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s the smallest common multiple of 200 and 69522300? 139044600 Calculate the lowest common multiple of 607308 and 124644. 28543476 Find the common denominator of -17/44628864 and 117/560. 223144320 What is the smallest common multiple of 38078355 and 20308456? 304626840 Find the common denominator of -88/21525 and 103/2050. 43050 What is the common denominator of 9/33663500 and -6/36253? 235644500 Calculate the least common multiple of 12237145 and 375885. 110134305 Calculate the common denominator of -151/16728 and 29/11152. 33456 Find the common denominator of 53/2235 and -35/596298. 2981490 Find the common denominator of 27/2980468 and -42/745117. 2980468 What is the lowest common multiple of 12 and 110130? 220260 Calculate the common denominator of -51/52 and 37/84354452. 84354452 What is the common denominator of -23/1229032 and 27/51640? 6145160 What is the smallest common multiple of 70681112 and 97424? 141362224 Calculate the smallest common multiple of 4512824 and 153436016. 153436016 Calculate the smallest common multiple of 576620 and 131050. 2883100 Find the common denominator of -53/12 and 131/20515548. 20515548 Calculate the least common multiple of 1585672 and 1982090. 7928360 What is the common denominator of -81/12824 and -83/61358031? 490864248 Calculate the smallest common multiple of 169850 and 3010. 1188950 Calculate the smallest common multiple of 1636680 and 272780. 1636680 Calculate the lowest common multiple of 408 and 9643394. 1967252376 What is the lowest common multiple of 8656 and 207744? 207744 What is the least common multiple of 55568448 and 328? 55568448 Calculate the common denominator of -7/4957200 and -53/64152. 54529200 What is the common denominator of 115/672768 and 11/640? 3363840 Find the common denominator of -101/60927984 and -79/3384888. 60927984 Find the common denominator of -111/2207590 and 39/13420. 4415180 What is the common denominator of 61/317512 and -73/22543352? 22543352 What is the lowest common multiple of 34999662 and 12? 69999324 Calculate the smallest common multiple of 37270314 and 524934. 37270314 What is the common denominator of -151/940446 and 50/717? 224766594 What is the smallest common multiple of 80716631 and 18770? 807166310 What is the common denominator of 11/137744 and -151/49381224? 98762448 What is the common denominator of -43/1163636 and 105/4654544? 4654544 Calculate the smallest common multiple of 61921 and 4997. 16285223 Find the common denominator of 37/10086770 and -61/18. 90780930 Find the common denominator of -41/54000978 and 73/81001467. 162002934 What is the lowest common multiple of 1206 and 7829352? 7829352 What is the common denominator of -101/25872 and -191/276332364? 1105329456 Calculate the least common multiple of 68295392 and 6026064. 204886176 Calculate the least common multiple of 13238256 and 6619128. 13238256 Calculate the lowest common multiple of 637 and 55575. 2723175 What is the common denominator of -37/23868621 and 64/297? 262554831 Calculate the common denominator of 89/155088 and 155/21953568. 197582112 Calculate the lowest common multiple of 12105 and 1428. 5761980 What is the lowest common multiple of 496592343 and 73569236? 1986369372 Calculate the least common multiple of 2772 and 980133. 11761596 Calculate the lowest common multiple of 25836 and 15381032. 46143096 Calculate the common denominator of -64/6720201 and 7/127096. 53761608 Find the common denominator of 37/19600 and -109/3251150. 26009200 What is the lowest common multiple of 268716 and 2015370? 4030740 What is the common denominator of 83/130600 and 73/1110100? 2220200 Find the common denominator of -92/6139395 and -22/110025. 30696975 Calculate the smallest common multiple of 37863366 and 252. 1590261372 What is the common denominator of -157/411672 and 81/74375408? 223126224 Calculate the smallest common multiple of 107514 and 305712. 166001616 What is the common denominator of 123/97384 and 3/1210? 58917320 What is the least common multiple of 51191 and 226703? 1586921 Calculate the lowest common multiple of 386 and 13510. 13510 Calculate the common denominator of -9/49022470 and 11/580. 98044940 What is the lowest common multiple of 5663091 and 15101576? 45304728 What is the lowest common multiple of 41896176 and 41896176? 41896176 Calculate the lowest common multiple of 1777095 and 17574. 103071510 Calculate the common denominator of 47/1853460 and -47/2131479. 42629580 Calculate the lowest common multiple of 1561520 and 14. 10930640 What is the smallest common multiple of 190817740 and 30? 572453220 Calculate the smallest common multiple of 735 and 695877. 24355695 What is the common denominator of -45/752 and -23/3587584? 168616448 Calculate the least common multiple of 7310925 and 45. 7310925 What is the least common multiple of 380040 and 304032? 1520160 What is the common denominator of 161/9540 and -31/13140? 696420 What is the lowest common multiple of 329412432 and 8? 329412432 What is the smallest common multiple of 22830704 and 3488? 45661408 Find the common denominator of -107/3612 and -11/1041684. 44792412 Calculate the lowest common multiple of 3864 and 181692. 8357832 What is the common denominator of 25/222426 and 15/121? 26913546 Calculate the lowest common multiple of 44622540 and 108. 133867620 Calculate the common denominator of -97/384 and -139/7408512. 7408512 Calculate the common denominator of 73/1664880 and 131/5946. 1664880 What is the common denominator of -85/253386 and -113/321804? 647147844 Find the common denominator of -125/42 and 22/1594983. 22329762 Calculate the smallest common multiple of 585500 and 680. 19907000 What is the least common multiple of 552 and 2081040? 2081040 What is the lowest common multiple of 2754584 and 112432? 5509168 Calculate the common denominator of 5/7946 and 45/9776. 38840048 What is the common denominator of 133/128262 and -47/16113? 688895202 Calculate the smallest common multiple of 60291 and 1917. 4280661 What is the common denominator of -37/42940 and 11/343520? 343520 Calculate the lowest common multiple of 1470646 and 574. 422075402 Find the common denominator of -151/36951822 and 79/6. 36951822 Find the common denominator of -57/1030 and -22/7055603. 70556030 What is the lowest common multiple of 99414 and 7337700? 154091700 Calculate the least common multiple of 76473304 and 12. 229419912 Calculate the lowest common multiple of 1208465 and 35895. 3625395 Calculate the common denominator of 101/2158 and 9/8424998. 109524974 Calculate the smallest common multiple of 3035699 and 28. 84999572 What is the least common multiple of 86358 and 1252191? 2504382 Calculate the common denominator of -109/2443716 and -82/18513. 2443716 Calculate the least common multiple of 586 and 29990015. 59980030 Calculate the lowest common multiple of 74515 and 9210054. 46050270 Find the common denominator of -51/62061470 and -57/1111. 682676170 Find the common denominator of 59/986390 and 11/789112. 3945560 What is the common denominator of -37/1582616 and 85/1916? 1582616 Find the common denominator of 119/123408 and -50/952127. 137106288 What is the common denominator of -109/120190 and -3/343400? 2403800 Calculate the lowest common multiple of 155 and 2326023. 11630115 What is the smallest common multiple of 20399184 and 15384? 20399184 Find the common denominator of -7/28272 and 71/734464. 68305152 What is the smallest common multiple of 12 and 1099455? 4397820 What is the smallest common multiple of 67880 and 6754060? 13508120 Calculate the least common multiple of 18579 and 13174200. 144916200 Find the common denominator of -99/590 and -62/27213. 16055670 Calculate the common denominator of -29/1253718 and 19/10029744. 10029744 Find the common denominator of -61/139403 and 55/80446. 20352838 Calculate the common denominator of 56/278433 and 33/32607598. 293468382 Find the common denominator of 14/17901 and -99/670. 11993670 Calculate the common denominator of -107/18155592 and -145/20749248. 145244736 What is the common denominator of -1/30040 and -35/39052? 390520 Calculate the common denominator of 16/39063427 and 2/692523. 1054712529 What is the lowest common multiple of 1796760 and 898380? 1796760 Calculate
{ "pile_set_name": "DM Mathematics" }
o**5/15 + o**3/3 - 54*o**2. Let f(r) = 2*h(r) - q(r). Give a(f(i)). -92*i**4 Let f(a) = -5*a. Let y(d) = -72*d**2 - 360. Let r(z) = -z**2 - 2. Let h(v) = 540*r(v) - 3*y(v). What is f(h(x))? 1620*x**2 Let h(t) = -t**2. Let l(d) = 541*d - 263*d - 389*d. Calculate l(h(u)). 111*u**2 Let c(z) be the second derivative of -13*z**6/180 + 5*z**3/2 + z**2 + 31*z. Let v(k) be the second derivative of c(k). Let p(l) = -3*l. Determine v(p(j)). -234*j**2 Let z(d) = -d. Let a(u) = 775*u - 1541. Calculate a(z(l)). -775*l - 1541 Let q(m) = -2*m**2. Let g(s) = -32*s**2 + 2. Let z(c) = 1444*c**2 - 24. Let k(r) = 12*g(r) + z(r). Calculate k(q(b)). 4240*b**4 Let t(x) = -1859*x. Let o(s) be the second derivative of -s**4/4 - 544*s + 3. Calculate o(t(f)). -10367643*f**2 Let j(a) = -7*a**2 - 5*a + 600. Let c(z) = -28*z**2 - 21*z + 2520. Let r(y) = -5*c(y) + 21*j(y). Let s(w) = -15*w + 12. What is s(r(t))? 105*t**2 + 12 Let j(l) be the second derivative of l**4/12 + 3*l**2/2 + l - 7. Let h(r) be the first derivative of j(r). Let v(i) = 2*i + 0*i + 0*i. Determine h(v(a)). 4*a Let q(c) be the third derivative of c**4/12 + 36*c**2. Let v(p) = -p - 1. Let j(f) = -61*f - 2. Let y(g) = -j(g) + 4*v(g). Determine q(y(a)). 114*a - 4 Let b(h) = 2*h. Suppose j + 4 = -1. Let v(t) = -6*t. Let m(y) = j*v(y) - 14*b(y). Let l(g) be the third derivative of -11*g**4/24 + 14*g**2 - 1. Give l(m(z)). -22*z Let o(x) = -47*x + 10. Let i be o(-2). Let j(u) = i - 93 - 10*u - 3*u**2 + 10*u. Let m(a) = a. What is m(j(k))? -3*k**2 + 11 Let n(d) = -22*d**2 - 20*d + 4. Let z(t) = -190*t**2 - 175*t + 35. Let g(o) = -35*n(o) + 4*z(o). Let a(r) = 684*r. What is g(a(k))? 4678560*k**2 Let o(x) = x. Let p(v) = 131093*v**2. What is p(o(s))? 131093*s**2 Let w(n) = -n**2 + 42. Let h(v) = 42418*v. Give w(h(r)). -1799286724*r**2 + 42 Let s(a) = 36*a. Let l(u) = 54*u + 32879. What is l(s(n))? 1944*n + 32879 Let l be -10 - -12 - (0/2)/(-1). Let c(f) = 10*f**2 + 7 - 11*f**l + 4*f**2. Let k(i) = i**2 + 4. Let u(s) = -4*c(s) + 7*k(s). Let b(m) = m**2. Give b(u(j)). 25*j**4 Let r(l) = 2*l**2 + 7. Let v(f) = -10*f**2 - 3*f - 3. Suppose 23 = 4*d + 31. Let s(a) = 8*a**2 + 2*a + 2. Let g(k) = d*v(k) - 3*s(k). What is g(r(u))? -16*u**4 - 112*u**2 - 196 Let h(o) = -22*o**2. Let f(t) = -219729*t**2. Calculate h(f(s)). -1062178335702*s**4 Let n(o) = -2*o + 345. Let u(f) = -f**2 + 844*f. Calculate u(n(t)). -4*t**2 - 308*t + 172155 Let h(r) = -2*r + 0*r + r. Suppose -104*k + 3055 - 871 = 0. Let j(d) = 19*d + 21*d + k*d - 82*d + 25*d. Calculate j(h(b)). -4*b Let v(x) = 38*x**2. Let g(s) = 110*s**2 + 3*s - 2. Let l(a) = -78*a**2 - 2*a + 2. Let t(f) = 2*g(f) + 3*l(f). What is v(t(p))? 7448*p**4 - 2128*p**2 + 152 Let c(v) = -7*v**2. Let m(y) = -54092*y**2. Determine m(c(x)). -2650508*x**4 Let h(n) = -n. Let y(x) = -81*x + 18. Let o(r) = 0 - 24*r + r + 5. Let v = -1002 - -1007. Let s(g) = v*y(g) - 18*o(g). Calculate s(h(b)). -9*b Let y(z) be the first derivative of 10*z**3/3 + 346. Let i = -4 - -6. Let f(l) = 2*l**2 - 5*l**i - 7*l**2 + 7*l**2. What is f(y(n))? -300*n**4 Let d(c) = -2*c**2. Let g(v) be the third derivative of -229*v**5/30 + 719*v**2. What is d(g(t))? -419528*t**4 Let l(j) be the second derivative of -j**7/1260 + 17*j**4/12 - 12*j. Let z(h) be the third derivative of l(h). Let o(b) = -7*b - b - b. What is o(z(g))? 18*g**2 Let m(i) = 23*i + 98. Let t(r) = -297*r - 1323. Let b(s) = 27*m(s) + 2*t(s). Let g(v) = 6*v**2 + 43*v. Give b(g(x)). 162*x**2 + 1161*x Let a(n) be the second derivative of n**3/2 + n**2/2 - 12*n - 22. Let c(o) = -3*o. Calculate c(a(w)). -9*w - 3 Let j(u) = 184*u. Let p(c) be the first derivative of c**6/180 + 19*c**3 - 151. Let n(k) be the third derivative of p(k). What is j(n(o))? 368*o**2 Let g(s) = 2134 - 2134 - 18*s. Let c(h) be the second derivative of h**6/720 - 7*h**4/12 - 15*h. Let a(d) be the third derivative of c(d). What is a(g(q))? -18*q Suppose w - 656 = -69. Let p(z) = -591*z**2 + w*z**2 + 2 - 1. Let b(r) = r**2. Give p(b(t)). -4*t**4 + 1 Let f(m) = -2*m + m + m + 261*m**2. Let t(u) = 2*u**2 + 117*u. Let v(r) = 5*r**2 + 273*r. Let j(q) = -7*t(q) + 3*v(q). Calculate f(j(h)). 261*h**4 Let a(c) = 4*c**2. Let u(b) be the first derivative of -27/2*b**2 + 0*b + 34. Give a(u(f)). 2916*f**2 Let s(k) = -8*k. Let a(j) = -4*j**2 + 239924. Give a(s(p)). -256*p**2 + 239924 Let r(i) = 2*i**2. Let t(l) be the third derivative of -17*l**7/5040 - 41*l**5/60 + 102*l**2. Let h(k) be the third derivative of t(k). Give r(h(j)). 578*j**2 Let y(k) = -4*k**2. Let l(u) be the second derivative of 0*u**2 + 1/3*u**3 + 0 - 33*u. Determine l(y(c)). -8*c**2 Let m(j) = 2*j. Let r(d) = -2896*d + 5492*d - 2236*d + 9136*d + 6233*d. Give m(r(w)). 31458*w Let w(t) = -t**2 + 3. Let s(y) = 2. Let i(u) = -3*s(u) + 2*w(u). Let q(n) be the third derivative of 3*n + 5*n**4 - 1305*n**2 + 1472*n**2 - 3*n. Give q(i(r)). -240*r**2 Let k(s) = -s. Let u(j) be the second derivative of -47*j**3/2 + 2*j + 261. Determine u(k(v)). 141*v Let j(u) be the second derivative of -u**4/12 + 2*u. Let p(i) = -8189*i + 6 - 8192*i + 24563*i - 8181*i. Give j(p(k)). -k**2 - 12*k - 36 Let f(h) = 7*h**2 + 8. Let t(r) = 2*r**2 + 3. Let u(j) = 3*f(j) - 8*t(j). Suppose 0 = 10*v - 158 + 28. Let x(o) = v*o + 18*o + 16*o - 41*o. What is x(u(n))? 30*n**2 Let y(x) = 24*x**2. Let k(v) = 2*v**2 - v + 2. Let o(g) = -490*g**2 + 294*g - 588. Let l(h) = -294*k(h) - o(h). Determine y(l(t)). 230496*t**4 Let t(j) = 10*j**2. Let o(x) = 23*x**2 - 6*x. Let z(v) = -47*v**2 + 15*v. Let i(s) = -5*o(s) - 2*z(s). Give t(i(n)). 4410*n**4 Let f(o) = -18*o. Let w be 9 - 9 - (-3)/3. Let u be w + 0 - 3/(3/(-182)). Let v(x) = 2*x + u - 183. What is v(f(d))? -36*d Let g(r) = -r + 4. Let b(s) = 3*s - 11. Let x(k) = 4*b(k) + 11*g(k). Let y(l) = 17*l + 48. Let w be y(19). Let h(j) = 745*j - 370*j - w*j. Give x(h(u)). 4*u Let y(l) = 6281097*l**2. Let m(i) = -2*i**2. What is m(y(p))? -78904359046818*p**4 Let a(p) = 296 - 3*p**2 - 150 + 4*p**2 - 160. Let v(d) = -33*d**2. Calculate v(a(t)). -33*t**4 + 924*t**2 - 6468 Let l(q) = 237*q. Let h(g) = 27333*g**2. Determine l(h(t)). 6477921*t**2 Let o(z) = -21*z. Let g be 246/(-287)*14/(-6). Let m(v) = 70*v**2 + 67*v**g - 133*v**2. Give m(o(y)). 1764*y**2 Let i(h) be the first derivative of 2*h**3 + h**2 + 1. Let d(q) be the third derivative of -q**4/12 + 68252*q**2. Determine d(i(x)). -12*x**2 - 4*x Let n(i) = 2*i - 2. Let b(c) be the first derivative of -c**4/6 - 36*c - 70. Let f(g) be the first derivative of b(g). Calculate n(f(d)). -4*d**2 - 2 Let c(j) = -39*j**2. Suppose 0 = -2*m - 2*q - 34, 2*q - 64 = -m + 6*m. Let l(s) = 11*s - 7. Let b(f) = -5*f + 3. Let h(a) = m*b(a) - 6*l(a). Determine h(c(r)). -156*r**2 Let g(q) = 3*q + 12. Let z be 3/(-3) + 16 + 3. Let c be g(z). Let r(m) = -29*m + c*m - 28*m. Let o(h) = 3*h. Determine o(r(n)). 27*n Let r(b) = b + 927. Let x(f) = 6*f + 5253. Let u(d) = -34*r(d) + 6*x(d). Suppose 0 = 4*p, -4*k + p + 20 = -0. Let l(c) = k + 43*c - 5. Give l(u(y)). 86*y Let n(b) = -b**2. Let t(z) be the second derivative of 22*z**3 + z + 1/2*z**2 + 52. What is t(n(q))? -132*q**2 + 1 Suppose 14 = -10*z + 11*z. Let q(y) = 14 - z - 28*y + 27*y. Let c(d) = -96*d**2. Calculate c(q(k)). -96*k**2 Let y(o) = 22*o**2. Let z(k) = 6586561*k**2. Determine y(z(m)). 954421287747862*m**4 Let o(q) = -9*q. Let t = 68 + -66. Let k(n) = -6*n**2 - 4*n**2 + 4*n**2 + 2*n**t. Give o(k(g)). 36*g**2 Let f(y) = 3*y + 7899. Let x(b) = -127*b**2. Calculate f(x(q)). -381*q**2 + 7899 Let t(l) = 19*l + 20. Let o(a) = 11*a + 12. Let v(s) = -5*o(s) + 3*t(s). Let p(n) = -1508*n. Determine p(v(f)). -3016*f Let g(c) = 3388*c + 3342*c - 6692*c. Let o(r) be the first derivative of r**2 - 9. Calculate o(g(y)). 76*y Let s(j) = j**2. Let p = -119 - -121. Let d(t) = 17*t - p + 54*t - 26*t. Let g(b) = 22*b - 1. Let w(n) = -4*d(n) + 9*g(n). Calculate s(w(k)). 324*k**2 - 36*k + 1 Let f(z) = 5*z - 3*z - 1 - 3. Let g(o) = 3*o - 5. Let u(b) = -5*f(b) + 4*g(b). Let c(m) be the first derivative of -19*m**3/3 - 2058. Give u(c(q)). -38*q**2 Let z(p) = p**2 - 12*p - 25. Let w be z(-7). Let n = w + -106. Let l(a) = -5 - 11*a**n + 10*a**2 + 5. Let r(m) = -3*m. Calculate r(l(v)). 3*v**2 Suppose -12*p + 14*p = 8. Let d(j) = j**2 + p*j**2 + 0*j**2 - 3*j**2. Let w(f) = 11
{ "pile_set_name": "DM Mathematics" }
hout replacement from {p: 5, a: 5, t: 1, j: 1, i: 4}. Give prob of sequence tj. 1/240 Calculate prob of sequence bbqk when four letters picked without replacement from {k: 2, q: 1, b: 1, f: 2, a: 1}. 0 What is prob of sequence xv when two letters picked without replacement from cpccvvxipmcivm? 3/182 What is prob of sequence qq when two letters picked without replacement from {x: 3, w: 4, t: 2, a: 1, p: 2, q: 3}? 1/35 What is prob of sequence czz when three letters picked without replacement from {z: 2, c: 10}? 1/66 What is prob of sequence nn when two letters picked without replacement from {n: 2, i: 4, c: 2}? 1/28 Calculate prob of sequence ug when two letters picked without replacement from ggvguvgxqvvgf. 5/156 Two letters picked without replacement from {u: 2, r: 1, v: 11}. Give prob of sequence uv. 11/91 What is prob of sequence ue when two letters picked without replacement from {e: 2, n: 2, u: 1, t: 1}? 1/15 What is prob of sequence gggg when four letters picked without replacement from ggggggg? 1 Calculate prob of sequence iii when three letters picked without replacement from iipicliiiilcllpil. 7/85 Two letters picked without replacement from bmwnbmwbmnbsmmmwbwbb. What is prob of sequence ns? 1/190 Two letters picked without replacement from rskkrrrkrkkrrk. Give prob of sequence kk. 15/91 What is prob of sequence gl when two letters picked without replacement from yglygmgyrlmygygygy? 2/51 Three letters picked without replacement from {m: 2, d: 7}. What is prob of sequence dmm? 1/36 Three letters picked without replacement from yydyyyrryyydrydd. What is prob of sequence rdr? 1/140 What is prob of sequence wssj when four letters picked without replacement from wswwjswwwswswwwsws? 11/2448 Four letters picked without replacement from {d: 2, w: 3, c: 2, y: 3, b: 3, z: 1}. Give prob of sequence dcyc. 1/2002 What is prob of sequence wcwc when four letters picked without replacement from cccwcccccccwc? 1/78 Four letters picked without replacement from esdnf. What is prob of sequence sfen? 1/120 Four letters picked without replacement from bbbkaaaaaajajkajcja. Give prob of sequence bkaa. 3/646 Three letters picked without replacement from kpohhhhohpkp. Give prob of sequence ohk. 1/66 What is prob of sequence tatt when four letters picked without replacement from aatattaaaat? 7/330 Calculate prob of sequence kekm when four letters picked without replacement from {l: 1, m: 1, e: 1, k: 2}. 1/60 Two letters picked without replacement from okkkkion. What is prob of sequence oi? 1/28 Four letters picked without replacement from {y: 14, w: 5}. What is prob of sequence wyyw? 455/11628 Calculate prob of sequence hbo when three letters picked without replacement from waaohaab. 1/336 Three letters picked without replacement from oxoxxooxxo. What is prob of sequence xoo? 5/36 What is prob of sequence mvm when three letters picked without replacement from {m: 3, v: 15}? 5/272 Two letters picked without replacement from tcccttpmxxtqtcmxxmqq. What is prob of sequence pc? 1/95 What is prob of sequence dull when four letters picked without replacement from llulliiludui? 1/198 What is prob of sequence prc when three letters picked without replacement from rpcrcqqcc? 1/63 Three letters picked without replacement from {d: 1, l: 3, b: 1, j: 6, f: 1}. What is prob of sequence jlj? 3/44 What is prob of sequence qsss when four letters picked without replacement from sqqssss? 1/7 Two letters picked without replacement from lohohl. What is prob of sequence hl? 2/15 Four letters picked without replacement from rfft. Give prob of sequence ffrt. 1/12 Three letters picked without replacement from {p: 2, c: 1}. What is prob of sequence ppp? 0 Calculate prob of sequence xa when two letters picked without replacement from {a: 6, x: 2}. 3/14 Calculate prob of sequence bo when two letters picked without replacement from owalb. 1/20 Two letters picked without replacement from ggtv. Give prob of sequence vt. 1/12 What is prob of sequence vvbb when four letters picked without replacement from vvvbbbbvvv? 1/14 What is prob of sequence xxcr when four letters picked without replacement from {r: 2, c: 1, w: 5, x: 1}? 0 What is prob of sequence sbb when three letters picked without replacement from pspspbmeeembe? 1/429 Three letters picked without replacement from vuuvavvuvvuuvaav. What is prob of sequence uuv? 1/21 Two letters picked without replacement from {z: 1, j: 2, x: 1}. Give prob of sequence zx. 1/12 Three letters picked without replacement from {p: 2, w: 1, a: 2}. What is prob of sequence app? 1/15 Three letters picked without replacement from kkkqkqkq. Give prob of sequence kkk. 5/28 Calculate prob of sequence tx when two letters picked without replacement from traaxxratarr. 1/33 Two letters picked without replacement from {s: 6, p: 2}. What is prob of sequence ss? 15/28 Calculate prob of sequence yyp when three letters picked without replacement from yyyp. 1/4 Two letters picked without replacement from {b: 2, j: 5, h: 4, i: 7}. Give prob of sequence ih. 14/153 Three letters picked without replacement from lfpfppfpplll. Give prob of sequence flf. 1/55 Calculate prob of sequence hv when two letters picked without replacement from {v: 5, h: 3, s: 2}. 1/6 Two letters picked without replacement from oymmabbw. What is prob of sequence bo? 1/28 Calculate prob of sequence uqd when three letters picked without replacement from uuddddqqdddd. 4/165 Calculate prob of sequence kk when two letters picked without replacement from {b: 8, d: 7, k: 2, u: 1, j: 1}. 1/171 Three letters picked without replacement from {w: 6, o: 9, g: 2, j: 1}. What is prob of sequence wjg? 1/408 Four letters picked without replacement from {q: 11, d: 5, a: 2, m: 1}. What is prob of sequence qaam? 11/46512 What is prob of sequence esw when three letters picked without replacement from dserrwssssesssdsrsss? 1/285 Two letters picked without replacement from {d: 6, j: 13}. Give prob of sequence jd. 13/57 Three letters picked without replacement from jljfjjjgugjjxjj. Give prob of sequence lxf. 1/2730 Three letters picked without replacement from {k: 3, o: 1}. Give prob of sequence kok. 1/4 Calculate prob of sequence rgg when three letters picked without replacement from {g: 2, r: 2}. 1/6 What is prob of sequence hpyy when four letters picked without replacement from {p: 2, y: 2, h: 3, l: 4}? 1/660 Three letters picked without replacement from jtxtwtjtttjjtttx. Give prob of sequence xjx. 1/420 Calculate prob of sequence ml when two letters picked without replacement from nilmkmmkckcncck. 1/70 Two letters picked without replacement from {g: 3, n: 1, l: 2, w: 7, q: 1}. What is prob of sequence gw? 3/26 Four letters picked without replacement from rnlllnddkrlrrrrvrkrl. What is prob of sequence drll? 8/2907 Calculate prob of sequence gln when three letters picked without replacement from gnchcccl. 1/336 Three letters picked without replacement from hazlzflavaaz. Give prob of sequence vfa. 1/330 Calculate prob of sequence eb when two letters picked without replacement from bbeee. 3/10 Two letters picked without replacement from {k: 1, s: 5, e: 1, m: 4, w: 1, g: 1}. What is prob of sequence ss? 5/39 What is prob of sequence aooo when four letters picked without replacement from ooaooooaaa? 2/21 Three letters picked without replacement from kpzhhae. What is prob of sequence zak? 1/210 Two letters picked without replacement from {j: 9}. What is prob of sequence jj? 1 Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkk. 1 Calculate prob of sequence dz when two letters picked without replacement from {k: 3, d: 4, z: 2}. 1/9 What is prob of sequence jj when two letters picked without replacement from {j: 7, a: 6}? 7/26 What is prob of sequence gs when two letters picked without replacement from gsjxsssgsssgisgxsgg? 3/19 Three letters picked without replacement from {f: 10, n: 2, a: 1, y: 7}. Give prob of sequence nyy. 7/570 What is prob of sequence uccu when four letters picked without replacement from ququupcqqqzcupqc? 3/1820 Four letters picked without replacement from {k: 2, z: 1, a: 1, i: 2}. What is prob of sequence zkai? 1/90 What is prob of sequence kcf when three letters picked
{ "pile_set_name": "DM Mathematics" }
663, 7665? 2*x + 7659 What is the n'th term of -25328, -25327, -25326, -25325? n - 25329 What is the b'th term of -93, -125, -139, -129, -89, -13, 105, 271? b**3 + 3*b**2 - 48*b - 49 What is the y'th term of 9748, 19355, 28962? 9607*y + 141 What is the c'th term of 864, 844, 850, 894, 988? 2*c**3 + c**2 - 37*c + 898 What is the x'th term of -23881, -47729, -71577, -95425? -23848*x - 33 What is the d'th term of -108256, -108249, -108240, -108229, -108216, -108201? d**2 + 4*d - 108261 What is the h'th term of -7320, -14848, -22376, -29904, -37432? -7528*h + 208 What is the i'th term of -1248432, -1248433, -1248434, -1248435, -1248436? -i - 1248431 What is the p'th term of 6641, 6704, 6809, 6956, 7145, 7376, 7649? 21*p**2 + 6620 What is the s'th term of -21, 58, 257, 630, 1231, 2114, 3333? 9*s**3 + 6*s**2 - 2*s - 34 What is the f'th term of -564, -2300, -5200, -9270, -14516, -20944, -28560, -37370? -f**3 - 576*f**2 - f + 14 What is the l'th term of -61934, -61929, -61918, -61901, -61878, -61849? 3*l**2 - 4*l - 61933 What is the v'th term of 302, 412, 546, 698, 862? -v**3 + 18*v**2 + 63*v + 222 What is the w'th term of -972, -1048, -1124, -1200, -1276? -76*w - 896 What is the n'th term of -379, -620, -709, -640, -407, -4? n**3 + 70*n**2 - 458*n + 8 What is the g'th term of -827, -3535, -8047, -14363, -22483, -32407, -44135? -902*g**2 - 2*g + 77 What is the y'th term of 432196, 432205, 432214? 9*y + 432187 What is the m'th term of 52, 283, 918, 2161, 4216, 7287, 11578, 17293? 34*m**3 - 2*m**2 - m + 21 What is the d'th term of -2859, -5608, -8357, -11106, -13855, -16604? -2749*d - 110 What is the n'th term of -1951, -3811, -5673, -7537, -9403? -n**2 - 1857*n - 93 What is the l'th term of -10047, -20074, -30101, -40128? -10027*l - 20 What is the w'th term of -1082, -4254, -9542, -16946, -26466, -38102, -51854? -1058*w**2 + 2*w - 26 What is the a'th term of 2213, 1376, -19, -1972? -279*a**2 + 2492 What is the w'th term of -519, -1753, -3811, -6693, -10399, -14929, -20283? -412*w**2 + 2*w - 109 What is the z'th term of -3760, -7604, -11474, -15376, -19316, -23300? -z**3 - 7*z**2 - 3816*z + 64 What is the u'th term of 49, 556, 1939, 4636, 9085? 73*u**3 - 4*u - 20 What is the b'th term of 82463, 82460, 82457? -3*b + 82466 What is the k'th term of 206, 314, 518, 866, 1406, 2186, 3254? 8*k**3 + 52*k + 146 What is the m'th term of -3004, -6013, -9022, -12031, -15040? -3009*m + 5 What is the i'th term of 876, 859, 832, 795, 748? -5*i**2 - 2*i + 883 What is the u'th term of -7154, -7073, -6992? 81*u - 7235 What is the x'th term of -527, -949, -1369, -1787, -2203? x**2 - 425*x - 103 What is the v'th term of -14386, -14370, -14344, -14308, -14262? 5*v**2 + v - 14392 What is the r'th term of 4085, 16363, 36829, 65483, 102325? 4094*r**2 - 4*r - 5 What is the v'th term of 162, 380, 596, 810, 1022? -v**2 + 221*v - 58 What is the y'th term of -223010, -446016, -669022, -892028, -1115034? -223006*y - 4 What is the p'th term of -6102, -6087, -6072, -6057, -6042, -6027? 15*p - 6117 What is the b'th term of -101108, -101102, -101094, -101084? b**2 + 3*b - 101112 What is the o'th term of 15477, 30941, 46405, 61869? 15464*o + 13 What is the h'th term of -738179, -1476354, -2214529, -2952704, -3690879, -4429054? -738175*h - 4 What is the x'th term of 23226, 23225, 23224, 23223, 23222? -x + 23227 What is the y'th term of -1260, -5073, -11430, -20331, -31776, -45765? -1272*y**2 + 3*y + 9 What is the q'th term of 421, 793, 1069, 1207, 1165, 901? -7*q**3 - 6*q**2 + 439*q - 5 What is the u'th term of -229, -420, -737, -1180, -1749, -2444? -63*u**2 - 2*u - 164 What is the s'th term of -457, -1794, -4001, -7060, -10953, -15662, -21169, -27456? 3*s**3 - 453*s**2 + s - 8 What is the k'th term of -127, -252, -375, -496, -615, -732? k**2 - 128*k What is the o'th term of 443, 425, 393, 347? -7*o**2 + 3*o + 447 What is the h'th term of 123, 130, 149, 186, 247, 338, 465? h**3 + 122 What is the r'th term of 21469, 42845, 64221, 85597? 21376*r + 93 What is the k'th term of 2943, 5152, 7361, 9570, 11779, 13988? 2209*k + 734 What is the g'th term of 2763, 5494, 8211, 10908, 13579, 16218, 18819, 21376? -g**3 - g**2 + 2741*g + 24 What is the y'th term of -1079, -1057, -999, -887, -703, -429? 3*y**3 + y - 1083 What is the x'th term of -55938, -55939, -55940, -55941? -x - 55937 What is the w'th term of 1564, 3132, 4708, 6286, 7860? -w**3 + 10*w**2 + 1545*w + 10 What is the n'th term of 31, 172, 385, 658, 979? -2*n**3 + 48*n**2 + 11*n - 26 What is the h'th term of -10492, -20935, -31336, -41701, -52036, -62347, -72640, -82921? -h**3 + 27*h**2 - 10517*h - 1 What is the p'th term of -109362, -109357, -109354, -109353, -109354, -109357? -p**2 + 8*p - 109369 What is the n'th term of -13, 9, 37, 71, 111? 3*n**2 + 13*n - 29 What is the y'th term of 4556, 4534, 4506, 4478, 4456, 4446, 4454, 4486? y**3 - 9*y**2 - 2*y + 4566 What is the j'th term of 356, 1395, 3126, 5549, 8664, 12471? 346*j**2 + j + 9 What is the d'th term of -109, -588, -1631, -3436, -6201? -33*d**3 - 84*d**2 + 4*d + 4 What is the a'th term of 847, 858, 871, 886, 903, 922, 943? a**2 + 8*a + 838 What is the x'th term of -6912, -13795, -20682, -27579, -34492? -x**3 + 4*x**2 - 6888*x - 27 What is the m'th term of 26, 433, 1558, 3761, 7402? 60*m**3 - m**2 - 10*m - 23 What is the v'th term of -2292, -2310, -2328, -2346, -2364, -2382? -18*v - 2274 What is the r'th term of 16819, 67210, 151195, 268774, 419947? 16797*r**2 + 22 What is the c'th term of -19857, -39716, -59575, -79434? -19859*c + 2 What is the d'th term of 198, 812, 1876, 3420, 5474, 8068? 5*d**3 + 195*d**2 - 6*d + 4 What is the c'th term of 23820, 47518, 71216, 94914, 118612? 23698*c + 122 What is the t'th term of -1441, -2361, -3281, -4201? -920*t - 521 What is the t'th term of -109, -254, -501, -904, -1517, -2394, -3589, -5156? -9*t**3 + 3*t**2 - 91*t - 12 What is the k'th term of -356, -1523, -3472, -6209, -9740, -14071, -19208, -25157? -k**3 - 385*k**2 - 5*k + 35 What is the m'th term of -114, -492, -1130, -2034, -3210, -4664? -m**3 - 124*m**2 + m + 10 What is the l'th term of 1019, 1009, 977, 911, 799, 629, 389? -2*l**3 + l**2 + l + 1019 What is the a'th term of 6846, 13688, 20530, 27372, 34214, 41056? 6842*a + 4 What is the u'th term of 86339, 172668, 259009, 345368, 431751, 518164, 604613? u**3 + 86322*u + 16 What is the z'th term of 176, 579, 978, 1373, 1764, 2151, 2534? -2*z**2 + 409*z - 231 What is the l'th term of -2596, -2574, -2526, -2446, -2328, -2166? l**3 + 7*l**2 - 6*l - 2598 What is the i'th term of 19, 87, 205, 373, 591, 859? 25*i**2 - 7*i + 1 What is the o'th term of 52, 51, 56, 73, 108, 167, 256? o**3 - 3*o**2 + o + 53 What is the t'th term of 4874, 4386, 3058, 470, -3798, -10166, -19054, -30882? -70*t**3 + 2*t + 4942 What is the n'th term of -232, -462, -688, -904, -1104, -1282? n**3 - 4*n**2 - 225*n - 4 What is the x'th term of -12855, -12939, -13029, -13125, -13227? -3*x**2 - 75*x - 12777 What is the v'th term of -34, -36, -14, 50, 174? 3*v**3 - 6*v**2 - 5*v - 26 What is the b'th term of 783, 704, 625, 546? -79*b + 862 What is the b'th term of -1247, -4994, -11225, -19928, -31091, -44702, -60749, -79220? 2*b**3 - 1254*b**2 + b + 4 What is the n'th term of 36861, 73725, 110601, 147495, 184413, 221361, 258345, 295371? n**3 + 36857*n + 3 What is the g'th term of 65, 571, 1951, 4643, 9085? 73*g**3 - g**2 - 2*g - 5 What is the r'th term of -128, -360, -592, -824, -1056? -232*r + 104 What is the b'th term of 10, -36, -168, -416, -810, -1380? -5*b**3 - 13*b**2 + 28*b What is the z'th term of 16703, 16718, 16733, 16748, 16763? 15*z + 16688 What is the l'th term of -174, -161, -140, -105, -50? l**3 - 2*l**2 + 12*l - 185 What is the o'th term of -10829, -86611, -292307, -692873, -1353265, -2338439, -3713351? -10826*o**3 - o**2 + 3*o - 5 What is the g'th term of 114, 166, 244, 348? 13*g**2 + 13*g + 88 What is the x'th term of -87709, -87703, -87697, -87691, -87685, -87679? 6*x - 87715 What is the z'th term of 33090, 66106, 99120, 132132, 165142? -z**2 + 33019*z + 72 What is the b'th term of -3229326, -3229324, -3229322? 2*b - 3229328 What is the m'th term of -57382, -57384, -57396, -57424, -57474, -57552, -57664, -57816? -m**3 + m**2 + 2*m - 57384 What is the r'
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {j: 9, x: 5, r: 2}. What is prob of picking 3 x? 1/56 Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {o: 1, h: 1, q: 2, k: 5}. 1/84 Three letters picked without replacement from {o: 2, a: 1, s: 3, u: 3, q: 1, w: 1}. Give prob of picking 2 o and 1 q. 1/165 What is prob of picking 3 l when three letters picked without replacement from lzzzzlzzlzlzzzlz? 1/56 Four letters picked without replacement from dofvdv. Give prob of picking 2 d, 1 f, and 1 v. 2/15 Two letters picked without replacement from clcoolco. Give prob of picking 2 l. 1/28 Two letters picked without replacement from ojjoojjojj. Give prob of picking 2 j. 1/3 Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wrwrwgwwwgww. 8/33 What is prob of picking 2 q and 1 l when three letters picked without replacement from qqdqqnnlq? 5/42 Three letters picked without replacement from {u: 12, z: 1, d: 1}. Give prob of picking 2 u and 1 z. 33/182 Four letters picked without replacement from {b: 3, a: 4, q: 6, h: 3, t: 4}. What is prob of picking 2 a and 2 q? 6/323 Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, z: 3, q: 2, k: 5, b: 1}. 5/66 What is prob of picking 1 q and 1 i when two letters picked without replacement from ooqeioi? 2/21 Three letters picked without replacement from mffjffumjfff. Give prob of picking 3 f. 7/44 Two letters picked without replacement from {o: 4, d: 3}. What is prob of picking 2 o? 2/7 What is prob of picking 1 u and 1 l when two letters picked without replacement from {e: 6, v: 7, o: 2, l: 4, u: 1}? 2/95 Three letters picked without replacement from {r: 2, u: 6, f: 5}. Give prob of picking 1 f and 2 u. 75/286 What is prob of picking 4 n when four letters picked without replacement from {n: 8, u: 3}? 7/33 What is prob of picking 2 w, 1 c, and 1 h when four letters picked without replacement from hwcchhccwhhhch? 5/143 Calculate prob of picking 1 k, 1 e, and 1 b when three letters picked without replacement from {q: 5, f: 2, e: 2, y: 1, k: 6, b: 3}. 12/323 Three letters picked without replacement from dfdfvnihhidnfd. What is prob of picking 1 n and 2 f? 3/182 Two letters picked without replacement from {t: 1, z: 11}. Give prob of picking 2 z. 5/6 Four letters picked without replacement from {p: 5, m: 2, f: 1, w: 3, r: 1, b: 1}. What is prob of picking 1 p, 1 r, 1 w, and 1 b? 3/143 Calculate prob of picking 1 h, 1 w, and 1 p when three letters picked without replacement from whnnnwwwwphwwwwp. 9/140 Four letters picked without replacement from {v: 2, t: 4, r: 1, u: 4, d: 2, c: 6}. Give prob of picking 2 v, 1 d, and 1 c. 1/323 What is prob of picking 2 m and 2 x when four letters picked without replacement from mxxmxxmx? 3/7 Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {c: 1, j: 12, d: 7}. 11/190 Calculate prob of picking 2 c and 2 o when four letters picked without replacement from coooooco. 3/14 Four letters picked without replacement from {l: 3, s: 4, j: 2, c: 2}. Give prob of picking 2 c and 2 l. 1/110 What is prob of picking 1 j and 2 r when three letters picked without replacement from nnjlrununuuuuunrnu? 1/816 What is prob of picking 3 f when three letters picked without replacement from fwf? 0 What is prob of picking 1 y, 2 p, and 1 x when four letters picked without replacement from {x: 6, y: 5, p: 2}? 6/143 Two letters picked without replacement from hcxxxjhbhhxccb. What is prob of picking 1 j and 1 c? 3/91 Two letters picked without replacement from vavywewvwadwaw. What is prob of picking 1 a and 1 y? 3/91 Four letters picked without replacement from {j: 11, q: 2, u: 1, g: 2}. Give prob of picking 2 j and 2 u. 0 Calculate prob of picking 2 o and 1 u when three letters picked without replacement from ouuuuuoffo. 1/8 Calculate prob of picking 1 h, 1 d, and 1 c when three letters picked without replacement from dhsddjdhscjchjddcdj. 21/323 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 2, y: 3, x: 1, o: 4, s: 1}. 6/55 Three letters picked without replacement from pkkpkkkppnpn. Give prob of picking 1 k and 2 p. 5/22 Two letters picked without replacement from {r: 2, s: 2, c: 1}. What is prob of picking 2 r? 1/10 Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}. 1 Two letters picked without replacement from {o: 1, f: 1, d: 4, x: 9, s: 2}. Give prob of picking 1 f and 1 o. 1/136 Calculate prob of picking 3 y and 1 x when four letters picked without replacement from xyyxxyxyyxyxyyxy. 21/65 What is prob of picking 1 n, 1 d, and 2 c when four letters picked without replacement from {c: 2, m: 3, n: 1, o: 3, d: 1}? 1/210 What is prob of picking 2 m when two letters picked without replacement from jhhhhhhhhmjm? 1/66 Calculate prob of picking 1 p and 2 g when three letters picked without replacement from glmgmlgpgmlggm. 15/364 Two letters picked without replacement from komin. Give prob of picking 1 m and 1 n. 1/10 Three letters picked without replacement from {q: 10, b: 2, y: 2, e: 2, m: 2, p: 2}. What is prob of picking 1 b and 2 y? 1/570 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {u: 1, m: 1, b: 1, r: 1, z: 1}. 1/10 Four letters picked without replacement from sssssss. What is prob of picking 4 s? 1 Three letters picked without replacement from hbbwtbzwwtzl. What is prob of picking 1 w, 1 h, and 1 z? 3/110 Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {u: 1, x: 1, d: 2, q: 2, e: 2}. 1/28 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {l: 1, b: 6, j: 1, o: 1}. 5/28 What is prob of picking 2 y and 1 v when three letters picked without replacement from {v: 11, y: 2}? 1/26 Four letters picked without replacement from zyyssyzzyyz. What is prob of picking 1 s, 2 z, and 1 y? 2/11 Calculate prob of picking 1 p and 1 a when two letters picked without replacement from pappppa. 10/21 Calculate prob of picking 2 t when two letters picked without replacement from pgrgnpgtztgng. 1/78 Three letters picked without replacement from {r: 6, x: 1, d: 1, c: 5, p: 1}. Give prob of picking 1 d, 1 p, and 1 x. 1/364 Three letters picked without replacement from {y: 2, u: 3, r: 2, c: 4, a: 2, v: 1}. What is prob of picking 2 a and 1 c? 1/91 What is prob of picking 1 c and 1 z when two letters picked without replacement from zcczcc? 8/15 What is prob of picking 2 q when two letters picked without replacement from iqqiii? 1/15 What is prob of picking 3 k when three letters picked without replacement from skkhfkgkssf? 4/165 Two letters picked without replacement from {h: 1, r: 2, v: 8, l: 4, i: 1}. What is prob of picking 2 v? 7/30 Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, b: 2}. 7/12 Three letters picked without replacement from brsbhh. Give prob of picking 2 h and 1 r. 1/20 Two letters picked without replacement from llblllblll. What is prob of picking 1 b and 1 l? 16/45 What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 5, v: 9}? 45/182 Three letters picked without replacement from {y: 4, o: 1, p: 4, n: 3, h: 2}. Give prob of picking 1 p, 1 n, and 1 h. 6/91 Two letters picked without replacement from tttoootttttottottt. Give prob of picking 2 o. 10/153 Calculate prob of picking 2 m and 1 q when three letters picked without replacement from {p: 2, w: 2, r: 6, v: 1, q: 4, m: 3}. 1/68 Two letters picked without replacement from {l: 4, h: 5, f: 7}. Give prob of picking 1 l and 1 f. 7/30 Three letters picked without replacement from bzpapbbbaabaappa. Give prob of picking 1 p, 1 b, and 1 z. 1/28 Two letters picked without replacement from jijiiiiiiijjij. What is prob of picking 1 i and 1 j? 45/91 Two letters picked without replacement from {j: 3, m: 2, i: 9, t: 2, q: 3}. What is prob of picking 1 i and 1 q? 3/19 Calculate prob of picking 2 w when two letters picked without replacement from {q: 7, w: 9}. 3/10 Two letters picked without replacement from uunnuquunnqnnuquqnq. What is prob of picking 1 n and 1 u? 49/17
{ "pile_set_name": "DM Mathematics" }
5}. Give prob of picking 1 k and 3 a. 35/143 What is prob of picking 2 s when two letters picked without replacement from axssasssaxsssa? 4/13 Two letters picked without replacement from onooooooononooo. What is prob of picking 2 o? 22/35 Calculate prob of picking 3 n and 1 d when four letters picked without replacement from dnntqnqn. 2/35 Calculate prob of picking 1 e and 3 t when four letters picked without replacement from ettttttttet. 28/55 Four letters picked without replacement from nnjnjnyynnynnnjy. What is prob of picking 2 y and 2 n? 54/455 Calculate prob of picking 3 s and 1 r when four letters picked without replacement from ssrrs. 2/5 What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 1, k: 1, q: 1, d: 2, w: 1}? 1/28 What is prob of picking 1 u and 2 f when three letters picked without replacement from {f: 11, u: 1}? 1/4 Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 1, q: 1, g: 1, w: 1, p: 1}. 1/10 Calculate prob of picking 1 o and 3 s when four letters picked without replacement from {q: 2, s: 7, o: 2}. 7/33 Calculate prob of picking 1 i, 1 h, and 1 l when three letters picked without replacement from {z: 7, h: 3, n: 1, i: 4, l: 3}. 3/68 Three letters picked without replacement from ggggogaogglaogl. What is prob of picking 3 g? 8/65 Two letters picked without replacement from uueeu. Give prob of picking 1 e and 1 u. 3/5 What is prob of picking 1 f and 2 o when three letters picked without replacement from uochhohuouffouoh? 1/28 What is prob of picking 3 h when three letters picked without replacement from hhhlllllhlhh? 1/11 What is prob of picking 3 g and 1 n when four letters picked without replacement from {n: 1, g: 3, o: 3}? 1/35 Calculate prob of picking 2 l when two letters picked without replacement from rvvlvvllvrvv. 1/22 Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 5, m: 8}. 40/143 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {a: 2, f: 6, r: 3, u: 2, h: 5, b: 1}. 2/57 Two letters picked without replacement from {j: 1, h: 2, a: 1, d: 4}. Give prob of picking 1 d and 1 a. 1/7 Three letters picked without replacement from sxbspsxsppbpbsssp. Give prob of picking 2 p and 1 b. 3/68 Two letters picked without replacement from {n: 3, a: 8}. Give prob of picking 2 a. 28/55 Two letters picked without replacement from jcjevcovljvv. What is prob of picking 1 c and 1 v? 4/33 What is prob of picking 1 t and 1 w when two letters picked without replacement from wwtwttt? 4/7 Calculate prob of picking 2 f when two letters picked without replacement from fwlfllwslsllllllfsl. 1/57 Three letters picked without replacement from vxfhvffvdvvx. What is prob of picking 2 x and 1 d? 1/220 Two letters picked without replacement from viiwrgd. Give prob of picking 1 w and 1 d. 1/21 Two letters picked without replacement from kfyk. What is prob of picking 1 y and 1 f? 1/6 Two letters picked without replacement from vzvpvpvvvvzvv. Give prob of picking 2 p. 1/78 Two letters picked without replacement from clclrlrlpnr. Give prob of picking 1 c and 1 l. 8/55 Three letters picked without replacement from {i: 7, m: 2}. Give prob of picking 3 i. 5/12 Three letters picked without replacement from hsswwwsshwhwwswwsr. What is prob of picking 1 s, 1 r, and 1 h? 3/136 What is prob of picking 2 y when two letters picked without replacement from {y: 2, w: 16}? 1/153 What is prob of picking 3 a and 1 d when four letters picked without replacement from {z: 1, o: 3, y: 4, a: 5, i: 1, d: 1}? 2/273 Three letters picked without replacement from wswwswswsw. Give prob of picking 2 w and 1 s. 1/2 What is prob of picking 1 d and 3 p when four letters picked without replacement from {p: 3, d: 4}? 4/35 Calculate prob of picking 1 g and 3 q when four letters picked without replacement from {i: 1, l: 1, f: 1, q: 4, g: 1}. 2/35 Two letters picked without replacement from xevjerrb. Give prob of picking 1 v and 1 x. 1/28 Calculate prob of picking 1 z, 1 j, 1 m, and 1 k when four letters picked without replacement from kkzmuukjukmujzkkrz. 2/85 Two letters picked without replacement from {d: 4, j: 2}. What is prob of picking 2 d? 2/5 Three letters picked without replacement from ywmwyyyyymyjyb. What is prob of picking 2 y and 1 j? 1/13 What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 2, b: 16}? 32/153 Two letters picked without replacement from chhehehchhhhhh. What is prob of picking 2 h? 45/91 Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {q: 1, d: 2, t: 4, z: 3}. 1/15 Calculate prob of picking 1 s and 2 t when three letters picked without replacement from dtttddtcwtstctpttpt. 15/323 What is prob of picking 2 g and 1 q when three letters picked without replacement from ggfqq? 1/5 Four letters picked without replacement from {g: 1, m: 3, t: 3, j: 2, n: 3, w: 2}. What is prob of picking 1 w, 2 j, and 1 m? 6/1001 What is prob of picking 1 o and 1 i when two letters picked without replacement from oiimmmkmqikqmqqdidm? 4/171 Three letters picked without replacement from {p: 2, g: 5, o: 2}. Give prob of picking 1 p and 2 o. 1/42 Three letters picked without replacement from ffffuuuffuffff. What is prob of picking 3 f? 30/91 What is prob of picking 2 g when two letters picked without replacement from {d: 2, g: 2, e: 1}? 1/10 Three letters picked without replacement from lgollsslgoglgol. What is prob of picking 1 l and 2 o? 18/455 Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, u: 1}. 1/2 Calculate prob of picking 1 y and 1 c when two letters picked without replacement from catcattayttt. 1/33 Two letters picked without replacement from {f: 3, c: 4, l: 1, z: 8, o: 1}. Give prob of picking 1 c and 1 z. 4/17 Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {h: 4, t: 2, e: 3, o: 2}. 2/165 Three letters picked without replacement from vanmp. Give prob of picking 1 m and 2 a. 0 Three letters picked without replacement from {k: 2, j: 5, c: 7}. What is prob of picking 2 j and 1 c? 5/26 Three letters picked without replacement from {j: 7, p: 5}. Give prob of picking 2 j and 1 p. 21/44 What is prob of picking 1 l and 2 k when three letters picked without replacement from {k: 4, l: 1, t: 3}? 3/28 Four letters picked without replacement from {e: 3, f: 2, s: 7}. What is prob of picking 4 s? 7/99 Two letters picked without replacement from {f: 1, s: 2, t: 1, m: 2, g: 1, z: 2}. Give prob of picking 2 s. 1/36 Two letters picked without replacement from ccjcjjjcbjj. What is prob of picking 1 j and 1 c? 24/55 Two letters picked without replacement from jibsvsvg. What is prob of picking 1 b and 1 i? 1/28 Two letters picked without replacement from fskfuujb. What is prob of picking 1 s and 1 f? 1/14 What is prob of picking 1 w, 1 t, and 1 h when three letters picked without replacement from htwhwwhwhtwhhtwth? 21/85 Calculate prob of picking 2 a and 2 j when four letters picked without replacement from jjavaava. 3/35 Two letters picked without replacement from {m: 2, u: 3, v: 1, k: 4, d: 1, i: 1}. Give prob of picking 1 k and 1 i. 2/33 Three letters picked without replacement from {z: 4, x: 5, h: 4, q: 3}. Give prob of picking 1 q and 2 h. 9/280 What is prob of picking 1 d and 1 r when two letters picked without replacement from rrdibdrbrbbdidb? 16/105 Two letters picked without replacement from {w: 2, k: 1, p: 2, b: 1, r: 1}. What is prob of picking 1 p and 1 r? 2/21 What is prob of picking 1 z and 3 d when four letters picked without replacement from {z: 3, d: 9, s: 7}? 21/323 Three letters picked without replacement from {t: 3, r: 3, a: 4, e: 1, g: 4, n: 2}. Give prob of picking 1 e and 2 r. 3/680 What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 1, k: 9, e: 2, b: 2}? 2/91 Three letters picked without replacement from yhqyyex. What is prob of picking 1 y, 1 q, and 1 h? 3/35 Calculate prob of picking 2 t when two letters picked without replacement from {g: 2, h: 1, t: 2}. 1/10 Two letters picked without replacement from ppueqxuv. What is prob o
{ "pile_set_name": "DM Mathematics" }
*(-6 + 1 + 4) in the form d + w*u**2 + a*u and give d. -3 Rearrange 0*u**2 - 3*u**2 + 7*u**2 - 3*u**2 to a*u + o*u**2 + i and give o. 1 Express -5*y**2 + 3*y**2 - 28*y + 18*y in the form d + s*y**2 + t*y and give s. -2 Rearrange -5*v + 0*v**3 + 4*v**3 - v**3 + 2 + 2*v**4 to j*v**4 + c*v**2 + z*v + y*v**3 + k and give j. 2 Express (-12 - 23*r + 8 + 2)*(3*r - 3*r + 2*r) in the form i*r**2 + m + p*r and give i. -46 Rearrange (-31 - 13*k + 31)*(0*k + 0*k + 3*k) to the form y + t*k**2 + c*k and give t. -39 Express (1 - 2 - 1)*(33*v**3 - 20*v**3 - 19*v**3) + v**3 + v**2 - v**2 in the form d*v**3 + n*v**2 + y + q*v and give n. 0 Rearrange (3 + 1 - 1)*(2*z - 6*z + 2*z) + 5*z - 2*z - 2*z to the form k + x*z and give x. -5 Express -7 - 3 - 41*y + 10 in the form z*y + d and give z. -41 Express (8*l + 6*l - 7*l)*(-6 + 5 + 3) as k + h*l and give h. 14 Express g**2 + g + 0*g**2 + 0 - 4 + 5 as m + q*g**2 + v*g and give q. 1 Express (0*t**2 + t**2 + 0*t**2)*(-19*t + 1 + 2*t - 3*t**2 + 5*t) as o*t**3 + y + h*t + d*t**2 + k*t**4 and give k. -3 Express (4*j + 2*j - 4*j)*((0 + 2 - 4)*(2 - 2 + 4) - 4 + 4 - 3) as y + q*j and give q. -22 Express (12*a - 4*a + 15*a)*(1 - 4 + 5) as l + m*a and give m. 46 Rearrange (-1 + 3 - 1)*(0 + 0 + i)*(-2 - 42 - 10) to the form x*i + o and give x. -54 Express -3*c**2 + 8*c + 4*c - 10*c - c**4 in the form u*c**3 + d*c**2 + n*c + g*c**4 + a and give n. 2 Rearrange (0 - 2 + 1)*(0 + 0 + a)*(-3 - 1 + 2 + 2 - 1 - 3 + 1 - 3 + 1 + 1 - 1 - 2 + (1 - 3 + 0)*(0 - 1 + 2) - 3 - 3 + 2) to d + n*a and give n. 13 Express -3*u**2 + 3*u**2 + 2*u**2 + (-3*u + 2*u + 2*u)*(2*u - 2 + 2) + 50 - 50 + 85*u**2 as y*u**2 + n + r*u and give r. 0 Rearrange (1 + 0 + 4)*(-22 + 22*c + 22) to j*c + q and give j. 110 Express -1 + 3 + 2*d**2 - 13*d**4 + 0*d**2 - 3*d + 5*d - d**3 in the form f*d**4 + l*d**2 + x*d**3 + v + k*d and give f. -13 Rearrange 4 - 6 - p - 2*p**3 + 4*p to the form d + n*p**2 + c*p + l*p**3 and give l. -2 Rearrange -q**2 - 2 + 3 - 1904*q + 1903*q - 3*q**4 to the form a + c*q**4 + d*q**3 + s*q**2 + v*q and give a. 1 Rearrange (6*p - 7*p - 6*p)*(6*p**3 - 5*p**3 - 4*p**3) - 2*p + 3*p**4 + p - 5*p**4 to the form m*p**3 + b*p**2 + z*p**4 + o*p + a and give a. 0 Express 0*o + o**2 + 0*o + (-1 + 5 - 2)*(2*o**2 + o**2 - 2*o**2) + o + o + o**2 - 3*o in the form v + z*o**2 + h*o and give z. 4 Express (-2*o - 3*o + 3*o + o + 4*o - 4*o + (-o - o + 3*o)*(1 + 1 - 1) + 1 + 2*o - 1)*(15 - 4 + 9)*(-3 + 2 - 1) in the form q + j*o and give j. -80 Rearrange 5*k**2 - 14 + 14 + (-147*k + 2 - 10*k**2 + 147*k)*(0 + 5 - 4) to o*k**2 + s + n*k and give o. -5 Express -7*w - 30 + 3*w + 6*w as b + f*w and give b. -30 Express ((-4 - 1 + 6)*(2 - 2*p**3 - 2) - 2*p**2 + 2*p**2 - p**3)*(-3*p + 2*p - 4*p) in the form r*p**2 + h + t*p**3 + w*p + j*p**4 and give j. 15 Rearrange 2*f**3 + 103*f**4 - 2*f**3 + 72*f**4 + (1 - 1 - f)*(f**3 - f**2 + f**2) to the form r*f**3 + u*f**4 + i + w*f + a*f**2 and give u. 174 Rearrange -5*v**2 + 3*v**2 - 2*v**2 - 11*v**2 to b*v**2 + a*v + f and give b. -15 Express -3*w + 8*w + 51*w**4 - 50*w**4 + 1 as r*w + j*w**4 + z*w**2 + a*w**3 + k and give j. 1 Rearrange 3*a + 0*a**4 - 13*a**3 - 4 + 14*a**3 + 3*a - a**4 to the form g*a**3 + w + t*a + m*a**4 + p*a**2 and give w. -4 Rearrange -27*g - 325 + 325 to u + c*g and give c. -27 Express 3 + 1483*w**2 - 2 - 1490*w**2 + 4*w**3 in the form v + q*w**3 + y*w**2 + j*w and give q. 4 Express 4 + 3*z - 4 - 10*z as k*z + p and give k. -7 Rearrange 0*h - 2*h**2 + 5*h**2 + 2*h**3 - 3*h - 4*h**2 to m + v*h**3 + l*h**2 + a*h and give a. -3 Express -4*r + r + 5*r + 19*r in the form h + p*r and give p. 21 Rearrange (6*p - 3*p**2 - p - 3*p)*(2 - 2 - p)*(3 - 2 + 7) to the form l*p**2 + a*p + v + b*p**3 and give l. -16 Express 0 + q**3 + 0 + (-1 + 4*q + 1)*(-q**2 + 3 - 3) as g*q**2 + z*q + j + k*q**3 and give k. -3 Rearrange 10*o**2 - 10*o - 12*o - 1 + 21*o to the form n + c*o + m*o**2 and give m. 10 Rearrange -m + m - 3*m**2 + (-m - 3 + 3)*(2 - 2 + 3*m) to z*m + f*m**2 + o and give f. -6 Express (1 - 1 - 3)*(0*w - 3*w + 4*w)*(-1 + 1 + 1) in the form q + t*w and give t. -3 Express -w - 3*w**3 + 0*w + 3*w + w**3 - w**2 - 2 as x*w**3 + j*w + b + s*w**2 and give s. -1 Rearrange (-3*y + y + 3*y)*(1 - 3 + 4)*(2 - 13 + 4)*(1 - 2 + 4) to v*y + n and give v. -42 Rearrange -2*r**2 + 24 - 14 - r**2 to a*r**2 + g + i*r and give a. -3 Rearrange -4*z**4 - 5*z + 0*z**4 - 6*z**2 - 2*z**3 + 6*z**4 + 3*z to c*z + p*z**4 + v + x*z**2 + n*z**3 and give n. -2 Rearrange 3*y + 10 + 2*y + y - 3*y to the form d + c*y and give d. 10 Express (2 + 0 - 1)*(23*q - 33 + 18 + 16) in the form c + n*q and give n. 23 Rearrange -44*x + x**3 + 2*x**2 + 44*x to z*x**3 + v + s*x + m*x**2 and give z. 1 Express (-i + 3*i - 5*i + (-1 - 1 + 4)*(1 - 1 - 3*i) + 3 - 3 + 2*i)*(1 + 3 - 3) as h + l*i and give l. -7 Express 12 + 7*v - 25*v + 5*v + 7*v in the form o + q*v and give q. -6 Rearrange 55*b**2 - 2*b**2 + 1 + 1 to q*b**2 + j*b + z and give z. 2 Express 1543*l - 1543*l + 78*l**2 as k*l + o + w*l**2 and give w. 78 Rearrange 2*l**2 + 3*l**3 + 4*l**2 - 3*l**2 - 2*l**3 to the form f + c*l**3 + n*l**2 + k*l and give f. 0 Rearrange ((-4*a + 4*a + a)*(0*a + a + 0*a) + 21 + 9*a**2 - 21)*(-5 + 3 + 0) to i*a**2 + y*a + w and give i. -20 Express -6*m - 18*m + 11*m**3 - 2 - 24*m**3 + m**2 + 11*m**3 in the form b + d*m + s*m**2 + o*m**3 and give b. -2 Rearrange (0 + 0 + p**2)*(-16*p**2 + 14*p**2 - 35*p**2) to h*p + f + o*p**2 + t*p**3 + g*p**4 and give g. -37 Rearrange (s + 11*s - 3*s)*(2 + 0 - 3) + (-1 + 4 - 5)*(0*s + 0*s - 2*s) to the form l*s + u and give u. 0 Rearrange 2*b**3 + 0*b - 4*b + b**2 - 15*b - 11*b to the form g + q*b + a*b**3 + y*b**2 and give a. 2 Express -97 + 14*m + 37 + 30 + 31 in the form b + x*m and give x. 14 Express -21*g + 5*g + 13*g in the form v*g + n and give v. -3 Express -1 + t**4 + 50*t**3 - 102*t**3 + 49*t**3 - 3*t**2 as p + w*t**3 + d*t**2 + i*t**4 + x*t and give d. -3 Rearrange -2*z**2 + 2*z**3 + z**2 + 2*z**2 + (-2*z**2 + 3 - 3)*(-2*z + 0*z - z) to the form q*z + s + y*z**3 + t*z**2 and give y. 8 Rearrange (6 - 2 - 3)*(-x**4 + 6*x**4 + x**4) + (0*x**4 + 2*x**4 - 3*x**4)*(-4 - 2 + 4) + x**3 - 3*x**4 - x**3 to s*x + r*x**3 + l*x**4 + m + y*x**2 and give l. 5 Rearrange -259*n + n**2 + 259*n - n**3 to the form i*n**3 + g*n**2 + u*n + t and give g. 1 Express g + 8*g**2 - 9*g**3 - 12*g**2 + 4*g**2 in the form d*g + l*g**3 + c*g**2 + f and give d. 1 Express 56 + 49*r - 56 as j*r + w and give j. 49 Express (2*q**4 - q**3 + q**3)*(-1 + 2 + 1) + 2*q**2 - 2*q**2 + 2*q**4 - 22*q**3 + 79*q**4 + 22*q**3 in the form x*q**2 + t*q**4 + r*q + h*q**3 + n and give t. 85 Rearrange -5*n + 2*n**4 + 14*n**3 + 11*n**3 + 3*n + 1 - 9*n**3 to the form u*n**2 + b*n + c + v*n**3 + j*n**4 and give v. 16 Rearrange 19*b + b + 39*b to the form v + f*b and give v. 0 Express (4*x - x + 0*x)*(x - 8 - 2*x - x**2 - 19) as b + u*x**2 + h*x + m*x**3 and give h. -81 Rearrange 7*v + 0*v**2 - 65 + 64 + 3*v**4 + v**2 to the form b*v**4 + z*v + o + l*v**2 + h*v**3 and give l. 1 Express -116*i + 236*i - 119*i - 27*i**2 in the form v + g*i**2 + s*i and give s. 1 Rearrange 2*w + 19*w**2 + 4*w - 20*w**2 + 2*w**3 to the form x*w**2 + k + l*w + d*w**3 and give x. -1 Rearrange (2*a**3 + 0*a**3 + 0*a**3)*(-107 - 28*a + 107) to the form p + f*a**2 + c*a**4 + k*a**3 + y*a and give c. -56 Rearrange -11*i - 3 - 15*i + 33*i to the form v*i + m and give m. -3 Express (-42 + 24 + 184)*(2*z**3 + 4*z - 4*z) in the form l*z**2 + j*z + n*z**3 + m and give n. 332 Rearrange (-c**2 - 3*c**2 + 3*c**2)*(-74*c - 158 + 158) to i*c**3 + x*c**2 + d*c + p and give i. 74 Rearrange (-t - t + t)*(-1 + 5*t + 1) to the form h*t**2 + f*t + i and give h. -5 Express (-7 + 6 + 4)*(-3*g - 2 + 11*g - 6*g)*(1 - 2 + 2) as l*g + q and give q. -6 Express (1 - 1 - 1)*(-6*m**2 + 2*m**2 + m**2) + 7*m**2 + 8*m**2 - 27*m**2 as j*m**2 + b + d*m and give j. -9 Rearrange -11*z - 4 - 14*z + 4 to w*z + n and give w. -25 Rearrange -1 - 12*p**3 - 2*p - 6*p**3 + 3*p**3 to the form x*p + h*p**2 + g*p**3 + z and give z. -1 Express -127*y + 509 - 509 as m + c*y and give c. -127 Rearrange -2*g - 3*g + 2*g - g + g + 3*g + 2*g - g + g + (1 + 0 - 2)*(-3*g + 4*g - 5*g) to the form h*g + v and give h. 6 Rearrange -42*p**2 - 7 + 9 + p - 2 to f +
{ "pile_set_name": "DM Mathematics" }
*2 + 0 - 1/6*f**3 + f. Determine i(4). -4 Let h(b) = -2*b**3 + 3*b**2 - 6*b. Let f(q) = -3*q**3 + 3*q**2 - 7*q. Let w(n) = -3*f(n) + 4*h(n). Give w(-4). -4 Let y(p) = p + 13. Let q(a) = -3*a - 38. Let f = 2 - -6. Let i(b) = f*y(b) + 3*q(b). Let s(v) = 2*v + 1. Let c be s(-3). Calculate i(c). -5 Let z(v) be the first derivative of -v**4/4 - 5*v**3/3 + 5*v**2/2 - 3*v + 43. Give z(-6). 3 Let a(l) be the first derivative of 2 - 1/2*l**2 + 5/4*l**4 - 1/3*l**3 - l. Let p = 26 + -27. Calculate a(p). -6 Let h(n) = 6*n**3 - 4*n - 3. Let o(g) = 11*g**3 - 9*g - 7. Let z(p) = 7*h(p) - 3*o(p). Calculate z(-1). -8 Let d(m) = -m + 2*m**2 + 3*m**2 - 9*m**2 + 3*m**2 + 2. Let t be -1 + (1 - 2 - -2). Give d(t). 2 Let b(s) = 3*s**2 + 4*s. Let z be b(-2). Let n(y) = -3 + 4 - 2*y**2 - y + 3*y**2. Determine n(z). 13 Let d(f) = f**3 + 3*f**2 + f - 4. Suppose 4*l + 20 = -4*c, -l - 2*l + 4*c = 8. What is d(l)? -24 Let d(i) = -i + 2. Suppose x + 10 = 6*x. Suppose -8 = -x*h + 2. Calculate d(h). -3 Let p(v) be the first derivative of v + 4/3*v**3 - 4 + 1/2*v**2. What is p(-1)? 4 Let o(r) = -r**3 - r**2 - r - 9. Let q(m) = m**2 + m - 2. Suppose 2*j - 4*j - 4 = 0. Let w be q(j). What is o(w)? -9 Let o(g) = -5*g**3. Let j be -2*(0 + 4/8). What is o(j)? 5 Let c(n) = -2*n + 4. Let f(o) = o + 8. Let g be f(-9). Let i = g - -6. Give c(i). -6 Let r(s) = s**3 - 3*s**2 - 4*s + 3. Let b be r(4). Let h(f) = f + 4 - b*f + f. Let i be 1 + (-3)/3 + 0. What is h(i)? 4 Let k(q) = -q**3 + 2*q**2 + 4. Let j(d) = d**2 + 7*d + 8. Let i be j(-6). Let y(t) = -3*t**3 + 5*t**2 + 7. Let p(m) = i*y(m) - 5*k(m). Give p(0). -6 Suppose 0*l = 4*l + 3*n - 5, 4*n = -4*l + 8. Let k(f) = 17*f + 1. Determine k(l). -16 Let y(p) = -7*p - 1. Let h(s) be the second derivative of -5*s**3/3 - s**2 - 2*s. Let o(v) = -5*h(v) + 7*y(v). Give o(-5). -2 Let f = -5 + 9. Let c(p) = -f*p + 6*p - 3*p. Suppose -28 = 4*x + 4*k, 2*x + k = -4 - 8. Calculate c(x). 5 Let c(d) = 2*d + 2. Let g = -13 + 8. Let b = g - -9. Suppose -2*q - 2*p = -2, 2*q - b*p = 3*q + 2. Determine c(q). 6 Let a(z) = -2*z**3 - 7*z**2 + 4*z - 2. Let v(h) be the first derivative of 3*h**4/4 + 10*h**3/3 - 3*h**2 + 3*h + 5. Let t(o) = 7*a(o) + 5*v(o). Determine t(2). 9 Let k(p) = p - 10. Let s(t) = t - 3*t + 21 + 4*t - 4*t. Let u(n) = -13*k(n) - 6*s(n). Determine u(2). 2 Let v = -36 + 30. Let r(k) = k + 7. Calculate r(v). 1 Let k(n) be the second derivative of 7*n**3/6 + n**2/2 - 3*n - 3. Let u = 0 + 1. Determine k(u). 8 Let c(l) = 3*l + 4. Let m(x) = -x - 3. Let a(y) = y + 4. Let i(j) = -3*a(j) - 4*m(j). Let s be i(2). Suppose 4*h + 6*p = p - 26, s*h = 2*p - 4. What is c(h)? -8 Suppose 5*z = -2*s + 21 - 0, -4*s - 2*z + 2 = 0. Let d be (-6)/s - (-1 + -1). Let g(b) = b**2 - 6*b + 1. Calculate g(d). -4 Let x(d) = d**3 - d**2 - 3*d + 3. Let v(u) = 2*u - 6. Let k be v(4). What is x(k)? 1 Let c(j) be the second derivative of j**3/6 + 5*j**2/2 - j. Calculate c(-4). 1 Let x(s) be the first derivative of -s**4/4 - 4*s**3/3 - s**2/2 - s - 14. Give x(-4). 3 Let g(v) = 4 + 0 - 4*v**2 - 2 - 3*v + 2 - v**3. Determine g(-3). 4 Let l(g) be the third derivative of g**6/120 - 7*g**5/60 + g**4/24 - 9*g**2. Calculate l(7). 7 Let c(j) = -3 + 3*j + 1 - 1 + 2. Let z(g) = g - 1. Let s(o) = -c(o) + z(o). Determine s(3). -6 Let t(i) be the third derivative of i**4/24 + 5*i**3/2 - 17*i**2. Calculate t(-7). 8 Let z = 6 - 10. Let i(p) = -p**2 - 5*p - 4. Calculate i(z). 0 Let j(t) be the second derivative of -t + 0*t**2 - 1/120*t**5 - 1/24*t**4 + 0 - 1/3*t**3. Let i(m) be the second derivative of j(m). Calculate i(-4). 3 Let n = 14 - 15. Let w(x) be the first derivative of x**2 - 1/2*x**4 + 2/3*x**3 + x + 1. Calculate w(n). 3 Let p(f) = f**2 + 7*f - 12. Suppose 25 = -5*s, -3*i + 0 = -5*s + 2. Calculate p(i). 6 Let c(f) be the third derivative of 1/12*f**4 - 2*f**2 + 1/40*f**5 + 0*f + 0 - 1/240*f**6 + 0*f**3. Let s(q) be the second derivative of c(q). Determine s(3). -6 Let j be 2/(-4)*(-4 - 0). Let o(b) = -j + 3 + 3*b + 0. Suppose 0 = 2*l, 0 = -2*x - 3*l + 4 - 0. Determine o(x). 7 Let p(h) = h**2 + 1. Let q(w) = -5*w**2 + 3*w - 7. Let t(n) = 6*p(n) + q(n). Suppose -a = m - 4, -m - 5*a + 2 = -3*a. Let b = m + -9. Calculate t(b). -1 Let h(i) = -5*i - 2. Let g = 10 - 8. Determine h(g). -12 Suppose -2*a = 0, -4*x - 3*a - 5 = 7. Let c(q) = -1 + 13*q - 27*q + 10*q. Give c(x). 11 Let v(b) be the second derivative of 2*b**3/3 + 3*b**2 - 18*b. Give v(-7). -22 Let o(b) = -b**2 + 7*b. Let m(s) = -s + 1. Let d = 0 + -6. Let c be ((-3)/9)/(2/d). Let t(v) = c*o(v) + 2*m(v). Give t(6). -4 Let g(s) be the first derivative of -s**4/4 - 4*s**3/3 + 5*s - 1. Let z be g(-4). Let n(j) = j**3 - 6*j**2 + 4*j - 2. What is n(z)? -7 Let g = 1 + -3. Suppose k - 5 + 3 = 0. Let b(t) = -1 - k*t**2 + 2 - 2*t - 4 - t**3. Determine b(g). 1 Let f = 21 + -13. Suppose 3*q + 35 = f*q. Let p(t) = -2*t - 1 - q - t**3 + 3*t. Give p(0). -8 Let h(d) be the first derivative of -7*d**2/2 + 5*d - 3. Let o(y) = y. Let s(m) = -h(m) - 5*o(m). Let p be s(5). Let u(q) = q**2 - 8*q + 5. What is u(p)? -10 Let v(w) be the second derivative of -3*w**4/4 + w**3/6 - 5*w. Determine v(-1). -10 Let x(c) = c**3 + 4*c**2 - 4*c - 3. Let i = 1 + -6. What is x(i)? -8 Let y(n) = -n**3 + 3*n**2 + 6*n - 3. Let r be 6/(-5)*20/(-6). Calculate y(r). 5 Suppose 3*p + 9 = 2*p + 2*g, 4*g - 17 = 3*p. Suppose 16 = -i + 5*j, -4*i + 3*j + 3 = -p. Let b(v) = v - i + 4. Give b(4). 4 Let a(k) = -4*k**3 + 2*k**2 + 6*k + 3. Let z = -5 + 8. Let t(v) = -5*v + 4 - 3 - 4 + z*v**3 - 2*v**2. Let i(g) = 2*a(g) + 3*t(g). What is i(3)? -3 Let t be (-4 - -3) + 9/3. Let g(d) = d**2 - d + 1. Give g(t). 3 Let d(p) = 4*p + 7. Let r(z) = 2*z + 3. Let h(b) = -6*d(b) + 13*r(b). Calculate h(3). 3 Let q(i) = i**3 - 6*i**2 - i + 1. Let k be ((-4)/(-6))/((-6)/(-54)). Calculate q(k). -5 Suppose 90 = -13*d + 18*d. Let v be d/(-27) + (-10)/(-6). Let a(l) = -2 + l**2 - 10*l**2 + 1. Calculate a(v). -10 Suppose 7*c = 2*c. Let d(w) = -4 + w**2 - w + c - w. Suppose 5*o + 2*z = -0*z + 21, -o + 15 = 4*z. Determine d(o). -1 Let b(r) = -9*r + 5 - 6*r**3 + 5*r**3 + 10*r. What is b(0)? 5 Let y be 0 + 3 - (-2)/2. Let n(t) = 5 - y - 2 + 2 - t. Let x(a) = a**2 - 3*a - 1. Let i be x(4). Determine n(i). -2 Let q(u) be the third derivative of -1/3*u**3 + 0*u + 3*u**2 + 0 + 1/15*u**5 + 1/120*u**6 - 1/24*u**4. Let d = -8 + 4. Give q(d). 2 Let v be (-2)/5 - 108/30. Let x(m) be the third derivative of -m**4/24 - 2*m**3/3 - 2*m**2. What is x(v)? 0 Let i(y) = -y - 1. Let l(d) = -d**2 + 5. Suppose 0 = 3*v - 0*v. Let b be l(v). What is i(b)? -6 Let h be -2 + 2 + (-9)/(-3). Suppose 4*y = -4*t - 10 + 46, -3*t - 5*y + 17 = 0. Let k(v) = -v - 11 + 0*v + t. Determine k(h). 0 Suppose 2*f - 12 = -2*d, -4*d + 5*f + 18 = 3*f. Let r(p) = 0 - 1 + p + d. Give r(0). 4 Let t(x) be the first derivative of -x**3/3 - x**2 - 2*x + 5. What is t(-3)? -5 Let q(v) = 15*v. Let c(w) = 15*w. Let s(h) = 5*c(h) - 6*q(h). Determine s(1). -15 Let a(n) = -n**3 - n**2 + n + 1. Suppose 9 + 3 = -2*w + 4*d, 2*w - d + 6 = 0. Calculate a(w). 3 Let k be (-4)/(2/(-6) - -1). Let l be 2/k + (-44)/12. Let h(w) be the second derivative of -w**3/6 - w. Calculate h(l). 4 Let i = -24 + 28. Let r(s) = s**3 - 4*s**2 + 3*s - 1. Determine r(i). 11 Let r(g) = g**3 + 3*g**2 - 2*g + 1. Suppose 0 = -v - 3*v + 28. Suppose 0*w = j - 2*w - 8, 5*w + v = -4*j. Suppose -m - 12 = j*m. What is r(m)? -7 Let x(p) be the third derivative of 1/4*p**4 - 1/120*p**6 + p**2 - p**3 + 0*p + 0 - 1/12*p**5. What is x(-6)? -6 Let w(r) = -8*r + 1. Let b(d) = -d**2 + 6*d + 1. Let l be -6*(2 + (-16)/6). Let z be (-2 - 2)*(-6)/l. Let n be b(z). Determine w(n). -7 Let u(y) = -y**3 - 7*y**2 + 8*y + 12. Let x(a) = 7*a**3 - a**2. Let w be x(-1). Determine u(w). 12 Let m(r) = -r + 5. Suppose -4*g = 22 - 2. Let d be 84/9 - 2/6. Let s = d + g. What is m(s)? 1 Suppose 0 = -5*u + 9 + 1. Let x(t) = -t - 10 + u + 2 + 0*t. Calculate x(-6). 0 Suppose 0 = -5*s - u - 4, -3*s - u - 3 = s. Let m(z) = -2*z + 7*z + 1 - 6*z. Let x be m(s). Let o(h) = 3*h. Give o(x). 6 Let l(p) = 6*p**2 - 2*p + 7. Let k(h) = -6*h**2 + 2*h - 6. Let j(u) = 6*k(u) + 5*l(u). Calculate j(1). -5 Let s(z) = -6*z + 13. Let p(c) = 3*c - 6. Let d = 5 + 1. Let u(x) = d*s(x) + 13*p(x). Suppose 4*t = 3*f - 2*f - 3, -5*t - 4*f - 30 = 0. W
{ "pile_set_name": "DM Mathematics" }
12) - sqrt(112)*1))**2 + -3*((sqrt(84)/sqrt(3) - sqrt(28))/sqrt(4)*3)**2 + -5. -56*sqrt(7) + 156 Simplify ((3*2*sqrt(119)*-2*4)/(4*sqrt(4032)*1 - sqrt(4032)))**2. 68/9 Simplify (-1*sqrt(102)*-1)/(sqrt(6) - sqrt(384)*-3) + ((sqrt(17) - 6*sqrt(17)*1) + 1)**2 + (1 + sqrt(68)/sqrt(4) - -2*sqrt(17)*-1)**2. -299*sqrt(17)/25 + 444 Simplify ((sqrt(88)/sqrt(4) - sqrt(22))*5 + -3*sqrt(22)*3)/((sqrt(128) - -1*sqrt(128))*5 + 5*sqrt(128)*-1). -9*sqrt(11)/40 Simplify (4 + (-1*sqrt(500))**2)*2 - (6*(sqrt(45) + sqrt(270)/sqrt(6)) + sqrt(45))/(4*sqrt(144)). -13*sqrt(5)/16 + 1008 Simplify (5*3*(sqrt(7) - (sqrt(7) - sqrt(70)/(sqrt(20)/sqrt(2) + sqrt(10))))*-4)**2 + 3 + 0 + ((sqrt(1008) + sqrt(1008) + 1*sqrt(1008)*3)**2 - sqrt(1008)). -12*sqrt(7) + 31503 Simplify -5*-5*(3 + (sqrt(147) + -2 - sqrt(147))) + (0 + -3 + sqrt(147) + -3*sqrt(147) + -5)**2. 224*sqrt(3) + 677 Simplify 5 + 2 + (-5*(0 + sqrt(76)*2*-5 + sqrt(76) + -3*(sqrt(76)*-2 + sqrt(76))))**2 + 0. 68407 Simplify ((sqrt(2112) + -4*(sqrt(2112) + (sqrt(2112) - 1*sqrt(2112) - sqrt(2112))) - (sqrt(2112) - -2*sqrt(2112)*-1))/(-2*(4*sqrt(48))/sqrt(4)))**2. 11 Simplify 3 + sqrt(1539) + (sqrt(1539) - (sqrt(1539)*1 + 1))**2 + 0 + ((1 + 3*sqrt(171)*-1)*-4)**2. -279*sqrt(19) + 24644 Simplify ((-2*sqrt(1872) + -4 - (sqrt(1872) + 1)*1 - (-4 + sqrt(1872)*2)*-5) + 0 + 2 + -4)**2. -4536*sqrt(13) + 92457 Simplify (5*(1*(sqrt(12) + 0 + sqrt(132)/sqrt(11)) - sqrt(1452)*-3*-1))**2*-6. -1729800 Simplify 3*((sqrt(720)*2 + -2)**2 + (sqrt(720) - (1 + -1*sqrt(720)) - sqrt(720))) + ((3*sqrt(50)*-5)/((sqrt(10)*-2 + sqrt(10))*1))**2. -252*sqrt(5) + 9774 Simplify (((sqrt(234) + sqrt(26))/sqrt(2) + sqrt(52) + 3)*-2)**2 + (sqrt(13) + 1)*5 + sqrt(208) + 4 + 2. 153*sqrt(13) + 1919 Simplify (((sqrt(7) + -5 + sqrt(7) + sqrt(7))*4*4 + -4)**2 + -4 + (2*sqrt(49)/sqrt(7)*-5)**2)*-4. -95520 + 32256*sqrt(7) Simplify ((sqrt(15)*-1*-1)/(sqrt(33)/(sqrt(44)/sqrt(4))) - (sqrt(120)/sqrt(4)*4)/(5*1*sqrt(6)))*-3. -3*sqrt(5)/5 Simplify (sqrt(288) - sqrt(288)*-1)*3 - (5 + (-1 + sqrt(2))*-3)**2 - (((sqrt(162) + -1*sqrt(162)*-6 - sqrt(162))*6)**2 + -2). -210032 + 120*sqrt(2) Simplify (-4 + (-1 + sqrt(1300) + 2 - -4*(sqrt(1300) + 1 + sqrt(1300))) - ((sqrt(117)*3 + 4 - sqrt(117))*-3 + -4))**2. 3672*sqrt(13) + 151921 Simplify ((sqrt(686)*-2*6*-6)/((sqrt(14)/(sqrt(7)*1 + sqrt(7)) + (sqrt(2) + sqrt(18)*-2 - sqrt(2)))*-1))**2. 7112448/121 Simplify 2 + (4*sqrt(19)*-1*4)**2 + sqrt(475) + 4 + -3 + -5. 5*sqrt(19) + 4862 Simplify -4 + ((5*4*sqrt(52) - sqrt(130)/(-1*sqrt(160) + sqrt(10)))*-3 + -1)**2. 242*sqrt(13) + 190330 Simplify ((3 + sqrt(288)*-1 - sqrt(288) - sqrt(288))*-3 + ((-1*sqrt(288))**2 + 3 - (3 + (-1 + sqrt(288))**2)))*-3. -396*sqrt(2) + 30 Simplify (0 + (4*(sqrt(175)*2 - sqrt(175))*3 - (sqrt(175) + -1 + sqrt(175) + sqrt(175) + 0 + sqrt(175)*2 + 2))**2)*3. -210*sqrt(7) + 25728 Simplify -2 + 2 + (-3*sqrt(14)*-5*1)/(6*-5*sqrt(200)). -sqrt(7)/20 Simplify -5 + ((4 + sqrt(1377) + 0)*-3 + -1)**2*-6*4*-1. 16848*sqrt(17) + 301483 Simplify (sqrt(8)*-2*4)/((sqrt(140)/sqrt(5))/sqrt(7)) - ((sqrt(16) - sqrt(80)/sqrt(5))*5)/(-3*sqrt(200)). -8*sqrt(2) Simplify (-2 + ((5*(sqrt(98) - (sqrt(98) + -1)) + -1)*1 - (sqrt(98) + (-2 + sqrt(98))*2 - (0 + sqrt(98))*-4)))**2. -588*sqrt(2) + 4838 Simplify (-5 + (-3 + 4*(sqrt(1872) + 2) - 1*(0 + sqrt(1872) + -1)))**2 + -3. 72*sqrt(13) + 16846 Simplify ((-1 + (-1*sqrt(704) + -1 - sqrt(704) - sqrt(77)/((sqrt(7) + sqrt(112))*-6)) + -1)*1)**2. 479*sqrt(11)/5 + 2531951/900 Simplify ((-2*sqrt(363))**2 - (-1 + sqrt(3)*2)) + -2 + (-2 + sqrt(75) - sqrt(75) - sqrt(75))**2 + -1. 18*sqrt(3) + 1529 Simplify -4*(-6*1*((sqrt(432) + 1 - sqrt(432)) + 5) + (0 + -3*sqrt(432) + sqrt(432) - -1*sqrt(432)*-4)). 144 + 288*sqrt(3) Simplify (sqrt(130)/sqrt(160) + (sqrt(52)/sqrt(4) - sqrt(13)) + 0 - (-4 + sqrt(7488))**2)*3. -22512 + 2307*sqrt(13)/4 Simplify (((1*sqrt(225)*5 + sqrt(225))/(sqrt(15)/(sqrt(9)/sqrt(3))))/(((-1*sqrt(54))/sqrt(6) - sqrt(9)) + (sqrt(252)/sqrt(7))/sqrt(4)))**2. 180 Simplify (1*sqrt(832)*-3 + 2)*5 - ((sqrt(832) + -2)**2*-3 - (sqrt(832) + 3 + -5 - sqrt(832))**2). -216*sqrt(13) + 2522 Simplify ((-6*(sqrt(91) - sqrt(91)*-3) + sqrt(91) + sqrt(91) + -2*(sqrt(91) - 1*sqrt(91)))/((-5*sqrt(7)*-2 + sqrt(77)/(sqrt(11)*1) + sqrt(7))*-6))**2. 1573/1296 Simplify ((6*sqrt(26)*-2)/(sqrt(288) + sqrt(288)*2 + sqrt(288) + sqrt(2)))**2 + 2 + (((-2*sqrt(325) - sqrt(325)) + -2)**2 - sqrt(325)). 55*sqrt(13) + 7039203/2401 Simplify (-2 + (-1 + sqrt(112) + 0 + sqrt(112) - (-3 + 1 + sqrt(112) - sqrt(112))))**2 + (sqrt(112)*1 + 5*sqrt(14)/sqrt(2))*6*-3. -178*sqrt(7) + 449 Simplify ((4*2*sqrt(152) + sqrt(152) - (sqrt(152) - -2*sqrt(152)*-2))/((-1*(sqrt(88) - sqrt(88)*-1))/(sqrt(891)*2)))**2. 221616 Simplify -5 + ((sqrt(1500) + (sqrt(1500) - sqrt(1500)*-1*-6) - -3*sqrt(1500)*-2)/(sqrt(720)*-3 + (sqrt(405)*-1 - sqrt(405))))**2 + -4. 313/243 Simplify (sqrt(32)/(sqrt(2)*-4) - (sqrt(1936) + 1*sqrt(1936)))/(sqrt(288)*4 + -5*sqrt(48)/sqrt(6)). -89*sqrt(2)/76 Simplify (0 + (6*sqrt(187)*3 - (sqrt(187) + sqrt(187)*-2*-4))/(1*sqrt(704)*2*-2))**2. 1377/1024 Simplify (0 + (-3*(sqrt(20)/sqrt(4) - sqrt(5)) - sqrt(160)/sqrt(8)) + (sqrt(1715) + -2*sqrt(1715) + sqrt(1715) - sqrt(1715))/(-2*sqrt(252)))**2. 1445/144 Simplify ((sqrt(143) - (sqrt(143)*2*-5 - sqrt(143))) + 3*sqrt(143)*4)/((sqrt(22) - (sqrt(198) + 1*sqrt(198))/sqrt(9))/(sqrt(2) - (sqrt(2) + -1*sqrt(128)))). -192*sqrt(13) Simplify ((-1 + -4*(sqrt(425) + 2) - (2 + 6*(-2 + sqrt(425)))) + -5)**2. 400*sqrt(17) + 42516 Simplify (-2 + 1 + -4 + sqrt(76) + sqrt(76) + -4)**2*-3 + -4. -1159 + 216*sqrt(19) Simplify (5*(sqrt(264)*-1*3)/sqrt(11))/(sqrt(512)*1*-5 + sqrt(512) + 2*(sqrt(512) - 1*sqrt(512))). 15*sqrt(3)/32 Simplify 2 + 3*(-1 + sqrt(980) + 0)**2 + ((1*(sqrt(80) - (sqrt(80)*2 + sqrt(80)) - sqrt(80)))/(1*sqrt(4)*-1))**2. -84*sqrt(5) + 3125 Simplify (-2*sqrt(55)*-1)/((-3*sqrt(77) + sqrt(77))/sqrt(7)) - ((sqrt(160)/sqrt(64) + sqrt(40))/(sqrt(32)/sqrt(16)))**2. -125/4 - sqrt(5) Simplify ((2 + -1*sqrt(539))*-2 + 3*-4*sqrt(539)*-5)**2 + 4. -3472*sqrt(11) + 2071936 Simplify 2 + (sqrt(76)*-4*-3)/(5*sqrt(196))*-1. -12*sqrt(19)/35 + 2 Simplify (-5*(-2 + ((4 + (sqrt(99) - 2*sqrt(99) - sqrt(99)) + sqrt(99))*-5 + -1)*-1))**2*-3. -212700 + 42750*sqrt(11) Simplify ((-3*sqrt(1815) + sqrt(165)/(sqrt(55)/sqrt(5)))/(3*sqrt(720) - sqrt(45)/(-1*sqrt(9))))**2. 3072/1369 Simplify (sqrt(3087) + 1 + sqrt(3087) + -1)**2 + 2 - (-1*sqrt(5103)*-1 - (3*(sqrt(5103) - (0 + sqrt(5103))))**2). -27*sqrt(7) + 12350 Simplify -3*(-5 + (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1 + 1)) - (sqrt(2736)*2 + 3)) - (((sqrt(2736) + 1)*2 - (sqrt(2736) - -1*sqrt(2736))*5) + 1))**2. -402555 + 5544*sqrt(19) Simplify (1*-2*sqrt(104) - (sqrt(104) - 3*sqrt(104)*-3))/(sqrt(64)/sqrt(2) - sqrt(32) - sqrt(40)/sqrt(5)*-1)*6. -72*sqrt(13) Simplify (sqrt(38) + sqrt(190)/sqrt(5)*5)/(sqrt(54)/sqrt(3) - sqrt(2)) + (2*(2*sqrt(114) + sqrt(114)))/(sqrt(24)*2). 9*sqrt(19)/2 Simplify (-2*(2*sqrt(13) + 5 + 4) - (sqrt(156) + (sqrt(156) + (sqrt(156) - (sqrt(156) - 2*sqrt(156))))*1)/(-3*sqrt(24)/sqrt(2)))**2*4*6. 2304*sqrt(13) + 29984/3 Simplify ((sqrt(104) + (sqrt(104)*-4 - sqrt(104)))/sqrt(8) - (-3*3*sqrt(13))**2) + (sqrt(832) - 1*sqrt(832))**2 + 4 + 5. -1044 - 4*sqrt(13) Simplify -4 + 4 + ((sqrt(350)*-2*1 - sqrt(350))/(sqrt(128)*1 + sqrt(2) + sqrt(2) + sqrt(8)*-2))**2. 175/4 Simplify ((4*(sqrt(130)*-3 - sqrt(130)) + -1*2*sqrt(130))/((sqrt(4050)*2)/((sqrt(45) + sqrt(45)*1 + sqrt(45) - sqrt(45))/sqrt(9))))**2. 52 Simplify 4*(-3*-5*-1*sqrt(720))**2 + (((sqrt(720)*2)**2 + sqrt(720))*4 - (sqrt(720) + 1)*-3). 84*sqrt(5) + 659523 Simplify 4 + (5 + sqrt(95)/sqrt(5)*-3 + sqrt(38)/(sqrt(98)*-2 + sqrt(98)))**2*6 + 4. -1320*sqrt(19)/7 + 62918/49 Simplify ((-5 + -6*(sqrt(468) + -2))*-3 + (1 + sqrt(65)/sqrt(5)*-1)*2*-3)**2. -6156*sqrt(13) + 169677 Simplify 5 + 5 + ((2 + -1*sqrt(300)*-6)**2 - (1*(2 + sqrt(300) + 1 + sqrt(300)))**2). 120*sqrt(3) + 9605 Simplify 2 + sqrt(700) + sqrt(700) + ((sqrt(700) - (sqrt(700) + -2 + sqrt(700)))*-5)**2 + sqrt(700)*-1*-1 + -1*(-1*sqrt(700) + 1) + 0. -960*sqrt(7) + 17601 Simplify ((sqrt(342) + sqrt(342) + 2*sqrt(342)*-2)/(sqrt(81)*-1 + sqrt(9)))/((sqrt(288)*-2 - sqrt(288))/((sqrt(20)*-2)/sqrt(5))). sqrt(19)/9 Simplify (sqrt(66)/sqrt(294) + -5*sqrt(77)/sqrt(7) + sqrt(8
{ "pile_set_name": "DM Mathematics" }
+ 1296*f + 3 wrt f? -21006*f Find the second derivative of 26*f**4*i - f**3*i**2 + 29*f**2*i - 3*f*i**2 - 736*i**2 wrt f. 312*f**2*i - 6*f*i**2 + 58*i Find the first derivative of -4196*j**4 + 2802 wrt j. -16784*j**3 Find the third derivative of -22*s**4 + 14*s**3 - 5*s**2 + 230. -528*s + 84 What is the first derivative of -2*k**3*p - 10358*k**3 + 3001*p**2 wrt p? -2*k**3 + 6002*p What is the second derivative of 2*z**3 - 89*z**2 - 565*z? 12*z - 178 What is the first derivative of 7922*u**2 + 2*u + 3796 wrt u? 15844*u + 2 Find the second derivative of 181*g*w**4 + 116*g*w wrt w. 2172*g*w**2 Find the first derivative of -1015*p + 741 wrt p. -1015 Differentiate -5*i*l**3 + 42*i*l*u**3 - 4*l**3*u - 3*l**2*u**3 with respect to i. -5*l**3 + 42*l*u**3 Find the first derivative of -432*p**2 + 2*p + 2037 wrt p. -864*p + 2 What is the second derivative of -1338*h**3*m - 3*h**3 + h**2*m + 2*h**2 - 9*h*m - 3*h - 10*m + 8 wrt h? -8028*h*m - 18*h + 2*m + 4 Find the third derivative of 4761*d**3*q**3 - 6*d**3*q - d**3 - 2*d*q**2 + 20 wrt q. 28566*d**3 What is the second derivative of -214*d**2*t**3 - d - 40*t**3 - 2*t wrt d? -428*t**3 Differentiate 8*p**2*w + 4*p**2 + 3*p*w**3 + p*w + 4*p + 12*w**2 + 235 with respect to w. 8*p**2 + 9*p*w**2 + p + 24*w What is the third derivative of -954*x**3 - 150*x**2 + x? -5724 What is the derivative of 1732*j + 1680 wrt j? 1732 What is the first derivative of 21*c*f**2*g - 4*c*f*r**2 - 16*c*g*r + 6*f**2*g - 24*f*g*r**2 + 2*f*r - 5*r**2 wrt c? 21*f**2*g - 4*f*r**2 - 16*g*r Find the third derivative of -4*p**3*s**3 + 71*p**3*s**2*z**3 - 11*p**2*s**2 + 17*p*s*z - 2*s**3*z**2 - 2*z**3 wrt p. -24*s**3 + 426*s**2*z**3 Find the second derivative of -12*r**4 + r**3 - 136*r**2 + 5209*r. -144*r**2 + 6*r - 272 Find the third derivative of -849*j**6 + j**5 - 144*j**2 + 4*j wrt j. -101880*j**3 + 60*j**2 Differentiate -19023*m**2 + 9795. -38046*m Differentiate -15521*k - 7461 wrt k. -15521 What is the derivative of 1108*v + 17411 wrt v? 1108 Find the third derivative of -11724*q**5 + 6790*q**2 wrt q. -703440*q**2 Find the third derivative of -28*c**4 + 233*c**2. -672*c Find the third derivative of -4*d**2*s**3*y + d**2*s**2*y - 4*d**2*s*y - 3*d**2 - 2*d*s**3*y - 9*s**3 wrt s. -24*d**2*y - 12*d*y - 54 Find the second derivative of 136*a**3*z**2 + 2*a**2*z - a*z**2 - 4*a*z + z wrt a. 816*a*z**2 + 4*z What is the derivative of 5*j*m**3 - 14*j*m - 28*m**3 - 1 wrt j? 5*m**3 - 14*m What is the second derivative of 13*o**2*u**2 + 12*o**2 - 27*o*u**2 - 8*o*u + 2*u wrt u? 26*o**2 - 54*o Find the second derivative of -3865*i**4 - 2*i - 941 wrt i. -46380*i**2 What is the second derivative of 3166*r**2*u**3 + 3*r**2*u - 3032*r*u**2 + 2*u**3 wrt r? 6332*u**3 + 6*u Find the second derivative of -273*m**2*r**3*v - 5*m**2*v**2 - 35*m*r**2 + 5*m*v**2 - 3*r**3*v**2 wrt m. -546*r**3*v - 10*v**2 Find the third derivative of 3*b**3*t**3 + 3*b**3 + 2*b**2*t**2 - t**3 wrt b. 18*t**3 + 18 What is the derivative of -546*s**4 + 2*s**3 - 2*s**2 - 6571? -2184*s**3 + 6*s**2 - 4*s Find the first derivative of c**2*g*i - c**2*i + 3*c*g*i*y + 2*c*g*y + 5*c*i*y - g + i*y wrt g. c**2*i + 3*c*i*y + 2*c*y - 1 Find the first derivative of 57*d**4 + 2*d - 685 wrt d. 228*d**3 + 2 What is the first derivative of -4*g*r + 9*g*z**4 - 3*g*z + 14*r*z**4 - 1289*r wrt z? 36*g*z**3 - 3*g + 56*r*z**3 Find the third derivative of -64*s**4 + 146*s**3 - 42*s**2. -1536*s + 876 Differentiate -2*h*x**2*z - 19*h*x**2 + h*z - 9*x**2*z + 9*x*z with respect to h. -2*x**2*z - 19*x**2 + z What is the third derivative of 2*b*x**4 - 197*b*x**3 - 2*b*x**2 + 223 wrt x? 48*b*x - 1182*b Find the second derivative of -22*h**5*x*y**3 + 3*h**3*y**3 - 5*h*x*y**2 + 5*x*y**3 - 3*y wrt h. -440*h**3*x*y**3 + 18*h*y**3 Find the first derivative of -17549*u - 19505 wrt u. -17549 Find the second derivative of h**2*o**2*z + 3*h**2*o*z + 16*h**2*z**3 - 4*h*o**2*z**3 + 2*h*o**2 - h*o*z + 4*z**3 wrt z. 96*h**2*z - 24*h*o**2*z + 24*z What is the first derivative of 9*v*y**2 + 17*v*y - 276*v - 1 wrt y? 18*v*y + 17*v What is the second derivative of 2*k**2*n + 348*k**2 + 155*k*n - 2*k wrt k? 4*n + 696 Find the third derivative of 38*l**3*u**3*v - 52*l**3*v**2 + 3*l**2*u**3*v - 17*l*u*v**2 + 15*u**3*v**2 wrt l. 228*u**3*v - 312*v**2 What is the derivative of -29*b**2*c + 124*b**2 wrt c? -29*b**2 Find the third derivative of -487*t**4 - 2*t**2 + 250. -11688*t What is the third derivative of -23*k**4 - 147*k**3 - k**2 - 4*k - 166 wrt k? -552*k - 882 What is the second derivative of 13*b**3*z - 5*b**3 - 3*b*z + 3*b + 19 wrt b? 78*b*z - 30*b Differentiate -235*j**3 - 2*j + 2800 wrt j. -705*j**2 - 2 What is the third derivative of -5*c**3*q**3 + 3*c**3*q**2 - 4*c**3*q - 11*c**2*q - 328*c*q**4 + 1 wrt q? -30*c**3 - 7872*c*q What is the second derivative of -124*w**4 - 2*w**3 + 1107*w + 2 wrt w? -1488*w**2 - 12*w What is the third derivative of b**4 + 9*b**3 - 3*b**2 - 4*b wrt b? 24*b + 54 What is the derivative of -19*k - 183? -19 What is the second derivative of 126*t**5 - 22*t**4 + 125*t + 27? 2520*t**3 - 264*t**2 Differentiate 2*l**3 + 334*l + 8963 with respect to l. 6*l**2 + 334 What is the first derivative of 508*o*x - 79*o wrt x? 508*o What is the third derivative of -48*d**4 + d**3 + 10*d**2 - 4 wrt d? -1152*d + 6 Find the second derivative of 36*j**3*k**2 + 5*j*k + 9*k**2 wrt j. 216*j*k**2 What is the second derivative of -4*c**2*j**4 - 2618*c**2*j + 3*c*j**2 + j**5 wrt j? -48*c**2*j**2 + 6*c + 20*j**3 What is the third derivative of -376*k**5 - 9*k**2 + 9 wrt k? -22560*k**2 Find the third derivative of 193*m**4 + m**2 + 179*m wrt m. 4632*m What is the second derivative of -172*q**4 + q**2 + 968*q wrt q? -2064*q**2 + 2 Differentiate 52*p*r**4*y**2 + 53*p*r*y**3 - 14*p*y**3 - 2*p*y + 2*p + 26*y**3 with respect to r. 208*p*r**3*y**2 + 53*p*y**3 Differentiate c*j*z**2 - c*j*z - 2*c*j - 2*j*z**2 + 306*j + 18*z with respect to z. 2*c*j*z - c*j - 4*j*z + 18 What is the third derivative of -i*y**6 - 80*i*y**5 - 2533*i*y**2 wrt y? -120*i*y**3 - 4800*i*y**2 Differentiate 366*p + 393 wrt p. 366 Differentiate -1420*b**2 - 1418 with respect to b. -2840*b What is the second derivative of -g**5 + 185*g**3 - 12717*g wrt g? -20*g**3 + 1110*g Find the third derivative of -725*f**3 - 992*f**2 wrt f. -4350 What is the third derivative of 32*h**2*p**4 + 2*h**2*p**2 - 2*h*p**3 - 2*p**4 - 173*p wrt p? 768*h**2*p - 12*h - 48*p Find the second derivative of -14*p**5 + 54*p**4 + p - 533 wrt p. -280*p**3 + 648*p**2 Find the first derivative of 2*m**2 - 25*m + 467 wrt m. 4*m - 25 What is the third derivative of 19*p**6 - 5*p**5 + 870*p**2 wrt p? 2280*p**3 - 300*p**2 What is the second derivative of -1696*b**2*u**5 + 683*b**2 + 2*u wrt u? -33920*b**2*u**3 Find the second derivative of 73*q**2*x - 74*q*x + 3*x wrt q. 146*x What is the second derivative of o**3*s - 12862*o**2*s**3 + 4*o*s**3 - o*s - 3*s**3 - 34 wrt o? 6*o*s - 25724*s**3 Find the second derivative of -2*h**5 + 101*h**2 - 351*h. -40*h**3 + 202 What is the first derivative of -2*d*m**2 + 62*d - 3143*m wrt m? -4*d*m - 3143 What is the second derivative of 8*b**3*v**2 + 5*b**2*v**2 - b*v**2 - b*v - 1078*v wrt b? 48*b*v**2 + 10*v**2 Find the second derivative of -3*h**2*y - 1015*h**2 - 3*h*y - 296*y wrt h. -6*y - 2030 Differentiate -2*n**3*p**3 + 21*n**3*p - 64*n**3 + p**2*x - 8*x with respect to p. -6*n**3*p**2 + 21*n**3 + 2*p*x What is the first derivative of -2*h**2*t**2 - 2*h**2 - 144*h - 18*t**4 - t**2 wrt t? -4*h**2*t - 72*t**3 - 2*t Find the first derivative of 3*l**4 - 50*l**2 + 160. 12*l**3 - 100*l What is the second derivative of -2*l**3*n**2*v + 440*l**3*n*v - 3*l**3*v + l**2*v - 12*l*n**2*v + l*n*v + 18*n**3 - 2*v wrt n? -4*l**3*v - 24*l*v + 108*n What is the second derivative of 78*j**3*k**2 + 4*j**3*k - 2*j**2*k - 115*j*k**2 + 15*j*k + 1 wrt j? 468*j*k**2 + 24*j*k - 4*k What is the second derivative of 3304*m**2 - 3*m - 368 wrt m? 6608 What is the third derivative of -3*q**6 - 25*q**5 + 760*q**2 wrt q? -360*q**3 - 1500*q**2 What is the third derivative of -2106*l**4 - 107*l**2 + 5 wrt l? -50544*l Find the second derivative of -118*f**3 + 2*f**2 + 412*f wrt f. -708*f + 4 Find the second derivative of 4*k**2*s**3*v**2 - 39*k**2*s**3*v + k*s**3*v**2 - 67*k*s**2 - 3*s*
{ "pile_set_name": "DM Mathematics" }
units digit of v? 7 Let l(u) = -u**3 + 2. Let n be l(0). Let m(j) = n*j - j**3 - 7*j**2 + j**3 + 3*j**2 + j**3 + 5. What is the tens digit of m(4)? 1 Suppose -q - q + 286 = 0. What is the units digit of q? 3 Let y = 35 + 0. What is the units digit of y? 5 Suppose 18 = b + 2*b. What is the units digit of b? 6 Let t be (-6 - -5)/((-1)/4). Suppose 80 + 20 = -t*i. What is the units digit of (15/i)/(1/(-5))? 3 Suppose -2*s = -5*s + 36. What is the tens digit of s? 1 Let r be (0 + 4)/(2/3). Suppose 0 = -r*l + 5*l + 5. What is the units digit of l? 5 What is the tens digit of (-2)/(-2) - -36 - (3 - 3)? 3 Suppose -2*d + 3*d = 0. Suppose -6*s + s + 45 = d. What is the units digit of s? 9 Let a be (2/6)/((-7)/(-42)). Let l be (13*2)/(1 - -1). Let t = l - a. What is the units digit of t? 1 Suppose -2*r - 3*b = 18, -2*b + 18 = -5*r - 46. Let u = r - -18. What is the units digit of u? 6 Let s(x) = -3*x + 6. Suppose 0*u + 3*u = 12. Let t be s(u). What is the units digit of 3 + t + 5*1? 2 Let t(g) = g**3 + 81. Let y be t(0). Suppose y = 2*h + h. What is the units digit of h? 7 Suppose 37 = 5*u - 8. Let q be (-334)/10 + (-8)/(-20). What is the tens digit of (0 + q)*(-3)/u? 1 Suppose 3*j = -0*k + k + 5, -3*k = -2*j - 6. Suppose -4*t - 7*b + 2*b = -61, -k*t + 60 = 4*b. What is the tens digit of t? 1 Let p(m) be the second derivative of -m**4/12 + m**3/2 + 5*m**2/2 + 2*m. Let a be p(4). Suppose -r + 3*w + a = 0, -w - 5 = -r - 2. What is the units digit of r? 4 Let c(g) = -2*g + 37. What is the tens digit of c(-6)? 4 Let c = -14 + 9. Let r be (-18)/5 + 2/c. Let j = -3 - r. What is the units digit of j? 1 Suppose -5*j + 22 = -13. What is the units digit of j? 7 Let f = -17 - -9. Let l = f - -11. What is the units digit of l? 3 Let m be (-18)/4*(-8)/6. Let r = 12 - m. What is the units digit of r? 6 Suppose 0 = -4*q + 9 + 3. Suppose -n = q*n. Suppose -4*i + 27 = -3*l + 7, -4*l - 16 = n. What is the units digit of i? 2 Let y = 195 - 96. What is the tens digit of y? 9 Let b(v) = -16*v + 9. What is the units digit of b(-5)? 9 Let z(j) = j**3 - 4*j**2 + 3*j - 6. What is the hundreds digit of z(7)? 1 Suppose 0 = -4*n + 16, 0*n - n = 4*q - 788. What is the units digit of q? 6 Let x = 367 - 143. What is the hundreds digit of x? 2 Suppose -6*j = -2*j - 192. Suppose 4*p - p = j. What is the tens digit of p? 1 Suppose 500 = 6*x + 8. What is the units digit of x? 2 Let j be (-5)/15 + (-26)/(-6). Let t(u) = u + 1. What is the units digit of t(j)? 5 Suppose u = c - 7, -1 = -u - 4*u - 4*c. Let j(s) = s**2 + s + 4. Let l be j(u). What is the units digit of (-8)/(-20) + 6/l? 1 Suppose 4*t - 128 = -4*p, -3*p + 68 = 2*t - 2*p. Let y = t - -6. What is the units digit of ((-2)/(-6))/(2/y)? 7 Suppose 21 = -m - 5*l + 5, 0 = 5*m + 5*l - 20. What is the units digit of m? 9 What is the units digit of ((-444)/18)/(2/(-3))? 7 Let v = 0 + 0. Let r be 1 + 0 - (v + 2). Let h(i) = -9*i**3 + 2*i + 1. What is the units digit of h(r)? 8 Let h be (18/12)/(2/4). Suppose y = -h*y + 56. What is the tens digit of y? 1 Let o = 4 + -6. Let h be -1 - -6 - 2/o. Suppose 4*q = -g - g + h, -18 = -3*g - 3*q. What is the units digit of g? 9 Let n(h) = 8*h - 22. What is the units digit of n(5)? 8 Suppose 2*y - 4*h = -y + 20, 5*h = 2*y - 25. Let v(j) = j**3 + j**2 + j - 17. Let d be v(y). Let k = -10 - d. What is the units digit of k? 7 Let t(p) = 3*p**2 + 8*p + 8. What is the tens digit of t(-4)? 2 Suppose 127 = -3*m + 5*v, -v + 180 = -5*m + v. Let b = 48 + m. What is the units digit of b? 4 Suppose -8*c = -3*c - 435. What is the units digit of c? 7 Suppose 0*k - 2*n - 104 = 3*k, k - 2*n + 40 = 0. Let r = -26 - k. What is the tens digit of r? 1 Suppose -5*u + 2*u - 4*v + 24 = 0, -2*u - v = -11. What is the units digit of u? 4 Suppose 2*m - 12 = -3*g, -3*m - 3*g + 10 = -5. Suppose 0 = -4*d + m*x + 9 + 10, 0 = 4*d + 5*x + 21. What is the units digit of d? 1 Suppose -f + 5*b = 4 - 34, 0 = -2*b - 10. Let u(x) = x + 7. Let w be u(-5). Suppose a - f = w. What is the units digit of a? 7 Suppose 3*n = 7*n - 56. Let h = n + -9. What is the units digit of h? 5 Let j be (-4)/1*17/2. Let g = -15 - j. What is the units digit of g? 9 Let k = -158 - -290. What is the hundreds digit of k? 1 Let g be (0 + 1)/(3/27). Suppose -2*a = -2*c - 1 + g, 0 = 2*a + 2*c - 12. What is the units digit of a? 1 Let i be 6/(-3) + (0 - -2). Suppose i = 5*b - 0*b + 10. Let d = 6 + b. What is the units digit of d? 4 Let l = 7 - 5. Suppose 3*a + 2*y + 13 = 7*y, a + l*y - 14 = 0. What is the units digit of ((-1)/(-2))/(2/a)? 1 Let p(c) = -c**2 + 4*c - 3. Let t(g) = -g**3 - g - 3. Let w be t(0). Let f be ((-1)/w)/((-2)/(-12)). What is the units digit of p(f)? 1 Let v(f) = -f**3 - f**2 + 4*f - 1. Let s be v(-3). Let j = 7 - s. What is the units digit of j? 2 Let c(n) = -2 + 0*n - 5*n + 3*n. Let w be c(-3). Suppose -w*g + 3*v = -25, -2*g = -2*v - 12 - 2. What is the units digit of g? 4 Let i = 37 - 26. Let s = 7 + i. Suppose -s = -0*w - 2*w. What is the units digit of w? 9 Suppose 3*c - 62 = -5*j, 2*c = 4*j + 3*c - 51. What is the tens digit of j? 1 Let n(t) = t**3 - t**2 - t + 5. Let o(a) = a**3 - 8*a**2 + 2. Let h be o(8). Suppose b = -h*b. What is the units digit of n(b)? 5 Let z(y) be the third derivative of -y**6/15 - y**4/12 + y**3/6 - 2*y**2. Let s be z(1). Let w = s - -10. What is the units digit of w? 1 Suppose 0*q = -5*q - 30. Let p = -2 - q. What is the units digit of p? 4 Let u(v) = -4*v - 9. Let t be u(-12). Let a = -15 + t. What is the units digit of a? 4 Suppose 4*k - 3*k - 5 = 0. Suppose 4*h - k = v - 0*v, -4*v = -5*h - 13. What is the units digit of v? 7 Let m = 39 - 21. What is the tens digit of m? 1 What is the tens digit of ((-3)/(-3))/(6/84)? 1 Let o be 3*1*1/(-3). Suppose 0 = -h + 5 - 3. Let g = h + o. What is the units digit of g? 1 Suppose 5*i - t = 408, -2*t + 5*t + 322 = 4*i. What is the tens digit of i? 8 Let b(d) be the second derivative of -1/3*d**3 + 1/2*d**2 + 2*d + 0. What is the units digit of b(-2)? 5 Let u = -2 - -4. Let m(n) = -u*n**2 - 3 + 0 - n**3 + 5. What is the units digit of m(-2)? 2 Let q = 445 + -239. What is the units digit of q? 6 Suppose -180 = 5*o - o. What is the units digit of (-350)/o + (-2)/(-9)? 8 Let l(o) = -o**3 - 4*o**2 - 3. Let m be l(-4). Let q be -3*(-10)/m*-1. Let d = -6 + q. What is the units digit of d? 4 Suppose x + 3*n + 7 = 0, 5*n - n + 1 = -3*x. Let o(v) = 2*v**2 - 7*v + 2. What is the tens digit of o(x)? 1 Suppose 4*b = 12 + 60. Let j = 30 - b. What is the tens digit of j? 1 Let z(r) = r**3 + 6*r**2 + 3. Let l be z(-6). Suppose 5*m - w = l, 0*m + 6 = -2*m - 2*w. Suppose m = y - 4 + 1. What is the units digit of y? 3 Let r(j) = 12*j + 2. Let w = 8 + -6. What is the tens digit of r(w)? 2 Let i = 299 + -188. What is the tens digit of i? 1 Let p(z) = 2 - 2*z + 5*z - 1 - 5. Let v be p(6). What is the units digit of 2/(-7) - (-102)/v? 7 Suppose 0*d + 44 = -4*d + 2*n, 2*d + 20 = 2*n. Let q be 3/d - 2/(-8). Suppose 2*z + 2 - 6 = q. What is the units digit of z? 2 Suppose 0 = x + 2*a + 41, -4*x - 2*a = -3*a + 146. Let m = x + 70. What is the units digit of m? 3 Let w = 1 + -2. Let v = 5 + w. Suppose -v*u + 36 = 8. What is the units digit of u? 7 Let k(r) = -r**3 - r**2 + r + 1. Let n(t) = 6*t**3 + 2*t**2 - 7*t - 1. Let a = -3 - -2. Let i(h) = a*n(h) - 5*k(h). What is the units digit of i(3)? 2 Let l = 6 - 8. Let y be (-2)/(108/(-53) - l). Suppose -5*x + y = -x - 3*j, -3*x + 4*j = -38. What is the units digit of x? 4 Let q = 272 - 147. What is the tens digit of q? 2 Let z be (-393)/15 + 1/5. Let x = -9 - z. What is the tens digit of x? 1 Let a be -2 - -1 - (2 + -6). Suppose -a*d + 6*d - 12 = 0. What is the units digit of d? 4 Suppose 0 = 4*r + 12, 3*l + 2*r - 3 = 3. What is the units digit of l? 4 Suppose -270 = -2*j - 3*j + 5*g, 4*g + 272 = 5*j. What is the units digit of j? 6 Suppose -3 - 3 = -3*a. What is the units digit of a? 2 Let u(b) = 6*b + 3. What is the tens digit of u(9)? 5 Suppose 3*n - 75 = 3*y, -131 = -5*n + y + 10. Let x = n + -15. What is the units digit of x? 4 Suppose -4*l + 454 = -h, h + 1 - 3 = 0. What is the hundreds digit of l? 1 Suppose -2*s + 5*p + 44 + 5 = 0, 4*s - 4*p = 104. What is the units digit of s? 7 Let y = -1 - 8. Let z(d) = -d**2 - 9*d + 2. What is the units
{ "pile_set_name": "DM Mathematics" }
e -5*u + 0*u + 4*r = 30, 4*r - 14 = -3*u. Let o = 1 + -3. Let p = o - u. Give g(p). -5 Let z be (-42)/54 + 7/((-189)/6). Let d(c) = 12*c. Calculate d(z). -12 Suppose -7 - 3 = 5*g. Let n(f) = -5*f**2 + 2 - 2*f + 3*f**2 + f**2. Calculate n(g). 2 Let c = 73 + -73. Let f(r) be the third derivative of -2/3*r**3 + 0*r**5 + 1/120*r**6 + 3*r**2 + c*r + 0*r**4 + 0. Give f(0). -4 Let o(w) = -2*w**2 - 4*w - 3. Let h = -133 - -130. What is o(h)? -9 Let t = 47 + -44. Let n(s) be the second derivative of 0 + 0*s**2 - t*s - 1/6*s**3. What is n(2)? -2 Let z(c) = -2*c**3 + 3*c**2 - 3*c + 2. Let m be -5 + (4*-1)/(-2). Let t be m - (-1 - 0) - -4. What is z(t)? -8 Suppose -3*u - c + 9 = 0, 3*u - 27 = 5*c - 0. Let p = u - 0. Suppose 2*g + p = 2. Let j(f) = -6*f**3 + 2*f**2 + 2*f + 1. Calculate j(g). 7 Let k(h) = 3*h**2 - 8. Let l(m) = 5*m**2 - m - 15. Suppose 0 = -q - 0*q - 7. Let s(y) = q*k(y) + 4*l(y). Calculate s(-3). -1 Let t(s) = -s**3 + 7*s**2 + 8*s - 3. Suppose 2*d = -6*d + 64. Determine t(d). -3 Let g be ((-2)/(-5))/((-1)/(-5)). Let z(v) = 2*v**3 - v**2 - 2*v. Determine z(g). 8 Suppose -5*m + 16 = -19. Let l(z) = -5*z**2 - 4 + 7*z**2 - 3*z - z**3 + m*z**2 - 4*z**2. Give l(3). 5 Let f(i) = -i - 3. Let l = -8 - -11. Give f(l). -6 Suppose n = -5*g - n + 33, 0 = -3*g + 2*n + 7. Let l(a) = -a**2 + 10*a - 2. Let x(s) = -s**2 + 11*s - 1. Let y(r) = 6*l(r) - 5*x(r). Calculate y(g). -7 Let t(a) = -a**2 + 10*a + 4. Let i be t(10). Suppose 3*j = 2*p - 6 - 13, 0 = -i*p + 2*j + 18. Let d(r) = r**3 + r**2. Give d(p). 12 Let f(n) = 2*n**3 - 7*n**2 + n + 7. Let m(s) = s**3 - 6*s**2 + s + 6. Let d be 3 + (-1)/2*10. Let q(b) = d*f(b) + 3*m(b). Determine q(-4). 0 Let f(w) = -8*w - 15. Let x = -11 - -5. Let q(u) = -9*u - 16. Let m(z) = x*q(z) + 7*f(z). Calculate m(-6). 3 Let d(l) = -l**3 - l**2. Let p(o) = 4*o**3 - 5*o**2 + 8*o - 1. Let h(q) = 3*d(q) + p(q). Determine h(6). -25 Suppose -o - 10 = 1. Let y = o + 15. Let l = y + -2. Let j(t) = -2*t**2 + 2*t + 1. What is j(l)? -3 Let d(o) be the second derivative of 4*o + 1/2*o**2 + 0 - o**3. Suppose 13 = 4*n - 2*n + 3*k, 3*n + 4*k - 17 = 0. Calculate d(n). 7 Suppose 3*f - 3 + 0 = 0. Let t(i) be the second derivative of 0 - 1/6*i**3 + i + i**2. Determine t(f). 1 Let g(x) = 7*x - 5*x + 2*x - 2*x**2 - 3. Let i(k) = -2*k**2 + 10*k - 5. Let t be i(4). Give g(t). -9 Let j be 0/(1 + (-2)/(-2)). Let y(s) = 0*s - 2*s + 1 + j*s. Suppose -4*c = 3*n - 2, -6*n + n = -5*c + 20. Calculate y(c). -3 Let z(k) = 3 + 1 - 4 - 10*k. Suppose 0*h = -h + 1. Determine z(h). -10 Let j(m) be the third derivative of -m**5/60 + m**4/24 - 20*m**2. Calculate j(1). 0 Suppose c = 5*b + 7, b = -3*b - 4. Suppose 0 = 5*y - c*y. Let j be 0*(1 - 2 - y). Let z(l) = -l**3 - l - 7. Determine z(j). -7 Let k(p) = -6*p + p**2 + p**3 + 0*p**2 - 6 + 3*p**2. Let i(m) = 3*m + 7. Let r be i(6). Suppose 10*q + r = 5*q. Determine k(q). -1 Let z(h) = 2*h**2 + 2*h - 2. Suppose 3*l = 6*l. Suppose 2*w - 3*k = 13, -4*k - 14 = -l*w - w. What is z(w)? 10 Let m(j) = 3*j**2 - j + 4. Let f(a) = 2*a**2 + 3. Let o(l) = -5*f(l) + 4*m(l). Suppose 2*t + 0 - 6 = 0. Give o(t). 7 Let c = 2 + -4. Let f(u) be the second derivative of 0 + 1/12*u**4 + 1/3*u**3 + 1/2*u**2 + 3*u. Determine f(c). 1 Let q(v) = 9*v**2 - 7*v**2 + 3*v**2 - 3*v**3 + 2*v + 4*v**3 + 2. Give q(-5). -8 Suppose -5*t = -z + 24, -2*t + 2*z = -4*t. Let l(f) = -f**2 - 5*f. Let v be l(t). Let o(q) = -2*q**2 - 3 + v + q**2 + 3*q. What is o(-2)? -9 Let f(l) = -13*l + 2. Let c(s) = 7*s - 1. Let y(t) = -11*c(t) - 6*f(t). Let v = -4 - -7. Suppose -2*q - 18 = -2*x, 0*q = -5*q - v*x - 5. Give y(q). -5 Let g be 4/1 + (-4 - -2). Let s(v) = v**2 - 3*v - 1 - g + 0 + 8*v. Calculate s(-4). -7 Let c(v) = -2*v + 4. Let f = -23 + 26. Give c(f). -2 Let h(b) = -6*b + 7*b - b**3 - b. Determine h(1). -1 Let z = -10 - -5. Let j(s) = s - 7. Calculate j(z). -12 Suppose -5*d = 5*j + 15, 2*d - 12 = 3*j + 12. Let o(k) = -k**2 - 8*k - 2. Give o(j). 10 Let z(g) = -3*g**3 + g**2 + 3. Let b(d) = -8 + 13 + 2*d**2 + 2*d**3 - 9*d**3. Let x(s) = 3*b(s) - 5*z(s). Determine x(1). -5 Let y(s) = s + 9. Suppose 0 = -3*p + 5*p. What is y(p)? 9 Suppose -20 = 3*h - 29. Let d(n) = 2*n**2 - 3*n - 3. What is d(h)? 6 Suppose 11 = -3*l + 8. Let k(n) = 4*n + 1. Calculate k(l). -3 Let n(l) = l - 7. Let w(r) = -r**3 + r**2 + 2*r - 1. Let f be w(2). Let u be f/5 - 306/(-30). Suppose -4*b = -14 - u. Determine n(b). -1 Let s(t) be the second derivative of t**4/12 - 4*t**2 + 4*t. Give s(0). -8 Let k(f) = 3*f**3 - 4*f**2 - f - 5. Let v(s) = -2*s**3 + 3*s**2 + s + 4. Let p(b) = -3*k(b) - 4*v(b). Let y be ((-3)/(-2))/(24/(-32)). Give p(y). 9 Let s(m) be the second derivative of -5*m**3/3 - m**2/2 - 11*m. Determine s(-3). 29 Suppose d = 3*d, 2*s + 2*d = 0. Let y(j) = s*j - 7*j + j. Determine y(2). -12 Let f(p) = p**2 + 2*p + 8. Let g be f(0). Let l be (-4)/(g/14)*-1. Let j(v) = -v**2 + 5*v + 9. Calculate j(l). -5 Suppose 3 = -i, 5*n - 3*i - 4 = -0*n. Let g be 4/2 - n - 3. Let y(d) = d**3 - d**2 - d + 8. Determine y(g). 8 Let b = 4 + -1. Suppose 10 = 5*m - b*m. Let d(y) = -3*y + 7. Give d(m). -8 Let z(n) be the second derivative of -2*n + 1/2*n**3 - 3/2*n**2 - 1/12*n**4 + 0. What is z(2)? -1 Let t(q) = 11*q**2 - 1. Let f(z) = z**3 - 6*z**2 - 17*z + 9. Let i be f(8). What is t(i)? 10 Let p(x) = 7*x + 2. Suppose c - 5*c - 2*z = -60, 4*z = -16. Let i(r) = -20*r - 6. Let b(h) = c*p(h) + 6*i(h). What is b(-4)? 2 Let o(h) = 1 - 1 + h + 1. Let j(l) = l. Let n(p) = -2*j(p) + o(p). Determine n(3). -2 Suppose 6 = 2*b - 4. Let c(m) = m. Let t(r) = 3*r - 24. Let z(w) = -w + 6. Let s(k) = -4*t(k) - 15*z(k). Let p(v) = 2*c(v) - s(v). Determine p(b). -11 Suppose 0 = l + l + 2. Let b be l*(-1 + 0)/(-1). Let f(h) = 9*h**2 + 13 - 13. Determine f(b). 9 Let k be (28/(-7))/(3/(-3)). Let w(p) = -p**3 + 4*p**2 + 4*p - 2. What is w(k)? 14 Let s be 2/(-6) + 11/(-3). Let n(b) = -b - 2. Determine n(s). 2 Let c(i) be the first derivative of i**2 - 3*i + 3. What is c(6)? 9 Let v(a) = a**3 + a**2. Let j(b) = b - 9. Let x be j(12). Suppose 12 = -4*o, 7*o - x*o + 12 = -3*d. Calculate v(d). 0 Let q(h) = -h**3 - 4*h**2 - 3*h - 6. Let j be ((-2)/(-2))/((-4)/(-20)). Suppose 12 = -j*o + 4*u, 3*u + 2*u = -5*o - 30. Determine q(o). 6 Let s = 7 - 8. Let l(t) = -2*t**3 + 7*t**2 - 3*t + 1. Let w(z) = -z**3 - z**2 + z. Let y(g) = -l(g) - 5*w(g). Calculate y(s). -8 Let j = 0 + 4. Suppose 0 = -t + 1 + 1. Let h(a) = -3 + 6*a**2 + j - t*a + 3*a. Calculate h(-1). 6 Let m(b) be the third derivative of b**4/24 + 5*b**3/3 + 2*b**2. Let w be m(-7). Let t = w - 6. Let s(z) = -z**2 - 7*z - 4. Determine s(t). 8 Let s(x) be the second derivative of -x + 1/6*x**4 + 3/2*x**2 + 0 + 1/2*x**3. Suppose 2*v + 7 = -y, 5 = v + 4*v - 5*y. Give s(v). 5 Let d(i) = -2*i + 1. Let g(x) = -x + 1. Let v(s) = -2*d(s) + 5*g(s). Calculate v(3). 0 Suppose -2*i - 7 = -4*l + 15, -l - 5*i = 22. Let u(t) = -t - 2 - 5*t + 7*t. Determine u(l). 1 Let k(p) = 2*p + 7. Let s be k(-6). Let v(c) = c**3 + 4*c**2 - 2*c - 2. Calculate v(s). -17 Suppose 0 = 4*m - 9*m + 10. Let j(s) = -4*s + 5 - s**2 - m*s - 8. Let u be j(-6). Let c(g) = -2*g**2 - 3*g + 3. Determine c(u). -6 Suppose 3*d + o + 1 = 0, 3*d - o = -d + 1. Let r(l) be the second derivative of -l**4/12 + l**2/2 + l. Give r(d). 1 Suppose 4*d = -7 - 5, 2*d = j - 1. Let h(i) = -i**2 - 5*i - 6. Give h(j). -6 Let i(g) = g**3 - 5*g**2 + g - 3. Let j be (10/8)/((-2)/(-8)). Let k be i(j). Let n(y) = -2*y**2 + 4*y - 2. Determine n(k). -2 Let z(k) = 2*k**3 - k**2 + 7*k + 5. Let h(t) = -t**3 + t**2 - 3*t - 2. Let q(w) = -5*h(w) - 2*z(w). Give q(2). -2 Let t(q) = 0*q**2 - q**2 + 0*q**2 - 2*q + q. Let f(o) = -o**3 - o**2 - o. Let p(v) = 4*f(v) - 4*t(v). Give p(1). -4 Let k(a) = -3*a**2 + 3*a**2 + 3*a + a**3 - 5*a**2 + 3*a**2. What is k(2)? 6 Let z be (2/(-6))/((-3)/9). Let i(r) = -4*r - 3*r**2 + 5*r**2 + 0*r**2. Let g(d) = -5*d**2 + 11*d. Let p(j) = -3*g(j) - 8*i(j). Determine p(z). -2 Let f(x) = x. Let m = 12 - 8. Let r be f(m). Let k(b) = 2 - 5*b + r - 3 + b**2. Calculate k(4). -1 Let y(r) = -8*r**2 - r + 4. Let k(c) = -c**2. Let s(x) = 6*k(x) - y(x). Let w be (-4)/(-14) + 2/(56/76). Calculate s(w). 17 Let p be (-8)/40 + (-1)/(-5). Let u(m) = m**2 + 1. Let d be u(p). Let y be d/4 + 15/4. Let n(z) = -z - 4. Give n(y). -8 Let t(u) be
{ "pile_set_name": "DM Mathematics" }
lculate 3714 divided by 3001. 3714/3001 Divide -5 by 15622895. -1/3124579 Calculate -1348376 divided by 337094. -4 Divide -112009 by 1045. -112009/1045 What is -51431946 divided by -619662? 83 -274300575 divided by 5 -54860115 101642065 divided by 20328413 5 Calculate -209169 divided by 227. -209169/227 Calculate -30 divided by 360257. -30/360257 Calculate 970030 divided by 58. 485015/29 Calculate -16523940 divided by -8261970. 2 Divide 97074734 by -213821. -454 Divide -4 by -22016173. 4/22016173 Calculate 748163 divided by 233. 3211 What is 10 divided by -66078210? -1/6607821 -8309056 divided by 28 -296752 Divide 593061 by -45. -197687/15 -34477910 divided by 10 -3447791 Divide 132978294 by -54. -2462561 10070093 divided by -2101 -4793 What is -16 divided by 2614570? -8/1307285 Calculate 6819 divided by -2911. -6819/2911 What is -13772703 divided by -1211? 11373 -8188 divided by -5 8188/5 What is -96151860 divided by -5? 19230372 Divide 95052600 by -4. -23763150 Divide -584 by -160. 73/20 Calculate 133583 divided by 378. 133583/378 Divide 5023620 by 1674540. 3 Divide -80765542 by 282397. -286 Calculate -2385281 divided by 76. -2385281/76 What is 32 divided by -4703175? -32/4703175 What is 2095612 divided by 4? 523903 Calculate -621102743 divided by 1. -621102743 37600308 divided by 272466 138 -1426169 divided by -35 1426169/35 239568 divided by 178 119784/89 Calculate -55475085 divided by 5. -11095017 Calculate 5 divided by -9501605. -1/1900321 What is -3529908 divided by -279? 12652 What is -1833 divided by -5309? 1833/5309 Divide 221908393 by -1679. -132167 What is 189641839 divided by -3? -189641839/3 What is 1186842432 divided by 2? 593421216 Calculate 8387940 divided by 7876. 1065 Calculate -1130922 divided by -353. 1130922/353 What is -537157720 divided by -443932? 1210 Calculate 793850 divided by 31754. 25 Calculate 2 divided by -25022632. -1/12511316 Divide 4294298 by -4. -2147149/2 Divide -120 by -1861998. 20/310333 Calculate -69142710 divided by 14105. -4902 -10576440 divided by 72 -146895 Divide 46037395 by -46037395. -1 What is -2 divided by 101267122? -1/50633561 Calculate 20602352 divided by 10301176. 2 Divide -2 by -68098035. 2/68098035 Calculate 3074440 divided by -40. -76861 -111736560 divided by 7080 -15782 48769215 divided by 295571 165 Divide -88814809 by -191. 464999 Divide -59561080 by 5. -11912216 -2554986 divided by -762 3353 Divide -508352256 by 122112. -4163 Divide -5 by 1069534. -5/1069534 Calculate -3262 divided by 651. -466/93 Calculate 3668720 divided by 9680. 379 Calculate 1477723609 divided by -4. -1477723609/4 -3 divided by 5481726 -1/1827242 Divide 756785424 by 47299089. 16 What is 48296606 divided by 3? 48296606/3 Divide 18273663 by -2. -18273663/2 Calculate 76681781 divided by 187. 410063 Calculate 651 divided by 79. 651/79 Calculate -1940796 divided by 74646. -26 -266230 divided by 1147 -266230/1147 Divide -191365480 by -970. 197284 What is -143308638 divided by -15923182? 9 -133902160 divided by 28 -4782220 Calculate -554472522 divided by 438. -1265919 10165497 divided by 3 3388499 What is 168 divided by -67022? -84/33511 18387864 divided by -6129288 -3 What is 9 divided by 595189? 9/595189 Calculate -39776461 divided by 1. -39776461 What is 52844759 divided by -869? -60811 Calculate -8009827 divided by 18. -8009827/18 What is -8144 divided by 2519? -8144/2519 What is 2 divided by -5437895? -2/5437895 What is -110238 divided by -25? 110238/25 Divide -2250 by 59706. -125/3317 -1907 divided by 4717 -1907/4717 Calculate -1 divided by -429696. 1/429696 Divide -1 by -8939304. 1/8939304 Calculate -60809 divided by 120. -60809/120 Divide -792468 by -22013. 36 Calculate 2 divided by -816177. -2/816177 What is 94915 divided by -99? -94915/99 173181 divided by 1 173181 Divide -25024360 by 12512180. -2 Divide 77189270 by 2. 38594635 145720020 divided by -4 -36430005 Calculate 0 divided by 210139. 0 Divide 226871238 by 10312329. 22 68585 divided by 1447 68585/1447 Calculate 129180373 divided by -2. -129180373/2 Calculate -434474 divided by -34. 217237/17 What is 938600 divided by -5? -187720 Divide -26706816 by 8902272. -3 -108317902 divided by 46 -2354737 Divide 14912292 by 318. 46894 What is -6553 divided by -30506? 6553/30506 What is 40498 divided by 48? 20249/24 Calculate 0 divided by 10116022. 0 Divide 3 by 544918. 3/544918 Calculate 401566 divided by -141. -401566/141 Calculate 76 divided by 144157. 76/144157 Divide -12832 by -9535. 12832/9535 What is -3 divided by 1368979? -3/1368979 1044444086 divided by -41 -25474246 What is -48 divided by -144146? 24/72073 Calculate -58452656 divided by 4. -14613164 Calculate -16669422 divided by -168378. 99 What is 869379096 divided by -284? -3061194 Calculate -13 divided by -7747911. 13/7747911 Calculate 21746775 divided by 289957. 75 685 divided by -3933 -685/3933 0 divided by -1620747 0 What is 140 divided by 121675? 28/24335 -381000390 divided by -76200078 5 5 divided by 11237191 5/11237191 What is 5 divided by -83229049? -5/83229049 -200151422 divided by -82 2440871 What is -8141440 divided by 4? -2035360 2 divided by -34313277 -2/34313277 Divide 657797972 by -2041. -322292 Divide 166925450 by 2755. 60590 -24746810 divided by -20185 1226 Calculate -26273 divided by -399. 26273/399 Divide 10293800 by -411752. -25 473824 divided by -15 -473824/15 Divide -89546845 by 2. -89546845/2 Divide -9751 by 52. -9751/52 228 divided by 35380 57/8845 -5300130 divided by -240915 22 Calculate 36041 divided by -1046. -36041/1046 Calculate 218 divided by 265911. 218/265911 528 divided by -1172471 -528/1172471 Calculate 6626202 divided by 726. 9127 -6156999 divided by 6156999 -1 -90108 divided by 58 -45054/29 Calculate 87040 divided by -5440. -16 Divide 49 by 85387. 49/85387 Calculate -21255564 divided by -66. 322054 Divide -2725536 by 681384. -4 Divide 68130062 by 2002. 34031 What is -924768 divided by 4? -231192 3751300 divided by -1 -3751300 Calculate -2270765 divided by 17. -2270765/17 Divide -10983336 by -1. 10983336 Calculate 2 divided by -1823206. -1/911603 What is 281707 divided by -25? -281707/25 Divide -88 by -372930. 44/186465 Calculate 16645 divided by 23747. 16645/23747 -180572595 divided by 5 -36114519 Calculate -61627797 divided by 5602527. -11 What is -1733248 divided by 8? -216656 -250648695 divided by -83549565 3 What is 4484828 divided by -1? -4484828 What is 569616 divided by 55? 569616/55 -63069664 divided by -6496 9709 What is -39254242 divided by -19627121? 2 210887040 divided by 640 329511 84917200 divided by 40 2122930 Divide 124 by -114888. -31/28722 Calculate -205 divided by -45200. 41/9040 Calculate 172764302 divided by -86382151. -2 -115680696 divided by 3368 -34347 Divide 15332058 by 46602. 329 Divide 3115584 by 2404. 1296 Calculate -401560680 divided by 232. -1730865 Divide 1573 by 402498. 1573/402498 Divide 1 by 146741757. 1/146741757 -57 divided by -75157 57/75157 Calculate 54664359 divided by -53. -1031403 Calculate 435937755 divided by -52491. -8305 Divide -404468 by -184. 101117/46 What is -8227320 divided by 4113660? -2 13909448 divided by 3477362 4 -130760 divided by -21 18680/3 Divide 12528470 by -2505694. -5 Calculate -89016691 divided by 3947. -22553 Divide -1070841384 by 1652533. -648 Calculate 795285463 divided by -3. -795285463/3 What is -2432032 divided by -52? 608008/13 448634263 divided by -2067439 -217 318816 divided by -11 -318816/11 14543634 divided by 1 14543634 Divide 11818 by 3515. 622/185 -26402730 divided by -5 5280546 Calculate -214854 divided by 127. -214854/127 Calculate 22871568 divided by 92. 248604 Divide 11245644 by 274284. 41 -40302 divided by -81 4478/9 25459 divided by 2912 3637/416 -3443097704 divided by -2 1721548852 Divide -40617 by 731. -40617/731 -3 divided by -24971696 3/24971696 What is 89631290 divided by -98? -914605 Calculate 1 divided by 148134768. 1/148134768 What is 17582642 divided by 19778? 889 Calculate -1688907 divided by -153537. 11 What is 44 divided by -3985788? -11/996447 Calculate -24742752 divided by -727728. 34 Divide 69298413 by 4. 69298413/4 Calculate 30622122 divided by -1. -30622122 What is 542068306 divided by -167? -3245918 What is -3 divided by -60749108? 3/60749108 Calculate -8959860 div
{ "pile_set_name": "DM Mathematics" }
the first derivative of 635*m**3 + 6465? 1905*m**2 Find the second derivative of 17*a**2*b*v**2 + 14*a**2*b*v - 2*a**2*h**2 - a*b**2 - a*h**2*v**2 - b**2*v**2 - 2*b*v wrt v. 34*a**2*b - 2*a*h**2 - 2*b**2 Find the third derivative of -1809*b**3*l + b**2 + 179*b*l wrt b. -10854*l What is the derivative of 591*c**4 - 417? 2364*c**3 Find the second derivative of -197*d**3 - 3*d**2 + 1671*d wrt d. -1182*d - 6 Find the third derivative of -338*q**5 + 467*q**2 wrt q. -20280*q**2 Find the second derivative of -251*b**2*f*x + b**2*f - b**2*q + b*f*q - 10*b + 3*f*x + 7*q wrt b. -502*f*x + 2*f - 2*q Find the third derivative of -211*x**6 - 84*x**2 - x. -25320*x**3 Differentiate -36*o*u*x**2 - 741*o*x**2 - 10*u*x**2 - u*x - u with respect to u. -36*o*x**2 - 10*x**2 - x - 1 Find the second derivative of -p**4*q**3 - 2384*p**3*q**3 + 2*p*q**3 + 641*p*q + q**3 wrt p. -12*p**2*q**3 - 14304*p*q**3 Differentiate 4762*m**3*v + 3199*m**3 with respect to v. 4762*m**3 Find the second derivative of -2224*j**2 + 1922*j. -4448 What is the first derivative of -56*p**4 - p**3 - 466 wrt p? -224*p**3 - 3*p**2 What is the third derivative of 30*d**5 + 32*d**2 + 2*d wrt d? 1800*d**2 What is the third derivative of -4*a**2*l**3*s + 2*a**2*l**2*p*s + 2*a*l**3*s**2 + a*l*s**2 + 50*l**3*p + 23*l**2 + p wrt l? -24*a**2*s + 12*a*s**2 + 300*p What is the third derivative of -14955*f**3 - 621*f**2 - 2*f wrt f? -89730 Differentiate 3*g*l**2*m**2 + 3*g*m**2 + 68*g + 28*l**2 + 2*m**2 wrt l. 6*g*l*m**2 + 56*l What is the third derivative of 2*b**2*w**3 - 16*b**2*z**3 + b*w**2*z**2 - 17*w**3*z**3 + 56*w**3 wrt z? -96*b**2 - 102*w**3 Differentiate 5931*s - 7566 wrt s. 5931 What is the first derivative of 41*l**3*m - 318*l**3 - l**2*m - l**2 - 16*l*m + 2*l wrt m? 41*l**3 - l**2 - 16*l Find the third derivative of 6*y**6 - 353*y**4 + 50*y**2 - 114*y. 720*y**3 - 8472*y Differentiate -2*h**2*q**3 - 4797*h**2 + 3563*q**4 wrt q. -6*h**2*q**2 + 14252*q**3 Differentiate 2*z**3 + 5632*z**2 + 4577 with respect to z. 6*z**2 + 11264*z Find the second derivative of -15*w**5 + 8*w**4*y**3 + 14*w*y**3 - 2*y**3 wrt w. -300*w**3 + 96*w**2*y**3 Differentiate -198*f*x**2 - 2*f*x + 424*f wrt x. -396*f*x - 2*f Find the first derivative of -42*b**4 - b**2 - 153. -168*b**3 - 2*b Find the second derivative of -h**3*o*s**2 - h**2*o*s**3 - 8*h**2*o + 6*h*o + 8*h*s**3 - o*s**3 wrt h. -6*h*o*s**2 - 2*o*s**3 - 16*o Find the second derivative of -j**2*n**2 + 4*j**2 - 171*j*n**2 - 8*n**2 - 21*n - 2 wrt n. -2*j**2 - 342*j - 16 What is the third derivative of 495*w**4 + w**2 + 488*w? 11880*w What is the third derivative of -1822*b*l**3 - 371*b - 3*l**2 wrt l? -10932*b Differentiate -u**2*x*y - 2*u*x*y - u*x + 100*u*y - 2*x*y - 4*x + 3*y + 6 wrt u. -2*u*x*y - 2*x*y - x + 100*y Find the third derivative of 1155*y**5 - 2000*y**2 wrt y. 69300*y**2 What is the first derivative of -b**4 + 24*b**2*d**3 - 2*b**2*d*n + 41*d**3*n wrt b? -4*b**3 + 48*b*d**3 - 4*b*d*n Find the second derivative of -3*k**4*o*x**3 - 528*k**2*o**2*x - 2*k*o**2*x**3 + 18*k*o + o**2 wrt k. -36*k**2*o*x**3 - 1056*o**2*x Find the third derivative of -58*z**5 - z**4 + 121*z**2 + 2*z. -3480*z**2 - 24*z Find the third derivative of 1392*o**3 + 874*o**2 wrt o. 8352 Find the first derivative of 129*r**2 - 222. 258*r What is the third derivative of -4*s**3*w**3 + 4*s**3*w**2 - 58*s**3 + 2*s**2*w**3 + 2*s*w**2 + 87*w**3 wrt s? -24*w**3 + 24*w**2 - 348 What is the first derivative of -5*j**2 + 13*j + 2444 wrt j? -10*j + 13 What is the second derivative of -4*f*g**2 - f*g*y - 20*f*g + 2*f*y - 279*g**5*y - g**3*y wrt g? -8*f - 5580*g**3*y - 6*g*y What is the second derivative of -a**2*g**3 - 21*a**2*g**2*z + 3*a**2*g*z + 8*a**2*g - a**2*z - 2*a*g + 6*g**3 wrt g? -6*a**2*g - 42*a**2*z + 36*g What is the third derivative of -1147*v**3 + 57*v**2 + 3*v wrt v? -6882 What is the second derivative of 139*c**5 - 108*c wrt c? 2780*c**3 What is the second derivative of -f**5 + f**3 + 576*f wrt f? -20*f**3 + 6*f What is the second derivative of 11067*g**5 - 2*g - 2598 wrt g? 221340*g**3 What is the derivative of -99*c**4*h - 44*h wrt c? -396*c**3*h Differentiate 17398*w**4 + 9770 wrt w. 69592*w**3 Find the second derivative of 58*m**5 + 2*m**2 + 634*m wrt m. 1160*m**3 + 4 Differentiate -33*i**2*s**3 - 153*i**2 wrt s. -99*i**2*s**2 Find the third derivative of -12*a**3*p*t**3 + 7*a**3*p*t**2 + 20*a*p*t**3 - 300*p*t**2 wrt t. -72*a**3*p + 120*a*p What is the first derivative of 565*y + 758? 565 What is the second derivative of -134*b**2 + 238*b + 1? -268 What is the second derivative of -73*m**2 - 181*m wrt m? -146 Find the first derivative of 37*u + 5506 wrt u. 37 Find the second derivative of 244*h**2 - 137*h wrt h. 488 Find the third derivative of -639*o**5 - o**3 + 724*o**2. -38340*o**2 - 6 What is the first derivative of -221*m**2*z**2 - 23*z**2 + 1 wrt m? -442*m*z**2 What is the third derivative of -92*l**3 + 168*l**2 wrt l? -552 Find the third derivative of 1098*j**3*v**3 - 42*j**2*v**3 - 5*j**2*v**2 wrt j. 6588*v**3 What is the first derivative of 1729*i*j**2 + 4*i*j*o**2 - 204*j**2*o**2 - 2*j**2*o - 2*j**2 + o wrt i? 1729*j**2 + 4*j*o**2 Differentiate i*j*o**3 - 5*i*j*o**2 + 4*i*j - 6*i*o**3 - 3 wrt j. i*o**3 - 5*i*o**2 + 4*i What is the second derivative of 29*p*w**2*y + p*w*y**2 + p + 2*w**2*y**2 + w**2 + 2*w*y**2 - 7*y**2 wrt w? 58*p*y + 4*y**2 + 2 What is the third derivative of 686*v**5 + 2*v**3 - 1613*v**2 wrt v? 41160*v**2 + 12 What is the third derivative of 62*a**5*y + 2*a**4*y**3 + a**2*y**2 + 14*a*y**3 + 1 wrt a? 3720*a**2*y + 48*a*y**3 Find the third derivative of -2269*f**3 - f**2 - 48*f + 7. -13614 Find the second derivative of -122*o**2 + 19*o - 2 wrt o. -244 What is the third derivative of 200*b**4 + 90*b**2 + 2*b? 4800*b What is the third derivative of -5*a*d**3*p - 3*a*d**2*p + 3*a*d**2 + a*i - d**4*i - 206*d**4*p - 14*d**2*i*p + i*p wrt d? -30*a*p - 24*d*i - 4944*d*p Find the second derivative of -b**3*x**2 - 11*b**3 + 83*b**2*x**2 + 26*b*x**2 - b*x - 3 wrt b. -6*b*x**2 - 66*b + 166*x**2 What is the first derivative of 888*s - 499 wrt s? 888 Find the second derivative of 285*p**5 - 742*p. 5700*p**3 What is the first derivative of -2*t**2 - 64*t - 538? -4*t - 64 What is the third derivative of 13*h*m**3 - 2*h*m**2*n*p**3 - 2*h*m*n*p - 2*h*n - 4*m**3*n*p - m**3*p**3 - m**2*n*p - 5*m*p**3 wrt m? 78*h - 24*n*p - 6*p**3 What is the third derivative of 96*d**4 - 276*d**2 wrt d? 2304*d Find the second derivative of 8*i**3*n**2*p + 2*i**3*n*p**2 - 2*i**3*p - 14*i**2*p**2 + 4*i*n**2*p - 2*n**2*p**2 - 3*p wrt p. 4*i**3*n - 28*i**2 - 4*n**2 Find the second derivative of 45*v**4 + v**2 - 156*v. 540*v**2 + 2 Differentiate -2*m**4 - 106*m**3*v - 371*v wrt m. -8*m**3 - 318*m**2*v What is the third derivative of 2040*l**3*x**2 + 5*l**2*x - 27*l*x**2 + 6*x**2 wrt l? 12240*x**2 Find the third derivative of 9*z**5 - 32*z**4 + 266*z**2. 540*z**2 - 768*z What is the first derivative of 14*c**2*m*u**2 + 2*c**2*m*u + c*m*u + 3*m*u**2 - 9*m*u wrt c? 28*c*m*u**2 + 4*c*m*u + m*u What is the second derivative of 432*k**4 + 29*k - 15 wrt k? 5184*k**2 Find the third derivative of 12*c**3*d - 113*c**3*q**2 + 2*c**2*d*q**2 + 2062*c**2*q + d*q wrt c. 72*d - 678*q**2 Differentiate 32*m*q*r**3*s + 3*m*q*r*s + 5*m*q*s + 22*m*r**3*s - 18*m*s with respect to q. 32*m*r**3*s + 3*m*r*s + 5*m*s What is the second derivative of 82*m**3 + 2*m**2 - 19*m - 7 wrt m? 492*m + 4 What is the third derivative of -a**4*s + 8952*a**3*s + 5*a**2*s - a**2 + 376*a*s - a wrt a? -24*a*s + 53712*s What is the derivative of 1021*q**4 + 2126 wrt q? 4084*q**3 Find the second derivative of 4609*d**3*t**2 - 2*d**3 + d**2*t - d*t**2 - 753*d + t**2 wrt d. 27654*d*t**2 - 12*d + 2*t Differentiate -g**3*p*u + g**3*p + g**3*u - 1263*g**2*p + g*p - 3*g*u + 312*u wrt p. -g**3*u + g**3 - 1263*g**2 + g What is the third derivative of 9380*d**5 + 847*d**2 wrt d? 562800*d**2 What is the third derivative of o**4 - 174*o**3 - 449*o**2 + o + 1 wrt o? 24*o - 1044 Find the third derivative of 37*s**4 - 32*s**3 + 286*s**2 wrt s. 888*s - 192 What is the first derivative of 3*f**3*o**2*z - 183*f**2*z + o**2*z + 115*o**2 - 3 wrt f? 9*f**2*o**2*z - 366*f*z What is the second derivative of -11*b**2*o + 2*b**2 - 2*b*o + 118*b wrt
{ "pile_set_name": "DM Mathematics" }
22 Solve -1911 + 964 = -187*z + 5598 for z. 35 Solve -626*k + 0 + 14 = -612*k for k. 1 Solve 201*u + 24 = 99*u + 108*u for u. 4 Solve -160*u - 30 = -170*u for u. 3 Solve 366*c - 110 = -249 - 227 for c. -1 Solve -20*c - 154*c - 2780 = 104*c for c. -10 Solve -9*n - 52 = -18*n - 17*n for n. 2 Solve 0 = -118*t + 315*t for t. 0 Solve -602*u = -12941 + 1506 + 1803 for u. 16 Solve 0 = 42*o - 50 + 69 + 275 for o. -7 Solve 3896 = -599*g + 2279 - 2576 for g. -7 Solve -11308 = 20*d - 10908 for d. -20 Solve 0 = 62*w + 6*w - 1773 + 5 for w. 26 Solve -14 = -313*m + 320*m for m. -2 Solve 2156*x - 2284*x + 516 = 3204 for x. -21 Solve 647 + 446 = -131*y - 86 for y. -9 Solve 41*k + 6246 = -41*k - 265*k for k. -18 Solve 51*s - 555 = 64 + 248 for s. 17 Solve -62*d + 49*d - 2394 = 101*d for d. -21 Solve -25*a - 103 - 52 = 6*a for a. -5 Solve 29*s + 0*s + 116 = -0*s for s. -4 Solve -1364 - 5362 = 354*g for g. -19 Solve 60048 = -32*g + 59696 for g. -11 Solve -2225 = 6*l - 2141 for l. -14 Solve -48*v - 391 + 195 - 380 = 0 for v. -12 Solve 0 = -57*m + 596 - 197 for m. 7 Solve 72*a - 55*a + 68 = 0 for a. -4 Solve 899*j - 417*j = 5302 for j. 11 Solve -162*s = -116*s + 221*s + 2136 for s. -8 Solve -185*m - 523 = -70*m + 3502 for m. -35 Solve 2*q + 167 = 145 for q. -11 Solve 312*n = 463*n + 1510 for n. -10 Solve 2411 = -66*o + 1289 for o. -17 Solve 408 = -147*i - 327 for i. -5 Solve -11*u + 5025 = 4783 for u. 22 Solve -79*o + 6607 = 5659 for o. 12 Solve 14*v + 234 = 7*v - 19*v for v. -9 Solve -22*n + 40*n - 17 + 125 = 0 for n. -6 Solve 418*q + 1942 + 148 = 0 for q. -5 Solve 111*q - 216*q = -112*q - 14 for q. -2 Solve 82*d + 1254 = 16*d for d. -19 Solve 714*q = -139*q + 3412 for q. 4 Solve 0 = 22*o - 94*o - 97*o - 507 for o. -3 Solve -26*n - 546 = -40*n - 64*n for n. 7 Solve -1818 = 29*q + 173*q for q. -9 Solve 142*f + 184*f = -978 for f. -3 Solve -97*j = 237*j + 29*j - 3630 for j. 10 Solve -80*a = -269 - 131 for a. 5 Solve 0 = 35*b - 2628 + 3153 for b. -15 Solve -514*y - 521*y - 10095 - 14745 = 0 for y. -24 Solve 300*v = 540 + 5460 for v. 20 Solve -23852 + 23918 = -3*i for i. -22 Solve 82*t + 2727 = -158*t - 633 for t. -14 Solve 201*x = 570*x + 2583 for x. -7 Solve -78*g - 187*g = -47*g + 3052 for g. -14 Solve 617 - 732 = 163*l + 3471 for l. -22 Solve 11*z + 62 = 10*z - 30*z for z. -2 Solve 98*f - 4742 = -3370 for f. 14 Solve 34*c - 428 = -c + 62 for c. 14 Solve -8*a - 61 - 157 + 50 = 0 for a. -21 Solve 222*l + 8650 = -124*l for l. -25 Solve 148 = 156*c + 94 - 258 for c. 2 Solve -372*y + 72*y + 1800 = 0 for y. 6 Solve 459 = 86*n - 153*n + 94*n for n. 17 Solve 98*n - 2177 = -2863 for n. -7 Solve -486 - 170 = -78*d + 358 for d. 13 Solve -2442 = -116*c + 922 for c. 29 Solve 49*y = 37*y + 54*y + 756 for y. -18 Solve 11*i + 83 + 73 = 63*i for i. 3 Solve 0 = 1322*y - 4896 + 930 for y. 3 Solve -2415 = 78*m - 193*m for m. 21 Solve 70*s - 60342 = -62162 for s. -26 Solve 0 = 36*c - 88*c - 1495 + 299 for c. -23 Solve -159*h - 169 - 739 = -113 for h. -5 Solve -13880 + 13200 = -85*p for p. 8 Solve 16*u - 1805 = -1741 for u. 4 Solve -245*a - 284*a + 2209 - 11731 = 0 for a. -18 Solve -20 = -37*u + 11*u + 24*u for u. 10 Solve -3496*x - 257 - 348 = -3441*x for x. -11 Solve -620*m - 271*m = -233*m - 3290 for m. 5 Solve -353*d = -309*d - 88 for d. 2 Solve 307*r - 11660 = -3064 for r. 28 Solve 236*q + 386 = 204*q + 66 for q. -10 Solve 609*z = -17*z - 4733 - 901 for z. -9 Solve -1424 = -7*y - 1354 for y. 10 Solve 1304*j + 95 = 1309*j for j. 19 Solve -10 - 135 = -145*d for d. 1 Solve 29*h = -79 + 32 - 98 for h. -5 Solve -663*y = 1361 - 9980 for y. 13 Solve -127*s - 310*s - 1426 - 13432 = 0 for s. -34 Solve -2103 - 2923 = 359*r for r. -14 Solve -418 = 43*o + 313 for o. -17 Solve 1112*c - 1084*c - 361 = 31 for c. 14 Solve 214*b - 462 = -205*b + 397*b for b. 21 Solve 491*g + 2504 = -135*g for g. -4 Solve 0 = 114*z + 22*z - 496 + 88 for z. 3 Solve -1498*q + 1432*q = -132 for q. 2 Solve 11*d + 7265 = 7507 for d. 22 Solve 339 = 681*i - 708*i + 42 for i. -11 Solve 200*i + 5467 = 867 for i. -23 Solve -12*g - 1 - 82 = 73 for g. -13 Solve 0 = 56*p - 144*p - 103 + 1247 for p. 13 Solve 1614*j = 1565*j - 833 for j. -17 Solve 77*f + 94 = -148*f - 131 for f. -1 Solve -5 - 54 = -8*f + 21 for f. 10 Solve 0 = 76*h + 2866 - 3094 for h. 3 Solve 1398 = 172*g + 538 for g. 5 Solve 0 = -836*u + 823*u - 182 for u. -14 Solve k = 10*k - 92*k - 830 for k. -10 Solve 0 = 227*t - 163*t + 118 + 10 for t. -2 Solve 2875 = 97*v + 1614 for v. 13 Solve -3694*b + 3613*b = -729 for b. 9 Solve 0 = -916*i + 17583 + 18141 for i. 39 Solve 561 = 57*l - 478 + 298 for l. 13 Solve 61*t + 99 = 2*t - 845 for t. -16 Solve -1024*h = -1104*h - 400 for h. -5 Solve -50*d = -55*d - 78*d - 664 for d. -8 Solve -1193*p + 1197*p + 20 = 0 for p. -5 Solve -16*r + 2345 = -83*r for r. -35 Solve -81*x - 98 = -8*x - 24*x for x. -2 Solve 95*a + 70 = -81 + 56 for a. -1 Solve -827*b = -925*b + 2646 for b. 27 Solve -111*l - 128 = -214*l + 119*l for l. -8 Solve -24*j = 11*j + 9*j + 23*j for j. 0 Solve -401*n - 527*n - 7891 = -321*n for n. -13 Solve -137*s + 120 = 129*s - 260*s for s. 20 Solve -167*p = -439*p + 237 - 781 for p. -2 Solve -1182 - 448 = -163*c for c. 10 Solve 4*d - 887 + 919 = 0 for d. -8 Solve -2*w - 1061 = 22*w - 1277 for w. 9 Solve -72*w - 191*w - 2322 = -5*w for w. -9 Solve -1211 = 35*a - 2121 for a. 26 Solve 190 + 88 = -106*f - 252 for f. -5 Solve -82*i - 72 = 54*i + 64 for i. -1 Solve -429*r + 445*r = 96 + 48 for r. 9 Solve -22722 = -1033*l + 4136 for l. 26 Solve 10*f + 0*f - 10 = -20 for f. -1 Solve 4*d - 14*d - 440 = 12*d for d. -20 Solve -65*x + 118 = -38 + 26 for x. 2 Solve 3 = 7*h + 10 for h. -1 Solve 323 = -40*o + 243 for o. -2 Solve 17*g - 29*g + 33*g - 378 = 0 for g. 18 Solve 10*g - 61 = 70 - 31 for g. 10 Solve 2233*q - 2593*q - 720 = 0 for q. -2 Solve 204*z + 5847 = -121*z - 3903 for z. -30 Solve 949 = -28*q + 1634 - 993 for q. -11 Solve 7*p - 37*p - 39 = -17*p for p. -3 Solve 60*y - 1144 + 1026 - 1622 = 0 for y. 29 Solve 77*l = 21*l - 108*l + 1804 for l. 11 Solve 144*m + 2427 = -2181 for m. -32 Solve -1098*p - 1893 - 3597 = 0 for p. -5 Solve -12*f - 1601 = -1697 for f. 8 Solve -93*b - 5 = -50*b + 425 for b. -10 Solve 0 = 341*v - 330*v - 66 for v. 6 Solve -32*j - 145 - 355 = -82*j for j. 10 Solve -k = 20741 - 20740 for k. -1 Solve -19*r + 9 + 15 = -90 for r. 6 Solve 0 = -247*v + 503*v - 226*v - 210 for v. 7 Solve -96*g - 12 = -92*g for g. -3 Solve 3*i + 3*i = 105 - 117 for i. -2 Solve 43*p - 4 = 63*p + 96 for p. -5 Solve 33*j - 78*j + 105*j = 720 for j. 12 Solve -479*i = -472*i - 7 for i. 1 Solve 759 = 97*a + 1244 for a. -5 Solve 8*f - 77315 + 77115 = 0 for f. 25 Solve 0 = -12952*y + 12960*y - 56 for y. 7 Solve -58*p - 329 = 19 for p. -6 Solve 30*i - 1998 = -2568 for i. -19 Solve -342*g + 399*g = -61 - 53 for g. -2 Solve 24*r = 4*r - 28*r - 624 for r. -13 Solve -58*w - 19587 = -20689 for w. 19 Solve -63*t - 59*t + 33*t + 712 = 0 for t. 8 Solve 28*u - 5 + 4 = -1 for u. 0 Solve -38*q + 874 - 532 = 0 for q. 9 Solve 7 = 95*t + 7 for t. 0 Solve 10*h = 1193 - 1213 for h. -2 Solve 65 - 28 = 77*u - 117 for u. 2 Solve -9*n = 60 - 73 - 77 for n. 10 Solve -46*o = -9*o + 303 + 104 for o. -11 Solve 14*m = -53*m - m for m. 0 Solve 176 = -134*f - 42*f for f. -1 Solve 275*c - 29*c = 3380 + 2032 for c. 22 Solve -27*g + 69 + 219 = -117 for g. 15 Solve -2*z + 3251 = 1595 + 1624 for z. 16 Solve 74 - 82 = r for r. -8 Solve 0 = -66*h + 321*h + 4080 for h. -16 Solve 0 = 15*s + 11*s + 73 + 187 for s. -10 Solve 50 = -41*t + 602 + 63 for t. 15 Solve -168*x + 15 = -173*x for x. -3 Solve 15*l - 5 + 161 = -24*l for l. -4 Solve 80 = -208*t - 960 for t. -5 Solve -18*b + 44*b + 212*b + 4998 = 0 for b. -21 Solve 103*w - 686 - 138 = 0 for w. 8 Solve 238 = -21*m + 7 for m. -11 Solve -43 + 13 = -4*y + 6 for y. 9 Solve 0 = 1167064*r - 1167091*r - 1026 for r. -38 Solve 222*r + 46*r - 48*r - 3520 = 0 for r. 16 Solve 7*b + 19*b - 8*b + 180 = 0 for b. -10 Solve -7*r + 1245 = 2557 - 1102 for r. -30 Solve 114*k + 1358 = 313*k - 3816 for k. 26 Solve -183*z = -86*z + 3953 - 558 for z. -35 Solve -188780*y = -188917*y - 274 for y. -2 Solve -854 = 981*c + 2089 for c. -3 Solve -3 = -30*h + 164 + 43 for h. 7 Solve v - 52 + 5 = -26 for v. 21 Solve -196*v - 6747 + 481 = -1170 for
{ "pile_set_name": "DM Mathematics" }
- 40. Calculate the highest common factor of k and q. 10 Let u = 489 + -474. Let x = 4 + -7. Let k = u + x. What is the highest common factor of 48 and k? 12 Let x = -3 + 19. Suppose x*y = 12*y + 24. Calculate the greatest common factor of y and 4. 2 Let c(q) = -5*q - 5. Let i be c(-12). Suppose d + w - i = 0, d - 2*w - 4 - 39 = 0. Calculate the greatest common divisor of d and 17. 17 Suppose -19*u + 44 = -17*u. Calculate the greatest common factor of 22 and u. 22 Let y = -25 - -61. Suppose 0 = -11*v + 9*v + y. What is the highest common divisor of 27 and v? 9 Suppose 2*i - 10 = -3*m - 1, -5*i + 4*m = -11. Suppose -2*w - 46 = -c, i*w = -0*c + c - 42. Calculate the greatest common factor of 9 and c. 9 Let k = -135 + 161. Suppose 0 = 5*n - 0*n. Suppose -3*v + v = 4*l - 2, n = 5*v + 3*l - k. What is the greatest common divisor of v and 28? 7 Let n be ((-24)/(-10))/(-6*(-1)/180). Suppose n = 4*i - 128. What is the greatest common factor of i and 20? 10 Suppose 5*f + 273 = 748. Let z = -84 + f. Calculate the greatest common divisor of z and 176. 11 Let r be (2/6)/(15/5715). Suppose 8*l - 121 - r = 0. What is the highest common factor of l and 217? 31 Suppose 6*s - 18 - 12 = 0. Suppose -3*r + 5*r - 22 = -s*z, 0 = -3*z. What is the highest common factor of 66 and r? 11 Suppose -12*w + 12 = -15*w. Let n be (-144)/40*10/w. Let f(h) = -h**3 + 6*h**2 + 7*h + 3. Let o be f(7). What is the greatest common factor of o and n? 3 Let d(z) = z**3 + 2*z**2 + z + 1. Let x be d(2). Let i = 79 + -75. Suppose -i*j + 592 = 4*c, c - 4 + 160 = j. What is the greatest common factor of x and j? 19 Let w be (15/135)/((-2)/(-48))*87. What is the highest common divisor of w and 64? 8 Let o = 42357 - 42346. Let n be (-1)/2 - (-10)/4. Suppose -v - v = -n. What is the greatest common factor of v and o? 1 Let f = -1076 - -1088. Calculate the greatest common factor of 64 and f. 4 Let v = -814 + 1192. Suppose -9*c = -2*c - v. What is the greatest common divisor of c and 135? 27 Let d(o) = 3*o**2 + o - 1. Let q be d(-2). Let j = 49 + -40. What is the highest common factor of j and q? 9 Let k be (-8436)/(-304) - (-6)/(-8). Calculate the highest common factor of 15 and k. 3 Suppose -5*n + 5*k = -580, 7*k - 10*k - 227 = -2*n. Calculate the highest common divisor of n and 33. 11 Let v = -695 + 765. Calculate the highest common factor of 35 and v. 35 Let z(k) = -k**3 + 5*k**2 - 2*k + 4. Let a be z(4). Let x = 547 - 529. Calculate the highest common divisor of a and x. 6 Suppose 6*c - 3*g + 5 = 4*c, 0 = -4*c + g + 5. Let w = -35 - -37. Suppose -5*p - l = -w*l - 123, -l + 52 = c*p. What is the greatest common factor of 10 and p? 5 Let r be 1/(1/(-3) - (-4582)/13224). What is the highest common divisor of r and 32? 4 Let q(k) = k**3 - 14*k**2 - 14*k - 6. Let h be q(15). What is the highest common divisor of 21 and h? 3 Let k be 6 + (-3 + 3)/(-2). Let t be 3 - 3/(-6)*k. Let p be 106/t - (-10)/30. Calculate the highest common divisor of 162 and p. 18 Let v = -17 - -6. Let d(z) = 13*z + 11. Let l be d(v). Let r be 3/9 + l/(-9). What is the greatest common factor of 75 and r? 15 Suppose -5*c = -5*k - 100, 10*c - 41 = 8*c + k. Calculate the greatest common factor of 8 and c. 1 Let i be -5*(-3)/(18/258). What is the greatest common divisor of i and 86? 43 Let c be ((-6)/(-4) + -1)/(1/36). Suppose -9*k - 18 = -12*k. What is the greatest common divisor of k and c? 6 Let x(w) = -2*w**3 - 15*w**2 + 7*w - 6. Let p(v) = v**3 + 3*v**2 - v + 4. Let j be p(-4). Let y be x(j). What is the greatest common divisor of y and 18? 2 Let y(z) = 2*z**3 + z**2 - 2*z + 1. Let h be y(1). Let l be (0 - (-17 - h)) + (0 - 3). What is the greatest common divisor of l and 112? 16 Suppose 5 = -0*j + 5*j + 5*p, 28 = 3*j - 2*p. What is the highest common divisor of j and 6? 6 Suppose 60*n = 74*n - 1456. What is the highest common factor of 8 and n? 8 Let g(w) = w**2 - 3*w + 50. Let d be g(8). Calculate the greatest common divisor of 20 and d. 10 Let k be (-3568)/(-12) - (-1)/(-3). Suppose 115 = 5*j + 5*s, -72*j + 77*j + 3*s - 123 = 0. Calculate the greatest common divisor of j and k. 27 Let p = 25 + -21. Suppose -98 = -p*u - 34. Calculate the greatest common factor of u and 176. 16 Let d(v) = -v**3 - 14*v**2 - v + 10. Let b be d(-14). Calculate the highest common divisor of 6 and b. 6 Suppose 5*g - 10 = 0, -f + 3*g = -86 - 78. Suppose -251*m + 180*m = -4828. Calculate the greatest common factor of f and m. 34 Let u = 55 - 51. Suppose 2*n = u*g + 134, -2*n - 3*g = -g - 164. What is the highest common divisor of 7 and n? 7 Let w be 0/(-1 - (-2 - 1)). Suppose w*i - i = -6. Calculate the highest common factor of 66 and i. 6 Let b = 3 + 2. Suppose 3*h + 52 = 4*u, -2*u + 3*u - h - 14 = 0. Suppose 30 = u*s - b*s. What is the highest common divisor of 15 and s? 3 Let w(m) = -36*m + 168. Let j be w(-26). Calculate the greatest common factor of 138 and j. 138 Let r(s) = s + 1. Let q be r(2). Suppose k - 2*c - 22 = 0, 5*k - 72 - 10 = q*c. Calculate the greatest common factor of k and 70. 14 Let t = 10 - 8. Suppose -4*p - t*k = -26 - 6, -5*p + 3*k = -18. What is the greatest common factor of 18 and p? 6 Let n(z) = -2*z + 6. Let t be n(-8). Calculate the greatest common divisor of 33 and t. 11 Let v be -7*(-4 - (-50)/14). Suppose v*t + 80 = 7*t. Calculate the highest common divisor of t and 10. 10 Suppose -4*p + 4*d = -4, -2 = 3*d + 1. Let y be 1/(-1)*1*(-3 - p). What is the greatest common divisor of y and 9? 3 Let a(s) = 30*s**2 + 9 + 2*s - 6*s - 29*s**2. Let o be a(4). What is the highest common factor of o and 9? 9 Let w(f) = -3*f + 3 - 2 + 9. Let y be w(3). Let n(p) = 4*p**3 + p - 2. Let c be n(y). What is the greatest common divisor of c and 6? 3 Let s(r) be the second derivative of r**3/6 - 3*r**2/2 + r. Let l be s(8). Suppose l*w - w = 4. Calculate the highest common divisor of w and 9. 1 Let d be (-141)/376 + 795/8. Calculate the greatest common divisor of d and 66. 33 Let k be (-5 + -8)*(-2)/(-2). Let z = 14 + k. Calculate the highest common divisor of z and 11. 1 Let k(g) = g. Let c(m) = 7*m - 9. Let s(w) = c(w) + 6*k(w). Let x be s(3). Let v be 3615/x + (-1)/(-2). What is the greatest common divisor of 11 and v? 11 Suppose 90 = -4*x + 390. Suppose 4*a + 27 = x. What is the greatest common divisor of a and 84? 12 Let l(c) = c**2 + 10*c + 21. Let g = -31 - -22. Let z be l(g). Calculate the greatest common divisor of z and 84. 12 Let n(r) be the second derivative of r**4/2 + r**3/2 - 21*r**2/2 - 26*r. Let x be n(-5). Calculate the highest common divisor of x and 6. 6 Let s(c) = -5*c + 4*c + 4*c + 4*c**2 + c. Let v be s(-3). What is the greatest common factor of v and 3? 3 Suppose 0 = -5*k - 5*r + r + 490, 10 = -2*r. Calculate the greatest common divisor of k and 17. 17 Let t(r) = -27*r - 30. Let n be t(-2). Suppose 2*w + 34 + 236 = 0. Let m be (-32)/(-6)*w/(-12). What is the highest common divisor of n and m? 12 Suppose 0 = -5*d + 65 + 15. Let a = -22 + 14. Let w be (-6)/(-8) - 58/a. Calculate the greatest common divisor of d and w. 8 Let h(t) = -t**3 + 13*t**2 + 21*t - 112. Let r be h(11). Calculate the highest common divisor of r and 19. 19 Suppose -75 = -3*x + 81. Let w = -124 + 137. Calculate the highest common divisor of w and x. 13 Suppose -6*c - 1174 = -1636. What is the greatest common divisor of 21 and c? 7 Suppose -5*j = 2*d - 170, j - 2*d - 22 = 24. Suppose n = 3*g - 18, 0 = -3*n - 2*n - 3*g - j. Let t = -3 - n. Calculate the greatest common divisor of t and 42. 6 Let y be (-32)/(-6)*(-306)/(-24). Suppose -5*c + 3*n + 162 = 0, -2*n + 0*n + y = 2*c. What is the highest common divisor of c and 11? 11 Suppose 796 - 266 = 5*o. Calculate the greatest common divisor of 159 and o. 53 Suppose 4*w + 0 = -3*k - 8, 0 = 4*k + 4*w + 4. Calculate the greatest common divisor of 22 and k. 2 Suppose c - b - 100 = 0, b + 400 = 3*c + c. Calculate the greatest common factor of 25 and c. 25 Let h be 8/10*(-5985)/42. Let t = 116 + h. Calculate the greatest common divisor of 9 and t. 1 Suppose 267*t = 263*t + 540. Calculate the greatest common divisor of 81 and t. 27 Let f(u) = 14*u**2 - 15*u + 26. Let h be f(5). What is the highest common factor of h and 43? 43 Let r(i) = -i**3 - i**2 + 27. Let v be r(0). Suppose 5*c - 714 = 96. Su
{ "pile_set_name": "DM Mathematics" }
he prime factors of 34793. 11, 3163 List the prime factors of 185. 5, 37 List the prime factors of 27787. 37, 751 List the prime factors of 12926. 2, 23, 281 What are the prime factors of 7860? 2, 3, 5, 131 What are the prime factors of 43948? 2, 10987 List the prime factors of 9507. 3, 3169 List the prime factors of 39291. 3, 7, 1871 List the prime factors of 7. 7 List the prime factors of 1044. 2, 3, 29 What are the prime factors of 79434? 2, 3, 1471 What are the prime factors of 4857? 3, 1619 What are the prime factors of 4032? 2, 3, 7 List the prime factors of 131287. 13, 10099 List the prime factors of 2017. 2017 List the prime factors of 42760. 2, 5, 1069 List the prime factors of 3116. 2, 19, 41 List the prime factors of 13233. 3, 11, 401 List the prime factors of 12913. 37, 349 What are the prime factors of 55? 5, 11 What are the prime factors of 4630? 2, 5, 463 What are the prime factors of 338? 2, 13 List the prime factors of 21971. 127, 173 What are the prime factors of 916? 2, 229 What are the prime factors of 4529? 7, 647 List the prime factors of 43188. 2, 3, 59, 61 What are the prime factors of 7622? 2, 37, 103 List the prime factors of 876. 2, 3, 73 List the prime factors of 124442. 2, 43, 1447 What are the prime factors of 2287? 2287 List the prime factors of 2368. 2, 37 What are the prime factors of 34008? 2, 3, 13, 109 What are the prime factors of 3038? 2, 7, 31 List the prime factors of 1730. 2, 5, 173 What are the prime factors of 1724? 2, 431 List the prime factors of 12010. 2, 5, 1201 What are the prime factors of 4101? 3, 1367 What are the prime factors of 1376? 2, 43 What are the prime factors of 4139? 4139 What are the prime factors of 469? 7, 67 List the prime factors of 1897. 7, 271 List the prime factors of 13297. 13297 What are the prime factors of 34042? 2, 17021 List the prime factors of 992. 2, 31 What are the prime factors of 1141? 7, 163 List the prime factors of 61318. 2, 23, 31, 43 What are the prime factors of 182? 2, 7, 13 What are the prime factors of 703? 19, 37 List the prime factors of 1656. 2, 3, 23 What are the prime factors of 116? 2, 29 List the prime factors of 1973. 1973 List the prime factors of 4841. 47, 103 List the prime factors of 3903. 3, 1301 What are the prime factors of 124079? 127, 977 What are the prime factors of 26006? 2, 13003 List the prime factors of 448. 2, 7 What are the prime factors of 642? 2, 3, 107 List the prime factors of 1384. 2, 173 List the prime factors of 1006. 2, 503 List the prime factors of 5844. 2, 3, 487 List the prime factors of 6135. 3, 5, 409 What are the prime factors of 9463? 9463 List the prime factors of 2704. 2, 13 What are the prime factors of 36318? 2, 3, 6053 What are the prime factors of 1408? 2, 11 What are the prime factors of 813? 3, 271 What are the prime factors of 11104? 2, 347 List the prime factors of 391. 17, 23 What are the prime factors of 377? 13, 29 What are the prime factors of 1252? 2, 313 List the prime factors of 1320. 2, 3, 5, 11 List the prime factors of 95151. 3, 7, 23, 197 What are the prime factors of 67808? 2, 13, 163 What are the prime factors of 1158? 2, 3, 193 List the prime factors of 30923. 17, 107 List the prime factors of 6434. 2, 3217 List the prime factors of 143400. 2, 3, 5, 239 List the prime factors of 30414. 2, 3, 37, 137 List the prime factors of 100383. 3, 33461 What are the prime factors of 137150? 2, 5, 13, 211 List the prime factors of 21446. 2, 10723 List the prime factors of 48079. 48079 What are the prime factors of 1006? 2, 503 List the prime factors of 3901. 47, 83 List the prime factors of 65728. 2, 13, 79 List the prime factors of 1936. 2, 11 What are the prime factors of 18100? 2, 5, 181 What are the prime factors of 21248? 2, 83 List the prime factors of 2504. 2, 313 List the prime factors of 8663. 8663 What are the prime factors of 899? 29, 31 List the prime factors of 684. 2, 3, 19 What are the prime factors of 270? 2, 3, 5 What are the prime factors of 5969? 47, 127 What are the prime factors of 3715? 5, 743 List the prime factors of 2503. 2503 What are the prime factors of 12464? 2, 19, 41 What are the prime factors of 79497? 3, 11, 73 List the prime factors of 13164. 2, 3, 1097 What are the prime factors of 3270? 2, 3, 5, 109 List the prime factors of 17090. 2, 5, 1709 List the prime factors of 19027. 53, 359 What are the prime factors of 545? 5, 109 List the prime factors of 48137. 37, 1301 List the prime factors of 936. 2, 3, 13 What are the prime factors of 2829? 3, 23, 41 List the prime factors of 17286. 2, 3, 43, 67 What are the prime factors of 6785? 5, 23, 59 List the prime factors of 754. 2, 13, 29 What are the prime factors of 134? 2, 67 List the prime factors of 579. 3, 193 What are the prime factors of 85? 5, 17 What are the prime factors of 6327? 3, 19, 37 List the prime factors of 1120. 2, 5, 7 What are the prime factors of 21461? 11, 1951 What are the prime factors of 90130? 2, 5, 9013 List the prime factors of 14672. 2, 7, 131 List the prime factors of 36655. 5, 7331 What are the prime factors of 117796? 2, 7, 601 List the prime factors of 53790. 2, 3, 5, 11, 163 List the prime factors of 9783. 3, 1087 List the prime factors of 999. 3, 37 What are the prime factors of 644? 2, 7, 23 List the prime factors of 6970. 2, 5, 17, 41 What are the prime factors of 21670? 2, 5, 11, 197 List the prime factors of 633. 3, 211 What are the prime factors of 2338? 2, 7, 167 List the prime factors of 1993. 1993 What are the prime factors of 6991? 6991 What are the prime factors of 36375? 3, 5, 97 What are the prime factors of 11319? 3, 7, 11 List the prime factors of 2403. 3, 89 List the prime factors of 1277. 1277 What are the prime factors of 4887? 3, 181 What are the prime factors of 1452? 2, 3, 11 What are the prime factors of 40009? 40009 What are the prime factors of 20823? 3, 11, 631 List the prime factors of 12616. 2, 19, 83 What are the prime factors of 31618? 2, 15809 What are the prime factors of 1164? 2, 3, 97 What are the prime factors of 4706? 2, 13, 181 What are the prime factors of 345? 3, 5, 23 List the prime factors of 2256. 2, 3, 47 List the prime factors of 123202. 2, 229, 269 What are the prime factors of 3004? 2, 751 List the prime factors of 684. 2, 3, 19 What are the prime factors of 3178? 2, 7, 227 List the prime factors of 19766. 2, 9883 List the prime factors of 3415. 5, 683 List the prime factors of 12740. 2, 5, 7, 13 List the prime factors of 37277. 37277 What are the prime factors of 136881? 3, 67, 227 What are the prime factors of 5113? 5113 List the prime factors of 13051. 31, 421 List the prime factors of 46. 2, 23 What are the prime factors of 1355? 5, 271 List the prime factors of 18648. 2, 3, 7, 37 List the prime factors of 344. 2, 43 List the prime factors of 13814. 2, 6907 List the prime factors of 91297. 91297 List the prime factors of 23515. 5, 4703 What are the prime factors of 3506? 2, 1753 List the prime factors of 20347. 20347 List the prime factors of 2107. 7, 43 What are the prime factors of 9455? 5, 31, 61 What are the prime factors of 781? 11, 71 What are the prime factors of 56195? 5, 11239 What are the prime factors of 27204? 2, 3, 2267 What are the prime factors of 6704? 2, 419 What are the prime factors of 4719? 3, 11, 13 List the prime factors of 577. 577 What are the prime factors of 11362? 2, 13, 19, 23 What are the prime factors of 89717? 73, 1229 List the prime factors of 9446. 2, 4723 List the prime factors of 1544. 2, 193 List the prime factors of 1500. 2, 3, 5 What are the prime factors of 44289? 3, 7, 19, 37 What are the prime factors of 70972? 2, 11, 1613 What are the prime factors of 956? 2, 239 What are the prime factors of 48523? 48523 What are the prime factors of 107? 107 List the prime factors of 960. 2, 3, 5 List the prime factors of 7246. 2, 3623 What are the prime factors of 2820? 2, 3, 5, 47 List the prime factors of 133774. 2, 211, 317 List the prime factors of 4703. 4703 List the prime factors of 1595. 5, 11, 29 What are the prime factors of 2558? 2, 1279 List the prime factors of 14870. 2, 5, 1487 What are the prime factors of 1210? 2, 5, 11 List the prime factors of 960. 2, 3, 5 List the prime factors of 5432. 2, 7, 9
{ "pile_set_name": "DM Mathematics" }
-63182? 5*r**2 - 12659*r - 12 What is the j'th term of -9062299, -9062298, -9062297, -9062296, -9062295, -9062294? j - 9062300 What is the i'th term of 67297, 127545, 187793? 60248*i + 7049 What is the d'th term of 826, 888, 962, 1048, 1146? 6*d**2 + 44*d + 776 What is the j'th term of 41559, 41110, 40661? -449*j + 42008 What is the r'th term of 1110, 13164, 45888, 109620, 214698, 371460, 590244? 1723*r**3 - 3*r**2 + 2*r - 612 What is the u'th term of -367449, -366726, -366003, -365280? 723*u - 368172 What is the c'th term of 1130176, 1130175, 1130174, 1130173, 1130172, 1130171? -c + 1130177 What is the m'th term of 2628, 17496, 56848, 132924, 257964, 444208, 703896? 2040*m**3 + 2*m**2 + 582*m + 4 What is the x'th term of -759945, -759943, -759941, -759939, -759937? 2*x - 759947 What is the w'th term of 14754058, 14754061, 14754064? 3*w + 14754055 What is the s'th term of -914, 1108, 3120, 5116, 7090, 9036? -s**3 + s**2 + 2026*s - 2940 What is the z'th term of -56046899, -56046907, -56046927, -56046965, -56047027? -z**3 - z - 56046897 What is the k'th term of -45547, -166132, -367095, -648430, -1010131, -1452192, -1974607? k**3 - 40195*k**2 - 7*k - 5346 What is the v'th term of -1293, -1506, -1733, -1980, -2253, -2558, -2901? -v**3 - v**2 - 203*v - 1088 What is the k'th term of 480138, 480299, 480460, 480621, 480782? 161*k + 479977 What is the m'th term of 1240545, 1240553, 1240561, 1240569, 1240577, 1240585? 8*m + 1240537 What is the x'th term of -42813, -85268, -127369, -169116? 177*x**2 - 42986*x - 4 What is the x'th term of 14394, 14905, 15452, 16053, 16726, 17489? 3*x**3 + 490*x + 13901 What is the d'th term of 11138, 89101, 300710, 712787, 1392154? 11137*d**3 + d**2 + d - 1 What is the m'th term of -13878, -57111, -129166, -230043, -359742, -518263, -705606? -14411*m**2 + 533 What is the y'th term of -3011, -2078, -1145, -212? 933*y - 3944 What is the i'th term of 261409, 522359, 783307, 1044253, 1305197, 1566139, 1827079? -i**2 + 260953*i + 457 What is the x'th term of -1342, -6053, -13944, -25009, -39242, -56637, -77188, -100889? x**3 - 1596*x**2 + 70*x + 183 What is the g'th term of 1333783, 5335137, 12004059, 21340549, 33344607? 1333784*g**2 + 2*g - 3 What is the t'th term of 58, 614, 1144, 1636, 2078, 2458? -2*t**3 - t**2 + 573*t - 512 What is the d'th term of -3133, -8314, -17429, -32446, -55333, -88058? -328*d**3 + d**2 - 2888*d + 82 What is the d'th term of 82975, 87023, 91073, 95125, 99179, 103235, 107293? d**2 + 4045*d + 78929 What is the c'th term of 492234, 987714, 1483194, 1978674, 2474154, 2969634? 495480*c - 3246 What is the z'th term of -60789690, -60789689, -60789688, -60789687? z - 60789691 What is the w'th term of -184111, -184219, -184327, -184435, -184543, -184651? -108*w - 184003 What is the w'th term of -201589, -402983, -604377, -805771, -1007165, -1208559? -201394*w - 195 What is the k'th term of 290116, 290176, 290226, 290266, 290296? -5*k**2 + 75*k + 290046 What is the g'th term of -296436, -592882, -889354, -1185864, -1482424, -1779046? -2*g**3 - g**2 - 296429*g - 4 What is the q'th term of 20339, 46596, 78769, 116858, 160863, 210784, 266621? 2958*q**2 + 17383*q - 2 What is the q'th term of -85612, -94384, -108998, -129448, -155728, -187832? q**3 - 2927*q**2 + 2*q - 82688 What is the n'th term of -24541599, -49083193, -73624787? -24541594*n - 5 What is the p'th term of -10183920, -20367831, -30551742, -40735653, -50919564? -10183911*p - 9 What is the f'th term of 23352, 186829, 630544, 1494615, 2919160, 5044297, 8010144, 11956819? 23353*f**3 + f**2 + 3*f - 5 What is the l'th term of 38725, 154855, 348413, 619405, 967837, 1393715? l**3 + 38708*l**2 - l + 17 What is the x'th term of -426558, -853351, -1280158, -1706985, -2133838, -2560723? -x**3 - x**2 - 426783*x + 227 What is the x'th term of 13574, 27001, 40282, 53411, 66382, 79189, 91826, 104287? -x**3 - 67*x**2 + 13635*x + 7 What is the f'th term of -1297862, -2595816, -3893770, -5191724, -6489678? -1297954*f + 92 What is the g'th term of -141812, -285037, -428262, -571487, -714712? -143225*g + 1413 What is the o'th term of 12330, 12305, 12272, 12231? -4*o**2 - 13*o + 12347 What is the h'th term of -72074, -76702, -84414, -95210, -109090? -1542*h**2 - 2*h - 70530 What is the z'th term of -809, -3299, -7475, -13331, -20861, -30059, -40919? z**3 - 849*z**2 + 50*z - 11 What is the u'th term of 1354959, 1355011, 1355127, 1355331, 1355647? 4*u**3 + 8*u**2 + 1354947 What is the p'th term of -982, -2483, -5084, -9367, -15914, -25307, -38128, -54959? -97*p**3 + 32*p**2 - 918*p + 1 What is the y'th term of -13692, -27696, -41700? -14004*y + 312 What is the g'th term of -82363, -164669, -246949, -329191, -411383, -493513, -575569? 2*g**3 + g**2 - 82323*g - 43 What is the o'th term of 6333, 25189, 56639, 100701, 157393, 226733? 3*o**3 + 6279*o**2 - 2*o + 53 What is the p'th term of 10977, 21064, 31151, 41238? 10087*p + 890 What is the a'th term of -5634, -4877, -4118, -3357? a**2 + 754*a - 6389 What is the w'th term of -2316580, -4633159, -6949738, -9266317, -11582896, -13899475? -2316579*w - 1 What is the w'th term of 66169910, 66169933, 66169956? 23*w + 66169887 What is the j'th term of -395092, -395093, -395094? -j - 395091 What is the z'th term of 10171, 40666, 91471, 162568, 253939, 365566, 497431? -3*z**3 + 10173*z**2 - 3*z + 4 What is the u'th term of 9494, 18340, 27186? 8846*u + 648 What is the p'th term of 1384, 2594, 3804, 5014, 6224, 7434? 1210*p + 174 What is the m'th term of -628, -645, -654, -667, -696? -2*m**3 + 16*m**2 - 51*m - 591 What is the m'th term of 19925411, 19925404, 19925393, 19925378, 19925359, 19925336, 19925309? -2*m**2 - m + 19925414 What is the y'th term of 565113, 1130271, 1695429, 2260587? 565158*y - 45 What is the m'th term of -3585, -7165, -10761, -14373? -8*m**2 - 3556*m - 21 What is the z'th term of 3828740, 3828741, 3828742, 3828743, 3828744, 3828745? z + 3828739 What is the k'th term of -632960, -632957, -632930, -632867, -632756, -632585? 2*k**3 - 11*k - 632951 What is the i'th term of 5758, 15831, 25904, 35977? 10073*i - 4315 What is the m'th term of -427, -1016, -1883, -3028, -4451? -139*m**2 - 172*m - 116 What is the j'th term of 1562233, 1562224, 1562215, 1562206, 1562197, 1562188? -9*j + 1562242 What is the g'th term of -6294490, -12588985, -18883480, -25177975? -6294495*g + 5 What is the p'th term of -61055, -61118, -61281, -61592, -62099, -62850, -63893? -8*p**3 - 2*p**2 - p - 61044 What is the t'th term of -3083377, -6166755, -9250133? -3083378*t + 1 What is the v'th term of -3998, -6909, -9820, -12731, -15642, -18553? -2911*v - 1087 What is the l'th term of -2934902, -5869797, -8804692? -2934895*l - 7 What is the x'th term of 2885, 13010, 30319, 54818, 86513, 125410, 171515, 224834? x**3 + 3586*x**2 - 640*x - 62 What is the n'th term of 447114, 447234, 447378, 447558, 447786, 448074, 448434, 448878? 2*n**3 + 106*n + 447006 What is the f'th term of -852, -3145, -6564, -10779, -15460? 55*f**3 - 893*f**2 + f - 15 What is the h'th term of -110, -662, -1578, -2858, -4502, -6510? -182*h**2 - 6*h + 78 What is the d'th term of 43145, 86545, 130209, 174143, 218353, 262845, 307625, 352699? d**3 + 126*d**2 + 43015*d + 3 What is the b'th term of -109977, -219928, -329879? -109951*b - 26 What is the j'th term of -843711, -1687389, -2531081, -3374793, -4218531, -5062301, -5906109, -6749961? -j**3 - j**2 - 843668*j - 41 What is the p'th term of 70785, 130173, 189563, 248955, 308349? p**2 + 59385*p + 11399 What is the t'th term of 54650297, 54650292, 54650285, 54650276, 54650265, 54650252, 54650237? -t**2 - 2*t + 54650300 What is the w'th term of 324168, 324213, 324262, 324315, 324372, 324433? 2*w**2 + 39*w + 324127 What is the y'th term of -11954023, -11954021, -11954019, -11954017, -11954015? 2*y - 11954025 What is the k'th term of -19671, -19529, -19397, -19275, -19163, -19061, -18969? -5*k**2 + 157*k - 19823 What is the y'th term of 1078, 1541, 2310, 3391, 4790, 6513? y**3 + 147*y**2 + 15*y + 915 What is the d'th term of -301875, -1207519, -2716933, -4830117, -7547071? -301885*d**2 + 11*d - 1 What is the x'th term of 33399, 267219, 901917, 2137947, 4175763, 7215819, 11458569? 33409*x**3 - 15*x**2 + 2*x + 3 What is the f'th ter
{ "pile_set_name": "DM Mathematics" }
hat is the smallest value in n, 3, m? m Let t = 183 + -163. What is the second biggest value in -2, 6, -3, t? 6 Let d = 3 - 0. Let x be ((-4)/(-20))/((-2)/(-5)). Let p = 33 + -29. Which is the biggest value? (a) x (b) d (c) p c Let m = -3.2 + 1.8. Let f = -3.6 + m. Which is the third smallest value? (a) -9 (b) f (c) 0.5 c Let d = 692 + -696. What is the smallest value in 4, d, 0.2, -92? -92 Let i = -2441/4 + 611. Let x = 295/416 - 8/13. Let b = x + 37/288. What is the biggest value in 1/9, b, i? i Let b(q) be the third derivative of -q**4/12 + q**3 + 5*q**2. Let d be b(1). What is the second biggest value in -0.5, d, 2? 2 Let a = -919 - -918.7. What is the smallest value in -0.2, -16/13, a? -16/13 Let v = 110.2 - 174.2. Which is the third smallest value? (a) -4 (b) v (c) -0.06 c Let k = -5.928 - -1.928. Let y = -258 - -3356/13. Which is the fourth smallest value? (a) 4 (b) y (c) k (d) 0 a Let u be 3 + (-1 - (-12)/15)*-573. Let y = 117 - u. What is the third smallest value in 1/5, y, -3, 2? 1/5 Let s be 6 + -1 - 2 - 1*2. Let x be 16/16 - (s - 5). What is the fourth smallest value in -0.1, 1/4, x, -5? x Let z = 3.15 - 0.15. Let f = -2/563 - 2811/1126. What is the biggest value in f, -0.5, z? z Let u be 54/(-180) - (-2 + 44/24). Let g be (1 - 8/10)/1. Which is the third biggest value? (a) u (b) 3/4 (c) g (d) -5 a Let m be (11/((-99)/(-12)))/((-1)/3). What is the fourth biggest value in -0.5, 5, 2/5, m? m Suppose 76 = -3*w - 2*q, -5*q - 34 = 2*w + 2. Let d be 6*(w/12 - -2). Which is the third biggest value? (a) 0.4 (b) 3 (c) d c Let o = -10.3 + 11. Let t = -0.3 - o. Let b = t + 2. What is the second biggest value in b, 0, -4? 0 Let u be (6/10)/((-6)/(-248)). Let r = -25 + u. What is the smallest value in 0.2, r, 13? r Let o be (-2)/3 + 1/(-3). Let q be (-3)/(-471)*(-1 - 0). Let p = q - 309/785. Which is the second biggest value? (a) 2 (b) o (c) p c Let n = -116 - -200. Let u = n + -77. Let l = 0.09 - -3.91. What is the second biggest value in l, 1, u? l Let q = -4 - -3.73. Let y = 2.27 + q. What is the third biggest value in 4/5, y, -2? -2 Let o = -2600.122 - -2609. Let n = -0.122 - o. Which is the second smallest value? (a) n (b) 4/5 (c) -1/6 (d) 0.4 c Let r = -0.2 - -4.9. Let w = -25.7 + r. Let z = w + 20. Which is the third smallest value? (a) z (b) 0 (c) -5 b Let t = -1 - -0.7. Let p = -207/2 + 617/6. Which is the smallest value? (a) p (b) -43/5 (c) t b Let k = 0.1 + 0.4. Let y = 318 - 319. Which is the third biggest value? (a) -4 (b) -2/11 (c) y (d) k c Suppose -74 = -3*k + 208. Which is the biggest value? (a) 1 (b) 0.4 (c) k c Let f = -0.238 - 0.962. Which is the third smallest value? (a) 2/3 (b) 4 (c) f b Let m be ((-78)/(-30) - 3)*80. Which is the third smallest value? (a) 0.2 (b) m (c) -0.2 a Let x be (-2 - (-40)/22)*(1 - 0). Let y = -3 + 7. What is the third smallest value in x, -4, y? y Suppose -4*g + 0 = -8. Suppose -x - 3 = q - g*x, q + 2*x = -3. Let w = -140/3 + 48. Which is the smallest value? (a) q (b) -0.1 (c) w a Let g(r) = -r**3 - r**2 - 4. Let t be g(0). Let f = 232.56 - 232.6. Which is the third smallest value? (a) -0.4 (b) f (c) t b Let z = -122.1 + 122. Let y = 383/970 + 1/194. Which is the second smallest value? (a) -4 (b) z (c) 2/11 (d) y b Let g = -0.258 - 1.742. What is the second smallest value in -1, -21, g? g Suppose 2*g = 2*r + 16, 0 = -7*g + 3*g - 4*r. Let z = -0.3 - 0.1. What is the second biggest value in g, z, 4/3? 4/3 Let f = -576 - -579. Which is the third smallest value? (a) f (b) -1.4 (c) 1 a Suppose 5*d - 9*d = 1200. Let p be (15/2 + 0)*(-15)/d. Which is the biggest value? (a) -0.5 (b) 3 (c) p b Let j = -100.7 + 103.7. Let n = 14 - -5. Which is the third smallest value? (a) n (b) j (c) 1 a Let c be 16/(-24) + (-104)/(-84). What is the second biggest value in 0.092, -5, 3, c? c Let q = -3 + -2. Let j = 1/11 - -52/33. What is the third smallest value in -2, j, q? j Let x = -7 + 11. What is the second smallest value in x, 2, -4/9, -2? -4/9 Let i = 21/10 - 8/5. Let k = 184.3 - 188.3. What is the biggest value in k, -2/19, 3, i? 3 Let d = 0.12 - -6.88. Let i = d + -5. What is the smallest value in 1.3, -0.2, i? -0.2 Let c = 4.75 + -5.15. Let h be (-16)/6 - (-8)/12. What is the third smallest value in 2/13, 4, h, c? 2/13 Suppose -4*j - 6*h + 2*h = -84, 2*h = 2*j - 22. What is the fourth smallest value in 2/3, j, -3, 4? j Let m = 2.515 + 0.485. Which is the smallest value? (a) 5 (b) -0.3 (c) 5/4 (d) m b Suppose -3*s - 174 = -4*w, 0 = -31*w + 36*w + 15. What is the smallest value in -4, -5, s? s Let o = -33.56 + 34. Let k = -2.26 - o. Let z = k - 1.3. What is the smallest value in z, -2/5, -15? -15 Let x = 24.2 - 4.2. Let p = x - 19.6. Which is the third smallest value? (a) p (b) -0.2 (c) 2/9 a Let n = 0.4 - -2.6. Let o = n + -3.3. Let s = -0.851 - 2.149. Which is the second biggest value? (a) 4 (b) o (c) s b Let m = -26422 + 26422.03. Let c(o) = -2*o + 1. Let q be c(3). What is the second smallest value in 5, q, m? m Let s = -8 - -13. Suppose 2*t + 2*w = -w + 19, -s*t = w - 28. Suppose -t*l + 20 = 4*k - 2, 3*l - 3 = k. Which is the smallest value? (a) -0.3 (b) k (c) -2 c Let m = 784 - 784. Which is the second smallest value? (a) 0.1 (b) -2/23 (c) 4/7 (d) m d Let y(i) = -15*i + 2. Let r be y(5). Let k = 43 + r. Let h be ((-10)/15)/(k/9). Which is the third biggest value? (a) -2 (b) h (c) 4 a Let p(h) = 82*h + 984. Let t be p(-12). Which is the smallest value? (a) -105 (b) t (c) 1/5 a Let n = -163 - -167. Let y be (1*-1)/((-3)/(-9)). What is the second biggest value in -1, y, 3/7, n? 3/7 Let m be ((-1)/5 - -2) + -2. Let x = 200 - 200. What is the smallest value in 3, m, x? m Let u = -0.495 + 53.295. Let q = u + -53. Let v = -3.4 + 3. What is the third biggest value in q, v, 1/3? v Let y = -2.5 - -3. Let i = 0.02 - 3.22. Let s = i - -3.3. Which is the second smallest value? (a) y (b) s (c) 2/5 c Let d = 0.0208 - 0.5208. Let h be 15/(-6)*(-2)/10. Let n = 0.16 - 5.16. Which is the biggest value? (a) n (b) d (c) h c Let b = -1201 - -1200. What is the third smallest value in -6, -7, b? b Let m(f) = -2*f**2 + f - 1. Let t be m(-2). Let h = t + 21/2. Let n = 5 + -1. Which is the second biggest value? (a) h (b) -0.3 (c) n b Let d = 0.3 - 0.2. Let x = 1.2 - 1.16. Let w = x + 0.26. Which is the second smallest value? (a) 1/3 (b) d (c) w c Let r be 1 + 1 + (-48)/23. Suppose -l + 3*l - 8 = 0. Let m be -1 + 4 + 4/l. What is the second biggest value in r, 1/9, m? 1/9 Suppose q = -3*i + 9, -5*q + 13 = -4*q + 5*i. Let p be -2*(-1)/(-2) - q. Let u = 1/7 - -5/14. Which is the second smallest value? (a) p (b) u (c) -2/3 c Let g be -5*(-3 + 856/280). Which is the second smallest value? (a) g (b) -3/4 (c) -14/9 (d) 1 b Let y = -146.9 + 155. Let g = y + -1.1. Let t be 8/14*3/(-4). What is the second smallest value in t, -4, g? t Let v be 1/(-1) - (-63)/49. Let f = 4 - 3.6. What is the second smallest value in f, 0.1, v? v Let w = -1359 + 1361. What is the third biggest value in -17, w, -2/3, 2/11? -2/3 Let s = 1323 - 6611/5. Which is the biggest value? (a) -0.4 (b) s (c) -20.5 b Let r = -497/152 - -27/8. Let l = -34/21 - -9/7. Which is the fourth smallest value? (a) -2 (b) r (c) -3 (d) l b Let n = -3161/4 - -790. What is the second smallest value in -3, -20, n? -3 Let m = -346 + 341. Which is the biggest value? (a) -1 (b) m (c) -52 a Suppose 0 = 4*p + 2*r - 1 - 1, -p - 17 = -3*r. Let k be 8/(-396)*-6*1/p. Which is the second biggest value? (a) 2/15 (b) -2 (c) k c Let i be (-2 - (-8)/(-6))*(-9)/(-21). Let z = i + -1/14. What is the fourth smallest value in z, 0.1, 0.3, 3? 3 Suppose -392 = 24*s - 2456. What is the biggest value in 2/9, -3, s, 3? s Let p = 0.45 - 0.05. Let d be 4 - 0/(5 - 2). Suppose 3*z + 4*i = d, 3*z + 2*i = -1 + 3. What is the second smallest value in z, p, -0.4? z Let j = 145 - 144.8. Let x = 11.7 - -1.3. Let t = x - 13.1. Which is the third biggest value? (a) t (b) j (c) -1/15 a Let d = -797 - -797. What is the second biggest value in -0.25, -1, d? -0.25 Let i(k) = -2*k**2 - 42*k - 26. Let q be i(-20). Suppose -2*t + 5 = -v, -5*t = v - q - 2. Which is the third biggest value? (a) -4 (b) -2 (
{ "pile_set_name": "DM Mathematics" }
/5 b What is the fourth biggest value in -3218, 1/4, 14, 0.16? -3218 What is the third smallest value in 1059/116, 2, 34, 4, -3? 4 Which is the biggest value? (a) 1/12 (b) 0 (c) -39 (d) 133 (e) -1/7 (f) 5 d What is the second biggest value in -2/7, -1/4, -11.9446, -558? -2/7 What is the third biggest value in -5, -90296, 2/3? -90296 What is the fifth smallest value in -0.1, 206, 2, 449/3, -6/7, 18? 449/3 What is the fifth biggest value in 5869, 0.1, -5, 3/2, -0.5, 8, 0? 0 Which is the sixth biggest value? (a) 3/5 (b) -0.1 (c) 4 (d) -21 (e) -165372 (f) -3/5 e What is the second biggest value in -3, -0.3, -6, -0.2, -23, 0.044, 83? 0.044 What is the smallest value in 1, -0.16428, 2? -0.16428 Which is the third biggest value? (a) 82 (b) 1 (c) 1496/3 (d) -1/2 (e) 2 (f) -2 e Which is the biggest value? (a) 5/12 (b) -190573 (c) -1/4 a What is the smallest value in 3/52, 3, -7, -1/2, 0, -0.133? -7 Which is the third biggest value? (a) -26/5 (b) -1253 (c) 0.5 b What is the third biggest value in -0.19, 3.73, 0.1, -2/7, -2/5? -0.19 What is the fourth biggest value in -46/35, -2, -0.1, -1/343? -2 Which is the biggest value? (a) 0.1 (b) 4 (c) -206 (d) -1/4 (e) -19 (f) -5 (g) 9 g Which is the fifth biggest value? (a) -4 (b) -86 (c) -69 (d) 23 (e) -0.6 b Which is the second smallest value? (a) -6/11 (b) 6 (c) 0.19196 c Which is the smallest value? (a) 0.1 (b) -2 (c) -4 (d) 1562499 c What is the third smallest value in -1/3, 452, 0.6, -133, 3/14? 3/14 Which is the third biggest value? (a) 14/9 (b) -43 (c) 11 (d) -1/89 (e) 1/6 e What is the second biggest value in 5, 1, -2018, 0.06, -73? 1 What is the smallest value in 4, -2/7, 0.5, -1/6, -1/3479? -2/7 What is the biggest value in -10, -3, -6/73, 4, 3, -1/46? 4 Which is the seventh smallest value? (a) -4 (b) -3 (c) 1/4 (d) -1.4 (e) 0.4 (f) 2 (g) -124 f Which is the second smallest value? (a) -1 (b) -0.109704 (c) 3/19 (d) 1/6 b Which is the fifth smallest value? (a) 222 (b) -39 (c) -0.3 (d) 2 (e) -11/73 a What is the third smallest value in -137515, -168/19, 1? 1 What is the smallest value in 44, 5414, 5? 5 Which is the second biggest value? (a) 3/64 (b) 0.2 (c) 22/3 (d) 5 (e) 1 d What is the third biggest value in -2, 41496, 0.3, -5, -69? -2 What is the fourth smallest value in -1, 4, 3/427, 3, 450? 4 Which is the second smallest value? (a) 0 (b) 59308849 (c) 2 (d) -0.2 a Which is the third smallest value? (a) 23 (b) 0.5 (c) 2/15 (d) -7/5 (e) 3 (f) 0 c What is the third biggest value in 3/15872, -21, -4, 1.3? -4 Which is the fourth smallest value? (a) 28 (b) -0.1 (c) -5 (d) -2.18 (e) 0.09 e What is the second smallest value in 32, -4, 4, -201.3, 5/4? -4 What is the smallest value in -6.4, -1/22738, -2/3, 10? -6.4 Which is the second biggest value? (a) 0 (b) -10 (c) -5/29 (d) -0.2 (e) 10/19 a What is the smallest value in -0.6, -1/7, 496? -0.6 What is the smallest value in -3/178534, 1, 76? -3/178534 What is the biggest value in -1/9, -1/4, -5, -465, 1/10, 5, -0.2? 5 What is the smallest value in 0.125, -0.1, 23, 29, 0.9? -0.1 Which is the third biggest value? (a) -0.05 (b) 2/7 (c) 6 (d) 0.6 (e) -1 (f) -0.0384 (g) 5 d What is the fourth smallest value in 1.4, 27, 1/5, 1128, -2/5, 1/4, -3? 1/4 What is the third biggest value in 12/5, -11/158, 3, 5, -1/6, -1/3, -4? 12/5 Which is the biggest value? (a) -2 (b) -1/5 (c) 0.307738 c Which is the third biggest value? (a) 17 (b) -5908 (c) -1/11 b Which is the third biggest value? (a) 1/2 (b) 3 (c) 1/29 (d) 0.3 (e) -4 d What is the smallest value in 334, 1.13, 0.092? 0.092 What is the second smallest value in 131.36385, -5/6, 1/4? 1/4 Which is the biggest value? (a) 68 (b) 5 (c) 8105.5 (d) -4 (e) -5 c What is the third smallest value in 1459, -296.78, -4, -5? -4 What is the second smallest value in 0.49, -249, 3, 5, 4, -2/7? -2/7 What is the fifth biggest value in -0.159, 4, -1, 2/13, 0.23, -2/5, -3? -2/5 What is the fourth biggest value in 0.4, 0.3363, -1, 0.24, -0.04? -0.04 What is the fourth smallest value in 0.2, 12/7, 1/2, 126, -1? 12/7 Which is the third smallest value? (a) 0.5 (b) -1120522 (c) -2 a What is the second smallest value in 20149, 14/5, -3? 14/5 What is the fourth biggest value in 224, -2, 0.2, -3/2, 9, -0.03, 0.19? 0.19 What is the third biggest value in 46, -0.1, -5, -0.3, 0.5, 478? 0.5 What is the biggest value in 9, 1/130, 55, 444? 444 Which is the third biggest value? (a) 3 (b) -1 (c) 0.28 (d) -172490 b Which is the second biggest value? (a) 79.034 (b) -1 (c) 7/38 c Which is the fourth biggest value? (a) -4 (b) 6.3 (c) 0.09 (d) -27 (e) -1 (f) 0.01 (g) 0.5 f What is the smallest value in 9, 2/41, 13, 1/6, -2, 72/13? -2 What is the biggest value in 0.26417, 5, 0.5, -12, -11, -2, -0.4? 5 What is the biggest value in -1310, -794, 0? 0 What is the second biggest value in -25, 1858/55, -3? -3 What is the third biggest value in 1, 1.6, -8/409, -1/10, 4? 1 What is the fifth biggest value in 1.3, 0.2, -2/15, 1/7, -145, 6, -0.2? -2/15 What is the fourth smallest value in -2/13, 1/4, -5/59, 3/2, -5/14? 1/4 Which is the biggest value? (a) 5 (b) 1 (c) 29 (d) 2/21 (e) -3 (f) 1.417 c Which is the fourth biggest value? (a) 0.2 (b) -2/11 (c) 4/5 (d) -228/145 d What is the second smallest value in 4, 0.4, 0.5, -21.4, 2.59? 0.4 What is the third biggest value in -48, 256, 4, -3.873, 5? 4 What is the third biggest value in 241/114, 1, -36? -36 What is the fourth smallest value in -160, 1/24, -4, -3/23? 1/24 What is the third smallest value in -313/241143, 0.3, -5? 0.3 What is the fifth smallest value in -143/58, 2/5, -0.4, 2, -1/3, 1, 6/7? 6/7 What is the third biggest value in 64.2, -35, -3/2, 6, 36, 0.2? 6 Which is the third biggest value? (a) 0.274023 (b) 45 (c) -2 c What is the third smallest value in -1/5, 2/19, 86, 6, 2, -31/4, -1/2? -1/5 What is the fourth smallest value in 10, -2/9, 15, -4414, 4/3? 10 What is the biggest value in 4, -0.882, -72, 0.13, -2/19? 4 What is the smallest value in 16, 884, -177/8, 0.1? -177/8 What is the second biggest value in -137, 10614, -2? -2 Which is the second biggest value? (a) -12.23884 (b) 3/5 (c) 3 (d) -2 (e) -0.2 b Which is the third smallest value? (a) -0.02 (b) 20.76 (c) -6 (d) -0.6 (e) 2/5 a What is the third smallest value in -1.3, 0.8, 6, 102.3? 6 Which is the smallest value? (a) -233663 (b) -12 (c) 0.3 (d) -1/5 a What is the fourth smallest value in -2253, -4, 97, 0.2? 97 Which is the second smallest value? (a) 4/27 (b) 141984 (c) 1 c What is the smallest value in 5, -9, -5/6, 1/8, 0.44, 2, -5/2? -9 What is the smallest value in 11, 0, -136934? -136934 What is the smallest value in -4/9, 6, 267563? -4/9 Which is the second biggest value? (a) -1/6 (b) 2/9 (c) -2/5 (d) -1 (e) -14 (f) 0.2 (g) -1/2 f Which is the second biggest value? (a) 5367 (b) -7.473 (c) 5/4 c Which is the third smallest value? (a) 0.021 (b) 547 (c) 3044 c What is the biggest value in -3, 0, -0.4, 1.36831? 1.36831 What is the second biggest value in -608/13, -8, 1/46? -8 Which is the second biggest value? (a) 1/57 (b) 4 (c) -1/6 (d) -1/4 (e) 10 (f) -0.099 b Which is the fifth smallest value? (a) -0.4 (b) 14/71 (c) -1/15 (d) -3.3 (e) -0.5 b Which is the fifth smallest value? (a) 2/13 (b) 0.027 (c) 0.5 (d) 3/5 (e) 0.4 (f) 0.07 c What is the biggest value in -1/268, 4, -5, -1/19, -4? 4 What is the second smallest value in -3.86, 1/8, -1/11148? -1/11148 Which is the second biggest value? (a) -1 (b) 0.3 (c) -2041633 a Which is the fifth smallest value? (a) 0.05036 (b) 0 (c) -0.03 (d) -2/491 (e) 3/5 e What is the third smallest value in 5, -3, -27106/7, 1, -0.1, 0.1? -0.1 What is the second biggest value in -1/8, -1054, -20/9, -4, -0.07? -1/8 Which is the biggest value? (a) -1 (b) -0.05 (c) -3/5 (d) 0 (e) 637 (f) 3.292 e What is the biggest value in 4, -801, 27247? 27247 What is the third biggest value in 51, 0.5, -0.04, -241/47? -0.04 What is the biggest value in 1, 1318, 700? 1318 What is the fifth smallest value in 2, -254, 0.27, -0.0443, -3/5? 2 Which is the sixth biggest value? (a) -1/5 (b) 1/8 (c) 1/2 (d) -2/3 (e) -13218 (f) 10 e Which is
{ "pile_set_name": "DM Mathematics" }
hat is 685 minutes after 7:24 PM? 6:49 AM What is 353 minutes after 9:20 PM? 3:13 AM How many minutes are there between 9:38 PM and 1:38 AM? 240 How many minutes are there between 4:51 AM and 10:58 AM? 367 How many minutes are there between 11:32 AM and 2:17 PM? 165 What is 618 minutes before 1:17 PM? 2:59 AM How many minutes are there between 5:49 PM and 8:53 PM? 184 How many minutes are there between 2:22 PM and 6:33 PM? 251 How many minutes are there between 3:04 AM and 6:10 AM? 186 How many minutes are there between 12:07 PM and 10:34 PM? 627 What is 526 minutes after 10:00 AM? 6:46 PM How many minutes are there between 10:44 AM and 4:06 PM? 322 What is 14 minutes before 3:40 PM? 3:26 PM How many minutes are there between 4:40 PM and 10:04 PM? 324 What is 628 minutes before 6:41 PM? 8:13 AM How many minutes are there between 11:18 AM and 9:15 PM? 597 What is 238 minutes before 9:32 AM? 5:34 AM What is 283 minutes before 1:17 AM? 8:34 PM What is 12 minutes after 9:52 AM? 10:04 AM How many minutes are there between 7:26 PM and 1:10 AM? 344 How many minutes are there between 7:36 PM and 6:00 AM? 624 What is 246 minutes before 4:51 PM? 12:45 PM What is 98 minutes before 12:27 AM? 10:49 PM What is 286 minutes after 12:45 PM? 5:31 PM How many minutes are there between 5:20 PM and 12:14 AM? 414 How many minutes are there between 5:31 PM and 12:05 AM? 394 How many minutes are there between 1:03 AM and 3:31 AM? 148 How many minutes are there between 1:58 AM and 9:26 AM? 448 What is 419 minutes after 5:53 PM? 12:52 AM What is 291 minutes before 9:23 AM? 4:32 AM How many minutes are there between 12:46 AM and 11:32 AM? 646 What is 373 minutes before 6:33 PM? 12:20 PM What is 62 minutes after 3:19 PM? 4:21 PM How many minutes are there between 3:49 PM and 4:52 PM? 63 What is 50 minutes before 6:28 AM? 5:38 AM How many minutes are there between 11:19 AM and 4:46 PM? 327 What is 525 minutes after 2:49 AM? 11:34 AM What is 59 minutes before 7:23 AM? 6:24 AM What is 300 minutes before 2:43 PM? 9:43 AM What is 303 minutes after 9:20 AM? 2:23 PM What is 705 minutes after 7:57 AM? 7:42 PM What is 572 minutes before 10:54 PM? 1:22 PM What is 430 minutes before 10:21 PM? 3:11 PM What is 454 minutes before 10:16 AM? 2:42 AM How many minutes are there between 7:19 PM and 9:44 PM? 145 What is 292 minutes before 11:27 PM? 6:35 PM How many minutes are there between 11:05 AM and 5:30 PM? 385 How many minutes are there between 9:33 PM and 6:46 AM? 553 How many minutes are there between 8:03 PM and 10:20 PM? 137 What is 401 minutes before 6:51 AM? 12:10 AM What is 295 minutes before 4:04 PM? 11:09 AM What is 172 minutes after 6:57 PM? 9:49 PM What is 203 minutes after 9:39 AM? 1:02 PM What is 253 minutes before 6:27 PM? 2:14 PM What is 35 minutes after 8:47 PM? 9:22 PM How many minutes are there between 7:14 PM and 3:02 AM? 468 How many minutes are there between 7:16 AM and 6:26 PM? 670 How many minutes are there between 3:33 AM and 1:43 PM? 610 How many minutes are there between 12:21 PM and 3:14 PM? 173 How many minutes are there between 10:54 PM and 7:44 AM? 530 How many minutes are there between 4:56 PM and 10:11 PM? 315 How many minutes are there between 9:11 PM and 6:01 AM? 530 What is 468 minutes before 2:11 PM? 6:23 AM What is 173 minutes before 1:49 AM? 10:56 PM How many minutes are there between 1:39 AM and 3:45 AM? 126 How many minutes are there between 12:41 AM and 7:50 AM? 429 What is 244 minutes before 8:25 AM? 4:21 AM What is 126 minutes before 3:15 PM? 1:09 PM What is 677 minutes before 9:53 AM? 10:36 PM How many minutes are there between 11:57 PM and 7:00 AM? 423 What is 25 minutes after 9:34 PM? 9:59 PM What is 145 minutes before 6:17 AM? 3:52 AM What is 503 minutes after 4:57 PM? 1:20 AM What is 572 minutes after 11:13 AM? 8:45 PM How many minutes are there between 2:34 AM and 11:26 AM? 532 How many minutes are there between 12:26 AM and 12:37 AM? 11 How many minutes are there between 2:45 AM and 11:43 AM? 538 What is 120 minutes before 6:19 AM? 4:19 AM How many minutes are there between 2:41 AM and 5:36 AM? 175 How many minutes are there between 11:10 AM and 10:17 PM? 667 What is 463 minutes after 12:54 AM? 8:37 AM What is 628 minutes after 6:44 AM? 5:12 PM How many minutes are there between 12:46 AM and 7:36 AM? 410 What is 240 minutes before 6:43 PM? 2:43 PM What is 101 minutes after 9:06 AM? 10:47 AM How many minutes are there between 11:00 AM and 5:07 PM? 367 What is 616 minutes before 10:45 PM? 12:29 PM What is 588 minutes before 6:21 PM? 8:33 AM How many minutes are there between 1:11 PM and 11:22 PM? 611 What is 609 minutes before 11:05 PM? 12:56 PM What is 172 minutes after 6:09 AM? 9:01 AM How many minutes are there between 11:01 AM and 2:16 PM? 195 What is 35 minutes before 3:50 PM? 3:15 PM What is 493 minutes after 9:54 PM? 6:07 AM How many minutes are there between 4:56 PM and 8:01 PM? 185 What is 667 minutes after 7:48 AM? 6:55 PM What is 40 minutes before 8:12 AM? 7:32 AM What is 652 minutes after 10:02 PM? 8:54 AM How many minutes are there between 9:15 PM and 7:49 AM? 634 How many minutes are there between 1:24 AM and 12:33 PM? 669 What is 589 minutes before 11:37 PM? 1:48 PM How many minutes are there between 12:18 AM and 11:30 AM? 672 What is 274 minutes after 7:11 AM? 11:45 AM How many minutes are there between 12:39 AM and 7:27 AM? 408 How many minutes are there between 8:13 AM and 1:44 PM? 331 How many minutes are there between 11:07 PM and 4:49 AM? 342 What is 719 minutes after 11:05 PM? 11:04 AM How many minutes are there between 9:47 AM and 5:39 PM? 472 How many minutes are there between 5:34 PM and 2:14 AM? 520 How many minutes are there between 1:58 PM and 2:33 PM? 35 How many minutes are there between 12:29 AM and 7:57 AM? 448 How many minutes are there between 4:35 PM and 6:35 PM? 120 What is 675 minutes after 4:21 PM? 3:36 AM What is 142 minutes before 2:29 PM? 12:07 PM How many minutes are there between 9:59 PM and 3:22 AM? 323 How many minutes are there between 7:21 AM and 5:52 PM? 631 How many minutes are there between 6:37 PM and 1:35 AM? 418 How many minutes are there between 2:47 AM and 3:41 AM? 54 What is 652 minutes before 12:00 PM? 1:08 AM How many minutes are there between 2:53 PM and 9:39 PM? 406 How many minutes are there between 9:33 AM and 4:52 PM? 439 How many minutes are there between 11:11 AM and 8:47 PM? 576 What is 344 minutes after 3:31 AM? 9:15 AM What is 323 minutes after 4:53 PM? 10:16 PM What is 482 minutes after 11:21 AM? 7:23 PM How many minutes are there between 9:32 PM and 4:13 AM? 401 What is 254 minutes after 12:09 AM? 4:23 AM How many minutes are there between 1:06 AM and 11:26 AM? 620 What is 77 minutes after 5:54 AM? 7:11 AM How many minutes are there between 11:07 AM and 4:38 PM? 331 How many minutes are there between 12:05 AM and 3:06 AM? 181 How many minutes are there between 3:02 AM and 5:17 AM? 135 How many minutes are there between 7:58 AM and 2:58 PM? 420 What is 406 minutes before 6:42 PM? 11:56 AM How many minutes are there between 6:07 AM and 7:38 AM? 91 What is 591 minutes after 12:43 AM? 10:34 AM How many minutes are there between 4:34 PM and 1:08 AM? 514 What is 148 minutes after 6:13 AM? 8:41 AM What is 121 minutes after 7:59 AM? 10:00 AM What is 708 minutes after 8:26 PM? 8:14 AM How many minutes are there between 1:35 AM and 10:52 AM? 557 What is 581 minutes after 8:01 AM? 5:42 PM How many minutes are there between 6:10 AM and 3:17 PM? 547 How many minutes are there between 8:50 PM and 8:56 PM? 6 How many minutes are there between 3:25 PM and 10:33 PM? 428 How many minutes are there between 10:54 AM and 12:24 PM? 90 What is 627 minutes before 5:54 PM? 7:27 AM How many minutes are there between 4:59 PM and 11:33 PM? 394 How many minutes are there between 2:17 PM and 4:57 PM? 160 How many minutes are there between 4:58 PM and 3:18 AM? 620 What is 103 minutes before 3:24 AM? 1:41 AM How many minutes are there between 5:22 PM and 7:04 PM? 102 How many minutes are there between 7:28 PM and 12:02 AM? 274 How many minutes are there between 9:46 PM and 5:33 AM? 467 What is 481 minutes before 4:50 AM? 8:49 PM What is 439 minutes before 9:35 PM? 2:16 PM How many minutes are th
{ "pile_set_name": "DM Mathematics" }
p - 49 = -l. Let g = r - l. What is the nearest to 0 in g, -0.1, -0.3? -0.1 Let l = -32 + 31.9. What is the closest to l in 6, -1/2, 3/4? -1/2 Let z be (-3 + 0)*2/6. Suppose -4*x + 17 - 57 = 0. Let b be ((-2)/(-3))/(x/(-6)). What is the nearest to b in 1/5, z, 2? 1/5 Let u = -0.85 - -0.05. Let f = -0.2 + u. Which is the closest to 2? (a) f (b) -4 (c) -2 a Let s = -0.02 - 0.48. What is the nearest to 1 in 2/9, s, 2/11? 2/9 Let h be 19/3*(-9)/(-132). Let s = h - 2/11. What is the closest to s in -2/5, -1, 2? -2/5 Suppose -19 = -4*r + 5. Let k be (3/(-81))/((-2)/r). What is the closest to -1 in -0.1, -1, k? -1 Let d = -7 - -4. Let t = d + 6. Let x = t + -2.5. Which is the nearest to 0? (a) -1/7 (b) x (c) 0.1 c Let d = 3.3 - 0.3. Let c = 2.7 - d. Let o = 136 + -955/7. What is the nearest to 0.1 in o, c, -1? c Let n = -13.89 - -14. Let i = 0.01 - n. Let h = 6 + -1. What is the nearest to i in h, 0.5, 3? 0.5 Let s = -0.9 + 0.78. Let m = -0.08 + s. What is the closest to -1 in m, 0.3, -0.5? -0.5 Suppose -4*f = 3*b + 25, 2*f + 5*b + 11 = 3*f. What is the closest to -1 in f, 3/5, 0? 0 Let n = 91 + -96. What is the nearest to 0 in 0.3, n, -0.2? -0.2 Let a = 3 - 2.9. Let l = -16 - -9.6. Let z = l - -6. What is the nearest to 0 in z, 0, a? 0 Let f = -5 - 0. Let k = -3 + 3.5. Let w = 0.012 + -0.112. Which is the nearest to w? (a) k (b) f (c) 5 a Let i = -13 + 8. Let g = -56/81 - -2/81. What is the nearest to g in 1/10, 2/3, i? 1/10 Let h be 6/(-4) - (-7)/((-224)/(-40)). Let r be 2 + -1 + 2/(-1). What is the closest to r in 3/5, -2, h? h Suppose -2*i = -5*i + 5*d + 16, 3*i + 34 = -5*d. Let g = 0.028 + 0.472. What is the nearest to 1/5 in g, i, -4/9? g Let m = -145 + 144. Let d = 1 - 0. Let x = 145/273 + -4/39. What is the nearest to d in x, m, -2/3? x Suppose 3*d + 0*g - 3 = -g, 2*g = 5*d - 16. Let v be (-2)/3 - d/(-4). Which is the closest to v? (a) -0.4 (b) 1 (c) 2/7 a Suppose 4 = -4*t - 0. Let y = 165 + -165. Which is the closest to t? (a) -4 (b) -3 (c) y c Let y = 35.4 + -39.34. Let q = y + -0.06. Which is the closest to -0.1? (a) 2 (b) q (c) 0.2 c Let h be (-2 - 9/(-5))*-2. Let i = 66 - 193/3. Let x = 180.5 + -181. What is the nearest to h in x, 2, i? x Let k = -0.1 - -0.1. Let v = -24 - -15. Let p be (v/12)/((-54)/16). What is the closest to k in -5, p, -2/3? p Let t be (11982/(-18))/((-8)/3). Let l = -250 + t. Which is the nearest to -1? (a) -2 (b) 2 (c) l c Let y = 14 + -15. Which is the closest to -1/3? (a) y (b) -3 (c) 0.2 c Let v = 33 - 38. Let b = -0.2 + 0.1. Suppose 30 = 5*l + 5. What is the nearest to b in v, l, 4? 4 Let t = -8.7 - -10.7. What is the nearest to 1/4 in -2/7, -1/67, t? -1/67 Let w = -3/44 - 2/11. Let p = -23 - -23.3. Which is the nearest to w? (a) p (b) 2 (c) -0.5 c Let f be (16/24)/((-8)/(-18)). Which is the closest to 3? (a) 1 (b) f (c) 0.4 b Let k = 4 + -5. Let f = -1.6 - -1.8. Which is the nearest to 0.1? (a) f (b) -1/10 (c) k a Suppose 10*m = 5*m + 25. Let j = 18.25 + -0.25. Let z = j + -16. Which is the closest to z? (a) -3/2 (b) -4/3 (c) m c Suppose 0 = -2*y + 2*s, -y - 1 = -3*y + s. What is the closest to y in 14, -2/9, 0.5? 0.5 Let m = 0.5 - -1.5. Let t = 2 - m. Let d be ((-15)/17 - -1)*-1. What is the closest to t in 0.4, d, -4? d Let r(b) = -b**3 + 3. Let d be r(0). Let w be (d - 2)/(8/(-3)). Let f = 0.4 + -0.3. What is the nearest to f in 1, w, -2/13? -2/13 Suppose -4*r + r = -15. Which is the closest to 3? (a) r (b) -0.1 (c) 0 a Let x be 11/3 - (-6)/(-9). What is the nearest to -1 in -1/4, x, -1/2? -1/2 Let b be (36/(-64))/(3/(-4)). What is the nearest to 2 in b, 2, -2? 2 Let y = -3 - -2. Let b = -11/26 - 1/13. Let q = 1 + b. What is the nearest to y in 3, q, -0.3? -0.3 Let x = -2.9 - -3.3. Let i = -0.1 + 0. Let s = i - x. Which is the closest to 0.1? (a) 0 (b) s (c) 2/9 a Let b = -3.54 + -1.16. Let m = -0.3 + b. Let z = m + 8. What is the closest to 1 in z, 4, -3/4? -3/4 Let i = -0.03 - -0.03. Which is the closest to 6? (a) i (b) -4 (c) 4 c Let n = 0.31 + 0.19. What is the closest to 1 in n, -0.3, -1? n Let v = 5 + -4.6. Let f = 3.9 + 1.1. Let m = 4 - f. Which is the closest to m? (a) 0.5 (b) -3 (c) v c Let f be (-3)/(-2) - (-108)/(-56). Let h be -2 + 1 + (-8)/(-10). Which is the closest to 0.1? (a) h (b) -3 (c) f a Let f be 1/(((-195)/(-6))/(-5)). Let h be 10/40*8/3. What is the closest to 0 in h, -2, f? f Let i = 1/16 - -61/48. What is the nearest to 0 in -1/4, -3/2, i? -1/4 Let r(u) = -u**3 + 7*u**2 + 9*u - 7. Let x be r(8). Let n = 0 + -0.1. Let l = 2 + 2. Which is the closest to n? (a) x (b) l (c) -3 a Let n be (-4)/2*(-3)/(-6). Let d(l) = -l - 8. Let u be d(-4). Which is the closest to 1? (a) u (b) n (c) 0.4 c Let f = 7.97 - 8. Let h = 58 + -58.23. Let z = f - h. Which is the closest to z? (a) -2/15 (b) -1/6 (c) -0.3 a Let d = -0.3 + 0.4. Let z be ((-19)/(-57))/(-2 - (-146)/72). Which is the closest to z? (a) d (b) 2 (c) 1 b Let q = -6 - -4. Let a = q - -2.5. What is the nearest to -1 in a, -3, 3? a Let n(l) be the third derivative of 0*l + 2*l**2 + 1/24*l**4 - 2/3*l**3 + 0. Let v be n(6). Which is the nearest to 0.1? (a) 3 (b) 2/9 (c) v b Let u = 13 + -20. Let s = 5 + u. Let w be s + 4 + 18/(-7). What is the closest to -1 in w, -4, 0? w Let o = 3 - 5. Let f = 12 - 7. What is the nearest to -3 in f, o, -0.4? o Let h be (-160)/600 + 4/10. Which is the closest to 0.2? (a) h (b) -0.2 (c) 5 a Let i be (3 - 0 - -66) + -1. What is the closest to 0.1 in i, -0.3, 3? -0.3 Let s = -0.85 + -0.7. Let z = s + 1.6. Which is the nearest to z? (a) 4 (b) -2 (c) 2 c Let n = 173/5 + -34. Let y = -23 + 27. Which is the nearest to 1? (a) y (b) n (c) -3 b Let h be (-2)/(-4)*6/(-9). Let w be 2 + -2 - (-4)/18. What is the closest to -0.1 in h, -3, w? h Let x = -16 + 9. Let m = -6.7 - x. Which is the nearest to 0? (a) 3 (b) -2/7 (c) m b Let s be 1/4 - (0 - 0). Let h = 17 + -10. Let b = 6.5 - h. What is the nearest to 1/4 in b, 0, s? s Let p = -60/11 - -491/88. Let f = -3 + 18. Let j = f - 14.9. What is the nearest to j in p, -0.4, -4/7? p Let v = -131 + 131.2. Which is the nearest to 1/2? (a) -1/13 (b) v (c) 0.1 b Let g = 10.4 + -0.4. Let u = g - 9.6. Which is the nearest to 1? (a) u (b) 0.5 (c) 1 c Let w = 2 - 0. Which is the closest to w? (a) 2 (b) -3 (c) -0.2 a Let r = -4 + 3.5. Let p be 20/16 + -1 - 1. Which is the nearest to 0? (a) r (b) p (c) 4 a Let s = -15 - -14.86. Let g = 0.06 - s. Which is the nearest to g? (a) 2/3 (b) 2/13 (c) -2 b Let t = 2 - 2.1. Suppose f = 2, 4*g - 2*f + 7 = -17. Let u = -6 - g. Which is the nearest to t? (a) u (b) 0.3 (c) -2 b Let t = -0.76 + -0.14. What is the closest to -2/3 in t, 5, 0.4? t Let l = 3/19 + 7/76. What is the nearest to -0.2 in 0.3, 0, l? 0 Let g = -3.2 - 0.8. Let h = g + 5. Let l = 0 + 3. Which is the closest to h? (a) -0.5 (b) -5 (c) l a Let s = -224/5 + 45. Let w = 4 + -7. Let m = 7 + w. What is the nearest to 2/7 in 2/5, m, s? s Let f(m) = -m**3 - 15*m**2 - m - 15. Let z be f(-15). What is the nearest to z in -0.2, 1/6, -5? 1/6 Let q be 667/207 + 3/((-2)/2). Which is the closest to -1? (a) -0.3 (b) -2/9 (c) q a Let j = 1 + -1/2. Let g = -1.96 - 0.04. Let d = -4 + 3.5. Which is the nearest to j? (a) g (b) d (c) 1 c Let q = 10 - 20. Let p = -47/5 - q. Which is the closest to 0? (a) -5 (b) -4 (c) p c Let l = -0.3 + 1.6. Let k = l + -1.27. What is the closest to 2/3 in 1, 2/3, k? 2/3 Let a = 81 - 65. What is the nearest to 1/2 in 0.5, 0, a? 0.5 Let k = 16 - 16.5. Which is the nearest to -0.4? (a) 1/5 (b) k (c) 0.3 b Let f = -50 + 51. What is the nearest to f in -2/7, 0.2, -4? 0.2 Let w(z) = z**2 + 7*z + 2. Let f be w(-4). Suppose -7*n - 8 = -3*n. Let q be (4/f)/(0 - n). Which is the closest to 1/2? (a) q (b) 1/8 (c) -3/4 b Let z = -5/2 + 71/30. What is the nearest to z in -0.4, -0.2, -4? -0.2 Let s = -31 - -31.8. What is the nearest to -0.1 in -4, s, 1? s Let i = 414.16 - 398. Let j = i + -20.1. Let k = -0.06 + j. Which is the nearest to 0? (a) 0.3 (b) -0.2 (c) k b Let h = 2/23 - -40/69. What is the nearest to h in -0.5, 3/4, 1/3? 3/4 Let b = 6.2 + -6.3. What is the closest to b in -0.2, 0.2, 3/5? -0.2 Let r be (-1 - 0) + (-10)/(-14). Suppose 16*k = 15 - 15. Let q
{ "pile_set_name": "DM Mathematics" }
57, 6242, 9451, 12684, 15941, 19222? 12*d**2 + 3149*d - 104 What is the h'th term of 322499, 1289977, 2902443, 5159897, 8062339? 322494*h**2 - 4*h + 9 What is the f'th term of 91374241, 91374243, 91374245, 91374247? 2*f + 91374239 What is the w'th term of -20449873, -20449871, -20449869, -20449867? 2*w - 20449875 What is the z'th term of 2346, 5962, 11990, 20430, 31282? 1206*z**2 - 2*z + 1142 What is the k'th term of 282257, 564505, 846753, 1129001, 1411249? 282248*k + 9 What is the k'th term of -4828, -18741, -41794, -73987, -115320? -4570*k**2 - 203*k - 55 What is the f'th term of 306680, 613503, 920474, 1227593, 1534860, 1842275? 74*f**2 + 306601*f + 5 What is the r'th term of 149170, 150617, 152062, 153505, 154946, 156385, 157822? -r**2 + 1450*r + 147721 What is the p'th term of 3256, 11859, 20462, 29065, 37668, 46271? 8603*p - 5347 What is the w'th term of -72784, -71871, -70336, -68173, -65376? w**3 + 305*w**2 - 9*w - 73081 What is the l'th term of 6437722, 12875443, 19313164, 25750885, 32188606, 38626327? 6437721*l + 1 What is the g'th term of -64538, -64363, -63864, -62879, -61246, -58803? 27*g**3 - 14*g - 64551 What is the a'th term of 1554792, 3109575, 4664356, 6219135, 7773912, 9328687? -a**2 + 1554786*a + 7 What is the x'th term of 198097, 396335, 594573, 792811, 991049? 198238*x - 141 What is the u'th term of -4656, -4821, -4982, -5139, -5292, -5441, -5586? 2*u**2 - 171*u - 4487 What is the h'th term of -13718100, -27436183, -41154260, -54872331, -68590396, -82308455? 3*h**2 - 13718092*h - 11 What is the x'th term of 7799, 14559, 21317, 28073, 34827, 41579, 48329? -x**2 + 6763*x + 1037 What is the g'th term of -98661, -98681, -98721, -98787, -98885, -99021, -99201? -g**3 - 4*g**2 - g - 98655 What is the x'th term of -51052449, -102104894, -153157339, -204209784, -255262229, -306314674? -51052445*x - 4 What is the y'th term of -2989, -10206, -21599, -37168, -56913, -80834, -108931? -2088*y**2 - 953*y + 52 What is the l'th term of -14607, -17739, -26237, -42783, -70059, -110747, -167529, -243087? -447*l**3 - l**2 - 14159 What is the t'th term of 6821, 2349, -2117, -6571, -11007? t**3 - 3*t**2 - 4470*t + 11293 What is the r'th term of 90128, 180283, 270440, 360599, 450760, 540923? r**2 + 90152*r - 25 What is the v'th term of 2592, 6401, 10210, 14019, 17828? 3809*v - 1217 What is the l'th term of -92, -582, -1930, -4574, -8952, -15502, -24662? -73*l**3 + 9*l**2 - 6*l - 22 What is the g'th term of -6262240, -6262259, -6262290, -6262333, -6262388? -6*g**2 - g - 6262233 What is the d'th term of -7268, -7366, -7546, -7826, -8224, -8758? -3*d**3 - 23*d**2 - 8*d - 7234 What is the w'th term of 789053, 1578125, 2367211, 3156317, 3945449, 4734613? w**3 + w**2 + 789062*w - 11 What is the q'th term of -2413, -19400, -65501, -155272, -303269? -2426*q**3 - q**2 - 2*q + 16 What is the p'th term of -2978, -3098, -3188, -3242, -3254, -3218, -3128, -2978? p**3 + 9*p**2 - 154*p - 2834 What is the o'th term of 4256735, 4256880, 4257025? 145*o + 4256590 What is the a'th term of 582385, 1164785, 1747201, 2329639, 2912105? a**3 + 2*a**2 + 582387*a - 5 What is the t'th term of 10345, 18337, 26333, 34333, 42337? 2*t**2 + 7986*t + 2357 What is the m'th term of -808, -2270, -4696, -8080, -12416, -17698? m**3 - 488*m**2 - 5*m - 316 What is the d'th term of -5080, -20452, -46078, -81964, -128116, -184540, -251242, -328228? -d**3 - 5121*d**2 - 2*d + 44 What is the q'th term of -811815, -1623634, -2435455, -3247278, -4059103, -4870930, -5682759? -q**2 - 811816*q + 2 What is the u'th term of 372477, 1490566, 3354059, 5962962, 9317281, 13417022, 18262191? u**3 + 372696*u**2 - 6*u - 214 What is the t'th term of -3270, -8601, -15992, -25443, -36954? -1030*t**2 - 2241*t + 1 What is the s'th term of -18093, -18296, -18499, -18702? -203*s - 17890 What is the h'th term of 112205, 112197, 112183, 112163, 112137, 112105, 112067? -3*h**2 + h + 112207 What is the w'th term of 2752, 2311, 1874, 1441, 1012? 2*w**2 - 447*w + 3197 What is the o'th term of 24311096, 24311093, 24311090, 24311087, 24311084, 24311081? -3*o + 24311099 What is the k'th term of 7934, 7665, 7430, 7247, 7134? 3*k**3 - k**2 - 287*k + 8219 What is the h'th term of -3466, -14080, -31764, -56518, -88342, -127236? -3535*h**2 - 9*h + 78 What is the i'th term of 99590, 99628, 99666, 99704, 99742? 38*i + 99552 What is the j'th term of -40, 1499, 5764, 14147, 28040, 48835, 77924, 116699? 232*j**3 - 29*j**2 + 2*j - 245 What is the w'th term of -40742, -81540, -122338, -163136, -203934, -244732? -40798*w + 56 What is the c'th term of 17218, 17199, 17180? -19*c + 17237 What is the l'th term of 24613, 98669, 222123, 394981, 617249, 888933, 1210039? l**3 + 24693*l**2 - 30*l - 51 What is the n'th term of -280662, -561383, -842104? -280721*n + 59 What is the z'th term of 423055, 425587, 428119? 2532*z + 420523 What is the v'th term of -76995, -76107, -75219, -74331, -73443, -72555? 888*v - 77883 What is the z'th term of 40940, 39958, 37294, 32108, 23560, 10810, -6982? -140*z**3 - z**2 + z + 41080 What is the p'th term of -53, 178, 715, 1582, 2803? 4*p**3 + 129*p**2 - 184*p - 2 What is the o'th term of -6946377, -6946369, -6946355, -6946335, -6946309? 3*o**2 - o - 6946379 What is the u'th term of -72458469, -72458473, -72458479, -72458487? -u**2 - u - 72458467 What is the z'th term of -43724, -87590, -131456, -175322, -219188? -43866*z + 142 What is the k'th term of 925907, 925891, 925871, 925847, 925819, 925787? -2*k**2 - 10*k + 925919 What is the m'th term of 25602, 102499, 230656, 410079, 640774, 922747? m**3 + 25624*m**2 + 18*m - 41 What is the w'th term of 8080888, 16161781, 24242674, 32323567, 40404460? 8080893*w - 5 What is the u'th term of -1673, -1775, -1967, -2249, -2621, -3083? -45*u**2 + 33*u - 1661 What is the u'th term of -93244910, -93244909, -93244908, -93244907, -93244906? u - 93244911 What is the b'th term of -6813, -6887, -7091, -7491, -8153? -11*b**3 + b**2 - 6803 What is the c'th term of 1070398, 2140804, 3211210? 1070406*c - 8 What is the d'th term of 19624, 19489, 19266, 18955, 18556? -44*d**2 - 3*d + 19671 What is the p'th term of 51991, 97470, 142945, 188416, 233883? -2*p**2 + 45485*p + 6508 What is the k'th term of -3623, -7186, -13125, -21440, -32131, -45198, -60641? -1188*k**2 + k - 2436 What is the a'th term of 3408, 6703, 9890, 12981, 15988, 18923? 2*a**3 - 66*a**2 + 3479*a - 7 What is the s'th term of 17044706, 68178809, 153402314, 272715221? 17044701*s**2 + 5 What is the t'th term of 219, -2, -543, -1560, -3209, -5646? -26*t**3 - 4*t**2 - 27*t + 276 What is the m'th term of 38603934, 38603932, 38603930, 38603928, 38603926? -2*m + 38603936 What is the k'th term of -2362325, -2362322, -2362317, -2362310? k**2 - 2362326 What is the u'th term of -1006225, -1006210, -1006195, -1006180, -1006165? 15*u - 1006240 What is the u'th term of -1784314, -1784305, -1784296? 9*u - 1784323 What is the z'th term of 1500597, 3001630, 4502663, 6003696? 1501033*z - 436 What is the r'th term of -9944, -19436, -28926, -38414? r**2 - 9495*r - 450 What is the f'th term of 2101, 4154, 6097, 7876, 9437, 10726, 11689, 12272? -9*f**3 - f**2 + 2119*f - 8 What is the n'th term of -10767, -21858, -33291, -45066, -57183, -69642, -82443? -171*n**2 - 10578*n - 18 What is the k'th term of 8203, 60939, 204079, 482827, 942387, 1627963? 7534*k**3 - 2*k**2 + 4*k + 667 What is the l'th term of -1630, -1585, -1446, -1159, -670? 9*l**3 - 7*l**2 + 3*l - 1635 What is the f'th term of 8528, 9152, 9814, 10532, 11324, 12208, 13202, 14324? 3*f**3 + f**2 + 600*f + 7924 What is the y'th term of 1266, 5109, 11494, 20403, 31818, 45721, 62094, 80919? -3*y**3 + 1289*y**2 - 3*y - 17 What is the c'th term of 3019798, 12079388, 27178706, 48317752, 75496526, 108715028? 3019864*c**2 - 2*c - 64 What is the p'th term of -349237176, -698474355, -1047711538, -1396948725? -2*p**2 - 349237173*p - 1 What is the q'th term of -9087, -1864, 5355, 12570, 19781? -2*q**2 + 7229*q - 16314 What is the x'th term of -798534, -798479, -798330, -798039, -797558, -796839? 8*x**3 - x**2 + 2*x - 798543 What is the i'th term of -1436, -8126, -19286, -34922, -55040, -79646, -108746? -i**3 - 2229*i**2 + 4*i + 790 What is the f'th term of 231342785, 462685571, 69402835
{ "pile_set_name": "DM Mathematics" }
give p. -2 Rearrange 0*f**3 - 2*f - 189*f**4 + 137*f**4 - 7 + 0*f**3 - f**3 to the form t*f + k + b*f**4 + u*f**2 + z*f**3 and give t. -2 Express -4*o - 2*o**4 + 6*o - 54*o**2 + 44*o**2 + 3*o as n*o**2 + d*o**3 + s + q*o**4 + f*o and give n. -10 Rearrange 262*g**2 - 4*g + 4*g - 475*g**2 to the form i + d*g**2 + n*g and give d. -213 Express 2*r - 4*r + 1 - 2*r + r**2 - 27*r**2 + 2*r in the form h*r**2 + f*r + p and give f. -2 Express 350 + 7*z - 367 + 0*z as u*z + f and give f. -17 Rearrange (1 - 6 + 6)*((2 - 4*g - 2)*(2 - 1 + 0) - 3*g - 3*g + 4*g + (5*g - 3*g - 6*g)*(2 - 2 - 1)) to b*g + k and give b. -2 Express (-2*y + 4*y - 3*y)*(-1 + 2 - 2) + 12*y - 5*y + 18*y + (-5 - 2 + 5)*(0*y + 0*y + y) + 4*y - 2*y + y in the form u + f*y and give f. 27 Rearrange ((-c**2 + 4*c**2 - 4*c**2)*(0 + 0 + 2) + 3*c**2 + 3*c**2 - 3*c**2)*(3 - c - 3)*(5 - 7 + 7) to the form k + q*c**2 + v*c**3 + p*c and give p. 0 Express 85*z - 27*z - 601*z in the form r + q*z and give q. -543 Rearrange 2 - 23*f + 17*f + 3*f + 36*f to the form u + o*f and give u. 2 Rearrange (-656*v + 2*v**2 - 60758 - v**2 + 60757)*(0*v + 3*v - v) to the form b*v**3 + t*v**2 + x + a*v and give b. 2 Express 10*k**2 + 927*k**3 - 925*k**3 + 106*k**2 as j*k + x*k**2 + b*k**3 + n and give x. 116 Express -l**2 - 10*l**3 - 2 + 0 - 3*l**2 + 6*l**2 in the form d + r*l + b*l**2 + o*l**3 and give b. 2 Rearrange ((2*q + 1 - 1)*(4*q - 2*q - 4*q) - 3*q**2 + 6*q - 6*q)*(523 - 123*q**2 - 523) to the form r*q**2 + k*q**3 + m*q + z*q**4 + v and give z. 861 Rearrange ((-1 - 4 + 7)*(-8 - 15 + 24) - 3 - 6 + 2)*(4*c**3 - 3*c**3 + 2*c**3)*(-4 - 1 + c + 4) to the form h*c**4 + q*c**3 + y + w*c**2 + o*c and give q. 15 Rearrange (-2*j**2 + 0*j**2 + 4*j**2)*(-3 + 2 + 2)*(1 + 1 + 0)*(3 - 3 + 2) to the form q*j + c*j**2 + i and give c. 8 Express i + 56*i - 9*i + (4*i - 4*i + 2*i)*(1 - 4 + 1) + (-1 + 2*i + 1)*(1 - 4 + 5) in the form r*i + y and give r. 48 Express (-w - w + 0*w)*(0*w + 2*w - 4*w + (2 - 1 + 0)*(-4*w + 2*w + 3*w) + 4577 - 4577 + 700*w) as x + f*w + g*w**2 and give g. -1398 Express (-2*v**2 + 5*v**2 + 2*v**2)*(-427 + 26 - 130) in the form k + d*v + j*v**2 and give j. -2655 Express 2*m**4 + 268*m**2 - 1 - 454*m**2 - 2*m**3 - 8*m**4 + 219*m**2 in the form r + d*m + l*m**2 + y*m**4 + n*m**3 and give l. 33 Express -3 + 5*u**2 + 16130*u**3 - 16130*u**3 + 20*u - 2*u**4 in the form r*u + k*u**2 + n*u**4 + x*u**3 + w and give w. -3 Rearrange 4 + 48*f - 49*f + 7 + (4*f - 5 + 5)*(4 - 1 - 5) to h*f + p and give p. 11 Express 2*o - 3*o**2 - 88*o**3 + 78*o**3 + o**2 - 5 in the form r*o**2 + b + v*o + h*o**3 and give r. -2 Express ((-1 + 1 + 1)*(3 - l - 3) - l + 0 - 4*l - 2)*(125 + 68 + 375) in the form c*l + v and give c. -3408 Rearrange (3*o**3 + 0*o**2 + 0*o**2)*(-108*o + 0 + 5 + 107*o) to the form s*o**3 + w*o + u*o**2 + b + f*o**4 and give w. 0 Rearrange -4427*g**2 + 5044*g**2 + 0*g + 2*g - 2*g to c*g**2 + w + p*g and give c. 617 Express (4*l**2 - l**2 - 4*l**2)*(-203 - 12*l + 372 - 204) in the form r*l**3 + z*l + t*l**2 + y and give t. 35 Express -209*k - 222*k - 470*k in the form d + o*k and give d. 0 Rearrange 3 - 125*h - 131*h + 254*h to the form w + n*h and give n. -2 Rearrange -65 - 69 + 403*s + 134 + 2*s to the form c*s + i and give c. 405 Express 1344 - 264*v + 1346 - 2689 in the form u*v + y and give u. -264 Express d - 3*d + 387*d**2 - 388*d**2 + 1 as f*d**2 + w*d + t and give w. -2 Rearrange -5*o + 0*o + 45 + 7*o + 9*o - 5*o to the form f + z*o and give z. 6 Express 6*b**2 + 7*b**3 - b**4 - 19*b**2 + 8*b**2 as p*b**3 + t + k*b**2 + g*b**4 + s*b and give p. 7 Express (3*d**2 + 0*d**2 - d**2)*(199*d - 58*d + 394*d) as i*d**3 + j + w*d**2 + b*d and give b. 0 Rearrange -26 + 18 + 6 + 139*k**2 to the form a*k + u + o*k**2 and give u. -2 Express y**2 + 0*y + 3 - 22*y**4 - 1 - 4*y + 20*y**4 in the form b*y**4 + d*y**3 + q*y + p + i*y**2 and give p. 2 Rearrange (15 - 15 - 19*h**2)*(-22*h - 15*h - 29 + 36*h) + (-4*h**3 + h**3 + h**3)*(0 + 1 + 0) to m*h + w + q*h**3 + y*h**2 and give q. 17 Express 41 + w - 106 + 47 as x + d*w and give x. -18 Rearrange -241*q**3 - 3*q**2 + q**2 - 4*q**2 + 222*q**3 to n*q + o*q**2 + w + l*q**3 and give o. -6 Express (2*o - 4*o + 3*o)*(2*o**3 + 0*o**3 - o**3) + (2 + 4 - 12)*(4*o**4 + 2*o**4 + 0*o**4) in the form d*o**2 + b*o**3 + a*o**4 + y + z*o and give a. -35 Express 2*o + 72*o + 230*o**2 - 768*o**2 - 74*o in the form g + f*o**2 + t*o and give f. -538 Rearrange 13*c + 7 - 7*c + 3*c to b + y*c and give b. 7 Rearrange 6 + 3*i**4 + 12*i**2 - i**4 - 4 - 11*i**2 + 9*i to the form c + h*i**3 + j*i**4 + p*i + q*i**2 and give p. 9 Express 122 + 126 - 1538*o - 248 in the form i + s*o and give s. -1538 Rearrange -g + 28*g**2 - 29*g**2 + 2*g + g to r*g + c*g**2 + j and give r. 2 Express i**3 + 493*i - 332 + 497*i - 990*i as a*i**3 + w*i**2 + b + d*i and give b. -332 Rearrange (-3*a + a + 3*a)*(-62 + 29 + 34 - 227*a) to the form b*a**2 + s + y*a and give b. -227 Express -15*z**3 + 3*z**3 - 3*z**2 + 90*z - 91*z as m + l*z**3 + f*z + s*z**2 and give l. -12 Express -158728 + 158729 - 3*a + 6*a**3 - a**4 + 5*a**3 in the form k + b*a**2 + m*a**3 + z*a**4 + r*a and give b. 0 Express -164 - 117 + 275 + 29*o in the form h*o + l and give h. 29 Express -4*u**3 + 719 + u**3 - 708 - 2*u**2 + 4*u + 3*u**3 - u**4 as y*u**3 + o + t*u**2 + q*u**4 + x*u and give x. 4 Express (65 - 22 + 20 + (1 - 1 + 1)*(0 + 2 - 1))*(-x**3 + x**3 - 2*x**3) in the form b*x**3 + o*x + n*x**2 + r and give b. -128 Express (-2*f - f + 5*f)*((-2 + 1 - 3)*(-2 + 1 - 1) + 2 + 2 - 2 - 3 + 5 - 3 + (-1 - 1 + 1)*(3 - 1 - 4)) in the form d*f + o and give d. 22 Express (-2 + 10*o + o**3 - 10*o)*(o + 3*o + 0*o + (3 + 2 + 1)*(4*o + 3*o - 5*o)) in the form a*o**4 + f*o + u*o**2 + g*o**3 + b and give a. 16 Express -2*r**2 - 5*r**2 + 5*r**2 + (-5*r + 3*r - 3*r)*(1 + 2 + 2)*(5 + 2*r - 7 + 12) as b*r**2 + w*r + o and give b. -52 Rearrange 1517*t - 764*t - 4*t**2 - 757*t to w*t**2 + d + m*t and give w. -4 Rearrange -6*n - 2416 - 14*n + 2410 to r*n + y and give r. -20 Express (-116*h - 427*h - 110*h + (-3 + 0 + 1)*(-h + 2*h + h))*(2 - 6 + 2) in the form x + q*h and give q. 1314 Express (-39 + 5 + 2)*(3 - 3 - 2 + (-2 - 1 + 2)*(-2 + 1 + 3))*(3*c + 0*c - 2*c) in the form d*c + q and give d. 128 Express -5004*m + 9983*m - 4979*m - 890 - 3*m**3 + (-5*m**2 - m**2 + 4*m**2)*(0*m - 3*m + m) in the form j + a*m**3 + c*m**2 + t*m and give j. -890 Express (-15*q**2 - q**2 + q**2 + (0*q + 2*q - 3*q)*(3*q + 2*q - 3*q))*(-3 - 3*q + 0 + 1) in the form i + u*q + b*q**3 + f*q**2 and give f. 34 Rearrange (5*v - 3*v - 4*v)*(-92415 + 92415 - 498*v)*(2 - 3 + 0)*(-2 + 2*v + 2) to the form u*v**2 + o*v**3 + r + s*v and give o. -1992 Rearrange f**2 - 4*f**2 - f**2 + (3 + 0 - 5)*(f**2 + 0*f**2 + 0*f**2) + 0*f + 0*f - 3*f**2 - 2*f - f**2 + 18*f**2 + f to i*f + b*f**2 + p and give b. 8 Express -28*v**2 - 88 - 7*v + 176 - 89 as l*v**2 + o + p*v and give p. -7 Rearrange -4*q**3 - 4*q**3 - 5*q**3 - 17 to the form p*q + m + h*q**2 + b*q**3 and give b. -13 Express -3*w - w + w + (0*w + 4*w - 3*w)*((-3 + 3 + 1)*(-22 + 0 + 6) + 1 - 2 + 3) in the form s + z*w and give z. -17 Express -201*p**2 + 2 + 201*p**2 + p**3 - 2*p as o + y*p + k*p**2 + s*p**3 and give o. 2 Rearrange 74 + 71 + 859*q + 80 - 225 to the form y + l*q and give l. 859 Rearrange -2*w**2 - 3*w**2 - w**2 + (2 + 3 + 5)*(-8*w**2 + 4*w - 6*w + 7*w**2) to i + z*w + f*w**2 and give z. -20 Rearrange (-2*b - 3*b - 3*b)*(0*b - 3*b + 4*b + (2 - 2 + 2*b)*(-1 + 1 + 2) + 70 - 12*b - 70) + 3*b**2 - 3*b**2 - 4*b**2 to the form x*b + r + p*b**2 and give p. 52 Rearrange -83*r**2 - 289*r**2 + 106*r**2 - 2 + 0*r - 2*r to n + x*r**2 + g*r and give x. -266 Express -2*h**2 + h**3 + 0*h**3 + 4*h**2 + (-2*h + 2*h - 3*h)*(-6*h - 142 + 142)*(-3*h + 3*h + h) as j*h + x + f*h**3 + u*h**2 and give u. 2 Express (-3*j**3 - 4*j**3 + 3*j**3)*(25 - 21 - 22) as b*j + n*j**3 + q + y*j**2 and give n. 72 Express (-4*r**2 - 6*r**2 + 4*r**2)*(-r - 4*r + 3*r + (-2 + 2 - 5*r)*(-3 - 1 + 2)) in the form y*r + a*r**2 + z + b*r**3 and give b. -48 Rearrange (25*o**2 - 14*o + 14*o)*(2*o**2 - 3*o**2 - o**2) + (2*o + 0*o - o)*(4*o**3 + 0*o**3 - o**3) to n*o**3 + y*o + s + l*o**2 + q*o**4 and give q. -47 Rearrange -9*h - 6 + 8 + 4 + 2 + 0*h + h**3 to the form f*h + j*h**3
{ "pile_set_name": "DM Mathematics" }
899 Let b(a) = -59*a**2. Let c(f) be the first derivative of -13*f**3/3 + 708. Give c(b(y)). -45253*y**4 Suppose 0 = 2*l + 3*d - 0*d - 1, 3*d + 1 = -l. Let v(o) = 146*o**2 - 12 - 148*o**l + 12. Let x(y) = 63*y. Determine x(v(r)). -126*r**2 Let z(c) = -97*c - 5. Let d(h) = 7*h + 30. Let j(i) = 25*i + 105. Let n(o) = 7*d(o) - 2*j(o). Give z(n(w)). 97*w - 5 Let s(x) = -3*x**2 - x. Let l(n) = -2*n - 202596. What is l(s(q))? 6*q**2 + 2*q - 202596 Let u(t) = 9*t. Let i(y) = -7*y - 14*y + 0*y - 865 + 867. Give i(u(z)). -189*z + 2 Let i(v) = -3*v**2. Let s(n) be the third derivative of -26*n**4/3 + 22*n**2 - 6*n. Calculate i(s(m)). -129792*m**2 Suppose 0 = 2*t - 9 + 3, r - 5*t + 10 = 0. Let j(y) = -5 - 5*y + 6*y + r. Let g(p) = -10*p**2 - p**2 + 6*p**2 - p**2 + 8*p**2. Calculate j(g(q)). 2*q**2 Let h(w) = 16*w + 111. Let a(d) = -2*d**2 - d + 2349. What is h(a(x))? -32*x**2 - 16*x + 37695 Let c(f) = 2*f. Let h(b) = -b**2 - b. Let p(w) = 63*w**2 - 2*w - 1. Let u(i) = -12*i - 61. Let s be u(-5). Let t(a) = s*p(a) + 2*h(a). Give c(t(n)). -130*n**2 + 2 Let j(f) = -2*f**2. Let w(h) be the second derivative of -55*h**4/3 + 2*h**2 + 73*h - 6. What is w(j(z))? -880*z**4 + 4 Let z(u) = -2*u**2. Let d(b) be the third derivative of 5*b**4/24 + 97*b**3/3 - 871*b**2. Determine z(d(f)). -50*f**2 - 3880*f - 75272 Let w(c) = -4616841*c - 2. Let t(n) = -5*n. Calculate t(w(d)). 23084205*d + 10 Let f(b) = -b**3 + 4*b**2 + 5*b + 7. Let i be f(-3). Suppose 173 + i = 4*m. Let g(w) = 111*w - 52*w - m*w. Let a(p) = 2*p**2. Determine g(a(l)). 4*l**2 Let n(g) be the third derivative of 31*g**4/24 + 3304*g**2. Let q(r) = 2*r + r**2 - 2*r. Determine n(q(d)). 31*d**2 Let q = -30 - -35. Let t = q + -9. Let i(y) = 3*y + 4. Let c(u) = -6*u - 7. Let d(z) = t*c(z) - 7*i(z). Let o(w) = 5*w**2. Determine o(d(x)). 45*x**2 Let q(l) = 3*l. Let f(y) = 17*y**2 + 32*y - 6. Let o(v) = 68*v**2 + 120*v - 22. Let j(b) = -15*f(b) + 4*o(b). Give q(j(n)). 51*n**2 + 6 Let a(v) = -509*v. Let d(q) = -q - 87148. Calculate a(d(u)). 509*u + 44358332 Let i(v) = -36*v**2. Let j(n) = -48*n - 27. Let q(f) = -5*f - 3. Let k(x) = j(x) - 9*q(x). Calculate i(k(h)). -324*h**2 Let d(g) = -3*g - 6486. Let n(m) = 2624*m - 2. Give d(n(a)). -7872*a - 6480 Let d(c) = -2*c**2. Let h(b) = -316*b**2 + 362*b**2 - 181*b**2. Give d(h(k)). -36450*k**4 Let x(z) = -30*z. Let s(y) = 61*y - 40. Let d(l) = 4028*l - 2650. Let b(j) = 4*d(j) - 265*s(j). Determine x(b(n)). 1590*n Let f(n) = 5*n + 1709. Let z(r) = -220*r**2 + 2*r. Calculate f(z(b)). -1100*b**2 + 10*b + 1709 Let g(q) be the first derivative of -637*q**2 + 1167. Let b(x) = -x**2. Give g(b(w)). 1274*w**2 Let m(z) = 2856*z**2 - 410*z - 2. Let j(v) = v. What is j(m(b))? 2856*b**2 - 410*b - 2 Let b(h) = 420*h. Let a(k) = -69748*k**2 - 2*k. Determine b(a(u)). -29294160*u**2 - 840*u Let p(w) = -2*w**2 - w. Let x(j) = 357*j**2 + 187*j. Let t(k) = -748*p(k) - 4*x(k). Let n(v) = -25*v**2. Calculate t(n(s)). 42500*s**4 Let i(d) be the first derivative of -7*d**3/3 + 2546. Let g(m) = 546*m**2. Give i(g(b)). -2086812*b**4 Let q(b) = 40*b**2 + 96459517*b - 96459517*b. Let l(r) = 2*r**2. What is q(l(v))? 160*v**4 Let w(c) = c. Let t(g) be the second derivative of 0*g**3 + 0 - 1/6*g**5 + 36*g + 0*g**4 - 39/2*g**2. Let a(b) be the first derivative of t(b). What is a(w(f))? -10*f**2 Let b(s) = -13106619*s**2. Let y(x) = -6*x**2. Calculate y(b(q)). -1030700769666966*q**4 Let p(c) = -4*c**2 - c. Let f(k) = -21576*k. Calculate f(p(h)). 86304*h**2 + 21576*h Let y(q) be the first derivative of 11*q**2 - 1379. Let w(v) = -19*v. Calculate y(w(r)). -418*r Let u(a) = 63*a**2 - 16717. Let l(d) = -d. Give u(l(b)). 63*b**2 - 16717 Let q(n) = -12*n. Let u(a) = a**2 - 2*a + 135875. Give q(u(v)). -12*v**2 + 24*v - 1630500 Let h(l) = -3*l. Let r(k) = -60371*k**2 + 362*k. Determine h(r(t)). 181113*t**2 - 1086*t Let l(y) = -24*y - 154. Let z(b) = -15*b**2 + 4*b. Give z(l(a)). -8640*a**2 - 110976*a - 356356 Let l(q) = 2*q**2 + 85*q. Let a(r) = -108993*r. Determine a(l(w)). -217986*w**2 - 9264405*w Let o(j) = -726*j + 1459*j - 727*j. Let z(k) = -76*k**2. Determine z(o(h)). -2736*h**2 Let g(z) = 3*z - 623. Let d(c) = 19*c - 10. What is g(d(o))? 57*o - 653 Let o be -6*(8/10)/(30/575). Let h = o - -170. Let y(m) = 40 - h - 2*m**2 + 38. Let z(p) = -2*p. What is y(z(f))? -8*f**2 Let r(y) = 309*y**2 - 4. Let m(o) be the first derivative of -3*o**2/2 - 1836. Give m(r(d)). -927*d**2 + 12 Let d(g) = -4*g + 445. Let y(r) = -732*r + 731*r + 2 - 2. Determine y(d(l)). 4*l - 445 Let z(u) = u**2 + 120. Let h(y) = 115693*y. Give z(h(a)). 13384870249*a**2 + 120 Let i(k) = 2*k - 310. Let l(j) = 98*j**2 - 9. Determine l(i(r)). 392*r**2 - 121520*r + 9417791 Let j(o) = 43*o + 45*o - 183*o + 50*o + 52*o + 2. Let d(a) = -6*a - 1. Let u(n) = 7*d(n) + 5*j(n). Let p(q) = 5*q**2. Give p(u(m)). 245*m**2 - 210*m + 45 Let s(x) = 5079*x**2 + 13*x - 33*x + 7*x + 13*x. Let z(h) = 2*h. Calculate z(s(p)). 10158*p**2 Let i(p) = -4*p - 5*p - 15060 + 15060. Let j(l) = 60*l**2. Give j(i(z)). 4860*z**2 Let g(i) = -9 + 25 + 2*i**2 + 6*i**2 - 16. Let f(x) = -3*x**2 - 11. What is f(g(m))? -192*m**4 - 11 Let j(u) be the third derivative of -u**5/60 - 137*u**2. Let b(k) be the first derivative of 31*k**3 + 120. Calculate j(b(h)). -8649*h**4 Let y(l) = l**2. Let x(n) = -446538*n. Determine y(x(t)). 199396185444*t**2 Let s(w) = 204*w + 3. Let d(b) = 711*b + 10. Let l(o) = -2*d(o) + 7*s(o). Let x(f) = 7*f**2. Calculate x(l(t)). 252*t**2 + 84*t + 7 Let y(x) = -241*x. Let g(w) = 3101*w**2 + 12*w + 7. Determine g(y(j)). 180109181*j**2 - 2892*j + 7 Let d(i) = -121 + 7*i - 3*i - i + 121. Let n(k) = -28*k - 1. What is n(d(f))? -84*f - 1 Let x(t) = -1210702*t. Let b(o) = 20*o**2. Determine x(b(h)). -24214040*h**2 Let j(b) = 3*b. Let w(k) = -174*k + 440*k - 573*k**2 - 266*k + 5497*k**2. Determine j(w(g)). 14772*g**2 Let s(o) = 11*o + 5. Let r(u) = 9*u + 6. Let k(g) = 63*g + 42. Let p(l) = 4*k(l) - 27*r(l). Let q(i) = 5*p(i) - 6*s(i). Let j(x) = 2*x. What is j(q(z))? -42*z Let s(y) = -10*y. Let a = 269 + -264. Let k(o) = o**2 - o - 1. Let r(d) = -5*d - 5. Let h(t) = a*k(t) - r(t). Determine s(h(l)). -50*l**2 Let j(d) = 7*d + 4. Let y(h) = 7*h + 3. Let x = -67 + 113. Let g = -43 + x. Let s(o) = g*j(o) - 4*y(o). Let k(t) = 3*t. What is s(k(b))? -21*b Let x(m) = 77*m. Let v(q) = -1775*q**2 - 63*q. What is v(x(y))? -10523975*y**2 - 4851*y Let o(l) = 5*l**2. Let r(w) = 2*w - 19 - 12*w + 16*w + 19 + 55. Calculate r(o(x)). 30*x**2 + 55 Let n(r) = -r. Suppose 4*z = -5*b + 254, -5*z + 3*z + 52 = b. Suppose -7*y + b = 3*y. Let p(d) = y*d - 4*d - 4*d + 0*d. Give p(n(l)). 3*l Let n(u) = -678*u. Let l(y) = -15142*y**2. What is n(l(r))? 10266276*r**2 Let j(u) = 68*u - 2. Let k(r) = -372*r + 11. Let z(n) = 22*j(n) + 4*k(n). Let a(x) = 62*x**2. Determine z(a(g)). 496*g**2 Let g(p) = 12*p**2. Let b(j) = -5*j + 3. Let z(r) = -14*r + 21. Let l(h) = -3*b(h) + z(h). What is l(g(x))? 12*x**2 + 12 Let c(l) be the third derivative of l**5/60 + 2251*l**2 + 1. Let f be -3*1*4/(-3). Let v(y) = -3 + y**2 - 5*y**2 + f. Calculate c(v(s)). 16*s**4 - 8*s**2 + 1 Suppose -32*t + 674 = -3518. Let q(f) = -131 + 39*f - 6*f + 30*f + t. Let n(v) = 2*v**2. Calculate n(q(a)). 7938*a**2 Let r(y) = 60*y**2. Let p(i) be the third derivative of 3*i**5/10 - 127*i**2 + 7*i - 2. What is p(r(t))? 64800*t**4 Let m(v) = -12*v**2 + 23*v**2 + 25*v**2 - 103*v**2 + 40*v**2. Let s(l) = 2*l**2 - 90. Calculate s(m(r)). 1458*r**4 - 90 Let y(s) = 14*s**2 - 6*s. Let v(k) = -110960*k. Determine v(y(d)). -1553440*d**2 + 665760*d Let t = -254 - -260. Let o(d) = 3*d + t*d + 3*d - 15*d. Let r(g) = 18*g. Let c(w) = w. Let l(z) = 5*c(z) - r(z). Calculate o(l(y)). 39*y Let b(z) = 2*z**2 + 10*z - 3120. Let i(m) = -115*m. What is i(b(q))? -230*q**2 - 1150*q + 358800 Let j(u) = -u**2. Let d(i) = -89*i - 2. Let z(m) be the first derivative of 89*m**2/2 + 4*m - 62. Let t(r) = 3*d(r) + 2*z(r). Determine j(t(a)). -7921*a**2 + 356*a - 4 Let i(c) = 11*c**2 + 5*c. Let z(s) = 99*s**2 + 44*s. Let l(n) = -44*i(n) + 5*z(n). Let v = 14 + -12. Let t(a) = 4*a**2 - 3*a**2 - v*a**2. Calculate t(l(b)). -121*b**4 Let x(w) = 2*w**2. Let i be (25/15)/((-2)/(-6)). Let a be ((-10)/2 + i)/(-1). Let p(y) = -3*y + 56 + a*y - 56. What is p(x(f))? -6*f**2 L
{ "pile_set_name": "DM Mathematics" }
- 19/j? 56 Let u(q) = q + 216. Calculate the least common multiple of 77 and u(22). 2618 Let x = 4393 + -48362/11. Let v = x - -863/110. What is the common denominator of -69/4 and v? 20 Suppose 0 = -v + 4*v + v. Find the common denominator of -139/18 and 3 + (69/8 - v). 72 Suppose g + 3 = 4. Let r be g/(-7) - (-57805)/7000. Let a = 63/50 + r. What is the common denominator of a and -53/6? 24 Let w = 8 + 3. Let x(f) = 6*f - 17*f - 12*f**2 + w*f**2. What is the lowest common multiple of 22 and x(-9)? 198 Let y be 168634/20 - (0 - 1). Let r = y + -8443. Let w = 2/2747 + 156539/54940. What is the common denominator of w and r? 20 Calculate the least common multiple of ((-1)/(-2) - 2)*-28 and 42. 42 Calculate the common denominator of 3/((-495)/365) - (-1 + -3) and -41/88. 264 Let l = 1925 + -11681/6. Find the common denominator of l and ((-12)/(-14))/((-10)/98). 30 Suppose 3 = -3*m - 3. Let h be (m - -1)*(2 - -1). Calculate the lowest common multiple of 10/h*(0 - 3) and 10. 10 Let w(c) = -3*c - 15. Let u = -1 + -7. Let g be w(u). Suppose d = 2 + g. Calculate the least common multiple of d and 3. 33 Find the common denominator of 502/10 + 19/(-95) and 82/(-6)*(-6)/(-8). 4 Let d = -30 - -26. Find the common denominator of (-363)/2*(d + (-59)/(-15)) and 1/(-4) + (-150)/(-56). 70 Suppose 0 = 4*d - 5*w - 66, -5*d + 2*d - 4*w = -34. Suppose z - 2 = d. What is the least common multiple of 20 and z? 80 Let m = -44 + 46. Suppose 0*a - 3*x = -2*a + 47, -m*x = 4*a - 86. What is the lowest common multiple of 16 and a? 176 Let r(m) = -m**2 - 3*m - 2. Let z(v) = v. Let a(y) = -r(y) + 3*z(y). Let h(t) = -t**2 + 9*t + 22. What is the lowest common multiple of h(9) and a(-8)? 198 Let d = 589 + -28265/48. What is the common denominator of d and 26/9? 144 Let f = 2473/7210 + -78/103. What is the common denominator of f and -13/105? 210 Suppose -5*q - k + 55 = 0, 3*q - k - 3*k = 10. Let y(o) = -2*o**2 - 9*o + 10. Let u be y(-7). Let p = u + 37. What is the smallest common multiple of q and p? 60 Suppose -41*q = -55*q + 686. Calculate the least common multiple of q and 294. 294 Let r(i) = -i**3 + 7*i**2 + 3. Let w be r(7). Calculate the common denominator of (w/(-60))/(1/114) and ((-4)/(-16))/(-1) + 316/(-48). 30 Let m = -682 + 692. Suppose -b + 3*r + 1 = 0, 3*b + 2 - 19 = 2*r. Let g = b + -6. Calculate the smallest common multiple of m and g. 10 Suppose 6*q - 4*q = 12. Calculate the least common multiple of q and (-12)/24 - 26/(-4). 6 Let f = -96322 - -22154117/230. Let s = -1443/115 + f. What is the common denominator of s and 5/6? 30 Suppose 0 = 18*r + 108, 94 = b - 3*r - r. Suppose 0*f - 8 = -f. Calculate the least common multiple of b and f. 280 Suppose -320 = 5*u + 5*w, -6*w = -w. Let y = u + 9. Calculate the common denominator of y/(-28) - (-6)/24 and 63/4. 28 Calculate the common denominator of 49/12 and 2/19 - 1/((-16416)/(-17992)). 108 Suppose c + 20 = 6*c. Suppose -3*q = -c*a + 32, -4*q + 4 - 30 = 3*a. Calculate the common denominator of -91/4 and 2/(1/(36/q)). 4 Let y = 8113 - 925025/114. Find the common denominator of -63/95 and y. 570 Let d(u) = -u**2 - 9*u - 2. Let s be d(-8). Suppose 4*l - s = 2. Suppose 3 = -j + l*f, -2*j + f + 9 = 2*j. What is the lowest common multiple of 14 and j? 42 Let h(r) = 6*r + 23. Let c be h(-5). Let f(n) be the first derivative of -n**3/3 - 4*n**2 - n - 1. What is the lowest common multiple of f(c) and 9? 18 Let w(b) = 28*b - 27*b + b**2 - 4 + b**3 + 4*b**2. Calculate the smallest common multiple of 8 and w(-2). 24 Suppose -6*x - 127 - 29 = 0. Calculate the smallest common multiple of (-26)/(-91) - x/7 and 4. 4 Let f = -134 + 142. Calculate the smallest common multiple of f and 24. 24 Let r(q) be the third derivative of q**5/60 + q**4/12 + 11*q**2. What is the smallest common multiple of 9 and r(-5)? 45 Suppose -31 = -6*o + 17. Suppose 2*j = -2*j + o. Suppose j*h - 5*h + 33 = 0. What is the least common multiple of h and 6? 66 Suppose 22*k - 21*k - 18 = 0. Calculate the smallest common multiple of k and 8. 72 Suppose 23 + 5 = 7*r. Suppose -g + 3*z - 5 - 2 = 0, 0 = g - 5*z + 17. What is the least common multiple of r and g? 8 Suppose -10*d + 1038 = -412. Calculate the lowest common multiple of d and 1. 145 Suppose -v + 201 = 195. What is the smallest common multiple of v and 10? 30 Let z = -100 - -491/6. What is the common denominator of (-134)/5*(-2)/(-8) and z? 30 Let k(s) = s**3. Let z be k(1). Suppose -2*c - 4*q - 10 = 0, z = 2*q + 9. Calculate the smallest common multiple of 4 and c/(-2) - 299/(-26). 20 Suppose 2*m + 5522 + 6606 = 0. Let t = 133381/22 + m. Find the common denominator of t and 31/26. 286 Let m = -5 - -5. Let l be 19 - (m + 6/(-2)). Suppose -3*n - 4*r = -26, -4*r - l = -n + 8. Calculate the least common multiple of 16 and n. 112 Let s = 16536299475 + -1190631994927/72. Let l = -256016 - s. Let t = l - -52/9. Find the common denominator of t and 83/18. 72 Suppose 0 = 9*p - 5*p. Suppose 0 = 3*q + 4*g - 3245 - 1349, p = 2*q - 2*g - 3072. Find the common denominator of 103/12 and (-6)/27 - q/144. 24 Let v = -2311/5 + 41393/90. What is the common denominator of v and -13/18? 18 Let d(k) = 4*k - 4. Let t be d(-11). Let a = t - -54. What is the least common multiple of a and 11? 66 Let f = 4169/8 + -513. What is the common denominator of 1/16*4*1 and f? 8 Let j be ((-977892)/216)/(4/(-6)). Let c = -6801 + j. What is the common denominator of -27/16 and c? 48 Let t = -7 - -6. Find the common denominator of 1/(t/(201/24)) and 2/7 + 614/(-42). 24 Let t = 34 + -18. Calculate the smallest common multiple of (-114)/(-10) + (-3 - 180/(-50)) and t. 48 Suppose 65*w - 71*w = -564. What is the lowest common multiple of w and 9? 846 Let k = 133/8 + -307/24. Find the common denominator of 2 + 590/(-84) - -2 and k. 42 Let r(y) = y**2 - y + 2. Let w be r(-2). Calculate the common denominator of (-6)/w + 693/42 and 17/20. 20 Let y be (-5562)/15 - 1/5. What is the common denominator of (y/147)/((-2)/(-6)) and 1/(-4) + 83/(-4)? 7 Let m be (0/(-3))/1 + 3. Let o be -3 + (m - 2)*5. Suppose -12 - 50 = -o*t. What is the common denominator of t and 29/5? 5 Let c be (-712)/(-10) - 2/10. Let b be 2/4*(-1 - c). Find the common denominator of 79/16 and 130/b - 1 - 1. 144 Let c = 23 - 22. Suppose 0*p - 3*p + 186 = -3*k, 3*k - 114 = -2*p. What is the smallest common multiple of (6/(-15))/((-6)/p) and c? 4 Let v(h) = h**3 - 4*h**2 + 1. Let i = 855/46 - 478/23. Find the common denominator of v(3) and i. 46 Let t = 1437251/120 - 11977. Calculate the common denominator of t and 71/44. 1320 Let d(j) = -4*j - 4. Let l = 6 - 7. Let o be l/1 + -2 + -3. Calculate the least common multiple of d(o) and 2. 20 Suppose 14*m - 19*m + 150 = 0. What is the common denominator of 4 + -1 + (-149)/m and 65/6? 30 Suppose 0 = 2*o + 2*o + 3*d - 11, 3*d - 7 = -2*o. Suppose 50 = o*i - 7*u + 11*u, 4*i - 128 = -u. Calculate the smallest common multiple of i and 24. 264 What is the lowest common multiple of 8250/90*12/10 and 99? 990 Let o be 4/(-2) + (24 - -2). Suppose 5*m - 29 = -q, 4*q - m = 2*m + o. Let w = 3 + q. What is the smallest common multiple of 8 and w? 24 Let x(k) = k**2 - 24*k + 42. Let b be x(22). Find the common denominator of (-1365)/189*((-4)/6)/b and -47/18. 54 Let y = -52/7 + 7991/1071. Let m be (-1)/(4590/(-37029)) - -2. Let r = m + y. Calculate the common denominator of -20/3 and r. 30 Let r(i) = 17*i**2 + 2*i + 4. Let y(d) = d**2 - d - 1. Let b(t) = r(t) - y(t). What is the lowest common multiple of b(-1) and 56? 504 Let d be (-4)/(-51)*(-119916)/(-24). Let y = 30451/34 + d. Let n = y + -1333. What is the common denominator of n and 7/22? 22 Let v(t) = -t**3 - 9*t**2 + 23*t + 13. What is the least common multiple of v(-11) and 229? 458 Let l = -61 - -37. Suppose 5*x - 3283 = -1048. What is the common denominator of (-8)/12 + x/(-45) and l? 5 Let q = 6812/9 - 756. Calculate the common denominator of q and 1/30. 90 Suppose 35 = -5*d - 3*p, 4*p - p = 2*d + 14. Let r be 9 - (-4 - d)/(-3). What is the smallest common multiple of 9 and 12/(-30)*r/(-4)? 9 What is the smallest common multiple of 20 and 5607/12 - -4 - (-55)/(-44)? 940 Let x = 19204 - 19202. Suppose 2*v = -5*g, 17 = 5*g - v + 2. What is the smallest common multiple of g and x? 2 Let p
{ "pile_set_name": "DM Mathematics" }
3, 600562, 1067637, 1668136, 2402047, 3269358? -2*m**3 + 66736*m**2 - 3*m + 1 What is the x'th term of 1038266, 1038270, 1038274, 1038278, 1038282, 1038286? 4*x + 1038262 What is the m'th term of -15349, -17780, -20223, -22684, -25169, -27684, -30235? -m**3 - 2424*m - 12924 What is the q'th term of 2889, 11322, 25373, 45042? 2809*q**2 + 6*q + 74 What is the k'th term of -22829, -16890, -10951, -5012? 5939*k - 28768 What is the t'th term of 2258019, 2258464, 2259205, 2260242, 2261575, 2263204? 148*t**2 + t + 2257870 What is the g'th term of 24356664, 24356665, 24356666, 24356667? g + 24356663 What is the t'th term of -2658, -21426, -72476, -171984, -336126, -581078, -923016? -2696*t**3 + 35*t**2 - t + 4 What is the n'th term of 1979, 16316, 55237, 131036, 256007, 442444, 702641, 1048892? 2049*n**3 - 2*n**2 - 68 What is the u'th term of -2856917, -2856951, -2856983, -2857013? u**2 - 37*u - 2856881 What is the k'th term of 217987, 435930, 653873? 217943*k + 44 What is the q'th term of 6708710, 6708716, 6708722, 6708728, 6708734? 6*q + 6708704 What is the t'th term of -3164910, -6329860, -9494812, -12659766, -15824722, -18989680, -22154640? -t**2 - 3164947*t + 38 What is the r'th term of -670153071, -670153073, -670153075, -670153077, -670153079? -2*r - 670153069 What is the p'th term of 227718, 455436, 683152, 910866, 1138578, 1366288, 1593996? -p**2 + 227721*p - 2 What is the c'th term of 4240, 8572, 12904, 17236? 4332*c - 92 What is the q'th term of 226462204, 452924407, 679386610, 905848813? 226462203*q + 1 What is the m'th term of -784, -827, -880, -943, -1016, -1099? -5*m**2 - 28*m - 751 What is the j'th term of -1259154, -2518308, -3777462, -5036616, -6295770? -1259154*j What is the y'th term of -27676824, -27676823, -27676822? y - 27676825 What is the q'th term of -229485, -459363, -689639, -920313, -1151385? -199*q**2 - 229281*q - 5 What is the v'th term of 755692, 755736, 755818, 755944, 756120, 756352, 756646? v**3 + 13*v**2 - 2*v + 755680 What is the u'th term of -429977336, -429977335, -429977334, -429977333, -429977332, -429977331? u - 429977337 What is the m'th term of 1796, 1517, 1248, 995, 764, 561? m**3 - m**2 - 283*m + 2079 What is the c'th term of 4427614, 4427597, 4427546, 4427443, 4427270, 4427009? -3*c**3 + c**2 + c + 4427615 What is the i'th term of 371303, 742590, 1113877? 371287*i + 16 What is the g'th term of -6881017, -6880947, -6880881, -6880819, -6880761, -6880707? -2*g**2 + 76*g - 6881091 What is the q'th term of 632679, 5061126, 17081195, 40488696, 79079439, 136649234? 632635*q**3 + q**2 - q + 44 What is the o'th term of 9070888, 18141773, 27212658, 36283543? 9070885*o + 3 What is the u'th term of -25954, -25906, -25766, -25492, -25042, -24374? 7*u**3 + 4*u**2 - 13*u - 25952 What is the w'th term of 32732, 130818, 294294, 523160, 817416? 32695*w**2 + w + 36 What is the o'th term of -23, -1093, -3219, -6401, -10639? -528*o**2 + 514*o - 9 What is the l'th term of 738157, 1476306, 2214455? 738149*l + 8 What is the y'th term of -753157, -1506389, -2259621, -3012853, -3766085, -4519317? -753232*y + 75 What is the d'th term of -2451, -4753, -7105, -9507? -25*d**2 - 2227*d - 199 What is the x'th term of -1091, -3251, -6749, -11591, -17783? -x**3 - 663*x**2 - 164*x - 263 What is the c'th term of 8966, 12520, 16086, 19670, 23278, 26916? c**3 + 3547*c + 5418 What is the r'th term of 179600, 179909, 180218, 180527? 309*r + 179291 What is the l'th term of 100, -625, -2604, -6467, -12844, -22365, -35660? -105*l**3 + 3*l**2 + l + 201 What is the v'th term of -2839517, -2839473, -2839391, -2839265, -2839089? v**3 + 13*v**2 - 2*v - 2839529 What is the c'th term of -133795032, -267590063, -401385094, -535180125, -668975156, -802770187? -133795031*c - 1 What is the s'th term of 1724, 5764, 14398, 29924, 54640, 90844, 140834, 206908? 383*s**3 - s**2 + 1362*s - 20 What is the x'th term of -269, 633, 1537, 2443, 3351? x**2 + 899*x - 1169 What is the m'th term of -247, -1929, -5095, -9787, -16047, -23917? -7*m**3 - 700*m**2 + 467*m - 7 What is the y'th term of 390, 57, -264, -573, -870, -1155? 6*y**2 - 351*y + 735 What is the p'th term of 23902, 28382, 35848, 46300, 59738, 76162? 1493*p**2 + p + 22408 What is the q'th term of -12022988, -24045966, -36068944, -48091922? -12022978*q - 10 What is the b'th term of 3279, 3302, 3347, 3414, 3503, 3614, 3747? 11*b**2 - 10*b + 3278 What is the r'th term of -4802537, -4802562, -4802587? -25*r - 4802512 What is the i'th term of -1904090, -1904076, -1904062? 14*i - 1904104 What is the g'th term of 1881, 1873, 1849, 1803, 1729, 1621, 1473? -g**3 - 2*g**2 + 5*g + 1879 What is the b'th term of 143584, 143569, 143544, 143509, 143464, 143409? -5*b**2 + 143589 What is the m'th term of -105, -458, -1129, -2220, -3833, -6070? -17*m**3 - 57*m**2 - 63*m + 32 What is the c'th term of -953742280, -1907484560, -2861226840, -3814969120, -4768711400? -953742280*c What is the u'th term of -346697, -1386803, -3120311, -5547221, -8667533, -12481247, -16988363? -346701*u**2 - 3*u + 7 What is the x'th term of -671785, -1343610, -2015445, -2687290? -5*x**2 - 671810*x + 30 What is the w'th term of 1057, 902, 481, -338, -1687, -3698? -22*w**3 - w**2 + 2*w + 1078 What is the x'th term of -75, -754, -1541, -2436? -54*x**2 - 517*x + 496 What is the c'th term of 46513318, 46513319, 46513320, 46513321, 46513322, 46513323? c + 46513317 What is the s'th term of -6560, -5605, -4650, -3695, -2740? 955*s - 7515 What is the a'th term of -263248278, -263248279, -263248280, -263248281, -263248282? -a - 263248277 What is the d'th term of -218644, -218641, -218644, -218653? -3*d**2 + 12*d - 218653 What is the l'th term of 59680, 119787, 179894, 240001, 300108? 60107*l - 427 What is the m'th term of -8172, -25834, -55272, -96486, -149476, -214242? -5888*m**2 + 2*m - 2286 What is the g'th term of -42082, -73172, -104262? -31090*g - 10992 What is the m'th term of -1153, -3882, -8265, -14302, -21993, -31338? -827*m**2 - 248*m - 78 What is the v'th term of -3639975, -7280017, -10920059, -14560101? -3640042*v + 67 What is the a'th term of -6274, -50637, -171070, -405607, -792282, -1369129, -2174182, -3245475? -6339*a**3 - a**2 + 13*a + 53 What is the v'th term of -1717831, -1717566, -1717301? 265*v - 1718096 What is the x'th term of 12370, 12409, 12450, 12493, 12538, 12585, 12634? x**2 + 36*x + 12333 What is the q'th term of 950, 3560, 6184, 8828, 11498, 14200, 16940? q**3 + q**2 + 2600*q - 1652 What is the h'th term of -143310, -286603, -429896, -573189? -143293*h - 17 What is the x'th term of -5859545, -11719109, -17578683, -23438273, -29297885, -35157525, -41017199, -46876913? -x**3 + x**2 - 5859560*x + 15 What is the k'th term of -307062, -614327, -921586, -1228839, -1536086, -1843327? 3*k**2 - 307274*k + 209 What is the n'th term of -28555, -28487, -28423, -28363, -28307, -28255, -28207? -2*n**2 + 74*n - 28627 What is the a'th term of 2527804, 5055613, 7583422, 10111231, 12639040, 15166849? 2527809*a - 5 What is the s'th term of 6200, 9196, 14190, 21182, 30172, 41160, 54146? 999*s**2 - s + 5202 What is the f'th term of 823, -216, -1949, -4376? -347*f**2 + 2*f + 1168 What is the a'th term of 295607, 295208, 294797, 294368, 293915, 293432? -a**3 - 392*a + 296000 What is the t'th term of 154418, 154426, 154446, 154484, 154546, 154638, 154766? t**3 + t + 154416 What is the c'th term of -21659, -85915, -193007, -342935? -21418*c**2 - 2*c - 239 What is the o'th term of 29061931, 29061933, 29061937, 29061943, 29061951? o**2 - o + 29061931 What is the i'th term of 2216, 9642, 22274, 40112, 63156, 91406, 124862? 2603*i**2 - 383*i - 4 What is the k'th term of 49876, 49975, 50074? 99*k + 49777 What is the j'th term of 26759024, 53518049, 80277074, 107036099? 26759025*j - 1 What is the h'th term of 4364271, 8728534, 13092783, 17457018, 21821239, 26185446, 30549639? -7*h**2 + 4364284*h - 6 What is the z'th term of 43515, 173912, 391211, 695412, 1086515, 1564520, 2129427? 43451*z**2 + 44*z + 20 What is the c'th term of 22335, 20911, 19485, 18057, 16627, 15195? -c**2 - 1421*c + 23757 What is the u'th term of 1773026, 1773027, 1773028, 1773029, 1773030? u + 1773025 What is the z'th term of -15215, -29611, -44007? -14396*z - 819 What is the p'th ter
{ "pile_set_name": "DM Mathematics" }
*c + 12 = -8. What is the highest common factor of c and g? 4 Let q = -741 + 774. Calculate the highest common divisor of 825 and q. 33 Suppose -13440 = 59*b - 74*b. Calculate the greatest common factor of 56 and b. 56 Let t(l) be the first derivative of -l**3/3 + 3*l**2 - 4*l - 8. Let i be t(4). What is the greatest common factor of 44 and i? 4 Let o be ((-128)/(-10))/(-10*(-14)/350). What is the greatest common divisor of 48 and o? 16 Suppose -f + 4*f = 30. Let l = -5 + f. Let a = 10 - l. What is the greatest common factor of 2 and a? 1 Let s be (-3096)/(-20) - 6/(-30). Calculate the greatest common factor of s and 15. 5 Let p be 3*((-84)/(-9) - -2). Let r = p - 25. Calculate the highest common divisor of r and 54. 9 Suppose -31 = -l - 3*f, -19 = -4*l + 3*l + 3*f. Let m = l - 19. Calculate the greatest common factor of 3 and m. 3 Let o be (-1 - (-72)/(-2))*(-5 + -4). What is the greatest common divisor of o and 37? 37 Suppose 41*d = 43*d - 4. Suppose -4*a = d*a - 216. Calculate the greatest common factor of 12 and a. 12 Let h be ((-4)/5)/((-2)/120). Let r(s) = s**2 + 6*s. Let l be r(-6). Suppose l = 3*c - 10 - 8. Calculate the greatest common factor of h and c. 6 Let t be (0 - (-4)/(-3)) + (-190)/(-3). Suppose -48 + t = o. Calculate the highest common factor of o and 84. 14 Suppose 13 = a - 4. Let h be (-2)/3*(1224/16)/17. Let r = a + h. Calculate the greatest common divisor of 126 and r. 14 Let g = -31 + 35. Let r be 1/(7/g)*7. Calculate the greatest common divisor of r and 10. 2 Let t = -36 + 360. Suppose 8*a = 4*a + t. Calculate the highest common factor of a and 54. 27 Let t = -53 - -55. Let q be 157/t - (-7)/(-14). Calculate the greatest common divisor of q and 117. 39 Let i(m) = m**3 - m**2 + 10. Suppose -5*j = -2*j + 3*o - 6, 2*o - 4 = -j. Let a be i(j). What is the greatest common factor of 25 and a? 5 Let g(z) = -z**3 - 3*z**2 - 2*z - 1. Let x be g(-2). Let d(h) = -11*h + 1. Let a be d(x). Calculate the greatest common factor of 8 and a. 4 Suppose -7*t = 890 - 3074. Let d be 3*(2 + t/9). Calculate the greatest common divisor of 22 and d. 22 Suppose 0 = -5*k - 180 + 1380. Suppose 0 = -4*c - c + k. Suppose -4*h = -r - 2, 31 + 1 = 4*r + 4*h. Calculate the highest common divisor of r and c. 6 Let q(f) be the third derivative of f**4/6 + 4*f**3 + 2*f**2. Let r be q(10). Calculate the greatest common divisor of 16 and r. 16 Let f be (-4)/(0 + (-4)/20). Suppose 2*v - 2 - f = -3*s, -4*s - 4 = -4*v. Let l be ((-21)/12)/(v/(-40)). What is the greatest common divisor of 2 and l? 2 Let r(j) = 11*j**2 + 22*j - 67. Let p be r(3). Suppose -f - 2 = -a + 13, 0 = 3*a - 2*f - 44. What is the highest common factor of a and p? 14 Suppose 0*a - 2*a + 254 = -c, 0 = -2*a + 4*c + 242. Let g = a + -53. What is the highest common factor of 19 and g? 19 Let q = -14 - -109. Let v be (3 - 9/2)*(-304)/24. What is the highest common divisor of v and q? 19 Let g(k) = -2*k + 15. Let t be g(13). Let j be t/2*(4 - 2). Let f = j - -31. Calculate the highest common divisor of f and 5. 5 Suppose 7*o - 12*o = 0. Let p be o - (-193 + 2 + 2). What is the highest common divisor of p and 21? 21 Suppose -4*s = 4*h - 8, -3*h + 4*s + 2 = -11. Let m be 3/((-3)/(-6) - 1). Let z be ((-1)/2)/(m/36). Calculate the greatest common factor of z and h. 3 Let b be 2/9 + (-38)/9. Let q(f) = 9*f**2 - 2*f - 2. Let n be q(b). What is the greatest common factor of n and 30? 30 Suppose -8*i = -255 - 105. Calculate the highest common factor of i and 1440. 45 Let x(m) = m**3 - 12*m**2 - 15*m - 10. Let j be x(13). Let z be (j/42)/((-1)/(-14)). Let c = z + 24. Calculate the greatest common divisor of 48 and c. 12 Let q(p) = -p**3 - 16*p**2 + p + 18. Let j be q(-16). Suppose j*w + 298 = 4*d, -2*d + 3*d - 5*w - 97 = 0. Calculate the greatest common factor of d and 108. 36 Let y(s) = s + 2 + 22 - 6*s + 3*s. Let t be y(5). Calculate the highest common factor of 14 and t. 14 Let r = -23 - -25. Let u(w) = -4*w - 3 - 8 + 5 + 18*w - r*w**2. Let l be u(6). What is the greatest common factor of l and 15? 3 Suppose 0 = -7*s - 3*s + 270. What is the highest common factor of s and 3? 3 Let y be (-1 + 2)*(-6 + 10). Suppose -11 = -y*t + l, 4*t - l = -t + 15. Suppose -19 = t*m - 79. Calculate the greatest common divisor of 120 and m. 15 Let c(p) = 5*p - 28. Let l be c(6). Suppose u = 3*u - 2*f + l, -5*u = 3*f - 19. Calculate the highest common factor of 16 and u. 2 Suppose 8*o - 4 - 28 = 0. Calculate the greatest common divisor of o and 26. 2 Let q = 10 - -44. Suppose -4*i = 60 - 264. Let g = i + -45. What is the highest common divisor of q and g? 6 Suppose 40*n - 168 = 19*n. Let z be (-544)/(-6) - (-2)/(-3). Suppose -2*o = 2*r - z, -o - 3*o + 175 = 3*r. Calculate the greatest common divisor of o and n. 8 Let m be (-4)/4 + 1 - -3. Suppose 5*z + 33 = 3*t, z - 3*z - m*t = 30. Let h be (25 - z/(-3)) + -1. Calculate the greatest common divisor of 3 and h. 3 Suppose q - 102 = -5*k - 2*q, k - 2 = 4*q. Let y be 0/((-10)/(-5)) + 2. Suppose -74 = -y*t - k. Calculate the highest common divisor of 7 and t. 7 Let b = 56 + 104. Let z(f) = -2*f**2 - 173*f - 66. Let p be z(-86). Calculate the greatest common divisor of p and b. 20 Let u be (18/54)/(398/132 + -3). Calculate the highest common factor of 407 and u. 11 Suppose j + 1096 = 5*j. Let x = j - 154. Suppose 0 = 2*v - 119 + 23. Calculate the highest common factor of x and v. 24 Let y = -632 - -1064. What is the highest common divisor of y and 54? 54 Let v = 1019 + -747. Calculate the greatest common factor of 34 and v. 34 Let d(p) = -111*p + 117. Let g be d(-15). What is the greatest common divisor of g and 66? 66 Let p be 1 - (1 + -2)*1. Let q = 125 + -52. Let c = q + -67. Calculate the highest common divisor of c and p. 2 Suppose 57 - 12 = u. Suppose -3*x - 2*f + 143 = 0, 190 + u = 5*x + 4*f. Calculate the highest common divisor of 17 and x. 17 Let q = -14 + 44. Let z be ((-1)/(4/18))/(q/(-180)). Calculate the greatest common divisor of 36 and z. 9 Suppose -2*n = -5*b - 290, n - 2*n + 146 = -2*b. Let x = -363 + 393. What is the greatest common divisor of x and n? 30 Let l(a) = -5*a + 8. Let h be l(-8). Calculate the highest common factor of 192 and h. 48 Suppose -2*i = 2*t - 342, -5*i + 409 = 3*t - 96. Suppose -o - t = -5*d, 0 = -4*d - 2*o - 2*o + 164. Calculate the greatest common factor of d and 54. 18 Suppose 5*f = 3*y + 48, -2*f + 14 + 3 = y. Suppose 33 = -4*x + f. Let v be (-9)/x*(0 - -20). Calculate the highest common divisor of v and 30. 30 Let b be 4/((-16)/(-76)) - (-11 - -12). Let x(c) = 2*c. Let j be x(1). What is the highest common divisor of j and b? 2 Let s = -23 - 38. Let c = s + 109. Let y(l) = 9*l**2 - 2*l - 3. Let o be y(3). Calculate the highest common divisor of c and o. 24 Let y = 72 + -32. Calculate the highest common divisor of y and 360. 40 Let n be (-2 + 1)/(1/(-110)). Suppose 384 = 41*w - 26. What is the highest common factor of n and w? 10 Let z be 498/4 - 2/(-4). Suppose 3*d + 3*p - 15 = 0, p = -5*d + 4 + 1. Suppose d*a + 150 = 3*a. Calculate the highest common factor of a and z. 25 Let f be (90/(-2))/(8 + (-72)/8). What is the greatest common divisor of 10 and f? 5 Suppose -2*j + 6*j - 48 = 4*t, 5*t = j - 32. Suppose -r - 2*r = 2*w - 142, -r + 73 = w. Calculate the greatest common factor of w and j. 7 Let u(p) = p**2 - 21*p + 1. Let l be u(18). Let w = -24 - l. Calculate the highest common divisor of 319 and w. 29 Suppose 60 = 12*g + 3*g. Calculate the greatest common factor of 1120 and g. 4 Suppose 8*i - 14*i = -192. Calculate the greatest common factor of i and 416. 32 Let q = -18 - -21. Let z(f) = 5 - 6*f + 7 + f**2 - q. Let o be z(7). Calculate the highest common divisor of o and 8. 8 Let q(o) = -6 - 5 - 20*o**2 + 21*o**2 + 10*o. Let p be q(9). What is the highest common factor of p and 16? 16 Suppose -4*l + 1708 = 5*g, -5*l = 4*g - 859 - 511. Calculate the greatest common factor of 272 and g. 68 Suppose v - 3*v + 68 = 0. Let k(w) = -133*w + 433. Let o be k(3). Calculate the greatest common divisor of v and o. 34 Suppose 5*n = -4*t + 35, -5*t - n + 34 - 6 = 0. Suppose t*o - 31 = 104. Calculate the highest common divisor of o and 243. 27 Suppose a + a = 416. Suppose 0 = -6*d + 7*d - a. What is the greatest common divisor of d and 26? 2
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from {z: 2, k: 3, t: 3, w: 2, j: 9}? 2/969 What is prob of picking 1 e and 2 o when three letters picked without replacement from {o: 5, e: 7}? 7/22 Four letters picked without replacement from oxxoxooccxocoooco. What is prob of picking 3 o and 1 c? 12/85 Two letters picked without replacement from {m: 1, l: 1, j: 1, p: 1, u: 1}. Give prob of picking 1 u and 1 j. 1/10 Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {g: 4, r: 2, n: 1}. 4/35 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ffffuffffffuft. 2/91 Four letters picked without replacement from {a: 2, z: 3, m: 1, n: 3, f: 2, y: 1}. Give prob of picking 2 z and 2 n. 1/55 Two letters picked without replacement from {n: 4, g: 10, q: 1, t: 3}. What is prob of picking 1 t and 1 n? 4/51 Two letters picked without replacement from fccffcffcfcfff. Give prob of picking 2 f. 36/91 Three letters picked without replacement from {g: 2, r: 6}. What is prob of picking 2 r and 1 g? 15/28 Two letters picked without replacement from {w: 4, d: 4, q: 5, k: 1, v: 5}. Give prob of picking 1 d and 1 q. 20/171 Two letters picked without replacement from {r: 5, z: 1, y: 3, w: 1}. What is prob of picking 1 y and 1 w? 1/15 Four letters picked without replacement from {q: 5, j: 1, r: 3, h: 2, e: 3, i: 1}. What is prob of picking 1 q, 2 r, and 1 e? 3/91 Four letters picked without replacement from gkojggoiiojoig. Give prob of picking 2 o and 2 g. 36/1001 What is prob of picking 2 k and 1 f when three letters picked without replacement from {k: 8, f: 3}? 28/55 Two letters picked without replacement from llhzqql. What is prob of picking 2 l? 1/7 Three letters picked without replacement from ftiijqqf. What is prob of picking 2 f and 1 q? 1/28 What is prob of picking 2 c when two letters picked without replacement from cgyoicgyggjoyoc? 1/35 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {k: 1, a: 1, u: 1, i: 2}. 1/10 Two letters picked without replacement from ptpco. Give prob of picking 1 c and 1 t. 1/10 What is prob of picking 1 u, 2 j, and 1 l when four letters picked without replacement from ujuiululiiij? 8/495 What is prob of picking 1 w and 2 j when three letters picked without replacement from hwwnjwjhwwwwhwh? 8/455 Three letters picked without replacement from {l: 6, g: 2, m: 3, x: 1}. What is prob of picking 2 l and 1 x? 3/44 What is prob of picking 1 y and 3 d when four letters picked without replacement from {y: 6, d: 6}? 8/33 Two letters picked without replacement from {u: 5, r: 1, s: 1, q: 4}. Give prob of picking 1 r and 1 u. 1/11 What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 1, d: 12}? 2/13 Three letters picked without replacement from llxrlllxrxlxrlvrrr. What is prob of picking 1 l, 1 r, and 1 v? 7/136 Two letters picked without replacement from {e: 9, u: 7}. What is prob of picking 2 u? 7/40 Three letters picked without replacement from lqlquluuzdlzlqlqu. What is prob of picking 1 l, 1 d, and 1 q? 3/85 Two letters picked without replacement from zsszcsszzsssssszz. What is prob of picking 2 s? 45/136 What is prob of picking 1 m and 1 n when two letters picked without replacement from gyjjnymjjjjm? 1/33 What is prob of picking 1 x, 1 b, and 1 u when three letters picked without replacement from {b: 2, k: 1, u: 5, x: 6, q: 1, l: 1}? 3/28 Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {p: 1, t: 1, j: 1, q: 1, v: 3}. 1/7 What is prob of picking 2 e when two letters picked without replacement from {e: 12, v: 1}? 11/13 What is prob of picking 1 k and 1 d when two letters picked without replacement from dnnnnbdknddsnndkbdb? 4/57 Two letters picked without replacement from lulwvlqqdvqulqvquql. What is prob of picking 1 l and 1 q? 10/57 Four letters picked without replacement from {z: 1, h: 4, b: 2, p: 3, k: 8, t: 2}. Give prob of picking 2 p, 1 h, and 1 t. 8/1615 Four letters picked without replacement from pzpnzpnnzzpnpn. What is prob of picking 1 n and 3 z? 20/1001 Three letters picked without replacement from {w: 2, b: 1, i: 2, q: 2, m: 1, k: 1}. What is prob of picking 1 b and 2 w? 1/84 Calculate prob of picking 2 e, 1 l, and 1 m when four letters picked without replacement from tmeltemlttmtl. 9/715 Three letters picked without replacement from {m: 4, s: 1, l: 4, w: 2, x: 6, o: 2}. Give prob of picking 2 m and 1 l. 8/323 Calculate prob of picking 1 i and 1 k when two letters picked without replacement from okookookokookiiko. 3/34 Two letters picked without replacement from zzzzwszzzzzzzzzzzzzz. What is prob of picking 1 z and 1 w? 9/95 What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 1, t: 5, n: 3, q: 1, e: 1}? 1/55 Three letters picked without replacement from {v: 1, i: 12, s: 1}. What is prob of picking 2 i and 1 v? 33/182 Three letters picked without replacement from uunuemyuneneuuye. What is prob of picking 2 y and 1 n? 3/560 Four letters picked without replacement from yynl. What is prob of picking 4 n? 0 Two letters picked without replacement from {o: 6, k: 9, t: 2}. Give prob of picking 1 t and 1 o. 3/34 Four letters picked without replacement from {o: 3, g: 3, s: 13}. What is prob of picking 1 s and 3 g? 13/3876 Three letters picked without replacement from {d: 1, z: 3, q: 1, g: 2, v: 11}. Give prob of picking 1 v, 1 g, and 1 d. 11/408 Two letters picked without replacement from {h: 1, n: 1, l: 1, u: 1, j: 1}. Give prob of picking 1 u and 1 l. 1/10 Four letters picked without replacement from {x: 9, i: 3, k: 4}. What is prob of picking 2 k and 2 i? 9/910 Calculate prob of picking 1 f, 1 d, and 2 q when four letters picked without replacement from {l: 3, i: 1, d: 7, s: 4, f: 1, q: 4}. 14/1615 Two letters picked without replacement from rsrrussurrsr. What is prob of picking 1 u and 1 r? 2/11 Three letters picked without replacement from xxxxxnnnxxxxxx. Give prob of picking 2 x and 1 n. 165/364 Three letters picked without replacement from {d: 2, k: 10, o: 1, q: 1, n: 2}. What is prob of picking 2 d and 1 k? 1/56 What is prob of picking 2 j when two letters picked without replacement from {j: 4, c: 3}? 2/7 Two letters picked without replacement from ezvezzewez. What is prob of picking 2 e? 2/15 Three letters picked without replacement from uwjuuvjxjvuu. Give prob of picking 1 w, 1 x, and 1 j. 3/220 What is prob of picking 2 b when two letters picked without replacement from {e: 5, b: 2, q: 13}? 1/190 Two letters picked without replacement from {o: 7, i: 8, w: 2, k: 1, n: 1}. What is prob of picking 1 o and 1 i? 56/171 Two letters picked without replacement from uudxubdbudxuxxbxu. Give prob of picking 1 u and 1 d. 9/68 Four letters picked without replacement from dkhkhgkdkwhv. What is prob of picking 1 d, 1 v, 1 w, and 1 k? 8/495 What is prob of picking 2 r and 1 e when three letters picked without replacement from {r: 3, e: 1, u: 1}? 3/10 What is prob of picking 4 j when four letters picked without replacement from rxjjrjjcx? 1/126 Two letters picked without replacement from kekllellkkeeekee. Give prob of picking 2 k. 1/12 Four letters picked without replacement from keveiieiiieksvkvek. What is prob of picking 3 e and 1 k? 2/153 Two letters picked without replacement from hrhh. What is prob of picking 1 r and 1 h? 1/2 Two letters picked without replacement from {c: 2, z: 5}. What is prob of picking 2 c? 1/21 Two letters picked without replacement from {s: 1, p: 1, q: 1}. What is prob of picking 1 s and 1 q? 1/3 Two letters picked without replacement from yqq. Give prob of picking 1 q and 1 y. 2/3 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 1, o: 1, w: 5, z: 4, d: 3, r: 1}. 1/105 Four letters picked without replacement from xnmxjttjmtjtnmnlttn. Give prob of picking 2 m, 1 l, and 1 n. 1/323 What is prob of picking 2 k and 2 l when four letters picked without replacement from {k: 5, l: 2, i: 1, y: 1}? 5/63 Calculate prob of picking 1 a, 1 h, and 1 q when three letters picked without replacement from {q: 8, e: 1, d: 1, c: 1, h: 4, a: 1}. 2/35 Four letters picked without
{ "pile_set_name": "DM Mathematics" }
+ q)*(-1 + 1 + 1). -28*q**2 Expand 0 + 0 + 2*t**3 + (-4*t**2 + t**2 + 0*t**2)*(5*t - 2*t - 2*t). -t**3 Expand (0*d + d - 3*d)*((-1 + 3 - 1)*(-6 + 0 + 3) + 2 + 0 - 3). 8*d Expand r**4 + r**5 - r**4 + 2*r**5 + 0 + 0 + (2*r**5 + 0*r**5 + 0*r**5)*(-1 + 1 - 2) + 2*r**5 - 3*r**5 - 24*r + 21*r. -2*r**5 - 3*r Expand -3*c**2 + c**2 + 3*c**2 + (c + 11 - 11)*(-c + 0*c + 3*c). 3*c**2 Expand -2*u**5 + 0*u**5 - 3*u**5 + (-2 + 0 + 4)*(u**5 + u**5 - 4*u**5) + 2*u**4 - 3*u**5 - 2*u**4. -12*u**5 Expand (2*u + 0*u - 7*u)*(u**4 - 11*u**3 + 26*u**3 + u**4). -10*u**5 - 75*u**4 Expand (-1 + 1 - 4*s)*(-3 + 6 - 22 + (5 - 3 - 4)*(1 + 1 - 1) + 2 + 1 - 4). 88*s Expand 4*w**3 - 4*w**3 + 2*w**5 - w**2 + 2*w**5 + w**2 + (-5*w**2 + 7 - 7)*(w**2 - w**2 + w**3). -w**5 Expand -3*d**2 + 3*d**2 + d**5 + (-2*d**5 + 4*d**5 - 4*d**5)*(-4 - 7 - 14). 51*d**5 Expand (3*y**2 - 1 + 1)*(-7*y - 9 + 9)*(3 - 1 - 3). 21*y**3 Expand (-2*v**4 - v**4 + 4*v**4)*(5*v - v + 3*v) + 3*v**5 + 0*v**5 - 5*v**5. 5*v**5 Expand -3*w**4 - 3*w**4 + 5*w**4 + (3*w**2 - 3*w**2 + w**2)*(1 + 3*w**2 - 1). 2*w**4 Expand ((4 - 4 - 1)*(3 + 1 - 3) - 4 + 0 + 0 + 3 + 0 - 2)*(2*w**2 + 0*w**2 - 3*w**2 + (-2*w + 0 + 0)*(2*w - 5*w + 4*w)). 12*w**2 Expand (5 - 5 - c)*(-2 - c**2 + 2)*(c + 0*c + 7*c). 8*c**4 Expand (-3*y + 3*y - 2*y)*(4 - 3 - 2 + (5 - 5 + 6)*(2 + 3 - 3))*(2*y - 2*y + y). -22*y**2 Expand (2 + 0 - 5*f + 4*f)*(22 - 4 + 3)*(-4 + 2 + 0). 42*f - 84 Expand (0*c**2 - 2*c**2 + c**2)*(-2*c + 0*c - 3*c). 5*c**3 Expand (-3 + 1 + 4)*(1 - 4 + 1)*(w**3 - w**3 + 2*w**4 + (-w + 0*w + 3*w)*(1 - 1 - 2*w**3) + w**4 - 3*w**4 + w**4 - 5*w**4 + 4*w**4 + 3*w**4). 4*w**4 Expand 2*y**2 - 8*y + 0*y**2 + 2*y**3 + 10*y + (-2*y**2 - 3*y**2 + 3*y**2)*(2*y - y + y). -2*y**3 + 2*y**2 + 2*y Expand (-4*u**2 - 4 + 4)*(4 - 2 - 1). -4*u**2 Expand (0*s + s + s + (-s - 1 + 1)*(-3 - 1 + 2) - 2 - 4*s - s + 36*s)*(-s - s + 3*s). 35*s**2 - 2*s Expand (-4 - 11*s + 7*s - s)*(-s**2 + 6*s**2 - 3*s**2). -10*s**3 - 8*s**2 Expand ((-y + 1 - 1)*(-y + 0*y + 2*y) + 14*y - y**2 - 14*y)*(6*y - y - 2*y). -6*y**3 Expand (-1 + 3 + 0)*((-2 + 2 + 1)*(3*m - 2*m - 3*m) + (0*m + 2*m - 3*m)*(-3 + 2 - 5)). 8*m Expand -2*r**5 + 3*r - 3*r + (5*r - 4*r - 2*r)*(-2*r + 2*r - r**4) + (3*r - 5*r**2 - 3*r)*(0*r**3 + 3*r**3 - r**3). -11*r**5 Expand (3*f - f - 11*f)*(f**3 - f**3 - 2*f**3). 18*f**4 Expand (-1 - 4 + 3)*(4 + 0 + 9)*(-4*h + h + 5*h)*(2 - 1 + 2). -156*h Expand (9 - 6*a - 9)*(-8 - 2 - 7). 102*a Expand (l**2 + 0 + 0)*(-3*l - 4*l + 5*l) + (1 - 1 + 6)*(2*l**3 - 1 + 1). 10*l**3 Expand (3 - 4 + 0)*(-6*t + 2*t + 5*t)*((-6 + 2 + 5)*(-3*t**2 + 3*t**2 - t**2) - 2*t**2 + t**2 + 5*t**2). -3*t**3 Expand (-1 - 2 + 1)*(-2 - 2*o**5 + 2 + 7*o**5 + 3*o**5 + 5*o**5 + (-1 + o**3 + 1)*(-2*o**2 + 3*o**2 - 3*o**2) + o**5 - o**5 - o**5). -20*o**5 Expand (-2*y - y + 5*y)*(2*y - 5*y + 0*y)*(2*y - 23*y**2 - 2*y). 138*y**4 Expand (-4 + 1 + 9 + (1 - 4 + 4)*(-3 + 3 + 2))*(3*q - 5*q + 3*q) - q + 2*q + 0*q. 9*q Expand (3 - 1 - 3)*(2 + 2*h**2 - 2) - 2*h**2 - h**2 + 4*h**2. -h**2 Expand -w**4 + 0*w**4 + 3*w**4 + (-2*w**3 + 5 - 5)*(-4*w + w + 2*w). 4*w**4 Expand (-43*g**2 + 42*g**2 + g**3 + 0*g**3)*(1 + 0 + 1)*(3*g + 0*g - g). 4*g**4 - 4*g**3 Expand (d - 3*d + d)*(6*d**3 + 2*d**3 - 5*d**3) - d - 2*d**4 - 10 + 10. -5*d**4 - d Expand (2*r**2 + 5*r**2 - 4*r**2 + 3)*(-2*r**2 - r**2 + r**2). -6*r**4 - 6*r**2 Expand (1 - 1 + 1)*(6*k - 2*k + 0*k)*(0*k - 2*k + k). -4*k**2 Expand (7 - 2 - 10)*(1 + 0 - 2)*(-2*o - 4*o**2 + 2*o**2 - o). -10*o**2 - 15*o Expand -f**5 + f**5 - f**5 + (2*f**3 - 3 + 3)*(-3 + 3 - 3*f**2) + 3*f**5 - 6*f**5 + 2*f**5. -8*f**5 Expand (-2*m - 2*m + 2*m)*(3*m**2 + 3*m**2 - 4*m**2)*(-2 + 3 + 6). -28*m**3 Expand ((-1 + 1 + h)*(2*h + 2*h - h) + 0*h**2 + 4*h**2 + 0*h**2 - 15 + 6*h**2 + 15)*(-2*h + 8*h - 3*h). 39*h**3 Expand (-3 + 3 + 3*v)*(-2*v + 6*v - v)*(2*v - 1 + 1) + 2 - 2*v**3 - 2. 16*v**3 Expand 15*n + 5 - 9 + 2 - 2*n - 2*n + 3*n + (2 + 3 - 3)*(-2*n - n + n). 10*n - 2 Expand (-37 + 3*m**2 + 5*m**2 + 34)*(-m**2 - m**2 + 3*m**2). 8*m**4 - 3*m**2 Expand (3 + 1 - 6)*(-2*y - 4 + 4 - 3 + 3 - y + y - y - 2*y + (2*y - 4*y + 0*y)*(-2 - 2 + 5) - 3*y + 5*y - 3*y + y + 2 - 2). 14*y Expand (2 - 2 + 2*z**2)*(-7 + 7 + 3*z) + 6*z**3 - 2 - 4*z**3 - 4*z**3 - 2*z**3 + 0*z**3 + 0*z**3. 2*z**3 - 2 Expand (-3*o + 2*o + 0*o)*(7*o - 4*o - 2*o)*((-o - 2*o + 2*o)*(0*o - 3*o + o) + 2*o**2 - 2*o**2 + o**2). -3*o**4 Expand (-3*p**5 + 0*p**5 + 0*p**5)*(-3 - 4 - 1). 24*p**5 Expand (-5*t**2 + 2*t**2 + 4*t**2)*(-t - t - 2*t) + 4*t**3 - 5*t**3 + 0*t**3 + (-2*t + 3*t - 2*t)*(1 - 2*t**2 - 1) - t**3 - t**3 + 0*t**3. -5*t**3 Expand 0*d**5 + 2*d**5 - d**5 + (0*d - 3*d + d)*(-2*d**3 + 2*d**3 - 2*d**3)*(2*d + 4 - 4). 9*d**5 Expand -7*y**2 - 3*y**4 + 7*y**2 + (3*y - 2*y + 0*y + (6*y - y - 3*y)*(1 - 1 + 1))*(y**3 - y**3 - y**3). -6*y**4 Expand ((-3*g + 6*g - g)*(2 + 2*g - 2) + 2*g - 2*g - 3*g**2)*((3*g - g + 0*g)*(-4 + 0 + 5) - 2*g + 0*g + 3*g). 3*g**3 Expand (2 + 2*j - 2)*(4*j + 0*j - 3*j + (2*j + 2*j + j)*(-3 + 7 - 2)). 22*j**2 Expand (-3*s**3 + 6*s**3 - s**3)*(2 - 7 - 1). -12*s**3 Expand (-2*l**2 + 5*l**2 - 2*l**2)*(-2*l + 0*l + 0*l) + (-l**2 + 1 - 1)*(-49*l + 14 - 14). 47*l**3 Expand (0*y**3 + 2*y**3 + 0*y**3)*(9*y + 5*y - 7*y). 14*y**4 Expand (2*t - t + 0*t)*(-3 + 0 + 1) - 2 + 1 + t + 0. -t - 1 Expand -2*a**2 - a**3 + 2*a**2 + (-1 - 1 + 0)*(0*a**3 + 3*a**3 - a**3) + 5 - 5 - 7*a**3. -12*a**3 Expand (3*w**2 + 0*w**2 - 4*w**2)*(-3 + 0 + 1) + 3*w**2 + 12*w - 2*w**2 - 2*w. 3*w**2 + 10*w Expand -j**4 - j**4 + 4*j**4 + (j**4 - 3*j**4 + 0*j**4)*(2 + 2 - 1) - 4*j + 2*j**2 + 4*j + j**4. -3*j**4 + 2*j**2 Expand (-5*m**5 + 2*m**3 - 3*m**3 - m**3)*(2 - 2 - 1). 5*m**5 + 2*m**3 Expand (b**2 + 2*b**2 - 4*b**2)*(-3*b**2 + 3*b**2 - b**3) + 0*b**3 + b**5 + 0*b**3 + 12*b**5 + 5*b**5 - 27*b**5 + 3*b - 2*b**5 - 3*b. -10*b**5 Expand -96*r - 97*r + 15 + 186*r + (0 - 2 + 3)*(-r - 3*r + 5*r) + r - 4*r + r. -8*r + 15 Expand (4*d - 3*d + 4*d)*(2 - 3 + 2). 5*d Expand (3 - 3 + 2*d)*(2*d - 1 + 1) + d**2 + 1 + 0 - 3. 5*d**2 - 2 Expand 11*s**3 + 2*s - 11*s**3 - s**5 + (4 - 4 + 2*s**3)*(-s**2 + 5*s**2 - 2*s**2) + s**5 + s**5 - 3*s**5 + (-4*s**5 - 3*s**5 + 5*s**5)*(2 - 3 - 1). 6*s**5 + 2*s Expand -2*l**5 - l**5 + l**5 + (-4 - 1 + 6)*(0*l + 0*l - 2*l**5) + (-2*l**4 - 3*l**4 + 3*l**4)*(2*l - 2*l + 3*l). -10*l**5 Expand (-3*j + 3*j + j)*(2*j - 7*j + 3*j)*(-3*j**2 + 0*j + 0*j). 6*j**4 Expand (-2*u + u - 2*u)*(3*u**2 - u**2 - 4*u**2) + (-u + 0 + 0)*(-3*u**2 + u**2 + 3*u**2) + (-2*u + u - u)*(-2*u + u**2 + 2*u). 3*u**3 Expand (-2 + 4 - 4)*(-4*y - 29 + 29)*(2*y**2 + 2 - 2). 16*y**3 Expand (-2*f**5 + 2*f**5 + f**5)*(1 - 2 + 3) - 14*f**5 - 15*f**5 + 2*f**3 + 25*f**5. -2*f**5 + 2*f**3 Expand (0*a + 3*a - a)*(-1 + 10 - 2 + (0 - 3 + 4)*(1 - 3 + 0) + 0 - 1 + 3)*(-10*a - 6*a**2 + 10*a). -84*a**3 Expand 4*y**5 + 0*y**5 - 3*y**5 + y**5 + 3 - 3 + (0 - y**3 + 0)*(-3*y + 3*y - y**2) + 46*y**3 - 46*y**3 + 12*y**5. 15*y**5 Expand (-2*g**4 + g**4 - g**4)*(2*g + 0*g + g) + 2*g**5 - 2*g**5 - g**5. -7*g**5 Expand -s**3 + 3*s**2 - 3*s**2 + (-3 - 2*s + 3)*(4*s**2 + 4*s**2 - 2*s**2) + 4*s**3 - 3*s**3 + 0*s**3. -12*s**3 Expand -10*s**3 + 8*s**3 - 10*s**3 + 0*s**3 - 2*s**3 + 3*s**3 + (3 - s - 3)*(-s - s**2 + s). -10*s**3 Expand (-3*f**2 + 5*f**2 + 0*f**2 - 2*f**2 - 4*f**2 + 0*f**2 + (3*f - 2*f + 0*f)*(2*f + 3*f - 7*f))*(2*f**3 - f + f). -12*f**5 Expand (j - 3*j + 4*j)*(2 - 5 + 2) + 6*j - 2*j + 4*j + (-j - 1 + 1)*(2 - 3 + 0). 7*j Expand (-9 + 9 + 6*c)*(0 + c + 0 + (2 + 0 + 0)*(2*c + c - 5*c) - 4*c + c + 4*c + 3 + c - 3). -6*c**2 Expand -x**5 - 2*x**5 + 3*x**2 - x**2 + (-2*x - 2*x**2 + 2*x)*(-x**3 + 0*x**3 + 2*x**3). -5*x**5 + 2*x**2 Expand 2*z**4 - 3 - 98*z + 104*z + 4 + z**4 - 2*z**4 + 2*z**4 + 2*z**4 - 2*z**4 + z**4 + (z**2 + 0*z + 0*z)*(4*z**2 + z**2 - 3*z**2). 6*z**4 + 6*z + 1 Expand (3 + 2 + 0)*(-4 + 4 - k**2). -5*k**2 Expand (0 + 3*c**2 + 0)*(2 - 1 + 3)*(0 + 0 - 2). -24*c**2 Expand (2 + 1 + 0)*(4*f - 5*f + 0*f)*(-7*f**3 + 7*f**3 + 8*f**3). -24*f**4 Expand (4 - 2 - 4)*(4 + 1 - 3)*(-4*q - 4*q + 2*q). 24*q Expand (3 - 1 + 1)*(2 + 0 + 2)*(-2*p - p + 5*p). 24*p Expand 3*z - 5*z - z + (0 - 2*z + 0)*(2 - 3 + 2) - 2*z + 4*z - 4*z + z + 1 - 1. -6*z Expand 0 + 4*j - 2 - 19*j**2 + 21*j**2 + (2*j - 3*j + 0*j)*(-2*j + 3*j - 2*j). 3*j**2 + 4*j - 2 Expand 2*i**2 + i**2 + 2*i**2 - 2*i**2 + 2*i - 2*i +
{ "pile_set_name": "DM Mathematics" }
-204*q for q. 19 Solve -4455 + 4631 = -16*h for h. -11 Solve -235 = 57*a + 450*a - 1249 for a. 2 Solve 368 - 229 = 139*v for v. 1 Solve -165*x + 573 = -582 for x. 7 Solve 233 + 952 = 72*r + 177 for r. 14 Solve -101*n - 926 = 51*n + 594 for n. -10 Solve 88*q + 206 - 1158 = 20*q for q. 14 Solve 0 = -698*o + 35*o + 15912 for o. 24 Solve -143*g = -13976 + 15549 for g. -11 Solve 128*p - 71*p = -223 - 461 for p. -12 Solve 10*g - 5866 = -5866 for g. 0 Solve -117 = 93*o - 84*o for o. -13 Solve -7*f - 143*f + 168 - 1968 = 0 for f. -12 Solve -1819 = -92*v + 389 for v. 24 Solve -34*v + 96*v + 172 = -324 for v. -8 Solve 0 = -346*y - 352*y + 708*y - 180 for y. 18 Solve -238*c + 284*c - 644 = 0 for c. 14 Solve -338 - 264 + 74 = 88*j for j. -6 Solve 394*j + 200 = -588 for j. -2 Solve 0 = -33*r - 15*r - 30*r - 780 for r. -10 Solve -55*n + 3926 = 96*n for n. 26 Solve 730 + 1 = 849*k - 892*k for k. -17 Solve 22*w = -70 + 52 - 158 for w. -8 Solve -151*b = 28*b + 631 + 801 for b. -8 Solve 1872 = 106*w + 206*w for w. 6 Solve -232*r + 172 = -189*r for r. 4 Solve 0 = 74*c - 18*c - 31*c - 125 for c. 5 Solve 3*n = 11979 - 11997 for n. -6 Solve -38*i + 3409 - 2915 = 0 for i. 13 Solve 168*c - 252*c = 1596 for c. -19 Solve -110 = 97*z + 1054 for z. -12 Solve 88*m = 69*m - 228 for m. -12 Solve 51*c + 11*c + 6*c - 952 = 0 for c. 14 Solve 33*i + 73*i = 10*i + 768 for i. 8 Solve -1536 + 1116 = -28*a for a. 15 Solve 1918*a = 941*a + 946*a - 558 for a. -18 Solve 76*k + 79*k + 81*k = 242*k for k. 0 Solve 126 = 13242*d - 13293*d - 231 for d. -7 Solve -7*z = -9*z - 16*z + 18 for z. 1 Solve 61*w = -39*w - 1900 for w. -19 Solve -5039 = 282*k - 1373 for k. -13 Solve 1266*j = 1462*j - 196 for j. 1 Solve 47*y - 34*y + 1054 = -21*y for y. -31 Solve -25 = 9*k - 133 for k. 12 Solve -299*s + 184 + 758 = -1749 for s. 9 Solve -26*d + 1058 = 23*d - 3*d for d. 23 Solve -16*h = -21 + 12 - 103 for h. 7 Solve 428*r - 2534 = 66*r for r. 7 Solve 15*z = -205*z - 1320 for z. -6 Solve -3*a = 32*a - 99*a - 192 for a. -3 Solve 2*o = -10*o - 134 - 34 for o. -14 Solve -2235*w = -2232*w + 9 for w. -3 Solve 246*a - 596 - 2110 = 0 for a. 11 Solve 22*n = 5*n - 261*n - 3892 for n. -14 Solve 11*b - 35*b - 220 = -4*b for b. -11 Solve 1272*s + 598 - 6958 = 0 for s. 5 Solve 0 = 39*x + 3286 - 2935 for x. -9 Solve -24*w + 2225 = 2105 for w. 5 Solve 65*o - 31*o = 23*o + 198 for o. 18 Solve -146*z + 10*z - 5874 = 42*z for z. -33 Solve 2784 = 170*t + 1167 - 933 for t. 15 Solve -13 = 32*x + 19 for x. -1 Solve 359*w - 130*w = 121*w + 124*w for w. 0 Solve 134*m + 160 = 142*m for m. 20 Solve -56*l = -52*l - 16 for l. 4 Solve 0 = -294*m + 260*m + 782 for m. 23 Solve 8450 = 13093*l - 12443*l for l. 13 Solve 161*j - 2193 = -744 for j. 9 Solve -206 = 29*a + 113 for a. -11 Solve 0 = 91*r + 105*r - 4227 - 477 for r. 24 Solve 1795*b - 1817*b + 22 = 0 for b. 1 Solve 14 = -10*d - 15 - 21 for d. -5 Solve 4*f + 64 + 134 = -2*f for f. -33 Solve -21*m + 4*m - 8*m + 250 = 0 for m. 10 Solve -872 = -428*c - 1868 + 5704 for c. 11 Solve 0 = -10*t + 3733 - 3673 for t. 6 Solve 62*z - 628 + 412 = 528 for z. 12 Solve 4647 = -388*t + 472 - 1645 for t. -15 Solve -85*d = 105 - 105 for d. 0 Solve 745*t = 722*t + 207 for t. 9 Solve 71*d + 223*d + 300 = -6*d for d. -1 Solve 449 - 1075 + 491 = -9*n for n. 15 Solve -10*q = -496756 + 496686 for q. 7 Solve 121*c - 127*c = 34 - 106 for c. 12 Solve 63446 = -43*j - 7*j + 63146 for j. -6 Solve -7*c - 174653 = -174499 for c. -22 Solve -2312 = 106*m + 369*m + 8613 for m. -23 Solve -6241 = -83*s - 9146 for s. -35 Solve 7774 + 617 = -472*g - 8129 for g. -35 Solve -35*q + 1137 - 227 = -175 for q. 31 Solve -366*v + 39*v - 59*v = -2702 for v. 7 Solve -36*y - 161 = -600 - 245 for y. 19 Solve 189*g - 7718 = -4127 for g. 19 Solve -1174*j + 3945 = 23066 - 337 for j. -16 Solve -17*c + 22*c + 324 = -13*c for c. -18 Solve 1154*b = 1134*b + 400 for b. 20 Solve 0 = -30*q + 92*q + 47 - 915 for q. 14 Solve 30*j + 379 + 149 - 78 = 0 for j. -15 Solve 666*c - 679*c = -169 for c. 13 Solve 0 = 98*u + 95*u + 2895 for u. -15 Solve -891*p + 49 = -872*p + 296 for p. -13 Solve 0 = 35*w - 12 + 222 for w. -6 Solve -174*c + 19*c + 4302 = 84*c for c. 18 Solve -558*k = -489*k + 1242 for k. -18 Solve -70*x - 73*x = -143 for x. 1 Solve 0 = 773*j - 1023*j - 2250 for j. -9 Solve -69*d + 55*d - 1239 = -73*d for d. 21 Solve -137*q + 749*q = -12240 for q. -20 Solve 877*o - 6665 = 662*o for o. 31 Solve -203 + 51 - 184 = -56*v for v. 6 Solve 20*m - 21759 + 22179 = 0 for m. -21 Solve -46*r - 887 + 2029 = 636 for r. 11 Solve -2310 = -47*p - 2921 for p. -13 Solve -8 = -45*j + 5 - 13 for j. 0 Solve 33*t + 880 = 121*t for t. 10 Solve 94*i + 175*i + 4141 = -1239 for i. -20 Solve 0 = 264*j - 4756 - 260 for j. 19 Solve 187*q + 103*q = -4*q + 2646 for q. 9 Solve -8280 = -148*h - 169*h - 28*h for h. 24 Solve -328 - 123 = -92*t + 469 for t. 10 Solve 442 = 378*c - 141*c + 5182 for c. -20 Solve -7*c - 62*c + 35*c = 408 for c. -12 Solve 23*l + 1385 = 1799 for l. 18 Solve 36 = -14*x - 8*x - 96 for x. -6 Solve -2470 = -120*z + 295 - 125 for z. 22 Solve 36*f + 1364 = 19*f - 107*f for f. -11 Solve 0 = -62*n - 60091 + 61703 for n. 26 Solve 0 = 775*h - 757*h - 216 for h. 12 Solve 0 = -17*x + 521 - 368 for x. 9 Solve f - 45 = -51 for f. -6 Solve 0 = 786*z + 436*z - 30550 for z. 25 Solve 617 = 497*n - 116 - 261 for n. 2 Solve -44 + 11 = 33*x for x. -1 Solve 13*q + 81 = 35*q - 535 for q. 28 Solve -361*z - 124*z - 16005 = 0 for z. -33 Solve 15*c + 1008 = -57*c + 44*c for c. -36 Solve 0 = 71*j + 874 - 164 for j. -10 Solve 79*a = -1015 - 328 for a. -17 Solve 629 = 206*s - 3079 for s. 18 Solve 4 + 8 = 151*y - 163*y for y. -1 Solve 59*d + 320 = -15*d + 10*d for d. -5 Solve -91*q - 6609 = -8065 for q. 16 Solve 49*m + 2535 - 2143 = 0 for m. -8 Solve -21*x - 25 + 11 = 322 for x. -16 Solve -49*j = -36*j + 107*j - 840 for j. 7 Solve 6 - 16 = -m - 2 for m. 8 Solve -77*u - 39*u = -1276 for u. 11 Solve -4698*y = -4752*y - 594 for y. -11 Solve -3*r + 3018 = 221*r + 11754 for r. -39 Solve -45*g + 5*g + 560 = 0 for g. 14 Solve -18 = -120*v - 145 + 1327 for v. 10 Solve -48*u - 89 + 504 = -161 for u. 12 Solve 77*b - 368 = 33*b + 228*b for b. -2 Solve 0 = -25*x - 27*x - 16 + 588 for x. 11 Solve 1601*a - 14 = 1594*a for a. 2 Solve 312*n = -130*n + 23 + 3071 for n. 7 Solve 25*o = 1695 - 1670 for o. 1 Solve 13*g + 12 + 55 = -37 for g. -8 Solve 14*z + 10*z - 192 = 0 for z. 8 Solve 0 = 9*b + 117 - 27 for b. -10 Solve 0 = -126*a - 110 + 362 for a. 2 Solve 243*g - 202*g = 246 for g. 6 Solve 203*i - 309*i - 530 = 0 for i. -5 Solve -37*t - 37 + 4 = 41 for t. -2 Solve -318 + 1239 = 47*c - 583 for c. 32 Solve 221*d - 1858 = 118*d - 622 for d. 12 Solve 0 = -8*w + 46*w + 228 for w. -6 Solve -44*j = -65*j + 35*j - 168 for j. 12 Solve -62*p = -14*p + 240 for p. -5 Solve 48*y + 2048 = -80*y for y. -16 Solve 64*h = 366*h + 5738 for h. -19 Solve -73*f = -36*f - 40*f - 66 for f. -22 Solve -30*d + 26440 = 25570 for d. 29 Solve -927*h + 933*h - 2 = 4 for h. 1 Solve 577 = -7*t + 528 for t. -7 Solve 1923 = -293*n + 7490 for n. 19 Solve 21*k = k - 10743 + 10503 for k. -12 Solve -12*g = 39*g + 2*g + 1431 for g. -27 Solve 25*i + 232 + 217 = 99 for i. -14 Solve -22*a + 101 = -24 - 7 for a. 6 Solve -384*a + 522*a = 0 for a. 0 Solve -3*h + 21*h - 111 + 147 = 0 for h. -2 Solve -352*g + 7998 + 2210 = 0 for g. 29 Solve -126*q + 98 = -112*q for q. 7 Solve -474 = -52*u - 412 + 718 for u. 15 Solve -7488 = -2962*m + 3196*m for m. -32 Solve 291*r = -732*r for r. 0 Solve -9730 = -43*r - 235*r for r. 35 Solve 147*u - 1416 = 201 for u. 11 Solve 52*b + 4*b = -38*b + 16*b for b. 0 Solve -48 = -u + 3*u + 6*u for u. -6 Solve 3960 + 705 = 422*l - 399 for l. 12 Solve 696*n + 3846 = -3665 - 9193 for n. -24 Solve -24*o + 29*o + 31*o - 540 = 0 for o. 15 Solve -346*c + 872*c - 234 = 292 for c. 1 Solve -132*f - 176 = -430*f - 1368 for f. -4 Solve 263*r + 763 - 3432 = 3380 for r. 23 Solve 102*u + 10854 - 9120 = 0 for u. -17 Solve 2181*b = 2422*b - 5302 for b. 22 Solve -10*r = -76*r + 492 + 36 for r. 8 Solve 12*g + 42 - 8 = -14 for g. -4 Solve 145*r = 135*r - 80 for r. -8 Solve -10*i = -319 + 129 - 80 for i. 27 Solve 4685*z - 4665*z - 209 = 271 for z. 24 Solve 135*z + 38 = 154*z for z. 2 Solve -53*z = 1565301 - 1563446 for z. -35 Solve
{ "pile_set_name": "DM Mathematics" }
to the nearest 100000? 700000 Let t = -684661129412 + 684658363938.00051. Let z = 2765419 + t. Let s = 55 + z. What is s rounded to 4 decimal places? 0.0005 Let o = -16.9080011831 + 16.908. What is o rounded to seven decimal places? -0.0000012 Let p = 0.23 + -0.18. Let h = 0.14 - p. Let v = 0.08957 - h. What is v rounded to four decimal places? -0.0004 Suppose c = -5, 0 = k - 3*k - 3*c - 3240015. Round k to the nearest one million. -2000000 Suppose 0 = -2*g - 3*g - 24745. Let o = -3249 - g. Round o to the nearest 1000. 2000 Let f = 52166096 - 52166124.0000056. Let u = f + 28. What is u rounded to 6 decimal places? -0.000006 Let r(n) = -n**2 + 16*n + 3. Let i be r(16). Suppose -2*s = -3*c - 137396, 2*c - i*c - s = 45802. What is c rounded to the nearest 10000? -50000 Let b(z) = -z**3 - 12*z**2 - 11*z + 15. Let w be b(-11). Suppose -14*d + w = -13*d. Let t = d + -34. Round t to the nearest ten. -20 Let b(u) = -319999*u**3 + 4*u**2 - 5*u. Suppose -14 = 5*x + 11. Let s be b(x). Suppose 2*c - 4*c + s = 0. What is c rounded to the nearest one million? 20000000 Let x = 4347720978 - 4347721177.0000209. Let d = 199 + x. What is d rounded to 6 decimal places? -0.000021 Let g = 373787.16418582 + -374274.16419. Let w = g + 487. Round w to six decimal places. -0.000004 Let f = -45.3275 + 45.2. Round f to 3 decimal places. -0.128 Let h = -253.4 + 305. What is h rounded to the nearest 10? 50 Let t be (-2808)/42*(18 + -4). What is t rounded to the nearest one hundred? -900 Let f = -31.3 - -34. Let c = -2.565 + f. What is c rounded to two dps? 0.14 Let u be (-47)/94*0*(-2)/4. What is u rounded to seven dps? 0 Let a = -444.64 - -447. What is a rounded to zero decimal places? 2 Let f = -22.6 + 3.6. Let p = -26 - f. Let a = p - -7.22. Round a to 2 decimal places. 0.22 Let i = -0.173 + 0.572. Let n = 0.132 + i. What is n rounded to two dps? 0.53 Let y = -728.99999397 - -729. Round y to 6 dps. 0.000006 Let v(p) = -92*p**2 - 38*p - 40. Let g be v(20). Round g to the nearest ten thousand. -40000 Let g = 5.62 - -1.28. Let d = -4.2 - g. Let s = -11.1099 - d. Round s to three dps. -0.01 Let y = -64485.97 - -64072. Let s = -412 - y. Let q = -2.3 + s. Round q to one dp. -0.3 Let x = -1148605.99931 + 1148580. Let l = -28 - -2. Let t = x - l. What is t rounded to 4 decimal places? 0.0007 Let b = -37 + 48. Suppose -b*o - 1310 = -6*o. Round o to the nearest ten. -260 Let h = -76 - -76.7008. Let b = 68.7 + -68. Let q = h - b. Round q to 4 dps. 0.0008 Let r = -24746950.89479 + 24886579.978. Let d = -139635 + r. Let u = d - -5.92. Round u to four decimal places. 0.0032 Let w = 29967 + -29805.17. Let q = -163 + w. What is q rounded to one decimal place? -1.2 Let v = -747.99928 - -748. Round v to four dps. 0.0007 Let u(t) = -29232*t - 52. Let j be u(-11). What is j rounded to the nearest 10000? 320000 Suppose 5*v = 2*v. Suppose -4 = 4*y - v. Let r be y/2 + (-13211)/(-22). What is r rounded to the nearest 1000? 1000 Let i = -0.00553 + -541.59447. Round i to the nearest one hundred. -500 Let b(i) = 11*i - 3 - 4 - 618*i**3 + 9*i**2 - 3 - 4883*i**3. Let z(a) = -3*a - 8. Let q be z(-6). Let f be b(q). Round f to the nearest 1000000. -6000000 Let g = -98 + 74. Let l be 1/((-6)/g) - -1616. What is l rounded to the nearest one hundred? 1600 Let r be 25*(0 - 6/(-15)). Let p(v) = r - 27 + 12 + 514001*v. Let l be p(5). What is l rounded to the nearest 100000? 2600000 Let h = 0.2 - -2.3. Let g = 2.5005 - h. Round g to 3 dps. 0.001 Let g(q) = q**2 - 4*q + 10. Let u be g(3). Let r(t) = -u - 28 - 16*t + 13. Let o be r(-12). Round o to the nearest 100. 200 Let f be (9 - 12)/(2/(-10)). Suppose -2*j + 4*y = -y - 73, 5*y + f = 0. Round j to the nearest ten. 30 Suppose -16 = -q + 4*s, 19 = 4*q - 2*s - 45. Let z be q/12*-5*1320. What is z rounded to the nearest 1000? -9000 Let u(b) = 0 + 7 + 763*b - 80*b + 12. Let q be u(7). Round q to the nearest one thousand. 5000 Suppose -10*l + 55168 = 321668. Round l to the nearest 1000. -27000 Let t(v) = -2*v. Let z be t(-2). Suppose 5300000 = -z*m + 9*m. Round m to the nearest one hundred thousand. 1100000 Let d = 748.999999219 - 749. What is d rounded to 7 dps? -0.0000008 Let u = 1105 + -1104.99389. Round u to three decimal places. 0.006 Let b(y) = -46*y + 38*y**2 + 13 + 13 + 22*y**2 - 18. Let j be b(-12). Round j to the nearest 1000. 9000 Let z = -507.19 + 510. Round z to 1 decimal place. 2.8 Let d = 0 - 133. Let r = 133.00104 + d. Round r to four decimal places. 0.001 Let p = -60.4 + 57.83. Let x = -0.0158739 + -2.5520961. Let z = x - p. What is z rounded to four decimal places? 0.002 Let x(o) be the first derivative of -3*o**2 + 5*o + 37601/4*o**4 - 4/3*o**3 + 3. Let l be x(5). What is l rounded to the nearest one million? 5000000 Let l = -3165 + 2681.6. What is l rounded to the nearest 100? -500 Let u(z) = z**3 + 10*z**2 + 13. Let l be u(-10). Let y = l - 13. Suppose y = -d - 0*d - 8900. Round d to the nearest one thousand. -9000 Let f = -2.2645 + -0.0055. Let g = -0.06 - 1.94. Let j = f - g. Round j to 1 dp. -0.3 Let p = -0.36 + 31.76. Let r = -28.933 - 0.067. Let m = r + p. Round m to the nearest integer. 2 Let f = 26103533 - 52593533. Round f to the nearest one million. -26000000 Suppose 7679 = -168*t + 175*t. Round t to the nearest one hundred. 1100 Let a = -1122.2 + 1130. What is a rounded to 1 dp? 7.8 Let d = 1109 - 1109.0003912. Round d to five dps. -0.00039 Let n(w) = w**3 - 8*w**2 + 2*w + 4. Suppose -6*k + 4*k = -16. Let u be n(k). Let o = 67 + u. Round o to the nearest 10. 90 Let s = -0.02248 - -0.027481. What is s rounded to four dps? 0.005 Suppose 0 = -5*i - 6 + 21. Suppose 2*m = -3*d + i, -d - 2*d = 3*m. Suppose -20100012 = o - 2*o - d*z, -o - z = -20100004. Round o to the nearest one million. 20000000 Let y = 1245.9397 - 1246. What is y rounded to 1 decimal place? -0.1 Let t = -0.07231 + -3.84869. Round t to the nearest integer. -4 Let d = 46 + 53. Let a = d - 99.028. Round a to 2 dps. -0.03 Let o = 55.5 + -89. Let x = 82 + o. Round x to the nearest 10. 50 Let v = 29 + -29.05. Let p = -9.19166994 + 9.24167. Let k = p + v. Round k to seven decimal places. 0.0000001 Let r = 203 - 175.885. Let h = 29 - 2. Let f = r - h. What is f rounded to 2 dps? 0.12 Let f = -45 - -44. Let s be (-529055 - -53) + (0 - (f + -1)). What is s rounded to the nearest ten thousand? -530000 Let k = 402.86 + -409. Let s = k + 0.14. Let y = s + 5.9995. What is y rounded to three dps? -0.001 Let w = -23.18112 + 23.2. What is w rounded to 3 decimal places? 0.019 Let t = 66995619.0000068 + -66995635. Let w = 38 - 22. Let x = t + w. Round x to six dps. 0.000007 Suppose -3*f = 5 - 17. Suppose -f*d + x + 719 = -1079, 1352 = 3*d + x. Suppose 4*v - d = -v. Round v to the nearest 10. 90 Let z = 103.5 - 364.9. Round z to the nearest one hundred. -300 Let o = 76 - 41. Suppose 0*l - u = -l + 10, -3*u - o = -4*l. Suppose 0 = 3*y + 3*c + 38988, 64996 = -l*y - 2*c + c. Round y to the nearest ten thousand. -10000 Let j = -384553805088989718 + 384553808337610402.00000031. Let k = j - 3248620701. Let d = k + 17. What is d rounded to 7 decimal places? 0.0000003 Let b = -11.2 - -11. Let x = b - -0.20000495. Round x to six decimal places. 0.000005 Let z be 48/(-30) + 2 - 26/(-10). Suppose 5*t = -z*x - 213300020, -5*t + 284399980 = -8*x + 4*x. What is x rounded to the nearest one million? -71000000 Let s = 228.9999962 + -229. Round s to six dps. -0.000004 Suppose 5*k + 0*k = -9767235. Let s = k + 7703447. What is s rounded to the nearest one million? 6000000 Let m be -4 + 1/((-1)/(-8)). Let c(t) = -5 - 1 + m - 8334*t - 2. Let o be c(-6). What is o rounded to the nearest ten thousand? 50000 Let p = 1080.00639 + -1080. What is p rounded to three decimal places? 0.006 Let q = -38687 - -38844.893. Let n = q + 0.107. Let m = n + -158.000073. What is m rounded to 5 dps? -0.00007 Let y = -30 - 146. Let h = -545 - y. Let p = 393.9 + h. What is p rounded to the nearest integer? 25 Let r = -0.0619 - 73.4781. Let h = r - -74. What is h rounded to two decimal places? 0.46 Let h = 177310 - 177324.9974. Let v = 14 + -29. Let p = v - h. What is p rounded to 3 dps? -0.003 Let q = -236 + 544. Let w = q + -308.187. Let a = w - 1.143. What is a rounded to one decimal place? -1.3 Let a = -0.217725 - 1.7823
{ "pile_set_name": "DM Mathematics" }
c. -7 Solve -37*f + 9 = -40*f for f. -3 Solve 1 = 17*o - 16*o for o. 1 Solve -28*y - 14*y = -168 for y. 4 Solve -32*q - 134 = 186 for q. -10 Solve -4 = -62*r + 61*r for r. 4 Solve 0 = 5*v - v for v. 0 Solve 18*a = -6 + 78 for a. 4 Solve 2519*q = 2531*q - 84 for q. 7 Solve 0 = -7*o - o - o for o. 0 Solve 327*r = 317*r for r. 0 Solve 3*w + 4 = -w for w. -1 Solve 0 = -20*x + 29 + 11 for x. 2 Solve -82 = -21*p + 23 for p. 5 Solve -2*f - 5 = -3*f for f. 5 Solve -111*f = -42*f - 207 for f. 3 Solve -7*l - 7 + 0 = 0 for l. -1 Solve 9 = 4*a + 1 for a. 2 Solve 0 = 5*r - 247 + 242 for r. 1 Solve -1303*q + 56 = -1295*q for q. 7 Solve -26*a = -18*a - 40 for a. 5 Solve -27*p - 25 = 29 for p. -2 Solve -126*n = -130*n + 4 for n. 1 Solve 15*d + 13 = 88 for d. 5 Solve 61 = 5*h + 51 for h. 2 Solve 0 = 2*g - 33 + 41 for g. -4 Solve 21*j = 24*j + 18 for j. -6 Solve 6*f - 572 + 554 = 0 for f. 3 Solve -45*i = -41 - 4 for i. 1 Solve -2*i - 7 = 1 for i. -4 Solve 4*a + 0 = -0 for a. 0 Solve 7*s = 12 + 16 for s. 4 Solve 6*l = -32 + 14 for l. -3 Solve 0 = -9*u + 5*u - 4 for u. -1 Solve -z - 146 + 140 = 0 for z. -6 Solve 3*q + 1 + 8 = 0 for q. -3 Solve -64*h + 41*h = -161 for h. 7 Solve 56 - 68 = -2*a for a. 6 Solve -745 = -9*f - 727 for f. 2 Solve -128 = -9*f - 92 for f. 4 Solve 10*n + 11 = 11 for n. 0 Solve -6*q + 5 = -7 for q. 2 Solve -2*q = 18 - 26 for q. 4 Solve -18*q - 688 = -544 for q. -8 Solve 2*g = 6*g - 20 for g. 5 Solve -60*q + 68*q = 40 for q. 5 Solve 0 = -6*f - 23 - 1 for f. -4 Solve -3*f - 2 = 10 for f. -4 Solve 73*l + 109 = -183 for l. -4 Solve 0 = -6*p - 668 + 704 for p. 6 Solve 4*v + 19 - 11 = 0 for v. -2 Solve 90*h - 2*h - 88 = 0 for h. 1 Solve 2*g = -144*g + 876 for g. 6 Solve 58*o - 60*o + 14 = 0 for o. 7 Solve -26*o + 23*o + 15 = 0 for o. 5 Solve k + 24 = 16 for k. -8 Solve -6 = -6*k - 36 for k. -5 Solve 34*v - 55 = 115 for v. 5 Solve 33*a - 72 = 45*a for a. -6 Solve 9*o = o - 32 for o. -4 Solve 34*n + 152 = -4*n for n. -4 Solve -7*c + 16 = -12 for c. 4 Solve 2*o - o + 4 = 0 for o. -4 Solve -14 = 2*u - 6 for u. -4 Solve -16 = -14*f + 12 for f. 2 Solve x - 1 = -4 for x. -3 Solve -53 = -21*t + 31 for t. 4 Solve -78*v + 90*v = 12 for v. 1 Solve 36 = -14*n - 20 for n. -4 Solve 21*b - 32 = 13*b for b. 4 Solve 148*t = -851 - 185 for t. -7 Solve 0 = f - 27 + 31 for f. -4 Solve 20*m - 12 - 8 = 0 for m. 1 Solve 3*s - 4*s + 1 = 0 for s. 1 Solve 19*p - 51 = 63 for p. 6 Solve 107*k - 198 = 74*k for k. 6 Solve 14*w + 74*w = 528 for w. 6 Solve 24 + 12 = 9*q for q. 4 Solve 443 = 3*t + 455 for t. -4 Solve 36*z - 7 = -43 for z. -1 Solve 207 - 237 = -15*y for y. 2 Solve 8*t = 11*t - 6 for t. 2 Solve 36*t = 21*t - 45 for t. -3 Solve -6*s + 136 = 166 for s. -5 Solve 10*h = 28 + 12 for h. 4 Solve 0 = -5*q + 9*q - 4 for q. 1 Solve 1039*q - 1048*q = 27 for q. -3 Solve -14*g + 28*g = -98 for g. -7 Solve 0*s = 6*s - 18 for s. 3 Solve 6*v = -3*v + 4*v for v. 0 Solve 0 = -24*t + 20*t for t. 0 Solve 2 - 8 = 3*k for k. -2 Solve -18 + 18 = n for n. 0 Solve 38*n = 41*n + 6 for n. -2 Solve 39*b - 51 = 27 for b. 2 Solve 5*a + 0*a = -25 for a. -5 Solve -10*a + 72 = -46*a for a. -2 Solve -10*g + 8*g - 10 = 0 for g. -5 Solve 11*t - 1042 + 1053 = 0 for t. -1 Solve 2*i = -31 + 29 for i. -1 Solve 3*t - 6 = 9 for t. 5 Solve 0 = 54*q - 72*q + 108 for q. 6 Solve -6*u + 8 - 20 = 0 for u. -2 Solve 18 = 2*r + 20 for r. -1 Solve 0 = -4*z + 8*z for z. 0 Solve 4*a - 5*a - 4 = 0 for a. -4 Solve 31 = 4*x + 39 for x. -2 Solve 0 = 33*s - 39*s - 18 for s. -3 Solve 33*b + 7*b + 120 = 0 for b. -3 Solve 5*w = -21 - 4 for w. -5 Solve -15*j = -16*j - 1 for j. -1 Solve -26*w + 52*w = 52 for w. 2 Solve -20*d + 7 = -33 for d. 2 Solve -17*p = -139 + 54 for p. 5 Solve 8 = 44*r + 52 for r. -1 Solve 0 = -9*b - 42 + 6 for b. -4 Solve 4*u + 24 = 8*u for u. 6 Solve 17*n = 16*n + 7 for n. 7 Solve 6 = -f + 7*f for f. 1 Solve 20*d = 21*d + 1 for d. -1 Solve -67 + 59 = 4*p for p. -2 Solve -6*r - 4 = 14 for r. -3 Solve 0 = -34*a + 11 - 45 for a. -1 Solve -9*z - 21 = -6*z for z. -7 Solve 3962*w = 3947*w - 150 for w. -10 Solve -2*x = 5*x + 46*x for x. 0 Solve 5 = 7*s - 23 for s. 4 Solve 0 = -243*g + 247*g for g. 0 Solve -3*a - 64*a - 335 = 0 for a. -5 Solve 12*w + 4*w - 15*w = 0 for w. 0 Solve -3 = 5*z - 8*z for z. 1 Solve 0 = -5*g + 2*g for g. 0 Solve -29 + 9 = -5*g for g. 4 Solve -76*u - 24 + 24 = 0 for u. 0 Solve 1 + 11 = -3*r for r. -4 Solve -9*o + 13*o = 16 for o. 4 Solve -11 = 9*r - 47 for r. 4 Solve 44 - 88 = -4*s for s. 11 Solve -2*m = -3*m - 1 for m. -1 Solve w - 9 = -14 for w. -5 Solve 0 = -22*g + 27*g - 5 for g. 1 Solve 0 = -26*g + 21*g + 15 for g. 3 Solve 4*c + 8 = 2*c for c. -4 Solve -254*c - 10 = -264*c for c. 1 Solve 8*p = 7*p - 5 for p. -5 Solve 7*s + 17 = -18 for s. -5 Solve 129*h - 178*h + 294 = 0 for h. 6 Solve -92 = 15*l - 47 for l. -3 Solve 0*f + 3*f + 6 = 0 for f. -2 Solve 3*i - 162 = -144 for i. 6 Solve 13*r - 4 = 12*r for r. 4 Solve 0 = -9*h - 2808 + 2763 for h. -5 Solve -69*f = -96*f for f. 0 Solve 57 - 29 = -4*j for j. -7 Solve 0 = 14*o - 26*o + 36 for o. 3 Solve 72 = 5*a - 17*a for a. -6 Solve -5*k = -27*k + 110 for k. 5 Solve -10*l + 0*l + 10 = 0 for l. 1 Solve -9*w + 71 = 26 for w. 5 Solve 0 = -48*f + 54*f + 18 for f. -3 Solve -3 - 3 = 6*r for r. -1 Solve 94*y - 4 = 98*y for y. -1 Solve -u + 4 = -1 for u. 5 Solve 0 = -45*g + 58*g + 65 for g. -5 Solve -26*h + 25*h + 3 = 0 for h. 3 Solve 2*q - 9*q + 7 = 0 for q. 1 Solve -2*v = -2 - 6 for v. 4 Solve -2*o = 2217 - 2199 for o. -9 Solve -8*c + 6*c - 6 = 0 for c. -3 Solve -49*v = -28*v - 84 for v. 4 Solve 18 - 14 = -d for d. -4 Solve -3*d + 18 = 6 for d. 4 Solve -4*n + 11*n - 21 = 0 for n. 3 Solve -2*f + 7 - 11 = 0 for f. -2 Solve 18*n + 154 = 100 for n. -3 Solve -6*a = -18*a - 72 for a. -6 Solve 0 = -9*w - 24 + 69 for w. 5 Solve -12*f = -20 - 4 for f. 2 Solve -107*s + 251 - 786 = 0 for s. -5 Solve -156 = -56*c + 68 for c. 4 Solve 3*j + 47 = 62 for j. 5 Solve 6*y = 3*y - 9 for y. -3 Solve -27*y + 10 + 17 = 0 for y. 1 Solve -3*h - 1 - 11 = 0 for h. -4 Solve -28 = -18*q + 44 for q. 4 Solve -4*h + 5*h - 1 = 0 for h. 1 Solve 36 = -38*q + 188 for q. 4 Solve 112*i - 116*i = -8 for i. 2 Solve 2*g + 9 = 15 for g. 3 Solve -14*w + 30*w - 32 = 0 for w. 2 Solve -13 = -11*m - 79 for m. -6 Solve 88*o = -13*o for o. 0 Solve 2*x = -10*x + 3*x for x. 0 Solve 0 = 24*w - 71*w + 329 for w. 7 Solve -184*p + 15 = -187*p for p. -5 Solve -33*c - 15 + 81 = 0 for c. 2 Solve -122*j + 135*j - 39 = 0 for j. 3 Solve 6 = 5*i - 4 for i. 2 Solve 57*r - 62*r - 50 = 0 for r. -10 Solve -161 = 11*z + 12*z for z. -7 Solve -71 + 71 = 7*l for l. 0 Solve -2*h - 17*h = -114 for h. 6 Solve -197 + 709 = -128*p for p. -4 Solve 21*b + 56*b - 308 = 0 for b. 4 Solve 0 = 144*u - 149*u - 15 for u. -3 Solve -277 - 113 = 65*k for k. -6 Solve 7*c - 111 = -97 for c. 2 Solve 610 - 150 = 92*a for a. 5 Solve -5*y = -7*y - y for y. 0 Solve -n - 10*n - n = 0 for n. 0 Solve -4*t = 7 - 23 for t. 4 Solve 0 = -3*v + v + 10 for v. 5 Solve 5*s - 16 + 31 = 0 for s. -3 Solve -5*d - 24 + 4 = 0 for d. -4 Solve -30 = -202*q + 207*q for q. -6 Solve 3*i + 0 = 9 for i. 3 Solve 72 = -6*v + 84 for v. 2 Solve g - 70 = -13*g for g. 5 Solve -12*m + 39*m = 108 for m. 4 Solve 38 = -5*f + 43 for f. 1 Solve -17*f = 15*f - 224 for f. 7 Solve 57*d = 22*d for d. 0 Solve 0 = -4*k - 1566 + 1570 for k. 1 Solve 2*s - 25 = -3*s for s. 5 Solve 0 = -6*a + 75 - 57 for a. 3 Solve -16*s + 12*s = 12 for s. -3 Solve 4*l = 103 - 131 for l. -7 Solve -625*z - 4 = -621*z for z. -1 Solve 68*n = 99*n - 155 for n. 5 Solve 4*x + 79 - 123 = 0 for x. 11 Solve 9*w + 2*w = -66 for w. -6 Solve 0 = 19*i + 40*i - 236 for i. 4 Solve 0 = -13*u - 7*u for u. 0 Solve 306 = -58*d - 42 for d. -6 Solve -234*i - 72 = -242*i for i. 9 Solve -11*g + 5*g = -7*g for g. 0 Solve -12*z + 44 - 140 = 0 for z. -8 Solve 9*f = 8*f - 5 for f. -5 Solve 25 = -m + 23 for m. -2 Solve -b = -5*b - 8 for b. -2 Solve 0 = 23*m + 16*m + 78 for m. -2 Solve 6*q - 640 + 646 = 0 for q. -1 Solve 0 = -4*w - 14 - 6 for w. -5 Solve 7 + 35 = 7*j for j. 6 Solve -12 + 0 = -3*w for w. 4 Solve 10*l + 3 = 9*l for l. -3 Solve -154*i = -149*i - 5 for i. 1 Solve -1 = 3*r - 10 for r. 3 Solve 6*f = 9*f for f. 0 Solve 13 = -2*v + 3 for v. -5 Solve -40*j = -121 + 1 for j. 3 Solve 44 = 206*d - 195*d for d. 4 Sol
{ "pile_set_name": "DM Mathematics" }
- 11. Calculate l*s(j) - 6*n(j). j**3 - 3*j**2 - j - 2 Let q(j) = 2*j**3 + 16*j + 1282. Let z(x) = x**3 + 5*x + 422. What is 2*q(u) - 7*z(u)? -3*u**3 - 3*u - 390 Let a(p) = 1170*p - 1. Let h(x) = 11711*x - 11. What is -21*a(t) + 2*h(t)? -1148*t - 1 Let m(z) = -6*z + 5. Let o(c) be the third derivative of 0 + 4*c**2 + 1/3*c**3 + 0*c - 1/8*c**4. Suppose -70*f + 69*f - 7 = 0. What is f*o(k) + 3*m(k)? 3*k + 1 Let c(i) be the first derivative of i**2 - 3*i + 36. Suppose -53 = 11*v - 9. Let t(b) = -b + 2. Let w = 26 - 29. Calculate v*t(z) + w*c(z). -2*z + 1 Let d(a) = a**2 + 4*a + 3. Suppose 227 = -3*l + 245. Suppose 4*u - l*u + 8 = 0. Let p(h) = h**2 + 5*h + 4. What is u*d(o) - 3*p(o)? o**2 + o Let z(r) = 23*r + 2. Let g(o) = -6 + 15 - 828*o + 920*o. Give -2*g(x) + 9*z(x). 23*x Let s(c) be the first derivative of c**3 - 6*c**2 + 4*c - 11842. Let g(x) = -13*x**2 + 48*x - 17. Give 2*g(d) + 9*s(d). d**2 - 12*d + 2 Let t(d) = d**3 + 5*d**2 + 2*d + 1. Let f(m) = -1647*m**3 - 180*m**2 - 72*m - 36. Give f(l) + 36*t(l). -1611*l**3 Let z(g) = -49095*g**2 - 125*g - 125. Let b(w) = 2338*w**2 + 6*w + 6. Calculate -125*b(t) - 6*z(t). 2320*t**2 Let b(l) = 58. Let w(j) = 11. Let i(y) = -b(y) + 5*w(y). Let u(v) = -v**2 - 2. Suppose 0 = -4*m + m. Let x be 2 + 3/(-6)*m. Calculate x*i(z) - 3*u(z). 3*z**2 Let k(n) = 34*n**2 - 20*n - 28. Let w(d) = 68*d**2 - 43*d - 60. Calculate 13*k(m) - 6*w(m). 34*m**2 - 2*m - 4 Let o(l) = -13*l**3 - 12*l - 8. Let m(i) = -i**3 - 1. Give -6*m(r) + o(r). -7*r**3 - 12*r - 2 Let i(u) = -33*u - 8. Suppose 105*s - 33*s - 22 = -670. Let o(p) = 8*p + 2. What is s*o(z) - 2*i(z)? -6*z - 2 Let b(c) = 535*c + 14. Let d(v) = 264*v + 8. What is 5*b(i) - 9*d(i)? 299*i - 2 Let h(m) = -14*m**2 - 5*m - 264. Let v(y) = -3*y**2 - y + 3. Determine -h(z) + 4*v(z). 2*z**2 + z + 276 Let z(f) = -f + 1. Suppose -103*q + 99*q - x = 2, 27 = -3*q - 5*x. Let u(i) = -3*i + 20. Calculate q*u(h) - 6*z(h). 3*h + 14 Let o = 2 - -1. Let j = -4 + o. Let c(t) = t - 1. Let z(l) = l**2. Let v(p) = -3*p**3 - 12*p**2 + 6*p - 6. Let f(h) = v(h) + 10*z(h). Calculate j*f(s) + 6*c(s). 3*s**3 + 2*s**2 Let o(p) = -76*p + 5. Let r be o(0). Let h(a) = 2*a**3 - a**2 + 3*a + 5. Let q(c) = -3*c**3 + 2*c**2 - 5*c - 9. Calculate r*h(d) + 3*q(d). d**3 + d**2 - 2 Let p(z) = 2*z**2 + z**2 + z - 4*z**2. Let i = 297400 + -297401. Let h(c) = 4*c**2 - 2*c. What is i*h(t) - 2*p(t)? -2*t**2 Let k(x) = -x**2 - 79*x + 251. Let g be k(3). Let o(m) = m**3 + 18*m**2 - 4. Let z(f) = -f**3 - 17*f**2 + 3. Give g*z(v) + 4*o(v). -v**3 - 13*v**2 - 1 Let d(v) = -532*v**2. Let g(l) = 13*l**2. Suppose -773 = n - 2*y - 777, 26 = 4*n + 2*y. Calculate n*d(h) + 247*g(h). 19*h**2 Let k(o) = 6*o**2 - 651*o - 10. Let z(u) = 5*u**2 - 652*u - 7. Give 2*k(c) - 3*z(c). -3*c**2 + 654*c + 1 Let x be (-30)/27 + 504/(-567). Let p(r) = -6*r**2 - 18*r - 7. Let n(h) = 0*h + 4*h + 2 + 2*h**2 + 4*h - 2*h. Give x*p(c) - 7*n(c). -2*c**2 - 6*c Let c(s) = 7584*s - 5. Let n(b) = -15165*b + 12. Determine -7*c(v) - 3*n(v). -7593*v - 1 Let j(o) = 585*o**3 - 9*o**2 + 58*o + 432. Let x(d) = -292*d**3 + 4*d**2 - 29*d - 192. Calculate 4*j(k) + 9*x(k). -288*k**3 - 29*k Let o(b) = -4*b. Let m(w) = 63*w. Let r = -1 - 2. Suppose -101 = 5*n - 121, -4*n - 82 = 2*x. What is r*m(f) + x*o(f)? 7*f Let a(g) be the second derivative of 1/12*g**4 + 1/2*g**2 + 0 - 1/6*g**3 - 18*g. Let m(j) = 3*j**3 - 18*j**2 + 18*j - 18. Calculate 18*a(o) + m(o). 3*o**3 Let q(a) = 5*a - 19. Let n(v) = -14*v + 58. Let j(x) = -426*x - 4680. Let i be j(-11). Calculate i*n(f) + 17*q(f). f + 25 Let v be 2 + ((-525)/60 - (-1 + (-2)/(-8))). Let x be -4*4/(16/5). Let s(b) = -3*b**2 - 8*b + 5. Let r(h) = 4*h**2 + 9*h - 6. Give v*s(l) + x*r(l). -2*l**2 + 3*l Let f(w) be the third derivative of w**5/60 - w**4/6 - 5*w**3/6 - 6*w**2. Let a = 1404 + -1402. Let l(j) = -j**2 + 2*j + 2. What is a*f(r) + 5*l(r)? -3*r**2 + 2*r Let v(c) = 2150*c**2 + 301. Let n(j) = -39*j**2 + 328*j - 2. Let h(m) = 38*m**2 - 410*m + 1. Let i(t) = -4*h(t) - 5*n(t). What is 301*i(b) - 6*v(b)? 43*b**2 Let w(j) = 41*j - 68. Let d(h) = -30*h + 71. Determine 4*d(b) + 3*w(b). 3*b + 80 Let c(j) = 57*j - 94. Let o(q) = 132*q - 186. Calculate -7*c(z) + 3*o(z). -3*z + 100 Let z(s) = 11*s - 277. Let u(o) = o + 92. Determine u(y) + z(y). 12*y - 185 Let x(o) = 669*o**2 + 2*o - 4. Let c(h) = -2012*h**2 - 6*h + 14. Determine 2*c(m) + 7*x(m). 659*m**2 + 2*m Let m(j) = -j. Let o(g) = 4*g**2 - 4*g. Let r = 102 - 97. Let p be -4*(r/10)/(1/(-2)). Determine p*m(c) - o(c). -4*c**2 Let h(n) = 8*n**2 + 41*n + 26. Let d(g) = 6*g**2 + 41*g + 14. Calculate -3*d(v) + 2*h(v). -2*v**2 - 41*v + 10 Let n(o) = 205*o**3 + 16*o - 5. Let a(y) = 205*y**3 + 12*y - 5. Determine -4*a(i) + 3*n(i). -205*i**3 + 5 Let j(g) = -2*g**3 + 3*g**2 + 2*g - 4. Let n(k) = 4*k**2 - 106397914*k**3 + 2*k + 0*k + 106397911*k**3 - 5. Determine -5*j(w) + 4*n(w). -2*w**3 + w**2 - 2*w Let x(i) = -469412340*i**3 - 143671*i**2 - 143671*i - 1724052. Let b(k) = -13069*k**3 - 4*k**2 - 4*k - 48. What is 143671*b(w) - 4*x(w)? 13061*w**3 Let i(y) = -5*y**2 + 0*y + 0*y - 4. Let n(v) = 11*v**2 + 9. Let g = -90 - -93. Suppose 0 = -2*u - g*t - 9, -u = -6*u + 2*t - 51. Determine u*i(o) - 4*n(o). o**2 Let x(p) = -2*p**2 + 6*p - 1. Let b(z) = 3*z**2 - 11*z + 2. Let y(t) = -12*t**3 - 76 + 13*t**3 + 98 + 33*t + 18*t**2. Let m be y(-16). Give m*b(j) + 11*x(j). -4*j**2 + 1 Let k be -6 + 4/2*(2 + -1). Let s(y) = -6*y - 3. Let a = 4 + -4. Let p be (-36)/(-9) - (1 - a). Let d(r) = -5*r - 2. Determine k*d(u) + p*s(u). 2*u - 1 Let r(g) = -23*g - 1. Let d(l) = 18*l**2 + 163*l + 6. Give -2*d(c) - 14*r(c). -36*c**2 - 4*c + 2 Let f(v) = 46*v**2 + 41*v - 14. Let c(i) = 15*i**2 + 12*i - 4. What is -14*c(o) + 4*f(o)? -26*o**2 - 4*o Suppose 38 = 6*l + 32. Let a be (1*l/(-2))/(14/280). Let z(c) = -14*c + 10. Let m(n) = -5*n + 3. Determine a*m(j) + 3*z(j). 8*j Let c(v) = 373*v + 38. Let u(y) = 374*y + 29. Determine 3*c(o) - 4*u(o). -377*o - 2 Let k be 0 + 1/((-4)/(-72)). Let a(z) = -5*z + 9. Let h(t) = 6*t - 20 + 35 - 17 - 5*t. Let w be (0 + 2)/((-2)/(-4)). Determine k*h(g) + w*a(g). -2*g Let y(n) = 3*n**2 - 169*n + 61. Let m(s) = s**2 - 2*s + 13. Determine -5*m(v) + y(v). -2*v**2 - 159*v - 4 Let s(g) be the third derivative of -7*g**4/24 + g**3/2 + 4418*g**2. Let w(p) = -8*p + 3. Give -3*s(j) + 4*w(j). -11*j + 3 Let m(j) = 14493*j**3 - 7*j**2 + 7*j - 7. Let a(x) = -21740*x**3 + 10*x**2 - 10*x + 10. Calculate 7*a(l) + 10*m(l). -7250*l**3 Let p(h) = 22*h + 108 - 110 - 10*h - 11*h. Let f(c) = -2. What is 4*f(w) - 3*p(w)? -3*w - 2 Let v(p) = -p**3 - p**2 + p. Let o(g) = -5*g**2 - 23*g - 33. Let d(k) = -k**2 - 7*k - 11. Let i(b) = 7*d(b) - 2*o(b). Calculate i(a) + 3*v(a). -3*a**3 - 11 Let k = 34875 - 34883. Let p(c) = -5*c**2 - 5*c - 5. Let l(g) = -2*g**2 - 2*g - 2. Calculate k*l(q) + 3*p(q). q**2 + q + 1 Let b(d) = 6*d**2 - 6*d - 5. Let h = -22 + 23. Let t(o) = 362*o**2 - 363*o**2 + 1 - 4*o + 5*o + 0*o. Suppose 13*z = 10*z + 15. Give h*b(v) + z*t(v). v**2 - v Let t(f) = -f**3 + f - 1. Let z(b) = 1 + 1451*b + 2*b**3 - 477*b - 478*b - 497*b. Suppose -5*o + 4 = -1. What is o*z(g) + t(g)? g**3 Let m(q) = 15*q - 5. Suppose -6*b + 157427 - 157421 = 0. Let n(z) = z + 1. What is b*m(l) + 3*n(l)? 18*l - 2 Let u(v) = -10*v**2 + 5*v - 3096. Let p(z) = -7*z**2 + 4*z - 3096. What is -4*p(j) + 3*u(j)? -2*j**2 - j + 3096 Let d(k) = 3*k**3 + 2*k**2 - 2*k - 4. Let o(v) = -v**3 + v - 43 - v**2 - v**3 + 46. Let z = -133 - -130. Calculate z*d(t) - 4*o(t). -t**3 - 2*t**2 + 2*t Let r(m) = -54646*m. Let l(j) = -7286*j. Calculate 38*l(p) - 5*r(p). -3638*p Let a(f) = 2*f - 19. Suppose 7*g - 3*m + 9 = 0, 252*g - 253*g = 5*m + 23. Let c(y) = y - 10. What is g*a(o) + 5*c(o)? -o + 7 Let x(a) = -11*a**2 + 13*a - 7. Let h(r) = 5*r**2 - 6*r + 3. Let c = 1632 + -1014. Suppose -617*o = -c*o - 6. What is o*x(b) - 13*h(b)? b**2 + 3 Let h(t) = -t**2 - t - 2. Suppose -2 = -7*q + 6*q. Let v(d) = -137 + d + 137. What is q*v(b) + h(b)? -b**2 + b - 2 Let y(c) = -c**2 + 1. Let l(k) = -2*k**2 - k. Suppose 16*q + 179 = -173 + 368. Give q*l(o) + y(o). -3*o**2 - o + 1 Let l(h) = -121 + h**3 + 42 + 43 + 34 + 5*h**2. Suppose -4*g - 4*x = -8, 4*g = 2*x - 0*x + 8. Let r(w) = -2*w**2 + 1. Calculate g*l(s) + 5*r(s). 2*s**3 + 1 Let a(y) = y**2 + y. Supp
{ "pile_set_name": "DM Mathematics" }
is divided by u? 20 Let l(v) = -23*v + 2509. What is the remainder when 1132 is divided by l(102)? 154 Let o = -12 - -14. Suppose 3*c + o*c = 2*c. Suppose 0 = 3*w - 3*k - c*k - 12, 2*w = -k + 17. What is the remainder when w is divided by 2? 1 Suppose 5833 - 20463 - 5902 = -87*d. What is the remainder when d is divided by 44? 16 Let y(t) = 45*t - 146. Let p be y(8). Let u = p - 150. What is the remainder when u is divided by 25? 14 Suppose -22*g + 8759 = -1471. Let i = 509 - g. Calculate the remainder when 129 is divided by i. 41 Calculate the remainder when (364*(3 + (-11)/4))/1 is divided by 80. 11 Let u(g) = 4*g + 7. Let b = 16988 + -16775. What is the remainder when b is divided by u(6)? 27 Let a(c) = -2*c**3 + 36*c**2 + 85*c - 797. What is the remainder when a(15) is divided by 29? 1 Let y(k) = 12*k**3 - 2*k**2 + 5*k - 4. Let c be y(1). Suppose -c*u + 77 = -11. What is the remainder when 8 is divided by u? 0 Let f(l) = l**3 - 4*l**2 + 10*l - 10. Let t be 5*1 + 1*(11 + -12). What is the remainder when 357 is divided by f(t)? 27 Let m = -704 - -1026. Let z = -226 + m. What is the remainder when z is divided by -6 - -2 - (-8 - (3 + 3)) - -4? 12 Let y be (-36)/(-8) - 30/12. Suppose 2*g - 16 = -y*g, -3*l + 316 = 4*g. Calculate the remainder when l is divided by 16. 4 Suppose 873*n - 877*n - v + 2551 = 0, 5*n - 5*v - 3170 = 0. What is the remainder when n is divided by 110? 87 Suppose -2*d + d = -5*h + 80, -3*d = -4*h + 75. Suppose 0 = 5*z, -h*z = 4*f - 17*z - 40. Suppose 5*w - 2 = 4*w. What is the remainder when f is divided by w? 0 Suppose 0 = 2*h - 3*m + 1 + 1, 0 = -m. Let p(w) = 31*w**2 + 4*w + 4. What is the remainder when 45 is divided by p(h)? 14 Suppose -5*t = k - 250, -5*k + 474 = -3*k - 3*t. Suppose -2*l + k = 8*l. Calculate the remainder when l is divided by (32/5)/((40/25)/4). 8 Suppose -5*x = -0*x - 25. Suppose 0 = 45*k - 37*k - 128. Let p(y) = y**2 - 17*y + 25. What is the remainder when p(k) is divided by x? 4 Let p be (-7)/(42/(-366)) - (-2 + 0). Let j = 284 - p. Calculate the remainder when j is divided by 14. 11 Suppose 5*x = 2*x + 99. Let q be (-10)/5*2 - (-35 + -1). Suppose -56 + 152 = q*s. Calculate the remainder when x is divided by s. 0 Let z = 4055 + -4044. Suppose 5*u + 28 - 3 = 0. Let m = 44 - u. Calculate the remainder when m is divided by z. 5 Suppose 0 = 15*r + 10 - 55. Suppose 8*d + 1482 = 3*b + 5*d, r*b = -4*d + 1489. Calculate the remainder when b is divided by 50. 45 Let g = -244 - -225. Suppose 3*l = 36 + 36. Let r = l + g. What is the remainder when 19 is divided by r? 4 Suppose 10*k - 220 = -16*k + 170. What is the remainder when 216 is divided by k? 6 Let p be ((-1 - 1) + 4)/(12/18). Suppose 2*b - 47 = 4*r - 15, p*r + 54 = 4*b. Calculate the remainder when b is divided by 2. 0 Let r = -1862 + 1902. Calculate the remainder when -2 + (194 - (1 + -1)) is divided by r. 32 Let t = 21 - 23. Let x be (t/(-2))/((12/9)/4). Suppose 5*z - 10 = 0, x*z = -5*m + 2*z + 187. What is the remainder when m is divided by 8? 5 Let l be 36/(-45)*(-1910)/4. Suppose l = -9*u - 86. Let b = 87 + u. What is the remainder when 68 is divided by b? 33 Suppose -2*y + 32 = 2*o - 54, y - 195 = -5*o. Suppose 92*s = 90*s + o. What is the remainder when 144 is divided by s? 11 Let x be 0*(2 + 6/(-6)*1). Suppose -g - 3*c + 0*c + 48 = x, 0 = -4*g + 2*c + 206. Calculate the remainder when 192 is divided by g. 39 Let d = -189 - -56. Let t = d - -138. What is the remainder when 88 is divided by t? 3 Let w(c) = c**2 - 13*c + 9. Let x be w(13). Let s(k) = 7*k**2 - 61*k - 6. What is the remainder when 30 is divided by s(x)? 6 What is the remainder when 608 is divided by (-43)/((-86)/312) + -2 + 6? 128 Suppose -x - 60717 = -2*k + 16396, -5*x + 154233 = 4*k. Calculate the remainder when k is divided by 40. 37 Let y = 2018 + -2000. Calculate the remainder when 880 is divided by y. 16 Suppose 527*n - 14291 = 496*n. What is the remainder when n is divided by 21? 20 Let c(j) = 32*j + 144. Let g be c(-15). Suppose -2*k + 26 = -12. What is the remainder when k is divided by (-3)/(-2)*g/(-72)? 5 Let q(k) = -3*k**2 - 22*k + 5. Let s be q(-7). Let h(v) = -26 + 0*v + 5 + 6*v - 3*v. What is the remainder when 42 is divided by h(s)? 12 Let r = 772 - 751. Let v(s) be the first derivative of 5*s**4/2 + 2*s + 1. Calculate the remainder when v(2) is divided by r. 19 Calculate the remainder when 449 is divided by -14*(-30)/140 + 48 + 2 + -3. 49 Suppose 0 = -4*q - h + 189 + 269, -5*q + 569 = 3*h. What is the remainder when q is divided by 6? 1 Let h = 75 + -70. Let v be 106/22 + (-2)/(-11). Suppose z + 57 = 4*z - 5*t, -h*z = -v*t - 95. Calculate the remainder when 53 is divided by z. 15 Let b = 8 + 16. Suppose -5*s - 3*i = -27, 2*s = -0*s + 5*i - 14. Suppose 4*g = 3*f + 66, s*f - 5*f = -g + 19. Calculate the remainder when b is divided by g. 9 Let s = 9594 - 9329. What is the remainder when 4495 is divided by s? 255 Suppose -4*z + 13*g = 11*g - 8, -4*z - 4*g - 16 = 0. Suppose v + 0*f - 391 = -4*f, 4*v - 2*f - 1474 = z. What is the remainder when v is divided by 34? 31 Suppose 12*f - 3829 - 1286 = f. What is the remainder when f is divided by 159? 147 Suppose 13*f = -20*f - 7*f + 240. Suppose -5*l + 9 = 5*x - 1, 10 = 5*x - l. What is the remainder when f is divided by x? 0 Let p(d) = -11*d**3 + d**2 - 4*d - 6. Let t be p(-1). Suppose -t*w - q - 1134 = -15*w, 0 = q + 4. What is the remainder when w is divided by 46? 42 What is the remainder when 3890 is divided by 43 - (10/(-5)*2)/(-2)? 36 Let j(s) = 10*s - 58. Let q(b) = -b**2 - 10*b - 7. Let h be q(-8). Calculate the remainder when 49 is divided by j(h). 17 Let o(d) = -d**2 - 38*d + 1982. What is the remainder when 226 is divided by o(-67)? 31 Let i(n) = -164*n - 4789. What is the remainder when 652 is divided by i(-30)? 128 Let m = -2660 + 2806. What is the remainder when 341 is divided by m? 49 Let h be -3*2/27 - (-740)/90. Suppose h*o - 128 = 4*o + 5*q, -4*o - 5*q = -168. What is the remainder when 66 is divided by o? 29 What is the remainder when 872 is divided by (329 - 255)*1/(1*2) - 2? 32 Suppose 0 = -11*x - 0*x - 15*x + 5044. Calculate the remainder when 1742 is divided by x. 190 Let i be ((-34)/6 + -2)*-3. Suppose 19*d - i*d + 4*u + 80 = 0, 3*d - 5*u = 66. Calculate the remainder when 49 is divided by d. 15 Let d(z) = -13*z**2 + 8*z + 3. Let t(n) = 9*n**2 - 6*n - 2. Let k(v) = -5*d(v) - 7*t(v). Calculate the remainder when k(4) is divided by 24. 15 Let l(o) be the third derivative of o**4/4 - o**3/6 + 9*o**2. Let z be l(-5). Let g = z - -38. Calculate the remainder when 19 is divided by g. 5 Suppose 20*p - 280 - 28 = 252. What is the remainder when 4114 is divided by p? 26 Let d(w) = w**2 - 19*w + 91. Suppose 3*y + y - 4*u = 240, 2*y + 3*u = 120. Calculate the remainder when y is divided by d(14). 18 Suppose -3*r + 4*j + 51 + 8 = 0, 0 = -4*j + 16. Suppose 0 = -o - 5*m + 71, 3 - 6 = -3*m. Calculate the remainder when o is divided by r. 16 Suppose x = -10*g + 15*g + 20, x - 23 = 2*g. What is the remainder when 2747 is divided by x? 22 Let q be 0/(-14)*1/3. Suppose 2*s + 5*u = 31, -s - 4*u + 14 + 9 = q. Let n(j) = 40*j - 19. Calculate the remainder when n(s) is divided by 21. 17 What is the remainder when 1533/(-315) - 6/45 - (2 + -55) is divided by 12? 0 Suppose -2*k - 5*s = -0*k - 45, 5*s = 5. Let x be 8 + (4 - (0 + 2)). What is the remainder when 5/50 + 1149/x is divided by k? 15 Suppose 2*m = -1 - 13, 2*x - 519 = 5*m. What is the remainder when x is divided by 48? 2 Calculate the remainder when 21 is divided by ((-5)/(-20))/(5 + -7 + 105/52). 8 Let g(d) = 3*d - 17. What is the remainder when g(18) is divided by (-91 - -96)/(3*(-15)/(-171))? 18 Let c = 1233 - 1218. Calculate the remainder when c is divided by 11. 4 Suppose 0*q + 3*n = q - 303, 0 = -q + 4*n + 305. Calculate the remainder when q is divided by 138. 21 What is the remainder when ((-783)/(-58))/(-9) + 2/4*235 is divided by 7? 4 Let c = -289 - -455. What is the remainder when 467 is divided by c? 135 Let n = 196 - -16. Let u(y) = y**2 - 54*y + 684. What is the remainder when n is divided by u(36)? 32 Let o(l) = 823*l - 3213. What is the remainder when 787 is divided by o(4)? 76 Suppose 4*x = 4*y + 84, 5*x - 3*y + y = 90. Let k be 180/240*584/6. S
{ "pile_set_name": "DM Mathematics" }
13*k(l)? 61*l**3 - 41*l Let u(b) = 6*b + 2. Let n(v) = 8*v + 483. What is n(s) - u(s)? 2*s + 481 Let l(j) = -j + 1. Let k(n) = 9*n - 9 + 60*n - 71*n. Give k(f) + 2*l(f). -4*f - 7 Let h(m) = -m**3 - 24*m**2 - m. Let l(o) = 7*o**3 - 398*o**2 + 6*o + 2. Give 6*h(d) + l(d). d**3 - 542*d**2 + 2 Let h(y) = -2. Let j(n) = 9*n - 6. What is 5*h(u) + j(u)? 9*u - 16 Let n(k) = -204*k**3 + 7*k**2 + 6*k + 10. Let l(d) = -103*d**3 + 4*d**2 + 4*d + 6. What is -7*l(y) + 4*n(y)? -95*y**3 - 4*y - 2 Let h(t) = -35*t + 45. Let w(r) = -2. Give 2*h(n) + 50*w(n). -70*n - 10 Let x(u) = u**2 + 4*u - 7. Let h(c) be the third derivative of -c**3 + 1/8*c**4 + 2 + 0*c + 54*c**2 + 1/60*c**5. What is -7*h(a) + 6*x(a)? -a**2 + 3*a Let i(t) = -58*t**3 + 2*t**2 - 3*t + 12. Let x(a) = 290*a**3 - 11*a**2 + 16*a - 66. Calculate -33*i(r) - 6*x(r). 174*r**3 + 3*r Let j(p) = -5*p + 44. Let f(x) = -374 + 361 + 35 - 2*x. Calculate 9*f(w) - 4*j(w). 2*w + 22 Let j(l) = l + 1. Let y(a) = 2 + 0*a + 2*a + 0*a - a**3. Suppose 0 = 40*z + 11342112 - 11342272. Calculate z*j(w) - 2*y(w). 2*w**3 Let k = -4 + 18. Let v = -23 - -19. Let i(w) = -177 - 3*w + 86 + 91. Let m(y) = -y. Calculate k*m(q) + v*i(q). -2*q Let c be (6232/380 + (-32)/(-20))*4/(-18). Let o(f) = -3*f. Let v = 6 - 13. Let x(k) = 7*k. Give c*x(d) + v*o(d). -7*d Let w(a) = 11*a**2 + 17*a - 5. Let b(d) = -5*d**2 - 7*d + 2. Give 10*b(g) + 4*w(g). -6*g**2 - 2*g Let f(x) = 97*x. Let a(n) = 487*n - 262. Give 2*a(c) - 10*f(c). 4*c - 524 Let x(h) = -2*h - 4. Let g(m) be the first derivative of 3*m**2/2 + 3*m + 1487. Give 3*g(l) + 4*x(l). l - 7 Let q(d) = -198*d - 12. Let b(o) = -7*o - 1. Determine 28*b(g) - 2*q(g). 200*g - 4 Let u be -15 + 7 + (15 - 0) - (-12)/(-3). Let r(p) = -21*p - 7. Let g(w) = -10*w - 3. What is u*r(s) - 7*g(s)? 7*s Let t(y) be the second derivative of 3*y**5/20 - 10*y**4/3 + 11*y**3/6 + 11*y**2/2 + 6477*y. Let b(l) = l**3 - 13*l**2 + 4*l + 4. Calculate 11*b(g) - 4*t(g). -g**3 + 17*g**2 Let z(m) = -m**3 - 7*m**2 + 18*m + 1. Let t be z(2). Let x(j) = -j**3 - 14 + 4 + 11. Let v(f) = -13*f**3 + 2. What is t*v(r) - 2*x(r)? -11*r**3 Let b(z) = 47*z - 310. Let y(g) = -39*g + 308. Give 5*b(r) + 6*y(r). r + 298 Let g(l) = -29*l**3 + 5*l**2 - 5*l + 5. Let p(j) = -204*j**3 + 34*j**2 - 34*j + 34. Let x = 6069 + -6035. Give x*g(s) - 5*p(s). 34*s**3 Let m(n) = -24*n**2 + 4*n - 26. Let o(b) = -12*b**2 + 2*b - 12. Calculate 2*m(f) - 5*o(f). 12*f**2 - 2*f + 8 Let t = 5 - -4. Suppose -28 = -t*z + 26. Let d(q) = 2*q**3 + 6*q + 6. Let b(n) = 3*n**3 + 5*n + 5. Calculate z*b(c) - 5*d(c). 8*c**3 Let j = 11 + -25. Let x(t) = t - 3. Let v(m) = -114*m - 16. Let h(a) = -59*a - 1. Let d(o) = 2*h(o) - v(o). Determine j*x(g) - 3*d(g). -2*g Let m(v) = -1. Let f(h) = 10*h + 275. Let b be f(-27). Suppose b*g = 2*t + 2*t + 25, -3*t = -5*g + 25. Let j(p) = -3*p - 3. Give g*m(d) - j(d). 3*d - 2 Let c(s) = -s**2 - 476*s + 8390. Let k be c(17). Let n(x) = 10*x. Let b(g) = -20*g + 1. Calculate k*n(f) + 4*b(f). 10*f + 4 Let w(m) = 19*m**3 + 5*m - 5. Let u be (-4 + -22 + -1)/(-1) + -3. Suppose 22*v + 16 = u*v. Let l(i) = 29*i**3 + 8*i - 8. What is v*w(f) - 5*l(f)? 7*f**3 Let a(t) = 80*t**2 + 34*t + 8. Let d(h) = h**2 + 4. Give -a(y) + 2*d(y). -78*y**2 - 34*y Let i(h) = 3*h - 2247. Let n(q) = 4*q - 2263. What is -6*i(w) + 5*n(w)? 2*w + 2167 Let r(g) = 43*g - 2. Let f(z) = -256*z + 12. Let y(w) = -f(w) - 6*r(w). Let n(v) = -3*v. Suppose i - 4*a = 25, -5*i + a + 30 = -0*i. What is i*y(s) - 2*n(s)? -4*s Let s(u) = -8*u**3 + 6*u**2 - 3*u. Let i(w) = -7*w**3 + 5*w**2 - 2*w. Let h = 40961 + -40958. Determine h*i(f) - 2*s(f). -5*f**3 + 3*f**2 Let v(i) be the first derivative of i**2 - i - 1003. Let r(a) = a**2 - 11*a + 13. Let m be r(10). Let x(d) = 2*d + 0*d - m*d + 0*d. Give -v(j) - 3*x(j). j + 1 Let j(m) = 35*m - 9 - 31*m - 22. Let z be j(9). Let c(w) = 3*w**3 + 11*w**2 + 8*w - 3. Let s(r) = 2*r**3 + 7*r**2 + 5*r - 2. Calculate z*c(u) - 8*s(u). -u**3 - u**2 + 1 Let r = 10936 + -10939. Let c(v) = -v**3 - 3*v**2 - 4*v + 32. Let o(a) = -a**2 - a. Determine r*o(y) + c(y). -y**3 - y + 32 Suppose 0 = 3*a + a + 4*k + 48, -5*k = -4*a - 75. Let d(z) = 2*z - 5. Let t(p) be the first derivative of -2*p + 145 + 1/2*p**2. Calculate a*t(r) + 6*d(r). -3*r Let x(l) = 11*l - 6. Let y(s) = -929*s + 5570. Let d be y(6). Let n(u) = 5*u - 3. Calculate d*x(f) + 9*n(f). f - 3 Let d(i) = 99*i - 20. Let h(p) = -p + 8. Determine d(u) + 3*h(u). 96*u + 4 Let v(b) = 13*b**3 + 4*b - 4. Let m(l) = -5*l**3 - 12*l**2 - l + 1. Let w(p) = -4*p**3 - 9*p**2 - p + 1. Let h(k) = 3*m(k) - 4*w(k). Give 4*h(d) - v(d). -9*d**3 Let c(r) = -r**3 + 20*r**2 - 6. Let p(u) be the second derivative of -u**4/12 + u**2/2 - 4*u - 104. What is -c(d) - 6*p(d)? d**3 - 14*d**2 Let f(r) = 27803803*r - 113890. Let w(o) = -4883*o + 20. What is 2*f(i) + 11389*w(i)? -4881*i Let a(x) = -2*x**3 + 5*x**2 + 3*x + 3. Let y(g) be the first derivative of -3*g**4/2 + 16*g**3/3 + 5*g**2 + 10*g - 1598. Determine 10*a(m) - 3*y(m). -2*m**3 + 2*m**2 Let z(q) = 98*q. Let a = -19216 - -19221. Let j(k) = -147*k. Determine a*j(p) + 7*z(p). -49*p Let w(m) = 2*m**2 - 4*m - 1060. Let h(l) = l - 12. Determine 4*h(u) + w(u). 2*u**2 - 1108 Let w(v) = 205*v**3 + 9*v**2 - 15*v + 5. Let t(h) = 204*h**3 + 11*h**2 - 18*h + 6. Calculate 5*t(z) - 6*w(z). -210*z**3 + z**2 Let b(m) = -558*m + 189*m + 186*m + 184*m. Let r(q) = q + 2. Let l(h) = 4*h + 7. Let i(x) = 2*l(x) - 7*r(x). What is 7*b(k) - 4*i(k)? 3*k Let r(x) = -284*x + 128. Let n(i) = 4*i - 14. What is 10*n(l) + r(l)? -244*l - 12 Let b(w) = -9*w - 2902. Let n(o) = -38*o - 11609. What is 17*b(m) - 4*n(m)? -m - 2898 Let v(h) = 77*h**2 + 9*h + 60. Let m(s) = -116*s**2 - 14*s - 93. What is 5*m(x) + 8*v(x)? 36*x**2 + 2*x + 15 Let v(f) = 179*f**3 - 2*f**2 - 34*f. Let n(z) = 896*z**3 - 11*z**2 - 185*z + 1. What is 2*n(h) - 11*v(h)? -177*h**3 + 4*h + 2 Let q(m) = -41*m**2 - 9*m - 299. Let y(a) = 64*a**2 + 15*a + 449. Determine 8*q(c) + 5*y(c). -8*c**2 + 3*c - 147 Let v(s) = 9*s - 4. Suppose 19*c + 11*c - 1530 = 0. Suppose -32*m = -c*m + 114. Let o(y) = -y + 1. Determine m*o(g) + v(g). 3*g + 2 Let h = 19 + -21. Let d(q) = 2*q**3 + 2*q**2 - 2*q + 7. Let m(p) = -191295 + 4*p**3 + p + 191310 + 5*p**2 - 6*p. What is h*m(a) + 5*d(a)? 2*a**3 + 5 Let o(s) = s**2 + s + 1. Let u(j) = 2*j**3 - 5*j**2 - 4*j - 4. Suppose -9*x + 301 = 2*y - 4*x, 5*y - 737 = 3*x. Let n = -147 + y. Calculate n*u(q) + 4*o(q). 2*q**3 - q**2 Let t(y) = y**3 - 2*y**2 - 2*y + 2. Let n(z) = -z**3 + 5*z**2 + 3*z - 5. Suppose -2*c = 21*r - 22*r - 5, 2*c + 3*r = 1. What is c*n(g) + 5*t(g)? 3*g**3 - 4*g Let l(j) = 7*j**2 - 2*j + 2. Let k(g) = 3*g**2 - g + 1. Suppose 3*h + 207 - 9 = 0. Let d = 62 + h. Determine d*l(x) + 10*k(x). 2*x**2 - 2*x + 2 Let j(h) = -109*h**2 - 2797*h + 4. Let b(s) = -136*s**2 - 2798*s + 5. Calculate -4*b(l) + 5*j(l). -l**2 - 2793*l Let j(m) = -m**2 + 4*m - 7. Let w = 45 + -41. Suppose 6 = 4*g - 2*b, -14 = -3*g - w*b + 18. Let p(u) = -g - 10 - u**2 + 10 + 2*u. What is 3*j(t) - 5*p(t)? 2*t**2 + 2*t - 1 Let b(i) be the second derivative of -7*i**3/3 - 3*i**2/2 - 2*i. Let k(p) be the second derivative of 13*p**3/6 + p**2 - 2347*p. Determine 2*b(t) + 3*k(t). 11*t Let o = 264 - 264. Suppose -26 = -3*t + 4*f, o*f - 6 = 3*f. Let r(b) = 3*b**3 - 6*b - 6. Let h(a) = -5*a**3 + 11*a + 11. What is t*h(p) + 11*r(p)? 3*p**3 Let r(v) = v**2 - 5*v - 3. Let a(p) = 6*p + 4 + p**2 - 4*p**2 + 2*p**2. Suppose 0 = 31*n - 4 - 27. Let s be ((-6)/8)/(n/2)*2. Give s*a(g) - 4*r(g). -g**2 + 2*g Let z(j) = 660*j**3 - j + 0*j - 661*j**3 - 5773 + 5773. Let q(s) = -3*s**3 + 8*s. Give -q(a) - 4*z(a). 7*a**3 - 4*a Let m(i) = -1483*i - 43. Let t(k) = 370*k + 10. Determine 2*m(y) + 9*t(y). 364*y + 4 Let m(i) = 15*i - 4. Let p be (286/(-39) + (-2)/(-6))*-62. Let t(l) = p - 218 - 218 + 5*l + 2*l. Determine 6*m(c) - 13*t(c). -c + 2 Let r(o) = 18*o - 261. Let y be r(15). Let a(u) = 89*u**2. Let i(t) = 22*t**2. Give y*i(m) - 2*a(m). 20*m**2 Let h(x) = -4*x**2 + x. Let u(b) = 594*b**3 + 34*b**2 - 9*b + 1. What is 8*h(m) + u(m)? 594*m**3 + 2*m**2 - m + 1 Let w(d) = -2*d + 1. Let q(h) = -13*h + 14. Let b(u) = q(u) - 3*w(u). Let g(m) = -20*m + 26*m + 18*m - 29*m - 21 + 18*m. What is 11*b(i) + 6*g(i)? i - 5 Suppose 3*u + 18 - 9 = 0. Let h be u - (3/(-6) - 4/(-8
{ "pile_set_name": "DM Mathematics" }
ing 2 h and 2 o when four letters picked without replacement from {z: 1, o: 7, h: 5, c: 6}. 35/646 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ltoouou. 1/7 Four letters picked without replacement from wuiiiwuwiwuiiiuuwuu. What is prob of picking 3 i and 1 w? 175/3876 What is prob of picking 2 j and 1 z when three letters picked without replacement from zuujjzjzz? 1/7 What is prob of picking 2 h, 1 x, and 1 u when four letters picked without replacement from hxhxxhhu? 9/35 What is prob of picking 4 j when four letters picked without replacement from {j: 4}? 1 Calculate prob of picking 2 m and 1 n when three letters picked without replacement from zmnzznnzzmnzz. 2/143 What is prob of picking 2 w when two letters picked without replacement from {w: 9, a: 11}? 18/95 What is prob of picking 1 y, 1 r, 1 x, and 1 k when four letters picked without replacement from {r: 2, b: 2, k: 1, x: 1, y: 1}? 2/35 Two letters picked without replacement from {q: 2, b: 6, u: 2, v: 3}. What is prob of picking 1 q and 1 u? 2/39 Four letters picked without replacement from {i: 3, v: 1, l: 3, r: 1, h: 1, p: 2}. What is prob of picking 3 i and 1 r? 1/330 What is prob of picking 1 z and 1 j when two letters picked without replacement from {z: 4, j: 10, n: 1, y: 4, o: 1}? 4/19 Calculate prob of picking 1 e, 1 g, and 1 i when three letters picked without replacement from {n: 2, e: 2, i: 1, g: 4}. 2/21 Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {v: 5, c: 2, g: 4, r: 7}. 28/153 Four letters picked without replacement from jzczu. Give prob of picking 2 z, 1 j, and 1 c. 1/5 What is prob of picking 3 o when three letters picked without replacement from loooool? 2/7 Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, f: 2, j: 1, v: 5}. 1/36 Two letters picked without replacement from {o: 1, y: 1, n: 2}. What is prob of picking 2 n? 1/6 Four letters picked without replacement from xkkrsvsvsskrssr. What is prob of picking 1 v, 1 x, and 2 r? 2/455 Calculate prob of picking 2 g and 1 p when three letters picked without replacement from kwwgkgwwwppgdwwkgkwm. 1/95 Two letters picked without replacement from {y: 8, x: 5, t: 1, f: 2}. What is prob of picking 1 f and 1 x? 1/12 Calculate prob of picking 1 x and 1 b when two letters picked without replacement from qxubxbxuuqbbqxqbbu. 8/51 Four letters picked without replacement from {u: 3, z: 1, g: 1}. What is prob of picking 3 u and 1 z? 1/5 What is prob of picking 1 b and 2 w when three letters picked without replacement from bbbwbbwwbbbwwwbwwwww? 33/76 Calculate prob of picking 3 r and 1 k when four letters picked without replacement from rofkrrfouor. 2/165 Three letters picked without replacement from rmrmrmmrrmrrm. What is prob of picking 3 m? 10/143 Four letters picked without replacement from {m: 3, n: 5}. What is prob of picking 4 n? 1/14 Two letters picked without replacement from {x: 1, t: 1, f: 1, b: 2, i: 1, l: 1}. Give prob of picking 1 l and 1 x. 1/21 Calculate prob of picking 2 o when two letters picked without replacement from {b: 1, o: 3}. 1/2 Three letters picked without replacement from jqqjqqgjjjjkjjqqqj. What is prob of picking 2 q and 1 j? 63/272 Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, q: 3}. 1/2 What is prob of picking 1 m and 1 v when two letters picked without replacement from jftmifjjjifvjmfjfvjj? 2/95 Two letters picked without replacement from {x: 8, n: 2, q: 3, z: 4}. Give prob of picking 2 n. 1/136 Two letters picked without replacement from pwphpxlhphlfhhhhlwhf. What is prob of picking 1 l and 1 p? 6/95 Two letters picked without replacement from yyhyhhhhhhhyy. Give prob of picking 2 y. 5/39 Four letters picked without replacement from qqjqbabqjqqbb. What is prob of picking 2 q and 2 b? 18/143 What is prob of picking 2 n and 2 a when four letters picked without replacement from nammanaaaama? 7/165 Calculate prob of picking 1 e and 1 d when two letters picked without replacement from dldleleleee. 2/11 What is prob of picking 1 j and 1 u when two letters picked without replacement from fjcbcaafu? 1/36 Four letters picked without replacement from {o: 3, q: 2, m: 7, z: 6, k: 1}. What is prob of picking 2 z and 2 o? 15/1292 Three letters picked without replacement from {g: 4, j: 1, i: 1, q: 1, z: 1}. What is prob of picking 1 q, 1 i, and 1 z? 1/56 What is prob of picking 2 z and 1 a when three letters picked without replacement from {e: 4, a: 1, z: 7, h: 1, o: 4}? 21/680 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 1, k: 1, t: 1, a: 2}. 1/10 What is prob of picking 2 t when two letters picked without replacement from htthttttht? 7/15 What is prob of picking 2 w when two letters picked without replacement from qmqqwwwqq? 1/12 Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {z: 1, v: 1, i: 1}. 1/3 Four letters picked without replacement from uuuvuvuv. Give prob of picking 3 v and 1 u. 1/14 What is prob of picking 2 d and 2 c when four letters picked without replacement from yzycrzdccdddyrdz? 3/182 Four letters picked without replacement from fxxlfxlollo. What is prob of picking 1 f, 2 l, and 1 o? 4/55 What is prob of picking 4 z when four letters picked without replacement from {z: 9, e: 9}? 7/170 Calculate prob of picking 2 w and 2 b when four letters picked without replacement from {t: 9, b: 2, w: 5}. 1/182 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from oojregrrobgr. 4/33 Two letters picked without replacement from {n: 5, q: 14}. What is prob of picking 2 n? 10/171 Two letters picked without replacement from {u: 1, b: 1, t: 5, q: 2}. What is prob of picking 2 t? 5/18 Calculate prob of picking 2 t, 1 i, and 1 v when four letters picked without replacement from {i: 2, v: 5, t: 13}. 52/323 Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {m: 11, s: 9}. 99/323 Two letters picked without replacement from {u: 8, o: 2, t: 5, i: 2, v: 2}. What is prob of picking 2 t? 10/171 Three letters picked without replacement from {d: 2, e: 1, l: 1}. Give prob of picking 2 d and 1 e. 1/4 Three letters picked without replacement from tpbtkvtptktkkb. Give prob of picking 2 b and 1 k. 1/91 What is prob of picking 2 p when two letters picked without replacement from {s: 2, d: 4, p: 4}? 2/15 Two letters picked without replacement from bzmxgzzzzmmbzzmzmxzz. What is prob of picking 2 z? 9/38 Three letters picked without replacement from cuxwxwcuwwcwwnxcw. Give prob of picking 2 w and 1 n. 21/680 Two letters picked without replacement from {z: 2, o: 9, b: 8}. What is prob of picking 1 b and 1 o? 8/19 Calculate prob of picking 4 s when four letters picked without replacement from {h: 3, w: 1, s: 4, e: 1, n: 1, q: 4}. 1/1001 Three letters picked without replacement from smssssssmsss. Give prob of picking 3 s. 6/11 What is prob of picking 1 n and 1 x when two letters picked without replacement from {n: 2, x: 5, d: 1, b: 1}? 5/18 What is prob of picking 1 d and 1 w when two letters picked without replacement from {m: 1, l: 1, w: 5, d: 1, z: 6}? 5/91 Three letters picked without replacement from yyhyyyyyhyyhyyhmh. What is prob of picking 2 h and 1 m? 1/68 Two letters picked without replacement from {o: 4, k: 10}. What is prob of picking 2 k? 45/91 Four letters picked without replacement from dkkkkkkkkdkdkkkdkkkd. Give prob of picking 4 k. 91/323 Two letters picked without replacement from {n: 2, w: 2, x: 1, t: 1, l: 1, d: 2}. What is prob of picking 1 d and 1 w? 1/9 What is prob of picking 2 i and 1 f when three letters picked without replacement from jmfiimemm? 1/84 Three letters picked without replacement from ffzhffpooozl. What is prob of picking 1 z, 1 f, and 1 h? 2/55 Two letters picked without replacement from yljgeyq. Give prob of picking 1 y and 1 q. 2/21 Two letters picked without replacement from adsqaaaqdadaba. Give prob of picking 1 q and 1 a. 2/13 Four letters picked without replacement from {d: 2, n: 8, x: 5}. What is prob of picking 2 n and 2 x? 8/39 What is prob of picking 1 w, 1 v, and
{ "pile_set_name": "DM Mathematics" }
6 = -3*m - 0*m. What is the third derivative of -k**2 - k**2 - k**3 - 2*k**3 + 0*k**m wrt k? -18 Let u(b) = -b**3 - b**2 - b + 1. Let c(a) = -4*a**4 - 18*a**3 - 18*a**2 - 18*a + 22. Let x(d) = -2*c(d) + 36*u(d). Find the first derivative of x(i) wrt i. 32*i**3 Let a(k) be the first derivative of -8*k**3/3 - 6*k**2 - 3. What is the second derivative of a(v) wrt v? -16 Suppose 8*u = 22 + 26. Let x = -8 - -11. What is the derivative of 5*v - 4 - x*v - u*v wrt v? -4 Let d(l) = 8*l**3 - 6*l**2 + 33. Let v(s) = 7*s**3 - 5*s**2 + 33. Let i(w) = 5*d(w) - 6*v(w). What is the derivative of i(x) wrt x? -6*x**2 Let y be ((-27)/90)/((-6)/5). Let k(a) be the second derivative of a - 1/20*a**5 + y*a**4 + 0*a**3 + 0*a**2 + 0. What is the third derivative of k(c) wrt c? -6 Let d(i) be the first derivative of -2*i**7/105 + i**5/20 + i**2 - 2. Let a(f) be the second derivative of d(f). What is the third derivative of a(y) wrt y? -96*y Let j = -580 + 23201/40. Let u(n) be the third derivative of 0*n**3 + 0*n + 0*n**4 + j*n**6 + 1/30*n**5 + 2*n**2 + 0. Find the third derivative of u(i) wrt i. 18 Let z be -4*((-3)/(-6) + -1). Find the third derivative of m**z - 1 + 1 - 2*m**2 + 2*m**5 wrt m. 120*m**2 Find the second derivative of -b**3 - 3*b - 2*b - 2*b**3 wrt b. -18*b Let p(s) = -2*s + 1. Let y(c) = c**2 - 11*c + 6. Let m(o) = -22*p(o) + 4*y(o). What is the derivative of m(v) wrt v? 8*v Let z(u) be the first derivative of -u + 0*u**2 - 3 + 7/3*u**3. Differentiate z(s) with respect to s. 14*s Let g(a) be the third derivative of 0*a - 4*a**2 + 0*a**4 - 1/20*a**5 + 0 - 1/6*a**3. Differentiate g(p) with respect to p. -6*p Find the second derivative of 4*d**5 - 6*d + 12*d - 4*d wrt d. 80*d**3 Let x be (3 + 0)*(0 + 1). Differentiate x + 1 + 5*f - 5*f - 2*f**4 wrt f. -8*f**3 Suppose 5*i - i - 12 = 0. Let n be 6/2 - ((-6)/(-2))/(-3). What is the second derivative of -4*t - 5*t**i - 3*t**3 + n*t**3 wrt t? -24*t Let j(w) = -22*w**3 - 6*w. Let h(t) = 7*t**3 + 2*t. Let l = 1 + 1. Let r(x) = l*j(x) + 7*h(x). Find the second derivative of r(f) wrt f. 30*f Let n(g) be the second derivative of 7*g**4/6 - 23*g**3/6 + 22*g. What is the second derivative of n(l) wrt l? 28 Let u be -1*(-15)/9*3. What is the derivative of -4*c**4 - u + 7 - c**4 wrt c? -20*c**3 Let t(g) be the second derivative of g**6/3 + 13*g**3/2 + 42*g. Find the second derivative of t(u) wrt u. 120*u**2 Find the second derivative of -z**4 + 3*z - z**4 + 4*z wrt z. -24*z**2 Suppose 0 = 2*j + j - 6. Let s(c) = c**3 - 5*c**2 + c - 4. Let r be s(5). What is the second derivative of o**5 + j*o + 1 - r wrt o? 20*o**3 Let q(x) be the first derivative of -2 + 1/2*x**2 + 1/6*x**4 + 0*x**3 + x. Let t(c) be the first derivative of q(c). Differentiate t(z) wrt z. 4*z Let y(b) be the first derivative of 3/2*b**2 + 3 + b. Differentiate y(d) wrt d. 3 Let l(r) = r**2 + 9*r + 6. Let j be l(-9). Suppose 8 = j*q - 2*q. Find the third derivative of -a**3 - q*a + 2*a + 3*a**3 + 2*a**2 wrt a. 12 Let z(f) = -35*f**3 + 30*f**2 - 5*f - 5. Let r(h) = -h**3 - h**2 + h + 1. Let p(a) = -5*r(a) - z(a). Find the third derivative of p(q) wrt q. 240 Let z(a) be the second derivative of a**6/10 - 7*a**3/6 - 2*a. What is the second derivative of z(y) wrt y? 36*y**2 Let b(p) be the second derivative of 0*p**2 + 3/20*p**5 + 0 + 0*p**4 + 3*p + 1/2*p**3. Find the second derivative of b(c) wrt c. 18*c Let f be (-2 - -7)*6/15. Let s(u) be the first derivative of u**f - 2 + 3*u + 1 - 5*u. What is the first derivative of s(p) wrt p? 2 Let h(z) be the second derivative of -z**6/60 + z**4/6 + 9*z**2/2 - z. Let t(s) be the first derivative of h(s). What is the second derivative of t(u) wrt u? -12*u What is the second derivative of 30 + 3*z - 2 + 61*z**3 - 2 - 4*z wrt z? 366*z Let d = 17 + -12. Let m(z) = 5*z**3 + 6*z**2 - 6*z + 1. Let x(l) = 4*l**3 + 5*l**2 - 5*l + 1. Let u(r) = d*m(r) - 6*x(r). Differentiate u(c) with respect to c. 3*c**2 Let a(p) = 20*p**2 - 20*p - 5. Let x(o) = -o - 1. Let k(c) = 2*a(c) - 10*x(c). What is the second derivative of k(s) wrt s? 80 What is the third derivative of -4*x**4 + 2*x**2 - 3*x**2 - 5*x**4 - 3*x**2 wrt x? -216*x Let k = 5 + -3. Suppose -k*o = -7*o + 15. Differentiate -o + 0 + 2*w**2 + 1 wrt w. 4*w Let h(b) = -b - 1. Let q(v) = -v - 3. Let j(f) = 7*h(f) - 4*q(f). Differentiate j(s) with respect to s. -3 What is the derivative of 7409 - 7382 - 11*g - 19*g wrt g? -30 Let z = -10 + 10. What is the second derivative of z*y - 53*y**5 + y + 58*y**5 wrt y? 100*y**3 Differentiate 31 + l - 1105*l**2 + 1104*l**2 - 3*l wrt l. -2*l - 2 Let v(m) be the first derivative of 26*m**7/7 - 7*m**3/3 - 16. Find the third derivative of v(l) wrt l. 3120*l**3 Differentiate 29 + 20*t**4 + 14*t**3 + 2 - 19*t**4 wrt t. 4*t**3 + 42*t**2 Find the third derivative of -10 + 10 + 19*r**4 + 9*r**2 wrt r. 456*r Let t(k) be the second derivative of 1/2*k**3 + 0 + 0*k**2 + 0*k**4 - 1/4*k**5 - 2*k. What is the second derivative of t(n) wrt n? -30*n Let b(l) be the first derivative of 4*l**5 + 4*l**3/3 + 6. Find the third derivative of b(y) wrt y. 480*y Suppose n = 5*n - 28. What is the derivative of -n + v**4 + 3*v**4 + 4 wrt v? 16*v**3 Let i(m) = m. Let t be i(3). Find the third derivative of p**3 + p**2 - 2*p**t + p**2 wrt p. -6 What is the third derivative of -9*f**4 - 8*f**3 + 8*f**3 + 10*f**2 wrt f? -216*f Find the first derivative of -7*t**4 + 3*t**4 + 6 + 4 wrt t. -16*t**3 Let v(k) be the first derivative of 11*k**5/5 + 14*k + 17. Differentiate v(m) with respect to m. 44*m**3 Let c(r) = -18*r**4 - 7*r**2 - 2. Let z(j) = 6*j**4 + 2*j**2 + 1. Let y(w) = 2*c(w) + 7*z(w). Find the first derivative of y(n) wrt n. 24*n**3 Let p(y) be the third derivative of 9*y**7/35 + y**4 - 8*y**2. What is the second derivative of p(c) wrt c? 648*c**2 Let z(j) = -j**5 - j**4 + j**2 + j. Let i(m) = -21*m**5 - 3*m**4 + 3*m**2 + 6*m - 2. Let k(t) = -i(t) + 3*z(t). Find the second derivative of k(x) wrt x. 360*x**3 Suppose -2*y + 0 = -6. Suppose 12 = k + y*k. Differentiate s**2 + k - 5*s**2 + 3*s**2 with respect to s. -2*s Let v(b) be the third derivative of 23*b**6/120 + 7*b**5/20 - 23*b**2. Find the third derivative of v(l) wrt l. 138 What is the derivative of 82*a**3 + a - 71*a**3 - 1 + 61 wrt a? 33*a**2 + 1 Let s(b) be the first derivative of -11*b**3/3 + 6*b + 13. What is the first derivative of s(x) wrt x? -22*x Let r(m) = m**2 - 10*m + 12. Let o be (-2)/(-5) + 129/15. Let t be r(o). What is the second derivative of 5*x**4 - t*x - 3*x**4 + x wrt x? 24*x**2 Let g(a) be the third derivative of -a**8/48 + 7*a**4/24 + 5*a**2. What is the second derivative of g(z) wrt z? -140*z**3 What is the third derivative of 3*o**2 - 4*o**2 + 2*o**2 + 9*o**5 - 2*o**2 wrt o? 540*o**2 Let b = -6 - -7. Differentiate 6*a**2 - 8*a**2 - b + 0 - a**2 with respect to a. -6*a Let h(x) be the third derivative of -25*x**4/24 - 29*x**3/6 + x**2 - x. Differentiate h(i) with respect to i. -25 Let d(z) be the second derivative of -2*z**6/15 - z**5/20 - 11*z**4/12 + 48*z. Find the third derivative of d(l) wrt l. -96*l - 6 Let h(l) be the third derivative of -22*l**7/105 + l**5/60 - 51*l**2. What is the third derivative of h(z) wrt z? -1056*z Let n(b) be the first derivative of 0*b**2 + 2/3*b**3 + 0*b**5 + 1/2*b**6 + 0*b**4 + 1 + 0*b. What is the third derivative of n(i) wrt i? 180*i**2 Let g = 5 + -2. Suppose -g = -3*z + 3. What is the second derivative of 2*y**2 + 0*y**2 + z*y**2 - 2*y - 2*y**2 wrt y? 4 Differentiate -2*t + 5*t - 3*t + 2 + 3*t with respect to t. 3 Let g(t) = 8*t**4 + 3*t**3 - 13*t**2 + 3*t. Let o(d) = 24*d**4 + 8*d**3 - 40*d**2 + 8*d. Let p(b) = -8*g(b) + 3*o(b). Find the third derivative of p(v) wrt v. 192*v Let b(w) = 10*w**2 + 31*w - 4. Let o(s) = -21*s**2 - 62*s + 7. Let f(c) = 7*b(c) + 4*o(c). Find the second derivative of f(p) wrt p. -28 Let n = 1 - -9. Suppose n*t - 5*t = 10. Find the third derivative of -4 + 4 + 3*l**3 - t*l**2 wrt l. 18 Let l(r) = 2*r**2 + 2*r + 3. Let g(f) = -5*f**2 - 4*f - 5. Let v(j) = -6*g(j) - 10*l(j). Find the second derivative of v(n) wrt n. 20 Let y = 16 - -18. Suppose y = -5*g + 4. Let l(q) = -2*q**2 - 5*q + 6. Let z(w) = w - 1. Let t(u) = g*z(u) - l(u). What is the second derivative of t(d) wrt d? 4 Let p(z) be the third derivative of z**4/3 +
{ "pile_set_name": "DM Mathematics" }
. Let b be u(-5). Suppose 2/7*f**b - 2/7*f + 0 = 0. Calculate f. 0, 1 Let s(t) be the third derivative of t**6/900 + t**5/450 - t**4/180 - t**3/45 + 41*t**2 + 2. Determine j so that s(j) = 0. -1, 1 Let 2/7*d + 1/7 - 4/7*d**2 + 3/7*d**4 - 2/7*d**3 = 0. Calculate d. -1, -1/3, 1 Let d(b) = -54*b - 51. Let l be d(-6). Let i be (6 - l/49)/((-3)/(-8)). Factor -i*z - 16/7*z**2 + 0 - 10/7*z**3 - 2/7*z**4. -2*z*(z + 1)*(z + 2)**2/7 Factor 47/5*x - 1/5*x**2 + 0. -x*(x - 47)/5 Suppose -8*k - 13*k = -2*k. Let m(z) be the second derivative of 1/15*z**3 - 1/60*z**4 + 0 + k*z**2 - 4*z - 1/100*z**5. Factor m(s). -s*(s - 1)*(s + 2)/5 Suppose 3*i - 57 = -14*i - 2*i. Factor -p**2 + 4 + 2*p - 1/2*p**i. -(p - 2)*(p + 2)**2/2 Let j(w) be the third derivative of 1/24*w**3 - 1/280*w**7 + 1/120*w**5 - 1/24*w**4 + 0 + 1/120*w**6 + 0*w - 29*w**2. Find f, given that j(f) = 0. -1, 1/3, 1 Suppose 12 + 21 = 11*d. Let m(p) be the second derivative of 0*p**2 + 1/12*p**4 - 1/6*p**7 + 0 + 1/3*p**d - 3/4*p**5 + 19/30*p**6 + 3*p. Factor m(z). -z*(z - 1)**3*(7*z + 2) Let i be ((-228)/(-22) + -10)/((-3)/(-6)). Determine n, given that -2/11*n - 8/11*n**4 + i*n**2 + 0 + 2/11*n**3 = 0. -1, 0, 1/4, 1 Let r(p) be the third derivative of -6/5*p**6 - 8*p**3 + 9/10*p**7 - 22/5*p**5 - 2*p**2 + 0*p + 10*p**4 + 27/112*p**8 + 5. Solve r(h) = 0 for h. -2, 1/3, 2/3 Let p be 98/114 + 1/(-3). Let m = 973/10 - 18347/190. Suppose -p*r - m*r**2 + 4/19 = 0. Calculate r. -1, 2/7 Let g be (1 + 1/2)/(13/(520/30)). Factor 5/7*j - 1/7*j**g - 6/7. -(j - 3)*(j - 2)/7 Let q(s) be the first derivative of s**6/720 - s**4/12 - s**3 + s**2/2 - 52. Let t(x) be the third derivative of q(x). Factor t(b). (b - 2)*(b + 2)/2 Let r(j) be the first derivative of -j**6/12 - j**5/10 + 3*j**4/8 + j**3/6 - j**2/2 + 2. Solve r(c) = 0 for c. -2, -1, 0, 1 Factor -19776 - 26*j + 774*j - 58*j + 59451 + 3*j**2. 3*(j + 115)**2 Let g(t) be the first derivative of -5*t**6/3 - 15*t**5 - 45*t**4/2 + 5*t**3/3 + 15*t**2 - 32. What is p in g(p) = 0? -6, -1, 0, 1/2 Let u(p) = -5*p**3 - 90*p**2 - 167*p + 2422. Let i(k) = -10*k**3 - 180*k**2 - 335*k + 4845. Let g(j) = -2*i(j) + 5*u(j). Factor g(m). -5*(m - 4)*(m + 11)**2 Factor -5*i**5 + 20*i**2 + 10*i**2 + 5*i - 10*i**4 - 20*i**2. -5*i*(i - 1)*(i + 1)**3 Let 14/11*m**3 - 10/11*m**2 - 14/11*m - 2/11*m**4 + 12/11 = 0. What is m? -1, 1, 6 Find a such that 44*a**4 + 31 + 4*a + 4*a**5 + 3656*a**2 - 3744*a**2 - 8*a**3 + 13 = 0. -11, -1, 1 Let h(l) be the third derivative of l**6/480 + l**5/48 - l**4/96 - 5*l**3/24 - l**2 + 39. Let h(a) = 0. What is a? -5, -1, 1 Let i(o) be the first derivative of 3*o**6/2 - 26*o**5/5 - o**4 + 40*o**3/3 - 709. What is f in i(f) = 0? -10/9, 0, 2 Let r be ((-1)/15)/((-8)/(-620)) - (-2640)/440. Factor r*l - 2/3 - 1/6*l**2. -(l - 4)*(l - 1)/6 Let y(p) = -p**3 + 2*p**2 + 1. Let h(w) = -4*w**3 - 2096*w**2 + 371712*w - 21807096. Let l(q) = h(q) - 8*y(q). Factor l(r). 4*(r - 176)**3 Let a(w) be the second derivative of -w**7/1540 + w**6/660 - w**5/660 + 13*w**4/12 - 9*w. Let u(b) be the third derivative of a(b). Factor u(f). -2*(3*f - 1)**2/11 Let w(c) be the second derivative of c**5/30 - c**4/12 - 21*c**2/2 + 2*c. Let n(x) be the first derivative of w(x). Factor n(i). 2*i*(i - 1) Suppose -5*a - 31 = 6*m - 4*m, 0 = -3*m + 2*a - 94. Let b = m + 31. Suppose 0 + 8/5*u**2 + 0*u - 2/5*u**b = 0. What is u? 0, 4 Suppose -1 = -d + 1. Solve 33*t**3 + 8*t + 87*t**2 - d*t - 48*t**2 = 0 for t. -1, -2/11, 0 Let s = -47373/7 + 6768. Factor -18/7 + s*u + 6/7*u**2. 3*(u + 2)*(2*u - 3)/7 Let c(v) be the first derivative of 1 + v + 1/18*v**4 - 2/9*v**3 + 1/3*v**2. Let o(p) be the first derivative of c(p). Solve o(k) = 0. 1 Suppose 0 = -3*d - 3*z + 12, d = 6*d - 5*z - 40. Let v = d - 2. Let 4*l + 3*l**2 - v*l**2 + 3*l**2 - 2*l**3 = 0. What is l? -1, 0, 2 Let -14023*g**2 - 7*g**4 + 14063*g**2 - 3*g**4 + 5*g**3 - 20*g = 0. Calculate g. -2, 0, 1/2, 2 Let v be 18/15 - (-1)/(-5) - 5. Let r be -5 + (-1595)/(-315) - v/18. Factor 0*h + 0 + 0*h**2 - r*h**4 + 2/7*h**3. -2*h**3*(h - 1)/7 Let o be ((-1)/(-6))/(-1) - 429/378. Let f = o + 379/63. Suppose -36/7*k + 75/7*k**4 + 90/7*k**3 - f*k**2 + 12/7 = 0. What is k? -1, 2/5 Let z be 2 + ((-16)/4 - -2). Suppose -4*n - 2*o - 2 = 0, 4*o = -z*n + 4*n - 28. Factor -10*x**2 + 4*x - 4 + 21*x**2 - 7*x**n - 4*x**3. -4*(x - 1)**2*(x + 1) Suppose 4*c - 48 = 44. Suppose -h + 3*m = -3 - 6, -5*m - c = -3*h. Factor v**5 - v + 2*v**2 + h*v**2 - 2*v**4 + 0*v**2 - 6*v**2. v*(v - 1)**3*(v + 1) Determine d, given that 384 - 16*d + 1/6*d**2 = 0. 48 Let v be 0*((-396)/(-22))/(-36). Factor -2/17*k**4 + 0 + 0*k**2 + v*k - 8/17*k**3. -2*k**3*(k + 4)/17 Let m be 5 - (-6)/(0 + -3). Suppose q**m + q**4 + 113*q - 2*q**2 - 113*q = 0. Calculate q. -2, 0, 1 Let a be -1*(-1 + (1 - 0)). Suppose -2*c + 6 = -w, a = 4*w + 6*c - 2*c - 12. What is m in w*m + 0 - 2/9*m**3 + 0*m**2 = 0? 0 Suppose 5*u - 3*n = 21, -9 + 1 = -2*u + n. Factor 88*y**2 + 4*y**4 + 59 - 271*y**u + 137 - 336*y + 319*y**3. 4*(y - 1)**2*(y + 7)**2 Let g be -21*((-10)/(-6) - 2). Suppose -x = -g + 3. Let x - 2*d**2 + 4*d**2 - 6*d + 0*d**2 + 0*d = 0. What is d? 1, 2 Let z(d) be the first derivative of 3*d**5/40 - d**4/2 + d**3 + 7*d**2/2 + 4. Let t(h) be the second derivative of z(h). Suppose t(i) = 0. What is i? 2/3, 2 Factor 39*a**2 - 105*a**2 + 27*a**2 + 36*a**2 - 24 - 30*a + 3*a**3. 3*(a - 4)*(a + 1)*(a + 2) Let d(r) be the second derivative of r**4/30 + 7*r**3/15 - 8*r**2/5 - 2*r - 5. Determine m, given that d(m) = 0. -8, 1 Let p(k) be the first derivative of -1/5*k**2 + 4/5*k + 1/10*k**4 - 4/15*k**3 + 13. Let p(d) = 0. What is d? -1, 1, 2 Let q(t) = 139*t**3 + 797*t**2 - 3475*t - 611. Let k(s) = -28*s**3 - 159*s**2 + 695*s + 122. Let c(y) = -11*k(y) - 2*q(y). Determine a, given that c(a) = 0. -8, -1/6, 3 Suppose 0 + 4/5*b**2 + 0*b - 2/5*b**3 = 0. Calculate b. 0, 2 Let p(u) = -3*u**3 + u**2 - 4*u - 5. Let i be (-4)/(-2)*5/(-10). Let b be p(i). Factor 1/2*c + b*c**2 + 0. c*(6*c + 1)/2 Let a(k) = k**2 - 4*k + 3. Let j(y) = y - 1. Let i(z) = -5*a(z) + 15*j(z). Suppose i(w) = 0. What is w? 1, 6 Let l(t) = -t**3 + 15*t**2 - 48*t + 61. Let p(q) = -q**2 + 1. Let h(k) = -4*l(k) - 12*p(k). Factor h(z). 4*(z - 4)**3 Let d(f) be the first derivative of 4*f**3/3 + 70*f**2 + 136*f - 235. Factor d(q). 4*(q + 1)*(q + 34) Suppose -85 = -24*z - 24 + 11. Factor -6/13 + 2/13*t**z + 6/13*t**2 - 2/13*t. 2*(t - 1)*(t + 1)*(t + 3)/13 Let j be (-1 + 24/40)/(2/(-20)). Let y(m) be the first derivative of 0*m + 2*m**2 + 8/3*m**3 - 8 + m**j. Find g such that y(g) = 0. -1, 0 Factor 2/7 + 2/7*y**2 - 4/7*y. 2*(y - 1)**2/7 Let t(z) be the second derivative of -z**7/168 - 17*z**6/480 - z**5/15 - z**4/24 - 8*z**2 + 14*z. Let h(j) be the first derivative of t(j). Factor h(n). -n*(n + 1)*(n + 2)*(5*n + 2)/4 Determine a so that 2/3*a**4 + 0 + 4/3*a**3 - 14/3*a**2 + 8/3*a = 0. -4, 0, 1 Suppose 0 = -2*y + 36. Let o be 24/(-16) + y/4. Factor -3*z**2 - 8*z + 3*z**4 - z**o + z**5 + 9*z - z. z**2*(z - 1)*(z + 1)*(z + 3) Let c(t) be the first derivative of 2/9*t**3 - 39 + 1/3*t**2 + 0*t. Find z, given that c(z) = 0. -1, 0 Let t = -8317 - -8317. What is k in 1/10*k**3 + 8/5*k**2 + t + 32/5*k = 0? -8, 0 Let c be -6*(-60)/(-9)*-1. Suppose -5 = x, 0 = -3*k + 4*x + 46 + c. Factor 2*o**3 - 35*o**3 - 6*o**2 + o**5 - k*o**5 - 48*o**4. -3*o**2*(o + 1)**2*(7*o + 2) Let h(m) = -m**3. Let u be ((-6)/(-9))/((-10)/15). Let b(j) = 5*j**4 + 53*j**3 + 180*j**2 + 80*j - 320. Let y(c) = u*b(c) + 2*h(c). Factor y(l). -5*(l - 1)*(l + 4)**3 Let z(n) = -n**2 - 10*n - 11. Let q be z(-8). Find w such that -6*w + 0*w + 18*w**3 + 27*w**2 - 63*w**3 + 33*w**4 - 9*w**q = 0. 0, 2/3, 1 Let w = -8073 + 72659/9. Determine h so that 0*h + w*h**3 + 0 - 2/9*h**2 = 0. 0, 1 Let h(q) be the second derivative of -q**7/126 + q**6/45 + 3*q**5/5 + 43*q**4/18 + 77*q**3/18 + 4*q**2 + 12*q. Determine g so that h(g) = 0. -3, -1, 8 Solve 6*d**5 + 0*d + 0*d**2 - 9/2*d**4 + 0 - 3/2*d**3 = 0 for d. -1/4, 0, 1 Suppose 4*x = -n + 6, n + 3*x - 6 = -2*x. Suppose -6*d + 5*s = -2*d - 13, -n = -4*d - 2*s. Factor -2/11*f**3 + 2/11*f - 2/11 + 2/11*f**d. -2*(f - 1)**2*(f + 1)/11 Let r(o) = -o**3 + 2*o**2 + 1. Let w(u) = -u**4 + 3*u**3 - u**2 + 13*u + 2. Let c(b) = -12*r(b) - 3*w(b). Find g, given that c(g) = 0. -2, -1
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of j(7)? 0 Let s = -439 - -441. Suppose -s*b = 2*o - 648, 0 = -8*o + 3*o + b + 1650. What is the units digit of o? 9 Let j(s) = 14*s**3 + 32*s**2 + 3*s - 105. Let b(y) = 3*y**3 + 8*y**2 + y - 26. Let o(d) = 9*b(d) - 2*j(d). What is the tens digit of o(6)? 6 Let j(o) = 8*o - 8 - 4*o - o + 0*o. Let n(v) = -3*v + 7. Let g(q) = -6*j(q) - 4*n(q). What is the tens digit of g(-8)? 6 Let o(g) = -53*g**3 - 2*g**2 + 37*g + 212. What is the tens digit of o(-8)? 2 Suppose 1499625 = -163*d + 256*d. What is the thousands digit of d? 6 What is the tens digit of (402/268)/(2 + (-11485)/5744)? 7 Let z be 4 - 421*(-4 + 3 + -3). Suppose 5*b - z - 1662 = 0. What is the tens digit of b? 7 Let m = 448 - 457. What is the units digit of ((-3)/m)/(8 - 53180/6648)? 4 Let f be (-138)/3*(2 - 1). Let q be 8/56 - 26562/(-266). Let g = q - f. What is the hundreds digit of g? 1 What is the tens digit of (-377)/58*(-11896 + -14)? 1 What is the units digit of -1 + 0 + 3140 - (-28 - (-20 - 10))? 7 Let z(r) be the third derivative of -r**5/60 - 17*r**4/8 + 59*r**3/6 + 10*r**2 - 2*r. What is the hundreds digit of z(-43)? 4 Let p = 38 - 33. Suppose -4*q + 2365 = 2*k + 825, -p*k + q = -3883. What is the hundreds digit of k? 7 Suppose 4*l - 2*f = 20686, -l + 5*f - 717 = -5902. What is the thousands digit of l? 5 Let f(i) = -i**2 + 40*i + 89. Let s be f(30). Let b = s - -453. What is the units digit of b? 2 Let w(c) = -c**3 - 16*c**2 + 17*c + 6. Let j be w(-17). Suppose 5 = j*p - p. What is the units digit of (p - 10/15)*93? 1 Let t = -34 + 38. Suppose 60 = 5*p - t*b - 16, -p = b - 17. What is the tens digit of (1 + p/(-20))*4*60? 4 Let s be ((-28)/8)/(4/8). Let z(x) = -3*x**2 - 9 + 2*x**2 - 10*x + 0*x. What is the units digit of z(s)? 2 Suppose 657 = 4*t - 13*t. Let l = -13 - t. Suppose h - l = 4*v - 361, 0 = 2*h - 6. What is the tens digit of v? 7 Let f(s) = s**3 - 20*s**2 + 29*s - 23. Let j be f(24). Suppose -2234 = -9*n + j. What is the tens digit of n? 7 Let p = -3094 - -12960. What is the tens digit of p? 6 Suppose -13 = 3*i + 4*q, i + 2*i + 4 = 5*q. Let v be (-6)/i - -2*1. Suppose 290 = v*k + 6. What is the units digit of k? 1 What is the hundreds digit of (-41)/((-656)/(-56))*1164/(-7)? 5 Let a(d) = d**3 + 9*d**2 + 15*d + 9. Let f be a(-7). Suppose r + 94 = -h, 5*h + 92 = -r + f*h. Let p = r + 217. What is the tens digit of p? 2 Let u(b) = 18*b**3 - b**2 + b. Let f be u(1). Suppose 4 = -r + 5*i + 1, -4*i + 8 = 2*r. Let q = f - r. What is the tens digit of q? 1 Suppose -3*w = 5*l - 13704, 5*w - 5*l - 7125 = 15755. What is the hundreds digit of w? 5 Let k = 19244 - 12997. What is the thousands digit of k? 6 Suppose -105 = 2*v - 491. Let t = v - -269. What is the tens digit of t? 6 Let d be -4 + (0 - -7) - (2 + -1). What is the hundreds digit of 1027 - (d/8)/((-36)/(-720))? 0 What is the tens digit of 10*74/30*3684/8? 5 What is the hundreds digit of -4 + (-72693)/(-15) + 2 - (-10)/(-50)? 8 What is the thousands digit of 18 - 91/((-91)/70884)? 0 Let q be ((-15)/10)/((-2 + -1)/(-12)). What is the units digit of 1269/3 - 3/9*q? 5 Suppose -17934 = -35*d + 29876. Suppose -g + 2*g - 4*f = d, -4*g = -3*f - 5529. What is the tens digit of g? 8 Let l = 28169 - 6196. What is the ten thousands digit of l? 2 Suppose 18*k = 63131 - 36446 + 43173. What is the units digit of k? 1 Let w = 13115 - 608. What is the thousands digit of w? 2 Let k be 11 - (0 + 2 + -1). Let y(c) = 2*c**3 + 11*c**2 - 6*c + 148. Let f be y(-7). Suppose 0 = 3*q - f + k. What is the tens digit of q? 1 Let z(q) = 14*q**2 + 111*q + 4253. What is the hundreds digit of z(-61)? 5 Let v = 66232 + -42448. What is the tens digit of v? 8 Suppose -77*r - 5772 = -83*r. Let j = -471 + r. What is the units digit of j? 1 Suppose -74*p + 484663 = -337033. What is the hundreds digit of p? 1 Suppose -71*y + 3582734 + 798392 = 0. What is the thousands digit of y? 1 Suppose 4*g = 12, -5*g = s - 4 - 22. Suppose 6*c - s*c - 5 = 0. What is the tens digit of ((-2)/(-16)*-82)/(c/4)? 4 Let c(i) = 14*i**2 - 10*i + 90. Let t be c(6). Suppose l = 320 + t. What is the tens digit of l? 5 Let p(z) = -83*z - 392. Let x(g) = 124*g + 589. Let l(b) = 8*p(b) + 5*x(b). What is the hundreds digit of l(-23)? 8 Let v be (2 + 7)/(-1)*(15 - 0). What is the units digit of (-6064)/(-9) - 30/v? 4 Suppose 0 = 2*f + g - 22, -2*f + 38 = 4*g + g. Let m = f - -215. What is the hundreds digit of m? 2 Let x = -326 - -320. What is the tens digit of 1*3/(-1) + x + 435? 2 Let k(p) = p**2 + 12*p + 24. Let x be k(-13). Let u = 219 - x. What is the hundreds digit of u? 1 Suppose -24740 = -12*p + 35548. Suppose -5*j + 7*j = 3*v - p, -4*j + 8344 = 5*v. Suppose v = 22*l - 14*l. What is the tens digit of l? 0 What is the hundreds digit of (98/28 + -5)*(-27682)/3? 8 Let d = 176322 + -123019. What is the thousands digit of d? 3 Suppose -4*j = -g - 128, -g - 3*j - 112 = j. Let q(l) = l**2 + 15*l - 23. Let f be q(-13). Let s = f - g. What is the tens digit of s? 7 Let r(h) = -4*h**3 - 12*h**2 - 15*h + 25. Let i be r(-9). Let k = i - 1351. What is the hundreds digit of k? 7 Suppose -a + 17 = 4*z, 8*z - 12*z + 3*a - 3 = 0. Suppose 569 = z*d - 439. What is the hundreds digit of d? 3 Let m be 2439/4 + 8/32. Suppose 2*r = 34 + m. What is the tens digit of r? 2 Let c(o) = 2880*o**2 - 32*o + 57. What is the hundreds digit of c(2)? 5 Suppose -j - 5*x + 8 = -5, 2*j + 4*x - 20 = 0. Suppose -j = 10*n - 3898. What is the tens digit of n? 8 Suppose 0 = 4*q + 4*o - 36, -5*q + 4*q + 13 = 2*o. Let p = 6 - q. What is the units digit of (420/(-5))/(-2) - p? 1 Suppose 5*x = 3*z - 5*z + 51, 3*z - 49 = -5*x. Suppose -x*o = -14*o. Suppose -3*l + 8*l - 215 = o. What is the tens digit of l? 4 What is the units digit of (-604)/(-3) - (-460)/(-345)? 0 Let s(m) = 43*m**2 - 32*m + 189. What is the tens digit of s(6)? 4 Let s(q) = 2*q**2 + 29*q - 26. Suppose 55 = -3*t - 4*u, 4*t + 39 = -5*u - 34. What is the units digit of s(t)? 9 Let f(n) = 370*n**2 + 93*n - 309. What is the units digit of f(5)? 6 Suppose k + 0*k = -3*o - 31, -k + 24 = -2*o. Let p be (-2 - -1)*(o + 1). Let i(q) = q**3 - 9*q**2 + q - 15. What is the tens digit of i(p)? 9 Let s = 51070 - 28821. What is the thousands digit of s? 2 Suppose 0 = 4*v + 3242*o - 3239*o - 178376, 3*o - 89182 = -2*v. What is the thousands digit of v? 4 Suppose -446 = -j - r + 120, -5*j + 2850 = -5*r. Let x(v) = 3 + j*v**2 - 550*v**2 + 8*v - 3*v + 5*v. What is the units digit of x(-3)? 5 What is the tens digit of (42634/22)/(191/2101)? 1 Suppose -876 + 348 = -4*b. Suppose -b - 692 = -8*y. Suppose -3*k + y = 4*n - 2*n, 4*n - 136 = -4*k. What is the units digit of k? 5 Let t be -1 - ((124 - 2) + -3). Let l be (-2 - 10/(-4))/(2/t). Let u = 83 + l. What is the units digit of u? 3 Let i(d) be the first derivative of 37*d**3 - 3*d**2 + 8*d + 102. What is the units digit of i(2)? 0 Let c be (28/16)/(2/(-24)). Let s be (-6)/c - 719/7*-1. Suppose 10*h - 9*h = s. What is the tens digit of h? 0 Suppose 4*l + 3*a = 17, 2*a = -4*l + 27 - 9. Suppose -2*i + 10 = -4*o, -5*o + 55 = l*i - 3*i. Suppose -i*u = -10*u - 895. What is the hundreds digit of u? 1 What is the units digit of (75230 - -173) + -1*5 + 0? 8 Let v = 11218 + -3420. What is the hundreds digit of v? 7 Suppose l - 98 = -52. Let z be (-74)/(-8) - (5 - l/8). Suppose 2*a + z*a - 1080 = 0. What is the tens digit of a? 9 Suppose 4*c = -4, -3*j + 1562 + 2574 = c. Suppose -f - 29 = -s - 4*f, -12 = 3*f. Suppose s*x - j = 34*x. What is the hundreds digit of x? 1 Let m = 1485 - 2304. Let s = m - -1235. Suppose 508 + 526 = 5*c - 4*h, 0 = 2*c - h - s. What is the units digit of c? 0 Suppose -43*x - 6*g + 2061 = -40*x, -2*x + 5*g + 1374 = 0. What is the units digit of x? 7 Suppose -3*r + 7*r - 19250 = 5*q, -r = 2*q - 4806. What is the tens digit of r? 1 Let b = 4269 - -5352. What is the tens digit of b? 2 Suppose -5*b = 4*w - 30456, -2*b - 3*w = -5*b + 18252. What is the thousands digit of b? 6 Suppose -2375*s = -2379*s + 77580. What is the thousands digit of s? 9 Suppose 25 = 3*h - 8*h. Let w(u) = u**3 + 6*u**2 - 13*u + 3. Let m be w(h). What is the units digit of m/33 + -3 + (-123)/(-11)? 1 Let n(f) = f**3 - 11*f**2 + 30*f - 54. What is the units digit of n(14)? 4 Let p(m) = 13*m**2 + 7 - 7*m - 20*m**2 + 11*m*
{ "pile_set_name": "DM Mathematics" }
to base 11 242 Convert 2210021000 (base 3) to base 7. 315645 What is -1116 (base 7) in base 13? -252 What is a6 (base 11) in base 14? 84 Convert -3010322 (base 4) to base 16. -313a What is -139a6 (base 11) in base 9? -30183 Convert -17 (base 15) to base 14. -18 Convert -31333 (base 4) to base 15. -3ea Convert -23575 (base 9) to base 10. -15782 What is -5248 (base 10) in base 12? -3054 Convert -12201112 (base 3) to base 15. -1382 -32140 (base 5) to base 6 -14014 Convert -245a8 (base 11) to base 5. -2112304 What is e25 (base 15) in base 3? 11100222 What is -1011013 (base 5) in base 6? -203503 -2582 (base 9) to base 14 -9c5 Convert 1012020 (base 4) to base 7. 16041 -10010111101 (base 2) to base 16 -4bd Convert 76b7 (base 12) to base 11. 9929 3003 (base 12) to base 7 21060 177 (base 9) to base 15 a1 -1006 (base 8) to base 11 -431 1243 (base 6) to base 9 380 What is 10110011111 (base 2) in base 16? 59f Convert 20300131 (base 4) to base 6. 434021 Convert 1200211111 (base 3) to base 7. 166261 299 (base 11) to base 7 1010 Convert 1560 (base 13) to base 9. 4246 Convert 23e (base 16) to base 4. 20332 Convert -3121 (base 6) to base 16. -2b9 Convert -113 (base 15) to base 7. -465 What is 443a (base 12) in base 14? 2a62 What is -11223 (base 7) in base 8? -5453 Convert 357 (base 11) to base 16. 1a9 414 (base 9) to base 13 1cc -6233 (base 7) to base 10 -2180 What is 67413 (base 8) in base 4? 12330023 Convert -111201 (base 4) to base 16. -561 What is -65341 (base 7) in base 4? -3332221 What is -5002 (base 12) in base 4? -2013002 What is 84375 (base 9) in base 15? 11795 What is -1692 (base 11) in base 9? -2857 What is 3523 (base 8) in base 10? 1875 What is -3642 (base 8) in base 7? -5461 Convert -6137 (base 12) to base 4. -2210323 Convert -526 (base 11) to base 10. -633 211244 (base 7) to base 14 d424 352a (base 11) to base 15 158a What is -14313 (base 5) in base 6? -5332 What is 220120 (base 3) in base 7? 1635 What is 1111001 (base 4) in base 15? 192b -5104 (base 7) to base 5 -24033 Convert -92 (base 10) to base 11. -84 What is -21a1 (base 12) in base 9? -5084 What is 10212 (base 5) in base 16? 2aa Convert 100144 (base 6) to base 9. 11671 2bbb (base 14) to base 13 3729 What is -84 (base 14) in base 16? -74 What is -321 (base 5) in base 6? -222 What is -702 (base 11) in base 2? -1101010001 Convert -12734 (base 8) to base 5. -134341 Convert 222111100 (base 3) to base 14. 7078 1000000110000011 (base 2) to base 9 50428 Convert 19baa (base 12) to base 9. 57114 -86c (base 13) to base 3 -1222102 31000 (base 4) to base 16 340 -191 (base 14) to base 7 -641 Convert 24a (base 13) to base 8. 620 Convert 22035 (base 7) to base 11. 4163 What is 30110 (base 5) in base 12? 1129 Convert 1457 (base 11) to base 12. 1105 Convert -1067 (base 11) to base 13. -840 What is c55c (base 13) in base 3? 1101102121 -2301 (base 8) to base 11 -a07 What is 2b6c (base 13) in base 3? 22200221 4130310 (base 5) to base 14 1a8b2 Convert -1399 (base 11) to base 5. -24202 Convert 141402 (base 5) to base 14. 21c0 Convert -11100111011010 (base 2) to base 14. -557c Convert 100221100 (base 3) to base 14. 28d7 What is -779a (base 11) in base 15? -309d 2201202221 (base 3) to base 2 1101001000010110 Convert 8033 (base 12) to base 5. 420423 4c9 (base 16) to base 2 10011001001 What is 3020 (base 5) in base 8? 601 -23a (base 11) to base 12 -1b9 What is 310000 (base 4) in base 10? 3328 Convert 51054 (base 6) to base 2. 1101001001010 12b5 (base 12) to base 6 13545 320421 (base 5) to base 13 4b6b What is 29303 (base 11) in base 7? 232235 What is 1120 (base 14) in base 9? 4057 Convert -3973 (base 11) to base 8. -12052 What is 32310 (base 4) in base 2? 1110110100 Convert -10030130 (base 4) to base 9. -25508 What is 192 (base 11) in base 12? 166 Convert -220 (base 6) to base 5. -314 What is 114131 (base 7) in base 10? 20651 -1440 (base 7) to base 13 -348 What is -132455 (base 6) in base 4? -2333303 What is -132224 (base 5) in base 8? -12302 What is 736 (base 8) in base 12? 33a Convert -3233 (base 9) to base 10. -2379 What is -36106 (base 11) in base 14? -14d6c Convert 19396 (base 12) to base 8. 107742 Convert -31340 (base 5) to base 15. -94a Convert 1479 (base 13) to base 14. 1125 Convert 24302 (base 6) to base 3. 11220002 -95b8 (base 12) to base 13 -7616 What is -103211 (base 6) in base 11? -6430 Convert -135641 (base 7) to base 10. -26048 222231 (base 4) to base 7 10653 What is 890 (base 10) in base 7? 2411 1db (base 14) to base 4 12011 54b (base 14) to base 8 2027 What is 1100100100 (base 2) in base 12? 570 Convert -3433 (base 8) to base 15. -814 1445 (base 6) to base 11 324 Convert -20112 (base 3) to base 4. -2300 -e18 (base 15) to base 16 -c65 Convert -1010001100 (base 2) to base 15. -2d7 949 (base 10) to base 5 12244 What is -ed (base 16) in base 15? -10c 12001030 (base 4) to base 3 1020211001 What is 1036 (base 7) in base 9? 451 What is -250 (base 15) in base 7? -1350 What is -28e9 (base 16) in base 5? -313343 Convert 1092 (base 11) to base 13. 862 Convert -35a6 (base 13) to base 14. -2a8c -225 (base 16) to base 13 -333 Convert 5378 (base 9) to base 3. 12102122 Convert 53a (base 14) to base 9. 1366 What is -c50 (base 13) in base 5? -31333 What is 111001100 (base 2) in base 3? 122001 What is -6283 (base 9) in base 8? -11003 Convert 512 (base 7) to base 14. 142 756 (base 13) to base 7 3441 What is 11000001101 (base 2) in base 16? 60d What is 5614 (base 7) in base 5? 31040 76 (base 10) to base 9 84 9e8 (base 15) to base 13 1037 -12c (base 13) to base 7 -414 485 (base 9) to base 10 401 What is -27c (base 15) in base 12? -3b3 2210012 (base 3) to base 5 31110 110111110000 (base 2) to base 4 313300 Convert 1124220 (base 5) to base 13. 9487 Convert 35b (base 16) to base 5. 11414 -1403001 (base 6) to base 11 -53a01 What is -1484 (base 11) in base 10? -1907 -1011111011000 (base 2) to base 15 -1c1e Convert -1081 (base 12) to base 7. -5215 What is -1097 (base 10) in base 4? -101021 What is -222211 (base 4) in base 2? -101010100101 Convert -8010 (base 9) to base 8. -13321 What is 638 (base 11) in base 8? 1377 21000122 (base 3) to base 15 17b5 Convert 720 (base 9) to base 13. 360 472 (base 13) to base 10 769 -14002 (base 6) to base 7 -6206 Convert 5456 (base 11) to base 16. 1c20 What is 60a5 (base 12) in base 2? 10100011111101 What is 973 (base 14) in base 12? 10b5 Convert 1545 (base 6) to base 7. 1145 Convert b749 (base 15) to base 8. 113561 422414 (base 5) to base 9 21316 What is -b6c (base 15) in base 7? -10341 -204 (base 14) to base 6 -1500 36a (base 12) to base 10 514 149a (base 13) to base 4 232320 100000101 (base 2) to base 16 105 -140f (base 16) to base 4 -1100033 Convert -986 (base 14) to base 6. -12414 Convert 5925 (base 10) to base 7. 23163 828 (base 13) to base 4 111222 -17489 (base 10) to base 14 -6533 -20211 (base 4) to base 9 -670 22444 (base 5) to base 10 1624 39ba (base 12) to base 7 25210 What is -3d0 (base 14) in base 13? -473 What is -745 (base 11) in base 12? -628 Convert 8714 (base 14) to base 13. a817 What is -33044 (base 8) in base 11? -a460 -24664 (base 9) to base 11 -11505 Convert 16d8 (base 16) to base 6. 43024 Convert 9c0 (base 15) to base 16. 89d 14b5 (base 16) to base 2 1010010110101 Convert 33100 (base 9) to base 7. 120666 Convert 1225 (base 13) to base 11. 1a23 Convert -485 (base 9) to base 4. -12101 What is -13300233 (base 4) in base 12? -16493 Convert 42301 (base 6) to base 9. 7761 Convert 9851 (base 10) to base 8. 23173 Convert 84 (base 14) to base 6. 312 5b93 (base 15) to base 16 4c20 -1000001110000 (base 2) to base 7 -15161 Convert -408 (base 10) to base 9. -503 -125 (base 11) to base 14 -a8 855a (base 11) to base 16 2c36 -2022332 (base 4) to base 16 -22be 110011101 (base 2) to base 5 3123 What is -c76 (base 16) in base 12? -1a1a What is b65 (base 15) in base 6? 15522 What is 3500 (base 6) in base 10? 828 Convert -103133 (base 4) to base 11. -a34 -5577 (base 9) to base 3 -12122121 2054 (base 12) to base 16 dc0 What is 11000001 (base 3) in base 12? 1831 Convert -21203 (base 5) to base 4. -112110 What is 312103 (base 4) in base 8? 6623 6888 (base 10) to base 9 10403 32064 (base 10) to base 6 404240 -103b (base 15) to base 13 -173c Convert 56011 (base 9) to base 4. 21011011 255c (b
{ "pile_set_name": "DM Mathematics" }
alse Let v = -120 - -38. Let n be (v/16 - -5)/((-3)/4). Suppose c = -3*f - 11, -3*c = f - 4*f - 15. Is c != n? True Suppose 9 - 26 = w. Let l be 0 + (w/11 - -1). Let d(s) = s**3 - 13*s**2 - 10*s - 56. Let m be d(14). Which is smaller: m or l? l Suppose 25 - 5 = -4*t. Let v be t/(-15) - (-41)/3. Suppose -2*r = f - 6, -4*f - 3*r = -5*f - v. Is -7/5 >= f? True Let q = 3 - 2. Let t be (4 + -7)*2*q/4. Let w = 3 - 2. Which is greater: t or w? w Suppose 0 = -12*j + 9*j. Let s be (-12)/((-4)/(j + -4)). Is -12 greater than s? False Let q = 2075.1 + -2075. Is -733 <= q? True Let u = -373 - -348. Which is greater: -33 or u? u Let x = -0.96 - -1. Let m = x + -12.04. Let q = 28740 - 28742. Which is smaller: q or m? m Let l = 876 + -907. Does 1.2 = l? False Suppose -5*z + 145 = -5*t, 4*t + 4*z - 93 = -249. Let s be t/(-40) - 2/8. Which is smaller: s or -0.2? -0.2 Suppose 24*y - 5 = -101. Is y <= -80/21? True Let g be (-1458)/45*(-5)/2. Let m be g/273 + (2 - (-28)/(-13)). Which is smaller: m or 1/5? m Let n = 1346 - 1344. Let z = 8 + -6. Let f = 2 + z. Is f > n? True Let r be (-112)/120 + (-4)/(-10). Let v = -107/60 - r. Which is bigger: v or 0? 0 Let j = -2.07 - -0.07. Let h be (-36)/96 + 6/16 + -5. Which is smaller: h or j? h Let t = 2387 - 2838. Which is smaller: -453 or t? -453 Let p(b) = b**3 + 3*b**2 - 4*b - 4. Let u be p(-3). Suppose 0 = -6*m + 3*x + 33, 2*x + 25 = -5*m + 66. Are u and m non-equal? True Suppose 7*b + 8 - 1 = 0. Suppose h - 9 = 4*y + 5, -5*h + 22 = 4*y. Let s be (2*1)/(b - h). Which is bigger: s or -0.3? s Let j = -2016 - -1775. Is 1 smaller than j? False Let q(m) = m**2 - 12*m - 18. Let t be q(14). Suppose 4*i - t = -5*v - i, -2*v - i = 0. Let x = 0.9 - -0.1. Which is smaller: x or v? v Let h be -9*2*(-2)/(-12). Let m = 4 + h. Which is smaller: m or 3/35? 3/35 Suppose 0*h - 2*h + 2 = 0. Let u be 20 + -18 + 1*h/(-2). Suppose 5 = -q + 4, 0 = -3*l - q + 5. Are l and u non-equal? True Let p be 4/18 + -7*(-9185)/693. Which is smaller: p or 466/5? p Let o(f) = -4*f**2 + 41*f + 14. Let b be o(8). Is b > 86? False Suppose -14*j = 149 - 135. Do -5/99 and j have different values? True Let f be 145*(8/(-30) + (-31)/93). Which is greater: -82 or f? -82 Let t = -0.48 - -0.28. Is t not equal to -72? True Let t = 0.2 - 0.1. Suppose -428*m + 88 = -436*m. Which is greater: m or t? t Let p(h) be the first derivative of -h**3/3 - 7*h**2/2 + h - 13. Let v = 2 + -9. Let z be p(v). Are 1 and z non-equal? False Suppose -k + 2*o = -2*o + 14, 0 = -2*k + o + 7. Which is greater: 100/21 or k? k Suppose 3*d - 25 = -16. Suppose 0*k = -t + 5*k + 4, t + 2*k = -10. Let f = t - -10. Which is smaller: f or d? d Suppose -22 = -3*h + 5*q, h - 6*h - q + 46 = 0. Let n = h + -7. Suppose -v = -3*f + n*v + 21, -2*f = -4*v - 16. Is 4 bigger than f? False Suppose -3*n = 5*c - 28, n + n + 4*c = 22. Let u be -5 - (-1 + -1 + -3). Is u smaller than n? True Let d = -104 + 105. Which is smaller: 1/10 or d? 1/10 Let l be 713/20 + 2/(-5). Let o(q) = -q**2 - q + 35. Let x be o(0). Is x at least l? False Let a = -588 + 575. Is -19 greater than a? False Let q = -69 + 32. Let t be 72/21*21/(-2). Which is greater: q or t? t Let t be (5/40)/((-4)/10). Let u be 26/22 - (-18)/(-99). Is u greater than t? True Let v(d) = 26*d + 117. Let s be v(-5). Which is greater: s or 17? 17 Suppose 0 = 2*z - 3*z + 13. Suppose 5*q - 2 - z = 0. Suppose -4*t - 1 = 3*g, -10 = 4*t + 5*g - 3. Which is smaller: t or q? t Let f(n) = -5*n + 4. Let t be f(7). Let a = 127/4 + t. Is a at most 0? False Suppose -2*h = 2*c + 10, 0 = -c + 4*h - 0*h + 20. Let d = c - 4. Let w be (-3)/135 - d/18. Is w not equal to -2/7? True Suppose 0*z = -4*p - 4*z + 12, 5*p - 27 = -2*z. Is 21 smaller than p? False Let q = -13.39 - -13.4433. Which is smaller: q or 0? 0 Suppose -o + 4*o = 15. Suppose 5*w - 5 = 0, -o*h - 13 - 6 = -4*w. Is h bigger than -3? False Suppose 0 = 5*v - 9*v. Suppose v*h = -5*h. Is 1/23 equal to h? False Suppose -4*r = y + 33, -2*r - y = -r + 9. Suppose -3*p - 8 = 4. Let x = r - p. Which is smaller: -3 or x? x Suppose 0 = -4*d - 4, -5*i + 27*d + 4 = 23*d. Suppose 0 = -u + 4*t - 3*t + 1, -4*t - 8 = 0. Let a = 2 + u. Which is smaller: a or i? i Let h = -3 - 0. Suppose 3 + 3 = 3*a. Suppose a*t + 0*t = -2. Which is greater: t or h? t Let j = 2.2 - 2. Let x(l) = 29*l + 117. Let s be x(-4). Is j greater than or equal to s? False Let o be 4 + (-102)/39 - (6 + -3). Which is greater: o or -1? -1 Suppose 11*w = 786 + 1128. Are -0.1 and w nonequal? True Let u = 38 - 2. Let f be (304/u)/(-2) - -4. Which is bigger: f or -5? f Let v = 0 + 5. Let n = -926 - -931. Is n greater than v? False Suppose 3*m = 3*o - 8*o - 82, 5*m = 4*o + 36. Let w be (o/63)/(8/44). Which is bigger: w or 0? 0 Let w be (((-2340)/27)/10)/((-2)/108). Is 466 at most as big as w? True Let x = 0.22 + -133.22. Let r = x - -152.2. Let d = -19 + r. Which is greater: d or 4? 4 Let t be (0/(-2))/(-1 + 3). Let m be (-3)/8*(-6940)/150. Let l = m + -67/4. Which is bigger: t or l? l Suppose -6*h + 360 = -2*h. Let r be (-4)/(-190)*-5 - (-34)/(-38). Let k be (65/h + r)*-3. Is 0 bigger than k? False Let g = 0.1831 - 0.3531. Do g and -5/9 have different values? True Suppose 4*m = -4*t - 28, -t + 16*m - 15*m = 1. Is t greater than -13/5? False Suppose 3*a - 3 - 9 = 0. Let j(q) = q**3 - 3*q**2 - 2*q - 3. Let w = 1 - -3. Let b be j(w). Is b less than a? False Let d = -8896/13 - -684. Suppose -4*w + 18 = 2, 0 = -o - 4*w + 17. Let i be (-1 - -2)/(o - 0). Which is smaller: d or i? d Let u(z) = -9*z - 14. Let g be u(-7). Suppose 5*w - 59 + g = 0. Is 11/4 at most as big as w? False Suppose -6*z + z = 3*j, 5*j = z. Which is greater: 3/38 or z? 3/38 Let q(y) = y**3 + 14*y**2 - 14*y - 2. Let p be q(-15). Let h = 13 + p. Let u = -5.6 + 6. Which is smaller: u or h? h Let t be (-615)/(-18)*((-8)/(-24) - 1). Is -24 at most t? True Let n be (-2 - 5/(-3))*-6. Suppose -4*u + n*u + 6 = 0. Are 1 and u unequal? True Let c be 6/(-555)*11/(-22). Is 1 != c? True Let o = -2588 - -2587.2. Is 62/5 > o? True Let j be (-1)/(0 - 0 - -19). Let b = -107 + 45. Let z = b - -60. Which is smaller: j or z? z Let w = 36 - 46. Let r be w/(-75) + 3/15. Let j = 1 - 1.04. Which is smaller: r or j? j Let f = 39 + -35. Let r be 10*(f/(-4) + 0). Which is smaller: -3 or r? r Suppose 0*d = 3*d - 102. Let w = d + -34. Is w < 1/73? True Let u = -82 - -77. Let g(a) = -3*a**2 - 1. Let s be ((-5)/(-15))/((-2)/(-6)). Let v be g(s). Is v smaller than u? False Suppose 5*b - q - 42 = -3*q, 4*q + 4 = b. Let w be (0 + 4)*-1*b. Let m be (-7)/84*w/(-6). Which is smaller: m or 1? m Let r = -2481/37 - -67. Let u be (0 + 0/(-4))/2. Is r <= u? True Suppose -10*u + 872 = 862. Let s = 1 - 2. Which is bigger: u or s? u Let r be 40/22 - (3 + -1). Let q = -28/117 + 1058/4095. Let j = -109/210 + q. Which is bigger: j or r? r Let t = 30166/29 - 1040. Let g be ((-2)/(-6))/((-464)/60). Let j = g - t. Is j bigger than 0? False Suppose 2*c + 22 = 5*i + 6*c, -4 = 2*c. Let u be (-5)/i + 5/(-30). Let a = 1 + u. Is a at least as big as -4/3? True Let z be 60/(-80) + 2714/(-168). Let u = -88/7 - z. Which is smaller: 1 or u? 1 Let x be 14/(-42) - 22/6. Let n be x/(-14) + (-253)/77. Which is bigger: 3/2 or n? 3/2 Let s = -130.1 + 140.7. Are s and -1/9 non-equal? True Let f = 12 + -25. Let g = f + 14. Let p = 12.7 - 18.7. Is p > g? False Let v(s) = 16*s - 445. Let y be v(28). Is 80/19 < y? False Let s(w) = w**2 - 8*w + 18. Let h be s(4). Let g be 3/((-21)/5)*h/10. Let o = 1 + -1. Which is greater: o or g? o Let g(l) = -2*l - 5. Let q be g(0). Let h be (-9)/((-90)/(-16))*q. Is h >= 7? True Let r(w) = -118*w**3 - w**2 - 2*w + 2. Let c be r(1). Which is bigger: c or -479/4? c Suppose -4*y - 968 = 2*c, 4*y + 548 = -5*c - 414. Are -243 and y non-equal? False Let h = -46/9 - -461/99. Which is smaller: h or 0? h Suppose -2*j - j = 39. Let s(q) = -q**3 - 6*q**2 + 2*q + 17. Let c be s(-5). Let z = c - j. Is z less than or equal to -6? False Let w be ((-1)/(-1)*-3)/10. Suppose f + n - 2 - 24 = 0, -n + 54 = 2*f. Let t be 7/f - (-5)/(-4). Is t >= w? False Let v = -2 - -14. Let d = 17 - v. Suppose 4*r - d*r = 5. Do r and -1 have the same value? False Let v = 766.04 - 766. Which is greater: v or 0.7? 0.7 Suppose -2*v = -6*v - 3*h - 11, -h = v + 3. Let i(n) = n - 2.
{ "pile_set_name": "DM Mathematics" }
s = 5*c, -2*d + 2*c = -3*c - 9. Solve 2*x + d = -w for x. -3 Suppose 5*a = -156 - 29. Let f = a + 49. Solve f = 2*x + 2 for x. 5 Let v(n) = -2*n - 7. Let x(r) = r**2 + 7*r - 2. Let l be x(-6). Let c be v(l). Let a = 7 + c. Solve -5*t - a = -t for t. -4 Suppose 0 = 3*j - 13 + 1. Let u be ((-3)/(-2))/(-3)*0. Let c be 20/4 - (u - -1). Solve 16 + c = j*q for q. 5 Suppose 29 + 1 = 15*q. Solve -5*b = -q*b + 15 for b. -5 Let u be (18/4)/((-1)/2). Let h(j) = -4*j**2 - 10*j - 7. Let v(w) = 7*w**2 + 20*w + 14. Let i(g) = -5*h(g) - 3*v(g). Let y be i(u). Solve 1 + y = -x for x. -3 Suppose 103*f = 27*f. Suppose -100 = 2*j - 6*j. Suppose 11 - 1 = 2*p - v, -3*v - j = -5*p. Solve -h = -f*h + p for h. -5 Let r(w) = -w**3 + 10*w**2 + 4. Let p be r(10). Solve -t + p = 1 for t. 3 Let w = -165 - -165. Suppose 5*l = -a - 4*a + 85, 2*a - 4*l - 22 = w. Solve -4*s - a = s for s. -3 Let c(w) = w**3 - 8*w**2 - 10*w + 5. Let a be c(9). Let l be -4 + (a - -4) - -4. Let n be 1/(-3)*3*l. Solve -3*j + 4*j - 2 = n for j. 2 Let s be (-5 + 1 + 3)*-3. Let d = -15 - -25. Solve -s*u = 2*u - d for u. 2 Let l(c) = -2*c**2 + 2*c + 1. Let n be l(2). Let r = n + 6. Let p = 5 - r. Solve -6*s + 16 = -p*s for s. 4 Suppose 15 = j - 47. Let b = j - 57. Solve 20 = -0*h + b*h for h. 4 Suppose -g = -0 - 6. Let f be (g/(-10))/((-17)/425). Solve 0 = 3*z - f + 3 for z. 4 Let o = 35 + -34. Let v be (o - -3 - 3) + 53. Let r be 60/(-45)*v/(-4). Solve r = -3*j + 6 for j. -4 Suppose 9 - 27 = -5*i - n, -18 = -10*i + 4*n. Let b(h) = h**2 - 6*h + 6. Let d be b(6). Solve -i*u + d*u = -9 for u. -3 Suppose -k + 5 = -4*v, -12*k - 20 = -16*k + 4*v. Solve 5*b = -0*b - k for b. -1 Suppose 3*x - 13*x = -90. Solve -x*l + 50 = l for l. 5 Let z = 1 - 1. Let t(o) = -4*o - 37. Suppose v - 1 = -11. Let h be t(v). Solve -g + z*g = -h for g. 3 Suppose 100*o - 270 = 46*o. Solve o*c = -7*c for c. 0 Let n(o) = o**2 + o - 10. Let v be n(0). Let w = 15 - v. Suppose 0 = -0*z + 5*z - w. Solve z*s = s for s. 0 Suppose 1877 = 25*a + 152. Solve 73*c + 12 = a*c for c. -3 Let k = -2 - 2. Let m be -8 + 5 + 10 + k. Solve -m*g = -g - 2 for g. 1 Let y = 53 + -52. Let n(b) = 9*b + 1. Let a be n(y). Solve 5*k + a = 7*k for k. 5 Suppose 3*z + 0*z = -2*w + 6, -4*z = 0. Let o be (-1 + 7)/(1 + 0). Let y be o - (-7)/((-21)/6). Solve -1 = y*k - w*k for k. -1 Suppose 17*l = 18*l - 3. Solve 0 = -l*j + 5 + 4 for j. 3 Suppose 5*p - z - 52 = 0, 4*p + 28*z - 29 = 33*z. Solve 0 = 12*y + 47 - p for y. -3 Let v(d) = -d**2 + 9*d - 2. Let w be v(8). Suppose -7*u + 8 = -w. Solve -3*b = -b + u for b. -1 Suppose 32*b - 24 = 28*b. Solve b*o = -27 + 3 for o. -4 Suppose 5 - 9 = 4*c. Let k be 1*(-90)/(-5)*c/(-3). Solve -k*v + 20 = -v for v. 4 Let h(n) = n**3 - 5*n**2 - 5*n - 2. Let y be h(6). Suppose y*w = 21 - 5. Let d be (2/1)/w*4. Solve -17 = 3*r - d for r. -5 Suppose 3*f + 7 = 49. Let a be f/6 + 2/(-6). Let z be -7*((-24)/21)/a. Solve o + o = z for o. 2 Suppose 2*d + 5*c = 16, c - 24 = -3*d + 2*c. Solve -d*g = -12*g for g. 0 Suppose 10*d = d + 27. Suppose 30 = 3*s + d*f, -5*s - 2*f = -4*f - 36. Solve -4 = s*z - 6*z for z. -2 Let i = -41 + 128. Suppose 5*t - i = 13. Solve 2*j = -3*j - t for j. -4 Suppose 14*d - 6 = 22. Solve -d*c + 20 = 2*c for c. 5 Let t be (-1578)/(-36) - (-1)/6. Let b = t - 42. Solve 4 = -b*m + 4*m for m. 2 Suppose -p = 5*x - 2*x - 7, -3*x - 21 = -3*p. Suppose p*l + 2 = 2. Let r = 6 + -4. Solve l = -r*n - n for n. 0 Let k be ((-55)/22)/((-2)/4). Solve -35 + 15 = -k*v for v. 4 Suppose -6*p + p + 23 = -4*v, 3*p - 6 = 5*v. Let l(c) = 2 + 0*c - 6 + c**2 - 4*c + p*c. Let j be l(3). Solve j = -5*i - 6 for i. -4 Let d(a) = -2*a**3 - 62*a**2 - 61*a - 30. Let o be d(-30). Let v(j) = j**2 + 7*j. Let q be v(-7). Suppose 4*p = 8 - q. Solve p*b = -o*b - 2 for b. -1 Let m be ((-3)/(-1) - 0)*1. Suppose 4*v = m*z + 6, -10 = -z - 4*z. Suppose -6*s = -v*s - 12. Solve s*q + 5 - 21 = 0 for q. 4 Suppose 4*z - 2*m = -60 - 70, 2*z + 53 = 5*m. Let u(i) = -i**3 - 35*i**2 - 33*i + 35. Let l be u(z). Suppose -2*g - 3 = -3*g. Solve -n - g = l for n. -4 Let t = -23 + 37. Suppose t*v = 9*v. Solve v = m - 4*m - 12 for m. -4 Suppose 21 - 6 = 2*l + 5*g, l = -3*g + 9. Solve -v + 4*v - 15 = l for v. 5 Let l = -34 - -41. Suppose -4*d = -5 - l. Solve -4*f + 1 = -d for f. 1 Let m(p) = -p. Let k(j) = -7*j - 1. Let n(s) = k(s) - m(s). Let b be n(-1). Suppose -9*d + 8 = -7*d. Solve d*i - b = 3*i for i. 5 Let q(z) = -2*z - 6. Let b be q(-9). Suppose -b = -3*r + 24. Solve -l - 3*l = r for l. -3 Let s(y) = y**2 - 4*y - 8. Let n be s(6). Suppose 3*i - 2*z = -n*z - 20, -3*i = -3*z + 15. Let j be (5/15)/((-1)/i). Solve j*h - 5 = -3*h for h. 1 Let f be -1 + 78/24 + 1/(-4). Suppose h + f*a + 17 = 7*a, 0 = 3*h - 4*a + 7. Solve 2*d - h*d + 4 = 0 for d. 4 Let b(c) be the first derivative of c**3/3 + 5*c**2/2 + 9*c + 1. Let d be b(-6). Suppose -s + d = 4*s, 57 = 3*z - s. Solve g + z = -3*g for g. -5 Suppose -2*p + 0*p + 8 = 0. Let q(u) = -7*u + 37. Let x be q(4). Solve 11 + x = p*j for j. 5 Let w(d) = 3*d - 16. Let j be w(6). Suppose 3*l - 10 = j*s, 2 = 4*l - 5*s - 2. Solve l*h - 3 = 3*h for h. 1 Suppose -19*h = 3*h. Solve 5*q - 6*q + 2 = h for q. 2 Let h(t) be the third derivative of -t**6/120 - t**5/60 + t**4/12 + 2*t**3/3 + 7*t**2. Let v be h(0). Solve -w - 9 = -v*w for w. 3 Let b = -132 + 166. Suppose -3*i + b = -2. Solve -i + 0 = -3*q for q. 4 Let v(d) = d**2 - 19*d + 49. Let m be v(17). Solve -2*z - 17 + m = 0 for z. -1 Suppose -6*h - 66 = -17*h. Solve 0 = h*z - 2*z for z. 0 Let i = -65 + 75. Solve -5*a - 5 - i = 0 for a. -3 Suppose 0 = 10*l - 22*l. Solve 2*x + 1 + 3 = l for x. -2 Suppose -4*m - 3*p - 8 - 5 = 0, 4*m + 38 = 2*p. Let o(n) = -n**3 - 7*n**2 - n - 6. Let z be o(m). Solve 5*r + z = 11 for r. 2 Suppose 3*g - 16 = -4. Let v(i) = 2*i**3 - 4*i**2 + i + 3. Let x be v(3). Solve 0 = 5*j + x - g for j. -4 Let s = 38 - 20. Let h = 42 - s. Suppose -6 = 2*r + 4*d, 2*r + h = 6*r - d. Solve 0*x + r*x = -25 for x. -5 Let v(q) = -2*q + 8. Let j be v(3). Let n be (-780)/(-90) - j/3. Solve -y = -3*y - n for y. -4 Suppose 37 = -5*z + 72. Solve -z = -6*y - 1 for y. 1 Suppose g + 19*g = 2260. Solve 116*q + 3 = g*q for q. -1 Let v be 23/7 - (4 - 260/70). Solve 9 = v*k - 3 for k. 4 Let u(j) = -j**2 - 7*j + 32. Let p be u(-10). Suppose -4*n - 17 = -r, -n + 0 = -4*r + 8. Let h(q) = q - 2. Let k be h(5). Solve k*c = r + p for c. 1 Suppose -4*g - 3*n - 2*n + 20 = 0, -5*n = -4*g + 20. Suppose 2*t - 38 = 4*w, -3*t - 16*w = -13*w - 39. Solve -t + 0 = g*k for k. -3 Suppose 4*s + 3*h - 2*h - 12 = 0, 5*s - 15 = 2*h. Let j = -9 + 12. Suppose -j*v - 2 = -4*v. Solve k = v + s for k. 5 Let u(b) = b - 5. Let r be u(7). Let v be (-105)/(-10)*(r + 0). Let w = v - 9. Solve -4*q = -q - w for q. 4 Suppose 9*o - 168 = 2*o. Let p be (-1)/(-3*2/o). Solve -p*u = -u - 9 for u. 3 Let m(c) = -c**2 - 42*c - 211. Let a be m(-36). Solve -8 + a = -d for d. 3 Suppose -2*t = -6 - 14. Let p be (6/5)/(4/t). Let x = 4 + -2. Solve p*m + x = -10 for m. -4 Let x = -1872 - -1894. Solve -7*s - 13 = x for s. -5 Let u(m) = -58*m. Let k be u(-1). Let y = k + -50. Solve 0 = -8*g + 4*g + y for g. 2 Let k = 268 - 265. Solve 24 - 12 = k*h for h. 4 Suppose 0 = 60*s - 57*s - 36. Solve -s = -4*x + 4 for x. 4 Let p be 2/(21/9 - 3). Let s be (-2)/3*((p - 0) + -9). Solve s + 7 = 3*a for a. 5 Let c(u) be the second derivative of -u**5/5 + 13*u**4/12 - u**3/3 + u**2/2 - 9*u + 2. Let z be c(3). Solve -z*l - l = 25 for l. -5 Suppose -12 + 4 = 2*s. Let d be 3 - s/20*-5. Solve d + 4 = -3*h for h. -2 Let b = -302 + 302. Solve -n + b = 1 for n. -1 Suppose 3*i = -2*i + 20. Let l be (-291)/(-99) + (-34)/(-561). Solve l*c - i*c = -3 for c. 3 Let o(m) = m**2 + 4*m - 24. Let y be o(-8). Let n(q) = q**2 - 10*q + 19. Let a be n(y). Solve -6*i = -a*i + 6 for i. -2 Let a(c) be the third derivative of -c**4/24 + 7*c**3/6 - c**2. Let z be a(5). Suppose 0 = -4*n + 239 - 227. Solve -n*w - 1 = z for w. -1 Let b be 4/(-8)*(-1 - -3) - -8. Let d be (-24 - -23)/((-1)/b). Solve 0 = -2*v + d*v - 10 for v. 2 Let k be (0 - (-3)/(-6))*4 + -85. Let n = k - -91. Solve u = 3*u - n for u. 2 Let u(s) = s**3 - 4*s**2 - 28*s - 16. Let c be u(8). Solve n - c + 15 = 0 for n. 1 Let b be (-2)/3 + 12/18. Suppose 4*w = 5*z, -2*w + b*w = -z. Let q be z*(2/6 + 0). Solve -2*o - o + 6 = q
{ "pile_set_name": "DM Mathematics" }
1710 Calculate prob of sequence kn when two letters picked without replacement from okpkpkkna. 1/18 Two letters picked without replacement from {l: 1, g: 4, c: 3, j: 4, h: 5, z: 3}. What is prob of sequence lc? 3/380 Four letters picked without replacement from mmmmmmmmmmmmmmkmmm. What is prob of sequence mmmm? 7/9 Calculate prob of sequence qz when two letters picked without replacement from {d: 2, q: 2, z: 1}. 1/10 Calculate prob of sequence rii when three letters picked without replacement from irbgbrbbbbi. 2/495 Calculate prob of sequence xxpv when four letters picked without replacement from xpxpxpxxovepxp. 25/4004 What is prob of sequence ay when two letters picked without replacement from yyawo? 1/10 Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}. 1 What is prob of sequence hntt when four letters picked without replacement from rhnhtt? 1/90 Two letters picked without replacement from {a: 4, l: 7, u: 4, y: 1, k: 1, q: 2}. What is prob of sequence ya? 2/171 Four letters picked without replacement from {t: 6, n: 5, z: 1, v: 2, j: 1, u: 1}. What is prob of sequence vntn? 1/182 What is prob of sequence dd when two letters picked without replacement from {x: 6, d: 6}? 5/22 Three letters picked without replacement from gpgpppppppp. What is prob of sequence pgg? 1/55 Three letters picked without replacement from {r: 1, y: 1, i: 4, j: 2, l: 2, f: 2}. Give prob of sequence fyr. 1/660 What is prob of sequence tjtt when four letters picked without replacement from {u: 2, j: 6, t: 10}? 1/17 Calculate prob of sequence rrn when three letters picked without replacement from {n: 3, r: 2}. 1/10 Three letters picked without replacement from xxxpxxpppxxxsnx. Give prob of sequence xns. 3/910 Calculate prob of sequence ekek when four letters picked without replacement from {k: 14, e: 5}. 455/11628 Three letters picked without replacement from wwffgwwfwxgfwwgnw. What is prob of sequence fxg? 1/340 What is prob of sequence ala when three letters picked without replacement from qqaalqaq? 1/56 What is prob of sequence cojo when four letters picked without replacement from cccoccmcoojccc? 9/4004 Calculate prob of sequence saq when three letters picked without replacement from {n: 1, k: 3, t: 1, s: 8, q: 1, a: 2}. 1/210 Three letters picked without replacement from tlvdtfx. Give prob of sequence xtf. 1/105 Three letters picked without replacement from bdddabbddbetttet. What is prob of sequence ddt? 1/42 What is prob of sequence ga when two letters picked without replacement from {l: 11, a: 1, g: 3}? 1/70 Four letters picked without replacement from ttntntttcatttttttct. What is prob of sequence nctt? 91/11628 Two letters picked without replacement from lllylllyyll. Give prob of sequence yy. 3/55 Two letters picked without replacement from ffikkfkfi. Give prob of sequence kk. 1/12 What is prob of sequence vvvv when four letters picked without replacement from {v: 7}? 1 What is prob of sequence ph when two letters picked without replacement from {m: 2, p: 3, v: 7, h: 3}? 3/70 Three letters picked without replacement from rokoviokkroeikiekok. What is prob of sequence oio? 10/969 Two letters picked without replacement from flzzynkl. Give prob of sequence yf. 1/56 Calculate prob of sequence ruis when four letters picked without replacement from rirsurriiii. 1/396 Two letters picked without replacement from {f: 2, u: 1, q: 1, r: 2}. What is prob of sequence rq? 1/15 Three letters picked without replacement from beepbeeepp. Give prob of sequence bbe. 1/72 Two letters picked without replacement from uuuuuuuuueuuuuu. Give prob of sequence ue. 1/15 Two letters picked without replacement from {e: 1, y: 1, r: 1, a: 2, j: 1, k: 2}. Give prob of sequence re. 1/56 Calculate prob of sequence rlr when three letters picked without replacement from {r: 2, l: 2}. 1/6 Calculate prob of sequence cv when two letters picked without replacement from ckfqffqqffvvf. 1/78 Two letters picked without replacement from ykkkkkkkkkkkkykkl. What is prob of sequence lk? 7/136 Three letters picked without replacement from {s: 1, p: 1, z: 2, j: 1}. Give prob of sequence pzz. 1/30 Three letters picked without replacement from cccmcmccccccc. Give prob of sequence mmc. 1/78 Four letters picked without replacement from {e: 2, u: 5}. Give prob of sequence ueuu. 1/7 What is prob of sequence khkx when four letters picked without replacement from {j: 3, k: 7, h: 1, z: 1, x: 4}? 1/260 Two letters picked without replacement from mkfbr. What is prob of sequence mk? 1/20 Three letters picked without replacement from {e: 3, t: 13}. Give prob of sequence ett. 39/280 What is prob of sequence ck when two letters picked without replacement from {c: 2, u: 7, k: 7}? 7/120 Calculate prob of sequence kuc when three letters picked without replacement from kkukckcuuckcucccccck. 2/57 Two letters picked without replacement from {g: 2, j: 1, q: 1, t: 3}. What is prob of sequence qt? 1/14 Three letters picked without replacement from niawisweassa. What is prob of sequence iae? 1/220 Calculate prob of sequence rey when three letters picked without replacement from {y: 2, e: 3, r: 2, w: 4, i: 6, b: 1}. 1/408 What is prob of sequence xx when two letters picked without replacement from {r: 1, i: 2, x: 2, u: 1}? 1/15 Calculate prob of sequence byff when four letters picked without replacement from {s: 1, r: 1, y: 1, f: 2, b: 1, n: 1}. 1/420 What is prob of sequence ddd when three letters picked without replacement from ddssdssssss? 1/165 Two letters picked without replacement from {t: 3, f: 7, l: 3}. What is prob of sequence fl? 7/52 What is prob of sequence paa when three letters picked without replacement from {a: 1, c: 1, p: 2, x: 2, y: 1}? 0 Calculate prob of sequence sg when two letters picked without replacement from gsgsg. 3/10 Two letters picked without replacement from nbyiiky. Give prob of sequence ny. 1/21 Four letters picked without replacement from {h: 2, l: 2, r: 2, e: 1, q: 1}. What is prob of sequence leeh? 0 Three letters picked without replacement from {r: 5, l: 4, b: 3}. Give prob of sequence lll. 1/55 Calculate prob of sequence fefd when four letters picked without replacement from {n: 1, d: 2, u: 3, e: 11, f: 2}. 11/23256 What is prob of sequence kw when two letters picked without replacement from vwkbvkvktbvttwwbkvvw? 4/95 What is prob of sequence ze when two letters picked without replacement from {l: 1, g: 10, e: 6, z: 1, h: 2}? 3/190 Three letters picked without replacement from lvqeoeqllelvueq. What is prob of sequence lqe? 8/455 Two letters picked without replacement from {t: 1, k: 1, l: 2, h: 1, e: 1, f: 1}. Give prob of sequence fk. 1/42 Calculate prob of sequence xbr when three letters picked without replacement from {a: 2, r: 1, p: 1, i: 1, x: 1, b: 1}. 1/210 What is prob of sequence znzn when four letters picked without replacement from {n: 5, z: 14}? 455/11628 Calculate prob of sequence ii when two letters picked without replacement from ubyibbwiiyy. 3/55 Calculate prob of sequence uua when three letters picked without replacement from {t: 3, a: 9, r: 2, u: 2}. 3/560 What is prob of sequence bzb when three letters picked without replacement from {j: 3, r: 11, z: 3, b: 3}? 1/380 Four letters picked without replacement from ggdnigndingginn. Give prob of sequence dngn. 5/819 What is prob of sequence zpll when four letters picked without replacement from zxuqzplulzzlzxuulzzu? 7/9690 Four letters picked without replacement from {w: 4, g: 2, i: 5}. Give prob of sequence wiwi. 1/33 Calculate prob of sequence zk when two letters picked without replacement from {k: 2, q: 1, v: 1, d: 3, c: 3, z: 5}. 1/21 Four letters picked without replacement from {m: 1, n: 4, s: 2}. What is prob of sequence nmns? 1/35 What is prob of sequence bzr when three letters picked without replacement from {b: 3, r: 1, z: 12}? 3/280 Four letters picked without replacement from {s: 7, t: 5}. Give prob of sequence tttt. 1/99 Four letters picked without replacement from {b: 11, z: 3}. Give prob of sequence bzzb. 5/182 What is prob of sequence htk when three letters picked without replacement from {h: 1, k: 1, t: 1, w: 1, v: 1}? 1/60 Calculate prob of sequence nvuf when four letters picked wit
{ "pile_set_name": "DM Mathematics" }
te x. -6, -2, 1, 4, 5 Factor -2*a**3 + 88*a**2 + 32*a - 1408. -2*(a - 44)*(a - 4)*(a + 4) Factor -3*s**3/7 + 384*s**2/7 + 27387*s/7. -3*s*(s - 179)*(s + 51)/7 Factor y**2/5 - 1412*y/5 + 1411/5. (y - 1411)*(y - 1)/5 Suppose r**2/6 - 7001*r/3 - 98063/6 = 0. What is r? -7, 14009 Let 2*n**5/21 - 104*n**4/21 + 592*n**3/7 - 8500*n**2/21 - 42194*n/21 + 98260/7 = 0. What is n? -5, 6, 17 Solve k**4/3 + 70*k**3/3 - k**2 - 208*k/3 + 140/3 = 0 for k. -70, -2, 1 What is t in -3*t**4/8 - 531*t**3/4 + 9006*t**2 + 18540*t = 0? -412, -2, 0, 60 Factor n**4/2 + 4496*n**3 - 434688*n**2 + 13942784*n - 148897792. (n - 32)**3*(n + 9088)/2 Suppose a**5/2 + 800*a**4 - 29027*a**3/2 + 78401*a**2 - 116464*a + 51776 = 0. What is a? -1618, 1, 8 Suppose 2*i**4 + 8422*i**3 + 8418*i**2 - 8422*i - 8420 = 0. What is i? -4210, -1, 1 Factor -4*f**2 - 311144*f - 6050661796. -4*(f + 38893)**2 Suppose -9*v**5/4 - 41*v**4/4 - 11*v**3/4 + 41*v**2/4 + 5*v = 0. Calculate v. -4, -1, -5/9, 0, 1 Let -5*t**4 - 270*t**3 - 2755*t**2 + 19230*t - 25200 = 0. Calculate t. -35, -24, 2, 3 Factor d**2 - 15640*d - 93876. (d - 15646)*(d + 6) Suppose q**4/4 - 247*q**3/2 + 5339*q**2/4 - 6287*q/2 + 1932 = 0. Calculate q. 1, 2, 8, 483 Find h, given that h**2/9 - 152*h/3 - 87892/9 = 0. -146, 602 What is k in -16*k**3 + 183232*k**2 - 549588*k + 412164 = 0? 3/2, 11449 Let 5*i**4/4 - 45*i**3 - 167095*i**2 + 3015000*i + 5611250000 = 0. Calculate i. -250, 268 Let -2*x**5/9 - 4474*x**4/9 - 2504318*x**3/9 - 2495374*x**2/9 + 2504320*x/9 + 2499848/9 = 0. Calculate x. -1118, -1, 1 What is w in -2*w**3/7 - 106*w**2 - 42438*w/7 - 664290/7 = 0? -305, -33 Let c**2/2 - 740*c - 7425/2 = 0. What is c? -5, 1485 Factor 2*a**4 - 108594*a**3 + 325770*a**2 - 325766*a + 108588. 2*(a - 54294)*(a - 1)**3 Find g such that -4*g**5 - 3520*g**4 - 788212*g**3 - 6016840*g**2 + 14412416*g - 7603840 = 0. -436, -10, 1 Find d such that -2*d**5 - 4*d**4 + 330*d**3 + 1684*d**2 - 328*d - 1680 = 0. -10, -6, -1, 1, 14 Let 5*i**3 - 165*i**2 - 6870*i - 47200 = 0. What is i? -16, -10, 59 Let -8*k**3/7 + 5364*k**2/7 + 35232*k/7 - 2708 = 0. What is k? -7, 1/2, 677 Suppose p**3/3 + 62*p**2/3 - 2020*p/3 + 3784/3 = 0. What is p? -86, 2, 22 What is m in 2*m**3/7 + 4444*m**2/7 + 4442*m/7 = 0? -2221, -1, 0 Factor c**3/3 - 142525*c**2/3 + 5078272643*c/3 + 5078415169/3. (c - 71263)**2*(c + 1)/3 Suppose 2*a**3/7 - 624*a**2/7 - 7226*a/7 + 38760/7 = 0. What is a? -15, 4, 323 Determine c so that -2*c**3 - 1780*c**2 - 17600*c = 0. -880, -10, 0 Factor -6*q**4 - 8524*q**3/3 - 335750*q**2 + 149784*q. -2*q*(q + 237)**2*(9*q - 4)/3 What is r in -r**4/6 - 385*r**3/6 - 21119*r**2/6 - 20735*r/6 = 0? -319, -65, -1, 0 Factor -8*l**4/11 - 15778*l**3/11 - 7781512*l**2/11 - 1944392*l/11. -2*l*(l + 986)**2*(4*l + 1)/11 Factor -196*n**3 - 9158184*n**2 + 5233296*n - 747616. -4*(n + 46726)*(7*n - 2)**2 Factor 3*v**2/2 + 4401*v + 8796. 3*(v + 2)*(v + 2932)/2 Factor r**3 - 775*r**2 + 12208*r - 48576. (r - 759)*(r - 8)**2 Determine k, given that -2*k**2 - 838808*k - 87949857608 = 0. -209702 Suppose -5*p**4 + 765*p**3 - 31735*p**2 + 194715*p - 318780 = 0. Calculate p. 3, 4, 69, 77 Factor 315218*m**4 + 1894484*m**3 + 19064*m**2 + 48*m. 2*m*(m + 6)*(397*m + 2)**2 Factor 3*n**3 + 2889*n**2 + 59280*n - 62172. 3*(n - 1)*(n + 22)*(n + 942) Factor 3*m**3 - 1047*m**2 + 26580*m + 123264. 3*(m - 321)*(m - 32)*(m + 4) Determine f, given that 4*f**4 + 48436*f**3 + 195519984*f**2 + 263169866176*f + 262974394624 = 0. -4036, -1 Factor 2*o**3/5 - 198*o**2/5 - 6162*o/5 + 736438/5. 2*(o - 79)**2*(o + 59)/5 Let 27*u**3/5 - 48711*u**2/5 - 92112*u/5 + 10836/5 = 0. What is u? -2, 1/9, 1806 Factor 1408*u**2 + 114049*u + 81. (u + 81)*(1408*u + 1) Factor -2*q**3/7 - 50*q**2/7 - 148*q/7 + 320. -2*(q - 5)*(q + 14)*(q + 16)/7 Factor 5*n**2 - 2169385*n - 4338790. 5*(n - 433879)*(n + 2) Factor -g**2 - 1347*g - 207090. -(g + 177)*(g + 1170) Suppose -2*h**2/5 - 14768*h = 0. What is h? -36920, 0 Factor 41*k**3 + 345*k**2/2. k**2*(82*k + 345)/2 Find s such that -s**3/4 + 8877*s**2/4 + 22205*s/2 = 0. -5, 0, 8882 Suppose i**4/8 + 25*i**3 - 443*i**2/8 - 3975*i/4 - 1818 = 0. Calculate i. -202, -3, 8 Solve 2*x**3/15 + 3208*x**2/15 + 181018*x/15 + 2600372/15 = 0. -1546, -29 What is c in -722*c**5/7 - 342*c**4 + 2186*c**3/7 + 858*c**2/7 + 72*c/7 = 0? -4, -3/19, 0, 1 Let z**2 - 2612*z + 2611 = 0. What is z? 1, 2611 Determine j, given that j**5/4 + 229*j**4 + 33961*j**3 - 8463840*j**2 + 341510400*j = 0. -528, 0, 70 Factor -3*b**3 + 369*b**2 + 428427*b - 83625321. -3*(b - 263)**2*(b + 403) Find m such that 3*m**2 - 1203*m - 7326 = 0. -6, 407 Factor o**2/4 - 3381*o/2 + 10134. (o - 6756)*(o - 6)/4 Determine j, given that j**4/2 + 9*j**3 - 9419*j**2/2 - 4734*j + 9434 = 0. -106, -2, 1, 89 Solve -s**2/2 + 131448*s - 8639288352 = 0 for s. 131448 Solve t**4 - 13*t**3 - 15*t**2 + 13*t + 14 = 0. -1, 1, 14 Solve f**2 - 2590*f - 2591 = 0 for f. -1, 2591 Factor 2*i**2/7 + 382*i/7 + 1304. 2*(i + 28)*(i + 163)/7 Suppose 2*n**5/3 + 94*n**4/3 + 604*n**3/3 - 796*n**2/3 - 202*n + 234 = 0. What is n? -39, -9, -1, 1 Factor 2*o**2 - 114000*o + 1624500000. 2*(o - 28500)**2 Find f such that -5*f**4 - 21720*f**3 - 151770*f**2 + 108800*f + 1626375 = 0. -4337, -5, 3 Determine i so that -12*i**4 - 30224*i**3 + 466028*i**2 - 577696*i + 141904 = 0. -2534, 1/3, 1, 14 What is o in -5*o**5 + 3380*o**4 + 87510*o**3 + 80740*o**2 - 87505*o - 84120 = 0? -24, -1, 1, 701 Determine a so that 2*a**2 + 262*a + 516 = 0. -129, -2 Solve -2*u**4/15 - 256*u**3/15 - 332*u**2/3 + 4096*u/15 - 726/5 = 0. -121, -9, 1 Factor 3*p**2 - 78*p - 30705. 3*(p - 115)*(p + 89) Find b, given that 128*b**2 + 2092*b + 704 = 0. -16, -11/32 What is c in -124002*c**3/11 - 1610034*c**2/11 + 25888*c/11 - 104/11 = 0? -13, 2/249 Solve -30*k**3 - 3685*k**2 + 11325*k = 0 for k. -755/6, 0, 3 Factor b**2/4 - 2253*b. b*(b - 9012)/4 Let 2*z**3 - 148*z**2 - 2358*z + 8352 = 0. What is z? -16, 3, 87 Let 4*j**4/7 - 3260*j**3/7 + 414096*j**2/7 + 109983760*j/7 + 109566400/7 = 0. What is j? -124, -1, 470 Suppose -q**2/10 - 817746*q/5 - 334354260258/5 = 0. What is q? -817746 Factor -2*z**3 - 1386*z**2 - 4132*z + 5520. -2*(z - 1)*(z + 4)*(z + 690) Solve -3*c**3/4 + 2979*c**2/2 + 65901*c/4 = 0 for c. -11, 0, 1997 Factor -m**2 - 1016*m - 1015. -(m + 1)*(m + 1015) Factor -2*d**2 - 3186*d - 1266304. -2*(d + 761)*(d + 832) Let -20*t**3 + 8312*t**2 - 13232*t - 6624 = 0. Calculate t. -2/5, 2, 414 Suppose m**2/4 - 77401*m/2 - 154803/4 = 0. What is m? -1, 154803 Determine b so that 3*b**2/4 - 2132397*b/2 + 1515705655203/4 = 0. 710799 Factor 8*z**3/3 - 54816*z**2 - 54818*z - 41114/3. 2*(z - 20557)*(2*z + 1)**2/3 Factor 4*x**4 - 73848*x**3 + 340697716*x**2 + 1363677168*x + 1363972624. 4*(x - 9233)**2*(x + 2)**2 Suppose 10263*j**2 - 41061*j + 36 = 0. What is j? 3/3421, 4 Factor -n**2 - 25248*n - 159365376. -(n + 12624)**2 Find j such that -2*j**3/5 - 21084*j**2/5 + 42176*j/5 = 0. -10544, 0, 2 Find p such that 2*p**2/13 - 229090*p/13 - 229092/13 = 0. -1, 114546 Factor r**3/8 + 7513*r**2/4 + 3756*r. r*(r + 2)*(r + 15024)/8 Determine o so that 2211125*o**2 - 1609300*o + 292820 = 0. 242/665 Factor 4*i**2 - 63780*i + 255056. 4*(i - 15941)*(i - 4) Factor -25*f**2 + 265*f - 520. -5*(f - 8)*(5*f - 13) Suppose 396*n**3 - 11964*n**2 - 9640*n - 992 = 0. What is n? -2/3, -4/33, 31 Determine l, given that -32*l**4/9 + 8944*l**3/9 - 57202*l**2/9 + 114356*l/9 - 22022/3 = 0. 1, 11/4, 273 Factor -5*s**5 + 19495*s**4 - 310960*s**3 + 1242560*s**2. -5*s**2*(s - 3883)*(s - 8)**2 Determine n so that -6*n**4/7 - 17172*n**3/7 - 12252174*n**2/7 + 49214952*n/7 - 49283736/7 = 0. -1433, 2 Suppose 4*k**4/7 + 77516*k**3/7 + 53643840*k**2 - 375584400*k/7 = 0. What is k? -9690, 0, 1 Suppose 3*v**3/2 + 813*v**2/2 + 23808*v + 46002 = 0. What is v? -187, -82, -2 Find r such that -5*r**4 - 6581275*r**3 - 2887543181280*r**2 - 422303190257812480*r + 422306077807575040 = 0. -438752, 1 Determine i, given that 4*i**2 - 2075600*i = 0. 0, 518900 Factor 2*w**2/9 - 178*w/9 - 196. 2*(w - 98)*(w + 9)/9 Factor 2*r**2/9 - 8282*r/3 - 174020/9. 2*(r - 12430)*(r + 7)/9 Factor 6*c**3 + 13372*c**2 - 13378*c. 2*c*(c - 1)*(3*c + 6689) Solve -2*o**2/7 - 600*o/7 + 8138/7 = 0. -313, 13 Determine t so that -t**4/4 + 349*t**3/2 - 11621*t**2/4 + 7498*t - 4767 = 0. 1, 2, 14, 681
{ "pile_set_name": "DM Mathematics" }
comes next: 305, 299, 281, 245, 185? 95 What is next in 22292, 22291, 22290? 22289 What is next in 22, 50, 82, 118, 158, 202, 250? 302 What is the next term in -345, -687, -1029, -1371, -1713? -2055 What is the next term in 446, 1818, 4114, 7340, 11502, 16606, 22658? 29664 What comes next: 39, 91, 169, 267, 379? 499 What is the next term in -54, -88, -92, -60, 14, 136, 312, 548? 850 What is next in -93, -77, -57, -39, -29? -33 What is next in -97, -116, -135? -154 What comes next: -391, -398, -409, -424? -443 What is the next term in -64, -125, -190, -259? -332 What comes next: -13, 29, 69, 107, 143, 177? 209 What is next in 9096, 9093, 9092, 9093, 9096, 9101? 9108 What comes next: 7, 12, 13, 4, -21, -68, -143, -252? -401 What is next in 164, 189, 252, 371, 564? 849 What comes next: 353, 356, 359, 362? 365 What is next in -14, -49, -144, -329, -634? -1089 What comes next: -312, -260, -168, -30, 160, 408? 720 What is the next term in -119, -117, -105, -77, -27, 51, 163? 315 What is the next term in -99, -120, -141, -162? -183 What comes next: 1452, 1449, 1444, 1437? 1428 What comes next: 549, 2222, 5019, 8946, 14009? 20214 What is next in 4674, 4675, 4676, 4677, 4678? 4679 What is the next term in 815, 810, 805, 800, 795? 790 What is the next term in -257, -534, -817, -1100, -1377, -1642, -1889, -2112? -2305 What is next in 52, 104, 156, 208, 260? 312 What comes next: -976, -974, -964, -940, -896? -826 What is the next term in -53, -69, -95, -131, -177? -233 What comes next: -58, -239, -546, -979, -1538, -2223? -3034 What is the next term in 866, 870, 876, 884, 894, 906? 920 What is next in 37, 87, 137, 187, 237? 287 What is next in 167, 419, 757, 1181, 1691? 2287 What is next in -772, -768, -752, -718, -660, -572, -448, -282? -68 What comes next: -18, -53, -90, -129, -170, -213, -258? -305 What is next in 7, 15, 29, 49, 75, 107, 145? 189 What comes next: 45, 43, 31, 3, -47, -125, -237, -389? -587 What comes next: -17, -21, -29, -41? -57 What is the next term in -3, -107, -291, -561, -923, -1383, -1947, -2621? -3411 What is next in -86, -617, -2048, -4829, -9410, -16241, -25772, -38453? -54734 What is next in -63, -25, 29, 93, 161? 227 What is the next term in -49, -161, -347, -607? -941 What comes next: -23, -17, -7, 7, 25, 47? 73 What comes next: -854, -1698, -2542, -3386, -4230? -5074 What comes next: -565, -1134, -1703, -2272, -2841, -3410? -3979 What comes next: 12, 70, 172, 324, 532, 802? 1140 What comes next: 1018, 2029, 3036, 4039, 5038? 6033 What is the next term in 732, 1463, 2196, 2931? 3668 What comes next: 515, 1039, 1577, 2135, 2719, 3335, 3989? 4687 What comes next: -250, -501, -752, -1003? -1254 What is next in 2, 32, 64, 98? 134 What is next in -326, -664, -1002? -1340 What is the next term in -161, -305, -437, -551, -641, -701, -725? -707 What is next in -38, -98, -158, -218, -278, -338? -398 What comes next: -249, -235, -199, -129, -13, 161? 405 What is next in -2076, -4160, -6246, -8334, -10424, -12516, -14610? -16706 What is next in -497, -1987, -4471, -7949, -12421, -17887? -24347 What comes next: 10, 41, 120, 271, 518? 885 What is next in -205, -206, -217, -244, -293, -370, -481, -632? -829 What is the next term in -1613, -1607, -1597, -1583, -1565, -1543? -1517 What is next in 10256, 10255, 10254? 10253 What is the next term in -44, -197, -446, -785, -1208, -1709? -2282 What is the next term in -38, -32, -16, 16, 70, 152, 268, 424? 626 What comes next: 28, 17, 6, -5, -16? -27 What comes next: 3080, 3056, 3016, 2954, 2864, 2740, 2576, 2366? 2104 What comes next: -83, -163, -243, -323? -403 What is next in -324, -329, -338, -351, -368, -389, -414? -443 What is next in 80, 281, 602, 1043, 1604? 2285 What comes next: -23, -57, -137, -281, -507, -833, -1277, -1857? -2591 What is the next term in 48, 193, 450, 831, 1348, 2013? 2838 What is next in -198, -396, -594, -792? -990 What comes next: -97, -99, -101, -103, -105? -107 What is the next term in 44, 98, 158, 224, 296? 374 What is next in 448, 899, 1352, 1807, 2264, 2723? 3184 What is next in 663, 634, 603, 570, 535, 498? 459 What is the next term in -83, -169, -253, -335, -415, -493, -569? -643 What is next in 1, -7, -19, -35, -55, -79, -107? -139 What comes next: -5, 65, 183, 349? 563 What is next in 742, 1442, 2144, 2848, 3554, 4262, 4972? 5684 What comes next: -25874, -25875, -25876, -25877? -25878 What comes next: 403, 402, 403, 406? 411 What comes next: -196, -765, -1710, -3031, -4728, -6801? -9250 What is the next term in -1635, -1641, -1649, -1659, -1671, -1685, -1701? -1719 What is next in 45, 87, 127, 165, 201, 235, 267? 297 What is the next term in -390, -774, -1158, -1542, -1926, -2310? -2694 What is the next term in -1169, -4683, -10539, -18737, -29277, -42159, -57383? -74949 What is the next term in -10, 12, 56, 122? 210 What is the next term in 2471, 2473, 2475, 2477, 2479? 2481 What comes next: 916, 1829, 2742? 3655 What is the next term in 174, 350, 524, 696, 866, 1034? 1200 What comes next: -5652, -5651, -5650? -5649 What is the next term in 203, 204, 205, 206, 207, 208? 209 What comes next: 49, 61, 79, 109, 157, 229, 331, 469? 649 What is the next term in -7, -30, -59, -94, -135, -182, -235? -294 What is the next term in 111, 123, 143, 171, 207, 251, 303? 363 What comes next: 64, 50, 12, -62, -184? -366 What is next in 290, 311, 336, 365, 398, 435, 476? 521 What comes next: -70, -147, -224? -301 What comes next: -4, -5, -4, -1, 4, 11? 20 What is next in 13, 25, 37, 49, 61? 73 What comes next: 20, 27, 40, 59, 84, 115, 152? 195 What comes next: 8, 1, -6, -13? -20 What comes next: 16, 4, -10, -26? -44 What is next in 35, 45, 55? 65 What is next in 30, 81, 132? 183 What is the next term in 498, 497, 496, 495? 494 What is next in 219, 279, 371, 489, 627, 779, 939? 1101 What is next in -47, -94, -141, -188, -235, -282? -329 What comes next: -1882, -7535, -16948, -30115, -47030, -67687? -92080 What comes next: -127, -256, -385, -514, -643, -772? -901 What comes next: -13580, -13569, -13544, -13499, -13428, -13325? -13184 What comes next: -9, 5, 17, 27, 35, 41? 45 What is next in 1854, 3714, 5576, 7440, 9306? 11174 What comes next: 31, 73, 131, 211, 319, 461, 643? 871 What comes next: 37, 151, 431, 961, 1825, 3107? 4891 What comes next: 26, 29, 6, -55, -166? -339 What is the next term in -454, -453, -450, -445, -438, -429, -418? -405 What comes next: 130, 456, 980, 1702, 2622? 3740 What is the next term in -8, -5, -10, -35, -92? -193 What is next in -12, -33, -54, -75, -96, -117? -138 What comes next: 420, 424, 428, 432, 436? 440 What comes next: 163, 330, 497, 664, 831, 998? 1165 What is next in 615, 617, 619, 621? 623 What comes next: -135, -150, -179, -228, -303, -410, -555? -744 What is the next term in 437, 436, 435, 434? 433 What comes next: 11, 54, 125, 224? 351 What is next in 212, 512, 980, 1700, 2756, 4232, 6212, 8780? 12020 What is next in 361, 369, 377? 385 What is next in 17, 59, 101, 143, 185? 227 What is next in 5580, 5582, 5584, 5586, 5588, 5590? 5592 What comes next: -1639, -3250, -4835, -6382, -7879, -9314? -10675 What is next in -8, -32, -94, -212, -404, -688, -1082? -1604 What comes next: -58, -479, -1622, -3847, -7514, -12983? -20614 What is the next term in -113, -82, 7, 184, 479, 922, 1543? 2372 What is the next term in -1157, -1157, -1159, -1163? -1169 What is the next term in -29347, -29345, -29343, -29341, -29339? -29337 What is the next term in 120, 117, 110, 99? 84 What is next in 36, 38, 38, 36, 32? 26 What is next in -9, -12, -13, -12, -9, -4, 3? 12 What comes next: 98, 97, 94, 89, 82, 73, 62? 49 What comes next: -538, -1079, -1620? -2161 What is the next term in -348, -706, -1074, -1458, -1864? -2298 What is the next term in -37, -64, -91, -118, -145, -172? -199 What is next in 209, 209, 201, 179, 137, 69? -31 What comes next: 608, 610, 612, 614? 616 What comes next: -11, -47, -83? -119 What is next in 65, 71, 77, 83, 89, 95? 101 What is next in -77, -153, -229? -305 What is next in 11182, 11183, 11184, 11185? 11186 What is next in 0, 38, 114, 246, 452, 750, 1158? 1694 What comes next: 24, 6, -46, -150, -324, -586, -954, -1446? -2080 What comes next: -283, -278, -271, -262, -251? -238 What is next in -304, -306, -310, -316, -32
{ "pile_set_name": "DM Mathematics" }
2176 = 0. -2, -1, 1, 544 Factor -2*k**4/7 - 4*k**3/7 + 62*k**2/7 - 8*k. -2*k*(k - 4)*(k - 1)*(k + 7)/7 Determine o, given that 16*o**5/3 + 1960*o**4/3 + 79705*o**3/3 + 1062515*o**2/3 - 546325*o/3 + 68921/3 = 0. -41, 1/4 Factor 2*t**2 - 1236*t + 190962. 2*(t - 309)**2 Factor -2*h**4/3 + 236*h**3/15 - 448*h**2/5 - 192*h/5. -2*h*(h - 12)**2*(5*h + 2)/15 Factor -l**3 - 9*l**2 - 23*l - 15. -(l + 1)*(l + 3)*(l + 5) Let -3*q**2/5 - 66*q/5 + 144/5 = 0. Calculate q. -24, 2 Factor -45*k**2 - 145*k - 30. -5*(k + 3)*(9*k + 2) Factor -2*m**3/5 - 104*m**2/5 + 2358*m/5 - 2268. -2*(m - 9)**2*(m + 70)/5 Factor r**2/6 + r/6 - 55/3. (r - 10)*(r + 11)/6 Factor 2*f**2 - 112*f + 110. 2*(f - 55)*(f - 1) Factor 4*a**2 + 3196*a - 12848. 4*(a - 4)*(a + 803) Factor -2*v**3/9 - 104*v**2/3 - 5408*v/3 - 281216/9. -2*(v + 52)**3/9 What is n in n**5/7 + 5*n**4/7 + 3*n**3/7 - 9*n**2/7 = 0? -3, 0, 1 Factor 245*o**2/2 - 725*o/2 - 15. 5*(o - 3)*(49*o + 2)/2 Factor -2*d**2/7 - 6*d/7. -2*d*(d + 3)/7 Solve 72*l**4/7 + 456*l**3/7 + 794*l**2/7 + 228*l/7 + 18/7 = 0. -3, -1/6 Factor f**2/4 - 325*f/4 + 81. (f - 324)*(f - 1)/4 Let 4*f**4/5 + 8*f**3/5 - 28*f**2/5 + 16*f/5 = 0. What is f? -4, 0, 1 Solve 3*q**3/5 + 6*q**2/5 - 33*q/5 - 36/5 = 0 for q. -4, -1, 3 Solve 8*c**4/7 - 8*c**3 - 1014*c**2/7 + 6992*c/7 + 7942/7 = 0 for c. -11, -1, 19/2 Factor -25*u**3 + 50*u**2 - 31*u + 6. -(u - 1)*(5*u - 3)*(5*u - 2) Determine g, given that -57*g**5/4 - 127*g**4/4 - 81*g**3/4 - 9*g**2/4 + g/2 = 0. -1, -1/3, 0, 2/19 Factor 2*k**3/3 - 6*k**2 + 40*k/3. 2*k*(k - 5)*(k - 4)/3 Determine p so that -3*p**2/8 + 1185*p/8 - 1179/4 = 0. 2, 393 Suppose -8*n**4/5 + 4*n**3 - 16*n**2/5 + 4*n/5 = 0. Calculate n. 0, 1/2, 1 What is r in 4*r**5 - 248*r**4/7 - 344*r**3/7 + 208*r**2/7 + 316*r/7 + 40/7 = 0? -1, -1/7, 1, 10 Determine b, given that 4*b**5 - 184*b**4 - 776*b**3 - 1184*b**2 - 796*b - 200 = 0. -1, 50 What is l in 3*l**3 - 3*l**2 - 51*l - 45 = 0? -3, -1, 5 Factor 4*i**2 - 268*i + 520. 4*(i - 65)*(i - 2) Let -u**2/2 + 11*u - 36 = 0. Calculate u. 4, 18 Suppose 15*h**3/2 + 37*h**2 + 34*h - 20 = 0. What is h? -10/3, -2, 2/5 Factor 10*h**2/3 + 1294*h/9 + 172/9. 2*(h + 43)*(15*h + 2)/9 Factor -3*r**2/5 - 6498*r - 17593335. -3*(r + 5415)**2/5 Factor 3*k**2 - 117*k + 510. 3*(k - 34)*(k - 5) Find m such that m**4/3 - 13*m**3/3 + 22*m**2/3 = 0. 0, 2, 11 Factor 2*j**3 - 80*j**2. 2*j**2*(j - 40) Suppose 3*v**2 + 9*v - 390 = 0. What is v? -13, 10 Let 2*i**4 + 2*i**3 = 0. What is i? -1, 0 Factor -5*m**2 - 90*m - 400. -5*(m + 8)*(m + 10) Determine g so that -3*g**4 - 12*g**3 + 3*g**2 + 48*g + 36 = 0. -3, -2, -1, 2 Factor 35*j**2 - 8390*j - 2400. 5*(j - 240)*(7*j + 2) Determine t so that -2*t**2/5 + 78*t/5 + 2052/5 = 0. -18, 57 Find m such that m**2/2 + 15*m - 31/2 = 0. -31, 1 What is r in -3*r**2/5 - 9*r - 78/5 = 0? -13, -2 Solve 3*c**3/2 + 33*c**2/2 + 45*c = 0 for c. -6, -5, 0 Solve 12*a**4 - 112*a**3 - 84*a**2 + 40*a = 0. -1, 0, 1/3, 10 Factor -2*g**2 - 432*g - 23328. -2*(g + 108)**2 Determine t so that -t**4 - 18*t**3 - 71*t**2 - 78*t = 0. -13, -3, -2, 0 Suppose -2*y**3/7 - 10*y**2/7 - 16*y/7 - 8/7 = 0. What is y? -2, -1 Suppose -3*o**4 - 42*o**3 + 51*o**2 + 90*o = 0. What is o? -15, -1, 0, 2 What is d in -5*d**5 + 30*d**4 + 320*d**3 - 1990*d**2 - 315*d + 1960 = 0? -8, -1, 1, 7 Suppose 4*i**4 + 12*i**3 - 96*i**2 + 112*i = 0. Calculate i. -7, 0, 2 Factor -2*d**2 - 298*d + 300. -2*(d - 1)*(d + 150) Factor a**3/4 + 13*a**2/4 - 5*a - 21. (a - 3)*(a + 2)*(a + 14)/4 Determine m so that -5*m**3 + 380*m**2 + 395*m - 770 = 0. -2, 1, 77 Factor -68*x**2 + 84*x + 104. -4*(x - 2)*(17*x + 13) Suppose 4*p**4 + 28*p**3 + 36*p**2 - 108*p - 216 = 0. Calculate p. -3, 2 Determine d so that 2*d**3/5 + 34*d**2/5 - 36*d/5 = 0. -18, 0, 1 Find h, given that -2*h**3/9 + 404*h**2/3 - 806*h/3 + 1208/9 = 0. 1, 604 Factor 4*y**3/5 + 261*y**2/5 + 2769*y/5 + 676/5. (y + 13)*(y + 52)*(4*y + 1)/5 Factor -2*n**4 - 12*n**3 - 16*n**2. -2*n**2*(n + 2)*(n + 4) Factor -2*g**2/15 + 88*g/5 - 2904/5. -2*(g - 66)**2/15 Factor -r**4 - 7*r**3 + 9*r**2 + 7*r - 8. -(r - 1)**2*(r + 1)*(r + 8) Factor -2*b**4/5 + 188*b**3/5 - 2402*b**2/5 - 94752*b/5 - 508032/5. -2*(b - 56)**2*(b + 9)**2/5 Solve -y**2/4 - 39*y/4 + 10 = 0. -40, 1 Find v such that 324*v**3/7 - 4932*v**2/7 + 1084*v/7 - 60/7 = 0. 1/9, 15 Factor 5*w**3 + 925*w**2 + 3595*w - 4525. 5*(w - 1)*(w + 5)*(w + 181) Factor 2*m**3/9 + 104*m**2/9 - 24*m. 2*m*(m - 2)*(m + 54)/9 Solve v**4/2 - v**3 - 2*v**2 + v + 3/2 = 0 for v. -1, 1, 3 Factor -n**3/5 + 2*n**2 + 13*n/5 - 22/5. -(n - 11)*(n - 1)*(n + 2)/5 Let 2*n**2 - 1206*n - 1208 = 0. Calculate n. -1, 604 Factor 3*s**3 - 90*s**2 + 171*s - 84. 3*(s - 28)*(s - 1)**2 Factor 3*s**2 - 1260*s + 132300. 3*(s - 210)**2 Determine i so that -i**5/2 - i**4/2 + 13*i**3/2 + i**2/2 - 6*i = 0. -4, -1, 0, 1, 3 Factor 3*t**3/5 - 588*t**2/5. 3*t**2*(t - 196)/5 Let -2*m**2/15 - 44*m/15 - 16/3 = 0. Calculate m. -20, -2 Factor -t**2/4 - 2787*t/4 + 697. -(t - 1)*(t + 2788)/4 Factor -4*q**2 + 17776*q - 19749136. -4*(q - 2222)**2 Let 2*x**3/9 - 4*x**2/9 - 26*x/9 - 20/9 = 0. What is x? -2, -1, 5 What is o in -o**4/4 + 2*o**3 - 7*o**2/4 = 0? 0, 1, 7 Determine p, given that 3*p**4 + 57*p**3 + 183*p**2 + 27*p - 270 = 0. -15, -3, -2, 1 Determine z, given that 5*z**3 - 25*z**2 + 30*z = 0. 0, 2, 3 Let o**5 - 356*o**4 + 33421*o**3 - 310394*o**2 + 968800*o - 957728 = 0. What is o? 2, 4, 173 Factor 2*j**5 - 12*j**4 - 40*j**3 + 48*j**2 + 128*j. 2*j*(j - 8)*(j - 2)*(j + 2)**2 Factor -4*j**2/7 - 1672*j/7 - 3328/7. -4*(j + 2)*(j + 416)/7 Factor -2*n**2/11 - 14*n/11 - 20/11. -2*(n + 2)*(n + 5)/11 Factor -5*p**4 + 50*p**3 - 115*p**2 + 70*p. -5*p*(p - 7)*(p - 2)*(p - 1) Factor 18*k**5 + 120*k**4 + 290*k**3 + 300*k**2 + 120*k + 16. 2*(k + 2)**3*(3*k + 1)**2 Factor 9*y**3/7 + 12*y**2/7 - 15*y - 36/7. 3*(y - 3)*(y + 4)*(3*y + 1)/7 Factor -15*m**3 + 63*m**2 - 12*m. -3*m*(m - 4)*(5*m - 1) What is x in -2*x**2 + 322*x/3 - 212/3 = 0? 2/3, 53 Factor m**3 + 814*m**2/7 - 587*m/7 - 234/7. (m - 1)*(m + 117)*(7*m + 2)/7 What is w in 2*w**3/3 - 80*w**2 + 2958*w - 31212 = 0? 18, 51 Let 3*u**5 + 21*u**4 + 6*u**3 - 120*u**2 = 0. What is u? -5, -4, 0, 2 Factor -3*b**2/8 + 117*b/8 - 297/4. -3*(b - 33)*(b - 6)/8 Let -2*n**3/7 - 4*n**2 - 8*n + 240/7 = 0. What is n? -10, -6, 2 Factor 54*z**4 + 204282*z**3 + 204246*z**2 + 68078*z + 7564. 2*(z + 3782)*(3*z + 1)**3 Solve t**5 + 4*t**4 - 16*t**2 - 16*t = 0 for t. -2, 0, 2 Factor 2*d**4/3 - 112*d**3/3 + 1676*d**2/3 - 1008*d + 486. 2*(d - 27)**2*(d - 1)**2/3 Find m, given that -20*m**4/3 + 272*m**3/3 - 748*m**2/3 + 256*m/3 + 80 = 0. -2/5, 1, 3, 10 Solve 3*l**2/5 + 744*l/5 + 46128/5 = 0. -124 Factor 5*q**2 + 210*q + 2205. 5*(q + 21)**2 Suppose 4*s**5/5 + 24*s**4/5 - 328*s**3/5 - 2672*s**2/5 - 4284*s/5 - 392 = 0. Calculate s. -7, -1, 10 Factor -7*l**4 - 9*l**3 + 82*l**2 + 24*l. -l*(l - 3)*(l + 4)*(7*l + 2) Determine y so that -3*y**4 + 9*y**3 + 12*y**2 = 0. -1, 0, 4 Determine t so that -t**3 + 25*t = 0. -5, 0, 5 Let 4*o**4 - 296*o**3 + 2164*o**2 + 122544*o + 685584 = 0. What is o? -9, 46 Suppose -16*n**5/7 - 32*n**4/7 + 7*n**3 + 2*n**2/7 - 3*n/7 = 0. What is n? -3, -1/4, 0, 1/4, 1 Suppose -d**3/2 - 25*d**2 - 238*d - 380 = 0. Calculate d. -38, -10, -2 Suppose 3*d**4 + 12*d**3 + 9*d**2 - 12*d - 12 = 0. What is d? -2, -1, 1 Let 4*g**5 + 108*g**4 + 600*g**3 + 800*g**2 = 0. What is g? -20, -5, -2, 0 Solve -168*o**2/5 - 66*o/5 + 9/5 = 0. -1/2, 3/28 Solve -t**2/2 - 174*t + 349/2 = 0. -349, 1 Suppose -2*c**4/5 + 48*c**3/5 - 288*c**2/5 = 0. Calculate c. 0, 12 Determine m so that 4*m**3/5 + 32*m**2/5 + 12*m = 0. -5, -3, 0 Factor -x**2/2 - 4*x + 65/2. -(x - 5)*(x + 13)/2 What is l in 4*l**5 - 12*l**4 - 296*l**3 + 120*l**2 + 4900*l + 4500 = 0? -5, -1, 5, 9 Suppose a**2 - 44*a + 484 = 0. What is a? 22 Find i, given that 14*i**3/11 - 402*i**2/11 + 276*i/11 + 112/11 = 0. -2/7, 1, 28 Factor 125*j**4 - 650*j**3 + 545*j**2 + 780*j + 180. 5*(j - 3)**2*(5*j + 2)**2 Factor -n**2/4 - 15*n/4. -n*(n + 15)/4 Suppose 4*n**4 + 2428*n**3 + 364764*n**2 - 1126060*n - 1488400 = 0. Calculate n. -305, -1, 4 Determine n so that n**4/3 + 52*n**3/3 - 575*n**2 = 0. -75, 0, 23 Factor -v**2/5 - 787*v/5 - 1092. -(v + 7)*(v + 780)/5 Factor -3*x**2 + 3132*x + 3135. -3*(x - 1045)*(x + 1) Factor -o**2/7 - 26*o/7 - 25/7. -(o + 1)*(o
{ "pile_set_name": "DM Mathematics" }
13704.7 What is -0.0226329925 rounded to 3 dps? -0.023 Round 13.70616576 to 2 dps. 13.71 What is -0.246880539 rounded to 3 dps? -0.247 Round 0.626844083 to 4 dps. 0.6268 What is -12749487.8 rounded to the nearest one thousand? -12749000 Round -55649485.8 to the nearest ten thousand. -55650000 What is -16536.5555 rounded to the nearest 100? -16500 Round 217834.53 to the nearest one hundred thousand. 200000 Round -99141240 to the nearest ten thousand. -99140000 What is 0.0000015363328 rounded to 6 dps? 0.000002 Round -130.26303 to the nearest 100. -100 Round -2458532.43 to the nearest 100. -2458500 Round 0.00107092245 to five dps. 0.00107 What is 195674.3455 rounded to the nearest one hundred? 195700 What is 6.15500532 rounded to 1 decimal place? 6.2 What is -1040420289 rounded to the nearest one million? -1040000000 Round 0.0095510413 to 6 decimal places. 0.009551 What is 0.19910764 rounded to four dps? 0.1991 Round 0.0360428193 to 4 decimal places. 0.036 What is -0.87913815 rounded to four decimal places? -0.8791 Round 12941.3361 to the nearest 10. 12940 Round -25.1955054 to zero decimal places. -25 What is -11.04239932 rounded to zero decimal places? -11 Round -184.1134426 to the nearest 10. -180 What is -85000.514 rounded to the nearest 10000? -90000 Round -26.891158804 to the nearest integer. -27 What is -85853959 rounded to the nearest 100000? -85900000 Round 0.0048488002 to five decimal places. 0.00485 Round 5575.76896 to the nearest 1000. 6000 What is 3.9360485 rounded to 3 decimal places? 3.936 Round 26.42979156 to two dps. 26.43 Round 0.0144926158 to 6 dps. 0.014493 What is 780.4169268 rounded to the nearest 100? 800 What is -21855.1376 rounded to the nearest 10? -21860 Round 86.1920682 to the nearest ten. 90 What is 3.615654989 rounded to 2 decimal places? 3.62 Round 0.016723556 to 4 dps. 0.0167 Round 96.0012942 to the nearest integer. 96 Round 4.67219094 to 2 dps. 4.67 What is -0.01157611107 rounded to 4 dps? -0.0116 Round -2.5275643 to three dps. -2.528 What is 10310762.827 rounded to the nearest ten thousand? 10310000 What is 11.457906 rounded to 4 dps? 11.4579 What is -28099612 rounded to the nearest one hundred thousand? -28100000 Round 0.39029862 to one dp. 0.4 What is -16909842.2 rounded to the nearest 1000000? -17000000 Round 39966.45867 to 0 decimal places. 39966 Round -6280.825 to the nearest one hundred. -6300 What is -0.003166753008 rounded to 6 dps? -0.003167 Round 0.0078684165 to five decimal places. 0.00787 Round -28759.7613 to the nearest integer. -28760 Round 198604.664 to the nearest 10000. 200000 Round 1.31612112 to 3 decimal places. 1.316 What is -0.0761564 rounded to two decimal places? -0.08 What is -4908.070225 rounded to 1 decimal place? -4908.1 What is 14.36164754 rounded to 1 dp? 14.4 What is 177.4809568 rounded to 1 decimal place? 177.5 What is 2.91112384 rounded to one decimal place? 2.9 Round 0.007747123192 to three dps. 0.008 Round -830.040511 to one dp. -830 What is 0.16047703 rounded to one dp? 0.2 Round 0.000206541339 to 5 decimal places. 0.00021 What is -6165597080 rounded to the nearest one million? -6166000000 What is 3732382.917 rounded to the nearest 1000? 3732000 What is 9190.4965 rounded to the nearest one hundred? 9200 Round 2323.46194 to the nearest one hundred. 2300 What is -0.000085519305 rounded to 7 dps? -0.0000855 Round -1865.02218 to the nearest ten. -1870 What is 9600821.11 rounded to the nearest ten thousand? 9600000 Round -0.00168720624 to 5 decimal places. -0.00169 What is -0.07556371313 rounded to 5 dps? -0.07556 What is -792045780 rounded to the nearest one hundred thousand? -792000000 Round -41.9621593 to 3 dps. -41.962 Round 58.466889 to two dps. 58.47 What is -2.802674876 rounded to 3 dps? -2.803 What is 142780.8671 rounded to the nearest 1000? 143000 Round -0.00049267429 to 6 decimal places. -0.000493 Round 7860.5914 to the nearest ten thousand. 10000 What is -0.2463336949 rounded to 4 decimal places? -0.2463 Round 717.4779753 to the nearest integer. 717 What is 0.01991920196 rounded to four decimal places? 0.0199 What is 3595322860 rounded to the nearest 1000000? 3595000000 Round -232.32182 to one decimal place. -232.3 Round -0.00872700794 to 5 dps. -0.00873 Round -0.018410766 to 3 dps. -0.018 Round 1137325.462 to the nearest 100000. 1100000 What is -2.43388961 rounded to three decimal places? -2.434 Round 0.00217462356 to four dps. 0.0022 Round -18.45331279 to three dps. -18.453 What is -18365985.5 rounded to the nearest 10000? -18370000 What is 190005.0116 rounded to the nearest 1000? 190000 Round -1380228160 to the nearest one million. -1380000000 What is -0.260587 rounded to 5 dps? -0.26059 What is -5400889980 rounded to the nearest 1000000? -5401000000 Round 0.001789742474 to 6 dps. 0.00179 Round -0.00000907152505 to seven decimal places. -0.0000091 Round -0.8904277739 to 3 decimal places. -0.89 What is -795.768409 rounded to 0 decimal places? -796 What is 0.064032895 rounded to four dps? 0.064 Round 56876.5311 to the nearest ten thousand. 60000 What is -166205.0767 rounded to the nearest one thousand? -166000 Round 9.60861941 to three dps. 9.609 Round 0.065925488 to 6 dps. 0.065925 Round -30.58551341 to three dps. -30.586 Round 8805.55624 to the nearest 1000. 9000 What is 0.363167874 rounded to four decimal places? 0.3632 Round -0.00107006934 to 7 decimal places. -0.0010701 What is 104280792600 rounded to the nearest one million? 104281000000 Round 1.32598026 to two dps. 1.33 What is 0.03315034367 rounded to 6 decimal places? 0.03315 What is 31.30054056 rounded to two dps? 31.3 Round 361528.85 to the nearest one hundred thousand. 400000 What is -1375945.583 rounded to the nearest 10000? -1380000 What is 237872.692 rounded to the nearest one hundred? 237900 What is 15372519.871 rounded to the nearest 1000? 15373000 What is -0.0000157054503 rounded to seven decimal places? -0.0000157 What is 9288736.6 rounded to the nearest one hundred thousand? 9300000 What is 17734.7382 rounded to the nearest integer? 17735 Round 7841.8526 to the nearest 1000. 8000 What is -0.0000881561617 rounded to six dps? -0.000088 What is 0.0001668194283 rounded to five dps? 0.00017 What is 6.6692405 rounded to 1 decimal place? 6.7 Round 10.67546859 to 2 dps. 10.68 What is -12623.4687 rounded to the nearest one thousand? -13000 Round 0.0000150247169 to five dps. 0.00002 Round -13590716.5 to the nearest one hundred thousand. -13600000 Round 0.00000788895544 to six dps. 0.000008 What is -2.71985965 rounded to 4 decimal places? -2.7199 Round -139.70467801 to 2 decimal places. -139.7 Round 0.0000107467882 to 7 decimal places. 0.0000107 What is 682505014 rounded to the nearest 100000? 682500000 Round 0.000000975335389 to 7 decimal places. 0.000001 Round 679607.986 to the nearest 1000. 680000 What is 0.000947536102 rounded to 6 decimal places? 0.000948 What is 111213.002 rounded to the nearest 10? 111210 Round -2220.00991 to the nearest one thousand. -2000 What is 1722.118999 rounded to the nearest integer? 1722 What is 27.309129 rounded to the nearest integer? 27 What is 0.0006669176681 rounded to 5 decimal places? 0.00067 What is -795016.22 rounded to the nearest 100000? -800000 Round 0.1017148271 to 5 dps. 0.10171 Round 1622.7326 to the nearest 1000. 2000 What is -25752891.79 rounded to the nearest one hundred thousand? -25800000 What is -4197111.36 rounded to the nearest 1000? -4197000 What is -1.565217 rounded to 2 dps? -1.57 Round -0.00876419937 to 6 decimal places. -0.008764 What is 0.495730014 rounded to three decimal places? 0.496 Round -0.0000002606115 to 7 dps. -0.0000003 What is 12338.329991 rounded to the nearest 1000? 12000 Round -0.004173644 to 5 dps. -0.00417 Round -0.000325489028 to five decimal places. -0.00033 Round 75560955.08 to the nearest 100000. 75600000 What is -0.27795285 rounded to 4 decimal places? -0.278 Round 69.815988 to 1 decimal place. 69.8 Round -0.001964379928 to five dps. -0.00196 What is -0.004297681547 rounded to 7 decimal places? -0.0042977 What is -28740335 rounded to the nearest 10000? -28740000 Round -0.0000064013443 to 6 decimal places. -0.000006 What is 0.000127730481 rounded to seven decimal places? 0.0001277 Round 21.17575303 to three dps. 21.176 What is
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 20 and (6 - 11) + 4 - -17*3? 100 Let u(s) = -s**3 - 3*s**2 + 3*s + 5. Let j be u(-4). Find the common denominator of (17/12)/(1/j) and -31/10. 20 Let j = 6 + -4. What is the common denominator of ((-36)/22 - -1)*-1 and 4 - (-235)/(-10) - j? 22 Let z = 21651 + -476231/22. Find the common denominator of 7*((-33)/12 + 3) and z. 44 Let g = 6550 - 65409/10. Let z be (-2 - -1)*(-25)/93. Let m = z + -833/62. Find the common denominator of g and m. 30 What is the common denominator of -31/4 and 2 + 2 + (-75)/(-4)? 4 Calculate the lowest common multiple of 0 + 4 + (-2)/2 and (44/(-10) + 4)*-10. 12 Suppose 4*j - 16 = -0*j. What is the least common multiple of j and 3 + 18/(-3) + (-15)/(-3)? 4 Suppose -5*o = -13 - 27. What is the smallest common multiple of 22 and o? 88 Suppose 0 = 4*v - 2*y - y - 21, 3*v - y - 12 = 0. Let j(g) = g**3 - g**2 - g - 4. Calculate the least common multiple of j(v) and 1. 11 Let d(x) = x**2 - x - 1. Let r be d(1). Calculate the common denominator of 4/(-14) - r/7 and -2/11. 77 What is the common denominator of (-1338)/216 + 4/(-18) and 1/38? 228 Suppose 5*l = l + 4. Let v be (-1)/(l + (-7)/8). Calculate the lowest common multiple of 18 and 5/(-20) + (-130)/v. 144 Let p = 5 - 5. Suppose b + 4*a = 7 + 29, a + 2 = p. Suppose 0 = 5*g + m - 27 - 12, -4*m = 4*g - b. What is the lowest common multiple of 9 and g? 63 Suppose 2*c = 3*x + 365, c + 2*x - 90 = 96. Suppose -4*f + 0*z = -4*z - c, 4*f + z - 159 = 0. Let p = -29 + f. What is the least common multiple of 20 and p? 60 Suppose -5*g = -4*g - 230. Calculate the common denominator of g/21 - (-4)/(-14) and 44/9. 9 Let f = 1189/3 - 805/2. Calculate the common denominator of -81/2 and f. 6 Suppose 2*n = -5*n - 35. Find the common denominator of n and 13/3. 3 Let r = 1446 + -5685/4. Calculate the common denominator of r and -111/20. 20 Let a(l) = l**3 + 5*l**2 + 3. Let b be a(-5). Suppose 2*y + b*y = 40. What is the lowest common multiple of y and 1? 8 Calculate the common denominator of (-1)/2 + (-12)/1 and (202/(-3))/(-2)*23/(-92). 12 Suppose 2*l + 9 = 53. Let p(u) = u**3 + 6*u**2 + 7*u + 4. Calculate the least common multiple of l and p(-4). 88 Let c be (-21)/(-28) + 138/2. Let q = -68 + c. Calculate the common denominator of q and 91/22. 44 Find the common denominator of 10/(-5) + (-86)/10 and -56/11. 55 Let r = -83 - -48. Find the common denominator of (3/4 - -1)*-2 and (-37)/(-14) + 10/r. 14 Let p = -10 + 7. Calculate the lowest common multiple of 2/p - (-476)/21 and 6. 66 Find the common denominator of (1 - 0) + (-483)/54 and -11/14. 126 Suppose -91 = -5*g + 9. Calculate the lowest common multiple of g and 12. 60 Suppose -4*u + u + 41 = -o, 4*o - u + 153 = 0. Find the common denominator of 1 + o/(-48)*14 and (-5)/(-15) - (-322)/132. 132 Let m = -3/439 + 4877/7024. Calculate the common denominator of m and ((-762)/28)/3 - -1. 112 Let w = 5113 - 56190/11. Find the common denominator of w and 37/6. 66 Suppose -2*f - 2 = -s, -s - 5*f = -2*f - 22. What is the least common multiple of 10 and s? 10 Let p be (-1)/(-2 - (-25)/13). Suppose -2*m + 0 = -5*d + 9, -d + p = m. Suppose k - 12 = -4. Calculate the lowest common multiple of k and m. 8 Let b = -132 + 404/3. Find the common denominator of b and 97/24. 24 Let s = -589/42 - -90/7. What is the common denominator of s and (3/30)/((-4)/10)? 12 Let u be 1/(-83)*(3 + -6). Let y = -2911/166 + u. Let w = 5814/5 - 1170. Find the common denominator of w and y. 10 Suppose 37 = 5*y - 23. What is the smallest common multiple of y and 6? 12 Suppose -7 = -3*p - 2*o, o = -p - 0*p + 2. What is the smallest common multiple of p and 9? 9 Let o = 17 - 9. Let x(u) = u**2 + 2. What is the lowest common multiple of x(0) and o? 8 Suppose -2*k + 9 = -k. Suppose 2*s - 5*g - k - 22 = 0, -2*g = 3*s - 18. What is the smallest common multiple of s and 10? 40 Let j = -23 - -32. Let z be 6/j - (-64)/(-6). Find the common denominator of z/15 + (-286)/(-36) and 13/20. 180 Calculate the lowest common multiple of (-3)/((-2)/90*3) and 10. 90 Let k be 4/(-20) - 637/(-10). Let z = 313/4 - k. What is the common denominator of z and 21/10? 20 Suppose -4*p = -0*p. Let a be -2 + p + 3 - 0. Suppose a = -2*z + 5. What is the smallest common multiple of 2 and z? 2 What is the common denominator of 62/(-4)*(-2)/(-4) and (-12)/(-120)*(-146)/4? 20 Let n = 2135 - 42669/20. Find the common denominator of n and (106/2)/((-70)/5). 140 Calculate the lowest common multiple of 296/56 - (-2)/(-7) and 5. 5 Let b = 2099/24 + -545/6. Calculate the common denominator of b and 71/8. 8 What is the smallest common multiple of 8*(-2)/(-2 + -2) and 30? 60 Let f = 12 - 6. Calculate the least common multiple of 21 and f. 42 Let a = -24 - -15. Find the common denominator of (-12)/6 + (-7)/a and (19*2/(-20))/1. 90 Let k = -446151/539 + 19055/22. Let h = 44/49 - k. What is the common denominator of h and -1/20? 20 Let r be 9/(-1)*66/9. What is the common denominator of -17/8 and 273/(-28)*(-20)/r? 88 Let t(r) = 3*r**2 - r. Let z(o) = -o**3 - 2*o**2 + o. Let x be z(1). What is the least common multiple of t(x) and 14? 14 Let h = 10015/9 - 1106. What is the common denominator of h and (-8)/16*59*-1 + 2? 18 Find the common denominator of 142/(-36) + (6/27 - 0) and 121/12. 36 Let w = 51 - 42. Calculate the least common multiple of w and 1 - 1/((-2)/12). 63 Suppose 0 = 4*z - 2*g - 44 - 38, 3*z = -5*g + 29. Let s(k) = -k**2 + k + 6. What is the least common multiple of s(0) and z? 18 Suppose 9 + 16 = 4*o - a, -3*o - 4*a + 14 = 0. Suppose 4*g - 60 = -g. Calculate the smallest common multiple of o and g. 12 Let n = 161 + -53. Suppose -w + 4*w - 3*q = -n, 5*w + 5*q + 230 = 0. Calculate the common denominator of 12/5 and 2 - 1/2*w. 10 Let o = -56 - 11866. Let n = o - -8152. Let q = n - -41442/11. Find the common denominator of q and -97/8. 88 Let t = 6/35 - 89/315. Calculate the common denominator of -71/39 and t. 117 Suppose 4*n = 3*z - 22, n + 13 = 4*z - 2*z. Let d(g) = 3*g**3 - g. What is the smallest common multiple of z and d(1)? 6 Let a = -7 - -2. Let w(q) = -q + 2. Let x be w(a). Calculate the smallest common multiple of 8 and (-1 + x)/(-1)*-1. 24 Let x = -522 + 16739/32. What is the common denominator of x and 65/8? 32 Suppose 2*x = 4*x - 16. What is the least common multiple of x and 3? 24 What is the least common multiple of 429/24 + (-2)/(-16) and 9? 18 Let m = -583 - -1730/3. Calculate the common denominator of m and (-5)/(-4)*-10*-3. 6 Let f = -4048 - -16113/4. What is the common denominator of f and -47/6? 12 Let g be 3 + 3*(-6)/9. What is the common denominator of 4*g*(-156)/(-352) and (-68)/6*(-15)/(-28)? 154 Let y(l) = l**3 + 4*l**2 + 3. Calculate the least common multiple of y(-3) and 2/(-7) + (-754)/(-91). 24 Let h = -10621/1908 - -7/636. Find the common denominator of h and 143/6. 18 Suppose 5*a - 3*d - 27 = 0, -d + 6*d + 17 = -a. Suppose 0 = a*s - 3*t + 135, -3*s - 2*t = t + 111. Find the common denominator of 21/4 and s. 4 Let h = 298/15 + -1837/60. Suppose -3*p + 4*x + 22857 = 2*p, -2*p + 9144 = -x. Let k = 36525/8 - p. Find the common denominator of k and h. 8 Let x be 1581/(-630)*-1 - 2. Let z = x - -4/21. Find the common denominator of z and -35/2. 10 Let x be ((-1402)/(-5))/((-9)/(-360)). Let w be -6591*17*(-2)/(-20). Let m = w + x. Calculate the common denominator of m and 77/10. 10 Suppose 0*h + 4*h - 232 = 0. Suppose 3*i - 3*t - 2*t = h, -46 = -3*i - t. What is the least common multiple of 8 and i? 16 Suppose -3*b - 2*b = 112660. Let m be (-1)/2 + b/(-280). Let h = m + -648/7. What is the common denominator of h and 13/2? 10 What is the common denominator of 47/(-16) + 1/1 and ((-1)/3)/((-196)/(-3738))? 112 What is the common denominator of -1 + 38/18 + 8/(-36) and 32/13? 117 Let r be 12/2*(-65)/10. Calculate the smallest common multiple of 20 and r/(-2) + (-2)/(-4). 20 Let l(w) = w**3 + 6*w**2 - 3*w - 5. Let d(a) = -a**2 + a + 1. Let q(h) = -3*d(h) - l(h). Calculate the least common multiple of 14 and q(-3). 14 Suppose -5*b - p + 88 = 0, 3*b - 4*p = 7*b - 64. Let k = b + -13. Suppose 0 = -k*x + 10 + 5, -x - 67 = -5*u. What is the least common multiple of 20 and u? 140 Let y = 8 + 10. Let o = y + 2. What is the smallest common multiple of o and (-2)/5 - (-44)/
{ "pile_set_name": "DM Mathematics" }
ve. q**(7483/45) Simplify (((c**1/c)/c)**(-1/5))**(-2/179)*(c*c**(-4)*c)/c*c*c**(-1/2)*c**(-2)*c*(c/(c*c**(2/3))*c)/c*c assuming c is positive. c**(-17017/5370) Simplify ((d**(-1))**29*((d/(d/(d/(d**(-1)*d))))/d)**(-3/16))/(d**(-7)*d*(d/((d**(2/13)*d)/d))/d*d/((d/(d/d**2))/d)*d**(-3/7)/d) assuming d is positive. d**(-1949/91) Simplify ((h**6*(h/h**(-5))/h)/(h*h/((h/h**(2/3))/h))**(-19))/(h**(-6/7)/(h/(((h*h**2*h)/h)/h)))**(-11) assuming h is positive. h**(1328/21) Simplify ((u**3)**42)**(-34)/((u/(u*u/(u**(-2/15)/u))*u)**30)**20 assuming u is positive. u**(-3604) Simplify ((n**0)**13)**(-5/7)/((n/n**(2/13)*n**(2/3))/((n/((n**3*n)/n))/(n/n**(-6)))) assuming n is positive. n**(-410/39) Simplify (o**(1/3)/o*o)/(o/(o*o**5))*((o/(o/o**(-1/7)))/o)/o*o**4*((o*o**0)**(-34))**1 assuming o is positive. o**(-563/21) Simplify ((((o**(1/8)/o)/o*o*o*o/(o/(o/o**(7/4))))/(o**0*o)**(-21))**(-38))**44 assuming o is positive. o**(-34067) Simplify (((p*p*p**(-12)*p*p*p/p**(1/23))**(-1/10))**(2/117))**27 assuming p is positive. p**(486/1495) Simplify (((q*q**(-7)*q)/q)**32/((q**10*q)/q**(-9)))**25 assuming q is positive. q**(-5300) Simplify ((y*y*y*y*y**2)**(-1/14)*(y**(7/2)*y)/(y**(-3/5)*y))**(-29) assuming y is positive. y**(-7453/70) Simplify ((x**(2/7)*x*x/x**(-18))/(((x**(-7)*x)/x*x)/x*x*x**(-2/7)))**(-13) assuming x is positive. x**(-2418/7) Simplify ((n*n*n*n*n**(1/3)*n*n**(-1/22)*(n*n/(n**(-6)/n))/(n*n**(1/3)*n))**(-2/39))**(-9) assuming n is positive. n**(789/143) Simplify (((a*a*a**(-37)*a)/(a*a/((a*a**(15/4)*a*a)/a)))/((a**27*a*a)/(a**(-4/11)*a)))**(-29) assuming a is positive. a**(74791/44) Simplify ((c**(1/4)*c**11*c)/(c*c**(-1/2))**(-2/7))**(-14/9) assuming c is positive. c**(-347/18) Simplify ((i**(-2/7))**(-9/4))**(3/17)/(i**(-1)*((i**0/i)/i)/i*(i/(i**1*i))**(1/26)) assuming i is positive. i**(6423/1547) Simplify ((k**(-17)/k)/(k*k**(-1/33)*k)*k**(-5)/(k/(k**(9/7)/k)*k))**(1/7) assuming k is positive. k**(-6164/1617) Simplify ((t**(1/53)/(t*t**17))/(t*(t*t*t**(-3/22)*t*t)/t*t*t**(-29)/t*t*t))**(-19) assuming t is positive. t**(-114209/1166) Simplify ((g**(-6)*g/g**23)/(g*g/(g*(g**18/g)/g*g*g)*g/(g/(g**16/g))))**(-24) assuming g is positive. g**624 Simplify (h*h/h**(-2/17)*h/h**(-1))**(-31)*(h**(1/6)*h)/h**1*h**0/h*h*h**(4/5)/h assuming h is positive. h**(-65117/510) Simplify (((q**(-1)*q*q**(2/5)/q)/(q**7*q**(2/5)*q))**(-5/3))**(-2/9) assuming q is positive. q**(-10/3) Simplify ((j*j**(1/6))**0*(j**(-11)/j)**(-2/7))**(-6/5) assuming j is positive. j**(-144/35) Simplify ((((v*v*v*v**(2/5)/v*v)/v)/v)/v**5)/(v**0)**(-2/5)*(v*(v*v/v**(-2/5))/v*(v/(v/v**0))/v*v)**(7/6) assuming v is positive. v**(-4/5) Simplify (((q**11/q)/q*q)/((q/q**(-2))/q)*((q**(-1/10)*q*q*q)/q)/q**(2/29))**(11/5) assuming q is positive. q**(31361/1450) Simplify (d**(2/3)*d)**13*(d/d**8)/d*d**1*(d*d*d**(2/5))/d**(-2/3)*(d/d**9)/((d**(-3)*d*d*d)/d) assuming d is positive. d**(161/15) Simplify (a**(-1/8)/(a*a*a**(-1/11))*(a*a**(-1/4))**(3/5))**45 assuming a is positive. a**(-6273/88) Simplify (d*d/(d*d**(-1)))**10/(d/(d/d**(-3/2)*d)*(d/d**(-5)*d*d)/d)*((d*d**(2/7))**24)**(-48) assuming d is positive. d**(-20519/14) Simplify ((y**1*y)**(2/75)/(y/y**(-8)*y**5))/((y*y*y**(-1/2))**(-18)*(y*y*y/(y/(y/y**(-6)))*y)/y*y**(-3)/y*y) assuming y is positive. y**(529/75) Simplify ((x*x**(-2))**50*(x*(x/(x/(x*x**9)))/x)/((x**(-9)*x)/x))**(10/3) assuming x is positive. x**(-310/3) Simplify ((j/(j/(j/(j*j*(j**(-6/11)/j)/j*j))))/j)**(10/9)*(j/(j**(-17)*j))**(-36) assuming j is positive. j**(-60638/99) Simplify ((z*z/(z*(z/z**1)/z)*z)**(4/11))**43/((z*z*(z*z**(-1))/z)**26)**(2/99) assuming z is positive. z**(4592/99) Simplify (k**(-1/4)*k)/k*k/(k**(-6)/k)*(k/(k/(k*k**(-2/3)/k))*k)**(-1/6)*(k*k*k/(k/(k**(1/6)*k)*k))/(k/(k/(k*k**(1/7))))*(k**0)**(2/17) assuming k is positive. k**(2197/252) Simplify (f*f**5*f*f**(-3))**(1/13)/(f**(-2)*f*f/f**(-4))**(-37) assuming f is positive. f**(1928/13) Simplify ((x**(-3/20)/x)/x**(1/9)*(x*x/(x*x**(-25)*x*x)*x*x)**(-2/41))**23 assuming x is positive. x**(-429341/7380) Simplify (((w**(5/6)/w)/w)**(-2/45)*(w**(-3/7)/w)**(-4/11))**(-42) assuming w is positive. w**(-11878/495) Simplify (a/(a**(-2/43)*a))/a**(8/7)*(a/(a/((a**(-3)/a)/a)*a))/(a**(2/65)*a*a*a*a) assuming a is positive. a**(-217702/19565) Simplify (c*c/(c/((c*c/c**(-13))/c))*c*(c**16/c)/c*c**(-2/7)*c**(2/7))**(-25/3) assuming c is positive. c**(-250) Simplify ((b*b*b**(1/3)*b)**(-1/14)*(b/b**(-1))**(-37))/(b/(b/b**(-1/7))*b**3)**31 assuming b is positive. b**(-3419/21) Simplify ((l**(1/8)/l)/((l*l*l**(-2/7)*l)/l))/(l**(-2/5))**(-4/3)*(l**(-2))**50*(l/l**(1/3))**16 assuming l is positive. l**(-77663/840) Simplify ((t/(t*t**(-4/3)))/(t*t*t*(t/t**5)/t)*(t*t**(4/9))/t**18)**(-25) assuming t is positive. t**(2975/9) Simplify ((v/(v/(v*v*v**6)))/(v**(-2)/v)*((v/v**(2/3))/v)/v*v**(-5/6)/v)/((v/v**1)**16/(v*v**2)**(-15)) assuming v is positive. v**(-75/2) Simplify ((h*h/((h/h**(-1))/h))**(2/39))**35/((h/(h/((h*h*h**(-1)*h*h)/h)))**(15/2)*(h*h**(2/11)*h)/(h*h**(1/4))) assuming h is positive. h**(-24259/1716) Simplify (h**(-4/3)/h*h**(5/6)/h)**(-3/16)/((h/(h**0*h))**(-2/3)*(((h**(-6/7)/h)/h)/h)/(h**(-1/4)/h)) assuming h is positive. h**(689/224) Simplify (((s**(6/19)*s)/s)**43/((s*s**(-29))/(s*s/(s/(((s/(((s/(s*s**11/s))/s)/s)*s)/s)/s))*s)))**(3/4) assuming s is positive. s**(792/19) Simplify ((q**(-5)*q*q)**(-1/3)*(q**(-18))**(-7/4))**(1/18) assuming q is positive. q**(65/36) Simplify (i*(((i**15*i*i*i)/i)/i*i*i)/i*i)/(i*i**32)*(i**(-6/25))**(1/12) assuming i is positive. i**(-701/50) Simplify ((o*((o/(o/o**9*o))/o)/o*o)/(o/(((o*(o/(o*o**(2/9)/o))/o)/o)/o)))**(1/3)/(o**(1/4)*o**(-2/5))**(-30) assuming o is positive. o**(-139/54) Simplify (w/w**(-5/3)*w*w*(w*w**(1/4))/w)/(w*w/(w/w**(2/5))*(w*w*w**(2/3))/w)*(((w**(-7/4)*w)/w)/(w*w/w**0))**(6/7) assuming w is positive. w**(-191/140) Simplify (q**(-1/11)/((q/(q**14/q))/q))/(q/(q/(q/(q/((((q*q/(q*q*((q/((q*q/((q/(q/q**30))/q)*q)/q))/q)/q))/q)/q*q*q)/q)*q*q))))**0 assuming q is positive. q**(142/11) Simplify (a*a*a**(-1)*a*a*a)**(-1)/(a*a*a**5/a*a**(4/5))*(((a*a**(-8)*a)/a)/a**(-3))/(a*a**(-2/15)*a*a*a**4/a) assuming a is positive. a**(-62/3) Simplify (b*b*b**(-29)*b*b**12/b)/(b/(((b/b**(1/19))/b)/b*b*b)*b*b**25) assuming b is positive. b**(-780/19) Simplify (((y*(y*y**13*y)/y*y/(y/y**(-12)))/((y*y/(y*y**(-7))*y)/y**(-5)))**41)**(-12/13) assuming y is positive. y**(5412/13) Simplify (c**(-1/13)*c/c**(2/7)*(c/(c**(2/3)*c))**38)/((c*c**(2/15))**28)**45 assuming c is positive. c**(-396586/273) Simplify ((d**(4/5)*d)/(d*d*d**4)*(d**0*d)**(-35/4))/((d**(2/3))**(-8/11)*(d**1)**(27/7)) assuming d is positive. d**(-75409/4620) Simplify ((b/(b*b**0/b*b*b))**3)**17*(b**(-2/5))**(-33)*((b/b**(1/2))/b)**(-39) assuming b is positive. b**(-183/10) Simplify ((t/(t/(t*t**(-2/37)))*t*t*t/t**(-1))/(t**(-8/7)*t*(t/(t**(-9)*t)*t)/t))**12 assuming t is positive. t**(-12156/259) Simplify ((c**(1/5))**(-39))**(5/2)*(c**(-1/5)/c**(-1/8))**(-13/4) assuming c is positive. c**(-3081/160) Simplify ((u/(u*u/(u/(u**(2/37)/u))*u))/(u/(u*u/u**(-1/10))))**(32/3)/((u/(u**(-2/15)/u))/(u**(2/11)*u))**5 assuming u is positive. u**(39067/6105) Simplify ((j**(-3/5)/j**4)/(j/j**(-14)*j**0))**(2/25) assuming j is positive. j**(-196/125) Simplify ((m**(4/7)*m)/m**(-3/5)*m/((m*m**(2/33))/m*m)*m**18)**(-3) assuming m is positive. m**(-23228/385) Simplify (g**5*g**3)/(g**(-4)*g*g/(g*g/g**(-1)*g))*g**1/((g**(1/4)/g)/g)*g/g**2*g**(3/2) assuming g is positive. g**(69/4) Simplify ((o**0)**(-3/14)*(o**1)**(-2/3))/((o**(-1))**(-1/30)*(o**(-2/9)/o)/(o/(o*o/(o/(o/o**(-2/11)))*o))) assuming o is positive. o**(-1643/990) Simplify ((o**(3/2))**(-13))**(-2/19)/((o**(3/5)/(o**(-5)*o))/(o**(3/2)/(o*o**5*o))) assuming o is positive. o**(-1529/190) Simplify ((i*i**2/i*i)**(-2/89))**(-2/11)/((i**(-5)/(i/(i*i*i*i**7/i*i)))/(((i/(i/(i/i**1)))/i)/(((((i/i**0*i)/i)/i)/i)/i))) assuming i is positive. i**(-2925/979) Simplify ((k/(k/k**(-2/5))*k*k)/k*k*k*((k/((((k**(-14)*k)/k)/k)/k))/k*k)/k*k**(-11/3)/k*k*k**(2/41)*k*k)**(-33) assuming k is positive. k**(-114884/205) Simplify (((i*i/(i*i**(1/15)*i)*i**3)/(i**(-3)/(i**(8/7)/i)))**(-7/4))**19 assuming i is positive. i**(-6061/30) Simplify (((y/(y*y**0/y*y*y)*y)/y**0*((y*y*y**(-2/3))/y*y)**
{ "pile_set_name": "DM Mathematics" }
*3 + j*w**2 + 105854*j*w - 8511*w**3 wrt w. -14568*j**3 + 30*j - 51066 Find the second derivative of -5333195*h**2 - 8722843*h wrt h. -10666390 What is the first derivative of -22933715*g - 44906490 wrt g? -22933715 Differentiate 467026076*x + 105534233. 467026076 Find the second derivative of -2*v**2*z**3 + 18433139*v**2*z - 26*v*z**3 + 113*v*z**2 - 6*v*z - 25*z**3 wrt v. -4*z**3 + 36866278*z What is the second derivative of 598746609*n**2 - 155038722*n? 1197493218 What is the first derivative of 2*t*z + 122442737*t - 2055631*z**3 + 9*z**2 wrt z? 2*t - 6166893*z**2 + 18*z Find the first derivative of 161678743*v**2*x + 145367701*v**2 wrt x. 161678743*v**2 Differentiate 4*p**3 + 25*p**2 + 13587*p - 23598641 with respect to p. 12*p**2 + 50*p + 13587 What is the second derivative of -23314*l**3*u - 8*l**2*u**3 - 828*l*u**2 + 17*u**3 + 3*u**2 wrt l? -139884*l*u - 16*u**3 What is the first derivative of -3*d**2*w**2 + 26877299*d**2*w + 47238912*d**2 wrt w? -6*d**2*w + 26877299*d**2 What is the first derivative of 115026*o**2 + 109*o + 147103715 wrt o? 230052*o + 109 Find the second derivative of 19861000*s**3 - 66*s + 117746 wrt s. 119166000*s Find the first derivative of -15704555*u**3 - 4*u - 826131859. -47113665*u**2 - 4 What is the third derivative of -8027098*q**4 + 124908*q**2 + 11? -192650352*q What is the derivative of 140542561*d + 120154955? 140542561 What is the second derivative of b**2*n**2 + 7*b**2*n - 1085733*b**2 + 44211748*b*n**2 wrt b? 2*n**2 + 14*n - 2171466 What is the third derivative of -44781890*w**3 + 64925504*w**2 wrt w? -268691340 Find the first derivative of -153688*y**2 - 7*y - 15910517. -307376*y - 7 Find the third derivative of 85285626*t**5 - 110111124*t**2. 5117137560*t**2 What is the derivative of -285398017*g**4 + 162576079? -1141592068*g**3 Find the first derivative of -49288085*d*y**2 + 1273210*y**2 - 21*y wrt d. -49288085*y**2 Find the third derivative of -43057104*d**2*x**3 - d**2 - 2*x**2 + 57989*x - 7 wrt x. -258342624*d**2 Differentiate 37218*b*h**2*r - 3*b*r - b - 7*h**3 - 11*h**2*r + 436633*r + 53 with respect to h. 74436*b*h*r - 21*h**2 - 22*h*r Find the third derivative of 11*j*u**4 + 423*j*u**3 + 116948773*j*u**2 - 2*u**4 - 561*u**3 wrt u. 264*j*u + 2538*j - 48*u - 3366 Find the first derivative of -41*d*f*g - 2*d*f*v + 2*d*f - d*g - 38*f*g*v - 1891*f*g + 11*f*v + 2*f - 13*g*v + 3 wrt v. -2*d*f - 38*f*g + 11*f - 13*g What is the second derivative of -17*k**5 - 115564*k**4 - 21295*k + 312 wrt k? -340*k**3 - 1386768*k**2 Find the first derivative of 18*c**3*q*y - 616*c**3 + 12113048*c**2*q*y + 17920*c**2*y - c**2 + 3*c*y + 2 wrt q. 18*c**3*y + 12113048*c**2*y What is the second derivative of -6893845*p**4 + 3802*p + 1355 wrt p? -82726140*p**2 Differentiate -3*j*x**2 - 43*j*x + 3*j - 96*x**2 - 31*x - 5042819 with respect to x. -6*j*x - 43*j - 192*x - 31 What is the second derivative of 22*c**3*k + 2*c**3 - 2*c**2*k**3 + 169*c**2 + c*k**3 - 1197900*c wrt c? 132*c*k + 12*c - 4*k**3 + 338 Find the second derivative of -438448157*f**5 - 117981465*f. -8768963140*f**3 What is the third derivative of 9*u**6 - 451066*u**4 + 6*u**2 + 31*u + 38247 wrt u? 1080*u**3 - 10825584*u Find the third derivative of -6*s**2*t*y**3 + 161*s**2*t*y + 54*s*t*y**3 + 10*s*t*y**2 - 2*s*y**2 + 17583*t*y**2 + 407749*y**3 wrt y. -36*s**2*t + 324*s*t + 2446494 What is the second derivative of -2881*b*w*z**2 + 2*b*w*z - 473*b*w - 69*b*z - 84796*w*z**2 - w - 33*z - 2 wrt z? -5762*b*w - 169592*w What is the third derivative of 35*a**5 + 55358*a**4*t + 837466*a**2*t + 16*a**2 wrt a? 2100*a**2 + 1328592*a*t What is the first derivative of 28*l**4 - 3*l**3 + 4955*l - 197864573 wrt l? 112*l**3 - 9*l**2 + 4955 What is the second derivative of -12*f**2*h*i**2*p**2 - 121266*f**2*h*i*p - 2*f*i**2*p + 5*f*i*p + h*i**2*p**2 + 38036*h*p - 11*p**2 wrt f? -24*h*i**2*p**2 - 242532*h*i*p What is the third derivative of 30*g**2*z**3 - 46*g**2 - 2*g*z**2 + 3133585*g - 1835210*z**3 wrt z? 180*g**2 - 11011260 What is the second derivative of 12869288*w**3 - 146970*w + 17 wrt w? 77215728*w Find the second derivative of -49570228*d**3 + 69541322*d wrt d. -297421368*d Find the third derivative of 17263336*j*w**4 + j*w**3 - 8280*j*w**2 + j*w + 200*j + w**4 + w**3 - 2 wrt w. 414320064*j*w + 6*j + 24*w + 6 What is the first derivative of b**4 + 10055*b**2 - 12*b - 7692681? 4*b**3 + 20110*b - 12 What is the derivative of 53387987*x - 36657298 wrt x? 53387987 Find the second derivative of 196505367*u**2 - 141567662*u wrt u. 393010734 What is the derivative of 3*j*s + 298381*j - 2*s**2 + 230615*s - 36 wrt s? 3*j - 4*s + 230615 What is the third derivative of -103823*d**3*l**3 - 7*d**3*l**2 - 3*d**3*l + 1374125*d**2*l + d*l**3 + l wrt d? -622938*l**3 - 42*l**2 - 18*l Find the third derivative of 108471769*b**3*n**3*r + 3*b**3*n**2*r + 454390*b**2*n**2 - b*r + 2*b + n**2 wrt n. 650830614*b**3*r Differentiate 9506844*d + 5185490 with respect to d. 9506844 What is the second derivative of -10205793*d**2*n**2 + 9*d**2*n - 8*d**2 - d*n**2 + 363*d - 3*n wrt n? -20411586*d**2 - 2*d What is the first derivative of -131100086*g**2 - 367127779? -262200172*g What is the derivative of 118436092*r - 17945075 wrt r? 118436092 Find the second derivative of -13*q**3*z**3 - 172435*q**3*z**2 + 6*q*z**3 + 42*q*z + 42*z wrt q. -78*q*z**3 - 1034610*q*z**2 Find the third derivative of -151429676*g**3*v**3 - 911*g**2*v**3 + 106225*v**3 wrt g. -908578056*v**3 What is the second derivative of 45347*m**2*q**2 + 83381*m**2*q - 7*m*q**4 - 2*m*q - 9*q**3 wrt q? 90694*m**2 - 84*m*q**2 - 54*q Find the first derivative of -24688*j**2*v**3 - 28*j*v**3 - j - 4982427*v**3 wrt j. -49376*j*v**3 - 28*v**3 - 1 What is the derivative of -8054180*g**2*r + 2559*r - 152 wrt g? -16108360*g*r What is the third derivative of -135841580*s**3 + 13*s**2 - 248602? -815049480 What is the derivative of -75927*z**2 - 236*z - 94860 wrt z? -151854*z - 236 Find the third derivative of 5923766*i**6 - 27*i**2 - 2*i + 583. 710851920*i**3 Find the second derivative of 77*p**2*u**2 + 26*p**2*u + 60522*p*u**2 - 2*u**2 - 142828*u wrt u. 154*p**2 + 121044*p - 4 Differentiate -74937596*y - 31698788 with respect to y. -74937596 What is the second derivative of -85*h**2*y**3 - 1119*h**2*y**2 + 12*h**2 - 106*h*y**3 - 148*y**3 + 12*y**2 + 2 wrt h? -170*y**3 - 2238*y**2 + 24 What is the first derivative of -5335280*c**2 - 5*c - 3716187? -10670560*c - 5 Find the first derivative of 134404*a*v*w + 16*a*v*z**2 - a*z**3 + 278*v*w*z**2 - 4*v*w + v*z + 3*w*z**3 - 13*w*z**2 + 2*w*z wrt a. 134404*v*w + 16*v*z**2 - z**3 What is the first derivative of -f**4 - 23658010*f**2 + 62552505 wrt f? -4*f**3 - 47316020*f What is the second derivative of -10303493*s**2 + 147276*s + 15 wrt s? -20606986 Find the third derivative of 87215075*x**3 - 59227570*x**2 wrt x. 523290450 Find the second derivative of 95*h**2*r**3 + 2*h**2 + 2*h*r**2 - 2*h*r - 2*h - 544*r**3 + r**2 + 421*r + 13 wrt r. 570*h**2*r + 4*h - 3264*r + 2 Find the second derivative of -83572180*i**4 - 225915*i + 313 wrt i. -1002866160*i**2 Find the second derivative of -60433681*g**2 - 36904033*g wrt g. -120867362 What is the second derivative of 214737*o**4 + 25*o**3 - 12*o + 56632? 2576844*o**2 + 150*o Find the first derivative of 205737*l**3 + 55*l - 65327290 wrt l. 617211*l**2 + 55 What is the second derivative of 4510074*j**2*k - j*k + 2734759*j - 2*k wrt j? 9020148*k Differentiate 6272*h*i**4 - 749*h*i**2 + 3031279*h wrt i. 25088*h*i**3 - 1498*h*i Find the second derivative of -5636022*l**2*w + 5790*l*w + 266*l wrt l. -11272044*w Find the second derivative of -24758601*o**3*u**2 - o**3*u - 341*o**3 + 11*o**2*u - 7*u wrt u. -49517202*o**3 What is the third derivative of -30484397*q**4 + 27489305*q**2 wrt q? -731625528*q Differentiate 185*r**3*x**3 - 126804*r**3*x - 5*r**3 + 183*r**2 - 1465*r - 10 with respect to x. 555*r**3*x**2 - 126804*r**3 What is the derivative of 36679949*y**2 + 42820261? 73359898*y Find the third derivative of -178978*n**6*r + 345*n**3*r**2*w - 3*n**2*r**2*w + 142*n**2*r**2 - 6*n**2*r*w + n**2 + 7*n*r**2 + 12*n*r*w + 9*r wrt n. -21477360*n**3*r + 2070*r**2*w What is the second derivative of -28764376*w**2 - 16096685*w wrt w? -57528752 What is the second derivat
{ "pile_set_name": "DM Mathematics" }
- 14 = 5. Let d = -5 + 8. Is (d - o) + 34 + 2 a multiple of 17? False Does 18 divide -1224*(2/6)/((-22)/33)? True Let m(d) be the third derivative of -d**4/24 - 2*d**3/3 + d**2. Let f be m(-2). Is 25/f*(-12)/15 a multiple of 3? False Let t be (-4)/8 + (-21)/(-6). Suppose -69 = -2*c - c + t*g, -3*g = 4*c - 57. Is c a multiple of 18? True Let g(s) = -65*s + 138. Is 6 a factor of g(2)? False Let s(k) = 15*k**2 + 3*k + 32. Does 59 divide s(6)? True Suppose -6 = -r - 2*r. Let c(m) = 16*m**2 + 2. Is c(r) a multiple of 33? True Is 34 a factor of ((-2)/1 + -66)*(23 - 25)? True Suppose 0 = c - 3*q + 8, q = c - 6 + 14. Let o = -415 + 285. Is 13 a factor of o/4*c/5? True Let k(c) = -c**3 - 15*c**2 - 2*c - 3. Let o be 1 + (2 - 5) - 13. Is k(o) a multiple of 25? False Let k(s) = -s**2 + 13*s + 9. Does 7 divide k(10)? False Let g(y) = -2*y**3 - 3*y**2 - y + 2. Let l be g(3). Let q = 146 + l. Is q a multiple of 32? True Suppose 4*d + 2*r - 8 = 0, -3*d - 4 = -8*d - r. Let s be ((-21)/(-4))/(6/48). Let l = d + s. Is l a multiple of 14? True Let u(b) = 129*b**2 - 1. Suppose 13*y - 1 = 12*y. Let g be u(y). Suppose g = 3*n - 7. Does 15 divide n? True Suppose -1115 = 98*n - 99*n. Suppose -18*s = -n - 1099. Is 21 a factor of s? False Let p(z) = 5*z**3 - 2*z**2 + z. Let l be (-18)/(-16) - 15/120. Let i be p(l). Suppose -i*j = 4*o - 2*j - 294, 0 = -5*o + 4*j + 348. Does 17 divide o? False Let d(s) be the third derivative of s**4/24 + s**3/3 + 5*s**2. Is d(12) a multiple of 14? True Suppose -3*t + 20 = 101. Suppose 4*x = 7*x - 99. Let p = x - t. Is p a multiple of 15? True Suppose 4*g - 7 = 4*k + 5, 2*k + 9 = 3*g. Suppose k = 5*v - 7*v + 78. Let x = -3 + v. Is x a multiple of 12? True Let i(g) = g + 4. Let j be i(-7). Let m be 3*j*(-1 - 0). Is m/(-12) + (-54)/(-8) even? True Let l(m) = 9*m - 2. Let q(n) = n**3 - 5*n**2 + 7*n - 7. Let c be q(4). Let x = c + -4. Is 3 a factor of l(x)? False Suppose -11*j = -6*j - 15. Is -4 + (j - 2/(-1)) + 54 a multiple of 6? False Suppose -4*r = -3*u + 3225, u = 2*u + 3*r - 1088. Is 94 a factor of u? False Let j(a) be the first derivative of 2*a**3/3 + 5*a**2/2 - 6*a - 11. Does 10 divide j(4)? False Suppose 3828 = -46*s + 52*s. Does 51 divide s? False Let y(q) = q + 36. Is y(10) a multiple of 46? True Let g = 89 + -49. Suppose -n + 29 = 4*b, 3*b + g = 2*n + 2*b. Suppose -n = -5*r + 2*r. Is 2 a factor of r? False Suppose -15*c = -23*c + 48. Suppose -3*n - 11 = -2, n = -2*f - 3. Let y = f + c. Is 6 a factor of y? True Suppose 3*w + 39 + 18 = -3*l, -4*w = -2*l + 58. Does 2 divide (w/20)/(((-4)/(-70))/(-1))? True Suppose 66*c = 67*c - 144. Is c a multiple of 4? True Let q = -1577 + 2490. Is 20 a factor of q? False Let w = 705 - 141. Is 21 a factor of w? False Let k = -20 - -15. Let f(v) = -21*v - 1. Let o(w) = 41*w + 2. Let d(s) = k*f(s) - 3*o(s). Does 6 divide d(-2)? False Let x = 25 + -11. Suppose 53 = 5*b + i, -3*b - 2*i - x = -5*b. Is b a multiple of 7? False Let s(r) = -21*r + 4. Let c(q) = q + 1. Let n(k) = -42*k - 4. Let z(t) = -10*c(t) - n(t). Let g(y) = -7*s(y) - 5*z(y). Is g(-6) a multiple of 20? True Let c = 201 - -231. Is 24 a factor of c? True Suppose -562 = 5*n + 163. Let h = -5 - n. Is h a multiple of 9? False Is 23 a factor of 18/(-30) - 10624/(-40)? False Suppose -3*h - 198 = -9*h. Is 24 a factor of h? False Let f = -571 + 1000. Does 39 divide f? True Suppose -2*i = -5*t + 2769, 4*i = -3*t - i + 1680. Suppose -t - 201 = -7*q. Is 18 a factor of q? True Let b(k) = 11*k - 1. Let n(i) = -i**2 + 3. Let z be n(0). Let x be b(z). Suppose -a - 5*r + x = 0, -a + r + 50 = 12. Does 7 divide a? False Let t(h) = h**2 - 5*h - 2. Let u be t(6). Is 22 a factor of ((-54)/(-24))/(-9) - (-753)/u? False Does 19 divide 15/(90/(-456))*(-2)/4? True Suppose 10 = x - 97. Let m = x + -55. Suppose 4*h + 0*h - 2*o - m = 0, -4*o = 3*h - 50. Does 7 divide h? True Does 53 divide (0 - 2/7) + 53790/105? False Let s(q) = -5*q**2 + 7*q - 7. Let c(m) = -m**2 + m. Let v(w) = 6*c(w) - 2*s(w). Is v(6) a multiple of 22? True Suppose -9*z + 15 = -6*z. Suppose -2*o = -0*o + 3*m, o = z*m + 26. Let d(t) = t**2 + 3*t. Is 27 a factor of d(o)? True Suppose d = -3*x + 43, -3*x = 2*d - 4*x - 100. Let l = d - 20. Is 4 a factor of l? False Suppose -7 = 5*k + 13, k = -g - 7. Does 28 divide (0 + g)/(-2*(-9)/(-1176))? True Suppose -j = -2*m - 0*m + 7, 5*j - 25 = -5*m. Suppose 0 = 4*g - 7 - j. Suppose 4*k - 252 = -5*v, 0*k = 2*v + g*k - 102. Is 24 a factor of v? True Let n be 16 + (-16)/4 + 1. Let h(a) = a**2 - 12*a - 9. Let s be h(n). Suppose -s*c + 379 = -49. Is c a multiple of 28? False Suppose -3*b + 5*x = 49, -b - 3*x + 32 = -3*b. Let z = b + 14. Is (3/z)/(33/187) a multiple of 6? False Let u(v) = -v**3 - 9*v**2 + 9*v - 5. Let s be u(-10). Suppose -41 = 3*b + s*q - 172, -25 = 5*q. Does 26 divide b? True Suppose 0 = 3*k - l + 893, 5*k + 4*l + 1503 = 26. Let b = 81 - k. Does 14 divide b? True Suppose -3*h = l - 2*h - 364, -2*l = 4*h - 734. Is 40 a factor of l? False Let i = -25 + 250. Let x = i - 131. Let a = x - 52. Does 21 divide a? True Let z(t) = 5*t**2 + 14*t - 1. Let r be (-2)/1 + -1 - 3*1. Is 14 a factor of z(r)? False Suppose n - 3*p = 23, -4*p = -n - n + 36. Is 5 a factor of (10/n)/(14/168)? True Let a(k) = 9*k**2 + 6*k + 9. Does 61 divide a(-7)? False Suppose -y = -4*u - 8, -3*y - 1 = 2*u - 11. Let p(j) = 15*j + 1 - 1 - 2*j + 2. Does 18 divide p(y)? True Let v(f) be the first derivative of -f**3/3 - 8*f**2 - 17*f + 2. Suppose 91 = -6*c + 7. Is 5 a factor of v(c)? False Let z(a) = -a**2 - 23*a + 8. Let g be z(-7). Let f = 0 + g. Suppose 13*y - f = 11*y. Does 10 divide y? True Is 23 a factor of ((-56)/20 - -2)*(-3250)/20? False Let o(x) = -x**3 + x**2 + x. Let t be o(2). Let q = 5 + t. Is 9 a factor of (-2 + q/1)*18? True Suppose -p + 3 = -12. Suppose -p*a - 4 = -11*a. Is 10 a factor of 0 - (a - 16) - -3? True Suppose -47*i + 45*i = -6. Is 224 + 1 - (i + -3) a multiple of 9? True Suppose 3*w - 782 - 3114 = 5*r, -4*r = 2*w - 2590. Does 71 divide w? False Suppose -16*i = -12*i. Suppose d - 22 - 50 = i. Does 10 divide d? False Suppose 4*b - 2723 = -5*z + 78, 5*b = -3*z + 3485. Is 19 a factor of b? False Suppose 5*y = -g + 72 + 6, 2*y = -6. Let q = g - 38. Does 11 divide q? True Let z = -171 + 1299. Is 7 a factor of z? False Suppose 0 = -5*v + 3*v - 410. Let x = v + 330. Is 25 a factor of x? True Suppose 0 = 4*l + 4*d - 3612, -4*l = 5*d - 1970 - 1637. Does 82 divide l? False Let o = -474 + 731. Is o a multiple of 19? False Let t = 185 + 269. Is 7 a factor of t? False Let y = 70 + 1452. Does 29 divide y? False Let v(x) = 0*x - 4 - 8*x + 2*x. Suppose 2*h + 8 = -r, -5*h - 5*r = -6 + 21. Is v(h) a multiple of 8? False Let q = -511 - -911. Is q a multiple of 20? True Suppose 0 = 3*h - 4*z + 6*z - 187, -2*h + 120 = -z. Let s = h - -128. Is 27 a factor of s? True Let s = -20 - -28. Suppose 3*y - s*y = -730. Let b = y + -78. Is 16 a factor of b? False Suppose 1259 = 3*r - y, 0*r - 1261 = -3*r - y. Does 10 divide r? True Let z = 2996 + -1794. Is 33 a factor of z? False Let y = 702 + -359. Is 2 a factor of y? False Suppose 0 = 3*g - 4*y + 26, -y = 3*y - 20. Let j(c) = 2*c**2 + 7*c + 8. Is j(g) even? True Is 16 a factor of 5 - 750/(3 - 8)? False Suppose -11*b = -12*b - 2*l - 96, 5*b = 3*l - 415. Let h = b - -108. Does 5 divide h? False Is 6774/3 - 420/(-42) a multiple of 12? True Let a = -2 - -6. Is 5 a factor of (144/28)/(a/14)? False Let i = -69 - -53. Let n(a) = -a**2 - 17*a + 9. Is 9 a factor of n(i)? False Does 2 divide ((-21)/(-35))/(1/85)? False Let m = 9 - 3. Let d(o) = 2*o**3 - 5*o**2 - o + 11. Let g(v) = v**3 - 2*v**2 + 5. Let a(l) = 3*d(l) - 5*g(l). Does 8 divide a(m)? False Let i(l) = l**2 + 2*l - 2. Let v be i(-2). Does 11 divide 28/(-42)*165/v? True Let k(f) = -f**3 - 2*f**2. Let g be k(-2). Let w = 10 + g. Is 6 a factor of 192/w + (-1)/5? False Let p = -2 + -4. Let q(h) = -h**3 - h**2 + h + 1. Let i(a) = 6*a**3 + 13*a**2 + 2*a - 3. Let d(o) = i(o) + 5*q(o). Does 10 divide d(p)? False Let o(n) = 22*n - 3. Let l(q) = -q + 1. Let m(h) = 4*l(h) + o(h). Suppose -5*f + 0*f + 10 = 0. Is 22 a factor of m(f)? False Let g be -5 - ((-3)/(-1) - 6). Let t(w) = w**3 + 5*w**2 + 4*w + 5. Does 4 divide t(g)? False Let w be (1 + 13)/((-2)/(-8)). Suppose -9*k - 116 = -5*k. Let r
{ "pile_set_name": "DM Mathematics" }
+ 68*c**2 - 3. Let n(v) = 12*v**6 + 2*v**3 - 67*v**2 + 2. Let q(d) = 3*n(d) + 2*o(d). What is the third derivative of q(j) wrt j? 1680*j**3 Find the second derivative of 9*h**4 - 158 + 12*h + 156 + 2*h**3 + 0*h**3 + 5*h**3 wrt h. 108*h**2 + 42*h Let n(d) = 1 - 1 - 3*d - 2 - 5. Let v be n(-3). What is the second derivative of -16*i**2 - v*i**3 + 4*i**3 + 16*i**2 + i wrt i? 12*i Find the second derivative of -23*u**5 - 21*u**5 + 1 + 237*u**5 + 68*u - 2*u**4 + 2*u**4 wrt u. 3860*u**3 What is the derivative of 7564*o**2 - 52 - 7615*o**2 - 513 wrt o? -102*o Let o(r) = 82*r**2 - 25*r + 7. Let h(t) = 82*t**2 - 25*t + 6. Let c(a) = -7*h(a) + 6*o(a). Find the second derivative of c(k) wrt k. -164 Let i(u) be the third derivative of 0*u - 31/6*u**3 + 0 + 0*u**6 + 32*u**2 + 0*u**4 + 7/30*u**7 + 0*u**5. What is the first derivative of i(o) wrt o? 196*o**3 Let m(l) = -13*l + 47. Let x(o) = 7*o - 24. Let d be 4 - (-1 - -1)/(9 + -7). Let r(b) = d*m(b) + 7*x(b). What is the first derivative of r(f) wrt f? -3 Let b(s) be the second derivative of 0*s**2 - 9/20*s**5 + 0 + 0*s**4 + 4/3*s**3 + 17*s. What is the second derivative of b(y) wrt y? -54*y Find the third derivative of 2*w**5 - 8*w**4 + 8*w**4 + 177*w**2 - 2*w**5 + 91*w**6 - w**5 wrt w. 10920*w**3 - 60*w**2 Let n(p) = 2*p**4 - p**3 + 3*p. Let i(k) = 7*k**4 - 2*k**3 + 75*k**2 + 6*k - 481. Let z(f) = i(f) - 2*n(f). Find the first derivative of z(q) wrt q. 12*q**3 + 150*q Find the second derivative of -4*r**3 + 268 - 7*r**2 - 268 - 36*r wrt r. -24*r - 14 Find the second derivative of -40 + 38 + 10*m**2 + 9*m**3 + 2*m - 3*m**2 wrt m. 54*m + 14 Differentiate 262*v + 165 + 36 + 15 wrt v. 262 Suppose 0 = 13*i - 16*i + 6. Let g(l) be the third derivative of 0*l + 0 - 4*l**i - 5/24*l**4 - 2/3*l**3. Find the first derivative of g(o) wrt o. -5 Find the third derivative of -7*q + 25*q - 16*q**2 - 1 - 18*q - 107*q**4 wrt q. -2568*q Let v be -5 + 10 - 3 - -96. Differentiate 27 + v*f**2 + 91*f**2 - 189*f**2 + 2*f**3 with respect to f. 6*f**2 Let z be (-2 + (-39)/(-15))*10. What is the second derivative of -3*d - 4*d - 19*d**2 - z*d**2 + 2*d wrt d? -50 Suppose 16 = 3*a + 10. What is the third derivative of -l**2 + 8*l**5 - l**5 - l**5 - 2*l**a wrt l? 360*l**2 Suppose 0 = -2*c + 5 + 7. Let o = -3 + c. Find the third derivative of -o*j**2 + j**2 + 2*j**6 + 2*j**6 wrt j. 480*j**3 Let x(l) = 6*l - 2*l**3 - 4*l**2 + 2*l + 5 - 7*l. Let y be x(-3). What is the second derivative of y*r**2 - 20*r**2 - 6*r + 8*r**4 wrt r? 96*r**2 Let x = 47 + -45. Find the second derivative of -4*o**x - 22*o**2 + 4*o - 8*o wrt o. -52 Suppose -6*q + 4 = -5*q. Find the third derivative of -14*t**q + 14*t**4 + 10*t**5 - 46*t**2 wrt t. 600*t**2 Suppose -6*q = 15 - 39. Find the second derivative of -h - h - 12*h**4 - 29*h**q wrt h. -492*h**2 Let w(n) = 2*n. Let j(r) = 33*r - 77. Let k(a) = -j(a) - 5*w(a). Differentiate k(d) with respect to d. -43 Suppose 5*g + 2*i = 825, 2*g - 143 = g + 4*i. Let d = 259 + g. What is the derivative of 428 - t**4 + 6*t**4 - d wrt t? 20*t**3 Let f = 318 + -163. What is the first derivative of 5*k**3 + 5 + f*k - 155*k wrt k? 15*k**2 Let v(n) be the third derivative of 7*n**4/6 - 3*n**3/2 + 39*n**2 + 2. What is the derivative of v(b) wrt b? 28 Let q be (-3)/((-3 - -1) + 1). What is the derivative of 22*j**3 - 3 + 20*j**3 - 36*j**q wrt j? 18*j**2 Let a be 2/(65/20 + -3). What is the second derivative of z - 7*z - 5*z**2 + 18*z**2 - a*z wrt z? 26 Suppose -112 = -4*f + 24. Let o = f - 21. Find the second derivative of -18*d + 0*d**3 + 19*d + o*d**3 wrt d. 78*d Let b = 20 - 17. Find the third derivative of 20*p**b + p**3 - 4*p**3 - 8*p**2 wrt p. 102 Let f be 3 + 6/(-3) - -4. Let n(z) = 4*z**3 - 23*z**2. Let u(i) = 2*i**3 - 11*i**2. Let l(j) = f*u(j) - 2*n(j). What is the third derivative of l(k) wrt k? 12 Let k(i) be the third derivative of -53*i**5/60 - 7*i**4/8 + i**3/2 + 5*i**2 + 3. What is the second derivative of k(c) wrt c? -106 Let r(m) = 112*m**3 - 92*m**2 - 5. Let f(v) = -2*v**3 + 1. Let t(a) = 5*f(a) + r(a). What is the third derivative of t(y) wrt y? 612 Suppose g = -m + 10, -5*g + 8*m - 3*m + 100 = 0. What is the third derivative of -538 + 538 + g*r**2 + 11*r**5 wrt r? 660*r**2 Suppose -1 = 4*t - 9. Suppose o = 4, -12 = 3*d - 4*o - t. Find the first derivative of 8 - 6 + d + 7*x wrt x. 7 Let r(z) be the first derivative of -z**7/70 - z**4/12 + 4*z**3 - 7. Let m(k) be the third derivative of r(k). Find the first derivative of m(v) wrt v. -36*v**2 Let v be -6*((-5)/5)/2. What is the third derivative of 17*d**3 + 2*d**2 - d**v + 5 - 2 + 6*d**3 wrt d? 132 Let j(q) be the second derivative of 19*q**6/10 + 17*q**4/12 - q**2/2 + q - 1. What is the third derivative of j(n) wrt n? 1368*n Let g(o) = 276*o**2 - 51*o + 5. Let z(y) = y**2 + 1. Let k(w) = g(w) - 5*z(w). Find the second derivative of k(h) wrt h. 542 Let f(j) = -j**4 + j + 1. Let h = 10 + -6. Let a(r) = -r**4 + 0*r + r + 4*r**4 - 5*r**h. Let w(y) = 6*a(y) - 6*f(y). Differentiate w(p) wrt p. -24*p**3 Let b(a) be the third derivative of -37*a**5/60 + 11*a**4/12 + a**3/3 + 3*a**2 - 4. Find the second derivative of b(p) wrt p. -74 Let w(i) be the second derivative of -3*i**8/280 + 2*i**4/3 + i**3 - 6*i. Let g(h) be the second derivative of w(h). Differentiate g(m) with respect to m. -72*m**3 Let q be (-7)/(-6)*(-1)/(-7). Let f(c) be the second derivative of 0*c**5 + 0*c**4 + q*c**6 + 0*c**3 - 4*c + 0 - 5/2*c**2. What is the derivative of f(u) wrt u? 20*u**3 Suppose 2*r = 7 - 3. Suppose -v = r*v - 12. Differentiate 0*o**v + 2*o**4 - 6*o**4 + 5 with respect to o. -16*o**3 Suppose 4*h - 26 = -2*y, h - 3*y + 23 = 3*h. Find the third derivative of 2*s**2 - 12*s**h - 7*s**2 + s**2 wrt s. -288*s Let m(f) = f - 1. Let w be 12/18 - (-2)/6. Let y(s) = 19*s + 23. Let v(l) = w*y(l) - 2*m(l). Find the first derivative of v(t) wrt t. 17 Let z = 1709/1185 - 10/237. Let d(w) be the first derivative of 0*w**2 - z*w**5 + 0*w + 13/3*w**3 - 14 + 0*w**4. What is the third derivative of d(a) wrt a? -168*a What is the first derivative of 15*q**2 - 318*q**2 + 312 - 63*q**2 - 220*q**2 + 59 wrt q? -1172*q What is the third derivative of -9 - 326*g**2 - 366*g**3 + 9 - 77*g**3 wrt g? -2658 Let u(b) = 6*b**3 - 15*b**2 + 6*b. Let h = -23 - -24. Let c(p) = p**3 + p**2 - p. Let y(m) = h*u(m) + 6*c(m). Find the third derivative of y(x) wrt x. 72 What is the third derivative of -44*t**3 - 194*t**2 - 28*t**3 - 4*t**3 + 41*t**2 - 46*t**3 wrt t? -732 Let d(n) be the third derivative of 0*n + 1/4*n**4 - 19*n**2 + 0 + 7/3*n**3. What is the derivative of d(t) wrt t? 6 Let c(u) = -u**4 - u**3 + u + 1. Let n(x) = 2*x**4 + 113*x**3 - 8*x - 10. Let a(y) = 5*c(y) + n(y). What is the second derivative of a(t) wrt t? -36*t**2 + 648*t Let q(z) be the first derivative of -z**6/6 - 3*z**5 - 108*z**3 + 2*z + 20. Find the third derivative of q(g) wrt g. -60*g**2 - 360*g Let t(h) be the second derivative of -14*h**4/3 + 10*h**3/3 - h**2/2 - 32*h. Find the second derivative of t(s) wrt s. -112 Let y(n) be the second derivative of -n**5/10 - n**4/4 + 4*n**2 + 6*n. Let v(k) be the first derivative of y(k). What is the second derivative of v(w) wrt w? -12 Find the second derivative of 69*r + 74*r - 135*r - 314*r**2 - 29 wrt r. -628 Let b(u) be the second derivative of -4*u**7/21 + 3*u**5/5 + u**3/3 - 45*u**2/2 - 6*u - 1. Find the second derivative of b(l) wrt l. -160*l**3 + 72*l Let r be (-2)/(-8) + 123/(-12). Let d = r + 16. What is the second derivative of -d*u - 2*u + 7*u**2 + 0*u + 3*u wrt u? 14 Let x(r) be the second derivative of -5*r**5/4 + 97*r**2/2 + 9*r - 1. What is the derivative of x(j) wrt j? -75*j**2 Let t(i) be the first derivative of -i**6/10 + 3*i**5/20 + 17*i**2/2 - 2. Let m(w) be the second derivative of t(w). Find the third derivative of m(r) wrt r. -72 Differentiate -225 - 63 - 29*b**2 - 108*b**2 wrt b. -274*b Let q = 7 - 1. Suppose 4*d + d - 11 = -4*c, -4*c - d = -15. What is the third derivative of -c*m**6 + 3*m**2 + 2*m**2 + m**q wrt m? -360*m**3 What is the first derivative of 110 + 715*f - 4*f**2 - 716*f - f**2 + 0*f**2 wrt f? -10*f - 1 Let t(m) be the second derivative of -107*m**3/2 + 23*m**2/2 + 6*m + 2. Find the first derivative of t(s) wrt s. -321 Let j(x) be the second derivative of -x**7
{ "pile_set_name": "DM Mathematics" }
earest integer? 185 What is 290666 to the power of 1/3, to the nearest integer? 66 What is the square root of 657746 to the nearest integer? 811 What is the third root of 2056504 to the nearest integer? 127 What is the square root of 263631 to the nearest integer? 513 What is the third root of 2753783 to the nearest integer? 140 What is the square root of 1081410 to the nearest integer? 1040 What is the ninth root of 199993 to the nearest integer? 4 What is the seventh root of 1940080 to the nearest integer? 8 What is 5760752 to the power of 1/9, to the nearest integer? 6 What is the square root of 314110 to the nearest integer? 560 What is 166643 to the power of 1/2, to the nearest integer? 408 What is 317760 to the power of 1/2, to the nearest integer? 564 What is the square root of 690878 to the nearest integer? 831 What is 3097077 to the power of 1/3, to the nearest integer? 146 What is 450593 to the power of 1/3, to the nearest integer? 77 What is 411569 to the power of 1/7, to the nearest integer? 6 What is the cube root of 6331547 to the nearest integer? 185 What is the square root of 238349 to the nearest integer? 488 What is the square root of 12469413 to the nearest integer? 3531 What is the cube root of 2637875 to the nearest integer? 138 What is the third root of 1048288 to the nearest integer? 102 What is 840277 to the power of 1/2, to the nearest integer? 917 What is 3000826 to the power of 1/6, to the nearest integer? 12 What is 497041 to the power of 1/4, to the nearest integer? 27 What is 302047 to the power of 1/2, to the nearest integer? 550 What is the square root of 1592045 to the nearest integer? 1262 What is the third root of 127602 to the nearest integer? 50 What is the ninth root of 2947281 to the nearest integer? 5 What is the fourth root of 1467615 to the nearest integer? 35 What is the third root of 1395240 to the nearest integer? 112 What is the cube root of 1159800 to the nearest integer? 105 What is the fourth root of 248499 to the nearest integer? 22 What is the third root of 2740321 to the nearest integer? 140 What is the fourth root of 5038853 to the nearest integer? 47 What is the seventh root of 369863 to the nearest integer? 6 What is the third root of 21772 to the nearest integer? 28 What is 30109500 to the power of 1/3, to the nearest integer? 311 What is 1146667 to the power of 1/5, to the nearest integer? 16 What is 338712 to the power of 1/2, to the nearest integer? 582 What is the sixth root of 5666161 to the nearest integer? 13 What is 277587 to the power of 1/3, to the nearest integer? 65 What is the cube root of 241919 to the nearest integer? 62 What is 354342 to the power of 1/8, to the nearest integer? 5 What is 2748798 to the power of 1/2, to the nearest integer? 1658 What is 1578639 to the power of 1/2, to the nearest integer? 1256 What is 714260 to the power of 1/2, to the nearest integer? 845 What is the fourth root of 8212094 to the nearest integer? 54 What is the third root of 16711212 to the nearest integer? 256 What is the seventh root of 6502 to the nearest integer? 4 What is the square root of 5230917 to the nearest integer? 2287 What is the tenth root of 6606908 to the nearest integer? 5 What is the cube root of 994391 to the nearest integer? 100 What is the fourth root of 2097307 to the nearest integer? 38 What is 688901 to the power of 1/3, to the nearest integer? 88 What is the sixth root of 750035 to the nearest integer? 10 What is 4426631 to the power of 1/3, to the nearest integer? 164 What is the square root of 792123 to the nearest integer? 890 What is the seventh root of 498359 to the nearest integer? 7 What is the third root of 482387 to the nearest integer? 78 What is the square root of 2490374 to the nearest integer? 1578 What is 2063389 to the power of 1/3, to the nearest integer? 127 What is the fifth root of 5803416 to the nearest integer? 23 What is the cube root of 1709678 to the nearest integer? 120 What is the tenth root of 17791 to the nearest integer? 3 What is the third root of 16697477 to the nearest integer? 256 What is 102932 to the power of 1/10, to the nearest integer? 3 What is 50430 to the power of 1/2, to the nearest integer? 225 What is the cube root of 322220 to the nearest integer? 69 What is 217576 to the power of 1/2, to the nearest integer? 466 What is 1084992 to the power of 1/2, to the nearest integer? 1042 What is 307944 to the power of 1/3, to the nearest integer? 68 What is 163333 to the power of 1/4, to the nearest integer? 20 What is 107930 to the power of 1/3, to the nearest integer? 48 What is the square root of 392852 to the nearest integer? 627 What is the sixth root of 6077252 to the nearest integer? 14 What is the cube root of 735087 to the nearest integer? 90 What is 10540267 to the power of 1/7, to the nearest integer? 10 What is 3651268 to the power of 1/3, to the nearest integer? 154 What is 139586 to the power of 1/6, to the nearest integer? 7 What is 330531 to the power of 1/2, to the nearest integer? 575 What is 286235 to the power of 1/8, to the nearest integer? 5 What is the ninth root of 8176804 to the nearest integer? 6 What is the sixth root of 27482 to the nearest integer? 5 What is the sixth root of 1231890 to the nearest integer? 10 What is 21167107 to the power of 1/3, to the nearest integer? 277 What is the square root of 357063 to the nearest integer? 598 What is 3115343 to the power of 1/6, to the nearest integer? 12 What is 4689847 to the power of 1/2, to the nearest integer? 2166 What is 2695379 to the power of 1/2, to the nearest integer? 1642 What is the cube root of 1672175 to the nearest integer? 119 What is the tenth root of 256615 to the nearest integer? 3 What is 5453495 to the power of 1/10, to the nearest integer? 5 What is the third root of 564097 to the nearest integer? 83 What is 30434 to the power of 1/3, to the nearest integer? 31 What is the square root of 1842959 to the nearest integer? 1358 What is 38499119 to the power of 1/9, to the nearest integer? 7 What is the fourth root of 3710783 to the nearest integer? 44 What is the third root of 17998065 to the nearest integer? 262 What is 1596343 to the power of 1/2, to the nearest integer? 1263 What is the fifth root of 912487 to the nearest integer? 16 What is the third root of 33480544 to the nearest integer? 322 What is the square root of 294135 to the nearest integer? 542 What is the third root of 20358216 to the nearest integer? 273 What is 714344 to the power of 1/3, to the nearest integer? 89 What is the square root of 1680900 to the nearest integer? 1296 What is 24759016 to the power of 1/2, to the nearest integer? 4976 What is 4965418 to the power of 1/9, to the nearest integer? 6 What is the square root of 5852288 to the nearest integer? 2419 What is the cube root of 67332 to the nearest integer? 41 What is 4216496 to the power of 1/10, to the nearest integer? 5 What is the square root of 1596209 to the nearest integer? 1263 What is 191171 to the power of 1/3, to the nearest integer? 58 What is 1970793 to the power of 1/9, to the nearest integer? 5 What is the square root of 6027916 to the nearest integer? 2455 What is 29493 to the power of 1/2, to the nearest integer? 172 What is the ninth root of 285818 to the nearest integer? 4 What is 3776362 to the power of 1/3, to the nearest integer? 156 What is 2010386 to the power of 1/2, to the nearest integer? 1418 What is the seventh root of 1534355 to the nearest integer? 8 What is the cube root of 191176 to the nearest integer? 58 What is the third root of 1260209 to the nearest integer? 108 What is the eighth root of 158878 to the nearest integer? 4 What is 36769 to the power of 1/2, to the nearest integer? 192 What is 2908249 to the power of 1/2, to the nearest integer? 1705 What is 2036589 to the power of 1/2, to the nearest integer? 1427 What is the cube root of 4142750 to the nearest integer? 161 What is the eighth root of 13091 to the nearest integer? 3 What is the square root of 4435447 to the nearest integer? 2106 What is 12031813 to the power of 1/6, to the nearest integer? 15 What is 1322398 to the power of 1/4, to the nearest integer? 34 What is 35908 to the power of 1/4, to the ne
{ "pile_set_name": "DM Mathematics" }
004984 What is 18.0956178 rounded to zero decimal places? 18 What is -3.77570587 rounded to 4 dps? -3.7757 What is 0.0000302263732 rounded to 6 decimal places? 0.00003 What is -105615.462 rounded to the nearest 1000? -106000 Round -1634302.72 to the nearest 1000. -1634000 What is 502049570 rounded to the nearest 1000000? 502000000 What is 608337918 rounded to the nearest one million? 608000000 What is -5531.23375 rounded to the nearest integer? -5531 What is 692364.92 rounded to the nearest 1000? 692000 What is 1126.057499 rounded to the nearest ten? 1130 Round -572.225083 to the nearest integer. -572 Round 2.3493538 to three dps. 2.349 Round 12356486.2 to the nearest one thousand. 12356000 Round -2201.915233 to the nearest one hundred. -2200 What is 2235480.172 rounded to the nearest 10000? 2240000 Round -0.004425665698 to 5 dps. -0.00443 What is 0.0001298245311 rounded to 5 decimal places? 0.00013 Round 8.94543911 to 2 dps. 8.95 What is -0.0300765052 rounded to 4 decimal places? -0.0301 Round -32182231.9 to the nearest 100000. -32200000 Round 913.7726653 to one dp. 913.8 What is -287.4435734 rounded to 2 dps? -287.44 Round -0.00672264616 to 6 dps. -0.006723 What is 13.4934928 rounded to the nearest integer? 13 Round -630420.101 to the nearest 100. -630400 What is -94.90421 rounded to the nearest integer? -95 Round 302.148048 to two decimal places. 302.15 What is -0.00083692087 rounded to seven decimal places? -0.0008369 What is -0.00587256131 rounded to 3 decimal places? -0.006 Round -24239.9296 to the nearest one thousand. -24000 What is -511.11688 rounded to the nearest one hundred? -500 What is 4.17484377 rounded to 3 decimal places? 4.175 What is -0.0000171016133 rounded to 7 decimal places? -0.0000171 What is 0.00357445281 rounded to five dps? 0.00357 What is -2645391 rounded to the nearest 10000? -2650000 Round -5687.411 to the nearest ten thousand. -10000 Round 36990.73532 to the nearest 10. 36990 What is -1169077.632 rounded to the nearest one thousand? -1169000 Round 3.360920227 to two decimal places. 3.36 What is -642448780 rounded to the nearest one million? -642000000 Round 0.0230019354 to four decimal places. 0.023 Round 845.39299 to the nearest ten. 850 What is 31534898.33 rounded to the nearest 10000? 31530000 Round 91467.7734 to the nearest 10000. 90000 Round 1800721.03 to the nearest one million. 2000000 Round 0.0025350554301 to 6 decimal places. 0.002535 Round 0.00002044812365 to six decimal places. 0.00002 What is 355.09985 rounded to the nearest integer? 355 What is 5222873.954 rounded to the nearest ten thousand? 5220000 What is 5257.4771 rounded to zero dps? 5257 What is 14166689.8 rounded to the nearest one million? 14000000 What is -16.6297217 rounded to 2 dps? -16.63 Round 0.00194170777 to seven dps. 0.0019417 What is 12.0004329 rounded to 1 decimal place? 12 What is -0.000154426215 rounded to 5 decimal places? -0.00015 Round -54809377.6 to the nearest 10000. -54810000 Round -0.003115634978 to seven decimal places. -0.0031156 Round 49217118 to the nearest one million. 49000000 Round -1161034.39 to the nearest one thousand. -1161000 What is 271.044937 rounded to two decimal places? 271.04 What is -22.7827488 rounded to two decimal places? -22.78 What is -89029431.3 rounded to the nearest one hundred thousand? -89000000 Round 49669.6794 to the nearest 10. 49670 Round -0.111313525 to four dps. -0.1113 What is 0.03369644713 rounded to five dps? 0.0337 What is -4000.534812 rounded to one dp? -4000.5 Round -362374089 to the nearest 100000. -362400000 What is 0.0000212963404 rounded to 6 decimal places? 0.000021 What is 0.031234168 rounded to 2 decimal places? 0.03 What is 0.0100367692 rounded to 6 decimal places? 0.010037 What is 2.67925267 rounded to two decimal places? 2.68 What is 188602.373 rounded to the nearest 10000? 190000 Round -182.538237 to one decimal place. -182.5 Round -4431474.2 to the nearest 1000000. -4000000 Round 0.00014277136 to seven dps. 0.0001428 What is 0.43124826 rounded to 4 decimal places? 0.4312 Round 15.19152643 to one dp. 15.2 What is -1.3470655 rounded to one decimal place? -1.3 What is -2105.723174 rounded to the nearest 10? -2110 Round 30246.99385 to the nearest 10000. 30000 Round -59.771124 to the nearest 10. -60 What is -28251023 rounded to the nearest 10000? -28250000 Round -5666.691002 to the nearest 10. -5670 Round 0.000205936333 to six decimal places. 0.000206 What is -111531437.31 rounded to the nearest 1000? -111531000 Round -2.42333405 to zero decimal places. -2 Round -4.17805782 to three dps. -4.178 Round 9.86899964 to two dps. 9.87 What is 0.004444844 rounded to four dps? 0.0044 What is 0.006507856087 rounded to five dps? 0.00651 Round 285385.715 to the nearest ten thousand. 290000 Round -0.000112644573 to six dps. -0.000113 What is -124.3903311 rounded to the nearest 10? -120 What is 0.367429758 rounded to two decimal places? 0.37 What is -2285.3405 rounded to the nearest ten? -2290 Round -12144239.154 to the nearest 1000. -12144000 Round -1.59931705 to one decimal place. -1.6 What is 0.0000002138321427 rounded to 7 dps? 0.0000002 What is -1352.464064 rounded to the nearest integer? -1352 What is 45443.4213 rounded to the nearest 1000? 45000 Round -58.26709569 to 0 dps. -58 What is -5312025.86 rounded to the nearest 100? -5312000 Round -0.00000368369839 to six dps. -0.000004 What is -35430285.4 rounded to the nearest 1000? -35430000 What is 2504285220 rounded to the nearest 1000000? 2504000000 What is 0.00455413918 rounded to four dps? 0.0046 Round 16875.5279 to the nearest one hundred. 16900 What is -0.295330013 rounded to five decimal places? -0.29533 Round -0.0000468073749 to seven decimal places. -0.0000468 What is -9.420286424 rounded to 3 dps? -9.42 Round 92.8110903 to the nearest integer. 93 What is -17.6497926 rounded to 0 dps? -18 Round -0.000003128468404 to 7 dps. -0.0000031 What is 0.17495372 rounded to 4 dps? 0.175 What is 1063.2366409 rounded to the nearest one hundred? 1100 What is 8723964.871 rounded to the nearest 100? 8724000 Round -1.44611764 to 2 dps. -1.45 What is 38324102000 rounded to the nearest 1000000? 38324000000 What is 445.8169657 rounded to the nearest one hundred? 400 What is -607565.928 rounded to the nearest one hundred thousand? -600000 What is -0.000074787594 rounded to six dps? -0.000075 Round -6.2958681 to the nearest integer. -6 What is 96.56687 rounded to 1 dp? 96.6 What is -577151 rounded to the nearest 1000000? -1000000 Round -2144.269484 to the nearest one hundred. -2100 What is -28216215.63 rounded to the nearest one thousand? -28216000 Round 3574.9046 to the nearest integer. 3575 What is -0.287525988 rounded to five dps? -0.28753 Round 216651795.4 to the nearest ten thousand. 216650000 Round -80130184 to the nearest one hundred thousand. -80100000 What is 3202627304.3 rounded to the nearest 10000? 3202630000 Round -31031417.56 to the nearest 100000. -31000000 What is 8197839.8 rounded to the nearest 10000? 8200000 Round -460914.5121 to the nearest 10. -460910 Round -9.8527 to the nearest ten. -10 What is 1325.57741 rounded to the nearest one hundred? 1300 What is -444898.273 rounded to the nearest 1000? -445000 What is -284634.71899 rounded to zero dps? -284635 Round 4.6605582 to one decimal place. 4.7 Round 1929.534403 to the nearest 10. 1930 What is -17191101400 rounded to the nearest one million? -17191000000 Round -0.0730044531 to 2 decimal places. -0.07 Round 0.069500861 to four decimal places. 0.0695 What is -4.00364536 rounded to three dps? -4.004 What is 574.0621297 rounded to the nearest 100? 600 What is 196.0936246 rounded to the nearest integer? 196 What is 2410648.8 rounded to the nearest one million? 2000000 What is -0.00465977117 rounded to 6 dps? -0.00466 What is -0.000012664692 rounded to six decimal places? -0.000013 What is -0.00457481 rounded to four decimal places? -0.0046 Round 0.26323763 to four decimal places. 0.2632 Round -0.048849541 to 3 decimal places. -0.049 What is -0.0021901408 rounded to six dps? -0.00219 Round 2.06925882 to 2 decimal places. 2.07 Round -0.000477464531 to 7 decimal places. -0.0004775 What is -0.0000215436847 rounded to 7 dps? -0.0000215 Round -402.295 to the nearest 1000. 0 Round 0.00
{ "pile_set_name": "DM Mathematics" }
late the remainder when 196 is divided by k(-5). 97 Let n = 56 + 7. Suppose 2*k + 5 = 13. Suppose k*t - 64 = -0*t. What is the remainder when n is divided by t? 15 Suppose 34*o - 29*o = 25. What is the remainder when 144 is divided by 148/o + 6/(-10)? 28 Let h = 123 + -94. Let v(y) = y**2 - 5*y + 8. Let o be v(6). Suppose -r + 4*p - 4 + o = 0, r - p = 10. What is the remainder when h is divided by r? 9 Suppose -17*x + 22*x = 0. Suppose x = -o - 5*y + 23, -3*o - y + 4*y + 33 = 0. Suppose -115 = 4*b - 9*b. What is the remainder when b is divided by o? 10 Let v be (-26)/(-78)*-111*1. Let g = -21 - v. Calculate the remainder when 27 is divided by g. 11 Let v(c) = c**2 + 4*c + 1. Let z be v(-3). Let h = z + 6. What is the remainder when 19 is divided by (4/(h/5))/1? 4 Suppose -122 = -h - p, -h + 126 = -2*p + 4*p. Calculate the remainder when h is divided by 64. 54 Suppose -1008 = 274*f - 292*f. Calculate the remainder when 249 is divided by f. 25 Let u = -43 + 61. Suppose -u*j + 16*j = -76. Suppose 0 = -4*k - 2*s + 90, 5*k + 4*s - 100 = 20. Calculate the remainder when j is divided by k. 18 Suppose -4 = -8*j + 7*j + 5*u, 0 = -5*j + 2*u + 43. What is the remainder when -2 + 17 - 16/(-8) is divided by j? 8 Suppose 5*x + 5*s - s = 4, 2*x + 2*s = 0. Calculate the remainder when (581/(-14))/((-2)/x) is divided by 14. 13 Let o = -40 - -53. Suppose -o = -t + 12. What is the remainder when 222 is divided by t? 22 Let a(o) = -18*o**3 + 2*o + 1. What is the remainder when (3 + 141)*(-4)/(4 + -16) is divided by a(-1)? 14 Let u(m) = 3*m**2 - 2*m + 1. Let s be u(3). Suppose 6*r = 2*t + 2*r - s, 0 = 4*r - 16. Calculate the remainder when 73 is divided by t. 16 Suppose -2*l + 494 - 470 = 0. What is the remainder when 191 is divided by l? 11 Let q(a) = 4*a + 2. Let f(o) = o**3 + 6*o**2 + 2*o + 5. Let j be f(-6). Let n = 9 + j. What is the remainder when q(n) is divided by 6? 4 Suppose 4*z - 5*j - 22 = 45, 5*z + 5*j - 50 = 0. Suppose z*d - 62 = 12*d. Calculate the remainder when d is divided by 16. 14 Let m(k) = -9*k - 2. Let f = 185 + -156. What is the remainder when f is divided by m(-2)? 13 Suppose -4*r + 27 = -37. Let w = r - 9. What is the remainder when (-110)/275 - (-2)/(20/114) is divided by w? 4 Let m(d) = -5*d**3 - 10*d**2 - 6*d - 8. Let u(r) = -4*r**3 - 9*r**2 - 5*r - 9. Let p(a) = -3*m(a) + 4*u(a). What is the remainder when p(-7) is divided by 26? 25 Let q = 339 - 220. What is the remainder when q is divided by 31? 26 Let d(i) = -i + 11. Suppose g = -g. What is the remainder when d(g) is divided by 2? 1 Suppose 5*r - 3*y - 1236 = 0, -64*r = -65*r + 3*y + 240. Calculate the remainder when r is divided by 28. 25 Suppose 0 = -2*d + 2*q + 26, 5*d - 67 = -0*q + 3*q. Let i be -2 - 7 - 8/4. Let w = i + 65. What is the remainder when w is divided by d? 12 Suppose -3*w - 4*a = 5 + 10, -2*a = 0. Let o(s) = -3*s - 8. What is the remainder when 34 is divided by o(w)? 6 Let b = -9 + 10. Let v(i) = -i**3 + 8*i**2 + 10*i + 11. What is the remainder when (b/1 - -36) + 2 is divided by v(9)? 19 What is the remainder when (-446)/((-4)/(-3)*72/(-48)) is divided by 9? 7 What is the remainder when 172 is divided by (133/(-21) + 8)*21? 32 Suppose 135 = 3*r + 2*r. Suppose 2*t - 6 = 3*t. Calculate the remainder when r is divided by (3 + t/4)/((-3)/(-30)). 12 Calculate the remainder when 238 is divided by 4 - ((-2)/(-3))/(42/(-3591)). 55 Let d be (-3)/(-2) + 0 - 97/(-2). Suppose 4*r = 5*p + d, -5*p = r - 7 - 18. What is the remainder when 74 is divided by r? 14 What is the remainder when (-2)/7 - 226/(-7) is divided by 13? 6 Let j(s) = 37*s - 146. What is the remainder when j(5) is divided by (-5 + -5)/(2/(-4))? 19 Suppose -8*x = 33 - 89. What is the remainder when 21 is divided by x? 0 Let d(k) = k + 2. Suppose 30 = 4*l + 10. What is the remainder when 82/697 + ((-555)/51)/(-1) is divided by d(l)? 4 Suppose -124 = -10*d + 8*d. What is the remainder when d is divided by 5? 2 Let c(o) = -o**2 - 4*o + 5. Let g be c(-5). Let h(b) = 3*b - 4*b - b + 33. What is the remainder when h(g) is divided by 18? 15 Suppose 2*x + 58*t = 61*t - 4, 0 = 5*x - 5*t + 5. What is the remainder when 252 is divided by x? 0 Let d be 56*(-4 + (-92)/(-16)). Suppose 3*s - d = a, 4*s + 5*a - 3*a - 124 = 0. What is the remainder when 63 is divided by s? 31 Let b = 8 - 12. Let u be 1*-6*b/8. Let s(z) = z + 10. What is the remainder when s(u) is divided by 7? 6 Suppose -12*j + 180 = -3*j. Calculate the remainder when 34 is divided by 4*(j/8 + 1). 6 Let m = 83 - 29. Suppose 40 = 589*q - 584*q. Calculate the remainder when m is divided by q. 6 Suppose -z + 2*z - 60 = 0. Let d = -16 - -48. What is the remainder when z is divided by d? 28 Let k(y) = y**2 + 12*y + 1. Calculate the remainder when 260 is divided by k(-14). 28 Let l(s) = -s**3 + s**2 - s + 11. Suppose 2*r + 4*u + 4 = 0, r - 4 = -r + 4*u. What is the remainder when l(r) is divided by 6? 5 Suppose 3*b = 5*b + 12. Let z = 11 + b. Suppose -z*w + 58 + 68 = -2*y, -2*w + 46 = -3*y. Calculate the remainder when w is divided by 7. 5 Let o = 1 - 9. Let m = o - -5. Calculate the remainder when 52 is divided by (3 - 4)/(m/54). 16 Suppose 5*o - k = 173, 2*o = o + 4*k + 27. Calculate the remainder when 169 is divided by o. 29 Suppose 5*z = 5*h + 280 - 45, 5*h + 97 = 2*z. Calculate the remainder when 127 is divided by z. 35 Suppose -20 = -2*y - 5*x - 0*x, -3*x = -4*y + 14. Let v = 10 - y. Suppose 2*a - v*m - 18 = 0, 3*m - m = -3*a + 27. What is the remainder when a is divided by 5? 4 Suppose 0 = b + 24 - 36. What is the remainder when 2952/42 - (-2)/(-7) is divided by b? 10 Let i(y) = 3*y - 2*y + 70 - 2. Let z be i(0). What is the remainder when 48 is divided by (z/6)/(2/3)? 14 Let u(q) = -q**2 - 22*q - 39. Suppose p + 4*k = 7 - 34, -5*p = 3*k + 101. What is the remainder when 71 is divided by u(p)? 17 Let n = 23 - 38. Calculate the remainder when 10 is divided by (-3 - n)*1/2. 4 Let o(s) = -9*s - 12. Let v be o(-6). Let c = v - 37. Calculate the remainder when 9 is divided by c. 4 What is the remainder when 41/(-123) + (0 - (-620)/6) is divided by 5? 3 Let s = 1199 - 1173. Calculate the remainder when 73 is divided by s. 21 Suppose -4*b + 53 + 179 = 0. Let l(k) = -k**2 + 11*k + 6. Let v(n) = 3*n**2 + 3*n + 2. Let s be v(-2). What is the remainder when b is divided by l(s)? 28 Let o = 213 - 126. Calculate the remainder when 438 is divided by o. 3 Suppose -3*z - 148 = 2*h - 497, -354 = -3*z + 3*h. Let g = z - 66. What is the remainder when g is divided by 9? 6 Suppose 4*f - 24 = -4, -f = 3*o - 92. Calculate the remainder when 374 is divided by o. 26 Let m(q) = q - q + 8*q**2 + q**3 + 9. Calculate the remainder when m(-8) is divided by (-6 - -6) + 5 + 0. 4 What is the remainder when 622 is divided by 44018/494 - ((-51)/57 - -1)? 88 Calculate the remainder when 2941/51 - (24/9)/4 is divided by (-5)/(3 - 7/2). 7 Let p(r) = 4*r - 3. Let w be p(2). Suppose 4*m = -2*i + 8, w*i + 0*i + m - 29 = 0. Suppose -3*j + i = -21. What is the remainder when j is divided by 6? 3 Let m(d) be the second derivative of -d**3/2 + 4*d**2 - d. Let l be m(0). Calculate the remainder when 22 is divided by l - (2 + -3) - -3. 10 Let r = 12 - 57. Let p = 49 + r. Let g = -13 - -27. Calculate the remainder when g is divided by p. 2 Let l(r) = 2*r**2 - 2*r + 8. Calculate the remainder when 40 is divided by l(2). 4 Suppose 0*k = -3*k - 3*d + 150, 3*d + 150 = 3*k. What is the remainder when k is divided by 63/5 + (-6)/(-15)? 11 Let d(w) = -24*w + 16. Let l(q) = -8*q + 5. Let x(n) = -3*d(n) + 10*l(n). What is the remainder when x(-5) is divided by 11? 9 Let j(w) = -8 - 3*w + 0 - 8. Let a(z) = -169*z - 518. Let p be a(-3). What is the remainder when j(p) is divided by 7? 3 Suppose -3*f = 2*n - 165, 0 = -4*f + 2 - 6. Calculate the remainder when 258 is divided by n. 6 Let l(h) = 2*h**3 - h**3 - h + 7 - 8*h**2 + 6*h**2. Calculate the remainder when 127 is divided by l(3). 10 Suppose 0 = -2*s - s, -s + 84 = a. Suppose -4*c - 3*j = j - a, -3*c - j + 71 = 0. What is the remainder when c is divided by 15? 10 Let m(g) = -110*g - 186. Calculate the remainder when 813 is divided by m(-2). 31 Let x(h) = -2*h + 48. Let p be x(22). Suppose -p*a = -5*a + 28. Calculate the remainder when 106 is divided by a. 22
{ "pile_set_name": "DM Mathematics" }
)/(-51)) + k. Solve j + 3*d = -d + w, -3*j + 2*d = 13 for j. -1 Suppose 1 = -l - s, -3*l - 32*s + 7 = -31*s. Solve 2*n = -n + l*q + 3, 0 = 2*q + 6 for n. -3 Suppose -81*b + 16 + 146 = 0. Solve b*s = -3*u - 4 - 3, 4*s = -u + 11 for s. 4 Suppose 3*n = -h - h + 9, 0 = 2*h. Suppose n*k + m = -2*k + 5, 2*k - m - 2 = 0. Solve 2*t - z = 2, -4*t + 5*z + k = 3 for t. 2 Let i = 1024 + -1022. Solve -3*d + 2*d - i = -3*n, -2 = d + 4*n for d. -2 Suppose 0 = -14*r + 32*r + 21*r. Solve j - 2*s + 7*s + 9 = r, s + 1 = 0 for j. -4 Let k(l) = 5*l**2 - 23*l - 23. Let h be k(-1). Solve h*c + 26 = 3*t, -4*t + 3*c - 13 + 33 = 0 for t. 2 Let w = -73 - -71. Let t be (-2)/w + -1 - (-18 - -16). Solve 0 = -2*m + 2*y, 2*y + t*y = 2*m - 6 for m. -3 Suppose 3 = -3*m - 0*m. Let f(g) = 4*g - 3. Let l(x) = -5*x + 4. Let y(u) = -4*f(u) - 3*l(u). Let w be y(m). Solve p - o = w, -4*p + 2*p = -o for p. -1 Suppose -k = -1 - 0. Let v be (-2 - 4) + 9 + (3 - 3). Solve t - 2*n - k = 0, -v = -t + 3*n - 2*n for t. 5 Suppose 2*t + 9 = 3*q, 2*t - 2 = 5*q - 17. Let r(w) = 3*w**3 + 2*w - 1. Let x be r(1). Let p = -15 - -36. Solve 18 = x*n - 3*j - t*j, -5*n = -3*j - p for n. 3 Let q be 12/(-14) + (-600)/(-210). Solve -7*w + 4*g + 4 = -9*w, -q*w + 3*g + 3 = 0 for w. 0 Suppose -3 = 8*q - 11. Solve -20 = -4*t + 4*i, t - 8 + q = 2*i for t. 3 Let y = 369 + -360. Solve -2*q + 18 = 4*t, 0*q - 3*q = -y for t. 3 Let v = -146 - -149. Solve -5*r = 5, 5*r - r = v*z + 2 for z. -2 Suppose 0 = -5*n - 3*p - 5, 3*n + 2*p = -0*p - 4. Suppose 3*r - n = 2*r. Suppose r*a = -1 + 47. Solve -w - 3*l + 18 = 2*w, 2*w + a = 5*l for w. 1 Let g be (-2 - 0/4)/(-1). Suppose -9*u = -5*u - 16. Suppose -24 = -3*s - s. Solve s*p = -4*x + 2*p + 8, -u*x + g*p = -2 for x. 1 Let q be 4/(-9) + 2030/315. Solve 0 = 5*n + 5*o, -2*o = 5*n - q*o + 9 for n. -1 Let m be ((-4)/12)/(4/(-36)). Suppose -4 = -m*l - 1. Suppose 5*g - 2*v = 11 + l, 0 = -2*g + 2*v. Solve a + 6*y - 21 = 2*y, g*a + 2*y = 28 for a. 5 Let s = -655 + 668. Solve -5*z + 4*k = s, 3*k - 10 = 5*z - z for z. -1 Suppose 20 = -m + 6*m, 10 = 5*d - 5*m. Let q(a) = 5 - 7*a - 5*a**2 + a + d*a**2. Let o be q(6). Solve 0 = -4*n + 4, -1 + 27 = o*b + n for b. 5 Let d be -35*(36/42)/(-6). Suppose 6*o + 4*p = 4*o, 2*o - 18 = 5*p. Solve -d*s + o*c = -s + 4, 29 = 3*s + 5*c for s. 3 Suppose -n + 4 = 5*r - 2, -3*n = -3*r - 18. Suppose -5 = -2*l + 1. Solve l*q - 7 = 2*h - 4*h, 0 = 2*q + 2*h - n for q. 1 Let i(v) = 12*v - 6. Let b be i(4). Let h be (-3)/(-2)*112/b. Solve 0 = h*k + 12, 4*u - 5 = -k for u. 2 Let p(h) = h**3 - 15*h**2 + 4. Let f(k) = k**2 + 19*k - 5. Let r be f(-20). Let l be p(r). Solve b + 3*q = -q - 6, l*b + q - 6 = 0 for b. 2 Let k = 5 + -3. Suppose -2*g + 4 = 3*y, 0 = k*g + 5*y - 6 + 2. Let s be (g/10)/(2/10). Solve 0 = -i - 2*w - 5, -i = -5*w + 4*w - s for i. -1 Let l(p) = -9*p + 170. Let v be l(17). Solve 3*q = 2*k + 10, -4*k + 7*k = 5*q - v for k. 1 Suppose -2*h - 4*q + 20 = 0, h - 9*q = -5*q - 8. Solve 3*m + h + 3 = -b, -2 = -b for m. -3 Let r = 6 + -4. Suppose 12 = -3*n + 5*n + r*m, -5*n + m = 0. Let a be (n/(-2))/((-2)/12). Solve j + 2 = a*i - 13, -5*j - 3 = 3*i for j. -3 Let d(i) = 3*i**2 + 13*i + 54. Let o(r) = 4*r**2 + 14*r + 55. Let x(h) = -5*d(h) + 4*o(h). Let q be x(13). Solve -5*w - 3*v = -15, -2*w + 5*w + q*v = 9 for w. 3 Let c(d) be the first derivative of -d**3/3 + 7*d**2/2 + 13*d - 14. Let s be c(8). Solve -5*w + s*f = 25, 2*w = -0*f + 3*f - 12 for w. -3 Let m be -1 + (2 - 2) + 33/3. Let d be (-1)/(-4)*(2 + m). Solve 0 = x + d*i + 4 + 2, 5*x - 4*i = 8 for x. 0 Suppose b - 7 = -4*g - 2*b, g - 6 = -5*b. Suppose 2*m + 3*c = -0*c - 17, 0 = -5*m + c. Let r = g + m. Solve 5*t - 32 = t - 5*y, r = 4*t + 2*y - 20 for t. 3 Let j(a) = -a**3 - 7*a**2 + a + 11. Let q be j(-7). Solve -q*m = m - 5, 3*b = m - 10 for b. -3 Let g(j) = -7*j - 10. Let q be 44/(-10) - 14/(-35). Let i be g(q). Solve -w - i = -3*d + 7*d, 28 = -5*d - 4*w for d. -4 Suppose 0 = 2*v + 4*s - 14, v - 6 = -4*s - 1. Let g = -7 + v. Solve 2*k - 3*m = -g*k - 6, 5*k = -4*m - 23 for k. -3 Let p = 45 - 9. Let u = 39 - p. Solve 0 = u*c + 3 - 12, -5*z = 5*c - 25 for z. 2 Suppose 15 = -5*a + 145. Solve 0 = -r - 3, -4*r = 3*k - 8 + a for k. -2 Suppose -3*v + 5*m = -31, -2*m - 7 = -2*v + 7. Suppose -727 = -341*j + 637. Solve -l + 2*s = -2, v*l = -2*s + j*s + 2 for l. 0 Let p(c) = -10*c - 3. Let o be p(-2). Let f = 15060 + -15055. Solve -f*r = i + o, 4*r = r - 2*i - 13 for r. -3 Let p = -45 + 46. Suppose -q = -s - p, 0*q - q - 11 = -4*s. Solve -3*k + 12 = -s*m - 2, 6 = -m + 2*k for m. -2 Let g(d) = -d**3 + 41*d**2 + 85*d + 45. Let r be g(43). Solve -r*m + 8 = 0, 4*u - 4 = 3*m - m for u. 3 Let p(f) = -f**2 - 8*f - 5. Suppose 0 = -s - 20 + 161. Let n be 6/(-21) + s/(-21). Let j be p(n). Solve 3*k - 4*y = 4 + j, -1 = -4*k + 3*y for k. -2 Suppose 0 = 16*p - 5*p - 121. Let y = 4 - -11. Solve 3*n - y = f, -2*n + p = -f - 0 for n. 4 Let z be 8*(5/1)/10. Let p be (-4)/12*3 + z. Let b(a) = a**3 + 4*a**2 - 7*a - 6. Let v be b(-5). Solve -f + 6*f + 32 = -p*k, v*k = 4*f for k. -4 Let l = -110 + 75. Let q = 39 + l. Solve -3*z = -3*o, q*o + z + 35 = -2*z for o. -5 Let t(x) = x**3 + 9*x**2 - 19*x + 33. Let m be t(-11). Solve -2*h = -4*g + 2, -h - 2 = -m*h - g for h. -3 Suppose -2*f = -5*b - 5, 2*f - 3 = 19*b - 16*b. Solve -5*g - 2*y + 1 = f, y = -5*g - 4*y + 10 for g. -1 Suppose -5*c + 11 + 19 = 0. Let o = c - -33. Let t be 111/o + 4/26. Solve -4*d = t*u + 8, 6 = 3*u - u - 3*d for u. 0 Let b be ((-33)/12)/(1/(-4)). Suppose -3*q - 4*u = 7, 3*q - 2*u = 2*q + b. Let k be 4/((-3)/(q + -6)). Solve 0 = -4*f - g - 0*g - k, g + 5 = -5*f for f. -1 Let d(z) = z**3 - 4*z**2 - z + 10. Let b be d(4). Suppose b*x - x = 2*j - 19, 0 = 2*j + 2*x + 2. Solve 0 = 5*w + 10, -4*s - 6 = j*w + 10 for s. -3 Let k be (-14 - -12)/((15/(-10))/3). Solve 2*d - 5*h - 22 + 6 = 0, 0 = 5*d - k*h - 23 for d. 3 Let i(o) = o**2 - 2*o - 33. Let c be i(7). Solve -c*j - 4*h = 9 + 5, -5*h - 22 = j for j. 3 Let n(r) = -2*r**2 + 44*r + 50. Let b be n(23). Suppose -19 + 11 = -b*c. Let m = 0 + 2. Solve -c*x - u + 11 = x, m*x - 3*u = 0 for x. 3 Suppose 5*c + 5 = t, -4*c = 4*t - 13 - 7. Solve -4*n + y - 4 = 0, t*n - 4*y + 14 = -2 for n. 0 Let j(v) be the third derivative of -v**4/12 - v**3/6 + v**2. Let l be j(-2). Solve -11 = 7*g - 2*g - 4*x, -3*x = l for g. -3 Suppose 0 = -4*a + 2*s + 13 + 5, -a = -5*s. Suppose 0 = a*b - 4*b - 10. Suppose 0 = -4*z + b + 10. Solve 3*y - 3*i - 15 - 3 = 0, -z*y + 3*i + 22 = 0 for y. 2 Let r = 182 - 171. Suppose -n + 2*j = 5*j + 3, -2*n + 5*j - 28 = 0. Let m = n + r. Solve 1 = -m*f + 4*w - 11, -w - 11 = -4*f for f. 4 Suppose -3*t - 2*t - 30 = 0. Let p = -11 + 0. Let b = t - p. Solve 5 = -5*u - 5*d - 5, 2*u = -b*d + 5 for u. -5 Suppose -60 = 5*n + y, 4*y = -5*n - y - 80. Let g = n - -36. Solve 4*w - g = 5*l, 0*l + 4*w - 17 = -3*l for l. -1 Let k = 21 - 16. Suppose -k = -4*g + 3. Solve g*v = 3*z - 13, -2*v + 27 = 5*z - 0*v for z. 5 Let q be 38/6 + (-8)/(-12). Let n(v) = -v + 11. Let p be n(q). Suppose -p*x = -g, 3*x = g - 0*g. Solve -2*f + 0*y + y = g, 0 = 2*f - 2*y - 4 for f. -2 Let k = 258 + -252. Solve -2*s - g - 3*g + k = 0, -2*s + 3 = 3*g for s. -3 Suppose -286 = -21*z - 244. Solve -z*n - 23 = 5*c, -n + 8 = 4*c + 24 for c. -3 Let i(j) = 2*j + 2 - 4 + 1. Let g be i(3). Let n = 3 + g. Solve -2*l - n = 2*a + 3*a, -2*l - 8 = -2*a for a. 0 Let k(r) = -r**3 - 14*r**2 + 16*r + 29. Let w be k(-15). Suppose 2*i = -2*i + 5*h + 28, -3*i = 5*h + w. Solve -5*g - 5 = 0, -3 - 19 = 5*f + i*g for f. -4 Let g be 10/4*96/15. Let n be (-3 - -1)*(-56)/g. Suppose -3*b - 2*r = -5 - 0, n = 5*b + 4*r. Solve 5*z - p - 5 - 6 = 0, 0 = -z - 5*p - b for z. 2 Let y be (-1616)/(-18) + 10/45. Let s = y - 70. Solve 0 = -2*g - 3*x + 20, g - 4 = 5*x - s for g. 4 Let k be (5 + -4)*3/1. Suppose 3*z - 14 + 44 = 0. Let r be ((-15)/z + 0)*2. Solve -5*w = 2*n - 15, -2*w - k = -3*n - r*w for n. 0 Suppose -2*o - 8*u = -13*u - 55, 2*o - u - 35 = 0. Solve 3*t + 5*w + o = 20, -3*w + 3 = 5*t for t. 0 Let u be 2*4/32 - (-44)/16. Solve -2*q - 3*t - 20 = 3*q, 0 = u*t for q. -4 Let u be (5 + -8 - 0)/((-27)/18). Solve u*o = 3*s + 5*o - 6, o = -1 for s. 3 Suppose 6*r - 4*r - 3*d - 20 = 0, -r - 4*d = -10. Suppose 0 = z - 6*z + r. Solve 0 = -0*m + m + 1, -z*m = 2*y - 2 for y. 2 Suppose -d -
{ "pile_set_name": "DM Mathematics" }
*(0 - 4 + 0) + 2 + 2 - 1)*(30*c + 42*c - 22*c). 350*c Expand (-8*f**2 - 5*f**2 + 5*f**2)*(-2 + 0 + 1)*(-8*f + 8*f + f) + (f**2 - 2*f**2 + 0*f**2)*(4*f + 1 - 3*f + f). 6*f**3 - f**2 Expand (-39*f + 8*f - 6*f + (-2 - f + 2)*(-13 - 19 - 2))*(-2*f**2 + 2*f**2 - f**2). 3*f**3 Expand (-5 + 4 - 9)*(0 + 3 - 2)*(-37*p + 16*p + 12*p). 90*p Expand (2*s**3 + 2 + 10*s**2 + 2*s - 10*s**2)*(27*s - 160*s - 11*s). -288*s**4 - 288*s**2 - 288*s Expand (-2*k**2 - 2*k**3 + 2*k**2)*(-5*k + 0*k + 6*k) - k**4 + 3*k**4 + 0*k**4 + (-k + 4*k - 2*k)*(-6*k**3 + 6*k**3 + 24*k**3). 24*k**4 Expand (2519*w - 1382*w + 1531*w)*((-4 + 4 + 2*w)*(-4*w**2 + 3*w**2 + 3*w**2) + 2*w**2 - 2*w**3 - w**2 + w**3). 8004*w**4 + 2668*w**3 Expand (2 - k + 0 - 1)*(-k - 8*k - 6 + 7*k)*(-2 + 0 + 3)*(53 - 362 - 117). -852*k**2 - 1704*k + 2556 Expand (0*b - b + 2*b)*(-4 + 4 + 2) + (-163 - 916 - 875)*(-2*b - 3*b + 4*b). 1956*b Expand (-3*n**4 + 0*n**4 - 4*n**4)*(568*n - 578*n + 1123*n) + (2*n**4 - 2*n + 2*n)*(-5*n + 2*n + 2*n). -7793*n**5 Expand (-8 - 9 + 6)*(4*y - 4*y + 3*y)*((-2*y + y + 0*y)*(-1 + 5 - 2) + y - 3*y - 5*y + (2 + 2 - 2)*(-2*y + 2*y + y) - 2*y + 5*y - 2*y). 198*y**2 Expand (-2*i + 2*i + 4*i)*(-2 - 1 + 6)*(2 - 6 + 3)*(0 - 2 + 1 + (3 - 2 - 3)*(-3 - 2 + 0) - 1 - 2 + 5). -132*i Expand (4 + 0 - 3)*(-3*t**3 + 0*t**3 + 2*t**3)*(-12285 + 4642 - 6367). 14010*t**3 Expand (-4 - 1 + 4)*(4 - 4 - 2*o)*(-8 + 68 + 16)*(5*o - 2*o - 4*o). -152*o**2 Expand (-2213*x**3 + 89299 - 89299)*(-3 + 4 + 0)*(2 + 3 - 3). -4426*x**3 Expand (-19*n - 7*n + 2*n)*(-3*n - 10*n + 11*n + 26). 48*n**2 - 624*n Expand 14 - 5*q - 14 - 4*q - 2*q + q + (-2 + 3 + 0)*(-38 - 17*q + 38) + q + q - q. -26*q Expand (-2*h + 61 - 31 + 3*h)*(-4*h**2 + 2*h**2 - 6*h**2). -8*h**3 - 240*h**2 Expand (-2*l - 3 + 3)*(-1 + 5 - 2) + 4518*l + 4918*l - 7324*l. 2108*l Expand (3 + 2*z - 3)*((-1 - 2 + 2)*(2 + 2 - 5) - 16 + 4 - 4). -30*z Expand (-140586 + 140586 - 24*g + (-g - g + 4*g)*(2 - 6 + 2) + 1 + 2*g - 1 - g + 0*g + 2*g)*(-4 - 3 + 5). 50*g Expand 3*y**2 + 182*y + 185*y - 362*y + (-5*y + 0*y + 4*y)*(1 - 1 + y). 2*y**2 + 5*y Expand ((0 - 2 + 4)*(3 + 2 - 3) + 0 - 1 - 1 + 0 + 0 - 4 + (-4 - 1 + 4)*(2 + 2 - 2) - 2 + 2 - 2)*(3*x - 5*x - x). 18*x Expand (b**3 - 3*b**3 + 0*b**3)*(-9*b - 4*b + 40*b + (b + 4 - 4)*(2 + 0 - 1)). -56*b**4 Expand -2348*l**2 - 2734*l**2 + 5932*l**2 - 1 + (-1 - 1 + 0)*(0*l**2 - 2*l**2 + l**2) - 2*l**2 + l**2 + 2*l**2. 853*l**2 - 1 Expand -94*k**3 - 109*k**3 + 24*k**3 - 5*k**3 + 4*k**3 + 0*k**3 + (k**3 - k**3 + k**3)*(-5 + 2 + 2) + (3 + 1 - 6 + (-3 - 1 + 2)*(1 + 0 + 5))*(2*k**3 + 1 - 1). -209*k**3 Expand (3489*m - 16476*m + 8676*m)*(-5*m + 0*m + 3*m)*(-2*m + 2*m - m**2). -8622*m**4 Expand (-4*s - 5*s + 8*s)*((-1 + 1 + 1)*(2*s + 0 + 0) + 1370*s - 124*s + 338*s). -1586*s**2 Expand 3*u + 2*u - 3*u + (-2 - 2 + 2)*(-u + 2*u - 3*u) + (-6 - 2 + 4)*(502 + 78*u - 502). -306*u Expand (3*s**2 + 10*s**2 - s**2)*((0 - 1 + 3)*(0 - 2*s + 0) - 2 + 2 - s - 221*s + 58*s + 580*s). 4944*s**3 Expand (-28*t**2 + 48 - 48)*((2 - 2 + 1)*(-13*t**2 + 93*t**2 - 6*t**2) - t**2 + 0*t**2 + 0*t**2). -2044*t**4 Expand -151*j - 70*j - 153*j + (-2 + 2 - 4*j + j - 2*j + 3*j + (2 - 4 + 3)*(-4*j + 2*j + j))*((-1 + 1 + 2)*(2 - 5 + 2) - 3 + 2 - 1). -362*j Expand (-2*u**3 - 3*u**3 + 4*u**3)*(-1207 - 228*u**2 + 1207) - 4*u**4 - u**5 + 4*u**4 + (-3 - 2 + 3)*(u**2 + u**5 + 7*u**2 + 0*u**2). 225*u**5 - 16*u**2 Expand (-1 - 1 + 0)*(-50*s - 244756*s**2 - 237*s + 244757*s**2). -2*s**2 + 574*s Expand (1 + 4 - 6 + (2 - 4 + 3)*(-2 + 4 + 0))*(-5*h + 5*h - 2*h**2)*(1210 - 700 + 1635). -4290*h**2 Expand (687*y - 479*y + 779*y)*(-1 + 0 - 1)*(-4 + 2 - 1). 5922*y Expand (85 - 85 - 32*y)*(-41 + 41 + 29*y). -928*y**2 Expand 2*f**2 + 2*f**2 - 5*f**2 - 8*f**2 + 2*f**2 + f - f + (-f + 3*f - 4*f)*(-3*f + f + 0*f) + 2*f**2 + f**2 - 4*f**2 - 3*f**2 - 3*f**2 + 3*f**2. -7*f**2 Expand (7047 - 35571 - 25524 + 2624 + 107)*(-3*l + 4*l + 0*l). -51317*l Expand (-5 + 7 + 3)*(13 + 2467*j + 16 - 28 + 2508*j). 24875*j + 5 Expand (2*u - 6*u + 0*u)*(-2 - 2 + 2)*((1 - 5 + 2)*(137 - 35 - 39) + 0 + 2 - 4). -1024*u Expand -3*b**3 + 7*b**3 - 3*b**3 + (b**2 - 4*b**2 + b**2)*(-9*b + 0*b - 2*b) + 111*b**3 + 79*b**3 - 4*b**3 + 132*b**3. 341*b**3 Expand (200*g + 151 - 151)*(38 - 38 + 8*g**4). 1600*g**5 Expand (-3 + 4 + 0)*(-3 + 4 - 3 + 2*y)*((-4*y + 4*y + 2*y)*(-15 + 23 - 13) - 13*y + 7*y - 6*y). -44*y**2 + 44*y Expand (0*a - 3*a + a)*(-36 + 98 + 59)*(32 - 113 + 56). 6050*a Expand 1 - q**3 - 1 + (-10*q**2 + 5*q**2 - 8*q**2)*(19*q - 19 + 19) + (2*q - 2 + 2)*(5*q**2 - 4*q**2 + q**2) + 3 - 2*q**3 - 3. -246*q**3 Expand (-3 + 1 + 1 + 2 - 1 + 0 - 3 + 1 + 0 + (-2 + 0 + 3)*(-1 - 3 + 6) - 1 + 1 - 2 + (-2 + 5 - 2)*(-2 - 5 - 4))*(210*c**2 - 97*c**2 + 37*c**2). -1950*c**2 Expand (-3 + 0 + 4 + (0 - 2 + 4)*(1 - 2 + 0) - 45 - 91 - 91)*(-2*t**2 - t**2 + 4*t**2 + (-t + 2*t + 0*t)*(0*t + 0*t - 2*t)). 228*t**2 Expand (-5 - 9 + 0)*(-c**2 + 4 - 4) + (249 + 101*c**2 - 249)*(-2 + 3 + 3). 418*c**2 Expand (2*o**2 - o + 6*o - 3*o - 8*o**2 + 109 - 109 + (4*o + 0*o - 2*o)*(0 + 0 - 2*o))*(-27*o**3 + 28*o**3 + 74*o**3). -750*o**5 + 150*o**4 Expand (8*t - 6*t + 4*t)*(-3 - 7 - 4 + (-1 - 2 + 2)*(2 - 2 + 2)). -96*t Expand -10*z**3 + 0*z**3 + z**3 + (-4*z + 3*z - z)*(-1546356*z - 902*z**2 + 1546356*z). 1795*z**3 Expand (5*o + 0*o - 6*o)*(-1 - 1 + 3) + 5*o + 3 - 3 + (-4 + 0 + 5)*(-3*o + 2*o - o) - 11*o + 9*o - 16*o. -16*o Expand (-3*j + 3 - 3)*(7*j**4 - j**4 - 4*j**4) - 2*j**5 - 20*j**2 + 31*j**2 - 22 + 23. -8*j**5 + 11*j**2 + 1 Expand (347 - 549 - 531 + 2982)*(n + 0*n + 0*n). 2249*n Expand (2*u + u - u)*(3*u - 4*u - 13*u)*(-2*u - 5*u + 19*u). -336*u**3 Expand (-31*y**2 - 17*y**2 + 131*y**2)*(-3*y**3 - 3*y**3 + 10*y**3). 332*y**5 Expand (-8 + 8 + 12*i)*(-2*i - 3*i + 4*i) + 1 - 3*i**2 - 1 + (-3*i - i + 3*i)*(i + 0*i + 0*i) + 19*i**2 - 23*i**2 + 18*i**2. -2*i**2 Expand -v + 13*v**2 + 4 - 19*v**2 + 0*v + (4 + 1 - 1)*(3*v**2 - 2*v**2 - 5*v**2). -22*v**2 - v + 4 Expand (4*a - a - 4*a + (3*a + a - 3*a)*(-2 - 3 + 3) + 10*a + 3*a - 6*a)*(-1 - 2 - 2)*(1 - 4 + 1)*(-4 + 1 + 6). 120*a Expand (3*o**4 - 4*o + 4*o)*(0*o + 0*o + o) + (-3*o**4 + 4*o**4 - 2*o**4)*(0 + 0 - 2)*(-209*o - 54*o - 615*o). -1753*o**5 Expand (-3*q**3 - 27*q + 27*q)*(-3*q + 6*q + 5*q) + (1 + 2 + 0)*(-q**4 + 2*q**4 + q**4). -18*q**4 Expand ((-2*b - 1 + 1)*(-b + b + 2*b) + 2 + 2*b**2 - 2)*(1171*b - 1171*b + 47*b**2)*(32*b - 3*b + 15*b). -4136*b**5 Expand (-47 + 96 + 1055)*(3*t - 3*t + 2*t). 2208*t Expand (7 - 2 - 3)*(233*h**3 + 162*h**3 + 939*h**3 - 4 + 4 + 2*h**3 + 2*h**3 - 3 + 3 + (0*h**2 - 2*h**2 + 0*h**2)*(-2*h + 2*h - h)). 2680*h**3 Expand (3404 + 654*t - 3404)*(0*t**3 + 2 - 1 + 3*t**3). 1962*t**4 + 654*t Expand (-13*n - 5*n + 70*n)*(2*n - 3*n + 2*n - n - 2*n + 2*n - n - n + 4*n + (-1 - 1 + 3)*(-2 + 2 + n) - 1 + 1 + n + 4*n + 4*n - n). 572*n**2 Expand 8*d**5 + 0*d**5 + d**5 - 3*d**5 - 2*d**5 + 3*d**5 + (-2*d - 2*d + 2*d)*(5*d**4 - 2*d**4 - 2*d**4) + 57*d**5 - 337*d**5 - 255*d**5. -530*d**5 Expand (0*o**2 + 0*o**2 - 2*o**2)*(3*o**2 - 3*o**2 - 2*o**2) + 221771424*o + 225*o**3 + 166*o**4 - 221771424*o - 4*o + 3*o**4 + 4*o. 173*o**4 + 225*o**3 Expand -589 + 589 - 311*q + (-1 + 2*q + 1)*(4 - 4 + 2) + q + 3*q - 5*q. -308*q Expand (19*c**3 + 33*c**3 - 347*c**3)*(-2*c + 3*c + 0*c + (-2 + 1 - 1)*(-2*c + 2*c - 2*c) - 2*c - c + c). -885*c**4 Expand (-2*d + 5 - 5)*(-3*d + 3*d + 2*d) + (d + 3 + 2*d - d)*(-438 - 587 - 332)*(3*d - 3*d - d). 2710*d**2 + 4071*d Expand (11 - 30 - 32)*(4*d + d - 6*d)*(10*d + 96 - 96). 510*d**2 Expand (-1746 - 194 - 833 - 292)*(s - s + 3*s)*(-1 - s + 1). 9195*s**2 Expand (-4*w + 4*w + 6*w**2)*(-2 + w**2 + 2 + (4*w - 5*w - 3*w)*(15606 - 123*w - 15606)). 2958*w**4 Expand (0 + 1 - 2)*(-18 + 6 + 0)*(15*r**4 + 16*r**4 + 6*r**4). 444*r**4 Expand (-p**3 + p - p + (-5*p + 4*p + 0*p)*(-2*p**2 + 2*p - 2*p) - 4*p + 4*p - 2*p**3)*(-2*p + 0*p - 2*p)*(50 - 64 + 153). 556*p**4 Expand -4*o**3 - 9*o**3 - 7 + 10 + (6*o**3 - 22 + 22)*(3 - 2 - 6)*(2 + 2 - 2). -73*o**3 + 3 Expand (45027*x - 45027*x + 498*x**2)*(-6 + 3 + 2) + (2 + 3*x**2 - 2)*(3 - 5 + 3) + x**2 + 2*x**2 - 4*x**2. -496*x**2 Expand u + 0 + 0 + 2*u + 4 - 4 + (0 - 5 + 3)*(-3*u + 3*u + 2*u) - 13*u + 0*u + 2*u - u + 4*u - 7*u + 1. -16*u + 1 Expand (-1385 - 138*u + 1385)*(-1 - 2 + 4)*(u**3 + u**3 + u**3) + 0*u**3 + u**3 + 8*u**4 - 5*u
{ "pile_set_name": "DM Mathematics" }
4069*a**4 + 446*a**2 - 11*a - 107 wrt a? 61777656*a Find the first derivative of -20*f**4 + 1586*f**3 - 147*f + 26860264. -80*f**3 + 4758*f**2 - 147 What is the second derivative of -12517*p**2*u**3 + 1315*p**2 + 81*p*u**3 - 33*p*u**2 - 12*p*u + 2*p + u**3 wrt p? -25034*u**3 + 2630 Find the second derivative of -14584618*l**5 + 85481651*l wrt l. -291692360*l**3 Find the third derivative of -1581059*l**5 - 25*l**4 - 2*l**2 + 15212*l - 810 wrt l. -94863540*l**2 - 600*l Find the second derivative of -2*p**2*x**2 - p**2*x - 90*p*x**2 - 2*p*x - p - 199626*x**2 + 129050*x + 7 wrt x. -4*p**2 - 180*p - 399252 Find the third derivative of -20957244*x**3 + 14337244*x**2 wrt x. -125743464 What is the second derivative of -497*k**3*z - 3*k**2*v**2 + 13238*k**2*v + 3487992*k*v**2*z - 5*k*v**2 + k*v wrt k? -2982*k*z - 6*v**2 + 26476*v Find the first derivative of -172879*g*k**2 + 7600495*g - k**3 wrt k. -345758*g*k - 3*k**2 Differentiate 215859654*l + 235688130 wrt l. 215859654 What is the second derivative of 5239409*c**3*r**2 + 11*c**3*r + c**2*r - 76*c**2 - c*r**2 - 10*c*r + 3*r wrt r? 10478818*c**3 - 2*c What is the derivative of 4*o**2 - 18536778*o + 377203790? 8*o - 18536778 Find the second derivative of -3*c**5 + 3089620*c**3 + 3580*c - 149. -60*c**3 + 18537720*c Find the first derivative of 89551*f*p*r**2*y - 49448*f*r**2*y - 37*f + 31*p*r**2 wrt p. 89551*f*r**2*y + 31*r**2 What is the third derivative of 74058*h**2*n**4 - 4*h**2 - 7*h*n**2 - 81*h*n - 2*h - 86*n**6 + 3 wrt n? 1777392*h**2*n - 10320*n**3 Find the third derivative of 55*f**5 + 6158*f**4*i**2 - 388404*f**2*i**2 - 8*f*i**2 wrt f. 3300*f**2 + 147792*f*i**2 Find the third derivative of -104*u**4 - 5983*u**3 + 1930256*u**2 - 1. -2496*u - 35898 What is the derivative of 15842638*g - 53430428? 15842638 Differentiate -34819986*p**2*u + p**2 - 6583833*u wrt p. -69639972*p*u + 2*p What is the second derivative of 373*u**5 + 2410*u**4 + u**3 + 52656832*u wrt u? 7460*u**3 + 28920*u**2 + 6*u What is the second derivative of -2*o**4 - 777469*o**2 - 48*o + 28300? -24*o**2 - 1554938 Find the third derivative of -1782438*a**3*b*j**2 + 3710*a**2*j**2 + 2*a*b*j - 1470*a wrt a. -10694628*b*j**2 Find the first derivative of -2*r*t*u + 15*r*t - r + 37*t*u + 253354*t + 18770*u wrt u. -2*r*t + 37*t + 18770 Differentiate -125682744*q**2 - 370019122. -251365488*q What is the second derivative of -7388627*c**3 - c**2 - 88558083*c? -44331762*c - 2 What is the third derivative of 6*n**5 + 6*n**4 - 11308*n**3 + 10781551*n**2 wrt n? 360*n**2 + 144*n - 67848 What is the second derivative of -3*l**4 - 24586821*l**2 + 4370124*l + 62 wrt l? -36*l**2 - 49173642 What is the second derivative of 38933*h*y**4 + 3334*h*y**3 - 3*h - 34654342*y wrt y? 467196*h*y**2 + 20004*h*y Find the third derivative of -8*g**6 + 44887858*g**4 - 167309061*g**2. -960*g**3 + 1077308592*g What is the third derivative of 8468*r*s**5 - r*s - 309*s**6 - 199432*s**2 - 1 wrt s? 508080*r*s**2 - 37080*s**3 What is the third derivative of 5194349*x**6 + 825510*x**2 + x + 4? 623321880*x**3 Find the second derivative of 326702103*g**2*w**3 + 15*g*w**3 - 3*g*w**2 + 537*w**3 - w**2 + w - 122 wrt g. 653404206*w**3 Find the second derivative of -2*o**4 + 25439*o**3 - 393*o**2 + 1116266*o - 1 wrt o. -24*o**2 + 152634*o - 786 What is the derivative of 747*c**3*s**2 + 4*c**3 + 46*c**2*s**2 - 654911*c + s**2 wrt s? 1494*c**3*s + 92*c**2*s + 2*s What is the third derivative of 8816121*s*y**3 - 22873549*s*y**2 wrt y? 52896726*s Find the third derivative of -8708684*h**3 - 7408120*h**2 wrt h. -52252104 What is the derivative of 38*r**3*z**2 - 80284266*r**3 + 4157441*z**2 wrt z? 76*r**3*z + 8314882*z Find the third derivative of -27913354*y**6 + y**4 - 3*y**3 - 3*y**2 - 37020007. -3349602480*y**3 + 24*y - 18 Find the third derivative of -207839*i**3*q*r + i**3*q + 138*i**3*r - i**2*q*r + 7*i**2*q + 582315*q*r wrt i. -1247034*q*r + 6*q + 828*r What is the third derivative of -197944993*y**5 + 160919509*y**2? -11876699580*y**2 Find the first derivative of -5521886*f**3*v**3 + v**3 - 236242*v + 3 wrt f. -16565658*f**2*v**3 What is the first derivative of 17200701*g**2 + 3*g + 43309439 wrt g? 34401402*g + 3 Find the second derivative of 15*m**4 + 62263*m**2 + 6431000*m. 180*m**2 + 124526 What is the second derivative of 4*p**3 - 1445760*p**2 - 161281*p + 3 wrt p? 24*p - 2891520 What is the second derivative of -198*l**5 + 64*l**3 - 7*l**2 - 6194870*l? -3960*l**3 + 384*l - 14 Find the third derivative of -52289801*a**3 - 4657378*a**2 wrt a. -313738806 What is the third derivative of -4349365*s**5 + 12*s**2 - 3309? -260961900*s**2 Differentiate 77221190*g**4 - 100245423. 308884760*g**3 Find the third derivative of -1432*x**4 + 142611*x**3 + 687613668*x**2 wrt x. -34368*x + 855666 Differentiate -115335270*p**3 + 40268820 with respect to p. -346005810*p**2 What is the first derivative of -2874865*g*j*v + 1782*g*v*z + 8*g*v - 498*g*z + 113*j*z - 2*z wrt j? -2874865*g*v + 113*z What is the derivative of -26937183*x**2 + 69130746 wrt x? -53874366*x What is the derivative of -185300291*t*v + 91218*t - 196 wrt v? -185300291*t What is the first derivative of -94798*f*q**2 - 13*f*q - 433613*f wrt q? -189596*f*q - 13*f What is the derivative of -8*x**4 - 362643*x**3 + 3902424 wrt x? -32*x**3 - 1087929*x**2 What is the derivative of -6459473*m + 37499368 wrt m? -6459473 Find the third derivative of 10977*l**4 + 226*l**3 + 449032*l**2 + 2*l - 14 wrt l. 263448*l + 1356 Differentiate 12847*b**2*f - 110556674*b**2 + 293*b*f - 2*f with respect to f. 12847*b**2 + 293*b - 2 What is the third derivative of 727755*g**3*o - 14*g**3 - 201*g**2*o + 31124 wrt g? 4366530*o - 84 What is the derivative of 16*k**4 + 328*k**3 + 185*k**2 - 12368249? 64*k**3 + 984*k**2 + 370*k What is the third derivative of -j**3*l**2*t**2 + 6273997*j**3*t**3 + 4*j**2*l**3*t**3 - j**2*t + 13*j*l*t**2 - 17*l**3*t - 866*t**2 wrt t? 37643982*j**3 + 24*j**2*l**3 Find the third derivative of 212433008*r**4 - 1871874*r**2 wrt r. 5098392192*r What is the derivative of -157656463*p*w**2 + 72097489*w**2 wrt p? -157656463*w**2 What is the third derivative of 123323670*t**3 - 1153*t**2 - t - 2529? 739942020 Find the first derivative of 2*h**3*p**2 - 1904*h**3 - 307553*p**2 - 15*p + 11 wrt h. 6*h**2*p**2 - 5712*h**2 What is the second derivative of 2861763*n**5 - 134823*n - 19 wrt n? 57235260*n**3 What is the second derivative of 2*d*h**3 + 5864*d*h**2 - 2*d*h + 121173*d + 75*h**2 + 2*h + 1 wrt h? 12*d*h + 11728*d + 150 What is the second derivative of 186874725*a**3 - 244276041*a wrt a? 1121248350*a What is the derivative of -25664375*i + 34032117 wrt i? -25664375 Find the third derivative of 1113147946*s**3 - 401095629*s**2. 6678887676 What is the first derivative of 428434*k**2 - 61*k + 469453235? 856868*k - 61 Find the second derivative of 79585287*b**2 + 11*b - 1151852 wrt b. 159170574 What is the third derivative of -29664207*l**3 + 3271*l**2 + 57*l - 4? -177985242 What is the derivative of 4*d**3*u - 743187*d**3 - 8*d**2*u - 2*d**2 - 8863*d*u - 2*d - 2*u + 6 wrt u? 4*d**3 - 8*d**2 - 8863*d - 2 Find the second derivative of -47708424*h**2 + 8288808*h. -95416848 What is the second derivative of -5*l**2*z**2 + 28*l**2*z - l**2 - 57191*l*z + 1957445*z**4 wrt z? -10*l**2 + 23489340*z**2 What is the second derivative of -15211637*r**3 - 2*r + 70044 wrt r? -91269822*r Find the second derivative of 21061*c**2*j**3*z + 51*c**2*z - 34179*c*j**3*z + 13*c*z + j**3 + j**2*z wrt c. 42122*j**3*z + 102*z What is the second derivative of -5644461*n**3 - 3976330*n wrt n? -33866766*n Find the third derivative of -5421193*u**3*v**3 + 189*u**2*v - 4573*u*v**3 + v**3 wrt u. -32527158*v**3 Find the second derivative of 17*c**3*g*r**3 - c**3*g*r + 186*c**3*g + 1134545*g*r**3 + 171484*g*r wrt r. 102*c**3*g*r + 6807270*g*r What is the third derivative of 178808*t**4 - 182*t**3 - 8782*t**2 + 61*t - 3? 4291392*t - 1092 Differentiate -23548471*v + 10216992. -23548471 Find the first derivative of -31*c*j**2 - 942*c*j - 233148722*c - 2*j**2 - j wrt j. -62*c*j - 942*c - 4*j - 1 What is the derivative of -4*c**2*p + 64174*c**2 - 96*c*p + 387341*p + 243 wrt c? -8*c*p + 128348*c - 96*p What is the derivative of 7810*k*r*s - 187057*k*r + 12102*k*s + 9*
{ "pile_set_name": "DM Mathematics" }
What is the third derivative of -1391230*h**4 - 21*h**2 + 470*h + 27 wrt h? -33389520*h What is the derivative of 3673456*m + 4575410 wrt m? 3673456 Find the first derivative of -451*g*v**2 + 51*g - 157*v**2 + 71*v + 9 wrt g. -451*v**2 + 51 Differentiate -5*w**2*x + 386*w**2 + 22*x + 15 with respect to w. -10*w*x + 772*w What is the derivative of -2*a**4 - 1546*a**2 - 477*a + 2882523 wrt a? -8*a**3 - 3092*a - 477 What is the first derivative of -5*a**2*d + 2*a**2 - 6*a*d - 39*d + 3114 wrt d? -5*a**2 - 6*a - 39 Differentiate -2972*d*s**3*t + 3*d*s**3 - 2*d*s**2 - 211*d*t - 17*d + 40*s**3 - 20 wrt t. -2972*d*s**3 - 211*d What is the derivative of 648*c**2*h - 10*c**2*k - c*h - 604*c + 7*h*k wrt h? 648*c**2 - c + 7*k Find the second derivative of 403*r**4 - 71*r**3 + 2*r**2 - 76516*r wrt r. 4836*r**2 - 426*r + 4 Find the second derivative of -1982093*d*y**2 - 818*d + 136*y wrt y. -3964186*d What is the second derivative of -50*p**3 - 4104*p**2 + 3410*p + 3? -300*p - 8208 What is the derivative of 34325*l**2 - 16*l + 1270063 wrt l? 68650*l - 16 What is the third derivative of -505*v**6 + 30*v**5 - 21*v**2 - 252 wrt v? -60600*v**3 + 1800*v**2 What is the third derivative of 47222*f**4 + 6*f**2 + 249*f - 4 wrt f? 1133328*f Find the third derivative of 53441*u*v**3 + 2*u*v**2 + 2*u*v + 5799*u + 2*v**3 + 2 wrt v. 320646*u + 12 What is the derivative of -770490*u**2 + 281517 wrt u? -1540980*u What is the derivative of -26*m**2 - 135*m - 40161 wrt m? -52*m - 135 Find the third derivative of -45467*g**3*l**3 + 2*g**2*l**2 - 4*g*l**2 - 4*l**3 - 18 wrt g. -272802*l**3 What is the derivative of -442073*o**2 + 146979 wrt o? -884146*o Differentiate -203*i*w**2 + i + 38*w**4 - 12*w**2 - 477591 with respect to w. -406*i*w + 152*w**3 - 24*w What is the derivative of -821*b*q*z - 2*b*z - 52887*b - 51*q*z wrt q? -821*b*z - 51*z Find the third derivative of -392443*i**3*p**3 + 9*i**2*p**3 + 2*i**2*p - 59516*i*p**3 wrt i. -2354658*p**3 What is the second derivative of 743120*s**2 - 2881054*s wrt s? 1486240 Find the third derivative of 75113*p**3 - 2*p**2 - 51076*p wrt p. 450678 What is the third derivative of 558518*c**4 - 67863*c**2 - 3? 13404432*c What is the second derivative of 18089*g**3 + 8*g - 369 wrt g? 108534*g What is the derivative of -320*f**3*z + f**3 - 5*f**2*z**2 + 3645*f + 4*z**2 wrt z? -320*f**3 - 10*f**2*z + 8*z What is the third derivative of -349585*i**3 - 1262*i**2 - 11*i - 5 wrt i? -2097510 What is the third derivative of -733327*l**4 + 2*l**3 - 587824*l**2? -17599848*l + 12 Differentiate -3*d*q**2 + 336*d*q - 283*d - 14*q**2 - q - 61 with respect to q. -6*d*q + 336*d - 28*q - 1 What is the second derivative of -3*d*v**4 - 2*d + 31098*v**4 + 211350*v wrt v? -36*d*v**2 + 373176*v**2 Find the second derivative of 174*t**3*z - 6*t**3 + 3*t**2*z**2 - 2*t*z**2 - 12*t*z + 81*z**2 wrt t. 1044*t*z - 36*t + 6*z**2 What is the third derivative of -193569*o*x**6 - 600070*o*x**2 - x**6 wrt x? -23228280*o*x**3 - 120*x**3 Find the second derivative of -53*b**3*o*u**2 + b**3*o + 125*b**3*u - 56*b**2*o*u + b*o*u**2 - 191*b*u**2 - 2*u wrt u. -106*b**3*o + 2*b*o - 382*b Differentiate -2*d**2 + 58*d*t + 81*d - 2395*t - 9 with respect to d. -4*d + 58*t + 81 Find the second derivative of 2027*q**4 - 82*q**2 + 618041*q. 24324*q**2 - 164 What is the first derivative of 2*h*n**2 - 7*h*n - 4*h - 185*n**2 + n - 49692 wrt n? 4*h*n - 7*h - 370*n + 1 Differentiate -12*w**4 - 27*w**3 - 3*w**2 - 115552 with respect to w. -48*w**3 - 81*w**2 - 6*w Differentiate -324*b**2*f**2 - 31*b*f**3 - 929*f**3 - 167*f with respect to b. -648*b*f**2 - 31*f**3 What is the second derivative of -2*g**5 + 35355*g**4 - 2*g + 66633 wrt g? -40*g**3 + 424260*g**2 Differentiate -241395*t**4*u + 3*u + 34600 wrt t. -965580*t**3*u What is the second derivative of -2*p**2*s**3 - 8446*p**2*s**2 + 65154*p*s**3 wrt p? -4*s**3 - 16892*s**2 What is the first derivative of -6*a**2*p + 2*a**2 - 38*a*p + 40*a - 527315*p wrt a? -12*a*p + 4*a - 38*p + 40 Find the third derivative of -48761*a**5 + 87269*a**2 wrt a. -2925660*a**2 Find the third derivative of 307167*f**3 + 2*f**2 + 121761 wrt f. 1843002 What is the third derivative of 64*g**5 - g**4 + 2339*g**3 - 206*g**2 + 428 wrt g? 3840*g**2 - 24*g + 14034 What is the first derivative of 34954*f*g + 60*f*s - 8*g*s - 5*g - 106*s wrt s? 60*f - 8*g - 106 What is the third derivative of 149007*z**5 + 1033728*z**2 wrt z? 8940420*z**2 What is the second derivative of 295181*j*p**2 - 25*j*p - p + 18 wrt p? 590362*j Find the second derivative of -140191*m**3 + 237*m - 502. -841146*m Find the second derivative of 1584*b*d**2*i**3 - 79*b*d*i**2 + 8*b*d*i + 5*b*d - 2*b*i**2 + 120*d**4*i**3 + 2*d*i**3 + 1 wrt d. 3168*b*i**3 + 1440*d**2*i**3 Find the third derivative of -446423*t**3 - 1111943*t**2 wrt t. -2678538 Find the second derivative of -3399*r**2 - 92333*r wrt r. -6798 Find the third derivative of 32*s**5 + 2*s**4 + 137*s**3 + 369635*s**2. 1920*s**2 + 48*s + 822 Find the first derivative of -54203*v**2*z**2 + 3*v**2*z - 2*z**2 + 20918*z wrt v. -108406*v*z**2 + 6*v*z Find the third derivative of -c**4*m - 1090951*c**4 + 2*c**3*m + 16*c**2*m + 35*c**2 - 3*c*m - 3*c - m wrt c. -24*c*m - 26182824*c + 12*m What is the third derivative of 474894*d**3 + 774*d**2 - d + 24? 2849364 What is the third derivative of 82*l**3*q - 188*l**3 - 148*l**2*q + 2*l**2 - 50*l*q wrt l? 492*q - 1128 What is the first derivative of c**3*p**3 + 70996*c*p**3 + 3*p**3 + 550*p**2 - 225*p wrt c? 3*c**2*p**3 + 70996*p**3 What is the third derivative of -470*s**5 - 169*s**3 - 389161*s**2 wrt s? -28200*s**2 - 1014 What is the third derivative of -338*h**5 + 160*h**4 + 136*h**2 - 55? -20280*h**2 + 3840*h Find the third derivative of 16300*f**4 - 11*f**3 + 29*f**2 - 4566 wrt f. 391200*f - 66 Find the first derivative of 1497028*j - 798162. 1497028 What is the second derivative of 60565*z**2 - 214902*z wrt z? 121130 What is the first derivative of -2*n**2*q**2 - 3*n**2*q - 3*n**2 + 2*n - 583*q**3 - 1033 wrt q? -4*n**2*q - 3*n**2 - 1749*q**2 Differentiate 1056068*a*w**3 + 28*w**3 + 175*w**2 + 4*w with respect to a. 1056068*w**3 Find the third derivative of -28*n**3*t*y - 55*n**3*y**3 - 309*n**2*t*y - n**2*y**3 wrt n. -168*t*y - 330*y**3 Differentiate 239764*o - 454426 wrt o. 239764 What is the second derivative of 16*a**3 - 1193*a**2 + 58755*a? 96*a - 2386 What is the second derivative of -2600615*p**4 - 1261808*p? -31207380*p**2 What is the third derivative of 2896*f**4 + f**3 - 2*f**2 + 3*f - 141? 69504*f + 6 What is the third derivative of 3517086*p**3 - 2629719*p**2 wrt p? 21102516 Find the first derivative of -3*w**2 + 7016*w + 15091 wrt w. -6*w + 7016 What is the second derivative of 55677*j**5 + 385098*j? 1113540*j**3 Find the third derivative of -143749*k**5 + 154158*k**2 wrt k. -8624940*k**2 Differentiate 8*j**3*w*y + 7*j*w*y - 125*j*w + 2*w*y - w - 2*y + 26866 with respect to j. 24*j**2*w*y + 7*w*y - 125*w Find the third derivative of 69920*i**3 + 67155*i**2. 419520 What is the third derivative of -1809*b**6 - b**3 - 58945*b**2? -217080*b**3 - 6 Find the third derivative of -6*h**6 - 4*h**4 - 2812*h**3 - 73*h**2 + 40*h. -720*h**3 - 96*h - 16872 Differentiate f**4*p - 40236*f*p + 68178*p with respect to f. 4*f**3*p - 40236*p What is the second derivative of 54243*l**5 + 61*l + 55 wrt l? 1084860*l**3 Find the first derivative of -c*h**3 - 1193233*c*h**2 - 63*h**3 - h**2 - 4*h - 706 wrt c. -h**3 - 1193233*h**2 Differentiate 3077*l*o*u - l*o - 2*l*u + 7*l - 12*o*u - o + 1131 with respect to o. 3077*l*u - l - 12*u - 1 Find the second derivative of -g**3 - 819584*g**2 + 2*g + 770166 wrt g. -6*g - 1639168 Find the third derivative of -39*b**4*g*x + 11*b**3*g**3 + 4*b**3*g*x + b**2*g + 6*b*x + 95*g**3 wrt b. -936*b*g*x + 66*g**3 + 24*g*x What is the derivative of 4*c**2*v**2 - 183920*c**2 - 3*c*v**3 + 13*c*v wrt v? 8*c**2*v - 9*c*v**2 + 13*c What is the third derivative of -j*z**5 - 3058*j*z - 2*j - 2623*z**6 + 3*z**2 wrt z? -60*j*z**2 - 314760*z**3 What is the second derivative of c**2*m**3 + 344164*c**2*m*q + 2*c*m**3*q + 21*c*m**2 - 6*m**3*q - 18*q wrt c? 2*m**3 + 688328*m*q Find the third derivative of -4*p**4*u**2 + 3*p**4*u + 32*p**3*u**3 + 12171*p**2*u**2 + 3*p*u**3 + 2*u**2 - 1 wrt p. -96*p
{ "pile_set_name": "DM Mathematics" }
the third derivative of -8*t**2 - 4*t**2 - 13*t**2 + 1544*t**3 + 10*t - 14*t**2 wrt t? 9264 Let s(j) be the second derivative of 45*j + 0 + 14*j**2 + 7/20*j**5 + 7/12*j**4 + 0*j**3. Differentiate s(q) wrt q. 21*q**2 + 14*q Let k(n) = -20*n - 112. Let a be k(-6). What is the third derivative of -22*w**3 + 40*w**3 + 139*w**2 - 25*w**3 + a*w**4 wrt w? 192*w - 42 Let j = -176 - -257. Let m be (j/18)/((-6)/8 - -1). What is the derivative of 3 + m*o - 2 + 6 - 3 wrt o? 18 Let k(m) be the second derivative of 2 + 0*m**4 - 63*m + 0*m**2 + 139/20*m**5 - 22/3*m**3. Find the second derivative of k(v) wrt v. 834*v Suppose -9*y + 15 = -4*y. Find the second derivative of 7*j**y + 12*j + 14*j - 15*j**3 - 7*j**2 + 8*j wrt j. -48*j - 14 Let b(m) be the third derivative of 67*m**8/112 + m**6/15 + 577*m**5/10 + m**4/12 - 9965*m**2. What is the third derivative of b(v) wrt v? 12060*v**2 + 48 What is the second derivative of -8 + 2*k**2 + 32*k + 177*k**5 + 8 + 63*k wrt k? 3540*k**3 + 4 Let p(j) be the third derivative of -239*j**5/15 + j**4/12 - 397*j**3 + 2418*j**2. What is the derivative of p(l) wrt l? -1912*l + 2 Let k = 88 - 82. Suppose 6*b = 9*b - k. Find the first derivative of 18 + 1651*m**2 + 14*m**4 - 1651*m**b wrt m. 56*m**3 Let l be -1 - 10/5 - 31. Let i = -34 - l. Find the second derivative of -6*w**5 + 14*w**5 + 14*w + i*w**3 + 0*w**3 wrt w. 160*w**3 Let z be (-9)/(-21)*294/63. Find the third derivative of 33*d**z + 7*d**3 - 2 - 2*d**4 - 88*d**2 - 14*d**3 wrt d. -48*d - 42 Let r(i) = 7*i**3 - 8*i**2 + 162*i + 1308. Let f(d) = -8*d**3 + 10*d**2 - 163*d - 1310. Let v(s) = -4*f(s) - 5*r(s). Find the first derivative of v(g) wrt g. -9*g**2 - 158 What is the first derivative of -926 + 51*q + 880 - 15*q + 2*q**4 wrt q? 8*q**3 + 36 Let o(y) = 17*y**3 + y**2 + 4*y - 5. Let r be o(1). Find the first derivative of 145 + 19*g + 113 - 35*g + r*g + 77*g**2 wrt g. 154*g + 1 Suppose -w + 51 = 4*w - 3*i, -3*i - 27 = -3*w. Suppose z + 7 = f, 0 = 4*f - 3*f + 4*z - w. Find the second derivative of 11*v + 21*v + f*v**5 - 6*v**5 wrt v. 40*v**3 Let i(k) = -4*k + 16. Let o be i(3). What is the third derivative of 7*l**2 + 22*l**o - l**2 - 14*l**4 + 6*l**4 wrt l? 336*l Let f(p) be the second derivative of 35*p**3/3 - 764*p**2 - 2446*p. Differentiate f(b) wrt b. 70 Let r(p) be the first derivative of -9*p**5/5 - p**4 + 59*p**3/3 - p**2/2 + 1015. Find the third derivative of r(t) wrt t. -216*t - 24 Suppose 19 = -3*u - 2*u + 3*s, -u + 1 = s. Let a = 19 + u. What is the second derivative of -44*y**2 - 10*y**2 + a*y**2 - 23*y wrt y? -74 Let u be (8 + 2)*(3 - 5/(-10)). What is the third derivative of u*f**2 - 23*f**2 - 49*f**5 + 74*f**2 wrt f? -2940*f**2 Let m(w) = 6645*w**3 + 20563*w**2 - 153*w. Let z(x) = 3325*x**3 + 10282*x**2 - 68*x. Let r(i) = 4*m(i) - 9*z(i). Find the third derivative of r(a) wrt a. -20070 Let o(f) = 2*f**2 + 18*f + 12. Let s be o(-9). Find the third derivative of 117*b**3 - s*b + b**2 + 22*b + 146*b**3 + 2*b**2 wrt b. 1578 Let x(q) = q**2 - 33*q - 102. Let w be x(37). Differentiate 69 + 398*f - 332*f + w with respect to f. 66 Let x(g) be the second derivative of -275*g**5/4 + 4383*g**2 - 3481*g. Differentiate x(c) with respect to c. -4125*c**2 Let v(l) = -1321*l**2 - 14*l - 262. Let r(d) = 440*d**2 + 4*d + 80. Let s(u) = -7*r(u) - 2*v(u). What is the derivative of s(w) wrt w? -876*w Let z(v) be the second derivative of -901*v**6/10 + 5*v**3/6 - 80*v**2 - 157*v. What is the second derivative of z(q) wrt q? -32436*q**2 Let k = 219 - 218. Let q(g) = 41*g**2 + 42. Let s(i) = i**2 + 1. Let t(n) = k*q(n) - 6*s(n). Find the first derivative of t(l) wrt l. 70*l Differentiate -1430*f**3 + 156 - 820 - 638 - 744*f**3 with respect to f. -6522*f**2 Suppose -7 + 19 = 2*h. What is the second derivative of -28 - 7*k**3 + h*k**3 + 31*k + 3*k**2 + 27 wrt k? -6*k + 6 Let b(n) be the first derivative of -19*n**2 + 1509*n + 1556. Find the first derivative of b(i) wrt i. -38 Let b(k) be the second derivative of -11737*k**5/20 - 2767*k**2 + 9175*k. Differentiate b(u) with respect to u. -35211*u**2 Suppose -2*d = -7*i + 12*i - 10, 4*i = 0. Find the first derivative of -362 + d*a**2 + 81 + 74*a - 77*a wrt a. 10*a - 3 Let a be -7*(-32)/(-56)*2/(-4). Let b be ((-10)/(-4))/(4/2320*a). Find the second derivative of -b*i + 743*i + 1 - 1 + 13*i**2 wrt i. 26 Let p(h) be the third derivative of 0 - 7*h**2 + 47/24*h**4 + 0*h**6 + 0*h**7 + 1/112*h**8 + 0*h**3 - h + 0*h**5. What is the second derivative of p(v) wrt v? 60*v**3 Let j(n) be the third derivative of -4/3*n**3 + 17/120*n**5 + 7/12*n**4 + 9*n**2 + 0 + 0*n. Let q(v) be the first derivative of j(v). Differentiate q(y) wrt y. 17 Let g(q) be the third derivative of -851*q**5/20 - 25*q**4/24 - 41*q**3/6 + 38*q**2 - 11. Find the second derivative of g(x) wrt x. -5106 Suppose -6*k = 6*k - 72. Find the third derivative of r**k + 5*r**5 - 79*r**2 + 39*r**2 - 54*r + 38*r**2 wrt r. 120*r**3 + 300*r**2 Let v(c) = c + 2. Let d(w) = 87*w - 70*w + 3 + 2. Let z(n) = -d(n) + v(n). What is the first derivative of z(o) wrt o? -16 Let i(g) = 47*g**2 - 174*g - 6. Let f(d) be the first derivative of d**2 + d + 23. Let a(x) = 6*f(x) + i(x). Find the second derivative of a(z) wrt z. 94 Let j = -57 + 65. Let b(r) be the first derivative of -259 - 11*r**2 + 14*r + j*r + 278. Differentiate b(a) with respect to a. -22 Let o be (-116)/16*(-1 + -3). Let y = o + -26. Find the second derivative of -4*i + 6*i - 6*i**3 + 17*i**y wrt i. 66*i Let s(f) = 2622*f**3 - 2*f**2 - 590. Let g(d) = -2622*d**3 + 2*d**2 + 590. Let l(c) = 9*g(c) + 8*s(c). Find the third derivative of l(a) wrt a. -15732 Let p be 1407/134*(2 - 2/7). What is the third derivative of -511*t**3 + 165*t**3 + 135*t**3 + 147*t**3 + p*t**2 wrt t? -384 Let i(a) be the third derivative of 3*a**6/40 - 23*a**5/30 + 205*a**4/8 + 799*a**2. What is the second derivative of i(g) wrt g? 54*g - 92 Let p(r) = -1103*r**5 - 114*r**2 + 3*r + 4. Let f(b) = -2204*b**5 - 229*b**2 + 7*b + 9. Let q(a) = 4*f(a) - 9*p(a). What is the third derivative of q(k) wrt k? 66660*k**2 Let l(s) = 173*s**2 - 18*s - 2308. Let p(b) = -176*b**2 + 16*b + 2307. Let x(u) = 5*l(u) + 6*p(u). Find the first derivative of x(d) wrt d. -382*d + 6 Let b = 652 + -557. Find the first derivative of -226*c**4 + b + 408*c + 404*c + 411*c - 1223*c wrt c. -904*c**3 Suppose -16*c = -12*c - 32. Let f(d) = -2*d + 24. Let y be f(c). What is the second derivative of y*b**4 - 34*b - 20*b**4 - 21*b**4 wrt b? -396*b**2 What is the third derivative of -9497*b**3 + 263671 - 3268*b**2 - 131835 - 1743*b**3 - 131836 wrt b? -67440 Let j(i) be the second derivative of 103*i**4/4 + 145*i**2 + 8*i + 20. Differentiate j(p) with respect to p. 618*p Find the third derivative of -3201*y**2 + 13071*y**6 + 1644*y**6 + 604*y**2 - 2536*y**6 wrt y. 1461480*y**3 Let m(c) = 1047*c**3 + 24*c**2 + 4*c - 1. Let a(d) = 7330*d**3 + 171*d**2 + 30*d - 7. Let l(u) = -2*a(u) + 15*m(u). What is the third derivative of l(r) wrt r? 6270 Let a(o) be the third derivative of -1/30*o**5 + 0 - 59/120*o**6 - 20*o**2 + 1/6*o**4 + 0*o + 0*o**3. What is the third derivative of a(y) wrt y? -354 Let j(w) be the third derivative of -4*w**7/105 - 293*w**6/120 + 1777*w**5/12 + 3755*w**2. What is the third derivative of j(v) wrt v? -192*v - 1758 Let k(m) be the first derivative of 181*m**7/7 + m**4/4 - 1201*m**3/3 + 874. Find the third derivative of k(a) wrt a. 21720*a**3 + 6 Let l(j) be the second derivative of -9*j**7/14 - 29*j**6/30 - 169*j**3/6 - 11*j - 87. Find the second derivative of l(b) wrt b. -540*b**3 - 348*b**2 Let i(t) = -2*t**4 + t - 2. Let r(l) = 619*l**4 - 10*l - 1007. Let k(d) = 22*i(d) + 2*r(d). Differentiate k(b) wrt b. 4776*b**3 + 2 Find the second derivative of v**3 + 2708*v**2 - 212*v - 2708*v**2 - 57*v**4 wrt v. -684*v**2 + 6*v Suppose 0 = -157*g + 156*g + 15838. Find the third derivative of 235*m**5 + 31*m**2 + g*m**3 - 2 - 15838*m**3 wrt m. 14100*m**2 Differentiate -2*f + 0*f + f - 533*f**2 - 983 + 1035*f**2 - 871 with respect to f. 1004*f - 1 Let b(y) be the first derivative of -1765*y**4/2 - 595*y**3/3 - 4781. Find the third derivative of b(k) wrt k. -21180 Let m(x) be the third derivative of 1741*x**6/40 - 3877*x**5/30 + 2*x**2 + 832*x - 1. What is the third derivative of m(n) wr
{ "pile_set_name": "DM Mathematics" }
s**2 + 14398*s + 201309. Give g(-14). -67 Let u(m) = 98*m**2 + 6555*m - 723. Give u(-67). 14 Let u(f) = -f**2 - 31882*f + 95644. Determine u(3). -11 Let z(t) = t**3 - 203*t**2 - 424*t - 13. Determine z(-2). 15 Let h(d) = -d**3 + 360*d**2 - 978*d + 93790. Determine h(358). -6 Let a(r) = r**3 - 29*r**2 + 153*r - 77. Calculate a(20). -617 Let n(y) = -25*y**2 + 151*y - 62. Give n(6). -56 Let d(h) = -2*h**3 - 28*h**2 - 136*h - 37. Give d(-14). 1867 Let m(t) = -210*t**2 - 9853*t + 623. Determine m(-47). -176 Let w(u) = -6*u**2 - 1121*u + 13199. Determine w(12). -1117 Let l(y) = -25713*y - 25711. What is l(-1)? 2 Let i(j) = 33*j**2 - 2064*j - 8760. Calculate i(-4). 24 Let d(i) = -i**2 - 31631*i - 505836. Determine d(-16). 4 Let q(k) = -3*k**2 - 14*k - 33. Determine q(-3). -18 Let m(o) = -8876020*o - 79884180. Calculate m(-9). 0 Let k(b) = -57496*b - 517491. Calculate k(-9). -27 Let n(z) = 7*z**2 + 813*z + 21603. Calculate n(-75). 3 Let p(n) = 63*n**2 + 3663*n + 86. Determine p(-58). -436 Let k(y) = -y**3 + 9*y**2 - 358*y + 2106. Determine k(6). 66 Let o(s) = -s**3 + 8*s**2 + 528*s - 7533. Give o(15). -1188 Let o(d) = -115*d - 9366. What is o(-85)? 409 Let p(u) = u**2 - 24*u - 421. What is p(44)? 459 Let m(u) = -u**3 + 17*u**2 + 145*u + 279. Determine m(20). 1979 Let c(j) = -j**3 - 158*j**2 + 478*j + 26. What is c(3)? 11 Let f(v) = 3*v**2 - 75397*v - 452342. What is f(-6)? 148 Let u(v) = 6*v**3 - 43*v**2 + 4192*v - 24931. What is u(6)? -31 Let a(o) = -244*o**3 + 2418*o**2 - 5*o. Determine a(10). -2250 Let u(p) = 3331*p - 7372. What is u(2)? -710 Let b(c) = -c**2 + 726*c - 27448. What is b(40)? -8 Let u(n) = -8*n**3 - 227*n**2 + 9077*n + 259026. What is u(-29)? -2 Let t(g) = -183059*g - 2196709. Determine t(-12). -1 Let t(x) = 389*x**2 - 2048*x + 125. Determine t(6). 1841 Let b(u) = u**3 + 74*u**2 - 126*u + 1994. What is b(-76)? 18 Let g(r) = 18*r**3 - 18*r**2 + 67*r - 49. Give g(1). 18 Let o(h) = -3*h**3 - 194*h**2 + 274*h + 549. Give o(-66). -111 Let y(h) = h**3 + 34*h**2 + 115*h + 1358. What is y(-32)? -274 Let b(m) = -992*m - 5372. Calculate b(-6). 580 Let y(g) = -43*g**2 - 1306*g - 3929. Give y(-3). -398 Let k(r) = -4*r**2 - 95*r - 266. Determine k(-18). 148 Let n(p) = 6*p**3 + 3*p**2 + 74*p - 147. What is n(2)? 61 Let u(f) = -f**3 + 54*f**2 + 861*f + 126. Calculate u(67). -544 Let z(p) = -p**2 - 358*p - 9972. Calculate z(-31). 165 Let y(m) = 17*m**2 - 297*m - 1479. What is y(-4)? -19 Let v(o) = -o**3 + 181*o**2 - 1965*o - 62293. Calculate v(167). -2 Let b(w) = 53*w**2 + 10678*w + 21152. Calculate b(-2). 8 Let c(y) = 60*y - 40. What is c(-18)? -1120 Let c(x) = -17859*x - 53611. Calculate c(-3). -34 Let i(r) = -22*r**2 - 5*r - 68. What is i(5)? -643 Let t(b) = 6*b**3 - 4*b**2 + 11*b - 107. What is t(7)? 1832 Let b(y) = -246*y + 13205. Give b(52). 413 Let y(m) = m**2 + 725*m - 15635. Calculate y(21). 31 Let j(c) = 5262*c - 84142. Determine j(16). 50 Let d(b) = -5357*b + 626603. Give d(117). -166 Let m(z) = z**3 + 44*z**2 + 169*z + 5498. Calculate m(-43). 80 Let d(i) = 57*i**2 - 4383*i - 481. What is d(77)? -19 Let u(q) = -11732*q - 434085. Determine u(-37). -1 Let u(d) = d**2 + 36106*d + 901724. Determine u(-25). -301 Let h(d) = 211*d - 227717. Determine h(1079). -48 Let f(u) = -1167*u - 771420. Calculate f(-661). -33 Let n(c) = 495776*c - 1487332. Calculate n(3). -4 Let v(f) = f**3 + 49*f**2 + 233*f - 299. Give v(-44). -871 Let a(q) = 664*q - 20075. Calculate a(30). -155 Let p(t) = 63*t**2 + 232*t - 12. Determine p(-4). 68 Let m(r) = r**3 + 116*r**2 - 201*r + 18848. Determine m(-119). 284 Let o(v) = -57*v - 6162. Determine o(-100). -462 Let m(o) = 933*o + 32414. Give m(-35). -241 Let j(q) = -76*q**3 + q**2 + 130*q - 259. Calculate j(2). -603 Let w(x) = -118139*x + 1063270. Give w(9). 19 Let s(v) = -16*v**2 - 45*v - 911. Determine s(-12). -2675 Let o(m) = 14*m**2 + 539*m - 7180. Determine o(-50). 870 Let k(p) = -50*p**2 + 86*p - 146. What is k(5)? -966 Let u(b) = 117*b + 14225. What is u(-126)? -517 Let b(g) = -g**3 - 61*g**2 + 1627*g - 147. What is b(20)? -7 Let i(m) = -601*m + 72259. Determine i(118). 1341 Let q(b) = -3*b**3 + 2*b**2 + 18*b + 52. Give q(11). -3501 Let y(d) = d**3 + 71*d**2 - 57*d - 13448. Give y(-69). 7 Let i(s) = 10*s**2 - 48*s - 360. What is i(-10)? 1120 Let a(n) = 4925*n - 4151771. What is a(843)? 4 Let c(b) = 109*b**3 + 1417*b**2 + 494*b + 6428. Give c(-13). 6 Let w(q) = 15*q**2 - 10609*q - 53126. Give w(-5). 294 Let c(n) = -632*n + 107430. What is c(170)? -10 Let l(o) = -o**2 - 1013*o - 197705. What is l(-264)? 31 Let b(o) = -o**2 + 576*o - 5784. Calculate b(11). 431 Let c(z) = -308*z**2 + 51519*z + 51520. Calculate c(-1). -307 Let n(o) = 771749*o + 771741. Determine n(-1). -8 Let a(c) = -14*c + 2529. What is a(174)? 93 Let v(u) = -24*u**2 - 453*u - 1853. What is v(-6)? 1 Let c(h) = 162*h - 12888. Give c(79). -90 Let r(h) = 282*h - 7107. Calculate r(30). 1353 Let u(i) = -3*i**2 - 292*i + 5018. Calculate u(-112). 90 Let v(t) = 62475*t - 62492. Calculate v(1). -17 Let g(i) = -i**2 + 1121*i - 280028. Give g(376). 92 Let f(l) = 10*l**2 + 481*l - 4915. Calculate f(11). 1586 Let f(t) = 12477*t - 74914. What is f(6)? -52 Let q(a) = 3*a**2 + 86*a - 922. Calculate q(-38). 142 Let v(q) = -5504*q + 33034. Determine v(6). 10 Let j(r) = -1056*r - 50718. Give j(-48). -30 Let l(u) = -4*u**3 + 63*u**2 + 145*u - 1009. What is l(17)? 11 Let r(x) = 195*x**3 + 184*x**2 + 16*x + 3. Determine r(-1). -24 Let z(f) = 100437*f + 401745. Calculate z(-4). -3 Let g(y) = -y**3 + 22*y**2 + 527*y - 11314. Determine g(22). 280 Let w(n) = 4*n**2 - 6703*n - 53704. Give w(-8). 176 Let p(f) = 5843*f - 244106. Determine p(42). 1300 Let q(r) = -2152*r + 4310. What is q(2)? 6 Let s(v) = 254*v - 1077. Give s(11). 1717 Let w(x) = 51*x**2 + 41*x - 101. Calculate w(1). -9 Let r(a) = -2*a**3 + 43*a**2 + 998*a + 54. What is r(-14)? -2 Let o(i) = 2878*i - 31837. Determine o(13). 5577 Let t(q) = -5328*q - 47411. Calculate t(-9). 541 Let k(s) = 6*s**3 - s**2 - 7*s + 80. Give k(6). 1298 Let j(h) = 209265*h - 3138985. Determine j(15). -10 Let h(o) = -o**3 + 76*o**2 + 474*o - 46089. Calculate h(74). -61 Let x(u) = -260*u + 383. Give x(5). -917 Let k(t) = -6*t**2 - 354*t + 4131. Determine k(10). -9 Let z(r) = 65*r**2 - 1059*r + 1346. Give z(15). 86 Let u(n) = 9975*n + 169569. What is u(-17)? -6 Let n(h) = -h**3 - 36*h**2 - 141*h + 69. Calculate n(-32). 485 Let b(k) = 3*k**3 - 11*k**2 + 2353*k - 11799. Determine b(5). 66 Let h(y) = -6*y**2 - 408*y - 1449. What is h(-64)? 87 Let d(j) = -j**2 - 3066*j + 15326. What is d(5)? -29 Let j(m) = 9*m**2 - 627*m + 3652. Calculate j(6). 214 Let s(f) = 116*f - 6471. What is s(52)? -439 Let s(a) = -63*a**2 + 10*a + 21. What is s(-1)? -52 Let u(h) = 9*h**2 + 1621*h + 11176. Determine u(-7). 270 Let j(k) = -748*k - 44048. What is j(-59)? 84 Let q(x) = 106*x + 64541. Give q(-609). -13 Let h(g) = -2*g**2 - 452897*g - 1358702. Calculate h(-3). -29 Let l(n) = 79*n - 2458. Give l(16). -1194 Let s(u) = -13847*u + 1218542. What is s(88)? 6 Let v(u) = u**3 - 7*u**2 - 23*u + 160. Calculate v(8). 40 Let w(c) = -25*c**3 + 12*c**2 + 2*c - 90. Calculate w(-3). 687 Let r(w) = -2*w**3 + 904*w**2 + 1810*w + 2707. Calculate r(454). -17 Let y(n) = -n**3 - 38*n**2 + 126*n - 90. What is y(-42)? 1674 Let x(w) = -652*w + 195095. What is x(299)? 147 Let z(d) = 26*d**2 + 321*d + 1029. Give z(-4). 161 Let g(s) = -19504*s - 1970025. Determine g(-101). -121 Let q(c) = c**3 - 124*c**2 - 205*c - 23539. Determine q(127). -1187 Let g(a) = -a**3 - 13*a**2 + 37*a + 607. Determine g(-12). 19 Let v(q) = -68423*q - 10947667. Give v(-160). 13 Let y(f) = 19*f + 1310. Calculate y(-34). 664 Let f(i) = i**2 - 931*i + 10116. Give f(11). -4 Let q(s) = 1509*s + 42403. Calculate q(-28). 151 Let o(b) = 3110*b - 27954. Determine o(9). 36 Let n(p) = p**3 - 25*p**2 + 80*p - 1357. Give n(24). -13 Let a(g) = 29664*g + 177792. Calculate a(-6). -192 Let s(u) = 14*u**3 + 35*u**2 + 11*u - 46. Calculate s(1). 14 Let r(m) = 3138*m - 106622. Give r(34). 70 Let x(c) = 3*c**3 - 593*c**2 - 360*c + 32046. What is x(198)? -30 Let n(r) = r**3 + 92*r**2 + 716*r - 11194. What is n(-18)? -106 Let h(n) = 59*n**2 + 973*n - 975. Calculate h(1). 57 Let b(t) = 3*t**2 - 23*t - 1890. What is b(-24)? 390 Let r(u)
{ "pile_set_name": "DM Mathematics" }
terms in 72177187*r**3 + r**2 - 144354379*r**3 + 72177189*r**3 - r**2. -3*r**3 Collect the terms in 488731*f**3 - 977464*f**3 + 488710*f**3. -23*f**3 Collect the terms in 8539*j**3 - 16*j - 30629*j**3 + 16*j. -22090*j**3 Collect the terms in 1657*j**2 + 1675*j**2 + 1658*j**2 + 1669*j**2 - 6642*j**2. 17*j**2 Collect the terms in 6742 - 6742 + 171*k - 173*k. -2*k Collect the terms in 16949*d**2 - 16949*d**2 + 2*d**3. 2*d**3 Collect the terms in b**2 - 124 - 2*b**2 - 170. -b**2 - 294 Collect the terms in -37*c**2 - c**3 - 59*c + 59*c - 5*c**3 - 2*c**3. -8*c**3 - 37*c**2 Collect the terms in 321 + 6*n**2 - 108 - 106 - 107 - 5*n**2. n**2 Collect the terms in 131*y**2 - 25*y**3 - 75*y**3 - 134*y**2. -100*y**3 - 3*y**2 Collect the terms in -829 - 833 + 24*w**2 + 1662 + 7*w**2. 31*w**2 Collect the terms in -11 + 27 - 6 + 89*i**2 - 10 - 7. 89*i**2 - 7 Collect the terms in 1 + 953*f**3 - 318*f**3 + 3*f**2 - 324*f**3 - 316*f**3 - 1. -5*f**3 + 3*f**2 Collect the terms in -16 + v - 55 + 17 + 3*v. 4*v - 54 Collect the terms in 39*u - 15*u - 24*u - 1123*u**2. -1123*u**2 Collect the terms in -2 + 9*a**3 - 4 + 16*a**3 - 12*a**3 + 5. 13*a**3 - 1 Collect the terms in -21*a**2 + 12*a**2 + 5*a**3 + 6*a + 4*a**2 + 5*a**2. 5*a**3 + 6*a Collect the terms in -13*y + 22*y - 11*y - 32*y. -34*y Collect the terms in 5963*u + 5973*u - 11935*u. u Collect the terms in -517*n**2 + 180*n**2 - 3*n + 153*n**2 + 3*n + 151*n**2. -33*n**2 Collect the terms in -17362*z**2 + 8658*z**2 + 7 + 8672*z**2 - 7. -32*z**2 Collect the terms in -33 + 33 + 5*c + 256*c**2. 256*c**2 + 5*c Collect the terms in 53 - 56156*k**3 + 56154*k**3 - 90 + 37. -2*k**3 Collect the terms in 2*j - 6*j - 7*j**2 + 4*j + 0*j + 34*j**3. 34*j**3 - 7*j**2 Collect the terms in 4*h**2 - 38*h**2 - 57*h**2. -91*h**2 Collect the terms in -182*k**2 + 460*k**2 - 203*k**2 - k. 75*k**2 - k Collect the terms in 11*n**2 - 13 - 123*n**2 + 13. -112*n**2 Collect the terms in 5 - 10*g - 3*g**2 - 6*g - 3*g - 3*g. -3*g**2 - 22*g + 5 Collect the terms in -1100*h + 547*h + 4 + 543*h. -10*h + 4 Collect the terms in -33*m**2 - 18*m**2 + 66*m**2 - 16*m**2. -m**2 Collect the terms in 49878*j - 49878*j + j**2. j**2 Collect the terms in 2*g - 16*g - 40*g + 11*g - 58*g. -101*g Collect the terms in -132*o + 676 - 674 + 1865*o. 1733*o + 2 Collect the terms in 44 + 2*q**2 - 17 - 27 + 29*q**2. 31*q**2 Collect the terms in 6*z**2 + z**2 - 6*z**2 - 11*z**2 - 14*z**2. -24*z**2 Collect the terms in 15*q + 76*q + 9*q + 31*q. 131*q Collect the terms in -79*h**2 - 35996*h - 30*h**2 + 9*h**2 + 35996*h. -100*h**2 Collect the terms in -41*i - 42*i - 43*i + 147*i. 21*i Collect the terms in -10*l**2 - 549131 + 1098265 - 549134. -10*l**2 Collect the terms in -30*y + 185*y + 18*y - 7*y. 166*y Collect the terms in -2*c - 7472 + 7472 - 3*c. -5*c Collect the terms in 34 - 16 - 13 - 12 - 5 + 2*n. 2*n - 12 Collect the terms in -83*k + 66*k - 31 + 18*k - 11. k - 42 Collect the terms in 8*i + 14*i + 4*i + 6*i - 29*i. 3*i Collect the terms in 2*c + 376 - c - 449 - 3773. c - 3846 Collect the terms in 147*g**2 - 11*g**2 - 152*g**2. -16*g**2 Collect the terms in -103983 + 207963 - 103980 + 7*d**3. 7*d**3 Collect the terms in 65*l - 80 - 71*l + 4. -6*l - 76 Collect the terms in -8*t**2 - 4 - 29*t**2 + 38*t**2 + 4. t**2 Collect the terms in -33 - 5*m + 111 - 84. -5*m - 6 Collect the terms in -85 + 968*f - 968*f + 2*f**2. 2*f**2 - 85 Collect the terms in 2*y**2 + 861 + 9*y - 849 - y. 2*y**2 + 8*y + 12 Collect the terms in 2*g**3 + 1333*g**2 - 18*g**3 - 2674*g**2 - g + 1341*g**2. -16*g**3 - g Collect the terms in -2*k**2 - 2*k**2 + 938*k + 0*k**2 + 5*k**2. k**2 + 938*k Collect the terms in -203*y + 138*y**2 - 137*y**2 + 60*y. y**2 - 143*y Collect the terms in 7*o**2 - o**2 + 2 + 6*o**2 + 4*o**2. 16*o**2 + 2 Collect the terms in 48007188 + 172*f**3 - 48007188. 172*f**3 Collect the terms in -x**3 + 2*x**3 - 11442 + 11111. x**3 - 331 Collect the terms in l**3 + 8691*l**2 - 4338*l**2 - 4353*l**2. l**3 Collect the terms in 10*s + 3332 - 7*s - 3332. 3*s Collect the terms in 723*f**3 + 720*f**3 - 2154*f**3 + 713*f**3. 2*f**3 Collect the terms in 2 - 31*k**2 - 6*k**2 - 45*k - 10*k**2 - 2*k**3. -2*k**3 - 47*k**2 - 45*k + 2 Collect the terms in -2 - 7*a**2 - 28*a**3 + 6*a**2 + a - a. -28*a**3 - a**2 - 2 Collect the terms in 251385*w**2 - 125698*w**2 - 125689*w**2. -2*w**2 Collect the terms in -2*y - 11 - 19 + 25 - 131. -2*y - 136 Collect the terms in 3*s**3 - 3625657328*s + 3625657328*s. 3*s**3 Collect the terms in -18*k - 18*k + 76*k - 21*k. 19*k Collect the terms in -z + 5*z - 7 + 1 - 8 + 5. 4*z - 9 Collect the terms in 4*g**3 - 2 - g**3 - 8*g + g + 2. 3*g**3 - 7*g Collect the terms in -2733*u**3 + 1340*u**3 + 1369*u**3. -24*u**3 Collect the terms in 852*r**2 - 124 + 124. 852*r**2 Collect the terms in -526680*a + 1 + 263339*a - 1 + 263335*a. -6*a Collect the terms in 614222*s**2 - 1228448*s**2 + 614222*s**2. -4*s**2 Collect the terms in -36*y**3 + 346*y**2 - 680*y**2 + 337*y**2 + 6 - 6. -36*y**3 + 3*y**2 Collect the terms in 2*d**3 + d**3 + 6*d**3 - 3*d + 13*d**3 - 2*d**3. 20*d**3 - 3*d Collect the terms in 16*h**2 - 3*h**3 + 374 - 16*h**2 + 53. -3*h**3 + 427 Collect the terms in 5*n**2 + 1798 - 1156 - 642. 5*n**2 Collect the terms in -174*l**2 + 442*l**3 + 174*l**2. 442*l**3 Collect the terms in -11*b + 0 + 15*b + 20*b - 1. 24*b - 1 Collect the terms in -1112*c - 11*c**3 + c**3 + 1103*c. -10*c**3 - 9*c Collect the terms in 234*p**3 - 47*p**3 + 26*p**3 + 3*p**2. 213*p**3 + 3*p**2 Collect the terms in -13581*d**3 + 35942*d**3 - 22362*d**3. -d**3 Collect the terms in -3 + 3 - 92730*z**2 + 92730*z**2 + 2*z**3. 2*z**3 Collect the terms in 0*x**2 + 9*x + 4*x**2 - 34*x + x**2 + 2*x**2. 7*x**2 - 25*x Collect the terms in 21 - 22*g + 435 + 11*g + 9*g. -2*g + 456 Collect the terms in 14725*c**2 - 14721*c**2 - 2 + 2. 4*c**2 Collect the terms in -113124*l**2 + 226240*l**2 - 113111*l**2. 5*l**2 Collect the terms in 2*z**3 - 2*z**3 - 38*z**2 - 25*z**3. -25*z**3 - 38*z**2 Collect the terms in -6*t - 7*t - t + 3*t - 2*t. -13*t Collect the terms in -68*b**3 - 3*b + 3*b + 58*b**2 - 81*b**2 + 69*b**3. b**3 - 23*b**2 Collect the terms in 4*h + 17810 - 17810. 4*h Collect the terms in 10*i + 95783 - 95783. 10*i Collect the terms in 2 - 6 + 4 + 2*d**2 + 107*d. 2*d**2 + 107*d Collect the terms in -9726*x**2 + 9726*x**2 - 14*x**3. -14*x**3 Collect the terms in -16*w + 10*w - 7*w - 15*w + w. -27*w Collect the terms in -2163*p**2 + 4243*p**2 - 2036*p**2. 44*p**2 Collect the terms in 1454*p**3 - 644*p**3 - 885*p**3. -75*p**3 Collect the terms in 1497*p**3 - 45*p**3 - 1456*p**3. -4*p**3 Collect the terms in -13051 + 10*w + 13051. 10*w Collect the terms in -49512*w + 21259*w - 16878*w. -45131*w Collect the terms in 74517*q**2 - 74517*q**2 + 6*q**3. 6*q**3 Collect the terms in -4796*d - 807 + 807. -4796*d Collect the terms in 237*a - 99*a - 73*a - 94*a. -29*a Collect the terms in 400*h**2 + 403*h**2 - 1194*h**2 + 402*h**2. 11*h**2 Collect the terms in -6*c**2 + 324*c**3 - c**2 + 7*c**2 + 295*c**3 - 615*c**3. 4*c**3 Collect the terms in -17*o - 17*o + 84*o + 217*o. 267*o Collect the terms in 18*b + 12*b + 19*b - 63*b + 4*b + 14*b. 4*b Collect the terms in -8 - 16 + 38 - 27 - r**2. -r**2 - 13 Collect the terms in -301*v + 139*v + 140*v. -22*v Collect the terms in 2601439 + 4*q - 2601439. 4*q Collect the terms in -327 - k**3 + 350 - k**3. -2*k**3 + 23 Collect the terms in 2*l + 4 - 3 + 159*l - 4*l. 157*l + 1 Collect the terms in 420*a**2 + 289*a**2 - 52*a**2. 657*a**2 Collect the terms in 1040 - 1040 - 3379268*d + 3379266*d. -2*d Collect the terms in -w - 8*w + 7*w - 5*w + 55*w. 48*w Collect the terms in 42*t + 63*t + 60*t + 62*t - 254*t + 31*t. 4*t Collect the terms in -2900*g - 12*g**2 - 5*g**2 + 2900*g + 4*g**2. -13*g**2 Collect the terms in -69*z - 90*z - 15*z**2 + 2*z**2 + 159*z. -13*z**2 Collect the terms in 6*x - 15614138*x**3 + 15614136*x**3 - 6*x. -2*x**3 Collect the terms in 346*l + 345*l + 347*l - 1039*l. -l Collect the terms in -8*r - 81*r - 16*r - 8*r. -113*r Collect the terms in 734*i**2 - 1474*i**2 + 729*i**2. -11*i**2 Collect the terms in -5 + 0 + 353*a**2 + 6 + 119*a**2 + 48*a**2. 520*a**2 + 1 Collect the terms in 20*g**2 - 798*g - 8*g**2 + 12*g**2. 24*g**2 - 798*g Collect the terms in 0 - 1
{ "pile_set_name": "DM Mathematics" }
9. Is 9 a factor of x? True Let z(o) = o**3 - 5*o**2 + 4*o - 4. Is z(5) a multiple of 6? False Let w = 1 - -2. Suppose 0 = -w*q + 4*s + 23, -q + s - 3 = -2*q. Suppose q*o = -5*z + 15, -38 = -5*o + 4*z + 13. Is 7 a factor of o? True Suppose -2*q + f = -f - 64, 0 = -5*f. Does 30 divide q? False Let h(r) = -19*r - 1. Let t(s) = -9*s. Let f(w) = -2*h(w) + 5*t(w). Is f(-4) a multiple of 17? False Suppose 3*g - 2*i = -0*g + 343, 3*i = 5*g - 573. Suppose g - 5 = 4*m. Is m a multiple of 7? True Does 10 divide (-2 - 46/(-1))/((-5)/(-10))? False Let d be (4/(-4))/(1/6). Is 4 a factor of -2*d/((-3)/(-1))? True Suppose 2*q - 7*q = -145. Let x = q - 2. Does 7 divide x? False Suppose -58 = -2*l + l. Is 35 a factor of l? False Suppose -2*t + t - 373 = -3*d, -2*d + 5*t + 266 = 0. Suppose -d = -2*y + 181. Suppose 3*q - 5*w - 98 = 0, -3*w + y = 8*q - 3*q. Does 12 divide q? False Let i = -50 - -109. Is 17 a factor of i? False Let o(f) = -f - 2. Let z be o(-4). Suppose 0 = z*y + y - 6. Suppose y*l = -0*l + 22. Is l a multiple of 11? True Let n be 0/(-1) - (1 + -6). Suppose -3*g + 0*g - n*c = 16, -4*c - 8 = 0. Let i(o) = -9*o**3 + o**2 + 2*o + 3. Is i(g) a multiple of 26? False Suppose -4*a - 42 = 3*g, 0*a - 2*a - g = 20. Let b = -11 + a. Let f = b + 28. Does 7 divide f? False Let c = 42 + 54. Is 17 a factor of c? False Let t = -4 - -8. Suppose -14 = -4*y + 2*y + 2*m, 0 = 5*m + 25. Suppose 36 = y*h - 0*h - 3*b, -4*b = -t*h + 64. Does 12 divide h? True Suppose 5*k + 101 = 2*g, 3*g = 2*k + 163 - 28. Suppose -2*p - 3*z + g = 0, p + 2*p - 3*z = 27. Is 7 a factor of p? True Let p = -6 - -1. Let z = 0 - p. Is 5 a factor of z? True Suppose -4*m - 5*g + 307 = 0, 2*m + 2*g - 115 = 41. Does 13 divide m? False Suppose -3*f + s - 259 = -4*f, -1 = -s. Does 8 divide f? False Let o = 216 + -72. Is o a multiple of 16? True Let q = 7 - -3. Suppose -3*i = 2*i + q, 4*z = -2*i + 92. Is 12 a factor of z? True Suppose -k + 99 = -0*j - 3*j, -3*k - 3*j + 249 = 0. Is 29 a factor of k? True Let p be 0 - -2*(-3)/(-6). Is 12 a factor of ((-10)/6)/(p/(-18))? False Suppose -30*o + 33*o - 36 = 0. Is o a multiple of 2? True Let a be -1 + 19 - (-12)/6. Let y = a + 0. Is y a multiple of 15? False Suppose 6*i - 4*i - 8 = 0. Let s(x) = -x**3 + 9*x**2 - 3*x - 3. Let a(m) = m**2 - m. Let w(l) = -5*a(l) + s(l). Is 2 a factor of w(i)? False Let g(w) = 4*w**2 + 15*w + 16. Is 16 a factor of g(-5)? False Let g be 3 + 2 - (1 - -1). Let k be ((-4)/g)/(5/(-15)). Suppose 0*i = k*r - 2*i - 44, r = -i + 8. Does 10 divide r? True Suppose 0 = 4*f + 12, 2*j - 42 = -2*j - 2*f. Let z = j + -19. Let a(b) = -b**3 - 7*b**2 - 3*b - 6. Is 9 a factor of a(z)? False Let z = 5 + 91. Is 16 a factor of z? True Let v(d) = -d**2 - 12*d - 7. Is 28 a factor of v(-7)? True Suppose -5 = -x + b, -5*x - b + 25 = -x. Let n = x - 2. Suppose n*j = j + 54. Is 15 a factor of j? False Let z(o) = 3*o**2 + 4*o + 4. Let x(p) = -1. Let j(q) = -q + 6. Let n(m) = j(m) + 6*x(m). Let u be n(4). Does 13 divide z(u)? False Suppose 6 = 4*i - 2. Is i a multiple of 2? True Let t be (-2 - 2)/((-4)/186). Suppose 2*j = 5*j - t. Suppose 4*l + j = 206. Is 20 a factor of l? False Suppose 316 = 2*u + 2*u. Is u a multiple of 30? False Let g = -15 - -87. Is g a multiple of 9? True Let i(g) be the first derivative of 1 + 35/2*g**2 - g. Is 20 a factor of i(1)? False Let b = 233 - 165. Does 17 divide b? True Let w(r) = r**3 + 5*r**2 - 2*r + 3. Suppose -2*x = 9 + 1. Let b be w(x). Let v = 32 - b. Is 11 a factor of v? False Let c = -2 - -5. Suppose 0*d = -c*d + 153. Is 17 a factor of d? True Suppose -658 = 2*s - 9*s. Does 12 divide s? False Let v(h) = -8*h - 12. Is 12 a factor of v(-6)? True Suppose 1 = 3*c - 2*d - 20, 3*d - 28 = -4*c. Does 7 divide c? True Suppose -3*w + 1 = -l, -5*w + 2*l = -0*w. Let p be ((-570)/20)/((-3)/4). Suppose u - 1 + p = w*o, -3*o = 2*u - 45. Does 17 divide o? True Let l = 10 + -4. Let v = l - -7. Is v a multiple of 12? False Let a(q) = -q**3 + 5*q**2 - 4*q + 6. Let d be a(4). Does 8 divide ((-2)/d)/((-1)/30)? False Let y(t) = -t**3 - 3*t**2 + 3*t - 3. Let i be y(-4). Suppose 6 - i = n. Is n even? False Let x = -38 + 53. Is 15 a factor of x? True Does 29 divide 9/6*116/6? True Let n be -1 - 1/(2/(-290)). Suppose 0*y = -4*y + n. Is y a multiple of 14? False Let v(c) be the first derivative of 2*c**2 - c + 2. Let g be v(-2). Let f = -4 - g. Is f a multiple of 5? True Suppose -4*j = -2*d - 12, 4*d + 2 = j - 1. Let l = 17 - 15. Suppose -5*g + 111 = -j*v - 69, 0 = l*v. Is 17 a factor of g? False Let v(d) = -d**2 + 10*d - 1. Let j be v(8). Suppose -4*n + j + 5 = 0. Suppose 65 = 3*f + n*p, 0*f - f + p = -27. Does 18 divide f? False Suppose m - 4 = 1. Suppose -u - m*o + 20 = 4*u, -3*u - 5*o = -12. Is u a multiple of 3? False Let o(p) = -p**3 + 6*p**2 + 3*p - 3. Let x be o(6). Suppose -2*k = k - x. Is 3 a factor of k? False Is 36/(-12) - 51/(-1) a multiple of 6? True Let j = 41 + 28. Does 11 divide j? False Is (-24)/(-2 - 15/(-12)) a multiple of 6? False Suppose n + 3*m - 4 - 11 = 0, -10 = 3*n - 2*m. Suppose 0 = 3*u - n*u - 114. Suppose -3*b + u = -49. Is b a multiple of 17? False Let c(a) = a**2 + 6*a - 2. Let t be c(-7). Suppose 5*h = t*i - 2*i + 35, 3*h - 2 = -2*i. Does 4 divide h? True Let m be 1/1 - 15/1. Is m/(-4) - 2/(-4) even? True Let y(t) = -22*t + 4. Let g be y(-3). Let a = -43 + g. Let l = -18 + a. Is 3 a factor of l? True Let a = -12 - -46. Let r = a - -8. Is r a multiple of 17? False Let m(l) = -14*l - 6. Let v(s) = 28*s + 13. Suppose z + 3*x = 12, 0*x + 10 = 3*z - 4*x. Let a(f) = z*v(f) + 13*m(f). Does 14 divide a(-1)? True Let y(u) = 132*u**3 + u**2 - 2*u + 1. Does 31 divide y(1)? False Let t = 328 - 196. Does 33 divide t? True Let x(f) = f**2 + 6*f - 1. Suppose 0 = 3*g + 2*g + 5*t, -t - 8 = -g. Is x(g) a multiple of 13? True Is 15 a factor of (-1 - 2) + 24*2? True Let i(s) = s**2 - s - 3. Let r be i(3). Suppose 0 = -5*j + r*x + 76, x + 25 = 4*j - 33. Is j a multiple of 14? True Let u = -12 + 24. Suppose -u = 6*m - 2*m. Is 2/(m/((-27)/6)) a multiple of 2? False Let q = 10 + -8. Suppose -2*r + 16 = -q*t, 9 = r + t - 7. Does 12 divide r? True Is 18 a factor of (2 - (-1566)/30) + (-2)/10? True Let g(f) = 3*f**2 + 5*f - 4. Is g(-4) a multiple of 12? True Suppose 3*c - 155 = -2*i, -5*i + 3*c = -c - 330. Suppose i = x - 0*x. Suppose -4*r - x = -6*r. Is r a multiple of 23? False Let f(u) = -u. Let m(b) = 16*b - 2. Let i(t) = -6*f(t) - m(t). Is 18 a factor of i(-4)? False Let w(o) = -35*o + 4. Does 13 divide w(-1)? True Suppose 6 = i + 1. Suppose -d + 1 = -2*g - g, i*g + 13 = -4*d. Let u = d + 36. Is 17 a factor of u? True Let h(i) = -i**2 + 4*i + 3. Let s be h(-3). Let g = 6 + -11. Let y = g - s. Is 6 a factor of y? False Suppose 132 = 3*b + 42. Let f be ((-6)/9)/((-4)/b). Suppose -f*i + 20 = -i. Does 3 divide i? False Let h = -16 + 23. Is 11 a factor of (h + -2)*(-308)/(-35)? True Let s = -13 + 27. Is s a multiple of 13? False Suppose -2*o = 3*o + 15. Is ((-324)/(-63))/(o/(-14)) a multiple of 10? False Let x(q) = -q**2 + 8*q + 40. Does 7 divide x(8)? False Suppose -k + 3*k = 48. Let d = k - -46. Suppose -5*j + d = 2*t, -t = 4*j - 19 - 37. Does 7 divide j? True Let c be 15/3 + 3 + -6. Suppose 2*y - 1 = 3. Suppose y*a = -c, 4 = 4*u - 3*a - 35. Is 9 a factor of u? True Let x(b) = b**2 + 6*b - 6. Does 33 divide x(9)? False Suppose -60 - 1 = b. Let t = 146 + b. Suppose -2*q - 3*q + t = 5*k, q = 0. Is k a multiple of 15? False Let m(z) = 9*z - 6. Suppose -8*q = -4*h - 4*q, q + 20 = 5*h. Is 13 a factor of m(h)? True Let t be 8*(-4 + (5 - 2)). Let i(f) = -f**2 - 8*f + 5. Let g be i(t). Suppose 0 = 3*m - 0*m - 9, -g*j + 81 = 2*m. Does 6 divide j? False Suppose 16 = i - 26. Is 7 a factor of i? True Suppose -4*z - 513 = -1333. Does 41 divide z? True Suppose 0*w + 2*w = 6. Suppose -w*a = a - 48. Suppose -4*l - a = -44. Is l a multiple of 5? False Suppose -4*k + 4 = -2*k, 96 = 2*q - 4*k. Does 10 divide q? False Suppose 3*x = -5*q + 129, 15 = x + 3*q - 32. Is 17 a factor of x? False Let f = -3 - -5. Let x be (1 + -7)*(f - 3). Does 2 divide (1/(2/x))/1? False Let b(f) = f**2 - 2*f - 3. Let k be b(4). Suppose -i - y = -5*i + 105, -k*i + 4*y = -134. Does 13 divide i? True Suppose 3*t - 174 = 3*q, 0 = -4*t + 2*q - 3*q + 207. Suppose o - 2*o = -t. Does
{ "pile_set_name": "DM Mathematics" }
d - 5*w, 2*w + 19 = 4*d - 33 for d. 13 Solve -5*a + 2*s = 61 - 110, -42*a + 42*a - s - 2 = 0 for a. 9 Solve t = 9*x + 24, 9*t - 20 = -5*x + 4*t for x. -2 Solve 0 = 169*y - 165*y - 20*f + 108, -6*f = 3*y - 45 for y. 3 Solve -22 = -2*m + 4*l, -7*l + 343 = -4*m + 384 for m. 5 Solve -4*g + 4*a - 4 = 0, 12194*g - 12198*g - 2*a = -20 for g. 3 Solve -17*c = -2*f + f - 16*c - 2, 5*c = -0*c for f. -2 Solve 3*p + 33*m - 38*m + 48 = 0, p - 7 = -6*m for p. -11 Solve -2*p + 50 = 3*d, 0 = -43*d + 38*d - p + 74 for d. 14 Solve -6*g = 9*m - 7*g + 9, 3*g = -m - 1 for m. -1 Solve -288*m - 2*o = -285*m - 13, 5*o + 30 = 5*m for m. 5 Solve 3*w - 30 = 4*o - 37, 4*o - 4 = 4*w for o. 4 Solve -1 = -y + 18*t - 14*t, 0 = -4*y - 3*t - 15 for y. -3 Solve -3*y = 4*u + 41, 5*u = -29*y + 30*y - 18 for u. -5 Solve -2*u - v - 2 = 0, 3*u - 250*v = -122*v + 256 for u. 0 Solve -5643*y + 5646*y = 9, 5*d = -y + 43 for d. 8 Solve -3*a + 41 = -2*j + 52, 5*j + 3*a + 4 = 0 for j. 1 Solve -3*y = -5*p - 73, -4*p = 4*y - 88 + 12 for p. -2 Solve 4*o - 5*j + 36 = 0, -4*o + 4*j + 1022 - 1054 = 0 for o. -4 Solve -5*o = -2*b - 21, -17*b + 22*b + 2*o = 20 for b. 2 Solve 0 = -5*d + 20, -7*b - 26*d = -23*d + 16 for b. -4 Solve 5*a - h = 26, -18*h + 21*h = 26*a - 133 for a. 5 Solve 18 = -3*q, -5*q - 502 + 487 = -5*l for l. -3 Solve 5*t + 6 = -q, -10*q - 4*t - 6 = -8*q for q. -1 Solve -3*y + 3 = 3*a, 539*a - 534*a - 5 = 2*y + 28 for a. 5 Solve 2*o - 5*k + 59 - 33 = 0, -4*o = -3*k + 38 for o. -8 Solve 682*w - 2*p = 675*w - 15, w + 15 = -4*p for w. -3 Solve 4*c = -2*l - 14, 7*l = 3*c + 3*c - 29 for c. -1 Solve -4 = -r, -r = 1558*z - 1563*z - 104 for z. -20 Solve 146*a + 15 = 150*a + 3*x, -5*x + 25 = a for a. 0 Solve 0 = 5*f + 50, 52*j + 3*f + 15 = 49*j for j. 5 Solve 4*a = 58*k - 54*k - 24, 3*k = 8 + 13 for a. 1 Solve 4*i = 2*v - 12, 3*i + 2*i + 7*v = 23 for i. -1 Solve 62 = -483*q + 481*q, -2*h = q - 0*q + 25 for h. 3 Solve -70 = -20*v + 11*v - 5*m, -5*v + 5*m = 0 for v. 5 Solve -r + 6*x = -10, 25233*r - 25235*r - 5*x = 14 for r. -2 Solve 12*v - 17*v + 20 = 3*z, 0 = -11*z - 5*v + 60 for z. 5 Solve 20*g - 24*g - 8 = -5*y, -10 = 2*y + 5*g for y. 0 Solve -245*j = q - 240*j + 35, 11*q + j + 61 = 0 for q. -5 Solve 18 = -5*p + s, 0 = -4*p + 4*s - 4085 + 4093 for p. -5 Solve 2*b + 15 = -5*o, -36*o + b + 20 = -41*o for o. -5 Solve 2*q + 24*r = 23*r - 7, -12 = 5*q + 2*r for q. 2 Solve 2*o = -5*l + 9, -9*l + 6 - 7 = -2*o - 6 for l. 1 Solve -91 = 11*q + 5*t, -2*q + 19*t - 15*t + 8 = 0 for q. -6 Solve -11*o + 4*x = -62, -62*x = -o - 57*x + 1 for o. 6 Solve -m + 38 = 7*k, 525*m - k - 5 - 1 = 528*m for m. -4 Solve -4*r + 4 = 4*l, 5*l + r + 2*r = -61 + 56 for l. -4 Solve 0 = -5*o + 7*u - 43, 0 = -9*o + 7*o + 3*u - 18 for o. -3 Solve -3*n = -5*q + 20, -8*q - 4*n = -4*q - 4*q - 6*n for q. 4 Solve 28*q + 30 = 3*c + 25*q, 4*c - q - 25 = 0 for c. 5 Solve -31 = -3*o + 4*u, -4228*o = -4225*o + 3*u - 3 for o. 5 Solve -4*o - 7*v = -35, -7*v = -5*o - 12*v + 25 for o. 0 Solve -4754*v + 4753*v = -7, 3*v - 2*v + 3 = -q + 9 for q. -1 Solve 15*k = -3*x - 65 + 26, 2*x - 7 = k for k. -3 Solve 3*i - 241 = -3*h - 304, 0 = -4*h + i + 11 for h. -2 Solve -1242*d = -1244*d - 2*g + 12, 3*d - 3*g + 30 = 0 for d. -2 Solve -2*c = 2, -2*z + c = 16 - 33 + 22 for z. -3 Solve -3*i - 196*l + 193*l - 9 = 0, -5*i = 2*l + 6 for i. 0 Solve 1 = 4*g - s, -46*s + 40*s + 18 = 0 for g. 1 Solve -6*j = -3*p - 20 - 4, -3*p + 6 = 0 for j. 5 Solve -2*o = 5*h - 7 - 3, -6*h = -o - 12 for h. 2 Solve -5*j = 100, -134*a + 53 = -137*a - 2*j + 1 for a. -4 Solve 5*d - 15 = x, -5*d = -3*x - 2*x - 104 + 89 for x. 0 Solve -d + q = -3*d - 1, -4*q = 3*d + 19 for d. 3 Solve d - 5*z + 9*z + 16 = 9*z, 0 = d - z for d. 4 Solve 5*j - 2*u + 317 - 333 = 0, 0 = -u - 3 for j. 2 Solve c - 5 = 5*i, -427*i = -429*i + 5*c - 25 for i. 0 Solve 0 = -3*i - 5*x + 27, -333 + 333 = -4*x for i. 9 Solve -154*f - t - 4 = -153*f, -5 = -5*t for f. -5 Solve -514*g + 17 = -4*l - 519*g, 0 = -4*l - 4*g - 12 for l. 2 Solve 8 = -i + 4*t, 0 = -103*i + 126*i + 4*t + 88 for i. -4 Solve 3*j + 26 - 10 = -n, 3*j - 5*n = -10 for j. -5 Solve -2*j - 14*m = -11*m + 27, 7*j = 3*m for j. -3 Solve 0 = 5*q + 17*t - 96, 5596*q = 5597*q + t - 12 for q. 9 Solve -5*k - 40 = 5*p, -2*p + 200 = -3*k + 186 for k. -6 Solve -3*h + 3*g - 3 = 0, 8200*h = 8202*h - 3*g + 7 for h. 4 Solve 5*o + 619 - 669 = -5*x, 5*x - 29 = -2*o for o. 7 Solve -35 = -7*c, -4*f - 23 - 17 = -4*c - 4 for f. -4 Solve c - 221*a + 217*a + 3 = 0, -16*c - 48 = -4*a for c. -3 Solve z = 2*o - 10, 0 = -3*z + 9770*o - 9774*o + 20 for z. 0 Solve 33*d - 15 = -5*a + 30*d, 5*d = -2*a + 25 for a. 0 Solve 3*z = 5*o - 8, -3*o + 2*z + 17 = 13 for o. 4 Solve -415*n = -416*n - 4*s + 6, -5*s = -6*n + 65 for n. 10 Solve 0 = 4*v + 4*t - 14 + 6, -3*v + 5*t + 6 = 0 for v. 2 Solve 390*o = -5*k + 394*o, 0 = 5*k + 5*o - 0*o for k. 0 Solve 2*r + 5*a - 1 = 0, 0 = -r + 4*a + 53 - 33 for r. 8 Solve -4*o - 45 = -2*t - 77, 2*t - 9*o = -77 for t. 2 Solve 377*z = -h + 378*z - 8, 4*z = h + 14 for h. -6 Solve 2*g = -8, 21*y - 44*y - 5*g = -27*y + 12 for y. -2 Solve 0 = 4*o + 20, 13*w + 13*w - 5*w - 8*o = -65 - 42 for w. -7 Solve -2*k + 573 = -2*d + 581, 3*k = -2*d - 22 for k. -6 Solve 499 = m + 5*f + 514, 23 = -3*m - 4*f for m. -5 Solve -3*u - 24*b + 26*b = -26, -b = 2*u - 8 for u. 6 Solve -38*p = -40*p + 10, -6 = -4*w - 2*p for w. -1 Solve 0 = 9*r + p - 2, -25*p + 28*p - 6 = -r for r. 0 Solve -33*p = -2*t - 29*p + 26, -3*p = -2*t + 21 for t. 3 Solve -5*x = -t + 7, 3*x - 23*t = -27*t + 28 for x. 0 Solve 2*q + k = 11, -8256*q + 3*k = -8257*q + 8 for q. 5 Solve -41*b + 2 = -j - 42*b, 5*j + 3*b = -12 for j. -3 Solve u + a + 5 = 0, 2*u + 451*a - 446*a + 16 = 0 for u. -3 Solve -2*s - 23 = 5*f, -61*s - 35*f - 171 = -57*s for s. 1 Solve 2*o + 3*j + 10 = 0, -268*j - 16 = 4*o - 264*j for o. -2 Solve -26 + 10 = -5*y + 3*o, -2*o - 9 = -3*y for y. 5 Solve -3 = -f, -4*c + 7*f - 3 - 2 = 12*f for c. -5 Solve 5*b + 2 = -2*n, 3*n + 5*b = -138 + 140 for n. 4 Solve 4*z + 28 = -2*n, 4*z - 22 = 2*n + n for n. -10 Solve -i = o, 2*o + 2 = 665*i - 668*i for i. -2 Solve 4*b - 10 = 2*k, 3*b - 12 + 8 = 4*k - 9 for k. 5 Solve -4*m + 2*c + 2 = 0, 11*c - 15*c = m + 4 for m. 0 Solve 5*f + 40 - 27 = 3*h, 9 = -h - f for h. -4 Solve 4*y + 70*u = 71*u - 18, -y - 2*u = 0 for y. -4 Solve 5*g - 21*s - 22 = -23*s, -5 = -5*s for g. 4 Solve 0 = -7*y - r + 13, -5*y - 1245*r + 7 = -1242*r for y. 2 Solve -9*z + 31 = x, 0 = 2*z + x + 15 - 18 for z. 4 Solve 6 = s - 4*f, 0 = 28*s - 24*s + 5*f + 18 for s. -2 Solve 0 = w - 2*t - 6, 7*w - 3*t - 16 + 18 = 0 for w. -2 Solve 2*v - 2 = 0, 7*u - 21 = 3*u + 3*v for u. 6 Solve -3*n = 2*n + 708 - 693, 0 = -2*h - 2*n - 22 for h. -8 Solve 2*q - 3 = -5*j, 24*j + 6 = q + 22*j for q. 4 Solve 0 = 5*f + 236*s - 239*s + 27, 5*f + 4*s = 1 for f. -3 Solve 6 - 3 = -c - g, 5*c + 4*g = -16 for c. -4 Solve -2*c = -11*r + 14*r - 21, 3*c - 74 = -13*r for c. 3 Solve 2*t - 34 = 7*r - 56, -t + 2*r - 5 = 0 for t. 3 Solve p - 2*s = -9, -2 = 2*p + 458*s - 454*s for p. -5 Solve 693 - 685 = -2*r, 10*r = -2*w - 62 for w. -11 Solve 4*o + 4 = -4*j, -1765*j - o - 11 = -1769*j for j. 2 Solve -5*v + 553*s - 20 = 554*s, -2*v + 4*s = 30 for v. -5 Solve 5*u = -686*i + 685*i + 44, -7*u + i = -64 for u. 9 Solve 2293 = b + 2294, -3*a + 5*b = 28 for a. -11 Solve 0 = 2*z + 2*b + 4, -4*z + 624*b - 623*b + 12 = 0 for z. 2 Solve -116*u + 121*u - 4*l + 50 = 0, -4*l = 14*u + 64 for u. -6 Solve -3*i + 38 = 20, 0 = -23*y + i + 63 for y. 3 Solve -2*z = -5*m - 16, 3*z + 252*m - 13 = 254*m for z. 3 Solve -6*x + 10*x - k + 16 = 0, -4 = 4*x - 4*k for x. -5 Solve -159*f = g - 161*f - 3, -36 = -12*g - 5*f for g. 3 Solve -15*o + 3*u = -10*o - 20, 4*u = 2*o - 8 for o. 4 Solve 5*y = -4*u - 23, -3*y + 8*y = -1199*u + 1197*u - 29 for y. -7 Solve 10*a - 5*a = 20, -10*s + 80 = -5*a for s. 10 Solve 3*m + 3*z = -81, -132*z + 128*z - 100 = 2*m for m. -4 Solve 5*l - 2*o - 31 = 0, -71 = -5*l + o - 38 for l. 7 Solve 4*w + 3*m = -1, -137*w = -141*w + 5*m - 9 for w. -1 Solve 16 = 4*p, 4*g + 192 - 176 = 4*p for g. 0 Solve -5*p + 3 = 86*v - 87*v, 2*p - 8 = -3*v for v. 2 Solve -4*c = -3*o + c - 5, -31*o + 60*o = 2*c - 2 for o. 0 Solve 2*a + 16*n = 11*n + 26, 2*a = -n + 2 for a. -2 Solve 1887*c = -4*n + 1884*c + 8, -2*n + c - 6 = 0 for n. -1 Solve 0 = -5*j +
{ "pile_set_name": "DM Mathematics" }
u: 3, i: 3}? 3/14 Two letters picked without replacement from wppwppwwwppwwppp. Give prob of picking 2 p. 3/10 Two letters picked without replacement from llllll. Give prob of picking 2 l. 1 What is prob of picking 1 x, 2 q, and 1 m when four letters picked without replacement from qlmkqxss? 1/70 Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {o: 4, g: 7}. 14/55 Calculate prob of picking 2 p when two letters picked without replacement from pceeccncpp. 1/15 Two letters picked without replacement from eeuuyelyuphhuuehhu. Give prob of picking 1 p and 1 l. 1/153 Four letters picked without replacement from uuxuouubccuc. What is prob of picking 4 u? 1/33 Two letters picked without replacement from {b: 6, c: 1, a: 1, m: 1}. Give prob of picking 1 a and 1 m. 1/36 Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 6, p: 3, i: 6}. 6/35 Two letters picked without replacement from {d: 3, a: 2, x: 3, b: 2, l: 1, n: 1}. Give prob of picking 1 l and 1 a. 1/33 Calculate prob of picking 1 r and 2 c when three letters picked without replacement from {r: 4, c: 14}. 91/204 Calculate prob of picking 1 g, 2 e, and 1 l when four letters picked without replacement from llgiyniieeieegiii. 6/595 Two letters picked without replacement from eenpgpggpcpcgagepc. Give prob of picking 1 g and 1 p. 25/153 Three letters picked without replacement from ffycfvffeuuu. What is prob of picking 1 f, 1 e, and 1 u? 3/44 Calculate prob of picking 1 p, 1 g, and 1 h when three letters picked without replacement from {h: 6, s: 1, p: 3, g: 2}. 9/55 Calculate prob of picking 2 j when two letters picked without replacement from {a: 5, j: 14}. 91/171 Two letters picked without replacement from knko. What is prob of picking 1 o and 1 n? 1/6 Four letters picked without replacement from drrvii. What is prob of picking 1 r, 1 v, and 2 i? 2/15 Two letters picked without replacement from ooukomukumo. What is prob of picking 1 m and 1 o? 8/55 What is prob of picking 1 q, 1 j, 1 s, and 1 h when four letters picked without replacement from {h: 3, j: 1, r: 4, s: 5, q: 1}? 15/1001 Four letters picked without replacement from {d: 2, z: 5}. Give prob of picking 4 d. 0 Three letters picked without replacement from {e: 8, b: 3}. Give prob of picking 1 e and 2 b. 8/55 What is prob of picking 1 x, 2 n, and 1 t when four letters picked without replacement from ynntynnxynyxnxxx? 15/364 What is prob of picking 2 d and 1 u when three letters picked without replacement from {a: 1, d: 2, v: 1, u: 2, i: 1, x: 1}? 1/28 What is prob of picking 1 i and 1 v when two letters picked without replacement from vivqqgigg? 1/9 Calculate prob of picking 4 y when four letters picked without replacement from {i: 6, y: 6}. 1/33 Four letters picked without replacement from cppffpmmmmmcmcmmm. What is prob of picking 2 c, 1 m, and 1 p? 81/2380 What is prob of picking 2 q and 1 w when three letters picked without replacement from {w: 5, g: 2, q: 2, t: 11}? 1/228 Two letters picked without replacement from unugqunguugnnuunun. What is prob of picking 2 g? 1/51 Three letters picked without replacement from {n: 5, v: 3, x: 3}. Give prob of picking 2 v and 1 x. 3/55 Three letters picked without replacement from {n: 2, g: 1, p: 1, q: 2}. What is prob of picking 1 g, 1 p, and 1 q? 1/10 Three letters picked without replacement from {r: 2, j: 9}. Give prob of picking 1 j and 2 r. 3/55 What is prob of picking 1 i, 2 p, and 1 h when four letters picked without replacement from ibhhhhiipaiiphpih? 27/595 Three letters picked without replacement from qqqqqqqqqq. Give prob of picking 3 q. 1 What is prob of picking 2 o when two letters picked without replacement from nhhhhnhhihoohhhohoh? 2/57 Two letters picked without replacement from {f: 1, q: 3, b: 2, s: 2, t: 4, l: 8}. Give prob of picking 1 q and 1 b. 3/95 Three letters picked without replacement from {n: 4, j: 2, l: 1, e: 2, t: 1}. Give prob of picking 1 t and 2 e. 1/120 Three letters picked without replacement from {v: 2, y: 2, g: 2, z: 6}. Give prob of picking 1 z, 1 v, and 1 g. 6/55 What is prob of picking 1 f, 2 o, and 1 r when four letters picked without replacement from {j: 2, u: 1, o: 2, f: 13, r: 2}? 26/4845 Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 3, z: 2, p: 6, k: 4, l: 1}. 3/560 Two letters picked without replacement from gqgqqegeugugugegqu. Give prob of picking 2 g. 7/51 Calculate prob of picking 2 c when two letters picked without replacement from {a: 2, q: 6, c: 5}. 5/39 Four letters picked without replacement from {g: 4, z: 1, b: 2, u: 4}. Give prob of picking 1 z, 1 b, and 2 u. 2/55 Three letters picked without replacement from pompsooloo. Give prob of picking 2 p and 1 m. 1/120 Calculate prob of picking 1 x, 1 a, and 1 n when three letters picked without replacement from xxxeexnaj. 1/21 Three letters picked without replacement from {n: 2, i: 1, y: 1}. What is prob of picking 1 y, 1 i, and 1 n? 1/2 What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 1, g: 3, f: 1, t: 2}? 1/7 Four letters picked without replacement from {m: 4, d: 2, h: 6, r: 3, w: 1, f: 2}. Give prob of picking 3 h and 1 d. 2/153 What is prob of picking 1 o and 1 t when two letters picked without replacement from atao? 1/6 Four letters picked without replacement from {o: 2, q: 17}. What is prob of picking 4 q? 35/57 What is prob of picking 2 t when two letters picked without replacement from ttztttttzttt? 15/22 Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {e: 1, k: 5, x: 1, h: 1, d: 1, f: 3}. 1/22 What is prob of picking 1 k and 1 p when two letters picked without replacement from {k: 1, l: 2, p: 1}? 1/6 Four letters picked without replacement from {l: 4, e: 2, w: 2, z: 8}. What is prob of picking 2 z and 2 w? 1/65 Two letters picked without replacement from {h: 1, r: 3, o: 1, x: 7, w: 1}. Give prob of picking 1 w and 1 r. 1/26 Two letters picked without replacement from nrerznzxzrmzxnznzxn. What is prob of picking 1 m and 1 n? 5/171 Two letters picked without replacement from jjjppjjppjjmjjjpjpj. Give prob of picking 1 m and 1 j. 4/57 What is prob of picking 2 h and 2 q when four letters picked without replacement from hhqqqqhhqhhqh? 63/143 Four letters picked without replacement from {s: 6, a: 4, w: 1}. Give prob of picking 4 s. 1/22 Calculate prob of picking 2 j when two letters picked without replacement from jjjj. 1 What is prob of picking 1 v and 1 z when two letters picked without replacement from {e: 2, r: 1, v: 2, z: 1, g: 1}? 2/21 Calculate prob of picking 1 w and 1 f when two letters picked without replacement from fww. 2/3 Three letters picked without replacement from kgkgkgg. What is prob of picking 3 k? 1/35 Two letters picked without replacement from btgwp. What is prob of picking 1 p and 1 g? 1/10 What is prob of picking 3 g and 1 q when four letters picked without replacement from ggssghjqjgssgh? 10/1001 Calculate prob of picking 2 n when two letters picked without replacement from wnwjjewwqqwnwn. 3/91 What is prob of picking 4 v when four letters picked without replacement from vsslllvvsscscsssv? 1/2380 What is prob of picking 4 k when four letters picked without replacement from {k: 14, x: 5}? 1001/3876 Calculate prob of picking 1 y, 1 j, 1 o, and 1 u when four letters picked without replacement from {o: 2, h: 1, u: 3, y: 2, b: 3, j: 7}. 7/255 Three letters picked without replacement from {h: 2, o: 1, w: 1, y: 2, v: 2}. Give prob of picking 1 o, 1 h, and 1 v. 1/14 What is prob of picking 3 j and 1 h when four letters picked without replacement from jhjhj? 2/5 What is prob of picking 2 t when two letters picked without replacement from {j: 4, t: 4, p: 1, h: 4, w: 3, o: 1}? 3/68 Three letters picked without replacement from ccccscckcccccscccskc. What is prob of picking 1 c and 2 k? 1/76 Two letters picked without replacement from gddn. Give prob of picking 1 d and 1 g. 1/3 Calculate prob of picking 1 i and 1 q when two letters picked without replacement from fsriq. 1/10 Four letters picked without replacement from {s: 6, k: 2}. Give prob of picking 2 k and 2 s. 3/14 Three letters p
{ "pile_set_name": "DM Mathematics" }
0642990, 23946722, 42571946? 66518662 What is the next term in -98647, -209165, -319683, -430201, -540719? -651237 What is next in -37489128, -74978256, -112467384, -149956512, -187445640, -224934768? -262423896 What is next in 2414739, 2414711, 2414683, 2414655, 2414627, 2414599? 2414571 What is next in 939077, 939065, 939051, 939035, 939017, 938997? 938975 What is next in -2671703, -5343419, -8015135? -10686851 What is the next term in -8, 352, 994, 1936, 3196, 4792, 6742, 9064? 11776 What is next in -2389341822, -2389341821, -2389341820, -2389341819? -2389341818 What is the next term in -115453, -231575, -347697, -463819? -579941 What is next in 851274, 3405092, 7661456, 13620366, 21281822, 30645824, 41712372? 54481466 What is next in 9247, 74084, 250147, 593074, 1158503, 2002072, 3179419, 4746182? 6757999 What comes next: 139482, 279033, 418586, 558141, 697698? 837257 What comes next: -153992293, -307984584, -461976875, -615969166, -769961457? -923953748 What is the next term in -77261, -77209, -77151, -77087, -77017, -76941? -76859 What comes next: 1150, 1191, 1258, 1351, 1470, 1615? 1786 What is the next term in 37953, 87693, 170593, 286653, 435873? 618253 What comes next: 2170308, 2170305, 2170302, 2170299, 2170296? 2170293 What comes next: -394357, -789248, -1184137, -1579024, -1973909? -2368792 What is next in -48555, -48591, -48695, -48897, -49227? -49715 What comes next: -857, -319, 219? 757 What is the next term in 2434, 4952, 7476, 10006, 12542, 15084? 17632 What comes next: -33019, -32599, -31897, -30913, -29647? -28099 What is next in -5006, -10083, -15246, -20495, -25830, -31251? -36758 What is next in 36284, 39872, 43458, 47042, 50624, 54204, 57782? 61358 What is next in 280240, 1121403, 2523342, 4486057, 7009548, 10093815, 13738858? 17944677 What is the next term in 3535832, 3535856, 3535880, 3535904? 3535928 What is next in 887, 2725, 5527, 9293, 14023, 19717, 26375? 33997 What is the next term in -244590, -979008, -2203028, -3916644, -6119850, -8812640? -11995008 What is the next term in 106460, 424995, 955886, 1699133, 2654736, 3822695? 5203010 What comes next: -8395, -16751, -25097, -33433, -41759, -50075? -58381 What is the next term in 10899, 87449, 295349, 700275, 1367903, 2363909, 3753969, 5603759? 7978955 What comes next: 158876298, 317752593, 476628888? 635505183 What comes next: -88551, -177193, -265835? -354477 What is the next term in -4270, -39904, -136620, -324958, -635458, -1098660, -1745104, -2605330? -3709878 What is next in -360176, -360170, -360156, -360134, -360104? -360066 What is the next term in 40101, 81113, 122125? 163137 What comes next: 6952468, 13904928, 20857388, 27809848, 34762308? 41714768 What is the next term in 891783, 891493, 891191, 890871, 890527, 890153? 889743 What is next in -3262817, -3262746, -3262629, -3262466, -3262257? -3262002 What comes next: 52477, 210063, 472693, 840355, 1313037, 1890727, 2573413? 3361083 What is next in -35916, -72646, -109376? -146106 What comes next: 13717, 54057, 121291, 215419? 336441 What comes next: 62069, 62006, 61953, 61916, 61901, 61914? 61961 What is next in -5978, -14622, -25922, -39872, -56466? -75698 What is the next term in 38896, 77809, 116758, 155743, 194764, 233821, 272914? 312043 What is next in 2337, 18529, 62457, 147981, 288961? 499257 What is the next term in -1911, -3778, -5563, -7260, -8863, -10366, -11763? -13048 What is the next term in 3478, 13253, 29532, 52309, 81578, 117333, 159568? 208277 What is the next term in -110758, -110834, -110974, -111190, -111494, -111898, -112414, -113054? -113830 What is next in -218428, -873707, -1965838, -3494821, -5460656, -7863343, -10702882? -13979273 What comes next: -882707, -1765414, -2648121, -3530828, -4413535, -5296242? -6178949 What is the next term in -32232, -128946, -290136, -515802, -805944, -1160562? -1579656 What is the next term in 22317, 23562, 24801, 26034? 27261 What comes next: -2078636, -8314526, -18707670, -33258062, -51965696, -74830566, -101852666, -133031990? -168368532 What comes next: 137225, 546065, 1227457, 2181395, 3407873, 4906885, 6678425? 8722487 What is next in -23054, -45349, -67634, -89909? -112174 What is next in -10658, -21513, -32368, -43223, -54078, -64933? -75788 What is the next term in -39512, -39495, -39436, -39329, -39168, -38947, -38660? -38301 What is next in -123966, -495837, -1115630, -1983357, -3099030, -4462661? -6074262 What is next in 481798553, 963597104, 1445395655, 1927194206? 2408992757 What comes next: -92, 183, 444, 697, 948, 1203? 1468 What is next in 1546526, 3093001, 4639476, 6185951, 7732426? 9278901 What comes next: 484452, 484463, 484488, 484533, 484604, 484707, 484848? 485033 What comes next: -1587275971, -1587275970, -1587275969, -1587275968, -1587275967, -1587275966? -1587275965 What is the next term in -352107, -352077, -352047, -352017, -351987, -351957? -351927 What comes next: 42642, 59916, 77190, 94464, 111738? 129012 What comes next: -416476, -833002, -1249578, -1666204, -2082880, -2499606, -2916382? -3333208 What is next in -14555, -29450, -44637, -60122, -75911, -92010, -108425, -125162? -142227 What is next in 1767826, 1767823, 1767820, 1767817, 1767814? 1767811 What is next in -1769, -3595, -5497, -7499, -9625, -11899, -14345, -16987? -19849 What comes next: 17895, 73183, 165341, 294369, 460267, 663035? 902673 What comes next: -275, -2095, -3915, -5735, -7555, -9375? -11195 What comes next: 2209, 2310, 2411? 2512 What comes next: 73976, 148123, 222270, 296417? 370564 What is the next term in -530, -1155, -1850, -2621, -3474, -4415, -5450, -6585? -7826 What is the next term in -21098, -20925, -20752, -20579? -20406 What is next in 29917, 59974, 90029, 120082, 150133, 180182? 210229 What comes next: 165301, 162771, 160241, 157711? 155181 What is the next term in -973, -7190, -23523, -54838, -106001, -181878, -287335, -427238? -606453 What is the next term in -365029, -730059, -1095089? -1460119 What comes next: -14540509, -14540482, -14540453, -14540422? -14540389 What is the next term in -6461, -13290, -20119, -26948, -33777? -40606 What is the next term in -2363489, -4727104, -7090719, -9454334? -11817949 What is next in -11381640, -22763269, -34144898? -45526527 What comes next: -9928, -39727, -89402, -158953? -248380 What is next in -170168, -170203, -170304, -170507, -170848? -171363 What comes next: 16180, 3606, -8952, -21488, -33996, -46470, -58904? -71292 What is next in 10603, -1849, -22603, -51659, -89017, -134677, -188639? -250903 What comes next: -590289, -590078, -589865, -589650, -589433, -589214, -588993? -588770 What is next in 55151907, 55151916, 55151927, 55151940, 55151955? 55151972 What is the next term in -8967, -31873, -68711, -119481, -184183? -262817 What is next in -199628, -399275, -598922? -798569 What is next in 1271400, 1271374, 1271348, 1271322, 1271296? 1271270 What is the next term in 150, -805, -3632, -9267, -18646, -32705, -52380? -78607 What is the next term in -105, 1618, 5179, 10578, 17815, 26890, 37803? 50554 What comes next: -399697, -399610, -399369, -398896, -398113, -396942? -395305 What is the next term in -109389, -109351, -109279, -109167, -109009, -108799? -108531 What comes next: 119943, 479943, 1079945, 1919949, 2999955? 4319963 What is the next term in 4458784, 8917569, 13376352, 17835133? 22293912 What is next in -7703, -14003, -20303? -26603 What comes next: -657835, -657829, -657821, -657811? -657799 What is the next term in 66678, 66693, 66714, 66741, 66774, 66813? 66858 What comes next: -10325161, -10325163, -10325165, -10325167? -10325169 What comes next: 36011, 144029, 324047, 576071, 900107, 1296161? 1764239 What comes next: -39855797, -39855796, -39855795? -39855794 What is next in 207826, 207020, 206214, 205408? 204602 What is the next term in -2451191, -2451193, -2451195, -2451197, -2451199? -2451201 What is the next term in 33115964, 66231927, 99347890? 132463853 What is next in 6851, 11265, 15677, 20087, 24495, 28901? 33305 What is next in 129, -713, -2991, -7419, -14711, -25581, -40743, -60911? -86799 What is next in -3825, -11191, -22113, -36615, -54721, -76455, -101841? -130903 What is next in -17998710, -17998705, -17998698, -17998689? -17998678 What is n
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of 26/9 and (-1)/(-72) + (-13)/((-728)/21). 18 Suppose 0 = i + i - n - 12, -i = -5*n - 15. Let a = -10 - -12. Suppose -c - i*s = -6, c = 3*s - a - 0. Calculate the lowest common multiple of c and 10. 10 Let a = 4557 - 95677/21. Let j = a - 7/6. Let m = -121/39 + 1493/234. Calculate the common denominator of j and m. 126 Let n(y) = 5*y**2 - 2*y + 6*y - 18*y**3 + 19*y**3. Let g be n(-2). Suppose l = -2 - 3, -l + g = t. Calculate the least common multiple of t and 9. 9 Let k(h) = h**3 + 20*h**2 + 19*h + 24. Calculate the lowest common multiple of k(-19) and 6. 24 Suppose 73 = o - 0*o + x, -x = -1. Calculate the common denominator of 1/3 and 2*(-268)/o + 2. 9 What is the common denominator of ((-4005)/120)/((-21)/(-4)) and -43/2? 14 Let h = 16 + -11. Let t(j) = -11*j + 122. Calculate the smallest common multiple of h and t(11). 5 Let i = -13 + 19. Suppose 105 = 4*f - 4*g + 25, -2*f = 3*g - 15. Let u(l) = -l**2 + 17*l - 22. What is the lowest common multiple of u(f) and i? 24 Let g(v) = -41*v + 1. Let w be g(-1). Suppose 61*r - 64*r = 4*h - 22, 3*r - 6 = 0. Find the common denominator of (w/9 - h) + 23 and -19/6. 6 Let v be (-54)/(-72) + 37/4. Find the common denominator of 265/v*2/(-16) and 22. 16 Let f(m) = m**3 - m**2 + 4*m + 12. Let l be f(0). Suppose r = -2*r + 42. Calculate the least common multiple of r and 3 - (l/30 + 12/(-5)). 70 Let s = -5 + 9. Suppose 3*q + i = -2*i + 18, 2*q = 5*i - 2. Suppose -q*y - k + 53 = 0, 2*y = -y - 4*k + 56. Calculate the smallest common multiple of y and s. 12 Let y be 114*(-9)/(-18) + (0 - 0). Let w = y - 41. What is the lowest common multiple of 66 and w? 528 Let g = 1219 + -10987/9. Calculate the common denominator of g and 28/785. 7065 Let j = -7400 - -2855. Calculate the common denominator of (-2)/(-11) + j/2673 and -35/3. 27 Let h(t) = t**2 + 4*t + 12. Let k be (-6)/(-15) + 44/(-10). Calculate the smallest common multiple of h(k) and 24. 24 Let g = 12599/30 + -841/2. Calculate the common denominator of g and -43/12. 60 Calculate the least common multiple of 6 and 2/(-5)*(-3)/2*15. 18 Suppose -9 + 45 = 5*j + 4*b, j = -5*b + 24. What is the lowest common multiple of 76 and j? 76 Let k = -102 + 211/2. Calculate the common denominator of k and 34/3. 6 Let d = 4 + -7. Let a be (-996)/30 - (-1)/5. Calculate the common denominator of 3/(a/59) - d and 20/3. 33 Suppose -3*a + 4*a + 3*b - 10 = 0, -5*a - 2*b + 24 = 0. What is the lowest common multiple of 99 and a? 396 Suppose 0*g + 3*g - 4*o - 9 = 0, 5*o = 15. Suppose -2 = z - g. What is the lowest common multiple of 4 and z? 20 Let p(y) = -y**2 - 5*y. Let h(c) = 3 - c + 5*c - 2*c - 4*c. Let b be h(3). What is the least common multiple of p(b) and 12? 12 Let q = -33 + 36. Suppose -q = u - 3*f, 0 = -u - 5*f - 11 + 32. What is the least common multiple of 2 and u? 6 Suppose -2*g + 132 = -0*g. Calculate the least common multiple of (-16)/(-6)*g/8 and 8. 88 Suppose -21*x + 90 = 6. Let q(l) = l**3 + 8*l**2 - 10*l + 9. What is the least common multiple of q(-9) and x? 36 Let q = 642193/112230 - -2/18705. Find the common denominator of q and ((-4)/46)/((-16)/(-60)). 414 What is the common denominator of 57/20 and 1593/3240 - (-1 + 7/5)? 120 Let r(u) = -16*u**3 - 3*u**2 + 4*u - 2. Let j be r(-5). Let g = -11387/6 + j. What is the common denominator of 77/18 and g? 18 Let l be (-1)/(18/238)*(-249)/(-10). Let y = -329 - l. Let a = 377555/66 + -17150/3. Calculate the common denominator of a and y. 330 Let x = -33580/172823 - -3/7054. Find the common denominator of x and 47/20. 980 Let z(t) = -8*t + 12. Let k be z(3). Calculate the common denominator of 7/(-7) - (-94)/k and -19/18. 18 Let k = 77585/18 + -4315. Let d = k - -212/9. Find the common denominator of 22/(-6) - (8/12 + -1) and d. 6 Suppose -17*c = -673 - 347. Calculate the least common multiple of 6 and c. 60 What is the common denominator of 6/5 and 12/30*(-4)/((-144)/580)? 45 Let x be 3 - (1 - -1) - 7170. Let i = x - -143411/20. Find the common denominator of (-3)/40*15/(-2) and i. 80 Let r = -82975/12 - -6909. Let a be 1/2 - 21/(-14). Find the common denominator of r and (-2254)/(-280) + -2*a. 60 Let u be (-1)/(-2)*(1 + -1). Suppose u*k + 14 = -k. Let m(i) = -i**3 - 15*i**2 - 16*i - 6. What is the smallest common multiple of m(k) and 2? 22 Let m be -16 - (0 + 2 + -2). Let t = 20281 + -446261/22. Calculate the common denominator of t and 53/10 + m/40. 110 Let y(r) = r**2 - r - 6. Let f(z) = z**3 + 53*z**2 + 103*z + 63. Calculate the smallest common multiple of y(6) and f(-51). 24 What is the common denominator of 31/313 and -27*(-11)/(-121) + (-10)/(-2)? 3443 Let c = -3 + 10. Let d(y) = -8 - 3*y - 2*y**3 - 178*y**2 + y**3 + 186*y**2. Calculate the smallest common multiple of d(c) and 4. 20 Calculate the common denominator of ((-6)/((-2244)/(-737)))/(5/(-2)) and 4/35. 595 Suppose 3*q - 60 = -2*q - 5*z, 3*q - 46 = -5*z. Let l(s) = -s**3 + 8*s**2 - 6*s - 2. Calculate the least common multiple of 6 and l(q). 30 Suppose -2*k - k = -27. Suppose 3*v = v. Suppose -31*h + 28*h + 27 = v. Calculate the smallest common multiple of k and h. 9 Let t(g) = -g**2 + 6*g + 3. Let r be t(6). Suppose -3*u - 5*o = 2*u - 35, 0 = r*o + 9. Calculate the smallest common multiple of u and 11. 110 Suppose -2*t = q - 4*q - 14, t + 2*q = -7. Let y(l) = l**3 - 11*l**2 + 7*l - 24. Let r be y(6). What is the common denominator of -87/10 and (t - 14)*(-36)/r? 90 Find the common denominator of -139/102 and ((1/(-5))/(68/244))/1. 510 Let m = 14 - -9. Find the common denominator of (2/2*-2 - 0) + 32490/2052 and (-5)/15 + m/60. 60 Calculate the common denominator of -109/315 and (14/30)/((-108)/567). 1260 Let i = 665 + -633. What is the lowest common multiple of i and 72? 288 Suppose -3090 = -77*v + 8922. What is the smallest common multiple of v and 39? 156 Let r be (-1827)/49 - (-2)/(-2). Let m = r - -1779/28. Find the common denominator of 1 + -4 + 495/36 and m. 4 Let r be (-1570)/(-32)*36/(-440). Let t = r - -15/32. Calculate the common denominator of -1 - 190/4 - -1 and t. 22 Let h = 3788 - 53111/14. Find the common denominator of h and 17/5*14/4. 70 Let y be (1*2)/(12/108). What is the common denominator of -16/15 and (292/y)/(3/(6/8))? 90 Suppose 3*h + 2 - 8 = 0, n + 3*h - 22 = 0. What is the lowest common multiple of 24 and n? 48 Let r = -16904/33387 + 120/359. Let a = -4172/465 - r. Let l = -43684 - -174769/4. What is the common denominator of l and a? 20 Let k = 1081651/142110 + -2/7895. Let z be -2*4/(-8) - 4. What is the common denominator of ((-219)/(-9))/(1 + z) and k? 18 Suppose 3*x - 115 = -43. Suppose -2*h + x = 4*h. What is the common denominator of (-434)/35 + 1*h and 20/9? 45 Let w(s) = 12*s - 6. Calculate the smallest common multiple of 46 and w(1). 138 Suppose 0*a + 8 = -4*v - 4*a, a + 2 = -4*v. What is the smallest common multiple of 1 - 2 - (-10)/5 and -25*((-2)/5 + v)? 10 Let o = -13 + 13. Let a(v) = -v**3 + 7*v**2 + 10*v. What is the lowest common multiple of 3/15*o + 10 and a(8)? 80 Let k(c) = c**3 + 16*c - 56. What is the smallest common multiple of 228 and k(4)? 1368 Let k = 26031/26 + -1001. Find the common denominator of -101/4 and k. 52 Let a = -21 - -11. Let x = 12 + a. Suppose 0 = -x*i - 0*i - 3*n + 88, -5*i - 4*n = -234. Calculate the common denominator of i and 5/2. 2 Find the common denominator of 0 + (-17)/((-476)/(-96)) + 0 and -37/10. 70 Let q = 188644 + -34710597/184. What is the common denominator of q and -20/207? 1656 Let g = 21290 + -468467/22. What is the common denominator of g and (18/12)/(54/(-146))? 198 Let n(v) = -26*v**3 + 2*v**2 + 3*v - 1. Let j be n(-3). Let r = j + -1447/2. What is the common denominator of -87/4 and r? 4 Calculate the least common multiple of 30 and (3 - 2)*1 - (-520)/8. 330 Let m be 1*(-25)/(-15)*-3. Find the common denominator of 19 and 17/m + (13 - 15). 5 Calculate the common denominator of (-142)/10880 + 5/(-85) and -41/64. 320 Calculate the common denominator of (-2 - -1) + -4 - (-53508)/11088 and 34/11. 132 Suppose 3*w + 5*q + 121 = 0, 13 = -2*w - 3*q - 67. Let b = w - -40. Calculate the lowest common multiple of 2 and b. 6 Find the common denominator of ((-14)/147)/(12/(-113)) and 71/18. 126 Let n(j) = 36*j - 419. What is the lowest com
{ "pile_set_name": "DM Mathematics" }
**2 + 1. Let x(o) = o**3 + 9*o**2 + o + 11. Let q be x(-9). Let z(v) = 0*v**2 + 3*v**q - 3*v + 3*v. Give z(d(m)). 12*m**2 Let i(w) = -3*w**2. Let b(z) = -8*z**2 - 4 + 4 + 23*z**2. Calculate i(b(k)). -675*k**4 Let r(l) be the first derivative of -57*l**2/2 - 30. Let j(c) = 2*c. Give j(r(f)). -114*f Let j(t) = t. Let w(h) = -1645*h**2. Give w(j(x)). -1645*x**2 Let p(c) = -2*c**2. Let f(i) be the third derivative of i**5/30 + 4*i**2. Calculate f(p(a)). 8*a**4 Let b(k) = -k. Let u(l) = 4*l. Let s(m) = -15*b(m) - 3*u(m). Let h(w) = 12*w**2. Calculate s(h(g)). 36*g**2 Let l(b) = b. Let a(o) = -10*o + 6*o + 3*o. What is a(l(g))? -g Suppose 0 = 4*t - 8 - 0. Let g(l) = 0*l - t*l**2 + 0*l. Let b(a) = 2*a**2 + 3*a**2 - 6*a**2. Determine b(g(i)). -4*i**4 Let f(u) = -u**2 - 21. Let k(g) = 121*g**2 + 2. Give f(k(s)). -14641*s**4 - 484*s**2 - 25 Let i(s) = 2*s. Let v(y) be the first derivative of 6*y**3 - 2 - 4*y**3 + 0 + 0. Determine v(i(w)). 24*w**2 Let l(b) = 2*b. Let s(d) be the second derivative of -d**5/60 - d**3/6 + 4*d. Let f(g) be the second derivative of s(g). Determine f(l(a)). -4*a Let f(a) = 62*a**2. Let c(z) = -z - 20. Calculate f(c(w)). 62*w**2 + 2480*w + 24800 Let o(x) = -2*x. Let z(c) be the second derivative of -31*c**3/6 - 11*c. Give z(o(s)). 62*s Let y(v) = 140*v. Let w(t) = 3*t**2. Determine w(y(u)). 58800*u**2 Let x(s) = -2*s. Let y(a) = a**3 + 5*a**2 - 7*a. Let j be y(-6). Let l(c) = 3*c**2 + c**2 - j*c**2 + c**2. Determine l(x(z)). -4*z**2 Let z(s) = -s. Let c(v) = -23*v + 1. Give z(c(w)). 23*w - 1 Let z(y) = -2*y**2 - 1 + 1. Let l(x) = -4*x**2 - 68*x + 68*x. What is l(z(h))? -16*h**4 Let g(b) be the third derivative of b**5/60 - 5*b**2. Let s(w) = -11*w. What is g(s(n))? 121*n**2 Let s(x) = x. Let p(g) = 17 + 1 - 25*g - 5. Let j(c) = -6*c + 3. Let t(o) = 26*j(o) - 6*p(o). Give t(s(b)). -6*b Let f(d) = -d**2. Suppose 0 = -3*b + 2*b. Let h(x) = -x + 2. Let n be h(b). Let c(o) = 0*o + n*o**2 + 0*o. What is c(f(k))? 2*k**4 Let s(p) = -2*p**2. Let h(q) be the first derivative of 8*q**2 + 10. Give s(h(g)). -512*g**2 Let r(z) = 2*z. Let q(o) = 5*o. Let f(x) = -x**2 + 4*x. Suppose -s + 2*t = -5, 3*t = 2*s - s - 5. Let v(i) = s*f(i) - 4*q(i). Calculate r(v(w)). -10*w**2 Let k(m) be the third derivative of m**4/24 - 12*m**2. Let u(a) = -39*a. Give k(u(l)). -39*l Let q(o) = 41*o**2. Let h(y) = 13*y - 5. Give h(q(k)). 533*k**2 - 5 Let k(s) = -2*s. Let c(g) be the first derivative of -9*g**2 + 1. Determine k(c(o)). 36*o Let s(k) = k**2. Let a(r) = 89*r - 5. What is s(a(g))? 7921*g**2 - 890*g + 25 Let n(c) be the first derivative of -4*c**2 - 12. Let w(j) = -3*j**2. What is n(w(f))? 24*f**2 Let y(w) = -2*w**2. Let n(m) = m**3 - 10*m**2 + 10*m - 7. Let f be 10 - (-2 + 3 + 0). Let d be n(f). Let t(a) = 6*a**2 - 3*a**2 - 4*a**d. Calculate y(t(r)). -2*r**4 Let x(v) be the first derivative of 6*v**3 + 4. Let g(p) = -p. What is x(g(w))? 18*w**2 Let x(d) = 8*d**2. Let v(l) = -9*l**2 + 33*l. Let j(q) = q**2 - 4*q. Let f(o) = 33*j(o) + 4*v(o). Give x(f(n)). 72*n**4 Let u(s) = -22*s**2. Let v(h) = -2*h - 12. Give v(u(d)). 44*d**2 - 12 Let b(i) = 0*i**2 - i**2 - 7 + 7. Let j(v) = -3*v + 0*v + 4*v. Determine b(j(g)). -g**2 Let t(b) = 5*b**2 - 4. Let d(z) = 11*z**2 - 9. Let v(p) = -4*d(p) + 9*t(p). Let f(s) = -39 + 39 - 7*s. Determine f(v(c)). -7*c**2 Let r(s) = s. Let j(v) = 4*v**2. Let z(w) = 4*w**2. Let k(c) = -5*j(c) + 6*z(c). Determine k(r(b)). 4*b**2 Let f(j) = j + 1. Let y(o) = 0 + 3 + o - 1. Let m(d) = 4*f(d) - 2*y(d). Let v(z) = z - 6*z + 4*z. Determine v(m(t)). -2*t Let v(t) = 2*t**2. Let n(k) be the third derivative of -k**4/2 + k**2. Determine n(v(a)). -24*a**2 Let r(n) = -12*n**2. Let h(v) = -v - 2*v + 0*v + 4*v. Give r(h(a)). -12*a**2 Let x(l) = 62*l. Let b(v) = -90*v. Calculate b(x(o)). -5580*o Let m(s) = 4*s**2 - 2*s**2 - 3*s**2 - s**2. Let h(q) = -2*q**2. Give h(m(x)). -8*x**4 Let h(o) = -8*o - 6. Let s(x) = -23*x - 17. Let j(t) = -17*h(t) + 6*s(t). Let f(p) = -6*p**2. Determine f(j(c)). -24*c**2 Let b(p) = -2 + 6*p - 12*p + 2. Let g(t) = t. Calculate b(g(r)). -6*r Let l(b) = 2*b. Let d(t) = -18 - 4*t + 18. Determine d(l(w)). -8*w Let v(m) = -4*m**2. Let j be (-4)/16 - 57/12. Let t(c) = 4*c**2 + 5. Let n(i) = 3*i**2 + 4. Let x(o) = j*n(o) + 4*t(o). Determine x(v(q)). 16*q**4 Let o(p) = -135*p. Let s(f) = f**2 - 17*f. What is s(o(h))? 18225*h**2 + 2295*h Let j(d) = 2*d. Let f(i) = 248*i**2. Calculate f(j(n)). 992*n**2 Let h(a) = 3*a. Let j(v) = -395*v. Determine h(j(m)). -1185*m Let q(r) = r**2 - 7. Let n(h) = 6*h + 4. What is q(n(k))? 36*k**2 + 48*k + 9 Let o(j) be the first derivative of j**3 + 16. Let u(n) = -8*n**2. Calculate o(u(h)). 192*h**4 Let q(v) = 24*v**2. Let p(f) be the second derivative of -f**3/3 - 26*f. What is q(p(s))? 96*s**2 Let y(b) = 52*b - 107*b + 51*b. Let a(r) = 18*r. Determine y(a(s)). -72*s Let h(g) = 7*g - 1 + 1 - 2*g. Let z(l) = l. Give z(h(o)). 5*o Let x(r) = 0*r + 7*r - 8*r + 0*r. Let k(m) = -3*m**2 + m**2 + 5*m**2. Calculate x(k(u)). -3*u**2 Let a(u) = u**2. Let j(o) = -1375*o**2. Give j(a(c)). -1375*c**4 Let q(u) = 2*u. Let x(w) = 335*w. Give x(q(z)). 670*z Let s(l) = -l**2 - 5*l. Let a(v) = v. Let q(r) = 4*a(r) + s(r). Let h(y) = -y. What is h(q(c))? c**2 + c Let b(c) = 2*c. Let a(s) be the first derivative of 2/3*s**3 + 0*s**2 + 0*s - 3. Determine b(a(k)). 4*k**2 Let j(w) = -8*w**2. Let f(s) = -11*s**2 + 3. What is j(f(q))? -968*q**4 + 528*q**2 - 72 Let r(k) = 2*k. Let n(l) = 3*l**2 + 5*l. Let w(a) = -12*a**2 - 21*a. Let u(g) = -21*n(g) - 5*w(g). Give r(u(o)). -6*o**2 Let p(j) = 6*j**2. Let k(u) = 11*u + 4*u - 4*u + u. Calculate p(k(t)). 864*t**2 Let f = 1/27 + 7/54. Let k(t) be the second derivative of 0 + 0*t**2 - t - f*t**3. Let y(a) = a. Give y(k(m)). -m Let y(p) = 3*p + 2. Let j(w) = 12*w + 9. Let l(k) = -2*j(k) + 9*y(k). Let r(c) = 2*c - 6*c + 3*c - c. Calculate r(l(h)). -6*h Let c(b) = b**2. Let q(l) be the first derivative of -l**2/2 - 5*l - 24. Calculate c(q(i)). i**2 + 10*i + 25 Let s(m) = -3*m - 2. Let c(w) = w + 1. Let b(u) = 2*c(u) + s(u). Let x(y) be the second derivative of 0 + 1/4*y**4 + 2*y + 0*y**3 + 0*y**2. What is b(x(p))? -3*p**2 Let t(j) = -3*j**2. Let l(w) = 5*w + 184. Determine t(l(g)). -75*g**2 - 5520*g - 101568 Let j(m) = -m + 9. Let u(l) = 2*l. Give j(u(q)). -2*q + 9 Let s(n) = 2*n**2. Let l(o) = -2*o - 96. Calculate s(l(q)). 8*q**2 + 768*q + 18432 Let f(j) = -3 + 3 - 31*j + 39*j. Let s(t) = -6*t**2. Give f(s(q)). -48*q**2 Let i(t) = t + 3. Let g(d) = d + 4. Let a be (-2 + 10/8)*4. Let q(o) = a*g(o) + 4*i(o). Let l(k) = -7*k. Determine l(q(x)). -7*x Let c(l) = 503*l**2. Let n(p) = -19*p**2. Give n(c(o)). -4807171*o**4 Let o(z) = -4*z**2. Let k(t) = -92*t**2. Let g(j) = -6*k(j) + 136*o(j). Let x(a) = -a**2. Give g(x(s)). 8*s**4 Let l(f) be the third derivative of -f**5/20 + 10*f**2. Let p(t) = -t + 47. Determine p(l(q)). 3*q**2 + 47 Let r(p) = 3288*p. Let v(o) = -2*o. Calculate v(r(d)). -6576*d Let t(a) = -2*a. Let m(l) = -3*l**2 - 2*l. Determine t(m(p)). 6*p**2 + 4*p Let r(l) = -26*l. Let s(j) = 13*j**2. What is s(r(v))? 8788*v**2 Let s(j) = -j**2. Suppose 5*n + 28 = -g, g + 2*n - 248 = 6*g. Let c be 1/(-3) + g/(-9). Let t(r) = -2*r**2 - c*r**2 + 3*r**2. Give t(s(x)). -4*x**4 Let o(w) = 2*w + 1. Let r(n) = 4*n. What is o(r(b))? 8*b + 1 Let k = 30 - 25. Let w(a) be the third derivative of 0*a**3 + 0 + 0*a + 0*a**4 + 1/12*a**k + 3*a**2. Let n(y) = -y. Give n(w(x)). -5*x**2 Let d(x) = 2*x**2 - 263. Let i(f) = -f**2. Calculate i(d(u)). -4*u**4 + 1052*u**2 - 69169 Let v(j) = -9*j. Let q(d) = 63*d. Let z(y) = 2*q(y) + 15*v(y). Let n(t) = 7*t. What is n(z(i))? -63*i Let k(q) = q + 0*q + 0*q - 3*q. Let h(p) be the third derivative of p**5/15 - 4*p**2. Calculate k(h(y)). -8*y**2 Let z = 23 - 8. Let t = -10 + z. Let b(l) = -5 + t + l. Let n(f) = 2*f**2. Give b(n(x)). 2*x**2 Let s(b) = -142*b. Let f(c) = -c - 6. Calculate f(s(p)). 142*p - 6 Let a(l) = 3*l**2. Let b(t) be the first derivative of t**3/3 - 31. Give b(a(r)). 9*r**4 Let f(x) = -x**2 - 14*x + 18. Let u be f(-15). Let q(n) be the third derivative of -1/8*n**4 + 0 + 0*n + 0*n**u - 2*n**2. Let h(b) = -b**2. What is q(h(i))? 3*i**2 Let w(q) = -1396*q. Let i(u) = 3*u**2. What is i(w(a))? 5846448*a**2 Let n(b) be the first derivative o
{ "pile_set_name": "DM Mathematics" }
ne q(u(l)). -464*l**2 Let j(s) be the third derivative of 0*s**4 + 11/5*s**5 + 0*s**3 + 0*s - 16*s**2 + 0. Let h(b) = -b**2. Determine h(j(w)). -17424*w**4 Let y(f) be the second derivative of 0*f**3 - 1/3*f**4 - 2 - 2*f + 0*f**2. Let k(g) = -3*g**2. What is y(k(r))? -36*r**4 Let l(v) = 11426299*v**2 + 2*v. Let f(i) = i**2. Determine l(f(k)). 11426299*k**4 + 2*k**2 Let c(x) be the second derivative of -x**4/12 - 3*x. Let m be (-5)/(-3) + -6*(-1)/18. Let k(r) = 4*r**m + 36*r**2 - 5*r**2 - 10*r**2. What is k(c(t))? 25*t**4 Let z(o) = -5*o. Let n(d) = -6500*d + 1380. Determine n(z(i)). 32500*i + 1380 Let g = -1927 + 2872. Let l(t) = g - t - 945. Let m(y) = 94*y**2 - y. Give m(l(j)). 94*j**2 + j Let x = -211 - -213. Let q(l) = x*l**2 + 10*l - 10*l. Let t(c) = 74*c. Determine q(t(u)). 10952*u**2 Let v(j) = 2424*j**2 + 6*j + 1. Let n(w) = -102*w. Calculate v(n(s)). 25219296*s**2 - 612*s + 1 Let q(o) = o**2 - 19. Let l(z) = -70*z - 754 + 754 + 37*z + 77*z. Determine q(l(i)). 1936*i**2 - 19 Let d(g) = -7*g + 19. Let h(l) = 18*l - 44. Let a(b) = -8*d(b) - 3*h(b). Let y(j) = -11*j**2. Determine a(y(f)). -22*f**2 - 20 Let o(x) be the first derivative of -x**3/3 - 7394. Let k(g) = -62*g**2 - 213*g**2 - 120*g**2. Determine o(k(z)). -156025*z**4 Let d(a) = 18*a**2 - 3*a. Let r(s) be the third derivative of 17 + 0*s + 1/12*s**4 + 0*s**3 - 7*s**2. What is d(r(m))? 72*m**2 - 6*m Let b(t) = 2*t. Let z(c) = 5*c**2 - 32*c - 198. Let p be z(-8). Let k(s) = p*s**2 + 3111 - 6221 + 3110. Determine k(b(w)). 1512*w**2 Let g(z) = 2*z**2. Suppose 10 = -0*c + 2*c. Let j(w) = c*w + 12*w + 3*w - 5*w. Determine g(j(u)). 450*u**2 Let s(k) = -1. Let u be 42*-1*15/(-10). Let c(w) = -3*w - 21. Let f be (1/(-2))/(0 - (-5)/30). Let z(t) = f*c(t) + u*s(t). Let i(p) = -2*p**2. Give i(z(q)). -162*q**2 Let j(v) = -1164*v. Let b(l) be the first derivative of 2*l**2 + 5830. Give j(b(p)). -4656*p Let i(m) = -2*m**2. Let t(j) = -123*j**2 - 92*j - 13. Let q(a) = -74*a**2 - 56*a - 8. Let f(v) = 13*q(v) - 8*t(v). What is f(i(n))? 88*n**4 - 16*n**2 Let u(x) = -3 - 4*x**2 + 4*x**2 + 9*x**2. Let y = -273 - -284. Let h(q) = -11 - 31*q + y + 15*q + 18*q. What is u(h(i))? 36*i**2 - 3 Let u(n) = 70*n**2 + 16*n. Let a(p) be the first derivative of p**2/2 + 2083. Give a(u(q)). 70*q**2 + 16*q Let m(l) = 33*l - 1. Let s(t) = -7*t**2 + 2*t + 1. Let u(p) = -25*p**2 + 8*p + 4. Let z(a) = 36*s(a) - 9*u(a). Determine z(m(d)). -29403*d**2 + 1782*d - 27 Let d(g) = -4*g**2. Let l(i) = -88180874*i**2. What is l(d(p))? -1410893984*p**4 Let h(i) = -2*i. Let t(p) = -16520*p**2 - p - 4. Determine h(t(q)). 33040*q**2 + 2*q + 8 Let w be 399/3990 + ((-1)/(-8))/((-15)/12). Let j(z) be the second derivative of 1/12*z**4 + w + 0*z**3 - 19*z + 0*z**2. Let g(x) = -4*x. Give j(g(l)). 16*l**2 Let f(t) = -142972346*t**2. Let b(o) = -o**2. Give b(f(c)). -20441091720743716*c**4 Let h(u) = -181 - 168 - 2*u**2 + 349. Let y(z) = 14*z - 4. Give h(y(j)). -392*j**2 + 224*j - 32 Let a(p) = 5*p. Let s(n) = 16*n - 28*n - 5*n + 10*n - 28 + 10*n. Give s(a(o)). 15*o - 28 Let n(a) = -1025*a**2. Let y(z) = 3*z**2 + 20*z + 4. Let b(u) = 102*u**2 + 690*u + 138. Let h(r) = -2*b(r) + 69*y(r). Give n(h(j)). -9225*j**4 Let x(q) = -2*q**2. Let v(o) = 343*o**2 - 3*o - 45944. Determine v(x(i)). 1372*i**4 + 6*i**2 - 45944 Let h(v) = 361*v. Let z(m) = -m**2 + 1624. Determine h(z(a)). -361*a**2 + 586264 Let o(m) = -m - 92. Let k(p) = -104*p**2 - 79*p + 3. What is o(k(a))? 104*a**2 + 79*a - 95 Let u(i) be the second derivative of -i**3/3 + 5*i. Let m(r) = 53*r + 41*r - 38*r + 10*r + 83*r. Determine m(u(k)). -298*k Let o(h) = -h + 31*h - 85*h - 8*h - h. Let r(k) = -44*k**2. Calculate r(o(q)). -180224*q**2 Let u(l) = -41*l + 1. Let q(h) = -245*h - 7. Let o(s) = -q(s) + 6*u(s). Let w(v) = -13*v**2. What is w(o(z))? -13*z**2 + 338*z - 2197 Let t(f) = 374*f**2. Suppose -16*i - 72519 = -367047. Let b(c) = i*c + c**2 - 18408*c. What is b(t(h))? 139876*h**4 Let w(r) = 4*r. Let k(i) be the third derivative of 2 + 0*i - 3/10*i**5 - 15*i**2 + 0*i**3 + 0*i**4. Determine w(k(q)). -72*q**2 Let y(z) = -3506*z + 7. Let d(w) = 258*w**2. Calculate y(d(m)). -904548*m**2 + 7 Let l(g) = 63*g + 167361. Let p(z) = 2*z. Give p(l(r)). 126*r + 334722 Let p(a) = 9*a**2. Let v(u) = 41*u**2 - 3*u**2 - 19*u**2 - 8*u**2 - 6*u**2. Determine v(p(x)). 405*x**4 Let x(b) = 6*b**3 - b**2 + b. Let c be x(1). Let q(n) = c*n - 5*n + 3*n + 2*n. Let a(d) be the second derivative of d**3 + d. Give q(a(m)). 36*m Let l(b) = 2*b**2 - 13*b + 77. Let s(q) = 4155*q. What is l(s(d))? 34528050*d**2 - 54015*d + 77 Let f(h) = -9*h. Let d(i) = 376*i**2 + 4*i - 8. Let k(x) = 34969*x**2 + 374*x - 748. Let a(w) = -187*d(w) + 2*k(w). What is a(f(y))? -30294*y**2 Suppose 0*r + 81567 = 19*r. Let g(o) = -2152*o + r*o - 2144*o. Let p(v) = 37*v**2. What is g(p(c))? -111*c**2 Suppose 80*f - 48 = 74*f. Let q(y) = -y - 9*y + f*y + 4*y. Let k(s) = 68*s**2 + 1. Let g(x) = x**2 - 1. Let j(r) = -g(r) - k(r). Calculate q(j(b)). -138*b**2 Let r(b) = b**2 + 9. Let u be (9 + 230/(-20))*(-8 - 0). Let s(p) = -9*p - 7*p - u*p + 41*p. Give r(s(w)). 25*w**2 + 9 Let v(m) = 238*m**2 - 4*m + 4. Let g(f) = 235*f + 14. Give g(v(q)). 55930*q**2 - 940*q + 954 Let y(m) = 67 - 827*m + 6 - 70. Let a(n) = -n. Give y(a(t)). 827*t + 3 Let t(z) = -2*z. Let x = -5173 - -5203. Let i(y) be the first derivative of 0*y**2 + 5/3*y**3 + 0*y - x. Determine i(t(s)). 20*s**2 Let x(b) = b**2. Let z be (-172)/(-3)*(-12)/(-8). Let h be (-258)/4*(-4)/3. Let t(c) = -z + h + 20*c. Calculate x(t(u)). 400*u**2 Let l(u) = -12*u**2 + 10*u**2 - 17*u**2. Let v(q) be the third derivative of -q**4/4 - 20026*q**2. Determine v(l(n)). 114*n**2 Let c(m) = 3*m. Let k(q) = 7074888*q**2. Give c(k(w)). 21224664*w**2 Let g(q) = -330*q**2. Let b(o) be the third derivative of -5*o**4/6 + 2*o**2 - 1745. Calculate g(b(p)). -132000*p**2 Suppose 0 = -3*m + 19 - 1. Let h(j) = -161*j + 23*j**2 - m*j**2 + 161*j. Let a(v) be the first derivative of v**3/3 + 9. Determine h(a(x)). 17*x**4 Let v(c) = 7533386*c**2. Let d(q) = 11*q**2. What is v(d(s))? 911539706*s**4 Let o(k) be the third derivative of -k**4/12 - 25*k**2. Let i(q) be the second derivative of q**3/6 + 24*q**2 - 113*q. What is o(i(x))? -2*x - 96 Let v(m) = -11*m - 516143 + 516143. Let k(o) = 560*o**2. What is k(v(h))? 67760*h**2 Let t(w) = 141*w**2. Let g(n) be the second derivative of -1/4*n**4 + 11 + n + 0*n**2 + 0*n**3. What is t(g(y))? 1269*y**4 Let p be (-1)/(-5) + (-390)/(-50). Let x = -5 + p. Let f(c) = -3 + 0 + x - 6*c. Let a(l) = 2*l**2. Calculate f(a(y)). -12*y**2 Let n(j) = 39*j**2 + 4*j - 4*j + 36*j**2. Let h(q) = 5912 - 5912 - q**2 + 0*q**2. Determine n(h(i)). 75*i**4 Let l(u) = 2*u**2 + 12*u. Let r(n) = 399*n + 1 + 0 - 1 - 351*n. What is l(r(k))? 4608*k**2 + 576*k Let u(j) = 94601570*j**2. Let c(k) = -14*k. What is u(c(s))? 18541907720*s**2 Let q(h) = -413*h - 1. Let c(t) = -81542*t. Give q(c(r)). 33676846*r - 1 Let u(b) be the first derivative of 0*b + 6*b**2 + 157 - 4/3*b**3. Let j(x) be the second derivative of x**4/12 - x. Calculate j(u(v)). 16*v**4 - 96*v**3 + 144*v**2 Let s(x) = 245*x - 475*x + 216*x. Let w(l) = 14*l. What is w(s(o))? -196*o Let a(m) = -65*m. Let j(p) = -17*p - 39*p - 32*p + 120*p - 12*p. Determine a(j(w)). -1300*w Let b(z) = z. Let u(r) be the first derivative of -124*r**3 + 249*r**3 - 126*r**3 - 52 - 37. What is u(b(s))? -3*s**2 Let t(y) = -224*y + 15 - 218*y + 449*y. Let z(w) = 3*w + 6. Let f(j) = -4*t(j) + 10*z(j). Let a(r) = -32*r**2 - 3*r. Calculate f(a(g)). -64*g**2 - 6*g Let q(c) = 2301*c**2 - 4118*c - 1. Let s(o) = -o. Determine q(s(n)). 2301*n**2 + 4118*n - 1 Let x(a) = 33902*a + 1. Let j(h) = -12*h. Give x(j(l)). -406824*l + 1 Let l(h) = 11*h**2 - h. Let c(b) be the third derivative of -b**4 + 1195*b**2. Give l(c(j)). 6336*j**2 + 24*j Let k(h) = -37*h**2 - h. Let z(o) = 11*o**2. Let c(d) = k(d) + 3*z(d). Let x(f) = -23*f**2. Give x(c(l)). -368*l**4 - 184*l**3 - 23*l**2 Let a(q) = 62*q**2. Let h(w) = -492501*w. Determine a(h(f)). 15038548570062*f**2 Let c(t) = -42093*t. Let a(y) = 581*y. Determine a(c(u)). -24456033*u Let l(p) = -9*p**2. Let g(v) be the second derivative of -19*v**4/6 - 630*v. What is l(g(o))? -12996*o**4 Let i(m) = -m**2. Let o(g) = 76402502*g. What is i(o(y)
{ "pile_set_name": "DM Mathematics" }
4*n = 3*i - 7. Let k(y) be the third derivative of -3*y**5/20 - y**4/24 - y**3/6 + 3*y**2. Determine k(n). -9 Let v(j) be the third derivative of j**6/120 - j**5/5 + j**4/2 - 7*j**3/6 - j**2. What is v(11)? 4 Let m(h) = h**3 + 8*h**2 + 8*h - 2. Let r be m(-7). Let y(i) = i**2 + 8*i - 7. Let p be y(r). Let l(b) = b**3 - 4*b**2 + 4*b - 3. Determine l(p). -3 Let b(u) = -11*u**2 - 2*u - 1. Let g(z) = z**3 - z + 1. Suppose 5*r - 5*m = 5, -4*r = -2*m - 0*m - 6. Let x be g(r). Suppose 2 - x = 5*o. Calculate b(o). -10 Let b(m) = -m**2 + 5*m. Let s(o) = o. Let n be s(1). Suppose 5*z - n = 29. Suppose v = -1 + z. Determine b(v). 0 Let w be 8/28 - (-57)/21. Let c(k) = -3*k - 2*k + k**3 + 1 + 5*k**2 + w + 3. Determine c(-6). 1 Let g(f) = f**3 - 12*f**2 + 10*f + 9. Let r be g(11). Let w be (0 + -3 - r)*4. Let c(t) = t**2 + 3*t + 3. Give c(w). 7 Let o(p) = p + p**2 + 3 - 4*p + 6*p + 3*p. Give o(-5). -2 Let o = 74 - 74. Let d(l) = -l**3 + l**2 - 6. Give d(o). -6 Let m(n) be the second derivative of -n**4/12 + 5*n**3/6 - 5*n**2/2 + 11*n. What is m(6)? -11 Let q(s) = 2 + 2*s**2 + 2*s**2 - s**3 - s**2 + 3*s**2. Let l be q(6). Let y(h) = 4*h. What is y(l)? 8 Let v(z) be the third derivative of z**5/60 + 7*z**4/24 - 7*z**3/6 + 4*z**2. Determine v(-6). -13 Let p(b) be the third derivative of -b**5/20 + b**3/6 + 29*b**2. Let k be 0 + 0 - (-1 - -1). Suppose v = -1 - k. What is p(v)? -2 Let r(f) = f**2 + 10*f + 2. Let q be r(-10). Let l(h) = 6 - 6*h - 1 + q - h**2. What is l(-6)? 7 Suppose -2*b = 9*b - 55. Let m(i) be the second derivative of 0 - i + 1/12*i**4 - 7/2*i**2 - 2/3*i**3. What is m(b)? -2 Let d(n) = 12*n + 1. Suppose 3*j = 7 - 4. Calculate d(j). 13 Suppose -24 = -0*l + 3*l. Let u = 3 + l. Let j(p) be the third derivative of p**4/24 - 2*p**3/3 + 2*p**2. What is j(u)? -9 Let g(w) = w**3 + w + 2*w**2 + 0*w**2 - 4*w + 2*w. Suppose 0 = 4*j + 12, -2*m - 2*j - 9 = -j. Calculate g(m). -6 Let f(x) = -2 + 1 + 3 - x. Suppose 0 = 4*j + b - 32, 3*j - 7 = 3*b + 2. Suppose p + j*r + 24 = 3*r, -4*p - 3*r - 31 = 0. Determine f(p). 6 Let o(p) = -2*p**2 - 6*p + 2 + 4 + p**2 - 3. Calculate o(-7). -4 Let s(t) = t + 3. Let y = 22 - 26. Give s(y). -1 Let x(f) be the first derivative of 2*f**2 + 2*f - 25. Calculate x(-3). -10 Let s(x) be the third derivative of x**4/24 - x**3/6 + 20*x**2. Give s(-6). -7 Let h(c) = c**2 + 5*c + 2. Let v = 9 - 11. Determine h(v). -4 Suppose 3*q - 7*q - 28 = 5*f, 4*f + 4*q = -24. Let b(v) = v - 4. What is b(f)? -8 Let a = -77 + 81. Let l(i) = i**2 - 3*i - 5. Determine l(a). -1 Suppose 0 = 3*r - 3 + 9. Let t(q) = -3*q - 3. Let n(d) = -4*d - 4. Let v(j) = r*n(j) + 3*t(j). Let x be v(2). Let o(c) = -c**2 - 5*c - 3. Determine o(x). 3 Let q(w) = w - 2. Let g be q(-2). Let x(k) = -k + 1. Let y(d) = -6*d + 4. Let t(o) = -4*x(o) + y(o). Calculate t(g). 8 Let p = 37 + -33. Let t(o) be the first derivative of -o**4/4 + 5*o**3/3 - o**2/2 - 2*o - 1. Determine t(p). 10 Let w(d) = d**3 - 6*d**2 + 2. Let b(t) = 2*t**3 - 7*t**2 + 3. Let f(r) = -2*b(r) + 3*w(r). Give f(-4). 0 Let g be (4/(-4))/(10/4 + -2). Let f(o) = o**2 - 3*o - 1. What is f(g)? 9 Let c(h) = -5*h - 2 - 4*h + h + 7*h. Calculate c(-5). 3 Let j(v) = v**3 + 17*v**2 + 17*v + 22. Let n be j(-16). Let q(z) = z**3 - 5*z**2 - 10*z + 7. Determine q(n). -17 Let f(n) be the second derivative of -n**3/6 + 3*n**2 + 40*n. Let k be (-15)/4 + 2/(-8). Let p be (-84)/(-16) - (-1)/k. Give f(p). 1 Let i = -8 + 3. Let c(h) = 2*h + 2. Let t be c(i). Let v(m) = m**2 + 9*m + 2. What is v(t)? -6 Let p(c) = c**2 + 7*c - 2. Let r(v) = 2*v**2 + 14*v - 4. Let n(s) = 7*p(s) - 4*r(s). What is n(-6)? 8 Let x(p) = 6*p + 4*p + p - 4*p - 1 - 3*p**2. Let q(h) = -7*h**2 + 15*h - 2. Let a(f) = 2*q(f) - 5*x(f). What is a(4)? -3 Let j be (0 - -1)*2 + 0. Let v(z) be the second derivative of z**4/12 - z**2/2 - 5*z. Let t(m) = 2*m**2 - 3*m. Let a(w) = -t(w) + 3*v(w). Give a(j). 7 Let w(k) = 5 + 3 - 4 - 1 - k. Let y = -4 - -10. Let m(f) = 3*f - 5. Let l(x) = y*m(x) + 10*w(x). Give l(1). 8 Let y(u) = u**2 - u - 2. Suppose -5*t + o + 6 + 8 = 0, -t + 6 = -o. Determine y(t). 0 Let d = -8 - -19. Let q be (-42)/11 - 2/d. Let s = 9 + q. Let w(v) = -v**2 + 5*v - 6. What is w(s)? -6 Let j = -12 + 17. Let t = -3 + j. Let l(w) = w**t + 3 - w**2 + 3*w + w**3 - w + 4*w**2. What is l(-4)? -5 Let g = -3 + 8. Suppose g*m = -f + 7 + 22, 5*f + m = 25. Suppose f - 2 = -2*y. Let t(p) = p**3 - p - 1. Determine t(y). -1 Let u = 8 - 8. Let n(m) = -m. Let r(z) = -z**3 - 5*z + 6. Let v(j) = 6*n(j) - r(j). Give v(u). -6 Suppose -20 = -3*w - 14. Let r(z) = 3*z**2 - z + 4*z**2 - 3*z**2 - z**3. Give r(w). 6 Let u(n) = n**3 - 5*n**2 + 5*n - 1. Suppose 0 = c + 3 - 7. Determine u(c). 3 Suppose 0 = -11*q + 8*q + 21. Let r(g) = 2*g - 4. Calculate r(q). 10 Let o(i) be the first derivative of 0*i + 0*i**2 + 2 - 1/3*i**3 - 1/120*i**5 - 1/12*i**4. Let t(d) be the third derivative of o(d). What is t(-3)? 1 Let p(h) = h**3 + 3*h**2 - 1. Suppose 4*z = 5*u - 27, 2*u = u + 5*z + 18. Let j be 0 + u + -6 + 1. Determine p(j). 3 Let u(v) = 5*v**2 + v - 5. Suppose -3*n - 4 = -4*n. Let k(r) = -4*r**2 - 2*r + 4. Let l(c) = n*k(c) + 3*u(c). Determine l(-4). 5 Let u(k) = -14*k**3 - 5*k**2 - 14*k + 6. Let a(i) = -5*i**3 - 2*i**2 - 5*i + 2. Let b(m) = 17*a(m) - 6*u(m). Let o = 6 + -10. Give b(o). 2 Suppose 2*c - 2 - 4 = 0. Suppose -p = j + 4, -16 = c*p - p - 2*j. Let y(b) = b + 6. Calculate y(p). 0 Let w(i) be the first derivative of i**3/3 - 5*i**2/2 - 7*i - 6. Determine w(5). -7 Let l(k) = -1. Let u(y) = -4*y - 5. Let j(v) = -4*l(v) + u(v). Determine j(-1). 3 Let h(a) = -a**3 + 4*a**2 + 6*a - 7. Suppose -b - 1 = 1. Let i(v) = -4*v - 3. Let q be i(b). Give h(q). -2 Let j(m) = m**2 - 9*m + 5. Let g be j(8). Let z(l) be the first derivative of 1/3*l**3 + 3/2*l**2 - 1 + 3*l. Calculate z(g). 3 Let f(s) = 2*s**2 - s + s**3 + 3 - 1 + 2. What is f(-3)? -2 Let t(j) = -j**2 - j - 3. Let i be (-2 - -1)*0/3. Give t(i). -3 Let c(h) = -h**3 - 5*h**2 + 7*h + 9. Let w = 18 - 24. Determine c(w). 3 Let s(y) = -10*y + 2 + 4*y**2 + 12*y + y**3 + 1 - 8*y. Determine s(-5). 8 Let s(z) = z - 2. Let r be s(5). Let d(b) be the first derivative of -r*b**2 + 3 + 5*b + 1/3*b**3. What is d(5)? 0 Let x(l) = l**2 - 10. Let t(o) = 2*o**2 - 10. Let p(c) = 2*t(c) - 3*x(c). Let i(h) = 2*h**2 + 11. Let r(m) = 2*i(m) - 3*p(m). Determine r(0). -8 Let a(v) = 11*v**2 + 24*v + 35. Suppose t + 5*u + 5 = 3*u, u = 0. Let g(c) = -7*c**2 - 16*c - 23. Let h(j) = t*a(j) - 8*g(j). Determine h(-7). 2 Let g(z) = z**3 + 5*z**2 + z - 5. Let o be (0 - -2) + 3 - -2. Suppose -5*a - 32 = -o. Give g(a). -10 Suppose -4*o + 5 + 11 = 0. Suppose o - 19 = -5*l. Let b(r) = -r**3 + 3*r**2 + r + 3. What is b(l)? 6 Let p(m) = 4*m**2 - 4*m. Let a(h) = -5*h**2 + 4*h + 1. Let f(t) = -3*a(t) - 4*p(t). Let x = 5 - 3. Determine f(x). 1 Let w(o) = 4*o - 4*o**2 - 3*o + 7*o**2 + 0*o. Let q = -3 - -3. Suppose q = -y - 3*y + 4. What is w(y)? 4 Suppose 10 = 5*q - 0. Let b(g) = -20*g**2 - 6*g + 9. Let c(v) = -7*v**2 - 2*v + 3. Let l(j) = -6*b(j) + 17*c(j). Calculate l(q). 5 Suppose y - 25 = -4*y. Let h(q) = -14*q**2 + 5*q - 3. Let o(d) = -21*d**2 + 7*d - 4. Let j(s) = y*o(s) - 7*h(s). Let z = -10 + 11. Determine j(z). -6 Let g(n) = -2*n + 6. Suppose -46 = -11*x + 31. Determine g(x). -8 Suppose 0 = -i + 4 - 2. Suppose 10 = 4*a - i*a. Let v(y) = -6*y - y**2 + 2*y**2 - 3 + y. What is v(a)? -3 Suppose 0 = 4*x + x. Let n(p) = x*p + 0*p + p + 2*p. Give n(-1). -3 Let f(r) = -5*r - r**2 + 2*r - 4*r - 4. Let p(h) = h**3 - h**2 - 3*h - 3. Let a be p(3). Suppose z + 3*c = -14, -a*z + 3*c = -z + 16. What is f(z)? 6 Let t(j) = j**3 + j**2 - 3*j - 3. Suppose -16 = 2*g + 5*x, 5*g - 6 = -x - 0. Let q(m) = -m**3 - m**2 + 4*m + 4. Let c(b) = g*q(b) + 3*t(b). What is c(-2)? -3 Let f(h) = 30 - 67 - 4*h + 34 - 2*h**2. Determine f(-2). -3 Let q(g) = -g + 2*g + g + 1 + g. Give q(2). 7 Let r(v) = -11*v**3 + v**2 - 7*v - 1. Let m(n) = 10*n**3 - n**2 + 6*n + 1. Let b(s) = -7*m(s) - 6*r(s). Determine b(1). -4 Let q be 3 + -3 - (1 + -4). Let o(a) = -2*a**2 + 4*a - 3. Give o(q). -9 Let i(t) = 2*t - 1. Let o = -20 - -13. Let r = o + 6. Give i(r). -3 Let y(j) = -8*j**2 - 8*j. Let x(s) = -s**2 - s. Let i(v) = -10*x(v) + y(v). What is i(-2)? 4 Let w = -2 + 5. Let j(s) be the second derivative of -s
{ "pile_set_name": "DM Mathematics" }
e of 0*c + 3 + 0*c**2 + 1/3*c**3. Let y(p) = p. Determine y(a(u)). u**2 Let v(y) = 2*y. Let j(u) = 19*u**2 - 24*u**2 + 21*u**2. What is j(v(o))? 64*o**2 Let q(c) = -7*c**2. Let i(s) = -3*s**2. Give i(q(j)). -147*j**4 Let k(m) = -m**2. Let j(p) be the second derivative of 4*p**3/3 - 10*p. What is k(j(i))? -64*i**2 Let s(q) = q. Let v(m) = -2*m + 0*m - m. What is v(s(x))? -3*x Let u(d) = -3*d - 231. Let w(h) = 2*h**2. Give w(u(x)). 18*x**2 + 2772*x + 106722 Let k(n) be the second derivative of 11*n**4/12 - 2*n. Let c(v) = -5*v**2 - 7*v. Let i(f) = -4*f**2 - 6*f. Let u(q) = 6*c(q) - 7*i(q). Determine u(k(a)). -242*a**4 Let a(c) be the second derivative of -3*c + 0 + 0*c**2 + 0*c**3 + 1/6*c**4. Let o(r) = -15*r. Calculate o(a(v)). -30*v**2 Let j(i) = -10*i**2. Let u(o) = -o**2 - 3. Calculate u(j(x)). -100*x**4 - 3 Let t(x) = 2*x**2. Let l(b) = -b**2 + 140*b. Calculate t(l(z)). 2*z**4 - 560*z**3 + 39200*z**2 Let g(a) = -2*a**2 - 3*a. Let t(v) = 3*v - 6. Let p be t(3). Let u(n) = 3*n**2 + 4*n. Let h(o) = p*u(o) + 4*g(o). Let j(s) = -5*s. What is h(j(b))? 25*b**2 Let p(g) = g**2 - 305*g + 305*g + 0*g**2. Let o(w) = -3*w. Determine o(p(t)). -3*t**2 Let u(j) be the second derivative of j**4/12 + 16*j. Let h(m) = -m - 6. Let k(i) = i + 5. Let x(a) = 5*h(a) + 6*k(a). Give u(x(g)). g**2 Let i(y) = 11*y. Let g(l) be the third derivative of -l**5/60 - 6*l**2. What is i(g(d))? -11*d**2 Let q(w) be the second derivative of -w**4/12 - 4*w. Let p(j) = -8*j. Calculate p(q(y)). 8*y**2 Let y(m) = -4*m**2. Let v(o) = 11*o**2. Let c(x) = 22*x**2. Let t(g) = -6*c(g) + 11*v(g). Calculate t(y(d)). -176*d**4 Let y(o) = 3*o. Let m(l) be the first derivative of l**3 + 5. Give y(m(s)). 9*s**2 Let w(c) = -c**2. Let t(g) = 54*g - 26*g + 21*g**2 - 28*g. What is w(t(j))? -441*j**4 Let z(o) be the second derivative of -7*o**4/2 + 3*o. Let i(t) = 2*t. Determine i(z(r)). -84*r**2 Let q be ((-6)/4)/((-6)/8). Let l(v) = 19*v**2 - 13*v**2 - 14*v**q. Let a(g) = -g**2. Determine l(a(t)). -8*t**4 Let b(g) = -g. Let q(s) = -4870 + 4870 + 5*s. Give q(b(w)). -5*w Let h(m) = -23*m. Let f(y) be the first derivative of 2*y**3/3 - 9. Determine h(f(n)). -46*n**2 Let p(l) = 10*l + 55. Let h(o) = 4 - 2*o + 3*o + 2. Let v = -7 - -13. Let t(u) = v*p(u) - 55*h(u). Let k(j) = j. Determine k(t(g)). 5*g Let n(l) = -8426*l**2. Let s(g) = -g**2. Give n(s(u)). -8426*u**4 Let u(z) = 5*z + 3. Let c(g) = -44*g - 26. Let p(o) = -6*c(o) - 52*u(o). Let d(q) = 6*q. What is p(d(a))? 24*a Let d(j) = j**2. Let y(s) = 2471*s**2. Give y(d(i)). 2471*i**4 Let b(d) = 4*d. Let i(h) be the third derivative of -h**4/6 - 23*h**2. Determine b(i(w)). -16*w Let j(o) = 726*o - 88. Let d(l) = 25*l - 3. Let c(t) = 88*d(t) - 3*j(t). Let n(y) = 7*y - 18*y + 10*y. Calculate n(c(r)). -22*r Let g(q) = -8*q**2. Let f(m) be the second derivative of -m**4/12 - 32*m. What is f(g(l))? -64*l**4 Let g(k) be the third derivative of 0*k + 0 + 0*k**3 - 4*k**2 - 1/24*k**4. Let r(m) = -m - 1 + 1. Determine g(r(a)). a Suppose 3 + 2 = l. Let m(f) = 5 - 2*f - l. Let z(v) = -v. Let t(d) = -d. Let r(c) = 5*t(c) - 6*z(c). Give m(r(i)). -2*i Let v(i) = 2*i**2. Suppose -p = 2*k - 2 + 3, 2*k = -2*p - 6. Let d(x) = -11*x**2 + 4 + 10*x**k - 4. Calculate d(v(n)). -4*n**4 Let o(s) = -39*s**2 - 2. Let h(p) = p**2. What is o(h(f))? -39*f**4 - 2 Let k(z) = -4 + 2 + 2 + 2*z**2. Let f(s) = s. Calculate f(k(n)). 2*n**2 Let d(j) = -703*j - 3. Let a(z) = -2*z. Calculate d(a(n)). 1406*n - 3 Let o(i) = 2*i. Let t(c) = 1. Let q(u) = 32*u + 6. Let x(b) = -q(b) + 6*t(b). Give x(o(d)). -64*d Let k(a) = -15*a. Let t(x) = -6*x**2 + 3*x**2 + 3*x**2 - 2*x**2. What is k(t(p))? 30*p**2 Let j(o) = -3*o**2. Let u(b) = -5*b**2 + 4*b + 4. Let i(r) = -10*r**2 + 7*r + 7. Let l(f) = -4*i(f) + 7*u(f). What is j(l(y))? -75*y**4 Let b(k) = 15*k + 7. Let y(h) = -3*h. What is y(b(n))? -45*n - 21 Let h(x) = 36*x**2 - 16*x**2 - 19*x**2. Let z(v) = -v - 2. Let n(o) = 4*o + 9. Let w(q) = -2*n(q) - 9*z(q). Give h(w(b)). b**2 Let u(p) = 17*p**2. Let h(d) = 917*d. Calculate u(h(a)). 14295113*a**2 Let y(u) = 11*u. Let c(z) = -2*z**2 - 31*z. Calculate y(c(l)). -22*l**2 - 341*l Let d(p) = 3*p. Let i(q) = 2*q**2 + 6. Let n(m) = -3*m**2 - 12. Let f(a) = 11*i(a) + 6*n(a). Let z(j) = j**2 - 1. Let t(l) = f(l) - 6*z(l). Determine d(t(s)). -6*s**2 Let i(a) = -2*a. Let y(v) = -7*v + 8*v - 4*v - 4*v. Determine i(y(k)). 14*k Let k(j) = 2. Let n(h) = -35*h - 280. Let w(g) = 140*k(g) + n(g). Let f(c) = 2*c**2. Calculate f(w(q)). 2450*q**2 Let j(h) = -4*h. Let r(m) be the first derivative of m**3 + 11. Calculate j(r(f)). -12*f**2 Let y(b) = -10*b**2. Let g(j) be the third derivative of -j**4/24 + 3*j**2. Give g(y(t)). 10*t**2 Let z(m) = 4*m - 6*m + 3*m. Let l(o) = 3 - 3 + 4*o. What is z(l(c))? 4*c Let f(p) = -2*p. Let i(b) = -9*b**2 - 2085*b + 2085*b. What is f(i(o))? 18*o**2 Let x(r) = r. Let j(v) = -14 + 14 + 5*v. Let y(n) = 2*j(n) - 9*x(n). Let s(a) = a. Determine s(y(d)). d Suppose -2 = r - 4. Let z(s) = 3*s**r - 7*s**2 - 3*s**2. Let v(a) = -a - 2 - 3 + 5. Calculate z(v(u)). -7*u**2 Let k(a) be the second derivative of 0*a**2 + a + 0 + 0*a**3 + 1/6*a**4. Let o(h) = -3*h. Determine o(k(i)). -6*i**2 Let t(s) = -12*s - 4. Let q(z) = -10*z**2. Determine t(q(y)). 120*y**2 - 4 Let d(n) = -2*n. Let h(o) be the first derivative of 1 + 0*o**2 + 0*o - 2/3*o**3. Give h(d(i)). -8*i**2 Let o(y) = 4*y. Suppose -j + 2*i = 12, -5*j + 5*i - 28 = -3*j. Let d = j + 8. Let w(b) = 2*b**2 - d*b + 4*b. What is o(w(r))? 8*r**2 Let p(t) = -4*t**2 + 5*t. Let q(f) be the third derivative of -f**5/60 - 9*f**2 - 2*f. What is q(p(c))? -16*c**4 + 40*c**3 - 25*c**2 Let q(g) = 3*g. Let o(r) be the third derivative of -r**5/120 + r**3/3 - 3*r**2. Let p(d) be the first derivative of o(d). Calculate p(q(a)). -3*a Suppose -s = 4*z - 19, 0 = z - 4*s - 1 - 25. Let g(r) = 3*r - z*r + 2*r. Let y(m) be the first derivative of 2*m**2 - 2. What is y(g(w))? -4*w Let z(m) = -2*m**2. Suppose 3*w = -0 + 18. Let p(n) = -6*n - w - 7 + 13. Give p(z(b)). 12*b**2 Let p(o) = 27*o + 2. Let f(w) = w. Calculate f(p(y)). 27*y + 2 Suppose 2 = -5*c + 12. Let f(u) = 2*u**2 - u**2 + u**c. Let g(j) = -5092 + 5092 - 9*j. Give g(f(d)). -18*d**2 Let v(d) = -d. Let b(g) = -g**2 + 5*g + 5. Let k(w) = -3*w**2 + 12*w + 12. Suppose -2*o = 3*o + 25. Let p(t) = o*k(t) + 12*b(t). Give p(v(q)). 3*q**2 Let r(x) = -10*x. Let j(z) = 1. Let o(q) = 2*q + 0*q + 2 - 3*q. Let s(k) = -2*j(k) + o(k). What is s(r(u))? 10*u Let x = -111 - -114. Let h(a) be the second derivative of 0*a**2 + 0 + 2*a + 0*a**x - 1/12*a**4. Let v(t) = -t**2. Determine h(v(b)). -b**4 Let x(l) be the first derivative of l**5/30 + 2*l**2 - 2. Let u(m) be the second derivative of x(m). Let f(a) = a**2. Give u(f(i)). 2*i**4 Let f(k) = -k. Let s(m) = -6422*m. Give s(f(j)). 6422*j Let n(p) = 2*p**2. Let c(i) be the third derivative of 0*i - 4*i**2 + 0 + 11/24*i**4 + 0*i**3. Give c(n(a)). 22*a**2 Let u(o) = -3*o**2. Let h = -35 + 38. Let w(j) be the third derivative of 0*j + 1/30*j**5 + 3*j**2 + 0*j**4 + 0*j**h + 0. What is w(u(z))? 18*z**4 Let c(x) be the second derivative of -x**4/6 - 37*x. Let w(a) = -2*a + 1. What is w(c(u))? 4*u**2 + 1 Let d(f) = 13*f + 3. Let y(i) = -13*i - 2. Let u(r) = 2*d(r) + 3*y(r). Let n(p) = -3*p**2. Give n(u(k)). -507*k**2 Let w(j) = 1. Let i(s) = -2*s**2 - 2. Let b(u) = -i(u) - 2*w(u). Let h(l) = -6*l**2 - 4. Let n(p) = 7*p**2 + 5. Let f(x) = 5*h(x) + 4*n(x). Determine b(f(v)). 8*v**4 Let m(z) = 3*z. Let g(l) = -45*l + 10. Determine m(g(u)). -135*u + 30 Let z(x) = -x**3 - 8*x**2 - 8*x + 2. Let r be z(-6). Let c be (-128)/r - (-4)/22. Let o(v) = -c*v**2 + 2*v**2 + v**2. Let s(w) = 2*w. Determine s(o(u)). -6*u**2 Let g(l) = 34*l + 16. Let b(i) = 11*i + 5. Let p(q) = 16*b(q) - 5*g(q). Let y(t) = t. What is y(p(x))? 6*x Let o(c) = -4*c. Let h(r) = -3*r**2 + 8*r. Give o(h(g)). 12*g**2 - 32*g Let n(x) be the second derivative of 5*x**3/6 - 5*x**2/2 + 3*x. Let o(q) = 3*q - 2. Let a(z) = -2*n(z) + 5*o(z). Let h(j) = 2*j**2. What is h(a(r))? 50*r**2 Let h(i) = -5*i**2. Let g(x) = -19*x. Calculate h(g(y)). -1805*y**2 Let m(u) = -1137*u**2. Let a(s) = s**2. Give m(a(w)). -1137*w**4 Let s(v) = -2*v. Suppose p - 8 = 10. Let c(h) = -11*h + p*h - 9*h. Give c(s(o)). 4*o Let c(j) = j. Let l(i) = -2122*
{ "pile_set_name": "DM Mathematics" }
lse Is 31 a factor of 2483162? True Does 25 divide 222596? False Is 86 a factor of 1351521? False Is 80 a factor of 162495? False Does 2 divide 56587? False Is 366 a factor of 644799? False Does 3 divide 38397? True Is 155 a factor of 218861? False Does 17 divide 1962760? False Is 95 a factor of 273290? False Does 255 divide 310443? False Is 1131450 a multiple of 57? True Does 204 divide 1573452? True Is 429715 a multiple of 11? True Does 279 divide 275439? False Is 30683 a multiple of 115? False Is 92064 a multiple of 48? True Does 745 divide 9822759? False Is 625 a factor of 145000? True Is 138339 a multiple of 20? False Does 34 divide 9634886? True Is 7 a factor of 1628455? False Does 403 divide 699166? False Is 10 a factor of 1347744? False Is 392273 a multiple of 20? False Is 176984 a multiple of 18? False Is 75020 a multiple of 44? True Is 125983 a multiple of 13? True Is 20 a factor of 2900960? True Is 677731 a multiple of 30? False Is 228 a factor of 4476636? False Is 46 a factor of 217241? False Does 225 divide 109575? True Is 55770 a multiple of 143? True Is 225262 a multiple of 59? True Is 4905568 a multiple of 37? False Is 4265070 a multiple of 15? True Does 8 divide 22768? True Is 1298 a factor of 1242186? True Is 231030 a multiple of 151? True Is 3050416 a multiple of 166? True Is 411 a factor of 516216? True Is 105 a factor of 1110264? False Is 10710 a multiple of 3? True Is 395 a factor of 200382? False Is 284739 a multiple of 91? True Is 1849940 a multiple of 12? False Is 6208646 a multiple of 1245? False Is 68030 a multiple of 7? False Does 84 divide 141133? False Is 174 a factor of 9344? False Does 7 divide 2298786? True Is 22 a factor of 40043? False Is 123 a factor of 85239? True Does 292 divide 6492851? False Is 172 a factor of 638016? False Does 121 divide 202528? False Does 397 divide 1016320? True Does 274 divide 1749094? False Is 218448 a multiple of 9? True Is 110 a factor of 323091? False Is 631968 a multiple of 348? True Is 566989 a multiple of 21? False Is 14 a factor of 101556? True Does 18 divide 680311? False Does 562 divide 4377466? False Is 1824 a multiple of 38? True Is 1098 a factor of 5399964? True Is 16 a factor of 71805? False Does 33 divide 4811037? True Is 176891 a multiple of 17? False Is 2 a factor of 551389? False Is 448 a factor of 117824? True Is 538 a factor of 3548847? False Is 56 a factor of 498053? False Does 54 divide 7317702? True Does 5 divide 155867? False Is 2400378 a multiple of 1747? True Is 11746 a multiple of 14? True Does 7 divide 13091? False Is 4 a factor of 7205? False Does 36 divide 609696? True Is 11 a factor of 79345? False Is 1116483 a multiple of 54? False Is 8 a factor of 22878? False Is 608220 a multiple of 436? True Is 40 a factor of 270740? False Is 5789628 a multiple of 417? True Is 5603033 a multiple of 61? True Is 418324 a multiple of 4? True Is 359 a factor of 184885? True Is 1668333 a multiple of 9? False Is 6188968 a multiple of 9? False Does 38 divide 204887? False Is 27 a factor of 29866? False Does 18 divide 2193804? True Is 69 a factor of 902727? True Does 905 divide 1087810? True Is 239505 a multiple of 105? True Is 1446 a factor of 4982916? True Does 843 divide 3886252? False Is 1829088 a multiple of 348? True Is 1674963 a multiple of 11? False Does 10 divide 10076? False Is 550487 a multiple of 17? False Is 78 a factor of 476658? True Is 30940 a multiple of 52? True Is 80 a factor of 1313600? True Is 2 a factor of 566730? True Does 61 divide 215696? True Does 56 divide 1087800? True Is 2006940 a multiple of 498? True Is 271 a factor of 61246? True Does 104 divide 3329768? True Does 56 divide 345016? True Is 23470 a multiple of 3? False Does 310 divide 10458470? True Is 1848631 a multiple of 26? False Does 14 divide 249201? False Is 2270884 a multiple of 166? False Does 121 divide 11315355? False Is 61 a factor of 874618? True Is 9 a factor of 220788? True Is 64 a factor of 345511? False Does 77 divide 160776? True Is 13 a factor of 248421? False Is 411860 a multiple of 4? True Is 18522000 a multiple of 630? True Does 9 divide 45180? True Is 30251 a multiple of 13? True Is 10977005 a multiple of 156? False Does 66 divide 203412? True Is 27 a factor of 381891? False Does 52 divide 3370224? True Is 5 a factor of 9720? True Is 2 a factor of 308737? False Is 8262 a multiple of 61? False Does 416 divide 7737306? False Is 913115 a multiple of 931? False Is 297560 a multiple of 173? True Is 165642 a multiple of 181? False Is 973350 a multiple of 150? True Does 272 divide 322048? True Is 127004 a multiple of 9? False Is 213 a factor of 264482? False Does 213 divide 25635828? True Is 32530 a multiple of 10? True Is 21 a factor of 3401133? False Is 118663 a multiple of 7? False Does 5 divide 2113578? False Is 157 a factor of 489997? True Does 21 divide 242718? True Does 136 divide 116662? False Is 87 a factor of 50547? True Is 182 a factor of 3173288? False Is 152 a factor of 97550? False Is 30 a factor of 188670? True Is 1680 a multiple of 12? True Is 44 a factor of 983073? False Is 424925 a multiple of 23? True Does 61 divide 66405? False Is 437813 a multiple of 29? True Is 223400 a multiple of 40? True Does 98 divide 92352? False Does 385 divide 49968? False Is 83258 a multiple of 203? False Is 13 a factor of 374645? False Is 108283 a multiple of 388? False Is 383360 a multiple of 8? True Does 14 divide 8461544? True Is 9 a factor of 466200? True Is 547310 a multiple of 239? True Is 405 a factor of 164593? False Does 413 divide 15034439? True Does 400 divide 4297200? True Is 128 a factor of 307070? False Is 122 a factor of 92331? False Is 399087 a multiple of 192? False Is 200 a factor of 162600? True Is 840 a factor of 3507878? False Is 541 a factor of 2142901? True Is 987624 a multiple of 172? True Is 1280 a factor of 18551040? True Is 177 a factor of 8142? True Does 7 divide 364120? False Does 1154 divide 5326864? True Is 210056 a multiple of 28? True Is 45 a factor of 251420? False Is 5279700 a multiple of 310? False Is 146 a factor of 3645907? False Is 334 a factor of 19488? False Does 10 divide 345530? True Is 2576629 a multiple of 103? False Does 29 divide 1635359? False Is 90182 a multiple of 121? False Is 5614500 a multiple of 25? True Is 5659853 a multiple of 1271? False Is 50 a factor of 1254317? False Is 47 a factor of 4363339? True Does 28 divide 6440? True Does 22 divide 300344? True Is 18 a factor of 58093? False Does 481 divide 122655? True Is 368212 a multiple of 22? False Is 2805443 a multiple of 93? False Does 271 divide 447421? True Does 10 divide 260590? True Is 376090 a multiple of 55? True Is 692788 a multiple of 386? False Is 395640 a multiple of 60? True Is 184084 a multiple of 8? False Is 667102 a multiple of 43? True Is 50 a factor of 85626? False Does 231 divide 140569? False Does 11 divide 84304? True Does 147 divide 886236? False Is 80117 a multiple of 113? True Is 189 a factor of 2281797? True Is 101 a factor of 10722014? False Does 149 divide 128596? False Is 22 a factor of 355938? True Is 20 a factor of 128680? True Is 1449375 a multiple of 25? True Does 70 divide 1715700? True Is 539941 a multiple of 37? True Is 2749911 a multiple of 123? True Is 955620 a multiple of 4? True Is 95 a factor of 6285712? False Is 681208 a multiple of 17? False Does 292 divide 725036? True Is 11874 even? True Is 120 a factor of 1223150? False Is 16 a factor of 256? True Does 66 divide 109981? False Does 120 divide 21960? True Is 170496 a multiple of 96? True Is 3630 a multiple of 30? True Does 130 divide 175240? True Is 2684416 a multiple of 8? True Does 37 divide 9731? True Does 21 divide 2966223? False Does 377 divide 680461? False Is 18 a factor of 12485228? False Is 15 a factor of 52422? False Does 1423 divide 21200443? False Is 12 a factor of 1248? True Is 453781 a multiple of 95? False Is 627837 a multiple of 91? False Is 280126 a multiple of 22? True Does 45 divide 114120? True Is 42 a factor of 75096? True Is 6 a factor of 40830? True Does 255 divide 555390? True Does 542 divide 237384? False Does 948 divide 8406864? True Does 34 divide 63546? True Is 3 a factor of 24861? True Is 462 a factor of 320913? False Does 144 divide 2432700? False I
{ "pile_set_name": "DM Mathematics" }
+ 28*d in the form c + v*d and give c. 0 Express -3 + 33981*z - 16980*z - 17059*z + 3 in the form t*z + h and give t. -58 Express (4*j**4 - 2*j**4 - j**4)*(3 + 2 - 3)*(0 - 3 + 5)*(-1 - 2 - 3) in the form q*j**4 + d + i*j**2 + s*j**3 + l*j and give q. -24 Express (2*n - 2*n + n**2)*(-6*n - 64*n + 428*n + 456*n)*(2 - 2 + 3*n) in the form o*n + l*n**3 + m*n**2 + t + x*n**4 and give x. 2442 Rearrange 15 - 11*j - 3*j**4 - 12 + 12*j + 19*j**4 - 2*j**2 to the form b + k*j + c*j**2 + h*j**4 + t*j**3 and give c. -2 Express -2*a**3 - 2*a**3 + 3*a**3 + (-118 + 19 - 8)*(753*a - 753*a - 26 + a**3) in the form g*a**3 + v*a + w*a**2 + n and give n. 2782 Express -13*h**2 + 2*h**2 + 44*h - 14*h**2 - 25*h as s*h + x + j*h**2 and give j. -25 Rearrange 0 - 2*p**4 - 5943*p**3 + 2*p - 1 + 5941*p**3 - 6*p**2 to the form t*p + j*p**2 + m*p**3 + l*p**4 + s and give m. -2 Rearrange (221 - 405 + 333)*(0*y**2 + 5*y**2 - 2*y**2) to the form m*y + d + f*y**2 and give f. 447 Rearrange (4*x - 3*x + 0*x)*(176 + 942 + 488 + 1270) to the form m + q*x and give q. 2876 Rearrange (1 + 2 - 2)*(10 + 2*k + 5 - 16) + 0*k - k + 3*k + (-38 - 8 - 9)*(0*k - 3*k + k) to s*k + m and give m. -1 Express -k**2 + 807 - 807 + 46*k in the form g + b*k**2 + z*k and give z. 46 Express -q**2 + 2646*q**3 + 48*q + 2*q**2 - 2645*q**3 in the form u*q + j*q**3 + s + k*q**2 and give j. 1 Rearrange 2*l**3 + 11145*l + l**4 - 11145*l + 23*l**2 to the form o + r*l**2 + j*l**4 + k*l + n*l**3 and give r. 23 Express 2*a**2 + 517*a + 7*a**2 - 1035*a - 32 + 519*a in the form h*a**2 + g + l*a and give l. 1 Rearrange 4*o + 7 - 11 + 3 to the form c + u*o and give u. 4 Express (-o + 3*o - 39*o)*((5 - 4 + 0)*(0*o + 4*o - 3*o) - 4*o + 6*o - 4*o) as a + k*o**2 + m*o and give k. 37 Rearrange -94*n + 19*n - 97*n + 19*n to h + a*n and give a. -153 Express 3*m - 2*m - 11*m + 69*m**3 + 73*m**3 + 6*m as t*m**3 + w + l*m**2 + h*m and give t. 142 Rearrange (-22 + 142 + 167 + (0 + 1 - 4)*(-3 + 1 + 4))*(5*f**4 - f**4 - 5*f**4) to k + x*f**2 + p*f**3 + s*f + c*f**4 and give c. -281 Rearrange 44 - 34 - 79*f + 90*f to the form d*f + g and give g. 10 Express -257*s + 1 + 507*s - 253*s - 2*s**2 in the form z*s**2 + x*s + o and give o. 1 Express (63*c - 17*c - 118*c)*(-c + 2 - 2 + (c - 5*c + c)*(-4 + 2 + 0)) as i + f*c**2 + p*c and give f. -360 Rearrange 5*c + c**4 + 234*c**3 - 2 - 236*c**3 + 5 - 3*c - 103*c**2 to the form s + t*c**3 + o*c + w*c**4 + f*c**2 and give w. 1 Rearrange (11*y + 17 - 20*y + 17*y)*(5 - 2 - 2) to h + l*y and give l. 8 Express (-2 - 1 + 1)*(-3*m + m + 4*m) - 4 + 11*m + 4 + (3 + 1 + 0)*(1 - 1 - 2*m) in the form c*m + d and give d. 0 Rearrange -67*z**2 + 233*z**2 - 8*z**2 + 601*z**2 to the form m + o*z**2 + g*z and give o. 759 Rearrange (-2*g**3 - 2*g**3 + 7*g**3 - 1)*(g - 12*g + 4*g) to the form t*g**3 + y*g + a*g**4 + f*g**2 + k and give a. -21 Rearrange 0*f + 4*f - 12 - 3*f + 13 + 19 to o*f + m and give m. 20 Express (-5*p**2 + 4*p**2 + 6*p**2)*(-9*p**2 + 16*p**2 + 54*p - 8*p**2 + 36*p) in the form s + l*p + a*p**2 + n*p**3 + v*p**4 and give v. -5 Express 3*h**3 + 3*h**3 - 4*h**3 + (h - 6*h - h)*(-6*h**2 + 6*h**2 - 6*h**2) - h**3 - h + h as x*h**2 + i + m*h + c*h**3 and give c. 37 Express -2*w**4 + 5*w**4 + 0*w**4 + (2*w**2 - 2 + 2)*(w**2 - 8*w**2 + 13*w**2) as u*w**2 + g*w**3 + m*w + j + d*w**4 and give d. 15 Express -11964*y**4 + 0*y**3 + 2*y**3 + 12017*y**4 - 3*y**2 + 2 as v*y**3 + j + f*y**2 + c*y**4 + k*y and give j. 2 Express (6 - 4*q - 6)*(-53 + 27 + 3)*(-1 - 4 + 4) in the form j + x*q and give x. -92 Rearrange 2 - 18*n**4 + 20*n**4 - 3*n**2 + 19*n**3 - 2 + 1 to g*n**3 + s*n + k*n**2 + z + m*n**4 and give g. 19 Rearrange -38*i - i**2 - 32*i - 7*i + (-4*i**2 + 6*i**2 + 0*i**2)*(-3 + 7 - 3) to s + j*i + z*i**2 and give j. -77 Express -d**2 - 2*d**2 - 18*d + 1 - 3*d**2 + d**2 + 57*d as o*d**2 + v*d + t and give o. -5 Express -3*f + 2*f**3 - 51 + 110 + f**4 - 51 - 2*f**2 as c*f + r*f**2 + d*f**4 + g + w*f**3 and give d. 1 Rearrange -378*s**2 + 379*s**2 - 3 - 4 - 2*s**4 to a*s**2 + f*s**4 + y*s + g + i*s**3 and give f. -2 Express 30*t**3 + 2*t**4 + 23*t**3 - 2*t**4 - t - 4*t**4 - 2*t**2 + t**4 in the form k + c*t**3 + b*t**4 + r*t + m*t**2 and give k. 0 Express -3*c + 4*c + 0*c + (0*c + 2*c + 0*c)*(-3 + 4 + 1) + 1 - c - 1 - 7*c + 75*c + 42*c as k*c + x and give k. 114 Express (-3*t + t + t)*(-7 + 7*t + 7 + (4 + 1 - 2)*(2*t - 10 + 10) + t - 3*t + 4*t + 2*t - t + 0*t) in the form w*t**2 + r*t + s and give w. -16 Express 18 + 14 + 46872*g - 46844*g in the form j*g + f and give f. 32 Rearrange 20187*r - 20187*r + 162*r**2 to g*r**2 + u + p*r and give g. 162 Rearrange 14*o**3 - 2*o**2 - 2*o - o**2 - 2 - 26*o**3 - 30*o**3 to the form l*o + g + z*o**3 + d*o**2 and give l. -2 Express 11 + 0 - 9 + 106*k in the form q + u*k and give u. 106 Express -158*t - 720 + 85*t + 74*t in the form h*t + l and give l. -720 Rearrange -112*n**2 + n + 232*n**2 - 18 - 118*n**2 + 3*n to m + p*n**2 + o*n and give o. 4 Express 16*n - 10 - 25*n + 8*n + 3*n**3 in the form a*n**2 + b*n**3 + x*n + k and give b. 3 Rearrange 18*y**3 + 1 + 6*y**3 + 2*y - 21*y**3 - 12*y**2 to w + c*y**2 + g*y**3 + t*y and give g. 3 Express 0*s**4 + s**2 + 2*s**4 - 1 - s**2 + 38*s - s**2 + 3*s**2 in the form d + a*s**3 + c*s**2 + k*s + i*s**4 and give i. 2 Express 0*j + 29*j - 13*j as n*j + h and give n. 16 Express -3*y**2 + 200*y - 221*y + 4*y**2 - 4*y**2 - 2*y**2 as i*y**2 + t + o*y and give i. -5 Rearrange -x**2 - 2*x**2 + x**2 - 2 - 3*x**2 + 2 + (-3 + 3 + 2*x)*(4*x + 3*x - 5*x) + 1826*x**2 - 4212*x**2 + 1881*x**2 to u*x**2 + m + z*x and give u. -506 Rearrange 368 + 116 + a**2 - 178 + 0*a**2 + 467 to v*a + r*a**2 + t and give t. 773 Rearrange 3*b**4 + 8*b**3 - 8*b**4 + 6*b**4 + 33*b - 4*b**3 - b to the form u*b + k + c*b**4 + j*b**2 + w*b**3 and give j. 0 Express 53 - i - 10*i**3 - 28 - i**2 - 25 as f*i + q*i**2 + j + m*i**3 and give f. -1 Rearrange (0*p - 2*p + 3*p)*(-21 + 21 + 11*p) - 4*p**2 - 7*p + 7*p to the form g*p**2 + n + t*p and give g. 7 Express (0 + 1 - 3)*(1 - 1 - 4)*(2*x - 3*x + 3*x) as p + y*x and give y. 16 Rearrange -4840*w + 4840*w + 12*w**3 + 5*w**2 - 4*w**3 to c + s*w**3 + l*w**2 + z*w and give l. 5 Express -1416*h - 223*h + 267*h - 701*h - 630*h in the form d*h + r and give d. -2703 Rearrange 1 - 117*y + 23*y + 1 - 56*y to k*y + r and give r. 2 Express 0 - 2 - 17*u - 5*u - 1 - 3*u in the form x + n*u and give n. -25 Rearrange 11*c - 5*c**2 - 2*c**3 + 2*c**2 - 132*c**4 + 126*c**4 - 12*c to j*c**2 + w + v*c**4 + x*c**3 + r*c and give x. -2 Rearrange -115*v + 708*v - 48*v + 552*v to the form d*v + p and give d. 1097 Rearrange (-2*n**2 + n**2 + 0*n**2)*(9 - 11 + 17)*(12*n**2 + 3 + 0 - 6*n**2) to v*n**3 + r*n + f*n**2 + s*n**4 + h and give s. -90 Express ((-3 + 3 - 1)*(44 + 51 - 8) - 4 + 3 - 1)*(-7*b + 2*b - 4*b) as n + z*b and give z. 801 Rearrange -52*u**3 + 2 + 14*u**3 - 351*u**3 to q + r*u**2 + w*u + v*u**3 and give v. -389 Rearrange (1 + 0*c**2 + 2*c**2 + 0*c**2)*(37088 + 163*c - 37088) to the form b*c + m*c**3 + n + d*c**2 and give b. 163 Express 60*v - 100*v**4 + 3 + 2*v**3 + 0 + 2*v**2 - 5 - 58*v as k + r*v**4 + q*v**2 + y*v**3 + d*v and give k. -2 Rearrange (3 + 1 + 3 - 5 - 151*z)*(-8*z**3 + 0*z**3 - 4*z**3) to n*z**4 + q*z**2 + k + x*z + f*z**3 and give n. 1812 Express (-4377 + 4373 - 3*q + q)*(0 + 1 - 2) as h + l*q and give l. 2 Express -2*v**2 - 6 + 5*v**2 - 3*v - 6*v**3 + 4*v**3 + 0*v - 4*v**4 as q*v**3 + r*v**4 + k*v + o + s*v**2 and give r. -4 Express -296*x + 114*x + 655*x + 563*x in the form k + z*x and give z. 1036 Rearrange (15 - 13 + 24 + 17)*(10*r**4 + 3*r**4 - 3*r**4) to o*r + s*r**4 + p*r**2 + w*r**3 + u and give o. 0 Rearrange -785*l + 203*l - 197*l to q*l + z and give q. -779 Rearrange (2*t - 1 + 1)*(36*t - 49*t - 54*t - 13*t - 117*t) to the form r*t**2 + v*t + k and give v. 0 Express -s**4 - 44*s**3 - 2*s**2 - 58 + 9 + 26 + 24 in the form i*s**4 + q*s**2 + u*s**3 + t*s + n and give i. -1 Express -4*q**4 - 260*q**3 + 2 + 0*q**4 + 2*q**4 + 265*q**3 + 6*q**2 as k*q**4 + o + l*q**2 + c*q**3 + t*q and give k. -2 Express (3*i**2 - 5*i**2 - 2*i**2)*(-96*i**2 - 1303 + 1303) in the form n*i**4 + a*i**2 + x*i**3 + t*i + m and give n. 384 Rearrange 2999 - 108*i**2 + 50*i - 3000 + 3*i**3 - 50*i to the form h*i**2 + w*i + m + d*
{ "pile_set_name": "DM Mathematics" }
**2 + 0 + 258*t**3 as q*t**2 + f*t + l + n*t**3 and give n. -3 Express -r + 2*r + 3*r**2 - 458*r**4 + 452*r**4 + 1 as c*r + u + q*r**3 + k*r**4 + j*r**2 and give j. 3 Rearrange -159*t + 493*t - 158*t - 172*t + 18 to the form x*t + g and give g. 18 Rearrange 1627137*x + x**2 - 2 - 1627339*x - 1 to l*x**2 + b + i*x and give i. -202 Express 2 + 1 + 294*p + 5 + 430*p - 9 as r*p + b and give b. -1 Rearrange -10*i**2 - 4*i**4 - 122*i + i**3 + 49*i + 77*i to f*i**2 + y*i**3 + v + b*i + u*i**4 and give y. 1 Rearrange 20849*f**3 + 20970*f**3 + 28*f**2 - 2 - 41419*f**3 to the form y*f + z*f**3 + x + s*f**2 and give z. 400 Rearrange 3768*z**2 + 2537 - 2537 to v*z**2 + i*z + c and give i. 0 Express (3*s - 2*s + s)*(19407 + 6164 + 114 + 3065) in the form o + z*s and give z. 57500 Rearrange 16265*g + 7136*g + 14312*g - 2799*g + 1444*g to the form z*g + q and give z. 36358 Express 9*n**2 + n**3 - 7*n**2 + 416*n**4 + 2 - 287*n**4 + n**2 as y*n + f*n**3 + s + d*n**2 + r*n**4 and give d. 3 Express ((27*h - 60*h + 23*h)*(12 - 2 + 7) + 4*h + 0*h - 6*h)*(-2 + 5 - 4) as r*h + y and give r. 172 Rearrange (-4 - 10 - 76 + 5*z - 4*z)*(25 - 7 + 47) to a*z + w and give a. 65 Express -o + 931835*o**2 + 2 - 930176*o**2 - 1 - o - 2*o**3 in the form g + m*o**2 + z*o**3 + u*o and give u. -2 Rearrange (21*l**2 - 1 - 9*l**2 - 13*l**2 - 7*l)*(3 - 37 + 3) - 2*l + 2*l + 2*l**2 to the form r + q*l**2 + o*l and give o. 217 Express 326*l + 1116*l - 65 + 65 - 110*l in the form t + q*l and give q. 1332 Express -220*g**3 - 67*g + 5 - 383*g**3 + 0*g**2 - 2*g**2 + 68*g as q + n*g**3 + p*g**2 + x*g and give p. -2 Rearrange -379 - 185 + 46 + p + 61 - 10*p to s*p + w and give w. -457 Express -2*r - 3*r**2 + 8987*r**3 + r**2 - 9086*r**3 + (-r**2 + r**2 - 7*r**2)*(0 - r + 0) in the form f + s*r**2 + i*r + u*r**3 and give s. -2 Express 10*w - 66 + 120 + 25 as g*w + t and give t. 79 Express 3566*d + 5305*d + 55*d + 6176*d - 346*d as l*d + w and give l. 14756 Rearrange (9 - 36 - 4)*(1 - 4 + 1)*(-6*k - 28 + 28)*(-2 + 5 - 5)*(-89*k - 108*k + 162*k) to the form f + q*k**2 + o*k and give q. -26040 Express 38*f + 9*f + 11*f - 4 + 3*f + 4 + (0*f - 2*f + 0*f)*(-3 + 0 + 1) + 2*f - 3*f + 2*f - f + 0*f - f in the form p*f + n and give p. 64 Rearrange (l - 1 + 1 + (3 + 2 - 7)*(2*l - l + l))*(21346 + 15363 + 6327) to p*l + z and give p. -129108 Express -1 + 416*z**2 - 2033*z**2 + 300*z**2 in the form r*z**2 + w*z + n and give n. -1 Rearrange 9*d - 4*d + 3 - 26*d - 31*d - 13 to the form f*d + o and give f. -52 Express 95*p + 84*p - 337*p + 83*p + 77*p - 18476 in the form v*p + k and give k. -18476 Rearrange -2*s**2 - s**4 - 890*s - 844*s + 1728*s - s**3 - 3 to g + a*s**2 + m*s + b*s**4 + l*s**3 and give a. -2 Express 5*s + 62734*s**2 + 62637*s**2 - 125220*s**2 as v*s + r + o*s**2 and give o. 151 Rearrange (-2358*p**2 + 2*p - 1790 + 1792 - 822*p**2)*(0 + 0 + 4)*(0*p + 0*p + 2*p) to v*p + z + l*p**2 + u*p**3 and give u. -25440 Rearrange 45*u + 34 - 99*u + 197*u - 10 to the form d + z*u and give d. 24 Rearrange (-1 + 1 - 3*g)*(239 - 65 - 3633) to l + q*g and give q. 10377 Rearrange 35537*u**4 - 35545*u**4 + u**2 - 14*u**3 + 12*u - 22*u + 2 + 8*u to y*u**2 + b*u + s*u**3 + k + j*u**4 and give k. 2 Rearrange -1450 + 1450 + 52*k + (2130 - 62*k - 2130)*(4 - 5 + 3) + k + k - k to the form m + a*k and give a. -71 Express (-3616 - 17*y + 3616)*(-44*y + 324 - 324) + (4*y + y - 3*y)*(2*y + 0*y - 4*y) in the form a*y + v*y**2 + r and give v. 744 Rearrange -72 + 6*x**2 + 72 + (0 + 3 - 2)*(-3*x**2 + 0*x**2 + 2*x**2) + 2*x**2 - x**2 + x**2 - 28*x**2 - 20*x**2 + 1 + 6*x**2 to b + r*x**2 + h*x and give b. 1 Express ((1 + 0 + 3)*(0*a + 2*a**3 + 0*a) + a**3 - 4 + 4)*(-37*a + 68 + 28*a - 3*a) in the form x*a + b*a**2 + f*a**4 + d + i*a**3 and give x. 0 Rearrange -1140*t - 1714*t - 1979*t to j + k*t and give k. -4833 Express (60*x + 5*x - 20*x)*(2*x**3 - 6*x - 58*x + 28 + 62*x) in the form w*x**4 + d*x**2 + f + o*x**3 + n*x and give n. 1260 Rearrange (-18 + 18 - 6*y + (y + 2*y - 5*y)*(-190 + 77 + 71))*(1 - 5 + 2)*(y + 2*y**2 - y) to the form w*y**3 + v*y + s + z*y**2 and give w. -312 Express (5 - 2*g - 7 + 0)*(-169*g**2 + 169*g**2 + 139*g**3) as b*g**3 + x*g**2 + l*g**4 + n*g + q and give n. 0 Express -76*i**2 - 244 + 291 - 15*i**2 in the form r*i + l*i**2 + s and give s. 47 Rearrange (64440 + 60093 - 27530 + 51688)*(-2 + k + 2) to p*k + a and give p. 148691 Rearrange 3442*u**2 + 126*u**2 + 1901*u**2 + 347*u**2 to c*u**2 + x*u + m and give c. 5816 Express -1407*u**2 + 3077*u**2 - 903*u**2 - u - 1228*u**2 + 2*u**3 - 1 in the form k*u + s + g*u**3 + o*u**2 and give k. -1 Rearrange -3112*l**2 + 7*l + 4*l + 3015*l**2 to the form c*l**2 + q + i*l and give c. -97 Express 0*w - 4*w + 2*w + (0*w + 4*w - 2*w)*(58 - 130 + 51) - w + w - 2*w + (3 - 2 - 3)*(-38 + 38 - 7*w) in the form q*w + j and give q. -32 Express -7549*z + 800 + 2*z**2 - 9011 - 7548*z + 15097*z in the form a*z + w*z**2 + b and give b. -8211 Express -124*x**2 + 226*x**2 + 7*x**3 - 3*x**3 + 169*x**2 in the form s*x**2 + g*x + q + c*x**3 and give s. 271 Express 471*y - 473*y - 8*y**3 - 9*y**2 + 9*y**2 as a + p*y + g*y**2 + q*y**3 and give a. 0 Rearrange 59*x**2 - 7*x + 61*x**2 - 199*x**2 + 20*x**3 + 1 + 78*x**2 to the form g*x + h*x**2 + p*x**3 + o and give o. 1 Rearrange -14 - 216 - 973*v - 14*v**2 + 487*v + 484*v + 8 to m*v**2 + w + g*v and give g. -2 Express -322*n - 866*n + 212*n - 690*n - 290*n in the form m*n + b and give m. -1956 Express -2*k**2 + 53*k**3 - 152696 + 152686 + 24*k**3 in the form x*k + u*k**2 + s*k**3 + c and give c. -10 Rearrange 12*r**3 + 9*r - 5 - 12*r**3 - 20*r - 3*r**3 + 4*r**2 to v*r**3 + m*r**2 + x + p*r and give p. -11 Rearrange (-34*p**2 + 101*p**2 - 22*p**2)*(-2*p**2 + 2*p**2 + p**2 + (15 + 14*p - 15)*(4*p - 3*p - 4*p)) to z*p**3 + s*p**2 + g + j*p + l*p**4 and give l. -1845 Rearrange -424*d**3 + 424*d**3 - 7*d**4 + 8 - 8*d**2 + 9*d**4 - 24 to the form x*d**2 + l*d**4 + r*d + z + a*d**3 and give l. 2 Express (22840 - 30937*n - 45681 + 22840)*(-3 + 1 + 0)*(2*n - 3*n - n) in the form a*n + u*n**2 + z and give u. -123748 Express (0*s + s - 2*s)*(57*s + 40820 + 58*s + 63*s - 234*s + 57*s) in the form g*s**2 + t + o*s and give g. -1 Express -3*i**2 + 3*i**2 - 2*i**4 + (7*i**3 - 5*i**3 - 6*i**3)*(2722 - 202*i - 2722) in the form d + a*i**3 + w*i + j*i**4 + h*i**2 and give j. 806 Express 154*r**4 - 157*r**4 + 2 + r**2 + 49325*r**3 + r - 49171*r**3 as j*r + x*r**4 + v*r**3 + t*r**2 + n and give x. -3 Express 2173*z**2 + 2205*z**2 - 4381*z**2 + 82*z as f*z + i + h*z**2 and give f. 82 Rearrange 1217 - 1040*a - 610 + 318*a - 607 to h + b*a and give b. -722 Rearrange (682*u + 3311*u + 963*u)*(-3 + 1 + 4 + u) to the form f*u**2 + r + v*u and give f. 4956 Express k**2 + k**2 - 2 + 22*k + 136*k + 19*k in the form v*k**2 + u + i*k and give i. 177 Express (2*b**2 + 0*b**2 + 0*b**2)*(-2*b**2 - 1 + 1) + 57*b**4 - 102*b**4 - 630 + 44*b**4 as l*b**3 + a*b**4 + d*b + u + i*b**2 and give a. -5 Express (-1388 + 2685 - 1352)*(1846 - 7*j**3 + 0*j**3 - 1848) as k + v*j + u*j**2 + p*j**3 and give k. 110 Express -86*l**3 + 321*l**3 + 2 - 199836*l + 199832*l in the form n + d*l**3 + f*l**2 + s*l and give d. 235 Express -3*s - 631 + 2*s + 622 as z + g*s and give z. -9 Express -93*g**3 + 2 - 100*g**3 + 296*g**3 - 99*g**3 - 24*g**4 - 20*g**4 + 9*g in the form x*g**2 + c*g**4 + a + l*g + r*g**3 and give l. 9 Express (-4 + 2 - 3)*(-7*i - 4*i + 3*i)*(59 - 80 + 40) as o*i + r and give o. 760 Express b - b - 2*b + (0*b - 2*b - 3*b)*(-5 + 2 + 1)*(-25 + 13 - 14) as x*b + k and give x. -262 Express -3*m**3 - 2*m**4 - 145*m + 94 + 107 - m**2 - 202 as u*m**2 + t + i*m + y*m**4 + d*m**3 and give i. -145 Express ((3 - 3 + 2*g**4)*(1 - 2 - 1) - 4*g**4 + 4*g**4 + g**4)*(17777 + 118 + 27453 + 26295 + 27953) as l + c*g + a*g**4 + q*g**2 + b*g**3 and give a. -298788 Rearrange 117 + 120 + 132 + 883*c**2 - 363 to m*c**2 + g*c + r and give m. 883 Express 3*p**3 - 1 - 209*p - 82 + 82 in the form y*p**3 + a + d*p**2 + z*p and give z. -209 Express -9900*j - 10781*j + 7469*j - 4808*j - 10798*j in the form a*j + l and give a. -28818 Rearrange -5491 + 11049 - 5469 + 58*b to the form q + s*b and give s. 58 Rearrange (-1007 + 1096 - 2258 - 3*z)*(0*z + 3*z + 0*z) to c + q*z + n*z**2 and give q. -6507
{ "pile_set_name": "DM Mathematics" }
/7 Factor 5*u**4 + 450*u**3 + 9180*u**2 - 42770*u + 33135. 5*(u - 3)*(u - 1)*(u + 47)**2 Factor -375*c**3/7 + 21600*c**2/7 - 414720*c/7 + 2654208/7. -3*(5*c - 96)**3/7 Find w such that 2*w**2/17 - 84*w/17 + 784/17 = 0. 14, 28 Factor 4*l**5 + 72*l**4 + 336*l**3 + 616*l**2 + 492*l + 144. 4*(l + 1)**3*(l + 3)*(l + 12) Let -98*l**5 + 302*l**3 - 196*l**2 - 24*l + 16 = 0. What is l? -2, -2/7, 2/7, 1 Factor -3*c**5/2 - 9*c**4 - 27*c**3/2 - 6*c**2. -3*c**2*(c + 1)**2*(c + 4)/2 Determine v so that 4*v**2 + 192*v - 1792 = 0. -56, 8 Solve -2*b**3/11 + 20*b**2/11 + 74*b/11 + 52/11 = 0 for b. -2, -1, 13 Factor -3*t**4/5 - 174*t**3/5 - 2484*t**2/5 + 3174*t + 401511/5. -3*(t - 11)*(t + 23)**3/5 Solve -2*a**3 + 42*a**2 + 2*a - 42 = 0 for a. -1, 1, 21 Determine w so that w**4 + 35*w**3 + 67*w**2 + 33*w = 0. -33, -1, 0 Determine j so that 4*j**5 + 12*j**4 - 12*j**3 - 44*j**2 - 24*j = 0. -3, -1, 0, 2 What is x in 3*x**4/4 - 27*x**3/4 + 39*x**2/4 + 27*x/4 - 21/2 = 0? -1, 1, 2, 7 What is x in -2*x**4/7 - 268*x**3/7 - 1304*x**2/7 - 1812*x/7 - 774/7 = 0? -129, -3, -1 Factor -2*o**3/3 - 106*o**2/3 - 292*o/3 + 400/3. -2*(o - 1)*(o + 4)*(o + 50)/3 Suppose -220*a**5 - 3120*a**4 - 10515*a**3 - 13855*a**2 - 7140*a - 900 = 0. What is a? -10, -3/2, -1, -2/11 What is l in -2*l**5/5 - 38*l**4/5 - 26*l**3/5 + 174*l**2/5 - 108*l/5 = 0? -18, -3, 0, 1 Factor 2*s**2/5 - 72*s/5. 2*s*(s - 36)/5 Let 2*p**3/15 + 2*p**2/5 + 2*p/5 + 2/15 = 0. Calculate p. -1 Find d such that 35*d**3 + 1405*d**2 + 160*d - 1600 = 0. -40, -8/7, 1 Factor -108*v**2 - 8*v. -4*v*(27*v + 2) Solve -15*q**3 - 20*q**2 + 45*q + 50 = 0 for q. -2, -1, 5/3 Factor -c**5 - 3*c**4 - 2*c**3 + 2*c**2 + 3*c + 1. -(c - 1)*(c + 1)**4 Factor -3*j**2 - 7302*j - 4443267. -3*(j + 1217)**2 Find h such that 20*h**3/3 + 512*h**2/3 - 208*h/3 = 0. -26, 0, 2/5 Let -b**3/2 + 52*b**2 + 105*b/2 = 0. What is b? -1, 0, 105 Factor 2*c**3/3 + 6*c**2 + 12*c. 2*c*(c + 3)*(c + 6)/3 Factor 2*q**5 + 40*q**4 + 290*q**3 + 900*q**2 + 1080*q + 432. 2*(q + 1)**2*(q + 6)**3 Factor -x**4/5 - 52*x**3/5 - 798*x**2/5 - 980*x - 10633/5. -(x + 7)**3*(x + 31)/5 Solve 2*t**3 - 10*t**2 + 6*t + 18 = 0. -1, 3 Let u**3/5 + 231*u**2/5 - 140*u + 468/5 = 0. Calculate u. -234, 1, 2 Suppose l**3/4 + 5*l**2/4 + 7*l/4 + 3/4 = 0. Calculate l. -3, -1 Suppose i**4/9 - 11*i**3/9 + 4*i**2 - 4*i = 0. Calculate i. 0, 2, 3, 6 Find o such that o**5 + 14*o**4 + 69*o**3 + 144*o**2 + 108*o = 0. -6, -3, -2, 0 Factor -4*q**2 + 76*q + 264. -4*(q - 22)*(q + 3) Solve -5*v**2 + 40*v + 100 = 0 for v. -2, 10 Factor -5*p**2 - 120*p - 640. -5*(p + 8)*(p + 16) Factor -4*x**4/21 - 6*x**3 + 64*x**2/21. -2*x**2*(x + 32)*(2*x - 1)/21 Find f such that 10*f**3 + 44*f**2 - 90*f + 36 = 0. -6, 3/5, 1 Factor -7*l**5 - 16*l**4 - 6*l**3 + 8*l**2 + 5*l. -l*(l + 1)**3*(7*l - 5) Solve -3*l**2/4 + 69*l/2 = 0 for l. 0, 46 Find c, given that 8*c**5 + 244*c**4 - 416*c**3 - 1036*c**2 - 384*c = 0. -32, -1, -1/2, 0, 3 Let 3*n**5 - 51*n**4 + 198*n**3 + 66*n**2 - 681*n - 495 = 0. What is n? -1, 3, 5, 11 Solve 3*v**2 - 21*v + 18 = 0 for v. 1, 6 Suppose b**2 + 112*b + 3136 = 0. What is b? -56 Factor -3*b**3 - 447*b**2 - 16425*b + 16875. -3*(b - 1)*(b + 75)**2 Solve -p**4 + 44*p**3 + 93*p**2 - 44*p - 92 = 0 for p. -2, -1, 1, 46 Factor -r**3 + 159*r**2 - 5544*r - 63504. -(r - 84)**2*(r + 9) Determine v so that -3*v**2/7 + 51*v/7 - 30 = 0. 7, 10 Factor -2*t**5 + 88*t**4 - 1256*t**3 + 5220*t**2 + 9450*t - 13500. -2*(t - 15)**3*(t - 1)*(t + 2) Find n such that 4*n**4/7 - 2*n**3/7 - 22*n**2/7 - 22*n/7 - 6/7 = 0. -1, -1/2, 3 Suppose -20*g**5 - 416*g**4 - 1412*g**3 + 7608*g**2 - 9216*g + 3456 = 0. Calculate g. -12, 1, 6/5 Factor -4*v**3 - 68*v**2. -4*v**2*(v + 17) Solve -42*q**5 + 171*q**4 - 222*q**3 + 99*q**2 - 6*q = 0. 0, 1/14, 1, 2 Solve h**5/5 + 14*h**4/5 + 33*h**3/5 - 4*h**2/5 - 44*h/5 = 0. -11, -2, 0, 1 Solve -i**2/5 + i/5 = 0 for i. 0, 1 Solve -2*i**3/5 + 2*i**2/5 + 8*i = 0 for i. -4, 0, 5 Factor u**4 - 4*u**3 + 5*u**2 - 2*u. u*(u - 2)*(u - 1)**2 Suppose 104*f**3 + 62*f**2 - 12*f = 0. What is f? -3/4, 0, 2/13 Factor 7*b**4/3 - 9*b**3 - 25*b**2/3 + 41*b + 6. (b - 3)**2*(b + 2)*(7*b + 1)/3 Factor 3*o**3/8 + 21*o**2/8 - 387*o/8 - 405/8. 3*(o - 9)*(o + 1)*(o + 15)/8 Factor -673445*y**3 + 666105*y**2 + 7320*y + 20. -5*(y - 1)*(367*y + 2)**2 Factor i**3 - 37*i**2 - 250*i - 344. (i - 43)*(i + 2)*(i + 4) Find o, given that 4*o**2 + 1720*o + 184900 = 0. -215 What is n in -n**5/10 + 3*n**4/10 - n**3/5 = 0? 0, 1, 2 Let -5*o**3 + 770*o**2 - 30400*o + 57760 = 0. Calculate o. 2, 76 Let 2*h**2 - 344*h + 14792 = 0. What is h? 86 Factor -5*u**5 - 160*u**4 - 1280*u**3 - 4230*u**2 - 6075*u - 2970. -5*(u + 1)*(u + 3)**3*(u + 22) Factor -2*d**4 - 12*d**3 - 24*d**2 - 16*d. -2*d*(d + 2)**3 Factor -4*q**3 - 312*q**2 + 316*q. -4*q*(q - 1)*(q + 79) What is h in -4*h**4 + 76*h**3 - 292*h**2 + 132*h + 504 = 0? -1, 3, 14 Determine r, given that -2*r**3 + 12*r**2 + 54*r = 0. -3, 0, 9 Find h such that 2*h**2/11 - 94*h/11 + 624/11 = 0. 8, 39 Factor -z**2 - 23*z + 24. -(z - 1)*(z + 24) Determine o, given that o**4/2 + 45*o**3/2 + 281*o**2/2 + 579*o/2 + 171 = 0. -38, -3, -1 Let -3*k**5/7 - 36*k**4/7 + 729*k**3/7 - 3078*k**2/7 + 3888*k/7 = 0. What is k? -24, 0, 3, 6 Factor 11*r**2 + 2*r - 13. (r - 1)*(11*r + 13) Let y**2/5 - 132*y/5 + 4356/5 = 0. Calculate y. 66 Factor 25*a**4 + 4490*a**3 + 268200*a**2 + 5292000*a - 2160000. 5*(a + 60)**3*(5*a - 2) Find p such that -2*p**2/3 + 68*p - 1734 = 0. 51 Let -8*f**2/9 - 82*f/3 + 62/9 = 0. What is f? -31, 1/4 Determine i so that -2*i**3 - 76*i**2 + 158*i - 80 = 0. -40, 1 Find u, given that -4*u**5 - 44*u**4 + 100*u**3 - 52*u**2 = 0. -13, 0, 1 Find y, given that 2*y**4/9 + 34*y**3/9 - 18*y**2 + 14*y = 0. -21, 0, 1, 3 What is t in -t**3 + 5*t**2 - 7*t + 3 = 0? 1, 3 Factor 2*x**2 - 2. 2*(x - 1)*(x + 1) Suppose 3*p**2/7 - 12*p/7 - 180/7 = 0. What is p? -6, 10 Factor -2*v**3/3 + 2*v**2 + 92*v/3 + 48. -2*(v - 9)*(v + 2)*(v + 4)/3 Suppose -9*g**3 + 645*g**2 + 222*g - 432 = 0. What is g? -1, 2/3, 72 Find l, given that 3*l**2/5 + 786*l/5 + 51483/5 = 0. -131 Factor -2*j**2/7 + 5916*j/7 - 4374882/7. -2*(j - 1479)**2/7 Solve 2*f**2/3 + 256*f/3 - 262 = 0 for f. -131, 3 Solve -5*m**3 + 2605*m**2 + 5*m - 2605 = 0. -1, 1, 521 Factor 4*q**2/5 + 16056*q/5 + 16112196/5. 4*(q + 2007)**2/5 Factor 2*f**4/11 + 16*f**3/11 + 10*f**2/11 - 100*f/11. 2*f*(f - 2)*(f + 5)**2/11 Factor i**4 + 2*i**3. i**3*(i + 2) Solve 6*c**4/5 - 88*c**3/5 - 54*c**2/5 + 352*c/5 + 24 = 0. -2, -1/3, 2, 15 Solve -2*f**3 + 4*f**2 + 362*f - 364 = 0 for f. -13, 1, 14 Solve -g**5/3 - 64*g**4 + 193*g**3/3 = 0 for g. -193, 0, 1 Suppose 2*y**4/13 - 24*y**3/13 - 56*y**2/13 = 0. What is y? -2, 0, 14 Determine r so that 5*r**3 + 4925*r**2 + 1215240*r + 1210320 = 0. -492, -1 Suppose -2*d**2/9 - 2*d/3 + 4 = 0. What is d? -6, 3 Determine p so that p**3 + 102*p**2 + 2700*p + 5000 = 0. -50, -2 Let -3*b**4 - 126*b**3 - 1839*b**2 - 10296*b - 14196 = 0. What is b? -14, -13, -2 Suppose -2*w**5/11 - 4*w**4/11 + 4*w**3/11 + 8*w**2/11 - 2*w/11 - 4/11 = 0. Calculate w. -2, -1, 1 Find o such that 2*o**4/3 - 454*o**3/3 + 8512*o**2 + 8664*o = 0. -1, 0, 114 Factor r**3/5 - 9*r**2/5 - 21*r/5 - 11/5. (r - 11)*(r + 1)**2/5 Determine o so that 2*o**4/13 - 24*o**3/13 + 22*o**2/13 = 0. 0, 1, 11 Let -36*a**3/13 + 34*a**2/13 + 74*a/13 + 4/13 = 0. What is a? -1, -1/18, 2 Find x such that -2*x**4/15 - 34*x**3/3 + 356*x**2/5 - 2168*x/15 + 1456/15 = 0. -91, 2 Factor 2*x**3 - 16*x**2 + 14*x. 2*x*(x - 7)*(x - 1) Factor -2*s**5/7 + 40*s**4/7 - 300*s**3/7 + 1000*s**2/7 - 1250*s/7. -2*s*(s - 5)**4/7 Solve -25*f**4/2 - 255*f**3 + 1625*f**2/2 + 1515*f + 460 = 0. -23, -1, -2/5, 4 Determine m so that 3*m**3/2 + 153*m**2 + 4554*m + 31740 = 0. -46, -10 Determine k so that k**3 + 31*k**2 + 224*k - 256 = 0. -16, 1 Factor -16*n**4 + 14800*n**3 - 3429892*n**2 + 3418800*n - 853776. -4*(n - 462)**2*(2*n - 1)**2 Determine h so that -3*h**3/7 - 9*h**2 - 432*h/7 - 960/7 = 0. -8, -5 Factor t**2/6 + 113*t/6 - 58. (t - 3)*(t + 116)/6 Factor j**2/4 - 5*j/2 + 25/4. (j - 5)**2/4 Factor 2*o**2/3 - 56*o + 1176. 2*(o - 42)**2/3 Factor 5*f**2 - 80*f - 285. 5*(f - 19)*(f + 3) Factor 147*p**3 + 598500*p**2 - 342036*p + 48864. 3*(p + 4072)*(7*p - 2)**2 Factor -2*g**2/3 - 22*g - 64/3. -2*(g + 1)*(g + 32)/3 Let -4*a**2 - 3960*a + 7
{ "pile_set_name": "DM Mathematics" }
common factor of 242985 and 240? 15 Calculate the greatest common divisor of 63844 and 65739006. 2902 What is the greatest common divisor of 210 and 1477185? 15 Calculate the highest common factor of 465 and 1796915. 155 What is the greatest common factor of 265 and 219103855? 265 What is the highest common divisor of 255906 and 94227? 21 Calculate the greatest common factor of 1452436 and 68324. 2204 Calculate the highest common factor of 39789 and 504816306. 13263 What is the greatest common factor of 484270348 and 472? 236 Calculate the greatest common factor of 27635875 and 375. 125 Calculate the greatest common divisor of 1236 and 14469234. 618 Calculate the greatest common factor of 18079 and 235633. 101 Calculate the highest common divisor of 119862067 and 28795. 5759 What is the highest common factor of 513 and 7486? 19 Calculate the highest common factor of 1324822 and 3034. 74 Calculate the highest common factor of 71 and 2013475439. 71 Calculate the greatest common factor of 24989891 and 207. 23 Calculate the greatest common factor of 54964 and 825734. 182 What is the highest common divisor of 48 and 192562000? 16 Calculate the highest common factor of 351 and 25181091. 351 Calculate the highest common divisor of 2610 and 62603982. 522 Calculate the highest common divisor of 792 and 227618721. 99 What is the highest common factor of 278832 and 35434272? 7536 What is the greatest common divisor of 1424750 and 230? 10 Calculate the highest common divisor of 46247 and 4596169. 103 Calculate the greatest common factor of 90063182 and 11. 11 What is the greatest common divisor of 5255 and 17096617? 1051 What is the greatest common divisor of 1909 and 6915311? 83 What is the greatest common factor of 2531348060 and 769? 769 What is the highest common divisor of 22803 and 33? 33 What is the highest common divisor of 724735872 and 7252? 7252 Calculate the greatest common factor of 953140471 and 1101. 367 What is the greatest common factor of 7136 and 4158688? 32 Calculate the greatest common factor of 10 and 20010208. 2 What is the greatest common factor of 12801238 and 5916? 986 What is the greatest common factor of 98288 and 123632? 16 Calculate the greatest common divisor of 4102 and 22512362. 586 Calculate the greatest common factor of 46650895 and 922. 461 Calculate the highest common divisor of 34448 and 672192436. 8612 Calculate the highest common factor of 7840 and 13575058. 98 Calculate the highest common factor of 228 and 178997955. 57 Calculate the greatest common factor of 13670 and 22770. 10 Calculate the highest common factor of 1854880 and 3680. 160 What is the greatest common factor of 11628666 and 8610? 1722 Calculate the greatest common divisor of 2205896 and 36421. 77 Calculate the highest common divisor of 1159 and 834461. 19 What is the greatest common divisor of 9394319 and 77? 11 Calculate the highest common factor of 40548 and 75020. 124 What is the greatest common factor of 115062 and 461154? 906 Calculate the greatest common divisor of 2598540 and 273. 21 Calculate the greatest common divisor of 5240559 and 102351. 939 What is the highest common divisor of 28032 and 132276? 876 Calculate the greatest common factor of 188255 and 302795. 115 What is the greatest common factor of 847 and 1797887? 7 What is the greatest common factor of 5594464 and 1106? 158 Calculate the greatest common factor of 16 and 4129060. 4 What is the highest common divisor of 51062 and 3883858? 242 What is the greatest common factor of 1169738937 and 9? 9 Calculate the greatest common divisor of 9843 and 936751. 17 Calculate the highest common divisor of 522329 and 1843. 19 Calculate the greatest common divisor of 756 and 965034. 378 What is the highest common factor of 4032320 and 60? 20 What is the greatest common divisor of 616101 and 138? 69 Calculate the greatest common factor of 519 and 22929. 3 Calculate the greatest common factor of 60967 and 7749. 41 What is the greatest common divisor of 30 and 124503330? 30 Calculate the highest common divisor of 3315620 and 8470. 770 Calculate the greatest common divisor of 497763519 and 347. 347 Calculate the highest common divisor of 80 and 1810360. 40 What is the greatest common factor of 3991020 and 300? 60 Calculate the greatest common factor of 113099 and 101115. 749 Calculate the highest common factor of 710739 and 86013. 4527 What is the greatest common divisor of 250752 and 6336? 192 Calculate the greatest common divisor of 87054772 and 593. 593 What is the highest common divisor of 130 and 62356960? 10 Calculate the greatest common factor of 580834 and 3154. 166 Calculate the greatest common factor of 96 and 144798492. 12 Calculate the highest common divisor of 691084388 and 7864. 3932 Calculate the highest common factor of 194756 and 1444. 4 Calculate the greatest common divisor of 1720019 and 469. 7 What is the greatest common divisor of 84 and 1277418? 6 What is the greatest common divisor of 729 and 12019752? 729 What is the greatest common factor of 954 and 35437761? 477 Calculate the highest common factor of 4343 and 14089079. 43 Calculate the highest common factor of 2005666 and 2002. 26 Calculate the highest common divisor of 67424 and 142884. 196 Calculate the highest common divisor of 3649 and 210863. 41 Calculate the highest common divisor of 163734 and 9831. 87 Calculate the greatest common factor of 53865 and 1862665. 665 What is the highest common divisor of 160819302 and 2? 2 What is the highest common divisor of 925 and 4263584? 37 What is the highest common factor of 76838 and 30213? 373 Calculate the highest common divisor of 350 and 109667300. 50 Calculate the highest common divisor of 896972 and 3816. 212 Calculate the highest common factor of 688 and 2745292. 172 Calculate the highest common divisor of 767062897 and 167. 167 What is the greatest common divisor of 70 and 60313780? 10 What is the greatest common divisor of 8978583 and 57? 57 Calculate the highest common factor of 554 and 53236. 2 What is the greatest common factor of 1550 and 430870? 10 What is the greatest common factor of 1332 and 526356? 36 What is the highest common divisor of 84 and 789999? 21 What is the greatest common factor of 9532 and 65982887? 2383 What is the highest common divisor of 4028310 and 31590? 1170 What is the greatest common factor of 1240 and 29802? 2 Calculate the highest common divisor of 12 and 30782595. 3 Calculate the greatest common divisor of 1721 and 1355. 1 Calculate the greatest common factor of 36 and 19325028. 12 Calculate the highest common divisor of 1379 and 116487. 7 Calculate the highest common factor of 19036 and 102285187. 4759 Calculate the highest common factor of 228232 and 98324. 188 Calculate the greatest common divisor of 2709116275 and 1475. 1475 What is the greatest common factor of 1226206199 and 14122? 7061 What is the greatest common factor of 288454122 and 4266? 4266 What is the greatest common divisor of 122800 and 5250? 50 What is the highest common factor of 7570572 and 433? 433 Calculate the highest common divisor of 1491 and 10028963. 497 What is the greatest common factor of 4562943 and 759? 33 Calculate the highest common factor of 15858320 and 32. 16 Calculate the highest common divisor of 22838 and 18046828. 1202 Calculate the greatest common factor of 288 and 16796052. 36 Calculate the greatest common factor of 418 and 111112342. 418 Calculate the greatest common factor of 812238 and 5825. 233 Calculate the greatest common divisor of 2179552 and 864. 32 What is the greatest common factor of 2172 and 975199764? 2172 What is the greatest common divisor of 1027904 and 3392? 64 Calculate the highest common divisor of 36 and 181561806. 18 Calculate the highest common factor of 2943185 and 105. 35 Calculate the highest common factor of 176354771 and 87. 29 What is the highest common factor of 4338834 and 9060? 906 What is the greatest common divisor of 1705 and 118756? 11 What is the highest common factor of 50085 and 93928455? 2385 What is the greatest common factor of 1452352 and 768? 64 What is the greatest common factor of 496 and 9622? 2 Calculate the greatest common divisor of 147 and 168326760. 147 Calculate the highest common divi
{ "pile_set_name": "DM Mathematics" }
- 12612*c**2/5 + 216*c + 12606/5 = 0. Calculate c. -11, -1, 1, 191 Suppose -a**4 - 3*a**3 + 47*a**2 + 147*a + 98 = 0. Calculate a. -7, -2, -1, 7 Solve 3*i**2 - 3885*i + 19350 = 0 for i. 5, 1290 Factor 2*h**3 - 44854*h**2 + 89702*h - 44850. 2*(h - 22425)*(h - 1)**2 Solve 2*u**4/13 + 11826*u**3/13 - 47328*u**2/13 + 47336*u/13 = 0 for u. -5917, 0, 2 Find k such that 131*k**2/4 - 79*k + 27 = 0. 54/131, 2 Find p, given that -8*p**4/11 + 50*p**3/11 + 516*p**2/11 + 882*p/11 = 0. -3, 0, 49/4 Factor o**2/4 + 61385*o/2 + 3768118225/4. (o + 61385)**2/4 Factor -3*i**4/2 + 81*i**3/2 - 255*i**2. -3*i**2*(i - 17)*(i - 10)/2 Factor -12804959281*k**2/8 + 113159*k - 2. -(113159*k - 4)**2/8 Solve 2*o**4 + 106*o**3/3 + 214*o**2/3 - 3866*o/3 - 5060 = 0 for o. -11, -23/3, -5, 6 Factor -4*j**4 + 7002*j**3/5 + 198774*j**2/5 + 1818126*j/5 + 5498118/5. -2*(j + 9)**3*(10*j - 3771)/5 Suppose -40*l**4 + 7556*l**3 - 57164*l**2 - 5792*l = 0. What is l? -1/10, 0, 8, 181 Factor -c**3/2 + 603*c**2/2 + 908*c + 606. -(c - 606)*(c + 1)*(c + 2)/2 Factor -2*f**2/7 + 80*f - 4878/7. -2*(f - 271)*(f - 9)/7 Solve 12*v**3/7 - 54100*v**2/7 - 90192*v/7 - 36080/7 = 0 for v. -1, -2/3, 4510 Factor -2*n**2/5 - 21687*n/5 + 10844/5. -(n + 10844)*(2*n - 1)/5 Find d such that d**4/2 - 61*d**3/2 - 1704*d**2 + 2088*d + 20736 = 0. -36, -3, 4, 96 Factor 2*g**2 + 178934*g - 357876. 2*(g - 2)*(g + 89469) Determine a so that 2*a**5/5 - 486*a**4/5 + 26326*a**3/5 - 498658*a**2/5 + 2841072*a/5 - 2368256/5 = 0. 1, 8, 29, 176 Let -706*c**4/5 + 9882*c**3/5 + 10618*c**2/5 + 6*c = 0. What is c? -1, -1/353, 0, 15 What is p in 5*p**2 - 915*p + 20410 = 0? 26, 157 What is i in 9*i**4 - 1101*i**3 - 25200*i**2 + 9252*i + 17040 = 0? -20, -2/3, 1, 142 Find v such that 3*v**3 + 198*v**2 + 2589*v + 4410 = 0. -49, -15, -2 Factor -4*g**2/7 - 12140*g/7 - 12136/7. -4*(g + 1)*(g + 3034)/7 Let -4*k**4 + 260*k**3 - 2504*k**2 - 58064*k - 103968 = 0. What is k? -9, -2, 38 Suppose 22*t**2/5 + 966*t/5 + 944/5 = 0. Calculate t. -472/11, -1 Solve u**2 + 27339*u + 27338 = 0 for u. -27338, -1 Factor -10*z**2/3 + 5948*z/3 - 1584. -2*(z - 594)*(5*z - 4)/3 Solve -2*l**2/13 - 2800*l/13 + 82882/13 = 0 for l. -1429, 29 Factor -2*v**3 - 1560*v**2 + 652800*v - 56320000. -2*(v - 160)**2*(v + 1100) Factor -3*b**2/5 + 818946*b/5 - 55889379243/5. -3*(b - 136491)**2/5 Factor 5*q**5/7 + 2502*q**4/7 + 1000*q**3/7. q**3*(q + 500)*(5*q + 2)/7 Factor 2*u**3 - 3722*u**2 + 25980*u - 44496. 2*(u - 1854)*(u - 4)*(u - 3) Factor 2*f**3/21 + 4184*f**2/21 - 16760*f/21 + 16768/21. 2*(f - 2)**2*(f + 2096)/21 Determine g so that 2*g**5/7 - 198*g**4/7 + 738*g**3/7 + 2078*g**2/7 + 1140*g/7 = 0. -1, 0, 6, 95 Determine z, given that -3*z**4/4 + 423*z**3/4 - 18711*z**2/4 + 255057*z/4 - 219303/2 = 0. 2, 21, 59 Solve g**2/3 - 602*g/3 + 3880 = 0. 20, 582 Factor b**3/3 - 338*b**2/3 + 20719*b/3 - 6794. (b - 258)*(b - 79)*(b - 1)/3 Factor 5*l**4/2 + 2770*l**3 - 5545*l**2/2. 5*l**2*(l - 1)*(l + 1109)/2 Factor y**3/2 - 2913*y**2/2 + 1455*y + 2912. (y - 2912)*(y - 2)*(y + 1)/2 Factor c**3 + 5147*c**2 - 118888*c + 113740. (c - 22)*(c - 1)*(c + 5170) Let 20*f**3 - 1488*f**2 - 241148*f + 96696 = 0. What is f? -79, 2/5, 153 Let -5*w**4 + 920*w**3 - 6270*w**2 + 13320*w - 7965 = 0. Calculate w. 1, 3, 177 Find c, given that -2*c**2/15 + 308*c/15 - 608/15 = 0. 2, 152 What is p in -2*p**3/9 - 16*p**2 + 1094*p/9 - 316/3 = 0? -79, 1, 6 Let -3*z**2/4 - 11355*z/4 + 42750 = 0. Calculate z. -3800, 15 Solve -248*o**5/7 - 318*o**4/7 + 176*o**3/7 + 316*o**2/7 + 72*o/7 + 2/7 = 0. -1, -1/4, -1/31, 1 Determine q, given that 3*q**3 + 1410*q**2 - 4257*q = 0. -473, 0, 3 Factor d**2/5 + 9333*d/5 - 9334/5. (d - 1)*(d + 9334)/5 Suppose -y**3/8 - 1295*y**2/2 + 10363*y/8 - 2591/4 = 0. Calculate y. -5182, 1 Determine o, given that -o**5/5 + 71*o**4/5 - 47*o**3 - 443*o**2 + 236*o/5 + 2144/5 = 0. -4, -1, 1, 8, 67 Let -j**4/2 + 1151*j**3 - 36559*j**2/2 - 19431*j = 0. What is j? -1, 0, 17, 2286 Let 38*h**3/11 + 74*h**2/11 - 262*h/11 + 150/11 = 0. What is h? -75/19, 1 Let u**2/2 - 72319*u/2 = 0. What is u? 0, 72319 Suppose 68*a**3 + 53932*a**2 + 6344*a = 0. Calculate a. -793, -2/17, 0 Solve -2*y**5/7 - 18*y**4 - 250*y**3 + 8670*y**2/7 + 36432*y/7 + 26136/7 = 0 for y. -33, -2, -1, 6 Suppose -2*i**5 + 852*i**4 + 8*i**3 - 3408*i**2 = 0. What is i? -2, 0, 2, 426 Find t, given that -2*t**3/9 - 3638*t**2/9 - 50510*t/9 + 18050/3 = 0. -1805, -15, 1 Find a, given that a**5 + 469*a**4 - 472*a**3 - 940*a**2 = 0. -470, -1, 0, 2 What is b in -5*b**3 - 145*b**2 + 1825*b - 4875 = 0? -39, 5 Factor 621*v**3 + 68325*v**2 + 1880175*v + 45375. 3*(v + 55)**2*(207*v + 5) Solve 2*j**3/13 - 563690*j**2/13 + 1127374*j/13 - 563686/13 = 0 for j. 1, 281843 Find w such that w**5/8 + 218*w**4 - 12249*w**3/8 + 1753*w**2 + 3502*w = 0. -1751, -1, 0, 4 Factor -d**2/2 + 1804*d + 10833/2. -(d - 3611)*(d + 3)/2 What is m in -2*m**3/5 - 966*m**2 - 4788*m/5 + 19312 = 0? -2414, -5, 4 Find o such that o**4 + 84*o**3 + 476*o**2 + 624*o = 0. -78, -4, -2, 0 Suppose -3*q**5/5 + 138*q**4/5 - 1428*q**3/5 - 3432*q**2/5 = 0. What is q? -2, 0, 22, 26 Suppose 57122*p**3/11 - 109512*p**2/11 - 9366*p/11 - 196/11 = 0. Calculate p. -7/169, 2 Find o such that 5*o**5 + 3390*o**4 + 13465*o**3 - 10200*o**2 - 60660*o = 0. -674, -3, 0, 2 Determine d, given that d**2/4 - 45*d/2 - 73051/4 = 0. -229, 319 Factor -3*s**3/8 + 87*s**2/4 + 13905*s/8. -3*s*(s - 103)*(s + 45)/8 Let 2*t**4 + 30850*t**3 + 92536*t**2 + 61688*t = 0. Calculate t. -15422, -2, -1, 0 Let -3*a**3/7 + 267*a**2/7 + 1980*a/7 + 3456/7 = 0. Calculate a. -4, -3, 96 Factor 18*y**3 - 39806*y**2 + 159200*y/9 - 5896/3. 2*(y - 2211)*(9*y - 2)**2/9 Solve -2*h**4/15 - 718*h**3/5 - 198594*h**2/5 - 563922*h = 0 for h. -531, -15, 0 Find q, given that -2*q**3/9 + 56*q**2/9 - 448*q/9 + 1024/9 = 0. 4, 8, 16 Factor n**3 + 169*n**2 - 2896*n + 11840. (n - 8)**2*(n + 185) Let -2*x**5/21 + 32*x**4/7 - 670*x**3/21 - 12640*x**2/21 + 32*x + 1792/3 = 0. Calculate x. -8, -1, 1, 28 Solve 2*p**5 - 512*p**4 + 23730*p**3 + 1228988*p**2 - 94952*p - 4907760 = 0 for p. -30, -2, 2, 143 Factor -3*w**3/7 + 8973*w**2/7 - 268731*w + 102350547/7. -3*(w - 2769)*(w - 111)**2/7 Factor 39*f**2/2 - 249*f/4 + 45/4. 3*(f - 3)*(26*f - 5)/4 Solve 2*b**4/15 + 334*b**3/15 - 15228*b**2/5 - 380992*b/15 - 154432/3 = 0. -254, -4, 95 Solve -5*s**4 + 120*s**3 + 648000*s**2 + 84800000*s = 0. -200, 0, 424 Factor -5*z**3/3 - 316*z**2/3 - 1221*z - 240. -(z + 15)*(z + 48)*(5*z + 1)/3 Suppose -6241*j**2/6 + 252326*j/3 - 5100818/3 = 0. Calculate j. 3194/79 Determine g so that 7*g**4/2 - 718*g**3 + 1619*g**2/2 + 1327*g - 204 = 0. -1, 1/7, 2, 204 Let -5*q**4 + 2920*q**3 - 37230*q**2 + 65720*q - 31405 = 0. What is q? 1, 11, 571 Factor -2*o**4 + 3032*o**3 - 1136936*o**2 - 9241536*o - 18580608. -2*(o - 762)**2*(o + 4)**2 Find k, given that -5*k**4 + 3535*k**3 - 762795*k**2 + 31044365*k + 4210512020 = 0. -52, 253 Determine m so that 2*m**5/11 + 92*m**4/11 + 908*m**3/11 + 3248*m**2/11 + 4130*m/11 + 1700/11 = 0. -34, -5, -1 Determine b so that 21*b**3 - 19*b**2 - 21*b + 19 = 0. -1, 19/21, 1 Factor -11*m**2/4 + 311*m/2 - 378. -(m - 54)*(11*m - 28)/4 Determine z, given that 3*z**4 - 9*z**3 - 13977*z**2 + 22785*z + 16206750 = 0. -50, -45, 49 Factor -3*n**2/7 + 17715*n/7 + 17718/7. -3*(n - 5906)*(n + 1)/7 Find j such that -j**2/4 - 239*j/4 - 235 = 0. -235, -4 Factor -5*o**3 + 3435*o**2 - 156240*o + 1840320. -5*(o - 639)*(o - 24)**2 Let 2*d**2/11 - 1102*d/11 + 6540/11 = 0. What is d? 6, 545 Factor 3*n**2/7 - 79326*n/7 - 45336. 3*(n - 26446)*(n + 4)/7 Factor -g**5/4 - 1245*g**4/4 + 2493*g**3/4 - 1247*g**2/4. -g**2*(g - 1)**2*(g + 1247)/4 What is l in 5*l**2 + 487650*l + 11890126125 = 0? -48765 Suppose 4*g**3 - 320*g**2 - 5916*g + 20520 = 0. Calculate g. -18, 3, 95 Find k, given that 3*k**4/2 - 369*k**3/2 + 1884*k**2 - 3978*k - 6048 = 0. -1, 6, 112 Determine t, given that 5*t**4 + 592*t**3 + 14581*t**2 - 9202*t - 5976 = 0. -83, -36, -2/5, 1 Find f such that 5*f**4 + 1035*f**3 - 94545*f**2 + 185965*f - 92460 = 0. -276, 1, 67 Factor -5*q**2 + 987440*q - 48751887680. -5*(q - 98744)**2 Suppose -2*u**2/11 - 10246*u/11 + 10248/11 = 0. What is u? -5124, 1 Factor -2*t**3 + 166*t**2 + 1552*t - 8736. -2*(t - 91)*(t - 4)*(t + 12) Factor 2*v**3/15 - 52*v**2 + 3094*v/15 - 772/5. 2*(v - 386)*(v
{ "pile_set_name": "DM Mathematics" }
8/216)/(2/(-21))? -7/3 -1*(-1*6)/(-3) -2 Calculate 18/4*16/288. 1/4 6*(-2)/(-1*(-4)/(-1)) 3 Evaluate 1*5/(1140/(-12)). -1/19 What is 2/(3*3/18)? 4 What is 0*(8/(-20))/(16/20)? 0 What is the value of 20/(-2)*((-10)/4)/(-5)? -5 What is the value of ((-5)/(-4))/(1050/336)? 2/5 What is (-4)/12*4*1/(-6)? 2/9 Evaluate ((-33)/22)/((7/(-6))/7). 9 What is (4/38)/((-93)/93)? -2/19 11/((-66)/(-4))*(-6)/7 -4/7 ((-8)/((-8)/(-3)))/(27/6) -2/3 Evaluate ((-18)/(-12))/((-3)/24*-3). 4 What is the value of ((-8)/(-140)*7)/(-3)? -2/15 Calculate (-3)/4*(-1)/(6/2). 1/4 What is the value of ((-15)/(-50))/((-10)/25)? -3/4 What is 7/924*18*8/6? 2/11 Calculate (12/10)/((-26)/65). -3 What is 5/30*-8*(-6)/(-20)? -2/5 What is (-11)/(121/(-66))*1/(-8)? -3/4 (1/((-1)/(-1)))/(8/(-4)) -1/2 Evaluate ((-2)/(-6))/((-20)/60*1). -1 What is the value of ((-128)/12)/(-4)*30/(-20)? -4 Calculate (3/6)/((-13)/(-104))*1. 4 What is ((-4)/24)/(6/(-4))? 1/9 Evaluate ((-3)/((-2)/2))/((-198)/(-132)). 2 What is (3/14)/((-27)/(-36))? 2/7 What is ((-3)/(12/(-10)))/((-100)/200)? -5 Calculate ((-17)/(-34))/((-2)/(-28)). 7 Evaluate ((-250)/300)/(10/6). -1/2 What is (24/(-16))/(1/(4/3))? -2 What is ((-12)/(-14)*-2)/((-24)/84)? 6 Evaluate 336/(-210)*2/8*20. -8 ((-1)/3)/(1/3*1) -1 Calculate ((-9)/6)/(123/410). -5 Evaluate ((9/(-6))/(-3))/((-5)/50). -5 (16/(-28))/((-46)/(-161)) -2 What is the value of ((-66)/44)/(5/2)? -3/5 What is 5/(-3)*(-4)/((-16)/3)? -5/4 Calculate ((-3)/(-14))/((-9)/(-12)). 2/7 Evaluate (345/(-18))/(-23)*9/10. 3/4 What is ((-6)/(-4))/((-120)/40)? -1/2 Calculate (1/156)/(9/72). 2/39 Evaluate -5*(7/(-14))/(1/(-2)). -5 What is the value of (780/(-24))/(-13)*(-4)/5? -2 What is the value of (44/40)/(-11)*280/20? -7/5 Evaluate -1*(30/30)/(1*-1). 1 What is 20*(-5)/120*(-6)/1? 5 What is the value of (1*-2)/(6/(-12))? 4 What is -5*7/(-700)*-8? -2/5 Evaluate ((-5)/(-10))/((-4)/16). -2 Evaluate (4/4)/(-1)*28/(-7). 4 15*1/25*20/6 2 Calculate 1*(-21)/7*2/3. -2 What is 1*(3/2)/((-4)/(-8))? 3 Calculate ((-2)/4)/(792/(-96))*9. 6/11 (2/(-5))/((-17)/85) 2 Evaluate (38/(-38))/((-9)/(-4)). -4/9 What is -4*8*-8*(-14)/(-448)? 8 What is the value of 3/(10/(-490)*-21)? 7 Evaluate (-10)/(6*(-7)/(-126)*3). -10 9/15*12/(-54) -2/15 What is the value of (-6)/8*(-3232)/303? 8 Evaluate (2/2)/(1/((-32)/8)). -4 Calculate ((-56)/56)/((-3)/(-12)). -4 What is (24/44)/(4/44)? 6 What is (-5)/2*(18/(-3))/3? 5 What is (-8)/(-10)*(-9)/6? -6/5 What is the value of (11/(99/(-4)))/2*-1? 2/9 What is the value of (((-7)/(-5))/((-4)/20))/1? -7 What is (6/(-78)*-13)/(-1)? -1 What is the value of (-11)/(-264)*132*-1*2? -11 Calculate (6/(-10))/(5/75). -9 ((-1)/(-4)*-1)/((-168)/(-64)) -2/21 Calculate 6/144*-2*1*-9. 3/4 Evaluate (4/(-50))/((-16)/(-40)). -1/5 Evaluate (5/(1/1))/((-22)/(-22)). 5 What is (-126)/(-90)*(-4)/70*5? -2/5 What is 1/(-1)*(-1)/3*3? 1 What is (0/(-1*1))/((-122)/(-61))? 0 Calculate 1162/(-83)*(-2)/4. 7 (253/46)/((-1)/2) -11 What is 32/20*10/4? 4 Evaluate ((-9)/(1/(-1)))/((-136)/(-136)). 9 What is -2*(-4)/28*-1? -2/7 10*9/((-405)/(-6)) 4/3 What is (-2)/8*0*3/3? 0 What is (-10)/(-4)*-1*24/510? -2/17 What is the value of 160/288*(-9)/(-2)? 5/2 What is ((-200)/(-75))/((-1)/3*-2)? 4 ((-97)/388)/((-2)/(-28)) -7/2 What is the value of (-1)/((-12)/3)*140/7? 5 Evaluate 15/3*31/(-31). -5 What is the value of 36/15*-20*(-6)/48? 6 Calculate (7/(-14))/((-1)/(-20)*-6). 5/3 What is the value of 2*2/4*(-64)/448? -1/7 Evaluate -1*0*2/(-4). 0 What is ((-40)/(-3))/5*(-26)/312? -2/9 Calculate (-2)/(2/(66/11)). -6 (17/(-68))/((-10)/(-8)) -1/5 Calculate 1*3*(-9)/((-90)/2). 3/5 Evaluate (2/(-1)*-2)/((-102)/(-153)). 6 Calculate ((-16)/((-64)/42))/6. 7/4 What is the value of 4/20*10*(-4)/24? -1/3 12/18*(-6)/4 -1 (((-8)/(-14))/((-6)/(-21)))/(-1) -2 What is the value of (-10)/40*24/33? -2/11 Calculate (-12)/(1/(5/(-10))). 6 Evaluate (5/(-1))/((-5)/(75/15)). 5 Calculate ((-12)/17)/2*(-1)/3. 2/17 What is the value of (10/(-50))/(2/(-4))? 2/5 What is (3/18)/(1*1/(-3))? -1/2 Evaluate (-2*3/8)/(25/20). -3/5 ((-2)/((-40)/(-15)))/(150/80) -2/5 Evaluate ((-4)/(-12))/(2/(-2)). -1/3 Calculate (15/15)/(1/(-3)). -3 Calculate 15/(90/2)*6*4. 8 What is the value of ((-15)/(-19))/15*2? 2/19 Calculate (1*(-4)/(-10))/((-72)/(-45)). 1/4 ((-6)/(-24))/(1/4) 1 What is the value of ((-42)/(-378))/(2*4/(-12))? -1/6 Evaluate 1*((-1)/(-1))/((-14)/14). -1 Calculate ((-2)/(-24)*3)/(4/(-24)). -3/2 Calculate (0/(1*(-1)/1))/(-1). 0 (-410)/164*(-8)/10 2 Evaluate -2*2/((-8)/(-4)). -2 What is (25/(-20)*2)/((-130)/13)? 1/4 What is the value of 19/(-76)*(-1)/2? 1/8 -1*(-18)/(-27)*(-6)/(-1) -4 What is the value of ((-117)/78)/(9/(-42))? 7 Calculate (324/108)/(((-30)/(-4))/5). 2 (35/(-28))/((5/4)/(-5)) 5 Evaluate (-14)/7*(-8)/(-56). -2/7 What is the value of (4/2)/((-24)/6)? -1/2 Calculate (42/189)/(2/(3/(-3))). -1/9 Evaluate (24/15)/((-1)/(-10)*-4). -4 What is the value of (-12)/9*((-10)/(-12))/(-5)? 2/9 Calculate (2/2)/(7/(-98)*-14). 1 Calculate (0/6)/(6/(-6)). 0 What is the value of (-1)/((8/20)/((-28)/(-35)))? -2 (10/(-245)*-7)/(9/21) 2/3 What is the value of ((-4)/(-50))/((-5)/25)? -2/5 Calculate ((-5)/3)/((-5)/(-60)*-4). 5 What is ((-2)/6)/(7/(-6)*-1)? -2/7 Evaluate (6/72)/((7/(-2))/(-7)). 1/6 Evaluate 21/63*-3*4/(-14). 2/7 Evaluate (-2)/5*(-15)/36*-2. -1/3 Calculate ((-102)/(-1632))/((-2)/(-4)). 1/8 What is the value of 18/(-60)*2*(-3)/9? 1/5 Evaluate 10/(-15)*(-6)/(-26). -2/13 What is the value of 1*1/(-1)*210/(-245)? 6/7 What is 324/(-27)*4*(-4)/(-64)? -3 8/144*10*3 5/3 (-48)/84*(-42)/4 6 (((-260)/39)/(-10))/(17/3) 2/17 Evaluate (8/348)/((104/24)/13). 2/29 5/((-80)/12)*(-36)/9 3 Calculate ((21/(-12))/(-7))/((-1)/4). -1 What is (4/(-6))/(-1*3)? 2/9 What is the value of 16/(-26)*((-55)/(-20))/11? -2/13 What is the value of (50/(-200))/(18/16)? -2/9 Evaluate 3*1/((-3)/4). -4 What is the value of (-8)/12*3/5? -2/5 Evaluate (-1)/((135/(-6))/(-9)). -2/5 Calculate (-8)/((-160)/(-10))*2/1. -1 (-10)/5*4/(-44) 2/11 What is 0*1/2*24/12? 0 Evaluate (-1*12/(-24))/(3/30). 5 What is the value of (-27)/(-18)*1/(-3)? -1/2 What is the value of (47/(-376))/((-1)/(-2))? -1/4 What is ((-3)/(-9))/(-1)*-9? 3 Calculate (-4)/((1/(-2))/((-6)/12)). -4 (-2*2/(-4))/((-198)/108) -6/11 Calculate (-4)/1*(-8)/(3520/(-30)). -3/11 What is (-11)/((-99)/18)*2/(-4)? -1 Calculate (-6)/(-225)*20/4. 2/15 Evaluate ((-5)/(-1))/((-4)/(-4)*-1). -5 What is (-528)/(-384)*4/22? 1/4 Evaluate 1/(2*(-7)/70). -5 ((-2)/(6*1))/((-9)/(-54)) -2 Calculate 2/(-175)*5*-5. 2/7 (696/(-10556))/(1*4/(-14)) 3/13 Calculate ((-6)/27)/(25/(-15)). 2/15 5/(-150)*-5*-2 -1/3 Evaluate (((-24)/(-252))/(1/2))/(-2). -2/21 Calculate (-3)/6*(-2)/(-4). -1/4 Evaluate -2*((-64)/(-40))/(-8). 2/5 What is (3/15)/((48/(-45))/(-4))? 3/4 ((-44)/42)/11*(-6)/(-4) -1/7 Calculate 3/1*(-10)/(50/15). -9 Calculate 35/(-70)*1/(-2). 1/4 What is the value of ((-3)/(-5))/(1/(10/2))? 3 (8/12)/((-18)/(-81)) 3 Evaluate (33/22)/(9/2). 1/3 What is 4/(-4)*(-4)/12*-6? -2 Evaluate ((-4)/14)/((-6)/882*-21). -2 What is (4/(-42)*-7)/(-1*2)? -1/3 Calculate ((-4)/(-6))/(-1*24/324). -9 Evaluate ((-1)/(78/4))/((-15)/45). 2/13 4/6*11/(-22) -1/3 128/(-144)*(-2)/(-4) -4/9 (2/2)/(5/(-15)) -3 What is the value of 5*12/30*-1? -2 Evaluate (6*(-3)/(-30))/(14/10). 3/7 Calculate 1*4*(-99)/(-99). 4 Calculate ((-16)/192)/(2/(-36)). 3/2 What is the value of (1*-3)/(2*(-12)/40)? 5 (2/(8/(-6)))/((-12)/10) 5/4 Calculate (120/70)/(4/14). 6 Evaluate ((-24)/(-16))/((-54)/(-24)). 2/3 What is 1*(-13)/(-52)*-1? -1/4 Calculate (1/((-18)/(-8)))/((-24)/(-18)). 1/3 What is the value of ((-1)/(-25))/(((-48)/15)/(-8))? 1/10 Evaluate (12/72*0)/((-2)/(-2)). 0 What is the value of 4/1*(-1)/2? -2 Evaluate ((-6)/18*3)/(-1). 1 Calculate 216/54*1/36*1. 1/9 What is the value of 3*(-2)/68*48/(-36)? 2/17 What is the value of ((-12)/6)/((-6)/(-12))? -4 What is the value of 5/60*-2*-12? 2 Calculate (-3)/(9/(-5))*3. 5 What is the value of (17/((-85)/30))/(-22)? 3/11 What is 2*(((-9)/(-3))/(-1))/10? -3/5 What is the value of 8/(-32)*4*(-2)/12? 1/6 Calculate (-22)/88*(-8)/7. 2/7 What is 15/(-25)*12/(-9)? 4/5 What is the value of ((-18)/(-6))/((-5)/(35/(-7)))? 3 (-31)/(-124)*(-4)/7 -1/7 -9*18/(-81)*3/(-2) -3 (2/2*0)/3 0 What is 26/(-13)*(-4)/(-16)*2? -1 ((-2)/4)/(8/(-16)) 1 Evaluate (-204)/374*(-44)/6. 4 (-24)/(-
{ "pile_set_name": "DM Mathematics" }
- 196 + 279, r - 74 = 4*m - 9*r for m. -16 Solve -7755*x = -7750*x + 25, 22*t - 1031 = -5*x for t. 48 Solve 0 = -16*r + 165*g - 167*g + 90, -47*g - 105 = -52*g for r. 3 Solve 13*p - 50 = -3*a, -p + 155197*a - 54 = 155190*a for p. 2 Solve 7*f + 78516*l = 78519*l + 9, -6 = 2*f - 3*l for f. 3 Solve -4*b + 5*o - 13 = 0, 13 + 29 = 3*b - 7*o - 10*o + 12 for b. -7 Solve -b + 48 - 46 = -5*k, -35*b = -30*b - 3*k - 10 for b. 2 Solve -2*q - z = -24, 52*z - 55*z + 80 = 10*q for q. 2 Solve 0 = b - 3*r - 29, 12*r + 38 = -5*b + 3*b + 6 for b. 14 Solve 25*f = 4*a - 60*a + 20*f - 2861, -205 = 4*a + f for a. -51 Solve 1 = -4*j + 11*k - 44, -4*k = -5*j - 1 - 65 for j. -14 Solve -4*x + 55 = -2*x + 3*x + 35*b, b + 3370 - 3396 = 8*x for x. -3 Solve 3*o + 2*b = 24, o - 1178*b + 130 = -1171*b for o. -4 Solve 0 = -4*i + d + 6 + 13, -6*d + 5 = -4*i + 13*i - 13 for i. 4 Solve 23*w - 143 = 3*s, -11*s - 5*w + 101 = 5*w - 5*w - 0*w for s. 6 Solve 19*i - 926*y = -922*y + 78, 3*y + 42 = 6*i for i. 2 Solve 0*t - 46*l - 4775 = -t - 127*l, -3*t + 9 = 2*l - 97 for t. -4 Solve 2*d - 1714*g = -1710*g + 102, -47 = -5*d + 2*g for d. -1 Solve -1978*b + 1982*b + 2*k = -22, 103 = 2*b - 5*k for b. 4 Solve 0 = -97*b + 100*b - 4*s + 3*s + 12, -15 = 3*b - 2*s for b. -3 Solve 13*i - 34*p + 148 = -29*p + 21, 0 = 3*i - 8*i - p - 43 for i. -9 Solve -10 = 7*h + 10*k, -5 = 9934*h - 9933*h + 5*k for h. 0 Solve 7*c = -42, -2*c - 8 = 47017*t - 47015*t for t. 2 Solve 4550*p = -2*o + 4554*p - 40, 3*p = -33*o + 30 for o. 0 Solve 9*n - 52 = -31*c + 30*n - 12*n, 8 = 3*n - 3*n + n for c. 4 Solve 4*l = 2*x - 0*x - 14 + 4, 17*l + 29 = -5*x for x. 1 Solve 6*b - 5*z + 6*z - 241 = -218, -5*z = -175 for b. -2 Solve 4*g - 3*s = 124, -545*s - 156 = -3*g - 1085*s + 544*s for g. 4 Solve -3*u + 4*d + 29 = 0, -138*u + 133*u = -441*d + 445*d + 37 for u. -1 Solve -2*x + 0*x - 17*w = 3*w + 285 - 105, 2*w + 18 = 0 for x. 0 Solve -19*q - 5*u = 157, -q - 488*u - 484*u - 487*u - 6 = -1461*u for q. -8 Solve 5*p - 2*u - 29 = 0, 2*p + 6*u = -3*p + u + 50 for p. 7 Solve -3*k + s + s = -4, 1405 - 1344 = 28*k + 5*s for k. 2 Solve -4*f = 10*w - 94, -w + 0*w + 1093*f - 1091*f = -3*w + 32 for w. 5 Solve 10756*r + 12*b = 10752*r + 1028, -r - 835 = -10*b for r. 5 Solve 3*u + 10*x - 45 = 0, -14*u + 2*u + 17 = -8*u - 2*x + x for u. 5 Solve -494*a + d = -523*a - 378, 4*a + 42 = -2*d - 12 for a. -13 Solve 2*n + 2*n - 14109*y + 14101*y = 44, -3*n + 2*y = -9 for n. -1 Solve -78*r + 77*r = -9*d - 382, 0 = -d + 244 - 286 for r. 4 Solve 0 = 10*q - 24*m - 144, 61 = -2591*q + 2596*q - m for q. 12 Solve x - 52 = -47, -9*u + 21*x - 48 = 6*x for u. 3 Solve t - 3*w = 26, -83*t + 44*t + 43*t + 4*w - 56 = 0 for t. 17 Solve 2*p + 2*w = 9*w + 105, -47*p - w + 195 = -43*p for p. 49 Solve -5*u = -3*q + 1060 - 1108, 5 + 16 = -4*u - 3*q for u. 3 Solve c - 36 = -8*q, 614*c - 5*q - 45 = 609*c for c. 12 Solve 21*d - 25*d = -25*b + 27*b, -d + 6 = 2*b for b. 4 Solve 58*q + 101 = -2*u + 31, -62*u + 8 = 10*q - 65*u for q. -1 Solve 2*g + 20*q = -32, 19*q - 12*q - 16*q = -g - 76 + 98 for g. 4 Solve 0 = 2*j + 5*m - 174, 76908*m - 83 = 10*j + 76904*m + 91 for j. -3 Solve -3*w = -4*n + 1, 3*n + 2*w + 593 - 581 = 0 for n. -2 Solve -3*b = -2*g + 23, -6*b + 21*g = -9*b - 12*g - 5*g + 137 for b. -5 Solve -c + 106*o + 3997 = 107*o + 3984, -3*c + 5*o - 49 = 0 for c. 2 Solve 2*s = -5*m - 5, -17*m = -2*s + 6702 - 6641 for m. -3 Solve -p - 3*l - 8 = 128, -p + 51*l - 50*l + 40 = 0 for p. -4 Solve 2*d = 4*l - 0*d + 2 - 4, 265*d - 1015 = 62*d for l. 3 Solve -2*m - 4980753 = 4*i - 4980733, -7*m - 4*i - 40 = 0 for m. -4 Solve k + 2*v - 17 = 0, 4 - 8 = -2*k - 2*v + 12 for k. -1 Solve -4*i + 26*g - 19*g + 436 = -0*i + 29*g, -4*i + 36 = 2*g for i. -1 Solve -87 + 29 - 73 = -56*i + 93, 4*r = -3*i for r. -3 Solve 135*z + 434 = 5*v - 356 - 400, -3*v = -v + 5 + 3 + 2 for z. -9 Solve -43*f - 12 = t - 55*f, 2*t + 3*f - 109 = -25 for t. 36 Solve 2*p - 1 = -g, 3*p - 4*g = -187 - 156 + 361 for p. 2 Solve 5252 = 5*b + 6*c + 5272, 0 = 2*b + c + 1 for b. 2 Solve -6*k = s + 55, 0 = -2*s + 3*s + 11*k + 58 + 22 - 15 for s. -43 Solve -11*v = -10*v - 10, -76*u - 56*u + 5*v = 446 for u. -3 Solve 3*m - 3 = 215*v - 211*v, -4*v - 3*v + 3*m = -4*v for v. -3 Solve -w - 8*a = 34, 111*w - 56*w + 4*a = 43*w - 40 for w. -2 Solve p - 19*k + 1344 = 0, -223 = -2*p + 47*k - 50*k for p. 5 Solve 3*b - 39 = 5*n, 177*n + 58*b = 32*b + 29*b + 477 for n. 3 Solve d - 6890*a + 11 = -6895*a, d + 6*a = -13 for d. -1 Solve 0 = -5*o - 5*q - 3986439 + 3986524, 5*o + 69 = 2*q for o. -5 Solve 2*h = 15*q + 22, -3*q + 3*h + 17843 = 17837 for q. -2 Solve 10*d + 28 = h - 19, -5*h + 10*h - 137 = d for d. -2 Solve 0 = 4*l + h + 3 - 28, 2*h + 36 - 30 = 2*l - 14 for l. 7 Solve -7*m - 94 = 6*b - 5*b, 9 = -5*b - 4*m - 27 for b. 4 Solve -8*v = -2*w - 138, -v + 14 = -405*w + 408*w for v. 17 Solve 86*a - 91*a = r - 29, 38*a - 35*a - 31 = -4*r for a. 5 Solve 77913*c + 7*p = 77909*c - 65, -4*p - 56 = -4*c for c. 3 Solve -3 = -0*n - 3*n, 1783*n = -4*t + 8*t + 893*n + 894*n + 40 for t. -11 Solve -4*r - 72*f = -71*f - 12, 7*f - 84 = -7*r for r. 0 Solve -7*p + q + 34 = 0, -p - 14 - 20 = -10180*q + 10175*q for p. 6 Solve 5*k - 790*i = -743*i + 24, -5*k - i + 168 = 0 for k. 33 Solve 0 = 3*q + 4*r + 14, 46*q + 1397 - 1315 = 5*r for q. -2 Solve 72 = -3*f + 2*h, -22*f = 5*h + 3817 - 3997 for f. 0 Solve -2*s - 2*m = 178, -3*s - m - 3322 + 4157 = -13*s for s. -84 Solve -84*o + 79*o + 2*l = 87, -110*o - 2*l + 95 = -123*o for o. -1 Solve 0 = -4*b + 2*m - 26, 4735*m - 4733*m = -5*b - 19 for b. -5 Solve -4*c + 687016 = -5*i + 687048, 0*c + 7 = i - c for i. 4 Solve 4*b - 4*c - 101 = -125, 9*b + 4 = 5*b - c for b. -2 Solve 0 = -2*g + m + 4 + 11, -2*g - m - 6 = -25*g + 156 for g. 7 Solve 3*f + 5368 = -h + 5383, 10*h + 3*f - 42 = 0 for h. 3 Solve 4*a - 20 = 4*l, -3*a + 33 = -2*l + 7*l - 14*l + 4*l for a. -4 Solve 0 = -4*p - 21*g - 349, 0 = 4*p + 48*g - 44*g + 60 for p. 2 Solve 74*w + 1212 + 2281 = -3*z, z - 89 = 2*w for w. -47 Solve 3*a + 0 = 5*a + 5*v + 2, a = 2*v + 8 for a. 4 Solve 2*g - 10 = g - 4*g, -2*l - 4*g = -5*l + 52 for l. 20 Solve 0 = o - 8*h - 43, 0*h + 3*h - 19348 = -2*o - 19338 for o. 11 Solve 10 = 2*z - 10*r, -37*z - 317 = 2*r - 128 for z. -5 Solve -3*g = 136646*s - 136650*s - 71, s = 6*g - 149 for g. 25 Solve 4716*d - 4705*d + x + 92 = 0, -3*x - 28 = 2*d for d. -8 Solve -7*o + 127 = 4*z, -189*z - 23 + 64 = 11*o - 188*z for o. 1 Solve 0 = 3*z + 4*o + 15, 25077 - 25072 = z - 2*o for z. -1 Solve 2*i + 84 = 8*d, 8*i - 11 = d - 6 for i. 2 Solve q + 15 = -10*u + 238, -5*q = -38*u - 3*u + 654 + 233 for q. 3 Solve 0 = -5*g + 20, -p + 35*g - 144 = -6*p + 61 for p. 13 Solve 11*b - 4 - 98 = 3*x, -5*b + 2*b + 5 = -22 for x. -1 Solve -13*l = 33*q - 5*q - 23*q + 145, -5*l = 5*q + 105 for q. -16 Solve 27 + 12 = 2*x - r + 8, 37 - 25 = 4*r for x. 17 Solve -9*g + 3*y - 395 = -g, -4*g - 120*y = -116*y + 192 for g. -49 Solve w - 4 = 2*p, 4754046*p - 4754047*p = -5*w - 25 for p. -5 Solve 2*o = 6*u + 34, 40123*o - 40124*o - 2*u = -12 for o. 14 Solve -8*l = -5*x + 191, x = -1560*l + 1557*l + 29 for x. 35 Solve 53*v - 2*k - 148 = 67 + 32, 4*v = 5*k - 25 for v. 5 Solve 3*p - 5*l = -50, 48*l - 47*l - 33 = -7*p + 3*p for p. 5 Solve 0*t - 16 = -3*t - 1101644*z + 1101645*z - 174, 204 = -4*t - 2*z for t. -52 Solve -566*w - 230 = -556*w - 5*d, 150 = 38*w + 4*d + 12 for w. -1 Solve -116*j + 120*j = -4*q - 92, -4*q + 3 + 13 = 0 for j. -27 Solve 4*k - 252 + 180 = 30*b, -b + 5*k = 3*b + 23 for b. -2 Solve 2 = -v + 6, 2*l - 118*v + 88*v = -118 for l. 1 Solve -n - 3*b = 8, 0 = 9*n + 4*b - 553 + 556 for n. 1 Solve 3*x = 8*q - 71, 91 = -484913*q + 484911*q - 3*x for q. -2 Solve -4112*q = -4108*q - 2*g + 56, 40*g + 96 = 4*q for q. -16 Solve 155280*g = -5*r + 155268*g - 28 - 23, 3*r - 2*g = -3 for r. -3 Solve -67 = 3*v + 8*i, -12*v + 4*i - 60 - 17 = 11 for v. -9 Solve 5*j = 13*j - 3*j - 3*w + 58, -3*j - 31038 = -1343*w - 2838 for j. 1 Solve 9218874*j = 9218879*j + 3*n + 137, 5*j + 55 = -4*n - 86 for j. -25 Solve 2*k - 2*t = 64, 14*k - 338 = -10*k + 6*t - 110 for k. 2 Solve 1816*v - 154 = -19*n + 1814*v, -v = n - 9 for n. 8 Solve 29*l - 4*h - 1046 + 503 = 0, 0 = -4*h + 8 for l. 19 Solve 2*c + 9 - 39 = -2*c - i, 20*c + 10*c - 2*i = 244 for c. 8 Solve 0 = -860*t + 856*t + 5*v + 43, 3*v
{ "pile_set_name": "DM Mathematics" }
t x be ((-2)/(-5))/(f/(-20)). Which is the biggest value? (a) x (b) l (c) 0.3 b Let b = 9.65 + -0.65. Let d = b - 9.6. What is the biggest value in -0.3, 2, -5, d? 2 Let b = -37.5 + 37.8. What is the third biggest value in 3, -0.4, -14, b? -0.4 Let z = -3 - -2.9. Let f = -6732 - -6735. Which is the third biggest value? (a) -5 (b) z (c) f a Let y = 0 + 3. Let s = 0.344 - 0.424. What is the third biggest value in s, -2/11, y? -2/11 Let u = 429 - 428.836. What is the third biggest value in -1/5, u, 2/5? -1/5 Let p = -22.8 - -27. Let n = 3.9 - p. Let g be -1 + 1 + (5 - 2). Which is the second smallest value? (a) n (b) 0.03 (c) g b Let f = 24.8 + -25. Let y be ((-10)/25 + (-19)/(-10))/4. Which is the second smallest value? (a) f (b) -1/4 (c) -4 (d) y b Let z = 219.9 + -260. Let y = z - -40. What is the second smallest value in 7, y, -5, -1/7? -1/7 Let v = -3283/39 - -253/3. Let p = -0.1 + -0.1. Which is the second smallest value? (a) v (b) p (c) -5/4 b Let y = -18.6 - -18.3. What is the smallest value in 0, -3, y, 18? -3 Let m = -19 + 16. Let l = 0.292 + 27.408. Let n = 28 - l. Which is the biggest value? (a) m (b) 2.2 (c) n b Let n = 0.03 - -0.07. Let f = -0.1 + n. Let k = 0.078 - -0.322. Which is the second biggest value? (a) -0.5 (b) k (c) f c Let w(u) = -u**3 + 6*u + 2. Let g be w(-3). Let v = -28 + 12. Let d = v + g. Which is the third biggest value? (a) d (b) -2/13 (c) 7 a Suppose 5*n - 37 = 8. Let h(a) = -2*a**2 - a**2 + n + 4*a**2 + 13*a. Let s be h(-12). What is the smallest value in 3, s, -4? -4 Suppose 10*x - 343 + 313 = 0. Which is the third biggest value? (a) 32 (b) x (c) 2/3 c Let t = 0.3 - 0.6. Let i = -3.52 + 3.12. Which is the biggest value? (a) t (b) i (c) 1 (d) -1/4 c Let p = -0.95 + -1.57. Let s = 0.52 + p. Which is the third biggest value? (a) 1 (b) s (c) -5 (d) 3 b Let u = -9 - -16. Let b = u + -12. Let p = -56 + 55.6. What is the third smallest value in -1, b, p? p Let r = -1405 + 1404.5. Which is the fourth biggest value? (a) -1/6 (b) -4 (c) r (d) -6 d Let y = -0.9 - 0.3. Let r = -1.2 - y. Let m = -2 - -2.5. What is the third smallest value in 6, r, m? 6 Let q be (3/(-1 - 0))/1. Let g be (-1 + 1 - q) + -3. Which is the second biggest value? (a) g (b) 2 (c) -1 a Let p = -1.8 - -2.1. Let o = -14 + 19. Which is the smallest value? (a) o (b) -0.3 (c) p (d) 1 b Let o = -64.615 + 0.015. Let v = o + 65. What is the fourth smallest value in v, 0, -4, 3? 3 Let p = 494 - 491. Which is the second biggest value? (a) 5/4 (b) p (c) 8/3 c Let g = 1249/4 - 314. What is the third smallest value in 2, 5/3, g? 2 Suppose -41*w + w - 59*w + 1485 = 0. Let u = 0.2 - 0.3. What is the third biggest value in 3/5, w, -3, u? u Let o = -322 + 322. What is the smallest value in 2/3, 1/6, o, 7? o Let i = 21.2 + -21.7. Which is the third smallest value? (a) i (b) -4 (c) -3.4 a Let w = 554 - 4433/8. What is the smallest value in w, 1, -14? -14 Let t(p) = p**3 + 9*p**2 + 17*p + 75. Let q be t(-8). Let f be (-1)/((1 - 0)*-1). Which is the third smallest value? (a) 0.4 (b) f (c) q c Let c = -128 - -128.4. What is the fourth smallest value in c, 3, 4, -0.5? 4 Let u = -106 - -101. Which is the third smallest value? (a) -0.11 (b) -6/7 (c) u a Let u = -10 + 5. Let s = -1325 - -1329. Which is the third smallest value? (a) 0.5 (b) u (c) s c Let g = 147.1 + -146.6. What is the second biggest value in g, 0, -2/105? 0 Let i = -729/7490 + -2/749. Which is the third biggest value? (a) -3 (b) 0.3 (c) 1/5 (d) i d Let m = 899 + -901. What is the fourth smallest value in m, 4, -0.5, -3/8? 4 Suppose 18*z - 3 = 15*z + 5*v, -3 = -v. Suppose 2 = 2*u + 10. Let i be (-40)/42 - u/z. What is the smallest value in -2, i, 0.09? -2 Let m be 4/(-10) - 143/(-330)*-6. What is the biggest value in 1, -1, -2, m? 1 Let s = 566.1 - 566. What is the second biggest value in s, -5, 2/11? s Let a = 15/2 - 49/6. Let n = 4.6 - 4.7. What is the biggest value in n, a, 2/5? 2/5 Let l = 2 + -1.7. Let f = -141 + 210. Let v = 68.7 - f. Which is the biggest value? (a) 0.2 (b) l (c) v b Let g be 3*4/(-168)*-268. Let m = g + -1488/77. Which is the smallest value? (a) 3 (b) -3 (c) m (d) -6 d Let o = -0.181 - -2.181. Which is the smallest value? (a) -0.4 (b) -1.7 (c) 0 (d) o b Let w = -1/200 + -119/200. What is the fourth smallest value in -6, 2, -0.2, w? 2 Let k be (4 - 10/15)/(330/(-45) - -8). Let s = -0.4 - -0.7. Which is the third smallest value? (a) -2/11 (b) s (c) 3 (d) k c Let m be 1/(-3) - 1/(-9). Let k = -4.693 - -4.593. Which is the smallest value? (a) 0.2 (b) k (c) m c Suppose 3*z + 3*n = z, 3 = z + 3*n. Let p = 7 + z. Let w be p/(-10) - (-17)/5. What is the smallest value in 1, 0.4, w? 0.4 Let m be (-6)/(-10)*(-20)/(-60). Suppose 3*p + 35 = -5*g, -g + 2*g + p + 9 = 0. Let f = -6 - g. What is the smallest value in m, f, 2/5? f Let z = 4.7 - -0.3. Let l = z + -6. Which is the third biggest value? (a) -5 (b) 0.3 (c) l a Let p = 93 + -62. Let b = p - 34. What is the fourth biggest value in 4, b, -5, 1/7? -5 Let w = -183.2 + 183. Which is the third biggest value? (a) w (b) -7 (c) 8 b Let g = -0.9 + 0.4. Suppose y + 9 = 11. Suppose y*j + 3*w + 4 = w, j - w = 2. Which is the second biggest value? (a) j (b) 5 (c) g a Let l = 30 - 125. Let q = 94.27 + l. Let w = q - 0.27. Which is the third smallest value? (a) -2/9 (b) w (c) 5 c Let i be (-1)/(18/4 - -2). Let u = -268.3 - -270.3. What is the third smallest value in i, 0, u, -2? 0 Let l be (2/5)/(11 - (-168)/(-16)). What is the second smallest value in -4, -1/4, l, -46/5? -4 Let j = 544/942975 - -10/4191. Which is the second biggest value? (a) -3 (b) j (c) 0.4 b Let r = 0.1 + 0.9. Let m = r - 6. Let u = -1329 + 1335. What is the third smallest value in -4, u, m? u Let o be ((-6)/12)/(-1) - 445/10. What is the third biggest value in 2/5, -0.4, 3, o? -0.4 Let g = -739 + 787. What is the biggest value in 0.4, g, 3? g Suppose 50*y + 228 = 38*y. Which is the second smallest value? (a) y (b) 3 (c) -3 c Let p = 684/5 - 137. What is the second biggest value in 3/4, 0, p? 0 Let r = 572/3 + -190. Which is the second biggest value? (a) 4 (b) -18/13 (c) r c Let p be -4*-6*(-4)/(-64). Let h = 1.2 + 0.5. Let z = 3.7 - h. Which is the smallest value? (a) p (b) z (c) 0.1 c Suppose -390 = 6*s - 360. What is the second biggest value in s, -1/6, 20.4? -1/6 Let x = 4 + -4.4. Let u = x + -0.1. Let w = -22872 + 160108/7. Which is the smallest value? (a) 5 (b) u (c) w b Let d = 96 - 96.9. Which is the second biggest value? (a) -3 (b) 0.7 (c) d c Let s(p) = -p**2 - p - 1. Let k be s(-2). Let g be ((-2)/(-4))/(k/54). Let n be 3/(-9)*g/21. What is the smallest value in n, -3, 2? -3 Let t = 16.7 + -0.7. Let w = -3.71 - -1.71. Which is the third smallest value? (a) -0.4 (b) w (c) t c Let u = 1674 + -1674.1. What is the third smallest value in u, 1/3, 1, 2? 1 Let y be ((-110)/(-75) + -1)*236/(-294). Let n = y - -4/45. Let i = -0.11 - 4.89. What is the second smallest value in -0.5, n, i? -0.5 Let u = -1.783 + -0.017. Let j = 3.8 + u. What is the second smallest value in 5, 1/2, j, -2/7? 1/2 Let u = 0.972 + -1.072. What is the third biggest value in 4, u, -2? -2 Let j be ((-12)/30)/((-2)/10). Let t be 52/(-32) - j/(-1). Which is the third biggest value? (a) t (b) -0.1 (c) -1 c Let v = -1456.28 - -1456. What is the biggest value in 5, 0.4, -4, v? 5 Let x = -423 - -418. Which is the biggest value? (a) x (b) -0.2 (c) 1/3 (d) 0.148 c Let q = 17.5 - 17.8. Which is the biggest value? (a) 8 (b) 0 (c) q (d) 4 a Let x = -0.634 + -0.366. Suppose -5*r + 2*u = -u, 3*r - 2*u + 1 = 0. Which is the second biggest value? (a) r (b) -9 (c) x (d) 2/3 d Let u = 69.2 + 19.8. Let o = u + -89.04. Which is the third biggest value? (a) -2 (b) -3 (c) o b Let y be ((-285)/38)/(-3 - 2). Let l be ((-2)/(-21))/((-1)/(-3)). Which is the smallest value? (a) 0.08 (b) y (c) l a Let z = 255 - 257. Let o = 3 - 7. Which is the fourth smallest value? (a) -5 (b) 7 (c) z (d) o b Let m = -518 + 488.3. Let h = m - -30. What is the third smallest value in -5, -7/3, h? h Let b = -2.4 - -2.52. Let x = b - -0.18. What is the second biggest value in 10, -2/13, x? x Let t = -6.12 - -6.02.
{ "pile_set_name": "DM Mathematics" }
+ 34*y*z**2 - 44260*y What is the third derivative of 2121*k**6 - 9*k**5 - 357*k**3 - 2*k**2 - 1106050*k wrt k? 254520*k**3 - 540*k**2 - 2142 What is the derivative of -7417552*w**4 + 3*w + 966475794? -29670208*w**3 + 3 What is the third derivative of -3125257*m**3 + 17*m**2 + 4347*m - 3? -18751542 Find the third derivative of 6007663*m**3*o**3 + 2*m**3*o**2 - 2*m**3 - 79820*m**2 + m*o**2 + m + o wrt o. 36045978*m**3 What is the third derivative of 1278619*d**4 - 40767862*d**2 wrt d? 30686856*d Find the second derivative of -13525082*b**2 - 44491036*b. -27050164 What is the derivative of -35714*g**3*x**2 + g**3 + 93142*g**2 + 491*g*x**2 + 4*g + 8 wrt x? -71428*g**3*x + 982*g*x Find the third derivative of 5900*m**4 + 1016*m**3 + 54*m**2 + 1239*m + 181. 141600*m + 6096 Find the second derivative of -117276677*v**2 + 9320933*v + 9 wrt v. -234553354 Differentiate -2*g**3*z + 3*g**3 + 2697632*g + 18547922*z with respect to g. -6*g**2*z + 9*g**2 + 2697632 Differentiate 14873503*r - 4997406. 14873503 What is the second derivative of -51465146*w**5 + w + 7735611? -1029302920*w**3 Find the third derivative of 2*f**6 + 1540*f**4 + 1729*f**3 - 2937373*f**2 - 10 wrt f. 240*f**3 + 36960*f + 10374 What is the third derivative of 92162162*x**3 - 485626*x**2 + 7 wrt x? 552972972 Find the second derivative of -7*a**2*b**2*p + 2385*a**2*b + 60*a**2*p**2 + a - b**2*p**2 + 97221*b*p**2 - 2*p**2 wrt a. -14*b**2*p + 4770*b + 120*p**2 What is the derivative of 932074669*u**3 + 948149690 wrt u? 2796224007*u**2 What is the second derivative of -z**4 - 219*z**3 - 1872*z**2 - 57420*z - 46 wrt z? -12*z**2 - 1314*z - 3744 What is the second derivative of -4*m*n**2*w - 5*m*n**2 + 5*m*n + 21*m*w + 7231*n**2*w + 2*n**2 - 2*n + 4529*w wrt n? -8*m*w - 10*m + 14462*w + 4 What is the first derivative of -4*o*q**2 + 2*o*q - 1536639*o + 24108677*q**2 wrt o? -4*q**2 + 2*q - 1536639 What is the second derivative of 381158652*w**2 + 343*w - 42350? 762317304 Find the second derivative of -3591323*v**2 - 11885980*v. -7182646 Differentiate -122585*u**4 - 237*u**2 - 233227762. -490340*u**3 - 474*u Find the second derivative of 74964205*z**2 - 13*z - 158992. 149928410 Find the second derivative of 110128972*p**3 - 28987355*p. 660773832*p Find the second derivative of -2*j**5 + 1419743*j**2 - 2*j - 6086838 wrt j. -40*j**3 + 2839486 Differentiate 454*g*x*z - 46808*g*z - 860*x*z + 2*x - 2*z - 227 wrt g. 454*x*z - 46808*z What is the derivative of -2*y**3 + 2812*y**2 + 32*y + 4433148? -6*y**2 + 5624*y + 32 Differentiate -62*p*w**2 - 5*p*w - 1350977*p + 21933*w**2 with respect to w. -124*p*w - 5*p + 43866*w What is the third derivative of 6526057*l**6 - 2811651*l**2? 783126840*l**3 Find the third derivative of -10848236*n**5*t**2 + n**3*t**2 + 216*n**2*t**2 - 9*n*t**2 - 14*n*t + 3*t**2 wrt n. -650894160*n**2*t**2 + 6*t**2 What is the third derivative of 1485246*f**2*k**3 - 1347*f**2*k**2 - 2*f**2 - 4*f*k**4 + 5839*f*k**2 - 3*f wrt k? 8911476*f**2 - 96*f*k Find the second derivative of 39723804*y**3 + 7938977*y. 238342824*y Find the second derivative of 153862483*c**2*o - 133*c*o - 45*c + 325*o + 3 wrt c. 307724966*o What is the second derivative of 309901*h**3 - 296*h**2 + 268681836*h? 1859406*h - 592 Differentiate 4*q**4 + 137*q**3 + 273*q**2 - q + 5431507 wrt q. 16*q**3 + 411*q**2 + 546*q - 1 Differentiate 53219304*a**4 + 70039187 wrt a. 212877216*a**3 What is the second derivative of 42024103*d**3 - 5122866*d wrt d? 252144618*d What is the derivative of -140436147*b**2*q + 159440767*b**2 wrt q? -140436147*b**2 What is the third derivative of 25151089*d**3 - 2*d**2 - 1361*d - 2820 wrt d? 150906534 What is the second derivative of 29487394*a*v**4 - a*v**2 - 73829*a*v + 2*a - 21*v wrt v? 353848728*a*v**2 - 2*a What is the first derivative of 272*o**3 - 5482*o**2 - 10*o + 400282844 wrt o? 816*o**2 - 10964*o - 10 What is the third derivative of 33091*k**4 + 669*k**3 + 750179064*k**2 - 2*k? 794184*k + 4014 What is the third derivative of 54*j**5 - 286588*j**4 - j**3 + j**2 - 9*j + 473647 wrt j? 3240*j**2 - 6878112*j - 6 Differentiate w**2*x + 500*w**2 - 14973589*x**2 - 5823 with respect to x. w**2 - 29947178*x Differentiate 1237431*b**2*d**3 - 7*b**2 + b*d**3 - 15*d**3 - 2*d**2 - 510190*d wrt b. 2474862*b*d**3 - 14*b + d**3 Find the third derivative of -15533056*x**4 - 126*x**2 + 2*x + 8398 wrt x. -372793344*x What is the first derivative of -241*v*w + 71094968*v + 5722*w + 2 wrt w? -241*v + 5722 Find the second derivative of 2*f*o**5 - 2*f*o**2*t**3 - 2*f*o*t**3 + 361*f*o*t - 2282245*o**2 - 241*o*t - t**3 wrt o. 40*f*o**3 - 4*f*t**3 - 4564490 What is the third derivative of 20558281*i**4 + 768385*i**2 + 3*i? 493398744*i Find the second derivative of 27811174*o**3 - 16146282*o. 166867044*o What is the third derivative of 359064*a**3*l**5 - 40*a**3*l**3 - 21*a**3*l**2 + 1395*a**3 + l - 2 wrt l? 21543840*a**3*l**2 - 240*a**3 Find the third derivative of -68955899*l**3 + 83679232*l**2. -413735394 Differentiate 3*g**2*w**2 - 20923980*g**2 + 839299*g*w**2 - 3*g*w wrt w. 6*g**2*w + 1678598*g*w - 3*g What is the first derivative of 158143*g**3 + 55*g**2 + 38575637? 474429*g**2 + 110*g Differentiate -82391948*r**2 + 646403021 with respect to r. -164783896*r What is the first derivative of 99390*u**3*w + 16*u**3 + u**2*w - u**2 - u*w**2 + 77 wrt w? 99390*u**3 + u**2 - 2*u*w Differentiate -3007*h**2*w**4 - 109*h**2*w**2 - 389*h**2 + 2*h + 496 wrt w. -12028*h**2*w**3 - 218*h**2*w Find the third derivative of 414715833*i**4 - 303169046*i**2 wrt i. 9953179992*i What is the derivative of -2738*a**2 - 15*a*l - 5*a - 513004*l wrt a? -5476*a - 15*l - 5 Find the second derivative of -51618720*v**2 - 224291983*v wrt v. -103237440 Find the second derivative of 348763*y**4 - 7*y**2 + 3685*y + 26337. 4185156*y**2 - 14 Find the second derivative of -32646922*u**2 - 42808796*u wrt u. -65293844 Find the third derivative of 13455764*m**4 - 8129*m**2 - 308. 322938336*m Find the first derivative of 168146*l**3*x + 9*l**3 + 60200*x + 30 wrt l. 504438*l**2*x + 27*l**2 What is the first derivative of -3*a**2*u**2 - 1187*a**2 + 39074209*a*u**4 - 3215*a + 5 wrt u? -6*a**2*u + 156296836*a*u**3 What is the derivative of -5*b**3 + 160286*b**2 - 3*b - 7681142? -15*b**2 + 320572*b - 3 Differentiate -6987870*b**3 - 7214486. -20963610*b**2 Find the third derivative of -40*c**3*f*r**3 + 2*c**3*f*r**2 - 66*c**3*f*r + 211*c**3*r**2 - c**3*r + c**3 - 149*c**2*r**3 - c*f*r**2 + 137*f*r**3 wrt r. -240*c**3*f - 894*c**2 + 822*f What is the second derivative of -442761*b**2*k**2*p**2 - 193*b**2*p**3 + 47*b*k**2*p**2 + 3*b*k**2 - 1480*b*k - 6*k**2*p**3 - 13*p**3 wrt b? -885522*k**2*p**2 - 386*p**3 What is the second derivative of -68*h**5 - h**3 - 690*h**2 - 1033588*h + 3? -1360*h**3 - 6*h - 1380 What is the third derivative of -a**4 - 1758674*a**3 + 1404402*a**2? -24*a - 10552044 What is the third derivative of 122678337*x**4 - 149439262*x**2? 2944280088*x What is the derivative of 9640117*t**2 + 450635875? 19280234*t Differentiate 11321171*p**4 - 11461572 wrt p. 45284684*p**3 What is the first derivative of -3*m**4 - 6625*m**2 - 59*m + 12057839 wrt m? -12*m**3 - 13250*m - 59 Find the third derivative of 191603122*o**5 - 202052281*o**2. 11496187320*o**2 What is the derivative of 384900*w**2 + w + 10953909 wrt w? 769800*w + 1 What is the derivative of -45343547*d**2 + 42523231 wrt d? -90687094*d Find the second derivative of 70447*f**3*l**3 - 18*f**3*l + 13*f*l**3 + f*l**2 + 2*f + 19039*l**3 + 2*l - 2 wrt f. 422682*f*l**3 - 108*f*l What is the second derivative of -668647713*d**2 - 209041496*d? -1337295426 What is the second derivative of -5*p**4 - 5003*p**3 + 2*p**2 - 3735806*p? -60*p**2 - 30018*p + 4 Find the second derivative of -3*k**4 + 1164295*k**2 - 60*k + 6292 wrt k. -36*k**2 + 2328590 What is the third derivative of 63*a**6 + 9*a**4 + 124561*a**3 - 107230375*a**2 wrt a? 7560*a**3 + 216*a + 747366 What is the second derivative of 418530*b**4 - 5*b**2 + b - 810328 wrt b? 5022360*b**2 - 10 Find the third derivative of 266645539*c**3*h*z - 5*c**2*h*z + 14183*c**2*z - 3*c*h + 11*h*z + 6*h wrt c. 1599873234*h*z What is the third derivative of -48472984*v**5 - 60765581*v**2 wrt v? -2908379040*v**2 Find the second derivative of 25578*i*
{ "pile_set_name": "DM Mathematics" }
What is the v'th term of 7936, 12160, 16384? 4224*v + 3712 What is the a'th term of 36422, 38677, 40930, 43181, 45430, 47677? -a**2 + 2258*a + 34165 What is the o'th term of -5201, -7073, -8945? -1872*o - 3329 What is the q'th term of -10392474, -10392498, -10392522, -10392546, -10392570, -10392594? -24*q - 10392450 What is the g'th term of -13312, -14161, -15010, -15859? -849*g - 12463 What is the g'th term of 8339372, 8339374, 8339376, 8339378, 8339380? 2*g + 8339370 What is the g'th term of 14187, 14134, 14059, 13962, 13843? -11*g**2 - 20*g + 14218 What is the d'th term of 8376469, 16752925, 25129381, 33505837? 8376456*d + 13 What is the i'th term of 2987, 15001, 35025, 63059? 4005*i**2 - i - 1017 What is the f'th term of -1250729, -5002897, -11256509, -20011565, -31268065? -1250722*f**2 - 2*f - 5 What is the i'th term of 11590, 46390, 104396, 185608, 290026, 417650? 11603*i**2 - 9*i - 4 What is the h'th term of -51622, -51794, -51968, -52144, -52322, -52502, -52684? -h**2 - 169*h - 51452 What is the n'th term of 569771, 1139539, 1709307, 2279075? 569768*n + 3 What is the c'th term of 4365, 9304, 14827, 20934? 292*c**2 + 4063*c + 10 What is the g'th term of -210, -1871, -6354, -15069, -29426, -50835? -235*g**3 - g**2 - 13*g + 39 What is the q'th term of -292107, -292111, -292127, -292161, -292219, -292307, -292431? -q**3 + 3*q - 292109 What is the y'th term of 164038003, 164038002, 164038001, 164038000, 164037999, 164037998? -y + 164038004 What is the i'th term of -25803, -50824, -75849, -100878, -125911? -2*i**2 - 25015*i - 786 What is the w'th term of -164282293, -164282288, -164282295, -164282320, -164282369, -164282448? -w**3 + 12*w - 164282304 What is the s'th term of 101780934, 203561867, 305342800, 407123733? 101780933*s + 1 What is the h'th term of 606, 899, 1226, 1587, 1982, 2411, 2874? 17*h**2 + 242*h + 347 What is the z'th term of -75892, -76035, -76178, -76321, -76464, -76607? -143*z - 75749 What is the g'th term of -306413, -612935, -919557, -1226273, -1533077, -1839963, -2146925, -2453957? g**3 - 56*g**2 - 306361*g + 3 What is the n'th term of -5089, -7022, -8949, -10870, -12785, -14694, -16597? 3*n**2 - 1942*n - 3150 What is the v'th term of -8526546, -17053087, -25579624, -34106157, -42632686, -51159211? 2*v**2 - 8526547*v - 1 What is the z'th term of -200144011, -400288021, -600432031, -800576041? -200144010*z - 1 What is the b'th term of 57327, 114858, 172389? 57531*b - 204 What is the j'th term of 698, 6065, 20628, 48983, 95726? 766*j**3 + 2*j**2 - j - 69 What is the n'th term of 13242, 106088, 358096, 848844, 1657910, 2864872, 4549308? 13263*n**3 + 3*n**2 - 4*n - 20 What is the p'th term of -1290, -2092, -2406, -2232, -1570, -420, 1218? 244*p**2 - 1534*p What is the r'th term of -130736, -130447, -129958, -129263, -128356, -127231, -125882? r**3 + 94*r**2 - 130831 What is the q'th term of 114140, 228275, 342408, 456539, 570668? -q**2 + 114138*q + 3 What is the l'th term of -38825390, -38825380, -38825370? 10*l - 38825400 What is the k'th term of -119, -370, -753, -1334, -2179, -3354, -4925, -6958? -11*k**3 - 174*k + 66 What is the c'th term of 78459, 314142, 706943, 1256868, 1963923? c**3 + 78553*c**2 + 17*c - 112 What is the n'th term of 11180, 44136, 98868, 175382, 273684? n**3 + 10882*n**2 + 303*n - 6 What is the x'th term of 3771, 15204, 34283, 61002, 95355, 137336, 186939? -x**3 + 3829*x**2 - 47*x - 10 What is the a'th term of 2140, 4438, 6708, 8956, 11188? a**3 - 20*a**2 + 2351*a - 192 What is the u'th term of -24686, -49476, -74264, -99050, -123834, -148616? u**2 - 24793*u + 106 What is the k'th term of 995, 1873, 2633, 3281, 3823, 4265, 4613? k**3 - 65*k**2 + 1066*k - 7 What is the t'th term of 184063, 368212, 552337, 736438, 920515? -12*t**2 + 184185*t - 110 What is the n'th term of -1983449, -1983471, -1983529, -1983641, -1983825, -1984099? -3*n**3 - n - 1983445 What is the j'th term of 3521, 9815, 20309, 35003, 53897? 2100*j**2 - 6*j + 1427 What is the i'th term of 631767, 2527061, 5685885, 10108239, 15794123, 22743537? 631765*i**2 - i + 3 What is the y'th term of -2573, -5045, -7439, -9749, -11969, -14093, -16115, -18029? y**3 + 33*y**2 - 2578*y - 29 What is the z'th term of 495545840, 495545842, 495545844, 495545846, 495545848? 2*z + 495545838 What is the q'th term of -9129551, -9129544, -9129537? 7*q - 9129558 What is the v'th term of 700064, 700065, 700066, 700067, 700068, 700069? v + 700063 What is the m'th term of -55257, -110516, -165753, -220956, -276113, -331212? 2*m**3 - m**2 - 55270*m + 12 What is the y'th term of -297833, -1191339, -2680511, -4765343, -7445829, -10721963, -14593739? y**3 - 297839*y**2 + 4*y + 1 What is the l'th term of 812, 1615, 2396, 3143, 3844? -2*l**3 + l**2 + 814*l - 1 What is the r'th term of 446, 315, -12, -535, -1254? -98*r**2 + 163*r + 381 What is the d'th term of -110883, -221729, -332587, -443457, -554339, -665233, -776139? -6*d**2 - 110828*d - 49 What is the n'th term of -306476652, -306476657, -306476664, -306476673, -306476684? -n**2 - 2*n - 306476649 What is the q'th term of -22472, -45088, -67704, -90320, -112936? -22616*q + 144 What is the m'th term of 216068, 216130, 216228, 216356, 216508, 216678, 216860? -m**3 + 24*m**2 - 3*m + 216048 What is the p'th term of -1441, -3402, -5363, -7324, -9285, -11246? -1961*p + 520 What is the c'th term of 3532, 7012, 10518, 14050, 17608, 21192? 13*c**2 + 3441*c + 78 What is the d'th term of 254435, 508868, 763297, 1017722, 1272143, 1526560, 1780973? -2*d**2 + 254439*d - 2 What is the u'th term of 332618, 1330506, 2993662, 5322086, 8315778? 332634*u**2 - 14*u - 2 What is the u'th term of -71487830, -142975664, -214463498, -285951332, -357439166? -71487834*u + 4 What is the l'th term of 1630, 1646, 1682, 1738? 10*l**2 - 14*l + 1634 What is the a'th term of -7520, -15057, -22604, -30161, -37728? -5*a**2 - 7522*a + 7 What is the n'th term of -4093, -16526, -37293, -66394, -103829, -149598? -4167*n**2 + 68*n + 6 What is the h'th term of 537, 1268, 2333, 3738, 5489, 7592? h**3 + 161*h**2 + 241*h + 134 What is the o'th term of 350, 878, 1512, 2294, 3266, 4470? 7*o**3 + 11*o**2 + 446*o - 114 What is the x'th term of 541, 2132, 4801, 8548? 539*x**2 - 26*x + 28 What is the v'th term of -369856, -739709, -1109558, -1479403, -1849244, -2219081? 2*v**2 - 369859*v + 1 What is the b'th term of 4822, 5503, 6640, 8233? 228*b**2 - 3*b + 4597 What is the h'th term of -27912, -112013, -252182, -448419, -700724? -28034*h**2 + h + 121 What is the p'th term of -10932, -15101, -22062, -31815, -44360? -1396*p**2 + 19*p - 9555 What is the q'th term of -6819692, -13639376, -20459052, -27278720, -34098380, -40918032? 4*q**2 - 6819696*q What is the z'th term of 646, 59, -958, -2621, -5146, -8749, -13646? -36*z**3 + z**2 - 338*z + 1019 What is the h'th term of -24202, -26384, -28566, -30748, -32930, -35112? -2182*h - 22020 What is the l'th term of 26918, 26977, 27036, 27095, 27154? 59*l + 26859 What is the j'th term of 62413, 61850, 61287, 60724, 60161? -563*j + 62976 What is the f'th term of -87787, -351209, -790259, -1404937, -2195243, -3161177, -4302739? -87814*f**2 + 20*f + 7 What is the r'th term of -26428, -54348, -82280, -110230, -138204, -166208, -194248? -r**3 - 27913*r + 1486 What is the a'th term of 6855, 13705, 20535, 27345, 34135? -10*a**2 + 6880*a - 15 What is the u'th term of 1696, 8749, 20506, 36967, 58132, 84001? 2352*u**2 - 3*u - 653 What is the l'th term of -32707656, -65415312, -98122968, -130830624, -163538280? -32707656*l What is the w'th term of 4265047, 34120446, 115156531, 272963644, 533132127, 921252322, 1462914571? 4265057*w**3 + w**2 - 3*w - 8 What is the w'th term of 282019, 564021, 846017, 1128007, 1409991, 1691969, 1973941? -3*w**2 + 282011*w + 11 What is the h'th term of -411, 440, 2567, 5970? 638*h**2 - 1063*h + 14 What is the r'th term of -6868, -10412, -13776, -16870, -19604, -21888? 15*r**3 - 3649*r - 3234 What is the x'th term of 1470, 2891, 4188, 5295, 6146, 6675, 6816? -11*x**3 + 4*x**2 + 1486*x - 9 What is the k'th term of 9062131, 9062129, 9062127, 9062125? -2*k + 9062133 What is the x'th term of 567, 1159, 1833, 2631, 3595, 4767, 6189, 7903? 7*x**3 - x**2 + 546*x + 15 What is the m'th term of 4646, 10173, 1652
{ "pile_set_name": "DM Mathematics" }
ors of (-2 - 0)/(-2)*j. 7, 31 Let r = 2 + 1. Suppose -4*b - r*b = 63. What are the prime factors of (-5)/(-15) - 393/b? 2, 11 Suppose r + 3*r - 7*r = 0. Suppose 5*p = 3*l - 181, l = -r*p - 2*p + 75. List the prime factors of l. 67 Let v(r) = -5*r + 10. Let z be v(0). Suppose -z*u - 5*u = -9645. What are the prime factors of u? 643 Let y be 1/(-4)*4*(2 + -2). Let x(w) = w**3 - w**2 - w + 366. Let h be x(y). Let m = -252 + h. List the prime factors of m. 2, 3, 19 Suppose -2*o + 23439 = r, 27 = 4*r + 47. List the prime factors of o. 2, 5861 Let n = 158 - 160. What are the prime factors of (-1296)/(-9) + n*1? 2, 71 Suppose 3*y = -5*b + 3414, 8*y - 13*y + 3*b + 5656 = 0. Suppose 0 = 6*m + y - 9017. List the prime factors of m. 2, 3, 73 Suppose -4*z = -613 + 193. Suppose -z = -3*q + 4*c + 100, 0 = 3*c + 12. List the prime factors of q. 3, 7 Let q(g) = -g**3 - 6*g**2 + 3*g + 2. Let v be q(-6). Let h = v - -18. Suppose -o + 24 = m, h*m - 2*o = -o + 39. What are the prime factors of m? 3, 7 What are the prime factors of 8 - ((-111624)/17 + (-20)/(-170))? 2, 19, 173 Let z be (-2 + 9 - 4) + (1 - 0). Suppose 4 = -z*c, -c + 216 = m - 2*c. What are the prime factors of m? 5, 43 Let j be (-4)/4 - (0 + 1). Let o(m) = m**3 + 10*m**2 + 47*m + 183. Let y be o(-7). What are the prime factors of 34*j*y/8*-2? 17 Let d(z) = -5*z + 49. Let i be d(8). Suppose 0 = -i*c + c + 904. List the prime factors of c. 113 Let s = -47 - -47. Suppose 2*o = s, -2*q + 4*o = q - 27. Suppose -j = -170 + q. What are the prime factors of j? 7, 23 Suppose 34*v - 300699 = 40*v - 43*v. What are the prime factors of v? 3, 7, 43 Let y = -6627 + 7852. What are the prime factors of y? 5, 7 Suppose 315 = 5*y - 4*y. Let x be 10 + 1 - (8 - 4). What are the prime factors of 0 - y/(-6) - x/14? 2, 13 Let g = -32523 + 81831. What are the prime factors of g? 2, 3, 7, 587 Let n(o) = -71 + 43*o + 58 - 15*o. Let m(j) = j. Let z(w) = m(w) - n(w). What are the prime factors of z(-8)? 229 Let b = 36 - 46. Let a = 438 + b. Let n = a + -277. List the prime factors of n. 151 Let u = 1423 + -1413. Let n(j) = j + 10. Let f be n(-6). What are the prime factors of (598/65)/(f/u)? 23 Suppose -25*b - 20 = -20*b. What are the prime factors of 0 + b/(-6) + (-3506)/(-6)? 3, 5, 13 Let k = 6 - -7. Suppose 24 = 4*i + 2*v, -2*i - 5*v + k = -15. Suppose 46 = 3*l + i*d, -5 = -5*d + 15. List the prime factors of l. 2, 5 Let x = -147573 - -242508. What are the prime factors of -1*(2/9 + x/(-135))? 19, 37 Let a = -55 + 82. Let b be 52/6 - -3*3/a. Let n(u) = 3*u + 1. What are the prime factors of n(b)? 2, 7 Let p(f) = -f + 1. Let k(c) = -115*c + 99. Let w(b) = k(b) + 4*p(b). What are the prime factors of w(-7)? 2, 3, 13 Let t = -510 - -513. Suppose -41 = t*c - 935. List the prime factors of c. 2, 149 Let w be (-244 + 239)/(0 - 1). Let l(o) = -8*o**3 - 2*o**2 + 4*o - 1. Let u be l(-3). Suppose -w*v = -u - 280. List the prime factors of v. 3, 31 Let x = -80 + 135. Let c = x - 50. Suppose -j + 293 = -c*n + 104, 740 = 4*j - 4*n. List the prime factors of j. 2, 23 Let n(s) = s**2 + 10*s + 2. Let i be n(-10). Suppose 6*w - w + 60 = 4*z, -4*w = -i*z + 30. What are the prime factors of z? 3, 5 List the prime factors of (-5)/(-4) + ((-3984050)/(-56) - -15). 2, 3, 5, 593 Suppose 0 = -3*v - 8*v + 792. List the prime factors of 115 - (v/(-9) + 15). 2, 3 Let r be 2/(-1) - (444 + (-1 - -4)). Let d = r + 315. Let i = 51 - d. What are the prime factors of i? 5, 37 Let d = 220 + -184. Let o = d + 110. What are the prime factors of o? 2, 73 Suppose -41*i + 13*i - 75*i = -1492573. List the prime factors of i. 43, 337 Let q(s) = s**3 + 26*s**2 - 3*s + 3. Let z(y) = y**3 + 6*y**2 - 20*y + 17. Let o be z(-7). Let h = -134 + o. What are the prime factors of q(h)? 3 Let g(v) = -956*v + 44. Let x be g(-3). Suppose -5*s + x = -2*q, 2*s = -2*s + 3*q + 2324. What are the prime factors of s? 2, 73 Let x(h) be the third derivative of 55*h**4/24 - h**3/2 - 410*h**2. Let y = 4 + -3. What are the prime factors of x(y)? 2, 13 Suppose -o + 0*o + 3 = 0, o + 1 = 2*y. Let i(h) = 124*h**2 + 5*h - 9. What are the prime factors of i(y)? 7, 71 Suppose 5*i - 42333 = -807*w + 805*w, 2*i = -3*w + 16931. List the prime factors of i. 8467 Let z(w) = 221*w + 227. Let j be z(9). Let t = j - 665. What are the prime factors of t? 3, 11, 47 Suppose 3*t = 3*k - 696, -317*k + 4*t + 244 = -316*k. List the prime factors of k. 2, 3, 19 List the prime factors of -1 - 4/(6 - 10) - (-4298 + 0). 2, 7, 307 What are the prime factors of (118/20 - (-48)/80)*(6 - -3030)? 2, 3, 11, 13, 23 Suppose 37 = 6*r + 19. Suppose 0 = r*j + 3*q - 777, 5*q = -j + 3*q + 255. What are the prime factors of j? 263 Let i(w) = w**2 - 11*w - 7. Suppose 9*t = 17*t - 96. Let q be i(t). Suppose 0 = 3*s - 4*x - 11 - 47, 3*s - q*x = 59. What are the prime factors of s? 2, 3 Let y(g) = 27*g**2 + 834*g + 5880. List the prime factors of y(-7). 3, 5, 7, 13 Let d(k) = -54*k**3 + 8 - 9*k + 123*k**3 - 2*k**2 - k**2 + 10 + 5. List the prime factors of d(2). 5, 109 Suppose 0 = -5*n + 3*n - j + 4, -5*n - 3*j = -9. Let x be (276/10)/n - (-3)/(-15). Let h(r) = 2*r**2 - 15*r + 9. List the prime factors of h(x). 2, 3 Suppose 26*d = 36 + 120. Suppose d*n = 5089 + 2441. What are the prime factors of n? 5, 251 Let c(x) = 34*x + 32. Let q(r) = -r**2 - 13*r - 21. Let u be q(-10). What are the prime factors of c(u)? 2, 13 Let v(r) = 257*r + 38. Suppose 0 = -4*w + 5*c - 5, 7*w + 2*c = 6*w + 15. What are the prime factors of v(w)? 3, 7 What are the prime factors of (-227254)/(-6) - -2 - 63/(-189)? 2, 3, 59, 107 Let i be (-2)/(2 - 1) - -15. Let v be -65*(i/(-39))/(2/18). Let p = -75 + v. What are the prime factors of p? 2, 3, 5 Let q(n) = 2*n - 37. Let l be q(21). Suppose -l*a - 1 = 2*x - 6, -5*x = 5*a + 10. Suppose 3*z = 2*u - 77, -5*z + 58 = 4*u - a*u. List the prime factors of u. 43 Let w(y) = -y**3 - 17*y**2 - 6*y - 97. Let n be w(-17). Suppose 4*g - n*l = 6097, 2*l = -l - 3. List the prime factors of g. 1523 Let c = 56 - 49. Let l(w) = -4*w**3 - 17*w**2 + w + 1. Let b(q) = 3*q**3 + 16*q**2 - 2*q. Let r(j) = -6*b(j) - 5*l(j). What are the prime factors of r(c)? 191 Let z = 500 - 495. Suppose -2*v + 1190 = z*g - 8*g, v - 5*g - 595 = 0. List the prime factors of v. 5, 7, 17 Suppose 5*y - 4*c - 73096 = 0, 3*y - 35811 - 8079 = -3*c. What are the prime factors of y? 2, 457 What are the prime factors of ((-363)/(-6))/(9/774 - 0)? 11, 43 Let g be 292/18 + (-22)/99. Suppose g*t + 151 = 2087. What are the prime factors of t? 11 Let a = -3403 + 4993. What are the prime factors of a? 2, 3, 5, 53 Suppose 52*a - 39795 = 12985. List the prime factors of a. 5, 7, 29 Let p = -252 - -242. What are the prime factors of 6452/16 - p/(-40)? 13, 31 Let p(j) = -2*j**2 + 52*j + 59. Let a be p(27). Suppose z + 3*w - 501 = 5*w, 0 = -z + a*w + 498. List the prime factors of z. 503 Let t(a) = -a**2 + 6*a - 4. Let s be t(5). Let v(g) = -2*g + 6. Let j be v(0). What are the prime factors of (-2094)/(-36) - s/j? 2, 29 Let k(r) = 22*r - 27 - 3*r**3 - 17*r**2 + 4*r**3 - 1. Suppose 64 = 2*z + 2*z. List the prime factors of k(z). 2, 17 Let o be (-28)/8 - (-8)/(-16). What are the prime factors of (9/o)/((-7)/196)? 3, 7 List the prime factors of (-10)/12 + 3228448/384*2. 2, 7, 1201 Let k be 99/(-33) + 2 + -1 + 28. Suppose 24*v - k*v + 330 = 0. Suppose 64 = -2*x + 3*a + 235, 0 = 2*x - 5*a - v. What are the prime factors of x? 2, 3, 5 Suppose -5*g = -4*u + 43543, -5*g + 17420 = 3*u - 15281. List the prime factors of u. 2, 7, 389 Suppose -5*o - 60 = -10*o. Suppose -o*r + 8*r + 12 = 0. Suppose l - 25 = -2*g, 0 = 3*g + r*l - 34 - 2. List the prime factors of g. 13 Let f(h) = 71*h**2 + 60*h + 290. List the prime factors of f(14). 2, 7523 Let b be (15 - 3)*1/(-3) - -6. Suppose z - b*t + 975 = 6*z, 3*z + 2*t - 581 = 0. Let n = z + -94. List the prime factors of n. 103 Let l(t) = -t**2 + 13*t - 22. Let p(d) = 2*d - 4. Let k be p(4). Suppose 3*y + k*h = 47, 3*y = -y + h + 31. List the prime factors of l(y). 2, 7 Suppose -88 = -26*y + 28*y. List the prime factors of (-8)/y + (-144300)/(-110). 2, 41 Let p = -60 + 1078. Suppose -4*v = 5*h - 2760, -5*v + 1190 + p = 4*h. What are the prime factors of h? 2, 3, 23 Let w be (-2)/4*(1 - 1). Suppose w - 3 = -l. Suppose 0 = -l*q + 525 + 5
{ "pile_set_name": "DM Mathematics" }
that 8*m**5 - 364*m**4/3 + 296*m**3/3 + 1456*m**2/3 - 1568*m/3 = 0. -2, 0, 7/6, 2, 14 What is d in 4*d**5 + 289*d**4 - 2432*d**3 - 23954*d**2 - 26372*d - 5135 = 0? -79, -5, -1, -1/4, 13 Factor g**3/7 - 25*g**2/7 - 988*g/7 + 1012/7. (g - 46)*(g - 1)*(g + 22)/7 Suppose d**4/5 + 451*d**3/5 + 7590*d**2 + 182500*d + 175000 = 0. Calculate d. -350, -50, -1 Factor -o**3/4 - 2867*o**2/4 + 5737*o/4 - 2869/4. -(o - 1)**2*(o + 2869)/4 Find c, given that c**5 - 151*c**4/2 + 2907*c**3/2 - 11012*c**2 + 31264*c - 13056 = 0. 1/2, 8, 51 Find g, given that 22472*g**3/7 - 772528*g**2/7 + 1001254*g - 6258722/7 = 0. 1, 1769/106 Determine u so that -5*u**2 - 1529935*u - 1529930 = 0. -305986, -1 Factor -i**2/3 + 144026*i/3 - 5185872169/3. -(i - 72013)**2/3 What is p in -6*p**3/17 + 22*p**2/17 + 1676*p/17 - 3392/17 = 0? -16, 2, 53/3 Factor 5*x**3 - 310*x**2 + 4075*x + 9430. 5*(x - 41)*(x - 23)*(x + 2) Solve -3*t**5/2 - 594*t**4 - 3525*t**3/2 + 2358*t**2 = 0 for t. -393, -4, 0, 1 Let 45084*w**5 + 133620*w**4 + 8367*w**3 - 128634*w**2 + 54180*w - 5400 = 0. Calculate w. -2, 2/13, 15/34 Factor 44*n**3 - 3144*n**2 + 23040*n - 44672. 4*(n - 4)**2*(11*n - 698) Factor o**3 - 1924*o**2 + 909860*o + 15054400. (o - 970)**2*(o + 16) Find b such that b**4/6 - 118*b**3/3 - 1741*b**2/6 + 4882*b/3 - 1782 = 0. -11, 2, 243 Factor b**2/5 - 123907*b/5 + 495612/5. (b - 123903)*(b - 4)/5 Let k**5/2 + 239*k**4 - 480*k**3 + k**2 + 959*k/2 - 240 = 0. What is k? -480, -1, 1 Find k, given that -2*k**3/13 - 5158*k**2/13 + 5164*k/13 + 10320/13 = 0. -2580, -1, 2 Find d such that -d**4/3 - 131*d**3 + 8329*d**2/3 + 9499*d = 0. -413, -3, 0, 23 What is p in -2*p**2/9 - 327608*p/9 - 13415875208/9 = 0? -81902 Factor -4*y**2/7 - 148*y/7 - 1360/7. -4*(y + 17)*(y + 20)/7 What is y in -2*y**5 + 34*y**4 + 1010*y**3 - 25450*y**2 + 156672*y - 270504 = 0? -26, 3, 6, 17 Solve b**2 - 110*b - 10431 = 0. -61, 171 Factor l**3 - 184187*l**2 + 8481489016*l - 25442809392. (l - 92092)**2*(l - 3) Determine l so that l**5/2 + 72*l**4 + 3022*l**3 + 29503*l**2 - 6045*l/2 - 29575 = 0. -65, -14, -1, 1 Determine c, given that -2*c**5/9 - 706*c**4/9 - 25942*c**3/9 + 56866*c**2/9 + 27368*c/3 = 0. -311, -44, -1, 0, 3 Factor -30*j**3 + 3960775*j**2 + 660130*j. -5*j*(j - 132026)*(6*j + 1) Factor -2*f**2/13 + 4107364*f/13 - 2108804878562/13. -2*(f - 1026841)**2/13 Determine t so that 18*t**3 + 505104*t**2 + 1683530*t + 1402900 = 0. -28058, -5/3 Factor 3*y**4/5 + 27*y**3 - 2262*y**2/5. 3*y**2*(y - 13)*(y + 58)/5 Let -3*v**5 + 117*v**4 - 879*v**3 + 2079*v**2 - 162*v - 3240 = 0. What is v? -1, 3, 4, 30 Find a, given that -3*a**5 - 423*a**4 - 825*a**3 + 1263*a**2 + 1656*a - 1668 = 0. -139, -2, 1 Find d, given that d**4/4 - 718*d**3 + 2024253*d**2/4 + 27294813*d/2 = 0. -26, 0, 1449 Factor -j**5 - 14240*j**4 - 50680158*j**3 + 101403040*j**2 - 50708641*j. -j*(j - 1)**2*(j + 7121)**2 Suppose 6*d**4/5 - 153*d**3/5 + 666*d**2/5 - 15*d - 180 = 0. What is d? -1, 3/2, 5, 20 Factor -p**2 + 42467*p + 84938. -(p - 42469)*(p + 2) Factor -3*z**3 - 56601*z**2 - 282930*z. -3*z*(z + 5)*(z + 18862) What is o in -o**5/2 + 127*o**4/2 - 857*o**3/2 + 2057*o**2/2 - 1023*o + 360 = 0? 1, 2, 3, 120 Determine q, given that -3*q**5 + 177*q**4 - 159*q**3 - 861*q**2 - 522*q = 0. -1, 0, 3, 58 Factor p**2 - 436*p - 310080. (p - 816)*(p + 380) Suppose -2*k**4/3 + 5072*k**3/3 - 1433100*k**2 + 409333824*k - 2795693166 = 0. What is k? 7, 843 Factor -4*t**2 + 2459144*t - 377961825796. -4*(t - 307393)**2 Find k such that 2*k**3 - 2354*k**2 + 689120*k + 2088600 = 0. -3, 590 What is b in 2*b**4 + 7468*b**3 + 126538*b**2 + 594848*b + 475776 = 0? -3717, -8, -1 Solve -w**5 + 50*w**4 - 255*w**3 - 410*w**2 + 616*w = 0 for w. -2, 0, 1, 7, 44 Let 5*d**2/8 + 511*d/4 + 1421/8 = 0. What is d? -203, -7/5 Suppose -2*o**5/9 + 758*o**4/3 + 6836*o**3/9 + 1520*o**2/3 = 0. What is o? -2, -1, 0, 1140 Factor -k**3 + 2581*k**2 + 2584*k - 5164. -(k - 2582)*(k - 1)*(k + 2) Factor 2*r**2/7 - 5784*r/7 + 295360/7. 2*(r - 2840)*(r - 52)/7 Suppose -25*o**4 - 92190*o**3 - 2615895*o**2 + 1061110*o = 0. Calculate o. -3659, -29, 0, 2/5 Determine f, given that f**2/4 - 49363*f + 2436705769 = 0. 98726 Determine v, given that -v**4 - 6402*v**3 - 6401*v**2 = 0. -6401, -1, 0 Factor -845000*o**2/3 - 18200*o/3 - 98/3. -2*(650*o + 7)**2/3 Solve -y**3 + 176*y**2 - 1503*y = 0. 0, 9, 167 Find i such that 63*i**5/4 - 201*i**4/2 + 237*i**3/4 + 639*i**2/2 + 168*i + 24 = 0. -1, -1/3, -2/7, 4 What is f in -15*f**3 - 395*f**2 + 690*f - 280 = 0? -28, 2/3, 1 Suppose 2*c**5/3 + 310*c**4/3 - 7714*c**3/3 + 4406*c**2 + 7080*c = 0. Calculate c. -177, -1, 0, 3, 20 Solve -2*s**3/3 + 28540*s**2/3 + 314146*s/3 + 171372 = 0 for s. -9, -2, 14281 Factor 2*h**2/15 + 566*h/15 - 57196/15. 2*(h - 79)*(h + 362)/15 What is j in -4*j**4 + 280*j**3 - 4836*j**2 - 4480*j + 78400 = 0? -4, 4, 35 Factor c**3/3 + 5396*c**2 + 21826816*c - 262180864/3. (c - 4)*(c + 8096)**2/3 Factor -2*z**2 - 253968*z - 8062468128. -2*(z + 63492)**2 Factor 5*c**4 + 40*c**3 - 870*c**2 + 3200*c - 2375. 5*(c - 5)**2*(c - 1)*(c + 19) Factor 16*x**4 + 20*x**3 - 92*x**2 - 24*x. 4*x*(x - 2)*(x + 3)*(4*x + 1) Factor -3*a**3 - 387*a**2 + 24975*a - 335625. -3*(a - 25)**2*(a + 179) Find h such that h**4 - 666*h**3 - 669*h**2 + 1334*h = 0. -2, 0, 1, 667 Factor -2*a**4/9 + 5156*a**3/3 + 3438*a**2 + 15472*a/9. -2*a*(a - 7736)*(a + 1)**2/9 Factor 2*l**4/3 - 3752*l**3/3 + 7488*l**2 - 44896*l/3 + 29920/3. 2*(l - 1870)*(l - 2)**3/3 Determine s, given that -765*s**3 - 166301*s**2 - 64228*s + 868 = 0. -217, -2/5, 2/153 Determine y so that 4*y**3 + 115*y**2 + 763*y - 198 = 0. -18, -11, 1/4 Determine j so that -4*j**3 - 528*j**2 - 14484*j - 113288 = 0. -98, -17 Determine d, given that 2*d**4/15 - 842*d**3/15 + 46156*d**2/15 + 1959400*d/3 + 650000 = 0. -78, -1, 250 Find c, given that 4*c**5 - 5616*c**4 + 111092*c**3 - 515352*c**2 + 697536*c = 0. 0, 3, 14, 1384 Factor -2*v**4 - 120*v**3 + 124202*v**2. -2*v**2*(v - 221)*(v + 281) Find x, given that 74*x**5/11 + 1404*x**4/11 + 4476*x**3/11 + 544*x**2/11 - 6678*x/11 + 180/11 = 0. -15, -3, -2, 1/37, 1 Factor -3*j**3/7 + 597*j**2/7 - 3489*j/7 + 2895/7. -3*(j - 193)*(j - 5)*(j - 1)/7 Let 3*c**5 + 204*c**4 - 1569*c**3 + 642*c**2 + 14112*c - 21600 = 0. Calculate c. -75, -3, 2, 4 Let -d**5/5 + 7*d**4/5 + 453*d**3/5 - 23*d**2/5 - 1336*d/5 + 180 = 0. Calculate d. -18, -2, 1, 25 Suppose 13*y**4/3 + 208294*y**3/3 + 370814948*y**2 + 1980237374458*y/3 - 761794334105/3 = 0. Calculate y. -5341, 5/13 Suppose -4*k**2 + 788436*k - 788432 = 0. What is k? 1, 197108 Let -256*u**5 + 35776*u**4 + 9104*u**3 - 20204*u**2 + 6164*u - 560 = 0. Calculate u. -1, 1/4, 140 Find q, given that 10*q**4 - 4728*q**3 - 2157562*q**2/5 + 1737384*q/5 - 348232/5 = 0. -79, 2/5, 551 Suppose s**2/2 - 239*s - 7084 = 0. Calculate s. -28, 506 Factor -5*z**2/6 - 1955*z/6 - 24090. -5*(z + 99)*(z + 292)/6 Find i such that -5*i**3 - 5065*i**2 + 10150*i = 0. -1015, 0, 2 Factor -4*g**2/5 + 63624*g/5 - 253000836/5. -4*(g - 7953)**2/5 Factor 2*g**2/3 + 23788*g/3. 2*g*(g + 11894)/3 Solve 4*q**5 + 64*q**4 - 1564*q**3 - 1624*q**2 = 0. -29, -1, 0, 14 Solve 4*w**5/5 + 8*w**4 - 928*w**3/5 - 8*w**2 + 924*w/5 = 0. -21, -1, 0, 1, 11 Find h, given that -820*h**5 + 9856*h**4 - 7572*h**3 - 17896*h**2 + 352*h = 0. -1, 0, 4/205, 2, 11 Find z, given that 5*z**3 + 430*z**2 + 8355*z - 29070 = 0. -51, -38, 3 Solve -18*x**5/7 - 6974*x**4/7 + 10926*x**3/7 + 13198*x**2/7 - 10908*x/7 - 6224/7 = 0. -389, -1, -4/9, 1, 2 Suppose -2*m**5/7 + 122*m**4/7 + 1462*m**3/7 - 2746*m**2/7 - 16580*m/7 - 12496/7 = 0. What is m? -11, -2, -1, 4, 71 Suppose 4*f**4 + 356*f**3 - 19560*f**2 - 1772800*f + 1792000 = 0. Calculate f. -80, 1, 70 Find u, given that -u**2/8 + 363*u/2 + 130645/8 = 0. -85, 1537 Let -5*f**3 + 33800*f**2 - 57256960*f + 455895040 = 0. Calculate f. 8, 3376 Let -s**5/4 - 59*s**4/4 + 813*s**3/4 - 2741*s**2/4 + 497*s = 0. What is s? -71, 0, 1, 4, 7 Factor -2*x**2 + 2068*x - 6186. -2*(x - 1031)*(x - 3) Factor -k**3/3 - 4276*k**2/3 - 8549*k/3 - 4274/3. -(k + 1)**2*(k + 4274)/3 Factor -2*g**3/5 + 116194*g**2/5 - 337537760*g + 1687572608/5. -2*(g - 29048)**2*(g - 1)/5 Factor p**3/6 - 43*p**2/6 + 118*p/3 + 1190/3. (p - 34)*(p - 14)*(p + 5)/6 Find a, given that -2*a**4/9 + 490*a**3/9 - 17200*a**2/9 + 164000*a/9 = 0. 0, 20,
{ "pile_set_name": "DM Mathematics" }
m i*v + z*v**4 + n*v**3 + m*v**2 + b and give z. -15162 Rearrange 51 - 49 + 1324*f + 32271*f**2 - 32270*f**2 to h*f + m + o*f**2 and give o. 1 Express 29*m**2 + 2*m**3 + 2 - 51*m - 4 + 53*m - 2 + 7 in the form d*m**2 + c*m**3 + a*m + r and give c. 2 Express 3496*f**2 - 416016 + 832027 - 416012 as n*f**2 + s*f + q and give n. 3496 Rearrange (0 + 1 + 4)*(-2621*h - 2273*h + 1041*h) to p + i*h and give i. -19265 Rearrange (3*z + 3*z - 4*z)*(177 - 177 + 25*z)*(505 - 984 - 1168 + 87) to the form i + o*z + t*z**2 and give t. -78000 Rearrange 244 + 234 - 718 - 6646*v + 238 + 664*v to s*v + a and give s. -5982 Rearrange -9*d - 105*d**3 + 4 - 13*d - d**4 + 2*d**4 - 2 + 17*d to m*d**3 + v*d**2 + r + s*d**4 + c*d and give m. -105 Express -82460*t - t**2 + 4*t**3 + 1 + 14*t**4 - t**2 + 82458*t + 3*t**2 + t**2 as w*t**3 + h + a*t**2 + l*t**4 + n*t and give n. -2 Rearrange 1098 - 878 + 177 + 2007 - 2*l + 1723 to the form x*l + v and give v. 4127 Express 8749*j - 9872*j + 27756*j as p + u*j and give u. 26633 Express -173*b**2 + 328*b**2 - 153*b**2 + 13 + 3*b in the form a*b**2 + s + f*b and give f. 3 Rearrange 3*j**3 - 847*j + 251*j + 2*j**2 + 249*j + 264*j to the form p*j + m*j**2 + i*j**3 + d and give m. 2 Rearrange 21 + 41*x**4 + 10*x - 21 - 97*x**2 + x**3 - 38*x**4 - 11*x to the form j*x + u*x**3 + w*x**4 + i*x**2 + z and give i. -97 Express (-2*z + 9*z - 3*z + 1)*(8 + 62 + 13)*(-z + 3*z + 7*z) in the form c*z + u*z**2 + b and give b. 0 Express 20272*k**3 - 40865*k**3 - 4*k**2 + 20315*k**3 as c*k + v*k**2 + j*k**3 + x and give j. -278 Rearrange (14*v + 7*v - 8*v)*(-2 + 1 + 2 + (1 + 4 - 1)*(2 - 1 - 3)) - 8 + 8 - v to w + m*v and give m. -92 Rearrange -21843*t**2 + 4172*t**2 - 10599*t**2 to the form r*t**2 + y + k*t and give y. 0 Express (5*z - z + 0*z)*(-421 - 559 + 224)*(-z**3 - 5*z**2 + 5*z**2) as b*z**3 + j*z**2 + s*z**4 + o + w*z and give b. 0 Express 379*r + 25*r**2 - 59 - 31*r**2 + 405 - 379*r in the form y*r**2 + u + c*r and give u. 346 Rearrange -4*h**3 + 2*h**2 - 2*h**2 + (-1 + 2 + 0)*(-h**3 + 2 - 2) + (-13 + 9*h + 13)*(h**2 + 9*h**2 + 4*h**2) to d*h + i + u*h**2 + p*h**3 and give p. 121 Rearrange -39*v - 42*v**2 - 31*v**2 + 31*v - 108*v**2 to q*v + l*v**2 + o and give l. -181 Rearrange 165*o**2 + 17322*o - 17322*o + (-2*o + o + 0*o)*(-4*o - 4*o + 5*o) to the form b*o**2 + n*o + f and give b. 168 Express -170 + 183 - 27*n + 30*n - 17*n**2 in the form g*n**2 + a*n + w and give g. -17 Rearrange -1968 + 68*a**3 + 5903 - 1965 - 1970 + 146*a**2 to q + g*a + z*a**3 + j*a**2 and give j. 146 Express -1748248*c**2 + 880077*c**2 + 884823*c**2 as m*c + q + b*c**2 and give b. 16652 Express (-1243 + 1243 + 45*g)*(0*g - 3*g - 4*g)*(6 + 0 - 3) in the form t*g**2 + j*g + l and give t. -945 Express (-65 - 184*m + 29 + 36)*(-4 - 3 + 1)*(3*m - 25*m**2 - 3*m) in the form p*m**2 + l*m + y*m**3 + z and give y. -27600 Express 28163 - a**4 - a**2 - 1083*a + 5*a**3 - 28162 - 3*a**3 as m*a + c + l*a**2 + i*a**3 + q*a**4 and give l. -1 Rearrange 0*v - 63 - 3*v + 15*v + 1136 - 11*v to the form g + k*v and give g. 1073 Rearrange -120*x + 58*x + 45*x - 5 + 48*x to d*x + u and give d. 31 Express 5954*z - 11911*z + 5957*z - 9781*z**2 + (4 - 2*z - 4)*(-z - 4*z + 3*z) in the form c*z + v + l*z**2 and give l. -9777 Express 15218*o**2 - 7561*o**2 - 8*o - 7411*o**2 in the form p*o + f*o**2 + u and give p. -8 Rearrange (-2 + 1 + 3)*(a**2 + 0 + 0)*(-308213 - 911*a + 46*a + 308214) to d*a**3 + x*a**2 + i*a + y and give i. 0 Express -819017*v + 4*v**4 + 411187*v - 2*v**2 + 409617*v in the form p*v**4 + o*v**3 + j + s*v + f*v**2 and give j. 0 Rearrange 7478*r + 20638*r - 11102*r + 31742*r + (-r - r + 3*r)*(-2 + 1 + 2) to the form s*r + c and give s. 48757 Rearrange -2*w**3 - 7 + 137*w + 22*w**4 + w**2 - 103*w - 33*w to h*w + d*w**3 + o + y*w**4 + z*w**2 and give o. -7 Rearrange (r - r - 3*r)*(-440 - 452 - 31) - 9*r - 10 + 10 to the form x*r + j and give x. 2760 Express (-30*k - 26*k + 19*k)*(4*k + 0 + 0) - 2*k**2 - k + k + (2*k + 1 - 1)*(2*k + 2*k - 2*k) in the form o + n*k**2 + z*k and give n. -146 Rearrange 2*x**2 - 94 + 38*x**3 - 105 - 103 - 19*x + 302 to the form k + z*x + c*x**2 + n*x**3 and give c. 2 Express 6*s**3 - 4*s + 74*s**4 + 17 - 148*s**4 + 72*s**4 + 15*s**3 - 2*s**2 - 13*s**3 as a*s**4 + z + u*s**2 + n*s + f*s**3 and give a. -2 Express (0*t**2 - 4*t**2 + 2*t**2)*(-10 + 3*t**2 + 10) - 3*t**4 + 15*t**2 - 15*t**2 in the form h*t**3 + u*t**2 + f + n*t**4 + v*t and give v. 0 Express -3*k**3 - 65 - 6*k**3 - 7*k**3 + k**2 + 20*k**3 - 4*k + k**4 - 3*k**3 as g*k**4 + v*k + t*k**3 + s + x*k**2 and give x. 1 Express (62*h**2 + 44*h**2 - 42*h**2)*(h - 3*h + 0*h + (0*h - h + 0*h)*(4 - 9 + 4)) in the form t + y*h + j*h**2 + l*h**3 and give j. 0 Rearrange (-165 - 1262 - 181)*(0 - 6*s - 10*s + 0) to the form a + h*s and give h. 25728 Rearrange 4 - 136*g + 760*g + 1150*g - 4 to the form c*g + b and give c. 1774 Rearrange 23662*t**4 + 6*t**3 - 707 + 706 - 23660*t**4 + (0*t - 3*t + 5*t)*(-t**3 - 2*t**3 + 0*t**3) to l + v*t**3 + i*t**4 + h*t + y*t**2 and give v. 6 Rearrange (-2*m**2 + m**2 - 8*m**2)*(-146*m - 99*m - 39*m + (2*m - 3*m + 2*m)*(0 - 3 + 1)) to the form g*m**3 + f + y*m + s*m**2 and give g. 2574 Express 77*g + 927 - 517 - 410 + 250*g in the form u*g + a and give u. 327 Rearrange (i**3 + 19*i**3 - 4*i**3)*(-145*i + 142*i - 410*i) to p + b*i**2 + n*i**3 + c*i + r*i**4 and give r. -6608 Rearrange -27*a + 6*a**3 - 8*a**3 + 6296*a**2 - 8*a + 37*a to z*a**3 + y*a**2 + p + g*a and give y. 6296 Rearrange (10*u - 4*u**2 - 10*u)*(2895 - 12704*u + 2890 - 5785) to the form m + s*u**3 + l*u + j*u**2 and give s. 50816 Rearrange -1289*n - 314183 + 314183 to r*n + b and give r. -1289 Rearrange -7 - 4464*h**2 + 4463*h**2 - 14 - 16 - 2*h - 3*h**3 to the form i + b*h**3 + r*h**2 + f*h and give i. -37 Rearrange (-21 + 5 + 2)*(-3 + 11620*x + 0 - 11624*x) to the form m + b*x and give m. 42 Express 1205*p - 1 + 1 - 128*p + 6476*p in the form q + d*p and give d. 7553 Rearrange -7961 + 1176*k - 273*k + 7963 to the form m + n*k and give m. 2 Express 2 - 107*p - 111*p + 66*p - 3*p**2 - 104*p as b*p + h + x*p**2 and give b. -256 Rearrange -7788 + 7788 - 693*n**2 to x*n**2 + l + k*n and give x. -693 Express 30725 - 186*i**3 - 31557 + 183*i**3 in the form p*i**2 + c*i**3 + h + l*i and give c. -3 Express -17*r**3 + 4 + 21*r**3 - r - r - 5*r**3 + 2*r**2 in the form o + h*r**2 + l*r**3 + n*r and give l. -1 Rearrange i**2 - 5*i - 10*i + 7*i**2 - 7*i**2 + 296 + 22*i to the form n*i**2 + h*i + q and give h. 7 Express 195*n + 8*n**3 + 20*n**2 + 278*n - 469*n as q*n + u*n**2 + c + t*n**3 and give t. 8 Express (-2*w + 4*w + w)*(1 - 3 + 4)*(841*w + 2341*w + 37*w - 255*w) in the form o*w**2 + q*w + a and give q. 0 Rearrange (-4 + 2 + 0*p + 2*p)*(73*p**2 - 8905 + 17814 - 8905) to c*p**2 + h + r*p + x*p**3 and give x. 146 Express 12 + 17 + 90*h - 91*h + 130 + 61 in the form u*h + d and give d. 220 Express (-4 + 5 + 5)*(-i**4 - i**4 + 3*i**4) + (188 + 317 - 226)*(3*i**4 - i**4 - 3*i**4) as g*i**3 + c*i**4 + n*i**2 + w*i + h and give c. -273 Express (1 + 0 - 3)*(403 - 2889*y + 339 - 741) as w + u*y and give w. -2 Express 1877*r**2 + 50*r - 13*r - 9*r - 1880*r**2 + 44*r + 5 as m + p*r**2 + k*r and give m. 5 Express 2113327*c - 2113327*c - 457*c**4 + (2*c**2 + 0 + 0)*(-c**2 + 3*c**2 + c**2) in the form n + b*c**3 + d*c**2 + m*c + z*c**4 and give z. -451 Express -41*t**3 - 33*t**3 + 1395*t**2 - 5*t**3 - 1394*t**2 - 3 in the form q*t**3 + u*t + v + k*t**2 and give k. 1 Rearrange 4 + 4 - 9822*i**3 - 6 - 17*i + 9792*i**3 to the form j + c*i**3 + u*i**2 + n*i and give c. -30 Rearrange 21 - 8*f - 21 + (-549 + 367 - 1859)*((1 + f - 1)*(-5 + 4 + 0) - f + 2 - 2 - 2*f - f + f + 0*f + 0*f - 2*f) to the form t*f + g and give t. 12238 Rearrange m**2 + 7*m**2 - 24*m + 63*m + 24 - 11*m**2 - 2 to y*m**2 + d*m + a and give y. -3 Express -54 + 3*o**2 + 76102*o + 11*o**2 + 6*o**2 - 76099*o as q*o + n*o**2 + i and give i. -54 Rearrange p**2 + 266 + 11*p**3 - 5*p**3 + 0*p**3 - 6*p**3 - 2*p**3 to k*p**2 + f*p**3 + m*p + t and give f. -2 Express -58 - 103 + 162 + 302*r as f*r + b and give b. 1 Rearrange -88*x**3 + 4632 + 44*x**3 - 4*x**4 - 4633 to the form r*x**2 + z*x**3 + q + u*x + s*x**4 and give q. -1 Rearrange -4*h**4 + 6*h**4 - 10*h**2 + 5
{ "pile_set_name": "DM Mathematics" }
c + (2 - (-1 - -3)). Let j(s) = -s**3 + 9*s**2 - 9*s + 5. Let t be j(8). What is the biggest value in g, -5, t? g Let v(x) = -x + 1. Let h be v(12). Let i = h + 15. What is the smallest value in i, -1, 1? -1 Let q = 0.15 - -0.15. Which is the third biggest value? (a) q (b) -0.04 (c) -4/5 c Suppose o + 101 = 2*t, -3*o - 156 = -0*t - 3*t. Let s = 246/5 - t. What is the smallest value in -4, -3, s? -4 Let n = -38 - -38.1. What is the biggest value in 0.2, n, -1/4, 2/15? 0.2 Let r = 4.2 + -6.2. Which is the third smallest value? (a) 2/5 (b) 5 (c) r b Let d = 0.39 + 0.01. Let u = 4 - 0. Let r = -3.5 + u. What is the biggest value in d, r, -2/5? r Let q = -219 - -328. Let k = 3/2035 - 1992292/18315. Let c = q + k. What is the biggest value in c, -4, 2? 2 Let u = -41 - -37. Which is the third biggest value? (a) u (b) 4 (c) -1 (d) -0.2 c Let t(w) = w**2 + 7*w - 6. Let j be t(-8). Which is the fourth biggest value? (a) 0.5 (b) -1.6 (c) -0.2 (d) j b Let q = 12 + -16. What is the smallest value in q, -0.1, 2? q Let l be 4/(-14) - 12/7. Let u = 19.42 - 19.4. Which is the smallest value? (a) l (b) -0.3 (c) u a Let p = 1.02 + -1.02. Which is the third biggest value? (a) -2/5 (b) 1 (c) -1/4 (d) p c Let w be (-4)/(-2) + 0/2. Let h be 46/(-14) + w - -1. Let x = 53.9 + -54. What is the smallest value in x, -1, h? -1 Let w = -55797 - -2343611/42. Let j = -166 + 1138/7. Let t = j + w. Which is the smallest value? (a) t (b) 3 (c) 0.2 a Let j = -21.3 - -19.3. Let r be ((-9)/(-12))/((-10)/(-8)). What is the third smallest value in r, 0, j? r Let a = -7.01 - -0.01. Let t = a - -5. What is the third smallest value in -0.3, 1/4, t? 1/4 Let j = 0.05 - 0.45. Let o = -0.05 - 18.95. Let z = o + 19.3. Which is the third biggest value? (a) z (b) 0.4 (c) j c Let p = 2 - -3. Let a = -137 - -136. What is the biggest value in -7, a, p? p Let m = 6.37 - 6.4. Which is the third smallest value? (a) 3 (b) -0.06 (c) m a Let j = -717/11 + 65. Let i be (2 - 12/9)*6. Suppose -24 = 2*s + i*n, 4*s - n = -2 - 1. Which is the biggest value? (a) j (b) 0 (c) s b Let i = 2 + -5. Let n be (-46)/(-6) + (6/(-9))/1. Which is the second biggest value? (a) n (b) i (c) -0.2 c Let k = 9.82 + 0.18. Let h = 8 - k. Let t = -4.01 + 0.01. Which is the smallest value? (a) h (b) 0.4 (c) t c Let j be (-897)/35*(-10)/452. Let t = 1/226 + j. Let f = 2.2 + -4.2. Which is the second smallest value? (a) t (b) -4 (c) f c Let m = 10.5 + -13. Let v = 3 + m. Which is the biggest value? (a) v (b) 2/17 (c) 0.04 a Let x = -9.9 + 9.7. Which is the fourth biggest value? (a) -1 (b) 2.1 (c) -4 (d) x c Let t = -4 - -2. Let x = 1.8 + 3.2. Which is the third biggest value? (a) t (b) -1 (c) x a Suppose -3*f = -0*f - 9. Let y be f/(0 + 3) - 0. Which is the third biggest value? (a) 0 (b) y (c) -4 c Let a = -17/3 - -6. What is the smallest value in a, 2, -9? -9 Suppose -5*w = 3*j + 7 + 43, 4*j + 20 = 0. Let g be (-19)/(-7) - 2/w. Let o = -4 + g. What is the third smallest value in 4, 3, o? 4 Let o = 3 + -2.6. Let i = -0.16 + -1.84. Let f = 1.3 - 0.3. What is the smallest value in f, o, i? i Suppose 3 + 0 = -3*o. Let x = o + 2. Which is the biggest value? (a) -3 (b) x (c) -2/3 b Let s be (-2)/10*40/56. What is the third smallest value in 0.11, 1, s? 1 Let j = -7 + 6.4. Let q = j - -6.6. Let w = 6.3 - q. Which is the smallest value? (a) w (b) -0.2 (c) -5 c Let u = -0.6 + 0.66. Let i = u + -0.46. What is the biggest value in 0.1, i, -4? 0.1 Suppose 0 = 6*q + 17 + 13. Which is the second biggest value? (a) 5/6 (b) -0.4 (c) q b Let f = -2 + 0. Let l = -2.4 - f. What is the third smallest value in -2/7, l, 2? 2 Let o be -1 + 14 + (-1)/1. Let r be 3 - (-335)/(-45)*2. Let j = o + r. Which is the third biggest value? (a) -4/5 (b) 4 (c) j a Let p(m) = -m**2 + m + 2. Let o be p(2). Let k(i) = -i**2 + 10*i - 17. Let n be k(8). Which is the third smallest value? (a) n (b) o (c) -2/9 b Let p = 43 + -38. Let v = -28/51 - 2/17. Let q be 2*2/16*1. Which is the second biggest value? (a) p (b) v (c) q c Let y = 5/4 - 19/12. What is the second biggest value in y, 1, -0.2? -0.2 Let s = 2.1 + -2.2. Let l = s - 0.1. Which is the second smallest value? (a) 0 (b) 0.12 (c) l a Let p = 1.1 - 0.1. Let v = 0.52 + 0.08. Let n = 0.7 - v. Which is the biggest value? (a) p (b) n (c) -0.5 a Let c = 1.3 - 6.3. Suppose 0*d = 4*d + 36. What is the third biggest value in c, 0, d? d Suppose r - 59 = -b + 38, 3*r = -4*b + 289. Let f be r/742 - 2/7. Let t = f + 1/106. What is the biggest value in t, 1/2, -2/9? 1/2 Let y = 147 - 142. Let i = -6.94 - 0.06. Let u = i + 3. Which is the smallest value? (a) 2 (b) y (c) u c Let m be 2/((-4)/6) - 1. Let i be (-5)/m + (-1)/(-4). Let z = 6 + -8. Which is the biggest value? (a) i (b) 2 (c) z b Let u = -4.3 - 0.7. Let c = u - -4. Let v = -0.4 - -0.3. What is the biggest value in c, 4, v? 4 Let v(p) = -p**3 + 6*p**2 - 6*p + 2. Let a be v(4). What is the smallest value in 2, a, 1/3? 1/3 Let u = -16.3 - -16. What is the fourth smallest value in u, 3, -2, 4/11? 3 Let y = 4/89 + 53/801. Let k = 4/45 + y. Let f = 0 - -9. Which is the smallest value? (a) k (b) f (c) 0.5 a Let i = 0.061 - 0.161. What is the second biggest value in 0, -4, i? i Let w be -1*(-121)/(-220) + (-6)/(-8). Let v = -1.1 + 0.5. Let q = -0.2 - v. Which is the third biggest value? (a) w (b) -2/11 (c) q b Let f be (-16)/4*(-4)/8. What is the biggest value in 3, f, 1? 3 Suppose -n - 2*n + 19 = 5*k, -9 = -5*n + 3*k. Let l = -5 + n. What is the biggest value in 5, l, -2/3? 5 Let g = -5 + 0. Let m = -4 + 6. Let n = m + g. Which is the second smallest value? (a) 0.4 (b) n (c) -2/5 c Let g = -9 - -11. Suppose -4*v - 3*j - j + 12 = 0, -2 = -2*v + g*j. What is the smallest value in 5, -1, v? -1 Let n = 0.15 - 0.55. Which is the smallest value? (a) 5/4 (b) -2/3 (c) 0 (d) n b Let t = -11 - -9. What is the smallest value in -19, 4, t? -19 Suppose 0 = 4*z + 4, -5*r = 4*z + 1992 - 203. Let l be r/(-660) + (-1)/5. Let a = 12/11 - l. What is the second biggest value in a, 1/4, -5? 1/4 Let g = -15 - -1. Let y = -14 - g. Let r(x) = -4*x**2 + x. Let c be r(-1). What is the biggest value in -3/5, c, y? y Let p = -1.37 + 1.3. Let m = 0.37 + p. Let j = -0.05 - -0.25. Which is the third smallest value? (a) 2 (b) m (c) j a Let z = -1.46 + -0.04. Let o = -1.9 - z. What is the third smallest value in o, 4, 1/5? 4 Let s be ((-6)/(-4))/(-10 + 1). Let z = -6.1 - -6. What is the third biggest value in 3, z, s? s Let n = 269069/33 - 8153. Let p = n + -16/99. Which is the smallest value? (a) -0.5 (b) 3 (c) p a Let u = -2.95 - 0.05. Let h be (27/(-90))/((12/15)/(-1)). Which is the smallest value? (a) h (b) 1 (c) u c Let m = 2509 + -2519.93. Let j = m + 11. Which is the third biggest value? (a) 0.2 (b) -1/3 (c) j b Let y be (-10)/(-15)*3/(-4). Which is the second biggest value? (a) -0.1 (b) 4 (c) y a Let t = -0.2 - -0.6. Which is the third biggest value? (a) t (b) -0.5 (c) -1.2 c Let a = 50.61 + -51. Let w = a - 0.01. Let z = -0.4 - 0.1. What is the third biggest value in w, 3/2, z? z Suppose -4*i + 55 = 6*f - f, -45 = -3*i - 5*f. Let k be (-6)/i*4/6. Which is the second smallest value? (a) -0.2 (b) 0.4 (c) k a Let z = 8 - 11. Let i = 11/15 + -5/6. Let s be (2/10)/(((-9)/(-75))/3). Which is the third biggest value? (a) s (b) z (c) i b Let q = -25 + 24.7. Let u = -2.4 - -2. Which is the third smallest value? (a) 0.3 (b) u (c) q a Let o be 4/(-6) - (-51)/9. Let u = o - 1. What is the biggest value in u, -3, 3? u Let i be ((-2)/(-6))/(8/(-6)). Suppose -3 + 9 = -k. Let s = 8 + k. Which is the smallest value? (a) 0.5 (b) i (c) s b Let y = 9 - 4. Let d = y + -8. Which is the second biggest value? (a) -1/4 (b) d (c) 0 a Let k = 0.6 + 9.4. Which is the second biggest value? (a) -2/5 (b) k (c) -2 a Let b = 0.2 + -0.2. Let q = 0.17 + 3.83. Let c = b - q. What is the smallest value in c, 1, 5? c Let q = 12 + -17. Let f be ((-20)/6 + 0)*(-24)/(-100). What is the third smallest value in q, -3, f? f Let i be (8/(-3) - -4)/4. What is the second smallest value in -4, -3, i, 1? -3 Let i = -16/55 - -1/11. Let j = -11 + 15. Let n = j + 0. Which is the second smallest value? (a) i (b)
{ "pile_set_name": "DM Mathematics" }
*-5 - sqrt(152)) + ((-5*sqrt(152) - sqrt(152)) + sqrt(152))*-2)/(1*(sqrt(648)*-1 + sqrt(800)*2)). -21*sqrt(19)/11 Simplify 4 + (-3*(-1 + sqrt(1008))**2 + (1*(sqrt(1008) - (sqrt(1008) + -1*sqrt(1008))))**2)*3 + 2 + 5. -6046 + 216*sqrt(7) Simplify 4*((-1*sqrt(147))**2*-3 + sqrt(147)*-5 + -4 + 4 + -2). -1772 - 140*sqrt(3) Simplify (-3*sqrt(234)/sqrt(6)*-5*-4)/(sqrt(6)/sqrt(32) - -5*sqrt(432)). -240*sqrt(13)/241 Simplify (sqrt(147)/(sqrt(3) + sqrt(36)/(2*sqrt(12)))*-6)/(-2*-5*((sqrt(84)*-2)/sqrt(12) - sqrt(7))). 2*sqrt(7)/15 Simplify (sqrt(84)*1 + -1*sqrt(84)/sqrt(4))/((2*sqrt(3) + sqrt(3))*-6 - (sqrt(3) - sqrt(48)*-3)) + 1 + -3. -2 - sqrt(7)/31 Simplify (-3*3*(sqrt(153) - sqrt(17))*5 - (5*sqrt(136)*-2)/(-2*sqrt(72) + sqrt(72))) + -1. -280*sqrt(17)/3 - 1 Simplify (-1*(sqrt(880)*-1 + sqrt(880))*-1)/((-2*sqrt(176) + sqrt(121)/(sqrt(176) - sqrt(11)))*3)*1. 0 Simplify 3*((3*(sqrt(171) + 0))**2 + 0)*-4*-1. 18468 Simplify ((-5*(sqrt(204) - sqrt(204)*-3) - sqrt(204) - (sqrt(204) - (sqrt(204) - (sqrt(204) + 2*sqrt(204))))*-5)/(sqrt(132)/(5*sqrt(99) - sqrt(11))*-3))**2*-4. -53312 Simplify ((-6*(0 + 2*sqrt(80) - (-1*sqrt(80) + 1)) - (2 + sqrt(80)*2 + -3 + 1))*-2)**2. -3840*sqrt(5) + 128144 Simplify (0 + ((1 + sqrt(6292))*-3 + 5 + sqrt(832)*-1)*6)**2 + 2. -10656*sqrt(13) + 2562914 Simplify 1 + -5 + ((-4 + sqrt(300) + sqrt(300) + 2 + sqrt(300))**2 + sqrt(300)*2*-2)*4. -640*sqrt(3) + 10812 Simplify (2*(sqrt(85)*1*-1 + sqrt(85)*2*-4))/(1*5*-1*sqrt(80)). 9*sqrt(17)/10 Simplify 3*(sqrt(76) + (sqrt(76) - -2*sqrt(76))*6 - (-1*sqrt(76)*-2 + sqrt(76))**2) + (((sqrt(76) + 2)*1 + sqrt(76))*1 + 2)**2. -1732 + 146*sqrt(19) Simplify 1 + (((3*2*sqrt(80))/sqrt(4))/(sqrt(256) + -3*sqrt(256)*4 + sqrt(256) + sqrt(256) - sqrt(256)))**2. 329/320 Simplify 0 + -5*2*sqrt(1008)*1 - (-5*(-3*sqrt(1008) + -1) + -4). -300*sqrt(7) - 1 Simplify (2*5*(-2 + (sqrt(448) + sqrt(448)*-1 + 1 + (sqrt(448) + 2)*1)*-4))**2. 89600*sqrt(7) + 736400 Simplify 0 + (2*sqrt(320))**2 + sqrt(320) - (sqrt(320) + sqrt(320) + 2*sqrt(320))**2*1 - ((2*sqrt(320)*-6 - sqrt(320)) + -3 + -2 + sqrt(320))**2. -49945 - 952*sqrt(5) Simplify 5*-1*-3*5*(sqrt(245) + -1)**2*2*-6. -221400 + 12600*sqrt(5) Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) - 3*1*sqrt(156))))/sqrt(4))/(2*3*sqrt(147))*-6. 2*sqrt(13)/7 Simplify (5*((-4 + (sqrt(125) - (sqrt(125) - (1 + sqrt(125)))) + -2 + sqrt(125)*-1 - 2*(sqrt(125) + 0)*4) + 4))**2. 2000*sqrt(5) + 200025 Simplify 4 + sqrt(9)/(sqrt(3)*-5) + (-1 + sqrt(432) - sqrt(432)) + sqrt(21)/sqrt(7) + -4 + sqrt(3) + ((sqrt(30)*3)/sqrt(10) + sqrt(3))**2. 9*sqrt(3)/5 + 47 Simplify (sqrt(264)/((sqrt(66) - (sqrt(66)*-1 + sqrt(66) - sqrt(66)))/sqrt(11))*-6)/(1*sqrt(36) - (sqrt(4) - 5*sqrt(4)*2)) + -3. -3 - sqrt(11)/4 Simplify 5*((-1*(0 + -3*sqrt(19)) - (sqrt(2736) + -2 + -4))**2 + 2). -540*sqrt(19) + 7885 Simplify (4*(-2 + -1 + 4 + (sqrt(128) - (5*(-1 + sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128)) - -3*(-1 + sqrt(128))) + -3))**2. 131072 Simplify (sqrt(120)/(sqrt(10)/sqrt(2)) + sqrt(120)/(sqrt(45)/sqrt(9)))/((-1*sqrt(972)*-4 - sqrt(972)) + sqrt(972) + sqrt(972) - 6*2*sqrt(972)). -2*sqrt(2)/63 Simplify 0 + -1*(-2 + -3*(-4 + sqrt(1053)) + -1 + ((sqrt(1053) + -4)*-5)**2). -26734 + 1827*sqrt(13) Simplify ((5*sqrt(112)*1)/(sqrt(128)/sqrt(4) + sqrt(32)))/((-3*(sqrt(56) + sqrt(14)))/sqrt(2)*-4). 5*sqrt(2)/144 Simplify (sqrt(49) - (sqrt(294)*-1)/sqrt(6))/sqrt(1008) - ((4*-2*sqrt(7) - (((sqrt(126)/sqrt(3))/sqrt(6))**2 - sqrt(7))) + 5). 2 + 43*sqrt(7)/6 Simplify (-6*(1 + -5 + -4 + -5 + sqrt(68) + 4 + 2 + -1))**2. -1152*sqrt(17) + 4752 Simplify 0 + sqrt(4800) + sqrt(36)/(sqrt(72)/(sqrt(96) + sqrt(6)) + sqrt(12)) + -2 + (-1 + (sqrt(120)/sqrt(4))/sqrt(10))**2 + -1. 1 + 233*sqrt(3)/6 Simplify (((sqrt(144) - -5*sqrt(144)*-2)/(sqrt(6) + sqrt(6)*-2*1 + sqrt(6) + sqrt(6)))/(sqrt(96)/(sqrt(360)/sqrt(5))*-5))**2. 1458/25 Simplify 2*sqrt(19)*4*-5 + -1 + ((sqrt(19) + sqrt(19) + -1 + sqrt(19))*-5*3)**2 + -2 + 5. -1390*sqrt(19) + 38702 Simplify (-6*1*sqrt(1280)*4)/((sqrt(144) + -2*sqrt(144))/(sqrt(72)/(sqrt(16)/sqrt(2)))). 96*sqrt(5) Simplify 5 + 2*((sqrt(108) + -5*1*sqrt(108) + sqrt(108))*-1)/(sqrt(18)/(sqrt(132)/sqrt(11))). 5 + 36*sqrt(2) Simplify (-2*-4*6*((1*(1 + sqrt(405)) - sqrt(405))*-6 + -4) + 2)**2. 228484 Simplify 2*(-2 + (-4*sqrt(117) + -2 - (sqrt(117) + 3 + 5)**2)). -120*sqrt(13) - 370 Simplify -1*(5 + (3 + (sqrt(7) - sqrt(28)) + 0)**2) + (1 + sqrt(112) + 2 - (sqrt(112) + -5 + 0 + sqrt(112) + sqrt(112)))*-1. -29 + 14*sqrt(7) Simplify 5*(-2 + -2*(1 + 1 + (sqrt(243) + sqrt(243) + 1)*-6 + -2*sqrt(243)*-1))**2. 10800*sqrt(3) + 486180 Simplify (5 + (sqrt(25) + (sqrt(100) + sqrt(25))*2)/(-6*(sqrt(5) + 2*sqrt(5))) - ((sqrt(405) + sqrt(405) + 1 + sqrt(405))*3 + sqrt(405) + 1))**2. -1627*sqrt(5)/9 + 13235969/324 Simplify 1 + (1 + sqrt(68))**2*-6 + 2*(sqrt(68) - (0 + sqrt(68))) + -4*(sqrt(68) + (-1 + ((sqrt(68) - -4*sqrt(68) - sqrt(68)) + sqrt(68))**2 - sqrt(68))). -7209 - 24*sqrt(17) Simplify ((-4 + 1 + sqrt(80) + -3)*-1 + 3)**2 - (-3*(sqrt(80) + 1) + -3 - (-5 + 1 + sqrt(80))*5)**2. -5155 + 824*sqrt(5) Simplify 4 + ((sqrt(36)*1*-1 + (1*sqrt(2304) - sqrt(2304)))/(-2*2*sqrt(12) - (sqrt(108) - (sqrt(108) - (2*sqrt(108) - sqrt(108))))/sqrt(9)))**2*-2. 94/25 Simplify -6*sqrt(99)/(sqrt(441)*-3) + ((2*(2 + sqrt(176)))**2 - (sqrt(176) + 2*sqrt(176) + -4)**2). -880 + 1122*sqrt(11)/7 Simplify (-3 + (sqrt(162)*-2)/sqrt(9) - 2*((sqrt(288) + sqrt(18) + sqrt(18))/sqrt(9) - (sqrt(200) - 2*sqrt(200))))**2. 228*sqrt(2) + 2897 Simplify ((sqrt(972) + sqrt(972)*-3 - sqrt(972)) + sqrt(12))/(2*sqrt(196)) + (-5*(sqrt(432) - 1*sqrt(432)) - (-3*sqrt(432) + -4)). 4 + 239*sqrt(3)/7 Simplify -5*(((3*(-5 + sqrt(7)))**2 - (sqrt(7) - sqrt(63)/(4*sqrt(9)))) + sqrt(112) + -3 + 2 + 4). -1455 + 1735*sqrt(7)/4 Simplify (((2*sqrt(450) + sqrt(450) + sqrt(450))*4 + sqrt(450))/sqrt(10)*3)/(4*(1*sqrt(4374))/sqrt(6)). 17*sqrt(5)/12 Simplify 6*((-3*(sqrt(891) + (-5*sqrt(891) - sqrt(891) - sqrt(891))))**2 + sqrt(22)/(5*2*sqrt(2))). 3*sqrt(11)/5 + 1732104 Simplify -3*-5*(sqrt(510)/(sqrt(10)*1) + sqrt(1836)*-2 + sqrt(51))/(2*sqrt(243) + sqrt(3) + (sqrt(48) - sqrt(3))). -75*sqrt(17)/11 Simplify -3*((3*(1*sqrt(228) - sqrt(228)))/((sqrt(84) - sqrt(84)*-1)/sqrt(7)) - (0 + (5*sqrt(171) - (sqrt(19) - (sqrt(19) + sqrt(19)*1 + 4)))**2)). 384*sqrt(19) + 14640 Simplify 3*(0 + (sqrt(605) + sqrt(605) + 1)**2 + 5 + 3*(1 + sqrt(605)))*-2. -14574 - 462*sqrt(5) Simplify -4*(-4 + sqrt(288) + -1)*6 - ((sqrt(288) - 3*sqrt(288)*3) + -4 + 3). -192*sqrt(2) + 121 Simplify (-1 + (2*sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72) + 4 + 3*(sqrt(72) + -1) - (4*sqrt(72)*-1 + 4 + sqrt(72) + 2)))**2. -792*sqrt(2) + 8748 Simplify (-4*(sqrt(11) + -5*sqrt(11) + 4)*-6 + (sqrt(2816)/sqrt(4) - sqrt(396)/sqrt(4)))**2. -17472*sqrt(11) + 100307 Simplify 4*(sqrt(1440) - -2*sqrt(1440) - sqrt(1440))/sqrt(2) + 3*(sqrt(1125) - sqrt(45))*2. 168*sqrt(5) Simplify (6*2*sqrt(190)*1)/(-1*sqrt(360)*-2)*-4. -4*sqrt(19) Simplify (((3 + 2*sqrt(2592) - ((-2*sqrt(2592) - sqrt(2592)) + 4)) + -2 + 5 + -2 + sqrt(2592))*-5)**2. 2332800 Simplify 2 + -2*(6*(sqrt(72) + 2) + (sqrt(72) - -2*sqrt(72) - sqrt(72))*1 + -4). -96*sqrt(2) - 14 Simplify (-1 + (-4*(sqrt(300) + 3) - sqrt(300)) + (-4 + sqrt(3) + (sqrt(3) - (sqrt(3)*-4 + sqrt(3))) - 2*sqrt(3)*3)**2)*4. -168*sqrt(3) + 24 Simplify ((3*(-1*sqrt(468) - sqrt(468)) - (sqrt(468) - ((-4*(sqrt(468) + 1) - sqrt(468)) + sqrt(468))))*5 + sqrt(468) + 0 + sqrt(468) + -1 + -6*sqrt(468)*1)**2. 14868*sqrt(13) + 1629549 Simplify 6*(-1*-2*sqrt(288) + (sqrt(288) + -1)**2*3 + (5*(sqrt(288) + 3*sqrt(288) + sqrt(288))*1)**2). -288*sqrt(2) + 1085202 Simplify ((3*sqrt(275)*-3 + 5 + -3*(-5 + sqrt(275) + 0))*4)**2. -38400*sqrt(11) + 640000 Simplify ((sqrt(200) - 1*1*sqrt(200)) + 6*sqrt(200)*-3 + -5*(-3*(sqrt(200) - sqrt(200)*1) - -2*(sqrt(200) + sqrt(200)*1)) + 5)**2. -3800*sqrt(2) + 288825 Simplify (1*(-4 + sqrt(1700)) - (-2*sqrt(17)*6 + -3))**2 + 5. -44*sqrt(17) + 8234 Simplify (-5*(sqrt(68)*1*-6 + 1*sqrt(68)*-6 + sqrt(68) + sqrt(68) + sqrt(68)))/((sqrt(252)*-4)/(2*sqrt(28))). -15*sqrt(17) Simplify (-3*(4*(sqrt(832) + -1) + 4*2*sqrt(832) + 0 + (-1*sqrt(832) + sqrt(832))*2*-4 + 0))**2. -6912*sqrt(13) + 1078416 Simplify (4*(-3 + 3*(sqrt(125) + sqrt(125) + 3)*-5)*-5*-4)**2. 92160000*sqrt(5) + 73474560
{ "pile_set_name": "DM Mathematics" }
(sqrt(684) - ((sqrt(684) - 4*sqrt(684)) + 3)) + 5 + sqrt(95)/(sqrt(720) - ((sqrt(720)*5 - sqrt(720)) + sqrt(720) + sqrt(720)))*-6. 2 + 241*sqrt(19)/10 Simplify 4*(-3 + 4*(-3*(1*sqrt(2299))**2 - (sqrt(152)/(sqrt(8)*3) + 0))). -110364 - 16*sqrt(19)/3 Simplify (((sqrt(550) + sqrt(22))*4)/(sqrt(33)/(4*sqrt(3))) + -1 + (-5*(sqrt(20) + (sqrt(80)/sqrt(4) - sqrt(20))))/((2*sqrt(110))/sqrt(11)))**2. -187*sqrt(2) + 34971/2 Simplify (-2 + (1 + sqrt(245) + 0)**2*3 + 3)*-4 + 4. -2952 - 168*sqrt(5) Simplify (4*((sqrt(15) - (((-1*sqrt(180))/sqrt(12) - sqrt(15)) + sqrt(15))) + sqrt(15) + 1*(sqrt(15) + (sqrt(60)/sqrt(4) - sqrt(15)))))/(-2*-1*2*sqrt(75)). 4*sqrt(5)/5 Simplify -5*(((2*sqrt(99)*-4)/(-6*sqrt(36)))**2 + (-5 + 1 + 0 + sqrt(1100))**2). -50440/9 + 400*sqrt(11) Simplify 3 + ((-1 + sqrt(363) + sqrt(363) - (-1 + sqrt(3)*1) - (sqrt(3) + (-2 + -2 + sqrt(3) - sqrt(3)) - sqrt(12)/sqrt(4)*-2)) + -1)**2. 108*sqrt(3) + 984 Simplify 5 + (-3 + sqrt(3) + 2 + sqrt(3) - (sqrt(45)/sqrt(5))/sqrt(3)) + 0 + sqrt(3) + 1 + sqrt(3) + (1 + sqrt(3))*1. 6 + 4*sqrt(3) Simplify (-3*(sqrt(99) + (sqrt(99) - 2*sqrt(99)*-1) - sqrt(99) - (sqrt(99) + -2*sqrt(99)*-2))/(sqrt(81)/(sqrt(18)/sqrt(2))*5)*-6)**2. 14256/25 Simplify 6*(3*(sqrt(1700) + sqrt(1700) + 2 + sqrt(1700))*2*5 + 4 + -5 + 4). 378 + 5400*sqrt(17) Simplify -3 + -2 + (1*(sqrt(99) + sqrt(99) + -1) + (sqrt(99) - (sqrt(99)*-1 - sqrt(99)))*6)**2 + (2 + (-2*sqrt(99) + sqrt(99))**2 - -1*sqrt(99)*-6). -138*sqrt(11) + 39697 Simplify ((-3*sqrt(450)*1)/((sqrt(600) + sqrt(600)*1)*-3))**2*-5. -15/16 Simplify ((-5 + sqrt(5) + -2 + 1)*-2 + (sqrt(5)*3*-2 - (sqrt(160)/sqrt(4))/sqrt(8)))**2. -216*sqrt(5) + 549 Simplify 5 + -1*((6*((sqrt(704) + -3 - sqrt(704)) + sqrt(704))*-4*-6)**2 + 0) + -3. -14784766 + 995328*sqrt(11) Simplify 0 + 0 + (sqrt(270)/(sqrt(490) + 1*sqrt(490) + sqrt(490)))**2 + (-1*sqrt(81)/sqrt(27))**2*-5. -732/49 Simplify ((1 + sqrt(684))*-2)**2 + 5 + (sqrt(684)*-2)**2 + 3 - (1*(-2*(sqrt(209) - sqrt(209)*1) + sqrt(209))/(sqrt(11)*2*5))**2. 48*sqrt(19) + 548381/100 Simplify (sqrt(216) + sqrt(216)*2*-5 - -1*sqrt(216)*-4)/(-3*sqrt(1200)*-2*2). -13*sqrt(2)/40 Simplify -1 + 4*(5*-3*(5 + sqrt(1872) + -2 + sqrt(1872)))**2 + -1 + -3. 129600*sqrt(13) + 6747295 Simplify (1 + 2 + sqrt(605)*-3 + 3 + sqrt(605) + 0 + 4)**2. -440*sqrt(5) + 2520 Simplify ((6*(sqrt(153) + sqrt(153) + (sqrt(153)*-2 + sqrt(153))*-1)*-3)/(-3*sqrt(576) - (-2*sqrt(144) - sqrt(144) - sqrt(144))))**2. 12393/16 Simplify -3 + ((-1*sqrt(308)*-2 - (sqrt(308) + (2*sqrt(308) + sqrt(308))*5))/((sqrt(99) + 3*sqrt(99)*-4)/sqrt(9)))**2. 5125/121 Simplify ((sqrt(190) - (sqrt(190) + (-4*sqrt(190)*-1 + sqrt(190) - sqrt(190) - sqrt(190)))) + -1*sqrt(190)*2)/(sqrt(1210)*1 - sqrt(640)*-2) + -1. -1 - 5*sqrt(19)/27 Simplify ((-2*(sqrt(170) - sqrt(170)*1))/(-1*sqrt(160)) + (sqrt(17) - (-2 + sqrt(153)) - (sqrt(17) + -4)*-1))**2. 4*sqrt(17) + 21 Simplify 5 + -5 + 1 + -3*(-1*sqrt(128)*-5*-1)**2 + -5. -9604 Simplify 1 + ((2*(sqrt(176) + -2 - sqrt(176)) - (sqrt(176) - 2*(-3 + sqrt(176)))) + ((sqrt(176) - (sqrt(176) + 3 - sqrt(176))) + 5 - (sqrt(176) + 3)*-3))**2. 40*sqrt(11) + 4402 Simplify (sqrt(800) - (sqrt(800)*-1*2 + sqrt(800))) + sqrt(800)*1 + -4 - (5 + sqrt(80)/(sqrt(10) - (sqrt(30) - sqrt(1920))/sqrt(3))). -9 + 239*sqrt(2)/4 Simplify ((1*(sqrt(300) - (sqrt(300) + -2*sqrt(300)))*6*-1)/((sqrt(30)/(sqrt(10)/sqrt(2)) - 5*(sqrt(6) - (sqrt(6) - sqrt(18)/sqrt(3))))*-5))**2. 18 Simplify sqrt(567) + 4*(sqrt(567) - (-1 + sqrt(567))**2) + -3*1*sqrt(567) - (-3*(sqrt(567) - (sqrt(567) + -3)) + 0 + sqrt(567) + 0)**2. -2920 + 252*sqrt(7) Simplify (4*(2*sqrt(968) - sqrt(968))*-4)/(sqrt(20)/(sqrt(5) + sqrt(5)*-2) - (sqrt(144) + (sqrt(144) - -2*sqrt(144)))). 176*sqrt(2)/25 Simplify (-2*(sqrt(49) - sqrt(98)/sqrt(2)) + 2*sqrt(1764))/(sqrt(28)*2*2). 3*sqrt(7)/2 Simplify ((sqrt(171) + 1 + sqrt(171) + sqrt(171) + 4)**2 + sqrt(171) - 3*(2 + sqrt(171))) + (-6*2*sqrt(228) + sqrt(228))/(sqrt(72)/(sqrt(12)/sqrt(2))). 73*sqrt(19) + 1558 Simplify 3 + (3*sqrt(18)/sqrt(3)*5*-3)/(sqrt(6)/sqrt(2)*-6 + -2*sqrt(3)*-1). 3 + 45*sqrt(2)/4 Simplify ((-4*sqrt(64))/(2*sqrt(200)) + -3 + -2 + -2)**2. 56*sqrt(2)/5 + 1257/25 Simplify 1 + ((sqrt(363) - (1 + sqrt(363))*-1 - (sqrt(363) + (sqrt(363) + sqrt(363)*-2)*3) - (4 + 1*(-1 + sqrt(363)))) + 1)**2. -66*sqrt(3) + 3269 Simplify -4*-6*((sqrt(80) - (6*-2*sqrt(80) + sqrt(80)) - sqrt(80)) + 5 + (sqrt(80) - (sqrt(80) - -3*sqrt(80))) + sqrt(80) + -1)**2. 6912*sqrt(5) + 155904 Simplify (sqrt(45)/(sqrt(9) + sqrt(27)/sqrt(3)) + sqrt(5) - sqrt(5)) + -2 + 0 + sqrt(5) + -5 - (((-1*sqrt(135))/sqrt(9))/(sqrt(6)/sqrt(2)*6))**2. -257/36 + 3*sqrt(5)/2 Simplify (-5 + (-3*-3*sqrt(950))/((-2*sqrt(2200) + sqrt(2200))/sqrt(11)))**2. 45*sqrt(19) + 1639/4 Simplify -2*(sqrt(44) + 3 + -3 + (sqrt(11) + 0)*6*-4)*3. 132*sqrt(11) Simplify (sqrt(24)/(sqrt(96)/sqrt(8)) + -5)*-5 + (-3 + sqrt(10)/sqrt(180))*-6. -6*sqrt(2) + 43 Simplify 5 + (((-1 + sqrt(700) - sqrt(7)) + (sqrt(77)*4 - sqrt(77))/sqrt(11))**2 - (3*sqrt(567) - (-3 + (4*sqrt(7))**2))). -51*sqrt(7) + 1123 Simplify (sqrt(63) + -3*sqrt(63) - sqrt(63) - (sqrt(448) + sqrt(448) + 2) - ((4 + 2*sqrt(7))*1 + 4))**2. 540*sqrt(7) + 5203 Simplify (5*1*(-4*(-2*sqrt(78) - sqrt(78)) - sqrt(78)))/(-4*sqrt(18)/(sqrt(9)/sqrt(3))*-4). 55*sqrt(13)/16 Simplify (3*(-5 + 1 + -3*(sqrt(539) - (2 + sqrt(539) + 2) - (2 + -2*sqrt(539)))))**2. -10584*sqrt(11) + 176400 Simplify -6*(0 + 5*((sqrt(1216) - (0 + sqrt(1216) - sqrt(1216))) + -5)*-2)**2*1. -744600 + 48000*sqrt(19) Simplify 2 + (((sqrt(126) - -2*sqrt(126))*6 - (sqrt(126) - 2*sqrt(126)*6))/(((2*sqrt(140))/sqrt(4) + sqrt(35))/sqrt(5)))**2. 1684 Simplify (((sqrt(2736) - (0 + sqrt(2736)*3))*5 + 0 - (-4*sqrt(2736)*3 - (-1 + sqrt(2736)*-2)))*-2)**2. 4 Simplify -2 + ((sqrt(420)/(sqrt(48)/sqrt(4)))/(sqrt(125)*2) - (sqrt(14)/(1*-2*sqrt(2))*4)**2). -30 + sqrt(7)/10 Simplify -3*sqrt(3)*3 + sqrt(24)/sqrt(8) + -1 + 5 + ((sqrt(288)/sqrt(6)*-6)**2 - (sqrt(48) - (sqrt(48) + -1 + -1))). -8*sqrt(3) + 1730 Simplify ((-1*sqrt(440)*2)/(2*sqrt(640))*2)/((sqrt(16) + (sqrt(400)*6 - sqrt(16)) + sqrt(16))/(2*sqrt(12)/sqrt(3) - sqrt(4))). -sqrt(11)/124 Simplify -6*((sqrt(72)/(sqrt(240)/sqrt(10)))/(sqrt(66)/((sqrt(11) - -1*sqrt(11))*3 - sqrt(11))) + -4)**2. -171 + 120*sqrt(2) Simplify (-1*(sqrt(7) - (sqrt(7) + (sqrt(7) + 0)*6))*-6 + (sqrt(567) + -1 - sqrt(567) - sqrt(7)) + sqrt(252) + 4 + sqrt(252))**2. -150*sqrt(7) + 4384 Simplify 5 + 3 + -6*(-4 + -2*(sqrt(1573) + 2) + 5). 26 + 132*sqrt(13) Simplify -1 + ((-5*(1*(sqrt(91)*1 - sqrt(91) - sqrt(91)) - sqrt(91)))/(sqrt(700)*-1 + sqrt(7) + sqrt(56)/(sqrt(8) - (sqrt(16)/sqrt(2) + sqrt(8)))))**2. 12 Simplify (-1 + 4 + -3 + 2 + sqrt(1331) + (1 + sqrt(275) + -1 + -4)*4)**2. -868*sqrt(11) + 10767 Simplify 2 + (-6*sqrt(2268) + -4 + sqrt(2268) - (sqrt(2268)*1 + 3))**2 + 3. 1512*sqrt(7) + 81702 Simplify -1 + ((-5 + -1 + -1*sqrt(325))*-6*6*5)**2 + 0. 1944000*sqrt(13) + 11696399 Simplify -4*(((sqrt(130) - (sqrt(130) + sqrt(130)*1*-6 + sqrt(130))) + sqrt(130)*1*1)/(sqrt(80)/(sqrt(40)/sqrt(5)) + -2*sqrt(250)))**2. -208/9 Simplify (3 + sqrt(1584)*1 + sqrt(1584) - (1 + sqrt(1584) + 5) - (2*sqrt(1584) + -2 + sqrt(1584) + -5*-1*sqrt(1584)))**2*-3. -232851 - 504*sqrt(11) Simplify (4*(sqrt(3025) - -3*sqrt(3025))*1)/(sqrt(320)*-3 + -4*sqrt(5)*6 + sqrt(5)). -176*sqrt(5)/47 Simplify ((sqrt(1728) + (sqrt(1728) + -1*sqrt(1728) - sqrt(1728)))*4)/(-4*(sqrt(256) + (sqrt(256)*-2 - sqrt(256))))*3. 0 Simplify (-4 + 6*((1 + sqrt(2448))*-4 + sqrt(2448))*3)**2*4*4*-6. -685837824 - 9455616*sqrt(17) Simplify 3 + (-3*(sqrt(90) + -1*sqrt(90) + sqrt(90))*-4)/((sqrt(288)*1)/(sqrt(36)*2)). 3 + 36*sqrt(5) Simplify -4 + (3*(6*sqrt(8) - ((sqrt(10) - sqrt(160)) + sqrt(10) + sqrt(10))/sqrt(5)))**2 - (2*sqrt(1936))/(sqrt(288)*3). -11*sqrt(2)/9 + 3038 Simplify -1*2*((sqrt(1008) - ((sqrt(1008)*2 - sqrt(1008)) + -4)) + -5*(sqrt(1008) + sqrt(1008)*-5 + sqrt(1008)))**2. -453632 - 2880*sqrt(7) Simplify (-6*sqrt(900)*6)/((1*sqrt(132)*2)/sqrt(11))*6. -540*sqrt(3) Simplify ((sqrt(5103) - (sqrt(5103) + 2))*1 - (sqrt(2268) + -4 + 4))**2 + 3. 72*sqrt(7) + 2275 Simplify -3*-3*sqrt(112) + (sqrt(112) + -2)*-6 - (sqrt(112) + -2 + -4 - ((-2*sqrt(112) - sqrt(112))**2 + 3 + sqrt(112))). 12*sqrt(7) + 1029 Simplify (-1*((-4*sqrt(243))**2 + 1) - (6*-2*sqrt(363)
{ "pile_set_name": "DM Mathematics" }
(1/4)*z*z))/((z**(-2)/((z**(4/7)/z)/z))/(z**(2/3))**(-2/13)) assuming z is positive. z**(-7873/1092) Simplify (((k/(k/(k**(-3/11)*k)))/(k*k**8))/((k/(k/(k**(-7/4)/k)))/k)**(-1/23))**(-42) assuming k is positive. k**(179277/506) Simplify ((c**(-1/5)/c*c*((c/(c/(c/(c/c**(-35)))))/c)/c)**1)**(-21) assuming c is positive. c**(3906/5) Simplify (i**(2/59))**(4/9)*(i/(i*i/(i*i**35))*i)/(i**(-4/11)/i) assuming i is positive. i**(218329/5841) Simplify ((v**(-1))**(2/47)/((v**0/v)/v*v)**(-31/3))/((v**2*v)**(1/13))**3 assuming v is positive. v**(-20288/1833) Simplify (s*(s/s**1)/s)/s*s*s*s**(-5/2)*((s*s/(s**(-2/11)/s*s))/s)/((s/(s*s**7))/s)*(s**2)**40*(s*s**(3/7))/s**(2/5) assuming s is positive. s**(68307/770) Simplify (k*k*k/k**(-7)*k)/(k*(k**(-4/3)*k)/k)*(k/((k*k/((k**(-6)*k*k*k)/k))/k))/k**(2/9)*(k**(-8)*k**(1/11)*k)**(-1/35) assuming k is positive. k**(25324/3465) Simplify ((r**14*r/r**(2/7))/(r**4)**(-4/7))**(-2/13) assuming r is positive. r**(-34/13) Simplify (((n**(-5/7)*n)/n)/(n/(n*n*n*n*n/(((n/(n*n**(-20)*n))/n)/n)*n)))/(n**(-4))**(9/2) assuming n is positive. n**(37/7) Simplify ((((p*p*p**(-1))/p)**17/(p**0)**(-3))**(-3/20))**(1/23) assuming p is positive. 1 Simplify x/(x/(x/(x/x**(-19))))*(x/(x*x**43*x))/x*(x*x**(1/39))**(-2/13) assuming x is positive. x**(-32528/507) Simplify (n**(-23)/(n*n**(1/5)*n)*n*n*n*n**(-1/10)*n**(4/13))**(-30) assuming n is positive. n**(8577/13) Simplify (((q**1/q**1)**(19/5))**(-2))**(28/3) assuming q is positive. 1 Simplify ((j*j**(-5))/j*j*j**7)**(1/29)/((j/(j*(j**13*j)/j)*j)/j**0)**(-31/5) assuming j is positive. j**(-10773/145) Simplify (g*g*g*g**14*g*g*g)/(g*g**11)*(g/(g/(g/(g**(2/9)*g)))*g)/g*g**(1/49) assuming g is positive. g**(3439/441) Simplify ((g*g**(2/5)*g*g**(5/3))/(g*g**(1/4)*g)**(-8/11))/(g/(g**(1/6)*g)*(g/(g/g**(-3/4)))/g*(g*g**(-2))**(-47)) assuming g is positive. g**(-25991/660) Simplify (((k**(1/12)*k)/k)/k)/(k*k*k*k*k**5)*(k*k**(-1/4))**7*k**(-4/11)/k**6*k**(-4)/(k**0/k) assuming k is positive. k**(-463/33) Simplify ((m**(-17)/(m*m/m**(-1/4)))/((m/m**(-2/97))/m*m*m**(-1/16)))**(6/7) assuming m is positive. m**(-94089/5432) Simplify (z*z**5*z)/(z**(3/4)/z)*z**(1/2)*z**3*(z*z/(z*z**(-1/3))*z**(1/3)*z*z*z)**33 assuming z is positive. z**(659/4) Simplify (((i**(4/7)*i**5)/(i**(-7)*i*i**(-1/9)/i))**(4/7))**(-31) assuming i is positive. i**(-99076/441) Simplify ((k*k**(-9/2)/k)/(k**3*k))**(-46)*((k/(k/(k**1*k)))/(k*k*k*k**(-7)*k*k))/((k/(k*k**1*k))/k)**(29/2) assuming k is positive. k**(877/2) Simplify ((q*q/(q*q/(q*q**(1/8)/q)))**(-2/23))**(-25/2)*((q**(-2)/q)**27)**(2/21) assuming q is positive. q**(-9761/1288) Simplify (p/(p/p**(2/13))*p**(-1/4))/(p**(-2)/(p/(p*p**(5/2)/p*p)))*((p/(p*p**(2/19)*p))/((p*p/p**(-4))/p*p*p*p))**13 assuming p is positive. p**(-117537/988) Simplify (n/(n**1/n)*n**(-1/6))/(n**(-1/3)/(n*n**(-2/3)))*((n**(-2)*n)/n*n**(-1/10))**22 assuming n is positive. n**(-447/10) Simplify (((l*l**(-2/15))/(l/(l*l*l*l/l**(-3/5))))/(l/(l/(l/((l*l*l*l/l**(-24))/l))*l))**14)**(-5/11) assuming l is positive. l**(-5737/33) Simplify ((n*n**3)/n**(4/9)*(n**3)**(-33/4))**(4/5) assuming n is positive. n**(-763/45) Simplify (((s**(6/11)*s)/s)/s)**(2/137)*s**(4/3)/(s**20/s*s) assuming s is positive. s**(-84422/4521) Simplify (n**0*n*n*n/(n**13/n))**(-1/4)/(n*n/(n*n**(4/3))*n**(-2/7)*n*(n*n*n**(-4/5)*n)/((n/((n/(n*n*n**(-1/2)*n))/n)*n)/n)) assuming n is positive. n**(1331/420) Simplify ((u**(-2/11))**41/((u**3*u)/((u/u**5)/u)))**(-31) assuming u is positive. u**(5611/11) Simplify (k*k**8)/(k*k**(-1))*k**5*k*k*k*k**(-5)*k*(k**0)**(-1/2)/((k/(k/((k/(k**(-2)*k)*k)/k)))/k*k**(-5)) assuming k is positive. k**17 Simplify (q/q**(1/5)*q**(-7/2)/q)**(-1)*((q**13/q)/(q*q**(1/9)))**44 assuming q is positive. q**(43453/90) Simplify ((f**(-3/11)*f)/(f*f**27*f))/(f**(2/31)/(f/(f/(f**(-22)*f)))) assuming f is positive. f**(-16824/341) Simplify ((x/(x*x**0*x))/x)**31/((x/x**(2/11))/(x/x**1))*(x*x**(2/3)/x*x*x*x**5)/(x/(x*x/x**1*x)*x**3) assuming x is positive. x**(-1886/33) Simplify u**(-1)*u**(2/5)/u*u*u/(u**0*u)*u**(3/5)*(u**(-2/5))**(-30)/(u*u/((u/(u/(u*u/(u**0/u)*u))*u)/u))**11 assuming u is positive. u**34 Simplify (w*w**(-14)*w*w*w**6/w*(w*((w/w**3)/w)/w)**5)**(-4) assuming w is positive. w**84 Simplify (l**(1/4)*l**(-4/9)*(l**(-2)*l)**(-10))/((l*l**0)**43/(l/l**(-5)*l*(l/(l/l**(-7)))/l)) assuming l is positive. l**(-1231/36) Simplify (u/u**(-11)*u*u**7)**(-23)*(u/((u**(1/5)/u)/u))**23*(u/(u*u**(2/11)*u))/(u**(2/3)*u) assuming u is positive. u**(-65744/165) Simplify ((a**(-1)/a)**(-29/4))**(-11)*(a*a*a**0)**9*(a/a**(1/2))**(-29) assuming a is positive. a**(-156) Simplify (((j**(-13)/j*j)/j*j/(j**(-1/6)/j))/(j/j**(-2/11)*j**(-16)*j))**6 assuming j is positive. j**(131/11) Simplify ((j/(j/(((j/(j**2*j))/j*j)/j)))/(j/((j**(-4)*j*j*j*j)/j)*j)*(j*j*j**(-2/7))**45)/((j**(-2/11))**36)**(2/19) assuming j is positive. j**(105090/1463) Simplify ((d/(d**(2/3)*d))**(2/21)/(d/(d/((d*d/d**(-2/11)*d*d)/d))*d**(1/12)/d*d*d))/((d*d**1*d*d)**(3/4))**(-23) assuming d is positive. d**(179269/2772) Simplify (n**(1/25)/n)/n*n/n**(2/29)*n**(-32)*n**32 assuming n is positive. n**(-746/725) Simplify n**(-5/3)/n*n*n**(-7)/n*((n/n**(3/7))/n)/(n/(n**(-3/5)*n))*(n*n**1)**7/(n**(-3/4)*n**(-1/3)/n) assuming n is positive. n**(2263/420) Simplify (c/c**(1/10)*c*c*(c/((c*c/(c*c**(-7)*c*c))/c*c))/c)**(-2/31)/(((c*c**(1/4))/(c**1/c*c))/(c/(c/(c*(c*c**0)/c*c)))**(-11)) assuming c is positive. c**(-441/20) Simplify (((m**11*m)/m)**(6/25)/(m**(-12/5)/m)**48)**(2/47) assuming m is positive. m**(8292/1175) Simplify ((p*p**(-2)*p*p)**48)**(2/61)*p**(-1/4)/(p**8*p)*(p/(p/p**(1/3))*p)**8 assuming p is positive. p**(2189/732) Simplify p**(3/7)/(p*p/(p**2/p)*p)*p/p**4*p**(2/3)*(p**(2/7))**29*(p**(1/4))**(5/6) assuming p is positive. p**(257/56) Simplify ((k*k/(k*k**(-1)))**(-13/5)/(k**1)**18)/((k*k**(-3/4))/k**1*((k*k**3)/k*k)/(k/(k*k**(-7)))) assuming k is positive. k**(-389/20) Simplify (o**(-1/3))**(-24)/(o**(1/2)*o*o*o**0/o)*((o/o**(-4))/o**(-1/2))/(o**3*((o*o*o*o**(-2/3))/o)/o) assuming o is positive. o**(26/3) Simplify ((z*z**(-2/13))/(z/(((z**(-10/9)/z)/z*z*z)/z*z)*z))/(z**(-3/11)/z**(24/7)) assuming z is positive. z**(12940/9009) Simplify ((h/h**(-2/5))**(-42)*h**(-2/13)*h*h**(3/2))/((h**0*h**(-1)/h)/(h**0*h**(1/6))) assuming h is positive. h**(-10586/195) Simplify (d**19/(d*d*d**32*d)*d/(d/(d*d/(d**(3/20)/d*d))*d)*(d/(d**22*d))/d)**(-12) assuming d is positive. d**(2289/5) Simplify (a/a**(-15)*a**(-1/3)*a**15/a**(-11))**(-7) assuming a is positive. a**(-875/3) Simplify ((g/(g**(2/17)*g))**41*g**(7/5)/(g/((g/g**(-16))/g)*g))**31 assuming g is positive. g**(27869/85) Simplify ((h*h/(h/(h/(h/h**(-1/4))*h)))**0*h**(4/5)/h**(-2/3))/(h**(-1/4)/(h**(2/13)*h*h)*((h*h**2*h)/h*h)/h*h*h**(3/8)*h) assuming h is positive. h**(-2347/1560) Simplify ((((x/(x*x/x**2))**(-7/6))**(33/5))**40)**(43/3) assuming x is positive. x**(-13244/3) Simplify (((t**(-3/10)/t)**(-11/2))**(-47))**(1/25) assuming t is positive. t**(-6721/500) Simplify ((n**1)**(-3/7)*n**(-3/8)/(((n*n/(n*n**(-9/4)*n))/n*n)/n))**(-2/49) assuming n is positive. n**(115/1372) Simplify (((m/(m*(m**(-2/21)/m)/m))/m**6)/(m*m/(m**0/m))**(-7/6))/((m**(-2/5))**(-8/17))**(-5/4) assuming m is positive. m**(-121/714) Simplify ((t*t**(-4/11))/(t**(-2)/t))**15*t**(-2/7)*t**(-8)*t**(-1/7)/((((t*t/(t/(t/((t/t**6*t*t)/t)*t)*t*t))/t)/t*t)/t) assuming t is positive. t**(3320/77) Simplify (z**14*z**(-2/35)*(((z/(z**19*z))/z*z)/z)/(z/(z/(z**(-3/7)/z)*z*z*z)))**(18/7) assuming z is positive. z**(-1026/245) Simplify ((r*(r*r**7)/r)**36*(r**(-4/17)*r)/(r**(-13)*r))**(1/25) assuming r is positive. r**(5113/425) Simplify (f**(4/5)*f/f**(1/5))**(-1)/(((f*f**0*f)/f**(-2/9))/(f/((f**(1/3)*f)/f))**(9/4)) assuming f is positive. f**(-209/90) Simplify ((c**(1/4))**(2/127))**(2/5)*(c*c**1)**(-1/52)*(c**(1/7)*c)/c*c*c**5 assuming c is positive. c**(705667/115570) Simplify (m**(-1/11)*m/(m*m**(-3))*m**6/m**(-6/5))/((m*m/((m/(m/(m**(-1)*m)))/m))**32)**(-2) assuming m is positive. m**(11116/55) Simplify (y**(-2/41)*y**2)**(-2/81)/((y*y**(1/4))**(-30)*y**(1/11)/(y/y**8)) assuming y is positive. y**(2218229/73062) Simplify (((y*y*y**(-2/15))/(y**(1/10)*y*y))/(((y*(y/(y*(y/(y**(2/7)*y))/y))/y)/y)/(y/y**(-3))))/((y**(2/5)*y)**(-37)*(
{ "pile_set_name": "DM Mathematics" }
by y? 4 Let y be 0 + (-64)/(-12) + (-1)/3. Suppose z = -y*q + 3*z + 166, -5*q - 4*z + 148 = 0. Let l = 63 - q. Calculate the remainder when 90 is divided by l. 28 Suppose -3*l = -5*l + 3*c + 71, 0 = -3*l - 2*c + 74. What is the remainder when l is divided by 6? 4 Suppose -7743*o + 1053 = -7716*o. Let q = -8 - -13. Suppose -5*f + q*p + 5 + 60 = 0, -4*f + 55 = -5*p. Calculate the remainder when o is divided by f. 9 Suppose -303 = -3*k + 87. Suppose 2*x - k = x. Suppose 14*y = 4*y + x. Calculate the remainder when 20 is divided by y. 7 Let d(g) = -g**2 + 25*g - 67. Let a be d(22). Calculate the remainder when 52 is divided by a + 28 + 36/(-6). 10 Let g = -1167 + 1749. Let d = g - 279. What is the remainder when d is divided by 77? 72 Suppose -4*q = -3*f - 1913, 16*f - 1452 = -3*q + 24*f. Suppose -318 = -4*o - 2*o. What is the remainder when q is divided by o? 52 Suppose -95*g + 1224 = 5*g + 36*g. What is the remainder when 250 is divided by g? 7 Suppose 0 = 4*a + a + 2*c - 27, 4*a = -2*c + 22. Suppose a*q = 232 - 42. Calculate the remainder when (-2)/4 + (-4)/(56/(-3185)) is divided by q. 37 Let u(v) = 4*v + 306. Let r(g) = 49*g + 3675. Let f(k) = 3*r(k) - 35*u(k). Calculate the remainder when f(16) is divided by 11. 9 Let j(d) = d**3 - 14*d + 15*d + 9 + 21*d**2 + 35*d. Calculate the remainder when 90 is divided by j(-19). 43 Suppose -2*z = -11*z + 9. Let s(l) = -7*l + z - 18*l - 1. Calculate the remainder when 148 is divided by s(-1). 23 Suppose -5*r = -3*o + 6957, 59*r = 54*r + 30. Calculate the remainder when o is divided by 215. 179 Let l = 2931 - 2587. What is the remainder when l is divided by 89? 77 Suppose -2 + 0 = -2*c, 0 = 2*p - 5*c - 735. Suppose 9*j + 82 - p = 0. Let x(d) = d**3 + 5*d**2 - 3*d - 6. Calculate the remainder when j is divided by x(-5). 5 Let v be 375/35 - (-4)/14. Let g be 270/(-33) + 2/v. Let b(a) = a**3 + 7*a**2 - 16*a - 3. Calculate the remainder when b(g) is divided by 16. 13 Suppose 3*i - 509 - 118 = 5*q, -2*i + 420 = -3*q. Calculate the remainder when 234 is divided by i. 15 Suppose -5*m + 125 = -4*j, -m - 5*j = -4*m + 75. What is the remainder when (-64)/(-2) - (2 + -6) is divided by m? 11 Suppose -16*k + 5504 + 2068 + 6732 = 0. What is the remainder when k is divided by 34? 10 Let r(o) = 3*o**3 - 12*o**2 + 6. Let j be r(4). Suppose -44 = -28*i + j*i. Calculate the remainder when (1 + 1)/(-2)*-3 is divided by i. 1 Suppose -198*x + 202*x - 656 = -4*p, p + 5*x - 136 = 0. What is the remainder when 3057 is divided by p? 150 Suppose 7*l + 304 = 528. What is the remainder when l is divided by 9? 5 Let m(t) = -35*t**3 + 13*t**2 - 5*t - 7. Calculate the remainder when 387 is divided by m(-1). 19 Let n(f) = f**3 + 7*f**2 + 5*f + 2. Let m(i) = -16*i**2 + 145*i + 16. What is the remainder when m(9) is divided by n(-6)? 1 What is the remainder when 104 is divided by (-45)/(-18)*342/15? 47 Let m(x) = -x**3 - 3*x**2 + x. Let c = 31 + -30. What is the remainder when 17 + (2 - (-4 + c)) is divided by m(-4)? 10 What is the remainder when (-2)/4*456/(-12) is divided by 3 - (1 - (-12)/(-4))? 4 Suppose -760*x + 762*x = 14. What is the remainder when (1*3/(-6))/(x/(-1008)) is divided by 20? 12 Suppose 3*j - 496 = 3*c - 268, 4*j + 5*c - 241 = 0. What is the remainder when 3651 is divided by j? 63 Suppose 3*m = 3*z + 198, -6*m + 328 = -2*m + 4*z. What is the remainder when 281 is divided by m? 59 Let n(x) = -646*x + 10429. Suppose -9 = -3*g, 2*p + 4 = 5*g + 39. Calculate the remainder when n(16) is divided by p. 18 Let f = -544 - -534. Calculate the remainder when 257 is divided by (12*55/f)/(-2 + 1). 59 Let n(h) = -h**2 + 50*h - 518. What is the remainder when 1*-97*1/(-1) is divided by n(35)? 6 Suppose 20*l + 1480 = 10*l. Let u = 438 + l. What is the remainder when u is divided by 14? 10 Let f(k) = -25*k - 38. Let t be f(-2). Suppose 5*i = v - t, 5*v - 2*i - 62 = 21. Calculate the remainder when 18 is divided by v. 1 Let j(d) = -d**3 - 4*d**2 + 8*d - 1. Let h be j(-6). Let l(t) = -9 + h - 10 - t**2 - 11 + 18*t. Calculate the remainder when l(7) is divided by 24. 22 Let z = 30 + 54. Suppose 0 = 2*b + 2*m - 20 - z, 2*b = 4*m + 104. What is the remainder when 207 is divided by b? 51 Let w(d) = 21*d**2 + 619*d - 921. Suppose u + 73 = 2*l, 77 = 2*l + 6*u - 3*u. Calculate the remainder when w(-31) is divided by l. 34 Let p(n) = n + 5. Let b be p(-2). Let d be (b - (4 + -5)) + -2. Calculate the remainder when 31 is divided by ((0 - 1)/(-1))/d*14. 3 Suppose -5*t - 35 = -5*c, -c - 4*t = -0*c + 8. Suppose 19*m = 1130 - 275. Suppose 5*i + m = 2*h, 0 = i + 2*i + 9. What is the remainder when h is divided by c? 3 Let l(w) = -16*w + 160. Suppose 3*r + 9 = 2*d, -3 - 9 = -4*r. What is the remainder when l(d) is divided by 4? 0 Let v(c) = 2*c**3 + 6*c**2 + 2*c + 4. Let i be v(-3). Calculate the remainder when i + (-894)/(-6) + -3 is divided by 21. 18 Let x = -3518 - -3539. What is the remainder when 34 is divided by x? 13 Let i be ((-108)/21)/(10/(-35)). Let p(m) = -m**2 + 24*m - 4. Calculate the remainder when p(i) is divided by 22. 16 Calculate the remainder when 475 is divided by 489/5 - (-7)/(-35)*(6 + -7). 83 Let z(n) = 11*n + 169. Suppose -p = 5*f + 34, -p - 4*p = 5*f + 90. Calculate the remainder when 39 is divided by z(p). 9 Let o be 36/(-27)*(-66)/2. Suppose -4*p = -0*p, -4*p + o = 2*f. What is the remainder when 86 is divided by f? 20 Let h = -13725 + 13907. Calculate the remainder when h is divided by 96. 86 Let p(v) = -v + 55. Let q be p(-9). Suppose -41*o = -4*l - 36*o + 128, -2*l + q = 4*o. Suppose -3*g = -18 - 15. Calculate the remainder when l is divided by g. 10 Let x = 548 - 333. Let r = -202 + x. Calculate the remainder when 37 is divided by r. 11 Let t(l) be the second derivative of -l**5/20 + l**4/3 + 2*l**3/3 + 43*l**2/2 + 2*l + 15. Calculate the remainder when 471 is divided by t(0). 41 Let y(z) = -z - 12. Let m be y(-17). Suppose -3 = r - 3*u + 3, m*u = 5*r. Suppose j + r = 9. Calculate the remainder when 8 is divided by j. 2 Let l = -12 - -25. Let s = -50897 - -50957. What is the remainder when s is divided by l? 8 Let h(x) = -x**3 + 22*x**2 - 66*x + 28. Calculate the remainder when h(13) is divided by 101. 85 Let t(m) = -2*m**3 - 4*m**2. Let z be t(-3). Let r be -3*(-4)/(-24) + (-91)/(-14). Calculate the remainder when ((-42)/z - -2) + 704/r is divided by 17. 15 Suppose a = -v + 63, 2*a - 4*v - 44 = 58. Calculate the remainder when 5486 is divided by a. 58 Suppose -3*u - 8*v + 104 = 39, -3*u = -v - 110. Calculate the remainder when 80 is divided by u. 10 Suppose -3*s + 5*m = -172, 0 = 4*s - 4*m - 362 + 138. Let z = 40 + s. What is the remainder when z is divided by 49? 45 Suppose 4*x - 2*y = 7*x - 3627, -2*x + 2429 = 5*y. Suppose 1277 = 12*r - x. What is the remainder when r is divided by 21? 18 Suppose 7*q = 439 + 51. What is the remainder when q is divided by ((-225)/(-420)*8)/(3/14)? 10 Suppose -610 = -4*u - 5*n, 9*n = 2*u + 6*n - 316. Let c = 802 - u. Calculate the remainder when c is divided by 24. 23 Calculate the remainder when 1254/(-4)*((-122)/87 + 696/10092) is divided by 38. 0 Let m(g) = 19*g - 58. Let z be m(6). Suppose 6*j + 14 - z = 0. What is the remainder when j is divided by 4? 3 Suppose 3*f + 47 = 4*z, 3*z + 2*f = 15 + 33. What is the remainder when (24/51)/(-4) + (-8127)/(-153) is divided by z? 11 Let v = -230 - 13. What is the remainder when 3/((2/4)/(v/(-18))) is divided by 64? 17 Suppose 8*c + 9*c = 2873. Suppose 43 = -9*i + c. Calculate the remainder when 111 is divided by i. 13 Let i(o) = -2259*o - 4894. What is the remainder when i(-3) is divided by 59? 54 Let k be ((-22)/4)/(6/132). Let f = 777 + -738. Calculate the remainder when 2/11 - 13167/k is divided by f. 31 Let f(o) = -7*o**2 + 12*o**2 - o + 4 - 6*o**2 + o**3. Let i be f(0). Calculate the remainder when (-21)/6 + i + (-45)/(-2) is divided by 14. 9 Suppose -14*u = -20*u + 342. Calculate the remainder when u/19 + (1 - -21) is divided by 16. 9 Suppose 6 = -2*b - 4*v, 5*v = b - 2 - 16. What is the remainder when ((-3)/(-9))/((-21)/(-1953)) is divided by (70/7)/(3*1/b)? 1 Suppose 3*c - 12 = 0, w = -0*w + 2*c - 4. Suppose -5*m = 3*n - 578, -3*n - 1 = w*m - 464. What is the remainder when m is divided by 29? 28 Let z = 357 - -346. Let t = z -
{ "pile_set_name": "DM Mathematics" }
9? -18 What is 31 (base 7) in base 15? 17 8 (base 16) to base 9 8 What is 51 (base 8) in base 7? 56 -10 (base 10) to base 5 -20 33 (base 4) to base 2 1111 -62 (base 15) to base 10 -92 11 (base 12) to base 7 16 What is -130 (base 7) in base 10? -70 10 (base 4) to base 10 4 -2 (base 5) to base 8 -2 What is -1243 (base 5) in base 7? -402 Convert 0 (base 5) to base 3. 0 0 (base 3) to base 4 0 What is -302 (base 5) in base 9? -85 2 (base 15) to base 6 2 Convert -10 (base 3) to base 16. -3 Convert 19 (base 10) to base 11. 18 What is 0 (base 10) in base 7? 0 -2100 (base 3) to base 8 -77 What is -128 (base 12) in base 14? -c8 What is -35 (base 12) in base 5? -131 Convert 6 (base 12) to base 6. 10 100 (base 2) to base 7 4 -37 (base 9) to base 13 -28 What is -1 (base 2) in base 7? -1 -1 (base 10) to base 6 -1 -d (base 16) to base 9 -14 What is 40 (base 6) in base 13? 1b What is -1 (base 2) in base 6? -1 What is 3 (base 10) in base 16? 3 0 (base 9) to base 6 0 What is -12e (base 16) in base 2? -100101110 Convert -1 (base 7) to base 12. -1 Convert 10 (base 4) to base 15. 4 -12 (base 12) to base 3 -112 Convert 3 (base 16) to base 12. 3 -13 (base 9) to base 12 -10 What is 165 (base 11) in base 15? cc Convert 0 (base 14) to base 10. 0 Convert -22 (base 9) to base 6. -32 Convert 79 (base 12) to base 11. 85 0 (base 16) to base 7 0 What is 2 (base 13) in base 8? 2 Convert 7 (base 11) to base 16. 7 Convert 100 (base 2) to base 7. 4 3 (base 7) to base 16 3 Convert 1140 (base 5) to base 12. 122 0 (base 3) to base 9 0 What is 55 (base 9) in base 8? 62 11 (base 14) to base 4 33 Convert 242 (base 5) to base 2. 1001000 Convert -2 (base 8) to base 12. -2 What is 3 (base 8) in base 14? 3 -14 (base 16) to base 12 -18 -3 (base 8) to base 11 -3 Convert -5 (base 12) to base 15. -5 What is -57 (base 15) in base 8? -122 Convert 1221 (base 3) to base 14. 3a What is -1 (base 8) in base 16? -1 What is 10000 (base 2) in base 12? 14 Convert -13 (base 8) to base 10. -11 Convert -101 (base 3) to base 6. -14 What is -4 (base 13) in base 11? -4 What is 1 (base 2) in base 12? 1 What is 3 (base 6) in base 14? 3 Convert -1a0 (base 13) to base 16. -12b Convert -5 (base 8) to base 14. -5 What is 11 (base 2) in base 6? 3 -100 (base 2) to base 9 -4 Convert -2 (base 10) to base 13. -2 What is -22 (base 8) in base 2? -10010 What is 3 (base 13) in base 6? 3 Convert 101101 (base 3) to base 14. 160 What is 10 (base 13) in base 5? 23 Convert 1c1 (base 14) to base 13. 221 Convert 10 (base 5) to base 10. 5 1b (base 13) to base 14 1a 52 (base 6) to base 11 2a What is -e (base 15) in base 7? -20 Convert -11000111 (base 2) to base 12. -147 Convert 0 (base 11) to base 14. 0 What is -7 (base 11) in base 7? -10 Convert -3 (base 12) to base 4. -3 What is -241 (base 9) in base 7? -403 21 (base 6) to base 11 12 What is 18 (base 11) in base 4? 103 Convert 3 (base 11) to base 16. 3 What is 1110001 (base 2) in base 11? a3 -23 (base 13) to base 4 -131 What is -1 (base 5) in base 2? -1 Convert -110 (base 5) to base 14. -22 What is 110 (base 2) in base 10? 6 What is -2 (base 3) in base 5? -2 -3 (base 15) to base 14 -3 Convert -3 (base 11) to base 14. -3 What is -2 (base 9) in base 6? -2 1 (base 10) to base 5 1 Convert 3 (base 10) to base 4. 3 What is 10d (base 15) in base 14? 130 Convert 1 (base 2) to base 3. 1 What is -17 (base 15) in base 16? -16 0 (base 2) to base 9 0 What is 1d (base 16) in base 13? 23 What is -2 (base 9) in base 5? -2 Convert -4 (base 9) to base 5. -4 Convert -148 (base 11) to base 8. -255 Convert -211 (base 7) to base 11. -97 Convert 7 (base 13) to base 9. 7 120 (base 7) to base 16 3f What is -29 (base 12) in base 13? -27 16 (base 12) to base 14 14 What is 24b (base 13) in base 5? 3101 -a6 (base 11) to base 14 -84 What is -106 (base 14) in base 15? -d7 Convert -304 (base 11) to base 12. -267 Convert -4 (base 7) to base 11. -4 Convert -1b7 (base 13) to base 2. -100111111 Convert -11 (base 3) to base 8. -4 -300 (base 4) to base 9 -53 Convert -2 (base 7) to base 16. -2 -a (base 13) to base 6 -14 Convert 2 (base 3) to base 2. 10 What is 2 (base 6) in base 15? 2 What is -86 (base 12) in base 13? -7b 15a (base 12) to base 8 326 203 (base 9) to base 5 1130 Convert -3 (base 7) to base 16. -3 What is 266 (base 7) in base 16? 92 -144 (base 9) to base 2 -1111001 Convert 11 (base 10) to base 4. 23 What is 10020 (base 3) in base 5? 322 What is -4 (base 9) in base 4? -10 Convert -146 (base 7) to base 6. -215 Convert 1 (base 12) to base 9. 1 Convert 101 (base 2) to base 3. 12 What is 303 (base 7) in base 11? 127 -12 (base 12) to base 3 -112 Convert -5 (base 9) to base 14. -5 -2122 (base 3) to base 13 -56 -2 (base 12) to base 3 -2 231 (base 7) to base 5 440 -1c (base 14) to base 8 -32 Convert -12 (base 5) to base 2. -111 -a (base 13) to base 14 -a 2 (base 4) to base 13 2 Convert 23 (base 7) to base 5. 32 What is -73 (base 11) in base 4? -1100 What is -223 (base 6) in base 11? -7a What is 4 (base 15) in base 3? 11 What is 33 (base 7) in base 3? 220 Convert 63 (base 10) to base 16. 3f Convert 301 (base 5) to base 15. 51 1111111 (base 2) to base 16 7f What is -14 (base 12) in base 16? -10 What is 11 (base 5) in base 8? 6 What is 100 (base 2) in base 3? 11 What is -20 (base 12) in base 10? -24 What is -45 (base 13) in base 12? -49 Convert -235 (base 10) to base 12. -177 Convert -100110 (base 2) to base 15. -28 -431 (base 9) to base 7 -1012 What is -11020 (base 4) in base 2? -101001000 Convert -111 (base 4) to base 8. -25 What is 11011 (base 3) in base 11? a2 -1 (base 3) to base 9 -1 -202 (base 3) to base 8 -24 What is 52 (base 10) in base 16? 34 20 (base 3) to base 15 6 -3 (base 16) to base 6 -3 5 (base 7) to base 3 12 -b7 (base 13) to base 15 -a0 What is 2 (base 9) in base 2? 10 Convert -3 (base 10) to base 4. -3 Convert 60 (base 10) to base 11. 55 1ac (base 14) to base 16 15c Convert 198 (base 11) to base 15. 103 Convert 4 (base 10) to base 4. 10 What is a (base 14) in base 9? 11 Convert 11a (base 11) to base 5. 1032 40 (base 16) to base 13 4c What is 7 (base 9) in base 5? 12 What is 10101 (base 2) in base 10? 21 Convert -111 (base 3) to base 11. -12 Convert -19 (base 16) to base 7. -34 Convert 11 (base 2) to base 5. 3 -11 (base 12) to base 2 -1101 -132 (base 8) to base 6 -230 Convert 219 (base 10) to base 8. 333 -27 (base 11) to base 8 -35 -1 (base 16) to base 14 -1 Convert 1100 (base 2) to base 14. c What is 8 (base 16) in base 12? 8 What is -53 (base 12) in base 8? -77 What is -21 (base 10) in base 14? -17 Convert -1 (base 15) to base 5. -1 Convert 42 (base 10) to base 13. 33 1 (base 5) to base 15 1 Convert e8 (base 16) to base 9. 277 Convert 133 (base 6) to base 4. 321 Convert -1322 (base 4) to base 15. -82 -10 (base 2) to base 13 -2 31 (base 4) to base 14 d Convert 3 (base 10) to base 4. 3 Convert -4 (base 10) to base 8. -4 Convert 111 (base 2) to base 4. 13 Convert -2 (base 5) to base 2. -10 Convert 433 (base 7) to base 8. 334 Convert 1012 (base 3) to base 10. 32 Convert 30 (base 6) to base 3. 200 25 (base 9) to base 6 35 -32 (base 9) to base 12 -25 0 (base 10) to base 13 0 -10 (base 2) to base 5 -2 Convert -11 (base 2) to base 5. -3 What is 8a (base 11) in base 3? 10122 Convert 21 (base 10) to base 6. 33 -3 (base 13) to base 5 -3 15 (base 10) to base 12 13 -4 (base 7) to base 14 -4 What is -80 (base 15) in base 10? -120 144 (base 7) to base 15 56 Convert -4b (base 14) to base 8. -103 3 (base 6) to base 12 3 42 (base 9) to base 4 212 Convert -11 (base 9) to base 10. -10 What is 4 (base 8) in base 5? 4 Convert -15 (base 12) to base 9. -18 What is -10 (base 12) in base 9? -13 Convert 202 (base 9) to base 12. 118 Convert -10213 (base 4) to base 6. -1211 What is 0 (base 9) in base 14? 0 What is 110 (base 6) in base 12? 36 -353 (base 6) to base 10 -141 -6 (base 9) to base 16 -6 -424 (base 5) to base 15 -79 Convert -d5 (base 14) to base 16. -bb What is 4 (base 16) in base 9? 4 What is 2011 (base 3) in base 6? 134 What is c (base 15) in base 2? 1100 Convert 42 (base 10) to base 14. 30 Convert 112 (base 4) to base 8. 26 What is 13 (base 8) in base 16? b Convert -1 (base 14) to base 9. -1 1003 (base 5) to base 12 a8 What is 11 (base 2) in base 13? 3 What is 2221 (base 3) in base 15? 54 What is -55 (base 9)
{ "pile_set_name": "DM Mathematics" }
v(r) = 33*r - 42. Let b(x) = -6*c(x) - 13*v(x). What is h(b(j))? 117*j Let z(d) be the third derivative of 13*d**5/60 + 131*d**2. Let t(s) = s - 2. Let q be t(4). Let a(v) = q - 2*v - 2. Determine a(z(w)). -26*w**2 Let t(z) be the second derivative of -5*z**3/2 - 15*z. Let s(c) = -4*c. Let u(v) = -22*s(v) + 6*t(v). Let x(m) = -16*m. Calculate x(u(o)). 32*o Let j(y) be the third derivative of 0*y + 1/3*y**4 + y**2 + 0 - 1/2*y**3. Let v(q) = -1. Let c(f) = -j(f) + 3*v(f). Let b(t) = -t**2. What is b(c(u))? -64*u**2 Let g = 9 + -8. Let c(f) = 24*f**2 - 1. Let p be c(g). Let y(x) = -3*x**2 + 23 - p. Let d(o) = 3*o. What is d(y(m))? -9*m**2 Let g(m) = -4*m**2. Let a(d) = 38*d**2 + 7*d - 7. Let t(k) = -15*k**2 - 3*k + 3. Let z(c) = -3*a(c) - 7*t(c). Give z(g(j)). -144*j**4 Let j(v) = -v. Let a(l) = -12*l + 83*l + 24*l - l**2 + 23*l. Calculate a(j(h)). -h**2 - 118*h Let s(f) = 15041*f**2 - f. Let h(r) = -r. Calculate h(s(v)). -15041*v**2 + v Let g(t) = t. Let b(a) = 6*a. Let n(c) = -b(c) + 3*g(c). Let x be (-35)/(-11) + (-4)/22. Let h(m) = x*m + 3*m - 3*m. Calculate n(h(r)). -9*r Let q(n) = 312*n. Let j(p) = -54*p - 21. Calculate j(q(h)). -16848*h - 21 Let z be -1 - 7/(-1) - 6. Let c(y) be the third derivative of 0*y + z*y**3 + 0 - 7*y**2 + 7/15*y**5 + 0*y**4. Let g(v) = 2*v**2. Determine g(c(m)). 1568*m**4 Let z(l) = -22*l**2. Let c(y) = -1401*y**2 - 2. Give c(z(a)). -678084*a**4 - 2 Let r(x) = -1865*x**2. Let l(u) = 79*u**2. What is l(r(t))? 274779775*t**4 Let r(w) = 11*w + 7*w - 7*w - 10*w. Let v(a) be the second derivative of -4*a**4/3 + 2*a. Give r(v(q)). -16*q**2 Let o(p) = 22*p**2. Let v(s) be the first derivative of 11*s**3 - 432. Calculate v(o(j)). 15972*j**4 Let v(h) = -5*h. Let g(d) = d + 4*d - 17*d. Calculate g(v(w)). 60*w Let a(o) = -2*o**2. Let s(n) be the second derivative of -n**7/630 + n**4/6 - 17*n**2/2 - 4*n + 1. Let i(u) be the third derivative of s(u). What is i(a(r))? -16*r**4 Suppose -10608 = -5*a + 4787. Let o(p) = 3079 + 9*p**2 - a. Let k(s) = -2*s + 4. Let n(i) = -2*i + 3. Let m(j) = 3*k(j) - 4*n(j). Determine m(o(d)). 18*d**2 Let s(d) = 6*d**2 - 11*d. Let n(i) = i**2 - 2*i. Let z(y) = -11*n(y) + 2*s(y). Let f(u) be the second derivative of 2*u**3/3 - u. Calculate f(z(r)). 4*r**2 Let q(t) = -2*t. Let v(j) = 224*j - 61. Calculate q(v(x)). -448*x + 122 Let r(n) = -52*n. Let x(y) = 3*y**2 + 2563. Calculate x(r(b)). 8112*b**2 + 2563 Let c(d) = 2*d**2 - 9. Let j(n) = -133*n**2 - 6. Determine j(c(f)). -532*f**4 + 4788*f**2 - 10779 Let c(w) = 227*w**2 - 4. Let p(z) = -2*z**2 + 479 - 479. Determine p(c(s)). -103058*s**4 + 3632*s**2 - 32 Let k(f) = 229*f**2 + f + 615. Let i(u) = -2*u. Determine k(i(c)). 916*c**2 - 2*c + 615 Let o(v) be the second derivative of v**3 - 5*v. Let a(d) be the second derivative of -d**4/4 + 2*d + 57. Give a(o(q)). -108*q**2 Let n(y) = 29*y. Let t be (-1 - -12)/(12/12). Let m(l) = -8*l**2 - 2*l**2 + t*l**2. What is m(n(j))? 841*j**2 Let t(w) = 5*w. Let c(z) be the third derivative of -2*z**5/5 - 145*z**2. Determine t(c(n)). -120*n**2 Let c(g) = -53*g**2 + 1. Let n(k) be the third derivative of k**5/60 - 2*k**2 - 89*k. Determine n(c(v)). 2809*v**4 - 106*v**2 + 1 Let r(h) be the first derivative of 13*h**6/120 - 20*h**3/3 + 22. Let s(x) be the third derivative of r(x). Let u(q) = 2*q. Determine s(u(y)). 156*y**2 Let g(q) = -51*q**2. Let k(f) = -32*f**2 - 25*f**2 + 61*f**2. Give g(k(t)). -816*t**4 Let o(h) = -2*h. Let y = 2 + 11. Suppose 0 = 5*p + y + 7, 3*s + 2*p = 4. Let r(z) = -2*z - s + 4 + 11*z. What is o(r(u))? -18*u Let j(x) = -4*x**2. Suppose -4*i + 4 + 12 = 0. Let n(y) = 3*y**2 - 4. Let h(m) = -261*m + 261*m - 11 + 8*m**2. Let a(l) = i*h(l) - 11*n(l). Calculate a(j(q)). -16*q**4 Let c(w) = 3*w**2. Let j(n) = 289509*n**2. Give c(j(u)). 251446383243*u**4 Let l(b) = 2*b**2 - 8576. Let n(a) = -2*a. What is n(l(z))? -4*z**2 + 17152 Let j(a) = -2*a + 2. Let k(g) = 1013 - 4*g**2 - 2021 + 1008. What is k(j(l))? -16*l**2 + 32*l - 16 Let k(x) be the first derivative of -5*x**2/2 + 7. Let n(u) = u**2 - 3*u**2 + u**2. Determine n(k(r)). -25*r**2 Let c(m) = m**2. Let w be 2 + (4/(-1))/(-2). Suppose 0*a + w*a = 52. Let r(j) = a - 4*j**2 - 13. What is c(r(n))? 16*n**4 Let a(d) = -4*d**2 + 3 - 3 + 2*d**2. Let y(x) = -13*x**2. What is y(a(n))? -52*n**4 Let r(n) = 6*n**2. Let m = -93 - -105. Let b(g) = -m*g + 3*g + 3*g + 2*g. Determine r(b(h)). 96*h**2 Let b(w) = -w. Let r(f) = -14*f**2 + 7*f + 33. Determine r(b(d)). -14*d**2 - 7*d + 33 Let x(k) be the third derivative of -31*k**4/24 + 7*k**2. Let s(z) = 2*z**2 - 20. Let h(a) = a**2 - 8. Let t(d) = -5*h(d) + 2*s(d). Give x(t(r)). 31*r**2 Let t be 10 + (-7 - -7) + -8. Let y(h) be the second derivative of -13*h + 1/3*h**3 + 0*h**t + 0. Let b(n) = -2*n**2. Give y(b(g)). -4*g**2 Let b(i) = -6*i**2. Let c(z) be the first derivative of 5*z**2 + 41. What is b(c(m))? -600*m**2 Let l(y) = -2*y. Let h(c) = -c**2 + c + 1. Let k(q) = -4*q**2 + 6*q + 1. Let b(t) = -6*h(t) + k(t). Calculate b(l(n)). 8*n**2 - 5 Let m(b) be the third derivative of b**4/24 + 13*b**2 + 4. Let l(y) = -480*y**2. What is l(m(w))? -480*w**2 Let x(m) = 3*m. Let o(p) = 4*p + 8*p + 6*p + 3*p. Let j(l) = -4*o(l) + 27*x(l). Let i(w) = 2*w**2. Determine i(j(y)). 18*y**2 Let r(s) be the third derivative of -s**4/8 - 198*s**2 + s. Let p(l) = 103*l**2. Calculate p(r(j)). 927*j**2 Let n(f) = -12*f - 12*f + 5*f + 9*f. Let l(r) = 25*r. What is l(n(p))? -250*p Let s(o) = -2*o. Let u(f) be the second derivative of -625*f**3/6 - 12*f + 1. What is u(s(m))? 1250*m Let o(k) = 28*k**2 - 3 + 49*k**2 + 3 - 10*k**2. Let p(d) = 10*d. Calculate p(o(q)). 670*q**2 Let c(t) = -71*t**2 - t - 15. Let u(o) = 6*o. Give u(c(w)). -426*w**2 - 6*w - 90 Let c(h) = h**2. Let v(r) = -27*r + 6989. Calculate v(c(q)). -27*q**2 + 6989 Let u(v) = v. Let y(i) be the first derivative of -19*i**3 + i**2/2 - 296. Determine u(y(h)). -57*h**2 + h Let z(q) = -7313*q**2. Let k(n) = -9*n**2. What is z(k(o))? -592353*o**4 Let x(u) = u**2. Let p(g) = 5*g - 22681. Calculate p(x(n)). 5*n**2 - 22681 Let x(r) = -9*r. Let t(s) = -989*s - 5. Give x(t(c)). 8901*c + 45 Let l(t) = 13*t. Let u(j) = 3 + 4*j**2 - 6 + 13 - 10. Give l(u(b)). 52*b**2 Let b(p) = 17*p. Let m(y) be the second derivative of -2*y**3/3 + 45*y - 2. Give m(b(i)). -68*i Let o(p) = 6*p**2. Let l(q) = -1519*q + 1. Give l(o(i)). -9114*i**2 + 1 Let k(w) = -2*w. Let z(c) = -4496643*c. What is z(k(l))? 8993286*l Let n(q) = 2 + 154*q**2 - 172*q**2 - 2. Let p(j) = -3*j**2 - 17*j. Let l(g) = -g**2 - 6*g. Let o(k) = 17*l(k) - 6*p(k). Calculate o(n(s)). 324*s**4 Let d(u) = -2942*u. Let z(w) = -w**2. What is d(z(r))? 2942*r**2 Let b(l) = -29*l - 3. Let a(w) = -7*w + 61. Give a(b(i)). 203*i + 82 Let a(g) = 3*g**2. Let l(r) = -2258667*r**2. Determine a(l(u)). 15304729850667*u**4 Let x(q) = 151*q**2 + 149*q**2 - 297*q**2. Let h(n) = 111*n**2. Calculate x(h(i)). 36963*i**4 Let n = -35 + 38. Let b(h) = -n*h + 4*h + h - 4*h. Let z(y) = 13*y**2. Calculate b(z(d)). -26*d**2 Let t(g) = -2*g + 74. Let k(x) be the second derivative of -x**4/6 + 119*x. What is t(k(l))? 4*l**2 + 74 Let w be 2587/1592 - (-6)/16. Let m(d) be the first derivative of 0*d - 1/2*d**w + 10. Let y(t) = -13*t. What is y(m(v))? 13*v Let p(g) be the first derivative of g**2 - 13 - 44*g + 44*g. Let u(o) = -14*o. What is u(p(v))? -28*v Let h(q) = q**2. Let r(l) = -3*l - 1557. Determine h(r(m)). 9*m**2 + 9342*m + 2424249 Let a(p) = -271*p + 75. Let c(f) = 7*f**2. What is a(c(r))? -1897*r**2 + 75 Let p(f) = -f**2. Let i = 123 - 737/6. Let k(j) be the third derivative of 0*j + 0 + i*j**4 + 3*j**2 + 0*j**3. What is p(k(n))? -16*n**2 Let b(r) = -2*r**2. Let s(t) = -7*t**2 - 3*t + 5. Calculate s(b(f)). -28*f**4 + 6*f**2 + 5 Let r(d) = 12*d**2. Let u(g) be the second derivative of 0 - 27*g + 0*g**2 - 1/6*g**3. Give r(u(b)). 12*b**2 Suppose 3*s - 2*i - 1 = 93, 0 = 3*i + 15. Let u(n) = -s*n - 183 + 183. Let a(g) = 2*g**2. Calculate u(a(z)). -56*z**2 Let s be (18/2)/(9/21). Let v(c) = -16*c - s*c + 34*c. Let t(q) = 2*q. Give t(v(r)). -6*r Let h(n) = -10*n. Let t be ((-1)/12)/(-1)*1. Let a(p) be the second derivative of 0*p**2 + 0 + 0*p**3 - 4*p - t*p**4. Calculate a(h(y)). -100*y**2 Let s(b) = b**2. Let r(d) = 25*d - 12. Let u(k) = k - 2. Let a(v) = -r(v) +
{ "pile_set_name": "DM Mathematics" }
**2 - 13*t - 1. Let z be h(-3). Let n = z - -392. Let f = n - -652. Is f a composite number? False Let x(a) = -13*a - 39. Let z(c) = -c**2 + 2*c + 93. Let w be z(-9). Is x(w) composite? True Suppose r - 3*r = -10. Suppose -2052 = 4*m - 5*h - 15887, -2*m - h = -6935. Suppose r*f = m + 930. Is f a prime number? False Let r(m) = m**3 + 19*m**2 - 36*m + 49. Let s be r(-21). Let d = 1438 + s. Is d prime? True Suppose -5*g - 15 = -10*g. Suppose -b + 2052 = -h - 4*h, -4*h - 6211 = -g*b. Suppose o - 691 = n, -3*o = -0*o - 5*n - b. Is o composite? True Suppose -3026 = -2*n - c, 4*c + 667 = 5*n - 6898. Let p = n + 642. Is p a prime number? False Let n(u) = -u**3 - u**2 + 13*u. Let i be n(-4). Is 1/i + (-1704)/(-32) prime? True Let q = -34 + 126. Let w = -87 + q. Suppose 1635 = w*p - 9360. Is p a composite number? True Suppose 2*w = -56*w - 16*w + 8767372. Is w a prime number? False Suppose -2*f + 8 = 0, -4*f - 128 = -2*p - 2*p. Suppose p = t + 28. Let b(m) = 456*m - 5. Is b(t) prime? True Let j = 56035 - 17352. Is j prime? False Is 288/(-72)*((-92)/8)/((-2)/(-73)) a composite number? True Suppose 0 = 3*y + 4*r - 35, -y + 2*r + 7 = 12. Suppose 3*n + 65611 = 5*m, 13706 = 3*m - y*n - 25667. Is m prime? True Let o be 42/10 + 2/(-10). Suppose 2*t = u + 7, 4*u + 20 = -0*t + o*t. Is 804/(-8)*((-40)/6 + t) prime? False Let m(y) = y**3 + 14*y**2 - 9*y - 63. Suppose 0 = 18*s - 6*s + 96. Is m(s) a composite number? True Let k(r) = -679*r + 170. Let s(n) = -227*n + 57. Let z(i) = -6*k(i) + 17*s(i). Is z(4) prime? True Let x be 5 + (-20 - 369)*(-2 + 1). Let k = -87 + x. Is k composite? False Let f(q) = 691*q**3 + 8*q**2 - 24*q + 139. Is f(6) prime? False Let y(r) = 10*r**2 + 26*r + 2. Let c be y(-2). Is (13615/25 - 9) + 6/c a prime number? False Let q be 3/((-1)/((-8)/3)). Let g(m) = 41*m + 28. Let a be g(q). Suppose -57 = h - a. Is h composite? True Suppose 274*f - 108 = 272*f. Is (774171/f)/(2/4) a prime number? False Let t(v) = 315*v - 5. Let b(q) = 3*q - 8*q + 6*q. Let c(x) = -3*b(x) + t(x). Is c(1) a prime number? True Suppose -49*l = -43*l - 10752. Suppose b - 2391 = l. Is (-2)/1 + -5 + 1 + b composite? False Suppose -3*f + 4*k - 36 = 0, 0 = f - 5*k + 15 + 8. Let i be (-2581 - 2)*f/12. Suppose -y - 4*n = 349 - i, 0 = 4*y + 3*n - 5453. Is y prime? True Let h be 49 + -55 - 1*2*-1. Let g(y) = -5*y**2 + 5*y**2 + 15 - 15*y**3 + 3*y - 4*y**2 - 4. Is g(h) prime? False Suppose 0 = 2*j - 6, -2*j + 2 = -s - 0*s. Is 835 - ((s - 3) + 5) a composite number? False Let o(x) = 2*x**3 + 4*x**2 - x. Let g be o(3). Suppose 2*d = w + 484, -5*w = d - 259 + 6. Suppose 10*n - g = d. Is n prime? False Let a(n) = 266*n**2 - 5*n. Let q be (-1 - (-5 + 4)) + 4. Let u be a(q). Suppose 4*j - u = -4*v, 0 = -j + 6*j - v - 5271. Is j composite? True Let a = -59 + 113. Suppose -25 = -5*u - 10, 2*f - 4*u = -a. Let c = 68 + f. Is c composite? False Let p(u) = -2*u**3 + u**2 + u + 82. Let g(x) = -3*x**3 + x**2 + x + 82. Let o(v) = -3*g(v) + 4*p(v). Let f be 84/294 + (-10)/(-14) - 1. Is o(f) a prime number? False Suppose -20*h = 67 + 33. Is (20317/55)/((-1)/h) a composite number? False Let g = 548 - 544. Suppose 4*r + k - 335 = 5409, -g*r + k + 5752 = 0. Is r composite? True Let h = -11 - -12. Let s be ((-1)/2 + h)/((-1)/(-5854)). Suppose -2352 = -0*f - 4*f + b, -s = -5*f - 2*b. Is f a composite number? False Suppose -375926526 - 572871231 = -608*m - 148270301. Is m prime? True Let z = -31 - -32. Let l(t) = -6*t + 1. Let p be l(z). Is 4569/15 + (-2)/p composite? True Let u(g) = 14650*g**2 + 199*g - 8. Is u(-10) a prime number? False Suppose -18*f = -9*f. Let d be (197 + 0)/(f - 1). Let o = -34 - d. Is o a composite number? False Let k = -399 - 4171. Suppose 5 + 10 = -q. Is ((-3)/(-2))/(q/k) composite? False Let r be (-8)/12*-3 - -2. Suppose -7*q = -4*q - r*v - 23, 2*q + 4*v = 2. Suppose -q*x = -3*x - 662. Is x a composite number? False Suppose 66*i - 81*i = -34*i + 6394849. Is i a composite number? False Let n = 31238 - -18495. Is n a composite number? True Suppose -7*m + 36307 + 66292 = 0. Suppose -f = -5, 5*w - 3*f - 23883 = m. Is w prime? False Suppose 49*k + 155276 = 52*k - 5*o, k - 5*o - 51742 = 0. Is k composite? False Suppose 0 = u + 57*a - 54*a - 124468, -5*u + 5*a = -622280. Is u prime? True Let p = -343 - -440. Suppose -p*n = -94*n - 8241. Is n a composite number? True Let x = -98 - -75. Let n = x - -27. Suppose n*v - 1017 = -3*m, -m + 3*v - 2*v = -332. Is m prime? False Suppose 0 = 35*g - 253 - 272. Suppose i = g*i - 88802. Is i a composite number? False Suppose 34*h + 2586 = 35*h. Let k = h + -1201. Is k a composite number? True Suppose -14 = 4*g - 30. Suppose -g*q + 5*v = -45, q + 0*v - 3*v - 13 = 0. Let z(r) = 52*r - 1. Is z(q) composite? True Let i = 116696 + -70753. Is i a prime number? True Let w = -6150 + 3527. Let a = 8520 + w. Is a a composite number? False Let a(b) = 23126*b - 7197. Is a(23) composite? False Suppose 45*o + 166304 = 13*o. Let k = o - -12310. Is k a composite number? True Suppose 21*r - 5*l - 369820 = 16*r, 5*l + 221882 = 3*r. Is r a prime number? False Let l(t) = -3*t**3 - 3*t**2 - 6*t - 4. Let p be l(-3). Let u be p/85*(-5)/(-2). Suppose u*h - 212 = 2334. Is h a composite number? True Let y(i) be the first derivative of i**2 + 21*i + 9. Let p be y(-11). Is (5028/60)/(p/(-5)) a composite number? False Suppose -h = -3*o - 3, -7 = -h + 8*o - 9*o. Let d(y) be the second derivative of 16*y**3/3 + 11*y**2/2 - 2*y. Is d(h) prime? False Let l(s) = s**3 + s**2 - 8*s + 4. Let n be l(-4). Let h(i) = 5*i**2 + 4*i + 17. Let b be h(n). Let v = 4482 - b. Is v a prime number? True Let q = 1460 + -1452. Let a(c) = 300*c + 8. Let v(y) = y + 1. Let m(t) = a(t) + 10*v(t). Is m(q) composite? True Suppose 0 = -6*i - 15*i + 2*i + 2672141. Is i a composite number? False Let c(v) = v**2 + 4*v - 3. Let i be c(-6). Suppose 2*a - 88 = -4*h, 2*h = 5*a + i + 11. Suppose -8*t - 8076 = -h*t. Is t composite? False Let t = 1409 + -1395. Let r(s) = -816*s - 130. Let v(c) = -272*c - 43. Let w(o) = 2*r(o) - 7*v(o). Is w(t) a prime number? False Suppose -4*i + 3*a - 25 = 0, -5*i = 2*a + 365 - 328. Let u = -1 - 0. Is u/7 - 1646/i composite? True Let c(b) = 9*b**3 - 330*b**2 - 53*b + 393. Is c(46) a prime number? True Suppose -16184 = 6*d + d. Let l = d - -460. Let v = -1199 - l. Is v composite? False Suppose 4*o = -4*g + 12356, 4*g + 8293 = 2*o + 2091. Let x = -1300 + o. Is x a composite number? True Let l = 378300 + -258755. Is l a composite number? True Let s = 16281 + 193486. Is s a prime number? True Let h(w) = -25220*w + 465. Is h(-4) a prime number? False Let l(b) = 18697*b - 1032. Is l(7) prime? False Suppose 14*h - 21 = 7*h. Suppose -r + i = -1, h = -r + 2*i + 2. Suppose -2*k + 2003 = k + 5*d, -4*d = -r*k + 2021. Is k a composite number? True Let d = 9 + -7. Suppose 11352 = d*u - 5528. Is u/60*(-3)/(-2) composite? False Let u(r) = 2*r**2 - 7*r + 3. Let y be u(-2). Is (-1 - y/(-30)) + (-17590)/(-60) a prime number? True Is (-295216)/(-3) - 85/(-51) prime? True Let m(l) = -36*l - 91. Let d be m(25). Let c = 9000 + d. Is c prime? True Let m = 187 - 67. Let c = m + -66. Let v = 181 - c. Is v a composite number? False Suppose -66*z + 60*z + 627318 = 0. Suppose -6*p + z = 5*j - 10*p, -p + 3 = 0. Is j a prime number? False Let j be (-6)/(-5)*(-20)/(-8) - -12. Suppose -17*q + 3190 = -j*q. Let d = q - 1108. Is d a composite number? False Let i be (5 - -1 - 2) + -1. Suppose i*w + 1135 = 6214. Is w a prime number? True Let s(v) = -849*v - 28. Let g(h) = h**3 - 14*h**2 - 19. Let b be g(14). Let n be s(b). Suppose -9*z + 520 = -n. Is z composite? False Let w(f) = -154444*f**3 + 1. Let j be w(-1). Suppose -2*b + j = 3*b. Suppose 16*l = -2137 + b. Is l a composite number? True Let t be -7*1055/10*-2. Suppose -3*y - 4*k = -12179, 5*k - t - 14761 = -4*y. Is y prime? True Is ((-711151)/(-1064))/((-2)/(-1328)) a prime number? False Suppose 9*o - 78 = 7*o. Suppose 33*l = o*l + 2076. Let s = l + 509. Is s a composite number? False Let y be 2 - 1 - (-5 + -1 + 4). Let c(l) = -l + 1. Let f(u) = 126*u**2 - 2*u + 13. Let d(w) = c(w) + f(w). Is d(y) prime? False Suppose g - 1736 = -t, t + 5*g + 0*g = 1736. Suppose 2*m - t = 4*q, -2*q - 2672 = -5*m + 1660. Is m a prime number? False Let l(q) = 122*q - 27. Suppose
{ "pile_set_name": "DM Mathematics" }
g. 1/5 Three letters picked without replacement from yyyyyfyyyfyeyyyiiyy. What is prob of picking 2 y and 1 e? 91/969 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {x: 1, t: 3, z: 4, y: 1, b: 4, i: 1}. 12/91 Calculate prob of picking 3 l when three letters picked without replacement from {l: 9}. 1 Three letters picked without replacement from {q: 4, n: 3, a: 7, t: 2, o: 2}. Give prob of picking 2 q and 1 t. 1/68 What is prob of picking 2 u, 1 l, and 1 j when four letters picked without replacement from xululujulxlju? 16/143 Calculate prob of picking 2 r, 1 w, and 1 j when four letters picked without replacement from {h: 2, f: 2, r: 2, w: 1, j: 1}. 1/70 Two letters picked without replacement from {h: 3, e: 9}. Give prob of picking 2 h. 1/22 Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {k: 7, g: 3, b: 3, t: 2, d: 5}. 7/190 What is prob of picking 3 s when three letters picked without replacement from {s: 12, b: 1, r: 1}? 55/91 Three letters picked without replacement from {y: 5, g: 9}. What is prob of picking 2 g and 1 y? 45/91 What is prob of picking 2 w, 1 y, and 1 x when four letters picked without replacement from wwwyywywdxwwww? 108/1001 Two letters picked without replacement from rirlrzzrrfzf. Give prob of picking 1 f and 1 i. 1/33 Calculate prob of picking 1 d, 1 p, and 1 m when three letters picked without replacement from qrdmrdrrupqrppqdp. 3/170 Two letters picked without replacement from mpeuk. What is prob of picking 1 e and 1 k? 1/10 What is prob of picking 3 u and 1 d when four letters picked without replacement from {u: 11, d: 9}? 99/323 Two letters picked without replacement from ooooooohoooooooooo. Give prob of picking 2 o. 8/9 Four letters picked without replacement from {q: 1, h: 2, z: 3, g: 1}. Give prob of picking 1 q, 1 h, and 2 g. 0 Three letters picked without replacement from {q: 1, v: 1, p: 1, o: 1, y: 2, l: 2}. What is prob of picking 1 y, 1 o, and 1 p? 1/28 What is prob of picking 1 x and 1 k when two letters picked without replacement from {y: 1, x: 1, o: 1, k: 2, e: 1, r: 1}? 2/21 Two letters picked without replacement from pfppfpppppp. Give prob of picking 1 f and 1 p. 18/55 Calculate prob of picking 1 l and 1 s when two letters picked without replacement from ssll. 2/3 What is prob of picking 1 z and 1 i when two letters picked without replacement from zzzzzzzzzzizz? 2/13 What is prob of picking 4 d when four letters picked without replacement from {y: 1, e: 5, d: 7}? 7/143 Four letters picked without replacement from {x: 7}. What is prob of picking 4 x? 1 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {v: 1, c: 1, y: 2, s: 4, d: 3, e: 1}. 1/22 Two letters picked without replacement from bbbbbbobbbbbbbooboo. What is prob of picking 2 o? 10/171 Three letters picked without replacement from vlvkvlll. What is prob of picking 1 v and 2 l? 9/28 Calculate prob of picking 1 b, 1 r, and 1 m when three letters picked without replacement from {m: 1, q: 1, b: 1, d: 5, r: 2}. 1/60 Three letters picked without replacement from tttttttttttqtttttttt. What is prob of picking 3 t? 17/20 What is prob of picking 3 a and 1 x when four letters picked without replacement from wxxawwaaxaxwaxa? 20/273 Three letters picked without replacement from xtttwtvttttwxttw. What is prob of picking 1 w and 2 x? 3/560 Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 2, k: 1, a: 2}. 1/5 Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {m: 1, k: 2, v: 3, h: 1}. 3/35 What is prob of picking 1 f and 1 i when two letters picked without replacement from {f: 2, z: 1, r: 1, t: 2, i: 1, h: 8}? 2/105 Two letters picked without replacement from {q: 2, k: 1, c: 4, v: 2}. Give prob of picking 2 v. 1/36 What is prob of picking 3 a and 1 u when four letters picked without replacement from uuauuuuauuuuuua? 4/455 What is prob of picking 1 b and 1 d when two letters picked without replacement from irribdiiidiirdsddrnr? 1/38 What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 2, c: 1, l: 1}? 1/3 Two letters picked without replacement from uuus. Give prob of picking 2 u. 1/2 What is prob of picking 3 e and 1 u when four letters picked without replacement from esyjeepeuppee? 4/143 Four letters picked without replacement from dxdxsdx. What is prob of picking 1 d and 3 x? 3/35 What is prob of picking 2 e when two letters picked without replacement from {h: 1, d: 3, e: 4}? 3/14 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pppvvvvpvvv. 28/55 Two letters picked without replacement from {c: 2, k: 4, l: 2, o: 2, h: 2}. Give prob of picking 1 o and 1 l. 2/33 Two letters picked without replacement from ofoffff. Give prob of picking 2 f. 10/21 Calculate prob of picking 1 o and 1 x when two letters picked without replacement from zxorrxggxorxrgxorz. 5/51 Two letters picked without replacement from {x: 1, m: 2, z: 1, o: 8, a: 3, j: 5}. What is prob of picking 1 x and 1 j? 1/38 What is prob of picking 2 d and 1 w when three letters picked without replacement from {d: 2, w: 2}? 1/2 Two letters picked without replacement from jssissssssajsjiscscs. Give prob of picking 1 s and 1 a. 6/95 What is prob of picking 4 a when four letters picked without replacement from yaauyauayaaauuyya? 1/34 Two letters picked without replacement from {p: 2, j: 2, k: 1, d: 1, t: 2, l: 1}. Give prob of picking 1 k and 1 t. 1/18 Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cncnnnn. 0 Three letters picked without replacement from {d: 6}. Give prob of picking 3 d. 1 Two letters picked without replacement from zihzhxvl. Give prob of picking 1 z and 1 i. 1/14 What is prob of picking 1 p and 3 f when four letters picked without replacement from fppvpvvppfffp? 24/715 What is prob of picking 2 m when two letters picked without replacement from {y: 7, n: 3, q: 1, m: 5, t: 2}? 10/153 Four letters picked without replacement from xglsg. What is prob of picking 1 s, 2 g, and 1 l? 1/5 Calculate prob of picking 3 c and 1 l when four letters picked without replacement from {c: 7, l: 9}. 9/52 Four letters picked without replacement from wowzzsswcczzscwno. Give prob of picking 1 z, 1 n, 1 c, and 1 s. 9/595 What is prob of picking 1 y, 1 x, and 1 l when three letters picked without replacement from yxlyylyx? 2/7 Two letters picked without replacement from yuarryuyyauyayal. Give prob of picking 1 y and 1 r. 1/10 Three letters picked without replacement from tttkktktkkktkktkkktt. What is prob of picking 1 t and 2 k? 33/76 Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {t: 2, w: 1, s: 2, j: 7, g: 1, x: 6}. 7/171 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from qsqossqossqoosq. 8/35 Two letters picked without replacement from {n: 1, c: 1, d: 3}. Give prob of picking 1 n and 1 d. 3/10 Four letters picked without replacement from mkknnnhnkhnknkkkn. What is prob of picking 1 n, 2 k, and 1 h? 21/170 Three letters picked without replacement from {l: 2, u: 2, j: 1, y: 2, q: 1, g: 1}. What is prob of picking 1 u, 1 l, and 1 q? 1/21 Three letters picked without replacement from {z: 1, c: 2, a: 6, e: 3, q: 1}. Give prob of picking 2 c and 1 z. 1/286 Calculate prob of picking 1 c, 1 p, 1 t, and 1 l when four letters picked without replacement from cctpcccgpcltgppc. 2/65 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 9}. 1/55 Calculate prob of picking 2 r when two letters picked without replacement from {d: 1, r: 2}. 1/3 Four letters picked without replacement from ttbttbttttttt. What is prob of picking 1 b and 3 t? 6/13 Two letters picked without replacement from {r: 5, q: 5}. What is prob of picking 1 q and 1 r? 5/9 Four letters picked without replacement from wyvjhyyyaaaaayawv. What is prob of picking 2 v, 1 h, and 1 y? 1/476 Three letters picked without replacement from {i: 1, x: 2, o: 3, y: 1}. Give prob of picking 1 i, 1 x, and 1 o. 6/35 Two letters picked without replacement from jqc. Gi
{ "pile_set_name": "DM Mathematics" }
(5 + (sqrt(130)/(1*(sqrt(10) + sqrt(30)/sqrt(3))))**2)*-3 - (0 + sqrt(65)/sqrt(80) + (sqrt(65)/(sqrt(35)/sqrt(7)))**2). -151/4 - sqrt(13)/4 Simplify ((1*-1*sqrt(84) + sqrt(84))/(sqrt(256) + -1*sqrt(256) - sqrt(256)))/(4*sqrt(28) + sqrt(77)/sqrt(11)*-2). 0 Simplify ((-1*3*(sqrt(85) + -3*sqrt(85)))/(-2*(3*sqrt(45) - sqrt(45))) + 2)**2. -2*sqrt(17) + 33/4 Simplify (sqrt(117)*-3 + 3 + 1 + sqrt(13))**2 - (6*(sqrt(78) - (2*sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78))))/(2*2*sqrt(6)). -137*sqrt(13)/2 + 848 Simplify 3*(5 + (2 + -1 + sqrt(272) + sqrt(272) + sqrt(272)*-3*4)**2) + -2. -240*sqrt(17) + 81616 Simplify 2 + -2 + sqrt(63)/(sqrt(108)/(sqrt(192) + sqrt(12) - sqrt(12))) + 0 + -2*(-5 + -4*sqrt(28)/sqrt(4))**2. -274 - 76*sqrt(7) Simplify -1*((6*2*sqrt(50) + (-2*sqrt(450))/sqrt(9))/(sqrt(50)/(sqrt(10)/sqrt(2)) + sqrt(1440)*-1))**2 + 5. 105/121 Simplify (-6*5*(-2 + sqrt(153) + (4*(sqrt(153) + -3) - sqrt(153)) + sqrt(153) + -1 + 5))**2. -270000*sqrt(17) + 3532500 Simplify (-5*sqrt(78)*-2 + (sqrt(78) + sqrt(78)*-2 + sqrt(78))*-1)/(sqrt(294) + -3*sqrt(294)*1 + sqrt(294) - -6*(sqrt(294) - -1*sqrt(294))). 10*sqrt(13)/77 Simplify (sqrt(90)/(3*sqrt(5)) + sqrt(18) + sqrt(162)/(sqrt(45)/sqrt(5)))/(2*sqrt(324)*-4*-3). 7*sqrt(2)/432 Simplify (sqrt(91)*-1*2*2)/(sqrt(14)/(sqrt(2) + 2*sqrt(2))*2). -6*sqrt(13) Simplify -2 + (6*(sqrt(66)*1 + sqrt(66))*-2)/(-5*sqrt(600)*-2). -2 - 6*sqrt(11)/25 Simplify (sqrt(99)*2*1)**2*1 - (-1 + (sqrt(11)*-4 - sqrt(11)) - ((sqrt(11) + -1)*-6)**2). -67*sqrt(11) + 829 Simplify (((-4*sqrt(400)*-1 - sqrt(400))/sqrt(8))/(sqrt(50)/((sqrt(200)/sqrt(4))/sqrt(10))))**2*-3. -135 Simplify (-4*(-4 + -2*3*-2*sqrt(68)*-1))**2*-6. -941568 - 18432*sqrt(17) Simplify -2*(sqrt(700) + 1) + 5 + (-5*(sqrt(1008) + 0)**2 - (sqrt(63) + 0)*-2). -5037 - 14*sqrt(7) Simplify -4*(2 + -3 + 3*(sqrt(832)*1 + -3)*-6). -212 + 576*sqrt(13) Simplify ((sqrt(84)*-2*-3*4)/(sqrt(70)/(sqrt(90)/(sqrt(9) - sqrt(9)*3))))**2 + -4. 1724 Simplify (4*6*(sqrt(66) + sqrt(66)*3 - sqrt(66) - sqrt(66)))/(1*(sqrt(6) + (sqrt(294)*-2 - sqrt(294)))) + 0. -12*sqrt(11)/5 Simplify ((sqrt(616) + (-5*sqrt(616) - sqrt(616)))/sqrt(11) - (sqrt(896) + sqrt(56))*-1)/((sqrt(128) - -1*sqrt(128))*5*-5). 0 Simplify 6*(5 + 1 + ((2*sqrt(320) - sqrt(320))*-6 - -5*(sqrt(320) - (1 + sqrt(320))))**2). 2880*sqrt(5) + 69306 Simplify (sqrt(18)/(-3*sqrt(3)) - (sqrt(6) + sqrt(6) + sqrt(600)*2))/((sqrt(1210)*-2)/(-1*(sqrt(5) - (sqrt(5) + sqrt(45))) - sqrt(5))). 67*sqrt(3)/33 Simplify (sqrt(6)/(-2*sqrt(243)) + 1 + (-5*(-2 + sqrt(162) + -2))**2)*6. -32401*sqrt(2)/3 + 26706 Simplify -5 + ((sqrt(54)/sqrt(3)*-6)/(4*1*sqrt(9)) + -2)*-6. 7 + 9*sqrt(2) Simplify ((5 + 2 + (-2 + sqrt(171) + (sqrt(171) + 0)*-1 + 5)*-4)*2)**2. 100 Simplify -5 + (((-1*sqrt(1300)*3 - sqrt(1300)) + (sqrt(1300) - 5*(sqrt(1300) + -2)))*-3)**2*-5 + -4. -3748509 + 72000*sqrt(13) Simplify 0 + 1*(2*sqrt(4)*6)/((sqrt(98)/sqrt(7))/sqrt(7) + sqrt(2))*-3. -18*sqrt(2) Simplify -2 + -4 + (-3*sqrt(120)*4)/((sqrt(810) + -2*sqrt(810))*-3). -6 - 8*sqrt(3)/9 Simplify (sqrt(170)/sqrt(5)*-2*-3*-2)/(1*1*sqrt(1152) + sqrt(1152)). -sqrt(17)/4 Simplify 3 + ((-5 + (sqrt(13) - (sqrt(13)*-2 + sqrt(13))))*5)**2 + (sqrt(637) + -3 + -3 - sqrt(637))**2 + -1. -500*sqrt(13) + 1963 Simplify 2*4*(-4 + sqrt(19)*1 + sqrt(19) + sqrt(19) + (sqrt(76)/sqrt(2))/sqrt(2))**2 + (sqrt(171) - 6*(sqrt(171) - sqrt(171)*-3))/(sqrt(576)*2). -4119*sqrt(19)/16 + 2560 Simplify (sqrt(91) - (-5*sqrt(91)*-1 + sqrt(91) - sqrt(91) - sqrt(91)) - -1*-1*sqrt(91))/(((sqrt(56) - sqrt(1400)*-1) + sqrt(56))/(sqrt(288)*2 - sqrt(288))). -24*sqrt(13)/7 Simplify (-3 + (2 + (((sqrt(132) - 1*sqrt(132)) + sqrt(132))*-2)/sqrt(12) + 4 + (sqrt(396) - (-2 + sqrt(396))) + sqrt(396) + 5)**2)*1. 342 + 104*sqrt(11) Simplify (-4 + 2*(sqrt(1700) + 0)**2*-1*5*-2)*-6. -203976 Simplify 4 + ((sqrt(637) - (sqrt(637) - -2*sqrt(637)))*6 + 1*(0 + sqrt(637)) + (1*sqrt(637)*-5 - (sqrt(637) + 5 + (sqrt(637) - 2*sqrt(637)) + sqrt(637))))**2. 1190*sqrt(13) + 184122 Simplify -3*5*(-2 + ((sqrt(2299) + sqrt(2299)*-2 - sqrt(2299)) + sqrt(2299))*-1)*-4*4. -480 + 2640*sqrt(19) Simplify ((3*sqrt(117)*-2*5*2)/(-5*sqrt(144)*3 + sqrt(144) + (sqrt(144) - (sqrt(144)*-1 + sqrt(144) - sqrt(144))*4)))**2. 325/9 Simplify ((3*(sqrt(152) - 3*sqrt(152)*-2 - sqrt(152)))/(sqrt(8)*1*-6*2))**2 + 0. 171/4 Simplify 6*(4 + (sqrt(3) - (-1*sqrt(3) + sqrt(3))**2*1))*1 + (sqrt(75) - (sqrt(75) + 3))**2*-5 + ((1*sqrt(75))**2 + sqrt(75))*-6. -471 - 24*sqrt(3) Simplify -2*(2 + sqrt(6)/(4*sqrt(2)) + (sqrt(108)*1 - sqrt(3) - sqrt(3)) + 3) + 3. -17*sqrt(3)/2 - 7 Simplify -4*3*(sqrt(3648) - ((sqrt(3648) - sqrt(3648)*-1)*3 + sqrt(3648)))/(((sqrt(231)*-2)/sqrt(7))/sqrt(11)). -288*sqrt(19) Simplify (-5 + 2*(-4 + (sqrt(2) - sqrt(2)*-1))*-1 + 4*1*sqrt(2)*-4*1*-1)**2. 72*sqrt(2) + 297 Simplify (((sqrt(18) + -1)*-3 - sqrt(450)*3) + sqrt(90)/(sqrt(25)/sqrt(5)) + (sqrt(18) - sqrt(198)/(sqrt(275) + sqrt(11))) + sqrt(18) + 5)**2. -728*sqrt(2) + 8409/2 Simplify ((-3 + sqrt(1053) + sqrt(1053) + 0)*6 - (3*(sqrt(1053)*-1 + 1 + sqrt(1053)))**2)*-6. -648*sqrt(13) + 162 Simplify ((sqrt(96) + sqrt(96) + sqrt(96) + -2*sqrt(96)*-2)*-4)/((sqrt(825) - sqrt(33))/sqrt(11) + (4*(sqrt(3) - sqrt(12)) - sqrt(3))). 112*sqrt(2) Simplify (3*(-1*sqrt(600))/(sqrt(8) - (sqrt(800) + sqrt(800)*-3 - sqrt(800) - sqrt(800))) + 5)**2*-5. -213500/1681 + 750*sqrt(3)/41 Simplify -6*(sqrt(324)/((-1*sqrt(96) + sqrt(96))/sqrt(8) + sqrt(12)) + 4 + (-1*(sqrt(2187) + sqrt(2187)*-2) + 5)**2). -13296 - 1638*sqrt(3) Simplify (sqrt(14)/sqrt(7) + sqrt(2) + 0 - sqrt(2) - (-2 + sqrt(242)))**2 - ((sqrt(12) - 5*sqrt(48))/(-1*(sqrt(54) - sqrt(6))))**2. -40*sqrt(2) + 327/2 Simplify (sqrt(720)*2)**2*-3 + sqrt(720) + 2 + 2 + (sqrt(25) + (sqrt(25) - ((sqrt(25) - -2*sqrt(1225)) + sqrt(25))))/(sqrt(50)/sqrt(90))*-4. -8636 + 180*sqrt(5) Simplify (((0 + sqrt(162))*1 + -3*1*sqrt(162) + 1 + -2 + sqrt(162) + 3)*-6 + 5)**2. -756*sqrt(2) + 5881 Simplify 3*(2 + -3*((0 + sqrt(1216) + 1 - sqrt(1216)) + sqrt(1216) + (sqrt(1216) - ((-1 + sqrt(1216))**2*-5 - sqrt(1216))))*-1). -504*sqrt(19) + 54780 Simplify -5 + (((1 + sqrt(700) + -5 - (0 + sqrt(700))*5) + -3 + -6*(-2 + sqrt(700)))*-3)**2*6. -54000*sqrt(7) + 3781345 Simplify -6*((6*(sqrt(1573)*4 + 4 + sqrt(1573) + sqrt(1573) + sqrt(1573) + -3*(-4*sqrt(1573) + sqrt(1573) + sqrt(1573))))**2 + 3). -57424266 - 247104*sqrt(13) Simplify (-4 + ((sqrt(175) + sqrt(175) + -3*sqrt(175)*2 + sqrt(175))*1 - ((sqrt(175) - (1 + 2*sqrt(175) + sqrt(175))) + sqrt(175)*-2*1))**2)*3. 30*sqrt(7) + 516 Simplify ((-3*-4*sqrt(7056)*-2)/((sqrt(112) - 2*sqrt(112)*-6 - sqrt(112)) + 1*-1*sqrt(112) + sqrt(112)))**2. 252 Simplify 4*3*(5*(sqrt(128) - (sqrt(128) + ((sqrt(128) + -1)*2 - sqrt(128))))*-2)**2*4*-4. -2534400 + 614400*sqrt(2) Simplify (5*-4*sqrt(84) - (-3*(sqrt(84) + 2*sqrt(84)) - sqrt(84)))/(sqrt(12)*-4*-3 - 5*sqrt(300)). 10*sqrt(7)/13 Simplify ((5*-1*sqrt(96))/sqrt(4))/(sqrt(108)/((sqrt(270)/sqrt(6))/sqrt(5))) + 4. -5*sqrt(2) + 4 Simplify (3*(-5 + (4 + (sqrt(448) - (sqrt(448) + -1)))*-6 + 2) + -1 + -2)**2. 10404 Simplify (-1*(sqrt(50) - (sqrt(50) + sqrt(300)/sqrt(6)) - sqrt(50))/sqrt(5))/(sqrt(22)/(sqrt(22)/sqrt(2)) + (sqrt(242) - -2*sqrt(242)))*-5. -5*sqrt(5)/17 Simplify 5*(((sqrt(1053) + -1)*-2 + 4 + 1*sqrt(1053) - (-3 + (sqrt(1053) - (sqrt(1053) + 1 - sqrt(1053)))*3)) + -4)**2. -2880*sqrt(13) + 84560 Simplify (6*sqrt(3900)*2*5)/(sqrt(33)/(sqrt(11) + sqrt(66)/sqrt(6)) + sqrt(3) - sqrt(54)/sqrt(2)) + 0 + -1. -400*sqrt(13) - 1 Simplify (((sqrt(112)*2 - sqrt(112)) + sqrt(112))*3 + sqrt(112) - (sqrt(112)*1 + sqrt(112))*4)/((sqrt(176)/sqrt(4)*-5 + sqrt(44))/(sqrt(11)*2*3)). 3*sqrt(7) Simplify (4*(sqrt(28)/sqrt(2) + sqrt(14)) + sqrt(70)/sqrt(5)*4)/(-5*(sqrt(1008)*2 - sqrt(1008))*-5). sqrt(2)/25 Simplify 1 + 0 + -3 + ((6*(sqrt(192)*1 + sqrt(192)))/sqrt(12))/(-2*(sqrt(8) + 6*sqrt(8)*-1)). -2 + 6*sqrt(2)/5 Simplify -6*(-3*((0 + sqrt(208) + 3)*4*5 + 1))**2. -4693734 - 527040*sqrt(13) Simplify 2 + (5*(5 + sqrt(320)) + (sqrt(320) - (sqrt(320) - (sqrt(320) + -3 + 0))) + sqrt(320))**2 + -2. 2464*sqrt(5) + 16164 Simplify (0 + 1 + -1 + sqrt(325) + 1)**2 + -1*sqrt(13)*-6 + 1 + -1*(sqrt(13) + -1 + 5). 15*sqrt(13) + 323 Simplify 6*(3*(sqrt(468) - -2*sqrt(468)*3) + 2 + sqrt(468) + -1 + 0 + 2)**2. 4752*sqrt(13) + 1359126 Simplif
{ "pile_set_name": "DM Mathematics" }
91.8 Product of -0.1 and -78. 7.8 3*121 363 0.2*0.0645 0.0129 Multiply 3 and 53. 159 Product of -1519 and 0.13. -197.47 5 * 2523 12615 Product of -0.04 and -0.33. 0.0132 Multiply -0.134 and 0.4. -0.0536 -13.64*3 -40.92 What is 81 times -54? -4374 0.02879*0.3 0.008637 6349*-0.2 -1269.8 Product of -0.81 and 17. -13.77 Work out 0.3 * -75.3. -22.59 Multiply 0.4 and -0.035. -0.014 -214 * -26 5564 Calculate -29*0.1. -2.9 Multiply -5 and 9.3. -46.5 What is 20 times -0.18? -3.6 Product of -9789 and 0.3. -2936.7 Product of 2.3 and 3. 6.9 10.84 times 0.1 1.084 What is 763 times -5.6? -4272.8 What is -0.155 times 9? -1.395 Product of 2 and 4.8. 9.6 Product of 0.01 and 0.2. 0.002 Multiply -0.5 and -115. 57.5 What is -0.09904 times -4? 0.39616 Product of -0.1636 and -5. 0.818 Multiply -0.5 and -9.6. 4.8 Calculate 6*129. 774 Product of 3 and -0.035. -0.105 -0.4734 * -4 1.8936 -2.3*117 -269.1 Multiply -0.29 and 0.05. -0.0145 Product of 0.4 and -5. -2 -0.03 * -1.759 0.05277 Work out 103 * -0.11. -11.33 What is the product of 3 and -0.04068? -0.12204 What is 13 times 4? 52 What is the product of -4 and -25? 100 0.3*-0.048 -0.0144 Multiply 138 and -0.3. -41.4 -4372 times 0.1 -437.2 Work out 0.26 * 23. 5.98 What is the product of -9 and 0.19? -1.71 -17*-0.22 3.74 What is -2.09 times 1? -2.09 Product of -4 and -7.17. 28.68 Product of -0.0607 and 2. -0.1214 Work out -146.6 * -0.4. 58.64 What is 6 times -24? -144 Product of -0.182 and -8. 1.456 66 * -5 -330 What is the product of 0.2 and 60? 12 What is the product of 2.3187 and -5? -11.5935 Multiply 0.6 and -0.06. -0.036 What is the product of -0.1 and -24? 2.4 What is -7 times -551? 3857 -67*5 -335 -0.4 * 0.07 -0.028 What is the product of 1167 and -0.5? -583.5 What is -0.094 times -0.1? 0.0094 Product of -4 and -128. 512 11.08 * -3 -33.24 Calculate -0.22*-14. 3.08 Work out -1.6 * 502. -803.2 Work out -0.4 * 458. -183.2 What is the product of 0.2 and 63? 12.6 Calculate -67*0.5. -33.5 10.7 times -22 -235.4 Calculate 2*-49. -98 Multiply 109 and -0.14. -15.26 1 * 15 15 Product of 1.3 and -16. -20.8 134 times 1 134 1.072 * -1 -1.072 What is the product of 0.048 and 2? 0.096 5 times -0.5 -2.5 Calculate 0.028*0.4. 0.0112 Calculate 4*566. 2264 Multiply -22 and -26. 572 What is the product of 0.07 and 1112? 77.84 What is -135 times 14? -1890 Calculate -2*3318. -6636 What is 0.5 times -13.7? -6.85 Work out 5 * 5.8. 29 Multiply 0.01 and 0.1. 0.001 0.02327*0.3 0.006981 Product of 0 and 8. 0 216*-8 -1728 Calculate 4*0.02. 0.08 What is -115.05 times -0.1? 11.505 Product of 0 and 8. 0 Work out 32 * 4. 128 What is 0.09 times 8? 0.72 Multiply 0.75 and 2. 1.5 Multiply -37 and -10. 370 Calculate -3358*3. -10074 5 * 643 3215 What is -0.5 times 9? -4.5 10 * 3.8 38 What is the product of -0.08765 and 0? 0 Work out -3 * -1.83. 5.49 Multiply 50.8 and -0.1. -5.08 What is the product of -5 and -201? 1005 -0.242 times -0.4 0.0968 What is -0.1143 times -0.9? 0.10287 What is 1.9 times 0.02? 0.038 -0.04868 times 1 -0.04868 -24*8 -192 Multiply 6.06 and -4. -24.24 What is the product of -14.3 and -3? 42.9 Work out -48 * -3. 144 What is the product of 3 and -167? -501 -1.8 * -136 244.8 12*0.098 1.176 What is -432 times 25? -10800 Work out -0.05 * 316. -15.8 1533 * -0.1 -153.3 Calculate -0.08*-2.1. 0.168 What is 0.3 times -61.4? -18.42 0.4 times -4 -1.6 What is the product of -0.11 and 3? -0.33 -0.24 times -4.1 0.984 What is the product of -0.1 and 407? -40.7 What is the product of -728 and -0.4? 291.2 Product of 151 and 0.35. 52.85 Product of -0.2 and 0.29. -0.058 -0.6 * 0.033 -0.0198 -0.03 * -1.4 0.042 What is the product of 206 and -0.25? -51.5 Work out 0.0096 * 2. 0.0192 Calculate 9.93*-0.3. -2.979 Product of -0.09 and 14. -1.26 What is the product of 0 and -310? 0 Multiply 1446 and 0.5. 723 0.09*-19 -1.71 What is 467 times 0.32? 149.44 What is the product of -5812 and 0.4? -2324.8 Work out -0.36 * -43. 15.48 Calculate 0.1*-0.04. -0.004 -0.1171 times 0.02 -0.002342 What is the product of 132 and 8? 1056 -4886*-0.3 1465.8 -0.03 * 0.0485 -0.001455 Multiply -19.8 and -5. 99 What is the product of -3 and -8? 24 Calculate -4*-0.4. 1.6 -0.3 * -0.2806 0.08418 Multiply 1061 and 1. 1061 Work out 85 * -0.08. -6.8 Work out -0.8 * 1.1. -0.88 What is the product of 11636 and 4? 46544 17.16 * 2 34.32 7 * -0.0543 -0.3801 Calculate 2*-1.337. -2.674 Product of 1.1185 and -0.5. -0.55925 Multiply -1.5 and -1.39. 2.085 Product of 83.33 and 0.5. 41.665 Multiply -0.08 and 83. -6.64 Product of -0.2 and 2055. -411 -2 * -0.14 0.28 Multiply 0.1 and 289. 28.9 Calculate -4.5*7. -31.5 Calculate -16.72*-3. 50.16 -0.05 times 63 -3.15 -3*-1910 5730 Product of -28 and -0.4. 11.2 107.2 times 0.1 10.72 Calculate 3*-0.603. -1.809 Calculate -0.1*-45. 4.5 Product of -0.41 and -0.046. 0.01886 What is the product of 163 and 0.13? 21.19 -9.2*-31 285.2 -0.2 times 128 -25.6 11 times 8 88 -5.6*-15 84 Multiply 3 and -2028. -6084 What is the product of -322.5 and -0.04? 12.9 What is the product of 0.36 and -3.18? -1.1448 Calculate 370*-3.1. -1147 Calculate 0.076*0.53. 0.04028 -1088 * 0 0 Product of 9344 and 0.5. 4672 0.01 * -59 -0.59 Product of 2 and -1.99. -3.98 What is -129.4 times 0.01? -1.294 Calculate -1910*-2. 3820 -99*0.11 -10.89 What is the product of 0.6744 and -1? -0.6744 What is -30 times 0? 0 11.07 times -2 -22.14 Work out -119 * -0.08. 9.52 Calculate -0.088*-0.6. 0.0528 Product of -1 and -5.1. 5.1 Work out 0.2 * -0.0659. -0.01318 0.2 * 42 8.4 What is the product of -0.09 and -13? 1.17 -0.226*-0.7 0.1582 Work out 0.2 * 65.2. 13.04 Product of 2644 and -0.3. -793.2 Calculate 1.9*-7.4. -14.06 What is -5 times -3945? 19725 2 * -0.76 -1.52 5 * -0.1107 -0.5535 What is the product of 116.5 and -0.2? -23.3 -0.5 * 231.7 -115.85 1749*-5 -8745 What is 0.5 times 278? 139 -267 * -3 801 6 times 0.83 4.98 -229 times -0.2 45.8 -77 * -0.07 5.39 Product of 2 and 357. 714 Calculate 14871*2. 29742 Multiply 15 and -11. -165 Work out 0.3 * -81. -24.3 0.339 times 0.3 0.1017 What is the product of -0.096 and 3? -0.288 0.6*-0.0451 -0.02706 Multiply 0.1 and -0.0055. -0.00055 Multiply 37 and 0.5. 18.5 Multiply 0.6 and -35. -21 Product of 120.4 and 0.6. 72.24 Calculate -0.1*74. -7.4 What is the product of 0.6 and -0.094? -0.0564 What is 0.12 times -13.9? -1.668 Calculate 0.26241*0.4. 0.104964 -0.5 times -133 66.5 What is -0.87 times 0.7? -0.609 Product of 2 and -2.79. -5.58 28*-0.21 -5.88 4*707 2828 What is the product of -0.5 and -3.63? 1.815 Product of 96 and 0.14. 13.44 Product of -0.4 and -6.4. 2.56 What is the product of 13 and 341? 4433 427 times -0.4 -170.8 -0.537 * -0.3 0.1611 What is the product of -0.068 and 1.1? -0.0748 Calculate -0.09*-28. 2.52 What is 153.26 times 0.2? 30.652 -0.2 * 1995 -399 Multiply -7.1 and -144. 1022.4 -4 * -0.042 0.168 Work out 8 * -113. -904 Calculate 5*269. 1345 Calculate 0*-231.1. 0 Calculate -2.4*-23. 55.2 Multiply 3 and -0.11. -0.33 What is the product of -0.4 and 24? -9.6 What is the product of -0.2407 and 1? -0.2407 2465*0 0 What is 5 times 81? 405 Calculate -0.0576*3. -0.1728 What is the product of -1.415 and -0.3? 0.4245 Calculate -9.67*-0.4. 3.868 -15 * 11.5 -172.5 306.5 * -3 -919.5 -230*-4 920 What is the product of -27 and -516? 13932 Work out 4.1 * -10. -41 Calculate 0.9*0.049. 0.0441 0.248 * 0.5 0.124 Multiply 0.1 and 0.055. 0.0055 -24 times -0.05 1.2 51.4*0 0 Product of 0.04 and 1.899. 0.07596 Calculate 14*1.7. 23.8 What is -25 times -44? 1100 0 * 0.34 0 What is the product of 209 and 5? 1045 0.8 times 0.05 0.04 Work out 3 * -0.34. -1.02 Work out 16 * 0.62. 9.92 0.2*-0.94 -0.188 0.1*785 78.5 Calculate -0.05*-985. 49.25 Multiply 618 and -5. -3090 Product of 4480 and -0.3. -1344 Calculate -27.3*-4. 109.2 What is the product of -0.1 and -479? 47.9 0.16 * 100 16 What is 0.89 times 0.05? 0.0445 What is the product of -4093 and -5? 20465 Multiply 7185 and 0.3. 2155.5 Multiply 0.06 and -0.9. -0.054 Calculate -487*2. -974 -65.2 times 0.3 -19.56 Calculate 0.376*43. 16.168 What is the product of 0.42381 and -0.4? -0.169524 0.14 times -1 -0.14 What is the product of -0.5 and 288? -144 -0.7 * 0.024 -0.0168 What is 2 times -2979? -5958 125 * 0.1 12.5 Multiply 1.38 and -0.3. -0.414 Multiply 0.2 and -0.085. -0.017 Calculate -19.1*-4. 76.4 Calculate 4.7*4. 18.8 Wo
{ "pile_set_name": "DM Mathematics" }
2 + 212. Determine l(c(x)). 204*x - 4 Let d(v) = v**2. Let l(f) = 12*f**2 - 3. Let a(y) = 9*y**2 - 2. Let r(t) = 3*a(t) - 2*l(t). Give r(d(b)). 3*b**4 Let r(s) = 48313*s. Let f(j) = 20*j. Give f(r(n)). 966260*n Suppose 199 + 153 = 4*u. Suppose -n - 5*h = 3, -6 = 4*n - 5*n + 4*h. Let p(x) = -88 + u + x**n. Let t(s) = 3*s**2. What is t(p(g))? 3*g**4 Let u(c) be the first derivative of -4*c**3/3 - 117. Let r(o) be the third derivative of 11*o**4/24 + 3*o**2. Give r(u(l)). -44*l**2 Let r(u) = 2*u**2 - 1522*u + 3. Let b(a) = a. Give r(b(q)). 2*q**2 - 1522*q + 3 Let q(s) = -2*s**2. Let p(n) = 1349938*n + 6979. Let b(i) = -967*i - 5. Let c(r) = 6979*b(r) + 5*p(r). Determine c(q(j)). -1994*j**2 Let n = 30 - 27. Let d(f) = n*f - 8*f + 19*f + 5*f. Let i(l) = -2*l**2. Determine i(d(r)). -722*r**2 Let j(a) = -47*a**2 - 36. Let r(q) = -23*q**2 - 20. Let v(x) = -3*j(x) + 5*r(x). Let w(k) = -2*k. What is w(v(h))? -52*h**2 - 16 Suppose -6*b = -b - 10. Let j(r) = b*r + 5*r**2 - 2*r + 0*r. Let m(f) be the second derivative of -f**4/6 + 5*f + 9. What is j(m(k))? 20*k**4 Let u(k) = k. Suppose -30 = -7*p + 5*p. Suppose 0*j - 5*j + p = 0. Let r(o) = -3*o + 2*o + j*o. Determine r(u(q)). 2*q Let v(g) be the second derivative of 5*g + 0*g**2 - 1/6*g**3 + 0. Let t(m) = 3*m. What is t(v(o))? -3*o Let i(m) = -m**2 - m + 2. Let c(z) = 5*z**2 + 4*z - 8. Let u(f) = c(f) + 4*i(f). Let h(d) = 42*d**2. What is u(h(w))? 1764*w**4 Let h(c) = -13*c. Let m(q) be the first derivative of -14*q**2 + 339. What is m(h(u))? 364*u Let b(q) = 2*q**2 + 2*q + 2. Let r be b(-3). Let l(k) = -15 - r + 2*k**2 + 29. Let w(n) be the first derivative of -n**3/3 + 1. Determine w(l(v)). -4*v**4 Let r(u) = -6*u. Let o(g) = -g**2 + g. Let b(y) be the first derivative of -9 - 7/2*y**2 + 0*y + 2*y**3. Let c(t) = 3*b(t) + 21*o(t). Give c(r(k)). -108*k**2 Let a(u) = 1932*u. Let h(l) = 6*l. Determine h(a(x)). 11592*x Let r(a) = -a**2 - 9*a + 4. Let w be r(-9). Let h(k) = -w*k + 4*k - 23*k - 7*k. Let i(y) = y. Give h(i(z)). -30*z Let d(l) = -2*l - 38022. Let r(y) = 2*y**2. What is d(r(k))? -4*k**2 - 38022 Let q(k) = 14*k. Let d(l) = -3*l. Let h(c) = -20*c. Let s(x) = -39*d(x) + 6*h(x). Let v(i) = -7*i. Let y(o) = -5*s(o) + 2*v(o). Calculate y(q(u)). 14*u Let c(r) = 56*r + 1. Let d(u) = -3*u + 1127. Give c(d(o)). -168*o + 63113 Let q(r) be the first derivative of -23*r**2/2 - 1. Let p(y) = -96 + 2*y - 75 + 267 - 96. Give p(q(i)). -46*i Let y(q) be the first derivative of -q**4/12 + 2*q - 2. Let m(d) be the first derivative of y(d). Let g(f) = -56 - 2*f + 56. What is m(g(v))? -4*v**2 Let v(u) = -1925*u**2 - u - 1. Let p(z) = -3*z. What is p(v(c))? 5775*c**2 + 3*c + 3 Let u(k) = 2*k**2. Let w(g) be the second derivative of 12*g**4 + g**2 - 2*g - 50. What is w(u(m))? 576*m**4 + 2 Let n(s) = s. Let i(p) = -22725*p**2. What is i(n(b))? -22725*b**2 Let x(c) = -3*c**2 + c. Let w(h) = 21*h**2 - 6*h. Let f(b) = -w(b) - 6*x(b). Let a(n) = -52*n - 3. What is f(a(o))? -8112*o**2 - 936*o - 27 Let a(h) = 2645*h**2. Let g(s) = -43*s. Give a(g(y)). 4890605*y**2 Let o(p) = -8*p - 1. Let d(l) = -50*l**2 + 25*l**2 + 23*l**2. Give d(o(j)). -128*j**2 - 32*j - 2 Let r(q) = -1039549*q. Let v(w) = -5*w. Calculate v(r(p)). 5197745*p Let t(v) = 7641*v. Let u(c) = 59*c**2. Calculate t(u(o)). 450819*o**2 Let l(v) be the first derivative of -v**3 + 150. Let x(n) = 40*n - 1. Give l(x(g)). -4800*g**2 + 240*g - 3 Let j(a) = -a**3 - 3*a**2 - 3*a - 4. Let q be j(-3). Let z(n) = -n. Let d(w) = -4*w. Let c(u) = q*z(u) - d(u). Let p(l) = 11*l**2. Give p(c(b)). 11*b**2 Let a(w) = 3*w**2. Let n(f) = 1993801*f. Give a(n(t)). 11925727282803*t**2 Let y(f) = -f. Let w(d) = -14244*d. Calculate y(w(t)). 14244*t Let x(p) be the second derivative of -p**3/3 - 727*p. Let m(b) = 8*b**2 + 17*b**2 + 4*b**2. What is x(m(n))? -58*n**2 Let s(x) = 88*x**2. Let z(b) be the first derivative of -b**3/3 - 63. What is s(z(g))? 88*g**4 Let s(c) = -7*c**2. Let i(x) = -6*x - 2. Let v be i(-1). Let q(a) = -4*a**2 - a**2 + v*a**2 - 2*a**2. What is s(q(b))? -63*b**4 Let z(s) = 3*s. Let l(j) be the second derivative of -j**4/6 + 19*j**2/2 - 216*j + 1. What is l(z(r))? -18*r**2 + 19 Let n(h) = 2*h - 2*h - 3*h. Let m(d) be the second derivative of d**3/3 + 1634*d. What is n(m(a))? -6*a Suppose -3*p + 5 = 2. Let m(f) = 1 - p + 9*f. Let r(s) be the first derivative of s**2 + 664. Give r(m(d)). 18*d Let c(d) = -d**2 - 21*d - 30. Let p be c(-19). Let i(u) = 68*u - 8. Let v(m) = -45*m + 5. Let w(j) = p*v(j) + 5*i(j). Let h(o) = 2*o. What is w(h(g))? -40*g Let f(v) = -83196 - 150*v + 83196. Let s(a) = 3*a**2. Determine f(s(j)). -450*j**2 Let t(r) = 31*r - 93. Let m(c) = -c. Determine m(t(l)). -31*l + 93 Let d(c) be the first derivative of -c**3/3 + 2. Let h(z) be the second derivative of -1/3*z**4 + 0 + 0*z**2 + 0*z**3 + 7*z. Calculate h(d(g)). -4*g**4 Let g(s) be the first derivative of -30 + 0*s**2 + 0*s - 7/3*s**3. Let l(w) = -2*w**2. Give l(g(u)). -98*u**4 Suppose 0 = -0*w - 2*w + 3*q + 1403, 4*w = 5*q + 2807. Let a(o) = -w - 5*o + 703. Let r(c) = 3*c**2. Give a(r(y)). -15*y**2 Let c(w) = 346*w**2. Let m(y) = 5*y + 20. Calculate c(m(k)). 8650*k**2 + 69200*k + 138400 Let a(m) = 4014*m**2 - 8027*m**2 + 4015*m**2. Let k(l) = 5*l**2 - 4. Let j(s) = 36*s**2 - 27. Let d(f) = -4*j(f) + 27*k(f). What is d(a(n))? -36*n**4 Let q(v) be the first derivative of 14*v**3/3 - 130. Let y(s) = 7*s**2. Calculate y(q(w)). 1372*w**4 Let s(z) = 2917*z**2 + 315. Let g(t) = 2*t. Give g(s(d)). 5834*d**2 + 630 Let d(x) = -x. Let f(u) be the third derivative of -143*u**5/60 - 11*u**3/2 + 18*u**2. Let l(b) = 22*b**2 + 5. Let n(q) = 5*f(q) + 33*l(q). Calculate n(d(y)). 11*y**2 Let p(x) = 389*x**2. Let f(t) = -445*t + 1. What is f(p(g))? -173105*g**2 + 1 Let x(g) = 19*g - 13. Let j(q) = 2 + 14*q - 11*q - 6*q. Let l(u) = 39*j(u) + 6*x(u). Let w(f) be the third derivative of f**5/30 + 2*f**2. What is l(w(m))? -6*m**2 Let i(y) = 51392*y. Let a(s) = 3*s**2. Give i(a(x)). 154176*x**2 Let b(v) = v**2 - 2. Let s(c) = -2*c**2 + 3. Let n(o) = 3*b(o) + 2*s(o). Let l(d) = 30*d**2. Give l(n(x)). 30*x**4 Suppose -757*o + 769*o = 36. Let b(a) be the second derivative of -5*a + 0*a**2 + 1/12*a**4 + 0*a**o + 0. Let m(h) = 6*h**2. What is b(m(z))? 36*z**4 Let w(d) = -690*d**2. Let h(x) = -45*x**2. Determine h(w(t)). -21424500*t**4 Let j(m) be the second derivative of 5*m**3/6 - 445*m. Let n(g) be the first derivative of g**2 + 1. What is n(j(v))? 10*v Let v(d) = 8*d**2 - 4. Let f(n) = 15*n**2 - 10. Let t(z) = 2*f(z) - 5*v(z). Let r(b) = 0*b**2 - 3*b**2 - 32*b + 32*b. What is t(r(g))? -90*g**4 Let y(j) = -59*j**2 - 70*j**2 + 123*j**2. Let k(w) = 13*w**2. Give y(k(v)). -1014*v**4 Suppose -3*j + 0 = 4*u - 24, 0 = -2*j + 4*u - 4. Let a(z) be the third derivative of 0*z + 1/6*z**j - 5*z**2 + 0 + 0*z**3. Let d(n) = 3*n**2. What is d(a(y))? 48*y**2 Let p(b) = 4*b**2 + 3*b + 3. Let i(u) = -9*u**2 - 7*u - 7. Let c be (7/1)/(3/6*-1). Let h(k) = c*p(k) - 6*i(k). Let v(g) = -16*g. What is v(h(l))? 32*l**2 Let c(o) = -10416*o. Let p(v) = -7*v. Determine c(p(a)). 72912*a Let k(g) be the third derivative of g**5/30 - 116*g**2. Let p(d) be the third derivative of 11/60*d**5 - 3*d**2 + 0*d**4 + 0*d + 0 + 0*d**3. What is k(p(u))? 242*u**4 Let x(t) = 7*t + 63. Let r(c) = -508*c. Calculate x(r(q)). -3556*q + 63 Let y(h) = -84*h. Let d(v) = 5831*v**2. Determine d(y(m)). 41143536*m**2 Let z(j) be the second derivative of -j**3/2 - 3*j. Let g be (1*(-24)/20)/(4/(-50)). Let u(x) = -34 + 19 - x + g. Determine u(z(v)). 3*v Let c(n) be the third derivative of n**7/2520 - n**5/5 + 28*n**2. Let y(p) be the third derivative of c(p). Let h(u) = 48*u. Give h(y(l)). 96*l Let x(n) = 409*n**2 - 2*n - 401*n**2 + 2*n. Let b(f) = -7*f**2. Give b(x(c)). -448*c**4 Let j(a) = -a. Let f(m) = -757776*m**2. Give j(f(w)). 757776*w**2 Let j(n) = -11533*n. Let x(g) = 61*g**2 + 2. Give j(x(p)). -703513*p**2 - 23066 Let y(j) be the second derivative of -41*j**4/12 - 25*j. Let k(t) = -2*t. What is k(y(x))? 82*x**2 Let x(u) = 7*u**2 + 3*u**2 + 12*u**2 - 3*u**2. Let z(s) be the second derivative of s**4/3 + 98*s. What is x(z(r))? 304*r**4 Let t(f) = -2*f**2 + 19493053*f - 19493053*f. Let y(j) = -17*j - 5. Let z(k) = -16*k - 4. Let m(g) = 6*y(g) - 7*z(g). Give m(t(s)). -
{ "pile_set_name": "DM Mathematics" }
any minutes are there between 5:32 AM and 3:29 PM? 597 What is 12 minutes before 7:40 AM? 7:28 AM How many minutes are there between 12:12 AM and 4:03 AM? 231 What is 552 minutes before 8:52 AM? 11:40 PM How many minutes are there between 12:49 PM and 5:51 PM? 302 What is 292 minutes after 1:59 PM? 6:51 PM How many minutes are there between 12:11 PM and 1:11 PM? 60 What is 194 minutes after 6:26 PM? 9:40 PM How many minutes are there between 3:08 PM and 7:28 PM? 260 How many minutes are there between 11:48 AM and 2:05 PM? 137 How many minutes are there between 10:38 PM and 12:57 AM? 139 What is 681 minutes after 3:44 PM? 3:05 AM What is 491 minutes before 3:29 PM? 7:18 AM What is 420 minutes after 8:51 AM? 3:51 PM What is 41 minutes after 5:59 PM? 6:40 PM How many minutes are there between 11:47 PM and 8:37 AM? 530 What is 337 minutes before 9:24 AM? 3:47 AM How many minutes are there between 5:27 AM and 4:34 PM? 667 What is 353 minutes after 11:18 PM? 5:11 AM What is 59 minutes after 12:35 PM? 1:34 PM What is 144 minutes after 12:15 AM? 2:39 AM What is 627 minutes before 12:25 PM? 1:58 AM What is 609 minutes before 4:59 PM? 6:50 AM What is 152 minutes before 12:53 PM? 10:21 AM How many minutes are there between 10:47 PM and 11:46 PM? 59 What is 405 minutes after 12:40 PM? 7:25 PM How many minutes are there between 9:59 PM and 9:46 AM? 707 How many minutes are there between 2:09 PM and 6:06 PM? 237 What is 128 minutes after 2:33 AM? 4:41 AM How many minutes are there between 11:26 AM and 12:10 PM? 44 How many minutes are there between 9:05 PM and 10:08 PM? 63 What is 456 minutes before 3:13 AM? 7:37 PM How many minutes are there between 4:49 AM and 1:05 PM? 496 How many minutes are there between 12:38 AM and 1:29 AM? 51 What is 505 minutes before 3:15 PM? 6:50 AM How many minutes are there between 5:01 PM and 2:39 AM? 578 How many minutes are there between 7:51 AM and 1:09 PM? 318 How many minutes are there between 4:16 PM and 2:50 AM? 634 How many minutes are there between 6:05 PM and 10:05 PM? 240 How many minutes are there between 7:02 PM and 12:19 AM? 317 How many minutes are there between 1:44 PM and 9:36 PM? 472 What is 387 minutes after 7:22 PM? 1:49 AM How many minutes are there between 5:11 AM and 8:15 AM? 184 How many minutes are there between 10:58 AM and 7:00 PM? 482 How many minutes are there between 9:29 PM and 5:39 AM? 490 How many minutes are there between 12:41 AM and 7:21 AM? 400 What is 520 minutes after 3:29 PM? 12:09 AM How many minutes are there between 8:56 AM and 5:04 PM? 488 How many minutes are there between 5:45 AM and 12:12 PM? 387 How many minutes are there between 10:33 AM and 6:09 PM? 456 How many minutes are there between 2:22 PM and 8:33 PM? 371 How many minutes are there between 8:15 PM and 8:02 AM? 707 What is 251 minutes before 8:18 AM? 4:07 AM What is 634 minutes after 1:40 PM? 12:14 AM How many minutes are there between 2:44 AM and 3:53 AM? 69 What is 304 minutes before 4:08 AM? 11:04 PM How many minutes are there between 2:56 PM and 2:39 AM? 703 What is 609 minutes after 4:23 AM? 2:32 PM What is 207 minutes after 7:10 PM? 10:37 PM What is 101 minutes after 3:29 AM? 5:10 AM What is 488 minutes after 5:48 PM? 1:56 AM How many minutes are there between 2:08 AM and 2:07 PM? 719 How many minutes are there between 5:24 PM and 3:49 AM? 625 How many minutes are there between 5:54 PM and 8:09 PM? 135 How many minutes are there between 5:43 PM and 12:51 AM? 428 How many minutes are there between 10:52 PM and 12:34 AM? 102 How many minutes are there between 11:23 AM and 7:28 PM? 485 How many minutes are there between 7:09 AM and 11:23 AM? 254 What is 416 minutes after 3:42 AM? 10:38 AM How many minutes are there between 11:47 PM and 4:49 AM? 302 How many minutes are there between 2:10 PM and 11:54 PM? 584 What is 310 minutes before 11:26 PM? 6:16 PM What is 374 minutes after 9:40 AM? 3:54 PM What is 525 minutes after 3:50 AM? 12:35 PM How many minutes are there between 2:06 AM and 3:47 AM? 101 How many minutes are there between 2:43 AM and 9:08 AM? 385 How many minutes are there between 7:31 PM and 8:23 PM? 52 What is 546 minutes after 3:47 AM? 12:53 PM What is 525 minutes after 9:55 PM? 6:40 AM How many minutes are there between 12:29 AM and 12:18 PM? 709 What is 71 minutes before 10:28 AM? 9:17 AM How many minutes are there between 8:54 PM and 1:58 AM? 304 What is 292 minutes before 1:29 AM? 8:37 PM What is 623 minutes before 4:19 AM? 5:56 PM What is 342 minutes after 9:14 PM? 2:56 AM How many minutes are there between 2:16 PM and 4:11 PM? 115 How many minutes are there between 8:23 PM and 4:16 AM? 473 What is 237 minutes after 7:53 PM? 11:50 PM How many minutes are there between 5:03 AM and 3:55 PM? 652 What is 270 minutes before 9:59 PM? 5:29 PM How many minutes are there between 1:24 PM and 10:48 PM? 564 How many minutes are there between 11:11 AM and 3:15 PM? 244 What is 149 minutes after 3:59 PM? 6:28 PM What is 251 minutes after 8:23 AM? 12:34 PM How many minutes are there between 7:50 AM and 1:11 PM? 321 How many minutes are there between 1:16 PM and 7:47 PM? 391 How many minutes are there between 11:58 AM and 6:40 PM? 402 What is 207 minutes after 7:42 AM? 11:09 AM What is 468 minutes before 10:33 AM? 2:45 AM What is 373 minutes before 8:09 PM? 1:56 PM How many minutes are there between 4:11 AM and 12:38 PM? 507 How many minutes are there between 4:25 PM and 3:54 AM? 689 How many minutes are there between 4:26 PM and 12:34 AM? 488 What is 279 minutes after 9:01 PM? 1:40 AM How many minutes are there between 3:19 PM and 8:36 PM? 317 How many minutes are there between 12:15 AM and 7:58 AM? 463 How many minutes are there between 8:52 AM and 4:28 PM? 456 How many minutes are there between 10:23 AM and 10:48 AM? 25 How many minutes are there between 9:30 AM and 8:01 PM? 631 What is 231 minutes after 12:20 PM? 4:11 PM How many minutes are there between 12:13 PM and 8:35 PM? 502 What is 634 minutes after 4:13 AM? 2:47 PM How many minutes are there between 9:29 AM and 2:12 PM? 283 What is 583 minutes after 9:29 PM? 7:12 AM How many minutes are there between 7:35 AM and 10:58 AM? 203 How many minutes are there between 10:51 AM and 2:08 PM? 197 What is 609 minutes after 1:42 PM? 11:51 PM What is 20 minutes before 8:42 PM? 8:22 PM What is 367 minutes after 11:53 AM? 6:00 PM How many minutes are there between 10:13 AM and 8:36 PM? 623 What is 126 minutes after 9:56 PM? 12:02 AM How many minutes are there between 12:25 AM and 2:33 AM? 128 How many minutes are there between 9:06 PM and 1:09 AM? 243 What is 194 minutes after 4:21 PM? 7:35 PM What is 481 minutes before 7:00 AM? 10:59 PM How many minutes are there between 2:37 PM and 4:19 PM? 102 How many minutes are there between 4:18 PM and 6:35 PM? 137 How many minutes are there between 12:46 PM and 6:03 PM? 317 What is 623 minutes before 5:13 AM? 6:50 PM How many minutes are there between 3:56 AM and 10:08 AM? 372 How many minutes are there between 10:19 AM and 10:23 AM? 4 How many minutes are there between 3:48 PM and 9:43 PM? 355 What is 320 minutes before 8:02 PM? 2:42 PM How many minutes are there between 10:13 AM and 3:26 PM? 313 What is 539 minutes after 12:50 PM? 9:49 PM How many minutes are there between 5:23 AM and 2:39 PM? 556 What is 535 minutes after 12:57 AM? 9:52 AM How many minutes are there between 10:01 PM and 12:17 AM? 136 What is 207 minutes before 12:18 AM? 8:51 PM What is 387 minutes after 8:14 PM? 2:41 AM How many minutes are there between 1:05 PM and 8:39 PM? 454 How many minutes are there between 8:00 AM and 2:07 PM? 367 How many minutes are there between 12:57 AM and 12:42 PM? 705 What is 103 minutes after 8:52 AM? 10:35 AM How many minutes are there between 2:38 PM and 12:24 AM? 586 What is 203 minutes after 4:35 AM? 7:58 AM What is 42 minutes before 11:05 PM? 10:23 PM What is 662 minutes before 11:06 AM? 12:04 AM How many minutes are there between 7:07 PM and 12:12 AM? 305 How many minutes are there between 12:36 AM and 12:40 AM? 4 What is 480 minutes after 11:57 AM? 7:57 PM How many minutes are there between 4:06 AM and 8:21 AM? 255 How many minutes are there between 7:32 AM and 5:50 PM? 618 What is 127 minutes after 4:16 AM? 6:23 AM Wh
{ "pile_set_name": "DM Mathematics" }
*(d + 1) Let s be (-2 + 24/15)*-1. Suppose -a + 50 = 46. Determine x, given that 0*x - s*x**3 + a*x**4 + 0 - 4/5*x**2 = 0. -2/5, 0, 1/2 Suppose -r + 0 + 1/3*r**2 = 0. What is r? 0, 3 Let s(r) be the third derivative of 1/90*r**5 - 1/315*r**7 + 0*r**3 + 4*r**2 + 0*r - 1/36*r**4 + 1/180*r**6 + 0. Suppose s(m) = 0. Calculate m. -1, 0, 1 Factor -1/4 - 1/4*h**3 + 1/4*h**2 + 1/4*h. -(h - 1)**2*(h + 1)/4 Let u(c) be the first derivative of c**4/6 - c**3/3 + 2*c - 2. Let o(r) be the first derivative of u(r). Find m, given that o(m) = 0. 0, 1 Let j = 3/1016 + 44677/9144. Let o = -38/9 + j. Factor 2/3*d**2 - 2/9*d + 0 + 2/9*d**4 - o*d**3. 2*d*(d - 1)**3/9 Factor 0 - 1/3*h**2 - 1/3*h. -h*(h + 1)/3 Let q = 27/10 + -8/3. Let x(u) be the second derivative of -1/5*u**2 + q*u**4 + u + 0*u**3 + 0. Find w such that x(w) = 0. -1, 1 Let n(x) be the third derivative of x**6/30 + x**5/15 + 2*x**2. Solve n(w) = 0 for w. -1, 0 Let s(r) = r**2 + 1. Let g(q) = 16*q**2 - 32*q + 56. Let b(l) = g(l) - 20*s(l). Solve b(n) = 0 for n. -9, 1 Let h be ((-4)/30)/((-7)/35). Factor 2/3*k**3 + h + 8/3*k**2 - 1/3*k**5 - 2/3*k**4 + 7/3*k. -(k - 2)*(k + 1)**4/3 Let l(k) be the first derivative of -k**3/3 + k + 5. Factor l(y). -(y - 1)*(y + 1) Let q(v) be the second derivative of -3/2*v**2 - 2*v**3 - 1/10*v**6 - 3/5*v**5 - 3/2*v**4 + 3*v + 0. Factor q(f). -3*(f + 1)**4 Let i = 7981/585 - 646/45. Let x = -3/65 - i. Factor -x*t**3 + 0*t + 1/3*t**4 + 1/3*t**2 + 0. t**2*(t - 1)**2/3 Let b(i) = -4*i**3 - 9*i**2 - 4*i + 4. Let d(v) = 21*v**3 + 46*v**2 + 20*v - 20. Let s(l) = -11*b(l) - 2*d(l). Find z, given that s(z) = 0. -2, 1/2 Let f(n) = -n + 5 - 5 + 0 - n**3. Let o(u) = 8*u**3 - u**2 + 6*u + 1. Let r(s) = -14*f(s) - 2*o(s). Factor r(y). -2*(y - 1)**2*(y + 1) Let o(g) be the second derivative of g**6/40 - 3*g**5/20 + 3*g**4/16 + g**3/2 - 3*g**2/2 + 5*g. Factor o(d). 3*(d - 2)**2*(d - 1)*(d + 1)/4 Let g(u) be the first derivative of u**4/28 - u**3/21 - 13. Factor g(f). f**2*(f - 1)/7 Suppose -2*a + 9 = a. Let c be a/(-1 + (-2)/(-1)). Let 1/3*l**4 + 1/3*l**2 + 0*l + 2/3*l**c + 0 = 0. Calculate l. -1, 0 Let d = 14 - 8. Let v(l) = -4*l**3 - 2*l - 1. Let z be v(-1). Factor 0*c**5 + 4*c**3 + 4*c**z - 2*c**5 - d*c**4 + 0*c**5. 2*c**3*(c - 2)*(c - 1) Suppose -6 = 2*m - 2. Let a be ((-14)/m - -1)/2. Factor -2*n**4 - a*n**3 + 0*n**4 + 0*n**4. -2*n**3*(n + 2) Let l(m) be the third derivative of m**6/360 - m**5/180 - m**4/72 - m**3/2 - m**2. Let u(x) be the first derivative of l(x). Find g such that u(g) = 0. -1/3, 1 Suppose 15 - 15*a - 6*a + 3*a + 5*a**2 - 2*a = 0. Calculate a. 1, 3 Solve 21*c - 2 - 17*c - c**2 - 1 = 0 for c. 1, 3 Let v(y) be the first derivative of 4*y**3/3 + 2*y**2 - 24*y + 72. Factor v(o). 4*(o - 2)*(o + 3) Let w(u) be the third derivative of 0 - 5/48*u**4 + 1/224*u**8 + 1/24*u**6 + 0*u + 0*u**5 + 1/6*u**3 - 1/42*u**7 - u**2. Solve w(g) = 0. -2/3, 1 Let l(m) = -m + 2. Let z be l(-9). Let k(c) = -c + 13. Let y be k(z). Find u such that 4*u**4 - 18*u**5 - 6*u + 4 - 8*u**y + 28*u**3 + 4*u**5 - 8*u = 0. -1, 2/7, 1 Let v(d) be the third derivative of -d**6/30 + 3*d**5/5 - 4*d**4 + 32*d**3/3 - 11*d**2. Factor v(s). -4*(s - 4)**2*(s - 1) Let y(x) = -8*x**3 + 10*x**2 - 2*x. Let m(v) = -v**3 + v**2. Suppose 7 = -5*l + 2. Let f(j) = l*y(j) + 6*m(j). Factor f(r). 2*r*(r - 1)**2 Let x be 4/(-3) - -1 - 55/(-132). Let y(a) be the third derivative of 2*a**2 + x*a**4 + 0*a + 0 + 0*a**3 - 1/15*a**5 + 1/60*a**6. What is r in y(r) = 0? 0, 1 Factor -520*x**4 + 343*x + 31*x**2 - 11*x**2 + 2704*x**5 - 339*x - 183*x**3. x*(4*x - 1)**2*(13*x + 2)**2 Let z(x) = -7*x**4 + 15*x**3 - 8*x**2 - 2*x + 2. Let g(p) = -85*p**4 + 180*p**3 - 95*p**2 - 25*p + 25. Let u(b) = 2*g(b) - 25*z(b). Factor u(c). 5*c**2*(c - 2)*(c - 1) Let o = -331 + 333. Factor -2/3*r**3 + 0 - 2/3*r**o + 4/3*r. -2*r*(r - 1)*(r + 2)/3 Let 2/3*y**2 - y + 1/3 = 0. What is y? 1/2, 1 Let z(g) be the third derivative of 1/72*g**6 + 0 - 1/72*g**4 + 0*g + 0*g**3 - 2*g**2 - 1/45*g**5. Suppose z(w) = 0. What is w? -1/5, 0, 1 Suppose -2*u + 16 = 4*q, 3*q = 4*u - 1 - 9. Let g(j) be the second derivative of 3*j - 1/3*j**u + 0*j**2 + 0 - 4/15*j**6 + 7/10*j**5 - 1/3*j**3. Factor g(v). -2*v*(v - 1)**2*(4*v + 1) Let n(y) = y**3 + 13*y**2 + 11*y - 9. Let q be n(-12). Solve -3 + 15*l - 12*l**2 - 2 - 1 + 3*l**q = 0 for l. 1, 2 Let h(a) = 3*a - 12. Let g be h(4). Let y(b) be the second derivative of -1/12*b**4 + g - 1/20*b**5 - 2*b + 1/2*b**2 + 1/6*b**3. Factor y(v). -(v - 1)*(v + 1)**2 Let t(y) be the third derivative of 0*y**3 - 1/1008*y**8 + 0*y + 1/120*y**6 - 1/90*y**5 + 0*y**4 + 2*y**2 + 0 + 0*y**7. Suppose t(w) = 0. Calculate w. -2, 0, 1 Let q(l) be the first derivative of 7/10*l**4 + 2/25*l**5 + 4*l**2 + 5 + 12/5*l**3 + 16/5*l. Factor q(w). 2*(w + 1)*(w + 2)**3/5 Let n = -121/3 + 41. What is k in n*k**2 - 2/3*k + 0 = 0? 0, 1 Let l(h) be the first derivative of 0*h**3 + 5 + 1/5*h**5 - h - h**2 + 1/2*h**4. Factor l(p). (p - 1)*(p + 1)**3 Let i(t) = -t**3 + 2*t**2 + 4*t - 6. Let s be i(2). Suppose 0 + 0*j - 1/6*j**s = 0. What is j? 0 Suppose -3 = 7*v - 10*v. Let w be 4 + (68/(-24) - v). Factor -w*f**2 - 1/3*f - 1/6. -(f + 1)**2/6 Suppose m + 41 = 4*z, -m - m - 5 = -z. Suppose 4*t - z = -a, -40 = -5*t + 2*a + 2*a. Factor r**2 + 2*r**2 - 14*r**5 + r**2 - 6*r**3 - 24*r**t. -2*r**2*(r + 1)**2*(7*r - 2) Let t(z) be the second derivative of z**5/4 + 5*z**4/3 + 25*z**3/6 + 5*z**2 - 6*z. Determine d so that t(d) = 0. -2, -1 Let k(i) = i**5 - 9*i**4 + 10*i**3 - 2*i**2 + 11*i. Let g(w) = -w**4 + w**3 + w. Let n(m) = -22*g(m) + 2*k(m). Determine u, given that n(u) = 0. -2, -1, 0, 1 Suppose -29*i = -24*i. Determine d so that 0 + i*d - 4/7*d**2 + 6/7*d**3 - 2/7*d**4 = 0. 0, 1, 2 Let b(j) = -3*j**2 + 9*j**2 - 7 - 7*j - j**3 - 2*j**2 + 2*j**3. Let n be b(-5). Factor -2/3*v - 5/3*v**2 - 3*v**4 + 0 + 16/3*v**n. -v*(v - 1)**2*(9*v + 2)/3 Let w(i) be the first derivative of i**5/5 + 3*i**4/4 + i**3/3 - 3*i**2/2 - 2*i + 1. Factor w(l). (l - 1)*(l + 1)**2*(l + 2) Let o(q) = 5*q**3 - 13*q**2 + 2*q + 2. Let u(k) = -6*k**3 + 12*k**2 - 3*k - 3. Let i(l) = 3*o(l) + 2*u(l). Factor i(b). 3*b**2*(b - 5) Let y be (-6)/54*6/(-4). Let r(i) be the second derivative of y*i**4 + 2/3*i**3 + 0*i**2 + 0 - 2*i. Suppose r(u) = 0. What is u? -2, 0 Let w(y) = -y + 1. Let l(o) = -3*o + 1. Let g(z) = 2*l(z) - 5*w(z). Let b be g(-8). Determine c so that 0*c - 4*c**2 + 9*c**4 - 3*c**3 - b*c**2 + 3*c = 0. -1, 0, 1/3, 1 Let a = 96/287 - 2/41. Factor 2/7 + 4/7*k + a*k**2. 2*(k + 1)**2/7 Let j(i) be the third derivative of -i**8/20160 + i**7/5040 + i**5/15 + 3*i**2. Let q(c) be the third derivative of j(c). Solve q(r) = 0. 0, 1 Let f(i) = i**4 - i + 1. Let m(o) = 2*o**4 + 12*o**3 - 12*o**2 - 5*o + 5. Let r(b) = -5*f(b) + m(b). Factor r(k). -3*k**2*(k - 2)**2 Let d(t) = -t**5 - t**4 - t**2. Let v(a) = 3*a**5 - 2*a**3 + 10*a**2 - 7*a + 2. Let u(j) = -2*d(j) - v(j). Factor u(s). -(s - 1)**4*(s + 2) Let a be 2/3 - (-8)/(-12). Let j be a + -1 + -1 + 2. What is k in 2/9*k**2 + j + 0*k + 2/9*k**3 = 0? -1, 0 Let o(n) be the third derivative of -n**6/160 + n**5/80 + n**4/32 - n**3/8 + 4*n**2. Factor o(w). -3*(w - 1)**2*(w + 1)/4 Suppose 1054*i + 2*i**5 - 1054*i - 2*i**3 = 0. What is i? -1, 0, 1 Let u(h) = h**3 + 6*h**2 - 8*h - 5. Let m be u(-7). Suppose 4 + b**3 + 2*b**2 - 5*b - 3*b**m - 8 + 1 = 0. Calculate b. -1, 3 Let i(m) be the first derivative of m**8/336 - 4*m**7/315 + 7*m**6/360 - m**5/90 + m**2 - 2. Let y(z) be the second derivative of i(z). Factor y(b). b**2*(b - 1)**2*(3*b - 2)/3 Let l(a) be the first derivative of -a**3 - 3*a**2/2 + 18*a + 36. Factor l(c). -3*(c - 2)*(c + 3) Factor -5*o**3 - 6*o**5 - 155*o**3 + 51*o**5 + 75*o**4 + 60*o**2. 5*o**2*(o + 3)*(3*o - 2)**2 Suppose 0 = 4*x - 3*i - 6, 5*i + 10 = -4*x + 3*x. Factor 0 + x*g - 1/3*g**4 - g**2 - 4/3*g**3. -g**2*(g + 1)*(g + 3)/3 Let i(a) be the third derivative of -7*a**5/20 + 3*a**4/4 + 13*a**3/2 + 3*a**2. Let b(n) = 6*n**2 - 5*n - 11. Let h(k) = 18*b(k) + 5*i(k). Factor h(y). 3*(y - 1)*(y + 1) What is h in -10*h**3 + 0*h - 34*h**4 + 16*h**2 + 18*h**4 + 4*h + 6*h**3 = 0? -1, -1/4, 0, 1 Let z = -14 + 16. Solve -3*x**2 - z*x**2 + 5*x**2 + x + x**2 = 0 for x. -1, 0 Factor 0 + 0*j - 3/4*j**3 - 1/2*j**2. -j**2*(3*j + 2)/4 Let i(j) be the first de
{ "pile_set_name": "DM Mathematics" }