2 3556956 What is -3002610 divided by -38495? 78 -3 divided by 7433998 -3/7433998 Calculate 27341300 divided by -70. -390590 What is -9339927 divided by 267? -34981 Divide 2 by -15180662. -1/7590331 Divide -17466350 by -349327. 50 106 divided by 4701349 106/4701349 Calculate -656593 divided by 115. -656593/115 Calculate 497392312 divided by 4. 124348078 Calculate -3813068 divided by 953267. -4 What is 164430720 divided by -36? -4567520 -359184194 divided by -2 179592097 1080386580 divided by 76105 14196 What is 61714733 divided by 3? 61714733/3 What is -2903850 divided by 580770? -5 Calculate -33753 divided by 1051. -33753/1051 Calculate -3006131280 divided by -4. 751532820 Calculate 133558056 divided by -12. -11129838 What is -529 divided by 19757? -23/859 Calculate 323434217 divided by -4. -323434217/4 What is 11730957 divided by 3910319? 3 Calculate 335610000 divided by 372900. 900 Divide -224580 by 1146. -37430/191 Divide -3 by 64264120. -3/64264120 Calculate 1 divided by 77577763. 1/77577763 Calculate -3970454 divided by -2. 1985227 Divide -6591 by 2050. -6591/2050 Divide -35117001 by 6. -11705667/2 What is -12953 divided by 1512? -12953/1512 79470 divided by -2048 -39735/1024 45739771 divided by -3 -45739771/3 What is 1590 divided by 378875? 318/75775 Calculate 3 divided by -75132417. -1/25044139 187099 divided by 24 187099/24 -37084 divided by -23 37084/23 -854167 divided by 42 -854167/42 Divide 85929516 by -2. -42964758 6297 divided by -27716 -6297/27716 What is 1993485 divided by -4? -1993485/4 -55977 divided by -4566 18659/1522 Calculate -1355056 divided by 53. -1355056/53 What is 12257664 divided by 192? 63842 What is 26178249 divided by 3? 8726083 Calculate -32867 divided by 203. -32867/203 Calculate 65974791 divided by -3. -21991597 Divide -2 by 1983643. -2/1983643 What is 2797366 divided by -3
{ "pile_set_name": "DM Mathematics" }
n 102*z + 101*z + 2019*z**2 - 399*z + 103*z + 96*z. 2019*z**2 + 3*z Collect the terms in -142 + x**2 + 255*x + 18*x**2 - 14*x**2 + 140. 5*x**2 + 255*x - 2 Collect the terms in 104*x**2 - 105 + 64 - 131*x**2 + 41. -27*x**2 Collect the terms in -4 + 1652*g + g**2 - 509*g - 741*g. g**2 + 402*g - 4 Collect the terms in -6*h + 8*h - 4*h + 0*h + 1037. -2*h + 1037 Collect the terms in -11*k**3 + 13*k**3 + 223*k + 1610*k. 2*k**3 + 1833*k Collect the terms in 1213*u**3 - 2431*u**3 + 1150*u**3. -68*u**3 Collect the terms in -1 + 2*u + 62 - 24 - u - 4*u - 25. -3*u + 12 Collect the terms in -453 + 453 + 76749*v**2 + 90559*v**2. 167308*v**2 Collect the terms in 31066064476 - 8*r + 2*r - 62132128956 + 31066064480. -6*r Collect the terms in -12358*d + 0 + 0 - 4577*d. -16935*d Collect the terms in -11368*s**3 + 10197*s**3 + 1168*s**3. -3*s**3 Collect the terms in -21086*r**2 - 60641*r**2 + 2*r - 2*r. -81727*r**2 Collect the terms in 88 + 18*b + 10*b + 157 - 245. 28*b Collect the terms in -15283*u + 7581*u + 7683*u. -19*u Collect the terms in -2330212*y**2 - 3098 + 3098. -2330212*y**2 Collect the terms in 3129645*i**2 + 1 - 3131868*i**2 - 1. -2223*i**2 Collect the terms in 42 - 42 - 14874*j**2 - 18056*j**2. -32930*j**2 Collect the terms in 187 + 188 + 1622*r**2 - 751 + 190 + 186. 1622*r**2 Collect the terms in 64*g**2 - 31*g**2 - 35901 - 36*g**2. -3*g**2 - 35901 Collect the terms in -9200*j**2 - 317860*j**2 + 85857*j**2 - 101358*j**2. -342561*j**2 Collect the terms in 1217*n + 25500 + 601*n - 25500. 1818*n Collect the terms in 1465240620 - 1465240620 + 7*t. 7*t Collect the terms in 3779393400*v**2 - 60 + 25 + 35 - 3779393402*v**2 + 33*v. -2*v**2 + 33*v Collect the terms in -344*x**3 - 4 + 4*x**2 - 5 + 396*x**3 - 2 + 2. 52*x**3 + 4*x**2 - 9 Collect the terms in 3985965*s + 0 + 7 - 3985967*s + 15. -2*s + 22 Collect the terms in -5*t + 340*t**2 + 86*t**3 + 67 - 340*t**2 - 84. 86*t**3 - 5*t - 17 Collect the terms in 18*x + 10*x + 14*x + 17*x - 8*x - 42*x. 9*x Collect the terms in 54*y**2 + 347*y + 184*y - 532*y. 54*y**2 - y Collect the terms in -87*b - 47773 + 33*b**3 - 30*b**3 + 47773. 3*b**3 - 87*b Collect the terms in 5*u**2 + 6*u**2 + u**2 + 8393057*u - 8393057*u. 12*u**2 Collect the terms in 197 - 4*v**2 + 3*v**2 + 7641*v - 2. -v**2 + 7641*v + 195 Collect the terms in -1 - 210013*i + 1 - 70700*i. -280713*i Collect the terms in -2792999*g**3 + 2793002*g**3 + 310*g**2 - 112*g**2. 3*g**3 + 198*g**2 Collect the terms in 124677*l - 30 + 30. 124677*l Collect the terms in -51*t**3 + 12*t**3 + 8*t**3 + 9*t**2 + 35*t**2 + 34*t**3. 3*t**3 + 44*t**2 Collect the terms in -18689845 + 0*l**2 + l**2 - 17865823. l**2 - 36555668 Collect the terms in 140 - 144 - 320*y**3 - 317*y**3. -637*y**3 - 4 Collect the terms in -3*i - 7433*i**2 + 14812*i**2 - 6559*i**2. 820*i**2 - 3*i Collect the terms in 18542*j**3 + 67069*j**3 + 154637*j**3 + 51263*j**3 + 4. 291511*j**3 + 4 Collect the terms in -9*m - 8*m + 615 + 26*m - 6*m - 319 - 296. 3*m Collect the terms in 4278338324 - 4278338324 + 41*u. 41*u Collect the terms in 69 + 64 + 0*j + 34*j**2 - 203 + 67 + 3*j. 34*j**2 + 3*j - 3 Collect the terms in 1 + 4 - 786479*a**2 - 5 + 786462*a**2. -17*a**2 Collect the terms in 175293*f**3 + 32 + 26 - 58 - 175236*f**3. 57*f**3 Collect the terms in 12572*s + 9*s**2 - 12572*s - 16*s**2 + 14*s**3 + 7*s**2. 14*s**3 Collect the terms in -14738*o**2 - 14429*o**2 + 29169*o**2. 2*o**2 Collect the terms in -7296*l**3 - 7273*l**3 - 8691*l**3. -23260*l**3 Collect the terms in -2*l**2 - 13*l**2 + 1262 - 3*l**2 - 15*l**2 + 5*l**2. -28*l**2 + 1262 Collect the terms in 209 - 199*c - 51*c + 57*c - 220*c. -413*c + 209 Collect the terms in -2065*k**3 - 4524*k**3 + 6545*k**3. -44*k**3 Collect the terms in 4*u**2 - 433 - 402 - 462 + 1297. 4*u**2 Collect the terms in -175 + 291*c**3 + 142 + 46 - 290*c**3. c**3 + 13 Collect the terms in -305*r**2 + 440*r**2 + 533*r**2. 668*r**2 Collect the terms in 73*y + 220*y - 293*y - 4 - 205*y**2. -205*y**2 - 4 Collect the terms in 886*v - 34*v**3 + 1303*v**2 + 1302*v**2 - 2605*v**2. -34*v**3 + 886*v Collect the terms in 93*q - 28 - 14 + 44. 93*q + 2 Collect the terms in 31968*r - 7962*r - 7961*r - 7991*r - 7999*r. 55*r Collect the terms in 7 - 2 - 3767618*d**2 - 4 + 1 - 2 + 3767625*d**2. 7*d**2 Collect the terms in -57541 + 732*x**3 + 57541. 732*x**3 Collect the terms in -19932*p - 24*p**2 - 19952*p + 39884*p. -24*p**2 Collect the terms in -7076*t + 3 + 2350*t + 2359*t + 2358*t - 3. -9*t Collect the terms in -33821*z - 20 - 21 + 41. -33821*z Collect the terms in 109*q + 12*q - 132*q + 17*q + 5*q. 11*q Collect the terms in 294*v**3 + 292*v**3 - 1719*v**3 + 286*v**3 + 284*v**3 + 291*v**3 + 290*v**3. 18*v**3 Collect the terms in 543*o - 68*o + 2*o**3 - o**3 + 13 + 4*o**2 + 0*o**3 + 7. o**3 + 4*o**2 + 475*o + 20 Collect the terms in 7823270*l + 7823269*l + 7823260*l + 7823274*l - 31293069*l. 4*l Collect the terms in -2 - 24580*m**3 - 830*m**3 + 2164*m**3 + 2. -23246*m**3 Collect the terms in -6821*d**2 - 6883*d**2 + 2313*d**2 - 1306*d**2. -12697*d**2 Collect the terms in -3444*u**2 + 3442*u**2 + 58*u + 65*u. -2*u**2 + 123*u Collect the terms in 12 - 7019*o + 7 + 8 - 8. -7019*o + 19 Collect the terms in -449*c - 1 + 205*c + 167*c + 8. -77*c + 7 Collect the terms in -991 - 3*w - 20*w + 2*w - w - 95. -22*w - 1086 Collect the terms in -25872*v**2 + 13048*v**2 + 12824*v**2 + 24*v**3 - 2*v**3. 22*v**3 Collect the terms in 168*o + 893*o**2 + 316*o**2 - 168*o. 1209*o**2 Collect the terms in 21 - 108669*v + 22 + 5*v**2 - 43 + 108669*v. 5*v**2 Collect the terms in -4 + 31269*s + 31808*s - 63077*s - 4*s**2 + 5*s**2 + 4. s**2 Collect the terms in 100*y**2 - 4061 + 2254 + 1807. 100*y**2 Collect the terms in 3802 + 926*l - 3802 - 1016*l. -90*l Collect the terms in 375*t**2 - 1592 + 1595 - 689*t**2. -314*t**2 + 3 Collect the terms in q**2 + 48*q + 63*q - 2*q**2 - 123*q + 49*q. -q**2 + 37*q Collect the terms in -23136797*x + 11565312*x + 11571483*x. -2*x Collect the terms in 5 + 0 - 183962*i - 5. -183962*i Collect the terms in -3519567*f**3 + 1759745*f**3 + 1759756*f**3. -66*f**3 Collect the terms in -110 - 121 - 7*d - 31 - 125 + 509 - 122. -7*d Collect the terms in 41*t - 68*t + 223*t + 0*t - 16*t**3 - 63*t. -16*t**3 + 133*t Collect the terms in -962*d + 67 - 120 + 413*d - 1659*d + 53. -2208*d Collect the terms in -38*z**2 - 10 - 12 + 27 - 5 + 218*z. -38*z**2 + 218*z Collect the terms in -5879 - j - 3*j + 6878 + 2*j. -2*j + 999 Collect the terms in -27*r - 20*r + 90761*r**2 - 25*r + 72*r. 90761*r**2 Collect the terms in 20506*h + 18839*h - 39379*h. -34*h Collect the terms in 6*q + 9*q - 19*q - 2511 + 10794 + 0*q. -4*q + 8283 Collect the terms in 18 - 251*h - 20 - 7 + 249*h + 85. -2*h + 76 Collect the terms in -m**2 - 3814196358*m + 3814196358*m + 3*m**2 + 0*m**2. 2*m**2 Collect the terms in -4*w + 188 + 2*w + 0*w + 105 - 31. -2*w + 262 Collect the terms in -30*f + 81836272012 - 81836272012. -30*f Collect the terms in -30*n**3 + 33*n**3 - 57302045*n + 57302045*n. 3*n**3 Collect the terms in 6 + 76*y**2 + 72*y**2 + 37*y**2 - 6 - 100*y**2. 85*y**2 Collect the terms in 44*h**2 - 187736014 + 187736014 + 23*h**2. 67*h**2 Collect the terms in 22451 - 986 + 2*j**2 + 2*j - j. 2*j**2 + j + 21465 Collect the terms in -21810 + 2*f + 10710 + 10956. 2*f - 144 Collect the terms in -176*y**3 + 7*y**2 + 0*y - 7*y**2 + 3 - 12*y. -176*y**3 - 12*y + 3 Collect the terms in 16201 + 7425 - 6*m**3 + 9*m**2 + 5*m**3 + 2773. -m**3 + 9*m**2 + 26399 Collect the terms in -1475*p**2 + 2945*p**2 - 81*p + 4*p**3 - 1473*p**2. 4*p**3 - 3*p**2 - 81*p Collect the terms in -680 + 492 - 1124 - 2*z**3 + z**2. -2*z**3 + z**2 - 1312 Collect the terms in 9*i**3 - 392896*i + 196451*i + 196445*i - 17*i**3 + 5*i**3. -3*i**3 Collect the terms in -25*c + 7*c - 4*c - 21*c**2 + 17*c + 5*c + 11*c**2. -10*c**2 Collect the terms in 20*s - 105 - 9*s + 0*s. 11*s - 105 Collect the terms in -484580*h**2 - 3560498*h**2 - 2243303*h**2 + 657465*h**2. -5630916*h**2 Collect the terms in 893355498*q - 1786710991*q + 893355497*q. 4*q Collect the terms in 3812*x**2 + 3819*x**2 + 3817*x**2 - 15404*x**2 + 3944*x**2. -12*x**2 Collect the terms in -1570*r + 3159*r - 1589*r + 941*r**3. 941*r**3 Collect the terms in 26*g + 7*g + 3*g - 58*g + g + 30*g + 10*g. 19*g
{ "pile_set_name": "DM Mathematics" }