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derivative of g**3/3 + 2367*g. Let r(o) = 12159*o. What is r(q(v))? 24318*v Let h(z) = 2*z. Let t(c) = 4*c - 5 + 3*c**2 + 8 + 1. Let j(u) = 0*u + 5 + 2*u**2 - 2*u + 2*u + 5*u. Let m(f) = -4*j(f) + 5*t(f). Determine h(m(p)). 14*p**2 Let m(l) = 32*l - 1. Let x(c) = 17*c - 25. Let k(g) = -986*g + 1445. Let j(u) = 5*k(u) + 289*x(u). What is j(m(v))? -544*v + 17 Let d(h) = h. Let l(k) = 5*k + 195. Let p be l(-28). Let u(f) = 473 + 6*f**2 - 476 + p*f**2. Calculate d(u(c)). 61*c**2 - 3 Let h(s) = -42*s**2. Suppose 3*l + r = 8 + 18, -4*l + 2*r + 48 = 0. Let u(t) = 39 - 22 - l*t - 17. Calculate h(u(d)). -4200*d**2 Let j(t) be the third derivative of -t**4/6 - 16978*t**2 - 2*t. Let c be 92/28 - (-4)/(-14). Let f(h) = -h**2 - 4*h**2 - c*h**2. What is f(j(v))? -128*v**2 Let w(a) = 4*a - 3. Let s(h) = -3*h + 2. Let v(c) = 6*s(c) + 4*w(c). Let u(j) = -14*j - 4*j + 5*j + 4*j + 3*j. Determine v(u(d)). 12*d Let b = -4 - -27. Let y = b + -18. Let p(w) = -w + 3*w - w - y*w. Let v(k) = -5*k. Give v(p(n)). 20*n Let w(k) = 2*k + 3. Let l(p) = 4*p + 4. Let q = -748 - -751. Let y(s) = q*l(s) - 4*w(s). Let i(m) = -46*m. Give y(i(t)). -184*t Let b(f) = -22*f. Let y(k) = -3*k**2 - 45*k + 4. Let t(s) = -3*s**2 - 36*s + 3. Let r(h) = -5*t(h) + 4*y(h). Determine b(r(q)). -66*q**2 - 22 Let p(s) be the second derivative of -7*s**3/6 - 598*s - 4. Let t(q) = -877*q**2. Give p(t(g)). 6139*g**2 Let t(x) = 549 - 48*x**2 - 549. Let j(q) = -26*q. Determine j(t(p)). 1248*p**2 Let u(x) = -57 - 92 + 0*x - 2*x - 69 + 280. Let g(i) = -26*i. What is u(g(t))? 52*t + 62 Let d(q) = 26874111*q**2. Let k(g) = -2*g. Determine d(k(y)). 107496444*y**2 Let u(p) = p**2 + 21*p - 2 - 46*p + 25*p. Let a(s) = -3*s**2 + 7. Let t(q) = -6*a(q) - 21*u(q). Let h(l) = l + 0*l - 3*l. Calculate t(h(f)). -12*f**2 Let p(v) = -v**2. Suppose 0 = -3*q - 8*q - 66. Let z be q/(-2)*((-88)/(-12) + -4). Let d(b) = z*b - 23*b - 14*b. Determine p(d(r)). -729*r**2 Let x(z) = 360537820*z**2. Let h(i) = 2*i. Calculate x(h(g)). 1442151280*g**2 Let q(l) = -88*l**2 + 3*l + 9. Let f(m) = 76*m**2 - 2*m - 6. Let x(p) = -3*f(p) - 2*q(p). Let g(c) = -2*c**2 - 135. Calculate g(x(u)). -5408*u**4 - 135 Let x(v) = -1 + v + 1. Let d(g) be the first derivative of -116*g**3/3 + 31292. Calculate x(d(a)). -116*a**2 Let y(n) = -4*n. Suppose -5*a - 4*c + 16 = 0, 3*a + a + 3*c = 13. Let g(s) = 5*s. Let r(w) = a*y(w) + 3*g(w). Let z(i) = -6*i + 8*i + 6*i. Calculate r(z(k)). -8*k Suppose 238*o - 1138 = 33 + 1923. Let r(v) be the third derivative of o*v**2 + 0 - 5/12*v**4 + 0*v**3 + 0*v. Let w(m) = -3*m. Determine w(r(d)). 30*d Let w(o) = 1772*o**2. Let t(s) = 10*s**2 + 32*s. What is t(w(z))? 31399840*z**4 + 56704*z**2 Let s(x) be the second derivative of 37*x**3/6 + 128*x - 88. Let r(c) be the first derivative of -4*c**3/3 - 1. Calculate s(r(o)). -148*o**2 Let p(n) = -2*n. Let a(d) = -13*d + 941431. Determine p(a(j)). 26*j - 1882862 Let f(c) be the second derivative of -c**4/6 + 607*c. Let y(a) = 4389*a. Determine f(y(i)). -38526642*i**2 Let n(q) be the third derivative of -q**5/30 + q**2. Let m be (-2 - 3)*370/(-75)*9. Let a(t) = -5*t - 438 + 216 + m. Calculate n(a(b)). -50*b**2 Let h = -193 + 188. Let b(j) = -19*j. Let x(l) = -16*l. Let c(o) = h*b(o) + 6*x(o). Let s(g) = 142*g. What is s(c(a))? -142*a Let w(v) = -325*v + 275*v + 1 - 1. Let j(g) = -30*g**2 - 16*g + 8. Let y(u) = 19*u**2 + 10*u - 5. Let t(q) = 5*j(q) + 8*y(q). What is t(w(h))? 5000*h**2 Let l(h) = -2*h**2 - 13. Let o(m) = -m**2 - 6. Let c be -12 - -15 - 4*1. Let w be c + 1 - (6 - 0). Let a(z) = w*l(z) + 13*o(z). Let i(n) = -4*n. Give i(a(r)). 4*r**2 Suppose 15 = 5*p + c, -9 = 4*p - 4*c + 3. Let u(r) = -143401 + p*r + 143401. Let y(n) be the first derivative of 5*n**3/3 - 2. Calculate y(u(t)). 20*t**2 Let s = 4317 - 4315. Let j(g) be the second derivative of 0 + 4*g + 0*g**3 + 0*g**s - 1/3*g**4. Let l(d) = 3*d**2. Give j(l(m)). -36*m**4 Let c(h) be the first derivative of 2*h**3/3 - 1. Let k(s) = 120 - 189 - 37 - 18*s + 106. What is c(k(d))? 648*d**2 Let j(q) = q**2. Suppose p = 6*p - 5*y - 12345, -3*p + 7407 = -2*y. Let r(t) = 140*t + 2469 - p. What is r(j(u))? 140*u**2 Let t(r) = -21*r. Let f(l) = -2*l**2 - 154*l - 585. What is f(t(a))? -882*a**2 + 3234*a - 585 Let j(i) = -34660*i + 4. Let f(n) = -21*n - 2. Determine j(f(v)). 727860*v + 69324 Let j(r) = -2*r. Let y(p) = 60993*p**2 + 4361. Calculate j(y(b)). -121986*b**2 - 8722 Let f(h) = -3*h**2. Let i(p) be the third derivative of -p**6/360 + 34*p**3 - 152*p**2. Let s(j) be the first derivative of i(j). What is f(s(t))? -3*t**4 Let w(t) = 2*t. Let c(n) = -123684898*n. Determine c(w(v)). -247369796*v Let q = -1 + 6. Let d(s) = s**2 + 5*s + 2. Let r be d(0). Let f(k) = -3*k**2 + q*k**2 + 3*k**r. Let z(g) = -5*g. Calculate z(f(b)). -25*b**2 Let g(w) = 2*w. Suppose 5*n - 348 = -4*a, -3*n + 5*a + 210 = 8*a. Suppose -18*p + p + n = 0. Let r(b) = 45*b + 49*b - 94*b + p*b**2. Calculate r(g(i)). 16*i**2 Let i(r) = 3*r - 516 + 257 + 259. Let a(q) be the third derivative of 13*q**4/3 + 3*q**2 - 9*q. Calculate i(a(j)). 312*j Let s(m) = -29*m**2. Let p(b) = 18*b**2 - 41*b + 48. Let a(k) = 11*k**2 - 28*k + 30. Let d(g) = 8*a(g) - 5*p(g). Give d(s(t)). -1682*t**4 + 551*t**2 Let l(h) = -3*h**2. Let p = 205 + 89. Let y(s) = s - p*s**2 - s + 276*s**2. What is y(l(n))? -162*n**4 Let t(o) be the second derivative of -259*o**3/6 + 10408*o. Let h(y) = -y**2. Determine t(h(g)). 259*g**2 Let m(r) = -r + 10*r + 12*r. Let x(i) = -10*i + 86. Let y be x(4). Let q(s) = -49*s**2 - y*s**2 + 134*s**2 - 40*s**2. Determine q(m(p)). -441*p**2 Let y(r) = -377*r. Let w(v) = 3096*v - 106. Give w(y(g)). -1167192*g - 106 Let n(b) be the second derivative of 14*b**4 + b**3/6 + 4*b. Let h(p) = 7*p**2 - 45*p. Let g(l) = -l**2 + 6*l. Let v(y) = 15*g(y) + 2*h(y). What is n(v(a))? 168*a**4 - a**2 Let u(a) be the second derivative of -1/6*a**4 + 0*a**2 + 0*a**3 - a + 0. Let y(z) = -266*z**2 - 405*z**2 - 397*z**2 + 1051*z**2. Give y(u(t)). -68*t**4 Let s(m) = -11443893*m. Let u(g) = -32*g. Give u(s(y)). 366204576*y Let s(i) = 561*i - 5. Let q(j) = 1665*j - 14. Let w(y) = -4*q(y) + 11*s(y). Let x(a) = -4*a. What is w(x(v))? 1956*v + 1 Let w(i) = -17*i + 6. Let x(n) = 37*n - 13. Let d = 133 - 120. Let s(f) = d*w(f) + 6*x(f). Let z(y) = 7*y**2. Calculate s(z(g)). 7*g**2 Let f(s) = 5*s**2. Suppose 3*t = -5*d + 5, -410 = 3*d + t - 417. Let l(w) be the third derivative of 0*w + 34*w**2 + 0*w**3 + 1/24*w**d + 0. Give l(f(r)). 5*r**2 Let q(z) = -2*z**2 + 5358*z. Let m(i) = -7*i + 37. Determine q(m(c)). -98*c**2 - 36470*c + 195508 Let h(j) = -8*j. Let q(f) be the second derivative of f**3/6 + 2*f + 2. Let u(m) = 3*h(m) + 15*q(m). Let c(t) = -11*t. Determine c(u(g)). 99*g Let r(s) = -s. Let g be 0/(1 - 3) + (82 - -11). Let d(y) = -2*y**2 + g - 49 - 43. Determine r(d(c)). 2*c**2 - 1 Let k(s) = -s**3 + 10*s**2 - 4*s - 8. Suppose -8 + 0 = 4*z, -8 = -2*m - 5*z. Let l be k(m). Let q(x) = 37 - l - x. Let i(n) = -2*n**2 + 4*n. Determine q(i(p)). 2*p**2 - 4*p Let n(j) = -6 - 693*j**2 + 49 - 43. Let v(r) = 6*r**2. Calculate n(v(t)). -24948*t**4 Let w(j) = 2*j - 13515. Let z(p) = -179*p. Give w(z(s)). -358*s - 13515 Let u(q) = 10*q + 13 + 10*q**2 - 2*q**3 + 6*q**3 - 3*q**3 - 22*q**2. Let r be u(11). Let w(b) = -3*b + 2*b + r*b - 4*b. Let j(h) = -4*h. What is w(j(a))? 12*a Let v(o) = -120*o. Let t be ((-16)/(-12))/(5/(-45)*-12). Let d(j) = 1 - 2 - 42*j**2 + t + 38*j**2. Determine d(v(a)). -57600*a**2 Let i(n) be the first derivative of n**3/3 + 2. Let x(b) = 300686641 - 300686641 - 826*b. Give i(x(j)). 682276*j**2 Suppose -m = 2*c - 663, 2*m + 620 = 3*c - 364. Suppose 0*t = 15*t - c. Let o(k) = -22 + t - 17*k. Let b(y) = 2*y**2. Calculate b(o(q)). 578*q**2 Let u(t) = 141*t**2 + 2*t. Let b(x) = 5*x + 6. Let i(a) = 6*a - 657 - 659 + 1324. Let k(w) = -4*b(w) + 3*i(w). Calculate k(u(h)). -282*h**2 - 4*h Let g(x) = 3*x**2 - 39*x + 2. Let n be g(13). Let d(u) = -6 - 14*u - n + 8. Let m(t) = 4*t - 4*t + 2*t**2. Calculate m(d(a)). 392*a**2 Let w(p) = 781808*p - 390909*p - 390902*p. Let v(b) be the third derivative of 13*b**5/6 + 2*b**2. What is w(v(c))? -390*c**2 Let k(v) = -29*v. Let j(y) = -2*y**2 - y + 1358112. Give j(k(q)). -1682*q**2 + 29*q + 1358112 Let q(x) = -2*x. Let m be (8/24)/(2/24).
{ "pile_set_name": "DM Mathematics" }
27155 by -5085. 143 What is 322623 divided by -569? -567 What is -28035 divided by 9? -3115 7874 divided by -6 -3937/3 -110739 divided by -1 110739 -355806 divided by -99 3594 395316 divided by 948 417 Divide 26584 by 3323. 8 41496 divided by -228 -182 Calculate -8809 divided by -30. 8809/30 2487785 divided by 2 2487785/2 What is -161 divided by 992? -161/992 -1290 divided by 4 -645/2 What is 61705 divided by -3? -61705/3 3 divided by -14907 -1/4969 Divide -1 by 7797. -1/7797 -288914 divided by 3 -288914/3 Calculate 13540376 divided by -2. -6770188 13 divided by -44074 -13/44074 3 divided by -15068 -3/15068 3 divided by 457836 1/152612 -1443464 divided by -15356 94 -569875 divided by -113975 5 Divide 0 by 267030. 0 Divide 13302 by 13302. 1 Divide -1166 by -137. 1166/137 Divide -9 by -10322. 9/10322 What is 2941504 divided by 19? 154816 Divide 11184 by -3. -3728 What is -85501 divided by 5? -85501/5 What is 1 divided by -61431? -1/61431 What is 60147 divided by 489? 123 What is -2 divided by 3724? -1/1862 What is -3598 divided by -218? 1799/109 Calculate -213 divided by -190. 213/190 Calculate 1508429 divided by -116033. -13 2 divided by -3468 -1/1734 What is 168204 divided by 107? 1572 What is 10035 divided by 3? 3345 Calculate 254 divided by 139. 254/139 Divide 1249944 by 1. 1249944 -406752 divided by -8 50844 What is -8 divided by 3867? -8/3867 Calculate -10320 divided by 43. -240 -4 divided by -30434 2/15217 Calculate -285245 divided by 4. -285245/4 What is 3344 divided by -842? -1672/421 Calculate -182 divided by -323. 182/323 Divide -8959485 by 1791897. -5 What is -12 divided by 1054? -6/527 What is -2 divided by 11644? -1/5822 What is -28 divided by 31059? -4/4437 -5160 divided by -60 86 319815 divided by -45 -7107 What is -55348 divided by -13837? 4 What is -481 divided by 1524? -481/1524 What is -533117 divided by 1? -533117 Calculate 1534856 divided by 4. 383714 -132888 divided by -904 147 Divide -909 by 18. -101/2 What is 2425442 divided by 1? 2425442 Calculate 31017 divided by -6. -10339/2 Divide 14694 by 14694. 1 -1788 divided by 486 -298/81 Calculate 36 divided by 221. 36/221 Divide -300985 by -17705. 17 Divide 15602 by -7801. -2 What is -290408 divided by 1? -290408 Calculate -783369 divided by 3. -261123 Divide 14342 by 101. 142 Divide 642519 by 4041. 159 Divide 124497 by 4611. 27 2095668 divided by 2 1047834 4851 divided by 24 1617/8 Calculate 1298 divided by -550. -59/25 399507 divided by 133169 3 Divide 115261 by -10. -115261/10 -18338 divided by -18338 1 What is 3284232 divided by 273686? 12 Divide -387814 by 387814. -1 Calculate -134 divided by -224. 67/112 What is -6445 divided by -136? 6445/136 Divide -319 by -1782. 29/162 10660 divided by -20 -533 What is -379 divided by -8? 379/8 What is -7668 divided by -11? 7668/11 What is 3 divided by -47916? -1/15972 Divide -96135 by 18. -32045/6 What is -299803 divided by 1? -299803 Calculate -417 divided by 4049. -417/4049 What is 10952778 divided by -6? -1825463 Divide -2555 by 275. -511/55 23280 divided by 4656 5 Divide 36938 by 11. 3358 Divide 5 by -1279647. -5/1279647 What is -1483368 divided by -185421? 8 -1971706 divided by -4717 418 36 divided by -12667 -36/12667 -55448 divided by -232 239 -304292 divided by 2396 -127 What is 3 divided by 30581? 3/30581 Divide 197 by 8. 197/8 What is -10 divided by 23163? -10/23163 Calculate -2177 divided by 50. -2177/50 Calculate 7016 divided by -26. -3508/13 What is 505 divided by 57? 505/57 -361584 divided by -22599 16 Divide -23420 by -5. 4684 Divide 239568 by 138. 1736 Divide -1 by -22756. 1/22756 -3810 divided by 10 -381 -121327 divided by -2 121327/2 Calculate 127248 divided by -176. -723 -63915 divided by -6 21305/2 What is 49944 divided by 4? 12486 Calculate 113400 divided by 300. 378 Calculate 88046 divided by -2317. -38 What is 1692672 divided by -29696? -57 Calculate -7061 divided by 5. -7061/5 Calculate -6296 divided by 1. -6296 -1462 divided by 5 -1462/5 39760 divided by -112 -355 Calculate -203936 divided by 2. -101968 -1375019 divided by 5 -1375019/5 Calculate -3106 divided by 10. -1553/5 Calculate 144950 divided by 13. 11150 Calculate 1698 divided by 536. 849/268 Calculate -8394 divided by 6. -1399 What is 1429 divided by -63? -1429/63 Divide 1113305 by 58595. 19 Calculate 721420 divided by -103060. -7 Divide -2 by -11133. 2/11133 Divide 4 by 381986. 2/190993 Divide 149328 by 5. 149328/5 Calculate -84364 divided by -262. 322 322460 divided by 5 64492 169613 divided by 1501 113 Divide 53 by -42. -53/42 What is -694 divided by -47? 694/47 6 divided by 5330 3/2665 What is -57195 divided by 3? -19065 What is 83044 divided by 8? 20761/2 Calculate -1005 divided by 215. -201/43 What is 3069336 divided by 6? 511556 Divide -320160 by -6670. 48 Divide 1049406 by 1. 1049406 What is -12464 divided by 1558? -8 Divide -685240 by 2315. -296 4 divided by 60088 1/15022 What is 352500 divided by 117500? 3 152607 divided by -903 -169 Divide -4 by -94536. 1/23634 Calculate 782 divided by 1323. 782/1323 2 divided by -30953 -2/30953 -4003042 divided by -2 2001521 What is -47390 divided by -14? 3385 3 divided by 575969 3/575969 5 divided by 76722 5/76722 What is 10 divided by 1907? 10/1907 Divide 10 by 1768. 5/884 Calculate -77503 divided by -799. 97 What is -47838 divided by 357? -134 What is -283 divided by 196? -283/196 -2 divided by 21578 -1/10789 Divide -9845316 by 6. -1640886 Divide -18 by 32. -9/16 Divide -3 by 34623. -1/11541 Divide 571 by 423. 571/423 What is 449160 divided by 89832? 5 Calculate -14640 divided by 24. -610 32886 divided by -21 -1566 Calculate 159994 divided by -1. -159994 -4928144 divided by -817 6032 -22358 divided by 33 -22358/33 Calculate 60835 divided by 115. 529 -75 divided by 255 -5/17 0 divided by 207621 0 -296901 divided by 11 -26991 Divide -46395 by 9. -5155 57 divided by 4325 57/4325 -5601939 divided by -800277 7 Calculate 314580 divided by 11. 314580/11 47232 divided by -7872 -6 Calculate 100902 divided by -16817. -6 What is 1214508 divided by 5? 1214508/5 Divide 1732 by 45. 1732/45 What is 3104760 divided by -776190? -4 Divide 3732 by 4. 933 94 divided by -451 -94/451 Divide -4 by -17848. 1/4462 35 divided by -586 -35/586 What is 1330 divided by 51? 1330/51 -7 divided by -57948 7/57948 -1981866 divided by 660622 -3 Divide 400 by 117. 400/117 Calculate 872900 divided by -140. -6235 Divide -5048044 by -6. 2524022/3 Calculate -265145 divided by -13955. 19 Divide -66552 by 1416. -47 8030 divided by -110 -73 128829 divided by -42943 -3 Divide -1921 by 12. -1921/12 What is 27064 divided by -6766? -4 -18 divided by 6732 -1/374 Calculate -23805 divided by -23. 1035 Calculate -1019668 divided by 19609. -52 What is 5 divided by 40650? 1/8130 What is 97 divided by 7935? 97/7935 What is 13 divided by -5004? -13/5004 Calculate 124 divided by 4449. 124/4449 Divide -2420 by -1142. 1210/571 Divide -5 by 10177. -5/10177 Divide -1 by -83002. 1/83002 5560848 divided by -6 -926808 3357375 divided by -35 -95925 Divide 318719 by 67. 4757 Calculate -111405 divided by -1061. 105 What is 41656 divided by 164? 254 Divide -15700 by 5. -3140 Calculate -100166 divided by -1727. 58 -3548 divided by -887 4 What is -327 divided by 380? -327/380 Calculate 11938 divided by 254. 47 Divide -2183810 by 2. -1091905 Divide -338217 by -338217. 1 Divide -14 by 28598. -7/14299 Calculate -5 divided by 34372. -5/34372 -137940 divided by -6 22990 Calculate -2450370 divided by -3965. 618 What is -5 divided by -55052? 5/55052 Divide -18969 by 2. -18969/2 Divide -34 by -2804. 17/1402 7335 divided by 2445 3 What is -2 divided by 85361? -2/85361 Divide -4636 by 19. -244 Calculate 588067 divided by -4. -588067/4 What is -629200 divided by 7150? -88 -260 divided by 51 -260/51 What is 2 divided by 4635? 2/4635 Calculate 275482 divided by -275482. -1 What is 5 divided by -8501? -5/8501 Divide 2467 by -519. -2467/519 Divide -4081371 by -3. 1360457 Calculate -204 divided by -102. 2 -1367 divided by -519 1367/519 Calculate 237823 divided by -6. -237823/6 Divide -520674 by -7546. 69 Calculate -26118714 divided by 6. -4353119 Divide 671451 by 1. 671451 Divide -14058 by 66. -213 Divide 393288 by 14046. 28 What is 54 divided by 825? 18/275 Divide -2178337 by -31119
{ "pile_set_name": "DM Mathematics" }
d by 48. 17 What is the remainder when 197428 is divided by 16451? 16 What is the remainder when 520398 is divided by 415? 403 Calculate the remainder when 3590 is divided by 275. 15 Calculate the remainder when 390 is divided by 115. 45 What is the remainder when 1929 is divided by 184? 89 What is the remainder when 25314 is divided by 62? 18 Calculate the remainder when 14486 is divided by 4797. 95 Calculate the remainder when 2089 is divided by 413. 24 What is the remainder when 803266 is divided by 18? 16 Calculate the remainder when 24318 is divided by 380. 378 What is the remainder when 2600 is divided by 1004? 592 What is the remainder when 7581 is divided by 96? 93 Calculate the remainder when 64903 is divided by 391. 388 Calculate the remainder when 127894 is divided by 646. 632 What is the remainder when 652 is divided by 205? 37 Calculate the remainder when 11725 is divided by 3831. 232 Calculate the remainder when 60073 is divided by 14878. 561 Calculate the remainder when 50815 is divided by 33. 28 Calculate the remainder when 69482 is divided by 86. 80 What is the remainder when 35878 is divided by 5123? 17 What is the remainder when 179967 is divided by 35987? 32 What is the remainder when 5237 is divided by 8? 5 What is the remainder when 3265527 is divided by 1011? 1008 What is the remainder when 10622 is divided by 1427? 633 What is the remainder when 346687 is divided by 370? 367 What is the remainder when 29188 is divided by 365? 353 Calculate the remainder when 1194477 is divided by 228. 213 What is the remainder when 904687 is divided by 657? 655 Calculate the remainder when 11616 is divided by 1925. 66 What is the remainder when 20373 is divided by 523? 499 Calculate the remainder when 3199 is divided by 20. 19 What is the remainder when 2393 is divided by 272? 217 What is the remainder when 339566 is divided by 17? 8 What is the remainder when 5238 is divided by 155? 123 What is the remainder when 80154 is divided by 11? 8 Calculate the remainder when 51854 is divided by 51851. 3 What is the remainder when 4158 is divided by 89? 64 What is the remainder when 12210 is divided by 25? 10 Calculate the remainder when 148355 is divided by 468. 467 Calculate the remainder when 226882 is divided by 926. 12 What is the remainder when 359 is divided by 4? 3 What is the remainder when 58856 is divided by 54? 50 Calculate the remainder when 396258 is divided by 198124. 10 Calculate the remainder when 33752 is divided by 15. 2 Calculate the remainder when 1158969 is divided by 266. 7 What is the remainder when 690 is divided by 248? 194 Calculate the remainder when 8331720 is divided by 9. 6 Calculate the remainder when 10250 is divided by 2049. 5 What is the remainder when 583721 is divided by 291845? 31 Calculate the remainder when 215494 is divided by 655. 654 What is the remainder when 12012 is divided by 2399? 17 What is the remainder when 27667 is divided by 420? 367 Calculate the remainder when 201892 is divided by 150. 142 What is the remainder when 18182 is divided by 915? 797 Calculate the remainder when 206914 is divided by 13. 6 Calculate the remainder when 18586 is divided by 18565. 21 Calculate the remainder when 4106 is divided by 813. 41 Calculate the remainder when 4263 is divided by 299. 77 Calculate the remainder when 435330 is divided by 151. 148 Calculate the remainder when 31037 is divided by 74. 31 Calculate the remainder when 2650 is divided by 1263. 124 What is the remainder when 14593 is divided by 292? 285 What is the remainder when 28171 is divided by 9308? 247 Calculate the remainder when 521191 is divided by 260591. 9 What is the remainder when 641 is divided by 266? 109 Calculate the remainder when 9749 is divided by 25. 24 Calculate the remainder when 779327 is divided by 738. 737 What is the remainder when 6854 is divided by 45? 14 What is the remainder when 2999 is divided by 21? 17 What is the remainder when 4258 is divided by 1416? 10 Calculate the remainder when 41532 is divided by 21. 15 What is the remainder when 1096 is divided by 277? 265 Calculate the remainder when 6533 is divided by 87. 8 What is the remainder when 8536 is divided by 266? 24 Calculate the remainder when 15165 is divided by 316. 313 Calculate the remainder when 686706 is divided by 8. 2 Calculate the remainder when 3613 is divided by 1143. 184 What is the remainder when 1337 is divided by 254? 67 What is the remainder when 3061 is divided by 790? 691 Calculate the remainder when 30773 is divided by 57. 50 Calculate the remainder when 7704 is divided by 2468. 300 Calculate the remainder when 937 is divided by 50. 37 Calculate the remainder when 6138 is divided by 2009. 111 Calculate the remainder when 3062 is divided by 640. 502 What is the remainder when 24603 is divided by 61? 20 Calculate the remainder when 310593 is divided by 51763. 15 Calculate the remainder when 3287 is divided by 364. 11 What is the remainder when 86911 is divided by 28834? 409 Calculate the remainder when 60027 is divided by 1000. 27 Calculate the remainder when 5740 is divided by 2870. 0 Calculate the remainder when 315143 is divided by 349. 345 What is the remainder when 7315119 is divided by 610? 609 What is the remainder when 383124 is divided by 313? 12 What is the remainder when 12229 is divided by 847? 371 Calculate the remainder when 17522 is divided by 9. 8 Calculate the remainder when 2031 is divided by 363. 216 What is the remainder when 80473 is divided by 44? 41 What is the remainder when 25045 is divided by 448? 405 Calculate the remainder when 23313 is divided by 686. 675 Calculate the remainder when 10983 is divided by 13. 11 What is the remainder when 13329 is divided by 618? 351 What is the remainder when 1339524 is divided by 227? 224 What is the remainder when 20392 is divided by 80? 72 What is the remainder when 10155 is divided by 3315? 210 What is the remainder when 35193 is divided by 618? 585 Calculate the remainder when 293783 is divided by 1130. 1113 What is the remainder when 13078 is divided by 49? 44 What is the remainder when 28444 is divided by 1422? 4 Calculate the remainder when 89800 is divided by 29933. 1 What is the remainder when 12943 is divided by 254? 243 Calculate the remainder when 1959 is divided by 1927. 32 What is the remainder when 62966 is divided by 13? 7 Calculate the remainder when 186 is divided by 42. 18 What is the remainder when 475405 is divided by 11? 7 What is the remainder when 987 is divided by 134? 49 Calculate the remainder when 326 is divided by 76. 22 Calculate the remainder when 22325 is divided by 366. 365 Calculate the remainder when 11198 is divided by 140. 138 What is the remainder when 2134 is divided by 76? 6 Calculate the remainder when 17673 is divided by 57. 3 Calculate the remainder when 181395 is divided by 253. 247 What is the remainder when 482923 is divided by 44? 23 What is the remainder when 113358 is divided by 16193? 7 Calculate the remainder when 6807 is divided by 106. 23 What is the remainder when 16971 is divided by 741? 669 Calculate the remainder when 5386 is divided by 12. 10 What is the remainder when 336515 is divided by 3? 2 What is the remainder when 18937 is divided by 128? 121 Calculate the remainder when 8358 is divided by 17. 11 What is the remainder when 3876 is divided by 1919? 38 Calculate the remainder when 56795 is divided by 80. 75 Calculate the remainder when 11061 is divided by 88. 61 What is the remainder when 13552 is divided by 1625? 552 What is the remainder when 53671 is divided by 3181? 2775 What is the remainder when 1539746 is divided by 254? 252 What is the remainder when 67195 is divided by 11? 7 Calculate the remainder when 1627418 is divided by 43984. 10 What is the remainder when 292242 is divided by 18? 12 What is the remainder when 4420 is divided by 49? 10 What is the remainder when 159 is divided by 63? 33 What is the remainder when 2184709 is divided by 177? 175 What is the remainder when 841 is divided by 64? 9 What is the remainder when 1030187 is divided by 70? 67 What is the remainder when 2023 is divided by 954? 115 What is the remainder when 1500 is divided by 80? 60 What is the remainder when 27743 is divided by 39
{ "pile_set_name": "DM Mathematics" }
2*q + 3. Let z = 1432 + -1433. Calculate t(z). 63 Let j(y) = 26*y + 18*y + 133 - 156 - 64*y. What is j(3)? -83 Suppose 22 = 4*y - 6*u + 7*u, -3*y + 13 = -u. Let h(a) = -2 + 4 + 1 - 7*a. Determine h(y). -32 Let z = -196 + 197. Let j(a) = -a + 5. Let n(y) = -11*y + 14. Let t(g) = -2*j(g) + n(g). Determine t(z). -5 Suppose -117 + 7 = -11*m. Suppose 3*r = 8*r - m. Let x(f) = 9*f**2 + 2*f - 1 - f - 8*f**r. Give x(-3). 5 Suppose u - 5*b + 11 = -2, 0 = 4*u + 4*b - 68. Let t(z) = -z - 5*z**2 - u*z**2 + 0*z. Suppose 4*f - 16*m - 124 = 0, 5*m = 2*f + m - 30. What is t(f)? -16 Let p(o) be the third derivative of -o**8/20160 - o**7/1008 - o**6/180 - 11*o**5/60 - o**3/6 + o**2 - 24. Let z(j) be the third derivative of p(j). Give z(-3). 2 Let f(r) = r**3 + r**2 + r - 26. Suppose o + 4*t - 140 = -t, 4*o + 4*t = 576. Let y be 6/(-10) - (-87)/o. Give f(y). -26 Suppose 2*n = 3*b + 1, -2*b - 2*b = -5*n - 8. Let o(j) = 2*j + 7. Let s be o(n). Let r(a) = 7 - 12 + 1 + 3 - a. Give r(s). 0 Let x = 101 - 96. Suppose -x*n = 23 + 12. Let d(a) = 3 - a**3 + 2*a**2 - 2 + 8*a - 8*a**2. Calculate d(n). -6 Suppose 14*n + 14*n = 2604. Suppose 0 = z + 98 - n. Let v(b) = -2*b - 1. Determine v(z). 9 Let l(v) = -3*v**2 - 2*v + 3. Let g be 4/((192/9)/(-16)). Determine l(g). -18 Let z(m) = -24*m + 12044 - 4016 - 21*m**2 - 4012 - 4012 + m**3. What is z(22)? -40 Let n(y) = -11*y**2 + 13*y - 27. Let w(g) = -14*g**2 + 14*g - 27. Let v(t) = 5*n(t) - 4*w(t). Determine v(-11). -5 Let o = 32584 + -32599. Let l(u) = 13*u + 179. Calculate l(o). -16 Suppose -i = 1 + 2. Let z(h) = 7*h**3 - h**2 - 9*h. Let d(v) = 4*v**2 - 6*v - 4*v**2 + 4*v**3 + v. Let b(r) = i*z(r) + 5*d(r). Determine b(3). 6 Let z(k) = k**2 + 6*k - 8. Let h be 28/5*285/38. Suppose 0 = -6*d - 0*d - h. Calculate z(d). -1 Let x(l) = 5*l**2 + 3*l + 1. Let d(g) = -2*g**2 - g. Let f(v) = 2*d(v) + x(v). Suppose n - 5 = 1. Suppose 4 - n = -o. Determine f(o). 7 Let h(l) be the second derivative of l**4/12 + 7*l**3/2 + 12*l**2 + 24*l. Let t be h(-17). Let z = t - -38. Let g(v) = -v**2 - 6*v + 5. Give g(z). 5 Let s(f) be the third derivative of f**6/120 + f**5/15 - f**4/4 - f**3/6 - f**2. Suppose 33*k - 30*k = 12, -5*m + 5*k = -6475. Let j = m - 1304. What is s(j)? 4 Let f(n) = 7*n**3 + 41*n**2 - 21*n - 48. Let t(g) = -3*g**3 - 20*g**2 + 11*g + 23. Let b(q) = 4*f(q) + 9*t(q). Determine b(15). 15 Let m be 1*5 - (-4 - -5). Let y(a) = 3*a**3 - 3*a**3 + m*a**3 + 4*a + 3*a**2 - 2*a**3 + 2. What is y(-2)? -10 Let l(z) = z - z**3 - 102*z**2 - 9 + 35*z**2 + 2*z**3 + 60*z**2 + 0*z. Suppose -2*j - 4 = -2*o, o = -3*o + 2*j + 18. Calculate l(o). -2 Let a(w) be the second derivative of -2*w**4/3 - 2*w**2 + 133*w + 19. Calculate a(-4). -132 Let a(k) = -k**2 - 4*k. Suppose 0 = 57*o + 31 + 83. What is a(o)? 4 Let p(y) = 50*y + 233. Let q(m) = -3*m + 16. Let j(b) = p(b) + 6*q(b). Calculate j(-10). 9 Let u be (5/(-25))/((-3)/15). Let s(t) be the first derivative of -t**4 + 30. Give s(u). -4 Let r(q) = q**2 + 391*q + 2703. Let x be r(-7). Let w(f) = -4*f + 49. Calculate w(x). -11 Let l = 1380 + -1380. Let c(j) = j - 2*j - 17 + 0*j - 2. What is c(l)? -19 Let k(q) = q**3 - 5*q**2 - q - 8. Suppose -s + 4*c + 46 = 38, -2*s - 5*c + 3 = 0. What is k(s)? -28 Suppose -5*w = -3*d - 198, -2*d + 26 + 167 = 5*w. Let o = w + -36. Suppose -22 = -o*l - 40. Let s(r) = -r**3 - 5*r**2 + 6*r + 6. Give s(l). 6 Let l(z) be the second derivative of 0 - 1/3*z**3 + 0*z**2 + 1/12*z**4 + 95*z. Give l(0). 0 Let h = 1798 - 1790. Let f(i) = 6*i - 62. Determine f(h). -14 Let b(y) = y**3 - 10*y**2 + y - 4. Suppose f + 3*f = 2*a - 180, 4*a = -f + 396. Let i be a/10 - ((-17)/85)/1. Determine b(i). 6 Let a(p) = -1243*p + 37152 - 29*p**2 - 37151 + 1239*p. Determine a(1). -32 Suppose -2*h + 3 = -7. Let v(o) be the first derivative of -5*o**2/2 - 7*o + 66. Let d(l) = 2*l. Let a(y) = 3*d(y) + v(y). Give a(h). -2 Let v = 2 + 0. Let y be 111/259 + 32/7. Let i(r) = 2 + 5*r + 10*r - 2*r**3 + 2*r**2 - 21*r + y*r. Calculate i(v). -8 Suppose 369*x - 365*x = 0. Suppose 0 = 2*r - x*b + 2*b + 4, -2*r + 5*b = 25. Let c(n) = n**3 + 3*n**2 - 6*n - 4. What is c(r)? -24 Let a(g) be the second derivative of 0 + 119*g - 1/6*g**3 - 1/20*g**5 - g**4 - 8*g**2. Determine a(-12). -4 Let p(i) = 12*i + 1 - 104*i + 33*i + 32*i. Suppose -4*v + 4 = -0*v. What is p(v)? -26 Let f(j) = 2*j**2 + 3*j - 11. Let o be 0 - -3*(2/(-6) + -2). What is f(o)? 66 Suppose 0 = 2*g + 5*a - 54, 46*g - 4*a = 42*g + 24. Let r(y) = y - 10. Calculate r(g). 2 Let n(m) = 3*m + 1. Suppose -848 + 862 = -k. Let r(j) = 2*j**3 + 25*j**2 - 42*j + 3. Let y be r(k). Determine n(y). 10 Let x(y) be the second derivative of 0 + 7/6*y**3 + y - 1/2*y**2. Let r be (-171)/(-36) - 5 - 20/(-16). Give x(r). 6 Let i(m) = m**2 + m - 6. Let r = 4930 - 4932. Calculate i(r). -4 Suppose 0 = -q + 5*d - 48, 27 = -3*q + 2*d - 39. Let c(i) = i**3 + 17*i**2 - 18*i - 13. Determine c(q). -13 Let k(p) = p**3 - 6*p**2 - 33*p + 44. Let d = 9099 - 9090. Give k(d). -10 Let c(s) = s**2 - 9*s - 8. Suppose -148*q + 2394 = -141*q. Let f = -332 + q. What is c(f)? 2 Let y(u) = -u + 21*u - 13*u - 2 - 9*u**2. Let g(z) = -20*z**2 + 16*z - 4. Let k(n) = -4*g(n) + 9*y(n). Calculate k(-2). -4 Let d(v) = v**3 - 7*v**2 + 5*v + 5. Suppose 36*t + 1154 = -13*t - 463. Let l be (-157)/(-4) - 1/4. Let q = l + t. Give d(q). -1 Let f = 64 + -57. Let i(u) be the first derivative of u**2 - u - 129. What is i(f)? 13 Suppose 4*v - 26 = -2*t + v, 5*v = 4*t - 8. Let c(j) = 0*j - 14*j**2 - 439 + 435 + 2*j**3 + j. What is c(t)? 3 Suppose -46*l + 10*l - 2700 = 0. Let w be ((-44)/(-33))/(-1 - 95/l). Let a(g) = g**3 - 5*g**2 - g - 6. Give a(w). -11 Let x be (-1)/3*(12 - 9)*-1. Let o be 56/14 - 0/x. Let r(h) = 2*h**2 - 5*h - 4. Give r(o). 8 Let t(n) = n**3 - 10*n**2 - 10*n - 11. Suppose 46*x + 39*x + 140*x = 2475. Calculate t(x). 0 Let a(u) be the first derivative of -u**3/6 + u**2 + 60*u - 101. Let l(f) be the first derivative of a(f). What is l(-5)? 7 Let q(l) be the second derivative of -l**4/4 + l**3/3 - 3*l**2/2 - 4416*l. Calculate q(2). -11 Let z be (-1)/1 - (1 - (-4 + 4)). Let k(b) = 7*b + 11*b + 4 - 3*b + 0 - 1. Give k(z). -27 Let s(g) = -2*g**3 - 14*g**2 + 15*g - 17. Let m(v) = v**2 - 8*v + 4. Let z be m(2). Calculate s(z). -9 Let w(z) = 5*z**2 + 21. Let a(u) = -9*u**2 - 42. Let n(k) = -6*a(k) - 11*w(k). Let p be n(-4). Let i(s) = -2*s + 3. What is i(p)? -7 Let u(p) = -p**3 + 44*p**2 + 47*p - 95. Let h = 5547 - 5502. What is u(h)? -5 Let a(w) = 9*w**2 - 18*w + 5. Let v(d) = 19*d**2 - 36*d + 9. Let k(t) = -5*a(t) + 2*v(t). Let g(f) = -f**2 + f - 1. Let r(b) = -6*g(b) + k(b). Determine r(12). -1 Let i(t) be the first derivative of -t**2/2 + t + 837. Determine i(-7). 8 Let u(d) = -4*d - 141. Let a(i) = -i**3 + 49*i**2 - 54*i + 250. Let b be a(48). What is u(b)? 11 Let o = -19421 + 19425. Let r(y) be the first derivative of -y**3 + 5*y**2/2 + y + 1. Let q(l) be the first derivative of r(l). What is q(o)? -19 Let q(d) = d**3 - 4*d**2 - 4*d - 6. Suppose -90*j - 4 = -91*j. Suppose -3*p + g + 35 = 0, -g = p + g. Suppose j = -p*y + 54. Determine q(y). -1 Let r(j) be the second derivative of -17/12*j**4 - 12*j**2 - 1/20*j**5 - 17/6*j**3 + 152*j + 0. Calculate r(-16). -8 Let v be 940/8 - 12/(-8). Let y(b) = 1 - v*b + 239*b - 122*b. Calculate y(-2). 5 Let n(d) = -d**3 - 10*d**2 - d - 3. Let i be n(-10). Let w be (-1)/(2 - 21/9). Let k(u) = w + 5 - i + 2*u. Determine k(-2). -3 Let j(n) = n**2 + 7*n - 24. Let q = -2098 + 2101. Give j(q). 6 Let c(s) be the second derivative of -11*s**4/12 + 19*s**3/3 + 33*s**2/2 - 6*s. Let u(o) = -4*o**2 + 13*o + 11. Let a(v) = 3*c(v) - 8*u(v). Give a(11). 0 Suppose 2*h = -o - 33, 4*h - 5*o + 120 = -h. Let q(c) = c**2 + 25*c + 107. Let s be q(h). Let p(i) = -3*i + 1. Calculate p(s). 22 Let a(g) = -10*g - 98. Let t be a(20). Let y = 291 + t. Let r(x) = x**2 + 9*x + 13. Determine r(y). -1 Let b(o) = o**2 + 6*o - 13. Suppose 477*g = 484*g + 4648. Let s = g - -657. What is b(s)? -6 Let m = 148 - 53. Let g be 6/21 + m/35. Let p(h) = 2*h + g + 6 - 2 + 1. Calculate p(-6). -4 Let i be -7*3/(-6)*(-128)/112. Let a(m) = 4*m**2 + 7*m + 6. Determine a(i). 42 Let y(b) = -10. Let a(m) = -m - 2. Let g(n) = 4*a(n) - y(n). Let r = -26 - -31. Suppose 0 = r*k + 10. Determine g(k). 10 Let s be ((-9)/
{ "pile_set_name": "DM Mathematics" }
127. 2 What is the remainder when 42970 is divided by 45? 40 Calculate the remainder when 3371534 is divided by 16. 14 What is the remainder when 5919 is divided by 848? 831 What is the remainder when 24752 is divided by 24727? 25 What is the remainder when 11373 is divided by 47? 46 What is the remainder when 3659 is divided by 718? 69 What is the remainder when 12972 is divided by 126? 120 Calculate the remainder when 30070 is divided by 57. 31 What is the remainder when 4239 is divided by 9? 0 Calculate the remainder when 412079 is divided by 145. 134 What is the remainder when 11090 is divided by 199? 145 What is the remainder when 61920 is divided by 2290? 90 What is the remainder when 41125 is divided by 10271? 41 Calculate the remainder when 3152 is divided by 58. 20 What is the remainder when 28827 is divided by 962? 929 What is the remainder when 77183 is divided by 215? 213 Calculate the remainder when 400658 is divided by 80131. 3 Calculate the remainder when 539248 is divided by 750. 748 Calculate the remainder when 1413 is divided by 260. 113 What is the remainder when 35218 is divided by 2347? 13 Calculate the remainder when 724401 is divided by 402. 399 What is the remainder when 2415 is divided by 1039? 337 What is the remainder when 2416 is divided by 647? 475 What is the remainder when 12145 is divided by 3991? 172 What is the remainder when 1666 is divided by 225? 91 What is the remainder when 3560 is divided by 186? 26 What is the remainder when 24692 is divided by 306? 212 What is the remainder when 16187 is divided by 809? 7 Calculate the remainder when 3319 is divided by 2880. 439 What is the remainder when 111918 is divided by 37303? 9 What is the remainder when 933 is divided by 335? 263 What is the remainder when 59873 is divided by 868? 849 What is the remainder when 19101 is divided by 84? 33 What is the remainder when 1560733 is divided by 19? 16 What is the remainder when 39697 is divided by 3607? 20 Calculate the remainder when 2190 is divided by 1086. 18 Calculate the remainder when 1319 is divided by 1023. 296 Calculate the remainder when 416236 is divided by 63. 58 What is the remainder when 304329 is divided by 53? 3 What is the remainder when 4245749 is divided by 45? 44 What is the remainder when 1000887 is divided by 36? 15 Calculate the remainder when 103553 is divided by 20696. 73 What is the remainder when 738 is divided by 19? 16 Calculate the remainder when 2914 is divided by 2899. 15 What is the remainder when 143233 is divided by 26? 25 What is the remainder when 856273 is divided by 12780? 13 Calculate the remainder when 70027 is divided by 2414. 21 What is the remainder when 2040978 is divided by 1021? 1020 What is the remainder when 46371 is divided by 11588? 19 What is the remainder when 1627 is divided by 1591? 36 What is the remainder when 52651 is divided by 462? 445 Calculate the remainder when 23234 is divided by 273. 29 What is the remainder when 722746 is divided by 25? 21 What is the remainder when 229433 is divided by 111? 107 Calculate the remainder when 126124 is divided by 138. 130 Calculate the remainder when 299564 is divided by 67. 7 Calculate the remainder when 157771 is divided by 79. 8 Calculate the remainder when 20999279 is divided by 236. 235 Calculate the remainder when 630136 is divided by 965. 956 Calculate the remainder when 14092 is divided by 587. 4 Calculate the remainder when 2533 is divided by 1258. 17 Calculate the remainder when 477398 is divided by 1156. 1126 What is the remainder when 31166 is divided by 636? 2 Calculate the remainder when 7038988 is divided by 15. 13 Calculate the remainder when 971241 is divided by 70. 61 Calculate the remainder when 24103 is divided by 21. 16 What is the remainder when 565142 is divided by 13? 6 Calculate the remainder when 224916 is divided by 112451. 14 Calculate the remainder when 181947 is divided by 139. 135 Calculate the remainder when 24852 is divided by 15. 12 What is the remainder when 25114 is divided by 965? 24 What is the remainder when 1292 is divided by 496? 300 Calculate the remainder when 224 is divided by 26. 16 What is the remainder when 375689 is divided by 143? 28 Calculate the remainder when 243788 is divided by 273. 272 What is the remainder when 1066 is divided by 469? 128 What is the remainder when 107015 is divided by 42? 41 What is the remainder when 1036 is divided by 203? 21 Calculate the remainder when 32937 is divided by 36. 33 What is the remainder when 174657 is divided by 13? 2 What is the remainder when 11363 is divided by 177? 35 What is the remainder when 66139 is divided by 1787? 20 What is the remainder when 40821 is divided by 168? 165 Calculate the remainder when 23166 is divided by 1060. 906 What is the remainder when 23282 is divided by 18? 8 What is the remainder when 91225 is divided by 5068? 1 Calculate the remainder when 4819 is divided by 956. 39 What is the remainder when 77451 is divided by 2670? 21 What is the remainder when 103661 is divided by 25914? 5 What is the remainder when 814 is divided by 226? 136 Calculate the remainder when 1301 is divided by 378. 167 What is the remainder when 7493 is divided by 1004? 465 Calculate the remainder when 4439517 is divided by 360. 357 Calculate the remainder when 4265 is divided by 953. 453 Calculate the remainder when 16332 is divided by 606. 576 What is the remainder when 54907 is divided by 584? 11 What is the remainder when 227828 is divided by 45564? 8 What is the remainder when 432719 is divided by 144? 143 Calculate the remainder when 2043 is divided by 277. 104 Calculate the remainder when 28188 is divided by 39. 30 Calculate the remainder when 5220 is divided by 601. 412 Calculate the remainder when 87048 is divided by 234. 0 Calculate the remainder when 10565 is divided by 5074. 417 What is the remainder when 1519 is divided by 5? 4 What is the remainder when 10399 is divided by 121? 114 What is the remainder when 2364 is divided by 2? 0 What is the remainder when 599 is divided by 155? 134 What is the remainder when 41268 is divided by 45? 3 Calculate the remainder when 185985 is divided by 25. 10 What is the remainder when 19568 is divided by 1129? 375 Calculate the remainder when 4257 is divided by 2073. 111 What is the remainder when 48180 is divided by 24084? 12 Calculate the remainder when 49028 is divided by 16335. 23 What is the remainder when 25199 is divided by 93? 89 What is the remainder when 4342 is divided by 117? 13 Calculate the remainder when 19259 is divided by 32. 27 Calculate the remainder when 10964 is divided by 137. 4 What is the remainder when 65164 is divided by 9? 4 What is the remainder when 233123 is divided by 29140? 3 Calculate the remainder when 11842 is divided by 2947. 54 Calculate the remainder when 3566 is divided by 1779. 8 Calculate the remainder when 13159 is divided by 77. 69 Calculate the remainder when 18444 is divided by 307. 24 What is the remainder when 9714 is divided by 690? 54 What is the remainder when 51585 is divided by 3? 0 What is the remainder when 647 is divided by 217? 213 Calculate the remainder when 104 is divided by 15. 14 Calculate the remainder when 13136 is divided by 578. 420 Calculate the remainder when 1053 is divided by 273. 234 What is the remainder when 27232 is divided by 14? 2 What is the remainder when 4400 is divided by 101? 57 What is the remainder when 52856 is divided by 608? 568 What is the remainder when 1009127 is divided by 31? 15 What is the remainder when 15468 is divided by 966? 12 What is the remainder when 1582 is divided by 1548? 34 Calculate the remainder when 964654 is divided by 432. 430 Calculate the remainder when 110980 is divided by 1734. 4 What is the remainder when 758 is divided by 167? 90 What is the remainder when 4313 is divided by 1411? 80 What is the remainder when 21294 is divided by 150? 144 Calculate the remainder when 3076 is divided by 1017. 25 What is the remainder when 3984 is divided by 114? 108 Calculate the remainder when 78580 is divided by 457. 433 What is the remainder when 8828 is divided by 301? 99 Calculate the remainder when 25444 is divided by 31. 24 Calculate the remainder when 3174 is divided by 1579. 1
{ "pile_set_name": "DM Mathematics" }
d root of 15559 to the nearest integer? 25 What is the square root of 2469 to the nearest integer? 50 What is the seventh root of 616 to the nearest integer? 3 What is the fourth root of 2310 to the nearest integer? 7 What is the fourth root of 7426 to the nearest integer? 9 What is 117577 to the power of 1/2, to the nearest integer? 343 What is 14494 to the power of 1/2, to the nearest integer? 120 What is 8246 to the power of 1/2, to the nearest integer? 91 What is the fourth root of 2018 to the nearest integer? 7 What is the cube root of 1437 to the nearest integer? 11 What is 2199 to the power of 1/6, to the nearest integer? 4 What is 4150 to the power of 1/7, to the nearest integer? 3 What is the cube root of 1405 to the nearest integer? 11 What is the cube root of 4655 to the nearest integer? 17 What is the square root of 4934 to the nearest integer? 70 What is 51627 to the power of 1/3, to the nearest integer? 37 What is the cube root of 1117 to the nearest integer? 10 What is the cube root of 360 to the nearest integer? 7 What is the square root of 7850 to the nearest integer? 89 What is the seventh root of 1295 to the nearest integer? 3 What is the square root of 7890 to the nearest integer? 89 What is the sixth root of 1705 to the nearest integer? 3 What is 3569 to the power of 1/2, to the nearest integer? 60 What is the third root of 198773 to the nearest integer? 58 What is the seventh root of 1660 to the nearest integer? 3 What is the square root of 3284 to the nearest integer? 57 What is 6297 to the power of 1/6, to the nearest integer? 4 What is 21577 to the power of 1/3, to the nearest integer? 28 What is 13965 to the power of 1/3, to the nearest integer? 24 What is 1502 to the power of 1/10, to the nearest integer? 2 What is the square root of 13666 to the nearest integer? 117 What is 2465 to the power of 1/3, to the nearest integer? 14 What is the seventh root of 2371 to the nearest integer? 3 What is the third root of 38496 to the nearest integer? 34 What is 8 to the power of 1/2, to the nearest integer? 3 What is 3653 to the power of 1/2, to the nearest integer? 60 What is 22139 to the power of 1/3, to the nearest integer? 28 What is the third root of 12510 to the nearest integer? 23 What is 93966 to the power of 1/4, to the nearest integer? 18 What is 1294 to the power of 1/2, to the nearest integer? 36 What is 271 to the power of 1/9, to the nearest integer? 2 What is the square root of 13490 to the nearest integer? 116 What is 4742 to the power of 1/5, to the nearest integer? 5 What is 403 to the power of 1/3, to the nearest integer? 7 What is the square root of 990 to the nearest integer? 31 What is 50498 to the power of 1/2, to the nearest integer? 225 What is the third root of 162 to the nearest integer? 5 What is the square root of 2324 to the nearest integer? 48 What is the cube root of 4449 to the nearest integer? 16 What is the third root of 4421 to the nearest integer? 16 What is the cube root of 1741 to the nearest integer? 12 What is 27473 to the power of 1/10, to the nearest integer? 3 What is the third root of 320 to the nearest integer? 7 What is the square root of 438 to the nearest integer? 21 What is the cube root of 5723 to the nearest integer? 18 What is the square root of 2653 to the nearest integer? 52 What is the third root of 19682 to the nearest integer? 27 What is 951 to the power of 1/5, to the nearest integer? 4 What is the cube root of 5939 to the nearest integer? 18 What is the square root of 1308 to the nearest integer? 36 What is the third root of 140 to the nearest integer? 5 What is 2146 to the power of 1/2, to the nearest integer? 46 What is the sixth root of 33164 to the nearest integer? 6 What is 2344 to the power of 1/2, to the nearest integer? 48 What is 3889 to the power of 1/5, to the nearest integer? 5 What is 9608 to the power of 1/3, to the nearest integer? 21 What is 2896 to the power of 1/5, to the nearest integer? 5 What is the third root of 290 to the nearest integer? 7 What is 2291 to the power of 1/3, to the nearest integer? 13 What is 609 to the power of 1/7, to the nearest integer? 2 What is the third root of 5517 to the nearest integer? 18 What is 32447 to the power of 1/4, to the nearest integer? 13 What is the third root of 6705 to the nearest integer? 19 What is 22345 to the power of 1/2, to the nearest integer? 149 What is the eighth root of 68191 to the nearest integer? 4 What is the sixth root of 3935 to the nearest integer? 4 What is 28475 to the power of 1/3, to the nearest integer? 31 What is the sixth root of 32104 to the nearest integer? 6 What is 95538 to the power of 1/3, to the nearest integer? 46 What is 13684 to the power of 1/3, to the nearest integer? 24 What is the cube root of 32200 to the nearest integer? 32 What is the square root of 6856 to the nearest integer? 83 What is the third root of 4965 to the nearest integer? 17 What is 4392 to the power of 1/3, to the nearest integer? 16 What is 4352 to the power of 1/3, to the nearest integer? 16 What is the seventh root of 42113 to the nearest integer? 5 What is the seventh root of 6032 to the nearest integer? 3 What is the square root of 870 to the nearest integer? 29 What is the square root of 936 to the nearest integer? 31 What is the square root of 4872 to the nearest integer? 70 What is the square root of 553 to the nearest integer? 24 What is the seventh root of 84643 to the nearest integer? 5 What is the fifth root of 11281 to the nearest integer? 6 What is 42801 to the power of 1/7, to the nearest integer? 5 What is the cube root of 43287 to the nearest integer? 35 What is the square root of 100709 to the nearest integer? 317 What is 118 to the power of 1/2, to the nearest integer? 11 What is the square root of 5171 to the nearest integer? 72 What is 549 to the power of 1/3, to the nearest integer? 8 What is the cube root of 1558 to the nearest integer? 12 What is the ninth root of 16304 to the nearest integer? 3 What is the third root of 31716 to the nearest integer? 32 What is the cube root of 2726 to the nearest integer? 14 What is 6766 to the power of 1/9, to the nearest integer? 3 What is the cube root of 1269 to the nearest integer? 11 What is 26347 to the power of 1/2, to the nearest integer? 162 What is 877 to the power of 1/3, to the nearest integer? 10 What is the fifth root of 10116 to the nearest integer? 6 What is the ninth root of 167957 to the nearest integer? 4 What is 449 to the power of 1/2, to the nearest integer? 21 What is 600 to the power of 1/2, to the nearest integer? 24 What is the cube root of 416 to the nearest integer? 7 What is the fourth root of 119 to the nearest integer? 3 What is the sixth root of 5000 to the nearest integer? 4 What is the ninth root of 787 to the nearest integer? 2 What is 71917 to the power of 1/3, to the nearest integer? 42 What is 1456 to the power of 1/2, to the nearest integer? 38 What is the square root of 5222 to the nearest integer? 72 What is 1278 to the power of 1/5, to the nearest integer? 4 What is 2302 to the power of 1/3, to the nearest integer? 13 What is 95619 to the power of 1/2, to the nearest integer? 309 What is the fifth root of 41459 to the nearest integer? 8 What is the fifth root of 609 to the nearest integer? 4 What is the square root of 4261 to the nearest integer? 65 What is the third root of 476 to the nearest integer? 8 What is 38887 to the power of 1/4, to the nearest integer? 14 What is 3203 to the power of 1/2, to the nearest integer? 57 What is 1064 to the power of 1/2, to the nearest integer? 33 What is the square root of 838 to the nearest integer? 29 What is 30075 to the power of 1/3, to the nearest integer? 31 What is 6 to the power of 1/4, to the nearest integer? 2 What is 18638 to the power of 1/2, to the nearest integer? 137 What is 3534 to the power of 1/3, to the nearest integer? 15 What is 5496 to the power of 1/3, to the nearest integer? 18 What is the ninth root of 1778 to the nearest integer? 2 What is the tenth root of 32795 to the nearest integer? 3 What is the eighth root of 1082 to the nearest integer? 2 What is the fourth root of 889 to the nearest integer? 5 What is the cube root of 15992
{ "pile_set_name": "DM Mathematics" }
ommon denominator of -31/22 and x. 22 What is the common denominator of ((-198)/220)/((-12)/(-130)) and -121/42? 84 Let o = 160 - 183. Suppose 0 = 3*q + 3 + 63. Let w = q - o. What is the least common multiple of 4 and w? 4 Calculate the common denominator of ((-168)/280)/((-28)/290 + 0) and 1/(-4)*(-670)/(-55). 154 Suppose 3*q = 2 + 283. What is the common denominator of q/80 - (-1)/4 and 81/32? 32 Let o = -440 - -460. Calculate the smallest common multiple of 200 and o. 200 Let q(d) = 2*d - 1. Let o(u) = -4*u + 2. Let s(x) = -6*o(x) - 13*q(x). Let n be s(-1). Suppose -3 = -n*w + 3. What is the least common multiple of w and 20? 20 What is the common denominator of ((-3597)/363)/(1 + 1/1) and -25/11? 22 Suppose -4*c - 692 = -4*r, -2*c - 499 = c + 2*r. Let m = c + -55. Find the common denominator of (-2 - m/110)*65 and -35/3. 33 Suppose 2*a - 4*a + 5 = -5*v, -5*v - 5*a = -30. Let w be (-4)/22 + 168/(-44). Let b = w - -8. What is the smallest common multiple of v and b? 4 Let b = 2381/3201 + 66/97. Find the common denominator of b and -55/21. 231 Let v(g) = -52*g - 248. Let z = 18 + 4. Calculate the lowest common multiple of z and v(-5). 132 Suppose -5*k + 125 = -4*o, -59 - 8 = -2*k + 5*o. Suppose 2*h + h - k = 0. Suppose 0 = -h*z + 3*z + 48. Calculate the smallest common multiple of 12 and z. 12 Calculate the common denominator of 33/5 and (-1221)/(-1512) + 100/(-225). 840 Let k = -1875931/13874412 - -6/39869. What is the common denominator of -109/24 and k? 696 Let k(q) = q**3 + 5*q**2 + 4*q + 4. Suppose -458 = 13*f - 601. Calculate the least common multiple of k(-3) and f. 110 Let c = -257/3 + 85. Let x = -25315/3 - -8461. Find the common denominator of c and x. 3 Let w be (-28 + 29)/(10/4 + -2). Let a = 4 - -15. Suppose -5*p = w*q - q - 28, 5*p = 2*q + a. Calculate the least common multiple of 11 and q. 33 Let k(c) be the third derivative of -c**5/60 + 7*c**4/24 - c**3/3 - 4*c**2. Let u be k(7). Calculate the common denominator of 65/9 and (3 + u)*35/10. 18 Let u = -17695/722 - -3/361. Calculate the common denominator of u and ((-252)/(-30))/14 - 54/10. 10 Suppose -2*m = m - 5*b - 27, 0 = 2*m + b - 5. Let o = -3 - -4. What is the smallest common multiple of (o/(-3))/(2/(-12)) and m? 4 Suppose 53 = -7*v + 74. Calculate the lowest common multiple of 75 and v. 75 Suppose 171*z - 384 = 159*z. Calculate the smallest common multiple of z and 60. 480 Suppose b - 2*l - 431 = 0, 3*l = -b + 6*b - 2120. Calculate the smallest common multiple of b and 3. 1263 Let q(r) = -r + 2. Let y be 0 - (-1 - 4) - 3. Let o be q(y). Suppose 3*w + o*w = 12. Calculate the smallest common multiple of 12 and w. 12 Suppose 5*t + 65 = -w, 4*w + 3*t = 4*t - 176. Calculate the common denominator of -42/37 and w. 37 Let g = -13 - -14. Let t = 0 + g. Calculate the least common multiple of 1 + -5 + 11 + t and 11. 88 Let g = 35 - 36. Calculate the smallest common multiple of 10 and 6/((-4)/6 + g/(-1)). 90 Let t(r) = -8*r**2 - 2*r + 3 + 3 - r**3 - 10. What is the least common multiple of t(-8) and 12? 12 Suppose 5*j + 167889647 + 132452998 = 0. Let x = j - -100194302323/1668. Let m = -3/278 - x. Calculate the common denominator of m and -107/10. 60 Let s = 1/6 + 43/3. Let q = 2903/3 - 973. Calculate the common denominator of s and q. 6 Suppose 22*v - 721 - 1523 = 0. What is the least common multiple of 20 and v? 1020 Suppose 0 = -6*l + 23661 + 25005. Let i = l + -145847/18. Calculate the common denominator of i and -47/22. 198 Calculate the least common multiple of 9 and (4 - 0)/(3 + (-776)/264). 198 Let a be ((-80)/2)/(-1) + (-1 - -2). Suppose -5*p = 11 - a. Calculate the least common multiple of p and 6. 6 Let p = -7358/3 + 2476. What is the common denominator of p and -38/9? 9 Let z = 1600 + -1589. Suppose -4*k + 11 = -5. Calculate the lowest common multiple of k and z. 44 Let w(n) = -n**3 + 10*n**2 + 4. Let p be w(10). Suppose -p*g = -0*g - 24. Suppose 8 = 5*x - 3*x. What is the smallest common multiple of g and x? 12 Let y = 8063/7440 - -29/155. What is the common denominator of y and 0 - 2 - 47/(-16)? 48 Let u(l) = -l - 7. Let v = -22 - -4. Calculate the lowest common multiple of 10 and u(v). 110 Let m = 229 - 221. Calculate the lowest common multiple of m and 423. 3384 Suppose t - 4 = 5*x - 49, 3*x + 4*t = 27. Suppose y + x = 2*y. Calculate the smallest common multiple of y and 1. 9 Calculate the common denominator of 31/5 and (-64)/(-1056)*(2 + 23/4). 330 Let l = -475/18 + 22. What is the common denominator of 65/24 and l? 72 What is the common denominator of (-1)/(-8) + 1206/(-1680)*-1 and 139/54? 1890 Let a = 8 - -25. Suppose -a = -4*o + 27. Find the common denominator of ((-156)/20)/(6/o) and -7/8. 8 Let h(r) = 2*r**2 + 2*r + 3. Let p be h(3). What is the smallest common multiple of 2/(-6)*p*-1 and 5? 45 Let h be (1*(-27)/(-228))/(-2). Let w = -158/19 + h. What is the common denominator of w and -32/5? 40 Suppose 21*a = -2*i + 16*a + 418, -4*i + 4*a + 836 = 0. Calculate the lowest common multiple of i and 33. 627 Let m = 1241/2 + -670. What is the common denominator of (-7392)/(-360) - 22/10 and m? 6 Let v = -248 - -249. Calculate the least common multiple of 1 and v. 1 Suppose -3*s + 8 = -d, 5*s - 2*d - 12 = -0*d. Suppose 8 - 83 = 2*y - w, 3*y - 2*w = -110. Let m = 51 + y. What is the lowest common multiple of s and m? 44 Let z = -3 - -3. Suppose 3*o = -2*o + 5*v - 5, z = -2*o + 5*v - 14. Calculate the lowest common multiple of 3 and o. 3 Let d = 38 - 36. Find the common denominator of (30/(-35) - d)*-1 and 69/8. 56 Let r(z) = -3*z + 2. Let b be r(3). Find the common denominator of b/(-27 - (0 + -1)) and ((-520)/(-60) - 0)/((-44)/(-15)). 286 Calculate the smallest common multiple of 530 and 48/(-24)*(-1749)/6. 5830 Let z be 1 - 23180168/(-18) - 4. Let g = -1291149 + z. Let t = 3370 + g. Calculate the common denominator of 25/6 and t. 18 Let b be (-12 - -2)*(-30)/(-12). Let u = 12115/4 - 3050. What is the common denominator of (-3815)/(-28)*2/b and u? 20 Let u = -246 + 370. Calculate the least common multiple of u and 3. 372 Suppose -9*y - 12 = -11*y. Suppose -2*o - 2 = -y. What is the lowest common multiple of o and -1 - -3 - 2 - -6? 6 Calculate the common denominator of 56/27 and -3 + (1506/225 - 4). 675 Suppose -o = 2*o - 23*o + 80. Suppose 3*p - p - 42 = 2*d, -2*p + d = -47. Calculate the lowest common multiple of p and o. 52 Suppose 7*p = -4*p + 660. Calculate the least common multiple of 63 and p. 1260 Find the common denominator of -55/8 and 2/8 - 12051/(-1404). 24 Calculate the lowest common multiple of -3 - 1 - (1 - 6) and 5. 5 Let o be -278*(3/(-14) + 2/(-7)). Suppose 5*k + 1 = 5*s - o, -3*k - 3 = 0. What is the lowest common multiple of s and 21? 189 Let o = 37 + -13. Suppose -5*c + 4*j = o, 3*j - 5*j = -5*c - 22. Calculate the common denominator of 149/12 and (79/c - -3)/(-1). 12 Let m(q) = 2*q**3 + 2*q**2 - q - 2. Let a = -45 - -47. Calculate the least common multiple of m(a) and 2. 20 Let n(c) = 25*c + 1. Let b be 82/8 + 12/16. Let v be n(b). What is the common denominator of v/16 + 2 + -1 and -101/6? 12 Suppose w = -62 + 68. What is the least common multiple of w and 3/((-3)/2) - -22? 60 Let k be (-6)/33 - 16/(-88). What is the lowest common multiple of k + (-11)/((-11)/24) and 12? 24 Let a be 4/18 + 34/9. Suppose a*m = 63 + 33. What is the lowest common multiple of m and 21? 168 Let f = 533621/126 - 8469/2. Find the common denominator of f and 8/81. 567 Let q be 7 + -11 - 636/(-158). Let i = -2753/474 - q. Find the common denominator of i and 9/8. 24 Suppose 13*q - 536 = 11*q. Calculate the smallest common multiple of 4 and q. 268 Let n(x) = -x**3 + 10*x**2 + 2*x + 6. Let t be n(10). What is the common denominator of -43/12 and t/8 - (-10)/40? 12 Let l = 105 - 103. Suppose 4*k + 5*r - 17 = 0, -4*k - l*r + 5 = -3*k. What is the smallest common multiple of 30 and k? 30 What is the common denominator of -88/63 and (-4445)/420 - (-1)/6*1? 252 Suppose 11*n - 8*n + 21 = 0. Calculate the common denominator of 49/3 and (7/36*10)/(n/(-14)). 9 Suppose 4*c = -u + 20, -25 = -6*c + c + 3*u. Let o = -29 + 34. Suppose c*q = 0, 3*b + 40 = o*b + q. What is the lowest common multiple of b and 4? 20 Let p(t) = 8*t + 31. Let w be p(-4). What is the smallest common mu
{ "pile_set_name": "DM Mathematics" }
for n. -5 Let m(z) = 160*z + 809. Let q be m(-5). Solve -42 - 12 = q*t for t. -6 Suppose -95 = -5*s + 2*k - 4*k, 4*s - 99 = 3*k. Solve 17*g - s*g + 16 = 0 for g. 4 Let w be 987/11 + (-36)/(-132). Solve -29*h + 11*h = w for h. -5 Suppose -46*c = -43*c - 23 + 11. Solve 58*x - 378 = c*x for x. 7 Suppose -68*a + 159*a - 49*a = -153*a. Solve 6*z - 378 + 420 = a for z. -7 Let o(z) = 51*z - 2230 + z**3 + 2230 - 28*z**2. Let c be o(26). Let r be c/(-8) + 9/12. Solve 0*u = -2*u - r for u. -2 Suppose 0 = 23*q - 19*q - 20. Suppose 2*w - 6*y + 7*y = 17, -q*w - y = -41. Solve -2*l = -w*l - 24 for l. -4 Let b(r) = -r - 25. Suppose 6*j - 11*j = 0, 50 = -2*q + 2*j. Let i be b(q). Solve i*x + 4*x + 12 = 0 for x. -3 Let v = -23 - -29. Suppose -v*p + 7*p = 4. Suppose a + 3*a + p = 0, -2*h + 8 = -4*a. Solve h = -6*z + 4*z for z. -1 Suppose -4*x - 64 = t - 5*t, 4 = -2*x. Let u = -351 + 352. Suppose -6 = -o - 5*k + u, 4*k - 8 = -2*o. Solve 0 = 3*m + t - o for m. -4 Let m be (-211)/(-10) + (-2)/20 - -7. Solve 0 = m*u - 4*u - 144 for u. 6 Suppose 4 = 4*y, 2*y + 12 = 5*l - y. Suppose i + l = 7. Let o = -149 + 149. Solve o = -i*v - 17 + 1 for v. -4 Let t = -10 - -14. Suppose 0*i - 57*i - 6*i = 0. Solve i = -3*s - t*s - 7 for s. -1 Suppose -8*b = -10*b. Let p(o) = o**3 - 6*o**2 - 5*o - 9. Let i be p(7). Let k be (-2)/i - (-330)/75. Solve -k*y = -b*y + 4 for y. -1 Let x be 1 - (-3 - (-1 + -4)). Let p be (-3 - x)/(1*1/(-2)). Let j be p*(5 - (0 + 4)). Solve 3 = v + j for v. -1 Suppose 0 = -h + 5*h. Let l be -4*(-3)/(-42) - (-1334)/14. Let d = l - 92. Solve d = -h*o + o for o. 3 Let h be ((-84)/36 + 318/144)*0. Solve h = 7*y + 757 - 743 for y. -2 Let v = -1852 - -2361. Solve 0 = v*x - 516*x - 42 for x. -6 Let a = 76 + -56. Let k = 82 + -59. Let u = k - 23. Solve u = 2*t + 3*t - a for t. 4 Let q be (476/5)/((0 - 2)/(-10)). Suppose -2*f + q = 15*f. Solve -2*k = f - 24 for k. -2 Let l(j) = 17*j + 79. Let s(n) = -19*n - 78. Let o(c) = 6*l(c) + 5*s(c). Let d be o(-10). Solve 10*t - d*t + 16 = 0 for t. 4 Let k(z) = -z**3 - 6*z**2 + 7*z - 9. Let a be k(-7). Let x be 0*3/a*(-12)/8. Solve 0 = -j - x*j for j. 0 Suppose 65*g - 62*g = 927. Solve 0 = -316*r + g*r + 42 for r. 6 Let u(c) = -c**3 - 15*c**2 + 14*c - 30. Suppose -4*s = 5*w + 68, 14*s = w + 18*s + 4. Let v be u(w). Solve -10 = -3*l - v*l for l. 2 Let t(d) = d**2 - 13*d + 46. Let s be t(7). Suppose 4*v = -5*u + 4*u + 20, 0 = -4*u - s*v + 32. Solve -8 = -u*h - 0 for h. 2 Let x(k) = -k**2 - 13*k + 26. Suppose s = 2*c - 13, -2*c = 44*s - 49*s - 65. Let g be x(s). Solve g = 6*h + 8 for h. 3 Suppose 7*m = 2*m + 10. Let o(f) = f**3 + 2*f + 8 - f**m - f + 4*f - 6*f. Let c be o(0). Solve -3*s + c + 7 = 0 for s. 5 Let v = 3542 + -3542. Let x(m) = -4 + 3*m**2 + 4*m + m - 4*m**2. Let o be x(3). Solve v = o*p - p for p. 0 Let c be -99 - -5 - (4 - 8). Let s be ((-27)/15 - -1)/(4/c). Solve 2 = 20*b - s*b for b. 1 Suppose -2*r - 2*g + 16 = -0, -5*g = 4*r - 37. Suppose r*j - 5 = 4*c + 2, j - 9 = -2*c. Solve -2*l = -j*l + 12 for l. 4 Let w = 83 - 130. Let g = w + 51. Suppose 3*v = 3, 2*m = -m - g*v + 67. Solve -4*r + m = 5 for r. 4 Let l(a) = a**3 - 23*a**2 - 3*a + 79. Let y be l(23). Let b be y/(-55) + 6/33. Solve b*c + 4*c = 2*c for c. 0 Let o = 92 + -89. Suppose 3*z - 4*t = 12, 0 = -z - 4*t - 2 - 10. Solve o*r - 4*r = z for r. 0 Suppose -110*r + 109*r + 5*l - 19 = 0, 3*r + 4*l - 38 = 0. Solve 2*g + r*g = 6*g for g. 0 Let y be (2/3)/(198/2673). Solve -16*c - y*c = -125 for c. 5 Let m be (-1350)/(-16) + (-115)/(-184). Solve 15*d - m = -2*d for d. 5 Let t = 101 - 85. Suppose 0 = 5*r - x - 4*x - 30, 3*r - 2*x = t. Solve 0 = -u + 5 - r for u. 1 Let t = 13928 + -13888. Solve -16*j - 24 - t = 0 for j. -4 Let g(s) = s**3 + 3*s**2 - 423*s - 45. Let l be g(-21). Solve -l*d + 21 = -907*d for d. -3 Suppose 2*m - 5*m = 0. Suppose m = -4*x - 14 + 10. Let f be x/(52/(-12) - -4). Solve 1 = -v - f for v. -4 Let g be (64/4 - 4)*2. Let j be (1 + -5)*4/g*-6. Let m be -2 - (j - (-2 - -8)). Solve -3*n - 2*n - 25 = m for n. -5 Let j be (1140/(-120))/(2/(-4)). Solve 215 = j*w + 101 for w. 6 Let h = 477 + -475. Let u = -7 - -12. Suppose -u = -3*m - h*m. Solve y + m = 4 for y. 3 Suppose 27*c + n - 384 = 25*c, n = -5*c + 966. Let x = 200 - c. Solve -x = -11*t + 27 for t. 3 Let c be 268/(-1206) - 1/((-18)/4). Suppose -o - 2*y + 12 = 0, c = -5*o - y + 6 + 27. Let f = -2 - -5. Solve 0 = -f*s + o*s - 12 for s. 4 Let d be (-1)/((-838)/279 + 3). Solve d = 78*c - 345 for c. 8 Suppose t + 4*h = 420, -4*t - h = -0*t - 1635. Solve -15 = t*w - 405*w for w. -5 Let p = -753 + 1234. Let f = p + -477. Solve -15 = -f*h + h for h. 5 Suppose -7*d + 190 = -6*d - 4*y, 2*d - 5*y = 374. Suppose -178*o = -d*o + 20. Solve -o*p - 18 = -3 for p. -3 Suppose 13 = k - 5*f, 3*f - 2*f + 89 = 5*k. Suppose 0 = 2*d + k + 12. Let n be (-21)/d + -1 + 72/20. Solve -2*w + n + 0 = 0 for w. 2 Let g = 17 - 6. Suppose 33*k + 103*k - 1071 = 17*k. Solve k = -l + g for l. 2 Let w(l) = -4*l**3 - 2*l**2 - 2*l - 1. Let o be w(-2). Let z be o/4 + (-17)/(-68). Solve z*q - 15 = 20 for q. 5 Suppose 14 = -0*m + 11*m - 8. Solve m - 22 = 20*v for v. -1 Let d(x) = -34*x + 555. Let z be d(16). Solve z*i + 3 = 14 for i. 1 Let r = -110 + 114. Suppose 2*q - 4 = 0, -5*d - 4*q - r = -32. Solve -17*o = -16*o + d for o. -4 Let p(d) = 39 + 42 - 77 + d. Let f be p(-2). Solve -l - f*l = 9 for l. -3 Let r be ((-1 - -1)*(-13)/(-26))/(-2). Suppose -4*f - 4*f + 32 = r. Solve -f*j = 19 - 3 for j. -4 Let p(l) = 6*l**2 - 18*l + 62. Let w be p(7). Let a = w - 227. Solve -a*y + 5 = -4*y for y. -5 Let m be (2/10*-3)/((-3)/(-30)). Let p be 40*m/(-36)*(-6)/(-4). Solve 0 = 2*n - 0*n + p for n. -5 Let c = 8238 - 8193. Solve -c*d - 12 = 78 for d. -2 Let b = 9869 + -9820. Solve b = 12*u + 49 for u. 0 Let a be (-1)/(-4) + 7931/308. Solve -a + 106 = 20*n for n. 4 Let t(v) = -13*v**3 - v**2 + 6*v + 7. Let k be t(-2). Let z(m) = 10*m**2 + 3*m - 1. Let y be z(3). Let c = y - k. Solve p = c*p + 4 for p. -2 Let o be 4*(-10)/(-380) - 8/76. Solve 8*y + 5 - 37 = o for y. 4 Let g be 5 + (3 - 32/8). Suppose g*t - 5*t = 0. Solve t = -3*a - 3*a for a. 0 Let y be (-3 - -9) + (-5 - 1). Let s be y/(1 + 0) + (-31 - -33). Solve s*g + 0*g = -8 for g. -4 Suppose 155*n = 50*n + 29848 + 12572. Solve 4*o - n = -432 for o. -7 Suppose -1 + 6 = 5*x. Suppose -7 = -2*p - x. Suppose 0*w = -w - p*w. Solve w = 3*b + 2*b + 10 for b. -2 Let f(j) = -j**3 - 2*j**2 - 6. Let d be f(-3). Suppose q + 2*b = 67, -305 = -5*q - 7*b + d*b. Suppose -3*u - 39 = -q. Solve -u - 4 = -5*o for o. 2 Let w be (-1)/2*(5 + -3) - -6. Let y be (2 - -2)*74/(-8). Let z = -29 - y. Solve 7 = w*x - z for x. 3 Let u(i) = 2*i**2 + 25*i - 374. Let s be u(9). Solve s*n - 43*n = -60 for n. 2 Suppose 0 = 3*z - w - 28, 3*w = 4*z - 31 - 13. Let i = 12190 - 12183. Suppose 12*a = z*a - i*a. Solve a*u + 5*u + 10 = 0 for u. -2 Suppose -7*z - 484 = 83. Let b = 93 + z. Suppose 50*j = 46*j + b. Solve 5*w + j = -2 for w. -1 Suppose -638 + 868 = 46*x. Let p(r) = r**3 + 6*r**2 - 2*r - 4. Let g be p(-6). Solve x*o - o = -g for o. -2 Suppose 40*y = 43*y - 273. Suppose 2*v + 136 = -2*u, -5*u - y - 51 = 2*v. Let f = 92 + v. Solve 6 = 5*r + f for r. -4 Let k(g) = -g**3 - 9*g**2 - 8*g - 134. Let s be k(-10). Solve 7*m + s - 53 = 0 for m. 1 Suppose -552*a + 508*a + 396 = 0. Solve 0 = -a*d - 0 - 36 for d. -4 Let c = 0 - -19. Suppose 10*o + c - 99 = 0. Suppose -4 = v - o. Solve 0 = 3*u + v + 8 for u. -4 Let p = 664 + -380. Suppose 22*a - 178 = p. Solve a*m = 23*m + 4 for m. -2 Suppose 2*k = k + 2. Let p(o) = 2*o**3 - 4 + 6*o**3 + 2*o**2 - 4*o**3 + 2*o - 5*o**3. Let l be p(2). Solve -4*q + k*q - 10 = l for q. -5 Let w = 18685 - 18667. Let a be (1 - -21)/(2 + -1). Solve -a*m = -w*m - 4 for m. 1 Let u = -71 + 68. Let o be u + (-15)/5 - -9. Solve -2*s = -o - 3 for s. 3 Suppose -t = -3*m - 154, t + t + m - 308 = 0. Let f be 28/t + (-1 - 1104/22). Let o = 56 + f. Solve c - 2*c + o = 0 for c. 5 Let k = -3537 - -3564. Solve 0 = -k*c + 42 + 12 for c. 2 Let k be 40/(-60) - 16/(-6). Let j be ((-40)/15)/k*-3 + 1. Solve 13 + 7 = j*x for x. 4 Let z be 16/64 + 2/(-8). Suppose -1167 + 97 = -107*y. Solve 22*k - y*k + 48 = z for k. -4 Let p(f) = -f**3 - 32*f**2 - 33*f - 49. Let w be p(-31). Let j(d) = -d**2 + 7*d + 78. Let z be j(w). Solve 4*r - 12
{ "pile_set_name": "DM Mathematics" }
-225*x + 2. Let g(t) = -4*c(t) - 6094*w(t). What is s(g(m))? 1108*m Let f(n) = -3202*n. Let q(p) = -12*p + 3. Let w(k) = -49*k + 12. Let c(m) = 12*q(m) - 3*w(m). Give f(c(x)). -9606*x Let z(s) be the first derivative of -11*s**3/3 - 1. Let t(q) = -11*q + 220. Let k(p) = -7*p + 154. Let o(b) = -10*k(b) + 7*t(b). Give o(z(i)). 77*i**2 Let d(v) be the first derivative of 14*v**4/3 - 6*v**2 + 35. Let y(n) be the second derivative of d(n). Let m(x) = 2*x. What is m(y(f))? 224*f Let d(x) be the second derivative of -57*x + 0*x**2 + 1 + 17/6*x**3. Let v(f) = 11*f. Determine d(v(m)). 187*m Let b(s) = -7182*s. Let x(l) = -6282*l. What is b(x(u))? 45117324*u Let o(d) be the third derivative of -8*d**5/15 - 79372*d**2. Let f(b) = -1 + 5*b + 1. Determine f(o(m)). -160*m**2 Let u(h) = 1237*h - 1970. Let d(l) = -4*l**2. What is u(d(t))? -4948*t**2 - 1970 Suppose -5*q = -4 - 11. Let a(r) = -r**2 + 73*r - 332. Let g be a(68). Let s(i) = -q*i**2 - g*i - i + 9*i. Let n(l) = 7*l**2. What is n(s(c))? 63*c**4 Let k(s) = -593*s**2 + 1. Let t(i) = 56*i + 44. Let f(p) = -30*p - 24. Let g(b) = -11*f(b) - 6*t(b). What is k(g(l))? -21348*l**2 + 1 Let f(r) = 16*r. Let g(a) be the second derivative of 5*a**4/4 - 1111*a. Calculate f(g(q)). 240*q**2 Let t(w) = -4*w - 35. Let s(a) = a**2 + 12*a - 18. Let c(x) = x**2 + 10*x - 15. Let o(u) = -6*c(u) + 5*s(u). Calculate o(t(d)). -16*d**2 - 280*d - 1225 Suppose 11*x = 14*x - 204. Suppose 0 = -2*b + 14 + x. Let l(s) = -30 + 30 + b*s**2. Let m(o) = 2*o. Give l(m(c)). 164*c**2 Let v(o) = -2*o**2. Let j(l) be the third derivative of -l**5/60 - l**3/6 + 24*l**2 - 8*l. What is j(v(p))? -4*p**4 - 1 Let l(i) = 11*i**2. Let z(v) be the second derivative of v**6/90 - 5*v**4/4 + v**3/2 + v - 26. Let c(g) be the third derivative of z(g). What is l(c(w))? 704*w**2 Let v(n) = 5*n. Let h(l) = 4724*l**2 - 19. Give v(h(a)). 23620*a**2 - 95 Let m(o) = -14*o - 12. Let v(r) = -25*r**2 - 83. Calculate m(v(d)). 350*d**2 + 1150 Let s(d) = 357*d + 2504. Let r be s(-7). Suppose z - 3*j = -4, -4*z + 6 = -2*j + 2. Let y(v) = r*v - 5*v + 0*v + 7*v**z. Let q(w) = -3*w**2. What is q(y(i))? -147*i**4 Let c(m) = -3*m. Let p(d) = -58*d - 59. Let x(a) = -39*a - 36. Let s(g) = -5*p(g) + 8*x(g). What is s(c(v))? 66*v + 7 Let t(w) = -2*w - 12. Let p(s) = -13*s - 48. Let l(i) = p(i) - 4*t(i). Let x(j) = 314*j**2 - 2. Give l(x(h)). -1570*h**2 + 10 Let q(n) = 80*n**3 + n**2 - 2*n + 1. Let t be q(2). Let y(x) = 317*x**2 + 321*x**2 - t*x**2. Let b(h) = 19*h**2. Determine b(y(r)). 171*r**4 Let t(r) = 8*r + 5. Let s(d) = -20*d - 13. Let z(q) = -4*s(q) - 11*t(q). Let h(f) = 19*f**2 - f. Calculate h(z(o)). 1216*o**2 + 920*o + 174 Let v(c) = -1493*c. Let n(l) = 233939*l**2. Give v(n(p)). -349270927*p**2 Let r(q) be the first derivative of 5*q**2/2 - 65*q - 1519. Let l(x) = -x**2. Determine l(r(a)). -25*a**2 + 650*a - 4225 Suppose 0*a - 8 = -4*a. Let r(j) = -46 + 4*j**a + 46. Let t(u) = -26*u + 13*u + 3*u - 6*u. Determine t(r(c)). -64*c**2 Let d(k) be the second derivative of -19*k**4/3 - k. Let w(s) be the first derivative of -s**2 - 136652. What is w(d(l))? 152*l**2 Let t(w) be the first derivative of -w**2/2 + 162915. Let h(u) be the second derivative of 65*u**3/6 + u**2 - u. What is h(t(o))? -65*o + 2 Let j(n) = -n**2. Let a(f) be the first derivative of -11*f**3/3 - 280. Calculate j(a(k)). -121*k**4 Let l(a) = 188 - 297 - 3*a + 109. Let r(w) = 0 + w - 1 + 14. Determine l(r(y)). -3*y - 39 Let o(z) = -z**2. Let y(j) = 291*j + 1. Let a be y(1). Suppose u - a = 170. Let h(t) = -462*t + u*t + 11*t**2. What is o(h(k))? -121*k**4 Let l(n) = n**2. Let r(q) = 2*q + 147. Let u be r(0). Let s(d) = -102*d + u - 147 + 18*d. Calculate l(s(y)). 7056*y**2 Let z(n) = 2*n. Let q(x) = 117*x. Suppose 32*t + 15 = 17*t. Let c(r) = -2*r. Let y(v) = t*q(v) - 52*c(v). Determine y(z(b)). -26*b Let a(i) = -i - 34. Let j(z) = 321303*z**2. Give a(j(s)). -321303*s**2 - 34 Let y(l) = -270*l + 2. Let u(f) be the second derivative of -f**4/6 + 16*f - 3. Determine u(y(v)). -145800*v**2 + 2160*v - 8 Let v(q) = -2*q**2. Let f(j) = j**2 + j. Let t(n) = -80*n - 52*n**2 - 8*n - 44*n**2 + 19*n**2. Let l(z) = 264*f(z) + 3*t(z). Give v(l(y)). -2178*y**4 Let u(k) = -k. Let n(h) = 1262 - 1494 + 1136*h + 865*h. Let f(q) = -26*q + 3. Let b(z) = -232*f(z) - 3*n(z). What is u(b(l))? -29*l Let s(v) be the first derivative of 1660*v**3/3 - 574. Let t(b) = b**2. Determine t(s(o)). 2755600*o**4 Let k(c) = -c**2. Let b(z) = 11138493*z**2. What is k(b(x))? -124066026311049*x**4 Let s(x) = -4*x. Let u(j) = 64*j + 3. Let v(c) be the second derivative of 65*c**3/6 + 2*c**2 + 32*c. Let y(q) = -4*u(q) + 3*v(q). Give s(y(l)). 244*l Let x(b) = -4*b**2 + 3*b - 63. Let c(k) = -10*k**2. Give x(c(f)). -400*f**4 - 30*f**2 - 63 Let o(m) = 2*m. Let s(p) = -6139790*p. Give o(s(z)). -12279580*z Let k(u) = -u. Let w = 4 + -8. Let j(f) = f**2 + 2 + 14195*f - 14195*f. Let d(b) = -5*b**2 - 9. Let t(v) = w*d(v) - 18*j(v). Give t(k(r)). 2*r**2 Let z(k) = k**2 - 3*k + 2. Let a be z(3). Let l(g) = g**2 + 9*g - 33. Let f be l(-12). Let p(j) = 0*j - 1 - a*j + f*j + 4. Let x(b) = b**2. What is p(x(c))? c**2 + 3 Let z(u) = -6*u. Let n(k) = 17*k. Let f(x) = -4*n(x) - 11*z(x). Let p(g) be the third derivative of 19/12*g**4 + 0*g**3 - 13*g**2 + 0*g + 0. What is p(f(d))? -76*d Let b(x) = 2*x**2. Let m(r) be the first derivative of -r**4/6 + 57*r + 55. Let d(h) be the first derivative of m(h). What is b(d(j))? 8*j**4 Let v(u) = -2*u**2. Suppose -18*q + 20 = -8*q. Let l(b) = -163*b**2 - 49*b**2 - 74*b**q - 42*b**2. What is l(v(x))? -1312*x**4 Let u(n) = -11852598*n**2. Let h(a) = -38*a**2. Give u(h(l)). -17115151512*l**4 Let f(o) = o - 1. Let r(a) = 1. Let z(c) = -f(c) - r(c). Let n(g) = -83*g + 105. Let m be n(-6). Let j(i) = 1199*i - m*i - 599*i. Determine j(z(q)). 3*q Let z(o) = o + 107. Let f(n) = 11721*n. What is f(z(h))? 11721*h + 1254147 Let a(g) be the second derivative of 20*g**3/3 - 4283*g. Let n(y) = 125*y + 1. Calculate n(a(v)). 5000*v + 1 Let m(a) = -3*a**2. Let r = 463 - 461. Let y(c) = -11*c**2 - c + c - 30*c**r - 23*c**2. Give m(y(n)). -12288*n**4 Let p(g) = -g**2 + 1415*g + 392. Let n(z) = -44*z**2. Determine p(n(o)). -1936*o**4 - 62260*o**2 + 392 Let b(x) = -507*x**2 + 238*x**2 + 267*x**2. Let i(r) = -12*r - 281. Calculate i(b(p)). 24*p**2 - 281 Let x(w) = -698 + 349 + 167*w + 86*w + 349. Let r(z) = -10*z + 6. Let g(m) = 43*m - 26. Let q(u) = 6*g(u) + 26*r(u). Calculate x(q(i)). -506*i Let l(s) = 6*s**2. Let p(y) = 4*y**2 + 5*y. Suppose -14*t + 19*t + 690 = 0. Let x = -145 - t. Let q(h) = 6*h**2 + 7*h. Let z(d) = x*p(d) + 5*q(d). Give l(z(i)). 24*i**4 Let m(s) = 24*s**2 - 3*s. Let f(c) = 9*c**2 - 5. Let v(y) be the first derivative of -4*y**3/3 + 2*y - 44. Let b(r) = -2*f(r) - 5*v(r). Determine b(m(h)). 1152*h**4 - 288*h**3 + 18*h**2 Let c(j) be the third derivative of 8*j**6/15 + 31*j**3/3 - 38*j**2. Let s(x) be the first derivative of c(x). Let i(o) = -o**2. What is i(s(r))? -36864*r**4 Let p(z) = 134*z. Let s(g) = -7*g. Let q(h) be the second derivative of -h**3 + 17*h - 1. Let f(k) = -6*q(k) + 5*s(k). Give p(f(v)). 134*v Let t(z) = 2*z. Let h(n) = -28*n + 4139555. Give t(h(v)). -56*v + 8279110 Let i(c) = 9*c**2 + 3*c. Let b(o) = o**2 - 5*o - 27*o**2 + 8*o**2. Let l(x) = 3*b(x) + 5*i(x). Let m(u) = 4*u. Determine l(m(w)). -144*w**2 Let f(r) = -78*r. Let s(v) = 4*v - 58. Let n(x) = -x + 31. Let w(b) = 2*n(b) + s(b). Give w(f(m)). -156*m + 4 Let n(v) be the first derivative of 554*v**2 - 32 + 556*v**2 - 1076*v**2. Let y(t) = 2*t. What is n(y(m))? 136*m Let w(x) = -464 - 38*x + 929 - 462. Let u(v) = -4*v. Determine w(u(q)). 152*q + 3 Let s(l) be the third derivative of 7*l - 1/6*l**4 - l**2 + 0*l**3 + 0. Let p(u) = -4*u + 3*u + 0*u + 0*u. Determine p(s(o)). 4*o Let o(s) = 2*s. Let u(m) = -69607374*m**2 + m. Calculate u(o(g)). -278429496*g**2 + 2*g Let t(i) = -12*i. Let q(y) = 55*y. Suppose -5*h + 0*h - 8 = -2*j, -h = -2*j. Let d(l) = h*q(l) - 9*t(l). Let o(g) = -26*g. Calculate d(o(r)). 52*r Let q(k) = 5327480*k. Let s(v) = -v**2. Calculate q(s(j)). -5327480*j**2 Let v(f) = -3478*f. Let i(k) = -17730*k**2. Give v(i(r)). 61664940*r**2 Let f(k) = 2*k**2. Let l(i) = -144577484*i. Give f(l(j)). 41805297759540512*j**2 Let u(h) = 2*h**2 -
{ "pile_set_name": "DM Mathematics" }
**2 + 3*r + 10. Let z be x(-4). What is the greatest common factor of z and 126? 14 Let x be 3/6 + (-210)/(-12). Let r be 9*8 + 0/1. Calculate the highest common divisor of r and x. 18 Suppose 22 - 2 = 4*k. Let v(d) = 4*d + 11. Let u be v(k). What is the highest common divisor of u and 217? 31 Let q be 9/(-6)*20/(-6). Let g be (2 - -1 - 2) + 109. Suppose -5*f + g = q*y, y - 52 = -3*y + 5*f. What is the highest common divisor of 6 and y? 6 Let w = -33 - -78. Suppose 2*c = c + w. Calculate the highest common divisor of 30 and c. 15 Let q(l) be the second derivative of l**3/3 - 3*l**2/2 - 3*l. Let i be q(4). Suppose 37 = i*r + 2. Calculate the highest common factor of r and 1. 1 Let d = 8 - 2. Suppose 80 = d*c - 2*c. What is the highest common factor of c and 8? 4 Suppose 101*i - 105*i + 660 = 0. Calculate the highest common divisor of 15 and i. 15 Let c = 37 + -28. What is the greatest common factor of c and 45? 9 Suppose -113 = -4*n - 33. Calculate the greatest common divisor of 50 and n. 10 Let f = 38 + -9. Let o = -5 + f. Calculate the highest common factor of 48 and o. 24 Let q(v) = v**2 - 2*v - 31. Let p be q(-6). Calculate the highest common factor of p and 68. 17 Let m be (3/2)/(2/4). Suppose -4*l - 6*u + u - 15 = 0, -2*l = -3*u - 9. Suppose l = m*n + 9, o + n = -o + 31. What is the highest common factor of 17 and o? 17 Let u(m) = -9*m**3 + m + 2. Let s be u(-1). Calculate the greatest common factor of s and 110. 10 Suppose -2*a + 5 = -a. Suppose 0 = 2*m - a - 7. Let h = 8 + -5. Calculate the highest common divisor of h and m. 3 Let t = 6 - -2. Suppose -c = 16 + t. Let b = c - -79. What is the highest common factor of b and 11? 11 Let v be (-1 - 2)/((-6)/4). Suppose 3*b + v*s - 274 = 0, 0 = 2*b - s - s - 166. What is the greatest common divisor of b and 11? 11 Let b be 2 + -4 + (-60)/(-2). Let h = 16 - 12. Calculate the highest common divisor of h and b. 4 Let f = 455 + -260. Suppose -g + 3*l - 4*l = -37, -f = -5*g - 3*l. Let p be 32 + 88/(-24) + 1/(-3). What is the greatest common divisor of p and g? 14 Suppose -7 + 3 = -2*a, -4*b + 2566 = 5*a. Let w be b/13 + (-2)/13. What is the greatest common factor of 7 and w? 7 Let b(c) = -c**3 - 13*c**2 - 13*c - 5. Let s be b(-12). Calculate the highest common divisor of 63 and s. 7 Let z be 1192/12 - 2/6. Let r(l) = -l + 4. Let w be r(-5). What is the highest common divisor of w and z? 9 Let i be (-7)/35*(-5)/1. What is the greatest common factor of 7 and i? 1 Suppose 5*x = -2*o - 2731 - 24, 3*x - o = -1653. Let a = -386 - x. What is the greatest common factor of a and 15? 15 Let i be 63/9*13*2. What is the highest common factor of 26 and i? 26 Let t be (6/5)/((-15)/(-50)). What is the greatest common divisor of 20 and t? 4 Suppose 3*l + 308 = -l. Let n = l - -28. Let s = n + 77. Calculate the greatest common divisor of 7 and s. 7 Let w be -1 - -1 - 1 - -3. Suppose -5*s = -n + 6*n - 310, 3*s = -w*n + 184. Suppose 0 = 5*o - 0*o - 50. What is the highest common factor of s and o? 10 Let y = 1 - -7. Calculate the greatest common divisor of 56 and y. 8 Let x be 0/(4 - 2)*-1. Suppose h + 5*j + x = -4, -3*j = -h + 4. What is the greatest common divisor of 2 and h? 1 Let v be (-28)/(-6) + 10/(-15). What is the greatest common divisor of v and 8? 4 Let s(c) = -c**3 - 8*c**2 + 4*c - 27. Let h be s(-9). Calculate the greatest common factor of 72 and h. 18 Let x be (-1)/(2/(-108)) - 2. Suppose -4*f = -x + 8. Calculate the greatest common divisor of 1 and f. 1 Suppose -183 = -3*o + 57. Let u be (o/(-24))/((-1)/6). Let h = 60 - u. What is the greatest common factor of 100 and h? 20 Let d(j) = -38*j + 5. Let g be d(-10). Calculate the greatest common divisor of 35 and g. 35 Suppose z + 18 = 34. Calculate the highest common factor of z and 8. 8 Let r(t) = -11*t - 8. Let a(v) = -1. Let u(x) = 5*a(x) - r(x). Let p be u(7). Calculate the greatest common divisor of p and 20. 20 Let d be 4/14 + 14/(-49). Suppose d = 3*o + 16 - 46. Calculate the highest common divisor of 80 and o. 10 Suppose 3*d = -3*g + 6, g - 4*d - 1 + 4 = 0. Let a = -2 + g. Let x(c) = -56*c. Let l be x(a). What is the greatest common divisor of 7 and l? 7 Let s be 1/((4/(-16))/((-35)/4)). Calculate the highest common divisor of s and 280. 35 Suppose -16 = 2*i - 106. What is the greatest common factor of i and 15? 15 Let f = 4 + 19. Calculate the greatest common factor of f and 115. 23 Let c(k) be the second derivative of k**3/2 - 6*k**2 + 3*k. Let j be c(8). Calculate the highest common divisor of 108 and j. 12 Let y(n) = -n**3 + 8*n**2 + 6*n - 6. Let f be y(8). Let h = f + -18. What is the highest common divisor of h and 6? 6 Let o be 14/4 + (-2)/(-4). Suppose 3*l - o = 2. Calculate the highest common factor of 1 and l. 1 Let n = -12 + 22. Suppose 2*b = -0*b + n. Suppose 4*t + 12 = 0, 4*r + 2*t - 91 = -t. What is the greatest common divisor of r and b? 5 Suppose -4*k + g = -k - 113, 4*g = 2*k - 62. Calculate the greatest common divisor of k and 3. 3 Suppose -4*g + 29 + 39 = 0. Let n = 51 + 0. Calculate the greatest common divisor of g and n. 17 Suppose -5*w + 0*w - 5*c = -455, w - c = 85. What is the highest common divisor of w and 44? 44 Suppose -3*s = s - 8. Let q be 1 - 7/((-14)/30). Calculate the highest common divisor of s and q. 2 Let s(i) = -i**2 + 11*i + 6. Let w be s(9). What is the highest common divisor of 12 and w? 12 Let c be 3 + (4 - 2)/2. Let h be (60/(-16))/(3/(-8)). Let r be 1 + 1 - h/(-5). What is the greatest common divisor of c and r? 4 Suppose 5*x = x + 20. Suppose x*s = 2*s + 9. Suppose -5*o = -s*p - 46, -14 = -2*o + 2*p - 3*p. What is the greatest common factor of o and 56? 8 Let g be 12/(-20) + 526/10. Suppose -g = 4*m - 4. Let n = 22 + m. Calculate the highest common divisor of n and 40. 10 Let s be (1 - (5 - 3))*0. Let b be 2 + s + 5 + 3. Calculate the greatest common factor of 20 and b. 10 Let y = 33 - 25. Calculate the highest common divisor of y and 40. 8 Suppose -7*k + 4*k + 132 = 0. Let g = 18 - -5. Suppose 4*y - g = -5*d, y + y - k = 4*d. What is the highest common divisor of 48 and y? 12 Let l(g) = -g**3 + g**2 + 4*g - 1. Let w be l(-3). What is the greatest common divisor of w and 69? 23 Suppose -4*t + 254 = -3*f, -2*t - 5*f + 205 = t. What is the highest common factor of t and 26? 13 Let c be 1*-2*(-282)/6. Let m = -59 + c. Let h = -18 + m. Calculate the highest common factor of h and 51. 17 Suppose -5*u - 2 = -4*j, 0 = -2*u - 3*u - 5*j + 25. Let l(i) = 4*i - 2 + 2*i**3 - 3*i**2 - i - i. Let r be l(u). What is the greatest common factor of r and 66? 6 Let n(z) = -z**3 - z**2 + z - 6. Let i be n(-3). Calculate the greatest common factor of i and 9. 9 Suppose 0 = 5*b + 10, 0 = 5*p - 2*b - 49 - 0. Let t be (20/(-6))/((-2)/p). Suppose -9 = -0*v - 3*v. What is the greatest common divisor of v and t? 3 Suppose 6*b - 104 - 112 = 0. Suppose -3*o + 10 = -26. Calculate the highest common factor of b and o. 12 Suppose 0 = -4*i + 52 + 92. What is the greatest common divisor of i and 54? 18 Let q be (-464)/(-6) + (-1)/3. Suppose 45 = 3*p - w + 4*w, -14 = -2*p + 2*w. Calculate the greatest common divisor of q and p. 11 Let c be (-620)/(-14) - 8/28. What is the highest common factor of 11 and c? 11 Let x = 71 - 33. Let j be -2 + (-4)/((-12)/177). What is the greatest common divisor of j and x? 19 Let m be 35 + -1 + (6 - 12). Suppose -6 = -u - 3, n - u - 67 = 0. What is the highest common divisor of m and n? 14 Suppose -9*u + 20 = 4*h - 12*u, 60 = 5*h + 5*u. What is the highest common factor of 152 and h? 8 Suppose 4*y = 5 + 11. Suppose 2 + 4 = -3*b + 5*z, -5*b + y*z = 10. Let c be ((-11)/4)/(b/24). Calculate the greatest common factor of c and 22. 11 Let c be 186 + 3/1 + -2. Let k = 262 - c. Calculate the greatest common factor of 15 and k. 15 Let h be (-2)/9 - 870/(-27). What is the highest common factor of 8 and h? 8 Let w(v) = v**2 + 11*v + 16. Let n be w(-11). What is the greatest common factor of 272 and n? 16 Suppose -3*m - 15 = -3*t, 5*t - 5*m - 23 = t. Let a be 2 + (t - 1) + -1. What is the greatest common factor of a and 2? 2 Let t = 25 - 10. Let q = -3 + 1. Let v be (4/(-6))/(q/t). What is the highest common factor of 20 and v? 5 Let r be ((-35*6)/(-6))/((-2)/4). Suppose 8*x = 3*x - 65. Let l = x - r. What is th
{ "pile_set_name": "DM Mathematics" }
11707. 256 Calculate the remainder when 264179 is divided by 16101. 6563 What is the remainder when 29267 is divided by 6657? 2639 Calculate the remainder when 20303371 is divided by 1437. 1435 What is the remainder when 2655313 is divided by 157? 129 Calculate the remainder when 39340447 is divided by 967. 953 What is the remainder when 87657796 is divided by 2746? 2730 Calculate the remainder when 5389688 is divided by 1796558. 14 What is the remainder when 3775260 is divided by 13580? 20 What is the remainder when 3267707 is divided by 1633838? 31 Calculate the remainder when 113058 is divided by 1345. 78 What is the remainder when 3454205 is divided by 265694? 183 What is the remainder when 809274 is divided by 433? 430 What is the remainder when 7286791 is divided by 254? 39 What is the remainder when 14731189 is divided by 186? 175 What is the remainder when 116258026 is divided by 7? 3 Calculate the remainder when 107967 is divided by 52. 15 What is the remainder when 3779474 is divided by 654? 8 What is the remainder when 144113 is divided by 28491? 1658 Calculate the remainder when 4265694 is divided by 1421895. 9 What is the remainder when 825003 is divided by 6875? 3 What is the remainder when 309813 is divided by 789? 525 Calculate the remainder when 125823 is divided by 3570. 873 Calculate the remainder when 9845006 is divided by 270. 266 What is the remainder when 1036948 is divided by 517577? 1794 Calculate the remainder when 10269742 is divided by 2567369. 266 Calculate the remainder when 23389934 is divided by 810. 374 What is the remainder when 1367538 is divided by 56960? 498 What is the remainder when 2083312 is divided by 694436? 4 Calculate the remainder when 5469663 is divided by 482. 409 What is the remainder when 8714087 is divided by 61? 54 What is the remainder when 42303961 is divided by 5171? 10 Calculate the remainder when 13764576 is divided by 52138. 144 Calculate the remainder when 1235874 is divided by 411941. 51 Calculate the remainder when 3389081 is divided by 604. 37 Calculate the remainder when 65477627 is divided by 1583. 1581 What is the remainder when 2519672 is divided by 72? 32 Calculate the remainder when 25244879 is divided by 338. 335 Calculate the remainder when 681212 is divided by 50. 12 Calculate the remainder when 2570733 is divided by 1933. 1776 What is the remainder when 417909986 is divided by 33? 32 Calculate the remainder when 152230 is divided by 2927. 26 Calculate the remainder when 9750581 is divided by 278. 9 Calculate the remainder when 6674163 is divided by 288. 51 What is the remainder when 2906129 is divided by 5063? 5030 Calculate the remainder when 142579 is divided by 70736. 1107 What is the remainder when 1717836 is divided by 1598? 1584 Calculate the remainder when 19758 is divided by 1875. 1008 Calculate the remainder when 4806702 is divided by 356. 346 What is the remainder when 240462 is divided by 40? 22 What is the remainder when 44504 is divided by 1764? 404 Calculate the remainder when 293256 is divided by 4968. 144 What is the remainder when 10308243 is divided by 809? 774 What is the remainder when 105028280 is divided by 942? 932 What is the remainder when 30920139 is divided by 84? 75 Calculate the remainder when 5620350 is divided by 23815. 10 What is the remainder when 1964072 is divided by 147? 5 What is the remainder when 48396654 is divided by 154? 152 Calculate the remainder when 554480 is divided by 623. 10 Calculate the remainder when 64041 is divided by 6592. 4713 Calculate the remainder when 1752805 is divided by 3541. 10 What is the remainder when 4320172 is divided by 120004? 28 Calculate the remainder when 49193249 is divided by 125. 124 What is the remainder when 31192721 is divided by 22? 21 What is the remainder when 249109640 is divided by 42? 38 What is the remainder when 285601 is divided by 35699? 9 Calculate the remainder when 2010304 is divided by 149. 145 What is the remainder when 3780940 is divided by 161? 16 Calculate the remainder when 8222 is divided by 2228. 1538 What is the remainder when 28270 is divided by 1130? 20 What is the remainder when 1330920 is divided by 470? 350 What is the remainder when 3978406 is divided by 34? 32 Calculate the remainder when 1026361 is divided by 1025266. 1095 Calculate the remainder when 6240250 is divided by 306. 298 Calculate the remainder when 25954240 is divided by 3670. 0 Calculate the remainder when 767261 is divided by 30689. 36 Calculate the remainder when 3124287 is divided by 6. 3 Calculate the remainder when 10044140 is divided by 3348037. 29 Calculate the remainder when 5538 is divided by 2403. 732 Calculate the remainder when 412141 is divided by 1067. 279 Calculate the remainder when 23896 is divided by 1916. 904 What is the remainder when 537471 is divided by 35829? 36 What is the remainder when 3736635 is divided by 4175? 10 Calculate the remainder when 986032 is divided by 2760. 712 Calculate the remainder when 209321 is divided by 189. 98 What is the remainder when 113450 is divided by 28234? 514 Calculate the remainder when 51493406 is divided by 206. 204 Calculate the remainder when 2464316 is divided by 33. 8 Calculate the remainder when 95716 is divided by 15. 1 What is the remainder when 3111716 is divided by 20? 16 Calculate the remainder when 163589830 is divided by 3647. 3645 Calculate the remainder when 49996 is divided by 45699. 4297 Calculate the remainder when 13499805 is divided by 28. 25 Calculate the remainder when 420942 is divided by 5927. 125 What is the remainder when 18945081 is divided by 2105006? 27 Calculate the remainder when 4626838 is divided by 46. 20 Calculate the remainder when 99122 is divided by 99091. 31 What is the remainder when 227323625 is divided by 122217? 5 Calculate the remainder when 60052 is divided by 1228. 1108 What is the remainder when 538444737 is divided by 1308? 1305 Calculate the remainder when 76119 is divided by 65. 4 Calculate the remainder when 243190 is divided by 8385. 25 What is the remainder when 5900990 is divided by 36? 14 Calculate the remainder when 47808 is divided by 78. 72 What is the remainder when 2625119 is divided by 41? 12 What is the remainder when 411543 is divided by 97? 69 What is the remainder when 40095462 is divided by 4863? 27 Calculate the remainder when 3627297 is divided by 9647. 25 What is the remainder when 254593856 is divided by 533? 10 What is the remainder when 189640 is divided by 21061? 91 Calculate the remainder when 552147 is divided by 2580. 27 Calculate the remainder when 4119654 is divided by 405. 399 What is the remainder when 911952 is divided by 30395? 102 What is the remainder when 243004642 is divided by 373? 364 Calculate the remainder when 217154 is divided by 7306. 5280 What is the remainder when 69126743 is divided by 89? 87 What is the remainder when 1752952 is divided by 504? 40 What is the remainder when 123139 is divided by 849? 34 What is the remainder when 17205989 is divided by 189? 185 What is the remainder when 2499158 is divided by 6902? 634 What is the remainder when 226687 is divided by 1644? 1459 Calculate the remainder when 96674980 is divided by 30468. 16 What is the remainder when 2809429 is divided by 721? 413 What is the remainder when 37057 is divided by 859? 120 Calculate the remainder when 13383 is divided by 769. 310 What is the remainder when 85012197 is divided by 54? 51 Calculate the remainder when 33215 is divided by 16484. 247 Calculate the remainder when 274071 is divided by 18. 3 Calculate the remainder when 13788602 is divided by 1723561. 114 Calculate the remainder when 84787 is divided by 2228. 123 What is the remainder when 544320 is divided by 136044? 144 What is the remainder when 153246 is divided by 21886? 44 What is the remainder when 2038874 is divided by 1314? 860 Calculate the remainder when 51492273 is divided by 18. 15 Calculate the remainder when 79720574 is divided by 18. 14 Calculate the remainder when 4435927 is divided by 52187. 32 What is the remainder when 7517831 is divided by 20825? 6 What is the remainder when 174005 is divided by 19167? 1502 What is the remainder when 5256782 is divided by 2628351? 80 What is the remainder
{ "pile_set_name": "DM Mathematics" }
erm in -135, -119, -103, -87? -71 What comes next: 3135, 3141, 3151, 3165, 3183, 3205? 3231 What is next in 86, 364, 834, 1502, 2374, 3456, 4754? 6274 What is next in 89, 172, 255, 338, 421? 504 What is next in -105, -421, -939, -1653, -2557? -3645 What is the next term in -595, -1177, -1759? -2341 What comes next: 28, 32, 24, -2, -52? -132 What comes next: 95, 78, 51, 8, -57, -150? -277 What comes next: 158, 155, 154, 155? 158 What comes next: 1491, 2983, 4477, 5973, 7471? 8971 What comes next: 842, 1680, 2520, 3362? 4206 What is next in -4, -32, -90, -184, -320, -504, -742, -1040? -1404 What comes next: 86, 175, 274, 383, 502, 631? 770 What is the next term in -41, -71, -111, -167, -245? -351 What is the next term in -30, -52, -66, -66, -46, 0, 78? 194 What is the next term in 57, 122, 201, 300, 425, 582? 777 What is next in 11, 16, 11, -10, -53, -124? -229 What is next in -32, -58, -82, -104, -124, -142? -158 What comes next: -213, -191, -169, -147, -125? -103 What is next in 269, 496, 725, 956, 1189, 1424, 1661? 1900 What is next in -16, -33, -50, -67? -84 What comes next: 1071, 4280, 9629, 17118? 26747 What is next in 316, 628, 940? 1252 What comes next: -31, -60, -89, -118, -147, -176? -205 What is the next term in -6, -13, -26, -45, -70, -101, -138? -181 What is next in 28, -8, -76, -182, -332? -532 What is the next term in 1208, 1192, 1166, 1124, 1060? 968 What is next in -40, -76, -98, -100, -76, -20, 74, 212? 400 What comes next: -204, -778, -1734, -3072, -4792, -6894, -9378? -12244 What is next in -26, -115, -204? -293 What is the next term in 190, 369, 562, 775, 1014, 1285, 1594, 1947? 2350 What comes next: -81, -53, -7, 57, 139? 239 What is next in 43, 56, 69, 82? 95 What is the next term in 165, 332, 499, 666, 833, 1000? 1167 What comes next: 2995, 5991, 8987, 11983, 14979? 17975 What comes next: 1187, 2405, 3621, 4835, 6047? 7257 What is next in 4180, 16713, 37602, 66847, 104448, 150405? 204718 What comes next: -3, 2, 27, 84, 185, 342? 567 What is next in 133, 270, 419, 586, 777, 998, 1255? 1554 What is next in -16, -103, -248, -451, -712, -1031? -1408 What comes next: 22, 122, 288, 520? 818 What comes next: -9, -118, -409, -972, -1897, -3274, -5193? -7744 What is the next term in 1894, 1901, 1920, 1957, 2018, 2109, 2236? 2405 What comes next: 162, 315, 490, 699, 954, 1267, 1650? 2115 What comes next: -22, -23, -16, 5, 46? 113 What is the next term in 19, 39, 41, 13, -57, -181, -371, -639? -997 What is the next term in -71, -69, -67, -65, -63, -61? -59 What comes next: -2746, -2747, -2748, -2749, -2750, -2751? -2752 What comes next: -36, -26, -10, 12, 40? 74 What is next in -1088, -2232, -3388, -4562, -5760, -6988? -8252 What comes next: 151, 149, 149, 151, 155, 161? 169 What is the next term in 56, 53, 50, 47, 44, 41? 38 What comes next: 374, 375, 376, 377, 378? 379 What comes next: -2215, -2209, -2203? -2197 What is next in 194, 174, 128, 44, -90, -286, -556, -912? -1366 What is next in 114, 236, 372, 528, 710, 924, 1176? 1472 What is the next term in 18, 32, 46, 60, 74? 88 What comes next: -364, -370, -376? -382 What is next in -179, -365, -551, -737, -923, -1109? -1295 What is the next term in 21, 156, 379, 690, 1089? 1576 What comes next: -32, -20, 6, 52, 124, 228, 370? 556 What is next in 332, 1339, 3008, 5333, 8308, 11927, 16184? 21073 What comes next: -70, -69, -66, -61, -54? -45 What is the next term in -71, -596, -2019, -4790, -9359? -16176 What comes next: 43, 166, 371, 652, 1003, 1418, 1891, 2416? 2987 What is the next term in 60, 52, 40, 24, 4, -20? -48 What is the next term in -64, -42, -20, 2, 24, 46? 68 What comes next: 25, 82, 169, 280, 409, 550, 697? 844 What comes next: 25, 38, 65, 112, 185, 290? 433 What is next in -117, -125, -139, -159, -185? -217 What comes next: 67, 300, 701, 1276, 2031? 2972 What comes next: 27, 98, 257, 540, 983? 1622 What is next in 270, 271, 272? 273 What comes next: 7, -73, -197, -359, -553, -773, -1013? -1267 What comes next: -501, -503, -505, -507, -509? -511 What comes next: 192, 358, 530, 708, 892, 1082, 1278? 1480 What comes next: 439, 1697, 3795, 6733, 10511, 15129, 20587? 26885 What is next in 35, 42, 59, 92, 147, 230, 347, 504? 707 What comes next: 2448, 2446, 2444? 2442 What is next in 94, 97, 114, 151, 214, 309? 442 What comes next: 1630, 3256, 4882, 6508? 8134 What is the next term in -203, -239, -299, -383, -491? -623 What is next in 12355, 12354, 12353? 12352 What is next in -18, -53, -112, -195, -302, -433? -588 What is the next term in -51, -214, -501, -918, -1471, -2166, -3009, -4006? -5163 What is the next term in -54, -38, -12, 30, 94, 186, 312? 478 What comes next: 525, 1051, 1577? 2103 What comes next: 659, 658, 657, 656, 655, 654? 653 What is the next term in -22, -36, -62, -106, -174, -272? -406 What is the next term in -89, -155, -221? -287 What is next in -119, -266, -413, -560? -707 What is the next term in 687, 688, 689, 690, 691? 692 What comes next: -23, -44, -69, -98, -131, -168, -209? -254 What is the next term in -84, -80, -76, -72, -68, -64? -60 What comes next: -3113, -3111, -3109, -3107, -3105, -3103? -3101 What is next in -70, -125, -172, -205, -218, -205, -160? -77 What comes next: 8268, 8270, 8272, 8274, 8276, 8278? 8280 What is next in 184, 349, 498, 625, 724, 789, 814? 793 What is the next term in 17, -24, -123, -280? -495 What is the next term in -664, -2669, -6012, -10693, -16712? -24069 What is next in 2200, 2193, 2182, 2167, 2148, 2125, 2098? 2067 What is the next term in 21, 58, 95, 132, 169? 206 What is next in -265, -270, -277, -286, -297? -310 What comes next: -32, -68, -110, -164, -236? -332 What is next in 9, 25, 41, 57, 73? 89 What is the next term in -4, -18, -32, -40, -36, -14? 32 What comes next: 153, 305, 457, 609, 761? 913 What is next in 86, 361, 818, 1457? 2278 What is next in 119, 95, 23, -121, -361, -721? -1225 What is next in 70, 79, 88, 97? 106 What is next in 6, -1, -8, -9, 2? 31 What is the next term in 27, -12, -49, -84, -117, -148, -177? -204 What is the next term in -9, -229, -845, -2055, -4057, -7049, -11229, -16795? -23945 What is next in 17, 16, 17, 20, 25, 32? 41 What is next in 198, 393, 576, 741, 882? 993 What is next in -221, -185, -75, 145, 511, 1059, 1825? 2845 What is next in -131, -130, -129, -128? -127 What is the next term in 2, -13, -44, -97, -178, -293, -448, -649? -902 What is next in -12, -22, -38, -60? -88 What comes next: 164, 655, 1472, 2615, 4084? 5879 What comes next: 716, 729, 758, 809, 888, 1001, 1154? 1353 What comes next: 288, 1185, 2686, 4797, 7524, 10873, 14850? 19461 What comes next: -93, -82, -71? -60 What is the next term in -179, -188, -209, -248, -311, -404, -533, -704? -923 What is next in -320, -638, -956? -1274 What is next in 1047, 1045, 1043? 1041 What comes next: -3201, -3208, -3215, -3222? -3229 What is next in 96, 99, 102? 105 What is the next term in -23, -6, 37, 118, 249, 442, 709? 1062 What comes next: -36, -72, -96, -102, -84, -36? 48 What is the next term in 632, 1268, 1914, 2576, 3260, 3972? 4718 What is the next term in 12, 18, 12, -12, -60? -138 What comes next: -52, -67, -108, -187, -316, -507, -772, -1123? -1572 What is next in -375, -726, -1077? -1428 What is next in -64, -51, -14, 59, 180, 361? 614 What is next in -474, -949, -1424, -1899? -2374 What comes next: -8, 6, 24, 46? 72 What is next in -34, -85, -228, -511, -982, -1689, -2680, -4003? -5706 What is next in -79, -177, -287, -415, -567, -749, -967, -1227? -1535 What is the next term in -5, -29, -71, -131, -209, -305? -419 What is the next term in -7, 8, 1, -40, -127, -272, -487? -784 What comes next: 792, 1578, 2364? 3150 What is next in -30, -10, 24, 78, 158? 270 What is the next term in -5, 31, 131, 325, 643? 1115 What is the next term in -112, -109, -94, -61, -4, 83? 206 What is next in -28, -124, -286, -514, -808, -1168, -1594? -2086 What comes next: 61, 91, 119, 145? 169 What comes next: -102, -236, -388, -564, -770, -1012, -1296? -1628 What comes next: -273, -133, 109, 459, 923, 1507, 2217? 3059 What is the next term in -38, -60, -120, -236, -426, -708? -1100 What comes next: -1, -21, -67, -151, -285? -481 What is the next term in 37, 190, 453, 832, 1333, 1962, 2725, 3628? 4677 What is the next term
{ "pile_set_name": "DM Mathematics" }
891393? 1 What is the units digit of 535937? 7 What is the tens digit of 1118234? 3 What is the tens digit of 8951849? 4 What is the hundreds digit of 3926961? 9 What is the thousands digit of 13198394? 8 What is the hundreds digit of 38483? 4 What is the thousands digit of 414282? 4 What is the millions digit of 1614770? 1 What is the millions digit of 4031596? 4 What is the units digit of 132216? 6 What is the hundreds digit of 56251? 2 What is the hundred thousands digit of 161670? 1 What is the hundreds digit of 1548739? 7 What is the thousands digit of 1487800? 7 What is the hundreds digit of 27046? 0 What is the ten millions digit of 25352141? 2 What is the thousands digit of 1626231? 6 What is the thousands digit of 1070844? 0 What is the units digit of 11541939? 9 What is the ten thousands digit of 6816635? 1 What is the thousands digit of 3369971? 9 What is the hundred thousands digit of 7179986? 1 What is the ten thousands digit of 207781? 0 What is the hundreds digit of 1006332? 3 What is the hundreds digit of 52501? 5 What is the hundreds digit of 6630529? 5 What is the tens digit of 3367373? 7 What is the units digit of 96350? 0 What is the hundreds digit of 926326? 3 What is the units digit of 9943459? 9 What is the ten millions digit of 10369142? 1 What is the hundred thousands digit of 5101545? 1 What is the units digit of 40832591? 1 What is the units digit of 1256458? 8 What is the tens digit of 271308? 0 What is the thousands digit of 10030465? 0 What is the units digit of 261766? 6 What is the thousands digit of 42416? 2 What is the millions digit of 7920637? 7 What is the thousands digit of 109977? 9 What is the thousands digit of 5161394? 1 What is the ten thousands digit of 69135? 6 What is the tens digit of 408960? 6 What is the hundreds digit of 3741173? 1 What is the units digit of 26407704? 4 What is the ten thousands digit of 1190945? 9 What is the units digit of 209293? 3 What is the ten thousands digit of 1103147? 0 What is the tens digit of 322948? 4 What is the hundreds digit of 1106699? 6 What is the ten thousands digit of 90571? 9 What is the hundreds digit of 2436598? 5 What is the hundreds digit of 8416838? 8 What is the tens digit of 518546? 4 What is the hundreds digit of 241423? 4 What is the units digit of 2332427? 7 What is the units digit of 50416? 6 What is the units digit of 155250? 0 What is the thousands digit of 3093811? 3 What is the units digit of 1770668? 8 What is the units digit of 2408457? 7 What is the tens digit of 247441? 4 What is the tens digit of 2928770? 7 What is the hundreds digit of 75132? 1 What is the units digit of 2809397? 7 What is the ten thousands digit of 3037522? 3 What is the ten thousands digit of 233953? 3 What is the tens digit of 182244? 4 What is the thousands digit of 789454? 9 What is the tens digit of 330877? 7 What is the ten thousands digit of 2765341? 6 What is the ten thousands digit of 83913? 8 What is the tens digit of 241474? 7 What is the ten thousands digit of 1839145? 3 What is the thousands digit of 20206429? 6 What is the units digit of 2892874? 4 What is the hundreds digit of 1964275? 2 What is the hundreds digit of 2264481? 4 What is the hundreds digit of 3427786? 7 What is the thousands digit of 921581? 1 What is the ten thousands digit of 419567? 1 What is the hundreds digit of 2420302? 3 What is the thousands digit of 8783087? 3 What is the hundreds digit of 3145805? 8 What is the tens digit of 633567? 6 What is the thousands digit of 14322712? 2 What is the units digit of 1841805? 5 What is the hundred thousands digit of 220099? 2 What is the hundred thousands digit of 5442969? 4 What is the millions digit of 2218179? 2 What is the tens digit of 9078859? 5 What is the tens digit of 2534298? 9 What is the millions digit of 3675213? 3 What is the ten millions digit of 39627144? 3 What is the ten thousands digit of 150110? 5 What is the millions digit of 1582240? 1 What is the millions digit of 1727802? 1 What is the tens digit of 556212? 1 What is the units digit of 5226695? 5 What is the ten thousands digit of 855663? 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5 What is the tens digit of 12379089? 8 What is
{ "pile_set_name": "DM Mathematics" }
(g) = -g**3 + g**2 + g. Let x(s) = 2*a(s) - 18*u(s). Solve x(v) = 0. -2, -1, 2/5 Let q(m) be the first derivative of 0*m - 1/5*m**5 + 0*m**2 + 1/2*m**4 - 1/3*m**3 - 2. Factor q(p). -p**2*(p - 1)**2 Let w = 11 - 9. Factor -h**2 + 16*h**3 - 15*h**3 + w + 5*h + 5*h**2 + 0. (h + 1)**2*(h + 2) Let i = -167/8 + 21. Let k(m) be the first derivative of -i*m**4 + 1/24*m**6 - 1/4*m + 1/8*m**2 - 1/20*m**5 + 1/6*m**3 + 1. Suppose k(z) = 0. Calculate z. -1, 1 Suppose -5 = -3*b + p, -p - 27 = -2*b - 24. Factor 12/7*u + 18/7 + 2/7*u**b. 2*(u + 3)**2/7 Suppose -8*r = -18 - 6. Factor -5/4*d**4 + 0*d**r + 5/2*d**2 + 5/2*d + 3/4 - 1/2*d**5. -(d + 1)**4*(2*d - 3)/4 Let z(u) be the first derivative of -11/3*u**3 + 0*u - 1/2*u**4 + 4 + 1/2*u**2. Let r(s) = -3*s**3 - 21*s**2 + 2*s. Let g(x) = -6*r(x) + 11*z(x). Factor g(h). -h*(h - 1)*(4*h - 1) Let c(z) = -30*z**3 + 21*z**2 + 9*z + 24. Let b(h) = 6*h**3 - 4*h**2 - 2*h - 5. Let l(p) = -24*b(p) - 5*c(p). Factor l(k). 3*k*(k - 1)*(2*k - 1) Suppose 0 = 36*a - 48*a. Factor 2/7*i**2 + 4/7*i + a. 2*i*(i + 2)/7 Let a(v) be the second derivative of -v**8/1176 + v**6/210 - v**4/84 - v**2 - 2*v. Let d(l) be the first derivative of a(l). Solve d(h) = 0. -1, 0, 1 Let l be 3*4/4 + 0. Let x(g) be the second derivative of 3*g + 0 + 0*g**l + 1/24*g**4 + 0*g**2. Suppose x(h) = 0. Calculate h. 0 Suppose 3*p + 5*t = 6*p - 1, 0 = 2*p + 3*t - 7. Suppose 4*a + 2*a**2 + 12*a**2 - 4*a**p = 0. What is a? -2/5, 0 Let u(b) be the second derivative of -b**4/30 + b**3/5 - 2*b**2/5 + 37*b. What is m in u(m) = 0? 1, 2 Let g(r) be the second derivative of r**5/180 + r**4/18 + 2*r**3/9 - 9*r**2/2 - 2*r. Let s(d) be the first derivative of g(d). Factor s(t). (t + 2)**2/3 Let r(u) be the third derivative of -u**5/42 - u**4/42 - 9*u**2. Let r(d) = 0. Calculate d. -2/5, 0 Suppose -4*y - 18 = w, 4*w + 0*y - 13 = y. Let s(f) be the first derivative of 2/3*f**3 - w*f + f**2 - 1/2*f**4 + 1. Suppose s(p) = 0. Calculate p. -1, 1 Let n(j) = 15*j**2 - 16*j - 24. Let c(i) be the third derivative of 7*i**5/60 - i**4/3 - 2*i**3 - 6*i**2. Let r(k) = -7*c(k) + 3*n(k). Solve r(q) = 0. -1, 3 Solve 6/5*i**2 - 9/5*i**3 - 9/5*i**4 + 0 + 6/5*i**5 + 0*i = 0 for i. -1, 0, 1/2, 2 Let b be (-2)/(-8)*(-4)/(-20). Let j(o) be the second derivative of 1/12*o**4 + 0*o**2 + 0 - 3*o + 1/6*o**3 - b*o**5 - 1/30*o**6. What is k in j(k) = 0? -1, 0, 1 Let v(s) be the first derivative of 2*s**5/5 + s**4/2 - 2*s**3/3 - s**2 - 5. Solve v(p) = 0 for p. -1, 0, 1 Suppose 4*j + 7*j**2 + j**2 + 0*j + 4*j**3 = 0. Calculate j. -1, 0 Let h(p) be the second derivative of -p**7/175 - p**6/150 - 3*p**2/2 + 4*p. Let i(o) be the first derivative of h(o). Factor i(n). -2*n**3*(3*n + 2)/5 Determine f so that 9 - 15/2*f - 3/2*f**2 = 0. -6, 1 Let u = -11 + 15. Suppose u*v = 4, 2*v - 2 = -5*c + 20. Factor -28*n**4 + 30*n**5 + 37*n**5 + c*n**3 - 18*n**5. n**3*(7*n - 2)**2 Let j(g) = 2*g**3 - 10*g**2 + 2*g. Suppose 0 = -3*a + 2*f + 3, -f = 4*a - 2 - 2. Let v(k) = -k**2. Let r(i) = a*j(i) - 6*v(i). Factor r(m). 2*m*(m - 1)**2 Suppose 10/7*i**2 - 4/7 + 6/7*i = 0. Calculate i. -1, 2/5 Let k(b) be the first derivative of 2*b**6/3 + 4*b**5/5 - b**4 - 4*b**3/3 + 6. Let k(x) = 0. What is x? -1, 0, 1 Factor 29 - 15 + z**3 - 4*z**2 + 4*z + z - 16. (z - 2)*(z - 1)**2 Let f(t) = -61*t**2 + 19*t + 5. Let d(x) = -41*x**2 + 13*x + 3. Let o(l) = 7*d(l) - 5*f(l). Let p(s) = s**2 - s. Let b(g) = o(g) - 6*p(g). Factor b(z). 2*(2*z - 1)*(3*z + 2) Let n be (-5)/(-70)*2*4. Factor 0 + 2/7*j**3 + n*j + 6/7*j**2. 2*j*(j + 1)*(j + 2)/7 Let d(k) be the first derivative of k**4/8 - k**3/3 + k**2/4 + 4. Suppose d(l) = 0. Calculate l. 0, 1 Let y(k) be the third derivative of -k**7/1995 + 7*k**6/570 - 61*k**5/570 + 7*k**4/19 - 12*k**3/19 + 19*k**2. Factor y(z). -2*(z - 6)**2*(z - 1)**2/19 Let t(h) be the third derivative of 1/5*h**5 - h**3 + 0 - 2*h**2 + 1/8*h**4 + 1/112*h**8 - 1/20*h**6 + 0*h - 1/35*h**7. Suppose t(a) = 0. What is a? -1, 1, 2 Let h(s) = s**2 - 7*s. Let k be h(7). Let y(v) be the third derivative of -v**2 + k*v - 1/18*v**4 + 0 - 1/90*v**5 - 1/9*v**3. Determine w, given that y(w) = 0. -1 Let i(u) = u**3 + 4*u**2 + 5*u + 4. Let t be i(-3). Let g(a) = -a. Let f be g(t). Factor -2 + 2 + d**f + d. d*(d + 1) Suppose 5*k + 42 = -3*t, -3 = -2*k + k. Let w = 23 + t. What is a in 4/5*a**2 + 0*a - 2/5*a**3 - 2/5*a**w + 0 = 0? -2, 0, 1 Let d(u) be the first derivative of u**5/30 - u**4/24 - u**3/6 + u**2/12 + u/3 + 6. Factor d(b). (b - 2)*(b - 1)*(b + 1)**2/6 Let u(z) = -z**2 - 1. Let i(b) = -10*b**2 - 4*b - 4. Let j(q) = -2*i(q) + 18*u(q). Factor j(l). 2*(l - 1)*(l + 5) Factor 0*i - 3/7*i**2 + 3/7*i**3 + 0. 3*i**2*(i - 1)/7 Let c(f) = f**4 - f**3 - 4*f + 2. Let g(j) = -j**4 - j**3 - 1. Let h(o) = c(o) + 2*g(o). Let x(z) = z**3 + z. Let k(n) = -h(n) - 4*x(n). Factor k(i). i**3*(i - 1) Let u be 1 + -1 - (-2 + 3). Let l(b) = -b**2 - 7*b - 6. Let h(a) be the second derivative of a**3/6 + a**2/2 - 3*a. Let t(p) = u*l(p) - 6*h(p). Factor t(c). c*(c + 1) Let c(z) = -2*z + 36. Let n be c(0). Factor -12*l + n*l + 3*l**3 + 12 + 6*l**2 + 9*l**2. 3*(l + 1)*(l + 2)**2 Suppose 5*v = 4*x - 9, 3 = 4*x - 3*v + 4. Let b be (x/40)/(2/(-4)). Solve 1/5 + 4/5*u + 6/5*u**2 + b*u**4 + 4/5*u**3 = 0. -1 Let p be (-2)/(-4) + (-12)/(-8). Factor 0*a**p - 10*a**4 + 11*a**4 - a**2. a**2*(a - 1)*(a + 1) Let t = -156 - -158. Suppose 2*f - 1/2*f**2 - t = 0. What is f? 2 Let p(r) be the first derivative of -r**9/7560 + r**7/2100 + 4*r**3/3 - 6. Let i(x) be the third derivative of p(x). Factor i(b). -2*b**3*(b - 1)*(b + 1)/5 Factor -2/7*x**4 + 0*x**2 - 8/7*x + 0 + 6/7*x**3. -2*x*(x - 2)**2*(x + 1)/7 Let w(q) be the third derivative of -q**6/12 - 7*q**5/30 - q**4/6 - 5*q**2. Determine k so that w(k) = 0. -1, -2/5, 0 Let f(k) be the second derivative of 20*k**7/21 - 74*k**6/15 + 52*k**5/5 - 34*k**4/3 + 20*k**3/3 - 2*k**2 - 3*k. Solve f(i) = 0. 1/5, 1/2, 1 Let h(n) be the second derivative of -n**6/165 - n**5/110 + 5*n**4/66 - n**3/11 + 13*n. Factor h(d). -2*d*(d - 1)**2*(d + 3)/11 Suppose 2*d = 5*w - 10, 0*d - 4*d = -4*w - 4. Factor 9*a**2 + 2*a + 0 + 15/2*a**3 - 25/4*a**w. -a*(a - 2)*(5*a + 2)**2/4 Let s(j) be the third derivative of j**9/181440 - j**8/60480 - j**7/3780 + j**6/540 - j**5/12 + 4*j**2. Let x(g) be the third derivative of s(g). Factor x(l). (l - 2)*(l - 1)*(l + 2)/3 Factor 3/2*w - 1 - 1/2*w**2. -(w - 2)*(w - 1)/2 Let a be (-14)/49 + 16/7. Solve -2/5*b**4 + 2/5*b**3 + 4/5 - a*b + 6/5*b**2 = 0. -2, 1 Find i, given that 28*i**5 + 51*i**3 + 4*i**4 - 48*i - 17*i**5 - 14*i**5 - 13*i**4 - 27*i**2 + 36 = 0. -6, -1, 1, 2 Let v(b) be the second derivative of -b**5/75 - 3*b**4/40 - b**3/15 - 5*b**2/2 - 4*b. Let n(z) be the first derivative of v(z). Factor n(d). -(d + 2)*(4*d + 1)/5 Let h(c) be the second derivative of c**6/480 + c**5/120 - c**4/24 + c**3/6 - 2*c. Let x(z) be the second derivative of h(z). Suppose x(v) = 0. Calculate v. -2, 2/3 Suppose -9*q = -6*q - l - 9, 18 = 3*q + 2*l. Suppose 0 + 2/9*t - 2/9*t**q - 2/9*t**3 + 2/9*t**2 = 0. What is t? -1, 0, 1 Let z = -17 - -19. Factor 6*v + 0*v**2 + v**z - 4*v**2 - 3. -3*(v - 1)**2 Suppose -p - 36 = -3*p. Let o be 2 + (-3 - p/(-5)). Let 12/5*l - o*l**2 + 6/5*l**3 - 4/5 - 1/5*l**4 = 0. What is l? 1, 2 Let o(f) be the second derivative of f**7/98 + 2*f**6/35 + 3*f**5/28 + f**4/14 - 10*f. Solve o(v) = 0. -2, -1, 0 Let h = 30 - 21. Factor 3*c**2 - h*c + 64*c**3 - 5 + 3*c**4 - 1 - 55*c**3. 3*(c - 1)*(c + 1)**2*(c + 2) Let o be -4 + (8 - (0 - -2)). Factor 0*a**3 + 1/2*a**o - 1/4 + 0*a - 1/4*a**4. -(a - 1)**2*(a + 1)**2/4 Let w(u) be the second derivative of u**6/240 - u**5/20 + 13*u**4/96 - u**3/8 - 12*u. Find d, given that w(d) = 0. 0, 1, 6 Factor 2/5*g - 12/5 + 2/5*g**2. 2*(g - 2)*(g + 3)/5 Let x(d) = 75*d**4 - 270*d**3 + 5*d**2 + 250*d - 70. Let q(r) = r**4 - r**3 - r**2 + r + 1. Let k(a) = 30*q(a) - x(a). Suppose k(c) = 0. Calculate c. -1, 2/3, 5 Let -6/5 - 3*q - 12/5*q**2 - 3/5*q**3 = 0. What is q? -2, -1 Suppose -12 = -3*t + 3. Let o(k) be the second derivative of 0*k**2 - 1/24*k**4 - 1/60*k**6 + 0 + 1/20*k**t + 0*k**3 - 3*k. Factor o(i). -i**2*(i - 1)**2/2 Let r(g) = -g**4 + 3*g**3 + 8*g**2 - 6*g - 10. Let d(o) = 4*o**4 - 8*o**3 - 25*o**2 + 19*o + 31. Let l(n) = 4*d(n) + 14*r(n). Factor l(j). 2*(j - 1)*(j +
{ "pile_set_name": "DM Mathematics" }
2)/60*8/(96/10)? -1/6 What is 16/(-12)*(6237/110)/27? -14/5 What is the value of (2/1*3)/(29/((-870)/225))? -4/5 What is the value of 30/(-650)*10/1? -6/13 What is the value of (72/(-126))/((-12)/(-14))? -2/3 Evaluate (5/(10/4)*(-36)/(-216))/(-1). -1/3 What is the value of (((-64)/400)/(6/165))/((-2)/(-5))? -11 What is the value of 136/170*(-5)/66? -2/33 What is (12/(-378))/(-2*(-25)/(-900))? 4/7 What is (-3)/(-2)*(-122)/(-183)? 1 (-14)/4*93/(-1519)*2/(-3) -1/7 What is the value of (6*(-10)/(-2520))/((-3)/(-7))? 1/18 Evaluate (2618/561)/((1/4*14)/6). 8 What is (-5)/((-55)/88*92)? 2/23 Evaluate ((-48)/(-16))/(1/(4/114)). 2/19 Evaluate ((273/28)/(-39))/(91/(-56)). 2/13 (-12)/(-462)*28*4/32 1/11 What is ((-6)/(-9))/(-8*(-3)/(-72))? -2 Evaluate (12/15)/((124/40)/(-31)). -8 What is ((108/(-50))/9)/((6/(-20))/1)? 4/5 Evaluate ((-63)/(-27))/(784/(-2016)). -6 What is the value of (63/(-15))/(168/(-140))? 7/2 Calculate (((-2288)/(-195))/(-22))/(4/(-30)*-3). -4/3 What is the value of (-1)/(((-2)/(-5))/((-3)/(300/320)))? 8 What is 4*(-116)/464*(-16)/(-2)? -8 What is (-6)/(-34)*(-8)/72*6? -2/17 (93/341)/(50/110) 3/5 Evaluate ((-78)/(-351))/((-1)/3). -2/3 What is the value of 10/5*(-1)/(-1)? 2 Calculate 1*((-1)/(-2))/((-52)/1144). -11 Evaluate (-1)/20*1380/(-69). 1 Calculate 19*18/(-684)*(-104)/(-2). -26 What is -38*(13/91)/((-10)/35)? 19 What is the value of 41*78/3198*-23*1/1? -23 ((-762)/(-112395))/(2/(-10)) -2/59 What is (55/(-330))/((-3)/594)? 33 What is the value of (-114)/209*(-132)/336? 3/14 What is the value of (15/(-45)*5)/(3/(-45))? 25 What is 1*(0/20)/(2/2*2)? 0 What is the value of (-392)/(-28)*2/(-4)? -7 Evaluate (((-42)/(-525))/(3/(-15)))/(-4). 1/10 Calculate -5*((-1)/3)/(8/72). 15 Evaluate (((-118)/(-59))/(4*1))/(3/(-2)). -1/3 Calculate ((-5)/21)/((-570)/11970). 5 What is the value of 1/(2/2)*1128/(-282)? -4 3*-3*128/(-96) 12 What is the value of (-7)/26*(1080/42)/15? -6/13 What is ((-17)/34)/((6/9)/((-8)/(-2)))? -3 What is -1*26/78*6/8? -1/4 What is the value of (-59)/(9912/630)*-2*(-2)/110? -3/22 Evaluate (-24)/39*126/168. -6/13 What is ((-320)/6)/(1352/(-507))? 20 Evaluate 4/450*3*(-1623)/541. -2/25 Calculate ((-34)/87703*-22)/(2/(-7)). -2/67 Calculate (-55)/(-165)*-2*21. -14 Calculate ((-1008)/(-104))/(-7)*13. -18 What is the value of (40*(-39)/(-104))/((-245)/(-21))? 9/7 What is (6/10)/((-20)/(-100))*9/(-3)? -9 What is ((-15)/(-70))/(6*((-25)/(-5))/105)? 3/4 Evaluate 3/((-3)/(-16)*(-33)/33). -16 Calculate (-6)/(19*54/1197). -7 What is the value of 6/3*(71/1065)/(2/(-9))? -3/5 8/(-12)*(-18)/(-3)*7/2 -14 9/(((-1)/(-3))/((-168)/756)) -6 ((-50)/(-375)*33/(-11))/(21/(-45)) 6/7 Calculate -24*((-1)/((-14)/(-7)))/(4/4). 12 Evaluate (-14)/18*-6*21/147. 2/3 Evaluate (-1)/(-6)*39*28/14. 13 What is the value of 1/(-6)*(-441)/63*(-4)/49? -2/21 Evaluate (-2)/((-441)/735*1/(-6)). -20 What is the value of ((-9)/27)/((-21)/36*1)? 4/7 Evaluate 1*10*(115/23)/(-5). -10 (378/(-504))/((-75)/(-40)) -2/5 What is the value of (-231)/165*(-36)/(-84)? -3/5 (7*44/154)/(40/((-4)/(-2))) 1/10 What is the value of (((-224)/80)/(-7))/(2/15)? 3 What is ((-1)/4*14)/(42/36)? -3 What is the value of ((-80)/260)/(9*15/(-8775))? 20 What is ((-3003)/16731)/(7/(-9))? 3/13 What is ((-532)/1862)/((4/(-16))/((-70)/(-8)))? 10 Calculate (-6083)/(-158)*3/((-189)/36). -22 What is ((-3)/(-5))/(3561/(-1187))? -1/5 Calculate (-55)/((-17)/((-170)/(-50))). 11 What is the value of ((-60)/(-35))/(88/308)? 6 (-45)/90*(-2)/2*-4 -2 What is 30/((-90)/6)*4/(-16)? 1/2 What is the value of (-5*(-2)/75)/((-7)/175*-5)? 2/3 Evaluate (((-1)/(30/(-35)))/(154/66))/2. 1/4 Evaluate -4*(-9)/(-54)*(-33)/143. 2/13 Evaluate 3/((56/(-7))/(-24)). 9 What is the value of 0/((-35)/(385/22))? 0 Calculate (3*20/(-72))/((-215)/(-172)). -2/3 Evaluate 8/8*(-7)/(42/(-78)). 13 ((-3)/((-15)/8))/(-11*48/(-3960)) 12 Calculate (-120)/(-720)*3*(-9)/12. -3/8 What is the value of (-209)/22*(-1216)/722? 16 What is (5/330*15)/((-6990)/(-2563))? 1/12 What is (-70)/(-42)*((-30)/25)/((-3)/27)? 18 What is (-7)/((-56)/36)*(-3)/54*3? -3/4 What is the value of (60/16*(-6)/(-18))/(-1)? -5/4 What is (-1872)/2340*3/8? -3/10 What is 2/13*23*14/966? 2/39 8/(-3)*(-1320)/352 10 ((-12)/5)/(-6)*(-60)/300 -2/25 What is the value of ((-60)/8)/1*49/490? -3/4 Calculate (1896/79)/(9/(-6)). -16 (6/2)/(((-270)/120)/((-6)/28)) 2/7 (-18)/(342/19)*(-3)/2 3/2 What is the value of (-3)/(-2)*(1040/2520)/(-13)? -1/21 What is the value of ((-4)/6)/(((-2)/(-6))/((-49)/1078))? 1/11 What is 1/3*2*29*30/4640? 1/8 ((-56)/21)/(-10*(-5)/25) -4/3 (208/273)/((-33)/(-154)*4) 8/9 Calculate (8/(-104))/((203/42)/(-29)). 6/13 Calculate 0/6*((-110)/(-40))/11. 0 Evaluate (55/22)/(58/(-580)). -25 What is (10/2)/(-10)*(-1)/(-4)*40? -5 ((-45)/84)/((-60)/(-160)) -10/7 What is (-1)/(-3)*5*2*(-4554)/(-1265)? 12 Evaluate (9/270)/(4/16). 2/15 Calculate 560/(-224)*1*2. -5 -30*(-1)/810*30 10/9 -11*(-2)/(-10)*20/(-20) 11/5 What is 2*((-45)/495)/(16/(-88))? 1 Calculate 14/(-7)*(-14)/(-4). -7 What is the value of ((-592)/(-666))/((-3)/(-54)*-4)? -4 What is ((-875)/(-315))/(-10*(-11)/132)? 10/3 What is the value of (18/(-16))/((-361)/(-8664))? -27 Calculate 112/12*294/196. 14 (-1536)/160*135/(-144) 9 (-10)/80*(-910)/(-195)*(-2)/7 1/6 Evaluate -3*((-42)/(-154))/3. -3/11 What is 6/20*(-45)/(-54)? 1/4 What is ((-4)/4)/((-148)/3700)? 25 Evaluate 8*(-14)/(84/(-1)). 4/3 What is (5/((-7)/(1008/(-60))))/(-1)? -12 Calculate 948/(-1264)*(-64)/3. 16 What is the value of 76*2/(256/32)? 19 (-3)/(-30)*(-755)/(-604) 1/8 11*(-51)/(-187)*((-2)/2)/(-69) 1/23 Calculate (-2457)/(-1365)*3/((-9)/5). -3 What is the value of (-6)/(-68)*(-312)/234? -2/17 Calculate ((-28)/448*-32)/(-29). -2/29 Evaluate (-39)/(-208)*(-10)/(-3)*(-768)/(-320). 3/2 Evaluate (1/128*48)/(42/32). 2/7 What is (-3)/(-252)*182*-2? -13/3 Evaluate (((-459)/30)/9)/((-105)/525)*-2. -17 Calculate (-62)/((16*(-8)/(-32))/(-2)). 31 What is -14*9*28/504? -7 ((-17)/(24072/36))/(9/12) -2/59 Calculate (-336)/(-840)*1*15/(-3). -2 Evaluate 8/128*0*(-1)/4. 0 What is the value of -5*(-1*18)/((-4690)/134)? -18/7 What is 2/((-4)/(-3))*132354/(-10449)? -19 ((-4)/((-4)/17))/((-1)/(-1)*1) 17 Calculate (-18)/12*(-12)/2*(-9)/405. -1/5 What is the value of (-39)/(-52)*9/(81/30)? 5/2 Evaluate (((-70)/7)/120)/((-3)/(-8)). -2/9 What is (80/(-35))/(690/483)? -8/5 (1*4*149/(-894))/(4/4) -2/3 What is the value of (5/((-585)/52))/((-4)/(-54))? -6 Evaluate ((-1)/(-3))/((-734)/(-44040)). 20 Calculate (30/12)/((2340/(-16))/(-13)). 2/9 Calculate (1/(-28))/(944/(-9912)). 3/8 Calculate 24/2*(-60)/(-80). 9 What is (-2)/(14/((-196)/(-21)))*3? -4 Calculate ((-336)/54)/14*(162/4)/(-3). 6 What is the value of 1*(-27)/45*-2*(-4)/3? -8/5 What is the value of 12/(-25)*254/(-1524)? 2/25 What is (((-7)/(-5))/((-378)/1260))/((-2)/(-12))? -28 Evaluate ((-1)/((-2)/(-26)))/(54/18). -13/3 What is the value of (-12)/(-40)*(-2)/(-3)*(-330)/(-6)? 11 Calculate ((-58)/(-10))/((-70)/350). -29 Evaluate (8/(48/2))/((-3)/117). -13 Calculate (9/(-9))/(19/133). -7 What is the value of ((-2)/10)/((-27)/180)*708/590? 8/5 Calculate (4/(-54)*-9)/((-18)/(-297)). 11 Calculate 4/(-328)*6*(-16)/(-24). -2/41 What is the value of (4/8*2)/((121/(-88))/(-11))? 8 (-105)/40*180/210 -9/4 (-15)/(-30)*-16*1 -8 Evaluate (14/14)/(-1*(-5)/(-50)). -10 Evaluate (16/(-6))/(((-151)/755)/((-6)/4)). -20 What is the value of (-23400)/(-702)*(-9)/10? -30 What is (-26)/((5/((-10)/12))/(-3))? -13 Calculate ((144/60)/3)/(44/(-55)). -1 ((-180)/(-9))/((-3)/4*20/(-6)) 8 What is the value of (4*3/32*12)/((-9)/(-9))? 9/2 Evaluate (9/(-2))/((-552)/368). 3 25/(-30)*-39*(-14)/(-35) 13 (372/(-1736))/((-150)/(-35)) -1/20 Calculate (7/5)/(((-208)/130)/4)*4. -14 What is ((-1820)/(-784))/65*-8? -2/7 Evaluate ((-23345)/3220)/((1/(-8))/(1/2)). 29 What is the value of (-3)/46*64/720*15? -2/23 What is the value of 180/48*4/33? 5/11 What is (3/(-2))/(702/(-15561)*(-7)/4)? -19 (5/10*8/(-49))/(12/(-84)) 4/7 ((-1274)/(-31850))/(3/10) 2/15 Calculate -11*210/6237*6. -20/9 (729/1458)/(((-15)/162)/(-5)) 27 What is (-9)/(-3)*3/(27/(-15))? -5 Calculate ((-2496)/(-130))/(-24)*2*75/6. -20 Evaluate ((-1256)/471)/((8/(-3))/(-4)). -4 What is the value of (((-26)/234)/((-2)/(-42)))/(2/(-6))? 7 Evaluate (732/(-793))/(33/26). -8/11 What is (56/23100*11)/(2/(-6))
{ "pile_set_name": "DM Mathematics" }
psis? 2/1485 What is prob of sequence qj when two letters picked without replacement from ryqvj? 1/20 Two letters picked without replacement from kcaaakwwa. Give prob of sequence ck. 1/36 Two letters picked without replacement from jnjj. What is prob of sequence jj? 1/2 Two letters picked without replacement from mimimiimkmommmmim. Give prob of sequence ko. 1/272 Calculate prob of sequence aaaa when four letters picked without replacement from {a: 10}. 1 Three letters picked without replacement from {o: 1, z: 2, s: 2, t: 1, j: 1, k: 2}. Give prob of sequence zjz. 1/252 Four letters picked without replacement from {w: 2, f: 1, l: 4, t: 2, h: 1, o: 7}. What is prob of sequence otoh? 1/680 What is prob of sequence jj when two letters picked without replacement from jfkykjjzzkzkz? 1/26 Two letters picked without replacement from jlljllj. What is prob of sequence ll? 2/7 Calculate prob of sequence vex when three letters picked without replacement from xvtet. 1/60 Two letters picked without replacement from {g: 2, t: 5, a: 2, u: 1, y: 6}. Give prob of sequence tt. 1/12 Three letters picked without replacement from oiioiiiiio. Give prob of sequence iio. 7/40 Three letters picked without replacement from {c: 1, r: 3, b: 1, a: 2, d: 5}. Give prob of sequence rdd. 1/22 Four letters picked without replacement from {x: 4, q: 3, n: 1, i: 2, c: 1, v: 7}. Give prob of sequence ncvv. 7/12240 Calculate prob of sequence dcc when three letters picked without replacement from dcccccdcctcccccdc. 39/340 Calculate prob of sequence sbi when three letters picked without replacement from sgbbi. 1/30 Three letters picked without replacement from ttmtmttttmmmmm. Give prob of sequence ttm. 7/52 Two letters picked without replacement from {o: 4, s: 2, j: 1}. What is prob of sequence jo? 2/21 Two letters picked without replacement from {l: 1, e: 1, y: 1, w: 2}. Give prob of sequence yl. 1/20 Two letters picked without replacement from fvavaaaavgga. What is prob of sequence fg? 1/66 Calculate prob of sequence vmmv when four letters picked without replacement from {m: 6, v: 2}. 1/28 What is prob of sequence nhan when four letters picked without replacement from {n: 3, a: 1, h: 2, p: 1}? 1/70 What is prob of sequence ii when two letters picked without replacement from {i: 2, v: 4}? 1/15 Calculate prob of sequence ux when two letters picked without replacement from {x: 11, u: 9}. 99/380 What is prob of sequence smsx when four letters picked without replacement from {j: 2, s: 7, m: 4, f: 1, x: 3}? 3/340 Three letters picked without replacement from {c: 5, y: 4, m: 6}. What is prob of sequence ccm? 4/91 Two letters picked without replacement from hheh. Give prob of sequence he. 1/4 Calculate prob of sequence qj when two letters picked without replacement from {n: 1, p: 1, q: 1, l: 2, j: 1, x: 1}. 1/42 Three letters picked without replacement from rzzrbozbo. Give prob of sequence roo. 1/126 Calculate prob of sequence rddr when four letters picked without replacement from {r: 3, d: 9}. 2/55 What is prob of sequence im when two letters picked without replacement from miimmim? 2/7 What is prob of sequence vvpv when four letters picked without replacement from ivvbp? 0 Three letters picked without replacement from zzznkkzzzzzbkzkbnbb. What is prob of sequence nnz? 1/323 Two letters picked without replacement from {o: 1, b: 1, d: 1, f: 2, i: 1, t: 1}. What is prob of sequence tb? 1/42 What is prob of sequence ag when two letters picked without replacement from gdvdhal? 1/42 Four letters picked without replacement from nbxnbxfhxnnhnff. What is prob of sequence hnff? 1/546 Calculate prob of sequence yc when two letters picked without replacement from cycccgcgcc. 7/90 Three letters picked without replacement from eeteveesetjeeeeee. What is prob of sequence jee? 11/340 Two letters picked without replacement from {n: 2, k: 1, l: 1}. Give prob of sequence lk. 1/12 Two letters picked without replacement from guxuuuguxx. What is prob of sequence xu? 1/6 Two letters picked without replacement from hhhvhwvvvhhvhhv. What is prob of sequence hh? 4/15 What is prob of sequence ovnn when four letters picked without replacement from nztvnnonnv? 1/126 Calculate prob of sequence wr when two letters picked without replacement from rwjr. 1/6 What is prob of sequence mmb when three letters picked without replacement from {b: 4, m: 16}? 8/57 What is prob of sequence fi when two letters picked without replacement from hhihwfihih? 1/30 Calculate prob of sequence kkk when three letters picked without replacement from {k: 7}. 1 Two letters picked without replacement from {d: 2, n: 1, f: 11}. Give prob of sequence fd. 11/91 Calculate prob of sequence gg when two letters picked without replacement from xvxggvgvgxvg. 5/33 Calculate prob of sequence ek when two letters picked without replacement from ekgefegeekekezzkeeek. 5/38 Calculate prob of sequence hj when two letters picked without replacement from {u: 1, k: 2, v: 4, e: 1, j: 1, h: 11}. 11/380 What is prob of sequence cq when two letters picked without replacement from {q: 3, z: 3, n: 3, r: 3, c: 1, j: 1}? 3/182 Calculate prob of sequence ii when two letters picked without replacement from izzzizzzzizzizzzzzzz. 3/95 Two letters picked without replacement from fflmb. Give prob of sequence ml. 1/20 Two letters picked without replacement from ccs. Give prob of sequence cc. 1/3 Four letters picked without replacement from {b: 3, l: 4}. What is prob of sequence lbbl? 3/35 Calculate prob of sequence ks when two letters picked without replacement from kss. 1/3 What is prob of sequence bbab when four letters picked without replacement from babbab? 2/15 Four letters picked without replacement from xoooooox. What is prob of sequence oooo? 3/14 Four letters picked without replacement from {w: 3, i: 4, q: 4, d: 4}. What is prob of sequence qiwi? 2/455 Two letters picked without replacement from {s: 2, n: 1, c: 2, z: 1}. Give prob of sequence nc. 1/15 Two letters picked without replacement from xccggcycgcyc. What is prob of sequence gc? 3/22 What is prob of sequence fq when two letters picked without replacement from qqqqfqqqfqqq? 5/33 Four letters picked without replacement from {z: 2, u: 5, b: 8}. Give prob of sequence ubzb. 2/117 Two letters picked without replacement from bbooooooobobooooooo. Give prob of sequence oo. 35/57 Three letters picked without replacement from {q: 1, f: 1, l: 1, s: 1, o: 2, y: 1}. What is prob of sequence flo? 1/105 Two letters picked without replacement from {v: 3, m: 1, f: 3, w: 2, l: 2, j: 1}. What is prob of sequence ll? 1/66 Four letters picked without replacement from {r: 9, g: 5}. What is prob of sequence grgr? 60/1001 What is prob of sequence nxk when three letters picked without replacement from xkxklknknl? 1/45 Three letters picked without replacement from wqmlmvhv. Give prob of sequence hwv. 1/168 Three letters picked without replacement from {l: 1, b: 1, c: 3, t: 1, m: 3, y: 2}. Give prob of sequence lym. 1/165 Two letters picked without replacement from zssszss. What is prob of sequence sz? 5/21 Two letters picked without replacement from {w: 1, x: 9, n: 4}. What is prob of sequence wn? 2/91 Four letters picked without replacement from wpidlwp. Give prob of sequence wlpd. 1/210 Two letters picked without replacement from cuiicu. Give prob of sequence ui. 2/15 Two letters picked without replacement from {z: 2, j: 1, u: 2, k: 2, r: 2, x: 7}. Give prob of sequence kj. 1/120 Four letters picked without replacement from {m: 2, v: 1, q: 1}. What is prob of sequence mqvm? 1/12 Three letters picked without replacement from {v: 1, p: 4, w: 2, s: 1, i: 5, l: 2}. What is prob of sequence vsw? 1/1365 What is prob of sequence eq when two letters picked without replacement from {q: 4, e: 6}? 4/15 Calculate prob of sequence ll when two letters picked without replacement from eeuueleeeeuuexuee. 0 What is prob of sequence ccc when three letters picked without replacement from cccxccxcxcccccxcxxc? 286/969 Calculate prob of sequence ywgy when four letters picked without replacement from {p: 1, g: 1, l: 1, w: 1, y: 1, d: 2}. 0 Calculate prob of sequence zk when two letters picked without replacement from {z: 1, k: 3}. 1/4 What is prob of seque
{ "pile_set_name": "DM Mathematics" }
(b) 3 (c) -1 (d) -17/2 c Which is the smallest value? (a) 4 (b) 0.3 (c) 2 (d) -0.14 d Which is the second biggest value? (a) 91 (b) 3 (c) -1 b Which is the fourth smallest value? (a) -58 (b) -1/4 (c) -7 (d) 1/6 d What is the second smallest value in 0.5, 22, -0.09? 0.5 What is the fourth smallest value in 0, 3/5, -713, -3? 3/5 What is the fifth smallest value in -5, 1/7, 35, 4/9, 13? 35 Which is the second smallest value? (a) 0.3 (b) -484 (c) -0.2 c What is the biggest value in 4, -2, -5, 0.006? 4 Which is the second biggest value? (a) -2/7 (b) 5 (c) 21 (d) -2/17 b What is the third biggest value in -0.41, -0.2, -0.22, -0.4, 4? -0.22 Which is the third biggest value? (a) 2 (b) -3/2 (c) -176 (d) 1 b What is the second biggest value in -8, -3, -0.5, 0.01? -0.5 Which is the second biggest value? (a) 2/9 (b) 4 (c) 3 (d) -4 (e) -0.157 c What is the second biggest value in -2, 1, 2, -2/9? 1 Which is the third biggest value? (a) -5/6 (b) -20 (c) 0.05 b What is the second biggest value in -1, 2/3, 1/5, 0.05? 1/5 Which is the second smallest value? (a) -25 (b) -1/42 (c) -5 c Which is the smallest value? (a) -2/7 (b) 2 (c) -1529 c What is the second smallest value in 11/3, 2, -1/13? 2 Which is the third biggest value? (a) 0.2 (b) -5 (c) -1/3 (d) -6 b Which is the smallest value? (a) 10 (b) 3/7 (c) -2/3 (d) 0.062 c Which is the third smallest value? (a) 0.4 (b) -16 (c) 14 (d) 3 (e) 0 a Which is the fourth biggest value? (a) -1/3 (b) 2 (c) 7 (d) -5 d Which is the biggest value? (a) -29 (b) -1 (c) 2/11 (d) 2 (e) -9 d What is the fourth smallest value in 1/3, 0.2, -91, 5? 5 Which is the smallest value? (a) 0.2 (b) 2.3 (c) -3 (d) 0.5 c Which is the smallest value? (a) -23 (b) 0.2 (c) 3 a Which is the fourth smallest value? (a) -0.2 (b) -31 (c) -3/7 (d) 0.1 d What is the second smallest value in -0.1, -1/4, -0.4, 3? -1/4 What is the biggest value in -1/31, -2, -64? -1/31 Which is the smallest value? (a) 0.4 (b) -3/7 (c) 798 b Which is the second biggest value? (a) 4 (b) 0 (c) -0.4 (d) 0.3 d Which is the second smallest value? (a) 1 (b) -3 (c) 29/16 a What is the biggest value in 0.2, 0.1, -47, -3, -0.5? 0.2 What is the smallest value in 3, 7, -5/3, -1, -1/8? -5/3 What is the third smallest value in 4, -1/6, 434/5, -2? 4 What is the second biggest value in -205, -2, 0? -2 Which is the second smallest value? (a) -0.15 (b) 0 (c) -7/3 (d) 1/9 (e) 5 a Which is the second biggest value? (a) 0.3 (b) -18 (c) -6 c Which is the biggest value? (a) -2/5 (b) -2/7 (c) -26 (d) -5 b What is the smallest value in -4, -2/19, -0.1, -0.014? -4 What is the third smallest value in -5/2, 5, 0, 40, -4? 0 What is the third biggest value in 1, 7, -2? -2 What is the third biggest value in -634, 0.5, -2? -634 What is the biggest value in -1, 3.04, -2/3? 3.04 What is the third biggest value in 1, -34/11, -2/9, 14? -2/9 Which is the second biggest value? (a) 1/3 (b) -0.1 (c) -0.5 (d) 2/3 a What is the second smallest value in 0, 34, 0.5, 2/41, 5? 2/41 Which is the biggest value? (a) -2 (b) -0.1 (c) -15/7 b Which is the smallest value? (a) -4 (b) 2 (c) 0 (d) 0.02 a What is the third smallest value in -2.41, -3, -2? -2 What is the biggest value in -4, 0, -2, 57, -0.04? 57 Which is the second biggest value? (a) 73 (b) -4 (c) 2/5 (d) -1 c What is the third smallest value in 1/8, 4, 1/67, -0.2, -3/5? 1/67 Which is the third biggest value? (a) -0.4 (b) 2 (c) 3/7 (d) -0.01 d What is the third biggest value in 0.1, -0.3, -2, -2/149, -5? -0.3 Which is the smallest value? (a) -0.1 (b) -1/6 (c) 5 (d) 6 (e) 1/2 b Which is the second biggest value? (a) 39 (b) -0.03 (c) 0 (d) -4 c What is the second biggest value in 2, -101, -2/3, -5/3? -2/3 Which is the second biggest value? (a) -3/5 (b) 1 (c) -2 (d) 0.05 (e) 1/8 e What is the second smallest value in 0.1, -249, -4? -4 Which is the third smallest value? (a) 1 (b) 0.2 (c) 5 (d) 3 (e) 61 d Which is the second biggest value? (a) 431 (b) -1/3 (c) -2 b Which is the third biggest value? (a) -10 (b) 5 (c) -0.03 a What is the smallest value in 0.5, -0.11, -0.3, 3? -0.3 What is the biggest value in 4, 0.2, 1/4? 4 What is the biggest value in 0, -2, 0.22? 0.22 Which is the fourth smallest value? (a) -0.2 (b) 4 (c) -7 (d) 3/4 b What is the third smallest value in -2, 1/2, -0.2, -4/7? -0.2 What is the fourth biggest value in 1, 0.4, 3, 2? 0.4 Which is the biggest value? (a) 2/5 (b) 45 (c) -0.3 b Which is the fourth biggest value? (a) -3 (b) -2 (c) -3/4 (d) 0.3 a What is the smallest value in -1, -10/21, 3/5? -1 Which is the second biggest value? (a) -4 (b) -1 (c) -31 a Which is the biggest value? (a) 0.07 (b) -9 (c) -2/15 (d) -1 a Which is the smallest value? (a) -0.01 (b) 0.1 (c) -2/7 c What is the fourth smallest value in 0.3, 0.2, -23.1, -2/9, -0.2? 0.2 What is the third biggest value in -0.1, -3, -163? -163 What is the second biggest value in -0.3, -1648, 0.1? -0.3 Which is the second smallest value? (a) 20 (b) -2/9 (c) -0.09 (d) -4 (e) 0.4 b What is the third smallest value in -0.5, -9, -22/7, -5/3? -5/3 What is the fourth biggest value in 24, 1, -3, 2/3? -3 What is the fifth biggest value in -4/5, -0.5, 0.5, -4, -2/103? -4 What is the second biggest value in -30, -4, 1, 2? 1 What is the fifth smallest value in 1, 8, 0, -5, -19? 8 Which is the third smallest value? (a) 3 (b) 3749 (c) 1 b What is the second biggest value in -9, 2/11, 4, 5? 4 Which is the second smallest value? (a) 9 (b) -2 (c) -2/7 (d) -5 b Which is the biggest value? (a) 0.3 (b) 5 (c) 407 c What is the smallest value in -0.289, 8, -2/9? -0.289 Which is the smallest value? (a) -3 (b) -249 (c) 4 (d) -1 b Which is the smallest value? (a) 0.2 (b) 125 (c) 2/13 c What is the fourth biggest value in 5, 3, 4, 33, -0.1? 3 What is the third biggest value in 15, 5, 0.97? 0.97 Which is the second smallest value? (a) 4 (b) -5 (c) -17/6 c Which is the third biggest value? (a) -1/3 (b) 0.09 (c) 0.6 (d) -0.5 a What is the third smallest value in 10, -4, 3, -13/8? 3 What is the third biggest value in 2/15, 3/7, 7? 2/15 What is the biggest value in -0.2, -2, 1, -1.7? 1 What is the biggest value in 0.37, -0.1, 138? 138 Which is the fourth smallest value? (a) -1 (b) -1/3 (c) 13/2 (d) -2 c What is the biggest value in -0.3, -0.2, 1.9? 1.9 What is the biggest value in -0.8, -5, 2/11? 2/11 Which is the third smallest value? (a) 42 (b) -3/4 (c) -0.4 a What is the second smallest value in -13, 0.4, 334? 0.4 What is the third biggest value in -1, -255, -2? -255 Which is the second smallest value? (a) -2/15 (b) -5 (c) -10 (d) -0.2 (e) -0.4 b Which is the smallest value? (a) -20 (b) -0.2 (c) -11 a What is the second biggest value in -2.5, 3, -1/2? -1/2 What is the smallest value in -2/11, -4, -330/13, -0.3? -330/13 Which is the smallest value? (a) -6 (b) 1 (c) -1/6 (d) -2/21 a Which is the second smallest value? (a) 2 (b) 5 (c) -48 a Which is the biggest value? (a) 395 (b) 2/3 (c) -2/3 a What is the second biggest value in 23473, 1/3, -1? 1/3 Which is the second smallest value? (a) 4 (b) -4 (c) 12/5 c What is the third biggest value in 13, 0.082, 3/8, -2/7? 0.082 Which is the second smallest value? (a) -1/36 (b) -0.3 (c) -0.5 (d) 2/11 b What is the smallest value in -0.5, -3, 0.03? -3 What is the second biggest value in 3, -1/3, -5/2? -1/3 What is the third smallest value in -1/8, 0.5, 19/11, 0.2? 0.5 Which is the second biggest value? (a) -4 (b) 1/9 (c) 18 (d) 1/12 b What is the third smallest value in -7, 0.2, -3? 0.2 Which is the fourth smallest value? (a) -1/6 (b) -1/4 (c) -2/11 (d) -5/6 (e) -3 c Which is the smallest value? (a) 3 (b) -9 (c) 0.02 b What is the fourth biggest value in 1/6, 2, 0, 9/32? 0 Which is the fourth smallest value? (a) 6 (b) -1 (c) 0.3 (d) -75 a Which is the second smallest value? (a) -1/64 (b) -0.056 (c) 4 a Which is the smallest value? (a) -2 (b) 2/13 (c) 0.4 (d) -0.09 a Which is the third biggest value? (a) 1/7 (b) -5/2 (c) -0.457 b What is the third biggest value in -2/15, 140, 0? -2/15 Which is the second smallest value? (a) 9 (b) -3 (c)
{ "pile_set_name": "DM Mathematics" }
en 83 is divided by v. 5 Let x = 232 + -168. What is the remainder when x is divided by 33? 31 Let h = -12 + 9. Let b be h + (2*9)/3. Suppose b*x - 3*m - 35 = x, 3*m - 25 = -4*x. Calculate the remainder when 39 is divided by x. 9 Suppose -1 - 17 = 9*g. What is the remainder when 74 is divided by 90/8 + ((-9)/4 - g)? 8 Suppose -8*y - 100 = -860. Calculate the remainder when 567 is divided by y. 92 Suppose -1038*q + 1025*q = -3809. What is the remainder when q is divided by 86? 35 Let s(j) = j**2 + 6*j + 22. What is the remainder when s(-17) is divided by 35? 34 Let a(c) = 30*c**2 + 3*c + 14. Calculate the remainder when 411 is divided by a(2). 131 Let g(w) = w**3 + 15*w**2 + 40*w - 13. Let x be g(-11). Let b be (-1 + 4)/6*12. What is the remainder when 107 is divided by (0 - -2 - b) + x? 26 Let j be (2/1)/(51/15 + -3). Suppose -40 = j*v - 10*v. What is the remainder when 2/(-8) - 85/(-4) is divided by v? 5 Suppose 90 = -4*t + 6. Suppose -38 = -2*b - 0. What is the remainder when b is divided by t/14*(-2)/2*2? 1 Let i(y) = y**2 - 15*y + 76. Calculate the remainder when 57 is divided by i(11). 25 Let z(s) = s. Let w be z(4). Suppose -5*a + 4*k = -170, 0 = w*a + k + 49 - 185. Suppose x + a = 3*x. Calculate the remainder when 65 is divided by x. 14 What is the remainder when 205 is divided by 92/(-20) + 4 + (-1491)/(-35)? 37 Let p = 1498 - 1471. What is the remainder when 484 is divided by p? 25 Let b = 2 - -1. Let k be b - 0/(-5 + 2). Suppose 5*z - 4 - 21 = 0, -k*r = -2*z - 50. What is the remainder when r is divided by 8? 4 Let x be (-172)/(-4) - (-4 + 7). Suppose -3*o = -7*o + x. Suppose 2*m = -5*c + 175, -5*c + 0*m = -5*m - 210. What is the remainder when c is divided by o? 7 Let c(l) = -l**3 + 8*l**2 - 10*l - 6. Suppose -22*o + 17*o = -30. Calculate the remainder when c(o) is divided by 6. 0 What is the remainder when ((-60)/9 - -2)/((-48)/792) is divided by 26? 25 Let z be (-3)/(3/1) + -1. What is the remainder when (-3 + 107/(-1))*10/(-25) is divided by (0 + -1 - z) + 22? 21 Let n = 237 - 397. Let w be 1/(n/158 + 1). Let f = -37 - w. What is the remainder when f is divided by 15? 12 Let a(p) = -2*p**3 - p**2 + 3*p + 4. Let w be a(-1). Suppose -w*x = f - 79, -4*f + 263 + 59 = 2*x. Calculate the remainder when f is divided by 42. 39 Suppose -1475*r - 564 = -1479*r. Calculate the remainder when 285 is divided by r. 3 Let p be 721/49 + (-2)/(-7). Suppose 4*q - q - p = 0. Let b(o) = o**2 - o + 5. What is the remainder when 72 is divided by b(q)? 22 Let z = 142 - 123. Let w(h) = 2*h + 17. What is the remainder when z is divided by w(-5)? 5 Suppose 35*n = -4*c + 36*n + 738, 0 = 3*n - 6. What is the remainder when c is divided by 39? 29 Suppose 0 = 3*f - n - 84 - 44, -3*f + 4*n = -125. What is the remainder when f is divided by 11? 10 Let r(d) = -8*d + 50. Calculate the remainder when 17 is divided by r(6). 1 Let v(k) = k - 2. Let p be v(5). Suppose -4*z = -p*z - 7. What is the remainder when 32 is divided by z? 4 Let o(k) = k**2 - 7*k - 8. Calculate the remainder when ((-12)/10)/(8/(-460)) is divided by o(9). 9 Calculate the remainder when 57 is divided by 8/(-64)*4*16 - -27. 0 Suppose 2*s + 50 = 84. Calculate the remainder when 31 is divided by s. 14 Suppose 2*w + 35 = r, -r + 2*r + 2*w = 31. What is the remainder when 131 is divided by r? 32 What is the remainder when 13 is divided by ((-42)/70)/(6/(-70))? 6 Let p = 5 - -10. Suppose -n + 25 = 4*n, p = -5*o - 4*n. Let y(f) = -f**2 - 9*f + 4. What is the remainder when 69 is divided by y(o)? 15 Suppose 2*n = -8, 5*z - n + 1 - 365 = 0. Let c = -2 + 21. What is the remainder when z is divided by c? 15 Suppose -4*j - 735 = -2395. Calculate the remainder when j is divided by 104. 103 Calculate the remainder when 23/(69/90) - 5 is divided by 15. 10 Let v(s) = s**2 - 54*s + 122. What is the remainder when v(55) is divided by 18? 15 Let j(r) = 11*r**3 - r**2 - 5*r. Calculate the remainder when j(3) is divided by 29. 12 Suppose -b = 4*k - 32, -4*k - 3*b - 3 + 27 = 0. What is the remainder when k/3 - (-118 - (-12)/3) is divided by 40? 37 Let w be (-1 - 23)*(-2)/(-4). Suppose 262 = 5*n - 108. Calculate the remainder when 8/w + n/3 is divided by 9. 6 Let x = -1121 - -1174. Calculate the remainder when x is divided by 20. 13 Let t = -19 - -1. Let c = t - -34. Suppose 0*j - 188 = -4*j. Calculate the remainder when j is divided by c. 15 Suppose 2*j - 4*g + 12 = j, 16 = 4*g. Suppose j*y = 3*l - 11 - 44, -47 = -3*l - 4*y. What is the remainder when 47 is divided by l? 13 Let p(c) = -20*c - 5. Suppose 6*n - 9 = 9*n, -3*n + 181 = 5*m. What is the remainder when p(-4) is divided by m? 37 Suppose 110 = 5*y - 16*m + 15*m, -3*m = -4*y + 77. What is the remainder when 35 is divided by y? 12 Suppose 0 = -3*u + 3*s + 31 - 418, 3 = -s. Calculate the remainder when (u/(-10))/(2/5) is divided by 9. 6 Let v(q) = 2*q**2 - 14*q - 32. Let h be v(-11). Let l = -237 + h. Calculate the remainder when l is divided by 10. 7 Let o = -891 - -939. Calculate the remainder when 134 is divided by o. 38 Let r = -3 + 15. Let o(p) = p + 10. Let c be o(-6). Suppose 25 = 3*x - 2*q, 4*q = c*x + 4 - 44. What is the remainder when r is divided by x? 2 Suppose -5*y = -0*y - 130. Let m(z) = -16*z**2. Let f be m(1). Let o = f + y. What is the remainder when o is divided by 3? 1 Suppose -66 = -6*x + 300. What is the remainder when x is divided by 21? 19 Suppose 0 = -s - 6*s. Suppose o + 40 = 3*t, -4*t = -s*t + 2*o - 40. What is the remainder when 33 is divided by t? 9 Suppose -30*z - 107 + 343 = -244. Suppose 0 = -u - 0*u + 46. Calculate the remainder when u is divided by z. 14 Let u(x) = 4*x - 40. Let b(l) = l**2 + 8*l - 7. Let t be b(-9). Suppose 0 = 5*p - t*p - 45. What is the remainder when p is divided by u(12)? 7 Suppose 83 = 13*j - 281. What is the remainder when 54 is divided by j? 26 Let d be 4/(-3)*(-108)/8. Suppose -m + d = 19. Let k(i) = -32*i + 2. What is the remainder when k(m) is divided by 12? 10 Let x(d) be the second derivative of -5*d**3/6 - d**2/2 + 6*d. Let j be x(1). What is the remainder when 8 is divided by 2 + (-9)/j*2? 3 Suppose 0 = 4*h - g - 238 - 15, 122 = 2*h + 4*g. Suppose 4*u - 52 = 4*l, -l = -17*u + 18*u - 13. What is the remainder when h is divided by u? 11 Suppose -2*z = -j - 10 - 21, 0 = 3*z + 4*j - 41. Suppose z = f + 4*f. Let p(c) = -2*c - 6. What is the remainder when p(-5) is divided by f? 1 Let m(t) = -7*t - 223. Calculate the remainder when 131 is divided by m(-35). 21 Let j = 0 + 484. Calculate the remainder when j is divided by 81. 79 Let l = -973 + 1247. Calculate the remainder when l is divided by 37. 15 Let p(d) = -d**2 + 14*d - 16. What is the remainder when 455 is divided by p(10)? 23 Suppose 4 = 4*j - 16. Let t be -2 + (-8)/(-2) + -1. What is the remainder when t*(-3 - 12/(-1)) is divided by j? 4 Suppose 0 = -3*q + 4*q - 13. What is the remainder when -5*(-3)/30*46 is divided by q? 10 Suppose 4*c + 3*n - 244 = 0, 5*c + 0*c = 5*n + 270. Suppose 3*o - 9 = -x - o, 2*o + 6 = 0. What is the remainder when c is divided by x? 16 Let n(q) = q + 12. Let o be n(-9). Let h be (-111)/(-4) + (-1)/(-4). Suppose -o*r + h = r. Calculate the remainder when r is divided by 5. 2 Let a(q) = 5*q**2 - 16*q - 4. Let v(y) = -6*y**2 + 15*y + 4. Let b(r) = 5*a(r) + 4*v(r). What is the remainder when b(22) is divided by 22? 18 Let n = 291 - 177. Calculate the remainder when n is divided by 2/((-10)/145)*(-4 - -3). 27 Suppose 18*q - 3*v - 164 = 16*q, 3*v + 85 = q. Calculate the remainder when q is divided by 16. 15 Suppose 14 = 2*g + 2*b, 39 = -g + 4*g - 3*b. Suppose -4*s + 2*n = -140, 2*s = -0*n + 3*n + 62. What is the remainder when s is divided by g? 7 Let m = 42 + -39. What is the remainder when (-219)/15*(m - 8)*1 is divided by 19? 16 Let m = -1 - -4. Suppose -24 - 27 = -m*j. Suppose 70 = 2*y - 60. Calculate the remainder when y is divided by j. 14 Let h = 49 + -38. Let t = -22 + 49. Let z = t - -2. Calculate the remainder when z is divided by h. 7 Suppose 5*b + 10 = -3*r + 36, 5*r - 3*b = -2. Suppose 5*f + 3*p - 762 = -107, -f = r*p - 131. Calculate the remainder when f is divided by 33. 32 Let x(j) = -26*j**2 - 173*j. Calculate the remainder when x(-6) is divided by 30. 12 Let p = 20 - 6. Suppose 0 = p*r - 18*r + 740. W
{ "pile_set_name": "DM Mathematics" }
e prime factors of n(-5)? 2 Let t be 920/22 - 10/(-55). Suppose t = 4*r - 18. What are the prime factors of r? 3, 5 Let c be (-5)/(-2)*2*-1. Let t = 1 - c. What are the prime factors of t? 2, 3 Suppose -3*j = -7*j. Suppose j*t - t = -44. Let y = t - 31. List the prime factors of y. 13 Let j = -248 + 581. What are the prime factors of j? 3, 37 Suppose -5*f + 528 = -2*f. What are the prime factors of f? 2, 11 Let w = 143 + -29. List the prime factors of w. 2, 3, 19 Let q be (48/9 - 3)*6. Suppose 0 = -2*w + 48 + q. List the prime factors of w. 31 Let k = 16 + -11. Suppose k = 5*h - 20. Suppose -f - 7 = -3*c + 13, h*c - 28 = -f. List the prime factors of c. 2, 3 Let o = -5 + 9. Suppose -v - o*d + 28 - 9 = 0, -4*v + 25 = -d. What are the prime factors of v? 7 Let c(p) = -p**3 + 6*p**2 + 8*p - 1. Let y be c(7). List the prime factors of 9 - (-1 + y/2). 7 Let n = -6 + 3. Let q be (0 + 1 - -2) + -2. What are the prime factors of (-1)/(n/9*q)? 3 List the prime factors of 0 + 4/(-4) + 16. 3, 5 Let l(u) = -7*u - 11*u - 3*u. Let n be l(1). Let h = 29 + n. What are the prime factors of h? 2 Suppose -3*l - 3*x = -0*x + 6, 3*l - x = 14. Let d be 3*l + 4 + -4. Suppose z - d = -1. List the prime factors of z. 2 Let g(a) = -7*a - 15. List the prime factors of g(-8). 41 Let h(s) = -10*s + 8. List the prime factors of h(-6). 2, 17 Let c = -3 - -7. List the prime factors of (-2)/c*(-2 + -16). 3 Let l be -2 - (2*-1 + -6). List the prime factors of -22*(9/l + -2). 11 List the prime factors of -4*(-2 - (-189)/(-12)). 71 Suppose 0 = 4*n + 3*a + 72, 3*n - 4*a + 7 + 22 = 0. List the prime factors of (-40)/n - 2/3. 2 Suppose -j = 4*j + 85. Let d = 31 + j. List the prime factors of d. 2, 7 Let m = -14 + 11. List the prime factors of (-20 - 9/m)*-1. 17 Suppose 0 = 5*b - 5*l - 30, 24 - 6 = 4*b + 2*l. Suppose 0 = -b*n + 23 + 17. List the prime factors of n. 2 Let a(o) = -o**3 - 4*o**2 - 5*o - 3. Suppose 15 = 2*k + k. Let q = -9 + k. List the prime factors of a(q). 17 Suppose 2*f + 0*o - o + 5 = 0, -4*o + 5 = -3*f. What are the prime factors of (0 - f)/((-9)/(-48))? 2 Let g(f) be the second derivative of f**3/6 - 4*f**2 + 3*f. Let c be g(9). What are the prime factors of ((-1)/c)/(2/(-4))? 2 Suppose 3*x - 2*x = -5. Let c = -6 - -4. Let o = c - x. What are the prime factors of o? 3 Suppose 0 = -2*c - 3 + 11. Suppose c*x + 0*t + 3*t - 300 = 0, 0 = -t. Suppose -5*y + x = 4*k + 14, -3*k + 37 = 2*y. List the prime factors of k. 3 What are the prime factors of 2 + (-28)/(-2 - 2)? 3 Let l = 0 - -3. Suppose -4*n + 5 = -l*n. List the prime factors of n. 5 Suppose p + 10 = 2*k + 4, p = 5*k - 12. Suppose 0 = -n + x + 4, -5*n - k*x - 5 = -4*n. What are the prime factors of 2 - (n + 2)/(-3)? 3 Let b = 129 - -9. What are the prime factors of b? 2, 3, 23 Let g(v) = -1. Let s(f) = -f**2 + 7*f - 4. Let b(i) = 3*g(i) + s(i). What are the prime factors of b(5)? 3 List the prime factors of -1 - (-47 + 3 + -3). 2, 23 Suppose 3*n - 78 = 57. Let f = n + -1. List the prime factors of f. 2, 11 Let d = -79 - -86. What are the prime factors of d? 7 Let j be -10 - (-4 + 2 - -4). Let r = j + 23. Suppose 18 + 13 = 5*x + 2*i, 0 = -x - 2*i + r. List the prime factors of x. 5 List the prime factors of 3/(22/(-47) - 11/(-22)). 2, 47 Let f = 1 + -14. Suppose 4*j + 54 = 2*j. Let z = f - j. List the prime factors of z. 2, 7 Let l = -7 - -1. Let x be 2/l + 122/6. Suppose -z - x = -5*z. List the prime factors of z. 5 Suppose -11*n + 180 = -7*n. What are the prime factors of n? 3, 5 Let p be (-1 + 15/6)*2. Suppose -70 = -2*v - 3*v + p*w, 2*w = 2*v - 28. List the prime factors of v. 2, 7 Let o(g) = g**2 + 2*g + 2. Let n be o(-2). Suppose -d = -0*d + n. What are the prime factors of (d/(-4))/((-1)/(-16))? 2 What are the prime factors of 1/1*(-80)/(-2)? 2, 5 Suppose 5*a = 2*a + 81. List the prime factors of a. 3 Suppose -4*u - 7 = -d + 5, -2*d - 24 = 4*u. Let g be d/6 - (-8)/3. Suppose g*p - 21 = -5*s, -3*p + 3*s = 2*p - 37. What are the prime factors of p? 2 Suppose 0 = -2*f + 109 - 27. List the prime factors of f. 41 Let o(y) = -y + 6. Let v be o(7). What are the prime factors of (2 + -8)/(v/2)? 2, 3 Let m = 16 + -7. Suppose 0 = -k - 5*b - 6 + 25, 2*b = 5*k - 122. Let f = k - m. List the prime factors of f. 3, 5 Let h = 13 - 9. Suppose -h*i = 13 - 49. List the prime factors of 32/3 + (-6)/i. 2, 5 Suppose 0*w - 76 = -w - y, 0 = 4*w - 3*y - 318. What are the prime factors of w? 2, 3, 13 Suppose 0 = 17*q - 22*q + 30. Suppose 9*o = q*o + 72. What are the prime factors of o? 2, 3 Let u(m) = 3*m + 0*m + 3*m + 5 + m**2 - 15. List the prime factors of u(-9). 17 List the prime factors of ((-424)/3 + -2)*(-54)/45. 2, 43 Suppose -2*p + 2 + 2 = 0. Suppose -4*s - 5 = y, 0 = y - 3*s - p - 7. Suppose y*o = 4*w + 49, -16 = -o + 4*w - 3*w. List the prime factors of o. 3, 5 Let d = -13 + 18. Let i(q) = -q**2 + 4*q + 7. Let h be i(d). List the prime factors of h - (2 - -12)/(-2). 3 Suppose -3*g - 23 = -230. Suppose -2*r - g = -5*r. List the prime factors of r. 23 Let i = 14 - 7. What are the prime factors of -4 - -6 - i*-2? 2 Let q be 38/((-1)/1 - -3). Let v = q + 1. List the prime factors of v. 2, 5 Let b(w) = 0 + 0 - 1 + 3*w. Let p be b(-2). Let a = p - -13. List the prime factors of a. 2, 3 Let s(g) = g + 1. Let b(i) = i**2 - 13*i - 9. Let f(c) = -b(c) - 5*s(c). List the prime factors of f(8). 2 Suppose -8 = 5*z - 38. Let i(u) = u**3 - 5*u**2 - 5*u + 3. Let j be i(z). Let h = j - 1. List the prime factors of h. 2 Let s be (-12)/(-2)*(-8)/(-6). Suppose -4*g + s = -0*g. What are the prime factors of g? 2 Suppose -3*f = -0*x - x - 218, 0 = f - x - 74. What are the prime factors of f? 2, 3 Suppose 64 = -4*p - 2*d, -11 - 13 = 2*p - d. Let u = 21 + p. What are the prime factors of u? 7 Suppose 5*k + 4*c + 44 = 0, -k = k - 2*c + 14. Let h(n) = n**2 + 9*n + 11. What are the prime factors of h(k)? 3 Let o(g) = -36*g + 49. What are the prime factors of o(-4)? 193 Suppose 14 = 4*k - 2*k. Suppose -6*b + b = -5, -5*b + 5 = g. Suppose 4*z - 23 + k = g. What are the prime factors of z? 2 Let v be 9 + 0 + 1*-3. Let f = v + -2. What are the prime factors of f? 2 Let x(b) = -5 - 3*b**3 + 4*b**3 - 2*b**3 - 12*b**2 - 2*b + 3. Let c be x(-12). Suppose 62 = 4*w - n, 2*w - n = -5*n + c. What are the prime factors of w? 3, 5 Suppose -773 + 311 = -2*o - 2*f, 0 = 3*o - 5*f - 653. List the prime factors of o. 2, 113 Suppose 21*q + 805 = 28*q. What are the prime factors of q? 5, 23 Let s(z) = -z + 5. Let f be s(4). Let b(d) = 4*d**3. Let x be b(f). Suppose 2*j - x*n + 19 - 55 = 0, -4*j = 5*n - 46. List the prime factors of j. 2, 7 Let a = -13 - -43. What are the prime factors of a? 2, 3, 5 Let v(o) = o**3 + 9*o**2 - 11*o + 3. List the prime factors of v(-9). 2, 3, 17 Let p be 18 - (-2 + 2) - 3. Let x be (-6)/p - (-22)/5. Suppose 8 = u + x. List the prime factors of u. 2 Suppose -3*f = -0*f - 81. Let x = f - 15. List the prime factors of x. 2, 3 Let p(r) = -r + 52. List the prime factors of p(0). 2, 13 Suppose 3*k - 3*i - 97 = -19, -3*i = 4*k - 111. List the prime factors of k - ((-12)/4 - -2). 2, 7 Let w = 121 - 63. Suppose 4*t + 10 = w. What are the prime factors of t? 2, 3 Suppose -4*d - d = -25, 27 = 4*f + 3*d. Let g = f + 9. List the prime factors of g. 2, 3 Suppose m = 6*m - 60. Suppose q - 4 = m. List the prime factors of q. 2 Let m(s) = -s**3 - 4*s**2 + 4*s + 3. Suppose 7*g + 9 = -3*y + 2*g, -4*y - 3*g - 23 = 0. Let q be y + (-1 - -2) - -2. What are the prime factors of m(q)? 2 Let w be (-30)/12*(-8)/5. Let i = w - -15. List the prime factors of i. 19 Let p(w) = -w + 3. Let j be p(5). What are the prime factors of ((-11)/(-2))/(j/(-4))? 11 Suppose -u = u + 3*x - 548, -3*u - x + 829 = 0. List the prime factors of u. 277 List the prime factors of ((-14)/(-28))/((-2)/(-128)). 2 Let a(r) = -r - 6. Let z be a(-8). Suppose -16 = k - 2*k + z*v, 0 = -k + 4*v + 22. Suppose -k = -f + 2. List the prime factors of f. 2, 3 Let j be 2/(-1) + -2 + 16. Let q = 2 + j. What are the prime factors of q? 2, 7 Let k = 5 + -4. Let d be -3 - (-1 + k)/(-3). What are the prime factors of 0 + (30/d)/(-1)? 2, 5 Let o(h) be the first derivative of h**4/4 + h**3 - h**2 + h - 44. Let u = 3 + -1. What are the prime factors of o(u)? 17 Let m be ((-4)/6)/((-6)/45). Let h = m + 0.
{ "pile_set_name": "DM Mathematics" }
es 90 divide 175978980? True Is 42885852 a multiple of 2174? False Does 2 divide 12478858? True Is 5317 a factor of 248665456? True Does 31 divide 481175707? True Is 15 a factor of 6595432? False Does 117 divide 225053412? False Is 100492733 a multiple of 11? True Is 185236460 a multiple of 3260? True Does 49 divide 26001122? False Does 25 divide 3946377550? True Does 17 divide 2023011628? True Is 3432801150 a multiple of 50? True Is 130705220 a multiple of 1108? True Does 186 divide 27712326? True Does 1132 divide 89198180? False Does 17 divide 17190621? True Is 247698068 a multiple of 140? False Is 172430261 a multiple of 25? False Is 40 a factor of 80290636? False Is 230 a factor of 110923330? False Is 246892541 a multiple of 43? True Is 17339538 a multiple of 2013? False Is 204326304 a multiple of 728? True Does 6 divide 200319396? True Does 20 divide 738928260? True Is 14251276 a multiple of 53? True Is 6 a factor of 339594? True Is 955 a factor of 43642545? True Is 258308003 a multiple of 915? False Does 355 divide 138865350? True Is 486 a factor of 1331501217? False Does 355 divide 165114091? False Does 326 divide 108476443? False Is 4787544220 a multiple of 10? True Is 15617126 a multiple of 6? False Is 247505145 a multiple of 4307? False Does 190 divide 4284480810? True Does 94 divide 56941722? True Does 952 divide 1947792? True Does 7 divide 466573513? True Is 688296904 a multiple of 907? True Is 765 a factor of 15093450? True Is 17996322 a multiple of 9? False Is 26 a factor of 19202986? False Is 1775 a factor of 350840190? False Does 180 divide 11122523? False Is 20829740 a multiple of 40? False Is 772294860 a multiple of 4149? True Is 166 a factor of 6704316? False Is 2163233253 a multiple of 103? False Does 25 divide 3427467886? False Is 134385029 a multiple of 95? False Is 808 a factor of 36197592? True Does 13 divide 16507681? False Is 45 a factor of 42063392? False Does 3 divide 169196436? True Is 44 a factor of 271193957? False Does 9893 divide 614998345? True Is 1596 a factor of 54208140? True Does 545 divide 93610121? False Does 18 divide 13566108? False Is 6169424 a multiple of 125? False Does 1292 divide 6573308400? True Does 36 divide 77742936? True Is 2713 a factor of 415729268? True Does 72 divide 31986360? True Is 464355991 a multiple of 18? False Is 15 a factor of 21115399? False Is 234086778 a multiple of 8? False Does 556 divide 430711267? False Is 10719747 a multiple of 79? True Is 77567904 a multiple of 9? True Is 1923 a factor of 1539157074? False Does 668 divide 142987404? True Is 46150752 a multiple of 492? False Is 953930976 a multiple of 3464? False Does 8 divide 703936? True Does 21 divide 683667432? True Does 1550 divide 312226203? False Does 209 divide 405139? False Is 58823310 a multiple of 24? False Is 87638344 a multiple of 4? True Is 6035537 a multiple of 16? False Is 2757 a factor of 51415293? True Does 3524 divide 164516488? False Does 80 divide 177029492? False Is 2475 a factor of 98703715? False Is 35527606 a multiple of 38? True Is 3059 a factor of 1248680741? True Is 62189000 even? True Is 53040134 a multiple of 27? False Does 27 divide 104862492? True Does 119 divide 26629656? False Does 83 divide 974966223? True Does 751 divide 11978450? True Is 977383607 a multiple of 29? True Is 133 a factor of 41343367? False Is 421238880 a multiple of 1080? True Is 177 a factor of 616846424? False Does 791 divide 80860766? True Is 825623100 a multiple of 150? True Is 417711474 a multiple of 4? False Does 2510 divide 362262958? False Is 37 a factor of 1036700? False Is 199 a factor of 926444573? False Does 2392 divide 268655088? True Does 127 divide 31889468? False Does 275 divide 20564673? False Is 1086 a factor of 15384702? False Does 561 divide 27363336? True Is 2906 a factor of 271837844? False Is 3496 a factor of 191451448? True Does 9 divide 11742071? False Is 70103260 a multiple of 139? True Is 179042298 a multiple of 1198? True Is 1586149955 a multiple of 359? True Does 65 divide 76184660? False Is 97550430 a multiple of 9? False Does 1030 divide 25654628? False Does 8 divide 12208016? True Is 2626734208 a multiple of 41? True Does 423 divide 35454157? False Does 339 divide 536396246? False Is 349 a factor of 469475835? False Is 156218917 a multiple of 8? False Is 39 a factor of 75660810? False Does 420 divide 356695920? True Does 1205 divide 565614950? True Does 232 divide 9368974? False Is 2301 a factor of 21522? False Does 25 divide 852614925? True Is 63 a factor of 244072017? True Is 881108518 a multiple of 202? False Is 3490 a factor of 157933007? False Is 1461608220 a multiple of 142? False Is 66976353 a multiple of 2? False Is 47 a factor of 32446349? False Is 13 a factor of 565555959? False Is 14261814 a multiple of 6? True Does 10 divide 87081557? False Is 841 a factor of 68156322? True Is 2201 a factor of 51862043? False Does 200 divide 1444489200? True Does 941 divide 27735034? True Is 8010 a factor of 1003889777? False Is 68007349 a multiple of 16? False Is 186002804 a multiple of 971? False Does 8 divide 510384712? True Is 689 a factor of 140204610? True Does 24 divide 213239716? False Is 94087620 a multiple of 1710? True Is 960219055 a multiple of 27? False Is 2577008 a multiple of 8? True Is 37842552 a multiple of 396? True Is 89 a factor of 23705396? False Does 93 divide 321943494? True Does 114 divide 42631356? False Is 13544547 a multiple of 193? True Does 125 divide 298930053? False Is 39015247 a multiple of 439? True Does 2 divide 7374285? False Is 976 a factor of 1105514335? False Is 717 a factor of 337393671? True Does 2527 divide 424182980? False Does 13 divide 522648723? False Is 19 a factor of 490772601? False Is 496381374 a multiple of 18? True Is 61 a factor of 28192858? True Does 24 divide 9717484? False Does 20 divide 1078787220? True Is 10 a factor of 1094798698? False Is 235656664 a multiple of 514? True Is 9 a factor of 39741390? True Is 10 a factor of 743101? False Is 57 a factor of 304042104? True Is 6 a factor of 112615984? False Does 172 divide 32911142? False Is 33837918 a multiple of 386? True Is 2 a factor of 16396591? False Is 877991682 a multiple of 20? False Is 29 a factor of 178815424? False Is 127615955 a multiple of 13? False Does 13 divide 640640? True Does 363 divide 660580396? False Is 1862 a factor of 75585565? False Is 75 a factor of 724401809? False Is 105996163 a multiple of 813? False Is 1113 a factor of 1619612001? True Is 4574930597 a multiple of 894? False Is 2264 a factor of 3373110257? False Is 4592059854 a multiple of 7302? True Is 39229136 a multiple of 139? True Does 11 divide 10415? False Is 405 a factor of 57462615? True Is 19627791 a multiple of 223? True Is 4737 a factor of 1024996797? True Is 83181512 a multiple of 29? True Is 80 a factor of 108271504? False Is 17 a factor of 37495438? True Is 118501768 a multiple of 28? True Is 203 a factor of 7264355? True Does 577 divide 39872959? False Is 138592836 a multiple of 438? True Is 4737413 even? False Does 120 divide 46264765? False Is 169437456 a multiple of 3183? True Is 5916 a factor of 336738720? True Is 2054094106 a multiple of 69? False Is 4 a factor of 354405547? False Is 25 a factor of 252252850? True Is 52 a factor of 87896333? False Is 231283126 a multiple of 1649? False Does 222 divide 4475310? False Does 84 divide 54915756? True Is 149164103 a multiple of 160? False Does 3004 divide 1697920880? True Does 2736 divide 41379264? True Is 499 a factor of 2068852475? False Is 13 a factor of 1051812021? True Does 147 divide 29344964? False Is 237608237 a multiple of 22? False Does 6015 divide 865907370? True Does 368 divide 11685840? True Does 22 divide 7755374? True Is 734652226 a multiple of 12? False Is 353186464 a multiple of 1928? True Does 15 divide 1082227845? True Is 6747266 a multiple of 14? False Does 13 divide 47361021? False Is 6660 a factor of 975031049? False Is 8 a factor of 103339310? False Is 1374650288 a multiple of 11? True Does 6 divide 4014904? False Is 194142210 a multiple of 2265? True Is 180 a factor of 227474820? True Is 3065868 a multiple of 78? True Is 4 a factor of 2919796? True Is 149 a factor of 380397? True Is 33 a factor of 570457041? True Does 4
{ "pile_set_name": "DM Mathematics" }
265/159)/(50/12). Which is the nearest to t? (a) -0.3 (b) 9 (c) -0.06 c Let l = -90 - -269/3. Let y = -14/15 - l. What is the closest to 1/2 in 1, 1/6, y? 1/6 Let h = -6 - -5.9. Let q be 1*((-2)/(-3))/(-2). Let n = 24 - 23.9. Which is the closest to n? (a) 0 (b) h (c) q a Suppose 0 = 3*h - 243*n + 239*n - 10, 4*h = -n - 12. What is the closest to h in 0, -2.4, -0.1, -0.4? -2.4 Let o = 21 - 20. Let k be (16/32)/(5/(-2)). Let z = 4 + -4.3. Which is the nearest to k? (a) z (b) 0.5 (c) o a Let n = -304 + 300. What is the nearest to 0.3 in n, -2/85, 2? -2/85 Let o = -4151/3 - -1383. Which is the nearest to -2? (a) o (b) 7 (c) 3 a Suppose 145*h - 141*h - 4*f = -8, 5*h = -5*f - 10. Which is the closest to 1/3? (a) -6 (b) h (c) -2/25 c Suppose 11 = -4*x - 3*k, -25 + 2 = -3*x + 4*k. Let d be x*(-3)/(-15)*2. Let b be 2/(-6)*(6 + -6). What is the nearest to d in b, 0.1, -1/4? 0.1 Let u(i) = i**2 + i - 4. Let p be u(3). Suppose 4*g - 2*g = p. Let z be (-2)/g*1*2. Which is the closest to z? (a) -4 (b) 5/3 (c) 0.5 c Let o = -5.32 + -2.68. Which is the nearest to o? (a) 2/5 (b) 1.2 (c) -2 c Let o = 22/9 + -79/36. Suppose -q - 6 = -7. Which is the nearest to o? (a) 4 (b) -2 (c) q c Let u(f) = f**3 - 34*f**2 - f + 34. Let r be u(34). What is the closest to 0 in -0.5, -4, 8, r? r Let v be -3 + (-26)/(-8) + -1. Let x = 3 - 2. Let t = 0.01 + -0.51. Which is the nearest to x? (a) v (b) -0.1 (c) t b Suppose 0 = -2*k + z + 7 - 2, 0 = -2*k - z - 5. Let g be (-8 - -1) + 2 + k. Let i = 9.1 + -10.1. Which is the closest to -1/2? (a) -3 (b) i (c) g b Let l = 2013 - 2054.94. Let z = -45 - l. Let w = z + 0.06. Which is the closest to 0.3? (a) w (b) 2/5 (c) -0.3 b Let p = -9/460 - -119627/1380. Let z = -85 + p. Which is the closest to -1? (a) 3/5 (b) z (c) -0.1 c Suppose -5*m = 2*j + 21, 4*j + 4*m + 7 = -5. Suppose -1 - 5 = -j*q. Which is the closest to q? (a) -3 (b) 5 (c) -0.1 b Let y be (-2)/1*12/60. Let d = -21 + 25. Which is the closest to y? (a) d (b) -1 (c) 2/5 b Let s = -6 + 11. Let i = 0.03 + 3.47. Let d = i - 3. What is the nearest to -1/6 in -1, s, d? d Let v = 0.6 - 1.4. Let j = v - -1. Let m = 290 + -4352/15. Which is the nearest to j? (a) 4 (b) 1/2 (c) m b Let y be 28/(-33) - 2/(-3). Let j = 78.039 + -78. Let t = j + 0.361. Which is the nearest to 1? (a) 4 (b) y (c) t c Let q = 12.08 - 11.98. Let v be -2 + (-1)/(5/(-12)). What is the closest to 1 in v, q, -1/6? v Let k(g) = 3*g + 7. Let u be k(-10). Let o = u - -19. Let b be (-10)/(-15)*(-6)/o. What is the closest to 0 in -0.3, -4, b? -0.3 Let j = 0.7 - 0.2. Let m(x) = x**2 - 7*x - 6. Let z be m(9). Let p be (13/(-16) - -1)/(18/z). Which is the nearest to 2/3? (a) j (b) p (c) -2 a Let i = -26 - -22. Suppose 3*u + 7 = 1. Which is the nearest to 1/2? (a) i (b) -0.2 (c) u b Suppose 4*j - 6 = 19*r - 24*r, -j = 5*r + 6. Let f be 1/2*(-4)/5. What is the closest to 0 in -5, f, r? f Let t be ((-8)/6)/((-26)/3). Suppose -2*r + 8*r = 0. Let b = 7.3 + -7. What is the closest to r in 0.1, t, b? 0.1 Let n = -6.26 - -6. Let v = n - -0.06. Let h = 1 + -0.9. What is the nearest to h in v, -1/6, 3? -1/6 Let x = -175 + 175.07. Which is the closest to 0.2? (a) -4/3 (b) x (c) 3/8 b Let i = 64 + -46. Let t = 1.7 - -16.6. Let z = i - t. Which is the nearest to 0.2? (a) -4 (b) z (c) 3/8 c Suppose -13*q + 29 = -12*q. Let g = q + -26. Suppose 3*r = -2*l - 14, r - l = g*r + 8. Which is the nearest to -2/9? (a) r (b) 0.5 (c) 2/13 c Let w = 23.5 - 19.5. Which is the closest to -1/5? (a) 3/8 (b) w (c) 2 a Let p be (-4)/18 + 6/27. Let k be -80 - -69 - (-12)/1. What is the closest to k in -5, p, 6? p Let p = 654 + -648. What is the closest to 3 in 3/8, -0.1, p? 3/8 Let h = 289/35 - 55/7. Let o = 64 + -69. Which is the nearest to h? (a) 0 (b) o (c) -4 a Let r(j) = j + 32. Suppose 3*h + 2*h + 4*q = -131, 2*h = -3*q - 51. Let p be r(h). Which is the closest to 2/9? (a) p (b) -3 (c) -2 c Let o = -0.1 + 0. Let a = -341 - -343. What is the closest to o in 0.5, a, 1/6? 1/6 Let k = 885 + -890. Let z = -2 - -5. Let o = z + -3.3. What is the closest to 2/3 in k, o, 1? 1 Let h = 22270 + -22270. Suppose -2 = -3*j - 11. What is the nearest to h in 0.04, j, 2? 0.04 Let u = 2.27 - 2.37. What is the closest to 0 in -3/4, u, 0.5? u Suppose 5*z - 20 = 10*z. Let u be ((-6)/z)/((-3)/(-4)). Let l be (2*u/(-3))/(-2). Which is the nearest to l? (a) -1/2 (b) 3 (c) 4 a Let m = 386 + -388. Let l be 12/(-3 - -6) + 0. Which is the nearest to -3? (a) m (b) -0.1 (c) l a Let v be (-5 + (-42)/(-8))*(-12)/9. Let k be (-10)/(-1) - (-6)/(-3). Suppose -2*y = k - 0. Which is the nearest to 0? (a) y (b) v (c) -1 b Suppose 0 = 33*m + 10 + 23. What is the closest to m in -0.04, 0.5, -2, -3? -0.04 Let g = -14.973 - 0.027. Let x = 15.1 + g. What is the nearest to 1 in -9/5, x, -5? x Let t = -9.02 + 9.12. Let x be (12/10 - 2) + 1. Let j = 0.2 - -0.8. Which is the closest to j? (a) x (b) -0.5 (c) t a Let s = -4.93 + 1.07. Let p = 0.14 - s. Let n be 13/28 - 4/(-14). Which is the closest to -1? (a) -4 (b) p (c) n c Suppose j + 0*j = -5*x + 32, 0 = -3*j - x + 26. Let u be 2/(-16) - j/28. Let t be (2/(-24))/((-3)/4). What is the nearest to 1 in -2/5, t, u? t Let b = 111.8 - 113. Let f = 0.53 - -0.07. Let t = b + f. What is the nearest to 1 in 5/4, t, 5? 5/4 Let u = -90 - -41. Let v = u + 51. What is the closest to 0.4 in v, -1, -0.5? -0.5 Suppose -2*j + 13 = 5*h, -3 = -j - 5*h + 6. Let w = 1808/3 + -603. Which is the closest to -2? (a) 0 (b) j (c) w c Let i = -3661/6 + 610. What is the closest to -0.2 in 0.3, -2, i? i Let q = 21.64 - 31.64. What is the nearest to q in 1, -1/3, 0.5, 0? -1/3 Let r = 0.734 - 0.624. Which is the nearest to 0.3? (a) r (b) 5 (c) 0.5 a Let h = 348 - 349. Let f = 0.6 - 1.1. Suppose k = -k + 5*r - 1, 0 = -k + 2*r. Which is the closest to -0.1? (a) h (b) f (c) k b Let n = 7 - 7. Let g = -1367 - -4100/3. What is the closest to n in 5, g, -0.1? -0.1 Let i = 215 - 215.05. Which is the closest to 10? (a) i (b) -0.2 (c) -0.5 a Suppose -v - 2*i = -5*v + 14, -i = 5*v - 14. Let c(k) = k + 3. Let u be c(-4). Let w be (u/v)/(3/(-6)). What is the closest to w in -1, -2, 3/4? 3/4 Let b = 755.92 + -756. What is the closest to -2 in b, -1/4, -12? -1/4 Let z = 2.6 + -2.2. Let t = 2.6 - 0.6. What is the nearest to 2 in t, z, 5? t Let s = -19.09 + 0.09. Let p = s - -18. Which is the nearest to p? (a) 2/13 (b) 0.4 (c) 2/3 a Let f = -4 - -4. Let z = f + -1. Let a = -6.04 - -6. What is the closest to a in z, -4/5, -0.2? -0.2 Let j = -1.565 - -3.565. What is the closest to j in 188, 0.3, -0.5? 0.3 Let d = 0.0399 - -0.1601. Let n = 2 - 0. Which is the closest to 1/4? (a) d (b) n (c) 0 a Let m be 147/49*(-2)/(-51). What is the closest to 1 in m, -1, 0.1? m Let u be (-6)/4*1/4*-4. What is the nearest to 0.01 in -3/5, u, 0.03? 0.03 Let h = -770 + 769.8. What is the closest to 7/20 in 1/6, -0.4, -2, h? 1/6 Suppose 5*i - 2*l - 20 + 5 = 0, -3*i + 3*l = -9. Suppose -2*p = -i*j + 20, 5*p + 24 = 4*j - 3*j. What is the nearest to -0.2 in -0.1, -4, j? -0.1 Let o = 63.6 - 64. Which is the closest to -1? (a) -3/5 (b) 0.23 (c) 3 (d) o a Let l = 59.2 - 59. Which is the nearest to l? (a) -1 (b) 1 (c) 0.06 (d) 5/2 c Let r = 8.3 + -8.4. Let p = 48 - 48.4. What is the nearest to r in 0.1, 2, p? 0.1 Let r be (-9)/12 - (-11)/4. Let i(t) = 4*t - 1. Let s be 10 - 10 - (-1)/(-1). Let u be i(s). Which is the closest to r? (a) u (b) -0.1 (c) -1/2 b Let k(i) = -2*i + 21. Suppose 4*n = -5*v + 71, 4*v = n - 6*n + 64. Let w be k(v). Suppose 2 = 2*g - 0. Which is the nearest to g? (a) w (b) -0.5 (c) -2/9 c Suppose -d - 6 = 2*d. Let g be 0/d*1/(-3). Let j be ((-10)/25)/(21/15). Which is the closest to g? (a) -4 (b) -5 (c) j c Let q = -10.44 - -9.44. Let a be (6/105)/((-2)/10). What is the nearest to q in a, -3, -2/5? -2/5 Let z = -18 - -92/5. Which is the closest to 7? (a) -4/7 (b) -3 (c) z c Let n = 0.25 + 0.15. Let o be -7 - -8 - (-40)/(-50). Which is the closest to -1? (a) 5 (b) n (c) o c Let i = -1769 - -12382/7. Which is the closest to -2/5? (a) i (b) -5 (c) 1/4 (d) -0.2 d Let i = -114.968 + -0.032. Let p = i + 120. Let l = -0.36 + 0.06. What is the closest to 0 in 1/3, p, l? l
{ "pile_set_name": "DM Mathematics" }
1, 171, -23 in descending order. 171, -1, -4, -5, -23 Put 4, -262994, 0 in increasing order. -262994, 0, 4 Put 31194, -437, -4 in ascending order. -437, -4, 31194 Sort -1/279, 0.5, -0.055, 3, 2/15. -0.055, -1/279, 2/15, 0.5, 3 Put -2, -1608, 780 in increasing order. -1608, -2, 780 Put -8, -0.9845, -11, 4 in descending order. 4, -0.9845, -8, -11 Sort 0.034, 0.3, 26/391 in decreasing order. 0.3, 26/391, 0.034 Sort -33, -1, 5, -99, -2 in increasing order. -99, -33, -2, -1, 5 Put 0.9, 1/6, 20.81, -1/5, 148 in ascending order. -1/5, 1/6, 0.9, 20.81, 148 Sort -5, 3, -37, -3/8, -15/13, 77 in decreasing order. 77, 3, -3/8, -15/13, -5, -37 Put 4/5, 3, 0.5, 4456989, -4 in descending order. 4456989, 3, 4/5, 0.5, -4 Sort 11, -2/9, 22729/48, -4/5 in descending order. 22729/48, 11, -2/9, -4/5 Sort 3, 6, -67, -9, -1, 1, 15. -67, -9, -1, 1, 3, 6, 15 Sort 4, 220, -18, 3, -8, -10, -4 in descending order. 220, 4, 3, -4, -8, -10, -18 Sort -2, 0.07, -0.2, -6, 5, 497 in increasing order. -6, -2, -0.2, 0.07, 5, 497 Sort -1/5, -3/7, 1/8029, 60. -3/7, -1/5, 1/8029, 60 Put 0.08, 4/154807, 4, -4 in descending order. 4, 0.08, 4/154807, -4 Sort 0, 80, 0.07, 0.22, -1/5, 0.036 in increasing order. -1/5, 0, 0.036, 0.07, 0.22, 80 Sort -5, -1, 284, 493 in increasing order. -5, -1, 284, 493 Put 4, -39, 44, -4, -9 in descending order. 44, 4, -4, -9, -39 Put -66912, 3, 0, 1 in decreasing order. 3, 1, 0, -66912 Sort 6, 5, -0.05013, 0.1, 12 in ascending order. -0.05013, 0.1, 5, 6, 12 Sort -2330, -424, -5 in descending order. -5, -424, -2330 Sort 25/14, -14, 0.04, -1/5 in increasing order. -14, -1/5, 0.04, 25/14 Put -4, -2, 1, 130, -118 in increasing order. -118, -4, -2, 1, 130 Put -24.4, -62326, -0.1, 0.1 in ascending order. -62326, -24.4, -0.1, 0.1 Put -40.4, 2/13, -248648, -0.3 in descending order. 2/13, -0.3, -40.4, -248648 Put 4, -1, 2, 3, -5, 28, -19 in increasing order. -19, -5, -1, 2, 3, 4, 28 Put 5, 2, 214, -1129 in descending order. 214, 5, 2, -1129 Sort -5, 28, 0, -206, -29. -206, -29, -5, 0, 28 Sort 149211, -598, 0.2 in decreasing order. 149211, 0.2, -598 Sort -4/5, -0.2, 50, 1, 118/11 in descending order. 50, 118/11, 1, -0.2, -4/5 Sort -2, 40, 0, 4, 3.319, 0.05 in ascending order. -2, 0, 0.05, 3.319, 4, 40 Sort 5, 4, -14661, 65 in decreasing order. 65, 5, 4, -14661 Sort 5, 1, 260, -2, -12, 1998 in descending order. 1998, 260, 5, 1, -2, -12 Sort -2, 104, -5, -9, 8, 4. -9, -5, -2, 4, 8, 104 Put 3, -99, -19, 5, 60 in ascending order. -99, -19, 3, 5, 60 Sort 5, 2, 4, 255, 24, -111. -111, 2, 4, 5, 24, 255 Sort -21656, 122, -4 in ascending order. -21656, -4, 122 Put 2, 2/3, -0.45, 2/9, 69824, -2 in descending order. 69824, 2, 2/3, 2/9, -0.45, -2 Sort -2, -1, 1807774 in decreasing order. 1807774, -1, -2 Put -1, -419, 2, -299, 18 in decreasing order. 18, 2, -1, -299, -419 Sort -191, 3547, 10 in descending order. 3547, 10, -191 Sort 1/4, -0.6551, 0.5, 1, -125 in increasing order. -125, -0.6551, 1/4, 0.5, 1 Put 432, -7, -25, 2 in decreasing order. 432, 2, -7, -25 Sort 2.7997, -2, -5, -25, -4, 4 in decreasing order. 4, 2.7997, -2, -4, -5, -25 Sort 2, 270, 313 in decreasing order. 313, 270, 2 Sort 4/79, 57, 0, 2/3, -0.5 in descending order. 57, 2/3, 4/79, 0, -0.5 Sort -444, 8, -24, 47. -444, -24, 8, 47 Sort -4, 0.2, 8258, 11.7. -4, 0.2, 11.7, 8258 Sort 109, 8, 1/50, 5, -105 in descending order. 109, 8, 5, 1/50, -105 Sort 4390, 3, -3899. -3899, 3, 4390 Sort 33, -7, -86, -5, 100, -2 in ascending order. -86, -7, -5, -2, 33, 100 Sort -4693, -84, -0.2, 4, 0. -4693, -84, -0.2, 0, 4 Sort 0.102, 3, 1/10, 25, -24 in increasing order. -24, 1/10, 0.102, 3, 25 Sort -1, -140355641, 4 in increasing order. -140355641, -1, 4 Put 8.863, -9, 0.4, 1, 0.2, 22 in increasing order. -9, 0.2, 0.4, 1, 8.863, 22 Put -51, -5, -4, -6, 3, -21, -8 in decreasing order. 3, -4, -5, -6, -8, -21, -51 Sort -6.6, 0.2, 46, 38/7 in increasing order. -6.6, 0.2, 38/7, 46 Put -881000, 2, -0.1 in ascending order. -881000, -0.1, 2 Sort 13, -180, 1, 5, -50 in increasing order. -180, -50, 1, 5, 13 Put 2/75, -2/5, 14054, 0, 2/17, -1 in decreasing order. 14054, 2/17, 2/75, 0, -2/5, -1 Sort 4, 0, -12101, 1, -28 in decreasing order. 4, 1, 0, -28, -12101 Sort 3.92, 3.5, 1181 in ascending order. 3.5, 3.92, 1181 Sort 4, 1, -3, -5.7, -35, 0.8 in ascending order. -35, -5.7, -3, 0.8, 1, 4 Put -2/5, 1, -7/2, -3, 48/113, 27 in increasing order. -7/2, -3, -2/5, 48/113, 1, 27 Put 21, 2, -17, 1027 in ascending order. -17, 2, 21, 1027 Put -3, -10, -3.41, -68, 2 in descending order. 2, -3, -3.41, -10, -68 Sort -185, 5, 0, -5, -2, 35 in increasing order. -185, -5, -2, 0, 5, 35 Sort 5, -69116, -4, -1/493, -1 in ascending order. -69116, -4, -1, -1/493, 5 Put -2, 4, 3, -4, -3, -435 in decreasing order. 4, 3, -2, -3, -4, -435 Sort -1, -296, -4/5, 4 in descending order. 4, -4/5, -1, -296 Sort 33311, -1, -13, -3/7, 5 in decreasing order. 33311, 5, -3/7, -1, -13 Put -3, -2, -9, 100, 2, 25 in increasing order. -9, -3, -2, 2, 25, 100 Put 7, 17, -13, 0.5, 4, 71/5 in increasing order. -13, 0.5, 4, 7, 71/5, 17 Sort -108, 9, -1160, -4 in decreasing order. 9, -4, -108, -1160 Put -81/26, -4, 0.036, -0.3 in decreasing order. 0.036, -0.3, -81/26, -4 Sort 40, -5, 2, -4739, -3, -1 in ascending order. -4739, -5, -3, -1, 2, 40 Sort -8, 9, -3, -5, 824 in decreasing order. 824, 9, -3, -5, -8 Put -18, -474743, -3, -9 in ascending order. -474743, -18, -9, -3 Sort -12, 4, 169, -1, 33 in ascending order. -12, -1, 4, 33, 169 Put -1/2, 1/62, 4/157, 5, 2/3, 1/2 in descending order. 5, 2/3, 1/2, 4/157, 1/62, -1/2 Put 7, 1, -26, -1, 25, 4 in descending order. 25, 7, 4, 1, -1, -26 Put -7, -1092, -5, -31 in decreasing order. -5, -7, -31, -1092 Sort -21925, 69, 1 in decreasing order. 69, 1, -21925 Put -1, 0, 35, 4, -3, -5, -10356 in descending order. 35, 4, 0, -1, -3, -5, -10356 Sort 13392, -3, -2 in decreasing order. 13392, -2, -3 Sort 3, 4, 0, -5, 89176 in decreasing order. 89176, 4, 3, 0, -5 Put 0, -17, 58, -1, 22, -0.4 in decreasing order. 58, 22, 0, -0.4, -1, -17 Sort 2, -113, 0, -283, 3, -4 in decreasing order. 3, 2, 0, -4, -113, -283 Put 2005, -0.081, -0.4, -2/9, 5 in ascending order. -0.4, -2/9, -0.081, 5, 2005 Put -986442, -5, -1 in descending order. -1, -5, -986442 Put 3, -167, -4, 3/5, 7/421 in descending order. 3, 3/5, 7/421, -4, -167 Put 54, 10, 2, -5, -97 in descending order. 54, 10, 2, -5, -97 Sort 0.1, 33, 0.69, -5, 10, 0.01 in increasing order. -5, 0.01, 0.1, 0.69, 10, 33 Put -136.5, -0.148, 0.17 in decreasing order. 0.17, -0.148, -136.5 Sort 2, -3, -2811483 in ascending order. -2811483, -3, 2 Sort 3098, 56, -2/7, 4, 3. -2/7, 3, 4, 56, 3098 Sort 18, -12, 0, 669, 1. -12, 0, 1, 18, 669 Sort -7.1, 1/5, 0.0877, 1 in increasing order. -7.1, 0.0877, 1/5, 1 Sort 1, -1/7, 138, 3, -4, 2451 in decreasing order. 2451, 138, 3, 1, -1/7, -4 Put -5380, 0, -0.03, 30/7 in ascending order. -5380, -0.03, 0, 30/7 Sort 9, -5, 2, -4, -14704, 5, -1 in descending order. 9, 5, 2, -1, -4, -5, -14704 Sort -5, 110096, 419. -5, 419, 110096 Put -1/1339, 0.03, -2.9 in decreasing order. 0.03, -1/1339, -2.9 Put -0.64, -118, -25, 1/4, -4 in descending order. 1/4, -0.64, -4, -25, -118 Sort -68, 69, -33, -9, -4 in ascending order. -68, -33, -9, -4, 69 Put 24/5, -38, 0, 2.17 in decreasing order. 24/5, 2.17, 0, -38 Sort 3348, 7, -19, 17. -19, 7, 17, 3348 Put -4, -34, 46, -1, -451 in descending order. 46, -1, -4, -34, -451 Sort -1/6, 129.8179, -1/2. -1/2, -1/6, 129.8179 Put 8034, -10, -5, 0.0568 in descending order. 8034, 0.0568, -5, -10 Sort 4, 0.4, -596, 0.01, -1/4 in descending order. 4, 0.4, 0.01, -1/4, -596 Sort -10, 0, 5/16, -1.19 in decreasing order. 5/16, 0, -1.19, -10 Put -16, -42, -5, 55 in decreasing order. 55, -5, -16, -42 Sort 3.2, 11/7, 85, -235 in ascending order. -235, 11/7, 3.2, 85 Sort 295, 3591, 3 in decreasing order. 3591, 295, 3 Sort -1, 138, -6, 41 in decreasing order. 138, 41, -1, -6 Put 32058, 17, 2, 1, -2, -5 in descending order. 32058, 17, 2, 1, -2, -5 Sort -9, 3, -10, 26, -8, -5, 73. -10, -9, -8, -5, 3, 26, 73 Put -1096, -0.3, 3.8, -107, 1/5 in ascending order. -1096, -107, -0.3, 1/5, 3.8 Sort -5.57, -0.06, 11.8, -0.3, -5. -5.57, -5, -0.3, -0.06, 11.8 Sort -3, -7, 3, 1196, 1, 13, 5 in descending order. 1196, 13, 5, 3, 1, -3, -7 Sort 5, -9, 1, 40198, 4, -0.3. -9, -0.3,
{ "pile_set_name": "DM Mathematics" }
at is -67.69 rounded to the nearest 10? -70 What is -0.000007938 rounded to 6 dps? -0.000008 Round -30514 to the nearest 1000. -31000 Round -0.1878 to 1 dp. -0.2 What is 4.895 rounded to the nearest integer? 5 What is 1.0115 rounded to two dps? 1.01 What is -0.0000040312 rounded to 7 dps? -0.000004 Round -1545700 to the nearest one hundred thousand. -1500000 What is -525.5 rounded to the nearest 10? -530 Round 10628.2 to the nearest ten thousand. 10000 What is -0.23887 rounded to 2 decimal places? -0.24 What is -12.37 rounded to the nearest integer? -12 Round -0.00000027 to seven decimal places. -0.0000003 What is 161200 rounded to the nearest 10000? 160000 Round -0.0017327 to three decimal places. -0.002 What is -559550 rounded to the nearest 1000? -560000 Round -1.7684 to two decimal places. -1.77 What is 5590.8 rounded to the nearest 1000? 6000 What is -1795.27 rounded to the nearest ten? -1800 Round 0.0020807 to 4 decimal places. 0.0021 What is 2.8242 rounded to 0 dps? 3 Round 0.0012343 to 4 decimal places. 0.0012 What is 0.000000526 rounded to 7 dps? 0.0000005 What is 6103.7 rounded to the nearest one thousand? 6000 Round -0.000015561 to 7 dps. -0.0000156 What is -0.00000645 rounded to 6 dps? -0.000006 What is -27.663 rounded to one decimal place? -27.7 Round -0.0015885 to four dps. -0.0016 What is -0.0002277 rounded to five dps? -0.00023 Round -128900 to the nearest ten thousand. -130000 What is 0.0000009925 rounded to 7 decimal places? 0.000001 What is 0.164 rounded to 2 decimal places? 0.16 Round 0.000001301 to seven dps. 0.0000013 Round -0.0093027 to 4 dps. -0.0093 Round -2837000 to the nearest 100000. -2800000 Round -0.00034066 to five dps. -0.00034 What is 0.0000061257 rounded to 6 decimal places? 0.000006 Round -13.09 to one dp. -13.1 Round -0.001793 to four decimal places. -0.0018 What is -6621000 rounded to the nearest 100000? -6600000 What is -741.3 rounded to the nearest one hundred? -700 Round 0.000121643 to 6 decimal places. 0.000122 What is -11264000 rounded to the nearest 1000000? -11000000 What is -0.0000042012 rounded to 7 decimal places? -0.0000042 Round -99440 to the nearest one thousand. -99000 What is -2397200 rounded to the nearest ten thousand? -2400000 What is 371010000 rounded to the nearest one million? 371000000 What is 0.003603 rounded to four dps? 0.0036 What is 17930 rounded to the nearest one thousand? 18000 Round -1937600 to the nearest 100000. -1900000 Round -8705000 to the nearest 100000. -8700000 What is -0.0185 rounded to 3 dps? -0.019 Round 5199.9 to the nearest 100. 5200 What is 5463000 rounded to the nearest one million? 5000000 Round 195530 to the nearest ten thousand. 200000 Round 1305.04 to the nearest 10. 1310 What is 0.0015941 rounded to 4 decimal places? 0.0016 Round 0.0090276 to 3 dps. 0.009 Round 103800 to the nearest 10000. 100000 What is -2178000 rounded to the nearest 1000000? -2000000 Round -26100 to the nearest one hundred thousand. 0 What is -1655 rounded to the nearest 1000? -2000 What is -2.971 rounded to the nearest integer? -3 What is 0.000000694 rounded to 7 decimal places? 0.0000007 What is -21187500 rounded to the nearest one million? -21000000 Round -0.000001269 to 6 decimal places. -0.000001 What is 630 rounded to zero decimal places? 630 What is 168.68 rounded to the nearest integer? 169 Round 25588 to the nearest 100. 25600 Round -0.0031279 to 3 dps. -0.003 What is -0.0001552 rounded to 5 decimal places? -0.00016 Round -22.68 to the nearest 10. -20 What is 95360 rounded to the nearest one thousand? 95000 Round -0.000000666023 to 7 decimal places. -0.0000007 What is 292 rounded to the nearest ten? 290 What is -0.00000196 rounded to 6 dps? -0.000002 Round 1031000 to the nearest one hundred thousand. 1000000 Round 1210.4 to the nearest 10. 1210 Round -0.00273136 to five decimal places. -0.00273 What is -87800 rounded to the nearest ten thousand? -90000 What is -77900 rounded to the nearest 1000? -78000 What is 64.35 rounded to the nearest ten? 60 Round -6623000 to the nearest 100000. -6600000 What is 0.00004003 rounded to 6 decimal places? 0.00004 What is -3.2372 rounded to 1 dp? -3.2 What is 2.121 rounded to 1 decimal place? 2.1 Round -25070 to the nearest 1000. -25000 Round -276800 to the nearest ten thousand. -280000 What is 0.000276 rounded to 4 decimal places? 0.0003 What is -183332 rounded to the nearest ten thousand? -180000 Round -0.000002746 to 7 dps. -0.0000027 What is 0.00001745 rounded to 5 decimal places? 0.00002 Round 602.1 to the nearest 10. 600 What is -0.000001114 rounded to 7 dps? -0.0000011 What is 0.017614 rounded to 4 decimal places? 0.0176 Round 43.89 to the nearest integer. 44 What is -0.00005181 rounded to 5 decimal places? -0.00005 Round 0.000203775 to 4 dps. 0.0002 What is -935440 rounded to the nearest 100000? -900000 What is -384.1 rounded to the nearest one hundred? -400 What is 960 rounded to the nearest one thousand? 1000 Round 45010.3 to the nearest 100. 45000 What is 10604000 rounded to the nearest 1000000? 11000000 What is -0.8518 rounded to 1 dp? -0.9 Round 163 to the nearest 10. 160 What is -80554000 rounded to the nearest 1000000? -81000000 Round -0.30284 to two decimal places. -0.3 What is -4469100 rounded to the nearest 100000? -4500000 Round 146.154 to the nearest 100. 100 What is 576.3 rounded to the nearest ten? 580 What is 361.3 rounded to the nearest 10? 360 Round -531.7 to the nearest one thousand. -1000 Round -0.0000029263 to seven dps. -0.0000029 Round 0.00005909 to six decimal places. 0.000059 What is 39.66 rounded to the nearest 10? 40 What is -0.00000124012 rounded to 7 decimal places? -0.0000012 What is 0.028094 rounded to four dps? 0.0281 What is -531700 rounded to the nearest 100000? -500000 Round -1.8348 to one dp. -1.8 What is 532110 rounded to the nearest 1000? 532000 What is -0.000009128 rounded to six dps? -0.000009 What is -4.382 rounded to the nearest ten? 0 What is -3876000 rounded to the nearest one hundred thousand? -3900000 What is 0.00024103 rounded to six decimal places? 0.000241 Round -0.0636 to three dps. -0.064 What is 33470 rounded to the nearest one hundred? 33500 What is 0.001533 rounded to four dps? 0.0015 Round -1695900 to the nearest one hundred thousand. -1700000 Round -0.000009727 to 6 decimal places. -0.00001 What is -2714.5 rounded to the nearest one hundred? -2700 Round -514400 to the nearest one hundred thousand. -500000 What is -0.00013272 rounded to 5 dps? -0.00013 Round -0.00000623 to 6 dps. -0.000006 What is -752.3 rounded to the nearest 10? -750 What is 0.00000494 rounded to seven decimal places? 0.0000049 Round -0.0016 to three dps. -0.002 What is -5387100 rounded to the nearest 1000000? -5000000 Round -0.0316 to 2 dps. -0.03 Round -0.000010306 to 7 dps. -0.0000103 What is 0.30957 rounded to 2 dps? 0.31 Round -2.2747 to 1 decimal place. -2.3 Round -0.00000029862 to 7 decimal places. -0.0000003 Round 4.484 to one dp. 4.5 Round 332700 to the nearest one hundred thousand. 300000 Round -0.014536 to two decimal places. -0.01 Round -642000 to the nearest ten thousand. -640000 What is -74520 rounded to the nearest 1000? -75000 Round -235980 to the nearest one thousand. -236000 Round 18.544 to the nearest 100. 0 What is 13566 rounded to the nearest 1000? 14000 What is 4983.3 rounded to the nearest 10? 4980 What is 9.779 rounded to zero decimal places? 10 What is 211.4 rounded to the nearest ten? 210 What is -74.72 rounded to the nearest integer? -75 Round -0.07194 to 3 dps. -0.072 What is 22.692 rounded to one decimal place? 22.7 Round -1754000 to the nearest one million. -2000000 What is -13520 rounded to the nearest 1000? -14000 What is 0.0449 rounded to 2 decimal places? 0.04 What is 0.00000527 rounded to 5 decimal places? 0.00001 What is 0.10544 rounded to three dps? 0.105 Round 170700 to the nearest 1000. 171000 Round 0.20107 to three dps. 0.201 What is -118.24 rounded to zero dps? -118 Round 0.9146 to 1 dp. 0.9 Round 256.8 to 0 dps. 257 What is -0.34 rounded to 1 dp? -0.3 What is 0.05764 rounded to 2 dps? 0.06 Round -0.00011008 to 5 decimal places. -0.00011 Round -0.033504 to two dps. -0.03 What is -3794.1 rounded to the nearest one thousand? -4000 What is 5.303 rounded to 1 decimal place?
{ "pile_set_name": "DM Mathematics" }
of 136 and 1598? 34 What is the greatest common factor of 68 and 102? 34 Calculate the greatest common factor of 245 and 112. 7 What is the greatest common divisor of 288 and 324? 36 Calculate the highest common divisor of 31 and 155. 31 Calculate the highest common divisor of 12 and 68. 4 Calculate the highest common divisor of 4922 and 642. 214 What is the greatest common divisor of 296 and 1448? 8 What is the highest common factor of 1312 and 6? 2 What is the highest common divisor of 13 and 689? 13 What is the highest common divisor of 252 and 112? 28 What is the highest common factor of 12 and 27? 3 Calculate the greatest common factor of 1088 and 51. 17 Calculate the greatest common factor of 621 and 81. 27 Calculate the highest common divisor of 22 and 2. 2 What is the greatest common factor of 2294 and 4958? 74 Calculate the greatest common factor of 112 and 98. 14 What is the highest common factor of 721 and 1339? 103 Calculate the greatest common divisor of 5 and 31. 1 Calculate the greatest common factor of 86 and 6278. 86 Calculate the highest common factor of 1352 and 1001. 13 What is the greatest common factor of 1820 and 26? 26 What is the greatest common divisor of 256 and 4320? 32 What is the greatest common divisor of 27 and 171? 9 What is the greatest common factor of 424 and 4558? 106 Calculate the highest common divisor of 15 and 215. 5 What is the highest common divisor of 35 and 14? 7 What is the highest common factor of 1883 and 7? 7 What is the greatest common divisor of 3832 and 16? 8 Calculate the highest common divisor of 90 and 1710. 90 What is the greatest common factor of 5513 and 149? 149 What is the greatest common factor of 32580 and 36? 36 What is the highest common factor of 475 and 133? 19 Calculate the greatest common divisor of 330 and 630. 30 What is the greatest common divisor of 55 and 1265? 55 Calculate the greatest common factor of 469 and 536. 67 What is the greatest common divisor of 747 and 63? 9 Calculate the highest common factor of 20 and 820. 20 What is the highest common divisor of 784 and 256? 16 What is the highest common divisor of 455 and 637? 91 Calculate the greatest common factor of 10 and 5470. 10 What is the greatest common factor of 2314 and 247? 13 What is the highest common factor of 152 and 16? 8 Calculate the greatest common factor of 73 and 15403. 73 Calculate the greatest common factor of 5 and 51. 1 What is the greatest common divisor of 130 and 310? 10 What is the highest common factor of 90 and 38655? 45 Calculate the highest common factor of 86 and 2. 2 Calculate the greatest common divisor of 1221 and 55. 11 Calculate the highest common factor of 52 and 702. 26 What is the highest common divisor of 448 and 5312? 64 What is the highest common factor of 1316 and 56? 28 Calculate the highest common divisor of 1755 and 975. 195 Calculate the highest common divisor of 5712 and 420. 84 Calculate the highest common divisor of 9 and 231. 3 Calculate the highest common factor of 46 and 122. 2 What is the highest common factor of 2433 and 3? 3 Calculate the highest common divisor of 2204 and 580. 116 Calculate the highest common factor of 126 and 294. 42 What is the greatest common factor of 608 and 64? 32 Calculate the highest common factor of 11413 and 101. 101 What is the highest common divisor of 34 and 442? 34 Calculate the highest common divisor of 602 and 910. 14 What is the highest common factor of 11596 and 52? 52 What is the greatest common divisor of 30 and 3840? 30 Calculate the highest common factor of 5845 and 28. 7 Calculate the greatest common divisor of 2510 and 50. 10 Calculate the highest common factor of 312 and 1612. 52 What is the highest common factor of 260 and 598? 26 Calculate the greatest common factor of 325 and 65. 65 Calculate the greatest common divisor of 63 and 112. 7 What is the greatest common divisor of 544 and 68? 68 Calculate the highest common factor of 111 and 407. 37 What is the greatest common divisor of 52 and 221? 13 What is the greatest common divisor of 435 and 6? 3 Calculate the highest common divisor of 142 and 6. 2 Calculate the greatest common factor of 552 and 138. 138 Calculate the highest common factor of 4 and 724. 4 What is the greatest common factor of 1363 and 232? 29 What is the highest common factor of 340 and 323? 17 Calculate the greatest common divisor of 378 and 231. 21 What is the greatest common divisor of 11436 and 60? 12 Calculate the greatest common divisor of 10872 and 18. 18 What is the highest common divisor of 1407 and 5025? 201 Calculate the highest common factor of 539 and 11. 11 Calculate the highest common factor of 18 and 219. 3 Calculate the highest common divisor of 9 and 78. 3 Calculate the greatest common factor of 768 and 114. 6 What is the highest common divisor of 21110 and 10? 10 What is the greatest common divisor of 8 and 128? 8 Calculate the greatest common factor of 112 and 252. 28 Calculate the highest common factor of 6534 and 162. 54 What is the highest common factor of 372 and 9021? 93 What is the highest common factor of 7756 and 56? 28 Calculate the greatest common divisor of 161 and 943. 23 Calculate the greatest common divisor of 27 and 153. 9 Calculate the greatest common factor of 145 and 116145. 145 What is the greatest common factor of 40 and 1180? 20 Calculate the greatest common factor of 113 and 8249. 113 What is the greatest common factor of 1212 and 27068? 404 What is the highest common factor of 26 and 403? 13 What is the greatest common divisor of 8 and 7? 1 Calculate the greatest common divisor of 8 and 64. 8 Calculate the greatest common factor of 156 and 39. 39 Calculate the highest common divisor of 9359 and 573. 191 Calculate the greatest common factor of 1751 and 309. 103 What is the greatest common factor of 390 and 420? 30 Calculate the greatest common divisor of 164 and 41. 41 What is the greatest common factor of 234 and 36? 18 Calculate the highest common divisor of 125 and 6125. 125 What is the highest common factor of 3290 and 188? 94 What is the greatest common divisor of 300 and 3? 3 What is the highest common divisor of 56 and 65548? 28 What is the highest common factor of 3621 and 51? 51 Calculate the greatest common factor of 648 and 1053. 81 What is the greatest common factor of 6 and 438? 6 What is the greatest common factor of 10 and 195? 5 What is the greatest common factor of 5 and 8? 1 What is the highest common divisor of 124 and 1364? 124 Calculate the highest common divisor of 120 and 21810. 30 What is the greatest common divisor of 150 and 250? 50 Calculate the greatest common divisor of 60 and 18. 6 Calculate the highest common divisor of 35 and 15. 5 What is the highest common factor of 408 and 288? 24 Calculate the highest common factor of 68 and 3298. 34 What is the greatest common factor of 1598 and 141? 47 Calculate the highest common divisor of 726 and 1518. 66 What is the highest common factor of 3325 and 2975? 175 Calculate the highest common factor of 237 and 41. 1 Calculate the greatest common factor of 692 and 1557. 173 Calculate the greatest common factor of 153 and 1513. 17 What is the highest common divisor of 37 and 666? 37 What is the greatest common factor of 247 and 76? 19 Calculate the highest common divisor of 572 and 13. 13 What is the greatest common factor of 1243 and 3842? 113 Calculate the greatest common factor of 189 and 243. 27 What is the highest common factor of 183 and 15? 3 Calculate the greatest common divisor of 2035 and 2405. 185 What is the highest common factor of 16 and 108? 4 What is the highest common factor of 23230 and 460? 230 Calculate the highest common factor of 70 and 470. 10 Calculate the greatest common divisor of 204 and 84. 12 Calculate the greatest common divisor of 80030 and 53. 53 What is the highest common factor of 22 and 418? 22 What is the greatest common factor of 900 and 135? 45 Calculate the greatest common factor of 19 and 589. 19 Calculate the greatest common factor of 775 and 25. 25 What is the highest common factor of 1512 and 828? 36 Calculate the greatest common divisor of 246 and 28618. 82 What is the greatest common divisor of 3211 and 171? 19 Calculate the highest common d
{ "pile_set_name": "DM Mathematics" }
) 0 (e) 0.4 b Which is the third biggest value? (a) -4 (b) -37 (c) -3 (d) 0.1 (e) 0.2 c What is the smallest value in 8, 0.3, -6.2, -4? -6.2 What is the third biggest value in -3, -23, 5, -199/18, 0.5? -3 Which is the third smallest value? (a) 0.1 (b) 117 (c) -1.8 (d) -4.1 a What is the third biggest value in -2, 1/4, 12, -5? -2 What is the smallest value in 1/2, 1995, -22? -22 What is the second smallest value in -5/62, -5, 108, -5/3? -5/3 Which is the fourth smallest value? (a) -4 (b) 525 (c) 58 (d) -0.1 b Which is the second smallest value? (a) 0.0287 (b) 1 (c) 0.2 c Which is the second biggest value? (a) 3/4663 (b) -4 (c) 0.2 (d) -2/7 (e) 1/2 (f) 0.4 f What is the fourth biggest value in 1.4, 2, -2/19, 3, 0.6, -0.24? 0.6 Which is the second biggest value? (a) -4 (b) 3 (c) -974 a What is the third biggest value in -1/93, 1/2, 1.3? -1/93 What is the biggest value in 136, 3/4, -2/541, 0.4? 136 Which is the third smallest value? (a) -93 (b) 0.2 (c) 4 (d) -2/7 (e) -2 (f) -4.9 e Which is the smallest value? (a) 5 (b) 1/4 (c) 11 (d) 0.04 (e) -29 e What is the third smallest value in -3.6, -2/5, 6, 0.17, 4? 0.17 What is the third smallest value in 7, 5, -0.5, -511? 5 What is the third biggest value in -3, 0.08, -7/6, 2, 11? 0.08 What is the second biggest value in 17, -1, 0, 118, -3? 17 Which is the fourth smallest value? (a) 1/4 (b) -2/19 (c) -8857 (d) -3/8 a What is the second smallest value in -774, 13, 4? 4 Which is the third smallest value? (a) -8/5 (b) 14.3 (c) -2/7 (d) 0.1 (e) -9 c Which is the third biggest value? (a) 3 (b) -58/5 (c) -0.066 b What is the third smallest value in 0, -3/2, -4481, -2/105? -2/105 What is the second smallest value in -0.06, -2, 0.004, -4, -1, 19? -2 Which is the second biggest value? (a) 0.4 (b) -67 (c) 22/35 a What is the fourth biggest value in 1, -12/91, -0.1, 3/5, -1? -12/91 Which is the second smallest value? (a) -6 (b) -510 (c) -4 a What is the second smallest value in -1, 5, 1, 46, -115, -6? -6 Which is the biggest value? (a) -2 (b) -7 (c) -9 (d) 0 (e) -4 (f) -5 d Which is the third smallest value? (a) 1/14 (b) 0.1 (c) 2/5 (d) -1.147 b Which is the second smallest value? (a) 0.19 (b) -2/35 (c) 9 (d) 2 a Which is the fourth biggest value? (a) -4 (b) -2/51 (c) -0.04 (d) 1/5 a What is the biggest value in -3/2, -2520, 6, 0? 6 What is the second biggest value in 9.2, -3/8, 3.373? 3.373 Which is the third smallest value? (a) -22 (b) 1 (c) 12 (d) 0 (e) 2 (f) 0.03 f Which is the smallest value? (a) -154 (b) -16 (c) -11 a Which is the fourth biggest value? (a) -15 (b) 6/7 (c) 2/11 (d) -1 (e) -0.3 (f) -4/7 f What is the fourth biggest value in 4, -0.3, 145/306, -14? -14 What is the fourth biggest value in 3/7, 17.3, -5, 2, 42, -0.5? 3/7 What is the third biggest value in 1.3, 1/3, -31? -31 Which is the sixth biggest value? (a) -1 (b) -2 (c) 1 (d) -2/17 (e) -51 (f) 3 e Which is the smallest value? (a) -5 (b) -110/13 (c) -0.2 (d) 0 (e) -1 b What is the biggest value in 646.88, 6, -4? 646.88 What is the second biggest value in 2/5, 8, -334.6? 2/5 Which is the third smallest value? (a) -2/9 (b) 1/208 (c) -39 b What is the smallest value in 281/2, 1, -0.4, -1058, 0.5? -1058 Which is the second biggest value? (a) 1 (b) -4/3 (c) -151 (d) -0.05 d What is the fourth smallest value in 193, 0.3, 0.1, -3, 1/147? 0.3 What is the second smallest value in 867, 0.5, 0.1, -6? 0.1 What is the biggest value in -282, -5, -0.801? -0.801 Which is the third biggest value? (a) 408.5 (b) 4/7 (c) 3 (d) 4/3 d Which is the fifth smallest value? (a) 1/6 (b) 1/52 (c) -4/5 (d) 33 (e) -1/11 d What is the second smallest value in -54, 3/4, 0.32? 0.32 What is the third biggest value in 2, 25, 3, 3/2, 0.06, -0.19? 2 Which is the second smallest value? (a) 5/4 (b) -2/73 (c) -1 (d) 132 (e) -17 c What is the smallest value in -0.1, 0.06, 5, -75/2? -75/2 What is the second smallest value in -3, -77, 3/49, -2? -3 Which is the third biggest value? (a) 152 (b) -15 (c) 1 (d) 0.2 (e) 3/7 e What is the fourth biggest value in -5, 2/7, 9, -16, 1/2, 0? 0 What is the second biggest value in 0.052, 13/21, 4, -4? 13/21 Which is the fifth biggest value? (a) 2/15 (b) -5 (c) 55 (d) -4/9 (e) 0 (f) -2/65 d What is the biggest value in -72, -877, -0.2? -0.2 What is the second biggest value in -1/2, 1/2, 2909, -0.3? 1/2 What is the second biggest value in -0.1, 11, -2.6, -10, 1/6? 1/6 What is the second biggest value in 19, 0.5, 12, -0.01, -0.1? 12 What is the fourth biggest value in 0.1, 2161, 16, 3? 0.1 Which is the second smallest value? (a) -0.0315 (b) 5 (c) -300 a What is the third smallest value in -0.18, -1, -4, 0.5, 5? -0.18 What is the fifth smallest value in 1.9, 3, -42, 0.3, 2/5? 3 Which is the second biggest value? (a) 0.37 (b) -10/9 (c) -1/35 (d) 0.2 d Which is the third smallest value? (a) 4/1175 (b) -0.3 (c) 1/16 (d) 1/2 c Which is the fifth smallest value? (a) -0.5 (b) 1 (c) 3.3 (d) 0 (e) -0.15 (f) 3 f What is the second biggest value in 0.27, -2, -7? -2 What is the second smallest value in -3, -0.1, -2/2069? -0.1 What is the third biggest value in -2/11, -30, -5, 5, -40/7? -5 Which is the third smallest value? (a) -0.3 (b) -4/263 (c) -2/5 (d) 3/7 (e) -1/5 e What is the second biggest value in 3, -0.2, -6936, -1, 0.5, 1/7? 0.5 Which is the second smallest value? (a) 9 (b) -27 (c) 23 a Which is the second biggest value? (a) 27 (b) -6/7 (c) 4 c What is the third smallest value in -0.4, 3, -2, -3/22, 29.5? -3/22 Which is the third biggest value? (a) 3 (b) 1366 (c) -2/15 c What is the smallest value in -0.19, -788, 4, 0.2, -5? -788 Which is the biggest value? (a) -3/2729 (b) 1 (c) -5 (d) -1/2 b Which is the second biggest value? (a) 4/15 (b) -5 (c) 21/22 a Which is the third smallest value? (a) -0.4 (b) 9 (c) 100 (d) -1/3 (e) -5 d What is the third smallest value in -1/11, -19, 0, -5? -1/11 Which is the second smallest value? (a) -1 (b) -3/2 (c) 0.3 (d) 0 (e) -0.1 (f) -22/3 b Which is the third smallest value? (a) -0.12 (b) -5 (c) -1 (d) -0.2 (e) 132 d What is the fourth smallest value in -1, -0.3, -2, 100, -4? -0.3 Which is the second smallest value? (a) 0.3 (b) 18/179 (c) 0.02 (d) 5 b What is the third smallest value in 6/5, -4, 10104? 10104 What is the smallest value in 0, -3/2, -0.0613, -4, 1/4? -4 Which is the second smallest value? (a) -137 (b) -0.743 (c) 1 b What is the second smallest value in -14, -0.2, -3, -19, -0.05, -0.38? -14 What is the fourth biggest value in 1/7, 2/5, 2/125, -3/7? -3/7 What is the fifth smallest value in 3, 4, -2/3, -9/5, -2, 0.06? 3 Which is the fourth biggest value? (a) 5 (b) -117 (c) 3.2 (d) -5 b Which is the fifth smallest value? (a) -38 (b) -4/13 (c) -1 (d) -2 (e) 5 e Which is the second biggest value? (a) -0.2 (b) 0 (c) 2 (d) 3/11 (e) -31 d Which is the fourth smallest value? (a) 0 (b) 80/771 (c) -1/4 (d) -5 b What is the third smallest value in -2, -0.4, 0.03778? 0.03778 Which is the third biggest value? (a) 3/7 (b) -2/17 (c) -3/4 (d) 4 (e) -286 b Which is the biggest value? (a) 5.7 (b) -120/13 (c) -1/4 (d) 3/4 (e) 2 a Which is the smallest value? (a) 0 (b) 1.53 (c) -1 c Which is the smallest value? (a) 2/19 (b) -1573 (c) 0.2 (d) 7 b What is the second biggest value in -0.5, -0.07, -1, 58, 1? 1 Which is the second smallest value? (a) -0.1 (b) 4 (c) 1368934 b What is the third smallest value in 0.3, -6, -8188/7? 0.3 What is the fifth biggest value in 179, -0.5, 1/12, -38, -2/3? -38 Which is the fourth smallest value? (a) -1/5 (b) -4 (c) 26 (d) 0.252 c Which is the smallest value? (a) -73 (b) -4 (c) -36 (d) -3 (e) 0.4 a Which is the biggest value? (a) 1/8 (b) 0.2 (c) 0.0951904 b What is the second smallest value in -2, -7/122, 5, 51? -7/122 What is the fourth smallest value in 0.1, 4, 139, -1.6, 0.5, 3? 3 Which is the fourth biggest value? (a) -2 (b) 6 (c) -30/13 (d) 4 (e) -11 c Which is the second biggest value? (a) 293 (b) 1.9 (c) 2/7 b What is the smallest value in -1/7, 3328, -0.69, -5? -5 Which is the second biggest value? (a) -2/7 (b) -5 (c) 0 (d) -3 (e) 1/2
{ "pile_set_name": "DM Mathematics" }
94 in descending order. 20, 6, 4, 1, -2, -4, -1194 Sort 2, -2, -4, -554, -3, 4, 586 in descending order. 586, 4, 2, -2, -3, -4, -554 Sort -8937, -4, 7171 in descending order. 7171, -4, -8937 Put 315, -5, -3, -4/23, -2/7, 3 in increasing order. -5, -3, -2/7, -4/23, 3, 315 Sort -145, 4, 0.1, -640/23 in decreasing order. 4, 0.1, -640/23, -145 Put 4, 5, 7, 15, -9, 269 in increasing order. -9, 4, 5, 7, 15, 269 Put -1768, -4, 5, -3, -376 in increasing order. -1768, -376, -4, -3, 5 Put 17, -8, 3, 5, -4, 0, -177 in decreasing order. 17, 5, 3, 0, -4, -8, -177 Sort 10, 2304, -3, 58 in ascending order. -3, 10, 58, 2304 Sort 13, 3, 79, 1997 in decreasing order. 1997, 79, 13, 3 Put -4404335, 1, 0.1, 5 in increasing order. -4404335, 0.1, 1, 5 Sort -4, -52, 2666918, 5 in descending order. 2666918, 5, -4, -52 Put 715, 3510, 5, -4, 3 in decreasing order. 3510, 715, 5, 3, -4 Put 975/8, -3, 3/5, -2/5, -31, 0.2 in increasing order. -31, -3, -2/5, 0.2, 3/5, 975/8 Sort -5056, 19, 1, 0, -2 in increasing order. -5056, -2, 0, 1, 19 Sort 474.95, -2, 5, 0.1 in descending order. 474.95, 5, 0.1, -2 Put -0.001, 6/19, -663, 0.4 in decreasing order. 0.4, 6/19, -0.001, -663 Put -2, 68/13, -2/7, 6, 2 in descending order. 6, 68/13, 2, -2/7, -2 Put -31, -7, -0.4, 2, -7/30 in decreasing order. 2, -7/30, -0.4, -7, -31 Sort -297186, 11, -4 in decreasing order. 11, -4, -297186 Sort 9890/53, 7, -2. -2, 7, 9890/53 Put 5, 4, -187, 4596.3, 3 in ascending order. -187, 3, 4, 5, 4596.3 Sort 33944, -5, -8, 10 in increasing order. -8, -5, 10, 33944 Put 4934, -3, 0, 153 in descending order. 4934, 153, 0, -3 Put -5, -11663, 2, -15, 13, 1 in ascending order. -11663, -15, -5, 1, 2, 13 Sort 0, -95, -1, 2, -207 in descending order. 2, 0, -1, -95, -207 Sort 60, 39, 174. 39, 60, 174 Sort 132, -561, -1 in decreasing order. 132, -1, -561 Put -1, -3, 38, 1, -640, -6 in descending order. 38, 1, -1, -3, -6, -640 Sort -0.1, -5/6, 15823, 0.5, 5 in ascending order. -5/6, -0.1, 0.5, 5, 15823 Sort 4, -179934, -828 in decreasing order. 4, -828, -179934 Sort 345, -7990, 5 in increasing order. -7990, 5, 345 Sort 6, 0.016, -1.3, 0.5, 11/2, 0.2 in decreasing order. 6, 11/2, 0.5, 0.2, 0.016, -1.3 Sort 2, 5, -198, -1, -11. -198, -11, -1, 2, 5 Put 10, -144, -6, 1 in descending order. 10, 1, -6, -144 Put 24, -1, -5, 53, -43 in increasing order. -43, -5, -1, 24, 53 Sort -2604/104717, -1, -0.5 in decreasing order. -2604/104717, -0.5, -1 Sort 0.4, -3862, -1/400 in descending order. 0.4, -1/400, -3862 Sort 8/3, -4/17163, 8/7, -7, 4 in descending order. 4, 8/3, 8/7, -4/17163, -7 Sort -205, 47, 4, 719, -2. -205, -2, 4, 47, 719 Put 0.4, 3920708, 4 in decreasing order. 3920708, 4, 0.4 Sort -88, 0, -49, -2067 in descending order. 0, -49, -88, -2067 Put -37/7, 1, 1083, -0.17 in decreasing order. 1083, 1, -0.17, -37/7 Sort 3881, 17, 5, -3, -154. -154, -3, 5, 17, 3881 Sort -24/5, -3/31, 109, -1 in ascending order. -24/5, -1, -3/31, 109 Sort 18, -0.5, -5, -1/244, 5, -6. -6, -5, -0.5, -1/244, 5, 18 Put -18, 28, -143499 in descending order. 28, -18, -143499 Sort 0, -13, 14, 6, 1, 17, -1 in descending order. 17, 14, 6, 1, 0, -1, -13 Sort -6880, -43, 13. -6880, -43, 13 Sort 2, -2393, -36, 1, 0, -4 in decreasing order. 2, 1, 0, -4, -36, -2393 Sort -2, 60, 3, 3906, -5 in increasing order. -5, -2, 3, 60, 3906 Sort -10, 0.13, 1.1377, -0.4, 0.02 in increasing order. -10, -0.4, 0.02, 0.13, 1.1377 Sort -250, 5, 2, -5, 1, -356, -2 in increasing order. -356, -250, -5, -2, 1, 2, 5 Sort -20, -5, 77285/282 in decreasing order. 77285/282, -5, -20 Sort -7, -1, -3, 6, 9, -8707 in decreasing order. 9, 6, -1, -3, -7, -8707 Sort 3, 4, -6, -2, 37237 in ascending order. -6, -2, 3, 4, 37237 Sort -53187, -2/13, -39 in descending order. -2/13, -39, -53187 Sort -2, 79, 26, 1, -15, 6, 3 in descending order. 79, 26, 6, 3, 1, -2, -15 Put 0, -1919419, 31 in descending order. 31, 0, -1919419 Sort 1/8, -20.11, -2/3, -89, 1 in decreasing order. 1, 1/8, -2/3, -20.11, -89 Put 4763/5, -0.97, -23 in increasing order. -23, -0.97, 4763/5 Put 72, 222, 6, 444 in descending order. 444, 222, 72, 6 Sort -14310, 455, -10 in ascending order. -14310, -10, 455 Sort 2/5, -119, 0.07, -0.075. -119, -0.075, 0.07, 2/5 Put -8, 3005, -62, -4 in ascending order. -62, -8, -4, 3005 Put -36, -86/3, -3/8, -4, -2, 0 in descending order. 0, -3/8, -2, -4, -86/3, -36 Put -3, -28, -311, 4, 6 in decreasing order. 6, 4, -3, -28, -311 Sort -1/6, -24, -3, 7176, -1, -0.5 in descending order. 7176, -1/6, -0.5, -1, -3, -24 Sort 5, -5, 8, -10, -10300, -2 in ascending order. -10300, -10, -5, -2, 5, 8 Sort 7, -0.4, 5, -47, -3, -1641. -1641, -47, -3, -0.4, 5, 7 Sort 542, 0, 2, -1, 705, -4 in decreasing order. 705, 542, 2, 0, -1, -4 Put -1, -10, 1, 11, -4, 3160 in ascending order. -10, -4, -1, 1, 11, 3160 Sort 4, 2, 1/56, 0.2, -5, 183, 3/5 in descending order. 183, 4, 2, 3/5, 0.2, 1/56, -5 Put -5, -1, -2, -53, 163, 5, 1 in decreasing order. 163, 5, 1, -1, -2, -5, -53 Put -63744, 97, -4 in descending order. 97, -4, -63744 Sort -1/6, -1, -57563, -4/5 in ascending order. -57563, -1, -4/5, -1/6 Sort 3/30137, -6, -15/16, 2 in increasing order. -6, -15/16, 3/30137, 2 Sort 21, 12655807, -0.2. -0.2, 21, 12655807 Sort 0, 101, -6, -1, 1, 24 in ascending order. -6, -1, 0, 1, 24, 101 Sort -122406, -5, 0, 0.086 in decreasing order. 0.086, 0, -5, -122406 Put -1/2, -13.846, -3/5, -0.133 in ascending order. -13.846, -3/5, -1/2, -0.133 Put 846, -5, -17973 in decreasing order. 846, -5, -17973 Put -3, 749, 15, 141 in ascending order. -3, 15, 141, 749 Sort 53, 2, -2, -17, -5, -71, 5 in descending order. 53, 5, 2, -2, -5, -17, -71 Put -463, -13, 12, 1, -8, 4 in descending order. 12, 4, 1, -8, -13, -463 Sort -4, 0, -958, 60, 2, 5 in descending order. 60, 5, 2, 0, -4, -958 Sort 14382274, -6, -4 in decreasing order. 14382274, -4, -6 Put 3, 5, 1, 410821, 45, -2 in ascending order. -2, 1, 3, 5, 45, 410821 Put -1/11, -803, 191 in decreasing order. 191, -1/11, -803 Put -2, 2, 58392, -33 in ascending order. -33, -2, 2, 58392 Sort -2/5, -74, -558, 98. -558, -74, -2/5, 98 Put 502, -11/5, -5, 0, 1, -2.67 in descending order. 502, 1, 0, -11/5, -2.67, -5 Sort -1, -45694, 43 in decreasing order. 43, -1, -45694 Sort -16, -204904, 0.4, 0.02. -204904, -16, 0.02, 0.4 Put -60.29, 1.3, -1/4, 0.2, 0.4 in decreasing order. 1.3, 0.4, 0.2, -1/4, -60.29 Put -2, 0, 213, -9, 3, 4, -1 in ascending order. -9, -2, -1, 0, 3, 4, 213 Put 29790, -1, -10, 1, 3, 0 in increasing order. -10, -1, 0, 1, 3, 29790 Sort 42, 2/615, 119. 2/615, 42, 119 Put -116000, -0.108, -12 in increasing order. -116000, -12, -0.108 Sort -4, 3, -37, 0, 5, 68, -113. -113, -37, -4, 0, 3, 5, 68 Put -1, 38390, 11, 7 in decreasing order. 38390, 11, 7, -1 Put -27, 192293, 88 in increasing order. -27, 88, 192293 Sort 178, -94191, 41 in ascending order. -94191, 41, 178 Put 218, -5, -20, -2, 14 in decreasing order. 218, 14, -2, -5, -20 Sort 1202, -1/47, -0.03, -1/6. -1/6, -0.03, -1/47, 1202 Sort 11, 6, 908, 5, -19 in descending order. 908, 11, 6, 5, -19 Sort -5, 1, -2, 29, -37, 3, -1 in decreasing order. 29, 3, 1, -1, -2, -5, -37 Sort 195, 3/5, 4, -0.06, -3, -0.8. -3, -0.8, -0.06, 3/5, 4, 195 Put 10698, -3545, -5 in decreasing order. 10698, -5, -3545 Sort -49, 0.2, -0.5, -1, 1/8, 22/3 in ascending order. -49, -1, -0.5, 1/8, 0.2, 22/3 Sort 3, -2, -1, 1, -3873615. -3873615, -2, -1, 1, 3 Sort -5, 2/9, 3818.287 in ascending order. -5, 2/9, 3818.287 Sort 22, 9, 4, -6, -148. -148, -6, 4, 9, 22 Put 3, 69, -1, -2, 16, 6, -13 in descending order. 69, 16, 6, 3, -1, -2, -13 Sort -24, -188, -2, -9915, 1. -9915, -188, -24, -2, 1 Sort -6627, 8, -14, -5. -6627, -14, -5, 8 Sort 5, 62630/769, 4 in decreasing order. 62630/769, 5, 4 Put -1/5, -6474, 48, 3/8 in descending order. 48, 3/8, -1/5, -6474 Sort -2, 5, 4, 4.8, 2/39, 3/23 in increasing order. -2, 2/39, 3/23, 4, 4.8, 5 Sort 1, -1, 382, -8, -13 in increasing order. -13, -8, -1, 1, 382 Sort -4, -2, -5, -10, -103, 34, 27. -103, -10, -5, -4, -2, 27, 34 Put -5, 61, 7, -2, 19 in increasing order. -5, -2, 7, 19, 61 Put -0.2, 11, 690, 1, -0.49 in descending order. 690, 11, 1, -0.2, -0.49 Sort 0.1, -1, -7/43, -1/15, -143 in descending order. 0.1, -1/15, -7/43, -1, -143 Sort -4, 22296, -33359 in descending order. 22296, -4, -33359 Put 39/2, -22, -19701 in ascendin
{ "pile_set_name": "DM Mathematics" }
6. 5 Suppose -32*u + 28*u + 160 = 0. Calculate the remainder when 119 is divided by u. 39 Suppose -4*c = -0*c + n - 429, 0 = -3*c - 2*n + 328. What is the remainder when c is divided by 55? 51 What is the remainder when 54 is divided by (-1)/((-10)/(-11) - 1)? 10 Let o(w) = w - 10. Let i be o(6). Let k = i - -4. Suppose -2*u - 4 + 28 = k. What is the remainder when u is divided by 7? 5 Let r be (11 + -1)*(-2)/5. Let b = -4 + -3. Let p = r - b. Calculate the remainder when p is divided by 2. 1 Calculate the remainder when 85 is divided by 1/((26/44)/13). 19 Let z be 3/(-2 + -1) - -4. Suppose -y + 3 = -z. What is the remainder when (-2)/5 - (-57)/5 is divided by y? 5 Let m(n) = n**2 - n + 31. Let x be 1 + (-1 - 0)/1. What is the remainder when m(x) is divided by (-344)/(-20) + (-1)/5? 14 Let f = 380 + -180. Suppose y = -3*o + 11 + 5, 0 = -5*o - y + 28. Suppose -f = 2*c - o*c. Calculate the remainder when c is divided by 17. 16 Let d(r) be the second derivative of 2*r - 1/3*r**3 - 1/2*r**2 + 0. What is the remainder when 20 is divided by d(-6)? 9 Suppose -2 = -0*u - 2*u. Calculate the remainder when 4 is divided by u. 0 Suppose -5 + 2 = -o. Calculate the remainder when o is divided by 1. 0 Let r be 80/4*(-1)/(-2). Suppose -r = -y + 2. Suppose 2*h - h = 22. What is the remainder when h is divided by y? 10 Let z = 113 - 71. Let v(h) = 2*h**2 - 16*h + 15. What is the remainder when z is divided by v(8)? 12 Suppose 0*z - 5*z + 45 = 0. Suppose -7*n + 4*n = -z. Calculate the remainder when 5 is divided by n. 2 Suppose 3*i - 260 = i. Suppose 5*q + 0*q - i = 0. Calculate the remainder when 103 is divided by q. 25 Suppose 2*s + s - 24 = 4*z, -4*z + 8 = 5*s. Let q(k) = 2*k**2 - 5*k + 5. Suppose 4*b - 245 - 19 = 0. Calculate the remainder when b is divided by q(s). 15 Suppose -3*t + 447 = 3*w, 0 = -0*t + 4*t - 5*w - 596. Calculate the remainder when t is divided by 25. 24 Let w(l) = l + 5. Let z be w(-2). Suppose z*f = 2*f + 17. Calculate the remainder when 48 is divided by f. 14 Let d = -157 + 242. Suppose -x = -s + 5*s - 105, 4*s = 3*x + d. What is the remainder when s is divided by 14? 11 Suppose 0*t = 3*o - 2*t - 45, -o + 2 = -5*t. Let g = 90 - o. What is the remainder when g is divided by 19? 16 Let u = 6 + 5. What is the remainder when u is divided by (-1)/(2 - 28/12)? 2 Let b(n) = n + 4. Suppose -o + 3 + 18 = 0. Calculate the remainder when o is divided by b(4). 5 Let j(m) = -7*m**2 - 45*m + 4. Let p = 53 - -32. What is the remainder when p is divided by j(-6)? 19 Let w(g) = 28*g - 2. Calculate the remainder when w(3) is divided by 17. 14 Let j(i) = -i**3 + 7*i**2 - 4*i - 2. Calculate the remainder when 88 is divided by j(4). 28 Suppose 5*y = -5, -5*y + 31 = 5*m - 3*m. Suppose -6 = -0*n - 3*n, -4*k + 5*n = m. Let u = k + 9. Calculate the remainder when 12 is divided by u. 5 Let n(w) = w + 11. Let c = -22 - -32. What is the remainder when n(8) is divided by c? 9 Let l(o) = 3*o**3 - 14*o**2 + 2*o + 5. Let a(f) = -5*f**3 + 27*f**2 - 4*f - 11. Let u(n) = 4*a(n) + 7*l(n). What is the remainder when 32 is divided by u(-10)? 10 Let b(s) = -s**2 + 7*s + 7. Suppose 5*r - 10 = 3*r. Suppose 2*i + 2*i - 40 = 0. Calculate the remainder when b(r) is divided by i. 7 Let y = -7 - -56. Calculate the remainder when y is divided by 21. 7 Let d(a) = a**2 - 25*a - 48. Calculate the remainder when 29 is divided by d(27). 5 Let m = 16 + -9. Let j(k) = 2*k - 6. Calculate the remainder when 22 is divided by j(m). 6 Let u(y) = 11*y**2 - 2*y + 1. Let w = 5 + -1. Let s(k) = k. Calculate the remainder when u(1) is divided by s(w). 2 Let p(k) = -k + 3. Let y be p(2). Let z = y + -2. Calculate the remainder when 20 is divided by 10 + (z + -1 - -3). 9 Suppose 20*z - 45 = 15*z. What is the remainder when z is divided by 4? 1 Suppose 0 = -4*x - 30 + 2. Let u(r) = -r**3 - 7*r**2 - r. Calculate the remainder when 12 is divided by u(x). 5 Suppose 2*z + 2*s + 116 = 4*z, -5*s = z - 34. What is the remainder when z is divided by 19? 16 Suppose p = -4*p - 10. Let z(d) = -4*d - 3. Calculate the remainder when 13 is divided by z(p). 3 Suppose 4*m - 246 + 50 = q, -4*q = 5*m - 266. Calculate the remainder when m is divided by 13. 11 Let g = 2 - -2. Let l = 3 - 6. Let k(t) = t**3 + 4*t**2 + 1. Calculate the remainder when k(l) is divided by g. 2 Suppose 5*i - 50 = -15. Suppose -2*f - d = -9, -4*f - 3 = -3*f - 2*d. What is the remainder when i is divided by f? 1 Let o = 37 + -19. Suppose 25 = -2*v + 7*v. What is the remainder when o is divided by v? 3 Suppose 3*o + 6 = 4*o. Let t(w) = w + 5. Suppose -26*i = -23*i - 9. Calculate the remainder when t(o) is divided by i. 2 Let n = 0 - 7. Let s(d) = 10*d**2 - 25*d + 12. Let j(l) = 7*l**2 - 17*l + 8. Let z(i) = n*j(i) + 5*s(i). What is the remainder when 11 is divided by z(6)? 3 Let g(v) = -v**3 - 13*v**2 - v - 6. What is the remainder when 18 is divided by g(-13)? 4 Suppose 4*x = 43 + 1. Let q(g) = 2*g**2 - 7*g - 9. Let i be q(-6). Suppose 2*d + 3*d = i. What is the remainder when d is divided by x? 10 Let d = 10 + 1. What is the remainder when 19 is divided by d? 8 Let v = -243 - -354. Suppose v = 3*p - 36. Calculate the remainder when p is divided by 13. 10 Suppose 8*p - p = 525. What is the remainder when p is divided by 27? 21 Let o = 0 - 2. Let n(j) = 2*j**2 + 2*j + 1. Let m be n(o). Calculate the remainder when 5 is divided by 0/(m - 2) + 3. 2 Calculate the remainder when 3/(-9) - (-2 + (-508)/3) is divided by 29. 26 Suppose -57 = 4*m - 3*n - 10, -4*n - 12 = 0. Let z = m + 20. Calculate the remainder when z is divided by 3. 0 Let d(z) = 14*z**2 - 3*z - 1. What is the remainder when d(-2) is divided by (-6)/(-5)*120/9? 13 Suppose 2*z - 10 - 26 = 0. What is the remainder when 53 is divided by z? 17 Let t(q) = 3*q**2 - 8*q + 4. What is the remainder when t(4) is divided by 7? 6 Let z(j) be the first derivative of -21*j**2/2 - 5*j + 5. Calculate the remainder when z(-2) is divided by 10. 7 Let x = -10 + 10. Suppose -4*b + x*b + 28 = 0. Calculate the remainder when 12 is divided by b. 5 Suppose -2*o + 6 - 14 = 0. What is the remainder when (-49)/o + 3/(-12) is divided by 7? 5 Suppose 0 = d + 3*d + 68. Suppose 2*l + 39 - 133 = -2*t, 4*t - 194 = -l. Calculate the remainder when t is divided by (0 - -2)*d/(-2). 15 Let g be -2*4/8 - -1. Suppose u - 6 - 47 = g. Calculate the remainder when u is divided by 28. 25 Let t = -36 + 12. Suppose -13 - 23 = -g. Let w = t + g. What is the remainder when 45 is divided by w? 9 Let h = 2 + 7. Let u = 23 + -6. Calculate the remainder when u is divided by h. 8 Suppose 0 = 4*w - 5*t - 21, -w - t = 3 - 6. Suppose -w*i + 3 = -5. Calculate the remainder when 2 is divided by i. 0 Suppose -2*u + 4 = -22. Calculate the remainder when 37 is divided by u. 11 Let s(c) = c**2 - 7*c + 12. Let l be s(8). Calculate the remainder when 52/10 - 4/l is divided by 2. 1 Suppose y + 61 = 2*y. Let c = y + -20. What is the remainder when c is divided by 21? 20 Suppose -x + 2*n + 21 = 0, x - 5*n + n - 19 = 0. Let p = 70 - x. What is the remainder when 2/(1 - -1)*p is divided by 16? 15 Suppose -6*o + 360 = -90. What is the remainder when o is divided by 16? 11 Let j be 2/(-1) + (26 - 0). Suppose n - j = -4*i, 2*n = 3*n + 4. What is the remainder when 25 is divided by i? 4 Let r = 93 + -49. Calculate the remainder when r is divided by 15. 14 Suppose 3*j + 60 = -0*j. Let d be j/(-3)*162/(-4). What is the remainder when 5/20 - d/8 is divided by 12? 10 Let q = 41 - 20. Calculate the remainder when 14/(-49) - (-436)/7 is divided by q. 20 Suppose -8*g + 4*g = -228. Suppose 15 = -0*o + o. What is the remainder when g is divided by o? 12 Let m be (-2 - -1)*-3 - -5. Let j = 12 - m. Suppose -n = -j*n + 12. Calculate the remainder when 14 is divided by n. 2 Suppose 78 = 2*y - 0*y. What is the remainder when 28 is divided by (-1)/(-4) - y/(-4)? 8 Let n(i) = i**3 + 7*i**2 + 5*i + 7. Let k be -1 - (7 + -1 + -1). Calculate the remainder when n(k) is divided by (-2)/5 - 0 - 837/(-155). 3 Suppose 4*h = h + 75. Suppose 0 = -n + h + 28. Suppose 0 = 4*u + 5*f - 53 - 24, -2*f + 38 = 2*u. What is the remainder when n is divided by u? 17 Suppose -h + 52 + 50 = 0. Calculate the remainder when h is divided by 35. 32 Let g(p) = -2*p + 1. Let z be g(-1). Let f be
{ "pile_set_name": "DM Mathematics" }
*(0 + 4/10). Which is smaller: r or f? r Suppose -3*d - d = 0. Suppose d = -8*y + 10*y - 8. Let p = -8 + 5. Which is bigger: y or p? y Suppose -5*a + g = -121, 4*a = -3*g + 160 - 48. Is 25 >= a? True Let y = -30 + 27. Let p be 32/14 - (-4)/(-14). Suppose 0*d - 2 = -p*d. Is y >= d? False Let g be (2/(-34))/(10/8). Suppose 11*w + 12 = 6*w - 7*w. Is g at least as big as w? True Let u = -12672/13 + 974. Let g = -541 + 541. Which is greater: u or g? g Suppose 918 = 3*a - c - 35, 3*c = -6. Which is smaller: 318 or a? a Let j be 32/8 + -66 + 5. Which is smaller: 5 or j? j Suppose 0 = -4*n + 8*n + 2*q - 40, -32 = -5*n + 2*q. Is n at least as big as 17? False Let l(c) = c**3 - 17*c**2 + 16*c + 4. Let u be l(16). Suppose 0*p = -4*p - 2*z + 14, u*z = 4*p + 4. Is p at most -2? False Let m be (70/45 + -2)/(4/(-18)). Let c be 1 + -2 + m + 3 - 15. Is -13 < c? True Let l(g) = 3*g + 5. Let m be l(-2). Let f be -2 - (-1 + (-2 - m)). Suppose -6*a + 86 + 10 = f. Which is smaller: 15 or a? 15 Let i be ((-519)/(-12))/(35/(-28)) - 0. Which is smaller: -35 or i? -35 Let f be (2*-1 - 2) + 1. Let l(s) = -s**3 + 15*s**2 + 13*s - 201. Let m be l(15). Which is smaller: f or m? m Let h be 94/((-10)/(-9)*6). Let q = h - 88/5. Let f = 68 - 72. Is f less than q? True Let y = 1.107 + -0.707. Is 61 at least as big as y? True Let q(n) = -n**3 + 7*n**2 - 7*n + 9. Let g be q(6). Suppose -4*f + 17 = -g*y, -2*f + y + 13 = 4*y. Suppose -4*v + f - 1 = 0. Is 1 < v? False Let n(d) = 15*d + 285. Let r be n(-19). Which is smaller: r or 5/88? r Let q = 10.987 + 0.113. Let n = -10.848 - 0.152. Let c = n + q. Which is greater: c or 5? 5 Suppose -5*v + 35 - 30 = 0. Let c be -1 + 9/(-1)*1. Is v greater than or equal to c? True Suppose 0 = f - w - w + 1, 0 = 4*f + 4*w + 4. Let a be (-12)/9*(-8 + -1). Let q be (11 + -9)*(-5)/a. Do q and f have the same value? False Let u = -1577 - -1569. Let o = 1 - -7. Suppose -5*i + 5 = 0, -o*i + 3*i + 50 = -5*m. Which is smaller: m or u? m Suppose 4 = -2*a + a, 0 = -4*c - 2*a - 96. Is -24 equal to c? False Suppose c = 5, -2*j - 19 = -4*j - 5*c. Which is bigger: -7 or j? j Let o be (0 - -2)/(-2)*(-150)/(-6). Let d = -25 - o. Is 3/38 bigger than d? True Let x(d) = 3*d. Let s be x(1). Let j(n) = -15*n + 0*n**2 + 5 - s*n**2 + 2*n**2. Let h be j(-14). Are h and 18 nonequal? True Let b(t) = -7*t - 16. Let o be b(-7). Let h be 1/6*(-6)/o. Which is bigger: 1 or h? 1 Let d be ((-3)/(-3)*-2)/1. Let l = 21 - 9. Let o be d*(l/(-9))/4. Is o equal to 0.04? False Suppose 2*d + 584 = 4*b, 38*b - 1160 = 4*d + 34*b. Is -288 > d? False Let a = -7 - -8.5. Suppose -2*r = -2*h + 14, -4*r = -9*h + 10*h + 3. Is r > a? False Let i = -8499/254 + -5/127. Which is greater: -33 or i? -33 Suppose -4*a - 15 = 45. Let d be (-3)/(-4)*(-8)/a. Suppose 0 = -2*i + 16*i. Which is smaller: i or d? i Let n = -4/7517 - 2022053/37585. Let b = n - -54. Let u(f) = f + 8. Let d be u(-9). Which is greater: b or d? b Suppose -292 = 3*o - 2*m, 0 = -5*o - 0*m - 5*m - 470. Let g = -478/5 - o. Which is smaller: 3/16 or g? 3/16 Let n = -0.3 + 1.3. Let q = 0 + n. Let i = -1619.7 + 1620. Which is bigger: i or q? q Let w = 53698923/35 + -1534085. Let c = -170 + w. Let n = c + 113/140. Is n > 0? True Suppose -2*c + 5*c - 30 = 0. Let z be -12*(-5)/c*-31. Let j be z/(-38) - (-12)/114. Which is bigger: 2 or j? j Suppose -5*j = -531 - 524. Let u = -238492 - -3103136/13. Let b = u - j. Which is bigger: -1 or b? b Let o = 17.92 + -47.08. Let m = o - -29. Do m and 1/3 have different values? True Suppose 14 = -6*c - 10. Let h be (6/(-16))/((-66)/c). Is -1 != h? True Suppose 0 = 5*b + 5*c + 80, 0 = -5*b + 2*c - 3*c - 68. Let i be 20/76*(-3 - b/5). Do 1 and i have different values? True Let x = 229.1 - 229. Which is smaller: x or -257? -257 Let o = 10 + 16. Let h = -30 + o. Let v be (h/10)/(2/10). Do -1/2 and v have the same value? False Let p = 843 + -2393/3. Is 45 at most as big as p? True Let v = -0.47 + 9.97. Let s = -9 + v. Let n = s - 0.6. Which is smaller: -3 or n? -3 Let a be ((-2)/3)/(6/9). Let o = -2639/19 + 139. Which is smaller: o or a? a Suppose 0 = b + 5*k - 11, 3*k - 6 = -b - k. Suppose -2*m = -3*g - 0*g + 37, -4*g = 3*m + 30. Is m <= b? True Let r = -155 + 141. Let d(u) = -u**3 - 14*u**2 - 2*u - 2. Let s be d(r). Is s at most as big as 25? False Let o = 2/9491 - -28135/1603979. Is -1 equal to o? False Let o(n) = 19*n + 4. Let s be o(-4). Let d be (9198/(-252))/((-3)/(-6)). Which is bigger: d or s? s Suppose 5*m - m = -32. Which is smaller: m or 2/13? m Let g = 112 + -72. Let j = 39.83 - g. Which is greater: j or 2/3? 2/3 Let u be 27*(-3 + 6 + -1 - 5). Which is bigger: u or -82? u Let k = -9 - -12. Suppose -k*g - 5 = 5*r - 4, -2*g + r = 5. Let y be -2 - -2 - g/(-31). Which is smaller: 0 or y? y Let k = 317/87 + 2/87. Let z = k + -13/3. Suppose 12 = 5*r - 4*c, 0 = -0*r - 4*r - 5*c - 15. Is r <= z? False Let c be (84/(-18))/((-4)/6). Suppose -3*m + c - 32 = -x, -2*m = x - 5. Which is bigger: 12 or x? x Let q = -4 - -8. Suppose 0 = -5*z + 5*o - 15, 3*o - 3 = q*z + 4. Which is smaller: 11/4 or z? z Suppose 9 = -3*p, -v - 2*p = 6 - 12. Suppose -3*m + q - 6 = 0, m - 2*m - 2*q = -5. Let w be (m - (-80)/v) + -4. Is w equal to 3? False Let m = 49 + -82. Let f = m + 29. Is f less than -1/4? True Let v(z) = 6*z - 8. Let k be 7/(-7) + 6 + -2. Let y be v(k). Does y = 11? False Let h be (1/18)/((-12)/48). Let t be ((-4)/9 - -1) + 0. Let p = t + h. Is 6/7 equal to p? False Let d = 2524/29 - 87. Which is smaller: -1 or d? -1 Suppose -2*f - 2*f = -l + 96, -5*l = 2*f - 524. Is 101 > l? False Let k(m) = -7*m + 3. Suppose 4*u = 5*g - 7 - 23, 0 = -4*g + 3*u + 23. Let j be k(g). Suppose -11*y - 33 = -8*y - 3*w, 5*w = 10. Is j != y? True Let l be 4 + ((-37)/(-111))/((-86)/1050). Which is smaller: 0 or l? l Let o(z) = z. Let l be o(1). Let a be 8 - (-7)/(770/(-930)). Which is greater: l or a? l Let z(g) = -g**3 - 12*g**2 - 13*g - 6. Let b(h) = -4*h**3 - 37*h**2 - 40*h - 17. Let v(w) = -2*b(w) + 7*z(w). Let q be v(11). Is -8 greater than q? False Suppose 3*z + 5*i - 4*i = 278, -4*i - 176 = -2*z. Which is bigger: z or 88? z Let a = -15 + 15.988. Let i = a + 0.012. Which is smaller: -7 or i? -7 Let l = 8 + -7.7. Let y = 0.01 - -19.99. Let m = 18 - y. Which is smaller: l or m? m Let b be ((-14)/21)/((-2)/12). Suppose 5*g = -2*n + 3, n - b*n + 16 = -4*g. Suppose j + 2*j = 0. Are j and n unequal? True Let s(g) = g**2 - 7*g + 5. Let z be s(6). Let k be (0 - z)*(-3 - 1). Is k != 0.3? True Let d = 14 - 16. Let c be (d/10)/((-15)/525). Is 9 at most c? False Let h be 1 - (10/7 + 1). Suppose x + 3*x - 1 = l, -x - 5 = 5*l. Which is smaller: l or h? h Let t(g) = -2*g**2 + 4*g + 26. Let a be t(-9). Do -170 and a have the same value? False Let g = 23/2 - 12. Let h be -7 - (-10)/(-40)*-28. Which is smaller: g or h? g Suppose 3*k + 121 = 4*u, -107 = -3*u - k - 0*k. Let a = 24 - u. Let n be (-8)/a*(-21)/28. Are 2 and n non-equal? True Suppose -22 = 19*n - 8*n. Is 20/9 not equal to n? True Let r be (7/(-91))/((-2)/10). Let g = 51/65 - r. Is -22 < g? True Let y(w) = -w + 22. Let s be y(16). Let x be 30/40 - s/8. Which is smaller: 15/19 or x? x Suppose 18*s - 18 = 21*s. Which is bigger: 4 or s? 4 Let u be 986/10 + 12/30. Let b be ((-1583)/10)/((-8)/(-5)). Let w = b + u. Which is greater: w or -1? w Let x be 1/((-4 + 5)/((-7)/1)). Is x != -11? True Let b(y) = 4*y**2 + 7*y + 3. Let q(i) = -3*i**2 - 6*i - 4. Let p(w) = -4*b(w) - 5*q(w). Let z be p(4). Are z and -1 non-equal? True Let n = -0.2 + 0.7. Let u = 27.4 + 0.6. Let k = u - 27.8. Which is smaller: n or k? k Let v be ((-1)/(-3))/(4/96*4). Suppose 5*k = -3*p - 14, 3*k - v*k - 2 = p. Is p at least as big as -1? False Suppose 5*g - 26 = 4*h, -2*g - 2*g = 5*h + 12. Suppose -4*d - 5 - 27 = 0. Let m be (d + 2)*2/3. Is h at least m? True Let k be 7 + ((-38)/7)/2. Let c be (-10)/3*(-3)/2. Is c less than k? False Let j be (-30)/219*10/(-4). Let y = j + -1229/4015. Let k = -1 + 0. Which is smaller: k or y? k Let l be 55/6765*(-1)/((-2)/(-18)). Is -2 less than or equal to l? True Suppose -10*l + 1 = -12*l + g, -5*l + g = 10. Is l < 18? True Suppose 2*j = 7*j + 5. Let o be (-4)/(-84)*3 + j. Let b(t) = -t**3 - 4*t**2 - 3*t. Let p be b(-2). Which is bigger: p or o? o Suppose 0 = -1464*s + 1462*s - 42. Are -20
{ "pile_set_name": "DM Mathematics" }
Suppose -34*f + 39 = -29*f + 4*h, -f - 5*h + 33 = 0. Solve 6*q = 5*k + f*q + 7, 5*q = -5 for k. -2 Let n(l) = l**3 + 20*l**2 - 41*l + 68. Let c be n(-22). Suppose -c*a = -0*w + w - 4, -4*a + 4*w = -20. Solve -a*t + 2 = -g - 4*t, -4*g - 23 = -t for g. -5 Let p = 5 - 2. Let y(a) be the first derivative of 2*a**3/3 + 9*a**2 - 20*a - 138. Let s be y(-10). Solve h - 6 = p*r, 4*r + 8 = 2*h - s*r for h. 0 Suppose 4*a - 4 = -5*g - 0, -2 = -2*a. Suppose g = 3*l - b - 6, b = -5*l + 4*l + 2. Solve -4*q - i - 14 = 0, -l = i - 0*i for q. -3 Let v(h) = -14*h**2 + 18*h + 70. Let z be v(-4). Let f = -201 - z. Solve 0 = 4*k + k - 2*i + f, 3*i = 4*k + 27 for k. -3 Let j = -2772 - -2775. Solve -2*v + 19 = -5*n, -4*v + 5*n = j*n + 2 for v. -3 Let f(m) = -m + 8. Let x be f(9). Let h be 3 - x/4*-4. Let k be (h - -1)*10/6. Solve 0 = 5*l + 2*u + 3, 3*l - 7*l + u = k for l. -1 Suppose 69 = -2*v + 71. Let q be (-1 + 1)/5*v. Solve q = -2*n - 5*b + 5, -4*n = 2*b - b - 1 for n. 0 Suppose 5*o = -2*p + 4 + 17, -15 = -5*o. Solve -2*y = -p*y + 2*t - 3, -4*y - t = 3 for y. -1 Suppose 21 - 29 = -4*t. Solve t*v - x = -12, 21 = v + 5*x + 5 for v. -4 Suppose -20 = -5*m + 2*q, 20 = 2*m + 3*q + 12. Solve -m*d - 2*t = -24, 0*d + 3 = d - t for d. 5 Suppose -5*p + 78 = 2*m, 2*m + 7*p = 3*p + 80. Let l = m - 40. Suppose -2*c = 2*f - l, -8 = -0*c - 4*c - 5*f. Solve -3 = -j - 2*s, 2*j + c*s = -j - 3 for j. -3 Let d(a) = a**3 - a**2 + 13*a - 56. Let z be d(0). Let x be 31 + (z/(-12) - 6/9). Solve t - 8 = -k, 5*t + 0*k - x = -4*k for t. 3 Let y(q) = 6*q**3 + 6*q**2 - 4*q - 3. Suppose 2*u + 23 = 5*v, 3*u - 6*u - 2 = -v. Let s be y(u). Solve x - a = 6*x + 7, 0 = -5*x + 5*a + s for x. -1 Let w(d) = -70*d - 7980. Let x be w(-114). Solve 3*g = -n + 6, 2*n = -4*g - x*g + 6 for n. -3 Let y be -12*(0 - (-3 + 4)). Suppose 0 = -3*s - 3 + y. Let u(c) = c**3 + 13*c**2 + 12*c + 5. Let h be u(-12). Solve 2*t - s*n = h, 4*n = -3*t - t - 40 for t. -5 Let h(z) = -14*z**2 + 10*z - 11. Let l be h(6). Let w = l + 468. Solve -4*k - 4*v + w - 49 = 0, v = -5 for k. -4 Let h(d) = d + 7. Let x be h(-4). Suppose -3*v + 194 = -5*q, -x*v = -2*q - 134 - 57. Let j = v + -61. Solve -y + 0*k + 4 = -4*k, j*y + 4*k + 16 = 0 for y. -4 Let j(w) be the second derivative of -w**4/12 + 11*w**3/6 + 8*w**2 - 18*w. Let f be j(12). Solve 5*a + q - 1 = f*a, q - 7 = -4*a for a. 2 Suppose 0 = -a, -12*a = 5*z - 11*a - 15. Solve 12 = -7*l + z*l + 4*s, -4*l - 4*s = 20 for l. -4 Suppose -6779 = 4*n - 3*o, 0 = 5*n - 2*o + 5*o + 8440. Let h be (-14)/(-12) + -1 + n/(-114). Solve 5*z - 3*p = -15, 6*p = 3*p + h for z. 0 Let d be (0*(-10 + 9))/(5 - 1). Suppose d = -15*k + 12 + 18. Solve 0 = -3*a - 4*m - 26, -k*m = 2*a - 7*a for a. -2 Let u be 5/(-2)*24/(-30). Suppose 0 = u*n + 6*n - 48. Suppose n*t - 11 - 13 = 0. Solve 4*j = -3*o - 11, -o + j = t*o + 26 for o. -5 Let g(j) = j**2 - 16*j + 64. Let t be g(8). Suppose 36*n - 58*n + 44 = t. Solve -n*m + 3*p - 17 = 0, -3*m + 2*m + 5*p = 19 for m. -4 Let f(t) = 11*t**3 + 12*t - 11. Let i be f(1). Solve -i*s = -9*s + 3*p, 2*s - 3*p + 25 = 0 for s. -5 Let q(i) = 11*i**2 - 93*i + 92. Let r be q(1). Solve -5*f = -4*v - 7, -r*f + 12*f - 10 = 4*v for v. -3 Suppose 8 = 4*j - 4*s - 36, s = -12*j + 54. Solve 13*u - 16*u - 9 = 3*k, -k = j*u + 19 for u. -4 Suppose q = -i, q = 3*i + 12 - 24. Solve -81*c = -83*c - i*j - 6, -4*j = 2*c + 10 for c. 3 Let v(o) = o**3 - o + 0*o + 0*o + 18*o**2 - 13. Suppose 4*a - 30 = c, -12*c - 5*a - 39 = -9*c. Let z be v(c). Solve 3*f - 3 = z*u + 10, 4*f + 6 = -5*u for u. -2 Suppose -24 = -3*j - 4*k, 0*k = -5*j + 2*k + 40. Suppose -13 = t + 6*z - 2*z, z = -4*t + j. Let b = 98 - 95. Solve 4*f + 3 = b*y, 1 = t*y - 2 for f. 0 Let n(u) = 17*u**2 + 1582*u + 98. Let x be n(-93). Solve -i - 6 = -3*i + 2*p, 6 = 2*i - x*p for i. 3 Let b = -11519 + 11524. Solve -8 = -2*m - c, -b*m + 9*c - 4*c = -35 for m. 5 Suppose 20 = a - 4*d, -8*a + 40 = -3*a - 5*d. Let r = 54 + -60. Let g(q) = q**3 + 7*q**2 + q + 11. Let p be g(r). Solve j + 2*j + o = -17, -5*o - p = a*j for j. -4 Let y be -2*8/((-128)/40). Suppose x = -y*a + 3, -9*x + 12 = -5*x + 5*a. Solve 0 = -3*q - 5*p - 20, -q + 0*q - 12 = x*p for q. 0 Let m be ((-406)/(-28) - 15)*0. Solve m = 2*l - u - 6, -5*l - 3*u + 54 = 17 for l. 5 Let f = -324 + 319. Let l(j) = j**3 + 4*j**2 - 7*j - 8. Let k be l(f). Solve 2*w = 4*y + y + 12, -k*w = y for w. 1 Suppose h - 7 - 10 = -11. Solve -4*g + 4 = -6*g, -2*v = 4*g + h for v. 1 Let f = -10 - -39. Let a = 387 + -354. Let h = a - f. Solve -2*p - 8 = -5*m + 4*m, 3*p = -h*m - 23 for p. -5 Let t = 36921 - 36919. Solve 3*n + t*j = 0, 2*n + 22 = 6*j - 11*j for n. 4 Let r = 1 - -1. Suppose l + 21*l = 44. Suppose -l*d - 5*d = -63. Solve -2*p - r*u - d = -u, u + 5 = 0 for p. -2 Suppose u = -3*k + 13 + 3, -3*u + 23 = 4*k. Let d = -51 - -508. Let n = d + -442. Solve i - 6 = -u, -2*i = 5*l + n for l. -5 Let n be 6 + (1100/(-286) - 4/26). Let o be 38/8 - n - (-3)/12. Suppose -2*w - 51 = -5*w. Solve -w = 4*l + v + 1, -o*v - 6 = 0 for l. -4 Let h(d) = -d + 13. Let l be h(8). Suppose y = -l*y + 18. Suppose y*u + 2 = 11. Solve -u*o + b = -11, 4*b - 2 = 3*o - 10 for o. 4 Let w(o) = o**3 + 18*o**2 - 64*o - 18. Let i be (-189)/10 - 2 - 8/80. Let m be w(i). Solve 5*v - 14 = m*c - 1, c + 5*v = 9 for c. -1 Let s(q) = -q**3 + 4*q**2 - 9*q + 20. Let l be 1 - (-1 + -4 - -3). Let m be s(l). Solve 4*b = 3*p - 7 - 16, 0 = -m*b + 4*p - 14 for b. -5 Let i = 10209 - 10201. Solve -54*q - 5*x - i = -56*q, 0 = -2*q - 5*x + 8 for q. 4 Let s(d) = -15*d + 5 - 2 + 14*d + 1. Let m be s(4). Solve m*v + 3 = -5*h + v, 0 = 2*h + 5*v + 12 for h. -1 Suppose j - 16 = -3*j. Let s(v) = v**2 + 27*v + 164. Let p be s(-19). Let c(w) = -w**2 + 7*w + 2. Let q be c(7). Solve -n = 4*y + 22, q*y + p = n + j for y. -5 Let x be (0*(1/(-2) + 1))/1. Let y(n) = n**3 - n**2 - 2*n + 14. Let d be y(x). Let v = 307 + -307. Solve v = 2*m - 4*t - 12, 4*m + 0*t - d = -2*t for m. 4 Let y(r) = -5*r**2 + 4. Let z be y(-3). Let p(s) = 44*s - 131. Let t be p(2). Let d = z - t. Solve 34 = -3*a - 5*x, -3 - 23 = d*a + 4*x for a. -3 Let p be 2 + (-7)/(14/4) - -4. Suppose -8 = 4*a, -4*m + 17 = -3*m - 5*a. Let r = 7 - m. Solve 4*q + 4*o + 4 = r, 5*o - 5 = p*q - 1 for q. -1 Let i(p) = 10*p + 54. Suppose 5*h = 5*u + 45, -4*h = 3*u - 2 + 1. Let l be i(u). Solve 2*t + 3 = -3*m, t + l*m + 1 - 2 = 0 for t. -3 Let p = -4 - -1. Let i be (-4)/18 + 211470/(-945). Let b be p/2*i/24. Solve -5*n - 5*d = 0, b = 3*n + 3*d - 7*d for n. 2 Suppose 2*d - 3*u = 68, -2*u - 37 = -d - 2. Suppose 0 = 2*n + 35 - d, 4*p + n - 6 = 0. Solve -4*c + 4*f = -f - 4, -p*c = 3*f + 20 for c. -4 Suppose 4*q - 1785 = m, 12*m + 1775 = 4*q + 13*m. Let b = q + -440. Solve f - 19 = b*l, 0 = -3*f - 4*l - 13 - 6 for f. -1 Let y be 4*(15/3)/5. Suppose 5 = 2*x - 4*s + 7*s, 3*x + 1 = y*s. Let t be x/5 - 437/(-115). Solve 2*z = 2*u, -t*z + 2*z = -5*u for u. 0 Let i be (-1)/((7 - 6)/8). Let s be -11 - (0 - 1 - -1). Let r = i - s. Solve 4*l - b + r*b = -18, 0 = 4*l - 5*b + 25 for l. -5 Let m be ((-21)/(-6) - 1)*10. Suppose 0 = -m*t + 29*t - 12. Solve 4 = g - t*u, 0 = 2*g - u + 6*u + 3 for g. 1 Let v(d) = -53*d + 1378. Let b be v(26). Solve 4*m = -k + 5 - 12, b = -5*k + 5*m + 15 for k. 1 Suppose -5*p + 2*m + 12 = 0, -3*p + 5*m - 4*m + 8 = 0. Solve -5*i = -p*j + 7, 7*i - 20 = -5*j + 2*i for j. 3 Suppose -7*r = -3*r - 12. Let n be (-1)/1 + r + 1. Let s be (-6)/(-1) - 0 - 1. Solve -n*c = 3*d + 7 + s, -2*c - 5*d = 23 for c. 1 Let j be (-164)/(-246) - 21/(-9). Solve -3*c - 25 = -j*x - 1, -3*x = 4*c - 3 for x. 5 Suppose 15*x - 66 = -21. Let q(f) = 13*f - 36. Let w be q(x). Solve y + 5*h + 10 = 0, w*h = h - 2 for y. -5 Let p = 12 - 7. Suppose 14 = 9*y - 2*y. Suppose -y*o - 4 = -u - 2, 4 = 2*u + 5*o. Solve 0 = 4*w + 4*x + 20, -p*w + x - 15 = -u*w for w. -5 Let x be 0*(27/6)/(-9). Let m be -6 - (x - (-6)/(-1)). Solve 5*r + 15 = m, -2*r = 2*f - r + 1 for f. 1 Let d(u) = -u**3 + 13*u**2 - 21*u - 8. Let g be d(11). Solve g*v = 2*h + 17, 6*h + 3*v = 9*h + 18 for h. -1 Let g(a) = a + 1. Let v be g(-1). Suppose 3*h = 3*t - v*h - 15, 0 = -4*t + 5*h + 21. Suppose 5*f - 2 = 8. Solve 1 = -2*k + f*l - 1, 0 = t*l - 16 for k. 3 Let o(h) = -11*h**2 + 132*h + 15. Let l be o(12). Let j be (-20)/16*(-24)/l. Solve 2*c = -j*c - v + 18, -c + 3*v = -11 for c. 5 L
{ "pile_set_name": "DM Mathematics" }
b + 1074 = 0, -2153 = -4*q - b. What is the remainder when q is divided by 3? 1 Let o(u) = -u**3 - 6*u**2 + 3*u + 3. What is the remainder when o(-7) is divided by (-12)/78 + -85*(-77)/715? 4 Suppose -5*h = 18*y - 21*y + 960, y - 310 = 5*h. What is the remainder when y is divided by 97? 34 Let q = -42 - -48. Let l = 21 - 19. Calculate the remainder when 35 is divided by 2*l/q*6. 3 Suppose t = -2*t + 4*g + 245, -t + 50 = 5*g. Calculate the remainder when t is divided by -51*6/(-54)*(-26 + 29). 7 Let l(k) = k**3 + 63*k**2 + 231*k - 287. Calculate the remainder when 227 is divided by l(-59). 3 Suppose 0 = 2*q - 10 + 4. Let z(w) = w**3 - 11*w**2 - 13*w + 26. Let t be (20/(-25))/((-2)/30). What is the remainder when z(t) is divided by q? 2 Let p(k) be the first derivative of 47*k**3/6 - 4*k - 15. Let w(r) be the first derivative of p(r). Calculate the remainder when w(2) is divided by 32. 30 Let j(p) = 3*p**3 + 94*p**2 + 105*p + 41. Calculate the remainder when j(-30) is divided by 84. 71 Let c = 0 + 28. Suppose -2*d = -108 - c. What is the remainder when d is divided by 12? 8 Let v(s) = s**3 - s**2 + s - 6. Let p be v(0). Let q = p - -9. Suppose 0 = -q*y - 4*n + 107, n + 17 = y - 21. What is the remainder when y is divided by 20? 17 Let t be ((-13)/(-52))/(2/24) - -2. Let d(m) = -m**3 + 7*m**2 - 2*m + 11. What is the remainder when d(6) is divided by t/(((-75)/18)/(-5))? 5 Let s(i) = 3*i**2 - 10 + 4 + i**3 + 2 - 4*i. Suppose 59 = 2*m - 33. Calculate the remainder when m is divided by s(-3). 6 Suppose 45*u - 522 = 18. Let p(b) = 30*b + 117. What is the remainder when p(u) is divided by 80? 77 Suppose 62*b - m - 3132 = 58*b, -5*m = 3*b - 2349. What is the remainder when 800 is divided by b? 17 Let s be 40/15 - (-5)/15. Suppose 5*y + s*f = 438, -f - 3*f + 265 = 3*y. Calculate the remainder when y is divided by 33. 21 Calculate the remainder when 1252 is divided by 224800/725 + (-4)/58. 12 Suppose -2*v = -3*f - 49, 22 = -3*v + f + 78. Let l = 20 + v. Calculate the remainder when 102 is divided by l. 28 Suppose -4*x = -32*x - 22*x + 300. What is the remainder when 6256 is divided by x? 4 Suppose -5*l + 2*a = -655, -5*l - 28*a + 24*a = -625. What is the remainder when 640 is divided by l? 124 Let t be 0*(-4)/(-24)*-3. Let b be (t - 2)/(12/(-24)). Suppose 0*d - b*d + 56 = 0. What is the remainder when 80 is divided by d? 10 Let q(u) be the third derivative of u**6/40 - 17*u**5/60 + 2*u**4/3 - 4*u**3 - 142*u**2. Calculate the remainder when (-2)/(3 + -1) - -13 is divided by q(5). 0 Let o(w) = w + 7. Let n be o(-3). Let x be 0 + n + 0/1. Suppose 2*k - 4*b - 78 = 0, x*b - 53 = -k - b. What is the remainder when k is divided by 9? 7 Let i = -130 - -361. What is the remainder when i is divided by 8 - ((-3)/(-21) - 1152/224)? 10 Suppose 8 = -8*f - 688. Calculate the remainder when 27/6*(-1450)/f is divided by 23. 6 Calculate the remainder when (468/14)/((-2052)/(-672) - 3) is divided by 25. 24 Let k = 3 + 24. Suppose 3*i + 5*a = 245, -i + 82 - k = -5*a. Calculate the remainder when 220 is divided by i. 70 Suppose 3*y + 28*q - 473 = 21*q, 5*y - 2*q - 720 = 0. What is the remainder when y is divided by 92? 54 What is the remainder when 16191 is divided by (15 - -10) + 2/(-2) + -8? 15 Let d be (-32)/208 - (-228)/(-39). Calculate the remainder when ((-2)/(-4))/(1/d) - -132 is divided by 22. 19 Calculate the remainder when 320 is divided by (-18)/(-2) - (-12 + -78). 23 Let t be ((-2)/4)/((-4)/(-88)). Let v = t - -16. Suppose v*n - 44 - 51 = 0. Calculate the remainder when n is divided by 11. 8 Let k = -252 + 356. Suppose -a = 2 + 2, a = -4*o + k. Suppose 9*y + 2*u = 7*y + 204, -3*y + 5*u + 322 = 0. What is the remainder when y is divided by o? 23 Let u(w) = 58*w + 63. What is the remainder when 64 is divided by u(-1)? 4 Let s(a) = -103*a - 5069. Calculate the remainder when s(-70) is divided by 28. 13 Let y = 22188 + -22069. Calculate the remainder when 3559 is divided by y. 108 Calculate the remainder when 279378/495 + -2*3/15 is divided by 27. 24 Let c(z) = -36*z - 7. Let n(u) = -18*u - 3. Let l(r) = -4*c(r) + 10*n(r). Let t = -32698 - -32735. Calculate the remainder when l(-4) is divided by t. 31 Let m(y) = y**2 + 9*y - 865. What is the remainder when m(57) is divided by 42? 41 Suppose 3*b + 5*n = 606 + 207, -5*b + 1355 = n. What is the remainder when 2969 is divided by b? 259 Let j(w) = 2*w**3 - 114*w**2 + 430*w + 5. What is the remainder when 66 is divided by j(4)? 8 Let u(q) = 2*q**2 + 223*q - 4732. Let t(a) = a**2 + 7*a - 9. Calculate the remainder when u(-130) is divided by t(-10). 15 Suppose -3*k = -7*k - 5*i + 72, 5*i - 54 = -3*k. Let w(b) = 3*b + 41. Let h(o) = -7*o - 17. What is the remainder when w(k) is divided by h(-7)? 31 Suppose 0 = -25*w + 10*w + 1470. Let q(a) = 3*a + 32. What is the remainder when w is divided by q(-5)? 13 Suppose -29*h - 66*h + 7748 = -12202. What is the remainder when 14698 is divided by h? 208 What is the remainder when 7 + -6 + 5 + (1819 - -1) is divided by 63? 62 Let y = -27 + 649. Let a = y - 444. What is the remainder when a is divided by 18? 16 Suppose -3*i + 5*k = 5, -k + 32 - 3 = 5*i. Suppose 58 = i*o - 57. What is the remainder when o is divided by 54/10*(220/33 - 5)? 5 Suppose -2*d + 65 = 189. Let t(p) = 3*p**2 + 13. Let r be t(-5). Let i = d + r. Calculate the remainder when 103 is divided by i. 25 Let o = 104 + -96. What is the remainder when (-1 + 9)/o - 64/(-2) is divided by 17? 16 Let x(t) = 45*t**3. Let g be (268/3)/((-2)/(-6)). Let a = -245 + g. Calculate the remainder when x(1) is divided by a. 22 Let o = -3536 + 4023. Calculate the remainder when o is divided by 10. 7 Suppose v + w = 14, 4387*w + 12 = 4385*w. Suppose 3*p = 81 + 24. Suppose -3*s - p = -8*s. What is the remainder when v is divided by s? 6 Let z(s) = -2*s**3 - 9*s**2 + 299*s - 38. What is the remainder when z(-15) is divided by (-1)/(70/(-34) - -2)? 15 Suppose -8*a + 25095 = 7*a. Calculate the remainder when a/6 + 34/204 is divided by 47. 44 Suppose 3*n - 3*y = -87, -3*n - 46 = 3*y + 17. Let o be 5/n - (-2 + (-4322)/10). Suppose -11 = -5*z + o. Calculate the remainder when z is divided by 45. 44 Suppose -32 = -2*w + p, -193*p - 10 = -198*p. What is the remainder when 110 is divided by w? 8 Let p be (5/(10/318))/((-15)/20). Let k = -201 - p. Let n = 1 - -6. What is the remainder when k is divided by n? 4 Let w be 68/8 + (-9)/(-6). What is the remainder when 137 is divided by (16 - w) + -3 + 7? 7 Suppose -g + 248 + 553 = -5*l, 0 = -5*g + 5*l + 3985. What is the remainder when g is divided by 42? 40 Suppose 0 = -k - 0*m + 5*m - 45, k + 4*m + 27 = 0. Let n(o) = -13*o - 309. What is the remainder when n(k) is divided by 37? 35 Let v(j) be the third derivative of -43/6*j**3 + 0 + 15*j**2 + 5/24*j**4 + 0*j. What is the remainder when 22 is divided by v(10)? 1 Suppose 2*a - 175 = 5*v - 600, -v + 85 = -a. Calculate the remainder when v is divided by 39. 7 Suppose -3*t + 637 = -2*i, -5*t + i = -560 - 511. What is the remainder when t is divided by 49? 19 Let w be 3/9*206 - (-5)/15. Calculate the remainder when (-2)/4*(w + -383) is divided by 79. 78 Let s = -14 - -72. Let t = 4359 + -4344. Calculate the remainder when s is divided by t. 13 Let f = 2576 + -2560. Calculate the remainder when 2840 is divided by f. 8 Let t(m) = -m**3 - 19*m**2 + 87*m + 1765. What is the remainder when 5145 is divided by t(-19)? 105 Suppose -2358 + 721 = -3*u + 5*x, 1621 = 3*u - x. Suppose -u + 134 = -15*p. Calculate the remainder when 130 is divided by p. 22 Let j(o) = o**2 - 9*o - 43. Let u(x) = -x**3 + 15*x**2 + x - 22. Let k be u(15). What is the remainder when j(k) is divided by 8? 5 Let c(v) = -2*v**2 + 45*v - 65. Let s be c(21). Let d(n) = 4*n**2 + 17*n + 32. What is the remainder when d(s) is divided by 6? 2 Suppose 4*i + 11424 = 55*i. Calculate the remainder when 461 is divided by i. 13 Suppose -22*j + 666 = -16*j. Suppose 20*c - j = -11. Calculate the remainder when 34 is divided by c. 4 Suppose 3*k + 9 + 3 = -5*x, -3*k = -3. What is the remainder when (-218)/x - (-1)/3 is divided by 19? 16 Suppose 3*c + 12 = 4*m - 21, 4*m - 5*c = 39. Suppose 59 + 31 = m*k. What is the remainder when (-208)/(-5) + (-2 - (-21)/k) is divided by 11? 8 Let p = -6540 + 6644. Calculat
{ "pile_set_name": "DM Mathematics" }
ater: t or x? t Suppose 0 = -3*x + 5*x - 8. Suppose 0 = -u - x*t - 6, 18 = -3*u + 2*t - 6*t. Let n be (u - -8) + (-8)/6. Are 0 and n non-equal? True Let g be -1 + (-786)/96 - -9. Which is greater: 0.4 or g? 0.4 Suppose y - 6*y = 0. Suppose z + q + 13 = y, -z - 3*z - 50 = 2*q. Let j be (1 - 1)/(z/(-4)). Which is smaller: 1 or j? j Let f = -2492 + 27410/11. Do -0.072 and f have the same value? False Let b be -2*(56/228)/(-7). Let a = b + 176/741. Let y be (-5)/(-7) - (-2)/7. Is a >= y? False Let l = -641/58275 - -4/259. Is 0 bigger than l? False Suppose 63*o = 67*o - 8. Which is smaller: -106 or o? -106 Suppose k + 5 = -0*k - 5*p, -4*k - 5*p - 65 = 0. Let i = k - 3. Which is smaller: i or -25? -25 Suppose 4*d + 392 = -4*o, 2*o + 3*d - 578 = -778. Which is smaller: o or -95? -95 Let r be (-1976)/190 - 3/5. Suppose 5*v + 70 = 3*h - 5*h, 10 = -2*h. Which is greater: r or v? r Let z = 0.08 + 0. Let q = 1.23 + -1.41. Let x = q + z. Which is bigger: -3 or x? x Let s(v) = -v**2 + 6*v + 8. Let a be s(6). Let j be (4/a)/(10/(-44)). Is -2 greater than j? True Let w = -103 - -155. Let r = 37 - w. Let n = -17 - r. Is n less than -1? True Let s(d) = 22*d + 175. Let p be s(-8). Which is greater: p or -3/682? -3/682 Let y = 0.9 - 1.9. Let z = 673/4 + -169. Which is smaller: y or z? y Let r be (-1*(-1)/13)/((-224)/192). Is r at most as big as 1? True Let b = -0.113 + 0.213. Which is bigger: -17.1 or b? b Let l = -104 - -106. Suppose -4*o - n = o + 310, l*o + 102 = 4*n. Does o = -59? False Suppose -605 = -52*b - 33. Is 37/3 less than or equal to b? False Let b be (-24)/32*4/(-142). Is b at most as big as 1? True Let z = 0.43 - 0.11. Let x = -0.28 - z. Is -1 <= x? True Let l(o) = -o**2 + o + 1. Suppose -3*w = -0*w - 3. Let d be 0*((-12)/(-8) - w). Let b be l(d). Which is smaller: b or 0? 0 Suppose 0 = -17*c + 3*c - 140. Let j be (-6)/4*c/3. Is -2 at most j? True Let t be 6/(-33) - 26/(-22). Let n be -2*(t - 0)*(8 + 13). Which is smaller: -41 or n? n Let r = -1038/143 + 90/11. Which is greater: 0 or r? r Let s = 0 - 12. Let u = -74 + 76. Which is bigger: s or u? u Let o = -352 + 246. Let a be o/(-210) - (-12)/(-20). Suppose 0 = 2*r + 2*r. Which is smaller: r or a? a Let z be -1 - -6 - (0 + -1). Let u = z - 5. Let q be 2 + -6 + (-288)/(-63). Which is smaller: u or q? q Let v(s) = -s**3 - 5*s**2 + 2. Let w be v(-5). Suppose w*h = o + 11, h - 4 = 2*o - 0. Let d be -4 - -3 - 5/(-4). Which is smaller: d or h? d Let i be (-3)/(-7) - 9/21. Suppose -4*u - 12 = i, -3*j - 4*u + 18 = -6*u. Are j and 4 unequal? False Let i be (2 + 15/(-6))/(-2). Let d = 0.2 - 34.2. Let n = 31 + d. Which is smaller: n or i? n Let r be ((-37)/259)/(2/4). Let z = 8 + -6. Suppose z*j + 1 = 3. Which is bigger: r or j? j Let a(c) = 2*c**2 + 28*c + 149. Let p be a(-6). Is p greater than 54? False Suppose t + 27 - 69 = 0. Suppose 178*g - 177*g = -t. Which is bigger: g or -41? -41 Let n be ((-4)/(-14))/((-10)/(-70)). Suppose n*o - j - 9 = 0, -2*o = 2*o + 3*j - 43. Is 9 less than or equal to o? False Let g = 30 + -23. Suppose -p - 6 = -4*y - 2*p, 3*y = 4*p + 14. Suppose g*q + y = 5*q. Which is bigger: 2/17 or q? 2/17 Let i = 694 - 812.1. Let q = i - -118. Which is smaller: q or -7? -7 Let i be 2 - 1 - 447/21. Let t = -144/7 - i. Let a = -3.21 + 0.21. Which is bigger: a or t? t Let o(s) = 63*s - 3. Let m be o(1). Let z be (-3)/4 + m/48. Which is greater: -10 or z? z Suppose -2*y + 148 = 3*d, -5*y + 350 = -3*d - 62. Let m = 80 - y. Which is bigger: -1/25 or m? m Let y = -1125 + 2039. Is y greater than or equal to -1/3? True Suppose 1699 = 4*r - 42*w + 43*w, 0 = 4*r - 4*w - 1724. Is r less than 425? False Suppose -4*j - 142 = i - 0*i, -2*j - 76 = -2*i. Let c be (8/j)/(10/15). Which is bigger: c or 1? 1 Let w be (-2)/12 - 424860/(-360). Which is smaller: 1181 or w? w Suppose -18 = -0*y + 2*y. Let x = y - -19. Let t be 8/20 + (-4)/x. Which is bigger: 3/2 or t? 3/2 Let j = 0.02 + -0.12. Suppose 2*p - 4*p - 4*k = 62, -k + 177 = -5*p. Let v = p - -39. Which is smaller: v or j? j Let k(g) = g**3 - 16*g**2 - 8*g + 51. Let c be k(16). Is c <= -0.1? True Let s be (1/12)/((-170)/(-326910)). Do s and 160 have the same value? False Let v be (-245)/74 + 3 - 1/(-2). Let c = -198/851 + v. Which is bigger: 0 or c? 0 Let n = -1135 - -101013/89. Let x = 4 - 3. Which is smaller: n or x? n Suppose -5*m - 4 - 6 = 3*p, -2 = m + 5*p. Is 2/71 < m? False Let y be (2 + (-45)/10)*-4. Suppose -y = -0*m + 2*m, -2*c + 17 = -3*m. Are -2/7 and c non-equal? True Let m(i) = 3*i**3 + 49*i**2 - 14*i + 6. Let c be m(-15). Which is smaller: c or -1/3? -1/3 Let h(k) = -5*k**2 + k - k**2 + 5*k**2 - 10. Let l be h(-4). Let a be l/(-18)*2/10. Which is greater: a or 0? a Let p = -28 + 45. Let k = -5 + p. Let t = 11.8 - k. Which is smaller: 4/5 or t? t Let v = -24 - -124/5. Let z = v + -17/15. Which is greater: z or -6? z Suppose -3*f - 9 = -5*z + 13, 5*f - 5*z + 20 = 0. Suppose -10*u + 3*u + 2*u = 0. Is f greater than or equal to u? True Let w = 3 + -4. Let i = 317/6 - 3649/66. Let q = i - -28/11. Is w greater than or equal to q? False Let x(o) = o**3 + 4*o**2 - 21*o - 21. Let c be x(-8). Do -107 and c have the same value? False Let t(w) be the second derivative of -w**4/12 + 4*w**3/3 - 15*w**2/2 - 18*w. Let x be t(6). Which is bigger: x or 4? 4 Let k be (-6)/(-8) + (-549)/(-4). Let h be (-4 - -1) + 402/k. Let f(c) = -c**3 + 5*c**2 - 1. Let p be f(5). Is h <= p? False Suppose d + 3*b - 7*b = 33, -3*b + 9 = 0. Let s = d + -45. Which is bigger: s or -7? s Let t(z) = -z - 1. Let g be t(-3). Suppose 4 - g = -u. Suppose -2*q + 0 - 6 = 0. Which is smaller: u or q? q Let g = 1121.3 + -1225. Let d = g - -106. Which is bigger: d or -0.2? d Suppose 2*j = -2*b + 4*b - 24, 2*j + 8 = 0. Let n = 16 - 1. Let z = n - b. Is z less than or equal to 7? True Let a = -20 + 22. Suppose -2*s + 12 = 3*f + f, a*s = 4*f - 4. Let r be 5 - f - 114/36. Which is smaller: r or -1? -1 Let m = 21247/43 - 494. Let o = -313/473 + m. Which is smaller: o or -1? -1 Let s be (-32)/24*3/(-4). Let l be ((-8)/(-16))/(s*-7). Is 2/7 >= l? True Let f be (-30)/21*(-374)/5. Let b(n) = -13*n + 62. Let x be b(13). Let h = f + x. Which is greater: -1 or h? h Suppose 39 = -3*m - 135. Let o = -57 - m. Which is smaller: o or 8/11? 8/11 Let v(z) = z**3 + 4*z**2 - 30*z + 8. Let s be v(-8). Which is smaller: s or -25/3? -25/3 Let a(k) = -k**3 + 14*k**2 - 6*k - 22. Let q be a(11). Let c = -2203/8 + q. Which is bigger: c or 3/7? 3/7 Let j = -67 + 604/9. Let c = 1.46 + -1.46. Which is smaller: j or c? c Let j = -424 + 411. Which is smaller: -51/4 or j? j Suppose -3*z - 17 = -11. Let p be (-24)/8*(0 - z/(-6)). Let w be (((-6)/(-213))/2)/(-1). Is w greater than p? False Let y be (-54)/(-7) + 4/14. Suppose -4*p - 3 + 51 = 0. Suppose 6*w = 8*w - p. Is w < y? True Suppose -x - 112 = -3*v, -169 = -5*v - 3*x + 27. Suppose -v*c + 37*c = -1. Which is smaller: -2/5 or c? -2/5 Suppose 0 = p + 3, 3*p - 4*p + 135 = 3*v. Suppose -3*g + v = -92. Suppose 3*o - 73 - 73 = -5*j, 0 = -j + 5*o + g. Is -0.1 equal to j? False Let u = 9 - -5. Suppose -u*b - 1 = -15. Are b and 11/8 equal? False Let l = -52.4 + 34.5. Let f = 0.17 - -17.83. Let r = f + l. Is r < 18? True Suppose -13 = -a - 5*p + 17, 0 = 2*a + 5*p - 35. Suppose 0 = -a*s - 25, s + 5 = m - 2*m. Which is bigger: m or -2/11? m Let v = 66 - 67. Let p = 64/13 - 2163/442. Which is greater: v or p? p Let y = 53 + -38. Suppose 5*k + 2*i - 83 = -32, 5*i - y = 0. Which is greater: k or 10? 10 Let m = -31 + 11. Let k = 8 + m. Which is greater: k or -2? -2 Let j(y) = 2*y**3 - 13*y**2 + 10*y - 13. Let r be j(7). Let p = r + -105. Which is smaller: p or 1/3? 1/3 Let w = -934 + 61645/66. Let k = 3 - 4. Which is greater: k or w? w Let w(u) = u**2 - 3*u - 6. Let a be w(7). Let j(v) = -v**2 + 15*v + 23. Let f be j(20). Let o be 186/14 + a/f. Is o smaller than 12? False Let n be ((-182)/(-3))/((-54)/(-162)). Which is greater: n or 183? 183 Let q = -517 + 518. Which is greater: q or -12/25? q Let l be 3/(-1) + (-3)/(-1) + -3. Let y(o) = -3*o + 28. Let r be y(10). Which is greater: r or l? r Let k be (-6)/(-4)*4/3. Let j be 0/k - -1 - 0. Suppose -5*v - 7 - 16 = -3*p, -5*p + 3*v + 17 = 0. Is p > j? False Let j = 0.35 + -0.05. Let s = j + -0.4. Is -10 at most s? True Let h(p) = p**2 -
{ "pile_set_name": "DM Mathematics" }
e i(w). 1 Let v(b) be the second derivative of -5*b**4/24 - b**3/6 - b**2/2 + 2*b. Let m(s) be the first derivative of v(s). Let p be (-12)/5 - 14/(-35). Calculate m(p). 9 Let z(c) = c**3 + 2*c**2 - 5*c + 7. Let v(t) = t - 1. Let l(p) = 6*v(p) + z(p). Determine l(-1). 1 Suppose -2*h = 2*a + 2*a + 12, h = -4*a - 10. Let z be ((-3)/2)/(5/(-10)). Let q(v) = 4*v**3 + v**2 - v - 2*v**3 - v**z + 1. Give q(h). -1 Let n(z) be the third derivative of z**5/60 + z**4/8 - z**3/3 - 4*z**2. Determine n(-2). -4 Let g be ((-10)/8)/(3/(-12)). Suppose 0 = -g*j - 20. Let q(k) = -k**3 - 3*k**2 + 3*k - 5. What is q(j)? -1 Let d(x) = x**3 + 12*x**2 + 23*x + 25. Let n be d(-10). Let t(s) be the first derivative of 1/2*s**2 + 1/4*s**4 + 5/3*s**3 - s + 1. Calculate t(n). -6 Let a(l) = 2*l**2 - 11*l - 4. Let j(f) = -f**2 + 12*f + 5. Let m(q) = 2*a(q) + 3*j(q). Calculate m(-13). -6 Let b = -158 - -159. Let l(s) = -2*s + 1. Determine l(b). -1 Let q(a) = 4 - 3 + 2*a + 0*a - a. Let b(v) = -v. Let i(k) = 3*b(k) + q(k). What is i(1)? -1 Let h be (-66)/(-10) - 2/(-5). Let u(y) = 2*y - 2 - y**2 - h*y + 0*y + 2*y**2. What is u(4)? -6 Let x(y) be the second derivative of y**3/3 - y**2/2 + 7*y. What is x(-2)? -5 Let d = -6 + 12. Let n(u) = -u**3 + 7*u**2 + 9*u - 6. Let p be n(8). Let y(q) = q**2 + 2*q - d - q**3 + 3*q**p + 0*q**2 + 0*q**2. Calculate y(4). 2 Let o(x) = -x**2 - 7*x - 7. Let z be o(-5). Let y be (22/(-4))/((-1)/2). Let j(u) = -u - 1. Let s(r) = 6*r + 5. Let a(d) = y*j(d) + 2*s(d). Give a(z). 2 Let j(k) = -3*k + 4. Let q = -15 + 20. What is j(q)? -11 Let x(v) = -v**2 - 5*v - 3. Let a be -5*(18/10 + -1). Calculate x(a). 1 Suppose 0 = 3*q - 2*o + 101, -q + 5 = 5*o + 16. Let c = q + 13. Let s be (-1)/(2 - (-33)/c). Let b(n) = 2*n + 8. Determine b(s). -4 Let f(k) = k**2 + k + 1. Suppose n + 5*z = -18, 3*n = -0*z + 3*z + 36. Let m(b) = -n*b**2 + 2*b**2 - 8*b - 6 + b**2. Let c(i) = -5*f(i) - m(i). Determine c(3). 1 Let x(t) = t**2 - 2. Let k(s) = 2*s**2 - 5 - 12*s + 4 + 3. Let n be k(6). Calculate x(n). 2 Let l(o) be the first derivative of -o**3/3 - o**2 - 4*o + 1. Let b = -4 + 1. Determine l(b). -7 Let n(a) be the third derivative of 0*a + 7*a**2 + 1/6*a**3 + 0 + 1/12*a**4 + 1/15*a**5. What is n(-1)? 3 Let v(z) be the third derivative of z**6/120 + z**5/20 + z**4/6 + z**3/3 - 3*z**2. Let j = -15 + 12. What is v(j)? -10 Let v = 0 - 4. Let o(n) be the first derivative of n**3/3 + 2*n**2 - 2*n + 2. What is o(v)? -2 Let a(m) = -3*m + 2. Let t(x) = 6*x - 5. Let d(o) = -9*a(o) - 4*t(o). Let i(v) = -2*v - 1. Let g(f) = -4*d(f) - 7*i(f). What is g(2)? 3 Suppose j + 3 = -m, 3*m - 2*j - 4 - 2 = 0. Let h = m + -1. Let n(v) = 6*v**3 + 2*v**2 - 2*v - 3. Let u(i) = i**3 - i - 1. Let y(s) = -n(s) + 4*u(s). Give y(h). 1 Suppose 0 = -2*p - 5 - 1, 2*k - 2*p - 146 = 0. Suppose 5*b - 85 = -5*c + 3*b, 3*c + 5*b - k = 0. Let o = 10 - c. Let h(l) = l**2 + 4*l. Give h(o). 5 Let z(n) = -4*n**3 + 2*n**2 - 2*n + 1. Let b be (-5)/(15/6) - -3. Determine z(b). -3 Let s(x) = 11*x + 6. Let a(y) = 6*y + 3. Let m(d) = -5*a(d) + 3*s(d). Let c(r) = -r. Let g(o) = -6*c(o) - m(o). Let z = -4 - -6. Give g(z). 3 Let n(p) = 4*p**3 + 5*p**2 + p + 13. Let i(g) = -g**3 - g**2 + 1. Let l(h) = 5*i(h) + n(h). Determine l(0). 18 Let b(l) be the third derivative of l**6/120 + l**5/20 + l**4/12 + l**3/2 - 10*l**2. Let c(j) = j**3 + 3*j**2 + 2*j + 3. Let h be c(-3). Calculate b(h). -3 Let p(t) = t - 2 - t - 3*t + 2*t. Calculate p(6). -8 Let m(o) = -o - 1. Let w(s) = 2*s + 9. Let d(t) = -3*m(t) - w(t). Give d(0). -6 Let g = 0 + -5. Let c(f) = -53*f**2 + 3*f + 59*f**2 + 2*f**3 - f**3. Calculate c(g). 10 Let m(n) = -n - 13. Let v(r) = 3*r - 1. Let z be v(-2). Let a be m(z). Let i(u) = u**2 + 6*u - 3. What is i(a)? -3 Let r(p) = -p**2 + p. Let z(u) = -u**3 + 3*u**2 + 8*u - 6. Let k(g) = -2*r(g) + z(g). Let d(a) = a**3 - 2*a + 2. Let x be d(2). What is k(x)? -6 Let y(s) = s**3 - 3*s**2 + 4. Let d(w) be the third derivative of 1/60*w**5 - 2*w**2 + 1/8*w**4 - 7/6*w**3 + 0*w + 0. Let i be d(-5). Calculate y(i). 4 Let l(f) = -f**2 - 7*f - 3. Let z(m) = -m**3 + 2*m**2 + m - 4. Let u be z(0). Determine l(u). 9 Let o be 6/12 - (-6)/(-4) - -4. Let c(i) = 2*i - 4. Give c(o). 2 Let g = -137 + 140. Let o(u) = -u**3 + 5*u**2 - 3*u - 3. What is o(g)? 6 Let y(s) = -s**3 - s + 4. Let w = -42 - -42. What is y(w)? 4 Let y(a) = -a**3 + 4*a**2 + 7*a + 2. Suppose -p = -5, 0 = -l + 2*p + 3*p - 21. Let n be 0 + 2 + -1 + l. What is y(n)? 12 Let a(l) = -l. Let j(o) be the third derivative of o**5/60 - o**3/6 + 3*o**2. Let w(f) = a(f) - 2*j(f). Suppose -3*s - 4 = -s. Determine w(s). -4 Let t(o) = 5*o**2 + 9*o - 14. Let v(c) = -c**2 + 1. Let w(r) = -t(r) - 6*v(r). Let q be w(8). Let h(a) = a**3 - a**2 - a - 5. Calculate h(q). -5 Let l(z) be the second derivative of -z**5/20 + z**3/6 - 3*z**2 + 5*z. Calculate l(0). -6 Let v(n) be the second derivative of 1/60*n**5 + 2*n + 1/8*n**4 + 0 + 1/2*n**2 - 2/3*n**3. Let m(k) be the first derivative of v(k). Calculate m(-4). 0 Let x(d) = 0*d - 6*d + 8*d - 7. Give x(5). 3 Let f(i) be the first derivative of -9*i**2/2 + 5*i - 9. Suppose 5*s + 16 = -14. Let u(v) = -v + 1. Let k(p) = s*u(p) + f(p). Determine k(-1). 2 Let d(a) = -a**3 - a + 1. Let n(z) = 4*z**3 + 7*z**2 + 11*z + 1. Let c(p) = 3*d(p) + n(p). Determine c(-6). -8 Let c(l) = -6*l - 5. Let i(x) = -7*x - 5. Let q(t) = -6*c(t) + 5*i(t). What is q(-7)? -2 Let j(o) = -1 + 6 + o + 0. Give j(6). 11 Suppose -2 = 2*d, t + 2*t - 11 = 5*d. Let z be (3/6*0)/t. Suppose z = q - 4*q - 15. Let i(c) = -c**3 - 6*c**2 - 6*c + 6. Give i(q). 11 Let f be 29/(-220) + (-2)/(-11). Let n(r) be the second derivative of f*r**5 + r + 7/2*r**2 - 1/3*r**4 - 4/3*r**3 + 0. Calculate n(5). -8 Let a(c) = -5*c**2 + c**3 - 1 + 3*c**2 - 3*c**2 + c + 4. What is a(5)? 8 Let m be (-63)/(-36) - (-2)/8. Let t = -3 - m. Let v(n) = 5*n**2 - 7*n + 1. Let a(h) = -6*h**2 + 8*h - 2. Let w(f) = t*v(f) - 4*a(f). Give w(4). -1 Let h(g) = -3*g - 1. Let o be (-35)/20 + 1/(-4). What is h(o)? 5 Let j(o) = -8*o**2 + 32*o - 6. Let r be j(4). Let h(b) = b**3 + 5*b**2 - 6*b - 5. Give h(r). -5 Let a(n) = -n - 10. Suppose -6*b - 72 + 30 = 0. What is a(b)? -3 Suppose d + 6 = 2*d. Suppose -k + 5*k - 10 = 3*w, -4*w = 2*k - 16. Let i be (k/(-3))/(2/d). Let g(z) = -z**3 - 5*z**2 - 3*z - 6. Give g(i). -10 Let a = 5 + -4. Let l(o) = 3*o**2 + 0 + a - o**2. Calculate l(1). 3 Suppose 0 = -7*z + 3*z + 16. Let a(t) = t - 3. Calculate a(z). 1 Let r(z) be the third derivative of -z**4/12 + z**3/2 - 39*z**2. Determine r(-4). 11 Let f be 1/(6/4)*3. Let y(o) be the first derivative of -o - o - o + 3 + 2*o - o**f. Determine y(2). -5 Let t = 6 + -1. Let q(d) = 5 + t*d**2 + 3*d**3 + 1 - d - 4*d**3 - 4*d**2. Give q(0). 6 Let i(s) = -18*s**3 + 2*s**2 + 7*s. Let y(a) = -9*a**3 + a**2 + 4*a. Let w(p) = 3*i(p) - 5*y(p). What is w(-1)? 9 Let y(g) be the first derivative of g**4/2 + g**3/3 - g**2/2 - g - 18. Give y(2). 17 Let l(t) = -2*t + 17. Let i be l(7). Let x(h) = h**2 + 3*h**2 - 5 - i*h + 9*h - 2*h**2. Determine x(-5). 15 Let w(i) = 3*i**2 - 9*i - 2. Let p(f) = f**2 - f. Let h(s) = 5*p(s) - w(s). What is h(-3)? 8 Let k(j) = -j + 1. Let b(t) = 2*t. Let l(f) = f. Let r(s) = -b(s) + 3*l(s). Suppose -4*o + 23 - 3 = 0. Let u be r(o). Determine k(u). -4 Suppose -23 = 3*i - f, -4*i - 34 = 4*f - 2*f. Let a(r) = -r**3 - 7*r**2 + 8*r - 1. Let q be a(i). Let t(c) = -6*c - 1. Give t(q). 5 Suppose 3*q + 3 = -2*g + g, -4*q = 5*g + 15. Let u(y) = q*y + 6*y**2 + y + 0*y + y**3 + 2. Calculate u(-6). -4 Let a(t) = -t. Suppose -2*g = -y - 3*y - 16, 0 = -3*g + y + 19. Suppose 4*s - 6 = g*s. Let l be (4 + s)*(3 - 0). What is a(l)? -3 Let y(z) = -z**3 - 3*z**2 + 2*z. Let d be y(-4). Suppose -2*j + 6 = q - 0, -j + d = 3*q. Let x(n) = 1 - n + 3*n**2 - 2*n**3 - 3 + 0. Calculate x(q). -8 Let t(l) = l**3 + 5*l**2 + 5*l + 4. Let q = 5 + 0. Suppose -a + q - 9 = 0. Calculate t(a). 0 Let t(z) = 3*z. Let v(g) be the first derivative of g**2 + 2. Let n(d) = -3*t(d) + 4*v(d). Suppose 15*p = 20*p - 10. What is n(p)? -2 Let r(b) = -b - 2. Let a(u) = -u - 3. Let t(g) = -4*a(g) + 7*r(g). Determine t(4). -14 Let o = 10 - 6. Let y(n) = 3*n + 5*n - 1 - 5 - 6*n. Determine y(o). 2 Let r(p) = -3*p - 21. Let k(w) = -2*w - 20. Let q(o) = -4*k(o) + 3*r(o). Let l be q(11). Let
{ "pile_set_name": "DM Mathematics" }
d 345.752 to the nearest one hundred. 300 Round -356899 to the nearest ten thousand. -360000 Round -1.40977 to one decimal place. -1.4 What is 62211700 rounded to the nearest one million? 62000000 What is -0.0080330818 rounded to four decimal places? -0.008 What is -0.0247556 rounded to 4 decimal places? -0.0248 What is -0.000026501585 rounded to seven dps? -0.0000265 Round -219563160 to the nearest 1000000. -220000000 What is -12.83748 rounded to the nearest integer? -13 What is 7400.6 rounded to the nearest one thousand? 7000 Round 366.148 to the nearest 10. 370 Round 0.004546082 to 6 decimal places. 0.004546 What is -2578245000 rounded to the nearest 1000000? -2578000000 What is 0.08016314 rounded to 3 decimal places? 0.08 Round 4039.474 to zero dps. 4039 Round -23350144 to the nearest one hundred thousand. -23400000 Round -0.00487831 to five dps. -0.00488 Round -140194060 to the nearest 1000000. -140000000 What is 147052.6 rounded to the nearest 10000? 150000 Round -0.000586125 to six dps. -0.000586 Round -0.00000400569 to five dps. 0 What is 78.5281 rounded to zero decimal places? 79 What is 41.27954 rounded to 1 decimal place? 41.3 Round -883868100 to the nearest 100000. -883900000 What is 139145 rounded to the nearest one thousand? 139000 What is -1535907500 rounded to the nearest 1000000? -1536000000 What is 147063 rounded to the nearest 100? 147100 Round 0.0009627815 to four decimal places. 0.001 Round -3633.968 to the nearest 10. -3630 What is 2001.74 rounded to the nearest one thousand? 2000 What is -20776.53 rounded to the nearest 10? -20780 Round 0.02233472 to three decimal places. 0.022 Round -114.8165 to the nearest ten. -110 Round 0.000000095694 to 7 dps. 0.0000001 Round 24656130 to the nearest 10000. 24660000 Round 72637.2 to the nearest one hundred. 72600 What is 0.0094735 rounded to 4 decimal places? 0.0095 Round 0.00211347 to 5 dps. 0.00211 What is -0.00002489348 rounded to 5 dps? -0.00002 Round -0.01069303 to 4 dps. -0.0107 Round 46452.3 to the nearest one thousand. 46000 What is 246.0136 rounded to the nearest 10? 250 What is 23.68105 rounded to two dps? 23.68 Round 0.0000157426 to six decimal places. 0.000016 Round 0.0004502198 to five decimal places. 0.00045 What is -10440703 rounded to the nearest 10000? -10440000 Round 16.54444 to 2 decimal places. 16.54 What is -7447200 rounded to the nearest one million? -7000000 Round -1.056445 to three dps. -1.056 What is 14494000 rounded to the nearest ten thousand? 14490000 Round -31182.71 to the nearest ten. -31180 Round 0.00431486 to 6 decimal places. 0.004315 Round 522253.5 to the nearest 1000000. 1000000 What is 189116630 rounded to the nearest 10000? 189120000 Round 59066120 to the nearest 10000. 59070000 What is 94.84066 rounded to one dp? 94.8 Round 45134.4 to the nearest 1000. 45000 What is 4628703 rounded to the nearest 1000000? 5000000 What is 10743.8732 rounded to the nearest ten? 10740 What is -0.0030655 rounded to five decimal places? -0.00307 Round 933697 to the nearest one hundred thousand. 900000 Round 281052 to the nearest 1000. 281000 What is 34338390 rounded to the nearest ten thousand? 34340000 Round 32188.6 to the nearest one hundred thousand. 0 What is 2854010 rounded to the nearest one million? 3000000 Round 2871532 to the nearest one thousand. 2872000 What is -0.00000461048 rounded to six dps? -0.000005 What is 0.295782 rounded to 1 decimal place? 0.3 Round 65.0009 to the nearest ten. 70 Round -0.212683 to one decimal place. -0.2 Round -0.00000278337 to 7 decimal places. -0.0000028 Round 33261000 to the nearest one million. 33000000 Round 343.954 to the nearest one hundred. 300 What is 0.0463062 rounded to 4 dps? 0.0463 What is 407489.5 rounded to the nearest one hundred? 407500 What is 0.32859487 rounded to 4 dps? 0.3286 What is -22096 rounded to the nearest 100? -22100 What is 0.00018470935 rounded to five decimal places? 0.00018 Round 55.25892 to one dp. 55.3 Round -0.00314528 to 4 dps. -0.0031 Round 3220.229 to the nearest 10. 3220 What is 0.057327 rounded to two decimal places? 0.06 What is -11.64763 rounded to the nearest integer? -12 Round 0.0000228263 to 7 dps. 0.0000228 What is -430814 rounded to the nearest 10000? -430000 Round 3519683 to the nearest 10000. 3520000 What is -1307.71 rounded to the nearest ten? -1310 What is -2277796 rounded to the nearest one million? -2000000 Round 4939923 to the nearest 100000. 4900000 Round 324.377 to the nearest 10. 320 Round -0.1245242 to 4 decimal places. -0.1245 What is 96105300 rounded to the nearest 1000000? 96000000 Round 8415969.2 to the nearest one thousand. 8416000 What is -0.00004007 rounded to five decimal places? -0.00004 Round 0.003806 to three decimal places. 0.004 Round -231.741 to the nearest 1000. 0 What is -11.86337 rounded to the nearest ten? -10 What is -1161180 rounded to the nearest 10000? -1160000 Round -82.4065 to the nearest 10. -80 What is 646.274 rounded to the nearest 10? 650 What is -413.8811 rounded to the nearest one hundred? -400 What is 0.00007376514 rounded to seven decimal places? 0.0000738 What is 91297000 rounded to the nearest one hundred thousand? 91300000 Round 0.64827 to one decimal place. 0.6 Round -106.7484 to the nearest ten. -110 What is 23217470 rounded to the nearest 100000? 23200000 What is 0.000012405 rounded to 6 dps? 0.000012 What is -3.8424721 rounded to one decimal place? -3.8 What is 8.6023 rounded to 0 dps? 9 Round -12189.334 to the nearest 1000. -12000 What is 4411250 rounded to the nearest 10000? 4410000 Round -0.00005394748 to four decimal places. -0.0001 Round 2905402800 to the nearest 1000000. 2905000000 What is -658.9107 rounded to the nearest integer? -659 What is 0.385951 rounded to four decimal places? 0.386 What is -483.0098 rounded to one decimal place? -483 Round -0.1129209 to two dps. -0.11 Round -0.48834702 to two decimal places. -0.49 Round -5.39452 to 1 decimal place. -5.4 What is -108.3014 rounded to 1 dp? -108.3 What is 104.107 rounded to 1 dp? 104.1 Round -0.1929784 to 3 dps. -0.193 Round 0.03212393 to 4 dps. 0.0321 Round -392.31 to the nearest 10. -390 Round -3.46307 to 2 dps. -3.46 Round -277.0636 to zero dps. -277 What is -2753.92 rounded to the nearest one hundred? -2800 Round -5742.8895 to the nearest ten. -5740 What is 0.2378713 rounded to four decimal places? 0.2379 Round -0.1403734 to three decimal places. -0.14 Round -0.06623832 to three dps. -0.066 Round 24159800 to the nearest 100000. 24200000 What is 791353 rounded to the nearest 10000? 790000 Round -132136630 to the nearest one million. -132000000 What is -14993185000 rounded to the nearest 1000000? -14993000000 Round 457.5877 to zero dps. 458 What is 2.01403 rounded to three dps? 2.014 Round -0.00009725881 to six decimal places. -0.000097 Round -0.003619423 to three decimal places. -0.004 Round -0.0966274 to two decimal places. -0.1 Round -1384.3076 to the nearest one hundred. -1400 What is 0.000021271 rounded to 7 dps? 0.0000213 What is 57.270004 rounded to two dps? 57.27 What is -12.511 rounded to one decimal place? -12.5 What is 8277.013 rounded to the nearest 100? 8300 Round -0.00481947 to 4 dps. -0.0048 Round -41.25663 to the nearest 10. -40 Round -0.0038671162 to six decimal places. -0.003867 What is 528423.6 rounded to the nearest 100000? 500000 What is -228192390 rounded to the nearest 1000000? -228000000 What is 0.0001643092 rounded to six dps? 0.000164 What is -926.293 rounded to the nearest 10? -930 What is 0.07173449 rounded to 5 dps? 0.07173 Round 35.9742 to one dp. 36 Round 3807.3 to the nearest 1000. 4000 What is -0.145537 rounded to 4 dps? -0.1455 What is 0.18673986 rounded to two dps? 0.19 What is -7247.3 rounded to the nearest 10000? -10000 What is 46.7538 rounded to 1 decimal place? 46.8 Round 0.0000558201 to seven decimal places. 0.0000558 Round -3415991 to the nearest 10000. -3420000 Round 45550.45 to the nearest 10. 45550 What is -0.00010026729 rounded to 6 dps? -0.0001 Round 1.8102964 to one decimal place. 1.8 Round 0.000061322747 to five decimal places. 0.00006 What is -14313390 rounded to the nearest 10000? -14310000 Round 30.10941 to the nearest integer. 30 Round -3176160 to the nearest 100000. -3200000 What is -1920916 rounded to the nearest
{ "pile_set_name": "DM Mathematics" }
*k + 3*k)*(-3 + 3*k**2 + 3) + (2*k - 5*k**2 - 2*k)*(-3*k + 0*k + 2*k). -31*k**3 Expand (-4*q + q + 2*q)*(-q**2 + 9*q**2 - 2*q**2)*(-2 - 4 - 6). 72*q**3 Expand 45*k**2 - 51*k**2 + 7 - 5 + 11*k + 2*k**2 - 2*k**2 + 2*k**2 + (1 + 2*k - 1)*(-4*k + 6*k - 4*k) + 4*k - 4*k - 2*k**2 - k**2 + 0*k**2 + 3*k**2. -8*k**2 + 11*k + 2 Expand (-2*f - 3*f + 4*f)*(200 - 689 + 129 + 226). 134*f Expand (-15 - 3 + 5)*(-11*w + 0*w - 37*w). 624*w Expand 3*r - r - r + (2 + 1 - 1)*(-6 - 18*r + 32*r - 5*r). 19*r - 12 Expand (7*p + 3*p - 6*p)*(p + 2*p + 0*p + (-2*p - p + 4*p)*(1 - 1 + 2) - 4*p + 11*p + 5*p)*(-2 - 3 + 3 + (-1 + 3 - 1)*(-3 + 1 + 1) - 5 + 1 + 2). -340*p**2 Expand (3*s**5 - 3*s**5 + 2*s**5 + (3 + 5 - 6)*(s**5 - 4*s**5 + 4*s**5))*(0 - 7 + 8). 4*s**5 Expand ((-10*s + 48 - 48)*(-2 - 3 + 3) + (1 - 3 + 4)*(-3*s + 4*s + 3*s))*(5 - 5 + s). 28*s**2 Expand (-2 + 4 - 1)*(4*h**2 - h**2 - 5*h**2) - 38 - 3*h**2 + h**2 + 41 + 0*h**2 - 2*h**2 - 2*h**2. -8*h**2 + 3 Expand -4*c**3 + 12*c - 12*c + (3*c**2 + c**2 - 2*c**2)*(-2*c - 2*c + 2*c) - c**3 - 2*c**3 + 5*c**3 - 11*c**3 - 27*c**3 - 3*c**3. -47*c**3 Expand -4*q**2 - 5 + 5 - 3*q**2 - 2*q**2 + 4*q**2 + (q - q + 14*q)*(3*q - 2*q - 3*q). -33*q**2 Expand (3 - 5 + 0)*(-3*w**5 + 3*w**5 - 2*w**5) + (-8*w + 14*w - w)*(w**2 - w**2 - w**2)*(-w**2 + 0*w**2 + 2*w**2). -w**5 Expand (-47*m**2 + 135*m**2 + 92*m**2)*(-4 + 3 + m**2 + 2). 180*m**4 + 180*m**2 Expand -2*w**2 - 2*w**2 + 3*w**2 + 0*w**2 + 2*w**2 - 3*w**2 + (2*w - 6*w + 2*w)*(2*w + 2*w - 5*w) - 6*w + 6*w**2 + 6*w. 6*w**2 Expand (-3*v**3 - 2*v**3 + v**3)*(0*v + 2*v - 4*v) + (2*v**2 - v**2 + v**2)*(7*v**2 - 14 + 14). 22*v**4 Expand (5*u - 3*u - 3*u)*(0*u - 4*u + 3*u) + 2*u**2 - 3*u**2 + 2*u**2 + 81*u - u**2 + 2*u**2 - 2*u**2. u**2 + 81*u Expand (-1290*x + 461*x - 365*x - x - 3*x + 2*x + (-3 + 3 + x)*(-4 + 1 + 1))*(-3 - 2*x + 3). 2396*x**2 Expand (13*s + 0*s - s + (3 - 2 + 0)*(-5*s + s + 5*s))*(-8*s + 4*s - s). -65*s**2 Expand 63*c**4 - 44*c**4 - 33*c**4 - c + 3*c**4 - 2*c**4 + 0*c**4 + c**4 + 0*c**2 + 0*c**2 - 2*c**4 - c**4 + 2*c**4 + (2 - 1 + 1)*(-c**4 + 3*c**4 - c**4). -11*c**4 - c Expand (129 - 66 - 66)*(1 + 4 - 4)*(5 + 4*j + 0*j - 3*j). -3*j - 15 Expand 31*n**2 + 3*n**2 + 28*n**2 + 0*n**2 - n**2 + 0*n**2 - n**2 + 2*n**2 + 0*n**2 + (0 + 0 + 2*n)*(2*n + 2*n - 5*n) - n**2 + 2 - 2. 59*n**2 Expand ((2 + 1 - 2)*(3 - 1 - 1) + 139 - 175 + 570)*(-2*m - 3 + 3). -1070*m Expand (0*z + 4*z + 6*z)*(z - z + 3*z). 30*z**2 Expand (-1 + 0 - 1)*(1 + 0 + 2)*(-4*q + 8*q + 3*q)*(3 - 1 - 3) - 4*q - 27 + 27. 38*q Expand (q**3 - 2*q**2 + 2*q**2)*(-4*q + 8 - 8 + (2*q - 5*q + q)*(-1 + 0 - 2) - q + 2 - 2). q**4 Expand -14*k**2 - 39*k + 22*k**2 - 7*k**2 + (-4*k + 2*k + 0*k)*(-2*k + k - 2*k). 7*k**2 - 39*k Expand (-262*u**2 - 569*u**2 + 46*u**2)*(3 + 2 - 4). -785*u**2 Expand (8*i + 17 - 17)*(-3*i - i - 4*i)*(0 + 2 - 4). 128*i**2 Expand (-3 + 5 + 0)*(0 - 1 + 2)*((-2 + 3 + 0)*(-3*g + 7*g - g) + 0*g + 2*g - g + g + 3 - 3 + (-1 + 1 + 2)*(2*g - 1 + 1) - 2*g - g + 0*g) - 5*g - 3*g + 4*g. 8*g Expand -2*i**3 - 4*i**3 + i**3 + (4 + 14 + 3)*(3 + i - 3)*(-2*i**2 - 2*i + 2*i). -47*i**3 Expand 0*h**2 - 2 + h**2 - 2*h**2 + 7*h**2 + 4*h**2 - 2*h**2 - 4*h - h**2 + 4*h + (-4*h + 2*h + 4*h)*(4 - 4 - 2*h) + 2*h - 2*h + h**2. 4*h**2 - 2 Expand (7 + 2 - 6)*(-2*z**2 + 3*z - 3*z)*(17*z - 64*z - 46*z). 558*z**3 Expand (-3 + 12 + 3)*(3*x - 4*x + 2*x)*(4 - 2 - 4). -24*x Expand (-38 + 6 + 67 + 63 + 89)*(-28*q - 9*q**3 + 28*q). -1683*q**3 Expand (3*m - 4*m + 3*m)*(15 - 14 - 27)*(m + m - 3*m + m + 2*m - 2*m + (m - 4*m + 4*m)*(2 - 2 - 2)). 104*m**2 Expand (-4*c**2 - c**2 - c**2 + (5*c**2 - 8*c**2 - 3*c**2)*(0 + 4 - 3) + 3 + c**2 - 3)*(4*c**2 - 3*c + 3*c). -44*c**4 Expand (-4*y**5 + 0*y**5 + 2*y**5)*(7 - 1 - 3 + (5 - 5 + 1)*(1 + 3 - 3))*(-5 + 1 - 14). 144*y**5 Expand -p + 1 - 1 + (5*p + p - 4*p)*(-1 + 0 + 0) - 2 - p + 2 + 4*p + 8*p + 21*p + 9 - 4*p - 9. 25*p Expand (-3 + 2 + 3)*(-2*z + 5*z - z) - 1006 + 1006 + 646*z. 650*z Expand 6*a**5 - 8*a**5 - 125*a**5 + (5 - 2*a**3 - 5)*(-4*a**2 - 4*a**2 + 5*a**2). -121*a**5 Expand (12*q - 13*q + 18*q)*(1 - 1 - 2)*(2 + 4 - 4) + 2*q - q + 2*q. -65*q Expand (v + 0*v - 2*v + v + 0 + 0 + (-5*v + v + 3*v)*(-3 + 1 + 0) - v + v + 2*v + 1 - 2*v - 1)*(-260*v - 1 - 1 + 263*v). 6*v**2 - 4*v Expand 0*x**4 + x**4 + x**4 + 2*x**4 + x**4 - 4*x**4 + (-x**3 - x**3 + 0*x**3)*(-x - x + x) + 2220*x - 2220*x - 31*x**4. -28*x**4 Expand (3 - 3 - 1)*(-133 + 284 - 66)*(-2*n**2 - 3 + 3). 170*n**2 Expand (-15*l + 15*l**2 + 15*l)*(-18*l + 18*l + 14*l**3). 210*l**5 Expand b - 2*b + 4*b - 2*b + 0*b + 3*b + (-3*b + b + b)*(-3 + 1 + 0) + 3*b + 0*b - b + (-2*b - b + 4*b)*(74 + 181 - 172). 91*b Expand (20 + 68*q - 20)*(0*q - 3 + 2*q - 5*q) - 4*q**2 + 8*q**2 + 0*q**2. -200*q**2 - 204*q Expand (23*g - 15*g**4 - 23*g)*(0 + 1 + 1) - 4*g**2 - 4*g**4 + 4*g**2. -34*g**4 Expand 43*n - 8*n**3 - 43*n + (-6*n**2 - 9 + 9)*(n - 6*n + n). 16*n**3 Expand -13*y**5 + 12*y**5 + 20*y**4 - 4*y**5 - 5 + 5 + 5*y**5 + (2*y**3 + 2*y**5 - 2*y**3)*(-3 + 3 - 2). -4*y**5 + 20*y**4 Expand (-3*f**2 - 2*f + 3 - 5 + 5*f)*(3 - 4 - 4). 15*f**2 - 15*f + 10 Expand (-2 + 1 + 3)*(4834 - 2421 - 2417 + 4*f**2 + 65*f). 8*f**2 + 130*f - 8 Expand (-18 + 78 + 222)*(-4 - z**2 + 4 - 3*z). -282*z**2 - 846*z Expand (0 + 0 + 1)*(v**5 - 9*v**5 + v**5)*(0 + 1 - 2)*(0 + 0 - 2). -14*v**5 Expand (3*b + b - 2*b)*(-5 + 3 + 4) + 4*b - b - b - 2*b - 3 + 3 + 5*b - 3*b - b + (-1 + 1 - 3)*(-1 + 2 + 1)*(-4 - 39*b + 4). 239*b Expand (5*n - 3*n + 0*n + 2)*(-2*n - 123 + 113 + 238). -4*n**2 + 452*n + 456 Expand (2 - 3 - 1)*(34*a**2 + 22*a**3 - 21*a**3 - 71*a**2). -2*a**3 + 74*a**2 Expand (48*o + 43*o - 90*o)*(-3 + 2 - 11*o + 2). -11*o**2 + o Expand (2 - 2 - 2)*(-5*s + 3*s - s + (2*s - 4*s - 3*s)*(0 + 0 - 4)). -34*s Expand (3 + 8 - 2*f + 6)*(-125*f + 101*f + 78*f). -108*f**2 + 918*f Expand (-t**3 + t - t)*(0 + t + 0) - 468*t + 939*t - 472*t + 332*t**4 + (3*t + 2*t - 3*t)*(t**3 - 5*t**3 + 2*t**3). 327*t**4 - t Expand 4*s**2 + 56 - s**2 - 54 + 2*s + s + s**2 - s - s + 2*s**2 + s + (-s**2 - 2*s**2 + s**2)*(-2 + 1 - 1) + s**2 - 4*s**2 + 2*s**2 + 1 - 1 - 2*s**2. 7*s**2 + 2*s + 2 Expand (-2 + 1 + 2)*(-1 + 1 + q**2) + q**2 - q**2 - 2*q**2 + 2 - 24*q**2 - 13*q**2 + 31*q**2. -7*q**2 + 2 Expand (7*d**2 - 3*d**2 - 3*d**2)*(6*d**2 + 1 - 1) + 28*d**4 + 801*d**2 - 801*d**2. 34*d**4 Expand 10*c + 1 + 5*c - 7*c + (-4 + 2*c + 4)*(-4 + 2 + 0). 4*c + 1 Expand (2 - 171*b - 165*b + 337*b)*(5 - 11 - 6). -12*b - 24 Expand (-4*d + 11 - 11)*(5*d**3 - 2*d**3 - 2*d**3) - 3*d**2 + 8*d**4 + 33*d**2 - 6*d**4. -2*d**4 + 30*d**2 Expand (18 - 23 - 40)*(-1 - g**2 + 1) + (2*g + g - g)*(g - 3*g + 0*g) + 0 + 2*g**2 + 0 + 0*g**2 - 4*g**2 + 3*g**2. 42*g**2 Expand 0*v - 3*v + 4*v + (2 + 0 - 1)*(-4*v + 2*v + v) - 19*v + 14*v - 11*v + v + v - v. -15*v Expand (2 + 3 - 2)*(-2*q - q - q)*(-10*q**3 + q**3 - q**3). 120*q**4 Expand (191 - 84 - 100)*(-3 + 3 + n). 7*n Expand (j - j - 6*j)*(2*j**4 - j**4 - 3*j**4 + (-11*j + 11*j + 2*j**3)*(-j - 6*j + 3*j)). 60*j**5 Expand (-29*b**2 - 5*b + 5*b)*(0*b + 2*b - b) + 17*b - 12*b - 2*b + b**3. -28*b**3 + 3*b Expand (1 + 2 - 6)*(11 + i - 11)*(0 - 1 - 5). 18*i Expand 6*q**3 - 4*q**4 - 6*q**3 + (-3*q - q + 5*q)*(-q + q**3 + q) + (2*q**3 - 3*q**3 + 3*q**3)*(q - 2*q - 7*q). -19*q**4 Expand (213*p - 439*p + 203*p)*(-4*p**2 + 3*p**2 + 3*p**2) + p**3 + 0*p + 0*p. -45*p**3 Expand 2*p**5 - 6*p + 6*p + (1 - 1 + 2*p**2)*(-2*p + 2*p + p**3) + (-3 + 2*p**4 + 3)*(-2*p + 2*p + p) + 0*p**5 - 9*p**5 + p**5 + 3*p - 2*p**5 - 3*p. -4*p**5 Expand (3 + 2 - 3)*(-2 - k**4 + 1 + 6). -2*k**4 + 10 Expand -33*m - 5*m + 8*m + 6 + 0*m + m - 4 + (-6*m + 2*m + 3*m)*(5 - 4 + 1). -31*m + 2 Expand 0*n**3 + 2*n**3 - n**3 + 857*n - 857*n + 424*n**3 + (3 - 5 + 3)*(-2*n**3 - 4*n**2 + 4*n**2) - 2*n**3 - n + n. 421*n**3 Expand -3 + 3 - 2*a**2 + (3 + 0 - 5)*(2*a - a**2 - 2*a) - a**2 + 2*a**2 - 2*a**2 - 6*a**2 + a**2 + 2*a**2. -4*a**2 Expand (0*n**2 - n**2 + 6*n**2)*(n**2 - 2 + 2) + 70*n**4 - 15*n**4 - 4*n**4. 56*n**4 Expand -5*z**4 + 11*z**3 - 11*z**3 + (-73*z**2 - 69*z**2 + 56*z**2)*(2*z**2 + 1 - 1). -177*z**4 Expand (-2 - h**4 + 2)*(4*h - 2 + 2) - 2*h - h**5 + 2*h + (-4*h - h + 6*h)*(0*h**4 + h**4 + 0*h**4) - 4*h**3 + 4*h**3 + h**5 + 3 - 3 - h**5. -4*h**5 Expand (-1 - 1 - 1)*((-1 - t + 1)*(-3 + 0 + 4)*(2*t**3 + 0*t**3 - t**3) + (-398*t**2
{ "pile_set_name": "DM Mathematics" }
= 0, h + 4*c = -21. Is h not equal to a? True Let c be (2/(-3))/(11/(-66)). Suppose 0 = 3*n - c*x - 49, 5*x - 128 = -5*n - 23. Which is bigger: n or 17? n Let f(v) = v**3 - 20*v**2 - 17*v - 22. Let i be ((-5)/(-20))/((-6)/8)*-63. Let t be f(i). Do t and 61 have different values? True Let u = 1046 - 1705. Is -659 at least u? True Let r be 1/(-6) - (-1189)/10086. Suppose 4*o + 1 = 2*l - 15, -16 = -5*l + 4*o. Is l smaller than r? False Let i = -434/3 + 146. Suppose 3*y + 1 = -o, -11 = -2*o + 5*y - 2. Which is smaller: o or i? i Suppose 2*q + 53 = -3*n, n + 2*q = 4*n + 37. Is -13 greater than or equal to n? True Let y(v) = v**3 + 9*v**2 - v + 2. Let t be y(-8). Let n be (-14)/2470*t/6. Let b = -2/285 + n. Which is bigger: b or -1? b Let i = -11.45 - -11. Let b = i - -0.33. Let m = b + 3.12. Is 2 bigger than m? False Let n = 143.2 - 143. Which is smaller: 47 or n? n Let b(a) = 2*a**2 - 19*a + 8. Let h be b(9). Does h = 1/233? False Let k be -4*(-4)/(40/31). Let n = k - 12. Let a = -6 + 7. Are n and a non-equal? True Let j(w) = 4*w - 36. Let u be j(10). Let s be (104/(-12) + 2)/(u/30). Does -49 = s? False Suppose 0 = 4*f + 5*z + 8, 2*f - 3*z - 9 = 3*f. Let x be 80/28 - f - 103/14. Does 0 = x? False Let c be 4 - ((-2)/(-4) + (-201)/6). Which is bigger: c or 38? 38 Let q = 53.9 - 54. Which is smaller: q or -1/24? q Let z be 4/(-18) - (16/(-18))/(-8). Are z and -0.64 equal? False Let r = 1906.5 + -1908. Which is bigger: -3 or r? r Let k be 10*(5382/(-675) - -8). Which is greater: k or 12/11? 12/11 Let w be (-3 + 2)*(-3 - 20). Let q(n) = n**3 - n**2 + 3*n - 3. Let i be q(3). Is w greater than or equal to i? False Suppose -17*n = 5 - 22. Suppose -56 = 3*h + h. Is n bigger than h? True Let m = 726 + -728. Which is smaller: -68/25 or m? -68/25 Let i be 2 + (-2 - 1) + 58/57. Let h = i + -409/570. Is 0 bigger than h? True Let i(c) = c**3 + c**2 - 5*c - 5. Let o be 3/6*-2*2. Let a be i(o). Which is bigger: a or 2/13? a Suppose w = -4*w + m + 43, 28 = 4*w - 4*m. Suppose w*x + 8 = -10. Suppose v - 2*v = 1. Is v at least x? True Suppose 0 = -2*h - 5*k + 25, 0 = -h + 2*k - 4 - 6. Is -2/123 <= h? True Suppose 6 = 15*f - 69. Suppose 35 = -5*j + 4*k, k = -2*j + f*k - 26. Let i be 2/(-6) + 14/(-3). Is j at least as big as i? True Let x = 24 + -40. Let m = x - -10. Is -3 greater than or equal to m? True Let q be -3 - 3/(-5 - -2). Let h = 197 - 200. Which is smaller: q or h? h Let o be (-4)/8*(1 - -3). Let s be (o/(-126))/(3 + -2). Is s greater than or equal to 1/4? False Suppose 2*z + 6 - 2 = -w, 0 = 5*z + 4*w + 7. Let y be 55/z + (-4)/(-12). Let k = y + 71/4. Is k > 1? False Let k = 0.17 + -0.11. Let h = 0.11 - k. Let l = -0.8 - -0.7. Which is greater: l or h? h Let g = -1260 - -1255. Which is smaller: 2/7 or g? g Let y be (2052/90)/((-11)/5 + 2). Are -114 and y non-equal? False Let b be 5 + -10 + 18/3 + 2. Let h be 7*7/((-147)/(-18)). Do b and h have the same value? False Let a = 13.08 + -121.28. Let h = a - -104. Which is smaller: 2/3 or h? h Let z = -998 - -996. Which is smaller: z or -17/7? -17/7 Let j = 5101/20 - 255. Let b = -2 - -3. Do b and j have different values? True Suppose -38 = -5*t - 8. Let s = -2/6777 + 38405/6777. Which is smaller: s or t? s Let z = -6.7 - -6. Let r = 3773/10 + -377. Let m = -7/90 + r. Is z less than m? True Let t = 1627/414 - 34/9. Which is greater: t or -1? t Suppose p + 42 = 38. Let y = -189/8 - -159/8. Which is smaller: p or y? p Let d be ((-16)/(-20))/((-68)/(-30)). Which is bigger: d or 1? 1 Let k = 10 - 7. Suppose -4*s = -3*b - 31, -1 = -s + b + 8. Suppose -3*t + 8 = 4*g + 1, 3*t = -g + s. Is k greater than g? True Let n be -7 + -19 - (-22 - -9). Suppose 3*i - 12 = 5*w, 2*w + 0*w = -i + 4. Suppose -l + 5*l + 56 = w. Is l bigger than n? False Let z(d) = -30*d**3 + 2*d**2 - 1. Let v be z(1). Let c = 30 + v. Let u = -1697/6 - -284. Which is bigger: u or c? u Let u = 1.2 + -0.2. Let c be (792/(-220))/((60/(-80))/(5/14)). Which is greater: u or c? c Let y = 0.2 - 0.3. Let a be (-1)/(-3) + (-1675)/(-15). Let r be a/(-455) - 4/26. Is r <= y? True Let h be 15 + -18 - (-3)/1. Let i be -10*(5/(-60) - h). Does i = -1? False Suppose 5*h - 1332 = 8*l - 6*l, -5*l + h = 3307. Which is greater: l or -1? -1 Suppose -x + 20 = -3*y, -x + 30 = y - 6*y. Suppose z = -3*v - 20, 4*z + 40 = -2*v - 2*v. Let t be (y + (v - -3))*1. Which is smaller: t or -8? -8 Let g be 2*(3 - (-3)/(-6)). Let t be (-6)/(-3) + 0 + -2. Suppose t = 5*u - 36 + 6. Which is smaller: u or g? g Let r(w) = -15*w + 515. Let q be r(34). Which is greater: q or 48/13? q Suppose 54 = -5*l + 2*l. Let i be 58/4 + 9/l. Is 14 > i? False Let k = -2.971 - -0.071. Let l = k + 4.9. Is 4 at least as big as l? True Let c be 328/(-64) + 15/40. Are c and -6 unequal? True Suppose -3*z + 20 = 5. Suppose -z*b = b. Which is greater: b or -7? b Let n = 1470 + -931. Which is bigger: 538 or n? n Let s = 5587 - 206733/37. Is s less than 0? True Let m = 5 + 2. Suppose m*x = 5*x + 10. Suppose 2*o + 0*o + 4 = -4*c, -x*c = -5*o + 35. Which is smaller: c or -1? c Let n = -1290/11 + 1802/33. Which is smaller: n or -62? n Let y = 2190 - 2199. Is y greater than or equal to -24? True Let q = 61 - 16. Suppose -60*p + 65*p - q = 0. Which is greater: 7 or p? p Let i(y) = -7*y - 31. Let x be i(-15). Is -4 at least x? False Suppose 4*b = -4*o + 20, 3*o = -2*b + 1 + 12. Suppose -2 = b*c - 10. Let f be (-3)/(-18) + c/48. Which is bigger: 15 or f? 15 Let d(c) = -c**3 + 7*c**2 - 8*c + 6. Let o be d(5). Let b be (1/(-21)*-29)/((-1375)/(-16500)). Is o <= b? True Let b = 42803/4284 + -293/68. Let n = -1/63 + b. Are n and 6 equal? False Suppose 0 = -c - 5*x - 2 - 4, 0 = -4*c - 2*x - 6. Let f = -111 + 157. Let z = f - 48. Is c > z? True Let y = 0.475 - -20.625. Let u = 21 - y. Let h(p) = p**2 - 7*p - 6. Let a be h(7). Is a not equal to u? True Let u = -2.5 + 3. Let q = u - 0.7. Let z = 0 + q. Is z smaller than -1? False Let u = -33/10 - -49/30. Which is bigger: -1 or u? -1 Let z be (-5)/(-2 - (-2241)/1062). Is z >= -45? False Suppose -8*s - 27 = 1309. Let a = 168 + s. Which is greater: 7 or a? 7 Let j = -443/16164 - 10517089/14951700. Let q = j + 30/37. Which is smaller: 1 or q? q Let a = 5 - 5. Suppose a = -2*d - 0*d + 714. Let c = d - 4639/13. Are 0 and c equal? False Let p(m) = -7*m - 2. Let f be p(5). Let q = f + 37. Let o be 1 + (-34)/15 - -1. Do q and o have the same value? False Suppose -14 = 4*z - 2. Let t = -33 + z. Let n be (-22)/84 - 12/t. Does 0 = n? False Let t = -194 + 105. Which is smaller: t or -88? t Let a(z) = -3*z**3 + 22*z**2 + 12*z + 18. Let v be a(8). Which is greater: v or -17? v Let w be (2 + -6 + -4)*-40. Is 320 greater than w? False Let k(a) = -11*a**3 + a**2 - 31*a + 15. Let h(l) = -5*l**3 - 15*l + 8. Let y(c) = 13*h(c) - 6*k(c). Let g be y(7). Do g and 2 have different values? True Suppose 0*s + 4*s + 420 = -5*z, -4*s + 2*z = 392. Let c = s + 1102/11. Are c and 1 nonequal? True Suppose -26*l + 6*l = 40. Is l at least 3? False Let c = -123.6 + 124.9. Let l be 2/(-11) + (-20)/11. Let w be (0/l)/3 - 1. Which is smaller: c or w? w Let b = 0.4 + -0.27. Let r = b - -0.17. Let o = 12.9 + -12.7. Is o <= r? True Let m = 1618 + -427. Do m and -1 have different values? True Suppose 2*o - 1 = -69. Let m = o - -6. Is m at most -29? False Let c(a) = -a**2 + 8*a - 9. Let o be c(6). Let v = 1775 - 1774.6. Is v at least as big as o? False Let z be (-784)/(-48) - 4/3. Let b be (2 - z) + 2/1. Let m = -145/14 - -6/7. Which is smaller: b or m? b Let p be ((-1)/13)/(1 + -2). Let w(i) = i**2 - 2*i - 2. Let b = -35 - -34. Let v be w(b). Is v < p? False Let r be (1 - 1) + 15/297. Let t = -853/99 - r. Let j = 28/3 + t. Which is bigger: j or 6? 6 Let d be 5870/(-182) - 216/468 - (-8)/(-28). Suppose 4*k = 5*b - 382 + 22, 5*k + 437 = 3*b. Let f = k + 51. Which is smaller: f or d? f Suppose -5*k + 126 = -3*w - 187, 0 = -3*w - 4*k - 349. Which is greater: -332/3 or w? -332/3 Let g be (-452)/14 + (-2)/(-7). Let z be 14*(-23)/10 + (-232)/290. Is z greater than or equal to g? False Let i = -99 + 102. Suppose -4*u + 0*u = -i*r + 32, 3*r - 5*u = 34. Do 9 and r have the same value? False Let w be (-1210)/105 - (-6)/9. Which is smaller: w or -0.3? w Let a(c) = c**2 - 6*c + 3. Let x be a(6). Suppose 5 + x = -g. Suppose 15*i + 600 =
{ "pile_set_name": "DM Mathematics" }
12 a factor of (-870 - -38786)/(-6*(-4)/6)? False Suppose 2*d - 5*p = 12545, 4*d - 22*p = -21*p + 25063. Is d a multiple of 233? False Suppose 14*q = 8*q + 30. Let p = 12 - 7. Suppose 5*z - 27 = -q*b + 83, -22 = -z - p*b. Is 22 a factor of z? True Suppose 15*z - 9*z - 48924 = 0. Let b = z - 14119. Is 20 a factor of b/(-30) - 4/(-24)? False Let y be (-3)/(-2) + 27/18. Let c(o) = o**2 - 12*o + 27. Let t be c(9). Suppose -y*f + 42 - 9 = t. Does 2 divide f? False Let z(t) = 15*t**3 + 10*t**2 - 18*t + 12. Let u be z(5). Suppose 423 = -4*d + u. Is 58 a factor of d? True Suppose 16*c - 60232 - 45064 = 0. Is c a multiple of 119? False Suppose 0 = 4*d + 4*a - 372, -156 - 28 = -2*d - 4*a. Let q = d + -59. Let w = q + 6. Is 6 a factor of w? False Suppose -5*s - 5*f + 22117 = -3418, 4*f - 5086 = -s. Is s a multiple of 69? False Let c(m) = m**3 + m**2 + m - 217. Let u be c(0). Let n = u + 469. Is 21 a factor of n? True Let f be (-3132)/(-45)*5 + 6. Suppose 578 = 7*b + f. Does 32 divide b? True Is (63/5)/((-21)/((-45885)/23)) a multiple of 57? True Let j(d) = -6*d - 47. Let z be j(-9). Suppose -v = -z*f + 1198 + 1536, 0 = -4*f + 2*v + 1558. Is 20 a factor of f? False Suppose 0 = -46*d + 317407 + 28780 - 3349. Is d a multiple of 8? False Suppose -x = 5*z - 3678, z + 11114 = -37*x + 40*x. Is x a multiple of 31? False Suppose -z + 5768 = 4*f, -3*f - 3*z + 3811 = -524. Does 21 divide f? False Suppose 87*g + 251592 = 153*g. Is g a multiple of 12? False Suppose -x - 6 = -4*x. Suppose 3*h + 0*h - x*f - 67 = 0, 0 = 3*h + 5*f - 53. Suppose h - 86 = -5*z. Is 13 a factor of z? True Suppose 11822 = 2438*f - 2437*f. Is 27 a factor of f? False Suppose 80*r - 42982 - 56474 = -31*r. Is 32 a factor of r? True Let m(t) be the first derivative of t**4/4 + 4*t**3 - 6*t**2 - 22*t + 8. Let b be m(-12). Suppose -150 = -127*r + b*r. Is 10 a factor of r? True Let l = -317 - -1007. Is l a multiple of 7? False Let n = -5 - -11. Is (2735/10)/(3/n) a multiple of 20? False Suppose 2*c + 14 = -4*y + 6*y, 13 = -y - 3*c. Is 50 a factor of (y + 23)/(-3 + (-93)/(-30))? True Let i(p) = 2*p**3 + 34*p**2 + 26*p - 22. Let o = 421 + -436. Does 44 divide i(o)? False Let d be 4/(-6) - 19/((-57)/26). Does 7 divide ((-4811)/68)/((-2)/d)? False Is 37 a factor of 117/57 - 2 - 16397316/(-1938)? False Let m be ((-1)/(-3))/(5/(-20 - -5)). Let z be (0 - -1)*(-1 - m). Is 23 a factor of (-2 + (190 - z))*15/20? False Let h = -94 + 97. Suppose -u = h*k - 240 - 2, -20 = -4*u. Is k a multiple of 17? False Let p = 19 + -18. Let y be 12*10/15*p. Suppose -3*j + y*j - 219 = -2*r, 4*r = 2*j + 378. Is r a multiple of 18? False Suppose -3380 = -5*b + 4*l, -5*l = b - l - 700. Suppose -5*t - 5*i + 3385 = 0, 4*i = 3*t - b - 1372. Is t a multiple of 40? True Suppose 0 = -5*g - o + 44083, 2*g - 17635 = -161*o + 160*o. Does 38 divide g? True Suppose -20 = -4*n + 5*p, 2*p - 3*p = n - 14. Suppose 4*y = -8*b + 9*b - 463, n = -2*y. Does 38 divide b? False Suppose r = -2*r + p + 26, 4*r - 38 = 2*p. Suppose -2*b - 30 = -r*b. Does 25 divide 814/b + (-2)/(-6)? False Let t be 26/(-3)*((-5406)/4)/17. Suppose -t + 5709 = 20*l. Is 43 a factor of l? False Suppose 5*z + 4*t - 2*t - 4 = 0, -5*z - 4*t = -8. Suppose 0 = -5*s - z*s + 330. Suppose -5*o + s = -144. Is 21 a factor of o? True Suppose -38*w - 446 = -k - 35*w, -3*k + 1338 = 3*w. Let o = -404 + k. Is 5 a factor of o? False Let t = -101 + 95. Let d(l) be the third derivative of -l**6/60 - 2*l**5/15 + 5*l**4/24 + 11*l**3/6 + 28*l**2. Does 25 divide d(t)? True Let v be (18/28 + (-7)/49)*24. Let b be (8/6)/(5 - 52/v). Suppose b*u = -2*u + 68. Is u even? False Let o(x) = -5*x**2 + 45*x + 36. Let i be o(10). Let c be (-1)/4 - (-117)/4. Is 5 a factor of (c - 2) + i/7? True Let k be (5/1 + (3 - 1))*1. Let c be (-5 - (k + -5)) + 2. Does 43 divide 2/c - -12*(-218)/(-15)? False Let l(v) = -273*v + 7. Let f(w) = w**3 + 5*w**2 - 17. Let c be f(-4). Is 28 a factor of l(c)? True Suppose 1394 = -13*r - 10. Let u be 2 + (r - 2) + -1. Let h = u - -282. Is h a multiple of 25? False Suppose -222*p + 227*p - 33610 = -8265. Does 92 divide p? False Let d = 763 - -28. Let q = 1127 - d. Is 7 a factor of q? True Is 2 a factor of (-88450)/(-14) + (-1044)/1218? False Suppose -2*c - 253 + 2544 = -a, 2*c + 5*a = 2273. Is c a multiple of 19? False Does 107 divide 394/(-2167) + 593214/33? True Let h = -8298 - -17288. Does 29 divide h? True Let v = -22047 - -32793. Is v a multiple of 54? True Let f(q) = 3*q**2 + 3*q + 12. Suppose 0 = -15*o + 9*o + 54. Let h be (-2)/((2/(-3))/(7 - o)). Does 34 divide f(h)? True Suppose 78*u - 89*u + 47300 = 0. Suppose 10*p - 770 = u. Is 13 a factor of p? True Suppose -17*c + 20 = -13*c. Suppose -5*h + 4*h + 5 = c*o, -5*h + 141 = -4*o. Suppose h = -2*m + 75. Is 6 a factor of m? False Is (-8)/(-3 + -6 - -10) - -10563 a multiple of 76? False Let a = 3261 - 3013. Is a a multiple of 14? False Let j be ((-1)/3 - -1)*15. Suppose -3*c - 63 = -j*c. Suppose -c*i + 12*i + w = 856, 5*i + w = 1428. Is 18 a factor of i? False Let o(v) = 2119*v - 4904. Is o(16) a multiple of 10? True Suppose 5*u - 4*g + 40 = g, -5*u - 32 = -g. Is 17 a factor of (u/(-9))/((-4)/(-372))? False Suppose 728 = -3*m - 598. Suppose 3*h = -2*d - 909, d = -4*h + 2*d - 1223. Let a = h - m. Is 16 a factor of a? False Let b(y) be the second derivative of y**4 - 5*y**3/6 + 11*y**2 + 748*y. Suppose 4*s + 16 = 0, 4*i = -0*s - 4*s. Does 29 divide b(i)? False Let r be (-100)/(-36) + 2/9. Let j(p) = -53 + 112 + 21*p - 55. Is 7 a factor of j(r)? False Suppose -410*v + 2720 = -409*v. Is 4 a factor of v? True Let c(k) = -k**3 + k**2 - 3*k - 3. Suppose j = 9 - 12. Let m be c(j). Suppose -z + 16 = b - 2*b, -3*z + b = -m. Is 13 a factor of z? True Let x = -5159 + 7241. Does 10 divide x? False Let r(u) = -40*u**2 + 9*u - 22. Let p be r(2). Is (-1 + (-41)/(-2))/((-41)/p) a multiple of 4? False Let y = -103 + 3288. Is y a multiple of 51? False Suppose 101727 = 3*x - 5*g, -2*x + 87802 - 19983 = -3*g. Is 49 a factor of x? False Let z(f) = 6*f**2 + 3*f + 2. Let j be z(-1). Suppose 3*c - 82 = j*b + 120, 5*c + 46 = -b. Let t = b - -107. Is 9 a factor of t? False Suppose -77*l + 722709 = -114*l + 124*l. Is 13 a factor of l? True Let r(q) = 2*q - 9*q**2 + 3*q**2 - 18*q - q**3. Suppose -4*o + 4 = -8*o, 2*o + 12 = -2*k. Is r(k) a multiple of 15? False Suppose -2*i + 4 = 0, 5*u = -3*i + 2*i + 137. Suppose -u = -j + 19. Suppose 5*v = 99 + j. Is v a multiple of 28? False Let q = 27046 + -7681. Is q a multiple of 9? False Let f(p) = 15*p**2 + 74*p - 168. Does 12 divide f(-20)? False Suppose 5*y = -25, 0 = -3*w + 2*y + 3*y + 10. Let m = w - -173. Is m a multiple of 12? True Does 16 divide (-91425)/(-8) - 441/(-504)? False Let q(g) = 23*g**3 - 6*g**2 + 6*g + 5. Let o be q(5). Suppose 6*p - p - o = -5*c, 1658 = 3*p + 4*c. Is p a multiple of 22? True Suppose b + 12 = -1. Let t = 39 + b. Suppose -8*d + 282 = t. Is d a multiple of 12? False Let u = -10981 - -27203. Is u a multiple of 40? False Suppose 675*w = 665*w + 50. Suppose 0*l = -l + 35. Suppose -12*y + l = -w*y. Is 4 a factor of y? False Let t(s) = s**3 + 24*s**2 + 4*s - 47. Let q be t(-23). Let i = q + -326. Does 3 divide i? False Let p = 12 - 23. Is (-1)/(-4) - p/((-308)/(-5817)) a multiple of 9? False Let x(o) = -10*o + 5*o**2 + 5*o + 6*o + o - 8. Let y be x(-6). Suppose 0*r - y = -4*r. Is r a multiple of 10? True Suppose 0 = 3*i + 6 + 6. Let g be 413 - (2 - (4 + i)). Suppose -4*p + a = 18 - g, 4*p = 3*a + 395. Is 15 a factor of p? False Suppose 4*o - 30 = 2*l, 3*o - 5*l = -2*o + 50. Suppose -o*h - 6*i = -2*i - 6125, 4*h = 2*i + 4900. Is 86 a factor of h? False Suppose 5*z + 108 = -72. Let w be -568*(42/z - (-4)/6). Suppose w = -8*q + 12*q. Does 12 divide q? False Let r = -1904 - -18396. Is 4 a factor of r? True Suppose 4*h = -5*u + 23, 3*u - 5*h - 1 = -h. Let j(c) = -c + 2*c + u + 2*c - 4*c. Is j(-11) a multiple of 3? False Is 7 a factor of 4773 - (17/(-3) + 5)*(-36)/8? False Let p(k) = 2*k**2 + 29*k + 84. Let y be p(-13). Suppose 38*m = y*m - 2380. Is 41 a factor of m? False Let b(i) = i**3 + 10*i**2 + 5*i. Suppose 0 = -3*z - 12, z = 3*a - 14 - 5. Let k(m) = m**2 - 6*m - 4. Let p be k(a). Is 9 a factor of b(p)? True Suppose 3 = -5*y + 3*l + 35, 0 = 2*y - 2*l - 16. Suppose 5*k - 1662 = -x, 0*x
{ "pile_set_name": "DM Mathematics" }
of ((-136)/(-8) - 21)/((-276)/(-21) - (22 - 12))? -14/11 What is the value of (36 + (-157687)/4384)*-3776? -118 What is 4/3*(-48)/7808*-4? 2/61 ((-4432)/(-96) + -47)/40 -1/48 70/(-84)*((-6)/(-27) - (-164)/(-252)) 5/14 Calculate ((-592)/10)/(37937/6430) - -10. -2/59 Evaluate (1 + (-16)/22)/(20570/(-226270)). -3 Evaluate 1425/665*49*2/24. 35/4 Calculate (2317436/837)/44 - (-4)/54. 63 Evaluate 282/3290*(-15)/18 - 1284/56. -23 Evaluate 986/(-20706) - ((-11219)/(-2835) - 4). -2/405 Calculate (24300/653400)/((-18)/(-8)). 2/121 ((-93)/9*-1)/((-2581)/(-7743)) 31 Evaluate -1 + -24 - 10/(-35)*112. 7 What is the value of (-36)/255*6610/(-55524)? 2/119 583/(-132) - 15/60 - -2 -8/3 What is the value of 1/(7 + -10) + 6/(1008/70)? 1/12 What is (0 + 6)/((-16)/(-36) - 724/3258)? 27 What is (-3)/7 + ((-8)/(-20))/((-784)/(-3976))*1? 8/5 What is the value of 37 + (-51)/15 + -37? -17/5 Evaluate 8 - (-22 - 1140/(-84))*-1. -3/7 Calculate (310/(-4))/(75795/(-29340)). 30 Calculate (1407/(-14539))/(((6 + -2)/4 - 0) + -2). 3/31 What is the value of ((-12 - -11)/((-3)/9) - 9) + 10? 4 What is the value of (-41 + -1)/3 - 197/((-8274)/444)? -24/7 Evaluate ((4*8/(-14))/((-11410)/(-7987)))/(8/(-460)). 92 What is (-540316)/(-54096) + -1*(123/12 + 2/(-8))? -1/84 Evaluate (-3609380)/(-87850) + 2 + -43. 3/35 ((-8)/((-32)/(-20)))/((-19)/95) 25 Evaluate 16/((-63 - -32) + 3440/112). -56 What is the value of (-2)/((-2134)/142 - ((93 - 2) + -106))? 71 Calculate 5008/(-500) + (((-4557)/105)/(-31) - 215/(-25)). -2/125 What is the value of 0 - 14/2 - (3005 + -2999)? -13 Evaluate (((-21)/(-28))/(2/8))/(-1) - 48/(-60). -11/5 What is the value of 780/26 - 28 - 22/2 - (1 + -20)? 10 Evaluate (-58)/(-3*(-42)/(-35)*(-75)/(-135)). 29 Evaluate (((-1758)/1465 + (-74)/(-70))*3)/((-5)/210). 18 What is (-92554)/3857 - (-1310)/(-360905)? -24 Evaluate (-23)/(-644)*-220 + 9. 8/7 Calculate (-3)/(9/32*(-26 + -160*(-3)/18)). -16 ((-3)/2)/((-786255)/9116) 2/115 What is the value of ((-24640)/5775)/((-72)/(-30))? -16/9 What is the value of (-28)/(-22) + (-20325)/(-6600)*-16? -48 ((-4)/(-36))/((-20)/108*(-30)/650) 13 What is ((-2240)/3360)/((-64)/322 + 8/28)? -23/3 What is (-2 + 16)*(-44)/792*117? -91 Calculate (5560/20850)/(16/(-50)). -5/6 ((-325)/30)/(28197/(-260280)) 100 What is -6*(-102921)/4680 + (-3)/(-60)? 132 Calculate 24 - 36 - 256/(-22). -4/11 (4/(24/9))/((-45)/1590) -53 (0/1 + 162/10)*10/(-1200)*-100 27/2 Calculate (-8 - -2)/(414/(-5175)). 75 Evaluate 40/90 + ((-97)/212)/(420/32 + -12). 2/53 What is the value of 3/(-20) - (-599313)/(-1592580)? -10/19 What is the value of -5 + (-5*209/(-385) - 2) - -3? -9/7 What is the value of 5/((-160)/1152) + 10? -26 What is ((-103424)/2880 + 36)*72? 32/5 Evaluate (-5)/(100/54) - (-15510)/7050. -1/2 Calculate (12496/(-184) - -68)*-713. -62 Calculate (-47204 + 46918)*3*4/78. -44 What is the value of 63 + (-5 - -1669)/64? 89 Calculate (-16)/12 + 2360/1416. 1/3 Evaluate (245/(-735))/(6/36). -2 Evaluate 72 + 53 + -117 - 22/3. 2/3 What is 36/15 - (-24)/(-54)*(-126)/10? 8 Evaluate (479/(-4790))/(6 + (-3661)/610). 61 What is the value of -12 - ((-22)/(308/(-294)) + -27)? -6 What is ((-245518)/7007 + 35)*((-231)/18)/7? 1/14 What is ((-25)/15)/(-1)*55614/(-2990)? -31 What is the value of (416/(-338))/8 + 5 + 4 + 1330/195? 47/3 What is (182/(-42))/((-2)/6) + 1560/(-26)? -47 Calculate ((-1040)/2100 + (-8)/(-20))*195/(-10). 13/7 Calculate 11 + 7164/(-597)*(1 + (-13)/(-4)). -40 What is the value of 1/1*(11 + 95 + -31) + 19? 94 (-21)/105*(13792/432 - (550/(-135) - -4)) -32/5 ((-4437)/(-29) - -1) + -102 52 Calculate ((1980/(-385))/(-6 + (-135)/(-35)))/((-44)/(-10)). 6/11 What is (-63)/14*(-1344)/756 - 38? -30 Calculate (2/8)/(8/144*34/(544/(-156))). -6/13 What is (16/688 - 0) + (-96910)/(-2365)? 41 Calculate (5 - 23)/504 + (-66)/(-231). 1/4 Calculate 14 + (462704/(-17787) - (-140)/(-30)*(-18)/7). -2/147 What is the value of 3/2*(-140)/240*-16*(-2 - -1)? -14 What is the value of (-1320678)/(-37677) + 2/(-38)? 35 Evaluate (-4)/6*(11 + -77) + (-1)/((-18)/(-72)). 40 Calculate 33 + -58 + (-4532)/(-176). 3/4 (18/(-21))/(2/(-14)) + (2064250/2513)/(-115) -8/7 What is 43/(-4300)*(58 - 62)*2/((-8)/(-6))? 3/50 Evaluate (-1*(-6)/236)/((-3)/4*(125 - 126)). 2/59 What is (6/21)/(18 + (-23583)/1323)? 18/11 What is -2323*(-62)/(-1426) + 2/((-4)/(-26))? -88 Calculate (18/200)/((7 + (-1813)/296)*(-6)/(-14)). 6/25 Calculate (26 - ((-81)/(-5) + 524/655)) + (-29)/3. -2/3 What is the value of (26784/(-50220))/(16/(-6))*(535 + 0)? 107 Calculate 1950/(-10)*69/(-345). 39 What is 11 - ((-11)/(3256/(-4308)) + (-7)/2)? -2/37 What is (72/(-48))/(((-32)/80)/(36/585))? 3/13 Calculate (2/24)/((-32725)/2199120). -28/5 Calculate (8700/(-5))/116*20/36. -25/3 (-984)/(-72)*(-25 - -31) 82 What is the value of (-2037)/((-11058)/(-114)) - 28/2? -35 What is the value of 33*(60/(-21) - 27810/(-10395))? -6 5/(75/(-72))*(141300/18000 + (-51)/(-15)) -54 What is the value of (32/52)/(11288/102 + -112)? -6/13 Evaluate (2 + (-14)/8 - -1)*4232/(-17986). -5/17 Calculate (125/(-76))/(22/(-16)) + 934/(-8873). 12/11 What is -6*(-7)/84 - (58 + -61)/(14/11)? 20/7 (-4)/(-24) + ((-9)/81)/1*31158/36 -96 Calculate 47*(1 + -2) - (4416/69 + -64). -47 Calculate (43442/(-2898) - (1 - -1)) + 12 + -3 + 8. 2/207 Calculate (-12366)/(-1296) + (1560/192 - (6 - -2)). 29/3 Evaluate (-1173042)/(-26676) - 5/(-190). 44 What is the value of 132/(-30) - (-17)/(1700/(-60))? -5 What is the value of 180/24*4/15*285/456*2? 5/2 Calculate 46/((-46)/15) + 55/(4235/1134). -3/11 What is the value of (-29)/((-1160)/(-48))*14/126? -2/15 Evaluate 1*5*174/(-435) + (-130)/(-55). 4/11 What is the value of ((-20)/3)/((-17024)/(-912))*14/4? -5/4 Calculate (39/(-78))/(23*21/11592). -12 What is the value of 90480/50895*2/(-48)? -2/27 What is the value of 8/(-370)*(-7410)/(-11856)*8? -4/37 What is the value of (-462)/(-243600)*-19672 + 37 + 4/58? -6/25 What is 4/1*(-167 - -164)? -12 What is the value of -11*4 - (-7583 + 7519)? 20 What is (-5 + 11)*441/2058*(-7)/(-174)? 3/58 Calculate 42*24*(-1120)/23040. -49 Evaluate 84/(-15)*18/216. -7/15 What is the value of (-3920)/120 - 84/63? -34 What is 4/56*-2 + ((-1015442)/(-10934) - 3/(-11))? 93 Evaluate (-2056)/3598*7/2*-20. 40 Evaluate ((-526)/8416)/(4/(-24)*-9). -1/24 What is the value of 84455/(-83125) + 4/250? -1 (4934/(-290) + 17)/((-24)/40) 2/87 What is (-4896)/136*(195/12)/13? -45 Calculate (-100)/(-10) - (341/57 + 33 + -29). 1/57 What is 69 + -69 + (-39 - -58)? 19 Calculate 9 - ((-308)/1)/(595/(-35) - -13). -68 (((-1111)/(-44) - 26)/(-3))/((-19)/2432) -32 Evaluate (-3016160)/28254956 + (-2)/(-122)*-2. -6/43 (((-8)/(-16))/1)/2*(-672)/(-63) 8/3 48/36 - ((-49)/(-294))/(4 - (-3875)/(-970)) -31 What is the value of ((-30)/(-1) - (-13310)/(-440)) + (-2)/(-6)? 1/12 What is -30 - (1019 - -1799)*2/(-188)? -1/47 What is the value of ((-24)/(-286))/((-1941)/(-8411))? 4/11 Evaluate -9 + (-12672)/648 + 98/63. -27 Calculate (72/(-630))/((-384)/14400). 30/7 Calculate 1/(7139/550 - 0 - (18 + -5)). -50 Evaluate (-241800)/81120 - 4/208. -3 Calculate ((-8)/(-150))/(658/(-21) + 32). 2/25 -5*((-252)/3654 + 49/290) + 2*-7 -29/2 Evaluate -9 - 3 - ((-9)/(162/(-12)) + (-26)/39). -12 Calculate ((-56)/(-84))/(26/819) - 25. -4 What is (-150)/500 + (-504)/(-80)? 6 What is the value of (107 + -105)/((-16)/456)? -57 Evaluate (-5396)/4028*53 - (1 + 41). -113 (-47 - (-2750)/66)/(11/9 - (1 + 0)) -24 Calculate (-27)/306*(-60)/(-45). -2/17 What is the value of (798/19 - 31 - (-1 + -2)) + 3480/(-246)? -6/41 8 - 5/4 - (5 - (37 - 33)) 23/4 ((-156)/598)/((1 + -4)/(-9 - -78)) 6 What is the value of (872/576 - (-198)/528) + 4/4? 26/9 (141/6)/((24/84)/(40/70)) 47 Evaluate (-7292694)/(-2991585) - (-6)/(-159). 12/5 What is the value of ((-46)/((-690)/75))/(15/10)? 10/3 (-58)/667*-46 + 11 + 1*4 19 What is the value of 460/46 + 1498/(-75) - (-40)/4? 2/75 Evaluate ((-74)/(-444)*(-6)/14)/((-605)/1694). 1/5 (-986)/663*-13*(-1)/(-5*(-5)/75) -58 2/((663/65 - 9)*((-10836)/(-54) - 19)) 1/109 What is 34 + 40 + -14 - 3/((-12)/8)? 62 (6/8 - (570/360)/19)*(-3)/34 -1/17 What is 3/(-110)*29880/(-31374)? 2/77 Calculate ((-75)/21 - 3/9) + (232232/(-1421) - -163). -13/3 (5 - 4 - 4)/((-785)/475 - 23/(-437)) 15/8 What is the value of 3753/7506*1/4? 1/8 Calculate (-127040)/(-4880)
{ "pile_set_name": "DM Mathematics" }
((a**1*a)/a*a**(-1/6))/(a**0/(((a**(2/15)/a)/a*a)/a))) assuming a is positive. a**(-6059/30) Simplify (((y/(y/y**(1/5)*y)*y)/y)/(y/y**(2/11)))/((y*y*y/y**(-4)*y)/(y**(-5)*y))*((y**(1/3)*y)/y)/(y**(1/4)/y)*(y**(-1/2))**(12/5) assuming y is positive. y**(-1813/132) Simplify (q**(7/4)/q*((q*q**(-31)/q)/q)/q*q*(q/q**46)/(q/(q/(q**(-14)*q))*q))**(-3) assuming q is positive. q**(771/4) Simplify (n**(2/3))**(-7)/(n**(-1/2))**(5/9)*(n**(11/3)*n/(n/(n**(-13)*n)))**(2/9) assuming n is positive. n**(-337/54) Simplify ((u/(((u*u**(-2/3)/u)/u*u*u)/u)*u)/(((u*u**(2/5)*u*u)/u)/u))/(u**(-1/3))**(2/25)*(u*u**(2/3))**(-19/2)*(u**1*u)**(2/25) assuming u is positive. u**(-719/50) Simplify ((s/(s/s**5))/(s/s**(-1/4)))**41*s**(2/9)/(s**(-1)/s)*((s*s/s**1*s*s)/s)**(-29) assuming s is positive. s**(3527/36) Simplify ((s*(s*s/(s/s**(1/29))*s)/s*s*s**(-12))/((s**(-27)/s)/(s*s**5/s)))**(17/5) assuming s is positive. s**(11849/145) Simplify ((p/(p/(p*p*p**(-2))))**23)**(33/5)/((p/p**10)/(p**(1/2)*p))**19 assuming p is positive. p**(399/2) Simplify (i**8*(i*i**(-3/5)*i)/i*i*i*i*i/(i**2*i)*i**(-3/4)/i)/((i/(i/(i*i**(-2/11)))*i)**(-26))**(8/11) assuming i is positive. i**(101713/2420) Simplify j/j**(2/13)*j*j**(1/14)*(j*j*j**(-2))/j**(3/5)*(j**(-3)/j**(3/4))**(2/23) assuming j is positive. j**(10376/10465) Simplify (q*((q/(q*q**(-19)*q*q)*q*q)/q)/q*q*q**23*(q/q**(2/37))/(q*q/(q**(-19)*q)))**(-8) assuming q is positive. q**(-6792/37) Simplify (((z**1)**(-44)/(z*(z/z**(-1/2))/z)**36)**18)**(2/5) assuming z is positive. z**(-3528/5) Simplify (v/(v**(-4)/v))/v**(-1)*((v**(-2/5)/v)/v)**(-6/17)*((v**(-1)/v)/v)**(-3/2)/(v**(-6)/v**(1/9)) assuming v is positive. v**(28241/1530) Simplify ((b**(-2/5))**(1/54)*((b**1*b)/b)**(-34))/((b/(b*b/(b**(-2/11)*b)))/(b*b**7)*b**0/b**8) assuming b is positive. b**(-26471/1485) Simplify ((z**39*z*z*z**(-5))/(z/(z*z*z**(-2/87))*z)**(-21/2))**(-5) assuming z is positive. z**(-5255/29) Simplify (f**12*f**(-10)*f)**(2/13)/(f*(f**0*f*f)/f*f*f**7)**15 assuming f is positive. f**(-1944/13) Simplify (b**(11/3)/(b/(b**4*b))*(b**(-4))**46)**(-17/5) assuming b is positive. b**(8993/15) Simplify (y**(-2/3)*y**(-14))**(-1/6)/((y**(1/3)/y)**(8/7))**(-39) assuming y is positive. y**(-1718/63) Simplify ((w**(-3/2)*w)**(-27/5))**(3/16)/((w**0/w)**(-14/3)*(w*w*w**(-2)*w)**(-11/3)) assuming w is positive. w**(-79/160) Simplify ((o**(-1/2)/o)/o**(-3/11))**(-10)*((o*o**(1/2))/(o*o**(-1/5)/o))**(-34) assuming o is positive. o**(-2504/55) Simplify (((b*b**(-2))**28*b*b/(((b/(b/(((b**(-2)*b)/b)/b)))/b*b)/b*b)*b*b*b**(-9)*b*b)**(-12))**(-12) assuming b is positive. b**(-4032) Simplify (a**(1/15)/(a*a/(a*a**(-9)/a*a*a*a)))**(-11/3)/((a*a**(4/3)/a)/a*a*a**10*a)**15 assuming a is positive. a**(-7016/45) Simplify (((s/s**(1/5))**(4/5)/(s/((s**9*s)/s)*s**(-2/43)))**(5/2))**12 assuming s is positive. s**(56028/215) Simplify (i**(1/3))**(44/5)*(i**(2/3))**31*((i*i/i**(2/11))**32)**(3/10) assuming i is positive. i**(2258/55) Simplify (j**(-1/9)/j*j**(7/5))**48/((j**1*j)**18*(j**(-1/3))**12) assuming j is positive. j**(-272/15) Simplify ((m*m/(m/m**(5/6))*m*m**(-2/19)*(m*m*m**7/m*m)/m*(m/(m/(m**(-6)*m)))/m)**(-2/121))**(21/2) assuming m is positive. m**(-343/418) Simplify (b**21/((b**(-19)/b)/b)*((b/(((b**(-1/9)/b)/b)/b*b))/b)**24)**(3/23) assuming b is positive. b**(278/23) Simplify ((k**(-6)*k*k*((k**(-1)/k*k)/k)/k)/(k*k*k*k**(-5)*k*k*k/(k/k**(-3))))**(-2/179) assuming k is positive. k**(8/179) Simplify ((k*(k/(k**2*k))/k*k)/(k/k**7))**(-27/2)/((k**(-1)/k)**(-41)/(k**(-2))**(-2/57)) assuming k is positive. k**(-17035/114) Simplify ((g**(2/3))**(-2/153)/(g**5/g*g**(-3)*g))/((g**(-4/5)/g*g)/g*g**5*(g**(-1)*g)**(23/3)) assuming g is positive. g**(-11954/2295) Simplify (p**(2/97)/((p/p**(-7))/p*p*p)*(p/(((p*((p/p**(1/29))/p)/p)/p*p)/p)*p)**(-13/3))**(-2/23) assuming p is positive. p**(373490/194097) Simplify ((j**0/j**7)/(j**(-2/7))**21)/((j/j**(-2/9)*j)**(-4/15)*j**(1/6)*j**3) assuming j is positive. j**(-193/54) Simplify ((h**(-3/13)*h/(h**(-15)*h*h*h))/((h/(h**(-10)/h))/h)**(1/59))**10 assuming h is positive. h**(96510/767) Simplify ((n**(2/9)/n)/(n*n**(-4)))**18*(n*n**6*n*n**(-3/4)*n)**(-4/3) assuming n is positive. n**29 Simplify ((h**(-13)/h)/(h**(2/9)/h)*h*h**28*h*(h*(h*((h*(h*h/(h**(-8/11)/h))/h)/h)/h*h)/h)/h*h*h)**(-15) assuming h is positive. h**(-10645/33) Simplify ((((r/(r**(-2)/r)*r)/r)/r)**(-1/33))**(2/37)*((r**2*r)**8)**(8/7) assuming r is positive. r**(78130/2849) Simplify (((b/(b/((b/(b/(b/(b*(b*b**(1/3))/b))))/b)))**(-14/11)*(b/((b*b*b*b/(b/(b/b**14)))/b)*b)/(b*b**(-7)))**(-13/8))**33 assuming b is positive. b**(-8879/8) Simplify ((l/(l**5/l))/((l/(l/l**(-2/3)))/l*l)*(l/l**(1/12))/(l*l**6))/((l/l**(-2/3))**19*(l**(-2/7))**(2/99)) assuming l is positive. l**(-111095/2772) Simplify (r*r**(-1/11)*(r*(r*r**(-4))/r)/r*r**(1/5)*r**(7/3)/r)/((r/((r*r/(r*r**3*r*r))/r)*r**(-4))/(r/((r*r**1)/r))**(-39)) assuming r is positive. r**(-587/165) Simplify ((z/(((z*(z**(2/7)*z)/z)/z)/z)*z*z*z*z)**31)**(-2/15)/(z**2*z/(z**(-5)/z)*z*(z/z**(-2/7))**21) assuming z is positive. z**(-1273/21) Simplify (((((h**(7/3)*h)/h)/(h*h**5*h*h*h))/(h**(2/7)*h**(-6)/h))**(-25))**(-3/26) assuming h is positive. h**(25/182) Simplify (a**(1/6)*a**0/a)**(7/6)/(a**(-1/9)/a**(-2/7))**(6/7) assuming a is positive. a**(-1979/1764) Simplify (s**(-2/41))**(-2/65)*((s*s*((s**20*s)/s)/s*s)/s)/s**(5/3) assuming s is positive. s**(154582/7995) Simplify (((d**(1/62)*d)/d*d*d**(-34))/(d**21*d*d*d**(-42)))**(-25) assuming d is positive. d**(21675/62) Simplify ((l**(-5/7))**(1/53)*l**(-20)*l*((l**(6/17)/l)/l)/l*l)**(11/3) assuming l is positive. l**(-1433366/18921) Simplify ((z/((z*z**(-1/6)*z)/z)*z*z*z*z**(-1/3))/(z**6/(z*((z**5/z)/z)/z)))/(z**(-1/10)/z**(-1))**(-37) assuming z is positive. z**(497/15) Simplify t**25*t**(2/17)*(t/t**(-1/33)*t)**(2/77) assuming t is positive. t**(1087285/43197) Simplify ((a**(2/29))**(-2/131)/(a/(a*a**(-11))*a**(3/4)))**1 assuming a is positive. a**(-178569/15196) Simplify (h**37/h*h)/h*(h**42*h*h)/h*h**(-7)/(h*h**4) assuming h is positive. h**67 Simplify ((r**(-6)*r**0)/(r**(1/4)/((r/r**(-3/5))/r)))/(((r*r*r**3/r*r*r)/r)/r**(1/5))**(2/87) assuming r is positive. r**(-3341/580) Simplify (i*i/((i*i**(1/8)*i)/i*i)*i**(1/11))**(-8/3)*(i**(-2/17)/i*i**6*i)/(i/i**5*(i/(i/(i**5*i)))/i) assuming i is positive. i**(930/187) Simplify ((n*n**(2/21)/n)**(-2/25)/(n*n**(-13))**(-6))**(-37) assuming n is positive. n**(1398748/525) Simplify (((o**(-2/11)*o)/o**(-1/3)*((o*(o**(-2/5)*o)/o)/o)**(-46))**15)**(4/3) assuming o is positive. o**(12904/33) Simplify ((u/u**(-3/2))/u**(-1/2)*u/(u*(u**(-2/59)*u)/u)*u*u/(u*(u*u**(-17/2))/u))**(9/2) assuming u is positive. u**(13311/236) Simplify (u*u**(-1)/u*u)**(-2)/(u**(2/5))**0*(u/(u*(u/(u*(u/u**1)/u))/u))**(-1/35)*(u*u**(1/2)*u)**(-9) assuming u is positive. u**(-45/2) Simplify ((m/((m**(-3/8)*m)/m*m)*m*m)/(m/(m**9*m)*m))**19/((m**1/m*m)/(m**(3/4)/m)*(m*m**(-2/9)*m*m)**(-48)) assuming m is positive. m**(7901/24) Simplify ((c*c**(3/2)*c*c*c)**(-13/7))**12*((c**(-1)/c)/c)**(-1/22)*(c/(c**7/c))/c*c**(-3) assuming c is positive. c**(-20241/154) Simplify ((i**(1/4))**(25/3)*(i*i**(-1))**(-6/7))/((i**(2/9))**(-21/2))**16 assuming i is positive. i**(473/12) Simplify ((u**(-2/67))**(3/11)*u/(u*u/(u/u**(-12)))*u*u**(1/6))**44 assuming u is positive. u**(116374/201) Simplify ((h**(1/3)*h)**33/(h*h**6*h**(-1/6)))/((h/((h/(h/h**(1/7)))/h)*(h/h**(-3/4))/h)/(h*h*h*(h*h**(1/3))/h*h*h*h/(h**7/h)*h*h*h*h)) assuming h is positive. h**(1089/28) Simplify ((h**(-5)/(h/(h/h**1)))/((h/(h*h/(h*h**(-5/2))*h))/h**(-1)))/(h**3/h*(((h/(h*(h/(h*(h*h**7)/h))/h))/h)/h)/h*(h**(-1/4))**14) assuming h is positive. h**(-7) Simplify (h**1/h)**39/(((h**(2/3)/h)/h)/(h*h/(h**(3/5)*h)))*(h*h/h**0)**(-11)*((h/(h**(2/3)*h))/h)**(-48) assuming h is positive. h**(896/15) Simplify ((b/(b/b**(-1/9)))/b**(1/7)*(b*b*b**(-2/5))**(-4/3))/(b**(2/5)/(b**(-1/13)/b*b))**10 assuming b is positive. b**(-29306/4095) Simplify j**(2/11)/j**(2/21)*(j/j**4)/((j/((j**(2/21)/j)/j))/j)*((j*j**(-1/5))/j*j**(-1/12))/(j**(-2)*j)**(-19) assuming j is positive. j**(-15907/660) Simplify ((g**(-19)*g)/g**47*(g**(-2/23)*g)**(-26))**43 assuming g is positive. g**(-87763/23) Simplify (r**(1/4)/((r**(-2/11)/r)/r))**24/((r*r*
{ "pile_set_name": "DM Mathematics" }
**4/6 - 128*j**3/3 - 84*j**2 + 287*j. Determine y, given that l(y) = 0. -6, -1/2, 2, 7 Let s be (-16)/(-6)*(-24)/(-32). Let v(p) = 7*p**3 + 27*p**2 + 38*p + 20. Let c(u) = 15*u**3 + 55*u**2 + 75*u + 40. Let x(k) = s*c(k) - 5*v(k). Factor x(f). -5*(f + 1)*(f + 2)**2 Let u(i) be the first derivative of 0*i + 6/5*i**2 + 17 + 3/20*i**4 - 4/5*i**3. Solve u(x) = 0. 0, 2 Let b(l) = -2*l**2 - 18*l. Let t be b(-9). Factor 3/2*s + 3/4*s**3 + 9/4*s**2 + t. 3*s*(s + 1)*(s + 2)/4 Let b(t) = t**2 - 5*t + 21. Let v(j) = -j**2 + 4*j - 23. Let l(w) = 4*b(w) + 3*v(w). Factor l(u). (u - 5)*(u - 3) Let j(w) be the second derivative of -5*w**2 - 40*w + 25/12*w**4 + 0 + 5/6*w**3 + 1/2*w**5. Solve j(m) = 0 for m. -2, -1, 1/2 Let 16/11 + 14/11*d - 2/11*d**2 = 0. Calculate d. -1, 8 Factor 1/3*i**2 - 10/3*i - 11/3. (i - 11)*(i + 1)/3 Let g(v) = -13*v + 75. Let i be g(4). Suppose i = 5*l + 8. Factor -3 + 9/4*a**2 + 0*a - 3/4*a**l. -3*(a - 2)**2*(a + 1)/4 Let p be 8 - 100/(-12) - 15. Factor 1/3 - p*m + 5/3*m**2 - 2/3*m**3. -(m - 1)**2*(2*m - 1)/3 Let h = -77746/9 + 8644. Factor h + 2/9*s**2 - 20/9*s. 2*(s - 5)**2/9 Suppose 0 = -38*t - 0*t + 136 - 22. Let 1/4*g**5 - 1/4*g**2 + 7/4*g**t - 2*g - 1 + 5/4*g**4 = 0. What is g? -2, -1, 1 Suppose -b = 5*l - 80, 2*b - 4*l = b + 35. Factor -2 + 18*f**5 - 8 - 53*f**2 - 8*f**5 + 115*f**3 + 55*f - b*f**4 - 62*f**2. 5*(f - 2)*(f - 1)**3*(2*f - 1) Let h = 11/15 + -47/105. Suppose 6*u - 13*u + 28 = 0. Factor 2/7 + 0*l**2 - h*l**u + 4/7*l**3 - 4/7*l. -2*(l - 1)**3*(l + 1)/7 Suppose -592*j = -602*j + 30. Factor 1/2*s**4 - 1/2 - s**j + s + 0*s**2. (s - 1)**3*(s + 1)/2 Factor 17*y**2 + 36/5 + 4/5*y**4 - 168/5*y + 43/5*y**3. (y - 1)*(y + 6)**2*(4*y - 1)/5 Suppose 4*c = -u - 2 - 2, -3*c - 6 = 0. Let f be 192/88 - u/22. Factor 2*b**f - 3*b**3 + b**5 - 7 + 7. b**2*(b - 1)**2*(b + 2) Suppose f = -2 + 5. Suppose 0 = 199*l + 78 - 476. Factor -3*q + 1/4*q**l + q**4 + 1 + f*q**3. (q + 2)**2*(2*q - 1)**2/4 Let x(z) be the second derivative of -1/6*z**6 - 33*z + 0 + 0*z**4 - 1/4*z**5 + 0*z**3 + 0*z**2. Solve x(m) = 0. -1, 0 Factor 1462*k**2 + 1176/5 + 5872/5*k - 10*k**3. -2*(k - 147)*(5*k + 2)**2/5 Let f = -3819 + 3822. Factor 1/2*i**f + 0 + 1/2*i - i**2. i*(i - 1)**2/2 Let b(d) be the second derivative of -7*d**4/20 + 18*d**3/5 - 3*d**2/2 - 7*d. Factor b(o). -3*(o - 5)*(7*o - 1)/5 Let q(b) be the first derivative of -b**3/15 + 47*b**2/5 - 2209*b/5 - 57. Factor q(z). -(z - 47)**2/5 Let m(u) = u**3 + 8*u**2 + 7*u + 4. Let k be m(-7). Let x be (18*5/70)/(6/k). Factor 0*g - x*g**3 + 0 + 4/7*g**2 + 0*g**4 + 2/7*g**5. 2*g**2*(g - 1)**2*(g + 2)/7 Let u = 280 - 276. Let x(s) be the second derivative of -3*s - 3/2*s**u + 0*s**2 + 2/3*s**3 + 0. Let x(c) = 0. Calculate c. 0, 2/9 Let k(z) be the third derivative of -z**6/30 + 11*z**5/60 + 19*z**4/24 + 2*z**3/3 + 30*z**2 + 2. Factor k(c). -(c - 4)*(c + 1)*(4*c + 1) Solve 2/9*a**4 - 28/9*a**3 - 250/9 - 100/9*a + 40/3*a**2 = 0 for a. -1, 5 Let x(a) be the third derivative of a**8/112 + 2*a**7/35 - 3*a**6/40 - 9*a**5/10 - 10*a**2 + 4*a. Solve x(w) = 0. -3, 0, 2 Let z(m) be the third derivative of 2*m**7/105 - 7*m**6/30 + m**5/3 + 7*m**4/6 - 4*m**3 + 508*m**2. Suppose z(y) = 0. What is y? -1, 1, 6 Let f(m) be the second derivative of -m**4/60 - 2*m**3 - 90*m**2 + 45*m. Find q such that f(q) = 0. -30 Let p = -2728 - -2730. Let -1/6 + 1/12*z**p + 1/12*z = 0. Calculate z. -2, 1 Let r = -768 + 771. Let m(f) be the third derivative of 0*f + 1/8*f**r + 4*f**2 + 0 + 1/240*f**5 - 1/24*f**4. Suppose m(c) = 0. What is c? 1, 3 Let q = 3567/7126 + -2/3563. Determine x so that x**2 + 1/3*x**5 - 1/2 - 2/3*x**3 - q*x**4 + 1/3*x = 0. -1, 1, 3/2 Let t(i) = -2*i**2 - 6*i + 11. Let y be t(-4). Let x(m) = 35*m**3 - 115*m**2 + 30*m - 3. Let h(n) = -1. Let r(l) = y*h(l) - x(l). Factor r(c). -5*c*(c - 3)*(7*c - 2) Let s(p) = 2*p**2 - 5*p - 6. Let v be s(9). Factor 180*o**2 - 54 - 93*o**2 - 63*o - 3*o**3 - v*o**2. -3*(o + 2)*(o + 3)**2 Let g(v) be the first derivative of -4*v**5/45 - 4*v**4/9 + 28*v**3/27 + 20*v**2/9 - 69. Factor g(c). -4*c*(c - 2)*(c + 1)*(c + 5)/9 Factor 0*h**4 - 14*h**3 - 4055 - 3*h**4 - 19*h**2 - 4*h + 4059. -(h + 1)*(h + 2)**2*(3*h - 1) Let a(t) be the second derivative of t**4/12 + 2*t**3 - t + 79. Factor a(r). r*(r + 12) Let g = -32 - -44. Suppose -g*c + 16 = -32. Determine j, given that 0*j - 4/7*j**3 - 2/7*j**c - 2/7*j**2 + 0 = 0. -1, 0 Solve 0 - 1/3*c**2 + 1/3*c = 0. 0, 1 Let d be ((-42)/(-84))/(3/30). Let g(j) be the second derivative of 1/12*j**d + 0*j**2 + 0 - 5/6*j**4 + 4*j + 5/2*j**3. Factor g(k). 5*k*(k - 3)**2/3 Let n(d) = 3*d + d**2 + 3*d - 3*d. Let m be n(-4). Determine s so that -s + 3*s**2 - m*s**2 + 0*s = 0. -1, 0 Let t = -10 - -7. Let w(y) = 6*y**4 + 3*y**3 - 3*y + 3. Let j(o) = o**4 + o**3 + o**2 - o + 1. Let i(c) = t*j(c) + w(c). Suppose i(u) = 0. What is u? -1, 0, 1 Let x(w) = 26*w**2 - 78*w + 100. Let r(d) = 8*d**2 - 25*d + 33. Let h(y) = 10*r(y) - 3*x(y). Factor h(o). 2*(o - 5)*(o - 3) Let j(u) be the first derivative of -u**6/10 - 12*u**5/25 + 6*u**4/5 + 14*u**3/5 - 21*u**2/10 - 6*u + 85. Determine g, given that j(g) = 0. -5, -1, 1, 2 Let x = 17853 - 196351/11. Factor -2/11*m**4 - x*m**2 + 0*m + 0 - 16/11*m**3. -2*m**2*(m + 4)**2/11 Let j = -50 - -54. Suppose 0*n + 3*n - a = 15, j*a + 4 = -2*n. Solve 0 - 2/13*m**2 + 2/13*m**n - 2/13*m**5 + 0*m + 2/13*m**3 = 0 for m. -1, 0, 1 Let g(o) = -o**3 - 6*o**2 + 3*o + 8. Let u(h) = 3*h**2 + 1 + 3*h + 8 - 7*h**2 - 2*h**2. Let f(x) = 3*g(x) - 2*u(x). Factor f(r). -3*(r - 1)*(r + 1)*(r + 2) Let b be 2/(-7) - 74/(-14). Find o such that -o + 2*o**2 - 2*o - 3 - b - 3*o = 0. -1, 4 Let r(s) = 4*s**2 - 69*s - 3. Let f(x) = -x + 7. Let z(i) = 6*f(i) - 3*r(i). Factor z(k). -3*(k - 17)*(4*k + 1) Let g be 14 - (-11)/(-44)*40. Let p(q) be the third derivative of 1/120*q**5 + 5*q**2 + 1/4*q**3 - 1/240*q**6 + 0*q + 0 + 5/48*q**g. Factor p(a). -(a - 3)*(a + 1)**2/2 Let j(g) = -9*g - 1. Let v be j(-3). Suppose -10 = 4*o - v. Factor 136*s**2 + 102*s**4 + 420*s**3 + 31*s + 448*s**o - 15*s + 250*s**5. 2*s*(s + 1)*(5*s + 2)**3 Let q(w) be the third derivative of 2*w**7/735 + w**6/210 - w**5/35 - w**4/42 + 4*w**3/21 + 2*w**2 - 11*w. Factor q(k). 4*(k - 1)**2*(k + 1)*(k + 2)/7 Let p(i) = i**2 - i + 1. Let k(n) = 20*n**2 - 20*n - 8. Suppose 0 = z + 11 + 5. Let s(y) = z*p(y) + k(y). Factor s(l). 4*(l - 3)*(l + 2) Let a = 232/1185 + 1/237. Let o(l) be the first derivative of 0*l**3 + 1/10*l**4 + 5 - a*l**2 + 1/5*l - 1/25*l**5. Find f such that o(f) = 0. -1, 1 Let r(u) be the third derivative of -8*u**2 - 1/42*u**4 - 1/21*u**3 + 0*u + 0 - 1/210*u**5. Suppose r(k) = 0. What is k? -1 Let m(u) be the first derivative of -u**5/30 + u**4/3 - 7*u**2 - 4. Let s(j) be the second derivative of m(j). Factor s(f). -2*f*(f - 4) Let s(o) be the second derivative of -o**9/7560 + o**7/1260 + 5*o**4/12 + 3*o. Let a(u) be the third derivative of s(u). Factor a(m). -2*m**2*(m - 1)*(m + 1) Let k = 6913 - 6910. What is z in 2/9*z**4 + 4/9*z - 4/9*z**k + 0 - 2/9*z**2 = 0? -1, 0, 1, 2 Suppose 4*q = -5 + 17. Suppose 12 - 68*x**5 + 205*x + 263*x**q + 520*x**4 + 702*x**3 + 148*x**5 + 8 + 710*x**2 = 0. Calculate x. -4, -1, -1/4 Factor 240 - 72*s - 101*s**2 + 84 + 105*s**2. 4*(s - 9)**2 Let p(a) = a**2. Let j(y) = 4*y**3 - 8*y**2. Let w(n) = -2*j(n) - 10*p(n). Factor w(q). -2*q**2*(4*q - 3) Find n, given that 0 + 11/3*n - 35/6*n**2 + 7/3*n**3 - 1/6*n**4 = 0. 0, 1, 2, 11 Solve -10*c**4 - 45*c**2 - 35*c**3 + 219 - 25*c - 443 + 219 = 0. -1, -1/2 Suppose -9*w + 4*w = -40. Factor -5*l**2 - w*l - 500 + 21*l - 113*l. -5*(l + 10)**2 Let l(s) be the first derivative of s**6/40 + 3*s**5/80 - 3*s**4/16 - s**3/8 + 3*s**2/4 + 3*s - 12. Let t(b) be the first derivative of l(b). Factor t(y). 3*(y - 1)**2*(y + 1)*(y + 2)/4 Let a(n) be the second derivative of -n**6/20 + 9*n**5/20 - n**4 - 3*n**3/2 + 27*n**2/4 + 26*n - 2. Suppose a(z) = 0. What is z? -1, 1, 3 Let m(n) be the first derivative of n**3/2 - 69*n**2/4 + 63*n + 246. Find k, given that m(k) = 0. 2, 21 Let w = 35 + -17. Let q be (w/16)/(45/12 + -3). Factor 3*f - 3/2*f**2 - q. -3*(f - 1)**2/2 Let k = -164 - -251. Find a such that -3*a**2 + 89 - 272 + 87 + k + 12*a = 0. 1, 3 Let q = -4/197 + 454/2955. Let i(a) be the first derivative of 1/3*a**4 + 0*a**2 - 2/9*a**
{ "pile_set_name": "DM Mathematics" }
0*q**5. Find h such that l(h) = 0. -1, 0, 1 Suppose -4/11*v - 8/11*v**2 + 2/11*v**4 + 6/11 + 4/11*v**3 = 0. Calculate v. -3, -1, 1 Let p(s) be the second derivative of -s**7/168 + s**6/60 + s**5/40 - s**4/6 + 7*s**3/24 - s**2/4 - 2*s. Determine j, given that p(j) = 0. -2, 1 Let d(z) be the first derivative of -2*z**3/33 - z**2/11 + 12*z/11 - 13. Factor d(r). -2*(r - 2)*(r + 3)/11 Let 45*d - 36*d**2 + 22*d - 6*d**3 + 53*d + 3*d**4 - 96 = 0. What is d? -4, 2 Let m(c) be the second derivative of -c**6/10 + 33*c**5/20 - 5*c**4/2 + 27*c. Factor m(q). -3*q**2*(q - 10)*(q - 1) Let a(m) be the second derivative of m**4/4 - 3*m**2/2 + 2*m. Factor a(p). 3*(p - 1)*(p + 1) What is z in -4/5 - 1/5*z**3 + 0*z + 3/5*z**2 = 0? -1, 2 Suppose 2 - 10 = -s + 2*p, -2*s + 5*p = -19. Suppose w + 3*w = -4, -s = -v - w. Suppose g**2 - 2*g**4 - 3*g**4 + 6*g**4 - 2*g**v = 0. Calculate g. 0, 1 Let n(g) be the second derivative of g**9/10584 - g**7/2940 - g**3/6 - 3*g. Let q(y) be the second derivative of n(y). Let q(r) = 0. Calculate r. -1, 0, 1 Let s be (104/(-6))/(14/(-21)). Let a = 30 - s. Factor 0 - 7/3*j**3 + 5*j**a + 1/3*j**2 - 3*j**5 + 0*j. -j**2*(j - 1)*(3*j - 1)**2/3 Let g = -37236/11 + 3390. Let l = 400/77 - g. Find b, given that l*b**3 - 8/7*b**4 + 0 - 2/7*b + 8/7*b**2 = 0. -1, 0, 1/4, 1 Let b(f) be the second derivative of -f**7/10080 + f**4/6 + 3*f. Let w(p) be the third derivative of b(p). Factor w(q). -q**2/4 Let t(j) be the second derivative of -j**4/24 - 3*j. Factor t(l). -l**2/2 Let v(c) = c**3 + 8*c**2 - c - 1. Let i be v(-8). Let b = i - 1. Factor 4*d**2 - 5*d + b*d + d**3 + 3*d. d*(d + 2)**2 Factor 0 - 8/3*u + 28/3*u**2. 4*u*(7*u - 2)/3 Let l be -1 - (0 - 3)*3. Let u be l/(-14)*(-14)/4. Solve -4*g**3 + 2*g**5 - 2 - g**2 - 2*g**4 + 0 + 5*g**2 + u*g = 0 for g. -1, 1 Suppose 5*y - 5*k = -0*k + 45, 2*k = -4*y + 18. Suppose 0 = -4*j - 3*i + 27, -19 = 4*j - 5*i - y. Factor -l**j + 1 + 3*l - 2*l**3 + 3*l**2 + 4*l**3. (l + 1)**3 Let y = -10 - -10. Let c(w) be the second derivative of y - 1/3*w**3 - 2*w + 0*w**2 + 1/6*w**4 + 1/5*w**5. Factor c(g). 2*g*(g + 1)*(2*g - 1) Let t(s) be the second derivative of 243*s**7/14 + 81*s**6/5 - 621*s**5/20 - 239*s**4/6 - 18*s**3 - 4*s**2 - 8*s. Factor t(j). (j - 1)*(j + 1)*(9*j + 2)**3 Suppose 0 + 0*r**2 - 2/17*r**3 - 2/17*r**5 + 0*r + 4/17*r**4 = 0. Calculate r. 0, 1 Let j(r) be the second derivative of -r**6/1800 - r**5/150 - r**4/30 + r**3/2 + 4*r. Let t(c) be the second derivative of j(c). Factor t(q). -(q + 2)**2/5 Let a be ((-14)/6 + 1)*-3. Find o such that 8*o**3 - 2*o**a + o + 0*o**2 + 3*o**4 + 3*o**2 - 5*o**3 = 0. -1, 0 Let y(q) be the second derivative of -q**4/6 - 2*q**3/3 - q**2 - 10*q. Suppose y(z) = 0. Calculate z. -1 Let o(n) = -7*n**4 + 2*n**2. Let h(t) = 11*t**4 - 3*t**2. Let y(f) = 5*h(f) + 8*o(f). Solve y(z) = 0. -1, 0, 1 Factor -3*g**5 + 2 - 10*g + 3*g**4 - 14*g - 14 - 74*g**2 + 15*g**3 + 71*g**2. -3*(g - 2)**2*(g + 1)**3 Let o = -8 + 8. Suppose 5*a = 4*r - 0*r - 2, -3*r + 15 = 3*a. Factor 2/5*d - 4/5*d**r + 2/5*d**5 + 0 + 0*d**2 + o*d**4. 2*d*(d - 1)**2*(d + 1)**2/5 Let g(i) be the first derivative of 3 + 1/15*i**2 + 1/5*i**4 + 0*i + 1/45*i**6 + 8/45*i**3 + 8/75*i**5. Factor g(s). 2*s*(s + 1)**4/15 Let c be (-24)/(-27)*3/24*6. Factor -4/9*a - c*a**2 + 0 + 10/9*a**3. 2*a*(a - 1)*(5*a + 2)/9 Suppose 6*b - b - 20 = 0. Determine x so that x**5 + 0*x**3 + 4*x**5 + x**3 + 8*x**b - 2*x**2 = 0. -1, 0, 2/5 Suppose 3*t + 2 = 14. Determine z so that -1/2*z**3 + 1/2*z**5 + 1/2*z**t + 0*z + 0 - 1/2*z**2 = 0. -1, 0, 1 Let d(b) be the third derivative of -b**8/70560 + b**7/17640 + b**5/15 - 4*b**2. Let s(o) be the third derivative of d(o). Determine u, given that s(u) = 0. 0, 1 Let x(d) be the first derivative of d**4/16 - d**3/6 - d**2/8 + d/2 - 18. Factor x(r). (r - 2)*(r - 1)*(r + 1)/4 Suppose 0 = 4*g - 2*g - 3*k + 9, 10 = 2*k. Factor -l**4 + 11*l**3 - 9*l**3 - l**4 + 0*l**g. -2*l**3*(l - 1) Let s(h) be the second derivative of -5*h + 0 + 1/15*h**4 + 1/15*h**3 - 1/5*h**2. Factor s(b). 2*(b + 1)*(2*b - 1)/5 Let l(h) = 15*h**2 + 24*h - 3. Suppose -z - 2 = -3*z. Let d(m) = m**2 + m. Let v(n) = z*l(n) - 18*d(n). Factor v(i). -3*(i - 1)**2 Suppose 0*m - 2/5*m**2 + 2/5 = 0. Calculate m. -1, 1 Let 2/7*k - 2/7*k**3 - 2/7*k**2 + 2/7 = 0. What is k? -1, 1 Let j be 2/(-11) + 32/330*6. Factor -2/5*i**3 + 0 + j*i + 0*i**2. -2*i*(i - 1)*(i + 1)/5 Let r(u) be the first derivative of -4/7*u + 3 - 1/7*u**2 + 2/21*u**3. Factor r(s). 2*(s - 2)*(s + 1)/7 Let w = -2 - -3. Suppose -13 + w = -2*g. Factor 6 - g - 2*j + 4*j**3 - 2*j**2. 2*j*(j - 1)*(2*j + 1) Let o(f) be the second derivative of 3/10*f**5 + f**2 + 0 - 4*f - f**3 - 1/6*f**4. Factor o(z). 2*(z - 1)*(z + 1)*(3*z - 1) Suppose -u + 4*x = -9, -5*x = -x + 8. Solve -1/4*t**2 - t - u = 0. -2 Let p(f) = f - 1. Let l be p(1). Suppose g + 0*g - 3 = l. Suppose 0*h + 0 + 1/4*h**2 + 0*h**g - 1/4*h**4 = 0. Calculate h. -1, 0, 1 Let y be (-258)/(-20) + 3/6. Let o = y + -13. Factor -4/5*l**4 + 4/5*l**2 + 0 - o*l**5 + 0*l**3 + 2/5*l. -2*l*(l - 1)*(l + 1)**3/5 Let o(v) be the second derivative of -v**4/12 + 2*v**3/3 - 20*v. Factor o(j). -j*(j - 4) Let q = 67/126 + -2/63. Let z be -3*1 - (3 + -6). Factor 0 - 1/2*v**4 + z*v - q*v**3 + 0*v**2. -v**3*(v + 1)/2 Let -2*p**2 - p + 4*p + 0*p - 7*p = 0. Calculate p. -2, 0 Let b(d) be the second derivative of 3*d**5/20 + 2*d**4 + 13*d**3/2 + 9*d**2 + 2*d - 9. Factor b(j). 3*(j + 1)**2*(j + 6) What is v in 21/5*v**2 + 4/5 - 5*v**4 + 4*v**3 - 4*v = 0? -1, 2/5, 1 Let k be 5/(-165) + (-36)/(-99). What is r in 0 + 5/6*r**2 + k*r + 1/6*r**4 + 2/3*r**3 = 0? -2, -1, 0 Let d(u) be the second derivative of u**8/2880 + u**7/840 + u**6/1080 - u**4/6 - u. Let w(z) be the third derivative of d(z). Factor w(b). b*(b + 1)*(7*b + 2)/3 Let q be 2/(-3) + (-154)/(-33). Let u(c) be the second derivative of 0*c**3 - 1/60*c**q + 0*c**2 + 2*c + 0 + 1/100*c**5. Solve u(l) = 0. 0, 1 Let b(o) = o**2 + 2 + 0*o**2 - 3*o - 3*o**2. Let h(d) = 3*d - 4. Let w be h(3). Let m(q) = -3*q**2 - 5*q + 3. Let g(i) = w*b(i) - 3*m(i). Factor g(s). -(s - 1)*(s + 1) Let w(y) = 9*y**2 + 2*y. Let i(u) = 8*u**2 + 2*u. Let n(c) = 7*i(c) - 6*w(c). Factor n(g). 2*g*(g + 1) Let i(b) = b**3 + 16*b**2 - 16*b + 20. Let f be i(-17). Solve -2/5*r**4 + 0*r + 0 + 0*r**2 + 0*r**f = 0 for r. 0 Let y be (2/12)/((-38)/(-76)). Factor 1/3*t**2 - y*t + 0. t*(t - 1)/3 Let i(u) = -u**2 - 5*u + 3. Let a be i(-5). Factor -1/6*l**a + 1/2*l + 1/3 + 0*l**2. -(l - 2)*(l + 1)**2/6 Factor 0*a**2 + 0*a + 0 - 4/7*a**5 + 2/7*a**3 + 2/7*a**4. -2*a**3*(a - 1)*(2*a + 1)/7 Let a(v) = -2*v**3 + 10*v**2 - 6*v - 6. Let j(c) = c**3 - 9*c**2 + 5*c + 6. Let r(y) = -3*a(y) - 4*j(y). Determine o, given that r(o) = 0. -3, -1, 1 Let d(y) be the second derivative of -y**4/12 - y**3 + 7*y**2/2 + 9*y. Let m be d(-7). Let 0*t + 0*t**3 - 2/3*t**4 + 2/3*t**5 + m*t**2 + 0 = 0. What is t? 0, 1 Let r(b) = -5*b**3 + 6*b**2 + 12*b - 4. Let j(v) = -v**3 + v**2 + v - 1. Let f(x) = -12*j(x) + 3*r(x). Suppose f(p) = 0. Calculate p. -2, 0, 4 Let w(h) be the second derivative of -h**6/15 - 2*h**5/5 - 5*h**4/6 - 2*h**3/3 + 5*h. Let w(c) = 0. What is c? -2, -1, 0 Let b(l) be the first derivative of -3*l**2 + 1 - l**3 + 3/4*l**4 + 0*l. Factor b(k). 3*k*(k - 2)*(k + 1) Let k = 6 - 3. Suppose -2*g**k + 4*g**2 + 2 + 12*g - g**2 + 3*g**2 - 18*g = 0. Calculate g. 1 Let t(q) be the first derivative of -q**4/20 - 3*q**3/10 - 3*q**2/5 + 4*q - 2. Let j(k) be the first derivative of t(k). Suppose j(c) = 0. What is c? -2, -1 Let y(m) be the third derivative of 1/108*m**4 + 0 + 1/270*m**5 + 0*m - 1/27*m**3 - 1/540*m**6 + 2*m**2. Suppose y(z) = 0. Calculate z. -1, 1 Let k(u) be the third derivative of u**5/450 + u**4/90 + u**3/45 - 5*u**2. Find t such that k(t) = 0. -1 Factor -15*s**2 + 9*s**2 + 65*s + s**2. -5*s*(s - 13) Factor -4 - 4*u**2 - 6*u**2 + 0*u + 6*u + 8*u**2. -2*(u - 2)*(u - 1) Let z = 632559/15785 - 457/205. Let b = z - 388/11. Find a, given that -26/7*a**4 + 10/7*a**5 + 2/7*a**2 + b*a**3 - 4/7*a + 0 = 0. -2/5, 0, 1 Suppose 3*v = 4*v. Suppose -5*d + v = -2*y - 2, 4*d + 4*y = 24. Factor 7*m**3 - 4 + 0 - 3*m**2 + 3*m**4 - 7*m + 2*m**4 + d. (m - 1)*(m + 1)**2*(5*m + 2) Let n(g) be the second derivative of g**4/4 - g**3/2 + 9*g. Determine j so that n(j) = 0. 0,
{ "pile_set_name": "DM Mathematics" }
hest common divisor of 20 and 1529260. 20 Calculate the greatest common divisor of 335088 and 432. 144 Calculate the highest common factor of 37 and 2810. 1 Calculate the greatest common factor of 2349 and 81891. 81 What is the greatest common divisor of 675 and 4925? 25 What is the greatest common divisor of 65225 and 435? 5 What is the greatest common divisor of 413 and 37583? 413 Calculate the greatest common divisor of 78 and 669. 3 Calculate the greatest common factor of 196 and 127841. 49 Calculate the highest common divisor of 202 and 3217759. 101 What is the greatest common divisor of 12974 and 182? 26 Calculate the greatest common divisor of 605 and 1089. 121 Calculate the greatest common factor of 116484 and 374. 34 What is the greatest common factor of 140 and 131180? 140 Calculate the greatest common divisor of 272 and 106675. 17 Calculate the highest common factor of 27 and 27417. 3 Calculate the greatest common divisor of 9866710 and 70. 70 What is the greatest common divisor of 20 and 955445? 5 What is the greatest common divisor of 651 and 2226? 21 What is the highest common factor of 912 and 1006392? 456 Calculate the greatest common factor of 56 and 452240. 8 What is the greatest common divisor of 1236 and 372? 12 Calculate the highest common factor of 6 and 120510. 6 What is the greatest common factor of 11 and 10170248? 11 What is the highest common factor of 2552 and 682? 22 What is the highest common divisor of 3996 and 3404? 148 What is the greatest common factor of 9546 and 172? 86 What is the greatest common factor of 284 and 34506? 142 What is the greatest common factor of 28398 and 846? 6 What is the greatest common divisor of 616 and 3920? 56 Calculate the greatest common divisor of 1391 and 533. 13 What is the greatest common factor of 526848 and 16? 16 What is the highest common divisor of 24187 and 722? 361 What is the greatest common factor of 400 and 331825? 25 Calculate the greatest common factor of 2178086 and 166. 166 Calculate the highest common divisor of 5033353 and 39. 13 Calculate the highest common divisor of 142120 and 76. 76 What is the highest common factor of 130 and 98865? 65 Calculate the highest common factor of 78499 and 69. 23 Calculate the greatest common divisor of 110 and 549835. 55 What is the greatest common divisor of 177024 and 18048? 384 Calculate the greatest common factor of 9 and 12909. 3 What is the highest common factor of 330 and 241065? 165 What is the greatest common factor of 114478 and 1183? 91 What is the greatest common divisor of 3052 and 392? 28 What is the highest common divisor of 3258 and 207426? 1086 Calculate the highest common factor of 46890 and 1920. 30 What is the highest common divisor of 1610 and 34293? 161 What is the greatest common factor of 190548 and 1116? 36 Calculate the highest common divisor of 153 and 18887. 17 Calculate the greatest common divisor of 1534980 and 5. 5 Calculate the highest common divisor of 33 and 11799. 3 Calculate the highest common divisor of 45720 and 1080. 360 Calculate the greatest common factor of 918 and 19686. 102 Calculate the greatest common factor of 64960 and 2436. 812 Calculate the greatest common factor of 6900 and 149385. 345 What is the greatest common factor of 39 and 157703? 13 Calculate the highest common divisor of 66 and 80058. 66 What is the greatest common factor of 23422 and 60? 2 What is the greatest common factor of 1670867 and 11? 11 What is the greatest common factor of 225 and 10485? 45 Calculate the highest common factor of 2030 and 255. 5 What is the greatest common divisor of 38760 and 103512? 456 What is the greatest common divisor of 17860 and 10640? 380 Calculate the highest common factor of 224 and 2170. 14 What is the greatest common divisor of 10125 and 243? 81 What is the highest common divisor of 8000 and 50880? 320 Calculate the highest common factor of 201126 and 6. 6 Calculate the highest common factor of 9361 and 30613. 253 Calculate the highest common divisor of 7586068 and 28. 28 Calculate the greatest common divisor of 2639 and 210301. 91 What is the greatest common factor of 10 and 3015? 5 What is the highest common factor of 8025 and 399003? 321 What is the greatest common factor of 158530 and 3629? 191 Calculate the highest common divisor of 252 and 2240. 28 Calculate the greatest common divisor of 93 and 161913. 93 Calculate the highest common divisor of 56727 and 23166. 297 Calculate the greatest common factor of 2373 and 3729. 339 What is the highest common factor of 82710 and 210? 30 Calculate the greatest common factor of 25 and 9965. 5 Calculate the highest common divisor of 11352 and 8. 8 Calculate the highest common factor of 217924 and 34916. 1204 What is the highest common divisor of 18 and 1277394? 6 What is the highest common factor of 1455510 and 3480? 870 What is the greatest common factor of 3009 and 3953? 59 What is the greatest common factor of 8544 and 19758? 534 What is the greatest common factor of 125 and 37750? 125 What is the highest common divisor of 696987 and 774? 387 What is the highest common divisor of 50007 and 15? 3 Calculate the highest common divisor of 21051 and 180. 9 What is the greatest common factor of 17404 and 133? 19 Calculate the highest common divisor of 352 and 5830. 22 Calculate the greatest common factor of 8315 and 590. 5 Calculate the greatest common factor of 21877 and 1503. 167 Calculate the highest common factor of 2786481 and 45. 9 Calculate the highest common factor of 399 and 745458. 21 What is the greatest common divisor of 6119 and 2743? 211 What is the greatest common factor of 22600 and 1356? 452 Calculate the highest common factor of 1704 and 6106. 142 What is the greatest common divisor of 504 and 311031? 63 What is the highest common divisor of 208 and 26? 26 What is the greatest common divisor of 36696 and 999132? 1668 What is the greatest common divisor of 260542 and 17? 17 What is the highest common factor of 10624 and 415? 83 Calculate the greatest common factor of 175 and 235760. 35 What is the highest common factor of 144220 and 40? 20 Calculate the greatest common factor of 24235 and 524. 131 Calculate the greatest common divisor of 884 and 57137. 17 Calculate the highest common factor of 2688 and 16. 16 What is the highest common divisor of 7596 and 288? 36 What is the highest common divisor of 109875 and 1125? 375 Calculate the greatest common factor of 30160 and 9620. 260 Calculate the greatest common factor of 154704 and 144. 48 What is the greatest common divisor of 1124 and 88? 4 What is the highest common factor of 1411 and 4986474? 1411 What is the highest common factor of 34136 and 408? 136 Calculate the greatest common factor of 60 and 8940. 60 Calculate the highest common divisor of 5730 and 2448. 6 Calculate the greatest common factor of 17228 and 7. 1 What is the greatest common divisor of 11 and 44011? 11 Calculate the greatest common divisor of 22 and 216139. 11 What is the greatest common factor of 3232 and 15776? 32 Calculate the highest common divisor of 14641 and 1. 1 What is the highest common factor of 106 and 2806? 2 Calculate the greatest common divisor of 1125 and 50805. 45 Calculate the highest common factor of 6230 and 10947. 89 What is the highest common divisor of 145362 and 98? 14 Calculate the greatest common factor of 240 and 8180. 20 Calculate the highest common factor of 28832 and 3944. 136 What is the greatest common divisor of 61707 and 14070? 201 Calculate the highest common factor of 12341 and 87591. 301 What is the greatest common divisor of 406 and 10661? 7 What is the greatest common divisor of 11643 and 12? 3 What is the highest common divisor of 1271418 and 522? 174 What is the highest common divisor of 77 and 236291? 11 What is the greatest common factor of 84 and 1659294? 42 Calculate the highest common factor of 9219 and 525. 21 Calculate the highest common factor of 6 and 1026669. 3 What is the highest common factor of 299 and 8947? 23 Calculate the greatest common divisor of 2 and 1914. 2 Calculate the highest common factor of 17197 and 15167. 29 What is the highest common factor of 260120 and 35? 35 What is the highest common divisor of 99 and 404569? 11 What is the
{ "pile_set_name": "DM Mathematics" }
tive. k**(1920/203) Simplify ((((k**(2/9)*k)/k)**(-6/29)/(k**(-3/4)*k*k)**47)**(-27/2))**(1/34) assuming k is positive. k**(184149/7888) Simplify (((i/(i/(((i/i**(1/36))/i)/i*i)*i))/i**(8/3))/((i**(2/11)*i)/i)**(1/29))**(-2/3) assuming i is positive. i**(42499/17226) Simplify ((g**(-4))**(-19)*(g**(4/3))**(-19))**(-35) assuming g is positive. g**(-5320/3) Simplify (q/q**(-6)*q*q*q*q/q**0*q*q)/(q/(q/(q**(1/2)/q))*q**(-5))*(q**(2/11)/q*q*q/q**(-1/2))/(q*q**1*q)**(-13) assuming q is positive. q**(651/11) Simplify ((b*b**(1/13))/(b*(b**(-2)/b*b)/b))**(-1/3)/((b**1)**(-2/13))**(-38) assuming b is positive. b**(-268/39) Simplify p**5*p/(p*p**0*p)*p*p**(-3/7)*p**(-4/7)*(p**(-2/11)*p**(-3/2)*p)**36 assuming p is positive. p**(-226/11) Simplify (g**0)**(1/7)*g**(-25)*g/(((g*g*g/g**(1/51)*g)/g*g)/g) assuming g is positive. g**(-1376/51) Simplify (((j**(1/2)/j)**42*(j/(j/j**0))**(-49))**(1/6))**36 assuming j is positive. j**(-126) Simplify v*v**0*(v/(v/(v*v**(-3/7))))/v*(v/(v/(v/(v/(v*(v**(-2/27)*v)/v)))))/v**13 assuming v is positive. v**(-2174/189) Simplify ((i**(-2))**(-1/8))**(7/9)/((i/(i/(i*i**(-1/13)*i)*i))/((i**5/i)/i))**(-4/17) assuming i is positive. i**(-2341/7956) Simplify o**(6/11)/o*o**(2/5)*o*(o*o*o**7)/(o/o**(-4))*o*o**2*(((o*o**(2/21))/o)/o)/o*(((o/((o**(3/5)/o*o)/o*o))/o)/o)/(o*o**(2/5)) assuming o is positive. o**(3512/1155) Simplify (g**(-4)*g**(-18)*(g*g*(g**(1/9)*g)/g)**36)**(-6) assuming g is positive. g**(-324) Simplify ((t**(-2)*t)/((t/(t**(-35)/t))/t))/((t/((t/t**(14/11))/t*t))/t)**50 assuming t is positive. t**(-557/11) Simplify t**(-2/9)*t**(-7)*t*t**(6/5)*t/t**(-3/4)*t*t*t**(-1/2)*t*t**(-1)*(t**(2/3))**11 assuming t is positive. t**(1001/180) Simplify (a**(-1/8)*a**(-1/2)*(a*a*(a/(a*a**(-12)))/a)/(a*a*a/(a**(-2/13)*a)))**(-2/7) assuming a is positive. a**(-1063/364) Simplify (r**(-1/2))**(-8)*(r*(r*r**1)/r)**7*((r**(2/3))**(-34))**(-2/55) assuming r is positive. r**(3106/165) Simplify (m*m*m**(-1/18)/m*m)**(4/17)*(m**34)**(-3/10) assuming m is positive. m**(-7453/765) Simplify (((v*v/(((v*v**(-2/23)/v)/v*v)/v))/v**(-5/9))/(((v/(v*(v/(v/(v*v/v**10)))/v*v))/v)/v*((v/v**(-22)*v*v)/v)/v))**(2/91) assuming v is positive. v**(-10498/18837) Simplify (((a*a**(-4))/a)/a*((a*a/(a/a**17))/a)/a*(a**(2/13))**(-2/51))**33 assuming a is positive. a**(80179/221) Simplify ((q/(q*(q/(q*q**(-1/4)*q)*q)/q))**(-5/9)/(q**12*q*q*q/(q*q/q**7)))**(-19/5) assuming q is positive. q**(931/12) Simplify (i**(-24)*i*i)**(-40)*i*i/i**16*i**(-2/13)/i assuming i is positive. i**(11243/13) Simplify (j**(-3/5)/j)**(2/23)*(j*j**(3/37))**(-6) assuming j is positive. j**(-28192/4255) Simplify (i**(-1/3))**35*(i/(i*i**37/i*i))/i**22 assuming i is positive. i**(-212/3) Simplify ((l*(l/(l/l**9*l))/l*l**(-9))/(l*l*l/(l**(-4/3)/l)*l**(7/4)))/((l**(2/7))**(2/67)*(l*l**(2/3)*l)**(7/11)) assuming l is positive. l**(-606007/61908) Simplify (j*j/(j*((j**(2/13)*j)/j)/j)*j*j*j*j**(-4/9)*(j**(-28)*j)**(-24))**21 assuming j is positive. j**(534317/39) Simplify ((s**0*s)/s)**(-13/2)*(s/(s**(-2/3)*s))**(-23)*((s/((s*s**1/s)/s))/(s**(1/3)*s))/(s**(1/3)/s)**(2/99) assuming s is positive. s**(-4649/297) Simplify ((x/(x*(x**(-3/5)/x)/x*x*x*x))/(x*((x*x**(-4))/x)/x*x))**21*(x**(-1)/x)**(-36)/(x/(x*x*x**(-1/2))*x/((x*x**(-7))/x)) assuming x is positive. x**(1191/10) Simplify (b**4/b**(-2/7))**(-40)/((b**(-2/5)*b/b**0*b)/((b/(b**3/b*b))/((b*b**7*b)/b))) assuming b is positive. b**(-6406/35) Simplify ((k/(k**(-28)*k))/(k*k**28/k)*k**(-11)/(k/(k/k**(-1/12))))**(-8/5) assuming k is positive. k**(262/15) Simplify (((t**(5/4)/t**(-3/2))**(-2/11))**(-3))**(-47) assuming t is positive. t**(-141/2) Simplify (p/((p*p*p*p*p**(-36)/p*p*p*p)/p))**(-13)/((p*p*p**(-3/4)*p)/(p/(p/(p/(((p**(-2/167)/p)/p)/p)*p)))) assuming p is positive. p**(-276043/668) Simplify ((v**(-3)/v**(-6))/(v/(v**(-2/5)*v))**(7/6))/(((v*v**(-9/4))/v)/(v**(-12)/v))**(21/2) assuming v is positive. v**(-13241/120) Simplify ((u**(3/31)*u*u**(-15))/(u**(21/8)*u**(-1/8)))**(-2/3) assuming u is positive. u**(339/31) Simplify ((f**(-6/5)*f*f*f)/((f/((((f/(f*f**7/f*f))/f)/f)/f))/f))**(-24)*(f**(2/3))**26/(f**4/f**(1/2)) assuming f is positive. f**(6319/30) Simplify ((w*w/w**(-6/7)*w)**(4/17)*(w/((w*w**(-1/22)/w)/w*w))/w**(2/29))**(-50) assuming w is positive. w**(-3576025/37961) Simplify (i**(1/6)/(i**(-1/3)/i))**(-2/91)/(i/i**0*i**(-8)*i**(-3)*i**(-3/5)) assuming i is positive. i**(4808/455) Simplify ((j**24*j*j**(-1/18)/j)/((j*j/(j*j**(5/2)))/(j/j**4)))**(-14) assuming j is positive. j**(-2828/9) Simplify ((v**(-5)/v)/(v/v**(-6))*(v**(-1/4))**21)/((v**0)**32*(v*(v*v/(v*v*v*v/((v*v**(-1/2))/v*v)*v)*v)/v)/v**(2/7)) assuming v is positive. v**(-461/28) Simplify ((g*g**(2/15)*g)/g**(-1/7))/(g**3*g**(2/13)*g)*(g**(2/7))**(-25)*g*g/(g**(-7)/g*g)*g*g*((g*g**(-2/3)*g)/g)/g assuming g is positive. g**(256/195) Simplify ((a/a**(2/5))/a**6)**(-13/5)*((a**(-1))**(-13))**19 assuming a is positive. a**(6526/25) Simplify ((x**14*x**(4/9))**(9/2))**(-7/8) assuming x is positive. x**(-455/8) Simplify ((m*m**9)/(m/(m**(-5/6)/m*m*m)*m))**7*m**0/m*m**(-1/2)*(m/(m*m/m**(2/15)))/((m*m**3)/m) assuming m is positive. m**(259/5) Simplify ((i/i**(3/10))/(i/(i/(i/i**4)*i*i)*i*i))**5/((i**(-2/3))**(-7/10)/(i**(-3)/(i**(2/11)*i))) assuming i is positive. i**(4571/330) Simplify (c**1/(c**(6/5)/c))**(-21)*c**6/c**1*(((c*c*c/(c/(c**(-1)/c)))/c)/c)**(-15) assuming c is positive. c**(91/5) Simplify ((z**(1/11)*z)/(z*z/z**24)*z*z/((z/(z/((z**(-1/4)*z*z)/z*z))*z)/z)*z*z/z**(2/11)*z)**29 assuming z is positive. z**(33379/44) Simplify (((u**(-1/2)*u**(-3/4))/(((u*u**(1/2)*u*u*u*u)/u)/(u**(-2/7)*u*u*u)))**(-19))**(-1/4) assuming u is positive. u**(-1615/112) Simplify ((f**(-4)*f*f/(f/(f/(f**(-1)/f))))/(f/(f**(1/2)/f))**(27/2))/((f*f**(-8)/f*f*(f*f/f**5)/f)/(f**(-2/3))**(-2/41)) assuming f is positive. f**(-4535/492) Simplify ((u**(-15)/(u*u*u**5/u*u*u*u*u)*(u/u**(-1/2))**49)**(-1/6))**(4/3) assuming u is positive. u**(-97/9) Simplify (n*n**(-1/3)*n*n*n**(-3/8))**19/(n**(1/7)/n**8*n/n**(-4/5)*n*n/(((n*n/(n**2*n)*n*n)/n)/n*n)) assuming n is positive. n**(39983/840) Simplify ((l/l**(2/23))/l**(1/13)*(l*l**(-4)*l*l)/(l/(l/l**9)))/(((l*l**(-1/11))/l)/(l/(l**(-3)/l)*l))**19 assuming l is positive. l**(350487/3289) Simplify ((y/(y*y**(-2/7)))/(y**3/y))**22/(y*y*y*y*y**(-6)*y*y**(1/7))**39 assuming y is positive. y**(-30/7) Simplify (p**(2/5)*p*(p*p/(p*p/(p*p/p**(-3)*p))*p*p)/p)/(p**(1/3))**(-1/46)*(p*(p/p**5)/p)/(p/p**(1/6))*p**0*p**(-3/7) assuming p is positive. p**(2532/805) Simplify ((s**(-14)*(((s**13/s)/s)/s)/s*(s**15/s)/(s*s/(s/((s**(2/15)*s)/s*s))*s*s))**(-3/14))**(-7) assuming s is positive. s**(73/10) Simplify (((t*t*t/((t*t**1*t*t)/t))/t**(-5))/(t**0)**(-5))/(((t**1*t*t)/t)**(5/2)*t/t**(2/11)*t**(-1/5)*t) assuming t is positive. t**(-89/55) Simplify ((k/((((k**(2/5)*k)/k*k)/k*k)/k))**(1/26)/(k/k**(-5/6)*k**(-2/3)))/(((k*(k**2/k)/k)/k)/k**(1/5))**(-1/3) assuming k is positive. k**(-236/195) Simplify (s*s/s**33*s/(s*s**(2/3)))/(s/s**(2/7)*s**(8/3)) assuming s is positive. s**(-736/21) Simplify ((z**(1/4))**(4/5))**(4/3)*((z/((z*z**(3/4)*z)/z))/z**(-8))**26 assuming z is positive. z**(5663/30) Simplify ((x**(-4/7)*x)/(x/x**(-2/15)))**(-12)/(x*(x*(x/(x*x*x**(-1/5)*x))/x*x*x)/x*x/(x*x/(x/(x/(x**(-2/5)/x)))))**(2/27) assuming x is positive. x**(8146/945) Simplify ((y**12)**(-1)/(y**(-21))**(-28))**(-28) assuming y is positive. y**16800 Simplify (j**9*j*j*j**(1/5)*j)**(-9)/((j/j**(4/3)*j)/j**(-2/21))**(-3/2) assuming j is positive. j**(-3803/35) Simplify ((l**(-3/4)*l)**(-3/38)/((l/(l*(l**(-8/9)/l*l)/l*l))/l*l/((l*l*l*l**(-23))/l)))**(-2/89) assuming l is positive. l**(29971/60876) Simplify ((z**(1/4))**(-2/21)/((z**(2/13)/z)/z**1))/((z**(-1/6)*z*z/(z/(z/(z/z**(-5)))))/(z**0)**(-1/22)) assuming z is positive. z**(545/91) Simplify (((n*n**(-2/3)/n*n)/(n/((((n*n**(-7)/n)/n)/n)/n)*n))/((n**5/n)/(n**(-8)*n)))/((n**1)**(-1/11)*(n/n**(2/7)*n)**(-3/19)) assuming n is positive. n**(-97897/4389) Simplify (o**(-4)*o*o*o**0)**11/(((o**5*o*o)/o*o*o)**(6/13))**6 assuming o is positive. o**(-574/13) Simplify ((h*h/((h**(-34)/h)/h)*h*h*h*h*(h*h**(-2/11)/h)/h)**(5/16))**18 assuming h is positive. h**(20205/88) Simplify (q/(q*q**(1/2)))/(q**(-2/7)*q)*q**4*q**(-5)*(((q/(q*q*q*q*q**(-1))*q)/
{ "pile_set_name": "DM Mathematics" }
r of 144 and 10. 2 What is the greatest common divisor of 535 and 5671? 107 Calculate the highest common divisor of 1898 and 13. 13 Calculate the highest common factor of 88692 and 57. 57 Calculate the highest common divisor of 3576 and 24. 24 Calculate the highest common factor of 6844 and 232. 116 Calculate the greatest common factor of 60 and 440. 20 Calculate the highest common factor of 2100 and 1380. 60 What is the greatest common factor of 16 and 72? 8 What is the highest common divisor of 195 and 1014? 39 Calculate the greatest common divisor of 216 and 1512. 216 What is the greatest common factor of 92 and 20? 4 What is the highest common factor of 5523 and 21? 21 What is the greatest common factor of 24 and 2? 2 Calculate the highest common divisor of 76 and 16. 4 Calculate the greatest common factor of 210 and 1610. 70 Calculate the highest common factor of 242 and 44. 22 Calculate the highest common factor of 161 and 55223. 161 Calculate the greatest common divisor of 6 and 129. 3 Calculate the greatest common factor of 1166 and 22. 22 Calculate the greatest common factor of 11882 and 130. 26 Calculate the highest common factor of 2820 and 120. 60 Calculate the greatest common factor of 294 and 18. 6 Calculate the highest common factor of 4655 and 2205. 245 What is the highest common divisor of 114 and 988? 38 Calculate the greatest common divisor of 184 and 24. 8 What is the highest common factor of 3620 and 320? 20 What is the highest common factor of 6136 and 312? 104 Calculate the greatest common factor of 20 and 6660. 20 What is the highest common factor of 48680 and 40? 40 What is the greatest common divisor of 42370 and 76? 38 What is the highest common factor of 1275 and 1425? 75 Calculate the highest common factor of 100 and 2350. 50 Calculate the greatest common divisor of 28 and 2828. 28 Calculate the greatest common divisor of 20192 and 64. 32 What is the highest common factor of 270 and 390? 30 What is the highest common divisor of 20 and 80? 20 Calculate the greatest common divisor of 2197 and 39. 13 Calculate the highest common factor of 6 and 1458. 6 What is the greatest common divisor of 28 and 7? 7 Calculate the highest common factor of 10346 and 6. 2 Calculate the greatest common divisor of 3283 and 1474. 67 What is the greatest common divisor of 656 and 176? 16 Calculate the greatest common divisor of 73066 and 307. 307 Calculate the greatest common factor of 6943 and 131. 131 What is the greatest common divisor of 82 and 5207? 41 What is the highest common divisor of 175 and 14? 7 What is the greatest common divisor of 8 and 40? 8 Calculate the highest common divisor of 16 and 944. 16 What is the greatest common divisor of 75 and 120? 15 Calculate the highest common divisor of 80 and 28. 4 What is the highest common divisor of 40 and 92? 4 What is the highest common factor of 1023 and 33? 33 What is the highest common divisor of 50432 and 256? 256 What is the greatest common divisor of 1 and 7? 1 Calculate the highest common divisor of 665 and 2793. 133 What is the highest common factor of 80 and 1820? 20 Calculate the highest common divisor of 9991 and 388. 97 What is the greatest common factor of 72 and 480? 24 What is the greatest common factor of 1946 and 14? 14 What is the greatest common divisor of 1660 and 4? 4 Calculate the highest common divisor of 225 and 525. 75 Calculate the highest common divisor of 1919 and 404. 101 What is the highest common divisor of 3025 and 75? 25 What is the greatest common divisor of 261 and 36? 9 Calculate the highest common factor of 45132 and 12. 12 Calculate the highest common factor of 12 and 18. 6 What is the highest common divisor of 64 and 1168? 16 Calculate the greatest common factor of 975 and 78. 39 Calculate the greatest common factor of 12 and 48. 12 What is the highest common factor of 297 and 351? 27 What is the highest common factor of 4321 and 232? 29 What is the highest common divisor of 24 and 42? 6 What is the highest common divisor of 33 and 9273? 33 What is the highest common factor of 60 and 345? 15 What is the highest common factor of 4747 and 303? 101 Calculate the highest common factor of 42 and 105. 21 What is the greatest common factor of 240 and 96? 48 What is the greatest common factor of 4764 and 24? 12 What is the highest common divisor of 1080 and 80? 40 Calculate the greatest common factor of 70 and 364. 14 What is the highest common divisor of 61650 and 1350? 450 What is the greatest common divisor of 106 and 2? 2 Calculate the greatest common divisor of 276 and 10580. 92 Calculate the highest common factor of 472 and 64. 8 What is the greatest common factor of 657 and 36? 9 What is the greatest common factor of 24 and 1280? 8 What is the greatest common factor of 210 and 63? 21 What is the greatest common divisor of 159 and 3975? 159 What is the highest common divisor of 79 and 237? 79 Calculate the highest common factor of 1465 and 1172. 293 Calculate the highest common factor of 9 and 1608. 3 What is the highest common divisor of 2484 and 810? 54 What is the highest common divisor of 36 and 12? 12 Calculate the greatest common factor of 8 and 6152. 8 What is the greatest common divisor of 12 and 102? 6 What is the highest common factor of 2442 and 12? 6 Calculate the greatest common divisor of 5196 and 12. 12 Calculate the highest common divisor of 368 and 4508. 92 What is the greatest common divisor of 1377 and 54? 27 What is the highest common factor of 85 and 1680? 5 What is the greatest common divisor of 304 and 1968? 16 Calculate the greatest common factor of 4 and 13700. 4 What is the highest common factor of 3100 and 1800? 100 What is the greatest common factor of 420 and 110460? 420 Calculate the highest common divisor of 8827 and 194. 97 What is the highest common divisor of 1220 and 20? 20 What is the greatest common factor of 3 and 2481? 3 Calculate the highest common factor of 171 and 18639. 171 Calculate the highest common divisor of 64 and 11488. 32 What is the highest common divisor of 3696 and 16? 16 What is the highest common divisor of 224 and 48? 16 What is the greatest common divisor of 189 and 294? 21 What is the highest common divisor of 4641 and 13? 13 What is the highest common divisor of 912 and 6156? 228 Calculate the greatest common divisor of 12 and 324. 12 What is the greatest common factor of 288 and 2412? 36 Calculate the highest common divisor of 7 and 91. 7 What is the highest common divisor of 63 and 84? 21 What is the greatest common divisor of 62 and 155? 31 Calculate the greatest common factor of 16 and 7920. 16 What is the greatest common factor of 186 and 372? 186 Calculate the highest common divisor of 247 and 39. 13 What is the highest common factor of 3427 and 23? 23 What is the greatest common divisor of 7738 and 159? 53 What is the greatest common factor of 4980 and 50? 10 What is the greatest common factor of 1785 and 51? 51 Calculate the greatest common factor of 12 and 31446. 6 Calculate the highest common factor of 84 and 1944. 12 What is the highest common factor of 3526 and 82? 82 Calculate the highest common factor of 4450 and 356. 178 Calculate the greatest common factor of 95 and 304. 19 Calculate the highest common factor of 208 and 1118. 26 What is the highest common divisor of 715 and 2420? 55 Calculate the greatest common divisor of 3611 and 69. 23 Calculate the greatest common divisor of 1677 and 156. 39 Calculate the greatest common factor of 117 and 52. 13 Calculate the greatest common factor of 75 and 525. 75 What is the greatest common factor of 76 and 1292? 76 What is the greatest common factor of 1700 and 1? 1 Calculate the greatest common divisor of 20 and 305. 5 What is the greatest common divisor of 19 and 779? 19 Calculate the greatest common factor of 11 and 2959. 11 What is the highest common factor of 10 and 10660? 10 What is the greatest common factor of 192 and 168? 24 Calculate the greatest common divisor of 1450 and 638. 58 What is the greatest common factor of 137 and 23? 1 What is the greatest common divisor of 21 and 413? 7 Calculate the highest common factor of 40 and 1630. 10 What is the highest common divisor of 182 and 1547? 91 What is the greatest co
{ "pile_set_name": "DM Mathematics" }
ate the greatest common divisor of f and s. 6 Suppose -4*p - p - 5*k + 35 = 0, p = -2*k + 12. Suppose d - 83 = -3*z, 4*d + 0*z + p*z - 362 = 0. What is the greatest common divisor of d and 138? 46 Let u be (-2 - -5)/(-1 - -2). Let q be (42/10)/(6/450). Suppose 18*v - q - 279 = 0. Calculate the highest common factor of u and v. 3 Let v(q) = -39*q - 5. Let z be v(-5). Suppose -z + 54 = -2*f. Suppose 3*y - 47 - 4 = 0. What is the greatest common divisor of f and y? 17 Let n = 17 + -5. Let v(l) be the second derivative of 23*l**3/3 - 3*l**2 - 7*l. Let f be v(3). What is the greatest common divisor of n and f? 12 Let u(p) = -7*p**2 - 1 + 3*p**2 + p - 1. Let z be u(1). Let w be z*(0 - 66/15). Calculate the highest common factor of w and 55. 11 Let a = -83 + 91. Let r(n) = -2*n**3 + 11*n**2 - 4*n - 3. Let t be r(5). Calculate the highest common factor of a and t. 2 Let a = -965 + 1015. Let d(y) = 3*y - 2. Let u be d(9). What is the greatest common factor of u and a? 25 Let g(u) be the first derivative of -u**3/3 - u**2 - 2*u - 6. Let q be g(-2). Let d be q/3 + 120/45. Calculate the greatest common factor of d and 22. 2 Let z = 877 + -469. Calculate the highest common divisor of z and 51. 51 Suppose 4*i + 2*a = -7 + 19, -5*i - 15 = -5*a. Let r be (-6)/12*(i - 19). Suppose 0 = -4*c + r + 87. Calculate the greatest common divisor of c and 36. 12 Suppose 0 = 5*f - 2*o - 49 + 4, -f + 5*o + 32 = 0. Let g(i) = i**3 + 10*i**2 + 5*i - 15. Let c be g(-9). What is the greatest common divisor of c and f? 7 Let k(n) = 10*n + 12. Let m = 5 - -9. Let y be k(m). What is the highest common factor of 19 and y? 19 Let k be (-1 - ((-16)/(-6) + -3))*3. Let o be k*14/(-4) + -25 + 22. What is the greatest common divisor of o and 28? 4 Let k = -26 - -44. Let z = 42 - k. Let r(v) = v**2 - v + 6. Let i be r(-6). Calculate the greatest common factor of z and i. 24 Suppose -2*l + 5*b = -6*l + 83, -2*l + 41 = 3*b. Let r(s) = -38*s + 26. Let q be r(-11). Let y = q - 246. What is the greatest common divisor of y and l? 22 Let u(x) = 5*x - 2 + 6 - 1 - x**2. Let d be u(3). Let n = -183 - -264. Calculate the highest common divisor of d and n. 9 Suppose 4*o = 3*p - 14, -p - 8 = -0*p + 5*o. Let c be -23*(p - (-1 + 4)). What is the highest common factor of 253 and c? 23 Let u(m) = -m**2 + 7*m - 8. Let z = 14 + -11. Let i be u(z). What is the greatest common factor of 16 and i? 4 Let r(a) = -a**3 + 8*a**2 - 8*a + 18. Let l be r(7). Let v be (-1 - -1 - -1) + 5. Let x = l - v. Calculate the highest common factor of 15 and x. 5 Let u be 2/5 - (-516)/(-15). Let n = u + 35. Suppose 5*d = 16 + 9. Calculate the highest common divisor of d and n. 1 Suppose -2 = -6*n + 16. Let r be (-126)/n*(-1)/3. Suppose -4*x + 1 = -7. Calculate the greatest common divisor of r and x. 2 Let c = 223 - 188. Calculate the highest common factor of c and 10. 5 Let i = 612 - 292. Calculate the greatest common divisor of i and 240. 80 Let t(h) = h**3 + 7*h**2 + 2*h - 6. Let w be t(-6). Suppose 3*a = -2*a + 15. Suppose a*o + 45 - 126 = 0. Calculate the greatest common factor of w and o. 9 Let m = 134 - 54. Suppose -2*w = -3*w + m. What is the highest common divisor of w and 10? 10 Let f(b) = 3*b**2 - 36*b + 28. Let l be f(12). What is the highest common divisor of 76 and l? 4 Let h(a) = a**2 + a. Let f be h(-5). Let p = 50 - f. Let c = -74 - -104. Calculate the greatest common factor of c and p. 30 Let a = 71 + -69. Suppose -31 = -a*h - y, 0*h - y = 5*h - 70. Suppose -4*o - 3*d + 65 = 4, 3*d - 9 = 0. What is the highest common divisor of h and o? 13 Let g(l) = l + 1. Let z be g(-4). Let c be ((-2)/6)/((-1)/z) + 11. What is the greatest common factor of 50 and c? 10 Let l(g) = -4*g + 9*g - 39 + 32. Let d be l(5). What is the greatest common divisor of d and 12? 6 Let r = -8 + 8. Suppose 3*t - 11 - 1 = r. What is the highest common factor of t and 3? 1 Let i = 1702 - 1700. Let m = -4 + 10. What is the highest common divisor of i and m? 2 Let q = 129 - 111. What is the highest common divisor of q and 36? 18 Let z = -48 + 88. Let y = -34 + z. What is the highest common factor of y and 9? 3 Let y = -3160 + 3189. Let f(r) = 4*r**2 + 4*r + 8. Suppose -5*o = -3*o - 14. Let x be f(o). What is the greatest common divisor of y and x? 29 Let y be 2/(-10) - (-6)/5. Let o(k) = 76*k**3 + 2*k**2 - 2*k + 1. Let v be o(y). Suppose 2*z - v = z. What is the highest common divisor of 11 and z? 11 Suppose 1200 = 3*j - 19*j. Let m = j + 160. Suppose -136 = -6*p + 2*p. What is the highest common divisor of m and p? 17 Suppose 0 = -4*w + 16, -2*m = -m + 2*w - 512. Let f be -1 + m/35 + 3/5. Calculate the highest common divisor of 21 and f. 7 Let p = -31 + 63. Let d be 4/(-5) + 1764/105. Calculate the highest common divisor of d and p. 16 Suppose 2*f + 3*f = -z - 5, -2*f = 3*z - 24. Let m = -85 - -297. Let b = -122 + m. What is the highest common divisor of b and z? 10 Let v = 297 + -147. What is the highest common divisor of v and 30? 30 Let v = -83 - -28. Let h = -27 - v. What is the greatest common divisor of 70 and h? 14 Suppose -12*q + 6*q = -12. Suppose 4*b - 51 = q*b + 5*v, -5*v + 61 = 2*b. Suppose x - 17 = -3. Calculate the greatest common factor of x and b. 14 Let y(f) = -115*f + 265. Let m be y(-13). Calculate the highest common factor of m and 80. 80 Suppose 164 = -5*g + 219. Let c(j) = -21*j + 1. Let u be c(-1). What is the highest common divisor of u and g? 11 Let f(l) = l**2 + 6*l - 2. Let a be f(-6). Let d(i) = -7*i**3 + 2*i + 3. Let z be d(a). Let s = -16 + 27. What is the highest common factor of s and z? 11 Suppose 0 = -91*b - 327 + 1965. What is the highest common divisor of 3960 and b? 18 Let k(y) = -2*y. Let b be k(-4). Let f = -8 + b. Suppose r + 2*m = 7 + 38, -2*r + m + 90 = f. What is the greatest common factor of r and 9? 9 Suppose -2*g - 18 = 5*u, 5*u + 16 = g - 5. Suppose x + g + 8 = 0. Let f = x + 19. Calculate the greatest common factor of f and 70. 10 Suppose 396 = 55*m + 44*m. Let d = 1 - 0. What is the highest common divisor of m and d? 1 Let p be 1*12 - 12/3. Suppose 22 - 82 = -5*d. Let f(k) = -k + 28. Let j be f(d). What is the highest common factor of p and j? 8 Let t(i) = i**2 + 459*i + 6676. Let y be t(-15). Let n = 10 + 2. Calculate the highest common divisor of n and y. 4 Suppose -2*p + 5*l = -p - 15, -35 = 5*p - 3*l. Let t = -5 - p. Suppose 0 = t*c - 125. Calculate the greatest common factor of 10 and c. 5 Suppose 78 + 82 = 10*r. Suppose -7*j + 10*j + 21 = 0. Let a(b) = -b**3 - 7*b**2 + 4. Let h be a(j). Calculate the greatest common divisor of r and h. 4 Let a(r) be the first derivative of -r**4/4 + 11*r**3/3 - 9*r**2/2 + r - 6. Let m be a(10). Let g = 13 + m. What is the highest common divisor of g and 60? 12 Suppose -2*u + 54 = u. Let o = 0 + 2. Suppose 3*m + 3 = 0, 19 = 4*b - o*m - 19. Calculate the highest common divisor of u and b. 9 Suppose 5*j - 166 = -61. Let d be (-4)/14 + 1341/63. Calculate the highest common divisor of d and j. 21 Suppose -185 = -6*u - 179. What is the greatest common factor of 3 and u? 1 Let j(g) = -347*g - 288. Let i be j(-4). What is the greatest common factor of 75 and i? 25 Let z(k) = k**2 - 4*k - 12. Let x be z(6). Suppose -5*c + x = 4*p - 3, p = 3*c + 22. Calculate the highest common factor of p and 56. 7 Suppose -4*c + 8 + 564 = 0. Let t(h) = -2*h**2 + 3*h + h**3 + 0*h**2 - 2 - 3*h**2. Let k be t(5). Calculate the greatest common divisor of c and k. 13 Let s be (-1)/2*(-2 + -6). Let l be (30/8 + -3)*s. Suppose l*o - 24 = -o. What is the greatest common factor of 30 and o? 6 Let z(b) = 2*b**2 - 7*b. Let t be z(6). Let i be (-3)/4 + (-7)/28. Let d = 9 - i. Calculate the highest common factor of d and t. 10 Let l = -251 - -146. Let c = l - -141. Calculate the highest common factor of 4 and c. 4 Suppose -76 = -15*v - 23*v. Let h(k) = k - 3. Let z be h(5). Calculate the greatest common divisor of v and z. 2 Suppose -5*u = -0*n + 2*n + 125, -n = -2*u - 59. Let r = 49 + u. What is the highest common factor of 110 and r? 22 Suppose -5*z - 4*u + 353 = -8*u, -2*u = -z + 67. Suppose -w = 4*h - z, -h + 39 = h + 3*w. What is the highest common factor of 30 and h? 6 Suppose 3*y - l - 553 = l, -5*y + l + 931 = 0. Let w(u) = -u**3 - 3*u**2 + 17. Let i be w(0). What is the greatest
{ "pile_set_name": "DM Mathematics" }
factor of 225 and c? 9 Suppose 4*r - 72 = 520. Suppose -5*v = -132 - r. Let k(g) = -g**3 - 11*g**2 - 19*g - 1. Let l be k(-9). What is the highest common divisor of l and v? 8 Suppose 128 = 3*q + 2*p, -4*q + 5*q = 4*p + 24. Suppose 120 = 15*a - 9*a. What is the greatest common divisor of a and q? 20 Suppose 0 = 5*u + 5*s - 260, 4*u - 2*s - 143 = 41. Suppose 4*o - 115 = -2*p + 141, 2*o + 472 = 4*p. Calculate the greatest common factor of u and p. 24 Let n be (-3 - -2)/((9/152)/(-9)). What is the greatest common divisor of n and 456? 152 Let v(m) = 2*m**2 - 14*m - 12. Let d be v(9). Calculate the greatest common factor of 84 and d. 12 Suppose -6*b + 92 = -394. Calculate the greatest common divisor of 225 and b. 9 Suppose 56 = 5*i - i. Let d = 10 + -9. Let a be d/(-2 - -3) + 41. Calculate the greatest common factor of a and i. 14 Let j be (-4)/(3/1 + 28/(-7)). Calculate the highest common divisor of 12 and j. 4 Let v = 617 - 383. Let t be 52/(-3)*(-33)/22. Calculate the highest common divisor of v and t. 26 Let y = -32 - -15. Let m = 30 + -9. Let z = y + m. What is the highest common factor of z and 44? 4 Let z = 21 - -205. Let d be (-1 + (-169)/4)*-4. Suppose -z = -3*u + d. What is the highest common factor of 19 and u? 19 Let l = -535 + 556. Calculate the highest common divisor of l and 301. 7 Suppose -68 = -2*g - 5*h + 3, -5*g + 4*h = -95. Suppose 16419 - 3769 = 50*j. What is the greatest common divisor of j and g? 23 Let w be (-650)/(-15)*78/4. What is the greatest common divisor of w and 130? 65 Suppose b + 13 = 5*v, -2*b - 3 = 2*v - 1. Let q be v - (-5 - 0) - -2. Let x = 61 - 25. Calculate the greatest common factor of x and q. 9 Let k(v) = -3*v - 9. Let w be k(-7). Let z(b) = -2*b**2 + 11*b - 5. Let i be z(5). Suppose n - w = -i. Calculate the greatest common divisor of n and 132. 12 Suppose -21 = -5*n + 2*t, -n - n + t = -9. Let i(y) = -y**2 + 3*y + 9. Let v be i(n). Calculate the highest common divisor of v and 81. 9 Let p(d) = -d**3 - 7 - 3*d + 2*d + 20*d**2 - 30*d**2. Let m be p(-10). Suppose 255 = m*r + 2*r. Calculate the highest common divisor of r and 17. 17 Let f be ((-6)/(-5))/((-16)/120*-3). Calculate the highest common factor of 20 and f. 1 Suppose -3*u + 142 = 3*r - u, 5*r - 4*u - 266 = 0. Let q be (4 - 3)*(3 - 3). Suppose q = -p + r + 54. What is the highest common divisor of 13 and p? 13 Suppose 3*v + 2*v = 25. Suppose -v*q + 669 = 64. Suppose -284 = -5*l + 3*x + 307, 0 = l - 2*x - q. What is the greatest common divisor of 13 and l? 13 Suppose 5*f = -25, 11*r - 545 = 6*r + 3*f. What is the highest common factor of r and 53? 53 Let y be 25/(-5)*-4 - (-2 + -2). Let a = -28 + 34. Calculate the highest common factor of a and y. 6 Let k be (-2 - (3 - 3))/(1/(-2)). Suppose -a + k*a + 4*t - 24 = 0, -3 = -3*a + 3*t. Calculate the highest common divisor of a and 20. 4 Let x = -906 + 931. Suppose -2*w = 2*y - 442, -3*y - 2 - 10 = 0. What is the highest common factor of w and x? 25 Let d be (1 - -7)/((-4)/(-22)). Let k be 5 - (-17*1)/(11 + -12). Let n = d + k. What is the highest common factor of n and 8? 8 Suppose b - 146 = -0*q - q, 2*q - 284 = 2*b. Calculate the highest common factor of q and 54. 18 Suppose v - 17 = -4*p - 0, 3*p + 56 = 2*v. Let y = v - 20. Suppose 120 = -t + y*t. Calculate the highest common factor of 150 and t. 30 Suppose 7*o - 3973 = 2*o + 4*s, -2*s = 4. Calculate the greatest common factor of 13 and o. 13 Let p(r) = 6*r - 6. Let x(l) = l + 17. Let z be x(-13). Let i be p(z). What is the highest common factor of i and 144? 18 Suppose 0 = 32*x - 3*x - 92800. Calculate the greatest common divisor of x and 128. 128 Let w(j) = -j**2 + 44*j - 93. Let h be w(41). What is the highest common divisor of 260 and h? 10 Let u(w) = -12*w**3 + 3*w**2 + 6*w + 3. Let l be u(-2). Let m = l + -97. Calculate the highest common factor of m and 46. 2 Suppose 5*p + 35 = 285. Suppose 4*u - 2*k - p = 0, 3*u - 2*k = -k + 40. Calculate the highest common factor of 10 and u. 5 Suppose -4*m = 0, -6*c + 3*m + 195 = -c. Suppose -3*k - 12 = -5*s, 3 = k + s + 7. Let q be (-4 + 30)/(k + 5). Calculate the greatest common factor of c and q. 13 Let q(s) be the first derivative of -s**4/4 + 17*s**3/3 + 10*s**2 - 34*s + 21. Let b be q(18). Calculate the greatest common factor of b and 3. 1 Suppose 585*s = 588*s - 1053. Calculate the greatest common factor of s and 13. 13 Suppose t = w - 1382, 9*t + 2761 = 2*w + 6*t. What is the greatest common factor of w and 5? 5 Let v be (-8190)/(-624) + 2/(-16). What is the greatest common divisor of 91 and v? 13 Let i = 4 + -10. Let v(k) = k**3 + 5*k**2 - 5*k + 8. Let u be v(i). Let z be 24/((-23)/(-10) - u). Calculate the greatest common divisor of z and 10. 10 Let f(r) = 5*r - 7. Let s be f(5). Suppose v - 5*v = -2*o + 316, -v + 812 = 5*o. What is the highest common factor of o and s? 18 Let s be (4/6)/1*(-360)/(-2). Suppose s + 130 = 5*x. What is the greatest common factor of 20 and x? 10 Let m be (-1)/(4 + (-36)/8). Suppose 11*i = 4*i + 112. What is the highest common divisor of m and i? 2 Suppose 0 = 21*b - 35 - 91. Calculate the highest common divisor of 105 and b. 3 Suppose -q - 420 = -5*p, 27*p - 24*p - 252 = -3*q. What is the greatest common divisor of 98 and p? 14 Suppose -1809 = -4*d + 3*r, -2*r + 827 = 4*d - 967. Calculate the highest common factor of d and 18. 18 Let i(c) = 8*c**2 + 14*c + 30. Let h be i(-2). What is the highest common divisor of h and 51? 17 Suppose -5*y = -53 - 17. Calculate the highest common divisor of y and 119. 7 Suppose -5*x = -2*x - 42. Let d = -7 + x. Suppose 4*v - d - 53 = 0. What is the highest common divisor of 5 and v? 5 Let l(u) = -u**3 + u**2 - u + 7. Let h be l(0). Let r be (-1)/h + 502/(-14). Let d = -14 - r. Calculate the greatest common factor of 110 and d. 22 Suppose -25*x + 23*x + 762 = -2*m, m - 389 = -x. Calculate the greatest common divisor of 77 and x. 77 Let f be (-49050)/(-585) + (-2)/(-13). Calculate the highest common divisor of 60 and f. 12 Suppose 0 = 3*t, 819 = 196*l - 193*l + 5*t. What is the highest common divisor of 9 and l? 3 Let p be 3 - -2 - (4 + -7)*1. Let q = 8 + 4. What is the highest common divisor of p and q? 4 Let t = 23 - -24. Let k = -2684 + 3013. What is the highest common factor of k and t? 47 Let c(m) = 15*m + 1. Let k be c(1). Suppose -4*f + 3 = -197. Let h = 74 - f. Calculate the highest common divisor of k and h. 8 Let w = 14 - 10. Let l(a) = -a**3 - 7*a**2 - 3*a + 3. Let v be l(-8). Suppose v = 3*u + m, 4*m + 79 = 2*u + m. Calculate the highest common factor of w and u. 4 Let x = 71 - 56. What is the greatest common factor of x and 165? 15 Suppose -2*s + 46 = -2. Let q be ((-126)/s)/(6/(-8)). Suppose 77 = 2*j + 3*j + v, 0 = j - 4*v - q. Calculate the greatest common divisor of 10 and j. 5 Let n = -757 + 763. Suppose -30 = k - 3*k. Calculate the greatest common divisor of n and k. 3 Let h = 38 - 16. Suppose -32*o + 62 = 2*y - 31*o, -3*y = -2*o - 107. Calculate the highest common divisor of h and y. 11 Let g(d) = 2*d**2 + 13*d + 7. Let c be g(-5). Let q be 40/6*(c - -14). Calculate the highest common factor of q and 16. 8 Let w be (5 - 6) + 16 - 4. Suppose -13*t + w*t + 18 = 0. Suppose 0 = q - 12 - 15. What is the highest common divisor of t and q? 9 Suppose 319 + 149 = 3*h - b, -3*b = 2*h - 301. Let d(l) = l**2 - 2*l + 14. Let t be d(-6). What is the highest common factor of h and t? 31 Let h be ((-10)/4)/(155/(-186))*152. Calculate the greatest common divisor of h and 342. 114 Let z(v) = 3*v**3 + 5*v**2 - 21*v + 39. Let f be z(9). What is the greatest common factor of f and 33? 33 Suppose 485 = 5*p - 5*d - 0*d, -3*p = d - 295. Suppose 0 = -3*f + p + 4. Calculate the greatest common divisor of f and 85. 17 Suppose -4*h + 3*j + 43 = -2*h, 0 = 3*h - 3*j - 60. What is the highest common divisor of h and 119? 17 Suppose 7*z = -d + 8*z + 1818, -2*z = 0. What is the highest common factor of 18 and d? 18 Let r be (-2)/4 - (-33)/(-6). Let s be -8*3/r - -12. Calculate the highest common factor of 8 and s. 8 Let n = 97 - 104. Let w be (-142)/n + (-16)/56. Let u = 5 - 0. Calculate the greatest common divisor of u and w. 5 Let h be (-1 - 3) + 46 + -30. Calculate the greatest common factor of 150 and h. 6 Let m be 128/9 - 18/81. Let w(o) = 2
{ "pile_set_name": "DM Mathematics" }
of 0 - 1/720*z**6 + 0*z**3 - 1/24*z**5 - 1/8*z**4 + z**2 + 0*z. Let w(r) be the second derivative of x(r). Give w(-4). -1 Let q(s) be the third derivative of -s**4/4 + 2*s**3/3 + 2*s**2 + 5. Calculate q(5). -26 Let k(y) = y + y**3 - 7 + y + 0*y**3 - 6*y**2 - y. Give k(6). -1 Let n(p) be the second derivative of p**4/12 - 7*p**3/6 + 5*p**2 - 9*p. Suppose x = -4*y + 27, 2*y - 7*y + x = -36. What is n(y)? 10 Let b(u) = -2*u**2 - 4 - 2*u**2 + 3*u**3 - 5*u - 2*u**3. Suppose q = 11*n - 55, 15 = 3*n + 3*q - 5*q. What is b(n)? -4 Let d(c) be the third derivative of c**8/20160 + c**7/630 - c**6/120 + 47*c**5/60 + c**2 - 2*c. Let h(t) be the third derivative of d(t). Calculate h(-8). -6 Suppose -9*v - 30 = -4*v. Let p = 9 + v. Let d(z) = -2*z**2 + 5*z - 3. Give d(p). -6 Let k(n) = 5*n**2 + n + 2. Let j be k(0). Suppose x = 4*b + 23, 0*x - j*b = 4*x - 20. Let l(v) = v**3 - 8*v**2 + 8*v - 3. Calculate l(x). 4 Let v = -18 + 11. Let i(f) = -2*f**2 + f - 6. Let l(w) = w**2 + 3. Let r(m) = v*l(m) - 3*i(m). Suppose 4*g = -2 - 14. What is r(g)? -7 Let z(y) be the first derivative of -5*y - 1/2*y**2 - 1 + 1/3*y**3. Determine z(-4). 15 Let l(x) = 4*x**3 - 9*x**2 - 3*x + 1. Let k(b) = b**3 - 2*b**2 - b. Suppose 3*d = -j + 1 + 6, 3*d = 4*j + 2. Let s(a) = d*l(a) - 9*k(a). Determine s(-2). 4 Let c = 3 + -7. Let j(i) be the second derivative of 0 - 2*i**2 + 1/12*i**4 + 0*i**3 + 31*i. Calculate j(c). 12 Let z(w) = w**3 - 4*w**2 + 3*w - 1. Let h = -303 + 305. Determine z(h). -3 Let n(i) = i**2 + 8*i - 4. Let g be 2/(-3)*(-45)/6. Let o(t) = t**2 - 4*t - 13. Let f be o(g). Give n(f). -4 Let b = 608 - 611. Let j(w) = -2*w**3 - 9*w**2 - 7*w - 1. Determine j(b). -7 Let i(z) = -30*z**3 - z**2 + 2*z - 1. Suppose -282 = -17*m - 265. Determine i(m). -30 Let m(n) be the third derivative of 13*n**6/60 + n**4/24 - n**3/6 - 13*n**2. Determine m(1). 26 Let g(t) be the second derivative of 1/20*t**5 - t**2 - 2/3*t**3 + 1/4*t**4 + 0 - 4*t. Suppose 3 = -l - 0. What is g(l)? 10 Let o(j) = -5*j - 12. Let x(z) = -z - 5. Let s(g) = -o(g) + 2*x(g). Calculate s(6). 20 Let c(k) = 2*k - 10. Let f = 39 + -35. Let v be c(f). Let o(z) be the second derivative of z**4/12 - z**3/6 + z**2 + 3*z. Calculate o(v). 8 Suppose 46 = 8*j + 38. Let x(o) = o. Let z(a) = 6*a**2 - 6*a - 1. Let q(p) = 6*x(p) + z(p). Give q(j). 5 Let r(x) be the first derivative of 0*x + 2/3*x**3 + 1/120*x**6 + x**2 - 1/30*x**5 + 6 - 1/4*x**4. Let v(q) be the second derivative of r(q). Determine v(4). 12 Suppose 2*z + 2 + 7 = 5*b, 4*z = 2*b - 10. Let f(n) = -2*n - 5. Determine f(b). -7 Suppose 5*q + 5*n + 287 - 7 = 0, 0 = -q - 3*n - 62. Let d = 59 + q. Let p(j) = -j**3 + 6*j**2 + 6. Give p(d). 6 Suppose 0*m + 5*m = 15. Suppose 2*z = 0, 44 = -3*i + m*z + 17. Let u(y) = y**3 + 8*y**2 - 9*y - 1. What is u(i)? -1 Let r(x) = 4*x - 3 - 4*x - x. Let f be r(-8). Let n(c) be the second derivative of -c**5/20 + c**4/3 + c**3/3 + 7*c**2/2 + 149*c. Determine n(f). -8 Let j(z) = 3*z. Let s(v) = -4*v. Let d(m) = 6*j(m) + 3*s(m). Suppose -36 + 37 = h. Calculate d(h). 6 Let u(s) = s**2 + 2*s - 3. Let l be u(2). Let p(i) = -18*i + 1. Let n(y) = 20*y - 4. Let v(b) = n(b) + p(b). Calculate v(l). 7 Suppose 5*i + 0 = -60. Let k(y) = -y + 6. Give k(i). 18 Suppose 16*v = -32 + 80. Let c(k) = -k**3 + 5*k - 6. Determine c(v). -18 Let x(a) = -3*a - 1. Suppose -5 = v - 2*u - 0, -2*v + 26 = 5*u. Suppose 0 = -v*k + 1 + 2. Suppose -3*d = 2*f + 1, -2*d - 3 = -k. Determine x(f). -4 Suppose 0 = -23*b + 59 - 13. Let o(p) = -p**3 + p**2 - p + 6. What is o(b)? 0 Let w(y) = 3*y + 34. Let v(i) = -4*i - 46. Let l(k) = -2*v(k) - 3*w(k). Calculate l(-20). 10 Let t(z) = -z - 1. Let p(u) = -7*u + 3. Let g(i) = -p(i) + 5*t(i). Determine g(10). 12 Let i = -6 - -1. Let c(g) be the first derivative of -g**4/4 - 4*g**3/3 + 3*g**2/2 + 2*g - 964. Calculate c(i). 12 Suppose -8 = 142*n - 146*n. Let t(g) = 4*g**2 - 2*g + 1. Give t(n). 13 Let x(i) be the second derivative of -i**5/20 - 3*i**4/4 - 5*i**3/3 - 3*i**2/2 + 150*i. What is x(-8)? 13 Let z(x) = -x**2 + 52*x - 450. Let j be z(41). Let h(u) be the second derivative of -u + 0*u**2 + 0 + 7/6*u**3. Determine h(j). 7 Let o(d) = 4*d + 6. Let k(v) = 2*v + 3. Let g(c) = 11*k(c) - 6*o(c). Let j be 24/(-18)*(-3)/(-8)*4. Determine g(j). 1 Suppose 0 = x + 11 - 14. Suppose -2*h - x*h + 25 = 0. Let i(q) = -q**2 + 2*q - 2. Determine i(h). -17 Let i(r) be the second derivative of r**5/20 + r**4/6 - 5*r**3/3 - 17*r**2/2 + 454*r. What is i(-4)? -9 Let j(c) = c**3 + 14*c**2 - 4*c - 42. Let s be j(-14). Let f = -35 + 17. Let d = s + f. Let h(i) = -3*i - 4. What is h(d)? 8 Let f(n) be the second derivative of 3*n**5/20 + n**4/12 - 178*n. Suppose 0 = 3*d + 2 + 4. Let c = d + 3. Calculate f(c). 4 Let g(m) be the third derivative of m**5/60 - m**4/3 + m**3/2 - 35*m**2. Let u(a) = -a**3 - 9*a**2 + 9*a - 2. Let n be u(-10). Determine g(n). 3 Let d(v) = v**3 + 15*v**2 + 19*v - 18. Suppose 5*k + 4*p + 0*p + 50 = 0, 5*k + 2*p = -60. Give d(k). -88 Let h = 21 + -13. Suppose 5*i = 9*i - h. Let q(n) = -1 + i*n**2 + 4*n**2 - 3*n - 4*n**2 + 4*n. Calculate q(-3). 14 Let l(g) be the second derivative of 3/2*g**3 + 0 + 15*g + 1/60*g**5 + 4*g**2 + 5/24*g**4. Let t(b) be the first derivative of l(b). Give t(-6). 15 Let r(m) be the second derivative of m**5/20 - m**4/2 - 7*m**3/6 + 2*m**2 - m + 12. What is r(7)? 4 Suppose 0 = -0*u + 5*u - a + 137, -4*u = a + 106. Let g be ((-9)/u)/((-2)/(-30)). Let l(c) = 3*c - 6. Give l(g). 9 Let f(z) = 7*z**2 - 5*z + 1. Let o be f(-2). Let h(t) = -t + o*t**2 - 33*t**2 + t - 1. Give h(-1). 5 Let k(t) = 4*t**3 + 10*t**2 - 42*t - 32. Let g(d) = 3*d**3 + 7*d**2 - 31*d - 24. Let f(x) = -15*g(x) + 11*k(x). Let y = 15 - 9. Calculate f(y). -10 Let b = -1 + 6. Let p(c) = -3*c - 7. Let t(i) = 13*i + 10*i + 4 - 21*i. Let w(o) = -3*p(o) - 5*t(o). Calculate w(b). -4 Let b = -548 - -537. Let d(t) = t**3 + 10*t**2 - 7*t + 13. Determine d(b). -31 Let z(k) be the first derivative of -k**3/3 - 9*k**2 - 8*k + 102. Give z(-18). -8 Suppose 26 = -3*z - 5*j - 14, 5*j + 25 = 0. Let r(t) = -t**3 - 6*t**2 + t + 6. Calculate r(z). -24 Let s(m) = -56*m - 325. Let g be s(-6). Let z(q) = -q**2 + 14*q - 27. Determine z(g). 6 Let z = 10 - 29. Let a = 0 - z. Suppose -5*g + 2 = 3*c, -4*c + 2*g + a = -1. Let m(u) = 5*u - 6. Determine m(c). 14 Let f(i) be the second derivative of 0*i**2 + 1/3*i**4 + 0 + 1/20*i**5 + 13*i + 0*i**3. Determine f(-4). 0 Suppose -3*r = -2*h - 1 - 9, -2*r + 8 = -2*h. Let m(l) = 76*l - 2*l**2 + 86*l + 80*l - 245*l - 1. Give m(h). -3 Let u = 24 - 21. Let m(x) = -6 + 4 - 3*x + x**3 + x**2 + 0 + u. Let k be ((-6)/(-8))/(12/32). Determine m(k). 7 Suppose 0 = -2*w - k - 16, 3*w + 2*k = 3 - 27. Let q(d) = 241 + d**3 + 2*d - 231 + 8*d**2 - d. Give q(w). 2 Let a(t) = -t**3 + 11*t**2 + 28*t - 15. Let b be a(13). Let m(q) = q**2 - 12*q + 9. Give m(b). -2 Suppose -36 = 3*i - 45. Suppose 2*f + i*b + 9 = -f, 2*b - 18 = f. Let h(k) = -k**2 - 8*k - 2. Determine h(f). -2 Let i(r) = -7*r + 8. Let v = 3 + 3. Let m(s) = 13*s - 16. Let y(d) = v*m(d) + 11*i(d). Determine y(6). -2 Let f(t) = -t**2 - 11*t - 5. Let i be f(-10). Suppose p - 3*n = 6*p + 2, -5 = -i*n. Let d(m) = 4*m - 1. Calculate d(p). -5 Suppose -2*x + 5*y - 42 = -6, -2*y = -4*x - 40. Let n(l) = -l**3 - 9*l**2 - 11*l - 19. Calculate n(x). 5 Let b(m) = -7*m**2 + m**3 - 4 + 3*m**2 + 1 + 12*m**2 - 2*m. Calculate b(-8). 13 Let c(v) = -v**3 - 11*v**2 - v - 12. Let n = 125 - 136. Give c(n). -1 Let n(v) = v**2 + 7*v + 5. Let u be n(-4). Let a(x) = 2*x + 12. What is a(u)? -2 Let j = 1 - 6. Let l(c) = -c**2 + c + 4. Let q be l(2). Let f(y) = -9 - 2*y + 0*y + q + y. Calculate f(j). -2 Let c(o) be the second derivative of o**4/12 - 3*o**3/2 - 23*o**2/2 + 350*o. Give c(8). -31 Let a(w) = 5*w**2 + 14*w - 9. Let o(n) = 3*n**2 + 7*n - 5. Suppose 2 = 2*t + 10. Let p(l) = t*a(l) + 7*o(l). Calculate p(6). -5 Let c(w) = -4*w + 1. Let i = -19 - -17. Let y be 80/(-16) - (0 + i). Calculate c(y). 13 Let u(d) = -d**2 - 1. Let k be u(2). Let t(b) = -9*b - 3 - 6*b**2 - 10*b - 9*b + 22*b + 0 - b**3. Determine t(k). 2 Let p(z) = -2*z - 3. Let o(h) = 2*h - 29. Let r(a) = a**2 - a + 7. Let u be r(3). Let s be o(u). What is p(s)? 3 Let n(g) be the third derivative of g**6/120 + 7*g**5/60 - g**4/24 - 116*g**2. Determine n(
{ "pile_set_name": "DM Mathematics" }
9? True Is 34 a factor of 1009774262? True Is 8581254 a multiple of 23? True Is 612024798 a multiple of 2037? True Is 584872428 a multiple of 2199? True Is 56 a factor of 7693234? False Is 28619415 a multiple of 45? True Does 28 divide 34457908? False Is 99671720 a multiple of 3130? True Is 48283928 a multiple of 2884? True Is 25 a factor of 212981550? True Is 964061350 a multiple of 92? False Is 13 a factor of 1713234744? True Is 37886481 a multiple of 519? True Does 205 divide 205297095? False Is 32477395 a multiple of 690? False Is 8332560 a multiple of 426? True Is 2269221249 a multiple of 3590? False Does 17 divide 355012476? False Is 393170118 a multiple of 4587? True Does 12 divide 363846288? True Is 576 a factor of 38715264? True Is 29 a factor of 2321413779? True Is 154 a factor of 18602613? False Does 830 divide 315291270? True Is 308 a factor of 1402390345? False Does 7 divide 12467232? False Is 104342206 a multiple of 1717? False Is 310 a factor of 104733654? False Is 1298242176 a multiple of 231? True Is 107814432 a multiple of 138? True Does 36 divide 343314468? True Does 7 divide 7878395? True Does 19 divide 2492531321? True Does 791 divide 62299160? True Does 180 divide 106561080? True Is 811 a factor of 109238971? False Does 29 divide 1591946? False Is 63742816 a multiple of 8? True Is 239371800 a multiple of 24? True Is 3115 a factor of 1108317000? True Is 2011 a factor of 854695504? False Does 13 divide 19034385? False Does 100 divide 578589800? True Does 960 divide 107321280? True Does 6 divide 51960492? True Is 1414 a factor of 316872597? False Is 763296672 a multiple of 16? True Does 53 divide 343666522? True Does 31 divide 30221387? False Does 23 divide 5347596871? False Is 83 a factor of 46620685? True Does 71 divide 127255643? True Is 46 a factor of 6444998? False Does 35 divide 54545925? True Is 1753 a factor of 114613417? False Is 20 a factor of 364047700? True Does 124 divide 36284384? True Is 100698255 a multiple of 207? True Is 33199400 a multiple of 325? True Is 39 a factor of 1159717182? True Is 34533465 a multiple of 199? True Is 1134580914 a multiple of 9? True Does 37 divide 44403071? True Is 18 a factor of 13854041? False Is 218 a factor of 107589890? False Is 208376194 a multiple of 559? True Is 13 a factor of 1158699447? False Is 258 a factor of 61474692? True Does 37 divide 529756343? True Is 105120288 a multiple of 273? True Is 2213 a factor of 46905744? False Is 45 a factor of 63562680? True Is 468564210 a multiple of 90? True Is 52 a factor of 32211546? False Does 22 divide 3602079310? False Does 222 divide 52196862? True Does 5 divide 173987910? True Is 65 a factor of 29807824? False Is 1570 a factor of 252770884? False Does 65 divide 71929130? True Does 7 divide 171431176? True Is 1467 a factor of 48014910? True Is 27413895 a multiple of 15? True Does 11 divide 40883751? False Does 4 divide 3527132? True Does 32 divide 15320985? False Is 4870 a factor of 303111576? False Does 59 divide 1194234812? True Is 108 a factor of 23006160? True Is 1100 a factor of 896686736? False Is 2287 a factor of 1331107184? True Is 3489734 a multiple of 714? False Is 280057429 a multiple of 2272? False Does 44 divide 7172389? False Does 21 divide 129480729? True Is 139860408 a multiple of 8? True Is 1310 a factor of 76558887? False Is 55857425 a multiple of 288? False Is 1482064 a multiple of 6? False Does 560 divide 6023920? True Does 3 divide 96748661? False Is 19345609 a multiple of 147? False Is 41753378 a multiple of 2643? False Does 58 divide 582917110? True Is 2274 a factor of 114937056? True Is 710024211 a multiple of 479? False Is 12 a factor of 28987356? True Is 7 a factor of 90339263? True Does 4 divide 11925813? False Is 29438147 a multiple of 149? False Does 363 divide 1804836? True Is 6451 a factor of 1979489350? True Is 1548 a factor of 365738220? True Is 9006 a factor of 1086447816? True Is 62069745 a multiple of 84? False Is 7584 a factor of 3075600192? True Does 770 divide 166444740? True Is 338 a factor of 15666638? True Is 472546288 a multiple of 177? False Does 113 divide 53895237? True Is 69 a factor of 95625916? False Does 19 divide 3560471? False Is 3853 a factor of 372855831? False Does 81 divide 1833136064? False Is 40 a factor of 433749480? True Is 3478 a factor of 889988394? False Does 2992 divide 236571456? True Is 118810548 a multiple of 17? False Is 96780040 a multiple of 32? False Is 1648 a factor of 1986609616? True Is 11 a factor of 4291638978? True Does 7 divide 151306337? True Is 9923310 a multiple of 90? True Is 4 a factor of 176784? True Is 41937251 a multiple of 285? False Does 21 divide 2624113? False Is 961273878 a multiple of 136? False Is 59 a factor of 156197131? True Is 162146408 a multiple of 17? True Is 30061878 a multiple of 42? True Is 14 a factor of 39978918? True Does 201 divide 65153497? False Is 4445385306 a multiple of 18? False Does 3820 divide 3939968550? False Is 50 a factor of 55864733? False Is 4 a factor of 135428760? True Is 189715284 a multiple of 27? True Is 2950 a factor of 884233000? True Is 721 a factor of 3388571728? False Is 751566920 a multiple of 2119? True Does 3 divide 13749887? False Is 107104844 a multiple of 1694? True Does 1416 divide 1997338173? False Does 79 divide 380770283? True Is 1346 a factor of 113649510? True Is 299000422 a multiple of 14? True Does 231 divide 9108792? True Does 4 divide 24705350? False Is 9656 a factor of 2637825279? False Does 5 divide 6177089? False Is 13061656 a multiple of 8? True Does 75 divide 24562200? True Is 43 a factor of 248590925? False Is 655259970 a multiple of 474? True Does 1892 divide 2200168447? False Is 313422202 a multiple of 103? True Is 161393718 a multiple of 6? True Is 13 a factor of 369495848? False Does 16 divide 342615008? True Does 217 divide 766136294? True Is 34 a factor of 45941956? True Is 1497062668 a multiple of 191? False Is 5298064 a multiple of 16? True Is 78594202 a multiple of 46? False Is 124413809 a multiple of 159? False Does 7 divide 634542716? False Is 601638170 a multiple of 245? True Is 26203687 a multiple of 1473? False Is 2206580305 a multiple of 2962? False Does 6 divide 87255096? True Is 557 a factor of 71898444? False Is 7298665 a multiple of 11? True Is 3036452349 a multiple of 25? False Is 153190900 a multiple of 20? True Does 173 divide 129369746? True Does 511 divide 105066199? True Is 4621 a factor of 90811892? True Is 2067 a factor of 28629725? False Is 287 a factor of 192577849? False Does 16 divide 411662870? False Is 295 a factor of 10661005? True Does 36 divide 57407403? False Is 22 a factor of 7578263? False Is 34998878 a multiple of 9? False Is 623040 a multiple of 480? True Is 2685653142 a multiple of 8310? False Does 787 divide 419364621? False Is 836283540 a multiple of 3750? False Is 23 a factor of 10876930? True Does 103 divide 316366663? True Is 44252000 a multiple of 1625? True Is 99547368 a multiple of 24? True Is 874 a factor of 123429672? False Is 47873090 a multiple of 20? False Is 237317346 a multiple of 3? True Does 111 divide 941530756? False Is 15081764 a multiple of 7? False Is 44 a factor of 6482017? False Is 84 a factor of 480226488? True Does 3 divide 123603738? True Is 141 a factor of 72047660? False Is 764322 a multiple of 82? True Is 4394878 a multiple of 7? False Does 5228 divide 889792254? False Does 27 divide 38814635? False Is 1079 a factor of 25662326? False Does 109 divide 1524145277? False Is 258 a factor of 58334248? False Is 102427546 a multiple of 410? False Is 484874058 a multiple of 1176? False Does 42 divide 189195510? True Does 21 divide 89014758? True Is 269938988 a multiple of 748? True Is 4070 a factor of 1071053060? True Is 43239438 a multiple of 12? False Is 20790099 a multiple of 561? True Does 67 divide 32824845? False Is 1757 a factor of 408571428? False Does 183 divide 31122346? False Does 41 divide 3113710929? True Does 7830 divide 371854530? True Is 51979399 a multiple of 343? False Does 1010 divide 429672992? False Does 46 divide 243771388? True Does 1013 divide 31818330? True Does 958 divide 14845705? False Does 19 divide 456598139? True Is 9 a factor of 34860933? True Is 4303821132 a multiple of 12? True
{ "pile_set_name": "DM Mathematics" }
1 Let f be (-1)/3 + 183/9. Let a be f/8*(-2 + -2). Let u = a - -16. Solve i = u*i + 2*m - 27, 3*m = 3 for i. 5 Let n(u) = u**2 - 7*u - 21. Let b be n(15). Let s = 102 - b. Solve 0 = -5*v + 4*r - 28, -v + 18 = -s*v + 5*r for v. -4 Let n = -633 + 635. Solve -3*y = -4*u - 4*y - 4, u + 1 = n*y for u. -1 Suppose 0 = -0*u + u - 49. Suppose s = u - 46. Let k be (0 - 0) + 1 + 1. Solve y - b = 2, -3*y - k*b = s*b + 2 for y. 1 Let s = 74 + -76. Let h be (4 + s - 2)/(-1). Solve h = -4*m + 8, -4*l - m = -2 - 0 for l. 0 Let o be ((51/9)/(-17))/(2/(-12)). Let p be (0 - 6)/((-2)/4). Let g be (p/(-3))/(o/(-3)). Solve -3*q + 7 + g = n, 5*q - 3*n = 31 for q. 5 Let s(g) = 3*g**2 - 10*g - 1. Let c be s(7). Suppose 12 = -8*n + c. Solve 3*h - 2*p = -n, -5*p - 2 = -7 for h. -2 Let s be (-2)/4*(-4 - -4). Suppose -6*k + 7*k - 3 = s. Let d be ((-30)/20)/(k/(-10)). Solve -30 = -d*m - 2*x - 3*x, -4*m = 5*x - 29 for m. 1 Let v = 86 - 11. Let d = 77 - v. Solve -4*m + 0*m - 16 = -d*g, 2*g = 2*m + 10 for m. -3 Let a(q) = -20*q**2 - 20*q**2 + 39*q**2 - 7 + 7*q. Let d be a(5). Solve d*p = -3*f - 27, 2*f = 6*p - p + 10 for p. -4 Let i = 62 + -89. Let w = -24 - i. Solve -3*h + w = -z - 3, z + 4*h - 15 = 0 for z. 3 Suppose 0 = -5*b - 5*l, -10*b = -11*b - 3*l - 10. Solve 15 = -5*k - 5*n, b*k - 2*k + n = -7 for k. -2 Suppose -574*n = -573*n. Solve 9 = 3*m - n*m, -2*m + 14 = 2*i for i. 4 Suppose f = 5*f - 20. Suppose -2*k + q = -4, 0*q - f*q = 4*k - 8. Suppose -32 = -2*z - k*d, 2*d - 2 = -12. Solve 0 = h + 2*h + 12, 5*c + 4*h = -z for c. -1 Suppose 6*f - 4*f - j - 3 = 0, -5*f - 3*j - 9 = 0. Solve -5*d + 20 = f, -2*a - 3*d = 2*a for a. -3 Suppose 3*i + 4 = 4*n, 2*i - 3*n = -n. Solve 5*r - 3*z + i*z = 12, -2*r = -3*z - 15 for r. 3 Suppose -12 = -8*r + 5*r. Let v be ((-14)/(-35))/(r/10). Suppose -4*l + 17 - v = 0. Solve -3*j = 3*t, -l*t + 7*t - 12 = 3*j for j. -2 Let o = 597 - 593. Solve 4*a - 9 = 3*a + 3*j, -3*a + o*j = -17 for a. 3 Let h be 30/9*(-30)/(-4). Let u be (105/h)/(3/15). Let r = 8 - 3. Solve v - k = -r*k + u, -v - 4 = -k for v. 1 Let g(k) = k**3 - 15*k**2 - 55*k + 21. Let l be g(18). Solve l*d + 4*z = -14 - 5, 2*z = -d - 7 for d. -5 Suppose 0*p + 6 = 2*p. Suppose -3 - 1 = -z + 2*a, -z - 6 = p*a. Let v be 7/(14/4) - z. Solve v*m - 3*c + 10 = c, 0 = 3*c - 6 for m. -1 Let d be 4 + 4/20 + (-18)/90. Solve -5*t - 13 = j - 1, -5*j - d = -3*t for j. -2 Let f(y) = 2*y**3 - 2*y + 25*y + 1 - y**3 + 11*y**2 - 7. Let l be f(-8). Solve 3*p - 19 = l*i, -3*i - p - 6 = 2*p for i. -5 Let g = -4 + 15. Let s be (4/(-5) - -2)/((-6)/(-15)). Solve -5*y - 5*j = -5, y + s*j - g = -0*y for y. -4 Let f(y) = -y**2 + 31*y - 54. Let a be f(29). Solve q + 3*v = 6*v - 4, q = 4*v - a for q. -4 Let x be 4*(9/4)/3. Let z = -628 - -630. Suppose n = -4*q + 5, 0*n = x*q - z*n - 12. Solve 0 = -5*p + g - 5 + q, -4*p - 2*g + 6 = 0 for p. 0 Let c be ((-4)/3)/(6/(-9)). Suppose 0 = -c*s + s + 4*v - 1, 0 = v - 2. Solve -a = 4*n + 30 - s, 2*a + 11 = -n for a. -3 Let p(a) = 3*a**2 - a - 2. Let t be p(-1). Solve -2*c + l = -l, t*c + l + 15 = 0 for c. -5 Suppose 5*b - 1 = 3*p, -3*b - 9 = -2*p - 3*p. Solve -9 = -3*t, 0*h = h - t - b for h. 5 Let u be 13/4 + 2/(-8). Let f = -214 + 216. Solve -3*n + u*o = 15, -f*o + 7*o - 25 = 0 for n. 0 Let v be 13794/814 + 4/74. Let x be (1 - 4)*26/(-6). Solve -2*w + 0*w - 3*i = -v, 0 = -2*w + 3*i - x for w. 1 Let j(b) = 2*b**2 - b + 2. Let z be j(4). Suppose 18 = 4*x - z. Let u = -11 + x. Solve 2*m - 2 = -5*w - m, 3*w + 2*m = u for w. 1 Let p = 17 + -15. Let r(b) = -b + 0*b**2 - 2*b + 2*b**2. Let o be r(p). Solve o*d - 7 = g - 0*g, -2*g + 21 = 3*d for g. 3 Let f = 23 - 2. Suppose -4*s + 1 = -19. Let w = 13 + -9. Solve 3*x + 4 = -s, 3*c + w*x = -f for c. -3 Suppose 0 = 2*m + l - 13 + 4, -2*l = 2*m - 10. Solve -5*j + 0*b + b - 10 = 0, -5*b + 21 = m*j for j. -1 Let p be (2 - 3)/(1/(-8)). Solve p = -4*y - 2*w, 5*w = -5*y + 1 - 6 for y. -3 Let k = 11 + -8. Let j(v) = -19*v**3 - 4*v**2 - 5*v + 3. Let y be j(-2). Let c = 153 - y. Solve 0 = -u + 5*f + c - 18, 0 = 4*u + k*f - 13 for u. 1 Let h(o) = -2*o**3 - 9*o**2 + 3*o + 1. Let q be (1 - -8)/3 + (-9 - -1). Let g be h(q). Solve -b - 2 = -5*p - 5, -5*b = p + g for p. -1 Suppose -4*b - 21 = -5*b. Let o = b - 21. Suppose -3*y - 5*h + 15 = o, 0 = 2*y - h - 1 - 22. Solve 0 = -5*c - a - y, 0 = c - 5*a + 2*a + 2 for c. -2 Let o = -3 + 3. Suppose -6*m + 22*m = 80. Solve o = m*y - 25, -y + 11 = -0*i - 2*i for i. -3 Let v(r) = r**3 + 2*r**2 - r - 1. Let g be v(2). Let z be ((-4)/(-6))/(g/117). Solve -5*n = -2*m - 34 + z, 5*m + n + 16 = 0 for m. -4 Suppose -43*l - 106 = -33*l - 116*l. Let y = 0 - -2. Solve 4*t - 8 = -y*a, -5*a + 2*t - l = 3 for a. 0 Suppose 86 = -2*q + 4*l, -5*l = -0*q - 5*q - 235. Suppose -3*p - 135 = -12*p. Let z be -10*(q/p - -3). Solve -5*r = -2*y + 6, -5*r - 3 = 3*y - z*y for r. 0 Let p be (-14)/35*-15 + 6. Solve 3*c + c = 5*a - 5, -4*a - p = 0 for c. -5 Let u be (-18)/12 + (-6)/(-4). Suppose u = -2*b - 1 - 5, 2*d + 5 = -3*b. Let o be 10/(3 - (-1 - -3)). Solve -10 = -4*s - d*k, 5*s - 7 = -k + o for s. 4 Let g be 3 + -2*(-1)/2. Suppose 2*s = g + 4. Suppose 7*b = 3915 - 3894. Solve b = 2*t + 5*p + 11, s = -t + 3*p for t. -4 Let s be (53/5 + (-6)/(-15))/1. Solve 3*r - 6 = 0, -3*n = -5*r + s + 5 for n. -2 Let k(y) = 3*y + y - 2 - 5*y + 11. Let c be k(6). Suppose g = o + 3, -4*o - 9 = -3*g + c. Solve -5 = -s - 2*v, -5*s + 5*v - 20 = -g*v for s. -1 Let v = 70 - 55. Solve 8 + v = r + 5*z, 0 = 4*r + 4*z - 28 for r. 3 Let s = 707 - 697. Solve s = 5*p - 5*o, 4*p + 10*o = 7*o + 22 for p. 4 Let w be 0*(1/(-5))/(33/(-33)). Solve f + 2*h = w, 0 = -f + 8*h - 5*h - 10 for f. -4 Let h be 1/(-2) - 31/2. Let d = -10 - h. Let m = d + -6. Solve 12 = -3*s, 5*s + m*s = -5*w - 20 for w. 0 Let d = 93 - 91. Let f be 2*(-11)/4*-2. Let n = f - 3. Solve 4*v + 1 = -w + d, 4*w + n = -4*v for w. -3 Let p(m) = -m**2 - 8*m - 5. Suppose -44 = 5*a - 14. Let d be p(a). Solve 4*z = -3*w + 10, -w + 0*w - 5*z + d = 0 for w. 2 Suppose -2*v - 3*v = 0. Let b(j) = -7*j - 72. Let g be b(-11). Solve q - 4 = -g*o + 24, -2*q + 3*o - 9 = v for q. 3 Suppose -3*p + 66 = -6*p. Let c = -19 - p. Suppose 0*s - 10 = -n + 4*s, 0 = -3*n - 2*s + 2. Solve c*y = y - 2*v + 6, -3*v = -n*y - 14 for y. -1 Let v be (-12)/10*((-95)/15 + 3). Suppose -5*m + w + 4 = -5, -3*m + 2*w = -v. Solve 3 = 2*q + 7, m*n - q = 0 for n. -1 Suppose -4*m = -r - 12, 62 - 58 = r. Solve -3*a + 7 = t - 0*t, 4 = m*a for t. 4 Let k(m) = -m**3 + 15*m**2 - 14*m + 5. Let b be k(14). Solve 2*s = -b*t + 13, -t = -4*t + 9 for s. -1 Suppose -5*l = 7 - 12. Let n be 29*l + (-10 - -7). Solve 0 = 2*d + 5 + 5, -2*h - 4*d - n = 0 for h. -3 Let s(g) = 2*g**2 - 23*g - 16. Let i(v) = -4*v**2 + 46*v + 33. Let n(f) = 6*i(f) + 13*s(f). Let t be n(12). Solve -1 - 7 = -4*h - 4*c, -h = -t*c - 8 for h. 4 Suppose -f = 4*q + f - 12, 0 = q + f - 4. Let y(j) = -j**2 + 7*j - 6. Suppose 25 = 7*v - 2*v. Let u be y(v). Solve -u*g = -0*h + q*h, 0 = -3*g + h for g. 0 Suppose -41*r = -55 + 55. Solve -2*h + w - 9 = -4*h, 2*h - 5*w - 15 = r for h. 5 Suppose 0 = 2*m + 6, 3*y - m + 222 = -2*y. Let w be (-2)/(-3)*y/(-10). Suppose g + 5*s = 30, -w*g - 5*s = 19 - 59. Solve -2*x + 4*x = 0, -4*x = -g*p + 10 for p. 2 Let n be (-2)/(4 + -3) + -1 - -7. Suppose -n*a + 2*x = -14, -5 = 5*a - 3*a + 3*x. Solve a*g + 3*k = 6 + 9, 0 = 5*g + 4*k - 27 for g. 3 Let i be (-36)/(1/((-6)/9)). Let o = i - 22. Solve -3*k = -2*h, -4*h + k = -o*k - 6 for h. 3 Suppose 1 = 2*y - 4*o + o, -4*o + 6 = y. Solve 0 = -i + y*d - 2 + 5, -3*i - d = -16 for i. 5 Let b = 0 + 3. Let w be -1 + (4 - b) + 0. Suppose w*h + h = 0. Solve 0 = -0*s + s + 4*k - 12, h = 2*s + 4*k - 16 for s. 4 Let h be 90/(-120) - (-7)/4. Solve 3 = f + 3*k + k, -h = 3*f + 2*k for f. -1 Suppose 0 = -11*i + 13*i + 4. Let z be i/((-2)/(3 - (-8)/4)). Solve -u + 10 = -z*f, 0 = -3*u - 2*f + f - 2 for u. 0 Let g be (-12 - -7) + -6 - -13. Solve 3*r - 5 = -2*h + 7, -8 = -g*r for h. 0 Suppose 2*v - 2*l - 14 = -0*l, 5*l = 2*v - 29. Solve v*y + 2*g - 4 = 0, 0 = 3*g + 1 + 2 for y. 3 Suppose 9*g - 22 - 383 = 0. Let b = 47 - g. Solve 2*u - b*o - 3*o - 3 = 0, 5*o + 5 = 0 for u. -1 Suppose 18 = 79*p - 219. Solve 2*w - p*h + 8 = 0, 2 - 1 = 5*w + 3*h for w. -1 Let g be ((-5)/(-3))/(9/((-1890)/(-25))). Solve 0 = 4*d - 4*a + 28, -2*d - 2*d
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence goig? 3/1001 Four letters picked without replacement from ycyywywywwaw. What is prob of sequence wacw? 1/594 What is prob of sequence hshs when four letters picked without replacement from sssssshsssssssssssh? 1/171 Calculate prob of sequence qqu when three letters picked without replacement from {u: 4, q: 9, w: 4}. 6/85 Two letters picked without replacement from {j: 1, z: 5, g: 5}. Give prob of sequence zg. 5/22 What is prob of sequence tppp when four letters picked without replacement from ppppppppppptp? 1/13 Two letters picked without replacement from sssnsssssssnnsssssns. Give prob of sequence ns. 16/95 Three letters picked without replacement from qcqqcdqqcqqqqcjccqc. Give prob of sequence jdc. 7/5814 What is prob of sequence eeh when three letters picked without replacement from {h: 2, l: 1, d: 2, e: 1, t: 1}? 0 Calculate prob of sequence xe when two letters picked without replacement from {e: 2, c: 3, x: 3, h: 12}. 3/190 Two letters picked without replacement from {g: 4, r: 7, s: 6}. Give prob of sequence gs. 3/34 What is prob of sequence osx when three letters picked without replacement from {o: 9, x: 4, s: 1}? 3/182 Two letters picked without replacement from qdqdgqgd. Give prob of sequence gq. 3/28 Three letters picked without replacement from ttcc. Give prob of sequence ctt. 1/6 What is prob of sequence iwyi when four letters picked without replacement from {i: 10, w: 3, k: 1, t: 2, y: 3}? 45/5168 Two letters picked without replacement from {u: 2, k: 1, y: 1}. What is prob of sequence uy? 1/6 What is prob of sequence tn when two letters picked without replacement from {q: 1, c: 1, g: 1, n: 2, t: 1, m: 1}? 1/21 What is prob of sequence sdcg when four letters picked without replacement from mggmidiscsdigg? 2/3003 What is prob of sequence qgq when three letters picked without replacement from {g: 3, q: 15}? 35/272 Calculate prob of sequence rrdd when four letters picked without replacement from {d: 7, r: 7}. 21/286 Two letters picked without replacement from hhvr. What is prob of sequence vh? 1/6 Four letters picked without replacement from fexexyxxt. Give prob of sequence exfe. 1/378 What is prob of sequence pfv when three letters picked without replacement from gspssspqsfssssvvpsss? 1/1140 Two letters picked without replacement from vvpyjpp. What is prob of sequence yp? 1/14 Calculate prob of sequence lek when three letters picked without replacement from kleee. 1/20 What is prob of sequence wsf when three letters picked without replacement from sbswfb? 1/60 Two letters picked without replacement from {p: 5, n: 8}. Give prob of sequence np. 10/39 Four letters picked without replacement from {w: 2, c: 5, t: 3}. Give prob of sequence ctwt. 1/84 What is prob of sequence xee when three letters picked without replacement from xxxcxexcxxxex? 3/286 Calculate prob of sequence tto when three letters picked without replacement from ttoptwtwtptttttpwttw. 11/570 Calculate prob of sequence jd when two letters picked without replacement from jjwdsggjuggwgug. 1/70 Two letters picked without replacement from {b: 1, u: 1, l: 1, f: 2, n: 1, k: 1}. Give prob of sequence fl. 1/21 Four letters picked without replacement from {v: 1, n: 2, l: 1, w: 1}. Give prob of sequence wlvn. 1/60 Three letters picked without replacement from dlldllzzililzlli. Give prob of sequence ddl. 1/210 Calculate prob of sequence ya when two letters picked without replacement from {a: 7, y: 4}. 14/55 What is prob of sequence jqqj when four letters picked without replacement from {q: 5, j: 5}? 5/63 Four letters picked without replacement from dddddaddaaadad. Give prob of sequence adad. 60/1001 Calculate prob of sequence auka when four letters picked without replacement from {u: 2, y: 2, v: 2, a: 5, x: 1, k: 1}. 1/429 Three letters picked without replacement from iiihihhihihihh. Give prob of sequence iii. 5/52 Calculate prob of sequence zdzd when four letters picked without replacement from {d: 2, t: 3, m: 2, z: 9}. 3/910 What is prob of sequence lll when three letters picked without replacement from blllldubp? 1/21 Calculate prob of sequence iin when three letters picked without replacement from {i: 7, n: 5}. 7/44 Calculate prob of sequence nr when two letters picked without replacement from {n: 1, r: 14}. 1/15 Two letters picked without replacement from uuuuuzuuuuuuuuuuuuuu. Give prob of sequence uu. 9/10 Three letters picked without replacement from qqvqvqvvvvvvvq. Give prob of sequence vvv. 3/13 Four letters picked without replacement from ewwwe. Give prob of sequence ewwe. 1/10 Calculate prob of sequence ejll when four letters picked without replacement from lejlljllpllljljll. 11/1428 Two letters picked without replacement from kavk. Give prob of sequence vk. 1/6 Calculate prob of sequence lgkn when four letters picked without replacement from {i: 1, n: 1, l: 1, g: 2, k: 5}. 1/504 What is prob of sequence uxqx when four letters picked without replacement from {o: 2, u: 1, x: 8, q: 2}? 14/2145 What is prob of sequence ddx when three letters picked without replacement from xdxxxxxd? 1/28 Two letters picked without replacement from xmtxtuxxiutxx. What is prob of sequence iu? 1/78 What is prob of sequence iw when two letters picked without replacement from {c: 3, i: 1, w: 5, q: 7}? 1/48 What is prob of sequence rr when two letters picked without replacement from rdplrarppappppr? 2/35 What is prob of sequence lk when two letters picked without replacement from {l: 1, x: 1, k: 1, h: 1, q: 1}? 1/20 What is prob of sequence ccyy when four letters picked without replacement from yccccccccycccccccccc? 1/190 Calculate prob of sequence kyi when three letters picked without replacement from {y: 3, z: 1, w: 2, k: 3, i: 1}. 1/80 What is prob of sequence vvcv when four letters picked without replacement from vvvvcvvvvcvvvvvvvvcv? 2/19 Calculate prob of sequence ggg when three letters picked without replacement from ghggghghhgggghggggg. 364/969 Two letters picked without replacement from jyqjjmjmbjqqmqi. What is prob of sequence im? 1/70 Two letters picked without replacement from lllhllllhlhlllllllll. What is prob of sequence hl? 51/380 Two letters picked without replacement from hznkf. Give prob of sequence nk. 1/20 What is prob of sequence qvv when three letters picked without replacement from {v: 3, q: 4}? 4/35 Two letters picked without replacement from xjdxf. Give prob of sequence jj. 0 Three letters picked without replacement from {d: 3, n: 2, r: 7}. Give prob of sequence rdr. 21/220 Calculate prob of sequence zob when three letters picked without replacement from wbdwwwodzdwzdwwwdd. 1/2448 Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq. 1 What is prob of sequence chh when three letters picked without replacement from {c: 10, h: 9}? 40/323 What is prob of sequence csc when three letters picked without replacement from {c: 2, s: 2}? 1/6 What is prob of sequence dry when three letters picked without replacement from ovyyydvrdvyovv? 1/273 What is prob of sequence epa when three letters picked without replacement from {a: 2, e: 1, p: 4}? 4/105 Four letters picked without replacement from autttapupattutp. What is prob of sequence upaa? 3/1820 Four letters picked without replacement from {a: 5, p: 7, g: 2}. Give prob of sequence gapp. 5/286 Two letters picked without replacement from pepbieibppbbprinpp. What is prob of sequence pn? 7/306 Four letters picked without replacement from {a: 6, x: 7}. Give prob of sequence aaaa. 3/143 Two letters picked without replacement from {r: 1, q: 1, i: 1, n: 1, l: 1, c: 2}. What is prob of sequence nr? 1/42 Three letters picked without replacement from {q: 2, i: 5, t: 1, r: 1, h: 3}. What is prob of sequence iht? 1/88 Calculate prob of sequence qd when two letters picked without replacement from qdqg. 1/6 What is prob of sequence umm when three letters picked without replacement from ymmmuyymmmuyymmmumu? 20/323 Three letters picked without replacement from {h: 1, t: 1, q: 5, b: 2}. What is prob of sequence hqb? 5/252 Two letters picked without replacement from hfpvnppnehfh. What is prob of sequence ne? 1/66 Four letters picked without replacement from nrnxmrnn. Give prob of sequence rrmn.
{ "pile_set_name": "DM Mathematics" }
1/2, to the nearest integer? 27172 What is the square root of 249524671 to the nearest integer? 15796 What is the square root of 35267811 to the nearest integer? 5939 What is 71079903 to the power of 1/4, to the nearest integer? 92 What is 197363720 to the power of 1/4, to the nearest integer? 119 What is the tenth root of 52000418 to the nearest integer? 6 What is the tenth root of 937241137 to the nearest integer? 8 What is the eighth root of 73654025 to the nearest integer? 10 What is 5077361427 to the power of 1/5, to the nearest integer? 87 What is 8809583 to the power of 1/2, to the nearest integer? 2968 What is 41871306 to the power of 1/2, to the nearest integer? 6471 What is the cube root of 1515271638 to the nearest integer? 1149 What is 62120491 to the power of 1/2, to the nearest integer? 7882 What is the third root of 1460840 to the nearest integer? 113 What is the third root of 20526514 to the nearest integer? 274 What is the square root of 64939593 to the nearest integer? 8059 What is 1779427530 to the power of 1/6, to the nearest integer? 35 What is 59931669 to the power of 1/2, to the nearest integer? 7742 What is the tenth root of 36192090 to the nearest integer? 6 What is 56164435 to the power of 1/6, to the nearest integer? 20 What is the third root of 246726004 to the nearest integer? 627 What is 2862826865 to the power of 1/2, to the nearest integer? 53505 What is the fifth root of 95708564 to the nearest integer? 39 What is the cube root of 2130365143 to the nearest integer? 1287 What is 13074226 to the power of 1/3, to the nearest integer? 236 What is the third root of 2565472550 to the nearest integer? 1369 What is 575269059 to the power of 1/2, to the nearest integer? 23985 What is 220758129 to the power of 1/2, to the nearest integer? 14858 What is 20931831 to the power of 1/4, to the nearest integer? 68 What is 29913984 to the power of 1/2, to the nearest integer? 5469 What is the ninth root of 49208049 to the nearest integer? 7 What is the square root of 6350989365 to the nearest integer? 79693 What is 18702662 to the power of 1/7, to the nearest integer? 11 What is 108188696 to the power of 1/6, to the nearest integer? 22 What is the tenth root of 609568998 to the nearest integer? 8 What is 2333096000 to the power of 1/2, to the nearest integer? 48302 What is the square root of 6638212199 to the nearest integer? 81475 What is 713227425 to the power of 1/5, to the nearest integer? 59 What is the cube root of 24945376 to the nearest integer? 292 What is the cube root of 6372909 to the nearest integer? 185 What is the fifth root of 82795464 to the nearest integer? 38 What is 1885999160 to the power of 1/2, to the nearest integer? 43428 What is the third root of 3707843 to the nearest integer? 155 What is 304044502 to the power of 1/3, to the nearest integer? 672 What is the tenth root of 753648454 to the nearest integer? 8 What is 344728760 to the power of 1/10, to the nearest integer? 7 What is 47921876 to the power of 1/2, to the nearest integer? 6923 What is 101691348 to the power of 1/2, to the nearest integer? 10084 What is 1125722809 to the power of 1/7, to the nearest integer? 20 What is the cube root of 106936927 to the nearest integer? 475 What is 1480754976 to the power of 1/3, to the nearest integer? 1140 What is the fourth root of 819095305 to the nearest integer? 169 What is 1895944595 to the power of 1/3, to the nearest integer? 1238 What is the square root of 274226534 to the nearest integer? 16560 What is the cube root of 4526740698 to the nearest integer? 1654 What is 14535269 to the power of 1/7, to the nearest integer? 11 What is 7000496 to the power of 1/2, to the nearest integer? 2646 What is 496442219 to the power of 1/7, to the nearest integer? 17 What is the cube root of 124268927 to the nearest integer? 499 What is the square root of 23721302 to the nearest integer? 4870 What is the third root of 115905987 to the nearest integer? 488 What is the third root of 161970130 to the nearest integer? 545 What is the cube root of 1993968 to the nearest integer? 126 What is the ninth root of 1087109479 to the nearest integer? 10 What is the square root of 155833042 to the nearest integer? 12483 What is the seventh root of 86382746 to the nearest integer? 14 What is the third root of 15450681 to the nearest integer? 249 What is 174541925 to the power of 1/2, to the nearest integer? 13211 What is 2737461200 to the power of 1/3, to the nearest integer? 1399 What is the fifth root of 7243594377 to the nearest integer? 94 What is 174518154 to the power of 1/6, to the nearest integer? 24 What is the cube root of 5307543 to the nearest integer? 174 What is the cube root of 84320111 to the nearest integer? 439 What is 1058446492 to the power of 1/7, to the nearest integer? 19 What is the square root of 466673852 to the nearest integer? 21603 What is the third root of 71938501 to the nearest integer? 416 What is 223265218 to the power of 1/6, to the nearest integer? 25 What is 274309493 to the power of 1/10, to the nearest integer? 7 What is the third root of 265671414 to the nearest integer? 643 What is 2652043217 to the power of 1/3, to the nearest integer? 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440 What is the seventh root of 569477644 to the nearest integer? 18 What is the cube root of 122049102 to the nearest integer? 496 What is the third root of 726337794 to the nearest integer? 899 What is the third root of 297985905 to the nearest integer? 668 What is the third root of 2836976824 to the nearest integer? 1416 What is the seventh root of 81014155 to the nearest integer? 13 What is the cube root of 29117194 to the nearest integer? 308 What is 3943745457 to the power of 1/2, to the nearest integer? 62799 What is 1776467506 to the power of 1/3, to the nearest integer? 1211 What is 98238022 to the power of 1/2, to the nearest integer? 9912 What is 2916114076 to the power of 1/5, to the nearest integer? 78 What is the ninth root of 110465657 to the nearest integer? 8 What is the tenth root of 6153574956 to the nearest integer? 10 What is the square root of 150026217 to the nearest integer? 12249 What is 228137319 to the power of 1/3, to the nearest integer? 611 What is 1592145485 to the power of 1/2, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
7? 3 What is the thousands digit of 8423897? 3 What is the thousands digit of 2238510? 8 What is the millions digit of 6556742? 6 What is the ten thousands digit of 384890? 8 What is the hundred thousands digit of 214889? 2 What is the units digit of 618246? 6 What is the units digit of 1137981? 1 What is the hundred thousands digit of 3827589? 8 What is the hundred thousands digit of 33420152? 4 What is the units digit of 1226973? 3 What is the hundred thousands digit of 123506? 1 What is the millions digit of 12791823? 2 What is the ten thousands digit of 8317083? 1 What is the units digit of 2087008? 8 What is the hundreds digit of 384219? 2 What is the tens digit of 293350? 5 What is the units digit of 339229? 9 What is the tens digit of 852901? 0 What is the hundreds digit of 393383? 3 What is the tens digit of 212344? 4 What is the thousands digit of 8137833? 7 What is the hundreds digit of 33489? 4 What is the hundred thousands digit of 114444? 1 What is the hundred thousands digit of 302120? 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{ "pile_set_name": "DM Mathematics" }
b) + 7*u(b). b**2 - 13*b - 1 Let o(g) = -7*g**3 + 3*g**2 + 3*g - 39. Let x(p) = -5*p**3 + 3*p**2 + 2*p - 39. Give -2*o(f) + 3*x(f). -f**3 + 3*f**2 - 39 Let d(l) = 666*l**3 - 444*l**2 + 444. Let b(i) = i**3 - i**2 + 1. Determine 444*b(q) - d(q). -222*q**3 Let k(p) = -54*p + 5. Let v(a) = 55*a - 4. What is 3*k(s) + 4*v(s)? 58*s - 1 Let d(g) = -3*g**3 - 5*g**2 - 5*g - 2. Let r(v) be the second derivative of v**4/12 + v**3/6 + v + 32. Let f = -1 + 2. Determine f*d(w) + 5*r(w). -3*w**3 - 2 Let u(h) = 5*h**3 + 10*h**2 + 15*h - 11. Suppose 0 = 34*p - 28*p - 66. Let q(s) = -s**3 - 2*s**2 - 3*s + 2. Give p*q(w) + 2*u(w). -w**3 - 2*w**2 - 3*w Let n(a) = 11*a**3 + 11*a**2 - 15*a - 13. Suppose 2*b - 3 = 1. Let h(t) = 2*t**2 + 7*t - b*t**2 - 5*t**2 + 6 - 5*t**3. Give 13*h(v) + 6*n(v). v**3 + v**2 + v Let r(s) = -7*s**3 + 4*s**2 + 2*s + 5. Let p(n) = 3*n**3 - 2*n**2 - n - 2. Let m be (-3)/(-6)*(31 - 1). Suppose 7*i - 10*i = -m. Calculate i*p(j) + 2*r(j). j**3 - 2*j**2 - j Let w(a) = -16 - 26*a**3 + 53*a**2 - 35*a**2 - 34*a**2. Let c(j) = -5*j**3 - 3*j**2 - 3. Determine -16*c(p) + 3*w(p). 2*p**3 Let x(d) = 6*d - 8. Let f(b) = -17*b + 23. Give 4*f(r) + 11*x(r). -2*r + 4 Let h(q) = q**2. Suppose s = 4*m - 1, -62*m + 61*m - s + 4 = 0. Let x(z) be the first derivative of 5*z**3/3 - z**2/2 + 1. What is m*x(i) - 6*h(i)? -i**2 - i Let z(v) = -56*v**2 - 280*v + 5. Let i be z(-5). Let b(n) = 3*n**2 + 1. Let x(h) = 6*h**2 + 1. What is i*b(j) - 3*x(j)? -3*j**2 + 2 Let q(z) be the second derivative of -z**3/6 + 2*z**2 + 14850*z. Let h(n) = -n + 4. Let w be ((-3)/(-2))/(1/2). What is w*q(f) - 4*h(f)? f - 4 Let h(d) = -d + 1. Suppose -4*i = 2*i - 48. Let b(r) = -10*r + 12*r - i + 12*r. Determine b(o) + 12*h(o). 2*o + 4 Let t(o) = -51*o + 6. Let j(v) be the first derivative of 5*v**2 - v - 126. Determine -11*j(c) - 2*t(c). -8*c - 1 Suppose 20 = -4*y, a - 6*a = -y - 15. Let h(u) = -a*u**3 + 5*u**3 - 5*u**3. Let l(k) = k**3. Let r = -18 - -16. Determine r*h(n) - 3*l(n). n**3 Let g(v) = -3. Let p(s) = -13*s - s**2 - 86 + 92 + 0*s**2. Let a be p(-12). Let f be 12/a + 14/(-3). Let u(c) = -c - 4. Determine f*g(d) + 3*u(d). -3*d Let v(x) = -4*x**3 - 6*x**2 - 6. Let s(a) = -a**2 - 1. Give 4*s(u) - v(u). 4*u**3 + 2*u**2 + 2 Let p(n) = -9*n. Let h be (-1 - 2) + (-209 - -216). Let l(q) = 3*q + 2. Let s be l(-3). Let x(g) = -5*g. Give h*p(m) + s*x(m). -m Let u(x) = 46*x**2 + 3*x - 3. Let n(k) = 506*k**2 + 34*k - 34. Calculate -6*n(j) + 68*u(j). 92*j**2 Let r = 260 + -255. Let f(s) = 2*s**2 + 5*s - 3. Let w(d) be the second derivative of d**4/12 + d**3/2 - d**2 - 2*d. Calculate r*f(k) - 8*w(k). 2*k**2 + k + 1 Let h(m) = -189. Let p(x) = -x - 190. Calculate -3*h(w) + 4*p(w). -4*w - 193 Let j(w) = -5*w + 2. Let x(g) = 11*g - 5. Suppose -92*c - 18 = -89*c. Give c*x(r) - 14*j(r). 4*r + 2 Let z(t) be the first derivative of -t - 1/2*t**2 - 12. Let k(x) = -x - 4. What is k(h) - 3*z(h)? 2*h - 1 Let y(z) = z**3 + z. Let r(l) = 4*l**3 + 7*l**2 + 4*l + 28. What is -r(t) + 6*y(t)? 2*t**3 - 7*t**2 + 2*t - 28 Let q(g) = 24*g - 1. Let u(m) = 23*m. Give -2*q(i) + 3*u(i). 21*i + 2 Let k(d) = -d + 1. Let g(c) = 2*c - 13. Let j be g(0). Let f(p) = p - 1. Let n(l) = -2*l + 2. Let u(y) = -4*f(y) - n(y). Calculate j*k(x) + 6*u(x). x - 1 Let j(t) = 11*t - 20. Suppose 2*k - 24 = 6*k. Let h(m) be the second derivative of -2*m**3/3 + 7*m**2/2 - m - 12. Give k*j(l) - 17*h(l). 2*l + 1 Let c(h) = 2*h - 22. Let p(z) = 1. Let d be 5*((-66)/33 + 24/10). Determine d*c(y) + 44*p(y). 4*y Let a(y) = -2*y**3 - 4*y**2 - y. Let h be 0 - (-2 - (5 - 4)). Let u(f) = 2*f**h - 41*f + 42*f - f**3. What is -a(l) - 3*u(l)? -l**3 + 4*l**2 - 2*l Suppose 5*m - 383 = -53. Let n(o) = 209*o**2 - 66*o - 66. Let w(a) = 16*a**2 - 5*a - 5. Give m*w(g) - 5*n(g). 11*g**2 Let n(u) = 7*u**3 + 6*u**2 - 4*u - 12. Let y(i) = 21*i**3 + 17*i**2 - 11*i - 35. Give -17*n(p) + 6*y(p). 7*p**3 + 2*p - 6 Let u be 348/(-96) + 3/(-8). Let r(a) = -a - 6. Let k(z) = z - 5. Let q(s) = -2*s + 4. Let l(d) = -3*k(d) - 2*q(d). Give u*l(m) - 5*r(m). m + 2 Let h(l) = -1. Let r(v) = v - 9. Let q = -33 - -40. Suppose -q*f + 2*f - 79 = 3*c, -4*c + 2*f = 62. Determine c*h(s) + 2*r(s). 2*s Let v(d) = d**2 - d + 1. Let n(l) = -58*l**3 + 348*l**2 - 348*l + 348. Calculate -n(p) + 348*v(p). 58*p**3 Suppose -x + 4*b + 23 = 0, x = -5*b + 4*b + 8. Suppose 42 = 4*s - x*s. Let p(n) = 7*n**2 + n - 2. Let q(l) = -8*l**2 - 2*l + 2. Give s*p(h) - 5*q(h). -2*h**2 + 4*h + 2 Let f(m) = -5*m - 2. Let i(n) be the first derivative of 2 + 1 - 8 + 3*n**2 + 4*n - 2*n. Give 3*f(b) + 2*i(b). -3*b - 2 Suppose 94*w - 61*w = -99. Let p(x) = -4*x**2 - 9*x + 2. Let k(o) = -5*o**2 - 10*o + 3. Give w*p(y) + 2*k(y). 2*y**2 + 7*y Let x(w) = -9*w**3 + 1365*w**2 - 30*w + 15. Let b(k) = -k**3 + 195*k**2 - 4*k + 2. Calculate 15*b(l) - 2*x(l). 3*l**3 + 195*l**2 Let p(b) = -b + 0 + 1 + 114*b**2 - 113*b**2. Let x(i) = -11. Let g(a) = -5. Let z(k) = -13*g(k) + 6*x(k). Give p(o) - z(o). o**2 - o + 2 Let g(a) = 615*a + 297. Let n(q) = -205*q - 107. Let y(k) = -3*g(k) - 8*n(k). Let u(f) = 17*f + 3. Calculate -35*u(r) - 3*y(r). 20*r Suppose -h + 0*z = 4*z + 21, 4*h - 16 = 4*z. Suppose 4*n - 3 = 2*a + 19, 2 = 2*a. Let x(j) = -5*j**2 + 2*j - 5. Let l(u) = -u**2 - 1. What is h*x(s) + n*l(s)? -s**2 - 2*s - 1 Let k(i) = -2*i - 1. Suppose 35 = -0*s - 5*s. Let m(t) = t + 1. Let q(l) = l**3 - 34*l**2 - 195*l - 4. Let u be q(39). What is s*m(a) + u*k(a)? a - 3 Let u(k) = 2*k**2 - k - 1. Let t(y) = -29*y**2 + 4. Determine -t(o) - 3*u(o). 23*o**2 + 3*o - 1 Let l(a) = -224*a**3 + 14. Let i(v) = -45*v**3 + 3. Determine -14*i(t) + 3*l(t). -42*t**3 Let k(j) = 3*j + 5. Let z(d) = 6*d + 10. Let f(a) = -9*k(a) + 4*z(a). Let h be 5/((10/15)/((-4)/6)). Let t(o) = o + 1. Give h*t(n) - f(n). -2*n Let u(n) = -2*n**3 + 6*n**2 + 24*n - 6. Let v(l) = 3*l**3 - 7*l**2 - 23*l + 7. Give 7*u(h) + 6*v(h). 4*h**3 + 30*h Let f(y) = 5*y**3 - 3*y**2 - 3*y. Let c be (3 - (-39)/(-6))*36/(-21). Let t(l) = -l**2 - l. Calculate c*t(i) - 2*f(i). -10*i**3 Let s(c) = -92. Let m(q) = -q. What is -m(w) + s(w)? w - 92 Let t(d) = d + 2. Let k(r) = 4*r + 1. What is -7*k(f) + 6*t(f)? -22*f + 5 Let s(r) = -24. Let w(f) = 5. Let c(q) = -s(q) - 5*w(q). Let x(k) = 11*k - 33. Give 33*c(b) - x(b). -11*b Let d(q) = 2*q**3 - 4*q**2 - 13*q - 4. Let c(i) = -i**3 + i + 1. Calculate -6*c(k) - d(k). 4*k**3 + 4*k**2 + 7*k - 2 Let i = 237 - 240. Let w(h) = -4*h - 2. Let r(m) = m. What is i*r(z) - w(z)? z + 2 Let x(s) = -s**3 - s**2 - 1. Let c(z) = -3*z**3 - 2*z**2 + 6*z - 2. Suppose 42*q - 48 = 18*q. Give q*x(u) - c(u). u**3 - 6*u Let h = 4 - -12. Let f = -14 + h. Let o(j) = 6*j**3 - 11. Let u(d) = -9*d**3 - 1 + 3 + 8*d**3. Calculate f*o(p) + 11*u(p). p**3 Let h(x) = -14*x**2 + x. Let p(s) = -183*s**2 + 12*s. What is 27*h(b) - 2*p(b)? -12*b**2 + 3*b Let g(u) = 4 - 11 + 0*u + 8 - 5*u. Let b(z) = z. Calculate 4*b(t) + g(t). -t + 1 Let m(u) = -5 - 3 + 1 + 2*u. Suppose 5*t - 17 = 8. Let a(k) = 6 + 432*k - 104*k - 109*k - 107*k - 114*k. Give t*a(s) + 4*m(s). -2*s + 2 Let u(i) = 16*i - 15. Let l(a) = 29*a - 29. Give -3*l(t) + 5*u(t). -7*t + 12 Let u(f) = 30*f. Let j(h) = -89*h + 1. Determine 2*j(q) + 7*u(q). 32*q + 2 Let u(y) = -7*y**3 - 10*y**2 - 5*y - 5. Let o(k) = -k**3 + k**2 - k - 1. Calculate 5*o(d) - u(d). 2*d**3 + 15*d**2 Let n(c) = 1640*c**3 - 3*c**2 - 3*c + 6. Let v(u) = -178760*u**3 + 328*u**2 + 328*u - 656. Determine 328*n(b) + 3*v(b). 1640*b**3 Let a(r) = r**2 + r. Let s = -548 + 544. Let k(x) = 3*x**2 + 4*x - 3. What is s*a(d) + k(d)? -d**2 - 3 Let k(y) = 5*y**2 - 4. Suppose -6*m - 24 = -5*m. Let w be 1/((-65)/10) - m/(-13). Let f(c) = 21*c**2 - 17. Determine w*f(h) + 9*k(h). 3*h**2 - 2 Let g(i) = -i**2 - 1. Let n(w) = -4*w**2 + 25*w - 6. Give 5*g(k) - n(k). -k**2 - 25*k + 1 Let h(y) = -3*y + 4. Let f = 2 - 2. Suppose 2*k + 2 - 10 = f. Let t(x) = 5 + 2 + 2*x - 7*x. Calculate k*t(w) - 7*h(w). w Let k(t) = -15*t - 9. Suppose 3*n + 24 - 94 = 2*h, -h = 5*n - 108. Let u(v) = 4*v + 2. Calculate n*u(d) + 6*k(d). -2*d - 10 Let q = 20 - 33. Let a(r) = 2*r - 7. Let o(s) be the third derivative of -1/6*s**4 + 0 - 7*s**2 + 0*s + 5/2*s**3. Give q*a(c) - 6*o(c). -2*c + 1 Let w(c) = -4*c**2 + 8*c + 1. Let a(f) = -2*f**2 + 8*f + 1. Determine 5*a(i) - 4*w(i). 6*i**2 + 8*i + 1 Let i(d
{ "pile_set_name": "DM Mathematics" }
g = -3. Let v(h) be the second derivative of 0 - 49/15*h**6 - 119/10*h**5 + 6*h + 0*h**2 - p*h**3 + 40/3*h**4. Factor v(s). -2*s*(s + 3)*(7*s - 2)**2 Let l(b) be the third derivative of b**7/105 - b**6/6 + 37*b**5/30 - 5*b**4 + 12*b**3 + 6*b**2 - 8. Factor l(k). 2*(k - 3)**2*(k - 2)**2 Let l(f) be the second derivative of -f**3 - 15*f + 0 - 1/4*f**4 - 3/2*f**2. Suppose l(m) = 0. What is m? -1 Let m(h) be the first derivative of h**6/21 + 6*h**5/35 - 39*h**4/14 + 58*h**3/21 + 150*h**2/7 - 288*h/7 + 787. Suppose m(w) = 0. What is w? -8, -2, 1, 3 Let u = -71 + 38. Let x = u + 33. Factor 2/9*l**5 + x + 4/9*l**4 + 0*l + 0*l**2 + 2/9*l**3. 2*l**3*(l + 1)**2/9 Find t, given that 36*t**2 + 8/5 + 76/5*t = 0. -2/9, -1/5 Let 16/11*j**2 + 6/11*j + 12/11*j**3 + 0*j**4 + 0 - 2/11*j**5 = 0. Calculate j. -1, 0, 3 Let g(h) be the third derivative of -h**5/30 - h**4/4 + 4*h**2 + h. Factor g(z). -2*z*(z + 3) Suppose 133*d - 175 - 91 = 0. Find o such that o**3 + 8/3*o + 11/3*o**d - 4/3 = 0. -2, 1/3 Let d(o) be the first derivative of -o**5/450 - o**4/36 - o**2 + 55. Let r(p) be the second derivative of d(p). Determine n so that r(n) = 0. -5, 0 Let a(y) be the third derivative of y**7/105 - 107*y**6/60 + 583*y**5/6 - 2809*y**4/12 + 22*y**2 - y. Suppose a(u) = 0. Calculate u. 0, 1, 53 Let j(z) = -24*z**2 - 366*z - 88. Let i be j(-15). Factor -2/11*b**4 + 0*b - 2/11 + 0*b**3 + 4/11*b**i. -2*(b - 1)**2*(b + 1)**2/11 Let p(z) be the first derivative of -z**3/8 + 3*z**2/16 - 65. Factor p(l). -3*l*(l - 1)/8 Let z(u) be the third derivative of -u**6/60 - 51*u**5/5 - 2601*u**4 - 353736*u**3 + 2*u**2 + 44. Factor z(w). -2*(w + 102)**3 Let v(h) be the first derivative of -h**6/24 - 3*h**5/10 - 11*h**4/16 - h**3/2 + 45. Let v(q) = 0. What is q? -3, -2, -1, 0 Let p be 1 + 4 + (-6 - 0). Let v be 4/10 + 8/45*p. Determine a so that -2/9*a**5 - v*a + 4/9*a**3 + 0 + 0*a**4 + 0*a**2 = 0. -1, 0, 1 Let x(o) be the third derivative of 4/57*o**3 + 1/57*o**4 + 0*o + 11*o**2 - 1/570*o**5 + 0 - 1/1140*o**6. Factor x(a). -2*(a - 2)*(a + 1)*(a + 2)/19 Suppose 4*w + 13 = 1. Let d be (3 + w + 2)*2. Determine v, given that v**2 + d*v + 4*v + 0*v - 6*v = 0. -2, 0 Let y = 86 - 84. Solve -4*v**2 - 4*v - y*v**2 + 2*v - v = 0. -1/2, 0 Let c(h) be the third derivative of -h**8/13440 + h**6/480 + h**5/10 - 15*h**2. Let l(k) be the third derivative of c(k). What is a in l(a) = 0? -1, 1 Let a(i) = 47*i**2 - 687*i + 158. Let h(q) = 95*q**2 - 1375*q + 320. Let p(t) = -5*a(t) + 2*h(t). Suppose p(u) = 0. Calculate u. 2/9, 15 Let f(y) be the second derivative of y**6/360 - y**5/30 + y**4/6 - 11*y**3/6 - 4*y. Let x(k) be the second derivative of f(k). Determine m, given that x(m) = 0. 2 Let s(q) = 4*q**2 - 2*q - 2. Let a be s(1). Let f = a - -1/9. Factor -4/9*k**2 - 5/9*k - 2/9 - f*k**3. -(k + 1)**2*(k + 2)/9 Suppose -3*b + 2*r = 99, 2*b - 2*r = 3*r - 66. Let z be 6/33 - 5/b. Determine k so that 0 - z*k**2 - 1/3*k = 0. -1, 0 Let 5/8*p**2 - 1/8*p**3 + 1/8*p**5 - 5/8*p**4 + 0 + 0*p = 0. Calculate p. -1, 0, 1, 5 Let z = -66 - -68. Factor -121*q - 6*q**2 + z*q**3 + 121*q. 2*q**2*(q - 3) Let p(z) be the second derivative of -2/3*z**6 + 0 - 5/42*z**7 + 26*z + 15*z**2 - 5/6*z**4 - 55/6*z**3 + 3*z**5. What is w in p(w) = 0? -6, -1, 1 Suppose -6*i + 5*t = -4*i - 10, 5*t = 0. Determine p so that -8*p**2 + 23*p**3 - 3*p**3 - 3*p**2 - 4*p**2 - i*p**4 = 0. 0, 1, 3 Factor -444/5*q**4 + 145500*q - 21603/5*q**3 - 66090*q**2 - 75000 - 3/5*q**5. -3*(q - 1)**2*(q + 50)**3/5 Factor -11*s**2 + 4407 - 392*s + 3811 + 19*s**2 - 3416. 2*(2*s - 49)**2 Suppose 0 = -4*r + 17 - 9. Let -7 + 625*t**3 - 5 - 15*t**r + 24*t - 622*t**3 = 0. What is t? 1, 2 Let u(y) = -2*y**3 - 1. Let w(t) = 17*t**3 - 15*t**2 - 5*t + 21. Let j(m) = 6*u(m) + w(m). Factor j(r). 5*(r - 3)*(r - 1)*(r + 1) Suppose 15 = 5*o, 2*o - 21 = -3*w - o. Let v(b) = -b**2 + 34*b + 47. Let j be v(35). Find t, given that 10*t**w + t**2 - 2 - j*t**4 + 3*t**2 = 0. -1, 1 Let z(n) = n**3 + 5*n**2 + 4*n - 3. Let g be z(-3). Let f(t) be the first derivative of 5 + 0*t - 1/3*t**g + 3/10*t**2. Let f(q) = 0. Calculate q. 0, 3/5 Let i be (-7)/((-2)/27*18/24). Factor -2*y**2 - 8*y**3 + 30*y**2 + i*y - 106*y - 16. -4*(y - 4)*(y + 1)*(2*y - 1) Let u = 25 + -17. Factor -7*l**3 + 8 - l**3 - 2*l**4 + u*l - 4*l**2 - 2. -2*(l - 1)*(l + 1)**2*(l + 3) Let t(i) be the third derivative of i**8/672 - i**7/70 + i**6/30 + i**5/60 - 3*i**4/16 + i**3/3 + 193*i**2. Determine f so that t(f) = 0. -1, 1, 4 Let w = 266 - 157. Let m be 1 - (-18)/(-14) - w/(-14). Suppose -m*g**2 + 4*g + 2*g**3 + 3/2 = 0. What is g? -1/4, 1, 3 Let o be 30/((-2)/(2/(-2))). Suppose 0 = -0*x + 5*x + r - 15, -2*r = 5*x - o. Factor 9*z**2 - 6*z**3 - 10*z + 0 + x + 3*z**2 + z**4. (z - 3)*(z - 1)**3 Let v be (-49)/(-7) - (-1 - -3). Suppose v*f - 39 = -5*q - 4, -5*f + 4*q = 10. Factor 2/5 - 3/5*k + 1/5*k**f. (k - 2)*(k - 1)/5 Let k(m) be the third derivative of 2/15*m**5 - 38*m**2 + 0 + 1/120*m**6 + 0*m + 5/24*m**4 - 25/3*m**3. Factor k(a). (a - 2)*(a + 5)**2 Let x(p) = 9*p**3 - 33*p**2 - 116*p - 148. Let j(n) = -3*n**3 - n + 1. Let t(g) = 4*j(g) + x(g). Factor t(m). -3*(m + 3)*(m + 4)**2 Let y(v) = v**3 + 12*v**2 + 17*v + 21. Let l be y(-10). Let t = l + -51. Factor t*i + 0 - 1/5*i**3 + 1/5*i**2 - 1/5*i**4 + 1/5*i**5. i**2*(i - 1)**2*(i + 1)/5 Let 9/4*d - 1/4*d**5 - 9/2*d**2 + 2*d**3 + 1/2*d**4 + 0 = 0. What is d? -3, 0, 1, 3 Determine k, given that 10/7 - 46/7*k**2 + 11/7*k**3 - 47/7*k = 0. -1, 2/11, 5 Let o(n) be the second derivative of -n**5/70 + 3*n**4/14 + n**3/21 - 9*n**2/7 + 19*n. Find v such that o(v) = 0. -1, 1, 9 Let f be (-8 + 15)/21 - 33/126. Let l(n) be the second derivative of -5/4*n**4 + f*n**7 + 1/10*n**6 - 6*n - n**3 - 9/20*n**5 + 0*n**2 + 0. Factor l(v). 3*v*(v - 2)*(v + 1)**3 Let u(x) be the second derivative of -x**8/3780 + x**7/630 + 2*x**6/405 - x**3/2 + 26*x. Let o(f) be the second derivative of u(f). Factor o(l). -4*l**2*(l - 4)*(l + 1)/9 Factor 178/7*l - 348/7 - 2/7*l**2. -2*(l - 87)*(l - 2)/7 Let l(p) = -27*p**2 - 7 + 120*p + 6*p**2 - 4 + 9*p**2. Let z(h) = 4*h**2 - 40*h + 4. Let f(x) = 4*l(x) + 11*z(x). Let f(n) = 0. What is n? 0, 10 Determine y, given that 3/4*y**2 - 27/4*y**3 + 0 + 9/4*y + 3/2*y**5 + 9/4*y**4 = 0. -3, -1/2, 0, 1 Let x(w) = 2*w**3 - 18*w**2 + 18*w - 12. Let f be x(8). Let v(y) be the second derivative of -2/33*y**3 + 5*y - 1/11*y**2 - 1/66*y**f + 0. Factor v(u). -2*(u + 1)**2/11 Let x(w) be the second derivative of w**6/15 + w**5/5 - 6*w**4 + 88*w**3/3 - 64*w**2 - 225*w. Determine y, given that x(y) = 0. -8, 2 Determine v so that 3/5*v**3 - 9/5*v - 6/5*v**2 + 0 = 0. -1, 0, 3 Let u be 115/20 - (2/(-8))/1. Let -24*a**3 + 2*a - u*a + 0*a**2 + 16*a**4 + 7*a**2 - 4*a**5 + 9*a**2 = 0. Calculate a. 0, 1 Let p be 50/100 - (-4)/(16/6). Let c(l) be the second derivative of 0*l**p + 1/30*l**5 + 0*l**3 + 0 - 1/9*l**4 - 3*l. Factor c(f). 2*f**2*(f - 2)/3 Let z = 343 - 92. Let z + 3*t**2 - 67 + 39 - 90*t + 452 = 0. Calculate t. 15 Let i = -7 + 11. Suppose -11 = -5*u + i. Solve -f**2 + 12 - 12 - u*f + 2*f = 0 for f. -1, 0 Let k be -5 + -5 - 24/(-18)*8. Let 1/3*b**2 - k - b + 1/3*b**4 + b**3 = 0. Calculate b. -2, -1, 1 Let o be (-2 - -1)*0/(-8). Solve 0*k + 3*k - k**2 - 7*k - 4 + o*k = 0 for k. -2 Let d(v) = -10*v**2 - 6*v - 7. Let a(t) = t**2 + t + 1. Let y(s) = 22*a(s) + 2*d(s). Factor y(q). 2*(q + 1)*(q + 4) Let u = 11 + -9. Suppose -d - u*d = -6. Factor -33*h - 2*h**4 - h**4 - 12*h**4 - 51*h**3 - 6 - 63*h**d. -3*(h + 1)**3*(5*h + 2) Let v(n) = n**2 - 5*n - 12. Let z be v(-2). Let r(h) be the first derivative of -24/7*h**3 + 0*h + 8/7*h**z - 2/5*h**5 - 11 + 15/7*h**4. Factor r(o). -2*o*(o - 2)**2*(7*o - 2)/7 Let y(l) be the first derivative of l**6/180 + l**5/35 - l**4/21 + 5*l**3/3 - 2. Let a(n) be the third derivative of y(n). Factor a(h). 2*(h + 2)*(7*h - 2)/7 Let f(i) be the third derivative of 0*i - 1/210*i**7 + 1/60*i**5 + 0*i**3 + 0 + i**2 - 1/24*i**4 + 1/120*i**6. Factor f(p). -p*(p - 1)**2*(p + 1) Factor -32/3*j + 5/3*j**3 - 32/3 + 2*j**2 - 1/3*j**4. -(j - 4)**2*(j + 1)*(j + 2)/3 Suppose -2*g - 5 = -3*z, 13 + 17 = z + 5*g. Let u(b) be the first derivative of -z - 4/9*b**2 - 2/27*b**3 - 2/3*b. Factor u(h). -2*(h + 1)*(h + 3)/9 Let c(l) be the third derivative of l**5/12 + 11*l**4/12 + 5*l*
{ "pile_set_name": "DM Mathematics" }
3, what is 1102 + -2022111211? -2022110102 In base 10, what is -31712 + -45? -31757 In base 6, what is -3545140 + -3? -3545143 In base 16, what is 44c1 + -6? 44bb In base 10, what is 923 - -17? 940 In base 10, what is -912 + 2074? 1162 In base 8, what is 5766 + -4? 5762 In base 10, what is 9843 + -71? 9772 In base 5, what is 0 - 124342? -124342 In base 8, what is 24076 - -24? 24122 In base 11, what is 0 - 421510? -421510 In base 9, what is -1 + 66761? 66760 In base 12, what is -a - -298193? 298185 In base 5, what is -1040223 - -3? -1040220 In base 16, what is -5 + -1927c? -19281 In base 6, what is -4 + 10322032? 10322024 In base 14, what is -3 - 2b8936? -2b8939 In base 16, what is 3 - f9c? -f99 In base 4, what is -2301310 - 1002? -2302312 In base 12, what is 16 - -598? 5b2 In base 15, what is 4ab5 - -48? 4b0d In base 3, what is -20 + 22200200? 22200110 In base 11, what is 465a - -216? 4875 In base 9, what is 107041 + 0? 107041 In base 2, what is 11001 - -11101011011? 11101110100 In base 7, what is -2 + -16214? -16216 In base 2, what is -11 + 11010001010111000? 11010001010110101 In base 4, what is -11 + -1003311? -1003322 In base 10, what is -3119 - 25? -3144 In base 4, what is -1110301221 - -11? -1110301210 In base 6, what is 1 - -4132511? 4132512 In base 7, what is 36 - -63? 132 In base 6, what is 3 - 2132340? -2132333 In base 2, what is -10011 - 10100100011011101? -10100100011110000 In base 16, what is 5da + 4? 5de In base 5, what is -40221020 + 10? -40221010 In base 4, what is -20 + 101102? 101022 In base 11, what is 2 - -7691a? 76921 In base 10, what is 1575710 + 2? 1575712 In base 9, what is 0 + 23407? 23407 In base 4, what is 1130322 + -201? 1130121 In base 5, what is -43 + 13321? 13223 In base 7, what is 444 + 3103? 3550 In base 7, what is -2242 + -1012? -3254 In base 14, what is 5 + -a333? -a32c In base 15, what is -3bc1 + bc? -3b04 In base 6, what is 1 - 431234? -431233 In base 2, what is -110001 - 100001000101? -100001110110 In base 8, what is -33233 + 1? -33232 In base 12, what is -2 - 25302? -25304 In base 2, what is -10111111011111 - -1? -10111111011110 In base 6, what is 4 - 3241043? -3241035 In base 13, what is -8c403 - 3? -8c406 In base 4, what is 333233 - 1333? 331300 In base 11, what is -3 - 645a? -6462 In base 4, what is 130230100301 - 0? 130230100301 In base 7, what is -5506406 + 2? -5506404 In base 8, what is 10046 + -216? 7630 In base 7, what is 154 - -662? 1146 In base 5, what is -1341 + 20422? 14031 In base 7, what is -4 + -614026? -614033 In base 12, what is -11a50 + 21? -11a2b In base 12, what is 6a37 + -3b? 69b8 In base 8, what is 32030 + -13? 32015 In base 9, what is 6 + 15110? 15116 In base 11, what is -326 + 1116? 8a0 In base 13, what is 30 + -303? -2a3 In base 8, what is 17215 + -625? 16370 In base 8, what is 15 + -230? -213 In base 13, what is 7 - 3474? -346a In base 13, what is c - 18b0? -18a1 In base 7, what is 14 - 52106? -52062 In base 14, what is c015 + -1? c014 In base 3, what is -112 - 11022110? -11022222 In base 2, what is -110 + -10000010100110010? -10000010100111000 In base 5, what is 201 + -211003? -210302 In base 7, what is -2 + -336242? -336244 In base 7, what is 14 + 4331? 4345 In base 4, what is 320 - -11203? 12123 In base 14, what is 1 - -c99c0? c99c1 In base 13, what is 1 - -88611? 88612 In base 3, what is -110011010 + -21102? -110102112 In base 7, what is 462246 + 35? 462314 In base 6, what is 3101 - 124? 2533 In base 4, what is -110003211313 + 0? -110003211313 In base 5, what is -2241 - 134312? -142103 In base 6, what is 55 + 1432? 1531 In base 13, what is 65 + 323? 388 In base 15, what is 177 - 14e? 28 In base 14, what is -236 - -34? -202 In base 10, what is 137822 - 3? 137819 In base 3, what is -1121111021120 + -12? -1121111021202 In base 6, what is -3 + 1433251? 1433244 In base 16, what is 125d + 4? 1261 In base 10, what is 644 + -44? 600 In base 11, what is -225 + 933? 709 In base 3, what is -2221000101011 + -1? -2221000101012 In base 12, what is -175257 + 2? -175255 In base 2, what is 111110001 + 100000? 1000010001 In base 2, what is -10 - -10001101110010100011? 10001101110010100001 In base 3, what is 1001 + 1000002102? 1000010110 In base 4, what is -2223333 + -333? -2230332 In base 10, what is 551 - 4849? -4298 In base 10, what is 3112 + -36? 3076 In base 14, what is 126 + 899? 9c1 In base 13, what is 3 - -57b7b? 57b81 In base 16, what is -4 - -5df85? 5df81 In base 9, what is 6 - -180? 186 In base 11, what is 25 - 9149? -9124 In base 6, what is -12204235 + 5? -12204230 In base 3, what is -20220 - 12? -21002 In base 11, what is 2176 - -11? 2187 In base 8, what is 2 + 173706? 173710 In base 7, what is -5 - -16163064? 16163056 In base 13, what is -5 - 94bc8? -94c00 In base 13, what is 4108 - 27? 40b1 In base 14, what is 145 + -2c? 117 In base 6, what is 43452055 - 5? 43452050 In base 11, what is 9a706 + 2? 9a708 In base 5, what is -100440 - 2330? -103320 In base 15, what is -16ab2 + 3? -16aae In base 14, what is -3441 - 18? -3459 In base 3, what is 2210111020 - -1? 2210111021 In base 12, what is 706a5 - -4? 706a9 In base 15, what is -c36 + -89? -cc0 In base 11, what is 2 + -6067? -6065 In base 10, what is -689 + -793? -1482 In base 10, what is 96 - -27? 123 In base 12, what is 9b60 + -2b? 9b31 In base 11, what is -a944 + -1? -a945 In base 11, what is 30028 - -31? 30059 In base 16, what is fd32a - 1? fd329 In base 3, what is -11 - -1102202220122? 1102202220111 In base 10, what is 858 - -7? 865 In base 5, what is 13 + -43311? -43243 In base 9, what is -4 - 24252? -24256 In base 5, what is -20 - 20314? -20334 In base 3, what is -12020221 + -1120? -12022111 In base 8, what is 4463443 + -1? 4463442 In base 12, what is -37a3 + 13? -3790 In base 3, what is 212122222212 - 2? 212122222210 In base 2, what is 1000000010111000111 - -10? 1000000010111001001 In base 3, what is -201 + 1202011202? 1202011001 In base 8, what is -317242 - -3? -317237 In base 8, what is -6644 + 15? -6627 In base 7, what is 601 - -25? 626 In base 4, what is -3102010 - -3? -3102001 In base 13, what is -a + 314? 307 In base 13, what is -55 - -85ba? 8565 In base 10, what is 78900 + -9? 78891 In base 16, what is -1 - -3c39? 3c38 In base 15, what is -2d - 205? -233 In base 9, what is 58218 - -27? 58246 In base 10, what is 34 - -4008? 4042 In base 4, what is -1 - 303022020? -303022021 In base 5, what is -2420 + -302? -3222 In base 15, what is 4 - 92a83? -92a7e In base 7, what is 145654 - 30? 145624 In base 5, what is -201133 - -12? -201121 In base 16, what is 14e + -240d? -22bf In base 15, what is -1 + -2b62? -2b63 In base 9, what is -51 + 138? 77 In base 12, what is -1334861 + 5? -1334858 In base 5, what is 22032413 + 1? 22032414 In base 16, what is e366 + -5? e361 In base 14, what is 20 - 1372? -1352 In base 5, what is -22041 - 1? -22042 In base 8, what is -10 + 412415? 412405 In base 3, what is 10 - -12102102? 12102112 In base 3, what is 10 - 111220011200? -111220011120 In base 13, what is -2733 - -19? -2717 In base 10, what is 12285 + -4? 12281 In base 13, what is 5c - -3c5? 454 In base 15, what is -1c - 106e? -108b In base 14, what is -144 - -2c4? 180 In base 13, what is -1c78 + -7? -1c82 In base 8, what is -6 + 145350? 145342 In base 4, what is -10 - 111101? -111111 In base 5, what is -11013 - 103? -11121 In base 6, what is 11530031 - 3? 11530024 In base 15, what is -2de7 - -13? -2dd4 In base 2, what is -10000011111000101 - -11? -10000011111000010 In base 7, what is 1441505 + -2? 1441503 In base 13, what is 31 - 12223? -121c2 In base 6, what is -35444102 - -5? -35444053 In base 8, what is 24 + 4203? 4227 In base 2, what is -111110000111101111011 - -1? -111110000111101111010 In base 9, what is -78160 + 1? -78158 In base 9, what is 1 + 315882? 315883 In base 4, what is 1330320 - -3? 1330323 In base 7, what is -12052 - 3626? -16011 In base 14, what is 7dc9 + d? 7dd8 In base 16, what is -3 - -7ab2? 7aaf In base 4, what is -231122 - -211133? -13323 In base 11, what is -27 - -331? 305 In base 12, what is 26 - 86893? -86869 In base 3, what is 1001100222012 - 11? 1001100222001 In base 12, what is -2a + 8a87? 8a59 In base 12, what is -4 - -253612? 25360a In base 7, what is -10 - -3026? 3016 In base 13, what is 1463 + 1a? 1480 In b
{ "pile_set_name": "DM Mathematics" }
t b(h) be the first derivative of -233*h**4/2 + 1384*h + 1151. What is the derivative of b(j) wrt j? -1398*j**2 Let a be 14 + -5 + 1*5. Let c be (1 - (-3)/(-7))/(4/a). What is the second derivative of 65*r - 51*r - 17*r**2 - 37*r - 10*r**c wrt r? -54 Let d(j) be the third derivative of 3*j**2 - 1/60*j**5 + 1/56*j**8 + 0*j - 1/30*j**6 + 0*j**4 + 29/6*j**3 + 3 + 0*j**7. Find the third derivative of d(z) wrt z. 360*z**2 - 24 Suppose -487 = -7*q + 717. Find the second derivative of 39*w**3 - 10*w**2 + 34*w**3 + q*w - 71*w**3 wrt w. 12*w - 20 Let i(x) be the first derivative of 54/7*x**7 + 128/3*x**3 + 126 + 0*x**4 + 0*x + 0*x**6 + 0*x**5 + 0*x**2. What is the third derivative of i(q) wrt q? 6480*q**3 Let w = -39 + 43. Let g be w + 7 + (-2 - -2). Find the first derivative of -11*d + g*d + 11*d**4 + 1 - d**4 wrt d. 40*d**3 Let m(l) = -93*l**3 + 5*l**2 + 16*l + 1085. Let j(o) = o**3 - o**2 - 8*o + 1. Let u(q) = 6*j(q) + 3*m(q). Differentiate u(b) wrt b. -819*b**2 + 18*b Let j = 2235 - 1261. What is the third derivative of n**4 - 1128*n**2 - 3*n + 0*n**4 + 128*n**3 + j*n**2 + 3*n wrt n? 24*n + 768 Let u(h) = 14*h**3 + 8*h**2 + 4*h + 2296. Let b(a) = -34*a**3 - 22*a**2 - 11*a - 6888. Let z(x) = -4*b(x) - 11*u(x). What is the first derivative of z(w) wrt w? -54*w**2 Let b = -21 - -26. Suppose b*t - 3*t = 10. Find the second derivative of 1 - 3 - 3*c + 2 + t*c**2 wrt c. 10 Let b = 5 - 31. Let w = b + 40. What is the second derivative of 3*k - w*k**2 + 15*k**2 - 16*k wrt k? 2 Suppose 0 = 5*c + q - 952 - 5, 4*q - 772 = -4*c. What is the first derivative of 56*f**4 - 54*f**3 + 65 - c*f**4 + 54*f**3 - 6 wrt f? -540*f**3 Let f(a) be the second derivative of 549*a**5/10 + 353*a**2 + 272*a. Differentiate f(z) wrt z. 3294*z**2 Let b(p) be the third derivative of -1979*p**6/40 - 104*p**5/15 - 100*p**2 + 11*p. What is the third derivative of b(o) wrt o? -35622 Let s(m) be the first derivative of -1/3*m**6 + 0*m**5 + 57 + 0*m**4 + 0*m - 5/3*m**3 + 45/2*m**2. What is the second derivative of s(a) wrt a? -40*a**3 - 10 Let s(y) be the third derivative of 8*y**8/21 - y**6/60 - 19*y**5/60 + 1049*y**4/3 - 43*y**2 - 9. Find the second derivative of s(d) wrt d. 2560*d**3 - 12*d - 38 Let t be 3 + 1233/27 + (-4)/(-3). Find the second derivative of -46*q**2 - 4*q**3 + 5*q**3 + 18*q + 15*q + q + t*q**2 wrt q. 6*q + 8 What is the third derivative of -1149*i**3 + 299*i**3 + 512*i**2 + 488*i**2 - 85*i**2 - 744*i**3 wrt i? -9564 Let z(u) be the first derivative of 79*u**7/840 - u**4/4 + 28*u**3/3 - 68. Let w(h) be the third derivative of z(h). Differentiate w(d) with respect to d. 237*d**2 Suppose 3*r = 5*n + 165 + 121, 2*r - 2*n = 196. Find the third derivative of 3*g**5 + 2*g**2 + r*g**4 - 5 + 46 - 5*g**5 wrt g. -120*g**2 + 2448*g Let y(k) = -12*k - 62. Let o be y(-6). Find the second derivative of 14*f**5 + 2*f**5 - 10 + 13*f + o wrt f. 320*f**3 Let s(b) be the second derivative of 17/6*b**4 - 4*b + 1/2*b**6 + 0 + 0*b**2 + 0*b**3 + 0*b**5. Find the third derivative of s(w) wrt w. 360*w Let u be 2268/1071 - 2/17. What is the third derivative of -177*r + 177*r - 23*r**5 + 19*r**5 - 14*r**3 + 12*r**5 - u*r**2 + 74 wrt r? 480*r**2 - 84 Let t(l) = -1541*l - 984. Let w(x) = -1545*x - 982. Let c(u) = -4*t(u) + 5*w(u). Differentiate c(o) wrt o. -1561 Let k(f) = -4008*f**2 + 1583*f + 41. Let z(i) = 2*i**2 - 13. Let y(x) = -k(x) - 3*z(x). What is the second derivative of y(l) wrt l? 8004 What is the second derivative of -652*q**5 - 3*q**4 + 119*q**5 + 3*q**4 + 57*q**5 + 830*q wrt q? -9520*q**3 Differentiate 14*h - 712*h - 228*h + 124*h - 1301*h + 493 with respect to h. -2103 Let t = 121 + -103. What is the second derivative of -23*m**2 + 33*m + 75*m**2 - t*m wrt m? 104 Let a(p) = 7*p**2 + 3*p - 17. Let h be a(5). What is the second derivative of -h*q - 70542*q**3 + 70542*q**3 + 52*q**5 wrt q? 1040*q**3 What is the third derivative of 51*x**2 + 7202*x**5 - 1683*x**2 - 7096*x**5 - 2*x**3 wrt x? 6360*x**2 - 12 Let r(d) = 3038*d**2 + 35*d - 1598. Let o(a) = -1519*a**2 - 20*a + 799. Let n(b) = -7*o(b) - 4*r(b). Differentiate n(x) wrt x. -3038*x Let l(c) be the first derivative of -154*c**6 + 27*c**2/2 + 7*c - 6675. What is the second derivative of l(d) wrt d? -18480*d**3 Let i be (-6)/(-8)*52/13. Differentiate 53 + 28*s - 86*s**i - 28*s + 100*s**3 wrt s. 42*s**2 Let y be (-3)/((6/44)/(-1)). Let z be (-26 + 23)*4/(-3) - 0/2. Find the second derivative of y*q**z - 13*q + 9*q + 26*q wrt q. 264*q**2 Let k(w) = 29*w**3 - 6*w**2 - 839*w - 3589. Let i(f) = -24*f**3 + 5*f**2 + 840*f + 3591. Let t(p) = 6*i(p) + 5*k(p). Differentiate t(c) wrt c. 3*c**2 + 845 Let p(u) = -2*u + 37. Let a be p(-16). Let d = 71 - a. What is the second derivative of 27*q**d + 4*q**2 - 8*q**2 - 7*q wrt q? 46 Suppose 0*v - 2*c = -v + 2, 2*v - c - 7 = 0. What is the second derivative of -4 + 39*a - 607*a**v - 6*a + 504*a**4 wrt a? -1236*a**2 Let v(a) be the third derivative of 0 + 0*a**4 + 3*a**3 + 3*a**2 - 11/30*a**6 - 17*a + 0*a**5. Find the first derivative of v(x) wrt x. -132*x**2 Suppose 159 = -9*c + 10*c. Find the third derivative of n**2 + 1 - c*n**5 - 762*n + 762*n + 3 wrt n. -9540*n**2 Let d(n) be the second derivative of -433*n**5/20 + n**4/3 - 337*n**2/2 + 1683*n. What is the third derivative of d(k) wrt k? -2598 Let r(m) be the first derivative of 2106*m**2 - 791*m + 3907. Differentiate r(n) wrt n. 4212 Find the third derivative of -52 + l - 5*l**6 - l**4 + l + 4*l**6 + 26*l**2 - 1473*l**5 + 49 - l**6 wrt l. -240*l**3 - 88380*l**2 - 24*l Let o(m) be the third derivative of -649*m**6/60 + 2*m**5/15 - 65*m**4/24 + 2135*m**2. Find the third derivative of o(i) wrt i. -7788 Find the second derivative of 334*j**2 - 173*j**2 - 161*j**2 + 97*j - 346*j**3 wrt j. -2076*j Suppose 56 = 2*t - 0*t + 3*u, -u + 114 = 5*t. Suppose 2*w - 4*z = t, 3*z - z = 2*w - 26. Differentiate w + 40*q - 56*q + 32*q wrt q. 16 Find the second derivative of -49 - 38*s**2 + 3*s - 18 - 27 + 177*s**2 - 25*s**2 wrt s. 228 Let r = 16/69 + 10/23. Let n(v) be the second derivative of 0*v**2 - 15*v - 1/2*v**4 + 0 + r*v**3. What is the second derivative of n(i) wrt i? -12 Let k = 3672 + -3672. Let p(b) be the first derivative of k*b**4 + 4 + 9*b + 0*b**2 + 0*b**3 - 8/5*b**5. What is the derivative of p(x) wrt x? -32*x**3 Let x(t) = 5*t**4 - 256*t**2 + 43. Let p(s) = 3*s**4 - 253*s**2 + 43. Let n(k) = -4*p(k) + 3*x(k). What is the derivative of n(r) wrt r? 12*r**3 + 488*r Find the third derivative of 9*b**5 + 394*b**2 - 19*b**5 - 21*b**5 + 12*b**6 - 4*b**5 wrt b. 1440*b**3 - 2100*b**2 Suppose -18 = -69*y + 63*y. Find the third derivative of -156*h**2 - 22*h**4 - 3*h**3 - 2*h**3 - 3*h**y + 16*h**4 wrt h. -144*h - 48 What is the derivative of 938 + 828 - 1003*r**2 - 1884 wrt r? -2006*r Find the second derivative of -2267*w**3 - 108*w**3 + 699*w**3 - w - 1640*w**3 - 172 wrt w. -19896*w Let c(d) = -4*d**3 - 196*d**2 + 9932*d + 4. Let g(u) = -5*u**3 - 186*u**2 + 9931*u + 3. Let z(t) = 3*c(t) - 4*g(t). What is the second derivative of z(q) wrt q? 48*q + 312 Let h(n) be the second derivative of -11*n**7/42 - 41*n**5/20 + 43*n**3/2 + 2*n**2 + 1146*n. What is the second derivative of h(r) wrt r? -220*r**3 - 246*r Find the third derivative of 293*x**4 - 747*x**2 + 770*x**2 - 2 + 125*x**4 - 2 wrt x. 10032*x Let g = -76 - -96. Let r be 43/15 - g/(-150). Find the first derivative of -71*f**3 + 55*f**3 + 38*f**r + 21 wrt f. 66*f**2 Let v(u) be the first derivative of 16*u**3 - 501*u**2 - 3292. Find the second derivative of v(q) wrt q. 96 Let g be -2 + 6*9/108 - -3. Let a(l) be the second derivative of 3/20*l**5 + 0*l**4 + 0*l**2 + 0 - g*l**3 - 3*l. What is the second derivative of a(y) wrt y? 18*y Let t(a) = -80*a**3 + 20*a**2 - 6*a - 8288. Let k(u) = -61*u**3 + 20*u**2 - 6*u - 8287. Let b(z) = 5*k(z) - 4*t(z). What is the derivative of b(x) wrt x? 45*x**2 + 40*x - 6 Let h(y) be the second derivative of 2806*y**3/3 + 1624*y**2 + 373*y. What is the first derivative of h(q) wrt q? 5612 Let y(v) be the third derivative of -86*v**4/3 - 2575*v**3/6 + 6*v**2 + 54. Differentiate y(i) wrt i. -688 Let h(g) be the second derivative of -3/2*g**2 - 4*g**3 + 0 + 37*g. Differentiate h(n) with respect to n. -24 Let r(q) = -2*q**3 - 28*q**2 - 4*q - 27. Let k be r(-14). Find the firs
{ "pile_set_name": "DM Mathematics" }
73/153) Simplify n**6*((n*n*n/n**(-4))/n)/n*n*n**(-4)/n**(-1/2)*(n**(-1/3))**(-46)/((n*n*n*n**(2/9)*n*n*n)/(n*n*n*(n/n**1)/n*n*n)) assuming n is positive. n**(389/18) Simplify ((h**(-1))**(3/8))**(3/28)/((h**(1/2))**(-16)*h/(h*h/(h/(h*h/(h*((h/((h**(-4/7)*h)/h))/h)/h)*h)*h)*h)*h*h*h**(2/7)*h) assuming h is positive. h**(1591/224) Simplify ((p/p**(-1/23))**(1/42)/((p**(-5/16)/p*p*p*p)/p)**(20/9))**31 assuming p is positive. p**(-270041/5796) Simplify (((i**(6/7)*i)/i*i**8)/(i**(2/7)*i/(i/(i**(-12)/i))))**24 assuming i is positive. i**(3624/7) Simplify ((k**(1/4))**(-2/159))**(-17)*k**(1/5)/k*k*k**(-2/5)*(k**(1/4))**(-11/5) assuming k is positive. k**(-443/636) Simplify ((y*(y/(((y*(y*y**(-1/2)*y)/y)/y)/y))/y)**(-29))**(4/9)*(y/y**(-6))/y**5*(((y*y*y**(-4/5)*y*y)/y*y)/y)/(y**6*y) assuming y is positive. y**(-332/15) Simplify (r/(r/(r*r*r/r**(-6)*r))*r*(r*r**(-3/7))/r)**(-1/10)*(r**(-6)*r**(1/4)*r)**(2/29) assuming r is positive. r**(-2811/2030) Simplify ((((l/(l/(l*l**0)))/l)/l)**(5/6)/(l**(2/15)*l*l**(-4/15)))**(-10/11) assuming l is positive. l**(17/11) Simplify (((z*z**0*z**2*z*z)/((z/(z**(-4/5)/z))/z*z**(-1/2)))**(-21))**(2/127) assuming z is positive. z**(-777/635) Simplify (((b/(b/(b*(((b*b**(3/19))/b)/b)/b))*b*b**(-1/7))**28)**(16/5))**18 assuming b is positive. b**(2304/95) Simplify ((z/z**(-16)*z**(6/11))/(z/(z**13*z)*z)**(-36))**29 assuming z is positive. z**(-132211/11) Simplify ((j/j**(2/5))/j*j*j**(-2/57))**(1/38)/((j*j**(-1/2))**(3/31)/(j/j**(-6/7)*j**(-5/3))) assuming j is positive. j**(61477/391685) Simplify ((i**(-1/2))**(9/7)*(i*i*i**(1/2)*i)**(-1/27))/(i**(5/6)/(i*i/(i/(i/i**6))))**(-33/2) assuming i is positive. i**(59707/756) Simplify (q/((q/q**(3/7))/q)*q**(-6))**(-3/29)*((q*q/q**8)/(q**(1/4)/q))**(-10) assuming q is positive. q**(21507/406) Simplify ((k/k**0*k*k**(2/9)*(k**(-5)*k)/k**2)**(3/38))**(-32) assuming k is positive. k**(544/57) Simplify (u**3*u**4)**(-3/7)/(((u**(-1)/u)/(u*(u*u**(1/4))/u))/((u*u**(-3))/(u*u*u/u**(-1/3)))) assuming u is positive. u**(-61/12) Simplify (c**(-44)/c)**(-4/9)/((c/(c**41*c))/c**(-18)) assuming c is positive. c**43 Simplify ((a*a*a**(-1/8)*a*a**29)/(((a/(a/a**9))/a)/a*a*a/((a**(-1)*a)/a)))**(-8) assuming a is positive. a**(-175) Simplify (z**1*(z*z/((z*z**(-2))/z))/z)/(z*z**(-2/3)/z)**(-10)*(z**(-1))**(-30)*(((z/(z**0*z*z))/z)/z)**(6/17) assuming z is positive. z**(1340/51) Simplify (((n/(n*((n**(-10)/n*n)/n)/n)*n)/n*n*n/(n*n/(n*n**(-2/3))*n))/(n**(-16)*n*n/(n*(n*n**(8/7)*n)/n)))**(-2/23) assuming n is positive. n**(-52/21) Simplify (g*g**3)/g*g*g/g**(3/7)*g**2/(g/(g*g/(g/((g/g**(-7))/g*g))))*((g**0/g)**(7/6))**(12/11) assuming g is positive. g**(1024/77) Simplify (g**(-1/5)/g*g**(-2)*(g/(g/(g*g**(1/4)))*g)**17)/((g**(-1/2)*g**1)/(((g**(-1)/g*g)/g)/g*g)**(-26)) assuming g is positive. g**(1731/20) Simplify (g**(-9)/g**(-1/3))**(-21/4)*(g**1)**42/(g*g**(-5)*g*g*g/(g/g**6)) assuming g is positive. g**(167/2) Simplify ((c*c**2/c)/(c/c**(-6)))/(c/((c**(1/6)*c)/c)*c**4)*(c**(-4)/(c/c**(2/3)))/(c/(c/c**(-1)*c*c*c)*c*c*c)**(-22) assuming c is positive. c**(-217/6) Simplify ((o/(o*o**5*o))**(-8/5)/(o*o**(-1/24)*o*o*o*o**(-2/31)/o))**8 assuming o is positive. o**(24947/465) Simplify (((j/(j/(j*(j/j**(-1/7))/j)*j))/j*j)/j*j*j/(j/(j*j/j**(6/5)*j))*j**(2/9)/j**10)**30 assuming j is positive. j**(-4936/21) Simplify ((t**(-2/9)/t)/(t*(t/((t/((t**(-2)*t)/t))/t))/t*t))**29*t*t**(-3)*t**(-1/5)/t*t*t*t**4/t*t*t**(-1/2)*t assuming t is positive. t**(-2893/90) Simplify ((t*t**2*t**(1/6)*t)/(t**(1/8)/(t**8*t*t)))/(t/(t*t/t**(3/8))*t**(-2/3)*(t/(t*t**(1/4))*t)**(-16/5)) assuming t is positive. t**(266/15) Simplify (((t*t/(t**(9/5)/t))/(t*(((((t/(t*t**(-26/7)))/t)/t*t)/t)/t)/t))**(-7/8))**(-44) assuming t is positive. t**(187/10) Simplify (z**(-2/7))**(-3/4)/((z*z**(-2/5))/z)**(-6)*((z/(z**(-1)*z))**(-4/17))**(2/19) assuming z is positive. z**(-49979/22610) Simplify (t**(-4/7)/(t**16*t))/(((t**43/t)/t)/(t**(5/7)/t)) assuming t is positive. t**(-412/7) Simplify ((f/(f*f*(f*f/(f*f*f**3))/f)*f*f*f)/f**(-10)*f**(2/25)*f/((f**(1/2)/f)/f))**(-10) assuming f is positive. f**(-929/5) Simplify (x**(-8/5)*x**6)**(-2/95)*x*x*x/(x*x**(-5))*x*x*x**(2/7)*x*(x/x**(-5/3))/(x*x*x*x*x**(1/7)) assuming x is positive. x**(86951/9975) Simplify ((y**1)**28*(y*y**(2/5)*y)**1)**(-25/4) assuming y is positive. y**(-190) Simplify (d**1/((d**(-2)*d)/d))**(-2/63)/((d**(4/7)/d)/d**(-1/2))**1 assuming d is positive. d**(-1/6) Simplify b**5/b**(1/3)*(b*b/(b*b**1))**8*(b**6*b**(-1))/((b/(((b/(b*b**9/b*b))/b*b)/b*b)*b)/(b*b/(b/b**(-4)))) assuming b is positive. b**(-13/3) Simplify (h/h**(6/7)*h*(h**(-4)*h)/h)/(h**(-1)*h)**(1/5)*(h*h**(-2/5))**22*h*h**(2/7)*h**(-5) assuming h is positive. h**(232/35) Simplify ((x*x**(-4)*x**(-4))/(x**(-1)/(x*(x*x**4)/x*x)))/(((x**4/x*x)/(x**(-3/7)*x))/((x/x**(-1/4))/x)**19) assuming x is positive. x**(37/28) Simplify (c**28*c**(-22)*(c*c**(-6)*c)/(c*((c/((c/(c/(c*c/(c*((c**(-5)/c)/c)/c)))*c)/c))/c)/c*c))**26 assuming c is positive. c**260 Simplify (x*x*((x/(x**(-2/21)*x*x))/x)/x*x/(x/(x*x**(4/9)*x)))/((x**(-2/5)*x)/x**(-6))*(x**(1/5)/(x*((x**(-2)/x*x)/x)/x))**(-1/56) assuming x is positive. x**(-1612/315) Simplify (k**(-7))**(-3/22)*k**(-4/7)*k*k**33/k*k assuming k is positive. k**(5295/154) Simplify (x**6*x/(x/x**(-2/7)*x))/(x/((x**3*x)/x)*x**3/x)*(x/x**(2/21)*x**(-3/5)*x)/((x*x**(-1/6))/(x*x*x/x**(-2)*x)) assuming x is positive. x**(783/70) Simplify ((c**(-5/4)*c)/c**10)**(-37)/((c**1/((c/(c/(c/c**1*c)))/c))/(c**(2/5)/c**(3/4))) assuming c is positive. c**(3779/10) Simplify (v/((v*v**(-5)*v)/v)*v**(3/7)*v*v**(-2/11)*v**(-5/2))/(((v*v**1)/(v*v*v**2/v))/(v**(-2/9)*v**4)) assuming v is positive. v**(11815/1386) Simplify ((z**(11/4)*z)**(-16)/((((z/(z*z*(z/z**7)/z)*z)/z)/z)/z**(-2)))**45 assuming z is positive. z**(-3015) Simplify j**(-41)*j*j**(2/67)*j**31/j*j/j**(3/13)*j assuming j is positive. j**(-7143/871) Simplify ((g**(-1/4))**(1/23)*g/(g*(g*g**3)/g)*g*g**(-1/7)*g)/((g*(g*g*(g**(-1/4)*g*g)/g*g)/g)**(-35)/(g/(g*g*g**2*g)*g/g**(2/7))) assuming g is positive. g**(40833/322) Simplify ((x*x*x**10*x**(-2)*(x/(x*x*x/x**(-2/17)))/x*(x*(x**13*x)/x)/x)**(-13/3))**(-13/5) assuming x is positive. x**(57122/255) Simplify ((n**(1/3)/n)/n*n/((n/n**(-3/5))/n))**(-2/57)/((n*n*n/(n*n**(3/5))*n)/n**(-6))**(-14) assuming n is positive. n**(5294/45) Simplify (r**(1/2)/r)**(1/6)/(r*r**(2/3))**(-3)*((r/r**3)**(-7/6))**(-6/13) assuming r is positive. r**(599/156) Simplify (((q*q**2)/q)**(-1/17)*(q**1)**(5/9))**48 assuming q is positive. q**(1072/51) Simplify (k/(k**(-4/7)*k*k)*(k**6/k)/k)**6/((k**3*k*k**(-1)*k)/(k**(-2))**(-11/6)) assuming k is positive. k**(443/21) Simplify ((t**(1/11))**(-1/16)*t**(-8)/(t/t**(-5)))**(-38/5) assuming t is positive. t**(9367/88) Simplify (s*s*s*s*s/s**(2/63)*s**(-31)/s)/(s*s*s**(2/31)*s**11) assuming s is positive. s**(-78308/1953) Simplify (s**(1/4)/((s*s*s**(4/9)*s)/s))**(7/3)/(s**(-2/13)/(s/(s**(-1/4)/s*s)))**9 assuming s is positive. s**(5275/702) Simplify ((a**(-1))**(-2/21)/((a/(a**(1/10)/a*a))/a*a**(-12)*a))**(4/3) assuming a is positive. a**(4702/315) Simplify (y/y**(1/3))**(-1/4)/(y/((y**(-2)*y)/y)*y/(y**(2/5)/y))*(y**(-3/5)*y*(y/(y**(-2/3)/y)*y)/y)**(-14) assuming y is positive. y**(-477/10) Simplify (o**(-2/9)*o)**41/((o**0/o)/o)**(1/42)*o/o**(-4)*o/o**1*o*(o/(o/o**(-2/17)*o))/o*o**(-2) assuming o is positive. o**(36220/1071) Simplify ((x/(x/x**(-2/3)))/(x*x/(x*x**(2/3)))*x**12/(x**1/x))**27 assuming x is positive. x**297 Simplify (((b/(b/((b/b**(1/4)*b*b)/b)))**13*b**(-2)*(b**(-6)/b)/b)**(6/13))**(1/43) assuming b is positive. b**(153/1118) Simplify (((m**(-1/5)*m)/m)/m*m*m**(-4/5))/(m**47/((m**(-15)*m)/m)) assuming m is positive. m**(-63) Simplify (b**(2/19)/(b*b**(-2/3))*((b**(-2/11)/b)/b)**(-10/3))**(-2/91) assuming b is positive. b**(-1262/8151) Simplify (i**(2/11)*i*i*(i*(((i*i/(i**0/i))/i)/i)/i)/i*(i**(2/7))**(-8/3))/(i*i**3*i*i**(-11))**(-36) assuming i is positive. i**(-49568/231) Simplify (j**(-34))**(15/7)/(j*j/j**35*j)**36 assuming j is positive. j**(7554/7) Simplify ((((i*i**1)/i)/i)/i)**(-2)/(i**0)**31*(i/i**(3/4)*i)/(((i*i**2)/i)/i*i)*(i**0)**(-29) assuming i is positive. i**(5/4) Simplify ((f/(f**(2/3)/f))**(-8/13)*(f**0)**(-9/11))/((f**(-2)*f)/f*f/(f*f**(-2/5)*f)
{ "pile_set_name": "DM Mathematics" }
- 159 + 1001 for u. -70 Solve -2391 - 328 - 515 = 102*c + 132 for c. -33 Solve -12923 = -791*p + 18717 for p. 40 Solve -102 = -68775*y + 68673*y + 102 for y. 2 Solve -3409*p + 2356*p = -103194 for p. 98 Solve 0 = 9167*j + 275016 + 531680 for j. -88 Solve 614*h + 250473 = 9251*h for h. 29 Solve -300*n + 20860 = 474*n - 29*n for n. 28 Solve 123*o + 4934 = -1624 + 1351 - 697 for o. -48 Solve -41*v = -344*v + 13755 + 669 - 183 for v. 47 Solve -522*h = -771*h - 2024*h + 286398 for h. 126 Solve -5660 = 198*s - 15560 for s. 50 Solve -20116*x + 21479*x = 39527 for x. 29 Solve -10654*f - 6805*f = -4950*f + 12277*f + 1908522 for f. -77 Solve 25764*h + 37942 = 25142*h for h. -61 Solve -20307*k + 18085*k + 117250 - 37258 = 0 for k. 36 Solve -9032*f + 169382 = -155770 for f. 36 Solve -4042*a + 1876*a = -1718*a + 9856 for a. -22 Solve -997865*r + 997525*r = -7480 for r. 22 Solve 167 + 117 - 26 - 66 = -24*y for y. -8 Solve 0 = 9185*l - 331199 - 596486 for l. 101 Solve 1090*u = -9618*u + 321240 for u. 30 Solve -19*t - 462 = 86*t + 211 - 43 for t. -6 Solve 0 = 59*t + 43*t + 85*t - 1432 - 2121 for t. 19 Solve -123*m - 14 = -150*m + 94 for m. 4 Solve 79477*t = 79488*t - 781 for t. 71 Solve 19*a + 30*a - a + 3072 = -0*a for a. -64 Solve 0 = 1678*r + 413129 - 382925 for r. -18 Solve 15774*y + 193030 - 79867 = 3197*y - 327032 for y. -35 Solve 1166*j + 16218 = -1327*j - 1263*j + 3603*j for j. -106 Solve 49 + 2129 = -978*f + 17526 + 9102 for f. 25 Solve 468*b - 919*b - 24157 = 970*b for b. -17 Solve -22216*i + 2280 = -22246*i for i. -76 Solve 0 = -2309*a + 14017 + 27545 for a. 18 Solve 20518*m + 68 = 10245*m + 10134*m + 1180 for m. 8 Solve -21890*h + 21539*h - 5616 = 0 for h. -16 Solve -52*l - 15065 = 18*l - 15205 for l. 2 Solve -40485 = 75*l + 3137*l + 4483 for l. -14 Solve -109*j - 102*j + 158 = -29*j - 24 for j. 1 Solve 1069*g - 27394 - 5672 = 12901 for g. 43 Solve -257*m + 19579 = 241*m - 659 - 20598 for m. 82 Solve -14384 - 11857 = -1434*k - 1863 for k. 17 Solve -379*n + 1981 + 939 = -452*n for n. -40 Solve -579*l + 321*l + 2637 = -330*l - 1467 for l. -57 Solve 0 = 575*b + 12710 - 60 for b. -22 Solve -328*w + 68 + 30089 = 247*w - 6*w for w. 53 Solve -1597*c + 135524 = -3590*c for c. -68 Solve -38564 + 12558 = -25*k + 2681*k + 53674 for k. -30 Solve 35*c - 557 = 117 + 1776 for c. 70 Solve -14518*n + 3254 - 24507 = -14858*n + 7647 for n. 85 Solve -440*t + 58496 = 277*t + 197*t for t. 64 Solve -641*q = -184*q + 20565 for q. -45 Solve 1413 - 100 = -231*i + 315 - 1081 for i. -9 Solve -91935 = 2755*p + 67855 for p. -58 Solve 0 = -161*i - 292*i + 1812 for i. 4 Solve -5976*p + 6096*p - 120 = 0 for p. 1 Solve 159*v + 350*v + 26*v = 24037 + 15018 for v. 73 Solve 188*q + 2739 - 11011 = 0 for q. 44 Solve 206*w - 7*w = -78*w + 17288 - 2330 for w. 54 Solve 657*s + 481*s - 1112 - 7329 - 12043 = 0 for s. 18 Solve 525*f - 143*f + 750 = 160*f + 147*f for f. -10 Solve 624 - 445 = 436*t - 257 for t. 1 Solve -779913 = 62*p - 786981 for p. 114 Solve 1682*b - 2054*b - 1980*b - 285827 = -15347 for b. -115 Solve -20*t + 57*t + 6*t = -54*t - 3007 for t. -31 Solve -2275 = -89*z - 1296 for z. 11 Solve 32*n + 43*n + 227 = -7*n - 3135 for n. -41 Solve -839*u - 40223 = -6663 for u. -40 Solve 100152 = -483*h - 2437*h - 2048 for h. -35 Solve 3851 = -264*g - 971 - 4946 for g. -37 Solve 8*o - 35*o + 245 = 1325 for o. -40 Solve 2813*x + 2026*x + 459705 = 0 for x. -95 Solve 1278626*k - 3410 = 1278681*k for k. -62 Solve -337*q + 342*q + 55 = -180 for q. -47 Solve 117*h - 441 = 36*h + 18*h for h. 7 Solve 0 = -141*s - 279*s - 103*s + 3789 + 5625 for s. 18 Solve -94276 = -7509*v + 4961*v for v. 37 Solve 195*w - 7206 - 11080 + 3076 = 0 for w. 78 Solve 0 = 313*b + 304*b - 970727 + 1032427 for b. -100 Solve -1427*l - 268488 = -9563*l for l. 33 Solve -42333 = 2725*q - 15083 for q. -10 Solve 994 + 4264 = 367*k - 1715 for k. 19 Solve 12220*i - 2376 = 12274*i for i. -44 Solve -806*u - 630*u + 39820 = 59*u - 69315 for u. 73 Solve -19973*v + 19821*v + 152 = 0 for v. 1 Solve -124*o + 1326*o + 940*o = 221*o + 96050 for o. 50 Solve 0 = 4613*k - 715*k + 323534 for k. -83 Solve 11050*x = 13950*x + 98600 for x. -34 Solve 174976*b - 175072*b + 294 - 6 = 0 for b. 3 Solve 1040 = 176*z - 615*z - 3103 - 1125 for z. -12 Solve -157*b = -2498 - 7864 for b. 66 Solve 698948*p + 14151 = 698789*p for p. -89 Solve 512*d + 3718*d - 515750 = 104*d for d. 125 Solve -61*w - 920 = -365*w - 13384 for w. -41 Solve 7443 - 47767 = 593*q for q. -68 Solve 489*q - 10165 - 14115 = 39885 - 2551 for q. 126 Solve -275*a + 28176 = -450*a - 664*a - 31393 for a. -71 Solve 1699*g + 21888 + 45606 = 504*g + 5354 for g. -52 Solve -111*s + 62371 = -585*s - 33*s + 17248 for s. -89 Solve 7332*d + 10224*d = -2622*d + 2562606 for d. 127 Solve -102114 - 25434 = -3543*o for o. 36 Solve 2924*q + 107355 - 37564 = -41321 for q. -38 Solve 461*n + 28223 + 12457 = 44*n - 35*n for n. -90 Solve 441*u = -989*u + 328*u + 20938 for u. 19 Solve 507*h = 3200*h + 35830 + 85355 for h. -45 Solve -20*p + 38*p + 2790 = -49*p - 23*p for p. -31 Solve -75*z - 6338 = 883*z - 19750 for z. 14 Solve -97*b = -28580 + 31005 for b. -25 Solve 1352*p - 572*p = 2763*p + 2562*p - 118170 for p. 26 Solve -607*i - 5498 = 13926 for i. -32 Solve 15651 = 486*p + 11277 for p. 9 Solve 80*q + 47*q = -121*q - 437 - 18659 for q. -77 Solve 0 = -214*m + 66*m - 5624 for m. -38 Solve 93*k + 17208 + 17129 = 33965 for k. -4 Solve -747 - 4467 = -42*s - 1014 for s. 100 Solve -1499*z - 65050 = 2223*z - 1120*z for z. -25 Solve -811 = 119*d - 216 for d. -5 Solve 1118*d - 849948 = -836532 for d. 12 Solve 213*p - 2872 = 95 + 867 for p. 18 Solve 1930*p = -2074*p - 1824*p - 622*p + 387000 for p. 60 Solve 977*m + 14279 + 8192 = 0 for m. -23 Solve 1463 = 295*z + 1415 - 7032 for z. 24 Solve 36827*g - 37594*g - 1534 = 0 for g. -2 Solve 264*l + 1302 - 906 = -2237 - 2383 for l. -19 Solve 297*s = 26*s + 2709 + 2169 for s. 18 Solve -2194 - 2137 = 39*x + 53*x - 31*x for x. -71 Solve 124 + 3313 + 3526 = -211*y for y. -33 Solve 456443*h = 453970*h - 54406 for h. -22 Solve 3001*s - 4860 = 3082*s for s. -60 Solve 225*x - 9764 = 3061 for x. 57 Solve 102*t + 2110 = -149*t - 327 - 1579 for t. -16 Solve -158*m + 3089 = -379 - 2599 - 95 for m. 39 Solve -4423*u + 1734*u - 65324 + 18865 - 98747 = 0 for u. -54 Solve 64 = -9520*s + 9538*s + 82 for s. -1 Solve 55137 - 73096 = 732*c + 200*c + 91085 for c. -117 Solve 57612 = -115*a + 53702 for a. -34 Solve -1734*b - 1951*b = 25795 for b. -7 Solve -87*q = 534*q + 49*q - 67670 for q. 101 Solve -100*j = 85*j - 261*j + 8740 for j. 115 Solve 0 = -411*y - 312*y + 148*y + 67*y for y. 0 Solve -14*a + 546*a = -190*a + 3153 - 45751 for a. -59 Solve -7240*h + 20491 + 10492 + 17677 = 870*h for h. 6 Solve 3611 - 1037 = 143*i for i. 18 Solve 7650 = 61*n - 5*n - 189*n + 1665 for n. -45 Solve 18*y = -175*y - 61*y + 94*y - 10240 for y. -64 Solve 710573 - 241899 = 5266*y for y. 89 Solve -1570*z - 421*z - 11466 = -45313 for z. 17 Solve -3*a - 54*a = 8*a + 130 for a. -2 Solve 566846 = -443*i + 588110 for i. 48 Solve 0 = -49358*m + 48780*m - 22542 for m. -39 Solve -9251*l = -8646*l - 40341 + 2226 for l. 63 Solve -167886*d + 168097*d - 2423 - 6650 = 0 for d. 43 Solve -177*c - 291*c - 6723 = -142*c + 5991 for c. -39 Solve -608249*k + 608314*k - 4095 = 0 for k. 63 Solve 287*r + 758 - 10509 = -334*r + 2669 for r. 20 Solve -2888*r + 4*r + 153863 = 47155 for r. 37 Solve 8*n + 139*n + 732533 - 371529 = 366296 for n. 36 Solve -2385*o = -759*o - 758*o - 756*o for o. 0 Solve -1803 = -78*x - 72*x + 6167 - 170 for x. 52 Solve -4093*q - 262913 = -7796*q for q. 71 Solve 75894*p + 3740 = 75962*p for p. 55 Solve 6324*w + 10958 = 1626*w - 719 + 53959 for w. 9 Solve -2107*f + 54373 - 19456 + 73367 - 827 = 0 for f. 51 Solve -110*i - 104*i + 164*i - 7200 = 0 for i. -144 Solve 1306*w + 949 - 458 = -11263 for w. -9 Solve 28*u + 54*u + 27 = 1905 + 664 for u. 31 Solve 6422 = -99*g - 83*g - 144*g - 12*g for g. -19 Solve 0 = -523*z - 1685*z + 59*z - 152579 for z. -71 Solve 0 = 955*k - 210*k + 25330 for k. -34 Solve 673*x = -775*x + 111496 for x. 77 Solve 2574144*j - 2574190*j + 2898 = 0 for j. 63 Solve -1590*u + 29694 = 4254 for u. 16 Solve 56158 - 35244 = -2054*x - 92056 for x. -55 Solve -63*m + 30 - 196 - 1341 = 2399 for m. -62
{ "pile_set_name": "DM Mathematics" }
wer of 1/2, to the nearest integer? 30 What is 101071 to the power of 1/3, to the nearest integer? 47 What is the square root of 4466 to the nearest integer? 67 What is the square root of 13579 to the nearest integer? 117 What is the cube root of 27785 to the nearest integer? 30 What is 5960 to the power of 1/3, to the nearest integer? 18 What is 3529 to the power of 1/4, to the nearest integer? 8 What is the sixth root of 6607 to the nearest integer? 4 What is 6449 to the power of 1/2, to the nearest integer? 80 What is 103071 to the power of 1/3, to the nearest integer? 47 What is the cube root of 29204 to the nearest integer? 31 What is 81522 to the power of 1/3, to the nearest integer? 43 What is the square root of 5466 to the nearest integer? 74 What is 1924 to the power of 1/2, to the nearest integer? 44 What is 4798 to the power of 1/3, to the nearest integer? 17 What is the fifth root of 168 to the nearest integer? 3 What is the tenth root of 156168 to the nearest integer? 3 What is the fourth root of 1789 to the nearest integer? 7 What is 3674 to the power of 1/2, to the nearest integer? 61 What is 10920 to the power of 1/10, to the nearest integer? 3 What is 398 to the power of 1/9, to the nearest integer? 2 What is the cube root of 5179 to the nearest integer? 17 What is 947 to the power of 1/2, to the nearest integer? 31 What is 3104 to the power of 1/3, to the nearest integer? 15 What is the square root of 113068 to the nearest integer? 336 What is 1037 to the power of 1/3, to the nearest integer? 10 What is the third root of 109 to the nearest integer? 5 What is 22061 to the power of 1/3, to the nearest integer? 28 What is 4635 to the power of 1/3, to the nearest integer? 17 What is 99 to the power of 1/2, to the nearest integer? 10 What is 13659 to the power of 1/5, to the nearest integer? 7 What is the ninth root of 1510 to the nearest integer? 2 What is the ninth root of 4720 to the nearest integer? 3 What is the square root of 88358 to the nearest integer? 297 What is 3457 to the power of 1/2, to the nearest integer? 59 What is 29815 to the power of 1/3, to the nearest integer? 31 What is 17438 to the power of 1/2, to the nearest integer? 132 What is 13205 to the power of 1/9, to the nearest integer? 3 What is 2193 to the power of 1/5, to the nearest integer? 5 What is the eighth root of 12097 to the nearest integer? 3 What is the cube root of 7205 to the nearest integer? 19 What is 503 to the power of 1/5, to the nearest integer? 3 What is the third root of 1996 to the nearest integer? 13 What is the cube root of 2711 to the nearest integer? 14 What is 13351 to the power of 1/10, to the nearest integer? 3 What is the third root of 227 to the nearest integer? 6 What is the square root of 81293 to the nearest integer? 285 What is the third root of 1055 to the nearest integer? 10 What is 6226 to the power of 1/9, to the nearest integer? 3 What is 140055 to the power of 1/6, to the nearest integer? 7 What is 8578 to the power of 1/2, to the nearest integer? 93 What is the ninth root of 873 to the nearest integer? 2 What is the square root of 1592 to the nearest integer? 40 What is 30536 to the power of 1/6, to the nearest integer? 6 What is the cube root of 231 to the nearest integer? 6 What is the square root of 39003 to the nearest integer? 197 What is the square root of 8380 to the nearest integer? 92 What is the fourth root of 19178 to the nearest integer? 12 What is the sixth root of 1669 to the nearest integer? 3 What is 2479 to the power of 1/2, to the nearest integer? 50 What is the cube root of 2828 to the nearest integer? 14 What is the cube root of 16529 to the nearest integer? 25 What is the sixth root of 3209 to the nearest integer? 4 What is the cube root of 2619 to the nearest integer? 14 What is the square root of 5683 to the nearest integer? 75 What is 51417 to the power of 1/2, to the nearest integer? 227 What is 7714 to the power of 1/3, to the nearest integer? 20 What is the square root of 18506 to the nearest integer? 136 What is 2357 to the power of 1/2, to the nearest integer? 49 What is 85827 to the power of 1/8, to the nearest integer? 4 What is the square root of 634 to the nearest integer? 25 What is 5529 to the power of 1/3, to the nearest integer? 18 What is the third root of 70219 to the nearest integer? 41 What is the cube root of 45 to the nearest integer? 4 What is the cube root of 910 to the nearest integer? 10 What is 891 to the power of 1/2, to the nearest integer? 30 What is 847 to the power of 1/10, to the nearest integer? 2 What is the square root of 128990 to the nearest integer? 359 What is the ninth root of 22455 to the nearest integer? 3 What is the third root of 1532 to the nearest integer? 12 What is the third root of 13814 to the nearest integer? 24 What is 78162 to the power of 1/2, to the nearest integer? 280 What is the square root of 14207 to the nearest integer? 119 What is 39624 to the power of 1/9, to the nearest integer? 3 What is the seventh root of 27423 to the nearest integer? 4 What is 5162 to the power of 1/3, to the nearest integer? 17 What is the third root of 6204 to the nearest integer? 18 What is 724 to the power of 1/6, to the nearest integer? 3 What is the square root of 1943 to the nearest integer? 44 What is the cube root of 43933 to the nearest integer? 35 What is the square root of 3325 to the nearest integer? 58 What is 144632 to the power of 1/8, to the nearest integer? 4 What is the cube root of 11382 to the nearest integer? 22 What is 98776 to the power of 1/7, to the nearest integer? 5 What is the ninth root of 891 to the nearest integer? 2 What is the third root of 61 to the nearest integer? 4 What is the eighth root of 5002 to the nearest integer? 3 What is 28397 to the power of 1/2, to the nearest integer? 169 What is the third root of 1220 to the nearest integer? 11 What is the third root of 180218 to the nearest integer? 56 What is the square root of 1290 to the nearest integer? 36 What is 800 to the power of 1/3, to the nearest integer? 9 What is the square root of 713 to the nearest integer? 27 What is 1231 to the power of 1/6, to the nearest integer? 3 What is the fourth root of 22547 to the nearest integer? 12 What is the cube root of 73970 to the nearest integer? 42 What is 4331 to the power of 1/3, to the nearest integer? 16 What is the square root of 70971 to the nearest integer? 266 What is the cube root of 34677 to the nearest integer? 33 What is the eighth root of 2955 to the nearest integer? 3 What is 3944 to the power of 1/3, to the nearest integer? 16 What is 247 to the power of 1/6, to the nearest integer? 3 What is the third root of 18397 to the nearest integer? 26 What is 147931 to the power of 1/7, to the nearest integer? 5 What is the third root of 1794 to the nearest integer? 12 What is the fifth root of 72086 to the nearest integer? 9 What is 776 to the power of 1/2, to the nearest integer? 28 What is the ninth root of 2479 to the nearest integer? 2 What is the cube root of 60027 to the nearest integer? 39 What is the square root of 62979 to the nearest integer? 251 What is the square root of 595 to the nearest integer? 24 What is 2211 to the power of 1/2, to the nearest integer? 47 What is the third root of 2066 to the nearest integer? 13 What is the tenth root of 8136 to the nearest integer? 2 What is the cube root of 2763 to the nearest integer? 14 What is the ninth root of 29488 to the nearest integer? 3 What is 4575 to the power of 1/10, to the nearest integer? 2 What is the fourth root of 13821 to the nearest integer? 11 What is 5540 to the power of 1/3, to the nearest integer? 18 What is 18 to the power of 1/6, to the nearest integer? 2 What is 143070 to the power of 1/6, to the nearest integer? 7 What is 88035 to the power of 1/2, to the nearest integer? 297 What is the fifth root of 60 to the nearest integer? 2 What is 901 to the power of 1/2, to the nearest integer? 30 What is the seventh root of 4562 to the nearest integer? 3 What is the ninth root of 454 to the nearest integer? 2 What is the ninth root of 163088 to the nearest integer? 4 What is the cube root of 5058 to the nearest integer? 17 What is 29936 to the
{ "pile_set_name": "DM Mathematics" }
18. 14 Calculate the remainder when 17103 is divided by 1227. 1152 What is the remainder when 10734 is divided by 103? 22 What is the remainder when 5146 is divided by 178? 162 Calculate the remainder when 20589 is divided by 6860. 9 What is the remainder when 662455 is divided by 857? 851 Calculate the remainder when 6489 is divided by 550. 439 Calculate the remainder when 2100 is divided by 804. 492 Calculate the remainder when 2352 is divided by 1167. 18 Calculate the remainder when 207193 is divided by 169. 168 What is the remainder when 4626 is divided by 467? 423 What is the remainder when 3845 is divided by 61? 2 What is the remainder when 9470 is divided by 3112? 134 Calculate the remainder when 185564 is divided by 261. 254 What is the remainder when 56289 is divided by 114? 87 Calculate the remainder when 5270 is divided by 4428. 842 Calculate the remainder when 8748 is divided by 70. 68 Calculate the remainder when 1145 is divided by 866. 279 What is the remainder when 5010 is divided by 551? 51 What is the remainder when 439 is divided by 121? 76 What is the remainder when 2499 is divided by 195? 159 Calculate the remainder when 34370 is divided by 22. 6 What is the remainder when 196721 is divided by 274? 263 What is the remainder when 3178 is divided by 1270? 638 What is the remainder when 6497 is divided by 495? 62 What is the remainder when 707071 is divided by 12? 7 Calculate the remainder when 6049 is divided by 1510. 9 Calculate the remainder when 201 is divided by 100. 1 What is the remainder when 192377 is divided by 556? 1 What is the remainder when 1284 is divided by 15? 9 What is the remainder when 137391 is divided by 133? 2 What is the remainder when 6922 is divided by 89? 69 Calculate the remainder when 16863 is divided by 187. 33 Calculate the remainder when 63673 is divided by 320. 313 What is the remainder when 8099 is divided by 4020? 59 What is the remainder when 138930 is divided by 103? 86 What is the remainder when 1351853 is divided by 663? 659 Calculate the remainder when 2618 is divided by 288. 26 Calculate the remainder when 78495 is divided by 18. 15 What is the remainder when 179409 is divided by 481? 477 Calculate the remainder when 133118 is divided by 85. 8 Calculate the remainder when 40071 is divided by 12951. 1218 Calculate the remainder when 5799 is divided by 735. 654 Calculate the remainder when 54780 is divided by 26. 24 What is the remainder when 133202 is divided by 123? 116 Calculate the remainder when 2899 is divided by 880. 259 What is the remainder when 540562 is divided by 237? 202 Calculate the remainder when 99861 is divided by 221. 190 Calculate the remainder when 1917 is divided by 379. 22 Calculate the remainder when 2655 is divided by 101. 29 Calculate the remainder when 39767 is divided by 1986. 47 Calculate the remainder when 526059 is divided by 308. 303 Calculate the remainder when 126039 is divided by 14. 11 What is the remainder when 3239206 is divided by 65? 61 Calculate the remainder when 3384 is divided by 43. 30 What is the remainder when 16057 is divided by 759? 118 Calculate the remainder when 1642114 is divided by 339. 337 What is the remainder when 10154 is divided by 1015? 4 What is the remainder when 19667 is divided by 172? 59 What is the remainder when 98100 is divided by 633? 618 Calculate the remainder when 564955 is divided by 22. 17 What is the remainder when 55590 is divided by 43? 34 What is the remainder when 57969 is divided by 11593? 4 Calculate the remainder when 278187 is divided by 53. 43 Calculate the remainder when 1232 is divided by 1126. 106 What is the remainder when 2924 is divided by 14? 12 What is the remainder when 3724 is divided by 909? 88 What is the remainder when 989832 is divided by 810? 12 What is the remainder when 21535 is divided by 7168? 31 What is the remainder when 185143 is divided by 1447? 1374 What is the remainder when 2563 is divided by 2560? 3 What is the remainder when 24799 is divided by 753? 703 Calculate the remainder when 2027 is divided by 126. 11 What is the remainder when 80264 is divided by 11? 8 What is the remainder when 32155 is divided by 5359? 1 What is the remainder when 74382 is divided by 18592? 14 Calculate the remainder when 14363 is divided by 145. 8 What is the remainder when 303874 is divided by 7? 4 Calculate the remainder when 39973 is divided by 6659. 19 Calculate the remainder when 4136 is divided by 504. 104 What is the remainder when 8784 is divided by 169? 165 What is the remainder when 2393619 is divided by 11? 8 Calculate the remainder when 1966 is divided by 945. 76 What is the remainder when 1648 is divided by 349? 252 What is the remainder when 3819 is divided by 3810? 9 What is the remainder when 153888 is divided by 121? 97 Calculate the remainder when 7939016 is divided by 11. 8 What is the remainder when 122725 is divided by 61359? 7 What is the remainder when 611 is divided by 155? 146 What is the remainder when 13996289 is divided by 2409? 2408 What is the remainder when 39879 is divided by 6? 3 What is the remainder when 19880 is divided by 1453? 991 Calculate the remainder when 169258 is divided by 186. 184 What is the remainder when 9558 is divided by 434? 10 Calculate the remainder when 2830 is divided by 124. 102 What is the remainder when 345046 is divided by 526? 516 What is the remainder when 45925 is divided by 56? 5 Calculate the remainder when 218219 is divided by 913. 12 Calculate the remainder when 42292 is divided by 23. 18 What is the remainder when 41170 is divided by 146? 144 Calculate the remainder when 1606 is divided by 638. 330 Calculate the remainder when 14049 is divided by 589. 502 What is the remainder when 30061 is divided by 1306? 23 What is the remainder when 58102 is divided by 54? 52 What is the remainder when 746452 is divided by 82939? 1 What is the remainder when 1213602 is divided by 149? 146 What is the remainder when 22273 is divided by 293? 5 What is the remainder when 906 is divided by 898? 8 What is the remainder when 110046 is divided by 1342? 2 What is the remainder when 25311 is divided by 87? 81 What is the remainder when 7813 is divided by 340? 333 Calculate the remainder when 28834 is divided by 27. 25 What is the remainder when 82764 is divided by 2672? 2604 What is the remainder when 17355 is divided by 141? 12 Calculate the remainder when 55966 is divided by 25. 16 What is the remainder when 1807 is divided by 119? 22 Calculate the remainder when 123225 is divided by 1895. 50 What is the remainder when 1086 is divided by 106? 26 Calculate the remainder when 12981 is divided by 17. 10 Calculate the remainder when 214206 is divided by 71402. 0 Calculate the remainder when 25796 is divided by 600. 596 What is the remainder when 17340 is divided by 667? 665 Calculate the remainder when 4820 is divided by 1085. 480 Calculate the remainder when 130718 is divided by 38. 36 Calculate the remainder when 490 is divided by 148. 46 What is the remainder when 1518 is divided by 84? 6 Calculate the remainder when 4404 is divided by 4291. 113 What is the remainder when 673419 is divided by 199? 3 Calculate the remainder when 13613 is divided by 4512. 77 What is the remainder when 321380 is divided by 263? 257 What is the remainder when 167495 is divided by 92? 55 Calculate the remainder when 4609 is divided by 50. 9 What is the remainder when 89392 is divided by 181? 159 Calculate the remainder when 26321 is divided by 399. 386 What is the remainder when 1142653 is divided by 95221? 1 What is the remainder when 209404 is divided by 387? 37 Calculate the remainder when 13608 is divided by 366. 66 Calculate the remainder when 205406 is divided by 2162. 16 Calculate the remainder when 187404 is divided by 1453. 1420 What is the remainder when 2048 is divided by 378? 158 Calculate the remainder when 2303 is divided by 1151. 1 What is the remainder when 8042 is divided by 3966? 110 Calculate the remainder when 4600 is divided by 1425. 325 What is the remainder when 159438 is divided by 312? 6 Calculate the remainder when 901946 is divided by 35. 31 Calculate the remainder when 38622 is divided by 6. 0 What is the remainder when 4118 is divided by 928?
{ "pile_set_name": "DM Mathematics" }
v**2 + 132*v**2 - 62*v**2. v**2 Collect the terms in 5 + 108*q + 118*q - 214*q. 12*q + 5 Collect the terms in 8*t**2 + 103*t - 49*t - 54*t - 2*t**2. 6*t**2 Collect the terms in -87*z**3 - 84*z**3 - 84*z**3 + 260*z**3. 5*z**3 Collect the terms in q**3 - 3*q**3 + 5*q**3 - 2*q**3. q**3 Collect the terms in 4*p**2 - p**2 + 15*p**2 + 14*p**2. 32*p**2 Collect the terms in 159*t - 4 - 1 + 3. 159*t - 2 Collect the terms in 17*q**2 - 2*q + 0*q**2 + 2*q. 17*q**2 Collect the terms in 37*g + 215 - 42*g - 215. -5*g Collect the terms in -2*p + 26 - 26. -2*p Collect the terms in 21*d - 3*d - 9*d - 10*d. -d Collect the terms in -3*q**2 + 0 - 3*q**2 + 3*q**2 + 0. -3*q**2 Collect the terms in t + 2*t + 66 - 7*t. -4*t + 66 Collect the terms in 0*k**2 - 39 - 2*k**2 - 10 - 43. -2*k**2 - 92 Collect the terms in -150 + 150 - 4*j**2 + 2*j**2. -2*j**2 Collect the terms in -27*r - 28*r - 36*r - 27*r + 117*r. -r Collect the terms in -2*g**2 - 5*g**3 + 80*g**2 + 4*g**3. -g**3 + 78*g**2 Collect the terms in -82*m + 169*m + 106*m + 3. 193*m + 3 Collect the terms in 8*h**3 + 8*h**3 + 6*h**3. 22*h**3 Collect the terms in -2*m**2 - 373*m + 373*m. -2*m**2 Collect the terms in -604 + 3*u**2 + 302 + 302. 3*u**2 Collect the terms in 11*w**3 - 53*w**3 + 18*w**3 + 22*w**3. -2*w**3 Collect the terms in 485*g + 2 + 1 - 3 + 2. 485*g + 2 Collect the terms in 5*n**2 - 1848*n + 1848*n. 5*n**2 Collect the terms in 464*w**3 + 340 - 447*w**3 - 340. 17*w**3 Collect the terms in 147*c - 74*c - 69*c. 4*c Collect the terms in -3*f + 8*f - 27*f**3 + 6*f**3 - 5*f. -21*f**3 Collect the terms in 5758*r - 2882*r + 0*r**2 - 2876*r + 2*r**2. 2*r**2 Collect the terms in -201 - 178 + f**3 + 379. f**3 Collect the terms in 2*p**3 - 12*p - 1 + 1. 2*p**3 - 12*p Collect the terms in 95*w**3 - 184*w**3 + 90*w**3. w**3 Collect the terms in -10 + 0 + 2*j - 11. 2*j - 21 Collect the terms in 3*c**2 + 547*c - 282*c - 265*c. 3*c**2 Collect the terms in g**2 - 5*g**2 + 4*g**2 + 20*g**3. 20*g**3 Collect the terms in 84*p**3 - 1152*p**3 - 3267*p**3. -4335*p**3 Collect the terms in 5*k - 4*k - 3*k + 31 + k. -k + 31 Collect the terms in 4*p + 2*p**2 + p**2 + 1 - 1. 3*p**2 + 4*p Collect the terms in 4*u**2 + 5*u**2 - 13*u**2 - 7*u**2 - 8*u**2. -19*u**2 Collect the terms in 14*c**3 + 14*c**3 - 24*c**3. 4*c**3 Collect the terms in 55*z + 53*z - 8*z - 19*z. 81*z Collect the terms in 3*i + i + 0*i + 4*i + 3*i**2. 3*i**2 + 8*i Collect the terms in 0 - 5 + 5 - 20*k + 22*k. 2*k Collect the terms in 150*m**2 + 254*m**2 + 221*m**2. 625*m**2 Collect the terms in -3*i**3 + 5*i**3 - 196*i**2 + 196*i**2. 2*i**3 Collect the terms in 8*p + 2245 - 2245. 8*p Collect the terms in 152*p**3 - 81*p**3 - 75*p**3. -4*p**3 Collect the terms in -35 + 35 + 524*v. 524*v Collect the terms in -8*g**3 + 80 - 80. -8*g**3 Collect the terms in 41*k**3 - 25*k**3 - 27*k**3. -11*k**3 Collect the terms in -924*y + 0 + 0. -924*y Collect the terms in -10679*k**2 + 3*k**3 + 10679*k**2. 3*k**3 Collect the terms in -22*m + 7*m**2 - 22*m + 44*m. 7*m**2 Collect the terms in -162*y**2 - 4 + 58*y**2 + 4. -104*y**2 Collect the terms in 20*z**2 + 30*z**2 - 6*z**2. 44*z**2 Collect the terms in -5*a**2 + 3*a**2 - 10*a**2 + 13*a**2. a**2 Collect the terms in 10*o + 19*o + 10*o - 11*o. 28*o Collect the terms in 46*w**3 - 31*w**2 + 31*w**2. 46*w**3 Collect the terms in 145*x**2 - 76*x**2 - 83*x**2. -14*x**2 Collect the terms in -9 - 10 + 33*p + 19. 33*p Collect the terms in 1716416 + 4*z**3 - 1716416. 4*z**3 Collect the terms in y + 142*y**2 - y - 60*y**2. 82*y**2 Collect the terms in i + 0*i - 3*i**3 + i + i**3. -2*i**3 + 2*i Collect the terms in 0*v + 0*v + 1975*v**2. 1975*v**2 Collect the terms in -141*m**3 - 107*m**3 - 183*m**3. -431*m**3 Collect the terms in 5*z - 14*z + 7*z + 26*z. 24*z Collect the terms in -15*h + 18*h - 4*h. -h Collect the terms in 38*a**2 - 72*a**2 + 36*a**2 + 3*a**3 - 2*a**3. a**3 + 2*a**2 Collect the terms in -3*t**2 + 124 - 124. -3*t**2 Collect the terms in -1168*q**3 + 3*q**2 - 3*q**2 + 1164*q**3. -4*q**3 Collect the terms in -3*d + 2 + 0*d - 7*d. -10*d + 2 Collect the terms in 1806*q**2 - 1806*q**2 + q**3 + q**3. 2*q**3 Collect the terms in 0*v - 4*v + 7*v + 0*v. 3*v Collect the terms in 3*i**2 + 120*i - 120*i - 2*i**2. i**2 Collect the terms in -22*g**2 + 27*g**2 + 39*g**2. 44*g**2 Collect the terms in 3*g**3 - 10*g**3 + 9*g**3. 2*g**3 Collect the terms in -20960*b - 4*b**2 + 20960*b. -4*b**2 Collect the terms in 15496*o**2 - 7*o**3 - 15496*o**2. -7*o**3 Collect the terms in 26*q - 12*q + 32*q. 46*q Collect the terms in -4*d**2 + 10*d**2 + 2*d**3 - 6*d**2 + 25*d**3. 27*d**3 Collect the terms in 7*b**3 - 12 - 2*b**3 + 5 + 7. 5*b**3 Collect the terms in -13*h + 15*h - 6 + 0. 2*h - 6 Collect the terms in 346*q**2 + 2*q**3 - 346*q**2. 2*q**3 Collect the terms in 130*y**2 - 2230 + 2230. 130*y**2 Collect the terms in 26*x - 46*x + 23*x. 3*x Collect the terms in 771*k**2 + 0*k + 0*k - 774*k**2. -3*k**2 Collect the terms in -r**2 - 11*r**2 + 2*r**2 - 4*r**2. -14*r**2 Collect the terms in -2*b**3 - 4*b**3 - 4*b**3. -10*b**3 Collect the terms in -11 + 17 - 6 - 22*m**3. -22*m**3 Collect the terms in -7*c + c - c. -7*c Collect the terms in 2*h**3 + 7*h**3 - 3*h**2 - 6*h**2 - 12*h**3. -3*h**3 - 9*h**2 Collect the terms in -173*t - 764*t - 406*t. -1343*t Collect the terms in 88*p**2 - 43*p**2 - 49*p**2. -4*p**2 Collect the terms in -14*l**2 + 34*l**2 - 9*l**2 - 14*l**2. -3*l**2 Collect the terms in 10*f**2 - 10*f**2 - 3*f**3 + 31*f**3. 28*f**3 Collect the terms in 9*a + 9*a - 9*a. 9*a Collect the terms in 11*i - 5*i**2 - 9*i - 12*i - 19*i. -5*i**2 - 29*i Collect the terms in 17*t + 5*t + 6*t. 28*t Collect the terms in 32*m - 81*m + 47*m. -2*m Collect the terms in -2*j**3 - 20 + 20. -2*j**3 Collect the terms in 113*o**3 + 47*o**3 + 6*o**3. 166*o**3 Collect the terms in -11*f + f + 7*f. -3*f Collect the terms in 4*f**3 + 36 - 8*f**3 - 36. -4*f**3 Collect the terms in 2*v + 5*v + v + 8*v. 16*v Collect the terms in 17687 - 2*n - 17687. -2*n Collect the terms in -11*c**2 - 28*c + 21*c**2 - 6*c**2 - 6*c**2. -2*c**2 - 28*c Collect the terms in 5*p**3 + 6*p**3 + p**3. 12*p**3 Collect the terms in -1 - 65386*c**2 + 1 + 65391*c**2. 5*c**2 Collect the terms in -160 + 160 + 6*p. 6*p Collect the terms in 7*f**2 - 2*f**3 + 7*f - 7*f. -2*f**3 + 7*f**2 Collect the terms in 2*n - 13*n**2 - 2*n - 2 - n**2. -14*n**2 - 2 Collect the terms in j**2 - 3 + 3 + 10*j**2. 11*j**2 Collect the terms in -6*h + 4*h + 6*h. 4*h Collect the terms in 37*w**3 - 28*w**3 + 18*w**3 + w + 2*w. 27*w**3 + 3*w Collect the terms in -19923*y**2 + 2*y**3 + 19923*y**2. 2*y**3 Collect the terms in 131*v + 128*v - 256*v. 3*v Collect the terms in -1 + 144*l + 0 + 0. 144*l - 1 Collect the terms in 29 - 29 - 6*q**3 - 3*q**3. -9*q**3 Collect the terms in -64*y**3 - 20*y**3 + 50*y**3. -34*y**3 Collect the terms in -73*s - 77*s - 71*s + 293*s - 74*s. -2*s Collect the terms in n**3 - 294 + 294 - 2*n + 18*n. n**3 + 16*n Collect the terms in 25*r**2 - 3442*r + 3442*r. 25*r**2 Collect the terms in -a**2 - 7*a**3 + a**2. -7*a**3 Collect the terms in 165 - 36 + c + 0*c. c + 129 Collect the terms in 243*p - 2717*p - 1318*p. -3792*p Collect the terms in -18*t + 3 + 4 - 14*t. -32*t + 7 Collect the terms in 2*x - 3*x - 250*x**2 + 248*x**2 + x. -2*x**2 Collect the terms in -16*v**3 + 35*v**3 - 28*v**3. -9*v**3 Collect the terms in -d**2 + 4*d**2 + 0*d**2. 3*d**2 Collect the terms in t - 21 + 21. t Collect the terms in -7*k**3 + 2*k**3 + 5*k**3 + k**3. k**3 Collect the terms in -2*g**3 + 16*g - 15*g - 6*g**3. -8*g**3 + g Collect the terms in -5*d - 9*d + 17*d. 3*d Collect the terms in -901*a**3 + 5028*a**3 + 283*a**3. 4410*a**3 Collect the terms in -1 - f + 4*f + 7. 3*f + 6 Collect the terms in -4 + u**3 - 3 + 4 + u**3. 2*u**3 - 3 Collect the terms in 1 - 1 + 800*q**2 - 794*q**2. 6*q**2 Collect the terms in -p**3 - 5404 + 5404. -p**3 Collect the terms in v + v - 2*v - 80*v**3. -80*v**3 Collect the terms in 13 - 26 - 6*b**3 + 13. -6*b**3 Collect the terms in -6*p**2 - 4*p**2 + 13*p**2. 3*p**2 Collect the terms in 21*s**3 - s**3 - 22*s**3. -2*s**3 Collect the terms in 0*b - 7*b - 24*b. -31*b Collect the terms in 31*k - 10*k - 9*k - 6*k - 8*k. -2*k Collect the terms in 2*w + 0*w + 2*w - w. 3*w Collect the terms in -5*f
{ "pile_set_name": "DM Mathematics" }
889/5 -9065 divided by 1813 -5 What is -4857 divided by -175? 4857/175 Divide 603307 by 5339. 113 Calculate 0 divided by -5798. 0 Calculate 736506 divided by -3. -245502 Calculate 7193 divided by -41. -7193/41 4814478 divided by -2034 -2367 Divide -123278 by -2. 61639 101 divided by -4385 -101/4385 Calculate -18268 divided by -9134. 2 Calculate 12705 divided by 1. 12705 Divide -4547982 by 4. -2273991/2 Calculate 4883600 divided by 232. 21050 5140 divided by 106 2570/53 40 divided by 5 8 407592 divided by 12 33966 Divide 488748 by 4. 122187 What is -2771998 divided by 1385999? -2 Calculate -43 divided by -5857. 43/5857 Calculate 2322612 divided by 6. 387102 729146 divided by -242 -3013 Calculate 40988070 divided by 5. 8197614 25179 divided by -327 -77 Calculate -27195 divided by -111. 245 -4 divided by -8473 4/8473 Calculate 311960 divided by 5672. 55 -110112 divided by -74 1488 Divide -671304 by 3. -223768 -2587 divided by -93 2587/93 What is -671415 divided by -134283? 5 Calculate -1840 divided by -920. 2 -140 divided by 4 -35 Calculate 3184092 divided by -796023. -4 Divide -355 by 6. -355/6 Calculate -35090 divided by -3190. 11 Divide -428488 by 1. -428488 Divide -73870 by -166. 445 What is -9582 divided by -3194? 3 What is -4 divided by 13989? -4/13989 6441052 divided by -4 -1610263 Calculate 4599387 divided by -9. -511043 Calculate -238 divided by -283. 238/283 What is 38950 divided by -2? -19475 -100640 divided by 592 -170 Calculate -29305 divided by -1. 29305 What is -1880 divided by -1066? 940/533 2 divided by -23628 -1/11814 What is 0 divided by -23182? 0 What is 100055 divided by 4? 100055/4 Calculate 1846 divided by -18. -923/9 What is 358088 divided by 179044? 2 0 divided by -29574 0 Divide 619 by -13. -619/13 Divide -473700 by -10. 47370 What is 62905 divided by -2735? -23 61362 divided by 61362 1 What is 301840 divided by -560? -539 Calculate -152 divided by -348. 38/87 What is -70599 divided by -1? 70599 What is -26967 divided by 26967? -1 Calculate -1 divided by 58546. -1/58546 Divide 6391370 by 1278274. 5 -13117 divided by -145 13117/145 -424862 divided by -2 212431 What is 922250 divided by 3689? 250 Divide 16 by -17417. -16/17417 Calculate 1170603 divided by 21. 55743 What is 11 divided by 20062? 11/20062 What is 123955 divided by 5? 24791 What is 539920 divided by 33745? 16 920 divided by 143 920/143 322740 divided by 330 978 36481 divided by 3 36481/3 -6 divided by -52923 2/17641 Calculate 88810 divided by -214. -415 Calculate 7421 divided by 59. 7421/59 -4893499 divided by 3 -4893499/3 Calculate 241 divided by -149. -241/149 78153 divided by 26051 3 -85238 divided by -28 42619/14 Calculate 0 divided by -42204. 0 -76674 divided by -6 12779 Divide -700569 by 8649. -81 Calculate 84175 divided by -7. -12025 Calculate -7735 divided by 13. -595 Divide -2851 by -34. 2851/34 Calculate -2849203 divided by 6. -2849203/6 Divide 2 by 4579. 2/4579 What is -2573 divided by 2573? -1 What is 800680 divided by 10? 80068 Divide -16882 by 2. -8441 916209 divided by 63 14543 Calculate -475 divided by -40. 95/8 Divide 544403 by 544403. 1 Divide -112473 by -6. 37491/2 Divide -132846 by 44282. -3 Calculate -5 divided by 573523. -5/573523 Calculate 1153 divided by -88. -1153/88 -2854800 divided by -468 6100 Divide 21826 by 142. 10913/71 Divide 1729324 by -18797. -92 Calculate -1433 divided by 10. -1433/10 Calculate -7458 divided by 3. -2486 What is 7 divided by 106205? 7/106205 Divide 2 by 727623. 2/727623 Calculate -11886 divided by -14. 849 Divide 1422 by 1. 1422 Divide 707292 by 176823. 4 What is -42 divided by -8253? 2/393 71298 divided by -1 -71298 Divide 17342 by -377. -46 10 divided by 1029 10/1029 Calculate 17550 divided by 158. 8775/79 What is -920004 divided by 4? -230001 Calculate -14975 divided by -2995. 5 Divide -3 by 21784. -3/21784 -206148 divided by 68716 -3 1 divided by 19270 1/19270 Divide 54774 by -6. -9129 2 divided by 90810 1/45405 What is -1652316 divided by -413079? 4 59 divided by 7821 59/7821 -24847 divided by -9 24847/9 Calculate 941346 divided by -93. -10122 -104 divided by -280 13/35 What is -4698 divided by -2? 2349 Calculate 34 divided by 4803. 34/4803 Divide -7 by -374458. 1/53494 Calculate -23964 divided by 7988. -3 -685083 divided by -133 5151 -372810 divided by 43 -8670 Calculate -16492612 divided by 4. -4123153 What is -21142 divided by 53? -21142/53 -914976 divided by -162 5648 217115 divided by 5 43423 What is 3 divided by 13624? 3/13624 19156 divided by -1 -19156 Divide -388728 by 194364. -2 Calculate 1 divided by -62587. -1/62587 What is -3907 divided by 3? -3907/3 Divide 27090 by -1290. -21 Divide -654 by 1538. -327/769 What is 1419040 divided by 2896? 490 -648108 divided by -353 1836 Calculate -172434 divided by -29. 5946 What is 154 divided by 21? 22/3 Divide -444365 by 88873. -5 Calculate 1548963 divided by 1053. 1471 Divide -34065 by 11355. -3 -244 divided by 4302 -122/2151 1052080 divided by -2 -526040 Divide 2109416 by -4. -527354 Calculate -323592 divided by -1668. 194 What is -1822 divided by -178? 911/89 What is 14514 divided by 6? 2419 -1027166 divided by -6 513583/3 Divide 76176 by 368. 207 Calculate -342426 divided by -11046. 31 Calculate -70000 divided by -50. 1400 Calculate 16665 divided by 303. 55 What is 0 divided by 1289? 0 What is 43 divided by -6273? -43/6273 Calculate -29314 divided by 2. -14657 What is -136504 divided by -5? 136504/5 What is -1409000 divided by 6? -704500/3 Calculate 29 divided by -2930. -29/2930 What is 154412 divided by -38603? -4 What is 890298 divided by -9? -98922 What is -485 divided by 594? -485/594 1951 divided by 137 1951/137 Calculate -3 divided by -27474. 1/9158 Calculate -1093224 divided by 808. -1353 Divide -4 by 49409. -4/49409 Divide 340680 by -5. -68136 Divide -49 by 15603. -7/2229 Calculate -164 divided by -193. 164/193 0 divided by -11925 0 Divide 0 by -16270. 0 Calculate 32 divided by 124628. 8/31157 Divide 164 by 12868. 41/3217 -182 divided by -366 91/183 Calculate -16 divided by 50244. -4/12561 -365469 divided by 13 -28113 What is 762 divided by -7? -762/7 Divide -610625 by 122125. -5 What is 3762934 divided by 6? 1881467/3 -3 divided by -58120 3/58120 What is -543222 divided by -6? 90537 Divide 531492 by -177164. -3 What is -498970 divided by 1217? -410 What is 50218 divided by 8? 25109/4 Calculate -54792 divided by 13698. -4 Calculate 6288 divided by -1048. -6 Divide -117548 by 29387. -4 196526 divided by -3 -196526/3 What is -5207 divided by 41? -127 Calculate 18713 divided by 6. 18713/6 Divide -11 by -8453. 11/8453 Calculate -671 divided by -8. 671/8 What is -2 divided by -200542? 1/100271 -519618 divided by -3 173206 Divide -682329 by -17. 40137 Divide -60694 by -30347. 2 Calculate 7970 divided by 1594. 5 Divide 326846 by -1934. -169 Divide -140 by 450. -14/45 Divide 25628 by -149. -172 Calculate 22052 divided by 1. 22052 Calculate -2099 divided by 6. -2099/6 Calculate -3452 divided by 6. -1726/3 What is -155928 divided by 89? -1752 What is -4667 divided by 1? -4667 Calculate 76 divided by -17614. -38/8807 Divide -16599 by 5533. -3 What is 4921242 divided by 6? 820207 Calculate 8889 divided by -15. -2963/5 57 divided by 1017 19/339 -1 divided by -55710 1/55710 Divide -348 by 418. -174/209 Divide -694650 by -6. 115775 What is 171052 divided by -6109? -28 What is -3894 divided by 695? -3894/695 What is -6386 divided by 103? -62 Calculate -26748 divided by -1. 26748 What is 13 divided by 44213? 1/3401 Calculate -36288 divided by 1. -36288 Calculate 1618236 divided by -474. -3414 19414 divided by -19414 -1 Divide -394735 by 394735. -1 -2 divided by 22899 -2/22899 What is -5 divided by -73661? 5/73661 Calculate -2 divided by -15729. 2/15729 168483 divided by 497 339 Divide -52440 by -15. 3496 Divide 110587 by 3. 110587/3 What is 98117 divided by -5? -98117/5 Divide -114 by 2471. -114/2471 Calculate -668 divided by -156. 167/39 -5 divided by -5116 5/5116 What is 191500 divided by -19150? -10 What is -23128 divided by -8? 2891 What is -552892 divided by 138223? -4 Divide -52362 by -9. 5818 What is -75328 divided by -6848? 11 What is 0 divided by -21573? 0 What is -369642 divided by -91? 4062 What is -390794 divided by 195397? -2 Calculate 232622
{ "pile_set_name": "DM Mathematics" }
or of 30 and f. 6 Suppose -5*x + 1 = -4. Suppose 5*v + 0*v = 20. Suppose -v*k - k = -35. What is the greatest common factor of x and k? 1 Let y(t) = -81*t**3 - t. Let w be y(-1). Let k = w - 293. Let x = -139 - k. Calculate the highest common divisor of 8 and x. 8 Let z be -1 + (-5)/(10/(-18)). What is the highest common factor of 8 and z? 8 Let k(z) = -44*z. Let m be k(-9). Let n be (-3)/4 - m/(-16). Calculate the greatest common divisor of n and 8. 8 Suppose -5*n + 26 = -2*h - 29, -5*n = 3*h - 30. Calculate the greatest common divisor of n and 90. 9 Let i(l) = 68*l + 3. Let z be i(3). Let q = 280 - 165. Suppose 5*p + 0*p = q. What is the greatest common factor of p and z? 23 Suppose -3*z + 0*z = v - 60, -z = -4*v + 188. What is the highest common factor of 8 and v? 8 Let x be (-275)/(-50)*12/2. What is the highest common divisor of x and 3? 3 Suppose 5*k - 2*k = 2*v - 42, -2*k + 86 = 5*v. Calculate the highest common factor of v and 108. 18 Let b be (-2)/(-5) - (-1984)/40. Calculate the highest common divisor of 10 and b. 10 Let z = 231 + -110. Suppose -3*d - 5*c = 20, 0*c + 7 = -d - 2*c. Let k = 6 - d. What is the greatest common factor of z and k? 11 Let f be (-90)/27*(-6)/4. Suppose 0 = f*c - 46 - 4. Calculate the highest common factor of 90 and c. 10 Let s = 10 - 11. Let x(z) = -12*z - 1. Let p be x(s). What is the highest common factor of p and 121? 11 Let k be 1*2*3/2. Suppose 4*f = 5 + k. Let n = -11 - -13. What is the highest common factor of f and n? 2 Let n be ((-4)/(-3))/((-18)/(-81)). What is the highest common factor of 15 and n? 3 Suppose -5*r = -10*r. Suppose 0*u - 2*u = r. Suppose 42 = f - u*f. Calculate the highest common factor of f and 14. 14 Let c be ((97 - -1) + -2)*2. Suppose -5*b = -b - c. Let h(x) = x**2 - 3*x - 2. Let j be h(-3). Calculate the greatest common divisor of b and j. 16 Suppose 2*w - 40 = -5*i - 3*w, 5*w + 23 = 2*i. Let p = -21 - -120. What is the highest common divisor of i and p? 9 Let h = -87 + 114. Calculate the greatest common factor of h and 18. 9 Suppose 0 = 3*w - 6*w + 3. Let f be -1*(-24 - w) + 3. Calculate the highest common factor of f and 70. 14 Let a(d) = -d**3 + 2*d**2 + 3*d + 2. Let k be a(3). Calculate the greatest common divisor of 3 and k. 1 Suppose 2*h - 30 - 2 = 0. Suppose 2*i - 20 = h. Calculate the greatest common factor of 36 and i. 18 Suppose 0 = 4*q + 35 - 39. Let z(p) = -p. Let u be z(-2). What is the greatest common divisor of q and u? 1 Let u be (-1 - 0)*58 - 1. Let w = -35 - u. What is the highest common factor of 120 and w? 24 Let x be ((-3)/6)/((-1)/26). What is the greatest common divisor of x and 104? 13 Suppose -12 = -3*z, -v + 11 + 16 = -3*z. Suppose -v - 221 = -5*x. What is the greatest common factor of 13 and x? 13 Let r be 52 + 1 - (-16)/4. What is the highest common divisor of 38 and r? 19 Suppose 5*b - 3*a - 188 = -0*a, 4*b = -3*a + 172. What is the greatest common factor of b and 5? 5 Suppose t + 66 = 4*u - t, t = -2*u + 43. What is the highest common factor of u and 76? 19 Suppose 0 = m - 5*z - 2, -m + 0 + 5 = -4*z. Calculate the greatest common divisor of m and 136. 17 Let p = -3 + 9. Let t = p + -9. Let x(z) = -2*z. Let m be x(t). What is the greatest common divisor of 9 and m? 3 Let i(n) = -n**3 - 5*n**2 - 7. Let w be i(-5). Let c(g) = -24*g - 6. Let l be c(w). What is the greatest common factor of 18 and l? 18 Suppose 3*h = 5*s + 19, -6*s + 11*s - 37 = -4*h. Let v be 2 - 6*(-2)/4. Suppose 120 = -2*t + v*t. Calculate the greatest common factor of t and h. 8 Let w = 3 + -3. Let j be (w + 16)*(0 + -1). Let u = 34 + j. What is the greatest common factor of u and 18? 18 Let i = -4 - -2. Let s be (-40)/(-6) + i/3. Suppose 2*m + 18 = 5*k, 3*m - 19 = -7*k + 3*k. Calculate the highest common factor of k and s. 2 Suppose 0 = 5*s - 7*s + 8. Calculate the highest common divisor of s and 2. 2 Suppose -5*v + 58 = 18. Let x(k) = -3*k**2 + 8*k - 6. Let b be x(9). Let o = -89 - b. Calculate the greatest common divisor of o and v. 8 Let x be 5*4/10 + 1. Suppose -2*z = x*k - 12, -2*z + 6 = -3*k - 6. What is the greatest common divisor of 15 and z? 3 Suppose 8*x - 44 + 4 = 0. Let w(h) = -h**2 + h - 43. Let o be w(0). Let f = x - o. Calculate the greatest common divisor of 12 and f. 12 Let a = 8 - 7. Calculate the greatest common divisor of 11 and a. 1 Suppose 5*w - 48 = 152. Suppose 0 = g - 0*g - w. What is the greatest common divisor of g and 5? 5 Suppose 0 = -4*v + 16 + 68. Suppose -2*p - 3*p = 3*o - 21, -2*p - 2 = -4*o. What is the greatest common divisor of p and v? 3 Suppose 5*n = -3 + 38. Calculate the highest common factor of n and 56. 7 Let v be 1*(2 + -1) + 3. Suppose 4 = 3*m - 26. Calculate the highest common divisor of m and v. 2 Let w = 4 + -4. Let g be w - (-7 - -2)*1. Suppose -g*t + 14 = -41. Calculate the highest common divisor of t and 121. 11 Let c(o) = o - 6. Let r be c(8). Suppose r*d - 3*f = -0*f + 3, -5*d + f + 14 = 0. What is the highest common divisor of d and 6? 3 Suppose s - 5*b = 56, 5*s + 2*b - 105 - 40 = 0. Let m = s + -11. What is the greatest common factor of m and 50? 10 Let b(a) = -a**2 - a + 5. Let x be b(5). Let h be ((-10)/x)/(1/10). Suppose -h*c + 30 = c. What is the greatest common factor of c and 54? 6 Let r be 10/(-15) + (-176)/(-3). Let a be r/4 - 3/(-6). Calculate the highest common factor of a and 120. 15 Suppose 0 = -r + 12 - 2. Let g be 45/6*12/9. What is the greatest common divisor of r and g? 10 Let n be -8 - -3 - -1 - -21. Let i(q) = 46*q + 9. Let f be i(8). Suppose -4*o + j + 492 = -3*j, 5*j = 3*o - f. Calculate the greatest common divisor of n and o. 17 Suppose 4*s + 0*s = 36. Let x = 3 + 0. Let u(q) = -q + 4. Let j be u(x). What is the highest common divisor of s and j? 1 Suppose 3*c - 12 = -0. What is the highest common divisor of c and 12? 4 Suppose w = -4*w + 770. What is the greatest common factor of 14 and w? 14 Suppose 116 = -8*t + 12*t. Calculate the highest common factor of 203 and t. 29 Suppose -2*t + y = 3*t - 17, 5*y - 31 = -4*t. Suppose 0 = t*g + g - 30. Calculate the greatest common divisor of 15 and g. 3 Suppose -5*r - 125 = -2*d, 2*d + 6*r - 7*r = 137. What is the highest common factor of d and 30? 10 Let n(i) = -i**3 + 6*i**2 - 3*i - 4. Suppose 0 = -t + 6*t - 25. Let z be n(t). Calculate the greatest common divisor of z and 6. 6 Suppose -5*s = -0*s - 5*m - 10, s - 2 = -5*m. Suppose -s*p = 5 - 19. Calculate the greatest common factor of 28 and p. 7 Suppose 7*n + 63 = 8*n. Let x be 9 - (-1 + 6/2). Calculate the highest common divisor of x and n. 7 Let z(t) = -t + 7. Let q be z(-9). Calculate the highest common divisor of q and 16. 16 Suppose -5*n = -6 + 1. Let f be 6 + -3 - -2*1. Suppose -2*z + z - 20 = -2*b, -52 = -f*b + 3*z. What is the greatest common factor of b and n? 1 Suppose 4*i - 5*i = -81. What is the highest common divisor of i and 9? 9 Suppose l - 3 = -4*m, 5*l - 72 = 2*m - 3*m. Calculate the greatest common factor of l and 3. 3 Let m = 20 + -15. Suppose -2*h - 3*h - 25 = 0, 0 = -m*x + 2*h + 65. Calculate the greatest common factor of x and 22. 11 Let w(d) = -2 + d**2 + d**2 + 7*d - d**2 - 8*d. Let j be w(-3). What is the highest common factor of 20 and j? 10 Suppose 5*y - 223 - 108 = -4*u, 0 = -2*u + 2*y + 170. Let w be (4/6)/(4/72). What is the highest common divisor of w and u? 12 Suppose -3*n + n + 2 = 0, 2*n = 2*r - 16. Calculate the highest common factor of r and 9. 9 Let s be 10 - 11 - (-4 + 1). Suppose -25 = s*c - 95. Calculate the highest common factor of c and 5. 5 Let w(q) = 4*q + 4. Let c be w(6). Calculate the greatest common divisor of c and 56. 28 Let q(h) = h + 13. Let g be q(-9). Suppose 4 = w, -g*w = 3*i - 38 + 4. Calculate the highest common divisor of i and 12. 6 Let u be 1*22/(1 + 1). Let o = 3 + 118. Calculate the highest common divisor of u and o. 11 Suppose 0 = -4*j - 5*k + 53, -6*k + k + 29 = 2*j. Let w be ((-4)/(-6))/(2/360). What is the greatest common divisor of w and j? 12 Let r(c) = c**3 + 11*c**2 + c + 16. Let x be r(-11). Suppose -x*h = -3*d - 11, 0*h + 3*h - 3*d - 3 = 0. Calculate the greatest common divisor of h and 10. 2 Let z(u) = 17*u - 6. Suppose 2*f + 4*r = 28, -5*f = 4*r - 49 - 3. Let n be z(f). Let h = n + -42. What is the highest common factor of 11 and h? 11
{ "pile_set_name": "DM Mathematics" }
the nearest to s? (a) w (b) 2 (c) -2/5 c Let m = -0.44 + -3.16. Let l = 1.4 - m. Let y = 0.159 - 0.169. What is the nearest to -1 in 2/15, y, l? y Let f = -9 - -9.3. Let u = -185 + 185.173. Let n = -1.173 + u. Which is the closest to 1? (a) f (b) -2 (c) n a Let l be (-1053)/297 + (-4 - -7). Let o = 7 + -6.9. Which is the closest to o? (a) -3 (b) l (c) -3/8 c Let f(r) = r + 19. Let b be f(-14). Let u(h) = h**3 - 4*h**2 - 7*h + 8. Let s be u(b). Let p be s - (-2 - 5/(-20)). What is the nearest to 1 in -0.5, 5, p? p Let n = -415.8 + 416. Let l = 4 + -4.6. Let k = 0.173 - 1.173. Which is the closest to 0.1? (a) k (b) n (c) l b Let n = 38.45 + -38.38. Which is the closest to n? (a) -2/5 (b) -2 (c) 5 (d) -1/12 d Let f = -541 - -541. Which is the nearest to 3.47? (a) f (b) -3 (c) -5 a Let s be (2/36)/(2/26). Let k = s - 1/18. Let y = -549 + 4939/9. Which is the nearest to k? (a) y (b) -0.2 (c) 1 c Let d(z) = -6*z**2 - 239*z + 38. Let v be d(-40). What is the nearest to 0 in -4, v, -13? v Let p = -0.3 - -0.6. Let s = -30/13 + 252/143. Let o = 49/2 + -24. What is the closest to o in s, 3, p? p Let o = -9 - 588. Let u = 597.4 + o. What is the nearest to 2/7 in 45, 0.1, u? u Let z = 571.99 + -574. Let m = z - -1.51. Which is the closest to 2? (a) m (b) -4 (c) 1 c Let k be 7 + -9 - 1*-3. Let o = 1.7 - 3.9. Let f = -0.8 + o. What is the nearest to k in 6, f, 0.1? 0.1 Let j = 2.8 - 3. Let r = -7.98094 - -2.98094. Which is the nearest to j? (a) -4 (b) 0.3 (c) r (d) 0 d Suppose 50*y + 54 = 59*y. Suppose 0 = -5*q + 4*j - 56 + 44, 3*q = 3*j - y. Which is the nearest to 1/3? (a) -2 (b) q (c) 0 (d) 2/9 d Let s = 4635.3 + -4635. Let u = 14.3 + -15. Let g = -0.77 - u. What is the closest to 2/7 in g, s, 0.2? s Suppose 0 = 2*t - 5*q - 5, 7*t - 2*t = q + 1. Let h = -213.1 + 213. Which is the closest to h? (a) -2/7 (b) 1/7 (c) t c Let h = 365 + -365. Suppose f - 5 - 3 = 0. Let j be 4/f + (0 - -2). Which is the closest to -2? (a) h (b) j (c) 4 a Let b = 427 - 422. Suppose b*a + 6 = -19. Let q = -29/2 - -14. What is the nearest to q in a, -0.4, -3? -0.4 Suppose -2*g = -3*v - 82, -5*v - 138 = -49*g + 47*g. What is the closest to -0.1 in -6, -1/4, v? -1/4 Let a = 25.044 - 25.2. Let w = a + 0.256. What is the nearest to w in 3, 4/7, -0.4? 4/7 Let s = 6348 - 6345. What is the nearest to 6 in 1/9, -0.08, 3/7, s? s Let n = 915 - 671. Let t = n - 244.2. What is the closest to t in -1/3, 2/13, -3/4? -1/3 Let l be (-1152)/12*(7/(-42))/(1/3). What is the closest to l in -2, 2, -3, -2/15? 2 Let o = -26.9 + 10. Let h = o + 17. Which is the closest to 1/4? (a) h (b) 1 (c) 3/109 a Let a = 413 + -158. Let u = 254 - a. What is the nearest to -0.1 in 6, u, -0.5? -0.5 Let c = -38 - -153/4. Suppose -a = -3*y - 17, 5*y + 3*a - 2*a = -39. Let n be ((10 + y)/18)/((-8)/18). What is the nearest to c in -1, 1/4, n? 1/4 Let p = 15327/7 + -229891/105. What is the closest to 0.1 in 0.1, 0.5, p, 4? 0.1 Let x be -2 + (-45)/(-55) + 1. Let y = -0.0555 - 33.2445. Let t = 33 + y. Which is the nearest to 0.2? (a) t (b) 2 (c) x c Let v = 5.7 + -0.7. Let p = 14334 - 14336. What is the nearest to 1 in -3/4, v, p? -3/4 Let s(p) be the second derivative of 37*p**3/6 + 37*p**2/2 - 44*p. Let y be s(-1). Let k = 0.7 + -0.4. Which is the nearest to y? (a) -5 (b) 2 (c) k c Let x = 1 - -10. Suppose 2*p + 35 = x. Let r = p - -14. What is the nearest to -0.1 in r, 1, -0.1? -0.1 Let g(p) = p**3 - 15*p**2 - 32*p + 480. Let h be g(15). What is the closest to 0 in h, -0.233, 0.3? h Let f = 1.73 + -2.03. Let r = 133 - 128. Which is the closest to 1/3? (a) f (b) 9 (c) r a Let x be ((-6)/(-27))/(184/24 + -8). Let w = 0.31 - 15.31. Let y = w + 11. What is the closest to 0 in -2, x, y? x Let y = -4.346 - -4.266. What is the nearest to -0.2 in -113, y, -4? y Let y = 52.72 + -50. Let f = y - 3.12. Let u be (16/(-1720))/(1/(-5)). Which is the closest to u? (a) 4/3 (b) 2 (c) f c Let a = -0.595 - -0.195. Let w = 2.939 - -0.061. What is the nearest to 0 in a, -0.5, w? a Let g = 1882.7 - 1882. Suppose -2*o = -12*l + 7*l + 16, 0 = l - 4*o + 4. What is the nearest to g in -3/4, l, 5? -3/4 Suppose -3*y + 5*f = -151, -6*y + 4*y - 3*f + 107 = 0. Let i = y + -53. What is the nearest to 14 in 4, i, 3/2? 4 Suppose 0 - 6 = -2*x. Let v be ((-3)/(-2))/(x/4). What is the closest to 0 in 5, 0.4, v? 0.4 Let f = -101.6 + 100.6. Let k = 68 + -72. What is the nearest to f in k, 1/3, -1? -1 Let w = 2709/5 - 542. Let g = -75.5 - -75. Which is the nearest to -24? (a) w (b) 0.5 (c) g c Suppose -78*f - 226 - 334 = 64. What is the closest to f in -0.07, 0.4, 1/4, 3? -0.07 Let a = -0.00018 - 121.99982. What is the closest to 0.1 in -5, -4/9, a? -4/9 Let l = -345.26 - -451.26. What is the closest to 2 in l, -4, -0.08? -0.08 Suppose -2*d = 2*c - 44, -5*c + 3 = -7. Suppose 1 = 2*z + 3*r - d, -4*z + 32 = 4*r. Suppose -v + z = 1. What is the nearest to v in 0.4, -4, -2? 0.4 Let s = -3689.4 + 3686.4. Let z = -4.9 + 0.9. Which is the nearest to z? (a) 0.4 (b) s (c) 21 (d) 5 b Let s be 11/(385/(-14))*5. Let t be ((-50)/60)/((s/(-4))/1). What is the closest to -1/3 in -2/3, -2/5, -2/17, t? -2/5 Let t = 240 + -273.25. Let u = -32 - t. Let a = u + -0.45. What is the nearest to a in -0.4, -1/7, -4? -1/7 Let f = -0.0184 - -93.4184. Let t = -93 + f. Let u = -0.9 + t. What is the nearest to 0.07 in u, -1, 1/4? 1/4 Let z be ((-2)/4 - -1)*(-312)/(-4). Let o be z/3 - (2 - 7). Let w be (-10)/(-60) + (-3)/o. Which is the closest to -6? (a) -2/5 (b) w (c) -2/7 a Let g be (-2)/5 - 2/(-5). Suppose 8*h + 59*m - 56*m = -37, -m = -1. What is the nearest to g in -12, 2, h? 2 Let x = 4473.2 - 4473. Which is the nearest to x? (a) 3/5 (b) -2/13 (c) 0.4 c Suppose -37*x + 14*x - 115 = 0. What is the nearest to 1 in x, -672, -0.5? -0.5 Let b = 0.11817 - -0.08183. What is the nearest to -1 in -4, b, 0.11, 0.4? 0.11 Let r = -6.71 - -6.64. What is the closest to 8 in r, 4/3, 0? 4/3 Let w = -0.13 - -0.31. Let d = -1.18 + w. Let v be (-9 - 35/(-7)) + -1*1. Which is the nearest to -2? (a) v (b) 4 (c) d c Let q = -2/55 - 49/165. Let g = -98.3 + 99.3. Which is the closest to g? (a) 3/2 (b) -2/23 (c) q a Let q = 0.002 - -0.001. Let h = q + -1.723. Let t = h + 0.72. What is the closest to t in 2, -0.1, 5? -0.1 Let c = -0.04718 - -0.03118. What is the closest to 3 in -1, c, -3, 12? c Let s = 3385.9 - 3386. What is the nearest to s in -0.5, 5, -3.3? -0.5 Let q be (36/(-90))/((-2)/4). Let k = -425 + 425.03. Which is the nearest to 1/5? (a) -2 (b) q (c) k c Let j(o) = 2*o**3 + 119*o**2 + 590*o - 211. Let k be j(-54). Let p = 2.4 + -0.4. Which is the closest to 0.1? (a) p (b) k (c) -1 c Let l = 0.31 - 0.41. Let f = -74/295 - 147/590. Let g = -3 - -3. Which is the nearest to g? (a) l (b) 1 (c) f a Let s = 10586 + -10588. What is the closest to -11 in 2/11, s, 6, -0.4? s Let u be (-9)/6*(-1 - 28/(-24)). Which is the nearest to 2/5? (a) u (b) 12 (c) -1/5 c Let w = -1672 - -1667. Which is the closest to 1? (a) 2 (b) 10 (c) w a Let m = 6.6 + -1.6. Let w = 22/13 - 75/52. Which is the nearest to w? (a) 7 (b) -0.03 (c) m b Suppose 4*o = -3*r - 14 + 15, 2 = -5*r - 3*o. Which is the closest to -0.2? (a) -7 (b) -8 (c) r c Let t = 24 + -73/3. Let r be ((-1425)/(-855))/(-20*4/(-16)). Which is the nearest to -1? (a) t (b) -0.1 (c) r a Suppose -5*i - 3*m = -339, -m + 273 = 4*i + 2*m. Let f = i + -56. Let l be ((-6)/f)/(16/20). Which is the closest to 0? (a) l (b) -2/3 (c) -0.02 c Let l = -12.06 - 54.24. Let y = l + 66. Which is the closest to -0.1? (a) 5 (b) y (c) 6 b Let f = -466.8 - -780. Let g = f + -313. What is the closest to -1/4 in -5, g, 4, -4/5? g Let u = -1.1 - -0.1. Suppose -146*y + 157*y = -2970. Let p be 27/y - (-13)/(-70). What is the nearest to u in p, -2/3, 4? -2/3 Suppose -3*a - 19 = -5*s, 3*a - 27 = -5*s + 4. What is the nearest to 1/5 in -3, a, 1/6, -7? 1/6 Let p = -0.158 - -7.358. Let z = 8.2 - p. Let o = -1.1 - 1.9. Which is the nearest to 1? (a) o (b) z (c) 0 b Let i = -35/74 + -1/37. Let w = -15768.1 - -15768. Which is the nearest to 3? (a) -2 (b) w (c) i b Let r = 474 - 472.9. Let u = -9.2 - -8. Let w = r + u. Which is the nearest to w? (a) 4 (b) 1 (c) -3/5 c Let i = -3.9 + 4. S
{ "pile_set_name": "DM Mathematics" }
c(b) = 22*b**2 - 3*b + 2. What is the remainder when 39 is divided by c(1)? 18 Calculate the remainder when 65 is divided by (-78)/(-3) + (3 - 7). 21 Let s(d) = d**2 + 7*d. Let k be s(-7). Suppose 4 = -2*g, -42 = -4*p - 3*g - k*g. Let m = 130 - 108. What is the remainder when m is divided by p? 10 Calculate the remainder when 2/(8/(-1)) + (-1853)/(-68) is divided by 6. 3 Suppose 92 = 5*c - 18. What is the remainder when 42 is divided by c? 20 Let s be 3*(-3 + 2 - -2). Suppose -6*v = -2*a - 4*v + 20, -5*v = -s*a + 36. Calculate the remainder when 24 is divided by a. 3 Let m(o) = 12*o - 19. Calculate the remainder when m(6) is divided by 14. 11 Let a = -9 + 28. Suppose -a - 23 = -2*r. Calculate the remainder when r is divided by 10 - (0 - 0 - 1). 10 Let j = -2 + 3. Let b = j - -2. Suppose y - 4*i = 25, -3*y - 2*i - b*i = 10. What is the remainder when y is divided by 3? 2 Let i(b) = 7*b. Let a be 0/(-2) + -1 + 2. Suppose 0*d = 2*d - 38. Calculate the remainder when d is divided by i(a). 5 Suppose 2*l - 6*l = -132. Suppose 2*q = -3*h + l, q + h + 101 = 5*q. What is the remainder when q is divided by 9? 6 Let o(g) = -4*g + 62. Calculate the remainder when 3/(-6) - 26/(-4) is divided by o(15). 0 Suppose 2*o - 45 = -3*o. Let l(r) = -r**2 - 13*r + 36. Calculate the remainder when o is divided by l(-15). 3 Suppose -1 = 5*v - 11. Suppose x - 2*x - v*l + 18 = 0, -79 = -5*x + l. What is the remainder when x is divided by 9? 7 Let p = 100 + -70. Let c = p + -15. Suppose -5*j = 2*s - 221, -227 = -5*j - 3*s - s. Calculate the remainder when j is divided by c. 13 Let x(t) be the second derivative of 4*t + 1/6*t**3 + 8*t**2 + 0. Calculate the remainder when 8 is divided by x(-11). 3 Let x = -2 - -6. Calculate the remainder when 14 is divided by x. 2 Let i(z) be the third derivative of -z**4/12 - 5*z**3/3 + 3*z**2. Calculate the remainder when i(-7) is divided by 3. 1 Suppose -2*x + 49 = -15. Calculate the remainder when x is divided by 9. 5 Suppose 0 = -3*t + 3 + 3. Suppose 4*a - 159 = 5*d + 93, -t*d = 0. Let g = -28 + a. What is the remainder when g is divided by 12? 11 Suppose -34*p + 38*p - 36 = 0. Calculate the remainder when 26 is divided by p. 8 What is the remainder when 98 - (4 - -2 - 2) is divided by 24? 22 What is the remainder when 30 is divided by (-684)/(-42) - (-4)/(-14)? 14 Suppose -6 = -4*z - 2. Let p = 2 + z. What is the remainder when 8/1 + (2 - 3) is divided by p? 1 What is the remainder when 53 is divided by 28*(-1 - (-9)/6)? 11 Let b(o) = 3*o - 23. Calculate the remainder when 2 is divided by b(8). 0 Let a(r) = r**3 + 5*r**2 - 2*r + 3. Calculate the remainder when a(-4) is divided by (2/(-4))/(3/(-42)). 6 Let x(n) = n**3 + 11*n**2 - 15*n + 7. Suppose v = 2 + 4. Let t = v + 16. What is the remainder when x(-12) is divided by t? 21 Calculate the remainder when 83 is divided by ((-66)/(-8))/((-27)/(-36)). 6 Suppose i + 2*w - 4*w = -4, -w + 2 = -5*i. Suppose i = 3*g + g - 72. Calculate the remainder when g is divided by 10. 8 Calculate the remainder when 4/(-36)*2 - (-3786)/27 is divided by 13. 10 Suppose -a + 2*v = -79, -5*a = -3*v - 253 - 163. Let t = 61 - a. What is the remainder when (t/(-30))/((-4)/(-70)) is divided by 5? 4 Suppose c - 3 = 0, 2*v + 2*c = c + 165. What is the remainder when v is divided by 14? 11 Let y = -2 - -16. Suppose -5*d + 3*d + 12 = 0. Let o(h) = -h**3 + 7*h**2 - 3*h + 7. Calculate the remainder when o(d) is divided by y. 11 Suppose w - 2*k - 25 = -k, 0 = 3*w - 4*k - 70. Suppose 5 = f - n - 7, 3*f = n + 26. Let d = f + 4. Calculate the remainder when w is divided by d. 8 Let y = 381 + -158. What is the remainder when y is divided by 56? 55 Suppose -3*q - q = -164. What is the remainder when q is divided by 21? 20 Suppose -2*w = -7*w + 210. What is the remainder when w is divided by 20/1 - (-4 + 2)? 20 Suppose -7*l + 6*l + 7 = 0. Suppose -2*s + l*s = 40. Calculate the remainder when 29 is divided by s. 5 Let q(l) = 4*l + 11. What is the remainder when q(11) is divided by 19? 17 Let a(t) = 6*t**2 + 2*t + 3. Let d be a(4). Suppose -2*w + 146 = -4*w. Let n = d + w. What is the remainder when n is divided by 12? 10 Let w = 66 + -53. What is the remainder when 38 is divided by w? 12 Suppose -5*o - 18 = -3*a, -5*o + 27 + 32 = 4*a. Suppose 2*j - 29 = 55. What is the remainder when j is divided by a? 9 Let o(c) = -c**3 + 5*c**2 - 4*c + 6. Let j(z) = 5*z**2 - 2*z + 1. Let f be j(1). What is the remainder when o(f) is divided by 4? 2 Suppose -36 = -5*b + 2*b. Let a = b + 2. Suppose 811*j - 27 = 810*j. What is the remainder when j is divided by a? 13 Let c(g) be the first derivative of g**3/3 + g - 2. Let y be c(-1). Suppose 11 = d - y. Calculate the remainder when 36 is divided by d. 10 Let o(f) = -f**3 - 10*f**2 - 10*f + 6. What is the remainder when 42 is divided by o(-9)? 12 Let s(i) = i + 2. Let x = -6 - -4. Calculate the remainder when 3/(3/x)*-10 is divided by s(5). 6 Let s(w) = -w**3 - 15*w**2 + 7. Calculate the remainder when 12 is divided by s(-15). 5 Suppose 0 = 2*i + 3*i - 80. Let y = 5 + -5. Suppose y*l + 47 = l. What is the remainder when l is divided by i? 15 Let n = 4 + -8. Let r = -7 - n. Let t = r - -16. What is the remainder when t is divided by 5? 3 Let r(h) = 2*h**3 + 4*h**2 - h. Let z be r(-4). Let f = z - -97. What is the remainder when f is divided by 13? 11 Let o = -51 - -80. What is the remainder when o is divided by 10? 9 Let j = 410 + -205. Suppose -j = -2*u - 3. Calculate the remainder when u is divided by 26. 23 Suppose 0 = -0*v + v. Let u be (16/2 + v)/2. Suppose 0 = u*x - 4, 2*q - 6*x = -3*x + 35. Calculate the remainder when 36 is divided by q. 17 Let x be ((-102)/4)/((-2)/(-4)). Let d = -20 - x. Calculate the remainder when d is divided by 8. 7 Let z(l) = l - 11. Let b be z(9). Let k(d) = d**3 - d**2 - 4*d - 3. Let t be k(b). Let n = 11 + t. Calculate the remainder when 11 is divided by n. 3 Suppose -2*k + 2*j + j = -13, 0 = -2*k - j + 1. Let x(m) = 7*m - 3*m - 3*m - k. Calculate the remainder when x(3) is divided by 1. 0 Suppose 100 = -0*q + 2*q. Suppose 2*t + 5*s + 46 = 4*t, 0 = -2*t + 3*s + q. Suppose 2 = 2*z - 18. Calculate the remainder when t is divided by z. 8 Let d be 2/12 + 7/(-6). Let c(y) = -38*y**3 - y**2 - 2*y - 1. What is the remainder when c(d) is divided by 8? 6 Let o = -2 + 7. Suppose 29*c - 22 = 27*c + 2*l, -5*l + 10 = 0. What is the remainder when c is divided by o? 3 Let f(i) = i**2 + 9*i + 18. What is the remainder when 47 is divided by f(-8)? 7 Let f(y) = 10*y**2 + y + 1. What is the remainder when f(-2) is divided by 21? 18 Suppose 3*t + 0*x - 2 = -5*x, -4 = 3*t - x. What is the remainder when ((69 - 2)/t)/(-1) is divided by 17? 16 Let k = 24 + -18. Suppose a - 25 = 3*p, k*p - 3*p = 3*a - 69. Calculate the remainder when a is divided by 12. 10 Let z = -18 + 10. Let a be (-6)/(3*4/(-42)). Let j = z + a. Calculate the remainder when j is divided by 5. 3 Let b(j) = -12*j. Calculate the remainder when b(-7) is divided by 29. 26 Suppose 0 = 10*a - 6*a - 148. What is the remainder when a is divided by 20? 17 Let q = -36 - -102. Let v = -40 + q. Calculate the remainder when v is divided by ((-9)/(-2))/(6/12). 8 Let d = 7 - 9. Calculate the remainder when (-260)/(-15) - d/(-6) is divided by 9. 8 Let m be -2*15 + 3/3. Let n = 58 + m. Calculate the remainder when n is divided by 16. 13 Let u = -54 + 77. Suppose 2*o - 4*g - 1 = 27, -4*o + 47 = -5*g. What is the remainder when u is divided by o? 7 Suppose 4*t - 60 = 84. Let n be 34/(-12) - 6/t. Let k = 8 - n. What is the remainder when 32 is divided by k? 10 Let b(r) = -13*r - 1. Let k(v) = v**2 + 3*v - 6. What is the remainder when k(5) is divided by b(-1)? 10 Let i(f) = f + 6. Calculate the remainder when 34 is divided by i(8). 6 Let y(c) = c**3 - 3*c**2 + 3*c - 3. Let t = 16 - 13. Suppose -g + u + 28 = 6*u, -2*g + t*u = -17. Calculate the remainder when y(4) is divided by g. 12 Suppose -y - 10*w + 169 = -5*w, -2*y - w = -347. Calculate the remainder when y is divided by 35. 34 Suppose -2*q - 2 + 10 = -z, -4*z = -5*q + 17. Calculate the remainder when z is divided by 1. 0 Let t(f) = -f - 2. Let w be t(-5). Suppose w*h = 4*h - 1. Suppose m = -0*m + h. Calculate the remainder when m is divided by 1. 0 Let c = 111 - 63. Calculat
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of m and 36? 18 Suppose -77*s = 1207 - 3594. What is the greatest common divisor of 3503 and s? 31 Suppose 8*p - 312 = -5*p. Calculate the greatest common factor of p and 588. 12 Let g = 52 - 47. Suppose -2*p + 25 = -g*k - 8, -4*p = 3*k - 27. What is the highest common divisor of 45 and p? 9 Let l be ((-140)/50 - -3) + (-448)/(-10). What is the greatest common divisor of l and 9? 9 Let b = -679 + 1255. Calculate the highest common divisor of b and 45. 9 Let o be (0/(-1 - 0))/(-1). Suppose -4*t = 8*x - 4*x, -5*x - 4 = 4*t. Let b = o - x. Calculate the greatest common factor of 6 and b. 2 Suppose -8*l - 8 = -10*l. Suppose 2*s - 12 = l. Suppose 4*t = 4*r + 448, -5*r + s*r = -t + 104. What is the highest common divisor of 44 and t? 22 Let r = -93 - -117. Calculate the highest common divisor of 24 and r. 24 Let h(r) = -r**3 - 5*r**2 + 8*r - 16. Let n be h(-8). What is the highest common factor of n and 6? 2 Let b(d) = 11 - 6*d - 54 + 0*d. Let x be b(-11). What is the highest common factor of 207 and x? 23 Let o be 1/((-5)/75*-5 - 0). Suppose -h + 3*h - 10 = 0. Suppose 8 = h*u + o*b, -u - b = -3*b + 1. Calculate the greatest common factor of u and 5. 1 Suppose 0 = -u + 4*u - 75. Calculate the highest common factor of 25 and u. 25 Let r(j) = -j - 1. Let q be r(-3). Suppose q = 2*s, v + s - 595 = -v. Let i = -14 + 41. Calculate the highest common divisor of v and i. 27 Let a be 6/((-18)/(-1119)) - (-2 + 1). Suppose 5*l - k - a = 162, 0 = -l + k + 104. Calculate the greatest common divisor of l and 12. 12 Let f be -7 - (-48)/20*(-350)/(-15). What is the greatest common divisor of 4361 and f? 49 Let t(i) = i**2 + 22*i - 71. Let r be t(-25). Let o be 3*(r - (1 + 0)). What is the greatest common divisor of 45 and o? 9 Suppose n - 3*n = -4*s, -n = 2*s. Let x(j) = s + 5 + 0*j - j + 6*j. Let h be x(5). What is the greatest common factor of 15 and h? 15 Let o = -5 + 5. Suppose -g - 2 = -2*n, o = g - 2. Calculate the highest common divisor of n and 22. 2 Let m = -32 + 214. What is the greatest common divisor of 14 and m? 14 Let y(k) be the third derivative of k**5/6 + 3*k**4/8 + 13*k**3/6 + 7*k**2. Let q be y(-7). Calculate the highest common divisor of q and 40. 40 Let p(g) = 2*g - 7. Let f be p(7). Suppose 8 = -z - f. Let q be 10/z*3/(-2). What is the highest common factor of q and 3? 1 Suppose 64*h - 69*h + 305 = 0. Let r = -35 + h. What is the highest common factor of 130 and r? 26 Let z(q) = -q**3 - 18*q**2 - 26*q - 87. Let n be z(-17). Let x(t) = -4*t + 2. Let o be x(-5). Calculate the greatest common factor of n and o. 22 Suppose 9*b - 4*b = -2*i + 118, -2*b - i = -47. What is the highest common divisor of 3 and b? 3 Let d = 520 + -495. Suppose 4*v + 5*j - 1125 = 0, -5*v + 1360 = -0*j - 3*j. What is the greatest common divisor of v and d? 25 Let a be (-310)/(-75) - (-7)/((-210)/4). Calculate the highest common divisor of 46 and a. 2 Let s(x) = 9*x + 3. Let g be s(3). Let i(d) = 42*d + 6. Let v be i(7). Suppose -18*q = -14*q - v. What is the highest common divisor of g and q? 15 Let p(k) = k. Let s(h) = h**2 - 4*h - 1. Let a be (-32)/(-6) + 2/3. Let i(c) = a*p(c) + s(c). Let w be i(2). Calculate the greatest common divisor of w and 14. 7 Let z(t) be the first derivative of t**4/4 - 7*t**3/3 + 10*t - 9. Let b be z(7). Calculate the highest common divisor of 10 and b. 10 Let h be 33/8 - (-67)/(-536). Let o be (-255)/(-7) + 3/(-7). Calculate the greatest common factor of h and o. 4 Let y(p) = -24*p + 19. Let z be y(-21). Let o = z - 323. Calculate the greatest common factor of o and 20. 20 Let p = 777 - 1326. Let g be 2/(-10) + p/(-45). Calculate the highest common divisor of g and 12. 12 Let k be (-30)/8*(1 - 5). Let i(x) = x**2 + 35*x - 146. Let l be i(-39). What is the highest common factor of k and l? 5 Suppose 0 = 11*o - 33*o + 286. Calculate the greatest common factor of 364 and o. 13 Suppose 0 = -0*q + q + 3. Let h be (-550)/(-15) - (-2)/q. Let m = -6 + 30. What is the highest common divisor of m and h? 12 Suppose 2*u - 4 = 4*u. Let q be ((-18)/(-21))/(u/(-14)). Suppose 0 = h + f - 19, 3*h + 2*f + 0*f - 53 = 0. Calculate the highest common factor of h and q. 3 Let p be (-8)/36 - 94/(-18). Suppose 0*h + p = h. Suppose 0*t + 35 = t. Calculate the greatest common factor of t and h. 5 Let j = 14 + -10. Suppose -6*m - 6 = -3*m. Let d be -2*(-106 - j/m). What is the highest common factor of d and 26? 26 Suppose -3*j + 13 = -s, -9 = -j - s + 2. Suppose -3*l = j*l - 54. Calculate the highest common factor of 21 and l. 3 Suppose -36*z + 37*z - 1166 = 0. Calculate the highest common divisor of 22 and z. 22 Suppose -b = b. Suppose -5*z + 41 = 2*x, b = -4*z + 11 + 9. Let i = x - -128. What is the highest common factor of 17 and i? 17 Let a = -24 - -26. Suppose -a*z + 39 = z. Let k = 188 - 97. What is the greatest common factor of z and k? 13 Let c be 15/1*2/3. Let y be (-18)/(-10)*(-140)/(-42). Suppose -2*v - y*b = -b - 185, b = v - 75. Calculate the greatest common divisor of c and v. 10 Suppose -2*t - d = -8, -5*t - d = d - 22. Calculate the greatest common factor of 12 and t. 6 Let y be (27/(-324))/((-5)/120). Calculate the greatest common divisor of 208 and y. 2 Let x = 63 - 61. Let n be x/8 + (-217)/(-28). Calculate the highest common factor of 40 and n. 8 Let u = 22 - 24. Let x be (-114)/(-8) + (-14)/(-8) + u. Suppose 4*t - 342 - 162 = 0. Calculate the highest common factor of x and t. 14 Suppose -5*b = p + 15 - 21, 4*p + 5*b = 39. What is the highest common divisor of p and 253? 11 Suppose -13*s - 499 = -889. What is the highest common divisor of 930 and s? 30 Suppose 0 = 9*g - 108. Suppose 0 = 15*f - 3 - g. Let y = -5 - -8. What is the greatest common factor of f and y? 1 Let d = 23 - -30. Let n = -42 + d. What is the highest common factor of 44 and n? 11 Suppose 0 = -u - 3*y + 15, 10*u - 5*u = y + 27. Suppose -8*p + 30 = -6*p. What is the greatest common divisor of u and p? 3 Let g be 203/63 + (-2)/9. Let p be g/(6/14) + -3. Let r be p/(-12) + (-44)/(-6). What is the greatest common factor of r and 14? 7 Let x(r) = -r - 4. Let q = -22 - -15. Let m be x(q). Suppose -5*y + 4*y - 54 = -m*i, -5*i + 90 = 3*y. Calculate the highest common divisor of 144 and i. 18 Suppose 19*n - 2394 = -0*n. What is the greatest common divisor of 1008 and n? 126 Suppose -3*l - 4*b = 2*l - 106, -2*l + 3*b = -47. Suppose -2*x = 3 + 7, 7 = 2*j + 3*x. What is the greatest common divisor of l and j? 11 Let j(n) = -64*n**3 + n**2 + 4*n - 2. Let q be j(-2). Calculate the greatest common divisor of 23 and q. 23 Let y(c) = c**3 - 28*c**2 + 50*c + 86. Let w be y(26). Let j(a) = 45*a + 1. Let f be j(3). What is the greatest common factor of f and w? 34 Let b = 261 - 68. Let l = b - 157. Calculate the highest common factor of l and 24. 12 Suppose 2 - 8 = -2*g. Suppose g*a - 105 = -m - m, 3*m - 132 = 4*a. Let n be (-3)/6*24/(-1). What is the highest common factor of m and n? 12 Let a = 468 - 182. Calculate the highest common factor of a and 88. 22 Let s = 98 - 118. Let j be -1 + (-5)/(s/328). Let w = -16 + 25. What is the highest common divisor of j and w? 9 Let t be 14/(-4)*(-32)/56. Let o = 34 + -33. Calculate the greatest common factor of t and o. 1 Let j(k) = -10*k - 15. Let c be 5 - (-3 - -1) - 3. Suppose c*n = -0*n - 24. Let m be j(n). Calculate the greatest common divisor of m and 15. 15 Suppose -5*n = 5, -2*u + 277 - 81 = 2*n. Calculate the greatest common factor of 11 and u. 11 Let r be 118/(-1416) - 1009/(-12). Let v = 78 - 22. Calculate the highest common factor of v and r. 28 Suppose 16 = 3*a - 3*k - 17, 0 = 2*a - 4*k - 18. Let p = -37 - -42. Let c be (2/(-6))/(p/(-975) - 0). What is the highest common divisor of a and c? 13 Suppose 0 = -2*o - 2*o + 372. Let m = 28 + o. Suppose -5*u = -52 - 3. What is the greatest common factor of u and m? 11 Suppose 7*b - 147 = -63. Calculate the greatest common factor of 52 and b. 4 Suppose 3*z = -f + 318, -f - 2*z = 3*f - 1322. What is the highest common factor of 555 and f? 111 Let x(q) = 10*q - 94. Let f be x(10). What is the highest common divisor of 222 and f? 6 Let k = -14 - -23. Suppose 3*d + 9 = 4*d. What is the highest common factor of k and d? 9 Suppose -23*w + 961 = -419. Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
+ 2*o**3. Solve q(x) = 0. 0, 1 Suppose 4*o + g = 2 + 9, 2*o = -3*g + 13. Let u(c) = 2*c**4 - c**3 - 2*c - 2. Let y(b) = b**4 - b**3 + b**2 - b - 2. Let p(k) = o*u(k) - 3*y(k). Factor p(h). (h - 1)**2*(h + 1)*(h + 2) Let r(t) be the third derivative of -3*t**7/70 + 7*t**6/120 + t**5/30 + 8*t**2. What is v in r(v) = 0? -2/9, 0, 1 Let c(r) = r**2 + 10*r. Let j be c(-10). Solve j*w**2 - w**2 - w + 2*w = 0 for w. 0, 1 Let u(j) be the first derivative of -2 + 3/4*j**4 + 0*j + 3/2*j**2 + 2*j**3. Let u(n) = 0. What is n? -1, 0 Let b be (-4)/(-2) + 1*-7. Let p be (-4)/60*(b + -1). Factor 0 + 0*h + p*h**3 - 2/5*h**2. 2*h**2*(h - 1)/5 Let o(b) be the second derivative of b**6/70 + 9*b**5/140 + b**4/14 - 20*b. Find f, given that o(f) = 0. -2, -1, 0 Let n be (-1 + 2)*0*(-3)/6. Factor n*d - 1/2*d**3 + 0 + 1/2*d**2. -d**2*(d - 1)/2 Let x be (-2 + 0 + 3)*0. Suppose 0*a**3 + 0 - 1/3*a**4 + x*a**2 + 0*a - 1/3*a**5 = 0. What is a? -1, 0 Factor 8/7*q - 2/7*q**4 + 0*q**2 - 6/7*q**3 + 0. -2*q*(q - 1)*(q + 2)**2/7 Factor -1/3*f**4 - 8/3*f - 2*f**3 - 4*f**2 + 0. -f*(f + 2)**3/3 Let k(u) be the second derivative of 5*u**8/112 - 6*u**7/35 + 9*u**6/40 - u**5/10 - u**2 - 3*u. Let b(q) be the first derivative of k(q). Factor b(t). 3*t**2*(t - 1)**2*(5*t - 2) Let d(s) be the third derivative of s**5/150 - 13*s**4/60 + 4*s**3/5 - 3*s**2 + 1. Factor d(k). 2*(k - 12)*(k - 1)/5 Let c(p) be the second derivative of -p**7/1890 + p**6/540 - p**5/360 + p**4/12 - p. Let h(s) be the third derivative of c(s). Solve h(j) = 0. 1/2 Let 45*b**4 - 68*b**4 + 33*b**4 + 60*b**2 - 20*b - 45*b**3 = 0. What is b? 0, 1/2, 2 Let p be (4/(-16))/(2/(-24)). Let t = 2 + p. Suppose 1/2*m**2 - 1/2*m**t + 0*m + 1/2*m**3 + 0 - 1/2*m**4 = 0. Calculate m. -1, 0, 1 Let c = -1493/2 - -7701/10. Let g = 24 - c. Solve -2/5*q**3 + 2/5*q + g - 2/5*q**2 = 0 for q. -1, 1 Determine n, given that 38/9*n**4 - 16/9 - 22/9*n**2 + 68/9*n - 82/9*n**3 + 14/9*n**5 = 0. -4, -1, 2/7, 1 Let l be 0 - -1 - (-10)/10. Let s(t) be the first derivative of l*t**5 + 9*t**5 - 13*t**5 - 6*t**3 - 6*t**4 - 3 - 2*t**2. Factor s(r). -2*r*(r + 1)**2*(5*r + 2) Let y = -665 + 668. Factor 1/2*j**y - 3/2 + 7/2*j - 5/2*j**2. (j - 3)*(j - 1)**2/2 Let m(q) be the first derivative of -q**7/42 - q**6/30 + q**5/20 + q**4/12 - q + 1. Let i(k) be the first derivative of m(k). Determine w so that i(w) = 0. -1, 0, 1 Suppose 5*r + 14 = -2*m, 5*r = 2*r + 3*m. Let c be r/4*4/(-3). Factor c*j + 1/3*j**2 + 1/3. (j + 1)**2/3 Let i be ((-5)/((-60)/(-9)))/(1/(-4)). Let v(c) = -c + 4. Let w be v(2). Solve -5*x**2 - 3*x**3 + x**4 - x + 4*x**2 + 6*x**i - w*x**3 = 0. -1, 0, 1 Let o be (-2)/(-1) + 2 - 1. Let y be 1/(((-2)/(-30))/(40/25)). What is v in 15*v**2 - 6 - 2*v**3 + o - y*v + 19 - 3*v**2 = 0? 2 Suppose 4*x + 0 = 16. Let y(q) be the third derivative of 0 - 1/84*q**x + 0*q + 0*q**3 + 2*q**2 - 1/210*q**5. Factor y(v). -2*v*(v + 1)/7 Factor -5*n**2 - 22*n - 8*n + 12*n**3 - 7*n**3. 5*n*(n - 3)*(n + 2) Let v(d) be the second derivative of 1/30*d**6 - 9/100*d**5 + 7/60*d**4 - 1/15*d**3 + 0*d**2 - 1/210*d**7 + 0 + 6*d. Factor v(u). -u*(u - 2)*(u - 1)**3/5 Let a = 9 + -4. Suppose 10*n - a*n = -15, 0 = 3*z + 2*n. Determine l so that -2/3*l**z - 4/3*l - 2/3 = 0. -1 Let h = 6 - 4. Suppose -2*z = -5*i + 9, 2*z + h*i = -0*z + 12. Factor 8*l - 3*l**3 - 4 - l**3 + 2*l**2 + 5*l**z - 7*l**2. (l - 2)**2*(l - 1) Suppose 0 = 5*u - 15 - 20. Factor 9*d**2 + 5*d - 3*d**4 + 4*d + 4*d - u*d. -3*d*(d - 2)*(d + 1)**2 Let j = 77/416 + -1/32. What is b in -j*b**2 + 6/13*b + 0 = 0? 0, 3 Let b(i) = i**3 - 5*i**2 - 5*i + 9. Let l be b(6). Let n be (l/(-20))/((-15)/8). Determine c so that -1/5*c**2 + n*c**3 + 0*c + 0 - 1/5*c**4 = 0. 0, 1 Let f = 8 - 4. What is z in 2*z**5 + 4*z**4 - 4*z**5 - 2*z**f = 0? 0, 1 Factor -3*v**2 + 0*v**2 - 3*v**2 - 2*v**3 + 5*v**3. 3*v**2*(v - 2) Let k(z) = z**3 + 4*z**2 + 4*z + 3. Let a be k(-3). Suppose 2*w - 3 = 1. Factor -c + a*c - c**w + 6 - 4. -(c - 1)*(c + 2) Let n(r) = -r**3 + 5*r**2 + 4*r + 7. Let l be n(5). Factor -27 + 4*o**4 + l - 2*o**5 - 2*o**3. -2*o**3*(o - 1)**2 Let r be (-56)/(-5) + 2/(-10). Suppose -4*q = -n - r, -4*q + 2*n + 14 - 4 = 0. Factor a**q + a - 4*a**3 + 2*a**3. -a*(a - 1)*(a + 1) Let k(x) be the second derivative of -3/5*x**6 - 4*x**2 - 37/6*x**4 - 3*x**5 - 3*x - 20/3*x**3 + 0. Factor k(j). -2*(j + 1)**2*(3*j + 2)**2 Let c(f) be the third derivative of 0 + 0*f**3 + 0*f**5 + 0*f**6 + 1/24*f**4 - f**2 + 1/7560*f**7 + 0*f. Let o(v) be the second derivative of c(v). Factor o(b). b**2/3 Factor 12/5 + 8/5*s - 4/5*s**2. -4*(s - 3)*(s + 1)/5 Factor 6/5*t + 3/5*t**2 + 3/5. 3*(t + 1)**2/5 Let w(a) be the first derivative of a**9/12096 - 4*a**3/3 - 1. Let d(z) be the third derivative of w(z). Factor d(x). x**5/4 Let o(y) be the first derivative of -y**4/3 + y**3/3 - 2*y + 2. Let z(p) be the first derivative of o(p). Factor z(s). -2*s*(2*s - 1) Let j(g) = 3*g**2 - 3*g. Let b(h) = -h**2 + h. Suppose -5*c = 64 + 46. Let f = -16 - c. Let y(i) = f*j(i) + 17*b(i). Factor y(u). u*(u - 1) Let l(b) be the first derivative of 3*b**4/20 - 3*b**2/10 - 7. Determine f, given that l(f) = 0. -1, 0, 1 Solve -1 + 1/2*w + 1/2*w**2 = 0. -2, 1 Suppose 3*z + 3*i - 8 = 5*i, i = -5*z + 22. Let b(n) be the first derivative of -3 - 1/10*n**5 + 1/8*n**2 + 1/6*n**3 + 0*n**z + 0*n - 1/24*n**6. Solve b(q) = 0. -1, 0, 1 Let d(c) = 14*c**3 + 7*c**2 + 3*c - 3. Let i = 4 + -6. Let k(x) = 14*x**3 + 6*x**2 + 2*x - 2. Let w(h) = i*d(h) + 3*k(h). Factor w(z). 2*z**2*(7*z + 2) Suppose 3*r - 3*i = 21, 13*r - 14*r + 2*i = -12. Factor 4*w**2 - 2/5*w**5 - 4*w**3 - r*w + 2*w**4 + 2/5. -2*(w - 1)**5/5 Let f(h) = 12*h - 58. Let u be f(5). Factor 1/5 + 3/5*q + 3/5*q**u + 1/5*q**3. (q + 1)**3/5 Factor 33*j**2 - 5*j**3 + 41 - 5 - 60*j - 3*j**2 + 4. -5*(j - 2)**3 Let c(p) be the first derivative of -1/4*p**3 - 4 + 1/4*p + 1/4*p**2. Determine y so that c(y) = 0. -1/3, 1 Let u be 2/(((-364)/(-8))/13). Suppose -u - 6/7*n - 2/7*n**2 = 0. Calculate n. -2, -1 Let x = -74/3 + 25. Factor -1/3*c**3 + 1/3 - x*c**2 + 1/3*c. -(c - 1)*(c + 1)**2/3 Factor -2*g - 4*g**4 - 11*g**4 - g**4 - 24*g**3 - 12*g**2. -2*g*(2*g + 1)**3 Let g(m) be the second derivative of -m**7/105 + m**5/25 - m**3/15 + 2*m. Let g(z) = 0. Calculate z. -1, 0, 1 Let b(u) be the third derivative of -u**7/1155 - u**6/396 - u**5/660 - 7*u**3/6 - 4*u**2. Let a(i) be the first derivative of b(i). Let a(z) = 0. Calculate z. -1, -1/4, 0 Suppose 45 = 2*x + 7. Let w = 19 - x. Factor w*c**2 + 0*c + 0 - 2/3*c**3 - 2/3*c**4. -2*c**3*(c + 1)/3 Let v = -20 - -20. Let s be v/(-1)*8/8. Solve 4/11*n**3 - 2/11*n + 0 + 0*n**4 - 2/11*n**5 + s*n**2 = 0. -1, 0, 1 Suppose 16 = 2*z + 4*m + 6, 3*m = 0. Let r(p) be the third derivative of -1/120*p**6 + 0*p**3 + 2*p**2 + 0 - 1/20*p**z + 0*p - 1/12*p**4. Factor r(o). -o*(o + 1)*(o + 2) Let r(n) be the first derivative of n**4/14 + 4*n**3/21 + n**2/7 - 5. Factor r(b). 2*b*(b + 1)**2/7 Let u(p) be the second derivative of -2*p + 0*p**2 - 1/2*p**3 + 1/20*p**6 - 3/10*p**5 + 0 + 5/8*p**4. Factor u(m). 3*m*(m - 2)*(m - 1)**2/2 Let o(m) be the second derivative of 1/66*m**4 - 1/33*m**3 - 11*m - 1/11*m**2 + 1/110*m**5 + 0. Factor o(q). 2*(q - 1)*(q + 1)**2/11 Let k(h) be the second derivative of -1/3*h**4 - 1/3*h**3 + 0 - 3*h - 4/15*h**6 + 0*h**2 + 7/10*h**5. Factor k(l). -2*l*(l - 1)**2*(4*l + 1) Let u = 4 - 1. Let u*r**5 + r**2 + 2*r**2 - 3*r**3 - 3*r**4 - 8 + 8 = 0. What is r? -1, 0, 1 Let p(n) be the first derivative of -4*n**3/3 + 16*n - 11. Factor p(z). -4*(z - 2)*(z + 2) Let v(s) = -s**3 - 8*s**2 + s + 8. Let f be v(-8). Let h(x) be the first derivative of f*x + 1/9*x**3 - 2 - 1/6*x**2. Solve h(n) = 0. 0, 1 Let y(l) be the second derivative of -3*l**5/20 - l**4/2 - l**3/2 + 5*l. What is p in y(p) = 0? -1, 0 Let u(c) be the second derivative of 11/4*c**4 + 2*c**5 + 0 - 2*c + 1/2*c**2 + 8/15*c**6 + 5/3*c**3. Factor u(x). (x + 1)**2*(4*x + 1)**2 Let u(d) be the third derivative of d**7/735 - d**5/210 - 5*d**2. Factor u(i). 2*i**2*(i - 1)*(i + 1)/7 Let k = -14/37 + 1106/185. Let v(h) be the first derivative of -98/15*h**3 - 2 - 8/5*h + k*h**2. What is l in v(l) = 0? 2/7 Let s = -123 + 127. Factor 0 + 3/5*d**5 - 2/5*d - 3/5*d**2 + 7/5*d**s + 3/5*d**3. d*(d + 1)**3*(3*d - 2)/5 Let z(k) be the third derivative of -k**8/84
{ "pile_set_name": "DM Mathematics" }
e d(v(w)). 10*w Let k(m) = m. Suppose 7 = -5*b + 2. Let i be (2 - 0) + b - 0. Let s(z) = -i + 1 + 3*z**2. Give s(k(j)). 3*j**2 Suppose -2*j + 4*u = -u - 27, -3*u = 2*j - 3. Let s(g) = -g - 14*g + j*g + 5*g. Let o(n) be the third derivative of -n**5/60 - 3*n**2. What is o(s(x))? -16*x**2 Let w(y) be the second derivative of -y**7/1260 - y**4/4 + 4*y. Let g(d) be the third derivative of w(d). Let i(h) = -h**2. Determine i(g(l)). -4*l**4 Let v be 20/(-4) + 2 + 3. Let y(m) be the second derivative of 0 + v*m**2 + 1/6*m**4 + 0*m**3 - 2*m. Let s(f) = -f**2. Determine s(y(h)). -4*h**4 Let h(v) = 18984*v**2. Let s(a) = a. Calculate s(h(q)). 18984*q**2 Let a(k) = k. Suppose 0 = -4*i + 11 - 3. Let p be (-6)/27 - 303/(-27). Let m(u) = 2*u**i - p + 11. What is m(a(l))? 2*l**2 Let z(n) = 3*n. Let a(b) = 2*b. Let g(i) = -4*a(i) + 6*z(i). Let j(w) = 2*w**2. What is g(j(l))? 20*l**2 Let i(y) = y. Suppose -3*q = g - 6 - 1, 13 = -2*g + 3*q. Let c(r) = -1. Let x(j) = 11*j + 2. Let w(u) = g*c(u) - x(u). What is w(i(f))? -11*f Let j(i) = 2*i**2. Let b(g) = 12*g**2. Let d(x) = 4*x**2. Let s(a) = -2*b(a) + 7*d(a). Determine j(s(o)). 32*o**4 Let i(t) = -t - 11. Let z(a) = -17*a + 4. Give i(z(s)). 17*s - 15 Let j(i) = i - 139. Let k(d) = 6*d. What is k(j(u))? 6*u - 834 Let r(u) = -1 + 3*u**2 + 1. Let x(l) be the second derivative of -l**4/12 - l**2/2 + 2*l. Let i(w) = -10*w**2 - 9. Let v(d) = 2*i(d) - 18*x(d). Give v(r(a)). -18*a**4 Let r(v) = -2*v. Let l(t) = -8*t. Let z(x) = -2*l(x) + 7*r(x). Let g = -2 + 3. Let o(m) = m + 2. Let p(u) = -1. Let i(w) = g*o(w) + 2*p(w). Calculate z(i(b)). 2*b Let b(f) = 4*f**2. Let q(a) be the first derivative of -3*a**2 + 31. What is q(b(u))? -24*u**2 Let i(a) = -a**2. Let o(f) be the second derivative of -f**3/2 - 6*f**2 - 28*f. Determine i(o(v)). -9*v**2 - 72*v - 144 Let l(d) = -3*d**2. Let g(c) = -2*c + 33. What is l(g(v))? -12*v**2 + 396*v - 3267 Let f(j) = j. Let w(x) = -121*x**2. Determine w(f(n)). -121*n**2 Let z(p) = 11*p. Let v(n) be the third derivative of n**5/30 + 63*n**2. Give z(v(a)). 22*a**2 Let r(o) = -o. Suppose 2*u = 4 + 4. Let y(m) = -2*m + u*m - 5*m. Give r(y(x)). 3*x Let h(j) = j. Let r(k) = -3*k + 21. Let s be r(7). Let i(n) be the second derivative of s + n + 0*n**2 - 5/6*n**3. Calculate i(h(d)). -5*d Let c(g) = -6*g. Let s(m) be the third derivative of -m**5/20 - 5*m**2. Determine c(s(k)). 18*k**2 Let t(m) be the third derivative of -m**4/6 - 4*m**2 - 3. Let y(d) = 0 + 0 + d**2. Give t(y(u)). -4*u**2 Let w(x) = -4*x + 2*x + x. Let r be -1*(-2)/2 - -5. Let u(m) = 4*m. Let y(v) = 17*v. Let d(s) = r*y(s) - 26*u(s). Give d(w(p)). 2*p Let l(n) = -2*n**2 + 33. Let x(c) = 2*c**2 - 32. Let g(a) = -5*l(a) - 6*x(a). Let m(d) = -d. What is m(g(b))? 2*b**2 - 27 Let p(b) be the third derivative of 0*b**3 + 0*b**4 + 0*b - 1/30*b**5 + 0 - b**2. Let q(n) = n**2 - 4*n**2 + 2*n**2. Give q(p(i)). -4*i**4 Let g(o) = 11*o - 2. Let y(l) = -539*l + 99. Let u(h) = -99*g(h) - 2*y(h). Let a(j) = -2*j**2. Determine u(a(q)). 22*q**2 Let k(f) be the first derivative of f**3 + 25. Let r(v) = -4*v. Calculate k(r(i)). 48*i**2 Suppose -s - 3 = 0, 3*h - s + 3 = -5*s. Let w(u) = -u + 3 - h. Let v(k) = k**2. Determine w(v(f)). -f**2 Let y(g) = 6*g. Let w(k) = 5*k. Let b(r) = -5*w(r) + 5*y(r). Let x(d) = 10*d**2 - 7*d. Let m(h) = 3*h**2 - 2*h. Let l(a) = -14*m(a) + 4*x(a). Determine l(b(p)). -50*p**2 Let t(o) be the first derivative of -o**4/8 + 3*o**2/2 - 3. Let r(n) be the second derivative of t(n). Let h(z) = 2*z. Determine r(h(u)). -6*u Let q(k) = 3*k**2. Let j(p) = -2*p**2. Let v(l) = 4*j(l) + 3*q(l). Let b(g) = -3*g. Give v(b(m)). 9*m**2 Suppose 3*h - 2 = 2*h. Let c(n) = 4*n**h + 0 - 2 + 2. Let t(i) = 2*i**2. Calculate c(t(g)). 16*g**4 Let n(y) = 10 - 10 + 23*y - 20*y. Let h(b) = b. Calculate h(n(z)). 3*z Let c(g) = 2*g**2. Let j(m) = 8 + 2*m - 1 + 2*m - 5. Determine c(j(q)). 32*q**2 + 32*q + 8 Let v(t) = -11*t**2 + 3. Let f(y) = -45*y**2 + 11. Let k(r) = -6*f(r) + 22*v(r). Let q(u) = -2*u**2. Calculate k(q(x)). 112*x**4 Let i(s) = -s**2. Let g(n) = -883*n + 1. Calculate i(g(l)). -779689*l**2 + 1766*l - 1 Let q(w) = 4*w + 11. Let r(j) = 14*j. What is q(r(i))? 56*i + 11 Let g(d) = 9*d - d + 0*d + 3*d. Let o(x) = -4*x. Calculate o(g(l)). -44*l Let c(d) = -d**2. Let q(g) = -425*g**2. Determine q(c(x)). -425*x**4 Let f(p) = -3*p. Let k(y) = -691*y. Give f(k(q)). 2073*q Let j(w) = -28*w. Let d(g) = 17*g**2. Calculate j(d(k)). -476*k**2 Let y(a) be the first derivative of a**3/3 + 52. Let g(s) be the third derivative of s**5/20 - s**2. Determine y(g(t)). 9*t**4 Let q(o) = 8*o - 3*o + 3*o. Let z(r) = 17*r. Let l(w) = -13*q(w) + 6*z(w). Let b(y) = 2*y**2. What is b(l(v))? 8*v**2 Let x(u) be the first derivative of -4*u**3/3 - 33. Let r(w) = 3*w. Give r(x(f)). -12*f**2 Let k(g) = 3*g. Let p(m) be the third derivative of -m**7/1260 - m**5/30 - 4*m**2. Let w(n) be the third derivative of p(n). Calculate k(w(s)). -12*s Let w(t) = t**2 + t**2 - 4*t**2. Let n(l) be the third derivative of -l**8/5040 - l**5/60 - l**2. Let y(d) be the third derivative of n(d). Determine w(y(z)). -32*z**4 Let m(c) = -4*c**2. Let h(k) = -10*k + 9. What is m(h(a))? -400*a**2 + 720*a - 324 Let o(c) be the third derivative of 0*c**4 + 0*c**3 - 1/60*c**5 + 0*c + 0 - 2*c**2. Let s(j) = -5*j**2. What is o(s(u))? -25*u**4 Let l(a) = 1 - 1 + 7*a. Suppose 0 = 4*g - 9 + 1. Let y(p) = 12*p - g*p**2 - 12*p. What is y(l(r))? -98*r**2 Let p(q) = 3*q. Let l(i) be the third derivative of -i**5/60 - 3*i**2. Calculate p(l(o)). -3*o**2 Let r(m) = 2*m**2 - 4*m + 4*m. Let z(g) be the third derivative of 5*g**4/24 - 2*g**2. Calculate r(z(l)). 50*l**2 Let d(a) = -5*a. Let v(j) = -6*j - 4. Give v(d(u)). 30*u - 4 Let h(b) = -19*b + 1. Let n(f) = f + 14. Calculate n(h(q)). -19*q + 15 Let d(w) = 2*w**2 + 54*w. Let a(z) = -20*z. Calculate a(d(n)). -40*n**2 - 1080*n Let f(u) = 5*u. Let s(h) = -15*h. Calculate s(f(j)). -75*j Let r(i) = 12*i. Let n = -9 - -16. Let a(v) = -2*v**2 - n*v + 7*v. What is a(r(f))? -288*f**2 Let o(x) = x**2. Let w(n) = 877*n. What is o(w(d))? 769129*d**2 Let q(n) = -1. Let r(p) = p + 1. Let g(d) = q(d) + r(d). Let a(z) = 2*z**2. Calculate g(a(j)). 2*j**2 Let d(q) = -55*q**2. Let f(n) be the first derivative of 3*n**2/2 - 37. Calculate f(d(g)). -165*g**2 Let k(c) be the third derivative of c**5/30 - 7*c**2. Let z(b) be the first derivative of -b**2 + 2. What is z(k(t))? -4*t**2 Let g(o) = -2*o + 0*o + 10*o - 5*o. Let l(i) = 1 + 2*i**2 - 1. What is l(g(z))? 18*z**2 Let w(q) = 5*q - 5. Let d(s) = -2*s**2 - 2*s. Give d(w(t)). -50*t**2 + 90*t - 40 Suppose -3*f - 4 = -5*h + f, -2*f + 4 = -h. Let v(m) = m**2 - 4*m + h*m. Let w(d) = -2 - 2*d + 2. Calculate v(w(q)). 4*q**2 Let g(b) be the second derivative of -b**4/6 - 15*b + 1. Let h(m) = -13*m**2. Determine g(h(o)). -338*o**4 Let w(m) = 10*m - 14. Let i(v) = -2*v + 3. Let j(b) = -14*i(b) - 3*w(b). Let g(d) = 3*d**2. Give j(g(z)). -6*z**2 Let v(s) = 2233*s. Let i(m) = -4*m. What is i(v(w))? -8932*w Let a(h) = 4*h. Let q(n) be the first derivative of n**3 - 11. Calculate q(a(v)). 48*v**2 Let x(f) = 8*f**2. Let z(v) = 8*v. Give x(z(i)). 512*i**2 Let v(f) = 7*f**2. Let a(m) = -m**2 - 5*m - 5. Let c(l) = l + 1. Let o(z) = 3*a(z) + 15*c(z). What is o(v(g))? -147*g**4 Let b(t) = 3*t. Let a(o) = o. Let s(j) = -2*a(j) + b(j). Let l(u) = -6 + 6 + 2*u + 3*u. Give l(s(h)). 5*h Let c(w) = -w**2 + 5*w + 2. Let r be c(5). Let f(t) = 5 - 10 + 5 - 5*t**r. Let h(q) = q. What is h(f(g))? -5*g**2 Let d(s) = -s**2. Let b(c) = c + 5. Let i be b(-5). Let m be ((-2)/3 + i)*-3. Let q(l) = -3*l + 2*l**m + 3*l. Calculate q(d(k)). 2*k**4 Let g(v) = 154*v**2. Let f(o) = 2*o**2. Determine g(f(b)). 616*b**4 Let r(m) = -m. Let z(l) be the first derivative of -2*l**3/3 - 2*l**2 - 1. Let b(f) = 4*r(f) - z(f). Let c(q) = -2*q. What is b(c(d))? 8*d**2 Suppose 1 = -3*y + 7. Let k(c) = 3*c**y + 0*c**2 - 2*c**2. Let x(o) = -o**2 + 4*o**2 + o**2 - o**2. Give k(x(w)). 9*w**4 Let z(n) = 3*n**2. Let t(i) = 131*i - 1. Determine t(z(m)). 393*m**2 - 1 Let b(q) = 13*q - 13*q - q**2. Let i(r) be the first derivative of -r**3/3 + 3. What is i(b(p))? -p**4 Let d(n) = 2071*n. Let b(f) = 2*f**2. Determine d(b(s)). 4142*s**2 Let o = 10 + -5. Let f = o - 10. Let l(x) = 3*x**2 + 5*x -
{ "pile_set_name": "DM Mathematics" }
fy (-4*2*sqrt(49)*-2)/(6*sqrt(28)*-2 + sqrt(28)) + 0. -8*sqrt(7)/11 Simplify 2*(5 + sqrt(1008) + ((1 + sqrt(1008))*1)**2 + (1 + sqrt(1008) - sqrt(1008))**2 + -3 + -4). 72*sqrt(7) + 2016 Simplify (-2 + sqrt(245) + 3 - (sqrt(245) + sqrt(245)*3 + -4)) + 0 + (1 + sqrt(245))*-3 + 2 + -2. -42*sqrt(5) + 2 Simplify (3 + ((0 + sqrt(2736))*-5 - ((-2 + sqrt(2736) - sqrt(2736))*-2 - sqrt(2736))) + -5 + -1)**2. 672*sqrt(19) + 43825 Simplify -1*6*(sqrt(130)/(2*sqrt(40)) + (2 + sqrt(117) + -2)**2). -702 - 3*sqrt(13)/2 Simplify (-5*(-1*(sqrt(70) + sqrt(70)*-1) + (-4*1*sqrt(70) - sqrt(70)) + sqrt(70)))/((-1*sqrt(100)*-6)/(sqrt(20)/(2*sqrt(2)))). 5*sqrt(7)/3 Simplify (1*((-3*(-1*sqrt(208) + -5) - (-2*sqrt(208) + -1 + 4)) + 0))**2. 480*sqrt(13) + 5344 Simplify (-3*-5*(sqrt(539) + 2)*-2 + 4 + -3 + -3)*-1. 62 + 210*sqrt(11) Simplify -2*sqrt(72)/(sqrt(45)/sqrt(5)) - (-4 + 2*((sqrt(2) + -1)*3)**2). -50 + 32*sqrt(2) Simplify 0 + ((sqrt(88)/(sqrt(4)*2) - sqrt(242)/sqrt(99))/(sqrt(2156) + (sqrt(2156) - 1*sqrt(2156))))**2 + 4. 14113/3528 Simplify (-2*sqrt(180) + sqrt(90)/sqrt(18))/((sqrt(432)/(sqrt(12) - 2*sqrt(12)))/(1*sqrt(4)*-1)). -11*sqrt(5)/3 Simplify -2 + (1*sqrt(2240)*1 - sqrt(2240))/(((sqrt(300)/sqrt(6) + sqrt(50))*6)/sqrt(10)). -2 Simplify (((4 + sqrt(1008))*6*-1 + (sqrt(1008) + 2 + 2 - (1 + -2*sqrt(1008))))*5)**2. 37800*sqrt(7) + 237825 Simplify (-3 + (sqrt(88)/(sqrt(56)/sqrt(28)) + (sqrt(539)*-1 - (sqrt(704)*2 - sqrt(11)))**2)*-5)*-5*-6. -798690 - 300*sqrt(11) Simplify ((1*sqrt(72) + sqrt(72))*-6 - (1 + sqrt(2) + -3)*4) + (-1*sqrt(2)*4 - -3*1*sqrt(2))**2 + (((sqrt(20) - (sqrt(20) + 1*sqrt(20)))*6)/sqrt(10))**2. -76*sqrt(2) + 82 Simplify -2 + sqrt(128) + sqrt(128) + (sqrt(128) + 1 + sqrt(128)*-1)**2 + ((-1*sqrt(6))/sqrt(3))**2 + 3 + -1. 3 + 16*sqrt(2) Simplify (-2 + -1*sqrt(605))**2 + (sqrt(605) - 2*((2 + sqrt(605))**2 + sqrt(605))) + 5 + (sqrt(405) - (sqrt(405) + -1*(sqrt(405)*2 + sqrt(405))))**2. -55*sqrt(5) + 3041 Simplify (-1 + (-5*(sqrt(128) + 1))**2 - ((sqrt(4) - -6*1*sqrt(4))/(sqrt(12)/(sqrt(6) - (sqrt(6) + sqrt(6)*-1))))**2)*3. 1200*sqrt(2) + 9378 Simplify (((sqrt(156) - 1*sqrt(156))*-4 - sqrt(156)*3*-5)/((-1*sqrt(96))/sqrt(8)*-2))**2 + 3. 2937/4 Simplify ((1*sqrt(441) - sqrt(441))*1)/(5*3*-2*sqrt(3))*-6. 0 Simplify -1*(5*(0 + ((sqrt(200)*1)/sqrt(4))/(sqrt(80)/sqrt(128)))**2 + -5). -395 Simplify (sqrt(300)/((sqrt(200)/sqrt(4))/sqrt(5))*-3)/((-6*sqrt(168))/sqrt(7)*-3). -sqrt(5)/12 Simplify ((sqrt(68)*2*2 - (-2*2*sqrt(68) - sqrt(68)))*1*2)/(sqrt(44)/(6*-2*sqrt(11)) + 3*((sqrt(100) - 2*sqrt(100)) + sqrt(100) - sqrt(100))). -216*sqrt(17)/181 Simplify ((sqrt(1216) - (-1 + sqrt(1216))) + -3)**2 + 0 + 1 + (sqrt(171)/sqrt(9))**2 + -4 + 0. 20 Simplify -5 + (6*(1*sqrt(68) + 1) - -6*(2 + sqrt(68))*2)*-1. -36*sqrt(17) - 35 Simplify (-5 + ((sqrt(30)/sqrt(2))/sqrt(3) + sqrt(5) + sqrt(5) + -4*2*sqrt(5))*-2 + -4 + (sqrt(125) + 4)*4*-6)**2. 23100*sqrt(5) + 71525 Simplify (-5*(4 + -2 + -5 + 4*(-1 + sqrt(243) + -5 - 1*-1*sqrt(243))))**2. -97200*sqrt(3) + 407025 Simplify -3 + (sqrt(13) - (sqrt(104)*1)/sqrt(8) - -1*sqrt(65)/sqrt(5)) + (sqrt(325)*2 + sqrt(325) - sqrt(156)/(sqrt(12)*-2))**2*-1. -12505/4 + sqrt(13) Simplify 4 + (3 + (2*sqrt(1300) + sqrt(156)/(sqrt(48)/sqrt(4) + sqrt(12) - sqrt(12)) - (3 + sqrt(13)*-1 + sqrt(143)/sqrt(275) + sqrt(13))))**2. 140708/25 Simplify (sqrt(504)/sqrt(32))**2 + -2 + 5 + ((sqrt(7)*2 + 1)*3)**2. 36*sqrt(7) + 1119/4 Simplify 4*(5 + 1*sqrt(425) + sqrt(425) + -2 + sqrt(425) + -4 + sqrt(425))**2 + -4 + -5. -160*sqrt(17) + 27195 Simplify -4 + (((-4 + sqrt(320))*-1 + 5 + -2 + sqrt(320))**2 + 0)*-2. -102 Simplify ((sqrt(252) - (-2*sqrt(252) - sqrt(252)))*-3 - sqrt(252) - -3*(-2*sqrt(252) - sqrt(252)) - -6*(sqrt(252) + 1)*2) + -1 + 2. -60*sqrt(7) + 13 Simplify (-2*sqrt(63) - sqrt(77)/sqrt(176))**2 + ((sqrt(77) - 2*sqrt(77))*6)/sqrt(11) + -1. -6*sqrt(7) + 4359/16 Simplify -1 + (0 + (sqrt(17) - sqrt(425)) + 1 + sqrt(425) + -4 + -1 + -1 + 3)**2. -4*sqrt(17) + 20 Simplify (sqrt(117) + 4*(sqrt(117) + (sqrt(117)*3 - sqrt(117))) + (sqrt(117) - sqrt(117)*1*4))/(-3*-2*sqrt(900) + sqrt(900) + sqrt(900) + sqrt(900)*2*3)*1. sqrt(13)/14 Simplify -6*(3 + -4*(sqrt(1539)*1 + sqrt(1539)) - ((-2*sqrt(1539) + -2)**2 + -3 + (sqrt(1539)*2)**2))*2. 1728*sqrt(19) + 147720 Simplify (6*(sqrt(18)/(sqrt(6)*-4) + sqrt(3)) + (-4*-1*sqrt(75))**2 + 0)*-2. -2400 - 9*sqrt(3) Simplify (-5*(0 + 4*(sqrt(209) - (sqrt(209) - -2*sqrt(209))*3 - sqrt(209))/((sqrt(66)*1)/sqrt(6))*-2) + 0)**2. 2462400 Simplify -2 + ((2*sqrt(28)*-1*-3)/(sqrt(36)*-1 - (sqrt(8)*-2 + sqrt(8))/sqrt(2))*5)**2. 1573 Simplify -3*(-2 + -2*(sqrt(405)*-2 + sqrt(405))*-2*6)**2*-5. 12960*sqrt(5) + 3499260 Simplify (sqrt(3888)*-2*-6 - (sqrt(3888) - (6*sqrt(3888)*2 + sqrt(3888) - sqrt(3888))))/((sqrt(324) - (sqrt(324) + -3*-1*sqrt(324) + sqrt(324) - sqrt(324)))*5). -46*sqrt(3)/15 Simplify 5 + 1 + 5*((-3 + (sqrt(77) + -1*sqrt(77)*-1)/((sqrt(121)*1)/sqrt(11)))**2 + 5). -60*sqrt(7) + 216 Simplify ((sqrt(70) + sqrt(70)*-1*-6 + sqrt(70) + -2*(sqrt(70) - sqrt(70)*3))/(((2*sqrt(100) + sqrt(100))*-2 + sqrt(100))/(-2*sqrt(490))))**2. 197568/25 Simplify (sqrt(135)/(sqrt(3) - (sqrt(3) + sqrt(363) + (sqrt(363) - (sqrt(363)*1 + sqrt(363)))) - sqrt(3))*-3)/(sqrt(225)*-3 - sqrt(81)/(sqrt(9)*1)). -3*sqrt(5)/16 Simplify (sqrt(567) - (sqrt(567) + -1 + sqrt(567))**2) + sqrt(567) - sqrt(49)/(sqrt(49)/sqrt(7)) - (-3 + sqrt(847)*-4 + 1). -2267 + 97*sqrt(7) Simplify -5*(1 + (sqrt(1584)*1)**2 + 4) + (sqrt(11) - ((sqrt(99))**2 + 5) - sqrt(11))*-2 + (sqrt(1584) + 0)**2*-6. -17241 Simplify (-4*(sqrt(85) + (sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*2 - sqrt(85))*-5)) - sqrt(85))*-3)/((5*sqrt(405))/(3*(-2*sqrt(9) + sqrt(9)))). 24*sqrt(17) Simplify -1*((5*(sqrt(891) + 1 + -2*sqrt(891) + sqrt(891)))**2 + 6*(3 + (0 + sqrt(891))**2)). -5389 Simplify ((sqrt(102) - (sqrt(102) - (-1*sqrt(102) + sqrt(102))))*1 + (sqrt(102)*3 + sqrt(102) + sqrt(102) + sqrt(102))*3)/(-6*5*sqrt(150)*-2). 3*sqrt(17)/50 Simplify (((sqrt(77) - 2*sqrt(77) - sqrt(77))*6 + (sqrt(77)*3 - sqrt(77) - sqrt(77))*-3)/(sqrt(55)/(sqrt(15)/sqrt(3)) + -1*sqrt(891) + sqrt(891)))**2. 1575 Simplify 2 + (((0 + sqrt(252))*4 + sqrt(252))**2 + -3 + -1*((sqrt(56) - sqrt(224))/sqrt(8) + sqrt(7) + -2))*5. 31497 Simplify (-1 + -3 + 2*sqrt(847)*2 - (sqrt(567) - 3*sqrt(567) - (sqrt(7) - sqrt(567)*1))*4)**2. -672*sqrt(7) + 49408 Simplify (sqrt(140)/sqrt(100)*4)/(sqrt(567)*-1*-2)*-4. -8*sqrt(5)/45 Simplify (-3 + (2*(1 + 2*(sqrt(1728) + 2*sqrt(1728)))*-1)**2)*-4. -995332 - 4608*sqrt(3) Simplify (5*1*(2*sqrt(88) + sqrt(88))*2)/(3*(sqrt(648) + (-5*(sqrt(648) + sqrt(648)*4) - sqrt(648)))). -2*sqrt(11)/45 Simplify (5*sqrt(95)*3 - ((sqrt(95) - (sqrt(95) - (1*1*sqrt(95) + sqrt(95)))) + sqrt(95)))/((-3*sqrt(35)*-2)/(-3*sqrt(7)*1)). -6*sqrt(19) Simplify ((sqrt(34) - (sqrt(136)*2)/sqrt(4) - (sqrt(408)*-2)/sqrt(12))*-3)/(((-2*sqrt(12) + sqrt(12))/sqrt(2))/((sqrt(3) - sqrt(3)*-1)*6)). 36*sqrt(17) Simplify (1*(-3 + 1 + sqrt(68) + 3 + sqrt(68))*3*2)**2. 288*sqrt(17) + 9828 Simplify -2*(1*(3 + (sqrt(171)*2*-3)**2 + (-4*(-1*sqrt(171) + sqrt(171))**2 - (sqrt(171) + (1 + sqrt(171))*4))) + -5). -12300 + 30*sqrt(19) Simplify (((sqrt(200) + sqrt(200) + 2)*-6 - (sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) + -1 - sqrt(200))) + 1)) + -1)**2 + -2 + 1. 4500*sqrt(2) + 45224 Simplify ((sqrt(228) + (2*sqrt(228) - sqrt(228))*-3 - sqrt(228)*-2*3)*4)/((sqrt(120) - -5*-2*sqrt(120))/((sqrt(20)/sqrt(2) + sqrt(10) - sqrt(10))*6)). -32*sqrt(19)/3 Simplify -2*((2*sqrt(84)/sqrt(4) + sqrt(21) - (2*sqrt(189))/sqrt(9))/(sqrt(112) - -1*sqrt(112) - (sqrt(245)/sqrt(5))/sqrt(7)) + 4). -8 - 2*sqrt(3)/7 Simplify (-3*(-5 + 1*(-3 + -2*sqrt(1100) - (sqrt(1100) - (1 + sqrt(1100)*2)))) + 2)**2. 1380*sqrt(11) + 10429 Simplify 2*(3 + ((sqrt(392)/(sqrt(8) - sqrt(648)*2))/(sqrt(63)/(-1*sqrt(81))))**2). 1860/289 Simplify 1*sqrt(2057) + sqrt(17) + (sqrt(17)*-3)**2*-5 + -4 + ((-5*(sqrt(68)*2 + sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)))/(-2*sqrt(256)))**2. -11879/16 + 12*sqrt(17) Simplify ((4*4*(-1*(1*sqrt(152) + sqrt(152)) - sqrt(152)))/(sqrt(56)/sqrt(7)*-3 - -5*sqrt(200)))**2. 10944/121 Simplify (sqrt(405) + (sqrt(405) - (sqrt(405) + 4)) + -5 - 2*sqrt(405)*4)**2 + -3 + ((-1 + sqrt(405) + sqrt(405))*-3 + sqrt(405) + 1*sqrt(405)*-2)**2. 756*sqrt(5) + 397
{ "pile_set_name": "DM Mathematics" }
olve -395*t + 2974 = -8481 for t. 29 Solve 83*j + 656 = -30*j + 72*j for j. -16 Solve 0 = -8*i - 1 + 6 + 19 for i. 3 Solve 17*u - 28 = -0*u - 11*u for u. 1 Solve -14*a - 20*a = 10*a - 88 for a. 2 Solve -1198*w = -1177*w + 315 for w. -15 Solve -134*h - 142*h = -78*h + 990 for h. -5 Solve 38 = -24*w + 89 + 93 for w. 6 Solve -w + 175 = 101 + 87 for w. -13 Solve -299*z + 311*z + 108 = 0 for z. -9 Solve -262*c - 722 = 1112 for c. -7 Solve -668*k - 36 = -650*k for k. -2 Solve -352*x + 93*x - 153*x = 9888 for x. -24 Solve -980 = 56*k + 14*k for k. -14 Solve -32937*i + 32894*i - 579 - 797 = 0 for i. -32 Solve -41 = 395*j - 411*j + 215 for j. 16 Solve -69*r + 30 = -2*r - 37 for r. 1 Solve -18*g - 385 = 389 - 684 for g. -5 Solve 0 = 30*j - 816 + 190 + 116 for j. 17 Solve 1191 + 3732 = -208*x + 555 for x. -21 Solve 132*l = 122*l + 30 for l. 3 Solve 34*y - 693 = -455 for y. 7 Solve -35*g - 97 = -21*g + 71 for g. -12 Solve 1230 = 11*s + 43*s + 28*s for s. 15 Solve -8 + 35 = -4*y + 55 for y. 7 Solve 33*y = 93*y - 43*y - 340 for y. 20 Solve -2856*m + 110 = -2851*m for m. 22 Solve 0 = -45*u + 246 + 249 for u. 11 Solve 0 = 31*h + 949 - 1073 for h. 4 Solve 524*q - 4488 = -224*q for q. 6 Solve -12*l - 452 + 368 = 0 for l. -7 Solve 99*r - 1276 = 41*r for r. 22 Solve -3*n + 10 = -2*n + n for n. 5 Solve 478*y - 451*y + 567 = 0 for y. -21 Solve 463*c + 8241 = 2222 for c. -13 Solve -29*p = 39*p - 1696 + 948 for p. 11 Solve 465*x + 469*x - 1067 = 1031*x for x. -11 Solve -67*b - 420*b + 130*b = 7140 for b. -20 Solve 0 = -72*o + 86*o - 165 - 115 for o. 20 Solve -1051 = -79*c - 103 for c. 12 Solve 0 = -45*m - 112 - 113 for m. -5 Solve -17*q - 7*q = -6*q - 234 for q. 13 Solve -10*j + 3*j = 277 - 396 for j. 17 Solve -1584 = -37*h - 1251 for h. 9 Solve 642 - 261 = -130*w + 3*w for w. -3 Solve -82*t + 176 = 261*t - 167 for t. 1 Solve 8*p = 38 - 118 for p. -10 Solve -69*v + 97 = -524 for v. 9 Solve 0 = 130001*h - 130069*h - 1836 for h. -27 Solve 23841 = -41*s - 671*s - 171*s for s. -27 Solve 125*q - 240 = 64*q + 73*q for q. -20 Solve -267*s + 78 = -280*s for s. -6 Solve -6186*w + 6120*w = -132 for w. 2 Solve 41*p = -218*p + 35*p + 2912 for p. 13 Solve 90*q = -13*q + 630 + 606 for q. 12 Solve 0 = i - 1743 + 1733 for i. 10 Solve -7*a + 33*a = -279*a + 3965 for a. 13 Solve -1059*b + 646 + 5708 = 0 for b. 6 Solve 160*u - 151*u - 27 = 18 for u. 5 Solve -10*i - 154 + 31 + 83 = 0 for i. -4 Solve -9234 = -225*t - 117*t for t. 27 Solve 95*i - 1640 = -69*i for i. 10 Solve 138*s - 8388 = 604*s for s. -18 Solve 172*c = -1544 - 692 for c. -13 Solve 0 = 394*c + 32*c - 2754 - 7044 for c. 23 Solve 0 = -227*i + 199 - 1107 for i. -4 Solve -86 + 26 = 15*y + 45 for y. -7 Solve -13*d + 287 = 21*d + 7*d for d. 7 Solve 90*u = 22*u + 205 + 135 for u. 5 Solve -232*f + 3351 = 567 for f. 12 Solve 1133 = 21*f + 1574 for f. -21 Solve 253*q - 71 = 236*q + 116 for q. 11 Solve -64*j + 29*j = 245 for j. -7 Solve -53*s + 119 = 192 + 404 for s. -9 Solve 2623 = 45*w + 1948 for w. 15 Solve 0 = 50*p - 332*p - 885 - 243 for p. -4 Solve -27560*q + 658 = -27466*q for q. 7 Solve 64*u - 3051 = -101*u + 52*u for u. 27 Solve -75*s - 28*s = -57*s - 874 for s. 19 Solve 0 = -40*y + 185*y - 1595 for y. 11 Solve 20*v - 280 + 5 = 45*v for v. -11 Solve -194*r = -388*r + 198*r for r. 0 Solve t + 92*t + 907 - 256 = 0 for t. -7 Solve 154*y + 1476 = -772 + 554 for y. -11 Solve -858 = 49*q - 417 for q. -9 Solve -1841 = 768*s + 14287 for s. -21 Solve -23*g + 4*g + 17 = -2 for g. 1 Solve -5*z + 6*z - 1 = 3 for z. 4 Solve -1 = -0*p + 10*p - 61 for p. 6 Solve -828 - 3821 = 508*h + 939 for h. -11 Solve -96*l = 2308 - 1540 for l. -8 Solve -923*v = 27887 + 2572 for v. -33 Solve 0 = -772*n + 842*n for n. 0 Solve -22*s + 221 = -218 + 109 for s. 15 Solve 25*d - 33*d - 728 = 18*d for d. -28 Solve -110 - 744 = 122*v for v. -7 Solve 49*h - 18*h + 202 = 698 for h. 16 Solve -40 - 20 + 16 = 11*b for b. -4 Solve -6*t = 406*t - 7004 for t. 17 Solve 83*y + 3 = -101*y + 3 for y. 0 Solve 81*u + 624 = 29*u for u. -12 Solve -3264 = -119*d - 724 + 435 for d. 25 Solve -132*p + 1327 + 247 = -670 for p. 17 Solve 474*l - 249*l - 245*l = 460 for l. -23 Solve 1369*c = 1380*c - 132 for c. 12 Solve -5*x - 240522 + 240487 = 0 for x. -7 Solve 56*v - 163*v = 856 for v. -8 Solve 1455*f = 1353*f + 1326 for f. 13 Solve 4 = 171*q - 183*q - 8 for q. -1 Solve 6*b + 39 = -33*b for b. -1 Solve 8*d + 46 = 164 - 86 for d. 4 Solve -65 = -30*n + 85 for n. 5 Solve 8*m - 20 = -125 - 87 for m. -24 Solve 316 = -6*w - 7*w + 92*w for w. 4 Solve 0 = -48*f - 286*f - 30*f - 4368 for f. -12 Solve -292*m = -369*m - 462 for m. -6 Solve 38*f + 1718 = 146*f + 314 for f. 13 Solve 67*g + 2448 - 2515 = 0 for g. 1 Solve -59*w + 1661 = 1130 for w. 9 Solve -1139 + 1741 = -43*u for u. -14 Solve 65*d - 312*d - 349*d - 7152 = 0 for d. -12 Solve 6288*w - 6249*w = 1131 for w. 29 Solve 0 = 21*p - 1652 + 1925 for p. -13 Solve -4778 = -8*b - 4994 for b. -27 Solve -24*q = 13*q + 555 for q. -15 Solve -3*p + 8*p + 4*p + 72 = 0 for p. -8 Solve 0 = 2874*y - 2864*y - 110 for y. 11 Solve -474*p = -523*p + 588 for p. 12 Solve l - 1794 = 14*l - 1937 for l. 11 Solve 6465*r + 410 = 6424*r for r. -10 Solve -9671 = -10*s - 9731 for s. -6 Solve 34*r + 71 = -75 + 146 for r. 0 Solve -18*o - 7*o - 846 = -421 for o. -17 Solve 28*a = -11001 + 10721 for a. -10 Solve -885*l + 1508 = -195*l - 1252 for l. 4 Solve -53*f - 36 = -38*f - 6 for f. -2 Solve -91*o + 179 = 907 for o. -8 Solve 976 = 13*f + 1119 for f. -11 Solve 67*k + 151 = 21*k - 125 for k. -6 Solve -120*v + 123 = -123 - 234 for v. 4 Solve -689*j + 45 = -644*j for j. 1 Solve 83*g + 139787 = 137878 for g. -23 Solve -49*g - 76*g - 1812 = 26*g for g. -12 Solve 112*y - 21 = 96 + 219 for y. 3 Solve 135*y + 41*y - 3599 = -8527 for y. -28 Solve 121*p + 132 = -118*p + 228*p for p. -12 Solve 139*m + 119 = 59*m + 73*m for m. -17 Solve 10*m - 378 = 6*m - 17*m for m. 18 Solve -186*i = -31562 + 30074 for i. 8 Solve 4*d - 96 = -17*d + 51 for d. 7 Solve -359 = 18*b - 377 for b. 1 Solve -961*p = -1999 + 13934 + 4402 for p. -17 Solve -53370*k - 892 = -53147*k for k. -4 Solve 41*i = -422 - 70 for i. -12 Solve 2998*h - 2692*h = -4590 for h. -15 Solve -54*z = -70*z - 64 for z. -4 Solve 129*k = -109*k + 1666 for k. 7 Solve 0 = -38*t - 138 + 24 for t. -3 Solve 21 = 855*q - 862*q for q. -3 Solve 2150 = -43*b - 43*b for b. -25 Solve -996 = -51*i - 17 - 10 for i. 19 Solve 45*d - 1228 = 311*d - 430 for d. -3 Solve 1797*x - 1254 = 1764*x for x. 38 Solve 1179 = -46*l + 351 for l. -18 Solve 3132*w - 2958*w = 0 for w. 0 Solve -455*h = -489*h - 408 for h. -12 Solve 276 = -16*i + 100 for i. -11 Solve 47*c + 415 + 323 = -35*c for c. -9 Solve 13237 = -35*v + 13797 for v. 16 Solve -4346 = 163*k - 27 + 82 for k. -27 Solve -83*r + 59 = -97*r - 11 for r. -5 Solve 29*r + 2706 = 480*r for r. 6 Solve 13*f - 18*f - 28*f - 330 = 0 for f. -10 Solve 65*h + 118*h + 2928 = 0 for h. -16 Solve 336 = 125*b + 43*b for b. 2 Solve 65*z + 11735 = 11865 for z. 2 Solve 4*r + 20 = 9*r for r. 4 Solve 10*j + 1045 = -14*j - 71*j for j. -11 Solve -58 + 17 = -29*d + 481 for d. 18 Solve a + 8*a + 133 - 16 = 0 for a. -13 Solve -47*j + 2718455 = 2717327 for j. 24 Solve 0 = 48*a + 164*a - 1696 for a. 8 Solve 692*u + 6453 = 29981 for u. 34 Solve -4596 = -16*v - 4500 for v. 6 Solve -1141 = -8877*g + 8714*g for g. 7 Solve -358*r = -506 + 1580 for r. -3 Solve 0 = 73*l + 33*l - 637 + 107 for l. 5 Solve 59*c + 162 + 133 = 0 for c. -5 Solve -87*s + 901 + 384 = -107 for s. 16 Solve 78*j - 530 = -12 + 496 for j. 13 Solve 0 = 79*x + 139*x - 48*x + 4420 for x. -26 Solve 66*j - 923 = 190 + 603 for j. 26 Solve 49*g + 98 = 20*g - 47 for g. -5 Solve 30*c + 54*c + 5*c = -445 for c. -5 Solve 647*c - 528*c = 0 for c. 0 Solve -79*f = 92*f + 205*f + 5264 for f. -14 Solve -201*q + 279*q = -858 for q. -11 Solve -385*q - 261*q - 7394 = -288 for q. -11 Solve 67*r + 176 + 36 = -391 for r. -9 Solve 182*j - 234*j + 260 = 0 for j. 5 Solve -159*y = -201 - 117 for y. 2 Solve -12099*l - 27 = -12108*l for l. 3 Solve 403*h - 97*h = -4284 for h. -14 Solve -984 + 1442 + 2342 = 100*l for l. 28 Solve 4*x - 27*x - 326 + 303 = 0 for x. -1 Solve 196*i = 374*i - 2848 for i. 16 Solve 147*k - 152*k + 120 = 0 for k. 24 Solve 1690*z - 1617*z - 657 = 0 for z. 9 Solve 23*j =
{ "pile_set_name": "DM Mathematics" }
o = -f + 376, -o - 1958 = -f - 4*f. Is f composite? True Suppose 2370 = h + 3*x, 6*h = 3*h - 5*x + 7098. Is h a composite number? True Suppose 3*p = -3*y + 48, -5*y + 97 = -3*p + 25. Let n be 1 + 1 + -4 + y. Suppose -152 = -4*x - 4*a, x - 2*a = 2*a + n. Is x composite? True Let j(r) = r**3 + 4*r**2 - r - 3. Let w be j(-4). Let g be 1 + 1 + (3 - 5) - 3. Is (g/w)/(3/(-7)) composite? False Suppose -3 = p - 7. Suppose -5*s = -2*t - 15, -4*s + p + 8 = 0. Suppose i - 48 = -v, 5*i = -2*v - t*v + 243. Is i composite? True Suppose 0 = -4*t + t + 480. Suppose 101 = 5*r - 2*u - t, 2*r - 96 = 5*u. Is r prime? True Let t be (1 - -2)*1/1. Let y be 2/t + 338/6. Suppose 5*b + 2*u = y, -u + 1 = 5. Is b a prime number? True Suppose -2324 = -7*s + 3*s. Is s a composite number? True Suppose -4*y + 2*w - 46 = 0, 2*y - y + 5*w - 5 = 0. Is (-6834)/y + 22/(-55) a prime number? True Suppose 5*u - 6315 = 4*k, -2*u = 2*k + 2*k - 2498. Is u prime? True Let i = -650 - -981. Is i composite? False Suppose 2*u + 20 = -4*n, 2*u + n + 25 = -4*n. Suppose z = -u*z + 4. Suppose z*b - 18 = 34. Is b a composite number? False Suppose 4*f - 216 - 136 = 0. Suppose 3*t - f = 11. Is t composite? True Let q(s) = 4*s**2 - 2*s**3 + 3*s**3 + 0*s**3 + 5. Let r be q(-4). Suppose 0 = -4*f + r*x + 122, -2*f + x = -36 - 28. Is f prime? False Let k(a) = -a**3 + 14*a**2 - 13*a + 3. Let g be k(13). Suppose -5*l = -g*l + n - 371, -2*n = 2*l - 372. Is l a prime number? False Suppose -2*v - 7 = o, 8*o - 3*o + 20 = -5*v. Let f(d) = -10*d**2 - 4*d - 3 + 15*d**2 + d. Is f(v) a prime number? False Suppose 3*x + 126 = 3*f, -2*x - 226 = 3*x + 3*f. Let m(c) = -c**3 - 9*c**2 + 4*c + 3. Let s be m(-10). Let y = s + x. Is y composite? False Suppose -4610 = -4*d + 3*c, 4*d + d = 4*c + 5763. Is d a composite number? False Let r(g) be the second derivative of -g**5/20 - 11*g**4/12 - g**3/2 - 7*g**2 + 3*g. Is r(-11) composite? False Let u(r) = 3*r**2 + 4*r + 3. Let b be u(-2). Let g = -3 + b. Suppose -165 = -g*x - x. Is x prime? False Let v = -4 - -4. Suppose v = -5*t - 4*g - 315, 2*g - 82 + 19 = t. Let c = -28 - t. Is c composite? True Let g be 20/6*18/5. Suppose -k + 79 - g = 0. Is k a composite number? False Let m = -1829 + 2680. Is m prime? False Let t be (1 + -27)*(-11 + 5). Suppose -2*c + t = -210. Suppose -2*x + 8*w - 3*w + c = 0, 0 = -4*x + 4*w + 336. Is x a composite number? False Let w be (9/3 - -2)*-2. Let q be (-40)/(-25) - 4/w. Suppose -q*s + s + 53 = 0. Is s composite? False Suppose -24233 = 22*h - 33*h. Is h prime? True Let c be (-2)/3*(-15)/10. Let l be 212*c*1/(-2). Let s = 183 + l. Is s composite? True Let u = -2 + -1. Is (1*u)/(3/(-51)) composite? True Suppose -3 = -f, 0 = 3*u + f - 140 + 26. Suppose -4*z = w - u, 7*w = 3*z + 2*w - 22. Let q = z + 12. Is q composite? True Let t(z) = -2*z**3 - 10*z**2 - 6*z + 7. Let x = -12 - -6. Is t(x) prime? False Let y = 50 - -14. Let j = 111 - y. Is j composite? False Let m(p) = -p**2 + 8*p - 10. Let f be m(4). Is (-1)/f + 6028/24 composite? False Suppose 2*d - 3*d = -4. Suppose d*k - 29 = -5*g, g - 2*k - 13 = -2*g. Suppose -5*s - 3*v + 180 = 2*v, -3*s + 68 = -g*v. Is s a composite number? False Let h(o) = o**3 - 3*o**2 - 5*o + 1. Suppose -3*t + 10 + 8 = 0. Is h(t) a composite number? False Suppose 6 = -5*j + 3*m, 2*j + 0*j - 4*m = 6. Is ((-51)/j - -2)*1 composite? False Let d be 7/((-21)/(-6)) - 1. Suppose -306 = -3*q - 3*m, 0 = -m - 0 - d. Is q a composite number? False Suppose 4*c + 5*b + 0*b = -47, 3*c = b - 21. Let m = c + 13. Suppose 4*n + 23 = z, 5*z - 4*n + m*n = 115. Is z prime? True Let h(u) = -2*u**2 + 31*u + 11. Is h(14) a composite number? False Let q(x) be the third derivative of 0 - 7/60*x**5 - 1/120*x**6 + 0*x - 2*x**2 + 1/6*x**3 + 1/6*x**4. Is q(-8) a prime number? False Suppose -2*u + 641 = -69. Is u composite? True Is 1/2 - 7740/(-24) a prime number? False Let y(n) = n**2 + 2*n - 3. Let d be y(2). Let p = d - 8. Is (p/9)/((-1)/381) a prime number? True Suppose -4*n + 43 = -105. Let l = n - -18. Is l a prime number? False Suppose 8 = m + 74. Let b = m + 155. Is b a composite number? False Suppose -2*h = -h - 7. Suppose -195 = -h*o + 2*o. Is o prime? False Suppose 622 = 4*s - 2*j, 0 = 2*s - 3*j + 6*j - 323. Is s prime? True Suppose -w + 1777 = -556. Is w prime? True Let b be (0 + -5)*(-1)/(-1). Let y be (-39)/(-15) - 2/b. Suppose 2*j - y*j + 111 = 2*c, -c + 234 = 2*j. Is j a composite number? True Let q(k) = -k**2 + 5*k - 1. Let f be q(3). Suppose f*i - 1309 = -t - 3*t, -t = -4*i - 343. Is t composite? False Let m(f) = 4*f**3 + 6*f + 3*f**3 - 7*f**2 - 3*f**3 - 3*f**3 + 7. Let p = 9 + -3. Is m(p) a prime number? True Suppose -w - 1012 = -5*w. Is w composite? True Let h(t) = t + 3. Let j = 6 - 14. Let s be h(j). Let x(m) = -8*m - 3. Is x(s) prime? True Suppose -2*q = -3*y - q + 212, -3*q = -2*y + 139. Is y composite? False Let r = -2667 + 4610. Is r composite? True Suppose 2*d - 1034 = -238. Suppose 3*s - d = -59. Is s a prime number? True Suppose -n = -q + 15, q - 3*q + 4*n + 32 = 0. Suppose 0 = -3*s + 4*t + 35 - q, 6 = 5*s + 3*t. Suppose 0 = s*o + 2*o - 75. Is o a prime number? False Let v(j) = -j - 3. Let h be v(-6). Let x(t) = 5*t. Let u be x(1). Suppose u = -h*q + 254. Is q a prime number? True Let s = 5595 - 1802. Is s prime? True Let k = -19 - -24. Suppose -575 = -3*a + d, -2*d - 386 = 3*a - k*a. Is a composite? False Suppose 4*c - 371 = -g, -2*g + 0*c + 712 = 2*c. Suppose 0 = 4*z - i - g, 4*z - 30 - 336 = -2*i. Is z a prime number? True Let c(w) = -15*w + 5. Let l be c(6). Let v = l + 170. Is v composite? True Suppose -3*g = -2*j + 6, 0*j - 3*g = 5*j + 6. Let a = 2 + -3. Is a*-1*9 - j composite? True Suppose -q = -5*q + 116. Suppose -3*v + 5*v = -20. Let b = v + q. Is b a prime number? True Let a = 16 + 243. Is a composite? True Let h = 328 - -398. Suppose -5*x + h = -289. Is x a composite number? True Let u be 136/12*1*3. Let i = u + 37. Is i a composite number? False Let c(h) = h**3 + 7*h**2 - 9*h - 8. Let n be c(-8). Suppose g = 2*j - 111, n*j + 68 = j - 3*g. Is j prime? True Suppose 4*v = v + 27. Let o(z) = z**2 - 12*z + 9. Let y be o(v). Let k = -8 - y. Is k composite? True Let s = -3 - 1. Suppose -13*h - 61 - 43 = 0. Is ((-121)/(-2))/(s/h) composite? True Let k(o) = -19*o - 12. Is k(-5) prime? True Let b be (-124)/(-20) - (-1)/(-5). Let n = 9 - b. Suppose 4*v = -12, v - 27 = -3*g - n*v. Is g a prime number? True Suppose 6 = -4*d + 18. Let i(z) = d*z**2 - 2*z**2 + z**2 + 7*z**2 - 1. Is i(-2) a prime number? False Let h be (-3)/(-2)*24/9. Suppose p = 3*l - l + 39, -h*l = 8. Is p prime? False Let p = 3 - 6. Let m(j) = -j**3 + 4*j**2 + 3*j. Let i(k) = -2*k**3 + 9*k**2 + 7*k + 1. Let r(o) = -4*i(o) + 9*m(o). Is r(p) prime? False Let m be (-2*1 - 0)*-1. Suppose m*c = -0 + 28. Is c a prime number? False Suppose 4*q - 277 = 567. Is q prime? True Suppose 5*o + 162 + 148 = -5*x, -4*o - 228 = -x. Let d = o - -425. Is d prime? True Let k = -71 + 123. Let p = -29 + k. Is p composite? False Is (-1444)/12*(1 - 4) a composite number? True Let y = -378 + 604. Suppose u = -u + y. Is u composite? False Let f(i) = 5*i + 1. Let d = -9 - -6. Let o = d - -7. Is f(o) composite? True Suppose 4*v = -4*j + 2008, -2*v + 5*j + 969 = -0*j. Is v a prime number? False Let q(o) = 174*o - 1. Is q(2) a prime number? True Let b = -2123 + 3538. Is b a composite number? True Is (2 - 1) + (-3 + 0 - -12943) a composite number? False Let h = 301 + 1492. Is h a composite number? True Let q be 6/27 + (-3722)/(-18). Let y = q + -122. Is y composite? True Suppose -6*h + 3*h - 2*r + 13 = 0, 3*h - r - 7 = 0. Suppose -2*s = -h*s + 39. Is s composite? True Let b = 416 + -77. Is b a composite number? True Let a(j) = -187*j - 1. Let n be a(-1). Let p = -104 + n. Is p a prime number? False Suppose 10*j - 5*j = 0. Let b = j - -7. Is b a prime number? True Let g be 73/2 + 1/(-2). Let x = -70 + g. Let f = x - -57. Is f composite? False Suppose r + 11 = 132. Is r composite? True Suppose 4*p = -5*o + 2499, 2*p + o - 1253 = 2*o. Let q = -435 + p. Is q a composite number? False Let l = -2 + 2. Let r(w) = -16*w - 5*w + l*w. Is r(-1) a prime number? False Suppose -2*s + 4*k = s - 9, -5*s = 2*k + 11. Is 3 - (s - 2 - 329) composite? True Suppose 3*p + c = p + 9, -5*c = p - 9. Is p/(-26)
{ "pile_set_name": "DM Mathematics" }
ommon factor of 12 and 3774156? 12 Calculate the highest common divisor of 408 and 1340. 4 What is the greatest common factor of 165 and 1900195? 55 Calculate the greatest common divisor of 118 and 666877. 59 What is the greatest common factor of 32 and 39784? 8 What is the highest common divisor of 2894 and 2157477? 1447 What is the highest common divisor of 86710 and 406? 58 What is the greatest common divisor of 16258 and 88? 22 What is the highest common divisor of 3893 and 146331? 229 What is the greatest common divisor of 3402 and 1596? 42 What is the highest common factor of 2232 and 147033? 279 Calculate the greatest common divisor of 3362 and 1968. 82 Calculate the highest common divisor of 39 and 1337999. 13 Calculate the greatest common factor of 410567 and 17. 17 What is the greatest common factor of 249297 and 276? 69 Calculate the greatest common divisor of 98 and 11186. 14 Calculate the highest common factor of 369 and 117. 9 What is the highest common divisor of 12168 and 21463? 169 Calculate the highest common factor of 501 and 21877. 167 Calculate the highest common divisor of 1055763 and 18. 9 Calculate the highest common divisor of 241 and 5808341. 241 What is the highest common factor of 9960 and 80? 40 Calculate the greatest common factor of 82198 and 146. 146 What is the greatest common divisor of 42217 and 16952? 163 Calculate the greatest common factor of 5 and 269455. 5 What is the greatest common factor of 1355201 and 463? 463 Calculate the highest common factor of 24465 and 18. 3 What is the greatest common divisor of 495755 and 10? 5 Calculate the greatest common divisor of 592 and 432. 16 Calculate the highest common factor of 5306 and 3262. 14 Calculate the highest common factor of 182 and 9438. 26 Calculate the greatest common divisor of 937880 and 60. 20 Calculate the highest common divisor of 4779 and 1053. 81 What is the greatest common factor of 106100 and 100? 100 Calculate the highest common factor of 14 and 3142. 2 What is the highest common factor of 2780 and 2300? 20 What is the highest common divisor of 2450 and 2790? 10 Calculate the highest common divisor of 1394 and 11398. 82 Calculate the highest common factor of 194 and 5540446. 194 Calculate the highest common factor of 10735 and 5795. 95 What is the highest common factor of 923 and 1651? 13 Calculate the highest common factor of 23936 and 1360. 272 What is the greatest common divisor of 38958 and 1032? 258 Calculate the greatest common divisor of 9 and 6170841. 9 What is the greatest common divisor of 81 and 126252? 27 What is the highest common divisor of 793 and 13624? 13 Calculate the highest common factor of 497 and 1120. 7 Calculate the greatest common factor of 12597 and 189696. 741 What is the highest common divisor of 76940 and 160? 20 Calculate the greatest common divisor of 78 and 37544. 26 What is the highest common divisor of 1708 and 7225694? 854 What is the greatest common factor of 16514 and 4646? 46 Calculate the highest common divisor of 23564 and 959. 137 Calculate the greatest common factor of 1290984 and 24. 24 What is the highest common divisor of 109344 and 402? 402 Calculate the greatest common divisor of 127260 and 770. 70 What is the greatest common factor of 2365 and 557667? 473 Calculate the highest common factor of 85530 and 57. 3 Calculate the greatest common factor of 51448 and 7552. 472 Calculate the highest common divisor of 20608 and 12096. 448 Calculate the greatest common factor of 655848 and 30. 6 Calculate the highest common divisor of 1392 and 14761. 29 Calculate the highest common factor of 330070 and 1170. 130 Calculate the highest common divisor of 2709 and 31003. 301 What is the greatest common divisor of 252 and 86532? 12 What is the highest common divisor of 38429 and 18983? 463 Calculate the greatest common divisor of 1680 and 1002890. 70 Calculate the greatest common factor of 5715 and 90. 45 What is the greatest common factor of 31275 and 3150? 225 What is the highest common divisor of 124843 and 131? 131 What is the greatest common factor of 224 and 42504? 56 Calculate the highest common divisor of 96 and 156168. 24 What is the highest common factor of 43081 and 3149? 67 Calculate the greatest common divisor of 286 and 3162302. 286 Calculate the highest common factor of 5628 and 25620. 84 What is the greatest common factor of 83508 and 12? 12 Calculate the greatest common divisor of 59618 and 338. 26 Calculate the greatest common factor of 12800 and 3000. 200 Calculate the greatest common divisor of 980 and 45. 5 Calculate the greatest common divisor of 216000 and 29376. 1728 What is the greatest common factor of 3549 and 2396758? 1183 Calculate the greatest common divisor of 14561 and 1. 1 Calculate the highest common factor of 40 and 157720. 40 What is the greatest common divisor of 4390 and 40? 10 Calculate the highest common divisor of 87 and 1632. 3 What is the greatest common divisor of 981 and 117? 9 Calculate the greatest common divisor of 1229677 and 62. 31 What is the highest common factor of 6975 and 6075? 225 What is the greatest common divisor of 1504 and 22513? 47 Calculate the greatest common factor of 4310 and 9051. 431 What is the highest common divisor of 964 and 664? 4 What is the greatest common factor of 33 and 853402? 11 What is the greatest common divisor of 6 and 55176? 6 Calculate the highest common factor of 30805 and 915. 305 Calculate the highest common divisor of 1894 and 1111778. 1894 What is the greatest common factor of 5558 and 266? 14 Calculate the greatest common factor of 36524 and 1472. 92 Calculate the greatest common factor of 972 and 374868. 324 Calculate the highest common factor of 7761822 and 12. 6 Calculate the highest common factor of 36715 and 35. 35 What is the highest common factor of 1663056 and 12? 12 What is the highest common factor of 60 and 7026? 6 Calculate the highest common factor of 117864 and 72. 72 Calculate the greatest common divisor of 278 and 196. 2 What is the greatest common divisor of 45410 and 190? 190 Calculate the highest common divisor of 16019 and 2407. 83 Calculate the greatest common factor of 35108 and 804. 268 What is the highest common factor of 3440 and 308095? 215 What is the highest common factor of 62694 and 258? 258 What is the greatest common divisor of 20763 and 135? 27 Calculate the greatest common divisor of 320 and 51008. 64 Calculate the greatest common divisor of 13 and 56641. 13 What is the highest common factor of 31213 and 1323? 49 What is the greatest common factor of 200 and 41325? 25 What is the greatest common factor of 71 and 1535801? 71 Calculate the highest common divisor of 1302 and 203546. 434 Calculate the highest common divisor of 336 and 2054094. 42 Calculate the greatest common divisor of 21 and 3800916. 21 Calculate the greatest common divisor of 5520 and 29040. 240 Calculate the greatest common factor of 36 and 302196. 12 Calculate the greatest common divisor of 7003 and 58557. 149 Calculate the highest common divisor of 23680 and 200. 40 Calculate the highest common factor of 123435 and 1872. 117 What is the highest common divisor of 944 and 3664? 16 What is the highest common factor of 10567 and 8? 1 What is the highest common factor of 143550 and 70290? 990 What is the highest common divisor of 9347 and 104? 13 What is the greatest common divisor of 90 and 965460? 30 What is the greatest common divisor of 202 and 1304819? 101 What is the greatest common factor of 51 and 131172? 51 What is the greatest common divisor of 419448 and 24? 24 Calculate the greatest common factor of 224 and 19208. 56 What is the greatest common factor of 80 and 8352? 16 What is the greatest common divisor of 78 and 547404? 78 Calculate the highest common divisor of 8608 and 272. 16 Calculate the highest common factor of 5688 and 801. 9 What is the greatest common factor of 240 and 171280? 80 Calculate the highest common factor of 78372 and 5292. 252 What is the highest common divisor of 1107 and 4920? 123 What is the greatest common factor of 4152489 and 1518? 759 Calculate the greatest common divisor of 16704 and 360. 72 What is the highest common factor of 63 and 713559? 21 Calculate the greatest common div
{ "pile_set_name": "DM Mathematics" }
. Find f such that d(f) = 0. -1, 15 Suppose 0 + 0*b - 1/5*b**5 - 2/5*b**4 - 1/5*b**3 + 0*b**2 = 0. Calculate b. -1, 0 Factor -1/2*v**3 - 3/2*v**2 - 3/2*v - 1/2. -(v + 1)**3/2 Let u(p) be the first derivative of 32*p + 18 - 7 + 24*p**2 + 4*p**4 + 8*p**3 - 3*p**4 + 0*p**3. Factor u(y). 4*(y + 2)**3 Suppose -3*w + 11*w = 16. Suppose -2*s - 3 = -w*u + 1, 2*s + 19 = 5*u. Let 3/5*j**s + 0*j + 0*j**2 + 0 + 3/5*j**5 + 6/5*j**4 = 0. What is j? -1, 0 Let f(h) be the first derivative of 12/5*h**5 - 10/3*h**6 - 4*h**2 + 7*h**4 + 0*h - 4*h**3 + 5. Determine k so that f(k) = 0. -1, -2/5, 0, 1 Let y(f) be the third derivative of -f**8/840 - 4*f**7/525 + f**6/60 + 6*f**5/25 + 3*f**4/5 - 378*f**2. Find t, given that y(t) = 0. -3, -2, 0, 3 Let b be ((-8)/30)/((-7)/(-5)) - (-84)/252. Factor b*y**2 + 2/7*y - 3/7. (y - 1)*(y + 3)/7 Factor 2/9*h**2 + 8/3*h + 22/9. 2*(h + 1)*(h + 11)/9 Suppose -k = -4*v + v + 11, -3*k = v + 13. Factor 8*t**4 + 1 + v*t**5 + 25*t**3 - 1 - 15*t**3 + 4*t**2. 2*t**2*(t + 1)**2*(t + 2) Let s(n) be the third derivative of -n**5/20 - 17*n**4/8 - 15*n**3 - 73*n**2. Let s(z) = 0. Calculate z. -15, -2 Let m be 7 + -5 + 1*3. Let z be (-2)/m - 27/(-5). Suppose -2*j - z + 3*j**2 - 3*j**3 + 2 + 4*j + j = 0. What is j? -1, 1 Let t(c) be the second derivative of c**7/105 + c**6/15 + 3*c**5/50 - c**4/6 - 4*c**3/15 - 36*c. Solve t(r) = 0 for r. -4, -1, 0, 1 Let b(x) be the second derivative of -x**5/5 - 5*x**4 - 48*x**3 - 224*x**2 + 186*x. Let b(i) = 0. What is i? -7, -4 Suppose 14 = u - 34*t + 37*t, t = 4. Let a(z) be the third derivative of 1/84*z**4 + 0*z**3 + 1/420*z**5 + 0*z + z**u + 0. Find n, given that a(n) = 0. -2, 0 Let t(j) = 8*j**4 - 3*j**3 + 28*j**2. Let o(x) = 9*x**4 - 2*x**3 + 29*x**2. Let g(u) = -7*o(u) + 8*t(u). Factor g(r). r**2*(r - 7)*(r - 3) Let k(l) be the first derivative of -l**4/18 - 104*l**3/27 + 53*l**2/9 - 571. Determine q so that k(q) = 0. -53, 0, 1 Let v = -62 + 48. Let p be 21/30 - (v/(-4))/7. Factor 1/5*o**2 + 0 + p*o. o*(o + 1)/5 Let s(l) be the second derivative of -l**7/294 + 2*l**6/105 - l**5/140 - l**4/6 + 10*l**3/21 - 4*l**2/7 - l - 2. Find k, given that s(k) = 0. -2, 1, 2 Suppose -3*z + 15 = 4*s - 7*s, -3*s = z - 5. Suppose 4*y**4 - 3*y**2 - y**4 + s*y**4 + 3*y - 3*y**3 = 0. Calculate y. -1, 0, 1 Suppose -4*m + 13 = -2*m - 3*v, 4 = 5*m + 2*v. Factor 3*p**2 + 13 - 14 - m*p**2. (p - 1)*(p + 1) Let k(t) be the second derivative of -5/3*t**3 - 7/24*t**4 - 1/60*t**5 - 25/12*t**2 + 17*t + 0. Factor k(z). -(z + 5)**2*(2*z + 1)/6 Let b(u) be the second derivative of -u**4/48 + u**3/6 - 3*u**2/8 - 8*u - 3. Solve b(s) = 0. 1, 3 Let p(v) = 26*v**2 - 400*v + 310. Let c(k) = -5*k**2 + 80*k - 63. Let q(b) = -16*c(b) - 3*p(b). Factor q(t). 2*(t - 39)*(t - 1) Let m(b) = 1 - 2*b + 3*b - 1. Let u be m(2). Solve 0 - 4/3*w**3 + 10/3*w**u - 10/3*w**4 + 4/3*w = 0. -1, -2/5, 0, 1 Let m be 63/12*3/(-18)*16. Let q(d) = -d**3 - 16*d**2 - 30*d - 24. Let r be q(m). Factor -8 - 1/2*i**2 - r*i. -(i + 4)**2/2 Suppose 2*i = -0*i + 6. Let n(q) = q**3 - q**2 - 3*q - 3. Let s be n(i). Suppose -6*t - s*t**2 + 0 + 3*t**2 + 0 - 3 = 0. Calculate t. -1 Let -8/5*x**2 - 1/5*x**4 - 4/5*x + 0 - x**3 = 0. Calculate x. -2, -1, 0 Let r(v) = -v**2 - 3*v + 9. Let j be r(-6). Let k be ((-8)/36 + (-2)/j)/(-2). Factor -10*w**4 - 50/9*w**5 - 16/3*w**3 + 0*w + k - 8/9*w**2. -2*w**2*(w + 1)*(5*w + 2)**2/9 Suppose 3*u - 62 = -2*a + 4*u, -4*a + 130 = u. Suppose -6*z + 4 = -a. Factor -27/2*y**2 - z + 18*y. -3*(3*y - 2)**2/2 Suppose 4*r + 2*q = -8, -121*q - 4 = 5*r - 120*q. Suppose 0 + r*d + 2/7*d**2 + 2/7*d**3 = 0. What is d? -1, 0 Let z(a) = 2*a + 28. Let o be z(-14). Suppose -12 = -3*d - 3. Factor o - 14/11*r**d - 10/11*r**2 + 4/11*r. -2*r*(r + 1)*(7*r - 2)/11 Let c be 6/21 + (-288)/(-21). Factor -8*i + c + 2*i**2 + 5 + 10 - 23. 2*(i - 3)*(i - 1) Let w(d) be the second derivative of 5*d**4/12 + 55*d**3/6 + 45*d**2 - 17*d. Solve w(x) = 0 for x. -9, -2 Let i(r) = -r**3 + 1. Let k(t) be the second derivative of 1/5*t**6 + 0 + 5*t + 4/3*t**3 - 4*t**2 - 1/3*t**4 - 1/10*t**5. Let g(p) = 6*i(p) + k(p). Factor g(y). 2*(y - 1)**2*(y + 1)*(3*y - 1) Let d(m) be the third derivative of -m**5/12 + 5*m**4/4 - 15*m**3/2 - 68*m**2. Suppose d(g) = 0. Calculate g. 3 Let d(y) = 3*y**2 + 6*y - 13. Let u be d(3). Factor u + 14*b - 14*b - 24*b + 4*b**2. 4*(b - 4)*(b - 2) Let r(w) = w**2 - 6*w + 1. Let n = 25 - 3. Let t be (-9 - -11) + (-1 - -3). Let h(u) = -5*u**2 + 31*u - 4. Let c(i) = n*r(i) + t*h(i). Solve c(g) = 0 for g. 1, 3 Let i = -27609/2 + 13817. Factor 5/2*z**3 + i*z**2 + 15*z + 0. 5*z*(z + 2)*(z + 3)/2 Let t(n) be the second derivative of -1/100*n**5 + 5/2*n**2 - 15*n - 3/20*n**4 + 0 - 1/2*n**3. Let t(c) = 0. What is c? -5, 1 Let j(o) be the third derivative of 1 + 1/12*o**4 - 2*o**2 + 5/18*o**3 + 0*o + 1/180*o**5. Factor j(f). (f + 1)*(f + 5)/3 Let s(n) be the first derivative of 2*n**3/27 - 14*n**2 + 250*n/9 - 163. Factor s(i). 2*(i - 125)*(i - 1)/9 Suppose -u - 222 = -7*u. Factor -u - c + 37 - c**3 + 0*c - 2*c**2. -c*(c + 1)**2 Let u(x) be the second derivative of -x**5/110 + 8*x**4/33 + 35*x**3/33 + 18*x**2/11 + 4*x - 48. Suppose u(o) = 0. What is o? -1, 18 Suppose 0 = -2*m + 5*i + 33, 2*m + 2*i = -1 - 1. Factor -7*g**3 + 10*g**m + 5*g**2 - 7*g**2 - g**3. 2*g**2*(g - 1)*(5*g + 1) Suppose -7*b = -2*b - 25. Let j(f) be the first derivative of -f**3 - b + 0 - 3 + 3*f**2. Factor j(o). -3*o*(o - 2) Suppose 3*q - 5*n - 64 = q, 0 = -2*q - 4*n + 64. Let j = -32 + q. Factor -3/2*t**4 - 3/2*t**3 + 0*t + j + 0*t**2. -3*t**3*(t + 1)/2 Factor 6/7 + 2/7*x**3 + 2/7*x**2 - 10/7*x. 2*(x - 1)**2*(x + 3)/7 Let d(y) be the second derivative of 4/3*y**3 - 1/30*y**6 + 31*y + 0 + 1/4*y**4 - 1/10*y**5 + 2*y**2. Factor d(o). -(o - 2)*(o + 1)**2*(o + 2) Suppose -4*t + 8 = -8. Let h(b) = b**2 + 3*b + 5. Let y be h(-2). Factor f**t - 7*f + f**2 + 2*f**y + 7*f. f**2*(f + 1)**2 Let p(d) = d**2 + d + 12. Let n be p(0). Suppose n = 4*z - 0*z. Factor 9*b**z - 5*b**2 + 3*b**2 + 0*b**5 - 4*b**2 - 3*b**5. -3*b**2*(b - 1)**2*(b + 2) Factor -3/4*p**2 + 0 + 3/4*p. -3*p*(p - 1)/4 Let f(b) be the third derivative of b**6/280 - 75*b**4/56 + 125*b**3/7 + 92*b**2 + b. What is h in f(h) = 0? -10, 5 Suppose 5*o + 0*i - 3*i = 8, 3*o + 2*i - 20 = 0. Suppose -5*v + 5*h - 8 = -18, o*h + 8 = 0. Factor -2/7*f**2 + v*f + 2/7*f**3 + 0. 2*f**2*(f - 1)/7 Suppose -82 = 192*c - 190*c. Let i = 44 + c. Factor 1/5*s**2 + 0*s + 0 + 1/5*s**i. s**2*(s + 1)/5 Let z(g) be the third derivative of g**5/30 - 13*g**4/12 - 14*g**3/3 + 415*g**2. What is n in z(n) = 0? -1, 14 Factor -2/3*q**3 + 0*q**2 + 0 + 0*q + 1/3*q**4 + 1/3*q**5. q**3*(q - 1)*(q + 2)/3 Let u(d) be the third derivative of d**6/24 + 3*d**5/2 + 45*d**4/2 + 180*d**3 + 8*d**2. Solve u(r) = 0. -6 Let m be -13 + 11 - 22/(-9) - 0. Let s(l) be the first derivative of -2/27*l**3 + 5 - 1/3*l**2 - m*l. Factor s(b). -2*(b + 1)*(b + 2)/9 Let m(z) = -1 - 99*z**2 + 99*z**2 + z**3 + 2 + z. Let k(s) = 120*s**3 + 45*s**2 + 6*s + 9. Let c(a) = -k(a) + 12*m(a). Suppose c(g) = 0. What is g? -1/3, 1/4 Let r(a) be the second derivative of a**4/6 - 53*a**3/3 - 54*a**2 - 56*a. Determine m so that r(m) = 0. -1, 54 Suppose -5*b = -2*u, 0 = -2*u - 0*u + 10. Suppose 5*l - 25 = 2*h, -5*l - 2*h + 2 + 3 = 0. Suppose 4*a**2 - a**b + a**2 - l*a**2 + 1 + 2*a = 0. What is a? -1 Let p be -9 + 10 + -3 + 7. Let z(u) be the first derivative of -5/4*u**4 - 7/5*u**5 + 3*u**3 - 2*u + 5/2*u**2 - p. What is t in z(t) = 0? -1, 2/7, 1 Let p be 0 + ((-4)/2)/(-1). Determine q so that -p*q**3 + 5*q**3 - 4*q**3 + q - 4*q + 4*q**2 = 0. 0, 1, 3 Suppose 3*n = 2*w - 6, 2*w - 2*n + 1 - 3 = 0. Let m(z) = -4*z + 8 - 2*z - 3 + z**2. Let h(u) = -3*u**2 + 17*u - 14. Let b(r) = w*h(r) - 8*m(r). Factor b(p). (p - 2)*(p - 1) Let g = 13224/7 - 1877. Let q = g + -11. Let -q*v**3 + 4/7*v**4 + 4/7*v**2 + 0 + 0*v = 0. Calculate v. 0, 1 Let x(y) be the first derivative of 1/24*y**5 - 1/72*y**4 + 0*y**3 + 0*y - 5/144*y**6 + 2 - 5/2*y**2. Let n(j) be the second derivative of x(j). Factor n(b). -b*(5*b - 2)*(5*b - 1)/6 Suppose 0 = -5*a + 20, -2*d + 33*a - 28*a - 12 = 0. Factor -4*h**2 - 2/9*h**d + 6 - 16/9*h**3 + 0*h. -2*(h - 1)*(h + 3)**3/9 Let m(r) be the third derivative of -r**8/840 - 2*r**7/175 - 13*r**6/300 - 2*r**5/25 - r**4/15 + 160*r*
{ "pile_set_name": "DM Mathematics" }
*k*k*k)/k*k*k**(-6)))/(k**(1/7)/k**(-1/10)*(((k**0*k)/k)/k)**(6/23)) assuming k is positive. k**(6469/1610) Simplify (((w*w*w**(1/4)/w*w)/w)**(-45)/(w**(-3/5)/w**6))/(w*(w*((w*w**(2/11))/w)/w)/w*w*w*w**2*(w/(w*w**2))/w**(-8)) assuming w is positive. w**(-13163/220) Simplify (o*o**(-2/7)/o)/(o*o/(o**(-5)*o)*o)*(o*o*o*o*o/o**(2/9)*o)**(-2/41) assuming o is positive. o**(-19547/2583) Simplify ((x/(x**0/x*x))**(-13/5)/(x**1)**(6/19))/(x**(2/27)*x*x**2)**27 assuming x is positive. x**(-8162/95) Simplify ((r**(-16/5)*r*r)**41*(r/(r*r**(-9/5)/r))/(r**3*r))**(-13) assuming r is positive. r**(3276/5) Simplify (z**40*z*z**(-15/4)*z*z**(-2/7)/z**(2/117))**(2/67) assuming z is positive. z**(124315/109746) Simplify (((s*s*s*s**2)/(s/(s/(s/s**5))))/(s**4*s**(-1)))/((((s*(s*s**(-3))/s)/s)/s)/(s**1*s)*s**(2/15)*s**(-4/3)/s*s) assuming s is positive. s**(66/5) Simplify c**(2/19)*c/(c/(c*c**(2/9)))*c*c**6*c*c/c**(-3)*(c/c**(5/3)*c*c*c*c**(-6/7))/(c*c/(c*c*c**(1/3)*c)*c)**(3/20) assuming c is positive. c**(355597/23940) Simplify ((s/((s/(s*s**(-1/6)))/s)*s)/(s**5*s)*s**(-3/2)/s**1)/(s**(6/7)/s*s*s*s/((s**(1/14)*s)/s))**8 assuming s is positive. s**(-587/21) Simplify ((b**(-1/2)*b**(-2/7))/(((b*b**(-1/3))/b)/b)**(-10/9))/((b**0/b)**(-3/2)*(b*b**(-1/11))/b*b*b**(1/7)*b) assuming b is positive. b**(-12098/2079) Simplify ((((u/(u/u**(-4)*u))/u)**(-41)/(u**12*u*u*u**(-13)))**(1/36))**(-1/4) assuming u is positive. u**(-245/144) Simplify ((d/(((d/((d**(-7)/d)/d))/d)/d*d))/d*d**(1/20))**27/(d**(-4/3)/d*d*d*d**(1/9)/d*(d**(2/7))**(-44)) assuming d is positive. d**(-287099/1260) Simplify (p**6/(p*p**6))/(p*p*p/(p/(p*p**(-3)/p*p)*p)*p*p**(2/11)*p)*((p*p**(-1/4)/p)/p)**34*p**(-2/3)*(p**(-1/4)/p)/p assuming p is positive. p**(-6283/132) Simplify (i**(-16)*i)/i**(9/2)*(i/(i/i**26)*i)/(i*i*i/i**(-32)) assuming i is positive. i**(-55/2) Simplify (n*n**2*n*(n*n/(n*n**1*n))/n)/(n*n**5/n*n**(-2/3)/n)*((n*n**(-2/7))/n)**(-4)/(n**1/n)**(-5/9) assuming n is positive. n**(-4/21) Simplify ((((z**(-3/7)/z)**(28/3))**(-3/11))**(-50))**(2/45) assuming z is positive. z**(-800/99) Simplify (((a/(a*a**(-8)*a))/(a**(-1/2)*a))/(a/(a*a/(a*a/(a**1/a))*a*a))**(-40))/((a**4/a**(1/4))/(a**(2/9)/a**(2/23))) assuming a is positive. a**(-30731/828) Simplify (p**(2/3)*p**(-6)/p)/((p**(-1)/p)/(p**(2/7)/p))*(p**(4/5)/(p**(-2/5)/p*p))**41 assuming p is positive. p**(4636/105) Simplify ((o**4)**(17/7)*o**(-1/3)/o**14)**(-2) assuming o is positive. o**(194/21) Simplify ((z/(z*z*z/(z/(z/(z*z*z**(-2)*z*z))*z*z*z)))**(-28)/(z**1)**(7/13))/((z*z**(-1)*z)/z*z**1/z*(z**(-1))**(5/12)) assuming z is positive. z**(-13123/156) Simplify (f*f**(2/11)*f*f*f*(f/f**1)/f)**(13/2)*(f**1/f)**(10/3)*(f**(-1/4))**42 assuming f is positive. f**(112/11) Simplify (c**2*c*c/((c**11/c)/c))**38/((c**2)**(-41/5)*(c*c**(-1)*c)**37) assuming c is positive. c**(-1053/5) Simplify (((o**(1/12)*o*o/o**9)/((o/(((o*o**(1/7)*o)/o)/o))/o*o/o**(-2/3)))**(-37))**(-1/8) assuming o is positive. o**(-26233/672) Simplify ((x*x**1*x)/x*x**(-3/11))**(-1)*x/(x*x**(-2/9))*x**(-6)*x**(-3)/(x**(2/7)*x*x) assuming x is positive. x**(-8864/693) Simplify (j**(3/4)*j*j**(-5/4))**(-3/8)/((j/j**8)/j*j**(-1/5)*(j*j**9)/(j**(-9)*j)) assuming j is positive. j**(-799/80) Simplify (((z**0)**(1/3)/(z/(z**(1/2)*z)*z*z/(z*z/z**(2/17)*z)))**(-9/8))**(-1/55) assuming z is positive. z**(423/14960) Simplify (s**(-2)*s)/(s**2*s)*(s**(-5)/s)/s*s**(-4)*(s**0*s)**0*s**(-3/2)*((s/(s/(s*s*s**(3/10)*s)))/s)/s assuming s is positive. s**(-76/5) Simplify ((((u*u**(4/5)*u)/u)/u)/u)**28/(u/(((u/u**19*u)/u)/u*u)*u**(-30/7)) assuming u is positive. u**(-711/35) Simplify ((k*k/((k/k**39)/k))/k*((k**(-6/19)/k)/k)/k*k)/(k**(-5/4))**24 assuming k is positive. k**(1286/19) Simplify ((o**(-13))**13*(o**(-22)*o)/o**(-20))**23 assuming o is positive. o**(-3910) Simplify (((o/o**(4/19))/o**3)/(o/o**(-1/18))**(3/7))**44 assuming o is positive. o**(-46750/399) Simplify (j/(j**4*j)*(j/(j/(j**(-6)/j)))/j)**1/(j**(-1)*j*j*j*j*j/(j*j**(-2/25))*j)**(-2/3) assuming j is positive. j**(-232/25) Simplify (((h*(h**(-9)/h*h)/h)/h)/((((h*h/h**(11/6)*h)/h*h)/h)/h)*((h*h**(14/11)*h)/h)**37)**(2/21) assuming h is positive. h**(4945/693) Simplify (x**(7/4)/x*x*x**9*x**(-4/9)/(x*x*x**(2/9)))/(x**(4/7)*x**(4/5))**(24/13) assuming x is positive. x**(30311/5460) Simplify (x/(x/x**(-2/3))*(x/x**(-2/3))/x)**(3/5)/((x**(-1))**(2/35))**(-26) assuming x is positive. x**(-52/35) Simplify ((j*((j*j**(-5/3))/j*j)/j)**46*(j*j*j*j*j/j**13*j*j)/(j/(j**(-1)*j)*j))**(2/9) assuming j is positive. j**(-232/27) Simplify ((u/u**(-1/4)*u)/(u/u**1*u))/(u**(-1/5)*u*u**(-2/15))*((u/((u/u**(-1))/u))**5)**(-16) assuming u is positive. u**(7/12) Simplify (l*l/(l/l**(1/7))*l*(l/(l*l*l**(-4/5)/l))/l*l)/((l/((l/(l*l**6/l*l*l)*l)/l))/(l/(l/(l**(4/5)*l))))*((l**(-1/2))**6)**(-3/7) assuming l is positive. l**(-69/35) Simplify (h/(h**8/h))/h*h*h*(h/(h*h/h**(-3)))/h*h*h**9/(h**(-1/3)/h)*((h/h**(-12))/(h*h**(-8)))**(1/11) assuming h is positive. h**(104/33) Simplify ((d**6*(d/(d/(d/(d/(d/(d/d**(-7)))*d)))*d)/d)/(d**(-1))**9)/(d**(2/19)/d*(d/(d*d**11))/d*d)**35 assuming d is positive. d**(8043/19) Simplify (((p*p*p/(p/(p*p**(4/5))))/p)/p**(-1/4)*p*p*p**(-2/23)*p*p/(p*p*p**(-6)*p*p))**21 assuming p is positive. p**(86583/460) Simplify ((b**(17/4)/(b**(1/35)/b))/(b**(-33)/(b/b**(13/3))))**13 assuming b is positive. b**(190489/420) Simplify ((s*s/(s**(-3)/s)*s)**(-9/13)/(((s*s**(-2))/s)/(s**(-17)/s)))**1 assuming s is positive. s**(-271/13) Simplify (h**(-2/15)/(h**(-2)*h)*((h**(-1/2)/h)/h)**(1/37))/((h*(h**3*h)/h*h)**(-2/31))**(-10) assuming h is positive. h**(-83503/34410) Simplify (g**(2/9)/(g**(8/7)/g)*(((g**(2/21)*g)/g)/g)**(-11))**(-5/7) assuming g is positive. g**(-3160/441) Simplify ((d*d**(-2)*d)**(-2/55)*(d*d/d**1)**(-32))/((d*d**7*d)/(d/(d*d**(1/6)*d)))**(12/5) assuming d is positive. d**(-282/5) Simplify l**5/l**(-10)*l*l**(12/17)/l*l*l**(-1/2)*l assuming l is positive. l**(585/34) Simplify (u*u**(-2/7)*u**(-2/17))**(2/37)*(((u/(u/u**1))/u)**(-30))**(-16) assuming u is positive. u**(142/4403) Simplify ((i/(i**(-7)*i))/(i/(i*i*i**(-1))))/(i**3/(i**(1/8)/i))*(i*i*i**(-6)*i*i**8)**(-28) assuming i is positive. i**(-1095/8) Simplify (n/(n*n**(-8))*n**(-1/3))/(n**(-1/5)*n**(2/5))*((n*(n*n/((n*n**(-1/8))/n)*n)/n)/n*n*n**(-1))/(n**(-2/17)/(n*n**(-2/7))) assuming n is positive. n**(148849/14280) Simplify ((u/(u/(u/(u/(u**13/u)))))/(u*u**(-1/5)))**(-35)*((u**(-2/5))**(-4/19))**(20/9) assuming u is positive. u**(-67000/171) Simplify (l*l**40)/(l/l**37)*(l/((l*l**(-1/68)*l)/l))**(32/7) assuming l is positive. l**(9171/119) Simplify (((a/((a**(-7)/a*a*a)/a))/a*a**(1/10))/(a**(-6))**37)**(-32) assuming a is positive. a**(-36656/5) Simplify ((m*m**8*m*m*m**(10/9))/(m/(((m*m/(m/(m**(-3/8)*m)))/m)/m)*m*m/((m**(1/9)*m*m)/m*m*m*m)*m))**(-1/48) assuming m is positive. m**(-853/3456) Simplify (((g/(g/g**0))/g)**(-15/4))**35*(g**4/(g*g**(-6)/g))**(-50) assuming g is positive. g**(-1475/4) Simplify (((g*g**(-2))/g)/(g*g**(-1/50)*g))/(g**(-3/25))**(-2/29) assuming g is positive. g**(-5783/1450) Simplify (y*y**(-5))/(y/(y**7/y))*y**(-6/5)/(y**(-7)/y)*((y**2)**(-29))**(-23/2) assuming y is positive. y**(3374/5) Simplify ((q*q**(-2/5))**(-17)*(q/(q/q**11*q))**34)**(2/3) assuming q is positive. q**(3298/15) Simplify (((l*l/(l/(l**(-2/3)/l)))**(5/12)*l**(3/5)/(l/l**3))**(-6/11))**2 assuming l is positive. l**(-38/15) Simplify ((v**1/v)/(v*v/(v*v**(-1/7)*v)*v)*v**(2/3)/v**2)/(((((v*v**0*v)/v)/v)/v)**(-14/5)*(v/v**(1/12))/v*v*v**0*v*v) assuming v is positive. v**(-1147/140) Simplify (b*b**(-6)*b**5*b*b**(-4)/b*b*b*(b*((b*(b**(-3/8)/b)/b)/b)/b*b)/b*b)/((b/b**(-1))**6*(b*b**0)**(-4/23)) assuming b is positive. b**(-2797/184) Simplify ((t/t**0)**23*(t**0)**7)/(t*t**0*((t/(t*t/(t**(-6)/t)))/t)/t*(t*(t*t**(-2/5))/t*t)**25) assuming t is positive. t**(-8) Simplify (y/(y*y/y**(-44))*y*(y/((y**(11/3)/y*y)/y))/y)/(y/y**(-1/10)*(y/(y*y/(y**(4/17)*y)*y)*y)/y) assuming y is positive. y**(-23971/510) Simplify ((l**(-14)/l*l)/(l*l*l*l**(-12))*(l/(l/(l/((l/l**(-11))/l)))*l)/l**(-15/2))**(1/11) assuming l is positive. l**(-13/22) Simplify ((x*x**8)/(x*x/x**(-6/5)*x))/((x**(-4)/x)/x**(-1/4))*(x**(8/3)/((x*(x*x/(x/((x/(x**(-2/65)*x))/x)*x*x*x*x))/x)/x))**(-44) assuming x is positiv
{ "pile_set_name": "DM Mathematics" }
5 PM and 9:20 PM? 265 How many minutes are there between 5:11 PM and 6:14 PM? 63 How many minutes are there between 12:29 PM and 1:05 PM? 36 How many minutes are there between 2:36 PM and 6:31 PM? 235 What is 67 minutes before 6:00 PM? 4:53 PM How many minutes are there between 4:45 AM and 5:20 AM? 35 How many minutes are there between 10:16 AM and 8:41 PM? 625 What is 634 minutes after 8:30 PM? 7:04 AM What is 300 minutes after 11:38 PM? 4:38 AM How many minutes are there between 2:02 PM and 8:41 PM? 399 What is 607 minutes after 7:07 PM? 5:14 AM What is 255 minutes before 4:06 AM? 11:51 PM How many minutes are there between 6:24 AM and 6:30 AM? 6 How many minutes are there between 1:17 PM and 9:05 PM? 468 What is 317 minutes after 5:57 PM? 11:14 PM How many minutes are there between 3:46 AM and 10:46 AM? 420 How many minutes are there between 2:59 PM and 1:43 AM? 644 What is 186 minutes after 2:30 AM? 5:36 AM How many minutes are there between 1:06 AM and 8:53 AM? 467 How many minutes are there between 7:05 PM and 8:46 PM? 101 What is 568 minutes before 8:19 PM? 10:51 AM How many minutes are there between 4:24 PM and 4:09 AM? 705 What is 207 minutes after 2:18 PM? 5:45 PM How many minutes are there between 9:54 PM and 12:02 AM? 128 What is 676 minutes after 12:17 PM? 11:33 PM What is 646 minutes after 5:43 PM? 4:29 AM How many minutes are there between 12:37 PM and 7:08 PM? 391 What is 184 minutes before 4:38 PM? 1:34 PM How many minutes are there between 10:44 PM and 5:09 AM? 385 How many minutes are there between 9:00 PM and 1:00 AM? 240 What is 313 minutes after 2:33 PM? 7:46 PM How many minutes are there between 6:38 AM and 1:37 PM? 419 How many minutes are there between 1:59 AM and 2:08 AM? 9 How many minutes are there between 10:58 PM and 2:29 AM? 211 How many minutes are there between 5:11 PM and 3:00 AM? 589 How many minutes are there between 6:48 AM and 7:51 AM? 63 What is 429 minutes after 8:29 PM? 3:38 AM How many minutes are there between 1:53 AM and 6:42 AM? 289 How many minutes are there between 8:28 AM and 6:46 PM? 618 How many minutes are there between 5:04 AM and 1:06 PM? 482 How many minutes are there between 2:20 PM and 8:02 PM? 342 How many minutes are there between 6:35 PM and 7:42 PM? 67 How many minutes are there between 12:03 AM and 2:43 AM? 160 How many minutes are there between 9:58 PM and 6:11 AM? 493 How many minutes are there between 5:05 AM and 6:08 AM? 63 How many minutes are there between 9:02 PM and 7:38 AM? 636 What is 328 minutes before 6:36 PM? 1:08 PM What is 432 minutes before 8:34 AM? 1:22 AM What is 535 minutes before 5:11 PM? 8:16 AM What is 374 minutes before 8:47 PM? 2:33 PM How many minutes are there between 6:07 PM and 6:17 PM? 10 How many minutes are there between 7:30 PM and 2:24 AM? 414 What is 402 minutes before 1:24 AM? 6:42 PM How many minutes are there between 4:25 PM and 2:03 AM? 578 How many minutes are there between 12:07 AM and 9:43 AM? 576 How many minutes are there between 2:26 AM and 9:11 AM? 405 How many minutes are there between 8:58 PM and 9:50 PM? 52 What is 429 minutes before 10:03 AM? 2:54 AM What is 264 minutes after 4:26 PM? 8:50 PM How many minutes are there between 4:04 AM and 1:10 PM? 546 How many minutes are there between 9:32 PM and 5:09 AM? 457 What is 470 minutes after 6:21 PM? 2:11 AM What is 697 minutes before 12:08 PM? 12:31 AM How many minutes are there between 3:52 AM and 11:26 AM? 454 How many minutes are there between 11:24 PM and 3:34 AM? 250 How many minutes are there between 6:16 AM and 1:12 PM? 416 What is 466 minutes after 4:28 PM? 12:14 AM How many minutes are there between 6:38 PM and 6:47 PM? 9 What is 14 minutes before 7:14 PM? 7:00 PM What is 543 minutes after 2:06 PM? 11:09 PM How many minutes are there between 7:51 PM and 1:32 AM? 341 How many minutes are there between 12:44 PM and 12:04 AM? 680 How many minutes are there between 10:46 PM and 1:33 AM? 167 How many minutes are there between 6:09 AM and 12:57 PM? 408 What is 558 minutes after 6:48 PM? 4:06 AM What is 664 minutes after 9:44 AM? 8:48 PM What is 158 minutes after 7:30 AM? 10:08 AM What is 52 minutes before 6:20 PM? 5:28 PM How many minutes are there between 6:18 AM and 6:08 PM? 710 What is 171 minutes before 11:33 AM? 8:42 AM What is 144 minutes after 5:03 AM? 7:27 AM What is 101 minutes before 6:21 PM? 4:40 PM How many minutes are there between 3:05 AM and 5:20 AM? 135 What is 675 minutes before 3:22 AM? 4:07 PM How many minutes are there between 5:58 PM and 5:29 AM? 691 How many minutes are there between 2:03 PM and 8:47 PM? 404 What is 410 minutes before 1:58 AM? 7:08 PM What is 700 minutes after 7:35 PM? 7:15 AM How many minutes are there between 11:21 AM and 7:22 PM? 481 How many minutes are there between 1:57 AM and 9:57 AM? 480 What is 249 minutes before 1:08 PM? 8:59 AM What is 91 minutes before 4:11 PM? 2:40 PM How many minutes are there between 8:02 AM and 5:51 PM? 589 What is 91 minutes after 4:13 PM? 5:44 PM What is 296 minutes before 9:37 AM? 4:41 AM How many minutes are there between 7:18 PM and 1:11 AM? 353 How many minutes are there between 3:12 AM and 4:34 AM? 82 What is 419 minutes after 9:14 AM? 4:13 PM How many minutes are there between 1:07 AM and 11:32 AM? 625 How many minutes are there between 12:38 AM and 2:48 AM? 130 What is 605 minutes after 5:40 AM? 3:45 PM How many minutes are there between 11:45 AM and 3:36 PM? 231 What is 568 minutes after 9:00 AM? 6:28 PM How many minutes are there between 4:04 PM and 2:24 AM? 620 How many minutes are there between 2:00 AM and 7:32 AM? 332 What is 185 minutes after 9:43 PM? 12:48 AM What is 504 minutes before 11:39 PM? 3:15 PM What is 126 minutes before 8:51 PM? 6:45 PM What is 560 minutes after 7:16 PM? 4:36 AM How many minutes are there between 9:09 PM and 8:21 AM? 672 What is 62 minutes after 1:15 PM? 2:17 PM How many minutes are there between 1:14 AM and 6:16 AM? 302 What is 552 minutes before 3:32 PM? 6:20 AM What is 309 minutes before 8:02 PM? 2:53 PM How many minutes are there between 10:52 PM and 5:33 AM? 401 What is 110 minutes before 8:52 PM? 7:02 PM How many minutes are there between 4:50 AM and 12:02 PM? 432 What is 507 minutes after 2:12 PM? 10:39 PM What is 185 minutes before 8:15 AM? 5:10 AM How many minutes are there between 11:36 PM and 3:40 AM? 244 What is 217 minutes before 3:04 AM? 11:27 PM What is 372 minutes after 11:54 AM? 6:06 PM What is 627 minutes after 9:33 AM? 8:00 PM How many minutes are there between 4:11 AM and 7:02 AM? 171 How many minutes are there between 7:14 PM and 1:26 AM? 372 How many minutes are there between 9:10 PM and 3:04 AM? 354 What is 386 minutes before 10:29 PM? 4:03 PM What is 588 minutes after 3:05 PM? 12:53 AM What is 672 minutes before 4:21 AM? 5:09 PM How many minutes are there between 6:27 PM and 11:36 PM? 309 What is 646 minutes before 8:21 AM? 9:35 PM How many minutes are there between 4:55 PM and 5:46 PM? 51 What is 689 minutes before 9:54 AM? 10:25 PM How many minutes are there between 3:07 PM and 12:14 AM? 547 What is 236 minutes after 4:56 PM? 8:52 PM How many minutes are there between 11:36 AM and 10:41 PM? 665 What is 101 minutes after 11:03 PM? 12:44 AM How many minutes are there between 3:25 PM and 9:24 PM? 359 How many minutes are there between 8:41 AM and 3:23 PM? 402 How many minutes are there between 3:56 PM and 11:20 PM? 444 What is 371 minutes before 3:05 PM? 8:54 AM How many minutes are there between 4:56 AM and 3:32 PM? 636 How many minutes are there between 9:12 AM and 1:22 PM? 250 How many minutes are there between 11:46 PM and 8:49 AM? 543 What is 52 minutes before 10:02 PM? 9:10 PM What is 631 minutes before 12:45 AM? 2:14 PM What is 719 minutes after 10:22 AM? 10:21 PM How many minutes are there between 8:36 PM and 1:51 AM? 315 How many minutes are there between 8:54 AM and 7:37 PM? 643 What is 662 minutes before 11:05 PM? 12:03 PM How many minutes are there between 1:01 AM and 11:56 AM? 655 What is 41 minutes before 4:53 PM? 4:12 PM What is 195 minutes before 10:04 AM? 6:49 AM What is 616 minutes after 4:17 PM? 2:33 AM How many minutes are there between 2:49 AM and 11:58 AM? 549 How many minutes are there between 6:52 AM and 10:09 AM? 197 How m
{ "pile_set_name": "DM Mathematics" }
prime number? False Is 35591 a prime number? True Is 1065629 a composite number? False Is 591263 composite? True Is 192697 composite? False Is 2559691 a composite number? False Is 2847661 a prime number? True Is 50191 composite? True Is 41533 prime? False Is 37717 a prime number? True Is 28961 a prime number? True Is 482945 a prime number? False Is 31 prime? True Is 4861 a composite number? False Is 250981 a prime number? False Is 1376147 a prime number? True Is 27658 a composite number? True Is 130171 composite? False Is 32093 prime? False Is 435562 prime? False Is 459061 composite? True Is 3109 prime? True Is 105841 composite? True Is 153817 composite? False Is 1663 a composite number? False Is 8059 composite? False Is 10781 a prime number? True Is 235 a prime number? False Is 1023191 prime? False Is 20101 composite? False Is 107069 a prime number? True Is 1161521 a prime number? True Is 281509 prime? True Is 518509 a prime number? True Is 53953 composite? True Is 34061 prime? True Is 44839 a prime number? True Is 32543 prime? False Is 4141 composite? True Is 66271 a prime number? True Is 45635 a prime number? False Is 9329 a prime number? False Is 18763 prime? False Is 30431 a composite number? False Is 15013 a composite number? False Is 453637 a composite number? False Is 8997 composite? True Is 211859 composite? False Is 2390797 a prime number? True Is 65789 a composite number? False Is 679 a composite number? True Is 532507 prime? False Is 19537 composite? True Is 647473 prime? False Is 245783 a prime number? True Is 399851 composite? False Is 7933 a prime number? True Is 217293 prime? False Is 219577 composite? False Is 26771 a prime number? False Is 7541 a composite number? False Is 22767 prime? False Is 29807 prime? False Is 103451 prime? True Is 292021 a composite number? False Is 21103 prime? False Is 12047 prime? False Is 17783 a composite number? False Is 4313 composite? True Is 23189 a prime number? True Is 37043 a prime number? False Is 1380637 a prime number? True Is 52147 prime? True Is 9673 composite? True Is 210127 composite? False Is 52361 a composite number? False Is 348239 composite? False Is 200287 composite? True Is 27791 prime? True Is 794191 prime? True Is 365051 prime? False Is 80537 a composite number? False Is 7493 prime? False Is 238279 a prime number? False Is 25667 composite? False Is 6805 prime? False Is 416089 prime? True Is 1204019 a prime number? True Is 272479 a composite number? True Is 631 a prime number? True Is 10517 a prime number? False Is 84707 a composite number? True Is 4481 a composite number? False Is 47087 prime? True Is 82261 prime? True Is 790645 a composite number? True Is 4467 prime? False Is 993 prime? False Is 77681 composite? False Is 14273 a prime number? False Is 25757 a prime number? False Is 122753 a prime number? True Is 29123 composite? False Is 23795 prime? False Is 333689 prime? False Is 85379 a prime number? False Is 15511 a composite number? False Is 150107 prime? True Is 7642 prime? False Is 886633 a prime number? False Is 841727 prime? True Is 239923 composite? True Is 13121 a composite number? False Is 328091 a composite number? True Is 166461 prime? False Is 303 a prime number? False Is 20201 prime? True Is 18383 prime? False Is 241847 a prime number? True Is 24239 composite? False Is 16811 prime? True Is 905659 a composite number? False Is 67999 a prime number? False Is 9358 prime? False Is 7262 a composite number? True Is 90821 a prime number? True Is 3551 composite? True Is 19661 prime? True Is 141529 a composite number? False Is 198113 a composite number? True Is 42323 prime? True Is 665947 a composite number? False Is 14809 a prime number? False Is 7607 a prime number? True Is 49318 a composite number? True Is 13991 a composite number? True Is 64033 prime? True Is 23234 composite? True Is 9014 prime? False Is 16111 a prime number? True Is 44519 a prime number? True Is 24241 a composite number? True Is 35857 a composite number? True Is 22805 composite? True Is 29789 prime? True Is 41453 a prime number? True Is 1320019 a composite number? False Is 265 composite? True Is 102743 composite? True Is 39817 a composite number? True Is 1153501 composite? True Is 3109 a composite number? False Is 15941 a prime number? False Is 476491 composite? True Is 80137 prime? False Is 77659 composite? False Is 70373 prime? True Is 12058 a composite number? True Is 24997 composite? True Is 900349 composite? False Is 4561 prime? True Is 1081 composite? True Is 40231 composite? False Is 28109 prime? True Is 7897 prime? False Is 636754 a prime number? False Is 55694 a prime number? False Is 60355 a prime number? False Is 333521 a prime number? False Is 221213 a prime number? False Is 64997 a prime number? True Is 1319 composite? False Is 175229 composite? False Is 270499 composite? True Is 36151 a prime number? True Is 214211 prime? True Is 19563 prime? False Is 2329 a composite number? True Is 1315385 a composite number? True Is 249877 composite? True Is 23093 prime? False Is 14767 composite? False Is 97593 prime? False Is 292835 a prime number? False Is 353 prime? True Is 37487 a prime number? False Is 203381 composite? False Is 9391 composite? False Is 441491 composite? True Is 762709 composite? True Is 14474 a composite number? True Is 1282313 prime? False Is 33563 a prime number? True Is 437057 composite? True Is 940349 composite? False Is 11278 a prime number? False Is 598963 prime? True Is 18431 a composite number? True Is 82235 prime? False Is 486146 prime? False Is 407182 composite? True Is 703622 composite? True Is 8623 a composite number? False Is 274631 composite? True Is 2921 composite? True Is 47963 a prime number? True Is 61955 composite? True Is 7817 composite? False Is 101819 prime? False Is 150359 a prime number? False Is 1437187 composite? False Is 20593 a composite number? False Is 1901 composite? False Is 5633 a composite number? True Is 18301 a composite number? False Is 3907 composite? False Is 12781 prime? True Is 31319 a prime number? True Is 8779 a prime number? True Is 493 prime? False Is 8857 composite? True Is 265607 a composite number? False Is 52277 prime? False Is 223283 a prime number? True Is 16039 composite? True Is 661699 a prime number? False Is 17011 composite? False Is 54029 composite? True Is 31469 composite? False Is 232549 a composite number? False Is 167639 a composite number? True Is 19571 prime? True Is 104866 a prime number? False Is 57121 prime? False Is 457057 composite? False Is 358163 a prime number? False Is 15727 a prime number? True Is 349555 a prime number? False Is 63947 prime? False Is 132497 prime? False Is 129494 a prime number? False Is 148357 a prime number? False Is 7063 composite? True Is 211 composite? False Is 40913 a composite number? True Is 298823 composite? True Is 925447 a composite number? False Is 214027 a composite number? True Is 67057 composite? False Is 62459 a composite number? False Is 1353831 composite? True Is 4728203 composite? False Is 16129 a composite number? True Is 10601 a prime number? True Is 63067 prime? True Is 44501 a prime number? True Is 96989 composite? False Is 273289 a prime number? True Is 16057 prime? True Is 9813 composite? True Is 8583 a composite number? True Is 157867 a composite number? False Is 109207 a composite number? True Is 136599 prime? False Is 11906 a prime number? False Is 90599 prime? True Is 6761 a prime number? True Is 4711 a prime number? False Is 272123 composite? True Is 504103 composite? False Is 1918643 composite? False Is 25331 a prime number? False Is 31271 composite? False Is 1626863 a prime number? False Is 188593 a composite number? True Is 3389 a prime number? True Is 36037 prime? True Is 415 a composite number? True Is 84367 a prime number? False Is 39781 prime? False Is 31307 a composite number? False Is 34421 a composite number? False Is 46803 a composite number? True Is 38543 composite? False Is 397 a composite number? False Is 1224507 a prime number? False Is 738901 a composite number? True Is 56621 composite? True Is 329051 a composite number? True Is 793 composite? True Is 78341 a prime number? True Is 1193702 a prime number? False Is 3943 composite? False Is
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 4675 and 649. 11 Calculate the greatest common factor of 19900 and 300. 100 What is the highest common divisor of 3367 and 6097? 91 What is the highest common factor of 26754 and 246? 6 What is the greatest common divisor of 116038 and 3562? 26 What is the highest common divisor of 527 and 10727? 17 What is the highest common divisor of 9328 and 616? 88 Calculate the highest common factor of 6974 and 484. 22 What is the greatest common factor of 223 and 256673? 223 Calculate the highest common divisor of 14513 and 92. 23 What is the highest common factor of 16281 and 8748? 243 Calculate the greatest common divisor of 24 and 471. 3 Calculate the highest common divisor of 9855 and 84105. 135 Calculate the greatest common factor of 76372 and 732. 244 Calculate the greatest common divisor of 52 and 11167. 13 Calculate the greatest common divisor of 204167 and 122. 61 Calculate the greatest common divisor of 112 and 20624. 16 What is the highest common factor of 271784 and 7051? 641 What is the greatest common factor of 637 and 30121? 91 Calculate the greatest common factor of 152 and 159220. 76 Calculate the greatest common factor of 75775 and 26075. 175 What is the greatest common divisor of 15965 and 155? 155 What is the greatest common factor of 298156 and 524? 524 What is the highest common factor of 381314 and 1? 1 What is the greatest common divisor of 610840 and 40? 40 Calculate the highest common divisor of 3384 and 531. 9 Calculate the highest common divisor of 25515 and 17115. 105 Calculate the highest common divisor of 66 and 253781. 11 Calculate the highest common divisor of 57618 and 970. 194 What is the greatest common divisor of 1900 and 69825? 475 Calculate the greatest common divisor of 37629 and 2664. 333 What is the greatest common divisor of 135 and 75303? 27 What is the greatest common factor of 490 and 517195? 245 Calculate the highest common divisor of 31 and 17701. 31 What is the greatest common factor of 145896 and 12? 12 Calculate the highest common divisor of 5751 and 57723. 213 Calculate the highest common divisor of 2196 and 2439. 9 What is the highest common factor of 1313 and 31? 1 What is the highest common factor of 70 and 63790? 10 What is the highest common divisor of 29 and 1081903? 29 What is the greatest common factor of 3510 and 1080? 270 Calculate the highest common factor of 6143940 and 58. 58 What is the greatest common factor of 113160 and 840? 120 Calculate the greatest common factor of 656 and 854768. 656 What is the highest common factor of 4409055 and 315? 315 Calculate the highest common factor of 29029 and 5159. 77 Calculate the highest common factor of 2873 and 208. 13 Calculate the greatest common divisor of 91575 and 25. 25 What is the greatest common divisor of 24875 and 375? 125 What is the highest common factor of 11183 and 53? 53 Calculate the greatest common factor of 9966 and 462. 66 Calculate the greatest common factor of 1056 and 28. 4 What is the greatest common divisor of 256 and 18008? 8 What is the highest common divisor of 155 and 127565? 155 Calculate the greatest common divisor of 30 and 2044410. 30 What is the highest common factor of 589775 and 5? 5 Calculate the greatest common divisor of 4 and 9416. 4 What is the greatest common factor of 431957 and 3748? 937 What is the highest common divisor of 18542 and 68326? 254 Calculate the greatest common factor of 7047 and 2436. 87 Calculate the greatest common factor of 762801 and 39. 39 What is the greatest common divisor of 46 and 132526? 46 Calculate the highest common divisor of 49302 and 891. 297 Calculate the greatest common divisor of 32115 and 120. 15 What is the highest common divisor of 1122 and 572968? 374 Calculate the greatest common divisor of 1139 and 349027. 17 What is the greatest common divisor of 84 and 30072? 84 What is the highest common divisor of 1075 and 14225? 25 What is the greatest common factor of 3216 and 552? 24 Calculate the highest common factor of 7866 and 3059. 437 Calculate the greatest common factor of 50 and 329325. 25 Calculate the greatest common divisor of 1372 and 86534. 98 What is the greatest common divisor of 82726 and 728? 14 What is the highest common divisor of 1240 and 930? 310 Calculate the highest common divisor of 924 and 95788. 308 What is the greatest common factor of 3310 and 160? 10 What is the highest common factor of 39270 and 25670? 170 Calculate the highest common factor of 392491 and 341. 341 Calculate the highest common factor of 470 and 15839. 47 Calculate the highest common factor of 2105 and 27. 1 What is the greatest common factor of 4437 and 58986? 261 Calculate the greatest common divisor of 160 and 36560. 80 Calculate the greatest common factor of 2889 and 13803. 321 Calculate the highest common divisor of 44700 and 700. 100 Calculate the highest common divisor of 31005 and 936. 117 Calculate the highest common factor of 42 and 11403. 21 Calculate the highest common divisor of 275 and 749595. 55 What is the highest common factor of 8 and 4483? 1 Calculate the greatest common divisor of 195 and 423020. 65 What is the greatest common divisor of 286 and 21086? 26 Calculate the highest common divisor of 2808 and 250224. 312 Calculate the greatest common divisor of 356524 and 7252. 196 Calculate the highest common factor of 58 and 10759. 29 Calculate the greatest common factor of 27495 and 19505. 235 Calculate the greatest common factor of 364446 and 1377. 459 Calculate the highest common factor of 20646 and 152706. 186 Calculate the greatest common divisor of 4930 and 170. 170 Calculate the greatest common divisor of 24375 and 45. 15 Calculate the highest common divisor of 3016 and 81780. 116 What is the highest common divisor of 486 and 644922? 486 What is the highest common divisor of 4092 and 396? 132 Calculate the highest common factor of 4386 and 19651. 43 What is the highest common divisor of 6880 and 181890? 430 Calculate the highest common factor of 166464 and 17. 17 Calculate the highest common divisor of 23622 and 7366. 254 Calculate the greatest common factor of 80 and 15230. 10 Calculate the highest common divisor of 60 and 664000. 20 What is the highest common divisor of 233 and 84346? 233 What is the highest common factor of 25550 and 2625? 175 Calculate the highest common factor of 116592 and 336. 336 Calculate the highest common factor of 45881 and 3311. 473 Calculate the highest common factor of 126 and 1814490. 18 What is the greatest common divisor of 1199286 and 14256? 1782 What is the highest common factor of 325797 and 262? 131 Calculate the highest common factor of 9250 and 69750. 250 What is the greatest common divisor of 110500 and 300? 100 Calculate the highest common divisor of 264 and 69256. 88 Calculate the greatest common factor of 14144 and 992. 32 What is the greatest common factor of 5083 and 2431? 221 What is the highest common factor of 15 and 676405? 5 Calculate the greatest common factor of 25296 and 186000. 1488 Calculate the highest common divisor of 195344 and 89252. 1684 What is the highest common factor of 30090569 and 131? 131 Calculate the greatest common factor of 55388 and 7808. 244 What is the highest common divisor of 52392 and 5784? 24 Calculate the highest common factor of 93 and 527. 31 What is the highest common factor of 70 and 12985? 35 What is the greatest common factor of 30660 and 57378? 438 Calculate the greatest common factor of 154112 and 387. 43 Calculate the greatest common factor of 733558 and 2114. 2114 What is the highest common factor of 485682 and 366? 366 Calculate the greatest common divisor of 2227808 and 88. 88 Calculate the highest common divisor of 35629 and 711. 79 What is the greatest common divisor of 10 and 10354? 2 What is the greatest common divisor of 4553 and 841? 29 Calculate the greatest common factor of 1007206 and 2911. 2911 What is the highest common divisor of 188046 and 558? 558 What is the highest common factor of 566485 and 178? 89 Calculate the greatest common divisor of 30 and 636285. 15 Calculate the highest common divisor of 3933 and 7659. 207 Calculate the greatest common divisor of 1591812 and 324. 324 Calculate the highest common divisor of 30
{ "pile_set_name": "DM Mathematics" }
48 PM? 9:21 AM How many minutes are there between 6:08 PM and 2:53 AM? 525 How many minutes are there between 3:08 AM and 5:40 AM? 152 How many minutes are there between 7:37 PM and 6:34 AM? 657 How many minutes are there between 11:18 PM and 8:13 AM? 535 What is 491 minutes before 4:48 AM? 8:37 PM What is 120 minutes after 8:41 AM? 10:41 AM How many minutes are there between 9:09 PM and 7:48 AM? 639 What is 305 minutes after 2:17 AM? 7:22 AM What is 353 minutes before 8:23 AM? 2:30 AM What is 165 minutes after 1:01 AM? 3:46 AM What is 63 minutes after 1:32 AM? 2:35 AM How many minutes are there between 9:42 AM and 10:17 AM? 35 What is 264 minutes before 4:15 AM? 11:51 PM How many minutes are there between 1:36 PM and 4:10 PM? 154 What is 612 minutes after 10:11 PM? 8:23 AM How many minutes are there between 9:54 AM and 7:38 PM? 584 How many minutes are there between 11:25 PM and 1:59 AM? 154 How many minutes are there between 8:37 AM and 4:50 PM? 493 What is 345 minutes after 10:15 AM? 4:00 PM What is 158 minutes after 9:13 PM? 11:51 PM How many minutes are there between 9:29 AM and 9:18 PM? 709 How many minutes are there between 12:14 AM and 1:21 AM? 67 How many minutes are there between 6:43 PM and 7:42 PM? 59 What is 670 minutes before 10:35 PM? 11:25 AM How many minutes are there between 3:31 PM and 2:26 AM? 655 How many minutes are there between 7:19 PM and 2:03 AM? 404 What is 204 minutes before 6:34 AM? 3:10 AM What is 581 minutes before 3:18 AM? 5:37 PM How many minutes are there between 10:31 PM and 8:49 AM? 618 How many minutes are there between 7:26 AM and 2:49 PM? 443 What is 266 minutes before 5:16 AM? 12:50 AM How many minutes are there between 11:47 PM and 7:52 AM? 485 What is 705 minutes before 11:10 PM? 11:25 AM How many minutes are there between 11:39 AM and 4:48 PM? 309 How many minutes are there between 2:54 AM and 11:34 AM? 520 How many minutes are there between 12:00 PM and 8:55 PM? 535 What is 525 minutes after 12:16 PM? 9:01 PM How many minutes are there between 7:05 AM and 1:17 PM? 372 How many minutes are there between 1:40 AM and 12:37 PM? 657 How many minutes are there between 2:51 AM and 11:12 AM? 501 How many minutes are there between 7:04 PM and 4:50 AM? 586 How many minutes are there between 4:26 AM and 5:48 AM? 82 How many minutes are there between 3:33 AM and 8:24 AM? 291 How many minutes are there between 12:07 AM and 12:18 AM? 11 How many minutes are there between 3:24 AM and 11:36 AM? 492 How many minutes are there between 11:15 PM and 10:15 AM? 660 How many minutes are there between 6:12 PM and 11:36 PM? 324 What is 92 minutes before 6:41 PM? 5:09 PM What is 547 minutes before 4:31 PM? 7:24 AM How many minutes are there between 7:55 AM and 4:40 PM? 525 What is 315 minutes after 11:33 AM? 4:48 PM How many minutes are there between 3:33 AM and 4:22 AM? 49 What is 244 minutes before 4:31 PM? 12:27 PM How many minutes are there between 6:34 PM and 5:08 AM? 634 How many minutes are there between 2:01 PM and 6:01 PM? 240 What is 596 minutes after 5:47 PM? 3:43 AM What is 236 minutes before 10:32 PM? 6:36 PM What is 682 minutes after 3:17 PM? 2:39 AM What is 432 minutes after 4:24 PM? 11:36 PM How many minutes are there between 2:45 AM and 11:08 AM? 503 What is 493 minutes after 2:24 AM? 10:37 AM How many minutes are there between 5:30 AM and 2:25 PM? 535 What is 292 minutes after 8:09 PM? 1:01 AM What is 60 minutes after 1:40 AM? 2:40 AM How many minutes are there between 5:11 AM and 11:52 AM? 401 How many minutes are there between 5:23 AM and 6:26 AM? 63 What is 525 minutes after 11:55 PM? 8:40 AM What is 557 minutes after 5:00 PM? 2:17 AM How many minutes are there between 5:01 PM and 11:41 PM? 400 What is 493 minutes before 1:54 AM? 5:41 PM What is 572 minutes before 5:22 PM? 7:50 AM What is 429 minutes after 2:22 PM? 9:31 PM What is 625 minutes after 2:50 PM? 1:15 AM How many minutes are there between 7:04 PM and 6:01 AM? 657 What is 420 minutes after 11:42 PM? 6:42 AM How many minutes are there between 8:32 PM and 7:34 AM? 662 What is 468 minutes after 7:46 AM? 3:34 PM What is 279 minutes after 5:42 AM? 10:21 AM How many minutes are there between 4:04 PM and 10:29 PM? 385 How many minutes are there between 9:20 AM and 11:21 AM? 121 How many minutes are there between 5:15 PM and 12:54 AM? 459 What is 386 minutes after 6:56 PM? 1:22 AM How many minutes are there between 10:08 AM and 2:21 PM? 253 What is 237 minutes after 11:11 PM? 3:08 AM What is 586 minutes after 12:24 PM? 10:10 PM What is 328 minutes before 9:06 AM? 3:38 AM How many minutes are there between 7:37 PM and 12:14 AM? 277 What is 605 minutes before 8:23 AM? 10:18 PM What is 420 minutes after 7:50 AM? 2:50 PM What is 693 minutes before 1:11 AM? 1:38 PM What is 641 minutes after 5:34 PM? 4:15 AM What is 90 minutes before 3:33 AM? 2:03 AM How many minutes are there between 1:04 AM and 5:38 AM? 274 What is 9 minutes before 12:02 PM? 11:53 AM How many minutes are there between 4:44 PM and 7:31 PM? 167 How many minutes are there between 4:37 PM and 3:54 AM? 677 What is 429 minutes after 2:47 AM? 9:56 AM How many minutes are there between 7:10 PM and 12:03 AM? 293 What is 526 minutes before 12:21 AM? 3:35 PM What is 141 minutes after 8:34 AM? 10:55 AM What is 416 minutes before 7:10 PM? 12:14 PM How many minutes are there between 10:40 PM and 10:12 AM? 692 How many minutes are there between 7:54 PM and 9:54 PM? 120 How many minutes are there between 12:53 PM and 2:15 PM? 82 How many minutes are there between 9:44 AM and 6:29 PM? 525 What is 693 minutes after 3:17 AM? 2:50 PM How many minutes are there between 11:12 AM and 12:56 PM? 104 What is 90 minutes before 7:06 AM? 5:36 AM What is 141 minutes before 9:56 AM? 7:35 AM How many minutes are there between 1:46 PM and 4:38 PM? 172 How many minutes are there between 12:17 AM and 2:20 AM? 123 What is 186 minutes before 5:27 PM? 2:21 PM What is 11 minutes after 11:13 PM? 11:24 PM What is 665 minutes before 2:22 PM? 3:17 AM How many minutes are there between 8:06 AM and 10:46 AM? 160 What is 337 minutes before 3:23 PM? 9:46 AM What is 570 minutes after 8:12 PM? 5:42 AM How many minutes are there between 4:25 AM and 7:47 AM? 202 What is 315 minutes before 3:19 AM? 10:04 PM What is 165 minutes after 4:04 PM? 6:49 PM What is 676 minutes before 6:48 PM? 7:32 AM How many minutes are there between 6:50 AM and 7:09 AM? 19 What is 697 minutes before 6:51 PM? 7:14 AM What is 634 minutes before 7:17 AM? 8:43 PM How many minutes are there between 8:55 AM and 8:35 PM? 700 What is 6 minutes before 11:32 AM? 11:26 AM What is 310 minutes before 9:34 PM? 4:24 PM How many minutes are there between 8:27 AM and 1:31 PM? 304 What is 305 minutes before 4:44 PM? 11:39 AM How many minutes are there between 4:45 PM and 9:40 PM? 295 What is 137 minutes after 11:06 PM? 1:23 AM How many minutes are there between 1:19 AM and 4:06 AM? 167 What is 204 minutes before 1:56 PM? 10:32 AM How many minutes are there between 8:48 PM and 3:16 AM? 388 How many minutes are there between 6:34 PM and 8:24 PM? 110 What is 40 minutes after 1:23 AM? 2:03 AM How many minutes are there between 8:43 PM and 4:51 AM? 488 What is 657 minutes before 8:26 PM? 9:29 AM How many minutes are there between 5:34 PM and 2:08 AM? 514 How many minutes are there between 9:00 PM and 9:48 PM? 48 What is 428 minutes before 3:36 AM? 8:28 PM What is 547 minutes after 4:40 AM? 1:47 PM What is 646 minutes before 8:46 AM? 10:00 PM What is 90 minutes before 11:49 PM? 10:19 PM How many minutes are there between 7:44 AM and 5:56 PM? 612 What is 404 minutes before 2:56 PM? 8:12 AM What is 160 minutes before 12:57 PM? 10:17 AM What is 67 minutes before 10:37 AM? 9:30 AM What is 715 minutes before 1:14 AM? 1:19 PM How many minutes are there between 4:42 AM and 8:11 AM? 209 How many minutes are there between 11:57 AM and 4:52 PM? 295 How many minutes are there between 9:24 PM and 6:43 AM? 559 How many minutes are there between 8:53 PM and 8:30 AM? 697 How many minutes are there between 8:55 AM and 7:41 PM? 646 What is 485 minutes after 5:51 PM? 1:56 AM How many minutes are there between 9:55 PM and 11:02 PM? 67 How many minutes are there between 4:45 AM and 2:05 PM? 560 What is
{ "pile_set_name": "DM Mathematics" }
89 What is 273974 (base 13) in base 3? 1210022010212 What is -2238 (base 16) in base 10? -8760 Convert 1342120 (base 5) to base 8. 66211 Convert 304bea (base 16) to base 12. 1087836 What is -675698 (base 10) in base 4? -2210331302 What is 923454 (base 12) in base 11? 1322105 Convert 10223231121 (base 4) to base 12. 4b2509 Convert -110000010111111100001 (base 2) to base 15. -2149eb What is -3b603 (base 16) in base 12? -b88ab What is -10011010002 (base 3) in base 4? -33021200 18b5417 (base 12) to base 2 10011111000111100010011 1939b0 (base 12) to base 2 1101011111011010100 -59406 (base 11) to base 16 -14eaa Convert -77c9 (base 16) to base 15. -9145 What is -271322 (base 9) in base 3? -22101100202 -6e8e5 (base 15) to base 3 -122221020122 What is -842448 (base 9) in base 13? -146a41 What is -102871 (base 11) in base 4? -220032113 What is -2120211112 (base 3) in base 14? -147a5 Convert 2120110011 (base 4) to base 3. 1011200210120 -14351155 (base 6) to base 8 -1712017 What is -138c6ac (base 15) in base 6? -1222314430 What is -30cc47 (base 14) in base 10? -1648815 -4140496 (base 10) to base 5 -2024443441 What is 1aa445 (base 13) in base 9? 1245217 2041241 (base 5) to base 4 20102122 Convert 1100000000100111001 (base 2) to base 15. 7b904 Convert 11105401 (base 6) to base 13. b999b Convert -10486452 (base 10) to base 14. -156d844 -11432053 (base 6) to base 14 -95d29 What is 4231624 (base 7) in base 15? a1acd What is 1c8c3 (base 15) in base 11? 63a54 What is 331764 (base 8) in base 16? 1b3f4 11121002202 (base 3) to base 11 61a76 2402035 (base 7) to base 13 a8040 1010101100101001000 (base 2) to base 9 583754 -11001101000000011 (base 2) to base 5 -11324323 What is 1001868 (base 15) in base 5? 10404132043 Convert 750454 (base 8) to base 10. 250156 What is -1313123212 (base 4) in base 6? -14252434 Convert 3a0ecb (base 16) to base 2. 1110100000111011001011 What is b2218 (base 13) in base 2? 1001101110111001100 Convert 3468148 (base 10) to base 13. 945778 -1011110111111100111 (base 2) to base 10 -389095 What is 424503 (base 6) in base 3? 1202122210 What is 2246047 (base 9) in base 5? 302233031 326135 (base 7) to base 6 1121312 6719c0 (base 13) to base 11 1410959 What is -9a29 (base 13) in base 2? -101001111111010 What is 48330 (base 9) in base 11? 22336 What is 76dd6a (base 16) in base 12? 273808a What is 1002300322 (base 4) in base 16? 42c3a Convert 5326337 (base 8) to base 10. 1420511 -a92a8 (base 14) to base 8 -1437464 Convert -2135154 (base 7) to base 10. -261111 Convert -66799 (base 12) to base 7. -1104144 What is 603a5 (base 13) in base 7? 1314324 What is 940532 (base 12) in base 5? 1043320230 120042243 (base 6) to base 8 10441123 Convert 9ed5c (base 16) to base 4. 2132311130 96251 (base 11) to base 9 233104 What is -44313224 (base 5) in base 9? -646645 23182808 (base 9) to base 10 11273912 What is 4a19a6 (base 14) in base 15? 35295a What is -8cfe6 (base 16) in base 7? -4623463 Convert -640140 (base 8) to base 4. -310001200 Convert 106099 (base 10) to base 15. 21684 2446989 (base 11) to base 2 10000001110110101010110 113022001 (base 4) to base 7 543346 What is -23021342 (base 5) in base 16? -31f35 Convert 100011202112 (base 3) to base 14. 49b73 211130202220 (base 4) to base 9 20421304 Convert 69d1 (base 15) to base 5. 1204341 Convert -16656b0 (base 13) to base 14. -d65ad5 -10336528 (base 10) to base 11 -591aa94 2950854 (base 10) to base 16 2d06c6 What is -1150065 (base 7) in base 4? -203301030 -1330233131 (base 4) to base 15 -a15cb Convert -3441132004 (base 5) to base 7. -122630033 -10210202112 (base 3) to base 9 -123675 What is -1647562 (base 8) in base 6? -14134002 What is -32032010 (base 5) in base 3? -111121021212 What is 13612054 (base 8) in base 15? 40e2a6 What is 2547473 (base 10) in base 6? 130333505 What is -91d957 (base 14) in base 11? -28587a5 What is 13451317 (base 8) in base 12? 1024a3b -41549 (base 10) to base 9 -62885 252123 (base 8) to base 15 1ac33 Convert -338807 (base 11) to base 13. -15b275 What is -833ec (base 16) in base 5? -114200310 Convert -3257b (base 12) to base 10. -66479 Convert -1343212141 (base 5) to base 10. -3491546 Convert 135723b (base 12) to base 5. 1441123331 What is d8584 (base 14) in base 7? 4304124 Convert -63666 (base 12) to base 13. -47559 What is 511738 (base 9) in base 5? 34200022 What is 1691418 (base 11) in base 4? 22331002232 Convert 21324040 (base 6) to base 10. 633336 22112120210212 (base 3) to base 8 21240367 What is 1011100011101111111 (base 2) in base 6? 12041251 111111101011010110010 (base 2) to base 14 3c45b4 What is -246163 (base 10) in base 3? -110111200011 Convert 1101110111000101101001 (base 2) to base 16. 377169 Convert 32855606 (base 9) to base 2. 111100101110111111100011 What is 2321022032 (base 4) in base 14? 15a566 -387ac (base 14) to base 5 -13414344 What is 75ad (base 14) in base 6? 234101 Convert 11010110011100 (base 2) to base 11. a347 What is 2565437 (base 9) in base 16? 156298 What is -36c086 (base 15) in base 2? -1010000000010000100101 Convert -158630 (base 11) to base 13. -87a82 -111000101111101100 (base 2) to base 11 -149699 15880 (base 15) to base 4 100330230 -1625304 (base 8) to base 5 -110012300 424231 (base 6) to base 9 52471 -11111100101100011001 (base 2) to base 3 -1221120210120 What is 351580 (base 13) in base 9? 2330141 Convert -185b72 (base 13) to base 6. -21044354 Convert -15217d (base 14) to base 5. -142020244 Convert -11011110001110100101 (base 2) to base 11. -571976 What is -5854386 (base 10) in base 15? -7a9976 -73ac (base 13) to base 4 -3322130 What is 310020310 (base 4) in base 2? 110100001000110100 1225105 (base 10) to base 9 2266467 -12001202021012 (base 3) to base 15 -3827e2 Convert -755a7 (base 11) to base 15. -22844 What is 86217 (base 15) in base 11? 270940 1433875 (base 13) to base 8 30337107 Convert -130110232230 (base 4) to base 6. -423050420 What is -20777 (base 10) in base 9? -31445 What is -342643 (base 7) in base 16? -ee6c What is -456552 (base 7) in base 2? -10011111010100101 Convert -33041044 (base 5) to base 11. -184330 What is -10002121120010 (base 3) in base 13? -458130 29a5551 (base 12) to base 10 8428237 22121412 (base 5) to base 11 121373 Convert -101110110101010010000 (base 2) to base 8. -5665220 Convert -374520 (base 8) to base 11. -89210 Convert -50512450 (base 6) to base 8. -5375316 67914 (base 12) to base 10 137824 Convert 10100011000000100010001 (base 2) to base 8. 24300421 What is -2212200011 (base 3) in base 2? -1101110100101111 Convert 82a715 (base 14) to base 4. 100310032333 Convert 440600 (base 7) to base 11. 52a45 -71332 (base 9) to base 8 -133520 What is -10203032210 (base 4) in base 3? -2020121022022 5a7984 (base 16) to base 8 26474604 -b89a (base 16) to base 3 -2101211022 What is -18b16 (base 15) in base 8? -234371 -1110401120 (base 5) to base 3 -11120200112222 What is -1575274 (base 9) in base 13? -248c41 What is -234510 (base 7) in base 11? -29983 a530 (base 11) to base 7 55444 10622144 (base 7) to base 8 3430242 Convert -11123410002 (base 5) to base 7. -206523526 Convert -251152512 (base 6) to base 9. -10056358 Convert -1002202122 (base 3) to base 9. -32678 What is -12014542 (base 6) in base 12? -161452 What is 3311132321 (base 4) in base 16? f57b9 What is -22171572 (base 8) in base 6? -250245522 Convert -11111101100111001000 (base 2) to base 14. -1d07d6 What is -9b9b (base 15) in base 7? -165125 Convert 1c714d (base 16) to base 12. 75a865 Convert -43630 (base 8) to base 16. -4798 Convert -101001110110110001001000 (base 2) to base 12. -3811808 -36a6b (base 13) to base 6 -2053540 -9c78a (base 13) to base 6 -10034034 Convert -2640644 (base 7) to base 13. -c169a 30012320002 (base 4) to base 14 5c8946 What is -24a76 (base 13) in base 2? -10000100001110001 Convert 101303310 (base 4) to base 15. 16933 21780673 (base 9) to base 4 220103002302 -69057 (base 13) to base 14 -4d97d Convert -596587 (base 13) to base 14. -3d5552 Convert -17791 (base 14) to base 3. -10000002202 What is -41d6e (base 16) in base 14? -703ca What is 26037 (base 13) in base 9? 116446 773437 (base 8) to base 5 31303441 -25acf4 (base 16) to base 7 -26662365 100012012022002 (base 3) to base 9 10165262 Convert 222304524 (base 6) to base 14. 7711d2 -4370341 (base 8
{ "pile_set_name": "DM Mathematics" }
osite? False Suppose -3 = 3*u + 3. Let w = u + 17. Is w a composite number? True Let g(c) = 8*c + 1. Let b be g(-5). Let x = 244 + b. Let w = 362 - x. Is w composite? False Let g(u) = u**2 - 5*u + 3. Let s be g(-5). Let b = -32 + s. Suppose 5*m = 4*m + b. Is m composite? True Let g(t) = -11*t**2 + 2. Let m be g(-3). Let c = m + 144. Is c composite? False Let a = 1 - -2. Suppose 52 = 7*j - a*j. Is j prime? True Is (1 - 0/1) + 10*136 a prime number? True Let d be (-1836)/(-8) + (-1)/2. Suppose 9 + 6 = 5*h. Suppose -w + 2*w = 5*o + 69, -h*w = -4*o - d. Is w prime? True Let i(p) be the first derivative of 2*p**3/3 - 5*p**2/2 - 2*p + 1. Let b = 30 - 26. Is i(b) composite? True Suppose -3*i - b - 77 = -17, -3*i - 72 = -3*b. Is (-720)/i + (-4)/14 a composite number? True Suppose 2*s + 0*s - 838 = 0. Is s a prime number? True Is 14553/44 - (-1)/4 a composite number? False Suppose 4*s = -2*v + 56, -2*s + 35 = -4*v - 13. Suppose -6*m + 2*m - s = 0. Is (166/m)/((-2)/4) a composite number? False Suppose -2 - 1 = -t. Let x(l) = -3*l - t*l**2 + 5*l + 84*l**3 + l**2 - 1. Is x(1) prime? True Let n = -72 - -175. Is n prime? True Let x = 77 - 3077. Is 1/(-2) - x/16 composite? True Let r(b) = -2*b**2 - b + 10. Let z be r(-4). Is (-4)/z - 4437/(-81) a prime number? False Let m(t) = -22*t + 9. Suppose 2*q = -6, 0 = 4*g - 5*g - 5*q - 22. Is m(g) a prime number? True Suppose -4*r + 2*r + 502 = 0. Is r a prime number? True Is (130/40)/(3/708) a composite number? True Suppose 4*b = -12, s - 3*b - 34 - 242 = 0. Is s a composite number? True Let q = 89 - 34. Let k = q - -76. Is k a prime number? True Let c(y) = 2*y - 2. Let b be c(2). Suppose -3*a = j - 9, 3*a = b*a + 2*j + 3. Is (-2 + a)/(-1) - -15 a prime number? False Suppose -4*z - 56 = -8*z. Suppose 0 = 4*d - 7*d - 3, -3*m = 2*d - 55. Suppose -m - z = -3*v. Is v a composite number? False Let u(h) = 3*h**3 - h**2 + 5*h - 9. Is u(4) a composite number? True Suppose p - 189 = 3*w + w, 2*w + 81 = 5*p. Suppose -1 = -3*g - 4. Let v = g - w. Is v a composite number? False Suppose -10 = -5*q - 0*q. Suppose q = -l + 4. Suppose 2*y = l*m - 152, -383 = -5*m + 2*y - 0*y. Is m a prime number? False Let s(b) = -b**2 + 4. Let w be s(0). Suppose -26 = -5*n + w*n. Suppose 5*t = -11 + 1, t = -4*k + n. Is k prime? True Let k(s) = -s + 12. Let h be k(9). Let j be (0 + 2/(-3))*h. Is (j - -1)*1 - -40 a composite number? True Let z be -12 + -1 + 1 + 2. Let a(o) = -o**3 - 11*o**2 - 9*o + 13. Let r be a(z). Is 219 + -1 - 1*r prime? False Suppose p + 4 = -2*p - c, 2*p - 5*c = 20. Suppose p*y + y = 427. Is y a composite number? True Let b(m) = 10*m - 3. Let l be b(2). Let y(x) = 11*x + 26. Let w(t) = -4*t - 9. Let j(g) = l*w(g) + 6*y(g). Is j(-8) a composite number? False Suppose 6*h = 2*h. Suppose -2*v + h*v = -50. Is v prime? False Suppose 6*b - 3*b = 5*t - 189, -4*t = 3*b - 162. Suppose w = -0*z + z - 10, -2*z = 8. Let k = t + w. Is k a prime number? False Let n be 2/(-5) + (-12)/20. Let x = n - -2. Is 74*1*x/2 prime? True Let d(s) = -3*s**2 + s + 1. Let w(c) = -c**2 - c. Let h(m) = -d(m) + 4*w(m). Let x be h(-5). Let i(k) = -5*k**3 + k**2 + k + 1. Is i(x) prime? False Let r(l) = 4*l + 20. Let v be r(-6). Let o(g) = 5 - 7*g + 0 - 2. Is o(v) composite? False Let c = -13 + 24. Let k = c + -5. Suppose -5*z + 133 = 2*p, z - 162 = -3*p + k*z. Is p a prime number? True Suppose -6 = 3*w, -2*c + 4*c - 208 = w. Is c a prime number? True Let u be 159 + (1 - (0 - -1)). Let f be (-2)/(-4)*(-7 + 11). Suppose u = f*r + r. Is r a prime number? True Is 3/21 + (-54)/(-14) prime? False Suppose -b = 2*m - 7 - 0, -2*m - 5*b = -11. Suppose -m*f = -8*f - 1030. Let a = -79 - f. Is a a composite number? False Let q(v) = 2*v**2 + 5*v + 1. Is q(-8) a composite number? False Suppose 5*b + 0*b - 265 = 0. Is b prime? True Suppose -330 = -v + 314. Suppose 4*s - v = -0*s. Is s composite? True Let k be 4/(-6)*27/(-2). Suppose -k*u + 212 = -7*u. Is u composite? True Is ((-382)/6)/(3/(-9)) a composite number? False Let a(l) = 22*l - 35. Is a(21) a prime number? False Let j(g) = g**2 + g + 1. Let l(u) = -6*u**2 + 5*u + 3. Let i(c) = 4*j(c) - l(c). Suppose -5*z = -9*z + 16. Is i(z) prime? True Suppose 0 = 3*l - 4*g - 5579, 2*l - 5871 = 3*g - 2152. Is l a prime number? True Suppose 0 = 3*m - 333 + 789. Let l = -75 - m. Is l a composite number? True Suppose 0*n + 2*n = 12. Suppose n*g - 4*g - 52 = 0. Is g a composite number? True Is -194*(-2 + (-12)/8) a composite number? True Let l = -26 - -73. Let w = -22 + l. Is w a prime number? False Suppose 3*l - 4*j = 131, -2*l - 5 = -4*j - 87. Suppose 2*o + 4*a - 11 = 17, 3*a = -5*o + l. Let q(y) = y**2 - 6*y - 3. Is q(o) a composite number? False Is (4694/8 - 0) + (-12)/(-48) composite? False Suppose 2*p - 24441 = -5*f, 2*p = -f - 0*p + 4885. Is f composite? False Suppose -7*o - 68 = -537. Is o a composite number? False Let w(c) be the first derivative of c**3/3 + c**2/2 + 6*c + 1. Let k be (3/(-6))/((-2)/(-20)). Is w(k) a composite number? True Let s = -14 + 6. Let l = s + 11. Suppose 4*u - 75 - 142 = -l*j, 3*u - 164 = -j. Is u prime? False Let d(u) = -4*u**2 + 2*u - 13. Let t(o) = 5*o**2 - o + 13. Let s(a) = 4*d(a) + 3*t(a). Let j be s(9). Let h = 0 - j. Is h a composite number? True Suppose 8 = 4*g - 0*f - 3*f, -4*f - 13 = -3*g. Let o be (2 + -2 + 2)*g. Is ((-52)/(-16))/(o/(-8)) prime? True Let d(w) = -w + 2. Let h be d(2). Let s be 6*((-5 - h) + 1). Let u = s - -75. Is u a prime number? False Let d(o) = 57*o**2 - 2*o - 1. Let c be d(-2). Let j = c - 142. Is j composite? False Let y(n) = n**2 - 6*n. Let f be y(6). Is 21*((-123)/(-9) - f) prime? False Let g be (-17)/(-3) + 2/(-3). Suppose g*w = -0*o + 3*o + 470, 66 = w + 5*o. Is w composite? True Let w = 6 - 4. Let j = w - 4. Is (76/16)/(j/(-8)) a prime number? True Let j(t) = 40*t + 3. Let v(o) = 39*o + 4. Let d(z) = -4*j(z) + 5*v(z). Is d(7) prime? False Let k = 6 - 4. Suppose -4 = k*g, -g = 3*c - c + 20. Is -1 - (2 + c)*10 a composite number? True Let g(p) = -11*p**3 - 1. Let a = 2 - -1. Let q be (-3)/(-6 + a)*-1. Is g(q) a prime number? False Let u(n) = 2*n**2 + 5*n + 2. Let d be u(-3). Let y(a) be the third derivative of 5*a**4/12 - a**3/2 + 2*a**2. Is y(d) prime? True Suppose -3*x + 18 = -v, -15 = -3*v + 2*x - 41. Let p be v/15 - (-1007)/5. Suppose -p = -c - 2*c. Is c a prime number? True Is 382113/63 + 4/(-14) prime? False Suppose -2*h - 3*o - 1 = 0, 3*h - 3*o - 7 = 8*h. Let r = 0 - h. Suppose 0 = -r*q + 3*q - 51. Is q a composite number? True Let i = 335 + 71. Suppose -i = -5*u + 3*u. Is u prime? False Let l(h) = -h**3 - 7*h**2 + 6*h - 8. Let i be l(-8). Let n be 1*(-3)/(-3)*5. Is (1 + (i - -2))*n prime? False Let l(w) be the third derivative of -3*w**5/20 + w**4/24 + w**3/6 + 3*w**2. Let d be l(2). Is (-8)/(-44) + (-2931)/d prime? True Let y = 97 - -898. Is y composite? True Suppose -3*v - v - 2*l = -1408, -4*l - 370 = -v. Let m be (-3)/((-4)/(16/3)). Suppose -j = -3*n - 82 - 1, -m*j + v = -n. Is j a composite number? False Suppose -4*o = s - 2*s - 1379, -5*o + 1740 = 2*s. Let i be o/3*(3 - 6). Is 6/15 - i/10 composite? True Suppose 0 = -5*o - 4*j - 2 - 8, -o - 2*j = 8. Suppose -o*h - 3*h - 10 = 0. Is h/7 + 662/14 composite? False Suppose 3*r = -p - 561, -2*p - 20 = -4*r - 778. Is 9/6*r/(-6) prime? True Is (4 + (-298)/(-4))*4 composite? True Let h = 8 + 79. Is h a composite number? True Is ((-1)/2)/(10/(-7100)) a prime number? False Let j(o) = -o**3 + 2*o**2 + o - 1. Let q be j(2). Let c = q - -22. Is c prime? True Let g(r) = -2*r**3 + 8*r**2 - 2*r - 5. Let y be g(5). Let k = 24 - y. Is k prime? True Let p(q) = 2*q**2 - 10*q - 17. Is p(-6) composite? True Let b be (-2508)/7 + 2/7. Let y = -255 - b. Is y a prime number? True Let y be 1 + 1 + 0 + 7. Suppose 5*b - 29 = b + 5*l, 5*b - 20 = 3*l. Let t = y + b. Is t a composite number? True Let t = -412 + 1157. Is t a prime number? False Let u(d) = -d**3 + d**2 + 2*d + 217. Is u(0) prime? False Is (194/8)/(3/60) composite? True Suppose -4*c - 12 = 4*w + c, -5*c - 24 = -2*w. Suppose 0 = 4*j - w*t - 264 - 90, 5*j + 3*t = 448. Is j a prime number? True Suppose -237 = -0*u - u + 4*o, 3*u + 2*o = 641. Suppose 61 = m + 3*x - 16, 2*x - u = -3*m. Is m prime? True Let h(a) = 28*a**2 - 28*a**2 + a**3 + 65. Is h(0) a prime number? Fal
{ "pile_set_name": "DM Mathematics" }
Let k be (2/(-1 + -3))/(10/4). What is the second smallest value in -5, k, v? v Let n = -0.092 + 0.175. Let f = n - 3.083. Which is the third smallest value? (a) f (b) 4 (c) 0.03 b Let t = -4.375 - 0.625. Which is the third biggest value? (a) -3 (b) 0.7 (c) t c Let v = 1690 + -204487/121. Let o = v - 281/1573. What is the third biggest value in -0.1, o, -2? -2 Let i = 2 - 0. Let g = -3 + i. Let p be ((-4)/10)/(754/(-290)). What is the biggest value in -3, p, g? p Let m = -0.27 - 2.93. Let r = m + 2.7. Let q be (-1)/(-9) + -3 + 3. What is the biggest value in 5, q, r? 5 Let j(t) = 19*t + 155. Let z be j(-8). Let v(n) = n**3 - 5*n**2 + n + 2. Let w be v(3). Which is the second biggest value? (a) -2/7 (b) w (c) z (d) 4 c Let h = -209/2 - -1481/14. Which is the biggest value? (a) 4 (b) -1 (c) h a Let h = 27.09 + -27.29. Which is the fourth biggest value? (a) 0.02 (b) -0.5 (c) h (d) -1/26 b Suppose 0 = 5*m - 302 - 53. Let v = 353/5 - m. What is the biggest value in -10, 5, v? 5 Let g = -1.31 + 0.31. Which is the third smallest value? (a) g (b) -71 (c) -3 a Let t = 45791/6106 - -2/3053. Which is the third biggest value? (a) 1/5 (b) 8 (c) t a Let v = -0.06 - 0.44. Let j = v - 1.5. Let q = -87/380 + -2/95. What is the second biggest value in q, j, -3/4? -3/4 Let r = -28 - -33. Let u = r + -4.6. Suppose 0 = 4*z + 4*l - 12, 5*l - 23 = 3*z - 0*z. What is the smallest value in z, -0.4, u? z Let h = 2 + -1.7. Let v = -0.081 + 7.181. Let j = -7 + v. Which is the second smallest value? (a) 1/5 (b) h (c) j a Let t = 11 + -8. Let u = 4/245 - -366/7595. Which is the second smallest value? (a) u (b) -0.5 (c) t a Let w = 150 - 150.06. Let j = w + 4.06. Let y = 0.4 + -2.4. Which is the second smallest value? (a) -1/4 (b) y (c) j a Let g = -484/3 - -2096/13. Let n be ((-2)/9)/(52/2). Let o = g + n. Which is the smallest value? (a) o (b) -0.2 (c) -0.1 b Let i = 3.15 - 3.14. What is the fourth biggest value in 3, 0.2, 0.5, i? i Let y be (3 + 0 - 0)*(-8)/60. Let c = -0.03 - 2.97. What is the third biggest value in c, y, -0.02? c Let y = 311/6 - 52. Let f = -0.2 + 0. Which is the smallest value? (a) 5 (b) 1/5 (c) y (d) f d Suppose -2*x = 3*q + 24 - 3, 5*q = -3*x - 34. Let l = -1/160 + 193/160. What is the second smallest value in 1, 0.3, x, l? 0.3 Let m = 36 + -34.2. Let l be -3*(312/(-54) + 6). Which is the second biggest value? (a) m (b) 0.4 (c) l b Let u = -162 + 161.6. Let p = -9/2 + 4. Which is the second smallest value? (a) -12 (b) u (c) p c Let y = -1.3 + 0.9. Let v = 1109/5 - 221. Which is the biggest value? (a) v (b) 5 (c) y b Let s(z) = -18*z - 35. Let o be s(-2). Which is the second biggest value? (a) -1 (b) -4 (c) -1/4 (d) o c Let w(b) = -9*b - 317. Let g be w(-35). What is the fourth biggest value in 0.06, 0, -21, g? -21 Let l = -0.125 + 0.865. Let m = l - 1.74. Which is the third biggest value? (a) 8 (b) m (c) -3 (d) -0.5 b Let k(x) = -x**2 + 6*x + 5. Let t be k(6). Let r = 43 - 45. Which is the biggest value? (a) r (b) -5 (c) t (d) -4 c Suppose 0 = 2*r - 2*w - 4, -5*r - 3*w - 20 = -2*w. Let h = -5.1 - -5.26. What is the second biggest value in 0, h, r? 0 Let p = 0.235 + -0.235. Let r = 22528/25551 + 1/1503. Let o = r - 126/85. Which is the smallest value? (a) p (b) -3 (c) o b Let w = 51/413 + 18/59. What is the third biggest value in 3, -16, w? -16 Suppose -5*l + 37 = 22. Which is the biggest value? (a) -3 (b) -23/5 (c) l (d) 5 d Let r = -2 + 1. Let t be r/2*10/(-45). Let u = -1.4 - -0.4. Which is the second smallest value? (a) t (b) u (c) -0.3 c Let z be (-7)/126*4*3. Let y = -0.05 + 0.35. Which is the smallest value? (a) y (b) -0.4 (c) z (d) -5 d Let v be (-22)/2 + 290/25. What is the biggest value in -3, -11/3, v? v Let d = 183 - 179. Which is the third biggest value? (a) 0.3 (b) d (c) -8 c Let p(s) = -s**2 - 3*s + 7. Let z be p(-6). Let q be 453/(-2552) + (-2)/z. Let v = q - 11/29. Which is the third smallest value? (a) v (b) 2 (c) -4 b Suppose -3 = -0*b + 3*b. Let a be 1*b + (-13)/(-26). Let x = -3.6 - -1.6. What is the second smallest value in a, x, -0.2? a Let k = 1521/7 + -217. Which is the second smallest value? (a) -0.01 (b) -3 (c) 5 (d) k a Let d = 13 - 8. Suppose 5*g - 4*y + 0 - 27 = 0, 6*g - 5*y = 33. Let l(n) = -n**2 + 4*n + 1. Let s be l(5). What is the second smallest value in g, s, d? g Let n = -38 + 42. Let g be (-14)/12 - 3/(-6). Which is the second biggest value? (a) -2 (b) g (c) n b Let u = -0.7 + -2.3. Let i = 4.673 + -0.073. Let t = 4.69 - i. Which is the second biggest value? (a) -2/9 (b) t (c) u a Let p be (-20)/48*(-329)/5. Let t = -80/3 + p. Which is the biggest value? (a) -1 (b) 0 (c) t c Let u = -279 + 279.1. Which is the second biggest value? (a) 2 (b) u (c) -2/9 (d) -5 b Let f = -331.4 + 331. What is the second smallest value in f, 0, -0.022? -0.022 Let d = 1379 + -1381. What is the third biggest value in d, 2/7, 4, 6/11? 2/7 Let h be 5940/(-1100) - (-6)/(-2)*-2. Which is the second biggest value? (a) 17 (b) -0.3 (c) 1 (d) h c Let j = 0.034 + -28.034. Let i = 27.5 + j. Let z = 8 - 8. Which is the second biggest value? (a) i (b) z (c) -5 a Let p = -8 - -4. Let b = 3.2 - 1.2. What is the biggest value in b, 2/17, p? b Let x = -0.1253 - -12.1253. What is the second smallest value in -7, -2, x? -2 Let z = 0.33 + -0.83. Which is the biggest value? (a) 2 (b) -0.1 (c) -4 (d) z a Let x be 2/4*(-2)/3. Let q be (-2)/9 - ((-3)/135)/1. Which is the third biggest value? (a) q (b) 0.4 (c) x c Let s = -0.169 + 230.169. Let g = -236 + s. Let i be 2/10*5/(-6). Which is the biggest value? (a) -0.5 (b) i (c) g b Let o = -65 - -104. Let l = o + -53. What is the smallest value in -4/3, 5, l? l Let z be (1 - 1) + 2/(-13). Let i = -21.5 - -22. Let q = 0.4 - i. What is the second biggest value in 2/9, z, q? q Let v = 69.66 + -69. Let q = -0.34 - v. Which is the smallest value? (a) -0.2 (b) 2 (c) q (d) -0.3 c Let d = 184.1 - 184. What is the second smallest value in 0.03, d, 0? 0.03 Let o(g) = -8*g - 63. Let d be o(-19). Let p = d + -88. What is the third smallest value in -0.6, -0.1, p? p Let i be 138/24 - 66/11. Let t be -1 - ((-57)/(-51) + -2). Which is the second biggest value? (a) 0.5 (b) t (c) i b Let q be 4/16 - (11/(-649))/(4/(-51)). Let j be (-8)/(-6)*6/(-4). Which is the biggest value? (a) -1 (b) j (c) q c Suppose 189*t = 193*t + 16. Let c = -1.96 + -0.04. What is the second smallest value in c, t, -0.1? c Let u = -4/19935 + -91549/757530. Let d = 24317/17290 - u. Let v = d + -18/13. What is the biggest value in 2, v, 1/4? 2 Let w = -1 + 1. Let x = -31.5 - -35.5. What is the third smallest value in -12, x, w? x Let w = -7/18 + -1/9. Let l = -1209/7 - -173. What is the fourth biggest value in -0.3, w, l, -2/7? w Let q = 6.3 - 8. Let l = -6.7 - q. Let j = 397/6 - 66. Which is the second biggest value? (a) 5 (b) l (c) j c Let m = -32 - -35.3. Let n = 3.2 - m. Let o = -9/28 - -1/14. What is the second smallest value in o, -0.03, n? n Let p = 78736.91 - 79702. Let y = p - -961. Let u = y - -4. Which is the third smallest value? (a) 2 (b) -2 (c) u a Let a = 0.29 + 0.11. Let t = -0.9 - -1. What is the biggest value in t, -5, a? a Let n be 333/(-594) + 8/132. Which is the biggest value? (a) 84 (b) -3 (c) n a Let x = -29.91 + 30. Let p = x - 4.09. What is the smallest value in 1/2, p, -1/5? p Let h = 100/27 - 166/27. Which is the third biggest value? (a) -3/7 (b) h (c) 0 b Let z be (-8 - 380/(-45)) + (-11)/45. Which is the third biggest value? (a) -12/17 (b) z (c) 1 a Let h = 0.197 - -0.603. What is the second smallest value in 0, h, 5, -6? 0 Let l = 2 - 5. Let o = -78.9 - -82.9. Which is the third biggest value? (a) -2 (b) o (c) l (d) -0.17 a Let x = -279.6 + 280.6. Which is the smallest value? (a) x (b) -4 (c) 0.3 (d) -0.6 b Let m = 0.349 - 0.409. Which is the biggest value? (a) -0.9 (b) 1/2 (c) m b Let v = -2459/2 + 1197. Let q = v - -32. Let x be 10/(-4) - (-1)/1. Which is the third smallest value? (a) -5 (b) q (c) x b Let y(o) = 11*o + 19. Let f be y(-6). Let j = f - -43. Suppose -3*k - 2*x = -8, -5*k + 4*x = -4*k + 16. Which is the smallest value? (a) -1 (b) k (c) j c Let o be 3*(-8)
{ "pile_set_name": "DM Mathematics" }
d(-11). 33 Let f(w) = -w + 27. What is f(9)? 18 Let k(d) = -d**2 + 15*d + 37. Determine k(18). -17 Let m(h) = h**2 + 9*h - 23. What is m(-8)? -31 Let n(f) = 58*f - 238. Determine n(4). -6 Let p(k) = 11*k**2 - 77*k + 14. What is p(7)? 14 Let p(y) = 2*y**3 - 13*y**2 - 6*y + 17. What is p(6)? -55 Let c(l) = -5*l**2 + 5*l - 3. Calculate c(4). -63 Let i(j) = j**3 - 6*j**2 - 21*j - 29. Calculate i(9). 25 Let l(g) = -g**3 - g**2 - 2*g + 2. Determine l(3). -40 Let f(c) = c**2 - 9*c + 14. What is f(6)? -4 Let o(u) = 2*u - 5. Determine o(2). -1 Let f(s) = s**3 - 8*s**2 + 6*s - 7. What is f(5)? -52 Let n(d) = 7*d**2 - 146*d - 28. Give n(21). -7 Let s(c) = -c**2 - 13*c - 23. Give s(-10). 7 Let o(z) = 21*z - 18. Calculate o(-6). -144 Let s(r) = r**3 + 8*r**2 - 11*r - 11. Calculate s(-9). 7 Let q(v) = -v**3 - 20*v**2 - v - 2. Calculate q(-20). 18 Let g(b) = 2*b**3 - 61*b**2 - 31*b + 7. Calculate g(31). 7 Let u(p) = -p**2 + 39*p - 74. Give u(36). 34 Let l(h) = -25*h**3 - h**2 + 5*h + 6. Give l(-1). 25 Let n(i) = -i**3 + i**2 + 4. Determine n(2). 0 Let r(y) = 2*y**2 - 4*y - 3. Give r(-2). 13 Let f(b) = -b**3 + 4*b**2 + b - 2. Determine f(5). -22 Let o(h) = h**3 - h**2 - 16*h + 5. What is o(0)? 5 Let s(i) = -3*i**3 + 3*i**2 + 6*i + 2. Calculate s(-2). 26 Let r(t) = 6*t**2 - 3*t - 16. Give r(-4). 92 Let x(i) = i**2 + 11*i + 7. Give x(-7). -21 Let c(x) = 2*x**3 - 2*x**2 - 11*x + 10. Calculate c(4). 62 Let x(n) = n**2 - 2*n + 3. What is x(-4)? 27 Let w(z) = 8*z**3 + z - 2. What is w(1)? 7 Let u(m) = m**3 - 5*m**2 + m - 4. Give u(5). 1 Let u(s) = -s**3 - 7*s**2 - 9*s + 9. Determine u(-5). 4 Let n(x) = 10*x - 8. Calculate n(9). 82 Let t(n) = 5*n**2 + 2*n + 8. Give t(3). 59 Let m(b) = -9*b + 61. Determine m(7). -2 Let v(t) = -t**3 - 10*t**2 + 40*t - 5. Calculate v(-13). -18 Let o(j) = j**2 - 29*j - 25. Determine o(26). -103 Let o(q) = -2*q + 20. What is o(11)? -2 Let p(s) = -s**2 + 14*s + 1. Calculate p(13). 14 Let t(w) = 5*w**3 - 1. Give t(-1). -6 Let y(k) = -k**2 + 15*k - 2. Calculate y(14). 12 Let m(r) = -4*r**3 - r**2 - r + 1. Determine m(1). -5 Let o(h) = -4*h**2 + 197*h + 161. Determine o(50). 11 Let s(k) = k**2 - k - 1. Determine s(5). 19 Let p(b) = 2*b**2 - 12*b - 8. Calculate p(9). 46 Let t(r) = 2*r + 8. Calculate t(-1). 6 Let z(k) = 2*k**3 - k**2 - 2*k - 1. What is z(2)? 7 Let u(g) = g**3 + 9*g**2 + 5*g + 22. What is u(-9)? -23 Let n(o) = 31*o**2 - 1. Calculate n(-1). 30 Let t(v) = -9*v - 222. Give t(-25). 3 Let m(w) = -w**3 - 7*w**2 - 11*w. Calculate m(-5). 5 Let w(a) = -a**3 - 11*a**2 - 7*a - 7. What is w(-10)? -37 Let v(z) = z**3 + 9*z**2 - 2*z + 49. Calculate v(-10). -31 Let v(z) = -5*z + 6. What is v(2)? -4 Let x(c) = -c**3 + 3*c + 2. What is x(-1)? 0 Let h(s) = 5*s + 20. Give h(-9). -25 Let m(b) = 2*b**2 - 5*b - 12. What is m(4)? 0 Let s(x) = 94*x**2 - x + 1. Give s(1). 94 Let m(g) = g**2 + 13*g + 14. Determine m(-9). -22 Let t(p) = -p**2 + 7*p + 38. Determine t(9). 20 Let a(f) = -f**2 + 83*f - 604. What is a(8)? -4 Let v(y) = y**2 + 3*y - 13. What is v(-10)? 57 Let w(a) = -a**3 + 12*a**2 + a - 17. What is w(12)? -5 Let z(u) = -u**2 + 17*u - 14. Give z(15). 16 Let w(v) = 3*v + 83. What is w(-12)? 47 Let o(f) = 21*f - 2. Calculate o(-3). -65 Let d(f) = 88*f - 612. What is d(7)? 4 Let d(h) = h**3 - 8*h**2 + h - 6. Give d(9). 84 Let f(u) = 2*u + 12. Calculate f(-11). -10 Let z(o) = 2*o**3 - 5*o**2 - 17*o + 17. Determine z(4). -3 Let l(v) = -v**3 - 6*v**2 + 4*v + 20. What is l(-6)? -4 Let f(y) = y**3 + 32*y**2 - 142*y + 79. Calculate f(-36). 7 Let k(f) = -15*f**2 - 164*f + 14. Calculate k(-11). 3 Let m(t) = -t**3 + t**2 - 8*t + 23. What is m(3)? -19 Let r(v) = v**3 - v**2 + v + 60. Give r(0). 60 Let p(l) = -l**3 + 5*l**2 + 4*l - 14. Calculate p(2). 6 Let y(d) = 6*d - 12. What is y(1)? -6 Let p(o) = -o. What is p(5)? -5 Let q(o) = 39*o**2 - 2*o + 3. Calculate q(1). 40 Let a(z) = z**3 + z**2 + z + 1. Calculate a(0). 1 Let n(w) = -w**2 - 15*w - 17. Give n(-13). 9 Let u(n) = -n + 8. What is u(-7)? 15 Let x(t) = -3*t - 21. What is x(-7)? 0 Let j(k) = -k**2 + 12*k - 23. Give j(16). -87 Let d(n) = n**3 + 6*n**2 - 2*n - 47. What is d(-5)? -12 Let y(v) = -v**2 - 13*v - 10. Calculate y(-10). 20 Let l(u) = 3*u**3 - 3*u**2 + u - 2. What is l(2)? 12 Let i(v) = 175*v + 695. Determine i(-4). -5 Let z(x) = x**2 + x - 2. Determine z(2). 4 Let c(y) = 7*y**3 + y**2 - y. Give c(-2). -50 Let s(i) = -i**2 + 4*i + 2. Determine s(7). -19 Let i(a) = -a**3 + 7*a**2 + 8*a + 7. Calculate i(8). 7 Let a(w) = -w**3 - 9*w**2 + 7*w - 20. Calculate a(-10). 10 Let z(q) = q**3 - 5*q**2 - 3*q + 1. Give z(4). -27 Let n(h) = h**3 - 4*h**2 + 4*h - 107. What is n(6)? -11 Let h(k) = -k**3 + 8*k**2 - k - 40. Determine h(7). 2 Let i(l) = 3*l + 3. What is i(-8)? -21 Let l(i) = i**2 - 5*i - 3. Calculate l(6). 3 Let o(r) = 5*r + 1. Determine o(-2). -9 Let j(l) = l**3 + l**2 + 3*l + 1. What is j(-2)? -9 Let u(s) = 6*s**2 + 169*s - 33. What is u(-28)? -61 Let j(i) = -i**2 + 100*i - 377. Determine j(4). 7 Let b(n) = 2*n**2 - 5. Calculate b(3). 13 Let g(t) = 2*t + 12. Give g(-4). 4 Let s(u) = -5*u + 70. Calculate s(15). -5 Let v(u) = 5*u + 1. What is v(1)? 6 Let g(z) = 2*z + 7. What is g(9)? 25 Let y(w) = w**3 + 14*w**2 + 15*w + 32. Determine y(-13). 6 Let w(x) = -x + 1. Give w(-1). 2 Let r(b) = 15*b**3 - b. Calculate r(1). 14 Let y(j) = -j**3 - 8*j**2 + 7*j + 69. Determine y(-7). -29 Let w(n) = -2*n - 11. Determine w(-3). -5 Let g(q) = 2*q**3 + 21*q**2 + 11*q + 11. Determine g(-10). 1 Let n(c) = 2*c**2 + 70*c - 1. Give n(-35). -1 Let v(g) = g**3 + 13*g**2 - 14*g + 5. Give v(-14). 5 Let w(k) = k - 5. Determine w(0). -5 Let y(f) = -2*f**2 + 3*f + 6. Calculate y(5). -29 Let g(b) = -2*b**2 + 25*b - 69. Determine g(6). 9 Let r(s) = s**2 + s. What is r(3)? 12 Let y(h) = h**3 + 2*h**2 + 6*h + 1. Determine y(-2). -11 Let k(j) = -j**2 - 9*j - 17. Determine k(-7). -3 Let q(c) = -4*c - 12. Give q(-6). 12 Let z(l) = -5*l**2 + 4*l - 1. Calculate z(-3). -58 Let k(l) = -l**2 - 20*l + 37. Calculate k(-22). -7 Let y(d) = -2*d + 2. What is y(-5)? 12 Let t(y) = y**3 + 10*y**2 + 26*y + 16. Give t(-5). 11 Let q(o) = 19*o - 3. Determine q(1). 16 Let j(o) = 4*o**3 + 8*o**2 - o - 1. What is j(1)? 10 Let h(o) = o**3 + 12*o**2 + 13*o + 13. Determine h(-11). -9 Let s(o) = 2*o**2 + 2*o - 3. Calculate s(3). 21 Let i(a) = 6*a - 10. Determine i(-3). -28 Let n(i) = 17*i - 3. What is n(3)? 48 Let o(y) = y**2 + 3*y - 9. Calculate o(0). -9 Let f(i) = 3*i**2 - 21*i - 23. Determine f(8). 1 Let c(t) = t**2 - 2*t + 6. What is c(5)? 21 Let z(g) = g**2 + 36*g + 176. What is z(-31)? 21 Let y(i) = -i**3 - 14*i**2 - 14*i - 13. Determine y(-13). 0 Let z(o) = 3*o**3 - 35*o**2 - 13*o + 3. What is z(12)? -9 Let q(r) = 9*r - 5. Give q(5). 40 Let c(z) = z**2 - z + 5. Determine c(4). 17 Let w(p) = -2*p + 32. Calculate w(0). 32 Let h(a) = -9*a**2 - 17*a + 16. What is h(1)? -10 Let x(q) = -2*q**3 + 10*q**2 + 2*q - 6. Give x(5). 4 Let p(l) = l**2 - 2*l - 6. Determine p(0). -6 Let g(w) = -w - 5. Determine g(-6). 1 Let w(q) = -q**3 - 4*q**2 + 7*q + 6. Give w(-5). -4 Let i(m) = m**3 - 22*m**2 - 21*m - 47. Give i(23). -1 Let m(h) = -10*h - 13. Determine m(-3). 17 Let l(k) = k**2 - 11*k + 20. What is l(4)? -8 Let j(l) = -40*l - 479. Determine j(-12). 1 Let h(c) = -c**2 + 29*c - 197. Determine h(19). -7 Let q(a) = 10*a - 12. Determine q(14). 128 Let z(o) = 7*o - 23. Calculate z(7). 26 Let i(u) = -u**3 + u - 29. Calculate i(0). -29 Let h(k) = k**3 + 2*k + 2. Give h(4). 74 Let q(n) = n**3 - 4*n**2 + n + 9. What is q(0)? 9 Let y(f) = -2*f - 76. Determine y(-43). 10 Let q(p) = -p**3 - 18*p**2 - 37*p - 9. Calculate q(-16). 71 Let j(k) = k**3 + 17*k**2 - 18*k + 17. Calculate j(-18). 17 Let o(y) = y**3 + 8*y**2 - 2*y + 8. What is o(-8)? 24 Let o(q) = q**2 + 9*q + 5. What is o(-8)? -3 Let y(r) = r**2 + 2*r + 3. Give y(0). 3 Let j(h) = -2*h + 113. Calculate j(52). 9 Let u(b) = -2*b**2 + 26*b + 39. Determine u(14). 11 Let z(o) = -o**3 - 7*o**2 - o. Determine z(-7). 7 Let q(j) = -j**3 + 2*j**2 - j + 12. Give q(4). -24 Let k(n) = 14*n - 8. Give k(-10). -148 Let m(h) = -3*h**2 - 5*h - 11. What is m(-5)? -61 Let a(w) = -4*w**2 + 34*w - 14. Determine a(8). 2 Let a(m) = 13*m**3 - 2*m**2 + m + 1. Determine a(1). 13 Let l(j) = -29*j + 605. Determine l(21). -4 Let a(f) = -f**
{ "pile_set_name": "DM Mathematics" }
ate the common denominator of (-8)/52 + (-2979)/(-858) and a. 22 Suppose 0 = z - 3*d - 286, d + 435 = z + 149. Calculate the lowest common multiple of 7 and z. 2002 Suppose -36*c + 34*c = -44. What is the common denominator of 19/54 and (11 + 1)/(2 - c/20)? 54 Suppose 13 = 5*z - 2. Suppose 44 = 7*p - z*p. Calculate the smallest common multiple of 6 and p. 66 Suppose 0 = -2*m + 4*d - d + 172, -324 = -4*m + d. What is the lowest common multiple of 88 and m? 880 Let s(u) = u**2 - 9*u + 22. Let v be s(7). Let j = 14 + v. Calculate the least common multiple of j and 14. 154 Let l = 443334/639205 - -4/13045. Calculate the common denominator of l and -111/56. 392 What is the least common multiple of 1426 and (-4 + 7/2)*-16? 5704 Let b(u) = u**2 - 4*u - 7. Let a be b(5). Let h = -2402/195 + -16/195. What is the common denominator of (-2101)/(-330) - a/6 and h? 10 Suppose -s = 5*v - 174, 5*v + 0*s - 190 = -5*s. What is the smallest common multiple of v and 2? 34 Let f = -5205/4 + 1295. What is the common denominator of f and 55/8? 8 Suppose 0 = 2*p + 3*n + 3767, 5622 = -6*p + 3*p + 5*n. Let z = p - -22561/12. What is the common denominator of (-58)/87*(-165)/28 and z? 84 Suppose 7*q - 149 + 37 = 0. Calculate the least common multiple of q and 88. 176 Let g = 49654 - 7150139/144. What is the common denominator of g and -145/192? 576 Let t = -724/15 - -158/5. What is the common denominator of -29/9 and t? 9 Let h = -132 + 211. Let y = -47 + h. Suppose v = 5*v - y. Calculate the lowest common multiple of 22 and v. 88 Let o = -10091/4 + 2541. Calculate the common denominator of o and 15/8. 8 Let v(d) = 12*d + 176. Calculate the lowest common multiple of 92 and v(-13). 460 Let z = 90097 - 54058213/600. What is the common denominator of -5/8 and z? 600 Let p be 12/(-8)*(-2)/3. Suppose -w = 5, p + 8 = -n - 5*w. Calculate the smallest common multiple of 28 and n. 112 Let w = 465/2 + -241. Calculate the common denominator of w and 149/60. 60 Let q = -10 + 22. Let t be (9/q)/((-1)/(-124)). What is the smallest common multiple of 8 and 1/(-3) - t/(-9)? 40 Let x = -52 + 102. Let u = x - 49. Calculate the smallest common multiple of 11 and u. 11 Let v = 3386 + -30712. Let o = v - -819943/30. Find the common denominator of o and -88/21. 210 Let z = 313 + -269. Calculate the lowest common multiple of -2 - (1 + -37)/2 and z. 176 Let m(t) = -t**2 + t. Let r be m(3). Calculate the common denominator of 42/11 and (-3 + (-6)/(-4))/(r/(-86)). 22 Let x = -2/463 + 3253/2778. Let p = -34730/166391 - -48/227. Let a = p - -12453/2932. What is the common denominator of x and a? 12 Let f(d) = -d**3 + 7*d**2 + 10*d - 3. Let t(z) = -z**3 + 6*z**2 + 9*z - 2. Let y(m) = -6*f(m) + 7*t(m). Calculate the smallest common multiple of 6 and y(-3). 66 Calculate the common denominator of (294/30)/(16/5) and 59/400. 400 Suppose 463*k - 445*k - 162 = 0. What is the smallest common multiple of k and 96? 288 Let d be (60/18)/(6/9). Suppose 20 = d*b, m - b = 20 + 1. What is the least common multiple of 3 and ((-80)/m)/(4/(-10))? 24 Let b = -17/81 + 2996/1539. What is the common denominator of -37/9 and b? 171 Let n(a) = 35343*a - 20. Let t be n(10). Let h be (-2)/9 + t/(-90). Find the common denominator of 79/4 and h/(-2562) - (3 + -1). 244 Let h be (-33289)/37010 + 1 - 3. Let m = -2/3701 + h. What is the common denominator of m and 81/110? 110 Let l be 65/3 - 1/(-3). Let k = 29 - l. Calculate the lowest common multiple of k and 10. 70 Let o = 1196 + -2345/2. Let y = -167017/33972 - 1/2831. Calculate the common denominator of y and o. 12 Calculate the common denominator of 83/78 and 91/504 - 2/9. 312 Let b(u) = u**2 + 3*u + 72. Let g be b(0). Calculate the smallest common multiple of (-9)/(-12)*g/6 and 1. 9 What is the common denominator of 77/30 and (2 + 5/(-4))*(-1702)/(-1265)? 330 Let d = -96916154243/3652 + 26537825. Let s be 2/16 - (-5526)/(-43824). Let b = s + d. Find the common denominator of b and -15/8. 8 Let j be (-10)/2*(-8 + 7). Calculate the common denominator of 2 - (j/70 + -3) and -39/22. 154 Let q be (-24)/(-9)*(-99)/6. Let z = -67441/10 - -6733. Calculate the common denominator of (1 - 1) + 186/q and z. 110 Suppose -7*n + 88 = -3*n. Suppose 5*w + 0*k - 751 = k, -4*w + 596 = 4*k. Calculate the least common multiple of w/(-6)*4/(-10) and n. 110 Suppose -2 = -2*d + 18. Let u = -50 + 97. Find the common denominator of -27/7 and 1/d*(0 - u). 70 Let g = 122 - 117. Let y(v) = -v**3 + 4*v**2 + 6*v + 3. What is the smallest common multiple of 14 and y(g)? 56 Suppose 5*t - 76 = 17729. Let j = 21269/6 - t. Calculate the common denominator of -67/39 and j. 78 Suppose 42*r - 432 = 15*r. What is the lowest common multiple of 30 and r? 240 Calculate the common denominator of 2/4 + (-67)/8 and (370 - 369)/((-83)/168 - 6/(-21)). 40 Let f(s) = s**3 + 3*s**2 - 2*s - 4. Let j be f(-4). Let i be ((-3)/(-4))/(1/j). Let m = 19 + i. What is the lowest common multiple of 18 and m? 90 Let j be ((-3)/9)/(2/(-378)). What is the common denominator of j/6 - (-1 - -5) and -10? 2 Let w be 20*((-10)/4 + 3). Suppose -2*f - 4 = -w. Suppose -v - f + 5 = 0. What is the smallest common multiple of 10 and v? 10 Let u be (-149)/84 - 24/84. Let d be ((-952)/36)/((-16)/(-6)). Let p = u - d. What is the common denominator of p and 42/5? 35 Let w = -1/2362 + 89797/96842. Let g = -51/38 + -5/152. Calculate the common denominator of g and w. 328 Let y be 90/(-12)*2/(-3). Suppose -3*w - 5*k + 1 = 2, y*k = 2*w - 41. Suppose 6*a - 3*o = 4*a + 20, a + 4*o = 32. What is the lowest common multiple of a and w? 16 Let f be 20916/(-16) + (-9)/12. Let s = f + 506. Let h = 8808/11 + s. What is the common denominator of h and -85/8? 88 Let m = 525/2347193 - 19919530594/37073913435. Let d = 139/486 - m. Find the common denominator of 83/6 and d. 390 Let w be 5010/330 + 2/11*-1. Let f = 17065/2496 + -3/832. Calculate the common denominator of 7/(35/w)*9/(-4) and f. 12 Let s(i) = i**2 + 5*i - 3. Let g be s(-6). Suppose g*a = 32 + 118. Let f = -370 + 3326/9. Calculate the common denominator of a and f. 9 Let b = -5828 + 128243/22. Find the common denominator of b and 181/60. 660 Calculate the common denominator of -5 + ((-30)/500)/((-18)/465) and -27/28. 140 Let s be (0 + 10/15)*-45. Calculate the common denominator of -1 + 2 + -2 + 183/s and 1/1 + 170/(-4). 10 Suppose 0 = 5*s - 24 - 1. Let n be s + -1 + 2 + 0. Let h = n + 26. What is the smallest common multiple of 20 and h? 160 Find the common denominator of 2/117 and 1*4/22 - (-79640)/(-25410). 819 Let v be ((-49)/1)/(1*-1). Let m = v + -7. Let q = -2657/309 + -7/103. Calculate the common denominator of m and q. 3 Let h be 35/14*6*-1. What is the smallest common multiple of -1*(-341 - h/(-5)) and 4? 344 Find the common denominator of (-4734)/(-3672) + (-1)/1 and -37/22. 2244 Suppose d = -6*k + k - 18, -2*k = 4*d + 18. Let g = k - -7. Calculate the least common multiple of 11 and g. 44 Let r be 0 + 1 - 2214632756355/(-77708349312). Let u = r - -2/18396863. Let a = u - -1/1408. Calculate the common denominator of 75/8 and a. 8 Let j = -18 + 160/9. What is the common denominator of 32/3 and j? 9 Suppose 12 = n - 3. Calculate the smallest common multiple of n and 15. 15 Calculate the common denominator of 9/10 and -82*(-54)/(-2028) + 2. 1690 Let m(r) = -7*r**3 + 4*r**2 + 4*r + 2. Let z be m(-2). Find the common denominator of -23/10 and (-4)/8*(-618)/z. 110 Let z(o) = -2*o**3 - 17*o**2 - 6*o + 18. Calculate the least common multiple of 34 and z(-8). 34 Calculate the common denominator of ((-38181)/208)/11*4/(-6) and 109/20. 40 Let k(h) = 3*h - 42. Calculate the smallest common multiple of k(16) and 58. 174 What is the common denominator of (-1)/27*(-4 + -34) and (-4)/(-12) - 15/168*-4? 378 Let z(c) = -c**3 + 27*c**2 + 90*c + 96. What is the smallest common multiple of 88 and z(30)? 1056 Let w be (-4)/(-10 - -2)*-6. Let s = 9435 + -113333/12. Find the common denominator of 1 - w*69/(-90) and s. 60 What is the smallest common multiple of 24 and (86/344)/(1 + 203/(-204))? 408 Suppose 0 = -5*t - 9*x + 33, 11 = 4*t + 3*x - 7. What is the lowest common multiple of t and 2288? 6864 Let p(z) = -z**2 + 10*z - 7. Let k be p(9). Suppose -3*b - k + 20 = 0. Calculate the least common multiple of 2 a
{ "pile_set_name": "DM Mathematics" }
+ 2 + 0)*(-r + 3*r - r) + r - 2*r + 3*r) - 2*r - 3*r + 7*r. 66*r Expand 3*y**2 - 3*y**2 - y**4 + (11*y - 7 + 7)*(-165 + 165 + 2*y**3 + 8*y). 21*y**4 + 88*y**2 Expand (-34*w - 6 + 2 - 17*w)*(4 - 4 + 2*w) - 3*w**2 + 3*w - 3*w. -105*w**2 - 8*w Expand (-27*t - 69*t + 128*t**2 - 130*t**2)*(3*t**2 - t**3 - 4*t**2 + 2*t**3). -2*t**5 - 94*t**4 + 96*t**3 Expand (-1 + 1 + 2*p**4 + 3*p**4 - 6*p**4 + 2*p**4 + (-1 + 1 - 2*p**3)*(-16 + 11*p + 16))*(p - 3*p + p)*(1 - 1 - 2). -42*p**5 Expand (-6*q**3 + 13*q**3 + 7*q**3)*(11*q - 8*q - 2*q - 4). 14*q**4 - 56*q**3 Expand (5 - 3 - 4)*(-2 + 2 - l) + 2*l - 3*l - 12*l. -11*l Expand -32*m**3 - 2*m**3 + 2*m**3 + (m**3 + 1 - 1)*(0 + 1 + 0) - 2*m + 2*m + m**3 + 4*m**2 - 4*m**2 + m**3 + 0*m**3 - m**3 - m**3. -31*m**3 Expand -b**2 - b**2 + b**2 + (-b + 4*b - b)*(0*b + 2*b + 0*b) - 3*b**2 + 3*b**2 - 5*b**2 - 65 - 9*b**2 + 65. -11*b**2 Expand (-5*z + 4*z + 15*z)*(-22 + 22 + 22*z). 308*z**2 Expand (0*j**3 - 2*j**3 + 0*j**3)*(0 + 0 - 2*j) - 82*j**4 + 3518*j**2 - 3518*j**2 + (j - 5*j + 2*j)*(4*j**3 + 3*j**3 - 5*j**3). -82*j**4 Expand (-5*h**3 + h**3 + 3*h**3)*(80*h**2 - 189 + 83*h**2 - 161*h**2) + (5*h**2 - h**2 - 3*h**2)*(h**3 - 3*h**3 + h**3). -3*h**5 + 189*h**3 Expand (-2 + 2*f + 2)*(-2*f - 3*f + 4*f) - 2*f**2 + 0*f**2 + 0*f**2 + (-2*f + f + 0*f)*(5*f + 0*f - 3*f) - 30 + 30 - 85*f**2. -91*f**2 Expand 0 - w + 0 + (-3 + 3 + 1)*(8*w + 7*w - 6 - 30*w). -16*w - 6 Expand (61*p - 3 - 61*p - 4*p**2)*(10 - 4*p + 10*p - 8*p). 8*p**3 - 40*p**2 + 6*p - 30 Expand -4*w**5 - w**4 + w**4 + (2*w - 3*w + 3*w)*(2*w**4 + 0*w**4 - 3*w**4) + (w**4 - w**4 + 5*w**4)*(-2*w + 4*w + 0*w). 4*w**5 Expand -2*i**5 + 6*i**5 - 2*i**5 + (0*i + 0*i - i**2)*(2*i - i**3 - 2*i) + i**5 + 4*i**2 - 4*i**2 + 110*i**5 + 64*i**5 + 47*i**5. 225*i**5 Expand (g - 3 + 0*g - 4*g)*(-5*g + g - 6 - 3). 12*g**2 + 39*g + 27 Expand (t - 1 + 1)*(-2*t**3 + t**3 - 4*t**3) + (4*t**3 - 4*t**3 + t**3)*(3 - 3 + t) - 21*t**4 + 5*t**4 - 8*t**4. -28*t**4 Expand (0*p - 4*p + 2*p)*(-p + 5*p**2 - 23 - 4*p**2 - 72). -2*p**3 + 2*p**2 + 190*p Expand (3*q - 2*q - 4*q)*(32*q + 13*q - 3*q) + (2 - 2*q**2 - 2)*(-1 + 1 - 1). -124*q**2 Expand (9 - 2*c - 9)*(-7 + 37 + 4). -68*c Expand -37*f**2 - f**4 + 39*f**2 - 2*f**4 + 11*f**4 + 30*f - 30*f + (f**3 - 2*f**2 + 2*f**2)*(-f + 3*f + 0*f) + 0*f**4 + 2*f**4 + 0*f**4. 12*f**4 + 2*f**2 Expand (113*i + 124*i**4 - 113*i)*(i - 2*i + 0*i + 3*i - i - 5*i + (-2*i - 1 + 1)*(-3 + 4 + 1) + 2*i + 1 - 1). -744*i**5 Expand (-q**2 + 4 - 4)*(-1 - 2 + q**2 + 0*q**2) + 2*q**4 - 6*q**4 - 11*q**4. -16*q**4 + 3*q**2 Expand (-z + 0*z + 0*z)*(0*z + 3*z - z) - 8*z**2 - 2*z**2 + 0*z**2 + (3 + 3 - 5)*(z**2 - z**2 + 3*z**2) - z**2 - 2*z**2 + 5*z**2. -7*z**2 Expand (i**5 - 4*i**2 + 4*i**2)*(47 + 19 + 54). 120*i**5 Expand (4*i - 2*i + 0*i)*(-780 - 2046 - 68 + 33). -5722*i Expand (2*i**2 - 4*i**2 + 4*i**2)*(i + 0 + 0)*((2 + 2*i - 2)*(0 + 3 - 19) + 5*i - 2*i + 4*i). -50*i**4 Expand 230*g**2 - 267*g + 267*g + (2*g + 0*g - 3*g)*(-2*g - 4*g + 4*g) + 3*g**2 - g**2 - g**2. 233*g**2 Expand 168 - 168 + 15*m**2 + (-4*m**2 - 2*m**2 + m**2)*(2 + 2 - 3). 10*m**2 Expand (-495 - 487 + 914)*(2*h**3 + 0*h**2 + 0*h**2 + h**4). -68*h**4 - 136*h**3 Expand -3*z**3 + 7*z**4 + 3*z**3 + 6*z**4 - 3*z**4 - 6*z**4 + 0*z**3 + z**4 + 0*z**3 + (-3 + 3 + 1)*(2*z**4 + 0*z**4 - z**4) - 3*z**4 + 4*z**4 + 2*z**4. 9*z**4 Expand ((1 - 1 - 1)*(-3*z**2 + 3*z**2 - z**3) + 0*z**3 + z**3 + z**3 + z**2 - z**3 - z**2)*((2 + 4 - 4)*(3 + 2 - 3) - 28 + 7 - 25). -84*z**3 Expand (n - n + n)*(2 - 2 + 1 - 4 + 0 - 2 + (0 + 0 + 1)*(-5 + 1 + 2) + 0 - 2 + 4 + (3 - 1 + 0)*(-5 + 0 + 3)). -9*n Expand 6*f + 3*f - 5*f + (3 - 4 + 4)*(3*f - 5*f - 6*f). -20*f Expand (383 - 160 - 492)*(-4*k**4 - 5*k + 5*k). 1076*k**4 Expand (0 + 2 - 3)*(-81 + 81 - 24*c**2)*(-4 + 1 + 1 - 2*c). -48*c**3 - 48*c**2 Expand (-3*x**5 - 196 + 76 + 4)*(2 + 4 - 4). -6*x**5 - 232 Expand y**5 + 0*y**5 + 0*y**5 + 5*y + y**5 - 5*y + (2*y**3 + 0*y**2 + 0*y**2)*(-322*y - 31*y**2 + 322*y). -60*y**5 Expand (-3*k + k**2 + 6*k - 2*k**2)*(-38*k**3 - 57*k**2 + 57*k**2). 38*k**5 - 114*k**4 Expand ((4 + 0 + 4)*(17 + 7*n - 17) - 2 + 2 - n)*(7*n**4 - 3*n**4 + 4*n**4). 440*n**5 Expand (-1 - 3 + 2 - 239 + 113 + 106 + 1 - 1 - 1 + (-5 + 3 + 1)*(0 + 4 - 2))*(-1 + 2*g + 1). -50*g Expand (2*l - 10 + 31 - 12)*(-2 - 4 + 4). -4*l - 18 Expand (-94*g**3 + 340*g**3 - 169*g**3)*(0 + 2*g + 0 + 4*g - 3*g - 3*g - g + 3*g - g + (0 - 2 + 0)*(3 - 3 - g) + 2 - g - 2*g + 4*g). 308*g**4 + 154*g**3 Expand -6 - 2*p**4 + p**3 + 6 + 2*p**4 + p**4 - 6*p**4 + (0*p + 2*p**3 + 0*p)*(-2*p - 4 + 4) - 12*p**4 + 116*p**3 - 116*p**3. -21*p**4 + p**3 Expand 4*p - 4*p**4 - 4*p + (p + 3 - 3)*(2*p**3 + 0 + 0) - 11*p**4 + 0*p**4 + 2*p**4. -11*p**4 Expand (-3 + 0*u + 3*u + 0*u)*(-22*u**4 + 9*u**4 + 16*u**4)*(4 + 3 - 2). 45*u**5 - 45*u**4 Expand (5*c - 3*c + 13*c)*((-5*c + c + 2*c)*(1 + 2 - 4) + 4*c - 3*c + 2*c). 75*c**2 Expand ((-2 - 1 + 1)*(-2*w + 0 + 0) - w - 4*w + 6*w + (-4*w + 5*w + 0*w)*(8 + 0 + 1) + w + 0*w - 2*w)*(4*w - 3*w**3 - 4*w**3 + 5*w**3). -26*w**4 + 52*w**2 Expand m**5 + 2*m**5 - 5*m**5 + 2*m**5 + 2*m**5 - 5*m**5 + (2*m + 0 + 0)*(-4*m + 4*m + m**4) + (-m + m - m**2)*(4*m**3 - 3*m**2 + 3*m**2). -5*m**5 Expand -130 - 126*i**4 + 130 + (4*i - 4*i - 2*i**3)*(2 - 2 + i) - i**4 + 3 - 3. -129*i**4 Expand (2*g - g + 0*g)*(2 - 2 - 2) + (-2*g - 2*g + 3*g)*(-2 + 0 + 3) + g - g + 3*g - 6*g + 4*g + g. -g Expand (-271*m**2 + 271*m**2 - 17*m**3)*(15*m + 3*m - 5*m). -221*m**4 Expand (-3 + 3*z + 3 + (0 - 1 - 1)*(13 - 4*z - 13))*(-3*z + 3*z + 2*z**2). 22*z**3 Expand (2*c**4 + c**5 + 3*c**5 - 2*c**5)*(-193 - 344 - 770 - 127). -2868*c**5 - 2868*c**4 Expand (-4 + 3 - 1)*(2*t**3 - 3 + 3) + (233*t + 25*t - 53*t)*(t**2 + t - t). 201*t**3 Expand h**5 - h**5 - h**5 + (8*h - 4*h + 0*h)*(1 - 5*h**2 + 3*h**2 + 3*h**2)*(6*h**2 - 2*h**2 + 0*h**2). 15*h**5 + 16*h**3 Expand f - 4 + 4 - 2 - f + 2 + (1 - 4 + 1)*(-3*f + 2*f - f) + 2*f + 4 - 4 - f - f + 4*f + 39740 + 1277*f - 39740. 1285*f Expand (-2*m + 0*m + 0*m)*(-1 + 576*m - 999*m - 1 - 3). 846*m**2 + 10*m Expand (-15 + 23 - 7)*(-j**2 + j**2 + j**2)*(j - 4*j + 2*j)*(-2 - 2 + 2). 2*j**3 Expand (-9*k**2 + 9*k**2 - 10*k**2)*(6 - 10 - k - 5 + (4*k - 2*k - k)*(1 + 0 - 2)). 20*k**3 + 90*k**2 Expand (-13 + 10 + 4)*(4 - 4 - 4*k)*(0 + 1 - 3)*(-4 + 1 + 4). 8*k Expand (-130 + 46 + 555)*(-3 + 3 + 3*g). 1413*g Expand (-t - t + t)*(-5*t + 2*t + 2*t) - 727 - 2*t**2 - 485 - 367. -t**2 - 1579 Expand (-4 + 7 - 4)*(-4*g**2 - 3*g**2 + 5*g**2) - 2*g + 2*g - 3*g**2 + (-2 + 3 + 0)*(12*g**2 + 2*g**2 + 26*g**2). 39*g**2 Expand (0 - 3 + 1)*(-4 + 0 + 5)*(-19*a**3 + 19*a**3 - 9*a**4). 18*a**4 Expand (r**3 - r**3 + 2*r**4)*(20*r + 13*r - 7*r) + 0*r**5 - 2*r**5 + r**5 + 3*r. 51*r**5 + 3*r Expand (-p - p + 0*p)*(-133*p**4 + 268*p**4 - 128*p**4) - 6*p**2 - 6*p**5 + 6*p**2 - 2*p**2. -20*p**5 - 2*p**2 Expand 14*h**2 + 6*h**2 + 2*h**4 - 18*h**2 + (-5*h**4 + 2*h**4 + 4*h**4)*(3 - 2 + 0). 3*h**4 + 2*h**2 Expand (0*k + 8 - 5*k - 4)*((-2 - 1 + 1)*(1 - 6 + 3) - 1 - 3 + 5) + k + 3*k - 2*k. -23*k + 20 Expand (1 + 4 - 2)*(2*z + 2*z**3 - 2*z) - 2*z**3 - z**3 + 5*z**3 + (2*z**3 + z**3 - z**3)*(-35 - 29 + 25). -70*z**3 Expand (0*t**3 + 0*t**3 + 2*t**3)*(2*t**2 - t + 3*t + 0*t) + (5*t**3 - 1 + 1)*(0*t**2 + 0*t**2 - 2*t**2). -6*t**5 + 4*t**4 Expand u + 2 - 2 + (-3 + 1 + 0)*(u + 1 - 1) + 694 + 5*u - 695 - 43*u. -39*u - 1 Expand (2 - 2 + 2)*(3*x - 9 + 9)*(-3 + 3 + 2). 12*x Expand (3*p + 3*p - 5*p)*((-2 - 2 + 2)*(-2*p + p + 0*p) - 6*p + 12*p + 2*p). 10*p**2 Expand (2 + 3 - 3 + 2 + 4 - 4 + (-3 + 1 + 0)*(-2 + 1 - 1) + 2 - 1 - 2 + 2 + 0 + 0)*(0*r**2 + r**2 + 0*r**2)*(-21 - r - 4*r + 6*r). 9*r**3 - 189*r**2 Expand (-2*h + 2*h - 2*h**2)*(0 - 1 + 3) + 66*h**2 + 63*h**2 - 9*h**2. 116*h**2 Expand (-31 + 43*f + 31)*(0 + 6*f + 1 + f). 301*f**2 + 43*f Expand (-2 + 2 - 2*n**3)*(-9*n + 12*n + 10*n) - n**4 + 2*n**4 + n**4 + 7*n. -24*n**4 + 7*n Expand (3 + 1 + 0)*(-8*u**4 + 7*u**4 - 8*u**4). -36*u**4 Expand (-l**3 + l**3 - 2*l**3)*(0 + 0 - 2*l + (2*l + 0*l + l)*(1 + 2 - 4) + 390 + 38*l - 390)*(-1 + 1 + 2*l). -132*l**5 Expand (57*z + 8 + 55*z - 140*z)*(-3*z**4 + 6*z**4 - 4*z**4). 28*z**5 - 8*z**4 Expand 800*u**4 - 2874*u**4 - 356*u**4 + (2*u**2 - 2*u**2 - u**2)*(-2*u**2 + 2*u**2 - 2*u**2). -2428*u**4 Expand (-2 + 4 + 0)*(-2 + 1 + 2)*(-439*f + 886*f - 447*f +
{ "pile_set_name": "DM Mathematics" }
first derivative of 271*a**3 - 209*a**2/2 + 600. Find the second derivative of c(i) wrt i. 1626 Let a = 545 - 541. Let g(d) be the first derivative of 0*d - 15 + a*d**2 - 28/3*d**3. Find the second derivative of g(f) wrt f. -56 Let j(x) be the first derivative of -3421*x**7/7 - x**3 + 27*x**2/2 + 59. What is the third derivative of j(p) wrt p? -410520*p**3 Suppose -14*u = u - 780. What is the second derivative of -70*p + 56*p**4 + u*p + p**5 - 18*p**4 wrt p? 20*p**3 + 456*p**2 Suppose 3*w = 6*w. Suppose -9*h - 7 + 79 = w. What is the first derivative of 15*b - 22 + h*b - 6*b wrt b? 17 Find the third derivative of -18*l**2 + 7*l**2 - 134*l**3 - 81*l**3 + 9*l**2 + 1560 - 54*l**3 wrt l. -1614 Let m(k) be the second derivative of 7/3*k**3 + 1/12*k**4 + 0 - 71*k + 9*k**2. What is the first derivative of m(u) wrt u? 2*u + 14 Let b = 280 + -277. Find the second derivative of -53*i**3 - i**5 - 9*i - 1 + 71*i**3 - 44*i**b wrt i. -20*i**3 - 156*i What is the third derivative of -18*z**2 - 88*z + 3*z**2 + 16*z - 3033*z**3 + 21*z**2 wrt z? -18198 Let c(v) be the first derivative of 3221*v**6/6 - 377*v**3 - 828. Find the third derivative of c(u) wrt u. 193260*u**2 Let s = -53819/2 - -26916. Let x(a) be the first derivative of 0*a + 46/3*a**3 - s*a**2 + 1. What is the second derivative of x(z) wrt z? 92 Let h(l) be the third derivative of 47/3*l**3 + 1/60*l**5 + 35*l + l**2 - 13/24*l**4 + 0. Differentiate h(y) with respect to y. 2*y - 13 Let p(d) = 368*d**3 + 5*d**2 - 5*d + 2526. Let o(n) = -183*n**3 - 2*n**2 + 2*n - 1263. Let u(m) = 15*o(m) + 6*p(m). What is the derivative of u(t) wrt t? -1611*t**2 Find the second derivative of -204*i + 184*i - 75*i**3 + 70*i**3 + 3*i**2 - 33 + 24*i**2 wrt i. -30*i + 54 Let b = -195 - -216. Find the second derivative of -11*c**5 + c - b*c**5 + 1 - 47*c**5 - 11 wrt c. -1580*c**3 Let g be 1/2 + 2/(-4). Suppose -5*v + g*z = 5*z - 70, -3*z + 64 = 5*v. What is the third derivative of 10*n**2 - 6*n**2 - 8*n**2 + v*n**4 - 10*n**2 wrt n? 264*n Suppose -103 + 133 = 6*t. Let i be 22504/48 + 1/6. What is the second derivative of -i*l**4 + 6*l + 469*l**4 - 16*l**t wrt l? -320*l**3 Suppose 3 - 11 = 4*p. Let b(s) = -33*s**3 - 4*s**2 - 8*s - 6. Let k be b(p). What is the derivative of -243 + 6*m**4 + 5*m**4 + k + 0*m**4 wrt m? 44*m**3 Let z(b) be the second derivative of b**5/20 - b**4/12 + b**3/2 + 4*b**2 + 37*b. Let g be z(0). Find the first derivative of -g*x + 41 - 11*x + 7*x wrt x. -12 Let b = -228 - -275. Find the second derivative of 23*w - 68*w**5 + 28*w + b*w wrt w. -1360*w**3 Let w(t) = 2*t + 22. Let r be w(-10). Find the third derivative of r*j**3 + 152*j**4 - 77*j**4 + 23*j**2 + 2*j - 77*j**4 wrt j. -48*j + 12 Let t(h) = 2*h**3 - 9*h**2 + 22*h - 3. Let b be t(5). Find the third derivative of -b*l - 26*l**2 - 74*l**5 + 60*l + 70*l wrt l. -4440*l**2 Let b(c) be the second derivative of 1463*c**5/10 + 8631*c**2/2 - 782*c. What is the first derivative of b(d) wrt d? 8778*d**2 Let f(v) = 117*v + 2115. Let m(y) = -701*y - 12692. Let z(a) = 13*f(a) + 2*m(a). Find the first derivative of z(k) wrt k. 119 What is the second derivative of -205*z - 4 - 7*z**4 + 202*z - 41 + 50*z**4 - 34 wrt z? 516*z**2 Let r(u) be the first derivative of 11/2*u**2 + 62 - 46/3*u**3 - 2*u. Find the second derivative of r(d) wrt d. -92 Let f(o) be the second derivative of -181*o**5/10 + o**4/3 + 12*o**2 + 278*o. What is the third derivative of f(r) wrt r? -2172 Let p(r) be the third derivative of 0*r + 5/2*r**4 + 0*r**5 + 0*r**3 + 19/15*r**6 + 73 + 2*r**2. Find the second derivative of p(c) wrt c. 912*c Let b = -69 - -85. Find the first derivative of b*k + 8*k - 4*k**2 - 46 + 8*k + 7*k - 15*k wrt k. -8*k + 24 Suppose -12*f + 27 = 3. What is the second derivative of 2*u + 8*u**2 - 8*u**f + 10*u**4 - 29*u + 3*u**3 + 2 wrt u? 120*u**2 + 18*u Suppose -4*n + 525 = -n + 3*h, 2*n = -3*h + 351. Find the first derivative of -198 - 49*r + n + 4*r wrt r. -45 Let s(y) be the second derivative of 131*y**5/10 - y**4/6 + 222*y**2 + 8*y + 7. What is the derivative of s(m) wrt m? 786*m**2 - 4*m What is the first derivative of -34*y - 4194 + 46*y - 30*y - 293*y**2 + 63*y**2 wrt y? -460*y - 18 Let j(r) = -3*r - 133. Let s be j(-45). Let c(v) be the first derivative of -8*v**s + 3/2*v**4 + 0*v**3 + 3 + 0*v. Find the second derivative of c(t) wrt t. 36*t Let c = 20 + -18. Let v be ((-3)/c)/(9/(-24)). What is the first derivative of 16*g**v + 0*g**4 - 1234 + 1219 wrt g? 64*g**3 Let h(x) be the second derivative of -9*x**5 - 481*x**4/12 - 7*x - 52. Find the third derivative of h(y) wrt y. -1080 Let n(v) be the first derivative of 307 - 317/2*v**2 - 32/3*v**3 + 0*v. Find the second derivative of n(k) wrt k. -64 Let w be 130/(-7) + 112/196. Let a be 2/w - 328/(-36). What is the second derivative of a*j**3 - 42*j + 8*j**3 + 34*j wrt j? 102*j Let a(b) be the second derivative of -18*b**4 + 4*b**3/3 - 1588*b**2 - 3306*b. What is the derivative of a(h) wrt h? -432*h + 8 Let o = 148 + -146. Let p(c) = -41*c**2 - 4*c - 25. Let d(q) = q**2 - q. Let z(l) = o*d(l) - p(l). Find the second derivative of z(x) wrt x. 86 Suppose q + 5*m - 3 = 0, -7*m = -4*q - 8*m + 12. What is the second derivative of -78*d**3 - 61*d**q + 48*d**3 - 58*d wrt d? -546*d Let g(q) = q**2 + q - 2. Let l be g(3). Suppose 5*s - l = -0. What is the third derivative of w**s - 5*w**2 - 9*w**5 - 4*w**2 wrt w? -540*w**2 Let y(c) = -823*c + 2511. Let n(r) = 10*r - 2. Let d(o) = -9*n(o) - y(o). What is the derivative of d(i) wrt i? 733 Let z(h) be the first derivative of 346*h**5 + h**3/3 - 29*h + 416. Find the third derivative of z(i) wrt i. 41520*i What is the second derivative of 3*n - n + 489*n**5 + 301 - 985*n**5 + 497*n**5 - 67*n**2 - 9 wrt n? 20*n**3 - 134 Let n(j) = -j**2 + 27*j + 4. Let q(b) = b**2 + 27. Let d be q(0). Let c be n(d). Find the second derivative of 70*i - 21*i**c + i**4 - 61*i wrt i. -240*i**2 Let p(v) be the first derivative of 2751*v**5/5 - v**4/2 + 433*v**3/3 + v**2 - 2259. What is the third derivative of p(k) wrt k? 66024*k - 12 Let j(a) = -1609*a**3 + 27*a**2 + 28*a - 16. Let v(n) = 536*n**3 - 9*n**2 - 10*n + 6. Let p(z) = 3*j(z) + 8*v(z). What is the third derivative of p(k) wrt k? -3234 Suppose -5*y - 11 = -4*k, k = -2*y - 0*y + 6. What is the second derivative of -15*a - 179*a**3 + y + 3 + 1 + 77*a**3 wrt a? -612*a Let d(k) = k**2 - 11*k + 14. Let q be d(10). Find the third derivative of -2*t**6 - 3025*t + 1513*t + 16*t**q + 73*t**2 + 1513*t wrt t. -240*t**3 + 384*t Find the third derivative of 25*c**6 - 42*c**2 - 53*c**2 + 29*c**6 - 5 + 331*c**5 - 53*c**6 wrt c. 120*c**3 + 19860*c**2 Let x(q) be the first derivative of 9*q**7 - q**5/5 - 23*q**4/4 - 8264*q**3/3 + 1171. What is the third derivative of x(r) wrt r? 7560*r**3 - 24*r - 138 Suppose -14 = 5*a - 34. Find the first derivative of -2*h**a + 95*h - 137*h - 3 - 2 - 111 wrt h. -8*h**3 - 42 What is the third derivative of 47728 - 47728 - 1579*w**3 + 669*w**2 wrt w? -9474 Let g(r) be the first derivative of -37 + 2*r**3 + r**2 - 3*r + 1/4*r**4. What is the second derivative of g(t) wrt t? 6*t + 12 Let y(t) be the first derivative of 0*t**4 + 0*t**6 + 0*t**5 + 118/7*t**7 + 0*t - 46 + 24*t**2 + 2/3*t**3. What is the third derivative of y(v) wrt v? 14160*v**3 What is the third derivative of -i**5 + 347*i**5 - 73606 + 73607 - 786*i**2 - i wrt i? 20760*i**2 Suppose -5*k + 13 = -2*a - 12, 4*k - 20 = 2*a. Suppose 2*u + k*d = 3*d + 14, -5*d = -15. Differentiate -5 - 9*g**u - 7 + 41*g**4 - 2 with respect to g. 128*g**3 Let b(y) be the first derivative of -21/2*y**2 + 8/3*y**3 + 2*y - 1/4*y**4 - 63. What is the second derivative of b(q) wrt q? -6*q + 16 Suppose -14*z - 4 = -15*z. Find the third derivative of 15*a**2 + 2030*a**3 - 2*a - 2030*a**3 - 77*a**5 + z*a**5 wrt a. -4380*a**2 Let p(c) = -5448*c**3 - 39*c**2 + 7*c - 2. Let v(h) = -2*h**3 - 10*h**2 + 1. Let t(w) = -p(w) + 4*v(w). What is the third derivative of t(d) wrt d? 32640 Suppose -5*s + 5 = 5*o, -4*s + 25 = 3*o - 6*o. Find the third derivative of 1072*z - 2*z**5 - 1073*z - 2*z**2 + z**2 - 2*z**s wrt z. -120*z**2 - 48*z Let q(i) be the second derivative of 61/20*i**5 + 0*i**4 - 36*i**2 + 0 + 0*i**3 + 16*i. Differentiate q(f) wrt f. 183*f**2 What is the second derivative of 223612*u**4 - 22
{ "pile_set_name": "DM Mathematics" }
ppose -4*k + 5 = -5*k - l, 0 = -5*k + 3*l + 15. Suppose -2*s - 2*z = z - 19, 2*s + z - 9 = k. Suppose 30 = s*j + 3*j. List the prime factors of j. 2, 3 Suppose 0 = -3*q - 0*q + 48. What are the prime factors of q? 2 Let t = 78 - -153. What are the prime factors of t? 3, 7, 11 Suppose -118 - 66 = -2*y + 2*l, -440 = -5*y + l. Suppose -3*k + y = -2*k. Suppose k - 12 = 5*p. List the prime factors of p. 3, 5 What are the prime factors of 296/6 + 18/27? 2, 5 Let i = 22 - 15. What are the prime factors of 21/i*(-28)/(-6)? 2, 7 Let t(m) = 11*m**2 + 10*m + 5. Let z be t(-5). Suppose -6*w + z = -28. List the prime factors of w. 43 Suppose 0 = v - s - 3*s - 19, 9 = 3*v + 4*s. List the prime factors of v. 7 Let m = 8 - 9. Let c = 14 - m. What are the prime factors of c? 3, 5 Suppose 0 = -3*v + 4*m + 85, -m = 3*v - 3*m - 95. List the prime factors of v. 5, 7 Let n(u) = 3*u**3 - 3*u**2 + u - 2. Let m be n(2). Suppose -2*h + m = 2*h. Suppose 5 + h = 2*z. List the prime factors of z. 2 Let x = 402 - 70. What are the prime factors of x? 2, 83 Let k = -94 + 100. What are the prime factors of k? 2, 3 Let r be (-2)/4*(2 - -2). Let j be (11 - 0) + (-4)/r. Suppose 0 = -0*u - u + j. What are the prime factors of u? 13 Suppose 34 = -5*f + 14. Let z(s) = -2*s + 2. Let w be z(4). List the prime factors of -1*(-2)/(f/w). 3 Suppose j + 4*j = -w + 166, j = -4*w + 18. What are the prime factors of j? 2, 17 Let c be (-78)/4*8/6. Let o = 17 + c. Let r = -5 - o. What are the prime factors of r? 2 Let d be 2/(-3) + 12/18. Suppose -2*o - 12 + 52 = d. What are the prime factors of o? 2, 5 Suppose 20 = 3*m - 4*c, 0 = -5*m + c + 4*c + 25. Suppose -4*x + 2*i = -18, 4*x + 0*x + i - 3 = m. List the prime factors of x. 2 Let o(p) = -p**2 - 9*p + 4. List the prime factors of o(-8). 2, 3 Suppose -7*i + 4*y = -2*i - 3, 4*i + 5*y - 27 = 0. Suppose 4*x + i*r = 6*r + 136, 2*r = -x + 34. List the prime factors of x. 2, 17 Let g = -80 + 114. List the prime factors of g. 2, 17 What are the prime factors of (155/2)/(6/24) + -2? 2, 7, 11 Let m = 24 - 11. Suppose 4*c - 16 = 3*j, -c - 2*j + 5 = 12. Suppose p - m = -c. What are the prime factors of p? 2, 3 Let c(b) = -b**2 + 3. Let p be c(0). Suppose 5*d - 204 = 5*m - p*m, -3*d = 2*m - 132. Suppose 2*k + 0*k = d. What are the prime factors of k? 3, 7 Let d(l) = l + 5. Let r be d(-7). Let v = r - -5. What are the prime factors of v? 3 Suppose -4*o + 40 = -8*o. List the prime factors of 201/15 - (-4)/o. 13 Suppose 0 = 4*f + g - 105, -7*f = -4*f - 5*g - 50. Suppose -f = -4*l - l. Suppose -l*d + 0*d = -35. What are the prime factors of d? 7 Let o(h) = -h - 4. Suppose -g + 0*g = 5. Let w be o(g). List the prime factors of 9 - (w - (-3 - -2)). 7 Let t = 17 - 7. Suppose -u - 6 = -2*y, 3*y + 5*u - 12 = t. List the prime factors of y + 1/(-2)*0. 2 Let d(y) = 4 + 2*y + y - 1 - 6*y + y**2. List the prime factors of d(5). 13 Suppose 3*a - 136 = -a. What are the prime factors of a? 2, 17 Suppose -y + 8 = -3*o - 20, -220 = -5*y - 5*o. What are the prime factors of y? 2, 5 Suppose 96 - 176 = -4*k. What are the prime factors of k? 2, 5 Suppose 5*y = -6*y + 2618. List the prime factors of y. 2, 7, 17 Suppose 5*b - 218 = -2*m, -7*m + 3*m + 16 = 0. What are the prime factors of b? 2, 3, 7 Suppose 0 = 5*u + 25, -3*i = u + 40 + 31. Suppose 0 = -15*a + 20*a + 70. Let o = a - i. List the prime factors of o. 2 Let a be -1 + 1 - (7 - -2). Let j = 2 - a. List the prime factors of j. 11 Let d be -2 + (5 - (-1 + 2)). Suppose -d*u = -u. List the prime factors of u + 1 + 1 + 0. 2 Suppose 5*v + 136 = 2*n, -n + 2*v + 66 = -0*v. Let p = n + -16. Suppose k + 29 = 5*d - p, k - 69 = -5*d. What are the prime factors of d? 2, 7 Let i = 3 + 0. Let r = i - -8. Suppose -r = 4*q - 31. What are the prime factors of q? 5 Suppose -5*x = -40 + 10. Suppose -6*d + 3*d = -x. What are the prime factors of d? 2 Suppose 3*a - k - 160 = 0, 4*a - 4*k = 3*a + 35. Let r = -18 - -23. Suppose r*l = 15 + a. List the prime factors of l. 2, 7 What are the prime factors of (-8)/12 + 150/9? 2 Let x(w) = -27*w. List the prime factors of x(-1). 3 Let g(v) = 3*v**2 + 2. Let n be g(-3). Suppose n = -4*i + 109. What are the prime factors of i? 2, 5 Let y(n) = -n**3 + 6*n**2 - 6*n + 4. Let m = 7 - 18. Let g = 15 + m. What are the prime factors of y(g)? 2, 3 Suppose z + 0 + 1 = 0. List the prime factors of (0 + z - 1) + 6. 2 Suppose 0 = -3*a - n + 7, -2*n = -3*a + 3 + 1. Suppose 2*z + b - 3*b = 32, -a*z - 3*b = -12. What are the prime factors of z? 2, 3 Let q(g) = 2*g**2 + 5*g + 2. Let z be q(-3). Suppose -o + 64 = -5*x, 2*o - z*x - 181 = -2*o. Let c = -28 + o. What are the prime factors of c? 11 Suppose -3*u + 2*u = -108. List the prime factors of u. 2, 3 Let u(v) = v**2 - 8*v - 11. List the prime factors of u(10). 3 Suppose -t = -4*q + 3*t + 20, 3*q = -2*t + 10. Suppose -q + 5 = -b, 2*b = -3*w - 38. List the prime factors of w/5*(-30)/9. 2 What are the prime factors of ((-8)/20)/1 + 714/10? 71 Suppose 4*i = 5*u - 2, -3*i + 2 = -4. Suppose b - 73 = -3*c, 7*b = -4*c + u*b + 90. What are the prime factors of c? 5 Let p(n) = 2*n + 14 - 3*n - 7. Suppose -4*x = -9*x. What are the prime factors of p(x)? 7 Let l = -4 + 6. Let i be (-1)/2*(l - 20). Suppose -4*x - 1 = -3*k, 3*k + 4*x - 8 = i. List the prime factors of k. 3 Let t(f) = -f**3 - 3*f**2 + f + 3. Let w be t(-3). Let v(h) = -h + h**3 - 4*h**2 + w*h - 5 + 4 - 3*h. List the prime factors of v(5). 2 Suppose 4*d + 0*d = 2*a + 18, 17 = -4*d - 5*a. Suppose i + 3*v = 9, -7*v = -d*v. List the prime factors of i. 3 List the prime factors of 4/(-2)*18/(-4). 3 Suppose 0*w - 4*j = 2*w - 24, -5*w + j + 49 = 0. Let h = w + -6. Suppose -h*c + 4*m + 64 = 0, 3*m = 4*c + m - 70. List the prime factors of c. 19 Suppose 3*c = k + 283, 3*c - 295 = -0*k + 4*k. What are the prime factors of c? 3, 31 Suppose 708 = o + 4*o - d, 5*d + 700 = 5*o. Suppose -5*n = -2*w - w - 238, -w - o = -3*n. List the prime factors of n. 47 Let k be ((-4)/6)/(4/66). Let y = k + 17. List the prime factors of y. 2, 3 Suppose -3*a = 7*a - 2500. List the prime factors of a. 2, 5 Let b be (-3)/3 + 25*2. Suppose -5*s = -w + b, 0*s + 43 = 2*w + s. What are the prime factors of w? 2, 3 Let q = -4 + 7. List the prime factors of q. 3 Let d(f) be the second derivative of -5*f**3/6 - 3*f**2/2 - 2*f. List the prime factors of d(-2). 7 Let p = 8 + -7. Let t = 9 - p. What are the prime factors of t? 2 Let q = -21 + 23. Suppose 28 = -t + q*t. List the prime factors of t. 2, 7 Let b(o) = -5*o + 2 + 6*o + 0*o. List the prime factors of b(12). 2, 7 Suppose -5*b = -0*b - 100. What are the prime factors of b? 2, 5 Let l = -97 + 174. List the prime factors of l. 7, 11 Let k be (14/(-35))/((-2)/20). Suppose a + 12 = k*a. Suppose -4*c = r - 30, -2 - a = -2*c + 4*r. List the prime factors of c. 7 Suppose -91 = -h - 3*q, 2*q = -0*h + h - 101. What are the prime factors of h? 97 Let w be -1 + ((-48)/3)/(-2). Let k = -5 + w. Suppose -k = -0*c + 2*c, -5*c = r - 14. What are the prime factors of r? 19 Let p = -8 - 25. Let r = -14 - p. List the prime factors of r. 19 Suppose -c + 12 = -2*a + 3*c, 0 = -3*a - 4*c + 12. Suppose a = -3*r + r + 20. List the prime factors of r. 2, 5 Suppose -u - 3*u = -88. List the prime factors of u. 2, 11 Let x = -261 + 471. List the prime factors of x. 2, 3, 5, 7 Suppose -6 = -3*m + 333. What are the prime factors of m? 113 Let k(i) = 72 + 28*i**3 + i**2 - i - 72. List the prime factors of k(1). 2, 7 Let s be (-4)/6 + 39/(-9). Let q = s + 8. List the prime factors of 20/q - (-1)/3. 7 Suppose -5 = -4*p + 5*f, -7 - 15 = -5*p + f. Suppose p - 2 = k. What are the prime factors of k? 3 Let s(b) = -b**2 + 9. Let f = -1 - -1. List the prime factors of s(f). 3 Let x = 51 - 19. List the prime factors of x. 2 Suppose 15*s - 302 - 4033 = 0. What are the prime factors of s? 17 Suppose 856 = 4*k + 244. List the prime factors of k. 3, 17 Let i = 195 - 97. What are the prime factors of 176/7 - 14/i? 5 Let x be 1/6*16*3. Suppose 2*g = 4*g - x. List the prime factors of g. 2 Suppose 77 = 3*m + 26. What are the prime factors of m? 17 Suppose -13*f + 673 = -770. What are the prime factors of f? 3, 37 Let i = 22 + -16. Suppose 3*x = x + i. What are the prime factors of x? 3 Let g(c) = 4*c**2 - 4*c. Let v = 8 + -1. Let z(i)
{ "pile_set_name": "DM Mathematics" }
1, 2637? 2815 What is next in -975, -3897, -8769, -15591, -24363, -35085? -47757 What comes next: -98, -174, -250, -326? -402 What comes next: 13, 32, 51? 70 What is the next term in -5, 15, 65, 145? 255 What is next in -182, -217, -274, -353, -454, -577? -722 What is the next term in -441, -1724, -3853, -6822, -10625, -15256? -20709 What comes next: 48, 89, 130, 171, 212? 253 What is the next term in -121, -497, -1123, -1999, -3125, -4501? -6127 What is the next term in -1257, -2522, -3787? -5052 What is the next term in 19, 23, 29, 37, 47, 59? 73 What comes next: 393, 391, 389, 387? 385 What is next in -2849, -2860, -2883, -2924, -2989, -3084? -3215 What is next in -17, -8, 9, 34, 67, 108, 157? 214 What is next in -56, -254, -574, -1010, -1556, -2206? -2954 What is next in 164, 316, 456, 578, 676, 744, 776? 766 What is next in 1717, 1718, 1719, 1720, 1721, 1722? 1723 What is the next term in -472, -946, -1410, -1858, -2284? -2682 What is next in 7, 21, 43, 73, 111? 157 What is the next term in -5, 32, 55, 58, 35, -20, -113, -250? -437 What comes next: -257, -249, -239, -227, -213, -197? -179 What is the next term in -217, -433, -649, -865? -1081 What is the next term in 103, 138, 169, 190, 195, 178? 133 What comes next: 35, 75, 115? 155 What comes next: -135, -172, -221, -288, -379, -500, -657, -856? -1103 What is next in 326, 328, 330, 332? 334 What comes next: -6, -37, -88, -159? -250 What is next in -880, -3510, -7886, -14002, -21852, -31430? -42730 What comes next: -61, -594, -2031, -4822, -9417, -16266? -25819 What is the next term in -1122, -2252, -3384, -4518? -5654 What is the next term in 5422, 5425, 5430, 5437, 5446, 5457, 5470? 5485 What comes next: -18, -28, -38, -48? -58 What is next in -60, -61, -62? -63 What is the next term in -176, -347, -516, -683? -848 What is the next term in -445, -1810, -4085, -7270, -11365, -16370, -22285? -29110 What is the next term in 1128, 1115, 1084, 1029, 944, 823? 660 What is next in 1939, 7759, 17457, 31033? 48487 What is next in 172, 167, 158, 145, 128? 107 What is the next term in -240, -487, -734, -981, -1228? -1475 What comes next: 64, 59, 54, 49? 44 What is next in 9, 14, 19, 24, 29, 34? 39 What is the next term in 2, -10, -22? -34 What is the next term in 499, 496, 491, 484? 475 What comes next: 224, 916, 2076, 3710, 5824, 8424, 11516, 15106? 19200 What comes next: 261, 256, 249, 240, 229, 216, 201? 184 What comes next: 98, 149, 200, 251? 302 What is next in 234, 417, 600, 783, 966? 1149 What comes next: -10, 10, 56, 140, 274, 470? 740 What is the next term in 7, 34, 109, 256, 499, 862, 1369? 2044 What is next in 24, 38, 70, 126, 212, 334, 498? 710 What is next in 279, 288, 289, 276, 243? 184 What is the next term in 328, 343, 374, 427, 508, 623? 778 What comes next: -79, -155, -231, -307? -383 What is the next term in -985, -1968, -2951, -3934, -4917? -5900 What is the next term in 262, 516, 770? 1024 What comes next: 36, -3, -42, -81, -120, -159? -198 What is next in 14, -12, -40, -70, -102, -136, -172? -210 What is the next term in -37, -75, -117, -163, -213? -267 What is the next term in 248, 301, 354? 407 What comes next: -24286, -24285, -24284, -24283? -24282 What comes next: -417, -354, -255, -126, 27, 198, 381, 570? 759 What is next in -3, -3, -5, -9? -15 What is the next term in 39650, 39651, 39652, 39653? 39654 What comes next: -14, 37, 122, 241, 394, 581? 802 What is the next term in -3, 15, 25, 27, 21? 7 What is the next term in 68, 118, 142, 134, 88, -2, -142? -338 What is the next term in 1511, 1512, 1513? 1514 What comes next: 0, -13, -52, -129, -256, -445? -708 What is the next term in 46, 22, -18, -74, -146, -234? -338 What is next in 9, 31, 53? 75 What comes next: 93, 82, 63, 36, 1? -42 What is next in -585, -1169, -1753? -2337 What is the next term in 202, 264, 342, 442, 570, 732, 934, 1182? 1482 What is the next term in 165, 336, 503, 666, 825, 980, 1131? 1278 What comes next: 8, 113, 318, 629, 1052, 1593, 2258? 3053 What comes next: -1367, -1365, -1363, -1361? -1359 What is next in -193, -396, -599, -802, -1005? -1208 What is the next term in 0, -14, -46, -102, -188, -310, -474? -686 What comes next: -206, -207, -208, -209, -210, -211? -212 What is the next term in 28, 35, 50, 73, 104? 143 What is next in 6, 20, 48, 96, 170, 276, 420, 608? 846 What comes next: 1679, 1683, 1689, 1697, 1707, 1719? 1733 What comes next: 96, 103, 110, 117, 124? 131 What is next in -39, -34, -37, -54, -91, -154? -249 What comes next: 6, 18, 36, 60? 90 What comes next: -138, -178, -280, -474, -790, -1258? -1908 What is the next term in -245, -377, -495, -593, -665, -705, -707? -665 What is next in -13, -11, 3, 35, 91? 177 What comes next: 2789, 2784, 2775, 2762, 2745, 2724? 2699 What is the next term in 29, 28, 39, 68, 121, 204? 323 What is next in -417, -834, -1255, -1680, -2109? -2542 What is the next term in -18, -16, -12, -6, 2, 12? 24 What is next in -4, -6, -2, 14, 48, 106? 194 What is next in 87, 129, 171, 213, 255? 297 What is the next term in 100, 102, 106, 112, 120? 130 What is the next term in -52, -100, -138, -160, -160, -132? -70 What comes next: -1240, -1236, -1222, -1192, -1140, -1060, -946? -792 What is next in -124, -115, -106, -97, -88, -79? -70 What comes next: 6, 38, 88, 150, 218, 286, 348? 398 What comes next: 1, 4, 9, 16, 25? 36 What is next in 645, 641, 633, 621, 605, 585, 561? 533 What is the next term in 774, 768, 750, 714, 654, 564? 438 What is the next term in -6120, -6119, -6118, -6117, -6116? -6115 What comes next: 168, 163, 154, 141, 124? 103 What is the next term in -602, -598, -594? -590 What is next in -10, 9, 26, 41? 54 What comes next: 1, 6, 15, 28, 45? 66 What is next in 5, 16, 31, 50, 73, 100, 131? 166 What is the next term in 358, 363, 368, 373, 378? 383 What is next in -132, -260, -388, -516? -644 What is next in -41, -77, -113, -149, -185? -221 What is next in 154, 313, 474, 637? 802 What comes next: 22, 33, 42, 43, 30? -3 What comes next: -94, -187, -280, -373, -466? -559 What comes next: 1169, 2336, 3503, 4670, 5837, 7004? 8171 What is the next term in -156, -311, -466, -621, -776, -931? -1086 What is the next term in -52, -36, -20, -4, 12? 28 What comes next: -1062, -2124, -3176, -4212, -5226, -6212, -7164, -8076? -8942 What comes next: 100, 110, 120? 130 What is next in -78, -153, -230, -309, -390, -473? -558 What is the next term in 12, 23, 38, 57, 80, 107? 138 What is the next term in -1067, -4252, -9561, -16994, -26551, -38232? -52037 What comes next: 5478, 5477, 5476, 5475? 5474 What is next in -1706, -3415, -5124, -6833, -8542, -10251? -11960 What comes next: 22, 23, 10, -23, -82, -173? -302 What is next in 2579, 5156, 7735, 10316, 12899, 15484? 18071 What is next in 74, 113, 156, 203, 254, 309, 368? 431 What is next in -349, -673, -997? -1321 What is next in 6, 19, 32, 45? 58 What is the next term in -50, -51, -56, -65, -78, -95, -116? -141 What comes next: -41, -62, -83, -104, -125, -146? -167 What is the next term in 25, 77, 213, 475, 905, 1545? 2437 What is the next term in -10, -19, -28, -37, -46? -55 What is next in 176, 331, 500, 689, 904, 1151? 1436 What is the next term in -7, -13, -21, -25, -19? 3 What is next in 91, 125, 219, 403, 707, 1161, 1795, 2639? 3723 What is the next term in 581, 586, 589, 590, 589, 586? 581 What is the next term in -1027, -1025, -1023? -1021 What is next in 11, 16, 29, 56, 103? 176 What is the next term in 86, 111, 182, 323, 558, 911, 1406, 2067? 2918 What comes next: 1135, 1137, 1141, 1147, 1155, 1165? 1177 What is the next term in 10, -43, -200, -515, -1042, -1835, -2948? -4435 What is next in -764, -743, -724, -707? -692 What is the next term in 585, 1208, 1829, 2448? 3065 What is the next term in 312, 223, 136, 51, -32, -113? -192 What is the next term in 74, 192, 390, 668, 1026, 1464, 1982? 2580 What comes next: 7, 18, 49, 112, 219? 382 What is next in -27, -61, -95, -129, -163, -197? -231 What comes next: 9099, 18197, 27295? 36393 What comes next: -21, -12, 15, 72, 171, 324, 543, 840? 1227 What is next in 30, 175, 562, 1311, 2542, 4375? 6930 What is the next term in 2, -58, -222, -544, -1078, -1878, -2998? -4492 What comes next: -55, -57, -59, -61? -63 What is next in -384, -376, -354, -312, -24
{ "pile_set_name": "DM Mathematics" }
y to four decimal places. 0 Let o = -0.41 + -949.09. Round o to the nearest ten. -950 Suppose 15*x = 61*x - 158884000. What is x rounded to the nearest one million? 3000000 Let l = 0.046 + 11.954. Let p = l + -11.9999916. Round p to six decimal places. 0.000008 Let z = -0.282 + 0.219. What is z rounded to 2 dps? -0.06 Let t = 128458500 + -71178500. What is t rounded to the nearest 1000000? 57000000 Let z = -49319333.7 - -49321812.68849. Let o = -2502.988 + z. Let w = 24 + o. Round w to 4 decimal places. 0.0005 Suppose -551035 + 34835 = -2*n. What is n rounded to the nearest 10000? 260000 Let h = 633 + -1077. Let s = 592951.670191 - 593395.67. Let n = h - s. Round n to 5 dps. -0.00019 Let r be 1/(2 - 1) - 2053. Let m = 1117 + r. Let s = 235 - m. Round s to the nearest 100. 1200 Let m = 0.1485548 + -0.149. What is m rounded to five dps? -0.00045 Let n = -0.160301811 - -0.1603. What is n rounded to seven dps? -0.0000018 Let x = 1.415 - -5.613. Let k = -7.2 + x. Let n = -0.172073 - k. What is n rounded to 5 dps? -0.00007 Let l(k) = -896249*k**2 - 16. Let g be l(-4). Round g to the nearest 1000000. -14000000 Let h be -1 - (-4 - (-2 + 1)). Suppose j = 4*g + 6822, h*j + 2*j + 5*g = 27225. Round j to the nearest 1000. 7000 Let c be (5/(-5))/(5/10). Let a be (c + 802)*(-205 + -2 + -3). Round a to the nearest ten thousand. -170000 Let i = -28.6 - -28.852. Round i to 2 dps. 0.25 Let z = 222.0528 + -222. Round z to two dps. 0.05 Let k be (3 - -9315 - -2)*(2 + -2502). What is k rounded to the nearest one million? -23000000 Let p = 280446.82963 + -280448. Let l = p - -1.165. Round l to 3 dps. -0.005 Suppose -2*g = 8, 4*h + 8 = -5*g + g. Suppose h*b - 5*o = 35599980, -3*o + 2*o - 53399996 = -3*b. Round b to the nearest 1000000. 18000000 Let n be 2/2*-1 + 1496. Let r be 1*14/(-35) + 4277/5. Let j = r - n. What is j rounded to the nearest one hundred? -600 Let m = 14.66701 + -30.667. Let f = 16 + m. Round f to 5 decimal places. 0.00001 Let s = 3.3 - 3.53. Let u = s + 0.2299832. Round u to six decimal places. -0.000017 Let u = 7.1 + -5.1. Let v = 728644 + -728642.000015. Let r = v - u. What is r rounded to six decimal places? -0.000015 Let y = 0.001 - -0.209. Let t = 0.0435123 + -0.2535195. Let o = y + t. What is o rounded to 6 dps? -0.000007 Let a = 0.54 + -0.77. Let h = -0.34 - a. Let p = h + 0.05. Round p to one decimal place. -0.1 Let t = -11.8 + 58.8. Let c = -32.60401105 + -14.395987. Let o = c + t. Round o to 7 decimal places. 0.000002 Let l = 12 - 10. Suppose 5 + 1 = l*f. Let u be -3 - (7495 + 6/f). Round u to the nearest one thousand. -8000 Let w = 9.12 + -1.12. Let t = -183479 + 183486.99955. Let s = t - w. Round s to four decimal places. -0.0005 Let u = -64 - -63.999554. Round u to four dps. -0.0004 Let c be -39*(-2 - (-296)/(-12)). Let r be (c/(-12))/(3/(-45)). What is r rounded to the nearest one thousand? 1000 Let x = -2092 - -2066.38. Round x to the nearest integer. -26 Let p = 0.0255 + -0.037406. Round p to 3 dps. -0.012 Let b = -18 + 17.91. Let h = b - -0.0899964. Round h to six decimal places. -0.000004 Suppose 5*z + 73592 = -35458. What is z rounded to the nearest one thousand? -22000 Suppose 0 = -2*d + 6750155 + 7849845. Round d to the nearest one million. 7000000 Let w = 128.3272 + -128.19535032. Let i = 57.86958032 + w. Let o = i + -58. What is o rounded to 4 dps? 0.0014 Let o = 427 + -430.71. Let x = -3.9 - o. Let g = 0.216 + x. Round g to two dps. 0.03 Let t = 0.022 + 0.158. Let b = t + -0.18012. What is b rounded to five decimal places? -0.00012 Let d = -2249475161 + 3451898197. Let r = -1202422980.00000108 + d. Let t = 56 - r. What is t rounded to 7 dps? 0.0000011 Let t = -406819399 + 406819405.99999876. Let x = t + -7. What is x rounded to 7 dps? -0.0000012 Let m = -10343 - -10342.961704. Let y = m - -0.038. Round y to four decimal places. -0.0003 Let j = -155942380 + 155902186.7987. Let c = 40191 + j. Let q = -2.2 - c. Round q to 3 dps. 0.001 Let x = -1.15 + -6.75. Let l = x - 42.1. Let a = 50.00000134 + l. What is a rounded to seven decimal places? 0.0000013 Suppose -8*s + 3071640 = -0*s. Let h = s - 52955. Round h to the nearest 10000. 330000 Let i be (-127)/(-2) + 1/(-2). Let a = i - 154. Round a to the nearest 10. -90 Let x = 27506739316.99999909 + -27506739148. Let s = -169 + x. What is s rounded to 7 dps? -0.0000009 Let x be (1 - 106/6)*(53 + 7). Round x to the nearest 10. -1000 Let t be ((-6)/(-4))/((-7)/(-14)). Suppose 0 = t*b - 15 - 0. Suppose c - 770005 = b*j, j = 5*c + 4*j - 3849997. Round c to the nearest 100000. 800000 Let k = -11.1495 + -0.1105. Let s = -1.6 + 12.6. Let y = s + k. What is y rounded to 1 dp? -0.3 Let t = 0.6 + -0.4. Let x = t + -0.9. What is x rounded to zero dps? -1 Let x = -145 + 144.99999339. What is x rounded to 7 dps? -0.0000066 Let f = 8.015 - 0.015. Let t = 8.775 + -0.7. Let k = f - t. Round k to two dps. -0.08 Let m = -6.4 + 6.399999785. Round m to seven dps. -0.0000002 Suppose 4*o - 2*g = -28331994, 17*g - 22*g = o + 7083015. What is o rounded to the nearest 100000? -7100000 Let k = 161.2 - 197. Let v = -0.2 + k. Let s = v + 36.00000016. Round s to 7 dps. 0.0000002 Let t = 1580.5 - 1351. What is t rounded to the nearest 10? 230 Let k = -0.2345 - -0.234501157. Round k to seven dps. 0.0000012 Let q(s) = 1492001*s**3 - s**2 - s. Let j be (-6)/15 - (-6)/(-10). Let v be q(j). Let i = 2142001 + v. What is i rounded to the nearest 100000? 700000 Let i = 0.3776 + -0.35971. What is i rounded to three dps? 0.018 Suppose 2*r = 6, -5*r + 20 = p - 0*p. Suppose -2*y - w + 5 = -0*w, -p*y + 15 = 5*w. Let k be (-7199984)/(-24) + y/3. What is k rounded to the nearest 1000000? 0 Let r = -34.19 + -0.81. Let y = -358.7 - -325. Let i = y - r. What is i rounded to the nearest integer? 1 Let u = 2.97 - 2.969998431. What is u rounded to 7 dps? 0.0000016 Let d = 6.1 + -4.01. Let w = 13.01 + d. Round w to the nearest integer. 15 Suppose 4*u = -0*u. Suppose -2*d + 1197450 = -u*d. Suppose -4*x + 3479996 = 4*q, -q + d + 271277 = -2*x. What is q rounded to the nearest 100000? 900000 Let w = -0.01902 + 0.0193911. Round w to five decimal places. 0.00037 Let f be (-42283269)/(-92) - (1 + 1/(-4)). What is f rounded to the nearest 100000? 500000 Suppose 5*i = 9*i - 2938100. Let g(s) = -1034524*s + 1. Let z be g(-1). Let w = i - z. What is w rounded to the nearest one hundred thousand? -300000 Let h(m) = 8*m**3 + 8*m**2 + 11*m + 6. Let p(y) = 9*y**3 + 8*y**2 + 12*y + 6. Let g(z) = -5*h(z) + 4*p(z). Let k be g(6). Round k to the nearest 1000. -1000 Suppose 2*u - 4 = -0. Suppose 4*m - 359992 = -s + u*m, 3*m = -12. What is s rounded to the nearest one hundred thousand? 400000 Let p = 41.2 + 843.2. What is p rounded to the nearest one hundred? 900 Suppose -2*d + u - 1268 = 0, -8*d = -12*d - 5*u - 2550. Round d to the nearest one hundred. -600 Let u = -0.2 + 15.2. Let n = 11.8 - u. Let s = -3.19999987 - n. Round s to seven dps. 0.0000001 Let u = -5499 - -5503.802. What is u rounded to one decimal place? 4.8 Let u = 617.165 + -616. What is u rounded to 2 dps? 1.17 Let d = 45.7 - 45.67669. What is d rounded to 2 decimal places? 0.02 Let k = -6981.9280005 - -6991.228. Let z = k - 9.3. Round z to six dps. -0.000001 Let k(f) = -2*f**2 - 8*f - 5. Let z be k(-8). Let x = -41 - z. Round x to the nearest 10. 30 Let d = -100063021.9 - -100062880.9966759. Let i = d - -216.9033184. Let l = 76 - i. Round l to six decimal places. 0.000006 Let g = -29790 + 29789.9920362. Let u = g + 0.008. What is u rounded to five dps? 0.00004 Let u = -4.3 - 2.2. Let x = 8 + u. Let p = -1.552 + x. Round p to 2 decimal places. -0.05 Let y = -322 + 256.5. Let u = y - -2.5. Let t = 63.29 + u. Round t to 1 decimal place. 0.3 Let x(d) be the third derivative of 1327*d**5/60 + d**4/3 - 2*d**3 + 10*d**2. Let q be x(10). Let f = q + -69768. Round f to the nearest ten thousand. 60000 Let o = 78.8037 - 79.76. Round o to 1 decimal place. -1 Let p = -1180 - -2938. What is p rounded to the nearest 100? 1800 Let g = 48 + -60.5. Let w = 15 - 27. Let y = w - g. Round y to 1 decimal place. 0.5 Let x(i) = -225787*i - 1195. Let t be x(15). What is t rounded to the nearest 100000? -3400000 Let u = -677.00001511 + 677. Round u to 6 decimal places. -0.000015 Let i = -3474 - -5952. L
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
*3 - 821 - 130 + 175 wrt y? 12*y**2 + 212*y Let f be (0 + 1)/(9/657) - 4. What is the first derivative of 8*o - o - 9*o**3 - f - 2*o + 2*o wrt o? -27*o**2 + 7 Let w(p) be the third derivative of -p**7/210 + 737*p**6/60 - p**5/15 + 17*p**4/24 + 2*p**3/3 + p**2 - 429. Find the third derivative of w(l) wrt l. -24*l + 8844 Let y(a) be the third derivative of 433*a**7/42 - 475*a**3/3 + 175*a**2 - a. Find the first derivative of y(h) wrt h. 8660*h**3 Let m = -51 - -51. Suppose m = -2*s + 3*w + 12, 3*w + w + 12 = 2*s. What is the third derivative of -6*j**3 - s*j**3 - 13*j**3 - 3*j**2 - 6*j**2 wrt j? -150 Suppose -51*v = -46*v. Let l(r) = -2*r**3 + 21*r**2 + 2*r - 33. Let z be l(10). What is the second derivative of 97*b + 0*b**2 + v*b**2 - z*b + 16*b**5 wrt b? 320*b**3 Find the third derivative of -7306*u - 4*u**2 + 5008*u + 5*u**2 + 1055*u**3 wrt u. 6330 Let t(n) be the second derivative of 0*n**3 - 13/30*n**6 + 0*n**4 + 61*n - 34*n**2 + 0 + 0*n**5. What is the derivative of t(k) wrt k? -52*k**3 Let k(r) be the third derivative of -299*r**5/4 + 197*r**3/3 + 1874*r**2. What is the first derivative of k(t) wrt t? -8970*t Let o = -23 - -25. Suppose -y + o*a + 2*a - 9 = 0, a - 18 = -5*y. Find the third derivative of -6*z**y + 5*z**2 + 0*z**2 - z**2 wrt z. -36 Find the first derivative of 1591 - 743*x**4 - 2*x**3 + 6*x - 13*x + 20*x - 13*x wrt x. -2972*x**3 - 6*x**2 Let j(p) be the second derivative of 0*p**2 + 4 + 101/6*p**3 + 7*p - 1/4*p**5 + 1/12*p**4. What is the second derivative of j(o) wrt o? -30*o + 2 Let a(k) be the second derivative of -13*k**6/240 + 5*k**5/24 + 7*k**4/2 - 73*k. Let u(z) be the third derivative of a(z). Differentiate u(o) wrt o. -39 Let r = -127 + 130. Differentiate 19109*y**3 - 59 + 13 - 19047*y**r with respect to y. 186*y**2 Let w(k) = -k + 6. Let p be w(3). Let i be 17 - 1 - (0 - 10)/(-5). Find the first derivative of -2*y**3 + 6*y**3 - i + 3*y**3 + 5*y**p wrt y. 36*y**2 Let h = 563 + -559. Differentiate 0*d**4 - 20 + 716*d**2 + h*d**4 - 2*d**4 - 768*d**2 wrt d. 8*d**3 - 104*d Let q(d) = -7*d**4 - 57*d**3 + 6*d**2 + 768*d - 6. Let u(n) = -n**4 + 2*n**3 - n**2 + 1. Let l(m) = q(m) + 6*u(m). What is the second derivative of l(s) wrt s? -156*s**2 - 270*s Suppose -3*k = 2*k, 3*k = 2*v - 8. Suppose -26 = -3*a - v*y, -17 = 4*a + 2*y - 7*y. What is the derivative of 6*o**4 - a + 10 - 4 wrt o? 24*o**3 Let v(f) = -1803*f**3 - 3344*f**2 - 4*f - 2. Let t(s) = 3604*s**3 + 6686*s**2 + 10*s + 5. Let p(y) = 2*t(y) + 5*v(y). Find the third derivative of p(z) wrt z. -10842 Let f = 8 - 11. Let a be 7/(-21)*f*3. Differentiate 7*j**a + 5*j**3 - 16 - 6*j**3 + 3*j**3 with respect to j. 27*j**2 What is the derivative of -889*i**4 + 3041 + 610*i**4 - 446*i**4 + 125 - 586*i**4 wrt i? -5244*i**3 What is the second derivative of 833*k**4 - 457*k + 30870 - 61744 + 30871 + 2*k**3 wrt k? 9996*k**2 + 12*k Suppose 5*s - 3*h = 72, s = -0*h - 2*h + 17. Suppose -5*d - 35 = -12*d. What is the derivative of -9*k + 9*k - s*k - d wrt k? -15 Suppose -3*g - k + 3 = -9, 0 = 3*g + 4*k - 12. Find the second derivative of -203*a**4 - 4*a**2 + 107*a**4 + 103*a + 5*a + 107*a**g wrt a. 132*a**2 - 8 Let o(h) = 2*h**3 - 2*h**2 - 12*h + 16. Let s be o(3). What is the derivative of -16*b + 74*b**3 + 11*b**3 + s*b - 7 wrt b? 255*b**2 Find the second derivative of 571*z + 34*z**3 + 3*z**5 + 3 + 3 - 55*z**5 + 48*z**5 - 5 wrt z. -80*z**3 + 204*z Let b = -13 + 32. Let i(q) be the first derivative of 4*q - 7 + 0 - 2*q**3 - b*q. Differentiate i(k) wrt k. -12*k Let v = 39 + -36. Suppose 0 = -y + 2*u - v, 4*y + u - 3*u = 6. What is the third derivative of 9*k**2 + 15*k**2 - 20*k**y + 30*k**3 - k**2 wrt k? 60 What is the derivative of -100*d - 2256*d**4 + 100*d + 3118 - 991 wrt d? -9024*d**3 Let j(f) = -1071*f**4 + 13*f**2 + 1968*f + 26. Let s(t) = -268*t**4 + 3*t**2 + 492*t + 6. Let k(q) = 6*j(q) - 26*s(q). Find the second derivative of k(i) wrt i. 6504*i**2 What is the third derivative of -5*g - 505*g**3 - 1833*g**4 + 0*g**2 + 189 + 1840*g**4 + 2*g - 4*g**2 wrt g? 168*g - 3030 Let a(n) = -7*n**3 - n**2 - 1. Let d(s) = 497*s**3 - 553*s**2 + 9. Let b(u) = 18*a(u) + 2*d(u). Find the third derivative of b(z) wrt z. 5208 What is the derivative of 229*d**2 - 1813 + 383*d**2 - 103*d**2 wrt d? 1018*d Find the second derivative of 168*c + 238*c**4 - 157*c + 139 + 1473*c**4 - 60 wrt c. 20532*c**2 What is the second derivative of 0*l**2 - 2*l**2 - 1073*l + 0*l**2 - 2609*l + 281*l**5 + 1923*l wrt l? 5620*l**3 - 4 Let n(b) = 18*b - 264. Suppose 5*a = 2*a + 15, q = -2*a + 3. Let j(k) = -26*k + 396. Let c(i) = q*n(i) - 5*j(i). What is the first derivative of c(z) wrt z? 4 Let s be (-14 - (12 + -26))/1. Let l(u) be the second derivative of 5*u**2 + 11*u + s - 3/2*u**4 + 0*u**3. What is the first derivative of l(w) wrt w? -36*w What is the second derivative of 412*s - 198*s**3 - 1158*s - 949*s - 705*s**3 wrt s? -5418*s Let h(k) = 33*k**4 - 16*k**3 - 19*k**2 + 16. Let z(u) = u**4 + u**3 + u**2 + 1. Let t(v) = h(v) + 10*z(v). Find the third derivative of t(y) wrt y. 1032*y - 36 What is the second derivative of -3 - 14332*o - 1 + 14348*o - 6 + 41*o**4 - 16*o**2 - 5*o**2 wrt o? 492*o**2 - 42 Let r(m) = 2613*m**3 + 51*m**2 + 3*m + 451. Let v(g) = 7840*g**3 + 136*g**2 + 8*g + 1352. Let w(x) = -8*r(x) + 3*v(x). Differentiate w(i) with respect to i. 7848*i**2 Let c(z) be the second derivative of 0 + 43/42*z**7 + 0*z**5 + 0*z**3 + 0*z**6 + 0*z**2 + 4*z - 19/3*z**4. Find the third derivative of c(g) wrt g. 2580*g**2 Let q(p) = -13*p**4 + 35*p**2 + 7*p - 105. Let t(g) = 13*g**4 - 28*g**2 - 8*g + 106. Let l(n) = -4*q(n) - 5*t(n). Differentiate l(o) with respect to o. -52*o**3 + 12 Let k(h) be the second derivative of 1649*h**6/15 - 4961*h**2/2 - 6925*h + 2. Differentiate k(f) wrt f. 13192*f**3 Let y(r) be the second derivative of 1/2*r**3 - 77/2*r**2 + 6*r + 5. Find the first derivative of y(g) wrt g. 3 Suppose 12 = 36*l - 32*l. What is the third derivative of -3773 + 3766 + 13*h**l + 2*h**2 + 3*h**2 wrt h? 78 Differentiate -4*n**3 - 430*n - 22*n**2 + 24*n**2 + 547*n - 3274 wrt n. -12*n**2 + 4*n + 117 Suppose 0 = -10*u + 65 + 135. What is the derivative of 56*w + 5 - 11 + 19*w - u wrt w? 75 Let o(s) be the third derivative of -385*s**4/12 + 361*s**3/3 - 196*s**2 + 3*s. Find the first derivative of o(a) wrt a. -770 Let s(z) be the third derivative of 741*z**7/10 - z**4/12 - 973*z**3/6 + 54*z**2 - 2*z + 4. Find the second derivative of s(y) wrt y. 186732*y**2 Let h(c) = -c**2 + 2*c - 1. Let b(p) = -77*p**2 + 4*p + 24. Suppose -12*n = -11*n + 2. Let o(s) = n*h(s) + b(s). Differentiate o(r) wrt r. -150*r Let h = -11951 - -11962. Let y(k) be the first derivative of h + 0*k**3 + 3*k**5 + 0*k + 0*k**4 + 9/2*k**2. What is the second derivative of y(f) wrt f? 180*f**2 Suppose -4*k + 7 = -1. Let c(t) be the first derivative of 2*t**2 - 38 + 11*t**3 - 180*t + 180*t - 12*t**k. Find the second derivative of c(j) wrt j. 66 Let h(y) = y**2 + 5*y - 14. Let i be h(14). What is the third derivative of -i*g**3 + 4*g**2 + 4*g + 135*g**3 + 144*g**3 wrt g? 162 Let i = 2001 - 1997. Let j(b) be the second derivative of 17/6*b**3 + 29*b + 1/20*b**5 + 0*b**i + 0 + 0*b**2. Find the second derivative of j(r) wrt r. 6*r Let p(z) be the first derivative of 1/6*z**6 + 7/4*z**4 + 11*z**2 + 0*z**5 + 0*z + 0*z**3 + 40. Find the second derivative of p(a) wrt a. 20*a**3 + 42*a Let z(j) = -2*j. Suppose -n = 1, 9 = -5*f + n - 5*n. Let g(l) = 38*l**2 + 9*l + 31. Let c(k) = f*g(k) - 5*z(k). Find the second derivative of c(w) wrt w. -76 Let h = 155 - 153. Find the third derivative of -27*n**4 + 21*n**4 + 11*n**2 + 46*n**h + 12*n**4 - 5*n**3 wrt n. 144*n - 30 Let m(f) be the first derivative of -1838*f**5/5 - 848*f**3/3 + 3*f - 1264. Find the third derivative of m(n) wrt n. -44112*n Find the first derivative of 3917*o**2 + 25781*o + 5782 + 3297*o**2 - 25781*o wrt o. 14428*o Let t = 69908/5 - 13980. Let r(m) be the first derivative of t*m**5 - 5*m**2 + 0*m**4 + 43 + 0*m + 0*m**3. Find the second derivative of r(w) wrt w. 96*w**2 Differentiate -774*f**2 + 37*f**3 + 29*f**3 - 5*f - 5158 + 35*f**3 + 774*f**2 with respect to f. 303*f**2 - 5 Let g = 14 - -247. Find the second derivative of -259*r + r**3 + 29 - r**3 - 107*r**4 + g*r wrt r. -1284*r**2 Let
{ "pile_set_name": "DM Mathematics" }
nd -93/8. 40 What is the common denominator of 15/583 and 45/53? 583 What is the least common multiple of 33 and 57? 627 What is the smallest common multiple of 4 and 5388? 5388 What is the common denominator of 79/4 and -13/4? 4 Calculate the lowest common multiple of 33 and 207. 2277 Calculate the least common multiple of 12833 and 3. 38499 What is the lowest common multiple of 319 and 319? 319 Calculate the lowest common multiple of 175 and 20. 700 Calculate the common denominator of 13/92 and 97/72. 1656 Calculate the least common multiple of 4056 and 18. 12168 Calculate the common denominator of -55/2 and -22/139. 278 Find the common denominator of -1/33 and 43/1971. 21681 What is the common denominator of 53/155 and -19/434? 2170 Calculate the smallest common multiple of 55 and 3640. 40040 What is the least common multiple of 2 and 121? 242 What is the lowest common multiple of 10 and 5? 10 What is the smallest common multiple of 40 and 4520? 4520 What is the common denominator of 99/280 and -109/280? 280 Calculate the smallest common multiple of 9312 and 160. 46560 What is the lowest common multiple of 42 and 252? 252 Calculate the smallest common multiple of 213 and 96. 6816 Calculate the least common multiple of 15 and 96. 480 Calculate the lowest common multiple of 294 and 126. 882 Calculate the smallest common multiple of 82 and 2. 82 Calculate the lowest common multiple of 175 and 63. 1575 Calculate the lowest common multiple of 5 and 20. 20 Calculate the common denominator of 35/6 and 12/31. 186 What is the common denominator of 59/60 and -1/36? 180 What is the least common multiple of 480 and 12? 480 What is the least common multiple of 832 and 832? 832 Find the common denominator of -32/33 and 2/2427. 26697 What is the lowest common multiple of 1200 and 100? 1200 What is the lowest common multiple of 24 and 8? 24 What is the common denominator of -71/14 and -43/6? 42 Calculate the least common multiple of 42 and 9954. 9954 Calculate the common denominator of -65/172 and -36/5. 860 What is the common denominator of -67/30 and -43/13305? 26610 What is the smallest common multiple of 120 and 420? 840 Calculate the common denominator of 27/40 and 109/18. 360 What is the smallest common multiple of 156 and 104? 312 Calculate the common denominator of -93/2 and 83/70. 70 Find the common denominator of -54/7 and 26/73. 511 Find the common denominator of 115/6 and 13/748. 2244 Calculate the common denominator of -25/18 and 97/14900. 134100 Calculate the common denominator of 45/14 and 13/4. 28 What is the smallest common multiple of 156 and 273? 1092 Calculate the common denominator of 88/15 and 14/519. 2595 Find the common denominator of -51/18268 and -67/22. 200948 What is the lowest common multiple of 4794 and 1? 4794 Calculate the common denominator of -77/72 and -77/369. 2952 What is the smallest common multiple of 68 and 38? 1292 Calculate the lowest common multiple of 1689 and 1126. 3378 Calculate the smallest common multiple of 56 and 24. 168 Calculate the lowest common multiple of 132 and 77. 924 What is the smallest common multiple of 36 and 612? 612 Calculate the common denominator of 133/66 and -9/5. 330 What is the least common multiple of 4 and 14? 28 Find the common denominator of -95/176 and -77/144. 1584 Calculate the common denominator of -101/18 and 39/230. 2070 What is the least common multiple of 1192 and 11? 13112 Calculate the least common multiple of 220 and 264. 1320 What is the smallest common multiple of 287 and 133? 5453 What is the smallest common multiple of 535 and 50? 5350 Find the common denominator of -71/430 and 127/430. 430 Calculate the common denominator of 15/68 and 5/34. 68 Calculate the lowest common multiple of 54 and 102. 918 Calculate the least common multiple of 336 and 126. 1008 Calculate the common denominator of -11/76 and -21/437. 1748 What is the least common multiple of 78 and 16? 624 What is the common denominator of -145/12 and -143/1086? 2172 Calculate the common denominator of -41/9 and 95/942. 2826 What is the common denominator of -43/147 and -82/63? 441 What is the least common multiple of 24 and 30? 120 Calculate the common denominator of -13/80 and -79/375. 6000 Calculate the common denominator of 15/19 and 71/532. 532 What is the least common multiple of 57 and 9? 171 Calculate the smallest common multiple of 630 and 21. 630 What is the lowest common multiple of 258 and 122? 15738 What is the least common multiple of 504 and 6? 504 Calculate the least common multiple of 36 and 132. 396 What is the common denominator of 139/90 and 49/150? 450 What is the common denominator of -57/965 and 17/30? 5790 Calculate the lowest common multiple of 5616 and 56. 39312 What is the least common multiple of 838 and 6? 2514 What is the common denominator of 97/3240 and 43/1296? 6480 What is the common denominator of 81/5170 and 111/940? 10340 Calculate the lowest common multiple of 9 and 3. 9 Calculate the common denominator of 49/99 and 34/165. 495 Find the common denominator of 7/2 and -113/18. 18 What is the common denominator of 111/20 and 73/1670? 3340 Calculate the common denominator of 157/84 and -15/22. 924 Calculate the smallest common multiple of 650 and 208. 5200 What is the least common multiple of 150 and 126? 3150 What is the least common multiple of 18 and 212? 1908 What is the lowest common multiple of 1170 and 78? 1170 Calculate the common denominator of -9/3874 and 123/10. 19370 What is the common denominator of 41/29 and -79/304? 8816 What is the common denominator of -73/528 and -13/242? 5808 Calculate the least common multiple of 1150 and 345. 3450 Calculate the common denominator of 143/8370 and -11/8. 33480 What is the lowest common multiple of 5357 and 3896? 42856 Calculate the least common multiple of 64 and 81. 5184 What is the common denominator of 65/186 and -139/30? 930 What is the common denominator of 61/420 and -88/1575? 6300 Calculate the common denominator of 67/82 and -3/14. 574 Calculate the lowest common multiple of 9 and 1167. 3501 Calculate the least common multiple of 1288 and 56. 1288 Find the common denominator of 51/2 and 53/14. 14 What is the common denominator of 95/12 and -95/2618? 15708 Find the common denominator of 131/1320 and -61/1320. 1320 What is the least common multiple of 2145 and 1001? 15015 What is the smallest common multiple of 1148 and 1640? 11480 Calculate the common denominator of 83/2006 and 103/238. 14042 What is the common denominator of 13/2 and -11/6320? 6320 What is the smallest common multiple of 20 and 16? 80 Find the common denominator of 127/30 and 2/195. 390 Calculate the smallest common multiple of 102 and 60. 1020 What is the least common multiple of 322 and 168? 3864 What is the smallest common multiple of 51 and 168? 2856 Calculate the common denominator of 187/390 and 109/54. 3510 Calculate the common denominator of 103/136 and 3/8. 136 Find the common denominator of 31/40 and -5/168. 840 Calculate the common denominator of -31/48 and -79/22. 528 What is the least common multiple of 120 and 144? 720 What is the least common multiple of 628 and 8? 1256 What is the lowest common multiple of 40 and 2616? 13080 Calculate the smallest common multiple of 693 and 270. 20790 Find the common denominator of -23/336 and -23/336. 336 Calculate the lowest common multiple of 394 and 20. 3940 Calculate the common denominator of -97/140 and 5/34. 2380 What is the lowest common multiple of 180 and 4220? 37980 Calculate the smallest common multiple of 64 and 25. 1600 What is the lowest common multiple of 16 and 290? 2320 Calculate the common denominator of -119/324 and 101/216. 648 Calculate the lowest common multiple of 384 and 20. 1920 Calculate the common denominator of 47/560 and 71/6. 1680 Calculate the least common multiple of 12 and 357. 1428 Calculate the least common multiple of 165 and 105. 1155 Calculate the common denominator of -33/97 and 37/8. 776 Calculate the least common multiple of 166 and 11. 1826 Calculate the common denominator of -91/808 and 39/8. 808 Calculate the common denominator of -23/175 and 52/3. 525 What is the lowest common multiple of 110 and 14? 770 Find the common denominator of 50/407 and -6/
{ "pile_set_name": "DM Mathematics" }
98732 - w. What is p rounded to 7 dps? -0.0000013 Let m = 287.4000002355 - 287.4. Round m to 7 decimal places. 0.0000002 Let s = -413 - -680. Let g = s - 267.001136. What is g rounded to 4 dps? -0.0011 Let w = -176 + 34. Let y = w + 140.95. Round y to 0 dps. -1 Let o = -28900.46 - -29175. Round o to the nearest one hundred. 300 Let a(c) = 20*c**3 - c**2 + 23*c. Let q be a(7). Suppose 2*y + 12*y = q. Round y to the nearest one hundred. 500 Let h = -2056.4 + 1970.99. Round h to the nearest 10. -90 Let s = 0.06561 - 685.46561. What is s rounded to the nearest 100? -700 Let f = -5145.91774 + 5146. Round f to 2 dps. 0.08 Let h(f) = 34222*f**2 + 35*f + 29*f - 58*f. Let c be h(2). Round c to the nearest ten thousand. 140000 Let o = 450314754.2000121 - 450314733. Let s = 21.2 - o. What is s rounded to six dps? -0.000012 Let q = -295.9664 + 296. Let d = 0.0476 - q. What is d rounded to two dps? 0.01 Let x = -2529.7 - -2162. What is x rounded to the nearest ten? -370 Let l = -885563 - -306463. Let a = l + 62100. Round a to the nearest one hundred thousand. -500000 Suppose p - 38472539 + 2848539 = -3*p. Round p to the nearest 100000. 8900000 Let w = 0.08879 - 0.0919475. What is w rounded to 5 dps? -0.00316 Suppose 108*a + 37024669 = 8768629. Round a to the nearest one hundred thousand. -300000 Let j = -0.092721 - -16.174021. Let a = 11.38086 - j. Let i = 4.7 + a. What is i rounded to four decimal places? -0.0004 Let j = 25655366 - 25656663.1799. Let m = 1362.184 + j. Let n = -65 + m. Round n to three dps. 0.004 Let k = 44561.7004 + -44562. What is k rounded to 1 dp? -0.3 Let p = 11.2802526 - 11.28. Round p to 5 dps. 0.00025 Let w = 426.82629 + -0.07629. Round w to the nearest 100. 400 Let i = 43.675 + -35.83. Let h = i - 6.1. What is h rounded to 1 dp? 1.7 Let x = 8135 - -2978. Round x to the nearest 100. 11100 Let f = -3.21764234 + 172.21906134. Let r = f + -169. Round r to four decimal places. 0.0014 Suppose 5*i + 7096 = -1279. Let g(p) = -4*p**2 - 2*p - 21. Let r be g(-17). Let u = r - i. Round u to the nearest 100. 500 Let n = -16690809082.19996479 + 16690808994. Let i = n - -88.2. Round i to six dps. 0.000035 Let u = -297.291482 - -4.260782. Let p = 570 + -863. Let h = u - p. Round h to two decimal places. -0.03 Let b = 22.942 - 23. Let a = 40.058 + b. Let k = 39.99999954 - a. What is k rounded to seven decimal places? -0.0000005 Let p = 0.00974 - -0.27967. Round p to 2 decimal places. 0.29 Let i = 1.169464766 + -1.1695. Round i to five dps. -0.00004 Let h = -146 - -176. Suppose 26*j - 1508 = h*j. What is j rounded to the nearest ten? -380 Let g = 2578 - 3236.3. Round g to the nearest 10. -660 Let q = -10369 - -10362.573. Let g = -6.14 - q. What is g rounded to 2 dps? 0.29 Let f = -40076.3513 + 37916.34169. Let y = 2160 + f. Round y to two dps. -0.01 Let k = 15957 + -15779.18. What is k rounded to the nearest ten? 180 Let h = 0.6289 + -0.675. Let p = -0.0164 - h. What is p rounded to two dps? 0.03 Let j = 18701 + -18145.61. Let a = -0.022 - -553.022. Let t = j - a. What is t rounded to 1 dp? 2.4 Let q = -671637219710810 - -671637484739946.9999818. Let v = -265029091 + q. Let l = 46 - v. What is l rounded to 6 dps? 0.000018 Let t = 703.4 + -703.3999979195. Round t to seven decimal places. 0.0000021 Let i = 204.14277924 - 203.69478. Let z = i + -0.448. What is z rounded to 6 decimal places? -0.000001 Let s = 8174 - 8190.89. What is s rounded to the nearest integer? -17 Let z = 18393 - 18392.526351. Let n = 201.526 + -202. Let j = z + n. Round j to 5 dps. -0.00035 Let z(t) = -t**2 - 26*t - 107. Let l be z(-21). Let i(v) = -52*v**3 + 12*v**2 + 3*v + 3. Let h be i(l). What is h rounded to the nearest 10? 460 Let m = 6.579 + -6.5790008183. Round m to seven dps. -0.0000008 Let h = -9.597 - -9.6014265. Round h to four decimal places. 0.0044 Let y(z) = -6978773*z + 2411. Let u be y(7). What is u rounded to the nearest one million? -49000000 Let t = 340721.973 - 341160. Let r = -438 - t. What is r rounded to 2 dps? 0.03 Suppose 0 = 6*b - 24 - 0. Suppose -24 = -2*p - 0*z + 5*z, b*p - 3*z = 48. Let j be (-6)/(p/(-5))*284. Round j to the nearest 100. 700 Let n = 3216 - 3216.00000195. Round n to six dps. -0.000002 Let i = -1.62 + 1.23. Let f = 96.61 - i. Let d = f - 97.000042. Round d to five decimal places. -0.00004 Let f = 7804285 + -4884260. Suppose -5*x + 0*x = -2*t + f, 3*x = -15. What is t rounded to the nearest one hundred thousand? 1500000 Suppose -7*j + 5*j + 3*c - 4 = 0, -3*c = -4*j - 8. Let h be j - 252700014/(7/(-1)). What is h rounded to the nearest one million? 36000000 Let y = -930472 - -930472.0979449. Let c = 0.0979 - y. What is c rounded to five decimal places? -0.00004 Let s(i) = -38678106*i - 1. Let x be s(-1). Let b(k) = 1361892*k**2 + 10*k + 13. Let o be b(-1). Suppose 0 = -14*m + x + o. Round m to the nearest 100000. 2900000 Let r = 1.66521 - 1.394622. Let h = r - 0.6605847. Let m = -0.39 - h. What is m rounded to 7 decimal places? -0.0000033 Let w(a) = 2493*a**3 - 6*a**2 + 5*a - 72. Suppose 14*u - 51 = 3*i + 17*u, 85 = -5*i + 2*u. Let r be w(i). What is r rounded to the nearest 1000000? -12000000 Let c = -42096.999937379 + 42097. What is c rounded to 5 decimal places? 0.00006 Suppose 0 = 8*p - 0*p - 46400. Suppose -5*w = 2*o + p, -o + 4*o + 8700 = 4*w. Round o to the nearest one thousand. -3000 Let l = -860 - -859.599. Let t = 1.022 + l. What is t rounded to one dp? 0.6 Let r = -0.256664 - -1315.015664. Let m = -341 - 973. Let l = m + r. Round l to one decimal place. 0.8 Let m = 0.29922611 + -31.29924051. Let g = -2 + 33. Let i = g + m. Round i to six dps. -0.000014 Let t = -12.26466925 - -12.265. Round t to four decimal places. 0.0003 Let a = -9014 - -12430.1. Let q = -3790 + a. Round q to the nearest one hundred. -400 Let n(z) = -77*z + 1. Let j be n(4). Let r = j - -1413. Suppose -7*h + 0*h = -r. What is h rounded to the nearest ten? 160 Let k = 4161.04426 + -4161. Let i = k - 0.0442596589. Round i to seven dps. 0.0000003 Let o = -4.744 + -0.076. Let x = 1.68 - o. What is x rounded to 0 dps? 7 Let h = 30.5343 + -0.0343. Let d = h + 4.27. Round d to the nearest ten. 30 Let x = 1990 - 2009.22. Round x to the nearest ten. -20 Let p = -0.9800582 - 22.0199768. Let x = 2055 + -2078. Let w = p - x. Round w to 5 decimal places. -0.00004 Let p = 0.10337746 - 0.10284. What is p rounded to four dps? 0.0005 Let l = -2245 - -2208. Let j = 0.4565388 - 37.4569488. Let h = l - j. What is h rounded to four decimal places? 0.0004 Let o = 0.11194859 + -0.111308. Round o to five decimal places. 0.00064 Suppose 3*u - 39 = -5*c - 4, 3*c = -5*u + 69. Suppose 4 = 16*y - u*y. Suppose 30399975 = -y*t - 0*t + 5*r, -4*t + r = 30399995. Round t to the nearest 1000000. -8000000 Suppose -s - 4*s - 5*d = 0, 12 = s - 2*d. Suppose -3*o = 2*o + 3*m - 25049985, -3*m = -s*o + 20040015. Round o to the nearest 1000000. 5000000 Let z = -2.62 - 161.38. Let s = z + 146.9. What is s rounded to the nearest integer? -17 Let x = 4081173949300729 - 4081173689614115.80000004. Let d = x - 259686568.2. Let s = 45 - d. Round s to 7 decimal places. 0 Let p(x) be the third derivative of -68611*x**4/4 + 2*x**3/3 + x**2 + 8. Let d be p(-6). Round d to the nearest one hundred thousand. 2500000 Let s = -33891.79 - -34032. Let m = 140 - s. Round m to the nearest integer. 0 Let b = -1.3008 + 150.1628. What is b rounded to the nearest 10? 150 Let b = 62.9379 - 63. Let q = 0.06210263 + b. What is q rounded to six decimal places? 0.000003 Let p = -3552.63 - -240.73. What is p rounded to the nearest one thousand? -3000 Let z(f) = 109*f**2 - 2*f - 1. Let a(x) = x**2. Let h(y) = -2*a(y) - z(y). Let k be h(1). What is k rounded to the nearest ten? -110 Let b = -49026 + 49003.607. Let g = b - -0.183. What is g rounded to 0 decimal places? -22 Let g = 645 + -94. Let y = g + -551.000001041. What is y rounded to 7 dps? -0.000001 Let u be (-1503)/(-4)*(15933/1356 + (-2)/(-8)). Round u to the nearest 100. 4500 Suppose 3*t + 20*o = 22*o - 116546, t + 38832 = 9*o. Round t to the nearest one hundred thousand. 0 Let u = 2992 + -2992.0000000304. What is u rounded to seven dps? 0 Let i be 56/(-5)*(60/8)/(-3). Suppose 5*r + 3*g - 69 = 0, -10 = 2*g + 3*g. Let b = i + r. What is b rounded to the nearest ten? 40
{ "pile_set_name": "DM Mathematics" }
qaqq. 5/36 Calculate prob of sequence nn when two letters picked without replacement from {l: 3, v: 5, n: 2}. 1/45 Three letters picked without replacement from {y: 5, k: 7}. What is prob of sequence yyk? 7/66 Calculate prob of sequence ng when two letters picked without replacement from xnggxnxxgnxxnx. 6/91 Two letters picked without replacement from uuuuuuuuuuuuuuuuucu. Give prob of sequence cu. 1/19 Calculate prob of sequence el when two letters picked without replacement from {d: 2, f: 1, r: 1, e: 1, l: 1, z: 1}. 1/42 Four letters picked without replacement from idioooqoq. Give prob of sequence diiq. 1/756 Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}. 1 Three letters picked without replacement from kygxkyyhkyg. What is prob of sequence kky? 4/165 What is prob of sequence ppo when three letters picked without replacement from ooooooopoopoopoo? 13/560 Four letters picked without replacement from {z: 1, w: 1, f: 1, s: 1, c: 1}. What is prob of sequence cwww? 0 Four letters picked without replacement from {v: 3, m: 2, z: 1, e: 5, o: 1, t: 3}. Give prob of sequence zmmv. 1/5460 Calculate prob of sequence hh when two letters picked without replacement from {h: 3, a: 8}. 3/55 Three letters picked without replacement from tnqtntttqqmf. Give prob of sequence nnq. 1/220 Two letters picked without replacement from {p: 1, d: 4, h: 1, s: 1, v: 2}. What is prob of sequence sv? 1/36 Three letters picked without replacement from {n: 9, c: 2}. Give prob of sequence nnc. 8/55 What is prob of sequence tgt when three letters picked without replacement from tggettwgtgwtgmggttgt? 56/855 Two letters picked without replacement from lpzpplpsz. Give prob of sequence sl. 1/36 Calculate prob of sequence fe when two letters picked without replacement from {t: 1, j: 2, d: 3, n: 10, e: 2, f: 1}. 1/171 Calculate prob of sequence xxxx when four letters picked without replacement from {c: 6, x: 6}. 1/33 Two letters picked without replacement from kuccklcucb. What is prob of sequence cc? 2/15 Two letters picked without replacement from aaeee. Give prob of sequence ee. 3/10 Two letters picked without replacement from vvfeevfffgvgsffg. What is prob of sequence vs? 1/60 What is prob of sequence odod when four letters picked without replacement from {d: 3, o: 5}? 1/14 Calculate prob of sequence bw when two letters picked without replacement from {w: 3, b: 1, p: 5, v: 1}. 1/30 Calculate prob of sequence ad when two letters picked without replacement from dbhadbpx. 1/28 Two letters picked without replacement from llllllllllllllrllrl. What is prob of sequence rl? 17/171 Two letters picked without replacement from eqekbau. Give prob of sequence eb. 1/21 Four letters picked without replacement from ddddxxddd. What is prob of sequence xddx? 1/36 Four letters picked without replacement from atakkxtixatkli. What is prob of sequence tatl? 3/4004 Three letters picked without replacement from piiqqiqqpiinn. What is prob of sequence iqp? 10/429 What is prob of sequence hnh when three letters picked without replacement from {n: 7, h: 2}? 1/36 Two letters picked without replacement from mzzbbmmmzzmzm. Give prob of sequence mb. 1/13 Calculate prob of sequence eo when two letters picked without replacement from {o: 1, e: 3}. 1/4 What is prob of sequence eep when three letters picked without replacement from ameemewmpmmppemv? 3/280 Two letters picked without replacement from jjasj. What is prob of sequence aj? 3/20 Two letters picked without replacement from {t: 2, z: 2, x: 1, s: 2, d: 1}. Give prob of sequence tz. 1/14 What is prob of sequence uwuu when four letters picked without replacement from uuuuuwuwuw? 1/8 Four letters picked without replacement from vcvvvcv. Give prob of sequence vccv. 1/21 What is prob of sequence hqo when three letters picked without replacement from {h: 1, x: 2, o: 2, b: 3, g: 2, q: 2}? 1/330 Three letters picked without replacement from {s: 1, k: 4, r: 4, f: 3, m: 1, l: 4}. Give prob of sequence rrl. 1/85 What is prob of sequence iii when three letters picked without replacement from gggiggii? 1/56 Four letters picked without replacement from ffggfcfgccofgggmf. Give prob of sequence cgmo. 3/9520 What is prob of sequence ff when two letters picked without replacement from {f: 4, a: 4, b: 3, e: 6}? 3/68 Four letters picked without replacement from aayyaaaaaay. What is prob of sequence yyyy? 0 Three letters picked without replacement from mmm. Give prob of sequence mmm. 1 Four letters picked without replacement from {z: 8, a: 2}. Give prob of sequence azaz. 1/45 Calculate prob of sequence aaar when four letters picked without replacement from rawrrraaaa. 1/21 What is prob of sequence yq when two letters picked without replacement from {h: 1, q: 2, i: 1, y: 1, c: 1, r: 1}? 1/21 Calculate prob of sequence dfv when three letters picked without replacement from djjjghdhfjvv. 1/330 Calculate prob of sequence xxkz when four letters picked without replacement from zxddkuvx. 1/840 Two letters picked without replacement from {m: 2, h: 2, y: 1, t: 2, b: 1, k: 1}. What is prob of sequence yh? 1/36 Two letters picked without replacement from {j: 3, o: 1}. Give prob of sequence jj. 1/2 Calculate prob of sequence ir when two letters picked without replacement from irrir. 3/10 What is prob of sequence nr when two letters picked without replacement from nlbbllbrlrrllbx? 1/70 Calculate prob of sequence dr when two letters picked without replacement from {r: 17, d: 3}. 51/380 Three letters picked without replacement from llqulqlulflq. What is prob of sequence qqu? 1/110 What is prob of sequence owe when three letters picked without replacement from {w: 9, e: 2, m: 1, o: 4}? 3/140 Two letters picked without replacement from httttmiaaaatrart. Give prob of sequence tr. 1/20 Calculate prob of sequence wdf when three letters picked without replacement from dddwddddfddnddnnnnd. 2/969 What is prob of sequence qq when two letters picked without replacement from zszyzzzzvqqyyyz? 1/105 Calculate prob of sequence wk when two letters picked without replacement from ftcwfclwklkl. 1/33 What is prob of sequence jwwj when four letters picked without replacement from wwjjjwjjwjjwwwwwwjj? 45/646 What is prob of sequence ia when two letters picked without replacement from {a: 1, i: 11}? 1/12 What is prob of sequence szp when three letters picked without replacement from {l: 1, p: 1, z: 1, v: 2, o: 1, s: 1}? 1/210 Two letters picked without replacement from {r: 3, g: 4, w: 1, q: 2}. Give prob of sequence qg. 4/45 Four letters picked without replacement from {i: 4, q: 3}. What is prob of sequence iiqi? 3/35 Calculate prob of sequence fd when two letters picked without replacement from jdejdf. 1/15 Two letters picked without replacement from {n: 1, f: 3}. Give prob of sequence nf. 1/4 Calculate prob of sequence mm when two letters picked without replacement from {m: 2, q: 2}. 1/6 Calculate prob of sequence foez when four letters picked without replacement from ffobafbobbbffzeaoab. 5/31008 Two letters picked without replacement from xfooi. Give prob of sequence ox. 1/10 Two letters picked without replacement from slsssssslslllolll. What is prob of sequence ls? 4/17 What is prob of sequence aa when two letters picked without replacement from {n: 2, a: 3}? 3/10 Calculate prob of sequence cfl when three letters picked without replacement from rrwxlclfcxrf. 1/165 Two letters picked without replacement from {v: 1, d: 1, o: 1, a: 1, s: 4}. Give prob of sequence ad. 1/56 Two letters picked without replacement from yyawayywaow. What is prob of sequence oy? 2/55 Calculate prob of sequence bt when two letters picked without replacement from stssbvvsbss. 1/55 Two letters picked without replacement from pqltbyb. What is prob of sequence pt? 1/42 Four letters picked without replacement from zzzzzzzzz. Give prob of sequence zzzz. 1 Three letters picked without replacement from mmppmkkkmmkp. Give prob of sequence ppp. 1/220 Four letters picked without replacement from {y: 2, a: 1, h: 7}. What is prob of sequence yhah? 1/60 Two letters picked without replacement from fjaejejjjffftjs. Give prob of sequence ta. 1/210 Two letters picked without replacement from {u: 5, y: 3, g: 2
{ "pile_set_name": "DM Mathematics" }
= 4*n**2 + 25*n - 4. What is the units digit of j(-17)? 7 Let a be -3 - (54/(-3))/3. Suppose -5*n - a*q = 27, -2*q = -3*n + 3*q - 23. Let z = n + 19. What is the tens digit of z? 1 Suppose -5*d = 4*f - 0*f - 12, -3*d = 0. Suppose -471 = -2*v + 2*y + 3*y, f*v = 2*y + 690. What is the units digit of v? 8 Let c(w) = -w**3 - w**2 - 18*w - 10. Let b be c(-7). Let i = -246 + b. What is the tens digit of i? 6 Let r(d) = -2 + 1 - 8*d**2 + 3 + 7 + d**3. Let i be (12/(-8))/((-3)/16). What is the units digit of r(i)? 9 Let i(y) = 6*y - 30. Let f(g) = -4*g + 20. Let s(w) = 8*f(w) + 5*i(w). Let z be s(6). What is the units digit of 39/(-6)*1*z? 3 Let r(z) be the second derivative of -z**3/6 + 7*z**2/2 + 11*z. Let q be r(7). Suppose -3*w = q, w + 70 = 5*x + 4*w. What is the tens digit of x? 1 Let u(k) be the first derivative of k**3/3 - 3*k**2/2 - 4*k + 11. What is the units digit of u(-5)? 6 Let a = -289 + 825. What is the tens digit of a? 3 Suppose 5*y - 154 = 4*k, -4*y - 5*k = -3*k - 118. What is the units digit of y? 0 Let f(i) = -2*i + 4. Let s(o) = -o + 2. Let b(g) = 6*f(g) - 14*s(g). What is the units digit of b(9)? 4 Let h be 98/21 + (140/12)/(-7). Let b be (1 + 0)/((-2)/(-22)). Suppose -b + 101 = h*n. What is the tens digit of n? 3 Suppose -3*d + 5*x + 30 = 0, -4*d + 18 = -3*x - 11. Suppose d*t - 100 = t. Suppose -4*k + t = -7. What is the units digit of k? 8 Suppose -f - 2*s = 2*f - 5815, 0 = -4*f + 4*s + 7740. What is the tens digit of f? 3 Suppose 313 = t + 5*l, 5*l + 6 - 1 = 0. Suppose -2*q = 4*q - t. What is the tens digit of q? 5 Suppose 17*u - 4 = 19*u. What is the tens digit of (u/9*3)/(10/(-1185))? 7 Let h(j) be the first derivative of 7*j**2 + 3*j + 1. Let v be h(-3). What is the tens digit of (1 + 3 - v) + 2? 4 Suppose u = -2*l + 348, 10*l - 6 = 7*l. What is the hundreds digit of u? 3 Suppose 6*s + s - 63 = 0. Suppose -4*m - 144 = -s*m - 4*z, -2*m + 58 = 2*z. What is the tens digit of m? 2 Let i(q) be the second derivative of -q**4/8 - 7*q**3/3 + q**2 + 3*q. Let w(z) be the first derivative of i(z). What is the units digit of w(-6)? 4 Let a be (-3 - (-5 + 0))*-236. What is the tens digit of 2/12 + a/(-48)? 1 Let g = -43 + 94. Let n = g - 27. What is the tens digit of n? 2 Suppose 2*d + 383 = 479. What is the units digit of d? 8 Suppose -9 = -5*r + 1. Suppose 3*w + r*w - 715 = 0. What is the hundreds digit of w? 1 Suppose -5*g + 66 = 3*p, -g + 0*g - 84 = -3*p. Let c = 29 - p. Suppose h - c*k + 293 = 6*h, -h + 2*k + 49 = 0. What is the units digit of h? 7 Suppose 0 = -5*a + 6*q - 2*q + 50, -10 = -a + 5*q. Let p = -3 + a. Let k = p - 5. What is the units digit of k? 2 What is the hundreds digit of 391 + 4/(4/(-5))? 3 Suppose -77324 = 69*u - 82*u. What is the hundreds digit of u? 9 Let y(g) = -4*g + 7 - 1 - 4. Let n(q) = -3*q - 14. Let h be n(-3). What is the units digit of y(h)? 2 Suppose -17*h + 5*h = -6204. What is the units digit of h? 7 Let d be 1/1*(5 - 0). Suppose -3*t + d*t - 74 = 0. What is the units digit of t? 7 Let q(h) = -h**3 - 5*h**2 - 5*h. Let i be q(-4). Suppose -3*j - 1 = -2*t, 0*t + 10 = i*j + 3*t. What is the units digit of (2 - j)*(-539)/(-11)? 9 Suppose 0 = -w - y + 2*y + 314, -630 = -2*w + y. Suppose -5*i - w + 811 = 0. What is the units digit of i? 9 Suppose 57 = -5*j + 72. Suppose 0 = -3*m + 3*y - 4*y + 46, -56 = -j*m + y. What is the units digit of m? 7 Let o(t) = -t**3 + 39*t**2 - 62*t + 101. What is the tens digit of o(37)? 4 Suppose -u + 775 = 4*u. Suppose -3*i + 55 = -u. What is the tens digit of i? 7 Suppose -1 = o - 7. Let b(s) = 2*s**2 + 7*s - 13. What is the tens digit of b(o)? 0 Suppose 401 = 2*d + 229. What is the tens digit of d? 8 Let r be 6 + -8 + 5 + 57/1. Suppose -59*n + 64*n = r. What is the tens digit of n? 1 Let i(r) = r**3 - 40*r**2 + 68*r - 98. What is the units digit of i(40)? 2 Let p(i) = -716*i - 34. What is the hundreds digit of p(-2)? 3 Suppose -33 = 3*u + c, -4*u + 4*c = -c + 63. What is the tens digit of 175/4 + u/(-48)? 4 Suppose f - 3*q - 36 = -0*f, -2*q - 37 = -f. Let m be (16 - 16) + (-1 - f). Let w = 7 - m. What is the units digit of w? 7 Suppose -2 = 5*o + 18, 0 = -3*t + 4*o + 4060. What is the thousands digit of t? 1 Let j = 133 - 119. Suppose j*o = 12 + 30. What is the units digit of o? 3 Let s be (20 - 18) + (2 - -163). Let f = 348 - s. What is the tens digit of f? 8 Let g(b) be the third derivative of b**5/60 + b**4/3 - 4*b**3 - 3*b**2. What is the tens digit of g(-13)? 4 Suppose 5*k - 516 = 4*n, -125 - 561 = 5*n + 4*k. Let l = 204 + n. What is the units digit of l? 0 Let s = -5 - -3. What is the hundreds digit of 119 + (s - 1 - -5)? 1 Suppose -y + 5*y - 40 = 0. What is the units digit of (-5)/y*6 + 1 + 56? 4 Suppose 6*r = 3*r + 9. Suppose -r*k = -k - 4. Suppose -2*b + 0*w + 24 = 5*w, -k = -w. What is the units digit of b? 7 Let v = -2 - -15. Suppose 3*r - 2 = v, -2*m - r + 5 = 0. Suppose -2*l + 4*x + 34 = m, -2*x = 5*l - 5*x - 57. What is the units digit of l? 9 Suppose -14*g + 4728 = -3140. What is the hundreds digit of g? 5 Let r(d) = -734*d - 164. What is the units digit of r(-4)? 2 Suppose 3*o - o + y = 211, -o - 4*y = -102. Suppose -96 = -j - k, -j + 6*k + o = 2*k. What is the units digit of j? 8 Let o = 13 - 8. Suppose -o*n = -7*n. Suppose g = -n*y - 2*y + 28, 5*y = 3*g - 62. What is the tens digit of g? 2 Suppose -d - u + 1 = 0, 0 = -2*d - u - 1 + 4. Let x be ((-84)/35)/((-3)/(-40)) - -4. What is the units digit of 60/(-24)*x/d? 5 Let q(z) = -z**3 + 8*z**2 - 7*z. Let y = -1 + 17. Let p = y - 11. What is the units digit of q(p)? 0 Suppose x - 63*x = -33356. What is the tens digit of x? 3 Let k(c) = -3 - c**2 + 12*c**2 - 2*c**3 + 11*c - 18*c**2. What is the tens digit of k(-6)? 1 What is the tens digit of -2*1/2 - -366? 6 Let k = 21 - 13. Suppose -5*t = -w - k, -2 = w + 1. What is the units digit of t - (4 - 1) - -10? 8 Suppose -6 = -3*i - 3*q, -5*q = i - 4*i - 2. What is the tens digit of 7 - (2 + (i - 7))? 1 What is the hundreds digit of (-2 - (-20)/16) + (-26818)/(-88)? 3 Let i(o) = -o**2 - 17*o + 41. Let y be i(-19). What is the tens digit of 1 - -72 - (15/y + -7)? 7 Let s be 0 - 83/2 - 9/(-6). Let w = 100 - s. What is the hundreds digit of w? 1 Suppose -3*s = n - 413, 2*n + 213 = 2*s - 65. Let k = -97 + s. What is the tens digit of k? 4 Suppose 745*u = 738*u + 5810. What is the units digit of u? 0 Suppose 5*h = b - 825, 5*b - 3*b - 1674 = -2*h. Suppose 2484 = -3*l + 4*o, 0 = 2*l - l + o + b. What is the tens digit of 16/88 + l/(-22)? 3 Let y(b) = -b**3 + 2*b**2 + 3*b + 3. Let o be y(3). Suppose 5*k - o*l + l = 346, 5*k - l = 343. What is the tens digit of k? 6 Let a be -1 + 1/(-5)*0. Let q be (2 - (a + 4))*0. Suppose q = -5*t + 4*g + 15, -t + 3*g - 8 = -0*t. What is the units digit of t? 7 Let w = -15 - -15. Suppose w*j - 4 = -j. Suppose -j*s + 124 = -112. What is the tens digit of s? 5 Let o(r) = 454*r**2 - 3*r + 4. What is the units digit of o(1)? 5 Suppose 7 = -b - 31. Let a = -54 + b. Let g = -59 - a. What is the units digit of g? 3 Suppose -11*c = -27*c + 22816. What is the units digit of c? 6 Let x(m) = -8*m**3 + 16*m**2 - 12. Let u(h) = -3*h**3 + 5*h**2 - 4. Let k(g) = -11*u(g) + 4*x(g). Let z be k(-9). Let p = z + 6. What is the units digit of p? 2 Let k = 286 - 124. Suppose -168 = -5*g + k. What is the tens digit of g? 6 Let g = 3594 + -2257. What is the units digit of g? 7 Let n(p) = -p**3 + 7*p**2 - 4*p + 4. Let f be n(3). Let u = -23 + f. Suppose u*w - 3*w = 18. What is the units digit of w? 9 Suppose 2*k = -3*v + 5*v + 380, v - 3 = 0. Suppose 0 = -8*o + 39 + k. What is the tens digit of o? 2 Let t(a) = a**2 - 15*a - 9. Let p(c) = 7*c + 4. Let j(v) = 13*p(v) + 6*t(v). What is the tens digit of j(-2)? 2 Let p be ((-18)/(-45))/((-2)/(-20)). Let y = 23 - 10. Suppose -91 - y = -p*x. What is the tens digit of x? 2 Suppose -3*g - 9 = 0, -3*j - 5*g + 0*g + 3240 = 0. What is the hundreds digit of j? 0 Let u(c) = -126*c + 2. What is the hundreds digit of u(-3)? 3 Let u(b) = -b**2 + 20*b + 9. Let k be u(15). Suppose -k = -p + 17. What is the units digit of p? 1 Suppose f = -v + 608 + 45, 5*f + 2*v = 3265. What is the units digit of f? 3 Suppose -2*b + 3*c = -4*b - 317, -5*b = -5*c + 730. Let f = b - -273. What is the hundreds digit of f? 1 Let b(r) = 11*r**2 - 7
{ "pile_set_name": "DM Mathematics" }
rest integer? 10 What is the third root of 17624 to the nearest integer? 26 What is 2242 to the power of 1/4, to the nearest integer? 7 What is 557 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 323 to the nearest integer? 2 What is 4490 to the power of 1/3, to the nearest integer? 16 What is the cube root of 2352 to the nearest integer? 13 What is the cube root of 10248 to the nearest integer? 22 What is the square root of 14357 to the nearest integer? 120 What is the ninth root of 713 to the nearest integer? 2 What is the third root of 9831 to the nearest integer? 21 What is the third root of 11088 to the nearest integer? 22 What is 18 to the power of 1/9, to the nearest integer? 1 What is the tenth root of 19179 to the nearest integer? 3 What is the cube root of 357 to the nearest integer? 7 What is the cube root of 9455 to the nearest integer? 21 What is the eighth root of 44459 to the nearest integer? 4 What is the cube root of 31696 to the nearest integer? 32 What is the fourth root of 2567 to the nearest integer? 7 What is the fifth root of 1574 to the nearest integer? 4 What is the third root of 32811 to the nearest integer? 32 What is the eighth root of 25062 to the nearest integer? 4 What is 1502 to the power of 1/4, to the nearest integer? 6 What is the cube root of 841 to the nearest integer? 9 What is the square root of 47259 to the nearest integer? 217 What is the ninth root of 106388 to the nearest integer? 4 What is the square root of 730 to the nearest integer? 27 What is 763 to the power of 1/2, to the nearest integer? 28 What is the square root of 8683 to the nearest integer? 93 What is 109849 to the power of 1/8, to the nearest integer? 4 What is 3875 to the power of 1/5, to the nearest integer? 5 What is the third root of 1106 to the nearest integer? 10 What is the eighth root of 1705 to the nearest integer? 3 What is 1879 to the power of 1/8, to the nearest integer? 3 What is 918 to the power of 1/3, to the nearest integer? 10 What is 190 to the power of 1/3, to the nearest integer? 6 What is 26983 to the power of 1/3, to the nearest integer? 30 What is the third root of 15312 to the nearest integer? 25 What is 32428 to the power of 1/3, to the nearest integer? 32 What is 5306 to the power of 1/3, to the nearest integer? 17 What is the cube root of 2694 to the nearest integer? 14 What is the sixth root of 1049 to the nearest integer? 3 What is the eighth root of 60682 to the nearest integer? 4 What is the cube root of 7769 to the nearest integer? 20 What is the cube root of 13998 to the nearest integer? 24 What is the third root of 6095 to the nearest integer? 18 What is 8767 to the power of 1/2, to the nearest integer? 94 What is 4625 to the power of 1/4, to the nearest integer? 8 What is the cube root of 4321 to the nearest integer? 16 What is the fifth root of 3865 to the nearest integer? 5 What is the third root of 3896 to the nearest integer? 16 What is 351 to the power of 1/2, to the nearest integer? 19 What is 754 to the power of 1/6, to the nearest integer? 3 What is 40443 to the power of 1/2, to the nearest integer? 201 What is the cube root of 220 to the nearest integer? 6 What is the cube root of 31051 to the nearest integer? 31 What is the cube root of 2330 to the nearest integer? 13 What is the square root of 7617 to the nearest integer? 87 What is 1967 to the power of 1/3, to the nearest integer? 13 What is 86252 to the power of 1/2, to the nearest integer? 294 What is 666 to the power of 1/2, to the nearest integer? 26 What is 2320 to the power of 1/8, to the nearest integer? 3 What is 18511 to the power of 1/3, to the nearest integer? 26 What is the third root of 4364 to the nearest integer? 16 What is 31628 to the power of 1/2, to the nearest integer? 178 What is the cube root of 3391 to the nearest integer? 15 What is 1475 to the power of 1/2, to the nearest integer? 38 What is the cube root of 2302 to the nearest integer? 13 What is 320 to the power of 1/10, to the nearest integer? 2 What is 3545 to the power of 1/5, to the nearest integer? 5 What is the fourth root of 622 to the nearest integer? 5 What is the tenth root of 1015 to the nearest integer? 2 What is the third root of 36403 to the nearest integer? 33 What is the square root of 8689 to the nearest integer? 93 What is the eighth root of 1362 to the nearest integer? 2 What is 111069 to the power of 1/2, to the nearest integer? 333 What is the cube root of 41971 to the nearest integer? 35 What is the fourth root of 58838 to the nearest integer? 16 What is 752 to the power of 1/10, to the nearest integer? 2 What is 32213 to the power of 1/5, to the nearest integer? 8 What is the ninth root of 2479 to the nearest integer? 2 What is the seventh root of 22376 to the nearest integer? 4 What is the cube root of 55258 to the nearest integer? 38 What is 1110 to the power of 1/8, to the nearest integer? 2 What is the ninth root of 68161 to the nearest integer? 3 What is the sixth root of 30555 to the nearest integer? 6 What is 23649 to the power of 1/2, to the nearest integer? 154 What is 17205 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 1549 to the nearest integer? 6 What is the tenth root of 12013 to the nearest integer? 3 What is the cube root of 2455 to the nearest integer? 13 What is the eighth root of 10509 to the nearest integer? 3 What is the square root of 17493 to the nearest integer? 132 What is 7697 to the power of 1/3, to the nearest integer? 20 What is the tenth root of 138 to the nearest integer? 2 What is the sixth root of 15389 to the nearest integer? 5 What is 3160 to the power of 1/2, to the nearest integer? 56 What is 1651 to the power of 1/2, to the nearest integer? 41 What is the square root of 465 to the nearest integer? 22 What is the third root of 6189 to the nearest integer? 18 What is the third root of 53510 to the nearest integer? 38 What is the cube root of 480 to the nearest integer? 8 What is 16246 to the power of 1/5, to the nearest integer? 7 What is the third root of 11317 to the nearest integer? 22 What is the cube root of 85331 to the nearest integer? 44 What is 231 to the power of 1/5, to the nearest integer? 3 What is 2298 to the power of 1/2, to the nearest integer? 48 What is 10058 to the power of 1/10, to the nearest integer? 3 What is the third root of 1181 to the nearest integer? 11 What is the seventh root of 17339 to the nearest integer? 4 What is the fifth root of 5197 to the nearest integer? 6 What is the square root of 9934 to the nearest integer? 100 What is the square root of 1325 to the nearest integer? 36 What is the seventh root of 5695 to the nearest integer? 3 What is the third root of 4232 to the nearest integer? 16 What is 1544 to the power of 1/3, to the nearest integer? 12 What is 527 to the power of 1/2, to the nearest integer? 23 What is the square root of 806 to the nearest integer? 28 What is the cube root of 4292 to the nearest integer? 16 What is 5655 to the power of 1/2, to the nearest integer? 75 What is the square root of 1013 to the nearest integer? 32 What is 6888 to the power of 1/3, to the nearest integer? 19 What is 770 to the power of 1/9, to the nearest integer? 2 What is 1082 to the power of 1/2, to the nearest integer? 33 What is the fifth root of 2697 to the nearest integer? 5 What is the third root of 15245 to the nearest integer? 25 What is 2434 to the power of 1/5, to the nearest integer? 5 What is the cube root of 124 to the nearest integer? 5 What is 332 to the power of 1/2, to the nearest integer? 18 What is the square root of 28708 to the nearest integer? 169 What is 6211 to the power of 1/3, to the nearest integer? 18 What is the cube root of 2517 to the nearest integer? 14 What is 5302 to the power of 1/5, to the nearest integer? 6 What is the seventh root of 40660 to the nearest integer? 5 What is 17795 to the power of 1/2, to the nearest integer? 133 What is 29263 to the power of 1/2, to the nearest integer? 171 What is the square root of 28157 to the nearest integer? 168 What is the third root of 1297 to the nearest integer? 11 What is the cube root of 145361 to the nearest integer? 53 What is the cube r
{ "pile_set_name": "DM Mathematics" }
= 14*g - 25. Calculate -2*m(t) + 3*y(t). 11*t - 10 Let t(s) = -11*s**3 + 14*s**2 + 8851*s - 7. Let a(v) = 6*v**3 - 8*v**2 - 4424*v + 4. Give -7*a(f) - 4*t(f). 2*f**3 - 4436*f Let z(k) = 1414*k - 15. Let x(o) = 2826*o - 27. Calculate 5*x(g) - 9*z(g). 1404*g Let y(p) = -85*p**2 - 125*p + 41. Let k(f) = 30*f**2 + 42*f - 15. Give 8*k(b) + 3*y(b). -15*b**2 - 39*b + 3 Let h(t) = 5*t**2 + 5*t**2 - 3*t**2 + 5 - 4*t**2 + 725*t - 727*t. Let p(l) = -3*l**2 + 2*l - 6. Calculate 5*h(c) + 4*p(c). 3*c**2 - 2*c + 1 Let f(n) = -325*n + 8. Let k(c) = 960*c - 23. Determine 17*f(w) + 6*k(w). 235*w - 2 Let n be 10/165 - 489/(-99). Let p(h) be the first derivative of 2*h**3/3 - 3*h**2/2 - 8*h - 1. Let y(a) = -2*a**2 + 2*a + 7. Give n*y(i) + 4*p(i). -2*i**2 - 2*i + 3 Let v(m) = -3*m**3 + 29*m**2 - 18*m + 12. Let p(s) = 2*s**3 - 28*s**2 + 16*s - 9. What is 4*p(g) + 3*v(g)? -g**3 - 25*g**2 + 10*g Let y(j) = -j**3 - 2*j. Let i(w) = -w + 1. Let z(g) = -i(g) + y(g). Let t(f) = -f**2 - 6*f - 7. Let b = -403788 - -403789. Calculate b*t(m) - 6*z(m). 6*m**3 - m**2 - 1 Let n(u) = -323*u - 1287. Let v(a) = 452*a + 1819. Give 17*n(c) + 12*v(c). -67*c - 51 Let n(x) = 135*x**2 - 17*x - 28. Let r(g) = 7*g**2 - g - 3. Give 2*n(d) - 18*r(d). 144*d**2 - 16*d - 2 Let p(i) = 3*i**3 - 2*i**2 + 2*i + 1. Let v(s) = 76*s**3 + 4*s**2 - 4*s - 8. Give 2*p(l) + v(l). 82*l**3 - 6 Let g(w) = 9291346*w - 7985. Let m(u) = 4655*u - 4. What is -4*g(h) + 7985*m(h)? 4791*h Let d(h) = -46*h - 3. Let z(l) = -99*l - 143. Let v(n) = 49*n + 58. Let j(w) = 5*v(w) + 2*z(w). Determine 4*d(a) + 3*j(a). -43*a Suppose 188 = -21*i - 43. Let o = i + 13. Let w(p) = 1. Let t(v) be the first derivative of -v**2 - v + 1. Give o*w(f) + t(f). -2*f + 1 Let s(g) be the first derivative of 3*g**4/4 - 8*g**3/3 + 3*g**2 - 3*g + 7020. Let p(d) = -d**2 + d. Calculate 5*p(f) - s(f). -3*f**3 + 3*f**2 - f + 3 Let b(h) = -7860*h - 145. Let w(v) = -3931*v - 62. What is -3*b(q) + 7*w(q)? -3937*q + 1 Let f(b) be the first derivative of -b**4/2 + 4*b**3/3 - b + 1382. Let o(d) = 2*d**3 - 5*d**2 + 1. Determine -7*f(c) - 6*o(c). 2*c**3 + 2*c**2 + 1 Let y(k) be the second derivative of -k**3/2 + 3*k**2/2 + 2232*k. Let i(w) = -4*w + 3. Calculate -4*i(b) + 5*y(b). b + 3 Let r(f) = -9*f**3 - 6*f**2 + 6*f + 3. Suppose 222*x - 195*x = 162. Let h(o) = 19*o**3 + 13*o**2 - 13*o - 6. What is x*h(a) + 13*r(a)? -3*a**3 + 3 Let v(q) = -3*q**2 + q + 7. Let f(j) = 14*j**2 - 5*j - 35. Calculate -2*f(o) - 11*v(o). 5*o**2 - o - 7 Let h(y) = -9*y**2 + 4*y - 6. Let c = 20882 - 20888. Let p(q) = 9*q**2 - 5*q + 6. Determine c*p(f) - 7*h(f). 9*f**2 + 2*f + 6 Let a(r) = 39*r**3 + 8*r**2 + 8*r + 8. Let b(p) = 13*p**3 + 3*p**2 + 3*p + 3. Let i = 9678 + -9675. What is i*a(h) - 8*b(h)? 13*h**3 Let j(p) = -8377*p**2 + 25126*p**2 - 8376*p**2 - 3 + 4*p - 8378*p**2. Let b(x) = x**2 - x + 1. What is -2*b(y) - j(y)? 3*y**2 - 2*y + 1 Let w(z) = 1054*z**3 - 2*z**2 - 9*z - 5. Let c(y) = -1580*y**3 + 3*y**2 + 13*y + 7. Give -5*c(x) - 7*w(x). 522*x**3 - x**2 - 2*x Let f(r) = -11*r + 8574. Let y(o) = -7*o + 5715. Give 5*f(u) - 8*y(u). u - 2850 Let s(a) = -1 + a + 0*a - 2*a**2 - 2*a. Let r(w) = 1042*w + 1 + 855*w - 2935*w - 1 + 1039*w. Calculate -r(o) - s(o). 2*o**2 + 1 Let l be -3*(-4 - (-14)/(-21)). Let j(b) = -2*b - 10. Let d(z) = 5*z + 20. Calculate l*j(t) + 6*d(t). 2*t - 20 Let g be (5/2 - 3) + 18/4. Let l(r) = -6*r - 1. Let y(m) = 2*m - 9. Let c(h) = 2*h + 5. Let q(k) = -4*c(k) - 2*y(k). Calculate g*q(b) - 9*l(b). 6*b + 1 Let b(z) be the first derivative of 9*z**4/4 - 11*z**3/3 - 31*z**2/2 + 26*z - 9736. Let x(f) = -2*f**3 + 2*f**2 + 6*f - 5. What is 2*b(c) + 11*x(c)? -4*c**3 + 4*c - 3 Let m(p) = 5*p. Let r = -1171 - -1167. Let w(l) = 21*l. Let q be 0 - (-1 - (16 + -2)). Calculate q*m(k) + r*w(k). -9*k Let m(b) = 214*b**2 + 3*b - 208. Let z(u) = -43*u**2 - u + 1. Give -m(k) - 5*z(k). k**2 + 2*k + 203 Let s(o) = -6*o**3 - 6*o**2 + 52*o - 5. Let k(x) = -4*x**3 - 4*x**2 + 35*x - 3. Let p = 19807 + -19815. Calculate p*k(t) + 5*s(t). 2*t**3 + 2*t**2 - 20*t - 1 Let h(a) = -29*a**3 - 9*a**2 + 41. Let o(t) = 4*t**3 + t**2 - 2. Calculate 2*h(b) + 18*o(b). 14*b**3 + 46 Suppose -14*l + 1680 = -l + 67*l. Let o(h) = 35*h**3 + 21*h**2. Let d(i) = -7*i**3 - 4*i**2. Let a be (-1)/3 - (-26)/6. What is a*o(q) + l*d(q)? -7*q**3 Let g = -266 - -319. Let d(p) = -2*p**3 - 2*p - 13*p**2 - g*p**2 + 68*p**2. Let c(j) = 8*j**3 - 9*j**2 + 9*j. Give 2*c(f) + 9*d(f). -2*f**3 Let v(f) = -5*f**2 - f - 3. Suppose 0 = -131*y + 19 - 150. Let b(a) = -a**2 - a. Calculate y*v(t) + 2*b(t). 3*t**2 - t + 3 Let v(s) = -1. Let y(k) = 2*k - 31. Let q = -2630 - -2631. Determine q*y(p) - 6*v(p). 2*p - 25 Let y(d) = 3*d**3 + 3*d**2 - 7*d + 8. Let k(n) = 2*n**3 + 0 + 3*n - n**2 - 4 - 3*n**3. Let h = 40362 + -40369. Give h*k(u) - 3*y(u). -2*u**3 - 2*u**2 + 4 Let o = -13 - -16. Let i(t) = -5*t**3 + t**3 + 3*t**2 + 3*t**o. Let f(w) = -3*w**3 + 8*w**2. Suppose 21*s + 24 = 18*s. Calculate s*i(l) + 3*f(l). -l**3 Let a(u) = 13*u**3 - 6*u**2 + 61*u - 7. Let x(k) = -15*k**3 + 8*k**2 - 57*k + 9. Calculate -5*a(i) - 4*x(i). -5*i**3 - 2*i**2 - 77*i - 1 Let c(k) = 10*k**2 + 7*k. Let x(w) = -3*w**2 - 2*w. Let j(a) be the second derivative of 3*a**3/2 + 26*a**2 - 179*a. Let g be j(-6). What is g*c(r) - 7*x(r)? r**2 Let b(j) = -j**2 - j + 4. Let h(z) = -5*z**2 - 5*z + 19. Let k(n) = 29*b(n) - 6*h(n). Let w(o) = -o**2 - o - 3. Calculate -7*k(m) - 5*w(m). -2*m**2 - 2*m + 1 Let m(h) = h**3 - h**2. Let g(i) = 14*i**3 - 7*i**2. Suppose t - 89*l + 87*l + 18 = 0, l = -5*t - 68. Give t*m(a) + 2*g(a). 14*a**3 Let a(s) = -4*s - 6. Suppose 5*p = 48 + 32. Suppose 0 = 6*t + 16*t - 594. Let c(l) = 5 - t*l + p*l + 15*l. Determine 5*a(w) + 6*c(w). 4*w Let u = 6112 - 6107. Let k(y) = 2*y + 32. Let c(d) = -2*d - 31. Give u*c(r) + 4*k(r). -2*r - 27 Let m = 540 + -537. Let h(k) = -96*k**2 + 1 + 2*k**3 - 2*k + 97*k**2 + 4*k - k**m. Let p(v) = -v + 0 + 1 + 2*v. Give 2*h(r) - 4*p(r). 2*r**3 + 2*r**2 - 2 Let h(n) = n**2 + n + 3. Let q be (-448)/(-320) - 12/30. Suppose 5 = r - 2*a + 1, -4*r + 2*a = -10. Let j(c) = -c - 1. Give q*h(x) + r*j(x). x**2 - x + 1 Let l(h) = -8*h**2 - 11*h + 17. Let v(r) = 443*r**2 - 447*r**2 + 5 + 29*r - 34*r + 1 + 2. Determine 6*l(q) - 13*v(q). 4*q**2 - q - 2 Let g(o) = -34*o**2 + 5*o - 5. Let u(m) = -m**2 + m - 1. Let j(c) = -c**3 + 13*c**2 - 8*c + 109. Let s be j(13). Determine s*u(h) - g(h). 29*h**2 Let m(d) = -24*d - 10. Let n(i) = 26*i + 8. What is 4*m(g) + 3*n(g)? -18*g - 16 Let x(y) = -5*y - 42*y**3 - 303066*y**2 - 9 + 303066*y**2. Let n(f) = 21*f**3 + 3*f + 5. Give -5*n(a) - 3*x(a). 21*a**3 + 2 Let m(i) = 16*i**2 + 14*i + 2. Let k(t) = -33*t**2 - 27*t - 6. Give 2*k(n) + 5*m(n). 14*n**2 + 16*n - 2 Let i(b) = -225*b - 69. Let x(t) = -t + 12. Calculate i(y) + 6*x(y). -231*y + 3 Let s(r) = 19*r**3 - 18*r**2 - r - 2. Let p(h) = 94*h**3 - 99*h**2 - 4*h - 10. Calculate -2*p(o) + 11*s(o). 21*o**3 - 3*o - 2 Let p(m) = 6 + 131*m - 5 - 45*m - 48*m - 36*m. Let j(r) = -2*r - 1. Suppose 4*l = 5*l. Suppose l*t - 3*k = -3*t + 6, -4 = -4*k. Give t*p(y) + 2*j(y). 2*y + 1 Let g(m) = m**3 - 3*m**2 - 3. Let w(p) = -4*p**3 + 11*p**2 - 33*p + 27. Determine -3*g(i) - w(i). i**3 - 2*i**2 + 33*i - 18 Suppose 684 = 4*a + 3*x, -4*a + 4*x = 2*x - 704. Let f = a - 169. Let k(w) = -3*w**3 - 5*w**2 - 6. Let n(p) = p**2 + 1. Calculate f*n(r) + k(r). -3*r**3 - 1 Let l(u) = 4*u**2 + 6*u. Let v(m) = -1 + 5*m - 20495*m**2 + 10254*m**2 + 10244*m**2. What is -5*l(p) + 6*v(p)? -2*p**2 - 6 Let n(g) = -1083*g**2 - 13*g - 2. Let p(z) = -2165*z**2 - 21*z - 4. Determine -5*n(w) + 3*p(w). -1080*w**2 + 2*w - 2 Let k(j) = 47*j**2 - 186*j + 13. Let x(w) = 16*w**2 - 53*w + 4. Give -2*k(b) + 7*x(b). 18*b**2 + b + 2 Let u(a) = 2*a**2 + 10*a + 58. Let q(j) = -15. Let z(r) = 4*q(r) + u(r). Let v(s) = -2*s**2 - 9*s + 2. Determine 5*v(n) + 4*z(n). -2*n**2 - 5*n + 2 Let s(w) = -w**2 + 485*w + 2952. Let j be s(-6). Let i(o) = -24*o + 6. Let p(l) = -48*l + 13. What is j*p(u) - 13*i(u)? 24*u Let c(x) = 3*x**3 - x**2 - 22*x + 1. Let z(a) = 4*a**3 - a**2 - 22*a + 1. Give -3*c(w) + 2*z(w). -w**3 + w**2 + 22*w - 1 Let u(b) = 724*b - 9. Let h(q) = -1482*q + 16. Determine -6*h(m) - 11*u(m). 928*m + 3 Let k(t) be the first derivative of t**3/3 - t**2/2 + t - 265. Let d(x) = 5*x**2 -
{ "pile_set_name": "DM Mathematics" }
((-40)/(-230)) - (2 - -8)? 3/25 Evaluate 81 + 7704/(-96) + (-35)/10. -11/4 Evaluate (1 + 1)/((-20)/(-40)) - (-152 - -92). 64 141 + (55734480/(-4200))/94 -6/35 Evaluate (-17 - (-208)/12)*(-861)/(-7). 41 Calculate 12/(-3) + 30*(-1014)/(-9360). -3/4 Calculate (16/(-9) - 10/(-5))/(254/(-1905)). -5/3 Evaluate (-87)/(-3) + (-244 - -123 - -84). -8 What is (-26334122)/752898 + 2/(-87)? -35 Evaluate (-6)/4*(2301/(-143) - -13 - -3). 3/22 (2 + (-230)/160)/(10431/(-732)) -3/76 What is the value of 2/93*-3 - (427440/14105)/137? -2/7 What is the value of (-3222)/(-3938) + 2/(44/334)? 16 Evaluate 104*(((-351)/72)/(-39))/1. 13 What is the value of (112/66)/(0 + 17/1 - (-179291)/(-10977))? 28/11 What is 606/(-28)*2 + (-926)/463*(-2)/14? -43 (1160 + -1137)*(-4)/(-2) 46 Evaluate (-93)/(-558)*(16/(-15))/((-16)/(-200)). -20/9 What is the value of (-102)/(25 + (-1728)/64)? 51 Evaluate ((3 - 1158/390)/((-8)/10))/(2 + 0). -1/52 (1/1)/((4/(-159))/((-968)/(-726))) -53 Evaluate 1865/(-21) + (-241)/((-232806)/(-184)). -89 ((-45175)/(-1390))/((-13)/(-16)) 40 Evaluate (-10 - (-19 - (-3819)/95))*(-45)/27. 52 Calculate (2/8)/(1926/(-102720)). -40/3 Evaluate -17*((-980)/5270)/49 - (-143)/186. 5/6 What is the value of -13 - (27 - 7) - 44/(-33)*60/8? -23 What is -48 + 28 + (-1568)/(-77) + (-918)/2585? 2/235 (-283 + 293)*-18*8/(-100) + -15 -3/5 What is (-182)/13*273/1365? -14/5 What is 38/1634 + (-6740)/3225 - -2? -1/15 What is the value of (60 - 496/186) + -10*(-1)/(-3)? 54 What is the value of ((62 + -44)*(-4)/((-56)/6))/(57/266)? 36 Evaluate (202/3737 - 1428/(-2331))/(2/732*4). 61 Calculate (((-6)/(-28))/(-3))/((2/(-234))/((-6790)/(-30555))). 13/7 What is the value of ((-108)/(-81))/((-692)/(-173))? 1/3 (-496)/(-120) - 4775/1146 -1/30 What is the value of 1/(-4)*248/(-1612)? 1/26 (-11691)/2598 + 5414/1140 + 3/45 6/19 Evaluate -7 + 0 + (26 - (-18 + 81)). -44 What is the value of 58 - 2806/(8 - -38)? -3 ((-2)/25)/((-546)/520*176/66) 1/35 Evaluate (-728)/20 - (13485/(-775) - (-15 + -2)). -36 354/(-767) - (-126)/(-168)*15280/(-156) 73 What is the value of (-20350)/2960 + (7 - 1)? -7/8 What is (-420)/90*351/91? -18 Evaluate 1*-15*(-649)/7139*(-22)/(-3). 10 What is the value of ((-175)/28 - 11)/(((-2132)/(-32))/(-13) + 4)? 46/3 What is 1/(-2) - 3516/2637? -11/6 What is ((-10)/(-8))/((-1)/2)*(-12)/(-1275)? -2/85 What is the value of (((-105)/147)/(7/14))/((-15)/630)? 60 ((-328)/66)/(-110 + (-780020)/(-7095)) 82 Calculate (11/(-55))/((-33)/10) - 2155/990*6. -13 Evaluate (-395 + 357)*(-1 - 2)*1/(-6). -19 Evaluate (-4)/5*(-460305)/30108 - (7 - -2*1). 42/13 What is the value of ((-3)/12 + 28/96)/((-89)/356)? -1/6 What is (-9516)/(-1586) - (-4)/(-52)*84? -6/13 What is the value of 128 - (-16)/((-1904)/12733)? 21 Evaluate (24/18 + -1)/(262/(-14934)). -19 What is the value of (-1)/(-5) - (1/3)/((-60)/(-4176))? -23 What is the value of -23*(-54)/(-15525) + 390/1750 + 2/(-6)? -4/21 (-7 + 320/50)/((23903/615)/53) -9/11 What is (24 - (-5448)/(-216))*(1 - (-65)/(-55))? 2/9 Calculate (4/(-18) - 253/198)/(18 + 952/112). -3/53 What is the value of ((-2)/154)/((-3920)/320 - -10 - 14/(-8))? 2/77 What is (-66)/22*((-14)/7 - -23)? -63 What is the value of (41568/(-3897))/(2/6)? -32 Evaluate ((-6)/(-21)*2)/((-4)/(-18)*46224/(-336)). -2/107 Evaluate 3*((-620)/120)/(-1 - 6/(-8)). 62 What is ((-79)/(-3))/(22701/(-68103))? -79 Evaluate (3/6 - 0)*115/((-13110)/(-14136)). 62 Evaluate ((162 + 18)/12 - 12) + (-1)/2*10. -2 (-32)/(-5) + ((-370)/(-30) + -12)/(2/(-54)) -13/5 Evaluate ((-17 - -18) + (1 - 32))/((-91)/(2184/(-36))). -20 4 - (-2 + 63) - ((-177)/33 - 664/(-1826)) -52 What is the value of ((-300)/(-54))/((2 - 0)*(-4)/72)? -50 ((-2388)/1791 - (-644)/384)*12 33/8 Calculate ((-1)/3)/((-4564)/889980). 65 ((-15)/1 - (20 - (93 + -64))) + 67 61 (128/(-264))/((-626)/3443) 8/3 Evaluate (-572)/(-3146)*231/(-2). -21 Calculate 2/(-72) + 81125/(-1980) + 2. -39 What is (-19)/18 - 511*76/(-11096)? 22/9 (261/39 - 9)*3939/(-505) 18 What is the value of (-20)/(-22) + (-219)/(-1168) + 16646/(-1056)? -44/3 Calculate (-570)/57 + (-420)/14. -40 What is the value of 27 + (-200)/(-150) + 20/(-6)? 25 (-1)/(-4)*(-1)/((-113)/(-904))*(-1 - -33) -64 Calculate ((-1210606)/17385 - -69) + 6/171. -3/5 What is 4/246 + 301/(4553829/968010)? 64 What is the value of ((-48)/792)/(9 - 320/30)? 2/55 What is ((-24)/(-15) - 2) + ((-3144)/(-60) - -5 - 19)? 38 What is 3*108/(-1064) + (-228)/4332? -5/14 What is -221 + 219 - ((-6)/7)/(98/228)? -2/343 What is 112/(862 + 146) + (-1)/63? 2/21 What is the value of 103 + -32 + 20/5? 75 What is the value of (65 - 13640/160)/((-35)/(-56) - 1)? 54 ((-11)/(4356/(-3588)) - (-38)/(-627))*(19 + -2) 153 Calculate (-75)/(-20) - (1647/(-108) - -18). 1 561/2618*2/(-6)*3 -3/14 What is (-76)/(-95) - ((-34)/663)/(10/(-426))? -18/13 Calculate (14/(-38))/((-13107)/4731627). 133 What is (-1205)/35 - 33*232/13398? -35 Evaluate 6 - (1 - -6*(-664)/432 - (-4)/18). 14 Calculate (38 + 8626/(-228))*104/12*(-9)/8. -13/8 Evaluate 3*((-279)/(-1980) - (198/(-40) + 5)). 3/11 Evaluate (-4762)/(-2502) - 7524/522918. 17/9 What is (1 + (-308)/288)*(-116)/435? 1/54 What is the value of 24145/(-473) + 666/4773*2/6? -51 ((26 - -40)*-1)/(-3 - -1) 33 Calculate (374/(-340))/((-3)/(-30)). -11 Calculate 101/((-5959)/1593) + 1084/40. 1/10 What is the value of (-20979)/(-126) + -63 - (3 + 2)*(-18)/(-60)? 102 Evaluate 27/15 + (-44)/(-330) + 18/(-30). 4/3 Evaluate -617 + 665 + (1 - 0) + 1. 50 Evaluate 5/((-147)/(-306) - 1/3). 34 What is (-21)/78*28 - 32*(165/60 + -3)? 6/13 Calculate (-200)/(-220) + (-21158)/(-781). 28 (19/(-12) + (-2)/8*-1)*66345/(-154805) 4/7 What is the value of 25/10*528/165 - 10/((-3)/(-3))? -2 (-8)/(-38)*4727158/(-45128) + 1*23 18/19 58 - ((-31045)/(-455) - -2) - (-1 + -11) -3/13 What is the value of (-7170)/5019*6650/125? -76 What is 18750/(-125)*(-12)/(-30)*9/18? -30 Calculate (17/(-1105)*-13 + 49/(-70))/((-2)/(-536)). -134 Calculate ((-33)/77 - 130/(-140))*62. 31 -69 - -56*(-1258)/(-518) 67 What is (-154)/55*(1890/84 - (-2 + 12))? -35 What is (4/12)/((-432)/(-9720))*32/(-66)? -40/11 What is -8 - -4 - (-10 - (-7110)/1215)? 4/27 ((-5)/3 - 0)*(-27709)/9836695 1/213 What is the value of (-72)/10944*-38 + (-1)/4? 0 Evaluate (-155)/80 + 2 - ((-2)/(-96))/((-22)/66). 1/8 (-21)/(-5733)*-13 - 495/(-189) 18/7 What is the value of (-236)/10 - (-314)/((-7850)/(-375))? -43/5 What is (1050/110 - 9) + (6/(-2) - 4543/121)? -40 What is the value of 8 + -15 + -8 - (5 + -60 + 16)? 24 Calculate (-680)/(-408)*(-297)/(-55). 9 Evaluate 12 - ((-15)/(-9))/(6070/256761). -117/2 What is ((-169250)/(-1125) + -150)*9/(-78)? -2/39 ((-4)/(19/(1995/28)) + 4)/(-1) 11 Calculate (2/15)/(80/13800). 23 Evaluate ((4 - (-50)/12)*60/(-525))/((-10)/15). 7/5 What is -178 + 260 + 17985/(-220)? 1/4 Calculate (-342)/570*(-25)/21 - 100/(-7). 15 8253/1188 + -7 + 32/880*-10 -5/12 What is (2 + -127)/5*(-184 + 175)*(-2)/15? -30 What is 718 + -624 + -3*18? 40 What is the value of (7 - -1)*(97/(-52) + (-4676)/(-2672))? -12/13 Calculate (-24 - -7*442/130)*(10/(-128) + 0). 1/64 What is the value of (-80478)/731 - (-208 - -98)? -4/43 Evaluate 16*(1 + 27/(-18)) + (-156)/(-20). -1/5 What is 0 - (-18 - -64) - (1 - 17)? -30 Evaluate 30/(3 - 8) - (16 - 9 - (-13 - 6)). -32 Evaluate 15785/(-410)*(-2 + -1 - (-95)/35). 11 Evaluate (3 + -2)/((-1)/(-29)) + ((-2520)/(-56) - 56). 18 What is the value of 4/(-234) - 184544/1195740? -6/35 (2150/129)/((13 - 43)/(-6)) 10/3 What is the value of -6 + (-396)/(-440)*(-75)/(-18)? -9/4 Evaluate (-21*(-12)/(-90))/(4608/(-14040) + 6/13). -21 What is the value of (-7110)/135*(-1)/(-544) + (-52)/(-442)? 1/48 (-67 + (-81075)/(-1125))/((-4)/(-30)) 38 What is 21 + -3*((-124)/32)/((-185)/(-1480))? 114 What is the value of (77 + -17)*((27/2)/9 + (-5)/6)? 40 What is (-16)/6*((-9)/138)/((-41)/1763*-43)? 4/23 ((-120)/(-11220))/(32/(-352)) -2/17 What is ((-2987)/(-103))/(2/28*(-154)/44)? -116 What is the value of (7291/322 + (12 - 29) - 5) + -1? -5/14 988/(-3640) - (-9)/(-30) - 1026/(-105) 46/5 Evaluate ((-1)/((-15)/(-300)) + 19)/(1/(-17)). 17 Evaluate (45185/(-900) - 28/630) + 18*(-7)/(-56). -48 ((-28)/(-42))/(48/45)*(-18)/(-225) 1/20 What is (126/(-60))/((-7860)/5240)? 7/5 -40*((-4654)/(-130) + -37) 48 What is (361 - 209)/((-32)/15 + (2 - 28/15))? -76 What
{ "pile_set_name": "DM Mathematics" }
gto. 1/110 Four letters picked without replacement from eurlerrjeerlrebb. Give prob of picking 2 l and 2 e. 1/182 What is prob of picking 2 r when two letters picked without replacement from {v: 1, r: 3, m: 1}? 3/10 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {z: 1, j: 2, w: 7, b: 2, u: 4}. 7/60 Calculate prob of picking 3 h and 1 o when four letters picked without replacement from hhhhhuhhohohohhoohuh. 286/969 What is prob of picking 3 u and 1 p when four letters picked without replacement from puuuuuppuupuuuuuupp? 143/323 What is prob of picking 2 p when two letters picked without replacement from qqypqpypyydyp? 1/13 Two letters picked without replacement from coucdssa. What is prob of picking 1 o and 1 c? 1/14 What is prob of picking 1 a and 2 f when three letters picked without replacement from {f: 3, s: 2, a: 1, q: 3, e: 1}? 1/40 What is prob of picking 1 u, 1 n, and 1 l when three letters picked without replacement from {n: 1, u: 1, r: 3, p: 1, z: 3, l: 2}? 2/165 What is prob of picking 2 n, 1 x, and 1 p when four letters picked without replacement from {p: 1, x: 3, n: 3}? 9/35 Four letters picked without replacement from {w: 6, g: 4}. What is prob of picking 4 g? 1/210 Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 1, g: 1, v: 8, j: 6}. 1/20 Three letters picked without replacement from {k: 2, v: 2}. Give prob of picking 1 v and 2 k. 1/2 What is prob of picking 1 m and 1 z when two letters picked without replacement from {m: 4, u: 6, z: 2}? 4/33 What is prob of picking 3 t when three letters picked without replacement from eiitmufiftttff? 1/91 Three letters picked without replacement from tptrgprgprrteprr. Give prob of picking 3 t. 1/560 Calculate prob of picking 1 j and 2 d when three letters picked without replacement from djjjdddddjdeddjdd. 55/136 Three letters picked without replacement from zwkzzmzwzkwzzdmzmzz. Give prob of picking 1 m, 1 w, and 1 z. 30/323 What is prob of picking 2 l and 2 o when four letters picked without replacement from lolllllllllllllllloo? 8/95 Four letters picked without replacement from uhuhuhuuuhuuuh. Give prob of picking 4 u. 18/143 What is prob of picking 1 a, 1 w, and 1 q when three letters picked without replacement from {a: 2, q: 1, l: 1, w: 1}? 1/5 What is prob of picking 2 o and 1 s when three letters picked without replacement from {s: 2, o: 2, g: 7}? 2/165 Four letters picked without replacement from xnknxxxlnn. What is prob of picking 3 x and 1 k? 2/105 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 11, w: 5}. 11/24 Two letters picked without replacement from bblhk. Give prob of picking 1 l and 1 h. 1/10 Two letters picked without replacement from {q: 4, d: 2, j: 2}. Give prob of picking 2 j. 1/28 Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vyjjjvpyny. 2/45 Two letters picked without replacement from gzzzrgoromggozgzz. Give prob of picking 2 o. 3/136 Two letters picked without replacement from jjwqjawwjq. Give prob of picking 1 a and 1 q. 2/45 What is prob of picking 2 t when two letters picked without replacement from orrnrrrernwtrr? 0 Two letters picked without replacement from {g: 3, a: 5}. Give prob of picking 1 g and 1 a. 15/28 Two letters picked without replacement from {a: 5, v: 3, i: 5}. Give prob of picking 1 v and 1 a. 5/26 Four letters picked without replacement from {h: 4, k: 4, s: 1, d: 1}. What is prob of picking 2 h and 2 k? 6/35 Two letters picked without replacement from rosrkkkskrsk. Give prob of picking 1 s and 1 k. 5/22 Three letters picked without replacement from pspspppssssss. What is prob of picking 2 p and 1 s? 40/143 Three letters picked without replacement from ftjlzflk. Give prob of picking 1 j, 1 f, and 1 k. 1/28 Two letters picked without replacement from {h: 1, p: 1, q: 3}. Give prob of picking 1 h and 1 q. 3/10 Three letters picked without replacement from {i: 2, y: 1, w: 2, u: 1, b: 1}. Give prob of picking 1 u and 2 w. 1/35 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {g: 5, l: 2, s: 1, i: 6, x: 2}. 1/24 Calculate prob of picking 2 n and 2 z when four letters picked without replacement from nznznznnnz. 3/7 Two letters picked without replacement from ddpdjdpdppdddddddddp. What is prob of picking 1 p and 1 d? 7/19 Four letters picked without replacement from {u: 15, m: 5}. Give prob of picking 2 m and 2 u. 70/323 What is prob of picking 2 z, 1 g, and 1 u when four letters picked without replacement from {z: 2, m: 1, u: 1, g: 4, f: 1, w: 3}? 4/495 Four letters picked without replacement from bcbbbcbkbkcbbc. What is prob of picking 1 k and 3 b? 16/143 Four letters picked without replacement from iiiiixiiiiiiiiiiii. What is prob of picking 3 i and 1 x? 2/9 Two letters picked without replacement from nrernknjrdnrejrrddj. What is prob of picking 2 k? 0 Three letters picked without replacement from {k: 6, l: 4}. Give prob of picking 3 k. 1/6 What is prob of picking 1 i and 1 y when two letters picked without replacement from ifxyo? 1/10 What is prob of picking 1 m and 1 u when two letters picked without replacement from muf? 1/3 Three letters picked without replacement from {g: 6, v: 1, b: 3, s: 2, u: 2}. What is prob of picking 1 v and 2 g? 15/364 Three letters picked without replacement from ossoooooooso. What is prob of picking 3 o? 21/55 Two letters picked without replacement from fdddndzlflfddlfdz. Give prob of picking 1 l and 1 n. 3/136 Calculate prob of picking 1 l, 1 n, and 1 w when three letters picked without replacement from {n: 1, f: 6, w: 1, l: 1, v: 1, y: 1}. 1/165 Calculate prob of picking 2 i and 1 w when three letters picked without replacement from wwiwwi. 1/5 Calculate prob of picking 2 v when two letters picked without replacement from {c: 1, p: 2, f: 1, i: 1, l: 3, v: 3}. 3/55 Calculate prob of picking 2 u when two letters picked without replacement from ssddduud. 1/28 Two letters picked without replacement from udkyugdyuuyuydylu. What is prob of picking 1 d and 1 u? 9/68 Calculate prob of picking 3 u and 1 f when four letters picked without replacement from ffyfuuu. 3/35 What is prob of picking 1 f and 2 o when three letters picked without replacement from bbbofbbooo? 1/20 Calculate prob of picking 2 e and 1 n when three letters picked without replacement from enneseseeenneeei. 9/35 Two letters picked without replacement from tvhhv. Give prob of picking 1 t and 1 h. 1/5 Three letters picked without replacement from uuiiiiiuui. Give prob of picking 1 i and 2 u. 3/10 Calculate prob of picking 1 w and 1 a when two letters picked without replacement from fvysfvvyvfyafaayw. 3/136 What is prob of picking 1 s and 1 h when two letters picked without replacement from shcchcshcc? 2/15 Calculate prob of picking 4 e when four letters picked without replacement from oeooeoooeoee. 1/99 Calculate prob of picking 1 g, 1 w, and 2 r when four letters picked without replacement from {g: 2, w: 1, u: 4, s: 1, r: 3, v: 1}. 2/165 Calculate prob of picking 2 w when two letters picked without replacement from {w: 14, i: 4}. 91/153 Calculate prob of picking 1 e, 1 q, and 2 p when four letters picked without replacement from {q: 1, z: 5, e: 1, p: 5, g: 3}. 2/273 Two letters picked without replacement from {f: 1, x: 1, k: 2}. What is prob of picking 1 f and 1 x? 1/6 Calculate prob of picking 1 x, 1 d, and 2 l when four letters picked without replacement from {g: 1, d: 1, l: 5, x: 4}. 4/33 Calculate prob of picking 1 z, 1 h, and 1 j when three letters picked without replacement from {z: 11, h: 1, g: 1, j: 1, i: 2}. 11/560 Two letters picked without replacement from axlplappblj. What is prob of picking 1 l and 1 p? 9/55 Three letters picked without replacement from {u: 4, o: 3, t: 1}. What is prob of picking 2 u and 1 t? 3/28 Three letters picked without replacement from iwowhwhwithiihww. What is prob of picking 2 w and 1 h? 3/28 What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzz? 1 Calculate prob of picking 3 p when three letters picked without replacement from ppppppp. 1 What is prob of picking 1 b and 1 n when two letters
{ "pile_set_name": "DM Mathematics" }
sand? -3040000 What is 422977633.3 rounded to the nearest 10000? 422980000 What is -20017037.81 rounded to the nearest ten thousand? -20020000 What is -0.0102827 rounded to 1 decimal place? 0 What is -537703.1701 rounded to the nearest 10000? -540000 Round -6413.17121 to the nearest ten. -6410 Round 58555306 to the nearest ten thousand. 58560000 Round -66143771 to the nearest 100000. -66100000 What is 0.0965990226 rounded to 5 decimal places? 0.0966 What is 2839245.36 rounded to the nearest one hundred thousand? 2800000 What is 14645953.952 rounded to the nearest 100? 14646000 What is 0.00452511839 rounded to 6 dps? 0.004525 What is -0.13531096 rounded to 3 decimal places? -0.135 What is -17267407.24 rounded to the nearest 1000000? -17000000 What is 4629.12072 rounded to the nearest 10? 4630 What is 0.0000775932095 rounded to 7 dps? 0.0000776 Round 1.0854422926 to 5 dps. 1.08544 What is 0.002436636884 rounded to six decimal places? 0.002437 What is -0.065386731 rounded to 2 decimal places? -0.07 Round 328086 to the nearest 100000. 300000 What is -1.14805542 rounded to 3 decimal places? -1.148 Round 1799.7513 to the nearest one thousand. 2000 What is -6094.260037 rounded to the nearest one hundred? -6100 What is 5.851828688 rounded to one dp? 5.9 What is -209215273.5 rounded to the nearest one thousand? -209215000 Round 0.0045420267 to five decimal places. 0.00454 Round 353453.0342 to the nearest 10000. 350000 Round 0.04454337222 to 2 dps. 0.04 What is -19407.6693 rounded to the nearest 10? -19410 What is -178.8174255 rounded to 0 dps? -179 What is -6.46402745 rounded to the nearest integer? -6 What is 2611550.17 rounded to the nearest 1000? 2612000 Round 0.04767979151 to four decimal places. 0.0477 What is -2117570.48 rounded to the nearest one thousand? -2118000 What is 0.02749294346 rounded to 5 dps? 0.02749 Round 19.34348716 to 3 dps. 19.343 What is 1229.97933 rounded to the nearest ten? 1230 Round -31317869480 to the nearest one million. -31318000000 Round 14.79502045 to the nearest integer. 15 What is -1784230.2352 rounded to the nearest 100000? -1800000 What is -0.0138371607 rounded to five dps? -0.01384 Round -0.0000123270706 to 5 dps. -0.00001 What is -13.478037 rounded to the nearest integer? -13 Round -160.303429 to one decimal place. -160.3 Round -13614963750 to the nearest 1000000. -13615000000 Round 49625.01637 to the nearest 1000. 50000 Round -146537301.7 to the nearest ten thousand. -146540000 What is -0.0000064966072 rounded to six decimal places? -0.000006 What is 735.04476 rounded to the nearest ten? 740 Round -1152558.62 to the nearest 1000. -1153000 What is 69942.6877 rounded to the nearest one hundred? 69900 What is -0.00351754248 rounded to 7 dps? -0.0035175 What is -0.000008554822915 rounded to 6 dps? -0.000009 What is -0.02701975874 rounded to six decimal places? -0.02702 What is 0.00180952146 rounded to 7 dps? 0.0018095 What is -0.0278528033 rounded to 5 dps? -0.02785 Round 6.98933479 to 4 dps. 6.9893 What is -472.594858 rounded to the nearest 100? -500 What is -0.0211520346 rounded to two decimal places? -0.02 What is -1910.800383 rounded to the nearest integer? -1911 What is 28256.903 rounded to the nearest one hundred? 28300 What is -6605923.5 rounded to the nearest one thousand? -6606000 Round 739.841827 to 1 decimal place. 739.8 What is -1362443.45 rounded to the nearest 100000? -1400000 What is 0.0066947529 rounded to six decimal places? 0.006695 What is -0.0033050393 rounded to 7 decimal places? -0.003305 What is 7210.8844 rounded to 0 decimal places? 7211 Round -0.000001280983931 to seven decimal places. -0.0000013 What is 0.00003209917367 rounded to five decimal places? 0.00003 Round 7309.0435 to the nearest 10000. 10000 Round -0.0129793586 to six decimal places. -0.012979 Round 41732.3123 to the nearest 1000. 42000 What is 17.979547 rounded to the nearest one hundred? 0 What is 0.22858541 rounded to 4 decimal places? 0.2286 Round -753585.7779 to the nearest ten thousand. -750000 What is -0.0164154112 rounded to four decimal places? -0.0164 What is -6.508518 rounded to the nearest 100? 0 Round 31.3485962 to two decimal places. 31.35 What is -166480.221 rounded to the nearest one hundred? -166500 Round 0.044805134 to four dps. 0.0448 What is 62080.5382 rounded to the nearest 10? 62080 Round 1.0052915348 to five dps. 1.00529 What is 8.7818602 rounded to 3 decimal places? 8.782 Round 3574.1953 to the nearest 100. 3600 What is -325513.7315 rounded to the nearest 100000? -300000 Round 0.0001148378133 to 5 decimal places. 0.00011 Round -18892.15103 to the nearest ten. -18890 What is 14868721 rounded to the nearest 100000? 14900000 What is -16.0396976 rounded to the nearest integer? -16 Round -0.0726248673 to two dps. -0.07 Round -0.01447326687 to three dps. -0.014 Round -56.5990164 to one dp. -56.6 What is -553805.416 rounded to the nearest ten thousand? -550000 What is 46180940700 rounded to the nearest one million? 46181000000 What is -51728.9029 rounded to the nearest 10? -51730 What is 273875550 rounded to the nearest 1000000? 274000000 Round -0.0001107707682 to 6 dps. -0.000111 Round 29599.13554 to the nearest 1000. 30000 What is 0.00004794555216 rounded to 5 dps? 0.00005 What is -407.58093 rounded to zero decimal places? -408 Round -0.00000140982368 to seven dps. -0.0000014 What is -0.00001229027 rounded to five dps? -0.00001 What is 0.261374967 rounded to four dps? 0.2614 What is 0.02158413939 rounded to 3 decimal places? 0.022 Round 15145730 to the nearest ten thousand. 15150000 Round 91.51322227 to the nearest integer. 92 What is 0.085786333 rounded to four decimal places? 0.0858 Round 175700795.8 to the nearest 1000000. 176000000 What is 430958558 rounded to the nearest 1000000? 431000000 What is -344.7175 rounded to zero dps? -345 What is -1.251618702 rounded to 4 dps? -1.2516 What is 13779.6879 rounded to the nearest integer? 13780 What is 1716015.64 rounded to the nearest one hundred? 1716000 What is -0.1652529114 rounded to five dps? -0.16525 Round -76916556.1 to the nearest 1000. -76917000 Round 169875239.44 to the nearest 100000. 169900000 What is -2119294.664 rounded to the nearest ten thousand? -2120000 What is -81835.4885 rounded to the nearest 100? -81800 What is -0.0001031569638 rounded to six decimal places? -0.000103 What is 1842297300 rounded to the nearest 100000? 1842300000 Round 0.000396204227 to 5 decimal places. 0.0004 Round 1898.46853 to the nearest integer. 1898 What is 0.6898672287 rounded to 2 decimal places? 0.69 Round -9305.55641 to 0 dps. -9306 Round -0.0000007252312595 to seven decimal places. -0.0000007 Round -0.2825221526 to six dps. -0.282522 What is -118861.969 rounded to the nearest ten? -118860 Round 139953641.2 to the nearest 1000000. 140000000 What is -69443.82012 rounded to the nearest one hundred? -69400 What is -0.013996058 rounded to 4 decimal places? -0.014 Round -0.53926324 to 1 dp. -0.5 Round 0.2527485212 to two decimal places. 0.25 What is -25.5539153 rounded to one dp? -25.6 What is 0.281625047 rounded to 1 decimal place? 0.3 What is -0.0025525095 rounded to 6 decimal places? -0.002553 What is -34103.4214 rounded to the nearest one hundred? -34100 What is -0.430897592 rounded to 1 decimal place? -0.4 Round 0.0000261827478 to 6 dps. 0.000026 Round 136478.6062 to the nearest 1000. 136000 What is -15.59465813 rounded to 2 decimal places? -15.59 What is 142212.5163 rounded to the nearest 100? 142200 What is -53.4416621 rounded to one decimal place? -53.4 Round -219.4941175 to the nearest integer. -219 Round 185669.861 to the nearest one thousand. 186000 What is 0.42973405 rounded to two dps? 0.43 What is 43385.0001 rounded to the nearest ten? 43390 What is 0.000243298374 rounded to 6 decimal places? 0.000243 What is -0.00207050729 rounded to 4 dps? -0.0021 Round 22.284738 to 1 dp. 22.3 Round -495.991863 to 1 dp. -496 What is 0.95099779 rounded to 2 decimal places? 0.95 Round -0.7376233103 to 2 decimal places. -0.74 What is 0.5968596162 rounded to 2 dps? 0.6 Round 0.0783143295 to four decimal places. 0.0783 What is 0.52008862 rounded to 4 dps? 0.5201 Round -7068870.018 to the nearest one hundred thousand. -7100000 Round -45.736807 to the nearest integer. -46 What
{ "pile_set_name": "DM Mathematics" }
8*b. Suppose 0 = 2*m - 2, 5*m + b = 5*n. Is n composite? False Let b = 303 - 788. Let u be b/7 - (-6)/21. Let h = u - -152. Is h prime? True Suppose -8*s = 9*s - 153. Let q(a) = 7*a + 0*a - s*a + 1 + 260*a**2 - 2*a. Is q(1) prime? True Let d(q) = q**3 + 14*q**2 - q + 0*q**3 + 1 - 5*q**2 - 5. Let l be d(-9). Is (-4190)/(-2) + 2 + (-10)/l prime? False Let z be (-1)/2 - 36/8*-10491. Suppose 0 = -3*t - 14*t + z. Is t prime? True Suppose -510*j + 5*w = -515*j + 978310, -4*j + w = -782633. Is j a prime number? True Suppose -6*x - 2*x = 10*x. Is (5 - 4 - x) + 1 + 3785 prime? False Suppose -4*o - 4*n + 5776 = 0, 4*o - 2888 = 2*o - 4*n. Let v = -185 + o. Is v composite? False Suppose -q + 50 = 5*g + 4*q, -4*g + 43 = q. Suppose -g*s - s + 8628 = 0. Is s prime? True Let o(g) = g**2 - 3*g - 6. Let h be o(5). Let t = 23350 + -17882. Suppose h*n - t = -0*n. Is n composite? False Let g = -14 + 24. Suppose 6*q - 8*q = -g. Is ((-2)/(-3))/(q + 8226/(-1647)) prime? False Let s(c) = 2*c**2 - 34*c + 36. Let l be s(16). Suppose -p - a - 3127 = -l*p, -5*a + 4182 = 4*p. Is p a prime number? False Is ((-4)/22)/(152/(-627)) - 5577826/(-8) a prime number? False Let o(i) be the third derivative of -i**6/120 + 19*i**5/60 + 25*i**4/24 - 19*i**3/3 + 3*i**2. Let r be o(18). Suppose -r = 5*w - 2991. Is w composite? True Suppose -10 = 5*w - 5*u, 3*w + 0*w - 4*u = -9. Suppose w = 4*z - 7. Suppose -z*m + 5*k + 129 = 0, -13 = -3*k + 2. Is m prime? False Let c(r) = -250*r**3 - 12*r**2 + 10*r + 27. Let f be c(-6). Suppose j = -x + 12728 + 658, -4*x = -5*j - f. Is x a composite number? True Let u = 87 - 84. Suppose -s = 3*o - 4216, u*s = o + 4*o + 12578. Is s a composite number? False Let u(x) = 8027*x - 9169. Is u(66) prime? False Let u(p) = 31 + 27 + 1098*p - 69. Is u(1) a composite number? False Let g be (-4)/(-2) - (123 - 2). Let v = -240 - g. Let x = v + 315. Is x composite? True Suppose 0 = 64*p - 186371 - 346173. Is p a prime number? False Let x(d) = d**3 + 12*d**2 + 14*d + 12. Let k be x(-10). Let j = k - 71. Is j + (-2 - -6) + 336 composite? True Let d(o) = 14*o**2 - 2*o - 24. Let x be d(5). Is (-172)/1*x/(-16) a prime number? False Suppose d = -2*d. Suppose 3*b + 2*q + 60 = 0, d = 5*q + 1 - 16. Let h = 77 + b. Is h composite? True Suppose 4*y = b - 4*b + 22, -4*y + 18 = b. Suppose 4508 = y*u - 8408. Is u a composite number? False Let n(x) = -34*x + 8. Let z be n(1). Let w = z + 29. Suppose 2*q - 3*g = 2793, w*q - 1409 = 2*q + 4*g. Is q a prime number? False Let o = -5839 - -15030. Let k = o - 4570. Is k a composite number? False Let k be ((1526 - 2)/(5/(-5)))/1. Let v = 529 - k. Is v a prime number? True Suppose 3*c - 5*x = 160544, -7*c + 160535 = -4*c + 4*x. Is c composite? True Let j = 2041 + -1862. Is j a prime number? True Let t(h) = -h**3 - 15*h**2 - 13*h + 17. Suppose 63*n = 67*n + 64. Is t(n) a prime number? False Suppose 0*r + 5*f - 41 = r, 4*r + 3*f + 49 = 0. Let h be ((-2)/(-2))/((-2 + 0)/r). Let t(z) = 66*z - 7. Is t(h) prime? True Let z = -27449 + 14284. Let x = z + 29592. Is x a prime number? True Let a(n) = -88*n - 17. Suppose 2*l - 3*v + v - 18 = 0, -4*v = -2*l + 10. Let u be a(l). Let o = -626 - u. Is o composite? True Is (-6 - -54623)/(10/(-15) + 1) a composite number? True Let u(b) = -5*b**2 - 2 - 40*b**3 + b**2 - 146*b**3 + 5*b**2 - b. Let h be u(-1). Is 2 + h + (-3)/(-1) composite? False Let r be 2*(-19*(-2)/4 + -3). Suppose -9*w + r*w + 4676 = 0. Let q = 2368 + w. Is q a prime number? False Suppose -22*o = -25*o + 5145. Suppose 202 = 2*z - 2*n - 1504, 0 = 2*z - 5*n - o. Let h = 1657 - z. Is h a prime number? False Suppose k - 2*l = 10, k - 5*k - 5*l + 1 = 0. Suppose -4*f - f + k*r + 7626 = 0, 3*r = 4*f - 6100. Is f composite? True Let o = -25660 - -44097. Suppose k = 3*f + 54736, 3*f = 3*k - 145789 - o. Is k prime? False Let j(g) = 2 + 2*g**3 - 2*g**2 + 23 - 2*g**2 + 5*g**2 + 6*g. Is j(12) prime? True Let l(b) be the second derivative of b**4/6 + 81*b**2/2 + 2*b + 61. Is l(19) a prime number? False Let w(c) = c**3 - 11*c**2 + 9*c + 22. Let f be w(10). Suppose 5*p = s + 16, -3*p + 0*p = -f. Suppose -689 = -s*d - 53. Is d composite? True Let x = -356 + 407. Suppose -x*i = -66*i + 10695. Is i a prime number? False Let k(c) = -251*c**2 + 17*c + 6. Let t be k(-4). Let z = 1505 - t. Is z a prime number? False Let y(s) = 2*s**2 - 64*s - 13. Let w be y(22). Let j = w - -15880. Is j a prime number? True Let h(x) = -x**3 + 5*x**2 + 4*x - 17. Let l be h(5). Is ((-18)/(-27))/(l/9) + 1499 composite? True Suppose 13662 = -23*k - 0*k. Let z = k + 2325. Is z prime? False Suppose 19*u - 4452197 = 648410. Is u a prime number? False Let x(b) = 26893*b**2 + 47*b + 11. Is x(-3) prime? True Is ((-4391)/2)/((-479)/64186) composite? True Suppose -20*q + 0*q + 5330311 = -6926149. Is q composite? False Suppose 3068353 = 189*x - 1140110. Is x prime? False Suppose 10*y - 8 = -8. Suppose y = -5*i - 3507 + 16772. Is i a composite number? True Suppose -10*h + 8*h - 14895 = -f, -3*h = 6. Is f prime? True Let z = -22249 + 116670. Is z a prime number? True Let b(v) = -5*v**2 - 9*v - 2. Let a be b(-11). Let g = -487 - a. Is g prime? False Let c be (244/(-12))/(1/(-3)) - 0. Suppose 15505 = 68*i - c*i. Is i composite? True Suppose -429 = 3*m - 456. Suppose -m*a + 4*a = 4*z - 44313, 2*z - 4 = 0. Is a prime? True Let h = -18 - -27. Suppose h = 2*s + 5. Is (s - -35)/((-16)/(-304)) a prime number? False Let w(o) = 34*o**2 + 24*o - 36. Let q be w(8). Let f = q + -1563. Is f a composite number? False Let j(w) = w - 7. Let f be j(4). Let d be (-2077)/f + 2/(-6). Suppose 2*a = 2010 - d. Is a a composite number? False Is (-3)/21 + (-7 + -324581)/((-70)/65) a prime number? True Suppose 7604749 + 15780826 = 25*u. Is u a composite number? False Suppose 6*a = 34758 + 14976. Suppose 0 = -34*c + 7*c + a. Is c a composite number? False Let p(j) = 27*j**2 + 46*j + 3. Let b(f) = f**3 + 10*f**2 + 16*f + 10. Let w be b(-8). Is p(w) composite? False Suppose 129*v - 8294454 = 75*v. Is v a composite number? True Let d = -32468 + 68067. Is d composite? True Let k(i) = 1409*i**3 - 7*i**2 + 72*i - 73. Is k(5) a composite number? False Let r = 9474 + 4084. Is r prime? False Let n = -40 + 40. Let p be n/1 - (-1 - -13). Is 117/p*10/15*-22 a composite number? True Suppose -5*h = 4*j - 24 + 1, -9 = 3*j. Let s(v) = -h - 4 - 4*v + 125*v**2 + 3*v. Is s(-3) a prime number? True Suppose -5*r - y + 66713 = -86441, 4*r = -7*y + 122517. Is r a composite number? False Let g(f) = 20065*f + 492. Is g(5) a composite number? True Let q(j) = 241*j + 41. Let r(p) = -p - 2. Let c(s) = q(s) + 2*r(s). Is c(6) prime? True Let o be (14/3)/(3 - 35/15). Suppose -33 = -4*n + o. Suppose 5*y - n = 5, -3*j + 1404 = y. Is j a prime number? True Let n = 225755 - 151570. Let x = -35282 + n. Is x composite? False Let a = 629 - 624. Suppose -a*f - 3*l + 42323 = 0, -25385 = -9*f + 6*f - 4*l. Is f prime? True Let d(k) = 23 + 74*k - 9*k + 13*k. Is d(5) prime? False Let a be (1 - -1)*979/(-22). Let m = 95 + a. Suppose r + 3*t = m*r - 12133, 0 = r - 5*t - 2409. Is r prime? False Suppose 97 - 79 = 3*y. Suppose -y*a - 16843 + 61201 = 0. Is a a composite number? False Suppose 0 = 5*i + 21 - 96. Let q(v) = -v**3 + 15*v**2 + 2*v - 27. Let h be q(i). Suppose -5*z + 7274 = -h*z. Is z prime? True Suppose 3*o + 4*u = 27, 3*o - 18 = -0*o - u. Suppose -5*n - 1815 = -4*l + 3629, o*n = -2*l + 2752. Is l a prime number? False Suppose 2*f - 7977 = -o + 5*f, -2*o + 15951 = -3*f. Suppose 8*k - 11*k + o = 0. Suppose k + 795 = 3*j. Is j a prime number? True Suppose 2*d - u - 5 = 0, 34*d - 29*d = -3*u + 40. Suppose 0 = -d*y + 4*n + 18195, -4*n = -3*y - n + 10914. Is y a prime number? True Suppose -2*c + 9 = 2*g + 11, 7 = c - g. Suppose 4*m + 4*i = 110148, -c*m = -5*m - 5*i + 55068. Is m composite? False Let j(x) be the third derivative of -53*x**4/12 + 19*x**3/6 + 3*x**2 + 770*x. Suppose -5*v - 39 = -9. Is j(v) a prime number? False Suppose -3*p = -2*x - 13597, p - 483*x + 482*x = 4531. Is p composite? True Let s = -52966 + 128165. Is s a prime number? False Let c(p) = 72*p**2 - p. Let w = 41 + -42. Let x be c(w). Let k = x + 12. Is k composite? True Suppose 9*g = -100 - 467. Let n = 65 + g. Suppose n*i = 3*q + 431 - 3092, 0 = i. Is q composite? False Let d(y) = -y**3
{ "pile_set_name": "DM Mathematics" }
ultiple of -1 - 19/(1*(0 - 1)) and 3? 18 Suppose -1 - 7 = -2*r. Let k = 3 - -11. Suppose 2*p = -p - 6, k = 4*i - 3*p. What is the least common multiple of i and r? 4 Suppose 45 = 4*g + g. Suppose -11 - g = -5*a. Suppose 4*l - 2*r - 44 = 0, -a*r - 14 = 2. Calculate the smallest common multiple of 3 and l. 9 Let j = 93205619/3413 - 27309. Let h be (1634274/(-81))/((-13652)/(-5)). Let q = j + h. Find the common denominator of -35/6 and q. 18 Let b be 3/(-9) - (1 - 0). Let r = 7/6 - b. Calculate the common denominator of -3 - (-2)/((-16)/(-284)) and r. 2 Suppose -3*f = -g, g = 5*f - 4 + 6. Find the common denominator of (1 - 0) + (-105)/4 and (-182)/(-21)*3*f. 4 Suppose -5*a = b - 2*a - 17, -a + 5 = 0. Calculate the least common multiple of b and 4. 4 Let h = 4756 - 76157/16. Let j = 44279/90 + -2468/5. What is the common denominator of h and j? 144 Find the common denominator of (55/10)/((-4)/3) and 61/5. 40 Suppose 29 - 71 = 4*r - 2*p, -4*r = -p + 45. Let o(n) = -n**3 - 12*n**2 + 9. What is the least common multiple of 2 and o(r)? 18 What is the common denominator of (0 - -38)*(-1)/(-40) and 5/(80/(-41)) - -3? 80 Let c be (2 + -1)*2*1. Suppose j + 0 = c. What is the least common multiple of 18 and j? 18 Let t = -3554 + 14139/4. Calculate the common denominator of t and -7/8. 8 Let f = -7494/635 - -1/635. What is the common denominator of -29/72 and f? 360 Suppose 4*j = -4, -28 - 66 = 3*p + j. Calculate the common denominator of p*((-7)/10)/7 and -73/9. 90 Suppose 0 = z - 5*f + 2*f - 4, z - 8 = f. Suppose 0*m = 2*m + 4*r - 24, -m + 4*r - 6 = 0. Calculate the least common multiple of m and z. 30 Let o = 5 + 3. Let p = 14 - 10. Suppose -5*i - l = -2*i - 38, -p*i + 72 = -4*l. What is the lowest common multiple of o and i? 56 Let v be ((-2)/2)/(1/6). Find the common denominator of (-3)/v - 201/(-18) and -59/6. 6 Let t = -12537 - -364341/29. Let i = t - 12521/406. What is the common denominator of 91/10 and i? 70 Let q be (-4 + 1)/((-1)/(-13)). Calculate the smallest common multiple of 10 and q/(-2) - 5/(-10). 20 Suppose 0*j + 2*j = a + 7, -j = -4*a + 7. Suppose -13 = -5*c - 3. Suppose 0 = -u - c, a*x = u + 8. Calculate the least common multiple of 1 and x. 2 Let c = 9443 + -377759/40. Calculate the common denominator of -33/14 and c. 280 Let b = 12 + -22. Let l(v) = -v - 6. Calculate the least common multiple of (-22 + -2)*4/(-12) and l(b). 8 Let n = 0 + 0. Suppose 20 = -n*w + w. Calculate the least common multiple of 10 and w. 20 Let d(y) = y**2 - 3*y - 2. Let b(z) = z**3 + 12*z**2 - 14*z + 7. Calculate the least common multiple of d(6) and b(-13). 80 Let f = 5 + 1. Suppose 2 - 62 = -f*u. Calculate the lowest common multiple of u and 10. 10 Calculate the common denominator of 2/(-104)*44/56*12 and -79/22. 2002 Let r = 2095 + -10527/5. Find the common denominator of -35/6 and r. 30 Let m be (-10)/3*6/4. What is the common denominator of m/(-4)*78/10 and 2/(-6) - (-37)/(-33)? 44 Let d = 21 - 17. What is the lowest common multiple of d and 7? 28 Let c be 12/(-9)*6/(-4). Suppose c*p - 16 = 4. What is the least common multiple of 6 and p? 30 What is the least common multiple of 18 and 29/5 + 10/50? 18 Let z = 31 + -9. Calculate the smallest common multiple of z and 5. 110 Let p = 4 + 4. Calculate the lowest common multiple of p and (1 - (-15)/(-9))*-6. 8 Let t = 1 + 0. Suppose 4*s - 13 - 21 = -2*g, 4*g = 3*s + 35. What is the lowest common multiple of t and g? 11 Let c(a) = a**2 - 2. Let v be c(3). Suppose 2*k + 80 = v*k. What is the least common multiple of 8 and k? 16 Let y = 148/63 - -31/7. Suppose -1 + 4 = -3*v. Find the common denominator of (-2)/v + 49/(-8) and y. 72 Suppose 0 = -10*u + 6*u + 88. What is the least common multiple of u and 6? 66 Let q = -2845 - -14169/5. What is the common denominator of -64/9 and q? 45 Suppose 12 = 3*o + l, o - 4*l = -0*l - 9. What is the lowest common multiple of o and 5? 15 Let w(q) = 40*q + 1. Find the common denominator of w(-1) and (-165)/21 + 8/14. 7 Let b(z) = 43*z + 2. Let i be b(2). Suppose m + 57 + 53 = 5*g, 3*m - i = -4*g. Calculate the smallest common multiple of 11 and g. 22 Find the common denominator of -23/4 and (1072/504)/(4/3). 84 Let z = -53 + 69. Calculate the lowest common multiple of 54 and z. 432 Let v(a) = a**3 + 6*a**2 + 4*a - 5. Let h be v(-5). Suppose o + h + 1 = 0. What is the common denominator of 55/9 and 2 + 51/(-27) + o? 9 Suppose -6*q + 32 = -2*q. Calculate the least common multiple of 11 and q. 88 Let h(v) = v - 2275. Let m be h(0). Calculate the common denominator of 131/12 and (-2)/20*m/(-20). 24 Let j be (-4)/16 - (-9147251118)/(-800). Let h = j - -11434087. Let x = -626/25 + h. Find the common denominator of x and 21/20. 80 Let c = -272511/46460 + 36/2323. Calculate the common denominator of c and ((-213)/54)/((-2)/6). 60 Let x be (3 + -9)*(-5)/2. What is the smallest common multiple of 11 and (8/(-6))/((-2)/x)? 110 Let b = -10883/256 - -3/256. Find the common denominator of 61/4 and b. 4 Let m(d) = -2*d**3 + 6*d**2 + 4*d - 4. Let f be m(5). Find the common denominator of (f/54)/((-2)/21) and 9/(-2)*(-56)/(-12). 3 Let m = 25 - 18. Calculate the common denominator of 5/(-32)*(-32 - 2) and 4/(-32)*(m + -1). 16 Calculate the smallest common multiple of (3 - 0)*(-52)/(-6) and 16. 208 Suppose -5*i - 4*p + 160 = p, -2*p + 148 = 5*i. Suppose 2*z - i = -4*m, -m - z - 16 = -4*m. Let x = -1 + m. Calculate the lowest common multiple of x and 8. 40 Let g be (1/2)/((-4)/(-8)). Find the common denominator of 2/(40/(-53))*g and -57/8. 40 Let p(q) = -6*q**3 - q**2. Let r be p(-1). Suppose -6 = -r*v + 2*v. What is the lowest common multiple of v and 6? 6 Suppose -4*j = -19 - 125. Suppose l - 4*l = -j. What is the smallest common multiple of (-4)/(-2) - (-22 + 0 - -2) and l? 132 What is the common denominator of 23/2 and (13/(-39))/(4/174)? 2 Let j = 1052/77 - 133/11. What is the common denominator of ((-1)/(-6))/(3/20) and j? 63 Let n = 8 - 2. Calculate the least common multiple of (-90)/(-14) + n/(-14) and 4. 12 Let v = -2 - -7. Suppose v*p - 8*p = -42. What is the lowest common multiple of 4 and p? 28 Let f = -2369 - -9573/4. What is the common denominator of f and 25/8? 8 Let r = -15/7103 + -3414233/1093862. Let q = -25/14 + r. Let o = -5109/7 - -731. What is the common denominator of o and q? 77 Suppose -4*q = -42 - 18. Find the common denominator of -81/14 and 40/(-36)*q/4. 42 Suppose -5*j + 5 = -5. Suppose 0*b = -b + j. What is the least common multiple of 1 and b? 2 Let s = -1101429127/140 - -7867399. Let h = -351/7 + s. What is the common denominator of h and 45/4? 20 Suppose -36 = -3*k - 15. What is the least common multiple of k and 3? 21 Let k = 283/17 - -121/102. Let o be (-2)/3 - (-4)/(-3). Find the common denominator of k and 13/4*o/(-4). 24 Let v(p) = p**2 + 6*p + 6. Let o be v(-6). Suppose 0 = -k - 2*k - o. Calculate the lowest common multiple of 7 and (-2)/(k/11*1). 77 Let a = 285 - 2584. Let t = -13757/6 - a. Find the common denominator of -59/9 and t. 18 Let s = -93 - -95. What is the lowest common multiple of s and 22? 22 Let j be 2/10 - (-9)/5. Let p = 1 - j. Let f(r) = 11*r**2 + 2*r + 1. Calculate the least common multiple of 4 and f(p). 20 Let q be (-135)/((-1*4)/4). Find the common denominator of 15/8 and 0 + -1 + q/(-6). 8 Let x be (14/(-49))/((-1)/7). Suppose -x*i - 42 = -5*i. Calculate the smallest common multiple of i and 8. 56 Suppose 4*a + 3 = 7. Let k = a + 5. Calculate the lowest common multiple of 5 and k. 30 Let g be ((-1)/(2057/(-2)))/(-1). Let w = 294163/12342 + g. Calculate the common denominator of w and (3/(-10))/((-120)/(-3100)). 12 Let m(q) = q + 2*q**2 - q**2 - 2*q**2 - 5*q + 4. Let l(h) = -h**2 - 7*h - 6. Calculate the smallest common multiple of m(-3) and l(-4). 42 Let h = 90065/22 + -4091. Find the common denominator of -131/18 and h. 198 Suppose 0 = -3*z + 4793 + 2470. Let y be (-3)/4*3162*1. Let n = y + z. Calculate the common denominator of -45/22 and n. 22 What is the least common multiple of 7 and (-700)/(-75)*(1 + 1/2)? 14 Let x = -2043 + 8121/4. Let g = 2747 + -11067/4. Calculate the common denominator of g and x. 4 Calculate the common denominator of (-4)/10 + 256/(-110) and (24/576)/((-2)/(-138)). 88 Let g(q) = q + 22. Let m(c) = c + 21
{ "pile_set_name": "DM Mathematics" }