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-5*d(v) + 4*i(v). 3*v**3 + 252*v**2 - v Let b(z) = -3*z**3 + z**2 + 3*z - 5. Let h(w) = 92*w**3 - 5 + 9*w + 3*w**2 - 20*w**3 - 80*w**3 - 9. What is 11*b(p) - 4*h(p)? -p**3 - p**2 - 3*p + 1 Let z(i) = 62*i - 624. Let m(j) = -41*j + 438. Determine 7*m(x) + 5*z(x). 23*x - 54 Let z(q) = -445*q - 84. Let t(r) = 334*r + 65. What is -9*t(a) - 7*z(a)? 109*a + 3 Let o(w) = 2*w - 2. Suppose 17735 = 10*y + 17695. Suppose -4 = -5*m + q, -2*q = -4*m - 0*m + 2. Let a(x) = -m - 3*x + 0*x + 4. Determine y*o(h) + 3*a(h). -h + 1 Let a = 26477 - 26476. Let k(v) be the third derivative of -v**4/24 + v**3/6 + v**2. Let u(x) = -3*x + 5. Determine a*u(m) - 6*k(m). 3*m - 1 Let x(l) = 2*l - 3. Let k = -26 + 33. Let d(o) be the second derivative of o**3/6 - o**2/2 + 348*o. Give k*d(t) - 2*x(t). 3*t - 1 Let d(j) = -45*j + 141. Let b(i) = -22*i + 73. Calculate 5*b(y) - 2*d(y). -20*y + 83 Let f be -3 - 26/(-8) - 35/(-20). Suppose f*q = -q + 6. Let j(s) = 2 + 3*s**q + 5*s**2 - 10*s**2 + 3*s**2. Let p(w) = w**2 + 1. Give 5*j(g) - 8*p(g). -3*g**2 + 2 Let h(s) be the second derivative of -s**3/3 + s. Suppose 3*f - 3975 = 2*z - 3980, -4*z + 3*f + 1 = 0. Let n(a) = -3*a**2 - 10*a. Determine z*n(i) + 10*h(i). 6*i**2 Let p(i) = -6*i. Let k(f) = 6*f. Suppose -48*d - 33*d - 324 = 0. Calculate d*p(u) - 3*k(u). 6*u Let o(j) = -692*j + 14. Let b(q) = -3*q - 12. Calculate -b(k) - o(k). 695*k - 2 Let j(i) = 11*i**3 + 2954*i**2 - 15*i + 3. Let q(c) = 162*c**3 + 44310*c**2 - 220*c + 44. Give 44*j(v) - 3*q(v). -2*v**3 - 2954*v**2 Let t be -9 + (-6 - -13 - -5). Let v(k) = k**3 + 3*k + 1. Let j(l) = 2*l**3 + 5*l + 2. Suppose 0 = -p + 110 - 115. Give p*v(q) + t*j(q). q**3 + 1 Suppose 4*g - 12 = -4*d, -5*d + 0*d + 5 = -5*g. Let n(p) = d + 50*p - 82*p + 34*p. Let c(u) = 5*u + 7. What is -2*c(x) + 7*n(x)? 4*x Let h(x) = -102*x. Let r(t) = 29*t + 1. Calculate 6*h(m) + 21*r(m). -3*m + 21 Let j(x) be the third derivative of -x**6/8 + x**4/8 + 3*x**2. Let l(n) = -7*n**3 + n. Let g = 15973 - 15964. Determine g*l(o) - 4*j(o). -3*o**3 - 3*o Let d(o) be the second derivative of -o**3/6 - o**2/2 - 27*o + 18. Let i(j) = 28*j + 42. Give 42*d(b) + i(b). -14*b Let y(g) = 4*g**3 + g**2 + 1. Let r(v) = -351*v**2 + 2 - v**3 - 3 + 88*v**2 + 262*v**2. Suppose -n + s = 0, -3*s = -2*n + 5*n + 18. Determine n*r(j) - 3*y(j). -9*j**3 Let t(h) = 35*h + 4. Let k(m) = 6*m**2 + 23*m + 21. Let w be k(-1). Let b(f) = 420*f + 49. What is w*b(d) - 49*t(d)? -35*d Let j(r) = 84*r**2 - 5*r + 12. Let f(g) = 85*g**2 - 4*g + 16. Give 3*f(c) - 4*j(c). -81*c**2 + 8*c Let d be ((-2)/6)/(2/(-15)) - 2103/(-1402). Let p(j) = j**3 - 6*j**2 + 4. Let b(x) = -2*x**3 + 11*x**2 - 7. Determine d*b(a) + 7*p(a). -a**3 + 2*a**2 Let u(m) be the third derivative of 220*m**4/3 - 2*m**2 - 4*m - 167. Let b(p) = -69*p. Give -128*b(t) - 5*u(t). 32*t Let h(n) = -1 + 5*n + 1 - 1. Let m(x) = 14*x - 2. Suppose 4*s + 528 = -4*a, -5*a = -5*s - 4*a - 654. Let i = -128 - s. Calculate i*m(r) - 8*h(r). 2*r + 2 Let m(g) = 27 + 16*g - 74 + 23 + 26. Let w(k) = k**2 - 18*k + 59. Let j be w(4). Let z(d) = -8*d - 1. What is j*m(p) + 7*z(p)? -8*p - 1 Let l(j) = -4*j - 4. Suppose 14*n = -101 + 31. Let c(k) = -2*k - 7. Let r be c(-5). Let q(z) = z - 68 + r*z + 71 - z. Determine n*l(m) - 7*q(m). -m - 1 Let i(o) = -9*o + 5. Let u = 8 - 13. Let p(w) = 1. Suppose s + 12*k = 15*k - 50, 4*k = 5*s + 63. Determine s*i(t) + u*p(t). -9*t Let j(s) = -3*s - 24. Let u(y) = -1. Let d = -16727 + 16745. Give d*u(g) - j(g). 3*g + 6 Let d(j) = -77441*j**3 - 1365*j**2 + 910*j. Let n(w) = -1019*w**3 - 18*w**2 + 12*w. What is 6*d(q) - 455*n(q)? -1001*q**3 Suppose 2842*m - 2851*m = -36. Let s(i) = 6*i**3 - 5*i + 34. Let z(w) = -5*w**3 + 4*w - 35. Determine m*s(a) + 5*z(a). -a**3 - 39 Let l = -16 - -10. Let u(c) = 18*c**2 + 26. Let o(z) = -12*z**2 + 5*z - 1. Let t(g) = -34*g**2 + 15*g. Let a(j) = -3*o(j) + t(j). Give l*u(m) + 52*a(m). -4*m**2 Let y(p) = 35*p - 21. Let s be 30/(-8) - (-581)/332. Let c(i) = -7*i + 4. Determine s*y(j) - 11*c(j). 7*j - 2 Suppose -110*v = -115*v + 10. Let f(s) = -s**2 - 8*s**2 + 1 + 14*s**v + 3*s**2 - 7*s**2. Let w(m) = -6*m**2 + 2*m - 6. Determine -4*f(g) - w(g). 2*g**2 - 2*g + 2 Let v(b) = -b + 1. Let k(y) = 3688*y - 1844. Give k(f) + 1844*v(f). 1844*f Let c(x) = 6149*x + 4. Let b(a) = -44740206*a - 29105. What is 4*b(u) + 29105*c(u)? 5821*u Let k(p) = p**3 + 2*p**2 + p. Let a be (-32)/(-6) - ((-136)/(-12) + -10). Let o(f) = f**3 + f**2 + f. Let q be 1/(3 + (-21)/6). Calculate a*o(r) + q*k(r). 2*r**3 + 2*r Let p(j) = 4 - 8 + 7 - 2. Let x(m) = 3*m**2 - 51. What is -306*p(r) - 6*x(r)? -18*r**2 Let o(m) = 5*m**2 + 8*m + 3. Let y(h) = h**2 + 3*h + 3. Determine -o(u) + 3*y(u). -2*u**2 + u + 6 Let c(k) = -10*k**3 - 3*k**2 + 4*k - 28. Let r(s) = 8*s**3 + 4*s**2 - 6*s + 29. What is -3*c(p) - 2*r(p)? 14*p**3 + p**2 + 26 Let z(m) = -4*m + 2. Suppose -2*c - 34 = -5*r - 4, 4*r + c = 24. Let j(d) = -d + 1. Give r*z(u) - 12*j(u). -12*u Let g(t) = 18*t + 7. Let i be -1*(2 + -1) + 7. Let n(j) = -17*j - 6. Suppose 0 = -4*w + 4*q + 36, 5*w + 23*q - 31 = 21*q. Determine i*g(z) + w*n(z). -11*z Let r(a) = 10*a**2 - 3. Let m(w) be the second derivative of -3*w**4/4 + w**2 + 3300*w. What is 5*m(d) + 4*r(d)? -5*d**2 - 2 Let n be -1*8/(4 + -8). Suppose 11 = n*v - 7. Let f(x) = -3 + 14*x - v*x - 10*x + 5. Let m(i) = -11*i + 5. Give 5*f(u) - 2*m(u). -3*u Let v(i) = -43*i**3 - 9*i**2 + 34*i + 13. Let p(a) = 20*a**3 + 4*a**2 - 17*a - 6. Give -13*p(f) - 6*v(f). -2*f**3 + 2*f**2 + 17*f Let x(z) = 2*z + 4. Let y(j) = j + 1. Let n(m) = m**2 + 13*m - 12. Let k be n(-15). Suppose -3*l + k = 12. What is l*x(c) - 6*y(c)? -2*c + 2 Let w(t) = 13457*t - 5. Let b(q) = -3351*q + 1. Give -9*b(m) - 2*w(m). 3245*m + 1 Let i(n) = -12*n**2 + 15*n - 19. Let l(r) = r - 9. Give 2*i(s) - 4*l(s). -24*s**2 + 26*s - 2 Suppose -22 - 18 = 5*w. Let u(v) = 4*v**3 - 3*v**2 + 3*v - 3. Let f be (-94)/(-987) + 488/168. Let q(o) = 12*o**3 - 8*o**2 + 8*o - 8. Determine f*q(b) + w*u(b). 4*b**3 Let z be (-22)/209 + 568/(-19). Let j be (1 + 0 - -2)*40/z. Let v(k) = 4*k**2 - 6*k + 7. Let w(c) = -5*c - 3*c**2 - 6 + 4*c + 6*c. Give j*v(r) - 5*w(r). -r**2 - r + 2 Let k(v) = 2*v**2 - 3*v + 2. Let g(r) = r**2 - r - 1. Suppose 11*j = -3*j + 14. Determine j*k(w) - 3*g(w). -w**2 + 5 Let g = 17 + -15. Suppose 4*w - 2*w - 5*n = 8, 4*n + 10 = -g*w. Let d(a) = a - 6. Let h(m) = -m + 1. Give w*d(i) - 2*h(i). i + 4 Let p(j) = 2233*j. Let m(c) = 1112*c. Calculate 5*m(h) - 3*p(h). -1139*h Let m(q) = 2027338*q**2 + 6*q**3 + 6*q**3 - 2027330*q**2. Let v(c) = -25*c**2 - 16*c**3 - 18*c**3 - c**3 + 2*c**2. What is 17*m(u) + 6*v(u)? -6*u**3 - 2*u**2 Let g(y) be the second derivative of -2*y**3/3 - 3*y**2/2 - 2898*y. Let q(j) = -j**2 + 7*j + 7. What is -7*g(c) - 3*q(c)? 3*c**2 + 7*c Let b(x) = -x - 1. Let c(k) = 49*k + 42. Let u be -4 + -25 + -92 + 79. Let d = 0 - 1. Determine d*c(f) + u*b(f). -7*f Let q(o) = -93*o**2 - 11*o + 13. Let n(t) = -t**2 - 2*t + 4. Determine 5*n(r) - q(r). 88*r**2 + r + 7 Let a be 4/14*2*7. Suppose 9*i = -50 - a. Let o be ((-20)/i)/(23/(-69)). Let x(c) = -4*c**3 + 5*c**2 + 5. Let l(q) = q**3 - q**2 - 1. What is o*l(z) - 2*x(z)? -2*z**3 Let f(i) = -83754*i**2 + 54*i - 27. Let g(x) = -15227*x**2 + 10*x - 5. Give 5*f(u) - 27*g(u). -7641*u**2 Let x(n) = -n**3 - n**2 - n + 1. Suppose 5*l + 24*d - 26 = 25*d, -3*l - 5*d - 18 = 0. Let h(z) = -7*z**3 - 4*z**2 - 5*z + 10. What is l*x(a) - h(a)? 3*a**3 + a - 6 Suppose 551*w + 19 = 537*w + 5. Let a(o) = -5*o**3 - 2*o**2 - 10*o - 5. Let k(l) = l**3 + l**2 + l + 1. What is w*a(x) - 6*k(x)? -x**3 - 4*x**2 + 4*x - 1 Let r(l) = -l**2 + 1. Suppose u + 47*f - 13 = 49*f, 4*u = f + 10. Let t(y) = 7*y**2 - 2. Give u*t(i) + 5*r(i). 2*i**2 + 3 Let z(q) = -q + 1. Let a(t) be the first derivative of 5*t**2/2 + 29*t - 4194. What is a(f) + 6*z(f)? -f + 35 Let v(m) = 34*m**2 - 68*m - 11. Let f(h) = -30*h**2 + 67*h + 10. What is -9*f(n) - 8*v(n)? -2*n**2 - 59*n - 2 Let y(d) = 7*d**2 - 5 + 10*d + 3*d**2 - 5. Let m(f) = 2*f**2 + 2*f - 2. Let z be 2*(-1458)/324*1/(-9) - 3. Determine z*y(n) + 11*m(n). 2*n**2 + 2*n - 2 Let l(r) = -r**2 - 1479*r - 14. Let p(i) = -i**2 - 1480*i - 12. Determine 8*l(q) - 9*p(q). q**2 + 1488*q - 4 Let x(j) = 3*j**3 + 25*j**2 - 61*j - 386. Let d be x(-9). Let h(w) = w. Let r(z)
{ "pile_set_name": "DM Mathematics" }
Calculate prob of sequence dd when two letters picked without replacement from ddydy. 3/10 What is prob of sequence px when two letters picked without replacement from {x: 3, p: 6, y: 4}? 3/26 Three letters picked without replacement from {a: 3, i: 2, j: 1, n: 6, g: 5}. What is prob of sequence igi? 1/408 Three letters picked without replacement from {z: 1, c: 9, r: 5, n: 3}. What is prob of sequence crn? 15/544 Two letters picked without replacement from uurrc. What is prob of sequence uu? 1/10 Three letters picked without replacement from iijciciicc. Give prob of sequence ccj. 1/60 Calculate prob of sequence zq when two letters picked without replacement from bzkqc. 1/20 Three letters picked without replacement from mmmfjmjmfj. What is prob of sequence jjj? 1/120 Four letters picked without replacement from ssaaasaasaasaaaa. What is prob of sequence aasa? 165/1456 What is prob of sequence ll when two letters picked without replacement from qwqwwwqqwslqqlwqqw? 1/153 Calculate prob of sequence yfk when three letters picked without replacement from fdyffddfkd. 1/180 Three letters picked without replacement from jwjjjwwewe. What is prob of sequence wwj? 1/15 Calculate prob of sequence xxv when three letters picked without replacement from xvvxxxxxxxx. 8/55 Calculate prob of sequence bb when two letters picked without replacement from jjbbjjbjjb. 2/15 Two letters picked without replacement from eoooxooexeoeo. What is prob of sequence oe? 7/39 Calculate prob of sequence ch when two letters picked without replacement from hichehephhhpecphhh. 1/17 What is prob of sequence vk when two letters picked without replacement from llkjv? 1/20 What is prob of sequence leff when four letters picked without replacement from xfbbbffbefebxl? 1/1001 Calculate prob of sequence nj when two letters picked without replacement from {j: 1, f: 5, l: 4, s: 3, n: 1}. 1/182 Four letters picked without replacement from whwwwwwhjjhwhwxwwww. Give prob of sequence xwjw. 11/3876 What is prob of sequence rctt when four letters picked without replacement from pctttrrt? 1/70 Calculate prob of sequence ggu when three letters picked without replacement from ggu. 1/3 What is prob of sequence ii when two letters picked without replacement from {i: 3, u: 5}? 3/28 Three letters picked without replacement from zzzzwwwwzzzzzzzw. Give prob of sequence wwz. 11/168 Three letters picked without replacement from {q: 4, h: 1, x: 9}. Give prob of sequence xqq. 9/182 Calculate prob of sequence fk when two letters picked without replacement from {h: 2, f: 1, k: 12, y: 1, e: 3}. 2/57 Calculate prob of sequence qww when three letters picked without replacement from iqquwuquwqgguqqq. 1/240 Four letters picked without replacement from {c: 6, s: 5, w: 7, t: 1}. Give prob of sequence ccwt. 35/15504 Three letters picked without replacement from ekbkwqqeqwqqqjq. Give prob of sequence kww. 2/1365 What is prob of sequence br when two letters picked without replacement from {x: 1, b: 2, y: 1, r: 4, f: 1}? 1/9 Two letters picked without replacement from zvfv. Give prob of sequence vv. 1/6 Calculate prob of sequence hf when two letters picked without replacement from gkfouhkfgugkufu. 1/70 Calculate prob of sequence jzjk when four letters picked without replacement from jrjzkda. 1/420 Two letters picked without replacement from {a: 9, h: 1, y: 1, g: 4}. What is prob of sequence ah? 3/70 What is prob of sequence ge when two letters picked without replacement from {e: 2, g: 1, w: 4, q: 5, f: 4}? 1/120 What is prob of sequence vvv when three letters picked without replacement from {j: 6, v: 13}? 286/969 Three letters picked without replacement from {q: 2, t: 2, d: 1, a: 1, f: 1, r: 1}. What is prob of sequence atf? 1/168 Two letters picked without replacement from {e: 3, c: 1}. Give prob of sequence ee. 1/2 Four letters picked without replacement from odododufdookdouddok. Give prob of sequence uddf. 7/7752 What is prob of sequence il when two letters picked without replacement from {i: 3, r: 1, l: 12}? 3/20 Three letters picked without replacement from {s: 1, b: 1, o: 1, k: 2}. Give prob of sequence kbk. 1/30 Calculate prob of sequence slsh when four letters picked without replacement from {b: 1, c: 2, s: 3, q: 1, h: 1, l: 3}. 1/440 Calculate prob of sequence ps when two letters picked without replacement from irpzops. 1/21 Two letters picked without replacement from {s: 4, z: 7, e: 4}. Give prob of sequence sz. 2/15 Calculate prob of sequence joq when three letters picked without replacement from jjooqqjjjjojojjj. 1/42 Three letters picked without replacement from {v: 2, a: 7}. Give prob of sequence vaa. 1/6 Calculate prob of sequence pvp when three letters picked without replacement from {b: 1, a: 1, v: 1, p: 2}. 1/30 What is prob of sequence zf when two letters picked without replacement from {t: 2, v: 10, f: 2, z: 1, j: 1, a: 3}? 1/171 What is prob of sequence mkg when three letters picked without replacement from gkokmkg? 1/35 Calculate prob of sequence iw when two letters picked without replacement from iiiw. 1/4 Three letters picked without replacement from {m: 1, j: 1, r: 1, i: 1, s: 2, a: 2}. Give prob of sequence jsi. 1/168 What is prob of sequence fwo when three letters picked without replacement from {g: 3, q: 2, w: 4, f: 1, o: 1}? 2/495 Three letters picked without replacement from {z: 1, g: 1, s: 6, a: 3, y: 1}. What is prob of sequence zgs? 1/220 What is prob of sequence eflz when four letters picked without replacement from eelfz? 1/60 Calculate prob of sequence ttdd when four letters picked without replacement from {t: 4, d: 7, z: 3}. 3/143 Four letters picked without replacement from {u: 1, k: 3, q: 3, a: 4, f: 2, g: 2}. Give prob of sequence aggu. 1/4095 Calculate prob of sequence zdzd when four letters picked without replacement from {z: 8, d: 2}. 1/45 Two letters picked without replacement from {g: 4, l: 14}. What is prob of sequence ll? 91/153 Calculate prob of sequence hhhb when four letters picked without replacement from hbhhhbhbhhhhhhhhbbb. 143/1292 What is prob of sequence fw when two letters picked without replacement from {w: 1, f: 2}? 1/3 Three letters picked without replacement from {g: 12, a: 1, x: 6}. What is prob of sequence xgx? 20/323 What is prob of sequence nnee when four letters picked without replacement from {e: 14, n: 4}? 91/3060 Three letters picked without replacement from uocdkdqoq. What is prob of sequence koo? 1/252 Four letters picked without replacement from iiuwuuisuuiiuiiiiuu. What is prob of sequence wuii? 2/323 Three letters picked without replacement from xkckc. Give prob of sequence kkx. 1/30 Calculate prob of sequence wh when two letters picked without replacement from mwwmhwhhw. 1/6 Two letters picked without replacement from {k: 2, m: 11}. What is prob of sequence kk? 1/78 Three letters picked without replacement from mvmmmvvmmm. Give prob of sequence vvv. 1/120 Four letters picked without replacement from kvnoozzzvvnvnkvvz. Give prob of sequence nonz. 1/1190 Three letters picked without replacement from {k: 3, f: 9}. Give prob of sequence kfk. 9/220 What is prob of sequence clck when four letters picked without replacement from {y: 6, l: 2, f: 1, c: 3, k: 3}? 1/910 Four letters picked without replacement from {m: 3, h: 7}. Give prob of sequence mmmh. 1/120 Three letters picked without replacement from {d: 3, b: 2, a: 4, x: 1, s: 1, f: 4}. Give prob of sequence asx. 2/1365 Three letters picked without replacement from wwwwwwwwwwqqw. Give prob of sequence wqq. 1/78 What is prob of sequence yayy when four letters picked without replacement from {a: 1, y: 1, i: 6, f: 8, g: 2}? 0 Calculate prob of sequence hhiy when four letters picked without replacement from {h: 5, i: 1, y: 5}. 5/396 What is prob of sequence rwwr when four letters picked without replacement from {w: 5, r: 9}? 60/1001 What is prob of sequence gg when two letters picked without replacement from {g: 8, i: 2}? 28/45 Two letters picked without replacement from {w: 2, d: 1, h: 3, q: 3, s: 5, f: 1}. What is prob of sequence qf? 1/70 What is prob of sequence hhmh when four letters picked without replacement from hhmh? 1/4 Three letters picked without replacement from rrrdjddrdd. Give prob of seq
{ "pile_set_name": "DM Mathematics" }
r a. 6 Solve 2*j - 16 = -2*s, -4*s = -j - 15 + 8 for s. 3 Solve 1 = -y + 2*o, -47*y - o = -51*y + 10 for y. 3 Solve 0 = -4*d + 3*g - 11, 2876*d + 3*g - 18 = 2873*d for d. 1 Solve 2*w - 5*h - 3*h - 10 = -10*h, 0 = w - 5*h + 31 for w. -1 Solve 2*y + 6*g = 2*g + 18, 0 = 4*y + g - 8 for y. 1 Solve 0 = -5*b - 40, -55 + 38 = -5*w - b for w. 5 Solve -4*r + 4*f = -16, -4*f - 4 = 2*r - 0 for r. 2 Solve 0 = 52*c - 48*c + 5*a + 27, -2*a - 22 = -4*c for c. 2 Solve -5*k - 2 = -2*x - 21, 3*x + k + 3 = 0 for x. -2 Solve -5 = -2*c + 1710*d - 1715*d + 24, 5*d - 21 = 2*c for c. 2 Solve -416 = 3*c - 4*g - 389, -22 = 28*c + g for c. -1 Solve d = -4*y, 7*y - 6*y - 5*d - 21 = 0 for y. 1 Solve -8757*m + 8760*m + r = 7, -r = -m - 3 for m. 1 Solve 38 = 3*v - 5*b, 2*b = 3*v - 37652 + 37635 for v. 1 Solve -29 = 75*j - 48*j + l, 4*j = 5*l + 6 for j. -1 Solve 3 = -3*n - i, -5*n - 123 = -0*i - 18*i for n. -3 Solve 12*y + 2 = 8*y - 2*f, -2*y - 5*f + 3 = 0 for y. -1 Solve n + 4*q = 0, 4*n = 10*q + 8*q + q for n. 0 Solve f + 14 = 3*w, -99 + 80 = 2*w + 5*f for w. 3 Solve 5*v = o + 5, -3255*v + 3257*v = 5*o + 25 for v. 0 Solve 341389*c - 341392*c - 4 = j, -4*c = 3*j + 2 for c. -2 Solve -31 = -3*y - l, -9*y - 38 + 133 = 5*l for y. 10 Solve -46*r + 41*r - 5*n - 5 = 0, 2*n + 30 = 5*r for r. 4 Solve 0 = -5*o, o = 5*i - 10*i - 40 for i. -8 Solve 4*t - t - z + 14 = 0, 38*t - 11*t + 6*z = -186 for t. -6 Solve -45 = -d - 42, 1 = -4*n + 3*d for n. 2 Solve 16*b = 12*b + 20, 5*x - 45 = -4*b for x. 5 Solve -3*o + m = -14, 1234*m = 5*o + 1236*m + 6 for o. 2 Solve -4*b = -h - 17, h - 193 + 96 + 98 = 0 for b. 4 Solve -4*x - 64*o + 16 = -60*o, 0 = 2*x - o + 10 for x. -2 Solve 42*c - 40*c = -2*d + 4, 0 = d + 11*c - 2 for d. 2 Solve -5*t - 3*i = 6, 3573*i + 8 = -3*t + 3569*i for t. 0 Solve 13*g = 6*m + 8*g + 32, 5*g - 18 = 4*m for m. -7 Solve 4 = 2*d + 4*n - 34, -8 = -n for d. 3 Solve -b - 7 = -x, 18*x - 20*x + 4*b + 20 = 0 for x. 4 Solve -2*x - 2 = 6, 22 = 37*z - 38*z - 3*x for z. -10 Solve -5*i = -2*g + 107, -115 = -52*i + 57*i for g. -4 Solve -5129*o - 5*p + 53 = -5131*o, 5*o = p - 75 for o. -14 Solve 0 = -d + 4*t + 28, -4*d + 4794 = -5*t + 4704 for d. 20 Solve 6 = 4*z + h, 463*z - 461*z + h - 2 = 0 for z. 2 Solve 5*i - 5*t = 40, -3*i - 25*t = -26*t - 30 for i. 11 Solve -36 = 2*c + 3*t, 48 = -14*c + 18*c - 4*t for c. 0 Solve -2*x - x - 3*v - 432 = -450, -5*v = -5*x for x. 3 Solve 43*w + 374 + 210 = 5*n, 47 = -4*w - n for w. -13 Solve r = 2*h - 9, -5*h - 5*r + 113 = 128 for h. 2 Solve -27*j - 3*c - 16 = -29*j, 0 = -5*j + 4*c + 33 for j. 5 Solve -2*d - 17*d = -5*x - 96, -2*d = 4*x + 8 for x. -4 Solve -4*f + 42 = -2*o, -3*f = 2*o + 9 + 12 for o. -15 Solve 0 = -5*a + 1033*c - 1029*c - 42, -c = 10*a + 102 for a. -10 Solve -3*d - 9 = -2*m, 13*d - 4*m + 6 = 19*d for d. -1 Solve 3*j + 804*i - 20 = 806*i, 2*j = i + 12 for j. 4 Solve g - 21 = -7*v + 42, 2*g = -2*v + 18 for g. 0 Solve 4*g = 9882 - 9870, -v + 5*g - 14 = 0 for v. 1 Solve -4*p - 5*h = -1, -5*h + 90 = -3*p + 47 for p. -6 Solve -5*v = f - 7 - 64, 10*v - 59 = 5*v - 4*f for v. 15 Solve -c - 5*i + 750 = 751, -2*c = -5*i - 13 for c. 4 Solve -d + 84 = -131*v + 134*v, 4*d - 140 = -5*v for d. 0 Solve 3*k - 3*f - 21 = 0, 19 = 5*k - 3*f + 2*f for k. 3 Solve 3*g + 4*y + y + 5 = 0, -10 = 2*g + 5*y for g. 5 Solve n + 546*i = 550*i - 8, 10 = 6*n + 5*i for n. 0 Solve -4*a = 6*m + 58, 4*a + 48 = -10*m + 6*m for m. -5 Solve j - 46*x = -41*x + 3, 2*x = 5*j + 54 for j. -12 Solve 502 = 5*o + 4*i + 421, 3*o - 60 = -3*i for o. 1 Solve 10*q + 62 = 2*s, q = -4*s + 141 - 101 for s. 11 Solve 0 = 6*z + p - 25, p + p = 4*z - 14 for z. 4 Solve -2*d + 5*h + 7 = 0, 6*d - 7*d - 3*h = 2 for d. 1 Solve 2*i = -273299*b + 273301*b + 56, -b = i - 36 for b. 4 Solve -g = -2*z + 2, 2*g + 4 = 4*z - 6*z for g. -2 Solve 4*n - 4*w - 12 = 0, 248 - 264 = -4*w for n. 7 Solve -2*x = -2*i + 6, 0 = 9*x + 3*i - 256 + 295 for x. -4 Solve 4*f = -12, -10698*w - 27 = -10708*w - f for w. 3 Solve 0 = -854*f + 855*f + b - 5, 0 = f - b - 5 for f. 5 Solve 2*w + 20*x = 21*x, -2*w - 2*x = -0*w for w. 0 Solve 4*x - 10 = -3*q, -2*x - 1106*q + 1102*q = 0 for x. 4 Solve 4*g + 4*b + 16 = 0, -5*g - 20 = -75*b + 78*b for g. -4 Solve -3*z + l + 1374 = 1381, -14*z + 2*l - 30 = -2*l for z. -1 Solve 3*g + 4*i = -10, -6*i + 49 - 27 = 5*g + 40 for g. -6 Solve -4*i = 3*j - 5, 0 = -4*j + 2*i - 7 - 23 for j. -5 Solve 16 = 5*f + w, 4 = 3*f - w - 12 for f. 4 Solve 4*q - 4*w = -47 + 59, -3*w = -12*q + 27 for q. 2 Solve 4*t = 5*k + 16, 20*k + 6 = 21*k - 10*t for k. -4 Solve 10 = -2*d + 5*w, 5*d + 15*w - 6 = 12*w for d. 0 Solve -h + c + 15 = 23, 5*h + 5*c = -0*c for h. -4 Solve 2*x = m + 8233 - 8235, 0 = -4*x + m for x. 1 Solve -2*r + r + 5*h = 35, 5*r - 4*h = -49 for r. -5 Solve i = g + 2, 0 = -3*g - 45*i + 42*i + 12 for g. 1 Solve -3384*k = j - 3380*k + 11, j - 5*k = 7 for j. -3 Solve 4*r = 40, 5*n + 419*r = 416*r + 25 for n. -1 Solve -342*g - 4 = -341*g - 2*m, -2*m + 12 = -5*g for g. -2 Solve -2*q + 3*c = 7, 62 = -2*q + 10*c + 4*c for q. 4 Solve 21 = m + 4*z, m - 105*z - 12 = -100*z for m. 17 Solve 4*s = -3*w + 48, 9*w - 48 = 6*w - 5*s for w. 16 Solve 91*i - 96*i + 13 = 2*z, 4*z = -5*i + 21 for i. 1 Solve -4*i + 126 - 124 = 2*s, -s = i - 1 for s. 1 Solve k - 12 = -3*r, -9*k - 3 = -8*k for r. 5 Solve 2*b = -5*g - 29, 16*g + 3 = 8*g + 3*b for g. -3 Solve -4*n + 2*l = 10, -8 = 9*n - 13*n - 16*l for n. -2 Solve t - 54 = -71*g + 65*g, 0 = -4*t + 2*g - 18 for t. 0 Solve -3*y + y = -4, -4*t - 2278*y + 2280*y = 24 for t. -5 Solve 705 = 3*k + 681, 4*q - 32 = -3*k for q. 2 Solve -z = 11*p + 98, 54*p + 29 = 2*z + 51*p for z. 1 Solve 0 = 5*v - 2*t + 818 - 833, -2*v + 2*t + 18 = 0 for v. -1 Solve 0 = 3*r + 3*n, 2*r - 10*n + 6 = -14*n for r. 3 Solve -5*y - 4*p - 30 = 0, 0 = 4*y - 5*p - 104 + 87 for y. -2 Solve -24*i + 20*i - 2*c = -4, -4*c = -3*i + 25 for i. 3 Solve 51 = -3*c - 2*m, -707 + 900 = -c - 8*m for c. -1 Solve 2*i = 126*r - 125*r - 10, -2*i = -3*r + 6 for i. -6 Solve -2*s + 4*s - 2*l = -6, 4*l = -3*s + 12 for s. 0 Solve 0 = -4*c - 3*q + 18, 4*c + 74*q - 79*q - 2 = 0 for c. 3 Solve -20 = m + 3*l, 2*l + 55 = -4*m - 5*l for m. -5 Solve -4*g - 2217 = -2*c - 2205, -6*g = 2*c + 28 for c. -2 Solve 669*h - 17 = 4*m + 674*h, 3*h - 9 = 4*m for m. -3 Solve 3984 = 5*c - 18*v + 3613, 4*c - 5*v = 90 for c. -5 Solve 14*i + 71 = 3*n - 2*i, -n + 2*i + 7 = 0 for n. -3 Solve -2 = 3*n - 2, 59*g = 61*g + 9*n + 12 for g. -6 Solve -2*u + 4*g = 6, -5*g - 2 = -u - 8 for u. -1 Solve 0 = 5*q - 5, -2*o + 63 = 2*q + 83 for o. -11 Solve g + 113*j - 118*j - 19 = 0, 0 = 3*g + 2*j + 11 for g. -1 Solve 2*c = -4*l + 12, 3*l + 20 - 29 = 5*c for c. 0 Solve -7*q - 5*x = -16, 4*q = -5*x + 13 - 6 for q. 3 Solve -q + 4*v = -1, 0 = 2*q + 52*v - 56*v - 6 for q. 5 Solve -3*h + 29 = -3*n - h, 2*n = 2*h - 22 for n. -7 Solve -37968*s = -3*j - 37973*s - 59, -16 = 2*j + s for j. -3 Solve -4391*q = -4394*q + 5*k + 12, 4*k - 20 = -5*q for q. 4 Solve r + 28 = -3*n + 57, 0 = -4*r + 4*n - 12 for r. 5 Solve -2*g = -4*o + 8, 0 = -2*g + 1401*o - 1398*o - 8 for g. -4 Solve -3*v + 5*i = -17, 7379*i - 7381*i - 22 = -5*v for v. 4 Solve 267*z + 3*y + 19 = 272*z, -3*y - 7 = z for z. 2 Solve 46*o - 1 = 3*f + 51*o, -o - 17 = -5*f for f. 3 Solve 48 = 9*o + 3*i, -o - 5*i = 9284 - 9294 for o. 5 Solve -101*a + 99*a = k, 5*k = -3*a - 7 for k. -2 Solve -3*y = -2*o - 60, -5*o + y = -118155 + 118188 for o. -3 Solve 0 = 5*g + o - 82, -1241*g - 43 = -1243*g + 3*o for g. 17 Solve 2*r + 38 - 40 = -2*y, 3*r + 3 = -2*y for y. 6 Solve 42*v + 13 = 3*z + 38*v, 2*v = -2 for z. 3 Solve -27*j + 2*k = 22*j - 46*j - 8, -2*j - k = 4 for j. 0 Solve -4196*v + 4 = 4*m - 4198*v, -3*v + 29 = m for m. 5 Solve 346*r = 4*x + 345*r - 10, -3*x + 6*r = -144 for x. -4 Solve 5*u + 31 = -10738*p + 10741*p, 4*u = -7*p - 6 for u. -5 Solve 4*h + 12 = -2*l, -1144 = 3*h - 5*l - 1109 for h. -5 Solve -4*r - 90 + 117 = -5*n, 5*n + 12 = -r for n. -3 Solve -353*v = -355*v - 5*j - 10, 4*j = -8 for v. 0 Solve -3*s - 57 = -3*b, 3*b + 110 - 151 = 2*s for s. -16 Solve o + 0*o + 14 = 4*t, 2*t - 2 - 6 = 0 for o. 2 Solve 0 = 184*r - 185*r + 2*b + 7, -2*r + 8 = -b for r. 3 Solve -16 = -3*n + 4*q, -7*q + 84 = -2*n - 11*q + 68 for n. 0 Solve 0 = -3*i - 2352*x + 2350*x + 11, -5*i = 5*x - 15 for i. 5 Solve 993*m - 997*m - 2*r = -26, 2*m + 3
{ "pile_set_name": "DM Mathematics" }
lacement from {h: 1, z: 1, i: 1}. Give prob of sequence ih. 1/6 Two letters picked without replacement from klnliiiilnhln. What is prob of sequence hi? 1/39 Four letters picked without replacement from {a: 1, l: 1, k: 4, w: 3, y: 1, b: 4}. Give prob of sequence lawb. 1/2002 Three letters picked without replacement from afacfaalffacajf. Give prob of sequence fff. 2/91 Calculate prob of sequence nn when two letters picked without replacement from {n: 9, w: 1, j: 2, g: 2}. 36/91 Four letters picked without replacement from hhhhhhhgg. Give prob of sequence ghhg. 1/36 Four letters picked without replacement from tptyxyyyyxyyypp. What is prob of sequence tyyy? 4/195 Calculate prob of sequence ruur when four letters picked without replacement from {v: 7, r: 2, u: 2}. 1/1980 Three letters picked without replacement from {g: 10, t: 2}. What is prob of sequence ggg? 6/11 Calculate prob of sequence wo when two letters picked without replacement from {w: 4, o: 2}. 4/15 Three letters picked without replacement from fdfdf. Give prob of sequence fff. 1/10 Calculate prob of sequence dn when two letters picked without replacement from {l: 2, n: 2, d: 1, a: 1}. 1/15 What is prob of sequence odg when three letters picked without replacement from {d: 2, z: 4, g: 1, o: 12}? 4/969 What is prob of sequence fug when three letters picked without replacement from fefug? 1/30 What is prob of sequence oq when two letters picked without replacement from {q: 2, o: 4, e: 6}? 2/33 Four letters picked without replacement from {s: 5, d: 2}. What is prob of sequence dsss? 1/7 Calculate prob of sequence jnww when four letters picked without replacement from {w: 4, j: 10, n: 5}. 25/3876 Three letters picked without replacement from {w: 1, t: 1, y: 2, c: 1, p: 1, u: 1}. Give prob of sequence tpu. 1/210 Two letters picked without replacement from opcc. What is prob of sequence po? 1/12 Two letters picked without replacement from {k: 1, j: 3, o: 1}. Give prob of sequence ok. 1/20 Two letters picked without replacement from haj. What is prob of sequence ah? 1/6 Four letters picked without replacement from {o: 7, l: 8, d: 2, j: 1}. Give prob of sequence djlo. 7/4590 Calculate prob of sequence fffl when four letters picked without replacement from flfflfffllfl. 35/396 Two letters picked without replacement from {h: 4, m: 4, y: 2, e: 1, u: 6}. Give prob of sequence hu. 3/34 What is prob of sequence hxa when three letters picked without replacement from {m: 4, h: 1, a: 2, t: 2, e: 4, x: 1}? 1/1092 Three letters picked without replacement from {a: 2, n: 4, q: 1}. Give prob of sequence qna. 4/105 Three letters picked without replacement from {w: 2, q: 8, t: 4, h: 3}. What is prob of sequence qwq? 7/255 Three letters picked without replacement from zssggszlgz. What is prob of sequence lgz? 1/80 Three letters picked without replacement from {c: 4, f: 5, d: 1}. What is prob of sequence dcf? 1/36 Three letters picked without replacement from {q: 7, w: 2, n: 1, x: 4}. What is prob of sequence wqq? 1/26 Four letters picked without replacement from {i: 7, l: 7, q: 3, y: 2}. Give prob of sequence liyi. 49/7752 Calculate prob of sequence xx when two letters picked without replacement from exxeoqexexqeeqxe. 1/12 Three letters picked without replacement from ttuttbttttt. Give prob of sequence utb. 1/110 Two letters picked without replacement from {j: 4, n: 15}. Give prob of sequence nn. 35/57 Calculate prob of sequence jjss when four letters picked without replacement from {x: 1, s: 3, a: 6, j: 3, h: 2}. 1/910 Two letters picked without replacement from {t: 2, b: 10}. Give prob of sequence tt. 1/66 Three letters picked without replacement from yyyyxyyyxyyxyxyyyxy. Give prob of sequence xxx. 10/969 Three letters picked without replacement from {y: 1, m: 19}. Give prob of sequence mmy. 1/20 Four letters picked without replacement from nvcccvnncncvcbb. Give prob of sequence nnbb. 1/1365 Three letters picked without replacement from bcfudcufodof. Give prob of sequence uoo. 1/330 What is prob of sequence io when two letters picked without replacement from oiiooioo? 15/56 Four letters picked without replacement from balllnzaaboobanlbaz. What is prob of sequence onla? 5/5814 Three letters picked without replacement from {c: 1, t: 1, j: 3, r: 7, a: 1}. Give prob of sequence ajr. 7/572 What is prob of sequence jja when three letters picked without replacement from jyjjjaay? 1/14 What is prob of sequence wo when two letters picked without replacement from {t: 1, o: 1, w: 2}? 1/6 Calculate prob of sequence xneq when four letters picked without replacement from qqqxqaqxqxnaxexexq. 7/6120 Three letters picked without replacement from {e: 1, p: 2, b: 2, x: 1, l: 1}. What is prob of sequence bxb? 1/105 Two letters picked without replacement from zizizzciqzcdziizz. Give prob of sequence qd. 1/272 Four letters picked without replacement from {i: 5, q: 1, w: 3}. Give prob of sequence iwiw. 5/126 Three letters picked without replacement from urrauarrrdr. What is prob of sequence rra? 2/33 Calculate prob of sequence jg when two letters picked without replacement from iibjggbbkggigsjbgijs. 9/190 Two letters picked without replacement from llvl. What is prob of sequence lv? 1/4 Four letters picked without replacement from ldddddldddddddlddl. Give prob of sequence dldd. 91/765 Four letters picked without replacement from wmmmwmwmmmmmmmmmmww. Give prob of sequence wwmw. 35/3876 Three letters picked without replacement from vbrqkrwkqqk. What is prob of sequence rrb? 1/495 Calculate prob of sequence rff when three letters picked without replacement from {a: 1, f: 8, r: 1, k: 2, z: 6}. 7/612 What is prob of sequence px when two letters picked without replacement from eekkepxxpxxexeeke? 5/136 Calculate prob of sequence ben when three letters picked without replacement from ecneeebbcccnceb. 1/91 What is prob of sequence sqn when three letters picked without replacement from nsnqcs? 1/30 Calculate prob of sequence dvh when three letters picked without replacement from {d: 1, i: 1, e: 2, p: 1, h: 2, v: 1}. 1/168 Calculate prob of sequence zva when three letters picked without replacement from {v: 1, a: 1, y: 1, z: 2}. 1/30 Calculate prob of sequence dk when two letters picked without replacement from kngddngndnkd. 2/33 What is prob of sequence qia when three letters picked without replacement from qiitqaxxixiqxtxxxtx? 2/969 What is prob of sequence yooy when four letters picked without replacement from ooyoyoooooooo? 1/78 Four letters picked without replacement from {q: 3, f: 1}. What is prob of sequence fqfq? 0 Two letters picked without replacement from ktkchbkk. What is prob of sequence tk? 1/14 Three letters picked without replacement from mffxmkfmffmb. What is prob of sequence bfk? 1/264 What is prob of sequence fmns when four letters picked without replacement from {m: 1, n: 7, s: 8, f: 4}? 28/14535 Two letters picked without replacement from obbbbooqobbqbo. What is prob of sequence bo? 5/26 Calculate prob of sequence tvmd when four letters picked without replacement from mbqtdvdddmmmddmtqdmd. 4/4845 Calculate prob of sequence hfu when three letters picked without replacement from hulhhhuhfhl. 2/165 Four letters picked without replacement from xjjjfjxxxxxxxxxjx. Give prob of sequence ffxj. 0 Calculate prob of sequence kkh when three letters picked without replacement from kkhj. 1/12 Two letters picked without replacement from {e: 4, i: 1, r: 1, h: 1, m: 3, k: 2}. Give prob of sequence kr. 1/66 Three letters picked without replacement from jjjzjzwjjjwww. What is prob of sequence wjj? 14/143 Calculate prob of sequence fs when two letters picked without replacement from fssfvsfvfvvwvsffv. 3/34 Calculate prob of sequence qqi when three letters picked without replacement from iiriqiirqiriir. 2/273 Calculate prob of sequence dxi when three letters picked without replacement from {t: 1, p: 4, i: 1, d: 4, b: 1, x: 4}. 8/1365 Calculate prob of sequence vzv when three letters picked without replacement from {o: 4, z: 3, u: 1, v: 2}. 1/120 Three letters picked without replacement from {d: 10, r: 9}. What is prob of sequence rrr? 28/323 Calculate prob of sequence ptjh when four letters picked without replacement from {z: 1, h: 1, t
{ "pile_set_name": "DM Mathematics" }
p*b - 2*b = y for b. 0 Suppose 5*t + 8 = 7*t. Suppose 6 = -m + 4*l, 2*m - l - 2 = 7. Solve -t*h = -m + 2 for h. 1 Suppose -d + 7 = 3. Solve 3 = -u + d*u for u. 1 Let c(f) = f. Let b be c(4). Let r(y) = 5*y**2 - 1. Let t be r(1). Suppose t*m - w + 0 - 4 = 0, 0 = 4*m + b*w + 16. Solve m = -q + 4*q + 15 for q. -5 Suppose p = 4*q - 13, 4*q = -p + 10 - 7. Suppose -4*j + 5 = 1. Solve 0 = -3*i + q*i - j for i. -1 Let b(f) = f**2 + 5*f + 6. Let h be b(-4). Suppose -12 = -2*j - v, 3*j + 3*v - 11 = 7. Solve 0 = h*w - j for w. 3 Let g = -3 + 10. Let p = g - 3. Solve -p*s - 6 - 14 = 0 for s. -5 Let g(m) = m**2 - 2*m. Let x be (-16)/(-7) - (-2)/(-7). Let v be g(x). Suppose 0 = q - v*q - 4. Solve 0 = -6*t + 2*t + q for t. 1 Let d = 12 + -3. Solve -4*i - 3 = d for i. -3 Let z be (21/9)/(-7)*0. Solve 5*u = -z - 5 for u. -1 Let j be (7/3)/((-5)/(-15)). Suppose -5*z = 4*s + 40, 5*z = 5*s - s. Let f = j + s. Solve f*c + 3 = c for c. -3 Suppose 24 = -0*u + 4*u - 2*j, 12 = -2*u - 5*j. Suppose 2*r + k - 4 = 0, r - u*k - 20 = -0*k. Solve x + x - r = 0 for x. 2 Suppose -2*p - 26 = -4*p - 4*n, -3*p = -5*n + 16. Solve h = 2*h + p for h. -3 Suppose 3*c - 5 = 4*w + 30, -4*w = -c + 25. Suppose -2*v = -d + 4, d - 4*v - c = 1. Solve 3*p + d = 11 for p. 3 Suppose -5*j + j = -8. Solve j = -l - 1 for l. -3 Let h(u) = u**2 - 10*u + 21. Let x be h(2). Solve 8 = x*z + 28 for z. -4 Suppose -4 + 3 = -5*m + 4*g, 6 = 2*m + 4*g. Let j be (-6)/(-9) - (-8)/6. Suppose -2*k + 2*u + 3 + m = 0, -13 = -j*k - u. Solve o - k = -0 for o. 5 Let j = -6 + 10. Let q = 6 - j. Let i = 7 - q. Solve 0*g + 25 = i*g for g. 5 Let i(m) = 11*m - 61. Let c be i(6). Solve c*o - 2*o = 12 for o. 4 Suppose 3*r - 6*r = 0. Let z = 4 + r. Solve v + z = 5*v for v. 1 Let j(z) be the first derivative of -z**2/2 + 6*z + 2. Let b be j(6). Suppose b*o = 2*o. Solve -a + 2 - 7 = o for a. -5 Suppose 2*s + 11 = 3*s. Let r = 3 - 11. Let g be (-6)/(1*12/r). Solve 0 = -g*x + s + 9 for x. 5 Let a(l) = 7*l - 2*l - 4*l + l**2 - 2. Let j be -2 - -1*(0 + 0). Let r be a(j). Solve r*d + 3 = d for d. 3 Suppose 3*x + 5 = -4*l, -2*x = -6*l + 5*l - 4. Suppose -4*d - 19 = -3*g, -4*g - 5*d = -6*g + 15. Solve -g*a + x + 19 = 0 for a. 4 Let t be 14/10 + (-9)/(-15). Suppose -t*i - 2 = v - 24, -i + 3 = 0. Solve -2*m + v = 2*m for m. 4 Suppose -3*z - 12 = -4*z. Let h be 2/z - (-11)/6. Suppose h*d = 4*d. Solve d = w + 3*w for w. 0 Let r(q) = q**3 + 4*q**2 - q - 4. Let i be r(-4). Suppose 2*t - k = 4*k + 16, i = -3*t + 4*k + 17. Let s be (t + -1)/((-8)/(-12)). Solve -1 = m - s for m. 2 Suppose 3*h + 16 = 7*h. Let y be (-2)/h - 67/(-2). Solve y = 5*c + 13 for c. 4 Let p = 8 + -2. Suppose 4*c - p = 2*c. Suppose 2 + 4 = c*u, -u = 3*q - 20. Solve -q*w + 15 = -3*w for w. 5 Let r(k) = -k**3 - 4*k**2 + 6*k + 7. Let a be r(-5). Suppose 3*c = 0, -4*y = -2*y + 4*c - a. Let v be (-3)/(-6) - (-6)/4. Solve -x + v*x = y for x. 1 Let t = 28 - 20. Let y = t - 8. Solve -s + y = 2 for s. -2 Let k = -1 + 3. Suppose -2*h - 15 = -o, -10 - 5 = 3*h. Let t = o - 0. Solve -k = 3*d - t for d. 1 Suppose 5*d + 4 + 16 = 0. Let b(f) = -f - 1. Let n(l) = -l**2 - l - 1. Let u(s) = d*b(s) - n(s). Let k be u(-5). Solve 4 = -i + k for i. 1 Suppose 0 = -w - 10 - 1. Let z = w - -18. Solve 0 = 2*t + z - 1 for t. -3 Let b(u) = -u - 5. Let d be b(-7). Solve 9 + 1 = -d*q for q. -5 Let j(q) = q + 1. Let x(g) = g + 9. Let l be x(-8). Let v be j(l). Suppose 0*a - 2*d = 4*a - 14, 3*a - 3 = d. Solve 2*u - a = v for u. 2 Let t be 8/12*3 - -1. Solve t = -r + 1 for r. -2 Suppose 0 = -4*i + 3*c - 19, -2*i - 3*c - 17 = -6*c. Let j be (i + 7)/((-3)/(-2)). Solve f = j*f for f. 0 Suppose 0 = -2*s + j + 57, -s + 27 = -4*j - 5. Suppose -5*g = -8 + s. Let r(f) = f**3 + 4*f**2 - 2*f - 4. Let n be r(g). Solve 0 = -n*v + 4 for v. 1 Let r(h) = -h**3 + 4*h**2 + 3*h - 5. Let y be r(4). Suppose -m - 6 = -3*v + 4, -v - 2 = 5*m. Solve -v = -2*k + y for k. 5 Let t be 6/(-4)*8/(-3). Let c = 5 - t. Solve -7 = 3*x - c for x. -2 Suppose y - 1 = -3*v, 4*v + 2*y = -0*v. Suppose 2*b + v = 7. Suppose 2*r = b*r - 6. Solve -2*s - s = -r for s. 2 Let i = -49 - -5. Let g be (-2)/(-6) - i/3. Solve -l = 2*l - g for l. 5 Suppose 3*h + 3 = 15. Let y(o) = o**3 - 9*o**2 + 8*o. Let n be y(8). Solve n = 3*f + h - 19 for f. 5 Let k be -1 - (2 + -7 - -2). Solve -k*q = -0*q - 4 for q. 2 Suppose 2*y + 12 = 2*p, -3*y - 4 = 5*p - 2. Let s = 3 - 1. Let n = s + p. Solve z - n = 1 for z. 5 Let l = -4 + -1. Let i = l - -7. Solve -5*f - i = -3*f for f. -1 Let w = 88 - 81. Solve -3*t + 8 = -w for t. 5 Suppose 0 = -5*b - 2*q + 24, q - 8 = -3*b + 7. Solve -o - b = o for o. -3 Let k(v) = 2*v**2 - v + 2. Let c be k(1). Solve c*m - 8*m = -25 for m. 5 Let l(v) = -5*v**3 - 17*v**2 + 15*v + 3. Let b(q) = 3*q**3 + 9*q**2 - 8*q - 2. Let m(y) = -7*b(y) - 4*l(y). Let i be m(4). Solve 0 = i*w - w for w. 0 Let q(i) = i**2 - 3*i + 4. Let z be q(3). Suppose -3*m + 5*t = -14, -z*m + 4*t + 17 = -t. Let r be -1*1 + 3 + -2. Solve m*f - 4*f = r for f. 0 Let r(z) = -z - 5. Let o = 6 - 12. Let k be r(o). Solve -3 = -4*s + k for s. 1 Suppose 0 = 3*h + 93 - 39. Let b = -15 - h. Solve -b*f + 0 + 6 = 0 for f. 2 Suppose -4*f + 21 = f + 3*a, 4*a = f - 18. Suppose 2 + 19 = r + 5*z, f = 2*r - 2*z. Solve -3*s = -r*s + 6 for s. 2 Let u(m) = -m**3 + 3*m**2 + m - 2. Let q be u(2). Let l be (-10)/(-2) + -3 - 4. Let r be (-6 + 0)/1*l. Solve -4*j + r = -q for j. 4 Suppose -5*v + 9 = h, 4*v + 1 = 5. Solve -w - 3 = -h for w. 1 Suppose 0 = 5*q - 46 - 49. Let s(i) = i**3 - 3*i**2 - 6*i. Let c be s(4). Let x = q + c. Solve -2*k - 1 = -x for k. 5 Let h be (8/(-6))/(4/(-6)). Suppose -5 = -h*f - 1. Suppose -f*x = x - 3. Solve k + x = -3 for k. -4 Let j be (10/(-4))/(1/(-2)). Let u(r) = -r**2 + r. Let o be u(-4). Let i be (2/5)/((-2)/o). Solve j*w + 4 = i*w for w. -4 Let a(g) = -g**2 + 6*g - 9. Let u be a(3). Solve 0 = -u*p - 4*p for p. 0 Let i(q) = -2*q - 10. Let m be i(-8). Suppose 0 = -m*k + 2*k + g + 11, -5*k + 5*g = -10. Solve 0*c = c + k for c. -3 Let p = -17 - -28. Let q = -3 + p. Solve q = -2*z - 0*z for z. -4 Let r = 97 + -91. Solve 5*y - r = 8*y for y. -2 Let r(w) = -w**2 + 7*w. Let n be r(7). Let y = 6 - n. Solve -4*g - 6 = -y*g for g. 3 Let y = 2 + 0. Suppose 0 = -y*h + 3*h - 2. Solve -h*f = f - 6 for f. 2 Let u = 80 - 78. Solve -u*d = -d - 4 for d. 4 Let h(m) = 0*m**2 + 4*m + m**2 - 2*m**2 - 3*m. Let w be h(1). Solve -4*o - 2 + 6 = w for o. 1 Let u = 1 + 5. Solve -2*m = -0*m + u for m. -3 Let n be (-12)/72 + (-14)/(-12). Solve -3*w + n = -2 for w. 1 Suppose t - 3*t + 3*c = 8, 4*t = c + 4. Solve 3*b + t + 4 = 0 for b. -2 Let v = 14 + -11. Let x = 6 + -4. Solve -4 = v*t + x for t. -2 Let z(h) = -2*h + 9. Let g be z(5). Let c(d) = -d**3 + 2*d**2 + d. Let l be c(g). Solve -l + 7 = -5*n for n. -1 Let x be -5 - -4 - (-13)/1. Let r = 0 + x. Solve -r = -0*i - 4*i for i. 3 Let q = 5 + -4. Suppose -q = 2*f - t, f + 0*f - t + 3 = 0. Solve f*c - 20 = -2*c for c. 5 Let x(k) = k**2 + 3*k - 4. Suppose -f + 0*f - 4 = 0. Let h be x(f). Suppose -2*a = -h - 8. Solve 8*g = a*g - 12 for g. -3 Let j(i) = -i**3 - 6*i**2 - 5*i + 4. Suppose -1 = 2*v + z + 8, 4*v + 3*z + 17 = 0. Let s be j(v). Solve -7 = -3*m - s for m. 1 Let o(t) = -t**3 - 4*t**2 + 4*t + 7. Let l be o(-5). Solve 5*i - 2 = -l for i. -2 Let r be 6/(-27) - 110/(-90). Suppose -22 + 2 = -5*u. Solve 17 = -u*i + r for i. -4 Suppose -11 = -x - 1. Suppose 2*a - 3*z - 10 = 0, -4*z - 6 = -3*a + 4*a. Solve a*o = 4*o - x for o. 5 Let f(z) = -z. Let u(l) = -7*l - 17. Let d(y) = 6*f(y) - u(y). Let r be d(-8). Solve -6*q + r = -3*q for q. 3 Let l(r) = r + 2. Let y be l(-4). Let c = y - -6. Suppose c*w = -a - 3 - 3, 0 = w + 2. Solve a = -v - 2 for v. -4 Suppose 2*q + 3 = -3*a + 2*a, 3*q = -3*a - 6. Let j be (3/6 + q)*0. Solve j*b = 4*b + 16 for b. -4 Suppose 0 = 5*a + 4*q - 2, q = 4*a - 3*q - 16. Solve 2*f - a = -6 for f. -2 Let f(g) = -g**2 - 9*g - 7. Let o be f(-5). Solve 2*u + 5 = o for u. 4 Suppose 60 = 7*o - 2*o. Let d be 6/o - 10/(-4). Solve d*w + 3 = -3 for w. -2 Suppose 2*h = -22 + 10. Let g be (-10)/(-15) + 58/h. Let a = 0 - g. Solve q + 2*q = a for q. 3 Let p = -9 - -13. Let j be (3/p)/(1/(-4)). Let t = 6 + j. Solve -t*n = -0 - 12 for n. 4 Let m be (2/6 + 0)*18. Solve n = 2 - m for n. -4 Let w = -18 - -15. Let o be 5 + w/(3/4). Suppose -
{ "pile_set_name": "DM Mathematics" }
425) + sqrt(425) + sqrt(425)) + (sqrt(425)*3*3)**2. 65*sqrt(17) + 34428 Simplify (sqrt(13) - (-4 + sqrt(13)*-2)) + (sqrt(13) - ((sqrt(13) - (-3*sqrt(13)*2)**2) + sqrt(13))) + 3 + -1. 2*sqrt(13) + 474 Simplify sqrt(1700)*-1 + 2 + (sqrt(1700) - (-1 + (sqrt(1700) - sqrt(1700)*1))) + -4. -1 Simplify -2*(sqrt(28) + (sqrt(168) - -3*sqrt(168))/sqrt(6))/(sqrt(96)/sqrt(6)) + 4. -5*sqrt(7) + 4 Simplify -5*(-3*(sqrt(700) + 0 + sqrt(700)) + 3 + 4*-5*(sqrt(700) + 1))**2. -2367445 - 44200*sqrt(7) Simplify (sqrt(156) + (sqrt(156) - (sqrt(156) + -2*sqrt(156)))*3 - (sqrt(156) - (sqrt(156)*-1 + sqrt(156)))*2)/(1*sqrt(4800)) + -2. -2 + sqrt(13)/4 Simplify (sqrt(2016)*-1 - (sqrt(14) - (sqrt(14) - 2*sqrt(1400))))/(sqrt(28) - (sqrt(700)*-4 - sqrt(28))). -8*sqrt(2)/11 Simplify -5*(-4*sqrt(7)*-2)**2 - ((sqrt(7) + -1)*3*-2)**2. -2528 + 72*sqrt(7) Simplify 3*(-1*4*sqrt(228))/(sqrt(972) + (sqrt(972) - (sqrt(972) + -3*sqrt(972)) - sqrt(972) - sqrt(972)) + sqrt(972)). -4*sqrt(19)/9 Simplify (-5*(-1*sqrt(132)*-1 - sqrt(132)))/((sqrt(12) - (sqrt(108) + 1*sqrt(108)))*-5). 0 Simplify ((sqrt(126)*2*5 - sqrt(126))/sqrt(9))/(-5*-2*sqrt(200)). 9*sqrt(7)/100 Simplify ((sqrt(78)/sqrt(6) + 4)*-3 + (sqrt(78) + -6*4*sqrt(78))/sqrt(6))*1. -26*sqrt(13) - 12 Simplify -2*-1*sqrt(72) + -1*sqrt(72) + -5. -5 + 6*sqrt(2) Simplify ((-1 + sqrt(500) - sqrt(5))**2 - sqrt(35)/sqrt(112) - (sqrt(2880)*2)/sqrt(4)) + -3. -169*sqrt(5)/4 + 403 Simplify (sqrt(77) + (sqrt(77) - (sqrt(77)*1 - sqrt(77))*-1) - sqrt(77))/sqrt(7) - (sqrt(132)/(2*sqrt(12)*-1))**2. -11/4 + sqrt(11) Simplify (5 + ((1 + sqrt(176) - sqrt(176)) + -3)**2)*5 + -2. 43 Simplify (sqrt(363)*2 + -1 + -1)*6. -12 + 132*sqrt(3) Simplify ((-4*(3*(sqrt(171) + (1*sqrt(171) - sqrt(171) - sqrt(171))) + sqrt(171) - sqrt(171)))/(sqrt(27)/sqrt(48) + -6*sqrt(36)/sqrt(4))*6)**2. 0 Simplify (sqrt(1331)*1 + -5 - -3*(sqrt(1331) + 1 + sqrt(1331)) - (6*sqrt(66)*2)/(2*sqrt(600)))**2. -1528*sqrt(11)/5 + 1605264/25 Simplify (sqrt(300) + -3*sqrt(300))/(-4*sqrt(144) + sqrt(144)). 5*sqrt(3)/9 Simplify (sqrt(637) + -1 + sqrt(637))**2 + (sqrt(156)/sqrt(108) + sqrt(13) - sqrt(13)) + -2 + 5 + 0. -83*sqrt(13)/3 + 2552 Simplify (((sqrt(70) + sqrt(70)*2 + sqrt(70))/sqrt(5) - sqrt(14))/sqrt(7) - (-4 + 2*sqrt(2) + sqrt(2) - sqrt(2) - sqrt(8)*-2)**2) + 0 + 3. -85 + 51*sqrt(2) Simplify (sqrt(45)/(sqrt(18)/sqrt(2)))**2 - (sqrt(5) + (sqrt(5) - (sqrt(5) + -2)) + 1)**2 - sqrt(125)*-1*2. -9 + 4*sqrt(5) Simplify sqrt(27)/sqrt(36) + (4 + sqrt(48))**2 - ((0 + sqrt(147))**2 - sqrt(9)/(sqrt(6)/sqrt(2))). -83 + 67*sqrt(3)/2 Simplify (-4 + -1 + sqrt(1331) + -1)**2 - ((-3*sqrt(66) + sqrt(66))/sqrt(6) + 4 + sqrt(11)*3 + sqrt(11))**2. -148*sqrt(11) + 1307 Simplify -6*(sqrt(456)/(sqrt(12)*-2))/sqrt(128) + 5. 3*sqrt(19)/8 + 5 Simplify ((1 + sqrt(117))*4 + sqrt(117) + 3)**2 - (((3 + sqrt(117))**2 - sqrt(117)) + 5)*4. 150*sqrt(13) + 2450 Simplify ((sqrt(104) + 1*sqrt(104)*-4 + sqrt(104) + sqrt(104))*-2)/((sqrt(200) - (sqrt(200) + sqrt(200)*-2))*5)*-2. -2*sqrt(13)/25 Simplify (-2*1*sqrt(77))/sqrt(7) + (-5 + sqrt(44) + 2)**2. -14*sqrt(11) + 53 Simplify (-3*(sqrt(5) + 0) + sqrt(5) + -1 + -4)**2 + 0 + sqrt(35)/sqrt(175). 45 + 101*sqrt(5)/5 Simplify (4*(sqrt(605)*-1 + sqrt(605)) - (1*sqrt(605) + 5) - (-3*(-2*sqrt(605) - sqrt(605)) + -4))**2. 220*sqrt(5) + 60501 Simplify (2*(-1 + sqrt(7)) + 1 + (sqrt(112) - sqrt(112)*-3) + 0)*6. -6 + 108*sqrt(7) Simplify ((-2*sqrt(121) + sqrt(121) - sqrt(121))*6*-2)/((sqrt(55) + sqrt(550)/(sqrt(20)/sqrt(2)))/sqrt(5)). 12*sqrt(11) Simplify -2*(3*(-4 + -2 + sqrt(567))**2 - (0 + sqrt(567))**2*6*4). 648*sqrt(7) + 23598 Simplify 1 + (4 + sqrt(162))**2 + -1*sqrt(288) + -2 + 1. 60*sqrt(2) + 178 Simplify -4*(sqrt(1008) - 2*(sqrt(1008) + -2)) + 5. -11 + 48*sqrt(7) Simplify (sqrt(260) - sqrt(260)*1*-3)/sqrt(5) - sqrt(624)/(sqrt(300) + (-2*sqrt(300) - sqrt(300)) + sqrt(300)). 42*sqrt(13)/5 Simplify (5*sqrt(40)/sqrt(4) - (sqrt(100) + -1*sqrt(100))/sqrt(10))/(sqrt(14)/(sqrt(567)*2)). 90*sqrt(5) Simplify (-5*(sqrt(637)*2*-6 - (sqrt(637) + -1 + 2)))**2. 4550*sqrt(13) + 2691350 Simplify -2 + 6*(-1 + -5*1*sqrt(272)) + -4. -120*sqrt(17) - 12 Simplify (5 + sqrt(11)*1 + sqrt(11) + sqrt(77)/(-2*sqrt(7)))*-2*-2 + 5 + -2. 6*sqrt(11) + 23 Simplify 3*(((sqrt(330)/sqrt(6) + sqrt(55))*4)/(sqrt(10)/sqrt(72)))**2. 76032 Simplify ((sqrt(1872) + 0)**2*-5 + sqrt(1872) - 1*(-2 + sqrt(1872))) + ((sqrt(1872) - (5 + -2*sqrt(1872))) + -3)**2. -576*sqrt(13) + 7554 Simplify -4 + (sqrt(17) - (sqrt(1377) + -1)) + 5 + (4*(-2*sqrt(612) + 2))**2. -776*sqrt(17) + 39234 Simplify (sqrt(252) + -4 + sqrt(252) + 0 + (sqrt(252) + sqrt(252) + (sqrt(252) + 4 - sqrt(252)) + -1 - sqrt(252)) + sqrt(252))**2. -48*sqrt(7) + 4033 Simplify ((sqrt(99) + -3 - sqrt(55)/(sqrt(245) - sqrt(5))) + 1 + 5 + (-1*sqrt(1100) - sqrt(1100)))**2. -103*sqrt(11) + 117023/36 Simplify (sqrt(2500)*1 + -1*sqrt(25)*4)/((sqrt(240)*2)/sqrt(12)). 3*sqrt(5)/2 Simplify (-5 + (-2*sqrt(288) + 2 - sqrt(288)) - (sqrt(288) + (sqrt(288) + 1)*-6 + 1))**2. 96*sqrt(2) + 1156 Simplify 5 + -5 + ((sqrt(500) + 2 - sqrt(500))**2*-2 - 5*(sqrt(500) - (sqrt(500) + 2)))*2. 4 Simplify (2*(sqrt(78) - (sqrt(78) + sqrt(78)*1))*6)/(sqrt(48)/(sqrt(16)/sqrt(2))*5)*2. -24*sqrt(13)/5 Simplify -3 + 3 + (sqrt(144) - (sqrt(144)*2 + sqrt(144) - sqrt(144)) - sqrt(16))/(sqrt(32)/sqrt(4)*3). -4*sqrt(2)/3 Simplify (-1*sqrt(1331)*4*-1 + -2 + -1*sqrt(1331) + 1)**2. -66*sqrt(11) + 11980 Simplify (-1*2*sqrt(448) + -3*(sqrt(448) + -1*sqrt(448)))**2*-3*-3. 16128 Simplify -1*((sqrt(17) - (sqrt(153) - -1*sqrt(153) - sqrt(153))/sqrt(9)) + 1*(1 + sqrt(17))**2) + 0 + 4. -14 - 2*sqrt(17) Simplify (1 + sqrt(176)*-2 + 3)**2 + -1*(sqrt(176) + -3*sqrt(176)*-2)**2. -7904 - 64*sqrt(11) Simplify 5 + (((-1*sqrt(117) - sqrt(117)) + sqrt(117))*-5)/sqrt(9) + ((sqrt(78)/sqrt(2) + sqrt(39) - sqrt(39))/sqrt(3) - sqrt(117)*4)**2. 5*sqrt(13) + 1578 Simplify (5*2*sqrt(216))/(1*-2*(sqrt(8) + sqrt(72))). -15*sqrt(3)/4 Simplify 1*((sqrt(612) - (1 + sqrt(612) + 4))*-1)**2. 25 Simplify 5 + sqrt(18)/((sqrt(36) + sqrt(36) + sqrt(900))/sqrt(4)) + (sqrt(288) - -5*(sqrt(288) + 2))**2. 10081*sqrt(2)/7 + 10473 Simplify (-4 + ((sqrt(135)*-3 + sqrt(135))/sqrt(3))/(sqrt(1089)*3 - sqrt(1089)))**2. 8*sqrt(5)/11 + 1941/121 Simplify (-2*3*-4*((0 + sqrt(76))*-4 - sqrt(76))*1)**2. 1094400 Simplify (5 + (-1 + sqrt(720) + -3 + 3)*-1)**2. -144*sqrt(5) + 756 Simplify (2 + sqrt(3645) - (2*2*sqrt(25))/sqrt(5))**2. 92*sqrt(5) + 2649 Simplify -1*((sqrt(175) + -2 - sqrt(175) - sqrt(175))*5*5*4)**2 + -2. -1790002 - 200000*sqrt(7) Simplify ((sqrt(152) - (2*sqrt(152) + sqrt(152))*2 - sqrt(152)) + (5*(sqrt(152) + sqrt(152)*1) - sqrt(152)))/(sqrt(40)/(sqrt(30)/sqrt(6)*-5)). -15*sqrt(19) Simplify -3*((2 + ((sqrt(20))**2 + sqrt(5))*-5)*3*-2 + 4). -1776 - 90*sqrt(5) Simplify -4 + ((sqrt(33)/sqrt(3) + sqrt(11))*1)**2 + sqrt(1100)*-2. -20*sqrt(11) + 40 Simplify 4 + (sqrt(504)/(sqrt(24)/sqrt(2)))/sqrt(6) + -1. sqrt(7) + 3 Simplify ((-5*(sqrt(190) - (sqrt(190)*-5 + sqrt(190))) - sqrt(190)) + sqrt(190))/(4*sqrt(810)). -25*sqrt(19)/36 Simplify 1 + ((sqrt(15)/(6*sqrt(3)) + sqrt(5) - sqrt(5))**2 - -1*sqrt(5)*-6). -6*sqrt(5) + 41/36 Simplify (-6*(-1 + sqrt(891)) + -4)**2 - ((1*(sqrt(891) + 1)**2 - sqrt(891)) + -5). -225*sqrt(11) + 31193 Simplify sqrt(63)/(1*sqrt(9)) + (sqrt(567) - (-2 + sqrt(567)))**2 - (-1*sqrt(1008))/sqrt(4). 4 + 7*sqrt(7) Simplify 4 + -6*(-1 + 1 + 1 + sqrt(891))**2. -5348 - 108*sqrt(11) Simplify -4 + ((-3 + sqrt(275)*-3)**2 - sqrt(275)) + -5. 85*sqrt(11) + 2475 Simplify ((sqrt(110) + sqrt(110) + (((2*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110))*1 - sqrt(110)))*-6)/(sqrt(20)/sqrt(50) + sqrt(10) - -2*sqrt(10)*-2). 30*sqrt(11)/7 Simplify (4*(-1*sqrt(153) + sqrt(153))*-4)/((sqrt(729)*-2 + sqrt(729))*1). 0 Simplify 5*(1 + ((sqrt(140)/sqrt(4)*-3)/(sqrt(343)*-2))**2). 1205/196 Simplify (-3*(1 + (sqrt(605) - (sqrt(605) + 2 + sqrt(605)))) - ((-6*(sqrt(605) + 2) - sqrt(605)) + 5))**2. 2200*sqrt(5) + 60600 Simplify (4*sqrt(76))**2 + 3 + -2 + (sqrt(19) - (sqrt(171) + sqrt(171) + 2)). -5*sqrt(19) + 1215 Simplify -1 + sqrt(98) + -1 + 4 + (sqrt(98) + -2 + 0)**2*-3. -304 + 91*sqrt(2) Simplify (sqrt(204) - -5*(sqrt(204) + (sqrt(204) - 1*sqrt(204)) - sqrt(204)) - sqrt(204) - sqrt(204) - sqrt(204)*2*3)/(sqrt(24)/(-3*sqrt(8)/sqrt(4))). 21*sqrt(17) Sim
{ "pile_set_name": "DM Mathematics" }
sqrt(2)*-6)/sqrt(5)*3). -80*sqrt(3)/9 Simplify (((sqrt(90)*2)/sqrt(5) + 5*sqrt(288))/(sqrt(1089)*2*3) + 1 + -4)**2 + -3. -2*sqrt(2) + 56/9 Simplify (sqrt(11) + 0 + -4 - -1*3*sqrt(11))**2 + -2 - (sqrt(3520) - 1*sqrt(3520))/(sqrt(10)/(sqrt(2)*1)). -32*sqrt(11) + 190 Simplify (2 + -2 + (1*sqrt(432))**2)*-5 - (sqrt(3)*-1 + -2 + sqrt(54)/sqrt(2) + -3 + 4 + 1*sqrt(3)). -2159 - 3*sqrt(3) Simplify (4*(5 + sqrt(13) + (sqrt(13) - sqrt(325)*-1)) + 3*(-4 + sqrt(52)/(sqrt(4)*-1)) + -3)**2. 250*sqrt(13) + 8150 Simplify 4*(-4 + (((sqrt(392)/(sqrt(7)*2) - sqrt(56)) + sqrt(56))/(sqrt(24)/sqrt(3)*3))**2) + 2. -119/9 Simplify 6*(-4 + (-4*sqrt(66)*2 - (-3*sqrt(66)*-2 + sqrt(66) + sqrt(66)))/(-5*sqrt(216)*-6)). -24 - 8*sqrt(11)/15 Simplify ((sqrt(126)/(sqrt(9) + sqrt(54)/sqrt(6)))/sqrt(7) - (-4*sqrt(2)*-1 - (-2 + 1*sqrt(2))))**2 + -1 + 0. 10*sqrt(2) + 31/2 Simplify 5 + (3 + 1 + sqrt(1100) + 2 + 2)**2*3 + -5. 480*sqrt(11) + 3492 Simplify ((sqrt(112) - -1*sqrt(112))/sqrt(7) + sqrt(784)*-2)/((4*sqrt(160))/(-5*-1*sqrt(5))). -15*sqrt(2)/2 Simplify ((-1*sqrt(72))/(sqrt(4) + (sqrt(4) + sqrt(36))*-2))**2 + 1*(sqrt(2) - (sqrt(2) - (0 + (sqrt(12)/sqrt(6) - sqrt(2))**2)))*-4. 18/49 Simplify 2 + 3*((sqrt(425) + 0)*5 + sqrt(425) + (sqrt(425) - (sqrt(425) - (-6*(sqrt(425) + -1 + sqrt(425)) - sqrt(425)))))**2*-6. -375496 + 7560*sqrt(17) Simplify 2 + 6*(2 + (sqrt(2057) + (-1*sqrt(2057))**2 - ((-1*sqrt(187))/sqrt(11))**2) + ((sqrt(51)/sqrt(3) + -3)*2)**2) + -5. -78*sqrt(17) + 12873 Simplify (sqrt(76) + 3 + 1 + -2 + 2 + sqrt(76) + -3 + -2 + -1)**2*-1. -308 + 16*sqrt(19) Simplify (sqrt(245)/(sqrt(42)/sqrt(6)) + (sqrt(350) - sqrt(350)*-2)/sqrt(10))/((sqrt(315)*5)/(sqrt(77)/(sqrt(33)/sqrt(3)))). 4*sqrt(7)/15 Simplify (4*(4*sqrt(119)*1 - -2*sqrt(119)*-3))/(sqrt(7) + sqrt(3087)/sqrt(9) - sqrt(42)/(sqrt(6) - -3*sqrt(6))). -32*sqrt(17)/31 Simplify (-1 + sqrt(1053))**2 - (sqrt(39)*4)/sqrt(3) - (sqrt(39) - (1*sqrt(351) - sqrt(39)))/(3*sqrt(3)*2). -131*sqrt(13)/6 + 1054 Simplify (-5*((-6*2*(sqrt(51) - (sqrt(51) + sqrt(51)*-3)))/(sqrt(18)/((sqrt(144)/sqrt(8))/sqrt(3))) + 1))**2. -1800*sqrt(17) + 550825 Simplify ((-2 + (2*sqrt(243) + sqrt(243))*1 + sqrt(243) + (sqrt(243) - (sqrt(243) - (sqrt(243) - (0 + sqrt(243))))) + 5)*6)**2*-2. -280584 - 15552*sqrt(3) Simplify (-4*(sqrt(147) + (sqrt(147) - sqrt(147)*-1*-1) + sqrt(147) + 2*sqrt(3)*4 + 0) + -4 + 5)**2. -176*sqrt(3) + 23233 Simplify ((sqrt(17)*1 + -2)*3)**2*-1 - 2*((sqrt(204) - 4*(sqrt(204) + sqrt(204)*-2))/sqrt(12))**2. -1039 + 36*sqrt(17) Simplify (1*(sqrt(156) - (sqrt(156) + (sqrt(156) - 1*sqrt(156)))*4 - 3*sqrt(156)*-2))/(3*((sqrt(36)*-1)/sqrt(3) - 2*sqrt(108))). -sqrt(13)/7 Simplify -4*((sqrt(76) + 2 + 1)**2 + -5 + 1 + 2*sqrt(76) + (sqrt(76) + -1 + sqrt(76) + 3)**2). -1556 - 128*sqrt(19) Simplify ((-4*(sqrt(133) + (sqrt(133) + 1*sqrt(133))*-5)*2)/(sqrt(77)/(4*sqrt(11)) - -4*sqrt(28)))**2. 175104/121 Simplify 1*(((sqrt(448) - (sqrt(448) - -3*sqrt(448)*-2)) + -1)**2 - (2*sqrt(448) + 0 - (1 + (sqrt(448)*2 - sqrt(448)))))*6. -624*sqrt(7) + 96780 Simplify ((sqrt(12) - sqrt(1200)*2) + ((sqrt(36)*-1)/sqrt(3) - sqrt(12)))/(-5*(sqrt(576) + sqrt(576)*4) + sqrt(576)). 7*sqrt(3)/96 Simplify (5 + (sqrt(144)/(sqrt(4) - -2*sqrt(12)/sqrt(3)))/((sqrt(1200)*-1 - sqrt(12) - sqrt(12))*3)*-1)**2*3. 5*sqrt(3)/18 + 97201/1296 Simplify -3*(2*(sqrt(192) + sqrt(192) + sqrt(192)*-1) - (sqrt(192)*-2 + 4)**2 - (3 + 4 + (sqrt(192) - (sqrt(192)*-2)**2))) + 2. -408*sqrt(3) + 71 Simplify (sqrt(132)*1*2)/(-3*sqrt(12)*-1)*-3*-5. 10*sqrt(11) Simplify ((sqrt(110) - sqrt(110)*1*5)/sqrt(10) + 4 + (sqrt(11) + sqrt(110)/(sqrt(20)/sqrt(2)))*2 + -1)**2. 9 Simplify sqrt(28)/(sqrt(36)*-4) + -4 - ((6*sqrt(448)*-2)**2 + -5). -64511 - sqrt(7)/12 Simplify 4 + (sqrt(19) + sqrt(76) + 2 - sqrt(171)*4) - (sqrt(95)/(sqrt(5) + sqrt(5) + sqrt(30)/sqrt(6)) - sqrt(304)*-3). -64*sqrt(19)/3 + 6 Simplify (2*(-3*((1 + sqrt(539) - sqrt(539)) + sqrt(539))*2 - ((1 + sqrt(539))*5 + 0))*-5)**2. 169400*sqrt(11) + 6534000 Simplify ((sqrt(252) - sqrt(28))*-3 + 0 + 1*sqrt(28) + (sqrt(336) - ((sqrt(336) - -5*6*sqrt(336)) + sqrt(336)))/sqrt(12) + 2 + -4)**2. 288*sqrt(7) + 36292 Simplify -6*(-3*(sqrt(2299) + 1 + sqrt(2299))**2 + -6*(2*sqrt(2299))**2 + sqrt(2299) + 5*2*sqrt(2299) + 1) + 1. 66*sqrt(19) + 496597 Simplify (-6*sqrt(196)/sqrt(7))/(5*sqrt(4)*2) + ((sqrt(112) - ((sqrt(112) + 0)*5 - sqrt(112))) + -2)**2*-4. -4048 - 963*sqrt(7)/5 Simplify (-5*3*(-4 + 6*(6*(0 + sqrt(612)) + 4*-2*sqrt(612)))*-2)**2. 518400*sqrt(17) + 79329600 Simplify ((-1 + (1*1*sqrt(468) - sqrt(468))*4 + (sqrt(468) + (sqrt(468)*-1 - sqrt(468)) + -5 - (4 + (-2*sqrt(468) - sqrt(468)))))*3)**2. -2160*sqrt(13) + 17748 Simplify ((-3*-2*sqrt(500)*1)/(4*sqrt(360)*-1))**2. 25/8 Simplify ((sqrt(70) - (-6*sqrt(70)*-3 + sqrt(70) + sqrt(70)))*5)/((sqrt(20) + (sqrt(200) - sqrt(200)*4)/sqrt(10))/sqrt(2)). 95*sqrt(7)/2 Simplify (4 + -4 + 6*(sqrt(117) + 0 + sqrt(117)) + -1*(sqrt(117) + 0 - sqrt(117)) + -2*sqrt(117) + 4)**2*3 + 0. 720*sqrt(13) + 35148 Simplify (5 + 2*(-1 + sqrt(125)) + -1 + 5)**2*5*-2 + -3. -5493 - 1400*sqrt(5) Simplify ((1*(5*(sqrt(121)*-2 - sqrt(121)) - sqrt(121))*-6)/(6*(sqrt(1331) + sqrt(1331)*-1 + sqrt(1331)) + (1*sqrt(1331)*-6 - sqrt(1331))))**2. 9216/11 Simplify (3*sqrt(171)*2*-2)**2*-3*-2*-4. -590976 Simplify ((sqrt(468)*1 + -2 - (0 + sqrt(468) + sqrt(468) + -1))*6)**2 + (sqrt(78)*3*-4)/(sqrt(6) + (sqrt(6) - -2*sqrt(6)*3)). 861*sqrt(13)/2 + 16884 Simplify ((-2 + sqrt(539)*1 + (sqrt(275) + -1 - sqrt(33)/(1*sqrt(3))))*2 + -5)**2. -484*sqrt(11) + 5445 Simplify 2 + (sqrt(126)/(1*sqrt(7)*3))/(6*sqrt(864)*3 + sqrt(864) + sqrt(864)). sqrt(3)/720 + 2 Simplify (5 + -5*-2*(2 + sqrt(125)*2)*-2)*-1. 35 + 200*sqrt(5) Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + 0)))*-3 - sqrt(72))**2 + 5 + sqrt(72) + (1 + sqrt(72) - sqrt(72))**2 - (sqrt(98)*-1*-1 + 1*sqrt(98)*-4)**2)*1. 6*sqrt(2) + 276 Simplify -1 + 6*((3 + (sqrt(432) + 1)*3 + 2 + 1)**2 + -4). 3888*sqrt(3) + 23789 Simplify -2 + ((-4 + -1 + (5 + sqrt(539) + 1 - -4*(sqrt(539)*-1 + sqrt(539))))*4)**2. 224*sqrt(11) + 8638 Simplify ((sqrt(84) - ((-2*-2*sqrt(84) - sqrt(84)) + sqrt(84)) - sqrt(84) - -5*sqrt(84)*2)/(sqrt(144)/(sqrt(12) + sqrt(24)/sqrt(2))*-6*2)*-6)**2. 252 Simplify ((-2*sqrt(1274) + sqrt(1274))*-6 + -2*(sqrt(1274)*-2 - sqrt(1274)) + sqrt(1274))/(sqrt(128)*-5 + 4*(sqrt(2) - sqrt(8))). -91*sqrt(13)/44 Simplify -3 + (1 + (sqrt(28)/(sqrt(16)/sqrt(8)))/sqrt(7) - ((sqrt(2) - -3*sqrt(288)) + 5*sqrt(50)))**2. -122*sqrt(2) + 7440 Simplify ((1*4*sqrt(153)*2*1)/((sqrt(189)/sqrt(3)*-4)/(-5*sqrt(28))))**2. 6800 Simplify ((sqrt(343)*-1*4)**2 - ((-2 + sqrt(343)*-1)**2 + sqrt(343))) + ((sqrt(343) + 0 + sqrt(343))*-4 - sqrt(343))**2 + -3 + (sqrt(343)*2 + sqrt(343))**2. -35*sqrt(7) + 36008 Simplify 4*((sqrt(1900)*2 + -4 + (1 + sqrt(1900) + 3 - sqrt(1900)) - 1*(1*sqrt(1900) - sqrt(1900))*2) + 3)**2. 480*sqrt(19) + 30436 Simplify (-2 + (sqrt(405)*1 - sqrt(405)) - -3*sqrt(405)*3)**2 - (3 + ((sqrt(110)*2 - sqrt(110))/sqrt(2))/((sqrt(99)*2)/sqrt(9) - sqrt(11))). -325*sqrt(5) + 32806 Simplify ((sqrt(18)/sqrt(9)*1 - sqrt(2) - (-1 + sqrt(2) + 0) - (2 + -3*sqrt(128)))*-4)**2. -736*sqrt(2) + 16944 Simplify -1*(sqrt(170)/((sqrt(10) + -3*sqrt(10))*4) + -1 - (-1 + sqrt(1377) + 1 + 1 + sqrt(17))**2). 161*sqrt(17)/8 + 1702 Simplify ((1 + -4 + sqrt(475) + 2 + sqrt(475) + 5*(sqrt(475)*3 + 2))*4)**2. 24480*sqrt(19) + 2197696 Simplify (2 + (sqrt(1377) - sqrt(1377)*1)*-4 + 4*(sqrt(1377) + 1) + 4)**2*3 + 2. 2160*sqrt(17) + 66398 Simplify (1*sqrt(704)*-2 - (sqrt(704) - ((sqrt(704) + 1)*-1)**2))*5 - (-4 + sqrt(704) + 4 + -1 + sqrt(704) + sqrt(704) + sqrt(704) + -5). -72*sqrt(11) + 3531 Simplify ((3 + (2 + sqrt(72) - sqrt(72)))*4)**2 - (-5 + -4*-2*sqrt(98) + sqrt(98))**2. -7563 + 630*sqrt(2) Simplify (-5 + -1 + ((sqrt(13) + (sqrt(468) - (sqrt(468) - (sqrt(468) - (-1 + sqrt(468))))))**2 - sqrt(91)/sqrt(448))*-5)*-6. 225*sqrt(13)/4 + 456 Simplify ((5 + (2 + sqrt(252))*-2*6)**2 + -5)*1. 2736*sqrt(7) + 36644 Simplify (-5 + (-1*(-2 + (sqrt(75) + 2 + -1 - sqrt(75)) + (-3*sqrt(75) - sqrt(75))*-3)*-3)**2)*-5. -486020 + 5400*sqrt(3) Simplify ((-4*(2 + sqrt(125)))**2 - ((sqrt(55)/(sqrt(44)/sqrt(4)))**2 + (sqrt(5) - (-2*(sqrt(5) - sqrt(20)))**2))) + 3. 319*sqrt(5) + 2082 Simplify (sqrt(5) - (sqrt(720) + -4))**2 - (-4*sqrt(20))*
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 32 and q? 16 Let k(p) = 2*p**2 + 16*p + 57. Let y be k(0). What is the greatest common divisor of 38 and y? 19 Suppose 345 = 24*m - 255. What is the highest common factor of 50 and m? 25 Suppose -2*m + 74 = 4*r, r + 19 + 120 = 4*m. Calculate the highest common divisor of m and 7. 7 Suppose 4*s = -2*d + 3*d - 20, d - s = 8. Calculate the greatest common factor of 292 and d. 4 Suppose 54 = 3*a - 99. What is the highest common divisor of a and 68? 17 Suppose 116 + 66 = g. What is the highest common divisor of g and 7? 7 Let v = 18 + -13. Suppose 0 = -v*c - 4 + 49. Let f be (48/c)/(2/3). What is the greatest common factor of f and 20? 4 Let r = 840 + -432. What is the highest common factor of 16 and r? 8 Suppose 0 = 162*k - 170*k + 784. What is the greatest common factor of 28 and k? 14 Let n(w) = -w**2 - 13*w + 17. Let c be n(-13). Suppose 0 = -4*v - 0*v + 8. Suppose -3*y - v*y = -340. What is the greatest common factor of y and c? 17 Let i(w) = -w**2 - 18*w - 24. Let o = 41 + -57. Let d be i(o). Calculate the highest common divisor of 32 and d. 8 Let l = 13 + -23. Let c be 1/2 - 95/l. Let z(p) = p**3 + 7*p**2 - 10*p + 9. Let x be z(-8). What is the highest common divisor of c and x? 5 Let x be 2*2/12*276. Let c be x/10 - (-9)/(-45). Calculate the highest common divisor of 36 and c. 9 Suppose 3*f - 47 = -2*n, -14*f + 57 = -10*f - 3*n. What is the highest common factor of 16 and f? 1 Let s be (1 + 0)*8*-1. Let a(h) = -h + 10. Let u be a(s). Suppose 2*g - 2*z - 20 = 0, 0 = -5*g + z + 84 - u. Calculate the highest common factor of g and 154. 14 Let w(u) = u**3 + 22*u**2 + 39*u - 4. Let m be w(-20). Calculate the highest common divisor of m and 120. 8 Let y = 1085 - 470. Calculate the highest common factor of y and 15. 15 Suppose 0 = -16*p + 11*p - 105. Suppose 6*a - 4*a = 102. Let t = a + p. Calculate the highest common factor of 15 and t. 15 Suppose -3*c + 15 = 3*z, 3*z - 15 = -4*c - 0*c. Let y be (-3)/z*(-39 - 6). Calculate the highest common factor of y and 9. 9 Suppose 3*j + 5 = 4*j. Suppose -3*i = -i + t - 65, 3*i = -j*t + 115. Let m be (75/(-3) - 5)*(-2)/6. What is the greatest common divisor of m and i? 10 Let b be (-5 - (-8 + -7)) + -1. Calculate the highest common divisor of 48 and b. 3 Suppose 7*g - 89 = 100. Suppose s - 37 = 5*u, 0*u - u - 29 = -s. What is the greatest common divisor of g and s? 27 Let f be (747 + -6)*20/30. What is the highest common divisor of 130 and f? 26 Let c(j) = j**2 - 9*j + 4. Let o be c(9). Let r = -4 + o. Suppose r = 6*l - l - 110. Calculate the greatest common divisor of l and 44. 22 Let r be (3 - 1)*3/2. Let o be (-24)/((-12)/2) + (-4)/1. Suppose -58*k + 63*k - 60 = o. Calculate the greatest common factor of k and r. 3 Suppose 3 = -3*u + 9. Suppose -h = 2*m + h + 26, 0 = u*m - 4*h + 2. Let g = 33 - m. What is the greatest common divisor of g and 7? 7 Suppose 3*t + 4664 = -5*t. Let q = t - -855. Calculate the greatest common factor of q and 34. 34 Let x be ((-1)/(-2))/((-6)/(-36)). Suppose f - 2*l = 65 - 9, x*f = 5*l + 166. What is the greatest common divisor of 416 and f? 52 Let c = -106 + 175. Let w = c - 61. What is the greatest common divisor of 40 and w? 8 Let x(q) = -5*q + 7. Let s be x(-1). What is the greatest common divisor of 18 and s? 6 Suppose 146 = -7*u - 29. Let o be (0 - 30)*(5 - (-135)/u). What is the greatest common factor of 108 and o? 12 Suppose -4*z - 25752 = -33*z. Calculate the greatest common factor of z and 48. 24 Suppose 291*h - 293*h + 152 = 0. What is the highest common factor of h and 171? 19 Suppose -3*j + 4 = -0*j + 4*d, 0 = 4*d - 4. Let b be (12 + 3)*(1 + j). Calculate the highest common divisor of b and 3. 3 Suppose -7*p + 3*p = -12. Suppose 23 = p*q - 4*s, 3*q = -5*s + 11 + 21. What is the highest common factor of q and 36? 9 Suppose -2*d = -17 + 9. Calculate the greatest common divisor of 26 and d. 2 Let f be (23*1)/((8 - -4)/108). Calculate the highest common divisor of f and 9. 9 Let n = -89 + 169. Let u(k) = k**2 + 1. Let t be u(3). Calculate the highest common divisor of n and t. 10 Let z = -634 - -644. Suppose -2*o = 2*o - 16. Let p = z - o. What is the highest common factor of 4 and p? 2 Let a = -6 - 0. Let p(h) be the first derivative of h**4/4 + 2*h**3 - 2*h**2 - 4*h - 20. Let y be p(a). Calculate the highest common factor of 8 and y. 4 Let w = 64 + -36. Let n be (-2)/3*3/(-2) - 1. Let x be -5*1/(-2)*(28 + n). What is the greatest common divisor of w and x? 14 Let d = 1 + -14. Let a(m) = m**2 + 8*m + 7. Let v be a(d). What is the greatest common factor of v and 36? 36 Let b = -2 - -8. Suppose -b*v = -v - 245. Let y be v - 4*3/(-6). Calculate the highest common divisor of 17 and y. 17 Let s = -107 - -640. Calculate the highest common factor of 26 and s. 13 Let s be 1/5 + 1/(-5). Let x be (s - 0)*(0 - 1). Suppose -2*h - 4 + 26 = x. Calculate the highest common factor of h and 33. 11 Let v(q) = 3*q**2 - 13*q + 6. Let i be v(5). Let x = 23 + 1. What is the highest common factor of i and x? 8 Suppose 0 = -4*a - 4*h, h + h = 2*a - 16. Suppose 0 = -7*s + 102 - a. Let u(t) = t**2 - 2*t - 1. Let v be u(-1). What is the greatest common divisor of s and v? 2 Suppose 0 = -6*w + 2*w - 2*x + 12, -x - 2 = -2*w. Let f be w + (-7)/(7/(-4)). What is the greatest common divisor of 4 and f? 2 Let d be (-280)/(-60)*6/7. Suppose 5*w = -d*t + 52, 2*t + 7*w - 4*w = 28. What is the highest common factor of t and 56? 8 Let p be 18/27 - (-295)/3. What is the greatest common divisor of p and 55? 11 Suppose 101*k + 300 = 105*k. Calculate the greatest common divisor of 45 and k. 15 Let c be -7 + 12984/36*9. What is the highest common divisor of c and 41? 41 Let y = 3516 + -2644. What is the greatest common divisor of 8 and y? 8 Suppose 4*f + 3*v = 162, -4*f = -3*v - 62 - 112. What is the highest common factor of 112 and f? 14 Suppose -s - 15 - 14 = 0. Let r = s - -39. What is the highest common divisor of 25 and r? 5 Let n(g) = 29*g**3 - 8*g**2 + 9*g - 2. Let c be n(1). What is the greatest common factor of 64 and c? 4 Let j = 25 - 8. Let b = 155 + -19. What is the highest common factor of b and j? 17 Suppose -4 = -4*l - 3*g, -g = 5*l - 0*g - 16. What is the greatest common divisor of l and 12? 4 Suppose 52*b - 3*z = 47*b + 1489, 1202 = 4*b + 3*z. What is the greatest common divisor of 69 and b? 23 Suppose 5*f - k - 66 = 0, -18*f = -13*f - 4*k - 69. Calculate the highest common divisor of 3419 and f. 13 Suppose -4*b - 141 + 453 = 0. Let h be 36/(-8)*(-20)/15. What is the greatest common divisor of b and h? 6 Let v = 644 + -548. Calculate the highest common divisor of v and 336. 48 Let i be 5 + 45 + (-1)/(-1). Suppose -u + i = 7. Calculate the greatest common divisor of u and 11. 11 Let w(c) be the second derivative of c**3/3 - 4*c**2 - c. Let t be w(6). Let r = -9489 - -9521. Calculate the highest common divisor of r and t. 4 Let o(q) = -150*q**3 - q**2 - 2*q - 1. Let p be o(-1). Let b be (-4)/(-10)*p/1. Let n = -21 + 36. What is the highest common factor of n and b? 15 Let s(x) = -x**3 + 5*x**2 - x + 3. Let r be s(5). Let l be (-14)/(-5) - r/10. Let b be (-42)/(-2) - (4 - l). Calculate the highest common divisor of b and 5. 5 Suppose 0 = -h - 11 + 35. Suppose -h = -3*p + 369. Suppose -29 - p = -2*o + 5*z, -o - z + 66 = 0. Calculate the greatest common divisor of 28 and o. 14 Suppose -18*g = 32*g - 38*g - 432. Suppose 0 = -2*b + 3*b - 90. What is the highest common divisor of g and b? 18 Suppose 2*g + n = -2, 3*n + 2*n + 4 = -4*g. Let z = -1 - g. Suppose z = 4*c + 3*f - 32 + 5, -4*c + 7 = -f. What is the greatest common divisor of 9 and c? 3 Let f be (-3)/((-18)/4)*36. Let v = -8 + f. Suppose 2*u + u + 16 = 4*y, -4*y - u + v = 0. Calculate the highest common divisor of 28 and y. 4 Let b(q) = -23*q + 3. Let t be b(4). Let h = t + 159. Calculate the highest common factor of h and 10. 10 Let p(m) = -m**3 + 4*m**2 + 7*m + 8. Suppose -6*v = -v + 15. Let r be p(v). What is the greatest common divisor of r and 10? 10 Suppose 224 + 456 = 5*v. Calculate the greatest common divisor of v and 34. 34 Suppose -50 = -4*n - n. Let f be (7 + 0)/(1/n). Let y(w) = 29*w**2 - 2*w + 1. Let z be y(1). What is the highest common divisor of z and f? 14 Let g(b) = 24*b - 3. Let s be g(2
{ "pile_set_name": "DM Mathematics" }
(-720)/(1 + (875/190)/(-5)). Round v to the nearest 1000. -9000 Suppose 0 = -r + 1 + 2. Suppose 0*c + r*c = 138. Round c to the nearest ten. 50 Let d be (-521)/(-5) + (-28)/140. Round d to the nearest 10. 100 Let r(i) be the second derivative of -31*i**4/12 + 2*i**3/3 - i**2 - 2*i. Let o be r(3). Let j = 669 + o. Round j to the nearest one hundred. 400 Suppose 1768 = -b - 3*o, -b = b + 4*o + 3544. What is b rounded to the nearest 100? -1800 Let i = -0.021 - -0.0051. What is i rounded to 3 decimal places? -0.016 Let x = -2.56 + 3.3. Let v = x + -0.740081. What is v rounded to five decimal places? -0.00008 Let o = 30 + -29.74. Let j = o - 0.3. Let u = j - -0.040024. What is u rounded to five decimal places? 0.00002 Let k = -0.888 + -0.032. What is k rounded to one decimal place? -0.9 Suppose 0*r - 105 = -5*r. Round r to the nearest ten. 20 Let c = 2213948 - 813948. Round c to the nearest 1000000. 1000000 Suppose -5*j + 38 = -22. Let p = j - -585. Suppose -p = -2*m + 7*m + 3*v, -v = 4*m + 479. What is m rounded to the nearest one hundred? -100 Suppose 0 = -2*q + 90 - 22. Suppose 0*n + n = q. Suppose -n = p + 2*t, -4*p + 3*t - t = 116. What is p rounded to the nearest ten? -30 Let z(i) = 20*i**3 - 3*i**2 - 11*i - 10. Let d be z(-10). What is d rounded to the nearest 1000? -20000 Let y be 3*(-1 + 2 + 1). Let d be 1364995 + 0*(-3)/y. Let g = d + -934995. Round g to the nearest 100000. 400000 Let t be (-36)/21 + (-2)/7. Let o be 1*70001 + 1 + t. What is o rounded to the nearest ten thousand? 70000 Let v be ((-3)/(-2))/((-3)/(-4)). Let g be 0 + (-1 - (-1 + v)). Let h be ((-825)/g)/((-1)/160). Round h to the nearest 10000. -70000 Let i = 69867 + -17714. Suppose 0 = 4*g - l - i, l + 26077 = g + g. Suppose 5*y - 31972 = -5*c + g, -4*c + 9008 = y. What is y rounded to the nearest 1000? 9000 Let k = -153.999998875 + 154. What is k rounded to seven decimal places? 0.0000011 Let z be (3065/15 - 1)*30. Round z to the nearest one thousand. 6000 Let m = -93.2 + 70. What is m rounded to the nearest integer? -23 Let z = -8.2 - -7. Round z to one dp. -1.2 Let o = 0.052645 - 0.053. What is o rounded to 5 decimal places? -0.00036 Let k = 2.61 - 0.21. Let o = k - 6. Round o to zero decimal places. -4 Let s(i) = -62604*i - 20. Let c be s(-5). Round c to the nearest 10000. 310000 Let v = 692066 - 252073. Let c = -440041.0062 + v. Let f = c + 48. What is f rounded to three decimal places? -0.006 Let n = 10 - 21. Let y = -1.2 - n. Round y to the nearest integer. 10 Let j(m) = 2*m**2 - 8*m - 4. Let h be j(9). Let o = h + -356. Round o to the nearest one hundred. -300 Suppose 2*h - h = 2. Suppose -h*b + 977915 = -1822085. Round b to the nearest 1000000. 1000000 Let j = 21676 + -21694.711. Let y = j - -18.8. Round y to two decimal places. 0.09 Let v = 0.8 + -0.5. Let q = -8.3 + v. Let c = -4.8 - q. Round c to the nearest integer. 3 Let o be ((-2)/4)/(1/2). Let y(h) = -h - 10 + 1019*h**2 + 10. Let a be y(o). Round a to the nearest 100. 1000 Let d be 177/9 + 2/(-3). Suppose v = -6 - d. Round v to the nearest ten. -30 Let d = -0.18 + 0.11. Let z = 0.0712 + d. What is z rounded to 3 decimal places? 0.001 Let r = -4064 + 4062.8958. Let d = 1.1 + r. What is d rounded to 3 dps? -0.004 Let v(l) = -11765*l + 18. Let a be v(12). Let h = a - -56162. What is h rounded to the nearest ten thousand? -90000 Let x be 3*(2 - (-2 - -3)). Suppose -x*j = 2*j - 10. Suppose -3*q - 2900016 = -2*q + 4*u, -3*q = -j*u + 8699992. Round q to the nearest one million. -3000000 Let y = 1 - -4.1. Round y to the nearest ten. 10 Let r = 14.45 + -14. What is r rounded to 1 decimal place? 0.5 Let z(t) = t**3 + 2*t**2 - 9*t + 8. Let l be z(6). Suppose 0 = 2*s + 5*d + 343, -4*s - l - 474 = 4*d. Let r = s + 45184. Round r to the nearest ten thousand. 50000 Let h = 0.0109 + -0.2779. Let m = 0.145 + h. Let a = -0.708 + m. What is a rounded to 1 decimal place? -0.8 Let a be (24/20)/(1/5). Suppose 0 = 3*z - a - 9. Suppose 0 = r - z*d - 92025, r + 2*d = 2*r - 92010. Round r to the nearest 10000. 90000 Let n be ((-1)/3)/(2/(-6)). Let i = 1 - n. Suppose -2*r + r - 114 = i. What is r rounded to the nearest 10? -110 Let z be (-3)/(-6)*(3 - 3). Suppose d - 5*s + z = 3, s + 2 = 0. Let i(g) = -96*g**2 - 2*g - 10. Let q be i(d). What is q rounded to the nearest one thousand? -5000 Let u = 179.99999868 - 180. Round u to six dps. -0.000001 Let i = 26 - 25.81. Let v = i - 0.25. What is v rounded to one dp? -0.1 Let a(o) = 168*o**3 - o**2 + o. Let v be a(1). Let p = v - 7. Round p to the nearest ten. 160 Let m = 197.2 + -27.2. Let k = m + 55. Let c = k - 224.99999859. Round c to seven decimal places. 0.0000014 Let l = -15 + -8. Let f = -23.018 - l. Round f to 3 dps. -0.018 Let f = -98 + 95.0032. Let x = -2 - 1. Let n = f - x. Round n to 3 dps. 0.003 Let l(p) be the third derivative of -733*p**5/60 - p**3/2 + 7*p**2. Let n be l(3). What is n rounded to the nearest 1000? -7000 Let x = 0.12 + -1.12. Let v = 0.1 + x. Round v to 1 decimal place. -0.9 Let j = 42.000001 - 42. What is j rounded to 7 dps? 0.000001 Let g = -17811 - -45325. Suppose 2012486 = -3*b - g. Round b to the nearest 100000. -700000 Let k be (1407/(-14))/((-1)/(-2)). Round k to the nearest ten. -200 Let r = -0.044 + 0.085. What is r rounded to 2 decimal places? 0.04 Let c = -38 - 228. Let w = c + 262.22. Let v = -0.08 - w. What is v rounded to the nearest integer? 4 Let n(u) = 8 + 2*u - 3*u + 4. Let m be n(10). Suppose -230002 = -f + l, -460008 = -2*f - m*l + 6*l. What is f rounded to the nearest one hundred thousand? 200000 Suppose -445000 = 4*f - 9*f. Round f to the nearest ten thousand. 90000 Let u = 12.936 + -13. What is u rounded to 2 dps? -0.06 Let x be (0/(1 + 0))/2 + 308240. Suppose -f + z = -191755, 2*f - 3*z = 5*f - 575295. Let j = f + x. What is j rounded to the nearest one hundred thousand? 500000 Let t = -129.79 - -131. Round t to 1 dp. 1.2 Let z = -23 + -27. Let w = -12239322.99969 - -12239273. Let g = w - z. Round g to four dps. 0.0003 Let g = 198 - 197.877. What is g rounded to 2 decimal places? 0.12 Let r = -0.21 - 1.39. Let l = r - -7.6. Let v = 5.9999922 - l. What is v rounded to six dps? -0.000008 Suppose n - 4398 = -5*w, -4*n + 80 = -4*w + 3608. What is w rounded to the nearest 100? 900 Let i = -144.78 + 140. What is i rounded to the nearest integer? -5 Let n(x) = -88*x + 8. Let m be 0 + (-9 - (1 + -1)). Let j be n(m). Round j to the nearest 1000. 1000 Let l = -0.157 - 0.005. What is l rounded to 2 dps? -0.16 Let v(n) = -n + 760000. Let y be v(0). What is y rounded to the nearest one hundred thousand? 800000 Let g(a) = 3*a - 21. Let l be g(14). Round l to the nearest integer. 21 Let v = 8.28 + -7. Let m = v + -3.8. Let s = 2.9 + m. What is s rounded to 1 dp? 0.4 Let h = -28.6 - -28.600000914. What is h rounded to 7 decimal places? 0.0000009 Let j = -12.699897 - -12.7. Round j to 5 dps. 0.0001 Let t(z) = 1219*z - 2. Let x be t(-1). Let s = -541 - x. Round s to the nearest one hundred. 700 Let h = 0.86688 + -0.87. What is h rounded to three dps? -0.003 Let d = 36.17 + -36. Let f = -32 - -33.22. Let q = f - d. Round q to one decimal place. 1.1 Let y = -50 + 50.047. Let k = y + -0.787. Round k to one dp. -0.7 Let y = -71.51 - -71. What is y rounded to 1 decimal place? -0.5 Let v(u) = -3*u - 7. Let g be v(9). Round g to the nearest ten. -30 Suppose -4*a = -194549 - 97451. What is a rounded to the nearest ten thousand? 70000 Let z be 3505/2 + 1/(-2). Suppose 4*w - 2332 = -4*h - 0*w, -3*h - 4*w = -z. What is h rounded to the nearest one hundred? 600 Let y = -112.65 - -2.65. Let s = 4681 + -4570.33. Let k = y + s. Round k to one decimal place. 0.7 Let s = 0.428 - 0.39. What is s rounded to 2 decimal places? 0.04 Let c = 0.0788 - 0.1. Round c to 3 decimal places. -0.021 Let v = -0.9 - -4.9. Let x = -3.1693978 - -7.1693972. Let l = x - v. Round l to six dps. -0.000001 Let z = -6398279.99804 - -6398396. Let s = z + -116. What is s rounded to four dps? 0.002 Let v = -65.351 - 0.049. Let t = v - -5.4. Let j = t - -60.074. What is j rounded to 2 dps? 0.07 Let r = 4.2 - 39.2. Let a = r + 35.00033. Round a to 4 decimal places. 0.0003 Let o be 3/5 + (-319997)/(-5). Round o to the nearest ten thousand. 60000 Let p = -2 + 1. Let b = p + 3.5. Let v = b - -2.1.
{ "pile_set_name": "DM Mathematics" }
4*n, 2*n + 246 = 2*u. Is 4 a factor of u? True Suppose s = -5*r + 468 + 197, 526 = 4*r + 2*s. Does 6 divide r? False Suppose 21*k - 22*k = -40. Suppose y + 3*c - 8 - k = 0, 3*c - 3 = 0. Is y a multiple of 10? False Let i(r) = r**2 - 6*r. Let n be i(6). Let a = 1 + 0. Suppose n = -k + a + 14. Does 9 divide k? False Suppose -5*a + 144 + 196 = 0. Let f be (-3)/(1/(a/(-4))). Suppose -3*t = -3*s - 0*t + f, -15 = -3*t. Is 12 a factor of s? False Suppose 3 = p - 2*z + 11, 0 = 5*p - 4*z + 22. Let g(b) = -5*b - 4. Is g(p) even? True Suppose -8*j + 57 = -863. Is 23 a factor of j? True Let k = 56 - 101. Let x = -20 - k. Is 1/(-5) + 380/x a multiple of 3? True Let q(i) = i**2 + 16*i - 9. Let v be q(-16). Let k(n) = -n**3 - 8*n**2 + 8*n + 1. Is 7 a factor of k(v)? False Let d(v) = -6*v - 3. Let x be d(-18). Let t = x + -84. Does 3 divide t? True Let n(r) = 1079*r - 110. Does 89 divide n(2)? False Suppose -a = -6*p + 5*p - 457, 5*a = 2*p + 2294. Is a a multiple of 20? True Let q(s) = 107*s**2 - 10*s + 21. Is 36 a factor of q(4)? False Let m be (-123)/(-12) + 1/(-4). Let g(b) = 21*b - 14. Let i be g(m). Suppose 2*o = -2*o + i. Does 27 divide o? False Let r = -179 + 996. Does 14 divide r? False Suppose -3*s + 4*s - 9 = 0. Let h be (s - (-1 - -3)) + -3. Suppose -h*a = -4*y - 47 - 133, -2*y + 156 = 4*a. Is 18 a factor of a? False Let g = 62 - 20. Let u = 4 + g. Is u a multiple of 6? False Suppose -5*a + 11*a = 102. Is 5 a factor of a? False Let b be 10 - (1 + -13)/(-3). Suppose -373 = -b*n - 13. Is n a multiple of 5? True Suppose 3*c - 345 = t - 635, 2*c + 580 = 2*t. Is t a multiple of 6? False Suppose m + v = 4*m - 10, -4*v = -4*m. Suppose 5 = -5*d + 20. Suppose p + 5*u - 56 = u, -m*p = -d*u - 165. Is p a multiple of 10? False Let s(i) = 11*i**2 + 21*i - 3. Let u be s(-6). Suppose -7*k + u = -2*k + f, f = -3. Does 6 divide k? True Suppose -190*y - 54396 = -226*y. Is 47 a factor of y? False Suppose -40 = 4*x + 4*k, 5*x + 0*k = 4*k - 77. Let s = -37 - x. Is (-45)/2*s/9 a multiple of 20? True Let s be (-2)/18 + 6180/(-27). Let o = -155 - s. Is o a multiple of 37? True Suppose q = 2*q. Suppose q = b + 3*k - 48, k = b - 0*k - 40. Does 6 divide b? True Let g be (3/6)/(3/(-30)). Let h(n) = -n**3 - 5*n**2 - 2*n - 7. Let b be h(g). Suppose b*r - 4 - 20 = 0. Is 8 a factor of r? True Let h = 1 - 0. Let k(a) = 23*a - 5. Let l(c) = -90*c + 18. Let r(x) = -22*k(x) - 6*l(x). Is r(h) a multiple of 18? True Let i(j) = j + 3. Let h be i(2). Suppose -r = r + 3*f - 3, 0 = h*r + f - 27. Let q = r + 4. Is 3 a factor of q? False Suppose -d + 64 = 5*t, t = -56*d + 51*d + 416. Is d a multiple of 6? True Let g(j) = 14*j**3 - 5*j**2 + 1. Let b(c) = -15*c**3 + 4*c**2 - 1. Let n(o) = 3*b(o) + 2*g(o). Is n(-1) a multiple of 10? False Suppose -12*l - 25536 = -44*l. Is 21 a factor of l? True Suppose -4*d = -3*s + 2 + 2, 3*d + 4*s = 22. Suppose 0 = -3*x - d*x - 3*f + 1070, 2*x - 439 = f. Does 17 divide x? False Suppose k + 18 = 3*r, r - 6 = -0*k - k. Does 11 divide (-9)/(81/(-1680)) + 2/r? True Suppose 12 = -4*l, 2*h = l - 0*l - 5. Let y be (2/h)/(2/(-60)). Suppose 3*i - c - 124 + y = 0, 5*i + 3*c = 177. Does 15 divide i? False Let r(s) = 7*s**2 - 4*s**2 + 3*s**3 + 0*s - 1 - s. Let k be r(2). Is 260/22 - (-6)/k a multiple of 12? True Let u(x) = 2*x**2 + 2*x - 3. Let y be u(-3). Suppose -y*s + 6*s = -51. Suppose -3*v + 28 = -s. Is v a multiple of 10? False Let d = 2 - -2. Suppose 0*v = 3*q + 4*v - 68, d*q + 3*v - 79 = 0. Is q a multiple of 3? False Suppose -2 = -8*x - 10. Let l(r) = -64*r. Does 24 divide l(x)? False Let c(x) = -x**2 + 9*x + 11. Let a = 19 + 0. Suppose k = u - a + 5, u + 4*k = -11. Is 3 a factor of c(u)? False Let k(u) = u**3 + 4*u**2 + 2*u + 2. Let p be k(-5). Does 36 divide p/(((-252)/88 - -3)*-1)? False Let k = -5 + 234. Suppose 3*r = -15, 0 = -5*s - r + 396 + k. Suppose 2*q - 3*y = 5*q - 99, 0 = -4*q - 2*y + s. Is q a multiple of 10? True Let b(k) = -k - 1. Let t be b(-4). Suppose t*s - 47 = 2*y - 14, -y = 3. Suppose -2*w = 1 - s. Is 2 a factor of w? True Suppose -58 - 96 = -2*l. Suppose 4*v - v - g = 347, -4*v + 460 = -2*g. Let r = v - l. Is 18 a factor of r? False Let u be (1 + 2)*(-40)/(-15). Suppose -u*z + 3*z + 165 = 0. Is z a multiple of 11? True Let g(t) = 3*t**2 + t + 2. Let i be 3/(4/(-16)*-4). Does 8 divide g(i)? True Suppose -5*j + 5*r = -3110, j + 5*r - 1279 = -j. Is 39 a factor of j/2 - (-3)/(-2)? True Let b = 180 - 76. Suppose 7*a = 38*a - 124. Suppose -5*m + 22 = -0*u + u, -4*u + b = a*m. Is u a multiple of 11? False Let c = 249 + -45. Suppose 2*j = -j + c. Is 13 a factor of j - (6/1 + -4)? False Suppose 0 = 4*k + 2*l - 0 - 10, -14 = -3*k + 5*l. Is ((-1)/(-1))/(k/(-750)*-2) a multiple of 25? True Let r = 46 - 31. Suppose u - 30 = r. Is 20 a factor of u? False Is 29 a factor of (7 + 21)/((-6)/(-261))? True Let n = -269 + 607. Suppose 0 = 11*i - 9*i - n. Does 13 divide i? True Let u(o) = 2*o + 4. Suppose 0 = 2*k - 8 + 2. Let q be u(k). Let b = 40 - q. Does 7 divide b? False Let f = 14 - -104. Suppose 5*r - 3*y - 218 = -y, 3*r - f = -2*y. Is r a multiple of 7? True Suppose 3*d = 36 + 21. Let k = d + 98. Is k a multiple of 9? True Suppose r = 3*q + 8, -2*r + 0*q + 12 = -4*q. Suppose 5*u - r*v = -36 + 511, 3*v - 112 = -u. Does 24 divide u? False Suppose -h + 2 = -8. Let a = 310 + -176. Suppose -5*y + h = m, 4*y - a = -5*m - 0*y. Is m a multiple of 10? True Let p(f) = -204*f**3. Does 34 divide p(-1)? True Suppose 3*k - 104*h = -103*h + 650, 2*k - 435 = h. Does 49 divide k? False Let c(s) = 342*s - 5. Let t(n) = n**3 - 3*n**2 + 3*n - 1. Let r be t(2). Is 20 a factor of c(r)? False Let u be (5 + -5)/(14/7 + -3). Let x(l) = -l + 4. Let d be x(2). Suppose -d*a + 28 = -u*a. Does 10 divide a? False Let a = -80 + 100. Let y = 82 + a. Does 17 divide y? True Suppose 7*i = 322 + 224. Is 26 a factor of i? True Suppose 3*i + 28 = 4*g - 75, -5*g - 2*i = -100. Does 3 divide g? False Suppose 4*a = -25*a + 7685. Is 6 a factor of a? False Let k be 3/((21/(-2))/(-7)). Does 3 divide 5 + ((-8)/(-4))/k? True Suppose -64*b + 10304 = -8*b. Is b a multiple of 8? True Let y(p) be the first derivative of -2*p**3/3 + p**2/2 + 82*p + 25. Does 7 divide y(0)? False Suppose 5*m + 5*v - 840 = 0, 7*m - 3*m + 2*v - 672 = 0. Is 42 a factor of m? True Suppose 20*n + 92 = s + 17*n, -3*n = s - 92. Is s a multiple of 7? False Let g(o) = -o**3 - 5*o**2 - 5*o - 1. Suppose m + s - 2 = 0, -5*m = -0*s - 2*s + 4. Suppose 1 = -u, m*u + 5*u = 2*z + 3. Is g(z) a multiple of 2? False Let t = 3434 - 2450. Does 41 divide t? True Is 13/(-143) - (-54)/(-11) - -2732 a multiple of 30? False Let h(m) = -161*m - 299. Does 29 divide h(-6)? True Let i = 39 - 36. Suppose 0 = -i*c + 2*c + 31. Does 7 divide c? False Is 44 a factor of ((-12)/(-5))/(-6)*-1525? False Suppose y = -2, -4*y = 45*x - 43*x - 84. Is 15 a factor of x? False Let b be 44/8 + (3 - (-5)/(-2)). Suppose -2*s + b*s = -r + 56, -4*r - 16 = 0. Is s a multiple of 3? True Suppose -5*z = -p + 928, -2423 = -5*p + 5*z + 2297. Is 33 a factor of p? False Let u = -288 - -985. Is u a multiple of 5? False Suppose -2*d = -82 - 658. Does 10 divide d? True Let o = -4 - 1. Is 21 a factor of ((-462)/55)/(1/o)? True Let j(q) = q**3 - 14*q**2 + 3*q + 10. Suppose -3*y = y + 4*u - 48, 0 = -5*y - 2*u + 66. Let p be j(y). Suppose 5*s = 138 + p. Is 19 a factor of s? True Is 10 a factor of 72/96 - 557/(-4)? True Let y = 781 + -359. Is y a multiple of 14? False Let m(d) = 5*d + 3. Let v be m(-1). Is 9 a factor of ((-25)/(-10) + v)*42? False Suppose -4*l + 12 = -l. Let i be (l/(-10))/((-1)/(-5)). Is 5/(15/198) - i a multiple of 17? True Let m(z) = z**2 + 50*z - 401. Is 15 a factor of m(-61)? True Let u(y) = -9*y - 10. Let i be 264/(-30) - (-3)/(-15). Let o be u(i). Suppose 177 + o = 4*r. Does 14 divide r? False Suppose -5*p = -3*n - 0*n + 1234, 0 = -4*n - 3*p + 1655. Is 14 a factor of n? False Let b = 55 - 27. Suppose b - 15 = h. Is h a multiple of 5? False Suppose 4*f = -x - 10, -f - 4*f - 15 = 0. Is 2 a factor of x/(-6)*4/((-8)/54)? False Let x = 52 + -58. Is (352/(-12) + 0)*x a multiple of 16? True Let v be 9/(-3) - (-4)/(12/(-9)). Let t(x) = -19*x + 14. Is t(v) a multiple of 23? False Suppose -2*h - 10 = 0, -2*j + 2*h = 6*h - 72. Let t = -110 - -70. Let f = t + j. Is f even? Tr
{ "pile_set_name": "DM Mathematics" }
pose -2*d = t - 26, -3*d + 12 - 77 = -5*t. Calculate the highest common factor of t and 5. 1 Suppose -2*h + 30 = 2*z - 24, -h = -z + 21. Let i = z - 34. Let a be (-2*2)/(i/25). Calculate the greatest common factor of 10 and a. 10 Let a = 207 + -109. Suppose 11*t + 3*t = a. Calculate the greatest common factor of 56 and t. 7 Suppose -9*f = 3*f - 180. What is the greatest common divisor of f and 120? 15 Let u(d) = -6*d - 9. Let i be u(-6). Suppose 2*c + 0 = 44. Suppose -g + i = -c. What is the highest common divisor of 7 and g? 7 Let i(x) be the third derivative of x**5/60 + 8*x**3/3 - 5*x**2. Let o be i(0). Let a = o + 2. What is the highest common factor of a and 72? 18 Suppose -5*w + 170 = 2*s, -4*s + 136 = -4*w - 232. Calculate the highest common divisor of 495 and s. 45 Let q = -2 - 2. Let t = 12 - q. Suppose -5*r = -5*w + 5, 0 = -6*r + 2*r + t. What is the highest common factor of w and 45? 5 Suppose 9*o - 350 + 134 = 0. Let m(k) = -k**2 + 6. Let d be m(0). Calculate the greatest common factor of d and o. 6 Let v = 788 - 730. What is the highest common divisor of v and 1421? 29 Let p be 120/(-84)*(-56)/5. Suppose 0*g - 8 = -2*g. Calculate the highest common divisor of p and g. 4 Suppose 0 = d - 5 - 14. Let f = d + 8. Suppose 2*m - 4041 + 4035 = 0. What is the greatest common divisor of m and f? 3 Suppose 163*p = 162*p + 22. Let i be (0/1)/(-1 - -3). Suppose i*y + 5*y = 10. Calculate the greatest common divisor of y and p. 2 Let b(q) = -q - 14. Let l be b(-20). Let h = 21 - l. Calculate the highest common factor of h and 15. 15 Let a(o) = 3*o**2 + 4*o + 5. Let v be a(-1). Suppose -3*c = 2*c - 80. What is the greatest common factor of c and v? 4 Let s = 444 - 365. Calculate the greatest common divisor of s and 1. 1 Let m be ((-6)/8)/((-1)/(-4)). Let l be (m - 9/(-5))*-30. What is the highest common factor of l and 90? 18 Suppose 0 = -l + 3*h + 35, 15*l - 5*h + 75 = 16*l. Calculate the highest common factor of 100 and l. 50 Let g(n) = -n - 7. Suppose 4*f + 30 = -f. Let z be g(f). Let d be -2*(z/1 - 24). Calculate the greatest common factor of 125 and d. 25 Let m be ((-2)/3)/(3/(-9)). Suppose -6 = -m*s + 26. Suppose -3*v = 2*z - s - 7, -z = -4*v + 5. What is the highest common factor of z and 56? 7 Suppose -s = 3*a - 56, 0*a + 5*a - 2*s - 97 = 0. Suppose l + a = 5. Let r be l/(-56) - 934/(-8). What is the greatest common factor of r and 13? 13 Let a = -390 - -399. What is the highest common factor of 1359 and a? 9 Suppose -25 = -3*c + 20. Suppose -m = -t - 11, 5*m + t - c = 10. Suppose -4*y + n - m*n = -25, y - 4 = -2*n. Calculate the highest common factor of 110 and y. 10 Suppose -9*x + 4462 - 3994 = 0. Calculate the highest common divisor of x and 143. 13 Let s = 214 + -78. Calculate the highest common factor of s and 34. 34 Let p be (-6)/(-27)*3*(-7 - -10). Let l be (((-24)/(-10))/p)/(24/420). What is the highest common divisor of 6 and l? 3 Let r(l) = l**3 - 3*l**2 - 9*l + 13. Let v be r(5). What is the greatest common factor of 63 and v? 9 Let s(n) = -5*n - 9. Let x(d) = 2*d + 8. Let a be x(-6). Let k be (-4)/a + (-6)/1. Let y be s(k). What is the highest common factor of y and 24? 8 Let j(v) = v - 16. Let s(i) = 2*i - 33. Let x(n) = -7*j(n) + 3*s(n). Let t be x(-7). Calculate the greatest common divisor of t and 60. 20 Suppose 45*b = -12*b + 1140. Suppose 5*p = -5 - 5. Let x be -8*(-1 + 0/p). Calculate the greatest common factor of x and b. 4 Let j be -570*(7 - ((-225)/(-10))/3). Suppose -g = -2*g + 15. What is the greatest common divisor of g and j? 15 Suppose 0*b - 5*b - 64 = 4*v, 0 = 5*v - 4*b + 39. Let i = v - -36. Let s be (3516/8)/(5/2) - 120/150. Calculate the highest common divisor of s and i. 25 Suppose 0*b - 4*b - 76 = 0. Let c = b - -21. What is the greatest common divisor of 18 and c? 2 Let r be (2/(-6))/((-3)/306). Suppose -2*k - 2*g - 2*g = -98, -2*k = -4*g - 106. What is the highest common divisor of k and r? 17 Suppose 4*u - 2 = c, 9 = -c + 6*c - u. Suppose 3*x = -0*x - c*s + 44, -3*x + 28 = -2*s. Let f be 9/(-6)*(-16)/x. What is the greatest common factor of 16 and f? 2 Let r be 4/16*(-5)/((-5)/12). Let x = -18 - -33. Suppose 2*v - r*v - x = -3*p, -5*v = -5*p + 15. What is the greatest common divisor of p and 30? 6 Suppose 0 = k - 4*n - 254, 5*k + 7*n = 5*n + 1204. What is the greatest common divisor of k and 198? 22 Let f = 42 - 9. Suppose -p - p = -4*x + 188, -x = 3*p - f. Suppose 3*y = 4*w - w, 5*y - 2*w - 15 = 0. Calculate the greatest common divisor of x and y. 5 Let i = -90 + 185. Let g = i + -63. What is the greatest common factor of g and 4? 4 Let b(d) = -5*d - 64. Let r be b(-15). Let v = 144 - r. Calculate the highest common divisor of v and 38. 19 Let x = -19 - -21. Suppose 5*a - 4*v - 48 = 1, x*a = v + 22. Let w(t) = t**2 - 13*t + 1. Let h be w(a). Calculate the greatest common factor of h and 1. 1 Let b(f) = -f**3 + 23*f**2 + 11. Let z be b(23). Suppose 2*q - 41 = -z. Calculate the greatest common factor of q and 3. 3 Let g = -23 + 27. Let j be (g/(-8))/(1/(-256)). Let l(k) = -10*k - 8. Let w be l(-4). What is the greatest common divisor of j and w? 32 Suppose 0*b = 4*b - 20. Let i = 96 - 86. What is the greatest common factor of b and i? 5 Let f(t) = -t**3 - 25*t**2 - 32*t - 57. Let a be f(-24). What is the highest common divisor of 27 and a? 27 Let n(b) = 4*b - 128. Let p be n(33). Let i be 6/(-8)*(1 + -5). Suppose -v - p = 0, -i*k + 14 = 2*v + 1. What is the highest common divisor of k and 63? 7 Suppose -4903 = -37*g + 6419. What is the highest common factor of g and 170? 34 Suppose 0 = 4*r + h - 1447, -3*h + 197 + 151 = r. What is the highest common divisor of 99 and r? 33 Suppose 12*x + 213 = 4*c + 7*x, c - 3*x - 55 = 0. What is the greatest common divisor of c and 4? 4 Suppose 0 = l, p + 2 = -l + 12. Let z be -3*p/2*-10. What is the greatest common divisor of z and 60? 30 Let h be 3/(((-45)/12)/(-5)). Let u(g) = g**3 - 2*g**2 + 11*g - 18. Let t be u(2). What is the highest common factor of h and t? 4 Suppose -3*b + 5*c - 5 + 56 = 0, 0 = -b + c + 19. Let v be (-4 - -3)*(0 - b). Calculate the greatest common factor of v and 33. 11 Let o be (-2)/14*7 + 10. Suppose -3*s + 3*f = -900, -2*f + 809 + 670 = 5*s. Suppose 0 = -4*i + i + s. Calculate the highest common factor of o and i. 9 Suppose 4*t - 7*q + 4*q = 13682, -5*t - q = -17093. What is the greatest common divisor of 13 and t? 13 Let q(i) = -i**3 + 77. Let a(l) = l**3 - 6*l**2 - l + 6. Let x be a(6). Let g be q(x). Calculate the highest common divisor of 11 and g. 11 Let z be -1 + 2 + 4/2. Let s(g) = -g**2 + 5*g - 1. Let r be s(4). Suppose n + r*o = 12, -o - 22 = -5*n + 3*o. Calculate the highest common divisor of z and n. 3 Let w be (-1)/2*(-6 - 16346)/7. What is the highest common divisor of 16 and w? 16 Let h be (-1)/(-1) + -2 - -7. Let r = -50 + 104. Let s = r - 30. Calculate the highest common factor of h and s. 6 Let y be -4*-1*3/12. What is the highest common divisor of y and 1? 1 Let q(t) = t**3 + 6*t**2 - 5*t - 3. Let v be q(-7). Let j = v + 72. Let u be (76/5)/(22/j). Calculate the greatest common factor of 19 and u. 19 Let i be ((-4)/(-20))/(-2*(-1)/10). What is the greatest common divisor of i and 8? 1 Let z = 122 - 86. Suppose 0*a - 24 = 3*a. Let i = a - -17. What is the highest common factor of z and i? 9 Suppose 2*n - 3*a - 33 = 0, 5*n - 40 = a + 75. What is the highest common factor of n and 32? 8 Let f be (-3)/(9/(-6)) + 36 - 1. Calculate the greatest common factor of f and 1. 1 Suppose -5*w + 18*w = 130. What is the greatest common divisor of 5 and w? 5 Let f(u) = -u**3 + 16*u**2 - 23*u + 26. Let r be f(14). What is the highest common divisor of 128 and r? 32 Let c = -28 - -70. Let i(k) = 2*k**2 + 2*k - 2. Let v be i(4). Suppose -2 = 2*r, -v - 101 = -5*t - r. What is the greatest common factor of t and c? 14 Suppose -4*k = 5*l - 177, 4*k + 28*l - 29*l - 171 = 0. Calculate the greatest common divisor of k and 860. 43 Let q = 40 + -27. Let f(i) = 5*i - 76. Let u be f(23). Calculate the highest common divisor of u and q. 13 Let r be 28 - (12/2 - -3). Calculate the greatest common divisor of r and 304. 19 Let p = 237 + -8. Let x = p + -110. What is the greatest common divisor of 17 and x? 17 Suppose 0 = -5*m + 1048 + 422. Suppose -12
{ "pile_set_name": "DM Mathematics" }
be -2 - (-7)/((-441)/(-1716)). Let a = l - 18/7. Let i = a - 22. Which is smaller: 0 or i? 0 Suppose -3*p = -6*p - 5*d + 25, -2*p = d - 5. Suppose -j = 3 - 8. Let y = p - j. Is -5 at most y? True Let j be 4/6 + 14/6. Let u be -2*-2*j/150. Let n be (-7)/5 + 6/15. Which is smaller: n or u? n Suppose -4*l - 1 = -153. Suppose o - 59 = -4*g, -l + 11 = -3*g + 5*o. Let i be 6/21 - 74/g. Which is smaller: 1 or i? i Suppose 4*c + 44 = -2*p, -c + 3 = p + 3*p. Is -12 bigger than c? True Let r = -493 + 11345/23. Which is greater: r or 0? r Let a = -3423/16 + 214. Let g be (1 - (-2)/(-4))*2. Which is bigger: a or g? g Let b = -28/25 - -899/825. Let u = -23/33 - b. Are 0 and u nonequal? True Suppose 0 = -p + 3*p - 6. Let h be 0*p/(-1 + 4). Suppose h = 4*k - 5*k. Which is smaller: 0.1 or k? k Let b(x) = -x**3 - 3*x**2 - 4*x - 5. Let r be b(-2). Let h be 1 + (-1 - (-4 - 1)). Suppose -n - 4*n + 5*g = 25, -h = -2*n - 3*g. Which is greater: r or n? r Let k(i) = -3*i - 5. Let n be k(-1). Which is smaller: -17/5 or n? -17/5 Suppose 0 = 3*d - 5*h - 29 - 1, 4*h = d - 3. Suppose -2*k = -5*z - 0*z - d, -15 = -k + 5*z. Is k smaller than 2/11? True Let q be 0 - 2*(-1 + 364). Let c be q/(-2205) + (-1)/3. Let i = c - 104/245. Is i smaller than 0? True Suppose 6 - 3 = -a. Let t be ((-4)/(-36))/(a/9). Let f(l) = -l - 5. Let m be f(-4). Which is smaller: m or t? m Suppose -u - 5 + 2 = -2*c, -c + 3 = u. Suppose -c*g = 3*g - 20. Let w = g - 3. Is w < 1? False Let t be (-5)/3 + 0 + 1. Is -0.14 != t? True Let x(j) = 2*j**2 - j - 1. Let g be x(3). Let c be ((-9)/(-6))/(12/(-16)). Let n be 24/g + 0 + c. Which is greater: -1/2 or n? n Let x be (-3)/(-9) - (-24)/9. Suppose -4*c = x*h + 6, 2*h = 3*c + 7*h + 10. Let p = -3.2 - -3. Which is smaller: p or c? p Suppose -5*u = 4*h - 2 + 34, 0 = 5*h + 4*u + 31. Suppose -3*x + 6*x + 15 = 0. Is h greater than x? True Let u(k) = -k**3 - 2*k**2 - 1. Let g be u(-2). Let y be (3/48)/((-1)/(-6)). Which is smaller: y or g? g Let b = -23 - -23.2. Which is smaller: 11 or b? b Let j(g) = -g**3 + 7*g**2 + 7*g + 9. Let x(t) = -t**2 + 8*t - 4. Let n be x(6). Let d be j(n). Do 1 and d have different values? False Let p = 33.6 + -34. Is 0.1 < p? False Suppose j - 6 = -2. Suppose -2*w + j*x = -3*w + 4, 3*x + 11 = w. Let s = 5 - w. Which is greater: s or -3/2? -3/2 Let x(v) be the first derivative of 8*v**3/3 - v**2/2 + v - 2. Let k be x(1). Let q be (8/(-10))/(k/20). Is 1 at most q? False Suppose -2 = x, 3*w + 2*x + 0*x - 2 = 0. Which is greater: 24/13 or w? w Let u be 2*(-1 - 6/(-3)). Suppose 5*m + k + 3 = 0, m - u*k - 9 = k. Suppose m = 4*c - 4*f - 28, f - 7 - 14 = -3*c. Which is smaller: 6 or c? 6 Let k be (-4 - -2)/((-1)/2). Suppose 0 = -4*q + 2*q - k. Is -1 > q? True Let q = -3 - 1. Suppose -5*r - 5 + 1 = -3*m, 44 = 4*m + 3*r. Let g = -13 + m. Which is smaller: q or g? g Let t = 0.34 + -0.44. Let n be 2*((-2)/17)/2. Which is smaller: n or t? n Let y be 2/3 - (-1)/(-3). Suppose 2*f + 3*n = 48 - 11, -3*n - 48 = -3*f. Let t = 17 - f. Do t and y have the same value? False Suppose 0 = 3*z - 3*f + 27, 6 + 21 = -5*z - f. Which is greater: -0.2 or z? -0.2 Let b = 2 - 8. Let n = -7.1 + -1.9. Let x = b - n. Which is bigger: -2 or x? x Suppose -3*y + 0*y + 12 = 0. Let t = 12 - 8. Is t not equal to y? False Let n be -1*2/2*-104. Let w = 19109/3 + -6475. Let m = w + n. Which is smaller: 0 or m? m Let g(k) be the third derivative of -k**4/12 + 3*k**2. Let t be g(1). Is t < 1/7? True Let l = 0.11 + -0.13. Let v be 1/1*2/(-8). Which is bigger: l or v? l Let j be -1 + -1 + (-9)/3. Let l = j - -8. Do l and 3 have the same value? True Let t = -4 + 3. Is t > -1/25? False Suppose -2*t = 5*p - 13, 3*p + 0*t - 3*t = -9. Suppose 0*h - p = -h. Which is bigger: -5 or h? h Let n be (0 + 1)/(0 - -1). Let v be -134 - n*2/2. Let a = v + 673/5. Is 1/3 greater than a? True Let q be 24/(-344)*(-2)/(-3). Which is smaller: q or 1? q Let r(c) = -c**3 + 8*c**2 - 8*c + 6. Let v be r(7). Let z be ((v - 3)*4)/(-1). Suppose 6*q - 4*q = z. Which is smaller: q or 7? 7 Let o(a) = -a**3 + 4*a**2 - 2*a + 5. Let g be o(4). Let i(u) = -2*u**2 - 2*u. Let w be i(-3). Let d = 8 + w. Which is greater: d or g? g Let g = -0.002 - 5.098. Let z = -5 - g. Let o = -6 - -5.8. Is z > o? True Let l be 1*(2/(-1))/2. Let i = -26 - -14. Let o be i/7 - 6/21. Is o smaller than l? True Let k = -66 - -331/5. Is k bigger than 1? False Let x be 3*-3*1/(-9). Which is bigger: x or 5/7? x Let x = 0.5 + -0.5. Let w = x - -0.1. Is w at most -2/7? False Let i = -122 + 119. Is -20 at least as big as i? False Let w(s) = -4*s - 8. Let j be w(-6). Which is bigger: j or 15? j Let q(r) = -r + 4. Let n be q(4). Let w = n - -1. Let f be 2 + -5 + (-1)/w. Do f and -3 have different values? True Let p = -48 - -48. Does p = 4/69? False Let b = -5 + -5. Let o = b + 5. Let d = o + 4. Is d at least as big as 0.1? False Let q = 5 + -9. Let r = q + 4. Suppose 5*w = 4*n - 39, -6*w + 2*w + 12 = 4*n. Which is smaller: n or r? r Let o be ((-18)/(-243))/((-2)/6). Let d = -5 - -4. Which is smaller: d or o? d Let y be ((-9)/(-15))/(1/5). Suppose -4*r = -y*d - r + 3, 3*r + 3 = -4*d. Which is smaller: d or 3/4? d Let z(i) = i**2 - 5*i - 1. Let m be z(6). Suppose -29 = 2*r + 5*b, 4*r = m*b - 15 + 32. Let n = -19 - -20. Are n and r nonequal? True Let s = 64 - 42. Is 22 <= s? True Let p = -28 - -29. Let x be 1/(-36) + 0 - 0. Which is greater: p or x? p Let v = -2 + 18. Let y = -15.7 + v. Let p = -2 - -1.7. Does y = p? False Let a(j) = 2*j - 2. Let w be a(3). Let d = -6 + w. Is d <= 0? True Let h = -521/210 - 2/105. Which is smaller: h or 1? h Let r(b) = -b**3 + 5*b**2 + 2*b - 2. Let c be r(5). Let a = 16 - c. Which is greater: 9 or a? 9 Suppose s + 1 + 1 = 5*v, -3*s = -5*v - 4. Which is greater: 2 or s? s Suppose 11 = -2*n - 5*p - 12, -2*n - p = 27. Is -14 not equal to n? False Suppose 14 = 3*c - 0*u + 4*u, -c + 4 = u. Suppose 3*p = c*p. Let r = p - 0. Is r smaller than -1? False Let l be (-11)/((-7788)/496) + (-2)/3. Is 0 != l? True Let s(b) = b**3 - 3*b**2 - 5*b + 6. Let o(d) = -d**3 + 11*d**2 + 4. Let r be o(11). Let n be s(r). Which is greater: 3 or n? 3 Let u = 14/17 + -81/119. Suppose 7*l - 7 + 0 = 0. Which is smaller: l or u? u Let m be (-2 - -3)*(0 - -4). Let p be m/((-24)/(-21)) - 1. Which is greater: 2 or p? p Let z = 33907/4 - 8415. Let x = -62 + z. Which is smaller: 0 or x? x Let u be 1/3*(-1 - -7) - 1. Let h = 2/205 + 121/205. Does h = u? False Let z(b) = b**2 + 2*b + 3. Let g be z(-3). Suppose 5*a - 2*n = -23, -4*a - n - 8 = -0*n. Let q = a - -9. Is g at most q? True Let k(q) = q**3 - 6*q**2 + 5*q. Let l be k(5). Suppose 3*b + 1 = 2*a - 18, 25 = 5*a. Let m be (-1)/((15/2)/b). Which is bigger: m or l? m Let v(d) = 2*d + 3. Let b be v(-4). Let i be b/10 + (-9)/(-14). Let o be 0/((-2)/(-2 - -3)). Which is bigger: i or o? i Suppose 0*s + 5*s + 3*s = 0. Which is smaller: s or 3/22? s Suppose -4*x = -4*g - 12, -6*x + 3*g = -x - 17. Suppose 28 - 12 = x*v. Is 4 at least as big as v? True Let l = 0.6 + 3.4. Let t = 4.2 - l. Let b = t + -3.2. Which is greater: b or 1? 1 Let s(u) be the third derivative of u**4/8 - 2*u**2. Let y be s(1). Let w(i) = -i**2 + 5*i + 3. Let j be w(5). Does j = y? True Suppose -6 = -v + 4*v. Let f(i) = 2*i - 12. Let s be f(7). Suppose m = s - 3. Which is greater: v or m? m Let d = -9 + 7. Is d >= -10/13? False Suppose 5*d = 2*c + 2*d + 9, 3*d - 9 = -2*c. Let a be 0 - c - 2 - -3. Let s be a*(-1)/1*5. Is -4 at least s? True Let k = -56 + 67. Is k less than 11? False Let z(m) = 2*m + 7. Let u be z(-4). Is u >= -1? True Suppose -5 = -3*f + 1. Let z be f/9 + 92/72. Suppose 6*q - 4*q - 4 = 0. Is z at most as big as q? True Suppose 2*c - 7*c = 0. Let p(f) = f - 4. Let s be p(0). Let b be -1 + s + 4 + 0. Is b > c? False Let k(w) = w**3 + 5*w**2 + 5*w + 4. Let b be k(-4). Let p(l) = l - 4. Let c be p(b). Is -5 at most as big as c? True Suppose -12 - 13 = 5*i. Let x(b) = b**2 - 5*b + 1. Let n = 0 + 3. Let d be x(n). Is i bigger than d? False Let p(m) = m + 1. Let c be p(3). Is c less than 5? True Let w = -203 - -195.94. Let p = -7 - w. Is 1 bigger than p? True Let k(n) = -n**3 + 12*n**2 + 12*n + 13. Let w be -1*(0 - (16 - 3)). Let u be k(w). Let z(j) = -j**2 - 8*j - 6. Let c be z(-7). Which is bigger: u or c? c Let v = -35 - -1
{ "pile_set_name": "DM Mathematics" }
is o rounded to 2 dps? 0.03 Let c(m) = 14999*m + 3. Let p be c(3). Round p to the nearest ten thousand. 50000 Let b = 8.6 + -8.5905. What is b rounded to three dps? 0.01 Let n = -18 - -17.99943. What is n rounded to 4 decimal places? -0.0006 Suppose -5*m + 16 = -y - y, -22 = -3*m - 5*y. Suppose 0 = -3*t - m*c - 30000, 3*t + 30000 = -3*c + c. What is t rounded to the nearest 10000? -10000 Let g = -403.9454 + -0.0546. Let w = g - -455.8. Let f = 63 - w. Round f to the nearest integer. 11 Let s = -73.94 + 71. Let j = -0.76 + s. Round j to 0 decimal places. -4 Let c = -0.81 - -0.638. Let p = -0.09 - c. Round p to 2 decimal places. 0.08 Let r = 53.1 - 47. What is r rounded to zero dps? 6 Let d(m) = -45542*m**3 - 2*m**2 - 4*m. Let x be d(-9). Suppose 4*n - x = -3*y + y, -2*n = 4*y - 16599984. What is n rounded to the nearest one million? 8000000 Let l = 1.64781 - 1.65. What is l rounded to 4 dps? -0.0022 Let q = -0.885 - -0.9. Let k = q + -0.245. Let t = -0.23000057 - k. Round t to seven decimal places. -0.0000006 Suppose 2*f + 2 = 2*s - 0*f, 5*f - 45 = -5*s. Let c be 86*(-2 + s/2). Round c to the nearest ten. 40 Let b(q) = -q**3 - q + 8100. Suppose -a + 1 = -0*a. Let f = -1 + a. Let r be b(f). Round r to the nearest one thousand. 8000 Suppose -1 = -3*j - 2*g, -9 = -2*j - 2*j + 5*g. Let s(p) = 1 - 1713*p + j - 1721*p. Let w be s(3). Round w to the nearest 1000. -10000 Let u = -41.26 - -42. Let r = u - 0.9. Let z = -0.29 - r. Round z to 1 dp. -0.1 Let p = 4 + -4.38. Let k = p - -0.3800031. Round k to six decimal places. 0.000003 Let f = -23.237 + 0.037. Let k = -0.2 - f. Let b = k - 23.0000041. What is b rounded to six dps? -0.000004 Let x = 4.6 + 43.4. Let d = 86 - x. Let o = -42.2 + d. Round o to zero decimal places. -4 Let t = 2033 + -1372. Let z = -676.35 + t. Let u = z - -15. Round u to one dp. -0.4 Let k = -9231 - -125231. What is k rounded to the nearest ten thousand? 120000 Let v = 7.05 + -7. Let g = v + -0.04982. Round g to four decimal places. 0.0002 Let c = -42635 + 17635. What is c rounded to the nearest ten thousand? -30000 Let n = -1.9 - -1.90125. What is n rounded to 4 dps? 0.0013 Let a = 39.663 + -39.9. Let i = -0.23700133 - a. Round i to 7 decimal places. -0.0000013 Let x = 0.26062 + -0.26. What is x rounded to 4 decimal places? 0.0006 Suppose 4*d - 3073 - 6327 = 0. Suppose 3*f = 5*f - d. Let t be (-39 + -1)/((-1)/f). Round t to the nearest ten thousand. 50000 Let v = -105.4 - -12.4. Let b = v - -92.999911. Round b to five dps. -0.00009 Let m = 0.46 - 0.46000183. Round m to 7 decimal places. -0.0000018 Let x = -0.074 + 50.074. Let m = x - 50.000021. Round m to five dps. -0.00002 Let g be (-2 + 238/(-6))*(-26345 - -17). What is g rounded to the nearest 100000? 1100000 Let i = -1 + 1.2. Let o = i + -0.26. Let g = o - -1.86. What is g rounded to the nearest integer? 2 Suppose 3*h - 3*p = -909, 4*h = -3*p + p - 1236. Round h to the nearest 10. -310 Let m = -3.06 - -2.6. Let q = m - -0.5. What is q rounded to one decimal place? 0 Let v = -3 - 10. Round v to the nearest ten. -10 Let w = 12.78 + 0.22. Let g = 12.9999999 - w. What is g rounded to 7 decimal places? -0.0000001 Let l = -90.06 - -141.77. Let n = l + -52. Let c = n + 0.29033. What is c rounded to 4 decimal places? 0.0003 Suppose 12*p - 19620 = 3*p. Round p to the nearest one hundred. 2200 Let g = 75129068.0000083 - 75129003. Let l = 1.53 - -63.47. Let x = g - l. Round x to six dps. 0.000008 Let i = 168833.411 - 168807.4110006. Let w = 26 - i. Round w to 7 decimal places. 0.0000006 Let j = -0.35 - -0.05. Let r = j + 0.2988. Round r to 3 decimal places. -0.001 Let o = 0.19 - 0.1455. What is o rounded to 3 dps? 0.045 Let w = -1562188 - -1562175.999991. Let c = -12 - w. Round c to six dps. 0.000009 Let f = 49 + -94. Let j = f - -44.99999796. Round j to seven dps. -0.000002 Let f be (-5 - 5)/((-4)/(-6)). Let k = -7 - f. Let t(v) = 10*v**2 - v - 2. Let d be t(k). Round d to the nearest one hundred. 600 Suppose -2*n + 3*n - 5 = 0. Let t be -2 - (-2 + 1) - -29500003. Suppose -g - t = n*p + g, 0 = 5*p - 2*g + 29499998. What is p rounded to the nearest 1000000? -6000000 Let t = 184105084103 - 184105872454.40047. Let w = 788345 + t. Let q = w + 6.4. What is q rounded to four dps? -0.0005 Let v = -0.325 - 0.085. Let l = -0.5 - v. What is l rounded to two dps? -0.09 Let x = -1.13034 - -0.7869. Let u = x - -0.513. Let y = u + -0.17. Round y to 4 decimal places. -0.0004 Let r = 50 - 33. Let q = r - 17.0000104. What is q rounded to 6 decimal places? -0.00001 Let c = 0.31 + 20.69. Let b = c + -21.0026. What is b rounded to 3 dps? -0.003 Let g be (-12)/18 + 97166/3. Suppose -4*i = -g - 27612. What is i rounded to the nearest 10000? 20000 Suppose 0 = -2*p + p + 5. Suppose 2*z - 11590 = 4*d, -p*d - 11625 = -d + 5*z. What is d rounded to the nearest 1000? -3000 Let l(x) = -x**3 - 9*x**2 - 2*x - 13. Let q = -22 + 13. Let z be l(q). Suppose -4*j + 3 + z = 0, -2*p = j - 126002. Round p to the nearest ten thousand. 60000 Let q = 0.04 + -2.04. Let r = 2 + q. Let m = -0.000024 - r. Round m to 5 dps. -0.00002 Let k(g) = -4 + 0 - 5*g**2 + 241*g**3 - 85*g**3. Let c be k(5). Let v = -11471 + c. What is v rounded to the nearest 1000? 8000 Let k = 0.0235 - 0.121. What is k rounded to 2 decimal places? -0.1 Let p(d) = 70*d**3 - 3*d**2 - 5*d + 2. Let x(l) = -71*l**3 + 3*l**2 + 4*l - 2. Let z(t) = -3*p(t) - 4*x(t). Let k be z(2). Round k to the nearest one hundred. 600 Let w = 152.99931 - 153. Round w to four dps. -0.0007 Let j = -2.7 + 1.11. Round j to 1 dp. -1.6 Let p = 5.5 + -5.4868. What is p rounded to three dps? 0.013 Let c = -6 - -5.86. Let w = 0.31 + c. Round w to 1 dp. 0.2 Let m = -6.459 - -6.5. Round m to 2 dps. 0.04 Let s(r) = 3 - 8*r + 4*r + 1. Let w be s(-5). Let j be ((-5000)/(-3))/(4/w). Round j to the nearest one hundred thousand. 0 Let m = -46 - -19. Let c = m + 27.00000076. Round c to 7 decimal places. 0.0000008 Suppose -p = p + 3808. Let b = -96 + p. What is b rounded to the nearest one thousand? -2000 Let m = -4 - -4.1. Let b = 0.02 + m. Let u = -0.120037 + b. What is u rounded to five decimal places? -0.00004 Let j = 0.0743 - 24.6243. Let a = -30 - -54. Let b = j + a. What is b rounded to one decimal place? -0.6 Let g = -63 - -66.9. Let r = g - 3.90000113. Round r to seven decimal places. -0.0000011 Let o = -1 - -1.07. Let j = -7.07 + o. Let y = j - -6.93. What is y rounded to 1 decimal place? -0.1 Let f = 2.28 + -1.8. Let u = 29.48 - f. Let y = u - 28.9962. What is y rounded to three dps? 0.004 Let b = 16 + -16.384. What is b rounded to 2 decimal places? -0.38 Let g(t) = -t + 4*t + 2*t + 14*t**2 + 6*t**2 - 2. Let y be g(-4). Suppose 3*d + 3*k + 174 = 0, -3*d + 8*d + 3*k + y = 0. What is d rounded to the nearest ten? -60 Let q = -20.082 - -20. Let w = -16.582 - q. Let r = 17.41 + w. Round r to 1 dp. 0.9 Let z = 3438.86 + -3290.919. Let l = z - 148. Round l to two dps. -0.06 Let m = -1.06 - -68.06. Let v = m - 67.107. Let s = v - -0.10769. What is s rounded to four decimal places? 0.0007 Let s = -137 + 137.0000178. Round s to six decimal places. 0.000018 Let r = 0.03 + -0.63. Let s = 0.4 - -0.1. Let h = s + r. What is h rounded to zero decimal places? 0 Let j = 0.063029 + -0.063. Round j to five decimal places. 0.00003 Let l = 0.4 - 0.38. What is l rounded to two decimal places? 0.02 Let r = 5 + -21. Let m = 7626.965 + -7611. Let f = r + m. Round f to two decimal places. -0.04 Let g = -25 + 18. Let t = g + 7.008. Round t to 2 dps. 0.01 Let q = -10.9 + 10.900129. What is q rounded to 5 dps? 0.00013 Let o = -14.9 - -13. Let s = o + 1.899947. Round s to five dps. -0.00005 Let f = -21252634541.4686331 + 21480456589.16864. Let t = 227822065 - f. Let g = -17.3 + t. Round g to 6 dps. -0.000007 Let g = 49 + -48.792. What is g rounded to 2 dps? 0.21 Suppose 3*i - 4*i = 2*j - 67, 327 = 5*i + 2*j. Suppose 0 = -r + 2*r + b - i, -b + 199 = 3*r. Suppose -33 = -u + r. Round u to the nearest 10. 100 Let c = 74435242.999903 - 74435192. Let u = 51 - c. What is u rounded to 5 dps? 0.0001 Let g(m) = -64999*m - 3. Let x be g(3). Round x to the nearest ten thousand. -200000 Let y = -1.118 - -1.1. Let c = y + 0.226. Round c to 2 decimal places. 0.21 Let j = -0.01877 - -0.019. What is j rounded to 4 decimal place
{ "pile_set_name": "DM Mathematics" }
(t) = -t**3 + 1 - 1 + 1. Let a be o(-1). Solve -a*m + 4*x - 13 - 9 = 0, -4 = -m - x for m. -1 Suppose 0 = -5*m - 0*m. Solve -h - v + 1 = m, -5*v - 8 = 2*h - 1 for h. 4 Suppose 3*r - 5 = 3*y + 7, -2*y - 12 = -3*r. Solve -3*d + 5*n + 14 = y, -2*d + 0 + 4 = 2*n for d. 3 Let w be ((-1)/(-1))/(3/(-90)). Let b be w/(-4)*42/7. Solve 2*a = -2*a + 5*o - b, 2*a + 5*o - 15 = 0 for a. -5 Suppose 2*a + 6 = 4*a. Let l(z) = 3*z**2 + 5*z - 6. Let w be l(1). Solve a = -3*x - 4*o, -3*x = w*x - o + 5 for x. -1 Let x = -7 + 9. Solve x*u + w = 7*u + 2, 0 = w - 2 for u. 0 Let t be 0 + (-3 - -115) - 2. Suppose 0 = 5*w - t + 10. Suppose 5*m = 5*v, v + 3*m + m - w = 0. Solve 2*n + 5*y = 2*y - 5, v = -n - 2*y for n. 2 Suppose -2*x - 10 = 0, -3*g + 3*x = -4*g - 13. Solve g*b + 3*a = -12, 5 + 8 = -b - 5*a for b. -3 Suppose s - 3*s = 0. Suppose -g - 5*o + 7 = -4*g, 2*o = -3*g + 7. Suppose -3*l + 8 = -g. Solve -h + 4 = 0, s*i - 3*h + 6 = l*i for i. -2 Suppose -10*y - 3 = -11*y. Solve h - y = 2*t, -3*h + t = -t - 1 for h. -1 Suppose 0*b + b + 6 = -5*f, 4*b - 6 = -5*f. Suppose b*l - 15 = -l. Suppose -73 - 27 = -20*n. Solve -12 = 3*x + l*t, 0 = -x - 2*t + 4*t + n for x. -1 Let u be 6 + (-1 - (-4)/(-2)). Let q be (-24)/(-3) - u - 0. Solve 0*w - 4*w = -q*z + 25, -3*w - 3*z = -15 for w. 0 Let a be 3/(-2)*(-3 + 1). Suppose 3*f + f - j + a = 0, 5*f + 2*j = 6. Solve -2*s = -2*d - f*s - 6, -4*d - 12 = 4*s for d. -3 Let a(o) = o**3 + 4*o**2 + o + 5. Let f = 9 - 13. Let g be a(f). Let b be 2 + -2*g - -2. Solve -4*m - 2*q = 0, 2*m = 5*m + 2*q - b for m. -2 Suppose z - 4*p + 12 = 0, 2*z + p - 3 = 6*z. Suppose 0 = 4*u - z*u - 12. Suppose o - u + 0 = 0. Solve o*i = -4*s + 31, -5*s + 28 + 7 = 3*i for s. 4 Let l(v) = 2*v + 18. Let j be l(-9). Solve a - 4*y + 23 = j, 2*a + 1 = 3*y - 20 for a. -3 Let d(z) = 4*z - 9. Let n be d(6). Let o(x) = 2*x**2 - 7*x + 4. Let w be o(4). Solve 0*l - l = 3*a - w, -3*l = -n for a. 1 Suppose -17 + 23 = 3*x. Solve -x*c = 3*b - 7, -5*c + 0*b - 4*b = 0 for c. -4 Suppose 0*i - 7*i = 0. Solve i = 5*g + 5, m + 4*g + 3 = g for m. 0 Let g = -30 + -13. Let l = 68 + g. Suppose j - 8 = 2*a, 0 = 2*j - 3*j + 4*a + 14. Solve j*h = 5*z + 6 - l, 2*h + z + 1 = 0 for h. -2 Let z = 2 + 1. Let c be ((-1)/(-2))/((-2)/4). Let d be c/((2 + -1)*-1). Solve 5*g + d = -3*l + 11, -z*l + 3*g - 6 = 0 for l. 0 Suppose -2*m - 8 = 2*p + 4, -2*m = p + 8. Let l = p + 2. Let j be 1 - 0 - 1*l. Solve 6*n + u + 6 = 5*n, -n = -j*u - 10 for n. -2 Suppose s - 21 = q, -86 = -4*s - q + 6*q. Solve -j - 18 = 4*k, -4*j - s = 2*k - 3 for k. -4 Let m(q) = -q - 1. Let w be m(2). Let s be ((w - -7) + -1)/1. Solve -2*o - s*a - 7 = -0*a, 5*o - 2*a + 27 = 0 for o. -5 Suppose 4*y - 11 = -3. Suppose -3 = -y*j + 3. Suppose 2*s - 3 = j. Solve 4*g + 8 = z - 9, -s*z - 2*g - 19 = 0 for z. -3 Let o be ((4 + -3)*5)/1. Solve 0 = s + 2*j + 3 + 3, s - o*j - 1 = 0 for s. -4 Let z(x) = x**2 - 3*x. Let r be z(3). Let v = 1 + 1. Solve 0 = -v*k - 4*f - 2, -4*k + 4*f - 13 - 15 = r for k. -5 Suppose -4*t + y = -7, -9 = 2*t - 4*y + y. Solve 3*d - 15 = -t*r, -4*d + 5 = r - 9*d for r. 5 Suppose 0 = -3*m - 4*w - 0 + 25, w - 4 = 0. Let j = 7 - m. Solve -j*i - 2 = 2*z, -2 = -z - 0*i + i for z. 1 Suppose 0 = -3*l + 27 - 6. Let u = -7 + l. Solve 2*f = -10, u = y - 2*f - 3*f - 20 for y. -5 Suppose -2*j + 6 = 2*k, -2*j + 7 = 4*k - 9. Solve -w = g + 2*w - 13, 0 = -k*g - 2*w + 26 for g. 4 Let p = -101 + 103. Solve 0 = -0*s + 4*s + 2*i, 2 = p*s + 2*i for s. -1 Suppose 3*f + 8 = 5*f - 3*b, 0 = 2*f - 5*b. Solve 4*q + f = -5*k - q, 3*q = -k for k. -3 Let s = -15 - -17. Solve -s*j - 6 = -2*b + 3*b, 2 = 2*j - 3*b for j. -2 Suppose -4*m = -7*m - 2*m. Suppose a = 21 - 1. Solve -w = -b - m*w - 5, 4*w = 5*b + a for b. 0 Suppose i - 3 + 0 = 0. Let q(t) = 4*t**2 + i + t - 1 + 0. Let d be q(-2). Solve -4*x - 7 = 4*y - 5*x, 2*y = -2*x - d for y. -3 Suppose i + 5 = -2*a, 4*a - 5*i + 15 = -2. Let p be 0/((-3)/(-6 - a)). Solve 2*s + 2*s + 4 = p, -4*s = -t + 9 for t. 5 Let h(v) = v**3 - v**2 + v - 3. Let u be h(0). Let n = 2 - u. Solve -3*x + m - 4 = 0, -n*x + m + 4*m - 20 = 0 for x. 0 Let t be 178/14 - (57/21 - 3). Solve -4*h + 20 = 0, -y + 3*h - h = t for y. -3 Let z = 198 + -190. Solve 2*u + 4*b = -z, u - 2 = 2*b - b for u. 0 Let z(h) = h**3 - 2*h**2 - 2*h + 2. Let g be z(3). Solve -2*n - 5 = -5*m, 3*n + 0 = 5*m - g for n. 0 Let a be 5 - (-7)/(14/(-8)). Solve -2*q - 5*m + 33 = -0*m, -3*m - a = -4*q for q. 4 Suppose -5*k + 2*a = -2*a - 60, -a = -3*k + 29. Let z be 2*-2*(-2)/k. Let v be (z - 1) + (-8)/(-4). Solve -2*f = -v*h - 1 - 1, 3*f = 4*h + 5 for h. -2 Suppose -2*i + 0*i + 10 = 0. Solve 3*g = -2*g - 5, -3*l = -g + i for l. -2 Let b be (-2)/(-2)*-6*(-40)/60. Suppose -r = -5*r - 3*v - 3, 5*v = 5*r - 40. Solve -b*p = r*j - 31, -2*p = p + 2*j - 22 for p. 4 Suppose 0 = 6*o + 5*o. Solve 0 = -2*g - 3*z - 12, -g + 2*z = -o*z - 8 for g. 0 Let w = 7 - 4. Suppose -4*h + 8*h = -j + 21, w*j = h + 11. Let t be 4/(-10) - h/(-10). Solve -2*v = -t*q - q + 14, -4*v + 5*q = 40 for v. -5 Let p(v) = -v + 3*v - 2 - 2*v + 2*v. Let d be p(5). Solve -4*b + d = -4*r, -2*r + 4 = -2*b + 4*b for b. 2 Let u(o) = o**3 + 10*o**2 + 25*o + 7. Let y be u(-6). Solve l - 3 = -3*a - y, 4*a - 2*l + 4 = 0 for a. 0 Suppose 4*c = -c + 5. Suppose -c = -v + 3. Let k be 2 + 2/3*3. Solve b - 3*j = -3 + 6, 0 = -b - v*j - k for b. 0 Suppose 1 = -5*t + 71. Solve 5*y = -2*a + t + 12, -4*a + 4 = -2*y for y. 4 Let n(c) = -c**3 - 5*c**2 + 7*c + 6. Let j be n(-6). Solve 4*l + 0 = -5*d - 3, j = -5*l - d - 9 for l. -2 Let y be ((-9)/27)/((-1)/(-3)). Let p(k) = 3*k**2 + k + 1. Let x be p(y). Solve x*h = -j + 4, 5*j + 2 = 4*h - 16 for h. 2 Let z = 52 - 45. Solve -2*d = 2*a + 6 - 2, a - z = 2*d for d. -3 Suppose -2*z + 4*z = -18. Let n be ((-6)/(-4))/(z/(-60)). Let x = n - 6. Solve -4*g - 12 = -x*b, -2*b - g = 2*g + 4 for b. 1 Suppose -z + 5 = 0, 5*i - 3*i - 4*z = -10. Let d = 1 - 1. Solve 12 = 4*m, d*a - i*m + 17 = -a for a. -2 Let a = -15 - -20. Solve 3*b - a*p - 7 = 0, 3*b + 4*p = -2*b + 24 for b. 4 Suppose -4*o = 5*g - 9*o - 40, 3*g + 2*o = 9. Suppose g*p - 3*b = 19, 0*b + 2*b = 2*p - 6. Solve 5 = 5*w + 10, 0 = p*j - 2*w - 12 for j. 2 Let n = -3 - -9. Let y = 8 - n. Solve 0 = -y*f + 4*j + 28, 3*f - 4 = 5*j + 33 for f. 4 Suppose 0*l = 4*l + 20, -4*d - 5*l = 17. Solve 0 = -f + d*r + 3*r + 20, -4*r - 16 = 0 for f. 0 Let t(s) = 2*s - 7. Let w be t(5). Solve -5*x - 5*n - 35 = 0, -2*x + w*x - 3*n - 5 = 0 for x. -4 Let q be 4/(-8)*(-50 - -4). Let x(t) be the third derivative of t**6/30 - t**5/30 + t**3/6 + t**2. Let k be x(1). Solve 5*r + n = -q, n = 2*r + k*r + 27 for r. -5 Let n(k) = -k + 6. Let s be n(6). Let w(t) = 3*t**2. Let q be w(-1). Suppose o + u + q = -0*o, 3*u = o - 17. Solve -5*i - 15 = 5*z, s = -i - 4*z - 1 - o for i. -3 Suppose -b + 2*b = 0. Let n be (0 + (-3)/6)/(2/(-4)). Suppose b = -4*g + 3*g + n. Solve 3*d + 4*c = 4*d - g, 2*c = 2 for d. 5 Let a(n) = n**2 - 6*n - 14. Let u be a(8). Solve u*k + 3 + 4 = -3*t, k = -2*t - 6 for k. 4 Suppose 5*h + 20 + 25 = 5*z, h = -z + 5. Let i = -4 + z. Suppose 2*g - 16 = 4*y, -g + 0*g - 5*y - 20 = 0. Solve -m - i*o - 14 = -2*m, -3*m + 2*o + 21 = g for m. 5 Let g = -131 - -133. Solve -2*w = -g, -k - 2*k - 2*w = 1 for k. -1 Let h(f) = 2*f - 8. Let m be h(6). Suppose -3*q + m*u + 28 = q, 0 = -q + 2*u + 10. Solve q*v - 3*y + 10 = 0, -5*v - y - 2 = 1 for v. -1 Let k be 2/(-4)*(18 + -6). Let j = 14 - k. Solve 2*d - 25 = 5*t + 3*d, 3*d + j = -4*t for t. -5 Suppose 5*k + 3*i - 3 = 0, 3*i - 5 + 17 = 0. Let v = 6 - k. Suppose -3*x + 18 = v. Solve w + 2 + 2 = -x*t, 0 = t + 1 for w. 1 Let p = -1 - -4. Let d(j) = 2*j - j**2 - 3 + j - j**3 + 4*j**2 + j**2. Let c be d(4). Solve p*n = -c, -3*n - n = 3*k + 15 for k. -1 Suppose 5*w + 15 - 25 = 0. Solve 2*i - 15 = -0*i + 3*l, w*l - 3 = -3*i for i. 3 Suppose 0 = 3*v + 2*v - 15. Let j be (v + 3 + -6)/(-2). Suppose j = -0*i - 2*i. Solve -o - 3*t - 6 = i, -o - 6 = -5*t - 16 for o. 0 Let d be (-1 - 0)*(3 + -6). Suppose 4 = 3*x - 5. Solve r + 7 = d*y, -3*y + 2 + 1 = -x*r for r. 2 Suppose -1 = -3*s + 4*s. Let o be (0/(6/3))/s. Let b be 2*(-2)/4*-2. Solve -2*i = 3*n - b - o, 5*n + 2*i + 2 = 0 for n. -2 Suppose 8*w - 3*w = 10. Solve 3*m - 14 = 2*z, z + 2*m - 4 = -w*m for z. -4 Let h = 3 + 7. Let c be 2/h + (-3)/15. Suppose c = 4*q - 20,
{ "pile_set_name": "DM Mathematics" }
ve r. -123 Rearrange 60*t + 12*t**2 - 3*t**2 + 74 + 52*t + 49*t - 158*t to q + l*t + u*t**2 and give u. 9 Express -34*u + 29*u - 1587*u - 377*u as d + q*u and give q. -1969 Express 12*i - 24345*i**2 + 17*i + 44*i - 73*i as k*i**2 + u + m*i and give u. 0 Rearrange 11*t**4 - t**3 - 2 + 4 + 1700921*t + 13*t**2 - 1700920*t to the form h*t**3 + w*t + d*t**4 + c*t**2 + m and give d. 11 Express (-71*b + 12*b - 27*b)*(3 - 4 - 4) - 23*b - b + 5*b as i*b + j and give i. 411 Express 386*g**4 - 4*g - 389*g**4 - 2*g**3 + 18 + 0*g + 2*g**2 + 3*g - g**3 in the form h*g**3 + f*g**2 + a*g**4 + p*g + j and give a. -3 Rearrange (4 - 2*l - 4)*(1650*l - 9482*l - 7155*l + 2) to the form t*l + c*l**2 + z and give c. 29974 Express -105*o**3 + 0*o**4 + 230*o**3 - 3*o**4 + o + 2*o**4 + 15*o**2 - 12*o**2 as a + w*o + h*o**2 + z*o**3 + s*o**4 and give h. 3 Rearrange j + 83675 + 0*j - 41835 - 41834 - 1172*j**3 to the form z + y*j + s*j**3 + b*j**2 and give z. 6 Express -61 - 16 + 77 + 34148*r as g + o*r and give o. 34148 Rearrange 71*q + 59*q - 4470 - q**2 + 8934 - 4481 to the form m + g*q + s*q**2 and give s. -1 Rearrange -8817*z + 14299*z - 9535*z to d*z + r and give r. 0 Express (2*i - 2*i + 4*i)*(-2*i + 2*i + 3*i + 63*i - 1800 + 1800 + (3 + 2 - 3)*(i - i - i)) + 2 - 3*i**2 - 2 in the form v*i**2 + m*i + c and give v. 253 Express 10*a**3 - 4 - 12*a**3 - 90*a**2 + 270*a**2 - 90*a**2 - 94*a**2 + 73*a as v*a + t*a**3 + f + u*a**2 and give u. -4 Express 18*s**2 - 2*s - 24*s**2 + 14 - 10 + 0*s + 36 in the form j*s + b*s**2 + p and give p. 40 Express 155 + 2*w**4 - w**3 - 3*w**4 + 72*w - 24*w + 152 - 2*w**2 - 311 in the form l*w + u*w**3 + x + g*w**2 + s*w**4 and give l. 48 Rearrange (4*f**3 + 2*f**2 - 2*f**2)*(-7 + 4 + 1)*(20258 - 40505 + 20242 - 351*f) to the form l*f**3 + w*f**2 + d*f**4 + v + u*f and give l. 40 Express 293*p - 3968*p + 486*p as a*p + t and give a. -3189 Rearrange -i**3 - 2*i - 2*i**4 - 5081 + 5036 + 12*i to the form x*i + w*i**3 + k*i**4 + r*i**2 + g and give w. -1 Rearrange (0*w - 3*w + w)*(-1 + 2 + 0)*(13*w**2 - 2 - 2135*w + 50*w**2 + 2138*w) to a*w + m*w**2 + z*w**3 + k and give m. -6 Rearrange 266*l - 556*l + 17 + 269*l + 2*l**2 to h + r*l**2 + k*l and give r. 2 Express (90*w - 313*w + 112*w)*(98 - 93 + 3*w + 0*w)*(-w + 0 + 0) as p*w + s*w**3 + l + r*w**2 and give l. 0 Rearrange -10008*m**2 - 10017*m**2 + 20031*m**2 + 1 + 39*m + 1 to the form b*m + n*m**2 + l and give n. 6 Express 772*b**2 - 1549*b**2 - 93*b + 775*b**2 - 1 in the form y + n*b**2 + z*b and give n. -2 Express (11*i - 457 - 116 - 9*i)*(-7*i - 5*i + 17*i) in the form l*i + g*i**2 + h and give g. 10 Express -107 - 6*i - 10*i**2 - 104 + 200 + (-4*i + 2*i + 0*i)*(3*i + 2*i - 7*i) in the form s + y*i**2 + l*i and give s. -11 Rearrange -55 + 15 + 107 - 3*x + 118 + 171 to the form j*x + m and give j. -3 Express (-4270*l**2 + 12751*l**2 - 5547*l**2)*(-9*l**2 - 3*l**2 + 3*l**2) as a*l + n*l**4 + k*l**2 + u + r*l**3 and give n. -26406 Rearrange (12 + 7 - 3)*(2*g**3 - 1 + 1 + (-2 + 4 - 3)*(127*g**3 - 28*g**3 + 4*g**3) + g**3 - g**2 + g**2) to u*g + h + i*g**3 + n*g**2 and give u. 0 Express (-780*k - 674*k + 126*k - 427*k - 917*k)*(2 - 2 + 2*k) + 3*k**2 + 0*k**2 - 4*k**2 in the form t*k**2 + c*k + j and give t. -5345 Express -13 + 13 - 2940*x - 3234*x + 2119*x in the form n + y*x and give y. -4055 Express 2*f + f - 4*f + 2180273 - 2180273 + 627*f + 3*f - f + f + (0 - 2 + 1)*(6*f - 2*f - 2*f) as m + i*f and give i. 627 Rearrange (z + z - 3*z)*(-1 - 1 + 0)*(-6 + 2 + 1)*((2 + 0 + 0)*(1 - 2*z - 1) + 2 - 2*z + 1 + 5) to the form g + p*z + u*z**2 and give p. -48 Rearrange 2*k**2 + 12 + 11 - 18 + (-1 - 1 + 3 + (-85 + 205 + 238)*(2 - 2 - 2))*(-2 + 2 + 2*k)*(0 - 3*k + 0) to the form m*k + z + c*k**2 and give z. 5 Express 70 - 49 + 12 - 7*q + 70 + 15 in the form d + f*q and give f. -7 Express -h**3 + 0*h**3 - h**3 + (-76*h + 76*h + 17*h**2)*(-132 + 50*h + 132) as a + g*h**3 + q*h**2 + y*h and give g. 848 Rearrange (j**2 - 3*j**2 + 3*j**2)*(-200 + 116 + 356*j + 83)*(8*j - 17 + 14 - 3*j) to m*j + s*j**2 + u*j**4 + k + w*j**3 and give s. 3 Express (-60*w - 45*w + 2 + 5*w**2 - 139*w)*(0 + 3 - 1 + (-4 - 1 + 1)*(2 + 0 - 4)) in the form i + v*w**2 + t*w and give t. -2440 Express ((3*u + 3*u + 7*u)*(-1 + 1 - 2) - 144*u - 123*u + 303*u)*(0 + 1 - 2) as v + k*u and give k. -10 Express -1833*i + 349*i - 926*i in the form n*i + f and give n. -2410 Express (2*j**3 + j**3 - 2*j**3)*((1487 - 1098 + 2224)*(1 + 0 + 2) + 0 - 4 + 2) in the form m*j**2 + x*j + f + t*j**3 and give t. 7837 Rearrange -11*x**2 - 25*x**2 - 17*x**2 - x**3 - 13*x**2 + 6135 + 68*x**2 to t + f*x**2 + n*x**3 + k*x and give t. 6135 Rearrange -3281 + 3281 + 84*f + (-21 + 28 + 66 + 31)*(f - 2*f - f) to w*f + o and give w. -124 Express (-9 + 23 + 17)*(875*q - 430*q + 555*q + 877*q - 472*q) as j + c*q and give c. 43555 Express 30 + 16*g**4 + g**2 - 11 - 2*g**3 + 8*g**4 - 14 + g in the form j*g + f*g**2 + l + y*g**4 + a*g**3 and give a. -2 Rearrange -f**3 - 24*f**2 + 6*f**4 - 13*f**2 + 9*f - 2*f**2 - 1 + 43*f**2 to w*f + q + a*f**3 + b*f**2 + s*f**4 and give a. -1 Rearrange -w - 4 + 0 - 2*w**2 - 24*w**2 - 3*w**4 + 9*w**2 + 0*w**2 to x*w**3 + v*w**2 + p + q*w + h*w**4 and give h. -3 Express (53 - 105*m - 53)*(14 + 8 - 15*m - 23) as u + i*m + w*m**2 and give i. 105 Express (-5 + 2*f + 5)*(-6 + 0 + 4)*((-1 + 1 - 2)*(-7*f + 3*f + 0*f) + f + 2 - 2 + f + 2*f + 0*f) as y*f**2 + o + s*f and give y. -48 Rearrange 1333*g - 1333*g - 98*g**2 + ((-3 + 0 + 0)*(-1 + 1 + 2) - 2 - 2 + 6)*(-5 + 5 + g**2) to j*g**2 + q*g + o and give j. -102 Rearrange -168 - 5*t**2 + 4*t**3 + 4*t + 348 - 175 to j*t**2 + p + k*t**3 + x*t and give k. 4 Rearrange (280 - 280 + 103*f)*(1 - 3 - 5)*(-1 - f + 1)*(2 + 3 - 1)*(-3 + 3 + 2*f) to y*f**2 + b*f + t*f**3 + i and give t. 5768 Express (-7*o + 4*o + 4*o)*(2*o - 3*o + 0*o + (4*o - o + 2*o)*(0 - 2 + 1) + 2*o + o - 4*o + (5 - 3 - 3)*(-4*o - 8*o + 3*o)) as y + z*o + f*o**2 and give f. 2 Rearrange 2*l - 4*l**2 - 3*l - 81 - 4*l**3 + 4*l + 0*l + 86 to s*l**2 + a*l**3 + k*l + n and give n. 5 Rearrange -105466 + 105466 + l + 3474*l**2 to the form r*l + j*l**2 + z and give r. 1 Express 7*d**2 + 87*d - 189*d**3 + 189*d**3 - 2*d**4 - 91*d - 12 as w*d**3 + i*d**4 + v + f*d**2 + c*d and give i. -2 Express -27 - 11 - 84*w - 31 - 26*w - 9*w in the form b + t*w and give t. -119 Express (2*d - 3*d - d)*(25402 - 51778 + 25930 + 13647) + 2*d + 2 - 3*d - 4 as b*d + r and give r. -2 Express (2 + 3*f - 2)*(-1211*f + 87*f - 2206*f) + 2 + 2*f**2 - 2 as j*f**2 + o + k*f and give j. -9988 Rearrange (2*i - 3*i + 2*i)*(i**2 - 1 + 1) - 802*i**3 + 739*i**3 + 3794*i**3 to v*i + f + k*i**3 + b*i**2 and give k. 3732 Rearrange 2834058 + 495*u - 96*u - 2834060 to the form l + h*u and give h. 399 Express -5484432*t - 2*t**4 - 1 + 5484433*t + 3*t**4 - 6*t**2 + 17*t**3 as b + o*t**3 + r*t**4 + z*t**2 + w*t and give b. -1 Express -779*y**2 + 1572*y**2 - 792*y**2 - 2*y - 17*y**3 in the form i + k*y**2 + t*y + q*y**3 and give q. -17 Express (-3*p + 6*p - p + (-2*p + 2*p - p)*(-3 + 3 - 1) - 2 - p + 2 + 6*p - 2*p - 3*p)*(-3 + 6 - 6)*(7 - 1 - 2) in the form v + b*p and give b. -36 Express 101*o - 399*o + 101*o**2 + 100*o + 109*o - 2 + 100*o as w + y*o**2 + k*o and give k. 11 Rearrange 11*i**4 + 95 - i**2 + 4*i**4 - 2*i**3 + 111 + 89 - 315 to y*i**4 + p*i + z*i**3 + q + a*i**2 and give z. -2 Express -16*a**3 + 2419*a - 1188*a - 1243*a - 5*a**2 in the form x*a + m*a**3 + h + r*a**2 and give m. -16 Rearrange -83*z + 3*z**2 + 21 - 84*z + 37*z**3 + 244*z - 82*z - 38*z**3 to the form h*z + p + x*z**3 + a*z**2 and give x. -1 Rearrange 59*y - 537 + 875 - 296 to t*y + f and give t. 59 Express -554*d**2 - 1868*d**2 - 270*d**2 + 2885*d - 2887*d as g*d + s*d**2 + p and give s. -2692 Rearrange 6 + 147*q**2 + 2*q + 53 - 11 - 76*q**2 to the form c*q + h*q**2 + o and give o. 48 Express 380 + 16*i - 17*i - 1197 + 390 as r*i + f and give r. -1 Express -1068*p - 339*p**2 - 592*p + 1026*p**2 - 347*p**2 - 342*p**2 as l + d*p + h*p**2 and give h. -2 Express (-1270*d + 34657 - 1327*d - 34658)*(-2 - 2*d + 2)*(-1 + 0 + 0) in the form o*d**2 + w*d + m and give o. -5194 Rearrange 12*i - 50*i + 260 - 55 - 4*i**2 + 38*i to k + j*i + g*i**2 and give k. 205 Rearrange (0 + 3 - 5 + (-2 + 4 - 3)*(2 + 0 - 1) - 1 - 1 + 0 +
{ "pile_set_name": "DM Mathematics" }
+ 2*s, -2*s = 2*v + f for v. -4 Let b(n) = 3*n**2 + 245*n - 246. Let o be b(1). Solve f + 11 = 2*v, f + 2*f + o*v = -1 for f. -3 Let i(w) = -w**2 - 22*w + 40. Let h be i(-24). Suppose -5*s = 5*a, 2*s - 8 = 3*a - 3*s. Let z be h*3*a/6. Solve -15 = -3*b - 3*n + n, 0 = z*b - 2*n - 6 for b. 3 Let x = 2818 + -2814. Solve 0 = 12*p - 17*p - s - 2, -2*p - 14 = -x*s for p. -1 Let p(a) = -a**2 - 61*a + 334. Let h be p(-66). Solve 0 = h*b + 2*d - 16, -d = -7 + 3 for b. 2 Suppose 21 + 87 = 36*p. Solve 2*l = -p*v - 19, -2*v - 26 + 16 = 0 for l. -2 Let d = 249 - 235. Let v = d - -23. Solve 0*p - v = 4*z + 5*p, -19 = 3*z + 2*p for z. -3 Suppose -6269 + 1628 = -91*z. Solve 3*j = -5*c + 40, 5*c - z = -26 for j. 5 Suppose -36*q + 37*q = 3. Suppose -2*s = 2*w + 4, -s + 10 = 2*w + q*w. Solve w*u - u - a = 0, -5*a = 0 for u. 0 Let d(a) be the first derivative of a**4/4 - 3*a**3 + 5*a**2 + 5*a + 3. Let f be d(8). Let c be 1/(14/f) - 6/4. Solve c = -w - 2*t - 3, t - 25 = -w + 6*t for w. 5 Let m = 59 - -65. Let s = m - 114. Suppose 18 = 4*z + b, -5*z + 10 = -2*z - b. Solve 0 = 3*x + 5*u - 29, -z*u + s = -3*x + 3 for x. 3 Let b be (-1 - -4) + 60 + -59. Solve 18 = 2*v - 4*c + 12, 0 = -5*v + b*c + 3 for v. -1 Let n be (-29302)/(-1176) + (-1)/(-12). Solve -4*f = -4*y + 20, -22*y + 27*y = -5*f - n for f. -5 Suppose 19*f - 5*c - 43 = 17*f, -f - 2*c = 10. Suppose -3*u = u - 56. Solve -g - q + u = f*g, 0 = -g - 3*q for g. 3 Let i = -13857 + 13860. Solve 4*x = -i*o + 22, 0*x = -3*o + 2*x - 2 for o. 2 Let z(i) = -12*i**2 - 5*i - 6. Let c be z(-3). Let x = c - -102. Suppose 0*h - 16 = -h. Solve 4*f - 2*j = -0*f - h, x*f + j + 7 = 0 for f. -3 Let r = 7 + -27. Let a = -14 - r. Suppose 0 = -a*m + 2*m + 2*o + 8, 40 = 5*m + 5*o. Solve v = -2*n - 7, -m*n + 4*v - 16 = -n for n. -4 Let q = -67 - -59. Let m(p) = -2*p**2 - 17*p + 9. Let f be m(q). Solve -3*r - 11 = -5*u, r - 4*u - u + f = 0 for r. 3 Let y(t) = -8*t**2 + 15*t**2 - 8*t**2 - 5 - 9*t. Let u be y(-8). Let r be u/(-12) + (-65)/(-20). Solve -r*g - 9 = -2*l - l, -2 = -2*g for l. 4 Suppose -3394 - 1702 = -182*s. Solve -5*c - s*j + 23*j = 15, -4*j - 28 = -4*c for c. 2 Let a(b) = b**3 - 21*b**2 + 12*b + 165. Let p be a(20). Solve 17*z - 15*z = 5*i - 23, -3*i = z - p for i. 3 Let u be ((-3)/2)/((-183)/488). Solve -3*o + 1 = -u*f, 3 = 4*o - f - 7 for o. 3 Let u(b) = 388*b + 10090. Let g be u(-26). Solve 0 = 3*l + g*s - 1, 133*l + 11 = 128*l + 3*s for l. -1 Let b = 36572 + -36568. Solve 0 = s - 4*h + 13, -b*h + 10 = -4*s - 9*h for s. -5 Let b be (0 + 1)*60*5*(-10)/(-600). Let t be 17/4 - (-2)/(-8). Solve -x + 23 = -t*s, -b*s + 5*x = 2*x + 34 for s. -5 Suppose 12 - 17 = -i, -5*i + 5 = -5*v. Solve 3*g + 10 = -a, a - 17 + 6 = v*g for g. -3 Let j = 16804 - 16786. Solve 0 = -15*k + 16*k - 3*r - j, 2*k - 31 = 5*r for k. 3 Let n(z) = 2*z**3 - 27*z**2 - 15*z + 56. Let c be n(14). Let i be 7 - (-3 + c/7). Solve -24 = -3*d - i*o, -4*d + 4*o - 1 = -5 for d. 4 Let u(k) = 9*k**2 + 144*k + 167. Let l be u(-15). Solve 5*s - 4*b - l = 0, 0 = 3*s + 2*b + 2*b for s. 4 Suppose -2*u = -5*h - 13, -u - 3*h + 60 = 59. Suppose m = 4*m - 6. Solve 2*n + 0*t = u*t + 24, -4*n - 2 = m*t for n. 2 Let n = -14011 + 14025. Solve 0 = 2*u + 4*i + 18, -3*u - i = n - 2 for u. -3 Let v(n) = -28 + n**2 - 6*n**3 - 6*n + 35 + 7*n**3. Let r be v(2). Solve -3*a + r = -2*y, 0 = 3*y + a + 2*a - 12 for y. 1 Let r(h) be the second derivative of -h**5/20 - h**4/4 + 29*h**3/6 + 9*h**2/2 + 45*h. Let w be r(-7). Solve 4*t - 5 = 5*z, 5*t - 34 = -w*z - z for t. 5 Let c(m) = -m**2 + 8*m - 3. Let u = -7 - -11. Suppose -4*b + 32 = -u*l, 0*l - 5*l = 15. Let o be c(b). Solve t - 4*p = -3*t + o, -t = 5*p - 9 for t. 4 Let n(s) be the second derivative of -s**5/20 - 5*s**4/3 - 3*s**3 + 23*s**2/2 + 15*s. Let k be n(-19). Solve 3*w - 15 = -2*r, 0 = -k*w - 6 + 18 for r. 3 Let m(v) = 2*v**2 - 24*v - 52. Let p be m(14). Solve 22 = 4*j + l, -j = -0*l + 5*l + p for j. 6 Suppose 3 = -4*q - 8*c + 9*c, -9 = 3*q - 3*c. Solve 13 = w + 2*w + 5*u, q = 5*w + 2*u - 9 for w. 1 Let l(f) = -f - 15. Let r be l(-18). Let a = -2 + r. Let b be 16/2 - (7 + -3 - a). Solve -b*v = 5*c - 0*v + 5, 3*v + 19 = c for c. 4 Let h(m) = 5*m + 18. Let t be h(5). Let u = t - 7. Let c = u - 34. Solve 0*r - r = -4*v + c, 7 = 5*r - 3*v for r. 2 Let r be (1 - 7/(-63)*3)/(26/78). Solve k - r = 5*x, -11*x + 6*x - k - 6 = 0 for x. -1 Suppose -21*x = -16*x + 260. Let d = -31 - x. Suppose 93 - d = 4*v. Solve -5*q - v = o - q, -2*o = 5*q + 21 for o. 2 Let d(p) = p**2 + 18*p - 140. Let a be d(6). Solve 4*v + 8 = -a*b, v = -5*b - 1 + 7 for b. 2 Let n = 17 - 9. Let d(h) = 186 + 14*h + 0*h + 10*h + 156. Let u be d(-14). Solve x + 3*b = u*b - 14, -4*x - n = 4*b for x. -5 Suppose 3*t = 292 - 766. Let x = t + 161. Solve -2*l + x*d + 3 = l, 0 = -3*l + d - 7 for l. -4 Suppose -67 = -5*m - 67. Let i be (m - 56)*(-7)/14. Suppose 5*l = -0*k - 4*k + i, -4*k - 2*l + 16 = 0. Solve -14 = -2*j - k*s - 2, -j + 2 = -s for j. 4 Suppose -1832*a + 1837*a - c - 15 = 0, 5*a - 15 = -5*c. Solve -a*n + 4*j + 9 = 0, -j - 3 = -n + 4*j for n. 3 Let y(z) = 4*z + 158. Let b be y(-37). Solve 0*q - 5*n = 2*q, 5*n + b = 0 for q. 5 Let d = -8802 + 8804. Solve -r + d = 2*j, 13*r - 4 = 11*r for j. 0 Let w = -49 + 51. Suppose 2*o = -2*h - 2, o - w = -4*h - 3. Suppose m = -5*t + 1, h = 5*t - 5*m + 2*m + 3. Solve 4*v + 20 = t, 8 = -s - v - 1 for s. -4 Suppose -4*l = 4*v + v - 44, 4*l + 52 = 3*v. Suppose -3*m + 2*c + 14 = 0, -m + 16*c = v*c - 8. Solve -9 = 5*n - m*w, n = 4*n + 3*w + 27 for n. -5 Suppose 4*l + 40 = 4*x, -152*l + 151*l - 1 = 2*x. Solve 2*s + 7*i - 20 = x*i, 3*i - 15 = 3*s for s. 0 Let r(s) = s**3 - 7*s**2 + 6*s + 4. Let t be r(6). Suppose t*z - 6 = 18. Let u = 71045 - 71041. Solve -z = 2*d + 3*g, -u*d = 4*g - g + 6 for d. 0 Let g = 850 + -849. Let x be 456/30 - (16/(-20))/g. Solve 0 = -4*p + 2*v - x, v = 3*p - 7*p - 10 for p. -3 Suppose -52 = -2*f + 2*a, -5*f + 3*a = -139 + 3. Suppose -61 - f = -9*m. Solve -4*x - m = o, -2*x - 5*o + 13 = -3*x for x. -3 Suppose 3*f = 4*f - 2. Suppose 2*s + 16 = 22. Suppose -2*b - s*x = -1, -2*b + 3*x = -0*b - 7. Solve -35 = -4*c - 3*w - b*w, 0 = -5*c - f*w + 31 for c. 5 Let s(d) = -d**2 - 2*d. Let j be s(-2). Let t(z) = 2 - 43*z + 89*z - 50*z. Let w be t(-1). Solve j = v + w*u - u + 14, -u - 3 = 0 for v. 1 Let p be (-5)/(-3)*(6 + -3). Suppose 4*v + 31 = -5*k, -k + 3*k + 2*v + 14 = 0. Let n be 1*-1*(k + 3 - 0). Solve z + 2*m + 4 = n, 0 = 4*z + p*m + 1 + 3 for z. 4 Let m = 23059 - 23056. Let z be (9/(-4))/(6/(-32)). Solve 0 = 2*b + 3*t - 10, -m*b + 6*b = -3*t + z for b. 2 Let d be 4/(-12)*(-26 - -5). Let f be 2/((-1)/(-3) - 1). Let l = f + d. Solve -4 = -l*z - 2*w - 2*w, 25 = -3*z + 4*w for z. -3 Let a(f) = f**2 + 2*f - 32. Let y = -84 + 78. Let x be 0 + 40/y + 19/(-57). Let z be a(x). Solve 4*k = k - z*p + 3, 0 = -5*k + 2*p - 16 for k. -2 Let v(z) = z**3 + 6*z**2 + 8*z + 9. Let q be v(-5). Let k be (2/q)/(2/(-18)). Solve 0 = -k*u + 4*h - 20, -4*u - h + 14 = -7*u for u. -4 Let d = -21 + 23. Let g be (-2)/(((-24)/21)/4). Suppose -4*m + n = -4, -m - 2*n - 18 = -g*n. Solve j - 4*p = -0*p - 19, m*p - 14 = d*j for j. -3 Let b(p) be the first derivative of -5*p**3 - 13*p - 1/4*p**4 + 15/2*p**2 - 13. Let j be b(-16). Solve -2*f + 0*f + 8 = u, -10 = -j*u + f for u. 4 Suppose 0 = -67*t + 28 + 173. Solve -36*p - 3*m = -34*p + 5, 2*m + 10 = -t*p for p. -4 Let f be 4/12*(6 - -9) - 0. Suppose -230*r + 234*r - 28 = 0. Solve -f*h - 14 - r = -4*v, -v - h = 6 for v. -1 Let o(l) = 31*l**2 + 46 + 32*l + 3*l**3 - 2*l**3 - 63*l. Let p be o(-32). Solve 3*q + u - 5*u = -p, -4*u = -20 for q. 2 Let v(q) = -283*q - 880. Let a be v(-3). Let g be (-2)/(4/(-74)) + -1. Let z = g + a. Solve z*h + 2*d = -22, -h + d = -1 + 4 for h. -4 Suppose 2*j - 16 = 2*h, -15 = 5*h + 10. Let c be (36/(-20))/(j/(-45)). Let k be ((-5)/(-2))/(-4 + c/6). Solve -4*t + 8 = 4*g, -3*g + k*t + 1 = -21 for g. 4 Let x be 4 - (63/30 + (-6 - (-649)/110)). Solve -2*d - x*w = -12, -22 = -5*d + 4*w - 1 for d. 5 Let w = -3287 + 3287. Solve v = -3*c + 5, w = c - 16*v + 18*v - 10 for c. 0 Let y = 2057 - 2045. Solve -2*z + 2*l - y = 0, 0*l = -4*z - 2*l + 6 for z. -1 Suppose -2*h - 16 + 20 = 0. Let o(k) = 5*k + h + 16 - 2*k. Let v be o(-5). Solve -j - 2*d - 1 = -11, d = v for j. 4 Let d be -4*1*6/(
{ "pile_set_name": "DM Mathematics" }
, -2/17, -2.5 Put 1/9, 5, 1/8, 11891987 in descending order. 11891987, 5, 1/8, 1/9 Sort 0, -4, -4322, -77, -3 in ascending order. -4322, -77, -4, -3, 0 Put 1699, 5, -3, 1, 0 in decreasing order. 1699, 5, 1, 0, -3 Sort 6130, 1983, -7 in decreasing order. 6130, 1983, -7 Sort -824, 3, 4, -109, 0.7 in decreasing order. 4, 3, 0.7, -109, -824 Put 49, -2/5, 0.087, 2, -2/9, -3/4 in decreasing order. 49, 2, 0.087, -2/9, -2/5, -3/4 Sort 2584315, 20, 4 in decreasing order. 2584315, 20, 4 Sort 0, 4, -5, 5, 2358, -1. -5, -1, 0, 4, 5, 2358 Sort -8, -13/3, 8, -321 in decreasing order. 8, -13/3, -8, -321 Sort -1, 0.2, 2/7, 3.71, 50.4 in decreasing order. 50.4, 3.71, 2/7, 0.2, -1 Sort 5, -0.8, -4, -9, -4/13, -3. -9, -4, -3, -0.8, -4/13, 5 Sort -204329, -3, 0, 274 in decreasing order. 274, 0, -3, -204329 Put -3, 1/5, -3/2, -32/7, 2, -23/5 in descending order. 2, 1/5, -3/2, -3, -32/7, -23/5 Put 3, 30, 1.5, 5, 23/2, -4/7 in descending order. 30, 23/2, 5, 3, 1.5, -4/7 Put -1, -8070, 4, -1452 in increasing order. -8070, -1452, -1, 4 Put -2, -1/5, -158/29, 2/5, -3.3 in descending order. 2/5, -1/5, -2, -3.3, -158/29 Sort -1778149, -3, 1, -5 in increasing order. -1778149, -5, -3, 1 Put -129, 1/2, 3, -4, -2 in increasing order. -129, -4, -2, 1/2, 3 Sort -4, 3/2, -13404, -2, -4/41, -5. -13404, -5, -4, -2, -4/41, 3/2 Sort 4, 6, 2, -2, 878730 in ascending order. -2, 2, 4, 6, 878730 Put -6, -19, -8, -1, 7, 28, 3 in increasing order. -19, -8, -6, -1, 3, 7, 28 Sort 3, -1, -11, 25, -2, 115 in descending order. 115, 25, 3, -1, -2, -11 Put -313, -468, 147, -5 in decreasing order. 147, -5, -313, -468 Put -5, 41169, -162 in descending order. 41169, -5, -162 Put 91, 0, 4, 35, 2, 16 in decreasing order. 91, 35, 16, 4, 2, 0 Put -21380, -205, 2 in descending order. 2, -205, -21380 Put -5, 1, 3, -565, -3, -28584 in decreasing order. 3, 1, -3, -5, -565, -28584 Put -2, -1, -0.3, -54.7686 in descending order. -0.3, -1, -2, -54.7686 Put -3, 1, -5, -17849, -20 in ascending order. -17849, -20, -5, -3, 1 Sort 0.5, -14/9, -50895.7 in descending order. 0.5, -14/9, -50895.7 Sort -445, -174, -4, 37 in increasing order. -445, -174, -4, 37 Sort -0.1, 62.2, 1, -11/4, -0.0592 in descending order. 62.2, 1, -0.0592, -0.1, -11/4 Sort 13, 6, -15, 0, 4/5, -13/5 in decreasing order. 13, 6, 4/5, 0, -13/5, -15 Put -2666, -4, -4.22, -2/9, 2/11 in increasing order. -2666, -4.22, -4, -2/9, 2/11 Sort 2, -16, 4, 7, -139, -3 in increasing order. -139, -16, -3, 2, 4, 7 Sort -5, 2818, 22/3, -0.2, -0.3 in ascending order. -5, -0.3, -0.2, 22/3, 2818 Sort -261, -26, -2, 1, 40 in increasing order. -261, -26, -2, 1, 40 Sort -139, -85, -27, 4, -2, 3. -139, -85, -27, -2, 3, 4 Put 0.3, 3, 1/4, -0.5, 107014, -14 in descending order. 107014, 3, 0.3, 1/4, -0.5, -14 Sort 2, -12, -226, -125. -226, -125, -12, 2 Put -2585, 0.4, -23/4, 4/7 in descending order. 4/7, 0.4, -23/4, -2585 Put 1, -4/32383, 2/7, -3/5, -20 in ascending order. -20, -3/5, -4/32383, 2/7, 1 Put 878, 8, 1, -1, 5/3, -43 in descending order. 878, 8, 5/3, 1, -1, -43 Put 160, 34, -7529 in ascending order. -7529, 34, 160 Sort 0, 1042/1085, -0.6. -0.6, 0, 1042/1085 Sort -1, -6, 2, -49, -198 in descending order. 2, -1, -6, -49, -198 Put 4, 4837849, 5, 0, 2 in descending order. 4837849, 5, 4, 2, 0 Put 2/7, 1453, 3, 12, -3/4 in ascending order. -3/4, 2/7, 3, 12, 1453 Put 196, 14999, -7 in descending order. 14999, 196, -7 Put 4, 45, 128, -596, 2 in decreasing order. 128, 45, 4, 2, -596 Put 0.8, 1, 100444, -12 in decreasing order. 100444, 1, 0.8, -12 Put -137/4, 65, 246, -2 in increasing order. -137/4, -2, 65, 246 Put -2, -0.2, -40.342, 7/4 in decreasing order. 7/4, -0.2, -2, -40.342 Sort -2/15, 1, -2, 557647 in ascending order. -2, -2/15, 1, 557647 Sort -414, 146, 9, 4 in descending order. 146, 9, 4, -414 Put -1, 0, -3, -895746 in descending order. 0, -1, -3, -895746 Sort 9, 436, 0.4, -1/8, 2682, 0.3 in decreasing order. 2682, 436, 9, 0.4, 0.3, -1/8 Sort 45, 120, -18, -147 in decreasing order. 120, 45, -18, -147 Sort -2, 2, 0, 15, -82, 8, 38 in descending order. 38, 15, 8, 2, 0, -2, -82 Put 8, 36, 12799 in decreasing order. 12799, 36, 8 Sort -96, -4, 5, -1168. -1168, -96, -4, 5 Put 5, -0.3, -1/2, 67.16, -0.86 in ascending order. -0.86, -1/2, -0.3, 5, 67.16 Sort -26/5, -5, -1/2, -29, -0.183 in decreasing order. -0.183, -1/2, -5, -26/5, -29 Sort 2, -5, 289, -4, 1, -10, 3 in ascending order. -10, -5, -4, 1, 2, 3, 289 Put -3, 5, -388, 0.1, 4, -1.5 in increasing order. -388, -3, -1.5, 0.1, 4, 5 Sort 107669.65, -0.2, -2, 0.4, -3 in decreasing order. 107669.65, 0.4, -0.2, -2, -3 Sort 4, 3, -283, 623, -3, -5 in descending order. 623, 4, 3, -3, -5, -283 Sort -2/13, -2166, -4, -3, 6, -0.2 in descending order. 6, -2/13, -0.2, -3, -4, -2166 Put 1, 4, 5, 2, -11, 3605, 0 in decreasing order. 3605, 5, 4, 2, 1, 0, -11 Put 4, -7, -3, 5, 2568, 1 in ascending order. -7, -3, 1, 4, 5, 2568 Sort 0, -48297, 141 in decreasing order. 141, 0, -48297 Sort 5, 0.3, -4, 594410, -1 in increasing order. -4, -1, 0.3, 5, 594410 Sort 3477/4, 0.15, -90/13, -3, 1 in descending order. 3477/4, 1, 0.15, -3, -90/13 Sort -919, -0.1, 3, -2, -2/3 in decreasing order. 3, -0.1, -2/3, -2, -919 Put 1, -1858431, 3, -0.2, -0.01 in ascending order. -1858431, -0.2, -0.01, 1, 3 Put 2, 0, 610, 21, 5, 31 in ascending order. 0, 2, 5, 21, 31, 610 Put -0.5, -3/4, -74204, -7/2 in increasing order. -74204, -7/2, -3/4, -0.5 Put 2, 0, 1, -3, 5, -963 in decreasing order. 5, 2, 1, 0, -3, -963 Sort 5, -75232, 15, 7, 4 in decreasing order. 15, 7, 5, 4, -75232 Sort 399, 88, -2319 in increasing order. -2319, 88, 399 Sort -173, -0.4, -3, 1, -0.2662, 2 in decreasing order. 2, 1, -0.2662, -0.4, -3, -173 Put 3, -2, -419816 in increasing order. -419816, -2, 3 Sort 1464, -1, -2276, 4 in ascending order. -2276, -1, 4, 1464 Sort -5, 5, 296341, 6, 2 in descending order. 296341, 6, 5, 2, -5 Sort 3, 1, 0, 6, -3, -25855, -2 in decreasing order. 6, 3, 1, 0, -2, -3, -25855 Put 115, 4, -632 in descending order. 115, 4, -632 Sort -1, 1, 5, -18923412. -18923412, -1, 1, 5 Sort -22, -8, 1, 22, 4, 8, -1 in decreasing order. 22, 8, 4, 1, -1, -8, -22 Sort -167, -332, -15 in descending order. -15, -167, -332 Sort -2, 4, -6, -6966. -6966, -6, -2, 4 Put -3, -6, -15, 116, -1 in ascending order. -15, -6, -3, -1, 116 Sort 12, -2, -9286, -5 in descending order. 12, -2, -5, -9286 Sort 0, -36, -4, 2, -9, 4. -36, -9, -4, 0, 2, 4 Put -1.61, 2, 12, -132 in ascending order. -132, -1.61, 2, 12 Sort 5, -0.3, 477749 in descending order. 477749, 5, -0.3 Put -37497730, 4, -2 in ascending order. -37497730, -2, 4 Sort 9, 345, -31, 4, -4 in decreasing order. 345, 9, 4, -4, -31 Sort -0.07, 59/13862, -4 in descending order. 59/13862, -0.07, -4 Sort -4, 83, 33, 4, 125, 5 in increasing order. -4, 4, 5, 33, 83, 125 Sort 4119/26, -255, -10. -255, -10, 4119/26 Put -5, -2, 0.5, 19227, -40 in descending order. 19227, 0.5, -2, -5, -40 Sort -2, 0.0370403, -30, -0.08 in decreasing order. 0.0370403, -0.08, -2, -30 Sort -17/4, 42/163, 2/3, -4 in decreasing order. 2/3, 42/163, -4, -17/4 Put -98, -3, 4, -148, -1, 8 in descending order. 8, 4, -1, -3, -98, -148 Put -3, -4, -1, -5, 2, 2119 in descending order. 2119, 2, -1, -3, -4, -5 Put 4, -13, 0, 187, -6, 3 in decreasing order. 187, 4, 3, 0, -6, -13 Put 0.1, -0.208, -66, -2/5, -3/115 in decreasing order. 0.1, -3/115, -0.208, -2/5, -66 Put 3, -13, -1, -736, -5, 10 in ascending order. -736, -13, -5, -1, 3, 10 Sort -231370, 3, -4 in descending order. 3, -4, -231370 Sort -3/8, -3, 0.1, 364, 0.9, -1 in decreasing order. 364, 0.9, 0.1, -3/8, -1, -3 Put 136, 9325.33, 1 in increasing order. 1, 136, 9325.33 Put -4, -2, -34, -1, 80, 5, -7 in increasing order. -34, -7, -4, -2, -1, 5, 80 Sort 1, -3, -48, 16, 27, 4, 0 in increasing order. -48, -3, 0, 1, 4, 16, 27 Sort 1464, -4, -14598, -2. -14598, -4, -2, 1464 Put -0.4, -2, 711, -1/2, 30293 in descending order. 30293, 711, -0.4, -1/2, -2 Put 720/7, 3, -12531 in descending order. 720/7, 3, -12531 Put 2, 1, 371/22, -0.955, -3 in ascending order. -3, -0.955, 1, 2, 371/22 Put 113, -11, 578 in descending order. 578, 113, -11 Sort 16/41, 3, -0.3, 2/7, -22, 1.88 in increasing order. -22, -0.3, 2/7, 16/41, 1.88, 3 Put 8394, -3, -1120 in decreasing order. 8394, -3, -1120 Sort 4, 5, -9, -1647, -1. -1647, -9, -1, 4
{ "pile_set_name": "DM Mathematics" }
5/2)/s))/s)*(s*s**(-8))/s)/(((s*s/(s*(s**10/s)/s))/s)/s**(1/2)) assuming s is positive. s**(-8) Simplify ((m**(-1/2))**48*m**(-1/9)*m*m/(m*(m/(m*m/m**6))/m))**(-1/29) assuming m is positive. m**(244/261) Simplify (x*x*x**(2/9))**(-33/5)*x/x**3*x*x/x**(-1/14) assuming x is positive. x**(-613/42) Simplify h/(h/(h*h**(-8)/h*h))*h**(-1/25)*(h/(h**(-9)/h)*h)/((h*h/h**(6/17)*h*h)/h) assuming h is positive. h**(983/425) Simplify (x/((x*x**3)/x)*x**(1/13)*x*x)**(-37) assuming x is positive. x**(-37/13) Simplify ((s**(-11))**(7/8))**(-44) assuming s is positive. s**(847/2) Simplify (x*x**3*x*x*x)**(-1/20)/((x*x**4*x*x)/x**(-1/7)) assuming x is positive. x**(-1049/140) Simplify (c**3/(c/(c/(c/(c*c**(2/21)))))*c**(1/9)/c**7)**(-26) assuming c is positive. c**(6214/63) Simplify ((s**(1/6)*s/(s*s**23))**(1/46))**(2/23) assuming s is positive. s**(-137/3174) Simplify (f/(f*f**0)*f)**50/(f**(8/7)/(f/(f/f**(-2/3))*f)) assuming f is positive. f**(1033/21) Simplify (((m/((m*(m**15/m)/m)/m*m))/m**(-9/4))**(-1/5))**(17/4) assuming m is positive. m**(731/80) Simplify ((t*t*(t/(t**(23/4)/t))/t)/t**(-24))/(t**(-14)/((t/(t**(-36)/t))/t*t)) assuming t is positive. t**(293/4) Simplify ((m**10/m**(3/4))**(-1/3))**39 assuming m is positive. m**(-481/4) Simplify ((j**(16/7))**(-2/83))**(-27) assuming j is positive. j**(864/581) Simplify (l/(l**13*l)*l)/l**(-2/47)*l*l**2*l**3 assuming l is positive. l**(-280/47) Simplify ((k/(k/((k**20*k)/k)*k))/(k*(k/k**(4/3))/k))/(k**(-2/5)/(k/(k**(-2/83)/k))) assuming k is positive. k**(27088/1245) Simplify (v**(-8)*v**(2/5))/(v**(-1/3)*v)**(-26) assuming v is positive. v**(146/15) Simplify (h**(-11)/h**(-13))/(h**4)**22 assuming h is positive. h**(-86) Simplify ((p/(p**(2/3)/p))/((p/(p*(p**(8/7)/p)/p*p))/p)*(p*p**(-8))/((p*p/(p/(p*p/(p/(p**(4/5)/p))))*p)/p))**(4/7) assuming p is positive. p**(-2656/735) Simplify ((j/j**4)/j**0*j**(2/13)*j/(j*(j**5*j*j)/j)*j*j)**(-9/2) assuming j is positive. j**(801/26) Simplify (u**6/((((u/u**(-18)*u*u)/u)/u)/u))/(u**(12/7))**(-6/13) assuming u is positive. u**(-1020/91) Simplify (i**(1/8)/i**29)/((i**21*i)/i*i**(-2/127)) assuming i is positive. i**(-50657/1016) Simplify (((j*j**(-2/31))/j)/j)**(-3/11)/((j/(j**(1/19)/j))/(j/(j**(-13)*j))) assuming j is positive. j**(6681/589) Simplify ((y/(y*y**(-29)))/y)/(y**(-36)/y)*y/(y**10/y)*y**(3/2) assuming y is positive. y**(117/2) Simplify (((c*c**(-5/9))/c**(-1/16))**(1/4))**(-2/75) assuming c is positive. c**(-73/21600) Simplify ((z/z**(-19))/z)/z**(4/15)*(z*z**(-3/8)*z)**19 assuming z is positive. z**(5953/120) Simplify x*x/(x**(-5/6)/x)*x*x**(-16)*x/x**12*x**(-15/2) assuming x is positive. x**(-89/3) Simplify (((z**(-2)/z)/z**3)/((z/((z*z**(-2/15))/z))/((z/(z/(z**7/z))*z)/z)))**(-3/14) assuming z is positive. z**(17/70) Simplify (((f/f**(-1))/(f*f**6))/(f**(-4)/f**(-3)))**20 assuming f is positive. f**(-80) Simplify k*k*k*(k/(k**(3/4)/k)*k)/k*k/(k/(k*k**(1/4)/k))*k**(-2/5)*k/((k**(-9)*k)/k) assuming k is positive. k**(141/10) Simplify k**(-1/30)/(((k/(k/(k*(k/(k/(k*k*k/(k/k**(-28)))))/k*k*k)*k)*k)/k*k)/k)*k/(k/(k**(1/11)/k))*k**(-19/3) assuming k is positive. k**(5849/330) Simplify ((d/(d/d**(-5))*d*d)/d*d**(-11))/(d**(2/3)/d)**(-2/59) assuming d is positive. d**(-2657/177) Simplify (f**22/f*f)/(f/(f*f/f**(-2/5)))*(f*f**(-21/5)/f)/f**(-1/12) assuming f is positive. f**(1157/60) Simplify (k**(-6/5))**40/(((k**(-1/5)*k)/k*k)/k)**(5/7) assuming k is positive. k**(-335/7) Simplify ((d/d**(-2/9))**(-22/7))**(-3/8) assuming d is positive. d**(121/84) Simplify ((r/(r/(r/r**5))*r*r)**(-21/2))**(-17/4) assuming r is positive. r**(-357/4) Simplify (b*b*(b**(-4)*b)/b*b*b/(b/(b**0*b*b*b)))/(b**(-6/7)/(b/b**3)) assuming b is positive. b**(6/7) Simplify (m/m**8)**(-1/16)*(m**(-4))**(13/3) assuming m is positive. m**(-811/48) Simplify ((l**(-13/4)*l**7*l)**(-1/16))**(-12/13) assuming l is positive. l**(57/208) Simplify ((b*b/(b*b**2))**(10/11)/(b/b**6*b*b**(-7)/b))**(-10) assuming b is positive. b**(-1220/11) Simplify ((t**(-8)/(t/t**(-2/9)))/((t*t**(2/35)*t)/(t**(3/11)/t)))**(-33) assuming t is positive. t**(41603/105) Simplify (w**(-2/29))**(4/15)*(w**9/w*w*w)**(-4/11) assuming w is positive. w**(-17488/4785) Simplify ((h*h**2*(h*h**(-1/3)/h)/h)/(h**(-10)/h**9))**(-3/20) assuming h is positive. h**(-31/10) Simplify (y**4*((y/(y/(y**(-5/2)*y)))/y)/y*(y**(-1))**(3/31))**(3/13) assuming y is positive. y**(75/806) Simplify y**(6/7)*y**(-2)*y*(y**(-1/3)/y*y)/(y**(-13)*y) assuming y is positive. y**(242/21) Simplify (k**1)**(-36)*(k/((k*k**29/k*k*k*k)/k))/k**(-1/5) assuming k is positive. k**(-329/5) Simplify ((h**(-1))**(-13)/(h*h**0)**(19/5))**(2/69) assuming h is positive. h**(4/15) Simplify (i/((i*i**8)/i)*((i*i/i**5)/i)/i*i*i*i*i*i**(-1/5)*i*i*((i/(i**(2/5)*i))/i)/i)**(-48) assuming i is positive. i**(2064/5) Simplify ((f*f**(-5/7))/f)/(f*f**(1/2))*(f*f**(-12)*f)**(1/37) assuming f is positive. f**(-1287/518) Simplify (w**8*w/w**6*w/w**(1/7)*(w/(w/(w/(w/w**2))))/w)**47 assuming w is positive. w**(1598/7) Simplify (((x/((x**(-2/9)/x*x)/x))/(x/(((x*x/(x*x/(x/(x/(x*(x/((x**(1/8)/x)/x))/x*x*x)))*x))/x)/x)*x))/(x**(2/21)/x**(-5)))**(5/11) assuming x is positive. x**(-7555/5544) Simplify ((v**(1/5)*v)**(-1/54))**15 assuming v is positive. v**(-1/3) Simplify f**3*f*f*f*f/f**(3/4)*(f/(f/f**(-1)))**9 assuming f is positive. f**(-11/4) Simplify (z**(8/5)/(z/z**(-3/4)))/((z**(2/9)*z)/z)**(-2/81) assuming z is positive. z**(-2107/14580) Simplify ((r/(r**46/r))/(r**(-42)*r))**(1/15) assuming r is positive. r**(-1/5) Simplify (a**(-3/4))**(-3)/(a**11/(a/a**16)) assuming a is positive. a**(-95/4) Simplify ((u*u/u**(3/5))/(u/u**(-22)))**21 assuming u is positive. u**(-2268/5) Simplify (((x**(2/3)*x*x)/((x**8/x)/x*x))**(-2))**(10/7) assuming x is positive. x**(260/21) Simplify (((k**2)**(-7/5))**(2/23))**(-1/80) assuming k is positive. k**(7/2300) Simplify (o**(4/7))**(1/33)/(o**(-6)*o**(9/7)) assuming o is positive. o**(1093/231) Simplify (u/(u**(-1/11)/u))/u**(-4)*u**(-1/18)*u/(u*u/u**(-4/3)*u*u) assuming u is positive. u**(337/198) Simplify (v/(v*v**(-2)/v))**(-11/6)/((v/(v/(v**3*v*v*v)))/v)**(-46) assuming v is positive. v**(449/2) Simplify ((i/i**(-1)*i)**(-39)*((i/(i/i**7*i*i))/i)/(i**(6/7)/i))**(7/2) assuming i is positive. i**(-395) Simplify (i*i**(3/5)/i*i*i**(-1/9))/((i**(-3)/i)/(i/(i/(i/i**(-2/5)*i))*i)) assuming i is positive. i**(80/9) Simplify ((((x**(-1/5)*x)/x)/(((x*x*x/x**7)/x)/x))**(22/5))**(1/15) assuming x is positive. x**(638/375) Simplify c**(-15)/(c*c**(-1/5))*(c**(-1))**(-22) assuming c is positive. c**(31/5) Simplify (a*a*a**8)**7*a**(-15)/(a**(-18)*a) assuming a is positive. a**72 Simplify (k/(((k*k/(k/k**9))/k)/k*k)*k)**(-22)*((k*k*((k/(k/k**(-3)*k))/k)/k*k*k)/k)**(-11/5) assuming k is positive. k**(803/5) Simplify (c**9/c*c)**(-38)*((c/(c*c**8)*c)/c*c*c)/c*c*c*c**(-35) assuming c is positive. c**(-382) Simplify (m**(-8)*m/(m**(-1/5)*m))/(m**5*m*m*m/(m**(1/11)*m)*m) assuming m is positive. m**(-864/55) Simplify j*j**(-2/3)*j**(-8/5)*j*(j**(-1/5))**0 assuming j is positive. j**(-4/15) Simplify (((t*t**(-14/5)*t)/t)/t)**(-5/18)*(t*t**(8/7))/(t**10*t) assuming t is positive. t**(-509/63) Simplify ((w/((w**(-2/23)*w)/w))**(-1/17))**(-2/3) assuming w is positive. w**(50/1173) Simplify (x**(-3/20)*x*x*x**(-14))/(x/x**(-5))**(23/3) assuming x is positive. x**(-1163/20) Simplify (g**(-5))**39/((g/(g/(g**(-11)/g))*g)/g**15) assuming g is positive. g**(-169) Simplify c**(-21)*c*c/c**(-1/50)*c*c**(15/4)*c*c*c*c**(-7)*c*c*c assuming c is positive. c**(-1523/100) Simplify (r**(-4/9)/r**6*r**(5/6)/(((r*r**(1/8))/r)/r))**(1/14) assuming r is positive. r**(-341/1008) Simplify (y**(-7)/y)**(-3/7)*y**36*(y/y**(-2))/y assuming y is positive. y**(290/7) Simplify ((z/(z*z*z**(-1/9)))/(z*z*z**(-2)*z*z)*(z*z*z*(z/(z**(-1)/z))/z)**19)**(9/4) assuming z is positive. z**(829/4) Simplify (w**11)**(-4/13)*(w*w**(-19))**(-21/5) assuming w is positive. w**(4694/65) Simplify d**8/((d/((d*d*d**0)/d))/d)*(d**3)**(5/2) assuming d is positive. d**(33/2) Simplify x**(1/6)*x**17*x**15*(x*x**(4/5))/x*x*x assuming x is positive. x**(1049/30) Simplify (i*((i*i/(i**(-3)*i))/i)/i)**22*((i/(i/i**(-9)))/i)**(-2/7) assuming i is positive. i**(482/7) Simplify ((k*k**1)/k*(k*(k*k**(2/5))/k)/k)/(k*k/(
{ "pile_set_name": "DM Mathematics" }
enominator of 91/17064 and 43/432. 34128 Find the common denominator of 43/567 and 79/105. 2835 Calculate the common denominator of 37/35 and 71/910. 910 What is the smallest common multiple of 36 and 324? 324 Calculate the lowest common multiple of 58 and 14. 406 What is the common denominator of 37/20 and -77/76? 380 Find the common denominator of 7/894 and -127/6. 894 Find the common denominator of -91/122 and -43/18. 1098 What is the common denominator of 29/747 and 71/664? 5976 What is the smallest common multiple of 175 and 973? 24325 Calculate the lowest common multiple of 96 and 24. 96 Find the common denominator of -74/129 and 139/6. 258 Find the common denominator of 23/7192 and -57/155. 35960 Find the common denominator of 15/2116 and 107/644. 14812 What is the smallest common multiple of 2 and 9083? 18166 What is the least common multiple of 1616 and 8? 1616 Find the common denominator of -103/108 and 161/240. 2160 Calculate the lowest common multiple of 30 and 110. 330 What is the lowest common multiple of 40 and 20? 40 Find the common denominator of -77/340 and 21/170. 340 What is the common denominator of 87/56 and 24/427? 3416 Calculate the smallest common multiple of 42 and 54. 378 Calculate the common denominator of -125/18 and 97/5366. 48294 What is the least common multiple of 5 and 71? 355 What is the smallest common multiple of 16 and 2156? 8624 Calculate the least common multiple of 66 and 54. 594 Calculate the common denominator of -63/236 and -9/2. 236 What is the smallest common multiple of 172 and 6? 516 What is the common denominator of -157/132 and 19/192? 2112 Calculate the least common multiple of 22 and 10. 110 Calculate the lowest common multiple of 1512 and 504. 1512 Calculate the lowest common multiple of 54 and 36. 108 What is the lowest common multiple of 8 and 67? 536 Calculate the lowest common multiple of 42722 and 12. 256332 Find the common denominator of -25/172 and -74/387. 1548 Calculate the least common multiple of 328 and 984. 984 Find the common denominator of 87/544 and -97/8. 544 Find the common denominator of 67/4 and 97/1732. 1732 What is the common denominator of -6/287 and -87/28? 1148 What is the lowest common multiple of 11 and 2850? 31350 Calculate the common denominator of -37/105 and -139/12. 420 Calculate the smallest common multiple of 1420 and 994. 9940 Find the common denominator of 11/2 and -15/326. 326 Find the common denominator of 57/5 and -12/41. 205 Calculate the common denominator of 113/36 and 1/81. 324 Find the common denominator of 25/56 and -79/434. 1736 What is the smallest common multiple of 3132 and 1827? 21924 Calculate the common denominator of -16/49 and 11/28. 196 Find the common denominator of 41/48 and -47/174. 1392 What is the least common multiple of 6 and 264? 264 Calculate the smallest common multiple of 1064 and 1330. 5320 Calculate the common denominator of 53/279 and 68/15. 1395 Calculate the least common multiple of 144 and 232. 4176 Calculate the common denominator of 107/10 and 79/498. 2490 What is the lowest common multiple of 108 and 108? 108 Calculate the common denominator of 43/14 and -87/958. 6706 Find the common denominator of 67/60 and 81/40. 120 Calculate the lowest common multiple of 30 and 78. 390 Find the common denominator of -103/1518 and -94/231. 10626 Calculate the smallest common multiple of 348 and 319. 3828 Find the common denominator of 18/7 and -10/6899. 48293 Find the common denominator of 109/448 and 79/1232. 4928 Calculate the common denominator of -23/228 and -41/6. 228 What is the lowest common multiple of 44 and 40? 440 Calculate the smallest common multiple of 27 and 114. 1026 What is the lowest common multiple of 1 and 5? 5 Calculate the common denominator of -55/3 and -70/33. 33 What is the common denominator of 105/58 and -52/957? 1914 Calculate the common denominator of 145/54 and 47/90. 270 What is the lowest common multiple of 42 and 126? 126 Calculate the least common multiple of 6 and 66. 66 Calculate the least common multiple of 1530 and 612. 3060 Calculate the common denominator of 2/2405 and -9/185. 2405 What is the lowest common multiple of 42 and 21? 42 What is the least common multiple of 10 and 362? 1810 What is the smallest common multiple of 2688 and 18? 8064 Calculate the lowest common multiple of 20 and 112. 560 Calculate the smallest common multiple of 361 and 399. 7581 What is the smallest common multiple of 190 and 95? 190 Calculate the smallest common multiple of 6 and 82. 246 What is the common denominator of -167/780 and -139/1560? 1560 Calculate the common denominator of -53/1188 and -87/56. 16632 What is the common denominator of -25 and -62/65? 65 Find the common denominator of 43/68 and 45/187. 748 What is the smallest common multiple of 944 and 32? 1888 What is the smallest common multiple of 448 and 4032? 4032 What is the least common multiple of 396 and 81? 3564 Find the common denominator of -93/86 and 41/10. 430 Calculate the least common multiple of 390 and 60. 780 What is the least common multiple of 161 and 112? 2576 Find the common denominator of -49/786 and 95/6. 786 Calculate the lowest common multiple of 108 and 378. 756 What is the least common multiple of 6615 and 1890? 13230 Find the common denominator of -18/3055 and 43/130. 6110 Calculate the common denominator of 21 and 13/41. 41 What is the smallest common multiple of 2720 and 2176? 10880 Calculate the lowest common multiple of 5024 and 1256. 5024 What is the common denominator of 81/10 and 53/1230? 1230 What is the least common multiple of 56 and 64? 448 What is the common denominator of -83/114 and 27/4? 228 What is the least common multiple of 3008 and 704? 33088 What is the least common multiple of 500 and 52? 6500 Find the common denominator of -37/2385 and -23/45. 2385 What is the least common multiple of 2123 and 579? 6369 What is the lowest common multiple of 6 and 133? 798 Calculate the smallest common multiple of 896 and 896. 896 Calculate the least common multiple of 263 and 8. 2104 Find the common denominator of -119/474 and -1/9. 1422 What is the smallest common multiple of 162 and 9? 162 What is the smallest common multiple of 86 and 146? 6278 What is the lowest common multiple of 40 and 65? 520 What is the smallest common multiple of 14 and 98? 98 Find the common denominator of 79/105 and 169/90. 630 What is the common denominator of -63/8 and 95/2026? 8104 Calculate the common denominator of -28/531 and 44/531. 531 Calculate the common denominator of -97/12 and -105/26. 156 What is the common denominator of 45/224 and 65/192? 1344 Calculate the common denominator of -58/5973 and -70/33. 5973 Calculate the least common multiple of 500 and 340. 8500 Calculate the common denominator of 83/440 and -73/30. 1320 What is the lowest common multiple of 460 and 200? 4600 Find the common denominator of -31/28 and -63/20. 140 Calculate the common denominator of -94/165 and 7/555. 6105 What is the common denominator of -57/10 and -131/54? 270 What is the common denominator of 4/65 and -52/1065? 13845 Calculate the smallest common multiple of 150 and 1. 150 Calculate the common denominator of -137/12 and -71/1032. 1032 What is the common denominator of 157/180 and 8/135? 540 Calculate the least common multiple of 168 and 84. 168 Calculate the common denominator of 41/27 and -76/999. 999 Calculate the lowest common multiple of 37 and 6. 222 Calculate the least common multiple of 138 and 1449. 2898 What is the common denominator of 11/4002 and -49/2? 4002 What is the smallest common multiple of 12 and 14052? 14052 Find the common denominator of -91/310 and 10/1147. 11470 Calculate the common denominator of 169/1302 and -139/3906. 3906 What is the least common multiple of 6 and 66? 66 Find the common denominator of -85/14 and -13/816. 5712 Calculate the least common multiple of 40 and 2160. 2160 What is the smallest common multiple of 7271 and 4627? 50897 Calculate the common denominator of 13/1320 and 87/40. 1320 Calculate the least common multiple of 32 and 3550. 56800 Find the common denominator of 76/3 and -149/12. 12 What is the common denominator of -75/4 and -71/4460? 4460 What is the smallest common multiple of 930 a
{ "pile_set_name": "DM Mathematics" }
late 9/(6/2)*(-1)/3. -1 ((-3)/15)/((-45)/(-25)) -1/9 Calculate 4/(-8)*4*(-6)/4. 3 Calculate 8/12*39/65. 2/5 Evaluate (2/2)/(-15)*2/1. -2/15 Evaluate (24/(-20))/((22/10)/(-11)). 6 What is ((-20)/24)/(55/(-44))? 2/3 What is the value of (-15)/21*69/(-690)? 1/14 Calculate (-18*(-2)/(-10))/(88/(-55)). 9/4 ((-5)/(20/12))/5 -3/5 What is the value of ((-2)/(-5*(-10)/(-125)))/(-1)? -5 Evaluate -3*(-96)/(-27)*(-15)/20. 8 Calculate (-9)/(-9)*(-18)/6. -3 (24/2)/2*59/(-236) -3/2 Evaluate (4*(-2)/(8/2))/(-2). 1 Calculate 4/((1040/(-8))/(-5)). 2/13 Evaluate (36/6)/3*(-12)/8. -3 What is ((-2)/3)/((-8)/(-48))? -4 What is (1*(-6)/28)/((-33)/22)? 1/7 What is the value of 1/(-2)*2*3/24? -1/8 What is ((-20)/(-25))/(-8*(-11)/660)? 6 What is 20/5*((-2)/4)/(-1)? 2 Evaluate 26/13*(-1)/(-6). 1/3 1/2*1/2 1/4 Calculate ((-3)/(9/(-2)))/((-49)/21). -2/7 What is the value of (-108)/(-48)*(-2)/(-18)? 1/4 What is the value of (-4)/(-3)*294/196? 2 5/(-20)*6*(-2)/(-18) -1/6 Calculate (2*12/(-112))/3. -1/14 What is (7/(-42))/(12/(-24))? 1/3 What is (-6)/(-2)*(-10)/60? -1/2 ((-84)/490)/(6/20) -4/7 What is the value of ((-5)/(-4))/((-24)/32)? -5/3 What is the value of 4/(-4)*1/(-3)? 1/3 What is the value of (-128)/48*(-3)/(-2)? -4 (-1)/1*(0/(-5))/10 0 Calculate (9/12)/(45/(-84)). -7/5 What is the value of ((-1)/((-1)/3))/(-2)*2? -3 What is (-14)/(-21)*(-3)/1? -2 ((-396)/462)/((-6)/(-4)) -4/7 What is 17/((-765)/(-27))*-15? -9 Calculate (-14)/63*36/(-16). 1/2 What is the value of (2/(-9)*-6)/(54/9)? 2/9 What is the value of 3/((-4)/(-24)*18/(-4))? -4 What is the value of 36/(-6)*2/4? -3 Evaluate (12/32)/((-6)/(-12)). 3/4 -1*((-2)/(-23))/1 -2/23 What is 1*1/(-18)*(-12)/4? 1/6 Calculate (2/(-6))/(5*8/24). -1/5 Calculate 2/(5/(((-35)/(-28))/5)). 1/10 Calculate (-5)/10*-1*(-4)/(-2). 1 What is (0/(40/(-5)))/1? 0 Evaluate ((-9)/(18/(-20)))/2. 5 Evaluate 2/((-12)/(-9)*-3). -1/2 Calculate (2/14*-1)/((-1)/(-1)). -1/7 Evaluate (3/(-3))/(6/(-18)). 3 What is 1/((-2)/12*-3)? 2 (6/15)/(8/(-10)) -1/2 What is ((-32)/(-440))/(5/25*2)? 2/11 Calculate ((-14)/7)/(2/(-1)). 1 What is -3*(2/(-2))/((-4)/4)? -3 What is (-12)/(-2)*10/(-12)? -5 Evaluate 1*-7*((-80)/(-35))/(-8). 2 What is (3/((-21)/(-4)))/(6/(-21))? -2 Calculate -3*(-4)/(144/(-4)). -1/3 What is the value of (8/(-32))/((-22)/(-16))? -2/11 (-2)/(-5)*((-110)/18)/11 -2/9 What is the value of ((-5)/(-50))/(29/58)? 1/5 Evaluate (-2)/(-6)*300/(-20). -5 What is 65/26*24/20? 3 What is 2*8/(624/6)? 2/13 Calculate (-405)/27*(12/(-130))/(-3). -6/13 Evaluate (-12)/(-5)*(-95)/(-418). 6/11 Evaluate (-48)/(-80)*(-30)/72. -1/4 What is (-6)/16*(-44)/(-66)? -1/4 ((-12)/16)/(54/9) -1/8 (-3)/21*10/(-2) 5/7 Evaluate ((-16)/112)/(((-8)/(-14))/(-1)). 1/4 What is the value of (-28)/(-63)*17/(-17)? -4/9 (50/15)/((-6)/9*-1) 5 What is the value of -3*2/2*(-4)/12? 1 What is the value of (-28)/(-8)*(-3)/(-42)*8? 2 What is (-3*24/54)/(12/(-18))? 2 (-6)/3*(-7)/(-7) -2 Calculate (65/(-273))/(50/(-60)). 2/7 (-5)/(-5)*8/20*-1 -2/5 What is the value of ((-3)/2)/((-45)/(-150))? -5 What is 6/(-12)*(5/(-5))/1? 1/2 Calculate ((-14)/49)/(55/(-77)). 2/5 Calculate ((-1899)/(-1055))/(1/((-10)/(-6))). 3 Calculate ((-2)/(-5))/((-12)/40). -4/3 Evaluate ((-3)/7)/((-19)/(-133)). -3 Calculate 2/((2/(-5))/((-7)/(-35))). -1 Evaluate (14/525*30)/(2/(-5)). -2 What is 640/2304*2/5? 1/9 Evaluate (-3)/(3*-2)*0/(-5). 0 Calculate ((-5)/(-30))/(-1)*(-99)/(-44). -3/8 What is the value of (9/28*(-8)/6)/(-1)? 3/7 Evaluate ((2/12)/((-66)/99))/2. -1/8 What is 20*(-10)/100*2? -4 Calculate 168/(-12)*4/(-14). 4 What is the value of ((-16)/(-28))/((-4)/14)? -2 Evaluate (-6)/(-1)*12/(-36). -2 (-1)/((-34)/(-6))*56/84 -2/17 Calculate ((-3)/18)/(((-3)/(-3))/1). -1/6 Evaluate (-22)/(-66)*54/(-3). -6 Calculate ((-4)/8)/(39/(-26)). 1/3 (-1)/((-2)/18*-9) -1 What is the value of (-67)/(-134)*3/(-2)? -3/4 Evaluate (-4)/(-6)*(-1)/(-4)*-2. -1/3 Evaluate (6/(-4))/(5/(-2)*-1). -3/5 What is 1*(-8)/(-40)*0? 0 What is ((2/(-4))/(1/2))/(-1)? 1 What is the value of (2/4*2)/((-325)/50)? -2/13 What is the value of 9/(135/20)*(-6)/(-10)? 4/5 What is (2/6)/((-4)/24)? -2 What is the value of (-18)/(-12)*2*(-15)/9? -5 What is ((-6)/(-72))/((-3)/8)? -2/9 Evaluate ((-1)/(-3))/((-1)/(24/(-52))). 2/13 What is the value of ((-2*(-3)/12)/1)/2? 1/4 What is the value of 6/(-1)*3*5/(-30)? 3 Calculate 8/6*(-3)/2. -2 (20/6)/((-138)/207) -5 What is ((-29)/(-116))/(4/(-16))? -1 Evaluate (-15)/(-195)*(-2)/1. -2/13 (-2)/(-1)*(-47)/(-188)*0 0 ((-2)/(-4))/((-32)/(-64)) 1 What is ((-2)/24)/((20/8)/5)? -1/6 Calculate (11/22)/((-28)/16). -2/7 Calculate (49/(-294))/((-1)/(-2)). -1/3 Evaluate (11/(-3))/(-11)*1*-6. -2 Evaluate (((-75)/20)/15)/(2/6). -3/4 What is 28/(-77)*2*-11? 8 Calculate ((-9)/15)/(28/140). -3 (-2*1)/(13/26) -4 Calculate (-10*(-19)/(-855))/((-1)/9). 2 What is the value of ((-10)/(-12))/((-42)/84)? -5/3 ((-4)/10)/((12/2)/(-60)) 4 Calculate 11/11*(-24)/6. -4 ((-25)/(-330))/(155/124) 2/33 Evaluate (55/55)/(1/(-5)). -5 Calculate (1/7)/(-10*7/(-210)). 3/7 What is ((-15)/60)/(2/24)? -3 Calculate ((-14)/(-6))/((-266)/(-342)). 3 Calculate ((72/6)/(-60))/(8/(-15)). 3/8 Calculate (-19)/((-1235)/60)*(-39)/(-6). 6 Calculate 1/16*2*(-6)/6. -1/8 (0*-2*(-3)/6)/1 0 What is the value of 0/((-5)/(1/((-7)/(-7))))? 0 Evaluate -1*(-90)/36*(-2)/10. -1/2 ((108/8)/9)/(12/(-2)) -1/4 Evaluate ((-2)/(-44))/(1/4). 2/11 Calculate 1*((-1)/(-2))/(12/(-8)). -1/3 What is the value of (6*1/153)/((-4)/12)? -2/17 What is the value of (-3)/(-15)*0/3? 0 What is ((-4)/(-10))/(-1*4/(-20))? 2 What is -5*48/1216*(-16)/(-30)? -2/19 Evaluate 72/(-32)*4/(-3). 3 What is (252/48)/((-12)/16)? -7 What is (-28)/(-70)*(-10)/(-2)? 2 ((-1)/(-1))/(4/12*-3) -1 Evaluate 1/(1*6/30). 5 (-3)/(1*54/(24/(-4))) 1/3 What is 1*(20/(-4))/(-5)? 1 What is the value of 3/(-27)*72/18? -4/9 (66/(-462))/(((-5)/4)/(-5)) -4/7 Evaluate 8/18*-1*(-36)/8. 2 What is 15/(-450)*10*12/(-62)? 2/31 Calculate (-112)/21*(-7)/84. 4/9 What is 8/27*24/32? 2/9 What is 10/(-2)*8/10? -4 Evaluate (80/180)/((-22)/(-18)). 4/11 Calculate 90/(-27)*1*(-12)/16. 5/2 Evaluate (3*2)/((-600)/(-400)). 4 2/(-8)*52/(-52) 1/4 What is (41/(-41))/((-1)/(-3))? -3 ((-342)/(-190))/((-6)/(-10)) 3 (16/(-12))/(3*(-2)/(-9)) -2 What is the value of 4/32*-4*6? -3 What is the value of (1*(-3)/3)/(56/504)? -9 Evaluate (-4950)/220*8/(-18). 10 ((-3)/(-2))/(1770/472) 2/5 What is the value of ((-6)/9)/((-4)/4)? 2/3 Calculate 2*2/8*1*0. 0 What is 0/(11*(-14)/(-77))? 0 ((234/65)/(-9))/((-8)/10) 1/2 ((-4)/8)/(5/(-40)) 4 (-18*3/(-36))/((-1)/(-2)) 3 What is the value of (-1056)/(-660)*(-30)/8? -6 What is the value of (3*7/63)/(10/(-6))? -1/5 Calculate 15/20*(-2)/6. -1/4 -9*(10/45)/(-1) 2 (63/504)/(1/4) 1/2 Evaluate ((32/84)/2)/(2/(-3)). -2/7 Evaluate 18/(-60)*2*(-1)/6. 1/10 Evaluate ((2/8)/(2/8))/1. 1 Evaluate (-2)/4*-1*(-4)/(-14). 1/7 Evaluate (-1*(-1)/(-18))/((-66)/264). 2/9 What is (2/2)/(9/(-27))? -3 (-39)/26*(-12)/(-18) -1 What is the value of ((-1)/(-2))/(120/60)? 1/4 What is the value of (-2)/(((-1)/1)/(2/4))? 1 Calculate (-23)/46*4/(-7). 2/7 Evaluate (6/(-108))/(((-7)/4)/7). 2/9 What is 32/(-12)*(-5)/30? 4/9 What is the value of 8/((-64)/12)*(-60)/(-315)? -2/7 Evaluate 8/4*(7/2)/(-7). -1 Evaluate (-10)/(-8)*(-1)/((-20)/(-8)). -1/2 What is 30/(-12)*(-8)/5? 4 Evaluate 1/(18/(-63)*14/(-8)). 2 Calculate (44/110)/((-2)/20). -4 Calculate (-7)/(-4)*(-18)/(-21). 3/2 What is the value of (-3)/8*(22/(-3))/11? 1/4 Evaluate 5/(10/(-4))*(-21)/(-14). -3 Evaluate (-5)/(-4)*(-4)/(-10). 1/2 Evaluate (216/(-81))/(4/6). -4 What is ((-15)/9)/((-110)/(-165))? -5/2 Calculate 13/(-286)*-11*-4*1. -2 What is the value of 2*6/30*-5? -2 What is the value of ((-4)/3)/(10/(-120)*4)? 4 Calculate (-115)/(-276)*3/1. 5/4 Calculate (0/(-17))/((-2)/(-2)). 0 What is the value of 1/(-2)*(0/7)/(-5)? 0 36/(-18)*1/(-1) 2 Calculate ((-8)/14)/(((-60)/(-28))/15). -4 What is ((-11)/(-968))/((-2)/(-16))? 1/11 Evaluate (-6)/4*(-136)/(-51). -4 Evaluate (-5)/(70/(-8))*56/48. 2/3 Evaluate (-6)/(-9)*42*(-15)/(-60). 7 Evaluate (30/36*3)/(2/(-4)). -5 What is the value of (-14)/35*15/(-6)*5? 5 ((-8)/(-6))/(4/21) 7 ((-2)/30)/((-1)/((-40)/(-12))) 2/9 Evaluate ((-5)/(-4))/((-5)/(-6))*-2. -3 Evaluate (-2)/5*(-45)/54. 1/3 Calculate (72/63)/((-2)/(-7)). 4 Calculate -4*1/14*7. -2 What is the value of ((-2)/4)/
{ "pile_set_name": "DM Mathematics" }
g, 0 = -y*g - 12 for i. -4 Suppose 3*g + 33 = r, 0 = -5*r + 22*g - 17*g + 145. Let q(j) = j - 13. Let n be q(r). Solve -3*p - 6 = -3*w, -w + n = -2*w - 3*p for w. -2 Let s be (1/2)/(2/44). Let l be 223/((-4014)/(-216)) + 0 + 10. Solve 3*f - s - 23 = 5*y, 5*y + f + l = 0 for y. -5 Let i(y) = 2*y**2 - 155*y + 660. Let r be i(73). Solve 0 = -2*p + f - 9 - r, 12 = -5*p - 2*f for p. -4 Let c(o) = 307*o - 609. Let t be c(2). Solve -4*n = -262*p + 257*p + 20, 2*p - t*n = 25 for p. 0 Suppose -4*c + n = 89, -2*c - 3*c = 3*n + 124. Let d = c - -8. Let j be (54/d)/(-2) + (-2)/(-10). Solve j*z = -3*z - 15, -3 = 3*f - 2*z for f. -3 Let w(m) = -40*m**3 - 8*m + 4. Let q be w(4). Let n be (-6)/(-33) + q/(-44). Suppose -n*j = -54*j - 15. Solve -j*k - 9 = 4*p, -5*k = -k - 4 for p. -3 Suppose -3*u = -1922 - 1390. Let m be (u/32)/(3/4). Suppose -4*v = -4, -3*k = v - 6*v - m. Solve -5*a = 2*o + k, 7 = -o - 5*a - 14 for o. 4 Suppose -17*u + 187 = -153. Let k(c) = -2*c + 45. Let m be k(u). Solve z + 3*o - 8*o = 21, -3*z - m*o = 37 for z. -4 Let l be 8 + -1 - 12/(-66)*11. Solve -2*a - 6 = -4*b, -3*b - 8*a - l = -5*a for b. 0 Suppose 10 = -3*w + 4*b, 3*b - 1 = -w + 13. Suppose w*g = 6*p - p - 2, g - p - 2 = 0. Solve -11 = 2*a - 3*m + 5, 3*a + g*m = 10 for a. -2 Let b be 1 - (-5)/(-2) - 42/(-4). Suppose j + 6 = b. Let n be ((-10)/(-4))/((-42)/(-12) - j). Solve 4*c - 20 = -n*y, 4*c - 3*y + 0*y = 20 for c. 5 Let f be (-7)/((-21)/15)*(4 + -3). Suppose -l - f = -3*p, 3*p + 18 = -4*l + 43. Solve -5 = z - 4*y + y, 3*z = -p*y + 9 for z. 1 Let a(y) = -y + 6. Let l be a(4). Let v(i) = -i**3 - 6*i**2 + 14*i - 12. Let x be v(-8). Solve -x*q = 2 - 6, -l*q + 3 = -u for u. -1 Suppose -6*h - 4*d + 108 = 0, h - 2*d + 5 - 7 = 0. Let p = 18 - 7. Solve 0*l - 2*k = -4*l - h, 3*l - k = -p for l. -4 Let j be ((-24)/(-7))/3*(-42)/(-12). Suppose -10*z + 12*z = j. Solve 7*c - 5 = z*c + 3*g, 5*c = 4*g + 10 for c. -2 Suppose -g = 2*r + g, -r = -g - 8. Suppose -r*s = s + s. Solve 0 = -2*w + 4*z - s - 6, 0 = -5*w + z - 24 for w. -5 Let d be 6513/334 + (-3)/2. Solve -23*t = -d*t + 5*k + 20, -2*t - 4*k - 12 = 0 for t. -2 Let w be -3*(-11)/12 + 2/8. Suppose -2*d - 12*v + 7*v + 3 = 0, w*v + 3 = 0. Solve 2*z + 4*n + 8 - 2 = 0, d*n + 24 = 4*z for z. 3 Let o(b) = 3*b**2 - 9*b + 3. Let g be o(3). Let n be 7 + (g + 2)*-1. Solve 5*f - r = 8*f - 10, -n*f + r + 15 = 0 for f. 5 Suppose -4*s = -10 + 2. Let a be 4620/175 + 2/(-5). Suppose k - s*k = -a. Solve -3*v - k = -4*p, -4*p + 5*v = -p - 25 for p. 5 Let o(x) = -31*x + 199. Let n be o(25). Let m = n - -578. Solve 2*h - 4*h + m = 2*c, -h = 2*c for h. 2 Let d(q) = q**3 - 2*q**2 + 8*q - 30. Suppose 112*u - 107*u - 15 = 0. Let a be d(u). Solve 3*z = -h - 11, -a*h + h - 6 = -2*z for h. -5 Suppose -54*a + 198 + 989 = 161. Solve s + 22 = 4*d, -4*d = 2*s - 7*d + a for s. -2 Let l = -3182 + 3184. Solve -8 = -l*y, 0 = 22*q - 27*q + 4*y - 1 for q. 3 Suppose 12 + 4 = 8*j. Suppose 4*y + 22 = j*s + 3*s, 5*y - 3*s + 34 = 0. Let w be (-4)/1*4/y. Solve -3*a = -0*a + 3*u, -5*u = 3*a + w for a. 1 Let h(u) = 5*u + 39. Let s = 56 + -53. Let i(k) = k**2 + k - 18. Let o be i(s). Let f be h(o). Solve 3*t - y + f - 20 = 0, 2*t - 4*y = 4 for t. 4 Let g be 1300/104 - (-4)/(-8). Solve 9*z + 3 = 5*z + n, -2*n - g = z for z. -2 Suppose 8 = 3*d - 76. Let x be 2/d*-2 - 493/(-119). Solve x*k + 16 = -v - 3*v, 5*k + 26 = v for k. -5 Let f(l) = -l - 41. Let o(j) = -j - 21. Let n(p) = 2*f(p) - 5*o(p). Let x be n(-7). Solve -4*i + 2*i + x = -3*h, 2 = 3*h + 2*i for h. 0 Let c be 15/6 + -3 - 1/(-2). Let k be 9 + (-20)/(-4 + c)*-1. Solve 0*d = -d + w + 5, -k*d + w = -20 for d. 5 Suppose 5 = 3*l + y, -109*y - 7 = -3*l - 108*y. Solve -4*u + 46*c = 43*c, -5*c + 14 = -l*u for u. 3 Let w = 22009 - 22005. Solve -2*y = 2*h + 2, 3*y - 3 = -h + w*y for h. 1 Suppose 2*p - 3*f - f - 6 = 0, 3*p = -3*f + 9. Suppose 0 = -i + p*i + 114. Let c = -25 - i. Solve -4*v + c = 4*n, -v + 10 = 5*n - 2*v for n. 3 Let q be (1 + -239 - -9) + 5. Let u = 232 + q. Solve -5 - 4 = -4*l + a, 3*l - u = 2*a for l. 2 Suppose -5*f + 0 = 3*q + 1, -4*q - 10 = -2*f. Let d be f/2 + (2 - (-10)/(-4)). Let x be (-3)/(-3 - -6)*d. Solve 4*t + 2 = -x*t + 2*j, 4*t = 4*j for t. -1 Let z = 6415 + -6403. Let d(u) = -9*u**2 + u**3 + u + 3*u**2 - 10 - 6*u**2. Let o be d(z). Solve l + 2 = 5*p, o*l + 2*p - 2 + 6 = 0 for l. -2 Suppose -w + 198 = 66. Let k be -1 - (w/(-36) + (-2)/(-3)). Solve 10*r - 5*r - 19 = -g, -k*g + 2*r = -2 for g. 4 Let q be -3*5*(6/51 + 92/(-204)). Solve 0 = 2*w - q*s - 14, -5*w + 3*s - 51 = -48 for w. -3 Suppose -6 = -2*o - l, 3*o - 14*l = -9*l + 22. Suppose -7*q = -0*q + o*q. Solve 3*i = 3*t + 2*i - 1, i - 2 = q for t. 1 Suppose 2*u - 23 = 5*m, 7 = 81*u - 83*u - 5*m. Solve -6*o + 11*o = u*y + 60, 3*o - 29 = y for o. 8 Let m(s) = 2*s + 30. Let c be m(-10). Let h(a) = 4*a**2 - 39*a. Let b be h(c). Solve g + 4*u + 28 = -4*g, 0 = -g - 3*u - b for g. -4 Let o be ((-105)/(-33) - 3) + 786/33. Suppose 2*g + 28 = 5*s, -o = -5*s - 6*g + 7*g. Solve 0 = 3*q + s*y - 17, 3*y - 2 = -4*q + 9 for q. -1 Let v be (-35862)/(-559) - (-2)/(-13). Suppose -5*t - 2*o + v = 0, -8*t = -4*t + 3*o - 54. Solve 4*b = 3*w + t, -2*w = -4*b + 3*w + 20 for b. 0 Let x = -3544 - -3545. Solve 4*j - x = 2*q - q, 21 = -j - 4*q for j. -1 Let f(q) = -q**3 + 7*q**2 - 8*q + 11. Let z be f(5). Let l = z + -19. Solve l*s = 2*v - 2, 4*v = -4*s - 7 - 21 for s. -4 Let c(i) = 2*i**3 + 10*i**2 - 6*i + 1. Let b be c(-6). Let a = 94 + -57. Let f = a + b. Solve 0 = f*k - 5*q + 3, -k + 3*k + 11 = -3*q for k. -4 Let x(t) = -t**2 - 8*t + 16. Let r be x(-10). Let j(l) = 16*l**2 - 1 - 21*l**2 - 6 - 7*l - l**3. Let p be j(r). Solve -4*k + p*v = 2, -k = 2*v + 2*v - 10 for k. 2 Suppose -11 + 59 = 4*a. Suppose -2*c + 3*c = -a. Let r be ((-16)/12)/(8/c). Solve 3*k + 5*n - r*n = -9, 2*n + 13 = 5*k for k. 1 Let h(u) = -u**3 + 2*u**2 + 10*u + 6. Let a be h(6). Let i = 80 + a. Solve -m + i*v - 2 = 0, -m + 3*v - 5*v + 6 = 0 for m. 2 Let d(f) = 4*f**3 + f**2 - 1. Let c be d(1). Let p = -291 + 174. Let x = 133 + p. Solve -2*s + c*s = -4*o + x, o = -s + 3 for s. -2 Suppose -56 = -4*c + 4*g, -3*g - 20 = 6*c - 7*c. Suppose x - 13 = -c. Solve o - 7 = -4*i, -3*o = -x*i - 5*o + 2 for i. 2 Let k = -4049 - -4053. Solve k*v = 5*v - z - 2, 0 = -2*v + z + 3 for v. 1 Suppose 10*t + t + 2420 = 0. Let w = 225 + t. Solve -3*d - w = j, -3 = 2*j - 3*j + 5*d for j. -2 Suppose -55*a = -47*a + 136. Let d be 36/14 + -2 + a/(-7). Suppose 0*z - 2*z = -12. Solve 0 = -5*v + 4*h + 33, -v + d*h + z + 5 = 0 for v. 5 Let w = 39 - 34. Let h be 174/10 + 3/w. Let u be 3*(25/(-15) + 3). Solve -4*o + h = -8*i + 3*i, -u*i = o + 6 for o. 2 Let i be (-13)/(130/15)*18/(-1). Suppose 7*a - i = -2*a. Solve 2*c - 7 = -4*g + a, 11 = -g - 5*c for g. 4 Suppose 5 = 3*w - 2*w. Suppose -5*r + 10 = -w. Suppose 2*g + 1 = 3*u, 0 = 77*g - 81*g - 3*u + 25. Solve -2*p - 6*j = -g*j - 14, p + 13 = r*j for p. 2 Let g be 496 - 2/(65/(-15) - -5). Let f = -489 + g. Solve i + 4*h - 21 = 0, -2*h + 9 + f = 3*i for i. 1 Let y(j) = j**3 - 3*j + 3. Let a be y(2). Let w(v) = v + 3. Let k be w(-1). Let h be 0 + 0*(-1)/k + 0. Solve 0*o + 2*o + l + 11 = h, 10 = -a*o + l for o. -3 Let c(w) = w**3 + 25*w**2 + 26*w + 82. Let i be c(-24). Solve -2*j + 5*f - i = 0, -j + 4*j = -f for j. -2 Let s(i) = i**3 - 35*i**2 + 69*i - 94. Let f be s(33). Solve -f*b = -j - 2 - 19, -b = -5*j - 9 for b. 4 Suppose -2 = -2*t + 2. Suppose 27*c + 90 = 306. Let u(r) = 31*r**2 - r + 1. Let x be u(1). Solve 7*i = -3*v + t*i + x, -v = -2*i + c for v. 2 Let i be -6 + (-66)/(-6 - 0). Solve 3*w + 12 = -5*t, i*w - 9*t + 20 = -10*t for w. -4 Let u be -4*57/(-6) + 4 + -9. Let x be 202/22 + (-4)/22. Suppose 3 = x*f - u. Solve i = -d - 4 + 9, -i = f*d - 14 for d. 3 Let r(h) = h**3 + 5*h**2 - h - 3. Let d be r(-2). Suppose 24*m = d*m + 78. Solve -m*k + 2*k + 2*s = -10, -4*s - 12 = -4*k for k. 2 Let w be 361350/528 + (-2)/16*3. Let z = w + -684. Solve 5*y - 2*o + z*o + 33 = 0, 17 = -y + 3*o for y. -5 Suppose 4*w = -p - 1, 2*w = 7*p - 3*p - 50. Suppose 2*m = 8*c - p*c + 6, 2*c + 12 = 4*m. Solve 0*h + 4*h + 7 = -v, c = h + 4*v - 2 for h. -2 Suppose 126*a = 119*a + 1043. Suppose -a*h + 25 = -144*h. Solve 2*l + h*z = -13, -3*z = -0*l + l + 7 for l. -4 Suppose 5*q - 25 = -4*n, -25 = -5*q + 115*n - 113*n.
{ "pile_set_name": "DM Mathematics" }
on multiple of 16656 and 32. 33312 Find the common denominator of 143/17340 and -1/29478. 294780 What is the lowest common multiple of 1 and 26435? 26435 What is the common denominator of -49/359440 and 1/143776? 718880 Calculate the common denominator of 37/1640 and -19/153340. 306680 Calculate the common denominator of 27/133 and -61/494872. 9402568 What is the least common multiple of 155241 and 243? 4191507 What is the least common multiple of 481818 and 10? 2409090 What is the common denominator of -10/51 and -27/3298? 9894 Find the common denominator of 163/672 and -89/11508. 92064 What is the lowest common multiple of 5460 and 2382? 2167620 What is the common denominator of 121/15820 and -113/980? 110740 Calculate the smallest common multiple of 138510 and 69255. 138510 Calculate the least common multiple of 414 and 9591. 57546 What is the common denominator of -69/5408 and 81/37024? 481312 What is the smallest common multiple of 385299 and 93? 385299 What is the smallest common multiple of 8316 and 4851? 58212 What is the least common multiple of 184576 and 6? 553728 Calculate the smallest common multiple of 6 and 946821. 1893642 Calculate the common denominator of -77/132970 and -45/53188. 265940 Calculate the common denominator of -34/88495 and -76/619465. 619465 Find the common denominator of -71/988 and 83/51870. 103740 Calculate the smallest common multiple of 630 and 24. 2520 Calculate the smallest common multiple of 22 and 176714. 1943854 Calculate the common denominator of -85/71574 and -85/3926. 930462 Calculate the common denominator of -1/282490 and 127/2460. 1694940 Calculate the least common multiple of 42588 and 32760. 425880 Calculate the common denominator of 121/126 and 79/47376. 47376 Calculate the smallest common multiple of 127260 and 106050. 636300 What is the common denominator of -1/6063 and -41/1365? 2758665 Find the common denominator of 89/849922 and -19/14. 5949454 What is the smallest common multiple of 5364 and 4206? 3760164 Calculate the common denominator of -137/684 and -55/59508. 59508 Find the common denominator of 101/250090 and 31/50. 1250450 Calculate the common denominator of -79/17836 and 53/65. 89180 Calculate the least common multiple of 5871 and 42. 82194 What is the common denominator of -16/1365 and 131/816? 371280 What is the lowest common multiple of 70092 and 4356? 771012 What is the common denominator of -49/156 and 40/97227? 388908 Calculate the least common multiple of 732 and 8296. 24888 What is the common denominator of -15/328 and 53/1728? 70848 What is the common denominator of 169/265848 and -95/24? 265848 Calculate the lowest common multiple of 28135 and 580. 3263660 What is the least common multiple of 16 and 14296? 28592 What is the lowest common multiple of 41610 and 1520? 332880 Find the common denominator of 45/14 and 37/18086. 126602 Calculate the common denominator of -61/108 and 67/67836. 610524 Find the common denominator of -59/2926 and 83/8316. 158004 Calculate the common denominator of -107/12190 and -103/106. 12190 What is the common denominator of 107/875434 and -87/8? 3501736 Calculate the smallest common multiple of 1402921 and 36088. 11223368 Find the common denominator of 44/1558255 and 111/84230. 3116510 What is the common denominator of 41/60335 and -43/16455? 181005 Calculate the lowest common multiple of 20 and 790968. 3954840 Calculate the least common multiple of 851930 and 45. 7667370 Calculate the least common multiple of 9300 and 7750. 46500 Calculate the common denominator of -119/20 and 131/180234. 1802340 What is the common denominator of -13/10360 and -137/280? 10360 What is the common denominator of 97/874818 and -77/16? 6998544 Calculate the lowest common multiple of 10 and 32686. 163430 What is the common denominator of 11/60 and -68/11043? 220860 Find the common denominator of -121/470 and -33/13207. 132070 What is the smallest common multiple of 11470 and 206460? 206460 Calculate the least common multiple of 120 and 15146. 908760 Calculate the smallest common multiple of 3860 and 12545. 50180 What is the common denominator of -5/3123527 and 13/851871? 9370581 Calculate the smallest common multiple of 3246 and 66. 35706 Find the common denominator of -97/100 and 29/4680. 23400 Calculate the common denominator of -42/5 and 31/42901. 214505 Calculate the lowest common multiple of 10208 and 47212. 377696 Calculate the common denominator of -45/152 and 79/29754. 119016 Calculate the smallest common multiple of 75924 and 23532. 4023972 Calculate the least common multiple of 148 and 96. 3552 Calculate the least common multiple of 47232 and 125952. 377856 Find the common denominator of 109/120 and 53/78504. 392520 Calculate the smallest common multiple of 9326 and 88597. 177194 Calculate the lowest common multiple of 8362 and 678. 25086 What is the common denominator of -67/237174 and 47/30? 1185870 Calculate the least common multiple of 11890 and 1979685. 3959370 Calculate the common denominator of 65/1802 and 95/16. 14416 Calculate the lowest common multiple of 8320 and 3328. 16640 What is the common denominator of -63/1300888 and 34/7? 9106216 What is the smallest common multiple of 105 and 1190? 3570 Calculate the smallest common multiple of 1938 and 627. 21318 Calculate the lowest common multiple of 36 and 7212. 21636 What is the lowest common multiple of 7616 and 56? 7616 Calculate the common denominator of -101/8910 and 199/2310. 62370 What is the lowest common multiple of 6 and 5484? 5484 Calculate the least common multiple of 188 and 694. 65236 What is the least common multiple of 1336 and 48336? 8072112 Calculate the common denominator of -13/4450 and -27/185. 164650 Find the common denominator of -41/220229 and -65/46364. 880916 What is the least common multiple of 691460 and 420? 2074380 Calculate the common denominator of -37/276654 and 31/198. 9129582 Calculate the lowest common multiple of 29859 and 21. 209013 Calculate the common denominator of 13/2250 and -187/3750. 11250 Calculate the common denominator of 19/6966 and 92/17415. 34830 What is the common denominator of 73/2752 and -27/89096? 712768 What is the smallest common multiple of 46 and 32844? 32844 What is the lowest common multiple of 4550 and 179270? 896350 Find the common denominator of 27/817 and 49/85557. 3678951 Find the common denominator of 52/275 and 57/260. 14300 What is the least common multiple of 5166 and 2296? 20664 What is the common denominator of 20/844371 and -37? 844371 What is the smallest common multiple of 52884 and 2486? 581724 What is the common denominator of -42/11 and -14/11875? 130625 Find the common denominator of 31/32 and -19/1740336. 3480672 Calculate the common denominator of -99/16 and 95/6352. 6352 What is the common denominator of -107/25908 and 73/8382? 284988 Calculate the common denominator of 109/81510 and 115/5928. 326040 What is the common denominator of -79/12 and 65/4443? 17772 Calculate the common denominator of -34/364965 and -59/875916. 4379580 What is the common denominator of -109/2074 and 23/162? 167994 What is the smallest common multiple of 35 and 92545? 647815 What is the common denominator of -19/12 and 67/193446? 386892 Calculate the lowest common multiple of 660 and 580. 19140 Find the common denominator of 57/12118 and -97/584. 48472 What is the lowest common multiple of 2826 and 114? 53694 Find the common denominator of 28/67419 and -107/12. 269676 Find the common denominator of 34/169 and 64/5265. 68445 Calculate the lowest common multiple of 1151544 and 14. 8060808 What is the least common multiple of 9180 and 54? 9180 What is the lowest common multiple of 1 and 6543? 6543 What is the common denominator of -76/777 and -23/1221? 8547 Calculate the lowest common multiple of 638144 and 2496. 1914432 Calculate the common denominator of -115/32928 and 149/3360. 164640 Calculate the least common multiple of 49518 and 21. 49518 Find the common denominator of 47/6 and -99/993808. 2981424 What is the common denominator of -31/359144 and 57/128? 5746304 Calculate the lowest common multiple of 288776 and 577552. 577552 Find the common denominator of -173/32580 and -31/11403. 228060 What is the least common multiple of 5109 an
{ "pile_set_name": "DM Mathematics" }
*2 Let f(p) = -11133*p - 189. Let q(l) = 237*l + 4. Give -4*f(i) - 189*q(i). -261*i Let y(w) = 5*w**2 + 10*w + 6. Let r(m) = -425*m**2 + 32*m - 22. Let c(i) = 196*i**2 - 15*i + 10. Let d(k) = -13*c(k) - 6*r(k). Determine -11*d(n) + 4*y(n). -2*n**2 + 7*n + 2 Let c be 10/(-4)*180/(-225). Let n(b) = -3*b**3 - 2*b**2 - 2*b + 4. Let u(o) = 8*o**3 + 7*o**2 + 7*o - 11. Calculate c*u(x) + 7*n(x). -5*x**3 + 6 Let c(m) = m**2 + 4*m - 6. Let a(i) = 11*i - 20. Let y(p) = 5*p - 10. Let o(l) = -a(l) + 2*y(l). Give -c(u) - 6*o(u). -u**2 + 2*u + 6 Let g(t) = -5*t + 3. Let i(n) = -4*n**2 + 13*n + 9. Let x be i(4). Let o(b) = 6*b - 2. Determine x*o(q) - 4*g(q). 2*q - 6 Let c(o) = -71*o - 16. Let k(v) = -55*v - 16. Give 6*c(j) - 7*k(j). -41*j + 16 Let b(x) = 17*x**3 + x. Let q(s) = 49*s**3 + s**2 + 3*s - 477. What is -3*b(f) + q(f)? -2*f**3 + f**2 - 477 Let g(v) = -7*v + 320. Let w(u) = -19*u + 967. Give -11*g(o) + 4*w(o). o + 348 Let j(a) = 14*a - 3. Let y(n) = -7*n + 2. Suppose -9140 = -4*d - 3*r, 0 = -2*d - d + 3*r + 6876. Suppose -2285*q + 21 = -d*q. Calculate q*y(i) - 4*j(i). -7*i - 2 Let b(l) = l**2 - 1. Let q(h) = 2*h**3 - 7*h**2 + h + 2. Let x be q(3). Let j(y) = 1. Give x*b(i) - 4*j(i). -4*i**2 Let o(h) = -h**3 + 20. Let x be (12 - -7 - 14) + -3. Let j(u) = 5. Give x*o(a) - 9*j(a). -2*a**3 - 5 Let r(f) = 2*f**3 - 5*f**2 + 6*f - 4. Let w be 268/1742 - (-264)/(-26). Let s(p) = p**3 + p**2 - p + 1. Give w*s(o) - 2*r(o). -14*o**3 - 2*o - 2 Let z(a) = -a**2 + 17*a + 1361. Let v(k) = -k**2 + 29*k + 2721. Give -3*v(u) + 5*z(u). -2*u**2 - 2*u - 1358 Let j(i) = -1725*i + 10. Let d(g) = -3445*g + 24. Give -3*d(t) + 7*j(t). -1740*t - 2 Let w(t) = -15. Let n(r) = -176*r + 89. Determine n(s) + 6*w(s). -176*s - 1 Let f(c) = c**2 + c - 523. Let n(x) = 4*x**2 + 3*x - 2081. What is 9*f(s) - 2*n(s)? s**2 + 3*s - 545 Let c(n) = 59*n + 146. Let v(d) = -122*d - 295. Give 5*c(z) + 2*v(z). 51*z + 140 Suppose -6*i = -11*i + 10. Suppose -2*a + i = 0, 0*a + 4*a - 16 = 3*b. Let c be 1/(b/44) + 4. Let u(r) = -9*r + 5. Let m(n) = -5*n + 3. Give c*m(w) + 4*u(w). -w - 1 Let y = -15 + 30. Let g = y - 22. Let r(f) = -2*f**3 + 3*f + 2. Let p(c) = 4*c**3 - 7*c - 5. Suppose -3 = 3*h + 6. Give g*r(i) + h*p(i). 2*i**3 + 1 Let r(g) = -8*g - 1. Let b(z) = 3*z**2 + z + 4. Let s be b(4). Let h(i) = 24*i - s*i + 23*i - 2. Give 2*h(v) - 3*r(v). 6*v - 1 Suppose -72*w = -70*w - 3542. Let g(s) = -w*s + 0 - 1 + 1772*s. Let i(r) be the second derivative of 5*r**3/3 - 7*r**2/2 + 3*r. Determine -5*g(t) + i(t). 5*t - 2 Let w(s) = 2203*s - 1. Let c(a) = 6610*a - 3. Determine -4*c(z) + 11*w(z). -2207*z + 1 Let b(s) = 13*s**2 - 12*s - 12. Let r(d) = -119*d**2 + 112*d + 112. Let j(w) = 28*b(w) + 3*r(w). Let p(t) = -t. Calculate -j(z) + 3*p(z). -7*z**2 - 3*z Let u(t) = 5*t**2 - 2*t + 2. Let s(m) = 444*m - 11098. Let y be s(25). Let x(r) = r - 2*r - 3 + 4. Give y*x(p) - u(p). -5*p**2 Let y(k) = 19 + 15 - 44 + 4*k - 3*k + 9. Let c(b) = 11*b**3 - 2*b**2 - 2*b - 1. Calculate c(x) + y(x). 11*x**3 - 2*x**2 - x - 2 Let g(z) = -10. Suppose -51 = -8*f - 35. Let c(q) = 12 - q - 19 + f*q + 28. Determine -2*c(p) - 5*g(p). -2*p + 8 Let l(o) = -10*o**2 - 3. Let p(a) = 44*a**2 + 14. Let t(c) = 18*l(c) + 4*p(c). Let j(f) = 9*f**2 + f - 4. Determine -3*j(d) - 7*t(d). d**2 - 3*d - 2 Let n(y) = 6*y - 9. Let i(z) = 9*z - 1. Let s(h) = -4*h + 1. Suppose 0 = -0*a - 29*a + 58. Let q(k) = a*i(k) + 5*s(k). Calculate 3*n(t) + 8*q(t). 2*t - 3 Let m(t) = 228*t - 13. Let j(c) = 112*c - 6. Determine 9*j(p) - 4*m(p). 96*p - 2 Let d(y) be the first derivative of -y**3 + 66*y + 621. Let g(s) = s**2 - 22. Calculate 4*d(p) + 14*g(p). 2*p**2 - 44 Let r(h) = -h + 1. Let j(g) = -2569 + 2*g + 645 + 643 + 641 + 646. Give -4*j(z) + 24*r(z). -32*z Let p(u) = 865*u**3 - 99*u**2 - 3*u + 26. Let n(r) = 433*r**3 - 54*r**2 - 2*r + 14. Give 11*n(i) - 6*p(i). -427*i**3 - 4*i - 2 Let o(y) = -17*y - 81. Let h(t) = 3. Give 2*h(a) + o(a). -17*a - 75 Let b(h) = -14*h**3 + 16*h**2 - 63*h - 14. Let n(d) = 8*d**3 - 9*d**2 + 33*d + 7. Determine -3*b(v) - 5*n(v). 2*v**3 - 3*v**2 + 24*v + 7 Let h(j) = 2*j + 1. Let b be h(3). Let a(v) = v**2. Let n(s) be the third derivative of -s**5/60 + 1670*s**2 - 2*s. Give b*n(d) + 5*a(d). -2*d**2 Let s(z) = -2*z**3 - z**2 - 2*z + 3. Let h = 3362 - 3360. Let x(l) = -l**3 - l + 7*l**3 + 2*l**3 + 1 - 9*l**3. Give h*s(o) - 6*x(o). 2*o**3 - 2*o**2 + 2*o Let f(b) = -2*b - 27. Let t(g) = g + 9. Let r(w) = -6*f(w) - 17*t(w). Let q(l) = -4*l + 9. Let y = 92108 + -92114. What is y*r(i) + 7*q(i)? 2*i + 9 Let t(f) = 2*f**3 + 4*f**2 - 2206*f + 8. Let d(r) = r**2 - r + 2. Give 4*d(n) - t(n). -2*n**3 + 2202*n Let b(m) = -36*m**3 + 4*m**2 + 4*m. Let u(h) = -180*h**3 - 13*h**2 + 12*h**2 + 21*h + 3 - 3 + 22*h**2. Calculate 21*b(j) - 4*u(j). -36*j**3 Let r(v) = 23*v**2 + 71*v - 3. Let o(j) = -15*j**2 - 48*j + 2. Calculate -8*o(f) - 5*r(f). 5*f**2 + 29*f - 1 Let d(r) = -4*r**3 + 3*r + 1. Let w(p) = p**3 + p**2 + 1. Let j be 2/(-5) + (6/(-7))/(1080/756). Give j*d(m) + w(m). 5*m**3 + m**2 - 3*m Let a(c) = -8*c**2 - 4*c + 3. Let f(g) = -47*g + 8 + 8 + 21*g - 14 + 24*g - 4*g**2. Give 4*a(o) - 7*f(o). -4*o**2 - 2*o - 2 Let s(x) = -99*x**2 - 7*x - 1. Let d(l) = 298*l**2 + 18*l + 3. Calculate 3*d(p) + 8*s(p). 102*p**2 - 2*p + 1 Let s(h) = 4 - 3 - 2. Let m(o) be the first derivative of o**2 + 31. Let y(i) = i**3 - 8*i**2 + 19*i - 14. Let t be y(4). What is t*m(d) + 2*s(d)? -4*d - 2 Let o(m) = 4*m**3 - 7*m**2 - 6. Let t = 18 + -11. Let l(b) = -5*b**3 + 8*b**2 + 7. Let a be ((-99)/(-198))/(3/2*6/108). What is a*l(g) + t*o(g)? -2*g**3 - g**2 Let v(n) = -405*n + 111. Let g(j) = -86*j + 1. Calculate -5*g(o) + v(o). 25*o + 106 Let d(r) = 1 + 10*r + 66*r**2 + 6 - 68*r**2 + 1 - 5*r. Let u(k) = 4*k**2 - 9*k - 15. Let y(z) = -z**3 + 7*z**2 - 7*z + 5. Let p be y(2). Give p*d(h) + 6*u(h). 2*h**2 + h - 2 Let m(h) be the second derivative of h**4/12 + 3*h - 17. Let a(p) = 10*p - 7*p**2 + 15*p - 28*p - 1. Give -a(g) - 5*m(g). 2*g**2 + 3*g + 1 Let i(m) = 6*m**3 + 39*m**2 - 123*m - 7. Let h(d) = -d**3 + d**2 + 21*d + 1. Give -7*h(j) - i(j). j**3 - 46*j**2 - 24*j Let a(k) = 5*k + 9119. Let h(z) = 8*z + 18224. Calculate 5*a(q) - 3*h(q). q - 9077 Let o(y) = 2*y**2 - 6*y - 1. Let z(a) = -a - 1. Let l(k) = 292*k + 874. Let m be l(-3). Calculate m*z(c) + o(c). 2*c**2 - 4*c + 1 Let s(m) = -3*m. Let z(d) = -1. Let p(u) = -s(u) - 2*z(u). Suppose -2*c - 2*l + 8 + 6 = 0, -5*l = -3*c + 13. Let y(j) = -8*j - 6. Calculate c*y(h) + 17*p(h). 3*h - 2 Let l(h) = -10*h - 9. Suppose 0 = -5*u + 5*s + 405, 4*s + 266 = 3*u + 27. Suppose 25*k - 42*k + u = 0. Let w(n) = -5*n - 5. Give k*w(f) - 3*l(f). 5*f + 2 Let m(g) = 2*g**2. Let q(c) = -c**2. Suppose 5*h = -2*k - 27, 13 = -18*k + 20*k - 3*h. What is k*m(v) + 10*q(v)? -12*v**2 Let d(x) = 87*x - 73. Let c(p) = -97*p + 73. Give -9*c(n) - 10*d(n). 3*n + 73 Let v(p) = 2*p**2 - p + 2. Suppose 5*j - 24 = 3*b, 5*b + 3*j = 2*b. Let f(h) = -2*h**2 + 2*h - 3. Let t = -11702 - -11700. Calculate b*v(k) + t*f(k). -2*k**2 - k Suppose 73*w = 88*w - 12 - 18. Let j(b) be the first derivative of 5/2*b**w - 11/3*b**3 + 19 + 0*b. Let c(h) = -17*h**2 + 8*h. What is -5*c(m) + 8*j(m)? -3*m**2 Let u(o) = -866*o - 456. Let p(j) = 2599*j + 1292. Give -6*p(z) - 17*u(z). -872*z Suppose 12*k - 92 = 256. Suppose -k*b = -32*b + 9. Let p(i) = i + 3. Let g(u) = -u - 3. Calculate b*g(d) + 2*p(d). -d - 3 Let y(u) = 2*u - 281*u**2 + 1 - 2*u + 4*u + 571*u**2 - 284*u**2. Let a(p) = p**3 - 18*p**2 - 11*p - 2. What is 3*a(i) + 8*y(i)? 3*i**3 - 6*i**2 - i + 2 Let c = 13 + -11. Let r(t) = -t**2 - 20*t - 87. Let p be r(-8). Let q(a) = -4. Let o(j) be the first derivative of j**2/2 + 17*j + 4. What is c*o(w) + p*q(w)? 2*w - 2 Let k(z) = 13*z**2 + 2. Let j(w) = -20 - 4*w**2 + 69 - 50 + 0*w**2. Determine -8*j(v) - 3*k(v). -7*v**2 + 2 Let m(q) = 5*q**3 - 2. Let b(z) = -1 + 0 + 16*z**3 - 3 - 1 - 6*z**3. Let v be -5*(12/(-3) - -3*1). Give v*m(s) - 2*b(s). 5*s**3 Let k(s) = 0 + 6*s - 4*s**2 - 1 + 2*s**2. Let z(x) be the third derivative of -x**5/15 + 11*x**4/24 - x**3/6 + 275*x**2 + 22*x - 2. Give -11*k(w) + 6*z(w). -2*w**2 + 5 Let t(r) = 949*r**2 - 7. Let u(i) = -943*i**2 + 9. Calculate -3*t(y) - 2*u(y). -961*y**2 + 3 Let o(h) = 9*h**3 - 1024*h**2 - 13*h. Let c(i) = -4*i**3 + 509*i**2 + 6*i
{ "pile_set_name": "DM Mathematics" }
83, 4097099 What are the prime factors of 2234002781? 2234002781 What are the prime factors of 865966555? 5, 31, 5586881 List the prime factors of 1741546319. 47, 37054177 List the prime factors of 71017869. 3, 13, 31, 58741 What are the prime factors of 1663420862? 2, 17, 613, 79811 List the prime factors of 103786600. 2, 5, 518933 What are the prime factors of 182305199? 23, 823, 9631 What are the prime factors of 144282672? 2, 3, 17, 3467 List the prime factors of 1158682358. 2, 19, 1459, 20899 What are the prime factors of 907745560? 2, 5, 137, 151, 1097 What are the prime factors of 534890584? 2, 17, 19, 317, 653 What are the prime factors of 2151645612? 2, 3, 109, 1644989 What are the prime factors of 42912710? 2, 5, 23, 43, 4339 What are the prime factors of 269580108? 2, 3, 7, 109, 29443 List the prime factors of 2308787632. 2, 3739, 38593 List the prime factors of 2182449916. 2, 545612479 What are the prime factors of 5127439315? 5, 67, 281, 54469 What are the prime factors of 414589863? 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{ "pile_set_name": "DM Mathematics" }
Let c be (8/(-20))/(g/(-10)). Solve -4*o - 9 = -c for o. -2 Suppose 199 - 1069 = -29*k. Solve -19*z + k = -13*z for z. 5 Let x(r) = r**3 + 18*r**2 + 13*r - 64. Let y be x(-17). Solve 3*s = -y + 1 for s. -1 Suppose -5*h = 2*y + 10, 2*h + 3 = 5*y - 6*y. Solve 2*w = -y*w for w. 0 Let v(o) = -20*o**3 + 3*o**2 - 2. Let s be v(1). Let j = 24 + s. Solve -j*h - 5 = 15 for h. -4 Suppose -10 = -3*w - 2*w + 5*p, -3*w - p = -14. Suppose -t = -w*t + 21. Solve 18 + t = 5*d for d. 5 Suppose 0 = -2*y - 6*x + 5*x - 171, y - 3*x + 89 = 0. Let i = 86 + y. Solve 3*f + 16 - 4 = i for f. -4 Let p = -4 - 2. Let i(l) = -6*l. Let g be i(p). Suppose -f + 12 = 3*f + q, -5*q = -4*f + g. Solve 0 = -3*w - w + f for w. 1 Let h(b) = -b + 4. Let i = -27 - -18. Let x be h(i). Let g = 18 - x. Solve g = -3*p + 2 for p. -1 Let o be 556/695*(-1 + 7/2). Solve o*g + 3*g = 5 for g. 1 Let g = 0 - 13. Let h(q) = -q**3 - 12*q**2 + 12*q - 11. Let z be h(g). Solve -2*i + z = 6 for i. -2 Suppose 409 - 1634 = -5*q - 5*a, -4*a = -2*q + 460. Solve q*z = 244*z + 12 for z. -3 Let a = 102 + -95. Solve a*d - 3 = -17 for d. -2 Let a(d) = 4 + 10 + 0*d**2 - d**2 - 3 - 7*d. Suppose -v = v + 16. Let n be a(v). Solve n - 23 = -5*z for z. 4 Let g = -91 + 95. Solve -2 = g*n - 10 for n. 2 Suppose 12 = 3*z - 0*z. Suppose 0 = -z*k - k + 20. Solve -9 + k = -a for a. 5 Suppose -10 = -5*v, 21*m - 25*m - 2*v = -56. Solve -17 = 6*l + m for l. -5 Suppose 0*p = -2*t - 2*p + 44, 0 = 5*p - 10. Solve 0 = 3*q - 8*q + t for q. 4 Let a(t) = t**3 + t**2 + t + 6. Let u be a(-2). Solve u = 5*w + 15 + 5 for w. -4 Let q = -67 - -112. Let o = q + -41. Let i(x) = -x**3 - x + 13. Let y be i(0). Solve 0 = -o*w - 7 - y for w. -5 Let l(f) = f**2 - 5*f - 4. Let x be l(6). Suppose 0 = -4*k + 396*j - 401*j, 3*k = 4*j + 31. Solve -x*y - 6 = -k*y for y. 2 Suppose -16*s = -23*s. Solve -5*r - 17 + 42 = s for r. 5 Suppose -112*z + 78*z = -374. Solve 0 = -z*d + 41 + 3 for d. 4 Suppose 2*h - 2 = 2. Suppose h*b + 6 - 16 = 0. Suppose l - 2*l + x = 0, -5 = -b*x. Solve -u - 3 - l = 0 for u. -4 Suppose 0*h + 2*t + 28 = -2*h, 77 = -3*h + 4*t. Let m(c) = -c**2 - 4*c + 8. Let i be m(-6). Let z be h/i + (-10)/(-40). Solve -36 + 11 = -z*w for w. 5 Let u be (-345)/(-39) - 28/(-182). Solve -d = -u + 7 for d. 2 Suppose 9 = -2*a + 5. Let w(n) = -n + 2. Let f be w(a). Solve f*d = -1 - 7 for d. -2 Let z(i) = 7*i + 139. Let g be z(-16). Solve -5*k + g = -14*k for k. -3 Let g be (-225)/(-81) - 2/(-9). Suppose 0 = -c + g*c. Suppose c = 4*a - 16 - 0. Solve a*f = -f for f. 0 Let s = -27 + 5. Let v = 22 + s. Suppose v*b = 2*b. Solve 0 = -2*y - b*y - 6 for y. -3 Let d be 96/10 + (-21)/35. Suppose 0 = d*j - 74 - 34. Solve -2*c - 2*c = j for c. -3 Let d = 339 + -337. Solve 4 = -d*z + 10 for z. 3 Suppose -a - 14 = -n + 3*a, a = 5*n - 32. Let b(t) = -t**3 + 6*t**2 - 3*t + 18. Let x be b(n). Solve x = 2*l - l - 2 for l. 2 Let t be -1 - (21 + 1 - -3). Let r be 9 - 5 - (31 + -2). Let v = r - t. Solve -v = k - 2 for k. 1 Suppose -3*t + 2*g + 164 = 0, 0 = -2*t + 7*g - 2*g + 102. Solve -t*o + 52*o - 20 = 0 for o. -5 Let r = -63 + 65. Solve -r*a - 35 = -33 for a. -1 Let t(x) = -x**3 - 13*x**2 - 11*x + 15. Suppose 9 = 3*o, 2*q - 4*q = 2*o + 18. Let j be t(q). Solve m + j - 5 = 0 for m. 2 Let x be 0*(28/8 - 3). Let f be (-3)/(2/(2*3)). Let s be f/(-3) - x/(-4). Solve -w = -s*w for w. 0 Let c be 14/(-49) + 6/21. Solve 0 = -c*o - 5*o for o. 0 Let j(x) = -x**2 + 13*x + 5. Let m(v) = v**3 + 6*v**2 + 3*v + 3. Let p be m(-5). Let c be j(p). Solve 2*h - 3 = c for h. 4 Let k = -150 - -152. Let t be (8/6)/(2/54). Let j be ((-12)/t)/(k/(-150)). Solve 4*f + j = -f for f. -5 Suppose 10 = 2*g - 4*g. Suppose -11*f - 187 = -0*f. Let i be f/g + 4/(-10). Solve 11 = 2*a + i for a. 4 Suppose 0 = g + 21 - 26. Let o = g + -5. Solve -5*u + 2*u = o for u. 0 Let n(t) = -t**2 + 8*t - 11. Let f be n(5). Let v(c) = c**2 - 6*c + 10. Let p be v(f). Suppose 0 = m - 4*u - 19, 5*m + p*u + 1 = 8. Solve -2*q = q + m for q. -1 Suppose -6 = -3*w - 0. Solve -4*l + w*l = 0 for l. 0 Let a(d) = -3*d - 2 + 6 + 2*d. Let p be a(3). Solve p = -0*f - f for f. -1 Suppose 0 = 5*c - 4*g + 3*g - 19, -4*g = -2*c + 4. Solve -c*k = -0*k - 20 for k. 5 Let a(n) = n**2 + 7*n + 10. Let j(l) = l + 14. Let h be j(-12). Suppose 5*v - h*v = -21. Let f be a(v). Solve 0*c - 5*c = f for c. -2 Suppose -788*q + 791*q = 39. Solve 37 = -10*h - q for h. -5 Let i = 11 - 8. Let v(a) = a**3 - 2*a**2 - a - 2. Let d be v(i). Suppose 6*k - 52 = -52. Solve 0 = -k*y - y - d for y. -4 Let o = 19 - 30. Let d(k) = k + 12. Let v be d(o). Solve -g - 4 = -v for g. -3 Let p = 692 + -690. Solve 0 = -p*t + 8*t + 4*t for t. 0 Suppose 0 = -h - 5*k - 90, -h + 3*k = -3*h - 145. Let u = -62 - h. Solve u = -3*o + 12 for o. 3 Suppose 4*w = -41 + 1. Let g be w/(-15)*(0 - -3). Solve 0 = -g*v - v for v. 0 Suppose 3 = -216*h + 219*h. Solve 0*j = -j + h for j. 1 Let m be (-352)/(-40) + (-1)/(-5). Let x be 6/(m/(-6) - -3). Suppose -3*j = -5*i + 19, 4*j - x*i = j - 14. Solve 3 = j*z + 13 for z. -5 Let w = 43 - 19. Let k = w + -22. Solve d = -k*d for d. 0 Suppose 23*p = 14*p + 171. Let o be (5/3)/(1/3). Suppose o*i - 2*i - 12 = 0. Solve i*u - p = -3 for u. 4 Suppose -4 + 18 = 7*b. Solve 12 - b = 2*f for f. 5 Let a(u) = -u**3 - 12*u**2 - 27*u + 1. Let c be a(-9). Solve -15 = -4*w + c for w. 4 Let i(g) = g**3 - 2*g**2 + 3*g - 1. Let j be i(3). Suppose -3*a - 2*q = 2*a - j, 2*q = -3*a + 7. Solve 2*x = x + a for x. 5 Let x(w) = w**3 + 32*w**2 - 31*w + 68. Let m be x(-33). Solve -2*l + m + 8 = 0 for l. 5 Suppose o + 3 = 6. Let d = -2 + 3. Let q = 0 + d. Solve -o*c = -2*c - q for c. 1 Suppose 5*q + 5*l + 20 = 0, -5*l - 14 = 2*q + 6. Solve 6*c + q*c + 30 = 0 for c. -5 Let d(l) = -3*l**3 + l + 1. Let m(i) = 2*i**3 - i**2 - i - 1. Let r(f) = 3*d(f) + 4*m(f). Let v be r(-4). Solve -p + 1 = v for p. -2 Suppose 0 = -4*u - 133 + 37. Let z be ((-265)/530)/(2/(-84)*-1). Let j = z - u. Solve -2*v + j = -3 for v. 3 Let r be (-4)/(-8) - (-11)/2. Suppose -3*z - 3 = -2*z, -3*b = 5*z + 6. Suppose -r - b = -g. Solve -4*n = g + 3 for n. -3 Let o(a) = a + 15. Let u be o(-14). Let t(m) = m**2 + 9*m + 23. Let l = 18 + -24. Let q be t(l). Solve u = 3*n - q for n. 2 Let m = -323 + 330. Solve -m*t - 2*t = -45 for t. 5 Let i = 1 + -7. Let l be 0*((-5)/50 + i/(-10)). Solve -c + 3*c + 4 = l for c. -2 Let n(i) = -i**2 + 3*i + 210. Let m be n(16). Solve m*y - 6 = 8*y for y. -1 Let l be (-15)/(-5)*(-1)/3. Let m(n) = -10*n**2 - n. Let x be m(l). Let q be 8/(-6)*x/6. Solve 5*i + 15 = q*i for i. -5 Let h = 38 - 24. Let b be (-6)/(-3)*h/7. Solve 0 = -3*s - 10 + b for s. -2 Let h = 99 + -150. Let t = h - -66. Solve -3*o = -6 + t for o. -3 Suppose -5*t + 0*t = 3*o - 7, 4*t - o - 9 = 0. Suppose -6*b = -t*b. Solve b = -0*i + 4*i + 8 for i. -2 Let i = -48 + 50. Let z be ((-18)/45)/1*(-15)/i. Suppose -p = -1 - 2. Solve -p = -z*h - 0*h for h. 1 Suppose -2*b - 4*s = -14, 5*b - 3*s = -0*s + 87. Let o = -60 - -47. Let w = -10 - o. Solve w*r = -0*r - b for r. -5 Let k(p) = -p**3 - 8*p**2 - 14*p - 7. Let n be 4 - (-3 + 13)*1. Let f be k(n). Suppose 25 = 5*o - f. Solve -u - u = o for u. -3 Suppose 2*t - t = 20. Suppose -16 = q - t. Let x be -2 - (q + -4 + -2). Solve x = -2*b - 4 - 0 for b. -2 Suppose n + 2*g = -3*g - 7, -2*n = 4*g - 4. Solve -10 = -z - n for z. 2 Suppose -23 + 15 = -4*b. Solve -14 + 8 = -b*k for k. 3 Let y = -1746 - -1749. Let j be -3*(2 + 20/(-6)). Solve -n - j = -y*n for n. 2 Suppose 4*t - 2 = 3*t. Suppose 3*a = -t*a - 30. Let n = 10 + a. Solve o = -0*o - n for o. -4 Let l = 21 - 25. Let n be (l - 0) + 76/19. Solve n = 8*z - 3*z for z. 0 Let y be (-36 - 3)/((2 - 0)/(-2)). Let b = 39 - y. Solve b*u - 4*u = 0 for u. 0 Let f(p) = -p**3 + 20*p**2 - 22*p + 59. Let u be f(19). Solve -18 = -u*k + 11*k for k. -2 Let c(y) = 5*y**2 - y - 2. Suppose -5*f = -f + 48. Let a be (f/(-4) + 1)/(-2). Let s be c(a). Solve s = 2*i - 7*i for i. -4 Suppose -v + 0*v - 4*a - 11 = 0, -5*v + 5*a = 30. Let l = -7 - v. Solve 3*w + 0*w - 6 = l for w. 2 Let k be (7/3)/((-1)/(-3)). Let c(j) = j**2 + 21*j - 75. Let f be c(-25). Suppose k*i - f = 2*i. Solve -7 = -i*r - 2 for r. 1 Let n be (190/(-30) - -9)*30/4. Solve -n*z + 24*z = 20 for z. 5 Let n = 462 - 456. Solve 41 = n*b + 47 for b. -1 Let t = -663 + 670. Solve 10 = -t*k + 17 for
{ "pile_set_name": "DM Mathematics" }
mplify (-5*(sqrt(2448) + sqrt(2448) + 1) + 1 - ((sqrt(17) - 1*sqrt(2448)) + sqrt(272) + -3 + -1))**2. 217073 Simplify -2 + (sqrt(405) + 1*sqrt(405))**2 + sqrt(405) + -2 + sqrt(405) + sqrt(405) + sqrt(405) + -1 - (-3*(sqrt(405) - (1 + sqrt(405))) + 2)**2. 36*sqrt(5) + 1590 Simplify (5 + (sqrt(240) - (sqrt(240) - 1*sqrt(240)*-2))/((sqrt(24) + sqrt(72)/sqrt(3))/sqrt(2)))**2. -20*sqrt(5) + 45 Simplify (3*(sqrt(49) + (sqrt(49) - sqrt(3136))))/(sqrt(567)*2). -sqrt(7) Simplify (sqrt(44) - (-2*(sqrt(44) - -1*sqrt(44)) + sqrt(44)) - (sqrt(88)/sqrt(2) - (sqrt(44)/sqrt(4) + -2 - sqrt(11))))**2. -24*sqrt(11) + 400 Simplify sqrt(42)/(1*sqrt(864)) + (sqrt(112)/sqrt(4))/sqrt(4) + ((-1 + sqrt(847))**2 - sqrt(7)). -263*sqrt(7)/12 + 848 Simplify (1*sqrt(45)*5)/(sqrt(900) + sqrt(900)*3). sqrt(5)/8 Simplify 5 + -6*(-6*sqrt(684) - 5*(1 + sqrt(19))). 35 + 246*sqrt(19) Simplify (1 + -6*(-3*sqrt(143)*2)/sqrt(11))**2. 72*sqrt(13) + 16849 Simplify ((2*sqrt(275))/sqrt(11))/((sqrt(10) - (sqrt(10) + sqrt(20)/sqrt(2)))/sqrt(2)) + (-1*sqrt(5760) - sqrt(5760))/((sqrt(8) - (sqrt(8)*1 - sqrt(8)))*-2). 10*sqrt(5) Simplify -3*(-4 + sqrt(288))**2*-3. -864*sqrt(2) + 2736 Simplify (sqrt(130) + sqrt(130)*-2*1 - ((sqrt(130) - 2*sqrt(130)*-2 - sqrt(130)) + sqrt(130)))/(sqrt(90)/(-1*sqrt(9)) + sqrt(90) + -2*sqrt(90)). 3*sqrt(13)/2 Simplify (sqrt(396)/(sqrt(12) + sqrt(132)/sqrt(176)))/((-2*sqrt(12))/sqrt(4) - (sqrt(36)/sqrt(4))/sqrt(3)). -4*sqrt(11)/15 Simplify ((sqrt(132)*-2)/(5*sqrt(44)))**2 - (sqrt(12)/sqrt(4)*-4*-2 + 1)**2. -4813/25 - 16*sqrt(3) Simplify ((sqrt(130) + sqrt(130)*-2)*-6 + sqrt(130) - (sqrt(130) - (sqrt(130) - -1*sqrt(130)))*-2)/(sqrt(640) - (-3*sqrt(640)*2 - sqrt(640))). 5*sqrt(13)/64 Simplify ((-1*(sqrt(208) + 0) + 4)**2 + (-4 + (sqrt(208) - (1 + sqrt(208))) - (1 + sqrt(208) + 1))**2)*-5. -2405 - 120*sqrt(13) Simplify (sqrt(36)/sqrt(96))/(sqrt(2) - sqrt(800)). -sqrt(3)/76 Simplify 0 + sqrt(125) + 1 + sqrt(125) - (sqrt(5) + (2*sqrt(5)*-6 - sqrt(5)) - (-3 + 1 + sqrt(5))**2). 10 + 18*sqrt(5) Simplify (4*sqrt(91)*-3)/(sqrt(7) - sqrt(35)/sqrt(5)*-2). -4*sqrt(13) Simplify (-5*(sqrt(76) - -1*sqrt(76)) + sqrt(76))/(sqrt(144)/sqrt(4)). -3*sqrt(19) Simplify 4 + (1 + (-3*sqrt(432))**2)*-5. -19441 Simplify 2 + (sqrt(1440) - (-6*sqrt(1440) + sqrt(1440) + sqrt(1440)))/(sqrt(2) - ((-5*sqrt(12))/sqrt(6) - sqrt(2))). 2 + 60*sqrt(5)/7 Simplify 1*-3*-3*(0 + sqrt(343))*1*-3. -189*sqrt(7) Simplify (sqrt(132)/(sqrt(176)*-4))/(sqrt(180)/sqrt(80) + sqrt(36)). -sqrt(3)/60 Simplify -6*(-2*(2 + sqrt(189)/sqrt(3)))**2*2. -3216 - 576*sqrt(7) Simplify (4*-1*sqrt(170) + (2*sqrt(170) - sqrt(170))*2)/(sqrt(70)/(sqrt(7)*2) - sqrt(160)*2). 4*sqrt(17)/15 Simplify (sqrt(18) + -2*2*sqrt(18))/(sqrt(18)/sqrt(2)*-5)*-5. -3*sqrt(2) Simplify (((sqrt(117) - (4*sqrt(117)*5 + sqrt(117)) - sqrt(117)) + sqrt(117))/(-2*sqrt(1296))*-1)**2. 325/36 Simplify -3 + (sqrt(720) - -2*sqrt(720))**2 + ((-5 + sqrt(605) + 0)**2 - sqrt(605)). -121*sqrt(5) + 7107 Simplify (-2 + (-2*sqrt(288) - (3 + sqrt(72))))**2 + -3. 300*sqrt(2) + 1822 Simplify -2*-5*(sqrt(132)*-1 - sqrt(132))/sqrt(11)*-6. 240*sqrt(3) Simplify 5*(2 + (sqrt(35)*-1)/sqrt(5) - ((sqrt(42) - ((sqrt(5082) - 1*sqrt(5082)) + sqrt(42))) + sqrt(42))/sqrt(6)). -10*sqrt(7) + 10 Simplify (-3*(-2*sqrt(1300) - (sqrt(13) - (sqrt(13) + sqrt(208)/sqrt(4)))))**2. 37908 Simplify ((sqrt(60)/(sqrt(10) + sqrt(20)/sqrt(2)) - sqrt(6))/(sqrt(324)/sqrt(12) - sqrt(3)))**2. 1/8 Simplify (sqrt(1700)*1 + sqrt(1700) + sqrt(153)*-5)*5 + -1. -1 + 25*sqrt(17) Simplify ((sqrt(132)*-1)/sqrt(12) + -4 + sqrt(99)/(sqrt(18)/sqrt(2)*6) + 3)**2*5. 25*sqrt(11)/3 + 1555/36 Simplify sqrt(5) - (sqrt(20)/sqrt(4) + -2) - sqrt(15)/(sqrt(3)*2 + sqrt(3)) - ((3 + 0 + sqrt(720))**2 + sqrt(720)*-2*-4). -727 - 505*sqrt(5)/3 Simplify 1*2*((-1*(sqrt(1216) + 0))**2 - (-2 + 1*sqrt(1216))**2). -8 + 64*sqrt(19) Simplify ((-1*2*sqrt(65)*2)/((sqrt(60)*1*-6)/sqrt(12)))**2. 52/9 Simplify sqrt(275) + (sqrt(275) - (5 + sqrt(275) + 2))**2 - (-3*sqrt(275) + 2). 47 + 20*sqrt(11) Simplify ((sqrt(252)*1*-6)/sqrt(7))/((1*sqrt(132)*-3)/sqrt(11)). 2*sqrt(3) Simplify -2*(-4*sqrt(77)*2)/sqrt(7) + (sqrt(132) + (sqrt(132) - ((sqrt(132) - 4*sqrt(132)*-1) + sqrt(132) + sqrt(132))))/(sqrt(972) - sqrt(972)*2). 149*sqrt(11)/9 Simplify ((sqrt(130) + 4*(sqrt(130) - sqrt(130)*-2))/sqrt(10))**2 + (sqrt(39) + 1*sqrt(624) + sqrt(39))/sqrt(3). 6*sqrt(13) + 2197 Simplify -6*(4*(-1 + sqrt(720))**2 + 6*sqrt(720)*1 + sqrt(720))*-5. -360*sqrt(5) + 86520 Simplify sqrt(57)/(sqrt(33)/(-3*sqrt(11))) + (sqrt(1216) + 2 + sqrt(1216) + -2)**2. -3*sqrt(19) + 4864 Simplify sqrt(228)/(-1*sqrt(72)/sqrt(6)) + (-6*-1*sqrt(133))/sqrt(7) + 2. 2 + 5*sqrt(19) Simplify (sqrt(833)*-1 - (-2 + sqrt(68)))**2 - (1*sqrt(425)*6)**2*-2. -36*sqrt(17) + 31981 Simplify ((sqrt(242) - (sqrt(242) - ((sqrt(242) - (sqrt(242) + 1)*-5 - sqrt(242) - sqrt(242)) + sqrt(242)))) + 2)**2*6. 4620*sqrt(2) + 36594 Simplify 5 + (sqrt(14)/sqrt(2)*-1*1)**2 - -2*(-1 + (sqrt(21)/sqrt(3))**2*4). 66 Simplify (sqrt(36) + (sqrt(324)/(-1*sqrt(9)) - sqrt(36)))/((sqrt(6) + sqrt(6)*-2)/sqrt(3) + sqrt(2) + sqrt(8)/sqrt(4)*1). -3*sqrt(2) Simplify 4*(sqrt(77) + (sqrt(77) + sqrt(77)*4 + sqrt(77))*-1)/(sqrt(175) - -2*sqrt(175)). -4*sqrt(11)/3 Simplify (sqrt(272)*-3 + -2 + (1*sqrt(17) + 4 - ((sqrt(17) + 0)*4 + sqrt(17) - sqrt(17))))**2. -60*sqrt(17) + 3829 Simplify ((sqrt(144)/sqrt(4))/sqrt(6))/(-1*sqrt(243))*-2. 2*sqrt(2)/9 Simplify (sqrt(30) + sqrt(330)/sqrt(44))/(-2*sqrt(640))*-2. 3*sqrt(3)/16 Simplify sqrt(189)/((sqrt(36)/sqrt(4))/sqrt(3)) - ((sqrt(378) - 1*sqrt(378)) + sqrt(378))/sqrt(6)*-3. 12*sqrt(7) Simplify 4*sqrt(396)*-1*1 + (1 + sqrt(396) + -1 - (-1*sqrt(396) + -3)). -12*sqrt(11) + 3 Simplify sqrt(156)/((sqrt(108)*2 - sqrt(12)) + sqrt(12)) + ((sqrt(91) + -1*sqrt(91)*4 + sqrt(91))/sqrt(7))**2. sqrt(13)/6 + 52 Simplify (((-1*sqrt(1008) - sqrt(1008)) + -4 - (1 + sqrt(1008) + 1)) + 2 + (-4 + 1 + sqrt(1008) - sqrt(1008)))**2. 504*sqrt(7) + 9121 Simplify (-1*(-5 + 3 + 2*sqrt(19)*2*-3))**2. 48*sqrt(19) + 2740 Simplify -6*((-1 + (sqrt(6) + sqrt(18)/sqrt(3) + sqrt(6))/sqrt(2))**2 + 3). -186 + 36*sqrt(3) Simplify (sqrt(143)/(sqrt(66)/(sqrt(18)/sqrt(3)) + sqrt(11)) + sqrt(91)/sqrt(63) + (sqrt(13) - (sqrt(13) + 0))**2*-4)*-4. -10*sqrt(13)/3 Simplify sqrt(1053)*1 + 5 - (sqrt(117) - (sqrt(117) + (-3*sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117))*1)/sqrt(9). 5 + 7*sqrt(13) Simplify (-1*(-2 + -1 + sqrt(75)*-2 + 0))**2. 60*sqrt(3) + 309 Simplify ((sqrt(360)/sqrt(200))/(sqrt(729)*3))**2. 1/3645 Simplify -1*sqrt(2880)*-2 - (-2 + sqrt(2880) + -2). 4 + 24*sqrt(5) Simplify (-3 + -5 + (1 + sqrt(200) - sqrt(200)))**2 + (-2*(sqrt(98) - (sqrt(98) - -3*(sqrt(98)*1 - sqrt(98)))))**2. 49 Simplify 5*(2*(sqrt(128) + -2 - sqrt(128)) + 3). -5 Simplify 3 + sqrt(12)/sqrt(4) + -3 - ((sqrt(3) + (sqrt(3) - sqrt(6)/sqrt(2)) + 5)**2 - (-2*sqrt(108))**2). -9*sqrt(3) + 404 Simplify (-6*1*sqrt(560))/((sqrt(605) - sqrt(605)*-2)*2). -4*sqrt(7)/11 Simplify 4*(4 + sqrt(40)/sqrt(8) - (sqrt(605) + sqrt(605)*-4 - sqrt(605)))**2. 1440*sqrt(5) + 40564 Simplify -2 + (3*sqrt(931) + sqrt(931) + -5)**2 + (sqrt(152)/(sqrt(8)*2) - (sqrt(57)/sqrt(3) - sqrt(19))*-3). -559*sqrt(19)/2 + 14919 Simplify 2*(2 + sqrt(19) + 5*sqrt(19) + 1 + 3*sqrt(19)). 6 + 18*sqrt(19) Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95)*1 + sqrt(95))*-4))/(4*-2*sqrt(5) + sqrt(5)))**2 + -5. 1655/49 Simplify (sqrt(357)/sqrt(7))/sqrt(3) + -1 + sqrt(17)*3 + -2. -3 + 4*sqrt(17) Simplify (5 + ((sqrt(550) - sqrt(550)*1) + sqrt(550) + sqrt(550))/(sqrt(242) - ((sqrt(242) - (sqrt(242)*1 - sqrt(242))) + sqrt(242) + sqrt(242))))**2. -50*sqrt(11)/11 + 300/11 Simplify (-5 + (-4 + sqrt(1300) + -4 - sqrt(1300)) + (0 + sqrt(1300))*-1)**2. 260*sqrt(13) + 1469 Simplify (3 + 0 + (sqrt(147) - 2*sqrt(147)))*6. -42*sqrt(3) + 18 Simplify (-1*5*(sqrt(76) + (sqrt(76) - (1 + sqrt(76))*-6) - 2*(sqrt(76) - (sqrt(76) - 2*sqrt(76) - sqrt(76)))))**2. 1200*sqrt(19) + 8500 Simplify ((-4 + -2*sqrt(833) - sqrt(833)) + 2 + (sqrt(833) - (sqrt(833)*-1 + sqrt(833))))**2 + (1 + sqrt(833) + 0 + sqrt(833))*-4. 3332 Simplify 3 + ((6*(sqrt(77) + sqrt(77)*-1))/sqrt(11) - ((sqrt(70)*-2)/sqrt(10) + 1)). 2 + 2*sqrt(7) Simplify (-2*sqrt(3600)*6)/(3*sqrt(192)*-5). 2*sqrt(3) Simplify ((-3*sqrt(195))/sqrt(5)*1)/(4*-3*sqrt(300)). sqrt(13)/40 Simp
{ "pile_set_name": "DM Mathematics" }
be the first derivative of 0*l**2 - 27*l - 9*l**3 - 15/4*l**4 + 30. Let v(a) = 2*a**3 + 4*a**2 + 4. Determine -4*n(r) - 27*v(r). 6*r**3 Let b(k) = 2*k**3 - 2. Let h(y) = 2*y**2 - 173*y + 3220. Let j be h(27). Let a(x) be the third derivative of x**6/24 - x**3/2 - 2*x**2. What is j*b(v) - 4*a(v)? -6*v**3 - 2 Let s(v) = 8*v + 3. Let r(g) = g + 1. Let n(q) = q**2 - 87*q + 1553. Let k be n(25). What is k*r(i) - s(i)? -5*i Let t be (4/(-5))/(4/(-110)). Let w(y) = -y. Let p(h) be the first derivative of 8 - 19*h**2 + 3 + 22*h**2. What is t*w(z) + 4*p(z)? 2*z Let n(s) = 12*s**2 - 9*s + 3078. Let h(g) = -14*g**2 + 11*g - 3083. Give -5*h(w) - 6*n(w). -2*w**2 - w - 3053 Let o(x) = 49*x - 2. Let m(c) = 11*c + 1. What is 4*m(w) - o(w)? -5*w + 6 Let q(o) = -o**3 - 5*o**2 - o - 1313. Let b(m) = 2*m**3 + 11*m**2 + 3*m + 2607. Calculate -4*b(f) - 9*q(f). f**3 + f**2 - 3*f + 1389 Let l(p) = p**3 + p. Let o(y) = -21*y**3 - y**2 + 6*y. Let x be (-88)/77 + 2/14. What is x*o(c) + 6*l(c)? 27*c**3 + c**2 Let u(z) = -11*z**3 - 3*z**2 + 6*z - 4. Let i(t) = 297 - 7*t**2 - 23*t**3 + 13*t + 41 - 347. Determine 4*i(k) - 9*u(k). 7*k**3 - k**2 - 2*k Let p(r) be the second derivative of -r**3/6 + r**2/2 + 26*r + 3. Let v = 81 - 84. Let a(q) = -q - 2. Give v*p(g) - a(g). 4*g - 1 Let t(a) = -2*a**3 + 12*a**2 + 516*a - 1. Let f(v) = -5*v**3 + 26*v**2 + 1031*v - 2. Determine -5*f(y) + 11*t(y). 3*y**3 + 2*y**2 + 521*y - 1 Let t(y) = 5011*y**2 + 12*y - 66. Let g(c) = 29294306*c**2 + 70154*c - 385847. What is 6*g(r) - 35077*t(r)? -5011*r**2 Let y(l) = l + 1. Let a(z) = 3*z**2 + 2*z - 25. Let v(k) = k**2 - 6. Let i(w) = 2*a(w) - 7*v(w). Give i(o) + 6*y(o). -o**2 + 10*o - 2 Let c(p) be the first derivative of -5*p**2 + 12*p + 438. Suppose 0 = -5*q + 11 - 1. Let z(m) = m - 1. What is q*c(h) + 22*z(h)? 2*h + 2 Let v(x) = 21*x**3 + 13*x + 18. Let j(i) = -31*i**3 - 19*i - 25. Calculate 5*j(q) + 7*v(q). -8*q**3 - 4*q + 1 Let r(i) = 225*i - 3599. Let s be r(16). Let w be 4 + 1*(-2 - -3). Let k(y) = y**3 + 5*y**2 + 6. Let c(b) = -b**2 - 1. What is s*k(v) + w*c(v)? v**3 + 1 Let l be 6/(-12*1/(-488)). Let h = l - 250. Let m(n) = 0 + 0*n**2 - 1 - n**2 + n. Let p(j) = 4*j**2 - 7*j + 8. What is h*m(i) - p(i)? 2*i**2 + i - 2 Let o(c) = -c**3 - c**2. Let x = 11838 + -11844. Let v = -4 - -6. Let w(p) = 5 - p**2 - 2*p + 5*p**3 + 7*p**v - 3. Calculate x*o(s) - w(s). s**3 + 2*s - 2 Let r(m) = m**3 - 5*m**2 + 3*m - 3. Let v(x) = x**2 - x + 1. Calculate r(o) + 7*v(o). o**3 + 2*o**2 - 4*o + 4 Let s(r) = -1. Let i(t) = 0*t + 4*t**2 + 0*t + 36. Suppose 16*h + 264 - 258 = -2*v, -22 = -2*h - 2*v. Calculate h*i(f) - 72*s(f). -8*f**2 Let y(a) = 128*a + 30. Let o(i) = -191*i - 49. Give 7*o(x) + 10*y(x). -57*x - 43 Let p(l) = 13*l**3 + 14*l + 189. Let s(b) = 14*b**3 + 16*b + 190. Calculate 8*p(i) - 7*s(i). 6*i**3 + 182 Let f(n) = -3*n**3 - 28*n + 5001. Let o(r) = -r**3 - 8*r + 1665. Calculate 2*f(m) - 7*o(m). m**3 - 1653 Let p be 24 + (-143)/104*-8. Let i(c) = 225*c - 35. Let x(s) = -25*s + 4. What is p*x(t) + 4*i(t)? 25*t Let d(c) = 4457*c**3 - 69*c. Let v(b) = -8914*b**3 + 161*b. Calculate -7*d(h) - 3*v(h). -4457*h**3 Let v(s) = -2*s**3 - 6*s**2 + 4*s + 8. Let d(w) = -2*w**3 - 7*w**2 + 6*w + 8. Calculate -2*d(t) + 3*v(t). -2*t**3 - 4*t**2 + 8 Let s(l) = -3 - 2 - 8*l**2 - 2*l**2 + 4*l**2. Let u(h) = 3*h**2 + 3. Let y(b) = -b**2 + 31*b - 52. Let t be y(29). Calculate t*s(a) + 10*u(a). -6*a**2 Suppose 3*n + 5 - 11 = 3*h, 4*n + 5*h = -19. Let o(m) = -2*m - 5. Let p(k) = 24*k + 502. Let g be p(-21). Let w(b) = -1. Calculate g*w(v) + n*o(v). 2*v + 7 Let r(n) = 4*n**2 - n + 53. Let u(c) = -c**2 - 13. Let o be 4 - ((-14)/(-112) - 49/8) - 1. Determine o*u(l) + 2*r(l). -l**2 - 2*l - 11 Let v be (-43 - -45)/((-6)/21). Let x(w) = 11*w**2 + 5*w + 20. Let d(z) = 5*z**2 + 2*z + 10. Determine v*d(s) + 3*x(s). -2*s**2 + s - 10 Let i(x) = -9 - 2*x + x + 8. Let k(l) = 203*l - 28. Let d(p) = 21*p - 3. Let j(n) = 77*d(n) - 8*k(n). Give -6*i(t) + j(t). -t - 1 Let s(m) = -2*m + 6. Let c be s(6). Let a(h) be the first derivative of 8*h**3/3 - 2*h**2 + h - 7504. Let n = 2 - 1. Let t(k) = k**2. Calculate c*t(p) + n*a(p). 2*p**2 - 4*p + 1 Let a(u) = -1 + 2 - 3488147*u + 3488148*u. Let s(r) = 4*r - 12. Give 6*a(d) - s(d). 2*d + 18 Let d(h) = h + 18. Let v(g) be the third derivative of -g**3/6 - 1543*g**2. Determine -d(i) - 3*v(i). -i - 15 Let h(i) = -1311*i**2 + 152. Let o(p) = 43*p**2 - 5. Let z be (1142/(-6) - 1/(-3))*(-2756)/3445. Determine z*o(m) + 5*h(m). -19*m**2 Let u(t) = 39*t**2 - 7*t + 13. Let n(g) = -38*g**2 + 6*g - 8. Give 5*n(o) + 4*u(o). -34*o**2 + 2*o + 12 Let y(a) = -174*a**3 + 74*a - 66. Let w(r) = -43*r**3 + 19*r - 17. Give -23*w(l) + 6*y(l). -55*l**3 + 7*l - 5 Let h(a) = 4*a. Let r(x) = 1889*x - 3. Give 10*h(t) - r(t). -1849*t + 3 Let y(s) = 2*s**3 - 43*s**2 - 158*s + 4. Let m(b) = 2*b**3 - 32*b**2 - 155*b + 3. What is -5*m(u) + 4*y(u)? -2*u**3 - 12*u**2 + 143*u + 1 Let v(s) = 3*s**2 + 27*s + 63. Let a be v(-4). Let p(n) = -n**3 - 4*n - 2. Let k(l) = -1. Calculate a*k(f) - p(f). f**3 + 4*f - 1 Let p(b) = -123*b - 8. Let s(g) = 864*g + 50. What is -20*p(q) - 3*s(q)? -132*q + 10 Let m(q) = -q**2 - q - 1. Let v = -607 - -610. Suppose -4*c + 10 = v*s, -16 = -c + 2*s - 19. Let p(r) = -3*r**2 - 8*r - 6. Give c*p(o) - 5*m(o). 2*o**2 - 3*o - 1 Let z(r) = 10*r + 7. Let m(b) = -5*b - 3. Suppose 3*o - 248 = -3*p - 233, o + 5*p = 13. Calculate o*z(d) + 5*m(d). 5*d + 6 Let g(w) = -33*w + 112. Let u(v) = -21*v + 112. Give -2*g(o) + 3*u(o). 3*o + 112 Let h(x) = 28*x - 336. Let q(g) = 13*g - 171. Calculate -6*h(i) + 13*q(i). i - 207 Let a(v) = 5 - 5 + 6*v**2 - 6 + 9*v**3. Let x = 2684 - 2690. Let g(i) = 170 + 19*i**3 - 183 + i**2 + 12*i**2. What is x*g(d) + 13*a(d)? 3*d**3 Let z(l) = -352*l**3 + 55*l - 55. Let u be 21/(-4 - 3) + (0/4 - -5). Let t(y) = 13*y**3 - 2*y + 2. Give u*z(v) + 55*t(v). 11*v**3 Let s(g) = -163*g + 730. Let i(f) = -58*f + 243. Give -17*i(j) + 6*s(j). 8*j + 249 Let y(i) = -5*i - 51. Let o(x) = 7*x + 40. Calculate 2*o(f) + 3*y(f). -f - 73 Let c be 1/(-2)*2 - -3. Let j(i) = 7*i**c - 6*i**3 + 4*i**3 - 2*i**3. Let k(q) be the first derivative of -3*q**4/4 + 2*q**3 + 340. What is -4*j(o) + 5*k(o)? o**3 + 2*o**2 Let o(s) = -2*s**3 - 7*s**2 - 7*s - 14. Let y(r) = -r**3 - 5*r**2 - 5*r - 9. Suppose 0 = -83*d - 567 + 152. Give d*o(p) + 7*y(p). 3*p**3 + 7 Let j(a) = -32*a - 6. Let k(f) be the first derivative of 1729*f**2/2 + 323*f + 567. Determine -323*j(b) - 6*k(b). -38*b Let k(t) = -4*t**2 - 2. Let m(v) = -22*v**2 + 658*v - 9. What is 6*k(o) - m(o)? -2*o**2 - 658*o - 3 Let l(q) be the first derivative of 63*q**4/4 + 18*q**3 - 27*q**2 - 54*q - 5773. Let c(h) = h**3 + h**2 - h - 1. What is -54*c(d) + l(d)? 9*d**3 Let m(q) = 23*q - 39. Let n(i) = 38*i - 74. Let u(a) = 5*m(a) - 3*n(a). Let g(p) = -1. Determine g(b) + u(b). b + 26 Let v(g) = -30*g - 27. Let d(h) = -61*h - 57. Give 2*d(b) - 5*v(b). 28*b + 21 Suppose 25*k = 93*k + 68. Let y(m) = 4*m - 2. Let i(h) = h. Let o(a) = -6*i(a) + y(a). Let z(r) be the first derivative of -r + 9. Calculate k*o(f) + 2*z(f). 2*f Let x = 13 + -14. Let o(w) = w**3 - w + 1. Let m be -2*2/3*27/(-12). Let c(s) = -s + s**2 - m*s**3 + 3*s - 470 + 468. What is x*c(g) - 2*o(g)? g**3 - g**2 Let r(b) = 6*b**3 + 2392*b**2 - b. Let c(p) = 5*p**3 + 2384*p**2 - p. Calculate 5*c(a) - 4*r(a). a**3 + 2352*a**2 - a Let c(k) = -k + 4. Suppose -1570 = -62*p - 252*p - 628. Let i(j) = -5. Calculate p*i(g) + 2*c(g). -2*g - 7 Let b(h) = -h**3 + 130*h**2 + 396*h + 396. Let r be b(133). Let a(z) = 8*z**2 + z. Let x(k) = -k**2 - k. Give r*x(i) - a(i). -5*i**2 + 2*i Let h = 222 - 206. Suppose -90 = h*g - 7*g. Let q(l) = 22*l**3 + 10*l**2 + 10*l - 16. Let z(m) = 7*m**3 + 3*m**2 + 3*m - 5. Calculate g*z(v) + 3*q(v). -4*v**3 + 2 Let x(l) = l - 15. Let z(o) = 4*o - 60. Suppose 472*s = 449*s - 138. Calculate s*z(m) + 26*x(m). 2*m - 30 Suppose 0 = -76*u + 1245 - 296 + 1103. Let t(o) = -417*o**3 + 27*o**2 + 27*o + 27. Let w(s) = 32*s**3 - 2*s**2 - 2*s - 2. Give u*w(d) + 2*t(d). 30*d**3 Let w(z) = 3*z + 7144. Let d(g) = g + 2405. Determine 14*d(t) - 4*w(t). 2*t + 5094 Let c(y) = 3487*y**3 - y**2 + y - 1. Let q(r) = -r**2 + r - 1. Determine c(m) - q(m). 3487*m**3 Let p(a) = 5*a**2 - 2*a + 5. Let t(j) = 9*j**2 - 5*j + 9.
{ "pile_set_name": "DM Mathematics" }
-23834*m**5 + 16*m**4 - 1611039*m. -476680*m**3 + 192*m**2 What is the second derivative of 90*f**4 - 219*f**3 + 72871*f wrt f? 1080*f**2 - 1314*f What is the third derivative of -4*z**6 + 6*z**4 + 256*z**3 - 109*z**2 + 4*z - 28? -480*z**3 + 144*z + 1536 Find the third derivative of -3969701*c**3 + 632966*c**2 wrt c. -23818206 Find the third derivative of -566*j*k**3*p + 3*j*k**2*p + 132*j*k**2 - 7*j*p + 52*k**3*p + 2*k**3 wrt k. -3396*j*p + 312*p + 12 Differentiate -41*a*i + 305*a + 224432*i wrt a. -41*i + 305 Find the second derivative of -9*n*q**3 - 80*n*q**2 + 221914*n*q - 2*n - 2*q**3 - 4*q**2 wrt q. -54*n*q - 160*n - 12*q - 8 What is the first derivative of -1703243*s - 2001426 wrt s? -1703243 Differentiate 48*j**2*w*x - 52*j**2*w + 41*j*w*x**2 - 12*j*w*x + 28*j*w + 3*j with respect to x. 48*j**2*w + 82*j*w*x - 12*j*w Find the first derivative of 3509*l**3*n**2 + 56299*l**3 - 7*l*n - n**2 wrt n. 7018*l**3*n - 7*l - 2*n What is the third derivative of 2*b**6 + 461*b**5 - 61*b**4 + 378609*b**2 + b + 1? 240*b**3 + 27660*b**2 - 1464*b Find the first derivative of -526*m**4 + 486*m - 2275923 wrt m. -2104*m**3 + 486 What is the derivative of 3*b*m**3*s - 112480*b*m**2*s - 4*b*s - 46402*b wrt m? 9*b*m**2*s - 224960*b*m*s Differentiate 2*m**2*r**3 - 4*m*r**3 + 94823*m*r - 740276*r**3 wrt m. 4*m*r**3 - 4*r**3 + 94823*r What is the third derivative of -23859*j**3*r + 255*j**2*r - 3*r + 6 wrt j? -143154*r Find the second derivative of 3625*b**2*o + b*o + 49148*b wrt b. 7250*o Find the first derivative of -2980*s**2*x - 1935*s**2 - 182*x - 66 wrt x. -2980*s**2 - 182 Find the third derivative of 81281*n**4 + 8*n**2 - 1169 wrt n. 1950744*n Differentiate -578931*q + 1095934 wrt q. -578931 Find the third derivative of 4*c**6 - c**4 - 98125*c**3 - 1868343*c**2. 480*c**3 - 24*c - 588750 What is the third derivative of 12*k**2*p*t**3 + 18*k**2*t**3 - 403*k**2 - 154*k*p*t**3 + 8*k*p*t**2 + p*t**2 wrt t? 72*k**2*p + 108*k**2 - 924*k*p What is the third derivative of 46741*o**2*s**3 + o**2*s**2 - 241*o*s**2 - 99*s**2 wrt s? 280446*o**2 Differentiate 728595*s - 122627 with respect to s. 728595 Find the third derivative of 7527*h**6 - 548*h**2 + 10*h + 2 wrt h. 903240*h**3 Find the third derivative of -6*j**3*x**3 + 50*j**3*x**2 - j**3 - 90062*j**2*x**3 wrt j. -36*x**3 + 300*x**2 - 6 Find the second derivative of 56*a*m**2 + 3*a*m - 69*a - 4500*m**2 - 392*m wrt m. 112*a - 9000 Differentiate -3125*k**2 + 34*k + 150049 wrt k. -6250*k + 34 What is the third derivative of -13*b*d**2*v**3 + 3*b*d**2 - 4*b*d*v**3 - 32*b*v + 4*d**2*v**3 - 29*d*v**2 wrt v? -78*b*d**2 - 24*b*d + 24*d**2 Find the third derivative of 3654155*j**3 + 6350424*j**2. 21924930 What is the derivative of -3256*a**3 - 3*a**2 + 396733? -9768*a**2 - 6*a What is the second derivative of -87769*a**3*y**3 + 3*a**3*y**2 + 61*a*y**3 + 4*a*y + 18*a + 3*y**3 wrt a? -526614*a*y**3 + 18*a*y**2 What is the third derivative of 5*x**6 + x**4 - 1664*x**3 + 129509*x**2 + 2*x? 600*x**3 + 24*x - 9984 What is the derivative of 7*r**4 + r**3 + 85*r**2 + 8227? 28*r**3 + 3*r**2 + 170*r What is the second derivative of -58496*j**2 + 6*j + 1511 wrt j? -116992 Find the third derivative of 478281*u**3 - 8*u**2 - 25*u + 154 wrt u. 2869686 Find the first derivative of 5*j**4*x - 1618*j**2*x**2 + 5*x**2 + 90*x - 8 wrt j. 20*j**3*x - 3236*j*x**2 Find the third derivative of 26*z**5 - 44*z**4 + 19*z**3 - 2*z**2 + 150*z + 19. 1560*z**2 - 1056*z + 114 Find the first derivative of m**3 + 6*m**2 - 1347*m + 4416. 3*m**2 + 12*m - 1347 Find the second derivative of -q**4 + 3*q**3 - 93915*q**2 + 1587725*q. -12*q**2 + 18*q - 187830 What is the derivative of 32*o**2*r + 8483*o**2 + 841*o*r wrt r? 32*o**2 + 841*o What is the second derivative of 4761*g**2*j**3 + 446*g**2 - 54*g*j**3 - 577*g + 2*j wrt g? 9522*j**3 + 892 Find the second derivative of -821368*x**2 + 3*x - 177466. -1642736 What is the third derivative of -416033*y**3 + 63*y**2 - 1730*y wrt y? -2496198 Find the third derivative of -31*g**6 - 374*g**5 + 6026*g**2 - 7*g wrt g. -3720*g**3 - 22440*g**2 What is the second derivative of -2*c**4 - 798*c**3 - 8*c**2 + 58729*c? -24*c**2 - 4788*c - 16 Find the second derivative of -32990*u**2*z**3 + 2*u**2*z + 2*z**3 + 6662*z wrt z. -197940*u**2*z + 12*z What is the third derivative of 95*q**5 + 5*q**4*v - 4*q**3*v - q**2 + 11510*q*v - 1 wrt q? 5700*q**2 + 120*q*v - 24*v Find the third derivative of 65*y**4 + 394*y**3 - 55764*y**2 wrt y. 1560*y + 2364 Find the second derivative of 2*o**5 - 7*o**4 + 28822*o**3 - 92873*o wrt o. 40*o**3 - 84*o**2 + 172932*o What is the second derivative of -2*d**5 - 1460111*d**4 - d**3 - 4326683*d wrt d? -40*d**3 - 17521332*d**2 - 6*d Find the third derivative of 5*l*p**4 - 26*l*p**3 - 153103*l*p - 2*l + p**4 + 423*p**3 + p**2 + 1 wrt p. 120*l*p - 156*l + 24*p + 2538 Find the first derivative of -3031*y + 217321 wrt y. -3031 Find the second derivative of -t**4 + 422259*t**2 + 977383*t wrt t. -12*t**2 + 844518 Find the second derivative of 256*c**3*y + 214*c**2 + 312*c*y - 7*c wrt c. 1536*c*y + 428 What is the first derivative of -53318*y - 239330? -53318 What is the second derivative of -5*i**5*y - 258253*i**3*y + 27*i*y - 2*i - 17*y + 30 wrt i? -100*i**3*y - 1549518*i*y What is the second derivative of 21747*f**2*h**3*v**3 - 2*f**2*h**3 - 6*f*h**3 - 14*f*v**3 - 2*h**2*v**3 + 3*h**2*v**2 - 3*h*v**3 wrt f? 43494*h**3*v**3 - 4*h**3 What is the second derivative of 91*g*s**4 - g*s**3 - g*s - g - 65*s**3 - 3*s - 44 wrt s? 1092*g*s**2 - 6*g*s - 390*s What is the second derivative of 776*a**4 + 132*a**2 + a + 182914? 9312*a**2 + 264 Find the second derivative of -1137422*o**5 - 1671281*o wrt o. -22748440*o**3 Find the second derivative of 4*f**2*l**2*o + 135*f**2 + 2*f*l**2*o - 12*f*o - 7*l**2*o + 118*l**2 - l*o wrt l. 8*f**2*o + 4*f*o - 14*o + 236 What is the third derivative of 688*d**4 - 40*d**3*o - 20*d**2*o + 3*d**2 + 2*d*o + 1256*d wrt d? 16512*d - 240*o What is the third derivative of -27*w**4 - 15719*w**3 + 308650*w**2 wrt w? -648*w - 94314 What is the first derivative of -2*d**4*p + 2665*d**3 + 2*d*p - 2*p + 78976 wrt d? -8*d**3*p + 7995*d**2 + 2*p What is the third derivative of -c**5 - 182*c**4 + 75*c**3 + 3*c**2 - 118 wrt c? -60*c**2 - 4368*c + 450 What is the third derivative of 2*p*w**4 - 4170*p*w**3 - 3*p*w**2 - 3*p*w - 23*w**3 + 7*w**2 - 47*w wrt w? 48*p*w - 25020*p - 138 Find the second derivative of 1818*d**2*n**3 - 61*d**2*n**2 + 8*d*n - 7287*n**3 wrt d. 3636*n**3 - 122*n**2 Differentiate 707921*p + 365009 with respect to p. 707921 What is the second derivative of -842089*h**2 - 1775573*h? -1684178 What is the second derivative of 4601*c**2 - 10*c + 549? 9202 What is the first derivative of c*k*m + 5*c*k - 4546*c*m - c - 5*k*m - 2*k - 6*m + 11 wrt c? k*m + 5*k - 4546*m - 1 Find the second derivative of -26963*o**4 + 186*o - 28 wrt o. -323556*o**2 What is the second derivative of -3*h*p**3 - 7*h*p + 140*h + p**4 + 1636*p**2 wrt p? -18*h*p + 12*p**2 + 3272 Find the second derivative of 2*a**3*p + 2*a**3 + 2*a**2*p - 4662*a**2 + 15*a*p - 4582*p wrt a. 12*a*p + 12*a + 4*p - 9324 Differentiate -812130*l**3 + 241685 with respect to l. -2436390*l**2 Find the second derivative of -40484*q**3 - 27860*q wrt q. -242904*q What is the first derivative of 494000*s**2*u**2 - u**2 + 226501*u wrt s? 988000*s*u**2 What is the second derivative of 2*c**2*v**2 + 2*c**2*v - 3749*c**2 - 13*c + v**2 - 30*v wrt c? 4*v**2 + 4*v - 7498 Find the second derivative of -2*l**2*t**2 + 1614*l**2 - 2*l*t**3 - 846*l*t**2 - 3*t**2 + 22*t wrt t. -4*l**2 - 12*l*t - 1692*l - 6 Find the third derivative of 2*w**4*x**3 + 3810*w**4 + 5*w**3 - 108*w**2*x + 17*w*x**3 - 2*x**2 wrt w. 48*w*x**3 + 91440*w + 30 Differentiate -8*l**2*m - 6435*l**2 - 6*l*m - 51*m with respect to m. -8*l**2 - 6*l - 51 Find the third derivative of 738936*m**5 + m**2 - 87224 wrt m. 44336160*m**2 What is the third derivative of -5*b**4 + 24333*b**3 - b**2 + 2238*b - 3? -120*b + 145998 Differentiate -7*g**3 - 8113*g**2 + 165967. -21*g**2 - 16226*g What is the first derivative of -65299*m*w**4 + 8*m*w**3 - 2574015*m wrt w? -261196*m*w**3 + 24*m*w**2 Find the second derivative of -530045*h**3 - h - 363. -3180270*h What is the third derivative of 1840525*d**4
{ "pile_set_name": "DM Mathematics" }
- 3. Let m be i(-3). Suppose -3*x + 4*x + 5*f = -21, -4*x + 1 = m*f. Is h greater than x? False Suppose 0 = -6*r + 9540134 + 4766338. Let d = r - 996685649/418. Let t = d - -66/19. Which is smaller: t or -1? -1 Let j = -15.8 + 21. Let r = -2.8 - j. Are -0.1 and r equal? False Suppose 0 = 4*g + f - 1 + 9, -5*g - f = 11. Let y be 44/3*(-1)/6. Does g = y? False Let y = 25.4 + -25.363. Is y smaller than 0.1? True Let l be ((2/(-460))/(-1))/(10/20). Let c = 243/1495 - l. Which is greater: 1 or c? 1 Let r = 1.588 + -0.038. Let w = -0.691 + -0.909. Let u = w + r. Are -1 and u non-equal? True Suppose 0 = -3*r + 9 - 18. Let v = 6 + r. Let u be 2/(-1*8) + 13/4. Is u equal to v? True Let m = -54/47 + 3842/235. Is 15 smaller than m? True Let b(r) = r**3 + 2*r**2 - 2*r - 1. Let n be b(5). Suppose 4*f - y = -126, -n = 5*f + 2*y - 0. Let i be (-7)/((-14)/f) + 3. Which is smaller: i or -12? i Let y be ((-3096)/8)/(-9) + -2. Is y at most 47? True Let u = -120894 - -26233925/217. Let p = 6/31 + u. Is p >= 1? False Let i be -5*(656/(-40) - 5). Which is greater: 106 or i? i Let v = -8.96 + 12.96. Which is greater: 24 or v? 24 Let f = -194 + 195.4. Is f < 0.6? False Let d = -307226/9 - -34178. Let c = 2740/63 - d. Let w = 6 + -3. Is w equal to c? False Let q be (-6118)/728 + 2/4*-1. Let b = 17/26 + q. Which is smaller: -7 or b? b Suppose -2*n - 12*n = -42. Which is smaller: n or 22/9? 22/9 Let j = -1915 + 1918.977. Let w = 0.023 + j. Is w equal to 0.5? False Suppose 9435 = 4*a + 1967. Suppose -7*i - 4*q = -2*i + 3100, a = -3*i - q. Let j be (-30)/(-195) + 122/i. Do j and -1 have the same value? False Let k be 8/28 + 17087/49. Which is bigger: 347 or k? k Let r be -1*1*(-16 + 1). Let s = r - 89/6. Suppose 0 = x + 3*j + 22, -12*j = -8*j + 28. Which is bigger: x or s? s Let o = -33.097 + -2.903. Let w = 0 - -0.2. Is o at least as big as w? False Let c = -383 + 509. Which is greater: 125 or c? c Let z = 306 + -926/3. Suppose -3*v - s + 11 = -37, 0 = 4*s. Suppose 26 - v = -5*b. Is b bigger than z? True Let s be 77/(-6) + (-15)/90. Let r be (2 - 3)/(s/26). Is -0.1 greater than or equal to r? False Let n = -803 + 802. Let y be ((-7)/5 - -1)/(-1). Is n <= y? True Let i(q) = -3*q + 1. Suppose 0 = -2*d - 4 - 4. Let b be i(d). Let p = 3238.2 + -3238. Are b and p non-equal? True Suppose -4*h = -2*h - 10. Suppose 16 = h*u - 2*y, u - 2*y + 13 = -7*y. Let b be 1/(-1)*u - 1. Does 0.03 = b? False Let d = -7.05 - -0.05. Let p = 17 + d. Let u = -10.1 + p. Which is smaller: u or -4? -4 Let i be 3/14*(-76412)/(-42). Let p = 389 - i. Which is greater: p or -2? p Suppose 5*v - 4*x + 9 + 51 = 0, 0 = 4*x. Let n be 6/v*2/(-4)*0. Is -1/11 at least as big as n? False Let k be (-5 + (-136)/(-24))/((-8)/12). Which is greater: k or -5/189? -5/189 Suppose -3*h - m + 2 = -2*h, 2 = m. Suppose h = f - 0*f - 19. Let s = f - 5. Is s > 13? True Let y(w) = w**2 - 8*w. Let l be y(9). Let k be (l/2)/((-3)/(-10)). Which is greater: k or 16? 16 Let x = -469.6 - -469.7. Let z = -4 - -7. Which is smaller: x or z? x Suppose 3*s + 35 = 4*i, i + 2*s + 6 = 1. Suppose y = -5 - 0, 2*n - i*y = 17. Which is smaller: -2 or n? n Let j be (-8)/(6/(-3)) + (-5694)/1425. Is j less than or equal to 1? True Let f = -158 + 158. Which is bigger: 17/19 or f? 17/19 Suppose -2*y = -3*c + 5, -3*y = -c - y + 7. Let d = 2701 - 94543/35. Let o = -6/35 - d. Is o at most as big as c? False Let h = -1 - 1. Let v be h*1/(-2) + 0. Let s be 22 + -11 - (-224)/(-20). Are v and s nonequal? True Suppose -4*u + q + 20 = 0, 2*u - 5*u + 15 = -2*q. Suppose m = 3*p - 6, 2*m + u*p + 0*p + 12 = 0. Let j be m/4*(-40)/(-12). Is -5 smaller than j? False Suppose 0 = -2*r - 10, 2*n + 34 - 103 = 3*r. Suppose -3*s - n = 5*w, 0 = -3*s + s - 8. Let m be 3*(-1 - (-1)/3). Is w greater than m? False Let l be (-568)/(-42)*(-77)/(-22). Which is bigger: 47 or l? l Suppose 210*d - 199*d = 836. Which is smaller: d or 74? 74 Let n = -224 + 219. Is n less than -0.05? True Suppose -3*a + 2*s + 15 = 0, 3*a = 6*s - s + 6. Let y(p) = p**3 + 11*p**2 + 9*p + 12. Let c be y(-10). Suppose -4*d + 14 = -c. Is d > a? True Let f(b) = -b**3 - 2*b**2 + 90*b + 86. Let a be f(-10). Let p be -33 + 4*(-1)/(-2). Let s = 17 + p. Do s and a have the same value? True Let w(z) = 74*z + 55. Let v be w(3). Do 276 and v have the same value? False Suppose 3*v + v + 20 = 0. Is v greater than or equal to -1? False Let l = -2 - -1.7. Let r = l + -9.7. Let t = r + 11. Do t and -4 have different values? True Let z = 0.143 - -2.457. Which is smaller: -0.1 or z? -0.1 Let b(z) = z**3 + 3*z**2 + z - 2. Let s be b(-2). Suppose -4*o + 5*o = s. Suppose -q - 2 = 2*c, -4*q + 9*q - 2*c - 2 = o. Is -3/16 at most q? True Let r(v) = 4*v - 70. Let z be r(17). Let o be ((-4)/28*2)/(z/(-2)). Suppose f + 2*s + 6 = 5*f, -2*s = 4*f - 2. Is f bigger than o? True Let a be -3 + 6 + ((-6)/1 - -3). Which is smaller: a or 1/571? a Let q be 35/(-21)*16/(-6). Let a be 4/10 + 2872/(-630). Let l = a + q. Is 1 at most l? False Let d = -11.11 + 9.6. Let g = d - -0.51. Let s be 8/6*(-18)/(-44). Is s != g? True Let z = 0.13 + 29.87. Let i = z + -29. Which is greater: 6 or i? 6 Let m(b) = 3*b**2 - b - 1. Let j be m(-1). Let g be j - (-3 + (-21)/(-3)). Let p(s) = -4*s**2. Let z be p(g). Does z = 1? False Let a = -2862 + 2357. Which is bigger: a or -0.2? -0.2 Suppose -4*h = -3*o + 37, -h - o + 24 = -4*h. Let n(u) = -2*u**3 + u**2 + u. Let g be n(0). Let m = h + g. Is -8 at least m? False Let q = -36.004 + 36. Let t = -1.104 - q. Is t greater than -0.4? False Suppose -91 = b + 6*b. Let h = b + 10. Which is bigger: h or -20/13? -20/13 Let l = 0.17731 + -86.06731. Let u = -1.89 - l. Which is smaller: u or 1? 1 Let r = -204737 + 1435437/7. Let u = r + -324. Is u less than 1? False Let v = -168 + 167. Suppose 5*r + k = 6*k - 10, -4*k = r + 2. Is r at least as big as v? False Let h = -64 + 14. Let k = -51 - h. Which is smaller: -0.6 or k? k Let t be -9 - ((1 + -1)/2)/2. Let h(a) = -a**2 + 8*a - 6. Let p be h(5). Let k = p + t. Which is smaller: 1/12 or k? k Suppose 0 = -5*y - 16 - 14. Let r(x) = -3*x - 48. Let n be r(-14). Do n and y have different values? False Suppose -1951 = 6*w - 3*w - 2*x, 0 = -5*w - 3*x - 3239. Let q = w - -18823/29. Which is smaller: 1 or q? q Suppose -8 = -3*w - 35. Let i = -13 - w. Let v be (-3)/(-6) - i/(-14). Which is greater: 0.1 or v? v Let q = 511 + -276. Let z be q/119 + 6/(-51). Which is bigger: z or 2? 2 Let j = 0.0732 - 0.1042. Is 2 > j? True Suppose -5*h - m = -22 - 113, -4*h - m + 109 = 0. Let i = 9 - h. Suppose 5*c + 6 = -2*n - 11, 3*c = -n - 7. Is i > n? False Let f = 1.67 + 0.43. Let l = f + -2. Let t = -1379 + 1370. Which is greater: t or l? l Suppose 2*w + 25 = 7*w. Suppose 0 = w*s - 2*s - 18. Let h be (16/(-24))/(s/10). Is h less than or equal to -2? False Let p = 32 + -27. Suppose -4*h + p = h. Suppose 3*t + 2*j - 3*j - 2 = 0, t - 3*j + 10 = 0. Are t and h unequal? True Let h be 110/(-385) + 16/(-91) + 0. Which is smaller: h or -1/15? h Let d be 8/(-6) - (-76)/399. Is d not equal to 9? True Suppose 2*c + 8 = -0*c + 5*i, 2*c = 3*i - 4. Let n be (8/(-4) - c)*-1. Suppose r - n*x + 11 = 0, -2*x - x = -2*r - 7. Is 3 greater than or equal to r? False Suppose 23*y - 16 = 19*y. Suppose y*c - 50 = 46. Which is bigger: 23 or c? c Suppose 0 = 4*a - 122 + 138. Suppose 2*h - 3*t = 35, 4*t = 4*h + 3*t - 45. Let z be (h/(-2 - -4))/(-1). Which is smaller: z or a? z Let p = 4 + 20. Let b = -25 + p. Is 1/35 at least as big as b? True Let o(q) = q**3 + 3*q**2 + q + 7. Let g be o(-3). Suppose -1 = a - 4. Which is smaller: a or g? a Let m be ((-92)/115)/(1/(-10)). Suppose -4*h + m = -0*h. Suppose -3 - h = -c. Is c bigger than 1? True Let v(r) = r**3 - 10*r**2 - 2. Let o = 19 + -9. Let m be v(o). Let t = 0 + -1. Do t and m have the same value? False Let u(f) = -2*f + 5*f + 1 - f - 5*f - f**3 + 6*f**2. Let w be u(5). Suppose 2*d - m + w = 0, 3*d + 2 = m - 16. Is -8 != d? True Suppose -357*b + 349*b = 32. Let m = -2 - -2.6. Which is greater: b or m? m Let f be 5/(-2)*(-36)/30. Suppose -f*m = u - 4, 7*m = 4*m - 5*u + 20. Suppose 5*q = -4*p - 1, -3*q + m*p + 2*p = -17. Is q < 14/9? False Suppose -8*q + 4*q - b = -25, 26 = 5*q - 4*b. Suppose -9*k - 15 = -4*k. Is q >= k? True Let p = 55648/9 - 6183. Let j = -5 + 7. Whic
{ "pile_set_name": "DM Mathematics" }
e third smallest value? (a) o (b) -1.14 (c) p a Let w(x) = 13*x - 225. Let m be w(18). Let j = 5 - 3. Suppose -3*c - m = -2*a, -3*c + c + j*a - 6 = 0. What is the smallest value in c, 2/5, 0.2? c Let f = -13.63784 - -0.03784. What is the third smallest value in f, -2/27, -5, 5? -2/27 Let t be 1 - (-3 - (-15)/4). Let x = -42 + 46. Which is the fourth smallest value? (a) -4 (b) x (c) -0.7 (d) t b Let f = -1645.38601 + 0.38601. What is the third smallest value in f, -0.2, -3? -0.2 Let u = 4609 + -4602. Which is the second biggest value? (a) 0 (b) u (c) 1/11 (d) 1/5 d Let j = 23/66 + -2/11. Let m = -65.5 - -227. Let h = m - 161. Which is the second biggest value? (a) -2/19 (b) h (c) j c Let u = -876.7 + 873.7. What is the third biggest value in u, -8/7, -2, 0? -2 Let c(r) = r**3 - 8*r**2 - 9*r + 7. Let y be c(9). Let u be 0 + 1/(-2) - (y + -7). Let m = -443.9 + 444. What is the second biggest value in -3/5, u, m? u Let n be 4933/(-4218) + 1 - (-33)/198. Let b = -695/2812 + n. What is the biggest value in 5, -0.3, b, -0.4? 5 Let z = 8.65 + 1.35. Let u = 1327 - 1327.4. What is the biggest value in 0.4, z, u? z Let z = 56.5 + -56. Suppose -16 = 4*w - 0. Which is the second biggest value? (a) 3/8 (b) 2 (c) z (d) w c Let t = 457 + -315. Let v = t + -129. Which is the third smallest value? (a) 0.4 (b) -0.3 (c) 3 (d) v c Suppose -3*l - 104 = 28. Let q be -4 + (-184)/l + 0/(-3). Let n = -2/189 - 61/189. Which is the second smallest value? (a) 0.1 (b) n (c) q (d) -1 b Suppose 7*w = -w + 5*w. Let h = -13.6 - -15. Let k = h + -0.4. What is the second smallest value in -0.1, k, w? w Let v = 2.5 - 2. Let q = 18843 + -18880. Which is the third smallest value? (a) q (b) v (c) 0 b Let v = 2.32211 - 0.32211. Which is the third smallest value? (a) v (b) 2/7 (c) 0.01 (d) 5 a Suppose 3*u + 23*y - 19*y - 2 = 0, -u + 14 = 4*y. Let r be (-8 - (-400)/56)*(-4)/u. Which is the smallest value? (a) -2/7 (b) 1 (c) r (d) 0.18 c Let m = 2.77 + -2.901. Let s = 33.631 + m. Let v = s + -33. Which is the biggest value? (a) 0 (b) -0.4 (c) -0.5 (d) v d Let h = 115.1 + 2.9. Let s = 118.3 - h. Which is the second biggest value? (a) 0.5 (b) s (c) 0.59 a Let w = -5763/5 + 5764/5. What is the third biggest value in w, 5, -2/3, -18, -4.7? -2/3 Let r be ((-4)/12)/(((-16)/80)/((-69)/5)). What is the third smallest value in 8/5, r, -5? 8/5 Let m = 7537 - 7532. Let v(g) = -g + 4. Let f be v(3). Let l be 0 - f - (-2)/4. Which is the smallest value? (a) l (b) 2/23 (c) m (d) 1 a Let l = 76 - 98.9. Let r = 17.9 + l. Let s = -6 + 6.19. Which is the smallest value? (a) s (b) 0.4 (c) r c Let r = -123 - 101. Let w = r + 220. What is the second biggest value in 2/11, -0.3, w? -0.3 Let v = 3126.194 + -3091.2. Let r = v + -35. Let t = -0.094 + r. Which is the second smallest value? (a) -0.3 (b) 2/7 (c) t c Let o = -0.7 - -4.7. Let p = 91.2 + -91.7. Which is the second biggest value? (a) 11 (b) o (c) p b Let u = 270 - 275. Suppose 0 = -5*p - 0*p + 50. Suppose 7 = 3*r + p. Which is the second biggest value? (a) r (b) 3 (c) u a Let l be (-85)/10 - 144/(-16). What is the second biggest value in 132, l, 0.1? l Let w = -5135.3 + 5135. What is the biggest value in 7, w, 9/4? 7 Suppose -3*h + 27 - 21 = 0. Let r be (h - (-3)/(-1)) + 18/12. Which is the second smallest value? (a) r (b) -2 (c) -18 b Let v = 18.05 - 18.1. What is the second biggest value in 1/4, v, -4/3, -2/5, -0.1? v Let y = 275882 - 275881.7. Let q = -0.34 + 0.04. What is the second biggest value in y, 31/5, q? y Let b = 4481/13455 - -4/13455. What is the biggest value in b, -2, -0.025? b Let n = -3.06036 - -0.06036. Let j be (1/(-15))/((-3)/(-9)). Which is the third smallest value? (a) n (b) j (c) 0.15 c Let x = -1 - -150. Let s = -154 + x. Which is the biggest value? (a) 1/4 (b) s (c) -1/5 a Let l be ((-2496)/(-8736))/((-2)/3). Let q be 1/6*(-6)/4. Which is the third smallest value? (a) 0 (b) l (c) q (d) 0.5 a Let f = -19.108 + 18.408. Which is the third biggest value? (a) f (b) -1 (c) 0.0455 b Let r = 595.665 + -595. Let n = -2.665 + r. What is the second smallest value in 0, -5.9, n, 0.5? n Let b = 164 + -171. Let t be (11/(-22))/(b/(-4)). Suppose 4*y + 0*d = 3*d + 1, 4*d = 4. What is the fourth biggest value in t, y, 1/3, 5? t Let v = 26810 + -26812. Which is the third biggest value? (a) v (b) 3 (c) -0.09 (d) -13 a Let z be (-4)/3*1*-3. Let r = -49691017/93 + 534312. Which is the smallest value? (a) z (b) r (c) -4 c Let m be 26 - (-1452)/(-55) - 9/(-10). Let p = 0.47 - 0.37. What is the biggest value in p, m, 5, 5/8? 5 Let x = 12794 - 12806. Which is the third smallest value? (a) -0.3 (b) x (c) 0.09 (d) -1/10 d Let q = -187 - -577. Let s = q - 390. What is the fourth biggest value in s, 2, 14, 1? s Let u = 27 - 26.74. Let t = -1193.74 - -1199. Let p = u - t. What is the third biggest value in 0, -4, p, 0.06? -4 Let v = -0.48 + -1.9. Let r = v - -2.5. Let t = r - 0.02. Which is the fourth biggest value? (a) 2/3 (b) 5/2 (c) t (d) -2 d Let z be ((-2)/21)/(365/2555). Let w be ((-3)/(-14))/((-6)/8). Which is the second biggest value? (a) w (b) -4 (c) -7 (d) z d Let j = -0.0327 - -0.3327. Which is the second biggest value? (a) 0.1 (b) -3/5 (c) j (d) 3 (e) -0.4 c Let f = 0.0547 - 0.0817. Let t = f - -0.127. Which is the third smallest value? (a) t (b) -4 (c) 0.5 c Let m be (85/51)/((-2)/(-6)). Let c = 291 + -311. What is the third biggest value in 1, c, 1/8, m? 1/8 Let x = -4536 + 4460.88. Let w = x - -75. Let d = 10 + -9.7. What is the second biggest value in w, -2, d? w Let v = -47788 + 6690363/140. Let h = -1/20 - v. Which is the smallest value? (a) h (b) -1/5 (c) -0.4 c Let p = -1429/1108 + 11/277. Which is the biggest value? (a) p (b) -4 (c) 2/5 (d) -169 c Suppose 8*j + 294 = 22*j. Let d be 3/j + (-295)/7. Which is the biggest value? (a) 4 (b) 0.2 (c) d a Let h = -14.5 - -18.5. Let f = 1.614 + 0.386. Which is the smallest value? (a) -7 (b) h (c) f (d) -0.1 a Let o(p) = p**2 - p + 57. Let q be o(-7). Let g = q + -112. Let f = 2 - 4. What is the second biggest value in f, -1, g? -1 Let t be 12546/1071 + 5 + -1. Which is the third biggest value? (a) t (b) 3/5 (c) 0.14 c Let i be 117/117 + (-3 - 1). Which is the third biggest value? (a) 8 (b) i (c) 2/13 b Let z = 16 + -9. Let u = -21.1 - -1.6. Let g = -19 - u. Which is the second biggest value? (a) g (b) 2/7 (c) z a Let t(u) = -u**2 - 9*u + 5. Let h be t(-9). Let y = -4001 - -4001.3. What is the biggest value in h, -6, y? h Let j(x) = 2*x + 6. Let i be j(-4). Let y be 24/(-21)*i/8. Suppose 10*q + 2*s = 15*q - 24, 0 = q + 2*s. What is the third smallest value in 1, y, q, -5? 1 Let m = 1/1971 - 4147/404055. Let n = -93 - -135. Let k = 44 - n. What is the third biggest value in m, 4, k? m Let l = 631.406 + 0.594. Let x = l - 634. Which is the second smallest value? (a) -3 (b) -9/11 (c) x c Let v = 0.95293 - -0.04707. Which is the biggest value? (a) 0.1 (b) -83 (c) 1/4 (d) v d Let j = -0.411 + 0.021. Let x = j - -0.59. Let r = 625/7 - 89. Which is the biggest value? (a) -1/2 (b) 0.06 (c) r (d) x c Let x = 4 - -2. Let s(o) = -o**3 + 5*o**2 - 3*o + 1. Let r be s(4). Let y = -25783.7 - -25784. What is the biggest value in x, y, r? x Let n = 18 - 17.85. Let g = -0.94 + 2.94. Let l = -2 - g. What is the third smallest value in 0.1, n, l, 2? n Let f = -2980975/146 + 20418. Let k = f - -10/73. What is the smallest value in -11/2, 5, k? -11/2 Let w = 952 + -535. Let l = 416.8 - w. Which is the smallest value? (a) -3 (b) l (c) -2/15 (d) 16 a Let q be 282/(-21) - 533/(-41). Which is the third smallest value? (a) 0.02261 (b) 0.3 (c) q b Let f = 1524.6 + -1524.1. Let g be 1 + 6/(-2) + 2. Which is the fourth biggest value? (a) f (b) -2/5 (c) g (d) -1 d Let l = 100 - 58. Let p = 119.5 - 77. Let x = p - l. Which is the second smallest value? (a) -1/4 (b) -0.5 (c) x a Let m be 0/(-2) + (-10)/15 + 0. Let o = -636.321 + 637. Let v = -0.021 - o. Which is the smallest value? (a) m (b) v (c) -0.3 b Let g be -8*(-3)/9*(-5)/(-60). Suppose -8*i - 16 + 0 = 0. Which is the second smallest value? (a) i (b) g (c) -2/11 c Let o be (6/14)/(9/(-6)). Let v = -121.43 - -121.
{ "pile_set_name": "DM Mathematics" }
+ -1bb? 8 In base 10, what is -8794 - 7? -8801 In base 13, what is -3c0 - -60? -360 In base 16, what is -7 - 46728? -4672f In base 14, what is -31b2d + -4? -31b33 In base 15, what is 286d4 + -3? 286d1 In base 7, what is 403341 - -3? 403344 In base 2, what is -10011 - -10010100010? 10010001111 In base 11, what is -266 - -14? -252 In base 7, what is -1641 + -2? -1643 In base 9, what is -24 - -6682? 6657 In base 2, what is -100 + -1101101110101011? -1101101110101111 In base 14, what is -a40c - -1b? -a3d1 In base 9, what is -48344 - -5? -48338 In base 4, what is 3 - -1002001113? 1002001122 In base 9, what is -3172 - 110? -3282 In base 4, what is -10 + 13220? 13210 In base 8, what is 4 + 771175? 771201 In base 12, what is -ba - 73b4? -74b2 In base 12, what is -1b - 2a955? -2a974 In base 14, what is -18d29c + -5? -18d2a3 In base 7, what is -213 + 52? -131 In base 4, what is 221031020 - 0? 221031020 In base 13, what is -a051 + -7? -a058 In base 7, what is -4 + -4502125? -4502132 In base 6, what is 10 - 42512? -42502 In base 6, what is 4 + 11400045? 11400053 In base 13, what is -3 + -2087a? -20880 In base 16, what is -2 + -426d3? -426d5 In base 5, what is -4 + 24344403? 24344344 In base 6, what is 2532 + 322? 3254 In base 13, what is 2 + -91c6? -91c4 In base 13, what is 4 - 33281? -3327a In base 9, what is -245 - 2701? -3046 In base 4, what is -132 + 11021002? 11020210 In base 10, what is 15 - -1488? 1503 In base 15, what is 465ebc - 0? 465ebc In base 6, what is 20555 - -45? 21044 In base 4, what is 30 - 32312? -32222 In base 16, what is 29af - -18? 29c7 In base 3, what is 1020002112 - 120? 1020001222 In base 15, what is -5c96 - 5? -5c9b In base 7, what is 5 + 13150564? 13150602 In base 11, what is -1 + a506? a505 In base 7, what is -4 - 162414? -162421 In base 13, what is -186 + 810? 657 In base 4, what is -10 + -1133010112? -1133010122 In base 6, what is 323 + -2355? -2032 In base 2, what is 10001 + -110000000001110111? -110000000001100110 In base 14, what is 170549 + 5? 170550 In base 14, what is -660 + -4? -664 In base 14, what is -2b25 + 9? -2b1a In base 10, what is 107737 + 71? 107808 In base 15, what is 407 - -87? 48e In base 9, what is -213602 - 4? -213606 In base 6, what is -1 - -3051312? 3051311 In base 4, what is 23 - -222? 311 In base 11, what is 3867 - 5? 3862 In base 4, what is 233200 - -1? 233201 In base 8, what is 5511 + -2? 5507 In base 7, what is -26516 - -141? -26345 In base 8, what is 43 - 5376? -5333 In base 12, what is -59840 - 0? -59840 In base 9, what is 335 + -523? -177 In base 14, what is 8 - -852? 85a In base 7, what is 31116404 - -1? 31116405 In base 5, what is -232 - 120342? -121124 In base 14, what is -bb - -18? -a3 In base 10, what is -40 - -43337? 43297 In base 14, what is -17 + 87d1? 87b8 In base 6, what is -5 - -101535? 101530 In base 15, what is -7 - -c03? beb In base 12, what is 4 - -729b0? 729b4 In base 9, what is 1524 - 383? 1131 In base 10, what is -422 - -2050? 1628 In base 4, what is -1032101 - -21110? -1010331 In base 13, what is cb7 + 18a? 1174 In base 4, what is 11321032 - 30? 11321002 In base 4, what is 101 + -1110130? -1110023 In base 7, what is -1234 - -5466? 4232 In base 15, what is -54 + -bc7? -c2b In base 11, what is -277461 + 3? -277459 In base 5, what is -123231 - 33? -123314 In base 4, what is -1000 + -221010? -222010 In base 12, what is -10 + 788? 778 In base 7, what is 10 + 6115? 6125 In base 13, what is -103 + 17? -b9 In base 12, what is 80325 - 9? 80318 In base 3, what is 12011111 - -2? 12011120 In base 3, what is 2 + 211111121011? 211111121020 In base 5, what is 220 + 34432? 40202 In base 4, what is 2 - 3113333? -3113331 In base 15, what is -24a + -101? -34b In base 11, what is -160 - -997? 837 In base 12, what is 786a0 + 0? 786a0 In base 4, what is -21 - -2323112? 2323031 In base 10, what is 238 - -347? 585 In base 15, what is b046a - -1? b046b In base 4, what is 132320 - 32? 132222 In base 10, what is 1109 + 22? 1131 In base 9, what is 13 + 78610? 78623 In base 13, what is -1754 + -17? -176b In base 16, what is 15 - 2ba? -2a5 In base 16, what is -1bfb32 + -4? -1bfb36 In base 6, what is -3255 + 33? -3222 In base 15, what is 71 - 1d4? -163 In base 11, what is -2a63 - 5? -2a68 In base 9, what is 1 - 206112? -206111 In base 7, what is 101 - -30666? 31100 In base 16, what is -a + -1d3c? -1d46 In base 8, what is -1670 - -310? -1360 In base 14, what is -5 + 49c78? 49c73 In base 15, what is -7548 + 3? -7545 In base 15, what is -712a - -4? -7126 In base 7, what is 5 - 404402? -404364 In base 2, what is 100100111001110001100 - -1? 100100111001110001101 In base 16, what is -362319 - 2? -36231b In base 8, what is -22617 + 10? -22607 In base 10, what is 3 - -32093? 32096 In base 12, what is -31b42 + 3? -31b3b In base 3, what is 20220 + 12000? 102220 In base 12, what is -3 - -19169? 19166 In base 4, what is -2 + -3020233313? -3020233321 In base 12, what is a - -16b67? 16b75 In base 5, what is -10 + 134403? 134343 In base 14, what is -65 + -d7? -15c In base 10, what is -161 - 4667? -4828 In base 7, what is 142 + 355? 530 In base 14, what is 684b - -6? 6853 In base 15, what is -9073 + b? -9067 In base 14, what is 3 - 30bb6? -30bb3 In base 16, what is -4 - -3876? 3872 In base 15, what is 1 - da39? -da38 In base 13, what is 73c898 - -3? 73c89b In base 11, what is -3 - 388a? -3892 In base 6, what is -54025 - -2? -54023 In base 2, what is 0 - -1000101000100001100? 1000101000100001100 In base 12, what is 33 + -521? -4aa In base 5, what is -2 + -243420? -243422 In base 3, what is 211111 - -200? 212011 In base 12, what is -264 - -188? -98 In base 15, what is 44 - -c2b? c70 In base 8, what is -104 + 65110? 65004 In base 6, what is -45024324 + 1? -45024323 In base 8, what is 14511731 + 0? 14511731 In base 3, what is 102220 + 2122112? 10002102 In base 12, what is -23 - -165? 142 In base 13, what is 3 - a41aa? -a41a7 In base 14, what is -3 + -16388? -1638b In base 10, what is -43 - -294? 251 In base 7, what is 330546 + 2? 330551 In base 2, what is 10 + -100111011011000? -100111011010110 In base 10, what is -5913 - -199? -5714 In base 6, what is -2 - 144431? -144433 In base 7, what is -124031 + 0? -124031 In base 13, what is -cb73 - 41? -cbb4 In base 3, what is 220021 + -10212201? -2222110 In base 3, what is 2 + -21112011? -21112002 In base 3, what is -12 - 12001101? -12001120 In base 10, what is 979 - -94? 1073 In base 5, what is -10 - -22322? 22312 In base 14, what is 2d - -4b49? 4b78 In base 15, what is 24 + -1e1dd? -1e1b9 In base 11, what is -1a7 + 10959? 10762 In base 9, what is -1457665 + -4? -1457670 In base 8, what is -4 - 405247? -405253 In base 3, what is -1 + -101220212? -101220220 In base 6, what is -533 - -42? -451 In base 4, what is -103332 - -3? -103323 In base 9, what is 5061 + -27? 5033 In base 7, what is 4 - 50251? -50244 In base 8, what is -505 + 2117? 1412 In base 5, what is 1320213423 - -10? 1320213433 In base 4, what is -203223 - 11221? -221110 In base 3, what is 111 - 201211210? -201211022 In base 16, what is -1a34 + 1? -1a33 In base 7, what is -3552 + -1006? -4561 In base 3, what is 2 - -1111120221? 1111121000 In base 16, what is 621f - -b? 622a In base 9, what is 1 + -180481? -180480 In base 10, what is 3768 + -18? 3750 In base 11, what is -306a + 314? -2856 In base 13, what is -13 + -a14b? -a161 In base 16, what is 10 - 20c6? -20b6 In base 4, what is 10033 - 1023? 3010 In base 8, what is 41275 + 64? 41361 In base 12, what is -64 + 640? 598 In base 7, what is -445540 + 5? -445532 In base 9, what is -4 + 2734418? 2734414 In base 6, what is 5 - 305154? -305145 In base 12, what is -268b4a - 3? -268b51 In base 6, what is 1051053 - -4? 1051101 In base 15, what is -2260 - -14? -224b In base 2, what is 101100100000 + -1000001100? 100100010100 In base 10, what is 90033 - -8? 90041 In base 9, what is -76425 - 7? -76433 In base 3, what is 10 + -1012211012? -1012211002 In base 10, what is -3 + 95148? 95145 In base 3, what is -11 + -1111111111211? -1111111111222 In base 3, what is -120121 - -21011? -22110 In base 15, what is 3 + -342e? -342b In base 6, what is 150014441 + -2? 150014435 In base 7, what is -1050442 + -4? -1050446 In base 2, what is -1011001100 + 1010100111? -100101 In base 5, what is 202
{ "pile_set_name": "DM Mathematics" }
) = -554*k + 5919. Determine u(8). 1487 Let f(v) = 3990*v - 11448. Determine f(3). 522 Let b(j) = 99*j - 7448. Calculate b(76). 76 Let b(j) = -3*j**3 + 7*j**2 + 48*j + 316. Give b(-9). 2638 Let q(j) = -9*j**3 + 1197*j**2 + 24*j - 3175. What is q(133)? 17 Let q(j) = 3*j**2 + 1862*j - 98423. Give q(49). 18 Let z(m) = -m**3 - 881*m**2 + 18023*m - 42. Give z(20). 18 Let h(q) = -15*q**2 - 2373*q - 7124. What is h(-3)? -140 Let d(o) = 85702*o + 428514. Determine d(-5). 4 Let j(n) = n**3 + 36*n**2 + 80*n + 16. What is j(-35)? -1559 Let d(j) = -35*j**2 + 375*j - 1027. Determine d(5). -27 Let y(f) = -8*f**2 + 6778*f - 145217. Determine y(22). 27 Let s(k) = 52*k**2 + 1866*k + 1616. What is s(-35)? 6 Let b(d) = 1418152*d - 4254448. Calculate b(3). 8 Let n(q) = -164*q + 8028. Calculate n(49). -8 Let v(g) = -86*g**3 - 2*g**2 + 13*g + 15. Give v(2). -655 Let g(c) = -1512*c + 69528. Determine g(46). -24 Let i(n) = -849*n + 112714. Give i(133). -203 Let u(j) = -j**3 - 121*j**2 + 497*j + 14. Calculate u(4). 2 Let s(a) = 4237*a - 550817. Give s(130). -7 Let g(c) = -2*c**3 + 86*c**2 - 19*c + 1. Determine g(43). -816 Let x(f) = -3748*f - 8553. Calculate x(-3). 2691 Let o(t) = -6*t**2 - 3802*t - 59280. Give o(-16). 16 Let u(w) = 5*w**3 + 1229*w**2 + 3401*w + 162. Give u(-243). 405 Let a(s) = -s**2 - 169*s + 47857. Give a(-319). 7 Let v(r) = r**2 + 107*r + 2801. Determine v(-47). -19 Let o(d) = -210*d**2 + 1293*d + 200. Determine o(7). -1039 Let d(w) = -w - 167. Give d(17). -184 Let i(w) = -w**3 + 16*w**2 - 127*w + 4137. Calculate i(20). -3 Let t(y) = -y**2 - 366*y + 144593. Give t(239). -2 Let l(o) = o**3 + 27*o**2 - 68*o + 631. Calculate l(-30). -29 Let b(a) = 17*a**3 + 148*a**2 - 298*a + 10. Determine b(2). 142 Let o(j) = 3*j**3 - 33*j**2 + 86*j - 3. Determine o(5). -23 Let t(v) = 1547*v - 3218. What is t(2)? -124 Let a(l) = 5*l**3 - 10*l**2 + 107*l - 202. Determine a(5). 708 Let d(i) = 3*i**3 + 22*i**2 + 134*i + 84. What is d(-6)? -576 Let c(x) = -x**3 - 9*x**2 - 44*x - 140. Calculate c(-6). 16 Let o(y) = -8*y**3 + 133*y**2 - 516*y - 10. Give o(4). -458 Let m(t) = t**3 - 11*t**2 + 65*t - 620. Calculate m(11). 95 Let q(l) = l**3 - 227*l**2 + 283*l - 12893. Give q(226). -11 Let l(u) = u**3 + 77*u**2 - 14267*u + 6. Give l(-164). -158 Let r(q) = 230*q**2 + 1370*q - 6186. Calculate r(3). -6 Let t(p) = p**2 - 19443*p - 116667. Give t(-6). 27 Let o(j) = 75467*j + 47921543. Determine o(-635). -2 Let l(v) = 312*v + 2806. Calculate l(-5). 1246 Let z(p) = -1664901*p + 9989402. Give z(6). -4 Let n(u) = -968*u + 3124. Calculate n(3). 220 Let k(i) = i**2 - 540686*i + 2703405. Determine k(5). 0 Let j(i) = 3*i**3 + 281*i**2 - 133*i - 3700. Determine j(-94). -34 Let h(l) = l**3 + 10*l**2 - 2378*l - 14655. Determine h(-51). -18 Let i(v) = 122*v + 2823. Give i(-22). 139 Let z(w) = 82193*w + 82197. What is z(-1)? 4 Let f(r) = 5*r**2 + 131*r + 19. Determine f(-11). -817 Let j(w) = -3*w**3 - 350*w**2 + 136*w + 2170. What is j(-117)? -53 Let c(q) = -3*q**2 + 1603*q - 522. Calculate c(534). 12 Let l(j) = 4*j**2 + 1134*j - 55383. Determine l(-326). 37 Let k(m) = -12*m**3 + m**2 + 19*m - 22. What is k(4)? -698 Let b(k) = -4*k**2 - 288*k + 28783. Determine b(56). 111 Let p(w) = -225*w**3 + 20*w**2 + 40*w - 5. Calculate p(2). -1645 Let x(d) = -6527*d - 1573000. What is x(-241)? 7 Let p(v) = -586*v**2 + 121*v + 117. Determine p(-1). -590 Let t(c) = c**2 - 117*c - 20861. Calculate t(219). 1477 Let c(z) = 1210*z - 3261. Give c(4). 1579 Let s(u) = -5*u**2 + 79*u - 164. What is s(8)? 148 Let z(c) = -2164*c - 177526. Give z(-82). -78 Let v(t) = t**2 - 81*t - 3879. Give v(-34). 31 Let d(z) = -4*z**2 - 2961*z + 29725. Calculate d(10). -285 Let z(l) = -l**2 + 37450*l - 1010441. Determine z(27). -20 Let l(c) = -314193*c + 2513550. Determine l(8). 6 Let k(x) = -143*x - 1550. Give k(-6). -692 Let v(h) = h**3 + 179*h**2 - 1766*h + 609. Calculate v(9). -57 Let t(j) = -7*j**3 + 3224*j**2 + 1374*j + 4343. Determine t(461). 194 Let w(u) = 3225*u - 9672. Calculate w(3). 3 Let t(z) = -52058*z - 208227. What is t(-4)? 5 Let x(q) = 32*q**3 - 25*q**2 + 75*q + 6. Determine x(3). 870 Let b(v) = -v**3 - 52*v**2 + 166*v + 3029. Calculate b(-54). -103 Let a(k) = 1287*k**2 - 2628*k + 43. Determine a(2). -65 Let b(k) = 3*k**2 + 341*k + 659. Calculate b(-115). 1119 Let i(u) = -12892*u + 2114287. Determine i(164). -1 Let u(b) = -828952*b - 9118478. Determine u(-11). -6 Let p(i) = 8*i**2 + 13645*i - 239495. What is p(-1723)? 2 Let c(f) = 80*f - 152. Calculate c(0). -152 Let r(f) = -f**3 + 9*f**2 + 142*f + 320. Determine r(-6). 8 Let x(n) = -3*n**2 - 19652*n + 433846. Determine x(22). 50 Let j(x) = -113*x**2 - 8303*x + 12908. Give j(-75). 8 Let n(q) = -1106*q - 95109. Calculate n(-86). 7 Let d(y) = -5872*y**2 - 111565*y + 59. What is d(-19)? 2 Let r(s) = -793*s**2 - 1513*s + 133. Give r(-2). -13 Let d(y) = 2*y**3 + 162*y**2 + 2013*y + 9186. Calculate d(-67). 7 Let g(m) = -8724*m**2 + 114*m + 123. Give g(-1). -8715 Let y(g) = g**2 - 157895*g + 1263102. What is y(8)? 6 Let r(v) = -2*v**3 - 31*v**2 + 91*v + 341. Calculate r(-16). -859 Let n(f) = 28*f**3 + 3*f**2 - 975*f - 977. What is n(-1)? -27 Let t(a) = -753*a + 9785. Give t(13). -4 Let v(d) = -8*d**2 - 99*d + 41. Calculate v(-9). 284 Let c(m) = -19*m**3 + 4*m**2 + 62*m + 230. Give c(-4). 1262 Let d(m) = 5424*m - 629429. Give d(116). -245 Let k(w) = 3*w**3 - 258*w**2 + 250*w + 389. What is k(85)? -36 Let p(j) = -14487*j - 86955. Determine p(-6). -33 Let z(g) = g**3 - 60*g**2 - 2216*g - 14323. Give z(-9). 32 Let x(d) = 1361*d - 88400. Give x(65). 65 Let x(b) = -34641*b - 34634. Calculate x(-1). 7 Let o(u) = -237*u + 57129. Give o(241). 12 Let a(f) = 4*f**2 - 3991*f + 46347. Give a(986). 5 Let c(i) = 827456*i + 1654913. Give c(-2). 1 Let g(d) = d**3 + 1905*d**2 + 7586*d - 98. What is g(-4)? -26 Let u(d) = -9*d**2 + 272*d - 556. What is u(22)? 1072 Let o(j) = j**3 - 42*j**2 - 226*j - 437. Determine o(47). -14 Let h(l) = l**3 - 196*l**2 + 1131*l + 2135. Calculate h(190). 425 Let k(x) = x**3 - 4*x**2 - 23626*x + 118114. Calculate k(5). 9 Let w(m) = m**3 - 29*m**2 + 82*m + 178. Give w(25). -272 Let u(z) = z**3 + 39*z**2 - 93*z - 162. Determine u(0). -162 Let s(q) = -8*q**2 + 286*q + 872. Give s(-5). -758 Let w(g) = -3460*g**2 + 51891*g + 32. What is w(15)? -103 Let r(k) = k**2 - 7374*k + 139743. Give r(19). -2 Let z(i) = -39*i**2 - 674*i + 2366. What is z(3)? -7 Let q(a) = 2*a**2 + 1821*a - 33414. Determine q(18). 12 Let q(l) = -1399*l - 18152. Calculate q(-13). 35 Let q(v) = 1542*v - 79996. Calculate q(52). 188 Let g(v) = 19448*v + 78043. Determine g(-4). 251 Let n(k) = 1006*k + 12132. Give n(-12). 60 Let f(a) = -43667*a - 22139166. Determine f(-507). 3 Let o(s) = -49841*s + 3688238. Determine o(74). 4 Let p(m) = 3*m**3 + 4*m**2 - 11*m - 423. Give p(5). -3 Let d(r) = -332*r + 4448. Calculate d(13). 132 Let o(c) = -c**3 + 11*c**2 - 700*c - 5669. Calculate o(-8). 1147 Let c(y) = -y**2 + 703516*y + 16181395. Give c(-23). -2 Let h(b) = -2*b**3 - 109*b**2 - 47*b + 342. What is h(-54)? -36 Let d(i) = 869*i + 109490. Calculate d(-126). -4 Let k(b) = b**2 + 619*b - 68703. What is k(96)? -63 Let i(b) = -2*b**3 - 63*b**2 + 878*b - 43. What is i(-42)? 125 Let j(a) = -486*a + 36440. Give j(75). -10 Let t(w) = w**3 + 6*w**2 - 471*w + 2770. What is t(-27)? 178 Let l(p) = p**3 - 47*p**2 - 1490*p - 1696. Give l(69). 236 Let o(n) = 7915*n - 1187258. Give o(150). -8 Let b(h) = 1444*h + 28889. What is b(-20)? 9 Let k(w) = -w**3 - 67*w**2 - 695*w - 22. What is k(-54)? -400 Let l(r) = 8797*r + 879708. Give l(-100). 8 Let l(w) = 27*w**3 + 6*w**2 + 1418*w + 2831. Determine l(-2). -197 Let b(a) = -579*a**2 + 26063*a - 326. Give b(45). 34 Let a(h) = -541*h**2 + 57887*h + 11. Give a(107). 11 Let i(j) = 18*j**2 - 256*j - 816. Give i(17). 34 Let a(m) = m**2 + 1256*m + 67202. Give a(-56). 2 Let u(l) = l**2 + 784*l + 7716. Determine u(-10). -24 Let u(x) = -24*x**2 + 11*x - 21. Give u(5). -566 Let w(j) = 4*j**2 + 173*j - 1898. Determine w(-56). 958 Let h(x) = -14*x**2 + 279*x - 1541. Calculate h(8). -205 Let g(d) = 1049*d + 1085. Determine g(-1). 36 Let y(r) = -3547*r - 638461. Give y(-180). -1 Let m(o) = -4*o**3 - 28*o**2 - 51*o + 8. What is m(-4)? 20 Let j(u) = 4*u**3 + 1041*u**2 + 66452*u - 10. Giv
{ "pile_set_name": "DM Mathematics" }
f l? 17 Let o(s) = s**3 - 28*s**2 - 2*s - 45. What are the prime factors of o(29)? 2, 3, 41 Let r be 0 + -1 + (3 - 0). Suppose r*l - l = 41. What are the prime factors of l? 41 Let p = 609 + -414. Suppose -4*z + 378 = 5*o - 3*o, -2*z + o = -p. Suppose h = 4*h - z. What are the prime factors of h? 2 Let b(c) = -c**2 - 11*c. Let a be b(-9). Let n = a - 26. What are the prime factors of (-453)/(-12) - 2/n? 2, 19 Suppose -47*x + 1574 = h - 46*x, -2*x = 4*h - 6290. What are the prime factors of h? 1571 Let j = -11 - -13. Let x = j + -2. Suppose x*u = -2*u + 36. List the prime factors of u. 2, 3 Let h = -253 - -377. Suppose 16*n = 13*n + u + 400, n + 2*u = h. What are the prime factors of n? 2, 3, 11 Let a(l) = -252*l - 196. What are the prime factors of a(-7)? 2, 7 Let w = -27 + 30. Suppose w*j - 5*j - 46 = 0. Let v = j - -72. What are the prime factors of v? 7 Suppose -8*b = -10177 + 449. List the prime factors of b. 2, 19 Suppose 2*t - 2656 = -2*x - 2*x, -5*x + 6620 = 5*t. What are the prime factors of t? 2, 3, 5, 11 Suppose 5*j = d - 55, -5*d - 6*j = -2*j - 130. Suppose 13*g = 15*g + d. List the prime factors of -4 - 160/g*6. 2, 3, 5 List the prime factors of (-423)/((20/200)/((-42)/45)). 2, 3, 7, 47 Let b(p) = 21*p - 3*p**3 + 41*p**2 + 2*p**3 - 25*p**2 - 32. What are the prime factors of b(17)? 2, 3 Let a be (1 + 3)*(-44)/16. Let x = 16 + a. Suppose x*w = -17 + 157. What are the prime factors of w? 2, 7 Let c(h) = -h**2 - 10*h + 5. Suppose -5*j = -x + 3 + 7, 4*j = -3*x - 65. Let t be (-3)/(-2)*80/x. List the prime factors of c(t). 3, 7 Suppose g - 1 + 4 = 0. Let s = 0 - g. Suppose p - s*p + 9 = 3*c, -p = 4*c - 7. What are the prime factors of p? 3 List the prime factors of 666 - (-1)/2*(33 + -37). 2, 83 Let r(u) = -u. Suppose 6 = 5*y + 2*c, -2*y = -7*y + 5*c - 15. Let t be r(y). Suppose t = -5*m + 20. What are the prime factors of m? 2 Suppose 4*p - 643 = 125. Suppose 0 = -10*g + 13*g - p. Let l = 98 - g. What are the prime factors of l? 2, 17 Let h = -20 + 71. List the prime factors of h. 3, 17 Let b = -23 - -22. Let w = b - -14. Let o(f) = -f**3 + 13*f**2 + 6*f - 20. What are the prime factors of o(w)? 2, 29 Suppose -2*h - 3*h + 15 = 0. Suppose r = -a + 66, r + 64 = -h*a + 4*a. List the prime factors of a. 5, 13 Let n = -37 - -40. Suppose n*l + 228 = 7*l. List the prime factors of l. 3, 19 Let w = 45 - 111. Let f be 4/14 - w/14. Let x = -1 + f. List the prime factors of x. 2 Suppose -2*l - 4584 = -6*l. What are the prime factors of l? 2, 3, 191 Suppose p = 79 + 29. Suppose -2*x - 170 = -3*l, 0*l + 4*x = 2*l - p. List the prime factors of l. 2, 29 Let g(u) be the first derivative of -u**3 + u**2/2 + 204*u + 38. What are the prime factors of g(0)? 2, 3, 17 Let u = -10 - -12. Suppose 0 = u*c - 5*c - 24. List the prime factors of c/4 + 4 + 7. 3 Suppose -2*c + 6 = -5*c. Let u(w) = 2*w**2 + 2*w - 2. Let m be u(c). Suppose 5*t + 0*p = 5*p + 120, m*t - p = 53. List the prime factors of t. 29 Let u(a) = -a**3 - 6*a**2 - 37*a + 8. List the prime factors of u(-14). 2, 3, 349 Suppose 328*o - 1328 = -g + 324*o, 2*g - 2662 = -5*o. List the prime factors of g. 2, 167 Let k = 1347 + -889. What are the prime factors of k? 2, 229 What are the prime factors of (2/4)/(7630/2540 - 3)? 127 What are the prime factors of -6 - 261/(-45) - (-40582)/10? 2, 2029 List the prime factors of ((-242)/3)/((-6)/90). 2, 5, 11 Suppose 14 = -3*m + 4*o + 102, -2*m = -2*o - 56. What are the prime factors of m? 2, 3 Let p = -1909 + 2483. What are the prime factors of p? 2, 7, 41 Let n(p) = 42*p - 30. Let r be n(13). Let b = r + -366. What are the prime factors of b? 2, 3, 5 What are the prime factors of 1 + -1 + ((-266)/1)/(-2)? 7, 19 Suppose b + 4*r + 0 = -2, 4*b = -r - 53. Let d = b - -16. Suppose -2*z + d*a = -78, -z - 162 = -5*z + a. List the prime factors of z. 41 Let x = 37 - 25. List the prime factors of 9*344/x - (-6)/(-3). 2 Suppose 5*f - 9*f + 616 = 0. Suppose -44*s + 46*s - f = 0. List the prime factors of s. 7, 11 List the prime factors of (371/212)/((-2)/(-152)). 7, 19 Let z be -8 - (-7)/(21/6). Let j = 25 - z. List the prime factors of j. 31 Let l(c) = -c**3 + 4*c**2 + 7*c - 6. Let f be l(5). List the prime factors of -1 - 79/(-1) - f. 2, 37 Let h = 4188 - 2870. What are the prime factors of h? 2, 659 Let j(r) = 296*r**2 - 3*r - 10. List the prime factors of j(-2). 2, 5, 59 Let f(w) = -w**3 - 12*w**2 + 7*w - 8. Let j be f(-13). Let i = j + -15. List the prime factors of i. 5, 11 Let j(c) = -14*c - 2. Let u be j(2). Let b = 33 + u. Let o(y) = 2*y**2 + 3. What are the prime factors of o(b)? 3, 7 Suppose 0 = -2*h + 2*v, h + 3*v - 4 + 0 = 0. Let c be (2 - h/(-1)) + 15. Let y = c + 17. What are the prime factors of y? 5, 7 Suppose 2*n - 3212 = -2*m, -5*n + 1666 = 3*m - 3152. What are the prime factors of m? 2, 11, 73 Let x(v) = 31 - 116 + v**3 + 8*v - 21*v**2 + 44 + 2*v. What are the prime factors of x(21)? 13 Let l(r) be the second derivative of r**3/6 + 7*r**2/2 - 2*r. Let t be l(5). Let i = -8 + t. List the prime factors of i. 2 Suppose 6*q = q + 380. Let s = q + 148. Suppose 0 = -4*f - 4*p + s, -2*f + 125 = 3*p + 14. List the prime factors of f. 3, 19 Let b = 25 - 23. List the prime factors of b/(-7) + (-60)/(-14). 2 Let d(a) = 100*a + 188. List the prime factors of d(36). 2, 947 Let x(v) = -v**3 - v. Let i be x(-1). Suppose 0 = -3*u + i*j - j + 313, 2*j = -2. What are the prime factors of u? 2, 13 Let t be 4/(8/(-6)) + 8. Suppose -t*y = -s + 10, 4*s = 3*y - 12 + 1. What are the prime factors of (-18)/2*s*1? 3, 5 Suppose -3*g = -3*n - 2496, 0 = -5*g - 4*n + 3404 + 756. List the prime factors of g. 2, 13 Let d(o) = -130*o + 791. List the prime factors of d(-6). 1571 Suppose -8*g - 33 = -5*g. Let s = g - -14. Suppose -s*a + 18 = n, -3 = 2*a - 11. List the prime factors of n. 2, 3 Suppose -1 = -5*o + 119. Suppose -4*t + 28 = -3*j + t, 5*t = -j + o. Let y(q) = -33*q - 2. List the prime factors of y(j). 31 Let k(m) = -m**3 + 19*m**2 - 39*m + 68. List the prime factors of k(15). 383 Let r(v) = 13*v**2 - 12*v + 4. List the prime factors of r(6). 2, 5 Let o(h) = 6*h + 153. What are the prime factors of o(29)? 3, 109 Suppose 16*q - 15*q - 926 = 0. Suppose 5*k + 301 = q. What are the prime factors of k? 5 Let y be (-4 - (-15)/10)*-120. Suppose -3*m = -759 + y. List the prime factors of m. 3, 17 Let y(n) be the second derivative of n**6/720 + n**5/15 - 5*n**4/6 - 11*n. Let z(x) be the third derivative of y(x). What are the prime factors of z(10)? 2, 3 Let u(j) = 4*j**2 + j - 5. Let w be u(-5). Suppose 0 = g + 2*o - w, -4*g - g = -3*o - 424. Let r = -60 + g. What are the prime factors of r? 2, 13 Suppose -1648 = -k - 3*k - 4*g, -3*k - 5*g = -1236. List the prime factors of k. 2, 103 What are the prime factors of 8/3*(-4950)/(-20)? 2, 3, 5, 11 Suppose 70 + 483 = 7*u. What are the prime factors of u? 79 Let k be 53 - (1/(-4))/(6/(-48)). Suppose -i + 15 = 46. Let f = k + i. List the prime factors of f. 2, 5 Suppose 0*c + c + 14 = 0. Suppose 0 = -5*z + 9 + 6. Let x = z - c. What are the prime factors of x? 17 Let v(t) = 159*t + 27. List the prime factors of v(4). 3, 13, 17 Suppose 17*x - 8584 = -5*r + 19*x, 12 = 4*x. List the prime factors of r. 2, 859 Let l(i) = -24*i**3 + i**2 + 3*i - 2. Let k = 90 - 92. What are the prime factors of l(k)? 2, 47 What are the prime factors of -2 - -12*(3 + 1 - -56)? 2, 359 Let v be (36/60)/((-2)/(-60)). Let p = v + -16. List the prime factors of (-44 - 2)/(-1) - p. 2, 11 What are the prime factors of (3786 - 110)*(-2)/16*-2? 919 Let l(f) be the second derivative of f**4/12 - 2*f**3/3 + 3*f**2 - 9*f. Let b be (-10 - 5)*(-2)/6. List the prime factors of l(b). 11 Suppose 2*k - 3*c - 3509 = 0, -k + 4*c + 739 = -1028. List the prime factors of k. 1747 Let c be -5*(-4)/10 + 0. Suppose -b - 13 = 3*i, -c*i + 6*i = 5*b - 30. Suppose -3*t - b*v = t - 204, -51 = -t + 3*v. List the prime factors of t. 3, 17 Let w(a) be the first derivative of 5*a**2/2 - 84*a + 38. List the prime factors of w(19). 11 Let q = 771 + -349. Suppose 0*x + 2*n = -3*x + 316, -4*x - 3*n + q = 0. What are the prime factors of x? 2, 13 Suppose -2*d + 2*s = -1006, 13*s = 3*d + 18*s - 1549. What are the prime factors of d? 2, 127 Let v(n) = 95*n + 27. What are the prime factors of v(27)?
{ "pile_set_name": "DM Mathematics" }
w to 5 decimal places. 0.00001 Let j = -0.072 - 9.128. Let x = -1091.3 - -1082. Let f = x + j. What is f rounded to the nearest integer? -19 Let b = 5112.999996994 + -5113. Round b to seven decimal places. -0.000003 Let u = -5.586267 + 0.584647. Let r = -5.01 - u. What is r rounded to 4 decimal places? -0.0084 Let b = 7.838 + -0.038. Let s = -42.3 + 40. Let u = s + b. What is u rounded to the nearest integer? 6 Suppose 3*u - 9 = -5*o, 5*u + 5*o = 3 + 12. Suppose 601740 = s - u*i + 2951737, -s = i + 2350001. Round s to the nearest 100000. -2400000 Let y be (-1)/(-4) + 5/(-4). Let h = -6924 + 14921. Let s be (676 + y)*(h + 3). Round s to the nearest one million. 5000000 Let k = 21165 - 21167.2772. Round k to 0 dps. -2 Suppose -2*h + 1426565010 = 4*t - 459435006, 4*h + 5*t - 3772000020 = 0. Suppose 25*g = 2*g + h. Round g to the nearest 1000000. 41000000 Let v = -168 + 335. Let a = -168.08 + v. What is a rounded to the nearest integer? -1 Let m(x) = -x**3 - 11*x**2 - x - 12. Let a be m(-11). Let b be (5/(5/a))/(4/(-1936)). What is b rounded to the nearest 10? 480 Let w = 2266.92805 - 2267. Round w to two decimal places. -0.07 Let r = -26750.99999968206 + 26751. What is r rounded to seven decimal places? 0.0000003 Suppose -3*o - 4*u - 11891984 = -6*o, 2*o + 2*u = 7928008. Round o to the nearest 1000000. 4000000 Let l = 1272476.798845923 - 6943811.306846433. Let k = l + 5671370.508. Let r = k - 36. Round r to seven decimal places. -0.0000005 Let v = -148.82 + 154. Let o = 26.28 - v. Round o to zero decimal places. 21 Let u = 25465 - 25465.072913. What is u rounded to 4 dps? -0.0729 Let u(n) = -1625*n**3 + n**2 - 2*n + 2. Suppose 0 = 4*i + 2*z + 3*z + 8, -5*z = 5*i + 10. Let t be u(i). Round t to the nearest 1000. 13000 Let f(d) = 1923*d - 263. Let k be f(-3). Round k to the nearest 100. -6000 Suppose -76*v + 2*w = -72*v + 9891996, -w = 3*v + 7419002. What is v rounded to the nearest 1000000? -2000000 Let w = 10752 + -8825.3. What is w rounded to the nearest one thousand? 2000 Let t(o) = -o**2 + 11*o - 7. Suppose 8*s - 14*s = -60. Let z be t(s). Suppose 2*c = z*c + 3100. Round c to the nearest one thousand. -3000 Let j = -7302.6268 - 0.1732. What is j rounded to the nearest one thousand? -7000 Let v = 1.2857 - 0.0217. Let n = 4.52 - v. What is n rounded to the nearest integer? 3 Let b = 2443.54 - 2469. Let x = -27.5 - b. Round x to one decimal place. -2 Let x = -1236.000002573 - -1236. What is x rounded to 7 decimal places? -0.0000026 Suppose 330 = 12*n - 270. Let g be -656*-125*n/(-2). What is g rounded to the nearest one hundred thousand? -2100000 Let j = -77611.4664 - -77642. Let x = j + -30.5. What is x rounded to 3 dps? 0.034 Let n = -15388 + 15388.6815. What is n rounded to one dp? 0.7 Let l = -48429 - -48429.000029523. What is l rounded to six decimal places? 0.00003 Let r(u) = 11*u - 63. Let l be r(6). Suppose 10*o - l*o = -9100000. Round o to the nearest one million. -1000000 Let n(a) = -2*a**2 - 31*a - 71. Let i(l) = -5*l**2 - 60*l - 143. Let m(q) = -3*i(q) + 7*n(q). Let j be m(19). What is j rounded to the nearest 100? -400 Let r = -682373 + 682372.9564089. Let s = 0.0436 + r. What is s rounded to 5 decimal places? 0.00001 Let y = -11.265 + 14.83. Let r = y - 4.3843. What is r rounded to one decimal place? -0.8 Let n(m) = 24*m - 245. Let k be n(-6). Let i(l) = -93*l - 3. Let b be i(6). Let s = b - k. Round s to the nearest 10. -170 Let y = -915.0000006661 + 915. What is y rounded to 7 decimal places? -0.0000007 Let i = 380 + -579. Let m = i - -26. Let v = m + 172.9999929. What is v rounded to six dps? -0.000007 Let s = 1537905.9398 + -1538083. Let y = -177 - s. Round y to three dps. 0.06 Let n = -0.318 - -314.318. Let a = n + -314.0000346. Round a to six decimal places. -0.000035 Let i be (-2 + 260177)*-24*(-9 - (-174)/18). What is i rounded to the nearest one million? -4000000 Suppose 2964 + 456 = 12*h. Suppose -292*l = -h*l - 6629. Round l to the nearest one hundred. 900 Let m = 76.3553096 + -76.36. What is m rounded to three dps? -0.005 Let f = 48.903 + -49.5. Let w = f + 0.597028. What is w rounded to six dps? 0.000028 Let i be ((-24)/(-9) - 3)*3*-2. Suppose 0 = i*v - 658953 - 711047. What is v rounded to the nearest 100000? 700000 Let u(f) = -15166*f - 1355. Let x be u(-5). What is x rounded to the nearest 10000? 70000 Let m = 118573026 + -118573025.886167279. Let r = m + -0.11384. Round r to 6 decimal places. -0.000007 Let s = -7.177 - 0.044. What is s rounded to zero decimal places? -7 Let w(n) be the second derivative of n**4/2 + 35*n**3/6 - 12*n**2 + 44*n. Let g be w(18). What is g rounded to the nearest one hundred? 2600 Suppose 3*n = 45 - 27. Suppose 0 = -n*j - 10529195 - 6492805. Round j to the nearest 100000. -2800000 Suppose 3*l - q - 9241502 = 0, 150*q - 6160994 = -2*l + 147*q. Round l to the nearest one hundred thousand. 3100000 Let z = -15.45 + -697.55. Let l = -15441351873.760000523 + 15441351160.76. Let g = z - l. What is g rounded to 7 decimal places? 0.0000005 Let k(l) = -2*l**3 - 6*l**2 - 14*l + 1. Let b be k(-5). Suppose 707 = -8*s + b. Round s to the nearest 100. -100 Let y = -3902 - -2146.7. What is y rounded to the nearest 10? -1760 Let j = -0.13 + 0.1655. Let p = 3242.965 - 3243. Let q = j + p. Round q to four decimal places. 0.0005 Let c = 811 + -451. Let x = -359.9993 + c. What is x rounded to 3 decimal places? 0.001 Let f be (-6)/1 + (15 + -7488009 - 0). Round f to the nearest one hundred thousand. -7500000 Let n = -49763.80228 - -49912.79. Let l = n - 149. What is l rounded to three decimal places? -0.012 Let z = -20.299 - -1.611. Round z to one dp. -18.7 Let m = 2617.37 + -2642. What is m rounded to the nearest ten? -20 Let a = -79.066 - -220.823. What is a rounded to 1 dp? 141.8 Let t = -0.339 + 0.3456. Let x = 0.0056 + t. Round x to 1 decimal place. 0 Let z = 0.274655 + -0.2728. What is z rounded to 4 dps? 0.0019 Let j = -4.99 + -91.69. Let u = j - -96.686347. Round u to three dps. 0.006 Let j = -208 - -213. Let c(f) = 18*f**2 - 2*f - 17. Let v be c(j). Round v to the nearest one hundred. 400 Let p = 52695.00040329 - 52695. What is p rounded to six decimal places? 0.000403 Let v = -40 - -70. Let z = v + -32.5. Let g = 2.428 + z. Round g to 2 decimal places. -0.07 Let m(s) = -s**3 - s**2 - 2*s + 7. Let z = 37 - 33. Let c be ((-26)/(-6) - z)*0. Let l be m(c). What is l rounded to the nearest integer? 7 Let u = 303.061 - 303. Let q = -23.225964 - -23.165. Let b = q + u. What is b rounded to five dps? 0.00004 Let t = 0.0085 - 342.0085. Let z = t - -341.99999204. What is z rounded to 6 decimal places? -0.000008 Let o = -9929.94928 - -9931. Round o to two decimal places. 1.05 Let q = 6541654 + -6544954.423. Let r = q - -3299. Let s = -0.063 - r. Round s to zero dps. 1 Let c = -45.161 + 45.161020649. What is c rounded to 6 dps? 0.000021 Let r = 4.2912 + -54.1142. Round r to 1 decimal place. -49.8 Let i = -223596894 + 223596894.196799778. Let z = i + -33.196800878. Let h = 33 + z. Round h to 6 dps. -0.000001 Suppose -5*o = 4*s + 16 - 0, 12 = 5*o - 3*s. Suppose -6*h + 68000 = -495994. Suppose 2*m - x + h = o, -2*x = 2*x + 4. What is m rounded to the nearest 10000? -50000 Let r = 260 + -445. Let l = 184.9999994 + r. What is l rounded to six dps? -0.000001 Let z be (264/(-396))/((-2)/(-109))*6180. Round z to the nearest one thousand. -225000 Let g = -129 - -107.5. What is g rounded to one decimal place? -21.5 Let m = 24394.4 - 25400.37. What is m rounded to the nearest one hundred? -1000 Let b = 1343850 - 3269551. Let j(x) = -906425*x**2 - x + 1. Let d be j(2). Let v = b - d. What is v rounded to the nearest one hundred thousand? 1700000 Let u = -4799 + -90021. Round u to the nearest 10000. -90000 Let i = -459.5 + 260.8. Let z = i - -199.729. What is z rounded to 1 dp? 1 Suppose 4*x = -2*s - 8, 3*x - 19 + 40 = -3*s. Let v be 1044/45*(s/4 - 0). Round v to 0 decimal places. -58 Let r = 29.1858157 + -29.186. What is r rounded to six decimal places? -0.000184 Let s be (3 + (-30)/12)/(5/(-50)). Let v be 4/(s - -9) - 1561. What is v rounded to the nearest one thousand? -2000 Let j(m) = 2*m + 33. Let s be j(11). Suppose -3*a = p + s, 5 = -a - p - 14. Let y be (-7399 + -1)*(a/6 + 23). What is y rounded to the nearest 1
{ "pile_set_name": "DM Mathematics" }
)/10 + (-6)/(-2) and j? 15 Suppose j = -j - 4. Let q = 4 - j. Let c(r) = 2*r**2 + 4*r + 4. What is the least common multiple of c(-4) and q? 60 Let f be (84/10)/(6/15). Suppose u + 2*u - 33 = -2*c, 3*u = 4*c - f. What is the lowest common multiple of 9 and c? 9 Calculate the common denominator of ((-1)/(-4))/(6/(-402)) and 121/18. 36 Let h(c) = c**2 - c - 3. Let b(a) = -a**3 + a**2 + 2*a + 1. Let v be b(-1). Suppose 4*w = v + 15. Calculate the lowest common multiple of h(w) and 9. 9 Let n = 5446 - 54573/10. What is the common denominator of 7/166 and n? 830 Find the common denominator of 41*(3/(-66) + 0) and 47/10. 110 Let g = 0 - -2. Calculate the common denominator of (-2)/(-6)*(-33)/2 and (51/g)/((-3)/5). 2 Let n = 112686 - 573448/5. Let x = n + 1997. Calculate the common denominator of 53/3 and x. 15 Let i = 1939 - 42637/22. Calculate the common denominator of 234/8 - (-4)/16 and i. 22 Suppose -2*k + 48 = -6. Calculate the common denominator of ((-21)/k)/((-1)/(-6)) and 33/10. 30 Calculate the common denominator of 23/12 and (-1)/4*50/(-2). 12 Suppose 4*h + 4*v - 40 = 0, 0*v - 10 = 5*v. Let m(w) = 17*w**2 + 1. Suppose -2*p = -5*p + 3. What is the lowest common multiple of h and m(p)? 36 Suppose 2*y - 6 = -b, -2 = -b - y + 4. Let w be 128/b*(-9)/6. Let r = w + 46. Calculate the least common multiple of 12 and r. 84 Let t = -125 + 50. Let y(q) = -2*q**2 + 8*q - 3. Let k be y(7). Let v = k - t. Calculate the common denominator of v and -27/8. 8 Suppose -y = 3*f - 11, 5*f - 25 = -6*y + y. Suppose -4 = -0*j - y*j. Let z(o) = -o**2 - 17*o - 4. What is the least common multiple of j and z(-16)? 12 Let n = 36273/418 + -1736/19. What is the common denominator of -65/4 and n? 44 Calculate the common denominator of -71/9 and 1/5 - (-259)/30. 18 Let m = -4 - -24. Calculate the smallest common multiple of 20 and m. 20 Let b = -10492/9 + 1170. Calculate the common denominator of (-2)/(-10) + (-1796)/80 and b. 36 Suppose 4*n = -z - 4 + 1, -4*z = n - 18. Suppose z*i - 37 = -17. What is the least common multiple of 12 and i? 12 Suppose 2*c - 8 = -2*t + 4*t, 52 = 5*c + 3*t. Suppose -6*o = -4*o - 28. What is the lowest common multiple of o and c? 56 Let f = -503/20 - -55/4. Find the common denominator of f and 64/9. 45 Let v = -24/7391 + 49822851/36955. Let d = -80497/60 + v. What is the common denominator of d and -65/6? 12 Let k(g) = -g**2 - 9*g - 6. Let q be k(-8). Let i = 374/37 + -6457/518. Calculate the common denominator of i and q*(107/4 - 3). 14 Let r be (-6)/24 - (-1545)/(-12). Let s = -703/6 - r. Suppose -3*u = 7 + 101. Calculate the common denominator of s and u. 6 Let b(g) = g**2 + 5*g - 3. Let y be b(3). Let o = y - 13. Calculate the lowest common multiple of 0 + -2 - (-5 - -1) and o. 8 Calculate the lowest common multiple of ((-12)/(-5))/(5/25) and 98. 588 Suppose -4*z + 21 = 1. Suppose -2*p + 2*m + 1 = -1, -2*m = 5*p + 16. Calculate the least common multiple of 9 and (-16)/(-10) - p/z. 18 Calculate the smallest common multiple of (-15)/6*(-90)/25 and 6. 18 Let t = 37 - 60. Find the common denominator of (-2 - t/(-4))*3 and -77/8. 8 Let x = -728102/1834917 + -2/14007. Let p = 8311/1834 - x. What is the common denominator of p and -37/20? 140 Suppose -7*x + 2*x - 105 = 0. What is the common denominator of 7/16 and (7/x)/(28/222)? 112 Let s be 6*3*(-158)/(-4). Suppose 0*w + 4*g + 1452 = -4*w, 2*w - 3*g + s = 0. Calculate the common denominator of 33/8 and 2/(-10) + 1628/w. 72 Calculate the common denominator of -20/9 and 60/14 + -4 - 334/189. 27 Let o(l) be the second derivative of 0 + 1/4*l**4 + 1/2*l**2 + 2*l + 1/6*l**3. Calculate the lowest common multiple of o(-2) and 11. 11 Let o = 14816/119 + -2349663/1904. Let i = o - -1108. Find the common denominator of i and 2 - (-3 - 151/(-6)). 48 Let b be 6/9*(463 - 0). Let o = b - 7711/24. Let x = -1279/170 + 150/17. What is the common denominator of x and o? 40 Let a(q) = q**3 - 4*q**2 - q + 2. Let h be a(4). What is the smallest common multiple of 0 - (14/h + -1) and (-12)/6*2*-2? 8 Suppose 5*n + 4*o - 40 = 3, -n + 2*o = -17. Let l(x) = -x + 4. What is the least common multiple of l(-5) and n? 99 Let r be (-32)/(-14) - 4/14. What is the common denominator of (-70)/12 + 0 - r and 103/6? 6 What is the common denominator of 31/3 and (-15)/(-20)*262/45? 30 Let o = 4825/28 - 669/4. Find the common denominator of o and 52/(-40) - (2 - -2). 70 Let w be (-4)/(-18) - 34/(-9). Suppose 5*v - w*v = 10. Let l(n) = n**2 + n + 5. Calculate the lowest common multiple of l(0) and v. 10 Calculate the common denominator of 97/4 and 1274/420 - 2/(-15). 12 Calculate the common denominator of 97/6 and ((-1)/(-4))/((-36)/(-104)). 18 Let m(c) = c**3 + 16*c**2 - c - 14. Let b be m(-16). Let h = -3 - -5. What is the smallest common multiple of 350/14*b/5 and h? 10 Suppose 2*p + 2*t + 8 = 4*p, -4*p - t = -6. Calculate the lowest common multiple of 18 and 3/((-9)/(-48)) - p. 126 Let t = -73942/15 + 4926. Find the common denominator of t and 73/21. 105 Let c = 90051/22 - 4092. Let r = 12 + 4. Calculate the common denominator of c and r/5 - (-4)/16. 220 Suppose 2*s - 7*s = -15. Calculate the least common multiple of s and 6. 6 Let o = 6/943 + -78353/13202. What is the common denominator of 109/10 and o? 70 What is the common denominator of 179/36 + (-6)/(-3 - -27) and -53/30? 90 Calculate the least common multiple of 3 and -6*(-8 + 5)*(-3)/(-2). 27 Let g(b) = -b**3 + 6*b**2 + 3. Let z be g(6). Let d(q) = -q**3 + 4*q**2 + 2. Let l = 6 + 2. What is the least common multiple of d(z) and l? 88 Let t(m) = m. Calculate the least common multiple of t(12) and 12. 12 Suppose -114 = y - 334. Let j = y + -537/2. What is the common denominator of (-2)/(-8) - 42/(-4) and j? 4 Let y = -2 + 7. Suppose -y = -3*m + 1, 2*m = 5*v + 19. Let n = v + 5. What is the common denominator of n and -23/11? 11 Let o = 72794 + -932272759/12807. Let d = o + 465323/25614. Let g = -1512/5 + 299. Find the common denominator of g and d. 30 Let l(b) = -b - 2. Let k be l(-7). Let o = 9 + k. Calculate the lowest common multiple of o and 20. 140 Let v(j) = 4*j + 28. What is the least common multiple of 6 and v(24)? 372 Let f be (2 - 0) + 1 + -110. What is the common denominator of (-6)/4*f/27 and (-3)/(-9) - (-313)/(-66)? 198 Suppose -8 = -4*w + 4*d, -6 = -2*w - 2*d + 2. Suppose -5 = 5*n - 6*n. Suppose 28 = 3*g - n. What is the lowest common multiple of w and g? 33 Let y be 1 + (-10)/253*27. Let p = y + 36787/1518. What is the common denominator of p and (-5621)/980 + 4/14? 60 Let s(x) = -x**3 + 4*x**2 + x - 4. Calculate the smallest common multiple of (-9)/(-18)*18/1 and s(3). 72 Let m(a) = a**3 + 22*a**2 + 21*a + 2. Let z = 0 + 9. Calculate the lowest common multiple of z and m(-21). 18 Let t = 3 + 3. Let c = -90 - -57. Calculate the common denominator of 83/16 and (3*c/4)/t. 16 Suppose 0 = -5*s - 277 + 377. Suppose z - 4*z + 54 = 0. Calculate the least common multiple of z and s. 180 Suppose -2*o = -1 - 5. Suppose 5*t = t + 28. Let i = t - o. What is the lowest common multiple of 1 and i? 4 Let m = -34 - -44. What is the smallest common multiple of m and 16? 80 Suppose 0 = -2*t + 4*k, -5*k = t + 3*t - 65. What is the lowest common multiple of 14 and t? 70 Let t be -13*(-5 + 2) - 2. Calculate the common denominator of -73/3 and 3*t/(-33)*1. 33 Let i = -2 - -5. Let z(m) = m**3 - 3*m**2 + 4*m - 1. Calculate the smallest common multiple of z(i) and 11. 11 Let g = -237313/28889 - -3/8254. Let t = 1491/2 + -795. Find the common denominator of t and g. 14 Let b = -57143/20 - -2855. Let j = -30727/14854 - 3/1061. Calculate the common denominator of j and b. 140 Let a = 1415 + -2901/2. Let p be 15*(-3 + (-2996)/3). Let k = 180443/12 + p. What is the common denominator of a and k? 12 Let r = 8 - 6. Suppose -3*y + 3*o - 5*o = 687, 4*o + 681 = -3*y. Find the common denominator of 26/3 and r/1 + y/70. 30 Let p be -3 + (-971)/34652*455. Let l = p + -2/8663. What is the common denominator of l and -61/22? 44 Suppose -y + 4*p = 13, 2*y - y + 2*p = 5. Let c = -32563/2246 - 2/1123. Find the common denominator of c and (-3 - 178/(-4)) + y. 2 Let n(s) = s + 3. Let h be n(0). Suppose 3 = -h*p + 9. What is the least common multiple of p and 5? 10 Let p(h) = -308*h**2 + 7*h - 2.
{ "pile_set_name": "DM Mathematics" }
- 2 - 7*q. Let z be -6 - 2/(2 - 4). Determine s(z). 23 Suppose 3*l + 5*w - 19 = 0, -4*l + w - 19 + 6 = 0. Let u(x) = -25*x - 12. Let m(n) = -29*n - 14. Let y(i) = 6*m(i) - 7*u(i). Give y(l). -2 Let y(a) = -a**3 - 7*a**2 - 11*a - 34. Suppose -37*z - 168 = -9*z. Determine y(z). -4 Let g(n) = -1. Let t be (-11 + 0 - -3) + 3. Let w(x) = -x + 17. Let z(h) = t*g(h) - w(h). Suppose p + 25 = 3*r - 4*p, -2*r - p - 5 = 0. Calculate z(r). -12 Let a be 2/(-8) + 42/8. Let z(t) = -5*t**2 + 7*t - 2. Let v(m) be the first derivative of -2*m**3 + 7*m**2/2 - m - 2. Let c(k) = -4*v(k) + 5*z(k). Give c(a). 4 Let l(o) = 2*o**3 + 89*o**2 + 41*o - 131. Let g be l(-44). Let r(p) = 2*p**2 - 3*p + 1. Give r(g). 0 Let o(y) = -5*y**2 + y + 2. Let t(j) = j**2 - j - 1. Let f(w) = o(w) + 6*t(w). Determine f(5). -4 Let t(g) = -g**3 - 6*g - 9. Let l(u) = -u**3 - 3*u**2 - 7*u - 8. Let b(m) = 2*l(m) - 3*t(m). Give b(5). 6 Let b(s) = 16*s. Let r(i) = 47*i. Suppose 5*x - 2*x = -3*u - 30, 3*u + 2*x + 31 = 0. Let v(l) = u*b(l) + 4*r(l). Suppose -172*m - 183 = -355*m. Give v(m). 12 Let o = 0 - 2. Let p(z) = -15*z**3 + 107*z**2 + 24*z - 9. Let f(b) = -3*b**3 + 23*b**2 + 5*b - 2. Let d(n) = -14*f(n) + 3*p(n). Give d(o). 17 Let v(n) be the second derivative of n**3 + 5*n + 0 + 1/12*n**4 + 1/2*n**2. Let a = -7 - -2. Calculate v(a). -4 Suppose -2*a - t = -6*t + 5, -t + 1 = 3*a. Let z be -7 + 2 + a + 12/4. Let m(u) = -2*u - 1. What is m(z)? 3 Let f(n) = n**2 + 4*n + 7. Let x be f(-3). Let j be ((-2)/x)/(2 + 68/(-32)). Let c(o) = -o**3 + 3*o**2 + 6*o - 1. Determine c(j). 7 Suppose -3*h + 8 = 2. Let t(r) = -h*r**2 + 0 - 3*r**3 - 1 + 2*r**3 - 2*r. Suppose 8*o = 5*o + 6*z + 3, 2*z = -2. What is t(o)? 0 Let f be -4 - (-11)/((-55)/10). Let s(v) = 2*v + 6. Give s(f). -6 Let j(w) = -w**2 - 3*w + 3. Let a(v) = -v**2 - 2*v + 3. Let z(n) = -2*a(n) + 3*j(n). Determine z(5). -47 Let z(l) be the third derivative of -l**4/12 - 4*l**3 + 2*l**2 - 77*l. What is z(-15)? 6 Let x be 2/(-13) - ((-1206)/234 - -4). Let h(y) = -50*y**2 - 1. Determine h(x). -51 Suppose 4*b + 11 = 5*f, -b + 2*b - 2*f = -5. Let h(p) = 2 - b - 2*p - 5 - 3. Calculate h(-5). 3 Let h(q) = 10*q + 14. Let l(a) = 7*a + 12. Let v(i) = 4*h(i) - 6*l(i). What is v(-6)? -4 Let r be 42/4*8/12. Let n(p) = -66*p + 2. Let s(q) = 13*q + 1. Let u(x) = -n(x) - 5*s(x). Calculate u(r). 0 Let m(d) be the second derivative of d**3/2 + 2*d**2 + 7*d - 3. Give m(3). 13 Let k(v) = 10*v**3 - 4*v - 13. Let z(d) = 3*d**3 - d - 4. Let n(o) = -o**3 + 14*o**2 - 11*o - 19. Let s be n(13). Let a(w) = s*z(w) - 2*k(w). Calculate a(2). 8 Let a(y) = -25*y**2 + 17*y**2 + y**3 + 9*y**2 + 0 + 8. Give a(0). 8 Let p(b) = 3*b**2 - b**2 - b**2 - 6*b - 5. Suppose -85 = -o - 80. What is p(o)? -10 Let v(r) = -6*r**2 + 8*r - 1. Let a(h) = 7*h**2 - 10*h + 2. Let o(q) = -3*a(q) - 4*v(q). Calculate o(-1). 3 Let m(j) = -j**2 + 2*j + 17. Let o(y) = -y**2 + y - 1. Let w(d) = m(d) - 2*o(d). Let i(z) be the first derivative of w(z). Determine i(-5). -10 Let m(d) = d**3 - 5*d**2 + 5*d - 3. Suppose c = -4*f - 4 - 7, -3*f + 2*c - 22 = 0. Let o be (-3 - -1)*(f + 15/6). Calculate m(o). -6 Let j be (-3)/2*(-140)/42. Let c(v) = v**3 - v + 1. Let n(d) = 6*d**3 - 5*d**2 - 3*d + 10. Let w(z) = j*c(z) - n(z). What is w(4)? 3 Let c(a) be the first derivative of -a**4/12 - a**2/2 + 11*a - 2. Let j(y) be the first derivative of c(y). Calculate j(2). -5 Let c(i) = i - 1. Let a(g) = g - 2. Let m(n) = 3*a(n) - 4*c(n). Calculate m(0). -2 Let n(y) = -9*y - 18. Suppose 4*s + 18 = 5*k - 15, 5*k = s + 27. Let u be n(s). Let q(d) be the second derivative of -d**3/6 + 9*d**2/2 - d. Determine q(u). 9 Let f(q) = -q - 10. Suppose 2*j + 69 = 3*h + 106, -h - 29 = -4*j. What is f(h)? -1 Let u(z) = -z**3 - 7*z**2 - 4*z + 8. Let r(h) = -h + 3*h - 1 - 3*h. Let i be (-5)/((3 - 10)/7). Let p be r(i). What is u(p)? -4 Let o(i) = -6*i - 111. Let s be o(-19). Let f(b) be the first derivative of 6*b + 1. Let w(h) = h - 5. Let k(p) = s*w(p) + 2*f(p). Calculate k(4). 9 Let p(o) = 3*o + 10. Suppose -4*i - 4*q - 30 = i, 2*i - 4*q + 40 = 0. What is p(i)? -20 Let j(d) = d**2 + 8*d + 3. Let c(f) = -f**3 + 8*f**2 + 3*f - 16. Let g be c(8). Let p = g - 16. What is j(p)? 3 Suppose a + 3*n = -4, -26*a + 25*a + 5*n + 4 = 0. Let c(t) = -t**3 - 3*t**2 + 2. What is c(a)? 0 Let j(s) = -s**3 - 2*s**2 + 3*s - 1. Let i(x) = 3*x + 3. Let n be i(-2). Let v be j(n). Let k(m) = m + 1 - 655*m**2 + 0 + 662*m**2. Determine k(v). 7 Suppose 5*c - 39 = -214. Let l be 24/10 - (-14)/c. Let b(r) = r - l - 3 + 1. Calculate b(7). 3 Let c(z) = 0*z - z + 4*z - 4 - 2*z - z**3 - 2*z**2. Let l be c(-3). Let f(g) = 7*g**l - 3*g - 6*g**2 - 5 - 3*g. Give f(6). -5 Let f(h) be the first derivative of 8*h**3/3 + 5*h**2/2 - 4*h + 79. Determine f(1). 9 Let h(w) = w + 2. Let c = -303 - -311. Determine h(c). 10 Suppose -12 - 1 = w + 3*g, -5*g - 25 = 0. Let i be (-3)/(w/(12/(-9))). Suppose a - 25 = -3*a + z, 0 = -3*a + i*z + 25. Let l(b) = b**2 - 4*b - 5. Give l(a). 0 Suppose -21*x + 17*x = 4. Let o(z) = 12*z. Give o(x). -12 Let g(x) be the second derivative of -10*x - 1/6*x**3 + 0 - x**2. What is g(-8)? 6 Let a(j) = -4*j + 2. Let r be a(-3). Let u be 5 - 3 - (-10 - -5). Let o(z) = 5*z + 2 + z**3 + 6 + u*z**2 - r. Give o(-6). 0 Let u(o) = -18*o + 16. Let y(w) = w + 3. Let x(a) = -u(a) + 5*y(a). Calculate x(-1). -24 Let o(j) = -4*j**2 + 13*j - 3. Let g(n) = -3*n**2 + 12*n - 2. Let u(i) = 3*g(i) - 2*o(i). Let f = 826 - 818. Give u(f). 16 Let u = 56 - 50. Let v(n) = -n**3 + 5*n**2 + 5*n - 9. What is v(u)? -15 Let m(g) = g**3 + 5*g**2 + 4*g + 5. Let h(w) = 294*w**2 - 8*w + 4 - 293*w**2 + 7. Let x be h(5). Determine m(x). 5 Let r = -101 - -100. Let f(a) = 7*a**2 + a + 1. Calculate f(r). 7 Let j(a) be the third derivative of -a**6/120 - a**5/12 + a**4/24 + 2*a**3/3 + 158*a**2. Determine j(-4). -16 Suppose u + 5 = 22. Suppose 4*h - 4*p = -1 + u, 0 = 2*p. Let b(t) = t**2 + h + 19*t + 0 - 7*t - 4*t. What is b(-6)? -8 Let a(i) = 2*i + 2. Let l be a(12). Let z be l/7 - (-4)/14. Let m(w) = -10*w + 4 - 11*w + 1 + 20*w. Determine m(z). 1 Let v(g) be the second derivative of -g**4/12 + 4*g**3/3 - 4*g**2 + 47*g. Calculate v(7). -1 Let y(v) = -v + 5. Let g(d) = 4*d - 18. Let k be g(7). Let h be (-5)/2*(-16)/k. What is y(h)? 1 Let u be 5*((-32)/(-10))/4. Suppose 8 + 32 = u*n. Let i be ((-44)/(-55))/((-4)/n). Let l(y) = 2*y + 1. Calculate l(i). -3 Let b(a) be the first derivative of a**4/4 + 8*a**3/3 + 5*a**2/2 + 2*a - 36. What is b(-7)? 16 Let o(a) = a**3 + 5*a**2 + a - 5. Let l(m) = -m + 11. Let s be l(9). Let n be s/1*(-17 + 4). Let h = n - -21. Give o(h). -10 Let q be -5*(0/(-1) + -1). Let h(r) = q*r + 3*r**3 + 11 - 3*r - 12. What is h(1)? 4 Suppose 0 = -2*b - 3*i + 18, 0*i - 6 = -2*b + 3*i. Suppose 3*q + b = -0*q. Let j = q - -3. Let h(r) = r**2 - r + 1. Give h(j). 1 Let w be 2/7 + (-6)/21. Suppose 0 = 2*o - w*o - 10. Let d be o - ((-3)/3 + 1). Let g(a) = a**2 - 8*a + 6. Determine g(d). -9 Let h(b) = -4*b - 32. Let n(w) = 2*w + 18. Let y(t) = 3*h(t) + 5*n(t). What is y(8)? -22 Let t(x) = -2*x**2 + 48*x - 44. Let b be t(23). Let g(u) = u**2 + 0 + 0*u - 1 + 5*u**2 - u. Calculate g(b). 21 Let v be (-4 - 32/(-6))*6. Suppose -7*l + 15*l - v = 0. Let f(a) = 6*a**2 + a + 7. Let u(o) = -9*o**2 - o - 10. Let b(h) = 7*f(h) + 5*u(h). Calculate b(l). -2 Let w(l) = l**2 - l - 5. Let q = 178 - 174. Calculate w(q). 7 Let i(p) = p**2 + 5*p + 1. Let a be 0 + 1 - (42 - 35). Calculate i(a). 7 Let p = -93 - -108. Suppose 5*s = p + 35. Let k(x) = x**3 - 10*x**2 - 3. What is k(s)? -3 Let j be (1 + 0)/((-7)/35). Let f(z) = -15*z**2 + 3. Let d(h) be the second derivative of 2*h**4/3 - h**2/2 + 3*h. Let t(r) = j*d(r) - 2*f(r). Give t(-1). -11 Let p(a) = 2*a**3 - 13*a**2 + 4*a - 5. Let j(i) = i**3 - 2*i**2 - i + 1. Let w(d) = 3*j(d) - p(d). Give w(-8). 0 Let o(b) be the first derivative of -b**4/4 - 4*b**3/3 + 4*b**2 + 3*b + 472. Determine o(-5). -12 Let q be 10/5 - 4/1. Let f = q + 5. Let b(m) = f - 4 - 1 + 2*m. What is b(-4)? -10 Let s(j) = -5. Let g(o) = -o**2 - 6*o - 19. Let l(x) = -g(x) + 4*s(x). Determine l(-5). -6 Let c(u) = 15*u**3 - 2*u**2 + 1. Suppose 11*k - 7 + 18 = 0. What is c(k)? -16 Suppose -24 = -f - 32. Let p = f - -12. Let q(h) be the first derivative of -h**4/4 + 5*h**3/3 - 2*h**2 + 5*h + 1.
{ "pile_set_name": "DM Mathematics" }
*o**2 - 8*o + 19. Is k(6) a prime number? True Let j(y) = -5*y**3 - 8*y**2 + 3*y + 3. Let k be j(4). Let w = 140 - k. Is w prime? False Let z = 1163 + -960. Is z a prime number? False Suppose 4*i = 3*a - 92, 5*a + 0*i - 3*i - 168 = 0. Let v = -48 + a. Is v - -15 - 31*-4 a composite number? False Let h = -152 - -152. Suppose 339 = 2*s - 5*n, h = s + 3*n - 182 + 40. Is s a prime number? True Let a = 244 + -155. Is a composite? False Let h be -1 - 1/(-1) - 30. Let i be 315*3/(h/(-16)). Let f = 1061 - i. Is f a prime number? True Suppose 0 = 4*m - 5*b + 23, m + 2*b = -3*m - 2. Let l be (-2)/(-4)*(-28)/m. Suppose -l*d + 11*d - 716 = 0. Is d composite? False Suppose d + 2*d - h = 1765, 1170 = 2*d + h. Is d prime? True Is (7 - 3) + -2 + 7819 + -4 a prime number? True Let q = 18 - 17. Is (-3)/(3/(-97)*q) prime? True Suppose 4*j = -2*y - y + 18, y + j - 5 = 0. Let p = 2 - y. Suppose -307 = -p*v - v. Is v prime? True Suppose 5*m = 1129 + 781. Suppose -m = 4*s - 6*s. Is s a composite number? False Let f be 2/6 + 1140/36. Suppose -3*x - x + f = 0. Is 188 + 12/x*-2 a prime number? False Let n(h) = 41*h**2 - 13*h - 41. Is n(11) a composite number? True Let p(g) = 20*g + 1. Let j(d) = -d + 11. Let y be j(5). Let l be p(y). Suppose -4*r = 4*b - 452, 2*r - l = -b + 5*r. Is b a prime number? False Suppose 9*z - 15398 = 792379. Is z prime? True Let s = -18 - -22. Suppose -3*h + 2*h = 4, -s*v - 44 = 5*h. Let m(q) = 4*q**2 + 4*q - 5. Is m(v) composite? True Let k = -5249 + 9622. Is k a composite number? False Let z = -2 - -12. Suppose -4*m = 5*b + z, 0*m = m. Is 94*(-3 - 7/b) a composite number? False Let j(r) = r**3 + 25*r**2 + 25*r + 27. Let v be j(-24). Suppose -v*t + 6*t - 8283 = 0. Is t a prime number? False Is (-39861)/(-15) + 6/(-15) a prime number? True Let d(r) = 16726*r**2 + 6*r - 3. Is d(1) composite? False Let j be (54/24)/(6/(-176)). Let l = -33 + j. Is (l/6 + 2)*-10 a prime number? False Suppose 3*y - 8 = -y. Let a(b) = 14*b - 6*b**2 + b**2 + 5*b**2 + 27 + 2*b**y. Is a(-15) a prime number? False Suppose 6 = 5*n - 2*n. Suppose -4*k + n*t + 10 = 0, 0*t + t = -k + 7. Suppose -l + 565 = k*l. Is l a prime number? True Let y = 5 - 94. Let w = 388 + y. Is w a composite number? True Let a = 790 + -320. Suppose 0 = -4*n + 38 + a. Is n composite? False Let b(y) = -1129*y - 20. Let o be b(-3). Suppose -4*u + 3375 = -3*j, 2*u + 5*j - o = -2*u. Is u a prime number? False Let i = -26621 + 37800. Is i a composite number? True Let s be (3/7)/((-13)/(-91)). Suppose -4*r + s*r = -102. Is (r/(-12))/(2/(-8)) prime? False Suppose -o = 3*q - 4*q + 16, 0 = -5*q - 5*o + 120. Is ((-634)/6)/(q/(-60)) a composite number? False Let i(z) = -139*z**3 - z**2 + 3*z + 3. Let s be i(-3). Suppose -3*g + 5601 = -r - 2*r, -2*g = -4*r - s. Suppose -5*v + g = -0*v. Is v prime? True Let v(d) = 2*d. Let f be v(-1). Let k(c) = 49*c - 6. Let j(p) = 50*p - 7. Let b(m) = 5*j(m) - 6*k(m). Is b(f) prime? True Suppose 46*z = 37*z + 61227. Is z a composite number? False Suppose 5*x - x - 29858 = 5*y, -3*x + 4*y + 22394 = 0. Is (-7)/(308/8) + x/22 composite? True Let t(j) = 5*j**2 - 11*j + 19. Is t(4) prime? False Let z = -58 + 213. Suppose z - 7 = -2*t. Let r = t + 117. Is r prime? True Suppose 3*a - 2*y - 11 = -y, -4*a + 28 = -4*y. Suppose 0 = -8*z + 3*z + 1710. Suppose i = a*u + z - 113, 4*i + 5*u = 955. Is i prime? False Let g(z) = z**2 - 13*z - 10. Let v be g(14). Suppose -2*n - 69 = -v*p + 65, 0 = 5*p - 2*n - 169. Is p a prime number? False Suppose 4*j - 8 = 4*v, j = 2*j + v - 2. Let l = j - 5. Is 0 - 3 - -43 - l prime? True Suppose 17 = -5*b + 52. Suppose 6 = -5*y + b*y. Is (46/2)/(y - 2) a composite number? False Let o(x) = 6*x - 1. Let p be 210/40 - 1/4. Let g(y) = -11*y + 1. Let i(c) = p*o(c) + 3*g(c). Is i(-7) a composite number? False Suppose -18 = 5*v + 2. Let y be (-2 - -3)/(v/(-12)). Suppose 0 = -5*j + o + 414, -y*j + 2*o + 351 = 104. Is j composite? False Let z = -11 - -16. Suppose -z*i - 2 = -6*i. Suppose 2*o + 0*j - 2712 = 2*j, -3*o + i*j + 4073 = 0. Is o composite? False Suppose -7*j = -133496 - 39355. Is j prime? False Suppose -c + 3 = -2. Let u(y) = 2*y - 4. Let g be u(c). Is (g/6)/((-3)/(-2661)) a prime number? True Let p be 1/(-2)*-108 + 0 + 0. Suppose -3*k - 670 = -7*k - 2*q, -470 = -3*k + 5*q. Suppose -p = 3*b - k. Is b composite? False Suppose 2720 = 53*r - 49*r + 3*y, -680 = -r - 5*y. Suppose 5 = 2*a - 5. Suppose -a*d = -r - 1025. Is d a prime number? False Let y(r) = -504*r - 95. Is y(-37) a composite number? False Let k = -945 + 3532. Is k a composite number? True Suppose -8813 = -3*h + 4*i, 0 = -4*h + 2*i - 1167 + 12921. Is h composite? False Let n(p) = 10*p**2 + 2*p + 5*p**2 + p**3 - 10*p**2 + 11*p**2 - 4. Is n(-15) a prime number? True Let z = -34183 + 72210. Is z composite? True Let j(s) = 5606*s - 57. Is j(4) a prime number? True Suppose -5*c = 0, 2*x = -c - 2 + 16. Suppose -2*h = -x*h + 2665. Is h a composite number? True Is 9 + 516796/105 - 6/(-45) a prime number? True Let w(u) = -u**2 + 11*u + 16. Let r be w(12). Suppose 4*c - r*x + 8 = -8, -4*c + 5*x = 20. Is (741 - -1) + (c - -1) prime? True Suppose 0*f = -2*f + 36. Let a = f - 0. Is 1 + a*(5 - 3) composite? False Let h = 318439 - 203746. Is h composite? True Suppose 0*n + 125360 = 5*n. Is (-4)/(-6) - n/(-48) a prime number? True Let m = 17 + -14. Suppose -x - m*f + 21 = -2*x, 4*x - 3*f + 48 = 0. Let i = 28 + x. Is i a prime number? True Suppose 2*u = -5*o - 11, -3*o = 3*u - o. Suppose u*d + 7 = 305. Is d composite? False Let w(z) be the third derivative of -21/8*z**4 + 0*z + 0 + 2/3*z**3 + 3*z**2. Is w(-7) a prime number? False Suppose 4*x + 3*n = -137, -7*x = -2*x + 2*n + 173. Let k = 1122 + x. Is k composite? False Suppose 0 = 18*q - 22*q + 3*r + 1579, -q - 4*r = -409. Is q a prime number? True Suppose 4*h - 9159 + 2563 = 0. Is h composite? True Suppose 2*f - 17882 = 39104. Is f a prime number? True Let b = 127 - 133. Let r(l) = -8*l**3 - 3*l**2 + 15*l + 13. Is r(b) a composite number? False Let g(c) be the first derivative of -7*c + 2 - 97/2*c**2. Is g(-4) a composite number? True Suppose -4*a - 2*t = -4, -3*t = -2*a - t + 8. Is (102/30)/(a/830) a composite number? True Let m(k) = 133*k**2 - 81*k + 235. Is m(3) prime? False Let n = 11 + 4. Let h be 12 - n/(-10)*2. Suppose -2*c + h = -5*b + 406, -3*c - 389 = -5*b. Is b composite? False Suppose 9*n - 2*n = -14. Is -415*(-4)/25*(-5)/n a prime number? False Let i(x) be the third derivative of -x**4/24 - 3*x**2. Let q be i(-4). Is (10/15)/(q/894) prime? True Let t(j) = 436*j**2 + 24*j + 27. Is t(11) a prime number? True Suppose -j + 6 = 1. Suppose -4*a + 190 = -3*d, 0 = j*a + 3*d - 174 - 50. Let u = 204 - a. Is u a prime number? False Suppose 4*l - 2*l - 16418 = 0. Is l prime? True Let g = -322 - -440. Is g composite? True Let w(t) = -t**3 - 7*t**2 - 4*t + 5. Let h be w(-6). Let r be (-3)/(2 - -4)*58. Is (r/(-1))/((-1)/h) a composite number? True Suppose -8*v + 2*v + 18 = 0. Suppose -7 = 2*k - v. Is ((-2)/2)/(k/254) a composite number? False Let w(f) be the second derivative of f**3/6 - 4*f**2 - 9*f. Let u be w(0). Let t(q) = -q**3 - 9*q**2 - 10*q + 6. Is t(u) a composite number? True Suppose -14*g + 49282 - 6344 = 0. Is g composite? False Let w = -566 - -1577. Is w a composite number? True Let w(o) = -24*o**3 + o**2 + 5*o + 5. Let h(n) = n**3 - 16*n**2 + 14*n + 13. Let z be h(15). Is w(z) a prime number? True Let g be 21/14 + 153/(-2). Let u = g - -208. Is u prime? False Suppose 0 = -3*z - 2*z + 10. Let f be 3 + 0 + -15 - z. Is (80 - f)/((-2)/(-13)) a prime number? False Suppose -6 = -7*o + 4*o. Suppose -3*y + 5*c + 235 = 2*y, -5*y + 235 = -o*c. Suppose -3*a - 3*l + y = -a, 4*l + 4 = 0. Is a a composite number? True Suppose 23*s = 5438 + 35111. Is s a composite number? True Let p = 1975 + -1369. Let o be (4 - 1) + -218 + 6. Let x = p + o. Is x prime? True Let s(k) = k**3 + 10*k**2 + 10*k + 12. Let q be s(-9). Suppose -q*o - n + 176 = -2*o, 182 = o - n. Is o a prime number? True Let b be (1 + 16/4)*1. Suppose -5*y = -b - 50. Suppose -y*w = -12*w + 19. Is w prime? True Suppose 3*m - 5*m = 976. Let d = -231 - m. Is d prime? True Suppose 4*i - 32 = 4*u + 12, 5*i = 3*u + 23. Let m be 4/u + (-893)/(-4). Let t = m - 149. Is t a composite number? True Suppose 3*p
{ "pile_set_name": "DM Mathematics" }
)*c))**(-2/25) assuming c is positive. c**(73253/950) Simplify (((f*f**(2/7))/f**14)/(f/(f/(f/f**(-6)*f)))**23)**(-43/2) assuming f is positive. f**(59211/14) Simplify (f**13/(f**(-10)/f))**(5/2)*(f/(f/((f/f**(-1/14))/f))*f/((f*(f/(f**(-5)/f*f))/f)/f))/((f/(f*f/(f*f**(3/8)*f)))/(f*f**1)) assuming f is positive. f**(3175/56) Simplify (i**(-11)*i*i**27*(i/(i**36*i))/(i**(-3/14)/i))**1 assuming i is positive. i**(-249/14) Simplify (((p**(-5)/p)/(p*p/p**11))/((p*p/p**(-5))/(p*p**(-13)/p)))**(3/17) assuming p is positive. p**(-3) Simplify (o*o*o/o**(-2)*o*o**5)**(14/5)*(o**1*o*o)**(2/135)/((((o*o*o/((o*o**0)/o*o))/o)/o)/o*o*o/(o/(o**(-4/5)/o*o*o))) assuming o is positive. o**(1379/45) Simplify ((h/(h*h/((h/(h/(h*h*h**(-1)*h*h)))/h*h)*h*h))/(h**(4/3)/h)*(((h*h*h**(-3/4))/h)/h)/(h*h**(-1/2)))/(h**(-1)/h**(3/5))**(-48) assuming h is positive. h**(-4703/60) Simplify (u**(3/14)/u**22*u**43*u*(u/u**(-6/7))/u*u*u)**(-8/11) assuming u is positive. u**(-1404/77) Simplify ((d**(-2/15)/d*d**4)/(d**(2/3))**(-1/7))/((d*d**(-1/2)*d*d*d*d*(d/((d/(d**(2/15)/d))/d))/d)/(d**(7/2)/(d*d*d/d**(-4)))) assuming d is positive. d**(-146/35) Simplify (m/m**(-7/5)*m*m/(m**(1/3)*m)*m/(m/(m**6/m*m))*m*m**(5/7))/((m/m**(-5)*(m/(m**(-3)/m))/m)/(m**(-2))**(-24)) assuming m is positive. m**(5122/105) Simplify ((b/(b*b/(b/b**(4/15)))*(b*b/(b/((b*b**(-2/7))/b)))/b)/((b*b/(b/((b/b**(1/27)*b)/b))*b*b)/((b*b**(-4))/b*b)))**(-1/32) assuming b is positive. b**(3551/15120) Simplify ((h**(3/4)*h**(-3))/(h/h**(-1)*h**(1/2)))/((h/h**(-1/5))/h**4*h**(-6)*((h/(h/(h*h*h*h**(1/3))*h))/h)/h) assuming h is positive. h**(223/60) Simplify ((((w/(w**0*w)*w)/w)/w)/(w/((w/w**(5/2))/w*w))*(w**(-2/19)/w)/(w/((w/(w*w*w**(-18)*w))/w)*w))**(1/21) assuming w is positive. w**(319/798) Simplify (((((((t**(-4)/t)/t)/t)/t)/(t/((t/(t**(-14)*t))/t)))**37)**(-36))**(14/9) assuming t is positive. t**(-8288) Simplify ((((l/(l/l**(-5)))/(l*l/(((l**(2/23)/l*l*l)/l)/l*l*l)))/((l*l*l*l/l**(-2/13))/((l/((l/l**(-3/5))/l))/l*l)))**(9/8))**(1/23) assuming l is positive. l**(-32517/68770) Simplify ((g*g**(4/7))**(-2/29)*(g**6)**(-4/7))**(-8/13) assuming g is positive. g**(5744/2639) Simplify ((d*(d**(-22/9)*d)/d)/d*d/(d*d*d**(-3/5))*d*d*d**(-19)/(d*d/(d/(d*d**(-2/15)*d*d*d*d))*d))**(-10) assuming d is positive. d**(2404/9) Simplify (g**(2/13)*g)/g*g*g*(g*g**(-2/69))/g*(g*g**(-2/51)*g)/(g/(g*g**(-1/5)*g)*g) assuming g is positive. g**(296261/76245) Simplify (l*l/(((l/(l**8*l))/l)/l*l)*l*l**(-1/42)*(l/(l/l**(2/17)))/l**(-2/51))**(-2/37) assuming l is positive. l**(-8663/13209) Simplify ((o**(-2)/o)**47)**36*(o/(o/(o**(1/3)/o)))/o**(-1)*o**4*o**7 assuming o is positive. o**(-15194/3) Simplify (f*f/(f**10/f)*f*f**(-13))**(2/3)/(f**(2/7)/(f*f**(-1))*f/(f**(-2/5)/f)*f/((f**6*f)/f)) assuming f is positive. f**(-1087/105) Simplify (((b**(-7/3)/b)/b)/(b*b/((b*b**(-2/9)/b)/b))*(b/b**9*b)/(b*b**(2/57)*b))**(5/7) assuming b is positive. b**(-14185/1197) Simplify (k**27/((k/k**(-2/9))/k)*(k/k**(-12))**(-12/11))**(1/64) assuming k is positive. k**(1247/6336) Simplify (b**(-1))**(1/20)/(b**5/(b/(b**(1/9)/b)))*(b**(-2/5)*b/b**4)/(b*(b/b**(2/5))/b)**6 assuming b is positive. b**(-1829/180) Simplify ((f/(f/f**(-1)))**(-11))**(-8/7)/(((f*f**1/f)/f)**(-9)*((((f**(1/3)/f)/f)/f)/f)/((f*f*f*f*f**2/f*f*f)/f)) assuming f is positive. f**(-61/21) Simplify (k/k**(2/5)*(k*k*k**2)/k)**(-45)/((k**(1/10)*k**0)/(k**(-1))**(-2/85)) assuming k is positive. k**(-27553/170) Simplify (((s**(-32)/s*s)/(s**(1/7)*s))**(-9/5))**25 assuming s is positive. s**(10440/7) Simplify (((m/m**(-1/2))/m)**49)**(-10)*(m**(-1/5)*m/(m**(1/10)/m))/(m**(4/9)/(m*m**(-4/9)*m)) assuming m is positive. m**(-21797/90) Simplify (m**(-4)*m/(m*m/m**(-8)*m*m)*m)**19*((m/m**7)/m*m*m*m**(-1/10))/((m/(m*m**(-1/2)*m*m))/m*m)**(-22) assuming m is positive. m**(-3041/10) Simplify ((b*b**(36/7))/b)/b**(1/49)*b**4*b*b**(-15) assuming b is positive. b**(-239/49) Simplify (l*l**(5/3)/l*l/(l*l*l**(-2/13)/l*l*l))/(l**5/l**(1/4))*(l**(-2))**(-2/9)*l**(-9)/(l*l**1) assuming l is positive. l**(-7247/468) Simplify (g**(-8)/g**(-1/64))/(g**29*g*g/(g/((g/(g*g**(-18)))/g)*g)) assuming g is positive. g**(-3455/64) Simplify ((i**0/i**9*i**(1/2)*i**(7/2))**3)**(5/9) assuming i is positive. i**(-25/3) Simplify ((h**13)**(2/41)/(h**17/h**17))**(-1/8) assuming h is positive. h**(-13/164) Simplify (p/p**(1/8)*p*p*p*p/(p**(-6/13)*p*p))/((p/((p**(-4/9)/p)/p))/p**(2/9))*((p*(p**(1/2)/p)/p)/(p/p**(-6)))**(-2/11) assuming p is positive. p**(15217/10296) Simplify (((x/(x**(-3)/x))/x**(-4/7)*x**(-3)*(x*x/x**(2/15)*x)/x*x)**(2/35))**(-30) assuming x is positive. x**(-2284/245) Simplify (((v/v**0)**(6/17)/(v**(-1/4))**(-2/105))**(-18))**44 assuming v is positive. v**(-164076/595) Simplify (q**(-2/5)*q*q**(-2/19))**(-2/33)*(((q/q**4*q)/q)**(-3/5))**47 assuming q is positive. q**(265127/3135) Simplify ((k**(-1/8)/k)/k**(-1/18)*(k**(-1)*k)**8)**(-37) assuming k is positive. k**(2849/72) Simplify (((j**(-2/9)*j**(-7)*j*j)/((j*j/j**(-1)*j)/j*j)**(-17/2))**20)**(-7/5) assuming j is positive. j**(-7252/9) Simplify ((a*a**(3/8))/a**5)**(-7/11)/(a*a/(a*a**(2/9))*a/a**(-2/15)*(a*a/a**(2/7))/((a*(a/a**(-2/3))/a)/a)) assuming a is positive. a**(-18071/27720) Simplify (((s*s*(s/((s**(-1/23)/s)/s))/s)/((s**(-2/7)*s)/s))/(s**32*s*s**(-2/3)))**9 assuming s is positive. s**(-40578/161) Simplify ((c/((c/(c*c**(-2/3)))/c))/c**(-3/7))**(-2/31)*(c/(c*c**(1/3)*c)*c*c**(2/9)/c*c)/((c*(c**(-2/9)/c)/c)/c*c*c*(c**5/c*c*c)/c) assuming c is positive. c**(-9770/1953) Simplify u**6*u/u**(3/4)*(u*u/u**7)/u*u**1*(u*u**5*u**(-2/5))/(u**(2/7)/(u**(-1/3)/u)) assuming u is positive. u**(2197/420) Simplify ((q*(q/q**5*q)/q*q**(2/17))/(q**(-3)*(q**3/q)/q*q*q))/((q/(q/(((q*(q*q/(q/q**(-1)))/q)/q)/q)))**(-46))**(23/3) assuming q is positive. q**(-36119/51) Simplify (((c/c**0)**(1/5)*(c**(-1/3))**(-2/15))**2)**(-18) assuming c is positive. c**(-44/5) Simplify (z**11*z*(z*z**4*z)/z)**(21/2)*(z**(-2/5)/z)**(12/7)/(z/(z/((z*z**1)/z)*z*z*z))**(-2/43) assuming z is positive. z**(75683/430) Simplify (n**(1/5)/((n/(n/(n/n**1)))/n))**17/((n**(-2/3))**(2/9)/((n**(2/7)/n*n)/n**(2/3))) assuming n is positive. n**(19058/945) Simplify (((b*b**(2/15))/((b**(-1/9)/b)/b)*b**(-7)*b**(-4/7))**(1/7))**(-2/9) assuming b is positive. b**(2726/19845) Simplify ((((j*((j*j/j**31)/j)/j)/(j*j/(j*((j/(j/j**(-3/11)*j))/j)/j*j)))**0)**44)**(1/15) assuming j is positive. 1 Simplify ((d*d*d**1)**8*d**(-4)*d**(-1/5))/((d*d**(-1))**31)**23 assuming d is positive. d**(99/5) Simplify ((h**2*h**(1/3))/((((h**(-4)*h)/h)/h)/((h/h**(-1))/h)))/((((h/(h/h**(-6)*h))/h)/h**(3/7))/(h/h**(-1/3))**39) assuming h is positive. h**(1444/21) Simplify ((h*(h/(h*(h/((h*h**(-1/63)*h)/h))/h)*h)/h*h)**(-1/27)*(h/(h*h**13))/(h/h**31))**(-4/39) assuming h is positive. h**(-114916/66339) Simplify ((s**11)**(-18)*s**(2/3)/s**6)**(2/53) assuming s is positive. s**(-1220/159) Simplify a/(a*a**0/a*a)*a/(a*a**(2/33))*(a**(4/9)*a*a)/(a*a**(-24)*a) assuming a is positive. a**(2414/99) Simplify l/l**4*l**(4/7)/l*l**(-1/6)/l**1*((l/((l*l**(-2)*l)/l*l))/l**(-3))**(1/4) assuming l is positive. l**(-151/42) Simplify (h**(1/4)*h**(-4/9)/h*h*h)**(-8/13)/((h/(h*((h/h**2*h)/h)/h)*h*h)/h**(-1/4)*(h**(1/4))**(5/3)) assuming h is positive. h**(-604/117) Simplify (z*z**(2/7))**(2/57)*z/z**(-7)*z/z**(-8)*z*((z/z**(2/9)*z)/z**(4/3))**13 assuming z is positive. z**(28516/1197) Simplify (u**(-1)/u)/(u*u**(-1/2))*u*u*u**7/u*u*(u*u**(7/5))/u*((u*u*u**(-4)*u)**(7/5))**(1/12) assuming u is positive. u**(467/60) Simplify (i**(-5)/i*i*i**5)**(-2/27)*((i*i/(i/((i*(i**(-2/3)/i)/i*i)/i)))/i)**(-19/5)*(i**(-1))**25 assuming i is positive. i**(-56/3) Simplify (f*f**(2/57))**10*f*f**(-4/3)*f*f**(4/7)/f assuming f is positive. f**(4225/399) Simplify (v**19*(v*v**21)/v)/(v**(12/11)*v/v**(1/9)) assuming v is positive. v**(3764/99) Simplify ((p*(p*p**(-2/77)*p*p*p)/p*p*p**(32/7))**(-21))**(-8/9) assuming p is positive. p**(1960/11) Simplify (i**(1/27)/i*i/i**(7/6))**16/((i/i**(-1))/(i/i**(-13)*i))**31 assuming i is positive. i**(10393/27) Simplify (n**(-1/7)*((n*n**(-3/8))/n)/n)**(-50)/((n**(-7)*(n*(n/(n**(1/6)*n))/n*n)/n*n)/(n**1)**(-21)) assuming n is positive. n**(5129/84) Simplify (((a*a*((a**24/a)/a*a)/a*a)/(a*a**(-29)))**(10/9))**(15/7) assuming a i
{ "pile_set_name": "DM Mathematics" }
s 10 + -111111? -111101 In base 15, what is 1b6 + 5? 1bb In base 6, what is 4 - 221? -213 In base 15, what is -193 - 1b? -1ae In base 10, what is -126 - -3? -123 In base 3, what is 1 - 210? -202 In base 7, what is -445 + -52? -530 In base 8, what is 27531 + -4? 27525 In base 14, what is 4 - -6a3? 6a7 In base 3, what is 200012 - 2? 200010 In base 12, what is 37 + -3? 34 In base 14, what is -3d - -17? -26 In base 10, what is -806 + 2? -804 In base 8, what is 11 - 7? 2 In base 9, what is -103 - 57? -161 In base 11, what is 9 - -22? 30 In base 12, what is -34 + -5? -39 In base 10, what is 6 - 229? -223 In base 13, what is 9 + -61? -55 In base 16, what is -1 - 43? -44 In base 3, what is -20021 + 12? -20002 In base 3, what is 2011 - -20? 2101 In base 3, what is 212101 - -11? 212112 In base 16, what is -bf + -1? -c0 In base 5, what is -30003 - 2? -30010 In base 12, what is -a - -24? 16 In base 3, what is 1121 - 2? 1112 In base 13, what is 2 + -3a1? -39c In base 9, what is -5 - -71? 65 In base 11, what is 29a3 + -2? 29a1 In base 2, what is -101 - -1101100010? 1101011101 In base 11, what is 5 - 27aa? -27a5 In base 4, what is -2001 - -30? -1311 In base 14, what is -90 + 4? -8a In base 6, what is 4 - 43? -35 In base 12, what is 171 - -5? 176 In base 14, what is -3370 + 1? -336d In base 9, what is -1 + -574? -575 In base 8, what is 23 + -50? -25 In base 15, what is -e - 0? -e In base 7, what is 26 + -20? 6 In base 12, what is -8a - 5b? -129 In base 13, what is 2 + 813? 815 In base 5, what is 12240 - 0? 12240 In base 6, what is 215153 - 2? 215151 In base 14, what is b8 - -3? bb In base 7, what is -53 + 10? -43 In base 10, what is 23 - -33? 56 In base 5, what is -1222 + -12? -1234 In base 5, what is -10 - -303? 243 In base 14, what is -3 + -390? -393 In base 16, what is -27 - 8? -2f In base 6, what is -1 + -123? -124 In base 6, what is 32 + -2? 30 In base 11, what is -1522 - 0? -1522 In base 4, what is -13 + 2? -11 In base 15, what is -21 - 1a0? -1c1 In base 6, what is -54 - -44? -10 In base 3, what is 121012 - -10? 121022 In base 2, what is -110010010010 + -100? -110010010110 In base 15, what is 40 - 0? 40 In base 4, what is -11 - 123313? -123330 In base 4, what is -2 + 1231? 1223 In base 7, what is 16353 + 0? 16353 In base 9, what is 6 - -15? 22 In base 16, what is 5 - -2eb? 2f0 In base 12, what is 5 - 554? -54b In base 9, what is -32 + -25? -57 In base 8, what is -4 + 171? 165 In base 6, what is 2415 + -10? 2405 In base 4, what is -2 - 1010300? -1010302 In base 4, what is -110 - -11000? 10230 In base 9, what is -4 + 1867? 1863 In base 5, what is -4 - 32322? -32331 In base 2, what is 10111 - -10001? 101000 In base 4, what is 2 - -200120? 200122 In base 5, what is 2 + 20412? 20414 In base 2, what is -10011110100 - 101? -10011111001 In base 7, what is -26043 + 0? -26043 In base 16, what is -9 - 6? -f In base 3, what is -1101021002 - 0? -1101021002 In base 14, what is -c9 + -4? -cd In base 11, what is 1 - 30? -2a In base 10, what is -13 - 850? -863 In base 5, what is 124 + -202? -23 In base 13, what is 1 - -c8b? c8c In base 11, what is 294 + 72? 356 In base 6, what is -2 + -4325? -4331 In base 14, what is 6 + c? 14 In base 8, what is -4 - 10? -14 In base 9, what is -3 - 56? -60 In base 4, what is -1 - 120? -121 In base 10, what is 55 - -21? 76 In base 14, what is 139 + 56? 191 In base 4, what is -123023 - 10? -123033 In base 16, what is -6d1 + -4? -6d5 In base 13, what is 607 - -9? 613 In base 12, what is -4 + 62? 5a In base 10, what is 515 - 22? 493 In base 10, what is 0 + 150? 150 In base 13, what is b2 - -1? b3 In base 8, what is 0 - 342? -342 In base 11, what is -1 + 249? 248 In base 5, what is -21 - 24140? -24211 In base 15, what is -1 + 2ab4? 2ab3 In base 15, what is 1 - 11? -10 In base 11, what is -27 + -3? -2a In base 14, what is -10 - 3? -13 In base 7, what is -44 + -1? -45 In base 6, what is -45214 + -1? -45215 In base 8, what is -166 + -2? -170 In base 16, what is 4e + 2? 50 In base 8, what is 114 - 25? 67 In base 9, what is -2 + 52? 50 In base 6, what is 1 - -3333? 3334 In base 2, what is 100 + 1110? 10010 In base 5, what is 30 - -20? 100 In base 16, what is b35 - 11? b24 In base 6, what is 243 - -3? 250 In base 11, what is -6 + -614? -61a In base 5, what is -2 - -1103? 1101 In base 9, what is -587 - -5? -582 In base 7, what is 15 - 54? -36 In base 7, what is 4 + -16? -12 In base 8, what is 166 + -14? 152 In base 2, what is -100 - 101100? -110000 In base 7, what is -3604 - -4? -3600 In base 16, what is -3 + 2a6? 2a3 In base 13, what is 35 - 1b? 17 In base 11, what is 192 - -10? 1a2 In base 7, what is 421 - -2? 423 In base 2, what is 10111011111 - 10? 10111011101 In base 15, what is -1 - 670? -671 In base 16, what is -1e + -23? -41 In base 12, what is 0 - -62? 62 In base 9, what is 0 + 3732? 3732 In base 7, what is -11452 + -2? -11454 In base 3, what is -100 + 120121? 120021 In base 5, what is 213 - -4? 222 In base 8, what is -14 - -13? -1 In base 14, what is -9 + -292? -29b In base 15, what is 159 - 89? c0 In base 7, what is 531 + -2? 526 In base 12, what is -12aa1 - -1? -12aa0 In base 4, what is 30 - -233? 323 In base 5, what is -21400 - 4? -21404 In base 9, what is -3 - -175? 172 In base 7, what is 106 + 62? 201 In base 14, what is 461 + 4? 465 In base 2, what is 10101010000 + -11? 10101001101 In base 8, what is -2610 + -3? -2613 In base 4, what is -1200330 - -10? -1200320 In base 4, what is 23 - -112? 201 In base 12, what is 49 - -55? a2 In base 15, what is -133 + -2? -135 In base 13, what is 1 + -14? -13 In base 9, what is 5 - -3? 8 In base 6, what is 33 + -124? -51 In base 3, what is 2 + -2? 0 In base 16, what is 6 - -16? 1c In base 5, what is 43 + -14? 24 In base 16, what is -1d - -102? e5 In base 3, what is -20 - 20022? -20112 In base 10, what is 5 + 1287? 1292 In base 6, what is -132 + 31? -101 In base 14, what is -d5 - -4? -d1 In base 15, what is 1 - -103? 104 In base 7, what is 2650 + 0? 2650 In base 2, what is 101111101011 - -11? 101111101110 In base 3, what is 202210011 + 2? 202210020 In base 12, what is -5 - 5ba? -603 In base 12, what is 3 - 80? -79 In base 9, what is 206 + 3? 210 In base 8, what is -1 - 263? -264 In base 3, what is -2 - -22111? 22102 In base 8, what is 21 + -7? 12 In base 7, what is 3 + 252? 255 In base 6, what is 422 - 2? 420 In base 16, what is -8 + -5? -d In base 13, what is 9 - -23? 2c In base 2, what is -111000110 - -10? -111000100 In base 14, what is -a + 9? -1 In base 16, what is -1 + 25? 24 In base 4, what is 121313 + 10? 121323 In base 8, what is -3 - 2? -5 In base 9, what is -1 + -303? -304 In base 11, what is 27 + -a? 18 In base 12, what is 1b7 - -5? 200 In base 6, what is -53 - 1? -54 In base 3, what is 20 - -1220? 2010 In base 12, what is -3313 - 0? -3313 In base 12, what is -25 - -27? 2 In base 5, what is 4 + 1114? 1123 In base 5, what is 1104 + -131? 423 In base 11, what is -10 + 277? 267 In base 12, what is -177a3 - 0? -177a3 In base 8, what is 442 - -40? 502 In base 15, what is -63 + ab? 48 In base 7, what is 0 - 143? -143 In base 5, what is -2 + 1? -1 In base 8, what is -27 + -515? -544 In base 12, what is b - -b? 1a In base 3, what is 100 - 10100? -10000 In base 5, what is -1 + -1221? -1222 In base 9, what is -62 - -18? -43 In base 3, what is -120221 + 10? -120211 In base 5, what is 1 + 233? 234 In base 5, what is -3 - -2433? 2430 In base 6, what is 5 + 30? 35 In base 9, what is -671 + -21? -702 In base 13, what is 3 - 37? -34 In base 4, what is -331 + -11? -1002 In base 7, what is -2 - -255? 253 In base 3, what is 0 + -2000? -2000 In base 12, what is -3 - a9? -b0 In base 12, what is 6 - -500? 506 In base 10, what is -44 + -6? -50 In base 6, what is -2340 + 1? -2335 In base 2, what is -1001001 - 1? -1001010 In base 15, what is 922 + -5? 91c In base 12, what is 5 - 78? -73 In base 3, what is -100 - -10012? 2212 In base 15, what is 1 - -6a8? 6a9 In base 3, what is -10022 + -2? -10101 In base 13, what is c + 60? 6c In base 6, what is -1 - -22? 21 In base 2, what is -1100001100000 + -101? -1100001100101 In base 11, what is -53 - 71? -114 In base 5, what is -2222 - -2? -2220 In base 8, what is 21647 + -2? 21645 In base 8, what is 300 - -1? 301 In base 14, what is 4 - -561? 565 In base 10, what is
{ "pile_set_name": "DM Mathematics" }
the nearest to m in 5/3, h, -2/5? -2/5 Let t = -39.8 - -9.8. Which is the nearest to -1? (a) 1/2 (b) t (c) 1 a Let k be -65 - (-1)/(1 + 0). Let q = 257/4 + k. What is the closest to -1 in 0, q, 0.4? 0 Let g = 9 + -6. Let r = 1 - 0. Suppose l + r = -1. Which is the closest to -1? (a) g (b) l (c) 1 b Let j = -108.59 + 108. Let f = -0.09 - j. What is the nearest to 1 in f, -3/5, -2/9? f Let h = 2/1027 - -3067/7189. What is the closest to 0.5 in h, -2, -0.2? h Let d = -24.11 - -24. Let o = d + 0.01. Let z = -305/6 + 51. Which is the closest to z? (a) -2 (b) o (c) 1/4 c Let d = 4.7 + -3.7. Which is the closest to 1/3? (a) 5 (b) d (c) 1/8 c Let y = -7.93 - -8. Let o = 0.14 - 0.07. Let n = o - y. What is the closest to n in 0.3, 2/3, -5? 0.3 Let n = -4 - -3.9. Which is the nearest to n? (a) 4 (b) 19 (c) 5 a Let l = 196 + -201. What is the nearest to l in 0.4, 1/7, 1/4? 1/7 Let r = 107/5 - 303/20. Let s = 6 - r. What is the nearest to -0.1 in -0.2, s, -5? -0.2 Let p = 2.8 + -3.08. Let f = -1.72 + p. What is the closest to 0.1 in f, 5, 0.3? 0.3 Suppose 2*s = -10 - 2. Let d be s/27 + 43/(-9). Let x(i) = i + 4. Let z be x(d). What is the nearest to z in -0.3, 4, 3/2? -0.3 Suppose -4*a - 5*l = -4, l + 2*l = -4*a + 4. Let w(y) = y**3 - 7*y**2 - y + 9. Let z be w(7). Let i = -12 - -11.9. What is the nearest to i in 1/3, z, a? 1/3 Let n be -3 - (-5 - (-1)/(-1)). What is the closest to n in -0.1, -1/2, -5? -0.1 Let j = 4 - 9. Let h = 2 - 5. Which is the closest to -1? (a) j (b) -2/15 (c) h b Let z(s) = -2*s + 36. Let a be z(17). What is the nearest to -0.1 in 1/7, a, -2? 1/7 Let o = -0.5 - 0.5. What is the nearest to 2 in 1, o, -1/6? 1 Let n = 0.04 - 3.04. Suppose 2*w - 10 = -4*l, w - 3*l + 7*l = 9. Suppose -2*g + 3 = -w. What is the closest to 0 in -0.3, g, n? -0.3 Suppose 7*z - 9 = 4*z. Suppose 2*g - 2 = z*g. Let f = -1 - -1. What is the nearest to -2 in f, g, -5? g Let k = -36 - -38.7. Let i = k + -1.7. Which is the closest to 2/7? (a) 4 (b) i (c) 5 b Let f = -5.77 - 0.13. Let b = 6 + -12. Let u = b - f. What is the nearest to u in -2/9, -2/7, 2/5? -2/9 Let h = -1/22 + 51/154. Suppose -u - 4*u + 20 = -4*o, -25 = 4*u + 5*o. Let r be (u - -2)/((-36)/6). Which is the nearest to r? (a) -5 (b) 4 (c) h c Let y be (-18)/66*4/(-6). Let r be 5/(-20) + 11/12. Which is the closest to r? (a) 3 (b) y (c) -4 b Let z = 3.3 + -3. Let q = 0.3 - z. Suppose -5*f = -5*u - 0*f + 15, 6 = 2*u - f. Which is the nearest to q? (a) -0.1 (b) u (c) -1/3 a Let l = 3/23 - 38/115. Suppose 2*d + 5*g - 21 = 0, -5*g + 22 - 7 = 0. Which is the nearest to 1/3? (a) 1 (b) d (c) l c Let i be (3 - -2) + (-232)/48. Let g = -109/3 + 37. Which is the nearest to g? (a) 2/3 (b) i (c) -3 a Let h = 1.5 + -1. Let x = 21 + -21.4. Which is the nearest to 0? (a) x (b) 0.2 (c) h b Let p = 9 + -10. Let f = 40 + -122/3. Let n = 5.3 + -0.3. Which is the nearest to 2/3? (a) p (b) n (c) f c Let f(q) = -q**3 + q**2 + q - 2. Let u be f(1). What is the closest to 3 in -2, -2/7, u? -2/7 Let f = -1.07 - -0.77. Let d = 1 + -2. What is the nearest to d in 2, 0.3, f? f Let n be 0/11*1/1. What is the closest to n in 1/4, 0.5, 13? 1/4 Let q = 5.2 + -5.3. Which is the nearest to q? (a) -0.5 (b) -4 (c) 3 a Let n = -23 - -163/7. Let i = 4 - 6. Which is the closest to n? (a) -4 (b) -0.4 (c) i b Let k be (-11)/30 + (-2)/15. What is the closest to 0 in 5, -0.3, k? -0.3 Let k = 97 - 777/8. Let w = -0.3 - -0.3. Which is the closest to 0? (a) k (b) 1 (c) w c Let h be (-20)/(-35) + 50/(-14). What is the closest to -1 in -0.4, -0.5, h? -0.5 Let p = 23 + -10. Let w = p + -18. Let q be (2 - 1)/(1 + 0). Which is the closest to -0.1? (a) w (b) 3 (c) q c Let q = 1 + -1. Let h = -40/3 - -13. Let l = -79 + 1503/19. Which is the nearest to q? (a) 2/3 (b) l (c) h b Let m = -3 - -6. Let h be (6/9)/(18/(-135)). What is the closest to 1/2 in 0.2, h, m? 0.2 Let h = 1 - 1.1. Suppose 65*z = 66*z - 1. Which is the closest to h? (a) z (b) 0.1 (c) -1 b Let x = 0.052 + 0.148. What is the closest to -2/3 in -0.1, x, -1? -1 Let o(g) = -g + 7. Let f be o(9). Suppose 5*d = -2 - 23. Let v be (6/10)/((-1)/d). What is the closest to 1 in f, v, 2? 2 Let y = -1.4 + 6.4. What is the closest to -2/5 in -4, y, -0.3? -0.3 Let y = 0.174 + -0.174. Let l(i) be the first derivative of i**2/2 - 7*i - 2. Let x be l(6). Which is the closest to y? (a) -0.1 (b) x (c) 0 c Let d = -2.1 + 6.1. Which is the nearest to -1? (a) -2/3 (b) 1 (c) d a Let v = -6/23 + 64/69. Let f = 4.9 + -5. What is the nearest to f in -1, 0.2, v? 0.2 Suppose -30 = 3*o + 3*s, -57 = 3*o + 5*s - 17. Let g be (((-2)/(-3))/2)/(-1). What is the closest to 4 in 2, g, o? 2 Let z = 1 - 1. Let k = -0.11 - -0.01. Which is the nearest to k? (a) -5 (b) 0.2 (c) z c Let q = -29 - -23. Let o = -9 - q. Which is the closest to 0.2? (a) 3 (b) 0.1 (c) o b Let i = -17.4 - -13. Let h = -0.9 + 1.5. Let a = h - i. What is the closest to -1/4 in 0, a, -0.2? -0.2 Suppose -u - 48 = -15. Let z be (-5)/u + (-4)/(-22). What is the nearest to -3/4 in -5, z, 0? 0 Let w = 17 + -5. Let f be (1*w)/4 + -7. Which is the nearest to 2? (a) 2/5 (b) 0.3 (c) f a Let q = 71 - 71. What is the nearest to q in 2/13, -37, 1? 2/13 Let m be ((-3)/(-81))/(5 - 116/24). What is the nearest to 1 in -0.4, m, 2/37? m Let x = -5 + 6. What is the closest to x in -0.1, -1, 0? 0 Let g = -0.8 + 1. Suppose -3 + 6 = 3*z. Let m be -2 - -2 - z/(-4). Which is the closest to m? (a) 2 (b) -4/5 (c) g c Suppose 0 = -4*m - 4 - 12, 5*m + 18 = -2*x. Suppose -w - 3*n - 6 = -21, 0 = 4*w + 2*n - 10. Let z = 4 + -7. What is the closest to w in z, -4, x? x Let u = 0.184 - -0.016. Which is the closest to 0.1? (a) -1/8 (b) u (c) -5 b Let t = -0.3 - -0.1. Let l = -10 - -13. Suppose 5*v = l*k - 7 - 12, v + 9 = -2*k. Which is the closest to 0.1? (a) 1/6 (b) k (c) t a Let b = 1 + 0. Let x = 14.3 + -15. Let m = x + -0.3. What is the closest to b in m, 0, 3/2? 3/2 Let n = 1.96 + -2. Let q = 3.06 - 3. Let s = q - n. Which is the closest to 1/3? (a) -3/5 (b) -5 (c) s c Let k(x) = -7*x**3 - 1. Let t be k(1). Let n be ((-3)/21)/((-4)/t). What is the closest to -0.1 in 4, n, 0.5? n Let h = 16.85 + -17. Which is the nearest to h? (a) -1 (b) 2/3 (c) -3 b Let m = 1.3 + -1.2. Which is the nearest to -2? (a) 4 (b) 0 (c) m b Let o = 27/110 + -1/22. Suppose -k - 14 = -3*k - 3*f, -3*k + f = -10. Which is the closest to o? (a) 5 (b) k (c) -0.1 c Let r = 0 + 3. Let q = 0 - r. Let o = 0.2 - 0.2. Which is the nearest to o? (a) 5 (b) -4 (c) q c Let k = 7.89 - 7.9. Which is the closest to 0.3? (a) 0 (b) k (c) -2/7 a Let x = 1/3 + 1/6. What is the nearest to -0.1 in 1/5, x, 5? 1/5 Let g be (-1 - 0)/((-16)/(-48)). Let f be -3 + g/(-12)*13. What is the closest to 4 in -1, f, -5? f Let a = -3.1 - -1.8. Let y = 0.3 + a. What is the nearest to y in 3, 2/3, 0.4? 0.4 Suppose -26*w - 53 + 27 = 0. Let d(u) = -u**2 + 5*u - 6. Let p be d(5). Let y be 3/10*2/p. Which is the nearest to 1? (a) 4 (b) w (c) y c Let a be (2 - -2) + (-11 - 5). Let t be 16/a + (-12)/(-9). What is the closest to t in -2, -1/3, 3? -1/3 Suppose 4*r = -5 - 11. Let m be (1 + -4)*r/30. What is the closest to m in -0.4, -2, 3? -0.4 Let v = -88.5 + 89. Which is the closest to 0.02? (a) v (b) -1 (c) -3 a Let v = 16 - 6. Let j = v + -9.7. Which is the closest to 0? (a) j (b) 1/7 (c) 0 c Let u = -4.7 - -7.7. Suppose 0 = -2*s - 5 - 3. Which is the nearest to -3? (a) u (b) 4 (c) s c Suppose -17 = 5*u - h, -4*u + 2*u + 2*h - 2 = 0. Let n = -0.2 - -0.6. Let c = 0.8 + -0.6. What is the closest to 0.1 in c, n, u? c Let n = 0.6 - 3.6. Let x be (2/(-9))/(9/108*8). Which is the nearest to -0.1? (a) n (b) 0.3 (c) x c Let s = 2 - 1. What is the closest to -0.1 in s, -2, 3? s Suppose 4 = 5*j - 16. Suppose 7 = -j*h - 5. Let q = 0.434 - 0.234. Which is the closest to -1/2? (a) h (b) 2/11 (c) q b Let q = 1 - 0. Let z be (1 - 2)*(-1 + 0). Let x = -1.1 - -0.1. Which is the closest to z? (a) q (b) x (c) 5 a Let r = -0.3 + -4.7. Which is the closest to 0? (a) -0.1 (b) r (c) 1 a Let y be 4/(-14) + -3 + 3. Let d = 0 - 1. Which is the closest to d? (a) -3 (b) y (c) -3/8 c Let y be 6/(-15) - (-4)/5. Let j = 1.9 - 0.9. Which is the nearest t
{ "pile_set_name": "DM Mathematics" }
d*h**2 = 0. Calculate h. 26 Let r be 16/(-14) + 4680/1449 + -2. Factor 4/23 - 2/23*o**2 - r*o. -2*(o - 1)*(o + 2)/23 Let t(g) be the second derivative of 21/10*g**5 - 12*g + 0 + 1/14*g**7 + 3/5*g**6 + 3*g**2 + 4*g**4 + 9/2*g**3. Factor t(b). 3*(b + 1)**4*(b + 2) Let g(l) = -l**2 - 3*l - 2. Let y(n) = 9*n**2 - 120*n + 12. Let q(a) = -6*g(a) - y(a). Suppose q(f) = 0. Calculate f. 0, 46 Let p be (0/(12/(-2)))/(1 - 3). Suppose o - 3 + 11 = 2*c, -4*o - 8 = p. Solve 2*z**2 + z**c + 7*z - 12*z + 3 - z**2 + 0*z = 0 for z. -3, 1 Let x(p) be the first derivative of p**5/45 - 5*p**4/9 + 50*p - 62. Let b(k) be the first derivative of x(k). Find s, given that b(s) = 0. 0, 15 Let y(k) be the first derivative of k**4/44 + 20*k**3/33 + 89*k**2/22 - 10*k - 1281. Let y(r) = 0. What is r? -11, -10, 1 Let h(j) be the second derivative of j**4/84 - 13*j**3/42 - j**2 - 10*j - 49. Factor h(y). (y - 14)*(y + 1)/7 Solve 1120*k**3 - 37*k**5 - 19*k**5 - 225*k**4 - 1006*k**2 + 66*k**5 - 299*k**2 + 400*k = 0 for k. 0, 1/2, 1, 5, 16 Solve -2895 + 5*n**3 + 6335*n - 2460*n + 2393*n**2 - 3378*n**2 = 0. 1, 3, 193 Let a(h) be the second derivative of -h**4/3 - 142*h**3/3 + 760*h**2 - 1142*h + 2. Factor a(v). -4*(v - 5)*(v + 76) Let d be (1 - (-7 - -9))*(-831)/117. Let k = d - 88/13. Factor -2/3*r**2 + k*r**4 + 1/3*r**3 + 0 + 0*r. r**2*(r - 1)*(r + 2)/3 Let p(n) be the first derivative of 23 - 4/9*n**3 - 20/3*n - 4*n**2. Factor p(k). -4*(k + 1)*(k + 5)/3 Let y(a) = a**3 - 50*a + 8. Let m be y(7). Suppose 3*o = -l - m, -3*o - 85 = -5*l - 72. Factor 26/3*v - 8/3 - 2*v**l. -2*(v - 4)*(3*v - 1)/3 Let l(k) = 2*k - 12. Let u be 17/2 - 1/2. Let c be l(u). Factor -i**2 + 0*i**5 + 2*i**c + 2*i**5 - 8*i**3 + 6*i**3 - i**2. 2*i**2*(i - 1)*(i + 1)**2 Let g = 1027/10230 + -2/5115. Let b(j) be the second derivative of g*j**5 + 0 + 7*j + 1/5*j**6 + 0*j**3 + 0*j**2 + 0*j**4. Determine y, given that b(y) = 0. -1/3, 0 Let z be 1/7 + (-286)/(-7). Suppose 3*v - z = 1. Factor 9*h - v*h + 6 + 9*h - 10*h**2. -2*(h - 1)*(5*h + 3) Factor -139*q**3 - 143*q**3 + 3*q**4 + 258*q**3 - 57*q**2 - 30*q. 3*q*(q - 10)*(q + 1)**2 Let g(d) be the second derivative of -d**7/98 - 5*d**6/14 - 96*d**5/35 + 58*d**4/7 + 744*d**3/7 - 3672*d**2/7 - 9*d - 390. Suppose g(c) = 0. Calculate c. -17, -6, 2 Let t(g) be the first derivative of -3680/3*g**3 + 13950*g**4 - 53816*g**5 + 0*g + 108 + 40*g**2 - 148955/6*g**6. Determine l so that t(l) = 0. -2, 0, 2/31 Let y be 1/(-2)*(-74)/(-111)*(-1 - -1). Let x(f) be the first derivative of 28 + y*f**3 - 7/4*f**2 + 1/8*f**4 - 3*f. Find w, given that x(w) = 0. -2, -1, 3 Let v(k) = -48*k**3 - 101*k**2 - 18*k + 42. Let j(c) = 2*c**4 - 3*c**3 + 2. Let n(r) = 3*j(r) - 3*v(r). Let n(f) = 0. What is f? -20, -2, -1, 1/2 Factor 22886656 + s**2 - s**2 - 10515*s - 8621*s + 4*s**2. 4*(s - 2392)**2 Let m(v) = -2*v**2 - 10*v - 2. Let u be m(-4). Suppose u*c - 20 = c. Determine f so that 5*f + 5*f**2 - 13 + 1 - 2 + c = 0. -2, 1 Let z = -5827 - -11655/2. Factor -1/3 + 1/6*o**2 + 1/6*o**4 + z*o**3 - 1/2*o. (o - 1)*(o + 1)**2*(o + 2)/6 Suppose 0 = 6*k + 121816 - 121816. Let n(m) be the first derivative of k*m**4 - 3/35*m**5 + 0*m + 0*m**2 + 0*m**3 + 25. Solve n(j) = 0 for j. 0 Let x = -7/200 + 519/3400. Let w be 8/(-12) - (-192)/153. Factor 0*i**2 + 0*i - w*i**3 + 0 + x*i**4. 2*i**3*(i - 5)/17 Let b(k) be the first derivative of -6 + 1/150*k**5 + 0*k + 0*k**4 + 0*k**3 - 9/2*k**2. Let y(q) be the second derivative of b(q). Factor y(z). 2*z**2/5 Let k(l) be the first derivative of -1/12*l**4 - 18 + 1/3*l**3 + 1/30*l**6 + 0*l**2 - 15*l - 1/10*l**5. Let t(v) be the first derivative of k(v). Factor t(c). c*(c - 2)*(c - 1)*(c + 1) Let a be (43 - 67)*(-2 - 1)/6. Suppose 2*v + a = 4*p, 1 = -p + 5*v + 4. Find y, given that 0 + 18/5*y**p + 0*y - 6/5*y**4 - 12/5*y**2 = 0. 0, 1, 2 Let q = -3311/120 - -1157/40. Factor -1/3*m**3 + 0 - q*m**2 - m. -m*(m + 1)*(m + 3)/3 Let g be (-9534)/(-1170) + -8 + (-4)/(-78). Let 1/5*w**2 - g*w + 0 = 0. Calculate w. 0, 1 Let y be 213/71 - (1 + -1). Let w be 6/24*y/(-3)*-16. Determine i so that 30*i**3 + 9*i**5 - 46/3*i**2 + 11/3*i - 27*i**w - 1/3 = 0. 1/3, 1 Suppose 0 = -5*x + 1961 + 2319. Factor -6*t - 892*t**3 + 23*t**4 - 2*t + 28*t**2 - 3*t**4 + x*t**3 - 4*t**5. -4*t*(t - 2)*(t - 1)**3 Determine r, given that 105/2 + 3/4*r**2 + 213/4*r = 0. -70, -1 Let p(m) = 10*m**5 - 63*m**4 + 61*m**3 - 57*m**2 - 14*m. Let r(x) = 5*x**5 - 32*x**4 + 34*x**3 - 28*x**2 - 6*x. Let y(i) = -3*p(i) + 7*r(i). Factor y(b). 5*b**2*(b - 5)*(b - 1)**2 Let v = -7879 - -7879. Let c(j) be the third derivative of 0 - 4/39*j**3 + 1/130*j**5 + 1/39*j**4 + 22*j**2 + v*j. Let c(t) = 0. What is t? -2, 2/3 Let h(g) be the third derivative of g**5/570 + 583*g**4/114 - 3006*g**2. Factor h(q). 2*q*(q + 1166)/19 Suppose 4*z + 5*p - 2 = 0, 2 = -z - 3*p - 1. Let u be (-2*z/(-10))/((-51)/(-170)). Find b, given that -6/5*b**4 + 8/5*b + 0 - 14/5*b**3 + 0*b**u = 0. -2, -1, 0, 2/3 Let u(i) = 96*i - 152. Let t be u(-8). Let n be t/(-400) + (-6)/20. Find s such that 14/15*s - 4/15 - 2/5*s**n = 0. 1/3, 2 Solve 581904*g**4 + 360*g + 154*g**2 + 100 + 2*g**5 + 331*g**2 - 581829*g**4 + 3*g**5 + 295*g**3 = 0 for g. -10, -2, -1 Let b be 82 - 63 - 132/8. Suppose -3 - 1/2*o**2 - b*o = 0. What is o? -3, -2 Suppose 0 = -3*m - 3*t + 12, -4*m + 5*t + 0 + 7 = 0. Factor 115*q**3 - 6250 + 5*q**4 + 153*q**3 + 2865*q**2 + 49*q**m + 13*q**3 - 85*q**3 - 3625*q. 5*(q - 2)*(q + 1)*(q + 25)**2 Let o be (-2)/11 - ((-285)/55 + -5). Suppose -o = -2*a + 2. Let -2*p - 397*p**2 + a*p + 398*p**2 + 3 = 0. Calculate p. -3, -1 Let r(t) = 606*t**2 + 265*t + 11. Let h(p) = -908*p**2 - 398*p - 16. Let c(u) = 15*h(u) + 22*r(u). Suppose c(s) = 0. Calculate s. -1/2, 1/72 Factor 0 - 6/7*u**2 + 1/7*u**4 + 8/7*u - 3/7*u**3. u*(u - 4)*(u - 1)*(u + 2)/7 Factor -7684/5*n**2 - 7380482/5*n - 2/5*n**3 + 0. -2*n*(n + 1921)**2/5 Let d(g) be the first derivative of 3*g**5/5 + 117*g**4 + 6084*g**3 + 405. Factor d(x). 3*x**2*(x + 78)**2 Let c = 535 - 531. Suppose 0 = 2*h + 5*d - 24, -c*h + d - 4*d + 20 = 0. Solve 1/3*s**5 - 2/3*s**3 + 1/3*s - 2/3*s**h + 1/3 + 1/3*s**4 = 0 for s. -1, 1 Let f(c) = -36 + 13*c**2 + 19*c**2 + 123*c - 18*c**3 - 4*c**2 + 5*c**2. Let z(v) = v**3 + 2*v**2 + v. Let n(h) = -f(h) + 3*z(h). Factor n(m). 3*(m - 3)*(m + 2)*(7*m - 2) Let k be 45/9 + -14 + 22. Factor 13 + 57*c**2 - 54*c - 26 + k - 3*c**3. -3*c*(c - 18)*(c - 1) Suppose -737/3 + 1/3*v**2 + 56/3*v = 0. Calculate v. -67, 11 Suppose 0 = 48*n + 3*n - 222360. Determine j, given that -13077*j**3 - 1232*j**3 - 19980*j**2 - 449 + 6668*j**3 - n*j - 3645*j**4 + 129 - 23949*j**3 = 0. -8, -2/9 What is p in -244*p**3 + 4*p**4 - 2035 + 4069 - 2034 = 0? 0, 61 Let o be ((-32)/(-12))/((-2)/(-3)). Let l(h) = 6906*h + 69068. Let k be l(-10). Solve 2 + 7/2*a**3 - k*a - 21/2*a**o + 17/2*a**2 + 9/2*a**5 = 0 for a. -1, 2/3, 1 Let l(v) = 7*v**2 + 21*v + 22. Let p be (-3 - 5) + 3 + 4. Let u(t) = -t**2 - 1. Let w(o) = p*l(o) - 4*u(o). Factor w(x). -3*(x + 1)*(x + 6) Let m(u) = u**2 - 14*u - 11. Let t be m(13). Let l be (-2 - -21) + (-6)/t*4. Determine c, given that 11*c**2 - 7*c**2 - 11*c + l - 13*c = 0. 1, 5 Suppose -w - 14 = -4*d, -4*d - 3 = -5*w - 9. Let k(p) be the first derivative of -1/2*p**4 + 0*p + 0*p**3 + 0*p**w + 17. Determine i, given that k(i) = 0. 0 Let z = 3841 - 153639/40. Let m(l) be the third derivative of 1/8*l**3 - z*l**5 - 14*l**2 + 0 + 1/32*l**4 + 0*l. Suppose m(i) = 0. Calculate i. -1/2, 1 Let w(x) be the third derivative of -x**7/1050 + 97*x**6/600 + 149*x**5/150 + 5*x**4/3 - 2376*x**2. Determine k, given that w(k) = 0. -2, -1, 0, 100 Let b(l) be the first derivative of 2*l**3/3 + 52*l**2 - 106*l + 2145. Find n, given that b(n) = 0. -53, 1 Let z(r) be the third derivative of -3*r**3 + 0 - 14*r**2 - 13/40*r**5 - 3/8*r**4 + 0*r - 1/30*r**6. Let a(g) be the first derivative of z(g). Factor a(s). -3*(s + 3)*(4*s + 1) Let b(x) be the second derivative of 1/105*x**7 - 51*x + 27/25*x**5 + 4/25*x**6 + 18/5*x**4 + 0 + 27/5*x**3 + 0*x**2. Find t, given that b(t) = 0. -3, 0 Find o such that -196/11*o**2 + 64/11*o**4 + 142/11*o**3 + 272/11 - 2/11*o**5 - 280/11*o = 0. -2, 1, 34 Suppose 0 = -8*j - 172 + 100. Let m be (-22)/j + -16 + (-4 - -18). Solve -10/9*f**3 + 0 + 2/3*f**5 + m*f - 2/9*f**2 + 2/9*f**4 = 0 fo
{ "pile_set_name": "DM Mathematics" }
r? 3 What is 711 to the power of 1/3, to the nearest integer? 9 What is 24218 to the power of 1/2, to the nearest integer? 156 What is 3425 to the power of 1/3, to the nearest integer? 15 What is 689 to the power of 1/3, to the nearest integer? 9 What is 41459 to the power of 1/2, to the nearest integer? 204 What is 3981 to the power of 1/9, to the nearest integer? 3 What is the cube root of 32893 to the nearest integer? 32 What is the cube root of 110352 to the nearest integer? 48 What is 33794 to the power of 1/5, to the nearest integer? 8 What is the eighth root of 6621 to the nearest integer? 3 What is the third root of 3692 to the nearest integer? 15 What is 1302 to the power of 1/3, to the nearest integer? 11 What is the cube root of 1358 to the nearest integer? 11 What is the tenth root of 47472 to the nearest integer? 3 What is the sixth root of 373 to the nearest integer? 3 What is the third root of 42394 to the nearest integer? 35 What is the cube root of 22397 to the nearest integer? 28 What is the square root of 198 to the nearest integer? 14 What is 18343 to the power of 1/2, to the nearest integer? 135 What is 1665 to the power of 1/2, to the nearest integer? 41 What is the square root of 62 to the nearest integer? 8 What is 7995 to the power of 1/10, to the nearest integer? 2 What is 19882 to the power of 1/2, to the nearest integer? 141 What is the cube root of 4006 to the nearest integer? 16 What is the square root of 1343 to the nearest integer? 37 What is 983 to the power of 1/3, to the nearest integer? 10 What is 1404 to the power of 1/10, to the nearest integer? 2 What is the square root of 1401 to the nearest integer? 37 What is 43441 to the power of 1/3, to the nearest integer? 35 What is the cube root of 4172 to the nearest integer? 16 What is 124137 to the power of 1/4, to the nearest integer? 19 What is the tenth root of 1029 to the nearest integer? 2 What is the cube root of 2427 to the nearest integer? 13 What is 60198 to the power of 1/2, to the nearest integer? 245 What is 3089 to the power of 1/4, to the nearest integer? 7 What is 8017 to the power of 1/3, to the nearest integer? 20 What is 1012 to the power of 1/2, to the nearest integer? 32 What is the square root of 102050 to the nearest integer? 319 What is 1996 to the power of 1/8, to the nearest integer? 3 What is the sixth root of 1711 to the nearest integer? 3 What is 31131 to the power of 1/4, to the nearest integer? 13 What is 5066 to the power of 1/9, to the nearest integer? 3 What is 518 to the power of 1/3, to the nearest integer? 8 What is the eighth root of 2962 to the nearest integer? 3 What is the seventh root of 87 to the nearest integer? 2 What is the square root of 5452 to the nearest integer? 74 What is the cube root of 613 to the nearest integer? 8 What is the third root of 924 to the nearest integer? 10 What is 856 to the power of 1/2, to the nearest integer? 29 What is the seventh root of 724 to the nearest integer? 3 What is the fourth root of 76298 to the nearest integer? 17 What is 19895 to the power of 1/10, to the nearest integer? 3 What is the third root of 638 to the nearest integer? 9 What is the ninth root of 39377 to the nearest integer? 3 What is the seventh root of 927 to the nearest integer? 3 What is the ninth root of 49427 to the nearest integer? 3 What is 3744 to the power of 1/2, to the nearest integer? 61 What is 4837 to the power of 1/2, to the nearest integer? 70 What is the cube root of 49013 to the nearest integer? 37 What is 26615 to the power of 1/3, to the nearest integer? 30 What is the seventh root of 382 to the nearest integer? 2 What is the third root of 4759 to the nearest integer? 17 What is the square root of 14052 to the nearest integer? 119 What is 1771 to the power of 1/3, to the nearest integer? 12 What is the eighth root of 14994 to the nearest integer? 3 What is the square root of 16556 to the nearest integer? 129 What is the cube root of 10828 to the nearest integer? 22 What is 3166 to the power of 1/5, to the nearest integer? 5 What is 39687 to the power of 1/2, to the nearest integer? 199 What is the ninth root of 9972 to the nearest integer? 3 What is 497 to the power of 1/9, to the nearest integer? 2 What is 100606 to the power of 1/2, to the nearest integer? 317 What is the cube root of 8205 to the nearest integer? 20 What is the square root of 8426 to the nearest integer? 92 What is the square root of 23342 to the nearest integer? 153 What is the square root of 54591 to the nearest integer? 234 What is the eighth root of 8044 to the nearest integer? 3 What is 366 to the power of 1/5, to the nearest integer? 3 What is 5299 to the power of 1/2, to the nearest integer? 73 What is 46367 to the power of 1/2, to the nearest integer? 215 What is 891 to the power of 1/4, to the nearest integer? 5 What is the cube root of 59597 to the nearest integer? 39 What is the third root of 8520 to the nearest integer? 20 What is 2087 to the power of 1/2, to the nearest integer? 46 What is the seventh root of 50731 to the nearest integer? 5 What is 104117 to the power of 1/2, to the nearest integer? 323 What is 1236 to the power of 1/3, to the nearest integer? 11 What is the cube root of 2523 to the nearest integer? 14 What is the square root of 1717 to the nearest integer? 41 What is 10707 to the power of 1/4, to the nearest integer? 10 What is 1993 to the power of 1/3, to the nearest integer? 13 What is 8924 to the power of 1/10, to the nearest integer? 2 What is the third root of 36789 to the nearest integer? 33 What is the fifth root of 29208 to the nearest integer? 8 What is 145767 to the power of 1/3, to the nearest integer? 53 What is 732 to the power of 1/2, to the nearest integer? 27 What is the third root of 39813 to the nearest integer? 34 What is the cube root of 29330 to the nearest integer? 31 What is the third root of 203 to the nearest integer? 6 What is the third root of 37138 to the nearest integer? 33 What is the cube root of 1745 to the nearest integer? 12 What is 14894 to the power of 1/2, to the nearest integer? 122 What is 108064 to the power of 1/3, to the nearest integer? 48 What is 4116 to the power of 1/3, to the nearest integer? 16 What is the fourth root of 16825 to the nearest integer? 11 What is the square root of 4134 to the nearest integer? 64 What is 871 to the power of 1/3, to the nearest integer? 10 What is the square root of 165 to the nearest integer? 13 What is the sixth root of 1330 to the nearest integer? 3 What is the third root of 2349 to the nearest integer? 13 What is 68546 to the power of 1/2, to the nearest integer? 262 What is 66053 to the power of 1/5, to the nearest integer? 9 What is 12359 to the power of 1/8, to the nearest integer? 3 What is 1521 to the power of 1/4, to the nearest integer? 6 What is the cube root of 774 to the nearest integer? 9 What is the third root of 129038 to the nearest integer? 51 What is 1908 to the power of 1/3, to the nearest integer? 12 What is 2658 to the power of 1/2, to the nearest integer? 52 What is 6323 to the power of 1/2, to the nearest integer? 80 What is 20396 to the power of 1/2, to the nearest integer? 143 What is 668 to the power of 1/6, to the nearest integer? 3 What is 555 to the power of 1/2, to the nearest integer? 24 What is 3098 to the power of 1/3, to the nearest integer? 15 What is the tenth root of 49103 to the nearest integer? 3 What is the third root of 2551 to the nearest integer? 14 What is the cube root of 12218 to the nearest integer? 23 What is the third root of 1528 to the nearest integer? 12 What is the cube root of 1161 to the nearest integer? 11 What is the tenth root of 24961 to the nearest integer? 3 What is 5423 to the power of 1/2, to the nearest integer? 74 What is 110797 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 461 to the nearest integer? 3 What is the sixth root of 13041 to the nearest integer? 5 What is 890 to the power of 1/2, to the nearest integer? 30 What is the cube root of 898 to the nearest integer? 10 What is 5231 to the power of 1/3, to the nearest integer? 17 What is the square root of 4270 to the nearest integer? 65 What is the sixth root of 47730
{ "pile_set_name": "DM Mathematics" }
when 1011276 is divided by 15339? 14241 What is the remainder when 1886076 is divided by 2399? 462 Calculate the remainder when 425864125 is divided by 39. 37 What is the remainder when 430836 is divided by 143192? 1260 Calculate the remainder when 39132509 is divided by 626. 623 Calculate the remainder when 3136854 is divided by 850. 354 Calculate the remainder when 471404 is divided by 5. 4 What is the remainder when 1578458 is divided by 22549? 28 What is the remainder when 656627 is divided by 146? 65 What is the remainder when 2775071 is divided by 48? 47 What is the remainder when 702851 is divided by 1330? 611 What is the remainder when 2510539 is divided by 2967? 457 Calculate the remainder when 10903452 is divided by 604. 44 What is the remainder when 5132446 is divided by 4016? 4014 What is the remainder when 103912 is divided by 552? 136 Calculate the remainder when 5586 is divided by 349. 2 What is the remainder when 72870652 is divided by 19? 9 Calculate the remainder when 5245068 is divided by 18732. 108 Calculate the remainder when 30908897 is divided by 67. 55 Calculate the remainder when 30902185 is divided by 5983. 5973 What is the remainder when 47770623 is divided by 625? 623 Calculate the remainder when 6699199 is divided by 2233055. 34 Calculate the remainder when 293542 is divided by 15362. 1664 Calculate the remainder when 60898527 is divided by 2706. 2703 What is the remainder when 1699278 is divided by 3332? 3290 Calculate the remainder when 23714928 is divided by 1693902. 300 Calculate the remainder when 8345628 is divided by 758693. 5 What is the remainder when 796041 is divided by 793887? 2154 Calculate the remainder when 2862976 is divided by 954279. 139 Calculate the remainder when 555667 is divided by 16342. 39 Calculate the remainder when 148908 is divided by 6203. 36 Calculate the remainder when 813871 is divided by 50862. 79 Calculate the remainder when 11902 is divided by 1248. 670 Calculate the remainder when 6949241 is divided by 183. 182 What is the remainder when 165129 is divided by 23525? 454 What is the remainder when 1641368 is divided by 559? 144 What is the remainder when 153133 is divided by 51044? 1 Calculate the remainder when 7533 is divided by 5682. 1851 Calculate the remainder when 1592111 is divided by 139. 5 What is the remainder when 833502 is divided by 578? 26 Calculate the remainder when 2488722 is divided by 80. 2 What is the remainder when 4319697 is divided by 21491? 6 What is the remainder when 312210 is divided by 637? 80 Calculate the remainder when 32621504 is divided by 344. 328 Calculate the remainder when 5490284 is divided by 3648. 44 Calculate the remainder when 67168732 is divided by 33. 4 What is the remainder when 150044 is divided by 2681? 2589 What is the remainder when 1079521 is divided by 272? 225 What is the remainder when 92845874 is divided by 75? 74 Calculate the remainder when 120046 is divided by 11969. 356 What is the remainder when 381304 is divided by 1333? 66 Calculate the remainder when 1876618 is divided by 44. 18 Calculate the remainder when 56037318 is divided by 6519. 6513 Calculate the remainder when 1263598 is divided by 999. 862 Calculate the remainder when 523519 is divided by 78. 61 Calculate the remainder when 330439 is divided by 6738. 277 Calculate the remainder when 61800870 is divided by 345. 330 What is the remainder when 1020128 is divided by 1019818? 310 What is the remainder when 2156090 is divided by 148? 26 What is the remainder when 55627156 is divided by 22? 2 What is the remainder when 1321397 is divided by 103? 10 Calculate the remainder when 88297965 is divided by 24. 21 Calculate the remainder when 33212 is divided by 697. 453 Calculate the remainder when 3036882 is divided by 607372. 22 What is the remainder when 74864041 is divided by 4990935? 16 What is the remainder when 63627 is divided by 500? 127 Calculate the remainder when 873171 is divided by 428. 51 What is the remainder when 1081623 is divided by 17444? 95 Calculate the remainder when 252794 is divided by 1830. 254 What is the remainder when 430450623 is divided by 62? 61 What is the remainder when 90206 is divided by 2787? 1022 What is the remainder when 165055 is divided by 27474? 211 What is the remainder when 1742658 is divided by 33511? 86 Calculate the remainder when 5268996 is divided by 3178. 3050 Calculate the remainder when 14838907 is divided by 846. 67 What is the remainder when 988717 is divided by 197737? 32 Calculate the remainder when 795175 is divided by 265031. 82 Calculate the remainder when 1044 is divided by 860. 184 Calculate the remainder when 28354 is divided by 9302. 448 Calculate the remainder when 128120 is divided by 1664. 1656 Calculate the remainder when 252428 is divided by 2576. 2556 Calculate the remainder when 648866 is divided by 40536. 290 Calculate the remainder when 8834145 is divided by 41. 39 Calculate the remainder when 19680244 is divided by 249117. 1 Calculate the remainder when 158599 is divided by 922. 15 Calculate the remainder when 26161658 is divided by 1587. 1550 Calculate the remainder when 2241677 is divided by 2463. 347 What is the remainder when 162703 is divided by 13? 8 What is the remainder when 155180 is divided by 4083? 26 What is the remainder when 105737822 is divided by 5982? 5972 What is the remainder when 784437 is divided by 387? 375 What is the remainder when 471254 is divided by 1008? 518 What is the remainder when 6818803 is divided by 21? 19 Calculate the remainder when 389852 is divided by 80. 12 Calculate the remainder when 302854714 is divided by 1283. 1281 What is the remainder when 75721 is divided by 464? 89 Calculate the remainder when 39756761 is divided by 21. 2 What is the remainder when 2260428 is divided by 1683? 159 Calculate the remainder when 130284 is divided by 2364. 264 Calculate the remainder when 109156 is divided by 605. 256 What is the remainder when 243695731 is divided by 2971899? 13 What is the remainder when 43548374 is divided by 195? 194 Calculate the remainder when 35101580 is divided by 702031. 30 What is the remainder when 72430688 is divided by 2069448? 8 What is the remainder when 1093616 is divided by 1324? 1316 What is the remainder when 50985259 is divided by 3011? 3007 Calculate the remainder when 1288191 is divided by 4. 3 Calculate the remainder when 3251371 is divided by 67. 62 Calculate the remainder when 307957 is divided by 2797. 287 Calculate the remainder when 18812422 is divided by 51260. 2 What is the remainder when 153303 is divided by 25441? 657 Calculate the remainder when 8819763 is divided by 2939891. 90 What is the remainder when 9379164 is divided by 2321? 3 What is the remainder when 2506054 is divided by 68? 50 What is the remainder when 4699860 is divided by 997? 2 What is the remainder when 22814602 is divided by 356478? 10 Calculate the remainder when 174482812 is divided by 3497. 3494 What is the remainder when 21394631 is divided by 189? 20 What is the remainder when 29238 is divided by 102? 66 Calculate the remainder when 357270 is divided by 29753. 234 Calculate the remainder when 3465696 is divided by 866288. 544 Calculate the remainder when 64219 is divided by 10702. 7 Calculate the remainder when 21662 is divided by 5302. 454 Calculate the remainder when 2210198 is divided by 552. 542 What is the remainder when 4141642438 is divided by 10? 8 Calculate the remainder when 36314732 is divided by 16. 12 What is the remainder when 459149 is divided by 504? 5 What is the remainder when 3421345 is divided by 148754? 3 What is the remainder when 1077672 is divided by 224? 8 What is the remainder when 528266 is divided by 1594? 652 Calculate the remainder when 327863 is divided by 9987. 8279 Calculate the remainder when 3546936 is divided by 149. 140 What is the remainder when 203562 is divided by 8479? 66 What is the remainder when 12875 is divided by 695? 365 What is the remainder when 50654112 is divided by 66826? 4 Calculate the remainder when 9250301 is divided by 74. 5 What is the remainder when 761307 is divided by 42? 15 What is the remainder when 49824288 is divided by 75836? 36 Calculate the remainder when 39315076 is divided by 2
{ "pile_set_name": "DM Mathematics" }
5*b - 3*h + 46 = -2*h. Let k = 5 - b. Solve 5*d = -u - k, 6 = -5*u - 19 for d. -2 Suppose -m - t = -25, -4*m = t - 2*t - 110. Let o = 27 - m. Suppose -21 = -n + 3*y, o = 4*n - y - 3*y - 60. Solve 0*u - j - 4 = -4*u, n = 2*u + 2*j for u. 2 Suppose 0 = -8*v + 3*v - 2*o + 45, 5*o + 14 = -v. Suppose 0 = -5*k - x + 23, -2*k = -6*x + 7*x - v. Solve -18 = -3*a + 5*y - 3, 0 = -k*y - 12 for a. 0 Let a = -11 + 21. Suppose -a*y + 16 = -2*y. Suppose 12 = 2*h - 4*m, 2*h + 9 = -y*m + 3. Solve 5*c - 4*z + 0*z - 32 = h, -5*z = 15 for c. 4 Suppose 4*v - 257 + 59 = -2*c, -c - 141 = -3*v. Let t be 7*2/70 - v/(-10). Solve -t*s + 20 = -4*g - 1, 5*g = s for g. 1 Let v = 22698 - 22686. Solve -3*f - 2*c + v = 0, -31*f - 12 = -35*f - 2*c for f. 0 Let d = -34 + 37. Let r(b) = -b**2 + 4*b - 3. Let u be r(d). Solve -3*y - 2*n = -u*y, -n = 2*y for y. 0 Let m be (41/(-205))/((-1)/(-35)). Let b(q) = q**3 + 6*q**2 - 5*q + 16. Let k be b(m). Solve z = -3*t + k, -t + 1 = z + 3*t for z. 5 Suppose -f + 9 = 3*b, -6*b - 31 = -10*b + 5*f. Suppose -b*r + 22 = -14. Solve r = -a - 4*w, -3*w + 6 = -3*a - 6 for a. -5 Suppose 4*k + 2*r = 4 - 22, -3*r = -2*k - 21. Let w be (-4)/(8/111)*(-4)/k. Let s = w + 57. Solve -p - 5*q - s = -5*p, 0 = 5*p - q - 25 for p. 5 Let k be (-5 - 1)/(-2) + 2. Let o be 0 + 6 + -2 + -1. Suppose o*f - 11 = u, 1 = -f + u + 4. Solve 2*t + 25 = -k*h, -t + 4 = -f*h - 3 for t. -5 Let v be (-10)/6*(-36)/30. Suppose 0 = 5*t - v*t + 3*b - 12, 0 = 4*t + b - 19. Solve m - 2*m + 4*u = -14, m - t*u - 17 = 0 for m. 2 Let q = 115 + -73. Let r = 43 - q. Let k = r + 2. Solve -4*w - 20 = k*f, 2*f - 3 + 5 = 3*w for f. -4 Suppose h = 3*v - 21, 203 - 62 = -5*h + 3*v. Let n(y) = -y**2 - 30*y + 10. Let i be n(h). Solve b + 3*g = 6, -2*g + i = -5*b - 11 for b. -3 Let r = -29 - -39. Suppose -12 = -2*p - 2*i, -p + r + 4 = -i. Let b be (6/(-15))/((-2)/p). Solve -3*n = -0*n, b*n + 4 = -4*w for w. -1 Let d be (-2)/3 - (-12 + (-680)/(-60)). Suppose -r + 0 + 5 = 0. Suppose r*a = -5*o, 4*o + 11 = a + 1. Solve -3*w - 1 - 8 = 4*x, d = -a*x + 5*w + 15 for x. 0 Suppose 307*h - 6711 + 1536 = 100*h. Solve -22*a + h*a = o + 1, -2*a + o = -2 for a. -1 Let b be 6/10*((-6 - -6) + 15). Suppose 0 = -6*t + b*t - 15. Suppose -t*j - 4*k + 26 = 0, j - 7 + 1 = -k. Solve o - 3*c = 9, 0 = j*o + 3*o + 3*c + 9 for o. 0 Let i = -2647 + 2650. Solve -j - 1 = -c, i*c - 13 = 2*j - 14 for j. -4 Let i be (6 + (-238)/35)*(-60)/((-20)/(-5)). Solve 13 = -5*b + 2*n, -2*b - 3*n - 2 = -i for b. -1 Let k be 3*6/36*5*-2. Let t be (-541)/k + 9/(-45). Suppose 0 = 2*n + 4*n - t. Solve -d = -3*p - 4*d, 2*p = 4*d - n for p. -3 Let a(l) = -84*l + 120. Let u be a(-5). Let i = -538 + u. Solve -4 = -2*m + i*h, 2*m + 4*h + 22 = -m for m. -2 Let b(l) be the first derivative of 31*l**2 - 369*l + 253. Let n be b(6). Solve -4*g + 5 = 5*a, n*a - 23 = -8 for g. -5 Let p(u) = -2*u + u + 3*u - 39. Let t be p(21). Suppose 4*m - 2 - 10 = 0. Solve -9 = -t*c - 0, 3*f = m*c - 21 for f. -4 Let s = 313 - -61. Let i = s + -371. Solve -3*x - 2*c - 3 = -0, i*c - 3 = -2*x for x. -3 Let m be 2/4 - (-5)/(10/(-91)). Let z be (9/m)/((-5)/25). Solve -16 = o + 3*f, -2*o + f - 3 = z for o. -4 Suppose 22*d + 15*d + 4 - 115 = 0. Solve -d*z - 20 = -32*w + 28*w, -3*w = 5*z + 14 for w. 2 Let i(n) = -2*n**2 - 16*n + 23. Let s be i(-9). Suppose 4*u + 8 = 4*o, -o - 3 = s*u - 5. Solve k + u - 16 = -5*c, 3*c = k + 8 for c. 3 Suppose 2 + 13 = 3*d. Let w(u) = 389*u - 1554. Let z be w(4). Solve r + r - d*l = -29, -6 = -2*r - z*l for r. -2 Let q = -1524 + 1537. Solve -4*l = f + 21, -2*l = 5*f + q + 20 for f. -5 Let z be 74/14 + 110/(-385) - 0. Solve -25*n + 4 = 2*w - 29*n, 21 = 4*w + z*n for w. 4 Let q = -11 - -16. Suppose 3*m - q - 55 = 2*y, -3*m + 57 = -3*y. Solve -2*c - 4*i = -7*c + m, 3*i = 4*c - 17 for c. 2 Let a be 0/((-4)/(-8)*-6). Suppose a = -6*h - 2*h + 56. Solve -u - 27 = -3*b + 3*u, -h = b + 4*u for b. 5 Let y be (-474)/(-66) + (-26)/143. Solve -2*a - i = 1, 2*i = -y*a + 6*a + 4 for a. -2 Suppose 20 = 2*a + 2*i, -4*a + 3*a - 4*i = -22. Let o be 1/(21/a - 3). Solve -5*l = -3*x + 13, 3*l = -o*x + 2*l for x. 1 Let y(w) = -22*w**3 - 2*w**2 + 1. Suppose 5*z + 15 = -5*c, 4*z + z + 5 = 5*c. Let a be y(c). Solve 2*h + 13 = 5*f - 17, 0 = h - 4*f + a for h. -5 Let z(p) = -8*p**2 + 131*p - 33. Let i be z(16). Solve 0 = 5*m + 4*x + 40, i*m + 4*x + 8 = 18*m for m. -4 Let y be 14 - 7 - 2/(-4)*0. Suppose y*s = -2*s + 18. Solve 17 = -5*g + 3*g + 3*r, 0 = s*r - 6 for g. -4 Suppose -10*s + 694 = 644. Solve 4*h - 11 = s*w + 7, h - 4*w = 10 for h. 2 Let t = -5442 - -5445. Solve -5*g = -t*g - 2*o - 10, o = -3*g + 11 for g. 4 Let v be ((-105)/(-420))/(2/8)*4. Let a(j) = 2*j**3 - 3*j**2 + j - 1. Let p be a(2). Suppose 0 = p*q - 19 - 11. Solve 4*f - 4 = -v*b, -3*b - 5*f + q = -5 for b. -3 Suppose -8 = -2*o, -192*c = -193*c + 4*o - 11. Solve 0 = 5*t + 4*x - 10, -t - 6*x + 3 = -c*x for t. -2 Let n = -31 - -15. Let z = n + 19. Suppose 5*v + 1 = 2*s - 0*v, 1 = -s + 4*v. Solve -z*x - 4*k = 0, -2*k = -s*x + 2*x for x. 0 Let f(u) = 16*u - 124. Let a be f(8). Let s = -2 + 4. Suppose -3*c + 6 = s*x, -c = -x - a + 2. Solve -c*v + d = -12, -v + 5*d - 15 = -6*v for v. 5 Suppose d = -5*y + 2*d + 7, -2*y - 2*d = -10. Suppose y*q = z + 33, 4*q = 2*q - z + 27. Solve 0 = -2*x - 3*m - 6, -2*m - 3*m = -5*x - q for x. -3 Suppose -18*z + 1241 = 1115. Solve x + 5 = 0, j - 4*x + z*x + 13 = 0 for j. 2 Suppose -3*m + a + 3*a + 16 = 0, 5*m - 16 = -4*a. Suppose 3*v = 15, -m*w + 53 = -0*v + v. Solve -o + f - 5*f = w, 8 = -o - 2*f for o. -4 Let u(b) = 3*b - 27. Let p be u(11). Suppose 0 = z - 5*m + 37 - 19, -m = -5*z + p. Solve -z*q + 2 = 4*g, 25 = 5*g - 3*q + q for g. 3 Suppose -208*s = -274*s + 1716. Solve 3*l + s*u + 2 = 21*u, 4 = -4*u for l. 1 Let i = -545 - -548. Solve -25 = i*s - 5*t, -2*s - 4*t + 8 = 10 for s. -5 Let w(a) = -a**2 - 1796*a + 5405. Let n be w(3). Let d be (2 + 1)/((-6)/(-8)). Solve -2*k - 11 = -q - 5*k, -2*q + d*k = n for q. 2 Let v = -245 - -252. Let n = -1470 + 1472. Solve n*m - 4*d = -v + 3, 3*d + 2 = 4*m for m. 2 Suppose -21*n + 19*n + 2*d = -14, -2*d = 2*n - 34. Solve 0 = -0*x + 3*x + o - 14, n = x + 4*o for x. 4 Let b be ((-214)/8 - 565/452)/(1*-2). Solve l = -5*s + 15, b = 2*l + 4*s - 4 for l. 5 Let d = -12515 - -12515. Solve 5*z + 5*w + 40 = d, 5*z - 52*w = -47*w for z. -4 Let q be (-4)/18 + 6461/117 + -14. Let m = q - 37. Solve 2*b - 6 = m*y, -2*b + 6 = y - 3*y for y. 0 Let g(u) = -2*u**3 + 61*u**2 - 29*u + 22. Let d be g(30). Let b = d - 46. Solve -4*v + 5*p - 17 - b = 0, 0 = -v + p - 5 for v. -2 Suppose 0 = -6*r - 3*r + 72. Suppose 9 = 9*v - r*v. Suppose -6*h + v*h = 9. Solve -8 = h*x + 1, -3 = g + x for g. 0 Let p = -8747 - -8752. Solve 2*l = 2 + 8, 3*l - p = 5*n for n. 2 Suppose y + x = -4*x - 65, 0 = -5*y - 3*x - 369. Let m be 4 + ((-4)/3 - 25/y). Solve q = 3*o - 7, 0*o - 3*o + 15 = -m*q for o. 1 Let y(b) = -2*b - 28. Let u be y(-17). Let c(s) = -s - 147 + 154 + u*s. Let j be c(2). Solve 5*z + 2*k = -0*z + j, -5*k - 25 = -z for z. 5 Suppose 5*m - 4*n - n - 70 = 0, -34 = -2*m + 4*n. Suppose m*j - 28 = 9*j. Solve 3*i - 2*w + j = -0*w, -2*w + 6 = i for i. -2 Let a be (-6)/4*(2 + 20/(-6)). Let i(o) = -o**2 - 2*o + 3. Let k be i(-3). Solve y = g - k*y - a, 0 = -5*g + y - 2 for g. -1 Suppose 2783 = 16*f - 5*f. Let h = -253 + f. Solve h = p - o, 0 = 4*o - 3*o for p. 0 Suppose 2*g + 2*g + 9 = -u, g = -5*u + 12. Suppose 4 = 3*t - 2*o, -5*o - 4 = 3*t - u*o. Solve 3*j - 5 = -2*p + 4*j, t = -5*p + j + 17 for p. 4 Let w(u) = -2 + 4*u**2 - 4*u**2 - 26*u - 2 + 9*u - 2*u**2. Let c be w(-8). Suppose -2*m + 0*m + 6 = 0. Solve -m*f + o = -o + 9, 5*o - 12 = c*f for f. -3 Let o(c) = -c**2 + 5*c - 20. Suppose 23*x - 25 = 18*x. Let k be o(x). Let r be (-6 + k/(-3))/(2/6). Solve 0 = 4*w + 4*f, -4*w - 3*f + r = 5 for w. -3 Suppose -2*c = -4*u - 1658, 0 = -4*u + 8 + 4. Suppose -5*g + 850 = c. Solve 3 = d + p, -11*d + 6*d - 2*p + g = 0 for d. -1 Let q(k) = 11*k - 109. Let h be q(10). Suppose -9 = -2*p - h. Solve 5*z + 1 = 2*d - 3, z - p*d = 10 for z. -2 Let b = -53 + 58. Suppose 11 + b = 2*f. Let s(u) = u - 5. Let l be s(f). Solve 0 = l*i - 0*i - 4*o + 13, 0 = 5*i + 5*o + 10 for i. -3 Suppose 2*a - 3*l + 68 = 0, -4*l - 76 = -4*a - 216. Let b = a + 42. Suppose 13 + 1 = b*g - 4*p, g + p - 1 = 0. Solve g*t
{ "pile_set_name": "DM Mathematics" }
z a multiple of 20? False Let v be (-43)/2 - (-8)/(-16). Let f = 43 + -1. Let i = f + v. Does 20 divide i? True Let l be (-4 - -10)/(6/(-8)). Is 11 a factor of 1/(-2) - 220/l? False Let f = 5 - -4. Does 4 divide (f/6)/((-6)/(-16))? True Let w(v) = 2*v**3 + v**2 + v. Let b be w(-3). Is (b/20)/(6/(-45)) a multiple of 9? True Let x(c) = -9*c**3 - 2*c**2 + c - 2. Is x(-2) a multiple of 17? False Suppose -2*u + 5*c + 188 - 40 = 0, 5*c = 5*u - 355. Is u a multiple of 4? False Suppose 2*g = 2, -3*w - 6 = 2*g - 89. Is 8 a factor of w? False Is 588/27 + ((-60)/(-27) - 2) a multiple of 14? False Let k(b) = b**3 - 12*b**2 - 12*b + 10. Is k(13) a multiple of 7? False Let j(b) be the first derivative of -b**3/3 + 4*b**2 + 8*b + 2. Is 15 a factor of j(7)? True Let k be (1/2)/((-4)/(-24)). Suppose 31 + 11 = k*r. Is 14 a factor of r? True Let r = -35 - -52. Is 13 a factor of r? False Let f(m) = m**2 + 3. Let d be 1/(-3) - 8/3. Is 4 a factor of f(d)? True Suppose 0 = 12*m + 37 - 1069. Is m a multiple of 31? False Suppose 0 = m + 3. Is 15 a factor of 4*m/12*-38? False Let c(s) = 9*s + 6. Let b be c(7). Let t = b - 25. Let f = t - 23. Is 7 a factor of f? True Suppose 0*k = -k + 6. Suppose -k*q = -4*q - 64. Does 16 divide q? True Suppose -2*u - 4*f - 16 = -0*u, 25 = -5*u - 5*f. Is u/(-3) - 136/(-12) a multiple of 3? True Let j = 31 + -55. Is 7 a factor of 1*(-2 + -1) - j? True Suppose c + 179 = 2*j, 0 = -2*c - 0 + 2. Suppose -4*v - v = j. Does 13 divide 392/18 - 4/v? False Let j(m) = m**3 + 7*m**2 + 5*m - 6. Let v be j(-6). Suppose 5*w = 190 - v. Is w a multiple of 19? True Let t(b) = 3*b + 8. Let c be t(-10). Let l = c + 42. Does 10 divide l? True Is (13 + 3)*(-2 - -20) a multiple of 18? True Suppose 0 = 2*z - 5*g - 162, z = 3*z + 5*g - 202. Does 23 divide z? False Suppose 2*d = 5*v - 65, -2*v + 95 = 3*v + 4*d. Suppose 2*u - 1 = 3. Suppose -u*a - v = -113. Does 20 divide a? False Let y = -6 - -10. Suppose 30 = y*a - 5*a. Let l = -18 - a. Does 6 divide l? True Let s(p) = 3*p - 13. Let i(r) = -4*r + 19. Let v(y) = 5*i(y) + 7*s(y). Let w be v(0). Let x(u) = 9*u - 4. Is 11 a factor of x(w)? False Does 10 divide -4 - -14*1 - -3? False Suppose -11*o + 7*o + 1000 = 0. Is o a multiple of 10? True Let a be 4 + -1 + 0/(-1). Let v(d) = -8 - 1 + a*d - d. Does 2 divide v(6)? False Suppose -74 = 16*a - 18*a. Does 3 divide a? False Suppose 68 = -5*i + i. Let a = 3 - 0. Let k = a - i. Is k a multiple of 7? False Suppose 5*s = 25, -4*y - s - 216 = 327. Is (y - -3)/(2/(-1)) a multiple of 17? False Does 34 divide (4/(-5))/((-4)/170)? True Suppose 5*i + 5*z - 65 = 455, 5*z = 3*i - 336. Is i a multiple of 20? False Let s(v) = -54*v + 10. Is 9 a factor of s(-4)? False Suppose 5*c = -3*r + 13, 2*r - 6*r = 3*c - 10. Let a(q) = -4 - 2*q - 3*q + 2*q - 2 + q**c. Is 22 a factor of a(-4)? True Let q be (945/(-14))/(1/(-2)). Suppose 4*x + c = 267, -c - q = -3*x + x. Suppose -53 - x = -3*t. Does 20 divide t? True Let m(g) = 3*g + 53. Does 3 divide m(10)? False Let u(y) = -9*y + 2*y + 0*y - 6. Does 11 divide u(-4)? True Let v be (-3)/2*-2 + -2. Let p be (v/3)/(2/12). Suppose -6 - 4 = -p*z. Is z a multiple of 5? True Suppose 0 = 4*z - 92 - 48. Is 13 a factor of z? False Let p be (616/42)/(2/3). Let i(k) = k**2 - 5*k - 7. Let v be i(5). Let n = v + p. Does 15 divide n? True Let u be ((-10)/(-3))/(2/(-6)). Does 9 divide u/(-15) + (-164)/(-6)? False Let u = -88 - -166. Is u a multiple of 26? True Let v(g) = 4*g**3 - 3*g**2 + 3*g - 3. Let c be v(2). Let d(w) = 2*w**2 - 2*w - 3. Let i be d(-5). Suppose 5*s - c = i. Is s a multiple of 16? True Let g(z) = 2*z**2 + z. Let x = 6 - 9. Let h(q) = q**3 + 3*q**2 + q. Let r be h(x). Is g(r) a multiple of 6? False Suppose 0 = 5*a - 4*i - 4, a + 2*i = -0*i + 12. Suppose -u = -3*f + 147 - 8, -a*u = 16. Is 15 a factor of f? True Let l = 115 + -164. Let d = l - -73. Is 12 a factor of d? True Suppose 270 = 5*n + 5*c, -c - 2 + 5 = 0. Is n a multiple of 17? True Does 11 divide (4 - 10/2)*-55? True Is ((-96)/(-10))/((-3)/(-30)) a multiple of 20? False Let o(x) = 11*x + 0*x + x**2 + 5 + 3. Let l be o(-11). Is (-1)/((-9)/l + 1) a multiple of 4? True Suppose f = -3*f. Suppose -2*d + 5*r + 14 = f, 0 = -3*d - 6*r + 3*r. Suppose -m + d = -3. Is m a multiple of 3? False Let g(k) = -k**3 + 3*k**2 + 2*k - 2. Suppose 5 = -r + l - 1, -3*r = 4*l - 10. Is g(r) a multiple of 5? False Let j(w) be the third derivative of w**6/720 + w**5/24 - w**4/24 - 2*w**2. Let m(o) be the second derivative of j(o). Does 10 divide m(5)? True Let v(z) = 8*z**2 - 8*z + 9. Let g be v(7). Suppose 2*l + 3*l = g. Is l a multiple of 19? False Suppose -r - r = 4, 5*r + 43 = 3*y. Is 5 a factor of 1/2*(y - -1)? False Let f(y) = -y**2 - 21*y - 8. Let d be f(-9). Let q = -48 + d. Does 15 divide q? False Let b(w) = -3*w**2 + 7*w + 3. Let h be b(-5). Let f = h + 160. Suppose 5*y - 5*z - f = 42, 0 = -y - z + 29. Is y a multiple of 16? False Let f(l) = 2*l**3 - l**2 + 1. Let d be f(-1). Let p(g) = -g**3 - 2*g**2 - 2*g. Let y be p(d). Suppose -y = -0*k - k. Is k a multiple of 3? False Suppose -o + 0*o - 6 = -3*m, 0 = 2*o + 4*m - 28. Let b(n) = 9*n + 8. Let g(a) = -5*a - 4. Let r(f) = -6*b(f) - 11*g(f). Does 2 divide r(o)? True Let r be (-40)/25 - 2/5. Let k(v) = -10*v. Is 20 a factor of k(r)? True Suppose -2*o + 12 = -2*i, -4*o + 12 = 4. Let z = 26 - i. Does 22 divide z? False Suppose -16 - 56 = -4*m. Is 984/14 + m/(-63) a multiple of 33? False Let b = 55 - -68. Does 22 divide b? False Let f(o) = o**3 + 5*o**2 + 3. Let s be f(-5). Let y be 2*7 - (s - 3). Suppose y = 4*r - 38. Does 6 divide r? False Let s(c) = 2*c**2 - 6*c + 44. Is 8 a factor of s(9)? True Does 6 divide (-1 - -3)*(-108)/(-8)? False Let q(n) = n**2 - n + 1. Let m(r) = 38*r**2 - 4*r + 3. Let t(h) = m(h) - 2*q(h). Is t(1) a multiple of 9? False Suppose 0 = l + 4*l - 10. Let d be (l/(-3))/(2/24). Let b = d + 24. Does 12 divide b? False Suppose -35 = -5*y - 5. Is 1/((y/(-3))/(-48)) a multiple of 12? True Suppose 4 = -5*m - 6, -5*c - m + 173 = 0. Suppose 3*i - 4*p - 23 = 0, -3*p = -4*i - 2*p + c. Does 3 divide i? True Suppose y + 3*y = 20. Suppose -y*l + 135 = 5*m, -m + 145 = 5*l + 2*m. Is 11 a factor of l? False Suppose 8 = -2*u + 2. Suppose 0 = -4*k + k + 3. Let m = k - u. Is 3 a factor of m? False Let d be (-1)/(-1*1/86). Suppose 34 = i + 5*j, 3*i - d = -j + 2*j. Is i a multiple of 11? False Let o(g) = 5*g**2 + 2*g - 1. Let c be o(1). Let p be c/(-4)*(-16)/12. Suppose b + w - 19 = 0, -p = -w + 3. Is 7 a factor of b? True Let l = -8 - -28. Does 6 divide l? False Suppose 0*s = -5*m + s + 10, -5*s = 3*m - 6. Suppose x + 67 = 3*p - p, 5*x = m*p - 71. Does 9 divide p? False Let k = 19 + 198. Is 31 a factor of k? True Let s(j) = j + 4. Let g be s(-2). Suppose 0 = 3*w - 4*k + 14, 11 + 3 = g*w + 2*k. Let m(t) = t**3 + t**2 - t + 1. Is 11 a factor of m(w)? True Let j = 12 + -9. Suppose 6 = w + j*a - 2, 4*a = 4*w - 80. Is 4 a factor of w? False Suppose 385 = 14*p - 175. Is p a multiple of 5? True Let g(i) = 3*i**2 + 2*i. Is 8 a factor of g(-4)? True Is 17 a factor of (-6)/(2 + 144/(-68))? True Let z be 2/2 - 14/(-7). Suppose z*i - 5 = 7. Is 2 - (i*-1 + -1) a multiple of 7? True Suppose -s - 3*u = 1, 0 = -3*s - u - 1 - 10. Let g = s - 3. Let x(o) = -3*o + 10. Is 12 a factor of x(g)? False Suppose 7*s - 4*s - 168 = 0. Does 28 divide s? True Suppose 0 = 2*n - 4*c + 4, 10 = n - 6*n - 2*c. Is (64 - 0)*(-1)/n a multiple of 12? False Let f = -7 - -115. Is 18 a factor of f? True Let c = -13 - -18. Suppose -c*w + 2*j + 452 = 0, 0 = 4*w - j - 2*j - 363. Let n = -60 + w. Does 15 divide n? True Is (-2464)/(-12) - (1 + 6/(-9)) a multiple of 41? True Suppose -5*a - 130 = -3*f, 55 - 5 = f + 5*a. Does 2 divide f? False Let n = 247 - 139. Is 18 a factor of n? True Suppose -7*v = -5*v - 8. Suppose z + 66 = v*z. Is z a multiple of 17? False Let r = -12 + -13. Is 5 a factor of 144/10 + (-15)/r? True Let b(n) = -n**3 - 6*n**2 - 6*n - 3. Let a(s) = -s**3 - 7*s**2 - 7*s - 3. Let k(g) = 2*a(g) - 3*b(g). Let o be k(-3). Is (o + -14)/(-3 - -2) a multiple of 7? True Let w be (16/2)/(2/32). Suppose 4 - 2 = j. Suppose w = 4*z + 2*v, j*z + 3*v = -z + 102. Is z a multiple of 10? True Let d be 2*9/6 - -1. Suppose -43 = -4*x + 2*j + 61, -d*x - 5*j = -118. Is 12 a factor of x? False Let b
{ "pile_set_name": "DM Mathematics" }
*s - 56 What is the h'th term of 3, 62, 169, 324? 24*h**2 - 13*h - 8 What is the f'th term of -128, -634, -1514, -2762, -4372, -6338, -8654, -11314? f**3 - 193*f**2 + 66*f - 2 What is the q'th term of -2187, -2199, -2213, -2229, -2247, -2267? -q**2 - 9*q - 2177 What is the c'th term of 8744, 8757, 8774, 8795, 8820, 8849? 2*c**2 + 7*c + 8735 What is the h'th term of -34, 543, 2054, 4967, 9750, 16871, 26798, 39999? 78*h**3 - h**2 + 34*h - 145 What is the c'th term of 273857, 1095411, 2464667, 4381625, 6846285? 273851*c**2 + c + 5 What is the h'th term of 59, 241, 675, 1487, 2803, 4749, 7451? 21*h**3 + 35*h + 3 What is the i'th term of -286, -293, -286, -253, -182, -61? 2*i**3 - 5*i**2 - 6*i - 277 What is the d'th term of -1717, -6856, -15421, -27412, -42829? -1713*d**2 - 4 What is the s'th term of 12, -180, -380, -594, -828, -1088, -1380, -1710? -s**3 + 2*s**2 - 191*s + 202 What is the k'th term of -9728, -9604, -9398, -9110? 41*k**2 + k - 9770 What is the k'th term of 4691, 4673, 4667, 4679, 4715, 4781, 4883, 5027? k**3 - 25*k + 4715 What is the f'th term of 1127, 2259, 3403, 4559? 6*f**2 + 1114*f + 7 What is the z'th term of -3236, -6465, -9672, -12845, -15972, -19041, -22040, -24957? 2*z**3 - z**2 - 3240*z + 3 What is the u'th term of -131227, -131215, -131203? 12*u - 131239 What is the k'th term of -511, -1035, -1561, -2089? -k**2 - 521*k + 11 What is the t'th term of 10358, 10254, 10150, 10046, 9942? -104*t + 10462 What is the b'th term of -859, -838, -817, -796, -775? 21*b - 880 What is the m'th term of -153, -228, -215, -114, 75? 44*m**2 - 207*m + 10 What is the x'th term of -670, -1148, -1604, -2026, -2402, -2720, -2968? 2*x**3 - x**2 - 489*x - 182 What is the w'th term of -1709, -2148, -2587? -439*w - 1270 What is the l'th term of -197, -785, -1759, -3113, -4841? l**3 - 199*l**2 + 2*l - 1 What is the o'th term of 1144, 4906, 11172, 19948, 31240, 45054, 61396, 80272? o**3 + 1246*o**2 + 17*o - 120 What is the o'th term of -1894, -1945, -1990, -2029? 3*o**2 - 60*o - 1837 What is the i'th term of -1645595, -1645596, -1645597, -1645598, -1645599, -1645600? -i - 1645594 What is the l'th term of 51021, 51044, 51065, 51084, 51101, 51116? -l**2 + 26*l + 50996 What is the u'th term of -643, -2550, -5723, -10156, -15843? u**3 - 639*u**2 + 3*u - 8 What is the m'th term of 160, 311, 450, 565, 644, 675? -2*m**3 + 6*m**2 + 147*m + 9 What is the d'th term of -435, -503, -571? -68*d - 367 What is the w'th term of 35349, 35384, 35469, 35628, 35885? 4*w**3 + w**2 + 4*w + 35340 What is the w'th term of -143545, -287075, -430605, -574135, -717665, -861195? -143530*w - 15 What is the t'th term of -47, -389, -987, -1847, -2975, -4377? -t**3 - 122*t**2 + 31*t + 45 What is the l'th term of 422579, 845156, 1267733, 1690310, 2112887, 2535464? 422577*l + 2 What is the v'th term of 36328, 36327, 36326, 36325? -v + 36329 What is the p'th term of 3542, 3526, 3496, 3446, 3370, 3262? -p**3 - p**2 - 6*p + 3550 What is the u'th term of -799, -1577, -2335, -3073, -3791, -4489, -5167? 10*u**2 - 808*u - 1 What is the o'th term of 317361, 1269452, 2856279, 5077848, 7934165, 11425236, 15551067? o**3 + 317362*o**2 - 2*o What is the m'th term of 461, 991, 1557, 2159, 2797, 3471? 18*m**2 + 476*m - 33 What is the w'th term of -545, -175, 455, 1351, 2519, 3965, 5695? w**3 + 124*w**2 - 9*w - 661 What is the p'th term of 5217, 10431, 15645, 20859, 26073? 5214*p + 3 What is the v'th term of 285, 243, 165, 45, -123? -v**3 - 12*v**2 + v + 297 What is the u'th term of 13361, 13341, 13307, 13253, 13173? -u**3 - u**2 - 10*u + 13373 What is the l'th term of 324, 2576, 8688, 20592, 40220, 69504, 110376? 322*l**3 - 2*l**2 + 4*l What is the i'th term of 344724, 689447, 1034170, 1378893, 1723616? 344723*i + 1 What is the z'th term of 98030, 196057, 294084, 392111? 98027*z + 3 What is the z'th term of 58, 113, 94, -35, -310, -767, -1442, -2371? -6*z**3 - z**2 + 100*z - 35 What is the j'th term of -322, -258, -86, 248, 798? 9*j**3 + j - 332 What is the u'th term of 1634, 6581, 14828, 26381, 41246, 59429? u**3 + 1644*u**2 + 8*u - 19 What is the r'th term of 69413, 138825, 208237? 69412*r + 1 What is the c'th term of -252527, -252528, -252529, -252530? -c - 252526 What is the a'th term of 77, -69, -453, -1189, -2391, -4173? -19*a**3 - 5*a**2 + 2*a + 99 What is the c'th term of -206, -396, -582, -752, -894, -996, -1046? 2*c**3 - 10*c**2 - 174*c - 24 What is the u'th term of 651, 765, 863, 939, 987, 1001, 975? -u**3 - 2*u**2 + 127*u + 527 What is the w'th term of 20886, 20884, 20882? -2*w + 20888 What is the u'th term of 7, -134, -361, -674? -43*u**2 - 12*u + 62 What is the s'th term of 1276, 1267, 1248, 1219? -5*s**2 + 6*s + 1275 What is the g'th term of 13096, 13124, 13144, 13150, 13136, 13096, 13024? -g**3 + 2*g**2 + 29*g + 13066 What is the g'th term of 25608, 51226, 76840, 102444, 128032, 153598? -g**3 + 4*g**2 + 25613*g - 8 What is the r'th term of 7510, 7516, 7536, 7576, 7642, 7740? r**3 + r**2 - 4*r + 7512 What is the p'th term of -914, -2069, -3466, -5105, -6986, -9109? -121*p**2 - 792*p - 1 What is the s'th term of 4829, 9655, 14479, 19301, 24121? -s**2 + 4829*s + 1 What is the u'th term of -202, 481, 2330, 5927, 11854, 20693? 97*u**3 + u**2 + u - 301 What is the m'th term of 54492, 54493, 54494, 54495, 54496? m + 54491 What is the t'th term of -470, -560, -810, -1304, -2126? -14*t**3 + 4*t**2 - 4*t - 456 What is the t'th term of -325732, -1302947, -2931632, -5211781, -8143388, -11726447, -15960952, -20846897? t**3 - 325741*t**2 + t + 7 What is the n'th term of 13546, 13538, 13524, 13504, 13478, 13446? -3*n**2 + n + 13548 What is the s'th term of -26491, -52984, -79477, -105970, -132463? -26493*s + 2 What is the o'th term of -152, -259, -340, -383, -376, -307, -164? 2*o**3 + o**2 - 124*o - 31 What is the g'th term of 70, 18, -22, -44, -42? g**3 - 59*g + 128 What is the n'th term of 28881, 28878, 28875? -3*n + 28884 What is the o'th term of 772, 1587, 2402? 815*o - 43 What is the g'th term of 2962, 2957, 2952, 2947? -5*g + 2967 What is the y'th term of 1272, 2608, 3936, 5256, 6568, 7872, 9168? -4*y**2 + 1348*y - 72 What is the s'th term of -4026, -5757, -7488, -9219? -1731*s - 2295 What is the m'th term of 42, 55, 90, 159, 274, 447, 690? 2*m**3 - m**2 + 2*m + 39 What is the b'th term of -2423, -4421, -6419, -8417? -1998*b - 425 What is the z'th term of 520, 1121, 1720, 2317, 2912? -z**2 + 604*z - 83 What is the i'th term of -892, -2505, -4118? -1613*i + 721 What is the k'th term of 46413, 46426, 46439, 46452? 13*k + 46400 What is the m'th term of 3341, 4122, 4901, 5678, 6453? -m**2 + 784*m + 2558 What is the t'th term of -1680, -6999, -15866, -28281? -1774*t**2 + 3*t + 91 What is the b'th term of 27040, 54084, 81126, 108166? -b**2 + 27047*b - 6 What is the i'th term of 789887, 789886, 789885, 789884? -i + 789888 What is the b'th term of 427, 480, 535, 592, 651, 712, 775? b**2 + 50*b + 376 What is the u'th term of 877196, 1754392, 2631588, 3508784, 4385980, 5263176? 877196*u What is the w'th term of 349136, 698266, 1047394, 1396520? -w**2 + 349133*w + 4 What is the d'th term of -2173, -3255, -4337? -1082*d - 1091 What is the n'th term of 329095, 658188, 987281, 1316374, 1645467? 329093*n + 2 What is the j'th term of 251, 330, 409, 488, 567, 646? 79*j + 172 What is the k'th term of 19456, 38911, 58366? 19455*k + 1 What is the q'th term of 1095, 1103, 1133, 1191, 1283? q**3 + 5*q**2 - 14*q + 1103 What is the o'th term of 282, 377, 504, 651, 806, 957, 1092, 1199? -2*o**3 + 28*o**2 + 25*o + 231 What is the b'th term of 351, 599, 847? 248*b + 103 What is the u'th term of 215, 804, 1757, 3050, 4659, 6560? -4*u**3 + 206*u**2 - u + 14 What is the j'th term of -43983, -43977, -43971, -43965, -43959, -43953? 6*j - 43989 What is the o'th term of -1740, -2676, -3614, -4554, -5496, -6440? -o**2 - 933*o - 806 What is the r'th term of -39, 12, 51, 78, 93? -6*r**2 + 69*r - 102 What is the i'th term of -144, -221, -282, -321, -332, -309, -246? i**3 + 2*i**2 - 90*i - 57 What is the o'th term of -939, -888, -799, -672, -507, -304, -63? 19*o**2 - 6*o - 952 What is the b'th term of -257, -1479, -4733, -11015, -21321, -36647, -57989? -166*b**3 - 20*b**2 - 71 What is the p'th term of -564, -4511, -15212, -360
{ "pile_set_name": "DM Mathematics" }
*(sqrt(156) - sqrt(156)*-2) + sqrt(156)))/(sqrt(108)*1). -3*sqrt(13) Simplify (sqrt(220)/(sqrt(11) - (sqrt(99) + sqrt(11))))/(sqrt(360)*-2). sqrt(2)/36 Simplify (sqrt(1573)*-2)**2 - 3*sqrt(208). -12*sqrt(13) + 6292 Simplify 2*(sqrt(432) - (-1 + -1*sqrt(432))**2). -866 - 24*sqrt(3) Simplify 3 + (-1 + sqrt(68)/sqrt(4) + 2)*-4. -4*sqrt(17) - 1 Simplify sqrt(143)/(5*sqrt(176)). sqrt(13)/20 Simplify 1*1*((sqrt(13) + -2)**2 - sqrt(13)). -5*sqrt(13) + 17 Simplify -2*(sqrt(1300)*-1*5 + 3)**2. -65018 + 600*sqrt(13) Simplify (sqrt(9)/sqrt(3)*2)**2 + sqrt(12)*-2. -4*sqrt(3) + 12 Simplify -4 + sqrt(171) + 1. -3 + 3*sqrt(19) Simplify (sqrt(72)*2 - sqrt(72))**2 + 2. 74 Simplify 0 + sqrt(171) + 3. 3 + 3*sqrt(19) Simplify ((sqrt(280) + 3*sqrt(280) + sqrt(280))/sqrt(7))/(sqrt(648)*3). 5*sqrt(5)/27 Simplify (1*sqrt(242) + -3 - (-1 + 1*sqrt(242) + sqrt(242)))**2*5. 220*sqrt(2) + 1230 Simplify 4*(2 + (sqrt(243) + 0 - sqrt(480)/sqrt(10))). 8 + 20*sqrt(3) Simplify -5*(-1*sqrt(11) + -2 - (-2 + sqrt(1331))**2). -215*sqrt(11) + 6685 Simplify (2*sqrt(720)*1 - 5*(sqrt(720) - sqrt(720)*-1)**2) + -5. -14405 + 24*sqrt(5) Simplify -6*2*(sqrt(2) + -2). -12*sqrt(2) + 24 Simplify 3*(((sqrt(18) + sqrt(2))*6 - sqrt(2)) + (0 + sqrt(2) + -1 - sqrt(2))). -3 + 69*sqrt(2) Simplify 3*(sqrt(19) - (5 + sqrt(304))). -9*sqrt(19) - 15 Simplify (-5*((sqrt(2) - ((1 + sqrt(2))*-2 + sqrt(2))) + sqrt(12)/sqrt(6) + 3))**2. 750*sqrt(2) + 1075 Simplify (-3 + sqrt(3) + -1)**2 + (sqrt(243) + -2)**2. -44*sqrt(3) + 266 Simplify 6*(sqrt(27) + 5) - (sqrt(15) - 4*sqrt(240))/sqrt(5). 30 + 33*sqrt(3) Simplify 4*sqrt(130)/(-2*sqrt(10)). -2*sqrt(13) Simplify (sqrt(234)/(sqrt(6)*-1))/((2*sqrt(36))/sqrt(12)). -sqrt(13)/2 Simplify -4*(sqrt(56)/(sqrt(128)*-2))**2*-4. 7/4 Simplify (4*sqrt(425)*3 - sqrt(425) - sqrt(425))**2 - sqrt(425). -5*sqrt(17) + 42500 Simplify (sqrt(102)/sqrt(96))**2*-3. -51/16 Simplify -4 + ((sqrt(117)*-1)/sqrt(9) - sqrt(13)). -2*sqrt(13) - 4 Simplify (0 + -2*sqrt(13))**2 - ((sqrt(13) - sqrt(13)*1*-6) + sqrt(13)). -8*sqrt(13) + 52 Simplify ((sqrt(133) - (sqrt(133) - (2*sqrt(133) + sqrt(133))*-6))/(sqrt(175) + sqrt(175)*2))**2. 684/25 Simplify -4 + (sqrt(931)*1 - (1*sqrt(95) - sqrt(95))/sqrt(5))**2. 927 Simplify (sqrt(38)/((sqrt(8)/sqrt(4) + sqrt(2))*6))**2. 19/144 Simplify 1 + sqrt(1100) + sqrt(1100)*2 + 2 + sqrt(1100). 3 + 40*sqrt(11) Simplify sqrt(95)/sqrt(5)*2 - (-1 + (sqrt(19) - (sqrt(19) - sqrt(76)))). 1 Simplify (sqrt(500) + sqrt(500)*-3 + sqrt(500))*-3 + -3. -3 + 30*sqrt(5) Simplify (-4*(sqrt(2940)/sqrt(12) - sqrt(5)))**2. 2880 Simplify -2*sqrt(245) - (sqrt(5) - (sqrt(405) + 0 - sqrt(405)))**2. -14*sqrt(5) - 5 Simplify sqrt(76)/(sqrt(48)/sqrt(12) + sqrt(4)) + 1. 1 + sqrt(19)/2 Simplify (sqrt(1700)*-2)**2 - -3*sqrt(17)*-2. -6*sqrt(17) + 6800 Simplify sqrt(16)/(sqrt(72) + sqrt(8) + sqrt(8))*6. 6*sqrt(2)/5 Simplify 5 + sqrt(39)/(sqrt(432)/sqrt(4)). sqrt(13)/6 + 5 Simplify ((2*sqrt(5700) - sqrt(57))/sqrt(3))**2. 6859 Simplify (-5*(sqrt(242) + 1))**2 + 2. 550*sqrt(2) + 6077 Simplify sqrt(13) - (sqrt(13)*1 + 1) - (1 + sqrt(26)/sqrt(2)). -sqrt(13) - 2 Simplify (sqrt(77)*1*4 - sqrt(77))/(sqrt(84)/(sqrt(12) - sqrt(108))). -6*sqrt(11) Simplify 3 + -1*sqrt(7) + 2. -sqrt(7) + 5 Simplify (sqrt(125)*2 + 4)*4. 16 + 40*sqrt(5) Simplify sqrt(52)/(sqrt(500)/sqrt(5))*-2. -2*sqrt(13)/5 Simplify (sqrt(363)*1 + ((sqrt(3) + (sqrt(3) - sqrt(6)/sqrt(2) - sqrt(3)))*4 - sqrt(3)))**2. 300 Simplify sqrt(7)*2*2 - (5 + 2*sqrt(7)). -5 + 2*sqrt(7) Simplify 5*(sqrt(17) + -1) + sqrt(136)/sqrt(8)*-5. -5 Simplify sqrt(72)/sqrt(6) - (1*sqrt(147) + sqrt(3) + sqrt(3)). -7*sqrt(3) Simplify sqrt(119)/(sqrt(14)/sqrt(2))*-2. -2*sqrt(17) Simplify 0 + sqrt(176) + sqrt(11)*-2*-1. 6*sqrt(11) Simplify (sqrt(5) + 5 + sqrt(20)/sqrt(4) - (sqrt(5) + 4*(3 + sqrt(5))))**2. 42*sqrt(5) + 94 Simplify (-1*(-2*sqrt(187) + sqrt(187)))/(-3*sqrt(275)). -sqrt(17)/15 Simplify ((sqrt(245) - (sqrt(245) + 0) - sqrt(245)) + 5 - (sqrt(245) - (0 + sqrt(245) + 5)))**2. -140*sqrt(5) + 345 Simplify sqrt(136)/sqrt(72)*6 + 4. 4 + 2*sqrt(17) Simplify (sqrt(7488) + -1*sqrt(7488) - sqrt(7488))/sqrt(4). -12*sqrt(13) Simplify (sqrt(1584)*-1*-1)**2 - (sqrt(396) + -1)*-4. 24*sqrt(11) + 1580 Simplify (sqrt(104)/(sqrt(32)/sqrt(4)))**2 - ((sqrt(117) - (sqrt(117)*1 + sqrt(117))) + sqrt(117) + sqrt(117))/sqrt(9). -sqrt(13) + 13 Simplify -4*sqrt(63) + sqrt(7) + -1 + 3. -11*sqrt(7) + 2 Simplify ((-5 + sqrt(13) + -5)*6)**2. -720*sqrt(13) + 4068 Simplify (-2*sqrt(304)*-4)**2. 19456 Simplify (sqrt(275) + -1 + -2*sqrt(539))*1. -9*sqrt(11) - 1 Simplify sqrt(800)*1 + sqrt(800). 40*sqrt(2) Simplify (-2*sqrt(60)/sqrt(4))/((sqrt(12) + sqrt(3))*-5). 2*sqrt(5)/15 Simplify (6*(sqrt(88)*-1)/sqrt(8))**2. 396 Simplify (-5*(sqrt(27) + -3))**2 + 4. -450*sqrt(3) + 904 Simplify 1 + (sqrt(18)/(sqrt(3)*-1) + sqrt(6))/((sqrt(3)*-1 + sqrt(3))*-3 + sqrt(3)). 1 Simplify 3 + -6*(sqrt(17) + sqrt(17) + sqrt(17) + sqrt(51)/sqrt(3) + sqrt(17)) + 4. -30*sqrt(17) + 7 Simplify -1 + sqrt(2)*3 + sqrt(2) + 3. 2 + 4*sqrt(2) Simplify (2*(sqrt(68)*-1 - sqrt(68)) - sqrt(68))/(sqrt(28)/sqrt(112)). -20*sqrt(17) Simplify 0 + 3 + sqrt(1053) + 1. 4 + 9*sqrt(13) Simplify (1*(-1 + sqrt(192) + 5))**2. 64*sqrt(3) + 208 Simplify (2*(sqrt(60) - sqrt(960)))/sqrt(12). -6*sqrt(5) Simplify (-4 + (1 + sqrt(98) - sqrt(98)))**2 + -4. 5 Simplify (2*sqrt(114) + sqrt(114))/sqrt(6) + ((-1*sqrt(76) - sqrt(76)) + sqrt(76))/sqrt(4). 2*sqrt(19) Simplify (-6*(sqrt(228) + -2*sqrt(228)))/(sqrt(48)/sqrt(4)*-2 - sqrt(12)). -2*sqrt(19) Simplify ((sqrt(17) + 1)*1 + 5)*-2. -12 - 2*sqrt(17) Simplify 2*(sqrt(7) + sqrt(28)/sqrt(4)*-4). -6*sqrt(7) Simplify (-4 + sqrt(114)/sqrt(6) + 6*(sqrt(19) + sqrt(76)/sqrt(4)))**2. -104*sqrt(19) + 3227 Simplify (1*sqrt(147) + 0 + -2)**2. -28*sqrt(3) + 151 Simplify (3*(1*sqrt(1008) + 4) + -4)**2. 576*sqrt(7) + 9136 Simplify sqrt(91)/(sqrt(14)/sqrt(2)) + -3 + sqrt(39)/sqrt(3). -3 + 2*sqrt(13) Simplify (sqrt(7) + 0)*-2 - sqrt(252). -8*sqrt(7) Simplify -2 + (sqrt(19) - sqrt(76)) + sqrt(19) - (-1 + (2 + sqrt(19))**2). -24 - 4*sqrt(19) Simplify 0 + (sqrt(270)/(sqrt(12)/sqrt(2)))**2. 45 Simplify sqrt(76) + -5*sqrt(76)*4 + -2. -38*sqrt(19) - 2 Simplify 1*(sqrt(200) - (sqrt(200) + 1 + sqrt(200) + -1)**2). -800 + 10*sqrt(2) Simplify (sqrt(100)/(sqrt(10)/sqrt(2)))/(sqrt(4) + 2*sqrt(400)). sqrt(5)/21 Simplify (-3*sqrt(190)*1 + sqrt(190) + sqrt(190))/(2*sqrt(160)). -sqrt(19)/8 Simplify ((sqrt(832) - (sqrt(832) - (sqrt(832) + 0 + 2)))*-2)**2. 128*sqrt(13) + 3344 Simplify 1 + 5 + (sqrt(7)*-1 - sqrt(7)) + sqrt(126)/sqrt(2). sqrt(7) + 6 Simplify 1*-4*(sqrt(18) - sqrt(288)). 36*sqrt(2) Simplify (5*((sqrt(72) - (1 + sqrt(72) + -3)) + 3))**2. 625 Simplify (sqrt(5)*2*4)**2 - sqrt(20)*-4. 8*sqrt(5) + 320 Simplify 6*sqrt(832) - ((sqrt(208) - (sqrt(208)*-1)**2 - sqrt(13)) + 1). 45*sqrt(13) + 207 Simplify (-4*(sqrt(325) + (sqrt(325) - -2*sqrt(325)) + sqrt(325)))**2 - -6*(-2*sqrt(325))**2. 137800 Simplify -1 + ((sqrt(320) + 2)*-5)**2 + sqrt(320). 808*sqrt(5) + 8099 Simplify -2*(sqrt(63)/(sqrt(72)/sqrt(2) + sqrt(9)))**2. -14/9 Simplify -1*((sqrt(95)/(2*sqrt(5)) - sqrt(19)) + sqrt(19))**2. -19/4 Simplify (sqrt(24)/(sqrt(32)/sqrt(8)))/sqrt(3) + -4. -4 + sqrt(2) Simplify 3*sqrt(684)*-2. -36*sqrt(19) Simplify -2 + (sqrt(2299) + sqrt(2299) + 0)**2*-4 + -5. -36791 Simplify (sqrt(68) - (sqrt(68) - (1*sqrt(68) - sqrt(68))))/sqrt(4) + 3 + sqrt(17) + sqrt(102)/sqrt(6). 3 + 2*sqrt(17) Simplify (sqrt(208) - (0 + (sqrt(208) - 3*sqrt(208))))**2. 1872 Simplify sqrt(104)/(sqrt(64)/sqrt(8)) - ((-2 + sqrt(13) + sqrt(13) + sqrt(13))**2 + -4). -117 + 13*sqrt(13) Simplify (5 + -1*sqrt(1053) + sqrt(13))**2*4. -320*sqrt(13) + 3428 Simplify (1*sqrt(352))/(sqrt(2) + ((sqrt(2) - ((sqrt(6) + sqrt(54))/sqrt(3) - sqrt(2)) - sqrt(2)) + sqrt(2) - sqrt(2))). -2*sqrt(11) Simplify (sqrt(35)/(sqrt(5) + sqrt(5) + sqrt(80)) + sqrt(28)*2 + -1)**2. -25*sqrt(7)/3 + 4411/36 Simplify sqrt(121)/(2*sqrt(396)). sqrt(11)/12 Simplify (sqrt(75) - 4*(1 + sqrt(75)))**2 - (2 + (sqrt(75) + -1)**2). 130*sqrt(3) + 613 Simplify (-2*sqrt(1100) + 0 + sqrt(275) - 2*sqrt(176)*-1)**2. 539 Simplify (1 + sqrt(3) + 4)**2 + -5. 10*sqrt(3) + 23 Simplify -5*(((sqrt(80) + sqrt(80) + -1)**2 - sqrt(80)) + sqrt(80)). -1605 + 80*sqrt(5) Simplify -6*((4 + sqrt(10)/sqrt(2))**2 + 2) + 5. -133 - 48*sqrt(5) S
{ "pile_set_name": "DM Mathematics" }
42*k. Let j(o) = 191*o. Give j(l(r)). -27122*r Let w(n) = -1190*n**2. Let y(a) = -49*a**2 + 102. Let u(o) = -17*o**2 + 36. Let x(b) = 17*u(b) - 6*y(b). Give w(x(l)). -29750*l**4 Let d(v) = -23*v. Let o be (-2)/(-12)*-4*-51. Let k = o + -32. Let w(s) = -8*s**2 + 17*s**k - 8*s**2. Calculate w(d(a)). 529*a**2 Let j(z) = 46*z**2 - 12*z - 542. Let s(y) = -4*y**2 + y + 43. Let d(l) = j(l) + 12*s(l). Let v(h) = 23*h. What is d(v(w))? -1058*w**2 - 26 Let d(x) = 5735*x**2. Let k(w) = 15*w**2 - 236*w. Determine k(d(z)). 493353375*z**4 - 1353460*z**2 Let j(o) = -345162*o. Let c(s) = 2*s + 20. Give j(c(r)). -690324*r - 6903240 Let n(x) = 3*x**2 + x + 13745. Let u(v) = 3*v**2. What is n(u(q))? 27*q**4 + 3*q**2 + 13745 Let b(v) be the second derivative of -v**5/12 + 13*v**3 - v**2/2 - 10*v - 3. Let y(c) be the second derivative of b(c). Let a(l) = l. Calculate a(y(f)). -10*f Let j(o) be the first derivative of -9*o**2 - o - 2. Let i(z) be the second derivative of -z**4/6 + 144*z - 10. Calculate j(i(a)). 36*a**2 - 1 Let v(n) = -5*n**2 + n - 8. Let x be v(0). Let b(j) = -4*j + 10. Let w(y) = 6*y - 16. Let c(g) = x*b(g) - 5*w(g). Let a(h) = -68*h**2. Calculate a(c(m)). -272*m**2 Let h(z) = 2*z**2. Suppose 0 = k + 4*d + 13, 35 = 3*k - 3*d - 1. Suppose k*r - 11*r = -100. Let l(w) = r*w - 99*w + 42*w. Determine h(l(b)). 2048*b**2 Let q(j) be the first derivative of 25*j**4/12 - 54*j - 97. Let m(t) be the first derivative of q(t). Let v(p) = 4*p. Calculate v(m(r)). 100*r**2 Let r(t) = -2*t - 12. Let h(l) = -5*l**2 - 269498. What is r(h(s))? 10*s**2 + 538984 Let y = -134 + 133. Let j(g) = -4*g**2 - 5. Let x(k) = -k**2 - 1. Let i(n) = y*j(n) + 5*x(n). Let s(p) = -8*p + 9. Give i(s(a)). -64*a**2 + 144*a - 81 Let l(h) = 7*h**2. Let s(n) = -279*n**2 + 37*n**2 - 1 + 1 + 0. Give l(s(p)). 409948*p**4 Let d(z) = z - 6. Let q(u) be the third derivative of -27*u + 0 + 1/12*u**4 - u**2 + 0*u**3. Calculate q(d(b)). 2*b - 12 Let t(i) = -23*i**2. Let h(c) = -8317*c**2 + 17*c - 16. What is h(t(z))? -4399693*z**4 - 391*z**2 - 16 Let v(t) = 5166*t**2 + 4*t - 7. Let z(g) = 217*g. Give z(v(l)). 1121022*l**2 + 868*l - 1519 Let l(h) = 64*h - 1. Let n(a) be the second derivative of -7*a**3/6 - 9*a**2/2 - 2*a + 1. Let f(k) = -13*k - 15. Let w(b) = -3*f(b) + 5*n(b). What is l(w(j))? 256*j - 1 Let a(i) = 2*i. Let p(t) = 5*t**2 + 380428*t + 11. Give a(p(y)). 10*y**2 + 760856*y + 22 Let m = 15 - 10. Let l(a) = -5*a + 4*a + a - m*a. Let q(r) = -r - 1. Let x(o) = -11*o - 6. Let g(y) = 6*q(y) - x(y). Determine l(g(b)). -25*b Let h(q) = -5*q. Let m(d) = -d**2 + d. Let p(l) = 4*l**2 - 19*l. Let v = -68 + 73. Let n(o) = v*m(o) + p(o). Calculate n(h(t)). -25*t**2 + 70*t Let w(a) = -5*a - 6*a - a - 2*a - 18*a. Let p(g) = -370 + 370 - 2*g. What is p(w(r))? 64*r Let p(l) = -816*l - 2 + 1714*l + 2 - 879*l. Let d(h) = 905*h. Give p(d(x)). 17195*x Let t(z) be the first derivative of -1165*z**2 - 3042. Let h(b) = -2*b**2. Give h(t(x)). -10857800*x**2 Let b(v) be the third derivative of -4*v**5/5 - 7*v**3/3 + v**2 - 25. Let z(m) be the first derivative of b(m). Let r(f) = -2*f**2. Give z(r(o)). 192*o**2 Let r(n) be the first derivative of n**3 - 6. Let b(h) be the third derivative of -1/12*h**4 + 9*h**2 + 0*h + 0 + 0*h**3. Give r(b(f)). 12*f**2 Let r(a) be the third derivative of 19*a**5/60 + a**2 - 19*a. Let h(m) = 2*m - 24. Determine r(h(b)). 76*b**2 - 1824*b + 10944 Let k(g) = -25854*g. Let w(o) = -32*o + 17. What is w(k(i))? 827328*i + 17 Let h(d) = 535056*d. Let f(j) = 3*j. What is f(h(c))? 1605168*c Let x(t) = -14*t. Suppose -280 = 109*h - 117*h. Let k(d) = d. Let y(o) = h*k(o) + 2*x(o). Let r(a) = 3*a. Calculate r(y(n)). 21*n Let h(t) = t - 231. Let b(c) = 48*c**2 - 94*c. Calculate b(h(v)). 48*v**2 - 22270*v + 2583042 Let s(j) be the third derivative of j**5/30 - 2*j**2. Let d(w) = -75*w - 216. Let z(y) = -598*y - 1656. Let b(t) = -46*d(t) + 6*z(t). What is b(s(o))? -276*o**2 Suppose -3*x + h = 2*x - 35, -x - h + 7 = 0. Let l = -5 + x. Let j(o) = -l + 12 + 10*o - 10. Let p(i) = -i**2. Calculate p(j(z)). -100*z**2 Let r(b) = -66288*b - 28. Let t(g) = -2*g. Give r(t(m)). 132576*m - 28 Let k(a) = -848*a - 1. Let u(d) be the first derivative of d**2/2 - 3471. What is k(u(j))? -848*j - 1 Let o(m) = 3*m**2 - 5*m. Let d(l) = -509732*l. What is d(o(k))? -1529196*k**2 + 2548660*k Let x(m) = m. Let c(n) = 3*n + 17. Let o be c(-5). Let h(q) = -3*q**2 - q**2 + 13*q**o. Determine h(x(v)). 9*v**2 Let g(q) be the second derivative of -41*q**4/4 - q**3/6 + 531*q. Let v(x) = 5*x. What is g(v(h))? -3075*h**2 - 5*h Let x(d) = 0 - 4*d**2 + 0. Suppose w + w = -2*q + 1560, -w + 774 = 4*q. Let r(t) = -2*t - 782 + 0*t + w. Give x(r(h)). -16*h**2 Let k(h) = 7*h. Let i be 63098/28 + (-1)/(-2). Let q(n) = -15*n**2 - 2254*n + i*n. Give q(k(u)). -735*u**2 Let w(x) = -11*x + 10*x + 1363 - 1363 + 4*x. Let a(q) = 4*q**2 - 2. What is w(a(b))? 12*b**2 - 6 Let f(u) be the first derivative of 83 + 50 - u**2 + 1. Let x(i) = 5*i**2 + 2*i. Calculate x(f(b)). 20*b**2 - 4*b Let o(q) = 455*q**2 + 447*q**2 - 903*q**2. Let m(l) = l**2 + l - 1. Let n(r) = 2*r**2 + 1 - 3 - 6*r + 4*r**2 + 8*r. Let f(b) = -2*m(b) + n(b). What is f(o(p))? 4*p**4 Let k(u) = -5*u**2. Let v(d) = -259*d - 8. Let c(g) = -29274*g - 902. Let q(y) = -4*c(y) + 451*v(y). Determine q(k(n)). -1435*n**2 Let u(b) = 12*b - 14. Let t(z) be the second derivative of 6 + z**3 - 6 - 3*z**2 - 60*z + 7*z. Let s(w) = 7*t(w) - 3*u(w). Let q(c) = 6*c**2. What is s(q(d))? 36*d**2 Let h(t) be the first derivative of -13*t**4/12 + 4*t**2 + 7*t - 73. Let a(g) be the second derivative of h(g). Let r(s) = 4*s**2. Determine r(a(b)). 2704*b**2 Let j(g) = 8*g**2. Let x(r) = 11*r**2 + 12 + 6*r + 18*r**2 + 11*r**2 - 5*r**2. Let c be x(7). Let h(t) = -c*t + 1767*t - 2 + 2. Calculate h(j(p)). -16*p**2 Let v(b) be the third derivative of b**4/24 - b**2. Let x(z) = 3684*z + 3 - 3682*z - 28. Calculate x(v(u)). 2*u - 25 Let t(r) = 16. Let m(y) = -280*y - 6272. Let j(n) = 4*m(n) + 1568*t(n). Let s(u) = 3*u**2. Give s(j(p)). 3763200*p**2 Let c(l) = -7*l + 3*l + 5*l. Let i(q) = 691*q - 139. Let d(p) = 1497*p - 279. Let n(y) = 6*d(y) - 13*i(y). Give c(n(r)). -r + 133 Let v(a) = 167*a**2 - a. Let s(q) be the second derivative of q**4/2 + 15466*q. What is v(s(z))? 6012*z**4 - 6*z**2 Let u(r) = 5*r. Let a(y) = 207257*y. Calculate a(u(l)). 1036285*l Let w(x) = -11*x + 10. Let g be w(-4). Let l = g + -50. Let j(y) = 4*y + y**2 - l*y. Let s(m) = 18*m**2. What is s(j(d))? 18*d**4 Let d(a) be the second derivative of -127*a + 1/6*a**3 + 0*a**2 + 0. Let z(l) = -2*l**2 + 8*l. What is d(z(p))? -2*p**2 + 8*p Let b(u) = -670744766*u**2. Let y(s) = -s**2. What is b(y(o))? -670744766*o**4 Let x(u) = u. Let p(m) = 12*m - 1. Suppose -24 = 4*l + 3*r, -4*r - 12 = -r. Let i(g) = 14*g - 2. Let h(a) = l*p(a) + 2*i(a). Calculate h(x(k)). -8*k - 1 Let g(l) = 2*l. Let t(n) be the second derivative of n**4/6 + 5*n**2/2 + 618*n. Give g(t(i)). 4*i**2 + 10 Let p(j) = -4*j. Let q(i) = -i**2 - 2. Let x(a) = -17*a**2 - 3. Suppose 30*o - 8*o = -22. Let r(h) = o*x(h) + 2*q(h). Give r(p(f)). 240*f**2 - 1 Let v(n) be the first derivative of n**2 - 1. Let x(a) = 5*a**2 + 12*a - 4. Let r(q) = 11*q**2 + 28*q - 7. Let t(w) = 3*r(w) - 7*x(w). Give v(t(h)). -4*h**2 + 14 Let v(n) = -5*n. Let a(l) be the third derivative of 341*l**5/30 - 3140*l**2 - 2. Give v(a(q)). -3410*q**2 Let g(w) = 3562*w**2 + 3615*w**2 - 7276*w**2 - w. Let b(i) = -4*i**2. What is g(b(f))? -1584*f**4 + 4*f**2 Let g(l) = -547*l + 4. Let x(k) = 44*k - 25. Let n(f) = 9*f - 5. Let i(j) = 5*n(j) - x(j). Give i(g(m)). -547*m + 4 Let g(r) = -96*r**2. Let z(y) be the second derivative of -y**5/60 + y**3 + 3*y**2/2 - 12*y. Let b(v) be the second derivative of z(v). Give b(g(m)). 192*m**2 Let p(n) = n**2. Let u(t) be the third derivative of t**6/720 - 3*t**4/8 + t**3/3 + 13*t**2 - 3*t. Let a(w) be the second derivative of u(w). What is a(p(j))? j**2 Let s(v) = -299*v**2 + 65867*v. Let g(h) = h. Determine g(s(x)). -299*x**2 + 65867*x Let y(g) be the third derivative of -1/3*g**4 + 1/2*g**3 + 0*g + 15*g**2 + 0. Let w(z) = -2*z**2. Give y(w(a)). 16*a**2 + 3 Let i(k) = 3805905*k. Let r(n) = -18*n. Calculate i(r(o)). -68506290*o Let j(s) = -28*s**2 + 4*s - 4. Let l(z) = -39*z**2 + 6*z - 6.
{ "pile_set_name": "DM Mathematics" }
(-114)/8. Let a = 21 + -14. Let s(r) = 2*r**2 - 17*r + 7. Let d be s(a). Do d and g have the same value? True Suppose -2*x + 45 = -473*m + 476*m, x = m + 30. Which is bigger: 694/25 or x? 694/25 Suppose -b - 4*n + 2*n + 10 = 0, -2*n + 10 = 3*b. Suppose 28*t = -b*t - 14140. Does -506 = t? False Let s = -5770689/10 + 576170. Let r = 898 + s. Let z = -16554 + 16553. Is r less than z? False Let g be 2/7 - 876/28. Let w be ((-5)/(-2))/((-1308)/18312). Is w < g? True Let l = -3516.096 + 13.096. Is l < 0.2? True Let z(c) = -c**2 - 96*c - 478. Let w be z(-100). Is -879 at most as big as w? True Let t be (-16 - 10)*28/(-4). Let m = -385 + t. Does m = -202? False Let v = -3116437/44 + 286415/4. Let y = -782 + v. Is -5 less than or equal to y? False Let p(a) = 355*a - 40. Let j be p(4). Suppose 26*q = 31*q + j. Let x be 1*(-2)/q*2/1. Are -1 and x non-equal? True Let p be (41 + 285306/(-6930))*((-1)/6 + 0). Is 1/2 at most as big as p? False Suppose -3*y = -4*m - 64, 17 + 45 = 3*y - 5*m. Suppose -y*c + 5174 = -10. Is c at least 216? True Let q be (-80)/32 - (-183)/78 - (-133167)/(-117). Which is greater: -1139 or q? q Let c be ((-63)/(-98))/(-1 + (-69)/(-63)) + -7. Let g(d) = -40*d + 2. Let l be g(-4). Which is greater: l or c? l Let t be (6/(-15))/(1/10). Let w(j) = 7*j - 32. Let v be w(-8). Let m = 251/3 + v. Is t bigger than m? True Let p = -765 + 402. Let l be (-2)/(-11) + 3333/p. Which is bigger: -8 or l? -8 Let y be (2/5)/((-3)/15) + (-146)/(-146). Is y greater than or equal to 2/2351? False Suppose 5 + 6 = 29*m + 11. Is m > 2/115? False Let f = 103.9 - -1.1. Which is bigger: f or 0.9? f Suppose -2*o + 397 = -269. Let f = -5321/16 + o. Suppose 1 = 5*z - 4*z. Which is bigger: z or f? z Let h be -9 + 13/((-13)/(-144)). Is h greater than or equal to 1470/11? True Let l = 0.407 - 2.407. Which is bigger: 0.153 or l? 0.153 Let n(x) = 1138*x**3 + 10*x**2 + 19*x - 2. Let r be n(-2). Which is smaller: -9103 or r? r Let c = -20636 + 14952. Are c and 2 equal? False Let v be 4*-1*(-11 - -39)/(-7). Let k(z) = z**3 - 9*z**2 + 10*z - 4. Suppose -1 = 2*t - 17. Let c be k(t). Which is greater: c or v? v Let p = 2 + -2. Let t = -24763169/957 - -284634/11. Which is greater: t or p? p Let d be (-3)/(-1)*(9 - 10755/1269). Which is smaller: 2 or d? d Suppose 0 = 5*n - 10, -4*f - 4*n = f - 33. Let c be (f - 0) + -10 - -34. Is 27 > c? False Let f(s) = -2*s + 3. Let b be f(-3). Let a be (2/b)/(2/(-3)) - 11. Let c = -12 - a. Is 1 bigger than c? True Suppose 5*y = -3*h + 4, -3*h = 15 - 9. Is y at least -617? True Suppose 0 = -3*l + 53 + 7. Let b be l/(-30) - (-886)/42. Is b less than or equal to 21? True Let o(q) = q**3 - 6*q**2 - 16*q - 16. Let g be o(8). Let m be ((-6)/(-4))/(8/g). Let h = -6 + 3. Is h <= m? True Let y = 1 - 0. Let i be ((-5)/9 + 1)/74. Let r = -712/7659 + i. Is y greater than r? True Let q(z) = -4*z + 17*z**2 + 7 - z**3 + 0*z - 13*z**2. Let h be q(3). Suppose -2*c + 10 = -h*c. Is c < 2/3? True Let c(w) = -108*w - 407. Let b be c(-5). Is 131 at least as big as b? False Let m = -21459674/5188991 + 2/87949. Which is smaller: m or -3? m Suppose 0 = -44*o + 46*o + 168. Let g = 87 + o. Let s be -2*8 - (g - (-1 + 0)). Is -83/4 < s? True Let f = -13580 + 13758. Is f bigger than 184? False Let i be (-2 + -1 + -5)*1. Suppose 4*f = 6*f + 14. Let p(h) = h - 1. Let j be p(f). Are i and j equal? True Let d = 44 - 39. Suppose -d*i - 5*y - 210 = 0, -4*y + 19 = 7. Let v be ((-2)/(-7))/(i/35 + 3). Is v <= -1? False Let p be 5 + 128/60 - (-12)/(-90). Suppose 18*x + 25 = -p*x. Is -2/3 > x? True Suppose -4*p + 2 = -2*p. Suppose -3*a = -0*a - 15. Suppose -j + 6 = a*j. Is j equal to p? True Let k be (-2)/4 - (-922299)/1844990*1. Let y = k - -1202143036/2503915. Let w = y - 480. Is 0.8 less than w? False Let q(b) = 99*b + 5. Let u be q(-7). Let a = 468 + u. Are a and -221 nonequal? True Let n = 479 - 382.2. Let l = -346.2 - n. Which is smaller: 0.1 or l? l Suppose 0 = 6*j - 2*j. Suppose p + 2*b - 10 = 0, -3*b = -j*p - p - 15. Let c = -118610 - -6404939/54. Is c at least p? False Suppose -24 = -4*g + 12. Let o be (-303)/27 - (-2)/g. Suppose 691*u + 5397 + 2204 = 0. Are o and u equal? True Let v be 7/((-9)/6 - -2). Let c = -17 + v. Let u be (3/(-5))/(24/120). Is c greater than u? False Suppose -2*v + 5*f + 950 = 911, 3*f - 51 = -5*v. Let x = 31 - 13. Is x > v? True Suppose -5*p = -5*g - 20, g + 0*p + 2*p = 11. Let z be (-10)/4 - ((-2)/g)/(-4). Is -13/4 less than or equal to z? True Let m(c) = c**2 - 52*c - 765. Let l be m(61). Which is bigger: l or -214? -214 Suppose -8*m + 558 + 1082 = 0. Let k = -142 + m. Are k and 2 non-equal? True Suppose 19*q + 215 = -32. Let v = -2.9 - -2.8. Let w = v + 0.2. Do q and w have different values? True Let p = -592 - -606. Suppose 0 = p*k + 35*k. Are -352 and k unequal? True Let z(j) = j**3 - 5*j**2 + j. Let g be z(5). Suppose 10*i - 225 = g*i. Suppose 0 = 5*h + i - 250. Is h greater than or equal to 41? True Let k be (23 + -24)*86*2. Are -160 and k non-equal? True Let p = 131.246 - 0.246. Let k = p - 131. Which is smaller: 2 or k? k Let h = 78.2 - -89.8. Which is greater: -1 or h? h Suppose 12 = 4*y - 2*z, 2 = 2*y - 3*z - 8. Is y at most 76? True Let t(o) = 83*o - 77. Let c be t(-10). Let n = -907 - c. Is 29/25 at most n? False Suppose 42235 = 3*q - 2*d, -5005 = 5*q + d - 75388. Is 14078 < q? False Suppose 5*t - 10*x = -8*x + 22, -t + 5*x + 9 = 0. Suppose -t*q + 190 - 18 = 0. Do -2/9 and q have the same value? False Let m = 0 - -1. Let i = -245371 + 1226856/5. Is m != i? True Let y = 103976/1166031 + -1/8901. Which is smaller: y or 1? y Let q = 1221 + -1203. Let v = 11 + -7. Suppose -v*c = f + 3, c - q = -f - 3*f. Are -1/2 and c nonequal? True Let f(j) = -6*j**3 - 46*j**2 + 9*j - 4. Let t be f(-7). Is 3 less than t? False Let p be 45 - (2/7 + (-76)/(-28)). Suppose 6 = -p*z + 39*z. Let r = 6 - 2. Is r at most as big as z? False Suppose 5*k - 800 = -2*r, 19*r - 14*r = 5*k - 765. Which is greater: k or 157? k Suppose 10*c = 1386 - 2706. Is c less than or equal to -131? True Let o = -68 + 49. Let j = 19.9 + o. Which is greater: 4 or j? 4 Suppose 0*l = -f + 2*l + 2, 5 = 4*f - 5*l. Let x be (-6)/189*-9 - (-104)/28. Suppose 0 = -4*v - 4*b - 12, -x = 4*b - f*b. Which is bigger: 44 or v? 44 Let t(f) = f**3 - 23*f**2 + f - 17. Let z be t(22). Let u = z - -421. Which is smaller: -59 or u? -59 Let u be 8/(-9) - (-2046)/4185 - (-4614)/10. Which is bigger: 460 or u? u Suppose -6*q + 375 - 21 = 0. Which is smaller: 115/2 or q? 115/2 Let t = 393 + -414. Suppose -16*d = -25*d - 216. Which is smaller: d or t? d Let o = 67312193 + -1548545551/23. Let l = o - -15872. Which is greater: -3 or l? l Let s = 21016 + -21016. Let m = 16622 - 12549608/755. Which is bigger: m or s? m Let a = -7614 - -738549/97. Is a >= 0? False Let o be -5 + (16935/25 - 1) - (-4)/(-10). Is o smaller than 3348/5? False Let d = -684 + 682. Let w be (4/32*d)/((-25)/(-220)). Is -2 greater than w? True Let n = 20942 - 607138/29. Let s = n + -3217/551. Is 0 smaller than s? True Let m = -1439.97 - -1456. Let a = m - -0.17. Which is bigger: a or 0.1? a Let s be (-5)/20 + 45/20 - 0. Let n be 27 + -30 - s*-2. Does n = 3/2? False Let y = -232 - -413. Let k = 215 - y. Is -2 equal to k? False Let d be 27517/49*-7 + 13. Which is smaller: d or -3916? d Let o = 3110 + -3106. Which is greater: o or 190? 190 Suppose 25 - 41 = -8*v. Suppose 0 = -4*p + v*y, 2*p - 3*y = -4*y. Which is greater: p or -1/86? p Let v = -2288322/7 + 325784. Do -1118 and v have the same value? False Let j = 2384 - 2382. Is -575 at least as big as j? False Suppose 0 = g - 3*b - 0*b - 16, 2*g - 22 = 4*b. Let j = -3/6052 - -8155/4242452. Is j greater than g? False Let t(h) = -h + 25. Let w be t(13). Let d be 40/w*(-12)/(-8). Suppose 0*o = o + 4*m + 23, -d*o - 77 = m. Is o less than -15? False Let z = -1492.05413 - -0.05413. Which is smaller: 0.1 or z? z Suppose -6 - 6 = -3*n, 0 = c - 2*n. Suppose c*i = 6*i + 8. Suppose -2*k = -5*k - f + 2, -f - i = 0. Is 1 > k? False Let m(c) be the first derivative of c**4/2 + 7*c**3 + 7*c**2/2 - 30*c - 66. Let k be m(-10). Which is bigger: -1/77 or k? k Let s = -21.643 + 21.58. Which is smaller: 1 or s? s Let h = 76/759 - 1116416/22011. Which is smaller: h or -51? -51 Let f = -1172 + 1253.1. Let k =
{ "pile_set_name": "DM Mathematics" }
econd derivative of 0*d**u + 1/12*d**4 + 0*d**2 + 1/5*d**5 + 1/10*d**6 + 0 - d. Solve q(o) = 0 for o. -1, -1/3, 0 Solve -6/5*r + 2/5*r**4 - 4/5 + 6/5*r**3 + 2/5*r**2 = 0. -2, -1, 1 Let r(b) be the third derivative of b**6/24 - b**5/12 - 25*b**4/24 - 5*b**3/2 - 27*b**2. Let r(v) = 0. Calculate v. -1, 3 Determine j, given that 1/5*j**3 - 8/5 + 3/5*j**2 - 6/5*j = 0. -4, -1, 2 Suppose -4*l = -l - 15. Solve -u**3 + u**4 + u**l - 5*u + 5*u - u**2 = 0 for u. -1, 0, 1 Let u(q) be the first derivative of -19/14*q**4 - 16/7*q**2 + 50/21*q**3 - 1/21*q**6 + 1 + 8/7*q + 2/5*q**5. Find k, given that u(k) = 0. 1, 2 Determine n so that 5*n**2 + n + 10 + n + 13*n = 0. -2, -1 Suppose 0 = -4*a + 8 + 4. Find k such that 2*k - a*k**2 + 5*k**2 + 0*k**2 = 0. -1, 0 Let s(b) be the second derivative of b**6/36 + b**5/30 + b**3/6 + 2*b. Let r(u) be the second derivative of s(u). Factor r(w). 2*w*(5*w + 2) Factor 42*x**3 - 38*x**3 - x**4 - x**4 - 2*x**2. -2*x**2*(x - 1)**2 Let t(w) be the third derivative of -w**5/60 - w**4/4 - 3*w**3/2 - 6*w**2. Factor t(v). -(v + 3)**2 Let c = -39778/3 + 13585. Let t = -321 + c. Find i such that 0 + 4/3*i + 10/3*i**3 + t*i**2 = 0. -1, -2/5, 0 Factor -2*u + 4*u**3 + 0 + 11/3*u**2 - 5/3*u**4. -u*(u - 3)*(u + 1)*(5*u - 2)/3 Let u(w) be the second derivative of 22/15*w**6 - 1/7*w**7 + 0 + 40/3*w**4 + 32/3*w**2 - 16*w**3 - 92/15*w**5 + w. Factor u(q). -2*(q - 2)**3*(3*q - 2)**2/3 Let j(l) = -l**3 - 8*l**2 + 8*l - 10. Let i be j(-9). Let p(m) = 3*m**2 + 2*m + 1. Let k be p(i). Let 2 + 0*n**3 - 2*n**k - 5*n + 8*n**3 - 3*n = 0. Calculate n. -1, 1/4, 1 Let u(q) be the third derivative of 1/6*q**3 + 1/24*q**4 - 1/60*q**5 - 7*q**2 + 0*q + 0 - 1/120*q**6. Factor u(p). -(p - 1)*(p + 1)**2 Let k = 68 + -76. Let m(y) = -10 - 5*y**2 + 2 - 7*y**3 - 33*y - 22*y**2. Let b(n) = 10*n**3 + 40*n**2 + 50*n + 12. Let s(v) = k*m(v) - 5*b(v). Factor s(j). 2*(j + 1)**2*(3*j + 2) Let z(r) be the first derivative of 0*r**2 - 6 + 0*r + 0*r**3 - 1/16*r**4. Factor z(l). -l**3/4 Suppose 4*z = m - 0*z + 6, -3*z + 27 = 3*m. Suppose -m*x**2 - 3*x**4 + 3*x + 6*x**3 - 3/5 + 3/5*x**5 = 0. What is x? 1 Factor 6*i**4 - 12*i**4 - 2*i + 7*i**4 + 12*i**2 - 6*i - 6*i**3. i*(i - 2)**3 Let b = -19/9 - -20/9. Let n(u) be the second derivative of 5/27*u**3 + b*u**5 + 1/189*u**7 - 3*u + 0 + 1/9*u**2 + 5/27*u**4 + 1/27*u**6. Factor n(d). 2*(d + 1)**5/9 Suppose -23 = -j - c - 3*c, j + c - 29 = 0. Let m = 63/2 - j. Factor 1/2*b**2 + m*b + 0. b*(b + 1)/2 Let m(k) be the second derivative of k**5/25 + 4*k**4/15 - 2*k**3/3 + 4*k - 4. Determine n, given that m(n) = 0. -5, 0, 1 Factor -h + 6 - 9*h**3 - 19*h + 6 + 4*h**2 + 13*h**3. 4*(h - 1)**2*(h + 3) Let a(n) = n**4 - n**2 - n + 1. Let l(f) = 2*f**4 - 5*f**3 + 6*f - 3. Let g(i) = -3*a(i) - 3*l(i). Determine j so that g(j) = 0. -1, 2/3, 1 Let s(u) be the first derivative of 1/3*u**3 + 0*u - 4 - 1/5*u**5 - 1/2*u**4 + u**2. Find a, given that s(a) = 0. -2, -1, 0, 1 Factor 8*s**2 - 1/3 - 5/3*s. (3*s - 1)*(8*s + 1)/3 Let d(j) be the first derivative of -2/15*j**3 + 1 + 0*j**2 + 2/25*j**5 + 0*j + 0*j**4. Factor d(u). 2*u**2*(u - 1)*(u + 1)/5 Let c(p) be the second derivative of -2*p + 9/8*p**5 - 5/8*p**6 + 0 - 3/2*p**3 - 3/2*p**2 + 11/16*p**4. Factor c(j). -3*(j - 1)**2*(5*j + 2)**2/4 Let r = 2616/5 + -523. Factor 1/5*b**3 - 1/5*b + r*b**2 - 1/5*b**4 + 0. -b*(b - 1)**2*(b + 1)/5 Let w(q) be the second derivative of q**4/42 - 2*q**3/7 + 9*q**2/7 - 7*q. Factor w(h). 2*(h - 3)**2/7 Suppose v = -4*v + 15. Factor 3*d**3 + d**4 - 2*d**5 - d**v - d**4. -2*d**3*(d - 1)*(d + 1) Solve 0 - 2/7*r**3 - 8/7*r**4 + 0*r**2 + 0*r - 6/7*r**5 = 0. -1, -1/3, 0 Let d(b) be the first derivative of b**4/6 + 2*b**3/9 + 5. Factor d(g). 2*g**2*(g + 1)/3 Let k(f) be the first derivative of -f**5/10 - f**4/3 + f - 1. Let l(c) be the first derivative of k(c). Let l(r) = 0. What is r? -2, 0 Let b(f) be the third derivative of f**5/420 + f**4/168 - 8*f**2. Suppose b(w) = 0. What is w? -1, 0 Factor 6*y**4 + 0*y**3 + 3 - 2*y - 10*y**2 + 2*y**3 + 4 - 3. 2*(y - 1)*(y + 1)**2*(3*y - 2) Factor -1 + 3/2*x + 5/2*x**2. (x + 1)*(5*x - 2)/2 Let q(r) be the second derivative of -r**4/30 - r**3/15 - 3*r. Factor q(h). -2*h*(h + 1)/5 Let w be (-18)/(2*(-6)/8). Let v = w - 2. Determine f so that -8*f**2 - v*f**2 - 19*f**3 + 5*f**3 - 4*f = 0. -1, -2/7, 0 What is n in -89*n**2 + 90*n**2 - 2*n + 3*n = 0? -1, 0 What is d in -4 - 3*d**2 - 20/3*d - 1/3*d**3 = 0? -6, -2, -1 Let b = -59 + 59. Solve -2/9*m**2 - 4/9*m + b + 2/9*m**3 = 0 for m. -1, 0, 2 Let j(c) be the second derivative of -7*c**6/720 - c**5/120 + c**3/3 - 5*c. Let u(b) be the second derivative of j(b). Suppose u(o) = 0. What is o? -2/7, 0 Let u(g) be the third derivative of g**8/504 - 2*g**7/105 + 11*g**6/180 - g**5/45 - g**4/3 + 8*g**3/9 + 12*g**2. Suppose u(q) = 0. Calculate q. -1, 1, 2 Let x = 70 - 8. Let j = x - 308/5. Factor -2/5*m**2 + 0 - j*m. -2*m*(m + 1)/5 Factor 3*y - 4/3 - 2*y**2 + 1/3*y**3. (y - 4)*(y - 1)**2/3 Suppose 5*u**3 + 3*u**3 + u**3 - 3*u**4 - 3*u**3 = 0. Calculate u. 0, 2 Let h(a) = -15*a**2 + 15*a + 15. Let x(q) = 8*q**2 - 8*q - 7. Let m(u) = 3*h(u) + 5*x(u). Factor m(o). -5*(o - 2)*(o + 1) Solve 10/3*m**2 + 4/3*m + 8/3*m**3 + 0 + 2/3*m**4 = 0. -2, -1, 0 Let d = -9 - -12. Suppose 2 + 3*n**3 - 3*n**d + 2*n - 4*n**3 + 2*n**3 - 6*n**2 + 4*n**4 = 0. What is n? -1, -1/2, 1 Let d = -40/23 + 488/69. Suppose -f**2 - 4/3 - 16/3*f + 7/3*f**4 + d*f**3 = 0. Calculate f. -2, -1, -2/7, 1 Let p be (338/195)/((-8)/(-36)). Factor -12/5 - 3/5*f**4 - 18/5*f**3 - p*f**2 - 36/5*f. -3*(f + 1)**2*(f + 2)**2/5 Suppose -o - 4*q = -2*q - 1, -13 = -5*o - 2*q. Factor -4 + 3*x**4 - 5*x**4 + 4 + 2*x**o. -2*x**3*(x - 1) Let a(t) be the second derivative of -t**4/6 - 10*t**3/3 - 25*t**2 + 8*t. Determine z, given that a(z) = 0. -5 Let q(x) be the third derivative of -x**5/360 - x**4/24 - x**3/4 - 15*x**2. Factor q(c). -(c + 3)**2/6 Let k(j) be the second derivative of -1/30*j**5 - 1/126*j**7 - 1/6*j**2 + 0 - 1/18*j**4 + 1/6*j**3 + 1/30*j**6 - j. Find v, given that k(v) = 0. -1, 1 Let x(q) be the third derivative of -q**5/300 - q**4/20 + 7*q**3/30 + q**2. Determine v so that x(v) = 0. -7, 1 Let p(z) be the third derivative of 0*z + 1/12*z**4 + 0 + 1/6*z**3 + 1/60*z**5 - 2*z**2. Find l such that p(l) = 0. -1 Let o(q) be the second derivative of q**4/30 + 14*q**3/15 + 49*q**2/5 - 34*q. Factor o(z). 2*(z + 7)**2/5 Let z(c) be the third derivative of -c**7/210 - c**6/24 - 7*c**5/60 - c**4/8 - 20*c**2. Determine j, given that z(j) = 0. -3, -1, 0 Let h = 0 + 3. Let n(b) be the second derivative of b**2 - 1/2*b**3 + h*b + 1/12*b**4 + 0. Factor n(j). (j - 2)*(j - 1) Let m(r) = 3*r**2 - 9*r. Let d(g) = 1. Let u(s) = 6*d(s) + m(s). Factor u(w). 3*(w - 2)*(w - 1) Let y be (400/15)/5 + -5. Factor -1/3*x**3 + 2/3*x**2 + 0 - y*x. -x*(x - 1)**2/3 Let c be (4/(-16))/((-2)/(-7)). Let j = 9/8 + c. Determine k, given that j*k + 0 - 3/4*k**2 + 3/4*k**4 - 5/4*k**3 + k**5 = 0. -1, 0, 1/4, 1 Suppose 12*z**3 + 4*z**4 - 4*z**5 + 2338 + 8*z - 20*z**2 - 2338 = 0. Calculate z. -2, 0, 1 Let d(u) be the third derivative of -u**6/50 - u**5/75 + u**4/10 + 2*u**3/15 + 4*u**2. Factor d(p). -4*(p - 1)*(p + 1)*(3*p + 1)/5 Suppose -4/7*v**5 - 2/7*v + 6/7*v**3 + 10/21*v**4 + 4/21 - 2/3*v**2 = 0. What is v? -1, -2/3, 1/2, 1 Factor -28/3*j - 15*j**2 + 49/3*j**4 + 28/3*j**3 - 4/3. (j - 1)*(j + 1)*(7*j + 2)**2/3 Let p(r) be the third derivative of 0*r + 0*r**5 + 0 - 1/300*r**6 - 3*r**2 + 0*r**4 + 0*r**3. Factor p(u). -2*u**3/5 Factor -32/7*r + 4/7*r**2 + 64/7. 4*(r - 4)**2/7 Let y = -7 - -5. Let j be y + 2 - 1/(-2). Factor 9/4*c**2 - 5/4*c**3 + j - 7/4*c + 1/4*c**4. (c - 2)*(c - 1)**3/4 Let n(u) = -u**2 - 1. Let m(k) = 8*k**2 - k + 3. Let v(p) = -m(p) - 6*n(p). Factor v(g). -(g + 1)*(2*g - 3) Let l be 2/(-3) + 77/21. Let k be l + (50/9)/(-2). Factor k*f**2 + 0*f - 2/9. 2*(f - 1)*(f + 1)/9 Suppose 3*g + 0*g + 3*r = 24, g + 5*r = 28. Let f be (g - 0) + -1 + 2. Factor 3*i**3 - 4*i**f + 5*i**4 + i**2 - i**3. i**2*(i + 1)**2 Let g(z) be the first derivative of -9/2*z**4 - 4/3*z**3 + 9*z**2 + 4*z + 2. Solve g(f) = 0 for f. -1, -2/9, 1 Suppose -5*l + 4*l = 2, 4*c + 5*l = -6. Factor -c - 4 - 3 - 2*r**2 + 8*r. -2*(r - 2)**2 Let t = -11/21 - -6/7. Let l = 115/6 + -113/6. Solve -a - l*a**3 + t
{ "pile_set_name": "DM Mathematics" }
36 Let v be ((-2)/(-5))/((-1)/(-20)). Let u = 0 + v. What is the smallest common multiple of 2 and u? 8 Let l = -78581/20 - -3928. Calculate the common denominator of l and 167/(-6) + 1 - -3. 60 Let o = -24/41 - 95/328. Suppose -11*d - 4*c = -7*d + 44, -5*c = -5*d - 25. What is the common denominator of o and d? 8 Let m be (-1)/((-14)/(-8) - 2). Calculate the smallest common multiple of (-16)/(-1) - (1 - 1) and (-7)/(10/m - 3). 112 Suppose -4*j + 12 + 8 = 0. What is the smallest common multiple of j and 4? 20 Let o be (-10)/(-25)*(-10)/(-2). Suppose -k = o*k - 12. What is the least common multiple of k and 2? 4 Let a be (-86606)/6536 + 3 + -3. Let w = 1/1634 + a. Let p = 1453 + -20353/14. Calculate the common denominator of p and w. 28 Let g(v) = 5*v**2 + v - 1. Let w be g(1). Let k = 13 - w. Let q(c) = 5*c - 2. Calculate the least common multiple of k and q(2). 8 Suppose 5*v + 4*k - 395 = 0, 142 - 552 = -5*v - k. Suppose 0 = -f - 3*h + 34, 4*f - 13 - v = -2*h. Calculate the least common multiple of f and 18. 198 Let w(v) = v + 18. What is the least common multiple of (-2 - -1)*(10 - 30) and w(0)? 180 Let y(a) = a**3 - 5*a**2 - a - 6. Let t be y(6). Calculate the lowest common multiple of t/2 + -1 + -1 and 12. 60 Let y be 2 + (-3)/((-6)/(-4)). Let u be (-54)/(-3)*(y - 1). What is the common denominator of (5/u)/(2/(-30)) and 55/2? 6 Suppose 2*o + 2*t = 7*o - 1909158, 5*o - 3*t = 1909162. Let u be (o/48 - -3) + -2. Let d = u - 7958. What is the common denominator of d and 71/16? 48 What is the common denominator of (744/(-32))/(1 + (-2)/(-4)) and 57/28? 28 Let a = 740/301 + -32/43. Suppose 0 = -0*i + 2*i + 4*k - 10, 4*k = 3*i - 25. Find the common denominator of a and -1 + (931/(-6))/i. 42 Let n = -4 - -8. Suppose -11 = -3*w + n. Suppose 2*h + 2*h + 5 = w*j, -3*j + h = -10. What is the smallest common multiple of 9 and j? 45 Let h(m) = 11*m + 8. What is the lowest common multiple of 36 and h(0)? 72 Suppose 10*b - 3*b = 21. What is the least common multiple of b and 54? 54 Suppose 0 = 4*j - 3*d - 23, -4*j - 2*d + 18 = -0*j. Suppose 17*z - 2 = 32. What is the lowest common multiple of z and j? 10 Suppose -1 - 2 = -p. Find the common denominator of -1*((-182)/4 - p) and (-231)/(-2)*1/18. 12 Let q be 18/(-4)*40/6. Find the common denominator of 33/10 and 6/30 - (-211)/q. 30 Let v = 234/89 + 3419/1780. Find the common denominator of v and 1 - 1/(12/214). 60 Find the common denominator of (-202)/30*5/(-6) and (-70)/24 - (13 - 7 - 9). 36 Let r = -1455 - -14497/10. What is the common denominator of (-15 - -1)*(52/(-60) - -1) and r? 30 Let h = 14804/3773 + -5/343. Calculate the common denominator of 42/11 and h. 11 What is the smallest common multiple of (0 + -1 - -3) + 0 + 16 and 48? 144 Let p(n) = -8*n**3. Suppose 3 = -4*k + u, -4*k - u + 1 - 6 = 0. What is the lowest common multiple of p(k) and 2? 8 Calculate the common denominator of 1/((-56)/100) + 1 and -73/22. 154 Let o = 117 - 65. Suppose -3*t + o = 5*c - 6*t, 4*c - 12 = -5*t. Calculate the lowest common multiple of c and 4. 8 Let b = 16003/630 - 1136/35. Let g be (1*-3)/12 + -142. Let c = 5171/36 + g. What is the common denominator of c and b? 18 Calculate the smallest common multiple of 15 and ((-15)/25)/(3/(-45)). 45 Let a be 4/26 + 618/39. Let c = -15 + a. What is the least common multiple of 3 and c? 3 Let s(h) = 7*h**2 - 2*h + 1. Suppose -4*c + 38 - 6 = 0. What is the lowest common multiple of s(1) and c? 24 Let p = 19757/6 - 3268. Let s = -10/133 - 8891/266. Find the common denominator of s and p. 6 Let h = 17/30 + 11/6. What is the common denominator of -63/25 and h? 25 Let k be (36/(-16) + 1)*80. Find the common denominator of -7/10 and k/6*10/24. 90 Let b be 16*(946/948 - 1). Let u = b + -11762/2607. Find the common denominator of 760/(-660)*(1 - 4) and u. 11 What is the common denominator of -26/9 and (-3 - (-51)/(-9)) + 3? 9 Suppose -2*r = -10 - 26. Calculate the lowest common multiple of r and 24. 72 What is the common denominator of -41/18 and (-11224)/4347 - (-1 - 10/(-14))? 54 Let q(f) = f**3 + 5*f**2 + 5*f + 4. Let v be q(-4). Suppose -s + v*s = -14. Calculate the lowest common multiple of s and 18. 126 Let b = 151935/8 + -18953. Let r = 42 - b. What is the common denominator of r and 5/(-14)*26/(-10)? 56 Let n = -2/31719 - -48561805/253752. Let w = n + -197. Calculate the common denominator of 77/8 and w. 8 Suppose 2*g - 38 = -4*i, 7*i = 5*i - 2*g + 18. Let w = 5 + -9. Let j = w + 6. What is the lowest common multiple of i and j? 10 What is the smallest common multiple of 6 and (-3)/(-5) + 570/50? 12 Let i = 2/49559 + 5996619/495590. What is the common denominator of 2/33 + (-4)/(-6) and i? 110 Suppose -l + 97 = 4*a, -4*a = -7*a - 2*l + 79. What is the lowest common multiple of 16 and 4/(4/(-3)) + a? 80 Let q be 1616/(-4540) - (-4)/10. Let o = 14775/454 - q. Calculate the common denominator of -47/6 and o. 6 Suppose 3*u = -5*n + 7939, -5*n - 8196 + 277 = -3*u. Let v = 303751 + -3370354/11. Let g = u + v. Find the common denominator of g and -70/9. 99 Let f(x) = x**3 - 6*x**2 + x - 2. Let r be f(6). Suppose r*s - o + 6 = -0*o, 3*s = -5*o - 16. What is the common denominator of s - (4/10)/(-1) and -45/11? 55 Suppose -99 = -57*b + 56*b. What is the smallest common multiple of 3 and b? 99 Let v = -1085 + 8641/8. Let s = -17766 + 319699/18. Find the common denominator of s and v. 72 Let g = -4765/9 + 1594/3. What is the common denominator of 53/2 and g? 18 Let v(x) = 0 - 114*x**2 - 1 - 14*x + 13*x. Let g be v(-2). Let j = -875/2 - g. Calculate the common denominator of j and 131/6. 6 Suppose 0 = 5*z - 4*q - 47, 5*z - 36 = -3*q - 10. Suppose 8*t - 20 = 52. Calculate the smallest common multiple of z and t. 63 Let g be ((-1)/4)/(137/(-12)). Let q = g + 3669/1370. What is the common denominator of q and -7/6? 30 Calculate the smallest common multiple of -3*(0 - -1)*-1 and 17. 51 Let a = 935/52 - 42/13. Find the common denominator of 44/7 and a. 28 Let k(i) = i**3 - 6*i**2 + 6*i + 5. Suppose c + 5 = f, -4*c = -2*f - 3*f + 25. What is the least common multiple of k(f) and 2/(-8) - 89/(-4)? 110 Let l = 9763 + -175651/18. What is the common denominator of -47/3 and l? 18 Let a = -10 - -15. Suppose a = t - 3. Suppose -80 = 3*h - 7*h. Calculate the lowest common multiple of h and t. 40 Let o(p) = p + 5. Let u be o(-5). Let z(n) = -n**2 + 12. What is the least common multiple of 8 and z(u)? 24 Let c be 105/12 + 1/4. What is the common denominator of 2 + 21/44*-2 and ((-2)/(-4))/(c/61)? 198 Suppose 0 = -5*k + 3*n - 267, -3*k = -4*n + 74 + 84. Let q = -638/5 - -5279/40. What is the common denominator of ((-16)/k)/4*-24 and q? 72 Let f be (-18)/(-291)*(-11747)/(-220). Let b = f - 3/1067. Let z = 31129/11 + -2828. What is the common denominator of b and z? 110 Let w = -33137/4188 - 3/698. Find the common denominator of w and 6669/(-1430) - ((-16)/20)/(-4). 132 Let l be (-7778)/(-45)*(-10)/(-40). Let i = l - 487/9. What is the common denominator of i and 167/30? 30 Let y = 29941/12 + -2488. What is the common denominator of -49/4 and y? 12 Let d = 571 + -5729/10. Find the common denominator of (-1)/(4/20 + 63/(-565)) and d. 10 Let n = -658 - -11753/18. What is the common denominator of n and (-4)/(-8)*(-53)/(-8)? 144 Suppose 0 = o + o - 4. Suppose -4*l + 6 = 3*u - 8*u, o*l = 3*u + 2. What is the lowest common multiple of l and 22? 44 Suppose 3*l + 2*l + 31405 = 0. Let j = l + 138247/22. What is the common denominator of j and -11/10? 110 Suppose 0 = 2*c - 4*c + 14. Let g = 0 + 10. Suppose 8 = r + r, 2*y + g = 5*r. What is the least common multiple of y and c? 35 Let b = 105 + -50. Calculate the smallest common multiple of b and 25. 275 Let d(a) = a**3 + 5*a**2 - a - 5. Let w be d(-5). Suppose 6*f - f - 100 = w. Calculate the lowest common multiple of f and 2/8 - (-23)/4. 60 Let r = 30 + -13. Suppose -5*a + r = -28. What is the least common multiple of a and 2? 18 Let w = -7 - -2. Let q = 1 - w. What is the smallest common multiple of q and 1? 6 What is the lowest common multiple of (-2*1)/(5/(-20)) and 20? 40 Suppose 5*g - 3*g = 16. Calculate the least common multiple of g and 9. 72 Let p(b) = -6*b - 1. Let x(a) = -17*a - 4. Let r(n) = 8*p(n) - 3*x(n). Calculate the lowest common multiple of
{ "pile_set_name": "DM Mathematics" }
2 + 0)*(-1 + 1 - 2*s**2)). -4*s**5 Expand (-s**3 - s**3 + 0*s**3)*(-3*s**2 + 3*s**2 - 3*s**2) - s**2 + 5*s**5 - 2*s**5 - 2*s**5. 7*s**5 - s**2 Expand (c**2 - 2*c**2 + 3*c**2)*(1 + 0 - 17). -32*c**2 Expand (d - d - 2*d**4)*(-28*d + 30*d - 7 + 1). -4*d**5 + 12*d**4 Expand (-2*j + 0*j - 2*j)*((2*j - j - 2*j)*(-1 + 3 - 3) - 4*j + 6*j + j)*(2 - j - 2). 16*j**3 Expand (2 - 5 + 4)*((2*l - 5*l + 5*l)*(-l - 1 + 1) - l**2 + 3*l - 3*l + 1 + 5*l**2 - 1). 2*l**2 Expand (-2*m + 0*m + 0*m)*(13*m**2 + 7*m**2 + 5*m**2 - m**4). 2*m**5 - 50*m**3 Expand (2 + 0 - 1)*(10 + 12 + 23)*(3*t**2 + 3*t**2 - 7*t**2). -45*t**2 Expand (-2 + 2*r + 2)*(3 - 3 + 1) + (-1 + 3 - 1)*(3 + 2 + r - 2). 3*r + 3 Expand -6*g + 0*g + 3*g + (-4 + 0 + 2)*(-2*g + 2*g + 2*g) + 2*g - 4*g + 0*g. -9*g Expand (1 + p - 1)*(-2 + 2 + 3). 3*p Expand (3*p + 0*p - p)*((2*p - 1 + 1)*(-1 - 1 + 3) - 4*p - 2*p + 5*p + 0 - 2*p + 0 + 15*p - 7*p + 14*p). 42*p**2 Expand (3*b - 4*b + 3*b + (1 + 1 - 4)*(-3*b - b + 2*b))*(0 + b + 0 + (2*b - 4 + 4)*(-3 + 0 + 2) - 2 - 2*b + 2). -18*b**2 Expand (-2 + 0*i + 0 + i)*(-1 + 2 + 0 + (5 - 4 + 1)*(-3 - 1 + 2)). -3*i + 6 Expand -4*n**2 + 3*n**2 + 0*n**2 + (-n - n + 3*n)*(7*n - 2*n + 2*n) + 3*n**2 - 3*n**2 - n**2 + 2*n**2 - 3*n**2 + 2*n**2. 6*n**2 Expand (-1 + r**2 + 1)*(9*r - 2*r**2 + 4*r**2 - 11*r). 2*r**4 - 2*r**3 Expand -17*o**3 - 18*o**3 - 59*o**3 + (0*o + 2*o + 0*o)*(2*o**2 - 3*o**2 + 0*o**2). -96*o**3 Expand (-4 + 3 + 0)*(2*d - 2*d + d)*(-1 + 1 - 2). 2*d Expand 2*v + 0*v - 4*v + (-2*v + 4 - 4)*(2 - 1 - 3). 2*v Expand (274*w - 274*w + 40*w**2)*(-5*w + 2*w + 0*w) + 2*w**3 - 7*w**3 + 4*w**3. -121*w**3 Expand 2*a - a - 4*a + (2 - a - 2)*(2 + 0 - 1) - 2*a - a + 5*a - 2*a + a + 2*a. -a Expand (-2*h**2 - 4*h**2 + 4*h**2)*(-2*h - 1 + 1)*(-2 - h + 2). -4*h**4 Expand (3*y - 6*y + 2*y)*(-6*y + 25*y + 8*y)*(4*y + 0*y - 5*y). 27*y**3 Expand (18*r**3 - 43 + 43)*(-r - 3*r + 2*r). -36*r**4 Expand (0*h - 2*h + 3*h)*(h**4 - 3*h**4 - 7*h**3 + h**4). -h**5 - 7*h**4 Expand (-3*n - 2*n + 4*n + (0*n + n - 2*n)*(3 + 1 - 2) - n - n + 3*n)*(-3*n**4 + 19*n**2 - 19*n**2). 6*n**5 Expand (-i - i**2 + 0*i + 3*i**2)*(-3*i - 3*i + 5*i)*(3*i - 2*i - 2*i). 2*i**4 - i**3 Expand 5*s - 2*s - s + (1 - 1 + 2)*(3*s + 0*s - 2*s) + 0 - 2*s + 0 + 1 - 1 + s + (2 - 5 + 1)*(-s + 3*s - 4*s) + 1 - 1 - 2*s + 2*s - s + s. 7*s Expand (5*g - 3*g - 3*g)*((-g - g + 4*g)*(-3*g + g + 4*g) + (4*g - g + 2*g)*(2*g - 4*g + g)). g**3 Expand (x**3 + 2 - 2)*(-5 + 5 + 2) + 116*x**3 + 827*x - 827*x + (5 + 2*x**2 - 5)*(-2*x - 2*x + 5*x). 120*x**3 Expand (-3*d + 0*d + d)*(60*d**2 + 56*d**2 - 3*d**3 - 111*d**2). 6*d**4 - 10*d**3 Expand (-2 - 7 + 8 + 7*k)*(-4*k**2 - 2*k**2 + 3*k**2). -21*k**3 + 3*k**2 Expand -12*u**2 - 176*u + 176*u + (-3 + 2*u + 3)*(-u - 4*u + 3*u) - 1 + 1 - u**2. -17*u**2 Expand (2*s - 2*s + 1 - s)*(3 + 2 - 2)*(-4*s + 3*s - s). 6*s**2 - 6*s Expand (0 - 1 + 0)*(-6 + 4 + 4)*(-d - 1 + 1)*(-1 - 2*d + 1)*(d + 4*d - 10*d). 20*d**3 Expand -u + 3*u**5 + u + (u**4 - 1 + 1)*(1 - 2*u - 1) + 3*u**5 - 2*u + 2*u. 4*u**5 Expand -8*s**4 + 4 - 4 + (0*s - s + 0*s)*(-s**3 + s**3 - 2*s**3). -6*s**4 Expand (-y**3 + 6*y**3 - 2*y**3 - y**3 - 2*y**3 + 5*y**3 + (4*y**2 - y**2 - 2*y**2)*(-y - 2 + 2))*(-5*y + 4*y + 2*y)*(-3*y - 10 + 10). -12*y**5 Expand (-q + q - q)*(q + 3*q - 3*q) + 4*q**2 - 4*q**2 + 3*q**2. 2*q**2 Expand -4*n**3 + 3*n**3 + 0*n**3 + 0*n**3 + n**3 + n**3 + (-n - 2*n + 5*n)*(n**2 + 0*n**2 - 3*n**2) - 2*n**3 + n**3 - n**3. -5*n**3 Expand ((3 + 2*r - 3)*(-r + 1 - 1) - r**2 + r**2 + r**2)*(17*r + 57 - 57). -17*r**3 Expand 3 + 4*u - 3*u + 0*u - 2*u - u - 8*u + (-2 - 1 + 1)*(-u - u + 0*u). -6*u + 3 Expand (-6 - 3 - 4)*(-2*a + a + 2*a) - 1 + 3*a + 1. -10*a Expand -6*c**2 + 3*c**2 + 2*c**2 + (-2*c**2 + 2 - 2)*(3 + 2 - 3) - 4*c**2 - 5*c + 5*c. -9*c**2 Expand (-10*w + 3 - 3)*(-5*w - 2*w + 5*w)*(-6*w + 2*w + 3*w + (2 - 3 + 2)*(-4*w + 3*w - w)). -60*w**3 Expand (-4*g**2 - g**2 + 3*g**2 - g)*(-31*g - 36*g + 9*g). 116*g**3 + 58*g**2 Expand (-p**4 + 0 + 0)*(11 + 2 + 8)*(0*p + p + p). -42*p**5 Expand (-35*f + 3*f**2 + 35*f)*(-4*f + 4*f + f)*(1 + 2 - 4). -3*f**3 Expand (7 - 1 - 4)*(-4*d**3 + 4*d**3 - d**3 + (d**2 - 2*d**2 - d**2)*(-5*d + d + 2*d)) - 2*d**3 - 2*d**3 + 2*d**3. 4*d**3 Expand 2 - 4 - d**3 - d**3 + (-2*d + 2*d + d)*(3*d**2 + 3*d - 3*d). d**3 - 2 Expand -15*b + 0*b**5 + 14*b - 2*b**5 + (3 + 3 - 5)*(-3*b**5 + 4*b**3 - 4*b**3). -5*b**5 - b Expand (-3*q + 9*q + 6*q)*(1 - 5 + 2 + q)*(5 - 2 - 4). -12*q**2 + 24*q Expand (3*u + 2 + 0 - 9*u)*(0 + 0 - 2*u**3). 12*u**4 - 4*u**3 Expand j**4 - 24*j + 25*j + 2*j**5 - 4*j**5 + (j**2 - 3 + 3)*(-j**3 + 3 - 3). -3*j**5 + j**4 + j Expand g**3 - 3*g**3 + 4*g**3 + (-3*g**3 + 2*g**3 + 3*g**3)*(0 - 1 + 2) + 2 + g**3 - 2 - 3*g**3 + g**3 + g**3 + (-2*g + 2*g - 2*g**2)*(3*g - g + g). -2*g**3 Expand (0*f + f - 2*f)*(-f**3 + f**3 + 2*f**3) - 3*f**3 + 3*f**3 + f**4. -f**4 Expand (4*s**2 - s**2 - 2*s**2)*(-4*s**2 - 5*s**2 + 2*s**2). -7*s**4 Expand (5*d**3 - 2*d**3 - 2*d**3)*(d**2 - d + d + 0*d**2 + 0*d**2 - d**2 + (d - 4*d + 2*d)*(2*d - 3 + 3) + 2*d**2 - d**2 - 2*d**2 - d**2 + d**2 - d**2). -4*d**5 Expand (h - 2*h - 4*h)*(-3*h - 3*h + 4*h) - 2*h + 4*h**2 + 2*h. 14*h**2 Expand (7*t**2 + t**2 - t - 4*t**2)*(2*t**3 + 0*t**3 + 0*t**3). 8*t**5 - 2*t**4 Expand (l + 1 - 1)*((1 - 1 - 1)*(-2 - 1 + 0) - 2 + 5 - 2 + (-2 + 2 - 1)*(0 - 1 + 2) - 1 + 4 - 2). 4*l Expand (3*n - n - 4*n)*(0*n**2 - n**2 + 0*n**2) + (2*n**2 - 1 + 1)*(2 - 2*n - 2) + 1 - n**3 - 1 - 3*n**3 + n**3 + 4*n**3. -n**3 Expand (100*a**2 - 2*a - 108*a**2 + 3*a)*(2*a - 2*a**3 - 2*a). 16*a**5 - 2*a**4 Expand (-2 + 2 - 3)*(4 - 15 - 5)*(0*u - 3*u + u). -96*u Expand (0*l - l + 0*l)*(4*l**3 - 3*l**3 - 3*l**3) + 2 + 2*l**4 - 2 - 2*l + 2*l**2 - 3*l**2 - 2*l**3 + 2*l**2 - l**4. 3*l**4 - 2*l**3 + l**2 - 2*l Expand -q + 2*q - 2*q + (2*q + 0 + 0)*(-5 + 1 + 6). 3*q Expand -2*k**3 + 4*k**3 - k**3 + (-4 + 3 + 2)*(3*k**3 - k**3 + k**3). 4*k**3 Expand (-1 - 1 - 2)*(-1 + 7 - 3)*(3*g**2 + 2*g**2 - 6*g**2). 12*g**2 Expand (2*u**5 - u**5 + 0*u**5)*(-2 + 2 + 1) - 37*u**5 - 92*u**5 + 5*u**5. -123*u**5 Expand -1 + 1 + h**4 + 7*h**4 - 5*h**4 + 7*h**4 + (-h**3 + 1 - 1)*(0 + 0 + 2*h). 8*h**4 Expand (u + u - u)*(6*u**3 - 2*u**2 + 2*u**2)*(0*u + 7*u - u). 36*u**5 Expand (-6*w + 0*w - 2 + 5*w)*(w + 3*w - 2*w)*(0*w + 9*w + 4*w). -26*w**3 - 52*w**2 Expand (-t - 2*t**2 + t + 0*t**2 - t**2 + 0*t**2 + (5*t - t - 2*t)*(-3*t + 4*t + t) - 3*t + 3*t - 3*t**2)*(5*t + 8*t - 11*t + 5). -4*t**3 - 10*t**2 Expand (0*t**2 - t**2 - 3*t**2)*(-4*t + 3*t + 3*t)*(0*t - t - t). 16*t**4 Expand (-1 - 1 + 6)*(-4*p**2 + p**2 + 2*p**2 + 5*p)*(-2*p + p - p). 8*p**3 - 40*p**2 Expand -y**3 + 4*y**3 - 5*y**3 + (-y**2 + y**2 + y**3)*(1 - 5 + 3) - 2 - 4*y**2 + 4*y**2 - 4*y**3. -7*y**3 - 2 Expand (4*b - b - 4*b + 2)*(-3*b + 3 - 3). 3*b**2 - 6*b Expand (-6*i + 5*i + 0*i + (-2 - i + 2)*(1 + 3 - 6))*(0*i - 2*i - i). -3*i**2 Expand -t**5 + 0*t**5 - t**5 + (2*t - 2*t + 3*t)*(-t**4 + 2*t**4 + t**4) - 3*t**5 + t**3 - t**3 + 3*t**3 - t + 3*t**5 - 3*t**3. 4*t**5 - t Expand (-2 - 1 + 1)*(-z**4 - z**2 + z**2 + (z**4 + 3*z**4 + z**4)*(1 - 2 + 0)). 12*z**4 Expand (4*s**2 - s**2 - 2*s**2)*(-3*s**2 + 3*s**2 - 2*s**2 + (s - s - 2*s)*(s - 2*s + 2*s) - 2*s**2 + s**2 + 2*s**2 + 3 - 3 + s**2) - 4*s - 2*s**4 + 4*s. -4*s**4 Expand p**2 + 3*p**2 - 5*p**2 + (4*p - 4*p - p)*(0 + 0 + 5*p). -6*p**2 Expand (-t + 3*t + 2 + 0)*(4*t - t - 5*t). -4*t**2 - 4*t Expand -8*p**2 + 8*p**2 + 2*p**5 + (0*p + 3*p - 2*p)*(p**4 + 0*p**3 + 0*p**3). 3*p**5 Expand (4 + 2*u - 3 + u)*(38 + 10*u - 38). 30*u**2 + 10*u Expand (3*l**4 - 5*l**4 - 6*l**4)*(-10 + 8 + 12). -80*l**4 Expand 4*m**2 + 4*m - 5*m**3 - 3*m**2 + 4*m**3 + (2*m**3 - 3*m**3 + 2*m**3)*(8 - 3 + 6). 10*m**3 + m**2 + 4*m Expand (-12 - 25 + 14)*(1 - 1 - 2)*(2*k + 0*k - k). 46*k Expand (-4 + 1 + 4)*(-4*m + m - m) - 1 - 2*m + 1 + (3*m - 2*m - 2*m)*(-1 + 1 - 2). -4*m Expand -9*r**4 + 9*r - 9*r + (6*r**4 - 4*r**4 - 4*r**4)*(-3 + 3 + 1) - 2 + 3*r**4 + 2 - r**4 + 0*r**4 + 2*r**4. -7*r**4 Expand (2*u + 9*u - 2*u)*(5 - 3 + 0)*(0*u + 0*u + u - 2*u + 3*u - 3*u + (2 - 2 + 2)*(2*u - 6*u + 2*u)). -90*u**2 Expand -4*d + d**2 + 4*d + 2*d**2 - 2*d**2 - 3*d**2 + (-2*d**2 + 2*d**2 + d**2)*(-3 + 1 + 1). -3*d**2 Expand (-2*f**2 - 2*f**2 + 3*f**2 + 1)*(183 - 2*f**3 - 183). 2*f**5 - 2*f**3 Expand (1 - 2 + 2)*((-2 + 2 - 2*h)*(2
{ "pile_set_name": "DM Mathematics" }
28. -39637/14 Calculate 1370088 divided by 12. 114174 Calculate 442647 divided by 147549. 3 Divide -158300 by -5. 31660 55 divided by -87 -55/87 Divide -3743204 by 4. -935801 Divide 114748 by 28687. 4 Divide -10890 by 10. -1089 What is 169194 divided by 3? 56398 Calculate -172403 divided by 2. -172403/2 Calculate 286205 divided by -1. -286205 Divide 921902 by 5. 921902/5 Calculate 61160 divided by -110. -556 What is 42921 divided by -6? -14307/2 -54008 divided by -314 172 Calculate 4654 divided by 3. 4654/3 Calculate -3 divided by -15212. 3/15212 400905 divided by -755 -531 What is 12445 divided by -5? -2489 Calculate -660 divided by -5. 132 -59558 divided by 97 -614 Calculate 19090 divided by -2. -9545 What is -1 divided by 516457? -1/516457 What is -38065 divided by -7613? 5 Calculate -5856160 divided by 1171232. -5 4785 divided by 65 957/13 63747 divided by -2 -63747/2 Calculate 23808 divided by -5. -23808/5 Divide 104755 by -41. -2555 What is -411255 divided by -1665? 247 Calculate 151280 divided by 488. 310 Calculate -101 divided by 6023. -101/6023 Divide -135 by -1. 135 Calculate -1 divided by 4872. -1/4872 -274253 divided by 4 -274253/4 Calculate 48 divided by -5802. -8/967 Divide -42492 by 14164. -3 Calculate -200 divided by -9780. 10/489 Divide -90834 by 45417. -2 What is -3 divided by 9272? -3/9272 Divide 1 by 25088. 1/25088 What is 60441 divided by 3? 20147 -167072 divided by -4 41768 Divide -144025 by 144025. -1 Divide -12264 by 12. -1022 What is -1431413 divided by 5? -1431413/5 What is -227 divided by 420? -227/420 -246279 divided by 17 -14487 Divide -65775 by 13155. -5 -38 divided by 39424 -19/19712 Calculate 76 divided by 12177. 76/12177 Divide -2 by 349613. -2/349613 Calculate -75692 divided by -14. 37846/7 Divide 795665 by -159133. -5 What is -46693 divided by -20? 46693/20 Calculate 510606 divided by -255303. -2 Calculate -2598500 divided by -2. 1299250 Divide 851115 by 37005. 23 -3 divided by -37058 3/37058 Calculate 9 divided by 6944. 9/6944 Calculate 130880 divided by -80. -1636 What is 1 divided by 1169? 1/1169 Calculate 17680 divided by 2210. 8 Calculate -914529 divided by -11. 83139 Divide 305496 by 101832. 3 Calculate -84816 divided by 124. -684 What is -118404 divided by -3036? 39 Calculate -13288 divided by 20. -3322/5 Calculate -9625 divided by 5. -1925 188475 divided by -2513 -75 Divide 1525 by 10. 305/2 -29 divided by -2384 29/2384 Calculate -14181 divided by -4727. 3 Calculate -124236 divided by 58. -2142 41998 divided by -253 -166 What is 106640 divided by -5? -21328 Calculate 167 divided by -1818. -167/1818 59 divided by -3779 -59/3779 What is 1545 divided by 678? 515/226 Calculate -2 divided by -99069. 2/99069 What is 8000 divided by -25? -320 Divide 95925 by -25. -3837 Calculate 11 divided by 21919. 11/21919 Divide -83 by -191. 83/191 Divide -3 by -14207. 3/14207 What is 2 divided by -876? -1/438 Calculate 7 divided by -5805. -7/5805 Calculate -201 divided by 64. -201/64 Calculate -9166610 divided by -73. 125570 Calculate 1442 divided by 1. 1442 Calculate 3 divided by 503385. 1/167795 What is 21 divided by 834? 7/278 -4376 divided by -190 2188/95 Divide -42955 by 605. -71 Calculate 0 divided by 4634. 0 Calculate -78010 divided by 2. -39005 -276399 divided by 5 -276399/5 What is 697890 divided by -258? -2705 What is 44432 divided by 11108? 4 Divide 104679 by 13. 104679/13 What is -1307572 divided by 1? -1307572 What is 84730 divided by -16946? -5 Calculate -1688 divided by 8. -211 -504030 divided by 3 -168010 -19 divided by 57154 -19/57154 Divide -20216 by 56. -361 What is 55964 divided by -823? -68 Calculate -17616 divided by -734. 24 What is -2 divided by -12792? 1/6396 Divide -16147 by -1. 16147 What is -60268 divided by -3172? 19 What is 10 divided by -2613? -10/2613 What is -9 divided by -23297? 9/23297 What is 6195 divided by -1239? -5 Divide 134 by 7761. 134/7761 What is 74 divided by -3957? -74/3957 What is -79296 divided by 56? -1416 Calculate -26 divided by -1328. 13/664 What is 103325 divided by -20665? -5 Divide -976316 by -4. 244079 What is 3076626 divided by 5? 3076626/5 Divide 34 by 203749. 34/203749 What is 0 divided by -4491? 0 3 divided by 664973 3/664973 Calculate 13010 divided by 1. 13010 Calculate 1065 divided by 296. 1065/296 567042 divided by -1 -567042 Divide 107148 by 3. 35716 15330 divided by 1 15330 Calculate 38 divided by -23892. -19/11946 What is 1 divided by 35790? 1/35790 What is -27056 divided by 304? -89 Divide -44252 by -11063. 4 What is -30062 divided by 5? -30062/5 Divide 4 by 48865. 4/48865 31 divided by 1409 31/1409 What is -65226 divided by -21742? 3 What is -69400 divided by 100? -694 Calculate -8185 divided by -4. 8185/4 Divide 626 by 3. 626/3 Divide -114504 by 4404. -26 Divide 0 by 71212. 0 Divide 1360656 by -7731. -176 Calculate 3432 divided by 858. 4 -385920 divided by 5 -77184 Divide -722 by -36. 361/18 Calculate -61 divided by -1398. 61/1398 What is 23 divided by 10473? 23/10473 Calculate -1022186 divided by 22. -46463 12882 divided by 114 113 6752 divided by -1688 -4 1311 divided by 112 1311/112 What is 1128 divided by -22? -564/11 Divide -54694 by -41. 1334 What is 1613184 divided by -1? -1613184 Divide 34365 by 11455. 3 Calculate -25284 divided by -6321. 4 Divide 185334 by 10902. 17 28361 divided by -79 -359 What is 714483 divided by -64953? -11 Calculate 37785 divided by 3. 12595 Calculate 4 divided by 167868. 1/41967 Divide 110 by 66. 5/3 Calculate 418 divided by -116. -209/58 -98244 divided by 24561 -4 What is -92528 divided by -1? 92528 Divide 9994 by 255. 9994/255 What is 2 divided by -230383? -2/230383 -2 divided by -431 2/431 1219400 divided by -325 -3752 Divide 1473 by 12. 491/4 What is 7858 divided by -5? -7858/5 4343184 divided by -180966 -24 What is 275808 divided by 8? 34476 Calculate -243 divided by 55. -243/55 746 divided by -28 -373/14 Divide 981 by -16. -981/16 What is -23670 divided by 8? -11835/4 What is 0 divided by 9269? 0 Calculate -1297 divided by -134. 1297/134 Calculate 50800 divided by -5080. -10 Divide 23232870 by -6. -3872145 Divide 11970 by 45. 266 358182 divided by 3618 99 Divide -32580 by 8145. -4 -914562 divided by 99 -9238 What is -25428 divided by -2119? 12 What is -302 divided by 21? -302/21 Divide -245037 by 3. -81679 What is -860175 divided by 19115? -45 Calculate 956 divided by -3. -956/3 Divide -219894 by 5. -219894/5 Divide -7386 by 6. -1231 Divide -7651 by 7. -1093 What is 1090400 divided by -43616? -25 -9388 divided by -4694 2 Calculate 805248 divided by 22368. 36 Divide 95 by -788. -95/788 Calculate -510340 divided by 1615. -316 1781818 divided by 991 1798 What is -337944 divided by 4? -84486 What is 403827 divided by -2? -403827/2 What is -4 divided by 10367? -4/10367 2 divided by 65598 1/32799 Calculate 13653 divided by -37. -369 Calculate 205020 divided by -180. -1139 -1204606 divided by -2782 433 156360 divided by -12 -13030 What is 128175 divided by 3? 42725 Divide -8574 by 3. -2858 Calculate 5520 divided by 291. 1840/97 Divide -6918 by -1. 6918 What is 4350960 divided by 120860? 36 Divide -678986 by 30863. -22 200144 divided by 6 100072/3 Divide -4370 by -4370. 1 What is -16894 divided by -65? 16894/65 Calculate 641760 divided by -80. -8022 56268 divided by -3 -18756 1830 divided by 3 610 403200 divided by 25200 16 Divide -39504 by -13168. 3 2 divided by -30418 -1/15209 -34399 divided by 41 -839 Divide 69405 by -35. -1983 What is 0 divided by -74031? 0 What is 210126 divided by 7? 30018 Calculate -3 divided by 12705. -1/4235 What is 114631 divided by -1? -114631 What is 3213440 divided by -2? -1606720 Divide 270 by 183. 90/61 What is 25 divided by -11416? -25/11416 -4458556 divided by 2 -2229278 Calculate 163 divided by -88. -163/88 Divide -55832 by 1994. -28 What is 363 divided by 7625? 363/7625 -1032 divided by 8 -129 -29801 divided by 29801 -1 What is 0 divided by 27636? 0 Divide -476 by -49. 68/7 Divide 19 by 8110. 19/8110 What is 386188 divided by -737? -524 2168325 divided by 3771 575 Divide 12565 by -2. -12565/2 Divide 1 by 444774. 1/444774 Calculate 556 divided by 268. 139/67 What is 10521772 divided by 4? 2630443 Divide 156 by -224. -39/56 -3215 divided by 80 -643/16 Divide 141 by -88. -141/88 What
{ "pile_set_name": "DM Mathematics" }
picking 2 e when two letters picked without replacement from {q: 2, i: 1, e: 4}. 2/7 Calculate prob of picking 2 j and 1 l when three letters picked without replacement from {l: 2, j: 2, d: 1}. 1/5 What is prob of picking 4 c when four letters picked without replacement from {c: 11, i: 1}? 2/3 Four letters picked without replacement from {n: 5, y: 1, e: 2, m: 4, t: 2}. What is prob of picking 2 e and 2 t? 1/1001 Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {p: 2, t: 3, a: 1, w: 6, h: 2}. 3/182 Four letters picked without replacement from ilvlvizlwzizdliziili. What is prob of picking 1 v, 1 l, 1 w, and 1 z? 8/969 Two letters picked without replacement from {t: 5, x: 5, v: 4}. What is prob of picking 2 x? 10/91 What is prob of picking 1 u and 2 g when three letters picked without replacement from uggqqu? 1/10 Calculate prob of picking 2 e when two letters picked without replacement from veqvvqqveqqeqeleevq. 5/57 Three letters picked without replacement from gxggggggggxg. What is prob of picking 2 x and 1 g? 1/22 What is prob of picking 3 u and 1 t when four letters picked without replacement from {v: 3, t: 6, f: 2, u: 4, o: 1}? 6/455 Three letters picked without replacement from ttbkkhkbhctbibb. What is prob of picking 1 i, 1 h, and 1 t? 6/455 Calculate prob of picking 3 x when three letters picked without replacement from {b: 5, x: 8, s: 3}. 1/10 What is prob of picking 1 m and 1 y when two letters picked without replacement from yeuymuy? 1/7 Two letters picked without replacement from uohh. Give prob of picking 1 o and 1 h. 1/3 Two letters picked without replacement from mymxj. What is prob of picking 1 x and 1 y? 1/10 Four letters picked without replacement from ziziyiiyzyizii. Give prob of picking 3 i and 1 z. 20/143 What is prob of picking 3 e when three letters picked without replacement from {m: 8, e: 3}? 1/165 Four letters picked without replacement from {n: 3, l: 8}. What is prob of picking 4 l? 7/33 Calculate prob of picking 2 a and 1 j when three letters picked without replacement from {a: 7, j: 5, d: 1, t: 1, u: 2}. 3/16 Two letters picked without replacement from owyyaqw. Give prob of picking 2 y. 1/21 Three letters picked without replacement from {n: 3, v: 7, a: 2}. Give prob of picking 2 n and 1 v. 21/220 Calculate prob of picking 4 t when four letters picked without replacement from ttwwwttwttt. 7/66 Four letters picked without replacement from ngllnlnflgp. What is prob of picking 3 l and 1 n? 2/55 Two letters picked without replacement from {j: 2, u: 1, s: 2, h: 1}. What is prob of picking 2 j? 1/15 Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, y: 2, z: 7}. 4/91 Calculate prob of picking 1 y, 1 f, and 1 k when three letters picked without replacement from yfytffffkffwyytyfy. 1/17 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {k: 3, p: 1, c: 1}. 1/10 What is prob of picking 1 y and 1 r when two letters picked without replacement from ryrrkrrhrrrry? 3/13 Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyy. 1 Calculate prob of picking 1 q and 2 d when three letters picked without replacement from ddoppqpxpoddpqdpq. 3/68 Calculate prob of picking 1 r and 3 c when four letters picked without replacement from {g: 5, r: 1, l: 1, c: 3, o: 1}. 1/330 What is prob of picking 4 v when four letters picked without replacement from vrrrvvrrrvvrrvrv? 1/52 Calculate prob of picking 2 d when two letters picked without replacement from rrrrrddr. 1/28 Calculate prob of picking 1 v and 2 r when three letters picked without replacement from rqqqrvvrvqqvvrrvvvqq. 4/57 Two letters picked without replacement from qqvvvfqfqv. Give prob of picking 2 v. 2/15 What is prob of picking 1 c and 1 o when two letters picked without replacement from wcodvwcwwooodww? 8/105 Two letters picked without replacement from gkg. What is prob of picking 1 k and 1 g? 2/3 Calculate prob of picking 2 p, 1 m, and 1 t when four letters picked without replacement from {p: 6, m: 3, t: 1, u: 4, j: 2}. 9/364 Four letters picked without replacement from {y: 4}. Give prob of picking 4 y. 1 Three letters picked without replacement from rpamqmr. Give prob of picking 1 a, 1 p, and 1 m. 2/35 Two letters picked without replacement from vyvvvvyvftvt. Give prob of picking 1 y and 1 v. 7/33 Three letters picked without replacement from rrrqggrrrreg. What is prob of picking 1 g, 1 q, and 1 e? 3/220 Two letters picked without replacement from {v: 2, z: 4, f: 4, c: 6, e: 2, d: 2}. Give prob of picking 1 v and 1 z. 4/95 What is prob of picking 1 s and 1 p when two letters picked without replacement from fyfsyppss? 1/6 Three letters picked without replacement from dddjmdhhddhj. What is prob of picking 1 m and 2 h? 3/220 What is prob of picking 1 q and 1 v when two letters picked without replacement from wyqvztyqwqttwyyyw? 3/136 Two letters picked without replacement from {z: 1, o: 1, j: 1, a: 1, q: 1}. What is prob of picking 1 a and 1 q? 1/10 Three letters picked without replacement from {s: 1, t: 3, i: 1}. What is prob of picking 2 t and 1 i? 3/10 Three letters picked without replacement from {t: 1, v: 2, k: 3, b: 1, m: 3}. What is prob of picking 1 v and 2 k? 1/20 Calculate prob of picking 1 x, 1 y, and 2 v when four letters picked without replacement from {v: 2, y: 1, x: 2}. 2/5 What is prob of picking 1 f and 1 b when two letters picked without replacement from fbkkbfii? 1/7 What is prob of picking 2 b when two letters picked without replacement from bbbbbbbbbbbbcbbbbbcb? 153/190 Four letters picked without replacement from aqaqaaaa. What is prob of picking 1 q and 3 a? 4/7 Calculate prob of picking 1 p, 1 k, and 1 s when three letters picked without replacement from pkppppsssc. 1/8 Two letters picked without replacement from {m: 2, a: 1}. Give prob of picking 1 a and 1 m. 2/3 What is prob of picking 1 t, 2 u, and 1 x when four letters picked without replacement from uxxxxxxxxxuuxxtuuxt? 20/323 Two letters picked without replacement from {d: 13, b: 2, g: 5}. What is prob of picking 1 d and 1 b? 13/95 Three letters picked without replacement from {l: 2, j: 5, p: 9}. Give prob of picking 2 p and 1 l. 9/70 Four letters picked without replacement from {k: 1, z: 2, q: 11, i: 1, r: 2, v: 2}. Give prob of picking 1 r and 3 q. 55/646 Two letters picked without replacement from nnrnruruuruyr. What is prob of picking 1 n and 1 u? 2/13 Two letters picked without replacement from vzzhvhzzczvh. Give prob of picking 1 h and 1 c. 1/22 What is prob of picking 3 e when three letters picked without replacement from {u: 3, e: 4, z: 6, q: 1}? 1/91 Calculate prob of picking 1 o and 2 i when three letters picked without replacement from ioqiniio. 3/14 Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {b: 10, a: 3, r: 1, j: 1}. 9/91 Two letters picked without replacement from vvgigiii. Give prob of picking 2 i. 3/14 Two letters picked without replacement from ngqnnqnnnnngnn. What is prob of picking 1 n and 1 q? 20/91 What is prob of picking 2 t and 1 q when three letters picked without replacement from {q: 2, t: 8}? 7/15 Calculate prob of picking 1 n, 1 a, and 2 f when four letters picked without replacement from {a: 4, n: 4, j: 3, f: 2, d: 1, k: 1}. 16/1365 Four letters picked without replacement from {i: 3, c: 2, h: 7, q: 7}. What is prob of picking 1 q, 1 i, and 2 c? 7/1292 Two letters picked without replacement from {g: 2, q: 4, z: 2, w: 1, a: 1, b: 2}. Give prob of picking 1 g and 1 b. 2/33 Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {m: 5, t: 1, q: 3, f: 1, r: 1, z: 2}. 3/143 Two letters picked without replacement from {e: 4, a: 2, u: 1, n: 6}. What is prob of picking 1 e and 1 u? 2/39 Three letters picked without replacement from jrjyjyyyjbjjjrjbjb. What is prob of picking 1 j, 1 r, and 1 b? 9/136 Two letters picked without replacement from sdbskydi. What is prob of picking 1 i and 1 d? 1/14 What is prob of picking 1 x and 1 a when two letters picked without replacement from myxaxxaymxa? 12/55 Calculate prob of picking 2 f and 1 m when three letters picked witho
{ "pile_set_name": "DM Mathematics" }
n(-8)? 12 Suppose -j - j = -2. Let k = 2 + 8. Calculate the common denominator of -1 - j - 26/k and -35/4. 20 Let w(v) = 2*v - 3. Let h be w(4). Suppose h*u - 48 = 12. What is the smallest common multiple of u and 16? 48 Let x be 3/(-4) + 12/16. Suppose 3*c + c - 44 = x. Calculate the lowest common multiple of c and 5. 55 Let m(f) = f**3 + 5*f**2 + 4*f. Let z = 14 + -17. What is the least common multiple of 6 and m(z)? 6 Let z(f) = -f**3 + 4*f**2 + 2*f - 2. Let v(j) = -j**3 - 2*j**2 - 1. Calculate the least common multiple of z(4) and v(-3). 24 Let y = 0 - -3. Suppose y*z = 3 - 84. Find the common denominator of ((-12)/8)/(z/4) and -54/5. 45 Let t(f) = -629*f + 11. Let z be t(-5). Let o = z + -44255/14. Find the common denominator of 59/10 and o. 70 Suppose 5 = -a + 4*c, 13 = a - 0*a + 2*c. What is the lowest common multiple of 6 and a? 42 Let t = 30 + 4. Calculate the lowest common multiple of t and 18. 306 Let y be 13/20*48935/4. Let l = 10043 + -17998. Let q = y + l. What is the common denominator of 121/6 and q? 48 Let r = 6 - 0. Calculate the smallest common multiple of r and (72/30)/((-6)/(-20)). 24 Let k = 1/428 + -10711/4708. Find the common denominator of -53/4 and k. 44 Let u = -71/306 - -3/17. Let z = 1/6144 + 60413/18432. What is the common denominator of z and u? 18 Let p = 5393/2472 - 23/103. Find the common denominator of p and -101/2. 24 Suppose -3*g = 5*w - 19, 0 = 2*w + 3*g - 9 - 4. Calculate the least common multiple of 9 and w. 18 Find the common denominator of -22/115 and 3/(-2) + 72/30. 230 Let u = 775746057970/4151 - 186881722. Let a = 3/8302 - u. Calculate the common denominator of a and -1*((-94)/(-4))/1. 14 Let t be (38105/1062)/((-190)/(-40)). Let m = 2/1121 + t. Calculate the common denominator of m and -79/6. 18 Let i = 3852 - 15497/4. Suppose 6*d - 3*o - 38 = d, 0 = o - 4. Find the common denominator of 61/d - (-7)/7 and i. 20 Let s(m) = 10*m + 4 + 3*m - m**2 - 3*m. Calculate the least common multiple of 8 and s(10). 8 Suppose -31 = -n + 5*x, 0*x = 4*x + 16. Suppose -u - 4*a = -11, -a + 15 = -0*u + 2*u. Calculate the least common multiple of u and n. 77 Let o = 279/20930 - -9/161. Let j = 27771687 + -39713510169/1430. Let x = j + o. Find the common denominator of -39/10 and x. 110 Let v(w) = 18*w**2 + 2*w + 1. Calculate the least common multiple of v(1) and 18. 126 Let a = 25 + -15. What is the smallest common multiple of a and 14? 70 Let j = 362 + -616. Find the common denominator of j/(-120) - (-2)/(-3) and -1/4. 20 Let k be ((-1380)/(-9) - 2)*-1. Let g = k - -309/2. Find the common denominator of g and -41/10. 30 Calculate the least common multiple of 24 and 12 - 3/(-6)*-8. 24 Let i = 6 + 4. What is the least common multiple of 8 and i? 40 Let x = 15 - 27. Suppose 0 = -4*o + 10*o - 120. Let j = x + o. Calculate the lowest common multiple of j and 5. 40 Let i be -3 - (-3)/(462/(-214)). Let s = 6647/924 - i. Calculate the common denominator of s and -87/20. 60 Let a be 12/(-15) - 263517/(-15). Find the common denominator of -53/8 and a/(-1452) + (-2)/(-11). 24 Let f(p) = -p**3 - 3*p**2 - p - 6. Calculate the lowest common multiple of f(-4) and 8. 56 What is the common denominator of 2/(-5) + 3068/195 + 4 and -76/33? 33 Let o be (1/(-3))/((-5)/120). Calculate the common denominator of -31/4 and 102/o - (-1 - -3). 4 Let g = -250 + 4917/20. Find the common denominator of g and 7/10. 20 Let d(g) = 2*g - 18. Calculate the lowest common multiple of d(13) and 7. 56 Let i = 562 + -2773/5. Let x be (-2354)/(-248)*(-3)/6. Let g = x + -35/31. Find the common denominator of i and g. 40 Suppose 3*y - 21 = 4*y. Find the common denominator of (-45)/(-11) + 1 + -1 and (-41)/(-70) + 6/y. 110 Suppose -54 = -6*c - 0. Let q = 3 - 6. What is the smallest common multiple of c and (-18)/(-4)*(-2)/q? 9 Suppose -5*t + 2*t + 2*s - 35 = 0, 4*t - 2*s = -50. Suppose -d - 4*d = -30. What is the smallest common multiple of 5/t - (-49)/3 and d? 48 Let p = 332999/6118 + -5/6118. Let c = p + -4537/84. Find the common denominator of c and 91/8. 24 Let p = 87479/7864 + 1/983. Suppose -6*x + 1539 = -3*x. Let t = x - 1995/4. Find the common denominator of p and t. 8 Let f = 43327/10 - 4328. Calculate the common denominator of f and -113/6. 30 Suppose -5*h = 10 + 45. Let p = h + 18. What is the smallest common multiple of 3 and p? 21 Let v = -43150891/10 + 4309773. Let z = v + 5322. Find the common denominator of 31/6 and z. 30 Let z(c) = c**2 + 10*c - 9. Let v be z(-10). Let q = v + -9. Calculate the common denominator of 58*(2 + 38/q) and -52/11. 99 Suppose 5*k = 4*k - 3. Let w = k + 8. Suppose w*o = -0*o + 40. Calculate the smallest common multiple of o and 2. 8 Find the common denominator of (-165)/(-25)*10/4 and 108/112*22/(-3). 14 Let h = -1/111 - -5885/222. Suppose -n = -5*t + 20, -n - 5*t - 29 = 11. Find the common denominator of n and h. 2 Suppose -140 = -5*g - 30. Suppose 21 + 2 = 4*k - 3*i, 5*k - 3*i = 25. Calculate the least common multiple of g and k. 22 Let c = -545/4 - -6079/44. Calculate the common denominator of (50/8)/((-6)/8) and c. 33 Let l = 147750337 + -62055084323/420. Let k = l + -1999/15. Calculate the common denominator of -56/5 and k. 140 Suppose 3*h + h = 5*x + 8, -2*h = -4. What is the smallest common multiple of 6 and x/7 + 10/2? 30 Let i be 403684/(-192) - (-2)/(-3). Let v(h) = 78*h**3 - h**2 + 2*h - 1. Let n be v(3). Let r = i + n. Find the common denominator of -59/20 and r. 80 Let b = -9 - -31. Calculate the smallest common multiple of 18 and b. 198 What is the common denominator of ((-83)/(-12))/(-1) - (0 + -3) and 43/54? 108 Let n = 5 + -4. Calculate the lowest common multiple of 5 and n. 5 Let k(x) = x**2 + 3*x. Suppose -h + 9 - 3 = 0. What is the lowest common multiple of k(-5) and h? 30 Let f(v) = 2*v + 2. What is the smallest common multiple of f(0) and 12? 12 Let q be (-8 - (-7 - -3)) + 10. Find the common denominator of 18/(-10)*110/4 and 11/(13 + (q - 3)). 16 Find the common denominator of 0 + 1 + 594/(-81) and 0/3 - (-91)/(-2). 6 Suppose -2*o = h + o - 6, 3*h + 3*o + 6 = 0. Let j be 2*(-2)/4*h. What is the common denominator of 3/8*82/j and 13/14? 56 Let k be (-4)/(-5)*60/8. Suppose k*f - 3*f = 12. Suppose 19 = f*t - 5. What is the least common multiple of t and 7? 42 Find the common denominator of -131/6 and (-186*5/(-50))/((-32)/(-10)). 48 Let m = 14 + -16. What is the lowest common multiple of 3 and (-20 - -8)*1/m? 6 Suppose -249 = -5*k + g, 139 = 4*k - 2*g - 65. Let o be (-6)/(-8)*(-182)/k. Let l = 74/35 - o. Calculate the common denominator of -101/8 and l. 40 Let p(g) = g**3 - 13*g**2 + g - 3. Calculate the smallest common multiple of 3 and p(13). 30 Find the common denominator of 85/14 and (-3755)/(-770) - (-4)/(-14). 154 Suppose -6*o - 26 = -o - 2*v, -1 = o + v. What is the common denominator of (-1)/o*149/(-3) and (-311)/66 + (-2)/(-3)? 132 Let m be 2 + 32 + 0/3. Let t = -12 + m. What is the smallest common multiple of t and 4? 44 Let h be 4/16 - (-38)/8. Suppose h*l - 100 = 4*t, 2*t + 3*t + 108 = 2*l. Calculate the common denominator of t and -1/6. 6 Let x(o) = 5*o - 1. Let c be x(-1). Let w = c - -9. Suppose 0 = w*j - 7 + 1. Calculate the smallest common multiple of 10 and j. 10 What is the common denominator of -65/8 and (2*(-122)/8)/((-8)/2)? 8 Let c = 15/89 - 4370/28569. Let k = -1031/214 - c. What is the common denominator of k and 33/5? 30 Let o be (1 - (-10332)/(-20))*5. Let m = 64468/25 + o. Calculate the common denominator of m and 73/9. 225 Let k = 2/1565 - 62622/17215. Let j = 1238/3 - 404. Find the common denominator of k and j. 33 Let m = 4 - -4. Find the common denominator of m and 19/10. 10 Calculate the common denominator of (8/20)/((96/10)/3) and 11/(-2)*35/10. 8 Let c = -19069244004 - -21166847253601/1110. Let h = c + 12244. Let d = -22757/2220 + h. What is the common denominator of -31/8 and d? 8 Suppose -5*c - 5*n + 60 = 0, -3*n - 47 = -5*c - 3. Suppose -3*k + 5*g + 3 + 19 = 0, 0 = 2*k + 3*g - 21. What is the lowest common multiple of k and c? 90 Suppose 5 = 4*h + s, 0*h + 2*h = -4*s + 6. What is the smallest common multiple of 11 and h? 11 Let t = -862/76873 + 9334100495/214936908. Let f = t + 272/233. Let q = -6179/132 + f. Calculate the common denominator of 43/8 and q.
{ "pile_set_name": "DM Mathematics" }
le of 34 and 8109. 16218 Calculate the common denominator of -155/1362018 and 19/6. 1362018 What is the lowest common multiple of 34730 and 27784? 138920 Find the common denominator of -32/45 and -79/29655. 29655 Calculate the least common multiple of 20 and 8320. 8320 Calculate the common denominator of 119/40 and -13/1385305. 11082440 Calculate the least common multiple of 78 and 12. 156 Calculate the common denominator of -99/1035436 and -41/24. 6212616 Calculate the common denominator of 131/636 and -39/398719. 4784628 What is the common denominator of 49/684 and -97/72? 1368 Find the common denominator of 6/161 and 18/26243. 26243 Find the common denominator of 69/22 and 143/369984. 4069824 Calculate the common denominator of -58/71607 and 20/2547. 60794343 What is the common denominator of -95/10278 and -95/36? 20556 Find the common denominator of 43/40 and -123/21440. 21440 Find the common denominator of 41/18968 and 6/343795. 2750360 Calculate the common denominator of 43/2760 and 53/1840. 5520 What is the common denominator of 61/525156 and 121/2454? 525156 What is the least common multiple of 3 and 120653? 361959 Calculate the least common multiple of 187 and 6664. 73304 Find the common denominator of 137/1896 and -45/1817. 43608 Calculate the lowest common multiple of 18938 and 8. 75752 Calculate the least common multiple of 44320 and 398880. 398880 Calculate the lowest common multiple of 36 and 73404. 73404 What is the common denominator of -69/1876 and -179/10050? 140700 Calculate the common denominator of 51/111671 and 49/901. 1898407 What is the common denominator of 83/585 and -59/91260? 91260 What is the lowest common multiple of 9 and 287136? 287136 What is the least common multiple of 18 and 26500? 238500 What is the lowest common multiple of 66176 and 968? 727936 What is the lowest common multiple of 12 and 126598? 759588 Find the common denominator of -73/198489 and -25/258. 17070054 Find the common denominator of -101/41272 and -43/224. 165088 What is the common denominator of -133/1156000 and -1/16? 1156000 Calculate the common denominator of 33/6302 and -109/1370. 31510 What is the least common multiple of 11 and 3321? 36531 Calculate the smallest common multiple of 4640 and 11600. 23200 Calculate the lowest common multiple of 620672 and 572. 6827392 Calculate the least common multiple of 1354 and 662. 448174 Calculate the common denominator of 64/15 and -97/1264734. 6323670 What is the common denominator of -31/801 and -137/5118? 1366506 Calculate the common denominator of 31/24983 and -36/43. 24983 Calculate the smallest common multiple of 804783 and 459876. 3219132 What is the common denominator of 4/401897 and 49/9? 3617073 What is the lowest common multiple of 1980 and 891? 17820 Calculate the smallest common multiple of 10591 and 56. 84728 Calculate the common denominator of 24/35 and 23/1832. 64120 What is the smallest common multiple of 440 and 60874? 1217480 What is the common denominator of -139/1596 and 37/760? 15960 Calculate the lowest common multiple of 69834 and 565. 349170 What is the common denominator of -41/116754 and -7/174? 116754 What is the smallest common multiple of 999 and 1240980? 11168820 Calculate the common denominator of -63/1616 and 61/12. 4848 Calculate the common denominator of -115/162 and -49/9396. 9396 Calculate the common denominator of 77/16056 and 43/1115. 80280 What is the lowest common multiple of 24 and 732? 1464 What is the common denominator of 5/82016 and 79/298240? 3280640 Calculate the lowest common multiple of 343607 and 66. 2061642 Calculate the common denominator of 13/932 and 31/89006. 178012 Find the common denominator of -17/42 and 61/38885. 233310 Find the common denominator of 5/119 and -43/4112. 489328 Find the common denominator of 11/8535 and 1/135. 76815 Calculate the smallest common multiple of 6 and 232868. 698604 Calculate the smallest common multiple of 4890 and 4401. 44010 Calculate the common denominator of 52/3577 and 26/49. 3577 Calculate the smallest common multiple of 9696 and 1068. 862944 What is the smallest common multiple of 11 and 356? 3916 What is the smallest common multiple of 28 and 444160? 3109120 What is the common denominator of 71/3680 and -75/224? 25760 Calculate the common denominator of -139/18 and 115/12726. 12726 Calculate the least common multiple of 3684 and 84. 25788 What is the lowest common multiple of 7210 and 2900? 2090900 Calculate the common denominator of 101/352902 and -59/48. 2823216 What is the common denominator of -6/11135 and -7/2358? 200430 Calculate the least common multiple of 4505 and 424. 36040 Calculate the common denominator of 109/3800 and 167/1140. 11400 What is the smallest common multiple of 4576 and 437632? 4813952 Calculate the common denominator of 21/121549 and -38. 121549 Calculate the lowest common multiple of 414 and 1978. 17802 Calculate the common denominator of -35/4 and -59/541788. 541788 Calculate the common denominator of 87/40018 and 97/2992. 320144 Calculate the least common multiple of 1638 and 3549. 21294 Calculate the common denominator of 2/2233 and -52/315. 100485 What is the common denominator of -44/8939 and -60/169841? 169841 Calculate the smallest common multiple of 17277 and 3101. 120939 Calculate the common denominator of -45/8 and -57/2340925. 18727400 Find the common denominator of -55/64 and 11/2592. 5184 What is the smallest common multiple of 17512 and 1592? 17512 What is the least common multiple of 5 and 68228? 341140 Calculate the least common multiple of 6 and 1146678. 1146678 Calculate the smallest common multiple of 212364 and 8. 424728 Calculate the lowest common multiple of 184400 and 4. 184400 Calculate the least common multiple of 75 and 3183. 79575 What is the lowest common multiple of 1530 and 1734? 26010 Find the common denominator of 167/11070 and 73/30. 11070 Calculate the least common multiple of 7525 and 647150. 647150 What is the common denominator of -8/13065 and 121/2760? 2403960 Calculate the smallest common multiple of 474639 and 132. 1898556 What is the smallest common multiple of 2204 and 6? 6612 Calculate the smallest common multiple of 1969 and 11. 1969 Calculate the least common multiple of 121131 and 1252. 484524 Calculate the least common multiple of 6 and 7358. 22074 Find the common denominator of -83/2880 and -67/32. 2880 Calculate the common denominator of 25/5481 and -34/1827. 5481 Calculate the common denominator of 42/2678065 and -4/9. 24102585 Calculate the common denominator of 93/5024 and -33/816400. 1632800 What is the common denominator of 67/20492 and 40/423? 184428 What is the common denominator of 101/28 and -25/378608? 2650256 Find the common denominator of -15/151 and 11/7846. 1184746 What is the smallest common multiple of 780 and 780? 780 Calculate the least common multiple of 4715 and 20. 18860 What is the lowest common multiple of 363 and 336501? 336501 Calculate the common denominator of -139/8112 and 29/6864. 89232 Calculate the common denominator of -49/61224 and 47/36. 183672 Calculate the common denominator of 53/195 and 109/3432. 17160 Find the common denominator of 87/284852 and 65/128. 9115264 Calculate the smallest common multiple of 795634 and 34. 795634 What is the common denominator of 103/21260 and -81/99922? 999220 Find the common denominator of 113/408 and 115/1638. 111384 What is the lowest common multiple of 8 and 86448? 86448 Calculate the least common multiple of 207540 and 260. 2698020 What is the smallest common multiple of 156 and 2058? 53508 What is the smallest common multiple of 44 and 129427? 5694788 What is the common denominator of -116/17325 and 143/900? 69300 Calculate the common denominator of 151/1710 and -23/1881. 18810 What is the least common multiple of 532 and 190? 2660 What is the common denominator of 89/2628 and -133/1296? 94608 Calculate the lowest common multiple of 1287 and 277. 356499 What is the common denominator of 6/5 and 37/3359? 16795 What is the common denominator of 73/237914 and -61/237914? 237914 Calculate the lowest common multiple of 11436 and 84. 80052 What is the common denominator of 52/1939 and -59/1385? 9695 Find the common denominator of 101/4 and -101/47994. 959
{ "pile_set_name": "DM Mathematics" }
)/(-153))/(-2*(-2)/12). Suppose -o*k + l = k. Solve 5*r = 2*g + 2, -r + k*g = r - 5 for r. 0 Let n be -3 + 8 + -2 + 5. Let r(y) = 6*y + 20. Let g be r(-3). Suppose 2*p - 5 = -5*h, g*p = -2*p - 3*h + 17. Solve 2*d = -o + p, o + n = -3*o - d for o. -3 Let m be (1 - (-2)/(-3))/(-27*16/(-6480)). Solve -m*b - 3 - 2 = 5*w, -4*w = 16 for b. 3 Let z = -12196 + 12213. Solve o - 3*o + 12 = 2*m, 3*o + 2*m - z = 0 for o. 5 Suppose -v - 5 = 0, -4*q + 3*v = -0*q - 51. Let d = q + -4. Let b = 8 - 1. Solve -2*u + 3*m - 13 = 0, -d*m + 8 = -b for u. -2 Let f(n) = -2*n - 14*n**2 - 5*n + n - n**3 + 0*n - 84. Let z be f(-14). Solve z = 3*b - 2*h + 10, -5*b = 2*h + h + 23 for b. -4 Let q(g) = g**3 + g. Let p be q(1). Let z be 11 - p/((-6)/3). Suppose 2*j - 6 = 2*f, 0 = 3*f - 3*j + j + 4. Solve f*u - 2*a - 6 = 2*a, -3*u + 3*a = -z for u. 5 Suppose -22 + 20 = j, 212 = -5*t - j. Let n be (t - -52)/(-1 - -3). Solve -5*h = -0*h - 10, -2*h + 4 = -n*c for c. 0 Let q(w) = -227*w + 1374. Let v be q(6). Solve -2*s - r = -5, 15*r + v = 19*r for s. 1 Let j(m) = m**2 - 14*m + 40. Let x(p) = -p**3 - 11*p**2 - 31*p + 4. Let w be x(-6). Let c be j(w). Solve -2*i + 20 = 4*t - c*t, -3*t + 15 = 0 for i. 0 Let o = -25050 + 25054. Solve -72*l = -o*z - 77*l - 7, -2*z + l = -7 for z. 2 Suppose 4*q = -9*t + 4*t + 62, 3*q - 50 = -4*t. Solve 5*z + 3*j = -0*j - 19, 4*z + 2*j + t = 0 for z. -2 Let u(l) = -6*l - 53. Let b be u(-22). Let i = 29 - b. Let m = 50 + i. Solve -4*j + m*w - 3 = -w, -3*w + 9 = 4*j for j. 0 Let x be 3*-1 + (-130 - -1) + -3. Let p = x - -140. Solve -l - t = 2*l - 7, 41 = 4*l - p*t for l. 4 Suppose 13*l - l = 0. Let b be l*5*9/(-45). Solve b = -3*n - 2*n + 15, o + 8 = 2*n for o. -2 Let v = 5271 - 5266. Solve -16*j + 14*j + q = 12, 2*j + 28 = v*q for j. -4 Let j(i) be the second derivative of -i**3 - 6*i**2 + 3*i + 14. Let q be j(-2). Solve -2*a + 3*y + 5 = q, -2 = 5*a + y + 11 for a. -2 Suppose 4*u = -2*x + 222, u + 169 = 4*u + x. Suppose 10*m - 208 = -u. Solve 2*g - 5*h - 30 = g, -4*g - h = -m for g. 5 Suppose 69 = 13*a + 4. Let u(h) = 9 - 2 + 3 - h. Let x be u(a). Solve 4*f - 19 = 3*g, x*f - g = -2*g for f. 1 Let m(k) = 323*k + 969. Let l be m(-3). Solve 5*t + b - 27 = l, -5*b + 15 = 5*t - 20 for t. 5 Let f be (120 - 119) + (6 + 0 - 0) - 2. Solve 3*m - f*t = -0*t - 5, 0 = 2*m - 3*t + 2 for m. 5 Suppose 50*n + 81*n = 30*n. Solve 3*x + n*x - 10 = -z, -5*x + 14 = z for z. 4 Let a be -1149*(-13 - -4)/9. Suppose -a*j = -1157*j + 40. Solve 0 = 5*h - 3*y + 10, -2*h = -h - j*y - 20 for h. -5 Suppose 27*i - 112 - 23 = 0. Solve -4*t - i*s = 0, -5*s - 25 = t - 10*s for t. -5 Let l = 4300 - 4298. Solve -2*s - 2 = l*y, -5*y + 9*y = -16 for s. 3 Let a(x) = -x**3 - 7*x**2 - 5*x + 14. Let b be a(-6). Suppose -4*f + 0 = -8. Let m be 36/b + f/4. Solve m*p - 13 = v, -2*p - 2*p + 8 = -2*v for p. 3 Suppose p = 27 - 14. Suppose r + d = p, -5 = 3*r - 2*d - 69. Solve 0 = -2*c + 10, 0*n + 2*c = -4*n + r for n. 2 Let z be (-2)/(-4)*(-19 + 1). Let q be (50/15)/((-3)/z). Suppose -2*g + 2 = -2*f, f = 5*g - g - q. Solve 4*v = -5*a - 10, g*a - 2 = 4*v + 24 for a. 2 Suppose 602*n = 458*n. Solve 48*b - 43*b - 3*l = n, 0 = 3*b - 5*l for b. 0 Let k be (0 + 0)/(1 + -2). Suppose 0 = -63*o + 66*o - 9. Suppose -z - 5*u + o = -4*u, -u = 5*z - 11. Solve z*q + 2*q - 2*m = -6, k = 2*q + 3*m - 9 for q. 0 Suppose -22 - 120 = -71*q. Solve 2*k + 15*u - 20*u - q = 0, 0 = -2*u for k. 1 Let g = -24143 + 24143. Solve 104*l - 101*l - 4*x - 2 = g, 0 = 4*x - 4 for l. 2 Let o be (-4*(-13)/(-52))/(186/63 - 3). Solve 20*j - o*j - 5*a = 8, 0 = -3*a - 3 for j. -3 Suppose -2*d - 166 - 32 = -4*g, 0 = g + 2*d - 42. Let y = g - 43. Solve 2*i = 2*s - 2, -i + 2*i - y*s + 13 = 0 for i. 2 Suppose 4*j + j - 10 = 0. Let p be (-16)/(-704)*168 - (-4)/22. Solve -j*d - 2*x + 0*x = p, -3*d + 5*x = 14 for d. -3 Let o be (-1898)/(-511) + (-8)/(-28). Solve 2*f = p - 4*p - o, 2*p = 5*f - 28 for f. 4 Let i(w) = 14*w**3 - 3*w**2 - 2*w + 1. Let g be i(-4). Let x be (-4)/(-34) + 110/g. Solve 6*d + 20 = 4*h + 3*d, -h - d + 5 = x for h. 5 Suppose 1609*b - 425 = 1592*b. Solve -t - 4*x = -11, 22*t - 4*x = b*t - 9 for t. -1 Let r(q) = q**2 + 30*q - 849. Let o be r(18). Solve 0 = o*g - 20*g + z + 15, -z + 13 = 2*g for g. 4 Let h = -700 + 705. Let i(p) = -1 + p**2 + 3 - 3. Let w be i(2). Solve -3*d + 3*t + 3 = 0, -3*t - w = -h*d + 2 for d. 1 Let j be (-15)/25 - 65/(-25). Solve 13*k + 8 = j*l + 11*k, l - 4*k - 4 = 0 for l. 4 Suppose 168*d = 105*d + 1449. Solve 4*a = 5*i + 11 - 32, 5*i - d = 2*a for i. 5 Let o(y) = 12*y + 14. Let b be o(-1). Suppose 0 = 2*c + 4*s + 12, c - 2*s - 6 = -0. Solve c = -4*t + b*k - 4*k + 14, 5*t - 11 = 4*k for t. 3 Suppose 3*l + 8 = -2*p + 5*l, -p = -2*l + 8. Suppose -6*a + 17*a - 22 = p. Solve 4*t - a*v + 8 = 0, 5*v = 2*t + 23 - 3 for t. 0 Let k be (-62)/155 + (-66)/(-15). Solve k*z = 8*z - p - 5, -2*p = 10 for z. 0 Suppose 6 = 2*c - 6. Let k = 39 + -37. Suppose -k*v + 5*v = c. Solve 2*p - 5 = -z, -v*z + p + 1 - 6 = 0 for z. -1 Suppose 3*h = 9, 3*s - 3*h - 17 - 25 = 0. Suppose 67 = 10*t + s. Solve 0 + 5 = y, 2*c - 33 = -t*y for c. 4 Let t(w) = -557*w + 2. Let b be t(0). Solve 11 = -k + b*d + 8, 8 = -5*k + 3*d for k. -1 Let b = 158 - 234. Let t = b - -50. Let x = 29 + t. Solve 2*r - 7 = -5*i, -i = -x*r + 2 - 0 for i. 1 Suppose -7*z - a + 6 = -3*z, -4*a - 8 = 0. Let f be ((-3)/(-2) - 6)/((-1)/z). Solve -3*x - f = 0, -2*x = -i - 0 + 10 for i. 4 Let w = 22758 + -22755. Solve 6*x - 2*x - w = m, -2*m + 2 = 0 for x. 1 Let f be (-1)/3 + 111/9. Let z = 1027 - 1015. Let w be -3 + 62/z + (-2)/f. Solve 25 = -w*h - 2*j + 7*j, 26 = -4*h + 2*j for h. -5 Suppose 4 - 8 = 4*q, -4*q - 4 = 3*n. Suppose n = 3*u - u. Suppose 24*d = 19*d + 11*d. Solve 3*x - 2*s - 3*s = u, d = -2*x - s - 13 for x. -5 Let w = -76 + 79. Suppose -6*d = -2*d - 5*f - 19, w*f = -d + 9. Solve 2*c - 12 = -d*l + 2*l, 0 = l - 5 for c. -4 Let b = -3675 + 3677. Solve -24 = -3*u - 3*k, 4*u - 3*k - 2 - b = 0 for u. 4 Let f(m) = -m**2 + 18*m - 5. Let s be f(17). Suppose -48*n - s = -52*n. Solve 2*w - 5*b - 10 = 3, 11 = -2*w - n*b for w. -1 Let v = -17 - -33. Suppose 0 = -4*o + 42*s - 47*s + 88, -4*s - 35 = -3*o. Suppose -o*z + v*z + 2 = 0. Solve 5 = -i + 1, z*r = -5*i - 14 for r. 3 Let z(r) = 2*r**2 + 62*r - 274. Let a be z(-35). Solve -l = 5*h - a*h + 1, 25 = 5*h for l. 4 Let g be 26 - (-12)/(20/(-5)). Suppose -2*b = -g*b + 84. Let p be 0 + -1 - 1/(-1). Solve 5*h + 2*v = -14, h + p*v + v + b = 0 for h. -2 Let a(f) = -26*f + 221. Let m be a(8). Let w be -1*(m - 10 - 18/2). Solve -r + 4*y - 3 = 0, -y = -3*r - w + 19 for r. 5 Let r be (-8)/20*5 + 443. Let b = 456 - r. Solve -i + 4*a = -11, 0 = 4*a - 9*a - b for i. -1 Suppose 3*k = -5*t + 27, 4*k - 5 = 4*t - 1. Suppose 0 = 3*n - 6*n - y + 21, -k*y + 6 = -n. Solve -5*j + n*s - 3*s - 10 = 0, 2*j - s + 3 = 0 for j. 1 Let t(l) = -13*l + 96. Let r be t(7). Let s be r + -3 + (5 - 2) + -1. Solve 0 = s*u - 16, -3*w - 3*u = -6*u for w. 4 Let f = -48678 + 48693. Suppose -5*w + 2*l + 2 = -l, 0 = 5*w + l + 14. Let b be 4*w*3/(-8). Solve 5*u = -b*z + f, -2*z = u - 7*z - 3 for u. 3 Suppose -2*r + 4*z + 24 = 0, -4*r + 6*r - 2*z = 14. Suppose 8*g = 29 + 27. Let t be (3/g)/((-39)/(-273)). Solve b - 2*s + r = 0, 4*b - s - t*s = 4 for b. 4 Let r be 6/2 - (2 + -15). Let h(a) = -a**2 + 14*a + 37. Let d be h(r). Let w be d - (3/5)/((-3)/(-15)). Solve z - w*f = -4, f = 2*z - f + 4 for z. 0 Let u(o) = 17*o**2 - 18*o - 14. Let a be u(-1). Suppose s = 3*s - 6. Solve s*k = 4*p + 2*k + a, 3*k - 3 = -3*p for p. -4 Let o(s) = -4*s - 1. Let p be o(-2). Suppose 11*j = p*j. Suppose -5*r = r. Solve j = -a + 3*g - 6*g - 11, r = -a + g + 5 for a. 1 Let i be -2 + 0 + 4 + -34. Let x = -27 - i. Suppose -b = -4*p - x*b + 36, -4*p + 16 = -b. Solve 10 = 5*o, -3*w - 4*o + 8 = -p*w for w. 0 Let u be 6/(-9)*-1 + 64/(-96). Solve -12 = -2*n - 4*j + 3*j, u = 2*n - 2*j for n. 4 Suppose -k + 0*k - 4*h - 12 = 0, -4*k = 6*h + 8. Suppose 0 = 3*i + 1 + 8. Let r = i - -8. Solve o = 3*y + 7, -r*y - 2*o = -k*o + 12 for y. -2 Let h be (-180)/(-6)*(-2)/3. Let t be (112/h)/(1/(-5)). Let x = -3104 + 3104. Solve 4*k + 4*d + t = x, -d = -4*k + d + 2 for k. -2 Suppose -75*g - 31 = -3*j - 79*g, 5*g = -2*j + 30. Solve 2*b - 5*s - 2 = -b, -2*b - 3*s - j = 0 for b. -1 Let d(k) = -46*k + 1394. Let s b
{ "pile_set_name": "DM Mathematics" }
xpress l**3 - 2 + l - 4*l - 14 + 5*l as r*l + c*l**3 + j*l**2 + w and give c. 1 Express (2*z + z**3 - 3*z + 2*z)*(-14*z + 3*z - 11*z) as g*z**2 + p*z**3 + n + r*z**4 + h*z and give g. -22 Express 106*p + 726 - 726 in the form a + r*p and give r. 106 Rearrange (1 + 0 - 2)*(-2*r + 2 - 2)*(7*r - 2*r**2 - 7*r) to the form d*r**3 + g + v*r + n*r**2 and give d. -4 Express (3*n - 3*n + n)*(-15*n + 59*n + 18*n) in the form i + k*n + g*n**2 and give g. 62 Express 96*d + 85*d - 175*d + 1 as q*d + t and give t. 1 Express 3*v**2 - v - 6*v**3 + 0*v**3 - 3*v**4 + 3*v**3 + 0*v**3 as a*v**3 + u*v**2 + t*v**4 + i*v + j and give a. -3 Rearrange -5*b**2 + 2*b**2 - 17*b**2 - b**2 to the form o + l*b**2 + c*b and give l. -21 Express -z**2 - z**3 + 18*z - 1 - 18*z as t*z**2 + l*z**3 + v + u*z and give t. -1 Express (-4*s + 2 + 4*s - 2*s**3)*(-1 - 1 - 7) in the form i*s**3 + x*s + g*s**2 + d and give i. 18 Rearrange 5*h**2 - h - 2*h - 7*h**2 + 6*h to z + f*h + s*h**2 and give s. -2 Rearrange (3*g - 3*g - 2*g + (g - 4*g + 4*g)*(-1 - 3 + 1))*(-3*g**2 + g - g) - g**3 + 0*g**2 + 0*g**2 to the form y*g**3 + o + b*g + a*g**2 and give y. 14 Rearrange 0 - 1 - 23*x + 1 to l + s*x and give s. -23 Express 5*l**3 - 19*l**3 + 9*l**3 + 6 as m*l + b + c*l**2 + i*l**3 and give b. 6 Rearrange (-26 - 7 + 6)*(4*n - 2*n**2 - 4*n)*(n**2 + n**2 + n**2) to the form a*n**4 + s*n + z + q*n**2 + j*n**3 and give a. 162 Rearrange (-q - 2*q + q)*(-q - 2 + 7*q - 8*q) to the form m*q + x*q**2 + a and give x. 4 Rearrange -9*b**2 + 2 + 10*b**4 - 6*b**4 - 2*b**4 to the form n*b**2 + c*b**4 + x*b**3 + o + r*b and give x. 0 Rearrange 12*j**4 + 95 - 95 + (-6*j + 2*j + 3*j)*(-j**3 - 9 + 9) + 2*j**4 - j**4 + 0*j**4 to s*j + t + w*j**3 + k*j**4 + l*j**2 and give w. 0 Rearrange -2*w**2 + 48*w**3 + 0*w + w - 43*w**3 to the form g + d*w**3 + p*w**2 + h*w and give h. 1 Rearrange 102*b - 102*b - 28*b**3 - 1 to the form g + c*b + o*b**3 + n*b**2 and give g. -1 Express -r**3 + 11 - 4*r - 10 + 0*r**3 in the form l + c*r + y*r**2 + k*r**3 and give k. -1 Express 4 - 4333*q + 5 + 4331*q in the form v + y*q and give v. 9 Rearrange (-3 + 0 + 2)*(3*c + 3 - 3) - c - 3*c + 2*c + (3 - 1 + 0)*(3*c + 1 - 1) to b*c + t and give b. 1 Express (-j + 4*j + 3*j)*(4*j**2 - 5*j**2 - 4*j**2) in the form z*j**2 + n*j**3 + h*j + s and give n. -30 Express 1 + 4*j**3 - 2*j**4 - 34*j + 34*j as k*j**2 + w + x*j**3 + a*j + i*j**4 and give a. 0 Express -424 - 17*v + 424 in the form u*v + d and give d. 0 Rearrange -m - 14*m**2 - 4*m**3 + 15*m**2 - 1 + m to y*m**3 + g + w*m**2 + u*m and give y. -4 Express -2*n**2 + 45 - 47 - 2*n**2 in the form x*n**2 + w + d*n and give x. -4 Express -102 + v + 134 + v as j*v + l and give l. 32 Express (-2*c**2 + 0*c**2 + 0*c**2)*(11*c - c - 5*c)*(1 + 2 - 5) as q + u*c**3 + m*c**2 + k*c and give u. 20 Rearrange -2*u**3 - 8*u + 2*u - 2*u to h*u**2 + z + j*u**3 + k*u and give j. -2 Express (-b + b - 6*b)*(-2*b**2 - 2*b**2 + 0*b**2) in the form a*b**3 + m*b**2 + r + i*b and give a. 24 Express (-2*g**2 - 2*g**2 + g**2)*(-14 + 14 - 3*g**2) as b*g + x*g**3 + d*g**2 + u*g**4 + w and give w. 0 Rearrange (7 + 0 + m - 3)*(4*m**2 - 2*m**2 - 4*m**2) to w*m**2 + f*m + b + q*m**3 and give w. -8 Rearrange 2*v + 7*v + 3*v + 0*v to the form z + b*v and give b. 12 Rearrange 5*u + u - 3*u + (-u + 0 + 0)*(1 - 3 + 1) to the form j*u + c and give j. 4 Express 3*m**3 + m**4 + 45 - 5*m - 42 + 3*m - 2*m**3 as x + i*m**2 + k*m**4 + r*m + l*m**3 and give l. 1 Express -5*v**2 + 5*v + v**2 + 2*v - 4*v as w + c*v + p*v**2 and give p. -4 Rearrange (10*c**2 - 8*c**2 + 16*c**2)*(-5 + 3*c + 5) + 3*c**3 - 2*c**3 + 2*c**3 to the form r*c**2 + n*c**3 + z + k*c and give n. 57 Express 6*g - 4*g + g**3 + 2 - 2*g**4 + 0*g**3 as m*g**2 + q*g**3 + n*g + s*g**4 + c and give q. 1 Express (2 + 2 - 3)*(-x - x + 3*x + (-3 - 3 + 4)*(2*x + 0*x + 0*x)) in the form c*x + m and give m. 0 Rearrange -16 - 12 + 30 - 36*p**2 to y*p + a*p**2 + j and give a. -36 Rearrange (0*c**3 + 2*c**3 + 0*c**3)*(0 + 4 - 2)*(365 - 182 + 218) to f*c + k*c**2 + b + q*c**3 and give q. 1604 Rearrange (-5*u + 4*u + 3*u)*((-2 + 1 + 3)*(5 + 0 - 4) - 6 + 3 + 2)*(3 + 0 - 2 + (-4 + 0 - 1)*(1 - 2 + 0)) to the form s*u + w and give s. 12 Express (52 + 41*w - 52)*(-3*w - 2*w**3 + 3*w) in the form s*w**4 + k*w**3 + a + u*w + f*w**2 and give s. -82 Express -18*r**2 + 3 + 3 - 6 in the form o + b*r**2 + z*r and give b. -18 Rearrange (-2*v + v + 3*v)*(-3 + 5 - 9)*(-2 - 7 + 11) to the form k + d*v and give d. -28 Express -617 + 617 - 26*t**2 as c*t**2 + i*t + f and give c. -26 Express (-2*q**2 + 3*q**2 + 0*q**2)*(28 + 3 - 5)*(-5*q**2 + 3*q**2 - 2*q**2) in the form k*q**3 + c*q**2 + r*q**4 + h*q + v and give r. -104 Rearrange 1 - 9*z + 2*z**2 - z**4 + 0*z**2 + 8*z to the form m*z**4 + v*z**2 + g*z + b + a*z**3 and give g. -1 Express 4*g**2 - g**4 - g**4 - 2*g + g**3 + 0*g**4 - 7*g**2 as m*g**2 + k + f*g + a*g**4 + w*g**3 and give m. -3 Rearrange (-2 + 2 - 2*z)*(-4 - 2 + 5 + (5 - 5 + 1)*(3 + 0 - 1) + 2 - 4 + 9) to c*z + t and give c. -16 Express -3*b - 2*b - 20 - 41 + 3*b as a + q*b and give q. -2 Express 4*f + 4 - 4 - 25*f in the form m*f + w and give m. -21 Express 14*d - 11*d - 3*d + 27*d**2 as b + u*d**2 + g*d and give b. 0 Express p**3 - 3*p**3 - 3*p**3 + (3 - p - 3)*(p**2 + 4*p - 4*p) as w*p**3 + a*p**2 + f*p + q and give w. -6 Rearrange ((5 - 1 - 2)*(0 + 1 - 2) - 4 + 3 + 2 + 2 - 3 + 4)*(4*p**2 - 2*p + 2*p + (-p - 1 + 1)*(0*p + 0*p - p)) to c*p + a*p**2 + t and give a. 10 Express 12*v**2 - v + 1 + v**2 - v + 17*v**2 in the form t + y*v**2 + p*v and give t. 1 Express 17*w + 2 - 18*w - 1 - 13*w**2 as c + t*w**2 + u*w and give u. -1 Rearrange (11 - 24 + 9)*(2*l + 3*l - 7*l) to u*l + t and give u. 8 Express (t - 1 - 1 - 3*t)*(62*t - 62*t - 13*t**2) in the form i*t**3 + b + z*t**2 + j*t and give i. 26 Rearrange b - 3*b + b - 3*b + 2*b - b + (3 + 0 - 1)*(-b + 1 - 1) - 10*b + 6 - 6 + 5*b - b - 3*b to the form t + u*b and give u. -14 Rearrange (-t - 3*t + 3*t)*(t + 2*t**3 - t) + 6*t**4 + 2*t**4 + 0*t**4 to b*t**4 + a + p*t + x*t**3 + m*t**2 and give b. 6 Express 14*n**3 + 2*n**2 + 1 + 0*n**2 - 13*n**3 as y + v*n**2 + s*n**3 + o*n and give y. 1 Express (h - 4*h + h)*(5*h**3 - 4*h**3 + 0*h**3) - 22*h**4 - 66 + 66 in the form z*h**3 + b*h + a*h**4 + f + u*h**2 and give a. -24 Rearrange -144*z + 54*z + 4 - 2 to the form c + x*z and give x. -90 Express (-56 + 56 + 30*u)*(u + 3*u - u + (u + u + 0*u)*(-2 + 2 + 2) + 5*u + u - 4*u) in the form l*u + p*u**2 + t and give p. 270 Express -245*u**3 + 1 + u**4 + 245*u**3 + 7*u**2 as x + t*u**2 + r*u**3 + k*u + b*u**4 and give t. 7 Express 5*l + 4 - 4 as y*l + g and give y. 5 Express (-3*j**2 + 2 - 2*j - 3 - 1)*(-j - j + j) as l*j**3 + r + u*j + s*j**2 and give s. 2 Express -i**3 - 4*i**3 + 17*i**2 + 6*i**3 + (-2*i**3 + 0*i**2 + 0*i**2)*(1 + 1 - 1) as v + g*i + j*i**2 + x*i**3 and give x. -1 Rearrange 3 + 6 - 4 - 3*g + 4 to u*g + i and give i. 9 Express (4 - 4 - 2*v)*(0 - 2 + 0) + 7 - 7 - 3*v - 113 - 9*v + 113 in the form c + m*v and give m. -8 Express (-r + 3*r + r)*(3 + 8 + 0)*(1 + 2 - 5) as s + q*r and give q. -66 Rearrange 3*u + 21 - 2*u**2 + 3*u**4 - 19 - u to the form g*u**4 + i*u**3 + l*u**2 + k*u + m and give l. -2 Rearrange (-2*r - r + r + 6)*(2 - 2 - 2*r + (4*r - r - 2*r)*(-4 - 1 + 4)) to the form m*r**2 + n*r + l and give m. 6 Express (-q - 4*q + 3*q)*(-2 + 4 + 0) - 4*q - 1 + 1 + (-5*q - q + 4*q)*(-2 + 6 - 2) in the form c + o*q and give o. -12 Express (3*a - a**3 - 3*a)*(-2*a + 0*a + a) + (-3 + 0 + 1)*(5*a**4 + 4*a**4 - a**4) as z*a**4 + s*a**3 + l*a**2 + u + t*a and give l. 0 Express (-4 - a + 4)*(3 + 1 + 1)*(5 + 4 + 6) in the form o + d*a and give d. -75 Express (-2 + 1 + 0)*(-4 + 1 + 3*a**2 - 2*a + 4) in the form c*a**2 + z*a + w and give z. 2 Rearrange -2*j - j + 2*j + (0*j + j - 2*j)*(4 - 4 - 2) + (3 + 0 - 1)*(7*j - 51 + 51) to the form i + v*j and give v. 15 Express (4*b**3 + 0*b**3 - 2*b**3)*(3 - 5 - 15)*(-3 - 4 + 5)*(0*b + b - 3*b) as p*b**3 + o*b + i*b**2 + a + x*b**4 and give x. -136 Express 3*c**2 + 27*c - 27*c + 10 - 2*c**2 as j*c + h*c**2 + s and give s. 10 Express 4*m**3 + m**3 - 4*m**3 + (m - m - m)*(-m**2 + 3*m**2 + 0*m**2) as q*m**2 + d + g*m + v*m**3 and give v. -1 Express 78 + 37*a - 78 as u*a + h and give u. 37 Rearrange 3*q - 23 - 5
{ "pile_set_name": "DM Mathematics" }
14 = -z + j for z. 0 Solve 2*i - d - 16 = 0, 11752*i - d + 134 = 11684*i + 612 for i. 7 Solve 18 = -2*x + 4*k, 805*x + 3*k = 810*x + 30 - 6 for x. -3 Solve 4*k + 78 = 8*k + 2*g, 55*g - 50*g = -5*k + 95 for k. 20 Solve -3*o + 9 = 4*z, -3*z = o - 135778 + 135775 for o. 3 Solve -3*w - 6 = -4*v + 4*w, -4*v + 541 = -0*v + w + 551 for v. -2 Solve 2*q + 21 = j - 0*q, 15954*q = 3*j + 15947*q - 63 for j. 21 Solve -a + 73*i - 75*i = 41, 0 = -16*a + 4*i + 64 for a. -1 Solve -n + 1985 = 21*l - 87*l, -2*n = -10 for l. -30 Solve -2*y + 3*y + 230233 = -5*b + 230254, 5*b = 4*y + 41 for y. -4 Solve -242 = 405912*g - 405907*g + 2*x, 2*g + 4*x + 100 = 0 for g. -48 Solve x + 4*o = 39 + 50, 95*x - 1848 = 3*o + 5841 for x. 81 Solve r - 7*i - 1806 + 1843 = 0, -2*i + 70 = -4*r for r. -16 Solve 7*n + c = -n + 2*n + 3*n + 8, 3*n + 6*c = 18 for n. 2 Solve -41*x - 49*x - 1419 = 39*x - 2*z - 2*z, -22 = 2*x + 2*z for x. -11 Solve 2*m = -2*i + 24, -62*i + 6 = -61*i - 5*m for i. 11 Solve 7*u - 38 = 9*u - 4*m, 4*u + 2*m + 2*m = 68 for u. 5 Solve 0 = 6*b - 31843*q + 31845*q - 42, 2*b - 3*q + 19 = 0 for b. 4 Solve -172*z + 1 + 16 = 5*p - 173*z, -2*z - 50 = -12*p - 8 for p. 4 Solve 0 = -0*v + 2*v - 4*v - 3*x + 81, -2783*x + 2780*x = 5*v - 90 for v. 3 Solve 0 = k + t + 18, 22*k - 20*k - 60 = t + 3*t for k. -2 Solve -4*j + 593 = -439*t + 522*t, -3*j + 2*t - 5 = 0 for j. 3 Solve r + 0*r = -4*g + 74, -70331*r + 70333*r = 5*g - 99 for g. 19 Solve -203*x + 201*x = 2*u + 80, x - 160 = 5*x - 3*u for x. -40 Solve -5*x + d = 42*d - 728, -58*d - 54*d = -7*x - 113*d + 4 for x. -2 Solve -6*c - 5*a - 1029 + 948 = 0, -c = 3*a + 46 for c. -1 Solve 10 = -j - 3 - 4, -n = -12*j - 200 for n. -4 Solve -54*c - 330 = -5*i - 541, 0 = 2*i + i - 3 for c. 4 Solve -21*a + 16 = -3*v - 110, -v + 6*a - 12 = 9*a for v. -21 Solve 6*v + 40 = -3*z + v, -20*z - 4*v + 273 = 39*z - 2*v for z. 5 Solve -10*h + 166 = 514*c - 510*c, h - 10*c + 285 = 0 for h. 5 Solve -r - 182*u = -186*u + 33, -24*r + 10*r + 11*r - 5*u = -37 for r. -1 Solve -10 = 88*c - 85*c - 2*w + 7, 6*w - w = 2*c + 80 - 21 for c. 3 Solve f - 34*c - 125 - 79 = -36, -3*c = -f - 7 + 20 for f. -2 Solve 0 = -2*x - 5*y - 45, 128060*x + 10*y + 100 = 128055*x for x. -10 Solve -641*x - 2*f = -1909, -34*x + f = -31*x - 3 - 13 for x. 3 Solve 30*r - 25*r = n + 40, 16*n = 17*n + 3*r + 16 for n. -25 Solve -850*k + 852*k - 1 = 4*n - 13, 4*n - 6*n = 4*k - 6 for k. 0 Solve 29*m + 290 = -965*g + 963*g, -2*m - 40 = 2*m + 5*g for m. -10 Solve 4*x + 32 = -k, 33*x = 5*k + 36*x + 92 for k. -16 Solve -2493363 = -3*p + x - 2493310, 219 = 13*p + x for p. 17 Solve w + 4*w - 120 = 3*j - 87, 4*j + 270 = 82*w for w. 3 Solve 2*g + 5*s - 56 = 1 + 19 - 16, -2*g + 78 = -4*s for g. 35 Solve 0 = -18*w - 3*x + 243 - 54, 3*x - x - 16 = -2*w for w. 11 Solve 5*k - 245*j = 236*j - 477*j + 99, -42 = j + j for k. 3 Solve -791*g + 70 = -6*o - 350*g - 437*g, 0 = o + g + 20 for o. -15 Solve 310 = -5*p, -298 - 18 = -6*r + 5*p + 24 for r. 5 Solve 878 = 163*f + 7*a, -6*f + 3*f + 3*a + 398 = 410 for f. 5 Solve -2*r + 3*r + 3*r + 2 = 2*r, -114 = 4*s - 0*r + 2*r for s. -28 Solve -p + 1 = 2*f, -5*f + 19 = 162*p - 158*p for p. 11 Solve 4627971 = -4*h + 3*p + 4627928, 9*p - 49 = 4*h for h. -10 Solve -5*d = 2*m - 173, 1151*d = 1154*d - 2*m - 107 for d. 35 Solve -o - 1 = -2*o + 5*v + 1, -4*v = -29*o + 117*o + 268 for o. -3 Solve -4*z = 4*n + z - 66, 99*n - 469 = -38*n + 2*z + 59 for n. 4 Solve -j - 4*c + 417 = 616, -1272 = -234*j + 2*c for j. 5 Solve 5*z = -19*s - 86, 32*z + 26*z - 60*z - 8 = s for z. -2 Solve -4*u - 2*n = -8, -4*u + 1199*n + 24 = 1197*n for u. 4 Solve -z + 18*h - 43 = 0, 5*h - 15*h - 45 = -3*z - 14*h for z. 11 Solve 211 = 3*f + 45*j - 50*j, 2*f + 201 = -5*j for f. 2 Solve 40 - 110 = -5*w + 8*h, 120*w - h = 1680 for w. 14 Solve -4*k - k + 83 = p + 114 + 103, -76*p + 103 = -k for p. 1 Solve 0 = -5*b - 0*b - u + 38, -24*b - 15 + 47 = -21*b + u for b. 3 Solve -687 + 342 = 3*b - 333, b = 3*z + 14 for z. -6 Solve -5*c = -195, -54*v = 810*c - 814*c - 6 for v. 3 Solve -11 - 42 = 4*h + 5*q, 0 = -4*h - q - 58988 + 58987 for h. 3 Solve 0 = n + 42*k + 231, -30845*k = n - 30846*k + 16 for n. -21 Solve -4*i + 49 = -2*i - 3*w, 5*i - 3961*w + 3966*w = 110 for i. 23 Solve -10*b = -2*o - 22, -4*o = 2*b + 23 + 65 for b. -2 Solve 42 = 6*u, 137*n - 2*u = 140*n - 2 for n. -4 Solve 2*d + 96 = -6*a, -31*d + a + 30 = -36*d for d. -3 Solve 2*q + 3*p = p + 971869 - 971883, 2*q + 3*p = -17 for q. -4 Solve -21*d + 5 = 3*u - 19*d, -2*u + 1096*d - 1100*d - 2 = 0 for u. 3 Solve -3*o + 46 = -8*x, -o + 1943536 = 5*x + 1943559 for x. -5 Solve 0 = -11*j - 3 + 36, -6*s + 3*s + 12*j - 308 + 272 = 0 for s. 0 Solve 0 = 3*r - 2*a - 27, -200*r + 16*a - 16*a = -4*a - 1800 for r. 9 Solve -b + 15 = x, -3*x + 8*b - 42 - 45 = 77 for x. -4 Solve -20*t - 18*n = -3978 + 3310, 5*t = n - 31 for t. 1 Solve 38*v + 180 + 227 = -2*j + 333, -3 = 5*v + 4*j + 74 for v. -1 Solve 0 = 2*v + 2*v, 2 = 2*x + 490*v - 518*v - 4 for x. 3 Solve -26*a - 22*a + 46*a - 34*b = -240, -5*a + 2*b - 9 = 0 for a. 1 Solve -2209*j = 4*a - 2204*j + 7 + 41, 17*a = 13*a - 2*j - 36 for a. -7 Solve 2*j + 14 = -2*g, -24*j - 7*g = -18*j + 18 + 27 for j. -4 Solve -48 = -77*a + 78*a - 6*j, 0 = -3*a - 47*j + 50*j - 24 for a. 0 Solve -4*o = -2*t - 32, 5828*o + 61 = -4*t + 5833*o for t. -14 Solve -4*y + 32 = -3*k, -15*k = -13*k - y + 3 for k. 4 Solve -3*d - 11 + 3 = -2*b - 5, 8*b - 14 = 5*b - 5*d for b. 3 Solve 79*r + 50*y - 46*y - 219 - 77 = 0, 5*r + y - 15 = 0 for r. 4 Solve 2*k - 3*j = 12, -162 = -70*k - 3*j - 390 for k. -3 Solve 68826*j - 5*l = 68821*j + 10, 3*j + 34 = -5*l for j. -3 Solve g + 6*k = 78 + 44, -310 = -5*g - 15*k for g. 2 Solve -11*h - 4*m + 10 = 0, -5*h - 3816*m + 13 = -3817*m for h. 2 Solve 6*n + 332614*r - 120 = 332612*r, 5*r = -2*n + 53 for n. 19 Solve 111*h + 3*f + 1 = 111*h + 2*f, 5*h - 87*f - 67 = 0 for h. -4 Solve -2*h = -4*h + 7*l + 41 + 219, -6*l = -l + 190 for h. -3 Solve -3*h - 24 = 8*b, 0 = 3*h + 4*b + 66658 - 66634 for h. -8 Solve -22 - 28 + 176 = -4*b - 5*n, -354 = 6*b - 75*n for b. -34 Solve -63 = -4*t - 5*m - 40, -m + 67 = 6*t for t. 12 Solve 227*m + 2*a = 230*m - 16, 2*m + 4*a + 16 = 0 for m. 2 Solve 4*l - 63*f = -75*f + 64, -2*l = -203*f + 201*f for l. 4 Solve 7*g + 401 = 21*y - 23*y, 0 = 543*g + 544*g - 1090*g - 5*y - 176 for g. -57 Solve 3*j + h - 196 + 192 = 0, 10*h + 56 = 2*j for j. 3 Solve 0 = h - 2*z + 12, -12*z = -0*h + h - 8*z - 2 - 28 for h. 2 Solve 0*h + 3*h = 6*h - 8*g + 21, 0 = 5*h - 8*g + 19 for h. 1 Solve 5*x + q - 15881 + 15913 = 0, 0 = 2*x + 5*q + 45 for x. -5 Solve 4*d + 92 = 3*v, -6*d - d + 0*d = -2*v - 2*d + 66 for v. 28 Solve -48 = -13*s + 5*u, 0 = -5*s - 4*u - 19455 + 19432 for s. 1 Solve k + 12*c + 93 = 0, 30 - 8 - 94 = 5*c - 32 for k. 3 Solve 0 = 223*g - 222*g - 6*n - 43, 4*g - g - 129 = 83*n for g. 43 Solve 2*k = 48*y - 63 - 47, -21*k + 11*k - 51 = -13*k for y. 3 Solve 0 = -c - 3*a + 7, -5*c - 831 + 1653 = a + 801 for c. 4 Solve -4*f - 2 = -2*c, 518*f + 6 = -c - 509*f + 1036*f for c. 3 Solve -5*y + 1832*a - 1829*a + 55 = 0, 0 = 4*y + 6*a - 44 for y. 11 Solve 3*n + 3*g = 6, -3*n + 0*n + 1979*g - 1977*g + 6 = 0 for n. 2 Solve -5*b + q = 138, -3*b - 3365 = -4*q - 3272 for b. -27 Solve -4*j = 1092*t - 1089*t - 79 - 93, -t = 2*j - 86 for t. 0 Solve -2*f + o + 41 = 0, 4837*f + 0*o = 4844*f - 3*o - 144 for f. 21 Solve 4*k = -4*j, -3*j + 12 = 39*k + 36*k - 76*k for j. 3 Solve -86520*u + 86523*u + 137 = -4*r, 4*u + u = 25 for r. -38 Solve 0 = -2*g + 12*k + 4078 - 4146, 3*g - 4*g - 6 = 3*k + 10 for g. -22 Solve 4 + 21 = 5*k - 1883173*c + 1883172*c, 3*k - 17 = c for k. 4 Solve -40*b - 41*b + 34*g - 288 = -86*b, -3*b - 5*g = -142 for b. 44 Solve 28 = s + 4*k, -2*s - 1748*k - 24 = -5*s - 1750*k for s. 4 Solve -112073*t + 112076*t + 5 = -w, 5*t - 7 = 6*w for t. -1 Solve -3*j + 2*i = -3, -8*j = -4*j - 5*j - 5*i - 0*i + 1 for j. 1 Solve 0*x + 2*x - 3*x + 32 = 9*f, f + 2330 - 2343 = -2*x for x. 5 Solve 205*m - 202*m = 4*x + 21, 0 = -17*m + 3*x + 60 for m. 3 Solve -2*f + 4*b - 50 = 0, f + b - 437796 = -437776 for f. 5 Solve -6*j - 20 = -3*j + j + 8*f, -155*j + 150*j = 7*f + 13 for j. 3 Solve 0*j + 66 = 5*j - 203137*t + 203139*t, t - 3 = 5*j for j. 4 Solve 2*w - w + 37*p + 113 = -23*p, -p - 34 = -4*w + 2*p for w. 7 Solve 4*s - 5 = -3*
{ "pile_set_name": "DM Mathematics" }
-66 In base 10, what is -3 - -1634? 1631 In base 4, what is -11 + 202213? 202202 In base 13, what is -4 - 2807? -280b In base 16, what is -4 + 1d? 19 In base 5, what is -20 + -14? -34 In base 12, what is -31 - -30? -1 In base 10, what is -100 + -4? -104 In base 4, what is -1321 - -3? -1312 In base 7, what is 0 - 232? -232 In base 11, what is 109 + -4? 105 In base 3, what is 202 + 102? 1011 In base 2, what is -1 - -100101110110? 100101110101 In base 9, what is 5 - 6503? -6487 In base 7, what is -61 + -6? -100 In base 11, what is -23045 + -5? -2304a In base 6, what is 303 + -1? 302 In base 12, what is 2 - -18? 1a In base 13, what is 4 - -601? 605 In base 7, what is -11 - -2320? 2306 In base 16, what is 11 + 10c? 11d In base 14, what is -6 + 66? 60 In base 9, what is 5 - -8? 14 In base 6, what is -10133 - -5? -10124 In base 12, what is 37 - -63? 9a In base 10, what is 14784 - -5? 14789 In base 6, what is 4 - -245? 253 In base 10, what is -1 - -4? 3 In base 4, what is 1 - 3333? -3332 In base 16, what is -39 - 5? -3e In base 14, what is -1cb + 4? -1c7 In base 9, what is -1 - -301? 300 In base 14, what is -4 + 104? 100 In base 12, what is -43b4 - 1? -43b5 In base 4, what is 13 + 232300? 232313 In base 14, what is -ad + 3? -aa In base 10, what is 83 + 7? 90 In base 9, what is -5 - -76? 71 In base 7, what is 21 + 500? 521 In base 8, what is 6 - -15? 23 In base 12, what is 1 + 2966? 2967 In base 16, what is 3 - b6? -b3 In base 13, what is -46 + -3? -49 In base 11, what is 6 + -180? -175 In base 8, what is 4 - 53? -47 In base 16, what is d + -1f? -12 In base 12, what is 2 + -3a8? -3a6 In base 3, what is -20110 - 20? -20200 In base 4, what is -3 - -300? 231 In base 9, what is -118 - -14? -104 In base 6, what is -10 + 123? 113 In base 15, what is -100 - -2? -ed In base 9, what is -15 - -14? -1 In base 5, what is 2043 + 0? 2043 In base 14, what is -46 + -2? -48 In base 15, what is 1 + 1131? 1132 In base 11, what is -1 - -92? 91 In base 9, what is -5 - 18? -24 In base 5, what is -43303 + -1? -43304 In base 11, what is -238 - 4? -241 In base 3, what is 10200111 + 2? 10200120 In base 3, what is 11020 - -12001? 100021 In base 7, what is 151 - 2? 146 In base 13, what is -386 - 18? -3a1 In base 16, what is -3 - 54? -57 In base 7, what is -14 - 330? -344 In base 3, what is 1 + 21012? 21020 In base 4, what is 10322 - 22? 10300 In base 7, what is -112 + -65? -210 In base 4, what is -130 + 213? 23 In base 8, what is -7 - 137? -146 In base 10, what is 3 - -18? 21 In base 12, what is -111 + -1? -112 In base 7, what is -1264 + -4? -1301 In base 8, what is 33 - 310? -255 In base 8, what is 125 + -13? 112 In base 16, what is 2 + -722? -720 In base 14, what is 7 + 2b? 34 In base 11, what is 197 + -1? 196 In base 11, what is -707 + -40? -747 In base 16, what is 1 + 1b9? 1ba In base 13, what is -1a0 - 47? -217 In base 11, what is -14171 - 5? -14176 In base 4, what is -1212 + -20? -1232 In base 8, what is 20 - 60? -40 In base 10, what is -1552 + -4? -1556 In base 13, what is -1487 - 5? -148c In base 7, what is 5 - 502? -464 In base 6, what is 4350 + 3? 4353 In base 16, what is -2 - 10? -12 In base 14, what is 3 + 97? 9a In base 14, what is 5 - -4d? 54 In base 16, what is 23d + 3? 240 In base 7, what is -344 - 53? -430 In base 8, what is 4 - -7? 13 In base 16, what is -e - -e? 0 In base 2, what is 11 + 11111? 100010 In base 10, what is 193 - -4? 197 In base 15, what is -3 - 42e? -432 In base 3, what is 202 - -201? 1110 In base 2, what is 100 + 1001101010? 1001101110 In base 4, what is -11230122 + -2? -11230130 In base 13, what is 15 + 63? 78 In base 11, what is -521 - -2? -51a In base 13, what is 5 + -138? -133 In base 5, what is -1 - -1? 0 In base 7, what is 3064 + -4? 3060 In base 14, what is 0 + -523? -523 In base 11, what is 87 + -2? 85 In base 6, what is 2 + 315? 321 In base 3, what is 21 + 102001? 102022 In base 2, what is -111000001011 + -1? -111000001100 In base 2, what is 111110 + -110? 111000 In base 5, what is -3 + 1132? 1124 In base 11, what is 3 + -16aa? -16a7 In base 3, what is -21 + -11211? -12002 In base 13, what is 15 + 4? 19 In base 3, what is 10 + -1211000? -1210220 In base 12, what is 1b6 - 4? 1b2 In base 15, what is -11 + -164? -175 In base 2, what is 110000001 + 101? 110000110 In base 9, what is 37 - 5? 32 In base 16, what is -4 - -31c? 318 In base 4, what is -10110 + -20? -10130 In base 3, what is -21 + -220202? -221000 In base 4, what is 0 - 11? -11 In base 6, what is -4 + -400? -404 In base 11, what is 76 - -1? 77 In base 14, what is -60d - 7? -616 In base 7, what is -6046 + 3? -6043 In base 11, what is 70 - 105? -45 In base 2, what is -100111111110011 + -1? -100111111110100 In base 11, what is -5 + -14? -19 In base 8, what is -176 - 6? -204 In base 13, what is 16 + 40? 56 In base 11, what is -306 + 2? -304 In base 16, what is 279 - 2? 277 In base 14, what is -189 + -4? -18d In base 13, what is 148 - 3? 145 In base 13, what is -699 + 0? -699 In base 2, what is 1010010 + 101? 1010111 In base 5, what is -31 - -2? -24 In base 15, what is -918 + 1? -917 In base 12, what is -1 - -34? 33 In base 4, what is -1211 - 1120? -2331 In base 5, what is 333 - -4? 342 In base 12, what is -8 - -45? 39 In base 4, what is -3101 - 10? -3111 In base 15, what is -3 - -141? 13d In base 15, what is -d + d7? c9 In base 15, what is -e + -4? -13 In base 13, what is -69a - -5? -695 In base 7, what is -3562 - 1? -3563 In base 3, what is -10 + 10220002? 10212222 In base 12, what is 56 + 12? 68 In base 3, what is -12 - -1201? 1112 In base 8, what is 65 - 5? 60 In base 12, what is 565 - -3? 568 In base 2, what is -1001101101 - 101? -1001110010 In base 13, what is -1 - 1? -2 In base 10, what is -4998 - -1? -4997 In base 9, what is 4 - -247? 252 In base 13, what is 18 - -60? 78 In base 2, what is -100001110111010 + 10? -100001110111000 In base 4, what is 1000 - -103? 1103 In base 11, what is -5 - -226? 221 In base 4, what is -21 + 11002? 10321 In base 11, what is -250 + 0? -250 In base 11, what is 61 - 46? 16 In base 8, what is 210 + -3? 205 In base 14, what is -29bd + -2? -29c1 In base 14, what is 5b + 3? 60 In base 7, what is 4 + -12? -5 In base 6, what is 0 + 1501? 1501 In base 14, what is 10 - -7a? 8a In base 11, what is -86 + -1? -87 In base 7, what is 2 + -1? 1 In base 7, what is 312 - 11? 301 In base 8, what is 557 - 2? 555 In base 14, what is 233 - -6? 239 In base 8, what is 10 + -7205? -7175 In base 10, what is -4 + -110? -114 In base 11, what is -10 + -5? -15 In base 12, what is 7b - 7? 74 In base 8, what is 23 + -34? -11 In base 9, what is 262 + 0? 262 In base 13, what is 2 - 15? -13 In base 5, what is 31 + 4341? 4422 In base 9, what is 2 - -6? 8 In base 8, what is 11 + 7? 20 In base 3, what is 1202 - 1? 1201 In base 3, what is 1211 - -100? 2011 In base 4, what is 3 - -310? 313 In base 15, what is 1a - 15? 5 In base 15, what is -11a + 0? -11a In base 8, what is 1 - -12063? 12064 In base 10, what is 0 - -1336? 1336 In base 8, what is -126 + -1? -127 In base 5, what is 2300 - 1? 2244 In base 3, what is 1121 - -1101? 2222 In base 3, what is -10 - -120000? 112220 In base 11, what is -270 + 0? -270 In base 12, what is -197 + -2? -199 In base 12, what is -4 - 89? -91 In base 14, what is 9 - -2? b In base 16, what is 91 - 53? 3e In base 6, what is 40 - -3? 43 In base 10, what is 5 - 272? -267 In base 3, what is 10 + 220? 1000 In base 9, what is 102 + -1? 101 In base 4, what is 10 - 2? 2 In base 12, what is -1 - 5b? -60 In base 16, what is -809 + -2? -80b In base 8, what is -4 + -34? -40 In base 13, what is -3 + -2b0? -2b3 In base 14, what is 39 + -4? 35 In base 15, what is d + -3a? -2c In base 2, what is -110111100 - -101? -110110111 In base 15, what is 0 + 25? 25 In base 10, what is -9 - -1260? 1251 In base 8, what is 464 - 57? 405 In base 4, what is -3 + -13313? -13322 In base 13, what is 49 + 0? 49 In base 9, what is -13 + 148? 135 In base 4, what is -11 - 3121? -3132 In base 12, what is -2a - -1? -29 In base 3, what is -1011 - -102? -202 In base 15, what is -122 + 5? -11c In base 9, what is 13 + -62? -48 In base 2, what is 101001001010 - -11? 101001001101 In base 14, what is 4 + 4b? 51 In base 9, what is -2333 - 11? -2344 In base 2, what is -10 + -11010011? -11010101 In b
{ "pile_set_name": "DM Mathematics" }
1/51 Evaluate (((-3)/6)/(30/(-20)))/(10/(-30)). -1 (699/466)/((-5)/(1460/(-6))) 73 Calculate 6/(-2)*(1080/(-648))/((-1)/(-7)). 35 Calculate ((-3)/(-24))/((468/(-216))/((-22)/(-33))). -1/26 Calculate (-44960)/(-47208)*(-1)/(-10). 2/21 What is the value of 10*66/(-220)*(-8)/(-72)*39? -13 12/(-16)*(-775)/15*(-20)/(-25) 31 138/(-21413)*-49*3/27 2/57 What is ((-97)/776)/(15/(40/8))? -1/24 What is ((-24)/10)/(8/50*(-70)/(-112))? -24 What is 2/6*5682/(-15152)? -1/8 Evaluate ((-6)/16)/((-987)/(-113176)). -43 What is the value of 31906/(-1204)*(-2)/1? 53 3/(180/(-530))*12/(-8)*4 53 What is the value of (2/18)/((4*4)/(260/(-2665)*-164))? 1/9 Calculate ((-539)/(-132))/(34/408). 49 Evaluate (8/(32/6))/(1/20)*(-101)/202. -15 What is -6*((-11)/4)/(-11)*1/(18/80)? -20/3 6*((-1)/6)/(((-1)/18)/((-101)/(-2121))) 6/7 (297/63)/((104/(-1092))/((-2)/(-3))) -33 What is the value of (((-3)/(-12))/((-30)/192))/((-2)/55)? 44 Evaluate (105/(-150))/(((-3570)/(-520))/(-51)). 26/5 What is (164/(-3))/(6/11*3168/(-2592))? 82 Calculate (-10)/4*6/(-2)*808/(-69690). -2/23 Calculate (-80)/(-12)*2/4*(-2781)/(-515). 18 What is the value of 66*(-1)/5*(-14785)/(-2957)? -66 (((-10)/(-3))/((-590)/(-177)))/((-6)/11) -11/6 What is (-3403491)/(-16029)*18/(-26)? -147 Evaluate 1/(((-1540)/(-5775))/(8/(-6))). -5 (-104)/26*24/(-4560) 2/95 Evaluate 249/(-21912)*72/(-18). 1/22 Evaluate 10/(-250)*-20*(-14)/756*-45. 2/3 ((-1)/(-40))/(8/(-50))*36/30 -3/16 What is 56/49*20/(-80)*182? -52 What is (-342)/(-5244)*-69*28/6? -21 Calculate (2/(-3)*-3*(-1)/1)/((-23216)/1242056). 107 Calculate (3/21*(-7266)/(-692))/(1/20*-2). -15 What is the value of ((-8)/48)/(25/1725)? -23/2 What is the value of (1326/6188)/((-6)/256*-4)? 16/7 (-427)/(-122)*15*2/(-84) -5/4 (12/(-80))/((-118)/((-47200)/(-1950))) 2/65 Evaluate (6*(-2)/(-28)*30856/3306)/(-124). -1/31 What is (5*23/(-115))/(32/(-320)*(-4)/22)? -55 What is the value of (70/(-6))/(1500/600)*(-9)/161? 6/23 (9/(-12))/((-84)/3822*14/(-16)) -39 What is the value of (-36556)/(-962)*(-9)/(-1482)? 3/13 What is ((-44)/4158*-6)/(6/168)? 16/9 What is the value of (78/975*-10)/74? -2/185 What is the value of (7600/(-38))/(-4)*(-45)/25? -90 What is the value of ((119/238)/((-3)/2))/((-2)/78)? 13 Calculate 485/(-582)*(-7056)/1820. 42/13 Evaluate (-2)/(795/159*7/(-5)). 2/7 What is the value of ((-4)/20*-4)/(((-10881)/1365)/(-31))? 28/9 What is ((-105)/20)/(6/4)*(-2756)/371? 26 Calculate (((-1)/3)/((1560/(-90))/(-52)))/(14/(-266)). 19 (-27)/9*(70/(-1386))/(15/(-18)) -2/11 What is the value of 6/((-3)/(-310)*-4*24/((-600)/125))? 31 (-90)/8*(-14)/(-9912)*59*(-4)/(-6) -5/8 (60/(-9))/4*(12255/22325)/(-43) 1/47 Evaluate 19/(-171)*-531*30/30. 59 What is (585/78)/5*32/(-696)? -2/29 What is the value of (-102)/8*(-57)/(3819/268)? 51 Evaluate 72/(-6)*(-2187)/972. 27 Evaluate (2/(-1)*132/(-792))/(99/(-81)). -3/11 What is the value of -21*3*(-300)/(-46900)*-67? 27 What is the value of 1/1*4*(2014/4028)/(26/(-4))? -4/13 What is the value of (-2)/8*((-2574)/28886)/(18/(-16))? -2/101 (32*34/(-3808))/((-310)/(-14)) -2/155 345/(-2346)*-17*-10 -25 What is the value of ((-12)/(-105))/((-3)/(-84)*18/(-9)*6)? -4/15 Evaluate ((-72)/(-108))/((234/(-1365))/((-12)/(-21))). -20/9 150/(177/(10620/(-200))) -45 Evaluate (-61*144/138348)/(2/(-27)). 6/7 What is the value of (12/(-1))/(78/(-4992)*-16)? -48 Calculate (34/765)/((56/(-63))/(((-5040)/81)/8)). 7/18 What is the value of ((-2)/64*-24)/((3240/(-512))/(-15))? 16/9 Calculate (-405)/28431*27*9/(45/22). -22/13 (10672/2070)/(-58)*9/(-10) 2/25 Calculate (2/(-4))/(281925/15036). -2/75 What is the value of ((-109)/(8066/1184))/4? -4 What is the value of -4*63/(-864)*-6*(-32)/3472? 1/62 Calculate ((-45)/(-10))/(((-168)/32)/(210/240)). -3/4 (-444)/(-44)*(-11627)/3171 -37 What is the value of (((-12)/(-14))/((135/(-42))/(-1)))/(120/20)? 2/45 What is the value of (-1)/((-9)/(-3))*(-2988)/(-72210)? -2/145 Calculate 15/(-45)*153/(-204). 1/4 What is the value of (-16)/(-44)*6534/216? 11 Calculate ((-77)/(-77))/((80/25)/(-4)). -5/4 (1/(-3))/(4127/70159) -17/3 What is the value of (-35581)/(-1547)*(2/1)/(2/1)? 23 What is the value of (((-63)/(-7))/27*5/(-5))/((-2)/2)? 1/3 ((-4)/(-12))/(((-8692)/(-106))/3034) 37/3 What is 63/(-6)*(-360)/175*(-105)/63? -36 What is the value of ((-840)/(-252))/(25/315)? 42 Evaluate (((-3)/675)/(-7*7/147))/((-5)/(-6)). 2/125 What is the value of 20/15*(435/(-870))/((-1)/129)? 86 Calculate -22*4028/(-6688)*((-16)/2)/2. -53 What is the value of ((-1616)/(-202))/(224/(-1372))? -49 What is the value of (-95)/190*(-2)/(5/(1*-280))? -56 Calculate (7/(-63))/((-110)/(-16830)). -17 (((-35)/(-56))/(1710/(-1368)))/((-3)/(-19)) -19/6 What is the value of 512/(-56)*69972/(-4704)? 136 Evaluate (42/(-5))/(22/(-10)*660/(-3630)). -21 Evaluate 11190/(-29840)*(-32)/(-726). -2/121 What is 417/2502*(-20)/60? -1/18 Calculate 2/(((-7)/(-3))/((-5684)/(-168))). 29 Calculate ((-3064)/(-29874))/((5/1)/15). 4/13 What is the value of ((3/(-4))/(3/(-2)))/((-29529)/78744)*12? -16 Calculate ((-3)/7*1)/((-245572)/23548). 3/73 Evaluate ((-992)/(-434))/(132/2310). 40 What is ((135/132)/5)/((-352)/3872*(-132)/8)? 3/22 Calculate ((-18)/(-28))/(10*(-297)/(-13860)). 3 ((-12)/(-32))/((-306)/(-26928)) 33 (221/(-13))/(255/(-570))*-3 -114 (105/(-49))/(10755/240912) -48 Calculate (-7)/(98/7)*(-154)/(-847). -1/11 Calculate (168/15)/(36*(-17)/340). -56/9 Calculate (37*(-4)/14)/(8800/3080)*-10. 37 Evaluate ((-10166)/(-221))/(((-3)/(-2))/(3*2/(-8))). -23 Calculate ((378/(-9))/(-84))/(-2*7/756). -27 What is (-19)/(12445/(-30))*10*6/(-180)? -2/131 What is the value of 8/(-6)*(-11745)/(-1740)? -9 Calculate (1/(-195)*-40)/((-128)/288). -6/13 Evaluate (-14)/(-54)*48240/(-14070). -8/9 ((-2)/8)/(-105*(-118)/346920) -7 Calculate (-22)/66*10/(110/11)*(-684)/(-4). -57 What is the value of 280/2100*27/(-3)? -6/5 What is (172/(-387))/((54/(-1053))/(-2))? -52/3 Calculate 4/(-3)*(-22660)/95040*-324. -103 What is ((-1)/(-23))/((-51)/102)? -2/23 What is the value of (-177)/531*561/17? -11 Evaluate ((-1031)/(-179394))/(4/(-64)*4). -2/87 Evaluate 24/(186/(-15686)*-23). 88 Evaluate 1/9*(7/2)/(2240/4800). 5/6 Calculate (114144/(-64))/(-41)*6/(-45). -29/5 What is ((-1)/(-8)*(-112)/42)/(8/(-54))? 9/4 Calculate (-1149)/1915*(-5)/(-117). -1/39 What is (-38)/((-4)/(-21)*(-15610)/(-4460))? -57 What is the value of (-6)/(-288)*8*-56*-36*9/(-54)? -56 Evaluate ((4/15)/(152/1140))/((-12)/(-90)*3). 5 What is the value of ((-6)/((-3)/1))/((-652)/2608*16/(-170))? 85 Evaluate -6*((-12765)/(-1887))/(-115). 6/17 Calculate ((-10)/1)/(((-175)/200)/(1575/(-1500))). -12 Calculate (1368/(-798))/(4/14). -6 Evaluate 1197/7*((-10)/30)/(22/22). -57 Evaluate ((-7)/(-2)*1089/(-2541))/((-1)/24). 36 What is (((-984)/19844)/((-10)/44))/((-7)/(-77))? 12/5 Calculate (((-3120)/740)/13)/(-8*(-10)/40). -6/37 Evaluate (3/10)/((-68148)/511110). -9/4 Evaluate (5/2*24/(-70))/((-11)/(3773/(-140))). -21/10 Evaluate (22680/(-1512))/(18/10)*1/(-45). 5/27 What is the value of ((-24)/(520/(-130)))/((-12)/(-62))? 31 What is the value of (((-5)/76)/1)/(((-21115)/328)/103)? 2/19 Evaluate ((-2)/(-91))/((-24)/(-42)*58/(-464)*1). -4/13 (-40)/(-14)*28/(-1050)*(-30)/12 4/21 What is the value of 6/140*14/(-24)*(-198)/627*19? 3/20 What is the value of (-6)/(((-10)/((-120)/36))/3)? -6 What is the value of 1080/(-405)*(36/(-3))/(-72)? -4/9 (203/(-14))/(((-33)/(-12))/(3894/708)) -29 Evaluate (1680/64)/(45/(-30)). -35/2 Calculate -57*12*(-2)/(-30)*130/(-104). 57 Evaluate (84/(-1260))/(1/(-6))*20/168. 1/21 What is the value of (46116/168)/(-61)*56/567? -4/9 What is (-1749)/(-106)*(-4)/(-12)*-8? -44 Calculate (405/243*-171)/(-5). 57 Evaluate (-6*(-5)/390)/(1792/1664). 1/14 What is 2/((6/(-88))/((-71)/8591*-198))? -48 What is (-23)/(-3542)*63*152/(-342)? -2/11 What is the value of ((-2)/9)/((-80)/((-56880)/6083))? -2/77 Calculate -1*-6*(-15)/(-180)*(-20)/55. -2/11 What is the value of (15/3)/(3395/(-65863))? -97 (1/(-2))/((-252)/(-936))*((-1344)/182)/16 6/7 Evaluate (19360/(-44))/110*34/(-40). 17/5 What is (13/((-884)/16320))/(-3)? 80 Calculate ((-95)/(-133)*34)/((-65)/(-182)). 68 What is the value of (-1*2/((-60)/(-2)))/((-4)/((-36)/7))? -3/35 36/450*7000/14 40 Calculate (3/((-108)/(-6)))/((-4)/(-64)). 8/3 Calculate (1399/(-4197))/(2/(-192)). 32 Calculat
{ "pile_set_name": "DM Mathematics" }
ve of f**3*g**2 + 5*f**3*g + 11*f**3 - 27*f**2*g**2 - f**2*g wrt g? 2*f**3 - 54*f**2 Find the third derivative of b**6 + 1006*b**4 - 2*b**3 - b**2 - 3*b - 260 wrt b. 120*b**3 + 24144*b - 12 What is the second derivative of -431*j**3*s**3 + 220*j**3*s - 4*s**3 + 10*s wrt s? -2586*j**3*s - 24*s Find the third derivative of 7*q**6*t + 2*q**4*t**2 + q**2*t**2 - 7*q**2*t + 10*q*t**2 wrt q. 840*q**3*t + 48*q*t**2 Differentiate -4*m*z - 10663*m + 453*z with respect to z. -4*m + 453 Find the third derivative of -904*j**3*q**6 + 2*j**3*q - j*q**6 + 3*j*q + 317*q**2 + q wrt q. -108480*j**3*q**3 - 120*j*q**3 What is the third derivative of -c**5 - 3063*c**4 + 1056*c**2 - c? -60*c**2 - 73512*c Find the first derivative of i**3*o**2*u - 2781*i**3*o*u - 31*i**3 - 164*i**2*o**2 wrt u. i**3*o**2 - 2781*i**3*o Find the third derivative of -290*d**5 - 671*d**2. -17400*d**2 What is the derivative of -145*b + 67 wrt b? -145 Find the third derivative of 24857*n**3 + 7302*n**2 wrt n. 149142 Find the second derivative of 984*l**4 + 8*l + 1. 11808*l**2 Find the third derivative of 2574*t*u**6 - 24*t*u**2 - t*u wrt u. 308880*t*u**3 What is the first derivative of -j*l*z**2 + 275*j - 5*l*z**2 - 11*l - z**2 wrt l? -j*z**2 - 5*z**2 - 11 What is the third derivative of -2*h**6 - 444*h**3 + 606*h**2 wrt h? -240*h**3 - 2664 What is the second derivative of 4*g**3*h**3 - 30*g**3 - g*h**2 - 10*g*h + 2*h**3 wrt g? 24*g*h**3 - 180*g What is the second derivative of -13*b**5 + 90*b**2 + 5*b + 533? -260*b**3 + 180 What is the second derivative of 206*a**2*q**3 + 2*a*q**3 + 8*a*q wrt a? 412*q**3 What is the second derivative of -23*c*v**2 - 2*c - 13*v**3 + 5*v wrt v? -46*c - 78*v Find the first derivative of w**4*y**3 + 1658*w**2*y**2 - 2381*y**3 wrt w. 4*w**3*y**3 + 3316*w*y**2 What is the third derivative of 2*h*r**5 + 693*h*r**4 + 2*h*r**2 + 9*h*r + 54*r**2 wrt r? 120*h*r**2 + 16632*h*r Find the third derivative of -93*p**4 + p**3 - 1011*p**2. -2232*p + 6 Find the third derivative of 335*d**3*j*v**3*y - d**3*y**2 + 2*d**2*j*v**3 + 7*d**2*v*y**2 - 4*d**2*v*y - 11*d*j*v*y**2 wrt d. 2010*j*v**3*y - 6*y**2 Find the second derivative of -5*c**3*v**3 - 28*c**3*v + 25*v**4 + 2*v wrt v. -30*c**3*v + 300*v**2 What is the second derivative of -6502*z**2 - 10423*z wrt z? -13004 Find the third derivative of 87*g**5 - g**2 - 17. 5220*g**2 What is the derivative of -75*a**3 - 194 wrt a? -225*a**2 What is the first derivative of 204*j**4 - 2642 wrt j? 816*j**3 Find the third derivative of 3*k**2*r**3 - 552*k**2*r + k*r**3 + 94*r**3 - 3*r**2 wrt r. 18*k**2 + 6*k + 564 What is the first derivative of 4*d*n**4 + 220*d*n + 113*d + 3*n + 10 wrt n? 16*d*n**3 + 220*d + 3 What is the second derivative of 87*x**3 - 3*x**2 + x + 1452 wrt x? 522*x - 6 Find the first derivative of 190*c**3*i**3 + 2*c**3 + 228*i**3 - 2*i**2 wrt c. 570*c**2*i**3 + 6*c**2 Find the second derivative of -451*a**3*v**2 - 2*a**3 - 924*a*v**2 - 2*a*v wrt a. -2706*a*v**2 - 12*a Differentiate 1481*h*j - 2269*h wrt j. 1481*h Find the second derivative of -142*y**2 - 10*y - 34 wrt y. -284 Differentiate -1315*f - 1173 wrt f. -1315 Find the first derivative of -4*k**3*u + 834*k**3 + 66*u - 2 wrt u. -4*k**3 + 66 What is the third derivative of 6*l*x**3*z**3 - 4*l*x**3*z**2 + l*x**2*z**2 + l*x*z**3 - x**3*z + 23*x*z**3 wrt x? 36*l*z**3 - 24*l*z**2 - 6*z Differentiate 87*f**2 - 2*f + 1392. 174*f - 2 What is the derivative of -i**2*j**3 + 22*i**2*j**2 + 98*j**3 + 2*j**2 wrt i? -2*i*j**3 + 44*i*j**2 What is the third derivative of -14*g*h**4 + 3*g*h**3*l**2 - 3*g*h**2*l + 20*g*h*l**2 - h**5 - l wrt h? -336*g*h + 18*g*l**2 - 60*h**2 What is the first derivative of 4*g**3*v**3 - 451*g**3 - 10*v**4 wrt v? 12*g**3*v**2 - 40*v**3 Find the second derivative of -136*b**2*q**2 - 6*b**2*q + b**2 - 8*b*q wrt q. -272*b**2 Differentiate 878*u**3 + 4*u**2 - u - 11186 with respect to u. 2634*u**2 + 8*u - 1 What is the derivative of c**3 + 2217*c + 15875? 3*c**2 + 2217 Find the second derivative of -64*q**4 - 10*q**3 + 1823*q. -768*q**2 - 60*q Differentiate 3*b*k*q**3 + 21*b*k - 10*b*q**3 + 6*b*q**2 - 12*b + 4*k**2*q**3 wrt k. 3*b*q**3 + 21*b + 8*k*q**3 Find the second derivative of -138*y**2 + 34*y + 1. -276 What is the third derivative of 98*o**3*w**3*x**3 - o**3*x**3 + 5*o**3 + 6*o*w + 2*w**3*x**2 - x**2 wrt x? 588*o**3*w**3 - 6*o**3 Find the second derivative of -789*g*j**2 + 2*g*j - 12*g - 2 wrt j. -1578*g Find the third derivative of -22392*z**3 - 18607*z**2 wrt z. -134352 Find the third derivative of -7*l*q**2*w**3 + l*q**2*w - l*q**2 - 3*l*q*w**2 + 23*l*q*w - 65*l*w**3 - q**2*w**3 + w wrt w. -42*l*q**2 - 390*l - 6*q**2 What is the second derivative of -m**5 - 131*m**3 + 599*m wrt m? -20*m**3 - 786*m Find the third derivative of 215*s**6 - 1401*s**2 wrt s. 25800*s**3 Find the first derivative of 1279*d**2*p**2 + 16145*d**2 - d*p**2 wrt p. 2558*d**2*p - 2*d*p What is the derivative of 75*z**3 + z**2 + 382? 225*z**2 + 2*z What is the second derivative of -309*x**4 - x**3 + 53*x - 8? -3708*x**2 - 6*x What is the first derivative of 375*m**2*w + 13*m**2 - 3 wrt w? 375*m**2 Find the second derivative of 119*c**2*h**5 + 9*c**2*h + 2*c**2 + 2*h wrt h. 2380*c**2*h**3 What is the third derivative of -4*g*m**3 - 116*g*m**2*v - 5*g*v + 3*m**5*v + 3*m**3*v wrt m? -24*g + 180*m**2*v + 18*v Find the first derivative of 5*u**4*v - 2*u**3 + 5*u*v - v + 26 wrt u. 20*u**3*v - 6*u**2 + 5*v What is the second derivative of -138*t**3 + 2*t**2 + 195*t wrt t? -828*t + 4 Find the second derivative of 480*m**4 + 673*m. 5760*m**2 What is the first derivative of 273*q**4 - 6? 1092*q**3 Differentiate 33*k**3*r*x + 58*k**3 - 2*k**2*r + 2*k*r*x**3 + 3*k*x**3 + x**3 with respect to r. 33*k**3*x - 2*k**2 + 2*k*x**3 Find the second derivative of -2*k**3*y + 28*k**3 - k**2*y - 7*k*y - 8*k wrt k. -12*k*y + 168*k - 2*y What is the third derivative of 639*u**5 + u**4 + 784*u**2? 38340*u**2 + 24*u Find the second derivative of -4*c**5*q + 1299*c**4*q**2 - 17*c - 10*q**2 - q + 8 wrt c. -80*c**3*q + 15588*c**2*q**2 Differentiate -4770*m*n*r - 2*m*r + n*r + n + 7*r + 4 with respect to m. -4770*n*r - 2*r Find the third derivative of 214*s*x**5 - s*x**2 - 5*x**5 + 80*x**2 wrt x. 12840*s*x**2 - 300*x**2 What is the third derivative of 7522*q**3*t**3 - 2*q**3 + 2*q**2*t**2 + q*t - 301*q - 2*t**3 wrt t? 45132*q**3 - 12 Find the second derivative of 2909*o**4 - 30*o - 2 wrt o. 34908*o**2 Differentiate -1082*n - 1672 with respect to n. -1082 What is the third derivative of 2*u**6 - 2193*u**4 + 33*u**2 - 2*u - 1? 240*u**3 - 52632*u What is the second derivative of -21*d**2 + 292*d? -42 What is the third derivative of 9*l**2*n**3*t + 2*l**2*n**2*t + 4*n**6 - 67*n**2*t - n wrt n? 54*l**2*t + 480*n**3 Find the second derivative of -2*t*w**4 + 6*t*w**2 + 6105*t*w + 79*w**4 wrt w. -24*t*w**2 + 12*t + 948*w**2 Differentiate -5*i**3 - 17*i**2 + 202 wrt i. -15*i**2 - 34*i What is the third derivative of 149*v**4 - 39*v**2? 3576*v Find the third derivative of 253*b**6 + 3*b**2 - 26. 30360*b**3 Find the third derivative of 2038*m**5 - 495*m**2. 122280*m**2 Find the third derivative of 212*i**6 - 178*i**2 - 2*i wrt i. 25440*i**3 What is the derivative of 3*f**2*o**3 - 22*f**2*s + 8*f*m*s - 2*m*o**3*s + 2*m*o**2 + 80*o**3 wrt s? -22*f**2 + 8*f*m - 2*m*o**3 What is the third derivative of -4125*r**4 - r**3 - 22*r**2 + 2*r? -99000*r - 6 Differentiate -20*x**2 + x + 1797 with respect to x. -40*x + 1 What is the first derivative of -8*b**3 - 141*b**2 + b - 3954 wrt b? -24*b**2 - 282*b + 1 What is the third derivative of 39*b**3*i + 18*b**3 + 2*b**2*i + 253*b**2 - b*i wrt b? 234*i + 108 Find the second derivative of -96*l**2 - l + 58 wrt l. -192 What is the derivative of -25*o**2 + o - 433? -50*o + 1 What is the second derivative of 109*i**2*k**2*t - i**2*k*t**2 - 2*i**2*t**2 + 2*i*k**2*t**2 + 9*k wrt k? 218*i**2*t + 4*i*t**2 Find the third derivative of 143*c**5 + 639*c**2. 8580*c**2 Differentiate 2*j**3*n + j**3 - 2*j**2*o + 3*j*o + 54*n*o wrt n. 2*j**3 + 54*o Find the third derivative of -2199*c**2*i**3*y - 2*c**2*i**3 + c**2*i*y + c**2*i - c*i**2*y - 1275*i*y wrt i. -13194*c**2*y - 12*c**2 What is the third derivative of 423*m**6 - 443*m**2 wrt m? 50760*m**3 What is the third derivative of -1623*u**6 -
{ "pile_set_name": "DM Mathematics" }
a. Suppose -5*s - f = -2*f - 8, -3*f = -a. What is the units digit of s? 2 Suppose -5*q + 3*q = 0. Let j = 4 - 6. What is the units digit of q + (-5)/(j - -1)? 5 Let m be (-1 + 0)*(-198)/9. Suppose -b - 5 = 4*b. What is the tens digit of b*(3 - m)*1? 1 Let i = -39 - -55. Let t = 5 - 13. Let x = i + t. What is the units digit of x? 8 Let n be 2/(-7) + (-35)/49. Let v(z) = 21*z**2 + z + 1. What is the tens digit of v(n)? 2 Let t = -22 - -37. Suppose 4*v = t + 33. What is the units digit of v? 2 Let j(u) = 3*u - 14. Let h be j(11). Suppose 0 = q - 2*t, -3*q - t + h = -2. What is the units digit of q? 6 Let v = 0 - 0. Suppose q + 2 - 3 = v. What is the units digit of q? 1 Suppose 0*b - 2*b = -d + 86, -d - 4*b + 86 = 0. What is the units digit of d? 6 Let h(u) = -u**3 + 5*u**2 + 7*u. Let l be h(6). Let n be 26/l + 5/(-15). Suppose 0 = -n*r - r + 5. What is the units digit of r? 1 What is the tens digit of (-3 - (-1 + 2)) + 82? 7 Let m(g) be the second derivative of g**5/20 - 11*g**4/12 + 6*g**2 + g. What is the units digit of m(11)? 2 Let m = -15 - -22. Let s(t) = 0*t + 3 + 2 + t. What is the tens digit of s(m)? 1 Let j(g) = -g**2 + 10*g + 10. What is the tens digit of j(9)? 1 Let u be 0 - (0 + 0) - -2. Suppose 2*r = -u*r + 12. What is the units digit of r? 3 Let n(t) = 2*t**2 - 5*t + 6. Let g = -9 - -13. What is the tens digit of n(g)? 1 Let b = -16 + 90. What is the units digit of b? 4 What is the tens digit of -76*((-32)/(-24) + (-11)/6)? 3 Suppose -5*f - 20 = 0, 3*d + 2*f = -2*d + 2. What is the units digit of d/(-3) - (-26)/3? 8 Let a = 100 - -149. What is the tens digit of a? 4 Suppose 4*o = -3*x + 24, -3*o - 11 = -2*o + 5*x. What is the units digit of o? 9 Suppose 0 = -4*f - 35 + 155. Suppose p + f = -a, 10*a + 144 = 5*a - 2*p. What is the units digit of (a/(-6))/((-4)/(-6))? 7 Let y be (2 + 1)*6/2. Let s(x) = x - 19. Let f be s(y). Let l = -1 - f. What is the units digit of l? 9 Let v = -6 + 11. Suppose v*t + 4*l = -0*l + 15, 5*t + 2*l - 5 = 0. Let z(p) = -7*p + 1. What is the units digit of z(t)? 8 Suppose 0 = -d + 11*d - 940. What is the tens digit of d? 9 What is the tens digit of (-56)/(-35)*(-30)/(-4)? 1 Suppose 0 = -8*u + 3*u + 630. What is the tens digit of u? 2 Let g(r) = 7*r + 6. Let p be g(6). Suppose 4*s - p = 5*m, 3*m + 0*m + 12 = 0. What is the units digit of s? 7 Let q(l) = l - 4. Let o = 18 - 11. Let d be q(o). Suppose -2*p - x + 21 = -0*p, -d*x = -p. What is the units digit of p? 9 Let p(c) = c. Suppose 0 = -i + 10 - 3. What is the units digit of p(i)? 7 Let v = 24 + -13. Suppose 0 = -4*y + v + 25. Let f = 17 - y. What is the units digit of f? 8 Let g = 34 - 23. What is the units digit of g? 1 Suppose 0 = -3*o + 40 + 230. What is the tens digit of o? 9 Let h = -6 - -10. Suppose -y - 3*b - 2*b + 19 = 0, h*y = b + 13. Let l = y - 2. What is the units digit of l? 2 Let o be (2/(-5))/(2/(-10)). Suppose o*y - 17 - 7 = 0. Suppose 0 = 3*w - 0*w - y. What is the units digit of w? 4 Suppose 4*f - 160 = -2*k + 614, -5*k = f - 189. What is the units digit of f? 4 Let g = -6 - -8. Suppose 0 = -5*a + q + g*q + 17, -2*a - q = -9. Suppose v = a*v - 24. What is the units digit of v? 8 Let g be 4*(-1)/2 + 4. Suppose l = -g*i + 7*i - 10, -3*l = 3*i - 24. What is the units digit of i? 3 Let p(q) = -7*q**2 + 9*q + 3. Let j = -12 + 17. Let k(c) = -4*c**2 + 5*c + 1. Let r(l) = j*k(l) - 3*p(l). What is the units digit of r(5)? 1 Let y = 21 + -13. What is the units digit of y? 8 What is the tens digit of 1/(-6) - (-605)/30? 2 Suppose 348 = 3*h - 0*h. What is the tens digit of h/6 - 3/9? 1 Suppose 3*x + 243 = 6*x. Suppose 2*y + x = 3*t - 0*y, 3*t = -4*y + 81. What is the units digit of t? 7 Let d be ((0 + 1)*-2)/(-2). Let y be d + 1 + (-11)/(-1). Suppose y = 4*w - 7. What is the units digit of w? 5 Let v(g) = g**3 + 11*g**2 + 15*g + 16. What is the units digit of v(-9)? 3 Let c(h) = h - 8. Let l be c(13). Suppose 91 = 4*t - 5*z, -94 = -t - 3*t + 2*z. Suppose -l*o + t = 4*u, -7*o + 3*o = u + 5. What is the tens digit of u? 1 Let c be (2 + 1)*(2 - 1). Let w = 3 - c. Let g = 5 - w. What is the units digit of g? 5 Let q(s) = 2*s - 9. Let i be q(6). Let c be (-1)/1*1*1. Let v = i + c. What is the units digit of v? 2 Let l(o) = -2*o - 2. Let z be l(-2). Suppose -3*g + 5*j + 94 = 0, -2*g = 5*j - z*j - 31. What is the tens digit of g? 2 Let b be -2 - (-10)/2*1. Suppose -4*m - 5*a + 11 + 1 = 0, 0 = -m + b*a + 20. What is the units digit of m? 8 Let a = -14 - -25. Let j = a - 0. What is the units digit of j? 1 Suppose -1 = r - 3. Suppose 4*p - 46 = -2*x, -r*p = 2*x - 9 - 35. What is the tens digit of x? 2 Suppose -2*m = -m - 3*g - 7, -3*m = g - 51. What is the tens digit of m? 1 Suppose -5*r + 2*r + 153 = 0. What is the tens digit of r? 5 Let i = 60 - 13. What is the units digit of i? 7 Suppose 1 = -2*c + 9. Suppose 3*x + 3*g = 132, -c*g + g - 52 = -x. What is the tens digit of x? 4 Suppose 0 = -4*f + 3*f + 7. Suppose 2*o = f*o - 65. What is the tens digit of o? 1 Suppose 0*l + 12 = 3*l. Suppose -5*w + 11 = p + 46, -l*p - 5*w = 65. What is the tens digit of 3*(-1)/(-3) - p? 1 Suppose -42 = -2*k - k. What is the units digit of k? 4 Suppose 3*p + 5*n = -8, 4*p + n + 3 = 2*n. Let o(v) = -9*v - 1. What is the units digit of o(p)? 8 Let f(s) = -6*s**3 - 9*s**2 + 9*s + 1. Let i(j) = -3*j**3 - 4*j**2 + 4*j. Let p(h) = -2*f(h) + 5*i(h). Let c be p(2). What is the units digit of 6/4*c/(-9)? 5 Suppose 0 = 4*c - 7*c + 60. Let i = -8 + c. What is the units digit of i? 2 Suppose -3*n + 302 - 26 = -3*f, 4*n - f - 371 = 0. Suppose -d + n = 2*d. What is the units digit of d? 1 Let u(s) = -s**3 + 6*s**2 + 7*s + 8. Let k be u(7). Suppose -2*z + k = 2*z. Suppose 2*f - 22 = 2*x, -1 = z*f + 2*x - 3. What is the units digit of f? 6 Suppose -10 = -q - 4*q. Let d be q + 4/(12/(-45)). Let c = d + 26. What is the tens digit of c? 1 Let a(v) = -v**2 - 6*v + 9. Let b be a(-7). Suppose 13 = 3*j - b. Let o = j + -4. What is the units digit of o? 1 Let g(m) = -m**2 - 2*m + 295. What is the tens digit of g(0)? 9 Suppose -b + 0*b + 3*d + 3 = 0, -3*b = 5*d - 9. What is the units digit of b? 3 Let d(v) = -4*v**3 - v**3 + v + 3 + v**3 + 4*v**2 + 3*v**3. Let c be d(4). Let g(z) = z + 7. What is the units digit of g(c)? 4 Let u(t) = 41*t**2 - 6*t + 10. What is the units digit of u(3)? 1 Suppose 0 = -5*t + 2*p + 190, -5*t + 169 = -p - 21. Let o = t + -25. What is the tens digit of o? 1 Suppose 3*j + 6 = -3*q, -5*j - 1 = 3*q - 3*j. Suppose 0 = 2*d - 5 - q. What is the units digit of (-116)/(-36) + d/(-18)? 3 Let r be -3 - (-1 + -1 - (-25 + 5)). Suppose -4 = -3*k + 5*m, 4*m = -25 + 5. What is the tens digit of 2/k + (-216)/r? 1 Suppose -2*k - 2*k = -8. Let n(l) = l**3 + 6*l**2 - l - 4. Let t be n(-6). Suppose -t*q = -k*p - 2 + 4, -9 = 4*q - 5*p. What is the units digit of q? 4 Suppose 5*b = 189 + 391. Suppose 0 = -4*u + 3*v + b, -v = -2 - 2. What is the tens digit of u? 3 Let u = -185 + 288. What is the units digit of u? 3 Suppose -2 = -4*h + 6. Suppose 7 = 5*d + h*c, -2*d - 2*c = -0*d + 2. Suppose -4*z + 16 = i - 28, -d*z + 4*i = -33. What is the units digit of z? 1 Suppose 5*c + 7 = 22, 5*q - 12 = c. Suppose -2*n = q*n - 50. What is the tens digit of n? 1 Suppose -5*f = 3*w - 11, -f = -3*f - 3*w + 8. Let h = f + 1. What is the units digit of 21/7*h/6? 1 Suppose v = 4, 0*g + 2*g - 28 = -5*v. Let d = 9 - 4. Suppose -h = 4*b - 2*b - d, 2*b = g*h. What is the units digit of h? 1 Suppose 4*s + l + l = 32, 3*l - 38 = -5*s. Suppose -20 - s = -o. What is the tens digit of o? 3 Suppose -p + 8 + 10 = 0. What is the units digit of p? 8 Suppose -c = -10*c + 999. What is the units digit of c? 1 Suppose x = 3 + 1. Suppose z = -x*z. Suppose o - m + 0*m = 3, 3*o + 5*m - 1 = z. What is the units digit of o? 2 Suppose -5*u - 9 = -3*r, -4*u - 6 = -5*r + 3*r. Suppose 5*k + r = j + j, -5*j = 5*k - 60. What is the units digit of j? 9 Suppose 4*u - 5*s - 247 = 0, -u + 5*s = -3*u + 131. What is the tens digit of u? 6 Let h(a) = -9*a**3 - 1. Let o be ((-1)/2)/(3/6). What is the units digit of h(o)? 8 Let n be -8 - ((-1 - -3) + 0). Let t be -2*(0 - n/(-4)). Suppose -4*o + t = -3. What is the units digit of o? 2 Suppose 0 = -p - 0*p + 88. What is the units digit of p? 8 Suppose 0 = z - 5*h - 1, 0 = -5*z - 5*h + 55 - 20
{ "pile_set_name": "DM Mathematics" }
m = -v - q. Is 6 a factor of m? True Let d be (6 + 0)*(-2 - -1). Let o = 34 + d. Suppose -g + 0*g + o = 0. Does 14 divide g? True Suppose -79 = -7*c + 194. Is c a multiple of 8? False Let b(o) be the third derivative of o**4/24 + 4*o**3/3 + 2*o**2. Let t be b(-5). Suppose -3*p + j + 16 = 0, 2*p = p - t*j + 2. Is p a multiple of 2? False Let a(f) = f + 4. Suppose -4*t - 27 = -3*r, -r + 7 = -t - 0*r. Let m be a(t). Is (1/m)/(3/(-24)) a multiple of 3? False Suppose 0 = -6*d + d. Suppose -t - 2*t + 9 = d. Is t a multiple of 2? False Let k = 72 - 39. Is 7 a factor of k? False Let s(f) = -f**3 - 8*f**2 + 26*f + 7. Is 12 a factor of s(-11)? True Let i = 94 - 27. Does 30 divide i? False Suppose 0*g = -3*g + b + 35, 0 = -g + 4*b - 3. Let w = 42 - g. Does 15 divide w? False Suppose 2*u + 4*z = 130, 4*u = 2*z + 16 + 234. Does 21 divide u? True Suppose 3*b - b = 108. Is b a multiple of 27? True Let c(q) = 5*q - 21. Let k be c(5). Let t(d) = 7*d**2 - 3*d - 4. Let v be t(-3). Suppose -36 - v = -k*l. Is l a multiple of 14? False Let m = 4 + 1. Suppose m*y = 9*y - 112. Is 11 a factor of y? False Let a(t) = t - 2. Let o be a(4). Let q(p) = -2 + 10*p**2 + p - 3*p + 4*p. Is 14 a factor of q(o)? True Let v = 27 - -39. Does 23 divide v? False Does 7 divide (-1 - (-15)/9)/(6/441)? True Let k(g) = g**3 + 6*g**2 - 6*g + 7. Let z(s) = s**3 + 5*s**2 - 6*s - 7. Let h be z(-6). Let x be k(h). Is 27 + (x + 2)*1 a multiple of 16? False Let t(v) = -8*v. Let j be t(-1). Suppose r = 8 + j. Does 16 divide r? True Let t be (-23)/(-5) + (-6)/(-15). Suppose -2*f + j + 2 + 2 = 0, -3*f - 16 = 4*j. Suppose t*l = -f*l + 60. Is 11 a factor of l? False Let s(r) = -r**2 + 7*r - 5. Let b be s(5). Suppose 4*x - 3 = -z, -b*z + 33 = 2*x - 18. Is 5 a factor of z? False Suppose 2 = -i + 2*c, -5*i - 7*c + 5 = -2*c. Let w be -4*(i - 63/6). Suppose 4*p - 5*n - w = 15, 5*p = 3*n + 68. Does 5 divide p? False Suppose -b + 74 = -2*i + 5*i, -4*i = -5*b + 389. Is 11 a factor of b? True Let o be 0*2*3/6. Suppose 3*r - 10 - 23 = o. Is 11 a factor of r? True Let a = -19 - -77. Suppose 2*n + 6 = 2*z, 2*z + 3*n = 2*n + 6. Suppose -v - z*v = f - a, -2*v + 30 = f. Is 7 a factor of v? True Suppose -5*l + 4 = -s, -3*s - 12 = l - 4*l. Suppose f + 2*b - 8 = -0*f, l = -3*b - 6. Suppose 4*n + 5*g = 127, g = 5*g - f. Is 14 a factor of n? True Let a(y) = -y**2 + 15*y - 6. Does 6 divide a(11)? False Let o be (-1)/(-3) - (-14)/(-6). Let d be 1*(0/o)/(-3). Suppose 5*b - 27 = -2*l, 2*l - 5*l + 3*b + 9 = d. Is 3 a factor of l? True Let x = 62 + 22. Suppose -5*u + 5*t + 51 = -x, 0 = -4*t - 20. Suppose o - u = -y, o + 2*o - 82 = y. Is o a multiple of 11? False Is 13 a factor of (-118)/(3/((-12)/8))? False Let f(k) = 5*k**2 + 3*k - 5. Let w be f(-4). Suppose 267 = -3*h - w. Is (-1670)/h - (-2)/(-11) a multiple of 15? True Suppose 4*i + 18 = 2*i. Is 19/3 - (-3)/i a multiple of 2? True Suppose w = -4*w + 295. Is 19 a factor of w? False Does 2 divide (-28)/(-3) - (-2)/(-6)? False Suppose -2*q + 8 = 0, -2*f + q = 2*f + 4. Let o be -3 + -1 + f/1. Let c(b) = b**3 + 6*b**2 + 4*b - 5. Is c(o) a multiple of 11? True Let h = -13 + 30. Suppose 4*w = h + 11. Let c = 17 - w. Is c a multiple of 7? False Let k(r) = -37*r**3. Let y be k(-1). Is y*(-3 + (-8)/(-2)) a multiple of 12? False Suppose 4*o - 44 = 3*o. Is o a multiple of 5? False Suppose 0 = z + 4*z + 2*l - 76, -3*l = 2*z - 26. Suppose 0 = 2*t - t - z. Is 16 a factor of t? True Let y be 0/2 + (1 - 0). Suppose -2 = -2*x + 4. Let v = x + y. Is v a multiple of 2? True Is 35 a factor of 2/(10/(-15)) - -257? False Let b = 3 + -2. Suppose 0 = k - 6 - b. Is k a multiple of 7? True Let n(j) = 3*j**2 - 4*j. Let x be n(3). Is ((-48)/x)/2*-5 a multiple of 3? False Let y be 338/6 - (-1)/(-3). Suppose 0 = x + 3*x - y. Does 4 divide x? False Let u(k) = -23*k - 21. Is u(-7) a multiple of 19? False Let v = -6 - -3. Does 5 divide (-2 - 1*v)*6? False Let j(u) = 2*u - 1. Let r be j(6). Let a = r + 5. Does 16 divide a? True Let w = 65 + -20. Let j = w + -17. Is j a multiple of 18? False Suppose 4*c = -5*g + 139, -25 = -4*c - 4*g + 115. Does 10 divide c? False Suppose -4*u + d + 82 = -103, 3*u + 5*d = 110. Does 45 divide u? True Let h(p) = -p**2 - 5*p - 3. Let l be h(-3). Suppose 4*n - l*n = 22. Does 11 divide n? True Suppose 185 = 5*p + 3*g, 3*p + 2*g = 2*p + 37. Does 27 divide p? False Suppose 7 + 5 = 4*p. Suppose 0 = -5*i - 10, -4*x - p*i + 176 = -182. Suppose -x = -3*h - 40. Is h a multiple of 7? False Suppose 597 = -2*l + 7*l + 3*b, 4*l + 3*b = 477. Is 30 a factor of l? True Suppose -88 = -3*o + 5*y, -5*y = 3*o - 80 + 12. Is 13 a factor of o? True Let u = 11 + -9. Suppose u*g - 1 = -5. Is 0 + (g - -43 - 2) a multiple of 13? True Suppose j + 45 = 199. Is j a multiple of 11? True Let a(d) = 2*d. Let n be a(1). Let s(b) = -b**2 + 4*b - 1. Let c be s(n). Suppose 0*t - c*t + 15 = 0. Does 5 divide t? True Suppose -f + 7 - 1 = 0. Suppose 0 = 5*i - f*i + 19. Does 5 divide i? False Let d(y) = -7*y - 2. Let v(c) = c**3 - 8*c**2 + 2*c - 10. Let a be v(8). Let k(q) = -q + 3. Let g be k(a). Is 19 a factor of d(g)? True Let s(f) = 3*f - 3. Let q = -5 + 9. Suppose 4*k + 7 = 5*v - 28, 3*v + q*k = 21. Is s(v) a multiple of 18? True Suppose 0 = p + p + 3*s - 177, p - 86 = s. Does 19 divide p? False Let i(d) = 133*d**2. Let p be i(-1). Suppose -1 = 4*o - p. Is 14 a factor of o? False Let y = -5 + -14. Let w = y - -39. Is 10 a factor of w? True Is 41 a factor of (1/1)/((-2571)/(-642) - 4)? False Suppose 9*n + 1080 = 15*n. Is n a multiple of 30? True Let d(h) = 4*h**2 + h - 10. Does 12 divide d(4)? False Suppose -3*x = 2*d - 85, -2*x - 2*x = 3*d - 126. Does 19 divide d? True Suppose 2*m = 2*j + 14, 5*j + 33 - 10 = 2*m. Is m + -6 + (8 - 0) a multiple of 6? True Let r(a) = a**3 - 3*a**2 + 5*a + 2. Suppose 5*z - 13 - 11 = -2*n, 4*n + 4 = 3*z. Does 19 divide r(z)? True Let k(z) = 4*z + 10. Is 11 a factor of k(5)? False Let k(f) = -f**3 + 3*f**2 - 1. Let l be k(2). Let j(g) = 4*g**2 + 3*g - 3. Is j(l) a multiple of 14? True Let r(z) = z**2 + 6*z + 4. Let w be r(-6). Suppose 0 = -w*c + m + 31, 4*c - 2*c = m + 17. Does 4 divide c? False Let j = 101 + -9. Is (0 - -2)/(4/j) a multiple of 23? True Let j(m) be the first derivative of 5*m**5/4 - m**4/6 + m**3/6 - 3*m + 1. Let b(n) be the first derivative of j(n). Is b(1) a multiple of 12? True Let o(k) = k**3 - 7*k**2 - 7*k - 4. Let n be o(8). Let i be 2/2*(6 - 1). Suppose n*j - i*u - 92 = 0, -j - 2*u + 12 = -11. Is j a multiple of 8? False Suppose 179 = 10*t - 9*t. Is 16 a factor of t? False Suppose 12 = 2*g + 2. Let s = g - 2. Is 13 a factor of 42/9*s + -1? True Let t(r) = -r - 2. Let m be t(-7). Suppose -8 = -4*g + 12. Suppose -3*h - u = -94, m*h - g*u - 183 = -53. Is 15 a factor of h? True Let v be 0/(-1) - 1 - 1. Let s be (2/v)/(2/(-140)). Suppose 0 = -3*l + 5*u + 35, -7*l + 3*l - 5*u = -s. Does 15 divide l? True Suppose -14*w = -16*w + 108. Is 19 a factor of w? False Suppose -5*f + 71 = 5*d - 4*f, f = 4*d - 64. Does 15 divide d? True Let r(x) = 60*x + 1. Let u be r(1). Let h = 103 - u. Suppose 3*w - h = -0*w. Does 14 divide w? True Let i(g) = -12*g. Let o be (-4)/(-6)*(-15)/10. Let n be i(o). Suppose -n = -l - k, l + 2*k = -k + 16. Does 5 divide l? True Suppose 3 + 2 = -3*t - b, 13 = t + 4*b. Let n = t + 5. Is n a multiple of 2? True Let h(a) = -3*a**2 - 3*a - 8. Let n(s) = s**2 + s + 3. Let j(f) = -6*h(f) - 17*n(f). Is j(4) a multiple of 6? False Let p = -11 + 17. Does 16 divide (p/(-15))/(2/(-290))? False Let t = -29 - -38. Let f = 39 + -23. Let b = f - t. Is b even? False Does 16 divide (-120)/50*20/(-3)? True Let s(u) = -u**3 + u**2 - u + 1. Let q be s(4). Let f = -25 - q. Is 13 a factor of f? True Suppose 0 = 3*n - 131 - 13. Suppose c + 2*c - 5*d = 148, -c + 2*d + n = 0. Does 14 divide c? True Suppose -2*t = 0, -f + t = -3*t - 3. Suppose f*x = 2*s - 4*s + 134, 3*s = -5*x + 200. Suppose -3*a = -5*p - 4*a + s, -4*p + 2*a + 56 = 0. Is 8 a factor of p? False Let h(k) be the first derivative of -6*k + 3 + 7/3*k**3 + 3/2*k**2 + 1/4*k**4. Is h(-6) a multiple of 11? False Suppose q + 3*a + 14 = 4, 2*q = -5*a - 16. Suppose -2*d - q = -0*d. Is ((-2)/(-4))/(d/(-8)) even? True Suppose -4*d - 48 + 12 = 0. Let n = d - -15. Suppose -4*c = -q - c + n, 0 = 2*q - 4*c - 16. Does 6 d
{ "pile_set_name": "DM Mathematics" }
assuming k is positive. k**(-44078/17415) Simplify (((((g*(((g*g/(g**(-1)/g))/g)/g*g)/g*g)/g)/g*g*g/(g/g**(4/9)))**(1/2))**(-4/27))**15 assuming g is positive. g**(-310/81) Simplify ((k**(-2/9))**(38/3))**(2/107)*(k/((k/k**9)/k)*k**(4/7))**(-26) assuming k is positive. k**(-5559500/20223) Simplify ((q*q/(q*q**5)*q)/(q*q*q*(q**(9/4)/q)/q*q*q))**5*(((q*q**(-6)*q)/q)/q)/q*q**(3/5)*q**(-6)*q*q*q*((((q**(3/2)/q)/q)/q)/q)/q*q assuming q is positive. q**(-1063/20) Simplify ((r*(r*r**(-5)/r*r)/r*r*(r/((r*(r/(r*r*r/r**(2/27)*r))/r*r*r)/r)*r)/r)/(r**(-2/13))**(-2/3))**(14/3) assuming r is positive. r**(-868/1053) Simplify (k**(-45)*(k*k**10)/k)/(k/(k**(-39)*k)*k**(37/5)*k*k) assuming k is positive. k**(-417/5) Simplify ((((b/(b/(b*b*b**15)))/b)/b)/(b/(b/(b/((b*b**(-13))/b))))*(b/(b**19/b))/b*b**9/b)**(-3/4) assuming b is positive. b**(27/4) Simplify ((p**(-1/6))**(-3/19)*(p**(14/3))**5)**(-38) assuming p is positive. p**(-2663/3) Simplify (o**(-2/15)*o)/o**(-26)*o**(-13)*o*o**(-20) assuming o is positive. o**(-77/15) Simplify ((b**(-7)*b*b**(-2/3))/(b*(b*b**(-7))/b*b**(-3/4)/b))/((b**(-2/7)/b)**(-4/13))**9 assuming b is positive. b**(-2705/1092) Simplify (k**(-4/7)*k*k**0/k)/(k**1*k)**(2/15)*(((k*k/k**(-1/2))/k*k)**(-16))**34 assuming k is positive. k**(-142888/105) Simplify (l**(-2)*l**(-1/6))**24/((l*l**0)/(l**(-2/7)/l)*(l*l**(-5))/(l*l*l**(-2/3))) assuming l is positive. l**(-1028/21) Simplify (i**8/(i**(-3/5)*i))**(2/131)/((i/(i*((((i*i**0)/i)/i)/i*i)/i))**(25/4)/(i**(-3/4)*i**(4/7))) assuming i is positive. i**(-230397/18340) Simplify (o**(1/4)*o**(-4)*o**(-3)/o*(o*o**(1/5)*o)/o)/(o*o**2/o*(o/o**3)/o*o)**(-1/19) assuming o is positive. o**(-131/20) Simplify w**2/((w*w*w/w**(-39/2)*w)/w*w*w*w)*w/w**(6/17)*(w/(w/(w**(-1/3)*w)))/w assuming w is positive. w**(-2365/102) Simplify d**(3/5)*d/((d/(d**(-5)*d))/d)*(d/(d/(d/((d*d**(-2/3))/d)*d)))**(-8/7)*(d*d**5*d*d**(-3))**(-14) assuming d is positive. d**(-6452/105) Simplify (((q/(q**(-18)/q))/q)**(-23)/(q**(-40)/q**45))**(2/183) assuming q is positive. q**(-704/183) Simplify h**(4/7)*h**27*h**(-10/9)*h*h/(h*h**(-29)) assuming h is positive. h**(3557/63) Simplify ((h**(-5))**(6/25)*(h**(3/11)/h)/h**(1/7))**(3/10) assuming h is positive. h**(-2391/3850) Simplify (o**(-2/9)/o)/o*o**(-2/5)*o**(-9)*(o*o**0)/o*((o**(-2))**(-1/3))**(-2/29) assuming o is positive. o**(-15227/1305) Simplify (((c/c**(1/2))/c*c*c**(-3/8))/(c**(-3)/(c*(c*c*c/(c/(c**(-1)*c))*c)/c)))/((c**(2/13)/c**1)/((c/(c*c**(1/4)))/c*c*c**(-6)*c)) assuming c is positive. c**(179/104) Simplify ((((h**10*h)/h)/(h*h**(-10/9)/h)*((h/(((h**(2/39)/h)/h)/h))/h)/h**(2/7))**(-20))**(3/7) assuming h is positive. h**(-225620/1911) Simplify ((q/((((q*q**(2/19)/q)/q)/q)/q))/(q**(-1/6)/q)*(q/q**(-2))**(-40))/((q/q**(2/5))**(1/2)/(q*q*q/(q/q**(-2/3))*q)**(7/9)) assuming q is positive. q**(-290932/2565) Simplify ((i/i**(10/7))/(i*i*i**(-8)))**(-5/12)/(i/((i/(i**1/i))/i)*i/i**(-1/8)*((i*i/(i*i*(i*i**(-2)*i)/i))/i*i*i)**(-21)) assuming i is positive. i**(2103/56) Simplify ((h**(-7)/h)/h**(-5))**(-4/19)*(h**(-2/7)*h*h**(2/3))/(h*h**(-6)*h*h*h/(h**4*h*h)) assuming h is positive. h**(3995/399) Simplify ((d/d**(4/3)*d**0*((d/(d/(d*d**(-2/11))))/d)/d*d**(-2))**(-10/9))**(-2/55) assuming d is positive. d**(-464/3267) Simplify (p**(-12)*p/(p/((p*p**(2/19))/p))*(p/(p*p**8/p)*p)/(p*p**(1/55)))**(-42) assuming p is positive. p**(830088/1045) Simplify (n**(-3/2)*(n*(n/(n/n**(-3/7)))/n)/n*(n/n**0*n)**(-18))/((n**(-5/4)*n**0*n)/(n**(1/3)/n**(-4))) assuming n is positive. n**(-2885/84) Simplify ((n*n/(((n*n**(-2/3))/n)/n)*n*n**(7/6))/((n**(2/33)/n)/(n*n*n*n*((n**0*n)/n*n)/n)))**28 assuming n is positive. n**(3318/11) Simplify ((o**(-2/3))**21*(o**(2/7))**(16/5))/((o**1)**(-8/15)*(o/o**(-1/4))**(-42)) assuming o is positive. o**(8389/210) Simplify (g**(-10)/(g*g*g**(-16)*g)*g/(g*g/g**(-1/2))*g**(-2/25))**(-2/17) assuming g is positive. g**(-71/425) Simplify (((r/(r**(-2/13)/r))/r*r**(-1))/((r*r/(r**(-2/3)/r*r))/(r/((r/((r*r/(r*r**(3/5)))/r))/r))))/((((r**(2/7)/r*r)/r)/r)**(-49))**33 assuming r is positive. r**(-540952/195) Simplify ((((n*n**(-7))/n)/n)/n**(5/2)*(n**(2/19)*n)/n**(-8))/(((n*n/((n**(-7)/n)/n))/n**(2/15))/(n/n**(-1/2))**(-14)) assuming n is positive. n**(-18959/570) Simplify ((o**(3/5)*o/(o**9/o)*o**8*o**(-2))**(-38))**(-41) assuming o is positive. o**(-3116/5) Simplify ((v**(2/3))**26)**(-5/9)*(v/v**(2/11)*v**(9/5))**(9/4) assuming v is positive. v**(-5552/1485) Simplify (((y**(-1/2))**(-3/14)/(y*y**(-1))**47)**24)**22 assuming y is positive. y**(396/7) Simplify ((s**(-1/4)/s)**2/(s**(2/3)*s/s**(-4/7)))/((s**(-4/11)*s)/(s**(6/7)/s)*s*s**(1/5)/s*s**5) assuming s is positive. s**(-24757/2310) Simplify (w**2/(w*w*w/w**(-3))*w**(1/9)/(w*w**(-2)*w))/(((w**(-2)*w)/w**5)/(w**(-6)/(w/(w*w*w**(-2/13))))) assuming w is positive. w**(-356/117) Simplify ((a*a**(-2/3)*a**(-4))/(a**(-1/7)*a*(a/a**(-2)*a)/a))/(a**(3/4)/(a*a**(-2/3))*(a*a/(a*a**(-2/21)))/a**2) assuming a is positive. a**(-197/28) Simplify ((m**(3/7)/m)**20)**(-2/69)*(m**(4/3)*m/m**(-5/7))/(m/(m/(((m**(-2)/m)/m)/m)))**(-45) assuming m is positive. m**(-35681/161) Simplify ((z/z**(-27))**(1/4)/(((z*z/z**(-6/7)*z)/z)/(z/(z/z**(1/28)))))**(-35) assuming z is positive. z**(-585/4) Simplify u**(2/5)*u*u*u*u/(((u**(1/5)*u)/u*u)/u)*u*u*u**(1/2)/u**(-9)*(u/(u**(-7/3)/u)*u**(-5))**(-1/19) assuming u is positive. u**(8969/570) Simplify (x**(-4/11)*(x**(3/10)*x)/x)**43/((x/(x*x**(-4)*x))**(-14))**38 assuming x is positive. x**(175259/110) Simplify (c/((c*c*c/((c/c**0)/c)*c)/c))**49*c/(c**(1/4)/c)*(c/(c*c/(c*c**3))*c)/c*((c/c**(-1))/((c*c**(3/4)*c)/c))**(-4) assuming c is positive. c**(-377/4) Simplify (b*(b**1/b*b)/b*b/b**(1/3))**(-1/11)*(b**(2/7))**(6/19)/(b**(-2)/(b/(((b*b*b**(-4)*b*b*b)/b)/b))) assuming b is positive. b**(17287/4389) Simplify (((((d**0/d)/d)/d)/d*d)**(19/4)*d**(-1/5)*d*d**0)/(d*d/(d/(d*d**(-1/4)))*d**6)**12 assuming d is positive. d**(-2129/20) Simplify (u**(-1/8)/((u/(u*u*u/u**(4/3)))/u))/(u/u**(3/8)*u*u**7*u)*(u**(2/7)*u)**(-10/11)*u*u**(2/5)*u/(u**(3/8)/u) assuming u is positive. u**(-57539/9240) Simplify ((k*k/(k/(k**(-3)*k)*k))**(-38/3))**(27/5)*(k**(-5)*k*k**(1/3))/(k**(1/3))**(-4) assuming k is positive. k**(2017/15) Simplify (k**4*k*k**(-2/5)*(k/(k*k**(-1/7)*k)*k)/(k*k**6))/(k**(-5/6)/k**4)**(-2/7) assuming k is positive. k**(-382/105) Simplify ((((s*s**(-3)*s*s*s)/(((s**(-9)/s)/s*s*s*s)/s*s))/(s**(3/4)*s*s**4/s))**(1/13))**(-3) assuming s is positive. s**(-51/52) Simplify (f**1/(f/f**0))**4/((f**(-8)/f*f)/f**1*f/(((f**6/f)/f)/f*f)*f**8/f) assuming f is positive. f**5 Simplify (((g/(g*g**5*g*g)*g**(-2/21))/(g*(g**(-2/3)*g)/g)**(-29))**(7/4))**(2/29) assuming g is positive. g**(9/29) Simplify ((((a*a*a**(-2/29)*a*a)/a)/a**19)/(a**(-25/4)/((a*a*a**(7/2)*a)/a)))**40 assuming a is positive. a**(-5010/29) Simplify (((y**14/y)/y*y*y)**(-21)*(y**2)**4)**(-6) assuming y is positive. y**1716 Simplify ((b**(-2)/b)**40/(((b/b**(-12))/b)/((b/(b*b**(2/3)))/b)))**(3/8) assuming b is positive. b**(-401/8) Simplify n*n/(n/((n**2*n)/n))*(n/n**(-1/5)*n)/n*((((n*n**0)/n)/n)/n*n)/n**6*(n*n**1)**44/(n/(n/(n*n**(2/5)*n)))**(-4/37) assuming n is positive. n**(3162/37) Simplify ((((w/w**1)**(-11))**(-7/4))**(-35))**(-2) assuming w is positive. 1 Simplify ((n**(1/3))**(-18)/(n**(-2))**33)/((n**(3/8)*n)/(n/(((n/n**(-2))/n*n)/n*n)))**(-27/5) assuming n is positive. n**(3129/40) Simplify ((t**4/t)/t*t**6/t)**(-1/15)/((t*t/(t**6*t*t*t))/(t**(-6)/t))**23 assuming t is positive. t**(-7/15) Simplify ((g/(g*g*g/(g/(g/(g*g/(g*g**5)))*g*g)))/g*g*g**(1/8)*g*g*g*(((((g/g**1)/g)/g)/g)/g)**(-3))/((g**(-2/9))**26)**(-1/5) assuming g is positive. g**(3589/360) Simplify ((b/b**(-3))**(-24))**38/((b**3/(b**(-4/7)*b))/(((b/(b/(b**4*b*b)))/b)/b**8)) assuming b is positive. b**(-25575/7) Simplify ((y**(-1))**(-34/7)/(y**(-1/4)*y*y*y)**8)/(((y/(y**(3/10)/y))/y)/(y**9/y*y))**38 assuming y is positive. y**(10439/35) Simplify (t/t**(-1/6))/(t**(2/21)/t)*(t*t**(2/7))**47*(t**(-2/3)/t)**(-5/17)*(t/t**2)/(t*t*t**(-2)) assuming t is positive. t**(6323/102) Simplify (((u*u**(3/14)*u**(-2/87))**(-2/29))**18)**11 assuming u is positive. u**(-95766/5887) Simplify ((f**(3/8)/f*f*f/f**1)/(f*f**1*f/(f*(f/(f/((f/f**(-4))/f))*f)/f)*f*f))/(f*f**(-1/11)*f/f**
{ "pile_set_name": "DM Mathematics" }
12 Suppose 2*o - 21 = -o. Calculate the remainder when 34 is divided by o. 6 Let s(d) = -d**3 + d**2 + 1. Let g(i) = -7*i**3 + 11*i**2 + 5*i + 10. Let a(n) = -g(n) + 6*s(n). Calculate the remainder when 3 is divided by a(6). 1 Let m(w) = -w. Let f be m(-5). Suppose -f*r - 18 = -108. Let c = 19 + 15. Calculate the remainder when c is divided by r. 16 Let k(x) = -x**3 + 5*x**2 + 6*x + 3. Let t be -1 + 0 - (-3 + -2). Suppose 0 = -t*i + 47 + 21. Calculate the remainder when k(5) is divided by i. 16 Suppose 3*o + 2*r - 41 = 0, -5*o - 7*r + 60 = -2*r. Calculate the remainder when 48 is divided by o. 14 Let u be 1/3 - 26/(-3). Suppose 2*f + 3 - u = 0. Suppose 2*w - 79 = f. Calculate the remainder when w is divided by 11. 8 Suppose 2*f = k - 21, -3*k - 2*f = -3*f - 58. Let p = -55 - -94. Let d = p - k. Calculate the remainder when d is divided by 7. 6 Let n(p) = p**2 - p + 4. Let u be 2 + 6*3/6. What is the remainder when n(u) is divided by 13? 11 Let r be (8/2 - -1)/1. Let m(h) = 103*h. Let y be m(1). What is the remainder when 41 is divided by y/r + 6/15? 20 Suppose -4*n - n = 0. Let a(k) = 13*k**2. Let q be a(1). Suppose -2*t + t + q = n. Calculate the remainder when 24 is divided by t. 11 Let h(s) = s**3 - 7*s**2 + 4*s - 1. Let r = -24 - -16. Let g(q) = -q + 7. Calculate the remainder when h(7) is divided by g(r). 12 Suppose 13 + 0 = d. Calculate the remainder when 63 is divided by d. 11 Suppose n = 3*k - 8, 0 = 4*k - 2*n - 2*n. Suppose 0 = -5*r - 0*r + 30. What is the remainder when r is divided by k? 2 Suppose -35 + 8 = -3*l. What is the remainder when l is divided by (3 + 4 - 2)*1? 4 Let t(x) = x**3 - 11*x**2 + 9*x + 13. Let y be t(10). Suppose 26 = y*j - 1. Calculate the remainder when 25 is divided by j. 7 Let w(l) = -l + 8. Let b be 1*(-12)/(-9)*3. Let c be w(b). Suppose 5*d - c*p - 42 = -6, 4*d + 3*p - 35 = 0. Calculate the remainder when 23 is divided by d. 7 Let z = -17 - -26. Suppose q + 5 = 0, -2*l + q + 111 = -4*q. Calculate the remainder when l is divided by z. 7 Let j = -18 + 21. What is the remainder when 23 is divided by j - 3 - (-5 + -1)? 5 Let b(w) = -21*w - 1. Calculate the remainder when b(-2) is divided by 11. 8 Let l(x) = -42*x - 2. Let a(d) = d**2 - 12*d + 8. What is the remainder when l(-2) is divided by a(13)? 19 Let g be (5/3)/((-1)/(-3)). Suppose 2*l - 22 = -d - 4, -3*l = g*d - 76. What is the remainder when 25 is divided by d? 11 Let q(m) = 4*m**2 + 3. What is the remainder when q(2) is divided by 5? 4 Let w(p) = p**2 + 14*p + 49. Calculate the remainder when w(-14) is divided by 13. 10 Let x = 33 - 28. What is the remainder when 7 is divided by x? 2 Calculate the remainder when 31 is divided by ((-3)/6)/((-3)/96). 15 Suppose 3*b - 16 - 8 = -3*u, 4*b = -5*u + 38. Suppose d = -0*d - u. What is the remainder when 16 is divided by d/(-21) - 61/(-7)? 7 Suppose 0 = -4*i + 16 + 36. Calculate the remainder when 23 is divided by i. 10 Calculate the remainder when (-1)/(-3)*(7 - -167) is divided by 30. 28 Let d = -4 - -11. Let p(y) = 10*y - 2. What is the remainder when p(d) is divided by 18? 14 Suppose 0 = 2*a - 2*i - 32, 3*a - 3*i - 46 = i. Calculate the remainder when 34 is divided by a. 16 Calculate the remainder when 15 is divided by 0 + (6/5)/((-3)/(-10)). 3 Suppose -4*w - 14 = -2. Let d(c) = c**3 + 4*c**2 - c - 4. What is the remainder when 14 is divided by d(w)? 6 Suppose -75 = -v - 12. Suppose -a + 2*p - 36 = -3*a, p - v = -4*a. Calculate the remainder when 59 is divided by a. 14 Let n(j) = 2*j**2 + 3*j - 7. Let c = -15 + 9. Let z be n(c). Suppose -4*k = -k + 9, 5*u - 4*k = z. What is the remainder when u is divided by 4? 3 Let j(q) = q**3 - 2*q**2 - 14*q + 9. Calculate the remainder when 54 is divided by j(5). 12 Suppose -3*k - 5*i - 4 = -56, k - 5*i = 4. Calculate the remainder when 26 is divided by k. 12 Let p(x) = -x + 3. Let w be p(-6). Suppose 5*c - w*c + 24 = 0. Calculate the remainder when 34 is divided by ((-4)/c)/((-1)/18). 10 Calculate the remainder when 37 is divided by (4/8)/((-1)/(-20)). 7 Let f(d) = -15*d**3 - 2*d**2 + 1. Suppose 2*t + 0 = -2. What is the remainder when f(t) is divided by (5/4)/(3/12)? 4 Suppose 3*m - 101 - 109 = 0. Calculate the remainder when m is divided by 18. 16 Suppose 2*y = -4*f - 2*y + 292, 145 = 2*f + 3*y. What is the remainder when f is divided by 15? 14 Let h(c) = -22*c - 2. Let d be h(2). Let j = 71 + d. What is the remainder when j is divided by 14? 11 Suppose 0 = 3*k + 4*o - 35, 5*o = -5*k + 3*k + 28. Let r = k - -34. What is the remainder when r is divided by 9? 7 Suppose -5*g + 84 = 24. What is the remainder when 22 is divided by g? 10 Suppose -s - 2*s = -3. Let i = 1 + s. Calculate the remainder when 62/22 + 4/22 is divided by i. 1 Suppose 2*j = 0, 0 = 5*d + 3*j - 166 + 36. Suppose 14 = 3*v - 13. Calculate the remainder when d is divided by v. 8 Suppose -5*h + 8*h + 24 = 0. What is the remainder when (-104)/(-10)*(-20)/h is divided by (-50)/(-6) - (-2)/3? 8 Let v = -41 + 58. Calculate the remainder when 31 is divided by v. 14 Suppose 2*v = -3*d + 5*v + 30, 4*d - v - 25 = 0. Suppose -4*q + c - 3*c = 224, 4*c - 293 = d*q. What is the remainder when 6 is divided by q/(-12) - 6/8? 2 Suppose 2*w + 4*w - 36 = 0. What is the remainder when 22 is divided by w? 4 Suppose 4*l + 2*i - 124 = -2*i, 43 = l - 2*i. Calculate the remainder when l is divided by 12. 11 What is the remainder when 10 is divided by 5/1 + (1 - 2)? 2 Suppose 5*m - 3*q - 175 = -66, 2*m = 4*q + 38. Suppose -m = 3*p - 77. Calculate the remainder when p is divided by 7. 4 Suppose 0 = 9*w - 11*w + 4. Suppose -5*i + 2 = -w*f + 27, 3*f + 4*i = 72. Let q(b) = 7*b - 3. What is the remainder when q(6) is divided by f? 19 Let g = 124 + -84. Suppose 2*h = -3*h + 100. Let o = h + -6. What is the remainder when g is divided by o? 12 Let p(o) = o + 2. Let s(f) = -12*f + 2. What is the remainder when s(-2) is divided by p(7)? 8 Suppose 5*t - 3*n = -0*n + 68, -2*t + 22 = 4*n. What is the remainder when -4 + (3 - 2) + 26 is divided by t? 10 Let q = -8 - -14. Suppose 0 = 4*r + 3*z + 14, -4 = -r + 6*r - 3*z. Calculate the remainder when q is divided by r/4*-14 - 3. 2 Suppose 2*b = 2*y - 92, -y - b = y - 86. Suppose -u - 75 = -4*q, -y - 30 = -4*q + 2*u. Suppose 97 = 2*z - 13. What is the remainder when z is divided by q? 17 Let r be -10 - -6 - -7*1. Suppose 0 = 4*h, r*s - 3*h + 5*h = 255. Calculate the remainder when s is divided by 22. 19 Suppose -3*d + 9 = -12. Suppose -5*y - 4*c = -75, 0 = -3*y - 3*c + 5*c + 67. What is the remainder when y is divided by d? 5 Let v(k) be the second derivative of k**3/6 + 2*k**2 + 7*k. Calculate the remainder when v(7) is divided by 6. 5 Suppose -5*b - 3*z = -20, b - 7 = -2*z - 3. Let y be (-3 + 4)*15*3. Suppose 3*m + y = 6*m. Calculate the remainder when m is divided by b. 3 Suppose -n - 9 = -2*y, -4*n = -3*y + 2*y - 6. Suppose 0 = 2*b - 0*b - y. Let w = 8 + b. What is the remainder when w is divided by 6? 5 Suppose 0 = -3*l - l + 116. Suppose 4*g - 55 = -2*t + t, -t = 3*g - 40. What is the remainder when l is divided by g? 14 Let s(n) = -n + 40. Let d be s(0). Suppose 7*q - 11*q + d = 0. What is the remainder when q is divided by 4? 2 Let j(t) = -t + 11. Let a be j(7). Suppose 5*g = a*o + 191, -4*g - g + 5*o = -195. What is the remainder when g is divided by 12? 11 Let b(c) = -3*c**3 - 2*c**2 + 4*c. What is the remainder when b(-3) is divided by 18? 15 Let d = -18 + 28. Calculate the remainder when 19 is divided by d. 9 Let x be 37 - (0 + -3 - 0). Suppose 4*n - x = 32. Calculate the remainder when 52 is divided by n. 16 Suppose 2*g - 45 = -2*m - 7, -5*g + m = -71. Calculate the remainder when 44 is divided by g. 14 Let t(b) = -11*b - 6. Calculate the remainder when t(-5) is divided by 10. 9 Let z = 22 + 27. Calculate the remainder when z is divided by -1*2*-6 - -1. 10 Let v(d) = d**3 + 10*d**2 + 11*d + 10. Let o be v(-7). Suppose -5*h + 3*h = -o. Calculate the remainder when h is divided by (1 - 1) + -1 + 15. 12 Let x(j) = -4 + 7 + j + j**2 - j**3 + 2*j. What is the remainder when x(-2) is divided by 5? 4 Suppose -4*b = -2*b - 318. Suppose 4*j - 4*n - 168 = 0, -4*j - 5*n + b = -27. Calculate the remainder when j is divided by 15. 14 Suppose 0 = -4*o - 65 + 557. Suppose 59 + 28 = 3*s - 2*v,
{ "pile_set_name": "DM Mathematics" }
*o + 14. Let p be i(-4). Suppose p*t = 36*t - 10380. What is the units digit of t? 8 Let f be (-1)/(4/9*(-6)/24). Suppose 0 = -27*y + f*y + 6858. What is the hundreds digit of y? 3 Let f(j) be the third derivative of j**5/6 - j**4/8 - 2*j**3/3 - 3*j**2. Suppose 3*p = 8*p - 15. What is the units digit of f(p)? 7 What is the hundreds digit of 91/(-26)*(-397068)/98? 1 Suppose -315*s + 158*s + 112680 = -147*s. What is the hundreds digit of s? 2 Suppose -186*r + 185*r + 9838 = 0. What is the tens digit of r? 3 Let c = -58 + 222. Suppose -p + c = j, 0 = 3*p - 3*j + 5 - 527. What is the tens digit of p? 6 Let w(r) = -9*r + 26. Let y be w(-4). Suppose -z = -4, -5*p + 44 + y = -z. What is the units digit of 8/12 - p/6*-59? 7 Suppose -96*d = -92*d + 792. Let p = 467 + d. What is the units digit of p? 9 Let u(g) = 3208*g**2 + 32*g - 120. What is the ten thousands digit of u(4)? 5 Suppose 5*q - 2*v - 60 = -178, -4*q + v = 92. Let o = q - 21. Let d = -13 - o. What is the units digit of d? 0 Let n = 9635 + 19960. What is the hundreds digit of n? 5 Suppose 0 = -2*h + 55 + 213. Suppose h = 9*p - 12988. What is the tens digit of p? 5 What is the tens digit of (-32)/(-2) - (-93 + -32703)? 1 Suppose 320 = 124*l - 120*l. Let g be l/15 - 1/3. Suppose -o + 3*o - 131 = 3*v, 265 = 4*o - g*v. What is the tens digit of o? 7 Let t = -72 + 76. What is the tens digit of 1/7*-2*(-868)/t? 6 Let k(s) = 85*s**2 - s. Let g be k(-1). Let q be (18/15)/((-6)/(-20)). What is the units digit of (g - (-8 + q)) + -4? 6 Suppose -67*n + 133*n - 245200 = 58*n. What is the ten thousands digit of n? 3 Suppose 3*t + 13*n - 9*n - 9 = 0, 4*n = 0. Let g(q) = 11*q**3 - q**2 + 5*q + 7. What is the units digit of g(t)? 0 Let b(t) = 275*t + 10. Suppose 0 = 54*v - 61*v + 7. What is the tens digit of b(v)? 8 Let z = 96 + -97. Let f be (((-39)/(-2))/(-13))/(z/202). Let k = f - 158. What is the hundreds digit of k? 1 Suppose -4 - 6 = -5*h. Let z be (-150)/(-20)*(20 + h). Suppose 5*n - z = 2*n + 4*a, 3*a + 9 = 0. What is the units digit of n? 1 Suppose 13*u = -0 - 52. Let i be u/((-24)/(-171))*(-4)/6. What is the units digit of 4 - (-13)/(-3 + i/6)? 2 Let m = 21 - 21. Suppose 3*k - 2*i - 19 = -m*k, -3*k - i + 13 = 0. Suppose 155 = -5*h + r + 520, -r = -k. What is the tens digit of h? 7 Suppose 5*t - 1249 - 788 = -3*s, -5*t = -s - 2021. What is the tens digit of (-16)/((-144)/t)*23? 3 Let j(g) = g**3 + 26*g**2 + 7*g + 88. Let a be j(-26). Suppose -129 - 65 = -t. Let p = t + a. What is the units digit of p? 0 Let k(u) = 4460*u**2 + 521*u - 14. What is the tens digit of k(4)? 3 Let f(a) = -a - 22. Let v = -27 + 16. Let q be f(v). Let c(y) = -5*y + 28. What is the units digit of c(q)? 3 Suppose -j - 17 = -3*c, c - 8 = j + 1. Suppose 0 = -2*f - 3*r + 420, 0 = 5*f + r - c*r - 1050. What is the hundreds digit of f? 2 Let g be 9/((-3)/246*-3). Let k(v) = -v**2 + 45*v - 190. Let p be k(36). Suppose 5*w - g = f, -4*w + 4*f + p = -w. What is the tens digit of w? 5 Let s(h) = h + 40*h**2 - 4 + 5 - h**3 - 43*h**2. What is the tens digit of s(-5)? 4 Let x(o) = -2*o**2 + 2. Suppose 7*v + 0 + 14 = 0. Let p be x(v). What is the tens digit of 247 + (-25)/(p - -1)? 5 Let b = -41 + 101. Let o = 55 - b. Let r(k) = 4*k**2 + 6*k + 2. What is the units digit of r(o)? 2 Suppose 9*f = 14*f - 420. Let j be f/18 + (-4)/6. What is the units digit of (-3)/(j/((-1608)/9))? 4 Suppose 24*x = -11*x + 9555. Suppose 269*p - x*p + 136 = 0. What is the units digit of p? 4 Let l = -67 - 62. Suppose 0*r - 4*r = -5*p - 21, 3*p - 3*r = -12. What is the tens digit of ((-30)/(-9))/p*l? 8 Suppose 46 = h - 2*w, 2*h - w = 2*w + 89. Suppose -9*b = -8*b - h. Let t = 33 + b. What is the tens digit of t? 7 What is the tens digit of (-40 + -7865)*(96/(-18) + 3)? 4 Suppose -4*l - 12*o + 3960 = -10*o, -4*l + o = -3960. Let r = -301 + l. What is the hundreds digit of r? 6 Let h be 5/((-10)/(-4)) - (689 - 9). Let q = 1193 + h. Suppose -7*z = -2*z - q. What is the hundreds digit of z? 1 Let v(f) = f - 10. Let i be v(13). What is the tens digit of (21 - -5 - (1 - i)) + 2? 3 Suppose -3*m - 3*y + 2 = -y, 0 = 3*m - 3*y - 27. Let i be m + (1 - 1/1). What is the tens digit of 2697/39 + i/(-26)? 6 What is the ten thousands digit of (-42)/(-10)*(-278500)/(-30)? 3 Let b(s) be the second derivative of -41*s**3 + 7*s**2 - 153*s. What is the tens digit of b(-5)? 4 Suppose -2*b - 5*p = 2*b + 733, 3*b - 3*p = -570. Let f = 742 + b. Suppose -20*x = -25*x + f. What is the tens digit of x? 1 What is the hundreds digit of 68/20*-5*2*1807/(-2)? 7 Suppose -2*v + 20 = 3*v - 5*t, 2*v + 5*t = 1. What is the hundreds digit of v/((-2)/579*(-15)/10)? 5 Let l(o) = o**3 + 26*o**2 + 20*o - 7. Let r be l(-25). Let s = 191 - r. Suppose 0*n + s = n. What is the tens digit of n? 7 Suppose -w + 8100 = 5*k, -31*w + 6480 = 4*k - 32*w. What is the tens digit of k? 2 Suppose 2*n - 4 = 0, 2*w = -n + 3709 + 23755. What is the hundreds digit of w? 7 Let b be ((-5)/15*3)/(2/(-8)). Suppose 89 = -b*n + 257. What is the units digit of n? 2 Suppose 5*g - 77285 = -5*j, 2*g - 35*j - 30938 = -33*j. What is the thousands digit of g? 5 Let t(n) = -n**2 + n - 1. Let s be ((-1)/(-2))/((-6)/12). Let a(r) = -r**2 - 8*r - 12. Let v(y) = s*a(y) + 2*t(y). What is the units digit of v(5)? 5 Let c(y) = -28*y - 137. Let h be c(-5). Suppose h*w - 5*w + 4*o = -1854, 0 = -4*o. What is the hundreds digit of w? 9 Suppose -243*n - 14*n = -2570. Suppose -5*g + 546 = -3*c, -6*c = 3*g - c - 314. Suppose 3*x = 3*u - g, -2*x + n = u - 29. What is the units digit of u? 7 What is the units digit of (-4 - -19720) + 4 + 6 + 4? 0 Suppose -91*s + 1211774 = -115279. What is the tens digit of s? 8 Let j(y) = -19 + 109*y + 94*y + 0 - 187*y + 4*y**2. What is the tens digit of j(7)? 8 Let n = -7366 + 15379. What is the units digit of n? 3 Suppose -194*p - 198*p + 147*p = -3072545. What is the thousands digit of p? 2 Let c(g) be the second derivative of g**5/10 - 2*g**4/3 - g**3/6 - 7*g**2/2 - g + 5. What is the hundreds digit of c(7)? 2 Suppose -4*q + 3*w + 11075 = 0, -442*q + 443*q + 3*w = 2765. What is the thousands digit of q? 2 Suppose 163 + 167 = 6*p. What is the tens digit of (-271)/(-6) - p/330? 4 Suppose -8*y - 1 = -7*y. Let x be y*(204/(-9))/(-2)*-12. Suppose -3*m - o = -0*m - 328, 5*o + x = m. What is the tens digit of m? 1 Suppose 17*r + 4319 = 24*r. Let c = r - 375. What is the tens digit of c? 4 Let f = 3708 + 14714. What is the tens digit of f? 2 Let b be (7*1)/((-71)/(-29039)). Let w = -1857 + b. What is the units digit of w? 6 Suppose 2*d - 64 = -62. Suppose 2*u - 4*p - 24 = -6*p, 3*p - 6 = -u. What is the units digit of (u/(-6))/d*(-60 - 2)? 5 Suppose -7548 = -3*d + 4875. Suppose -12*g - 193 = -d. What is the tens digit of g? 2 Let o be 0*(5/(-25))/(3/(-5)). Suppose o = -20*t + 2898 + 12442. What is the units digit of t? 7 Let s = 124 + -112. Let m be (-9)/2*(-8)/s. What is the hundreds digit of 243 + m - (-12)/(-4)? 2 Suppose 3*r - 1 = -f, -5*f + 18 = -0*f + 2*r. Suppose -4 = -4*l, 33 = -f*p - 3*l + 600. Let i = 5 + p. What is the hundreds digit of i? 1 Let c = -7622 + 35695. What is the tens digit of c? 7 Let y(p) = -41*p - 78. Let b(x) = 13*x + 26. Let u(z) = -z. Let w(c) = b(c) - u(c). Let f(t) = 8*w(t) + 3*y(t). What is the tens digit of f(-9)? 7 Let d = 44 + -2. Let z = d - 35. Let m(q) = 3*q**2 - 5*q + 14. What is the units digit of m(z)? 6 Suppose -14*k + 5 = 215. What is the units digit of ((-525)/(-14))/k + (-3899)/(-2)? 7 Suppose -430*j + 429*j + 123 = 0. Suppose -117*s + j*s - 198 = 0. What is the tens digit of s? 3 Let a = 9046 + -5001. What is the tens digit of a? 4 Suppose -14063 + 133623 = 14*i. What is the tens digit of i? 4 What is the tens digit of 5105 + -13 + 80/8? 0 Let t(a) = -a**3 + 16*a**2 + a + 38. Suppose 13*z - 235 = -40. What is the hundreds digit of t(z)? 2 Let o = -28677 - -43073. What is the thousands digit of o? 4 Let k = -11313 - -25444. What is the hundreds digit of k? 1 Let c = 28742 + 18010. What is the tens digit of c? 5 Let y(x) = 4*x**2 + x + 1. Let f(u) = -11*u**2 + 5*u - 8. Let r(a) = f(a) + 5*y(a). What is the hundreds digit of r(-13)? 3 Let n(t) = 6*t**2 + 3*t - 1. Let w(c) = c**2 - 1. Let s(p) = n(p) - 3*w(p). Let j be s(-1). What is the tens digit of (0 - j) + 80 + 0? 7 L
{ "pile_set_name": "DM Mathematics" }
76713764 a multiple of 10? False Is 280 a factor of 51711405? False Is 98 a factor of 40939990? True Is 1444 a factor of 648914829? False Does 1012 divide 79338776? True Is 54 a factor of 4384493226? True Is 21 a factor of 863075010? True Is 145376572 a multiple of 22? True Does 33 divide 38156566? False Does 878 divide 43973752? True Is 55 a factor of 123709355? True Is 70771610 a multiple of 830? True Is 1225 a factor of 61288039? False Is 46824471 a multiple of 59? False Does 87 divide 3592016880? False Is 204 a factor of 15772464? True Does 167 divide 4846273? False Does 5051 divide 1665783538? False Is 143320316 a multiple of 4402? True Is 1022 a factor of 925974806? False Is 138 a factor of 281514727? False Does 17 divide 59029882? True Is 11572006 a multiple of 66? False Does 3325 divide 784231175? True Does 699 divide 12792399? True Does 241 divide 2591071? False Is 318244471 a multiple of 7244? False Is 35 a factor of 426469820? True Is 22 a factor of 75329961? False Does 87 divide 44714694? True Is 44059483 a multiple of 4? False Is 185698002 a multiple of 40? False Does 9 divide 19358533? False Is 344536256 a multiple of 116? False Does 274 divide 1605024760? False Is 32 a factor of 563616000? True Is 52946749 a multiple of 271? False Does 55 divide 6956895? True Does 466 divide 304044548? False Does 1399 divide 16216344? False Is 115559940 a multiple of 155? True Is 23 a factor of 9783246? False Does 712 divide 22672216? True Is 2721 a factor of 28477986? True Is 610 a factor of 42394348? False Is 41224033 a multiple of 114? False Is 8 a factor of 559849035? False Is 709 a factor of 54865256? True Is 357665340 a multiple of 678? True Is 58 a factor of 122682750? False Does 57 divide 3231085527? True Is 39404750 a multiple of 275? True Is 199 a factor of 1094027770? False Is 45864319 a multiple of 123? False Does 2173 divide 173390189? True Is 9 a factor of 288015873? False Does 92 divide 56827112? True Is 82984718 a multiple of 986? True Does 5797 divide 796200001? False Is 841342986 a multiple of 490? False Does 2552 divide 294329494? False Is 234016662 a multiple of 374? True Is 439 a factor of 294783973? False Is 19 a factor of 13807053? True Does 33 divide 81572733? True Is 93565519 a multiple of 50? False Is 41 a factor of 235181658? True Is 1116900142 a multiple of 44? False Is 380 a factor of 407113000? True Is 66486252 a multiple of 113? False Is 60465408 a multiple of 48? True Does 1052 divide 65596473? False Does 328 divide 161840448? True Does 2372 divide 1369413847? False Does 3918 divide 58307002? False Is 441 a factor of 24968538? True Is 404306192 a multiple of 60? False Is 151 a factor of 1893358800? True Does 717 divide 107612221? False Does 10 divide 100188720? True Does 37 divide 663779926? True Is 61542514 a multiple of 228? False Is 335370285 a multiple of 6? False Is 106361641 a multiple of 1612? False Is 348832190 a multiple of 1529? False Is 2632 a factor of 144554704? True Is 18 a factor of 18176348? False Does 13 divide 118600759? False Is 67444286 a multiple of 334? True Is 592129950 a multiple of 25? True Does 40 divide 269447154? False Does 469 divide 26539800? False Is 4 a factor of 24882688? True Is 2 a factor of 10782694? True Does 275 divide 35602856? False Is 6 a factor of 11420478? True Is 131 a factor of 104809694? True Is 24340734 a multiple of 1614? True Does 269 divide 128264042? True Is 109 a factor of 1080517926? False Is 1005 a factor of 9170625? True Is 1378238113 a multiple of 1215? False Is 2281352073 a multiple of 100? False Is 1817 a factor of 1671054926? True Does 91 divide 311898909? False Does 11 divide 11913195? False Is 331 a factor of 219104729? False Does 29 divide 762589379? False Is 949 a factor of 111850144? False Is 8655910 a multiple of 3? False Does 226 divide 203503280? False Does 33 divide 156327266? False Is 52981120 a multiple of 1830? False Is 5715318 a multiple of 349? False Is 722 a factor of 158033526? True Does 9 divide 609220656? True Does 4788 divide 1641853080? True Is 9729864 a multiple of 42? False Is 117647210 a multiple of 907? False Is 4191 a factor of 416866197? True Is 11 a factor of 6940560? True Does 423 divide 154364121? True Does 21 divide 4121422955? False Is 516 a factor of 695721252? True Does 74 divide 670436660? False Is 1801 a factor of 238980408? False Is 21 a factor of 119330679? False Is 258253895 a multiple of 14? False Is 195046272 a multiple of 128? True Is 5233032 a multiple of 54? True Is 114689190 a multiple of 1310? True Does 177 divide 68112973? False Does 5 divide 28551710? True Is 44 a factor of 5164009092? True Does 15 divide 126920465? False Is 587472204 a multiple of 2651? True Is 1004864649 a multiple of 7? False Is 59 a factor of 23142986? True Does 242 divide 51218816? True Does 451 divide 4084510576? False Is 115846885 a multiple of 2483? False Is 499372130 a multiple of 3568? False Is 56 a factor of 5592146000? True Is 189188984 a multiple of 23? True Is 1226 a factor of 1021121387? False Does 44 divide 19486010? False Is 37733328 a multiple of 72? True Is 14 a factor of 308299192? False Is 13 a factor of 17738357? True Is 14 a factor of 26665576? True Does 9 divide 1210242438? True Is 1035725152 a multiple of 5929? True Is 431834570 a multiple of 22? False Does 186 divide 412252471? False Is 70 a factor of 340944940? True Is 53206335 a multiple of 819? True Does 61 divide 59152676? True Is 7907 a factor of 239166545? False Does 225 divide 2360917547? False Does 10 divide 17969650? True Is 24 a factor of 3509973? False Is 150877549 a multiple of 149? True Is 202140722 a multiple of 14? True Does 105 divide 95392080? True Does 47 divide 48243479? True Is 112313808 a multiple of 3092? True Is 6 a factor of 3302011561? False Does 370 divide 4895081130? True Does 10 divide 222258054? False Is 59 a factor of 1267279172? True Is 29 a factor of 192865747? True Is 36 a factor of 2682380610? False Is 238 a factor of 33259786? True Is 4172960095 a multiple of 167? True Is 22236413 a multiple of 14? False Does 308 divide 69170332? True Does 8561 divide 245138163? False Is 2716372 a multiple of 29? True Is 614632896 a multiple of 1319? True Is 4347 a factor of 240202179? True Is 744 a factor of 9910824? True Is 38 a factor of 169423354? False Is 67 a factor of 4227485332? True Does 229 divide 16156604? False Does 31 divide 14102458? True Does 33 divide 980760? True Is 1505 a factor of 54612078? False Is 42972683 a multiple of 13? True Does 10 divide 9907155? False Is 172623554 a multiple of 107? False Is 361 a factor of 590622353? True Is 88149702 a multiple of 114? True Is 107 a factor of 1169526906? True Is 19 a factor of 188506144? True Is 21 a factor of 108394782? False Is 125971770 a multiple of 10? True Is 368 a factor of 2868260039? False Is 8543097 a multiple of 24? False Is 19 a factor of 93081758? False Is 1023627231 a multiple of 919? True Is 124 a factor of 493924488? True Is 12 a factor of 50084999? False Is 16385989 a multiple of 434? False Is 201280892 a multiple of 40? False Is 813157244 a multiple of 7? False Is 234678210 a multiple of 730? True Is 47919515 a multiple of 487? False Is 794 a factor of 75397956? False Is 53180398 a multiple of 103? False Is 2442539551 a multiple of 611? False Does 131 divide 174942009? False Is 162852600 a multiple of 2152? True Does 21 divide 4639215? True Is 879 a factor of 59681558? False Is 3642891135 a multiple of 64? False Does 183 divide 74807472? True Is 962 a factor of 3008174? True Is 25 a factor of 176803572? False Does 8 divide 73290808? True Is 12410345 a multiple of 21? False Is 6 a factor of 44565810? True Does 2153 divide 165707798? True Does 1794 divide 231343476? True Is 523064135 a multiple of 184? False Does 44 divide 61609094? False Is 59 a factor of 5427838505? False Is 1300232132 a multiple of 153? False Is 26 a factor of 2214214782? True Is 167778342 a multiple of 483? False Does 2012 divide 60657776? True Does 25 divide 64769825? True Is 1276671573 a multiple of 9? True Is 2381 a factor of 99066958? False Does 8363 divide 1188460902? False Is 267829926 a multiple of 139? True Is 106525952 a multiple of 115? False Is 606564120 a multiple of 662? True Is 6580
{ "pile_set_name": "DM Mathematics" }
b Which is the closest to 2/5? (a) -2 (b) -1 (c) 19/30061 (d) 0.4 d Which is the nearest to 4? (a) 38 (b) -1/11 (c) -5 (d) 9 (e) 4 e What is the closest to 7 in 0.5, -5/6, -3, 1, -2? 1 What is the nearest to -1 in 266, 2, -237, -74? 2 What is the nearest to 0.12 in 3, 2, 75599? 2 What is the nearest to -1/2 in -0.0150039, -4, -0.4, -0.5? -0.5 What is the closest to 1273 in 1.02, 0.5, -1/2, 0? 1.02 What is the closest to -6 in 3, -233, 14, 87? 3 What is the closest to 12 in 7, -42, 1/4, 206, 7/3? 7 What is the closest to -0.2 in 12/11, -86, 4/7, 35, 1? 4/7 What is the nearest to -0.1 in 1/6, 6, 4, 8326, 0? 0 Which is the closest to -4/9? (a) -425 (b) 2/13 (c) 2/249 (d) 11 (e) 0.5 (f) -1/5 f What is the nearest to 2/11 in 14, 0.004, 2, -0.3, 11/5? 0.004 What is the closest to 2/5 in -3, 0.05, 8/13, -3056, 0.1? 8/13 Which is the closest to -92? (a) -4 (b) 2 (c) 4 (d) 2/9 (e) -2/19 (f) 2/13 a What is the closest to -16 in -3/5, -3/2, 3, -4/7, -4/291? -3/2 Which is the nearest to -0.1? (a) 10 (b) -2/7 (c) -1098906 (d) -3/5 b What is the closest to 26 in 36/7, 3, -3.9, 1/5? 36/7 What is the closest to 2/5 in -482.7, 5, -2/11, 22? -2/11 What is the nearest to -0.03 in 1/11, -1012064, 2/13? 1/11 What is the closest to -2/3 in 15, 5, -2/3, -0.073, 6/11? -2/3 What is the closest to 1 in -86/2209, 0.2, -25, 0.3? 0.3 What is the nearest to 12 in 100, 3, -1/33, -13, 0? 3 Which is the closest to -2? (a) 2/3171 (b) 4 (c) -0.0625 (d) -2/3 d What is the closest to 0.43 in 12, -1/3, -257? -1/3 Which is the closest to -2/19? (a) 0.4 (b) 0.03 (c) 18340/9 (d) 0.5 b Which is the nearest to 13? (a) -0.58 (b) 4 (c) 1 (d) 2 (e) -1/3 b What is the closest to 440 in 0.5, 2, -107, -0.029? 2 Which is the closest to 6/29? (a) 3 (b) 0.3 (c) -58/13 (d) -2 (e) -3/8 (f) 0 b What is the nearest to -1/9 in 0.2, 1/6, -1968, 32/17, -0.1? -0.1 What is the nearest to 5 in 22/17, -1/8, 2/7, -0.5, 1.79? 1.79 Which is the closest to 1/4? (a) -5 (b) -0.9 (c) 12 (d) 6.07 (e) 10 b What is the closest to 166 in 2, 30, 10, -2, -1? 30 What is the nearest to -5/3 in -2, 1, 64404? -2 What is the closest to -3/598 in 2/57, -0.3, 25/3? 2/57 What is the closest to -136/13 in 0, 3/11, -8, -0.35? -8 Which is the closest to 2/325? (a) -765 (b) -4/5 (c) -5 b Which is the nearest to 1404? (a) -7/926 (b) 0 (c) 5 c Which is the nearest to 6? (a) -321 (b) 74/13 (c) 0.52 b What is the nearest to 2/183 in 4, -2/13, 2, 127? -2/13 What is the nearest to 0.1 in -0.96, 0, 1033? 0 What is the nearest to 2 in 0.4, -2/79, -4, 3/14, 1.6? 1.6 What is the nearest to -3 in 0.4, -15, -1, -19, -183? -1 Which is the closest to 1? (a) 0.0931 (b) -0.5 (c) 4/3 (d) 0.3 (e) -0.4 c What is the closest to -9.212 in -0.3, 0.142, 3? -0.3 Which is the nearest to 0? (a) 0.5 (b) -40500 (c) 0.08 (d) -0.4 (e) -2 (f) 0.2 c What is the closest to -740 in -0.1, 6, -73/4? -73/4 What is the closest to -1/4 in -153, -0.24, -2/3, 3, 8? -0.24 What is the nearest to -0.1 in 1/7, -0.01883, -5, 0.5, -220? -0.01883 Which is the nearest to -0.1? (a) 100 (b) -7/5 (c) 506 b Which is the nearest to -0.1? (a) -0.08 (b) -4 (c) 2 (d) -5 (e) -0.073 a What is the closest to -0.1 in -0.3, -8, 3/55, -2/655, 5? -2/655 What is the nearest to -0.05 in 1/2, -2/11, 28655? -2/11 Which is the nearest to -1? (a) -1247/3 (b) 2/13 (c) -0.03 (d) 8 c Which is the nearest to -0.0577? (a) -2 (b) -4 (c) 3 (d) 24 (e) -1.8 e What is the closest to -41 in 0.01, -64.456, -4? -64.456 Which is the nearest to -24? (a) -3/8 (b) -6 (c) 0 (d) -3/10 (e) 3/8 b Which is the closest to 0.001? (a) 3 (b) -5585 (c) 0.3 (d) 0.1 d Which is the nearest to 2/7? (a) 3804 (b) -0.3 (c) -0.11 (d) 37 c What is the nearest to -472 in 2/9, -299, -1/2? -299 What is the closest to -14455 in -0.03, -1/89, 2/15? -0.03 What is the nearest to 3848 in 4, 6, -0.5, 2/3, -0.4, -2? 6 What is the closest to -2/7 in -11.1, -42, 3/5, -23.1? 3/5 What is the closest to -1/2 in -6.1, -14/13, -0.1487? -0.1487 What is the closest to -2/3 in 5, 13, 26748, 15? 5 What is the closest to 1/4 in 4.9, -20/19, 37? -20/19 What is the nearest to -274.6 in -0.2, 10, 6, -4? -4 What is the nearest to -6950 in -5, -1/36, 2/7, 1, 3/5? -5 Which is the nearest to 3? (a) -1/13 (b) -28.85 (c) -4 (d) -3 a Which is the nearest to 0.2? (a) -8 (b) -1 (c) 1/3 (d) 0.035915 c Which is the closest to 0.1? (a) -6 (b) 1/4 (c) -2/113 (d) 30/13 (e) -2/7 c What is the nearest to -2/33 in 5, -0.3, 0.8, 80, 0.3, 7? -0.3 What is the closest to 2694 in -0.3, -1, -0.713, 2? 2 What is the nearest to -0.2 in -1, 3/30004, 13, -0.5? 3/30004 Which is the nearest to 1842? (a) 5 (b) 0.4 (c) 4 (d) 7/4 a What is the nearest to 1/12 in 12.09, 0, -15/19? 0 What is the closest to -541 in 149, 1, 5? 1 Which is the nearest to -14? (a) -1 (b) 2/23 (c) -3/4 (d) -0.15 a Which is the nearest to -17? (a) 0.7 (b) 10/13 (c) 3 (d) 0 (e) 4 (f) 154 d Which is the nearest to 43.2? (a) -0.2 (b) -3 (c) -2504 (d) -2 a Which is the nearest to -1/3? (a) 18 (b) -2244 (c) -17 (d) 9 d Which is the nearest to -3? (a) 1/12 (b) -4 (c) -3424 b Which is the nearest to 59/10? (a) 5 (b) -21/5 (c) 2/5 (d) 4 a What is the nearest to -549 in -1, 0.7, -8? -8 What is the nearest to 0 in 4, -2/9, 5, -0.07, -0.2, 0.0351? 0.0351 What is the nearest to -19/77 in 2/349, 16, 1/5? 2/349 What is the nearest to -17 in -0.0193, -49, 5? -0.0193 Which is the nearest to -55? (a) -689 (b) -22 (c) -0.5 (d) 1/8 b Which is the closest to 5/3? (a) 14 (b) -12 (c) 43 (d) -1 (e) 9 d What is the closest to 2 in 12375, 0.5, 0.2, -7? 0.5 Which is the nearest to 84/20032883? (a) -0.3 (b) 2 (c) -0.5 a What is the nearest to 4 in 1/4, 18920, 12? 1/4 What is the nearest to 4 in 52, -1.8, -43751? -1.8 What is the nearest to -1 in 1730, -5, 0.0128, -4, 0? 0 Which is the nearest to -6? (a) 1 (b) -0.3 (c) 41.7 (d) -1 (e) 0 d Which is the closest to 0? (a) -4/3 (b) -338.48 (c) -1 (d) 4 (e) 15/2 c Which is the nearest to 108639? (a) 0.18 (b) 1/4 (c) 3 c Which is the closest to -4? (a) 875 (b) -11 (c) -0.1 (d) -0.4 d Which is the closest to 2/3? (a) -0.26 (b) 2/7 (c) -1/8 (d) -1091 b Which is the nearest to -1/2? (a) 0.09 (b) 67 (c) -0.05 (d) 7 (e) -3 c What is the nearest to 1/4 in -6/13, -3, 1/4, 338? 1/4 Which is the nearest to 1169? (a) 1/3 (b) -5 (c) 849 c What is the closest to -68 in -91, 0.54, 70? -91 What is the nearest to -1567/127 in -109, 2, 2/3? 2/3 Which is the nearest to -0.2? (a) 5 (b) 0 (c) -7 (d) 41273 b What is the closest to -0.1 in -2, -0.4, -698, -1/2, -219? -0.4 What is the closest to -92 in 16, 6/211, -0.5? -0.5 What is the closest to 0 in 105, -254, -3/155, -5, -1/2? -3/155 Which is the nearest to 2/5? (a) -34.26 (b) 4 (c) -3 (d) -5.1 c Which is the nearest to 1/4? (a) -60/11 (b) 1 (c) 4.75 (d) 0.1 d What is the closest to 3/2 in -4, -1, 3/2, 2/29, 9? 3/2 Which is the nearest to 2.376? (a) -5 (b) 0.49 (c) -0.1 (d) 1/3 (e) -7 b What is the nearest to -0.1 in 0, -2, -97, -46979, -0.5? 0 What is the nearest to -115 in 7.53, -266, -0.5? -0.5 What is the nearest to 176518 in -0.3, 1/4, -15? 1/4 Which is the nearest to -21? (a) 365276 (b) -5 (c) -1/3 (d) 12 b Which is the nearest to 5479? (a) -1/5 (b) -2/9 (c) 2.7 (d) 0.29 (e) 3 e Which is the closest to 17964? (a) -1 (b) -3 (c) -142 (d) 1 d Which is the closest to 13? (a) -2/5 (b) -5 (c) 174 (d) -0.98 a What is the closest to -28246052 in -0.5, 0.2, 3? -0.5 What is the nearest to -1 in -1, -792, 2, 0.9? -1 What is the nearest to -2959 in 30, 1/3, 2/19, 3/5, 4/7? 2/19 What is the closest to 81 in -4, 4930, -0.3, -2, 5? 5 Which is the nearest to -1/4? (a) 2 (b) 5/2 (c) 1 (d) 4/3 (e) 9 (f) -1/29 f Which is the closest to -397/8? (a) 5 (b) 4 (c) 0 (d) -8 (e) -3 d Which is the closest to -23/74? (a) -1 (b) -16 (c) -2/9 (d) 1/3 c What is the closest to -2/1687 in 3, -1/4, -11/10, -0.3, 5, -31? -1/4 Which is the nearest to -0.2? (a) 297 (b) -193.8 (c) 1 (d) -2/15 d What is the closest to 1/3 in 186911/2, 325, -1? -1 What is the nearest to -4108.6 in -19, -0.03, -1? -19 What is the nearest to -25 in 53, -1/3, 2/11, 15, -7, -3? -7 Whic
{ "pile_set_name": "DM Mathematics" }
(d) -5 c Which is the fourth smallest value? (a) -3 (b) 0 (c) -1 (d) -4 b What is the third biggest value in -4, -1/7, -2/3, 8, -3? -2/3 Which is the third smallest value? (a) 3/5 (b) -5 (c) -4/5 (d) 2 (e) 380 a Which is the smallest value? (a) -440 (b) -1/5 (c) 0.5 (d) 0.02 a What is the fourth smallest value in 4, 1/3, -4, 15, -4/5? 4 Which is the biggest value? (a) 0.5 (b) -0.561 (c) 3 c Which is the third smallest value? (a) 4/3 (b) 3 (c) 0.2 (d) -2/3 (e) 11 a What is the third smallest value in -24, -4, -7/2? -7/2 Which is the second biggest value? (a) 2 (b) 4 (c) -1 (d) -2/3 a What is the fourth smallest value in -2, -2/5, -0.04, -3, -27? -2/5 What is the biggest value in -3/11, -2, 4? 4 Which is the biggest value? (a) -2 (b) 0.3 (c) -10/3 (d) -9 b Which is the third smallest value? (a) 1/5 (b) 0 (c) 2/11 a Which is the fifth biggest value? (a) 2/13 (b) -4 (c) 1 (d) 3/2 (e) -1.9 b Which is the smallest value? (a) 2/3 (b) -0.9 (c) -0.001 b Which is the second smallest value? (a) -2/9 (b) -1.9 (c) 0 (d) 1/5 a What is the fourth smallest value in -0.5, 109, 0, -2? 109 What is the biggest value in -3, -4, -30, 1? 1 Which is the third smallest value? (a) 8 (b) -15/4 (c) -2/9 a What is the third biggest value in 1/6, -7, 0.4, -5? -5 Which is the second smallest value? (a) 0 (b) -0.2 (c) -1/266 c What is the second biggest value in 7/2, -1/3, -0.1, 0.4? 0.4 What is the second smallest value in 6, 16, 2, 0.3? 2 What is the third smallest value in -5, 0.4, 0, 1, -2/119? 0 What is the second smallest value in -47, -0.2, 10, -0.4, 3? -0.4 Which is the second smallest value? (a) 0.9 (b) 0.8 (c) -4 b What is the fourth smallest value in -3/5, 87, -4, -5? 87 Which is the biggest value? (a) 404 (b) -1/4 (c) 0.1 a Which is the third smallest value? (a) -2/3 (b) -1/4 (c) 458 c Which is the third biggest value? (a) 3/4 (b) -2 (c) 9/4 (d) 2/19 d Which is the fourth biggest value? (a) 1/5 (b) 3 (c) -2/3 (d) 2 (e) 0.5 a Which is the biggest value? (a) 0.59 (b) 0.04 (c) 3/5 (d) 0 c Which is the third biggest value? (a) -0.4 (b) 0.3 (c) 0.18 (d) 11/4 c Which is the smallest value? (a) -2234 (b) 4/3 (c) 4 a Which is the second biggest value? (a) 49 (b) -2 (c) 2/3 (d) 0.4 (e) -2/19 c Which is the smallest value? (a) 1 (b) -0.5 (c) -43 (d) 0.26 c Which is the third biggest value? (a) 2 (b) 0.671 (c) 4 b What is the biggest value in -19, 1/486, -2/7? 1/486 Which is the fourth biggest value? (a) 35 (b) -3 (c) -5 (d) 1 c Which is the third biggest value? (a) -32 (b) -1 (c) -5 a What is the second biggest value in 2, 0.1, -5, 0.163? 0.163 What is the smallest value in 0.1, 2/13, -3, 16, -1/6? -3 Which is the smallest value? (a) -2/5 (b) -1 (c) 11.5 (d) -4 d What is the biggest value in -2.3, 0, -2? 0 Which is the third smallest value? (a) 2.9 (b) -2/5 (c) 4 (d) -4 (e) 0.4 e What is the fourth biggest value in 5, -2/15, 2, -9? -9 What is the biggest value in -0.5, -4, 6? 6 What is the second smallest value in 3, -9, -0.5, -51? -9 What is the second biggest value in -0.3, -4, -11, 3/5? -0.3 Which is the third smallest value? (a) -13 (b) 0 (c) -2 (d) 2/9 b What is the second biggest value in 0.0904, -2, -6? -2 Which is the second smallest value? (a) -4 (b) 0.4 (c) -5 a What is the second smallest value in -2, -12, 9/8, 0.2, -5? -5 What is the second biggest value in 39/2, 1/31, -1? 1/31 What is the second smallest value in -8/5, -0.3, 6? -0.3 What is the second smallest value in 9, 2/9, -20/11? 2/9 Which is the biggest value? (a) 1/7 (b) 0.3 (c) 2/11 (d) 172 d What is the fourth biggest value in -0.4, -4/3, -11, -7? -11 What is the second biggest value in -4, -2/5, 63? -2/5 What is the second smallest value in -0.1, -1/3, -5, 3? -1/3 Which is the second biggest value? (a) 0.0264 (b) 4 (c) 0 a Which is the third smallest value? (a) -0.2 (b) 0 (c) 30 c What is the third smallest value in -2, 2/5, -2/13, -1/55? -1/55 What is the third smallest value in 2/11, -0.2, 613? 613 What is the third smallest value in 0.8, -4, 0.07? 0.8 Which is the smallest value? (a) -5 (b) 0.4 (c) -0.3 (d) 1/4 a What is the biggest value in 0, -6, 1.14? 1.14 Which is the third biggest value? (a) -1/5 (b) 84 (c) -1/2 c What is the fourth biggest value in -1/19, -4, -1, -3, -0.1? -3 What is the third smallest value in 2/3, 1/4, -4, 3? 2/3 Which is the second biggest value? (a) -28 (b) -0.7 (c) -0.3 (d) -4 b Which is the third smallest value? (a) -2/19 (b) -0.05 (c) 0.01 c What is the smallest value in -25, -1/10, 53? -25 Which is the third smallest value? (a) 7 (b) -2 (c) -2/11 (d) 0 (e) 22 d What is the third biggest value in -0.5, -1, 7, 4, 0.2? 0.2 What is the third smallest value in -0.7, 0.31, -1? 0.31 What is the third biggest value in 2/27, 5, -4, -1? -1 Which is the third smallest value? (a) 10 (b) 0.5 (c) 0.1 (d) -2 b Which is the third smallest value? (a) 0.2 (b) -1.4 (c) -4/7 a Which is the third smallest value? (a) 3/2 (b) 0.019 (c) 0.6 (d) -3 (e) 2/9 e What is the biggest value in -9/7, 10, -3, -2/3? 10 Which is the third smallest value? (a) -10 (b) -11 (c) -2/3 (d) 0.2 (e) -1/2 c What is the third biggest value in -0.2, 0.033, 0.7? -0.2 Which is the third smallest value? (a) 9 (b) -1 (c) -6 a Which is the biggest value? (a) -2 (b) 21 (c) 4/5 (d) 2 (e) -0.06 b What is the third biggest value in 0.1, 2, -5, 0.18? 0.1 Which is the second smallest value? (a) -4 (b) -29 (c) 5 a What is the second smallest value in -1/6, -4.2, -5, 2/11? -4.2 Which is the fourth biggest value? (a) 7/4 (b) 3/4 (c) 0.4 (d) -10.8 d Which is the third biggest value? (a) 0.001 (b) -1/14 (c) 3 b What is the smallest value in 0.024, -2, 0, 3, -1? -2 What is the second smallest value in 1/8, 5, 13? 5 Which is the fourth biggest value? (a) -9 (b) 1 (c) -1/6 (d) -6/7 a What is the fourth biggest value in 4/3, -1/2, 0.2, 0.4? -1/2 Which is the second smallest value? (a) 2 (b) -5 (c) -1 (d) 16 (e) -7 b Which is the biggest value? (a) 1/11 (b) 2 (c) 0.15 (d) -2/17 (e) -1 b What is the second smallest value in 0, -3, -4, 2/2027, -5? -4 Which is the fourth smallest value? (a) 3/5 (b) -4 (c) 2/11 (d) 3/23 a What is the fourth biggest value in 0.124, 4, -0.1, 1? -0.1 Which is the fourth smallest value? (a) -1/3 (b) 1/2 (c) 1.05 (d) 3 d What is the second biggest value in 3/2, -1, 0.373? 0.373 Which is the third smallest value? (a) -0.2 (b) -6 (c) -11 a Which is the third smallest value? (a) -1 (b) 1.9 (c) 0.1 (d) 2 b What is the second smallest value in 8, 5/3, -5, 2/7? 2/7 Which is the fourth smallest value? (a) 5 (b) -3 (c) 2 (d) -11 (e) -4/5 c What is the fourth biggest value in -2.7, 2, -2/15, 3/5? -2.7 Which is the second smallest value? (a) -4 (b) -3.9 (c) 4 b Which is the second smallest value? (a) 0.06 (b) -1 (c) 1 (d) 2/11 a Which is the second biggest value? (a) 0.5 (b) 0.03 (c) 0 (d) 12/7 (e) -5 a Which is the second biggest value? (a) 1 (b) -22 (c) 1/2 (d) 2 (e) 4 d Which is the biggest value? (a) 123 (b) 1/7 (c) 5 a Which is the smallest value? (a) -3 (b) 7.2 (c) 3 a What is the second smallest value in 0, 2, 0.4, -8? 0 What is the biggest value in 0.43, -4, 0.4, 0.3? 0.43 Which is the second smallest value? (a) -0.3 (b) -1/4 (c) -0.2165 b What is the third biggest value in -5, 20, -0.4? -5 What is the smallest value in 2, 3/2, 5, 0.4, -4? -4 Which is the second smallest value? (a) -0.04 (b) -3/4 (c) -5/2 (d) -1 (e) -1/4 d Which is the smallest value? (a) -0.1 (b) 1 (c) 0.036 (d) -3 d Which is the fourth biggest value? (a) 0.3 (b) 1.07 (c) -2/7 (d) 3 c Which is the third smallest value? (a) 2/9 (b) 0.3 (c) 30 c Which is the second smallest value? (a) -5 (b) -0.3 (c) 0 (d) 0.3 (e) 2/15 b Which is the fifth biggest value? (a) -0.2 (b) 4 (c) 2 (d) -519 (e) 0 d What is the third biggest value in -0.3, -108, 160, -4? -4 Which is the third smallest value? (a) -2 (b) -19 (c) 289 c Which is the third biggest value? (a) -0.3 (b) 24 (c) 3 a Which is the second smallest value? (a) 2/3 (b) 8.7 (c) -5 (d) 5 a What is the second biggest value in 1/2,
{ "pile_set_name": "DM Mathematics" }
be (-790)/8 - 4/h. Let t = 212 + a. Is t a composite number? False Suppose -27005 = -3*l + 153*u - 149*u, 35998 = 4*l - u. Is l prime? True Suppose -2*s + h + 3*h + 622 = 0, -4*s = -h - 1272. Is s a prime number? False Let j = 4693 - 3051. Is j a prime number? False Suppose 0 = -2*v + 8, -4044 = 2*q - 6*q - 2*v. Is q composite? False Let t be 24/9*705/20. Let p = 299 - t. Is p prime? False Suppose 10*m - 2124 = -8*m. Is m a prime number? False Let u(d) = -1330*d + 331. Is u(-58) composite? False Let r(t) = 2 - 20*t - 6 + 22*t. Let g be r(4). Suppose -w - 184 = -5*l, 0*l - g*l - 3*w = -151. Is l a composite number? False Let v(i) be the first derivative of i**3/3 + i**2/2 - 5*i + 26. Suppose 3*r = y - 17, 2*r - 27 = 3*r + 5*y. Is v(r) a composite number? False Let x(t) = 60*t**2 - 3*t - 73. Is x(-8) a composite number? True Suppose 0 = 2*z - 2*f - f + 4, 5*z - f = 16. Suppose 4*c + 44 = -4*u, -z*c - 7 + 23 = 0. Is (-3768)/u - (-4)/(-20) a prime number? True Let o be (-11)/((-55)/(-9830))*2/4. Let q = o + 2914. Is q a composite number? False Let i(h) = -8888*h**3 - 2*h**2 - 4*h - 3. Is i(-1) a prime number? True Let i(u) = u**3 - 13*u**2 - 4*u + 29. Let q be i(9). Let c = 64 - q. Is c a composite number? True Let g = -11891 - -19284. Is g prime? True Let n(x) = 2120*x**2 - 17*x - 17. Is n(-2) a composite number? True Let d = 11 - 4. Suppose 6*c = d*c - 1. Is (c/1 - 0)*87 a composite number? True Suppose p - 3*k + 2860 = 0, 3*p + k - 2*k + 8572 = 0. Let t = -651 - p. Is t prime? False Suppose -v = 2*a - 4*v - 3037, 4*a = -v + 6095. Suppose 712 = 5*c - a. Is c composite? True Let l(c) = -c - c**2 - 4 + 5*c**2 + 3*c. Suppose -2*w = -4*b + 2, 3*w - 4*b + 15 = -2*b. Is l(w) composite? True Let v(f) = -f**3 - 5*f**2 - 2*f - 11. Let n be v(-7). Let j = 1092 - n. Is j a composite number? False Let z = 6005 + 324. Is z a prime number? True Let a be 3*-2*(-3)/6. Suppose -3*t - a - 21 = 0. Is (100/(-8))/(4/t) prime? False Let x = -38 - -32. Let s(r) = 7*r**2 + 11*r + 13. Is s(x) a prime number? True Suppose 0 = 5*b - d - 17 - 12, -2*d - 33 = -5*b. Suppose b = -5*z + j, -j + 2*j - 5 = 4*z. Suppose z*s - 746 = -2*s. Is s a prime number? True Suppose 2*r - 3*k = -3*r + 15, 2*k + 3 = r. Suppose 4*y = -2*m + 634, 0 = -4*y - r*m + 466 + 167. Suppose -y = d - 4*d. Is d a prime number? True Suppose w + 5 = -7. Is w/6*(-381)/2 a composite number? True Let v(y) = 3*y**2 - 6*y - 54. Let n be v(-19). Let b = 4784 - n. Is b prime? False Let c be 0/((-6)/(0 - 3)). Suppose 2*l - 4*g = 88, -4*g + 14 = -c*l + l. Suppose -q + 5*p + l = -53, 2*q = -4*p + 202. Is q prime? True Suppose 0 = g + 4*g + 3*a - 16, 5*a = 2*g - 25. Suppose -2*o = -4*o - g*d + 391, 381 = 2*o - 5*d. Let s = o - 51. Is s a prime number? False Let a(j) be the third derivative of 13*j**4/4 + 19*j**3/6 + 13*j**2. Is a(6) prime? True Let i(l) = l**2 - 13*l - 30. Let f be i(15). Is (-6)/(-2) + 1352 + 2 + f composite? True Suppose 0 = 5*z + 5*p - 4300, -p + 3437 = -5*z + 9*z. Is z a composite number? False Let y = -5020 + 8927. Is y a prime number? True Let t be -2 - (1/(-2) - 1142/4). Suppose -5*m + 501 = -t. Is m composite? False Let n be ((-112)/10)/(9/(-180)). Let y = -145 + n. Let z = y + 78. Is z a composite number? False Let b(p) be the second derivative of 11*p**4/12 - 2*p**3 + 4*p**2 + 80*p. Let k(s) = s**3 + 6*s**2 + 5*s - 7. Let t be k(-5). Is b(t) composite? False Let s(o) = 903*o - 52. Is s(2) a prime number? False Let d be (91 + -2)*(-18 - 5/1). Let l = d - -3045. Is l a prime number? False Is ((-140)/(-42))/(2/141) a prime number? False Let h = 3843 - -1163. Is h prime? False Suppose -5*v - 88 = r, -r = 4*r + 15. Let g = -3 - v. Suppose 0 = -g*m + 9*m + 5695. Is m a composite number? True Let h(m) = m**2 - m + 1. Let i be h(-1). Suppose -3 = -5*u + i*r + 21, 4*u = -2*r + 6. Suppose -3*w = -4*q - 273, 0*w + 2*w = u*q + 182. Is w a prime number? False Let i(p) = -6*p - 9 + 15*p + 3 - 29. Is i(14) a prime number? False Let b(g) = 1112*g**2 - 12*g + 41. Is b(5) a prime number? False Is 2 + -3 + -4 + 1126 a prime number? False Let h = 2 + -60. Let m be ((-30)/(-50))/((-2)/(-30)). Is (m/(-2) - -2)*h a composite number? True Suppose 0*f = d - 5*f - 7, 0 = -3*d - 3*f + 21. Is (-1 + -2358)/((7/(-1))/d) a composite number? True Suppose -5*x = 4*p - 878, -x + 5*p + 4 + 189 = 0. Let c = -20 + x. Is c prime? False Suppose m = 5*m + 3*b + 4, 0 = -5*m + b - 5. Is (m - 0)/((-3)/489) composite? False Suppose 6*a - 11*a = -18025. Suppose 4*b = k - 0*k - 721, 5*k - a = -3*b. Suppose 12*d = 11*d + k. Is d prime? False Let j be 30/(-20) + 32217/6. Suppose -27*o = -19*o - j. Is o composite? True Suppose 5*g = 3*g + 10. Suppose 1096 = -w + 3*w + 5*s, s = -g*w + 2694. Is w a composite number? True Suppose -5*g + 2133 + 667 = 0. Suppose g = 3*y - 235. Is y prime? False Suppose -23*u = -45033 - 12536. Is u a prime number? True Let i(v) = -14*v**2 - 9*v - 9. Let b be i(-6). Let f = -1655 + 1005. Let y = b - f. Is y a composite number? False Let f = -1 + 1. Suppose f = n + 2*u - 1, -n + 13 = -5*u + 3*u. Suppose n = 4*q - 261. Is q composite? False Let j = -19494 + 38696. Is j a composite number? True Let b = -113 - -209. Suppose 0*z + b = 3*z. Suppose 3*t = -z + 287. Is t a composite number? True Let d = -24 + 652. Let j = d - 107. Is j a prime number? True Suppose 4*x + 0 = 4, 3*g = -5*x + 20. Suppose -4*u + g = -15. Suppose -u*f + 992 = -303. Is f composite? True Suppose -4*m = -32*m + 64148. Is m a prime number? False Is (8070 - 1)/(-22 + 23) a prime number? True Let o be 6645/12 + (-12)/16. Let r = o - 222. Is r composite? False Is ((-39)/2 + 1)*(-133 - 433) composite? True Let f be (-1 - 0/(-2)) + 6. Suppose 3*y - 741 = 3*m, -f*y + 0*m + 1226 = -2*m. Suppose 0 = 4*h - 752 + y. Is h a prime number? True Let f(b) = b**2 + 7*b + 6. Let r be f(-6). Is (-1 - r)/((-12)/1068) composite? False Let t = 1589 - -18188. Is t a prime number? True Let a(t) = t + 3. Let s be a(-6). Let j be 0 - -1 - 2 - -1. Is j - (s - 127) - -1 a composite number? False Suppose -p = 5*c - 65, 5*p = c + 4*c + 205. Suppose 0 = 2*r - p - 61. Is r a composite number? False Is (44456/(-8))/(3/(-3)) prime? True Suppose -564 = -30*g + 33*g. Let z = 442 + g. Is z prime? False Let t(x) = x**2 - 4*x - 8. Let d be t(6). Suppose -3*z + 4*g - 44 = 0, -z + 4*g = -2*z - d. Is ((-476)/z + 4)*3 composite? False Let b(w) be the second derivative of w**5/15 + w**4/24 + w**3/6 - w**2/2 - 8*w. Let n(v) be the first derivative of b(v). Is n(4) composite? True Suppose 0 = -3*g + 2*f - 51, 2*f + 54 = -5*g - 15. Is 1086 + 12/g + (-27)/(-15) prime? True Suppose 0 = 10*l - 3*l - 11753. Is l a prime number? False Suppose 4*x = -5*n + 4*n - 137, x = 3*n - 31. Let y = -31 - -102. Let p = x + y. Is p prime? True Suppose 5*m - 1 - 9 = 0. Is 635/(-10)*m*-1 composite? False Suppose 4*h = -5*p + 3*p + 120074, 3*p - 3*h - 180075 = 0. Is p prime? True Let d(k) = k**3 + 937. Suppose -16*j + 18*j = 0. Let r be d(j). Is 1/2*(r - 3) prime? True Suppose 4*b - 7*x + 2*x - 21240 = 0, b - 3*x = 5317. Is b a prime number? False Let d be (2/(-4))/((-2)/16). Suppose -1410 - 302 = d*i. Let r = i + 721. Is r composite? False Let c = 8 - 12. Let h be -2 - 2/(c/4). Suppose -4*p - 4*d + 2 + 86 = 0, -5*d - 5 = h. Is p a prime number? True Suppose 17*j - 3742 - 6696 = 0. Is j composite? True Suppose c - 4*h + 0*h = 159, 2*c = 2*h + 306. Suppose 0 = 4*n - 33 - c. Suppose n = s - 145. Is s a prime number? True Let x = 21318 - 3901. Is x composite? False Suppose -3*q + 6 = 0, -4*x + 8*x = q + 4562. Is x composite? True Let x(u) = u**3 + 8*u**2 - 3*u - 17. Let p be x(-8). Let i(r) = 308*r - 3. Is i(p) composite? False Let w be 121 - (3 - 8/4). Is 6/2 + -14 + w a composite number? False Let w(j) = 568*j + 154. Is w(25) composite? True Let n = 23 + -28. Let r = n + 304. Is r composite? True Let s(p) = 4136*p**3 - 6*p**2 - 3*p. Is s(2) a prime number? False Let s(v) = v - 12. Let r be s(8). Let m = 1 - r. Suppose -m*d + 237 + 318 = 0. Is d prime? False Let a(v) = -44*v**2 - 4*v + 5. Let z be a(-4). Let t = 2226 + z. Is t composite? False Is 3*1778/9*12/8 a prime number? False Let m be 4/8*-4*(-1 + 0). Let r(y) = -1. Let u(k) = -55*k**2 + k + 5. Let f(z) = -4*r(z) - u(z). Is f(m) prime? False Suppose -4
{ "pile_set_name": "DM Mathematics" }
(-841/42) Simplify ((d*d*d**(-2/5)*d)**44)**15 assuming d is positive. d**1716 Simplify (f**(3/2))**(7/2)*(f/(f*f**0))**43 assuming f is positive. f**(21/4) Simplify (i*((i/((i*i**(-1/20)*i)/i)*i*i)/i*i)/i*i**2)/(i**1*i*i**(-3/11)*i*i) assuming i is positive. i**(71/220) Simplify (d**(-14))**(-11/8) assuming d is positive. d**(77/4) Simplify ((y/y**(-2/7))**(7/3))**(1/8) assuming y is positive. y**(3/8) Simplify ((m**9*m)/m*m)/m*m*m**(-1/21)/m assuming m is positive. m**(188/21) Simplify (v*(v*v**(3/5)*v)/v)**(-10) assuming v is positive. v**(-26) Simplify ((i*i**13)/(i*i/(i**(-1/8)*i)*i))**(-1/11) assuming i is positive. i**(-95/88) Simplify (o*o/o**1)**(1/5)*((o*o**(4/7)*o)/o)/(o*o**(-1)) assuming o is positive. o**(62/35) Simplify ((u*u**(1/9)*u)/((u/(u**(6/11)/u))/u))**16 assuming u is positive. u**(2624/99) Simplify (s*s/(((s*s**0/s)/s)/s))/(s/s**1)*s**(-1/6)/s**5 assuming s is positive. s**(-7/6) Simplify (m/m**30)/(m*m*m**(-23)) assuming m is positive. m**(-8) Simplify (t**(-1/3)*t)**18*(t/((t*t*t*(t/t**(2/13))/t)/t))/(t*t**5) assuming t is positive. t**(67/13) Simplify (r/(r/(r*r/(r*r*r**10))))/((r*r**(1/6))/r) assuming r is positive. r**(-61/6) Simplify u*u**(-13)*u**(-9/7) assuming u is positive. u**(-93/7) Simplify (w*w/w**(-2/39)*w)**(-15/11) assuming w is positive. w**(-595/143) Simplify ((x*x*x**1)/x*x*x/(x**(-2/9)/x))/((x**(-2)*x)/x*x/x**(-2/7)) assuming x is positive. x**(374/63) Simplify b**(3/4)*b*b/b**(-4/13) assuming b is positive. b**(159/52) Simplify (l*l**(-4/15)/l*l/l**(-1/3)*l*l)**41 assuming l is positive. l**(1886/15) Simplify (((w*w**(-2)/w*w*w)/w)/((w*w**0)/w))/(((w/(w/(w/(w*w*w/(w*w*w**(-2))*w)*w*w)))/w)/(w*w**4)) assuming w is positive. w**6 Simplify (a/(a*a*a/(a*((a*a*((a*a*a**(-18))/a)/a)/a*a)/a)))/a*a*a/(a*a**(-4/9))*a assuming a is positive. a**(-149/9) Simplify (n**(-3/20)*n)**49 assuming n is positive. n**(833/20) Simplify (y**9/y)/y*y*y**27 assuming y is positive. y**35 Simplify (c**1*c*c)**(2/109)*(c**(1/4)/c)/c**(-2) assuming c is positive. c**(569/436) Simplify ((k/(k*k**(1/6)))/k*k*k/(k*k*k**(-4/7)))/(k**(-2)/(k/(k*k**1))) assuming k is positive. k**(17/42) Simplify (m*m**(5/3)/m)/(m/(m**0*m))*m**(-3/5)/(m**(-3)/m) assuming m is positive. m**(76/15) Simplify (q**6*q)/(q*q**(-34)/q*q) assuming q is positive. q**40 Simplify q/(q*q*q*q**(2/39)*q*q)*q**0 assuming q is positive. q**(-158/39) Simplify v**0*v*v*(v*v*v*v*v**(-2/5))/v*((v*v*v/((v/v**(-1))/v)*v)/v)/v*v*v**3 assuming v is positive. v**(48/5) Simplify (v**2/v*v)**40/((v*v**(-1/3))/v*v)**31 assuming v is positive. v**(178/3) Simplify (h**(-9/4)/((h**(5/3)/h)/h))/(h/((h*h**(1/5))/h))**44 assuming h is positive. h**(-2227/60) Simplify (((o*o**(-1/3))/o)/o)**26/(o**(-1/2)*o**(-1/3)) assuming o is positive. o**(-203/6) Simplify (k/(k/k**(-2/23)*k)*(k*k**5*k*k)/k)**(1/4) assuming k is positive. k**(34/23) Simplify (q/((q**(-2/7)/q)/q)*q**(2/5))/(q**0*q**(1/11)) assuming q is positive. q**(1384/385) Simplify ((l*l*l**(-1/4)*l)/l*l**(-1/12))**(-23) assuming l is positive. l**(-115/3) Simplify t/(t**(-1/4)/t)*t**(-12) assuming t is positive. t**(-39/4) Simplify p**(4/13)*p**8 assuming p is positive. p**(108/13) Simplify i/(i*i**5/i*i*i)*i/(i**(-1/2)*i)*i*(i*(i/(i*i**(-1/6)))/i*i)/i*i**(2/15) assuming i is positive. i**(-21/5) Simplify ((y**2)**(-11))**(6/29) assuming y is positive. y**(-132/29) Simplify (z**(-1/2)*z**(5/4))**18 assuming z is positive. z**(27/2) Simplify o**(4/11)*o*o**(2/51) assuming o is positive. o**(787/561) Simplify (m/m**1)**(4/3)*((m/(m/m**0))/m)**(-1/20) assuming m is positive. m**(1/20) Simplify (o*o**23)/o**(2/33) assuming o is positive. o**(790/33) Simplify (p**0*p**(-6/5)*p)/(p/p**(-2))**(-25) assuming p is positive. p**(374/5) Simplify (g**(-2/3)/g)/(g/g**(-8))*g/(g*g*g/(g**(4/9)*g)*g)*g**(-1/9) assuming g is positive. g**(-37/3) Simplify z**(2/13)/z*(z*z*((z*(z*(z**(-20)*z)/z)/z)/z)/z)/z assuming z is positive. z**(-271/13) Simplify ((d**1/d)/d)**12/((d/(d/(d*d*d**(-6/7)*d)))/(d*d**(-1))) assuming d is positive. d**(-99/7) Simplify j**(-15)*j**17 assuming j is positive. j**2 Simplify (u*u/u**(-4/15))/((u**(-1/6)*u)/u) assuming u is positive. u**(73/30) Simplify g/(g/(g*g**(-2/5)*g))*((g/g**(-2/11))/g*g)/g assuming g is positive. g**(98/55) Simplify f**8/(f*f**(-2/17)*f) assuming f is positive. f**(104/17) Simplify (j**(1/3)/j*j*j)**(18/7)/((j/j**1)/j)**(-26) assuming j is positive. j**(-158/7) Simplify r/(r**(-13)*r*r*r)*r**(-2/25)*r assuming r is positive. r**(298/25) Simplify (a*a*(a/(a*a/a**(-1/43)*a))/a)/a**16 assuming a is positive. a**(-732/43) Simplify (o*o*o/(o**(-3)/o))/(o**6*o) assuming o is positive. 1 Simplify (d**(-2/7))**(-1/24) assuming d is positive. d**(1/84) Simplify (r**(-6)/r*r**(3/4)*r)**(2/11) assuming r is positive. r**(-21/22) Simplify j**(-1)*j*j/((((j/(j*j**(-2)*j))/j)/j)/j*j)*(j/(j*j/(j/j**4)))/j*j**0/j assuming j is positive. j**(-4) Simplify (o*o/o**(-13/4)*(o/((o**3/o)/o)*o)/o)**24 assuming o is positive. o**126 Simplify (k**3*k*k/(k**(3/7)/k)*k)/(k**(-1/2)*k/(k*k**4*k)) assuming k is positive. k**(169/14) Simplify s*s**(-1/8)*s*(s/s**(-17))/s assuming s is positive. s**(151/8) Simplify (x*x**(-18/13))/x**(1/30) assuming x is positive. x**(-163/390) Simplify r**(-6/11)*r*r*r*r**(-4)*r assuming r is positive. r**(-6/11) Simplify (((k/(k/k**(-2/7)))/k)/(k/((k/(k*k**(2/13)))/k)))**(32/5) assuming k is positive. k**(-10016/455) Simplify (j/j**(-1/2))**(8/7)/(j/(((j*j**(-1))/j)/j*j))**38 assuming j is positive. j**(-520/7) Simplify a**2/(a/(a**(2/9)*a*a)) assuming a is positive. a**(29/9) Simplify ((k**(-1))**38)**6 assuming k is positive. k**(-228) Simplify m**(2/31)*m**(-10) assuming m is positive. m**(-308/31) Simplify ((k*k**(-10)*k*k)/k**(4/5))**(-28) assuming k is positive. k**(1092/5) Simplify (l*l**(-20)*l*l*l)/(l/(l**(-1/4)*l)) assuming l is positive. l**(-65/4) Simplify ((x*x*x/x**20)/x*x**(-13))**37 assuming x is positive. x**(-1147) Simplify ((g**(-4/5)*g)/(g/(g**(-1/10)/g)*g))/((g**(2/11)/g)/g**(2/9)) assuming g is positive. g**(-1841/990) Simplify (z*z*z**(1/3))**(-3/5)/(z**8/(z/z**(-3/4))) assuming z is positive. z**(-153/20) Simplify (q*q/q**(-5/3)*q**(4/5))**20 assuming q is positive. q**(268/3) Simplify (x**(2/5))**(-1/25)*((x/((x**7/x*x)/x))/x)/(((x**(-2/13)*x)/x)/x) assuming x is positive. x**(-7901/1625) Simplify c**12*c**7 assuming c is positive. c**19 Simplify ((r/(r*r**(1/8)/r*r*r))**10)**(-2/167) assuming r is positive. r**(45/334) Simplify ((l/l**(-8))/(l/l**(1/3)))/((l/(l/(l/(l/l**(2/9)))))/l**(-7/5)) assuming l is positive. l**(302/45) Simplify n**(-2/3)/n**(-3/5) assuming n is positive. n**(-1/15) Simplify r**(-37)*r**(-37) assuming r is positive. r**(-74) Simplify (y*y**9/y*y)/(((y/(y**(-2/25)/y))/y)/y) assuming y is positive. y**(248/25) Simplify ((a*a**(-1/13)*a)/a)/a**(1/14) assuming a is positive. a**(155/182) Simplify (q/(q/(q*q**33)))/q*q**11/q assuming q is positive. q**43 Simplify v/(v*((v/v**21)/v)/v)*(v/((v**(2/17)/v*v*v)/v))/v assuming v is positive. v**(372/17) Simplify (j/(j**(2/7)*j)*j*(j*j**(2/9)*j)/j)/(((j*j/(j/(j**5/j))*j*j)/j)/j**0) assuming j is positive. j**(-256/63) Simplify (o**(-1/3)*(o/(o/((o*o/(o*o**(-2/3))*o)/o)))/o)**(-9/2) assuming o is positive. o**(-3/2) Simplify (a/(a/(a*a*(a**(-4)/a)/a)*a)*a*a*a**(2/5)*a)**39 assuming a is positive. a**(-312/5) Simplify ((z/z**6)/z**(-1/2))**9 assuming z is positive. z**(-81/2) Simplify v*v/(v*v**(2/5))*v/(v**2/v)*v*(v**(1/3))**(-2/9) assuming v is positive. v**(206/135) Simplify (d*d*d**(-8))**19 assuming d is positive. d**(-114) Simplify l**0/(l*l**(-2))*l**(3/7)/(l*(l/l**(-6))/l) assuming l is positive. l**(-39/7) Simplify (f*(f/(f**7*f))/f*f*f)/((f/f**(-2/17)*f)/f*f) assuming f is positive. f**(-121/17) Simplify s/s**(-3/25)*s**(-2/31) assuming s is positive. s**(818/775) Simplify z*z**(1/2)*z**(-12) assuming z is positive. z**(-21/2) Simplify (j**(-1/7)/j)/j**(-2/9) assuming j is positive. j**(-58/63) Simplify (a/((a**(-4)/a)/a))/a**(-27) assuming a is positive. a**34 Simplify ((m/(m*m**(-4))*m)**(32/7))**(-1/17) assuming m is positive. m**(-160/119) Simplify (s**6/((s**(-2/19)/s)/s*s))/((s*s**7/s)/s**8) assuming s is positive. s**(154/19) Simplify d**(-2/15)/d*d*d**(1/3)/d*d*d*(((d**(-2)/d)/d)/d)/
{ "pile_set_name": "DM Mathematics" }
(-9)/(4/(-21)*(-165)/(-110)). 1794 Suppose 2*z = 2*q - 218, z = 16*q - 13*q - 329. Calculate the lowest common multiple of q and 700. 7700 Let l = 126871/15 + -8460. Calculate the common denominator of l and -127/2622. 13110 Let f(q) = q**3 - 4*q**2 + 2*q + 1. Let m be f(1). Suppose m = 11*d - 5*d - 852. What is the least common multiple of d and 2? 142 Suppose q + 0 = 3. Suppose q*w - 352 = 215. Suppose 2*t - w = -5*t. What is the smallest common multiple of t and 30? 270 Let g = -5068 + 55697/11. Let s = -41096/7 + 5874. Find the common denominator of g and s. 77 Calculate the common denominator of (-105)/(-18)*((-7132)/1800 - 1 - -5) and 109/36. 540 What is the least common multiple of (-1064)/(-88) + (-80)/(-88) and 2? 26 Let c = -622626029/8484 + 6501280/101. Let i = c - -9018. Calculate the common denominator of 105/(-48) + 4/(-3)*(-15)/10 and i. 336 Let f = -548201/2206 + 5/1103. Let m = 1349/6 + f. Calculate the common denominator of 69/28 and m. 84 Let f(b) = -7*b + 40. Suppose -4 = 5*y + a, -5*y - 7*a = -4*a + 12. Calculate the least common multiple of 55 and f(y). 440 Calculate the common denominator of ((-23)/(-92)*(-584)/(-10))/((-5166)/(-15)) and -97/126. 5166 Let i = -358765867/1512 + 237279. What is the common denominator of i and 173/252? 1512 Suppose -1019*s = -46635 - 114374 + 4376 + 22125. What is the lowest common multiple of s and 35 - (-1 - 0)*1? 396 Let p = -713038/145845 - -2/16205. Find the common denominator of p and -21/893. 8037 Suppose -529*p = -516*p - 2392. Calculate the smallest common multiple of p and 138. 552 Let o = -25 + -31. Let u = o - -65. Suppose 3*h - u = 5*g, 2*h - 2*g - 4 = 2*g. What is the lowest common multiple of h and 16? 16 Suppose -41*z - 24 = -42*z + 4*c, -3*c = 4*z - 1. What is the least common multiple of 68 and z? 68 Calculate the smallest common multiple of 224 and (-60)/(-1)*(-2528)/(-395). 2688 Let x = 150/481 + -30047/116402. Calculate the common denominator of x and -101/176. 1936 Let h be ((-7)/20)/((-3708)/(-144)). Let k = -1669/1545 - h. What is the common denominator of k and -137/12? 60 Let y = 5117 + -261041/51. Find the common denominator of -7/300 and y. 5100 Suppose 58*o - 19840 = 38*o. Suppose o = -1336*x + 1338*x. What is the least common multiple of x and 11? 5456 Let x(w) = 58*w**2 + 2*w - 3. Suppose 0 = -6*i + 22 - 16. Let h be x(i). Let y = h + -30. Calculate the least common multiple of y and 12. 108 Let g(s) = 7*s**2 + 6*s + 6. Suppose -98 + 95 = 3*c. Calculate the lowest common multiple of 7 and g(c). 7 Let f = 2/2573 + 249569/15438. Let j = 5009/2 + -12563/5. What is the common denominator of f and j? 30 Let u(j) be the second derivative of j**3/6 + 13*j**2 + 2*j - 18. Calculate the smallest common multiple of 4 and u(-3). 92 Suppose c = 6*c - 3*j + 411, 345 = -4*c - 3*j. Let l = c + 106. Calculate the lowest common multiple of 22 and l. 22 Let m(h) = 2*h**2 - 31*h - 9. Let f = -1618 + 1681. Calculate the least common multiple of f and m(16). 63 Suppose 4*g = -41 + 13. Find the common denominator of -17/67 and -3 + 3 + 37/g. 469 What is the common denominator of (1*2 + (27 - -14))/(1 - 1831) and 51/122? 1830 Suppose 49 = -k + 40. What is the smallest common multiple of 6 and (3/k)/((-5)/240)? 48 Let q = -1430 + 3896. What is the least common multiple of 2740 and q? 24660 Suppose 4073*z = 4071*z + 900. What is the least common multiple of z and 1350? 1350 Let z = 168197/15554 + -1144/101. What is the common denominator of (-6)/(-16) + 1084/224 and z? 154 Suppose 232*c - 10800 = 235*c. Let x = c - -71887/20. Find the common denominator of 75/232 and x. 1160 Let w = -23485 - -25883. Calculate the smallest common multiple of 1526 and w. 16786 Suppose -12*h + 22 = -11*h. Let i = -11 - -15. Let m = 8 + i. What is the least common multiple of h and m? 132 Suppose -4*k + 564 - 503 = -659. What is the least common multiple of 342 and k? 3420 Calculate the common denominator of 79/1720 and -2 + ((-2905776)/(-27520))/51. 1720 Let l = 8267 + -8187. What is the smallest common multiple of l and 728? 7280 Let k = -134993/90 - -1500. Let w = -2/131923 + 132023/6596150. Find the common denominator of w and k. 450 Let j = 33992/11 - 3092. Find the common denominator of 1*62/44*2 and j. 11 Let l = 11274 - 10857. Calculate the least common multiple of 39 and l. 5421 Suppose 26 = -3*r - 2*a, 0*r - 50 = 4*r - 5*a. Find the common denominator of 5 and 355/2*1/r. 4 Suppose 76*h = 78*h - 72. Suppose 54 + h = o. Calculate the lowest common multiple of o and 15. 90 Let b = 927 - 11227/12. What is the common denominator of (2*(-183)/(-18))/(128/16) and b? 24 Suppose 4*k = 3*m + m + 208, 5*m + 4*k = -233. Let l = 32 + m. Calculate the common denominator of l/11 + 9/(-3) and -41/11. 11 Let b(j) = 11*j**3 - 2*j**3 + 74*j**2 - 74*j + 87 - 7*j**3. What is the least common multiple of 317 and b(-38)? 3487 Let p = -36929/6 + 6139. Let l = -129083/15896 + -9/1987. Find the common denominator of l and p. 24 Let y = 17893/942 - -27/157. Let s be (-177)/3*(4 - 53478/13980). Let w = -48/233 - s. What is the common denominator of w and y? 30 Let i be (-17)/51 - 13/(-3). Suppose -3*u + i = -38. Calculate the least common multiple of u and 82. 574 Let m = -15269/117 + 1750/13. Let x = -104800/21933 + 1/2437. What is the common denominator of m and x? 9 Suppose -g = 3*g + 5*t - 47, 0 = -3*t + 3 + 6. Suppose 0 = -4*b + 2*b + 84. What is the least common multiple of b and g? 168 Let l = -27149/2472 + -44/309. Let b = -1334168/69 + 19336. What is the common denominator of b and l? 552 Let o(j) = j**3 - 6*j**2 + 2*j - 5. Let l be o(6). Suppose 5*v - 13 = f, 5*v + 3 = -2*f + l. Calculate the least common multiple of 56 and v. 56 Let b be (-126)/(-162) - (-4)/18. Let d = -109 + 194. Find the common denominator of (d/12 + b)*-2 and 89/16. 48 Suppose -11*l = -15*l - 5*j + 719, 0 = -3*l - 3*j + 540. What is the smallest common multiple of 7 and l? 1267 Suppose 0 = -m + 5*s + 11, 3*m + 16*s - 11 = 20*s. What is the lowest common multiple of m and 1512? 1512 Let y = 258031/18 - 14327. Calculate the common denominator of -163/1404 and y. 1404 Let l be (-15)/135 - (-34305)/(-351). Let m = 1260/13 + l. Find the common denominator of m and 37/9. 117 Let q(p) = -67*p - 838. Calculate the lowest common multiple of q(-24) and 28. 1540 Let a = -687035/121758 - 2/8697. Find the common denominator of a and 103/1940. 13580 Let a = 2525561/2238580803 - 45/41233. Let q = a + -1104041/3366042. What is the common denominator of q and 115/14? 1302 Let k = -103 + 53. Let i(t) = -t**3 + 62*t**2 - 391*t + 279. Let j be i(55). Let o = k - j. What is the lowest common multiple of 11 and o? 11 Calculate the least common multiple of 7/6 - 28458/(-324) and 7. 623 Suppose -3*c - 4*w = -736, 5*w = 4*c - 492 - 479. What is the smallest common multiple of 16 and c? 976 Let u = 1087/76 - -18/19. Let a = 9/15593 - 1395967/14189630. Find the common denominator of a and u. 1820 Suppose 0 = 8*b + 23*b + 93. Find the common denominator of 26/33 and b/(-7) + 2/((-420)/(-71)). 330 Calculate the common denominator of ((-3)/(-70)*94)/2 and ((-37)/(-259))/((-5)/(-406)). 70 Calculate the lowest common multiple of 381 and ((-64)/6 - -10) + (800/3)/4. 8382 Let l = 2445336 - 14708693/6. Let a = 6098 + l. Calculate the common denominator of -95/12 and a. 12 Suppose 1268*q - 3033 = 931*q. Calculate the lowest common multiple of 675 and q. 675 Let f = -44 - -47. Suppose 5 + f = 8*s. Suppose -x = q - 30 + s, -2*q = -10. What is the least common multiple of 21 and x? 168 Let y be (40/(-120))/(902/(-4176)). Let s = -1/451 - y. Find the common denominator of 123/(-6)*4/(-42) and s. 231 Let o be -41*(0 + 6)/(-6). Let m = 49 - o. What is the least common multiple of (-1)/((-1)/22) + 0 and m? 88 Let l(j) = -65*j + 537. Calculate the lowest common multiple of 6 and l(6). 294 Let n = -909 + 933. Calculate the least common multiple of 56 and n. 168 Let j = 10763607/496 + -21701. Find the common denominator of -129/620 and j. 2480 Suppose -8320*p = -8308*p - 1764. Calculate the least common multiple of 252 and p. 1764 Let w = -91728 + 31187389/340. What is the common denominator of 71/68 and w? 340 Calculate the common denominator of 85/154 and 2/(-60)*69 - 3/12. 1540
{ "pile_set_name": "DM Mathematics" }
- 6*d + 0 to u*d + r and give u. -6 Rearrange (-2*j**2 - j**2 + j**2)*(-1 + 2 - 5) - 3*j - 2*j**2 + 3*j + (-4*j + 3*j - j)*(3*j - 3*j - 2*j) to o + w*j + d*j**2 and give d. 10 Rearrange 3*g**2 + 6*g**2 - 3*g**2 + (-1 + 1 + 1)*(-12*g**2 + 2*g**2 - 4*g**2) to the form z*g**2 + n*g + i and give i. 0 Express 9*y**2 + 90*y - 90*y in the form z*y + b + c*y**2 and give z. 0 Rearrange -437 + 4*f**2 + 222 + 227 to the form g*f + x*f**2 + o and give o. 12 Rearrange 2*z**3 - 2*z**2 + 3 + 7*z**4 - 4 + 9*z**4 - 9*z**4 to q*z**4 + h + u*z + r*z**2 + g*z**3 and give r. -2 Express -9*s + 2*s**4 - 5*s - 90*s**2 + 91*s**2 as t*s**3 + y*s**4 + g*s + p*s**2 + v and give y. 2 Express (-100*l**2 + l**3 - 4*l + 100*l**2)*(0*l - 3*l - 2*l) as r*l + u*l**2 + a*l**4 + x + k*l**3 and give a. -5 Rearrange -45 - 6*k**2 - 8*k**2 + 44 to the form g + p*k**2 + d*k and give g. -1 Express m + 10*m**2 + 5*m**2 - 2 - 17*m**2 + 3*m**3 + m**4 in the form a*m + x*m**2 + p*m**4 + f*m**3 + o and give f. 3 Express 254*b**2 + 236*b**2 - 477*b**2 as p + r*b + o*b**2 and give p. 0 Rearrange (3*s + 3*s - 4*s)*(2 - 5 + 1) + 27*s + 983 - 983 + (-s + 0*s - s)*(-6 + 4 + 3) to n + h*s and give n. 0 Rearrange l + 13 - 3 + 3 + 11 to the form r + i*l and give i. 1 Express (-1 + 1 - 2)*(-p + p - p)*(-2 + 4 + 0) - 6*p + 20 - 20 as m*p + v and give m. -2 Express (-b + 3*b + b)*(-4*b - 5*b + 4*b) + 3*b**2 - 2*b**2 + b**2 in the form i*b**2 + k*b + w and give i. -13 Express 10*i + 2*i + 17*i in the form w*i + x and give w. 29 Rearrange 0*z**4 + 6*z**4 + 2*z**4 + (-z**2 - 3*z**2 + z**2)*(-2*z**2 + z**2 - z**2) to h + c*z**4 + b*z + y*z**2 + n*z**3 and give c. 14 Express -2*d - 14 + 7*d - d - d in the form q*d + z and give q. 3 Express -7*s + 15*s + 4 - 9*s + 2 as w*s + r and give r. 6 Rearrange 4*j**2 - 2*j**3 + 6 - 2*j**2 - 3*j**2 to the form y + p*j + n*j**2 + i*j**3 and give n. -1 Express 33*i**3 + 6*i**2 - 4*i**2 - 32*i**3 - 1 + 2*i in the form k*i + t*i**2 + g*i**3 + s and give t. 2 Rearrange (4*p + 0*p - 2*p)*(1 + 1 + 1)*(0 - 2*p + 0)*(6 + 2 - 1) to the form i*p + b + f*p**2 and give f. -84 Express 30*s + 11 - 4 - 7 as y + f*s and give f. 30 Express -3*w + 0*w + 2*w - 13*w**3 - 33*w**3 - 1 in the form q*w**3 + p*w**2 + b*w + m and give m. -1 Express (-3 + w + 3)*(w**3 + w**3 - w**3) + (-3*w - 2*w - 2*w)*(0*w**3 + 3*w**3 + 0*w**3) as c*w**4 + y*w**2 + a*w + m + u*w**3 and give c. -20 Express (0*n - 2*n - n)*(3*n + 2*n - 4*n)*(-3 + 0 + 1 - 2*n) as r*n**2 + a*n + s + p*n**3 and give r. 6 Rearrange (-5*p + 18*p + p)*(-1 - p**3 + 1) to m + h*p**2 + k*p**4 + u*p + s*p**3 and give u. 0 Rearrange (-4*o + 3*o - 5*o)*(-4 + 0 - 4*o + 2) to the form z + c*o + s*o**2 and give s. 24 Rearrange -3*v + 4*v + 0*v + (-3 + 3 + 1)*(-2*v + 3*v + v) + v + 3*v - 6*v + 11*v - 8 + 8 to the form i + r*v and give r. 12 Rearrange (-2*l - 1 + 1)*(2*l + 3*l - 3*l) - 15*l**2 + 0*l**2 + 0*l**2 to the form m*l + d + j*l**2 and give j. -19 Rearrange 5*o**2 + 6*o**2 - 3*o**2 + 8*o**2 to p + l*o + k*o**2 and give k. 16 Rearrange 3*b**4 - 15 + b**3 + 11 + 6 to the form v*b**2 + u*b + q*b**4 + y + s*b**3 and give y. 2 Express -24*d + 33*d - 82*d - 58*d in the form z*d + f and give z. -131 Rearrange 11*o + 55*o + 29*o to u*o + p and give u. 95 Rearrange -7214 + 7214 - 20*k**2 to the form q*k + g*k**2 + n and give g. -20 Express 19*n + n**2 - 19*n + 8 - 3*n**2 in the form i + f*n**2 + s*n and give i. 8 Rearrange -48*n + 38*n + 95*n + 79*n to t*n + v and give t. 164 Rearrange (4*z - 2*z + 4*z)*(-2 + 2 + 2)*(-1 + 2 + 1)*(0 - 2 + 4) to the form i + m*z and give m. 48 Express 18 - 21 + 6*o**2 - 5*o**3 + 3*o**3 - 3*o**2 as b*o + k + j*o**3 + u*o**2 and give k. -3 Rearrange (0 + 0 + 5*l)*(-4*l - l**2 - 6*l**2 + 5*l) to f*l**3 + q*l + b*l**2 + k and give f. -35 Express (16*h + 3 + 18*h - 33*h)*(1 + 1 + 0)*(-3 - 2 + 3) in the form n*h + l and give l. -12 Rearrange -16*v**3 - 7*v**2 - 2 + 5*v**3 + 7*v**2 to u + c*v**3 + m*v + l*v**2 and give c. -11 Rearrange -5*b - 14*b + 3*b - 20*b to the form m*b + i and give m. -36 Rearrange 3*z**4 - 2*z - 6*z**4 - 14 + 4*z**4 to the form u*z**2 + k*z**3 + w*z**4 + s*z + c and give c. -14 Rearrange 0*z**2 + 8*z**2 + z**2 - 2*z**2 to the form o + d*z**2 + t*z and give d. 7 Rearrange 0*y**2 - 3*y - 3*y**3 + 0*y**2 to the form q*y + t + l*y**2 + o*y**3 and give o. -3 Express 4 + 105*s**3 - 2 - 71*s**3 in the form f*s + z*s**3 + y + m*s**2 and give y. 2 Express 3*n - 177 + 10*n**3 - n**2 - 3*n + 175 in the form r*n + d*n**2 + w + o*n**3 and give o. 10 Rearrange (0*s**2 + 2*s**2 + 0*s**2)*(0 + s + 0) - 2 + 7*s**3 + 4*s**3 + 0 to p + j*s + o*s**2 + a*s**3 and give a. 13 Rearrange -29*a - 2*a - 28*a + 11*a to k + n*a and give n. -48 Rearrange (4*a**3 - 2*a**3 + 0*a**3)*(0*a + a + 0*a)*(4 + 6 - 6) to the form s*a**4 + l*a + m + r*a**2 + u*a**3 and give s. 8 Rearrange (-1 + 0 + 3)*(-17 + 17 - 8*t) to s + b*t and give s. 0 Express 3*i**4 + 0*i**4 - 2*i**4 + (-2*i**3 + 6*i**3 - 3*i**3)*(28 - 28 - 82*i) as h*i**3 + p*i + z + b*i**4 + g*i**2 and give b. -81 Express p**3 + p**2 + 2*p + p - 2*p**2 as g*p + u + t*p**3 + d*p**2 and give g. 3 Express 0*m**2 + m**2 + 0 + 2 - 11 in the form y + s*m**2 + g*m and give y. -9 Express 5*b**2 - 6*b - 5*b - 7*b**2 - b**2 - b**2 + b**2 + (-2*b + 0*b + 3*b)*(-b + b + 2*b) as o*b**2 + n + d*b and give o. -1 Express (3*y - 3*y - 2*y)*(-5 + 1 - 1) - 1 + y + 1 - 3*y + 2*y + 2*y as h*y + o and give h. 12 Express (-335 + 51*d + 335)*(0 + 4 + 1) in the form a + o*d and give o. 255 Rearrange 5*o + 51*o**2 - o**2 - 5*o to the form q + f*o**2 + w*o and give f. 50 Express (-2 + 2 - 1)*(2*t**2 + 3 - 3) - 3 - t**2 + 4 + 4*t**2 as w*t**2 + r + n*t and give w. 1 Rearrange 116 - 116 + 7*h to f*h + n and give f. 7 Rearrange (2*b + 4*b + 0*b)*(5 - 6 + 2)*(-b**2 + 3*b**2 + 0*b**2) to the form m + o*b + p*b**3 + t*b**2 and give p. 12 Express -2*p**4 - 46*p**3 + 46*p**3 + 5*p - 2*p**2 as f*p**3 + a*p + r + b*p**4 + j*p**2 and give a. 5 Rearrange 2*p**3 + 8 - p**2 - 6 - 4*p**2 to x*p**2 + n*p**3 + b + j*p and give n. 2 Rearrange (2*m**2 - 3*m**2 + 0*m**2)*(3*m + 2*m - 4*m)*(-2*m + 3 - 3) to the form z*m + c + d*m**2 + g*m**3 + o*m**4 and give o. 2 Rearrange (h**2 + h**2 - 4*h**2)*(-4*h**2 + 0*h**2 + 3*h**2) - 15 + 5*h + 12 + 5 + 2*h**2 + 2*h**4 to z*h**4 + g*h + o + t*h**2 + f*h**3 and give z. 4 Rearrange -i**4 + 6*i + 8*i**4 - 5*i**4 - i**3 to w + u*i**3 + g*i + b*i**2 + n*i**4 and give g. 6 Express 10 + 2 - 7 - 2*c + 9 as d*c + q and give d. -2 Rearrange (h - 6*h - 6*h + (0*h + 3*h - h)*(-4 + 1 + 2))*(0*h + 0*h - 2*h) to s + a*h + z*h**2 and give z. 26 Express -18*i**3 + 2*i**4 - 1 + i + 0*i**4 + 20*i**3 in the form d*i + w*i**2 + a + r*i**3 + j*i**4 and give j. 2 Express 11*h - 13*h + 17*h as w + m*h and give m. 15 Rearrange 3*y**2 + 4*y + 10*y - 14*y to t*y + b*y**2 + f and give b. 3 Rearrange (0*b - b + 3*b)*(b - 1 + 1) - 5*b**2 + b**2 - b**2 + (-3*b + 3*b - 2*b)*(-1 + b + 1) + 2*b**2 - b**2 + b**2 to q + f*b**2 + r*b and give q. 0 Rearrange -b**4 - b**4 + 0*b**4 + (-5*b**2 + 8*b**2 + 5*b**2)*(2*b - 5*b + b)*(3 + 4*b - 3) to q*b + l*b**3 + g*b**4 + k*b**2 + z and give l. 0 Rearrange (-2 + 3 - 3)*(7*s - 4*s - 4*s)*(-5 + 3 - 2*s + 3) to the form q*s + l*s**2 + j and give l. -4 Rearrange (5 - 25 + 1)*(0 + 1 + 7*h - 4*h) to g + r*h and give g. -19 Rearrange (-n**3 - 2*n**3 + 5*n**3 + (1 - 2*n - 1)*(-3 + 3 - n**2) + 0*n**3 + 4*n**3 + 0*n**3)*(-2 + 2 - n) to a*n**3 + z + i*n**4 + u*n + t*n**2 and give i. -8 Rearrange -f**3 - 4*f**4 - 4*f**3 + f**3 + f + 3*f**3 to the form m*f**3 + r*f**2 + z + v*f**4 + o*f and give o. 1 Express -11 + 2 + 4*a - 4*a + a**2 as o*a**2 + f + s*a and give o. 1 Rearrange -4*v - 2*v**3 + 2*v + 4*v - 2*v**4 - 4*v**2 - 1 to m + p*v**2 + o*v + k*v**4 + y*v**3 and give m. -1 Express (2*h**2 - h**2 - 3*h**2)*(-1 + 1 + 2 + (-1 + 5 - 3)*(-22 + 11 + 4)) as c*h + v*h**2 + a and give v. 10 Rearrange 2*w**4 + 3*w**2 - 3*w**2 + 2*w**3 + (5*w**3 + 4*w**3 - 4*w**3)*(-3*w - 6*w + 7*w) to f*w**3 + c*w**4 + l + j*w + h*w**2 and give c. -8 Rearrange v**3 - 3*v**2 + v**2 + 4*v**2 - 4*v**2 - 20*v to the form g*v + j + r*v**3 + t*v**2 and give r. 1 Rearrange (-v + 4 - 4)*(6*v**3 - 2 - 29*v**2 + 15*v**2 + v + 12*v**2) to the form a*v + y*v**2 + j*v**4 + h*v**3 + x and give h. 2 Rearrange 25 - 48 + 23
{ "pile_set_name": "DM Mathematics" }
8571544, -35714420, -42857292, -50000160? 2*s**2 - 7142894*s What is the x'th term of -4510, -36388, -123170, -292390, -571582, -988280, -1570018? -4589*x**3 + 82*x**2 - x - 2 What is the u'th term of -19774229, -39548453, -59322675, -79096895, -98871113, -118645329, -138419543? u**2 - 19774227*u - 3 What is the y'th term of 395408, 3160888, 10667194, 25284740, 49383940, 85335208, 135508958? 395069*y**3 - y**2 + 340 What is the u'th term of 43958, 177630, 401006, 714092, 1116894, 1609418, 2191670? u**3 + 44846*u**2 - 873*u - 16 What is the k'th term of 96903, 388666, 874937, 1555716? 97254*k**2 + k - 352 What is the u'th term of -44934, -89902, -134872, -179844, -224818? -u**2 - 44965*u + 32 What is the a'th term of 29106, 59535, 89964, 120393, 150822, 181251? 30429*a - 1323 What is the m'th term of 18653, 74597, 167811, 298295, 466049, 671073, 913367? 18635*m**2 + 39*m - 21 What is the v'th term of -347615536, -695231073, -1042846610, -1390462147, -1738077684? -347615537*v + 1 What is the u'th term of -2944, -35735, -90386, -166897, -265268, -385499? -10930*u**2 - u + 7987 What is the d'th term of -29284, -25474, -21666, -17860? -d**2 + 3813*d - 33096 What is the a'th term of 471394, 942780, 1414144, 1885480, 2356782, 2828044, 3299260? -a**3 - 5*a**2 + 471408*a - 8 What is the w'th term of 181501, 725932, 1633325, 2903686, 4537021, 6533336, 8892637, 11614930? w**3 + 181475*w**2 - w + 26 What is the a'th term of 74053, 296077, 666121, 1184185, 1850269, 2664373? 74010*a**2 - 6*a + 49 What is the l'th term of -55, 456, 1321, 2540? 177*l**2 - 20*l - 212 What is the t'th term of 20211, 161415, 544683, 1291047, 2521539, 4357191, 6919035, 10328103? 20172*t**3 + 39 What is the s'th term of -417330, -417415, -417504, -417597, -417694, -417795? -2*s**2 - 79*s - 417249 What is the q'th term of 438788, 877594, 1316436, 1755332, 2194300? 3*q**3 + 438785*q What is the h'th term of -43175, -86869, -130565, -174263, -217963, -261665? -h**2 - 43691*h + 517 What is the f'th term of 1130085, 1129898, 1129711, 1129524, 1129337, 1129150? -187*f + 1130272 What is the k'th term of 11378, 14850, 18322? 3472*k + 7906 What is the x'th term of -803480, -1606160, -2408840? -802680*x - 800 What is the d'th term of 2567, 545, -1477? -2022*d + 4589 What is the l'th term of 4134201, 4134198, 4134195, 4134192? -3*l + 4134204 What is the a'th term of -43780, -175512, -395806, -705268, -1104504, -1594120, -2174722? -101*a**3 - 43675*a**2 - 4 What is the y'th term of -4791, -8645, -15069, -24063, -35627, -49761? -1285*y**2 + y - 3507 What is the j'th term of 118407, 118667, 118925, 119181? -j**2 + 263*j + 118145 What is the r'th term of -139195548, -278391101, -417586654? -139195553*r + 5 What is the d'th term of 105296, 210588, 315880, 421172, 526464, 631756? 105292*d + 4 What is the n'th term of 71901, 72013, 72185, 72447, 72829, 73361, 74073, 74995? 5*n**3 + 77*n + 71819 What is the a'th term of -114590, -458074, -1030554, -1832036, -2862526? -a**3 - 114492*a**2 - a - 96 What is the x'th term of 112536919, 225073839, 337610759, 450147679? 112536920*x - 1 What is the g'th term of -961, -14, 931, 1874, 2815, 3754, 4691? -g**2 + 950*g - 1910 What is the f'th term of 836, 1175, 1014, 353? -250*f**2 + 1089*f - 3 What is the y'th term of -6364, -23878, -52540, -92350, -143308, -205414? -5574*y**2 - 792*y + 2 What is the d'th term of -51055336, -51055335, -51055334, -51055333, -51055332, -51055331? d - 51055337 What is the q'th term of 349, -791, -2663, -5267, -8603, -12671, -17471? -366*q**2 - 42*q + 757 What is the p'th term of 416996316, 833992633, 1250988950? 416996317*p - 1 What is the r'th term of 136295, 140412, 144529, 148646, 152763? 4117*r + 132178 What is the c'th term of 432, 789, 1380, 2205, 3264, 4557, 6084? 117*c**2 + 6*c + 309 What is the x'th term of 78775, 315107, 708993, 1260433? 78777*x**2 + x - 3 What is the t'th term of -2366970, -2366945, -2366920? 25*t - 2366995 What is the k'th term of 189933, 189728, 189521, 189312, 189101, 188888, 188673? -k**2 - 202*k + 190136 What is the b'th term of 520, 4116, 13788, 32548, 63408, 109380, 173476? 502*b**3 + 26*b**2 + 4*b - 12 What is the a'th term of 12137, 24117, 36097, 48077, 60057, 72037? 11980*a + 157 What is the r'th term of 346, 777, 1356, 2149, 3222, 4641? 11*r**3 + 8*r**2 + 330*r - 3 What is the v'th term of -119619, -239209, -358789, -478353, -597895? v**3 - v**2 - 119594*v - 25 What is the o'th term of 37989, 303835, 1025339, 2430309, 4746553? 37968*o**3 + 21*o**2 + 7*o - 7 What is the h'th term of -9100, -10845, -15540, -24661, -39684? -246*h**3 + h**2 - 26*h - 8829 What is the f'th term of -89532, -90838, -92144, -93450, -94756? -1306*f - 88226 What is the k'th term of -7787727, -7787716, -7787693, -7787652, -7787587? k**3 + 4*k - 7787732 What is the b'th term of -10002711, -20005430, -30008149, -40010868, -50013587? -10002719*b + 8 What is the n'th term of -4502, -6052, -8640, -12266? -519*n**2 + 7*n - 3990 What is the g'th term of 89484, 88330, 87176, 86022, 84868, 83714? -1154*g + 90638 What is the q'th term of 172867, 345632, 518411, 691204, 864011? 7*q**2 + 172744*q + 116 What is the x'th term of 539, 3533, 8519, 15497? 996*x**2 + 6*x - 463 What is the o'th term of -45204, -90403, -135580, -180723, -225820, -270859? 2*o**3 - o**2 - 45210*o + 5 What is the q'th term of 8748998, 17497990, 26246982, 34995974, 43744966? 8748992*q + 6 What is the t'th term of -41673, -85871, -130067, -174261? t**2 - 44201*t + 2527 What is the f'th term of -306, -527, -664, -699, -614? 3*f**3 + 24*f**2 - 314*f - 19 What is the p'th term of -1064, -7443, -18072, -32951, -52080, -75459? -2125*p**2 - 4*p + 1065 What is the g'th term of -1351602, -2703201, -4054800, -5406399, -6757998? -1351599*g - 3 What is the s'th term of -2554, -3772, -4990? -1218*s - 1336 What is the x'th term of 32572, 67017, 101462? 34445*x - 1873 What is the j'th term of -2108, -1899, -1538, -1025, -360, 457, 1426? 76*j**2 - 19*j - 2165 What is the c'th term of -1655, -2997, -3593, -3011, -819, 3415, 10123? 72*c**3 - 59*c**2 - 1669*c + 1 What is the j'th term of -188761, -188477, -188001, -187333, -186473? 96*j**2 - 4*j - 188853 What is the w'th term of 160686, 161562, 162438, 163314, 164190, 165066? 876*w + 159810 What is the v'th term of 1437535, 2875089, 4312643, 5750197, 7187751, 8625305? 1437554*v - 19 What is the m'th term of 1261710, 1261701, 1261692, 1261683, 1261674? -9*m + 1261719 What is the f'th term of -316702, -316727, -316776, -316855, -316970, -317127? -f**3 - 6*f**2 - 316695 What is the q'th term of -10322, -20268, -30214, -40160, -50106, -60052? -9946*q - 376 What is the o'th term of 18540, 18185, 17592, 16761, 15692? -119*o**2 + 2*o + 18657 What is the r'th term of -525362, -1050638, -1575890, -2101112, -2626298, -3151442? r**3 + 6*r**2 - 525301*r - 68 What is the f'th term of 153, 936, 2987, 6936, 13413, 23048? 105*f**3 + 4*f**2 + 36*f + 8 What is the l'th term of 9459420, 18918847, 28378274? 9459427*l - 7 What is the c'th term of -59, -48, 13, 148, 381, 736, 1237? 4*c**3 + c**2 - 20*c - 44 What is the m'th term of 242, 787, 1668, 2879, 4414, 6267, 8432, 10903? -m**3 + 174*m**2 + 30*m + 39 What is the p'th term of 909950, 3639709, 8189308, 14558747, 22748026, 32757145, 44586104? 909920*p**2 - p + 31 What is the n'th term of -74581, -297451, -668887, -1188883, -1857433, -2674531, -3640171, -4754347? n**3 - 74289*n**2 - 10*n - 283 What is the y'th term of 13326364, 26652724, 39979084? 13326360*y + 4 What is the y'th term of -26481, -26514, -26547, -26580, -26613? -33*y - 26448 What is the j'th term of -509086, -508993, -508900, -508807? 93*j - 509179 What is the x'th term of -114362, -457450, -1029262, -1829798, -2859058, -4117042? -114362*x**2 - 2*x + 2 What is the k'th term of 248824, 497613, 746384, 995137, 1243872, 1492589? -9*k**2 + 248816*k + 17 What is the n'th term of -720377, -2881627, -6483711, -11526629? -720417*n**2 + n + 39 What is the x'th term of 9460, 9776, 10088, 10396, 10700, 11000? -2*x**2 + 322*x + 9140 What is the g'th term of 347476, 347480, 347490, 347512, 347552? g**3 - 3*g**2 + 6*g + 347472 What is the k'th term of 466517, 466501, 466459, 466379, 466249, 466057, 465791? -2*k**3 - k**2 + k + 466519 What is t
{ "pile_set_name": "DM Mathematics" }
02 and 22? 22 Calculate the greatest common factor of 2049 and 15. 3 Calculate the highest common factor of 1394 and 68. 34 What is the greatest common divisor of 350 and 75? 25 Calculate the greatest common divisor of 40 and 4670. 10 What is the greatest common divisor of 27 and 72? 9 What is the greatest common factor of 9 and 963? 9 What is the highest common divisor of 128 and 336? 16 What is the greatest common factor of 274 and 2? 2 What is the greatest common factor of 330 and 198? 66 What is the highest common divisor of 192 and 36? 12 Calculate the greatest common divisor of 144 and 3744. 144 Calculate the greatest common factor of 15 and 35. 5 Calculate the highest common factor of 9 and 243. 9 What is the greatest common factor of 231 and 11? 11 What is the highest common factor of 30 and 150? 30 What is the greatest common factor of 180 and 210? 30 What is the greatest common factor of 2450 and 294? 98 Calculate the highest common factor of 330 and 935. 55 Calculate the greatest common factor of 928 and 224. 32 Calculate the greatest common factor of 225 and 25. 25 What is the greatest common divisor of 966 and 28? 14 What is the greatest common divisor of 68 and 23307? 17 Calculate the greatest common divisor of 14 and 553. 7 Calculate the greatest common divisor of 2222 and 209. 11 Calculate the highest common divisor of 20 and 8. 4 Calculate the highest common divisor of 12 and 100. 4 Calculate the greatest common divisor of 4 and 128. 4 What is the highest common factor of 6045 and 15? 15 What is the highest common divisor of 2768 and 80? 16 What is the greatest common factor of 52 and 611? 13 What is the greatest common divisor of 8 and 60? 4 What is the greatest common factor of 23542 and 158? 158 Calculate the highest common factor of 45 and 36. 9 Calculate the highest common divisor of 3375 and 250. 125 Calculate the highest common divisor of 107 and 4387. 107 Calculate the greatest common divisor of 117 and 156. 39 What is the highest common divisor of 60 and 345? 15 Calculate the greatest common factor of 36 and 18. 18 Calculate the highest common factor of 320 and 128. 64 Calculate the greatest common divisor of 768 and 56. 8 Calculate the highest common factor of 2478 and 42. 42 Calculate the greatest common divisor of 1577 and 249. 83 Calculate the greatest common divisor of 2754 and 136. 34 What is the greatest common factor of 207 and 117? 9 What is the highest common divisor of 666 and 144? 18 Calculate the greatest common factor of 69 and 1127. 23 Calculate the greatest common divisor of 5 and 20. 5 Calculate the greatest common factor of 166 and 1826. 166 Calculate the highest common factor of 18 and 42. 6 Calculate the highest common factor of 16 and 32. 16 What is the highest common divisor of 12 and 324? 12 Calculate the greatest common factor of 150 and 255. 15 Calculate the highest common divisor of 170 and 1460. 10 What is the highest common factor of 3103 and 58? 29 What is the greatest common factor of 27 and 117? 9 Calculate the greatest common factor of 56715 and 570. 285 What is the highest common factor of 24 and 174? 6 Calculate the greatest common factor of 230 and 1242. 46 Calculate the highest common divisor of 24 and 762. 6 Calculate the greatest common divisor of 2187 and 2349. 81 What is the greatest common factor of 48 and 624? 48 Calculate the greatest common divisor of 18 and 29781. 9 What is the highest common factor of 1200 and 6? 6 Calculate the highest common divisor of 280 and 3620. 20 Calculate the highest common factor of 3 and 123. 3 What is the greatest common divisor of 5089 and 7? 7 Calculate the highest common divisor of 7168 and 14. 14 What is the greatest common factor of 460 and 53590? 230 Calculate the highest common divisor of 33 and 2. 1 Calculate the highest common divisor of 24 and 960. 24 Calculate the highest common divisor of 10 and 980. 10 What is the greatest common factor of 5754 and 105? 21 What is the greatest common factor of 6270 and 5? 5 What is the highest common factor of 1705 and 775? 155 Calculate the greatest common divisor of 2563 and 77. 11 What is the highest common factor of 28 and 525? 7 Calculate the highest common factor of 34 and 1258. 34 Calculate the greatest common factor of 47 and 235. 47 Calculate the highest common divisor of 494 and 78. 26 What is the highest common divisor of 542 and 27913? 271 Calculate the highest common factor of 91 and 52. 13 Calculate the greatest common divisor of 3 and 5. 1 What is the highest common divisor of 66 and 286? 22 Calculate the greatest common divisor of 1449 and 99. 9 What is the greatest common factor of 342 and 423? 9 What is the highest common factor of 156 and 741? 39 What is the highest common factor of 54 and 207? 9 Calculate the highest common divisor of 6 and 26862. 6 Calculate the highest common divisor of 56 and 24. 8 What is the highest common divisor of 16 and 4432? 16 What is the greatest common divisor of 803 and 44? 11 Calculate the greatest common divisor of 95 and 95. 95 Calculate the highest common divisor of 434 and 62. 62 Calculate the greatest common divisor of 325 and 195. 65 Calculate the greatest common factor of 120 and 184. 8 What is the greatest common factor of 1075 and 75? 25 What is the greatest common divisor of 25 and 2575? 25 What is the greatest common divisor of 784 and 4900? 196 Calculate the greatest common factor of 476 and 21. 7 Calculate the highest common divisor of 7960 and 160. 40 What is the greatest common divisor of 65 and 1651? 13 Calculate the greatest common factor of 32 and 180. 4 Calculate the highest common divisor of 339 and 15. 3 What is the greatest common divisor of 57 and 152? 19 What is the greatest common factor of 544 and 64? 32 What is the greatest common divisor of 100 and 5450? 50 Calculate the highest common factor of 24 and 684. 12 What is the greatest common factor of 416 and 13? 13 What is the highest common divisor of 240 and 130? 10 Calculate the greatest common divisor of 3245 and 550. 55 What is the highest common divisor of 1011 and 3? 3 Calculate the greatest common factor of 58 and 1102. 58 What is the greatest common factor of 24 and 904? 8 What is the highest common factor of 494 and 26? 26 Calculate the greatest common factor of 10 and 320. 10 What is the greatest common factor of 2881 and 43? 43 Calculate the greatest common divisor of 284 and 8. 4 What is the greatest common divisor of 574 and 14? 14 Calculate the highest common factor of 60 and 17724. 12 Calculate the highest common divisor of 582 and 9. 3 What is the greatest common divisor of 104 and 156? 52 What is the highest common factor of 4202 and 22? 22 Calculate the greatest common divisor of 240 and 1320. 120 Calculate the greatest common factor of 37497 and 87. 87 What is the greatest common divisor of 180 and 135? 45 What is the highest common divisor of 3330 and 50? 10 Calculate the highest common divisor of 6 and 486. 6 What is the greatest common factor of 174 and 290? 58 Calculate the highest common divisor of 24 and 64. 8 What is the greatest common factor of 9 and 81? 9 Calculate the highest common factor of 272 and 4148. 68 Calculate the highest common divisor of 186 and 62. 62 Calculate the greatest common divisor of 77 and 55. 11 What is the greatest common divisor of 8 and 3134? 2 What is the greatest common factor of 1748 and 46? 46 Calculate the greatest common factor of 99 and 7689. 33 Calculate the greatest common factor of 56 and 196. 28 What is the highest common divisor of 361 and 76? 19 Calculate the highest common divisor of 1164 and 12. 12 What is the greatest common divisor of 2601 and 1989? 153 Calculate the highest common divisor of 270 and 345. 15 What is the greatest common factor of 833 and 391? 17 What is the greatest common factor of 378 and 54? 54 Calculate the highest common divisor of 627 and 165. 33 What is the greatest common factor of 925 and 25? 25 Calculate the highest common factor of 5184 and 1008. 144 What is the greatest common factor of 1482 and 312? 78 Calculate the highest common factor of 392 and 56. 56 What is the highest common factor of 24 and 7356? 12 What is the greatest common factor of 80 and 5328? 16 Calcula
{ "pile_set_name": "DM Mathematics" }
1846 What is the square root of 492272 to the nearest integer? 702 What is the cube root of 715374 to the nearest integer? 89 What is 730803 to the power of 1/10, to the nearest integer? 4 What is the square root of 709158 to the nearest integer? 842 What is 4291325 to the power of 1/5, to the nearest integer? 21 What is the square root of 1726113 to the nearest integer? 1314 What is 10883511 to the power of 1/2, to the nearest integer? 3299 What is 568392 to the power of 1/2, to the nearest integer? 754 What is 26469555 to the power of 1/2, to the nearest integer? 5145 What is the sixth root of 1505497 to the nearest integer? 11 What is 211831 to the power of 1/2, to the nearest integer? 460 What is the eighth root of 843081 to the nearest integer? 6 What is 1869 to the power of 1/2, to the nearest integer? 43 What is the ninth root of 2716766 to the nearest integer? 5 What is 48811 to the power of 1/8, to the nearest integer? 4 What is 19406 to the power of 1/8, to the nearest integer? 3 What is 151252 to the power of 1/8, to the nearest integer? 4 What is 1498500 to the power of 1/9, to the nearest integer? 5 What is the tenth root of 2450203 to the nearest integer? 4 What is 1140439 to the power of 1/6, to the nearest integer? 10 What is the square root of 3411724 to the nearest integer? 1847 What is 3277912 to the power of 1/2, to the nearest integer? 1811 What is 203397 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 4695017 to the nearest integer? 47 What is 377492 to the power of 1/6, to the nearest integer? 9 What is the square root of 4906 to the nearest integer? 70 What is 194480 to the power of 1/8, to the nearest integer? 5 What is the cube root of 759901 to the nearest integer? 91 What is the cube root of 4409711 to the nearest integer? 164 What is 251820 to the power of 1/3, to the nearest integer? 63 What is 28984449 to the power of 1/6, to the nearest integer? 18 What is the square root of 1547573 to the nearest integer? 1244 What is the third root of 9420929 to the nearest integer? 211 What is the fourth root of 12363716 to the nearest integer? 59 What is the seventh root of 278436 to the nearest integer? 6 What is the third root of 4646101 to the nearest integer? 167 What is the sixth root of 1239670 to the nearest integer? 10 What is the ninth root of 120228 to the nearest integer? 4 What is 91135 to the power of 1/2, to the nearest integer? 302 What is 8640 to the power of 1/2, to the nearest integer? 93 What is the cube root of 4050016 to the nearest integer? 159 What is the cube root of 22480535 to the nearest integer? 282 What is the tenth root of 105042 to the nearest integer? 3 What is 9890 to the power of 1/3, to the nearest integer? 21 What is the square root of 133610 to the nearest integer? 366 What is 2631252 to the power of 1/8, to the nearest integer? 6 What is 310090 to the power of 1/3, to the nearest integer? 68 What is 2059292 to the power of 1/2, to the nearest integer? 1435 What is 213859 to the power of 1/6, to the nearest integer? 8 What is the ninth root of 45166 to the nearest integer? 3 What is 52615 to the power of 1/4, to the nearest integer? 15 What is the third root of 1352989 to the nearest integer? 111 What is 27545854 to the power of 1/6, to the nearest integer? 17 What is the sixth root of 12651725 to the nearest integer? 15 What is 1041935 to the power of 1/3, to the nearest integer? 101 What is 131968 to the power of 1/5, to the nearest integer? 11 What is the square root of 429001 to the nearest integer? 655 What is 147870 to the power of 1/3, to the nearest integer? 53 What is 311338 to the power of 1/2, to the nearest integer? 558 What is the fourth root of 112079 to the nearest integer? 18 What is the square root of 42022919 to the nearest integer? 6483 What is 16052790 to the power of 1/7, to the nearest integer? 11 What is 1189329 to the power of 1/7, to the nearest integer? 7 What is the square root of 81124 to the nearest integer? 285 What is 4364989 to the power of 1/2, to the nearest integer? 2089 What is the square root of 289239 to the nearest integer? 538 What is 1732218 to the power of 1/3, to the nearest integer? 120 What is 13179858 to the power of 1/2, to the nearest integer? 3630 What is 590889 to the power of 1/2, to the nearest integer? 769 What is the seventh root of 708984 to the nearest integer? 7 What is 5527771 to the power of 1/3, to the nearest integer? 177 What is 9789316 to the power of 1/6, to the nearest integer? 15 What is 133727 to the power of 1/3, to the nearest integer? 51 What is 22196903 to the power of 1/10, to the nearest integer? 5 What is 7612043 to the power of 1/3, to the nearest integer? 197 What is the cube root of 513054 to the nearest integer? 80 What is 1942216 to the power of 1/10, to the nearest integer? 4 What is 59326 to the power of 1/10, to the nearest integer? 3 What is 275696 to the power of 1/5, to the nearest integer? 12 What is the cube root of 151855 to the nearest integer? 53 What is the tenth root of 10927205 to the nearest integer? 5 What is 77947 to the power of 1/8, to the nearest integer? 4 What is the cube root of 2537302 to the nearest integer? 136 What is 193291 to the power of 1/3, to the nearest integer? 58 What is the third root of 1562560 to the nearest integer? 116 What is 1347942 to the power of 1/2, to the nearest integer? 1161 What is the third root of 13179845 to the nearest integer? 236 What is the third root of 2350362 to the nearest integer? 133 What is the cube root of 156781 to the nearest integer? 54 What is the cube root of 6538016 to the nearest integer? 187 What is 1566112 to the power of 1/5, to the nearest integer? 17 What is 17379184 to the power of 1/9, to the nearest integer? 6 What is the fourth root of 2614601 to the nearest integer? 40 What is the fifth root of 177289 to the nearest integer? 11 What is the fifth root of 9930550 to the nearest integer? 25 What is the third root of 109819 to the nearest integer? 48 What is 174975 to the power of 1/3, to the nearest integer? 56 What is the square root of 365539 to the nearest integer? 605 What is the cube root of 2382579 to the nearest integer? 134 What is 11946768 to the power of 1/5, to the nearest integer? 26 What is the fourth root of 4660101 to the nearest integer? 46 What is 20139459 to the power of 1/5, to the nearest integer? 29 What is the fourth root of 958914 to the nearest integer? 31 What is 87033 to the power of 1/2, to the nearest integer? 295 What is 25465 to the power of 1/3, to the nearest integer? 29 What is 165364 to the power of 1/2, to the nearest integer? 407 What is 5916992 to the power of 1/2, to the nearest integer? 2432 What is the cube root of 194564 to the nearest integer? 58 What is the square root of 1300867 to the nearest integer? 1141 What is the fourth root of 773125 to the nearest integer? 30 What is the sixth root of 330318 to the nearest integer? 8 What is the cube root of 329515 to the nearest integer? 69 What is the third root of 3413018 to the nearest integer? 151 What is the cube root of 292547 to the nearest integer? 66 What is 1383520 to the power of 1/10, to the nearest integer? 4 What is the cube root of 201877 to the nearest integer? 59 What is the fourth root of 604785 to the nearest integer? 28 What is the third root of 6920556 to the nearest integer? 191 What is 4058872 to the power of 1/9, to the nearest integer? 5 What is 704166 to the power of 1/9, to the nearest integer? 4 What is the square root of 179314 to the nearest integer? 423 What is 405419 to the power of 1/2, to the nearest integer? 637 What is 146799 to the power of 1/2, to the nearest integer? 383 What is the third root of 557493 to the nearest integer? 82 What is 241169 to the power of 1/6, to the nearest integer? 8 What is 4582095 to the power of 1/10, to the nearest integer? 5 What is the square root of 15671797 to the nearest integer? 3959 What is the square root of 1702939 to the nearest integer? 1305 What is the tenth root of 123548 to the nearest integer? 3 What is 4393 to the power of 1/2, to the nearest integer? 66 What is 15797 to the power of 1/6, to the nearest integer? 5 What is the cube ro
{ "pile_set_name": "DM Mathematics" }
- -166.227. Let t = h + -166.00615. What is t rounded to three decimal places? -0.006 Let q = -262992.00231693 - -262992. What is q rounded to 4 decimal places? -0.0023 Let x = -45.33 - -43.5. Let l = -1.8525 - x. Round l to three dps. -0.023 Suppose 3*g = -0*q - 4*q - 9849, 0 = -3*g - 2*q - 9849. What is g rounded to the nearest one thousand? -3000 Let o = 48638.54682 + -48638. Round o to one decimal place. 0.5 Let h = -142.16 - -1.16. Let p = 75 + h. Let k = p + 66.65. Round k to 1 decimal place. 0.7 Suppose 0 = 130*c - 1872923978 + 301873978. What is c rounded to the nearest one million? 12000000 Let t = 1149.982002 + 2.616998. Let b = -1152 + t. Round b to 1 dp. 0.6 Let f = -336 + 187. Let j = 149.11 + f. What is j rounded to 1 decimal place? 0.1 Let w = -14425 - -14427.8763. What is w rounded to 1 dp? 2.9 Let u be -3 - (-8 - (-8 - -5)). Let n be 16/4 + (u - 2). Suppose -2408880 - 275120 = -n*d. What is d rounded to the nearest one hundred thousand? 700000 Let x = -353.65 + 355. Let n = 399842.93999705 + -399844.29. Let b = x + n. What is b rounded to 7 dps? -0.000003 Let q = -36983 - -38503.3. Round q to the nearest 10. 1520 Let m = 7.963 + -8. Let n = 97.037 + m. Let g = -97.000053 + n. What is g rounded to 5 dps? -0.00005 Let m = 888.8 + -661. Let t = -321 + m. Round t to the nearest ten. -90 Let x = -1698.685 - -1703. Let o = 8.857 - x. What is o rounded to 1 dp? 4.5 Suppose -4*g - 29099124 = 5*u, 3*g + 3*u + 1122852 + 20701488 = 0. Let v = g - -1492156. Let b = 14282620 + v. Round b to the nearest 1000000. 9000000 Let y = 109.06304 + 451.90792. Let s = y - 561. Round s to two dps. -0.03 Let t = -23.91 - -1.91. Let r = -28.1 + t. What is r rounded to the nearest 10? -50 Let p = -34.009 - -0.009. Let j = 91.8975 - 57.91. Let b = j + p. What is b rounded to 3 dps? -0.013 Let c = -1545211888.999403 + 1545210865. Let h = c + 1024. Round h to five decimal places. 0.0006 Let g be (-6 - -4)*625*392760. What is g rounded to the nearest one million? -491000000 Let i = 27 - 23. Suppose -i*h = 3*z - 52671, 0 = 4*h - 4*z - 8281 - 44411. Suppose -v + 4*v - h = 0. What is v rounded to the nearest 1000? 4000 Let z = 5286 + -2692. Let w = -2593.99998159 + z. Round w to six dps. 0.000018 Let q = -793 + 465. Let p = q + 327.56. Round p to one dp. -0.4 Let x(n) = -2764*n + 869. Let w be x(-13). What is w rounded to the nearest 1000? 37000 Let o = -1987 - -1987.2982. Round o to 3 dps. 0.298 Let p = 0.0075 - -0.59671. What is p rounded to one dp? 0.6 Suppose 824*z - 190956 = 827*z. What is z rounded to the nearest 100? -63700 Let b = -3.0822 + 1.7007. Round b to one dp. -1.4 Let p(v) = -7*v + 173. Let f be p(25). Let a be (-4 - -33 - f)*(4 + 11296). Round a to the nearest ten thousand. 350000 Let u = -25875 - -25872.1333. Round u to two decimal places. -2.87 Let c = 22.79 - 38.71. Round c to the nearest 10. -20 Let k = 1533.28096524 - 0.18386524. Let y = k + -1533. What is y rounded to 2 decimal places? 0.1 Let w = -53673 - -53778.908. Let j = w + -0.208. Round j to the nearest 10. 110 Suppose 7*v = 5*v + 16. Suppose -4*k - 20 = -v*k. Suppose k*s = -5*s + 33800000. Round s to the nearest one hundred thousand. 3400000 Let k = -0.66274 + -0.02956. Let s = 0.737 + k. What is s rounded to two decimal places? 0.04 Let q = -275.2 - 2226.7. What is q rounded to the nearest 10? -2500 Suppose j - 4*j - y + 19 = 0, -4*j + 24 = 2*y. Let z = -1237 - -1837. Let p be (-1060)/((4 - j)/z). What is p rounded to the nearest ten thousand? 210000 Let c = -9.92 - -9.4529. What is c rounded to one decimal place? -0.5 Let c = 20566 + -17960.2. Round c to the nearest 10. 2610 Let r = -30.4991742 + 30.499. What is r rounded to six dps? -0.000174 Let a = -22 + 20. Let y be (1 - a) + 9/(-3) + 2. Suppose 5*h = 2*r - 35195, 2*r - 3578 = -y*h + 31624. What is r rounded to the nearest one thousand? 18000 Let n = 0.05912 - 0.0591213897. Round n to 7 decimal places. -0.0000014 Let b = 0.09016 - -872.10984. Let a = b + -778. Round a to the nearest integer. 94 Let x = -2970.3986551 + 2970.4. What is x rounded to five dps? 0.00134 Let l = 0.8200796 + 0.8950301. Let q = -1.715 + l. Round q to 6 decimal places. 0.00011 Let i = -75.9333 + 76.4. What is i rounded to 2 decimal places? 0.47 Let w = 684 + -1062. Let r = 298.4747694 - -79.5252677. Let z = w + r. What is z rounded to six decimal places? 0.000037 Let q = 4484.2104 + -4578.67. Let y = q - -0.1596. What is y rounded to the nearest ten? -90 Let k = 2313.725 - 2301. Round k to 0 decimal places. 13 Let r = 835497293 - 580811812. Suppose -863685481 = -14*d - r. Round d to the nearest 1000000. 44000000 Let n = 14739 - 20741. Round n to the nearest one hundred. -6000 Let d = -0.204 - 9.096. Let b = -8.28 - d. Let g = b - 1.0200082. Round g to six dps. -0.000008 Let f = -16221.081 + 16213. Let z = f - -0.951. What is z rounded to 0 decimal places? -7 Let d = 1136.9011746 + -1136.9. What is d rounded to four dps? 0.0012 Let l = 14958.6 + -14959.21531. What is l rounded to 1 dp? -0.6 Let u = -24.247204 - -23.90320782. Let a = 0.344 + u. What is a rounded to six decimal places? 0.000004 Suppose -99 = -642*n + 633*n. Let p(h) = 4666*h**3 - 10*h**2 + 69*h + 5. Let g be p(n). What is g rounded to the nearest 1000000? 6000000 Let x = -404.3 - -74.3. Let g = 314.3 + x. Let k = 15.70000223 + g. Round k to 7 dps. 0.0000022 Suppose -79 + 1 = 6*h. Let l = -120 - -75. Let n = l + h. Round n to the nearest 10. -60 Suppose -102*u - 16*u = -21*u - 269175. Round u to the nearest ten. 2780 Let r = -13896460 + 3268260. What is r rounded to the nearest 1000000? -11000000 Let l be (-711780)/(-90) + (-8)/(-6). Round l to the nearest one thousand. 8000 Let w = 4.734 + -4.737735. Round w to 4 dps. -0.0037 Let n = 1211.01 + -1212.07497. Let a = -1.074 - n. What is a rounded to four decimal places? -0.009 Let c = 285.46 - -21.74. Let m = c - -39.8. Let d = 346.9849 - m. What is d rounded to 3 dps? -0.015 Let o = 6.37 + -285.37. Let x = 278.99998459 + o. Round x to six decimal places. -0.000015 Let c = 1051.179 - -1.821. Let o = c + -665. Let h = 388.00213 - o. Round h to 4 dps. 0.0021 Let m = 76480.89967 - 76474. Let g = m - 6.9. What is g rounded to 4 dps? -0.0003 Let n = -62 + 62.65. Let y = -8.35 - n. Let a = y + 8.9999624. What is a rounded to six dps? -0.000038 Let s = -1964342261.29 + 1964342906.289998392. Let i = s + -645. What is i rounded to seven decimal places? -0.0000016 Let w(a) = a**2 - 13*a + 35. Let s be w(10). Suppose -5*c = 2*q - 13442, -8*c = -s*c + 2*q - 8062. Round c to the nearest one thousand. 3000 Let g = -47369 + 47372.5027. Round g to 1 dp. 3.5 Let r = -7560244 - -1526009. Let i = r - -6034108.99814. Let o = i + 126. What is o rounded to four dps? -0.0019 Let b = -142940.000122974 - -142940. What is b rounded to 5 dps? -0.00012 Let i = -6458.52 + -3451112.48. Let k = -3457600.000205 - i. Let d = -29 - k. What is d rounded to five decimal places? 0.00021 Let y = 50647.9999745214 - 50648. What is y rounded to 7 decimal places? -0.0000255 Let i = 0.1191 + -0.119105936. What is i rounded to six decimal places? -0.000006 Let p = -393584 + 2307722. Suppose -p = -3*w - 198138. What is w rounded to the nearest ten thousand? 570000 Let p = -37 - -9.25. Let u = -28 - p. Let n = u - -0.417. Round n to two dps. 0.17 Let u = 5163.999974252 - 5164. Round u to six decimal places. -0.000026 Let z = -10.429 - -24.751. Round z to one decimal place. 14.3 Let b = -819 + 860.4. Let m = -39.965 + b. Round m to two dps. 1.44 Let v(h) be the second derivative of -225000*h**3 + h. Suppose 100 = -4*a - 28*z + 24*z, 3*a - 3*z + 57 = 0. Let b be v(a). Round b to the nearest one million. 30000000 Let f = 3884.36 - 4135. Round f to the nearest 100. -300 Let g = -37662 + 53048. Let j = g - 15127.64. Let z = j - 254. Round z to the nearest integer. 4 Let d = -3214.06852 - -3214. Let z = d + 0.07. Round z to 4 decimal places. 0.0015 Let p = 123 + -62. Let d = p - 64.3. Let o = -4.5 - d. Round o to the nearest integer. -1 Let m = 3.3187 - 0.3602. Let b = m - 2.95350068. Let q = b + -0.005. Round q to seven decimal places. -0.0000007 Let l = -6 + -24. Let r = 40 + l. Let a = r - 10.31. Round a to 1 decimal place. -0.3 Let l be (-13 + 9)*(-2)/4. Suppose -5*t + 9 = l*s - 5,
{ "pile_set_name": "DM Mathematics" }
96, -795? y - 800 What is the a'th term of -3574, -3576, -3580, -3586, -3594, -3604? -a**2 + a - 3574 What is the q'th term of 49, 87, 103, 85, 21, -101? -2*q**3 + q**2 + 49*q + 1 What is the u'th term of -46, -47, -48, -49, -50? -u - 45 What is the r'th term of -107, -195, -281, -365, -447, -527, -605? r**2 - 91*r - 17 What is the o'th term of 1709, 3422, 5137, 6854? o**2 + 1710*o - 2 What is the a'th term of 925, 920, 915, 910, 905, 900? -5*a + 930 What is the t'th term of 1129, 2260, 3391, 4522, 5653, 6784? 1131*t - 2 What is the z'th term of 21, 38, 21, -48, -187, -414, -747? -3*z**3 + z**2 + 35*z - 12 What is the a'th term of -131, -261, -395, -533, -675, -821? -2*a**2 - 124*a - 5 What is the i'th term of -40, -61, -80, -97? i**2 - 24*i - 17 What is the p'th term of -2112, -2120, -2140, -2178, -2240, -2332, -2460, -2630? -p**3 - p - 2110 What is the l'th term of 34, 24, 10, -8, -30? -2*l**2 - 4*l + 40 What is the z'th term of -30, -134, -310, -558, -878, -1270, -1734? -36*z**2 + 4*z + 2 What is the m'th term of 85, 170, 253, 334, 413, 490, 565? -m**2 + 88*m - 2 What is the x'th term of -67, -69, -73, -79, -87? -x**2 + x - 67 What is the m'th term of -55, -102, -135, -148, -135, -90? m**3 + m**2 - 57*m What is the u'th term of 266, 190, 124, 74, 46, 46, 80? u**3 - u**2 - 80*u + 346 What is the v'th term of -59, -299, -699, -1259? -80*v**2 + 21 What is the g'th term of 264, 1052, 2364, 4200, 6560? 262*g**2 + 2*g What is the k'th term of 842, 844, 848, 854, 862, 872, 884? k**2 - k + 842 What is the o'th term of -12, -38, -64, -90, -116? -26*o + 14 What is the x'th term of 31, 63, 95, 127? 32*x - 1 What is the i'th term of 23, -10, -65, -142, -241, -362, -505? -11*i**2 + 34 What is the q'th term of -169, -340, -511, -682, -853, -1024? -171*q + 2 What is the r'th term of 63, 134, 205, 276, 347? 71*r - 8 What is the r'th term of 18, 57, 144, 303, 558, 933, 1452? 4*r**3 + 11*r + 3 What is the t'th term of 42, 50, 58, 66, 74, 82? 8*t + 34 What is the u'th term of 45, 38, 29, 18? -u**2 - 4*u + 50 What is the m'th term of -17, -152, -371, -668, -1037, -1472, -1967? m**3 - 48*m**2 + 2*m + 28 What is the c'th term of -240, -486, -738, -996, -1260? -3*c**2 - 237*c What is the y'th term of -18, -33, -48? -15*y - 3 What is the g'th term of -221, -405, -565, -689, -765? 2*g**3 - 198*g - 25 What is the j'th term of -28515, -28513, -28509, -28503, -28495, -28485? j**2 - j - 28515 What is the t'th term of -9, 4, 39, 108, 223, 396, 639, 964? 2*t**3 - t**2 + 2*t - 12 What is the y'th term of 821, 891, 975, 1079, 1209, 1371, 1571? y**3 + y**2 + 60*y + 759 What is the a'th term of -43, -71, -119, -187? -10*a**2 + 2*a - 35 What is the t'th term of 12, 134, 468, 1122, 2204, 3822, 6084? 18*t**3 - 2*t**2 + 2*t - 6 What is the b'th term of 543, 1090, 1637? 547*b - 4 What is the o'th term of 138, 140, 134, 114, 74, 8, -90? -o**3 + 2*o**2 + 3*o + 134 What is the y'th term of -3216, -3217, -3218, -3219, -3220, -3221? -y - 3215 What is the f'th term of -332, -321, -294, -245, -168? f**3 + 2*f**2 - 2*f - 333 What is the q'th term of 80, 44, 20, 14, 32? q**3 - 43*q + 122 What is the u'th term of -6, 18, 50, 84, 114, 134, 138, 120? -u**3 + 10*u**2 + u - 16 What is the y'th term of 99, 106, 103, 84, 43, -26, -129, -272? -y**3 + y**2 + 11*y + 88 What is the d'th term of -452, -454, -456, -458? -2*d - 450 What is the l'th term of 204, 410, 616, 822, 1028? 206*l - 2 What is the s'th term of -2360, -2365, -2374, -2387? -2*s**2 + s - 2359 What is the j'th term of 95, 119, 159, 215, 287, 375? 8*j**2 + 87 What is the i'th term of -811, -823, -835? -12*i - 799 What is the x'th term of 304, 303, 302, 301, 300, 299? -x + 305 What is the c'th term of 1, -6, -19, -38, -63? -3*c**2 + 2*c + 2 What is the z'th term of -22, -20, -16, -10? z**2 - z - 22 What is the m'th term of 37, 40, 41, 40? -m**2 + 6*m + 32 What is the o'th term of 1941, 3886, 5833, 7782, 9733? o**2 + 1942*o - 2 What is the u'th term of -554, -1106, -1658, -2210, -2762? -552*u - 2 What is the s'th term of 161, 637, 1427, 2531, 3949, 5681? 157*s**2 + 5*s - 1 What is the c'th term of 31, 106, 219, 370? 19*c**2 + 18*c - 6 What is the i'th term of 48, 100, 152? 52*i - 4 What is the b'th term of -75, -130, -181, -228, -271, -310, -345? 2*b**2 - 61*b - 16 What is the s'th term of 25, 33, 43, 55, 69? s**2 + 5*s + 19 What is the i'th term of 579, 1152, 1719, 2280, 2835, 3384? -3*i**2 + 582*i What is the b'th term of -30, -67, -112, -165? -4*b**2 - 25*b - 1 What is the o'th term of 299, 298, 297, 296, 295, 294? -o + 300 What is the z'th term of -4, -100, -366, -886, -1744, -3024, -4810, -7186? -14*z**3 - z**2 + 5*z + 6 What is the m'th term of 140, 278, 414, 554, 704, 870, 1058? m**3 - 7*m**2 + 152*m - 6 What is the x'th term of 197, 391, 579, 761, 937? -3*x**2 + 203*x - 3 What is the n'th term of 355, 708, 1061, 1414? 353*n + 2 What is the m'th term of 16, 14, 10, 4? -m**2 + m + 16 What is the t'th term of 7774, 7776, 7780, 7786, 7794, 7804? t**2 - t + 7774 What is the d'th term of -186, -208, -230, -252, -274, -296? -22*d - 164 What is the q'th term of -8, -5, -2, 1, 4? 3*q - 11 What is the s'th term of 93, 202, 325, 468, 637, 838, 1077, 1360? s**3 + s**2 + 99*s - 8 What is the i'th term of -187, -193, -197, -193, -175? i**3 - 5*i**2 + 2*i - 185 What is the y'th term of -806, -809, -812, -815? -3*y - 803 What is the i'th term of 1863, 3721, 5579, 7437? 1858*i + 5 What is the q'th term of -2647, -10609, -23887, -42487, -66415, -95677, -130279, -170227? -q**3 - 2652*q**2 + q + 5 What is the d'th term of -961, -958, -955, -952, -949? 3*d - 964 What is the c'th term of -419, -430, -441, -452? -11*c - 408 What is the u'th term of 13, 20, 49, 112, 221, 388, 625, 944? 2*u**3 - u**2 - 4*u + 16 What is the c'th term of 385, 388, 393, 400? c**2 + 384 What is the j'th term of -58, -60, -90, -160, -282, -468? -2*j**3 - 2*j**2 + 18*j - 72 What is the z'th term of 23, 21, 9, -19, -69? -z**3 + z**2 + 2*z + 21 What is the o'th term of -8, -13, -20, -29? -o**2 - 2*o - 5 What is the m'th term of -6, -3, -14, -45, -102? -m**3 - m**2 + 13*m - 17 What is the r'th term of 295, 298, 303, 310, 319, 330? r**2 + 294 What is the c'th term of 19, 34, 55, 88, 139, 214? c**3 - 3*c**2 + 17*c + 4 What is the b'th term of 19, 23, 27, 31? 4*b + 15 What is the g'th term of -17, -37, -57, -77, -97, -117? -20*g + 3 What is the l'th term of -20, -32, -56, -92, -140? -6*l**2 + 6*l - 20 What is the y'th term of -1064, -1060, -1056, -1052, -1048? 4*y - 1068 What is the x'th term of -377, -714, -1061, -1424, -1809, -2222, -2669, -3156? -x**3 + x**2 - 333*x - 44 What is the x'th term of 1875, 1876, 1877? x + 1874 What is the c'th term of 14177, 14179, 14181, 14183, 14185, 14187? 2*c + 14175 What is the k'th term of 395, 394, 393, 392, 391? -k + 396 What is the z'th term of -10811, -10806, -10803, -10802? -z**2 + 8*z - 10818 What is the o'th term of 15702, 15703, 15704? o + 15701 What is the o'th term of 96, 188, 280? 92*o + 4 What is the h'th term of -93, -434, -1003, -1800, -2825? -114*h**2 + h + 20 What is the x'th term of 202, 201, 210, 235, 282, 357? x**3 - x**2 - 5*x + 207 What is the t'th term of -9, -23, -39, -57, -77? -t**2 - 11*t + 3 What is the r'th term of 4419, 4420, 4421, 4422, 4423? r + 4418 What is the g'th term of 42, 39, 20, -21, -90, -193, -336, -525? -g**3 - 2*g**2 + 10*g + 35 What is the l'th term of -35, -205, -621, -1391, -2623, -4425? -18*l**3 - 15*l**2 + l - 3 What is the q'th term of 523, 503, 449, 343, 167, -97, -467? -3*q**3 + q**2 - 2*q + 527 What is the f'th term of 540, 548, 556, 564, 572, 580? 8*f + 532 What is the y'th term of -37, -49, -73, -109, -157, -217, -289? -6*y**2 + 6*y - 37 What is the z'th term of 24, 49, 72, 93, 112, 129, 144? -z**2 + 28*z - 3 What is the p'th term of -44, -281, -926, -2183, -4256, -7349, -11666, -17411? -34*p**3 + p - 11 What is the o'th term of 17, 37, 73, 131, 217, 337, 497? o**3 + 2*o**2 + 7*o + 7 What is the m'th term of -15, -6, 7, 24, 45? 2*m**2 + 3*m - 20 What is the o'th term of 268, 289, 310, 331? 21*o + 247 What is the d'th term of 72, 188, 332, 498, 680, 872, 1068? -d**3 + 20*d**2 + 63*d - 10 What is the p'th term of -125, -505, -1139, -2027, -3169? -127*p**2 + p + 1 What is the s'th term of 2
{ "pile_set_name": "DM Mathematics" }
n four letters picked without replacement from {z: 1, w: 4, o: 5, p: 3}. 3/286 What is prob of sequence zn when two letters picked without replacement from {z: 2, n: 4}? 4/15 What is prob of sequence degg when four letters picked without replacement from ggggdgggggdgeee? 3/182 Two letters picked without replacement from {r: 1, b: 1, e: 2}. Give prob of sequence eb. 1/6 Four letters picked without replacement from {e: 2, h: 1, g: 1, y: 4}. What is prob of sequence yeyy? 1/35 What is prob of sequence lpa when three letters picked without replacement from whhaajhawlplaawpwww? 10/2907 Two letters picked without replacement from gssgvsmzzmsvzsszm. What is prob of sequence zz? 3/68 Three letters picked without replacement from zzzzfzpfzpzfzzzzzzzz. Give prob of sequence pfz. 1/76 Two letters picked without replacement from {u: 2, p: 1, k: 2, b: 1, w: 1}. What is prob of sequence wp? 1/42 Two letters picked without replacement from {w: 2, x: 4, a: 6, d: 1, u: 4, s: 1}. What is prob of sequence ww? 1/153 Calculate prob of sequence zgby when four letters picked without replacement from cygxczybgxcc. 1/2970 Four letters picked without replacement from fffpypfpfwwrwfyr. Give prob of sequence fyrf. 1/364 Three letters picked without replacement from mbabrqbwwwmb. What is prob of sequence amw? 1/220 Two letters picked without replacement from {f: 1, j: 1, r: 1, e: 1, o: 1}. What is prob of sequence je? 1/20 What is prob of sequence jvr when three letters picked without replacement from rjzsvozrjrj? 1/110 What is prob of sequence rs when two letters picked without replacement from szwaracwrrarwrs? 1/21 Three letters picked without replacement from {m: 2, s: 2, l: 2, w: 2, c: 3, a: 8}. Give prob of sequence wal. 16/2907 Calculate prob of sequence iii when three letters picked without replacement from iibiiiiiiiiiiiiiiii. 16/19 Three letters picked without replacement from eijejqe. What is prob of sequence qej? 1/35 Two letters picked without replacement from {c: 2, a: 1, x: 1, t: 1, k: 1, n: 1}. Give prob of sequence xn. 1/42 Two letters picked without replacement from {v: 5, p: 3, r: 6, i: 3}. Give prob of sequence vp. 15/272 What is prob of sequence uur when three letters picked without replacement from yyuuyuyuyruyzuuu? 1/60 What is prob of sequence vi when two letters picked without replacement from vivv? 1/4 Calculate prob of sequence ai when two letters picked without replacement from {a: 4, i: 2, o: 3, x: 6}. 4/105 Two letters picked without replacement from {q: 1, h: 2, s: 3, f: 10, v: 1}. Give prob of sequence hh. 1/136 Calculate prob of sequence fkf when three letters picked without replacement from fkfisiffiffk. 1/22 Calculate prob of sequence ql when two letters picked without replacement from {v: 2, g: 1, r: 4, l: 2, q: 3}. 1/22 What is prob of sequence zjjc when four letters picked without replacement from {j: 4, c: 8, z: 5}? 1/119 Three letters picked without replacement from nxnvvvxnnvvvv. What is prob of sequence xvn? 14/429 What is prob of sequence fsf when three letters picked without replacement from tsttsttttfffsafnstt? 8/969 Calculate prob of sequence clg when three letters picked without replacement from {l: 6, c: 4, g: 7}. 7/170 Calculate prob of sequence ttq when three letters picked without replacement from {t: 3, q: 2}. 1/5 What is prob of sequence dqz when three letters picked without replacement from zzzwzwqwqd? 1/90 Calculate prob of sequence er when two letters picked without replacement from reeerrrr. 15/56 Four letters picked without replacement from {p: 3, u: 11}. What is prob of sequence uuuu? 30/91 What is prob of sequence hr when two letters picked without replacement from {h: 2, r: 11}? 11/78 Calculate prob of sequence ay when two letters picked without replacement from yquauyb. 1/21 Three letters picked without replacement from {v: 9, l: 9}. What is prob of sequence llv? 9/68 Two letters picked without replacement from {i: 3, c: 1, v: 6, m: 1, x: 4}. Give prob of sequence ic. 1/70 Calculate prob of sequence yyl when three letters picked without replacement from {o: 2, l: 4, y: 6}. 1/11 Four letters picked without replacement from {f: 5, p: 6, q: 3, b: 1, e: 5}. What is prob of sequence epqe? 1/323 Two letters picked without replacement from ayhedeaedadaadedda. Give prob of sequence ey. 2/153 Calculate prob of sequence oow when three letters picked without replacement from oowwwowoowwwwoow. 9/80 Two letters picked without replacement from nuzgqzwzuuggzzu. What is prob of sequence wn? 1/210 Two letters picked without replacement from hrssrant. Give prob of sequence tr. 1/28 What is prob of sequence trw when three letters picked without replacement from {t: 2, a: 1, w: 4, r: 3}? 1/30 Calculate prob of sequence wwww when four letters picked without replacement from {w: 4, x: 2}. 1/15 Three letters picked without replacement from rlllrsrxvvxrs. Give prob of sequence rvx. 4/429 Calculate prob of sequence yylk when four letters picked without replacement from {w: 1, l: 1, v: 3, y: 4, k: 2}. 1/330 Three letters picked without replacement from {s: 2, k: 5, r: 1, c: 1, w: 3}. What is prob of sequence rsc? 1/660 Two letters picked without replacement from qrqdqjrujqqrrjrjddqd. What is prob of sequence ur? 1/76 What is prob of sequence cs when two letters picked without replacement from sqqbrcs? 1/21 Calculate prob of sequence nncj when four letters picked without replacement from {c: 3, f: 2, j: 1, n: 9, x: 2}. 9/2380 Calculate prob of sequence qqdd when four letters picked without replacement from {d: 11, q: 5}. 55/1092 Two letters picked without replacement from gsnnmggmngmsnnhg. Give prob of sequence hs. 1/120 Three letters picked without replacement from zqzqqzzzzzqq. Give prob of sequence zqz. 7/44 What is prob of sequence qnn when three letters picked without replacement from {q: 7, n: 7}? 7/52 Calculate prob of sequence pjd when three letters picked without replacement from {v: 4, p: 1, d: 2, j: 8, a: 1, r: 4}. 2/855 Calculate prob of sequence vwo when three letters picked without replacement from {m: 9, w: 3, v: 2, o: 5}. 5/969 Three letters picked without replacement from jjeffjjjvvjjajvjjjje. Give prob of sequence vaf. 1/1140 Two letters picked without replacement from iseisos. What is prob of sequence os? 1/14 Two letters picked without replacement from {j: 7, r: 12}. What is prob of sequence jj? 7/57 Four letters picked without replacement from obgle. What is prob of sequence oblg? 1/120 Calculate prob of sequence mmmd when four letters picked without replacement from {d: 1, m: 18}. 1/19 Calculate prob of sequence dzzy when four letters picked without replacement from zdzggzgyyzzd. 2/297 What is prob of sequence enr when three letters picked without replacement from ncccrenqrqrevr? 2/273 What is prob of sequence ss when two letters picked without replacement from {s: 2, i: 2, c: 9}? 1/78 Four letters picked without replacement from {c: 2, u: 4, t: 2, i: 2, n: 4, r: 5}. What is prob of sequence itnu? 2/2907 Three letters picked without replacement from tiiilliltlti. What is prob of sequence tll? 3/110 Calculate prob of sequence yp when two letters picked without replacement from {y: 13, p: 3, n: 3}. 13/114 Calculate prob of sequence cb when two letters picked without replacement from {f: 2, c: 1, b: 1, q: 1}. 1/20 Four letters picked without replacement from lwflwmlmlmwmmm. Give prob of sequence wlww. 1/1001 Three letters picked without replacement from {u: 3, e: 5, c: 1, l: 6, d: 4, i: 1}. What is prob of sequence eel? 1/57 What is prob of sequence qu when two letters picked without replacement from {q: 4, j: 2, r: 3, s: 4, p: 2, u: 3}? 2/51 What is prob of sequence uuaa when four letters picked without replacement from uuuuuuucauubcaucauau? 22/1615 Two letters picked without replacement from qqle. What is prob of sequence ql? 1/6 Three letters picked without replacement from bjj. What is prob of sequence jbj? 1/3 What is prob of sequence di when two letters picked without replacement from dsieidseitik? 2/33 Four letters picked without replacement from mltnlmhmlmkhmth. Give prob of sequence mktl. 1/1092 Calculate prob of sequence pk when two letters picked without replacement from {k: 2, p: 10}. 5/33 Calculate pro
{ "pile_set_name": "DM Mathematics" }
erentiate -i + 4*i - j*i - 1 with respect to i. -3 Let r(w) = 13*w**5 + 5*w**4 + 20*w - 5. Let t(f) = 7*f**5 + 3*f**4 + 10*f - 3. Let i(p) = 6*r(p) - 10*t(p). Find the second derivative of i(q) wrt q. 160*q**3 Find the second derivative of 11*j**5 - 26*j + 6*j**5 - 3*j**5 + 4*j**5 wrt j. 360*j**3 Let g be 0/(-3 - -4 - -1). Let t(p) be the second derivative of 1/6*p**4 - 2*p + 0*p**3 - 1/10*p**5 + g*p**2 + 0. Find the third derivative of t(l) wrt l. -12 Let p(d) be the third derivative of -5*d**4/24 - 2*d**3 - 4*d**2. Let q(s) = -5*s - 11. Let r(n) = 5*p(n) - 6*q(n). Find the first derivative of r(w) wrt w. 5 Let y(m) = 4*m**3 + 7*m**2 + 7*m + 3. Let u(i) = 2*i**2 + i**3 + 2*i + 4 - 3 + 0 + 0. Let v(b) = 7*u(b) - 2*y(b). What is the derivative of v(s) wrt s? -3*s**2 Let w(y) = -y**2 + y - 1. Let x be w(1). Let r = x + 5. What is the third derivative of -2*k**6 + 3*k**2 - 3*k**2 + r*k**2 + 5*k**6 wrt k? 360*k**3 Suppose -4*v - 13 + 1 = 0. Let g = v + 3. Find the third derivative of g*c**3 + 7*c**5 - 3*c**5 + 0*c**3 + 4*c**2 wrt c. 240*c**2 Let i(p) be the second derivative of -4*p - 1/14*p**7 + 0*p**5 + 0*p**3 + 0*p**2 + 0*p**6 + 0 + 7/12*p**4. Find the third derivative of i(t) wrt t. -180*t**2 Let h(o) be the second derivative of 0*o**2 - 1/10*o**6 + 0 - 5/12*o**4 + o + 0*o**3 + 0*o**5. Find the third derivative of h(p) wrt p. -72*p Let d(a) be the second derivative of a**6/24 + a**5/15 - a**2 - 5*a. Let o(b) be the first derivative of d(b). What is the third derivative of o(k) wrt k? 30 Find the third derivative of 2*r**3 + 3 - 3 - 6*r**2 + 11*r**2 wrt r. 12 Let x(r) = 2*r**2 - 5*r + 3. Let g be x(3). Let c be -1*2/(-4)*g. Find the third derivative of 0*a**3 + 0*a**3 - c*a**3 + 2*a**3 - 3*a**2 wrt a. -6 Let y(o) be the second derivative of -o**8/840 + o**6/120 - o**3/6 - 3*o. Let p(i) be the second derivative of y(i). Find the third derivative of p(s) wrt s. -48*s Let h be 1 - -2 - (3 - 2). Find the third derivative of 8*g**2 - g**5 - g**2 - g**h wrt g. -60*g**2 Let z(k) = -8*k**4 + 8*k**3 - 12*k**2 - 7. Let d(i) = -23*i**4 + 24*i**3 - 35*i**2 - 20. Let v(w) = 6*d(w) - 17*z(w). Find the third derivative of v(u) wrt u. -48*u + 48 Suppose -28 = -3*d + a + 4*a, 5*a = -2*d + 2. Find the second derivative of -d*w**2 - 2*w**2 + 3*w**2 - 6*w - w wrt w. -10 Suppose 0*o - 11 = o - 4*h, 5*o - 13 = 3*h. Suppose -4*p + o = -7. What is the second derivative of 2*m**3 - 2*m**p - m + 2*m**4 wrt m? 24*m**2 Let p be 2 + -3 + (0 - 0). Let x(s) = s. Let b(v) = -v + 6. Let o(y) = p*b(y) + 6*x(y). What is the first derivative of o(h) wrt h? 7 What is the third derivative of -22*k**3 + 197*k**2 - 9*k**3 - 175*k**2 wrt k? -186 What is the derivative of 27*j - 20*j - 1 - 14 wrt j? 7 Differentiate 2 + 13*c - 20*c + 33*c with respect to c. 26 Let y be (12/9 - 1)*24. Find the third derivative of y*t**2 + 2*t**3 - 5 + 10 - 5 wrt t. 12 Let j(y) = -5*y**4 - 4*y + 2. Let u(s) = s - 1. Let v(r) = j(r) + 2*u(r). Find the second derivative of v(d) wrt d. -60*d**2 Let o(z) = z**3 - 7*z**2 - 7*z - 6. Let y be o(8). Find the second derivative of y*p**2 - 6*p - 6*p + 3*p + 5*p**2 wrt p. 14 Let v(h) be the third derivative of h**6/40 - h**4/3 - 8*h**2. Find the second derivative of v(z) wrt z. 18*z Let h(m) = 6*m**4 + 17*m**3 + 5*m**2 + 17. Let k(d) = 2*d**4 + 6*d**3 + 2*d**2 + 6. Let c(r) = 6*h(r) - 17*k(r). What is the third derivative of c(s) wrt s? 48*s Let t(o) be the second derivative of o**8/840 + o**5/30 - o**3/2 + o. Let d(g) be the second derivative of t(g). Find the second derivative of d(c) wrt c. 24*c**2 Let u be 2 + -4 + (4 - -3). Let m(p) be the first derivative of 0*p**4 - 2 + 0*p**2 + 1/3*p**3 - 2/5*p**u + 0*p. What is the third derivative of m(j) wrt j? -48*j Let h(j) = 2. Suppose -6 = -3*b - 0*b. Let y(z) = b + z**2 + 2 + 1. Let o(q) = -7*h(q) + 3*y(q). Find the first derivative of o(x) wrt x. 6*x Let v(i) be the second derivative of -i**2 + 0*i**3 + 0 + 2*i + 1/4*i**4. What is the derivative of v(q) wrt q? 6*q Let x(g) = g**2 - 11*g - 4. Let z be x(10). Let j be (-4)/z + (-48)/(-28). What is the third derivative of 3*y**2 + 3*y**2 - 4*y**j + y**5 wrt y? 60*y**2 Let p be (-1 - -1) + (1 - 8). Let n = -5 - p. Find the second derivative of -2*r**n - 2*r + 2*r + r wrt r. -4 What is the third derivative of 6*u**4 - 10*u**5 + 2*u**4 + 5*u**2 - 8*u**4 wrt u? -600*u**2 Let y be 4/(-6) - 44/(-12). What is the first derivative of v**2 + 2*v**2 + 0 - y wrt v? 6*v Suppose -5*k - 15 = -5*b, -2*k + 6 = 5*b + 2*k. What is the second derivative of -b*p**4 + 2*p**4 + 3*p - p**4 + 3*p**4 wrt p? 24*p**2 Let j(t) = -17*t**4 + 6*t**3 + 6*t**2 + 6*t + 10. Let a(i) = -i**3 - i**2 - i. Let n(y) = 6*a(y) + j(y). Differentiate n(l) wrt l. -68*l**3 Suppose c - 2*c - 5*w = 7, -4*w - 2 = 2*c. Suppose 2*r - 2 = -3*g, -c*r - g + 6 = 2*g. What is the second derivative of 1 + 2*v - 1 + v**r wrt v? 12*v**2 What is the third derivative of -d**2 + 2*d**6 - 8*d**2 + 4*d**2 + 5*d**6 wrt d? 840*d**3 Let g(n) be the second derivative of 4*n**6/15 + 4*n**2 + n. What is the first derivative of g(q) wrt q? 32*q**3 Let t(h) = -4*h**2 - 2*h - 3. Let u(y) = -5*y**2 - 3*y - 3. Let m(z) = 3*t(z) - 2*u(z). Differentiate m(w) wrt w. -4*w Let h(a) be the third derivative of 11*a**9/504 + 23*a**5/60 + 4*a**2. What is the third derivative of h(i) wrt i? 1320*i**3 Let p(m) = 51*m**2 + 21*m - 30. Let n(h) = 5*h**2 + 2*h - 3. Let d(j) = -42*n(j) + 4*p(j). Differentiate d(z) wrt z. -12*z Suppose -12 = -3*q, -2*z + 2*q + 9 + 5 = 0. Let f = z - 7. Find the second derivative of -f*t**2 + 2*t - 5*t**2 + 5*t**2 wrt t. -8 Let d(x) = -x**3 - 7*x**2 + 9*x + 11. Let q be d(-8). What is the second derivative of q*h**5 - 3*h + 20*h**2 - 20*h**2 wrt h? 60*h**3 What is the second derivative of -6*p + 9*p**5 - 12*p**5 + 13*p wrt p? -60*p**3 Suppose 0*u = 4*u - 12. What is the second derivative of t + t + u*t**5 - 3*t**5 + t**5 wrt t? 20*t**3 Let m(l) = -l + 1. Let j(n) = 7*n - 8. Let r(k) = -j(k) - 3*m(k). What is the derivative of r(t) wrt t? -4 Let z(v) be the third derivative of v**6/24 - v**3/2 - 5*v**2. What is the derivative of z(c) wrt c? 15*c**2 Let r(x) = -x**2 + x + 2. Let l be r(0). Suppose -v = -1, l*f + f - 10 = -v. Differentiate 2*j**3 - j**f + 1 + 0 with respect to j. 3*j**2 Suppose -4*n = -77 + 69. Let b(q) be the third derivative of 0*q**5 + 0 + 0*q + 0*q**4 + 1/60*q**6 - 2*q**n - 1/3*q**3. Differentiate b(y) with respect to y. 6*y**2 Let y(i) = i - 3. Let a be y(6). Let n(m) be the first derivative of -3*m**a + 4*m**3 + 4*m**4 - 5*m**4 - 2. What is the third derivative of n(x) wrt x? -24 Let q be 5/(-2) + 1/2. Let r be q/(-1*(1 + 0)). What is the second derivative of -6*j + 2*j**r + 3*j + j**2 wrt j? 6 Let l(k) be the third derivative of k**5/10 - k**4/4 - 12*k**2. What is the second derivative of l(j) wrt j? 12 Let k(c) = 5*c**3 + 2*c**2 + 7*c + 2. Let o(n) = 4*n**3 + 3*n**2 + 7*n + 3. Let v(u) = 3*k(u) - 2*o(u). Find the second derivative of v(x) wrt x. 42*x Let y(i) = -i**3 - 5*i**2 + i + 7. Let h be y(-5). Let v = 4 - h. Differentiate 0*g**3 - 3*g**3 + v*g**3 - 2 wrt g. -3*g**2 Let i(h) = 39*h - 2. Let n be i(3). What is the first derivative of 0*j**4 - 121 + n + 3*j**4 wrt j? 12*j**3 Differentiate 20 - 22*i**3 + 851*i**2 - 851*i**2 with respect to i. -66*i**2 Let p(j) = -4*j**5 + 3*j**2 + 3*j + 3. Let z(k) = 7*k**5 - 7*k**2 - 5*k - 5. Let c(a) = -5*p(a) - 3*z(a). Find the third derivative of c(n) wrt n. -60*n**2 Let c be 0/(-3*2/3). Suppose 0*r + 5*r = c. What is the first derivative of r*m**4 + 2*m**4 - 1 - m**4 wrt m? 4*m**3 Let h(i) be the third derivative of -3*i**2 + 1/35*i**7 + 0*i**3 + 0 + 0*i**4 + 0*i**6 + 0*i + 3/20*i**5. What is the third derivative of h(o) wrt o? 144*o Find the third derivative of 8*c**2 + 0 + 0 + 2*c**4 - 10*c**2 wrt c. 48*c Let x be (-5 + 1 - -3)*0. Find the first derivative of -3*j + 6 + 0*j + x*j wrt j. -3 Let u(p) = 1. Let i(d) = 3*d. Let g(q) = -2*i(q) + 2*u(q). Differentiate g(l) wrt l. -6 Let g(q) be the second derivative of q**5/5 + 7*q**2/2 - 4*q. What is the derivative of g(s) wrt s? 12*s**2 Let p(z) = -z**3 - 7*z**2 - 5*z + 6. Let q be p(-6). Find the third derivative of q*n**2 - 9*n**6 + 5*n**6 + 0*n**2 - 4*n**2 wrt n. -480*n**3 Let f(y) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
**2 - 74*f - 3. Calculate q(i(m)). 8*m**2 - 148*m - 3 Let b(m) = 8*m. Let u(i) = i**3 + 12*i**2 + 2. Let v be u(-12). Let l(y) = -1 + 1 - v*y. Calculate l(b(o)). -16*o Let w(s) be the first derivative of -s**5/40 + 2*s**3/3 + 2. Let l(x) be the third derivative of w(x). Let j(y) = y**2. Determine j(l(u)). 9*u**2 Let z(a) = -2075*a. Let x(o) = 2*o**2. What is z(x(p))? -4150*p**2 Let h(g) = -2*g**2. Let i(t) be the first derivative of 3*t**2 + 6. What is i(h(s))? -12*s**2 Let u(f) = 2*f + 113. Let a(x) = 3*x - 12. Give a(u(k)). 6*k + 327 Let u(t) = 1272*t - 1272*t - 8*t**2. Let w(r) = r**2. Determine u(w(l)). -8*l**4 Let i(k) = -11*k**2. Let w(u) = 2*u**2 + 40*u - 40*u. Calculate w(i(p)). 242*p**4 Let x(n) = -322*n**2. Let o(d) = 16*d**2. Give o(x(s)). 1658944*s**4 Let l(f) = -31*f. Let t(h) = -14*h**2. Calculate l(t(g)). 434*g**2 Let h(l) be the third derivative of -l**4/24 + 9*l**2. Let j(s) = 12*s**2. What is h(j(v))? -12*v**2 Let u(i) = 5*i**2 - 3. Let n(k) = 42*k. Determine u(n(s)). 8820*s**2 - 3 Let b(x) be the first derivative of -x**2/2 + 5. Let y(c) = 4*c. Give y(b(d)). -4*d Let b(m) = -2*m**2. Let j(s) = 332*s**2 + 1. Give j(b(h)). 1328*h**4 + 1 Let d(c) = 2*c**2 + 5*c - 5. Let a(f) = -7*f**2 - 21*f + 21. Let b(w) = 5*a(w) + 21*d(w). Let y = 4 - 2. Let t(v) = -2*v + y*v + 2*v. Determine b(t(i)). 28*i**2 Let u(q) = 2*q. Let p(v) = 8*v + 3. Determine p(u(l)). 16*l + 3 Let r be 2*(2*-1 - (-44)/16). Let a(t) be the first derivative of 2 + 0*t - r*t**2. Let f(o) = -o**2. Calculate f(a(x)). -9*x**2 Let m(n) = 6*n. Let i(b) = -3*b. Let y(d) = 6*d. Let j(t) = 5*i(t) + 3*y(t). What is m(j(l))? 18*l Let z(i) be the second derivative of -i**3/6 - 67*i. Let v(b) = -75*b**2 + 1. Determine z(v(x)). 75*x**2 - 1 Let l(q) = 5*q. Let z(c) = 723*c. Give z(l(a)). 3615*a Let y(f) = 8*f**2. Let k be 0 - ((-4)/4)/(-1). Let q(d) = -d**2 - d - 1. Let m(l) = -2*l**2 - 4*l - 4. Let s(u) = k*m(u) + 4*q(u). Give s(y(t)). -128*t**4 Let l(i) = 3*i + 2*i - 4*i. Let n(w) = -w**2. Let c(y) = 4*y**2 - 2. Let j(u) = c(u) + 3*n(u). Let v(r) = 2*r**2 - 3. Let g(f) = 6*j(f) - 4*v(f). Give l(g(p)). -2*p**2 Let c(p) = 4*p**2. Let g(b) = 542*b. Calculate c(g(z)). 1175056*z**2 Let j(u) = -8*u + 4. Let k(g) = 21*g + 1. Let h(y) = 10*y. Let q(m) = -7*h(m) + 3*k(m). Let i(c) = 3*j(c) - 4*q(c). Let n(o) = 2*o**2. Give n(i(p)). 32*p**2 Let r(c) = c. Let w be (-18 - (-3 - 1)) + -4. Let o(m) = -m - 18. Let f(z) = 2. Let n(i) = w*f(i) - 2*o(i). What is r(n(u))? 2*u Let g(b) = 3*b. Let j(s) = 26*s. Let k(m) = -9*m. Let c(d) = -3*j(d) - 8*k(d). Determine c(g(h)). -18*h Let y(o) = o**2. Let r(w) be the second derivative of 13/6*w**3 + 0*w**2 + 0 + 5*w. Determine r(y(b)). 13*b**2 Let d(c) = 40*c**2. Let t(q) = q**2 - 8. Give d(t(r)). 40*r**4 - 640*r**2 + 2560 Let g(w) = -2*w. Suppose k + d - 1 - 2 = 0, d - 3 = -4*k. Suppose 0 = -k*a + 2*a. Let q(b) = a*b + 5*b - b. Determine g(q(j)). -8*j Let c(n) = 1176*n**2. Let g(r) = -2*r. What is c(g(d))? 4704*d**2 Let s(q) = -12*q**2 + 5*q**2 + 6*q**2 + 1. Let b(a) = 10*a**2 - 12. Let o(m) = b(m) + 12*s(m). Let h(k) = 13*k**2. Calculate o(h(u)). -338*u**4 Let c(y) be the third derivative of -y**4/12 + 5*y**2. Let n(v) = v. Calculate n(c(o)). -2*o Suppose 2*r + 2*r - 4 = -h, 0 = -3*h. Let k(i) = i + 1 + i - r. Let y(l) = 2*l**2. Give y(k(q)). 8*q**2 Let f(s) = 21*s. Let t(j) be the third derivative of -j**5/12 - j**2 + 57. Calculate f(t(u)). -105*u**2 Let v(q) = 6*q. Let n(x) be the third derivative of -x**4/3 + 47*x**2. Determine n(v(c)). -48*c Let z(h) = -2*h**2. Let p = 6 + -12. Let l = p - -8. Let k(f) = 0*f + 3*f - 3*f - l*f. What is z(k(x))? -8*x**2 Let w(v) be the second derivative of -v**3/3 - 11*v. Let h(x) = -7*x. Calculate h(w(g)). 14*g Let n(a) = -2*a**2 - 3*a. Let l(k) = -2*k**2 + 0*k**2 + 3*k**2. What is n(l(r))? -2*r**4 - 3*r**2 Let c(p) = -2*p - 33. Let x(t) = -4*t**2. Give x(c(o)). -16*o**2 - 528*o - 4356 Let n(l) = -24*l. Let h(t) = -5*t. Give n(h(f)). 120*f Let q(o) be the first derivative of 2*o**3/3 + 1. Let u be (2/6)/(2/18). Let d(c) = c**2 - u*c**2 + c**2. What is q(d(j))? 2*j**4 Let h(g) = 822*g**2. Let l(u) = 10*u**2. Calculate l(h(p)). 6756840*p**4 Let z(p) = -6*p + 4*p + 3*p. Let x(h) be the second derivative of -h**5/60 - h**2 - 2*h. Let n(s) be the first derivative of x(s). Give n(z(w)). -w**2 Let t(o) = 4*o**2. Let i(a) = -a**2 - 2*a. Let z(h) = -5*h**2 - 9*h. Let m(d) = 9*i(d) - 2*z(d). What is t(m(j))? 4*j**4 Let k(f) = 6*f - 1. Let m be k(1). Let t(w) be the first derivative of 1 - m*w + 5*w + w**2. Let z(p) = p**2. What is t(z(l))? 2*l**2 Let h(m) = -634*m. Let j(n) = -12*n. What is h(j(i))? 7608*i Let i(k) = -3*k**2. Let w(o) = 114*o**2. Give w(i(t)). 1026*t**4 Let c(b) = -18*b - 13. Let o(t) = 5*t**2. Determine c(o(w)). -90*w**2 - 13 Let t(v) = 8*v**2. Let y(b) = -b**2 + b**2 + b**2 + 0*b**2. Determine y(t(x)). 64*x**4 Let h(c) = -c. Suppose 0 = j - 2 - 0. Let o(t) = t**2 - 2. Let l(k) = -1. Let b(p) = j*l(p) - o(p). Determine h(b(z)). z**2 Let j(z) = -2*z. Let w(d) = -6*d**2 - 2*d**2 - 3*d**2 + 8*d**2. Calculate j(w(v)). 6*v**2 Let y(v) = 5*v**2. Let l(s) be the second derivative of -s**4/6 - 11*s. Calculate l(y(x)). -50*x**4 Let d(o) = 2*o. Let m(u) = -983*u. Give m(d(t)). -1966*t Let w(a) = -a. Suppose -3*h + 2 = -5*m + 6, 5*m - 4*h - 2 = 0. Let z(s) = m*s - s + 4*s**2 - s. What is w(z(c))? -4*c**2 Let k(x) = -54*x**2. Let v(b) = -6*b + 15*b - 10*b. Give k(v(d)). -54*d**2 Let f(q) = q. Let s(j) = j**3 - 5*j**2 - 4*j - 6. Let p be s(6). Let c(w) = -2 + 0 + 2 - p*w. Calculate c(f(v)). -6*v Let a(q) = -3*q**2. Let v = -7 - -9. Let c(y) = v*y + 0*y - 5*y - y. Calculate c(a(k)). 12*k**2 Let i(c) = -c**2. Let v(x) be the third derivative of x**4/24 - 12*x**2. What is i(v(d))? -d**2 Let c(x) = -3*x**2. Let q be ((-12)/(-3) - (0 + 7)) + 4. Let d(t) be the first derivative of 0*t - q + 0*t**2 - 1/3*t**3. Give c(d(b)). -3*b**4 Let k(n) = -3*n**2 + 2*n**2 + 3*n**2 - n**2. Let q = -2 - -5. Let v(p) = q*p - 3*p - 2*p. Calculate v(k(r)). -2*r**2 Let s(x) = 6*x**2. Let v(u) = -5*u**2 - 3*u - 3. Let d(q) = -40*q**2 - 25*q - 25. Let o(y) = 3*d(y) - 25*v(y). Determine s(o(a)). 150*a**4 Suppose 1 + 9 = -5*k. Let y(p) = -1. Let i(j) = 3*j**2 + 2. Let r(l) = k*y(l) - i(l). Let b(c) = 0 + 2*c + 0. What is b(r(w))? -6*w**2 Let g(b) = 649*b - 2. Let i(l) = -2*l**2. What is g(i(d))? -1298*d**2 - 2 Let b(s) = 10*s. Let p(l) = l**2 + l + 1. Let c(v) = -8*v**2 - 6*v - 6. Let d = 6 + -7. Let r(q) = d*c(q) - 6*p(q). Give b(r(k)). 20*k**2 Let b(x) = -x. Let s = 10 - 8. Let f(t) = -3*t**s + 2*t**2 + 8*t**2. Give b(f(o)). -7*o**2 Let y(v) = 9*v**2 + 5*v**2 - 12*v**2. Let b(q) = 7*q**2. Calculate b(y(u)). 28*u**4 Let i(m) = -2*m**2 - 1524. Let h(s) = -s**2. Determine h(i(z)). -4*z**4 - 6096*z**2 - 2322576 Let n(i) = -20*i**2 + 9*i**2 + 4*i**2 + 4*i**2. Let c(f) = 11*f. What is c(n(r))? -33*r**2 Suppose -4*t - 5*a = -31, 5*t - 2*a - 6 = 8. Let p(y) = 4*y - 3*y - t*y + y. Let d(j) = 3*j. Give d(p(x)). -6*x Let b(q) = 33*q**2 - 64*q**2 + 36*q**2. Let n(v) = 3*v. What is b(n(o))? 45*o**2 Let t be 32/(-24)*(-3)/2. Let m(n) = 0*n + t - 2 - 2*n. Let o(b) be the second derivative of b**4/6 + b. Calculate m(o(f)). -4*f**2 Let y(g) = g**2 + g + 1. Let s(c) = 2*c**2 + 5*c + 5. Let x(o) = s(o) - 5*y(o). Let m(v) = v. Give x(m(d)). -3*d**2 Let j(u) = u. Let b(l) = 3*l**2 + 332. What is b(j(x))? 3*x**2 + 332 Let r(b) = -2531*b. Let w(c) = 4*c. Calculate w(r(f)). -10124*f Let g(s) = 2*s**2. Let p(d) = -7*d**2 + 0*d**2 + 0*d**2. Give g(p(u)). 98*u**4 Suppose -4*k + 4*z = 32, -2*z - 9 = -5*z. Let h(q) = 7*q. Let p(o) = 11*o. Let n(f) = k*p(f) + 8*h(f). Let u(d) = 277 + 3*d**2 - 277. Calculate u(n(w)). 3*w**2 Let a(m) be the first derivative of m**3/6 - 4*m - 4. Let k(y) be the first derivative of a(y). Let d(j) = 0*j**2 + 3*j**2 - 2*j**2. What is d(k(i))? i**2 Let o(z) = -2*z. Let y(u) = 6*u. Calculate o(y(k)). -12*k Let c(k) = -18*k - 3. Let u(a) = 28*a**2. Determine c(u(d)). -504*d**2 - 3 Let t(g) = 3*g. Let n(b) be the first derivative of 7*b**3/3 + 12. Determine n(t(o)). 63*o**2 Let u(z) = -z. Let b(k) = k**2 + k**2 - 1038 + 1038. Determine u(b(r)). -2*r**2 Let y(z) = 3*z**2 - 4*z + 4. Suppose 0 - 6 = -2*p. Let b = 0 + p. Let m(f) = -3*f**2 + 3*f - 3. L
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from hvhvvhttohhhhhhvohot. What is prob of sequence hv? 2/19 Four letters picked without replacement from {a: 4, l: 1, j: 3, v: 2, y: 1, x: 1}. What is prob of sequence xjla? 1/990 Three letters picked without replacement from uyuufgvguuvvyga. What is prob of sequence uay? 1/273 Calculate prob of sequence hhje when four letters picked without replacement from {j: 3, h: 4, x: 1, m: 2, e: 1}. 1/220 What is prob of sequence dd when two letters picked without replacement from ddxxxddgdxjxdjdzo? 21/136 Two letters picked without replacement from {l: 4, j: 1, a: 1, q: 2, f: 1, s: 3}. What is prob of sequence qa? 1/66 Calculate prob of sequence lu when two letters picked without replacement from {l: 2, u: 5}. 5/21 Four letters picked without replacement from pmprvbbprbpbbrprrmv. What is prob of sequence ppmr? 25/11628 Three letters picked without replacement from brrnn. What is prob of sequence nrb? 1/15 Three letters picked without replacement from {i: 2, l: 3, c: 5}. What is prob of sequence icl? 1/24 Two letters picked without replacement from {k: 4, j: 1, z: 2, i: 9}. Give prob of sequence ik. 3/20 Calculate prob of sequence dln when three letters picked without replacement from {o: 1, d: 1, n: 2, l: 4, i: 1}. 1/63 Two letters picked without replacement from xxxdtddxgx. Give prob of sequence tx. 1/18 What is prob of sequence jlj when three letters picked without replacement from lllppllppllljpjl? 3/560 What is prob of sequence xa when two letters picked without replacement from {r: 2, a: 4, b: 1, w: 4, x: 1, d: 2}? 2/91 Four letters picked without replacement from {z: 2, a: 2, g: 4, i: 2, s: 4}. Give prob of sequence igzs. 8/3003 Calculate prob of sequence nqwn when four letters picked without replacement from nnwwwqwn. 1/70 Four letters picked without replacement from {k: 10, d: 10}. What is prob of sequence kkkk? 14/323 Two letters picked without replacement from {g: 9, q: 7}. Give prob of sequence gq. 21/80 Calculate prob of sequence wwmm when four letters picked without replacement from {w: 3, m: 5}. 1/14 Calculate prob of sequence sssh when four letters picked without replacement from {j: 1, h: 5, s: 5, a: 1, g: 5}. 5/952 Calculate prob of sequence hhxs when four letters picked without replacement from xshihxisxshsxhohhh. 7/765 Four letters picked without replacement from lvmvmmmfm. Give prob of sequence mmvm. 5/126 Calculate prob of sequence czs when three letters picked without replacement from coosz. 1/60 Two letters picked without replacement from jczpv. What is prob of sequence zv? 1/20 Three letters picked without replacement from vllllvplvv. What is prob of sequence llv? 1/9 What is prob of sequence ehve when four letters picked without replacement from ffhcfcchefvhfhfe? 1/5460 Two letters picked without replacement from dbfdoav. What is prob of sequence ov? 1/42 What is prob of sequence lugx when four letters picked without replacement from uluglux? 1/140 Three letters picked without replacement from salsassm. Give prob of sequence ssl. 1/28 Three letters picked without replacement from vnnnnnnvnn. What is prob of sequence vnv? 1/45 Calculate prob of sequence xxa when three letters picked without replacement from {a: 1, t: 8, x: 6, l: 1}. 1/112 Two letters picked without replacement from {w: 3, q: 1, m: 1, a: 3, n: 6}. Give prob of sequence aq. 3/182 Four letters picked without replacement from {z: 11, g: 5}. What is prob of sequence zgzz? 165/1456 What is prob of sequence tggg when four letters picked without replacement from gtgtqqgtqttqqg? 5/1001 Four letters picked without replacement from ggddg. Give prob of sequence dgdg. 1/10 What is prob of sequence jl when two letters picked without replacement from llljllllljlll? 11/78 Two letters picked without replacement from {a: 7, p: 2, x: 3, m: 1, s: 1}. What is prob of sequence px? 3/91 Three letters picked without replacement from {k: 1, t: 2, w: 7, g: 5, v: 1, s: 4}. What is prob of sequence svg? 1/342 Calculate prob of sequence gg when two letters picked without replacement from ugugugggugupgguuguu. 4/19 Calculate prob of sequence xd when two letters picked without replacement from {j: 1, x: 3, d: 1}. 3/20 Two letters picked without replacement from pepj. What is prob of sequence ej? 1/12 What is prob of sequence xolx when four letters picked without replacement from {l: 1, o: 1, r: 1, f: 1, q: 1, x: 2}? 1/420 Three letters picked without replacement from {g: 16, z: 4}. Give prob of sequence zzg. 8/285 Two letters picked without replacement from mmw. Give prob of sequence mm. 1/3 Three letters picked without replacement from agxgagxgyymu. What is prob of sequence myy? 1/660 Three letters picked without replacement from kggkkgggkg. Give prob of sequence ggg. 1/6 Three letters picked without replacement from {b: 2, c: 6}. What is prob of sequence bbc? 1/28 Two letters picked without replacement from {p: 1, v: 2, d: 2, y: 1, o: 1}. What is prob of sequence dp? 1/21 Three letters picked without replacement from {f: 14, n: 5}. Give prob of sequence ffn. 455/2907 Two letters picked without replacement from cysrcrgs. Give prob of sequence rr. 1/28 Four letters picked without replacement from {f: 3, r: 1, u: 3}. What is prob of sequence uufu? 3/140 Two letters picked without replacement from {l: 3, b: 6, s: 6, n: 3}. Give prob of sequence sn. 1/17 Two letters picked without replacement from dttddtdttttdtdttttt. What is prob of sequence dd? 5/57 Two letters picked without replacement from ttiixxzziziiztzxi. Give prob of sequence tx. 9/272 Calculate prob of sequence gwhh when four letters picked without replacement from hwbwhbbdjgbwghg. 3/1820 What is prob of sequence ujx when three letters picked without replacement from ppnujnxpp? 1/504 Two letters picked without replacement from {p: 8, x: 1, q: 3, e: 4, g: 3}. Give prob of sequence gq. 1/38 Three letters picked without replacement from {i: 4, e: 4, z: 4, l: 1, q: 1, n: 3}. Give prob of sequence lqi. 1/1020 Three letters picked without replacement from ttgjgdjjtgjjyytdj. What is prob of sequence tdt? 1/170 Calculate prob of sequence mq when two letters picked without replacement from {i: 1, q: 2, m: 5, g: 1, w: 3, k: 1}. 5/78 What is prob of sequence tt when two letters picked without replacement from {d: 1, k: 6, t: 8}? 4/15 Two letters picked without replacement from cuuujubbdcuu. What is prob of sequence cd? 1/66 What is prob of sequence axq when three letters picked without replacement from pqqqqxcxpqpaqhp? 2/455 Calculate prob of sequence vvo when three letters picked without replacement from ooovovvovvvvvv. 15/91 Three letters picked without replacement from wwgwpwgrwrwrrwwp. Give prob of sequence wrw. 1/15 Three letters picked without replacement from craczcauczcacaaauu. Give prob of sequence raz. 1/408 Two letters picked without replacement from {v: 8, o: 1, j: 8, i: 1}. Give prob of sequence oj. 4/153 Three letters picked without replacement from oruuojrooooooooo. What is prob of sequence ruu? 1/840 Calculate prob of sequence ga when two letters picked without replacement from qqaaaagagxqa. 1/11 Three letters picked without replacement from uzuzz. What is prob of sequence uuz? 1/10 Calculate prob of sequence mnm when three letters picked without replacement from mnmn. 1/6 Two letters picked without replacement from {r: 7, t: 4, p: 6}. Give prob of sequence tt. 3/68 Calculate prob of sequence hmmh when four letters picked without replacement from {h: 3, m: 2}. 1/10 Calculate prob of sequence cccc when four letters picked without replacement from ccccc. 1 What is prob of sequence ea when two letters picked without replacement from eeaaaaaeaazaea? 18/91 Four letters picked without replacement from ccccccccccccaccccc. Give prob of sequence caac. 0 Calculate prob of sequence pq when two letters picked without replacement from {e: 2, q: 1, w: 4, y: 2, p: 3}. 1/44 Two letters picked without replacement from {w: 2, x: 1, z: 1}. What is prob of sequence xz? 1/12 What is prob of sequence cc when two letters picked without replacement from xaccxqao? 1/28 Calculate prob of sequence ank when three letters picked without replacement from kknnnyakynkyyiky. 1/168 Calculate prob of sequence jjj when three le
{ "pile_set_name": "DM Mathematics" }
git of 875? 7 What is the tens digit of 50235? 3 What is the thousands digit of 25329? 5 What is the ten thousands digit of 11001? 1 What is the thousands digit of 1608? 1 What is the hundreds digit of 3524? 5 What is the thousands digit of 15950? 5 What is the thousands digit of 24645? 4 What is the thousands digit of 3795? 3 What is the hundreds digit of 843? 8 What is the units digit of 2644? 4 What is the tens digit of 3399? 9 What is the hundreds digit of 1516? 5 What is the units digit of 4764? 4 What is the ten thousands digit of 10458? 1 What is the ten thousands digit of 100150? 0 What is the units digit of 79941? 1 What is the units digit of 835? 5 What is the tens digit of 397? 9 What is the hundreds digit of 15447? 4 What is the thousands digit of 93567? 3 What is the tens digit of 485? 8 What is the hundreds digit of 466? 4 What is the hundreds digit of 2916? 9 What is the hundreds digit of 10292? 2 What is the units digit of 1092? 2 What is the hundreds digit of 2285? 2 What is the units digit of 1205? 5 What is the tens digit of 839? 3 What is the units digit of 5231? 1 What is the thousands digit of 3250? 3 What is the hundreds digit of 14482? 4 What is the units digit of 46516? 6 What is the hundreds digit of 4476? 4 What is the units digit of 147361? 1 What is the hundred thousands digit of 164277? 1 What is the thousands digit of 7432? 7 What is the units digit of 16818? 8 What is the hundreds digit of 3111? 1 What is the thousands digit of 3769? 3 What is the tens digit of 1139? 3 What is the ten thousands digit of 103619? 0 What is the tens digit of 62078? 7 What is the units digit of 334? 4 What is the units digit of 524? 4 What is the hundreds digit of 450? 4 What is the units digit of 577? 7 What is the ten thousands digit of 47466? 4 What is the hundreds digit of 10122? 1 What is the units digit of 25982? 2 What is the hundreds digit of 1370? 3 What is the units digit of 7166? 6 What is the units digit of 35654? 4 What is the hundreds digit of 17526? 5 What is the hundreds digit of 3036? 0 What is the units digit of 4146? 6 What is the hundreds digit of 2483? 4 What is the units digit of 1455? 5 What is the tens digit of 1225? 2 What is the hundreds digit of 1360? 3 What is the hundreds digit of 3808? 8 What is the hundreds digit of 361? 3 What is the units digit of 22344? 4 What is the ten thousands digit of 27197? 2 What is the tens digit of 887? 8 What is the hundreds digit of 802? 8 What is the hundreds digit of 17521? 5 What is the units digit of 37177? 7 What is the hundreds digit of 7082? 0 What is the tens digit of 1159? 5 What is the thousands digit of 1594? 1 What is the tens digit of 408? 0 What is the units digit of 998? 8 What is the units digit of 10804? 4 What is the thousands digit of 64830? 4 What is the ten thousands digit of 142752? 4 What is the units digit of 8674? 4 What is the thousands digit of 11128? 1 What is the tens digit of 20906? 0 What is the thousands digit of 23068? 3 What is the hundreds digit of 4433? 4 What is the ten thousands digit of 17199? 1 What is the tens digit of 76458? 5 What is the thousands digit of 118391? 8 What is the ten thousands digit of 10922? 1 What is the tens digit of 1805? 0 What is the units digit of 98? 8 What is the tens digit of 80? 8 What is the hundreds digit of 145? 1 What is the units digit of 166583? 3 What is the thousands digit of 1862? 1 What is the hundreds digit of 1262? 2 What is the units digit of 16232? 2 What is the tens digit of 14446? 4 What is the tens digit of 13324? 2 What is the tens digit of 3815? 1 What is the units digit of 1045? 5 What is the tens digit of 60417? 1 What is the units digit of 22774? 4 What is the tens digit of 3052? 5 What is the thousands digit of 90661? 0 What is the thousands digit of 14074? 4 What is the units digit of 10968? 8 What is the tens digit of 54463? 6 What is the tens digit of 1168? 6 What is the hundreds digit of 735? 7 What is the thousands digit of 62326? 2 What is the tens digit of 1500? 0 What is the units digit of 8303? 3 What is the units digit of 50487? 7 What is the tens digit of 22893? 9 What is the tens digit of 7765? 6 What is the tens digit of 4097? 9 What is the hundreds digit of 304? 3 What is the units digit of 855? 5 What is the hundreds digit of 813? 8 What is the tens digit of 534? 3 What is the units digit of 27019? 9 What is the thousands digit of 1192? 1 What is the units digit of 135071? 1 What is the hundreds digit of 8852? 8 What is the hundreds digit of 75535? 5 What is the thousands digit of 16960? 6 What is the ten thousands digit of 20510? 2 What is the units digit of 1279? 9 What is the units digit of 2564? 4 What is the thousands digit of 2177? 2 What is the thousands digit of 34602? 4 What is the units digit of 913? 3 What is the units digit of 213? 3 What is the ten thousands digit of 46377? 4 What is the hundreds digit of 39313? 3 What is the units digit of 2187? 7 What is the tens digit of 2873? 7 What is the units digit of 297? 7 What is the units digit of 768? 8 What is the tens digit of 7433? 3 What is the hundreds digit of 2111? 1 What is the hundreds digit of 368? 3 What is the ten thousands digit of 19034? 1 What is the thousands digit of 2293? 2 What is the units digit of 48428? 8 What is the tens digit of 15874? 7 What is the units digit of 38272? 2 What is the units digit of 36538? 8 What is the hundred thousands digit of 102200? 1 What is the tens digit of 1943? 4 What is the thousands digit of 1094? 1 What is the hundreds digit of 30887? 8 What is the tens digit of 3081? 8 What is the hundreds digit of 3099? 0 What is the hundreds digit of 12734? 7 What is the tens digit of 14716? 1 What is the hundred thousands digit of 103671? 1 What is the hundreds digit of 22194? 1 What is the tens digit of 14609? 0 What is the units digit of 12289? 9 What is the thousands digit of 1224? 1 What is the units digit of 105885? 5 What is the units digit of 6616? 6 What is the tens digit of 2793? 9 What is the tens digit of 26672? 7 What is the tens digit of 645? 4 What is the ten thousands digit of 135972? 3 What is the thousands digit of 1593? 1 What is the units digit of 945? 5 What is the thousands digit of 114604? 4 What is the tens digit of 6305? 0 What is the thousands digit of 23642? 3 What is the hundreds digit of 5563? 5 What is the tens digit of 3502? 0 What is the units digit of 5775? 5 What is the ten thousands digit of 10353? 1 What is the ten thousands digit of 110431? 1 What is the units digit of 25276? 6 What is the hundreds digit of 4450? 4 What is the hundreds digit of 1886? 8 What is the hundreds digit of 8853? 8 What is the hundreds digit of 68072? 0 What is the units digit of 38799? 9 What is the thousands digit of 4017? 4 What is the thousands digit of 1707? 1 What is the thousands digit of 1103? 1 What is the tens digit of 17201? 0 What is the thousands digit of 14462? 4 What is the thousands digit of 1303? 1 What is the tens digit of 9256? 5 What is the hundreds digit of 1085? 0 What is the thousands digit of 30656? 0 What is the units digit of 72057? 7 What is the thousands digit of 1801? 1 What is the units digit of 2266? 6 What is the thousands digit of 1070? 1 What is the hundreds digit of 50746? 7 What is the tens digit of 14234? 3 What is the ten thousands digit of 19758? 1 What is the hundreds digit of 138? 1 What is the ten thousands digit of 157613? 5 What is the hundreds digit of 9305? 3 What is the hundreds digit of 15732? 7 What is the hundred thousands digit of 121095? 1 What is the hundreds digit of 11563? 5 What is the hundreds digit of 524? 5 What is the hundreds digit of 3965? 9 What is the ten thousands digit of 10976? 1 What is the ten thousands digit of 13047? 1 What is the ten thousands digit of 17374? 1 What is the tens digit of 4634? 3 What is the units digit of 1891? 1 What is the tens digit of 31781? 8 What is the hundreds digit of 239? 2 What is the tens digit of 144? 4 What is the hundreds digit of 23654? 6 What is the tens digit of 7355? 5 What is the tens digit of 81? 8 What is the hundreds digit of 663? 6 What is the units digit of 102888? 8 What is the tens digit of 16619? 1 What is the units digit of 1141? 1 What is
{ "pile_set_name": "DM Mathematics" }
2 + 352*h - 88. Determine -88*c(z) + 6*d(z). -2576*z**2 Let c(j) = -2*j + 8. Let d(x) = x + 1. Let u(f) = 2*f**3 - 22*f**2 - 11*f + 120. Let a be u(11). Calculate a*c(h) - 3*d(h). -h - 11 Let i(v) = 7*v**2 - v + 209. Let o(n) = -18*n**2 + 3*n - 625. Give -8*i(d) - 3*o(d). -2*d**2 - d + 203 Let v(z) = -4*z + 9. Let y(p) = -p. Suppose -1 = h, 33*i + 1 = 29*i - 5*h. Determine i*v(g) - 5*y(g). g + 9 Let r(w) = -w - 3. Suppose -6 = -h + 3*k - 1, h - 7 = k. Suppose 0 = -13*c + 15*c - h. Let x(b) = -8 - 3 + c + 5. Give -3*r(a) + 5*x(a). 3*a - 1 Let w(a) = -4*a - a - 34*a**2 - 7 + 46*a**2 - a - 6*a**2. Let n(d) = 13*d**2 - 11*d - 13. Determine 6*n(f) - 11*w(f). 12*f**2 - 1 Suppose 0 = -v - 810 + 811. Let f(l) = 13 - 7*l - 4*l - 9*l - v. Let n(g) = 7*g - 4. Calculate -6*f(x) - 17*n(x). x - 4 Suppose 2*g + 13*g + 1616 = 1541. Let n(l) = -10*l - 63. Let t(m) = 7*m + 42. Calculate g*n(a) - 7*t(a). a + 21 Suppose 0 = 2*t, -2*o + 0*t - 10 = t. Let v(j) = -8*j**2 + 5. Let d(s) = -39*s**2 + 26. Calculate o*d(k) + 26*v(k). -13*k**2 Let c(z) be the second derivative of -5*z**3/6 - 165*z + 2. Let w(u) = 66*u. Let v = -2 + -3. Let x(d) = d + 7. Let r be x(v). Give r*w(f) + 27*c(f). -3*f Let l(z) = -75*z**2 - 9*z - 8. Let w(k) = k**2 + k + 2. What is -l(n) - 3*w(n)? 72*n**2 + 6*n + 2 Let d(h) = -4*h - 18. Let c(z) = 29*z + 90. Calculate -2*c(b) - 11*d(b). -14*b + 18 Let p(b) = -b**3 + 33*b**2 - 16*b + 524. Let m be p(33). Let r(z) = -z + 5. Let k(j) = j - 11. What is m*k(x) - 9*r(x)? 5*x - 1 Let g(z) = -79*z**3 + 22*z**2 - 177*z + 11. Let t(d) = -16*d**3 + 4*d**2 - 35*d + 2. What is -2*g(b) + 11*t(b)? -18*b**3 - 31*b Let o(u) = u + 5. Let w(r) = 102*r - 15. Calculate 7*o(c) + w(c). 109*c + 20 Let j(r) be the first derivative of 39*r**2 + 7*r - 1143. Let g(a) = 52*a + 5. Determine -7*g(m) + 5*j(m). 26*m Let i(c) be the second derivative of 7*c**3/3 - 22*c**2 - 1376*c. Let x(y) = 5*y - 15. Calculate -3*i(v) + 8*x(v). -2*v + 12 Let t = -12866 + 12861. Let a(q) = -19*q + 3. Let v(h) = 28*h - 5. What is t*v(m) - 7*a(m)? -7*m + 4 Let f be (-36)/(-486) - (-672)/(-324). Let l(x) = -11*x**2 - 7. Let d(z) = -z**2 + 1. Determine f*l(o) - 14*d(o). 36*o**2 Let n(k) = -720*k - 5034. Let m be n(-7). Let z(g) = -4 - 4 + 2 + 0 - 3*g. Let l(p) = -p - 2. What is m*z(a) - 17*l(a)? -a - 2 Let c(f) = -1. Let k(s) be the first derivative of s**4/6 - 2*s**3/3 - 37*s**2/2 + 2*s + 161. Let t(n) be the second derivative of k(n). Give -8*c(p) + 2*t(p). 8*p Let t be (-2)/(-5)*40/4. Let v(h) be the first derivative of -3 + 1/2*h**2 - 2*h. Let b(q) = 2*q - 4. Give t*b(c) - 9*v(c). -c + 2 Let f(s) = 3*s - 48 - 41*s**2 - 2*s + 46 + 24*s**2. Let j(t) = 16*t**2 - t + 1. Determine -3*f(x) - 4*j(x). -13*x**2 + x + 2 Suppose 2*i + 0*k = 3*k + 7, -5*i + k = -11. Suppose 8*o = -26 + i. Let j(z) = 10*z**2 - 8. Let b(u) = -u**2 + 1. Determine o*j(h) - 24*b(h). -6*h**2 Let k(b) = 0 - b + 9 + 12 + 1 - 18. Let l(z) = 3*z + 0 - 2*z - 5. Suppose 4*h - 27 + 3 = 0. Give h*k(f) + 5*l(f). -f - 1 Let g(l) = 12*l + 65*l**2 - 69 - 57*l + 24. Suppose 738*r + 418*r - 113 = -2628 - 2109. Let v(t) = 3*t**2 - 2*t - 2. What is r*g(c) + 90*v(c)? 10*c**2 Let z be 20/15*3/2. Let q(g) = -5 - 1 + 0 - z*g. Let v(r) be the second derivative of -r**3/2 - 7*r**2/2 + 10*r. What is -5*q(j) + 4*v(j)? -2*j + 2 Let a(k) = k - 7. Let o = -484 - -492. Let s(h) = h - 18 + o + 7. Let n = -4 + -1. Give n*s(c) + 2*a(c). -3*c + 1 Let z(v) = -9*v - 3. Let a(l) = 10*l + 4. Suppose -2*x + 158 = 436. Let y = x + 142. Suppose 2*p + 7 + 10 = 3*r, y*p = -4*r. Give r*a(t) + 4*z(t). -6*t Let j(u) = -4*u**3 - 104*u + 1. Let d(z) = -17*z**3 + z**2 - 417*z + 4. Calculate 3*d(p) - 13*j(p). p**3 + 3*p**2 + 101*p - 1 Let j(t) = -4*t + 9. Let z(l) = 66 - 469 + 420 - 7*l. What is 5*j(q) - 3*z(q)? q - 6 Let w(z) = z**3 + z - 1. Let j(b) = -145*b - 434. Let m be j(-3). Let o(i) = 36*i**3 + i - 1. What is m*w(p) - o(p)? -35*p**3 Let s(p) = 5*p**3 + 6*p**2 + 6*p. Let q(w) be the third derivative of w**6/40 + w**5/15 + w**4/6 + 921*w**2. Give 8*q(b) - 5*s(b). -b**3 + 2*b**2 + 2*b Let v(z) = -z**3 - 5*z**2 - 3*z + 1. Let x be v(-4). Let h(c) = -8*c**2 - 544*c - 539*c + 1078*c. Let q(d) = 7*d**2 + 4*d. Determine x*q(g) - 2*h(g). -5*g**2 - 2*g Let r(j) = -6*j**3 + 4*j**2 - 13*j. Let k(p) = 7*p**3 - 23*p**2 + 32*p - 27. Let n(o) = 2*o**2 - 2*o + 3. Let c(t) = -k(t) - 9*n(t). Calculate 4*c(y) - 5*r(y). 2*y**3 + 9*y Let w(k) = k - 16. Let a be w(21). Let d(p) = 2*p - a + 4 - 4*p + p. Let t(b) = -b - 3. Calculate 2*d(q) - t(q). -q + 1 Suppose 13*l - 12*l = -3*f + 32, -2*l = -10. Let w(b) = 36 + 4*b**2 - 38 + 3*b**3 - 4*b**3. Let i(p) = -p**3 + 9*p**2 - 5. Give f*w(k) - 4*i(k). -5*k**3 + 2 Let f(o) be the second derivative of o**3/3 - 5*o**2/2 - 8*o - 219. Let z(u) = 2*u - 4. Calculate -7*f(c) + 6*z(c). -2*c + 11 Let z(v) = 21*v**3 - 4*v - 17. Let d(j) = -10*j**3 + 2*j + 9. Determine -7*d(l) - 3*z(l). 7*l**3 - 2*l - 12 Let x(t) = -3*t + 5*t + 10*t. Let k(p) = p + 10. Let l(q) = 4*q + 30. Let g(c) = 3*k(c) - l(c). Give -32*g(u) - 3*x(u). -4*u Let j(q) = 2*q**2 - 8*q + 9. Let r(v) = 2*v**2 - 7*v + 5. Calculate 2*j(g) - 3*r(g). -2*g**2 + 5*g + 3 Let q(u) = -2*u**2 - u + 2. Suppose 10*z + 145 - 75 - 60 = 0. Let o(c) = 1. Determine z*q(d) + 3*o(d). 2*d**2 + d + 1 Let b(c) = 11*c**2 + c + 5. Let l(n) = 91*n + 2461. Let t be l(-27). Let i(h) = 10*h**2 + h + 4. Give t*i(f) - 3*b(f). 7*f**2 + f + 1 Let c be (-2)/4*(4 + -8). Let x be 10 + (-7 - -2 - 0). Let y(b) = -3*b. Let q(w) = 5*w. Calculate c*q(n) + x*y(n). -5*n Let a(k) = -54*k - 1053. Let z(h) = 11*h + 263. Calculate 3*a(l) + 13*z(l). -19*l + 260 Let w(s) = 14*s**2 + 28*s + 2. Let l(n) = -28*n**2 - 45*n - 4. What is 4*l(a) + 7*w(a)? -14*a**2 + 16*a - 2 Let g(n) = -n**2 - 7*n + 2. Let u(a) = 3*a**2 + 14*a - 5. Let j be 152/114*45/(-20). What is j*u(z) - 7*g(z)? -2*z**2 + 7*z + 1 Suppose 0 = 464*w - 510*w + 184. Let z(j) = -7*j**3 + 3*j**2 + 4*j + 5. Let s(b) = -8*b**3 + 4*b**2 + 4*b + 6. What is w*z(o) - 3*s(o)? -4*o**3 + 4*o + 2 Let i(c) = 129 + c**2 - 258 + 129. Let x(m) = -2*m - 2 - 32*m**2 + 49*m**2 + 4 - 22*m**2. Suppose 3*t - t + 12 = 0. Determine t*i(k) - x(k). -k**2 + 2*k - 2 Let i be ((-2)/3)/((-2)/30). Let g(j) = 4519 + 2*j - i*j**2 - 4518 + j**2. Let n(b) = -13*b**2 + 3*b + 1. Suppose 2*a - 5 - 9 = 0. Give a*g(f) - 5*n(f). 2*f**2 - f + 2 Let s(q) = -14*q**2 + 13*q + 2. Let l(c) = -13*c**2 + 13*c + 2. Give 5*l(p) - 4*s(p). -9*p**2 + 13*p + 2 Let t be (-1*4/(-12))/((-1)/(-6)). Let o(g) = 1. Let d(u) = 477*u - 156*u - 21 - 157*u - 161*u. Give t*d(b) + 42*o(b). 6*b Let k(f) be the first derivative of f**3/3 + 2*f**2 + 2*f + 1905. Let z(a) = 3 - 29*a - 3 + 28*a. What is k(c) + 3*z(c)? c**2 + c + 2 Let n(y) be the second derivative of 1/2*y**2 + 0 - 1/2*y**3 - 2*y. Let k = 5684 - 5682. Let z(p) = 13*p - 4. Calculate k*z(i) + 9*n(i). -i + 1 Let y(o) = -4. Let i be (-20)/(-14)*((-63)/(-6))/3. Suppose -21*s - i*t - 28 = -25*s, -5*s - 5*t - 10 = 0. Let k(a) = -a. Determine s*k(c) + y(c). -2*c - 4 Suppose -42 = -2*k + 2. Let s = k - 18. Let d(x) = -x - 11. Let l(n) = -3. Let w(r) = 7. Let f(g) = -11*l(g) - 4*w(g). Calculate s*d(u) + 9*f(u). -4*u + 1 Suppose -6*l + 158 - 140 = 0. Let d(f) = 3*f - 70 + 70 - 4*f**l + f**2. Let n(o) = 7*o**3 - 2*o**2 - 5*o + 1. Determine 5*d(h) + 3*n(h). h**3 - h**2 + 3 Let u(i) = -17*i - 218. Let l(n) = -47*n - 661. Give 3*l(d) - 8*u(d). -5*d - 239 Let c(v) = 6*v - 8. Let p(q) = 1. Let l(a) = -c(a) - 3*p(a). Let k(r) = -444 + 894 - r - 449. What is 22*k(n) - 4*l(n)? 2*n + 2 Let w(s) = 4*s**2 - 2*s + 3. Suppose 5*d + 5*m - 50 = 0, d - 21 = -3*m - 3. Let l(p) = -24*p**2 + 11*p - 17. Calculate d*l(y) + 34*w(y). -8*y**2 - 2*y Let t(n) = -8*n**2 + 6*n - 4. Suppose -13*j = 174 - 239. Let y(h) = h**3 + 9*h**2 - 7*h + 5. Give j*t(f) + 4*y(f). 4*f**3 - 4*f**2 + 2*f Let k be 637/78 - 8 - 0. Let o(p) be the second derivative of 3*p**2 - p + 0 + k*p**3. Let j(q) = -1. Calculate 5*j(l) + o(l). l + 1 Let j(c) be the second derivative of 5/6*c**3 + 5/2*c**2 + 1 + c. Let w(b) = 9*b + 9. Let i = 0 - -4. Determine i*w(k) - 7*j(k). k + 1 Let z(t) = -19*t**2 - 25*t - 13. Let o(i) = 9*i**2 + 12*i + 6. Suppose 87*s - 63 = 5*j + 89*s, -5*s = -5. Determine j*o(r) - 6*z(r). -3*r**2 - 6*r Let g(c) be the third deriva
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
0*f**3 - 5*f + 1/18*f**4 + 0*f**2 - 1/15*f**5 + 1/45*f**6. What is w in k(w) = 0? 0, 1 Let z be (-4*1/6)/(3/(-9)). Let r(w) be the first derivative of -1/9*w**3 + 0*w - z + 1/6*w**2. Suppose r(n) = 0. What is n? 0, 1 Let s(j) be the third derivative of j**7/280 - 9*j**6/320 + 7*j**5/80 - 9*j**4/64 + j**3/8 + 8*j**2. Determine n, given that s(n) = 0. 1/2, 1, 2 Let y(u) = -6*u**3 - 2*u**2. Suppose -d - 4*k + 3 = 0, k = -k + 2. Let r(h) = -h**3. Let p(z) = d*y(z) + 4*r(z). Solve p(x) = 0. -1, 0 Let c = 1 - 7. Let n be 2 - -1*(c - -4). Factor 1/6*d + 1/6*d**2 + n. d*(d + 1)/6 Suppose 0 = q - 3*q - 8. Let y = 0 - q. Suppose 1/4*v + 0 - 1/2*v**3 + 0*v**y + 0*v**2 + 1/4*v**5 = 0. Calculate v. -1, 0, 1 Let y(m) be the third derivative of m**5/60 - m**4/2 + 8*m**2. Let n be y(12). Let 7/3*f**5 - 3*f**3 + 2/3*f + n - 5/3*f**4 + 5/3*f**2 = 0. What is f? -1, -2/7, 0, 1 Suppose 4*j + 3*v + 6 = 3, 0 = -5*j - 3*v. Let n(u) be the third derivative of 1/420*u**6 + 0 + 1/42*u**4 + 0*u + 0*u**j - 1/70*u**5 + 2*u**2. Factor n(r). 2*r*(r - 2)*(r - 1)/7 Let a be (5/2)/(1/6). Suppose 0*i + 3*i = a. Suppose -2*n + 4*n - 1 + 2*n**i - 1 - 4*n**3 - 2*n**4 + 4*n**2 = 0. What is n? -1, 1 Let k(i) be the first derivative of -2*i**3/9 + i**2/3 - 36. What is p in k(p) = 0? 0, 1 Let d(n) be the third derivative of 1/16*n**8 + 0 + 23/70*n**7 + 27/40*n**6 + 13/20*n**5 + 0*n - 6*n**2 + 1/4*n**4 + 0*n**3. Solve d(j) = 0 for j. -1, -2/7, 0 Let z = -175/4 + 44. Factor 0 + z*j - 1/4*j**2. -j*(j - 1)/4 Let m = -86/3 + 29. Let x(t) be the first derivative of 2*t + 4/3*t**3 - m*t**6 - 6/5*t**5 - 1 - t**4 + 3*t**2. Determine s, given that x(s) = 0. -1, 1 Let a(r) be the first derivative of -2*r**3/21 + 2*r**2/7 - 5. Factor a(d). -2*d*(d - 2)/7 Let g(d) be the first derivative of -d**6/8 + 9*d**5/10 - 39*d**4/16 + 3*d**3 - 3*d**2/2 - 21. Let g(a) = 0. Calculate a. 0, 1, 2 Factor -2 + 1/2*z**2 + 3/2*z. (z - 1)*(z + 4)/2 Determine z, given that 23*z**3 + 1 + z - 24*z**3 - 5*z**2 + 4*z**2 = 0. -1, 1 Let b(v) be the first derivative of -2*v**3/21 - 30. Determine m so that b(m) = 0. 0 Suppose a**3 + 3*a**3 - a**3 - 3*a**2 = 0. Calculate a. 0, 1 Let c = -14 - -16. Factor 2/7*o**c + 0 - 4/7*o. 2*o*(o - 2)/7 Let k(q) be the first derivative of q**6/900 - q**5/300 - q**3 + 6. Let u(b) be the third derivative of k(b). Find h such that u(h) = 0. 0, 1 Suppose -2*x = -6*x + 8. Let q(l) be the first derivative of 0*l**3 + 0*l**5 + 1/4*l**4 - 1/12*l**6 + 0*l - 1/4*l**x + 3. Factor q(g). -g*(g - 1)**2*(g + 1)**2/2 Let o(t) be the first derivative of -2*t**5/5 + 4*t**3/3 - 2*t + 8. Let o(a) = 0. What is a? -1, 1 What is d in -196/5 - 4/5*d**2 - 56/5*d = 0? -7 Suppose 15 = 5*v, -2*v = -3*j + v - 3. Let w(q) be the first derivative of 2*q - j + 2/3*q**3 + 2*q**2. Factor w(t). 2*(t + 1)**2 Determine c so that -4/9*c**2 + 2/9*c**5 + 0*c + 4/9*c**4 - 2/9*c**3 + 0 = 0. -2, -1, 0, 1 Factor 3*t**3 - t**3 + 28*t**4 - 2*t + 4*t**2 - 1 - 31*t**4. -(t - 1)**2*(t + 1)*(3*t + 1) Let t = 520 + -4151/8. Let k(y) be the first derivative of 9/20*y**5 - 1/2*y**3 - 3/4*y - t*y**2 + 1/8*y**6 + 3/8*y**4 + 1. What is p in k(p) = 0? -1, 1 Suppose -2*i**2 - 6*i + 4*i**2 - 4 + 4 = 0. Calculate i. 0, 3 Let c(l) be the first derivative of 0*l - 7 - 2/9*l**3 + 0*l**2 - 1/12*l**4. Factor c(y). -y**2*(y + 2)/3 Let j(k) be the second derivative of k + 1/30*k**4 + 0*k**2 + 0 - 1/75*k**6 + 1/105*k**7 - 1/50*k**5 + 0*k**3. Factor j(m). 2*m**2*(m - 1)**2*(m + 1)/5 Factor 0 - 1/2*b - 2*b**3 - 5/2*b**2. -b*(b + 1)*(4*b + 1)/2 Let j(g) be the third derivative of -g**6/660 + 2*g**5/165 - g**4/44 - 5*g**2. Determine x so that j(x) = 0. 0, 1, 3 Let t(l) be the third derivative of -l**6/600 + l**5/150 - l**4/120 - 24*l**2. Determine s so that t(s) = 0. 0, 1 Let d(q) be the third derivative of -q**7/6 - q**6/12 + 7*q**5/12 + 5*q**4/12 + 13*q**2. Let d(c) = 0. What is c? -1, -2/7, 0, 1 Suppose -2*k = 4*a - 14, 3*a + 4*k + 2 = 20. Factor 0 - 1/2*m**a + 0*m - 1/2*m**3. -m**2*(m + 1)/2 Let z(d) be the second derivative of -1/4*d**4 + 0 + 0*d**2 - 1/2*d**3 - 2*d. Factor z(r). -3*r*(r + 1) Let m(f) = f**3 - f**2 - f. Let o(w) = -6*w**3 - w**2 - 6*w - 6. Let c(i) = -10*m(i) - 2*o(i). Find y such that c(y) = 0. -3, -2, -1 Let l(a) be the third derivative of a**6/360 - a**5/90 + a**4/72 + 20*a**2. Solve l(c) = 0. 0, 1 Let u(v) be the third derivative of v**6/360 - v**4/72 - 15*v**2. Solve u(a) = 0 for a. -1, 0, 1 Let z(s) = s**3 - 7*s - 8. Let i be 4*(-1 - (-6)/3). Let c(l) = -1 + 4*l - l**3 + l - i*l. Let p(n) = 2*c(n) - z(n). What is a in p(a) = 0? -1, 2 Let i(k) = k**2 - k + 1. Let b(w) = -w**2 + w - 1. Let o(y) = -3*y + 2 - 5*y + 2*y + 5*y. Let t(n) = 2*b(n) - o(n). Let x(m) = 6*i(m) + 2*t(m). Factor x(d). 2*(d - 1)*(d + 1) Let s = 23 - 20. Let n(h) = h**2 - 2*h - 3. Let v be n(s). Suppose -6/5*i**3 + 4/5*i + v + 2/5*i**2 = 0. Calculate i. -2/3, 0, 1 Let c be (-3)/2*2/(-3). Factor c - 2*f - 2 - 2*f**2 + f**2. -(f + 1)**2 Let l(g) = g**2 - 4*g - g**3 + 3*g + g + g. Let f(o) = 10*o**3 + 7*o**2 + 4*o + 2. Let p(q) = f(q) + 5*l(q). Factor p(s). (s + 1)**2*(5*s + 2) Factor -1/3*f**2 + 2/3 - f + f**3 - 1/3*f**4. -(f - 2)*(f - 1)**2*(f + 1)/3 Let s(z) be the first derivative of -3*z**5/20 - z**4/2 - z**3/2 + 3*z + 1. Let c(k) be the first derivative of s(k). Factor c(i). -3*i*(i + 1)**2 Suppose -3*a + 33 = 3. Let g be 5/a + 0 + 1. Solve 0*z + 0 - 1/2*z**5 - 3/2*z**3 - g*z**4 - 1/2*z**2 = 0 for z. -1, 0 Let m(f) = -4*f**3 + 2*f**2 - 4*f - 3. Let c(u) = -u**3 - u - 1. Let r(t) = 3*c(t) - m(t). Factor r(y). y*(y - 1)**2 Suppose 2*z = -3*z. Suppose z - 2/5*m - 2/5*m**2 = 0. What is m? -1, 0 Suppose 2*p + p - 7*p = 0. Factor 0*t**4 + 2/7*t + p*t**2 + 2/7*t**5 + 0 - 4/7*t**3. 2*t*(t - 1)**2*(t + 1)**2/7 Suppose -4*f + s = 3, 4*f + s = -0 + 3. Let t = 5 - f. Factor -1 + 4*y**2 - t*y**3 - 14*y**2 - 5*y**3 - y**5 - 5*y - 5*y**4. -(y + 1)**5 Let t(y) be the third derivative of y**7/1365 + y**6/260 - y**5/78 - y**4/52 + 4*y**3/39 + 23*y**2. Suppose t(z) = 0. What is z? -4, -1, 1 Let s = -10 - -18. Suppose -5*m**4 + 8*m**3 - s*m**5 + 0*m**3 + 3*m**4 + 2*m**2 = 0. Calculate m. -1, -1/4, 0, 1 Let i(w) be the second derivative of -3*w + 0 + 1/21*w**4 + 1/21*w**3 - 1/147*w**7 + 0*w**2 - 2/105*w**6 + 0*w**5. Determine l so that i(l) = 0. -1, 0, 1 Let v(k) be the third derivative of -k**5/510 + k**4/204 + 2*k**3/17 - 5*k**2. Determine h so that v(h) = 0. -2, 3 Let i = 268 + -268. Let 1/6*d + 1/3*d**2 + i = 0. What is d? -1/2, 0 Let h(y) = 3*y - 30. Let i be h(10). Let u(d) be the second derivative of -2*d - 1/9*d**4 - 1/6*d**3 + 1/6*d**2 + i. Determine v so that u(v) = 0. -1, 1/4 Suppose -7*q + 18 = 2*q. Factor 1/3*i**4 + 0*i**3 - 1/3*i**q + 0*i + 0. i**2*(i - 1)*(i + 1)/3 Suppose 5 = -2*h - 3, -3*u = h + 4. Suppose 1/5*p**4 + 0*p - 1/5*p**2 + 0*p**3 + u = 0. Calculate p. -1, 0, 1 Factor -1/2 + 4*q - 8*q**2. -(4*q - 1)**2/2 Let v(g) be the second derivative of g**6/120 - g**5/40 - 5*g**3/6 + g. Let k(h) be the second derivative of v(h). Solve k(b) = 0. 0, 1 Let h(i) = -i - 1. Let y(v) be the first derivative of -2*v**3/3 + 7*v**2 + 8*v + 1. Let b(w) = 10*h(w) + y(w). Find f, given that b(f) = 0. 1 Let n(m) = -m**2 - 11*m + 12. Let i be n(-12). Let a be i + (-2 - -5 - 0). Factor 0*x**a + 0 + 2/7*x**4 + 2/7*x**5 + 0*x + 0*x**2. 2*x**4*(x + 1)/7 Suppose -4*r = -2*r - 2*t - 4, 4*t + 2 = 2*r. Factor -2 - 3*u**3 - u**5 + u**2 + 2 + r*u**4. -u**2*(u - 1)**3 Let h(b) be the second derivative of -b**8/168 + b**6/30 - b**4/12 + b**2/2 - b. Let d(n) be the first derivative of h(n). Find w, given that d(w) = 0. -1, 0, 1 Find y, given that 6/11*y**3 + 0 - 10/11*y**4 + 2/11*y + 10/11*y**2 - 8/11*y**5 = 0. -1, -1/4, 0, 1 Suppose 4*d = -2*n + 8, 5*d - 16 = d - 4*n. Suppose 0*y + 2/9*y**2 + d - 2/9*y**3 = 0. Calculate y. 0, 1 Let r(q) be the second derivative of q**7/2520 - q**6/360 + q**5/120 - q**4/72 - q**3/6 + 3*q. Let u(j) be the second derivative of r(j). Solve u(l) = 0 for l. 1 Let a(s) be the second derivative of -s**6/120 - s**5/8 - s**4/2 + 5*s**3/12 + 25*s**2/8 + 34*s. Suppose a(y) = 0. What is y? -5, -1, 1 Let d(j) be the first derivative of -49*j**5 - 175*j**4/2 + 5*j**3 + 50*j**2 - 20*j + 7. Suppose d(b) = 0. Calculate b. -1, 2/7 Suppose 0*z - 3*z = -9. Let g(f) = 5*f**3 -
{ "pile_set_name": "DM Mathematics" }
assuming n is positive. n**(53/50) Simplify (w/w**6)**(26/3) assuming w is positive. w**(-130/3) Simplify ((k**(-1/54)*k)/k)/(k*k**21) assuming k is positive. k**(-1189/54) Simplify c*(c**(3/4)/c)/c*c/(c*c/(c/(c*c*c/(c/c**28)))) assuming c is positive. c**(-121/4) Simplify g**16*g/g**(-2/53) assuming g is positive. g**(903/53) Simplify (w/((w*(w/(w/(w/(w/(((w*(w/(w*w**(-15))*w)/w)/w)/w))*w*w)*w))/w)/w))/w**(-2/5) assuming w is positive. w**(-63/5) Simplify ((i/(i/(i*(i*i**(-1/3))/i*i)*i))/i)**(-1/12)*i/((i**(-3/5)/i*i)/i)*(i/i**(-7))/i assuming i is positive. i**(1733/180) Simplify b**(-3/5)*b*b**(-2/3)*b*b**(-1/5)*b*b**(-4/9)/b*b*b*b assuming b is positive. b**(139/45) Simplify l**(-1)*l**(-25) assuming l is positive. l**(-26) Simplify (a/a**(-1/3))/(a*a**5*a*a)*(a/((a*a/((a*a**(-6)*a)/a)*a)/a)*a*a)/(a/a**1) assuming a is positive. a**(-32/3) Simplify (v/((v/(v*v*v/v**(-1/3)))/v)*v*v**(-2/7))/((v*v*v**(-4))/(v**(1/7)*v)) assuming v is positive. v**(172/21) Simplify ((p/p**(2/15))/p**(-3/4))/(p**(-1))**47 assuming p is positive. p**(2917/60) Simplify m**6/(m*m*(m**(-5)*m)/m*m*m)*(m**(3/2)/m)/(m/(((m*m**(-2)/m)/m*m)/m)) assuming m is positive. m**(7/2) Simplify ((d**(-1/2))**(6/5))**(-3/7) assuming d is positive. d**(9/35) Simplify (g/((g*g**5)/g)*g)**(-7) assuming g is positive. g**21 Simplify k*k**(1/4)*k**21 assuming k is positive. k**(89/4) Simplify p*p**(2/27)*p/(p*p*p/p**(-2/39))*p assuming p is positive. p**(8/351) Simplify w*(w*w/(w/(w/w**(-16)))*w*w)/w*w*w/((w/(w/((w/(w/w**16))/w)))/w) assuming w is positive. w**8 Simplify (r**(2/7)*r/(r/((((r**(2/19)*r)/r)/r)/r)))/(r**(-1/7)/(r*r**(-1))) assuming r is positive. r**(-195/133) Simplify ((y**2*y)/y*y)**(-12/13)*((y/(y/(y/(y/(y*y**(2/27))))))/y*y*y)/y*(y**(-3)*y)/y assuming y is positive. y**(-1648/351) Simplify ((h*h**7)/h)/h**(1/17) assuming h is positive. h**(118/17) Simplify (c/(c*((c/((c/c**1)/c))/c)/c))**(1/47)/(c**0)**(-8) assuming c is positive. 1 Simplify (j*j**(4/7)*j)/((j*j*j**3)/j)*j**(1/10)/j**3 assuming j is positive. j**(-303/70) Simplify ((v/(v/(v**13/v)*v))/v)/v**(-16/7) assuming v is positive. v**(86/7) Simplify (l/(l/(l/((l*l/((l*l*l**(-1/15)/l*l)/l)*l)/l)*l)))/l**(-12) assuming l is positive. l**(194/15) Simplify ((s*s/(s/((s**2*s)/s))*s)**(4/7))**14 assuming s is positive. s**32 Simplify (h/((h*(((h/h**9)/h*h)/h)/h)/h))/(h*(h/h**3)/h) assuming h is positive. h**13 Simplify (f/((f**6*f*f)/f*f*f))/((f**(-7)/f)/f)*(f/f**(-1/3))**40 assuming f is positive. f**(163/3) Simplify (x/(x*x/(x/(((x/(x/(x*x*x**19*x)))/x)/x))))/(x*x/(x**(1/53)/x*x)) assuming x is positive. x**(-1165/53) Simplify ((w*w**(8/5))/(w*w*w/(w/(w**(-2/13)*w))))/(w**(-7)/w**(-1/2)) assuming w is positive. w**(813/130) Simplify w/w**(-2/13)*w**4*((w/(w**(-1/2)/w))/w)**(-11) assuming w is positive. w**(-295/26) Simplify ((d*d/d**(7/5))/(d*d*d*d**(-4/5)*d))**(-33) assuming d is positive. d**(429/5) Simplify (g**6)**(-10) assuming g is positive. g**(-60) Simplify (c/(c/(c/c**(2/5)))*c**(-3)*c)/(c/c**(-1/3)*c**(-4)) assuming c is positive. c**(19/15) Simplify (o*o/(o**(1/2)/o))**12 assuming o is positive. o**30 Simplify (a*a*a**(3/10)*a/(a**(9/2)/a))/(a**2/(a**(2/33)/a)) assuming a is positive. a**(-518/165) Simplify ((g/(g**5*g))/g**(-1/6))/(g*g/((g**(2/9)*g)/g)*g*g*g**5) assuming g is positive. g**(-245/18) Simplify (y*y**(-3/7)*y)/(y/y**(7/4)) assuming y is positive. y**(65/28) Simplify (d*d**(-6/19))/d**(-24) assuming d is positive. d**(469/19) Simplify ((a**21/a)/a*a)**(-30) assuming a is positive. a**(-600) Simplify ((x*x/((x*x**9*x*x)/x))/x)/(x*x*x**(-2)/x)*((x*x**0/x*x)/x)**21 assuming x is positive. x**(-9) Simplify (k**(-4)*k)/(k**(-4/5)/k)*(k**6/k)/k**3 assuming k is positive. k**(4/5) Simplify (n**29)**(-15/8) assuming n is positive. n**(-435/8) Simplify v**0*v*v/(v/v**(2/19))*(v*v**(-1)*v)**(2/57) assuming v is positive. v**(65/57) Simplify (x**39*x)/x**(1/27) assuming x is positive. x**(1079/27) Simplify (x*x*x*x**5*x*(x**14*x)/x)**(5/4) assuming x is positive. x**(115/4) Simplify (x/(x**(4/5)/x)*x)/(x**(1/4)*x)*x*x**(-5/2)*x*x*x/(x*x**1)*x assuming x is positive. x**(29/20) Simplify ((f/f**20*f*f*f*f)/(f**(-13/4)/f))**(-5) assuming f is positive. f**(215/4) Simplify u**(-4)/(u*u/(u/u**(1/15))) assuming u is positive. u**(-76/15) Simplify y**(-2/37)/y*y**(15/7)/y assuming y is positive. y**(23/259) Simplify g/g**(-34)*g*g**(2/9)/g assuming g is positive. g**(317/9) Simplify r**(-6)*r*r**(-8)*r**(-1)*r*r*r*r*r**(2/11)*r assuming r is positive. r**(-97/11) Simplify (c**1/(c**(-3/5)/c))**12 assuming c is positive. c**(156/5) Simplify (k*(k**(-2/7)*k)/k*k*k/k**(-5))/((k**(1/5)/k*k)/(k*k/(k/(k/(k**(-1)*k)*k)*k))) assuming k is positive. k**(333/35) Simplify y**(-13)*y**40 assuming y is positive. y**27 Simplify (u*(u*(u**(-7)*u)/u)/u*u)**(-2) assuming u is positive. u**10 Simplify (q/(q**4/q*q))/q**(1/5)*(q**(-2/5)*q)**(-2/159) assuming q is positive. q**(-170/53) Simplify m**(-1/4)*m/(m*m**(-3/10)) assuming m is positive. m**(1/20) Simplify c*c**(-1)/c*c*c**(-1/7)*(c*c**(-2/25)*c)/c**(-2/7) assuming c is positive. c**(361/175) Simplify (k**(-7)/k**(2/9))/((k*k**(1/3))/((k**(1/5)/k)/k)) assuming k is positive. k**(-466/45) Simplify (b/(b/b**(-2/15)))/(b**(-1/3)/b) assuming b is positive. b**(6/5) Simplify i**(2/5)/(i/i**0)*i/(i/i**(-2))*i**(1/4) assuming i is positive. i**(-47/20) Simplify (j**(-9)/(j**(-7)/j))/(j**(-2)*(j**(-5/2)/j)/j*j) assuming j is positive. j**(9/2) Simplify ((s/(s**6*s))/s*s*s*s**(-1)/s*s)/(s*s**(-1/3)*s*s*s)**(-2) assuming s is positive. s**(4/3) Simplify ((a*a*(a**7*a)/a*a*a*a)/((a*a**(-10)/a)/a))**32 assuming a is positive. a**736 Simplify x**18/x**(-15) assuming x is positive. x**33 Simplify (t/(t**9*t)*t**(-12))**(-31) assuming t is positive. t**651 Simplify g**(14/5)*g*g*g**(2/71) assuming g is positive. g**(1714/355) Simplify j*j*j**(-2/17)*j**(2/51)/j assuming j is positive. j**(47/51) Simplify ((w*(w*w/(w**13/w))/w*w)/w**16)**(-10) assuming w is positive. w**250 Simplify (k**1)**(1/7)/((k**(-11)*k*k)/k*k**3*k*k) assuming k is positive. k**(36/7) Simplify b**(-1/4)*b**(4/9) assuming b is positive. b**(7/36) Simplify (n/(n/(n*n**(3/26)*n)))**2 assuming n is positive. n**(55/13) Simplify y**(11/6)*y**1 assuming y is positive. y**(17/6) Simplify z**11*z**(-17) assuming z is positive. z**(-6) Simplify z**(-17)/(z/(z*z**(2/13)*z)*z) assuming z is positive. z**(-219/13) Simplify (n/(n/n**(2/11)*n))/n**26 assuming n is positive. n**(-295/11) Simplify (u**(-2/3))**33*u*u/(u**(-3)/u)*u**(-6) assuming u is positive. u**(-22) Simplify (u/u**(-18))/(u/((u*u/u**19)/u)) assuming u is positive. 1 Simplify ((y**(-1/6)/y)/(y**6*y))**(-13) assuming y is positive. y**(637/6) Simplify (w**(-5/3)/w)/(w*w*w*w**(3/13)*w*w*w*w)*(w**0)**(-8) assuming w is positive. w**(-386/39) Simplify ((x*x/(x**(-24)*x)*x)/x)/x*x**9 assuming x is positive. x**33 Simplify (d/(d**(2/45)/d))/d**(-3/2) assuming d is positive. d**(311/90) Simplify d**(-1/4)/(d**(-25)*d) assuming d is positive. d**(95/4) Simplify ((u/((u/(u/(u*u**(-4/3))*u)*u)/u)*u)/u**(1/5))/(u**1*u**(-4)) assuming u is positive. u**(92/15) Simplify (s**3*s)**(-3/7) assuming s is positive. s**(-12/7) Simplify (m*m*(m/((m*m**(8/3))/m))/m*(m**(1/15)/m)/m)**(1/42) assuming m is positive. m**(-13/210) Simplify (u**(10/3)*u*u)/u**(-2/67) assuming u is positive. u**(1078/201) Simplify (n*(n*n**20)/n)/(n/(n**24*n)) assuming n is positive. n**45 Simplify p**(-3/8)*p**(6/11)/p assuming p is positive. p**(-73/88) Simplify (f**(-4)*(f/(f**(2/7)*f))/f)**(3/2) assuming f is positive. f**(-111/14) Simplify ((o*(o**(2/7)*o)/o)/(o*o**(-3/7)))/(o/(o/(o**(-1/5)*o))*o**0) assuming o is positive. o**(-3/35) Simplify ((o**(2/11)*o*o)/o)/(o/o**(5/4))*o/(((o*o**(2/5))/o)/o*o)*o*o**(1/4) assuming o is positive. o**(361/110) Simplify (r/((r**(2/37)/r)/r*r))/r*r*r/(r*r**3/r) assuming r is positive. r**(-2/37) Simplify (s**(1/4)/s)**(-5/12)*(s/(s*s*s*s**(-3)/s*s))/(s/s**(1/6)) assuming s is positive. s**(23/48) Simplify p**(2/11)*p*(p/(p/(p/(p/p**49))))/p assuming p is positive. p**(541/11) Simplify ((v*v**(-2/7)/v)/v)**(1/10)/(v**1*v*v)**(-3/2) assuming v is positive. v**(153/35) Simplify f**(2/5)/(f*f**(7/4)) assuming f is positive. f**(-47/20) Simplify ((a/(a**4/a)*a)*
{ "pile_set_name": "DM Mathematics" }
ided by -291 -861039 Calculate 2066 divided by 2998. 1033/1499 55004444 divided by -4 -13751111 18429380 divided by -20 -921469 Calculate -85376058 divided by 3. -28458686 What is -4 divided by 5763942? -2/2881971 7246318 divided by 5 7246318/5 Calculate -1823222 divided by 80. -911611/40 Divide -40952 by 1721. -40952/1721 Divide -90938277 by -1. 90938277 Calculate -909 divided by 165844. -909/165844 Calculate -1321 divided by -766253. 1321/766253 What is -1494035564 divided by -6? 747017782/3 What is -3169 divided by 24101? -3169/24101 Divide 1 by -144792575. -1/144792575 266215310 divided by 2 133107655 32 divided by 13311021 32/13311021 What is -11936978 divided by -11936978? 1 Divide -26038665 by 33255. -783 What is -40345 divided by 2688? -40345/2688 What is 369304092 divided by 3? 123101364 -32 divided by 4930788 -8/1232697 5500367 divided by -24 -5500367/24 87 divided by -91676 -87/91676 82922149 divided by -1879 -44131 Calculate 3882439 divided by 7. 3882439/7 Divide -8776250 by 1755250. -5 18 divided by 475344 1/26408 Calculate 12486058908 divided by -3. -4162019636 105908 divided by -7 -105908/7 Divide -7014336 by -2149. 3264 34979648 divided by -8744912 -4 What is 411841 divided by -359? -411841/359 Divide -9230535305 by -5. 1846107061 What is -42117408 divided by -144? 292482 What is 489332880 divided by 2265430? 216 Calculate 48670797 divided by 3. 16223599 What is 2785823975 divided by -5? -557164795 What is -23341609 divided by 2? -23341609/2 What is 3935055 divided by -5? -787011 -235 divided by -8465 47/1693 -285 divided by 312996 -95/104332 What is 762857090 divided by -20830? -36623 Calculate 117142002 divided by 3. 39047334 What is 424374866 divided by 19777? 21458 Calculate 28340197 divided by -1. -28340197 What is 168530208 divided by -6018936? -28 Calculate 4740 divided by -1432. -1185/358 62384958 divided by 69471 898 Calculate 219846588 divided by -8455638. -26 Divide 4105365 by -11. -373215 97881238 divided by 8027 12194 7251524 divided by 28 258983 What is 0 divided by 2486773? 0 -12309822 divided by 9 -1367758 -317161215 divided by 5 -63432243 What is -39 divided by 1247913? -13/415971 What is 2 divided by -226137278? -1/113068639 Calculate -7192477 divided by -30. 7192477/30 Calculate 280254 divided by -225. -93418/75 Divide 193058164 by 390806. 494 What is 13432518 divided by -179? -75042 Divide -67312910 by -13462582. 5 Divide 9711204 by 2427801. 4 What is -25143278 divided by 2? -12571639 Divide -863092 by 4. -215773 What is -153334 divided by -1531? 153334/1531 22510305 divided by 9 2501145 Calculate -105710 divided by 11522. -52855/5761 110262120 divided by 4380 25174 257541681 divided by -1 -257541681 Calculate 39 divided by 29896. 39/29896 Divide 339167 by 26. 339167/26 Divide 705392379 by 235130793. 3 What is 4057 divided by 71660? 4057/71660 Divide 2347366 by 1567. 1498 What is -3307 divided by -2342? 3307/2342 What is -1735662 divided by 7? -1735662/7 585 divided by 1857 195/619 Divide 2546796 by -363828. -7 Divide 14619288 by -59428. -246 What is 23046107 divided by -133? -173279 Divide 6589921 by 6589921. 1 -9821100 divided by -25 392844 Divide -295516144 by 6424264. -46 -7554204 divided by 17406 -434 What is -4 divided by -15489465? 4/15489465 Calculate -49743524 divided by -20. 12435881/5 Calculate -1 divided by 421280. -1/421280 491024666 divided by 22319303 22 What is -23213131 divided by -13? 23213131/13 What is 7283 divided by -9448? -7283/9448 What is -318829252 divided by -2114? 150818 Divide -18295225 by -41. 446225 Divide -898932500 by 1797865. -500 Calculate 24698 divided by -24485. -24698/24485 Divide -392439715 by 4. -392439715/4 Divide 25274190 by 5054838. 5 Divide 57306496 by 275512. 208 -20719 divided by 15069 -20719/15069 -712534458 divided by 356267229 -2 What is -22269520 divided by 95? -234416 What is -8035620 divided by -401781? 20 -5839 divided by 810 -5839/810 Divide -32 by 82217. -32/82217 250 divided by -296 -125/148 Divide -226 by -2121617. 226/2121617 Divide -11688915 by -5. 2337783 116954125 divided by -23390825 -5 -136849 divided by -38 136849/38 What is 89683 divided by -1941? -89683/1941 What is 260 divided by 25163? 260/25163 9473468025 divided by -3 -3157822675 Divide -124069968 by 48. -2584791 What is 1929 divided by -88681? -1929/88681 Calculate 46657240 divided by -1. -46657240 40 divided by 316256 5/39532 Divide -257 by 76763. -257/76763 What is 1608 divided by -1693? -1608/1693 620224087 divided by -133 -4663339 What is -1 divided by 523268? -1/523268 -9047 divided by -276 9047/276 What is 1157136 divided by -6? -192856 3315 divided by 3453 1105/1151 Calculate 1084 divided by -401738. -542/200869 Calculate 354 divided by 23133. 118/7711 Divide 67 by 10489205. 67/10489205 What is -13193844 divided by 3? -4397948 What is 38308313 divided by -1? -38308313 Divide -5436490 by 1. -5436490 Divide -476 by 41563. -476/41563 Calculate 3228 divided by -79947. -1076/26649 Divide 27521744 by 8. 3440218 125118 divided by 582 20853/97 -1623515 divided by 10 -324703/2 Divide 1 by 9122874. 1/9122874 What is -1 divided by 393177? -1/393177 Divide 126939 by -814. -126939/814 Divide 41225991 by -1. -41225991 Divide -48376252 by 9. -48376252/9 What is -5 divided by 1571854? -5/1571854 Divide -96674 by 410. -48337/205 What is 15620142 divided by -140722? -111 2169 divided by 90758 2169/90758 What is -38113827 divided by 4? -38113827/4 What is 322721108 divided by -161360554? -2 Divide -43266153 by 14422051. -3 Divide -100155600 by 20. -5007780 What is -51962820 divided by -25981410? 2 -4408345 divided by 4 -4408345/4 Divide -37638528 by -784136. 48 -196746 divided by -4267 196746/4267 Divide -12904670 by 6452335. -2 Calculate 10799 divided by 13288. 10799/13288 Divide 9571464 by 4785732. 2 10124 divided by 122544 2531/30636 -231992178 divided by 7030066 -33 Calculate 915418 divided by 65387. 14 Divide -3716151 by -1238717. 3 What is -370189791 divided by -9? 41132199 What is -199106010 divided by 22122890? -9 3405 divided by 629 3405/629 -5201 divided by 2673 -5201/2673 What is -8066520 divided by -462? 17460 What is 635011 divided by -133? -635011/133 -13 divided by 81378 -13/81378 Calculate 39988720 divided by 48530. 824 Divide 19558 by 1462. 9779/731 Calculate 2517 divided by 28244. 2517/28244 Calculate -14366160 divided by 405. -35472 Divide 18 by 78618. 3/13103 What is -75990540 divided by 5? -15198108 What is -3064658 divided by 1? -3064658 What is -15179 divided by -3120? 15179/3120 1073 divided by 991 1073/991 What is -5439394 divided by 36506? -149 295746220 divided by 35 8449892 Calculate 521946 divided by 668. 260973/334 What is 127448510 divided by 2600990? 49 What is 1644 divided by 16087? 1644/16087 What is -69332 divided by 4931? -69332/4931 What is 83307526 divided by -1? -83307526 0 divided by -653331 0 Calculate -73802610 divided by 820029. -90 Calculate 404462272 divided by 5321872. 76 Calculate -16278651 divided by -4. 16278651/4 Calculate 25885 divided by -2294. -835/74 Divide -2 by 12920970. -1/6460485 321531 divided by -7 -45933 Divide 14691094 by -78562. -187 96486280 divided by -187352 -515 Calculate 134 divided by -86994. -67/43497 What is -19 divided by 14170598? -19/14170598 Calculate 36896 divided by -199. -36896/199 13710979 divided by 9 13710979/9 Calculate 8416527 divided by -177. -47551 Divide -178877120 by -35775424. 5 What is -20208 divided by 1293? -6736/431 Calculate 97 divided by -15310. -97/15310 -19103238 divided by 303226 -63 What is 35 divided by 35844? 35/35844 Divide -122661409 by 9435493. -13 What is -2085 divided by -6357? 695/2119 Divide 15677676 by -15677676. -1 What is -2 divided by 245956091? -2/245956091 Divide -1212048 by -63792. 19 What is 39575199 divided by -1? -39575199 Calculate -99432815 divided by 19886563. -5 What is 4581640 divided by -6? -2290820/3 Calculate -174336 divided by 181. -174336/181 What is -129 divided by 675824? -129/675824 Calculate 61075 divided by -180. -12215/36 Calculate -25 divided by 34573. -25/34573 Divide -53037816 by 92. -576498 Calculate -7 divided by -5525544. 7/5525544 -649740624 divided by -624 1041251 Divide 3707268 by 4. 926817 Divide -52981466 by 46. -1151771 Calculate -37270002 divided by 46
{ "pile_set_name": "DM Mathematics" }
ive of m(q) wrt q? 9*q**2 Let f(w) be the third derivative of 0*w**4 + 0*w + 5/6*w**3 + 1/12*w**5 + 0 + 6*w**2. What is the first derivative of f(b) wrt b? 10*b Let j(f) be the first derivative of 16*f**5/5 - 16*f + 17. Differentiate j(w) wrt w. 64*w**3 Let h be (1 + -3 - -2) + 2. Suppose 3*g - 2*p = 15, 2*g - 11 = p - h. What is the second derivative of 3*z + 0*z + 2*z**g - 2*z wrt z? 12*z Suppose -3 = 2*m + 1, -2*m = 5*z - 26. Suppose -2*w + 2 = -0*w. Find the first derivative of w + 6*q**2 - z*q**2 - 2*q**4 wrt q. -8*q**3 Let l(f) = 4*f**3 + 1. Let n(o) = 0*o**3 - 3*o**3 - 3 - 10*o**3. Let x(q) = -14*l(q) - 4*n(q). Differentiate x(s) with respect to s. -12*s**2 Let t(q) be the third derivative of 11*q**7/70 - 17*q**5/30 - 41*q**2. What is the third derivative of t(r) wrt r? 792*r Let t(s) be the first derivative of -2*s**3/3 + 17*s - 6. Find the first derivative of t(h) wrt h. -4*h Suppose 3*d + 4*h - 26 = 11, 5*d - 3*h - 23 = 0. Let z = -3 + d. Find the third derivative of 3*o**3 + z*o**2 - 2*o**2 - o**3 wrt o. 12 Let w(q) = q**3 - 6*q + 5*q + 0*q**3. Let j(n) = -7*n**4 - 5*n**3 + 7*n. Let x(o) = j(o) + 5*w(o). What is the second derivative of x(g) wrt g? -84*g**2 Differentiate 12*s**4 - 38*s**3 - 12 + 38*s**3 wrt s. 48*s**3 Let q(t) = 2*t - 6. Let z be q(5). Find the first derivative of 0*a + 3 + 5*a - z*a - 4*a wrt a. -3 Let u = 4 - 2. What is the second derivative of -x**4 - 3*x**5 + 3*x**4 - u*x**4 + x wrt x? -60*x**3 Let m = -5 - -7. Find the third derivative of v**4 + 0*v**4 + 0*v**m + 0*v**4 - 2*v**2 wrt v. 24*v Let w(a) be the third derivative of 8*a**2 + 0 - 1/3*a**3 + 0*a + 1/20*a**5 + 0*a**4. What is the first derivative of w(c) wrt c? 6*c Let c = 1 - -9. Let a(u) = u**3 - 9*u**2 - 10*u + 2. Let n be a(c). Differentiate -f + 4 + 4*f - f + n*f wrt f. 4 Suppose 7*v = 5*v. Let c(y) be the second derivative of -y + 1/3*y**3 + v + y**2. Find the first derivative of c(j) wrt j. 2 Let n(l) be the second derivative of 0*l**3 + 0*l**4 - 2*l + 0 - 1/2*l**2 + 1/5*l**5. What is the derivative of n(g) wrt g? 12*g**2 Let c be 2/7 - (-36)/21. Find the third derivative of x**6 + 4*x**c + 2*x**6 - x**2 wrt x. 360*x**3 Find the second derivative of 0*l**2 - l**2 - 2*l**2 - l**2 + 12*l wrt l. -8 Let b(m) = -3*m**3 + 2*m - 6. Let u(w) = -3*w**3 + 3*w - 7. Let n = 6 + -9. Let c(q) = n*b(q) + 2*u(q). Find the first derivative of c(t) wrt t. 9*t**2 Let q(h) be the second derivative of 0 - 1/6*h**4 + 4*h + 0*h**2 + 0*h**3 - 1/20*h**5. Find the third derivative of q(r) wrt r. -6 Let a be (-2)/2*-3 + 189/(-84). Let n(y) be the first derivative of 3*y + 0*y**2 + 0*y**3 - a*y**4 - 1. What is the first derivative of n(d) wrt d? -9*d**2 What is the second derivative of 2*b**2 - 57*b - 10*b**2 - 12*b**5 + 8*b**2 wrt b? -240*b**3 Suppose 2*n = -n - 15. Let f = -4 - n. What is the third derivative of -1 + k**3 + f + 2*k**2 wrt k? 6 Find the first derivative of -16*z**3 + 24 + 44 - 40*z**3 - z**3 wrt z. -171*z**2 Suppose 8*v - 6*v = 6. Find the third derivative of -11*x**3 - v*x**2 - 2*x**2 + 5*x**3 wrt x. -36 Let i(t) = 10*t**2 - 25*t - 5. Let y(s) = -10*s**2 + 25*s + 4. Let m(p) = -4*i(p) - 5*y(p). What is the second derivative of m(l) wrt l? 20 Let g(z) be the first derivative of -2*z**4 - 9*z**2/2 + 4. Find the second derivative of g(n) wrt n. -48*n Let x(k) = k**2 + 3*k + 1. Let r be x(-4). Suppose m = r*y - 28, 3*y + 3*m - 24 = -0*m. What is the second derivative of y*v**4 - 3*v - 4*v**4 + 2*v wrt v? 24*v**2 Let c(a) be the second derivative of -a**7/21 - 3*a**5/20 - a**4/2 - a**3/3 + a - 6. What is the third derivative of c(g) wrt g? -120*g**2 - 18 Let t(q) be the second derivative of -5*q**4/4 - 14*q**3/3 - 12*q. Find the second derivative of t(w) wrt w. -30 Let n(i) be the first derivative of -3/7*i**7 + 0*i**2 + 3 + 0*i**4 + 0*i**6 + 2/3*i**3 + 0*i**5 + 0*i. Find the third derivative of n(u) wrt u. -360*u**3 Suppose -4*o + 0 = -16. Let w be (1 - -9)*2/o. Find the second derivative of -5*h**5 - h + 2*h**w + h**5 wrt h. -40*h**3 Let w(t) be the second derivative of -5*t**4/4 + 7*t**3/3 + 15*t. What is the second derivative of w(s) wrt s? -30 Find the third derivative of 34*j**2 - 28*j**2 - 6*j**6 - 10*j**6 + j**6 wrt j. -1800*j**3 Let d(o) = -o + 6. Let p be d(5). Let s(z) = z**3 - 7*z**2 + 8*z - 9. Let b be s(6). Differentiate 4*a + 0*a - p - a - b wrt a. 3 Let r(v) be the third derivative of v**6/24 + 7*v**5/60 - 10*v**2. Find the third derivative of r(w) wrt w. 30 Let j(i) = -2*i**3 + 4*i**2 - 8*i - 4. Let h(s) = 3*s**3 - 5*s**2 + 9*s + 5. Let b(g) = 4*h(g) + 5*j(g). What is the second derivative of b(w) wrt w? 12*w Suppose 4 = -g + 32. Suppose -4*z + g = 5*a, -z + 6*a - 2*a - 14 = 0. Differentiate z + 3*q - q - 4*q wrt q. -2 Let b(o) = o + 8. Let i be b(-6). Find the third derivative of -2*j**2 + j**5 + 6*j**i - j**2 wrt j. 60*j**2 Let f(v) be the third derivative of v**7/70 - 11*v**5/30 + v**2. Find the third derivative of f(d) wrt d. 72*d Let c(h) be the second derivative of -h**9/1512 - h**6/180 - h**3/2 + 2*h. Let t(s) be the second derivative of c(s). Find the third derivative of t(b) wrt b. -120*b**2 Suppose -2*r + 15 = 3*r, -3*r + 11 = f. What is the second derivative of -p**2 + 4*p + p**2 - 5*p**f wrt p? -10 Suppose 2 = 2*m - m. Let l = 4 - m. Find the third derivative of -4*u**4 - 2*u**2 + l*u**4 + 0*u**2 wrt u. -48*u What is the third derivative of 0*n + 0*n - 29*n**6 + 24*n**6 + 46*n**2 wrt n? -600*n**3 Let j be 6 + 1 - (-3 - -3). Let u = -3 + j. Find the second derivative of 5*v - 4*v - u*v**4 + 2*v**4 wrt v. -24*v**2 Let l = -50 - -51. Let f(r) be the first derivative of -3/2*r**2 + l - 2*r. Find the first derivative of f(g) wrt g. -3 Let m(s) = 3*s - 5. Let q(b) be the first derivative of -b - 1. Let n(a) = -m(a) + 4*q(a). What is the derivative of n(v) wrt v? -3 Suppose 5*u = 8*u + 4*v - 14, 0 = -3*u + v + 4. Let k = 5 + 0. Find the second derivative of 6*b**2 - 2*b**2 - 3*b - 3*b**u + k*b wrt b. 2 Let c(r) be the first derivative of -3*r**2 - r - 7. Differentiate c(z) with respect to z. -6 What is the first derivative of 1352 - 1316 + 0*j - 6*j**3 + 2*j wrt j? -18*j**2 + 2 Let p(v) = -2*v**2 - 11. Let j be (3/6)/(1/(-4)). Let m(z) = z**2 + 5. Let x(o) = j*p(o) - 5*m(o). What is the first derivative of x(h) wrt h? -2*h Let w(j) = j - 1. Suppose -7 - 1 = -2*n. Let b be w(n). What is the second derivative of v - v + 2*v**3 + 3*v - 6*v**b wrt v? -24*v Let s be (-3)/2*16/(-12). What is the third derivative of 20 - 3*z**4 + s*z**2 - 20 wrt z? -72*z Let h(b) = b + 3. Let q be h(4). Let i = q + -4. Find the third derivative of 46 + 4*m**3 - 46 + i*m**2 wrt m. 24 Let k(r) be the third derivative of -1/42*r**7 + 0*r**3 + 0*r**4 - 8*r**2 + 0 + 0*r + 3/20*r**5 + 0*r**6. Find the third derivative of k(c) wrt c. -120*c Let q(y) = 3*y + 0*y + 4*y - 9. Let u(f) be the first derivative of -3*f**2/2 + 4*f + 1. Let a(k) = 2*q(k) + 5*u(k). Find the first derivative of a(j) wrt j. -1 What is the derivative of 16*o**3 - 5*o**3 - 7 - 3 - 6 wrt o? 33*o**2 Let l(k) = -k**2 + 2. Let i(h) = -h**2 + h + 1. Let m(o) = 4*i(o) - 3*l(o). Let f(j) be the first derivative of m(j). Differentiate f(v) wrt v. -2 Let p = 16 - 27. Let a = 10 + -8. Let r(d) = -5*d**4 + 2*d - 3. Let u(t) = -26*t**4 + 11*t - 16. Let v(h) = a*u(h) + p*r(h). Differentiate v(g) wrt g. 12*g**3 Let w(n) be the third derivative of 3*n**7/35 + 25*n**4/24 + 15*n**2. Find the second derivative of w(v) wrt v. 216*v**2 Suppose -19 + 4 = -5*u, -u + 6 = l. What is the second derivative of 2*v**l - 10*v + 2*v**3 + 7*v - v**3 wrt v? 18*v Let z be (-20)/(-4)*(-3)/(-5). Differentiate 8*q**3 + 1 - q**z - 10*q**3 wrt q. -9*q**2 Suppose m + 2*q - 7 = 0, 0 = -5*m + 4*q - 2 + 23. Find the second derivative of 0*g + 3*g + m*g**3 - 2*g**3 wrt g. 18*g Let d(o) be the second derivative of o**6/120 + o**5/60 - o**3/6 + o. Let q(t) be the second derivative of d(t). What is the second derivative of q(l) wrt l? 6 Let n(x) be the second derivative of -x**3 + 4*x - 1/2*x**4 + 0 + 0*x**2. What is the second derivative of n(d) wrt d? -12 Let u(p) = -3*p**2 - 6*p - 14. Let j(g) = 6*g**2 + 11*g + 27. Let z(o) = 6*j(o) + 11*u(o). Differentiate z(d) with respect to d. 6*d Suppose -2 = -2*p, -f + 0*p + p - 5 = 0. Let g(x) = x
{ "pile_set_name": "DM Mathematics" }
in increasing order. -1/6, 5, d Let o = 88 - 90. Let d = -26/25 + 88/75. Sort o, d, -0.5 in descending order. d, -0.5, o Let n = 56.9 + -56.7. Sort -0.1, 5, n, 1/9 in increasing order. -0.1, 1/9, n, 5 Let s = 0.46 - -1.48. Let g = 0.54 - s. Let w = 2 - 3. Sort -4, w, g in decreasing order. w, g, -4 Let b = 222 + -225. Sort -1, -5, 5, b in decreasing order. 5, -1, b, -5 Let y be (2 + 10/(-3))*-3. Let s be (-5)/(10/y) - -1. Suppose 2*u - 5*u - 28 = 4*c, 3*c + 21 = -2*u. Sort 3, s, c. c, s, 3 Let a = 3.07 - 0.07. Let w = a + -3.2. Suppose -24 = -7*c + 13*c. Sort w, -0.4, c. c, -0.4, w Suppose 260 = 2*t + 11*t. Let g(z) = z**2 - 17*z - 62. Let v be g(t). Put -1, v, 0, 2 in ascending order. v, -1, 0, 2 Suppose 3*x - 39*z + 35*z = -142, 2*x + z + 91 = 0. Sort 3, x, -1 in ascending order. x, -1, 3 Suppose 0 = 4*l - m + 18, -m - 4*m - 10 = 0. Let w = 16 - 11. Let x = w - 4. Sort x, l, 5 in descending order. 5, x, l Let k = -1248 - -1252. Sort 2, k, -13, 5 in descending order. 5, k, 2, -13 Suppose 0 = 2*s + s + 4*n - 9, s - 8 = -3*n. Let j(z) = -z**3 + 8*z**2 - 5*z - 13. Let a be j(7). Sort 10, 2, s, a in decreasing order. 10, 2, a, s Let q be 3*(-4)/6*(-33)/(-22). Let i(g) = g**3 + g**2 + g + 3. Let d be i(0). Suppose 0 = 5*w - 20, v = d*w + 3 - 10. Put 2, q, v in descending order. v, 2, q Let s(i) be the second derivative of 0 + 2*i + 3/2*i**3 + 1/12*i**4 + 2*i**2. Let y be s(-8). Put -2, y, 3 in decreasing order. 3, -2, y Let p = 517 + -531.95. Let n = 15 + p. Let z be (-30)/(-56) + 4/(-14). Sort 3/5, n, z in ascending order. n, z, 3/5 Let o = -2.99 - 0.01. Let u = 67.395 - 0.795. Let g = -67 + u. Sort -4, o, g in increasing order. -4, o, g Suppose -2*p - 5*y - 17 = 0, 2*y + 3*y + 20 = -5*p. Put 4/7, -2, 13, p in ascending order. -2, p, 4/7, 13 Let i = 6 + -2. Suppose i*k - 7 - 1 = 0. Put k, 1, -1 in increasing order. -1, 1, k Let i = 324/1085 + -2/155. Let z = 71197/9 - 7911. Sort i, -0.5, z in descending order. i, z, -0.5 Suppose 0 = -4*t - 5*t - 81. Put 5, 1, t in descending order. 5, 1, t Let b be (-99)/6*24/(-84) - 5. Let v be ((-2)/7)/((-6)/9). Sort b, v, -1. -1, b, v Let g = -1.5 - -1.5. Let q = -57.02 - -57. Sort q, 2/7, g in decreasing order. 2/7, g, q Let r = 1.847 - -0.153. Sort -2, 0, r, -5. -5, -2, 0, r Let o = 34.5 + -35. Let u = o + 2.7. Let w = u - 2.17. Put w, -0.3, -2/19 in increasing order. -0.3, -2/19, w Suppose -l - 64 = -4*w, w - 2 = -l + 9. Suppose -5*p = -w - 0. Put 0, p, 6 in descending order. 6, p, 0 Let t be (-2)/4*(69 - 11). Let d = t - -20. Suppose 3*p + 2*s - 9 = 0, -2*s - 17 = -4*p + 9. Put 0, p, d in ascending order. d, 0, p Let x be 0 + (-3)/(-6)*8/38. Sort 1, 0.2, 8, x in decreasing order. 8, 1, 0.2, x Let v = 0.864 - 1.364. Let z = -125/84 + -1/84. Sort v, 2/13, z, -1 in decreasing order. 2/13, v, -1, z Let v(x) = -2*x**2 + 9*x + 5. Let g be v(5). Suppose 5*l - 6*l = g. Suppose l = 9*w - 10*w + 3. Sort w, -2, -5. -5, -2, w Suppose 664 = -7*g + 517. Put 6, 3, g in descending order. 6, 3, g Let z be 9/(-13)*68/204. Put z, 1, 3, -3/5 in decreasing order. 3, 1, z, -3/5 Let n be ((-88)/3)/(18/54). Let w be n/165 + 1/5. Sort 4/9, w, 8. w, 4/9, 8 Let l = 138 - 137.8. Sort 86/3, l, -1, -0.1 in descending order. 86/3, l, -0.1, -1 Let p = -127/2 - -64. Let r(v) = v**2 + 4*v - 1. Let q be r(-6). Put -2, q, p in descending order. q, p, -2 Let v = 32 + -28. Let n(p) = 2*p - 1. Let i be n(0). Sort v, 0, i in increasing order. i, 0, v Let w = 58 - 93. Let j be (-2)/6*((-9)/3 - -96). Let u = w - j. Sort -3, u, -12 in ascending order. -12, u, -3 Let d = 2.03 - 2. Let q = -3358 - -3362. Sort -3, 1, q, d. -3, d, 1, q Let o(j) = -103*j - 1131. Let z be o(-11). Sort 4, z, -21 in increasing order. -21, z, 4 Let g = -268.3 - -268. Sort 3/4, g, 5 in descending order. 5, 3/4, g Suppose t = 2*t + 4, 3*i = -5*t - 20. Let l(n) = n**2 + 4. Let z be l(i). Put 5, -4, 2, z in descending order. 5, z, 2, -4 Suppose 0 = 22*w - 21*w - 3*x - 4, 4*x + 1 = w. Sort w, 2/3, 9, -1/4 in decreasing order. w, 9, 2/3, -1/4 Suppose 0 = 2*r - 2*v, -3*v + 6 = -5*r - 0. Let f be (5/2)/((-1)/(-2)). Let t = 211 - 212. Put r, f, t in descending order. f, t, r Let o = 1.054 - 0.741. Let x = o - 0.113. Let t = -3 - 1. Sort -1/10, t, x in descending order. x, -1/10, t Let y = -327.7 - -360. Let a = y + -32. Let l = 1.3 - a. Sort -5, 11, l in decreasing order. 11, l, -5 Let j be 25/5 - (0 + 3). Suppose 12 = j*o + 4*p, 0 = 2*o - o + p - 3. Sort -5, o, 1/4 in descending order. 1/4, o, -5 Suppose i = 4*x - 3*x + 1, -2*i + 4*x - 6 = 0. Suppose i*b + r + 6 = b, -5*r - 9 = -b. Sort b, 2, 1, 4/3 in ascending order. b, 1, 4/3, 2 Let f = -11 - -3. Let z be (10/6)/(f/(-24)). Sort -3, -1, z. -3, -1, z Suppose -6*v + 786 = -9*v + 5*x, -5*v = -4*x + 1297. Sort 3, v, 0 in ascending order. v, 0, 3 Let h = 0.8 + 0.2. Let j = -2 - h. Let c = 166/7 + -657/28. Sort c, j, 2/13 in decreasing order. c, 2/13, j Let f = -0.116 + -0.384. Sort -3, f, -1, -15 in descending order. f, -1, -3, -15 Suppose 2*t + 0 = -4. Let h = 3/118 + 171/236. Put t, 4, h in descending order. 4, h, t Let c be (-14)/7 + 4 + -2. Put c, 6, 0.07 in ascending order. c, 0.07, 6 Let p = -2.04 + 0.04. Let a = -6 - p. Sort a, 0.2, 4 in descending order. 4, 0.2, a Let w be 1 + (-1)/(5 + -6 + 2). Put w, -26/7, 2/11 in decreasing order. 2/11, w, -26/7 Let l = 47 + -48.6. Let u = -1.9 - l. Sort -2, u, 1/4. -2, u, 1/4 Let b = 1.045 + 1.955. Let n = -0.4 - -0.6. Sort 5, b, n, -4. -4, n, b, 5 Let v = 22 - 17. Let p be ((-4)/6)/((-10)/15). Let z be (-1)/((p + 3)/12). Sort z, v, 3. z, 3, v Let o = 6 + -4. Suppose -78*q - 212 = -1382. Sort 0, o, q. 0, o, q Suppose -2*b + 9 = -5*b. Let c be -5*2/(-6) + (-48)/72. Let m be (-5)/(-15) + 3/(-18). Sort m, c, b in descending order. c, m, b Let j = 343 + -341. Sort -4, j, -8 in descending order. j, -4, -8 Let z = -8.3 + 8. Let h be 36/(-12) + (1 - 10364/(-5850)). Let j = 2/325 + h. Sort j, -0.2, z in descending order. -0.2, j, z Suppose 3*y = 95 - 26. Let k = 27 - y. Put 3, 5, k in descending order. 5, k, 3 Suppose 0 = 42*i - 43*i + 3. Let h = -2 - -6. Suppose h + 5 = i*v. Put -3, v, -2 in increasing order. -3, -2, v Let r = -4.7 + 4.8. Sort -0.02, -9, r in descending order. r, -0.02, -9 Suppose -4*l = a - l - 14, -l + 4 = 0. Let i be (a*-2)/2*(8 + -4). Put 5, 0, i in increasing order. i, 0, 5 Let h be (2/4)/((-1)/2). Let w(x) = -5*x - 1. Let p be w(2). Let b = -10 - p. Put 2, b, h in ascending order. h, b, 2 Let j = 0.816 + 4.184. Put 2/15, j, -4, -8 in increasing order. -8, -4, 2/15, j Suppose 4*c = -3 + 7. Let z = -55 - -58. Suppose z*d + 15 = -3*r, 2*r + d + 6 = 3*d. Put -3, r, c in decreasing order. c, -3, r Let q(u) = -2*u**2 - 3*u + 2. Let f be q(1). Put -4, f, 5, 2 in ascending order. -4, f, 2, 5 Let f = -1133 - -5697/5. Let t = -6 + f. Let x = 1.2 + -1. Put -0.1, t, x in descending order. t, x, -0.1 Let m = 163270687/241918 + 251/8342. Let s = m - 675. Sort 2/7, s, -1/4 in descending order. 2/7, s, -1/4 Suppose -4*p = 3 - 15. Sort -2, p, 5, 4 in increasing order. -2, p, 4, 5 Let v = 7.3 - -3.7. Let g = 12 - v. Let o = 14 - 14.5. Put g, 5, o in increasing order. o, g, 5 Let u = -1446 + 1489. Sort 5, 0, u, 1/2 in decreasing order. u, 5, 1/2, 0 Let t = -3.7 - 14.3. Let n = t - -18.1. Sort -1, n, 3 in descending order. 3, n, -1 Suppose 14 = -4*k - 5*o, 3*k - 12*o = -15*o - 12. Put 4, -8, k in increasing order. -8, k, 4 Let f = 46 + -54. Put -5, f, 0, 5 in descending order. 5, 0, -5, f Let u = -0.181 + 0.22. Let i = -4.961 - u. Put -1, 0.5, 1/5, i in increasing order. i, -1, 1/5, 0.5 Let p = 40 - 36.2. Let i = -3.6 - -2.4. Let h = i - p. Sort 0, 2, h in ascending order. h, 0, 2 Let p = -520 + 517. Put -2/23, 0, p in decreasing order. 0, -2/23, p Let o be 630/(-75) + (6/15 - 0). Sort 1, o, -6, 3. o, -6, 1, 3 Let h = 289 + -293. Sort h, -9, -1/2. -9, h, -1/2 Suppose -15*j = 3*j + 72. Let y be (-1)/(-2)*(-24)/12. Sort -9, j, y. -9, j, y Suppose 40*n - 7*n = n. Let t = 4.8 + 1.2. Let d = t + -2. Put n, d, 3 in increasing order. n, 3, d Let d = 16 - 13. Suppose 0 = -4*c + 11 - d. Suppose 0 = s + c - 1. Sort s, 1, 2 in descending order. 2, 1, s Let c = 16.2 + -16. Let b be (-4)/((-48)/27) + -1. Let j = 5/2 - b. Put j, -4, c in decreasing order. j, c, -4 Let i be -10*7*2/28. Let u(h) = h**3
{ "pile_set_name": "DM Mathematics" }
(d) = -48*d + 14. Let t(v) = 15*v - 4. Let h(u) = 4*p(u) + 14*t(u). Let c(k) = -12*k. Determine c(h(z)). -216*z Let j(o) be the second derivative of 17*o**4/4 + 5*o + 12. Let v(f) = -2*f. Give j(v(p)). 204*p**2 Let h(r) = 6*r**2. Let d(w) = -2*w**3 + 11*w**2 + 6*w + 3. Let j be d(6). Let a(q) = 4*q - j*q**2 - 3*q - q. What is a(h(u))? -108*u**4 Let v(p) = -12*p. Let j(o) = -11*o. Let l(a) = 6*j(a) - 5*v(a). Let q(u) = -4*u**2. Determine l(q(c)). 24*c**2 Let b(d) be the first derivative of d**3 + 66. Let p(c) = -6*c**2. What is p(b(o))? -54*o**4 Let l be 3/((-2)/(-3*2)). Let u = -7 + l. Let o(m) = u*m**2 + 0*m**2 + 4*m**2. Let z(c) = c. Determine o(z(h)). 6*h**2 Let t(w) = -w**2. Let h = 4 - 0. Suppose -c + h*c - 4 = -4*s, -3*c + 4*s = 4. Let z(v) = 6*v + c*v + 11*v**2 - 6*v. Determine t(z(k)). -121*k**4 Let x(q) = -2*q**2. Let g(u) = -u + 3. Let w(r) = -74*r + 4. Let y(z) = g(z) - w(z). Calculate y(x(a)). -146*a**2 - 1 Let m(h) be the third derivative of h**5/30 + 7*h**2 + 2*h. Let z(s) be the second derivative of 3*s**3 + 11*s. Give m(z(b)). 648*b**2 Let x be (-36)/(-15) + (-4)/10. Let v(n) = 3*n - 6*n + x*n. Let y(k) = -2*k + 8*k - 5*k. Give y(v(h)). -h Let x(p) = -p. Let t(i) = 2*i + 5. Suppose 0 = -3*z + c - 14, 6*c + 9 = -z + 2*c. Let n(v) = v + 3. Let m(s) = z*n(s) + 3*t(s). What is m(x(o))? -o Let u(r) = 8*r**2. Let s(t) be the first derivative of 9*t**2 - 111. Calculate s(u(o)). 144*o**2 Let f(a) = -2*a. Let m = -399 + 399. Let l(h) be the second derivative of 0*h**2 + 4*h + m + 1/2*h**3. Give l(f(o)). -6*o Let d be (-11)/((3/3)/(-3)*3). Let l(a) = -8*a + d*a + a. Let n(q) = 5*q. What is n(l(z))? 20*z Let m(w) = -5*w. Let q(t) be the first derivative of -7*t**3/3 + 27*t - 28. Let l(p) be the first derivative of q(p). Calculate m(l(k)). 70*k Let d(g) be the first derivative of 0*g - 7 - 4/3*g**3 + 0*g**2. Let k(o) = -o**2. Give k(d(f)). -16*f**4 Let a(w) be the third derivative of 5*w**4/12 - w**3/2 - 11*w**2. Let s(g) = -9*g + 2. Let d(j) = 2*a(j) + 3*s(j). Let f(p) = -2*p. Determine f(d(t)). 14*t Let g(m) = -8*m + 12*m + 51*m. Let t(i) = 5*i. What is t(g(u))? 275*u Let f(z) = 4*z**2 - 10*z - 2. Let q(l) = -8*l - 4. What is f(q(s))? 256*s**2 + 336*s + 102 Let h(f) = -451*f**2 + 2. Let o(w) = 171*w. Give h(o(q)). -13187691*q**2 + 2 Let v(m) = 2156*m. Let c(i) = 2*i. Determine v(c(u)). 4312*u Let g(a) = 352364*a. Let u(c) = 2*c. Give g(u(r)). 704728*r Let o(m) = 7 + m**2 - 8 + 1. Suppose 22 = 3*y - 17. Let r(l) = -4 + 1 - y*l**2 + 3. Determine r(o(j)). -13*j**4 Let b(m) = m**2. Let h(t) = -380*t + 50. Calculate b(h(u)). 144400*u**2 - 38000*u + 2500 Let v(c) = -3*c**2. Let i be 2/4 + 35/14. Let t(l) = -l**2 + 2*l + 2. Let d be t(2). Let q(a) = i*a**d - 2*a**2 + 3*a**2. Calculate v(q(g)). -48*g**4 Let f(n) be the first derivative of -n**3/3 - 393. Let k(g) = -2*g**2 - 5*g**2 + 4*g**2. Determine f(k(r)). -9*r**4 Let u(x) = 9*x**2. Let g(a) = 387*a - 16*a**2 - 189*a - 198*a. What is g(u(p))? -1296*p**4 Let w(y) = -4*y**2. Suppose 2*v + 4 + 4 = 0. Let l(a) = -2*a**2. Let t(p) = -3*p**2. Let k be 3 - -1*0*1/(-4). Let u(h) = k*t(h) + v*l(h). What is w(u(r))? -4*r**4 Let a(m) = 158*m. Let b(u) = 7*u**2 - 5*u**2 - u**2. Calculate b(a(s)). 24964*s**2 Let r(g) = 529*g**2 + 10*g. Let v(q) = 49198*q**2 + 935*q. Let y(a) = 374*r(a) - 4*v(a). Let j(d) = -d**2. What is j(y(l))? -1110916*l**4 Let f(a) be the third derivative of -a**5/15 + 2*a**3/3 + 40*a**2 + 5*a. Let u(q) = 3*q**2. Calculate f(u(p)). -36*p**4 + 4 Let y(o) be the first derivative of o**3 + 36. Let i(u) = 131*u**2. Give i(y(b)). 1179*b**4 Let v(t) = -t. Let r(o) = o**3 - 15*o**2 + 13*o + 19. Let j be r(14). Let z(n) = 7*n**2 + j*n**2 - 37*n**2. What is z(v(w))? -25*w**2 Let n(d) = -11*d**2. Let s(v) = 1933*v**2. Determine n(s(i)). -41101379*i**4 Let t(d) = -18*d**2. Suppose 5*h = -v + 7, -4*v - 2*h = -h - 9. Let u(i) = 25*i**v - 21*i**2 + 5 - 5. What is u(t(a))? 1296*a**4 Let m(t) = -t**2. Let v(z) = 289986*z**2. What is m(v(w))? -84091880196*w**4 Let x(s) = 794*s. Let r(j) = -2*j**2 - 1851*j. Determine x(r(n)). -1588*n**2 - 1469694*n Let f(i) = -4*i**2. Let j(n) = 30*n - 24. Let u(a) = 22 - 6*a + 15 - 32. Let o(l) = 5*j(l) + 24*u(l). Calculate o(f(p)). -24*p**2 Let g(x) = -2*x + 7501. Let m(c) = -3*c. Determine g(m(u)). 6*u + 7501 Let g(q) = q**2. Let n(a) = -7*a + 15*a - 1 - 20*a - 32*a - 6*a. What is g(n(d))? 2500*d**2 + 100*d + 1 Let y(l) be the second derivative of l**7/1260 + 25*l**4/12 + 28*l. Let p(k) be the third derivative of y(k). Let j(g) = 4*g. What is j(p(d))? 8*d**2 Let x(w) = w**2 + 7*w + 7. Let n(h) = -h**2 - 6*h - 6. Let q(f) = 7*n(f) + 6*x(f). Let u(o) = 2*o - 119. Determine q(u(k)). -4*k**2 + 476*k - 14161 Let k(l) = 23*l**2. Let t(b) = 50*b + 1. Calculate t(k(o)). 1150*o**2 + 1 Let w(l) = 5*l. Let i(c) = 3*c - 63. Let f(k) = 2*k - 63. Let z(p) = 5*f(p) - 4*i(p). Give w(z(b)). -10*b - 315 Suppose 0*t = -4*t, 2*x = -2*t + 10. Let f(h) = 26 + x*h**2 - 50 + 24. Let l(c) = 0*c - c - c. Calculate f(l(s)). 20*s**2 Let n(v) be the second derivative of -1/12*v**4 + 0*v**2 + 11*v + 0 + 0*v**3. Let a(i) = 12*i**2. Calculate a(n(z)). 12*z**4 Let k(q) = 54*q**2 + 42 - 9 + 67*q**2 + 22*q**2. Let n(b) = -9*b**2 - 2. Let i(j) = -2*k(j) - 33*n(j). Let c(v) = -v**2. What is i(c(t))? 11*t**4 Let c(i) = 2*i. Let f(r) be the third derivative of r**7/5040 + 17*r**5/60 + 10*r**2. Let p(q) be the third derivative of f(q). Determine p(c(s)). 2*s Let r(g) be the first derivative of -g**2 - 437. Let i(h) be the first derivative of -43*h**2/2 + 2. Determine i(r(m)). 86*m Let z(c) = 8*c**2. Let b(q) = 142*q - 97*q - 39*q. Give z(b(u)). 288*u**2 Let w(k) = -5*k + 9*k - 2*k - 11*k. Let l(h) = 5*h**2. Calculate w(l(n)). -45*n**2 Let c(j) = j**2. Let d(b) = -3*b - 3. Let h(a) = -2*a - 1. Let z(m) = -d(m) + 3*h(m). Determine c(z(o)). 9*o**2 Let y(b) = b**2 + 11. Let n(r) = 1482*r. Give n(y(d)). 1482*d**2 + 16302 Let v(p) = 582*p. Let w(r) = 225*r**2. Determine v(w(a)). 130950*a**2 Suppose 50*d - 1340 = 48*d. Let w(y) = -d + 670 + 3*y**2. Let f(o) = 2*o. What is w(f(j))? 12*j**2 Let a(h) = 16*h**2 + 40*h + 40. Let f(c) = -c - 1. Let g(r) = r - 48. Let j be g(8). Let v(q) = j*f(q) - a(q). Let u(m) = 0*m + 4*m - 5*m. Determine v(u(y)). -16*y**2 Let f(h) = h. Let k(j) = -94539*j. Determine k(f(r)). -94539*r Let t(o) = -o. Let u be 1*1/8 - 2/16. Let f(a) be the third derivative of -1/3*a**5 + u*a**3 + 0*a**4 + 0*a + 3*a**2 + 0. Determine f(t(j)). -20*j**2 Let s(x) be the first derivative of 188*x**3 - 503. Let v(b) = 2*b**2. Calculate s(v(j)). 2256*j**4 Suppose 0 = 4*i - 10 + 2. Let x be (i/(-1) - -2) + 2. Let j(a) = 0*a + a - x*a. Let w(n) = -9*n**2. Give w(j(v)). -9*v**2 Let x(v) = 812*v. Let c(o) = 7*o + 1. Give x(c(w)). 5684*w + 812 Let q(c) = 27030*c**2. Let y(g) = g**2. Give y(q(z)). 730620900*z**4 Let m(r) = -18*r - 10. Let f(z) = 377*z + 208. Let b(p) = -5*f(p) - 104*m(p). Let n(t) = t. Calculate b(n(j)). -13*j Let y(u) = -2*u + u - 20*u + 21*u + u**2. Let b(t) be the third derivative of -t**5/4 + 3*t**2. Give b(y(h)). -15*h**4 Let c(g) = g. Let t(a) = -5*a - 9. Let m(j) be the second derivative of j**3/3 + 2*j**2 + 20*j. Let f(l) = -9*m(l) - 4*t(l). What is f(c(o))? 2*o Let g(a) = -7183*a. Let p(z) = 3*z**2. Calculate p(g(c)). 154786467*c**2 Let k(d) = -d**2 - 162. Let f(o) = o**2 + 162. Let y(m) = 4*f(m) + 3*k(m). Let g(x) = -2*x. Calculate g(y(w)). -2*w**2 - 324 Let x(g) be the third derivative of g**5/60 - 13*g**3/6 + 9*g**2. Let u(h) be the first derivative of x(h). Let s(a) = 22*a**2. Determine s(u(t)). 88*t**2 Let k(v) = -8*v - 2. Let x(r) be the first derivative of -7*r**2/2 - 2*r + 44. Let p(z) = 5*k(z) - 6*x(z). Let m(f) = 2*f. Give m(p(l)). 4*l + 4 Let x(w) = 4*w. Let v(z) = -11*z. Let j(u) = 2*v(u) + 5*x(u). Let d(y) = -49*y**2 + 3*y. Give d(j(h)). -196*h**2 - 6*h Suppose -4*s = 5*u + 17, 2*u = -36*s + 32*s - 2. Let y(g) be the first derivative of 0*g - s - 1/2*g**2. Let h(v) = 19*v. Calculate y(h(t)). -19*t Let i(f) be the second derivative of 0*f**4 + 1/60*f**5 + 0*f**3 + 0 - 3*f - f**2. Let g(j) be the first derivative of i(j). Let z(k) = k. Determine z(g(r)). r**2 Let o(m) = 4*m - 9. Let t(s) = 2*s - 4. Let a(c) = -4*o(c) + 9*t(c). Let l(j) = -j. Let y(d) = -a(d) - l(d). Let b(
{ "pile_set_name": "DM Mathematics" }
5 + 16*s**2/5 - 4*s/5 = 0 for s. 0, 2/3, 1, 2 Let -25*w**2/2 - 55*w - 20 = 0. Calculate w. -4, -2/5 Suppose -15*p**3 - 3339*p**2 - 21342*p + 9072 = 0. What is p? -216, -7, 2/5 Let -3*b**3 - 285*b**2 - 561*b - 279 = 0. Calculate b. -93, -1 Factor 5*k**2/2 - 195*k/2 - 100. 5*(k - 40)*(k + 1)/2 Let -5*x**5 - 105*x**4 - 265*x**3 + 105*x**2 + 270*x = 0. Calculate x. -18, -3, -1, 0, 1 Find a such that -5*a**2 - 110*a - 605 = 0. -11 Factor -2*s**2/5 - 2664*s/5 - 887112/5. -2*(s + 666)**2/5 Solve 3*x**3/7 - 102*x**2/7 + 99*x/7 = 0. 0, 1, 33 Factor -3*t**3 + 12*t**2 + 3*t - 12. -3*(t - 4)*(t - 1)*(t + 1) Solve 21*l**3/4 - 65*l**2/4 + 12*l - 1 = 0. 2/21, 1, 2 Solve 4*w**2 + 3052*w - 6120 = 0. -765, 2 Factor -z**3/8 + 19*z**2/8 - 49*z/4 + 10. -(z - 10)*(z - 8)*(z - 1)/8 Factor 5*z**3 - 485*z**2 + 12000*z - 11520. 5*(z - 48)**2*(z - 1) Determine o, given that 145*o**4 - 10*o**3 - 435*o**2 - 260*o + 20 = 0. -1, 2/29, 2 Solve 4*l**5/5 + 18*l**4/5 - 158*l**3/5 + 288*l**2/5 - 152*l/5 = 0 for l. -19/2, 0, 1, 2 Suppose -3*l**4/7 - 15*l**3/7 + 3*l**2/7 + 15*l/7 = 0. Calculate l. -5, -1, 0, 1 Factor d**2/3 + 22*d/3 + 7. (d + 1)*(d + 21)/3 Let -4*z**3/3 - 16*z**2 - 44*z/3 = 0. What is z? -11, -1, 0 Factor -5*s**4/3 + 9*s**3 - 10*s**2 + 8*s/3. -s*(s - 4)*(s - 1)*(5*s - 2)/3 Factor 3*t**2/2 + 75*t + 504. 3*(t + 8)*(t + 42)/2 Let 2*n**2 + 977*n - 489 = 0. Calculate n. -489, 1/2 Let -2*z**3/17 - 72*z**2/17 - 70*z/17 = 0. Calculate z. -35, -1, 0 Let 2*p**5/15 + 2*p**4/15 - 2*p**3/5 - 2*p**2/3 - 4*p/15 = 0. Calculate p. -1, 0, 2 What is m in m**4/2 + 13*m**3 - 58*m**2 + 60*m = 0? -30, 0, 2 Find u, given that -u**4/5 - 21*u**3/5 - 81*u**2/5 + 149*u/5 + 42 = 0. -15, -7, -1, 2 Determine b so that b**5 + 13*b**4 + 60*b**3 + 112*b**2 + 64*b = 0. -4, -1, 0 Factor 2*o**5 + 10*o**4 - 2*o**3 - 34*o**2 + 24*o. 2*o*(o - 1)**2*(o + 3)*(o + 4) Solve 2*j**3/19 - 568*j**2/19 + 2030*j + 252300/19 = 0 for j. -6, 145 Factor -2*j**3/5 - 72*j**2/5 - 318*j/5 - 248/5. -2*(j + 1)*(j + 4)*(j + 31)/5 Factor -2*d**3 - 6*d**2 + 8. -2*(d - 1)*(d + 2)**2 Suppose -8*h**5/3 + 254*h**4/3 - 856*h**3/3 + 442*h**2/3 + 56*h = 0. What is h? -1/4, 0, 1, 3, 28 Factor -2*l**4 + 104*l**3 + 214*l**2 + 108*l. -2*l*(l - 54)*(l + 1)**2 What is z in 3*z**4 + 90*z**3 - 192*z**2 = 0? -32, 0, 2 Find p such that 5*p**2 + 90*p - 95 = 0. -19, 1 Let -3*a**5/4 - 3*a**4/2 + 51*a**3/4 + 105*a**2/2 + 69*a + 30 = 0. What is a? -2, -1, 5 Factor 3*a**4/2 + 21*a**3/2 + 15*a**2. 3*a**2*(a + 2)*(a + 5)/2 Let -2*p**3/5 + 38*p**2/5 - 48*p + 504/5 = 0. What is p? 6, 7 Factor 2*s**4/7 + 8*s**3/7 - 32*s/7 - 32/7. 2*(s - 2)*(s + 2)**3/7 Factor 2*t**3/7 + 50*t**2/7. 2*t**2*(t + 25)/7 Suppose 6*i**5/5 + 144*i**4/5 + 846*i**3/5 + 1284*i**2/5 + 576*i/5 = 0. Calculate i. -16, -6, -1, 0 Factor -2*b**3/7 + 212*b**2/7. -2*b**2*(b - 106)/7 Factor -2*s**2/7 - 18*s/7 - 40/7. -2*(s + 4)*(s + 5)/7 Factor 4*s**5 - 48*s**4 + 184*s**3 - 240*s**2 + 100*s. 4*s*(s - 5)**2*(s - 1)**2 Factor -3*g**2 - 285*g + 288. -3*(g - 1)*(g + 96) Let 2*r**5 + 46*r**4 + 42*r**3 - 46*r**2 - 44*r = 0. Calculate r. -22, -1, 0, 1 Find o, given that -4*o**5/3 + 28*o**4/3 - 16*o**3 - 64*o**2/3 + 256*o/3 - 64 = 0. -2, 2, 3 Factor 3*g**4/2 - 9*g**3 + 33*g + 45/2. 3*(g - 5)*(g - 3)*(g + 1)**2/2 Determine z, given that -25*z**5 + 1970*z**4 - 8930*z**3 + 3460*z**2 + 17715*z + 3330 = 0. -1, -1/5, 3, 74 Determine p so that -16*p**5/5 + 12*p**4/5 + 948*p**3/5 + 2012*p**2/5 + 1308*p/5 + 216/5 = 0. -6, -1, -1/4, 9 Factor -4*f**5 - 88*f**4 + 360*f**3 + 1568*f**2 + 1724*f + 600. -4*(f - 6)*(f + 1)**3*(f + 25) Factor 2*r**2/9 + 7622*r/9 + 2540/3. 2*(r + 1)*(r + 3810)/9 Factor -3*h**5 + 99*h**4 + 102*h**3. -3*h**3*(h - 34)*(h + 1) What is v in -3*v**3 + 42*v**2 + 216*v = 0? -4, 0, 18 Factor 5*i**3 + 80*i**2 + 420*i + 720. 5*(i + 4)*(i + 6)**2 Find h, given that -6*h**3 + 219*h**2 - 708*h + 495 = 0. 1, 5/2, 33 Solve -k**2 + 28*k - 52 = 0 for k. 2, 26 Suppose -3*n**2 - 111*n - 108 = 0. What is n? -36, -1 Let -s**2/8 + 13*s/8 + 7/4 = 0. Calculate s. -1, 14 Determine v, given that 4*v**5 - 2020*v**4 + 2008*v**3 + 4032*v**2 = 0. -1, 0, 2, 504 Suppose p**5 - 19*p**4 + 33*p**3 + 19*p**2 - 34*p = 0. What is p? -1, 0, 1, 2, 17 Find g such that 3*g**3/5 - 18*g**2/5 - 21*g/5 = 0. -1, 0, 7 Factor 5*f**3 - 5*f**2 - 50*f - 40. 5*(f - 4)*(f + 1)*(f + 2) Factor 5*t**4 - 200*t**3 + 2185*t**2 - 3610*t. 5*t*(t - 19)**2*(t - 2) Factor -3*a**2/5 + 3*a + 18/5. -3*(a - 6)*(a + 1)/5 Find m such that -2*m**4/5 + 2*m**3 - 12*m**2/5 = 0. 0, 2, 3 Solve -4*s**3 + 316*s**2 - 3680*s - 110032 = 0 for s. -13, 46 Factor -4*g**3/7 + 4*g**2/7 + 32*g/7 - 48/7. -4*(g - 2)**2*(g + 3)/7 Factor l**3/4 + 3*l**2 + 27*l/4. l*(l + 3)*(l + 9)/4 What is f in -f**3/7 - 15*f**2/7 + 16*f/7 = 0? -16, 0, 1 Let 2*i**4 - 102*i**3 + 1518*i**2 - 5290*i = 0. What is i? 0, 5, 23 Determine g so that g**3/5 + 84*g**2/5 + 369*g + 3362/5 = 0. -41, -2 Suppose 4*k**5 - 10*k**4 - 16*k**3 + 34*k**2 - 12*k = 0. What is k? -2, 0, 1/2, 1, 3 Factor -c**3/3 - 332*c**2/3 - 27556*c/3. -c*(c + 166)**2/3 What is c in c**2 - 1492*c + 556516 = 0? 746 Solve -2*l**2/5 - 8*l/5 - 8/5 = 0. -2 Find n such that 3*n**3 - 45*n**2/4 + 27*n/4 = 0. 0, 3/4, 3 Factor z**4/5 - 259*z**3/5 + 16108*z**2/5 + 86064*z/5 + 69696/5. (z - 132)**2*(z + 1)*(z + 4)/5 Factor l**2/4 + 5*l/4 - 525/2. (l - 30)*(l + 35)/4 Factor m**3 + 105*m**2 + 3675*m + 42875. (m + 35)**3 Factor 3*m**2 + 8817*m. 3*m*(m + 2939) Factor p**3 - 9*p**2 + 24*p - 20. (p - 5)*(p - 2)**2 Find m such that -5*m**5 + 45*m**4 + 10*m**3 - 90*m**2 - 5*m + 45 = 0. -1, 1, 9 Determine a, given that 2*a**4 + 6*a**3 - 270*a**2 + 514*a - 252 = 0. -14, 1, 9 Factor 88*k**4 + k**3 - 88*k**2 - k. k*(k - 1)*(k + 1)*(88*k + 1) Factor -5*v**3 - 125*v**2 - 340*v - 220. -5*(v + 1)*(v + 2)*(v + 22) Factor 15*v**3 + 57*v**2 + 66*v + 24. 3*(v + 1)*(v + 2)*(5*v + 4) Factor 2*s**3 - 48*s**2 + 280*s. 2*s*(s - 14)*(s - 10) Solve 4*h**4 - 36*h**3 + 32*h**2 = 0. 0, 1, 8 Factor -6630625*w**2 - 10300*w - 4. -(2575*w + 2)**2 Factor -5*v**3 + 10*v**2 + 65*v + 50. -5*(v - 5)*(v + 1)*(v + 2) Find a, given that 208*a**3/15 + 2*a**2/5 - 208*a/15 - 2/5 = 0. -1, -3/104, 1 Factor 2*a**2/5 + 116*a/5 + 714/5. 2*(a + 7)*(a + 51)/5 Find n such that n**5/4 + 3*n**4/2 + 3*n**3 + 5*n**2/2 + 3*n/4 = 0. -3, -1, 0 Factor 4*b**3 + 376*b**2 + 9200*b + 16928. 4*(b + 2)*(b + 46)**2 Let 2*w**5/3 + 20*w**4 + 18*w**3 - 116*w**2/3 = 0. Calculate w. -29, -2, 0, 1 Determine x, given that 12*x**5/7 + 9*x**4 - 141*x**3/7 + 45*x**2/7 + 3*x = 0. -7, -1/4, 0, 1 Suppose 5*x**4 - 30*x**3 + 40*x**2 = 0. What is x? 0, 2, 4 Factor 3*b**3/2 + 11*b**2/2 + 3*b. b*(b + 3)*(3*b + 2)/2 Solve 2*m**3/7 - 8*m**2/7 - 42*m - 540/7 = 0. -9, -2, 15 Determine t so that 6*t**5 + 72*t**4 + 190*t**3/3 - 32*t**2 - 88*t/3 = 0. -11, -1, -2/3, 0, 2/3 What is l in 2*l**3/3 + 24*l**2 - 230*l/3 + 52 = 0? -39, 1, 2 Factor -c**3/2 + 1032*c**2 - 532512*c. -c*(c - 1032)**2/2 Factor 18*v**3/5 + 896*v**2/5 + 1528*v/5 - 384/5. 2*(v + 2)*(v + 48)*(9*v - 2)/5 Factor 4*x**5 + 80*x**4 + 464*x**3 + 256*x**2 - 3072*x. 4*x*(x - 2)*(x + 6)*(x + 8)**2 Suppose -38*y**3 - 4*y**2 + 38*y + 4 = 0. What is y? -1, -2/19, 1 Suppose -w**5/3 + 4*w**4/3 - 2*w**3/3 - 4*w**2/3 + w = 0. Calculate w. -1, 0, 1, 3 Let -35*b**4 + 255*b**3 - 560*b**2 + 420*b - 80 = 0. Calculate b. 2/7, 1, 2, 4 Factor 3*l**4 + 6*l**3 - 87*l**2 - 90*l. 3*l*(l - 5)*(l + 1)*(l + 6) Determine q so that -q**4 + q**3 + 23*q**2 + 39*q + 18 = 0. -3, -1, 6 Suppose 2*y**4 - 258*y**3 + 762*y**2 - 758*y + 252 = 0. What is y? 1, 126 What is n in -2*n**3/9 + 2*n**2 + 14*n/3 - 490/9 = 0? -5, 7 Find z such that -5*z**3/4 + 445*z**2/2 - 33725*z/4 - 135375 = 0. -12, 95 Solve -2*w**2/11 - 16*w/11 - 32/11 = 0. -4 Suppose 405*h**4/2 + 3501*h**3/2 - 1115*h**2 - 746*h - 92 = 0. What is h? -46/5, -2/9, 1 Factor -f**2/5 - 6*f + 136/5. -(f - 4)*(f + 34)/5 Suppose 9*p**5 + 16*p**4 - 31*p**3 - 66*p**2 - 20*p + 8 = 0. Calculate p. -2, -1, 2/9, 2 Solve -16*f**5/3 + 20*f**4/3 + 572*f**3/3 - 240*f**2 + 48*f = 0 for f. -6, 0, 1/4, 1, 6 Factor -i**2/4 - 399*i/4 - 199/2. -(i + 1)*(i + 398)/4 Determine m so that 2*m**3 + 36*m**2 - 122*m + 84 = 0. -21, 1, 2 Factor 4*s**5 - 104*s**4 + 376*s**3 - 544*s**2 + 356*s - 88. 4*(s - 22)*(s - 1)**4 Factor o**4 - 3*o**3 - 3*o**2 + 11*o - 6. (o - 3)*(o - 1)**2
{ "pile_set_name": "DM Mathematics" }
- 2). Which is greater: -7 or r? r Suppose 29*f - 34*f = -s - 5628, 5*f + 2*s - 5604 = 0. Are 5623/5 and f nonequal? True Let w(a) = -a**3 - 2*a**2 + 8*a - 1. Let y be w(-4). Let r be y/(1 + -3) + (-5)/2. Let d be (r/24)/((-9)/(-48)). Are d and 1 non-equal? True Let p = -6610 - -548627/83. Are 0 and p equal? False Let l = 276 - 354. Let u = -52.9 + 53. Is l bigger than u? False Let i be 3/5 - (-5940)/100. Let v be (-2)/10 - (-24)/i. Which is smaller: v or -1/2? -1/2 Suppose -2*i = -3*y + 12 + 20, 48 = 2*y + 4*i. Suppose -p = -3 - y. Let s = 20 - p. Is s >= 15/7? True Let t be ((-3)/2)/((-162)/9144). Let h = 2798/33 - t. Let u = -6/11 - h. Is 0.02 greater than or equal to u? True Let d be 77/(-180) - (-14)/35. Suppose 2*t + 97 = -5*i, 0 = -5*t - 3*i - 215 - 37. Let r = t - -52. Which is greater: d or r? r Let t be -1 - -2 - (-18)/(-3 + 12). Let p(i) = i**2 + 7*i - 24. Let r be p(t). Let f be r/(-10) + (-4)/10. Are -4/39 and f equal? False Let n(f) = -3 - 13*f**3 - 6*f + 1 + 5*f**2 + 14*f**3. Let p be n(-6). Let c be -2*3 + (-58)/(-13). Is c at most as big as p? False Let u = -4636 + 13910/3. Which is greater: u or 449? 449 Let f = 1.07526 + -91.07526. Let j = 2 + -2.2. Which is bigger: f or j? j Let s(l) = -l**3 - 6*l**2 + 27. Let z be s(-3). Let v be (1/(-12))/(26/(-18)). Which is smaller: v or z? z Let s = -452 - -10400/23. Let y be (-14)/21*6/4. Which is bigger: s or y? s Let x(m) = 10*m**3 + m**2 + 3*m + 2. Let f be 4*(1/(-2) - 0). Let p be x(f). Let k = -481/6 - p. Which is greater: k or 2? 2 Let s be (48/(-45920))/(777/(-28)). Is 1 at most as big as s? False Let c be (1/2)/((-3)/6). Let y(d) = 104*d**3 - 2*d**2 - 2*d - 1. Let s be y(c). Which is greater: -104 or s? -104 Let n(i) = i**3 + 7*i**2 + 37*i + 258. Let w be n(-7). Which is bigger: w or -1/28354? -1/28354 Let b(u) = -16*u + 94. Let c be b(-8). Let g = -220 + c. Is 15/11 less than g? True Let u = 1598 + -1597. Which is smaller: u or 527? u Let g = -235 + 231.6. Let x = -3.624 + -0.076. Let r = g - x. Which is bigger: r or 3? 3 Let x = -4.4959 - -0.4619. Let m = -4.03 - x. Are m and 3 unequal? True Let w be ((-352)/56)/(-11) - -8*4/(-56). Is w bigger than 27/223? False Suppose -6 = 5*y + 2*z, 8*y - 10*y = -2*z - 6. Is -5/108 less than or equal to y? True Suppose 2*p - 610 = -8*p. Suppose -p = 16*a + 243. Is -17 bigger than a? True Let w be -6*((-11)/220*5 + (-2667)/(-36)). Is -441 greater than w? True Suppose 680 - 645 = -3*d + 4*p, 0 = -d + 3*p - 25. Which is bigger: d or 1/37858? 1/37858 Let r be (0 + 1)*(-2)/6. Let f = -22.4349 - -22.4759. Which is smaller: f or r? r Suppose 5*w + 5*t - 18 - 37 = 0, 3*t - 11 = -w. Suppose 4*c - 16 = a, 2*c = 2*a + 1 + 1. Is a > w? False Suppose 20998 + 762 = -30*l - 4*l. Which is smaller: -620 or l? l Let t(y) be the first derivative of 17*y**3/3 - y**2/2 - 4*y - 77. Let o be t(-1). Which is smaller: o or 6? 6 Suppose 60*x + 30480 = 45*x. Which is bigger: x or -2033? x Let w(i) = i**3 + 7*i**2 + 6*i + 4. Let s be w(-6). Let m(v) = v**3 - 5*v**2 - 5*v + 2. Let o be m(6). Suppose o*y + 13 - 45 = 0. Is y at most s? True Suppose -2*p = -10 - 8. Let o = -1761 + 1763. Let d be -251*p/8748 - o/(-8). Is d at least as big as 0? False Let f be 17 - (-15 - (-8 - 1517)). Is f at most as big as -1496? False Let m(l) = l**3 + 21*l**2 - l - 28. Let r be m(-21). Let f be 1/(-1) + (32 - 43). Which is smaller: f or r? f Suppose -16*a - 8*a + 3*a = 0. Suppose a = 42*s + 2278 + 5198. Is s at least 0.2? False Let j(b) = b**2 - 12*b + 22. Let z be j(10). Let y = 2377 + -2368. Is y less than z? False Let r = -187.9 - 29.1. Let z = 118 + r. Let t = z - -99. Which is greater: t or -15? t Let j = -3515 - -3749. Is 231 bigger than j? False Suppose 0 = s - i - 1, 0 = 6*i + 10 - 4. Is s equal to -4/129? False Suppose r + a - 3 = 0, -2*a - 12 = 5*r - 27. Let t be (218/r)/((-100)/150). Which is greater: t or -111? t Let t(q) = q**3 - 13*q**2 - 19*q + 54. Let n be t(14). Let s = n + 16. Is s at most as big as 1/147? True Suppose -25*j = -203*j + 1847 - 601. Suppose 0 = -7*l + 2*l + 55. Is l greater than or equal to j? True Suppose 6*p = p. Suppose 0 = -20*a - 5750 - 110. Let w = -294 - a. Is w >= p? False Suppose 2*m - 10 = m. Let b be 81/10 + -19 + (-2646)/(-140). Which is smaller: b or m? b Let z = -79859801597/8300 - -240647046/25. Let n = -4219 + z. Which is smaller: -1 or n? -1 Let v be (-163)/12*(-4)/(-2). Let g = v + 6025/222. Is g at least as big as -1? True Let y = -0.08191 - 81.91809. Which is bigger: 1/4 or y? 1/4 Suppose 107*k + 213825 = -164*k + 86997. Are -468 and k nonequal? False Let t(m) be the third derivative of 10/3*m**3 + 0*m + 0 + 25*m**2 + 1/8*m**4. Let g be t(-6). Which is greater: g or 2/19? g Let c be (3/6)/(577731/6623540 - 2/23). Is 1874 at most as big as c? False Let z = 3.053 - 3.22. Let r = 2.167 + z. Is 19 at least as big as r? True Suppose 5*r = 663 - 118. Let q = -157 + r. Let p = 46 + q. Which is bigger: 9 or p? 9 Suppose 20 = -5*a, r + 17 = -2*a - 3. Let k be 8*(-4 - 49/r). Which is greater: -22.7 or k? k Let b be (-22*(-72)/264)/6. Is b greater than or equal to 93/328? True Suppose 49*j - 944 = 167*j. Is 8 less than j? False Let z(b) = -b**3 + 20*b**2 - 48*b - 51. Let c be z(17). Is c at most as big as 1/358? True Let u = -6254 - -6450.91. Let s = u - 197. Are s and -0.08 nonequal? True Let c = 1501 + -598. Let o be (36/c)/((-9)/(-63)). Are 0 and o nonequal? True Suppose -5*z - 14 = -5*c + 1, -3*c = -z - 9. Suppose 0 = c*x - 2*x + 14. Let n be -2*57/x + -5. Which is greater: 4 or n? 4 Suppose 3*n = 3*c - 27, -4*n + c = 11*c - 48. Which is bigger: n or -168/71? -168/71 Let t be 20 + (12 - 31) + 7/(140/64). Is t bigger than 48? False Let n = 9180 + -9043. Which is smaller: 681/5 or n? 681/5 Let r(b) = 23*b + 96. Let k be r(-4). Suppose -4*f - k = -5*t, 3 = 6*t - t - 3*f. Do t and -3/208 have the same value? False Let b be (-34)/765 + (-2166)/(-135). Is b at most as big as 41? True Let v be (-32)/24 - (1 - (-3404)/(-1500)). Which is smaller: v or 1? v Let p = 90 + -92. Let t = 521.11 - 520. Is t smaller than p? False Let u = 51324625/2223 - 23088. Is 0 less than or equal to u? True Let g = -19/142 - 157307/1278. Suppose -2*l + 3*w = 142 + 89, 2*w = -l - 133. Let b = l - g. Which is smaller: 9 or b? b Let r be -20*3/(-18)*(-3390)/20. Let t = r - -330. Is 0 equal to t? False Let w = -17117 + 192081/11. Which is greater: w or 344? w Let s be 5 + (-9)/(9/4) + 2. Let w be 2/(-20) - (18/(-5) + s). Is 1/186 less than or equal to w? True Let t be -5 - -6 - 5/(3815/2303). Which is bigger: t or -1? -1 Suppose 190*f = 272*f + 82. Which is greater: 3/8081 or f? 3/8081 Let k be 15/(-50)*15*(-4)/6. Suppose d + 401 = 2*x + 134, -2*x = k*d - 279. Which is greater: -0.2 or x? x Suppose 0*c - 4 = 2*c, -j + 133 = -c. Let h = -16633/127 + j. Is h greater than 1? False Let t = 5705 - 5704.738. Which is greater: t or -7? t Suppose 7*m - 8952 - 6308 = 2*m. Is m at least as big as 3051? True Let m = 2080 + -2092. Is -6 > m? True Suppose z + 5 = -5*v, 5 = -z + 31*v - 33*v. Let f(m) = -m - 10. Let b be f(-5). Let p(y) = -y**2 - 3*y + 3. Let d be p(b). Which is smaller: z or d? d Suppose 0*l - 3 = -2*w + 5*l, 0 = -3*l + 15. Let n be (-7)/w - (-129)/6. Which is bigger: n or 23? 23 Let h be 3*22/(-33) + (-2 - (-196)/48). Which is bigger: -54/13 or h? h Suppose -29 + 4 = -5*k. Let n be (-6)/(-10) - 10056/(-1677) - 3. Let w = 2/559 + n. Which is greater: w or k? k Suppose y - 5 = -9. Let f(v) = -v**2 - 6*v - 3. Let g be f(y). Suppose 5*l + 20 = 5*d + g, 0 = l - 3*d + 13. Is 12 greater than or equal to l? True Let f = 21 - 14. Let k = -2392 + 2386. Let h = k + f. Is h less than or equal to -26? False Let o be 124/(-44) - (2 + (-60)/33). Let j be (-35)/(-28)*-1*4. Does o = j? False Suppose -16 = 21*i - 22*i - 5*g, -16 = 2*i - 2*g. Let p be (-2 - 23/30) + (-2)/5. Is i >= p? False Let i = -10 + -11. Let d be (-7 + 14)/(1/53). Let t = -392 + d. Is i at most as big as t? True Let y = -0.351 - -0.091. Let w = y + 0.16. Which is bigger: w or -0.54? w Let a be 18/8*(-104)/(-78). Suppose 159 = a*t + 5*i, -i + 5*i - 53 = -t. Does 52 = t? False Suppose -40 = -2*b + 3*b. Let n be -4 + (-1309)/(-51) + 2/(-3). Suppose r = -5*v - 38, 16*v - n*v - 114 = 3*r. Which is bigger: r or b? r
{ "pile_set_name": "DM Mathematics" }
-2 Let b = 22 + 2. Let x = 34 - b. Let w be (-2 + 16/x)*-5. Solve -5*d - 15 = 5*u, 5*d + w*u = -0*u - 21 for d. -5 Let u = 4 - -21. Suppose 2*b - u = -3*b. Solve -20 = 5*t - 5*k, b*t - 8 = -5*k + 12 for t. 0 Suppose 10*m + 6*m - 825 = -633. Let o(w) = w**3 + 5*w**2 - 2*w - 4. Let j be o(-4). Suppose -2*q - 3*q + j = 0. Solve m = 2*t + i + q*i, 3*t + 7 = 5*i for t. 1 Let s be 3 - (39/(-3) + 3). Suppose 0 = -3*n + 29 + s. Solve n = 4*r - 2, 4*h + r = 4 for h. 0 Let w be ((-9)/(-2))/(9/36). Let r be w/(-27) + (-22)/(-6). Solve 3*s + r*u + 15 = -2*u, -2*u = -5*s - 25 for s. -5 Let c(b) = -b**3 + 20*b**2 - 49*b - 40. Let y be c(17). Let f = -14 - -24. Let g = y + f. Solve 5 - 16 = k + 3*j, g*k + 4*j = -4 for k. 4 Let j = -3912 + 3916. Let h = -2 - -4. Suppose -6*s = -h*s - 12. Solve 0 = -i + 5 - 1, -16 = -s*b - j*i for b. 0 Let a = 3 - -3. Let k(q) = -5*q + 32. Let l be k(a). Solve -2*v + j + l = 1, -4*j - 12 = -4*v for v. -2 Let l(a) = -10 - 4 + 2 - 2*a. Suppose 3*c = 4*t - 9, -c - 3*t = -2*c + 2. Let o be l(c). Solve -o*p = n + n, -p + n - 8 = 0 for p. -4 Suppose -40*s + 43*s = 51. Solve -5*x - 5*k = -2*k - s, k - 5 = -x for x. 1 Let c(z) = z**3 + 9*z**2 - z - 6. Let i be c(-9). Let y be -3 - (i - 61)/2. Solve -p = -2*p - 5*d - y, 0 = 5*d + 25 for p. -1 Let f be -22*2/(-20) - (-3)/(-15). Solve -2*k + 1 = -3*n, 3*n = -n + f*k for n. 1 Suppose -11*o - 77 = -121. Solve 4*j + 2*b - 3*b + 9 = 0, -o*j - 3*b - 5 = 0 for j. -2 Let k(c) = -6*c - 48. Let a be k(-8). Solve -2*v + a*v - 2 = 0, -v = 5*x - 19 for x. 4 Suppose 2*l - 4 = l. Suppose 2*t = -k + 6 + 2, l*k - 14 = t. Let a(p) = 2*p - 2. Let r be a(2). Solve t*s - r*h - 8 = -0*h, -5*s + 27 = 2*h for s. 5 Let c(u) be the first derivative of u**3/3 + 7*u**2/2 + 5*u + 2. Let l be c(-7). Solve -4*f + r = 3*r - 2, -l*r - 16 = 3*f for f. 3 Let f be -1 - (132/(-32) + 1/8). Solve k + f*b - 2 = 0, 2*k + b + 3*b - 2 = 0 for k. -1 Suppose -22*s - 16 = -26*s. Solve 2*o = -v + 3*o, -5*o - 27 = s*v for v. -3 Suppose 0 = 10*o + 3724 - 3724. Solve -3*l = -3*w + 24, o*w + w - 4 = 0 for l. -4 Let m be (4/(-7))/((-20)/490). Let h be m + (-2 - (-3 - 1)). Let y = -14 + h. Solve -u - 3 = 2*v, -y*v + 5*u = v + 24 for v. -3 Let t(i) = -12*i - 23 - i**2 + 48*i - 21*i. Let g be t(13). Solve -19 = -g*m - 5*v, -4*m - v - 2 = 1 for m. -2 Let k = 56 + -58. Let y(f) = -f + 1. Let l be y(k). Solve 0 = -2*z - l*w - 3, -5*w - 2 - 4 = 3*z for z. 3 Let s = -5 - 5. Let g = s - -14. Suppose 3*a - g = 11. Solve -a*f + c - 8 = -3, -c = -2*f - 5 for f. 0 Let l(i) = 2*i**3 + 47*i**2 - 24*i + 5. Let p be l(-24). Solve -3*q = a + q + 6, -p*a - 4*q - 14 = 0 for a. -2 Suppose 46 = 12*u - 2. Suppose -u*y + 0 = 4, 4*y - 4 = -o. Solve -x + 3 - o = -3*b, x = -b + 3 for b. 2 Let u(h) = -15*h - 45. Let b be u(-6). Let s = -38 + b. Solve 4*x + 18 = -o, -o + 2*x - s*x = 23 for o. 2 Let h be 14*(-6)/(-33 + -9). Solve h*v - 5*k = -14, -4*v + 5 = -k - 3 for v. 3 Let a(c) = c**2 - 37*c + 216. Let r be a(30). Solve -h - r = 5*m - 1, -5*m = -4*h + 30 for m. -2 Let z(g) = -g**2 - 7*g + 4. Let s be z(-7). Let d = -38 + 58. Let v(f) = f**2 - 20*f + 2. Let l be v(d). Solve -s*w + 20 = 0, l*t + 2*w = -0 + 2 for t. -4 Let y(q) = -q**3 - 4*q**2 - 4*q - 9. Let s be y(-4). Let w be -1 + s + 3/(-3). Solve -4 = -2*m - f - f, 4*m + 3*f - w = 0 for m. -1 Let o be 56/6 + 2/(-6). Let c be 2*3 - (-6 + o). Let z be -2 - -2 - 0/c. Solve z = -5*l + 4*f, -4*l = l - 3*f for l. 0 Let q = -1913 - -1918. Solve -3 = l + q*y, 2*l = -23*y + 24*y + 5 for l. 2 Let i be ((-7)/(-3))/(8/(-24)). Let u be (-3)/(1 + i)*2. Let l(x) = 6*x**3 - 2*x**2 - x + 2. Let q be l(u). Solve -3*t = -5*z - q, 0*z - 3 = 5*t + 3*z for t. 0 Suppose -2*r + 4*j = -104, 0 = -4*r - 0*j + 2*j + 184. Let k = r - 41. Solve 3*f = -6*b + 5*b - 1, k*f = b + 1 for f. 0 Let j = -14 + 24. Let l = 15 - j. Solve f - l*y = 4*f + 21, -f - 5*y = 17 for f. -2 Let y = 172 - 1628. Let o be y/(-72) - (-4)/(-18). Let x(z) = 2*z**3 + 1. Let i be x(1). Solve 0 = 2*m + 5*d - o, 2*d - 1 - i = 0 for m. 5 Let m(q) = q**3 + q + 8. Let k be m(0). Let f(t) = -t**2 - t + 14. Let c be f(0). Let j be ((-35)/c)/((-2)/4). Solve i - 5*g = -12 - j, -4*i = -5*g + k for i. 3 Let q = 6 - 6. Let m(c) = 2*c + 7. Let i be m(-3). Let p be 4 - 1/i - 3. Solve q = -2*a - 5*t + 11 - p, t - 16 = -5*a for a. 3 Suppose -27*x + 28*x - 7 = 0. Let p be (2 - -2)*x/4. Let w = p + -5. Solve -4*d = -2*q + 6, -q = -w + 5 for d. -3 Let q = -1914 + 1917. Solve -5*c - m = 4*m, 0 = q*c + 4*m for c. 0 Suppose -5 = -3*g + 4*n, -3*g + 10 = g - 2*n. Let c(t) = t + 21. Let w be c(-19). Let b be w/(-3)*(-3)/2. Solve -2*o - 2*p = g - b, -4*o = -2*p + 4 for o. -1 Let y = 774 + -771. Solve -3*s - 3*o = 0, 0 = -2*s - y*o + 5 - 6 for s. 1 Let y = -74 + 80. Solve -4*z = a + 12, -4*z - 3*a = -6*z - y for z. -3 Let l(c) = c**3 - 9*c**2 + 13*c + 10. Let n be l(7). Suppose -p + 5*r + 7 = -0*r, 0 = -5*p - n*r + 7. Solve 7*w + 20 = 2*w - 2*j, -p*j - 18 = 4*w for w. -2 Let b = 80 - 74. Let i be 2/6*-2 + 4/b. Solve -3*r - 2 = -4*a - i, 2 = -r + 2*a for r. 2 Let g = 15 + -10. Suppose 3*y = -y - g*t + 30, -3*t = -6. Solve -i - 4*i + 2*p - 10 = 0, y*p + 37 = -3*i for i. -4 Let i(s) = 3*s**2 - 2*s - 2. Suppose -2*p = -4*p. Suppose -13 = h - p*h - 3*f, -3*f = -12. Let r be i(h). Solve 0 = -2*m + 5*t - 29 - 4, r*t + 5 = -5*m for m. -4 Let q(m) = -3*m**2 + 25*m + 4. Let r(i) = -i**2 - 7*i - 4. Let p be r(-4). Let u be q(p). Solve -3*j + 3*h = u, h = j + 2*j + 8 for j. -2 Suppose 0 = j + 4*t - 5, j = 2*t - 1 - 0. Let n be (-1)/((-6 + 5)*j/6). Solve 2*u - n = 0, 0*m + 4*m + 4*u - 20 = 0 for m. 2 Suppose 5*d - 42 = -17. Suppose b + 64 = d*b. Let q = b - 9. Solve 2*c + 2 = 4, -2*l - 5*c = -q for l. 1 Suppose -7*d - 3*d + 40*d = 0. Solve d = t, -4*z - 3*t = -12 + 4 for z. 2 Let t = 1794 + -1785. Solve -3*m = 3*h - 3, -m - 6*h + t = -h for m. -1 Let r(m) = m**3 - 9*m**2 + 19*m + 7. Let p be r(5). Solve 3*s = p*k - 3, -6*s = -s + 15 for k. -3 Suppose -2*u + 4 = -5*f + 76, 2*f - u = 29. Solve -z + 2*z = 2*b + f, 0 = -3*b - 4*z + 1 for b. -5 Suppose 4*p - 46 = -3*j + 20, 4*p + 12 = 0. Solve -4 = -3*s - 2*t, -3*s + t = -3*t + j for s. -2 Let r(x) = -x**3 + 7*x**2 - 11*x + 5. Let q be r(6). Let j = q + 27. Solve 0 = -n + 4*y + 6, j*n + 2*y = 4*y for n. -2 Let d = -44 + 48. Solve i + 4*i + 5*r = -5, 4*i - d*r + 12 = 0 for i. -2 Suppose 0*x = 2*c + 5*x + 164, -3*c = 2*x + 257. Let r = -87 - c. Solve 0 = 5*i, r = y - 5*y - 3*i for y. 0 Suppose -3*b - 6 = 3*z, 3*z + 6*b - 5*b + 2 = 0. Suppose 0 = 6*a - z*a. Solve -5*u - 3*l + 1 = 0, a = 5*u - 3*l - 0*l - 19 for u. 2 Suppose -5*i + 27 = -58. Let d(u) = 16*u + 7 + 3 - i*u. Let n be d(6). Solve 3*s = -n*f - 2*s + 2, 2 = -s for f. 3 Let c = 96 + -85. Suppose -c = -m - 7. Solve -5*q = 4*u + 19, 3*q + 2*u - 7*u = -m for q. -3 Let o(z) = -z**2 - 14*z - 10. Let p be o(-12). Suppose 4*k + 2 = p. Solve -3*f - 2 - 7 = n, -5*n = k*f - 3 for f. -4 Suppose 2*n - d = -n + 46, -2*n + 19 = -3*d. Suppose 3*q + 2*b + 2*b = n, 0 = -5*q + 4*b + 7. Solve -3*t - 4*z - 16 = 0, -4*t - q*z + 4*z - 15 = 0 for t. -4 Let f = -122 + 126. Let z be (f - (-33)/(-9))/1*15. Solve 5*g - 3*j + 40 = 0, 5*g + 6*j = 2*j - z for g. -5 Suppose -4*w = -i - 16, -w + 22 = -3*i + 7. Let y be (-6)/(-18)*(3 - w). Solve y = c + 5*m + 8, -4*c = -m + 3*m - 4 for c. 2 Suppose 2 + 3 = 5*w, 4*z - w - 95 = 0. Let p = -8 + 6. Let k be 1*p/4*0. Solve -4*n - g - z = k, -4*n + 0*g - 16 = -g for n. -5 Let c = 32 - 24. Let r be c - -6*(-3)/6. Solve 1 = -2*z - 2*m + 5, -r = -z + 2*m for z. 3 Let x(s) = -2*s - 32. Let z be x(-20). Let p(k) = 2*k + 19. Let j be p(z). Solve -2*y - 5*c + 9 + 6 = 0, -3*y + 4*c = j for y. -5 Let q(z) = -z**2 + 8*z + 4. Let m be (0 - -4)*(-28)/(-16). Let d = 1 + m. Let f be q(d). Solve f*x + 3*v - 11 = 0, x + v = 3*x - 3 for x. 2 Suppose 6*c = -2*c - 240. Let b be (5/c)/(3/(-342)). Solve -5*w + 0*i + i - b = 0, 4*w + 11 = 5*i for w. -4 Suppose 24 + 8 = 4*v. Suppose -3*u = -5*y + v, 0 = -4*y - 3*u - 0*u + 28. Solve -2*s + s + 3*d = 18, 0 = 2*s + y*d - 14 for s. -3 Suppose 3*n + 4*q + 5 = 0, -5*n + 3*q + 7 = 2*q. Solve 2*r + 1 = -3*u, 2 - n = -u for r. 1 Suppose 4*u + 24 = 4*a - 2*a, 3*u = 15. Suppose 2 = -10*q + a. Solve 4*o - i - 2*i + 3 = 0, 0 = 2*o + 2*i - q for o. 0 Let t be (1 + -1)*(-3)/(-
{ "pile_set_name": "DM Mathematics" }
d + -9? 674 In base 5, what is 13 - 10? 3 In base 11, what is 60 - 0? 60 In base 3, what is 122 + -21? 101 In base 11, what is -a4 + -5? -a9 In base 4, what is -20 - 2? -22 In base 8, what is -4 - 152? -156 In base 14, what is 13a1 + -2? 139d In base 15, what is -2c + -4? -31 In base 5, what is -10 + -4024? -4034 In base 12, what is -3 - -381? 37a In base 10, what is -127 + -22? -149 In base 4, what is -2 + -202? -210 In base 15, what is -22b + -a? -236 In base 6, what is -211 - 2? -213 In base 11, what is 14108 + -2? 14106 In base 7, what is 11 - 145? -134 In base 2, what is -10110 - 111? -11101 In base 7, what is -46 + 1? -45 In base 14, what is 464 + 0? 464 In base 9, what is -1106 + 5? -1101 In base 12, what is b + 203? 212 In base 9, what is 1 - -86? 87 In base 15, what is 20 - -3a? 5a In base 15, what is -b - -9? -2 In base 15, what is 25 + 68? 8d In base 3, what is 2201022 - -10? 2201102 In base 6, what is -55102 + 5? -55053 In base 11, what is 173 + -2? 171 In base 9, what is 3 + 333? 336 In base 13, what is 4 - a8b? -a87 In base 13, what is -4 - -6b? 67 In base 6, what is -4 - -1415? 1411 In base 16, what is 3 + 74? 77 In base 14, what is -84 - 7? -8b In base 7, what is 2416 - 2? 2414 In base 7, what is 4 - -3252? 3256 In base 11, what is -8 + -348? -355 In base 15, what is 4 + -1c6? -1c2 In base 4, what is 121113 + -10? 121103 In base 9, what is -2 + -674? -676 In base 8, what is 4 + 123? 127 In base 10, what is 150 - -3? 153 In base 5, what is 14044 + -4? 14040 In base 16, what is 3 - 113d? -113a In base 13, what is -1 - -194? 193 In base 9, what is 5 + 5143? 5148 In base 11, what is 30 - -25? 55 In base 16, what is -68 + 0? -68 In base 5, what is 2023 + 21? 2044 In base 15, what is 3 - -1be? 1c2 In base 2, what is 11000011 - 1? 11000010 In base 6, what is 12133 + 0? 12133 In base 3, what is 210002 + -12? 202220 In base 6, what is -45 + -22? -111 In base 14, what is -3 + ad? aa In base 10, what is 1 + 54? 55 In base 15, what is 1 + d3? d4 In base 6, what is 2104 + 11? 2115 In base 14, what is 5c2 - -5? 5c7 In base 16, what is -e4 + -1d? -101 In base 13, what is -4 - -739? 735 In base 6, what is -4 - 2100? -2104 In base 8, what is 3154 - -4? 3160 In base 16, what is 10fc - -5? 1101 In base 11, what is 171 - 16? 156 In base 13, what is 1 - 42? -41 In base 5, what is -41 + 12? -24 In base 6, what is 14 + 2? 20 In base 12, what is 439 + 0? 439 In base 5, what is -14101 + 1? -14100 In base 12, what is 226 - -6? 230 In base 9, what is 0 - 11? -11 In base 12, what is 27a - -4? 282 In base 2, what is 10001001111 + 1000? 10001010111 In base 15, what is -3 + 124e? 124b In base 11, what is -6 + -374? -37a In base 14, what is 3d + 0? 3d In base 16, what is 4 - 912? -90e In base 12, what is -b428 + 1? -b427 In base 5, what is 2110 - 3? 2102 In base 5, what is -1122 - -32? -1040 In base 6, what is -12 + -10? -22 In base 4, what is -1100 + -2220? -3320 In base 14, what is 4 + -a? -6 In base 10, what is 1 - 5222? -5221 In base 5, what is 33 - 10? 23 In base 5, what is 33 - 301? -213 In base 7, what is 25 - 40? -12 In base 14, what is -1 - 2c? -2d In base 5, what is -133 + 22? -111 In base 11, what is a + 40? 4a In base 16, what is 0 + -148e? -148e In base 15, what is -8e1 + 5? -8db In base 10, what is 540 - -1? 541 In base 10, what is -7921 - -1? -7920 In base 4, what is -13130 + -10? -13200 In base 3, what is -20122 - 12122? -110021 In base 5, what is 114013 + -3? 114010 In base 12, what is 2 + -120? -11a In base 7, what is -60 - 16? -106 In base 2, what is -110010010 + 1? -110010001 In base 8, what is 2007 - 1? 2006 In base 6, what is 3 + 1305? 1312 In base 6, what is 52 - 0? 52 In base 10, what is -19 - 137? -156 In base 9, what is 2472 - 2? 2470 In base 10, what is 2 - 2525? -2523 In base 12, what is -1 - -324? 323 In base 14, what is -3 - 3d? -42 In base 12, what is 75 - -22? 97 In base 13, what is -19 - 286? -2a2 In base 15, what is 5 + -440? -43a In base 5, what is 11 - -23? 34 In base 8, what is -4 - -176? 172 In base 9, what is -388 + 0? -388 In base 6, what is 132 - -14? 150 In base 9, what is -328 - -5? -323 In base 12, what is 1276 - -2? 1278 In base 12, what is -39 - -5? -34 In base 5, what is -33 - -11? -22 In base 16, what is -ad + 0? -ad In base 13, what is 4 - -133? 137 In base 14, what is -8 - -7a? 72 In base 4, what is 211 - -11? 222 In base 4, what is 10 + 2? 12 In base 8, what is 51 + -750? -677 In base 10, what is 1512 - 13? 1499 In base 14, what is -c - -d? 1 In base 7, what is -6 + 165? 156 In base 7, what is 2 - -260? 262 In base 3, what is -1 - -10000120? 10000112 In base 5, what is 3 + -102? -44 In base 9, what is 1 - 617? -616 In base 16, what is -2 - -ee? ec In base 12, what is -4 - 23b? -243 In base 3, what is -110220 + -1? -110221 In base 10, what is 41 - 0? 41 In base 5, what is -30 + 3? -22 In base 14, what is b + -44? -37 In base 9, what is -1267 + 1? -1266 In base 9, what is 10 - -270? 280 In base 4, what is -2 - 1012? -1020 In base 6, what is -24244 + 12? -24232 In base 12, what is -5 + 63? 5a In base 5, what is -11 - 1113? -1124 In base 10, what is 6 - -226? 232 In base 6, what is 31 + 22? 53 In base 2, what is 100000101 - 100000? 11100101 In base 10, what is 3 + 66? 69 In base 7, what is -25 + 11? -14 In base 14, what is -8 + 13? 9 In base 6, what is -2 + -24202? -24204 In base 4, what is -110 + 22? -22 In base 3, what is -1 + 212112? 212111 In base 5, what is 34 - 2200? -2111 In base 7, what is 1 - 300? -266 In base 12, what is 1 - -189? 18a In base 7, what is 0 - -145? 145 In base 8, what is -14 + -26? -42 In base 12, what is -1 + 10? b In base 9, what is 3 + 164? 167 In base 12, what is -3 + -b1? -b4 In base 6, what is 324 + 14? 342 In base 10, what is -3 - 340? -343 In base 12, what is 5 + -25b? -256 In base 12, what is -2 - 306? -308 In base 7, what is -6 + -53? -62 In base 2, what is -111 + -111100? -1000011 In base 15, what is -da - -4? -d6 In base 11, what is -137 - 7? -143 In base 2, what is -10001111011 - 110? -10010000001 In base 2, what is 10110 - 1011010? -1000100 In base 2, what is -1011001 + 1010? -1001111 In base 13, what is -b17 + 1? -b16 In base 3, what is 12222 - -11? 20010 In base 8, what is 51 - -11? 62 In base 16, what is -1b - -5? -16 In base 16, what is -10 + 307? 2f7 In base 11, what is 3 - -2? 5 In base 13, what is -5a9c + -4? -5aa3 In base 13, what is 10 - -b3? c3 In base 4, what is -3 - -323233? 323230 In base 5, what is -2 - 122123? -122130 In base 6, what is 1331 + 1? 1332 In base 4, what is 1 - 1120121? -1120120 In base 15, what is -4 - -82? 7d In base 10, what is -11348 + 3? -11345 In base 12, what is -34 - -17? -19 In base 9, what is 3 + -114? -111 In base 10, what is 118 + -1? 117 In base 10, what is 201 - 1? 200 In base 16, what is -4 + 177? 173 In base 5, what is -21 - 231? -302 In base 9, what is 77 - 25? 52 In base 10, what is 29 + -2? 27 In base 9, what is -2 + 106? 104 In base 15, what is 1e + -17? 7 In base 2, what is -10 - 11000000? -11000010 In base 7, what is -6133 - -3? -6130 In base 5, what is -14103 + -4? -14112 In base 3, what is -1 + -112? -120 In base 14, what is 6 - 1b? -15 In base 15, what is -1e9e - -4? -1e9a In base 10, what is -11 + -215? -226 In base 4, what is 33 + -2103? -2010 In base 13, what is -5 - -1219? 1214 In base 3, what is -122 - 1000? -1122 In base 2, what is -100011001101 + 100? -100011001001 In base 13, what is -2 - 38? -3a In base 13, what is -1 + -1? -2 In base 6, what is 101 - -11? 112 In base 6, what is 5 + -1041? -1032 In base 7, what is -1136 + -1? -1140 In base 4, what is 12111 + -1? 12110 In base 9, what is -1 + 13? 12 In base 6, what is -5 - -102? 53 In base 6, what is 1244 - -44? 1332 In base 14, what is 1 + 25? 26 In base 2, what is 110011101100 - 100? 110011101000 In base 9, what is -42 - 46? -88 In base 10, what is 5740 + -5? 5735 In base 13, what is -24 - -94? 70 In base 13, what is -a + 9? -1 In base 15, what is -6 + -6? -c In base 5, what is 1104 - 0? 1104 In base 6, what is 1 + -22452? -22451 In base 7, what is -104 - 1? -105 In base 2, what is -100 - -1011? 111 In base 9, what is 8 + 55? 64 In base 12, what is 0 - -773? 773 In base 16, what is d - 20? -13 In base 8, what is -32425 + -2? -32427 In base 11, what is -2 - -
{ "pile_set_name": "DM Mathematics" }
is the third derivative of -46*n**4 - 53*n**2 + 22*n**4 - v*n**4 wrt n? -2568*n Let w(r) = -433*r**4 - 11*r**2 - 1135. Let l(b) = -434*b**4 - 8*b**2 - 1134. Let n(x) = -8*l(x) + 6*w(x). Find the third derivative of n(y) wrt y. 20976*y Suppose 0 = s + 5 - 8. Suppose -4*y + 6 = 2*y. Find the first derivative of y - 16*b**2 + 11*b**3 + b**s + 16*b**2 wrt b. 36*b**2 What is the third derivative of 3*a**4 - 23*a**4 + 55*a**3 - 158*a**2 + 10*a**4 + 9*a**4 + 2 - 171*a**3 wrt a? -24*a - 696 Suppose -4*o - 21 = -77. What is the first derivative of 25*v - 18 - 11*v**2 - 12*v - o*v wrt v? -22*v - 1 Find the second derivative of 12679619*v**5 - 247 - 12681084*v**5 - v**4 + v + v**4 wrt v. -29300*v**3 Let d be (-594)/(-18) - (1 + -3 + 4). What is the third derivative of 9*p**2 + 195*p**4 + 105*p**2 + 69*p**2 - d*p**2 wrt p? 4680*p Let f(i) = -2*i**3 + 16*i**2 + 16*i + 21. Let d be f(9). Let z = 102 + -69. Find the second derivative of 22*v - 28*v**d + z*v**3 - 17*v**3 wrt v. -72*v Let i be 2 - (0 - (-2 - -84)). Suppose 2*h - 2080 = -63*h. Find the second derivative of 195*j - h*j**5 - i*j - 70*j wrt j. -640*j**3 Let l(q) = 5422*q**2 + 9694*q - 5. Let z(u) = 5467*u**2 + 9694*u - 4. Let g(r) = -4*l(r) + 5*z(r). Find the second derivative of g(t) wrt t. 11294 What is the third derivative of -183*t**2 - 2408*t**3 + 50*t**3 - 270*t**3 + 2*t + 157*t**2 - 1352*t**3 wrt t? -23880 Let a(q) = -q**5 - 281*q**4 - 7*q**2 + 1276*q - 2. Let l(t) = -t**4 - 2*t**2 + 4*t - 1. Let s(y) = -a(y) + 2*l(y). Find the third derivative of s(b) wrt b. 60*b**2 + 6696*b Let q be (26/(-117))/(4/(-36)). What is the first derivative of -104 - 8941*d - 34*d**q + 8941*d wrt d? -68*d Let l be (-1 - -2) + -14 + 15. What is the second derivative of 9*s**2 - 16*s**2 + 2*s**3 - 36*s + 2*s**3 + 9*s**l wrt s? 24*s + 4 Let c(y) be the first derivative of 0*y**2 + 38 + 0*y**5 + 0*y - 3/2*y**6 - 8/3*y**3 + 0*y**4. What is the third derivative of c(v) wrt v? -540*v**2 Let y(d) be the first derivative of 0*d**3 + d**5 + 0*d**4 + 3/2*d**2 - 34 - 3*d. Find the second derivative of y(g) wrt g. 60*g**2 What is the third derivative of -456 - 5*z**4 - 81*z**3 - 141*z**2 + 883 - 430 wrt z? -120*z - 486 Differentiate -186*j**2 - 189*j**2 - 192*j**2 + 360*j**4 + 567*j**2 + 342 with respect to j. 1440*j**3 Let t(o) be the third derivative of -773*o**9/504 - 11*o**5/60 - 31*o**3/6 + 974*o**2. Find the third derivative of t(d) wrt d. -92760*d**3 Suppose 0*h = 14*h - 84. Let o(z) = -14*z**2 + 13*z + 27. Let t(f) = 15*f**2 - 15*f - 26. Let v(k) = h*t(k) + 7*o(k). Find the first derivative of v(l) wrt l. -16*l + 1 Find the second derivative of -7494 + 2805*g**2 + 2819 - 2972*g**2 - 2*g - 2778*g**2 wrt g. -5890 Let u(l) be the third derivative of l**7/210 - 5059*l**6/120 - 3*l**5/20 - 16*l**3 - 314*l**2 + 3. Find the third derivative of u(n) wrt n. 24*n - 30354 Find the first derivative of -508*m + 44*m**3 - 17*m**3 - 4705 - 3*m**2 + 2*m**2 - 7*m**2 + 505*m wrt m. 81*m**2 - 16*m - 3 Let o = -6 - -18. Suppose -5*y - 4*n = -15, -n - o = -4*y + 4*n. Find the second derivative of 23*w**3 - 15*w**y - 3*w - 11*w**3 wrt w. -18*w What is the first derivative of -654*u**2 + 2323*u**2 + 503*u**2 + 8027 wrt u? 4344*u Let b = -3 - -18. Suppose -14*l = -19*l + b. Differentiate 0*k**3 + 13 - 5*k**l - k**3 - 14 with respect to k. -18*k**2 Let y(b) be the second derivative of -11*b**6/5 + 2*b**4 + b**3/6 - 749*b**2/2 + 8183*b. What is the second derivative of y(t) wrt t? -792*t**2 + 48 Let t(k) = k**2 - 20*k + 3. Let w be t(21). What is the second derivative of -8*n**2 + 117*n - 63*n + 13 - 55*n + w wrt n? -16 What is the second derivative of 4496*y**2 + 741*y**2 + 3578 - 7157 + 3579 - 2188*y wrt y? 10474 Suppose q + 30 = 6*q. Suppose -18 = -4*p - 5*v + q, -3*p = -2*v - 18. Find the second derivative of -3*z - 20*z + p*z**2 + 9*z**2 + 7*z wrt z. 30 Let l(z) be the second derivative of -z**7/14 + 124*z**6/15 - 127*z**3/2 - 13*z - 27. What is the second derivative of l(r) wrt r? -60*r**3 + 2976*r**2 Let a(m) = -m**4 + 3*m**3 - m + 1. Let z(v) = 598*v**4 + 3*v**3 + 4*v + 43. Let r(c) = 2*a(c) - 2*z(c). Find the second derivative of r(o) wrt o. -14376*o**2 Let b(x) be the second derivative of 2*x**7/21 - x**6/2 + x**5/20 + 555*x**4/2 + 1938*x. What is the third derivative of b(i) wrt i? 240*i**2 - 360*i + 6 Let d(j) be the second derivative of -5*j**4/6 + 11*j**3/3 + 630*j**2 - 690*j + 1. Find the first derivative of d(l) wrt l. -20*l + 22 Let t(n) be the first derivative of -7475*n**3/3 - 3*n**2 + 43*n - 6463. What is the second derivative of t(u) wrt u? -14950 What is the derivative of 316*u + 945 + 217*u + 7310*u**4 - 533*u wrt u? 29240*u**3 Let f(n) be the first derivative of 55/3*n**3 - 24 + 0*n**2 + 0*n + 79/5*n**5 + 0*n**4. Find the third derivative of f(x) wrt x. 1896*x Differentiate 8*k**3 + 4*k**2 - 3*k**2 - 4*k + 9*k + 591 - 1122 - 4*k wrt k. 24*k**2 + 2*k + 1 Let u(y) be the first derivative of -15*y**6/2 + 5*y**3 + 263*y**2 - 757. Find the second derivative of u(m) wrt m. -900*m**3 + 30 Let s(g) = -99*g + 3778. Let o be s(38). Let u(f) be the third derivative of -11/6*f**3 + 0*f + 0 - 7/8*f**4 + o*f**2. What is the derivative of u(z) wrt z? -21 Let y(o) be the third derivative of 0*o**5 + 0*o - 37/210*o**7 + 0*o**3 - 6 + 0*o**6 + 4*o**2 - 33/8*o**4. What is the second derivative of y(g) wrt g? -444*g**2 Let h = -185 + 102. Let n = 84 + h. Find the third derivative of -1 - 225*q**2 + n + 224*q**2 + 36*q**3 wrt q. 216 Suppose -r - s + 47 = 0, 50 = r - 3*s + 5*s. Suppose 0 = 2*a + 2*a - r. What is the second derivative of a*j + 4*j + 14*j**2 + 2*j**2 + 9*j**2 wrt j? 50 Let f(p) = 7*p**2 + 126*p + 84. Let c(q) = 5*q**2 + 120*q + 83. Let s(r) = -5*c(r) + 4*f(r). Find the first derivative of s(j) wrt j. 6*j - 96 Suppose 0 = 5*h + 5*b - 10, -b - 4 = -2*h - 5*b. Let v = 262 + -257. What is the third derivative of 0*c**5 - 8*c**h + c**2 - 8*c**v wrt c? -480*c**2 Find the second derivative of -1644*p + 7789*p**2 + 5253*p**2 + 4773*p + 5032*p wrt p. 26084 Let d(r) be the second derivative of -917*r**4/12 - 745*r**2/2 - 924*r. Differentiate d(f) with respect to f. -1834*f Suppose -7*u + 13*u - 30 = 0. Suppose 5*f + 10 = 0, 2*f = u*d + f - 27. Find the third derivative of -8*o**2 + 21*o**2 + 709 + 22*o**d - 709 wrt o. 1320*o**2 What is the third derivative of -441*b**4 + 1289*b**4 - 1108*b**2 + 696*b**4 + b**3 wrt b? 37056*b + 6 Let l be (-1)/(-4)*0 - -7. Differentiate -36 - 28*b - 30*b + l*b - b wrt b. -52 Let t(l) be the first derivative of -7*l**4/4 + l**3/3 + 109*l**2 + 115. Find the second derivative of t(a) wrt a. -42*a + 2 Let a(c) be the first derivative of -5*c**4/6 - 2*c**3 + 71*c**2/2 + 27*c + 188. Let r(i) be the first derivative of a(i). What is the derivative of r(p) wrt p? -20*p - 12 Let d(b) = -3 - 2*b - 1 + 14. Let p(l) = 2*l - 4*l + 2 + 8. Let n(j) = -2*d(j) + 3*p(j). Find the first derivative of n(x) wrt x. -2 Let f(c) be the third derivative of -589*c**7/210 - c**5/30 - 16*c**4/3 - 2*c**2 - 831. What is the second derivative of f(r) wrt r? -7068*r**2 - 4 What is the second derivative of 11481*f**2 + 74 + 2276*f - 1135*f - 1144*f wrt f? 22962 Let p(t) be the third derivative of 1/2*t**4 - 2*t + 101/6*t**3 - 14*t**2 + 0. What is the first derivative of p(k) wrt k? 12 Suppose -c = -5*a - 171, c + 307 = 3*c - 3*a. Find the second derivative of c*i + 0*i**4 - 11*i**4 + 9*i**5 + 14*i**4 wrt i. 180*i**3 + 36*i**2 Let t(m) be the second derivative of -2 + 0*m**4 + 13/10*m**5 + 0*m**2 - 23/3*m**3 + m. What is the second derivative of t(f) wrt f? 156*f Let w = 80 + -40. Differentiate -w + 102 + 34*h - 91*h wrt h. -57 Let f = 369 - 368. Find the second derivative of -696*w**5 + 1535*w**5 - 716*w**5 - f + 16*w wrt w. 2460*w**3 Let p(k) be the third derivative of -38*k**7/105 + k**5/60 - k**4/12 - 404*k**3 + 3664*k**2. Differentiate p(t) with respect to t. -304*t**3 + 2*t - 2 Let c(h) be the second derivative of 209*h**7/7 + h**3/6 + 1031*h**2/2 - 124*h - 2. What is the second derivative of c(w) wrt w? 25080*w**3 Let b(g) = g**2 - 22*g + 82. Let o be b(19). What is the second derivative of 8*x + o*x**2 - 73*x - 50*x + 42*x**2 - 76*x wrt x? 134 What is the third derivative of -2661*w**6 - 2664*w**6 + 1841*w**6 - 403*w**2 - 15
{ "pile_set_name": "DM Mathematics" }
0. -2/5, -1/4, 0, 1 Let q(p) be the second derivative of p**7/63 - 4*p**6/45 + p**5/5 - 2*p**4/9 + p**3/9 - 2*p. Factor q(w). 2*w*(w - 1)**4/3 Let q(p) = 2*p + 10. Let i be q(-5). Let m(r) be the third derivative of -1/360*r**6 - 1/6*r**4 + i + 4/9*r**3 - 2*r**2 + 1/30*r**5 + 0*r. Factor m(u). -(u - 2)**3/3 Let u(i) be the third derivative of i**6/540 - i**5/135 + i**4/108 + 18*i**2. Factor u(b). 2*b*(b - 1)**2/9 Determine f, given that 6*f + 0*f**2 - 3*f**3 + 2*f - 4*f**2 - f**3 = 0. -2, 0, 1 Let k be (-80)/12*3/(-2). Suppose 5*l - k + 0 = 0. Find a such that -l*a**3 - 2*a**3 + 3*a**3 - a**5 - 2*a**4 = 0. -1, 0 Let b(l) = 5*l**2 + 7*l + 2. Let s(h) = 4*h**2 + 6*h + 2. Let x = 9 + -7. Let f(z) = x*b(z) - 3*s(z). Factor f(i). -2*(i + 1)**2 Let k(b) = -b**2 + 8*b - 7. Let f be (-2)/(-3)*21/2. Let s(q) = q**2 - 9*q + 8. Let a(o) = f*k(o) + 6*s(o). Find v, given that a(v) = 0. 1 Let v(p) be the third derivative of p**5/20 + p**4/4 + 2*p**2. Suppose v(g) = 0. What is g? -2, 0 Solve -2/9*g**2 - 2/9 + 4/9*g = 0. 1 Let v(c) be the first derivative of 1/12*c**6 - 5/3*c**3 - 3 + 2/5*c**5 + 1/8*c**4 + 4*c - c**2. Determine q so that v(q) = 0. -2, 1 Determine g, given that 28/5*g**2 - 132/5*g - 8 = 0. -2/7, 5 Suppose 0 + 3/4*v**3 + 15/4*v**2 + 0*v = 0. Calculate v. -5, 0 Let q be (-2)/((3/(-3))/1). Let k(c) be the first derivative of q*c - 2 - 2*c**3 + 4/5*c**5 - 1/2*c**4 + c**2. Determine h, given that k(h) = 0. -1, -1/2, 1 Let n(g) = -10*g**3 - 27*g**2 - 32*g - 15. Let x(d) = -5*d**3 - 13*d**2 - 16*d - 8. Let i(u) = -4*n(u) + 7*x(u). Solve i(r) = 0 for r. -2, -1, -2/5 Let f(y) be the second derivative of -y**6/10 - 9*y**5/20 - y**4/2 + 2*y. Factor f(m). -3*m**2*(m + 1)*(m + 2) Let h(b) be the second derivative of 9*b**5/80 + 5*b**4/16 - b**3/4 - 5*b. Suppose h(m) = 0. Calculate m. -2, 0, 1/3 Factor 27*o - 2*o**2 + o**2 + 0*o**2 - 24*o + 4. -(o - 4)*(o + 1) Let u be (2 - 2)*(2 - 1). Suppose u = -4*v + 11 + 1. Factor -3*x - 7*x - 4 - 5*x**2 - 3*x**2 - 2*x**v. -2*(x + 1)**2*(x + 2) Let t be (-2)/(-2 - (-12)/8). Let s(v) be the second derivative of 0 + 1/30*v**t + v + 0*v**3 - 1/5*v**2. Solve s(j) = 0 for j. -1, 1 Let p(j) = -4*j**4 - 4*j**3 + 5*j**2 + 3. Let m(v) = v**4 + v**3 - v**2 - 1. Let y(s) = -6*m(s) - 2*p(s). Factor y(w). 2*w**2*(w - 1)*(w + 2) Let v(l) be the second derivative of l**4/8 - l**3/4 + 4*l. Suppose v(x) = 0. Calculate x. 0, 1 Let o(q) be the third derivative of 49*q**6/1800 - 7*q**5/75 + 2*q**4/15 + q**3 + 6*q**2. Let i(x) be the first derivative of o(x). Factor i(d). (7*d - 4)**2/5 Let q(a) be the first derivative of 10*a**3/9 + 4*a**2/3 - 13. Factor q(d). 2*d*(5*d + 4)/3 Let g(f) = f**2 + 1. Let u(q) = 4*q**2 - 10*q - 2. Let p(t) = -4*g(t) - u(t). Determine b, given that p(b) = 0. 1/4, 1 Let c be (-27)/18*(-2)/6. Find o, given that -1/2*o**3 + 0*o**2 + c*o + 0 = 0. -1, 0, 1 Let k(z) be the first derivative of 21/10*z**4 - 16/5*z**3 - 6/5*z + 8 + 27/10*z**2 + 1/10*z**6 - 18/25*z**5. Determine p so that k(p) = 0. 1, 2 Solve s**2 - 5*s**2 + 1 + 11 + 3*s**3 - 5*s**2 = 0 for s. -1, 2 Let d(t) be the first derivative of -2/3*t**3 - 1/540*t**6 - 1/45*t**5 - 2 - 1/9*t**4 + 0*t**2 + 0*t. Let r(o) be the third derivative of d(o). Factor r(u). -2*(u + 2)**2/3 Let v = 180 + -359/2. Factor -1/2*d**4 + v*d**2 + 0*d**3 + 0 + 0*d. -d**2*(d - 1)*(d + 1)/2 Let -1/8*t**3 + 0*t + 0 + 1/4*t**2 - 1/8*t**4 = 0. Calculate t. -2, 0, 1 Let i(w) be the third derivative of 2*w**2 - 1/21*w**5 + 1/84*w**4 + 0 + 0*w**3 + 0*w + 2/147*w**8 - 8/147*w**7 + 11/140*w**6. Suppose i(a) = 0. Calculate a. 0, 1/4, 1 Let s(v) be the third derivative of -v**6/135 - v**5/270 + v**4/27 + v**3/27 + 2*v**2. Factor s(j). -2*(j - 1)*(j + 1)*(4*j + 1)/9 Let j(v) be the first derivative of -v**3 - 9*v**2/2 - 6*v - 48. Suppose j(y) = 0. What is y? -2, -1 Let m be 0*((-10)/(-3) - (-3 + 6)). Factor m - 1/3*q**2 + 2/3*q. -q*(q - 2)/3 Let w be (-48)/(-9) + 4/6. Let r(s) = s**4 + 9*s**3 - 9*s + 6. Let n(l) = -l**4 - 8*l**3 + 8*l - 5. Let y(k) = w*r(k) + 7*n(k). Factor y(o). -(o - 1)*(o + 1)**3 Let g be (-40)/(-8 + 4 - 10). Suppose 8/7*u**2 - g*u - 12/7 = 0. What is u? -1/2, 3 Suppose 33 = -d - 5*p + 10, 0 = -5*d - p + 5. Let b be 1*d + (3 - 4). Factor -b + 1/2*o**2 - 1/2*o. (o - 2)*(o + 1)/2 Let i(t) be the second derivative of 1/70*t**5 - 1/105*t**6 - 1/21*t**3 + 0*t**2 + 1/42*t**4 + 0 + 3*t. Solve i(h) = 0 for h. -1, 0, 1 Let f(x) be the second derivative of 0*x**2 - 1/20*x**5 + 0*x**3 + 0 + 0*x**4 + 0*x**6 + 1/42*x**7 - 3*x. Determine m so that f(m) = 0. -1, 0, 1 Let v = 6481/60 + -108. Let u(f) be the third derivative of -1/3*f**3 - 1/24*f**4 + 0 + v*f**5 + 0*f + 3*f**2. Factor u(q). (q - 2)*(q + 1) Determine h, given that -6*h - 4 - h**5 - h**5 - 21*h**2 + 25*h**2 + 13*h**3 - 5*h**3 = 0. -1, 1, 2 Let r(x) be the third derivative of x**8/80 - x**7/56 - x**6/60 - 2*x**3/3 - 5*x**2. Let p(i) be the first derivative of r(i). Solve p(q) = 0 for q. -2/7, 0, 1 Suppose -z = 2*z - 4*s - 140, 2*z + 2*s = 84. Let j = z + -175/4. Solve -j - 1/4*m**2 - 1/2*m = 0. -1 Let u(p) be the second derivative of -1/2*p**4 - 1/10*p**5 - p**2 - p**3 + p + 0. What is l in u(l) = 0? -1 Let o(z) be the first derivative of -z**5 + 3*z**4/4 + 5*z**3 - 19*z**2/2 + 6*z - 10. Suppose o(v) = 0. Calculate v. -2, 3/5, 1 Let a be (6/78)/(5/10). Suppose 0 - a*p**2 - 2/13*p = 0. What is p? -1, 0 Let r(l) be the first derivative of -1/3*l**3 + l + 6 + 0*l**2. Factor r(o). -(o - 1)*(o + 1) Factor -3*a**3 + 12*a + 6*a**2 + 6*a**3 - 21*a. 3*a*(a - 1)*(a + 3) Find v, given that 2/11*v**3 + 4/11*v + 0 + 6/11*v**2 = 0. -2, -1, 0 Determine i, given that -1/10*i**4 + 3/10*i**2 + 0*i**3 + 1/5*i + 0 = 0. -1, 0, 2 What is x in 4*x**2 + 4 + 0*x + 3*x**2 - 5*x**2 - 6*x = 0? 1, 2 Let f(j) be the first derivative of 5*j**4 - 5*j**3 - 5*j**2/2 + 27. Factor f(h). 5*h*(h - 1)*(4*h + 1) Let t(q) be the first derivative of 1/22*q**4 + 0*q**2 + 0*q - 2/33*q**3 + 4. Determine m so that t(m) = 0. 0, 1 Let c(d) = -d**3 + 3*d**2 - d + 1. Let k be c(2). Let r = 14 + -9. Factor 0*v + 0 + 0*v**2 - 1/4*v**r - 1/4*v**4 + 0*v**k. -v**4*(v + 1)/4 Suppose 2*w = 3*l - 40, 4*w + 10 = l - 10. Let v be 10/l*(-8)/(-10). Let 0 + 2/3*h**3 - 2/3*h**4 + 0*h - 2/3*h**5 + v*h**2 = 0. What is h? -1, 0, 1 Let o = 239 - 1669/7. Factor -o*z + 1/7*z**2 + 4/7. (z - 2)**2/7 Let r = 103/190 + -4/95. Factor -9/2 - r*d**2 + 3*d. -(d - 3)**2/2 Let l(m) = 3*m**2 - 14*m + 10. Let a(f) = 3*f**2 - 15*f + 9. Let u(s) = -2*a(s) + 3*l(s). Let u(i) = 0. What is i? 2 Let j(d) be the first derivative of -d**3/3 - d - 13. Let r(s) = -2*s - 3*s + 3*s. Let c(w) = -3*j(w) + 3*r(w). Factor c(o). 3*(o - 1)**2 Let n(m) be the second derivative of m**4/30 + m**3/15 + 12*m. Factor n(g). 2*g*(g + 1)/5 Suppose 0 = -2*r - 2*r - b + 16, -3*r + 5 = -b. Let c(t) be the second derivative of -7/15*t**6 - 1/2*t**5 + 1/3*t**4 + 0*t**2 + 0*t**3 + 0 + r*t. Factor c(x). -2*x**2*(x + 1)*(7*x - 2) Suppose -4*i - o = -7, 2*i + o + 11 = 7*i. Let n(v) be the second derivative of 0 + 5/36*v**4 - i*v + 5/12*v**5 + 2/3*v**2 - 8/9*v**3. Factor n(t). (t + 1)*(5*t - 2)**2/3 Let q(o) = o + 13. Let s be q(-10). Factor -2*j**3 + 4*j - 6*j**2 + 7*j**3 - j - 2*j**s. 3*j*(j - 1)**2 Let l(y) = -y**2 + 4*y + 6. Let p be l(5). Let k be 1/(p/5 + 0). What is o in -o - k*o**2 - 25/4*o**3 + 0 = 0? -2/5, 0 Let m(w) = -5*w - 1. Let k be m(-1). Suppose -4*r = k*y - 4, -y - 3*y = 2*r - 8. Factor 1/3 - q + q**2 - 1/3*q**y. -(q - 1)**3/3 Let i(w) = -w**4 - 3*w**3 - 4*w - 4. Let g be (8/10)/((-4)/20). Let s(z) = -z**4 - 4*z**3 - 5*z - 5. Let a(f) = g*s(f) + 5*i(f). Factor a(y). -y**3*(y - 1) Solve 3*r**3 - 25*r + r**2 + 3*r**3 + 4*r**2 - r**3 + 15 = 0. -3, 1 Suppose 3*b - 8*b + 30 = 0. Suppose 14 = 2*q + b. Find y, given that -y + 3*y - 2*y**3 - y**4 + 2*y**q - 1 = 0. -1, 1 Let n(z) = 1. Let t(d) = 8*d**2 + 2*d - 8. Let s(p) = -p**2 + 1. Let v(g) = 6*s(g) + t(g). Let r(h) = 2*n(h) - v(h). Let r(b) = 0. Calculate b. -2, 1 Suppose 0 = 2*j + 4*a, -5*j - a = -2*j - 5. Factor 1/2*c + 0*c**3 - c**4 + c**j + 0 - 1/2*c**5. -c*(c - 1)*(c + 1)**3/2 Suppose 6 - 1 = 5*f. Let n be f/2 + (-13)/52. Suppose 0*g + 1/4*g**3 + 0 + n*g**2 = 0. What is g? -1, 0 Let u(q) be the second derivative of q**4/9 - 8*q**3/9 - 10*q**2/3 - 8*q. Determine j, given tha
{ "pile_set_name": "DM Mathematics" }
m**2 + 3*m + 542 What is the v'th term of -54, -236, -546, -984, -1550, -2244, -3066? -64*v**2 + 10*v What is the d'th term of 39, 41, 37, 21, -13, -71? -d**3 + 3*d**2 + 37 What is the f'th term of 316, 617, 906, 1183, 1448, 1701, 1942? -6*f**2 + 319*f + 3 What is the i'th term of 29, 48, 77, 122, 189, 284, 413, 582? i**3 - i**2 + 15*i + 14 What is the i'th term of -1258, -2513, -3768, -5023, -6278, -7533? -1255*i - 3 What is the s'th term of -1613, -3229, -4843, -6455, -8065, -9673? s**2 - 1619*s + 5 What is the z'th term of 17, 50, 103, 176, 269, 382? 10*z**2 + 3*z + 4 What is the k'th term of 806, 838, 870, 902, 934, 966? 32*k + 774 What is the g'th term of -42, -51, -130, -315, -642, -1147, -1866? -6*g**3 + g**2 + 30*g - 67 What is the y'th term of -498, -1931, -4326, -7689, -12026, -17343, -23646? -y**3 - 475*y**2 - y - 21 What is the i'th term of 12, 2, -18, -54, -112, -198? -i**3 + i**2 - 6*i + 18 What is the u'th term of 8, 31, 70, 125, 196, 283? 8*u**2 - u + 1 What is the x'th term of 5, -13, -43, -91, -163, -265? -x**3 - 11*x + 17 What is the j'th term of 62, 75, 92, 113? 2*j**2 + 7*j + 53 What is the m'th term of -66, -116, -154, -174, -170, -136, -66, 46? m**3 - 57*m - 10 What is the v'th term of -156, -181, -222, -279, -352? -8*v**2 - v - 147 What is the l'th term of 368, 720, 1062, 1388, 1692? -l**3 + l**2 + 356*l + 12 What is the z'th term of 10, 15, 24, 37? 2*z**2 - z + 9 What is the p'th term of -2695, -2694, -2693? p - 2696 What is the y'th term of 787, 788, 789, 790, 791? y + 786 What is the t'th term of -7, 29, 75, 119, 149, 153, 119? -2*t**3 + 17*t**2 - t - 21 What is the q'th term of -1214, -2428, -3642, -4856, -6070? -1214*q What is the u'th term of 93, 114, 169, 276, 453, 718, 1089, 1584? 3*u**3 - u**2 + 3*u + 88 What is the o'th term of -78, -81, -94, -123, -174, -253? -o**3 + o**2 + o - 79 What is the l'th term of -405, -408, -413, -420, -429, -440? -l**2 - 404 What is the h'th term of 59, 49, 33, 11, -17? -3*h**2 - h + 63 What is the o'th term of -33, -62, -89, -114, -137, -158? o**2 - 32*o - 2 What is the t'th term of -2439, -4880, -7321, -9762? -2441*t + 2 What is the c'th term of -700, -705, -696, -667, -612? c**3 + c**2 - 15*c - 687 What is the b'th term of 175, 165, 141, 97, 27? -b**3 - b**2 + 177 What is the s'th term of -3, 5, 25, 57? 6*s**2 - 10*s + 1 What is the v'th term of -76, -83, -96, -115, -140? -3*v**2 + 2*v - 75 What is the r'th term of 174, 199, 222, 243? -r**2 + 28*r + 147 What is the p'th term of -92, -115, -124, -113, -76, -7? p**3 + p**2 - 33*p - 61 What is the j'th term of 19897, 19903, 19913, 19927, 19945? 2*j**2 + 19895 What is the j'th term of 81, 343, 783, 1407, 2221, 3231, 4443, 5863? j**3 + 83*j**2 + 6*j - 9 What is the m'th term of 8739, 8741, 8745, 8751, 8759, 8769? m**2 - m + 8739 What is the g'th term of -256, -518, -790, -1078, -1388, -1726, -2098? -g**3 + g**2 - 258*g + 2 What is the a'th term of -6, -13, -20, -27, -34, -41? -7*a + 1 What is the p'th term of -119, -123, -131, -143? -2*p**2 + 2*p - 119 What is the t'th term of -1066, -1065, -1064, -1063, -1062, -1061? t - 1067 What is the r'th term of 117, 214, 273, 288, 253, 162, 9, -212? -r**3 - 13*r**2 + 143*r - 12 What is the p'th term of -3713, -7420, -11115, -14792, -18445, -22068, -25655, -29200? p**3 - 3714*p What is the o'th term of -167, -721, -1645, -2939, -4603? -185*o**2 + o + 17 What is the d'th term of -362, -349, -336, -323? 13*d - 375 What is the m'th term of -1375, -1364, -1345, -1318, -1283, -1240? 4*m**2 - m - 1378 What is the l'th term of 51, 102, 153, 204? 51*l What is the f'th term of -55, -180, -379, -658, -1023? -f**3 - 31*f**2 - 25*f + 2 What is the x'th term of 1590, 1588, 1586, 1584, 1582? -2*x + 1592 What is the n'th term of 81, 313, 701, 1245, 1945? 78*n**2 - 2*n + 5 What is the y'th term of 113, 118, 147, 212, 325? 2*y**3 - 9*y + 120 What is the h'th term of -4184, -4184, -4182, -4178? h**2 - 3*h - 4182 What is the m'th term of -26, -19, 0, 37, 98, 189? m**3 - 27 What is the m'th term of 21, 122, 401, 948, 1853? 15*m**3 - m**2 - m + 8 What is the g'th term of 20, 40, 62, 86, 112, 140, 170? g**2 + 17*g + 2 What is the o'th term of 7, -3, -29, -77, -153, -263, -413? -o**3 - 2*o**2 + 3*o + 7 What is the k'th term of 189, 759, 1713, 3051, 4773, 6879, 9369? 192*k**2 - 6*k + 3 What is the k'th term of 504, 513, 528, 549, 576? 3*k**2 + 501 What is the f'th term of 10, -10, -52, -122, -226, -370? -f**3 - 5*f**2 + 2*f + 14 What is the g'th term of -1755, -3513, -5271, -7029, -8787, -10545? -1758*g + 3 What is the k'th term of -42, -95, -180, -297, -446? -16*k**2 - 5*k - 21 What is the q'th term of 60, 131, 202? 71*q - 11 What is the m'th term of -160, -313, -454, -577, -676? m**3 - 160*m - 1 What is the h'th term of 120, 122, 124, 126, 128, 130? 2*h + 118 What is the o'th term of 35, 45, 53, 53, 39, 5, -55, -147? -o**3 + 5*o**2 + 2*o + 29 What is the n'th term of -507, -1014, -1521, -2028, -2535, -3042? -507*n What is the s'th term of 76, 75, 76, 79, 84, 91? s**2 - 4*s + 79 What is the m'th term of 264, 277, 304, 351, 424, 529, 672? m**3 + m**2 + 3*m + 259 What is the f'th term of 5866, 5867, 5866, 5863, 5858, 5851, 5842? -f**2 + 4*f + 5863 What is the r'th term of 21, 33, 71, 147, 273? 2*r**3 + r**2 - 5*r + 23 What is the k'th term of -134, -108, -92, -92, -114, -164? -k**3 + k**2 + 30*k - 164 What is the q'th term of -72, -137, -202, -267, -332? -65*q - 7 What is the m'th term of -117, -235, -351, -465, -577, -687? m**2 - 121*m + 3 What is the u'th term of -9, -18, -43, -90, -165, -274, -423, -618? -u**3 - 2*u**2 + 4*u - 10 What is the u'th term of 411, 409, 405, 399, 391, 381? -u**2 + u + 411 What is the r'th term of -49, -25, 13, 71, 155? r**3 + r**2 + 14*r - 65 What is the n'th term of -13781, -27561, -41341, -55121, -68901? -13780*n - 1 What is the k'th term of 102, 210, 318, 426, 534? 108*k - 6 What is the h'th term of -1338, -1337, -1336, -1335? h - 1339 What is the h'th term of -11, -11, -5, 7, 25, 49, 79? 3*h**2 - 9*h - 5 What is the u'th term of 361, 364, 369, 376, 385? u**2 + 360 What is the z'th term of 43, 84, 125? 41*z + 2 What is the k'th term of -126, -123, -120, -117, -114, -111? 3*k - 129 What is the n'th term of 53, 109, 165, 221? 56*n - 3 What is the x'th term of -7, -1, 7, 17, 29, 43? x**2 + 3*x - 11 What is the i'th term of 25, 60, 99, 142, 189, 240, 295? 2*i**2 + 29*i - 6 What is the s'th term of 88, 169, 234, 283? -8*s**2 + 105*s - 9 What is the q'th term of -87, -159, -231? -72*q - 15 What is the r'th term of -760, -3048, -6862, -12202, -19068, -27460? -763*r**2 + r + 2 What is the r'th term of 1133, 2264, 3395, 4526, 5657? 1131*r + 2 What is the u'th term of 143, 180, 243, 338, 471, 648, 875, 1158? u**3 + 7*u**2 + 9*u + 126 What is the g'th term of -25, -37, -49, -61, -73? -12*g - 13 What is the y'th term of -147, -141, -139, -141? -2*y**2 + 12*y - 157 What is the l'th term of -209, -418, -627, -836, -1045? -209*l What is the r'th term of 15, 35, 55, 75, 95, 115? 20*r - 5 What is the a'th term of 19, 61, 127, 217, 331, 469, 631? 12*a**2 + 6*a + 1 What is the c'th term of 3, 6, 11, 18? c**2 + 2 What is the h'th term of -751, -1528, -2305, -3082, -3859, -4636? -777*h + 26 What is the w'th term of -22, -60, -108, -166, -234, -312, -400? -5*w**2 - 23*w + 6 What is the r'th term of 28, 127, 294, 529? 34*r**2 - 3*r - 3 What is the q'th term of 35, 53, 83, 125? 6*q**2 + 29 What is the u'th term of 27, 17, -7, -51, -121, -223? -u**3 - u**2 + 29 What is the s'th term of 365, 378, 405, 452, 525, 630? s**3 + s**2 + 3*s + 360 What is the y'th term of -1774, -3533, -5290, -7045, -8798? y**2 - 1762*y - 13 What is the l'th term of 6, 3, 0? -3*l + 9 What is the x'th term of -125, -123, -129, -149, -189, -255, -353? -x**3 + 2*x**2 + 3*x - 129 What is the o'th term of -51, -101, -151, -201, -251, -301? -50*o - 1 What is the b'th term of 716, 719, 724, 731, 740, 751? b**2 + 715 What is the a'th term of -187, -370, -557, -748, -943, -1142? -2*a**2 - 177*a - 8 What is the d'th term of -214, -197, -172, -139, -98? 4*d**2 + 5*d - 223 What is the v'th term of -60, -120, -180, -240? -60*v What is the j'th term of -4, -35, -154, -415, -872, -1579, -2590, -3959? -9*j**3 + 10*j**2 + 2*j - 7 What is the w'th
{ "pile_set_name": "DM Mathematics" }
3. Put -2, g, i in ascending order. i, -2, g Let o = 3 - 3. Suppose 4 = -3*u + 1, -3*w + 9 = 3*u. Put w, -1, o in increasing order. -1, o, w Suppose -3*m = -y - 4, m - 2*m - 6 = -4*y. Let o be 3 - (2 - 1/1). Suppose 11 - o = -3*k. Sort k, 3, m. k, m, 3 Suppose 0 = -0*f - 5*f, -j - 7 = 4*f. Let n(m) = m + 12. Let k be n(j). Let a(i) = i**2 - 7*i + 7. Let c be a(k). Sort -1, 4, c. c, -1, 4 Let x = 0.11 - 0.91. Let n = 0.9 + x. Let z = n + 0.9. Sort -0.1, z, -1/3 in descending order. z, -0.1, -1/3 Suppose 0 = -f + 6*f - 5, -b + 6 = f. Let c(h) = -6*h + 9. Let m be c(2). Sort m, b, 1 in ascending order. m, 1, b Suppose -4*h + 1 = -v, 4*v + 0*v = -3*h - 4. Suppose -5*t - 7 + 27 = h. Suppose -3*o + 1 = 10. Put 1, t, o in descending order. t, 1, o Let a be 16*(15/6)/(-1). Let b = 161/4 + a. Let g = -1 + -1. Sort -0.2, b, g in ascending order. g, -0.2, b Suppose -3*u - 3 = 9. Sort 3, u, 0, 7 in decreasing order. 7, 3, 0, u Let x = -0.9 - 0.1. Let c = -1.3 - x. Let r = c - -0.4. Sort r, -0.3, 1/6. -0.3, r, 1/6 Let w be (-2 - 0) + 78/(-9). Let u = w + 10. Sort u, 1/4, -4. -4, u, 1/4 Let b = -12/5 + 9/10. Let n = -0.14 - 0.16. Put 2/5, n, b in descending order. 2/5, n, b Let l be (-6)/(-2)*(-6)/(-9). Let v be 2*(-2)/8*l. Let c be (-12)/(-16) - v/4. Sort -1, c, -2 in increasing order. -2, -1, c Let m = 2 + -7. Suppose 2*v + 36 = -2*v. Sort 1, v, m in ascending order. v, m, 1 Let g = 26 - 23. Suppose -15 = 3*k + 3*o, 0*k + 2*o = 3*k - 5. Sort -2, k, g in increasing order. -2, k, g Suppose 5*s - 45 = -5*c, 0 = -2*s + c + 9 + 9. Let q = 6 - s. Put q, 2/15, -1 in increasing order. q, -1, 2/15 Let l(u) = -6*u + 37. Let s be l(6). Suppose -3*b - 2*b + 15 = 0. Put b, s, -5 in decreasing order. b, s, -5 Suppose 4*d + 2*y - 12 = 0, -2*y + 3*y - 18 = -5*d. Sort -2, 3, d in decreasing order. d, 3, -2 Let h be 1 + -1 + 3/(-3). Let t = h + 0. Let c be (-2)/4 + 5/2. Put t, -5, c in decreasing order. c, t, -5 Let g(c) = -2*c - 9. Suppose 3*j + 21 = -3*z, 4*z + 5*j + 23 + 6 = 0. Let n be g(z). Put 4, n, 0 in descending order. 4, n, 0 Suppose 3*a + 4*k + 5 = 0, 0 = -4*a - k - k + 10. Sort a, -1, 0, 2 in descending order. a, 2, 0, -1 Suppose 0 = -0*f - f - 3. Let s = f + 5. Suppose -14 = -5*m - 4, 2*m = 3*q - s. Sort 1, q, 5. 1, q, 5 Suppose 4 = 5*h - 3*h. Let l = 0.14 + -2.14. Let j = l - 3. Sort 1, j, h in descending order. h, 1, j Suppose 20*r + 1 = 21. Put -4, r, -2, 4 in increasing order. -4, -2, r, 4 Suppose 6 = -2*j, -3*j = 3*y + 3 - 0. Suppose 4*o = -k - 16, 7 = -2*k - 1. Suppose 0 = 3*w + 2*w. Put o, y, w in increasing order. o, w, y Suppose 808 = -5*y + 238. Let b be 2 - 0 - (-216)/y. Sort b, 0.3, 5 in descending order. 5, 0.3, b Let b(o) = o**3 + 9*o**2 - 12*o - 15. Let n be b(-10). Put 4, 20, n, -4 in decreasing order. 20, n, 4, -4 Let j = 6 - 1. Suppose -5*a + 25 = j. Let d(r) = r**3 - r**2 + r - 4. Let o be d(0). Sort a, 0, o. o, 0, a Suppose -4*c - 5 = -3*c. Sort c, 24, -3 in decreasing order. 24, -3, c Let f(z) = z**3 - z + 1. Suppose -3*u = -u + 5*o, 0 = -3*u - 5*o. Let l be f(u). Let n = -12 - -8. Sort n, -5, l in increasing order. -5, n, l Let y(u) = u**2 + 5*u - 5. Let s be y(-6). Let m = -12 + 6. Let p = 3 + m. Sort s, 2, p in decreasing order. 2, s, p Suppose 14*h = -6 + 20. Sort -5, -4, h in ascending order. -5, -4, h Let n = 20.8 + -19. Let x = n - 1.5. Put 0.4, x, 0 in ascending order. 0, x, 0.4 Let g be ((-2)/(-2))/(2/24). Let v be -2 - (0 - g/2). Let c = 15 + -17. Put v, c, -3 in ascending order. -3, c, v Let k = -5 - 0. Let i = -2.06 + 0.06. Put -1/5, k, i in decreasing order. -1/5, i, k Suppose -42 = -2*i - 12. Let b = i + -9. Suppose -3*x + 3*h - 18 = 0, 3*x + h - b*h + 26 = 0. Put 1, x, 2 in descending order. 2, 1, x Let z(l) = -l**2 + l + 3. Let b be z(3). Let t be (4 + b)/(0 - 1). Let m = t + -4. Put 2, m, 0 in decreasing order. 2, 0, m Let m(t) = t - 4. Let x be m(6). Suppose 5*p + x = 17. Sort p, -4, -3. -4, -3, p Let o be 1/2*-1 - 1/2. Put o, 2, -13 in decreasing order. 2, o, -13 Let l = -50 - -46. Put 4, 3, l in ascending order. l, 3, 4 Let k(c) = c + 2. Let g be k(-2). Suppose -4*s + 3*v + g*v + 3 = 0, 4*s - 2*v - 2 = 0. Put -2, 1, s in descending order. 1, s, -2 Let f = -0.01 - 0.51. Let n = -0.18 + f. Let x = -0.3 - n. Sort -2/7, x, 5 in ascending order. -2/7, x, 5 Let i(z) = 3*z - 1 + 2 + z**2 + 2*z**2 + z**3. Let t be i(-3). Let r = -5 - t. Put 2, 4, r in descending order. 4, r, 2 Let x = -348/7 + 50. Sort x, 3, 0.2. 0.2, x, 3 Let p(j) = -j + 7. Let c be p(8). Let s = -2 + 3. Sort c, -3/5, s in decreasing order. s, -3/5, c Let c be 6*7*(-3)/9. Let y be (9 - 0)*(-21)/9. Let b be 60/c + (-6)/y. Sort 1, b, 0 in decreasing order. 1, 0, b Let z = -2.48 - 0.32. Let n = z + 3. Let f = 4.6 - 0.6. Sort n, -4, f. -4, n, f Let k(j) = j**2 + 10*j. Let o be k(-10). Suppose 0*d + 9 = -d. Sort -4, d, o in ascending order. d, -4, o Let o = 4 + 2. Let r = o - 2. Sort r, -2/7, -1 in decreasing order. r, -2/7, -1 Let w = 0.27 + -2.67. Let n = w - -0.4. Sort 4, 3, n in increasing order. n, 3, 4 Let t = 0 - 1. Let b = -1 - t. Let i = -231 - -230.6. Sort i, b, 2/5 in descending order. 2/5, b, i Suppose 7*y - 12 = 9. Put 5, y, 0, -5 in descending order. 5, y, 0, -5 Let z(p) be the second derivative of p**5/20 + 17*p**4/12 + 8*p**3/3 - 3*p**2/2 - 2*p. Let v be z(-16). Sort v, -2/11, -1 in descending order. -2/11, -1, v Let o = 0.1 - 0.6. Let c = o + 0. Put c, 2, -1 in decreasing order. 2, c, -1 Suppose -3*g - 17 = -4*l, 5*l + 0 - 4 = -2*g. Let i = 2 - g. Put i, 1, 2 in ascending order. 1, 2, i Let y(r) = -r**2 + 2*r + 3. Let a be y(3). Suppose -5*j + 10 = -a*j. Suppose -n - 8 = -3*n. Put n, 0, j in decreasing order. n, j, 0 Let z be ((-16)/16)/((-3)/((-3)/2)). Sort -3, 0.15, -1, z in descending order. 0.15, z, -1, -3 Let j(p) = -2*p + 4. Let n be j(5). Let r = n + 15. Let z = -4 + r. Sort -2, -3, z in ascending order. -3, -2, z Let p be 0/2*(-8)/(-8). Put p, -3/5, 5, 0.3 in ascending order. -3/5, p, 0.3, 5 Suppose -2*n - 3*j + 6 = 0, -n + 3*j + 3 = 5*j. Suppose -n*p - 20 = 2*p. Let v = 5 + -1. Put v, p, 3 in descending order. v, 3, p Let q be (-4)/6*2/(-4). Let c = -11.52 - -11.42. Put c, -5, q in descending order. q, c, -5 Let w = -9 + 14. Let x = -9 + 5. Put w, 4, x in decreasing order. w, 4, x Let a(f) = -f**2 + 5*f - 5. Let s be a(5). Sort -0.2, s, 1/4 in decreasing order. 1/4, -0.2, s Let n be 1/(-2)*(-9)/81*2. Sort n, -1/6, -0.2 in descending order. n, -1/6, -0.2 Let z be ((-2)/4)/((-12)/8). Put 5, 1, z in ascending order. z, 1, 5 Let y(d) = d**2 + 8*d - 2. Let n be y(-9). Let i be n/(-14) + 9/2. Sort -0.3, i, 3/4. -0.3, 3/4, i Suppose -2*j = -0*j. Let t = -54 + 49. Sort j, t, 1/2 in descending order. 1/2, j, t Let q be (0/(-1 + -1))/1. Let z be 1*(0 + q)/(-3). Suppose 4*x - 11 - 5 = 0. Sort x, -1, z in increasing order. -1, z, x Let q = -17 + 18. Put -5, -4, q in descending order. q, -4, -5 Let u be (-30)/(-4) - (-1)/(-2). Let w = 6 - u. Put 2, 1, w in decreasing order. 2, 1, w Let a be 3 + -1 - (1 + -1). Suppose -3 = 5*b - a*b. Suppose l - 5*j - 20 = 0, -4*j - 26 + 6 = 0. Sort b, -3, l. l, -3, b Let z(f) = f - 4. Let y be z(4). Let p = -0.2 - -1.2. Put y, -0.3, p in descending order. p, y, -0.3 Suppose -4 = -i - 1. Let v be i - (3 + -2)/1. Sort 5, v, 3 in descending order. 5, 3, v Let c(d) = d**2 - 4*d + 3. Let g be c(3). Suppose g = -4*p + f + 16, 0*p + 5*f = -2*p - 14. Let s be (-1)/3*27/(-9). Sort p, -1, s in increasing order. -1, s, p Let d = 23 - 26. Sort 4, 2, d, -5 in decreasing order. 4, 2, d, -5 Let q = -3 + 3.01. Let s = q + 0.39. Let o be 5/((-250)/(-4))*-5. Put o, -0.2, s in descending order. s, -0.2, o Let p(h) = h**2 - h - 3. Let i be p(-2). Put 0.4, i, -0.2, -0.9 in descending order. i, 0.4, -0.2, -0.9 Let c be (50/(-15) - -4)/(28/(-18)). Sort -1/9, 4, -7, c in decreasing order. 4, -1/9, c, -7 Let v = 0.06 - -0.14. Let h = v - -0.1. Sort h, -0.4, 0. -0.4, 0, h Let v = -0.18 - 2.82. Let t = 1 - 0.8. Let p = -0.4 + t. Sort p, v, 1 in increasing order. v, p, 1 Suppose 3*c - 2 = 1. Let w = -3 - -8. Suppose w*z + 7 = -m, 0*z - 2 = -2*z - 2*m. Put c, z, -3 in descending order. c, z, -3 Suppose -3 + 23 = 5*h. Suppose 0 = h*w - 9*w, c = 2*w + 1. Let p = -0.1 + 0.2. Put p, 2/9, c in descending order. c, 2/9, p Let l be -8 - -5 - (-112)/
{ "pile_set_name": "DM Mathematics" }